======================================================== | | | HYDROLIGHT Version 5.1.0 (MAIN CODE) | | Copyright (c) 2008 by Curtis D. Mobley | | | | This copy of HE5 is licensed solely to | | Student Version for Maine 2011 Summer Class | | | | S/N Maine_500_31July2011 | | | | 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: lab 2 - iop from ac9 ex 1 (07/20/2011 15:17) Run started on 07/20/2011 at 15:17:01.8 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 1 405.00 2 80.000 0.1730 2 15.00 2 0.010 2 415.00 3 70.000 0.3407 3 30.00 3 5.000 3 425.00 4 60.000 0.4981 4 45.00 4 5.010 4 435.00 5 50.000 0.6403 5 60.00 5 10.000 5 445.00 6 40.000 0.7631 6 75.00 6 10.010 6 455.00 7 30.000 0.8627 7 90.00 7 15.000 7 465.00 8 20.000 0.9361 8 105.00 8 15.010 8 475.00 9 10.000 0.9811 9 120.00 9 20.000 9 485.00 10 0.000 0.9981 10 135.00 10 20.010 10 495.00 11 150.00 11 25.000 11 505.00 12 165.00 12 25.010 12 515.00 13 180.00 13 30.000 13 525.00 14 195.00 14 30.010 14 535.00 15 210.00 15 35.000 15 545.00 16 225.00 16 35.010 16 555.00 17 240.00 17 40.000 17 565.00 18 255.00 18 40.010 18 575.00 19 270.00 19 45.000 19 585.00 20 285.00 20 45.010 20 595.00 21 300.00 21 50.000 21 605.00 22 315.00 22 50.010 22 615.00 23 330.00 23 625.00 24 345.00 24 635.00 25 645.00 26 655.00 27 665.00 28 675.00 29 685.00 30 695.00 ***** 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 0.50 (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 0.500 5.000 0.500 10.000 0.500 15.000 0.500 20.000 0.500 25.000 0.500 30.000 0.500 35.000 0.500 40.000 0.500 45.000 0.500 50.000 0.500 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( 7, 1) centered at (theta, phi) = (30.000, 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 Parameter values used in the RADTRANX model: Solar zenith angle = 30.0 degrees Pressure = 29.9 in. mercury Day of year = not set (mean earth-sun distance used) Air mass type = 1.0 Relative Humidity = 80.0 % Precipitable water = 2.5 cm 24-hr wind speed = 5.0 m/sec Current wind speed = 5.0 m/sec Visibility = 15.0 km Total ozone = 300.0 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 5.0 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 50.00 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 0.1 sec. * * * * * Output for wavelength band 1 (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 117.5 m at 405.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 400.0 nm to 410.0 nm: Ed(diffuse) = 4.287E-01 Ed(direct) = 6.992E-01 Ed(total) = 1.128E+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 0.0276 0.0000 0.0109 0.0438 3 1.596 5.000 0.0053 0.0276 0.0000 0.0109 0.0438 5 3.192 10.000 0.0053 0.0276 0.0000 0.0109 0.0438 7 4.788 15.000 0.0053 0.0276 0.0000 0.0109 0.0438 9 6.384 20.000 0.0053 0.0276 0.0000 0.0109 0.0438 11 7.980 25.000 0.0053 0.0276 0.0000 0.0109 0.0438 13 9.576 30.000 0.0053 0.0276 0.0000 0.0109 0.0438 15 11.172 35.000 0.0053 0.0276 0.0000 0.0109 0.0438 17 12.768 40.000 0.0053 0.0276 0.0000 0.0109 0.0438 19 14.364 45.000 0.0053 0.0276 0.0000 0.0109 0.0438 21 15.960 50.000 0.0053 0.0276 0.0000 