======================================================== | | | HYDROLIGHT Version 5.1.0 (MAIN CODE) | | Copyright (c) 2013 by Curtis D. Mobley | | | | This copy of HE5 is licensed solely to | | U Maine Optics Summer Class 2013 | | | | S/N Maine-500-31Aug2013 | | | | THIS PROGRAM IS EXPERIMENTAL AND IS LICENSED "AS IS" | | WITHOUT REPRESENTATION OF WARRANTY OF ANY KIND, | | EITHER EXPRESS OR IMPLIED. THE ENTIRE RISK AS TO | | THE QUALITY AND PERFORMANCE OF HYDROLIGHT IS WITH | | THE USER. HYDROLIGHT IS NOT FAULT TOLERANT. | | | ======================================================== RUN TITLE: New (07/17/2013 17:00) Run started on 07/17/2013 at 17:00:27.4 The radiance distribution is computed on the following (Theta,Phi,Depth,Wavelength) grid: I Theta Mu J Phi K zeta z L Lambda (deg) (deg) (m) (nm) 1 87.500 0.0436 1 0.00 1 0.000 1 355.00 2 80.000 0.1730 2 15.00 2 0.010 2 365.00 3 70.000 0.3407 3 30.00 3 1.000 3 375.00 4 60.000 0.4981 4 45.00 4 1.010 4 385.00 5 50.000 0.6403 5 60.00 5 2.000 5 395.00 6 40.000 0.7631 6 75.00 6 2.010 6 405.00 7 30.000 0.8627 7 90.00 7 3.000 7 415.00 8 20.000 0.9361 8 105.00 8 3.010 8 425.00 9 10.000 0.9811 9 120.00 9 4.000 9 435.00 10 0.000 0.9981 10 135.00 10 4.010 10 445.00 11 150.00 11 5.000 11 455.00 12 165.00 12 5.010 12 465.00 13 180.00 13 6.000 13 475.00 14 195.00 14 6.010 14 485.00 15 210.00 15 7.000 15 495.00 16 225.00 16 7.010 16 505.00 17 240.00 17 8.000 17 515.00 18 255.00 18 8.010 18 525.00 19 270.00 19 9.000 19 535.00 20 285.00 20 9.010 20 545.00 21 300.00 21 10.000 21 555.00 22 315.00 22 10.010 22 565.00 23 330.00 23 575.00 24 345.00 24 585.00 25 595.00 26 605.00 27 615.00 28 625.00 29 635.00 30 645.00 31 655.00 32 665.00 33 675.00 34 685.00 35 695.00 36 705.00 37 715.00 38 725.00 39 735.00 40 745.00 ***** BEGIN IOP MODEL SPECIFICATIONS ***** The IOP routine "abNewCase1" is being used: Absorption and scattering coefficients for case 1 water (Morel et al. bio-optical models) are used. component 1 is pure water component 2 is small particles component 3 is large particles component 4 is CDOM Pure water a and b values are obtained from the file: ..\data\H2OabDefaults.txt (Linear interpolation is used to define values at all wavelengths) The data file header records from ..\data\H2OabDefaults.txt are: Default "pure water" absorption (a) and scattering (b) coefficients. Based on: 200-300 nm: R.C. Smith and K. Baker, 1981. Appl. Optics 20(2), 177-184. 191 records read The phase function for component 1 comes from a file titled pure sea water (Rayleigh-like phase function); standard quad partition; 7 Sept 98 The chlorophyll concentration is constant with depth with a value of 2.30 (mg/m^3) The phase function for component 2 comes from a file titled Morel Small Particle Case 1 phase function; (Jul 2004) The chlorophyll values at the requested output depths are: depth Chl (m) (mg/m^3) 0.000 2.300 1.000 2.300 2.000 2.300 3.000 2.300 4.000 2.300 5.000 2.300 6.000 2.300 7.000 2.300 8.000 2.300 9.000 2.300 10.000 2.300 chlorophyll AE filename: ..\data\AE_midUVabs.txt ***** END IOP MODEL SPECIFICATIONS ***** ***** BEGIN INELASTIC SCATTER AND INTERNAL SOURCE SPECIFICATIONS ***** Chlorophyll fluorescence is included in this run Chl fluorescent quantum efficiency set to 0.020 CDOM fluorescence is included in this run Raman scattering is included in this run Raman scattering cross-section set to 2.40E-04 m-1 at reference wavelength 488.0 nm ***** END INELASTIC SCATTER AND INTERNAL SOURCE SPECIFICATIONS ***** ***** BEGIN ATMOSPHERIC MODEL SPECIFICATIONS ***** Normalized sky radiances are computed using sky model "HCNRAD" (Harrison and Coombes Normalized RADiances) The cloud fraction is cloud = 0.0 (0 for a clear sky to 1 for a heavy overcast) The sun is placed in quad Q(r,s) = Q( 9, 1) centered at (theta, phi) = (10.000, 0.000) Diffuse and Direct Sky irradiances are computed using the "RADTRANX" (RADTRAN eXtended for 300-1000 nm) model The RADTRAN clear-sky irradiances are adjusted for cloudiness by the model of Kasten and Czeplak The ozone concentration is computed from climatology using Day of Year = 198 latitude = 60.0000 degrees (N is positive) longitude = -68.0000 degrees (E is positive) Binned Monthly Average TOMS v8 Ozone concentrations (in Dobson units) for use in HE5; Sept 2007 Data from 2000-2004 were averaged to give 5-year climatological averages for 5 x 10 deg latitude x longitude regions. For missing data near the poles, the zonal average of the nearest valid latitude band is used. Parameter values used in the RADTRANX model: Solar zenith angle = 10.0 degrees Pressure = 29.9 in. mercury Day of year = 198 Air mass type = 1.0 Relative Humidity = 80.0 % Precipitable water = 2.5 cm 24-hr wind speed = 0.0 m/sec Current wind speed = 0.0 m/sec Visibility = 15.0 km Total ozone = 338.6 Dobson units Irradiances are computed just above the sea surface Aerosol optical thickness at 550 nm = 0.261 ***** END ATMOSPHERIC MODEL SPECIFICATIONS ***** ***** BEGIN AIR-WATER SURFACE SPECIFICATIONS ***** The air-water surface is for a wind speed of 0.0 m/s Index of refraction is constant for all wavelengths with the value: 1.340 ***** END AIR-WATER SURFACE SPECIFICATIONS ***** ***** BEGIN BOTTOM BOUNDARY SPECIFICATIONS ***** The bottom boundary is an infinitely deep, homogeneous water body below depth 10.00 m The actual depth at which the infinitely deep bottom boundary condition will be applied will be determined dynamically from the IOPs to insure a good solution at the requested output depths ***** END BOTTOM BOUNDARY SPECIFICATIONS ***** Initialization of Hydrolight Completed in 0.2 sec. * * * * * Output for wavelength band 1 (350.0 to 360.0 nm; nominal wavelength = 355.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 33.0 m at 355.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 350.0 nm to 360.0 nm: Ed(diffuse) = 3.455E-01 Ed(direct) = 3.389E-01 Ed(total) = 6.844E-01 Absorption Coefficients of Individual Components at 355.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0176 0.0754 0.0000 0.0580 0.1510 3 0.951 1.000 0.0176 0.0754 0.0000 0.0580 0.1510 5 1.902 2.000 0.0176 0.0754 0.0000 0.0580 0.1510 7 2.853 3.000 0.0176 0.0754 0.0000 0.0580 0.1510 9 3.804 4.000 0.0176 0.0754 0.0000 0.0580 0.1510 11 4.755 5.000 0.0176 0.0754 0.0000 0.0580 0.1510 13 5.706 6.000 0.0176 0.0754 0.0000 0.0580 0.1510 15 6.657 7.000 0.0176 0.0754 0.0000 0.0580 0.1510 17 7.608 8.000 0.0176 0.0754 0.0000 0.0580 0.1510 19 8.559 9.000 0.0176 0.0754 0.0000 0.0580 0.1510 21 9.510 10.000 0.0176 0.0754 0.0000 0.0580 0.1510 Scattering Coefficients of Individual Components at 355.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0127 0.2757 0.5116 0.0000 0.8001 3 0.951 1.000 0.0127 0.2757 0.5116 0.0000 0.8001 5 1.902 2.000 0.0127 0.2757 0.5116 0.0000 0.8001 7 2.853 3.000 0.0127 0.2757 0.5116 0.0000 0.8001 9 3.804 4.000 0.0127 0.2757 0.5116 0.0000 0.8001 11 4.755 5.000 0.0127 0.2757 0.5116 0.0000 0.8001 13 5.706 6.000 0.0127 0.2757 0.5116 0.0000 0.8001 15 6.657 7.000 0.0127 0.2757 0.5116 0.0000 0.8001 17 7.608 8.000 0.0127 0.2757 0.5116 0.0000 0.8001 19 8.559 9.000 0.0127 0.2757 0.5116 0.0000 0.8001 21 9.510 10.000 0.0127 0.2757 0.5116 0.0000 0.8001 Backscattering Coefficients of Individual Components at 355.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00634 0.00387 0.00090 0.00000 0.01111 3 0.951 1.000 0.00634 0.00387 0.00090 0.00000 0.01111 5 1.902 2.000 0.00634 0.00387 0.00090 0.00000 0.01111 7 2.853 3.000 0.00634 0.00387 0.00090 0.00000 0.01111 9 3.804 4.000 0.00634 0.00387 0.00090 0.00000 0.01111 11 4.755 5.000 0.00634 0.00387 0.00090 0.00000 0.01111 13 5.706 6.000 0.00634 0.00387 0.00090 0.00000 0.01111 15 6.657 7.000 0.00634 0.00387 0.00090 0.00000 0.01111 17 7.608 8.000 0.00634 0.00387 0.00090 0.00000 0.01111 19 8.559 9.000 0.00634 0.00387 0.00090 0.00000 0.01111 21 9.510 10.000 0.00634 0.00387 0.00090 0.00000 0.01111 Summary of Inherent Optical Properties at 355.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1510 0.8001 0.9510 0.8413 0.01111 0.01389 3 0.951 1.000 0.1510 0.8001 0.9510 0.8413 0.01111 0.01389 5 1.902 2.000 0.1510 0.8001 0.9510 0.8413 0.01111 0.01389 7 2.853 3.000 0.1510 0.8001 0.9510 0.8413 0.01111 0.01389 9 3.804 4.000 0.1510 0.8001 0.9510 0.8413 0.01111 0.01389 11 4.755 5.000 0.1510 0.8001 0.9510 0.8413 0.01111 0.01389 13 5.706 6.000 0.1510 0.8001 0.9510 0.8413 0.01111 0.01389 15 6.657 7.000 0.1510 0.8001 0.9510 0.8413 0.01111 0.01389 17 7.608 8.000 0.1510 0.8001 0.9510 0.8413 0.01111 0.01389 19 8.559 9.000 0.1510 0.8001 0.9510 0.8413 0.01111 0.01389 21 9.510 10.000 0.1510 0.8001 0.9510 0.8413 0.01111 0.01389 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4212E-01 8 20.00 8.0204E-01 7 30.00 6.1983E-01 6 40.00 4.3994E-01 5 50.00 2.9153E-01 4 60.00 1.8419E-01 3 70.00 1.1372E-01 2 80.00 7.0817E-02 1 87.50 4.9994E-02 1 92.50 3.9058E-02 2 100.00 2.8904E-02 3 110.00 2.0803E-02 4 120.00 1.5972E-02 5 130.00 1.3109E-02 6 140.00 1.1402E-02 7 150.00 1.0387E-02 8 160.00 9.7986E-03 9 170.00 9.4922E-03 10 180.00 9.3850E-03 Asymptotic AOP values are MUu(inf) = 0.3737 MUd(inf) = 0.7296 MU(inf) = 0.6607 R(inf) = 0.0342 Lu(inf)/Ed(inf) = 0.007175 (1/sr) k(inf) = 0.2285 (1/m) absorp(check) = 0.1510 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 355.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.4578E-01 9.8535E-01 1.1311E+00 3.6774E-02 6.8442E-01 0.2523 0.6946 0.5726 5.3730E-02 1 0.00 0.00 3.9927E-02 7.3972E-01 7.7965E-01 1.7651E-02 6.6591E-01 0.4421 0.9002 0.8315 2.6507E-02 3 0.95 1.00 3.6002E-02 6.3749E-01 6.7349E-01 1.5333E-02 5.5391E-01 0.4259 0.8689 0.7997 2.7681E-02 5 1.90 2.00 3.1470E-02 5.4086E-01 5.7233E-01 1.3083E-02 4.5773E-01 0.4157 0.8463 0.7769 2.8583E-02 7 2.85 3.00 2.6998E-02 4.5402E-01 4.8102E-01 1.1031E-02 3.7631E-01 0.4086 0.8288 0.7594 2.9313E-02 9 3.80 4.00 2.2865E-02 3.7810E-01 4.0097E-01 9.2185E-03 3.0807E-01 0.4032 0.8148 0.7453 2.9923E-02 11 4.76 5.00 1.9182E-02 3.1292E-01 3.3210E-01 7.6514E-03 2.5131E-01 0.3989 0.8031 0.7337 3.0447E-02 13 5.71 6.00 1.5974E-02 2.5765E-01 2.7363E-01 6.3156E-03 2.0437E-01 0.3954 0.7932 0.7238 3.0902E-02 15 6.66 7.00 1.3222E-02 2.1123E-01 2.2445E-01 5.1888E-03 1.6576E-01 0.3924 0.7847 0.7154 3.1303E-02 17 7.61 8.00 1.0889E-02 1.7253E-01 1.8342E-01 4.2459E-03 1.3413E-01 0.3899 0.7774 0.7081 3.1656E-02 19 8.56 9.00 8.9289E-03 1.4045E-01 1.4938E-01 3.4622E-03 1.0830E-01 0.3878 0.7711 0.7018 3.1968E-02 21 9.51 10.00 7.2939E-03 1.1402E-01 1.2131E-01 2.8146E-03 8.7290E-02 0.3859 0.7656 0.6963 3.2244E-02 K-functions (units of 1/meter) at 355.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.07663 0.13703 0.13394 0.12787 0.18017 0.18160 0.17496 1.000 1.010 1.005 0.12228 0.15781 0.15591 0.15119 0.18776 0.18881 0.18376 2.000 2.010 2.005 0.14527 0.17032 0.16894 0.16540 0.19351 0.19433 0.19027 3.000 3.010 3.005 0.16051 0.17939 0.17833 0.17552 0.19813 0.19881 0.19543 4.000 4.010 4.005 0.17138 0.18635 0.18549 0.18319 0.20198 0.20256 0.19967 5.000 5.010 5.005 0.17964 0.19195 0.19124 0.18929 0.20527 0.20578 0.20326 6.000 6.010 6.005 0.18625 0.19663 0.19602 0.19435 0.20813 0.20857 0.20637 7.000 7.010 7.005 0.19174 0.20063 0.20011 0.19865 0.21064 0.21103 0.20909 8.000 8.010 8.005 0.19642 0.20411 0.20365 0.20238 0.21285 0.21320 0.21149 9.000 9.010 9.005 0.20047 0.20715 0.20675 0.20565 0.21481 0.21511 0.21361 10.000 10.010 10.005 0.20400 0.20983 0.20948 0.20851 0.21654 0.21680 0.21548 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 355.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 3.65872E-01 2.51942E-03 7.69880E-03 1.02182E-02 3.68111E-03 0.021042 9 1 10.0 0.0 180.0 1.60408E-01 2.54613E-03 3.38688E-03 5.93301E-03 3.72012E-03 0.021114 9 4 10.0 45.0 135.0 1.79251E-01 2.53800E-03 3.78500E-03 6.32300E-03 3.70826E-03 0.021116 9 7 10.0 90.0 90.0 2.50669E-01 2.51687E-03 5.29359E-03 7.81046E-03 3.67738E-03 0.021118 8 1 20.0 0.0 180.0 9.58949E-02 2.57378E-03 2.04677E-03 4.62056E-03 3.76054E-03 0.021344 8 4 20.0 45.0 135.0 1.07008E-01 2.55515E-03 2.28393E-03 4.83908E-03 3.73331E-03 0.021344 8 7 20.0 90.0 90.0 1.50381E-01 2.53164E-03 3.20973E-03 5.74137E-03 3.69896E-03 0.021344 7 1 30.0 0.0 180.0 6.75669E-02 2.63146E-03 1.50864E-03 4.14010E-03 3.84481E-03 0.022328 7 4 30.0 45.0 135.0 7.37867E-02 2.62211E-03 1.64752E-03 4.26963E-03 3.83114E-03 0.022328 7 7 30.0 90.0 90.0 9.69960E-02 2.60201E-03 2.16548E-03 4.76749E-03 3.80178E-03 0.022325 6 1 40.0 0.0 180.0 5.55041E-02 2.64023E-03 1.42409E-03 4.06432E-03 3.85763E-03 0.025657 6 4 40.0 45.0 135.0 5.94273E-02 2.62637E-03 1.52488E-03 4.15125E-03 3.83736E-03 0.025660 6 7 40.0 90.0 90.0 7.29519E-02 2.58928E-03 1.87189E-03 4.46117E-03 3.78318E-03 0.025659 5 1 50.0 0.0 180.0 5.14093E-02 2.69354E-03 1.82413E-03 4.51767E-03 3.93551E-03 0.035482 5 4 50.0 45.0 135.0 5.42972E-02 2.67385E-03 1.92770E-03 4.60155E-03 3.90675E-03 0.035503 5 7 50.0 90.0 90.0 6.35742E-02 2.66151E-03 2.25695E-03 4.91846E-03 3.88872E-03 0.035501 4 1 60.0 0.0 180.0 5.33231E-02 2.69362E-03 3.37044E-03 6.06407E-03 3.93563E-03 0.063208 4 4 60.0 45.0 135.0 5.56288E-02 2.68931E-03 3.51615E-03 6.20546E-03 3.92933E-03 0.063207 4 7 60.0 90.0 90.0 6.29388E-02 2.64765E-03 3.97769E-03 6.62534E-03 3.86847E-03 0.063199 3 1 70.0 0.0 180.0 6.39496E-02 2.57836E-03 9.04677E-03 1.16251E-02 3.76722E-03 0.141467 3 4 70.0 45.0 135.0 6.56398E-02 2.55375E-03 9.27426E-03 1.18280E-02 3.73127E-03 0.141290 3 7 70.0 90.0 90.0 7.15859E-02 2.52974E-03 1.01247E-02 1.26544E-02 3.69618E-03 0.141434 2 1 80.0 0.0 180.0 9.53644E-02 1.90796E-03 3.50545E-02 3.69624E-02 2.78770E-03 0.367584 2 4 80.0 45.0 135.0 9.58245E-02 1.89850E-03 3.52002E-02 3.70987E-02 2.77389E-03 0.367340 2 7 80.0 90.0 90.0 9.96323E-02 1.88700E-03 3.66261E-02 3.85131E-02 2.75708E-03 0.367613 1 1 87.5 0.0 180.0 1.43765E-01 8.65271E-04 1.11145E-01 1.12011E-01 1.26424E-03 0.773106 1 4 87.5 45.0 135.0 1.42043E-01 8.91751E-04 1.09819E-01 1.10711E-01 1.30293E-03 0.773143 1 7 87.5 90.0 90.0 1.41779E-01 8.77165E-04 1.09534E-01 1.10411E-01 1.28162E-03 0.772570 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 355.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.022E-02 3.659E-01 1.279E-01 1.261E-01 1.345E-01 1.493E-02 3.599E+00 2.519E-03 3.681E-03 1 0.00 0.00 4.633E-03 1.998E+00 7.977E-03 8.494E-03 9.529E-03 6.957E-03 3.810E+00 3 0.95 1.00 3.871E-03 1.507E+00 8.282E-03 9.104E-03 1.060E-02 6.989E-03 3.961E+00 5 1.90 2.00 3.211E-03 1.112E+00 7.781E-03 8.673E-03 1.025E-02 7.014E-03 4.075E+00 7 2.85 3.00 2.647E-03 8.124E-01 6.986E-03 7.859E-03 9.385E-03 7.035E-03 4.167E+00 9 3.80 4.00 2.173E-03 5.927E-01 6.108E-03 6.916E-03 8.315E-03 7.053E-03 4.243E+00 11 4.76 5.00 1.776E-03 4.336E-01 5.252E-03 5.973E-03 7.210E-03 7.068E-03 4.308E+00 13 5.71 6.00 1.447E-03 3.189E-01 4.465E-03 5.091E-03 6.153E-03 7.081E-03 4.364E+00 15 6.66 7.00 1.176E-03 2.361E-01 3.764E-03 4.297E-03 5.188E-03 7.093E-03 4.413E+00 17 7.61 8.00 9.527E-04 1.761E-01 3.153E-03 3.599E-03 4.331E-03 7.103E-03 4.457E+00 19 8.56 9.00 7.703E-04 1.323E-01 2.627E-03 2.995E-03 3.587E-03 7.112E-03 4.495E+00 21 9.51 10.00 6.215E-04 1.001E-01 2.179E-03 2.478E-03 2.950E-03 7.120E-03 4.528E+00 Waveband 1 of 40 completed in 4.1 sec. * * * * * Output for wavelength band 2 (360.0 to 370.0 nm; nominal wavelength = 365.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 33.0 m at 365.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 360.0 nm to 370.0 nm: Ed(diffuse) = 3.796E-01 Ed(direct) = 4.162E-01 Ed(total) = 7.958E-01 Absorption Coefficients of Individual Components at 365.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0132 0.0686 0.0000 0.0504 0.1322 3 0.931 1.000 0.0132 0.0686 0.0000 0.0504 0.1322 5 1.862 2.000 0.0132 0.0686 0.0000 0.0504 0.1322 7 2.793 3.000 0.0132 0.0686 0.0000 0.0504 0.1322 9 3.723 4.000 0.0132 0.0686 0.0000 0.0504 0.1322 11 4.654 5.000 0.0132 0.0686 0.0000 0.0504 0.1322 13 5.585 6.000 0.0132 0.0686 0.0000 0.0504 0.1322 15 6.516 7.000 0.0132 0.0686 0.0000 0.0504 0.1322 17 7.447 8.000 0.0132 0.0686 0.0000 0.0504 0.1322 19 8.378 9.000 0.0132 0.0686 0.0000 0.0504 0.1322 21 9.309 10.000 0.0132 0.0686 0.0000 0.0504 0.1322 Scattering Coefficients of Individual Components at 365.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0113 0.2757 0.5116 0.0000 0.7986 3 0.931 1.000 0.0113 0.2757 0.5116 0.0000 0.7986 5 1.862 2.000 0.0113 0.2757 0.5116 0.0000 0.7986 7 2.793 3.000 0.0113 0.2757 0.5116 0.0000 0.7986 9 3.723 4.000 0.0113 0.2757 0.5116 0.0000 0.7986 11 4.654 5.000 0.0113 0.2757 0.5116 0.0000 0.7986 13 5.585 6.000 0.0113 0.2757 0.5116 0.0000 0.7986 15 6.516 7.000 0.0113 0.2757 0.5116 0.0000 0.7986 17 7.447 8.000 0.0113 0.2757 0.5116 0.0000 0.7986 19 8.378 9.000 0.0113 0.2757 0.5116 0.0000 0.7986 21 9.309 10.000 0.0113 0.2757 0.5116 0.0000 0.7986 Backscattering Coefficients of Individual Components at 365.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00563 0.00387 0.00090 0.00000 0.01039 3 0.931 1.000 0.00563 0.00387 0.00090 0.00000 0.01039 5 1.862 2.000 0.00563 0.00387 0.00090 0.00000 0.01039 7 2.793 3.000 0.00563 0.00387 0.00090 0.00000 0.01039 9 3.723 4.000 0.00563 0.00387 0.00090 0.00000 0.01039 11 4.654 5.000 0.00563 0.00387 0.00090 0.00000 0.01039 13 5.585 6.000 0.00563 0.00387 0.00090 0.00000 0.01039 15 6.516 7.000 0.00563 0.00387 0.00090 0.00000 0.01039 17 7.447 8.000 0.00563 0.00387 0.00090 0.00000 0.01039 19 8.378 9.000 0.00563 0.00387 0.00090 0.00000 0.01039 21 9.309 10.000 0.00563 0.00387 0.00090 0.00000 0.01039 Summary of Inherent Optical Properties at 365.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1322 0.7986 0.9309 0.8579 0.01039 0.01301 3 0.931 1.000 0.1322 0.7986 0.9309 0.8579 0.01039 0.01301 5 1.862 2.000 0.1322 0.7986 0.9309 0.8579 0.01039 0.01301 7 2.793 3.000 0.1322 0.7986 0.9309 0.8579 0.01039 0.01301 9 3.723 4.000 0.1322 0.7986 0.9309 0.8579 0.01039 0.01301 11 4.654 5.000 0.1322 0.7986 0.9309 0.8579 0.01039 0.01301 13 5.585 6.000 0.1322 0.7986 0.9309 0.8579 0.01039 0.01301 15 6.516 7.000 0.1322 0.7986 0.9309 0.8579 0.01039 0.01301 17 7.447 8.000 0.1322 0.7986 0.9309 0.8579 0.01039 0.01301 19 8.378 9.000 0.1322 0.7986 0.9309 0.8579 0.01039 0.01301 21 9.309 10.000 0.1322 0.7986 0.9309 0.8579 0.01039 0.01301 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4604E-01 8 20.00 8.1440E-01 7 30.00 6.4042E-01 6 40.00 4.6478E-01 5 50.00 3.1586E-01 4 60.00 2.0480E-01 3 70.00 1.2952E-01 2 80.00 8.2247E-02 1 87.50 5.8663E-02 1 92.50 4.6013E-02 2 100.00 3.4125E-02 3 110.00 2.4504E-02 4 120.00 1.8675E-02 5 130.00 1.5177E-02 6 140.00 1.3071E-02 7 150.00 1.1806E-02 8 160.00 1.1068E-02 9 170.00 1.0682E-02 10 180.00 1.0547E-02 Asymptotic AOP values are MUu(inf) = 0.3703 MUd(inf) = 0.7193 MU(inf) = 0.6447 R(inf) = 0.0379 Lu(inf)/Ed(inf) = 0.007716 (1/sr) k(inf) = 0.2051 (1/m) absorp(check) = 0.1322 = k(inf)*MU(inf) The CDOM absorption at each wavelength is constant with depth with a value of 0.00 (1/m) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 365.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.6344E-01 1.1273E+00 1.2908E+00 4.2574E-02 7.9582E-01 0.2605 0.7059 0.5836 5.3497E-02 1 0.00 0.00 5.0288E-02 8.6140E-01 9.1169E-01 2.2235E-02 7.7623E-01 0.4422 0.9011 0.8270 2.8645E-02 3 0.93 1.00 4.6412E-02 7.5921E-01 8.0562E-01 1.9780E-02 6.6021E-01 0.4262 0.8696 0.7949 2.9960E-02 5 1.86 2.00 4.1623E-02 6.5964E-01 7.0126E-01 1.7305E-02 5.5817E-01 0.4158 0.8462 0.7713 3.1003E-02 7 2.79 3.00 3.6657E-02 5.6736E-01 6.0402E-01 1.4965E-02 4.6963E-01 0.4082 0.8277 0.7527 3.1865E-02 9 3.72 4.00 3.1873E-02 4.8424E-01 5.1611E-01 1.2828E-02 3.9354E-01 0.4025 0.8127 0.7377 3.2597E-02 11 4.65 5.00 2.7449E-02 4.1075E-01 4.3820E-01 1.0922E-02 3.2865E-01 0.3979 0.8001 0.7251 3.3232E-02 13 5.59 6.00 2.3461E-02 3.4663E-01 3.7009E-01 9.2460E-03 2.7365E-01 0.3941 0.7894 0.7144 3.3788E-02 15 6.52 7.00 1.9928E-02 2.9125E-01 3.1118E-01 7.7900E-03 2.2725E-01 0.3909 0.7802 0.7052 3.4280E-02 17 7.45 8.00 1.6838E-02 2.4379E-01 2.6063E-01 6.5362E-03 1.8828E-01 0.3882 0.7723 0.6973 3.4716E-02 19 8.38 9.00 1.4163E-02 2.0339E-01 2.1756E-01 5.4643E-03 1.5567E-01 0.3858 0.7654 0.6904 3.5102E-02 21 9.31 10.00 1.1865E-02 1.6919E-01 1.8106E-01 4.5537E-03 1.2847E-01 0.3838 0.7593 0.6844 3.5445E-02 K-functions (units of 1/meter) at 365.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.05673 0.11600 0.11273 0.10544 0.15835 0.15991 0.15240 1.000 1.010 1.005 0.09732 0.13447 0.13233 0.12658 0.16517 0.16636 0.16042 2.000 2.010 2.005 0.11921 0.14618 0.14458 0.14015 0.17049 0.17146 0.16657 3.000 3.010 3.005 0.13418 0.15491 0.15365 0.15008 0.17487 0.17568 0.17153 4.000 4.010 4.005 0.14510 0.16175 0.16072 0.15775 0.17856 0.17927 0.17569 5.000 5.010 5.005 0.15352 0.16733 0.16646 0.16393 0.18176 0.18237 0.17925 6.000 6.010 6.005 0.16032 0.17203 0.17129 0.16911 0.18455 0.18509 0.18235 7.000 7.010 7.005 0.16601 0.17608 0.17543 0.17354 0.18702 0.18750 0.18508 8.000 8.010 8.005 0.17089 0.17961 0.17905 0.17740 0.18921 0.18963 0.18750 9.000 9.010 9.005 0.17513 0.18272 0.18223 0.18079 0.19115 0.19153 0.18964 10.000 10.010 10.005 0.17884 0.18547 0.18504 0.18379 0.19287 0.19320 0.19154 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 365.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 4.02029E-01 3.13606E-03 8.45961E-03 1.15957E-02 3.94065E-03 0.021042 9 1 10.0 0.0 180.0 1.76260E-01 3.16801E-03 3.72155E-03 6.88956E-03 3.98079E-03 0.021114 9 4 10.0 45.0 135.0 1.96968E-01 3.15887E-03 4.15910E-03 7.31797E-03 3.96931E-03 0.021116 9 7 10.0 90.0 90.0 2.75422E-01 3.13499E-03 5.81639E-03 8.95138E-03 3.93930E-03 0.021118 8 1 20.0 0.0 180.0 1.05371E-01 3.20433E-03 2.24904E-03 5.45337E-03 4.02643E-03 0.021344 8 4 20.0 45.0 135.0 1.17583E-01 3.18270E-03 2.50963E-03 5.69233E-03 3.99925E-03 0.021344 8 7 20.0 90.0 90.0 1.65242E-01 3.15736E-03 3.52692E-03 6.68428E-03 3.96741E-03 0.021344 7 1 30.0 0.0 180.0 7.42440E-02 3.27850E-03 1.65772E-03 4.93622E-03 4.11963E-03 0.022328 7 4 30.0 45.0 135.0 8.10784E-02 3.26898E-03 1.81033E-03 5.07931E-03 4.10767E-03 0.022328 7 7 30.0 90.0 90.0 1.06581E-01 3.24935E-03 2.37947E-03 5.62882E-03 4.08300E-03 0.022325 6 1 40.0 0.0 180.0 6.09891E-02 3.29722E-03 1.56482E-03 4.86204E-03 4.14315E-03 0.025657 6 4 40.0 45.0 135.0 6.53000E-02 3.28305E-03 1.67557E-03 4.95862E-03 4.12535E-03 0.025660 6 7 40.0 90.0 90.0 8.01612E-02 3.24469E-03 2.05687E-03 5.30156E-03 4.07714E-03 0.025659 5 1 50.0 0.0 180.0 5.64896E-02 3.36898E-03 2.00439E-03 5.37337E-03 4.23332E-03 0.035482 5 4 50.0 45.0 135.0 5.96630E-02 3.34805E-03 2.11820E-03 5.46625E-03 4.20703E-03 0.035503 5 7 50.0 90.0 90.0 6.98568E-02 3.34223E-03 2.47999E-03 5.82222E-03 4.19971E-03 0.035501 4 1 60.0 0.0 180.0 5.85926E-02 3.37526E-03 3.70352E-03 7.07878E-03 4.24121E-03 0.063208 4 4 60.0 45.0 135.0 6.11262E-02 3.37419E-03 3.86363E-03 7.23782E-03 4.23987E-03 0.063207 4 7 60.0 90.0 90.0 6.91585E-02 3.33306E-03 4.37077E-03 7.70384E-03 4.18819E-03 0.063199 3 1 70.0 0.0 180.0 7.02692E-02 3.23393E-03 9.94079E-03 1.31747E-02 4.06362E-03 0.141467 3 4 70.0 45.0 135.0 7.21265E-02 3.20745E-03 1.01908E-02 1.33982E-02 4.03035E-03 0.141290 3 7 70.0 90.0 90.0 7.86601E-02 3.18868E-03 1.11252E-02 1.43139E-02 4.00677E-03 0.141434 2 1 80.0 0.0 180.0 1.04788E-01 2.39890E-03 3.85186E-02 4.09175E-02 3.01436E-03 0.367584 2 4 80.0 45.0 135.0 1.05294E-01 2.39077E-03 3.86787E-02 4.10695E-02 3.00415E-03 0.367340 2 7 80.0 90.0 90.0 1.09478E-01 2.38608E-03 4.02456E-02 4.26317E-02 2.99825E-03 0.367613 1 1 87.5 0.0 180.0 1.57972E-01 1.08792E-03 1.22129E-01 1.23217E-01 1.36703E-03 0.773106 1 4 87.5 45.0 135.0 1.56080E-01 1.12298E-03 1.20672E-01 1.21795E-01 1.41109E-03 0.773143 1 7 87.5 90.0 90.0 1.55790E-01 1.10916E-03 1.20358E-01 1.21468E-01 1.39372E-03 0.772570 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 365.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.160E-02 4.020E-01 1.406E-01 1.386E-01 1.479E-01 1.457E-02 3.672E+00 3.136E-03 3.941E-03 1 0.00 0.00 5.767E-03 2.374E+00 9.914E-03 1.060E-02 1.196E-02 7.429E-03 3.856E+00 3 0.93 1.00 4.931E-03 1.831E+00 1.045E-02 1.154E-02 1.350E-02 7.469E-03 4.011E+00 5 1.86 2.00 4.187E-03 1.379E+00 1.008E-02 1.129E-02 1.342E-02 7.501E-03 4.133E+00 7 2.79 3.00 3.535E-03 1.028E+00 9.306E-03 1.052E-02 1.265E-02 7.528E-03 4.233E+00 9 3.72 4.00 2.972E-03 7.652E-01 8.368E-03 9.528E-03 1.154E-02 7.552E-03 4.317E+00 11 4.65 5.00 2.489E-03 5.709E-01 7.398E-03 8.464E-03 1.029E-02 7.572E-03 4.389E+00 13 5.59 6.00 2.077E-03 4.282E-01 6.463E-03 7.418E-03 9.036E-03 7.590E-03 4.452E+00 15 6.52 7.00 1.728E-03 3.234E-01 5.599E-03 6.435E-03 7.832E-03 7.606E-03 4.507E+00 17 7.45 8.00 1.435E-03 2.460E-01 4.817E-03 5.536E-03 6.718E-03 7.620E-03 4.556E+00 19 8.38 9.00 1.188E-03 1.885E-01 4.121E-03 4.731E-03 5.714E-03 7.632E-03 4.599E+00 21 9.31 10.00 9.819E-04 1.456E-01 3.508E-03 4.019E-03 4.825E-03 7.643E-03 4.638E+00 Waveband 2 of 40 completed in 4.0 sec. * * * * * Output for wavelength band 3 (370.0 to 380.0 nm; nominal wavelength = 375.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 33.0 m at 375.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 370.0 nm to 380.0 nm: Ed(diffuse) = 3.631E-01 Ed(direct) = 4.377E-01 Ed(total) = 8.008E-01 Absorption Coefficients of Individual Components at 375.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0115 0.0715 0.0000 0.0438 0.1269 3 0.924 1.000 0.0115 0.0715 0.0000 0.0438 0.1269 5 1.848 2.000 0.0115 0.0715 0.0000 0.0438 0.1269 7 2.773 3.000 0.0115 0.0715 0.0000 0.0438 0.1269 9 3.697 4.000 0.0115 0.0715 0.0000 0.0438 0.1269 11 4.621 5.000 0.0115 0.0715 0.0000 0.0438 0.1269 13 5.545 6.000 0.0115 0.0715 0.0000 0.0438 0.1269 15 6.470 7.000 0.0115 0.0715 0.0000 0.0438 0.1269 17 7.394 8.000 0.0115 0.0715 0.0000 0.0438 0.1269 19 8.318 9.000 0.0115 0.0715 0.0000 0.0438 0.1269 21 9.242 10.000 0.0115 0.0715 0.0000 0.0438 0.1269 Scattering Coefficients of Individual Components at 375.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0100 0.2757 0.5116 0.0000 0.7974 3 0.924 1.000 0.0100 0.2757 0.5116 0.0000 0.7974 5 1.848 2.000 0.0100 0.2757 0.5116 0.0000 0.7974 7 2.773 3.000 0.0100 0.2757 0.5116 0.0000 0.7974 9 3.697 4.000 0.0100 0.2757 0.5116 0.0000 0.7974 11 4.621 5.000 0.0100 0.2757 0.5116 0.0000 0.7974 13 5.545 6.000 0.0100 0.2757 0.5116 0.0000 0.7974 15 6.470 7.000 0.0100 0.2757 0.5116 0.0000 0.7974 17 7.394 8.000 0.0100 0.2757 0.5116 0.0000 0.7974 19 8.318 9.000 0.0100 0.2757 0.5116 0.0000 0.7974 21 9.242 10.000 0.0100 0.2757 0.5116 0.0000 0.7974 Backscattering Coefficients of Individual Components at 375.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00501 0.00387 0.00090 0.00000 0.00977 3 0.924 1.000 0.00501 0.00387 0.00090 0.00000 0.00977 5 1.848 2.000 0.00501 0.00387 0.00090 0.00000 0.00977 7 2.773 3.000 0.00501 0.00387 0.00090 0.00000 0.00977 9 3.697 4.000 0.00501 0.00387 0.00090 0.00000 0.00977 11 4.621 5.000 0.00501 0.00387 0.00090 0.00000 0.00977 13 5.545 6.000 0.00501 0.00387 0.00090 0.00000 0.00977 15 6.470 7.000 0.00501 0.00387 0.00090 0.00000 0.00977 17 7.394 8.000 0.00501 0.00387 0.00090 0.00000 0.00977 19 8.318 9.000 0.00501 0.00387 0.00090 0.00000 0.00977 21 9.242 10.000 0.00501 0.00387 0.00090 0.00000 0.00977 Summary of Inherent Optical Properties at 375.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1269 0.7974 0.9242 0.8627 0.00977 0.01225 3 0.924 1.000 0.1269 0.7974 0.9242 0.8627 0.00977 0.01225 5 1.848 2.000 0.1269 0.7974 0.9242 0.8627 0.00977 0.01225 7 2.773 3.000 0.1269 0.7974 0.9242 0.8627 0.00977 0.01225 9 3.697 4.000 0.1269 0.7974 0.9242 0.8627 0.00977 0.01225 11 4.621 5.000 0.1269 0.7974 0.9242 0.8627 0.00977 0.01225 13 5.545 6.000 0.1269 0.7974 0.9242 0.8627 0.00977 0.01225 15 6.470 7.000 0.1269 0.7974 0.9242 0.8627 0.00977 0.01225 17 7.394 8.000 0.1269 0.7974 0.9242 0.8627 0.00977 0.01225 19 8.318 9.000 0.1269 0.7974 0.9242 0.8627 0.00977 0.01225 21 9.242 10.000 0.1269 0.7974 0.9242 0.8627 0.00977 0.01225 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4719E-01 8 20.00 8.1801E-01 7 30.00 6.4648E-01 6 40.00 4.7213E-01 5 50.00 3.2308E-01 4 60.00 2.1088E-01 3 70.00 1.3412E-01 2 80.00 8.5472E-02 1 87.50 6.1010E-02 1 92.50 4.7809E-02 2 100.00 3.5365E-02 3 110.00 2.5261E-02 4 120.00 1.9116E-02 5 130.00 1.5420E-02 6 140.00 1.3189E-02 7 150.00 1.1847E-02 8 160.00 1.1064E-02 9 170.00 1.0653E-02 10 180.00 1.0510E-02 Asymptotic AOP values are MUu(inf) = 0.3671 MUd(inf) = 0.7166 MU(inf) = 0.6416 R(inf) = 0.0381 Lu(inf)/Ed(inf) = 0.007593 (1/sr) k(inf) = 0.1977 (1/m) absorp(check) = 0.1269 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 375.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.5784E-01 1.1186E+00 1.2765E+00 4.1903E-02 8.0081E-01 0.2655 0.7159 0.5945 5.2325E-02 1 0.00 0.00 5.0165E-02 8.6508E-01 9.1525E-01 2.2133E-02 7.8181E-01 0.4412 0.9037 0.8300 2.8310E-02 3 0.92 1.00 4.6721E-02 7.6792E-01 8.1464E-01 1.9862E-02 6.6979E-01 0.4251 0.8722 0.7978 2.9654E-02 5 1.85 2.00 4.2304E-02 6.7239E-01 7.1470E-01 1.7535E-02 5.7051E-01 0.4145 0.8485 0.7737 3.0735E-02 7 2.77 3.00 3.7619E-02 5.8299E-01 6.2061E-01 1.5302E-02 4.8366E-01 0.4068 0.8296 0.7547 3.1638E-02 9 3.70 4.00 3.3025E-02 5.0164E-01 5.3467E-01 1.3237E-02 4.0842E-01 0.4008 0.8142 0.7391 3.2410E-02 11 4.62 5.00 2.8712E-02 4.2901E-01 4.5772E-01 1.1371E-02 3.4371E-01 0.3960 0.8012 0.7261 3.3084E-02 13 5.55 6.00 2.4770E-02 3.6502E-01 3.8979E-01 9.7120E-03 2.8839E-01 0.3921 0.7901 0.7149 3.3677E-02 15 6.47 7.00 2.1233E-02 3.0921E-01 3.3044E-01 8.2545E-03 2.4134E-01 0.3888 0.7805 0.7054 3.4203E-02 17 7.39 8.00 1.8103E-02 2.6093E-01 2.7904E-01 6.9858E-03 2.0149E-01 0.3859 0.7722 0.6971 3.4670E-02 19 8.32 9.00 1.5362E-02 2.1946E-01 2.3482E-01 5.8901E-03 1.6788E-01 0.3834 0.7650 0.6899 3.5086E-02 21 9.24 10.00 1.2982E-02 1.8402E-01 1.9700E-01 4.9500E-03 1.3961E-01 0.3813 0.7587 0.6836 3.5455E-02 K-functions (units of 1/meter) at 375.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.04843 0.10945 0.10610 0.09702 0.15128 0.15286 0.14474 1.000 1.010 1.005 0.08785 0.12695 0.12470 0.11762 0.15779 0.15902 0.15251 2.000 2.010 2.005 0.10954 0.13826 0.13656 0.13105 0.16296 0.16397 0.15854 3.000 3.010 3.005 0.12452 0.14681 0.14546 0.14099 0.16724 0.16810 0.16347 4.000 4.010 4.005 0.13556 0.15357 0.15246 0.14873 0.17090 0.17164 0.16763 5.000 5.010 5.005 0.14412 0.15914 0.15819 0.15502 0.17407 0.17472 0.17121 6.000 6.010 6.005 0.15109 0.16386 0.16304 0.16031 0.17686 0.17744 0.17434 7.000 7.010 7.005 0.15694 0.16794 0.16723 0.16486 0.17933 0.17985 0.17711 8.000 8.010 8.005 0.16198 0.17152 0.17090 0.16883 0.18153 0.18199 0.17957 9.000 9.010 9.005 0.16637 0.17468 0.17414 0.17234 0.18348 0.18389 0.18176 10.000 10.010 10.005 0.17023 0.17749 0.17701 0.17544 0.18522 0.18558 0.18370 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 375.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 3.84515E-01 3.09321E-03 8.09107E-03 1.11843E-02 3.86260E-03 0.021042 9 1 10.0 0.0 180.0 1.68581E-01 3.12397E-03 3.55939E-03 6.68336E-03 3.90102E-03 0.021114 9 4 10.0 45.0 135.0 1.88390E-01 3.11549E-03 3.97797E-03 7.09346E-03 3.89043E-03 0.021116 9 7 10.0 90.0 90.0 2.63408E-01 3.09339E-03 5.56271E-03 8.65610E-03 3.86283E-03 0.021118 8 1 20.0 0.0 180.0 1.00781E-01 3.16082E-03 2.15106E-03 5.31188E-03 3.94704E-03 0.021344 8 4 20.0 45.0 135.0 1.12460E-01 3.14039E-03 2.40030E-03 5.54069E-03 3.92153E-03 0.021344 8 7 20.0 90.0 90.0 1.58043E-01 3.11777E-03 3.37328E-03 6.49105E-03 3.89328E-03 0.021344 7 1 30.0 0.0 180.0 7.10097E-02 3.23529E-03 1.58550E-03 4.82080E-03 4.04003E-03 0.022328 7 4 30.0 45.0 135.0 7.75463E-02 3.22716E-03 1.73146E-03 4.95862E-03 4.02987E-03 0.022328 7 7 30.0 90.0 90.0 1.01938E-01 3.21107E-03 2.27581E-03 5.48689E-03 4.00979E-03 0.022325 6 1 40.0 0.0 180.0 5.83322E-02 3.25825E-03 1.49665E-03 4.75490E-03 4.06870E-03 0.025657 6 4 40.0 45.0 135.0 6.24553E-02 3.24615E-03 1.60258E-03 4.84873E-03 4.05359E-03 0.025660 6 7 40.0 90.0 90.0 7.66690E-02 3.21319E-03 1.96726E-03 5.18046E-03 4.01243E-03 0.025659 5 1 50.0 0.0 180.0 5.40287E-02 3.33232E-03 1.91707E-03 5.24939E-03 4.16119E-03 0.035482 5 4 50.0 45.0 135.0 5.70638E-02 3.31390E-03 2.02592E-03 5.33982E-03 4.13819E-03 0.035503 5 7 50.0 90.0 90.0 6.68135E-02 3.31427E-03 2.37195E-03 5.68622E-03 4.13865E-03 0.035501 4 1 60.0 0.0 180.0 5.60400E-02 3.34228E-03 3.54218E-03 6.88446E-03 4.17363E-03 0.063208 4 4 60.0 45.0 135.0 5.84633E-02 3.34394E-03 3.69531E-03 7.03926E-03 4.17571E-03 0.063207 4 7 60.0 90.0 90.0 6.61457E-02 3.31042E-03 4.18036E-03 7.49078E-03 4.13384E-03 0.063199 3 1 70.0 0.0 180.0 6.72080E-02 3.20446E-03 9.50773E-03 1.27122E-02 4.00153E-03 0.141467 3 4 70.0 45.0 135.0 6.89844E-02 3.18103E-03 9.74682E-03 1.29278E-02 3.97227E-03 0.141290 3 7 70.0 90.0 90.0 7.52334E-02 3.16996E-03 1.06406E-02 1.38105E-02 3.95845E-03 0.141434 2 1 80.0 0.0 180.0 1.00223E-01 2.38106E-03 3.68406E-02 3.92216E-02 2.97331E-03 0.367584 2 4 80.0 45.0 135.0 1.00707E-01 2.37548E-03 3.69937E-02 3.93692E-02 2.96635E-03 0.367340 2 7 80.0 90.0 90.0 1.04709E-01 2.37754E-03 3.84923E-02 4.08699E-02 2.96892E-03 0.367613 1 1 87.5 0.0 180.0 1.51090E-01 1.07983E-03 1.16808E-01 1.17888E-01 1.34842E-03 0.773106 1 4 87.5 45.0 135.0 1.49280E-01 1.11579E-03 1.15415E-01 1.16531E-01 1.39333E-03 0.773143 1 7 87.5 90.0 90.0 1.49003E-01 1.10519E-03 1.15115E-01 1.16220E-01 1.38009E-03 0.772570 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 375.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.118E-02 3.845E-01 1.345E-01 1.326E-01 1.415E-01 1.397E-02 3.747E+00 3.093E-03 3.863E-03 1 0.00 0.00 5.688E-03 2.433E+00 9.845E-03 1.058E-02 1.202E-02 7.275E-03 3.891E+00 3 0.92 1.00 4.902E-03 1.891E+00 1.045E-02 1.160E-02 1.368E-02 7.318E-03 4.052E+00 5 1.85 2.00 4.195E-03 1.435E+00 1.018E-02 1.147E-02 1.375E-02 7.354E-03 4.180E+00 7 2.77 3.00 3.571E-03 1.077E+00 9.501E-03 1.081E-02 1.310E-02 7.384E-03 4.285E+00 9 3.70 4.00 3.026E-03 8.061E-01 8.632E-03 9.895E-03 1.209E-02 7.410E-03 4.374E+00 11 4.62 5.00 2.555E-03 6.049E-01 7.710E-03 8.882E-03 1.090E-02 7.432E-03 4.451E+00 13 5.55 6.00 2.149E-03 4.564E-01 6.804E-03 7.864E-03 9.666E-03 7.452E-03 4.519E+00 15 6.47 7.00 1.803E-03 3.466E-01 5.952E-03 6.890E-03 8.461E-03 7.470E-03 4.579E+00 17 7.39 8.00 1.508E-03 2.652E-01 5.170E-03 5.986E-03 7.329E-03 7.486E-03 4.631E+00 19 8.32 9.00 1.259E-03 2.045E-01 4.466E-03 5.164E-03 6.292E-03 7.500E-03 4.678E+00 21 9.24 10.00 1.049E-03 1.588E-01 3.838E-03 4.428E-03 5.361E-03 7.512E-03 4.720E+00 Waveband 3 of 40 completed in 3.9 sec. * * * * * Output for wavelength band 4 (380.0 to 390.0 nm; nominal wavelength = 385.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 33.0 m at 385.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 380.0 nm to 390.0 nm: Ed(diffuse) = 3.068E-01 Ed(direct) = 4.038E-01 Ed(total) = 7.107E-01 Absorption Coefficients of Individual Components at 385.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0094 0.0752 0.0000 0.0381 0.1227 3 0.919 1.000 0.0094 0.0752 0.0000 0.0381 0.1227 5 1.838 2.000 0.0094 0.0752 0.0000 0.0381 0.1227 7 2.757 3.000 0.0094 0.0752 0.0000 0.0381 0.1227 9 3.676 4.000 0.0094 0.0752 0.0000 0.0381 0.1227 11 4.595 5.000 0.0094 0.0752 0.0000 0.0381 0.1227 13 5.514 6.000 0.0094 0.0752 0.0000 0.0381 0.1227 15 6.433 7.000 0.0094 0.0752 0.0000 0.0381 0.1227 17 7.352 8.000 0.0094 0.0752 0.0000 0.0381 0.1227 19 8.271 9.000 0.0094 0.0752 0.0000 0.0381 0.1227 21 9.190 10.000 0.0094 0.0752 0.0000 0.0381 0.1227 Scattering Coefficients of Individual Components at 385.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0089 0.2757 0.5116 0.0000 0.7963 3 0.919 1.000 0.0089 0.2757 0.5116 0.0000 0.7963 5 1.838 2.000 0.0089 0.2757 0.5116 0.0000 0.7963 7 2.757 3.000 0.0089 0.2757 0.5116 0.0000 0.7963 9 3.676 4.000 0.0089 0.2757 0.5116 0.0000 0.7963 11 4.595 5.000 0.0089 0.2757 0.5116 0.0000 0.7963 13 5.514 6.000 0.0089 0.2757 0.5116 0.0000 0.7963 15 6.433 7.000 0.0089 0.2757 0.5116 0.0000 0.7963 17 7.352 8.000 0.0089 0.2757 0.5116 0.0000 0.7963 19 8.271 9.000 0.0089 0.2757 0.5116 0.0000 0.7963 21 9.190 10.000 0.0089 0.2757 0.5116 0.0000 0.7963 Backscattering Coefficients of Individual Components at 385.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00447 0.00387 0.00090 0.00000 0.00923 3 0.919 1.000 0.00447 0.00387 0.00090 0.00000 0.00923 5 1.838 2.000 0.00447 0.00387 0.00090 0.00000 0.00923 7 2.757 3.000 0.00447 0.00387 0.00090 0.00000 0.00923 9 3.676 4.000 0.00447 0.00387 0.00090 0.00000 0.00923 11 4.595 5.000 0.00447 0.00387 0.00090 0.00000 0.00923 13 5.514 6.000 0.00447 0.00387 0.00090 0.00000 0.00923 15 6.433 7.000 0.00447 0.00387 0.00090 0.00000 0.00923 17 7.352 8.000 0.00447 0.00387 0.00090 0.00000 0.00923 19 8.271 9.000 0.00447 0.00387 0.00090 0.00000 0.00923 21 9.190 10.000 0.00447 0.00387 0.00090 0.00000 0.00923 Summary of Inherent Optical Properties at 385.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1227 0.7963 0.9190 0.8665 0.00923 0.01160 3 0.919 1.000 0.1227 0.7963 0.9190 0.8665 0.00923 0.01160 5 1.838 2.000 0.1227 0.7963 0.9190 0.8665 0.00923 0.01160 7 2.757 3.000 0.1227 0.7963 0.9190 0.8665 0.00923 0.01160 9 3.676 4.000 0.1227 0.7963 0.9190 0.8665 0.00923 0.01160 11 4.595 5.000 0.1227 0.7963 0.9190 0.8665 0.00923 0.01160 13 5.514 6.000 0.1227 0.7963 0.9190 0.8665 0.00923 0.01160 15 6.433 7.000 0.1227 0.7963 0.9190 0.8665 0.00923 0.01160 17 7.352 8.000 0.1227 0.7963 0.9190 0.8665 0.00923 0.01160 19 8.271 9.000 0.1227 0.7963 0.9190 0.8665 0.00923 0.01160 21 9.190 10.000 0.1227 0.7963 0.9190 0.8665 0.00923 0.01160 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4809E-01 8 20.00 8.2085E-01 7 30.00 6.5126E-01 6 40.00 4.7795E-01 5 50.00 3.2882E-01 4 60.00 2.1575E-01 3 70.00 1.3780E-01 2 80.00 8.8049E-02 1 87.50 6.2871E-02 1 92.50 4.9219E-02 2 100.00 3.6319E-02 3 110.00 2.5816E-02 4 120.00 1.9411E-02 5 130.00 1.5550E-02 6 140.00 1.3216E-02 7 150.00 1.1811E-02 8 160.00 1.0990E-02 9 170.00 1.0559E-02 10 180.00 1.0409E-02 Asymptotic AOP values are MUu(inf) = 0.3642 MUd(inf) = 0.7145 MU(inf) = 0.6394 R(inf) = 0.0381 Lu(inf)/Ed(inf) = 0.007446 (1/sr) k(inf) = 0.1919 (1/m) absorp(check) = 0.1227 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 385.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.3461E-01 9.7990E-01 1.1145E+00 3.6385E-02 7.1066E-01 0.2703 0.7252 0.6050 5.1199E-02 1 0.00 0.00 4.3979E-02 7.6616E-01 8.1014E-01 1.9362E-02 6.9434E-01 0.4403 0.9063 0.8332 2.7886E-02 3 0.92 1.00 4.1267E-02 6.8393E-01 7.2520E-01 1.7500E-02 5.9826E-01 0.4241 0.8747 0.8008 2.9252E-02 5 1.84 2.00 3.7660E-02 6.0253E-01 6.4019E-01 1.5564E-02 5.1260E-01 0.4133 0.8507 0.7764 3.0362E-02 7 2.76 3.00 3.3755E-02 5.2575E-01 5.5951E-01 1.3683E-02 4.3719E-01 0.4054 0.8315 0.7569 3.1297E-02 9 3.68 4.00 2.9866E-02 4.5533E-01 4.8520E-01 1.1924E-02 3.7141E-01 0.3992 0.8157 0.7409 3.2103E-02 11 4.60 5.00 2.6166E-02 3.9195E-01 4.1811E-01 1.0318E-02 3.1447E-01 0.3943 0.8023 0.7274 3.2809E-02 13 5.51 6.00 2.2746E-02 3.3566E-01 3.5841E-01 8.8758E-03 2.6547E-01 0.3902 0.7909 0.7159 3.3434E-02 15 6.43 7.00 1.9643E-02 2.8620E-01 3.0584E-01 7.5972E-03 2.2352E-01 0.3868 0.7810 0.7060 3.3989E-02 17 7.35 8.00 1.6870E-02 2.4308E-01 2.5995E-01 6.4744E-03 1.8776E-01 0.3838 0.7724 0.6974 3.4483E-02 19 8.27 9.00 1.4418E-02 2.0575E-01 2.2017E-01 5.4965E-03 1.5739E-01 0.3812 0.7649 0.6899 3.4924E-02 21 9.19 10.00 1.2270E-02 1.7363E-01 1.8590E-01 4.6504E-03 1.3168E-01 0.3790 0.7584 0.6833 3.5315E-02 K-functions (units of 1/meter) at 385.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.04155 0.10431 0.10091 0.09012 0.14568 0.14728 0.13859 1.000 1.010 1.005 0.08009 0.12101 0.11868 0.11032 0.15196 0.15322 0.14617 2.000 2.010 2.005 0.10163 0.13199 0.13021 0.12365 0.15699 0.15804 0.15212 3.000 3.010 3.005 0.11664 0.14037 0.13894 0.13360 0.16121 0.16210 0.15702 4.000 4.010 4.005 0.12777 0.14707 0.14588 0.14141 0.16482 0.16560 0.16118 5.000 5.010 5.005 0.13648 0.15262 0.15161 0.14779 0.16798 0.16866 0.16478 6.000 6.010 6.005 0.14359 0.15735 0.15648 0.15319 0.17077 0.17137 0.16795 7.000 7.010 7.005 0.14959 0.16147 0.16070 0.15785 0.17324 0.17379 0.17076 8.000 8.010 8.005 0.15474 0.16508 0.16440 0.16193 0.17545 0.17593 0.17326 9.000 9.010 9.005 0.15930 0.16829 0.16770 0.16554 0.17742 0.17785 0.17549 10.000 10.010 10.005 0.16329 0.17114 0.17062 0.16873 0.17917 0.17955 0.17747 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 385.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 3.24937E-01 2.68252E-03 6.83742E-03 9.51994E-03 3.77470E-03 0.021042 9 1 10.0 0.0 180.0 1.42461E-01 2.70848E-03 3.00787E-03 5.71635E-03 3.81124E-03 0.021114 9 4 10.0 45.0 135.0 1.59203E-01 2.70159E-03 3.36166E-03 6.06325E-03 3.80154E-03 0.021116 9 7 10.0 90.0 90.0 2.22581E-01 2.68369E-03 4.70057E-03 7.38426E-03 3.77635E-03 0.021118 8 1 20.0 0.0 180.0 8.51658E-02 2.74123E-03 1.81777E-03 4.55900E-03 3.85732E-03 0.021344 8 4 20.0 45.0 135.0 9.50354E-02 2.72430E-03 2.02839E-03 4.75269E-03 3.83350E-03 0.021344 8 7 20.0 90.0 90.0 1.33556E-01 2.70675E-03 2.85061E-03 5.55737E-03 3.80880E-03 0.021344 7 1 30.0 0.0 180.0 6.00073E-02 2.80685E-03 1.33984E-03 4.14669E-03 3.94965E-03 0.022328 7 4 30.0 45.0 135.0 6.55311E-02 2.80088E-03 1.46319E-03 4.26407E-03 3.94126E-03 0.022328 7 7 30.0 90.0 90.0 8.61437E-02 2.78978E-03 1.92319E-03 4.71298E-03 3.92564E-03 0.022325 6 1 40.0 0.0 180.0 4.92940E-02 2.83038E-03 1.26476E-03 4.09513E-03 3.98276E-03 0.025657 6 4 40.0 45.0 135.0 5.27783E-02 2.82151E-03 1.35427E-03 4.17578E-03 3.97028E-03 0.025660 6 7 40.0 90.0 90.0 6.47898E-02 2.79716E-03 1.66245E-03 4.45961E-03 3.93601E-03 0.025659 5 1 50.0 0.0 180.0 4.56574E-02 2.89727E-03 1.62004E-03 4.51731E-03 4.07689E-03 0.035482 5 4 50.0 45.0 135.0 4.82222E-02 2.88322E-03 1.71202E-03 4.59524E-03 4.05712E-03 0.035503 5 7 50.0 90.0 90.0 5.64613E-02 2.88883E-03 2.00443E-03 4.89326E-03 4.06500E-03 0.035501 4 1 60.0 0.0 180.0 4.73571E-02 2.90897E-03 2.99335E-03 5.90231E-03 4.09334E-03 0.063208 4 4 60.0 45.0 135.0 4.94049E-02 2.91275E-03 3.12275E-03 6.03551E-03 4.09868E-03 0.063207 4 7 60.0 90.0 90.0 5.58969E-02 2.88977E-03 3.53265E-03 6.42241E-03 4.06633E-03 0.063199 3 1 70.0 0.0 180.0 5.67947E-02 2.79075E-03 8.03458E-03 1.08253E-02 3.92700E-03 0.141467 3 4 70.0 45.0 135.0 5.82958E-02 2.77275E-03 8.23662E-03 1.10094E-02 3.90167E-03 0.141290 3 7 70.0 90.0 90.0 6.35766E-02 2.76957E-03 8.99189E-03 1.17615E-02 3.89720E-03 0.141434 2 1 80.0 0.0 180.0 8.46946E-02 2.07691E-03 3.11324E-02 3.32093E-02 2.92252E-03 0.367584 2 4 80.0 45.0 135.0 8.51033E-02 2.07417E-03 3.12618E-02 3.33360E-02 2.91867E-03 0.367340 2 7 80.0 90.0 90.0 8.84850E-02 2.08173E-03 3.25282E-02 3.46100E-02 2.92930E-03 0.367613 1 1 87.5 0.0 180.0 1.27680E-01 9.41891E-04 9.87099E-02 9.96517E-02 1.32538E-03 0.773106 1 4 87.5 45.0 135.0 1.26150E-01 9.74266E-04 9.75323E-02 9.85066E-02 1.37094E-03 0.773143 1 7 87.5 90.0 90.0 1.25916E-01 9.67684E-04 9.72790E-02 9.82467E-02 1.36167E-03 0.772570 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 385.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 9.520E-03 3.249E-01 1.137E-01 1.121E-01 1.196E-01 1.340E-02 3.822E+00 2.683E-03 3.775E-03 1 0.00 0.00 4.933E-03 2.194E+00 8.597E-03 9.284E-03 1.061E-02 7.104E-03 3.925E+00 3 0.92 1.00 4.278E-03 1.717E+00 9.184E-03 1.025E-02 1.217E-02 7.150E-03 4.091E+00 5 1.84 2.00 3.685E-03 1.310E+00 9.020E-03 1.022E-02 1.234E-02 7.188E-03 4.224E+00 7 2.76 3.00 3.157E-03 9.881E-01 8.486E-03 9.716E-03 1.187E-02 7.221E-03 4.334E+00 9 3.68 4.00 2.692E-03 7.433E-01 7.776E-03 8.970E-03 1.105E-02 7.249E-03 4.429E+00 11 4.60 5.00 2.287E-03 5.603E-01 7.003E-03 8.122E-03 1.005E-02 7.274E-03 4.511E+00 13 5.51 6.00 1.937E-03 4.246E-01 6.232E-03 7.251E-03 8.987E-03 7.296E-03 4.583E+00 15 6.43 7.00 1.635E-03 3.239E-01 5.495E-03 6.405E-03 7.931E-03 7.315E-03 4.646E+00 17 7.35 8.00 1.377E-03 2.490E-01 4.811E-03 5.609E-03 6.923E-03 7.332E-03 4.703E+00 19 8.27 9.00 1.156E-03 1.928E-01 4.188E-03 4.876E-03 5.989E-03 7.347E-03 4.753E+00 21 9.19 10.00 9.693E-04 1.504E-01 3.626E-03 4.213E-03 5.141E-03 7.361E-03 4.798E+00 Waveband 4 of 40 completed in 4.0 sec. * * * * * Output for wavelength band 5 (390.0 to 400.0 nm; nominal wavelength = 395.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 33.0 m at 395.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 390.0 nm to 400.0 nm: Ed(diffuse) = 3.635E-01 Ed(direct) = 5.193E-01 Ed(total) = 8.828E-01 Absorption Coefficients of Individual Components at 395.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0081 0.0765 0.0000 0.0331 0.1177 3 0.913 1.000 0.0081 0.0765 0.0000 0.0331 0.1177 5 1.826 2.000 0.0081 0.0765 0.0000 0.0331 0.1177 7 2.739 3.000 0.0081 0.0765 0.0000 0.0331 0.1177 9 3.652 4.000 0.0081 0.0765 0.0000 0.0331 0.1177 11 4.566 5.000 0.0081 0.0765 0.0000 0.0331 0.1177 13 5.479 6.000 0.0081 0.0765 0.0000 0.0331 0.1177 15 6.392 7.000 0.0081 0.0765 0.0000 0.0331 0.1177 17 7.305 8.000 0.0081 0.0765 0.0000 0.0331 0.1177 19 8.218 9.000 0.0081 0.0765 0.0000 0.0331 0.1177 21 9.131 10.000 0.0081 0.0765 0.0000 0.0331 0.1177 Scattering Coefficients of Individual Components at 395.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0080 0.2757 0.5116 0.0000 0.7954 3 0.913 1.000 0.0080 0.2757 0.5116 0.0000 0.7954 5 1.826 2.000 0.0080 0.2757 0.5116 0.0000 0.7954 7 2.739 3.000 0.0080 0.2757 0.5116 0.0000 0.7954 9 3.652 4.000 0.0080 0.2757 0.5116 0.0000 0.7954 11 4.566 5.000 0.0080 0.2757 0.5116 0.0000 0.7954 13 5.479 6.000 0.0080 0.2757 0.5116 0.0000 0.7954 15 6.392 7.000 0.0080 0.2757 0.5116 0.0000 0.7954 17 7.305 8.000 0.0080 0.2757 0.5116 0.0000 0.7954 19 8.218 9.000 0.0080 0.2757 0.5116 0.0000 0.7954 21 9.131 10.000 0.0080 0.2757 0.5116 0.0000 0.7954 Backscattering Coefficients of Individual Components at 395.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00400 0.00387 0.00090 0.00000 0.00877 3 0.913 1.000 0.00400 0.00387 0.00090 0.00000 0.00877 5 1.826 2.000 0.00400 0.00387 0.00090 0.00000 0.00877 7 2.739 3.000 0.00400 0.00387 0.00090 0.00000 0.00877 9 3.652 4.000 0.00400 0.00387 0.00090 0.00000 0.00877 11 4.566 5.000 0.00400 0.00387 0.00090 0.00000 0.00877 13 5.479 6.000 0.00400 0.00387 0.00090 0.00000 0.00877 15 6.392 7.000 0.00400 0.00387 0.00090 0.00000 0.00877 17 7.305 8.000 0.00400 0.00387 0.00090 0.00000 0.00877 19 8.218 9.000 0.00400 0.00387 0.00090 0.00000 0.00877 21 9.131 10.000 0.00400 0.00387 0.00090 0.00000 0.00877 Summary of Inherent Optical Properties at 395.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1177 0.7954 0.9131 0.8711 0.00877 0.01102 3 0.913 1.000 0.1177 0.7954 0.9131 0.8711 0.00877 0.01102 5 1.826 2.000 0.1177 0.7954 0.9131 0.8711 0.00877 0.01102 7 2.739 3.000 0.1177 0.7954 0.9131 0.8711 0.00877 0.01102 9 3.652 4.000 0.1177 0.7954 0.9131 0.8711 0.00877 0.01102 11 4.566 5.000 0.1177 0.7954 0.9131 0.8711 0.00877 0.01102 13 5.479 6.000 0.1177 0.7954 0.9131 0.8711 0.00877 0.01102 15 6.392 7.000 0.1177 0.7954 0.9131 0.8711 0.00877 0.01102 17 7.305 8.000 0.1177 0.7954 0.9131 0.8711 0.00877 0.01102 19 8.218 9.000 0.1177 0.7954 0.9131 0.8711 0.00877 0.01102 21 9.131 10.000 0.1177 0.7954 0.9131 0.8711 0.00877 0.01102 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4919E-01 8 20.00 8.2436E-01 7 30.00 6.5721E-01 6 40.00 4.8529E-01 5 50.00 3.3618E-01 4 60.00 2.2211E-01 3 70.00 1.4274E-01 2 80.00 9.1618E-02 1 87.50 6.5538E-02 1 92.50 5.1307E-02 2 100.00 3.7814E-02 3 110.00 2.6784E-02 4 120.00 2.0028E-02 5 130.00 1.5942E-02 6 140.00 1.3466E-02 7 150.00 1.1972E-02 8 160.00 1.1097E-02 9 170.00 1.0638E-02 10 180.00 1.0478E-02 Asymptotic AOP values are MUu(inf) = 0.3617 MUd(inf) = 0.7117 MU(inf) = 0.6358 R(inf) = 0.0387 Lu(inf)/Ed(inf) = 0.007402 (1/sr) k(inf) = 0.1852 (1/m) absorp(check) = 0.1177 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 395.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.6136E-01 1.2025E+00 1.3639E+00 4.4513E-02 8.8279E-01 0.2759 0.7341 0.6146 5.0424E-02 1 0.00 0.00 5.5103E-02 9.5078E-01 1.0059E+00 2.4237E-02 8.6341E-01 0.4398 0.9081 0.8343 2.8071E-02 3 0.91 1.00 5.2078E-02 8.5425E-01 9.0633E-01 2.2064E-02 7.4881E-01 0.4237 0.8766 0.8019 2.9466E-02 5 1.83 2.00 4.7905E-02 7.5786E-01 8.0576E-01 1.9772E-02 6.4593E-01 0.4127 0.8523 0.7771 3.0611E-02 7 2.74 3.00 4.3291E-02 6.6609E-01 7.0938E-01 1.7518E-02 5.5468E-01 0.4047 0.8327 0.7572 3.1582E-02 9 3.65 4.00 3.8620E-02 5.8113E-01 6.1975E-01 1.5385E-02 4.7450E-01 0.3984 0.8165 0.7408 3.2424E-02 11 4.57 5.00 3.4114E-02 5.0395E-01 5.3806E-01 1.3416E-02 4.0455E-01 0.3933 0.8028 0.7269 3.3164E-02 13 5.48 6.00 2.9895E-02 4.3479E-01 4.6468E-01 1.1631E-02 3.4390E-01 0.3890 0.7910 0.7150 3.3820E-02 15 6.39 7.00 2.6025E-02 3.7346E-01 3.9948E-01 1.0031E-02 2.9158E-01 0.3855 0.7807 0.7048 3.4404E-02 17 7.30 8.00 2.2527E-02 3.1954E-01 3.4206E-01 8.6136E-03 2.4663E-01 0.3824 0.7719 0.6958 3.4925E-02 19 8.22 9.00 1.9403E-02 2.7246E-01 2.9186E-01 7.3673E-03 2.0818E-01 0.3797 0.7641 0.6881 3.5388E-02 21 9.13 10.00 1.6639E-02 2.3160E-01 2.4824E-01 6.2795E-03 1.7540E-01 0.3774 0.7573 0.6813 3.5801E-02 K-functions (units of 1/meter) at 395.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.03529 0.09832 0.09487 0.08331 0.13929 0.14091 0.13216 1.000 1.010 1.005 0.07238 0.11421 0.11181 0.10285 0.14531 0.14660 0.13950 2.000 2.010 2.005 0.09353 0.12485 0.12299 0.11596 0.15020 0.15128 0.14532 3.000 3.010 3.005 0.10842 0.13306 0.13156 0.12583 0.15433 0.15526 0.15015 4.000 4.010 4.005 0.11956 0.13968 0.13843 0.13364 0.15790 0.15871 0.15428 5.000 5.010 5.005 0.12834 0.14522 0.14415 0.14007 0.16103 0.16174 0.15787 6.000 6.010 6.005 0.13556 0.14996 0.14903 0.14553 0.16380 0.16444 0.16104 7.000 7.010 7.005 0.14166 0.15410 0.15329 0.15027 0.16628 0.16685 0.16386 8.000 8.010 8.005 0.14695 0.15775 0.15704 0.15443 0.16849 0.16900 0.16638 9.000 9.010 9.005 0.15158 0.16100 0.16037 0.15811 0.17046 0.17091 0.16862 10.000 10.010 10.005 0.15567 0.16388 0.16333 0.16137 0.17222 0.17262 0.17062 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 395.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 3.84899E-01 3.33384E-03 8.09916E-03 1.14330E-02 3.77649E-03 0.021042 9 1 10.0 0.0 180.0 1.68750E-01 3.36464E-03 3.56289E-03 6.92753E-03 3.81138E-03 0.021113 9 4 10.0 45.0 135.0 1.88584E-01 3.35683E-03 3.98205E-03 7.33888E-03 3.80253E-03 0.021116 9 7 10.0 90.0 90.0 2.63638E-01 3.33652E-03 5.56768E-03 8.90420E-03 3.77952E-03 0.021119 8 1 20.0 0.0 180.0 1.00882E-01 3.40598E-03 2.15321E-03 5.55920E-03 3.85821E-03 0.021344 8 4 20.0 45.0 135.0 1.12573E-01 3.38618E-03 2.40270E-03 5.78887E-03 3.83577E-03 0.021344 8 7 20.0 90.0 90.0 1.58201E-01 3.36747E-03 3.37665E-03 6.74413E-03 3.81459E-03 0.021344 7 1 30.0 0.0 180.0 7.10807E-02 3.48851E-03 1.58709E-03 5.07560E-03 3.95169E-03 0.022328 7 4 30.0 45.0 135.0 7.76239E-02 3.48277E-03 1.73320E-03 5.21596E-03 3.94519E-03 0.022328 7 7 30.0 90.0 90.0 1.02040E-01 3.47321E-03 2.27809E-03 5.75130E-03 3.93437E-03 0.022325 6 1 40.0 0.0 180.0 5.83905E-02 3.52166E-03 1.49815E-03 5.01980E-03 3.98924E-03 0.025657 6 4 40.0 45.0 135.0 6.25177E-02 3.51306E-03 1.60418E-03 5.11724E-03 3.97950E-03 0.025660 6 7 40.0 90.0 90.0 7.67457E-02 3.48891E-03 1.96923E-03 5.45814E-03 3.95215E-03 0.025659 5 1 50.0 0.0 180.0 5.40827E-02 3.60766E-03 1.91899E-03 5.52664E-03 4.08666E-03 0.035482 5 4 50.0 45.0 135.0 5.71209E-02 3.59301E-03 2.02795E-03 5.62095E-03 4.07007E-03 0.035503 5 7 50.0 90.0 90.0 6.68803E-02 3.60739E-03 2.37432E-03 5.98171E-03 4.08635E-03 0.035501 4 1 60.0 0.0 180.0 5.60961E-02 3.62550E-03 3.54572E-03 7.17122E-03 4.10687E-03 0.063208 4 4 60.0 45.0 135.0 5.85217E-02 3.63353E-03 3.69901E-03 7.33254E-03 4.11597E-03 0.063207 4 7 60.0 90.0 90.0 6.62118E-02 3.61338E-03 4.18454E-03 7.79793E-03 4.09315E-03 0.063199 3 1 70.0 0.0 180.0 6.72752E-02 3.47992E-03 9.51724E-03 1.29972E-02 3.94196E-03 0.141467 3 4 70.0 45.0 135.0 6.90533E-02 3.46083E-03 9.75656E-03 1.32174E-02 3.92034E-03 0.141290 3 7 70.0 90.0 90.0 7.53086E-02 3.46558E-03 1.06512E-02 1.41168E-02 3.92571E-03 0.141434 2 1 80.0 0.0 180.0 1.00324E-01 2.59309E-03 3.68774E-02 3.94705E-02 2.93739E-03 0.367584 2 4 80.0 45.0 135.0 1.00808E-01 2.59255E-03 3.70307E-02 3.96232E-02 2.93677E-03 0.367340 2 7 80.0 90.0 90.0 1.04814E-01 2.60947E-03 3.85308E-02 4.11403E-02 2.95595E-03 0.367613 1 1 87.5 0.0 180.0 1.51241E-01 1.17598E-03 1.16925E-01 1.18101E-01 1.33213E-03 0.773106 1 4 87.5 45.0 135.0 1.49430E-01 1.21775E-03 1.15530E-01 1.16748E-01 1.37944E-03 0.773143 1 7 87.5 90.0 90.0 1.49152E-01 1.21300E-03 1.15230E-01 1.16443E-01 1.37406E-03 0.772570 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 395.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.143E-02 3.849E-01 1.347E-01 1.328E-01 1.417E-01 1.295E-02 3.893E+00 3.334E-03 3.776E-03 1 0.00 0.00 6.130E-03 2.767E+00 1.071E-02 1.161E-02 1.334E-02 7.100E-03 3.953E+00 3 0.91 1.00 5.351E-03 2.181E+00 1.149E-02 1.288E-02 1.537E-02 7.146E-03 4.123E+00 5 1.83 2.00 4.641E-03 1.674E+00 1.138E-02 1.295E-02 1.573E-02 7.184E-03 4.261E+00 7 2.74 3.00 4.003E-03 1.270E+00 1.080E-02 1.242E-02 1.527E-02 7.217E-03 4.376E+00 9 3.65 4.00 3.438E-03 9.606E-01 9.984E-03 1.158E-02 1.435E-02 7.245E-03 4.475E+00 11 4.57 5.00 2.941E-03 7.281E-01 9.072E-03 1.058E-02 1.317E-02 7.270E-03 4.562E+00 13 5.48 6.00 2.507E-03 5.546E-01 8.144E-03 9.528E-03 1.189E-02 7.291E-03 4.638E+00 15 6.39 7.00 2.131E-03 4.254E-01 7.244E-03 8.490E-03 1.058E-02 7.310E-03 4.706E+00 17 7.30 8.00 1.807E-03 3.287E-01 6.396E-03 7.499E-03 9.319E-03 7.327E-03 4.767E+00 19 8.22 9.00 1.528E-03 2.559E-01 5.614E-03 6.574E-03 8.129E-03 7.341E-03 4.821E+00 21 9.13 10.00 1.290E-03 2.007E-01 4.902E-03 5.726E-03 7.034E-03 7.354E-03 4.868E+00 Waveband 5 of 40 completed in 4.0 sec. * * * * * Output for wavelength band 6 (400.0 to 410.0 nm; nominal wavelength = 405.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 33.0 m at 405.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 400.0 nm to 410.0 nm: Ed(diffuse) = 4.924E-01 Ed(direct) = 7.557E-01 Ed(total) = 1.248E+00 Absorption Coefficients of Individual Components at 405.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0053 0.0798 0.0000 0.0288 0.1139 3 0.908 1.000 0.0053 0.0798 0.0000 0.0288 0.1139 5 1.817 2.000 0.0053 0.0798 0.0000 0.0288 0.1139 7 2.725 3.000 0.0053 0.0798 0.0000 0.0288 0.1139 9 3.634 4.000 0.0053 0.0798 0.0000 0.0288 0.1139 11 4.542 5.000 0.0053 0.0798 0.0000 0.0288 0.1139 13 5.451 6.000 0.0053 0.0798 0.0000 0.0288 0.1139 15 6.359 7.000 0.0053 0.0798 0.0000 0.0288 0.1139 17 7.268 8.000 0.0053 0.0798 0.0000 0.0288 0.1139 19 8.176 9.000 0.0053 0.0798 0.0000 0.0288 0.1139 21 9.084 10.000 0.0053 0.0798 0.0000 0.0288 0.1139 Scattering Coefficients of Individual Components at 405.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0072 0.2757 0.5116 0.0000 0.7946 3 0.908 1.000 0.0072 0.2757 0.5116 0.0000 0.7946 5 1.817 2.000 0.0072 0.2757 0.5116 0.0000 0.7946 7 2.725 3.000 0.0072 0.2757 0.5116 0.0000 0.7946 9 3.634 4.000 0.0072 0.2757 0.5116 0.0000 0.7946 11 4.542 5.000 0.0072 0.2757 0.5116 0.0000 0.7946 13 5.451 6.000 0.0072 0.2757 0.5116 0.0000 0.7946 15 6.359 7.000 0.0072 0.2757 0.5116 0.0000 0.7946 17 7.268 8.000 0.0072 0.2757 0.5116 0.0000 0.7946 19 8.176 9.000 0.0072 0.2757 0.5116 0.0000 0.7946 21 9.084 10.000 0.0072 0.2757 0.5116 0.0000 0.7946 Backscattering Coefficients of Individual Components at 405.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00359 0.00387 0.00090 0.00000 0.00836 3 0.908 1.000 0.00359 0.00387 0.00090 0.00000 0.00836 5 1.817 2.000 0.00359 0.00387 0.00090 0.00000 0.00836 7 2.725 3.000 0.00359 0.00387 0.00090 0.00000 0.00836 9 3.634 4.000 0.00359 0.00387 0.00090 0.00000 0.00836 11 4.542 5.000 0.00359 0.00387 0.00090 0.00000 0.00836 13 5.451 6.000 0.00359 0.00387 0.00090 0.00000 0.00836 15 6.359 7.000 0.00359 0.00387 0.00090 0.00000 0.00836 17 7.268 8.000 0.00359 0.00387 0.00090 0.00000 0.00836 19 8.176 9.000 0.00359 0.00387 0.00090 0.00000 0.00836 21 9.084 10.000 0.00359 0.00387 0.00090 0.00000 0.00836 Summary of Inherent Optical Properties at 405.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1139 0.7946 0.9084 0.8746 0.00836 0.01052 3 0.908 1.000 0.1139 0.7946 0.9084 0.8746 0.00836 0.01052 5 1.817 2.000 0.1139 0.7946 0.9084 0.8746 0.00836 0.01052 7 2.725 3.000 0.1139 0.7946 0.9084 0.8746 0.00836 0.01052 9 3.634 4.000 0.1139 0.7946 0.9084 0.8746 0.00836 0.01052 11 4.542 5.000 0.1139 0.7946 0.9084 0.8746 0.00836 0.01052 13 5.451 6.000 0.1139 0.7946 0.9084 0.8746 0.00836 0.01052 15 6.359 7.000 0.1139 0.7946 0.9084 0.8746 0.00836 0.01052 17 7.268 8.000 0.1139 0.7946 0.9084 0.8746 0.00836 0.01052 19 8.176 9.000 0.1139 0.7946 0.9084 0.8746 0.00836 0.01052 21 9.084 10.000 0.1139 0.7946 0.9084 0.8746 0.00836 0.01052 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5005E-01 8 20.00 8.2712E-01 7 30.00 6.6190E-01 6 40.00 4.9111E-01 5 50.00 3.4204E-01 4 60.00 2.2720E-01 3 70.00 1.4671E-01 2 80.00 9.4486E-02 1 87.50 6.7674E-02 1 92.50 5.2971E-02 2 100.00 3.8991E-02 3 110.00 2.7527E-02 4 120.00 2.0481E-02 5 130.00 1.6208E-02 6 140.00 1.3613E-02 7 150.00 1.2046E-02 8 160.00 1.1127E-02 9 170.00 1.0644E-02 10 180.00 1.0476E-02 Asymptotic AOP values are MUu(inf) = 0.3594 MUd(inf) = 0.7094 MU(inf) = 0.6331 R(inf) = 0.0390 Lu(inf)/Ed(inf) = 0.007328 (1/sr) k(inf) = 0.1799 (1/m) absorp(check) = 0.1139 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 405.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.2098E-01 1.6822E+00 1.9032E+00 6.2064E-02 1.2481E+00 0.2809 0.7419 0.6232 4.9728E-02 1 0.00 0.00 7.8307E-02 1.3429E+00 1.4212E+00 3.4410E-02 1.2217E+00 0.4394 0.9097 0.8354 2.8165E-02 3 0.91 1.00 7.4427E-02 1.2127E+00 1.2872E+00 3.1503E-02 1.0650E+00 0.4233 0.8782 0.8030 2.9579E-02 5 1.82 2.00 6.8892E-02 1.0818E+00 1.1507E+00 2.8399E-02 9.2358E-01 0.4122 0.8537 0.7779 3.0749E-02 7 2.73 3.00 6.2659E-02 9.5627E-01 1.0189E+00 2.5314E-02 7.9739E-01 0.4040 0.8339 0.7577 3.1746E-02 9 3.63 4.00 5.6263E-02 8.3916E-01 8.9542E-01 2.2368E-02 6.8585E-01 0.3976 0.8173 0.7410 3.2614E-02 11 4.54 5.00 5.0021E-02 7.3198E-01 7.8200E-01 1.9625E-02 5.8796E-01 0.3923 0.8032 0.7268 3.3379E-02 13 5.45 6.00 4.4117E-02 6.3523E-01 6.7935E-01 1.7116E-02 5.0256E-01 0.3880 0.7912 0.7146 3.4058E-02 15 6.36 7.00 3.8649E-02 5.4883E-01 5.8747E-01 1.4852E-02 4.2845E-01 0.3843 0.7807 0.7040 3.4664E-02 17 7.27 8.00 3.3664E-02 4.7232E-01 5.0598E-01 1.2829E-02 3.6441E-01 0.3811 0.7715 0.6948 3.5204E-02 19 8.18 9.00 2.9174E-02 4.0507E-01 4.3424E-01 1.1037E-02 3.0929E-01 0.3783 0.7636 0.6868 3.5685E-02 21 9.08 10.00 2.5171E-02 3.4632E-01 3.7149E-01 9.4624E-03 2.6202E-01 0.3759 0.7566 0.6799 3.6113E-02 K-functions (units of 1/meter) at 405.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.03039 0.09362 0.09014 0.07800 0.13425 0.13588 0.12726 1.000 1.010 1.005 0.06633 0.10886 0.10640 0.09702 0.14007 0.14138 0.13439 2.000 2.010 2.005 0.08714 0.11922 0.11729 0.10993 0.14484 0.14595 0.14009 3.000 3.010 3.005 0.10193 0.12729 0.12573 0.11973 0.14890 0.14986 0.14486 4.000 4.010 4.005 0.11307 0.13385 0.13254 0.12754 0.15243 0.15327 0.14895 5.000 5.010 5.005 0.12189 0.13936 0.13824 0.13400 0.15554 0.15628 0.15252 6.000 6.010 6.005 0.12918 0.14410 0.14314 0.13951 0.15831 0.15897 0.15569 7.000 7.010 7.005 0.13538 0.14827 0.14742 0.14430 0.16078 0.16137 0.15851 8.000 8.010 8.005 0.14076 0.15195 0.15120 0.14852 0.16299 0.16352 0.16104 9.000 9.010 9.005 0.14548 0.15523 0.15457 0.15226 0.16497 0.16544 0.16329 10.000 10.010 10.005 0.14964 0.15814 0.15757 0.15558 0.16674 0.16716 0.16530 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 405.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 5.21452E-01 4.70264E-03 1.09725E-02 1.56752E-02 3.76794E-03 0.021042 9 1 10.0 0.0 180.0 2.28618E-01 4.74395E-03 4.82688E-03 9.57082E-03 3.80104E-03 0.021113 9 4 10.0 45.0 135.0 2.55492E-01 4.73396E-03 5.39485E-03 1.01288E-02 3.79304E-03 0.021116 9 7 10.0 90.0 90.0 3.57149E-01 4.70794E-03 7.54257E-03 1.22505E-02 3.77220E-03 0.021119 8 1 20.0 0.0 180.0 1.36672E-01 4.80293E-03 2.91712E-03 7.72005E-03 3.84831E-03 0.021344 8 4 20.0 45.0 135.0 1.52511E-01 4.77668E-03 3.25512E-03 8.03179E-03 3.82727E-03 0.021344 8 7 20.0 90.0 90.0 2.14327E-01 4.75454E-03 4.57460E-03 9.32914E-03 3.80953E-03 0.021344 7 1 30.0 0.0 180.0 9.62983E-02 4.92046E-03 2.15015E-03 7.07061E-03 3.94247E-03 0.022328 7 4 30.0 45.0 135.0 1.05163E-01 4.91464E-03 2.34809E-03 7.26273E-03 3.93781E-03 0.022328 7 7 30.0 90.0 90.0 1.38241E-01 4.90693E-03 3.08630E-03 7.99323E-03 3.93163E-03 0.022325 6 1 40.0 0.0 180.0 7.91060E-02 4.97200E-03 2.02965E-03 7.00165E-03 3.98377E-03 0.025657 6 4 40.0 45.0 135.0 8.46974E-02 4.96316E-03 2.17331E-03 7.13647E-03 3.97669E-03 0.025660 6 7 40.0 90.0 90.0 1.03973E-01 4.93738E-03 2.66786E-03 7.60525E-03 3.95603E-03 0.025659 5 1 50.0 0.0 180.0 7.32699E-02 5.09687E-03 2.59980E-03 7.69667E-03 4.08382E-03 0.035482 5 4 50.0 45.0 135.0 7.73859E-02 5.08002E-03 2.74741E-03 7.82743E-03 4.07032E-03 0.035503 5 7 50.0 90.0 90.0 9.06078E-02 5.11029E-03 3.21667E-03 8.32696E-03 4.09457E-03 0.035501 4 1 60.0 0.0 180.0 7.59976E-02 5.12617E-03 4.80365E-03 9.92983E-03 4.10730E-03 0.063208 4 4 60.0 45.0 135.0 7.92838E-02 5.14200E-03 5.01132E-03 1.01533E-02 4.11998E-03 0.063207 4 7 60.0 90.0 90.0 8.97021E-02 5.12490E-03 5.66911E-03 1.07940E-02 4.10628E-03 0.063199 3 1 70.0 0.0 180.0 9.11428E-02 4.92256E-03 1.28937E-02 1.78163E-02 3.94416E-03 0.141467 3 4 70.0 45.0 135.0 9.35517E-02 4.90006E-03 1.32179E-02 1.81180E-02 3.92613E-03 0.141290 3 7 70.0 90.0 90.0 1.02026E-01 4.91841E-03 1.44300E-02 1.93484E-02 3.94083E-03 0.141434 2 1 80.0 0.0 180.0 1.35916E-01 3.67226E-03 4.99606E-02 5.36329E-02 2.94237E-03 0.367584 2 4 80.0 45.0 135.0 1.36572E-01 3.67532E-03 5.01683E-02 5.38436E-02 2.94482E-03 0.367340 2 7 80.0 90.0 90.0 1.41999E-01 3.70925E-03 5.22006E-02 5.59099E-02 2.97201E-03 0.367613 1 1 87.5 0.0 180.0 2.04897E-01 1.66540E-03 1.58407E-01 1.60073E-01 1.33438E-03 0.773106 1 4 87.5 45.0 135.0 2.02443E-01 1.72634E-03 1.56518E-01 1.58244E-01 1.38322E-03 0.773143 1 7 87.5 90.0 90.0 2.02067E-01 1.72423E-03 1.56111E-01 1.57835E-01 1.38153E-03 0.772570 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 405.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.568E-02 5.215E-01 1.825E-01 1.800E-01 1.920E-01 1.256E-02 3.959E+00 4.703E-03 3.768E-03 1 0.00 0.00 8.648E-03 3.962E+00 1.515E-02 1.648E-02 1.903E-02 7.078E-03 3.979E+00 3 0.91 1.00 7.586E-03 3.140E+00 1.631E-02 1.835E-02 2.201E-02 7.123E-03 4.153E+00 5 1.82 2.00 6.613E-03 2.422E+00 1.625E-02 1.858E-02 2.268E-02 7.160E-03 4.294E+00 7 2.73 3.00 5.735E-03 1.846E+00 1.553E-02 1.795E-02 2.218E-02 7.192E-03 4.414E+00 9 3.63 4.00 4.951E-03 1.402E+00 1.446E-02 1.684E-02 2.099E-02 7.219E-03 4.518E+00 11 4.54 5.00 4.258E-03 1.067E+00 1.323E-02 1.550E-02 1.942E-02 7.242E-03 4.609E+00 13 5.45 6.00 3.650E-03 8.165E-01 1.196E-02 1.406E-02 1.765E-02 7.263E-03 4.689E+00 15 6.36 7.00 3.119E-03 6.288E-01 1.071E-02 1.262E-02 1.583E-02 7.280E-03 4.761E+00 17 7.27 8.00 2.659E-03 4.878E-01 9.524E-03 1.122E-02 1.403E-02 7.296E-03 4.825E+00 19 8.18 9.00 2.261E-03 3.814E-01 8.416E-03 9.904E-03 1.232E-02 7.309E-03 4.882E+00 21 9.08 10.00 1.918E-03 3.004E-01 7.396E-03 8.684E-03 1.073E-02 7.321E-03 4.933E+00 Waveband 6 of 40 completed in 3.9 sec. * * * * * Output for wavelength band 7 (410.0 to 420.0 nm; nominal wavelength = 415.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 33.0 m at 415.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 410.0 nm to 420.0 nm: Ed(diffuse) = 5.014E-01 Ed(direct) = 8.246E-01 Ed(total) = 1.326E+00 Absorption Coefficients of Individual Components at 415.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0044 0.0851 0.0000 0.0250 0.1146 3 0.908 1.000 0.0044 0.0851 0.0000 0.0250 0.1146 5 1.817 2.000 0.0044 0.0851 0.0000 0.0250 0.1146 7 2.725 3.000 0.0044 0.0851 0.0000 0.0250 0.1146 9 3.634 4.000 0.0044 0.0851 0.0000 0.0250 0.1146 11 4.542 5.000 0.0044 0.0851 0.0000 0.0250 0.1146 13 5.450 6.000 0.0044 0.0851 0.0000 0.0250 0.1146 15 6.359 7.000 0.0044 0.0851 0.0000 0.0250 0.1146 17 7.267 8.000 0.0044 0.0851 0.0000 0.0250 0.1146 19 8.176 9.000 0.0044 0.0851 0.0000 0.0250 0.1146 21 9.084 10.000 0.0044 0.0851 0.0000 0.0250 0.1146 Scattering Coefficients of Individual Components at 415.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0065 0.2757 0.5116 0.0000 0.7938 3 0.908 1.000 0.0065 0.2757 0.5116 0.0000 0.7938 5 1.817 2.000 0.0065 0.2757 0.5116 0.0000 0.7938 7 2.725 3.000 0.0065 0.2757 0.5116 0.0000 0.7938 9 3.634 4.000 0.0065 0.2757 0.5116 0.0000 0.7938 11 4.542 5.000 0.0065 0.2757 0.5116 0.0000 0.7938 13 5.450 6.000 0.0065 0.2757 0.5116 0.0000 0.7938 15 6.359 7.000 0.0065 0.2757 0.5116 0.0000 0.7938 17 7.267 8.000 0.0065 0.2757 0.5116 0.0000 0.7938 19 8.176 9.000 0.0065 0.2757 0.5116 0.0000 0.7938 21 9.084 10.000 0.0065 0.2757 0.5116 0.0000 0.7938 Backscattering Coefficients of Individual Components at 415.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00323 0.00387 0.00090 0.00000 0.00800 3 0.908 1.000 0.00323 0.00387 0.00090 0.00000 0.00800 5 1.817 2.000 0.00323 0.00387 0.00090 0.00000 0.00800 7 2.725 3.000 0.00323 0.00387 0.00090 0.00000 0.00800 9 3.634 4.000 0.00323 0.00387 0.00090 0.00000 0.00800 11 4.542 5.000 0.00323 0.00387 0.00090 0.00000 0.00800 13 5.450 6.000 0.00323 0.00387 0.00090 0.00000 0.00800 15 6.359 7.000 0.00323 0.00387 0.00090 0.00000 0.00800 17 7.267 8.000 0.00323 0.00387 0.00090 0.00000 0.00800 19 8.176 9.000 0.00323 0.00387 0.00090 0.00000 0.00800 21 9.084 10.000 0.00323 0.00387 0.00090 0.00000 0.00800 Summary of Inherent Optical Properties at 415.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1146 0.7938 0.9084 0.8739 0.00800 0.01007 3 0.908 1.000 0.1146 0.7938 0.9084 0.8739 0.00800 0.01007 5 1.817 2.000 0.1146 0.7938 0.9084 0.8739 0.00800 0.01007 7 2.725 3.000 0.1146 0.7938 0.9084 0.8739 0.00800 0.01007 9 3.634 4.000 0.1146 0.7938 0.9084 0.8739 0.00800 0.01007 11 4.542 5.000 0.1146 0.7938 0.9084 0.8739 0.00800 0.01007 13 5.450 6.000 0.1146 0.7938 0.9084 0.8739 0.00800 0.01007 15 6.359 7.000 0.1146 0.7938 0.9084 0.8739 0.00800 0.01007 17 7.267 8.000 0.1146 0.7938 0.9084 0.8739 0.00800 0.01007 19 8.176 9.000 0.1146 0.7938 0.9084 0.8739 0.00800 0.01007 21 9.084 10.000 0.1146 0.7938 0.9084 0.8739 0.00800 0.01007 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4987E-01 8 20.00 8.2653E-01 7 30.00 6.6086E-01 6 40.00 4.8972E-01 5 50.00 3.4050E-01 4 60.00 2.2568E-01 3 70.00 1.4532E-01 2 80.00 9.3271E-02 1 87.50 6.6593E-02 1 92.50 5.1983E-02 2 100.00 3.8111E-02 3 110.00 2.6758E-02 4 120.00 1.9795E-02 5 130.00 1.5581E-02 6 140.00 1.3028E-02 7 150.00 1.1488E-02 8 160.00 1.0586E-02 9 170.00 1.0112E-02 10 180.00 9.9481E-03 Asymptotic AOP values are MUu(inf) = 0.3568 MUd(inf) = 0.7103 MU(inf) = 0.6359 R(inf) = 0.0377 Lu(inf)/Ed(inf) = 0.006977 (1/sr) k(inf) = 0.1802 (1/m) absorp(check) = 0.1146 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 415.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.2610E-01 1.7693E+00 1.9953E+00 6.4288E-02 1.3261E+00 0.2843 0.7495 0.6324 4.8480E-02 1 0.00 0.00 7.9841E-02 1.4227E+00 1.5026E+00 3.4992E-02 1.2982E+00 0.4383 0.9125 0.8407 2.6954E-02 3 0.91 1.00 7.6053E-02 1.2847E+00 1.3607E+00 3.2087E-02 1.1317E+00 0.4219 0.8810 0.8081 2.8352E-02 5 1.82 2.00 7.0527E-02 1.1461E+00 1.2166E+00 2.8967E-02 9.8150E-01 0.4107 0.8564 0.7830 2.9513E-02 7 2.73 3.00 6.4251E-02 1.0132E+00 1.0774E+00 2.5855E-02 8.4747E-01 0.4024 0.8364 0.7626 3.0508E-02 9 3.63 4.00 5.7777E-02 8.8929E-01 9.4706E-01 2.2873E-02 7.2898E-01 0.3959 0.8197 0.7456 3.1377E-02 11 4.54 5.00 5.1435E-02 7.7586E-01 8.2730E-01 2.0090E-02 6.2497E-01 0.3906 0.8055 0.7312 3.2145E-02 13 5.45 6.00 4.5417E-02 6.7344E-01 7.1886E-01 1.7538E-02 5.3422E-01 0.3861 0.7933 0.7188 3.2829E-02 15 6.36 7.00 3.9829E-02 5.8194E-01 6.2177E-01 1.5230E-02 4.5545E-01 0.3824 0.7826 0.7080 3.3439E-02 17 7.27 8.00 3.4722E-02 5.0089E-01 5.3561E-01 1.3165E-02 3.8737E-01 0.3791 0.7734 0.6987 3.3985E-02 19 8.18 9.00 3.0115E-02 4.2961E-01 4.5973E-01 1.1333E-02 3.2877E-01 0.3763 0.7653 0.6905 3.4472E-02 21 9.08 10.00 2.6000E-02 3.6733E-01 3.9333E-01 9.7213E-03 2.7851E-01 0.3739 0.7582 0.6834 3.4905E-02 K-functions (units of 1/meter) at 415.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.02783 0.09384 0.09033 0.07625 0.13423 0.13583 0.12645 1.000 1.010 1.005 0.06436 0.10887 0.10638 0.09550 0.14001 0.14131 0.13362 2.000 2.010 2.005 0.08542 0.11910 0.11715 0.10855 0.14476 0.14586 0.13938 3.000 3.010 3.005 0.10038 0.12711 0.12551 0.11848 0.14882 0.14978 0.14421 4.000 4.010 4.005 0.11168 0.13364 0.13230 0.12641 0.15236 0.15320 0.14836 5.000 5.010 5.005 0.12065 0.13916 0.13801 0.13300 0.15549 0.15624 0.15201 6.000 6.010 6.005 0.12809 0.14392 0.14292 0.13862 0.15828 0.15894 0.15525 7.000 7.010 7.005 0.13442 0.14811 0.14723 0.14353 0.16077 0.16137 0.15813 8.000 8.010 8.005 0.13993 0.15183 0.15106 0.14786 0.16301 0.16354 0.16072 9.000 9.010 9.005 0.14477 0.15514 0.15446 0.15170 0.16501 0.16549 0.16304 10.000 10.010 10.005 0.14905 0.15809 0.15749 0.15511 0.16680 0.16723 0.16510 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 415.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 5.31020E-01 4.75196E-03 1.11739E-02 1.59258E-02 3.58350E-03 0.021042 9 1 10.0 0.0 180.0 2.32813E-01 4.79264E-03 4.91541E-03 9.70804E-03 3.61417E-03 0.021113 9 4 10.0 45.0 135.0 2.60184E-01 4.78306E-03 5.49392E-03 1.02770E-02 3.60695E-03 0.021115 9 7 10.0 90.0 90.0 3.63680E-01 4.75831E-03 7.68057E-03 1.24389E-02 3.58829E-03 0.021119 8 1 20.0 0.0 180.0 1.39180E-01 4.85275E-03 2.97065E-03 7.82340E-03 3.65950E-03 0.021344 8 4 20.0 45.0 135.0 1.55309E-01 4.82714E-03 3.31485E-03 8.14199E-03 3.64020E-03 0.021344 8 7 20.0 90.0 90.0 2.18260E-01 4.80731E-03 4.65855E-03 9.46585E-03 3.62523E-03 0.021344 7 1 30.0 0.0 180.0 9.80654E-02 4.97228E-03 2.18960E-03 7.16189E-03 3.74965E-03 0.022328 7 4 30.0 45.0 135.0 1.07093E-01 4.96772E-03 2.39118E-03 7.35890E-03 3.74620E-03 0.022328 7 7 30.0 90.0 90.0 1.40778E-01 4.96342E-03 3.14293E-03 8.10636E-03 3.74296E-03 0.022325 6 1 40.0 0.0 180.0 8.05576E-02 5.02769E-03 2.06690E-03 7.09458E-03 3.79143E-03 0.025657 6 4 40.0 45.0 135.0 8.62516E-02 5.02076E-03 2.21319E-03 7.23394E-03 3.78620E-03 0.025660 6 7 40.0 90.0 90.0 1.05881E-01 4.99999E-03 2.71682E-03 7.71681E-03 3.77054E-03 0.025659 5 1 50.0 0.0 180.0 7.46144E-02 5.15658E-03 2.64750E-03 7.80408E-03 3.88862E-03 0.035482 5 4 50.0 45.0 135.0 7.88060E-02 5.14196E-03 2.79783E-03 7.93978E-03 3.87760E-03 0.035503 5 7 50.0 90.0 90.0 9.22705E-02 5.17922E-03 3.27570E-03 8.45492E-03 3.90570E-03 0.035501 4 1 60.0 0.0 180.0 7.73921E-02 5.18933E-03 4.89180E-03 1.00811E-02 3.91332E-03 0.063208 4 4 60.0 45.0 135.0 8.07387E-02 5.20826E-03 5.10328E-03 1.03115E-02 3.92760E-03 0.063207 4 7 60.0 90.0 90.0 9.13482E-02 5.19885E-03 5.77314E-03 1.09720E-02 3.92050E-03 0.063199 3 1 70.0 0.0 180.0 9.28153E-02 4.98527E-03 1.31303E-02 1.81156E-02 3.75944E-03 0.141467 3 4 70.0 45.0 135.0 9.52684E-02 4.96552E-03 1.34605E-02 1.84260E-02 3.74455E-03 0.141290 3 7 70.0 90.0 90.0 1.03898E-01 4.99246E-03 1.46948E-02 1.96872E-02 3.76486E-03 0.141434 2 1 80.0 0.0 180.0 1.38410E-01 3.72292E-03 5.08774E-02 5.46003E-02 2.80749E-03 0.367584 2 4 80.0 45.0 135.0 1.39078E-01 3.72878E-03 5.10888E-02 5.48176E-02 2.81191E-03 0.367340 2 7 80.0 90.0 90.0 1.44604E-01 3.77080E-03 5.31585E-02 5.69293E-02 2.84360E-03 0.367613 1 1 87.5 0.0 180.0 2.08657E-01 1.68837E-03 1.61314E-01 1.63002E-01 1.27322E-03 0.773106 1 4 87.5 45.0 135.0 2.06158E-01 1.75145E-03 1.59390E-01 1.61141E-01 1.32079E-03 0.773143 1 7 87.5 90.0 90.0 2.05775E-01 1.75284E-03 1.58976E-01 1.60729E-01 1.32184E-03 0.772570 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 415.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.593E-02 5.310E-01 1.858E-01 1.833E-01 1.955E-01 1.201E-02 4.037E+00 4.752E-03 3.583E-03 1 0.00 0.00 8.738E-03 4.260E+00 1.543E-02 1.687E-02 1.961E-02 6.731E-03 4.004E+00 3 0.91 1.00 7.672E-03 3.379E+00 1.667E-02 1.886E-02 2.278E-02 6.779E-03 4.182E+00 5 1.82 2.00 6.693E-03 2.607E+00 1.665E-02 1.914E-02 2.353E-02 6.819E-03 4.328E+00 7 2.73 3.00 5.808E-03 1.987E+00 1.594E-02 1.852E-02 2.306E-02 6.853E-03 4.452E+00 9 3.63 4.00 5.017E-03 1.509E+00 1.486E-02 1.742E-02 2.187E-02 6.882E-03 4.559E+00 11 4.54 5.00 4.317E-03 1.148E+00 1.362E-02 1.606E-02 2.026E-02 6.908E-03 4.653E+00 13 5.45 6.00 3.703E-03 8.775E-01 1.233E-02 1.459E-02 1.844E-02 6.931E-03 4.737E+00 15 6.36 7.00 3.165E-03 6.753E-01 1.106E-02 1.311E-02 1.656E-02 6.950E-03 4.811E+00 17 7.27 8.00 2.699E-03 5.235E-01 9.848E-03 1.167E-02 1.469E-02 6.967E-03 4.878E+00 19 8.18 9.00 2.296E-03 4.090E-01 8.711E-03 1.031E-02 1.291E-02 6.982E-03 4.937E+00 21 9.08 10.00 1.948E-03 3.219E-01 7.665E-03 9.049E-03 1.125E-02 6.995E-03 4.990E+00 Waveband 7 of 40 completed in 4.0 sec. * * * * * Output for wavelength band 8 (420.0 to 430.0 nm; nominal wavelength = 425.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 33.0 m at 425.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 420.0 nm to 430.0 nm: Ed(diffuse) = 4.622E-01 Ed(direct) = 8.095E-01 Ed(total) = 1.272E+00 Absorption Coefficients of Individual Components at 425.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0048 0.0863 0.0000 0.0218 0.1128 3 0.906 1.000 0.0048 0.0863 0.0000 0.0218 0.1128 5 1.812 2.000 0.0048 0.0863 0.0000 0.0218 0.1128 7 2.718 3.000 0.0048 0.0863 0.0000 0.0218 0.1128 9 3.624 4.000 0.0048 0.0863 0.0000 0.0218 0.1128 11 4.530 5.000 0.0048 0.0863 0.0000 0.0218 0.1128 13 5.436 6.000 0.0048 0.0863 0.0000 0.0218 0.1128 15 6.342 7.000 0.0048 0.0863 0.0000 0.0218 0.1128 17 7.248 8.000 0.0048 0.0863 0.0000 0.0218 0.1128 19 8.154 9.000 0.0048 0.0863 0.0000 0.0218 0.1128 21 9.060 10.000 0.0048 0.0863 0.0000 0.0218 0.1128 Scattering Coefficients of Individual Components at 425.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0058 0.2757 0.5116 0.0000 0.7932 3 0.906 1.000 0.0058 0.2757 0.5116 0.0000 0.7932 5 1.812 2.000 0.0058 0.2757 0.5116 0.0000 0.7932 7 2.718 3.000 0.0058 0.2757 0.5116 0.0000 0.7932 9 3.624 4.000 0.0058 0.2757 0.5116 0.0000 0.7932 11 4.530 5.000 0.0058 0.2757 0.5116 0.0000 0.7932 13 5.436 6.000 0.0058 0.2757 0.5116 0.0000 0.7932 15 6.342 7.000 0.0058 0.2757 0.5116 0.0000 0.7932 17 7.248 8.000 0.0058 0.2757 0.5116 0.0000 0.7932 19 8.154 9.000 0.0058 0.2757 0.5116 0.0000 0.7932 21 9.060 10.000 0.0058 0.2757 0.5116 0.0000 0.7932 Backscattering Coefficients of Individual Components at 425.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00291 0.00387 0.00090 0.00000 0.00768 3 0.906 1.000 0.00291 0.00387 0.00090 0.00000 0.00768 5 1.812 2.000 0.00291 0.00387 0.00090 0.00000 0.00768 7 2.718 3.000 0.00291 0.00387 0.00090 0.00000 0.00768 9 3.624 4.000 0.00291 0.00387 0.00090 0.00000 0.00768 11 4.530 5.000 0.00291 0.00387 0.00090 0.00000 0.00768 13 5.436 6.000 0.00291 0.00387 0.00090 0.00000 0.00768 15 6.342 7.000 0.00291 0.00387 0.00090 0.00000 0.00768 17 7.248 8.000 0.00291 0.00387 0.00090 0.00000 0.00768 19 8.154 9.000 0.00291 0.00387 0.00090 0.00000 0.00768 21 9.060 10.000 0.00291 0.00387 0.00090 0.00000 0.00768 Summary of Inherent Optical Properties at 425.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1128 0.7932 0.9060 0.8755 0.00768 0.00968 3 0.906 1.000 0.1128 0.7932 0.9060 0.8755 0.00768 0.00968 5 1.812 2.000 0.1128 0.7932 0.9060 0.8755 0.00768 0.00968 7 2.718 3.000 0.1128 0.7932 0.9060 0.8755 0.00768 0.00968 9 3.624 4.000 0.1128 0.7932 0.9060 0.8755 0.00768 0.00968 11 4.530 5.000 0.1128 0.7932 0.9060 0.8755 0.00768 0.00968 13 5.436 6.000 0.1128 0.7932 0.9060 0.8755 0.00768 0.00968 15 6.342 7.000 0.1128 0.7932 0.9060 0.8755 0.00768 0.00968 17 7.248 8.000 0.1128 0.7932 0.9060 0.8755 0.00768 0.00968 19 8.154 9.000 0.1128 0.7932 0.9060 0.8755 0.00768 0.00968 21 9.060 10.000 0.1128 0.7932 0.9060 0.8755 0.00768 0.00968 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5026E-01 8 20.00 8.2778E-01 7 30.00 6.6296E-01 6 40.00 4.9231E-01 5 50.00 3.4308E-01 4 60.00 2.2787E-01 3 70.00 1.4697E-01 2 80.00 9.4401E-02 1 87.50 6.7380E-02 1 92.50 5.2550E-02 2 100.00 3.8455E-02 3 110.00 2.6905E-02 4 120.00 1.9814E-02 5 130.00 1.5519E-02 6 140.00 1.2915E-02 7 150.00 1.1344E-02 8 160.00 1.0424E-02 9 170.00 9.9407E-03 10 180.00 9.7737E-03 Asymptotic AOP values are MUu(inf) = 0.3548 MUd(inf) = 0.7095 MU(inf) = 0.6353 R(inf) = 0.0374 Lu(inf)/Ed(inf) = 0.006826 (1/sr) k(inf) = 0.1776 (1/m) absorp(check) = 0.1128 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 425.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.1000E-01 1.6811E+00 1.8911E+00 6.0574E-02 1.2717E+00 0.2884 0.7564 0.6404 4.7633E-02 1 0.00 0.00 7.5396E-02 1.3621E+00 1.4375E+00 3.2984E-02 1.2455E+00 0.4375 0.9144 0.8435 2.6483E-02 3 0.91 1.00 7.2108E-02 1.2330E+00 1.3051E+00 3.0360E-02 1.0886E+00 0.4210 0.8829 0.8108 2.7889E-02 5 1.81 2.00 6.7146E-02 1.1031E+00 1.1702E+00 2.7514E-02 9.4665E-01 0.4098 0.8582 0.7854 2.9064E-02 7 2.72 3.00 6.1424E-02 9.7806E-01 1.0395E+00 2.4652E-02 8.1963E-01 0.4013 0.8380 0.7648 3.0076E-02 9 3.62 4.00 5.5460E-02 8.6103E-01 9.1649E-01 2.1891E-02 7.0699E-01 0.3947 0.8211 0.7475 3.0964E-02 11 4.53 5.00 4.9569E-02 7.5349E-01 8.0306E-01 1.9298E-02 6.0781E-01 0.3893 0.8067 0.7328 3.1750E-02 13 5.44 6.00 4.3940E-02 6.5602E-01 6.9996E-01 1.6908E-02 5.2101E-01 0.3848 0.7942 0.7202 3.2453E-02 15 6.34 7.00 3.8679E-02 5.6860E-01 6.0728E-01 1.4735E-02 4.4542E-01 0.3810 0.7834 0.7092 3.3081E-02 17 7.25 8.00 3.3843E-02 4.9088E-01 5.2472E-01 1.2781E-02 3.7990E-01 0.3777 0.7739 0.6996 3.3644E-02 19 8.15 9.00 2.9457E-02 4.2228E-01 4.5174E-01 1.1040E-02 3.2333E-01 0.3748 0.7657 0.6913 3.4146E-02 21 9.06 10.00 2.5520E-02 3.6213E-01 3.8765E-01 9.5014E-03 2.7465E-01 0.3723 0.7584 0.6840 3.4594E-02 K-functions (units of 1/meter) at 425.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.02401 0.09157 0.08803 0.07257 0.13169 0.13330 0.12337 1.000 1.010 1.005 0.06025 0.10619 0.10365 0.09168 0.13735 0.13866 0.13047 2.000 2.010 2.005 0.08127 0.11623 0.11422 0.10471 0.14204 0.14315 0.13621 3.000 3.010 3.005 0.09627 0.12413 0.12248 0.11468 0.14606 0.14703 0.14104 4.000 4.010 4.005 0.10765 0.13062 0.12923 0.12267 0.14958 0.15044 0.14521 5.000 5.010 5.005 0.11673 0.13612 0.13492 0.12933 0.15270 0.15346 0.14889 6.000 6.010 6.005 0.12426 0.14089 0.13984 0.13504 0.15548 0.15617 0.15216 7.000 7.010 7.005 0.13071 0.14509 0.14418 0.14003 0.15798 0.15860 0.15509 8.000 8.010 8.005 0.13632 0.14883 0.14802 0.14444 0.16023 0.16078 0.15771 9.000 9.010 9.005 0.14126 0.15217 0.15146 0.14836 0.16224 0.16273 0.16006 10.000 10.010 10.005 0.14564 0.15515 0.15452 0.15185 0.16404 0.16448 0.16216 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 425.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 4.89466E-01 4.44886E-03 1.02995E-02 1.47483E-02 3.49839E-03 0.021042 9 1 10.0 0.0 180.0 2.14595E-01 4.48558E-03 4.53072E-03 9.01630E-03 3.52726E-03 0.021113 9 4 10.0 45.0 135.0 2.39827E-01 4.47734E-03 5.06406E-03 9.54140E-03 3.52078E-03 0.021115 9 7 10.0 90.0 90.0 3.35201E-01 4.45614E-03 7.07918E-03 1.15353E-02 3.50411E-03 0.021119 8 1 20.0 0.0 180.0 1.28289E-01 4.54263E-03 2.73818E-03 7.28082E-03 3.57213E-03 0.021344 8 4 20.0 45.0 135.0 1.43156E-01 4.51989E-03 3.05545E-03 7.57534E-03 3.55425E-03 0.021344 8 7 20.0 90.0 90.0 2.01180E-01 4.50452E-03 4.29400E-03 8.79851E-03 3.54216E-03 0.021344 7 1 30.0 0.0 180.0 9.03914E-02 4.65567E-03 2.01826E-03 6.67393E-03 3.66102E-03 0.022328 7 4 30.0 45.0 135.0 9.87122E-02 4.65309E-03 2.20406E-03 6.85715E-03 3.65899E-03 0.022328 7 7 30.0 90.0 90.0 1.29762E-01 4.65345E-03 2.89699E-03 7.55044E-03 3.65927E-03 0.022325 6 1 40.0 0.0 180.0 7.42536E-02 4.71191E-03 1.90515E-03 6.61706E-03 3.70524E-03 0.025657 6 4 40.0 45.0 135.0 7.95021E-02 4.70793E-03 2.04000E-03 6.74792E-03 3.70211E-03 0.025660 6 7 40.0 90.0 90.0 9.75955E-02 4.69493E-03 2.50422E-03 7.19915E-03 3.69189E-03 0.025659 5 1 50.0 0.0 180.0 6.87756E-02 4.83587E-03 2.44033E-03 7.27620E-03 3.80272E-03 0.035482 5 4 50.0 45.0 135.0 7.26391E-02 4.82513E-03 2.57889E-03 7.40402E-03 3.79427E-03 0.035503 5 7 50.0 90.0 90.0 8.50500E-02 4.86799E-03 3.01936E-03 7.88735E-03 3.82797E-03 0.035501 4 1 60.0 0.0 180.0 7.13359E-02 4.87033E-03 4.50900E-03 9.37933E-03 3.82981E-03 0.063208 4 4 60.0 45.0 135.0 7.44206E-02 4.89160E-03 4.70393E-03 9.59553E-03 3.84654E-03 0.063207 4 7 60.0 90.0 90.0 8.41998E-02 4.89196E-03 5.32137E-03 1.02133E-02 3.84683E-03 0.063199 3 1 70.0 0.0 180.0 8.55521E-02 4.68100E-03 1.21028E-02 1.67838E-02 3.68093E-03 0.141467 3 4 70.0 45.0 135.0 8.78133E-02 4.66603E-03 1.24072E-02 1.70732E-02 3.66916E-03 0.141290 3 7 70.0 90.0 90.0 9.57680E-02 4.70086E-03 1.35449E-02 1.82457E-02 3.69655E-03 0.141434 2 1 80.0 0.0 180.0 1.27579E-01 3.49977E-03 4.68960E-02 5.03958E-02 2.75207E-03 0.367584 2 4 80.0 45.0 135.0 1.28195E-01 3.50841E-03 4.70910E-02 5.05994E-02 2.75886E-03 0.367340 2 7 80.0 90.0 90.0 1.33289E-01 3.55631E-03 4.89986E-02 5.25549E-02 2.79653E-03 0.367613 1 1 87.5 0.0 180.0 1.92329E-01 1.58717E-03 1.48691E-01 1.50278E-01 1.24808E-03 0.773106 1 4 87.5 45.0 135.0 1.90026E-01 1.64794E-03 1.46917E-01 1.48565E-01 1.29587E-03 0.773143 1 7 87.5 90.0 90.0 1.89672E-01 1.65314E-03 1.46535E-01 1.48188E-01 1.29996E-03 0.772570 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 425.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.475E-02 4.895E-01 1.713E-01 1.689E-01 1.802E-01 1.160E-02 4.107E+00 4.449E-03 3.498E-03 1 0.00 0.00 8.181E-03 4.128E+00 1.453E-02 1.596E-02 1.864E-02 6.568E-03 4.032E+00 3 0.91 1.00 7.205E-03 3.285E+00 1.575E-02 1.790E-02 2.175E-02 6.618E-03 4.214E+00 5 1.81 2.00 6.305E-03 2.541E+00 1.580E-02 1.824E-02 2.257E-02 6.661E-03 4.364E+00 7 2.72 3.00 5.489E-03 1.941E+00 1.519E-02 1.774E-02 2.222E-02 6.697E-03 4.491E+00 9 3.62 4.00 4.757E-03 1.477E+00 1.423E-02 1.676E-02 2.117E-02 6.728E-03 4.602E+00 11 4.53 5.00 4.106E-03 1.126E+00 1.310E-02 1.552E-02 1.970E-02 6.756E-03 4.700E+00 13 5.44 6.00 3.532E-03 8.624E-01 1.191E-02 1.416E-02 1.801E-02 6.780E-03 4.787E+00 15 6.34 7.00 3.029E-03 6.649E-01 1.073E-02 1.278E-02 1.624E-02 6.801E-03 4.864E+00 17 7.25 8.00 2.591E-03 5.164E-01 9.588E-03 1.142E-02 1.446E-02 6.819E-03 4.934E+00 19 8.15 9.00 2.210E-03 4.042E-01 8.515E-03 1.013E-02 1.276E-02 6.835E-03 4.995E+00 21 9.06 10.00 1.881E-03 3.187E-01 7.521E-03 8.923E-03 1.116E-02 6.849E-03 5.051E+00 Waveband 8 of 40 completed in 4.2 sec. * * * * * Output for wavelength band 9 (430.0 to 440.0 nm; nominal wavelength = 435.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 33.0 m at 435.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 430.0 nm to 440.0 nm: Ed(diffuse) = 4.569E-01 Ed(direct) = 8.525E-01 Ed(total) = 1.309E+00 Absorption Coefficients of Individual Components at 435.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0053 0.0886 0.0000 0.0189 0.1128 3 0.905 1.000 0.0053 0.0886 0.0000 0.0189 0.1128 5 1.811 2.000 0.0053 0.0886 0.0000 0.0189 0.1128 7 2.716 3.000 0.0053 0.0886 0.0000 0.0189 0.1128 9 3.622 4.000 0.0053 0.0886 0.0000 0.0189 0.1128 11 4.527 5.000 0.0053 0.0886 0.0000 0.0189 0.1128 13 5.433 6.000 0.0053 0.0886 0.0000 0.0189 0.1128 15 6.338 7.000 0.0053 0.0886 0.0000 0.0189 0.1128 17 7.243 8.000 0.0053 0.0886 0.0000 0.0189 0.1128 19 8.149 9.000 0.0053 0.0886 0.0000 0.0189 0.1128 21 9.054 10.000 0.0053 0.0886 0.0000 0.0189 0.1128 Scattering Coefficients of Individual Components at 435.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0053 0.2757 0.5116 0.0000 0.7926 3 0.905 1.000 0.0053 0.2757 0.5116 0.0000 0.7926 5 1.811 2.000 0.0053 0.2757 0.5116 0.0000 0.7926 7 2.716 3.000 0.0053 0.2757 0.5116 0.0000 0.7926 9 3.622 4.000 0.0053 0.2757 0.5116 0.0000 0.7926 11 4.527 5.000 0.0053 0.2757 0.5116 0.0000 0.7926 13 5.433 6.000 0.0053 0.2757 0.5116 0.0000 0.7926 15 6.338 7.000 0.0053 0.2757 0.5116 0.0000 0.7926 17 7.243 8.000 0.0053 0.2757 0.5116 0.0000 0.7926 19 8.149 9.000 0.0053 0.2757 0.5116 0.0000 0.7926 21 9.054 10.000 0.0053 0.2757 0.5116 0.0000 0.7926 Backscattering Coefficients of Individual Components at 435.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00264 0.00387 0.00090 0.00000 0.00740 3 0.905 1.000 0.00264 0.00387 0.00090 0.00000 0.00740 5 1.811 2.000 0.00264 0.00387 0.00090 0.00000 0.00740 7 2.716 3.000 0.00264 0.00387 0.00090 0.00000 0.00740 9 3.622 4.000 0.00264 0.00387 0.00090 0.00000 0.00740 11 4.527 5.000 0.00264 0.00387 0.00090 0.00000 0.00740 13 5.433 6.000 0.00264 0.00387 0.00090 0.00000 0.00740 15 6.338 7.000 0.00264 0.00387 0.00090 0.00000 0.00740 17 7.243 8.000 0.00264 0.00387 0.00090 0.00000 0.00740 19 8.149 9.000 0.00264 0.00387 0.00090 0.00000 0.00740 21 9.054 10.000 0.00264 0.00387 0.00090 0.00000 0.00740 Summary of Inherent Optical Properties at 435.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1128 0.7926 0.9054 0.8754 0.00740 0.00934 3 0.905 1.000 0.1128 0.7926 0.9054 0.8754 0.00740 0.00934 5 1.811 2.000 0.1128 0.7926 0.9054 0.8754 0.00740 0.00934 7 2.716 3.000 0.1128 0.7926 0.9054 0.8754 0.00740 0.00934 9 3.622 4.000 0.1128 0.7926 0.9054 0.8754 0.00740 0.00934 11 4.527 5.000 0.1128 0.7926 0.9054 0.8754 0.00740 0.00934 13 5.433 6.000 0.1128 0.7926 0.9054 0.8754 0.00740 0.00934 15 6.338 7.000 0.1128 0.7926 0.9054 0.8754 0.00740 0.00934 17 7.243 8.000 0.1128 0.7926 0.9054 0.8754 0.00740 0.00934 19 8.149 9.000 0.1128 0.7926 0.9054 0.8754 0.00740 0.00934 21 9.054 10.000 0.1128 0.7926 0.9054 0.8754 0.00740 0.00934 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5026E-01 8 20.00 8.2775E-01 7 30.00 6.6289E-01 6 40.00 4.9216E-01 5 50.00 3.4284E-01 4 60.00 2.2755E-01 3 70.00 1.4659E-01 2 80.00 9.3991E-02 1 87.50 6.6960E-02 1 92.50 5.2128E-02 2 100.00 3.8039E-02 3 110.00 2.6503E-02 4 120.00 1.9427E-02 5 130.00 1.5146E-02 6 140.00 1.2554E-02 7 150.00 1.0991E-02 8 160.00 1.0075E-02 9 170.00 9.5951E-03 10 180.00 9.4292E-03 Asymptotic AOP values are MUu(inf) = 0.3527 MUd(inf) = 0.7098 MU(inf) = 0.6368 R(inf) = 0.0366 Lu(inf)/Ed(inf) = 0.006588 (1/sr) k(inf) = 0.1771 (1/m) absorp(check) = 0.1128 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 435.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.0885E-01 1.7152E+00 1.9240E+00 6.1035E-02 1.3094E+00 0.2922 0.7634 0.6488 4.6614E-02 1 0.00 0.00 7.5243E-02 1.3993E+00 1.4746E+00 3.2838E-02 1.2826E+00 0.4364 0.9166 0.8476 2.5602E-02 3 0.91 1.00 7.2137E-02 1.2674E+00 1.3395E+00 3.0286E-02 1.1219E+00 0.4198 0.8852 0.8149 2.6996E-02 5 1.81 2.00 6.7324E-02 1.1346E+00 1.2020E+00 2.7498E-02 9.7625E-01 0.4085 0.8604 0.7893 2.8167E-02 7 2.72 3.00 6.1717E-02 1.0069E+00 1.0686E+00 2.4683E-02 8.4587E-01 0.3999 0.8401 0.7685 2.9180E-02 9 3.62 4.00 5.5835E-02 8.8717E-01 9.4300E-01 2.1956E-02 7.3016E-01 0.3932 0.8230 0.7510 3.0070E-02 11 4.53 5.00 4.9998E-02 7.7705E-01 8.2704E-01 1.9387E-02 6.2819E-01 0.3878 0.8084 0.7361 3.0862E-02 13 5.43 6.00 4.4396E-02 6.7711E-01 7.2151E-01 1.7012E-02 5.3886E-01 0.3832 0.7958 0.7233 3.1570E-02 15 6.34 7.00 3.9144E-02 5.8739E-01 6.2653E-01 1.4847E-02 4.6100E-01 0.3793 0.7848 0.7121 3.2205E-02 17 7.24 8.00 3.4302E-02 5.0752E-01 5.4182E-01 1.2895E-02 3.9345E-01 0.3759 0.7753 0.7024 3.2774E-02 19 8.15 9.00 2.9898E-02 4.3695E-01 4.6685E-01 1.1153E-02 3.3509E-01 0.3730 0.7669 0.6939 3.3283E-02 21 9.05 10.00 2.5935E-02 3.7500E-01 4.0093E-01 9.6093E-03 2.8483E-01 0.3705 0.7595 0.6864 3.3737E-02 K-functions (units of 1/meter) at 435.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.02136 0.09115 0.08759 0.07050 0.13104 0.13263 0.12213 1.000 1.010 1.005 0.05793 0.10554 0.10297 0.08975 0.13665 0.13795 0.12923 2.000 2.010 2.005 0.07910 0.11544 0.11341 0.10286 0.14131 0.14243 0.13499 3.000 3.010 3.005 0.09422 0.12328 0.12160 0.11292 0.14532 0.14630 0.13986 4.000 4.010 4.005 0.10572 0.12974 0.12832 0.12100 0.14885 0.14971 0.14408 5.000 5.010 5.005 0.11493 0.13524 0.13401 0.12776 0.15198 0.15275 0.14780 6.000 6.010 6.005 0.12259 0.14003 0.13895 0.13357 0.15478 0.15547 0.15112 7.000 7.010 7.005 0.12915 0.14425 0.14331 0.13865 0.15730 0.15792 0.15409 8.000 8.010 8.005 0.13488 0.14802 0.14719 0.14315 0.15956 0.16011 0.15676 9.000 9.010 9.005 0.13992 0.15138 0.15065 0.14715 0.16159 0.16208 0.15915 10.000 10.010 10.005 0.14439 0.15439 0.15374 0.15072 0.16340 0.16385 0.16129 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 435.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 4.83903E-01 4.40010E-03 1.01824E-02 1.45825E-02 3.36043E-03 0.021042 9 1 10.0 0.0 180.0 2.12156E-01 4.43545E-03 4.47919E-03 8.91464E-03 3.38743E-03 0.021113 9 4 10.0 45.0 135.0 2.37105E-01 4.42782E-03 5.00657E-03 9.43440E-03 3.38160E-03 0.021115 9 7 10.0 90.0 90.0 3.31370E-01 4.40839E-03 6.99833E-03 1.14067E-02 3.36676E-03 0.021119 8 1 20.0 0.0 180.0 1.26831E-01 4.49255E-03 2.70706E-03 7.19961E-03 3.43103E-03 0.021344 8 4 20.0 45.0 135.0 1.41529E-01 4.47098E-03 3.02072E-03 7.49170E-03 3.41456E-03 0.021344 8 7 20.0 90.0 90.0 1.98894E-01 4.45828E-03 4.24519E-03 8.70347E-03 3.40486E-03 0.021344 7 1 30.0 0.0 180.0 8.93640E-02 4.60528E-03 1.99532E-03 6.60060E-03 3.51713E-03 0.022328 7 4 30.0 45.0 135.0 9.75903E-02 4.60404E-03 2.17901E-03 6.78304E-03 3.51618E-03 0.022328 7 7 30.0 90.0 90.0 1.28287E-01 4.60786E-03 2.86406E-03 7.47192E-03 3.51910E-03 0.022325 6 1 40.0 0.0 180.0 7.34097E-02 4.66456E-03 1.88350E-03 6.54806E-03 3.56240E-03 0.025657 6 4 40.0 45.0 135.0 7.85985E-02 4.66259E-03 2.01681E-03 6.67940E-03 3.56090E-03 0.025660 6 7 40.0 90.0 90.0 9.64862E-02 4.65495E-03 2.47575E-03 7.13071E-03 3.55507E-03 0.025659 5 1 50.0 0.0 180.0 6.79939E-02 4.79001E-03 2.41259E-03 7.20260E-03 3.65821E-03 0.035482 5 4 50.0 45.0 135.0 7.18135E-02 4.78175E-03 2.54958E-03 7.33133E-03 3.65190E-03 0.035503 5 7 50.0 90.0 90.0 8.40833E-02 4.83072E-03 2.98504E-03 7.81576E-03 3.68930E-03 0.035501 4 1 60.0 0.0 180.0 7.05251E-02 4.82738E-03 4.45775E-03 9.28513E-03 3.68675E-03 0.063208 4 4 60.0 45.0 135.0 7.35747E-02 4.85131E-03 4.65046E-03 9.50178E-03 3.70503E-03 0.063207 4 7 60.0 90.0 90.0 8.32428E-02 4.85936E-03 5.26089E-03 1.01203E-02 3.71118E-03 0.063199 3 1 70.0 0.0 180.0 8.45797E-02 4.64175E-03 1.19653E-02 1.66070E-02 3.54498E-03 0.141467 3 4 70.0 45.0 135.0 8.68152E-02 4.62987E-03 1.22661E-02 1.68960E-02 3.53591E-03 0.141290 3 7 70.0 90.0 90.0 9.46795E-02 4.67251E-03 1.33909E-02 1.80634E-02 3.56847E-03 0.141434 2 1 80.0 0.0 180.0 1.26129E-01 3.47425E-03 4.63630E-02 4.98373E-02 2.65334E-03 0.367584 2 4 80.0 45.0 135.0 1.26737E-01 3.48548E-03 4.65557E-02 5.00412E-02 2.66192E-03 0.367340 2 7 80.0 90.0 90.0 1.31774E-01 3.54035E-03 4.84417E-02 5.19821E-02 2.70383E-03 0.367613 1 1 87.5 0.0 180.0 1.90143E-01 1.57559E-03 1.47001E-01 1.48576E-01 1.20331E-03 0.773106 1 4 87.5 45.0 135.0 1.87866E-01 1.63717E-03 1.45247E-01 1.46884E-01 1.25034E-03 0.773143 1 7 87.5 90.0 90.0 1.87517E-01 1.64572E-03 1.44870E-01 1.46515E-01 1.25686E-03 0.772570 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 435.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.458E-02 4.839E-01 1.694E-01 1.670E-01 1.782E-01 1.114E-02 4.186E+00 4.400E-03 3.360E-03 1 0.00 0.00 8.091E-03 4.295E+00 1.449E-02 1.597E-02 1.878E-02 6.308E-03 4.058E+00 3 0.91 1.00 7.135E-03 3.422E+00 1.575E-02 1.798E-02 2.199E-02 6.360E-03 4.245E+00 5 1.81 2.00 6.252E-03 2.649E+00 1.583E-02 1.838E-02 2.288E-02 6.404E-03 4.399E+00 7 2.72 3.00 5.449E-03 2.025E+00 1.526E-02 1.792E-02 2.259E-02 6.441E-03 4.530E+00 9 3.62 4.00 4.727E-03 1.541E+00 1.433E-02 1.696E-02 2.157E-02 6.475E-03 4.644E+00 11 4.53 5.00 4.085E-03 1.175E+00 1.322E-02 1.574E-02 2.012E-02 6.504E-03 4.745E+00 13 5.43 6.00 3.518E-03 8.999E-01 1.204E-02 1.439E-02 1.843E-02 6.529E-03 4.835E+00 15 6.34 7.00 3.020E-03 6.938E-01 1.087E-02 1.301E-02 1.664E-02 6.552E-03 4.916E+00 17 7.24 8.00 2.585E-03 5.389E-01 9.730E-03 1.165E-02 1.485E-02 6.571E-03 4.988E+00 19 8.15 9.00 2.208E-03 4.218E-01 8.657E-03 1.035E-02 1.312E-02 6.588E-03 5.052E+00 21 9.05 10.00 1.881E-03 3.326E-01 7.659E-03 9.134E-03 1.149E-02 6.603E-03 5.109E+00 Waveband 9 of 40 completed in 4.3 sec. * * * * * Output for wavelength band 10 (440.0 to 450.0 nm; nominal wavelength = 445.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 33.0 m at 445.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 440.0 nm to 450.0 nm: Ed(diffuse) = 5.201E-01 Ed(direct) = 1.026E+00 Ed(total) = 1.546E+00 Absorption Coefficients of Individual Components at 445.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0075 0.0839 0.0000 0.0165 0.1078 3 0.900 1.000 0.0075 0.0839 0.0000 0.0165 0.1078 5 1.800 2.000 0.0075 0.0839 0.0000 0.0165 0.1078 7 2.700 3.000 0.0075 0.0839 0.0000 0.0165 0.1078 9 3.600 4.000 0.0075 0.0839 0.0000 0.0165 0.1078 11 4.500 5.000 0.0075 0.0839 0.0000 0.0165 0.1078 13 5.400 6.000 0.0075 0.0839 0.0000 0.0165 0.1078 15 6.300 7.000 0.0075 0.0839 0.0000 0.0165 0.1078 17 7.200 8.000 0.0075 0.0839 0.0000 0.0165 0.1078 19 8.100 9.000 0.0075 0.0839 0.0000 0.0165 0.1078 21 9.000 10.000 0.0075 0.0839 0.0000 0.0165 0.1078 Scattering Coefficients of Individual Components at 445.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0048 0.2757 0.5116 0.0000 0.7921 3 0.900 1.000 0.0048 0.2757 0.5116 0.0000 0.7921 5 1.800 2.000 0.0048 0.2757 0.5116 0.0000 0.7921 7 2.700 3.000 0.0048 0.2757 0.5116 0.0000 0.7921 9 3.600 4.000 0.0048 0.2757 0.5116 0.0000 0.7921 11 4.500 5.000 0.0048 0.2757 0.5116 0.0000 0.7921 13 5.400 6.000 0.0048 0.2757 0.5116 0.0000 0.7921 15 6.300 7.000 0.0048 0.2757 0.5116 0.0000 0.7921 17 7.200 8.000 0.0048 0.2757 0.5116 0.0000 0.7921 19 8.100 9.000 0.0048 0.2757 0.5116 0.0000 0.7921 21 9.000 10.000 0.0048 0.2757 0.5116 0.0000 0.7921 Backscattering Coefficients of Individual Components at 445.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00239 0.00387 0.00090 0.00000 0.00716 3 0.900 1.000 0.00239 0.00387 0.00090 0.00000 0.00716 5 1.800 2.000 0.00239 0.00387 0.00090 0.00000 0.00716 7 2.700 3.000 0.00239 0.00387 0.00090 0.00000 0.00716 9 3.600 4.000 0.00239 0.00387 0.00090 0.00000 0.00716 11 4.500 5.000 0.00239 0.00387 0.00090 0.00000 0.00716 13 5.400 6.000 0.00239 0.00387 0.00090 0.00000 0.00716 15 6.300 7.000 0.00239 0.00387 0.00090 0.00000 0.00716 17 7.200 8.000 0.00239 0.00387 0.00090 0.00000 0.00716 19 8.100 9.000 0.00239 0.00387 0.00090 0.00000 0.00716 21 9.000 10.000 0.00239 0.00387 0.00090 0.00000 0.00716 Summary of Inherent Optical Properties at 445.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1078 0.7921 0.9000 0.8802 0.00716 0.00903 3 0.900 1.000 0.1078 0.7921 0.9000 0.8802 0.00716 0.00903 5 1.800 2.000 0.1078 0.7921 0.9000 0.8802 0.00716 0.00903 7 2.700 3.000 0.1078 0.7921 0.9000 0.8802 0.00716 0.00903 9 3.600 4.000 0.1078 0.7921 0.9000 0.8802 0.00716 0.00903 11 4.500 5.000 0.1078 0.7921 0.9000 0.8802 0.00716 0.00903 13 5.400 6.000 0.1078 0.7921 0.9000 0.8802 0.00716 0.00903 15 6.300 7.000 0.1078 0.7921 0.9000 0.8802 0.00716 0.00903 17 7.200 8.000 0.1078 0.7921 0.9000 0.8802 0.00716 0.00903 19 8.100 9.000 0.1078 0.7921 0.9000 0.8802 0.00716 0.00903 21 9.000 10.000 0.1078 0.7921 0.9000 0.8802 0.00716 0.00903 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5141E-01 8 20.00 8.3145E-01 7 30.00 6.6926E-01 6 40.00 5.0018E-01 5 50.00 3.5109E-01 4 60.00 2.3490E-01 3 70.00 1.5249E-01 2 80.00 9.8429E-02 1 87.50 7.0389E-02 1 92.50 5.4895E-02 2 100.00 4.0111E-02 3 110.00 2.7942E-02 4 120.00 2.0432E-02 5 130.00 1.5867E-02 6 140.00 1.3091E-02 7 150.00 1.1413E-02 8 160.00 1.0428E-02 9 170.00 9.9102E-03 10 180.00 9.7314E-03 Asymptotic AOP values are MUu(inf) = 0.3515 MUd(inf) = 0.7064 MU(inf) = 0.6316 R(inf) = 0.0379 Lu(inf)/Ed(inf) = 0.006707 (1/sr) k(inf) = 0.1707 (1/m) absorp(check) = 0.1078 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 445.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.4051E-01 2.0086E+00 2.2491E+00 7.1483E-02 1.5456E+00 0.2972 0.7695 0.6554 4.6249E-02 1 0.00 0.00 9.0362E-02 1.6515E+00 1.7419E+00 3.9412E-02 1.5153E+00 0.4362 0.9175 0.8473 2.6010E-02 3 0.90 1.00 8.7209E-02 1.5046E+00 1.5918E+00 3.6599E-02 1.3332E+00 0.4197 0.8860 0.8145 2.7453E-02 5 1.80 2.00 8.1991E-02 1.3555E+00 1.4375E+00 3.3472E-02 1.1672E+00 0.4082 0.8611 0.7887 2.8677E-02 7 2.70 3.00 7.5736E-02 1.2107E+00 1.2865E+00 3.0266E-02 1.0176E+00 0.3996 0.8405 0.7675 2.9743E-02 9 3.60 4.00 6.9046E-02 1.0739E+00 1.1429E+00 2.7122E-02 8.8390E-01 0.3928 0.8231 0.7496 3.0685E-02 11 4.50 5.00 6.2301E-02 9.4692E-01 1.0092E+00 2.4126E-02 7.6527E-01 0.3872 0.8082 0.7344 3.1525E-02 13 5.40 6.00 5.5742E-02 8.3072E-01 8.8647E-01 2.1325E-02 6.6064E-01 0.3826 0.7953 0.7212 3.2280E-02 15 6.30 7.00 4.9517E-02 7.2552E-01 7.7504E-01 1.8747E-02 5.6881E-01 0.3786 0.7840 0.7097 3.2958E-02 17 7.20 8.00 4.3715E-02 6.3111E-01 6.7483E-01 1.6400E-02 4.8859E-01 0.3752 0.7742 0.6997 3.3566E-02 19 8.10 9.00 3.8382E-02 5.4704E-01 5.8542E-01 1.4285E-02 4.1879E-01 0.3722 0.7656 0.6910 3.4112E-02 21 9.00 10.00 3.3537E-02 4.7264E-01 5.0618E-01 1.2396E-02 3.5827E-01 0.3696 0.7580 0.6833 3.4599E-02 K-functions (units of 1/meter) at 445.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.01566 0.08571 0.08207 0.06402 0.12528 0.12691 0.11575 1.000 1.010 1.005 0.05079 0.09942 0.09675 0.08265 0.13067 0.13202 0.12266 2.000 2.010 2.005 0.07157 0.10902 0.10688 0.09555 0.13518 0.13635 0.12831 3.000 3.010 3.005 0.08657 0.11669 0.11492 0.10554 0.13910 0.14013 0.13313 4.000 4.010 4.005 0.09806 0.12306 0.12155 0.11363 0.14255 0.14347 0.13733 5.000 5.010 5.005 0.10731 0.12851 0.12720 0.12042 0.14564 0.14646 0.14105 6.000 6.010 6.005 0.11505 0.13328 0.13213 0.12628 0.14840 0.14914 0.14437 7.000 7.010 7.005 0.12170 0.13750 0.13649 0.13143 0.15090 0.15156 0.14736 8.000 8.010 8.005 0.12751 0.14127 0.14038 0.13599 0.15314 0.15374 0.15004 9.000 9.010 9.005 0.13264 0.14465 0.14386 0.14005 0.15516 0.15569 0.15245 10.000 10.010 10.005 0.13718 0.14767 0.14698 0.14368 0.15697 0.15744 0.15462 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 445.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 5.50793E-01 5.24117E-03 1.15899E-02 1.68311E-02 3.39099E-03 0.021042 9 1 10.0 0.0 180.0 2.41482E-01 5.28113E-03 5.09831E-03 1.03794E-02 3.41685E-03 0.021113 9 4 10.0 45.0 135.0 2.69884E-01 5.27332E-03 5.69871E-03 1.09720E-02 3.41179E-03 0.021115 9 7 10.0 90.0 90.0 3.77153E-01 5.25338E-03 7.96531E-03 1.32187E-02 3.39889E-03 0.021120 8 1 20.0 0.0 180.0 1.44362E-01 5.35066E-03 3.08126E-03 8.43192E-03 3.46183E-03 0.021344 8 4 20.0 45.0 135.0 1.61092E-01 5.32702E-03 3.43828E-03 8.76530E-03 3.44654E-03 0.021344 8 7 20.0 90.0 90.0 2.26387E-01 5.31707E-03 4.83201E-03 1.01491E-02 3.44010E-03 0.021344 7 1 30.0 0.0 180.0 1.01717E-01 5.48702E-03 2.27113E-03 7.75815E-03 3.55005E-03 0.022328 7 4 30.0 45.0 135.0 1.11080E-01 5.48831E-03 2.48021E-03 7.96852E-03 3.55089E-03 0.022328 7 7 30.0 90.0 90.0 1.46020E-01 5.49993E-03 3.25996E-03 8.75989E-03 3.55840E-03 0.022325 6 1 40.0 0.0 180.0 8.35571E-02 5.56503E-03 2.14386E-03 7.70889E-03 3.60052E-03 0.025657 6 4 40.0 45.0 135.0 8.94632E-02 5.56672E-03 2.29559E-03 7.86231E-03 3.60162E-03 0.025660 6 7 40.0 90.0 90.0 1.09824E-01 5.56787E-03 2.81798E-03 8.38585E-03 3.60236E-03 0.025659 5 1 50.0 0.0 180.0 7.73927E-02 5.71962E-03 2.74608E-03 8.46571E-03 3.70054E-03 0.035482 5 4 50.0 45.0 135.0 8.17403E-02 5.71447E-03 2.90200E-03 8.61648E-03 3.69721E-03 0.035503 5 7 50.0 90.0 90.0 9.57061E-02 5.78528E-03 3.39767E-03 9.18294E-03 3.74302E-03 0.035501 4 1 60.0 0.0 180.0 8.02738E-02 5.77007E-03 5.07395E-03 1.08440E-02 3.73318E-03 0.063208 4 4 60.0 45.0 135.0 8.37450E-02 5.80416E-03 5.29330E-03 1.10975E-02 3.75524E-03 0.063207 4 7 60.0 90.0 90.0 9.47495E-02 5.82792E-03 5.98811E-03 1.18160E-02 3.77061E-03 0.063199 3 1 70.0 0.0 180.0 9.62712E-02 5.55109E-03 1.36192E-02 1.91703E-02 3.59151E-03 0.141467 3 4 70.0 45.0 135.0 9.88157E-02 5.54241E-03 1.39617E-02 1.95041E-02 3.58589E-03 0.141290 3 7 70.0 90.0 90.0 1.07767E-01 5.60786E-03 1.52419E-02 2.08498E-02 3.62824E-03 0.141434 2 1 80.0 0.0 180.0 1.43564E-01 4.16030E-03 5.27718E-02 5.69321E-02 2.69168E-03 0.367584 2 4 80.0 45.0 135.0 1.44256E-01 4.17845E-03 5.29911E-02 5.71696E-02 2.70342E-03 0.367340 2 7 80.0 90.0 90.0 1.49989E-01 4.25654E-03 5.51378E-02 5.93944E-02 2.75394E-03 0.367613 1 1 87.5 0.0 180.0 2.16427E-01 1.88672E-03 1.67321E-01 1.69207E-01 1.22069E-03 0.773106 1 4 87.5 45.0 135.0 2.13835E-01 1.96267E-03 1.65325E-01 1.67287E-01 1.26983E-03 0.773143 1 7 87.5 90.0 90.0 2.13437E-01 1.97864E-03 1.64895E-01 1.66874E-01 1.28016E-03 0.772570 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 445.