0.0109 0.0438 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 0.1319 0.1363 0.0000 0.2754 3 1.596 5.000 0.0072 0.1319 0.1363 0.0000 0.2754 5 3.192 10.000 0.0072 0.1319 0.1363 0.0000 0.2754 7 4.788 15.000 0.0072 0.1319 0.1363 0.0000 0.2754 9 6.384 20.000 0.0072 0.1319 0.1363 0.0000 0.2754 11 7.980 25.000 0.0072 0.1319 0.1363 0.0000 0.2754 13 9.576 30.000 0.0072 0.1319 0.1363 0.0000 0.2754 15 11.172 35.000 0.0072 0.1319 0.1363 0.0000 0.2754 17 12.768 40.000 0.0072 0.1319 0.1363 0.0000 0.2754 19 14.364 45.000 0.0072 0.1319 0.1363 0.0000 0.2754 21 15.960 50.000 0.0072 0.1319 0.1363 0.0000 0.2754 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 0.00185 0.00024 0.00000 0.00568 3 1.596 5.000 0.00359 0.00185 0.00024 0.00000 0.00568 5 3.192 10.000 0.00359 0.00185 0.00024 0.00000 0.00568 7 4.788 15.000 0.00359 0.00185 0.00024 0.00000 0.00568 9 6.384 20.000 0.00359 0.00185 0.00024 0.00000 0.00568 11 7.980 25.000 0.00359 0.00185 0.00024 0.00000 0.00568 13 9.576 30.000 0.00359 0.00185 0.00024 0.00000 0.00568 15 11.172 35.000 0.00359 0.00185 0.00024 0.00000 0.00568 17 12.768 40.000 0.00359 0.00185 0.00024 0.00000 0.00568 19 14.364 45.000 0.00359 0.00185 0.00024 0.00000 0.00568 21 15.960 50.000 0.00359 0.00185 0.00024 0.00000 0.00568 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 0.0438 0.2754 0.3192 0.8627 0.00568 0.02062 3 1.596 5.000 0.0438 0.2754 0.3192 0.8627 0.00568 0.02062 5 3.192 10.000 0.0438 0.2754 0.3192 0.8627 0.00568 0.02062 7 4.788 15.000 0.0438 0.2754 0.3192 0.8627 0.00568 0.02062 9 6.384 20.000 0.0438 0.2754 0.3192 0.8627 0.00568 0.02062 11 7.980 25.000 0.0438 0.2754 0.3192 0.8627 0.00568 0.02062 13 9.576 30.000 0.0438 0.2754 0.3192 0.8627 0.00568 0.02062 15 11.172 35.000 0.0438 0.2754 0.3192 0.8627 0.00568 0.02062 17 12.768 40.000 0.0438 0.2754 0.3192 0.8627 0.00568 0.02062 19 14.364 45.000 0.0438 0.2754 0.3192 0.8627 0.00568 0.02062 21 15.960 50.000 0.0438 0.2754 0.3192 0.8627 0.00568 0.02062 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4921E-01 8 20.00 8.2503E-01 7 30.00 6.5936E-01 6 40.00 4.8973E-01 5 50.00 3.4314E-01 4 60.00 2.3114E-01 3 70.00 1.5297E-01 2 80.00 1.0217E-01 1 87.50 7.6021E-02 1 92.50 6.1747E-02 2 100.00 4.7856E-02 3 110.00 3.6156E-02 4 120.00 2.8803E-02 5 130.00 2.4235E-02 6 140.00 2.1397E-02 7 150.00 1.9648E-02 8 160.00 1.8606E-02 9 170.00 1.8052E-02 10 180.00 1.7857E-02 Asymptotic AOP values are MUu(inf) = 0.3905 MUd(inf) = 0.7039 MU(inf) = 0.6029 R(inf) = 0.0564 Lu(inf)/Ed(inf) = 0.012461 (1/sr) k(inf) = 0.0727 (1/m) absorp(check) = 0.0438 = 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 1.8002E-01 1.6724E+00 1.8524E+00 6.5547E-02 1.1279E+00 0.3641 0.6745 0.5735 5.8112E-02 1 0.00 0.00 1.1814E-01 1.3140E+00 1.4321E+00 5.2257E-02 1.1146E+00 0.4423 0.8483 0.7418 4.6882E-02 3 1.60 5.00 9.6879E-02 1.0311E+00 1.1280E+00 4.1001E-02 8.2308E-01 0.4232 0.7982 0.6933 4.9814E-02 5 3.19 10.00 7.4983E-02 7.7752E-01 8.5250E-01 3.0900E-02 5.9678E-01 0.4121 0.7675 0.6638 5.1779E-02 7 4.79 15.00 5.6048E-02 5.7160E-01 6.2765E-01 2.2709E-02 4.2736E-01 0.4052 0.7477 0.6447 5.3137E-02 