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.683E-02 5.508E-01 1.928E-01 1.902E-01 2.029E-01 1.089E-02 4.247E+00 5.241E-03 3.391E-03 1 0.00 0.00 9.638E-03 5.114E+00 1.729E-02 1.914E-02 2.259E-02 6.360E-03 4.089E+00 3 0.90 1.00 8.554E-03 4.100E+00 1.887E-02 2.162E-02 2.655E-02 6.416E-03 4.279E+00 5 1.80 2.00 7.545E-03 3.192E+00 1.910E-02 2.226E-02 2.784E-02 6.464E-03 4.436E+00 7 2.70 3.00 6.620E-03 2.453E+00 1.856E-02 2.188E-02 2.771E-02 6.506E-03 4.572E+00 9 3.60 4.00 5.783E-03 1.877E+00 1.757E-02 2.088E-02 2.669E-02 6.542E-03 4.690E+00 11 4.50 5.00 5.031E-03 1.438E+00 1.634E-02 1.954E-02 2.510E-02 6.574E-03 4.795E+00 13 5.40 6.00 4.362E-03 1.107E+00 1.501E-02 1.802E-02 2.318E-02 6.603E-03 4.889E+00 15 6.30 7.00 3.770E-03 8.581E-01 1.365E-02 1.642E-02 2.110E-02 6.628E-03 4.973E+00 17 7.20 8.00 3.249E-03 6.700E-01 1.232E-02 1.482E-02 1.898E-02 6.650E-03 5.048E+00 19 8.10 9.00 2.793E-03 5.272E-01 1.105E-02 1.327E-02 1.689E-02 6.669E-03 5.115E+00 21 9.00 10.00 2.395E-03 4.179E-01 9.848E-03 1.180E-02 1.491E-02 6.686E-03 5.175E+00 Waveband 10 of 40 completed in 3.9 sec. * * * * * Output for wavelength band 11 (450.0 to 460.0 nm; nominal wavelength = 455.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 33.0 m at 455.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 450.0 nm to 460.0 nm: Ed(diffuse) = 5.372E-01 Ed(direct) = 1.117E+00 Ed(total) = 1.654E+00 Absorption Coefficients of Individual Components at 455.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0096 0.0763 0.0000 0.0143 0.1002 3 0.892 1.000 0.0096 0.0763 0.0000 0.0143 0.1002 5 1.784 2.000 0.0096 0.0763 0.0000 0.0143 0.1002 7 2.676 3.000 0.0096 0.0763 0.0000 0.0143 0.1002 9 3.568 4.000 0.0096 0.0763 0.0000 0.0143 0.1002 11 4.460 5.000 0.0096 0.0763 0.0000 0.0143 0.1002 13 5.352 6.000 0.0096 0.0763 0.0000 0.0143 0.1002 15 6.243 7.000 0.0096 0.0763 0.0000 0.0143 0.1002 17 7.135 8.000 0.0096 0.0763 0.0000 0.0143 0.1002 19 8.027 9.000 0.0096 0.0763 0.0000 0.0143 0.1002 21 8.919 10.000 0.0096 0.0763 0.0000 0.0143 0.1002 Scattering Coefficients of Individual Components at 455.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0043 0.2757 0.5116 0.0000 0.7917 3 0.892 1.000 0.0043 0.2757 0.5116 0.0000 0.7917 5 1.784 2.000 0.0043 0.2757 0.5116 0.0000 0.7917 7 2.676 3.000 0.0043 0.2757 0.5116 0.0000 0.7917 9 3.568 4.000 0.0043 0.2757 0.5116 0.0000 0.7917 11 4.460 5.000 0.0043 0.2757 0.5116 0.0000 0.7917 13 5.352 6.000 0.0043 0.2757 0.5116 0.0000 0.7917 15 6.243 7.000 0.0043 0.2757 0.5116 0.0000 0.7917 17 7.135 8.000 0.0043 0.2757 0.5116 0.0000 0.7917 19 8.027 9.000 0.0043 0.2757 0.5116 0.0000 0.7917 21 8.919 10.000 0.0043 0.2757 0.5116 0.0000 0.7917 Backscattering Coefficients of Individual Components at 455.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00217 0.00387 0.00090 0.00000 0.00694 3 0.892 1.000 0.00217 0.00387 0.00090 0.00000 0.00694 5 1.784 2.000 0.00217 0.00387 0.00090 0.00000 0.00694 7 2.676 3.000 0.00217 0.00387 0.00090 0.00000 0.00694 9 3.568 4.000 0.00217 0.00387 0.00090 0.00000 0.00694 11 4.460 5.000 0.00217 0.00387 0.00090 0.00000 0.00694 13 5.352 6.000 0.00217 0.00387 0.00090 0.00000 0.00694 15 6.243 7.000 0.00217 0.00387 0.00090 0.00000 0.00694 17 7.135 8.000 0.00217 0.00387 0.00090 0.00000 0.00694 19 8.027 9.000 0.00217 0.00387 0.00090 0.00000 0.00694 21 8.919 10.000 0.00217 0.00387 0.00090 0.00000 0.00694 Summary of Inherent Optical Properties at 455.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1002 0.7917 0.8919 0.8877 0.00694 0.00876 3 0.892 1.000 0.1002 0.7917 0.8919 0.8877 0.00694 0.00876 5 1.784 2.000 0.1002 0.7917 0.8919 0.8877 0.00694 0.00876 7 2.676 3.000 0.1002 0.7917 0.8919 0.8877 0.00694 0.00876 9 3.568 4.000 0.1002 0.7917 0.8919 0.8877 0.00694 0.00876 11 4.460 5.000 0.1002 0.7917 0.8919 0.8877 0.00694 0.00876 13 5.352 6.000 0.1002 0.7917 0.8919 0.8877 0.00694 0.00876 15 6.243 7.000 0.1002 0.7917 0.8919 0.8877 0.00694 0.00876 17 7.135 8.000 0.1002 0.7917 0.8919 0.8877 0.00694 0.00876 19 8.027 9.000 0.1002 0.7917 0.8919 0.8877 0.00694 0.00876 21 8.919 10.000 0.1002 0.7917 0.8919 0.8877 0.00694 0.00876 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5323E-01 8 20.00 8.3734E-01 7 30.00 6.7950E-01 6 40.00 5.1326E-01 5 50.00 3.6475E-01 4 60.00 2.4730E-01 3 70.00 1.6267E-01 2 80.00 1.0626E-01 1 87.50 7.6563E-02 1 92.50 5.9963E-02 2 100.00 4.4003E-02 3 110.00 3.0740E-02 4 120.00 2.2469E-02 5 130.00 1.7397E-02 6 140.00 1.4291E-02 7 150.00 1.2403E-02 8 160.00 1.1290E-02 9 170.00 1.0703E-02 10 180.00 1.0501E-02 Asymptotic AOP values are MUu(inf) = 0.3512 MUd(inf) = 0.7009 MU(inf) = 0.6222 R(inf) = 0.0405 Lu(inf)/Ed(inf) = 0.007078 (1/sr) k(inf) = 0.1611 (1/m) absorp(check) = 0.1002 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 455.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.5286E-01 2.1331E+00 2.3859E+00 7.6747E-02 1.6537E+00 0.3035 0.7753 0.6610 4.6408E-02 1 0.00 0.00 1.0221E-01 1.7698E+00 1.8720E+00 4.4643E-02 1.6235E+00 0.4368 0.9173 0.8434 2.7498E-02 3 0.89 1.00 9.9445E-02 1.6265E+00 1.7260E+00 4.1831E-02 1.4409E+00 0.4206 0.8859 0.8106 2.9031E-02 5 1.78 2.00 9.4397E-02 1.4791E+00 1.5735E+00 3.8630E-02 1.2729E+00 0.4092 0.8606 0.7844 3.0347E-02 7 2.68 3.00 8.8088E-02 1.3339E+00 1.4220E+00 3.5283E-02 1.1200E+00 0.4005 0.8396 0.7628 3.1502E-02 9 3.57 4.00 8.1149E-02 1.1948E+00 1.2760E+00 3.1942E-02 9.8194E-01 0.3936 0.8218 0.7445 3.2529E-02 11 4.46 5.00 7.3998E-02 1.0641E+00 1.1381E+00 2.8706E-02 8.5819E-01 0.3879 0.8065 0.7289 3.3450E-02 13 5.35 6.00 6.6910E-02 9.4286E-01 1.0098E+00 2.5637E-02 7.4790E-01 0.3832 0.7932 0.7153 3.4278E-02 15 6.24 7.00 6.0068E-02 8.3175E-01 8.9182E-01 2.2770E-02 6.5011E-01 0.3791 0.7816 0.7034 3.5025E-02 17 7.14 8.00 5.3589E-02 7.3082E-01 7.8441E-01 2.0125E-02 5.6379E-01 0.3755 0.7715 0.6931 3.5696E-02 19 8.03 9.00 4.7545E-02 6.3985E-01 6.8739E-01 1.7710E-02 4.8792E-01 0.3725 0.7626 0.6840 3.6298E-02 21 8.92 10.00 4.1978E-02 5.5840E-01 6.0038E-01 1.5525E-02 4.2145E-01 0.3698 0.7547 0.6761 3.6837E-02 K-functions (units of 1/meter) at 455.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.00923 0.07752 0.07379 0.05570 0.11671 0.11844 0.10681 1.000 1.010 1.005 0.04168 0.09031 0.08751 0.07319 0.12178 0.12324 0.11339 2.000 2.010 2.005 0.06160 0.09950 0.09722 0.08563 0.12609 0.12735 0.11886 3.000 3.010 3.005 0.07622 0.10694 0.10503 0.09539 0.12985 0.13098 0.12355 4.000 4.010 4.005 0.08756 0.11318 0.11155 0.10338 0.13320 0.13420 0.12768 5.000 5.010 5.005 0.09676 0.11855 0.11713 0.11013 0.13620 0.13710 0.13135 6.000 6.010 6.005 0.10450 0.12327 0.12202 0.11599 0.13890 0.13971 0.13464 7.000 7.010 7.005 0.11118 0.12747 0.12637 0.12115 0.14134 0.14207 0.13761 8.000 8.010 8.005 0.11704 0.13124 0.13027 0.12574 0.14354 0.14420 0.14028 9.000 9.010 9.005 0.12222 0.13461 0.13376 0.12984 0.14553 0.14612 0.14269 10.000 10.010 10.005 0.12682 0.13765 0.13689 0.13350 0.14732 0.14784 0.14485 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 455.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 5.68945E-01 5.90020E-03 1.19719E-02 1.78721E-02 3.56779E-03 0.021042 9 1 10.0 0.0 180.0 2.49441E-01 5.94151E-03 5.26629E-03 1.12078E-02 3.59277E-03 0.021112 9 4 10.0 45.0 135.0 2.78782E-01 5.93470E-03 5.88660E-03 1.18213E-02 3.58866E-03 0.021115 9 7 10.0 90.0 90.0 3.89559E-01 5.91703E-03 8.22740E-03 1.41444E-02 3.57797E-03 0.021120 8 1 20.0 0.0 180.0 1.49120E-01 6.02136E-03 3.18281E-03 9.20416E-03 3.64105E-03 0.021344 8 4 20.0 45.0 135.0 1.66401E-01 5.99786E-03 3.55159E-03 9.54945E-03 3.62685E-03 0.021344 8 7 20.0 90.0 90.0 2.33848E-01 5.99426E-03 4.99125E-03 1.09855E-02 3.62467E-03 0.021344 7 1 30.0 0.0 180.0 1.05069E-01 6.17722E-03 2.34598E-03 8.52321E-03 3.73531E-03 0.022328 7 4 30.0 45.0 135.0 1.14741E-01 6.18279E-03 2.56195E-03 8.74475E-03 3.73867E-03 0.022328 7 7 30.0 90.0 90.0 1.50832E-01 6.20614E-03 3.36740E-03 9.57354E-03 3.75279E-03 0.022325 6 1 40.0 0.0 180.0 8.63109E-02 6.27378E-03 2.21451E-03 8.48829E-03 3.79369E-03 0.025657 6 4 40.0 45.0 135.0 9.24116E-02 6.28151E-03 2.37125E-03 8.65276E-03 3.79837E-03 0.025660 6 7 40.0 90.0 90.0 1.13443E-01 6.29735E-03 2.91085E-03 9.20820E-03 3.80794E-03 0.025659 5 1 50.0 0.0 180.0 7.99433E-02 6.45349E-03 2.83658E-03 9.29008E-03 3.90236E-03 0.035482 5 4 50.0 45.0 135.0 8.44342E-02 6.45436E-03 2.99765E-03 9.45201E-03 3.90289E-03 0.035503 5 7 50.0 90.0 90.0 9.88603E-02 6.55131E-03 3.50964E-03 1.00610E-02 3.96151E-03 0.035501 4 1 60.0 0.0 180.0 8.29194E-02 6.51683E-03 5.24117E-03 1.17580E-02 3.94066E-03 0.063208 4 4 60.0 45.0 135.0 8.65049E-02 6.56297E-03 5.46775E-03 1.20307E-02 3.96856E-03 0.063207 4 7 60.0 90.0 90.0 9.78721E-02 6.60896E-03 6.18545E-03 1.27944E-02 3.99637E-03 0.063199 3 1 70.0 0.0 180.0 9.94440E-02 6.27204E-03 1.40681E-02 2.03401E-02 3.79264E-03 0.141467 3 4 70.0 45.0 135.0 1.02072E-01 6.26981E-03 1.44218E-02 2.06916E-02 3.79129E-03 0.141290 3 7 70.0 90.0 90.0 1.11319E-01 6.36295E-03 1.57443E-02 2.21072E-02 3.84762E-03 0.141434 2 1 80.0 0.0 180.0 1.48295E-01 4.70536E-03 5.45110E-02 5.92163E-02 2.84529E-03 0.367584 2 4 80.0 45.0 135.0 1.49011E-01 4.73209E-03 5.47376E-02 5.94696E-02 2.86145E-03 0.367340 2 7 80.0 90.0 90.0 1.54932E-01 4.83623E-03 5.69550E-02 6.17912E-02 2.92442E-03 0.367613 1 1 87.5 0.0 180.0 2.23559E-01 2.13391E-03 1.72835E-01 1.74969E-01 1.29036E-03 0.773106 1 4 87.5 45.0 135.0 2.20882E-01 2.22272E-03 1.70773E-01 1.72996E-01 1.34406E-03 0.773143 1 7 87.5 90.0 90.0 2.20471E-01 2.24810E-03 1.70330E-01 1.72578E-01 1.35941E-03 0.772570 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 455.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.787E-02 5.689E-01 1.993E-01 1.965E-01 2.097E-01 1.081E-02 4.294E+00 5.900E-03 3.568E-03 1 0.00 0.00 1.085E-02 5.516E+00 1.936E-02 2.149E-02 2.542E-02 6.683E-03 4.115E+00 3 0.89 1.00 9.718E-03 4.462E+00 2.118E-02 2.432E-02 2.992E-02 6.744E-03 4.305E+00 5 1.78 2.00 8.652E-03 3.502E+00 2.163E-02 2.527E-02 3.167E-02 6.797E-03 4.465E+00 7 2.68 3.00 7.664E-03 2.713E+00 2.124E-02 2.510E-02 3.186E-02 6.843E-03 4.604E+00 9 3.57 4.00 6.759E-03 2.092E+00 2.032E-02 2.423E-02 3.103E-02 6.884E-03 4.726E+00 11 4.46 5.00 5.938E-03 1.616E+00 1.912E-02 2.293E-02 2.952E-02 6.919E-03 4.834E+00 13 5.35 6.00 5.199E-03 1.254E+00 1.775E-02 2.138E-02 2.758E-02 6.951E-03 4.932E+00 15 6.24 7.00 4.537E-03 9.798E-01 1.633E-02 1.970E-02 2.539E-02 6.979E-03 5.019E+00 17 7.14 8.00 3.948E-03 7.711E-01 1.490E-02 1.798E-02 2.309E-02 7.003E-03 5.097E+00 19 8.03 9.00 3.427E-03 6.116E-01 1.351E-02 1.628E-02 2.078E-02 7.025E-03 5.167E+00 21 8.92 10.00 2.968E-03 4.888E-01 1.217E-02 1.463E-02 1.854E-02 7.043E-03 5.230E+00 Waveband 11 of 40 completed in 3.9 sec. * * * * * Output for wavelength band 12 (460.0 to 470.0 nm; nominal wavelength = 465.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 33.0 m at 465.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 460.0 nm to 470.0 nm: Ed(diffuse) = 5.168E-01 Ed(direct) = 1.130E+00 Ed(total) = 1.647E+00 Absorption Coefficients of Individual Components at 465.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0101 0.0716 0.0000 0.0124 0.0941 3 0.885 1.000 0.0101 0.0716 0.0000 0.0124 0.0941 5 1.771 2.000 0.0101 0.0716 0.0000 0.0124 0.0941 7 2.656 3.000 0.0101 0.0716 0.0000 0.0124 0.0941 9 3.542 4.000 0.0101 0.0716 0.0000 0.0124 0.0941 11 4.427 5.000 0.0101 0.0716 0.0000 0.0124 0.0941 13 5.313 6.000 0.0101 0.0716 0.0000 0.0124 0.0941 15 6.198 7.000 0.0101 0.0716 0.0000 0.0124 0.0941 17 7.084 8.000 0.0101 0.0716 0.0000 0.0124 0.0941 19 7.969 9.000 0.0101 0.0716 0.0000 0.0124 0.0941 21 8.855 10.000 0.0101 0.0716 0.0000 0.0124 0.0941 Scattering Coefficients of Individual Components at 465.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0040 0.2757 0.5116 0.0000 0.7913 3 0.885 1.000 0.0040 0.2757 0.5116 0.0000 0.7913 5 1.771 2.000 0.0040 0.2757 0.5116 0.0000 0.7913 7 2.656 3.000 0.0040 0.2757 0.5116 0.0000 0.7913 9 3.542 4.000 0.0040 0.2757 0.5116 0.0000 0.7913 11 4.427 5.000 0.0040 0.2757 0.5116 0.0000 0.7913 13 5.313 6.000 0.0040 0.2757 0.5116 0.0000 0.7913 15 6.198 7.000 0.0040 0.2757 0.5116 0.0000 0.7913 17 7.084 8.000 0.0040 0.2757 0.5116 0.0000 0.7913 19 7.969 9.000 0.0040 0.2757 0.5116 0.0000 0.7913 21 8.855 10.000 0.0040 0.2757 0.5116 0.0000 0.7913 Backscattering Coefficients of Individual Components at 465.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00198 0.00387 0.00090 0.00000 0.00674 3 0.885 1.000 0.00198 0.00387 0.00090 0.00000 0.00674 5 1.771 2.000 0.00198 0.00387 0.00090 0.00000 0.00674 7 2.656 3.000 0.00198 0.00387 0.00090 0.00000 0.00674 9 3.542 4.000 0.00198 0.00387 0.00090 0.00000 0.00674 11 4.427 5.000 0.00198 0.00387 0.00090 0.00000 0.00674 13 5.313 6.000 0.00198 0.00387 0.00090 0.00000 0.00674 15 6.198 7.000 0.00198 0.00387 0.00090 0.00000 0.00674 17 7.084 8.000 0.00198 0.00387 0.00090 0.00000 0.00674 19 7.969 9.000 0.00198 0.00387 0.00090 0.00000 0.00674 21 8.855 10.000 0.00198 0.00387 0.00090 0.00000 0.00674 Summary of Inherent Optical Properties at 465.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0941 0.7913 0.8855 0.8937 0.00674 0.00852 3 0.885 1.000 0.0941 0.7913 0.8855 0.8937 0.00674 0.00852 5 1.771 2.000 0.0941 0.7913 0.8855 0.8937 0.00674 0.00852 7 2.656 3.000 0.0941 0.7913 0.8855 0.8937 0.00674 0.00852 9 3.542 4.000 0.0941 0.7913 0.8855 0.8937 0.00674 0.00852 11 4.427 5.000 0.0941 0.7913 0.8855 0.8937 0.00674 0.00852 13 5.313 6.000 0.0941 0.7913 0.8855 0.8937 0.00674 0.00852 15 6.198 7.000 0.0941 0.7913 0.8855 0.8937 0.00674 0.00852 17 7.084 8.000 0.0941 0.7913 0.8855 0.8937 0.00674 0.00852 19 7.969 9.000 0.0941 0.7913 0.8855 0.8937 0.00674 0.00852 21 8.855 10.000 0.0941 0.7913 0.8855 0.8937 0.00674 0.00852 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5472E-01 8 20.00 8.4219E-01 7 30.00 6.8801E-01 6 40.00 5.2422E-01 5 50.00 3.7635E-01 4 60.00 2.5798E-01 3 70.00 1.7157E-01 2 80.00 1.1319E-01 1 87.50 8.2079E-02 1 92.50 6.4520E-02 2 100.00 4.7526E-02 3 110.00 3.3288E-02 4 120.00 2.4329E-02 5 130.00 1.8793E-02 6 140.00 1.5382E-02 7 150.00 1.3298E-02 8 160.00 1.2066E-02 9 170.00 1.1415E-02 10 180.00 1.1190E-02 Asymptotic AOP values are MUu(inf) = 0.3510 MUd(inf) = 0.6962 MU(inf) = 0.6141 R(inf) = 0.0429 Lu(inf)/Ed(inf) = 0.007404 (1/sr) k(inf) = 0.1533 (1/m) absorp(check) = 0.0941 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 465.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.4755E-01 2.1087E+00 2.3562E+00 7.6663E-02 1.6465E+00 0.3097 0.7808 0.6663 4.6561E-02 1 0.00 0.00 1.0690E-01 1.7646E+00 1.8715E+00 4.6764E-02 1.6185E+00 0.4375 0.9172 0.8398 2.8894E-02 3 0.89 1.00 1.0465E-01 1.6331E+00 1.7377E+00 4.4127E-02 1.4466E+00 0.4217 0.8858 0.8071 3.0504E-02 5 1.77 2.00 1.0008E-01 1.4962E+00 1.5963E+00 4.1063E-02 1.2872E+00 0.4103 0.8603 0.7806 3.1901E-02 7 2.66 3.00 9.4148E-02 1.3599E+00 1.4540E+00 3.7804E-02 1.1409E+00 0.4015 0.8390 0.7587 3.3134E-02 9 3.54 4.00 8.7455E-02 1.2278E+00 1.3152E+00 3.4504E-02 1.0078E+00 0.3945 0.8209 0.7400 3.4236E-02 11 4.43 5.00 8.0421E-02 1.1022E+00 1.1827E+00 3.1264E-02 8.8751E-01 0.3888 0.8052 0.7240 3.5227E-02 13 5.31 6.00 7.3335E-02 9.8460E-01 1.0579E+00 2.8152E-02 7.7937E-01 0.3839 0.7916 0.7101 3.6121E-02 15 6.20 7.00 6.6394E-02 8.7563E-01 9.4203E-01 2.5210E-02 6.8269E-01 0.3797 0.7797 0.6979 3.6928E-02 17 7.08 8.00 5.9734E-02 7.7565E-01 8.3538E-01 2.2466E-02 5.9664E-01 0.3761 0.7692 0.6873 3.7654E-02 19 7.97 9.00 5.3445E-02 6.8463E-01 7.3807E-01 1.9934E-02 5.2036E-01 0.3730 0.7601 0.6780 3.8307E-02 21 8.85 10.00 4.7582E-02 6.0235E-01 6.4994E-01 1.7618E-02 4.5299E-01 0.3703 0.7520 0.6699 3.8892E-02 K-functions (units of 1/meter) at 465.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.00444 0.07098 0.06718 0.04926 0.10984 0.11164 0.09975 1.000 1.010 1.005 0.03465 0.08301 0.08010 0.06578 0.11464 0.11618 0.10605 2.000 2.010 2.005 0.05378 0.09184 0.08945 0.07779 0.11877 0.12012 0.11135 3.000 3.010 3.005 0.06803 0.09908 0.09707 0.08733 0.12241 0.12362 0.11594 4.000 4.010 4.005 0.07919 0.10519 0.10346 0.09521 0.12566 0.12674 0.11999 5.000 5.010 5.005 0.08832 0.11050 0.10899 0.10191 0.12859 0.12957 0.12362 6.000 6.010 6.005 0.09605 0.11518 0.11385 0.10776 0.13124 0.13212 0.12688 7.000 7.010 7.005 0.10274 0.11936 0.11819 0.11292 0.13364 0.13443 0.12982 8.000 8.010 8.005 0.10863 0.12312 0.12208 0.11753 0.13581 0.13652 0.13248 9.000 9.010 9.005 0.11384 0.12650 0.12558 0.12165 0.13777 0.13841 0.13488 10.000 10.010 10.005 0.11848 0.12954 0.12873 0.12533 0.13953 0.14011 0.13703 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 465.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 5.47270E-01 6.15221E-03 1.15158E-02 1.76680E-02 3.73653E-03 0.021042 9 1 10.0 0.0 180.0 2.39938E-01 6.19149E-03 5.06561E-03 1.12571E-02 3.76039E-03 0.021112 9 4 10.0 45.0 135.0 2.68165E-01 6.18631E-03 5.66240E-03 1.18487E-02 3.75725E-03 0.021115 9 7 10.0 90.0 90.0 3.74695E-01 6.17247E-03 7.91355E-03 1.40860E-02 3.74884E-03 0.021120 8 1 20.0 0.0 180.0 1.43439E-01 6.27582E-03 3.06155E-03 9.33737E-03 3.81161E-03 0.021344 8 4 20.0 45.0 135.0 1.60062E-01 6.25432E-03 3.41628E-03 9.67060E-03 3.79855E-03 0.021344 8 7 20.0 90.0 90.0 2.24939E-01 6.25784E-03 4.80110E-03 1.10589E-02 3.80069E-03 0.021344 7 1 30.0 0.0 180.0 1.01066E-01 6.44013E-03 2.25661E-03 8.69674E-03 3.91140E-03 0.022328 7 4 30.0 45.0 135.0 1.10370E-01 6.44989E-03 2.46435E-03 8.91424E-03 3.91733E-03 0.022328 7 7 30.0 90.0 90.0 1.45086E-01 6.48405E-03 3.23911E-03 9.72316E-03 3.93808E-03 0.022325 6 1 40.0 0.0 180.0 8.30227E-02 6.54788E-03 2.13014E-03 8.67802E-03 3.97684E-03 0.025657 6 4 40.0 45.0 135.0 8.88910E-02 6.56150E-03 2.28091E-03 8.84241E-03 3.98512E-03 0.025660 6 7 40.0 90.0 90.0 1.09121E-01 6.59181E-03 2.79996E-03 9.39176E-03 4.00352E-03 0.025659 5 1 50.0 0.0 180.0 7.68977E-02 6.73975E-03 2.72852E-03 9.46827E-03 4.09338E-03 0.035482 5 4 50.0 45.0 135.0 8.12175E-02 6.74699E-03 2.88344E-03 9.63043E-03 4.09777E-03 0.035503 5 7 50.0 90.0 90.0 9.50940E-02 6.86430E-03 3.37593E-03 1.02402E-02 4.16902E-03 0.035501 4 1 60.0 0.0 180.0 7.97604E-02 6.81098E-03 5.04149E-03 1.18525E-02 4.13664E-03 0.063208 4 4 60.0 45.0 135.0 8.32093E-02 6.86640E-03 5.25944E-03 1.21258E-02 4.17030E-03 0.063207 4 7 60.0 90.0 90.0 9.41435E-02 6.93240E-03 5.94980E-03 1.28822E-02 4.21038E-03 0.063199 3 1 70.0 0.0 180.0 9.56555E-02 6.55692E-03 1.35321E-02 2.00890E-02 3.98233E-03 0.141467 3 4 70.0 45.0 135.0 9.81837E-02 6.56168E-03 1.38724E-02 2.04341E-02 3.98523E-03 0.141290 3 7 70.0 90.0 90.0 1.07078E-01 6.67695E-03 1.51444E-02 2.18214E-02 4.05524E-03 0.141434 2 1 80.0 0.0 180.0 1.42646E-01 4.92239E-03 5.24343E-02 5.73566E-02 2.98961E-03 0.367584 2 4 80.0 45.0 135.0 1.43334E-01 4.95613E-03 5.26522E-02 5.76083E-02 3.01010E-03 0.367340 2 7 80.0 90.0 90.0 1.49029E-01 5.07968E-03 5.47852E-02 5.98648E-02 3.08513E-03 0.367613 1 1 87.5 0.0 180.0 2.15042E-01 2.23234E-03 1.66250E-01 1.68483E-01 1.35581E-03 0.773106 1 4 87.5 45.0 135.0 2.12467E-01 2.32796E-03 1.64267E-01 1.66595E-01 1.41388E-03 0.773143 1 7 87.5 90.0 90.0 2.12072E-01 2.36127E-03 1.63840E-01 1.66202E-01 1.43411E-03 0.772570 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 465.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.767E-02 5.473E-01 1.918E-01 1.891E-01 2.018E-01 1.073E-02 4.339E+00 6.152E-03 3.737E-03 1 0.00 0.00 1.131E-02 5.534E+00 2.007E-02 2.232E-02 2.644E-02 6.990E-03 4.134E+00 3 0.89 1.00 1.021E-02 4.508E+00 2.198E-02 2.529E-02 3.115E-02 7.055E-03 4.324E+00 5 1.77 2.00 9.155E-03 3.562E+00 2.260E-02 2.644E-02 3.320E-02 7.112E-03 4.485E+00 7 2.66 3.00 8.171E-03 2.777E+00 2.236E-02 2.648E-02 3.369E-02 7.162E-03 4.627E+00 9 3.54 4.00 7.262E-03 2.156E+00 2.159E-02 2.579E-02 3.311E-02 7.205E-03 4.752E+00 11 4.43 5.00 6.429E-03 1.676E+00 2.049E-02 2.463E-02 3.179E-02 7.244E-03 4.863E+00 13 5.31 6.00 5.672E-03 1.309E+00 1.920E-02 2.317E-02 2.997E-02 7.277E-03 4.963E+00 15 6.20 7.00 4.989E-03 1.029E+00 1.782E-02 2.155E-02 2.784E-02 7.307E-03 5.054E+00 17 7.08 8.00 4.375E-03 8.148E-01 1.641E-02 1.985E-02 2.555E-02 7.333E-03 5.135E+00 19 7.97 9.00 3.828E-03 6.504E-01 1.500E-02 1.812E-02 2.320E-02 7.356E-03 5.207E+00 21 8.85 10.00 3.341E-03 5.232E-01 1.364E-02 1.643E-02 2.088E-02 7.376E-03 5.273E+00 Waveband 12 of 40 completed in 4.0 sec. * * * * * Output for wavelength band 13 (470.0 to 480.0 nm; nominal wavelength = 475.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 33.0 m at 475.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 470.0 nm to 480.0 nm: Ed(diffuse) = 5.073E-01 Ed(direct) = 1.164E+00 Ed(total) = 1.671E+00 Absorption Coefficients of Individual Components at 475.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0114 0.0655 0.0000 0.0108 0.0877 3 0.879 1.000 0.0114 0.0655 0.0000 0.0108 0.0877 5 1.757 2.000 0.0114 0.0655 0.0000 0.0108 0.0877 7 2.636 3.000 0.0114 0.0655 0.0000 0.0108 0.0877 9 3.515 4.000 0.0114 0.0655 0.0000 0.0108 0.0877 11 4.394 5.000 0.0114 0.0655 0.0000 0.0108 0.0877 13 5.272 6.000 0.0114 0.0655 0.0000 0.0108 0.0877 15 6.151 7.000 0.0114 0.0655 0.0000 0.0108 0.0877 17 7.030 8.000 0.0114 0.0655 0.0000 0.0108 0.0877 19 7.908 9.000 0.0114 0.0655 0.0000 0.0108 0.0877 21 8.787 10.000 0.0114 0.0655 0.0000 0.0108 0.0877 Scattering Coefficients of Individual Components at 475.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0036 0.2757 0.5116 0.0000 0.7910 3 0.879 1.000 0.0036 0.2757 0.5116 0.0000 0.7910 5 1.757 2.000 0.0036 0.2757 0.5116 0.0000 0.7910 7 2.636 3.000 0.0036 0.2757 0.5116 0.0000 0.7910 9 3.515 4.000 0.0036 0.2757 0.5116 0.0000 0.7910 11 4.394 5.000 0.0036 0.2757 0.5116 0.0000 0.7910 13 5.272 6.000 0.0036 0.2757 0.5116 0.0000 0.7910 15 6.151 7.000 0.0036 0.2757 0.5116 0.0000 0.7910 17 7.030 8.000 0.0036 0.2757 0.5116 0.0000 0.7910 19 7.908 9.000 0.0036 0.2757 0.5116 0.0000 0.7910 21 8.787 10.000 0.0036 0.2757 0.5116 0.0000 0.7910 Backscattering Coefficients of Individual Components at 475.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00180 0.00387 0.00090 0.00000 0.00657 3 0.879 1.000 0.00180 0.00387 0.00090 0.00000 0.00657 5 1.757 2.000 0.00180 0.00387 0.00090 0.00000 0.00657 7 2.636 3.000 0.00180 0.00387 0.00090 0.00000 0.00657 9 3.515 4.000 0.00180 0.00387 0.00090 0.00000 0.00657 11 4.394 5.000 0.00180 0.00387 0.00090 0.00000 0.00657 13 5.272 6.000 0.00180 0.00387 0.00090 0.00000 0.00657 15 6.151 7.000 0.00180 0.00387 0.00090 0.00000 0.00657 17 7.030 8.000 0.00180 0.00387 0.00090 0.00000 0.00657 19 7.908 9.000 0.00180 0.00387 0.00090 0.00000 0.00657 21 8.787 10.000 0.00180 0.00387 0.00090 0.00000 0.00657 Summary of Inherent Optical Properties at 475.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0877 0.7910 0.8787 0.9002 0.00657 0.00830 3 0.879 1.000 0.0877 0.7910 0.8787 0.9002 0.00657 0.00830 5 1.757 2.000 0.0877 0.7910 0.8787 0.9002 0.00657 0.00830 7 2.636 3.000 0.0877 0.7910 0.8787 0.9002 0.00657 0.00830 9 3.515 4.000 0.0877 0.7910 0.8787 0.9002 0.00657 0.00830 11 4.394 5.000 0.0877 0.7910 0.8787 0.9002 0.00657 0.00830 13 5.272 6.000 0.0877 0.7910 0.8787 0.9002 0.00657 0.00830 15 6.151 7.000 0.0877 0.7910 0.8787 0.9002 0.00657 0.00830 17 7.030 8.000 0.0877 0.7910 0.8787 0.9002 0.00657 0.00830 19 7.908 9.000 0.0877 0.7910 0.8787 0.9002 0.00657 0.00830 21 8.787 10.000 0.0877 0.7910 0.8787 0.9002 0.00657 0.00830 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5635E-01 8 20.00 8.4749E-01 7 30.00 6.9738E-01 6 40.00 5.3644E-01 5 50.00 3.8946E-01 4 60.00 2.7022E-01 3 70.00 1.8192E-01 2 80.00 1.2139E-01 1 87.50 8.8689E-02 1 92.50 7.0031E-02 2 100.00 5.1839E-02 3 110.00 3.6454E-02 4 120.00 2.6673E-02 5 130.00 2.0574E-02 6 140.00 1.6790E-02 7 150.00 1.4465E-02 8 160.00 1.3083E-02 9 170.00 1.2351E-02 10 180.00 1.2098E-02 Asymptotic AOP values are MUu(inf) = 0.3512 MUd(inf) = 0.6910 MU(inf) = 0.6046 R(inf) = 0.0459 Lu(inf)/Ed(inf) = 0.007842 (1/sr) k(inf) = 0.1451 (1/m) absorp(check) = 0.0877 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 475.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.4785E-01 2.1258E+00 2.3736E+00 7.8370E-02 1.6710E+00 0.3162 0.7861 0.6710 4.6899E-02 1 0.00 0.00 1.1493E-01 1.7945E+00 1.9094E+00 5.0382E-02 1.6450E+00 0.4384 0.9167 0.8351 3.0628E-02 3 0.88 1.00 1.1322E-01 1.6728E+00 1.7860E+00 4.7882E-02 1.4810E+00 0.4229 0.8854 0.8024 3.2330E-02 5 1.76 2.00 1.0910E-01 1.5446E+00 1.6537E+00 4.4908E-02 1.3278E+00 0.4116 0.8597 0.7758 3.3821E-02 7 2.64 3.00 1.0347E-01 1.4153E+00 1.5188E+00 4.1686E-02 1.1861E+00 0.4029 0.8380 0.7535 3.5147E-02 9 3.51 4.00 9.6941E-02 1.2884E+00 1.3854E+00 3.8368E-02 1.0559E+00 0.3958 0.8195 0.7345 3.6337E-02 11 4.39 5.00 8.9923E-02 1.1664E+00 1.2563E+00 3.5063E-02 9.3723E-01 0.3899 0.8035 0.7181 3.7411E-02 13 5.27 6.00 8.2721E-02 1.0508E+00 1.1335E+00 3.1844E-02 8.2964E-01 0.3850 0.7896 0.7038 3.8383E-02 15 6.15 7.00 7.5553E-02 9.4243E-01 1.0180E+00 2.8763E-02 7.3259E-01 0.3807 0.7773 0.6914 3.9261E-02 17 7.03 8.00 6.8573E-02 8.4195E-01 9.1052E-01 2.5853E-02 6.4545E-01 0.3770 0.7666 0.6805 4.0054E-02 19 7.91 9.00 6.1893E-02 7.4951E-01 8.1140E-01 2.3137E-02 5.6752E-01 0.3738 0.7572 0.6709 4.0768E-02 21 8.79 10.00 5.5588E-02 6.6508E-01 7.2067E-01 2.0625E-02 4.9809E-01 0.3710 0.7489 0.6625 4.1408E-02 K-functions (units of 1/meter) at 475.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 -0.00026 0.06419 0.06031 0.04272 0.10267 0.10457 0.09239 1.000 1.010 1.005 0.02757 0.07542 0.07239 0.05819 0.10721 0.10884 0.09840 2.000 2.010 2.005 0.04581 0.08387 0.08136 0.06972 0.11115 0.11260 0.10351 3.000 3.010 3.005 0.05961 0.09088 0.08875 0.07900 0.11465 0.11595 0.10798 4.000 4.010 4.005 0.07056 0.09686 0.09502 0.08673 0.11779 0.11897 0.11195 5.000 5.010 5.005 0.07958 0.10208 0.10047 0.09336 0.12064 0.12170 0.11551 6.000 6.010 6.005 0.08726 0.10671 0.10529 0.09917 0.12322 0.12418 0.11873 7.000 7.010 7.005 0.09395 0.11086 0.10961 0.10433 0.12557 0.12644 0.12164 8.000 8.010 8.005 0.09985 0.11460 0.11349 0.10893 0.12770 0.12848 0.12428 9.000 9.010 9.005 0.10509 0.11798 0.11700 0.11306 0.12963 0.13033 0.12666 10.000 10.010 10.005 0.10976 0.12103 0.12016 0.11676 0.13136 0.13200 0.12880 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 475.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 5.37223E-01 6.59944E-03 1.13044E-02 1.79039E-02 3.94931E-03 0.021042 9 1 10.0 0.0 180.0 2.35533E-01 6.63730E-03 4.97258E-03 1.16099E-02 3.97196E-03 0.021112 9 4 10.0 45.0 135.0 2.63245E-01 6.63396E-03 5.55853E-03 1.21925E-02 3.96997E-03 0.021115 9 7 10.0 90.0 90.0 3.67795E-01 6.62436E-03 7.76788E-03 1.43922E-02 3.96422E-03 0.021120 8 1 20.0 0.0 180.0 1.40806E-01 6.72904E-03 3.00535E-03 9.73439E-03 4.02687E-03 0.021344 8 4 20.0 45.0 135.0 1.57123E-01 6.70941E-03 3.35357E-03 1.00630E-02 4.01512E-03 0.021344 8 7 20.0 90.0 90.0 2.20810E-01 6.72150E-03 4.71296E-03 1.14345E-02 4.02236E-03 0.021344 7 1 30.0 0.0 180.0 9.92109E-02 6.90739E-03 2.21518E-03 9.12257E-03 4.13360E-03 0.022328 7 4 30.0 45.0 135.0 1.08344E-01 6.92237E-03 2.41911E-03 9.34148E-03 4.14256E-03 0.022328 7 7 30.0 90.0 90.0 1.42423E-01 6.97019E-03 3.17965E-03 1.01498E-02 4.17118E-03 0.022325 6 1 40.0 0.0 180.0 8.14986E-02 7.03097E-03 2.09104E-03 9.12201E-03 4.20755E-03 0.025657 6 4 40.0 45.0 135.0 8.72592E-02 7.05190E-03 2.23904E-03 9.29094E-03 4.22007E-03 0.025660 6 7 40.0 90.0 90.0 1.07118E-01 7.10009E-03 2.74856E-03 9.84864E-03 4.24891E-03 0.025659 5 1 50.0 0.0 180.0 7.54860E-02 7.24164E-03 2.67843E-03 9.92007E-03 4.33362E-03 0.035482 5 4 50.0 45.0 135.0 7.97265E-02 7.25658E-03 2.83051E-03 1.00871E-02 4.34257E-03 0.035503 5 7 50.0 90.0 90.0 9.33483E-02 7.40078E-03 3.31396E-03 1.07147E-02 4.42885E-03 0.035501 4 1 60.0 0.0 180.0 7.82962E-02 7.32365E-03 4.94894E-03 1.22726E-02 4.38270E-03 0.063208 4 4 60.0 45.0 135.0 8.16818E-02 7.39137E-03 5.16289E-03 1.25543E-02 4.42322E-03 0.063207 4 7 60.0 90.0 90.0 9.24152E-02 7.48253E-03 5.84058E-03 1.33231E-02 4.47778E-03 0.063199 3 1 70.0 0.0 180.0 9.38995E-02 7.05210E-03 1.32837E-02 2.03358E-02 4.22019E-03 0.141467 3 4 70.0 45.0 135.0 9.63813E-02 7.06521E-03 1.36177E-02 2.06829E-02 4.22804E-03 0.141290 3 7 70.0 90.0 90.0 1.05112E-01 7.20926E-03 1.48664E-02 2.20757E-02 4.31424E-03 0.141434 2 1 80.0 0.0 180.0 1.40027E-01 5.29719E-03 5.14717E-02 5.67689E-02 3.17000E-03 0.367584 2 4 80.0 45.0 135.0 1.40703E-01 5.33994E-03 5.16856E-02 5.70256E-02 3.19558E-03 0.367340 2 7 80.0 90.0 90.0 1.46294E-01 5.48916E-03 5.37794E-02 5.92686E-02 3.28488E-03 0.367613 1 1 87.5 0.0 180.0 2.11095E-01 2.40231E-03 1.63199E-01 1.65601E-01 1.43762E-03 0.773106 1 4 87.5 45.0 135.0 2.08566E-01 2.50824E-03 1.61252E-01 1.63760E-01 1.50101E-03 0.773143 1 7 87.5 90.0 90.0 2.08179E-01 2.55162E-03 1.60833E-01 1.63384E-01 1.52697E-03 0.772570 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 475.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.790E-02 5.372E-01 1.883E-01 1.858E-01 1.982E-01 1.071E-02 4.377E+00 6.599E-03 3.949E-03 1 0.00 0.00 1.214E-02 5.657E+00 2.136E-02 2.381E-02 2.825E-02 7.377E-03 4.152E+00 3 0.88 1.00 1.103E-02 4.641E+00 2.342E-02 2.698E-02 3.327E-02 7.448E-03 4.341E+00 5 1.76 2.00 9.971E-03 3.693E+00 2.422E-02 2.840E-02 3.569E-02 7.509E-03 4.504E+00 7 2.64 3.00 8.970E-03 2.899E+00 2.417E-02 2.868E-02 3.652E-02 7.563E-03 4.647E+00 9 3.51 4.00 8.036E-03 2.265E+00 2.354E-02 2.818E-02 3.623E-02 7.611E-03 4.774E+00 11 4.39 5.00 7.172E-03 1.773E+00 2.255E-02 2.716E-02 3.511E-02 7.653E-03 4.889E+00 13 5.27 6.00 6.379E-03 1.393E+00 2.133E-02 2.579E-02 3.342E-02 7.689E-03 4.992E+00 15 6.15 7.00 5.657E-03 1.103E+00 1.998E-02 2.421E-02 3.135E-02 7.722E-03 5.084E+00 17 7.03 8.00 5.002E-03 8.793E-01 1.856E-02 2.251E-02 2.904E-02 7.750E-03 5.168E+00 19 7.91 9.00 4.413E-03 7.067E-01 1.713E-02 2.075E-02 2.661E-02 7.775E-03 5.243E+00 21 8.79 10.00 3.883E-03 5.724E-01 1.572E-02 1.898E-02 2.417E-02 7.797E-03 5.311E+00 Waveband 13 of 40 completed in 3.9 sec. * * * * * Output for wavelength band 14 (480.0 to 490.0 nm; nominal wavelength = 485.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 33.0 m at 485.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 480.0 nm to 490.0 nm: Ed(diffuse) = 4.759E-01 Ed(direct) = 1.142E+00 Ed(total) = 1.618E+00 Absorption Coefficients of Individual Components at 485.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0136 0.0597 0.0000 0.0094 0.0827 3 0.873 1.000 0.0136 0.0597 0.0000 0.0094 0.0827 5 1.747 2.000 0.0136 0.0597 0.0000 0.0094 0.0827 7 2.620 3.000 0.0136 0.0597 0.0000 0.0094 0.0827 9 3.493 4.000 0.0136 0.0597 0.0000 0.0094 0.0827 11 4.367 5.000 0.0136 0.0597 0.0000 0.0094 0.0827 13 5.240 6.000 0.0136 0.0597 0.0000 0.0094 0.0827 15 6.113 7.000 0.0136 0.0597 0.0000 0.0094 0.0827 17 6.987 8.000 0.0136 0.0597 0.0000 0.0094 0.0827 19 7.860 9.000 0.0136 0.0597 0.0000 0.0094 0.0827 21 8.733 10.000 0.0136 0.0597 0.0000 0.0094 0.0827 Scattering Coefficients of Individual Components at 485.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0033 0.2757 0.5116 0.0000 0.7907 3 0.873 1.000 0.0033 0.2757 0.5116 0.0000 0.7907 5 1.747 2.000 0.0033 0.2757 0.5116 0.0000 0.7907 7 2.620 3.000 0.0033 0.2757 0.5116 0.0000 0.7907 9 3.493 4.000 0.0033 0.2757 0.5116 0.0000 0.7907 11 4.367 5.000 0.0033 0.2757 0.5116 0.0000 0.7907 13 5.240 6.000 0.0033 0.2757 0.5116 0.0000 0.7907 15 6.113 7.000 0.0033 0.2757 0.5116 0.0000 0.7907 17 6.987 8.000 0.0033 0.2757 0.5116 0.0000 0.7907 19 7.860 9.000 0.0033 0.2757 0.5116 0.0000 0.7907 21 8.733 10.000 0.0033 0.2757 0.5116 0.0000 0.7907 Backscattering Coefficients of Individual Components at 485.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00165 0.00387 0.00090 0.00000 0.00641 3 0.873 1.000 0.00165 0.00387 0.00090 0.00000 0.00641 5 1.747 2.000 0.00165 0.00387 0.00090 0.00000 0.00641 7 2.620 3.000 0.00165 0.00387 0.00090 0.00000 0.00641 9 3.493 4.000 0.00165 0.00387 0.00090 0.00000 0.00641 11 4.367 5.000 0.00165 0.00387 0.00090 0.00000 0.00641 13 5.240 6.000 0.00165 0.00387 0.00090 0.00000 0.00641 15 6.113 7.000 0.00165 0.00387 0.00090 0.00000 0.00641 17 6.987 8.000 0.00165 0.00387 0.00090 0.00000 0.00641 19 7.860 9.000 0.00165 0.00387 0.00090 0.00000 0.00641 21 8.733 10.000 0.00165 0.00387 0.00090 0.00000 0.00641 Summary of Inherent Optical Properties at 485.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0827 0.7907 0.8733 0.9053 0.00641 0.00811 3 0.873 1.000 0.0827 0.7907 0.8733 0.9053 0.00641 0.00811 5 1.747 2.000 0.0827 0.7907 0.8733 0.9053 0.00641 0.00811 7 2.620 3.000 0.0827 0.7907 0.8733 0.9053 0.00641 0.00811 9 3.493 4.000 0.0827 0.7907 0.8733 0.9053 0.00641 0.00811 11 4.367 5.000 0.0827 0.7907 0.8733 0.9053 0.00641 0.00811 13 5.240 6.000 0.0827 0.7907 0.8733 0.9053 0.00641 0.00811 15 6.113 7.000 0.0827 0.7907 0.8733 0.9053 0.00641 0.00811 17 6.987 8.000 0.0827 0.7907 0.8733 0.9053 0.00641 0.00811 19 7.860 9.000 0.0827 0.7907 0.8733 0.9053 0.00641 0.00811 21 8.733 10.000 0.0827 0.7907 0.8733 0.9053 0.00641 0.00811 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5766E-01 8 20.00 8.5180E-01 7 30.00 7.0506E-01 6 40.00 5.4655E-01 5 50.00 4.0042E-01 4 60.00 2.8059E-01 3 70.00 1.9081E-01 2 80.00 1.2852E-01 1 87.50 9.4480E-02 1 92.50 7.4887E-02 2 100.00 5.5666E-02 3 110.00 3.9280E-02 4 120.00 2.8772E-02 5 130.00 2.2172E-02 6 140.00 1.8051E-02 7 150.00 1.5505E-02 8 160.00 1.3988E-02 9 170.00 1.3181E-02 10 180.00 1.2903E-02 Asymptotic AOP values are MUu(inf) = 0.3515 MUd(inf) = 0.6866 MU(inf) = 0.5967 R(inf) = 0.0485 Lu(inf)/Ed(inf) = 0.008224 (1/sr) k(inf) = 0.1385 (1/m) absorp(check) = 0.0827 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 485.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.3687E-01 2.0457E+00 2.2826E+00 7.6327E-02 1.6181E+00 0.3222 0.7910 0.6755 4.7170E-02 1 0.00 0.00 1.1669E-01 1.7406E+00 1.8573E+00 5.1240E-02 1.5949E+00 0.4391 0.9163 0.8312 3.2127E-02 3 0.87 1.00 1.1550E-01 1.6319E+00 1.7474E+00 4.8974E-02 1.4443E+00 0.4240 0.8851 0.7985 3.3908E-02 5 1.75 2.00 1.1197E-01 1.5161E+00 1.6281E+00 4.6220E-02 1.3027E+00 0.4128 0.8592 0.7717 3.5480E-02 7 2.62 3.00 1.0689E-01 1.3982E+00 1.5051E+00 4.3185E-02 1.1707E+00 0.4040 0.8373 0.7492 3.6887E-02 9 3.49 4.00 1.0082E-01 1.2812E+00 1.3821E+00 4.0015E-02 1.0488E+00 0.3969 0.8186 0.7299 3.8155E-02 11 4.37 5.00 9.4173E-02 1.1677E+00 1.2619E+00 3.6818E-02 9.3677E-01 0.3910 0.8022 0.7132 3.9303E-02 13 5.24 6.00 8.7240E-02 1.0590E+00 1.1463E+00 3.3667E-02 8.3452E-01 0.3859 0.7880 0.6987 4.0343E-02 15 6.11 7.00 8.0243E-02 9.5631E-01 1.0366E+00 3.0619E-02 7.4164E-01 0.3816 0.7755 0.6859 4.1286E-02 17 6.99 8.00 7.3344E-02 8.6018E-01 9.3352E-01 2.7712E-02 6.5764E-01 0.3778 0.7645 0.6748 4.2138E-02 19 7.86 9.00 6.6666E-02 7.7097E-01 8.3763E-01 2.4972E-02 5.8200E-01 0.3746 0.7549 0.6650 4.2906E-02 21 8.73 10.00 6.0295E-02 6.8879E-01 7.4909E-01 2.2414E-02 5.1413E-01 0.3717 0.7464 0.6564 4.3596E-02 K-functions (units of 1/meter) at 485.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 -0.00391 0.05885 0.05490 0.03755 0.09699 0.09897 0.08652 1.000 1.010 1.005 0.02202 0.06942 0.06629 0.05218 0.10131 0.10303 0.09229 2.000 2.010 2.005 0.03951 0.07755 0.07493 0.06330 0.10509 0.10663 0.09725 3.000 3.010 3.005 0.05293 0.08436 0.08213 0.07236 0.10848 0.10986 0.10162 4.000 4.010 4.005 0.06368 0.09022 0.08828 0.07997 0.11153 0.11279 0.10552 5.000 5.010 5.005 0.07260 0.09536 0.09366 0.08653 0.11431 0.11545 0.10903 6.000 6.010 6.005 0.08024 0.09994 0.09844 0.09230 0.11684 0.11787 0.11221 7.000 7.010 7.005 0.08691 0.10407 0.10274 0.09744 0.11914 0.12008 0.11510 8.000 8.010 8.005 0.09282 0.10780 0.10662 0.10205 0.12124 0.12208 0.11771 9.000 9.010 9.005 0.09807 0.11117 0.11013 0.10619 0.12314 0.12390 0.12008 10.000 10.010 10.005 0.10276 0.11422 0.11330 0.10990 0.12485 0.12554 0.12221 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 485.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 5.03988E-01 6.68730E-03 1.06051E-02 1.72924E-02 4.13272E-03 0.021042 9 1 10.0 0.0 180.0 2.20962E-01 6.72167E-03 4.66492E-03 1.13866E-02 4.15397E-03 0.021112 9 4 10.0 45.0 135.0 2.46963E-01 6.72031E-03 5.21472E-03 1.19350E-02 4.15312E-03 0.021115 9 7 10.0 90.0 90.0 3.45021E-01 6.71536E-03 7.28695E-03 1.40023E-02 4.15007E-03 0.021120 8 1 20.0 0.0 180.0 1.32095E-01 6.81565E-03 2.81942E-03 9.63507E-03 4.21204E-03 0.021344 8 4 20.0 45.0 135.0 1.47403E-01 6.79889E-03 3.14610E-03 9.94499E-03 4.20169E-03 0.021344 8 7 20.0 90.0 90.0 2.07149E-01 6.81872E-03 4.42140E-03 1.12401E-02 4.21394E-03 0.021344 7 1 30.0 0.0 180.0 9.30733E-02 6.99811E-03 2.07814E-03 9.07625E-03 4.32480E-03 0.022328 7 4 30.0 45.0 135.0 1.01641E-01 7.01739E-03 2.26945E-03 9.28684E-03 4.33672E-03 0.022328 7 7 30.0 90.0 90.0 1.33612E-01 7.07604E-03 2.98294E-03 1.00590E-02 4.37297E-03 0.022325 6 1 40.0 0.0 180.0 7.64567E-02 7.13011E-03 1.96168E-03 9.09179E-03 4.40638E-03 0.025657 6 4 40.0 45.0 135.0 8.18609E-02 7.15707E-03 2.10052E-03 9.25759E-03 4.42304E-03 0.025660 6 7 40.0 90.0 90.0 1.00491E-01 7.22017E-03 2.57852E-03 9.79868E-03 4.46203E-03 0.025659 5 1 50.0 0.0 180.0 7.08161E-02 7.34762E-03 2.51273E-03 9.86035E-03 4.54080E-03 0.035482 5 4 50.0 45.0 135.0 7.47943E-02 7.36930E-03 2.65540E-03 1.00247E-02 4.55420E-03 0.035503 5 7 50.0 90.0 90.0 8.75734E-02 7.53210E-03 3.10894E-03 1.06410E-02 4.65481E-03 0.035501 4 1 60.0 0.0 180.0 7.34524E-02 7.43540E-03 4.64278E-03 1.20782E-02 4.59505E-03 0.063208 4 4 60.0 45.0 135.0 7.66286E-02 7.51152E-03 4.84349E-03 1.23550E-02 4.64209E-03 0.063207 4 7 60.0 90.0 90.0 8.66980E-02 7.62242E-03 5.47926E-03 1.31017E-02 4.71062E-03 0.063199 3 1 70.0 0.0 180.0 8.80904E-02 7.16096E-03 1.24619E-02 1.96229E-02 4.42544E-03 0.141467 3 4 70.0 45.0 135.0 9.04187E-02 7.18152E-03 1.27753E-02 1.99568E-02 4.43815E-03 0.141290 3 7 70.0 90.0 90.0 9.86094E-02 7.34601E-03 1.39467E-02 2.12927E-02 4.53980E-03 0.141434 2 1 80.0 0.0 180.0 1.31364E-01 5.38130E-03 4.82874E-02 5.36687E-02 3.32562E-03 0.367584 2 4 80.0 45.0 135.0 1.31998E-01 5.43057E-03 4.84881E-02 5.39187E-02 3.35607E-03 0.367340 2 7 80.0 90.0 90.0 1.37243E-01 5.59693E-03 5.04524E-02 5.60493E-02 3.45888E-03 0.367613 1 1 87.5 0.0 180.0 1.98035E-01 2.44046E-03 1.53102E-01 1.55543E-01 1.50819E-03 0.773106 1 4 87.5 45.0 135.0 1.95664E-01 2.55081E-03 1.51276E-01 1.53827E-01 1.57639E-03 0.773143 1 7 87.5 90.0 90.0 1.95300E-01 2.60171E-03 1.50883E-01 1.53485E-01 1.60785E-03 0.772570 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 485.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.729E-02 5.040E-01 1.768E-01 1.744E-01 1.861E-01 1.069E-02 4.414E+00 6.687E-03 4.133E-03 1 0.00 0.00 1.230E-02 5.513E+00 2.150E-02 2.401E-02 2.853E-02 7.710E-03 4.167E+00 3 0.87 1.00 1.124E-02 4.550E+00 2.358E-02 2.720E-02 3.358E-02 7.785E-03 4.355E+00 5 1.75 2.00 1.023E-02 3.641E+00 2.451E-02 2.878E-02 3.621E-02 7.851E-03 4.519E+00 7 2.62 3.00 9.260E-03 2.873E+00 2.461E-02 2.925E-02 3.730E-02 7.909E-03 4.664E+00 9 3.49 4.00 8.348E-03 2.257E+00 2.414E-02 2.895E-02 3.727E-02 7.960E-03 4.793E+00 11 4.37 5.00 7.499E-03 1.775E+00 2.329E-02 2.811E-02 3.640E-02 8.005E-03 4.910E+00 13 5.24 6.00 6.714E-03 1.403E+00 2.219E-02 2.689E-02 3.491E-02 8.045E-03 5.015E+00 15 6.11 7.00 5.992E-03 1.116E+00 2.094E-02 2.544E-02 3.299E-02 8.080E-03 5.110E+00 17 6.99 8.00 5.334E-03 8.946E-01 1.961E-02 2.382E-02 3.079E-02 8.111E-03 5.195E+00 19 7.86 9.00 4.736E-03 7.228E-01 1.823E-02 2.212E-02 2.843E-02 8.137E-03 5.273E+00 21 8.73 10.00 4.196E-03 5.886E-01 1.685E-02 2.039E-02 2.602E-02 8.161E-03 5.342E+00 Waveband 14 of 40 completed in 3.8 sec. * * * * * Output for wavelength band 15 (490.0 to 500.0 nm; nominal wavelength = 495.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 33.0 m at 495.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 490.0 nm to 500.0 nm: Ed(diffuse) = 4.683E-01 Ed(direct) = 1.174E+00 Ed(total) = 1.643E+00 Absorption Coefficients of Individual Components at 495.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0173 0.0537 0.0000 0.0082 0.0792 3 0.870 1.000 0.0173 0.0537 0.0000 0.0082 0.0792 5 1.739 2.000 0.0173 0.0537 0.0000 0.0082 0.0792 7 2.609 3.000 0.0173 0.0537 0.0000 0.0082 0.0792 9 3.478 4.000 0.0173 0.0537 0.0000 0.0082 0.0792 11 4.348 5.000 0.0173 0.0537 0.0000 0.0082 0.0792 13 5.217 6.000 0.0173 0.0537 0.0000 0.0082 0.0792 15 6.087 7.000 0.0173 0.0537 0.0000 0.0082 0.0792 17 6.956 8.000 0.0173 0.0537 0.0000 0.0082 0.0792 19 7.826 9.000 0.0173 0.0537 0.0000 0.0082 0.0792 21 8.695 10.000 0.0173 0.0537 0.0000 0.0082 0.0792 Scattering Coefficients of Individual Components at 495.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0030 0.2757 0.5116 0.0000 0.7904 3 0.870 1.000 0.0030 0.2757 0.5116 0.0000 0.7904 5 1.739 2.000 0.0030 0.2757 0.5116 0.0000 0.7904 7 2.609 3.000 0.0030 0.2757 0.5116 0.0000 0.7904 9 3.478 4.000 0.0030 0.2757 0.5116 0.0000 0.7904 11 4.348 5.000 0.0030 0.2757 0.5116 0.0000 0.7904 13 5.217 6.000 0.0030 0.2757 0.5116 0.0000 0.7904 15 6.087 7.000 0.0030 0.2757 0.5116 0.0000 0.7904 17 6.956 8.000 0.0030 0.2757 0.5116 0.0000 0.7904 19 7.826 9.000 0.0030 0.2757 0.5116 0.0000 0.7904 21 8.695 10.000 0.0030 0.2757 0.5116 0.0000 0.7904 Backscattering Coefficients of Individual Components at 495.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00151 0.00387 0.00090 0.00000 0.00627 3 0.870 1.000 0.00151 0.00387 0.00090 0.00000 0.00627 5 1.739 2.000 0.00151 0.00387 0.00090 0.00000 0.00627 7 2.609 3.000 0.00151 0.00387 0.00090 0.00000 0.00627 9 3.478 4.000 0.00151 0.00387 0.00090 0.00000 0.00627 11 4.348 5.000 0.00151 0.00387 0.00090 0.00000 0.00627 13 5.217 6.000 0.00151 0.00387 0.00090 0.00000 0.00627 15 6.087 7.000 0.00151 0.00387 0.00090 0.00000 0.00627 17 6.956 8.000 0.00151 0.00387 0.00090 0.00000 0.00627 19 7.826 9.000 0.00151 0.00387 0.00090 0.00000 0.00627 21 8.695 10.000 0.00151 0.00387 0.00090 0.00000 0.00627 Summary of Inherent Optical Properties at 495.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0792 0.7904 0.8695 0.9090 0.00627 0.00794 3 0.870 1.000 0.0792 0.7904 0.8695 0.9090 0.00627 0.00794 5 1.739 2.000 0.0792 0.7904 0.8695 0.9090 0.00627 0.00794 7 2.609 3.000 0.0792 0.7904 0.8695 0.9090 0.00627 0.00794 9 3.478 4.000 0.0792 0.7904 0.8695 0.9090 0.00627 0.00794 11 4.348 5.000 0.0792 0.7904 0.8695 0.9090 0.00627 0.00794 13 5.217 6.000 0.0792 0.7904 0.8695 0.9090 0.00627 0.00794 15 6.087 7.000 0.0792 0.7904 0.8695 0.9090 0.00627 0.00794 17 6.956 8.000 0.0792 0.7904 0.8695 0.9090 0.00627 0.00794 19 7.826 9.000 0.0792 0.7904 0.8695 0.9090 0.00627 0.00794 21 8.695 10.000 0.0792 0.7904 0.8695 0.9090 0.00627 0.00794 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5860E-01 8 20.00 8.5487E-01 7 30.00 7.1056E-01 6 40.00 5.5384E-01 5 50.00 4.0840E-01 4 60.00 2.8820E-01 3 70.00 1.9738E-01 2 80.00 1.3383E-01 1 87.50 9.8814E-02 1 92.50 7.8531E-02 2 100.00 5.8543E-02 3 110.00 4.1406E-02 4 120.00 3.0346E-02 5 130.00 2.3361E-02 6 140.00 1.8980E-02 7 150.00 1.6264E-02 8 160.00 1.4641E-02 9 170.00 1.3777E-02 10 180.00 1.3478E-02 Asymptotic AOP values are MUu(inf) = 0.3516 MUd(inf) = 0.6835 MU(inf) = 0.5911 R(inf) = 0.0505 Lu(inf)/Ed(inf) = 0.008488 (1/sr) k(inf) = 0.1339 (1/m) absorp(check) = 0.0792 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 495.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.3682E-01 2.0644E+00 2.3012E+00 7.7578E-02 1.6427E+00 0.3276 0.7957 0.6801 4.7225E-02 1 0.00 0.00 1.2206E-01 1.7686E+00 1.8907E+00 5.3652E-02 1.6207E+00 0.4396 0.9164 0.8288 3.3104E-02 3 0.87 1.00 1.2125E-01 1.6648E+00 1.7861E+00 5.1497E-02 1.4737E+00 0.4247 0.8852 0.7963 3.4944E-02 5 1.74 2.00 1.1807E-01 1.5535E+00 1.6716E+00 4.8827E-02 1.3348E+00 0.4135 0.8592 0.7693 3.6580E-02 7 2.61 3.00 1.1326E-01 1.4392E+00 1.5524E+00 4.5843E-02 1.2048E+00 0.4048 0.8372 0.7466 3.8050E-02 9 3.48 4.00 1.0737E-01 1.3250E+00 1.4324E+00 4.2690E-02 1.0841E+00 0.3976 0.8182 0.7270 3.9379E-02 11 4.35 5.00 1.0081E-01 1.2133E+00 1.3141E+00 3.9476E-02 9.7263E-01 0.3916 0.8016 0.7101 4.0587E-02 13 5.22 6.00 9.3869E-02 1.1057E+00 1.1996E+00 3.6281E-02 8.7038E-01 0.3865 0.7872 0.6953 4.1684E-02 15 6.09 7.00 8.6787E-02 1.0033E+00 1.0901E+00 3.3163E-02 7.7702E-01 0.3821 0.7744 0.6824 4.2679E-02 17 6.96 8.00 7.9736E-02 9.0685E-01 9.8659E-01 3.0165E-02 6.9218E-01 0.3783 0.7633 0.6710 4.3580E-02 19 7.83 9.00 7.2848E-02 8.1676E-01 8.8961E-01 2.7319E-02 6.1538E-01 0.3750 0.7534 0.6610 4.4393E-02 21 8.70 10.00 6.6224E-02 7.3325E-01 7.9948E-01 2.4644E-02 5.4613E-01 0.3721 0.7448 0.6523 4.5124E-02 K-functions (units of 1/meter) at 495.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 -0.00678 0.05512 0.05112 0.03364 0.09299 0.09502 0.08216 1.000 1.010 1.005 0.01785 0.06520 0.06199 0.04769 0.09714 0.09893 0.08777 2.000 2.010 2.005 0.03481 0.07307 0.07037 0.05853 0.10081 0.10241 0.09264 3.000 3.010 3.005 0.04797 0.07973 0.07741 0.06744 0.10411 0.10556 0.09694 4.000 4.010 4.005 0.05858 0.08549 0.08347 0.07497 0.10710 0.10842 0.10080 5.000 5.010 5.005 0.06745 0.09057 0.08880 0.08150 0.10982 0.11102 0.10429 6.000 6.010 6.005 0.07507 0.09512 0.09355 0.08726 0.11231 0.11340 0.10745 7.000 7.010 7.005 0.08175 0.09922 0.09783 0.09241 0.11458 0.11557 0.11033 8.000 8.010 8.005 0.08767 0.10294 0.10171 0.09703 0.11665 0.11755 0.11294 9.000 9.010 9.005 0.09296 0.10631 0.10522 0.10118 0.11853 0.11934 0.11531 10.000 10.010 10.005 0.09768 0.10936 0.10840 0.10491 0.12024 0.12096 0.11744 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 495.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 4.95942E-01 6.97792E-03 1.04358E-02 1.74137E-02 4.24780E-03 0.021042 9 1 10.0 0.0 180.0 2.17434E-01 7.01026E-03 4.59041E-03 1.16007E-02 4.26749E-03 0.021112 9 4 10.0 45.0 135.0 2.43024E-01 7.01059E-03 5.13154E-03 1.21421E-02 4.26768E-03 0.021115 9 7 10.0 90.0 90.0 3.39492E-01 7.00967E-03 7.17025E-03 1.41799E-02 4.26713E-03 0.021121 8 1 20.0 0.0 180.0 1.29986E-01 7.10914E-03 2.77441E-03 9.88355E-03 4.32767E-03 0.021344 8 4 20.0 45.0 135.0 1.45050E-01 7.09440E-03 3.09588E-03 1.01903E-02 4.31870E-03 0.021344 8 7 20.0 90.0 90.0 2.03842E-01 7.12181E-03 4.35081E-03 1.14726E-02 4.33539E-03 0.021344 7 1 30.0 0.0 180.0 9.15874E-02 7.30097E-03 2.04496E-03 9.34593E-03 4.44445E-03 0.022328 7 4 30.0 45.0 135.0 1.00018E-01 7.32471E-03 2.23322E-03 9.55794E-03 4.45891E-03 0.022328 7 7 30.0 90.0 90.0 1.31479E-01 7.39498E-03 2.93532E-03 1.03303E-02 4.50168E-03 0.022325 6 1 40.0 0.0 180.0 7.52361E-02 7.44452E-03 1.93036E-03 9.37488E-03 4.53184E-03 0.025657 6 4 40.0 45.0 135.0 8.05540E-02 7.47775E-03 2.06699E-03 9.54474E-03 4.55207E-03 0.025660 6 7 40.0 90.0 90.0 9.88868E-02 7.55637E-03 2.53735E-03 1.00937E-02 4.59993E-03 0.025659 5 1 50.0 0.0 180.0 6.96856E-02 7.67498E-03 2.47262E-03 1.01476E-02 4.67213E-03 0.035482 5 4 50.0 45.0 135.0 7.36002E-02 7.70344E-03 2.61301E-03 1.03164E-02 4.68945E-03 0.035503 5 7 50.0 90.0 90.0 8.61753E-02 7.88835E-03 3.05931E-03 1.09477E-02 4.80202E-03 0.035501 4 1 60.0 0.0 180.0 7.22798E-02 7.77064E-03 4.56866E-03 1.23393E-02 4.73036E-03 0.063208 4 4 60.0 45.0 135.0 7.54053E-02 7.85680E-03 4.76617E-03 1.26230E-02 4.78281E-03 0.063207 4 7 60.0 90.0 90.0 8.53139E-02 7.98932E-03 5.39178E-03 1.33811E-02 4.86348E-03 0.063199 3 1 70.0 0.0 180.0 8.66841E-02 7.48500E-03 1.22630E-02 1.97480E-02 4.55648E-03 0.141467 3 4 70.0 45.0 135.0 8.89752E-02 7.51302E-03 1.25713E-02 2.00843E-02 4.57354E-03 0.141290 3 7 70.0 90.0 90.0 9.70351E-02 7.70157E-03 1.37241E-02 2.14256E-02 4.68832E-03 0.141434 2 1 80.0 0.0 180.0 1.29267E-01 5.62701E-03 4.75165E-02 5.31436E-02 3.42543E-03 0.367584 2 4 80.0 45.0 135.0 1.29891E-01 5.68386E-03 4.77140E-02 5.33979E-02 3.46004E-03 0.367340 2 7 80.0 90.0 90.0 1.35052E-01 5.87145E-03 4.96470E-02 5.55184E-02 3.57424E-03 0.367613 1 1 87.5 0.0 180.0 1.94874E-01 2.55189E-03 1.50658E-01 1.53210E-01 1.55346E-03 0.773106 1 4 87.5 45.0 135.0 1.92540E-01 2.66978E-03 1.48861E-01 1.51531E-01 1.62522E-03 0.773143 1 7 87.5 90.0 90.0 1.92182E-01 2.72932E-03 1.48474E-01 1.51204E-01 1.66147E-03 0.772570 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 495.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.741E-02 4.959E-01 1.740E-01 1.717E-01 1.832E-01 1.060E-02 4.455E+00 6.978E-03 4.248E-03 1 0.00 0.00 1.283E-02 5.631E+00 2.234E-02 2.500E-02 2.976E-02 7.917E-03 4.181E+00 3 0.87 1.00 1.179E-02 4.667E+00 2.451E-02 2.833E-02 3.503E-02 7.997E-03 4.369E+00 5 1.74 2.00 1.077E-02 3.749E+00 2.556E-02 3.007E-02 3.791E-02 8.068E-03 4.534E+00 7 2.61 3.00 9.795E-03 2.970E+00 2.579E-02 3.071E-02 3.926E-02 8.130E-03 4.680E+00 9 3.48 4.00 8.873E-03 2.342E+00 2.542E-02 3.056E-02 3.943E-02 8.185E-03 4.811E+00 11 4.35 5.00 8.008E-03 1.849E+00 2.466E-02 2.983E-02 3.872E-02 8.233E-03 4.930E+00 13 5.22 6.00 7.203E-03 1.466E+00 2.363E-02 2.871E-02 3.735E-02 8.276E-03 5.037E+00 15 6.09 7.00 6.460E-03 1.171E+00 2.242E-02 2.730E-02 3.549E-02 8.314E-03 5.133E+00 17 6.96 8.00 5.778E-03 9.418E-01 2.111E-02 2.571E-02 3.331E-02 8.347E-03 5.221E+00 19 7.83 9.00 5.154E-03 7.638E-01 1.973E-02 2.400E-02 3.093E-02 8.376E-03 5.300E+00 21 8.70 10.00 4.588E-03 6.243E-01 1.834E-02 2.225E-02 2.845E-02 8.401E-03 5.371E+00 Waveband 15 of 40 completed in 3.8 sec. * * * * * Output for wavelength band 16 (500.0 to 510.0 nm; nominal wavelength = 505.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 33.0 m at 505.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 500.0 nm to 510.0 nm: Ed(diffuse) = 4.463E-01 Ed(direct) = 1.167E+00 Ed(total) = 1.614E+00 Absorption Coefficients of Individual Components at 505.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0256 0.0455 0.0000 0.0071 0.0782 3 0.868 1.000 0.0256 0.0455 0.0000 0.0071 0.0782 5 1.737 2.000 0.0256 0.0455 0.0000 0.0071 0.0782 7 2.605 3.000 0.0256 0.0455 0.0000 0.0071 0.0782 9 3.473 4.000 0.0256 0.0455 0.0000 0.0071 0.0782 11 4.342 5.000 0.0256 0.0455 0.0000 0.0071 0.0782 13 5.210 6.000 0.0256 0.0455 0.0000 0.0071 0.0782 15 6.079 7.000 0.0256 0.0455 0.0000 0.0071 0.0782 17 6.947 8.000 0.0256 0.0455 0.0000 0.0071 0.0782 19 7.815 9.000 0.0256 0.0455 0.0000 0.0071 0.0782 21 8.684 10.000 0.0256 0.0455 0.0000 0.0071 0.0782 Scattering Coefficients of Individual Components at 505.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0028 0.2757 0.5116 0.0000 0.7901 3 0.868 1.000 0.0028 0.2757 0.5116 0.0000 0.7901 5 1.737 2.000 0.0028 0.2757 0.5116 0.0000 0.7901 7 2.605 3.000 0.0028 0.2757 0.5116 0.0000 0.7901 9 3.473 4.000 0.0028 0.2757 0.5116 0.0000 0.7901 11 4.342 5.000 0.0028 0.2757 0.5116 0.0000 0.7901 13 5.210 6.000 0.0028 0.2757 0.5116 0.0000 0.7901 15 6.079 7.000 0.0028 0.2757 0.5116 0.0000 0.7901 17 6.947 8.000 0.0028 0.2757 0.5116 0.0000 0.7901 19 7.815 9.000 0.0028 0.2757 0.5116 0.0000 0.7901 21 8.684 10.000 0.0028 0.2757 0.5116 0.0000 0.7901 Backscattering Coefficients of Individual Components at 505.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00138 0.00387 0.00090 0.00000 0.00615 3 0.868 1.000 0.00138 0.00387 0.00090 0.00000 0.00615 5 1.737 2.000 0.00138 0.00387 0.00090 0.00000 0.00615 7 2.605 3.000 0.00138 0.00387 0.00090 0.00000 0.00615 9 3.473 4.000 0.00138 0.00387 0.00090 0.00000 0.00615 11 4.342 5.000 0.00138 0.00387 0.00090 0.00000 0.00615 13 5.210 6.000 0.00138 0.00387 0.00090 0.00000 0.00615 15 6.079 7.000 0.00138 0.00387 0.00090 0.00000 0.00615 17 6.947 8.000 0.00138 0.00387 0.00090 0.00000 0.00615 19 7.815 9.000 0.00138 0.00387 0.00090 0.00000 0.00615 21 8.684 10.000 0.00138 0.00387 0.00090 0.00000 0.00615 Summary of Inherent Optical Properties at 505.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0782 0.7901 0.8684 0.9099 0.00615 0.00778 3 0.868 1.000 0.0782 0.7901 0.8684 0.9099 0.00615 0.00778 5 1.737 2.000 0.0782 0.7901 0.8684 0.9099 0.00615 0.00778 7 2.605 3.000 0.0782 0.7901 0.8684 0.9099 0.00615 0.00778 9 3.473 4.000 0.0782 0.7901 0.8684 0.9099 0.00615 0.00778 11 4.342 5.000 0.0782 0.7901 0.8684 0.9099 0.00615 0.00778 13 5.210 6.000 0.0782 0.7901 0.8684 0.9099 0.00615 0.00778 15 6.079 7.000 0.0782 0.7901 0.8684 0.9099 0.00615 0.00778 17 6.947 8.000 0.0782 0.7901 0.8684 0.9099 0.00615 0.00778 19 7.815 9.000 0.0782 0.7901 0.8684 0.9099 0.00615 0.00778 21 8.684 10.000 0.0782 0.7901 0.8684 0.9099 0.00615 0.00778 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5884E-01 8 20.00 8.5567E-01 7 30.00 7.1199E-01 6 40.00 5.5572E-01 5 50.00 4.1043E-01 4 60.00 2.9011E-01 3 70.00 1.9900E-01 2 80.00 1.3509E-01 1 87.50 9.9809E-02 1 92.50 7.9335E-02 2 100.00 5.9139E-02 3 110.00 4.1800E-02 4 120.00 3.0594E-02 5 130.00 2.3507E-02 6 140.00 1.9059E-02 7 150.00 1.6299E-02 8 160.00 1.4649E-02 9 170.00 1.3770E-02 10 180.00 1.3467E-02 Asymptotic AOP values are MUu(inf) = 0.3510 MUd(inf) = 0.6828 MU(inf) = 0.5901 R(inf) = 0.0506 Lu(inf)/Ed(inf) = 0.008455 (1/sr) k(inf) = 0.1326 (1/m) absorp(check) = 0.0782 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 505.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.2784E-01 2.0164E+00 2.2442E+00 7.5543E-02 1.6136E+00 0.3316 0.8002 0.6853 4.6817E-02 1 0.00 0.00 1.1963E-01 1.7360E+00 1.8556E+00 5.2563E-02 1.5925E+00 0.4394 0.9173 0.8299 3.3007E-02 3 0.87 1.00 1.1904E-01 1.6361E+00 1.7552E+00 5.0540E-02 1.4499E+00 0.4246 0.8862 0.7973 3.4857E-02 5 1.74 2.00 1.1613E-01 1.5288E+00 1.6449E+00 4.8007E-02 1.3150E+00 0.4134 0.8601 0.7702 3.6507E-02 7 2.61 3.00 1.1162E-01 1.4183E+00 1.5299E+00 4.5157E-02 1.1885E+00 0.4046 0.8380 0.7473 3.7994E-02 9 3.47 4.00 1.0603E-01 1.3078E+00 1.4138E+00 4.2130E-02 1.0709E+00 0.3974 0.8189 0.7276 3.9341E-02 11 4.34 5.00 9.9741E-02 1.1994E+00 1.2991E+00 3.9031E-02 9.6215E-01 0.3913 0.8022 0.7106 4.0567E-02 13 5.21 6.00 9.3058E-02 1.0947E+00 1.1878E+00 3.5938E-02 8.6221E-01 0.3862 0.7876 0.6956 4.1681E-02 15 6.08 7.00 8.6202E-02 9.9488E-01 1.0811E+00 3.2909E-02 7.7081E-01 0.3818 0.7748 0.6826 4.2694E-02 17 6.95 8.00 7.9347E-02 9.0062E-01 9.7996E-01 2.9988E-02 6.8762E-01 0.3779 0.7635 0.6711 4.3611E-02 19 7.82 9.00 7.2625E-02 8.1239E-01 8.8501E-01 2.7205E-02 6.1219E-01 0.3746 0.7536 0.6610 4.4439E-02 21 8.68 10.00 6.6139E-02 7.3045E-01 7.9659E-01 2.4583E-02 5.4406E-01 0.3717 0.7448 0.6521 4.5184E-02 K-functions (units of 1/meter) at 505.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 -0.00827 0.05402 0.05000 0.03199 0.09174 0.09378 0.08063 1.000 1.010 1.005 0.01605 0.06391 0.06066 0.04590 0.09583 0.09764 0.08620 2.000 2.010 2.005 0.03288 0.07166 0.06892 0.05667 0.09947 0.10109 0.09105 3.000 3.010 3.005 0.04598 0.07825 0.07589 0.06556 0.10274 0.10421 0.09535 4.000 4.010 4.005 0.05659 0.08397 0.08191 0.07309 0.10571 0.10705 0.09921 5.000 5.010 5.005 0.06547 0.08903 0.08722 0.07964 0.10843 0.10964 0.10271 6.000 6.010 6.005 0.07313 0.09357 0.09197 0.08544 0.11091 0.11202 0.10589 7.000 7.010 7.005 0.07986 0.09767 0.09625 0.09062 0.11318 0.11418 0.10878 8.000 8.010 8.005 0.08582 0.10140 0.10014 0.09527 0.11525 0.11616 0.11141 9.000 9.010 9.005 0.09115 0.10478 0.10366 0.09946 0.11713 0.11795 0.11379 10.000 10.010 10.005 0.09592 0.10784 0.10685 0.10323 0.11883 0.11957 0.11594 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 505.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 4.72588E-01 6.81357E-03 9.94433E-03 1.67579E-02 4.22264E-03 0.021042 9 1 10.0 0.0 180.0 2.07195E-01 6.84294E-03 4.37420E-03 1.12171E-02 4.24084E-03 0.021112 9 4 10.0 45.0 135.0 2.31583E-01 6.84428E-03 4.88995E-03 1.17342E-02 4.24167E-03 0.021115 9 7 10.0 90.0 90.0 3.23485E-01 6.84602E-03 6.83224E-03 1.36783E-02 4.24274E-03 0.021121 8 1 20.0 0.0 180.0 1.23865E-01 6.93986E-03 2.64376E-03 9.58362E-03 4.30090E-03 0.021344 8 4 20.0 45.0 135.0 1.38219E-01 6.92713E-03 2.95009E-03 9.87721E-03 4.29301E-03 0.021344 8 7 20.0 90.0 90.0 1.94243E-01 6.95810E-03 4.14593E-03 1.11040E-02 4.31221E-03 0.021344 7 1 30.0 0.0 180.0 8.72744E-02 7.12794E-03 1.94866E-03 9.07660E-03 4.41746E-03 0.022328 7 4 30.0 45.0 135.0 9.53083E-02 7.15336E-03 2.12806E-03 9.28142E-03 4.43322E-03 0.022328 7 7 30.0 90.0 90.0 1.25287E-01 7.22767E-03 2.79709E-03 1.00248E-02 4.47927E-03 0.022325 6 1 40.0 0.0 180.0 7.16931E-02 7.27165E-03 1.83946E-03 9.11111E-03 4.50652E-03 0.025657 6 4 40.0 45.0 135.0 7.67606E-02 7.30732E-03 1.96965E-03 9.27697E-03 4.52863E-03 0.025660 6 7 40.0 90.0 90.0 9.42300E-02 7.39230E-03 2.41786E-03 9.81016E-03 4.58129E-03 0.025659 5 1 50.0 0.0 180.0 6.64040E-02 7.49916E-03 2.35618E-03 9.85533E-03 4.64752E-03 0.035482 5 4 50.0 45.0 135.0 7.01343E-02 7.53068E-03 2.48996E-03 1.00206E-02 4.66705E-03 0.035503 5 7 50.0 90.0 90.0 8.21171E-02 7.72110E-03 2.91524E-03 1.06363E-02 4.78507E-03 0.035501 4 1 60.0 0.0 180.0 6.88760E-02 7.59543E-03 4.35351E-03 1.19489E-02 4.70719E-03 0.063208 4 4 60.0 45.0 135.0 7.18543E-02 7.68394E-03 4.54172E-03 1.22257E-02 4.76204E-03 0.063207 4 7 60.0 90.0 90.0 8.12963E-02 7.82459E-03 5.13787E-03 1.29625E-02 4.84920E-03 0.063199 3 1 70.0 0.0 180.0 8.26020E-02 7.31755E-03 1.16855E-02 1.90030E-02 4.53497E-03 0.141467 3 4 70.0 45.0 135.0 8.47852E-02 7.34926E-03 1.19793E-02 1.93286E-02 4.55462E-03 0.141290 3 7 70.0 90.0 90.0 9.24656E-02 7.54491E-03 1.30778E-02 2.06227E-02 4.67587E-03 0.141434 2 1 80.0 0.0 180.0 1.23180E-01 5.50359E-03 4.52789E-02 5.07825E-02 3.41079E-03 0.367584 2 4 80.0 45.0 135.0 1.23774E-01 5.56283E-03 4.54671E-02 5.10299E-02 3.44750E-03 0.367340 2 7 80.0 90.0 90.0 1.28692E-01 5.75594E-03 4.73090E-02 5.30649E-02 3.56718E-03 0.367613 1 1 87.5 0.0 180.0 1.85697E-01 2.49592E-03 1.43563E-01 1.46059E-01 1.54682E-03 0.773106 1 4 87.5 45.0 135.0 1.83473E-01 2.61293E-03 1.41851E-01 1.44464E-01 1.61934E-03 0.773143 1 7 87.5 90.0 90.0 1.83132E-01 2.67563E-03 1.41482E-01 1.44158E-01 1.65819E-03 0.772570 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 505.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.676E-02 4.726E-01 1.659E-01 1.636E-01 1.746E-01 1.039E-02 4.508E+00 6.814E-03 4.223E-03 1 0.00 0.00 1.253E-02 5.563E+00 2.183E-02 2.449E-02 2.924E-02 7.868E-03 4.195E+00 3 0.87 1.00 1.153E-02 4.618E+00 2.396E-02 2.777E-02 3.445E-02 7.950E-03 4.385E+00 5 1.74 2.00 1.055E-02 3.715E+00 2.503E-02 2.953E-02 3.735E-02 8.022E-03 4.551E+00 7 2.61 3.00 9.610E-03 2.946E+00 2.530E-02 3.022E-02 3.875E-02 8.085E-03 4.699E+00 9 3.47 4.00 8.719E-03 2.325E+00 2.500E-02 3.014E-02 3.902E-02 8.142E-03 4.832E+00 11 4.34 5.00 7.881E-03 1.837E+00 2.431E-02 2.949E-02 3.840E-02 8.191E-03 4.952E+00 13 5.21 6.00 7.101E-03 1.459E+00 2.334E-02 2.844E-02 3.712E-02 8.235E-03 5.061E+00 15 6.08 7.00 6.378E-03 1.166E+00 2.220E-02 2.710E-02 3.535E-02 8.274E-03 5.160E+00 17 6.95 8.00 5.713E-03 9.386E-01 2.094E-02 2.558E-02 3.324E-02 8.308E-03 5.249E+00 19 7.82 9.00 5.105E-03 7.618E-01 1.962E-02 2.393E-02 3.092E-02 8.338E-03 5.330E+00 21 8.68 10.00 4.551E-03 6.233E-01 1.827E-02 2.222E-02 2.850E-02 8.364E-03 5.402E+00 Waveband 16 of 40 completed in 3.8 sec. * * * * * Output for wavelength band 17 (510.0 to 520.0 nm; nominal wavelength = 515.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 33.0 m at 515.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 510.0 nm to 520.0 nm: Ed(diffuse) = 4.175E-01 Ed(direct) = 1.136E+00 Ed(total) = 1.553E+00 Absorption Coefficients of Individual Components at 515.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0396 0.0382 0.0000 0.0062 0.0840 3 0.874 1.000 0.0396 0.0382 0.0000 0.0062 0.0840 5 1.748 2.000 0.0396 0.0382 0.0000 0.0062 0.0840 7 2.622 3.000 0.0396 0.0382 0.0000 0.0062 0.0840 9 3.496 4.000 0.0396 0.0382 0.0000 0.0062 0.0840 11 4.369 5.000 0.0396 0.0382 0.0000 0.0062 0.0840 13 5.243 6.000 0.0396 0.0382 0.0000 0.0062 0.0840 15 6.117 7.000 0.0396 0.0382 0.0000 0.0062 0.0840 17 6.991 8.000 0.0396 0.0382 0.0000 0.0062 0.0840 19 7.865 9.000 0.0396 0.0382 0.0000 0.0062 0.0840 21 8.739 10.000 0.0396 0.0382 0.0000 0.0062 0.0840 Scattering Coefficients of Individual Components at 515.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0025 0.2757 0.5116 0.0000 0.7899 3 0.874 1.000 0.0025 0.2757 0.5116 0.0000 0.7899 5 1.748 2.000 0.0025 0.2757 0.5116 0.0000 0.7899 7 2.622 3.000 0.0025 0.2757 0.5116 0.0000 0.7899 9 3.496 4.000 0.0025 0.2757 0.5116 0.0000 0.7899 11 4.369 5.000 0.0025 0.2757 0.5116 0.0000 0.7899 13 5.243 6.000 0.0025 0.2757 0.5116 0.0000 0.7899 15 6.117 7.000 0.0025 0.2757 0.5116 0.0000 0.7899 17 6.991 8.000 0.0025 0.2757 0.5116 0.0000 0.7899 19 7.865 9.000 0.0025 0.2757 0.5116 0.0000 0.7899 21 8.739 10.000 0.0025 0.2757 0.5116 0.0000 0.7899 Backscattering Coefficients of Individual Components at 515.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00127 0.00387 0.00090 0.00000 0.00604 3 0.874 1.000 0.00127 0.00387 0.00090 0.00000 0.00604 5 1.748 2.000 0.00127 0.00387 0.00090 0.00000 0.00604 7 2.622 3.000 0.00127 0.00387 0.00090 0.00000 0.00604 9 3.496 4.000 0.00127 0.00387 0.00090 0.00000 0.00604 11 4.369 5.000 0.00127 0.00387 0.00090 0.00000 0.00604 13 5.243 6.000 0.00127 0.00387 0.00090 0.00000 0.00604 15 6.117 7.000 0.00127 0.00387 0.00090 0.00000 0.00604 17 6.991 8.000 0.00127 0.00387 0.00090 0.00000 0.00604 19 7.865 9.000 0.00127 0.00387 0.00090 0.00000 0.00604 21 8.739 10.000 0.00127 0.00387 0.00090 0.00000 0.00604 Summary of Inherent Optical Properties at 515.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0840 0.7899 0.8739 0.9039 0.00604 0.00764 3 0.874 1.000 0.0840 0.7899 0.8739 0.9039 0.00604 0.00764 5 1.748 2.000 0.0840 0.7899 0.8739 0.9039 0.00604 0.00764 7 2.622 3.000 0.0840 0.7899 0.8739 0.9039 0.00604 0.00764 9 3.496 4.000 0.0840 0.7899 0.8739 0.9039 0.00604 0.00764 11 4.369 5.000 0.0840 0.7899 0.8739 0.9039 0.00604 0.00764 13 5.243 6.000 0.0840 0.7899 0.8739 0.9039 0.00604 0.00764 15 6.117 7.000 0.0840 0.7899 0.8739 0.9039 0.00604 0.00764 17 6.991 8.000 0.0840 0.7899 0.8739 0.9039 0.00604 0.00764 19 7.865 9.000 0.0840 0.7899 0.8739 0.9039 0.00604 0.00764 21 8.739 10.000 0.0840 0.7899 0.8739 0.9039 0.00604 0.00764 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5730E-01 8 20.00 8.5059E-01 7 30.00 7.0285E-01 6 40.00 5.4355E-01 5 50.00 3.9702E-01 4 60.00 2.7718E-01 3 70.00 1.8766E-01 2 80.00 1.2577E-01 1 87.50 9.2054E-02 1 92.50 7.2697E-02 2 100.00 5.3752E-02 3 110.00 3.7654E-02 4 120.00 2.7367E-02 5 130.00 2.0927E-02 6 140.00 1.6919E-02 7 150.00 1.4450E-02 8 160.00 1.2981E-02 9 170.00 1.2202E-02 10 180.00 1.1933E-02 Asymptotic AOP values are MUu(inf) = 0.3481 MUd(inf) = 0.6883 MU(inf) = 0.6015 R(inf) = 0.0463 Lu(inf)/Ed(inf) = 0.007646 (1/sr) k(inf) = 0.1396 (1/m) absorp(check) = 0.0840 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 515.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.1137E-01 1.9311E+00 2.1425E+00 7.0123E-02 1.5534E+00 0.3318 0.8044 0.6923 4.5141E-02 1 0.00 0.00 1.0517E-01 1.6629E+00 1.7681E+00 4.5997E-02 1.5312E+00 0.4374 0.9208 0.8400 3.0040E-02 3 0.87 1.00 1.0435E-01 1.5579E+00 1.6623E+00 4.4037E-02 1.3858E+00 0.4220 0.8895 0.8072 3.1777E-02 5 1.75 2.00 1.0136E-01 1.4466E+00 1.5480E+00 4.1622E-02 1.2492E+00 0.4106 0.8636 0.7801 3.3318E-02 7 2.62 3.00 9.6939E-02 1.3334E+00 1.4304E+00 3.8939E-02 1.1221E+00 0.4017 0.8415 0.7573 3.4702E-02 9 3.50 4.00 9.1579E-02 1.2214E+00 1.3130E+00 3.6122E-02 1.0046E+00 0.3944 0.8225 0.7376 3.5955E-02 11 4.37 5.00 8.5654E-02 1.1127E+00 1.1984E+00 3.3267E-02 8.9683E-01 0.3884 0.8060 0.7206 3.7094E-02 13 5.24 6.00 7.9436E-02 1.0087E+00 1.0882E+00 3.0443E-02 7.9844E-01 0.3832 0.7915 0.7058 3.8128E-02 15 6.12 7.00 7.3130E-02 9.1050E-01 9.8363E-01 2.7703E-02 7.0911E-01 0.3788 0.7788 0.6927 3.9068E-02 17 6.99 8.00 6.6889E-02 8.1857E-01 8.8546E-01 2.5083E-02 6.2837E-01 0.3750 0.7676 0.6813 3.9918E-02 19 7.86 9.00 6.0828E-02 7.3328E-01 7.9411E-01 2.2608E-02 5.5569E-01 0.3717 0.7578 0.6713 4.0685E-02 21 8.74 10.00 5.5033E-02 6.5474E-01 7.0977E-01 2.0295E-02 4.9051E-01 0.3688 0.7492 0.6625 4.1374E-02 K-functions (units of 1/meter) at 515.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 -0.00686 0.05966 0.05570 0.03566 0.09755 0.09947 0.08603 1.000 1.010 1.005 0.01983 0.07007 0.06691 0.05061 0.10184 0.10353 0.09189 2.000 2.010 2.005 0.03763 0.07806 0.07541 0.06192 0.10563 0.10713 0.09693 3.000 3.010 3.005 0.05127 0.08479 0.08252 0.07115 0.10903 0.11039 0.10140 4.000 4.010 4.005 0.06224 0.09062 0.08864 0.07894 0.11211 0.11334 0.10540 5.000 5.010 5.005 0.07138 0.09576 0.09402 0.08568 0.11491 0.11604 0.10901 6.000 6.010 6.005 0.07924 0.10037 0.09883 0.09164 0.11748 0.11850 0.11230 7.000 7.010 7.005 0.08613 0.10454 0.10317 0.09695 0.11981 0.12074 0.11528 8.000 8.010 8.005 0.09223 0.10831 0.10710 0.10173 0.12194 0.12279 0.11799 9.000 9.010 9.005 0.09767 0.11173 0.11066 0.10601 0.12388 0.12464 0.12044 10.000 10.010 10.005 0.10254 0.11483 0.11387 0.10987 0.12563 0.12631 0.12265 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 515.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 4.42126E-01 5.93644E-03 9.30334E-03 1.52398E-02 3.82151E-03 0.021042 9 1 10.0 0.0 180.0 1.93840E-01 5.96306E-03 4.09222E-03 1.00553E-02 3.83865E-03 0.021111 9 4 10.0 45.0 135.0 2.16658E-01 5.96356E-03 4.57481E-03 1.05384E-02 3.83897E-03 0.021115 9 7 10.0 90.0 90.0 3.02616E-01 5.96397E-03 6.39152E-03 1.23555E-02 3.83924E-03 0.021121 8 1 20.0 0.0 180.0 1.15881E-01 6.04720E-03 2.47335E-03 8.52055E-03 3.89282E-03 0.021344 8 4 20.0 45.0 135.0 1.29310E-01 6.03526E-03 2.75993E-03 8.79519E-03 3.88513E-03 0.021344 8 7 20.0 90.0 90.0 1.81722E-01 6.06066E-03 3.87869E-03 9.93935E-03 3.90148E-03 0.021344 7 1 30.0 0.0 180.0 8.16489E-02 6.21065E-03 1.82306E-03 8.03370E-03 3.99803E-03 0.022328 7 4 30.0 45.0 135.0 8.91649E-02 6.23184E-03 1.99089E-03 8.22273E-03 4.01168E-03 0.022328 7 7 30.0 90.0 90.0 1.17211E-01 6.29459E-03 2.61679E-03 8.91139E-03 4.05207E-03 0.022325 6 1 40.0 0.0 180.0 6.70719E-02 6.33527E-03 1.72089E-03 8.05616E-03 4.07826E-03 0.025657 6 4 40.0 45.0 135.0 7.18128E-02 6.36526E-03 1.84269E-03 8.20795E-03 4.09756E-03 0.025660 6 7 40.0 90.0 90.0 8.81562E-02 6.43714E-03 2.26201E-03 8.69916E-03 4.14384E-03 0.025659 5 1 50.0 0.0 180.0 6.21237E-02 6.53438E-03 2.20430E-03 8.73868E-03 4.20643E-03 0.035482 5 4 50.0 45.0 135.0 6.56136E-02 6.56083E-03 2.32946E-03 8.89029E-03 4.22346E-03 0.035503 5 7 50.0 90.0 90.0 7.68240E-02 6.72502E-03 2.72733E-03 9.45235E-03 4.32915E-03 0.035501 4 1 60.0 0.0 180.0 6.44364E-02 6.61933E-03 4.07290E-03 1.06922E-02 4.26111E-03 0.063208 4 4 60.0 45.0 135.0 6.72227E-02 6.69555E-03 4.24897E-03 1.09445E-02 4.31018E-03 0.063207 4 7 60.0 90.0 90.0 7.60561E-02 6.81695E-03 4.80670E-03 1.16236E-02 4.38833E-03 0.063199 3 1 70.0 0.0 180.0 7.72776E-02 6.37937E-03 1.09323E-02 1.73116E-02 4.10665E-03 0.141467 3 4 70.0 45.0 135.0 7.93201E-02 6.40637E-03 1.12072E-02 1.76135E-02 4.12403E-03 0.141290 3 7 70.0 90.0 90.0 8.65054E-02 6.57654E-03 1.22348E-02 1.88114E-02 4.23357E-03 0.141434 2 1 80.0 0.0 180.0 1.15240E-01 4.80213E-03 4.23603E-02 4.71624E-02 3.09132E-03 0.367584 2 4 80.0 45.0 135.0 1.15796E-01 4.85375E-03 4.25364E-02 4.73901E-02 3.12455E-03 0.367340 2 7 80.0 90.0 90.0 1.20397E-01 5.02318E-03 4.42596E-02 4.92827E-02 3.23362E-03 0.367613 1 1 87.5 0.0 180.0 1.73727E-01 2.17780E-03 1.34310E-01 1.36487E-01 1.40193E-03 0.773106 1 4 87.5 45.0 135.0 1.71647E-01 2.27987E-03 1.32707E-01 1.34987E-01 1.46764E-03 0.773143 1 7 87.5 90.0 90.0 1.71328E-01 2.33501E-03 1.32363E-01 1.34698E-01 1.50314E-03 0.772570 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 515.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.524E-02 4.421E-01 1.551E-01 1.530E-01 1.633E-01 9.810E-03 4.601E+00 5.936E-03 3.822E-03 1 0.00 0.00 1.092E-02 5.384E+00 1.933E-02 2.176E-02 2.614E-02 7.129E-03 4.214E+00 3 0.87 1.00 9.987E-03 4.446E+00 2.127E-02 2.477E-02 3.094E-02 7.206E-03 4.410E+00 5 1.75 2.00 9.087E-03 3.557E+00 2.216E-02 2.627E-02 3.346E-02 7.274E-03 4.581E+00 7 2.62 3.00 8.229E-03 2.804E+00 2.230E-02 2.677E-02 3.456E-02 7.333E-03 4.732E+00 9 3.50 4.00 7.420E-03 2.201E+00 2.191E-02 2.654E-02 3.460E-02 7.386E-03 4.868E+00 11 4.37 5.00 6.666E-03 1.729E+00 2.118E-02 2.582E-02 3.385E-02 7.433E-03 4.991E+00 13 5.24 6.00 5.968E-03 1.364E+00 2.022E-02 2.475E-02 3.251E-02 7.474E-03 5.101E+00 15 6.12 7.00 5.326E-03 1.084E+00 1.911E-02 2.344E-02 3.075E-02 7.511E-03 5.202E+00 17 6.99 8.00 4.739E-03 8.673E-01 1.791E-02 2.198E-02 2.873E-02 7.542E-03 5.292E+00 19 7.86 9.00 4.207E-03 6.996E-01 1.668E-02 2.043E-02 2.654E-02 7.570E-03 5.374E+00 21 8.74 10.00 3.725E-03 5.688E-01 1.543E-02 1.884E-02 2.429E-02 7.595E-03 5.448E+00 Waveband 17 of 40 completed in 3.9 sec. * * * * * Output for wavelength band 18 (520.0 to 530.0 nm; nominal wavelength = 525.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 33.0 m at 525.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 520.0 nm to 530.0 nm: Ed(diffuse) = 4.146E-01 Ed(direct) = 1.173E+00 Ed(total) = 1.588E+00 Absorption Coefficients of Individual Components at 525.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0417 0.0331 0.0000 0.0054 0.0802 3 0.870 1.000 0.0417 0.0331 0.0000 0.0054 0.0802 5 1.740 2.000 0.0417 0.0331 0.0000 0.0054 0.0802 7 2.610 3.000 0.0417 0.0331 0.0000 0.0054 0.0802 9 3.479 4.000 0.0417 0.0331 0.0000 0.0054 0.0802 11 4.349 5.000 0.0417 0.0331 0.0000 0.0054 0.0802 13 5.219 6.000 0.0417 0.0331 0.0000 0.0054 0.0802 15 6.089 7.000 0.0417 0.0331 0.0000 0.0054 0.0802 17 6.959 8.000 0.0417 0.0331 0.0000 0.0054 0.0802 19 7.829 9.000 0.0417 0.0331 0.0000 0.0054 0.0802 21 8.699 10.000 0.0417 0.0331 0.0000 0.0054 0.0802 Scattering Coefficients of Individual Components at 525.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0023 0.2757 0.5116 0.0000 0.7897 3 0.870 1.000 0.0023 0.2757 0.5116 0.0000 0.7897 5 1.740 2.000 0.0023 0.2757 0.5116 0.0000 0.7897 7 2.610 3.000 0.0023 0.2757 0.5116 0.0000 0.7897 9 3.479 4.000 0.0023 0.2757 0.5116 0.0000 0.7897 11 4.349 5.000 0.0023 0.2757 0.5116 0.0000 0.7897 13 5.219 6.000 0.0023 0.2757 0.5116 0.0000 0.7897 15 6.089 7.000 0.0023 0.2757 0.5116 0.0000 0.7897 17 6.959 8.000 0.0023 0.2757 0.5116 0.0000 0.7897 19 7.829 9.000 0.0023 0.2757 0.5116 0.0000 0.7897 21 8.699 10.000 0.0023 0.2757 0.5116 0.0000 0.7897 Backscattering Coefficients of Individual Components at 525.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00117 0.00387 0.00090 0.00000 0.00594 3 0.870 1.000 0.00117 0.00387 0.00090 0.00000 0.00594 5 1.740 2.000 0.00117 0.00387 0.00090 0.00000 0.00594 7 2.610 3.000 0.00117 0.00387 0.00090 0.00000 0.00594 9 3.479 4.000 0.00117 0.00387 0.00090 0.00000 0.00594 11 4.349 5.000 0.00117 0.00387 0.00090 0.00000 0.00594 13 5.219 6.000 0.00117 0.00387 0.00090 0.00000 0.00594 15 6.089 7.000 0.00117 0.00387 0.00090 0.00000 0.00594 17 6.959 8.000 0.00117 0.00387 0.00090 0.00000 0.00594 19 7.829 9.000 0.00117 0.00387 0.00090 0.00000 0.00594 21 8.699 10.000 0.00117 0.00387 0.00090 0.00000 0.00594 Summary of Inherent Optical Properties at 525.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0802 0.7897 0.8699 0.9079 0.00594 0.00752 3 0.870 1.000 0.0802 0.7897 0.8699 0.9079 0.00594 0.00752 5 1.740 2.000 0.0802 0.7897 0.8699 0.9079 0.00594 0.00752 7 2.610 3.000 0.0802 0.7897 0.8699 0.9079 0.00594 0.00752 9 3.479 4.000 0.0802 0.7897 0.8699 0.9079 0.00594 0.00752 11 4.349 5.000 0.0802 0.7897 0.8699 0.9079 0.00594 0.00752 13 5.219 6.000 0.0802 0.7897 0.8699 0.9079 0.00594 0.00752 15 6.089 7.000 0.0802 0.7897 0.8699 0.9079 0.00594 0.00752 17 6.959 8.000 0.0802 0.7897 0.8699 0.9079 0.00594 0.00752 19 7.829 9.000 0.0802 0.7897 0.8699 0.9079 0.00594 0.00752 21 8.699 10.000 0.0802 0.7897 0.8699 0.9079 0.00594 0.00752 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5831E-01 8 20.00 8.5391E-01 7 30.00 7.0880E-01 6 40.00 5.5142E-01 5 50.00 4.0561E-01 4 60.00 2.8537E-01 3 70.00 1.9474E-01 2 80.00 1.3148E-01 1 87.50 9.6718E-02 1 92.50 7.6622E-02 2 100.00 5.6858E-02 3 110.00 3.9956E-02 4 120.00 2.9082E-02 5 130.00 2.2232E-02 6 140.00 1.7948E-02 7 150.00 1.5298E-02 8 160.00 1.3717E-02 9 170.00 1.2877E-02 10 180.00 1.2586E-02 Asymptotic AOP values are MUu(inf) = 0.3485 MUd(inf) = 0.6849 MU(inf) = 0.5952 R(inf) = 0.0484 Lu(inf)/Ed(inf) = 0.007960 (1/sr) k(inf) = 0.1347 (1/m) absorp(check) = 0.0802 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 525.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.1355E-01 1.9635E+00 2.1770E+00 7.2016E-02 1.5876E+00 0.3372 0.8085 0.6962 4.5362E-02 1 0.00 0.00 1.1170E-01 1.7017E+00 1.8134E+00 4.8938E-02 1.5664E+00 0.4381 0.9205 0.8368 3.1242E-02 3 0.87 1.00 1.1122E-01 1.6011E+00 1.7124E+00 4.7052E-02 1.4239E+00 0.4230 0.8893 0.8041 3.3044E-02 5 1.74 2.00 1.0851E-01 1.4936E+00 1.6021E+00 4.4679E-02 1.2893E+00 0.4117 0.8632 0.7769 3.4653E-02 7 2.61 3.00 1.0428E-01 1.3834E+00 1.4877E+00 4.2006E-02 1.1634E+00 0.4028 0.8410 0.7538 3.6105E-02 9 3.48 4.00 9.9018E-02 1.2735E+00 1.3725E+00 3.9165E-02 1.0465E+00 0.3955 0.8218 0.7340 3.7424E-02 11 4.35 5.00 9.3097E-02 1.1660E+00 1.2591E+00 3.6255E-02 9.3864E-01 0.3894 0.8050 0.7167 3.8625E-02 13 5.22 6.00 8.6797E-02 1.0624E+00 1.1492E+00 3.3350E-02 8.3967E-01 0.3842 0.7903 0.7016 3.9718E-02 15 6.09 7.00 8.0332E-02 9.6387E-01 1.0442E+00 3.0507E-02 7.4933E-01 0.3798 0.7774 0.6884 4.0713E-02 17 6.96 8.00 7.3868E-02 8.7101E-01 9.4487E-01 2.7766E-02 6.6724E-01 0.3759 0.7661 0.6768 4.1614E-02 19 7.83 9.00 6.7533E-02 7.8427E-01 8.5181E-01 2.5157E-02 5.9295E-01 0.3725 0.7560 0.6666 4.2427E-02 21 8.70 10.00 6.1423E-02 7.0388E-01 7.6530E-01 2.2701E-02 5.2597E-01 0.3696 0.7472 0.6576 4.3159E-02 K-functions (units of 1/meter) at 525.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 -0.00943 0.05566 0.05165 0.03183 0.09330 0.09528 0.08155 1.000 1.010 1.005 0.01576 0.06558 0.06235 0.04611 0.09743 0.09918 0.08723 2.000 2.010 2.005 0.03294 0.07332 0.07058 0.05710 0.10109 0.10267 0.09216 3.000 3.010 3.005 0.04627 0.07989 0.07754 0.06614 0.10440 0.10583 0.09655 4.000 4.010 4.005 0.05706 0.08562 0.08356 0.07382 0.10740 0.10871 0.10050 5.000 5.010 5.005 0.06612 0.09070 0.08888 0.08051 0.11016 0.11135 0.10408 6.000 6.010 6.005 0.07394 0.09527 0.09366 0.08644 0.11267 0.11376 0.10734 7.000 7.010 7.005 0.08081 0.09941 0.09798 0.09174 0.11498 0.11596 0.11030 8.000 8.010 8.005 0.08692 0.10317 0.10190 0.09651 0.11708 0.11797 0.11300 9.000 9.010 9.005 0.09237 0.10659 0.10546 0.10081 0.11899 0.11980 0.11544 10.000 10.010 10.005 0.09724 0.10968 0.10868 0.10467 0.12072 0.12145 0.11765 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 525.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 4.39052E-01 6.30358E-03 9.23867E-03 1.55423E-02 3.97058E-03 0.021042 9 1 10.0 0.0 180.0 1.92492E-01 6.32857E-03 4.06374E-03 1.03923E-02 3.98632E-03 0.021111 9 4 10.0 45.0 135.0 2.15155E-01 6.33065E-03 4.54307E-03 1.08737E-02 3.98764E-03 0.021115 9 7 10.0 90.0 90.0 3.00494E-01 6.33479E-03 6.34677E-03 1.26816E-02 3.99024E-03 0.021121 8 1 20.0 0.0 180.0 1.15075E-01 6.41830E-03 2.45616E-03 8.87446E-03 4.04284E-03 0.021344 8 4 20.0 45.0 135.0 1.28411E-01 6.40804E-03 2.74075E-03 9.14879E-03 4.03638E-03 0.021344 8 7 20.0 90.0 90.0 1.80459E-01 6.44085E-03 3.85173E-03 1.02926E-02 4.05705E-03 0.021344 7 1 30.0 0.0 180.0 8.10813E-02 6.59277E-03 1.81039E-03 8.40315E-03 4.15274E-03 0.022328 7 4 30.0 45.0 135.0 8.85452E-02 6.61843E-03 1.97705E-03 8.59548E-03 4.16891E-03 0.022328 7 7 30.0 90.0 90.0 1.16397E-01 6.69290E-03 2.59861E-03 9.29150E-03 4.21581E-03 0.022325 6 1 40.0 0.0 180.0 6.66057E-02 6.72912E-03 1.70893E-03 8.43804E-03 4.23862E-03 0.025657 6 4 40.0 45.0 135.0 7.13136E-02 6.76537E-03 1.82988E-03 8.59525E-03 4.26146E-03 0.025660 6 7 40.0 90.0 90.0 8.75434E-02 6.85263E-03 2.24629E-03 9.09892E-03 4.31642E-03 0.025659 5 1 50.0 0.0 180.0 6.16919E-02 6.94272E-03 2.18898E-03 9.13170E-03 4.37317E-03 0.035482 5 4 50.0 45.0 135.0 6.51575E-02 6.97580E-03 2.31327E-03 9.28907E-03 4.39401E-03 0.035503 5 7 50.0 90.0 90.0 7.62901E-02 7.16285E-03 2.70837E-03 9.87122E-03 4.51183E-03 0.035501 4 1 60.0 0.0 180.0 6.39885E-02 7.03547E-03 4.04459E-03 1.10801E-02 4.43159E-03 0.063208 4 4 60.0 45.0 135.0 6.67555E-02 7.12210E-03 4.21944E-03 1.13415E-02 4.48616E-03 0.063207 4 7 60.0 90.0 90.0 7.55275E-02 7.26510E-03 4.77329E-03 1.20384E-02 4.57624E-03 0.063199 3 1 70.0 0.0 180.0 7.67405E-02 6.78073E-03 1.08563E-02 1.76370E-02 4.27113E-03 0.141467 3 4 70.0 45.0 135.0 7.87688E-02 6.81493E-03 1.11293E-02 1.79442E-02 4.29268E-03 0.141290 3 7 70.0 90.0 90.0 8.59042E-02 7.00965E-03 1.21498E-02 1.91594E-02 4.41533E-03 0.141434 2 1 80.0 0.0 180.0 1.14439E-01 5.10481E-03 4.20659E-02 4.71707E-02 3.21548E-03 0.367584 2 4 80.0 45.0 135.0 1.14991E-01 5.16410E-03 4.22407E-02 4.74048E-02 3.25283E-03 0.367340 2 7 80.0 90.0 90.0 1.19560E-01 5.35540E-03 4.39519E-02 4.93073E-02 3.37333E-03 0.367613 1 1 87.5 0.0 180.0 1.72520E-01 2.31507E-03 1.33376E-01 1.35691E-01 1.45824E-03 0.773106 1 4 87.5 45.0 135.0 1.70453E-01 2.42564E-03 1.31785E-01 1.34211E-01 1.52790E-03 0.773143 1 7 87.5 90.0 90.0 1.70137E-01 2.48944E-03 1.31443E-01 1.33932E-01 1.56808E-03 0.772570 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 525.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.554E-02 4.391E-01 1.541E-01 1.520E-01 1.622E-01 9.790E-03 4.634E+00 6.304E-03 3.971E-03 1 0.00 0.00 1.159E-02 5.530E+00 2.037E-02 2.298E-02 2.763E-02 7.400E-03 4.222E+00 3 0.87 1.00 1.065E-02 4.587E+00 2.242E-02 2.614E-02 3.268E-02 7.482E-03 4.417E+00 5 1.74 2.00 9.739E-03 3.685E+00 2.343E-02 2.782E-02 3.546E-02 7.553E-03 4.588E+00 7 2.61 3.00 8.862E-03 2.917E+00 2.369E-02 2.848E-02 3.681E-02 7.617E-03 4.740E+00 9 3.48 4.00 8.030E-03 2.298E+00 2.341E-02 2.839E-02 3.705E-02 7.673E-03 4.877E+00 11 4.35 5.00 7.249E-03 1.813E+00 2.275E-02 2.778E-02 3.645E-02 7.723E-03 5.001E+00 13 5.22 6.00 6.522E-03 1.436E+00 2.183E-02 2.677E-02 3.521E-02 7.767E-03 5.113E+00 15 6.09 7.00 5.850E-03 1.145E+00 2.075E-02 2.550E-02 3.350E-02 7.806E-03 5.215E+00 17 6.96 8.00 5.232E-03 9.200E-01 1.957E-02 2.405E-02 3.147E-02 7.841E-03 5.307E+00 19 7.83 9.00 4.667E-03 7.451E-01 1.832E-02 2.248E-02 2.924E-02 7.871E-03 5.391E+00 21 8.70 10.00 4.153E-03 6.083E-01 1.704E-02 2.085E-02 2.692E-02 7.897E-03 5.465E+00 Waveband 18 of 40 completed in 3.8 sec. * * * * * Output for wavelength band 19 (530.0 to 540.0 nm; nominal wavelength = 535.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 33.0 m at 535.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 530.0 nm to 540.0 nm: Ed(diffuse) = 4.078E-01 Ed(direct) = 1.197E+00 Ed(total) = 1.605E+00 Absorption Coefficients of Individual Components at 535.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0452 0.0289 0.0000 0.0047 0.0788 3 0.868 1.000 0.0452 0.0289 0.0000 0.0047 0.0788 5 1.737 2.000 0.0452 0.0289 0.0000 0.0047 0.0788 7 2.605 3.000 0.0452 0.0289 0.0000 0.0047 0.0788 9 3.473 4.000 0.0452 0.0289 0.0000 0.0047 0.0788 11 4.342 5.000 0.0452 0.0289 0.0000 0.0047 0.0788 13 5.210 6.000 0.0452 0.0289 0.0000 0.0047 0.0788 15 6.078 7.000 0.0452 0.0289 0.0000 0.0047 0.0788 17 6.946 8.000 0.0452 0.0289 0.0000 0.0047 0.0788 19 7.815 9.000 0.0452 0.0289 0.0000 0.0047 0.0788 21 8.683 10.000 0.0452 0.0289 0.0000 0.0047 0.0788 Scattering Coefficients of Individual Components at 535.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0022 0.2757 0.5116 0.0000 0.7895 3 0.868 1.000 0.0022 0.2757 0.5116 0.0000 0.7895 5 1.737 2.000 0.0022 0.2757 0.5116 0.0000 0.7895 7 2.605 3.000 0.0022 0.2757 0.5116 0.0000 0.7895 9 3.473 4.000 0.0022 0.2757 0.5116 0.0000 0.7895 11 4.342 5.000 0.0022 0.2757 0.5116 0.0000 0.7895 13 5.210 6.000 0.0022 0.2757 0.5116 0.0000 0.7895 15 6.078 7.000 0.0022 0.2757 0.5116 0.0000 0.7895 17 6.946 8.000 0.0022 0.2757 0.5116 0.0000 0.7895 19 7.815 9.000 0.0022 0.2757 0.5116 0.0000 0.7895 21 8.683 10.000 0.0022 0.2757 0.5116 0.0000 0.7895 Backscattering Coefficients of Individual Components at 535.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00108 0.00387 0.00090 0.00000 0.00584 3 0.868 1.000 0.00108 0.00387 0.00090 0.00000 0.00584 5 1.737 2.000 0.00108 0.00387 0.00090 0.00000 0.00584 7 2.605 3.000 0.00108 0.00387 0.00090 0.00000 0.00584 9 3.473 4.000 0.00108 0.00387 0.00090 0.00000 0.00584 11 4.342 5.000 0.00108 0.00387 0.00090 0.00000 0.00584 13 5.210 6.000 0.00108 0.00387 0.00090 0.00000 0.00584 15 6.078 7.000 0.00108 0.00387 0.00090 0.00000 0.00584 17 6.946 8.000 0.00108 0.00387 0.00090 0.00000 0.00584 19 7.815 9.000 0.00108 0.00387 0.00090 0.00000 0.00584 21 8.683 10.000 0.00108 0.00387 0.00090 0.00000 0.00584 Summary of Inherent Optical Properties at 535.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0788 0.7895 0.8683 0.9093 0.00584 0.00740 3 0.868 1.000 0.0788 0.7895 0.8683 0.9093 0.00584 0.00740 5 1.737 2.000 0.0788 0.7895 0.8683 0.9093 0.00584 0.00740 7 2.605 3.000 0.0788 0.7895 0.8683 0.9093 0.00584 0.00740 9 3.473 4.000 0.0788 0.7895 0.8683 0.9093 0.00584 0.00740 11 4.342 5.000 0.0788 0.7895 0.8683 0.9093 0.00584 0.00740 13 5.210 6.000 0.0788 0.7895 0.8683 0.9093 0.00584 0.00740 15 6.078 7.000 0.0788 0.7895 0.8683 0.9093 0.00584 0.00740 17 6.946 8.000 0.0788 0.7895 0.8683 0.9093 0.00584 0.00740 19 7.815 9.000 0.0788 0.7895 0.8683 0.9093 0.00584 0.00740 21 8.683 10.000 0.0788 0.7895 0.8683 0.9093 0.00584 0.00740 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5868E-01 8 20.00 8.5512E-01 7 30.00 7.1096E-01 6 40.00 5.5428E-01 5 50.00 4.0874E-01 4 60.00 2.8834E-01 3 70.00 1.9729E-01 2 80.00 1.3353E-01 1 87.50 9.8373E-02 1 92.50 7.7999E-02 2 100.00 5.7926E-02 3 110.00 4.0723E-02 4 120.00 2.9627E-02 5 130.00 2.2624E-02 6 140.00 1.8236E-02 7 150.00 1.5519E-02 8 160.00 1.3896E-02 9 170.00 1.3032E-02 10 180.00 1.2734E-02 Asymptotic AOP values are MUu(inf) = 0.3483 MUd(inf) = 0.6837 MU(inf) = 0.5931 R(inf) = 0.0490 Lu(inf)/Ed(inf) = 0.008016 (1/sr) k(inf) = 0.1328 (1/m) absorp(check) = 0.0788 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 535.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.1234E-01 1.9756E+00 2.1879E+00 7.2475E-02 1.6050E+00 0.3413 0.8124 0.7005 4.5156E-02 1 0.00 0.00 1.1369E-01 1.7201E+00 1.8338E+00 4.9823E-02 1.5843E+00 0.4382 0.9210 0.8368 3.1448E-02 3 0.87 1.00 1.1341E-01 1.6211E+00 1.7345E+00 4.8000E-02 1.4426E+00 0.4232 0.8899 0.8040 3.3274E-02 5 1.74 2.00 1.1089E-01 1.5149E+00 1.6258E+00 4.5680E-02 1.3085E+00 0.4119 0.8638 0.7768 3.4909E-02 7 2.60 3.00 1.0681E-01 1.4058E+00 1.5126E+00 4.3045E-02 1.1829E+00 0.4030 0.8414 0.7536 3.6389E-02 9 3.47 4.00 1.0166E-01 1.2967E+00 1.3983E+00 4.0226E-02 1.0660E+00 0.3957 0.8221 0.7335 3.7736E-02 11 4.34 5.00 9.5810E-02 1.1896E+00 1.2854E+00 3.7323E-02 9.5786E-01 0.3896 0.8052 0.7161 3.8965E-02 13 5.21 6.00 8.9539E-02 1.0861E+00 1.1757E+00 3.4412E-02 8.5846E-01 0.3843 0.7904 0.7009 4.0085E-02 15 6.08 7.00 8.3065E-02 9.8740E-01 1.0705E+00 3.1550E-02 7.6754E-01 0.3798 0.7773 0.6875 4.1105E-02 17 6.95 8.00 7.6559E-02 8.9409E-01 9.7065E-01 2.8780E-02 6.8474E-01 0.3759 0.7659 0.6758 4.2030E-02 19 7.81 9.00 7.0154E-02 8.0670E-01 8.7685E-01 2.6133E-02 6.0966E-01 0.3725 0.7557 0.6655 4.2865E-02 21 8.68 10.00 6.3951E-02 7.2548E-01 7.8943E-01 2.3633E-02 5.4182E-01 0.3695 0.7468 0.6564 4.3618E-02 K-functions (units of 1/meter) at 535.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 -0.01097 0.05416 0.05012 0.02991 0.09165 0.09365 0.07955 1.000 1.010 1.005 0.01372 0.06385 0.06057 0.04397 0.09570 0.09748 0.08517 2.000 2.010 2.005 0.03069 0.07146 0.06868 0.05485 0.09931 0.10092 0.09008 3.000 3.010 3.005 0.04392 0.07795 0.07555 0.06385 0.10258 0.10405 0.09445 4.000 4.010 4.005 0.05467 0.08363 0.08152 0.07151 0.10556 0.10690 0.09839 5.000 5.010 5.005 0.06373 0.08868 0.08682 0.07821 0.10830 0.10952 0.10198 6.000 6.010 6.005 0.07157 0.09324 0.09159 0.08416 0.11080 0.11191 0.10525 7.000 7.010 7.005 0.07847 0.09738 0.09591 0.08948 0.11309 0.11411 0.10822 8.000 8.010 8.005 0.08461 0.10114 0.09983 0.09428 0.11519 0.11610 0.11093 9.000 9.010 9.005 0.09009 0.10456 0.10340 0.09860 0.11709 0.11792 0.11339 10.000 10.010 10.005 0.09501 0.10766 0.10664 0.10249 0.11882 0.11957 0.11561 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 535.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 4.31824E-01 6.40288E-03 9.08657E-03 1.54895E-02 3.98937E-03 0.021042 9 1 10.0 0.0 180.0 1.89323E-01 6.42610E-03 3.99680E-03 1.04229E-02 4.00383E-03 0.021111 9 4 10.0 45.0 135.0 2.11616E-01 6.42919E-03 4.46833E-03 1.08975E-02 4.00576E-03 0.021115 9 7 10.0 90.0 90.0 2.95530E-01 6.43582E-03 6.24196E-03 1.26778E-02 4.00988E-03 0.021121 8 1 20.0 0.0 180.0 1.13181E-01 6.51742E-03 2.41572E-03 8.93314E-03 4.06072E-03 0.021344 8 4 20.0 45.0 135.0 1.26297E-01 6.50855E-03 2.69562E-03 9.20417E-03 4.05520E-03 0.021344 8 7 20.0 90.0 90.0 1.77488E-01 6.54574E-03 3.78832E-03 1.03341E-02 4.07837E-03 0.021344 7 1 30.0 0.0 180.0 7.97465E-02 6.69515E-03 1.78058E-03 8.47573E-03 4.17146E-03 0.022328 7 4 30.0 45.0 135.0 8.70874E-02 6.72329E-03 1.94450E-03 8.66778E-03 4.18899E-03 0.022328 7 7 30.0 90.0 90.0 1.14480E-01 6.80414E-03 2.55582E-03 9.35997E-03 4.23937E-03 0.022325 6 1 40.0 0.0 180.0 6.55092E-02 6.83627E-03 1.68079E-03 8.51706E-03 4.25939E-03 0.025657 6 4 40.0 45.0 135.0 7.01396E-02 6.87604E-03 1.79976E-03 8.67579E-03 4.28417E-03 0.025660 6 7 40.0 90.0 90.0 8.61021E-02 6.97212E-03 2.20931E-03 9.18142E-03 4.34403E-03 0.025659 5 1 50.0 0.0 180.0 6.06762E-02 7.05490E-03 2.15294E-03 9.20785E-03 4.39561E-03 0.035482 5 4 50.0 45.0 135.0 6.40848E-02 7.09190E-03 2.27519E-03 9.36708E-03 4.41866E-03 0.035503 5 7 50.0 90.0 90.0 7.50341E-02 7.29074E-03 2.66379E-03 9.95453E-03 4.54255E-03 0.035501 4 1 60.0 0.0 180.0 6.29350E-02 7.15107E-03 3.97800E-03 1.11291E-02 4.45553E-03 0.063208 4 4 60.0 45.0 135.0 6.56564E-02 7.24299E-03 4.14997E-03 1.13930E-02 4.51280E-03 0.063207 4 7 60.0 90.0 90.0 7.42840E-02 7.39827E-03 4.69470E-03 1.20930E-02 4.60955E-03 0.063199 3 1 70.0 0.0 180.0 7.54771E-02 6.89279E-03 1.06775E-02 1.75703E-02 4.29461E-03 0.141467 3 4 70.0 45.0 135.0 7.74720E-02 6.93142E-03 1.09460E-02 1.78775E-02 4.31867E-03 0.141290 3 7 70.0 90.0 90.0 8.44899E-02 7.13938E-03 1.19497E-02 1.90891E-02 4.44824E-03 0.141434 2 1 80.0 0.0 180.0 1.12555E-01 5.19039E-03 4.13733E-02 4.65637E-02 3.23391E-03 0.367584 2 4 80.0 45.0 135.0 1.13098E-01 5.25389E-03 4.15453E-02 4.67992E-02 3.27347E-03 0.367340 2 7 80.0 90.0 90.0 1.17592E-01 5.45680E-03 4.32283E-02 4.86851E-02 3.39990E-03 0.367613 1 1 87.5 0.0 180.0 1.69679E-01 2.35387E-03 1.31180E-01 1.33534E-01 1.46660E-03 0.773106 1 4 87.5 45.0 135.0 1.67647E-01 2.46782E-03 1.29615E-01 1.32083E-01 1.53759E-03 0.773143 1 7 87.5 90.0 90.0 1.67336E-01 2.53657E-03 1.29279E-01 1.31815E-01 1.58043E-03 0.772570 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 535.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.549E-02 4.318E-01 1.516E-01 1.496E-01 1.596E-01 9.651E-03 4.679E+00 6.403E-03 3.989E-03 1 0.00 0.00 1.177E-02 5.617E+00 2.066E-02 2.334E-02 2.814E-02 7.432E-03 4.232E+00 3 0.87 1.00 1.084E-02 4.668E+00 2.274E-02 2.657E-02 3.328E-02 7.516E-03 4.427E+00 5 1.74 2.00 9.933E-03 3.756E+00 2.381E-02 2.833E-02 3.619E-02 7.591E-03 4.599E+00 7 2.60 3.00 9.057E-03 2.978E+00 2.413E-02 2.906E-02 3.765E-02 7.657E-03 4.752E+00 9 3.47 4.00 8.225E-03 2.350E+00 2.390E-02 2.905E-02 3.800E-02 7.716E-03 4.891E+00 11 4.34 5.00 7.441E-03 1.856E+00 2.328E-02 2.849E-02 3.748E-02 7.768E-03 5.016E+00 13 5.21 6.00 6.708E-03 1.472E+00 2.241E-02 2.754E-02 3.630E-02 7.814E-03 5.130E+00 15 6.08 7.00 6.029E-03 1.176E+00 2.136E-02 2.630E-02 3.463E-02 7.855E-03 5.233E+00 17 6.95 8.00 5.403E-03 9.459E-01 2.019E-02 2.486E-02 3.261E-02 7.891E-03 5.326E+00 19 7.81 9.00 4.830E-03 7.672E-01 1.895E-02 2.329E-02 3.037E-02 7.922E-03 5.411E+00 21 8.68 10.00 4.307E-03 6.271E-01 1.767E-02 2.166E-02 2.802E-02 7.950E-03 5.487E+00 Waveband 19 of 40 completed in 3.8 sec. * * * * * Output for wavelength band 20 (540.0 to 550.0 nm; nominal wavelength = 545.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 33.0 m at 545.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 540.0 nm to 550.0 nm: Ed(diffuse) = 3.916E-01 Ed(direct) = 1.192E+00 Ed(total) = 1.584E+00 Absorption Coefficients of Individual Components at 545.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0511 0.0256 0.0000 0.0041 0.0808 3 0.870 1.000 0.0511 0.0256 0.0000 0.0041 0.0808 5 1.740 2.000 0.0511 0.0256 0.0000 0.0041 0.0808 7 2.610 3.000 0.0511 0.0256 0.0000 0.0041 0.0808 9 3.480 4.000 0.0511 0.0256 0.0000 0.0041 0.0808 11 4.351 5.000 0.0511 0.0256 0.0000 0.0041 0.0808 13 5.221 6.000 0.0511 0.0256 0.0000 0.0041 0.0808 15 6.091 7.000 0.0511 0.0256 0.0000 0.0041 0.0808 17 6.961 8.000 0.0511 0.0256 0.0000 0.0041 0.0808 19 7.831 9.000 0.0511 0.0256 0.0000 0.0041 0.0808 21 8.701 10.000 0.0511 0.0256 0.0000 0.0041 0.0808 Scattering Coefficients of Individual Components at 545.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0020 0.2757 0.5116 0.0000 0.7894 3 0.870 1.000 0.0020 0.2757 0.5116 0.0000 0.7894 5 1.740 2.000 0.0020 0.2757 0.5116 0.0000 0.7894 7 2.610 3.000 0.0020 0.2757 0.5116 0.0000 0.7894 9 3.480 4.000 0.0020 0.2757 0.5116 0.0000 0.7894 11 4.351 5.000 0.0020 0.2757 0.5116 0.0000 0.7894 13 5.221 6.000 0.0020 0.2757 0.5116 0.0000 0.7894 15 6.091 7.000 0.0020 0.2757 0.5116 0.0000 0.7894 17 6.961 8.000 0.0020 0.2757 0.5116 0.0000 0.7894 19 7.831 9.000 0.0020 0.2757 0.5116 0.0000 0.7894 21 8.701 10.000 0.0020 0.2757 0.5116 0.0000 0.7894 Backscattering Coefficients of Individual Components at 545.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00100 0.00387 0.00090 0.00000 0.00576 3 0.870 1.000 0.00100 0.00387 0.00090 0.00000 0.00576 5 1.740 2.000 0.00100 0.00387 0.00090 0.00000 0.00576 7 2.610 3.000 0.00100 0.00387 0.00090 0.00000 0.00576 9 3.480 4.000 0.00100 0.00387 0.00090 0.00000 0.00576 11 4.351 5.000 0.00100 0.00387 0.00090 0.00000 0.00576 13 5.221 6.000 0.00100 0.00387 0.00090 0.00000 0.00576 15 6.091 7.000 0.00100 0.00387 0.00090 0.00000 0.00576 17 6.961 8.000 0.00100 0.00387 0.00090 0.00000 0.00576 19 7.831 9.000 0.00100 0.00387 0.00090 0.00000 0.00576 21 8.701 10.000 0.00100 0.00387 0.00090 0.00000 0.00576 Summary of Inherent Optical Properties at 545.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0808 0.7894 0.8701 0.9072 0.00576 0.00730 3 0.870 1.000 0.0808 0.7894 0.8701 0.9072 0.00576 0.00730 5 1.740 2.000 0.0808 0.7894 0.8701 0.9072 0.00576 0.00730 7 2.610 3.000 0.0808 0.7894 0.8701 0.9072 0.00576 0.00730 9 3.480 4.000 0.0808 0.7894 0.8701 0.9072 0.00576 0.00730 11 4.351 5.000 0.0808 0.7894 0.8701 0.9072 0.00576 0.00730 13 5.221 6.000 0.0808 0.7894 0.8701 0.9072 0.00576 0.00730 15 6.091 7.000 0.0808 0.7894 0.8701 0.9072 0.00576 0.00730 17 6.961 8.000 0.0808 0.7894 0.8701 0.9072 0.00576 0.00730 19 7.831 9.000 0.0808 0.7894 0.8701 0.9072 0.00576 0.00730 21 8.701 10.000 0.0808 0.7894 0.8701 0.9072 0.00576 0.00730 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5814E-01 8 20.00 8.5334E-01 7 30.00 7.0776E-01 6 40.00 5.5000E-01 5 50.00 4.0399E-01 4 60.00 2.8374E-01 3 70.00 1.9323E-01 2 80.00 1.3015E-01 1 87.50 9.5544E-02 1 92.50 7.5561E-02 2 100.00 5.5929E-02 3 110.00 3.9166E-02 4 120.00 2.8398E-02 5 130.00 2.1628E-02 6 140.00 1.7399E-02 7 150.00 1.4787E-02 8 160.00 1.3230E-02 9 170.00 1.2402E-02 10 180.00 1.2117E-02 Asymptotic AOP values are MUu(inf) = 0.3468 MUd(inf) = 0.6857 MU(inf) = 0.5974 R(inf) = 0.0473 Lu(inf)/Ed(inf) = 0.007682 (1/sr) k(inf) = 0.1352 (1/m) absorp(check) = 0.0808 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 545.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.0420E-01 1.9402E+00 2.1444E+00 7.0145E-02 1.5835E+00 0.3435 0.8162 0.7057 4.4298E-02 1 0.00 0.00 1.0784E-01 1.6930E+00 1.8008E+00 4.7160E-02 1.5624E+00 0.4373 0.9229 0.8414 3.0184E-02 3 0.87 1.00 1.0754E-01 1.5924E+00 1.7000E+00 4.5394E-02 1.4200E+00 0.4221 0.8917 0.8086 3.1969E-02 5 1.74 2.00 1.0505E-01 1.4851E+00 1.5902E+00 4.3149E-02 1.2855E+00 0.4107 0.8656 0.7813 3.3567E-02 7 2.61 3.00 1.0107E-01 1.3753E+00 1.4763E+00 4.0605E-02 1.1597E+00 0.4017 0.8432 0.7580 3.5014E-02 9 3.48 4.00 9.6071E-02 1.2658E+00 1.3619E+00 3.7889E-02 1.0429E+00 0.3944 0.8239 0.7380 3.6331E-02 11 4.35 5.00 9.0409E-02 1.1588E+00 1.2492E+00 3.5100E-02 9.3516E-01 0.3882 0.8070 0.7205 3.7533E-02 13 5.22 6.00 8.4356E-02 1.0557E+00 1.1401E+00 3.2308E-02 8.3634E-01 0.3830 0.7922 0.7052 3.8630E-02 15 6.09 7.00 7.8124E-02 9.5765E-01 1.0358E+00 2.9568E-02 7.4615E-01 0.3785 0.7791 0.6918 3.9628E-02 17 6.96 8.00 7.1877E-02 8.6523E-01 9.3711E-01 2.6922E-02 6.6420E-01 0.3746 0.7677 0.6801 4.0533E-02 19 7.83 9.00 6.5740E-02 7.7891E-01 8.4465E-01 2.4400E-02 5.9007E-01 0.3712 0.7576 0.6697 4.1352E-02 21 8.70 10.00 5.9812E-02 6.9891E-01 7.5872E-01 2.2023E-02 5.2324E-01 0.3682 0.7487 0.6606 4.2089E-02 K-functions (units of 1/meter) at 545.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 -0.01116 0.05605 0.05202 0.03059 0.09354 0.09550 0.08101 1.000 1.010 1.005 0.01440 0.06587 0.06261 0.04504 0.09766 0.09940 0.08673 2.000 2.010 2.005 0.03173 0.07353 0.07076 0.05612 0.10132 0.10289 0.09172 3.000 3.010 3.005 0.04517 0.08005 0.07767 0.06527 0.10463 0.10605 0.09616 4.000 4.010 4.005 0.05609 0.08576 0.08367 0.07305 0.10765 0.10895 0.10017 5.000 5.010 5.005 0.06527 0.09084 0.08899 0.07985 0.11041 0.11160 0.10382 6.000 6.010 6.005 0.07322 0.09542 0.09378 0.08588 0.11295 0.11403 0.10714 7.000 7.010 7.005 0.08022 0.09958 0.09812 0.09129 0.11527 0.11626 0.11017 8.000 8.010 8.005 0.08644 0.10337 0.10207 0.09615 0.11739 0.11828 0.11292 9.000 9.010 9.005 0.09200 0.10681 0.10566 0.10054 0.11931 0.12012 0.11542 10.000 10.010 10.005 0.09697 0.10993 0.10891 0.10448 0.12106 0.12179 0.11767 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 545.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 4.14726E-01 6.04166E-03 8.72678E-03 1.47684E-02 3.81540E-03 0.021042 9 1 10.0 0.0 180.0 1.81827E-01 6.06319E-03 3.83851E-03 9.90170E-03 3.82900E-03 0.021111 9 4 10.0 45.0 135.0 2.03240E-01 6.06618E-03 4.29146E-03 1.03576E-02 3.83089E-03 0.021115 9 7 10.0 90.0 90.0 2.83811E-01 6.07292E-03 5.99449E-03 1.20674E-02 3.83514E-03 0.021121 8 1 20.0 0.0 180.0 1.08699E-01 6.14930E-03 2.32007E-03 8.46937E-03 3.88338E-03 0.021344 8 4 20.0 45.0 135.0 1.21296E-01 6.14118E-03 2.58889E-03 8.73007E-03 3.87825E-03 0.021344 8 7 20.0 90.0 90.0 1.70461E-01 6.17713E-03 3.63831E-03 9.81545E-03 3.90096E-03 0.021344 7 1 30.0 0.0 180.0 7.65888E-02 6.31706E-03 1.71008E-03 8.02713E-03 3.98932E-03 0.022328 7 4 30.0 45.0 135.0 8.36391E-02 6.34401E-03 1.86750E-03 8.21152E-03 4.00634E-03 0.022328 7 7 30.0 90.0 90.0 1.09947E-01 6.42155E-03 2.45462E-03 8.87618E-03 4.05531E-03 0.022325 6 1 40.0 0.0 180.0 6.29153E-02 6.45112E-03 1.61424E-03 8.06536E-03 4.07398E-03 0.025657 6 4 40.0 45.0 135.0 6.73623E-02 6.48936E-03 1.72849E-03 8.21785E-03 4.09813E-03 0.025660 6 7 40.0 90.0 90.0 8.26928E-02 6.58216E-03 2.12183E-03 8.70399E-03 4.15674E-03 0.025659 5 1 50.0 0.0 180.0 5.82737E-02 6.65860E-03 2.06769E-03 8.72629E-03 4.20501E-03 0.035482 5 4 50.0 45.0 135.0 6.15473E-02 6.69446E-03 2.18510E-03 8.87955E-03 4.22766E-03 0.035503 5 7 50.0 90.0 90.0 7.20630E-02 6.88506E-03 2.55831E-03 9.44337E-03 4.34803E-03 0.035501 4 1 60.0 0.0 180.0 6.04431E-02 6.75073E-03 3.82049E-03 1.05712E-02 4.26319E-03 0.063208 4 4 60.0 45.0 135.0 6.30567E-02 6.83872E-03 3.98565E-03 1.08244E-02 4.31876E-03 0.063207 4 7 60.0 90.0 90.0 7.13427E-02 6.98903E-03 4.50881E-03 1.14978E-02 4.41368E-03 0.063199 3 1 70.0 0.0 180.0 7.24885E-02 6.50827E-03 1.02547E-02 1.67630E-02 4.11008E-03 0.141467 3 4 70.0 45.0 135.0 7.44044E-02 6.54610E-03 1.05126E-02 1.70587E-02 4.13396E-03 0.141290 3 7 70.0 90.0 90.0 8.11444E-02 6.74661E-03 1.14766E-02 1.82232E-02 4.26059E-03 0.141434 2 1 80.0 0.0 180.0 1.08098E-01 4.90338E-03 3.97351E-02 4.46385E-02 3.09656E-03 0.367584 2 4 80.0 45.0 135.0 1.08620E-01 4.96472E-03 3.99003E-02 4.48650E-02 3.13530E-03 0.367340 2 7 80.0 90.0 90.0 1.12936E-01 5.16057E-03 4.15167E-02 4.66772E-02 3.25898E-03 0.367613 1 1 87.5 0.0 180.0 1.62961E-01 2.22371E-03 1.25986E-01 1.28210E-01 1.40431E-03 0.773106 1 4 87.5 45.0 135.0 1.61009E-01 2.33199E-03 1.24483E-01 1.26815E-01 1.47269E-03 0.773143 1 7 87.5 90.0 90.0 1.60710E-01 2.39887E-03 1.24160E-01 1.26559E-01 1.51493E-03 0.772570 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 545.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.477E-02 4.147E-01 1.456E-01 1.436E-01 1.533E-01 9.327E-03 4.750E+00 6.042E-03 3.815E-03 1 0.00 0.00 1.111E-02 5.567E+00 1.962E-02 2.223E-02 2.690E-02 7.111E-03 4.245E+00 3 0.87 1.00 1.022E-02 4.619E+00 2.163E-02 2.535E-02 3.191E-02 7.194E-03 4.444E+00 5 1.74 2.00 9.343E-03 3.710E+00 2.264E-02 2.703E-02 3.469E-02 7.268E-03 4.618E+00 7 2.61 3.00 8.506E-03 2.936E+00 2.292E-02 2.771E-02 3.605E-02 7.334E-03 4.774E+00 9 3.48 4.00 7.710E-03 2.312E+00 2.268E-02 2.766E-02 3.634E-02 7.393E-03 4.914E+00 11 4.35 5.00 6.962E-03 1.822E+00 2.206E-02 2.709E-02 3.579E-02 7.445E-03 5.041E+00 13 5.22 6.00 6.265E-03 1.443E+00 2.120E-02 2.614E-02 3.460E-02 7.492E-03 5.156E+00 15 6.09 7.00 5.620E-03 1.149E+00 2.018E-02 2.492E-02 3.295E-02 7.532E-03 5.261E+00 17 6.96 8.00 5.027E-03 9.228E-01 1.904E-02 2.352E-02 3.097E-02 7.569E-03 5.355E+00 19 7.83 9.00 4.485E-03 7.468E-01 1.784E-02 2.200E-02 2.878E-02 7.600E-03 5.441E+00 21 8.70 10.00 3.991E-03 6.092E-01 1.661E-02 2.042E-02 2.650E-02 7.628E-03 5.518E+00 Waveband 20 of 40 completed in 3.9 sec. * * * * * Output for wavelength band 21 (550.0 to 560.0 nm; nominal wavelength = 555.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 32.9 m at 555.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 550.0 nm to 560.0 nm: Ed(diffuse) = 3.792E-01 Ed(direct) = 1.194E+00 Ed(total) = 1.574E+00 Absorption Coefficients of Individual Components at 555.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0596 0.0219 0.0000 0.0035 0.0850 3 0.874 1.000 0.0596 0.0219 0.0000 0.0035 0.0850 5 1.748 2.000 0.0596 0.0219 0.0000 0.0035 0.0850 7 2.623 3.000 0.0596 0.0219 0.0000 0.0035 0.0850 9 3.497 4.000 0.0596 0.0219 0.0000 0.0035 0.0850 11 4.371 5.000 0.0596 0.0219 0.0000 0.0035 0.0850 13 5.245 6.000 0.0596 0.0219 0.0000 0.0035 0.0850 15 6.120 7.000 0.0596 0.0219 0.0000 0.0035 0.0850 17 6.994 8.000 0.0596 0.0219 0.0000 0.0035 0.0850 19 7.868 9.000 0.0596 0.0219 0.0000 0.0035 0.0850 21 8.742 10.000 0.0596 0.0219 0.0000 0.0035 0.0850 Scattering Coefficients of Individual Components at 555.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0018 0.2757 0.5116 0.0000 0.7892 3 0.874 1.000 0.0018 0.2757 0.5116 0.0000 0.7892 5 1.748 2.000 0.0018 0.2757 0.5116 0.0000 0.7892 7 2.623 3.000 0.0018 0.2757 0.5116 0.0000 0.7892 9 3.497 4.000 0.0018 0.2757 0.5116 0.0000 0.7892 11 4.371 5.000 0.0018 0.2757 0.5116 0.0000 0.7892 13 5.245 6.000 0.0018 0.2757 0.5116 0.0000 0.7892 15 6.120 7.000 0.0018 0.2757 0.5116 0.0000 0.7892 17 6.994 8.000 0.0018 0.2757 0.5116 0.0000 0.7892 19 7.868 9.000 0.0018 0.2757 0.5116 0.0000 0.7892 21 8.742 10.000 0.0018 0.2757 0.5116 0.0000 0.7892 Backscattering Coefficients of Individual Components at 555.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00092 0.00387 0.00090 0.00000 0.00569 3 0.874 1.000 0.00092 0.00387 0.00090 0.00000 0.00569 5 1.748 2.000 0.00092 0.00387 0.00090 0.00000 0.00569 7 2.623 3.000 0.00092 0.00387 0.00090 0.00000 0.00569 9 3.497 4.000 0.00092 0.00387 0.00090 0.00000 0.00569 11 4.371 5.000 0.00092 0.00387 0.00090 0.00000 0.00569 13 5.245 6.000 0.00092 0.00387 0.00090 0.00000 0.00569 15 6.120 7.000 0.00092 0.00387 0.00090 0.00000 0.00569 17 6.994 8.000 0.00092 0.00387 0.00090 0.00000 0.00569 19 7.868 9.000 0.00092 0.00387 0.00090 0.00000 0.00569 21 8.742 10.000 0.00092 0.00387 0.00090 0.00000 0.00569 Summary of Inherent Optical Properties at 555.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0850 0.7892 0.8742 0.9027 0.00569 0.00721 3 0.874 1.000 0.0850 0.7892 0.8742 0.9027 0.00569 0.00721 5 1.748 2.000 0.0850 0.7892 0.8742 0.9027 0.00569 0.00721 7 2.623 3.000 0.0850 0.7892 0.8742 0.9027 0.00569 0.00721 9 3.497 4.000 0.0850 0.7892 0.8742 0.9027 0.00569 0.00721 11 4.371 5.000 0.0850 0.7892 0.8742 0.9027 0.00569 0.00721 13 5.245 6.000 0.0850 0.7892 0.8742 0.9027 0.00569 0.00721 15 6.120 7.000 0.0850 0.7892 0.8742 0.9027 0.00569 0.00721 17 6.994 8.000 0.0850 0.7892 0.8742 0.9027 0.00569 0.00721 19 7.868 9.000 0.0850 0.7892 0.8742 0.9027 0.00569 0.00721 21 8.742 10.000 0.0850 0.7892 0.8742 0.9027 0.00569 0.00721 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5701E-01 8 20.00 8.4962E-01 7 30.00 7.0108E-01 6 40.00 5.4113E-01 5 50.00 3.9426E-01 4 60.00 2.7441E-01 3 70.00 1.8510E-01 2 80.00 1.2351E-01 1 87.50 9.0049E-02 1 92.50 7.0879E-02 2 100.00 5.2153E-02 3 110.00 3.6283E-02 4 120.00 2.6173E-02 5 130.00 1.9862E-02 6 140.00 1.5945E-02 7 150.00 1.3537E-02 8 160.00 1.2108E-02 9 170.00 1.1350E-02 10 180.00 1.1089E-02 Asymptotic AOP values are MUu(inf) = 0.3447 MUd(inf) = 0.6897 MU(inf) = 0.6055 R(inf) = 0.0443 Lu(inf)/Ed(inf) = 0.007136 (1/sr) k(inf) = 0.1404 (1/m) absorp(check) = 0.0850 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 555.