9 6.38 20.00 4.0964E-02 4.1316E-01 4.5412E-01 1.6410E-02 3.0340E-01 0.4006 0.7344 0.6320 5.4087E-02 11 7.98 25.00 2.9488E-02 2.9519E-01 3.2468E-01 1.1722E-02 2.1410E-01 0.3975 0.7253 0.6233 5.4753E-02 13 9.58 30.00 2.1007E-02 2.0921E-01 2.3021E-01 8.3070E-03 1.5043E-01 0.3954 0.7191 0.6174 5.5220E-02 15 11.17 35.00 1.4858E-02 1.4744E-01 1.6230E-01 5.8540E-03 1.0538E-01 0.3940 0.7147 0.6132 5.5549E-02 17 12.77 40.00 1.0456E-02 1.0351E-01 1.1396E-01 4.1093E-03 7.3668E-02 0.3930 0.7117 0.6104 5.5781E-02 19 14.36 45.00 7.3334E-03 7.2466E-02 7.9799E-02 2.8768E-03 5.1421E-02 0.3923 0.7096 0.6083 5.5946E-02 21 15.96 50.00 5.1305E-03 5.0636E-02 5.5766E-02 2.0101E-03 3.5853E-02 0.3918 0.7081 0.6069 5.6065E-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 0.04261 0.04882 0.04831 0.04507 0.05843 0.05909 0.05678 5.000 5.010 5.005 0.04643 0.05307 0.05250 0.05321 0.06272 0.06322 0.06167 10.000 10.010 10.005 0.05528 0.05936 0.05900 0.05944 0.06570 0.06604 0.06498 15.000 15.010 15.005 0.06076 0.06345 0.06321 0.06350 0.06775 0.06799 0.06725 20.000 20.010 20.005 0.06442 0.06623 0.06606 0.06627 0.06919 0.06936 0.06885 25.000 25.010 25.005 0.06691 0.06815 0.06803 0.06818 0.07021 0.07032 0.06996 30.000 30.010 30.005 0.06863 0.06949 0.06941 0.06951 0.07092 0.07100 0.07075 35.000 35.010 35.005 0.06982 0.07042 0.07036 0.07043 0.07142 0.07148 0.07130 40.000 40.010 40.005 0.07065 0.07107 0.07103 0.07108 0.07177 0.07181 0.07169 45.000 45.010 45.005 0.07123 0.07152 0.07149 0.07153 0.07203 0.07205 0.07197 50.000 50.010 50.005 0.07164 0.07184 0.07183 0.07185 0.07221 0.07223 0.07216 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 1.15686E-01 7.33033E-03 6.50596E-03 1.38363E-02 6.49883E-03 0.056238 9 1 10.0 0.0 180.0 7.13830E-02 7.53007E-03 2.28345E-03 9.81352E-03 6.67591E-03 0.031989 9 4 10.0 45.0 135.0 7.84307E-02 7.47026E-03 2.61264E-03 1.00829E-02 6.62288E-03 0.033311 9 7 10.0 90.0 90.0 1.05966E-01 7.38719E-03 4.91231E-03 1.22995E-02 6.54924E-03 0.046357 8 1 20.0 0.0 180.0 5.60704E-02 7.64828E-03 1.35492E-03 9.00321E-03 6.78071E-03 0.024165 8 4 20.0 45.0 135.0 6.24214E-02 7.52547E-03 1.57631E-03 9.10178E-03 6.67183E-03 0.025253 8 7 20.0 90.0 90.0 9.17877E-02 7.40734E-03 3.15324E-03 1.05606E-02 6.56710E-03 0.034354 7 1 30.0 0.0 180.0 4.86160E-02 7.79875E-03 1.17031E-03 8.96906E-03 6.91411E-03 0.024073 7 4 30.0 45.0 135.0 5.38891E-02 7.72269E-03 1.31286E-03 9.03555E-03 6.84668E-03 0.024362 7 7 30.0 90.0 90.0 7.86649E-02 7.52687E-03 2.17442E-03 9.70128E-03 6.67307E-03 0.027642 6 1 40.0 0.0 180.0 4.61458E-02 7.91306E-03 1.30124E-03 9.21431E-03 7.01546E-03 0.028198 6 4 40.0 45.0 135.0 5.04580E-02 7.80657E-03 1.41127E-03 9.21784E-03 6.92104E-03 0.027969 6 7 40.0 90.0 90.0 7.08422E-02 7.57893E-03 2.03855E-03 9.61748E-03 6.71923E-03 0.028776 5 1 50.0 0.0 180.0 4.83824E-02 8.05000E-03 2.05551E-03 1.01055E-02 7.13686E-03 0.042485 5 4 50.0 45.0 135.0 5.15579E-02 7.88528E-03 2.14146E-03 1.00267E-02 6.99083E-03 0.041535 5 7 50.0 90.0 90.0 6.85333E-02 7.64307E-03 2.76849E-03 1.04116E-02 6.77609E-03 0.040396 4 1 60.0 0.0 180.0 5.74306E-02 7.96195E-03 4.78837E-03 1.27503E-02 7.05880E-03 0.083377 4 4 60.0 45.0 135.0 5.87304E-02 7.77544E-03 4.72843E-03 1.25039E-02 6.89344E-03 0.080511 4 7 60.0 90.0 90.0 7.25243E-02 7.60922E-03 5.52173E-03 1.31309E-02 6.74608E-03 0.076136 3 1 70.0 0.0 180.0 7.96854E-02 7.40163E-03 1.32267E-02 2.06284E-02 6.56204E-03 0.165987 3 4 70.0 45.0 135.0 7.74426E-02 7.29459E-03 1.27266E-02 2.00212E-02 6.46714E-03 0.164336 3 7 70.0 90.0 90.0 8.65789E-02 7.12339E-03 1.38396E-02 2.09630E-02 6.31536E-03 0.159849 2 1 80.0 0.0 180.0 1.35387E-01 6.34372E-03 3.28778E-02 3.92215E-02 5.62413E-03 0.242843 2 4 80.0 45.0 135.0 1.25365E-01 6.22712E-03 3.17996E-02 3.80267E-02 5.52076E-03 0.253655 2 7 80.0 90.0 90.0 1.24552E-01 6.07282E-03 3.33028E-02 3.93757E-02 5.38396E-03 0.267382 1 1 87.5 0.0 180.0 2.18895E-01 5.10356E-03 5.79845E-02 6.30880E-02 4.52465E-03 0.264896 1 4 87.5 45.0 135.0 1.97088E-01 4.76332E-03 5.76265E-02 6.23898E-02 4.22300E-03 0.292389 1 7 87.5 90.0 90.0 1.79307E-01 5.13134E-03 5.89769E-02 6.41083E-02 4.54927E-03 0.328916 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 1.384E-02 1.157E-01 1.410E-01 1.217E-01 1.817E-01 1.227E-02 4.737E+00 7.330E-03 6.499E-03 1 0.00 0.00 1.360E-02 2.155E-01 2.486E-02 2.620E-02 3.296E-02 1.220E-02 3.842E+00 3 1.60 5.00 1.011E-02 3.434E-01 1.997E-02 2.329E-02 3.544E-02 1.228E-02 4.056E+00 5 3.19 10.00 7.362E-03 3.433E-01 1.620E-02 1.961E-02 3.069E-02 1.234E-02 4.197E+00 7 4.79 15.00 5.288E-03 2.847E-01 1.258E-02 1.551E-02 2.407E-02 1.237E-02 4.294E+00 9 6.38 20.00 3.762E-03 2.160E-01 9.536E-03 1.182E-02 1.786E-02 1.240E-02 4.362E+00 11 7.98 25.00 2.659E-03 1.566E-01 7.115E-03 8.794E-03 1.280E-02 1.242E-02 4.409E+00 13 9.58 30.00 1.870E-03 1.108E-01 5.247E-03 6.428E-03 8.985E-03 1.243E-02 4.443E+00 15 11.17 35.00 1.311E-03 7.746E-02 3.836E-03 4.638E-03 6.227E-03 1.244E-02 4.466E+00 17 12.77 40.00 9.168E-04 5.382E-02 2.783E-03 3.315E-03 4.285E-03 1.245E-02 4.482E+00 19 14.36 45.00 6.402E-04 3.729E-02 2.007E-03 2.353E-03 2.937E-03 1.245E-02 4.494E+00 21 15.96 50.00 4.465E-04 2.582E-02 1.440E-03 1.661E-03 2.011E-03 1.245E-02 4.502E+00 Waveband 1 of 30 completed in 5.7 sec. * * * * * Output for wavelength band 2 (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 117.5 m at 415.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 410.0 nm to 420.0 nm: Ed(diffuse) = 4.394E-01 Ed(direct) = 7.590E-01 Ed(total) = 1.198E+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 0.0301 0.0000 0.0095 0.0441 3 1.584 5.000 0.0044 0.0301 0.0000 0.0095 0.0441 5 3.168 10.000 0.0044 0.0301 0.0000 0.0095 0.0441 7 4.752 15.000 0.0044 0.0301 0.0000 0.0095 0.0441 9 6.336 20.000 0.0044 0.0301 0.0000 0.0095 0.0441 11 7.920 25.000 0.0044 0.0301 0.0000 0.0095 0.0441 13 9.504 30.000 0.0044 0.0301 0.0000 0.0095 0.0441 15 11.088 35.000 0.0044 0.0301 0.0000 0.0095 0.0441 17 12.672 40.000 0.0044 0.0301 0.0000 0.0095 0.0441 19 14.256 45.000 0.0044 0.0301 0.0000 0.0095 0.0441 21 15.840 50.000 0.0044 0.0301 0.0000 0.0095 0.0441 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 0.1309 0.1353 0.0000 0.2727 3 1.584 5.000 0.0065 