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.9680E-01 1.9197E+00 2.1165E+00 6.7805E-02 1.5736E+00 0.3445 0.8197 0.7114 4.3091E-02 1 0.00 0.00 1.0003E-01 1.6763E+00 1.7763E+00 4.3591E-02 1.5513E+00 0.4358 0.9254 0.8488 2.8100E-02 3 0.87 1.00 9.9572E-02 1.5697E+00 1.6693E+00 4.1836E-02 1.4036E+00 0.4202 0.8942 0.8158 2.9806E-02 5 1.75 2.00 9.6984E-02 1.4571E+00 1.5541E+00 3.9629E-02 1.2650E+00 0.4086 0.8681 0.7884 3.1328E-02 7 2.62 3.00 9.2980E-02 1.3429E+00 1.4359E+00 3.7151E-02 1.1359E+00 0.3996 0.8459 0.7652 3.2705E-02 9 3.50 4.00 8.8038E-02 1.2300E+00 1.3181E+00 3.4527E-02 1.0168E+00 0.3922 0.8266 0.7452 3.3957E-02 11 4.37 5.00 8.2509E-02 1.1205E+00 1.2030E+00 3.1850E-02 9.0739E-01 0.3860 0.8098 0.7278 3.5100E-02 13 5.25 6.00 7.6655E-02 1.0157E+00 1.0924E+00 2.9188E-02 8.0759E-01 0.3808 0.7951 0.7126 3.6143E-02 15 6.12 7.00 7.0677E-02 9.1672E-01 9.8740E-01 2.6594E-02 7.1698E-01 0.3763 0.7821 0.6992 3.7091E-02 17 6.99 8.00 6.4728E-02 8.2404E-01 8.8877E-01 2.4103E-02 6.3510E-01 0.3724 0.7707 0.6875 3.7952E-02 19 7.87 9.00 5.8927E-02 7.3804E-01 7.9696E-01 2.1743E-02 5.6140E-01 0.3690 0.7607 0.6771 3.8731E-02 21 8.74 10.00 5.3358E-02 6.5882E-01 7.1218E-01 1.9532E-02 4.9533E-01 0.3660 0.7518 0.6681 3.9432E-02 K-functions (units of 1/meter) at 555.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 -0.01043 0.06024 0.05626 0.03305 0.09785 0.09973 0.08479 1.000 1.010 1.005 0.01696 0.07043 0.06724 0.04830 0.10211 0.10376 0.09072 2.000 2.010 2.005 0.03503 0.07826 0.07556 0.05979 0.10588 0.10737 0.09586 3.000 3.010 3.005 0.04890 0.08489 0.08256 0.06921 0.10928 0.11064 0.10043 4.000 4.010 4.005 0.06009 0.09068 0.08863 0.07719 0.11238 0.11362 0.10455 5.000 5.010 5.005 0.06950 0.09582 0.09402 0.08415 0.11522 0.11635 0.10829 6.000 6.010 6.005 0.07759 0.10046 0.09885 0.09031 0.11781 0.11884 0.11169 7.000 7.010 7.005 0.08472 0.10466 0.10323 0.09583 0.12018 0.12112 0.11479 8.000 8.010 8.005 0.09106 0.10848 0.10721 0.10079 0.12235 0.12320 0.11761 9.000 9.010 9.005 0.09671 0.11195 0.11083 0.10526 0.12432 0.12509 0.12016 10.000 10.010 10.005 0.10177 0.11510 0.11410 0.10927 0.12610 0.12679 0.12247 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 555.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 4.01570E-01 5.56442E-03 8.44996E-03 1.40144E-02 3.53622E-03 0.021042 9 1 10.0 0.0 180.0 1.76059E-01 5.58491E-03 3.71672E-03 9.30164E-03 3.54924E-03 0.021111 9 4 10.0 45.0 135.0 1.96795E-01 5.58721E-03 4.15538E-03 9.74260E-03 3.55070E-03 0.021115 9 7 10.0 90.0 90.0 2.74792E-01 5.59274E-03 5.80405E-03 1.13968E-02 3.55422E-03 0.021122 8 1 20.0 0.0 180.0 1.05251E-01 5.66403E-03 2.24647E-03 7.91051E-03 3.59952E-03 0.021344 8 4 20.0 45.0 135.0 1.17449E-01 5.65600E-03 2.50677E-03 8.16277E-03 3.59442E-03 0.021344 8 7 20.0 90.0 90.0 1.65053E-01 5.68817E-03 3.52290E-03 9.21107E-03 3.61486E-03 0.021344 7 1 30.0 0.0 180.0 7.41594E-02 5.81827E-03 1.65583E-03 7.47410E-03 3.69754E-03 0.022328 7 4 30.0 45.0 135.0 8.09860E-02 5.84250E-03 1.80827E-03 7.65077E-03 3.71294E-03 0.022328 7 7 30.0 90.0 90.0 1.06460E-01 5.91275E-03 2.37676E-03 8.28952E-03 3.75759E-03 0.022325 6 1 40.0 0.0 180.0 6.09196E-02 5.94147E-03 1.56304E-03 7.50450E-03 3.77583E-03 0.025657 6 4 40.0 45.0 135.0 6.52255E-02 5.97607E-03 1.67366E-03 7.64973E-03 3.79782E-03 0.025660 6 7 40.0 90.0 90.0 8.00698E-02 6.06042E-03 2.05452E-03 8.11494E-03 3.85143E-03 0.025659 5 1 50.0 0.0 180.0 5.64252E-02 6.13329E-03 2.00210E-03 8.13540E-03 3.89774E-03 0.035482 5 4 50.0 45.0 135.0 5.95950E-02 6.16579E-03 2.11578E-03 8.28157E-03 3.91839E-03 0.035503 5 7 50.0 90.0 90.0 6.97771E-02 6.34067E-03 2.47716E-03 8.81783E-03 4.02953E-03 0.035501 4 1 60.0 0.0 180.0 5.85258E-02 6.21902E-03 3.69930E-03 9.91832E-03 3.95222E-03 0.063208 4 4 60.0 45.0 135.0 6.10565E-02 6.29967E-03 3.85922E-03 1.01589E-02 4.00347E-03 0.063207 4 7 60.0 90.0 90.0 6.90797E-02 6.43798E-03 4.36579E-03 1.08038E-02 4.09137E-03 0.063199 3 1 70.0 0.0 180.0 7.01891E-02 5.99729E-03 9.92946E-03 1.59267E-02 3.81131E-03 0.141467 3 4 70.0 45.0 135.0 7.20443E-02 6.03194E-03 1.01791E-02 1.62111E-02 3.83333E-03 0.141290 3 7 70.0 90.0 90.0 7.85705E-02 6.21717E-03 1.11125E-02 1.73297E-02 3.95104E-03 0.141434 2 1 80.0 0.0 180.0 1.04669E-01 4.52144E-03 3.84747E-02 4.29961E-02 2.87340E-03 0.367584 2 4 80.0 45.0 135.0 1.05174E-01 4.57820E-03 3.86346E-02 4.32128E-02 2.90947E-03 0.367340 2 7 80.0 90.0 90.0 1.09353E-01 4.76017E-03 4.01997E-02 4.49599E-02 3.02511E-03 0.367613 1 1 87.5 0.0 180.0 1.57792E-01 2.05050E-03 1.21990E-01 1.24040E-01 1.30311E-03 0.773106 1 4 87.5 45.0 135.0 1.55902E-01 2.15044E-03 1.20534E-01 1.22685E-01 1.36661E-03 0.773143 1 7 87.5 90.0 90.0 1.55612E-01 2.21275E-03 1.20221E-01 1.22434E-01 1.40621E-03 0.772570 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 555.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.401E-02 4.016E-01 1.409E-01 1.390E-01 1.484E-01 8.906E-03 4.838E+00 5.564E-03 3.536E-03 1 0.00 0.00 1.023E-02 5.555E+00 1.829E-02 2.079E-02 2.529E-02 6.596E-03 4.260E+00 3 0.87 1.00 9.372E-03 4.591E+00 2.020E-02 2.378E-02 3.011E-02 6.677E-03 4.464E+00 5 1.75 2.00 8.537E-03 3.673E+00 2.111E-02 2.531E-02 3.267E-02 6.749E-03 4.642E+00 7 2.62 3.00 7.739E-03 2.894E+00 2.130E-02 2.586E-02 3.384E-02 6.813E-03 4.801E+00 9 3.50 4.00 6.985E-03 2.269E+00 2.100E-02 2.572E-02 3.397E-02 6.870E-03 4.943E+00 11 4.37 5.00 6.280E-03 1.781E+00 2.035E-02 2.509E-02 3.331E-02 6.921E-03 5.072E+00 13 5.25 6.00 5.626E-03 1.403E+00 1.947E-02 2.410E-02 3.206E-02 6.966E-03 5.188E+00 15 6.12 7.00 5.023E-03 1.113E+00 1.845E-02 2.287E-02 3.038E-02 7.006E-03 5.294E+00 17 6.99 8.00 4.472E-03 8.897E-01 1.733E-02 2.148E-02 2.841E-02 7.042E-03 5.390E+00 19 7.87 9.00 3.971E-03 7.167E-01 1.616E-02 2.000E-02 2.627E-02 7.073E-03 5.476E+00 21 8.74 10.00 3.517E-03 5.819E-01 1.498E-02 1.847E-02 2.407E-02 7.101E-03 5.553E+00 Waveband 21 of 40 completed in 3.9 sec. * * * * * Output for wavelength band 22 (560.0 to 570.0 nm; nominal wavelength = 565.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 32.9 m at 565.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 560.0 nm to 570.0 nm: Ed(diffuse) = 3.666E-01 Ed(direct) = 1.194E+00 Ed(total) = 1.561E+00 Absorption Coefficients of Individual Components at 565.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0642 0.0189 0.0000 0.0031 0.0862 3 0.875 1.000 0.0642 0.0189 0.0000 0.0031 0.0862 5 1.750 2.000 0.0642 0.0189 0.0000 0.0031 0.0862 7 2.626 3.000 0.0642 0.0189 0.0000 0.0031 0.0862 9 3.501 4.000 0.0642 0.0189 0.0000 0.0031 0.0862 11 4.376 5.000 0.0642 0.0189 0.0000 0.0031 0.0862 13 5.251 6.000 0.0642 0.0189 0.0000 0.0031 0.0862 15 6.127 7.000 0.0642 0.0189 0.0000 0.0031 0.0862 17 7.002 8.000 0.0642 0.0189 0.0000 0.0031 0.0862 19 7.877 9.000 0.0642 0.0189 0.0000 0.0031 0.0862 21 8.752 10.000 0.0642 0.0189 0.0000 0.0031 0.0862 Scattering Coefficients of Individual Components at 565.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0017 0.2757 0.5116 0.0000 0.7891 3 0.875 1.000 0.0017 0.2757 0.5116 0.0000 0.7891 5 1.750 2.000 0.0017 0.2757 0.5116 0.0000 0.7891 7 2.626 3.000 0.0017 0.2757 0.5116 0.0000 0.7891 9 3.501 4.000 0.0017 0.2757 0.5116 0.0000 0.7891 11 4.376 5.000 0.0017 0.2757 0.5116 0.0000 0.7891 13 5.251 6.000 0.0017 0.2757 0.5116 0.0000 0.7891 15 6.127 7.000 0.0017 0.2757 0.5116 0.0000 0.7891 17 7.002 8.000 0.0017 0.2757 0.5116 0.0000 0.7891 19 7.877 9.000 0.0017 0.2757 0.5116 0.0000 0.7891 21 8.752 10.000 0.0017 0.2757 0.5116 0.0000 0.7891 Backscattering Coefficients of Individual Components at 565.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00085 0.00387 0.00090 0.00000 0.00562 3 0.875 1.000 0.00085 0.00387 0.00090 0.00000 0.00562 5 1.750 2.000 0.00085 0.00387 0.00090 0.00000 0.00562 7 2.626 3.000 0.00085 0.00387 0.00090 0.00000 0.00562 9 3.501 4.000 0.00085 0.00387 0.00090 0.00000 0.00562 11 4.376 5.000 0.00085 0.00387 0.00090 0.00000 0.00562 13 5.251 6.000 0.00085 0.00387 0.00090 0.00000 0.00562 15 6.127 7.000 0.00085 0.00387 0.00090 0.00000 0.00562 17 7.002 8.000 0.00085 0.00387 0.00090 0.00000 0.00562 19 7.877 9.000 0.00085 0.00387 0.00090 0.00000 0.00562 21 8.752 10.000 0.00085 0.00387 0.00090 0.00000 0.00562 Summary of Inherent Optical Properties at 565.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0862 0.7891 0.8752 0.9015 0.00562 0.00712 3 0.875 1.000 0.0862 0.7891 0.8752 0.9015 0.00562 0.00712 5 1.750 2.000 0.0862 0.7891 0.8752 0.9015 0.00562 0.00712 7 2.626 3.000 0.0862 0.7891 0.8752 0.9015 0.00562 0.00712 9 3.501 4.000 0.0862 0.7891 0.8752 0.9015 0.00562 0.00712 11 4.376 5.000 0.0862 0.7891 0.8752 0.9015 0.00562 0.00712 13 5.251 6.000 0.0862 0.7891 0.8752 0.9015 0.00562 0.00712 15 6.127 7.000 0.0862 0.7891 0.8752 0.9015 0.00562 0.00712 17 7.002 8.000 0.0862 0.7891 0.8752 0.9015 0.00562 0.00712 19 7.877 9.000 0.0862 0.7891 0.8752 0.9015 0.00562 0.00712 21 8.752 10.000 0.0862 0.7891 0.8752 0.9015 0.00562 0.00712 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5670E-01 8 20.00 8.4861E-01 7 30.00 6.9928E-01 6 40.00 5.3874E-01 5 50.00 3.9164E-01 4 60.00 2.7189E-01 3 70.00 1.8290E-01 2 80.00 1.2170E-01 1 87.50 8.8538E-02 1 92.50 6.9580E-02 2 100.00 5.1091E-02 3 110.00 3.5455E-02 4 120.00 2.5517E-02 5 130.00 1.9326E-02 6 140.00 1.5491E-02 7 150.00 1.3137E-02 8 160.00 1.1740E-02 9 170.00 1.1001E-02 10 180.00 1.0746E-02 Asymptotic AOP values are MUu(inf) = 0.3438 MUd(inf) = 0.6908 MU(inf) = 0.6080 R(inf) = 0.0433 Lu(inf)/Ed(inf) = 0.006944 (1/sr) k(inf) = 0.1418 (1/m) absorp(check) = 0.0862 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 565.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.9102E-01 1.8963E+00 2.0873E+00 6.6325E-02 1.5608E+00 0.3472 0.8231 0.7160 4.2494E-02 1 0.00 0.00 9.6672E-02 1.6601E+00 1.7567E+00 4.2066E-02 1.5385E+00 0.4351 0.9268 0.8518 2.7343E-02 3 0.88 1.00 9.6235E-02 1.5528E+00 1.6491E+00 4.0363E-02 1.3906E+00 0.4194 0.8955 0.8188 2.9026E-02 5 1.75 2.00 9.3711E-02 1.4398E+00 1.5335E+00 3.8217E-02 1.2518E+00 0.4078 0.8694 0.7914 3.0529E-02 7 2.63 3.00 8.9807E-02 1.3255E+00 1.4153E+00 3.5808E-02 1.1229E+00 0.3987 0.8472 0.7681 3.1889E-02 9 3.50 4.00 8.4990E-02 1.2126E+00 1.2976E+00 3.3258E-02 1.0039E+00 0.3913 0.8279 0.7480 3.3128E-02 11 4.38 5.00 7.9604E-02 1.1034E+00 1.1830E+00 3.0658E-02 8.9490E-01 0.3851 0.8111 0.7306 3.4259E-02 13 5.25 6.00 7.3905E-02 9.9903E-01 1.0729E+00 2.8076E-02 7.9553E-01 0.3799 0.7963 0.7153 3.5291E-02 15 6.13 7.00 6.8090E-02 9.0056E-01 9.6865E-01 2.5559E-02 7.0543E-01 0.3754 0.7833 0.7019 3.6232E-02 17 7.00 8.00 6.2307E-02 8.0854E-01 8.7085E-01 2.3145E-02 6.2411E-01 0.3715 0.7719 0.6901 3.7085E-02 19 7.88 9.00 5.6672E-02 7.2326E-01 7.7994E-01 2.0860E-02 5.5101E-01 0.3681 0.7618 0.6797 3.7858E-02 21 8.75 10.00 5.1268E-02 6.4484E-01 6.9610E-01 1.8720E-02 4.8556E-01 0.3651 0.7530 0.6706 3.8553E-02 K-functions (units of 1/meter) at 565.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 -0.01086 0.06132 0.05735 0.03317 0.09891 0.10075 0.08543 1.000 1.010 1.005 0.01707 0.07156 0.06838 0.04865 0.10319 0.10482 0.09143 2.000 2.010 2.005 0.03536 0.07939 0.07670 0.06027 0.10699 0.10846 0.09662 3.000 3.010 3.005 0.04936 0.08603 0.08371 0.06978 0.11041 0.11175 0.10123 4.000 4.010 4.005 0.06066 0.09183 0.08979 0.07784 0.11353 0.11475 0.10539 5.000 5.010 5.005 0.07013 0.09699 0.09518 0.08487 0.11639 0.11750 0.10917 6.000 6.010 6.005 0.07832 0.10164 0.10003 0.09110 0.11900 0.12002 0.11261 7.000 7.010 7.005 0.08553 0.10586 0.10443 0.09668 0.12139 0.12232 0.11575 8.000 8.010 8.005 0.09192 0.10970 0.10843 0.10169 0.12357 0.12442 0.11860 9.000 9.010 9.005 0.09763 0.11319 0.11206 0.10621 0.12556 0.12632 0.12118 10.000 10.010 10.005 0.10273 0.11635 0.11534 0.11026 0.12735 0.12804 0.12351 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 565.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 3.88273E-01 5.35588E-03 8.17017E-03 1.35260E-02 3.43149E-03 0.021042 9 1 10.0 0.0 180.0 1.70229E-01 5.37503E-03 3.59363E-03 8.96865E-03 3.44376E-03 0.021110 9 4 10.0 45.0 135.0 1.90282E-01 5.37743E-03 4.01784E-03 9.39527E-03 3.44530E-03 0.021115 9 7 10.0 90.0 90.0 2.65677E-01 5.38343E-03 5.61158E-03 1.09950E-02 3.44914E-03 0.021122 8 1 20.0 0.0 180.0 1.01766E-01 5.45115E-03 2.17209E-03 7.62324E-03 3.49253E-03 0.021344 8 4 20.0 45.0 135.0 1.13560E-01 5.44380E-03 2.42376E-03 7.86757E-03 3.48782E-03 0.021344 8 7 20.0 90.0 90.0 1.59588E-01 5.47589E-03 3.40625E-03 8.88214E-03 3.50838E-03 0.021344 7 1 30.0 0.0 180.0 7.17038E-02 5.59968E-03 1.60100E-03 7.20068E-03 3.58769E-03 0.022328 7 4 30.0 45.0 135.0 7.83044E-02 5.62357E-03 1.74839E-03 7.37196E-03 3.60300E-03 0.022328 7 7 30.0 90.0 90.0 1.02935E-01 5.69277E-03 2.29806E-03 7.99083E-03 3.64733E-03 0.022325 6 1 40.0 0.0 180.0 5.89024E-02 5.71914E-03 1.51128E-03 7.23042E-03 3.66423E-03 0.025657 6 4 40.0 45.0 135.0 6.30658E-02 5.75334E-03 1.61825E-03 7.37158E-03 3.68614E-03 0.025660 6 7 40.0 90.0 90.0 7.74185E-02 5.83702E-03 1.98649E-03 7.82351E-03 3.73975E-03 0.025659 5 1 50.0 0.0 180.0 5.45569E-02 5.90469E-03 1.93581E-03 7.84050E-03 3.78311E-03 0.035482 5 4 50.0 45.0 135.0 5.76216E-02 5.93709E-03 2.04573E-03 7.98282E-03 3.80387E-03 0.035503 5 7 50.0 90.0 90.0 6.74667E-02 6.10866E-03 2.39513E-03 8.50379E-03 3.91379E-03 0.035501 4 1 60.0 0.0 180.0 5.65879E-02 5.98829E-03 3.57680E-03 9.56510E-03 3.83667E-03 0.063208 4 4 60.0 45.0 135.0 5.90348E-02 6.06731E-03 3.73143E-03 9.79874E-03 3.88730E-03 0.063207 4 7 60.0 90.0 90.0 6.67923E-02 6.20439E-03 4.22123E-03 1.04256E-02 3.97513E-03 0.063199 3 1 70.0 0.0 180.0 6.78650E-02 5.77568E-03 9.60067E-03 1.53764E-02 3.70046E-03 0.141467 3 4 70.0 45.0 135.0 6.96587E-02 5.81050E-03 9.84209E-03 1.56526E-02 3.72276E-03 0.141290 3 7 70.0 90.0 90.0 7.59688E-02 5.99309E-03 1.07446E-02 1.67377E-02 3.83975E-03 0.141434 2 1 80.0 0.0 180.0 1.01203E-01 4.35604E-03 3.72007E-02 4.15568E-02 2.79090E-03 0.367584 2 4 80.0 45.0 135.0 1.01691E-01 4.41209E-03 3.73553E-02 4.17674E-02 2.82681E-03 0.367340 2 7 80.0 90.0 90.0 1.05732E-01 4.59137E-03 3.88686E-02 4.34600E-02 2.94167E-03 0.367613 1 1 87.5 0.0 180.0 1.52567E-01 1.97549E-03 1.17950E-01 1.19926E-01 1.26569E-03 0.773106 1 4 87.5 45.0 135.0 1.50740E-01 2.07241E-03 1.16543E-01 1.18616E-01 1.32779E-03 0.773143 1 7 87.5 90.0 90.0 1.50459E-01 2.13428E-03 1.16240E-01 1.18375E-01 1.36742E-03 0.772570 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 565.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.353E-02 3.883E-01 1.362E-01 1.344E-01 1.434E-01 8.666E-03 4.903E+00 5.356E-03 3.431E-03 1 0.00 0.00 9.849E-03 5.532E+00 1.768E-02 2.015E-02 2.458E-02 6.402E-03 4.271E+00 3 0.88 1.00 9.015E-03 4.569E+00 1.955E-02 2.308E-02 2.932E-02 6.483E-03 4.477E+00 5 1.75 2.00 8.206E-03 3.651E+00 2.043E-02 2.456E-02 3.182E-02 6.555E-03 4.657E+00 7 2.63 3.00 7.433E-03 2.874E+00 2.061E-02 2.509E-02 3.295E-02 6.619E-03 4.818E+00 9 3.50 4.00 6.703E-03 2.251E+00 2.030E-02 2.494E-02 3.306E-02 6.677E-03 4.962E+00 11 4.38 5.00 6.021E-03 1.764E+00 1.967E-02 2.431E-02 3.239E-02 6.728E-03 5.092E+00 13 5.25 6.00 5.389E-03 1.389E+00 1.881E-02 2.334E-02 3.115E-02 6.774E-03 5.210E+00 15 6.13 7.00 4.808E-03 1.100E+00 1.781E-02 2.214E-02 2.949E-02 6.815E-03 5.316E+00 17 7.00 8.00 4.276E-03 8.781E-01 1.672E-02 2.078E-02 2.756E-02 6.851E-03 5.413E+00 19 7.88 9.00 3.793E-03 7.064E-01 1.558E-02 1.933E-02 2.546E-02 6.883E-03 5.500E+00 21 8.75 10.00 3.356E-03 5.728E-01 1.443E-02 1.783E-02 2.330E-02 6.912E-03 5.578E+00 Waveband 22 of 40 completed in 4.0 sec. * * * * * Output for wavelength band 23 (570.0 to 580.0 nm; nominal wavelength = 575.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 32.6 m at 575.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 570.0 nm to 580.0 nm: Ed(diffuse) = 3.581E-01 Ed(direct) = 1.205E+00 Ed(total) = 1.563E+00 Absorption Coefficients of Individual Components at 575.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0772 0.0176 0.0000 0.0027 0.0975 3 0.886 1.000 0.0772 0.0176 0.0000 0.0027 0.0975 5 1.773 2.000 0.0772 0.0176 0.0000 0.0027 0.0975 7 2.659 3.000 0.0772 0.0176 0.0000 0.0027 0.0975 9 3.546 4.000 0.0772 0.0176 0.0000 0.0027 0.0975 11 4.432 5.000 0.0772 0.0176 0.0000 0.0027 0.0975 13 5.319 6.000 0.0772 0.0176 0.0000 0.0027 0.0975 15 6.205 7.000 0.0772 0.0176 0.0000 0.0027 0.0975 17 7.092 8.000 0.0772 0.0176 0.0000 0.0027 0.0975 19 7.978 9.000 0.0772 0.0176 0.0000 0.0027 0.0975 21 8.864 10.000 0.0772 0.0176 0.0000 0.0027 0.0975 Scattering Coefficients of Individual Components at 575.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0016 0.2757 0.5116 0.0000 0.7889 3 0.886 1.000 0.0016 0.2757 0.5116 0.0000 0.7889 5 1.773 2.000 0.0016 0.2757 0.5116 0.0000 0.7889 7 2.659 3.000 0.0016 0.2757 0.5116 0.0000 0.7889 9 3.546 4.000 0.0016 0.2757 0.5116 0.0000 0.7889 11 4.432 5.000 0.0016 0.2757 0.5116 0.0000 0.7889 13 5.319 6.000 0.0016 0.2757 0.5116 0.0000 0.7889 15 6.205 7.000 0.0016 0.2757 0.5116 0.0000 0.7889 17 7.092 8.000 0.0016 0.2757 0.5116 0.0000 0.7889 19 7.978 9.000 0.0016 0.2757 0.5116 0.0000 0.7889 21 8.864 10.000 0.0016 0.2757 0.5116 0.0000 0.7889 Backscattering Coefficients of Individual Components at 575.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00079 0.00387 0.00090 0.00000 0.00556 3 0.886 1.000 0.00079 0.00387 0.00090 0.00000 0.00556 5 1.773 2.000 0.00079 0.00387 0.00090 0.00000 0.00556 7 2.659 3.000 0.00079 0.00387 0.00090 0.00000 0.00556 9 3.546 4.000 0.00079 0.00387 0.00090 0.00000 0.00556 11 4.432 5.000 0.00079 0.00387 0.00090 0.00000 0.00556 13 5.319 6.000 0.00079 0.00387 0.00090 0.00000 0.00556 15 6.205 7.000 0.00079 0.00387 0.00090 0.00000 0.00556 17 7.092 8.000 0.00079 0.00387 0.00090 0.00000 0.00556 19 7.978 9.000 0.00079 0.00387 0.00090 0.00000 0.00556 21 8.864 10.000 0.00079 0.00387 0.00090 0.00000 0.00556 Summary of Inherent Optical Properties at 575.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0975 0.7889 0.8864 0.8900 0.00556 0.00704 3 0.886 1.000 0.0975 0.7889 0.8864 0.8900 0.00556 0.00704 5 1.773 2.000 0.0975 0.7889 0.8864 0.8900 0.00556 0.00704 7 2.659 3.000 0.0975 0.7889 0.8864 0.8900 0.00556 0.00704 9 3.546 4.000 0.0975 0.7889 0.8864 0.8900 0.00556 0.00704 11 4.432 5.000 0.0975 0.7889 0.8864 0.8900 0.00556 0.00704 13 5.319 6.000 0.0975 0.7889 0.8864 0.8900 0.00556 0.00704 15 6.205 7.000 0.0975 0.7889 0.8864 0.8900 0.00556 0.00704 17 7.092 8.000 0.0975 0.7889 0.8864 0.8900 0.00556 0.00704 19 7.978 9.000 0.0975 0.7889 0.8864 0.8900 0.00556 0.00704 21 8.864 10.000 0.0975 0.7889 0.8864 0.8900 0.00556 0.00704 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5383E-01 8 20.00 8.3923E-01 7 30.00 6.8268E-01 6 40.00 5.1706E-01 5 50.00 3.6834E-01 4 60.00 2.5005E-01 3 70.00 1.6433E-01 2 80.00 1.0690E-01 1 87.50 7.6546E-02 1 92.50 5.9521E-02 2 100.00 4.3144E-02 3 110.00 2.9537E-02 4 120.00 2.1057E-02 5 130.00 1.5863E-02 6 140.00 1.2691E-02 7 150.00 1.0765E-02 8 160.00 9.6329E-03 9 170.00 9.0367E-03 10 180.00 8.8317E-03 Asymptotic AOP values are MUu(inf) = 0.3400 MUd(inf) = 0.7004 MU(inf) = 0.6264 R(inf) = 0.0372 Lu(inf)/Ed(inf) = 0.005920 (1/sr) k(inf) = 0.1557 (1/m) absorp(check) = 0.0975 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 575.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.8313E-01 1.8913E+00 2.0744E+00 6.3306E-02 1.5629E+00 0.3457 0.8264 0.7229 4.0506E-02 1 0.00 0.00 8.3414E-02 1.6515E+00 1.7349E+00 3.6020E-02 1.5375E+00 0.4318 0.9310 0.8655 2.3427E-02 3 0.89 1.00 8.2458E-02 1.5264E+00 1.6088E+00 3.4237E-02 1.3733E+00 0.4152 0.8997 0.8323 2.4931E-02 5 1.77 2.00 7.9512E-02 1.3975E+00 1.4770E+00 3.2069E-02 1.2212E+00 0.4033 0.8739 0.8051 2.6261E-02 7 2.66 3.00 7.5356E-02 1.2698E+00 1.3451E+00 2.9702E-02 1.0817E+00 0.3942 0.8519 0.7821 2.7458E-02 9 3.55 4.00 7.0473E-02 1.1463E+00 1.2168E+00 2.7257E-02 9.5489E-01 0.3868 0.8330 0.7624 2.8545E-02 11 4.43 5.00 6.5197E-02 1.0290E+00 1.0942E+00 2.4817E-02 8.4025E-01 0.3806 0.8165 0.7452 2.9535E-02 13 5.32 6.00 5.9766E-02 9.1911E-01 9.7887E-01 2.2440E-02 7.3723E-01 0.3755 0.8021 0.7302 3.0438E-02 15 6.21 7.00 5.4355E-02 8.1720E-01 8.7155E-01 2.0168E-02 6.4515E-01 0.3710 0.7895 0.7171 3.1260E-02 17 7.09 8.00 4.9090E-02 7.2360E-01 7.7269E-01 1.8026E-02 5.6321E-01 0.3672 0.7783 0.7056 3.2007E-02 19 7.98 9.00 4.4060E-02 6.3835E-01 6.8241E-01 1.6034E-02 4.9060E-01 0.3639 0.7686 0.6954 3.2682E-02 21 8.86 10.00 3.9328E-02 5.6123E-01 6.0056E-01 1.4199E-02 4.2652E-01 0.3610 0.7600 0.6866 3.3290E-02 K-functions (units of 1/meter) at 575.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 -0.00685 0.07270 0.06887 0.04137 0.11061 0.11227 0.09644 1.000 1.010 1.005 0.02592 0.08399 0.08101 0.05892 0.11530 0.11675 0.10294 2.000 2.010 2.005 0.04596 0.09229 0.08980 0.07152 0.11939 0.12069 0.10848 3.000 3.010 3.005 0.06092 0.09924 0.09709 0.08162 0.12306 0.12423 0.11336 4.000 4.010 4.005 0.07280 0.10525 0.10337 0.09009 0.12638 0.12745 0.11774 5.000 5.010 5.005 0.08267 0.11057 0.10891 0.09741 0.12940 0.13038 0.12169 6.000 6.010 6.005 0.09115 0.11535 0.11387 0.10387 0.13216 0.13305 0.12528 7.000 7.010 7.005 0.09857 0.11967 0.11835 0.10963 0.13468 0.13549 0.12854 8.000 8.010 8.005 0.10515 0.12358 0.12241 0.11480 0.13697 0.13770 0.13150 9.000 9.010 9.005 0.11099 0.12713 0.12608 0.11944 0.13904 0.13970 0.13417 10.000 10.010 10.005 0.11620 0.13033 0.12941 0.12359 0.14091 0.14150 0.13658 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 575.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 3.79217E-01 4.56762E-03 7.97960E-03 1.25472E-02 2.92258E-03 0.021042 9 1 10.0 0.0 180.0 1.66259E-01 4.58676E-03 3.50978E-03 8.09653E-03 2.93482E-03 0.021110 9 4 10.0 45.0 135.0 1.85846E-01 4.58719E-03 3.92418E-03 8.51137E-03 2.93510E-03 0.021115 9 7 10.0 90.0 90.0 2.59464E-01 4.58916E-03 5.48040E-03 1.00696E-02 2.93636E-03 0.021122 8 1 20.0 0.0 180.0 9.93925E-02 4.65095E-03 2.12142E-03 6.77238E-03 2.97590E-03 0.021344 8 4 20.0 45.0 135.0 1.10911E-01 4.64246E-03 2.36723E-03 7.00968E-03 2.97046E-03 0.021344 8 7 20.0 90.0 90.0 1.55866E-01 4.66500E-03 3.32680E-03 7.99180E-03 2.98489E-03 0.021344 7 1 30.0 0.0 180.0 7.00313E-02 4.77646E-03 1.56366E-03 6.34012E-03 3.05621E-03 0.022328 7 4 30.0 45.0 135.0 7.64779E-02 4.79412E-03 1.70761E-03 6.50173E-03 3.06751E-03 0.022328 7 7 30.0 90.0 90.0 1.00534E-01 4.84681E-03 2.24446E-03 7.09126E-03 3.10121E-03 0.022325 6 1 40.0 0.0 180.0 5.75285E-02 4.87493E-03 1.47603E-03 6.35096E-03 3.11921E-03 0.025657 6 4 40.0 45.0 135.0 6.15948E-02 4.90058E-03 1.58050E-03 6.48108E-03 3.13562E-03 0.025660 6 7 40.0 90.0 90.0 7.56127E-02 4.96375E-03 1.94016E-03 6.90391E-03 3.17604E-03 0.025659 5 1 50.0 0.0 180.0 5.32843E-02 5.03237E-03 1.89066E-03 6.92303E-03 3.21995E-03 0.035482 5 4 50.0 45.0 135.0 5.62776E-02 5.05625E-03 1.99801E-03 7.05426E-03 3.23523E-03 0.035503 5 7 50.0 90.0 90.0 6.58930E-02 5.19386E-03 2.33927E-03 7.53313E-03 3.32328E-03 0.035501 4 1 60.0 0.0 180.0 5.52679E-02 5.10278E-03 3.49338E-03 8.59616E-03 3.26500E-03 0.063208 4 4 60.0 45.0 135.0 5.76578E-02 5.16614E-03 3.64440E-03 8.81054E-03 3.30554E-03 0.063207 4 7 60.0 90.0 90.0 6.52343E-02 5.27423E-03 4.12277E-03 9.39700E-03 3.37470E-03 0.063199 3 1 70.0 0.0 180.0 6.62821E-02 4.92336E-03 9.37674E-03 1.43001E-02 3.15020E-03 0.141467 3 4 70.0 45.0 135.0 6.80339E-02 4.94943E-03 9.61253E-03 1.45620E-02 3.16688E-03 0.141290 3 7 70.0 90.0 90.0 7.41969E-02 5.09726E-03 1.04940E-02 1.55912E-02 3.26147E-03 0.141434 2 1 80.0 0.0 180.0 9.88427E-02 3.71649E-03 3.63330E-02 4.00495E-02 2.37799E-03 0.367584 2 4 80.0 45.0 135.0 9.93195E-02 3.76190E-03 3.64840E-02 4.02459E-02 2.40704E-03 0.367340 2 7 80.0 90.0 90.0 1.03266E-01 3.90995E-03 3.79620E-02 4.18719E-02 2.50177E-03 0.367613 1 1 87.5 0.0 180.0 1.49008E-01 1.68545E-03 1.15199E-01 1.16885E-01 1.07843E-03 0.773106 1 4 87.5 45.0 135.0 1.47224E-01 1.76701E-03 1.13825E-01 1.15592E-01 1.13062E-03 0.773143 1 7 87.5 90.0 90.0 1.46950E-01 1.81753E-03 1.13529E-01 1.15347E-01 1.16294E-03 0.772570 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 575.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.255E-02 3.792E-01 1.329E-01 1.311E-01 1.400E-01 8.028E-03 5.045E+00 4.568E-03 2.923E-03 1 0.00 0.00 8.399E-03 5.560E+00 1.549E-02 1.772E-02 2.180E-02 5.463E-03 4.288E+00 3 0.89 1.00 7.602E-03 4.542E+00 1.717E-02 2.039E-02 2.616E-02 5.536E-03 4.504E+00 5 1.77 2.00 6.839E-03 3.589E+00 1.780E-02 2.154E-02 2.817E-02 5.600E-03 4.689E+00 7 2.66 3.00 6.121E-03 2.793E+00 1.777E-02 2.177E-02 2.884E-02 5.658E-03 4.853E+00 9 3.55 4.00 5.453E-03 2.162E+00 1.730E-02 2.138E-02 2.858E-02 5.710E-03 4.999E+00 11 4.43 5.00 4.838E-03 1.675E+00 1.654E-02 2.057E-02 2.763E-02 5.757E-03 5.130E+00 13 5.32 6.00 4.276E-03 1.303E+00 1.562E-02 1.949E-02 2.621E-02 5.799E-03 5.248E+00 15 6.21 7.00 3.766E-03 1.020E+00 1.459E-02 1.824E-02 2.447E-02 5.837E-03 5.355E+00 17 7.09 8.00 3.307E-03 8.047E-01 1.352E-02 1.688E-02 2.254E-02 5.871E-03 5.451E+00 19 7.98 9.00 2.895E-03 6.396E-01 1.243E-02 1.549E-02 2.053E-02 5.902E-03 5.538E+00 21 8.86 10.00 2.529E-03 5.123E-01 1.136E-02 1.410E-02 1.851E-02 5.929E-03 5.615E+00 Waveband 23 of 40 completed in 4.1 sec. * * * * * Output for wavelength band 24 (580.0 to 590.0 nm; nominal wavelength = 585.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 31.8 m at 585.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 580.0 nm to 590.0 nm: Ed(diffuse) = 3.414E-01 Ed(direct) = 1.185E+00 Ed(total) = 1.526E+00 Absorption Coefficients of Individual Components at 585.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1100 0.0176 0.0000 0.0023 0.1299 3 0.919 1.000 0.1100 0.0176 0.0000 0.0023 0.1299 5 1.838 2.000 0.1100 0.0176 0.0000 0.0023 0.1299 7 2.756 3.000 0.1100 0.0176 0.0000 0.0023 0.1299 9 3.675 4.000 0.1100 0.0176 0.0000 0.0023 0.1299 11 4.594 5.000 0.1100 0.0176 0.0000 0.0023 0.1299 13 5.513 6.000 0.1100 0.0176 0.0000 0.0023 0.1299 15 6.431 7.000 0.1100 0.0176 0.0000 0.0023 0.1299 17 7.350 8.000 0.1100 0.0176 0.0000 0.0023 0.1299 19 8.269 9.000 0.1100 0.0176 0.0000 0.0023 0.1299 21 9.188 10.000 0.1100 0.0176 0.0000 0.0023 0.1299 Scattering Coefficients of Individual Components at 585.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0015 0.2757 0.5116 0.0000 0.7888 3 0.919 1.000 0.0015 0.2757 0.5116 0.0000 0.7888 5 1.838 2.000 0.0015 0.2757 0.5116 0.0000 0.7888 7 2.756 3.000 0.0015 0.2757 0.5116 0.0000 0.7888 9 3.675 4.000 0.0015 0.2757 0.5116 0.0000 0.7888 11 4.594 5.000 0.0015 0.2757 0.5116 0.0000 0.7888 13 5.513 6.000 0.0015 0.2757 0.5116 0.0000 0.7888 15 6.431 7.000 0.0015 0.2757 0.5116 0.0000 0.7888 17 7.350 8.000 0.0015 0.2757 0.5116 0.0000 0.7888 19 8.269 9.000 0.0015 0.2757 0.5116 0.0000 0.7888 21 9.188 10.000 0.0015 0.2757 0.5116 0.0000 0.7888 Backscattering Coefficients of Individual Components at 585.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00073 0.00387 0.00090 0.00000 0.00550 3 0.919 1.000 0.00073 0.00387 0.00090 0.00000 0.00550 5 1.838 2.000 0.00073 0.00387 0.00090 0.00000 0.00550 7 2.756 3.000 0.00073 0.00387 0.00090 0.00000 0.00550 9 3.675 4.000 0.00073 0.00387 0.00090 0.00000 0.00550 11 4.594 5.000 0.00073 0.00387 0.00090 0.00000 0.00550 13 5.513 6.000 0.00073 0.00387 0.00090 0.00000 0.00550 15 6.431 7.000 0.00073 0.00387 0.00090 0.00000 0.00550 17 7.350 8.000 0.00073 0.00387 0.00090 0.00000 0.00550 19 8.269 9.000 0.00073 0.00387 0.00090 0.00000 0.00550 21 9.188 10.000 0.00073 0.00387 0.00090 0.00000 0.00550 Summary of Inherent Optical Properties at 585.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1299 0.7888 0.9188 0.8586 0.00550 0.00697 3 0.919 1.000 0.1299 0.7888 0.9188 0.8586 0.00550 0.00697 5 1.838 2.000 0.1299 0.7888 0.9188 0.8586 0.00550 0.00697 7 2.756 3.000 0.1299 0.7888 0.9188 0.8586 0.00550 0.00697 9 3.675 4.000 0.1299 0.7888 0.9188 0.8586 0.00550 0.00697 11 4.594 5.000 0.1299 0.7888 0.9188 0.8586 0.00550 0.00697 13 5.513 6.000 0.1299 0.7888 0.9188 0.8586 0.00550 0.00697 15 6.431 7.000 0.1299 0.7888 0.9188 0.8586 0.00550 0.00697 17 7.350 8.000 0.1299 0.7888 0.9188 0.8586 0.00550 0.00697 19 8.269 9.000 0.1299 0.7888 0.9188 0.8586 0.00550 0.00697 21 9.188 10.000 0.1299 0.7888 0.9188 0.8586 0.00550 0.00697 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4631E-01 8 20.00 8.1505E-01 7 30.00 6.4097E-01 6 40.00 4.6443E-01 5 50.00 3.1403E-01 4 60.00 2.0141E-01 3 70.00 1.2492E-01 2 80.00 7.6929E-02 1 87.50 5.3064E-02 1 92.50 4.0302E-02 2 100.00 2.8418E-02 3 110.00 1.8936E-02 4 120.00 1.3283E-02 5 130.00 9.9497E-03 6 140.00 7.9743E-03 7 150.00 6.8037E-03 8 160.00 6.1272E-03 9 170.00 5.7753E-03 10 180.00 5.6548E-03 Asymptotic AOP values are MUu(inf) = 0.3337 MUd(inf) = 0.7235 MU(inf) = 0.6672 R(inf) = 0.0260 Lu(inf)/Ed(inf) = 0.004152 (1/sr) k(inf) = 0.1948 (1/m) absorp(check) = 0.1299 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 585.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.6761E-01 1.8400E+00 2.0077E+00 5.6971E-02 1.5262E+00 0.3399 0.8295 0.7318 3.7327E-02 1 0.00 0.00 5.8611E-02 1.5948E+00 1.6534E+00 2.4909E-02 1.4961E+00 0.4250 0.9381 0.8898 1.6649E-02 3 0.92 1.00 5.6499E-02 1.4235E+00 1.4800E+00 2.2971E-02 1.2911E+00 0.4066 0.9070 0.8568 1.7792E-02 5 1.84 2.00 5.2750E-02 1.2565E+00 1.3092E+00 2.0804E-02 1.1082E+00 0.3944 0.8820 0.8306 1.8772E-02 7 2.76 3.00 4.8269E-02 1.0996E+00 1.1479E+00 1.8599E-02 9.4698E-01 0.3853 0.8612 0.8088 1.9641E-02 9 3.68 4.00 4.3523E-02 9.5551E-01 9.9903E-01 1.6460E-02 8.0591E-01 0.3782 0.8434 0.7902 2.0425E-02 11 4.59 5.00 3.8789E-02 8.2527E-01 8.6406E-01 1.4445E-02 6.8337E-01 0.3724 0.8281 0.7742 2.1137E-02 13 5.51 6.00 3.4238E-02 7.0897E-01 7.4321E-01 1.2584E-02 5.7757E-01 0.3675 0.8147 0.7602 2.1787E-02 15 6.43 7.00 2.9972E-02 6.0615E-01 6.3612E-01 1.0893E-02 4.8671E-01 0.3634 0.8030 0.7480 2.2380E-02 17 7.35 8.00 2.6048E-02 5.1602E-01 5.4207E-01 9.3759E-03 4.0905E-01 0.3599 0.7927 0.7373 2.2921E-02 19 8.27 9.00 2.2495E-02 4.3759E-01 4.6008E-01 8.0297E-03 3.4295E-01 0.3570 0.7837 0.7280 2.3414E-02 21 9.19 10.00 1.9318E-02 3.6980E-01 3.8912E-01 6.8462E-03 2.8692E-01 0.3544 0.7759 0.7198 2.3861E-02 K-functions (units of 1/meter) at 585.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.00976 0.10581 0.10241 0.06831 0.14440 0.14569 0.12902 1.000 1.010 1.005 0.05592 0.11991 0.11747 0.09139 0.15021 0.15128 0.13683 2.000 2.010 2.005 0.08000 0.12944 0.12745 0.10619 0.15509 0.15603 0.14315 3.000 3.010 3.005 0.09687 0.13713 0.13544 0.11748 0.15938 0.16022 0.14856 4.000 4.010 4.005 0.10979 0.14365 0.14218 0.12668 0.16320 0.16396 0.15331 5.000 5.010 5.005 0.12030 0.14935 0.14804 0.13449 0.16664 0.16734 0.15755 6.000 6.010 6.005 0.12919 0.15440 0.15324 0.14128 0.16975 0.17038 0.16134 7.000 7.010 7.005 0.13689 0.15894 0.15790 0.14728 0.17256 0.17314 0.16474 8.000 8.010 8.005 0.14365 0.16301 0.16208 0.15260 0.17509 0.17561 0.16779 9.000 9.010 9.005 0.14961 0.16666 0.16583 0.15733 0.17736 0.17784 0.17051 10.000 10.010 10.005 0.15488 0.16994 0.16919 0.16154 0.17939 0.17983 0.17292 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 585.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 3.61579E-01 3.15793E-03 7.60845E-03 1.07664E-02 2.06910E-03 0.021042 9 1 10.0 0.0 180.0 1.58526E-01 3.17617E-03 3.34650E-03 6.52267E-03 2.08105E-03 0.021110 9 4 10.0 45.0 135.0 1.77204E-01 3.17343E-03 3.74170E-03 6.91513E-03 2.07925E-03 0.021115 9 7 10.0 90.0 90.0 2.47381E-01 3.16866E-03 5.22523E-03 8.39390E-03 2.07613E-03 0.021122 8 1 20.0 0.0 180.0 9.47695E-02 3.21843E-03 2.02275E-03 5.24118E-03 2.10874E-03 0.021344 8 4 20.0 45.0 135.0 1.05752E-01 3.20828E-03 2.25712E-03 5.46540E-03 2.10208E-03 0.021344 8 7 20.0 90.0 90.0 1.48616E-01 3.21431E-03 3.17206E-03 6.38637E-03 2.10604E-03 0.021344 7 1 30.0 0.0 180.0 6.67740E-02 3.30214E-03 1.49093E-03 4.79307E-03 2.16358E-03 0.022328 7 4 30.0 45.0 135.0 7.29208E-02 3.30904E-03 1.62818E-03 4.93723E-03 2.16811E-03 0.022328 7 7 30.0 90.0 90.0 9.58577E-02 3.33272E-03 2.14006E-03 5.47279E-03 2.18362E-03 0.022325 6 1 40.0 0.0 180.0 5.48527E-02 3.36045E-03 1.40738E-03 4.76783E-03 2.20179E-03 0.025657 6 4 40.0 45.0 135.0 5.87298E-02 3.37103E-03 1.50699E-03 4.87802E-03 2.20872E-03 0.025660 6 7 40.0 90.0 90.0 7.20958E-02 3.39737E-03 1.84992E-03 5.24728E-03 2.22598E-03 0.025659 5 1 50.0 0.0 180.0 5.08059E-02 3.46441E-03 1.80272E-03 5.26713E-03 2.26990E-03 0.035482 5 4 50.0 45.0 135.0 5.36600E-02 3.47300E-03 1.90508E-03 5.37808E-03 2.27554E-03 0.035503 5 7 50.0 90.0 90.0 6.28281E-02 3.54860E-03 2.23046E-03 5.77906E-03 2.32507E-03 0.035501 4 1 60.0 0.0 180.0 5.26973E-02 3.50749E-03 3.33089E-03 6.83838E-03 2.29813E-03 0.063208 4 4 60.0 45.0 135.0 5.49760E-02 3.54242E-03 3.47489E-03 7.01731E-03 2.32102E-03 0.063207 4 7 60.0 90.0 90.0 6.22001E-02 3.59630E-03 3.93101E-03 7.52731E-03 2.35632E-03 0.063199 3 1 70.0 0.0 180.0 6.31991E-02 3.38429E-03 8.94060E-03 1.23249E-02 2.21741E-03 0.141467 3 4 70.0 45.0 135.0 6.48695E-02 3.39403E-03 9.16542E-03 1.25595E-02 2.22379E-03 0.141290 3 7 70.0 90.0 90.0 7.07458E-02 3.47624E-03 1.00059E-02 1.34821E-02 2.27766E-03 0.141434 2 1 80.0 0.0 180.0 9.42452E-02 2.55492E-03 3.46431E-02 3.71980E-02 1.67400E-03 0.367584 2 4 80.0 45.0 135.0 9.46999E-02 2.58010E-03 3.47871E-02 3.73672E-02 1.69050E-03 0.367340 2 7 80.0 90.0 90.0 9.84631E-02 2.66763E-03 3.61963E-02 3.88639E-02 1.74785E-03 0.367613 1 1 87.5 0.0 180.0 1.42077E-01 1.15867E-03 1.09841E-01 1.11000E-01 7.59171E-04 0.773106 1 4 87.5 45.0 135.0 1.40376E-01 1.21190E-03 1.08531E-01 1.09742E-01 7.94048E-04 0.773143 1 7 87.5 90.0 90.0 1.40115E-01 1.24004E-03 1.08249E-01 1.09489E-01 8.12482E-04 0.772570 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 585.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.077E-02 3.616E-01 1.265E-01 1.248E-01 1.332E-01 7.054E-03 5.292E+00 3.158E-03 2.069E-03 1 0.00 0.00 5.807E-03 5.449E+00 1.130E-02 1.301E-02 1.624E-02 3.881E-03 4.289E+00 3 0.92 1.00 5.084E-03 4.310E+00 1.249E-02 1.500E-02 1.958E-02 3.937E-03 4.519E+00 5 1.84 2.00 4.419E-03 3.296E+00 1.259E-02 1.539E-02 2.045E-02 3.988E-03 4.708E+00 7 2.76 3.00 3.819E-03 2.483E+00 1.212E-02 1.500E-02 2.017E-02 4.033E-03 4.870E+00 9 3.68 4.00 3.284E-03 1.859E+00 1.136E-02 1.417E-02 1.921E-02 4.075E-03 5.012E+00 11 4.59 5.00 2.811E-03 1.393E+00 1.045E-02 1.310E-02 1.783E-02 4.114E-03 5.138E+00 13 5.51 6.00 2.397E-03 1.048E+00 9.484E-03 1.193E-02 1.623E-02 4.150E-03 5.250E+00 15 6.43 7.00 2.036E-03 7.933E-01 8.519E-03 1.072E-02 1.453E-02 4.184E-03 5.349E+00 17 7.35 8.00 1.724E-03 6.047E-01 7.587E-03 9.534E-03 1.284E-02 4.216E-03 5.437E+00 19 8.27 9.00 1.456E-03 4.644E-01 6.707E-03 8.400E-03 1.122E-02 4.246E-03 5.515E+00 21 9.19 10.00 1.226E-03 3.594E-01 5.891E-03 7.343E-03 9.708E-03 4.274E-03 5.583E+00 Waveband 24 of 40 completed in 4.6 sec. * * * * * Output for wavelength band 25 (590.0 to 600.0 nm; nominal wavelength = 595.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 30.5 m at 595.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 590.0 nm to 600.0 nm: Ed(diffuse) = 3.215E-01 Ed(direct) = 1.151E+00 Ed(total) = 1.472E+00 Absorption Coefficients of Individual Components at 595.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1672 0.0171 0.0000 0.0020 0.1863 3 0.975 1.000 0.1672 0.0171 0.0000 0.0020 0.1863 5 1.950 2.000 0.1672 0.0171 0.0000 0.0020 0.1863 7 2.925 3.000 0.1672 0.0171 0.0000 0.0020 0.1863 9 3.900 4.000 0.1672 0.0171 0.0000 0.0020 0.1863 11 4.875 5.000 0.1672 0.0171 0.0000 0.0020 0.1863 13 5.850 6.000 0.1672 0.0171 0.0000 0.0020 0.1863 15 6.825 7.000 0.1672 0.0171 0.0000 0.0020 0.1863 17 7.801 8.000 0.1672 0.0171 0.0000 0.0020 0.1863 19 8.776 9.000 0.1672 0.0171 0.0000 0.0020 0.1863 21 9.751 10.000 0.1672 0.0171 0.0000 0.0020 0.1863 Scattering Coefficients of Individual Components at 595.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0014 0.2757 0.5116 0.0000 0.7887 3 0.975 1.000 0.0014 0.2757 0.5116 0.0000 0.7887 5 1.950 2.000 0.0014 0.2757 0.5116 0.0000 0.7887 7 2.925 3.000 0.0014 0.2757 0.5116 0.0000 0.7887 9 3.900 4.000 0.0014 0.2757 0.5116 0.0000 0.7887 11 4.875 5.000 0.0014 0.2757 0.5116 0.0000 0.7887 13 5.850 6.000 0.0014 0.2757 0.5116 0.0000 0.7887 15 6.825 7.000 0.0014 0.2757 0.5116 0.0000 0.7887 17 7.801 8.000 0.0014 0.2757 0.5116 0.0000 0.7887 19 8.776 9.000 0.0014 0.2757 0.5116 0.0000 0.7887 21 9.751 10.000 0.0014 0.2757 0.5116 0.0000 0.7887 Backscattering Coefficients of Individual Components at 595.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00068 0.00387 0.00090 0.00000 0.00545 3 0.975 1.000 0.00068 0.00387 0.00090 0.00000 0.00545 5 1.950 2.000 0.00068 0.00387 0.00090 0.00000 0.00545 7 2.925 3.000 0.00068 0.00387 0.00090 0.00000 0.00545 9 3.900 4.000 0.00068 0.00387 0.00090 0.00000 0.00545 11 4.875 5.000 0.00068 0.00387 0.00090 0.00000 0.00545 13 5.850 6.000 0.00068 0.00387 0.00090 0.00000 0.00545 15 6.825 7.000 0.00068 0.00387 0.00090 0.00000 0.00545 17 7.801 8.000 0.00068 0.00387 0.00090 0.00000 0.00545 19 8.776 9.000 0.00068 0.00387 0.00090 0.00000 0.00545 21 9.751 10.000 0.00068 0.00387 0.00090 0.00000 0.00545 Summary of Inherent Optical Properties at 595.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1863 0.7887 0.9751 0.8089 0.00545 0.00691 3 0.975 1.000 0.1863 0.7887 0.9751 0.8089 0.00545 0.00691 5 1.950 2.000 0.1863 0.7887 0.9751 0.8089 0.00545 0.00691 7 2.925 3.000 0.1863 0.7887 0.9751 0.8089 0.00545 0.00691 9 3.900 4.000 0.1863 0.7887 0.9751 0.8089 0.00545 0.00691 11 4.875 5.000 0.1863 0.7887 0.9751 0.8089 0.00545 0.00691 13 5.850 6.000 0.1863 0.7887 0.9751 0.8089 0.00545 0.00691 15 6.825 7.000 0.1863 0.7887 0.9751 0.8089 0.00545 0.00691 17 7.801 8.000 0.1863 0.7887 0.9751 0.8089 0.00545 0.00691 19 8.776 9.000 0.1863 0.7887 0.9751 0.8089 0.00545 0.00691 21 9.751 10.000 0.1863 0.7887 0.9751 0.8089 0.00545 0.00691 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3492E-01 8 20.00 7.7945E-01 7 30.00 5.8242E-01 6 40.00 3.9499E-01 5 50.00 2.4743E-01 4 60.00 1.4633E-01 3 70.00 8.3790E-02 2 80.00 4.7990E-02 1 87.50 3.1600E-02 1 92.50 2.3378E-02 2 100.00 1.6015E-02 3 110.00 1.0409E-02 4 120.00 7.2332E-03 5 130.00 5.4358E-03 6 140.00 4.4039E-03 7 150.00 3.8070E-03 8 160.00 3.4680E-03 9 170.00 3.2939E-03 10 180.00 3.2344E-03 Asymptotic AOP values are MUu(inf) = 0.3301 MUd(inf) = 0.7537 MU(inf) = 0.7147 R(inf) = 0.0163 Lu(inf)/Ed(inf) = 0.002695 (1/sr) k(inf) = 0.2607 (1/m) absorp(check) = 0.1863 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 595.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.5240E-01 1.7685E+00 1.9209E+00 5.1085E-02 1.4724E+00 0.3352 0.8325 0.7399 3.4696E-02 1 0.00 0.00 3.7736E-02 1.5234E+00 1.5611E+00 1.5768E-02 1.4389E+00 0.4178 0.9446 0.9116 1.0958E-02 3 0.98 1.00 3.4546E-02 1.2796E+00 1.3141E+00 1.3743E-02 1.1697E+00 0.3978 0.9142 0.8797 1.1748E-02 5 1.95 2.00 3.0344E-02 1.0602E+00 1.0905E+00 1.1712E-02 9.4455E-01 0.3860 0.8909 0.8554 1.2399E-02 7 2.93 3.00 2.6054E-02 8.6986E-01 8.9591E-01 9.8387E-03 7.5847E-01 0.3776 0.8719 0.8356 1.2972E-02 9 3.90 4.00 2.2022E-02 7.0815E-01 7.3017E-01 8.1767E-03 6.0611E-01 0.3713 0.8559 0.8189 1.3490E-02 11 4.88 5.00 1.8394E-02 5.7270E-01 5.9110E-01 6.7373E-03 4.8230E-01 0.3663 0.8422 0.8045 1.3969E-02 13 5.85 6.00 1.5215E-02 4.6050E-01 4.7572E-01 5.5116E-03 3.8233E-01 0.3622 0.8302 0.7921 1.4416E-02 15 6.83 7.00 1.2485E-02 3.6841E-01 3.8090E-01 4.4815E-03 3.0206E-01 0.3590 0.8199 0.7813 1.4836E-02 17 7.80 8.00 1.0174E-02 2.9341E-01 3.0359E-01 3.6249E-03 2.3792E-01 0.3563 0.8109 0.7718 1.5236E-02 19 8.78 9.00 8.2421E-03 2.3275E-01 2.4100E-01 2.9191E-03 1.8691E-01 0.3542 0.8030 0.7635 1.5618E-02 21 9.75 10.00 6.6434E-03 1.8398E-01 1.9063E-01 2.3419E-03 1.4649E-01 0.3525 0.7962 0.7562 1.5988E-02 K-functions (units of 1/meter) at 595.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.04692 0.16407 0.16124 0.11950 0.20317 0.20409 0.18565 1.000 1.010 1.005 0.11441 0.18231 0.18052 0.15086 0.21074 0.21146 0.19517 2.000 2.010 2.005 0.14281 0.19343 0.19202 0.16797 0.21679 0.21740 0.20217 3.000 3.010 3.005 0.16117 0.20204 0.20085 0.18016 0.22195 0.22250 0.20781 4.000 4.010 4.005 0.17463 0.20918 0.20814 0.18967 0.22647 0.22697 0.21251 5.000 5.010 5.005 0.18524 0.21532 0.21438 0.19746 0.23048 0.23095 0.21646 6.000 6.010 6.005 0.19401 0.22071 0.21985 0.20405 0.23405 0.23449 0.21978 7.000 7.010 7.005 0.20144 0.22547 0.22468 0.20967 0.23723 0.23765 0.22253 8.000 8.010 8.005 0.20782 0.22970 0.22897 0.21448 0.24006 0.24046 0.22475 9.000 9.010 9.005 0.21327 0.23345 0.23276 0.21856 0.24257 0.24295 0.22647 10.000 10.010 10.005 0.21792 0.23676 0.23611 0.22198 0.24478 0.24515 0.22771 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 595.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 3.40491E-01 2.01728E-03 7.16471E-03 9.18199E-03 1.37009E-03 0.021042 9 1 10.0 0.0 180.0 1.49280E-01 2.03235E-03 3.15130E-03 5.18365E-03 1.38033E-03 0.021110 9 4 10.0 45.0 135.0 1.66872E-01 2.02823E-03 3.52353E-03 5.55176E-03 1.37753E-03 0.021115 9 7 10.0 90.0 90.0 2.32939E-01 2.02067E-03 4.92023E-03 6.94091E-03 1.37240E-03 0.021122 8 1 20.0 0.0 180.0 8.92425E-02 2.05700E-03 1.90478E-03 3.96178E-03 1.39707E-03 0.021344 8 4 20.0 45.0 135.0 9.95845E-02 2.04727E-03 2.12548E-03 4.17276E-03 1.39046E-03 0.021344 8 7 20.0 90.0 90.0 1.39949E-01 2.04399E-03 2.98707E-03 5.03105E-03 1.38823E-03 0.021344 7 1 30.0 0.0 180.0 6.28797E-02 2.10734E-03 1.40398E-03 3.51132E-03 1.43126E-03 0.022328 7 4 30.0 45.0 135.0 6.86680E-02 2.10778E-03 1.53323E-03 3.64101E-03 1.43156E-03 0.022328 7 7 30.0 90.0 90.0 9.02672E-02 2.11329E-03 2.01525E-03 4.12854E-03 1.43530E-03 0.022325 6 1 40.0 0.0 180.0 5.16536E-02 2.13469E-03 1.32530E-03 3.45999E-03 1.44984E-03 0.025657 6 4 40.0 45.0 135.0 5.53047E-02 2.13600E-03 1.41910E-03 3.55510E-03 1.45072E-03 0.025660 6 7 40.0 90.0 90.0 6.78911E-02 2.13928E-03 1.74203E-03 3.88131E-03 1.45295E-03 0.025659 5 1 50.0 0.0 180.0 4.78429E-02 2.19495E-03 1.69758E-03 3.89253E-03 1.49076E-03 0.035482 5 4 50.0 45.0 135.0 5.05305E-02 2.19428E-03 1.79397E-03 3.98825E-03 1.49030E-03 0.035503 5 7 50.0 90.0 90.0 5.91640E-02 2.22680E-03 2.10038E-03 4.32718E-03 1.51239E-03 0.035501 4 1 60.0 0.0 180.0 4.96239E-02 2.21543E-03 3.13663E-03 5.35206E-03 1.50467E-03 0.063208 4 4 60.0 45.0 135.0 5.17697E-02 2.23061E-03 3.27223E-03 5.50284E-03 1.51498E-03 0.063207 4 7 60.0 90.0 90.0 5.85726E-02 2.24784E-03 3.70175E-03 5.94959E-03 1.52668E-03 0.063199 3 1 70.0 0.0 180.0 5.95133E-02 2.13551E-03 8.41918E-03 1.05547E-02 1.45039E-03 0.141467 3 4 70.0 45.0 135.0 6.10862E-02 2.13501E-03 8.63089E-03 1.07659E-02 1.45005E-03 0.141290 3 7 70.0 90.0 90.0 6.66198E-02 2.17045E-03 9.42231E-03 1.15928E-02 1.47412E-03 0.141434 2 1 80.0 0.0 180.0 8.87488E-02 1.60824E-03 3.26226E-02 3.42309E-02 1.09228E-03 0.367584 2 4 80.0 45.0 135.0 8.91770E-02 1.61895E-03 3.27582E-02 3.43772E-02 1.09956E-03 0.367340 2 7 80.0 90.0 90.0 9.27206E-02 1.66126E-03 3.40853E-02 3.57466E-02 1.12829E-03 0.367613 1 1 87.5 0.0 180.0 1.33791E-01 7.29345E-04 1.03435E-01 1.04164E-01 4.95355E-04 0.773106 1 4 87.5 45.0 135.0 1.32189E-01 7.60443E-04 1.02201E-01 1.02961E-01 5.16476E-04 0.773143 1 7 87.5 90.0 90.0 1.31943E-01 7.72233E-04 1.01935E-01 1.02708E-01 5.24483E-04 0.772570 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 595.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 9.182E-03 3.405E-01 1.190E-01 1.173E-01 1.252E-01 6.236E-03 5.564E+00 2.017E-03 1.370E-03 1 0.00 0.00 3.710E-03 5.275E+00 7.618E-03 8.833E-03 1.121E-02 2.578E-03 4.251E+00 3 0.98 1.00 3.066E-03 3.943E+00 8.222E-03 9.985E-03 1.328E-02 2.621E-03 4.483E+00 5 1.95 2.00 2.513E-03 2.850E+00 7.784E-03 9.616E-03 1.299E-02 2.661E-03 4.661E+00 7 2.93 3.00 2.047E-03 2.027E+00 7.005E-03 8.747E-03 1.194E-02 2.699E-03 4.806E+00 9 3.90 4.00 1.659E-03 1.433E+00 6.128E-03 7.705E-03 1.059E-02 2.737E-03 4.929E+00 11 4.88 5.00 1.339E-03 1.014E+00 5.264E-03 6.646E-03 9.146E-03 2.776E-03 5.033E+00 13 5.85 6.00 1.076E-03 7.195E-01 4.464E-03 5.644E-03 7.751E-03 2.815E-03 5.121E+00 15 6.83 7.00 8.628E-04 5.136E-01 3.749E-03 4.735E-03 6.466E-03 2.856E-03 5.194E+00 17 7.80 8.00 6.898E-04 3.691E-01 3.123E-03 3.932E-03 5.325E-03 2.899E-03 5.255E+00 19 8.78 9.00 5.505E-04 2.672E-01 2.583E-03 3.237E-03 4.337E-03 2.945E-03 5.303E+00 21 9.75 10.00 4.386E-04 1.948E-01 2.124E-03 2.644E-03 3.500E-03 2.994E-03 5.339E+00 Waveband 25 of 40 completed in 4.4 sec. * * * * * Output for wavelength band 26 (600.0 to 610.0 nm; nominal wavelength = 605.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 28.8 m at 605.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 600.0 nm to 610.0 nm: Ed(diffuse) = 3.217E-01 Ed(direct) = 1.186E+00 Ed(total) = 1.508E+00 Absorption Coefficients of Individual Components at 605.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2577 0.0165 0.0000 0.0018 0.2760 3 1.065 1.000 0.2577 0.0165 0.0000 0.0018 0.2760 5 2.129 2.000 0.2577 0.0165 0.0000 0.0018 0.2760 7 3.194 3.000 0.2577 0.0165 0.0000 0.0018 0.2760 9 4.258 4.000 0.2577 0.0165 0.0000 0.0018 0.2760 11 5.323 5.000 0.2577 0.0165 0.0000 0.0018 0.2760 13 6.388 6.000 0.2577 0.0165 0.0000 0.0018 0.2760 15 7.452 7.000 0.2577 0.0165 0.0000 0.0018 0.2760 17 8.517 8.000 0.2577 0.0165 0.0000 0.0018 0.2760 19 9.582 9.000 0.2577 0.0165 0.0000 0.0018 0.2760 21 10.646 10.000 0.2577 0.0165 0.0000 0.0018 0.2760 Scattering Coefficients of Individual Components at 605.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0013 0.2757 0.5116 0.0000 0.7886 3 1.065 1.000 0.0013 0.2757 0.5116 0.0000 0.7886 5 2.129 2.000 0.0013 0.2757 0.5116 0.0000 0.7886 7 3.194 3.000 0.0013 0.2757 0.5116 0.0000 0.7886 9 4.258 4.000 0.0013 0.2757 0.5116 0.0000 0.7886 11 5.323 5.000 0.0013 0.2757 0.5116 0.0000 0.7886 13 6.388 6.000 0.0013 0.2757 0.5116 0.0000 0.7886 15 7.452 7.000 0.0013 0.2757 0.5116 0.0000 0.7886 17 8.517 8.000 0.0013 0.2757 0.5116 0.0000 0.7886 19 9.582 9.000 0.0013 0.2757 0.5116 0.0000 0.7886 21 10.646 10.000 0.0013 0.2757 0.5116 0.0000 0.7886 Backscattering Coefficients of Individual Components at 605.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00063 0.00387 0.00090 0.00000 0.00540 3 1.065 1.000 0.00063 0.00387 0.00090 0.00000 0.00540 5 2.129 2.000 0.00063 0.00387 0.00090 0.00000 0.00540 7 3.194 3.000 0.00063 0.00387 0.00090 0.00000 0.00540 9 4.258 4.000 0.00063 0.00387 0.00090 0.00000 0.00540 11 5.323 5.000 0.00063 0.00387 0.00090 0.00000 0.00540 13 6.388 6.000 0.00063 0.00387 0.00090 0.00000 0.00540 15 7.452 7.000 0.00063 0.00387 0.00090 0.00000 0.00540 17 8.517 8.000 0.00063 0.00387 0.00090 0.00000 0.00540 19 9.582 9.000 0.00063 0.00387 0.00090 0.00000 0.00540 21 10.646 10.000 0.00063 0.00387 0.00090 0.00000 0.00540 Summary of Inherent Optical Properties at 605.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2760 0.7886 1.0646 0.7408 0.00540 0.00685 3 1.065 1.000 0.2760 0.7886 1.0646 0.7408 0.00540 0.00685 5 2.129 2.000 0.2760 0.7886 1.0646 0.7408 0.00540 0.00685 7 3.194 3.000 0.2760 0.7886 1.0646 0.7408 0.00540 0.00685 9 4.258 4.000 0.2760 0.7886 1.0646 0.7408 0.00540 0.00685 11 5.323 5.000 0.2760 0.7886 1.0646 0.7408 0.00540 0.00685 13 6.388 6.000 0.2760 0.7886 1.0646 0.7408 0.00540 0.00685 15 7.452 7.000 0.2760 0.7886 1.0646 0.7408 0.00540 0.00685 17 8.517 8.000 0.2760 0.7886 1.0646 0.7408 0.00540 0.00685 19 9.582 9.000 0.2760 0.7886 1.0646 0.7408 0.00540 0.00685 21 10.646 10.000 0.2760 0.7886 1.0646 0.7408 0.00540 0.00685 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.1944E-01 8 20.00 7.3307E-01 7 30.00 5.1112E-01 6 40.00 3.1752E-01 5 50.00 1.8024E-01 4 60.00 9.6410E-02 3 70.00 5.0276E-02 2 80.00 2.6614E-02 1 87.50 1.6744E-02 1 92.50 1.2130E-02 2 100.00 8.1427E-03 3 110.00 5.2266E-03 4 120.00 3.6465E-03 5 130.00 2.7812E-03 6 140.00 2.2964E-03 7 150.00 2.0211E-03 8 160.00 1.8669E-03 9 170.00 1.7885E-03 10 180.00 1.7617E-03 Asymptotic AOP values are MUu(inf) = 0.3315 MUd(inf) = 0.7868 MU(inf) = 0.7614 R(inf) = 0.0098 Lu(inf)/Ed(inf) = 0.001710 (1/sr) k(inf) = 0.3625 (1/m) absorp(check) = 0.2760 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 605.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.4892E-01 1.8049E+00 1.9538E+00 4.9535E-02 1.5078E+00 0.3326 0.8354 0.7464 3.2853E-02 1 0.00 0.00 2.5055E-02 1.5488E+00 1.5739E+00 1.0314E-02 1.4705E+00 0.4116 0.9494 0.9278 7.0138E-03 3 1.06 1.00 2.0941E-02 1.1811E+00 1.2020E+00 8.1889E-03 1.0873E+00 0.3910 0.9206 0.8978 7.5313E-03 5 2.13 2.00 1.6639E-02 8.8587E-01 9.0251E-01 6.3332E-03 7.9711E-01 0.3806 0.8998 0.8762 7.9452E-03 7 3.19 3.00 1.2914E-02 6.5718E-01 6.7009E-01 4.8279E-03 5.8038E-01 0.3738 0.8831 0.8589 8.3185E-03 9 4.26 4.00 9.8754E-03 4.8334E-01 4.9322E-01 3.6453E-03 4.2015E-01 0.3691 0.8693 0.8445 8.6762E-03 11 5.32 5.00 7.4735E-03 3.5296E-01 3.6044E-01 2.7339E-03 3.0264E-01 0.3658 0.8574 0.8321 9.0335E-03 13 6.39 6.00 5.6127E-03 2.5618E-01 2.6179E-01 2.0409E-03 2.1705E-01 0.3636 0.8472 0.8213 9.4029E-03 15 7.45 7.00 4.1916E-03 1.8494E-01 1.8913E-01 1.5190E-03 1.5506E-01 0.3624 0.8384 0.8118 9.7966E-03 17 8.52 8.00 3.1186E-03 1.3290E-01 1.3602E-01 1.1293E-03 1.1041E-01 0.3621 0.8308 0.8034 1.0228E-02 19 9.58 9.00 2.3154E-03 9.5125E-02 9.7440E-02 8.3990E-04 7.8394E-02 0.3627 0.8241 0.7959 1.0714E-02 21 10.65 10.00 1.7183E-03 6.7853E-02 6.9571E-02 6.2593E-04 5.5523E-02 0.3643 0.8183 0.7891 1.1273E-02 K-functions (units of 1/meter) at 605.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.11735 0.25738 0.25515 0.20575 0.29659 0.29723 0.27558 1.000 1.010 1.005 0.21301 0.28088 0.27970 0.24722 0.30662 0.30707 0.28651 2.000 2.010 2.005 0.24390 0.29370 0.29278 0.26535 0.31414 0.31453 0.29301 3.000 3.010 3.005 0.26191 0.30326 0.30246 0.27683 0.32036 0.32073 0.29715 4.000 4.010 4.005 0.27408 0.31102 0.31028 0.28477 0.32571 0.32607 0.29950 5.000 5.010 5.005 0.28295 0.31760 0.31689 0.29039 0.33037 0.33073 0.30027 6.000 6.010 6.005 0.28948 0.32329 0.32256 0.29412 0.33444 0.33483 0.29951 7.000 7.010 7.005 0.29413 0.32824 0.32748 0.29616 0.33801 0.33842 0.29720 8.000 8.010 8.005 0.29706 0.33253 0.33172 0.29657 0.34111 0.34157 0.29336 9.000 9.010 9.005 0.29834 0.33623 0.33533 0.29535 0.34378 0.34431 0.28798 10.000 10.010 10.005 0.29799 0.33940 0.33838 0.29250 0.34606 0.34667 0.28114 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 605.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 3.40728E-01 1.33842E-03 7.16970E-03 8.50811E-03 8.87659E-04 0.021042 9 1 10.0 0.0 180.0 1.49384E-01 1.35034E-03 3.15347E-03 4.50380E-03 8.95564E-04 0.021110 9 4 10.0 45.0 135.0 1.66990E-01 1.34612E-03 3.52602E-03 4.87214E-03 8.92768E-04 0.021115 9 7 10.0 90.0 90.0 2.33087E-01 1.33859E-03 4.92340E-03 6.26199E-03 8.87775E-04 0.021123 8 1 20.0 0.0 180.0 8.93046E-02 1.36503E-03 1.90611E-03 3.27114E-03 9.05311E-04 0.021344 8 4 20.0 45.0 135.0 9.96538E-02 1.35667E-03 2.12696E-03 3.48363E-03 8.99763E-04 0.021344 8 7 20.0 90.0 90.0 1.40046E-01 1.35047E-03 2.98914E-03 4.33962E-03 8.95655E-04 0.021344 7 1 30.0 0.0 180.0 6.29234E-02 1.39628E-03 1.40495E-03 2.80124E-03 9.26036E-04 0.022328 7 4 30.0 45.0 135.0 6.87157E-02 1.39432E-03 1.53429E-03 2.92862E-03 9.24738E-04 0.022328 7 7 30.0 90.0 90.0 9.03299E-02 1.39252E-03 2.01666E-03 3.40917E-03 9.23541E-04 0.022325 6 1 40.0 0.0 180.0 5.16896E-02 1.40777E-03 1.32622E-03 2.73399E-03 9.33657E-04 0.025657 6 4 40.0 45.0 135.0 5.53431E-02 1.40551E-03 1.42009E-03 2.82560E-03 9.32159E-04 0.025660 6 7 40.0 90.0 90.0 6.79383E-02 1.39982E-03 1.74324E-03 3.14306E-03 9.28380E-04 0.025659 5 1 50.0 0.0 180.0 4.78762E-02 1.44317E-03 1.69876E-03 3.14193E-03 9.57134E-04 0.035482 5 4 50.0 45.0 135.0 5.05656E-02 1.43914E-03 1.79522E-03 3.23436E-03 9.54462E-04 0.035503 5 7 50.0 90.0 90.0 5.92051E-02 1.45135E-03 2.10184E-03 3.55319E-03 9.62559E-04 0.035501 4 1 60.0 0.0 180.0 4.96585E-02 1.45152E-03 3.13881E-03 4.59033E-03 9.62669E-04 0.063208 4 4 60.0 45.0 135.0 5.18058E-02 1.45734E-03 3.27451E-03 4.73185E-03 9.66533E-04 0.063207 4 7 60.0 90.0 90.0 5.86133E-02 1.45843E-03 3.70432E-03 5.16275E-03 9.67252E-04 0.063199 3 1 70.0 0.0 180.0 5.95547E-02 1.39687E-03 8.42504E-03 9.82191E-03 9.26426E-04 0.141467 3 4 70.0 45.0 135.0 6.11287E-02 1.39251E-03 8.63689E-03 1.00294E-02 9.23535E-04 0.141290 3 7 70.0 90.0 90.0 6.66662E-02 1.40549E-03 9.42887E-03 1.08344E-02 9.32143E-04 0.141434 2 1 80.0 0.0 180.0 8.88105E-02 1.04771E-03 3.26453E-02 3.36931E-02 6.94859E-04 0.367584 2 4 80.0 45.0 135.0 8.92390E-02 1.05149E-03 3.27810E-02 3.38325E-02 6.97363E-04 0.367340 2 7 80.0 90.0 90.0 9.27851E-02 1.07075E-03 3.41090E-02 3.51798E-02 7.10137E-04 0.367613 1 1 87.5 0.0 180.0 1.33884E-01 4.75145E-04 1.03507E-01 1.03982E-01 3.15123E-04 0.773106 1 4 87.5 45.0 135.0 1.32281E-01 4.93897E-04 1.02272E-01 1.02766E-01 3.27560E-04 0.773143 1 7 87.5 90.0 90.0 1.32035E-01 4.97734E-04 1.02006E-01 1.02504E-01 3.30105E-04 0.772570 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 605.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 8.508E-03 3.407E-01 1.189E-01 1.173E-01 1.251E-01 5.643E-03 5.822E+00 1.338E-03 8.877E-04 1 0.00 0.00 2.461E-03 5.419E+00 5.301E-03 6.188E-03 7.975E-03 1.674E-03 4.191E+00 3 1.06 1.00 1.857E-03 3.703E+00 5.349E-03 6.563E-03 8.875E-03 1.708E-03 4.409E+00 5 2.13 2.00 1.390E-03 2.445E+00 4.543E-03 5.659E-03 7.758E-03 1.743E-03 4.557E+00 7 3.19 3.00 1.034E-03 1.588E+00 3.663E-03 4.604E-03 6.364E-03 1.782E-03 4.667E+00 9 4.26 4.00 7.676E-04 1.025E+00 2.877E-03 3.635E-03 5.041E-03 1.827E-03 4.749E+00 11 5.32 5.00 5.686E-04 6.613E-01 2.225E-03 2.815E-03 3.899E-03 1.879E-03 4.808E+00 13 6.39 6.00 4.212E-04 4.281E-01 1.702E-03 2.151E-03 2.963E-03 1.941E-03 4.845E+00 15 7.45 7.00 3.125E-04 2.785E-01 1.292E-03 1.627E-03 2.219E-03 2.016E-03 4.861E+00 17 8.52 8.00 2.326E-04 1.823E-01 9.753E-04 1.220E-03 1.644E-03 2.107E-03 4.855E+00 19 9.58 9.00 1.739E-04 1.202E-01 7.325E-04 9.088E-04 1.207E-03 2.218E-03 4.830E+00 21 10.65 10.00 1.308E-04 7.972E-02 5.483E-04 6.736E-04 8.804E-04 2.356E-03 4.785E+00 Waveband 26 of 40 completed in 4.7 sec. * * * * * Output for wavelength band 27 (610.0 to 620.0 nm; nominal wavelength = 615.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 28.6 m at 615.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 610.0 nm to 620.0 nm: Ed(diffuse) = 3.070E-01 Ed(direct) = 1.165E+00 Ed(total) = 1.472E+00 Absorption Coefficients of Individual Components at 615.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2678 0.0176 0.0000 0.0015 0.2869 3 1.075 1.000 0.2678 0.0176 0.0000 0.0015 0.2869 5 2.151 2.000 0.2678 0.0176 0.0000 0.0015 0.2869 7 3.226 3.000 0.2678 0.0176 0.0000 0.0015 0.2869 9 4.302 4.000 0.2678 0.0176 0.0000 0.0015 0.2869 11 5.377 5.000 0.2678 0.0176 0.0000 0.0015 0.2869 13 6.453 6.000 0.2678 0.0176 0.0000 0.0015 0.2869 15 7.528 7.000 0.2678 0.0176 0.0000 0.0015 0.2869 17 8.603 8.000 0.2678 0.0176 0.0000 0.0015 0.2869 19 9.679 9.000 0.2678 0.0176 0.0000 0.0015 0.2869 21 10.754 10.000 0.2678 0.0176 0.0000 0.0015 0.2869 Scattering Coefficients of Individual Components at 615.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0012 0.2757 0.5116 0.0000 0.7885 3 1.075 1.000 0.0012 0.2757 0.5116 0.0000 0.7885 5 2.151 2.000 0.0012 0.2757 0.5116 0.0000 0.7885 7 3.226 3.000 0.0012 0.2757 0.5116 0.0000 0.7885 9 4.302 4.000 0.0012 0.2757 0.5116 0.0000 0.7885 11 5.377 5.000 0.0012 0.2757 0.5116 0.0000 0.7885 13 6.453 6.000 0.0012 0.2757 0.5116 0.0000 0.7885 15 7.528 7.000 0.0012 0.2757 0.5116 0.0000 0.7885 17 8.603 8.000 0.0012 0.2757 0.5116 0.0000 0.7885 19 9.679 9.000 0.0012 0.2757 0.5116 0.0000 0.7885 21 10.754 10.000 0.0012 0.2757 0.5116 0.0000 0.7885 Backscattering Coefficients of Individual Components at 615.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00059 0.00387 0.00090 0.00000 0.00536 3 1.075 1.000 0.00059 0.00387 0.00090 0.00000 0.00536 5 2.151 2.000 0.00059 0.00387 0.00090 0.00000 0.00536 7 3.226 3.000 0.00059 0.00387 0.00090 0.00000 0.00536 9 4.302 4.000 0.00059 0.00387 0.00090 0.00000 0.00536 11 5.377 5.000 0.00059 0.00387 0.00090 0.00000 0.00536 13 6.453 6.000 0.00059 0.00387 0.00090 0.00000 0.00536 15 7.528 7.000 0.00059 0.00387 0.00090 0.00000 0.00536 17 8.603 8.000 0.00059 0.00387 0.00090 0.00000 0.00536 19 9.679 9.000 0.00059 0.00387 0.00090 0.00000 0.00536 21 10.754 10.000 0.00059 0.00387 0.00090 0.00000 0.00536 Summary of Inherent Optical Properties at 615.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2869 0.7885 1.0754 0.7332 0.00536 0.00679 3 1.075 1.000 0.2869 0.7885 1.0754 0.7332 0.00536 0.00679 5 2.151 2.000 0.2869 0.7885 1.0754 0.7332 0.00536 0.00679 7 3.226 3.000 0.2869 0.7885 1.0754 0.7332 0.00536 0.00679 9 4.302 4.000 0.2869 0.7885 1.0754 0.7332 0.00536 0.00679 11 5.377 5.000 0.2869 0.7885 1.0754 0.7332 0.00536 0.00679 13 6.453 6.000 0.2869 0.7885 1.0754 0.7332 0.00536 0.00679 15 7.528 7.000 0.2869 0.7885 1.0754 0.7332 0.00536 0.00679 17 8.603 8.000 0.2869 0.7885 1.0754 0.7332 0.00536 0.00679 19 9.679 9.000 0.2869 0.7885 1.0754 0.7332 0.00536 0.00679 21 10.754 10.000 0.2869 0.7885 1.0754 0.7332 0.00536 0.00679 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.1772E-01 8 20.00 7.2802E-01 7 30.00 5.0369E-01 6 40.00 3.0989E-01 5 50.00 1.7404E-01 4 60.00 9.2107E-02 3 70.00 4.7571E-02 2 80.00 2.4985E-02 1 87.50 1.5650E-02 1 92.50 1.1315E-02 2 100.00 7.5811E-03 3 110.00 4.8591E-03 4 120.00 3.3898E-03 5 130.00 2.5873E-03 6 140.00 2.1386E-03 7 150.00 1.8841E-03 8 160.00 1.7417E-03 9 170.00 1.6694E-03 10 180.00 1.6447E-03 Asymptotic AOP values are MUu(inf) = 0.3314 MUd(inf) = 0.7900 MU(inf) = 0.7658 R(inf) = 0.0093 Lu(inf)/Ed(inf) = 0.001623 (1/sr) k(inf) = 0.3746 (1/m) absorp(check) = 0.2869 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 615.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.4254E-01 1.7555E+00 1.8981E+00 4.7823E-02 1.4715E+00 0.3355 0.8382 0.7501 3.2499E-02 1 0.00 0.00 2.3227E-02 1.5100E+00 1.5333E+00 9.5383E-03 1.4351E+00 0.4107 0.9504 0.9297 6.6465E-03 3 1.08 1.00 1.9201E-02 1.1383E+00 1.1575E+00 7.4880E-03 1.0492E+00 0.3900 0.9217 0.9000 7.1367E-03 5 2.15 2.00 1.5074E-02 8.4382E-01 8.5889E-01 5.7233E-03 7.6039E-01 0.3797 0.9011 0.8787 7.5267E-03 7 3.23 3.00 1.1559E-02 6.1858E-01 6.3014E-01 4.3116E-03 5.4724E-01 0.3730 0.8847 0.8616 7.8788E-03 9 4.30 4.00 8.7336E-03 4.4954E-01 4.5828E-01 3.2174E-03 3.9153E-01 0.3684 0.8710 0.8473 8.2174E-03 11 5.38 5.00 6.5312E-03 3.2435E-01 3.3088E-01 2.3851E-03 2.7870E-01 0.3652 0.8593 0.8351 8.5577E-03 13 6.45 6.00 4.8477E-03 2.3258E-01 2.3742E-01 1.7603E-03 1.9751E-01 0.3631 0.8492 0.8245 8.9123E-03 15 7.53 7.00 3.5790E-03 1.6588E-01 1.6946E-01 1.2958E-03 1.3943E-01 0.3621 0.8406 0.8152 9.2938E-03 17 8.60 8.00 2.6333E-03 1.1776E-01 1.2039E-01 9.5322E-04 9.8097E-02 0.3620 0.8330 0.8069 9.7170E-03 19 9.68 9.00 1.9343E-03 8.3266E-02 8.5200E-02 7.0190E-04 6.8815E-02 0.3629 0.8265 0.7995 1.0200E-02 21 10.75 10.00 1.4211E-03 5.8673E-02 6.0094E-02 5.1829E-04 4.8154E-02 0.3647 0.8207 0.7927 1.0763E-02 K-functions (units of 1/meter) at 615.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.12582 0.26857 0.26641 0.21619 0.30773 0.30834 0.28681 1.000 1.010 1.005 0.22485 0.29256 0.29144 0.25891 0.31803 0.31845 0.29800 2.000 2.010 2.005 0.25597 0.30554 0.30467 0.27719 0.32571 0.32608 0.30454 3.000 3.010 3.005 0.27397 0.31520 0.31444 0.28864 0.33206 0.33241 0.30861 4.000 4.010 4.005 0.28606 0.32304 0.32233 0.29649 0.33751 0.33785 0.31078 5.000 5.010 5.005 0.29479 0.32969 0.32900 0.30192 0.34225 0.34260 0.31124 6.000 6.010 6.005 0.30111 0.33543 0.33473 0.30536 0.34640 0.34677 0.31003 7.000 7.010 7.005 0.30548 0.34041 0.33968 0.30702 0.35002 0.35042 0.30714 8.000 8.010 8.005 0.30801 0.34473 0.34393 0.30689 0.35316 0.35361 0.30252 9.000 9.010 9.005 0.30874 0.34845 0.34755 0.30496 0.35586 0.35639 0.29621 10.000 10.010 10.005 0.30771 0.35161 0.35057 0.30126 0.35816 0.35878 0.28827 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 615.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 3.25076E-01 1.23649E-03 6.84035E-03 8.07685E-03 8.40295E-04 0.021042 9 1 10.0 0.0 180.0 1.42522E-01 1.24762E-03 3.00859E-03 4.25620E-03 8.47853E-04 0.021110 9 4 10.0 45.0 135.0 1.59322E-01 1.24361E-03 3.36410E-03 4.60771E-03 8.45132E-04 0.021115 9 7 10.0 90.0 90.0 2.22367E-01 1.23657E-03 4.69700E-03 5.93358E-03 8.40349E-04 0.021123 8 1 20.0 0.0 180.0 8.52023E-02 1.26112E-03 1.81855E-03 3.07967E-03 8.57031E-04 0.021344 8 4 20.0 45.0 135.0 9.50761E-02 1.25329E-03 2.02926E-03 3.28255E-03 8.51710E-04 0.021344 8 7 20.0 90.0 90.0 1.33613E-01 1.24745E-03 2.85184E-03 4.09928E-03 8.47737E-04 0.021344 7 1 30.0 0.0 180.0 6.00330E-02 1.28990E-03 1.34042E-03 2.63031E-03 8.76588E-04 0.022328 7 4 30.0 45.0 135.0 6.55592E-02 1.28801E-03 1.46381E-03 2.75182E-03 8.75302E-04 0.022328 7 7 30.0 90.0 90.0 8.61806E-02 1.28618E-03 1.92402E-03 3.21020E-03 8.74059E-04 0.022325 6 1 40.0 0.0 180.0 4.93152E-02 1.30032E-03 1.26530E-03 2.56562E-03 8.83672E-04 0.025657 6 4 40.0 45.0 135.0 5.28009E-02 1.29814E-03 1.35485E-03 2.65300E-03 8.82191E-04 0.025660 6 7 40.0 90.0 90.0 6.48175E-02 1.29267E-03 1.66316E-03 2.95583E-03 8.78469E-04 0.025659 5 1 50.0 0.0 180.0 4.56770E-02 1.33292E-03 1.62073E-03 2.95365E-03 9.05826E-04 0.035482 5 4 50.0 45.0 135.0 4.82429E-02 1.32910E-03 1.71275E-03 3.04186E-03 9.03231E-04 0.035503 5 7 50.0 90.0 90.0 5.64855E-02 1.34018E-03 2.00529E-03 3.34547E-03 9.10755E-04 0.035501 4 1 60.0 0.0 180.0 4.73774E-02 1.34051E-03 2.99463E-03 4.33514E-03 9.10985E-04 0.063208 4 4 60.0 45.0 135.0 4.94260E-02 1.34579E-03 3.12409E-03 4.46988E-03 9.14573E-04 0.063207 4 7 60.0 90.0 90.0 5.59209E-02 1.34662E-03 3.53416E-03 4.88078E-03 9.15132E-04 0.063199 3 1 70.0 0.0 180.0 5.68190E-02 1.29004E-03 8.03803E-03 9.32807E-03 8.76687E-04 0.141467 3 4 70.0 45.0 135.0 5.83208E-02 1.28594E-03 8.24015E-03 9.52609E-03 8.73897E-04 0.141290 3 7 70.0 90.0 90.0 6.36038E-02 1.29779E-03 8.99575E-03 1.02935E-02 8.81949E-04 0.141434 2 1 80.0 0.0 180.0 8.47309E-02 9.67587E-04 3.11458E-02 3.21133E-02 6.57552E-04 0.367584 2 4 80.0 45.0 135.0 8.51397E-02 9.71043E-04 3.12752E-02 3.22463E-02 6.59900E-04 0.367340 2 7 80.0 90.0 90.0 8.85230E-02 9.88788E-04 3.25422E-02 3.35310E-02 6.71960E-04 0.367613 1 1 87.5 0.0 180.0 1.27734E-01 4.38807E-04 9.87522E-02 9.91910E-02 2.98204E-04 0.773106 1 4 87.5 45.0 135.0 1.26205E-01 4.56111E-04 9.75741E-02 9.80302E-02 3.09963E-04 0.773143 1 7 87.5 90.0 90.0 1.25970E-01 4.59635E-04 9.73207E-02 9.77803E-02 3.12358E-04 0.772570 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 615.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 8.077E-03 3.251E-01 1.135E-01 1.119E-01 1.194E-01 5.489E-03 5.921E+00 1.236E-03 8.403E-04 1 0.00 0.00 2.274E-03 5.305E+00 4.934E-03 5.773E-03 7.468E-03 1.584E-03 4.195E+00 3 1.08 1.00 1.696E-03 3.587E+00 4.935E-03 6.072E-03 8.243E-03 1.617E-03 4.414E+00 5 2.15 2.00 1.255E-03 2.342E+00 4.137E-03 5.168E-03 7.110E-03 1.650E-03 4.561E+00 7 3.23 3.00 9.234E-04 1.505E+00 3.294E-03 4.150E-03 5.756E-03 1.687E-03 4.669E+00 9 4.30 4.00 6.774E-04 9.606E-01 2.555E-03 3.235E-03 4.501E-03 1.730E-03 4.750E+00 11 5.38 5.00 4.963E-04 6.129E-01 1.952E-03 2.475E-03 3.437E-03 1.781E-03 4.806E+00 13 6.45 6.00 3.637E-04 3.923E-01 1.476E-03 1.868E-03 2.578E-03 1.841E-03 4.840E+00 15 7.53 7.00 2.671E-04 2.524E-01 1.107E-03 1.395E-03 1.907E-03 1.916E-03 4.852E+00 17 8.60 8.00 1.969E-04 1.634E-01 8.257E-04 1.034E-03 1.395E-03 2.007E-03 4.842E+00 19 9.68 9.00 1.459E-04 1.065E-01 6.132E-04 7.611E-04 1.012E-03 2.121E-03 4.810E+00 21 10.75 10.00 1.089E-04 6.981E-02 4.539E-04 5.576E-04 7.290E-04 2.262E-03 4.758E+00 Waveband 27 of 40 completed in 4.7 sec. * * * * * Output for wavelength band 28 (620.0 to 630.0 nm; nominal wavelength = 625.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 28.3 m at 625.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 620.0 nm to 630.0 nm: Ed(diffuse) = 2.972E-01 Ed(direct) = 1.159E+00 Ed(total) = 1.456E+00 Absorption Coefficients of Individual Components at 625.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2834 0.0183 0.0000 0.0013 0.3030 3 1.091 1.000 0.2834 0.0183 0.0000 0.0013 0.3030 5 2.183 2.000 0.2834 0.0183 0.0000 0.0013 0.3030 7 3.274 3.000 0.2834 0.0183 0.0000 0.0013 0.3030 9 4.366 4.000 0.2834 0.0183 0.0000 0.0013 0.3030 11 5.457 5.000 0.2834 0.0183 0.0000 0.0013 0.3030 13 6.549 6.000 0.2834 0.0183 0.0000 0.0013 0.3030 15 7.640 7.000 0.2834 0.0183 0.0000 0.0013 0.3030 17 8.732 8.000 0.2834 0.0183 0.0000 0.0013 0.3030 19 9.823 9.000 0.2834 0.0183 0.0000 0.0013 0.3030 21 10.915 10.000 0.2834 0.0183 0.0000 0.0013 0.3030 Scattering Coefficients of Individual Components at 625.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0011 0.2757 0.5116 0.0000 0.7885 3 1.091 1.000 0.0011 0.2757 0.5116 0.0000 0.7885 5 2.183 2.000 0.0011 0.2757 0.5116 0.0000 0.7885 7 3.274 3.000 0.0011 0.2757 0.5116 0.0000 0.7885 9 4.366 4.000 0.0011 0.2757 0.5116 0.0000 0.7885 11 5.457 5.000 0.0011 0.2757 0.5116 0.0000 0.7885 13 6.549 6.000 0.0011 0.2757 0.5116 0.0000 0.7885 15 7.640 7.000 0.0011 0.2757 0.5116 0.0000 0.7885 17 8.732 8.000 0.0011 0.2757 0.5116 0.0000 0.7885 19 9.823 9.000 0.0011 0.2757 0.5116 0.0000 0.7885 21 10.915 10.000 0.0011 0.2757 0.5116 0.0000 0.7885 Backscattering Coefficients of Individual Components at 625.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00055 0.00387 0.00090 0.00000 0.00532 3 1.091 1.000 0.00055 0.00387 0.00090 0.00000 0.00532 5 2.183 2.000 0.00055 0.00387 0.00090 0.00000 0.00532 7 3.274 3.000 0.00055 0.00387 0.00090 0.00000 0.00532 9 4.366 4.000 0.00055 0.00387 0.00090 0.00000 0.00532 11 5.457 5.000 0.00055 0.00387 0.00090 0.00000 0.00532 13 6.549 6.000 0.00055 0.00387 0.00090 0.00000 0.00532 15 7.640 7.000 0.00055 0.00387 0.00090 0.00000 0.00532 17 8.732 8.000 0.00055 0.00387 0.00090 0.00000 0.00532 19 9.823 9.000 0.00055 0.00387 0.00090 0.00000 0.00532 21 10.915 10.000 0.00055 0.00387 0.00090 0.00000 0.00532 Summary of Inherent Optical Properties at 625.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3030 0.7885 1.0915 0.7224 0.00532 0.00674 3 1.091 1.000 0.3030 0.7885 1.0915 0.7224 0.00532 0.00674 5 2.183 2.000 0.3030 0.7885 1.0915 0.7224 0.00532 0.00674 7 3.274 3.000 0.3030 0.7885 1.0915 0.7224 0.00532 0.00674 9 4.366 4.000 0.3030 0.7885 1.0915 0.7224 0.00532 0.00674 11 5.457 5.000 0.3030 0.7885 1.0915 0.7224 0.00532 0.00674 13 6.549 6.000 0.3030 0.7885 1.0915 0.7224 0.00532 0.00674 15 7.640 7.000 0.3030 0.7885 1.0915 0.7224 0.00532 0.00674 17 8.732 8.000 0.3030 0.7885 1.0915 0.7224 0.00532 0.00674 19 9.823 9.000 0.3030 0.7885 1.0915 0.7224 0.00532 0.00674 21 10.915 10.000 0.3030 0.7885 1.0915 0.7224 0.00532 0.00674 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.1520E-01 8 20.00 7.2074E-01 7 30.00 4.9309E-01 6 40.00 2.9916E-01 5 50.00 1.6546E-01 4 60.00 8.6245E-02 3 70.00 4.3945E-02 2 80.00 2.2834E-02 1 87.50 1.4219E-02 1 92.50 1.0257E-02 2 100.00 6.8577E-03 3 110.00 4.3901E-03 4 120.00 3.0646E-03 5 130.00 2.3432E-03 6 140.00 1.9409E-03 7 150.00 1.7132E-03 8 160.00 1.5859E-03 9 170.00 1.5213E-03 10 180.00 1.4993E-03 Asymptotic AOP values are MUu(inf) = 0.3316 MUd(inf) = 0.7946 MU(inf) = 0.7719 R(inf) = 0.0086 Lu(inf)/Ed(inf) = 0.001513 (1/sr) k(inf) = 0.3926 (1/m) absorp(check) = 0.3030 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 625.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.3833E-01 1.7320E+00 1.8704E+00 4.6782E-02 1.4564E+00 0.3382 0.8409 0.7537 3.2121E-02 1 0.00 0.00 2.1480E-02 1.4929E+00 1.5144E+00 8.7961E-03 1.4203E+00 0.4095 0.9514 0.9321 6.1931E-03 3 1.09 1.00 1.7461E-02 1.1062E+00 1.1237E+00 6.7891E-03 1.0211E+00 0.3888 0.9230 0.9026 6.6489E-03 5 2.18 2.00 1.3465E-02 8.0578E-01 8.1925E-01 5.0988E-03 7.2743E-01 0.3787 0.9028 0.8817 7.0093E-03 7 3.27 3.00 1.0141E-02 5.8033E-01 5.9047E-01 3.7745E-03 5.1452E-01 0.3722 0.8866 0.8650 7.3359E-03 9 4.37 4.00 7.5266E-03 4.1429E-01 4.2181E-01 2.7682E-03 3.6174E-01 0.3678 0.8731 0.8510 7.6526E-03 11 5.46 5.00 5.5307E-03 2.9360E-01 2.9913E-01 2.0176E-03 2.5300E-01 0.3648 0.8617 0.8390 7.9747E-03 13 6.55 6.00 4.0353E-03 2.0677E-01 2.1081E-01 1.4648E-03 1.7614E-01 0.3630 0.8519 0.8286 8.3157E-03 15 7.64 7.00 2.9302E-03 1.4484E-01 1.4777E-01 1.0615E-03 1.2215E-01 0.3622 0.8434 0.8195 8.6897E-03 17 8.73 8.00 2.1220E-03 1.0098E-01 1.0310E-01 7.6936E-04 8.4420E-02 0.3626 0.8360 0.8113 9.1136E-03 19 9.82 9.00 1.5357E-03 7.0118E-02 7.1654E-02 5.5890E-04 5.8170E-02 0.3639 0.8296 0.8040 9.6080E-03 21 10.91 10.00 1.1129E-03 4.8523E-02 4.9636E-02 4.0777E-04 3.9982E-02 0.3664 0.8240 0.7973 1.0199E-02 K-functions (units of 1/meter) at 625.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.13901 0.28525 0.28317 0.23196 0.32435 0.32492 0.30343 1.000 1.010 1.005 0.24269 0.30998 0.30894 0.27637 0.33504 0.33543 0.31493 2.000 2.010 2.005 0.27402 0.32318 0.32237 0.29476 0.34296 0.34330 0.32144 3.000 3.010 3.005 0.29188 0.33297 0.33227 0.30608 0.34949 0.34981 0.32527 4.000 4.010 4.005 0.30376 0.34093 0.34026 0.31366 0.35507 0.35539 0.32702 5.000 5.010 5.005 0.31216 0.34766 0.34700 0.31865 0.35993 0.36026 0.32684 6.000 6.010 6.005 0.31801 0.35346 0.35278 0.32149 0.36416 0.36452 0.32474 7.000 7.010 7.005 0.32175 0.35849 0.35776 0.32231 0.36785 0.36825 0.32065 8.000 8.010 8.005 0.32345 0.36283 0.36202 0.32109 0.37104 0.37150 0.31456 9.000 9.010 9.005 0.32310 0.36655 0.36562 0.31779 0.37377 0.37431 0.30647 10.000 10.010 10.005 0.32069 0.36969 0.36859 0.31240 0.37608 0.37673 0.29651 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 625.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 3.14715E-01 1.13998E-03 6.62234E-03 7.76231E-03 7.82720E-04 0.021042 9 1 10.0 0.0 180.0 1.37980E-01 1.15040E-03 2.91267E-03 4.06307E-03 7.89875E-04 0.021109 9 4 10.0 45.0 135.0 1.54246E-01 1.14656E-03 3.25692E-03 4.40348E-03 7.87236E-04 0.021115 9 7 10.0 90.0 90.0 2.15267E-01 1.13991E-03 4.54706E-03 5.68698E-03 7.82675E-04 0.021123 8 1 20.0 0.0 180.0 8.24867E-02 1.16273E-03 1.76059E-03 2.92332E-03 7.98342E-04 0.021344 8 4 20.0 45.0 135.0 9.20458E-02 1.15536E-03 1.96458E-03 3.11994E-03 7.93280E-04 0.021344 8 7 20.0 90.0 90.0 1.29354E-01 1.14973E-03 2.76094E-03 3.91067E-03 7.89416E-04 0.021344 7 1 30.0 0.0 180.0 5.81196E-02 1.18911E-03 1.29769E-03 2.48681E-03 8.16455E-04 0.022328 7 4 30.0 45.0 135.0 6.34697E-02 1.18722E-03 1.41716E-03 2.60438E-03 8.15157E-04 0.022328 7 7 30.0 90.0 90.0 8.34338E-02 1.18522E-03 1.86270E-03 3.04791E-03 8.13780E-04 0.022325 6 1 40.0 0.0 180.0 4.77434E-02 1.19834E-03 1.22497E-03 2.42331E-03 8.22790E-04 0.025657 6 4 40.0 45.0 135.0 5.11180E-02 1.19615E-03 1.31167E-03 2.50782E-03 8.21285E-04 0.025660 6 7 40.0 90.0 90.0 6.27516E-02 1.19065E-03 1.61015E-03 2.80080E-03 8.17510E-04 0.025659 5 1 50.0 0.0 180.0 4.42211E-02 1.22814E-03 1.56907E-03 2.79722E-03 8.43253E-04 0.035482 5 4 50.0 45.0 135.0 4.67053E-02 1.22442E-03 1.65817E-03 2.88258E-03 8.40697E-04 0.035503 5 7 50.0 90.0 90.0 5.46852E-02 1.23413E-03 1.94138E-03 3.17551E-03 8.47365E-04 0.035501 4 1 60.0 0.0 180.0 4.58673E-02 1.23485E-03 2.89918E-03 4.13404E-03 8.47861E-04 0.063208 4 4 60.0 45.0 135.0 4.78507E-02 1.23949E-03 3.02452E-03 4.26401E-03 8.51044E-04 0.063207 4 7 60.0 90.0 90.0 5.41385E-02 1.23974E-03 3.42152E-03 4.66126E-03 8.51215E-04 0.063199 3 1 70.0 0.0 180.0 5.50080E-02 1.18826E-03 7.78184E-03 8.97010E-03 8.15873E-04 0.141467 3 4 70.0 45.0 135.0 5.64619E-02 1.18427E-03 7.97752E-03 9.16179E-03 8.13133E-04 0.141290 3 7 70.0 90.0 90.0 6.15766E-02 1.19471E-03 8.70903E-03 9.90374E-03 8.20296E-04 0.141434 2 1 80.0 0.0 180.0 8.20304E-02 8.91066E-04 3.01531E-02 3.10441E-02 6.11813E-04 0.367584 2 4 80.0 45.0 135.0 8.24261E-02 8.94107E-04 3.02784E-02 3.11725E-02 6.13902E-04 0.367340 2 7 80.0 90.0 90.0 8.57015E-02 9.10108E-04 3.15050E-02 3.24151E-02 6.24888E-04 0.367613 1 1 87.5 0.0 180.0 1.23663E-01 4.04104E-04 9.56047E-02 9.60088E-02 2.77462E-04 0.773106 1 4 87.5 45.0 135.0 1.22182E-01 4.19973E-04 9.44642E-02 9.48842E-02 2.88357E-04 0.773143 1 7 87.5 90.0 90.0 1.21955E-01 4.23060E-04 9.42188E-02 9.46419E-02 2.90477E-04 0.772570 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 625.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 7.762E-03 3.147E-01 1.098E-01 1.083E-01 1.156E-01 5.330E-03 6.027E+00 1.140E-03 7.827E-04 1 0.00 0.00 2.096E-03 5.266E+00 4.590E-03 5.384E-03 6.991E-03 1.476E-03 4.196E+00 3 1.09 1.00 1.538E-03 3.504E+00 4.527E-03 5.587E-03 7.616E-03 1.506E-03 4.415E+00 5 2.18 2.00 1.118E-03 2.252E+00 3.722E-03 4.661E-03 6.438E-03 1.538E-03 4.559E+00 7 3.27 3.00 8.093E-04 1.423E+00 2.907E-03 3.672E-03 5.110E-03 1.573E-03 4.664E+00 9 4.37 4.00 5.840E-04 8.936E-01 2.213E-03 2.808E-03 3.918E-03 1.614E-03 4.740E+00 11 5.46 5.00 4.211E-04 5.609E-01 1.660E-03 2.109E-03 2.935E-03 1.664E-03 4.791E+00 13 6.55 6.00 3.040E-04 3.531E-01 1.233E-03 1.563E-03 2.160E-03 1.726E-03 4.819E+00 15 7.64 7.00 2.201E-04 2.234E-01 9.089E-04 1.146E-03 1.568E-03 1.802E-03 4.823E+00 17 8.73 8.00 1.602E-04 1.422E-01 6.665E-04 8.345E-04 1.126E-03 1.897E-03 4.803E+00 19 9.82 9.00 1.174E-04 9.110E-02 4.868E-04 6.039E-04 8.024E-04 2.018E-03 4.761E+00 21 10.91 10.00 8.683E-05 5.873E-02 3.546E-04 4.352E-04 5.682E-04 2.172E-03 4.696E+00 Waveband 28 of 40 completed in 4.8 sec. * * * * * Output for wavelength band 29 (630.0 to 640.0 nm; nominal wavelength = 635.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 28.0 m at 635.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 630.0 nm to 640.0 nm: Ed(diffuse) = 2.871E-01 Ed(direct) = 1.151E+00 Ed(total) = 1.438E+00 Absorption Coefficients of Individual Components at 635.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3012 0.0193 0.0000 0.0012 0.3216 3 1.110 1.000 0.3012 0.0193 0.0000 0.0012 0.3216 5 2.220 2.000 0.3012 0.0193 0.0000 0.0012 0.3216 7 3.330 3.000 0.3012 0.0193 0.0000 0.0012 0.3216 9 4.440 4.000 0.3012 0.0193 0.0000 0.0012 0.3216 11 5.550 5.000 0.3012 0.0193 0.0000 0.0012 0.3216 13 6.660 6.000 0.3012 0.0193 0.0000 0.0012 0.3216 15 7.770 7.000 0.3012 0.0193 0.0000 0.0012 0.3216 17 8.880 8.000 0.3012 0.0193 0.0000 0.0012 0.3216 19 9.990 9.000 0.3012 0.0193 0.0000 0.0012 0.3216 21 11.100 10.000 0.3012 0.0193 0.0000 0.0012 0.3216 Scattering Coefficients of Individual Components at 635.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0010 0.2757 0.5116 0.0000 0.7884 3 1.110 1.000 0.0010 0.2757 0.5116 0.0000 0.7884 5 2.220 2.000 0.0010 0.2757 0.5116 0.0000 0.7884 7 3.330 3.000 0.0010 0.2757 0.5116 0.0000 0.7884 9 4.440 4.000 0.0010 0.2757 0.5116 0.0000 0.7884 11 5.550 5.000 0.0010 0.2757 0.5116 0.0000 0.7884 13 6.660 6.000 0.0010 0.2757 0.5116 0.0000 0.7884 15 7.770 7.000 0.0010 0.2757 0.5116 0.0000 0.7884 17 8.880 8.000 0.0010 0.2757 0.5116 0.0000 0.7884 19 9.990 9.000 0.0010 0.2757 0.5116 0.0000 0.7884 21 11.100 10.000 0.0010 0.2757 0.5116 0.0000 0.7884 Backscattering Coefficients of Individual Components at 635.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00051 0.00387 0.00090 0.00000 0.00528 3 1.110 1.000 0.00051 0.00387 0.00090 0.00000 0.00528 5 2.220 2.000 0.00051 0.00387 0.00090 0.00000 0.00528 7 3.330 3.000 0.00051 0.00387 0.00090 0.00000 0.00528 9 4.440 4.000 0.00051 0.00387 0.00090 0.00000 0.00528 11 5.550 5.000 0.00051 0.00387 0.00090 0.00000 0.00528 13 6.660 6.000 0.00051 0.00387 0.00090 0.00000 0.00528 15 7.770 7.000 0.00051 0.00387 0.00090 0.00000 0.00528 17 8.880 8.000 0.00051 0.00387 0.00090 0.00000 0.00528 19 9.990 9.000 0.00051 0.00387 0.00090 0.00000 0.00528 21 11.100 10.000 0.00051 0.00387 0.00090 0.00000 0.00528 Summary of Inherent Optical Properties at 635.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3216 0.7884 1.1100 0.7102 0.00528 0.00670 3 1.110 1.000 0.3216 0.7884 1.1100 0.7102 0.00528 0.00670 5 2.220 2.000 0.3216 0.7884 1.1100 0.7102 0.00528 0.00670 7 3.330 3.000 0.3216 0.7884 1.1100 0.7102 0.00528 0.00670 9 4.440 4.000 0.3216 0.7884 1.1100 0.7102 0.00528 0.00670 11 5.550 5.000 0.3216 0.7884 1.1100 0.7102 0.00528 0.00670 13 6.660 6.000 0.3216 0.7884 1.1100 0.7102 0.00528 0.00670 15 7.770 7.000 0.3216 0.7884 1.1100 0.7102 0.00528 0.00670 17 8.880 8.000 0.3216 0.7884 1.1100 0.7102 0.00528 0.00670 19 9.990 9.000 0.3216 0.7884 1.1100 0.7102 0.00528 0.00670 21 11.100 10.000 0.3216 0.7884 1.1100 0.7102 0.00528 0.00670 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.1237E-01 8 20.00 7.1261E-01 7 30.00 4.8142E-01 6 40.00 2.8754E-01 5 50.00 1.5634E-01 4 60.00 8.0144E-02 3 70.00 4.0243E-02 2 80.00 2.0673E-02 1 87.50 1.2797E-02 1 92.50 9.2108E-03 2 100.00 6.1463E-03 3 110.00 3.9314E-03 4 120.00 2.7476E-03 5 130.00 2.1055E-03 6 140.00 1.7483E-03 7 150.00 1.5465E-03 8 160.00 1.4339E-03 9 170.00 1.3768E-03 10 180.00 1.3573E-03 Asymptotic AOP values are MUu(inf) = 0.3320 MUd(inf) = 0.7995 MU(inf) = 0.7784 R(inf) = 0.0079 Lu(inf)/Ed(inf) = 0.001405 (1/sr) k(inf) = 0.4132 (1/m) absorp(check) = 0.3217 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 635.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.3397E-01 1.7052E+00 1.8391E+00 4.5670E-02 1.4383E+00 0.3409 0.8435 0.7572 3.1753E-02 1 0.00 0.00 1.9744E-02 1.4727E+00 1.4924E+00 8.0640E-03 1.4025E+00 0.4084 0.9524 0.9344 5.7497E-03 3 1.11 1.00 1.5742E-02 1.0699E+00 1.0856E+00 6.1043E-03 9.8889E-01 0.3878 0.9243 0.9053 6.1729E-03 5 2.22 2.00 1.1892E-02 7.6369E-01 7.7558E-01 4.4944E-03 6.9071E-01 0.3779 0.9044 0.8848 6.5069E-03 7 3.33 3.00 8.7759E-03 5.3891E-01 5.4768E-01 3.2624E-03 4.7888E-01 0.3717 0.8886 0.8684 6.8126E-03 9 4.44 4.00 6.3851E-03 3.7690E-01 3.8329E-01 2.3474E-03 3.2996E-01 0.3676 0.8755 0.8547 7.1140E-03 11 5.55 5.00 4.6019E-03 2.6165E-01 2.6625E-01 1.6797E-03 2.2614E-01 0.3650 0.8643 0.8430 7.4277E-03 13 6.66 6.00 3.2956E-03 1.8048E-01 1.8377E-01 1.1984E-03 1.5425E-01 0.3636 0.8547 0.8328 7.7693E-03 15 7.77 7.00 2.3515E-03 1.2382E-01 1.2617E-01 8.5474E-04 1.0480E-01 0.3635 0.8464 0.8238 8.1559E-03 17 8.88 8.00 1.6758E-03 8.4555E-02 8.6231E-02 6.1089E-04 7.0956E-02 0.3645 0.8392 0.8158 8.6093E-03 19 9.99 9.00 1.1957E-03 5.7509E-02 5.8705E-02 4.3862E-04 4.7899E-02 0.3668 0.8329 0.8085 9.1570E-03 21 11.10 10.00 8.5626E-04 3.8982E-02 3.9838E-02 3.1720E-04 3.2253E-02 0.3704 0.8274 0.8016 9.8346E-03 K-functions (units of 1/meter) at 635.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.15452 0.30450 0.30251 0.25010 0.34353 0.34407 0.32221 1.000 1.010 1.005 0.26315 0.33006 0.32909 0.29623 0.35466 0.35503 0.33388 2.000 2.010 2.005 0.29451 0.34349 0.34274 0.31455 0.36284 0.36316 0.34009 3.000 3.010 3.005 0.31207 0.35344 0.35278 0.32549 0.36956 0.36986 0.34333 4.000 4.010 4.005 0.32343 0.36151 0.36087 0.33244 0.37530 0.37561 0.34415 5.000 5.010 5.005 0.33117 0.36832 0.36768 0.33656 0.38028 0.38060 0.34266 6.000 6.010 6.005 0.33612 0.37419 0.37351 0.33818 0.38461 0.38497 0.33878 7.000 7.010 7.005 0.33858 0.37925 0.37849 0.33735 0.38835 0.38877 0.33244 8.000 8.010 8.005 0.33864 0.38359 0.38272 0.33403 0.39158 0.39208 0.32360 9.000 9.010 9.005 0.33619 0.38727 0.38623 0.32813 0.39432 0.39493 0.31231 10.000 10.010 10.005 0.33121 0.39035 0.38908 0.31965 0.39660 0.39737 0.29883 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 635.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 3.04067E-01 1.04562E-03 6.39827E-03 7.44390E-03 7.26998E-04 0.021042 9 1 10.0 0.0 180.0 1.33311E-01 1.05533E-03 2.81410E-03 3.86943E-03 7.33745E-04 0.021109 9 4 10.0 45.0 135.0 1.49029E-01 1.05166E-03 3.14676E-03 4.19842E-03 7.31191E-04 0.021115 9 7 10.0 90.0 90.0 2.07970E-01 1.04541E-03 4.39299E-03 5.43840E-03 7.26849E-04 0.021123 8 1 20.0 0.0 180.0 7.96958E-02 1.06649E-03 1.70102E-03 2.76751E-03 7.41506E-04 0.021344 8 4 20.0 45.0 135.0 8.89315E-02 1.05958E-03 1.89811E-03 2.95769E-03 7.36698E-04 0.021344 8 7 20.0 90.0 90.0 1.24978E-01 1.05417E-03 2.66753E-03 3.72170E-03 7.32942E-04 0.021344 7 1 30.0 0.0 180.0 5.61531E-02 1.09050E-03 1.25379E-03 2.34429E-03 7.58201E-04 0.022328 7 4 30.0 45.0 135.0 6.13222E-02 1.08862E-03 1.36921E-03 2.45783E-03 7.56894E-04 0.022328 7 7 30.0 90.0 90.0 8.06108E-02 1.08646E-03 1.79967E-03 2.88613E-03 7.55390E-04 0.022325 6 1 40.0 0.0 180.0 4.61280E-02 1.09849E-03 1.18352E-03 2.28201E-03 7.63752E-04 0.025657 6 4 40.0 45.0 135.0 4.93885E-02 1.09629E-03 1.26729E-03 2.36358E-03 7.62225E-04 0.025660 6 7 40.0 90.0 90.0 6.06284E-02 1.09078E-03 1.55568E-03 2.64646E-03 7.58394E-04 0.025659 5 1 50.0 0.0 180.0 4.27249E-02 1.12550E-03 1.51598E-03 2.64148E-03 7.82531E-04 0.035482 5 4 50.0 45.0 135.0 4.51250E-02 1.12187E-03 1.60206E-03 2.72393E-03 7.80011E-04 0.035503 5 7 50.0 90.0 90.0 5.28349E-02 1.13025E-03 1.87569E-03 3.00594E-03 7.85834E-04 0.035501 4 1 60.0 0.0 180.0 4.43154E-02 1.13128E-03 2.80109E-03 3.93237E-03 7.86551E-04 0.063208 4 4 60.0 45.0 135.0 4.62317E-02 1.13528E-03 2.92218E-03 4.05747E-03 7.89336E-04 0.063207 4 7 60.0 90.0 90.0 5.23068E-02 1.13495E-03 3.30575E-03 4.44071E-03 7.89106E-04 0.063199 3 1 70.0 0.0 180.0 5.31469E-02 1.08844E-03 7.51854E-03 8.60698E-03 7.56764E-04 0.141467 3 4 70.0 45.0 135.0 5.45516E-02 1.08455E-03 7.70760E-03 8.79216E-03 7.54065E-04 0.141290 3 7 70.0 90.0 90.0 5.94932E-02 1.09357E-03 8.41436E-03 9.50793E-03 7.60332E-04 0.141434 2 1 80.0 0.0 180.0 7.92549E-02 8.15904E-04 2.91328E-02 2.99488E-02 5.67279E-04 0.367584 2 4 80.0 45.0 135.0 7.96373E-02 8.18527E-04 2.92539E-02 3.00725E-02 5.69103E-04 0.367340 2 7 80.0 90.0 90.0 8.28018E-02 8.32766E-04 3.04390E-02 3.12718E-02 5.79003E-04 0.367613 1 1 87.5 0.0 180.0 1.19479E-01 3.70018E-04 9.23699E-02 9.27400E-02 2.57265E-04 0.773106 1 4 87.5 45.0 135.0 1.18048E-01 3.84473E-04 9.12680E-02 9.16525E-02 2.67315E-04 0.773143 1 7 87.5 90.0 90.0 1.17829E-01 3.87108E-04 9.10309E-02 9.14181E-02 2.69147E-04 0.772570 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 635.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 7.444E-03 3.041E-01 1.061E-01 1.046E-01 1.116E-01 5.176E-03 6.135E+00 1.046E-03 7.270E-04 1 0.00 0.00 1.923E-03 5.215E+00 4.245E-03 4.990E-03 6.506E-03 1.371E-03 4.194E+00 3 1.11 1.00 1.384E-03 3.407E+00 4.116E-03 5.094E-03 6.973E-03 1.400E-03 4.410E+00 5 2.22 2.00 9.879E-04 2.149E+00 3.309E-03 4.155E-03 5.760E-03 1.430E-03 4.549E+00 7 3.33 3.00 7.018E-04 1.333E+00 2.529E-03 3.201E-03 4.469E-03 1.466E-03 4.648E+00 9 4.44 4.00 4.976E-04 8.211E-01 1.885E-03 2.396E-03 3.352E-03 1.508E-03 4.718E+00 11 5.55 5.00 3.529E-04 5.056E-01 1.385E-03 1.761E-03 2.456E-03 1.561E-03 4.760E+00 13 6.66 6.00 2.509E-04 3.122E-01 1.008E-03 1.278E-03 1.769E-03 1.627E-03 4.776E+00 15 7.77 7.00 1.793E-04 1.938E-01 7.290E-04 9.193E-04 1.258E-03 1.711E-03 4.766E+00 17 8.88 8.00 1.292E-04 1.210E-01 5.247E-04 6.563E-04 8.852E-04 1.820E-03 4.730E+00 19 9.99 9.00 9.396E-05 7.602E-02 3.766E-04 4.663E-04 6.183E-04 1.962E-03 4.668E+00 21 11.10 10.00 6.921E-05 4.806E-02 2.700E-04 3.302E-04 4.298E-04 2.146E-03 4.583E+00 Waveband 29 of 40 completed in 4.9 sec. * * * * * Output for wavelength band 30 (640.0 to 650.0 nm; nominal wavelength = 645.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 27.6 m at 645.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 640.0 nm to 650.0 nm: Ed(diffuse) = 2.725E-01 Ed(direct) = 1.122E+00 Ed(total) = 1.394E+00 Absorption Coefficients of Individual Components at 645.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3250 0.0197 0.0000 0.0010 0.3457 3 1.134 1.000 0.3250 0.0197 0.0000 0.0010 0.3457 5 2.268 2.000 0.3250 0.0197 0.0000 0.0010 0.3457 7 3.402 3.000 0.3250 0.0197 0.0000 0.0010 0.3457 9 4.536 4.000 0.3250 0.0197 0.0000 0.0010 0.3457 11 5.670 5.000 0.3250 0.0197 0.0000 0.0010 0.3457 13 6.804 6.000 0.3250 0.0197 0.0000 0.0010 0.3457 15 7.938 7.000 0.3250 0.0197 0.0000 0.0010 0.3457 17 9.073 8.000 0.3250 0.0197 0.0000 0.0010 0.3457 19 10.207 9.000 0.3250 0.0197 0.0000 0.0010 0.3457 21 11.341 10.000 0.3250 0.0197 0.0000 0.0010 0.3457 Scattering Coefficients of Individual Components at 645.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0010 0.2757 0.5116 0.0000 0.7883 3 1.134 1.000 0.0010 0.2757 0.5116 0.0000 0.7883 5 2.268 2.000 0.0010 0.2757 0.5116 0.0000 0.7883 7 3.402 3.000 0.0010 0.2757 0.5116 0.0000 0.7883 9 4.536 4.000 0.0010 0.2757 0.5116 0.0000 0.7883 11 5.670 5.000 0.0010 0.2757 0.5116 0.0000 0.7883 13 6.804 6.000 0.0010 0.2757 0.5116 0.0000 0.7883 15 7.938 7.000 0.0010 0.2757 0.5116 0.0000 0.7883 17 9.073 8.000 0.0010 0.2757 0.5116 0.0000 0.7883 19 10.207 9.000 0.0010 0.2757 0.5116 0.0000 0.7883 21 11.341 10.000 0.0010 0.2757 0.5116 0.0000 0.7883 Backscattering Coefficients of Individual Components at 645.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00048 0.00387 0.00090 0.00000 0.00525 3 1.134 1.000 0.00048 0.00387 0.00090 0.00000 0.00525 5 2.268 2.000 0.00048 0.00387 0.00090 0.00000 0.00525 7 3.402 3.000 0.00048 0.00387 0.00090 0.00000 0.00525 9 4.536 4.000 0.00048 0.00387 0.00090 0.00000 0.00525 11 5.670 5.000 0.00048 0.00387 0.00090 0.00000 0.00525 13 6.804 6.000 0.00048 0.00387 0.00090 0.00000 0.00525 15 7.938 7.000 0.00048 0.00387 0.00090 0.00000 0.00525 17 9.073 8.000 0.00048 0.00387 0.00090 0.00000 0.00525 19 10.207 9.000 0.00048 0.00387 0.00090 0.00000 0.00525 21 11.341 10.000 0.00048 0.00387 0.00090 0.00000 0.00525 Summary of Inherent Optical Properties at 645.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3457 0.7883 1.1341 0.6951 0.00525 0.00666 3 1.134 1.000 0.3457 0.7883 1.1341 0.6951 0.00525 0.00666 5 2.268 2.000 0.3457 0.7883 1.1341 0.6951 0.00525 0.00666 7 3.402 3.000 0.3457 0.7883 1.1341 0.6951 0.00525 0.00666 9 4.536 4.000 0.3457 0.7883 1.1341 0.6951 0.00525 0.00666 11 5.670 5.000 0.3457 0.7883 1.1341 0.6951 0.00525 0.00666 13 6.804 6.000 0.3457 0.7883 1.1341 0.6951 0.00525 0.00666 15 7.938 7.000 0.3457 0.7883 1.1341 0.6951 0.00525 0.00666 17 9.073 8.000 0.3457 0.7883 1.1341 0.6951 0.00525 0.00666 19 10.207 9.000 0.3457 0.7883 1.1341 0.6951 0.00525 0.00666 21 11.341 10.000 0.3457 0.7883 1.1341 0.6951 0.00525 0.00666 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.0880E-01 8 20.00 7.0247E-01 7 30.00 4.6711E-01 6 40.00 2.7358E-01 5 50.00 1.4564E-01 4 60.00 7.3146E-02 3 70.00 3.6087E-02 2 80.00 1.8292E-02 1 87.50 1.1247E-02 1 92.50 8.0781E-03 2 100.00 5.3813E-03 3 110.00 3.4409E-03 4 120.00 2.4096E-03 5 130.00 1.8524E-03 6 140.00 1.5433E-03 7 150.00 1.3690E-03 8 160.00 1.2719E-03 9 170.00 1.2227E-03 10 180.00 1.2059E-03 Asymptotic AOP values are MUu(inf) = 0.3328 MUd(inf) = 0.8054 MU(inf) = 0.7860 R(inf) = 0.0072 Lu(inf)/Ed(inf) = 0.001288 (1/sr) k(inf) = 0.4399 (1/m) absorp(check) = 0.3458 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 645.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.2741E-01 1.6482E+00 1.7756E+00 4.3760E-02 1.3943E+00 0.3435 0.8460 0.7606 3.1385E-02 1 0.00 0.00 1.7607E-02 1.4260E+00 1.4436E+00 7.1721E-03 1.3595E+00 0.4073 0.9534 0.9368 5.2756E-03 3 1.13 1.00 1.3688E-02 1.0097E+00 1.0234E+00 5.2948E-03 9.3470E-01 0.3868 0.9257 0.9082 5.6647E-03 5 2.27 2.00 1.0070E-02 7.0213E-01 7.1220E-01 3.8006E-03 6.3634E-01 0.3774 0.9063 0.8882 5.9725E-03 7 3.40 3.00 7.2409E-03 4.8256E-01 4.8980E-01 2.6911E-03 4.2991E-01 0.3717 0.8909 0.8722 6.2596E-03 9 4.54 4.00 5.1371E-03 3.2865E-01 3.3379E-01 1.8906E-03 2.8859E-01 0.3680 0.8781 0.8589 6.5510E-03 11 5.67 5.00 3.6141E-03 2.2215E-01 2.2577E-01 1.3227E-03 1.9266E-01 0.3660 0.8672 0.8475 6.8653E-03 13 6.80 6.00 2.5304E-03 1.4921E-01 1.5174E-01 9.2451E-04 1.2801E-01 0.3654 0.8579 0.8375 7.2222E-03 15 7.94 7.00 1.7685E-03 9.9665E-02 1.0143E-01 6.4758E-04 8.4702E-02 0.3662 0.8499 0.8287 7.6454E-03 17 9.07 8.00 1.2377E-03 6.6261E-02 6.7499E-02 4.5603E-04 5.5849E-02 0.3685 0.8429 0.8207 8.1655E-03 19 10.21 9.00 8.7013E-04 4.3879E-02 4.4749E-02 3.2394E-04 3.6715E-02 0.3723 0.8367 0.8132 8.8232E-03 21 11.34 10.00 6.1657E-04 2.8963E-02 2.9579E-02 2.3289E-04 2.4077E-02 0.3777 0.8313 0.8061 9.6728E-03 K-functions (units of 1/meter) at 645.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.17501 0.32947 0.32758 0.27365 0.36842 0.36892 0.34623 1.000 1.010 1.005 0.28962 0.35606 0.35518 0.32173 0.38011 0.38045 0.35794 2.000 2.010 2.005 0.32079 0.36979 0.36910 0.33974 0.38861 0.38890 0.36353 3.000 3.010 3.005 0.33769 0.37992 0.37929 0.34992 0.39556 0.39585 0.36565 4.000 4.010 4.005 0.34817 0.38811 0.38750 0.35573 0.40148 0.40178 0.36481 5.000 5.010 5.005 0.35462 0.39502 0.39437 0.35822 0.40659 0.40693 0.36099 6.000 6.010 6.005 0.35792 0.40094 0.40023 0.35764 0.41102 0.41141 0.35406 7.000 7.010 7.005 0.35813 0.40602 0.40518 0.35391 0.41483 0.41530 0.34389 8.000 8.010 8.005 0.35519 0.41033 0.40932 0.34689 0.41808 0.41867 0.33049 9.000 9.010 9.005 0.34898 0.41393 0.41267 0.33653 0.42080 0.42155 0.31416 10.000 10.010 10.005 0.33943 0.41685 0.41523 0.32294 0.42302 0.42400 0.29545 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 645.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 2.88605E-01 9.31333E-04 6.07291E-03 7.00425E-03 6.67964E-04 0.021042 9 1 10.0 0.0 180.0 1.26532E-01 9.40123E-04 2.67098E-03 3.61110E-03 6.74268E-04 0.021109 9 4 10.0 45.0 135.0 1.41453E-01 9.36695E-04 2.98679E-03 3.92348E-03 6.71810E-04 0.021115 9 7 10.0 90.0 90.0 1.97383E-01 9.30964E-04 4.16939E-03 5.10035E-03 6.67699E-04 0.021123 8 1 20.0 0.0 180.0 7.56432E-02 9.49888E-04 1.61452E-03 2.56441E-03 6.81272E-04 0.021344 8 4 20.0 45.0 135.0 8.44093E-02 9.43567E-04 1.80159E-03 2.74516E-03 6.76738E-04 0.021344 8 7 20.0 90.0 90.0 1.18622E-01 9.38487E-04 2.53188E-03 3.47037E-03 6.73095E-04 0.021344 7 1 30.0 0.0 180.0 5.32977E-02 9.71060E-04 1.19003E-03 2.16109E-03 6.96456E-04 0.022328 7 4 30.0 45.0 135.0 5.82039E-02 9.69226E-04 1.29959E-03 2.26881E-03 6.95141E-04 0.022328 7 7 30.0 90.0 90.0 7.65117E-02 9.66935E-04 1.70816E-03 2.67509E-03 6.93498E-04 0.022325 6 1 40.0 0.0 180.0 4.37824E-02 9.77594E-04 1.12334E-03 2.10093E-03 7.01143E-04 0.025657 6 4 40.0 45.0 135.0 4.68770E-02 9.75427E-04 1.20285E-03 2.17828E-03 6.99589E-04 0.025660 6 7 40.0 90.0 90.0 5.75455E-02 9.69985E-04 1.47657E-03 2.44655E-03 6.95685E-04 0.025659 5 1 50.0 0.0 180.0 4.05523E-02 1.00124E-03 1.43890E-03 2.44014E-03 7.18104E-04 0.035482 5 4 50.0 45.0 135.0 4.28304E-02 9.97774E-04 1.52060E-03 2.51837E-03 7.15616E-04 0.035503 5 7 50.0 90.0 90.0 5.01482E-02 1.00460E-03 1.78031E-03 2.78492E-03 7.20514E-04 0.035501 4 1 60.0 0.0 180.0 4.20620E-02 1.00593E-03 2.65865E-03 3.66458E-03 7.21463E-04 0.063208 4 4 60.0 45.0 135.0 4.38808E-02 1.00921E-03 2.77359E-03 3.78280E-03 7.23815E-04 0.063207 4 7 60.0 90.0 90.0 4.96470E-02 1.00823E-03 3.13765E-03 4.14589E-03 7.23117E-04 0.063199 3 1 70.0 0.0 180.0 5.04443E-02 9.67605E-04 7.13622E-03 8.10382E-03 6.93978E-04 0.141467 3 4 70.0 45.0 135.0 5.17776E-02 9.63881E-04 7.31567E-03 8.27955E-03 6.91308E-04 0.141290 3 7 70.0 90.0 90.0 5.64679E-02 9.71216E-04 7.98649E-03 8.95770E-03 6.96568E-04 0.141434 2 1 80.0 0.0 180.0 7.52247E-02 7.24903E-04 2.76514E-02 2.83763E-02 5.19909E-04 0.367584 2 4 80.0 45.0 135.0 7.55877E-02 7.27026E-04 2.77664E-02 2.84934E-02 5.21432E-04 0.367340 2 7 80.0 90.0 90.0 7.85913E-02 7.39129E-04 2.88912E-02 2.96303E-02 5.30112E-04 0.367613 1 1 87.5 0.0 180.0 1.13403E-01 3.28748E-04 8.76729E-02 8.80016E-02 2.35782E-04 0.773106 1 4 87.5 45.0 135.0 1.12045E-01 3.41493E-04 8.66270E-02 8.69685E-02 2.44923E-04 0.773143 1 7 87.5 90.0 90.0 1.11837E-01 3.43581E-04 8.64020E-02 8.67456E-02 2.46421E-04 0.772570 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 645.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 7.004E-03 2.886E-01 1.007E-01 9.929E-02 1.060E-01 5.024E-03 6.248E+00 9.313E-04 6.680E-04 1 0.00 0.00 1.713E-03 5.069E+00 3.812E-03 4.492E-03 5.879E-03 1.260E-03 4.188E+00 3 1.13 1.00 1.203E-03 3.233E+00 3.614E-03 4.484E-03 6.163E-03 1.288E-03 4.400E+00 5 2.27 2.00 8.387E-04 1.990E+00 2.821E-03 3.551E-03 4.940E-03 1.318E-03 4.531E+00 7 3.40 3.00 5.824E-04 1.205E+00 2.096E-03 2.658E-03 3.723E-03 1.355E-03 4.621E+00 9 4.54 4.00 4.041E-04 7.243E-01 1.521E-03 1.935E-03 2.713E-03 1.400E-03 4.679E+00 11 5.67 5.00 2.810E-04 4.351E-01 1.089E-03 1.385E-03 1.933E-03 1.459E-03 4.707E+00 13 6.80 6.00 1.965E-04 2.622E-01 7.729E-04 9.795E-04 1.355E-03 1.535E-03 4.705E+00 15 7.94 7.00 1.386E-04 1.587E-01 5.456E-04 6.868E-04 9.383E-04 1.636E-03 4.673E+00 17 9.07 8.00 9.888E-05 9.664E-02 3.840E-04 4.788E-04 6.437E-04 1.771E-03 4.612E+00 19 10.21 9.00 7.162E-05 5.921E-02 2.700E-04 3.327E-04 4.391E-04 1.951E-03 4.523E+00 21 11.34 10.00 5.279E-05 3.650E-02 1.900E-04 2.310E-04 2.986E-04 2.193E-03 4.412E+00 Waveband 30 of 40 completed in 4.9 sec. * * * * * Output for wavelength band 31 (650.0 to 660.0 nm; nominal wavelength = 655.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 26.9 m at 655.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 650.0 nm to 660.0 nm: Ed(diffuse) = 2.551E-01 Ed(direct) = 1.078E+00 Ed(total) = 1.333E+00 Absorption Coefficients of Individual Components at 655.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3710 0.0223 0.0000 0.0009 0.3941 3 1.182 1.000 0.3710 0.0223 0.0000 0.0009 0.3941 5 2.365 2.000 0.3710 0.0223 0.0000 0.0009 0.3941 7 3.547 3.000 0.3710 0.0223 0.0000 0.0009 0.3941 9 4.730 4.000 0.3710 0.0223 0.0000 0.0009 0.3941 11 5.912 5.000 0.3710 0.0223 0.0000 0.0009 0.3941 13 7.094 6.000 0.3710 0.0223 0.0000 0.0009 0.3941 15 8.277 7.000 0.3710 0.0223 0.0000 0.0009 0.3941 17 9.459 8.000 0.3710 0.0223 0.0000 0.0009 0.3941 19 10.642 9.000 0.3710 0.0223 0.0000 0.0009 0.3941 21 11.824 10.000 0.3710 0.0223 0.0000 0.0009 0.3941 Scattering Coefficients of Individual Components at 655.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0009 0.2757 0.5116 0.0000 0.7883 3 1.182 1.000 0.0009 0.2757 0.5116 0.0000 0.7883 5 2.365 2.000 0.0009 0.2757 0.5116 0.0000 0.7883 7 3.547 3.000 0.0009 0.2757 0.5116 0.0000 0.7883 9 4.730 4.000 0.0009 0.2757 0.5116 0.0000 0.7883 11 5.912 5.000 0.0009 0.2757 0.5116 0.0000 0.7883 13 7.094 6.000 0.0009 0.2757 0.5116 0.0000 0.7883 15 8.277 7.000 0.0009 0.2757 0.5116 0.0000 0.7883 17 9.459 8.000 0.0009 0.2757 0.5116 0.0000 0.7883 19 10.642 9.000 0.0009 0.2757 0.5116 0.0000 0.7883 21 11.824 10.000 0.0009 0.2757 0.5116 0.0000 0.7883 Backscattering Coefficients of Individual Components at 655.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00045 0.00387 0.00090 0.00000 0.00522 3 1.182 1.000 0.00045 0.00387 0.00090 0.00000 0.00522 5 2.365 2.000 0.00045 0.00387 0.00090 0.00000 0.00522 7 3.547 3.000 0.00045 0.00387 0.00090 0.00000 0.00522 9 4.730 4.000 0.00045 0.00387 0.00090 0.00000 0.00522 11 5.912 5.000 0.00045 0.00387 0.00090 0.00000 0.00522 13 7.094 6.000 0.00045 0.00387 0.00090 0.00000 0.00522 15 8.277 7.000 0.00045 0.00387 0.00090 0.00000 0.00522 17 9.459 8.000 0.00045 0.00387 0.00090 0.00000 0.00522 19 10.642 9.000 0.00045 0.00387 0.00090 0.00000 0.00522 21 11.824 10.000 0.00045 0.00387 0.00090 0.00000 0.00522 Summary of Inherent Optical Properties at 655.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3941 0.7883 1.1824 0.6667 0.00522 0.00662 3 1.182 1.000 0.3941 0.7883 1.1824 0.6667 0.00522 0.00662 5 2.365 2.000 0.3941 0.7883 1.1824 0.6667 0.00522 0.00662 7 3.547 3.000 0.3941 0.7883 1.1824 0.6667 0.00522 0.00662 9 4.730 4.000 0.3941 0.7883 1.1824 0.6667 0.00522 0.00662 11 5.912 5.000 0.3941 0.7883 1.1824 0.6667 0.00522 0.00662 13 7.094 6.000 0.3941 0.7883 1.1824 0.6667 0.00522 0.00662 15 8.277 7.000 0.3941 0.7883 1.1824 0.6667 0.00522 0.00662 17 9.459 8.000 0.3941 0.7883 1.1824 0.6667 0.00522 0.00662 19 10.642 9.000 0.3941 0.7883 1.1824 0.6667 0.00522 0.00662 21 11.824 10.000 0.3941 0.7883 1.1824 0.6667 0.00522 0.00662 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.0194E-01 8 20.00 6.8329E-01 7 30.00 4.4072E-01 6 40.00 2.4870E-01 5 50.00 1.2724E-01 4 60.00 6.1549E-02 3 70.00 2.9429E-02 2 80.00 1.4584E-02 1 87.50 8.8738E-03 1 92.50 6.3573E-03 2 100.00 4.2292E-03 3 110.00 2.7080E-03 4 120.00 1.9064E-03 5 130.00 1.4758E-03 6 140.00 1.2380E-03 7 150.00 1.1043E-03 8 160.00 1.0301E-03 9 170.00 9.9255E-04 10 180.00 9.7972E-04 Asymptotic AOP values are MUu(inf) = 0.3348 MUd(inf) = 0.8159 MU(inf) = 0.7992 R(inf) = 0.0061 Lu(inf)/Ed(inf) = 0.001108 (1/sr) k(inf) = 0.4932 (1/m) absorp(check) = 0.3942 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 655.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.1929E-01 1.5709E+00 1.6902E+00 4.1241E-02 1.3328E+00 0.3457 0.8484 0.7641 3.0944E-02 1 0.00 0.00 1.4705E-02 1.3609E+00 1.3756E+00 5.9773E-03 1.2992E+00 0.4065 0.9547 0.9401 4.6006E-03 3 1.18 1.00 1.0877E-02 9.1518E-01 9.2606E-01 4.2068E-03 8.4905E-01 0.3868 0.9277 0.9123 4.9547E-03 5 2.36 2.00 7.6115E-03 6.0383E-01 6.1144E-01 2.8818E-03 5.4901E-01 0.3786 0.9092 0.8932 5.2490E-03 7 3.55 3.00 5.2188E-03 3.9361E-01 3.9883E-01 1.9534E-03 3.5212E-01 0.3743 0.8946 0.8780 5.5474E-03 9 4.73 4.00 3.5433E-03 2.5420E-01 2.5774E-01 1.3195E-03 2.2432E-01 0.3724 0.8825 0.8652 5.8823E-03 11 5.91 5.00 2.3970E-03 1.6291E-01 1.6530E-01 8.9299E-04 1.4208E-01 0.3726 0.8721 0.8541 6.2853E-03 13 7.09 6.00 1.6239E-03 1.0372E-01 1.0534E-01 6.0852E-04 8.9534E-02 0.3747 0.8632 0.8442 6.7965E-03 15 8.28 7.00 1.1075E-03 6.5690E-02 6.6798E-02 4.1978E-04 5.6198E-02 0.3790 0.8555 0.8350 7.4695E-03 17 9.46 8.00 7.6427E-04 4.1420E-02 4.2184E-02 2.9460E-04 3.5152E-02 0.3855 0.8487 0.8263 8.3805E-03 19 10.64 9.00 5.3637E-04 2.6025E-02 2.6561E-02 2.1129E-04 2.1927E-02 0.3939 0.8425 0.8176 9.6362E-03 21 11.82 10.00 3.8458E-04 1.6309E-02 1.6694E-02 1.5541E-04 1.3649E-02 0.4041 0.8369 0.8083 1.1387E-02 K-functions (units of 1/meter) at 655.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.21732 0.37975 0.37801 0.31946 0.41856 0.41902 0.39089 1.000 1.010 1.005 0.34057 0.40833 0.40753 0.36952 0.43133 0.43163 0.40105 2.000 2.010 2.005 0.36978 0.42256 0.42190 0.38514 0.44039 0.44069 0.40322 3.000 3.010 3.005 0.38360 0.43296 0.43231 0.39159 0.44774 0.44806 0.40028 4.000 4.010 4.005 0.38998 0.44133 0.44062 0.39222 0.45395 0.45432 0.39250 5.000 5.010 5.005 0.39091 0.44832 0.44748 0.38777 0.45926 0.45971 0.37973 6.000 6.010 6.005 0.38686 0.45421 0.45318 0.37822 0.46379 0.46437 0.36193 7.000 7.010 7.005 0.37774 0.45913 0.45778 0.36353 0.46759 0.46838 0.33954 8.000 8.010 8.005 0.36337 0.46312 0.46131 0.34390 0.47072 0.47179 0.31361 9.000 9.010 9.005 0.34410 0.46619 0.46372 0.32019 0.47316 0.47465 0.28578 10.000 10.010 10.005 0.32070 0.46828 0.46488 0.29381 0.47489 0.47698 0.25802 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 655.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 2.70139E-01 7.81229E-04 5.68435E-03 6.46558E-03 5.86172E-04 0.021042 9 1 10.0 0.0 180.0 1.18436E-01 7.88747E-04 2.50006E-03 3.28881E-03 5.91813E-04 0.021109 9 4 10.0 45.0 135.0 1.32404E-01 7.85673E-04 2.79572E-03 3.58139E-03 5.89506E-04 0.021115 9 7 10.0 90.0 90.0 1.84743E-01 7.80630E-04 3.90241E-03 4.68304E-03 5.85722E-04 0.021124 8 1 20.0 0.0 180.0 7.08033E-02 7.96615E-04 1.51122E-03 2.30783E-03 5.97716E-04 0.021344 8 4 20.0 45.0 135.0 7.90085E-02 7.91097E-04 1.68632E-03 2.47742E-03 5.93576E-04 0.021344 8 7 20.0 90.0 90.0 1.11033E-01 7.86449E-04 2.36988E-03 3.15633E-03 5.90088E-04 0.021344 7 1 30.0 0.0 180.0 4.98875E-02 8.13989E-04 1.11389E-03 1.92788E-03 6.10752E-04 0.022328 7 4 30.0 45.0 135.0 5.44799E-02 8.12229E-04 1.21643E-03 2.02866E-03 6.09432E-04 0.022328 7 7 30.0 90.0 90.0 7.16163E-02 8.09766E-04 1.59886E-03 2.40863E-03 6.07584E-04 0.022325 6 1 40.0 0.0 180.0 4.09810E-02 8.18394E-04 1.05147E-03 1.86986E-03 6.14057E-04 0.025657 6 4 40.0 45.0 135.0 4.38777E-02 8.16261E-04 1.12589E-03 1.94215E-03 6.12457E-04 0.025660 6 7 40.0 90.0 90.0 5.38635E-02 8.10845E-04 1.38209E-03 2.19294E-03 6.08393E-04 0.025659 5 1 50.0 0.0 180.0 3.79577E-02 8.37417E-04 1.34683E-03 2.18425E-03 6.28330E-04 0.035482 5 4 50.0 45.0 135.0 4.00900E-02 8.34128E-04 1.42330E-03 2.25743E-03 6.25863E-04 0.035503 5 7 50.0 90.0 90.0 4.69396E-02 8.38782E-04 1.66640E-03 2.50518E-03 6.29355E-04 0.035501 4 1 60.0 0.0 180.0 3.93707E-02 8.40416E-04 2.48854E-03 3.32896E-03 6.30581E-04 0.063208 4 4 60.0 45.0 135.0 4.10731E-02 8.42687E-04 2.59613E-03 3.43881E-03 6.32285E-04 0.063207 4 7 60.0 90.0 90.0 4.64704E-02 8.40646E-04 2.93690E-03 3.77754E-03 6.30754E-04 0.063199 3 1 70.0 0.0 180.0 4.72167E-02 8.07852E-04 6.67962E-03 7.48747E-03 6.06148E-04 0.141467 3 4 70.0 45.0 135.0 4.84647E-02 8.04268E-04 6.84759E-03 7.65185E-03 6.03458E-04 0.141290 3 7 70.0 90.0 90.0 5.28549E-02 8.09101E-04 7.47549E-03 8.28459E-03 6.07084E-04 0.141434 2 1 80.0 0.0 180.0 7.04116E-02 6.04197E-04 2.58822E-02 2.64864E-02 4.53341E-04 0.367584 2 4 80.0 45.0 135.0 7.07513E-02 6.05560E-04 2.59898E-02 2.65953E-02 4.54364E-04 0.367340 2 7 80.0 90.0 90.0 7.35628E-02 6.14495E-04 2.70426E-02 2.76571E-02 4.61068E-04 0.367613 1 1 87.5 0.0 180.0 1.06147E-01 2.74007E-04 8.20633E-02 8.23373E-02 2.05593E-04 0.773106 1 4 87.5 45.0 135.0 1.04876E-01 2.84439E-04 8.10843E-02 8.13688E-02 2.13420E-04 0.773143 1 7 87.5 90.0 90.0 1.04681E-01 2.85646E-04 8.08737E-02 8.11593E-02 2.14326E-04 0.772570 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 655.