0.1309 0.1353 0.0000 0.2727 5 3.168 10.000 0.0065 0.1309 0.1353 0.0000 0.2727 7 4.752 15.000 0.0065 0.1309 0.1353 0.0000 0.2727 9 6.336 20.000 0.0065 0.1309 0.1353 0.0000 0.2727 11 7.920 25.000 0.0065 0.1309 0.1353 0.0000 0.2727 13 9.504 30.000 0.0065 0.1309 0.1353 0.0000 0.2727 15 11.088 35.000 0.0065 0.1309 0.1353 0.0000 0.2727 17 12.672 40.000 0.0065 0.1309 0.1353 0.0000 0.2727 19 14.256 45.000 0.0065 0.1309 0.1353 0.0000 0.2727 21 15.840 50.000 0.0065 0.1309 0.1353 0.0000 0.2727 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 0.00184 0.00024 0.00000 0.00530 3 1.584 5.000 0.00323 0.00184 0.00024 0.00000 0.00530 5 3.168 10.000 0.00323 0.00184 0.00024 0.00000 0.00530 7 4.752 15.000 0.00323 0.00184 0.00024 0.00000 0.00530 9 6.336 20.000 0.00323 0.00184 0.00024 0.00000 0.00530 11 7.920 25.000 0.00323 0.00184 0.00024 0.00000 0.00530 13 9.504 30.000 0.00323 0.00184 0.00024 0.00000 0.00530 15 11.088 35.000 0.00323 0.00184 0.00024 0.00000 0.00530 17 12.672 40.000 0.00323 0.00184 0.00024 0.00000 0.00530 19 14.256 45.000 0.00323 0.00184 0.00024 0.00000 0.00530 21 15.840 50.000 0.00323 0.00184 0.00024 0.00000 0.00530 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 0.0441 0.2727 0.3168 0.8608 0.00530 0.01945 3 1.584 5.000 0.0441 0.2727 0.3168 0.8608 0.00530 0.01945 5 3.168 10.000 0.0441 0.2727 0.3168 0.8608 0.00530 0.01945 7 4.752 15.000 0.0441 0.2727 0.3168 0.8608 0.00530 0.01945 9 6.336 20.000 0.0441 0.2727 0.3168 0.8608 0.00530 0.01945 11 7.920 25.000 0.0441 0.2727 0.3168 0.8608 0.00530 0.01945 13 9.504 30.000 0.0441 0.2727 0.3168 0.8608 0.00530 0.01945 15 11.088 35.000 0.0441 0.2727 0.3168 0.8608 0.00530 0.01945 17 12.672 40.000 0.0441 0.2727 0.3168 0.8608 0.00530 0.01945 19 14.256 45.000 0.0441 0.2727 0.3168 0.8608 0.00530 0.01945 21 15.840 50.000 0.0441 0.2727 0.3168 0.8608 0.00530 0.01945 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4878E-01 8 20.00 8.2363E-01 7 30.00 6.5686E-01 6 40.00 4.8642E-01 5 50.00 3.3949E-01 4 60.00 2.2755E-01 3 70.00 1.4969E-01 2 80.00 9.9291E-02 1 87.50 7.3445E-02 1 92.50 5.9380E-02 2 100.00 4.5734E-02 3 110.00 3.4288E-02 4 120.00 2.7127E-02 5 130.00 2.2698E-02 6 140.00 1.9956E-02 7 150.00 1.8272E-02 8 160.00 1.7271E-02 9 170.00 1.6741E-02 10 180.00 1.6553E-02 Asymptotic AOP values are MUu(inf) = 0.3873 MUd(inf) = 0.7060 MU(inf) = 0.6092 R(inf) = 0.0533 Lu(inf)/Ed(inf) = 0.011624 (1/sr) k(inf) = 0.0724 (1/m) absorp(check) = 0.0441 = 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 415.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.8430E-01 1.7632E+00 1.9475E+00 6.7360E-02 1.1984E+00 0.3655 0.6797 0.5808 5.6206E-02 1 0.00 0.00 1.1801E-01 1.3892E+00 1.5072E+00 5.2012E-02 1.1831E+00 0.4407 0.8516 0.7504 4.3963E-02 3 1.58 5.00 9.7287E-02 1.0916E+00 1.1889E+00 4.0965E-02 8.7508E-01 0.4211 0.8016 0.7016 4.6813E-02 5 3.17 10.00 7.5619E-02 8.2469E-01 9.0031E-01 3.0979E-02 6.3566E-01 0.4097 0.7708 0.6716 4.8735E-02 7 4.75 15.00 5.6731E-02 6.0753E-01 6.6426E-01 2.2837E-02 4.5608E-01 0.4025 0.7507 0.6522 5.0072E-02 9 6.34 20.00 4.1596E-02 4.4005E-01 4.8165E-01 1.6548E-02 3.2441E-01 0.3978 0.7372 0.6392 5.1011E-02 11 7.92 25.00 3.0028E-02 3.1504E-01 3.4507E-01 1.1851E-02 2.2934E-01 0.3947 0.7280 0.6303 5.1672E-02 13 9.50 30.00 2.1446E-02 2.2372E-01 2.4517E-01 8.4172E-03 1.6144E-01 0.3925 0.7216 0.6242 5.2138E-02 15 11.09 35.00 1.5203E-02 1.5797E-01 1.7317E-01 5.9442E-03 1.1329E-01 0.3910 0.7172 0.6199 5.2467E-02 17 12.67 40.00 1.0722E-02 1.1110E-01 1.2183E-01 4.1810E-03 7.9337E-02 0.3899 0.7141 0.6169 5.2700E-02 19 14.26 45.00 7.5346E-03 7.7923E-02 8.5457E-02 2.9326E-03 5.5472E-02 0.3892 0.7119 0.6148 5.2866E-02 21 15.84 50.00 5.2813E-03 5.4544E-02 5.9825E-02 2.0528E-03 3.8743E-02 0.3887 0.7103 0.6133 5.2985E-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 0.04108 0.04817 0.04761 0.04418 0.05812 0.05876 0.05634 5.000 5.010 5.005 0.04551 0.05274 0.05215 0.05249 0.06236 0.06285 0.06122 10.000 10.010 10.005 0.05449 0.05896 0.05859 0.05880 0.06532 0.06565 0.06453 15.000 15.010 15.005 0.06008 0.06303 0.06278 0.06292 0.06737 0.06760 0.06682 20.000 20.010 20.005 0.06382 0.06581 0.06564 0.06574 0.06882 0.06898 0.06844 25.000 25.010 25.005 0.06638 0.06775 0.06763 0.06770 0.06984 0.06995 0.06957 30.000 30.010 30.005 0.06815 0.06910 0.06902 0.06907 0.07056 0.07064 0.07037 35.000 35.010 35.005 0.06938 0.07004 0.06998 0.07002 0.07107 0.07113 0.07094 40.000 40.010 40.005 0.07024 0.07070 0.07066 0.07069 0.07143 0.07147 0.07134 45.000 45.010 45.005 0.07084 0.07117 0.07114 0.07116 0.07169 0.07172 0.07162 50.000 50.010 50.005 0.07127 0.07150 0.07148 0.07149 0.07187 0.07189 0.07182 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 1.18579E-01 7.24502E-03 6.88404E-03 1.41291E-02 6.04533E-03 0.058054 9 1 10.0 0.0 180.0 7.31681E-02 7.43935E-03 2.36947E-03 9.80882E-03 6.20749E-03 0.032384 9 4 10.0 45.0 135.0 8.03920E-02 7.38136E-03 2.71518E-03 1.00965E-02 6.15910E-03 0.033774 9 7 10.0 90.0 90.0 1.08616E-01 7.30228E-03 5.16841E-03 1.24707E-02 6.09312E-03 0.047584 8 1 20.0 0.0 180.0 5.74725E-02 7.55577E-03 1.39027E-03 8.94603E-03 6.30463E-03 0.024190 8 4 20.0 45.0 135.0 6.39824E-02 7.43620E-03 1.61952E-03 9.05572E-03 6.20486E-03 0.025312 8 7 20.0 90.0 90.0 9.40831E-02 7.32455E-03 3.28278E-03 1.06073E-02 6.11170E-03 0.034892 7 1 30.0 0.0 180.0 4.98318E-02 7.70485E-03 1.19958E-03 8.90443E-03 6.42902E-03 0.024072 7 4 30.0 45.0 135.0 5.52379E-02 7.63217E-03 1.34587E-03 8.97804E-03 6.36838E-03 0.024365 7 7 30.0 90.0 90.0 8.06253E-02 7.44600E-03 2.23876E-03 9.68476E-03 6.21304E-03 0.027767 6 1 40.0 0.0 180.0 4.72998E-02 7.81962E-03 1.33378E-03 9.15340E-03 6.52479E-03 0.028198 6 4 40.0 45.0 135.0 5.17198E-02 7.71786E-03 1.44656E-03 9.16441E-03 6.43988E-03 0.027969 6 7 40.0 90.0 90.0 7.26138E-02 7.50348E-03 2.09017E-03 9.59365E-03 6.26100E-03 0.028785 5 1 50.0 0.0 180.0 4.95923E-02 7.95754E-03 2.10691E-03 1.00644E-02 6.63987E-03 0.042485 5 4 50.0 45.0 135.0 5.28472E-02 7.79913E-03 2.19501E-03 9.99414E-03 6.50769E-03 0.041535 5 7 50.0 90.0 90.0 7.02471E-02 7.57354E-03 2.83772E-03 1.04113E-02 6.31946E-03 0.040396 4 1 60.0 0.0 180.0 5.88668E-02 7.87342E-03 4.90811E-03 1.27815E-02 6.56968E-03 0.083377 4 4 60.0 