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 6.466E-03 2.701E-01 9.424E-02 9.292E-02 9.916E-02 4.851E-03 6.379E+00 7.812E-04 5.862E-04 1 0.00 0.00 1.437E-03 4.858E+00 3.217E-03 3.797E-03 4.989E-03 1.106E-03 4.161E+00 3 1.18 1.00 9.659E-04 2.952E+00 2.907E-03 3.614E-03 4.985E-03 1.138E-03 4.355E+00 5 2.36 2.00 6.458E-04 1.731E+00 2.144E-03 2.699E-03 3.764E-03 1.176E-03 4.462E+00 7 3.55 3.00 4.320E-04 9.975E-01 1.509E-03 1.912E-03 2.679E-03 1.227E-03 4.522E+00 9 4.73 4.00 2.905E-04 5.709E-01 1.041E-03 1.321E-03 1.848E-03 1.295E-03 4.542E+00 11 5.91 5.00 1.973E-04 3.264E-01 7.111E-04 8.994E-04 1.249E-03 1.389E-03 4.525E+00 13 7.09 6.00 1.361E-04 1.871E-01 4.835E-04 6.073E-04 8.328E-04 1.520E-03 4.470E+00 15 8.28 7.00 9.581E-05 1.078E-01 3.286E-04 4.084E-04 5.505E-04 1.705E-03 4.381E+00 17 9.46 8.00 6.910E-05 6.241E-02 2.241E-04 2.747E-04 3.624E-04 1.966E-03 4.263E+00 19 10.64 9.00 5.120E-05 3.636E-02 1.540E-04 1.855E-04 2.389E-04 2.335E-03 4.127E+00 21 11.82 10.00 3.901E-05 2.132E-02 1.070E-04 1.264E-04 1.584E-04 2.858E-03 3.984E+00 Waveband 31 of 40 completed in 5.1 sec. * * * * * Output for wavelength band 32 (660.0 to 670.0 nm; nominal wavelength = 665.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 26.0 m at 665.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 660.0 nm to 670.0 nm: Ed(diffuse) = 2.597E-01 Ed(direct) = 1.125E+00 Ed(total) = 1.385E+00 Absorption Coefficients of Individual Components at 665.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.4290 0.0330 0.0000 0.0008 0.4628 3 1.251 1.000 0.4290 0.0330 0.0000 0.0008 0.4628 5 2.502 2.000 0.4290 0.0330 0.0000 0.0008 0.4628 7 3.753 3.000 0.4290 0.0330 0.0000 0.0008 0.4628 9 5.004 4.000 0.4290 0.0330 0.0000 0.0008 0.4628 11 6.255 5.000 0.4290 0.0330 0.0000 0.0008 0.4628 13 7.506 6.000 0.4290 0.0330 0.0000 0.0008 0.4628 15 8.757 7.000 0.4290 0.0330 0.0000 0.0008 0.4628 17 10.008 8.000 0.4290 0.0330 0.0000 0.0008 0.4628 19 11.259 9.000 0.4290 0.0330 0.0000 0.0008 0.4628 21 12.510 10.000 0.4290 0.0330 0.0000 0.0008 0.4628 Scattering Coefficients of Individual Components at 665.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0008 0.2757 0.5116 0.0000 0.7882 3 1.251 1.000 0.0008 0.2757 0.5116 0.0000 0.7882 5 2.502 2.000 0.0008 0.2757 0.5116 0.0000 0.7882 7 3.753 3.000 0.0008 0.2757 0.5116 0.0000 0.7882 9 5.004 4.000 0.0008 0.2757 0.5116 0.0000 0.7882 11 6.255 5.000 0.0008 0.2757 0.5116 0.0000 0.7882 13 7.506 6.000 0.0008 0.2757 0.5116 0.0000 0.7882 15 8.757 7.000 0.0008 0.2757 0.5116 0.0000 0.7882 17 10.008 8.000 0.0008 0.2757 0.5116 0.0000 0.7882 19 11.259 9.000 0.0008 0.2757 0.5116 0.0000 0.7882 21 12.510 10.000 0.0008 0.2757 0.5116 0.0000 0.7882 Backscattering Coefficients of Individual Components at 665.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00042 0.00387 0.00090 0.00000 0.00519 3 1.251 1.000 0.00042 0.00387 0.00090 0.00000 0.00519 5 2.502 2.000 0.00042 0.00387 0.00090 0.00000 0.00519 7 3.753 3.000 0.00042 0.00387 0.00090 0.00000 0.00519 9 5.004 4.000 0.00042 0.00387 0.00090 0.00000 0.00519 11 6.255 5.000 0.00042 0.00387 0.00090 0.00000 0.00519 13 7.506 6.000 0.00042 0.00387 0.00090 0.00000 0.00519 15 8.757 7.000 0.00042 0.00387 0.00090 0.00000 0.00519 17 10.008 8.000 0.00042 0.00387 0.00090 0.00000 0.00519 19 11.259 9.000 0.00042 0.00387 0.00090 0.00000 0.00519 21 12.510 10.000 0.00042 0.00387 0.00090 0.00000 0.00519 Summary of Inherent Optical Properties at 665.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.4628 0.7882 1.2510 0.6301 0.00519 0.00658 3 1.251 1.000 0.4628 0.7882 1.2510 0.6301 0.00519 0.00658 5 2.502 2.000 0.4628 0.7882 1.2510 0.6301 0.00519 0.00658 7 3.753 3.000 0.4628 0.7882 1.2510 0.6301 0.00519 0.00658 9 5.004 4.000 0.4628 0.7882 1.2510 0.6301 0.00519 0.00658 11 6.255 5.000 0.4628 0.7882 1.2510 0.6301 0.00519 0.00658 13 7.506 6.000 0.4628 0.7882 1.2510 0.6301 0.00519 0.00658 15 8.757 7.000 0.4628 0.7882 1.2510 0.6301 0.00519 0.00658 17 10.008 8.000 0.4628 0.7882 1.2510 0.6301 0.00519 0.00658 19 11.259 9.000 0.4628 0.7882 1.2510 0.6301 0.00519 0.00658 21 12.510 10.000 0.4628 0.7882 1.2510 0.6301 0.00519 0.00658 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.9277E-01 8 20.00 6.5833E-01 7 30.00 4.0778E-01 6 40.00 2.1916E-01 5 50.00 1.0655E-01 4 60.00 4.9191E-02 3 70.00 2.2663E-02 2 80.00 1.0956E-02 1 87.50 6.5983E-03 1 92.50 4.7217E-03 2 100.00 3.1425E-03 3 110.00 2.0196E-03 4 120.00 1.4328E-03 5 130.00 1.1193E-03 6 140.00 9.4695E-04 7 150.00 8.5041E-04 8 160.00 7.9694E-04 9 170.00 7.6999E-04 10 180.00 7.6075E-04 Asymptotic AOP values are MUu(inf) = 0.3379 MUd(inf) = 0.8284 MU(inf) = 0.8145 R(inf) = 0.0049 Lu(inf)/Ed(inf) = 0.000925 (1/sr) k(inf) = 0.5682 (1/m) absorp(check) = 0.4628 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 665.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.2198E-01 1.6282E+00 1.7502E+00 4.2551E-02 1.3852E+00 0.3488 0.8507 0.7671 3.0718E-02 1 0.00 0.00 1.4249E-02 1.4131E+00 1.4274E+00 5.8771E-03 1.3503E+00 0.4124 0.9555 0.9419 4.3524E-03 3 1.25 1.00 1.0070E-02 8.8377E-01 8.9384E-01 4.0043E-03 8.2143E-01 0.3977 0.9295 0.9145 4.8748E-03 5 2.50 2.00 6.8311E-03 5.4180E-01 5.4863E-01 2.7008E-03 4.9401E-01 0.3954 0.9118 0.8955 5.4671E-03 7 3.75 3.00 4.6280E-03 3.2813E-01 3.3276E-01 1.8417E-03 2.9458E-01 0.3980 0.8977 0.8797 6.2521E-03 9 5.00 4.00 3.1770E-03 1.9695E-01 2.0013E-01 1.2836E-03 1.7446E-01 0.4040 0.8858 0.8653 7.3577E-03 11 6.25 5.00 2.2312E-03 1.1739E-01 1.1962E-01 9.2111E-04 1.0275E-01 0.4128 0.8753 0.8513 8.9642E-03 13 7.51 6.00 1.6139E-03 6.9610E-02 7.1224E-02 6.8333E-04 6.0259E-02 0.4234 0.8657 0.8365 1.1340E-02 15 8.76 7.00 1.2066E-03 4.1147E-02 4.2354E-02 5.2441E-04 3.5238E-02 0.4346 0.8564 0.8196 1.4882E-02 17 10.01 8.00 9.3236E-04 2.4297E-02 2.5230E-02 4.1524E-04 2.0578E-02 0.4454 0.8469 0.7992 2.0179E-02 19 11.26 9.00 7.4245E-04 1.4372E-02 1.5115E-02 3.3764E-04 1.2023E-02 0.4548 0.8365 0.7731 2.8083E-02 21 12.51 10.00 6.0629E-04 8.5466E-03 9.1529E-03 2.8035E-04 7.0458E-03 0.4624 0.8244 0.7392 3.9790E-02 K-functions (units of 1/meter) at 665.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.26394 0.45064 0.44877 0.35752 0.48944 0.49001 0.41357 1.000 1.010 1.005 0.37997 0.48159 0.48044 0.39444 0.50351 0.50404 0.40618 2.000 2.010 2.005 0.39200 0.49613 0.49484 0.39063 0.51312 0.51380 0.38583 3.000 3.010 3.005 0.38480 0.50641 0.50472 0.37348 0.52070 0.52163 0.35704 4.000 4.010 4.005 0.36626 0.51429 0.51194 0.34745 0.52683 0.52817 0.32272 5.000 5.010 5.005 0.33961 0.52030 0.51692 0.31566 0.53171 0.53367 0.28633 6.000 6.010 6.005 0.30774 0.52449 0.51957 0.28149 0.53532 0.53823 0.25147 7.000 7.010 7.005 0.27419 0.52667 0.51947 0.24848 0.53751 0.54188 0.22096 8.000 8.010 8.005 0.24226 0.52642 0.51590 0.21934 0.53800 0.54458 0.19627 9.000 9.010 9.005 0.21443 0.52305 0.50787 0.19558 0.53634 0.54620 0.17755 10.000 10.010 10.005 0.19211 0.51564 0.49417 0.17748 0.53183 0.54654 0.16411 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 665.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 2.75061E-01 7.91485E-04 5.78792E-03 6.57940E-03 5.71392E-04 0.021042 9 1 10.0 0.0 180.0 1.20594E-01 7.98351E-04 2.54559E-03 3.34394E-03 5.76349E-04 0.021109 9 4 10.0 45.0 135.0 1.34818E-01 7.95372E-04 2.84669E-03 3.64206E-03 5.74198E-04 0.021115 9 7 10.0 90.0 90.0 1.88097E-01 7.90420E-04 3.97331E-03 4.76373E-03 5.70623E-04 0.021124 8 1 20.0 0.0 180.0 7.20933E-02 8.05448E-04 1.53875E-03 2.34420E-03 5.81472E-04 0.021344 8 4 20.0 45.0 135.0 8.04480E-02 8.00013E-04 1.71704E-03 2.51706E-03 5.77549E-04 0.021344 8 7 20.0 90.0 90.0 1.13056E-01 7.95457E-04 2.41306E-03 3.20852E-03 5.74259E-04 0.021344 7 1 30.0 0.0 180.0 5.07965E-02 8.22136E-04 1.13418E-03 1.95632E-03 5.93520E-04 0.022328 7 4 30.0 45.0 135.0 5.54725E-02 8.20496E-04 1.23860E-03 2.05909E-03 5.92336E-04 0.022328 7 7 30.0 90.0 90.0 7.29211E-02 8.18097E-04 1.62799E-03 2.44609E-03 5.90604E-04 0.022325 6 1 40.0 0.0 180.0 4.17277E-02 8.24025E-04 1.07062E-03 1.89465E-03 5.94884E-04 0.025657 6 4 40.0 45.0 135.0 4.46771E-02 8.21906E-04 1.14640E-03 1.96830E-03 5.93354E-04 0.025660 6 7 40.0 90.0 90.0 5.48449E-02 8.16118E-04 1.40727E-03 2.22339E-03 5.89175E-04 0.025659 5 1 50.0 0.0 180.0 3.86492E-02 8.41116E-04 1.37137E-03 2.21249E-03 6.07222E-04 0.035482 5 4 50.0 45.0 135.0 4.08204E-02 8.37699E-04 1.44924E-03 2.28693E-03 6.04755E-04 0.035503 5 7 50.0 90.0 90.0 4.77948E-02 8.41500E-04 1.69676E-03 2.53826E-03 6.07499E-04 0.035501 4 1 60.0 0.0 180.0 4.00880E-02 8.41681E-04 2.53388E-03 3.37556E-03 6.07630E-04 0.063208 4 4 60.0 45.0 135.0 4.18215E-02 8.43662E-04 2.64343E-03 3.48709E-03 6.09060E-04 0.063207 4 7 60.0 90.0 90.0 4.73171E-02 8.40183E-04 2.99041E-03 3.83059E-03 6.06548E-04 0.063199 3 1 70.0 0.0 180.0 4.80770E-02 8.07175E-04 6.80132E-03 7.60849E-03 5.82719E-04 0.141467 3 4 70.0 45.0 135.0 4.93477E-02 8.03152E-04 6.97235E-03 7.77550E-03 5.79815E-04 0.141290 3 7 70.0 90.0 90.0 5.38179E-02 8.06095E-04 7.61169E-03 8.41778E-03 5.81939E-04 0.141434 2 1 80.0 0.0 180.0 7.16945E-02 6.00143E-04 2.63538E-02 2.69539E-02 4.33258E-04 0.367584 2 4 80.0 45.0 135.0 7.20404E-02 6.00880E-04 2.64633E-02 2.70642E-02 4.33790E-04 0.367340 2 7 80.0 90.0 90.0 7.49031E-02 6.07485E-04 2.75353E-02 2.81428E-02 4.38558E-04 0.367613 1 1 87.5 0.0 180.0 1.08081E-01 2.72169E-04 8.35584E-02 8.38306E-02 1.96485E-04 0.773106 1 4 87.5 45.0 135.0 1.06787E-01 2.82241E-04 8.25617E-02 8.28439E-02 2.03757E-04 0.773143 1 7 87.5 90.0 90.0 1.06589E-01 2.82387E-04 8.23472E-02 8.26296E-02 2.03862E-04 0.772570 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 665.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 6.579E-03 2.751E-01 9.596E-02 9.461E-02 1.010E-01 4.750E-03 6.467E+00 7.915E-04 5.714E-04 1 0.00 0.00 1.455E-03 5.062E+00 3.097E-03 3.620E-03 4.704E-03 1.078E-03 4.038E+00 3 1.25 1.00 9.646E-04 2.871E+00 2.620E-03 3.212E-03 4.370E-03 1.174E-03 4.151E+00 5 2.50 2.00 6.487E-04 1.571E+00 1.825E-03 2.252E-03 3.075E-03 1.313E-03 4.163E+00 7 3.75 3.00 4.472E-04 8.447E-01 1.235E-03 1.518E-03 2.062E-03 1.518E-03 4.119E+00 9 5.00 4.00 3.182E-04 4.510E-01 8.331E-04 1.014E-03 1.357E-03 1.824E-03 4.034E+00 11 6.25 5.00 2.346E-04 2.405E-01 5.685E-04 6.808E-04 8.898E-04 2.284E-03 3.926E+00 13 7.51 6.00 1.794E-04 1.285E-01 3.956E-04 4.635E-04 5.874E-04 2.976E-03 3.810E+00 15 8.76 7.00 1.417E-04 6.903E-02 2.826E-04 3.229E-04 3.947E-04 4.021E-03 3.701E+00 17 10.01 8.00 1.151E-04 3.729E-02 2.081E-04 2.316E-04 2.724E-04 5.592E-03 3.609E+00 19 11.26 9.00 9.550E-05 2.027E-02 1.582E-04 1.717E-04 1.945E-04 7.943E-03 3.535E+00 21 12.51 10.00 8.054E-05 1.110E-02 1.239E-04 1.316E-04 1.442E-04 1.143E-02 3.481E+00 Waveband 32 of 40 completed in 5.3 sec. * * * * * Output for wavelength band 33 (670.0 to 680.0 nm; nominal wavelength = 675.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 25.7 m at 675.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 670.0 nm to 680.0 nm: Ed(diffuse) = 2.498E-01 Ed(direct) = 1.109E+00 Ed(total) = 1.359E+00 Absorption Coefficients of Individual Components at 675.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.4480 0.0406 0.0000 0.0007 0.4893 3 1.277 1.000 0.4480 0.0406 0.0000 0.0007 0.4893 5 2.555 2.000 0.4480 0.0406 0.0000 0.0007 0.4893 7 3.832 3.000 0.4480 0.0406 0.0000 0.0007 0.4893 9 5.110 4.000 0.4480 0.0406 0.0000 0.0007 0.4893 11 6.387 5.000 0.4480 0.0406 0.0000 0.0007 0.4893 13 7.665 6.000 0.4480 0.0406 0.0000 0.0007 0.4893 15 8.942 7.000 0.4480 0.0406 0.0000 0.0007 0.4893 17 10.219 8.000 0.4480 0.0406 0.0000 0.0007 0.4893 19 11.497 9.000 0.4480 0.0406 0.0000 0.0007 0.4893 21 12.774 10.000 0.4480 0.0406 0.0000 0.0007 0.4893 Scattering Coefficients of Individual Components at 675.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0008 0.2757 0.5116 0.0000 0.7882 3 1.277 1.000 0.0008 0.2757 0.5116 0.0000 0.7882 5 2.555 2.000 0.0008 0.2757 0.5116 0.0000 0.7882 7 3.832 3.000 0.0008 0.2757 0.5116 0.0000 0.7882 9 5.110 4.000 0.0008 0.2757 0.5116 0.0000 0.7882 11 6.387 5.000 0.0008 0.2757 0.5116 0.0000 0.7882 13 7.665 6.000 0.0008 0.2757 0.5116 0.0000 0.7882 15 8.942 7.000 0.0008 0.2757 0.5116 0.0000 0.7882 17 10.219 8.000 0.0008 0.2757 0.5116 0.0000 0.7882 19 11.497 9.000 0.0008 0.2757 0.5116 0.0000 0.7882 21 12.774 10.000 0.0008 0.2757 0.5116 0.0000 0.7882 Backscattering Coefficients of Individual Components at 675.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00040 0.00387 0.00090 0.00000 0.00516 3 1.277 1.000 0.00040 0.00387 0.00090 0.00000 0.00516 5 2.555 2.000 0.00040 0.00387 0.00090 0.00000 0.00516 7 3.832 3.000 0.00040 0.00387 0.00090 0.00000 0.00516 9 5.110 4.000 0.00040 0.00387 0.00090 0.00000 0.00516 11 6.387 5.000 0.00040 0.00387 0.00090 0.00000 0.00516 13 7.665 6.000 0.00040 0.00387 0.00090 0.00000 0.00516 15 8.942 7.000 0.00040 0.00387 0.00090 0.00000 0.00516 17 10.219 8.000 0.00040 0.00387 0.00090 0.00000 0.00516 19 11.497 9.000 0.00040 0.00387 0.00090 0.00000 0.00516 21 12.774 10.000 0.00040 0.00387 0.00090 0.00000 0.00516 Summary of Inherent Optical Properties at 675.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.4893 0.7882 1.2774 0.6170 0.00516 0.00655 3 1.277 1.000 0.4893 0.7882 1.2774 0.6170 0.00516 0.00655 5 2.555 2.000 0.4893 0.7882 1.2774 0.6170 0.00516 0.00655 7 3.832 3.000 0.4893 0.7882 1.2774 0.6170 0.00516 0.00655 9 5.110 4.000 0.4893 0.7882 1.2774 0.6170 0.00516 0.00655 11 6.387 5.000 0.4893 0.7882 1.2774 0.6170 0.00516 0.00655 13 7.665 6.000 0.4893 0.7882 1.2774 0.6170 0.00516 0.00655 15 8.942 7.000 0.4893 0.7882 1.2774 0.6170 0.00516 0.00655 17 10.219 8.000 0.4893 0.7882 1.2774 0.6170 0.00516 0.00655 19 11.497 9.000 0.4893 0.7882 1.2774 0.6170 0.00516 0.00655 21 12.774 10.000 0.4893 0.7882 1.2774 0.6170 0.00516 0.00655 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.8938E-01 8 20.00 6.4930E-01 7 30.00 3.9624E-01 6 40.00 2.0921E-01 5 50.00 9.9873E-02 4 60.00 4.5358E-02 3 70.00 2.0636E-02 2 80.00 9.8966E-03 1 87.50 5.9418E-03 1 92.50 4.2513E-03 2 100.00 2.8300E-03 3 110.00 1.8208E-03 4 120.00 1.2947E-03 5 130.00 1.0142E-03 6 140.00 8.6006E-04 7 150.00 7.7383E-04 8 160.00 7.2611E-04 9 170.00 7.0207E-04 10 180.00 6.9384E-04 Asymptotic AOP values are MUu(inf) = 0.3388 MUd(inf) = 0.8326 MU(inf) = 0.8197 R(inf) = 0.0046 Lu(inf)/Ed(inf) = 0.000866 (1/sr) k(inf) = 0.5969 (1/m) absorp(check) = 0.4893 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 675.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.1985E-01 1.5935E+00 1.7133E+00 4.2579E-02 1.3592E+00 0.3553 0.8530 0.7685 3.1327E-02 1 0.00 0.00 1.8123E-02 1.3891E+00 1.4072E+00 7.8149E-03 1.3262E+00 0.4312 0.9547 0.9369 5.8927E-03 3 1.28 1.00 1.3406E-02 8.4684E-01 8.6024E-01 5.6953E-03 7.8593E-01 0.4248 0.9281 0.9070 7.2465E-03 5 2.55 2.00 9.7977E-03 5.0633E-01 5.1613E-01 4.2049E-03 4.6056E-01 0.4292 0.9096 0.8842 9.1299E-03 7 3.83 3.00 7.3047E-03 2.9949E-01 3.0680E-01 3.1909E-03 2.6780E-01 0.4368 0.8942 0.8625 1.1915E-02 9 5.11 4.00 5.6009E-03 1.7598E-01 1.8158E-01 2.4956E-03 1.5486E-01 0.4456 0.8800 0.8391 1.6115E-02 11 6.39 5.00 4.4215E-03 1.0306E-01 1.0748E-01 2.0077E-03 8.9259E-02 0.4541 0.8661 0.8118 2.2493E-02 13 7.66 6.00 3.5842E-03 6.0408E-02 6.3992E-02 1.6539E-03 5.1421E-02 0.4615 0.8512 0.7777 3.2164E-02 15 8.94 7.00 2.9696E-03 3.5604E-02 3.8573E-02 1.3879E-03 2.9706E-02 0.4674 0.8344 0.7341 4.6720E-02 17 10.22 8.00 2.5018E-03 2.1233E-02 2.3735E-02 1.1804E-03 1.7287E-02 0.4718 0.8142 0.6786 6.8279E-02 19 11.50 9.00 2.1332E-03 1.2914E-02 1.5047E-02 1.0132E-03 1.0195E-02 0.4750 0.7894 0.6102 9.9386E-02 21 12.77 10.00 1.8338E-03 8.0820E-03 9.9159E-03 8.7496E-04 6.1389E-03 0.4771 0.7596 0.5309 1.4253E-01 K-functions (units of 1/meter) at 675.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.24426 0.47577 0.47279 0.30626 0.51547 0.51671 0.33355 1.000 1.010 1.005 0.31814 0.50704 0.50409 0.31460 0.52964 0.53121 0.30652 2.000 2.010 2.005 0.30621 0.52057 0.51650 0.29097 0.53878 0.54106 0.27299 3.000 3.010 3.005 0.28060 0.52902 0.52310 0.26106 0.54533 0.54877 0.23998 4.000 4.010 4.005 0.25113 0.53392 0.52519 0.23128 0.54970 0.55492 0.21103 5.000 5.010 5.005 0.22287 0.53525 0.52238 0.20506 0.55168 0.55967 0.18780 6.000 6.010 6.005 0.19852 0.53230 0.51358 0.18396 0.55071 0.56292 0.17043 7.000 7.010 7.005 0.17925 0.52385 0.49728 0.16814 0.54585 0.56440 0.15819 8.000 8.010 8.005 0.16501 0.50837 0.47212 0.15696 0.53580 0.56362 0.15001 9.000 9.010 9.005 0.15507 0.48435 0.43760 0.14947 0.51896 0.55982 0.14481 10.000 10.010 10.005 0.14857 0.45094 0.39495 0.14476 0.49371 0.55183 0.14171 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 675.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 2.64530E-01 1.11539E-03 5.56632E-03 6.68171E-03 8.20628E-04 0.021042 9 1 10.0 0.0 180.0 1.15977E-01 1.12191E-03 2.44811E-03 3.57002E-03 8.25420E-04 0.021109 9 4 10.0 45.0 135.0 1.29658E-01 1.11890E-03 2.73774E-03 3.85663E-03 8.23205E-04 0.021115 9 7 10.0 90.0 90.0 1.80885E-01 1.11327E-03 3.82099E-03 4.93425E-03 8.19063E-04 0.021124 8 1 20.0 0.0 180.0 6.93332E-02 1.12996E-03 1.47984E-03 2.60980E-03 8.31348E-04 0.021344 8 4 20.0 45.0 135.0 7.73680E-02 1.12361E-03 1.65131E-03 2.77491E-03 8.26671E-04 0.021344 8 7 20.0 90.0 90.0 1.08727E-01 1.11906E-03 2.32067E-03 3.43973E-03 8.23325E-04 0.021344 7 1 30.0 0.0 180.0 4.88517E-02 1.15162E-03 1.09076E-03 2.24238E-03 8.47282E-04 0.022328 7 4 30.0 45.0 135.0 5.33487E-02 1.15057E-03 1.19118E-03 2.34175E-03 8.46511E-04 0.022328 7 7 30.0 90.0 90.0 7.01292E-02 1.14941E-03 1.56567E-03 2.71508E-03 8.45658E-04 0.022325 6 1 40.0 0.0 180.0 4.01301E-02 1.14904E-03 1.02963E-03 2.17867E-03 8.45384E-04 0.025657 6 4 40.0 45.0 135.0 4.29666E-02 1.14730E-03 1.10251E-03 2.24981E-03 8.44102E-04 0.025660 6 7 40.0 90.0 90.0 5.27451E-02 1.14112E-03 1.35340E-03 2.49452E-03 8.39558E-04 0.025659 5 1 50.0 0.0 180.0 3.71695E-02 1.16844E-03 1.31886E-03 2.48731E-03 8.59657E-04 0.035482 5 4 50.0 45.0 135.0 3.92575E-02 1.16467E-03 1.39375E-03 2.55842E-03 8.56884E-04 0.035503 5 7 50.0 90.0 90.0 4.59649E-02 1.17072E-03 1.63180E-03 2.80252E-03 8.61331E-04 0.035501 4 1 60.0 0.0 180.0 3.85532E-02 1.16395E-03 2.43687E-03 3.60082E-03 8.56354E-04 0.063208 4 4 60.0 45.0 135.0 4.02203E-02 1.16735E-03 2.54222E-03 3.70957E-03 8.58854E-04 0.063207 4 7 60.0 90.0 90.0 4.55055E-02 1.16199E-03 2.87592E-03 4.03791E-03 8.54913E-04 0.063199 3 1 70.0 0.0 180.0 4.62363E-02 1.11168E-03 6.54092E-03 7.65260E-03 8.17893E-04 0.141467 3 4 70.0 45.0 135.0 4.74584E-02 1.10632E-03 6.70540E-03 7.81172E-03 8.13951E-04 0.141290 3 7 70.0 90.0 90.0 5.17574E-02 1.10853E-03 7.32027E-03 8.42880E-03 8.15577E-04 0.141434 2 1 80.0 0.0 180.0 6.89496E-02 8.17982E-04 2.53448E-02 2.61628E-02 6.01814E-04 0.367584 2 4 80.0 45.0 135.0 6.92823E-02 8.18325E-04 2.54501E-02 2.62685E-02 6.02066E-04 0.367340 2 7 80.0 90.0 90.0 7.20353E-02 8.23693E-04 2.64811E-02 2.73048E-02 6.06015E-04 0.367613 1 1 87.5 0.0 180.0 1.03943E-01 3.70961E-04 8.03593E-02 8.07303E-02 2.72927E-04 0.773106 1 4 87.5 45.0 135.0 1.02699E-01 3.84378E-04 7.94007E-02 7.97851E-02 2.82798E-04 0.773143 1 7 87.5 90.0 90.0 1.02508E-01 3.82891E-04 7.91944E-02 7.95773E-02 2.81704E-04 0.772570 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 675.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 6.682E-03 2.645E-01 9.234E-02 9.104E-02 9.715E-02 4.916E-03 6.372E+00 1.115E-03 8.206E-04 1 0.00 0.00 2.051E-03 4.978E+00 3.738E-03 4.227E-03 5.243E-03 1.547E-03 3.810E+00 3 1.28 1.00 1.488E-03 2.751E+00 3.138E-03 3.676E-03 4.730E-03 1.893E-03 3.827E+00 5 2.55 2.00 1.114E-03 1.466E+00 2.280E-03 2.654E-03 3.379E-03 2.418E-03 3.776E+00 7 3.83 3.00 8.620E-04 7.676E-01 1.651E-03 1.892E-03 2.356E-03 3.219E-03 3.702E+00 9 5.11 4.00 6.884E-04 3.992E-01 1.219E-03 1.368E-03 1.651E-03 4.445E-03 3.625E+00 11 6.39 5.00 5.643E-04 2.074E-01 9.252E-04 1.015E-03 1.182E-03 6.322E-03 3.558E+00 13 7.66 6.00 4.720E-04 1.081E-01 7.232E-04 7.758E-04 8.716E-04 9.179E-03 3.504E+00 15 8.94 7.00 4.007E-04 5.669E-02 5.808E-04 6.110E-04 6.648E-04 1.349E-02 3.464E+00 17 10.22 8.00 3.436E-04 2.996E-02 4.773E-04 4.944E-04 5.240E-04 1.988E-02 3.435E+00 19 11.50 9.00 2.966E-04 1.600E-02 3.994E-04 4.089E-04 4.249E-04 2.910E-02 3.416E+00 21 12.77 10.00 2.571E-04 8.653E-03 3.387E-04 3.439E-04 3.525E-04 4.188E-02 3.403E+00 Waveband 33 of 40 completed in 5.2 sec. * * * * * Output for wavelength band 34 (680.0 to 690.0 nm; nominal wavelength = 685.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 25.4 m at 685.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 680.0 nm to 690.0 nm: Ed(diffuse) = 2.255E-01 Ed(direct) = 1.026E+00 Ed(total) = 1.251E+00 Absorption Coefficients of Individual Components at 685.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.4860 0.0279 0.0000 0.0006 0.5145 3 1.303 1.000 0.4860 0.0279 0.0000 0.0006 0.5145 5 2.605 2.000 0.4860 0.0279 0.0000 0.0006 0.5145 7 3.908 3.000 0.4860 0.0279 0.0000 0.0006 0.5145 9 5.211 4.000 0.4860 0.0279 0.0000 0.0006 0.5145 11 6.513 5.000 0.4860 0.0279 0.0000 0.0006 0.5145 13 7.816 6.000 0.4860 0.0279 0.0000 0.0006 0.5145 15 9.118 7.000 0.4860 0.0279 0.0000 0.0006 0.5145 17 10.421 8.000 0.4860 0.0279 0.0000 0.0006 0.5145 19 11.724 9.000 0.4860 0.0279 0.0000 0.0006 0.5145 21 13.026 10.000 0.4860 0.0279 0.0000 0.0006 0.5145 Scattering Coefficients of Individual Components at 685.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0007 0.2757 0.5116 0.0000 0.7881 3 1.303 1.000 0.0007 0.2757 0.5116 0.0000 0.7881 5 2.605 2.000 0.0007 0.2757 0.5116 0.0000 0.7881 7 3.908 3.000 0.0007 0.2757 0.5116 0.0000 0.7881 9 5.211 4.000 0.0007 0.2757 0.5116 0.0000 0.7881 11 6.513 5.000 0.0007 0.2757 0.5116 0.0000 0.7881 13 7.816 6.000 0.0007 0.2757 0.5116 0.0000 0.7881 15 9.118 7.000 0.0007 0.2757 0.5116 0.0000 0.7881 17 10.421 8.000 0.0007 0.2757 0.5116 0.0000 0.7881 19 11.724 9.000 0.0007 0.2757 0.5116 0.0000 0.7881 21 13.026 10.000 0.0007 0.2757 0.5116 0.0000 0.7881 Backscattering Coefficients of Individual Components at 685.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00037 0.00387 0.00090 0.00000 0.00514 3 1.303 1.000 0.00037 0.00387 0.00090 0.00000 0.00514 5 2.605 2.000 0.00037 0.00387 0.00090 0.00000 0.00514 7 3.908 3.000 0.00037 0.00387 0.00090 0.00000 0.00514 9 5.211 4.000 0.00037 0.00387 0.00090 0.00000 0.00514 11 6.513 5.000 0.00037 0.00387 0.00090 0.00000 0.00514 13 7.816 6.000 0.00037 0.00387 0.00090 0.00000 0.00514 15 9.118 7.000 0.00037 0.00387 0.00090 0.00000 0.00514 17 10.421 8.000 0.00037 0.00387 0.00090 0.00000 0.00514 19 11.724 9.000 0.00037 0.00387 0.00090 0.00000 0.00514 21 13.026 10.000 0.00037 0.00387 0.00090 0.00000 0.00514 Summary of Inherent Optical Properties at 685.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.5145 0.7881 1.3026 0.6050 0.00514 0.00652 3 1.303 1.000 0.5145 0.7881 1.3026 0.6050 0.00514 0.00652 5 2.605 2.000 0.5145 0.7881 1.3026 0.6050 0.00514 0.00652 7 3.908 3.000 0.5145 0.7881 1.3026 0.6050 0.00514 0.00652 9 5.211 4.000 0.5145 0.7881 1.3026 0.6050 0.00514 0.00652 11 6.513 5.000 0.5145 0.7881 1.3026 0.6050 0.00514 0.00652 13 7.816 6.000 0.5145 0.7881 1.3026 0.6050 0.00514 0.00652 15 9.118 7.000 0.5145 0.7881 1.3026 0.6050 0.00514 0.00652 17 10.421 8.000 0.5145 0.7881 1.3026 0.6050 0.00514 0.00652 19 11.724 9.000 0.5145 0.7881 1.3026 0.6050 0.00514 0.00652 21 13.026 10.000 0.5145 0.7881 1.3026 0.6050 0.00514 0.00652 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.8622E-01 8 20.00 6.4096E-01 7 30.00 3.8576E-01 6 40.00 2.0035E-01 5 50.00 9.4058E-02 4 60.00 4.2088E-02 3 70.00 1.8937E-02 2 80.00 9.0195E-03 1 87.50 5.4016E-03 1 92.50 3.8649E-03 2 100.00 2.5738E-03 3 110.00 1.6578E-03 4 120.00 1.1813E-03 5 130.00 9.2749E-04 6 140.00 7.8824E-04 7 150.00 7.1038E-04 8 160.00 6.6732E-04 9 170.00 6.4564E-04 10 180.00 6.3821E-04 Asymptotic AOP values are MUu(inf) = 0.3397 MUd(inf) = 0.8364 MU(inf) = 0.8242 R(inf) = 0.0043 Lu(inf)/Ed(inf) = 0.000815 (1/sr) k(inf) = 0.6243 (1/m) absorp(check) = 0.5145 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 685.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.0889E-01 1.4630E+00 1.5719E+00 3.9044E-02 1.2511E+00 0.3586 0.8551 0.7711 3.1208E-02 1 0.00 0.00 1.6669E-02 1.2782E+00 1.2949E+00 7.2270E-03 1.2209E+00 0.4336 0.9551 0.9373 5.9195E-03 3 1.30 1.00 1.2223E-02 7.5913E-01 7.7135E-01 5.2406E-03 7.0496E-01 0.4288 0.9286 0.9071 7.4340E-03 5 2.61 2.00 8.9162E-03 4.4214E-01 4.5106E-01 3.8723E-03 4.0244E-01 0.4343 0.9102 0.8836 9.6220E-03 7 3.91 3.00 6.6726E-03 2.5485E-01 2.6152E-01 2.9539E-03 2.2798E-01 0.4427 0.8946 0.8605 1.2956E-02 9 5.21 4.00 5.1567E-03 1.4604E-01 1.5120E-01 2.3289E-03 1.2850E-01 0.4516 0.8799 0.8345 1.8124E-02 11 6.51 5.00 4.1117E-03 8.3542E-02 8.7654E-02 1.8906E-03 7.2252E-02 0.4598 0.8649 0.8027 2.6166E-02 13 7.82 6.00 3.3672E-03 4.7943E-02 5.1311E-02 1.5708E-03 4.0666E-02 0.4665 0.8482 0.7619 3.8628E-02 15 9.12 7.00 2.8157E-03 2.7778E-02 3.0594E-02 1.3279E-03 2.3012E-02 0.4716 0.8284 0.7088 5.7703E-02 17 10.42 8.00 2.3904E-03 1.6383E-02 1.8774E-02 1.1360E-03 1.3173E-02 0.4752 0.8040 0.6412 8.6235E-02 19 11.72 9.00 2.0504E-03 9.9366E-03 1.1987E-02 9.7944E-04 7.6902E-03 0.4777 0.7739 0.5598 1.2736E-01 21 13.03 10.00 1.7704E-03 6.2658E-03 8.0362E-03 8.4854E-04 4.6247E-03 0.4793 0.7381 0.4699 1.8348E-01 K-functions (units of 1/meter) at 685.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.25619 0.50141 0.49825 0.31426 0.54122 0.54258 0.33739 1.000 1.010 1.005 0.32341 0.53332 0.52999 0.31662 0.55577 0.55756 0.30539 2.000 2.010 2.005 0.30497 0.54666 0.54188 0.28761 0.56493 0.56763 0.26792 3.000 3.010 3.005 0.27446 0.55456 0.54740 0.25410 0.57126 0.57543 0.23275 4.000 4.010 4.005 0.24193 0.55838 0.54757 0.22250 0.57504 0.58156 0.20322 5.000 5.010 5.005 0.21256 0.55780 0.54158 0.19613 0.57588 0.58610 0.18056 6.000 6.010 6.005 0.18869 0.55168 0.52782 0.17595 0.57289 0.58888 0.16436 7.000 7.010 7.005 0.17080 0.53829 0.50441 0.16154 0.56470 0.58944 0.15343 8.000 8.010 8.005 0.15825 0.51562 0.47004 0.15185 0.54945 0.58705 0.14644 9.000 9.010 9.005 0.14996 0.48214 0.42524 0.14570 0.52503 0.58052 0.14224 10.000 10.010 10.005 0.14485 0.43791 0.37327 0.14207 0.48983 0.56814 0.13992 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 685.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 2.38819E-01 1.03973E-03 5.02529E-03 6.06502E-03 8.31070E-04 0.021042 9 1 10.0 0.0 180.0 1.04704E-01 1.04544E-03 2.21015E-03 3.25558E-03 8.35637E-04 0.021108 9 4 10.0 45.0 135.0 1.17058E-01 1.04273E-03 2.47167E-03 3.51440E-03 8.33473E-04 0.021115 9 7 10.0 90.0 90.0 1.63294E-01 1.03762E-03 3.44943E-03 4.48705E-03 8.29389E-04 0.021124 8 1 20.0 0.0 180.0 6.25942E-02 1.05266E-03 1.33601E-03 2.38866E-03 8.41407E-04 0.021344 8 4 20.0 45.0 135.0 6.98481E-02 1.04685E-03 1.49080E-03 2.53766E-03 8.36767E-04 0.021344 8 7 20.0 90.0 90.0 9.81593E-02 1.04280E-03 2.09511E-03 3.13791E-03 8.33528E-04 0.021344 7 1 30.0 0.0 180.0 4.41035E-02 1.07255E-03 9.84743E-04 2.05730E-03 8.57311E-04 0.022328 7 4 30.0 45.0 135.0 4.81634E-02 1.07170E-03 1.07540E-03 2.14710E-03 8.56631E-04 0.022328 7 7 30.0 90.0 90.0 6.33129E-02 1.07084E-03 1.41349E-03 2.48433E-03 8.55938E-04 0.022325 6 1 40.0 0.0 180.0 3.62296E-02 1.06938E-03 9.29556E-04 1.99893E-03 8.54772E-04 0.025657 6 4 40.0 45.0 135.0 3.87904E-02 1.06787E-03 9.95348E-04 2.06322E-03 8.53568E-04 0.025660 6 7 40.0 90.0 90.0 4.76185E-02 1.06227E-03 1.22185E-03 2.28412E-03 8.49092E-04 0.025659 5 1 50.0 0.0 180.0 3.35568E-02 1.08681E-03 1.19068E-03 2.27748E-03 8.68703E-04 0.035482 5 4 50.0 45.0 135.0 3.54418E-02 1.08338E-03 1.25828E-03 2.34167E-03 8.65968E-04 0.035503 5 7 50.0 90.0 90.0 4.14973E-02 1.08901E-03 1.47320E-03 2.56220E-03 8.70462E-04 0.035501 4 1 60.0 0.0 180.0 3.48060E-02 1.08188E-03 2.20002E-03 3.28190E-03 8.64769E-04 0.063208 4 4 60.0 45.0 135.0 3.63110E-02 1.08508E-03 2.29513E-03 3.38021E-03 8.67323E-04 0.063207 4 7 60.0 90.0 90.0 4.10825E-02 1.07994E-03 2.59639E-03 3.67633E-03 8.63213E-04 0.063199 3 1 70.0 0.0 180.0 4.17423E-02 1.03269E-03 5.90517E-03 6.93786E-03 8.25448E-04 0.141467 3 4 70.0 45.0 135.0 4.28456E-02 1.02770E-03 6.05366E-03 7.08136E-03 8.21455E-04 0.141290 3 7 70.0 90.0 90.0 4.67268E-02 1.02943E-03 6.60876E-03 7.63819E-03 8.22837E-04 0.141434 2 1 80.0 0.0 180.0 6.22479E-02 7.58726E-04 2.28814E-02 2.36401E-02 6.06463E-04 0.367584 2 4 80.0 45.0 135.0 6.25483E-02 7.58934E-04 2.29765E-02 2.37354E-02 6.06629E-04 0.367340 2 7 80.0 90.0 90.0 6.50338E-02 7.63381E-04 2.39073E-02 2.46706E-02 6.10183E-04 0.367613 1 1 87.5 0.0 180.0 9.38405E-02 3.44088E-04 7.25487E-02 7.28928E-02 2.75035E-04 0.773106 1 4 87.5 45.0 135.0 9.27167E-02 3.56481E-04 7.16832E-02 7.20397E-02 2.84941E-04 0.773143 1 7 87.5 90.0 90.0 9.25444E-02 3.54855E-04 7.14970E-02 7.18519E-02 2.83642E-04 0.772570 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 685.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 6.065E-03 2.388E-01 8.337E-02 8.220E-02 8.771E-02 4.848E-03 6.437E+00 1.040E-03 8.311E-04 1 0.00 0.00 1.912E-03 4.593E+00 3.420E-03 3.851E-03 4.748E-03 1.566E-03 3.780E+00 3 1.30 1.00 1.385E-03 2.475E+00 2.820E-03 3.280E-03 4.186E-03 1.965E-03 3.783E+00 5 2.61 2.00 1.040E-03 1.286E+00 2.030E-03 2.341E-03 2.944E-03 2.585E-03 3.723E+00 7 3.91 3.00 8.101E-04 6.563E-01 1.468E-03 1.662E-03 2.036E-03 3.553E-03 3.646E+00 9 5.21 4.00 6.519E-04 3.327E-01 1.089E-03 1.206E-03 1.427E-03 5.073E-03 3.573E+00 11 6.51 5.00 5.384E-04 1.685E-01 8.348E-04 9.028E-04 1.030E-03 7.452E-03 3.511E+00 13 7.82 6.00 4.534E-04 8.567E-02 6.604E-04 6.991E-04 7.696E-04 1.115E-02 3.464E+00 15 9.12 7.00 3.870E-04 4.382E-02 5.370E-04 5.586E-04 5.970E-04 1.682E-02 3.431E+00 17 10.42 8.00 3.333E-04 2.262E-02 4.463E-04 4.581E-04 4.787E-04 2.530E-02 3.408E+00 19 11.72 9.00 2.886E-04 1.182E-02 3.770E-04 3.834E-04 3.942E-04 3.753E-02 3.394E+00 21 13.03 10.00 2.507E-04 6.270E-03 3.222E-04 3.256E-04 3.312E-04 5.421E-02 3.385E+00 Waveband 34 of 40 completed in 5.2 sec. * * * * * Output for wavelength band 35 (690.0 to 700.0 nm; nominal wavelength = 695.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 24.7 m at 695.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 690.0 nm to 700.0 nm: Ed(diffuse) = 2.136E-01 Ed(direct) = 9.950E-01 Ed(total) = 1.209E+00 Absorption Coefficients of Individual Components at 695.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.5590 0.0126 0.0000 0.0005 0.5721 3 1.360 1.000 0.5590 0.0126 0.0000 0.0005 0.5721 5 2.720 2.000 0.5590 0.0126 0.0000 0.0005 0.5721 7 4.081 3.000 0.5590 0.0126 0.0000 0.0005 0.5721 9 5.441 4.000 0.5590 0.0126 0.0000 0.0005 0.5721 11 6.801 5.000 0.5590 0.0126 0.0000 0.0005 0.5721 13 8.161 6.000 0.5590 0.0126 0.0000 0.0005 0.5721 15 9.521 7.000 0.5590 0.0126 0.0000 0.0005 0.5721 17 10.881 8.000 0.5590 0.0126 0.0000 0.0005 0.5721 19 12.242 9.000 0.5590 0.0126 0.0000 0.0005 0.5721 21 13.602 10.000 0.5590 0.0126 0.0000 0.0005 0.5721 Scattering Coefficients of Individual Components at 695.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0007 0.2757 0.5116 0.0000 0.7881 3 1.360 1.000 0.0007 0.2757 0.5116 0.0000 0.7881 5 2.720 2.000 0.0007 0.2757 0.5116 0.0000 0.7881 7 4.081 3.000 0.0007 0.2757 0.5116 0.0000 0.7881 9 5.441 4.000 0.0007 0.2757 0.5116 0.0000 0.7881 11 6.801 5.000 0.0007 0.2757 0.5116 0.0000 0.7881 13 8.161 6.000 0.0007 0.2757 0.5116 0.0000 0.7881 15 9.521 7.000 0.0007 0.2757 0.5116 0.0000 0.7881 17 10.881 8.000 0.0007 0.2757 0.5116 0.0000 0.7881 19 12.242 9.000 0.0007 0.2757 0.5116 0.0000 0.7881 21 13.602 10.000 0.0007 0.2757 0.5116 0.0000 0.7881 Backscattering Coefficients of Individual Components at 695.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00035 0.00387 0.00090 0.00000 0.00511 3 1.360 1.000 0.00035 0.00387 0.00090 0.00000 0.00511 5 2.720 2.000 0.00035 0.00387 0.00090 0.00000 0.00511 7 4.081 3.000 0.00035 0.00387 0.00090 0.00000 0.00511 9 5.441 4.000 0.00035 0.00387 0.00090 0.00000 0.00511 11 6.801 5.000 0.00035 0.00387 0.00090 0.00000 0.00511 13 8.161 6.000 0.00035 0.00387 0.00090 0.00000 0.00511 15 9.521 7.000 0.00035 0.00387 0.00090 0.00000 0.00511 17 10.881 8.000 0.00035 0.00387 0.00090 0.00000 0.00511 19 12.242 9.000 0.00035 0.00387 0.00090 0.00000 0.00511 21 13.602 10.000 0.00035 0.00387 0.00090 0.00000 0.00511 Summary of Inherent Optical Properties at 695.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.5721 0.7881 1.3602 0.5794 0.00511 0.00649 3 1.360 1.000 0.5721 0.7881 1.3602 0.5794 0.00511 0.00649 5 2.720 2.000 0.5721 0.7881 1.3602 0.5794 0.00511 0.00649 7 4.081 3.000 0.5721 0.7881 1.3602 0.5794 0.00511 0.00649 9 5.441 4.000 0.5721 0.7881 1.3602 0.5794 0.00511 0.00649 11 6.801 5.000 0.5721 0.7881 1.3602 0.5794 0.00511 0.00649 13 8.161 6.000 0.5721 0.7881 1.3602 0.5794 0.00511 0.00649 15 9.521 7.000 0.5721 0.7881 1.3602 0.5794 0.00511 0.00649 17 10.881 8.000 0.5721 0.7881 1.3602 0.5794 0.00511 0.00649 19 12.242 9.000 0.5721 0.7881 1.3602 0.5794 0.00511 0.00649 21 13.602 10.000 0.5721 0.7881 1.3602 0.5794 0.00511 0.00649 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.7925E-01 8 20.00 6.2288E-01 7 30.00 3.6362E-01 6 40.00 1.8222E-01 5 50.00 8.2526E-02 4 60.00 3.5800E-02 3 70.00 1.5751E-02 2 80.00 7.4073E-03 1 87.50 4.4187E-03 1 92.50 3.1648E-03 2 100.00 2.1115E-03 3 110.00 1.3650E-03 4 120.00 9.7801E-04 5 130.00 7.7245E-04 6 140.00 6.5987E-04 7 150.00 5.9703E-04 8 160.00 5.6232E-04 9 170.00 5.4488E-04 10 180.00 5.3890E-04 Asymptotic AOP values are MUu(inf) = 0.3420 MUd(inf) = 0.8442 MU(inf) = 0.8334 R(inf) = 0.0037 Lu(inf)/Ed(inf) = 0.000724 (1/sr) k(inf) = 0.6865 (1/m) absorp(check) = 0.5721 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 695.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.0146E-01 1.4097E+00 1.5112E+00 3.6280E-02 1.2085E+00 0.3576 0.8573 0.7757 3.0020E-02 1 0.00 0.00 1.0522E-02 1.2304E+00 1.2409E+00 4.3697E-03 1.1782E+00 0.4153 0.9576 0.9460 3.7087E-03 3 1.36 1.00 6.8552E-03 6.8572E-01 6.9257E-01 2.7800E-03 6.3962E-01 0.4055 0.9328 0.9195 4.3463E-03 5 2.72 2.00 4.3832E-03 3.7420E-01 3.7858E-01 1.7941E-03 3.4286E-01 0.4093 0.9163 0.9009 5.2327E-03 7 4.08 3.00 2.8822E-03 2.0173E-01 2.0461E-01 1.2063E-03 1.8213E-01 0.4185 0.9029 0.8843 6.6230E-03 9 5.44 4.00 1.9830E-03 1.0785E-01 1.0983E-01 8.5434E-04 9.6095E-02 0.4308 0.8910 0.8672 8.8907E-03 11 6.80 5.00 1.4380E-03 5.7360E-02 5.8798E-02 6.3845E-04 5.0460E-02 0.4440 0.8797 0.8473 1.2653E-02 13 8.16 6.00 1.0974E-03 3.0459E-02 3.1557E-02 5.0042E-04 2.6435E-02 0.4560 0.8679 0.8218 1.8930E-02 15 9.52 7.00 8.7457E-04 1.6227E-02 1.7102E-02 4.0722E-04 1.3862E-02 0.4656 0.8542 0.7868 2.9377E-02 17 10.88 8.00 7.2018E-04 8.7327E-03 9.4529E-03 3.4036E-04 7.3096E-03 0.4726 0.8370 0.7373 4.6564E-02 19 12.24 9.00 6.0663E-04 4.7942E-03 5.4009E-03 2.8954E-04 3.9031E-03 0.4773 0.8141 0.6691 7.4181E-02 21 13.60 10.00 5.1846E-04 2.7202E-03 3.2386E-03 2.4900E-04 2.1314E-03 0.4803 0.7836 0.5812 1.1682E-01 K-functions (units of 1/meter) at 695.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.34450 0.56362 0.56176 0.43327 0.60213 0.60276 0.47768 1.000 1.010 1.005 0.45207 0.59773 0.59629 0.45221 0.61812 0.61885 0.44680 2.000 2.010 2.005 0.43736 0.61262 0.61059 0.42025 0.62853 0.62962 0.39749 3.000 3.010 3.005 0.39873 0.62259 0.61943 0.37205 0.63637 0.63813 0.34026 4.000 4.010 4.005 0.34827 0.62933 0.62425 0.31774 0.64216 0.64508 0.28417 5.000 5.010 5.005 0.29514 0.63283 0.62456 0.26607 0.64578 0.65065 0.23635 6.000 6.010 6.005 0.24722 0.63225 0.61884 0.22315 0.64664 0.65483 0.20007 7.000 7.010 7.005 0.20905 0.62595 0.60459 0.19121 0.64365 0.65738 0.17498 8.000 8.010 8.005 0.18170 0.61142 0.57862 0.16944 0.63501 0.65780 0.15883 9.000 9.010 9.005 0.16348 0.58543 0.53795 0.15559 0.61803 0.65518 0.14905 10.000 10.010 10.005 0.15227 0.54487 0.48192 0.14735 0.58936 0.64798 0.14348 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 695.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 2.26161E-01 5.99545E-04 4.75895E-03 5.35849E-03 4.96090E-04 0.021042 9 1 10.0 0.0 180.0 9.91551E-02 6.04439E-04 2.09299E-03 2.69743E-03 5.00139E-04 0.021108 9 4 10.0 45.0 135.0 1.10855E-01 6.02159E-04 2.34070E-03 2.94286E-03 4.98253E-04 0.021115 9 7 10.0 90.0 90.0 1.54629E-01 5.98459E-04 3.26643E-03 3.86489E-03 4.95191E-04 0.021124 8 1 20.0 0.0 180.0 5.92767E-02 6.09312E-04 1.26520E-03 1.87451E-03 5.04172E-04 0.021344 8 4 20.0 45.0 135.0 6.61461E-02 6.05207E-04 1.41179E-03 2.01700E-03 5.00775E-04 0.021344 8 7 20.0 90.0 90.0 9.29567E-02 6.01798E-04 1.98407E-03 2.58587E-03 4.97954E-04 0.021344 7 1 30.0 0.0 180.0 4.17660E-02 6.21422E-04 9.32551E-04 1.55397E-03 5.14192E-04 0.022328 7 4 30.0 45.0 135.0 4.56107E-02 6.20217E-04 1.01840E-03 1.63862E-03 5.13195E-04 0.022328 7 7 30.0 90.0 90.0 5.99573E-02 6.18406E-04 1.33857E-03 1.95698E-03 5.11697E-04 0.022325 6 1 40.0 0.0 180.0 3.43094E-02 6.21466E-04 8.80289E-04 1.50175E-03 5.14228E-04 0.025657 6 4 40.0 45.0 135.0 3.67345E-02 6.19858E-04 9.42594E-04 1.56245E-03 5.12897E-04 0.025660 6 7 40.0 90.0 90.0 4.50946E-02 6.15281E-04 1.15709E-03 1.77237E-03 5.09111E-04 0.025659 5 1 50.0 0.0 180.0 3.17782E-02 6.33281E-04 1.12757E-03 1.76085E-03 5.24005E-04 0.035482 5 4 50.0 45.0 135.0 3.35634E-02 6.30632E-04 1.19159E-03 1.82222E-03 5.21813E-04 0.035503 5 7 50.0 90.0 90.0 3.92979E-02 6.33050E-04 1.39512E-03 2.02817E-03 5.23813E-04 0.035501 4 1 60.0 0.0 180.0 3.29612E-02 6.32428E-04 2.08341E-03 2.71584E-03 5.23299E-04 0.063208 4 4 60.0 45.0 135.0 3.43865E-02 6.33756E-04 2.17348E-03 2.80724E-03 5.24398E-04 0.063207 4 7 60.0 90.0 90.0 3.89051E-02 6.30460E-04 2.45878E-03 3.08924E-03 5.21671E-04 0.063199 3 1 70.0 0.0 180.0 3.95299E-02 6.05557E-04 5.59219E-03 6.19775E-03 5.01065E-04 0.141467 3 4 70.0 45.0 135.0 4.05747E-02 6.02320E-04 5.73281E-03 6.33513E-03 4.98386E-04 0.141290 3 7 70.0 90.0 90.0 4.42502E-02 6.03650E-04 6.25849E-03 6.86214E-03 4.99486E-04 0.141434 2 1 80.0 0.0 180.0 5.89487E-02 4.48465E-04 2.16686E-02 2.21171E-02 3.71080E-04 0.367584 2 4 80.0 45.0 135.0 5.92332E-02 4.48737E-04 2.17587E-02 2.22074E-02 3.71305E-04 0.367340 2 7 80.0 90.0 90.0 6.15869E-02 4.52637E-04 2.26401E-02 2.30928E-02 3.74532E-04 0.367613 1 1 87.5 0.0 180.0 8.88669E-02 2.03382E-04 6.87035E-02 6.89069E-02 1.68287E-04 0.773106 1 4 87.5 45.0 135.0 8.78026E-02 2.10777E-04 6.78840E-02 6.80947E-02 1.74407E-04 0.773143 1 7 87.5 90.0 90.0 8.76394E-02 2.10407E-04 6.77076E-02 6.79180E-02 1.74100E-04 0.772570 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 695.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 5.358E-03 2.262E-01 7.889E-02 7.778E-02 8.300E-02 4.434E-03 6.771E+00 5.995E-04 4.961E-04 1 0.00 0.00 1.102E-03 4.446E+00 2.289E-03 2.668E-03 3.461E-03 9.357E-04 3.964E+00 3 1.36 1.00 6.929E-04 2.261E+00 1.749E-03 2.129E-03 2.878E-03 1.083E-03 4.012E+00 5 2.72 2.00 4.538E-04 1.108E+00 1.116E-03 1.354E-03 1.819E-03 1.324E-03 3.953E+00 7 4.08 3.00 3.137E-04 5.335E-01 7.100E-04 8.491E-04 1.118E-03 1.722E-03 3.845E+00 9 5.44 4.00 2.297E-04 2.549E-01 4.650E-04 5.430E-04 6.913E-04 2.390E-03 3.720E+00 11 6.80 5.00 1.772E-04 1.216E-01 3.183E-04 3.608E-04 4.400E-04 3.512E-03 3.603E+00 13 8.16 6.00 1.426E-04 5.817E-02 2.293E-04 2.519E-04 2.930E-04 5.395E-03 3.509E+00 15 9.52 7.00 1.183E-04 2.796E-02 1.737E-04 1.855E-04 2.064E-04 8.537E-03 3.441E+00 17 10.88 8.00 1.002E-04 1.353E-02 1.374E-04 1.434E-04 1.539E-04 1.371E-02 3.396E+00 19 12.24 9.00 8.597E-05 6.607E-03 1.124E-04 1.155E-04 1.206E-04 2.203E-02 3.368E+00 21 13.60 10.00 7.430E-05 3.265E-03 9.421E-05 9.574E-05 9.822E-05 3.486E-02 3.351E+00 Waveband 35 of 40 completed in 5.3 sec. * * * * * Output for wavelength band 36 (700.0 to 710.0 nm; nominal wavelength = 705.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 23.4 m at 705.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 700.0 nm to 710.0 nm: Ed(diffuse) = 2.107E-01 Ed(direct) = 1.004E+00 Ed(total) = 1.215E+00 Absorption Coefficients of Individual Components at 705.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.7040 0.0062 0.0000 0.0004 0.7106 3 1.499 1.000 0.7040 0.0062 0.0000 0.0004 0.7106 5 2.997 2.000 0.7040 0.0062 0.0000 0.0004 0.7106 7 4.496 3.000 0.7040 0.0062 0.0000 0.0004 0.7106 9 5.995 4.000 0.7040 0.0062 0.0000 0.0004 0.7106 11 7.493 5.000 0.7040 0.0062 0.0000 0.0004 0.7106 13 8.992 6.000 0.7040 0.0062 0.0000 0.0004 0.7106 15 10.490 7.000 0.7040 0.0062 0.0000 0.0004 0.7106 17 11.989 8.000 0.7040 0.0062 0.0000 0.0004 0.7106 19 13.488 9.000 0.7040 0.0062 0.0000 0.0004 0.7106 21 14.986 10.000 0.7040 0.0062 0.0000 0.0004 0.7106 Scattering Coefficients of Individual Components at 705.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0007 0.2757 0.5116 0.0000 0.7880 3 1.499 1.000 0.0007 0.2757 0.5116 0.0000 0.7880 5 2.997 2.000 0.0007 0.2757 0.5116 0.0000 0.7880 7 4.496 3.000 0.0007 0.2757 0.5116 0.0000 0.7880 9 5.995 4.000 0.0007 0.2757 0.5116 0.0000 0.7880 11 7.493 5.000 0.0007 0.2757 0.5116 0.0000 0.7880 13 8.992 6.000 0.0007 0.2757 0.5116 0.0000 0.7880 15 10.490 7.000 0.0007 0.2757 0.5116 0.0000 0.7880 17 11.989 8.000 0.0007 0.2757 0.5116 0.0000 0.7880 19 13.488 9.000 0.0007 0.2757 0.5116 0.0000 0.7880 21 14.986 10.000 0.0007 0.2757 0.5116 0.0000 0.7880 Backscattering Coefficients of Individual Components at 705.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00033 0.00387 0.00090 0.00000 0.00509 3 1.499 1.000 0.00033 0.00387 0.00090 0.00000 0.00509 5 2.997 2.000 0.00033 0.00387 0.00090 0.00000 0.00509 7 4.496 3.000 0.00033 0.00387 0.00090 0.00000 0.00509 9 5.995 4.000 0.00033 0.00387 0.00090 0.00000 0.00509 11 7.493 5.000 0.00033 0.00387 0.00090 0.00000 0.00509 13 8.992 6.000 0.00033 0.00387 0.00090 0.00000 0.00509 15 10.490 7.000 0.00033 0.00387 0.00090 0.00000 0.00509 17 11.989 8.000 0.00033 0.00387 0.00090 0.00000 0.00509 19 13.488 9.000 0.00033 0.00387 0.00090 0.00000 0.00509 21 14.986 10.000 0.00033 0.00387 0.00090 0.00000 0.00509 Summary of Inherent Optical Properties at 705.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.7106 0.7880 1.4986 0.5258 0.00509 0.00646 3 1.499 1.000 0.7106 0.7880 1.4986 0.5258 0.00509 0.00646 5 2.997 2.000 0.7106 0.7880 1.4986 0.5258 0.00509 0.00646 7 4.496 3.000 0.7106 0.7880 1.4986 0.5258 0.00509 0.00646 9 5.995 4.000 0.7106 0.7880 1.4986 0.5258 0.00509 0.00646 11 7.493 5.000 0.7106 0.7880 1.4986 0.5258 0.00509 0.00646 13 8.992 6.000 0.7106 0.7880 1.4986 0.5258 0.00509 0.00646 15 10.490 7.000 0.7106 0.7880 1.4986 0.5258 0.00509 0.00646 17 11.989 8.000 0.7106 0.7880 1.4986 0.5258 0.00509 0.00646 19 13.488 9.000 0.7106 0.7880 1.4986 0.5258 0.00509 0.00646 21 14.986 10.000 0.7106 0.7880 1.4986 0.5258 0.00509 0.00646 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.6358E-01 8 20.00 5.8377E-01 7 30.00 3.1841E-01 6 40.00 1.4761E-01 5 50.00 6.1975E-02 4 60.00 2.5267E-02 3 70.00 1.0672E-02 2 80.00 4.9207E-03 1 87.50 2.9245E-03 1 92.50 2.1038E-03 2 100.00 1.4120E-03 3 110.00 9.2134E-04 4 120.00 6.6839E-04 5 130.00 5.3457E-04 6 140.00 4.6152E-04 7 150.00 4.2085E-04 8 160.00 3.9847E-04 9 170.00 3.8726E-04 10 180.00 3.8341E-04 Asymptotic AOP values are MUu(inf) = 0.3473 MUd(inf) = 0.8594 MU(inf) = 0.8510 R(inf) = 0.0029 Lu(inf)/Ed(inf) = 0.000573 (1/sr) k(inf) = 0.8351 (1/m) absorp(check) = 0.7107 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 705.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 9.9384E-02 1.4139E+00 1.5133E+00 3.5618E-02 1.2150E+00 0.3584 0.8593 0.7794 2.9314E-02 1 0.00 0.00 7.1775E-03 1.2341E+00 1.2413E+00 2.8873E-03 1.1839E+00 0.4023 0.9593 0.9515 2.4388E-03 3 1.50 1.00 3.8318E-03 5.9325E-01 5.9708E-01 1.4874E-03 5.5564E-01 0.3882 0.9366 0.9281 2.6768E-03 5 3.00 2.00 1.9703E-03 2.7873E-01 2.8070E-01 7.6473E-04 2.5706E-01 0.3881 0.9222 0.9130 2.9749E-03 7 4.50 3.00 1.0347E-03 1.2921E-01 1.3024E-01 4.0864E-04 1.1770E-01 0.3949 0.9109 0.9005 3.4719E-03 9 5.99 4.00 5.7353E-04 5.9299E-02 5.9873E-02 2.3428E-04 5.3444E-02 0.4085 0.9013 0.8887 4.3837E-03 11 7.49 5.00 3.4569E-04 2.7025E-02 2.7371E-02 1.4775E-04 2.4120E-02 0.4274 0.8925 0.8758 6.1255E-03 13 8.99 6.00 2.3030E-04 1.2267E-02 1.2498E-02 1.0312E-04 1.0842E-02 0.4478 0.8838 0.8592 9.5113E-03 15 10.49 7.00 1.6872E-04 5.5717E-03 5.7404E-03 7.8469E-05 4.8682E-03 0.4651 0.8737 0.8344 1.6119E-02 17 11.99 8.00 1.3299E-04 2.5509E-03 2.6839E-03 6.3461E-05 2.1944E-03 0.4772 0.8602 0.7940 2.8920E-02 19 13.49 9.00 1.0994E-04 1.1921E-03 1.3020E-03 5.3265E-05 1.0011E-03 0.4845 0.8398 0.7280 5.3207E-02 21 14.99 10.00 9.3414E-05 5.8037E-04 6.7379E-04 4.5626E-05 4.6894E-04 0.4884 0.8080 0.6283 9.7296E-02 K-functions (units of 1/meter) at 705.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.50895 0.70889 0.70773 0.62666 0.74630 0.74659 0.69223 1.000 1.010 1.005 0.66321 0.74677 0.74623 0.67336 0.76469 0.76494 0.67961 2.000 2.010 2.005 0.66042 0.76292 0.76220 0.65138 0.77648 0.77685 0.63405 3.000 3.010 3.005 0.62235 0.77427 0.77306 0.59637 0.78561 0.78627 0.55741 4.000 4.010 4.005 0.55224 0.78275 0.78054 0.51131 0.79281 0.79405 0.45711 5.000 5.010 5.005 0.45712 0.78844 0.78425 0.40922 0.79804 0.80044 0.35331 6.000 6.010 6.005 0.35596 0.79048 0.78245 0.31246 0.80079 0.80549 0.26748 7.000 7.010 7.005 0.27028 0.78681 0.77159 0.23837 0.79980 0.80903 0.20864 8.000 8.010 8.005 0.21043 0.77355 0.74557 0.19047 0.79256 0.81054 0.17350 9.000 9.010 9.005 0.17422 0.74415 0.69590 0.16304 0.77444 0.80891 0.15447 10.000 10.010 10.005 0.15463 0.68990 0.61552 0.14878 0.73810 0.80183 0.14496 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 705.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 2.23085E-01 3.84123E-04 4.69421E-03 5.07834E-03 3.16140E-04 0.021042 9 1 10.0 0.0 180.0 9.78063E-02 3.88175E-04 2.06450E-03 2.45268E-03 3.19476E-04 0.021108 9 4 10.0 45.0 135.0 1.09349E-01 3.86244E-04 2.30889E-03 2.69514E-03 3.17886E-04 0.021115 9 7 10.0 90.0 90.0 1.52516E-01 3.83405E-04 3.22183E-03 3.60523E-03 3.15550E-04 0.021124 8 1 20.0 0.0 180.0 5.84703E-02 3.91559E-04 1.24799E-03 1.63954E-03 3.22261E-04 0.021344 8 4 20.0 45.0 135.0 6.52463E-02 3.88445E-04 1.39259E-03 1.78103E-03 3.19698E-04 0.021344 8 7 20.0 90.0 90.0 9.16923E-02 3.85573E-04 1.95708E-03 2.34265E-03 3.17334E-04 0.021344 7 1 30.0 0.0 180.0 4.11978E-02 3.99519E-04 9.19865E-04 1.31938E-03 3.28812E-04 0.022328 7 4 30.0 45.0 135.0 4.49902E-02 3.98298E-04 1.00455E-03 1.40285E-03 3.27807E-04 0.022328 7 7 30.0 90.0 90.0 5.91417E-02 3.96271E-04 1.32036E-03 1.71664E-03 3.26139E-04 0.022325 6 1 40.0 0.0 180.0 3.38427E-02 4.00182E-04 8.68314E-04 1.26850E-03 3.29357E-04 0.025657 6 4 40.0 45.0 135.0 3.62348E-02 3.98657E-04 9.29772E-04 1.32843E-03 3.28103E-04 0.025660 6 7 40.0 90.0 90.0 4.44812E-02 3.94713E-04 1.14135E-03 1.53606E-03 3.24856E-04 0.025659 5 1 50.0 0.0 180.0 3.13459E-02 4.08388E-04 1.11223E-03 1.52062E-03 3.36112E-04 0.035482 5 4 50.0 45.0 135.0 3.31068E-02 4.06203E-04 1.17538E-03 1.58159E-03 3.34313E-04 0.035503 5 7 50.0 90.0 90.0 3.87633E-02 4.06922E-04 1.37614E-03 1.78306E-03 3.34904E-04 0.035501 4 1 60.0 0.0 180.0 3.25129E-02 4.08552E-04 2.05507E-03 2.46362E-03 3.36246E-04 0.063208 4 4 60.0 45.0 135.0 3.39188E-02 4.08956E-04 2.14392E-03 2.55287E-03 3.36579E-04 0.063207 4 7 60.0 90.0 90.0 3.83759E-02 4.06206E-04 2.42533E-03 2.83154E-03 3.34316E-04 0.063199 3 1 70.0 0.0 180.0 3.89922E-02 3.91936E-04 5.51612E-03 5.90806E-03 3.22571E-04 0.141467 3 4 70.0 45.0 135.0 4.00228E-02 3.89501E-04 5.65483E-03 6.04433E-03 3.20567E-04 0.141290 3 7 70.0 90.0 90.0 4.36483E-02 3.90009E-04 6.17336E-03 6.56337E-03 3.20985E-04 0.141434 2 1 80.0 0.0 180.0 5.81469E-02 2.91658E-04 2.13739E-02 2.16655E-02 2.40040E-04 0.367584 2 4 80.0 45.0 135.0 5.84274E-02 2.91747E-04 2.14627E-02 2.17545E-02 2.40113E-04 0.367340 2 7 80.0 90.0 90.0 6.07492E-02 2.94440E-04 2.23322E-02 2.26266E-02 2.42330E-04 0.367613 1 1 87.5 0.0 180.0 8.76580E-02 1.32269E-04 6.77690E-02 6.79012E-02 1.08860E-04 0.773106 1 4 87.5 45.0 135.0 8.66082E-02 1.37037E-04 6.69605E-02 6.70976E-02 1.12784E-04 0.773143 1 7 87.5 90.0 90.0 8.64473E-02 1.36870E-04 6.67866E-02 6.69235E-02 1.12646E-04 0.772570 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 705.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 5.078E-03 2.231E-01 7.778E-02 7.669E-02 8.184E-02 4.180E-03 7.014E+00 3.841E-04 3.161E-04 1 0.00 0.00 7.064E-04 4.480E+00 1.639E-03 1.952E-03 2.612E-03 5.966E-04 4.088E+00 3 1.50 1.00 3.546E-04 1.982E+00 1.058E-03 1.325E-03 1.857E-03 6.381E-04 4.195E+00 5 3.00 2.00 1.833E-04 8.448E-01 5.497E-04 6.915E-04 9.707E-04 7.132E-04 4.171E+00 7 4.50 3.00 1.008E-04 3.534E-01 2.831E-04 3.535E-04 4.902E-04 8.562E-04 4.055E+00 9 5.99 4.00 6.058E-05 1.466E-01 1.498E-04 1.834E-04 2.474E-04 1.133E-03 3.868E+00 11 7.49 5.00 4.041E-05 6.070E-02 8.385E-05 9.943E-05 1.285E-04 1.675E-03 3.656E+00 13 8.99 6.00 2.968E-05 2.517E-02 5.100E-05 5.806E-05 7.089E-05 2.738E-03 3.474E+00 15 10.49 7.00 2.345E-05 1.048E-02 3.418E-05 3.731E-05 4.285E-05 4.816E-03 3.347E+00 17 11.99 8.00 1.940E-05 4.387E-03 2.509E-05 2.647E-05 2.882E-05 8.841E-03 3.271E+00 19 13.49 9.00 1.649E-05 1.851E-03 1.978E-05 2.037E-05 2.135E-05 1.647E-02 3.231E+00 21 14.99 10.00 1.420E-05 7.900E-04 1.634E-05 1.659E-05 1.699E-05 3.029E-02 3.212E+00 Waveband 36 of 40 completed in 5.6 sec. * * * * * Output for wavelength band 37 (710.0 to 720.0 nm; nominal wavelength = 715.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 21.1 m at 715.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 710.0 nm to 720.0 nm: Ed(diffuse) = 1.902E-01 Ed(direct) = 9.268E-01 Ed(total) = 1.117E+00 Absorption Coefficients of Individual Components at 715.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 1.0070 0.0005 0.0000 0.0004 1.0078 3 1.796 1.000 1.0070 0.0005 0.0000 0.0004 1.0078 5 3.592 2.000 1.0070 0.0005 0.0000 0.0004 1.0078 7 5.387 3.000 1.0070 0.0005 0.0000 0.0004 1.0078 9 7.183 4.000 1.0070 0.0005 0.0000 0.0004 1.0078 11 8.979 5.000 1.0070 0.0005 0.0000 0.0004 1.0078 13 10.775 6.000 1.0070 0.0005 0.0000 0.0004 1.0078 15 12.571 7.000 1.0070 0.0005 0.0000 0.0004 1.0078 17 14.367 8.000 1.0070 0.0005 0.0000 0.0004 1.0078 19 16.162 9.000 1.0070 0.0005 0.0000 0.0004 1.0078 21 17.958 10.000 1.0070 0.0005 0.0000 0.0004 1.0078 Scattering Coefficients of Individual Components at 715.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0006 0.2757 0.5116 0.0000 0.7880 3 1.796 1.000 0.0006 0.2757 0.5116 0.0000 0.7880 5 3.592 2.000 0.0006 0.2757 0.5116 0.0000 0.7880 7 5.387 3.000 0.0006 0.2757 0.5116 0.0000 0.7880 9 7.183 4.000 0.0006 0.2757 0.5116 0.0000 0.7880 11 8.979 5.000 0.0006 0.2757 0.5116 0.0000 0.7880 13 10.775 6.000 0.0006 0.2757 0.5116 0.0000 0.7880 15 12.571 7.000 0.0006 0.2757 0.5116 0.0000 0.7880 17 14.367 8.000 0.0006 0.2757 0.5116 0.0000 0.7880 19 16.162 9.000 0.0006 0.2757 0.5116 0.0000 0.7880 21 17.958 10.000 0.0006 0.2757 0.5116 0.0000 0.7880 Backscattering Coefficients of Individual Components at 715.