45.0 135.0 6.01990E-02 7.69425E-03 4.84667E-03 1.25409E-02 6.42018E-03 0.080511 4 7 60.0 90.0 90.0 7.43379E-02 7.54697E-03 5.65981E-03 1.32068E-02 6.29728E-03 0.076136 3 1 70.0 0.0 180.0 8.16781E-02 7.32285E-03 1.35575E-02 2.08804E-02 6.11028E-03 0.165987 3 4 70.0 45.0 135.0 7.93792E-02 7.22287E-03 1.30448E-02 2.02677E-02 6.02686E-03 0.164336 3 7 70.0 90.0 90.0 8.87440E-02 7.07304E-03 1.41856E-02 2.12587E-02 5.90184E-03 0.159849 2 1 80.0 0.0 180.0 1.38772E-01 6.27915E-03 3.36999E-02 3.99791E-02 5.23940E-03 0.242843 2 4 80.0 45.0 135.0 1.28500E-01 6.16962E-03 3.25948E-02 3.87644E-02 5.14801E-03 0.253655 2 7 80.0 90.0 90.0 1.27666E-01 6.03618E-03 3.41356E-02 4.01718E-02 5.03666E-03 0.267382 1 1 87.5 0.0 180.0 2.24369E-01 5.05410E-03 5.94345E-02 6.44886E-02 4.21720E-03 0.264896 1 4 87.5 45.0 135.0 2.02017E-01 4.72220E-03 5.90676E-02 6.37898E-02 3.94027E-03 0.292389 1 7 87.5 90.0 90.0 1.83791E-01 5.10579E-03 6.04518E-02 6.55576E-02 4.26034E-03 0.328916 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 1.413E-02 1.186E-01 1.444E-01 1.247E-01 1.862E-01 1.179E-02 4.767E+00 7.245E-03 6.045E-03 1 0.00 0.00 1.344E-02 2.208E-01 2.471E-02 2.624E-02 3.350E-02 1.136E-02 3.869E+00 3 1.58 5.00 1.001E-02 3.611E-01 1.998E-02 2.357E-02 3.652E-02 1.144E-02 4.091E+00 5 3.17 10.00 7.309E-03 3.645E-01 1.629E-02 1.996E-02 3.183E-02 1.150E-02 4.239E+00 7 4.75 15.00 5.261E-03 3.041E-01 1.270E-02 1.586E-02 2.510E-02 1.154E-02 4.341E+00 9 6.34 20.00 3.751E-03 2.317E-01 9.664E-03 1.214E-02 1.869E-02 1.156E-02 4.412E+00 11 7.92 25.00 2.656E-03 1.686E-01 7.238E-03 9.066E-03 1.344E-02 1.158E-02 4.462E+00 13 9.50 30.00 1.872E-03 1.196E-01 5.359E-03 6.650E-03 9.457E-03 1.159E-02 4.497E+00 15 11.09 35.00 1.315E-03 8.381E-02 3.931E-03 4.813E-03 6.567E-03 1.160E-02 4.522E+00 17 12.67 40.00 9.210E-04 5.835E-02 2.863E-03 3.450E-03 4.526E-03 1.161E-02 4.540E+00 19 14.26 45.00 6.442E-04 4.051E-02 2.071E-03 2.455E-03 3.107E-03 1.161E-02 4.552E+00 21 15.84 50.00 4.501E-04 2.810E-02 1.491E-03 1.737E-03 2.129E-03 1.162E-02 4.561E+00 Waveband 2 of 30 completed in 5.7 sec. * * * * * Output for wavelength band 3 (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 117.5 m at 425.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 420.0 nm to 430.0 nm: Ed(diffuse) = 4.082E-01 Ed(direct) = 7.412E-01 Ed(total) = 1.149E+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 0.0316 0.0000 0.0083 0.0447 3 1.574 5.000 0.0048 0.0316 0.0000 0.0083 0.0447 5 3.148 10.000 0.0048 0.0316 0.0000 0.0083 0.0447 7 4.723 15.000 0.0048 0.0316 0.0000 0.0083 0.0447 9 6.297 20.000 0.0048 0.0316 0.0000 0.0083 0.0447 11 7.871 25.000 0.0048 0.0316 0.0000 0.0083 0.0447 13 9.445 30.000 0.0048 0.0316 0.0000 0.0083 0.0447 15 11.020 35.000 0.0048 0.0316 0.0000 0.0083 0.0447 17 12.594 40.000 0.0048 0.0316 0.0000 0.0083 0.0447 19 14.168 45.000 0.0048 0.0316 0.0000 0.0083 0.0447 21 15.742 50.000 0.0048 0.0316 0.0000 0.0083 0.0447 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 0.1300 0.1343 0.0000 0.2702 3 1.574 5.000 0.0058 0.1300 0.1343 0.0000 0.2702 5 3.148 10.000 0.0058 0.1300 0.1343 