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00031 0.00387 0.00090 0.00000 0.00507 3 1.796 1.000 0.00031 0.00387 0.00090 0.00000 0.00507 5 3.592 2.000 0.00031 0.00387 0.00090 0.00000 0.00507 7 5.387 3.000 0.00031 0.00387 0.00090 0.00000 0.00507 9 7.183 4.000 0.00031 0.00387 0.00090 0.00000 0.00507 11 8.979 5.000 0.00031 0.00387 0.00090 0.00000 0.00507 13 10.775 6.000 0.00031 0.00387 0.00090 0.00000 0.00507 15 12.571 7.000 0.00031 0.00387 0.00090 0.00000 0.00507 17 14.367 8.000 0.00031 0.00387 0.00090 0.00000 0.00507 19 16.162 9.000 0.00031 0.00387 0.00090 0.00000 0.00507 21 17.958 10.000 0.00031 0.00387 0.00090 0.00000 0.00507 Summary of Inherent Optical Properties at 715.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 1.0078 0.7880 1.7958 0.4388 0.00507 0.00644 3 1.796 1.000 1.0078 0.7880 1.7958 0.4388 0.00507 0.00644 5 3.592 2.000 1.0078 0.7880 1.7958 0.4388 0.00507 0.00644 7 5.387 3.000 1.0078 0.7880 1.7958 0.4388 0.00507 0.00644 9 7.183 4.000 1.0078 0.7880 1.7958 0.4388 0.00507 0.00644 11 8.979 5.000 1.0078 0.7880 1.7958 0.4388 0.00507 0.00644 13 10.775 6.000 1.0078 0.7880 1.7958 0.4388 0.00507 0.00644 15 12.571 7.000 1.0078 0.7880 1.7958 0.4388 0.00507 0.00644 17 14.367 8.000 1.0078 0.7880 1.7958 0.4388 0.00507 0.00644 19 16.162 9.000 1.0078 0.7880 1.7958 0.4388 0.00507 0.00644 21 17.958 10.000 1.0078 0.7880 1.7958 0.4388 0.00507 0.00644 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.3374E-01 8 20.00 5.1496E-01 7 30.00 2.4750E-01 6 40.00 9.9895E-02 5 50.00 3.6990E-02 4 60.00 1.3757E-02 3 70.00 5.5339E-03 2 80.00 2.5161E-03 1 87.50 1.5009E-03 1 92.50 1.0915E-03 2 100.00 7.4167E-04 3 110.00 4.9207E-04 4 120.00 3.6421E-04 5 130.00 2.9689E-04 6 140.00 2.6027E-04 7 150.00 2.3996E-04 8 160.00 2.2884E-04 9 170.00 2.2331E-04 10 180.00 2.2140E-04 Asymptotic AOP values are MUu(inf) = 0.3560 MUd(inf) = 0.8817 MU(inf) = 0.8760 R(inf) = 0.0019 Lu(inf)/Ed(inf) = 0.000396 (1/sr) k(inf) = 1.1507 (1/m) absorp(check) = 1.0079 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 715.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 8.9515E-02 1.2970E+00 1.3865E+00 3.2227E-02 1.1170E+00 0.3600 0.8612 0.7824 2.8850E-02 1 0.00 0.00 4.4624E-03 1.1326E+00 1.1371E+00 1.7764E-03 1.0881E+00 0.3981 0.9607 0.9553 1.6326E-03 3 1.80 1.00 1.7079E-03 3.9763E-01 3.9934E-01 6.5932E-04 3.7424E-01 0.3860 0.9412 0.9355 1.7617E-03 5 3.59 2.00 6.3726E-04 1.3621E-01 1.3685E-01 2.4793E-04 1.2661E-01 0.3891 0.9295 0.9233 1.9583E-03 7 5.39 3.00 2.5325E-04 4.6003E-02 4.6257E-02 1.0216E-04 4.2331E-02 0.4034 0.9202 0.9129 2.4134E-03 9 7.18 4.00 1.1663E-04 1.5381E-02 1.5498E-02 5.0277E-05 1.4028E-02 0.4311 0.9120 0.9019 3.5841E-03 11 8.98 5.00 6.6676E-05 5.1138E-03 5.1805E-03 3.0927E-05 4.6217E-03 0.4638 0.9038 0.8862 6.6917E-03 13 10.77 6.00 4.6697E-05 1.7045E-03 1.7512E-03 2.2787E-05 1.5219E-03 0.4880 0.8929 0.8561 1.4972E-02 15 12.57 7.00 3.7131E-05 5.8034E-04 6.1747E-04 1.8567E-05 5.0698E-04 0.5000 0.8736 0.7910 3.6622E-02 17 14.37 8.00 3.1320E-05 2.1003E-04 2.4135E-04 1.5802E-05 1.7532E-04 0.5045 0.8348 0.6610 9.0131E-02 19 16.16 9.00 2.7023E-05 8.7104E-05 1.1413E-04 1.3665E-05 6.6628E-05 0.5057 0.7649 0.4641 2.0509E-01 21 17.96 10.00 2.3479E-05 4.4972E-05 6.8451E-05 1.1869E-05 3.0335E-05 0.5055 0.6745 0.2698 3.9126E-01 K-functions (units of 1/meter) at 715.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.81698 1.01908 1.01829 0.94690 1.05483 1.05501 1.01407 1.000 1.010 1.005 0.99375 1.06229 1.06199 0.99818 1.07687 1.07700 0.99400 2.000 2.010 2.005 0.96666 1.07926 1.07874 0.94582 1.09024 1.09053 0.90367 3.000 3.010 3.005 0.86373 1.09119 1.08995 0.81092 1.10049 1.10119 0.72647 4.000 4.010 4.005 0.67274 1.09932 1.09610 0.59689 1.10801 1.10986 0.49921 5.000 5.010 5.005 0.44726 1.10179 1.09333 0.38218 1.11172 1.11665 0.31445 6.000 6.010 6.005 0.27902 1.09250 1.07072 0.24285 1.10795 1.12116 0.21180 7.000 7.010 7.005 0.19168 1.05624 1.00404 0.17672 1.08700 1.12177 0.16708 8.000 8.010 8.005 0.15563 0.96260 0.85751 0.15088 1.02667 1.11385 0.15036 9.000 9.010 9.005 0.14315 0.77980 0.62869 0.14246 0.89121 1.08530 0.14512 10.000 10.010 10.005 0.14024 0.53711 0.40080 0.14089 0.66867 1.00938 0.14428 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 715.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 2.01436E-01 2.36370E-04 4.23867E-03 4.47504E-03 2.11605E-04 0.021042 9 1 10.0 0.0 180.0 8.83148E-02 2.39106E-04 1.86414E-03 2.10325E-03 2.14054E-04 0.021108 9 4 10.0 45.0 135.0 9.87383E-02 2.37731E-04 2.08486E-03 2.32259E-03 2.12824E-04 0.021115 9 7 10.0 90.0 90.0 1.37708E-01 2.35837E-04 2.90903E-03 3.14486E-03 2.11127E-04 0.021125 8 1 20.0 0.0 180.0 5.27962E-02 2.41116E-04 1.12688E-03 1.36799E-03 2.15853E-04 0.021344 8 4 20.0 45.0 135.0 5.89146E-02 2.39025E-04 1.25744E-03 1.49647E-03 2.13982E-04 0.021344 8 7 20.0 90.0 90.0 8.27941E-02 2.37026E-04 1.76716E-03 2.00419E-03 2.12192E-04 0.021344 7 1 30.0 0.0 180.0 3.71998E-02 2.45908E-04 8.30599E-04 1.07651E-03 2.20144E-04 0.022328 7 4 30.0 45.0 135.0 4.06242E-02 2.45010E-04 9.07063E-04 1.15207E-03 2.19339E-04 0.022328 7 7 30.0 90.0 90.0 5.34024E-02 2.43450E-04 1.19223E-03 1.43568E-03 2.17944E-04 0.022325 6 1 40.0 0.0 180.0 3.05585E-02 2.46087E-04 7.84050E-04 1.03014E-03 2.20304E-04 0.025657 6 4 40.0 45.0 135.0 3.27184E-02 2.44968E-04 8.39544E-04 1.08451E-03 2.19302E-04 0.025660 6 7 40.0 90.0 90.0 4.01646E-02 2.42095E-04 1.03059E-03 1.27269E-03 2.16730E-04 0.025659 5 1 50.0 0.0 180.0 2.83040E-02 2.50982E-04 1.00430E-03 1.25528E-03 2.24686E-04 0.035482 5 4 50.0 45.0 135.0 2.98940E-02 2.49434E-04 1.06132E-03 1.31075E-03 2.23300E-04 0.035503 5 7 50.0 90.0 90.0 3.50016E-02 2.49392E-04 1.24259E-03 1.49199E-03 2.23263E-04 0.035501 4 1 60.0 0.0 180.0 2.93577E-02 2.50901E-04 1.85564E-03 2.10654E-03 2.24613E-04 0.063208 4 4 60.0 45.0 135.0 3.06272E-02 2.50920E-04 1.93586E-03 2.18678E-03 2.24630E-04 0.063207 4 7 60.0 90.0 90.0 3.46518E-02 2.48730E-04 2.18997E-03 2.43870E-03 2.22670E-04 0.063199 3 1 70.0 0.0 180.0 3.52083E-02 2.40625E-04 4.98082E-03 5.22144E-03 2.15414E-04 0.141467 3 4 70.0 45.0 135.0 3.61389E-02 2.38917E-04 5.10607E-03 5.34498E-03 2.13885E-04 0.141290 3 7 70.0 90.0 90.0 3.94125E-02 2.38744E-04 5.57428E-03 5.81302E-03 2.13731E-04 0.141434 2 1 80.0 0.0 180.0 5.25041E-02 1.78925E-04 1.92997E-02 1.94786E-02 1.60179E-04 0.367584 2 4 80.0 45.0 135.0 5.27574E-02 1.78832E-04 1.93799E-02 1.95587E-02 1.60095E-04 0.367340 2 7 80.0 90.0 90.0 5.48539E-02 1.80117E-04 2.01650E-02 2.03451E-02 1.61246E-04 0.367613 1 1 87.5 0.0 180.0 7.91514E-02 8.11438E-05 6.11925E-02 6.12736E-02 7.26422E-05 0.773106 1 4 87.5 45.0 135.0 7.82035E-02 8.39997E-05 6.04625E-02 6.05465E-02 7.51988E-05 0.773143 1 7 87.5 90.0 90.0 7.80582E-02 8.37269E-05 6.03054E-02 6.03891E-02 7.49547E-05 0.772570 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 715.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 4.475E-03 2.014E-01 7.021E-02 6.922E-02 7.387E-02 4.006E-03 7.201E+00 2.364E-04 2.116E-04 1 0.00 0.00 4.347E-04 4.126E+00 1.048E-03 1.257E-03 1.701E-03 3.995E-04 4.087E+00 3 1.80 1.00 1.583E-04 1.355E+00 4.816E-04 6.077E-04 8.625E-04 4.231E-04 4.164E+00 5 3.59 2.00 6.087E-05 4.277E-01 1.787E-04 2.262E-04 3.206E-04 4.808E-04 4.073E+00 7 5.39 3.00 2.673E-05 1.324E-01 6.774E-05 8.453E-05 1.173E-04 6.315E-04 3.822E+00 9 7.18 4.00 1.447E-05 4.061E-02 2.808E-05 3.380E-05 4.473E-05 1.031E-03 3.476E+00 11 8.98 5.00 9.688E-06 1.242E-02 1.382E-05 1.571E-05 1.924E-05 2.096E-03 3.192E+00 13 10.77 6.00 7.492E-06 3.802E-03 8.458E-06 9.073E-06 1.018E-05 4.923E-03 3.041E+00 15 12.57 7.00 6.221E-06 1.170E-03 6.209E-06 6.405E-06 6.745E-06 1.227E-02 2.985E+00 17 14.37 8.00 5.316E-06 3.641E-04 5.057E-06 5.119E-06 5.222E-06 3.032E-02 2.972E+00 19 16.16 9.00 4.590E-06 1.161E-04 4.313E-06 4.332E-06 4.362E-06 6.889E-02 2.977E+00 21 17.96 10.00 3.973E-06 3.927E-05 3.740E-06 3.746E-06 3.755E-06 1.310E-01 2.987E+00 Waveband 37 of 40 completed in 6.5 sec. * * * * * Output for wavelength band 38 (720.0 to 730.0 nm; nominal wavelength = 725.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 18.8 m at 725.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 720.0 nm to 730.0 nm: Ed(diffuse) = 1.697E-01 Ed(direct) = 8.460E-01 Ed(total) = 1.016E+00 Absorption Coefficients of Individual Components at 725.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 1.4890 0.0000 0.0000 0.0003 1.4893 3 2.277 1.000 1.4890 0.0000 0.0000 0.0003 1.4893 5 4.555 2.000 1.4890 0.0000 0.0000 0.0003 1.4893 7 6.832 3.000 1.4890 0.0000 0.0000 0.0003 1.4893 9 9.109 4.000 1.4890 0.0000 0.0000 0.0003 1.4893 11 11.386 5.000 1.4890 0.0000 0.0000 0.0003 1.4893 13 13.664 6.000 1.4890 0.0000 0.0000 0.0003 1.4893 15 15.941 7.000 1.4890 0.0000 0.0000 0.0003 1.4893 17 18.218 8.000 1.4890 0.0000 0.0000 0.0003 1.4893 19 20.495 9.000 1.4890 0.0000 0.0000 0.0003 1.4893 21 22.773 10.000 1.4890 0.0000 0.0000 0.0003 1.4893 Scattering Coefficients of Individual Components at 725.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0006 0.2757 0.5116 0.0000 0.7879 3 2.277 1.000 0.0006 0.2757 0.5116 0.0000 0.7879 5 4.555 2.000 0.0006 0.2757 0.5116 0.0000 0.7879 7 6.832 3.000 0.0006 0.2757 0.5116 0.0000 0.7879 9 9.109 4.000 0.0006 0.2757 0.5116 0.0000 0.7879 11 11.386 5.000 0.0006 0.2757 0.5116 0.0000 0.7879 13 13.664 6.000 0.0006 0.2757 0.5116 0.0000 0.7879 15 15.941 7.000 0.0006 0.2757 0.5116 0.0000 0.7879 17 18.218 8.000 0.0006 0.2757 0.5116 0.0000 0.7879 19 20.495 9.000 0.0006 0.2757 0.5116 0.0000 0.7879 21 22.773 10.000 0.0006 0.2757 0.5116 0.0000 0.7879 Backscattering Coefficients of Individual Components at 725.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00029 0.00387 0.00090 0.00000 0.00506 3 2.277 1.000 0.00029 0.00387 0.00090 0.00000 0.00506 5 4.555 2.000 0.00029 0.00387 0.00090 0.00000 0.00506 7 6.832 3.000 0.00029 0.00387 0.00090 0.00000 0.00506 9 9.109 4.000 0.00029 0.00387 0.00090 0.00000 0.00506 11 11.386 5.000 0.00029 0.00387 0.00090 0.00000 0.00506 13 13.664 6.000 0.00029 0.00387 0.00090 0.00000 0.00506 15 15.941 7.000 0.00029 0.00387 0.00090 0.00000 0.00506 17 18.218 8.000 0.00029 0.00387 0.00090 0.00000 0.00506 19 20.495 9.000 0.00029 0.00387 0.00090 0.00000 0.00506 21 22.773 10.000 0.00029 0.00387 0.00090 0.00000 0.00506 Summary of Inherent Optical Properties at 725.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 1.4893 0.7879 2.2773 0.3460 0.00506 0.00642 3 2.277 1.000 1.4893 0.7879 2.2773 0.3460 0.00506 0.00642 5 4.555 2.000 1.4893 0.7879 2.2773 0.3460 0.00506 0.00642 7 6.832 3.000 1.4893 0.7879 2.2773 0.3460 0.00506 0.00642 9 9.109 4.000 1.4893 0.7879 2.2773 0.3460 0.00506 0.00642 11 11.386 5.000 1.4893 0.7879 2.2773 0.3460 0.00506 0.00642 13 13.664 6.000 1.4893 0.7879 2.2773 0.3460 0.00506 0.00642 15 15.941 7.000 1.4893 0.7879 2.2773 0.3460 0.00506 0.00642 17 18.218 8.000 1.4893 0.7879 2.2773 0.3460 0.00506 0.00642 19 20.495 9.000 1.4893 0.7879 2.2773 0.3460 0.00506 0.00642 21 22.773 10.000 1.4893 0.7879 2.2773 0.3460 0.00506 0.00642 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 7.9244E-01 8 20.00 4.3117E-01 7 30.00 1.7520E-01 6 40.00 5.9656E-02 5 50.00 1.9262E-02 4 60.00 6.6104E-03 3 70.00 2.5941E-03 2 80.00 1.1873E-03 1 87.50 7.1703E-04 1 92.50 5.2849E-04 2 100.00 3.6406E-04 3 110.00 2.4594E-04 4 120.00 1.8583E-04 5 130.00 1.5428E-04 6 140.00 1.3715E-04 7 150.00 1.2768E-04 8 160.00 1.2253E-04 9 170.00 1.2000E-04 10 180.00 1.1913E-04 Asymptotic AOP values are MUu(inf) = 0.3649 MUd(inf) = 0.9033 MU(inf) = 0.8995 R(inf) = 0.0012 Lu(inf)/Ed(inf) = 0.000263 (1/sr) k(inf) = 1.6558 (1/m) absorp(check) = 1.4895 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 725.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 7.9878E-02 1.1766E+00 1.2565E+00 2.8941E-02 1.0157E+00 0.3623 0.8632 0.7853 2.8495E-02 1 0.00 0.00 2.7157E-03 1.0285E+00 1.0312E+00 1.0772E-03 9.8915E-01 0.3967 0.9617 0.9582 1.0890E-03 3 2.28 1.00 6.3375E-04 2.1770E-01 2.1833E-01 2.4820E-04 2.0599E-01 0.3916 0.9462 0.9423 1.2049E-03 5 4.55 2.00 1.6078E-04 4.4947E-02 4.5108E-02 6.6166E-05 4.2115E-02 0.4115 0.9370 0.9322 1.5711E-03 7 6.83 3.00 5.7726E-05 9.1581E-03 9.2159E-03 2.6383E-05 8.5059E-03 0.4570 0.9288 0.9201 3.1017E-03 9 9.11 4.00 3.3412E-05 1.8616E-03 1.8950E-03 1.6593E-05 1.7092E-03 0.4966 0.9181 0.8932 9.7080E-03 11 11.39 5.00 2.5709E-05 3.9105E-04 4.1676E-04 1.3139E-05 3.4929E-04 0.5111 0.8932 0.8066 3.7617E-02 13 13.66 6.00 2.1671E-05 9.5388E-05 1.1706E-04 1.1131E-05 7.8299E-05 0.5136 0.8208 0.5738 1.4216E-01 15 15.94 7.00 1.8643E-05 3.4610E-05 5.3253E-05 9.5639E-06 2.3726E-05 0.5130 0.6855 0.2659 4.0310E-01 17 18.22 8.00 1.6072E-05 2.0536E-05 3.6608E-05 8.2261E-06 1.1904E-05 0.5118 0.5796 0.1005 6.9106E-01 19 20.50 9.00 1.3830E-05 1.5881E-05 2.9712E-05 7.0626E-06 8.5832E-06 0.5107 0.5405 0.0512 8.2284E-01 21 22.77 10.00 1.1871E-05 1.3300E-05 2.5171E-05 6.0497E-06 7.0464E-06 0.5096 0.5298 0.0396 8.5855E-01 K-functions (units of 1/meter) at 725.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 1.30737 1.52137 1.52081 1.43967 1.55437 1.55449 1.49695 1.000 1.010 1.005 1.45483 1.56867 1.56834 1.43454 1.57978 1.57995 1.38836 2.000 2.010 2.005 1.24272 1.58540 1.58418 1.15960 1.59431 1.59500 1.02641 3.000 3.010 3.005 0.77359 1.59473 1.58956 0.66392 1.60390 1.60684 0.53554 4.000 4.010 4.005 0.36034 1.58676 1.56501 0.30858 1.60260 1.61537 0.26302 5.000 5.010 5.005 0.19748 1.51666 1.43478 0.18515 1.56296 1.61720 0.17956 6.000 6.010 6.005 0.15635 1.25578 1.05133 0.15569 1.39033 1.59641 0.16029 7.000 7.010 7.005 0.14922 0.74417 0.53548 0.15109 0.94813 1.49001 0.15728 8.000 8.010 8.005 0.15001 0.34304 0.25825 0.15215 0.45844 1.14700 0.15796 9.000 9.010 9.005 0.15230 0.19842 0.17695 0.15426 0.23417 0.60614 0.15939 10.000 10.010 10.005 0.15496 0.16325 0.15934 0.15662 0.17305 0.27284 0.16096 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 725.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.79707E-01 1.44313E-04 3.78146E-03 3.92577E-03 1.42087E-04 0.021042 9 1 10.0 0.0 180.0 7.87885E-02 1.46054E-04 1.66305E-03 1.80910E-03 1.43801E-04 0.021108 9 4 10.0 45.0 135.0 8.80889E-02 1.45136E-04 1.85999E-03 2.00513E-03 1.42896E-04 0.021115 9 7 10.0 90.0 90.0 1.22846E-01 1.43935E-04 2.59510E-03 2.73903E-03 1.41715E-04 0.021125 8 1 20.0 0.0 180.0 4.71012E-02 1.47211E-04 1.00532E-03 1.15253E-03 1.44940E-04 0.021344 8 4 20.0 45.0 135.0 5.25596E-02 1.45869E-04 1.12181E-03 1.26768E-03 1.43618E-04 0.021344 8 7 20.0 90.0 90.0 7.38633E-02 1.44576E-04 1.57654E-03 1.72112E-03 1.42345E-04 0.021344 7 1 30.0 0.0 180.0 3.31872E-02 1.50052E-04 7.41004E-04 8.91056E-04 1.47737E-04 0.022328 7 4 30.0 45.0 135.0 3.62422E-02 1.49457E-04 8.09220E-04 9.58677E-04 1.47151E-04 0.022328 7 7 30.0 90.0 90.0 4.76420E-02 1.48403E-04 1.06363E-03 1.21203E-03 1.46114E-04 0.022325 6 1 40.0 0.0 180.0 2.72622E-02 1.49974E-04 6.99477E-04 8.49451E-04 1.47660E-04 0.025657 6 4 40.0 45.0 135.0 2.91892E-02 1.49232E-04 7.48984E-04 8.98216E-04 1.46929E-04 0.025660 6 7 40.0 90.0 90.0 3.58322E-02 1.47313E-04 9.19423E-04 1.06674E-03 1.45040E-04 0.025659 5 1 50.0 0.0 180.0 2.52509E-02 1.52820E-04 8.95965E-04 1.04879E-03 1.50462E-04 0.035482 5 4 50.0 45.0 135.0 2.66694E-02 1.51803E-04 9.46838E-04 1.09864E-03 1.49461E-04 0.035503 5 7 50.0 90.0 90.0 3.12261E-02 1.51581E-04 1.10856E-03 1.26014E-03 1.49243E-04 0.035501 4 1 60.0 0.0 180.0 2.61910E-02 1.52608E-04 1.65548E-03 1.80809E-03 1.50253E-04 0.063208 4 4 60.0 45.0 135.0 2.73235E-02 1.52528E-04 1.72705E-03 1.87958E-03 1.50175E-04 0.063207 4 7 60.0 90.0 90.0 3.09140E-02 1.50978E-04 1.95374E-03 2.10472E-03 1.48649E-04 0.063199 3 1 70.0 0.0 180.0 3.14105E-02 1.46255E-04 4.44355E-03 4.58981E-03 1.43999E-04 0.141467 3 4 70.0 45.0 135.0 3.22406E-02 1.45128E-04 4.55529E-03 4.70042E-03 1.42889E-04 0.141290 3 7 70.0 90.0 90.0 3.51612E-02 1.44795E-04 4.97299E-03 5.11779E-03 1.42562E-04 0.141434 2 1 80.0 0.0 180.0 4.68406E-02 1.08562E-04 1.72179E-02 1.73264E-02 1.06887E-04 0.367584 2 4 80.0 45.0 135.0 4.70666E-02 1.08435E-04 1.72894E-02 1.73979E-02 1.06762E-04 0.367340 2 7 80.0 90.0 90.0 4.89369E-02 1.09014E-04 1.79898E-02 1.80989E-02 1.07332E-04 0.367613 1 1 87.5 0.0 180.0 7.06136E-02 4.92336E-05 5.45918E-02 5.46410E-02 4.84740E-05 0.773106 1 4 87.5 45.0 135.0 6.97679E-02 5.09334E-05 5.39405E-02 5.39915E-02 5.01476E-05 0.773143 1 7 87.5 90.0 90.0 6.96382E-02 5.06746E-05 5.38004E-02 5.38511E-02 4.98928E-05 0.772570 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 725.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 3.926E-03 1.797E-01 6.263E-02 6.174E-02 6.589E-02 3.865E-03 7.372E+00 1.443E-04 1.421E-04 1 0.00 0.00 2.654E-04 3.759E+00 6.488E-04 7.806E-04 1.063E-03 2.683E-04 4.059E+00 3 2.28 1.00 6.161E-05 7.609E-01 1.761E-04 2.220E-04 3.160E-04 2.991E-04 4.029E+00 5 4.55 2.00 1.796E-05 1.478E-01 4.154E-05 5.165E-05 7.199E-05 4.265E-04 3.684E+00 7 6.83 3.00 8.268E-06 2.810E-02 1.232E-05 1.443E-05 1.856E-05 9.720E-04 3.191E+00 9 9.11 4.00 5.666E-06 5.289E-03 5.770E-06 6.194E-06 7.000E-06 3.315E-03 2.929E+00 11 11.39 5.00 4.584E-06 9.950E-04 4.030E-06 4.113E-06 4.265E-06 1.312E-02 2.866E+00 13 13.66 6.00 3.879E-06 1.897E-04 3.321E-06 3.337E-06 3.365E-06 4.954E-02 2.870E+00 15 15.94 7.00 3.312E-06 3.863E-05 2.857E-06 2.860E-06 2.865E-06 1.396E-01 2.887E+00 17 18.22 8.00 2.831E-06 9.949E-06 2.474E-06 2.475E-06 2.476E-06 2.378E-01 2.906E+00 19 20.50 9.00 2.416E-06 4.187E-06 2.140E-06 2.140E-06 2.141E-06 2.815E-01 2.923E+00 21 22.77 10.00 2.059E-06 2.766E-06 1.846E-06 1.846E-06 1.846E-06 2.923E-01 2.938E+00 Waveband 38 of 40 completed in 7.7 sec. * * * * * Output for wavelength band 39 (730.0 to 740.0 nm; nominal wavelength = 735.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 16.9 m at 735.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 730.0 nm to 740.0 nm: Ed(diffuse) = 1.813E-01 Ed(direct) = 9.237E-01 Ed(total) = 1.105E+00 Absorption Coefficients of Individual Components at 735.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 2.1289 0.0000 0.0000 0.0003 2.1292 3 2.917 1.000 2.1289 0.0000 0.0000 0.0003 2.1292 5 5.834 2.000 2.1289 0.0000 0.0000 0.0003 2.1292 7 8.751 3.000 2.1289 0.0000 0.0000 0.0003 2.1292 9 11.668 4.000 2.1289 0.0000 0.0000 0.0003 2.1292 11 14.585 5.000 2.1289 0.0000 0.0000 0.0003 2.1292 13 17.503 6.000 2.1289 0.0000 0.0000 0.0003 2.1292 15 20.420 7.000 2.1289 0.0000 0.0000 0.0003 2.1292 17 23.337 8.000 2.1289 0.0000 0.0000 0.0003 2.1292 19 26.254 9.000 2.1289 0.0000 0.0000 0.0003 2.1292 21 29.171 10.000 2.1289 0.0000 0.0000 0.0003 2.1292 Scattering Coefficients of Individual Components at 735.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0005 0.2757 0.5116 0.0000 0.7879 3 2.917 1.000 0.0005 0.2757 0.5116 0.0000 0.7879 5 5.834 2.000 0.0005 0.2757 0.5116 0.0000 0.7879 7 8.751 3.000 0.0005 0.2757 0.5116 0.0000 0.7879 9 11.668 4.000 0.0005 0.2757 0.5116 0.0000 0.7879 11 14.585 5.000 0.0005 0.2757 0.5116 0.0000 0.7879 13 17.503 6.000 0.0005 0.2757 0.5116 0.0000 0.7879 15 20.420 7.000 0.0005 0.2757 0.5116 0.0000 0.7879 17 23.337 8.000 0.0005 0.2757 0.5116 0.0000 0.7879 19 26.254 9.000 0.0005 0.2757 0.5116 0.0000 0.7879 21 29.171 10.000 0.0005 0.2757 0.5116 0.0000 0.7879 Backscattering Coefficients of Individual Components at 735.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00027 0.00387 0.00090 0.00000 0.00504 3 2.917 1.000 0.00027 0.00387 0.00090 0.00000 0.00504 5 5.834 2.000 0.00027 0.00387 0.00090 0.00000 0.00504 7 8.751 3.000 0.00027 0.00387 0.00090 0.00000 0.00504 9 11.668 4.000 0.00027 0.00387 0.00090 0.00000 0.00504 11 14.585 5.000 0.00027 0.00387 0.00090 0.00000 0.00504 13 17.503 6.000 0.00027 0.00387 0.00090 0.00000 0.00504 15 20.420 7.000 0.00027 0.00387 0.00090 0.00000 0.00504 17 23.337 8.000 0.00027 0.00387 0.00090 0.00000 0.00504 19 26.254 9.000 0.00027 0.00387 0.00090 0.00000 0.00504 21 29.171 10.000 0.00027 0.00387 0.00090 0.00000 0.00504 Summary of Inherent Optical Properties at 735.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 2.1292 0.7879 2.9171 0.2701 0.00504 0.00640 3 2.917 1.000 2.1292 0.7879 2.9171 0.2701 0.00504 0.00640 5 5.834 2.000 2.1292 0.7879 2.9171 0.2701 0.00504 0.00640 7 8.751 3.000 2.1292 0.7879 2.9171 0.2701 0.00504 0.00640 9 11.668 4.000 2.1292 0.7879 2.9171 0.2701 0.00504 0.00640 11 14.585 5.000 2.1292 0.7879 2.9171 0.2701 0.00504 0.00640 13 17.503 6.000 2.1292 0.7879 2.9171 0.2701 0.00504 0.00640 15 20.420 7.000 2.1292 0.7879 2.9171 0.2701 0.00504 0.00640 17 23.337 8.000 2.1292 0.7879 2.9171 0.2701 0.00504 0.00640 19 26.254 9.000 2.1292 0.7879 2.9171 0.2701 0.00504 0.00640 21 29.171 10.000 2.1292 0.7879 2.9171 0.2701 0.00504 0.00640 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 7.4570E-01 8 20.00 3.5098E-01 7 30.00 1.1938E-01 6 40.00 3.4549E-02 5 50.00 9.9885E-03 4 60.00 3.2795E-03 3 70.00 1.2918E-03 2 80.00 6.0218E-04 1 87.50 3.6838E-04 1 92.50 2.7441E-04 2 100.00 1.9106E-04 3 110.00 1.3100E-04 4 120.00 1.0062E-04 5 130.00 8.4712E-05 6 140.00 7.6066E-05 7 150.00 7.1295E-05 8 160.00 6.8727E-05 9 170.00 6.7479E-05 10 180.00 6.7048E-05 Asymptotic AOP values are MUu(inf) = 0.3720 MUd(inf) = 0.9201 MU(inf) = 0.9176 R(inf) = 0.0008 Lu(inf)/Ed(inf) = 0.000182 (1/sr) k(inf) = 2.3208 (1/m) absorp(check) = 2.1294 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 735.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 8.5488E-02 1.2772E+00 1.3627E+00 3.1193E-02 1.1050E+00 0.3649 0.8651 0.7880 2.8230E-02 1 0.00 0.00 2.0443E-03 1.1179E+00 1.1200E+00 8.0826E-04 1.0760E+00 0.3954 0.9625 0.9600 7.5114E-04 3 2.92 1.00 2.5153E-04 1.2124E-01 1.2149E-01 1.0039E-04 1.1528E-01 0.3991 0.9509 0.9481 8.7084E-04 5 5.83 2.00 4.6056E-05 1.2849E-02 1.2895E-02 2.0765E-05 1.2121E-02 0.4509 0.9433 0.9383 1.7131E-03 7 8.75 3.00 2.1272E-05 1.3554E-03 1.3767E-03 1.0789E-05 1.2639E-03 0.5072 0.9325 0.9103 8.5362E-03 9 11.67 4.00 1.6239E-05 1.5447E-04 1.7071E-04 8.4358E-06 1.3739E-04 0.5195 0.8894 0.7554 6.1401E-02 11 14.59 5.00 1.3592E-05 2.8673E-05 4.2265E-05 7.0565E-06 2.0829E-05 0.5191 0.7264 0.3259 3.3879E-01 13 17.50 6.00 1.1475E-05 1.3880E-05 2.5355E-05 5.9370E-06 7.9314E-06 0.5174 0.5714 0.0787 7.4855E-01 15 20.42 7.00 9.6685E-06 1.0665E-05 2.0334E-05 4.9863E-06 5.7047E-06 0.5157 0.5349 0.0353 8.7407E-01 17 23.34 8.00 8.1239E-06 8.8657E-06 1.6990E-05 4.1780E-06 4.6893E-06 0.5143 0.5289 0.0301 8.9096E-01 19 26.25 9.00 6.8089E-06 7.4261E-06 1.4235E-05 3.4934E-06 3.9154E-06 0.5131 0.5272 0.0296 8.9223E-01 21 29.17 10.00 5.6942E-06 6.2139E-06 1.1908E-05 2.9155E-06 3.2698E-06 0.5120 0.5262 0.0298 8.9165E-01 K-functions (units of 1/meter) at 735.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 1.97079 2.18865 2.18825 2.10188 2.21794 2.21803 2.14921 1.000 1.010 1.005 2.01215 2.23627 2.23581 1.95079 2.24460 2.24485 1.83400 2.000 2.010 2.005 1.24744 2.25075 2.24715 1.08455 2.25898 2.26101 0.87580 3.000 3.010 3.005 0.40759 2.23743 2.20890 0.35002 2.25623 2.27280 0.30006 4.000 4.010 4.005 0.19697 2.04090 1.86402 0.19231 2.14068 2.26948 0.19487 5.000 5.010 5.005 0.17137 1.19165 0.86240 0.17414 1.48646 2.16559 0.18273 6.000 6.010 6.005 0.17130 0.38063 0.28584 0.17446 0.51764 1.54629 0.18260 7.000 7.010 7.005 0.17392 0.19830 0.18671 0.17670 0.22167 0.53432 0.18377 8.000 8.010 8.005 0.17648 0.17677 0.17663 0.17886 0.18185 0.20632 0.18494 9.000 9.010 9.005 0.17870 0.17643 0.17752 0.18072 0.17892 0.16400 0.18597 10.000 10.010 10.005 0.18085 0.17826 0.17950 0.18257 0.18019 0.16056 0.18702 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 735.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.91956E-01 1.08528E-04 4.03920E-03 4.14772E-03 9.82187E-05 0.021042 9 1 10.0 0.0 180.0 8.41587E-02 1.09891E-04 1.77638E-03 1.88627E-03 9.94526E-05 0.021108 9 4 10.0 45.0 135.0 9.40943E-02 1.09151E-04 1.98679E-03 2.09595E-03 9.87832E-05 0.021115 9 7 10.0 90.0 90.0 1.31211E-01 1.08227E-04 2.77183E-03 2.88005E-03 9.79465E-05 0.021125 8 1 20.0 0.0 180.0 5.03116E-02 1.10739E-04 1.07385E-03 1.18458E-03 1.00220E-04 0.021344 8 4 20.0 45.0 135.0 5.61420E-02 1.09691E-04 1.19827E-03 1.30796E-03 9.92720E-05 0.021344 8 7 20.0 90.0 90.0 7.88978E-02 1.08683E-04 1.68400E-03 1.79268E-03 9.83596E-05 0.021344 7 1 30.0 0.0 180.0 3.54492E-02 1.12847E-04 7.91510E-04 9.04357E-04 1.02128E-04 0.022328 7 4 30.0 45.0 135.0 3.87124E-02 1.12375E-04 8.64376E-04 9.76751E-04 1.01701E-04 0.022328 7 7 30.0 90.0 90.0 5.08892E-02 1.11534E-04 1.13612E-03 1.24766E-03 1.00939E-04 0.022325 6 1 40.0 0.0 180.0 2.91204E-02 1.12741E-04 7.47152E-04 8.59894E-04 1.02032E-04 0.025657 6 4 40.0 45.0 135.0 3.11787E-02 1.12154E-04 8.00034E-04 9.12188E-04 1.01500E-04 0.025660 6 7 40.0 90.0 90.0 3.82744E-02 1.10630E-04 9.82090E-04 1.09272E-03 1.00122E-04 0.025659 5 1 50.0 0.0 180.0 2.69720E-02 1.14842E-04 9.57033E-04 1.07187E-03 1.03933E-04 0.035482 5 4 50.0 45.0 135.0 2.84872E-02 1.14042E-04 1.01137E-03 1.12542E-03 1.03209E-04 0.035503 5 7 50.0 90.0 90.0 3.33544E-02 1.13785E-04 1.18412E-03 1.29790E-03 1.02976E-04 0.035501 4 1 60.0 0.0 180.0 2.79761E-02 1.14636E-04 1.76831E-03 1.88295E-03 1.03747E-04 0.063208 4 4 60.0 45.0 135.0 2.91858E-02 1.14533E-04 1.84476E-03 1.95929E-03 1.03654E-04 0.063207 4 7 60.0 90.0 90.0 3.30210E-02 1.13272E-04 2.08691E-03 2.20018E-03 1.02512E-04 0.063199 3 1 70.0 0.0 180.0 3.35514E-02 1.09833E-04 4.74642E-03 4.85625E-03 9.94004E-05 0.141467 3 4 70.0 45.0 135.0 3.44381E-02 1.08947E-04 4.86577E-03 4.97472E-03 9.85979E-05 0.141290 3 7 70.0 90.0 90.0 3.75578E-02 1.08597E-04 5.31195E-03 5.42054E-03 9.82816E-05 0.141434 2 1 80.0 0.0 180.0 5.00332E-02 8.14695E-05 1.83914E-02 1.84729E-02 7.37308E-05 0.367584 2 4 80.0 45.0 135.0 5.02746E-02 8.13446E-05 1.84679E-02 1.85492E-02 7.36178E-05 0.367340 2 7 80.0 90.0 90.0 5.22724E-02 8.16940E-05 1.92160E-02 1.92977E-02 7.39339E-05 0.367613 1 1 87.5 0.0 180.0 7.54265E-02 3.69470E-05 5.83127E-02 5.83496E-02 3.34374E-05 0.773106 1 4 87.5 45.0 135.0 7.45232E-02 3.82086E-05 5.76171E-02 5.76553E-02 3.45792E-05 0.773143 1 7 87.5 90.0 90.0 7.43847E-02 3.79752E-05 5.74674E-02 5.75054E-02 3.43679E-05 0.772570 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 735.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 4.148E-03 1.920E-01 6.689E-02 6.595E-02 7.038E-02 3.754E-03 7.520E+00 1.085E-04 9.822E-05 1 0.00 0.00 1.996E-04 4.098E+00 4.946E-04 5.967E-04 8.163E-04 1.855E-04 4.050E+00 3 2.92 1.00 2.586E-05 4.361E-01 6.795E-05 8.540E-05 1.216E-04 2.243E-04 3.882E+00 5 5.83 2.00 6.456E-06 4.441E-02 1.009E-05 1.202E-05 1.593E-05 5.327E-04 3.216E+00 7 8.75 3.00 3.813E-06 4.421E-03 3.460E-06 3.662E-06 4.059E-06 3.017E-03 2.829E+00 9 11.67 4.00 3.028E-06 4.373E-04 2.424E-06 2.444E-06 2.483E-06 2.204E-02 2.786E+00 11 14.59 5.00 2.515E-06 4.528E-05 2.021E-06 2.023E-06 2.027E-06 1.207E-01 2.806E+00 13 17.50 6.00 2.097E-06 6.594E-06 1.719E-06 1.719E-06 1.719E-06 2.644E-01 2.831E+00 15 20.42 7.00 1.747E-06 2.467E-06 1.459E-06 1.459E-06 1.459E-06 3.062E-01 2.854E+00 17 23.34 8.00 1.454E-06 1.761E-06 1.234E-06 1.234E-06 1.234E-06 3.100E-01 2.874E+00 19 26.25 9.00 1.208E-06 1.437E-06 1.040E-06 1.040E-06 1.040E-06 3.086E-01 2.892E+00 21 29.17 10.00 1.003E-06 1.191E-06 8.740E-07 8.740E-07 8.740E-07 3.068E-01 2.907E+00 Waveband 39 of 40 completed in 9.3 sec. * * * * * Output for wavelength band 40 (740.0 to 750.0 nm; nominal wavelength = 745.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 16.2 m at 745.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 740.0 nm to 750.0 nm: Ed(diffuse) = 1.872E-01 Ed(direct) = 9.744E-01 Ed(total) = 1.162E+00 Absorption Coefficients of Individual Components at 745.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 2.4590 0.0000 0.0000 0.0002 2.4592 3 3.247 1.000 2.4590 0.0000 0.0000 0.0002 2.4592 5 6.494 2.000 2.4590 0.0000 0.0000 0.0002 2.4592 7 9.741 3.000 2.4590 0.0000 0.0000 0.0002 2.4592 9 12.989 4.000 2.4590 0.0000 0.0000 0.0002 2.4592 11 16.236 5.000 2.4590 0.0000 0.0000 0.0002 2.4592 13 19.483 6.000 2.4590 0.0000 0.0000 0.0002 2.4592 15 22.730 7.000 2.4590 0.0000 0.0000 0.0002 2.4592 17 25.977 8.000 2.4590 0.0000 0.0000 0.0002 2.4592 19 29.224 9.000 2.4590 0.0000 0.0000 0.0002 2.4592 21 32.471 10.000 2.4590 0.0000 0.0000 0.0002 2.4592 Scattering Coefficients of Individual Components at 745.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0005 0.2757 0.5116 0.0000 0.7879 3 3.247 1.000 0.0005 0.2757 0.5116 0.0000 0.7879 5 6.494 2.000 0.0005 0.2757 0.5116 0.0000 0.7879 7 9.741 3.000 0.0005 0.2757 0.5116 0.0000 0.7879 9 12.989 4.000 0.0005 0.2757 0.5116 0.0000 0.7879 11 16.236 5.000 0.0005 0.2757 0.5116 0.0000 0.7879 13 19.483 6.000 0.0005 0.2757 0.5116 0.0000 0.7879 15 22.730 7.000 0.0005 0.2757 0.5116 0.0000 0.7879 17 25.977 8.000 0.0005 0.2757 0.5116 0.0000 0.7879 19 29.224 9.000 0.0005 0.2757 0.5116 0.0000 0.7879 21 32.471 10.000 0.0005 0.2757 0.5116 0.0000 0.7879 Backscattering Coefficients of Individual Components at 745.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00026 0.00387 0.00090 0.00000 0.00502 3 3.247 1.000 0.00026 0.00387 0.00090 0.00000 0.00502 5 6.494 2.000 0.00026 0.00387 0.00090 0.00000 0.00502 7 9.741 3.000 0.00026 0.00387 0.00090 0.00000 0.00502 9 12.989 4.000 0.00026 0.00387 0.00090 0.00000 0.00502 11 16.236 5.000 0.00026 0.00387 0.00090 0.00000 0.00502 13 19.483 6.000 0.00026 0.00387 0.00090 0.00000 0.00502 15 22.730 7.000 0.00026 0.00387 0.00090 0.00000 0.00502 17 25.977 8.000 0.00026 0.00387 0.00090 0.00000 0.00502 19 29.224 9.000 0.00026 0.00387 0.00090 0.00000 0.00502 21 32.471 10.000 0.00026 0.00387 0.00090 0.00000 0.00502 Summary of Inherent Optical Properties at 745.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 2.4592 0.7879 3.2471 0.2426 0.00502 0.00638 3 3.247 1.000 2.4592 0.7879 3.2471 0.2426 0.00502 0.00638 5 6.494 2.000 2.4592 0.7879 3.2471 0.2426 0.00502 0.00638 7 9.741 3.000 2.4592 0.7879 3.2471 0.2426 0.00502 0.00638 9 12.989 4.000 2.4592 0.7879 3.2471 0.2426 0.00502 0.00638 11 16.236 5.000 2.4592 0.7879 3.2471 0.2426 0.00502 0.00638 13 19.483 6.000 2.4592 0.7879 3.2471 0.2426 0.00502 0.00638 15 22.730 7.000 2.4592 0.7879 3.2471 0.2426 0.00502 0.00638 17 25.977 8.000 2.4592 0.7879 3.2471 0.2426 0.00502 0.00638 19 29.224 9.000 2.4592 0.7879 3.2471 0.2426 0.00502 0.00638 21 32.471 10.000 2.4592 0.7879 3.2471 0.2426 0.00502 0.00638 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 7.2405E-01 8 20.00 3.1860E-01 7 30.00 1.0028E-01 6 40.00 2.7188E-02 5 50.00 7.5680E-03 4 60.00 2.4622E-03 3 70.00 9.7664E-04 2 80.00 4.5916E-04 1 87.50 2.8216E-04 1 92.50 2.1091E-04 2 100.00 1.4737E-04 3 110.00 1.0156E-04 4 120.00 7.8456E-05 5 130.00 6.6351E-05 6 140.00 5.9768E-05 7 150.00 5.6137E-05 8 160.00 5.4191E-05 9 170.00 5.3250E-05 10 180.00 5.2925E-05 Asymptotic AOP values are MUu(inf) = 0.3744 MUd(inf) = 0.9262 MU(inf) = 0.9240 R(inf) = 0.0007 Lu(inf)/Ed(inf) = 0.000156 (1/sr) k(inf) = 2.6620 (1/m) absorp(check) = 2.4596 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 745.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 8.8656E-02 1.3400E+00 1.4287E+00 3.2604E-02 1.1617E+00 0.3678 0.8669 0.7903 2.8067E-02 1 0.00 0.00 1.8482E-03 1.1748E+00 1.1767E+00 7.2960E-04 1.1313E+00 0.3948 0.9630 0.9609 6.4491E-04 3 3.25 1.00 1.6385E-04 9.0384E-02 9.0548E-02 6.5922E-05 8.6123E-02 0.4023 0.9529 0.9504 7.6544E-04 5 6.49 2.00 2.6851E-05 6.8051E-03 6.8320E-03 1.2590E-05 6.4354E-03 0.4689 0.9457 0.9401 1.9563E-03 7 9.74 3.00 1.3880E-05 5.1566E-04 5.2954E-04 7.1726E-06 4.7984E-04 0.5168 0.9305 0.8926 1.4948E-02 9 12.99 4.00 1.0763E-05 4.8216E-05 5.8980E-05 5.6151E-06 4.0531E-05 0.5217 0.8406 0.5920 1.3854E-01 11 16.24 5.00 8.7490E-06 1.2180E-05 2.0929E-05 4.5508E-06 7.5650E-06 0.5201 0.6211 0.1440 6.0155E-01 13 19.48 6.00 7.5579E-06 7.9730E-06 1.5531E-05 3.8264E-06 4.3185E-06 0.5063 0.5416 0.0317 8.8606E-01 15 22.73 7.00 5.7841E-06 6.3361E-06 1.2120E-05 2.9863E-06 3.3687E-06 0.5163 0.5317 0.0315 8.8650E-01 17 25.98 8.00 4.6927E-06 5.1316E-06 9.8243E-06 2.4159E-06 2.7167E-06 0.5148 0.5294 0.0306 8.8928E-01 19 29.22 9.00 3.8028E-06 4.1580E-06 7.9608E-06 1.9529E-06 2.1957E-06 0.5136 0.5281 0.0305 8.8944E-01 21 32.47 10.00 3.0790E-06 3.3666E-06 6.4456E-06 1.5778E-06 1.7740E-06 0.5125 0.5269 0.0304 8.8941E-01 K-functions (units of 1/meter) at 745.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 2.31819 2.53213 2.53180 2.44654 2.55963 2.55970 2.49060 1.000 1.010 1.005 2.28624 2.57869 2.57816 2.20293 2.58611 2.58641 2.04889 2.000 2.010 2.005 1.16673 2.59121 2.58558 0.99332 2.59983 2.60300 0.78969 3.000 3.010 3.005 0.33952 2.54507 2.48664 0.30800 2.57822 2.61307 0.28518 4.000 4.010 4.005 0.21615 2.03156 1.69779 0.21716 2.24941 2.58013 0.22491 5.000 5.010 5.005 0.20518 0.72277 0.50608 0.20796 0.99072 2.18422 0.21547 6.000 6.010 6.005 -1.56049 0.21611 -0.65239 -0.11681 0.29961 3.59836 0.15365 7.000 7.010 7.005 0.20967 0.21193 0.21085 0.21255 0.21899 0.26925 0.21984 8.000 8.010 8.005 0.21091 0.20893 0.20988 0.21337 0.21208 0.20172 0.21970 9.000 9.010 9.005 0.21176 0.20975 0.21071 0.21389 0.21222 0.19881 0.21942 10.000 10.010 10.005 0.21258 0.21054 0.21152 0.21441 0.21270 0.19897 0.21918 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 745.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.98273E-01 9.79242E-05 4.17212E-03 4.27004E-03 8.42975E-05 0.021042 9 1 10.0 0.0 180.0 8.69282E-02 9.91752E-05 1.83482E-03 1.93400E-03 8.53744E-05 0.021107 9 4 10.0 45.0 135.0 9.71921E-02 9.84903E-05 2.05220E-03 2.15069E-03 8.47848E-05 0.021115 9 7 10.0 90.0 90.0 1.35520E-01 9.76510E-05 2.86289E-03 2.96054E-03 8.40623E-05 0.021125 8 1 20.0 0.0 180.0 5.19672E-02 9.99389E-05 1.10918E-03 1.20912E-03 8.60319E-05 0.021344 8 4 20.0 45.0 135.0 5.79895E-02 9.89806E-05 1.23770E-03 1.33668E-03 8.52069E-05 0.021344 8 7 20.0 90.0 90.0 8.14942E-02 9.80629E-05 1.73941E-03 1.83748E-03 8.44169E-05 0.021344 7 1 30.0 0.0 180.0 3.66158E-02 1.01838E-04 8.17557E-04 9.19395E-04 8.76663E-05 0.022328 7 4 30.0 45.0 135.0 3.99864E-02 1.01405E-04 8.92821E-04 9.94226E-04 8.72940E-05 0.022328 7 7 30.0 90.0 90.0 5.25639E-02 1.00635E-04 1.17351E-03 1.27415E-03 8.66308E-05 0.022325 6 1 40.0 0.0 180.0 3.00787E-02 1.01746E-04 7.71740E-04 8.73486E-04 8.75875E-05 0.025657 6 4 40.0 45.0 135.0 3.22047E-02 1.01209E-04 8.26362E-04 9.27571E-04 8.71256E-05 0.025660 6 7 40.0 90.0 90.0 3.95340E-02 9.98171E-05 1.01441E-03 1.11423E-03 8.59270E-05 0.025659 5 1 50.0 0.0 180.0 2.78596E-02 1.03642E-04 9.88528E-04 1.09217E-03 8.92200E-05 0.035482 5 4 50.0 45.0 135.0 2.94247E-02 1.02913E-04 1.04466E-03 1.14757E-03 8.85923E-05 0.035503 5 7 50.0 90.0 90.0 3.44521E-02 1.02664E-04 1.22308E-03 1.32575E-03 8.83775E-05 0.035501 4 1 60.0 0.0 180.0 2.88968E-02 1.03457E-04 1.82651E-03 1.92996E-03 8.90607E-05 0.063208 4 4 60.0 45.0 135.0 3.01463E-02 1.03356E-04 1.90547E-03 2.00882E-03 8.89737E-05 0.063207 4 7 60.0 90.0 90.0 3.41077E-02 1.02202E-04 2.15558E-03 2.25778E-03 8.79798E-05 0.063199 3 1 70.0 0.0 180.0 3.46555E-02 9.91230E-05 4.90261E-03 5.00174E-03 8.53295E-05 0.141467 3 4 70.0 45.0 135.0 3.55714E-02 9.83154E-05 5.02589E-03 5.12421E-03 8.46342E-05 0.141290 3 7 70.0 90.0 90.0 3.87937E-02 9.79846E-05 5.48675E-03 5.58474E-03 8.43495E-05 0.141434 2 1 80.0 0.0 180.0 5.16797E-02 7.35242E-05 1.89967E-02 1.90702E-02 6.32929E-05 0.367584 2 4 80.0 45.0 135.0 5.19291E-02 7.34078E-05 1.90756E-02 1.91490E-02 6.31927E-05 0.367340 2 7 80.0 90.0 90.0 5.39926E-02 7.37120E-05 1.98484E-02 1.99221E-02 6.34546E-05 0.367613 1 1 87.5 0.0 180.0 7.79086E-02 3.33437E-05 6.02317E-02 6.02650E-02 2.87038E-05 0.773106 1 4 87.5 45.0 135.0 7.69756E-02 3.44806E-05 5.95131E-02 5.95476E-02 2.96824E-05 0.773143 1 7 87.5 90.0 90.0 7.68325E-02 3.42648E-05 5.93585E-02 5.93928E-02 2.94966E-05 0.772570 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 745.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 4.270E-03 1.983E-01 6.909E-02 6.811E-02 7.269E-02 3.676E-03 7.635E+00 9.792E-05 8.430E-05 1 0.00 0.00 1.801E-04 4.316E+00 4.489E-04 5.424E-04 7.438E-04 1.592E-04 4.052E+00 3 3.25 1.00 1.724E-05 3.297E-01 4.367E-05 5.483E-05 7.806E-05 2.001E-04 3.825E+00 5 6.49 2.00 4.120E-06 2.407E-02 5.408E-06 6.275E-06 8.038E-06 6.402E-04 3.056E+00 7 9.74 3.00 2.589E-06 1.717E-03 2.128E-06 2.192E-06 2.317E-06 5.395E-03 2.771E+00 9 12.99 4.00 2.029E-06 1.228E-04 1.586E-06 1.590E-06 1.599E-06 5.007E-02 2.767E+00 11 16.24 5.00 1.630E-06 1.034E-05 1.296E-06 1.296E-06 1.297E-06 2.154E-01 2.792E+00 13 19.48 6.00 1.340E-06 2.141E-06 1.196E-06 1.196E-06 1.196E-06 3.102E-01 2.856E+00 15 22.73 7.00 1.050E-06 1.291E-06 8.714E-07 8.714E-07 8.714E-07 3.116E-01 2.845E+00 17 25.98 8.00 8.432E-07 1.008E-06 7.116E-07 7.116E-07 7.116E-07 3.104E-01 2.865E+00 19 29.22 9.00 6.773E-07 8.073E-07 5.799E-07 5.799E-07 5.799E-07 3.085E-01 2.883E+00 21 32.47 10.00 5.442E-07 6.484E-07 4.718E-07 4.718E-07 4.718E-07 3.068E-01 2.899E+00 Waveband 40 of 40 completed in 9.9 sec. Energy Eo as a function of depth and wavelength Units are W/m^2 [values are integrated over the wavelength bands] depth 355.0 365.0 375.0 385.0 395.0 405.0 415.0 425.0 435.0 445.0 455.0 465.0 475.0 485.0 495.0 505.0 515.0 525.0 535.0 545.0 555.0 565.0 575.0 585.0 595.0 605.0 615.0 625.0 635.0 645.0 655.0 665.0 675.0 685.0 695.0 705.0 715.0 725.0 735.0 745.0 in air 1.131E+01 1.291E+01 1.276E+01 1.115E+01 1.364E+01 1.903E+01 1.995E+01 1.891E+01 1.924E+01 2.249E+01 2.386E+01 2.356E+01 2.374E+01 2.283E+01 2.301E+01 2.244E+01 2.142E+01 2.177E+01 2.188E+01 2.144E+01 2.117E+01 2.087E+01 2.074E+01 2.008E+01 1.921E+01 1.954E+01 1.898E+01 1.870E+01 1.839E+01 1.776E+01 1.690E+01 1.750E+01 1.713E+01 1.572E+01 1.511E+01 1.513E+01 1.387E+01 1.256E+01 1.363E+01 1.429E+01 0.0 7.796E+00 9.117E+00 9.152E+00 8.101E+00 1.006E+01 1.421E+01 1.503E+01 1.438E+01 1.475E+01 1.742E+01 1.872E+01 1.871E+01 1.909E+01 1.857E+01 1.891E+01 1.856E+01 1.768E+01 1.813E+01 1.834E+01 1.801E+01 1.776E+01 1.757E+01 1.735E+01 1.653E+01 1.561E+01 1.574E+01 1.533E+01 1.514E+01 1.492E+01 1.444E+01 1.376E+01 1.427E+01 1.407E+01 1.295E+01 1.241E+01 1.241E+01 1.137E+01 1.031E+01 1.120E+01 1.177E+01 1.0 6.735E+00 8.056E+00 8.146E+00 7.252E+00 9.063E+00 1.287E+01 1.361E+01 1.305E+01 1.340E+01 1.592E+01 1.726E+01 1.738E+01 1.786E+01 1.747E+01 1.786E+01 1.755E+01 1.662E+01 1.712E+01 1.734E+01 1.700E+01 1.669E+01 1.649E+01 1.609E+01 1.480E+01 1.314E+01 1.202E+01 1.158E+01 1.124E+01 1.086E+01 1.023E+01 9.261E+00 8.938E+00 8.602E+00 7.713E+00 6.926E+00 5.971E+00 3.993E+00 2.183E+00 1.215E+00 9.055E-01 2.0 5.723E+00 7.013E+00 7.147E+00 6.402E+00 8.058E+00 1.151E+01 1.217E+01 1.170E+01 1.202E+01 1.437E+01 1.573E+01 1.596E+01 1.654E+01 1.628E+01 1.672E+01 1.645E+01 1.548E+01 1.602E+01 1.626E+01 1.590E+01 1.554E+01 1.534E+01 1.477E+01 1.309E+01 1.091E+01 9.025E+00 8.589E+00 8.192E+00 7.756E+00 7.122E+00 6.114E+00 5.486E+00 5.161E+00 4.511E+00 3.786E+00 2.807E+00 1.368E+00 4.511E-01 1.290E-01 6.832E-02 3.0 4.810E+00 6.040E+00 6.206E+00 5.595E+00 7.094E+00 1.019E+01 1.077E+01 1.039E+01 1.069E+01 1.286E+01 1.422E+01 1.454E+01 1.519E+01 1.505E+01 1.552E+01 1.530E+01 1.430E+01 1.488E+01 1.513E+01 1.476E+01 1.436E+01 1.415E+01 1.345E+01 1.148E+01 8.959E+00 6.701E+00 6.301E+00 5.905E+00 5.477E+00 4.898E+00 3.988E+00 3.328E+00 3.068E+00 2.615E+00 2.046E+00 1.302E+00 4.626E-01 9.216E-02 1.377E-02 5.295E-03 4.0 4.010E+00 5.161E+00 5.347E+00 4.852E+00 6.197E+00 8.954E+00 9.471E+00 9.165E+00 9.430E+00 1.143E+01 1.276E+01 1.315E+01 1.385E+01 1.382E+01 1.432E+01 1.414E+01 1.313E+01 1.372E+01 1.398E+01 1.362E+01 1.318E+01 1.298E+01 1.217E+01 9.990E+00 7.302E+00 4.932E+00 4.583E+00 4.218E+00 3.833E+00 3.338E+00 2.577E+00 2.001E+00 1.816E+00 1.512E+00 1.098E+00 5.987E-01 1.550E-01 1.895E-02 1.707E-03 5.898E-04 5.0 3.321E+00 4.382E+00 4.577E+00 4.181E+00 5.381E+00 7.820E+00 8.273E+00 8.031E+00 8.270E+00 1.009E+01 1.138E+01 1.183E+01 1.256E+01 1.262E+01 1.314E+01 1.299E+01 1.198E+01 1.259E+01 1.285E+01 1.249E+01 1.203E+01 1.183E+01 1.094E+01 8.641E+00 5.911E+00 3.604E+00 3.309E+00 2.991E+00 2.663E+00 2.258E+00 1.653E+00 1.196E+00 1.075E+00 8.765E-01 5.880E-01 2.737E-01 5.180E-02 4.168E-03 4.227E-04 2.093E-04 6.0 2.736E+00 3.701E+00 3.898E+00 3.584E+00 4.647E+00 6.793E+00 7.189E+00 7.000E+00 7.215E+00 8.865E+00 1.010E+01 1.058E+01 1.133E+01 1.146E+01 1.200E+01 1.188E+01 1.088E+01 1.149E+01 1.176E+01 1.140E+01 1.092E+01 1.073E+01 9.789E+00 7.432E+00 4.757E+00 2.618E+00 2.374E+00 2.108E+00 1.838E+00 1.517E+00 1.053E+00 7.122E-01 6.399E-01 5.131E-01 3.156E-01 1.250E-01 1.751E-02 1.171E-03 2.535E-04 1.553E-04 7.0 2.245E+00 3.112E+00 3.304E+00 3.058E+00 3.995E+00 5.875E+00 6.218E+00 6.073E+00 6.265E+00 7.750E+00 8.918E+00 9.420E+00 1.018E+01 1.037E+01 1.090E+01 1.081E+01 9.836E+00 1.044E+01 1.070E+01 1.036E+01 9.874E+00 9.687E+00 8.716E+00 6.361E+00 3.809E+00 1.891E+00 1.695E+00 1.478E+00 1.262E+00 1.014E+00 6.680E-01 4.235E-01 3.857E-01 3.059E-01 1.710E-01 5.740E-02 6.175E-03 5.325E-04 2.033E-04 1.212E-04 8.0 1.834E+00 2.606E+00 2.790E+00 2.599E+00 3.421E+00 5.060E+00 5.356E+00 5.247E+00 5.418E+00 6.748E+00 7.844E+00 8.354E+00 9.105E+00 9.335E+00 9.866E+00 9.800E+00 8.855E+00 9.449E+00 9.706E+00 9.371E+00 8.888E+00 8.708E+00 7.727E+00 5.421E+00 3.036E+00 1.360E+00 1.204E+00 1.031E+00 8.623E-01 6.750E-01 4.218E-01 2.523E-01 2.374E-01 1.877E-01 9.453E-02 2.684E-02 2.413E-03 3.661E-04 1.699E-04 9.824E-05 9.0 1.494E+00 2.176E+00 2.348E+00 2.202E+00 2.919E+00 4.342E+00 4.597E+00 4.517E+00 4.668E+00 5.854E+00 6.874E+00 7.381E+00 8.114E+00 8.376E+00 8.896E+00 8.850E+00 7.941E+00 8.518E+00 8.769E+00 8.447E+00 7.970E+00 7.799E+00 6.824E+00 4.601E+00 2.410E+00 9.744E-01 8.520E-01 7.165E-01 5.870E-01 4.475E-01 2.656E-01 1.511E-01 1.505E-01 1.199E-01 5.401E-02 1.302E-02 1.141E-03 2.971E-04 1.424E-04 7.961E-05 10.0 1.213E+00 1.811E+00 1.970E+00 1.859E+00 2.482E+00 3.715E+00 3.933E+00 3.877E+00 4.009E+00 5.062E+00 6.004E+00 6.499E+00 7.207E+00 7.491E+00 7.995E+00 7.966E+00 7.098E+00 7.653E+00 7.894E+00 7.587E+00 7.122E+00 6.961E+00 6.006E+00 3.891E+00 1.906E+00 6.957E-01 6.009E-01 4.964E-01 3.984E-01 2.958E-01 1.669E-01 9.153E-02 9.916E-02 8.036E-02 3.239E-02 6.738E-03 6.845E-04 2.517E-04 1.191E-04 6.446E-05 Quantum Eo as a function of depth and wavelength Units are (micromol photons)/(m^2 s) [values are integrated over the wavelength bands] depth 355.0 365.0 375.0 385.0 395.0 405.0 415.0 425.0 435.0 445.0 455.0 465.0 475.0 485.0 495.0 505.0 515.0 525.0 535.0 545.0 555.0 565.0 575.0 585.0 595.0 605.0 615.0 625.0 635.0 645.0 655.0 665.0 675.0 685.0 695.0 705.0 715.0 725.0 735.0 745.0 in air 3.356E+01 3.938E+01 4.001E+01 3.586E+01 4.503E+01 6.442E+01 6.921E+01 6.718E+01 6.995E+01 8.365E+01 9.073E+01 9.157E+01 9.423E+01 9.253E+01 9.521E+01 9.472E+01 9.222E+01 9.553E+01 9.783E+01 9.768E+01 9.818E+01 9.857E+01 9.969E+01 9.816E+01 9.553E+01 9.879E+01 9.756E+01 9.770E+01 9.761E+01 9.572E+01 9.253E+01 9.728E+01 9.666E+01 9.000E+01 8.778E+01 8.917E+01 8.286E+01 7.614E+01 8.371E+01 8.896E+01 0.0 2.313E+01 2.781E+01 2.869E+01 2.607E+01 3.321E+01 4.811E+01 5.212E+01 5.106E+01 5.361E+01 6.479E+01 7.119E+01 7.274E+01 7.580E+01 7.529E+01 7.822E+01 7.832E+01 7.610E+01 7.957E+01 8.200E+01 8.203E+01 8.240E+01 8.296E+01 8.338E+01 8.084E+01 7.763E+01 7.959E+01 7.881E+01 7.911E+01 7.921E+01 7.782E+01 7.531E+01 7.934E+01 7.939E+01 7.414E+01 7.208E+01 7.314E+01 6.795E+01 6.249E+01 6.880E+01 7.327E+01 1.0 1.998E+01 2.458E+01 2.553E+01 2.334E+01 2.992E+01 4.357E+01 4.720E+01 4.636E+01 4.870E+01 5.920E+01 6.564E+01 6.754E+01 7.091E+01 7.083E+01 7.390E+01 7.408E+01 7.155E+01 7.514E+01 7.756E+01 7.744E+01 7.743E+01 7.787E+01 7.732E+01 7.236E+01 6.535E+01 6.078E+01 5.950E+01 5.870E+01 5.762E+01 5.517E+01 5.070E+01 4.968E+01 4.853E+01 4.416E+01 4.023E+01 3.518E+01 2.386E+01 1.323E+01 7.463E+00 5.638E+00 2.0 1.698E+01 2.139E+01 2.240E+01 2.060E+01 2.660E+01 3.895E+01 4.220E+01 4.157E+01 4.370E+01 5.346E+01 5.984E+01 6.204E+01 6.565E+01 6.600E+01 6.916E+01 6.943E+01 6.663E+01 7.030E+01 7.270E+01 7.243E+01 7.209E+01 7.242E+01 7.098E+01 6.401E+01 5.423E+01 4.564E+01 4.415E+01 4.280E+01 4.116E+01 3.839E+01 3.347E+01 3.049E+01 2.912E+01 2.582E+01 2.199E+01 1.654E+01 8.178E+00 2.733E+00 7.922E-01 4.254E-01 3.0 1.427E+01 1.843E+01 1.945E+01 1.800E+01 2.342E+01 3.449E+01 3.737E+01 3.692E+01 3.885E+01 4.785E+01 5.408E+01 5.651E+01 6.030E+01 6.101E+01 6.423E+01 6.458E+01 6.157E+01 6.528E+01 6.764E+01 6.725E+01 6.661E+01 6.683E+01 6.464E+01 5.612E+01 4.455E+01 3.388E+01 3.239E+01 3.084E+01 2.907E+01 2.640E+01 2.183E+01 1.850E+01 1.731E+01 1.497E+01 1.189E+01 7.675E+00 2.764E+00 5.584E-01 8.457E-02 3.297E-02 4.0 1.190E+01 1.574E+01 1.676E+01 1.561E+01 2.046E+01 3.031E+01 3.285E+01 3.256E+01 3.429E+01 4.251E+01 4.852E+01 5.112E+01 5.500E+01 5.602E+01 5.926E+01 5.967E+01 5.652E+01 6.022E+01 6.253E+01 6.204E+01 6.114E+01 6.128E+01 5.848E+01 4.885E+01 3.631E+01 2.494E+01 2.356E+01 2.203E+01 2.034E+01 1.799E+01 1.411E+01 1.112E+01 1.024E+01 8.656E+00 6.380E+00 3.528E+00 9.261E-01 1.148E-01 1.049E-02 3.673E-03 5.0 9.854E+00 1.337E+01 1.435E+01 1.345E+01 1.776E+01 2.647E+01 2.870E+01 2.853E+01 3.007E+01 3.754E+01 4.328E+01 4.596E+01 4.988E+01 5.115E+01 5.437E+01 5.483E+01 5.158E+01 5.525E+01 5.748E+01 5.690E+01 5.580E+01 5.586E+01 5.259E+01 4.225E+01 2.940E+01 1.823E+01 1.701E+01 1.563E+01 1.413E+01 1.217E+01 9.050E+00 6.649E+00 6.064E+00 5.018E+00 3.415E+00 1.613E+00 3.096E-01 2.525E-02 2.596E-03 1.303E-03 6.0 8.119E+00 1.129E+01 1.222E+01 1.153E+01 1.534E+01 2.300E+01 2.493E+01 2.486E+01 2.623E+01 3.297E+01 3.840E+01 4.112E+01 4.500E+01 4.647E+01 4.963E+01 5.013E+01 4.684E+01 5.043E+01 5.257E+01 5.193E+01 5.067E+01 5.067E+01 4.704E+01 3.634E+01 2.366E+01 1.324E+01 1.220E+01 1.101E+01 9.754E+00 8.180E+00 5.767E+00 3.959E+00 3.610E+00 2.938E+00 1.833E+00 7.364E-01 1.047E-01 7.093E-03 1.558E-03 9.671E-04 7.0 6.660E+00 9.493E+00 1.036E+01 9.841E+00 1.319E+01 1.989E+01 2.157E+01 2.157E+01 2.278E+01 2.883E+01 3.392E+01 3.661E+01 4.041E+01 4.202E+01 4.510E+01 4.563E+01 4.234E+01 4.582E+01 4.787E+01 4.718E+01 4.580E+01 4.574E+01 4.189E+01 3.110E+01 1.894E+01 9.563E+00 8.710E+00 7.719E+00 6.697E+00 5.468E+00 3.657E+00 2.354E+00 2.176E+00 1.752E+00 9.934E-01 3.382E-01 3.690E-02 3.227E-03 1.249E-03 7.547E-04 8.0 5.442E+00 7.951E+00 8.746E+00 8.365E+00 1.129E+01 1.713E+01 1.858E+01 1.864E+01 1.970E+01 2.510E+01 2.983E+01 3.247E+01 3.615E+01 3.784E+01 4.082E+01 4.136E+01 3.811E+01 4.146E+01 4.340E+01 4.269E+01 4.123E+01 4.112E+01 3.713E+01 2.650E+01 1.510E+01 6.878E+00 6.189E+00 5.386E+00 4.577E+00 3.639E+00 2.309E+00 1.402E+00 1.339E+00 1.075E+00 5.491E-01 1.581E-01 1.442E-02 2.218E-03 1.044E-03 6.117E-04 9.0 4.432E+00 6.637E+00 7.360E+00 7.085E+00 9.636E+00 1.470E+01 1.595E+01 1.605E+01 1.697E+01 2.177E+01 2.614E+01 2.869E+01 3.221E+01 3.395E+01 3.680E+01 3.735E+01 3.418E+01 3.738E+01 3.921E+01 3.847E+01 3.697E+01 3.683E+01 3.280E+01 2.250E+01 1.198E+01 4.927E+00 4.379E+00 3.743E+00 3.116E+00 2.412E+00 1.454E+00 8.401E-01 8.489E-01 6.863E-01 3.137E-01 7.672E-02 6.820E-03 1.800E-03 8.745E-04 4.957E-04 10.0 3.600E+00 5.523E+00 6.175E+00 5.982E+00 8.196E+00 1.257E+01 1.364E+01 1.377E+01 1.458E+01 1.883E+01 2.283E+01 2.526E+01 2.861E+01 3.037E+01 3.308E+01 3.362E+01 3.055E+01 3.358E+01 3.530E+01 3.456E+01 3.304E+01 3.287E+01 2.886E+01 1.903E+01 9.480E+00 3.518E+00 3.089E+00 2.593E+00 2.114E+00 1.595E+00 9.139E-01 5.087E-01 5.594E-01 4.601E-01 1.881E-01 3.970E-02 4.091E-03 1.525E-03 7.315E-04 4.014E-04 PAR as a function of depth The wavelengths used for this PAR calculation were 400.0 to 700.0 nm depth PAR(from Eo) PAR(from Ed) (m) (mumol phot/m^2/s) (mumol phot/m^2/s) in air 2.7384E+03 2.0314E+03 0.00 2.2230E+03 1.9917E+03 1.00 1.8650E+03 1.6034E+03 2.00 1.5808E+03 1.3124E+03 3.00 1.3538E+03 1.0897E+03 4.00 1.1688E+03 9.1537E+02 5.00 1.0152E+03 7.7581E+02 6.00 8.8539E+02 6.6195E+02 7.00 7.7409E+02 5.6758E+02 8.00 6.7770E+02 4.8838E+02 9.00 5.9363E+02 4.2127E+02 10.00 5.1997E+02 3.6400E+02 K-function for PAR (units of 1/meter) (valid only when zupper and zlower are closely spaced) zupper zlower z KPAR(from Eo) 0.000 0.010 0.005 0.17764 1.000 1.010 1.005 0.17082 2.000 2.010 2.005 0.15985 3.000 3.010 3.005 0.15054 4.000 4.010 4.005 0.14350 5.000 5.010 5.005 0.13856 6.000 6.010 6.005 0.13536 7.000 7.010 7.005 0.13349 8.000 8.010 8.005 0.13260 9.000 9.010 9.005 0.13240 10.000 10.010 10.005 0.13266 CIE 1931 chromaticity coordinates (x,y) and (il)luminance Y for selected quantities. Output is (x,y,Y). Y is illuminance in lm/m^2 for Ed and Eu. Y is luminance in lm/(m^2 sr) for Lu and Lw. Y is not defined for Rrs depth Ed Eu Lu Lw Rrs in air (0.328, 0.339, 1.131E+05) (0.298, 0.332, 4.646E+03) (0.275, 0.317, 9.427E+02) (0.241, 0.343, 3.343E+02) (0.244, 0.336, 0.000E+00) 0.00 (0.327, 0.340, 1.112E+05) (0.243, 0.348, 2.604E+03) (0.241, 0.343, 6.148E+02) 1.00 (0.312, 0.343, 9.619E+04) (0.238, 0.352, 2.464E+03) (0.236, 0.346, 5.553E+02) 2.00 (0.298, 0.346, 8.340E+04) (0.234, 0.356, 2.304E+03) (0.231, 0.350, 4.998E+02) 3.00 (0.286, 0.350, 7.246E+04) (0.230, 0.360, 2.136E+03) (0.228, 0.354, 4.484E+02) 4.00 (0.276, 0.353, 6.305E+04) (0.227, 0.364, 1.966E+03) (0.225, 0.358, 4.012E+02) 5.00 (0.267, 0.357, 5.493E+04) (0.224, 0.368, 1.799E+03) (0.222, 0.362, 3.580E+02) 6.00 (0.260, 0.360, 4.790E+04) (0.222, 0.373, 1.637E+03) (0.219, 0.366, 3.187E+02) 7.00 (0.253, 0.364, 4.180E+04) (0.219, 0.377, 1.483E+03) (0.217, 0.369, 2.830E+02) 8.00 (0.247, 0.367, 3.648E+04) (0.218, 0.381, 1.337E+03) (0.216, 0.373, 2.508E+02) 9.00 (0.243, 0.371, 3.184E+04) (0.216, 0.385, 1.201E+03) (0.214, 0.377, 2.219E+02) 10.00 (0.239, 0.374, 2.780E+04) (0.215, 0.389, 1.075E+03) (0.213, 0.381, 1.959E+02) The Forel-Ule number of the nadir-viewing Rrs is FU = 5 The Forel-Ule number of the nadir-viewing, in-air Lu is FU = 4 The Forel-Ule number of the nadir-viewing Lw is FU = 5 The final depth-averaged photopic alpha and K are alpha = 0.8824 1/m and K = 0.1392 1/m The final estimate for the Secchi depth is z_SD = 7.83 m Run completed on 07/17/2013 at 17:03:36.3 Total (wall clock) run time = 189.0 sec