0.0000 0.2702 7 4.723 15.000 0.0058 0.1300 0.1343 0.0000 0.2702 9 6.297 20.000 0.0058 0.1300 0.1343 0.0000 0.2702 11 7.871 25.000 0.0058 0.1300 0.1343 0.0000 0.2702 13 9.445 30.000 0.0058 0.1300 0.1343 0.0000 0.2702 15 11.020 35.000 0.0058 0.1300 0.1343 0.0000 0.2702 17 12.594 40.000 0.0058 0.1300 0.1343 0.0000 0.2702 19 14.168 45.000 0.0058 0.1300 0.1343 0.0000 0.2702 21 15.742 50.000 0.0058 0.1300 0.1343 0.0000 0.2702 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 0.00182 0.00024 0.00000 0.00497 3 1.574 5.000 0.00291 0.00182 0.00024 0.00000 0.00497 5 3.148 10.000 0.00291 0.00182 0.00024 0.00000 0.00497 7 4.723 15.000 0.00291 0.00182 0.00024 0.00000 0.00497 9 6.297 20.000 0.00291 0.00182 0.00024 0.00000 0.00497 11 7.871 25.000 0.00291 0.00182 0.00024 0.00000 0.00497 13 9.445 30.000 0.00291 0.00182 0.00024 0.00000 0.00497 15 11.020 35.000 0.00291 0.00182 0.00024 0.00000 0.00497 17 12.594 40.000 0.00291 0.00182 0.00024 0.00000 0.00497 19 14.168 45.000 0.00291 0.00182 0.00024 0.00000 0.00497 21 15.742 50.000 0.00291 0.00182 0.00024 0.00000 0.00497 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 0.0447 0.2702 0.3148 0.8581 0.00497 0.01841 3 1.574 5.000 0.0447 0.2702 0.3148 0.8581 0.00497 0.01841 5 3.148 10.000 0.0447 0.2702 0.3148 0.8581 0.00497 0.01841 7 4.723 15.000 0.0447 0.2702 0.3148 0.8581 0.00497 0.01841 9 6.297 20.000 0.0447 0.2702 0.3148 0.8581 0.00497 0.01841 11 7.871 25.000 0.0447 0.2702 0.3148 0.8581 0.00497 0.01841 13 9.445 30.000 0.0447 0.2702 0.3148 0.8581 0.00497 0.01841 15 11.020 35.000 0.0447 0.2702 0.3148 0.8581 0.00497 0.01841 17 12.594 40.000 0.0447 0.2702 0.3148 0.8581 0.00497 0.01841 19 14.168 45.000 0.0447 0.2702 0.3148 0.8581 0.00497 0.01841 21 15.742 50.000 0.0447 0.2702 0.3148 0.8581 0.00497 0.01841 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4816E-01 8 20.00 8.2162E-01 7 30.00 6.5334E-01 6 40.00 4.8186E-01 5 50.00 3.3458E-01 4 60.00 2.2289E-01 3 70.00 1.4559E-01 2 80.00 9.5826E-02 1 87.50 7.0436E-02 1 92.50 5.6674E-02 2 100.00 4.3371E-02 3 110.00 3.2265E-02 4 120.00 2.5355E-02 5 130.00 2.1101E-02 6 140.00 1.8480E-02 7 150.00 1.6875E-02 8 160.00 1.5924E-02 9 170.00 1.5420E-02 10 180.00 1.5243E-02 Asymptotic AOP values are MUu(inf) = 0.3842 MUd(inf) = 0.7086 MU(inf) = 0.6161 R(inf) = 0.0501 Lu(inf)/Ed(inf) = 0.010794 (1/sr) k(inf) = 0.0725 (1/m) absorp(check) = 0.0447 = 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 1.7059E-01 1.6797E+00 1.8503E+00 6.2507E-02 1.1494E+00 0.3664 0.6843 0.5874 5.4383E-02 1 0.00 0.00 1.0597E-01 1.3259E+00 1.4318E+00 4.6525E-02 1.1334E+00 0.4390 0.8548 0.7591 4.1049E-02 3 1.57 5.00 8.7624E-02 1.0409E+00 1.1285E+00 3.6699E-02 8.3783E-01 0.4188 0.8049 0.7099 4.3803E-02 5 3.15 10.00 6.8224E-02 7.8586E-01 8.5408E-01 2.7779E-02 6.0831E-01 0.4072 0.7741 0.6797 4.5667E-02 7 4.72 15.00 5.1240E-02 5.7866E-01 6.2990E-01 2.0490E-02 4.3625E-01 0.3999 0.7539 0.6600 4.6968E-02 9 6.30 20.00 3.7595E-02 4.1897E-01 4.5657E-01 1.4852E-02 3.1016E-01 0.3951 0.7403 0.6468 4.7887E-02 11 7.87 25.00 2.7148E-02 2.9983E-01 3.2698E-01 1.0637E-02 2.1916E-01 0.3918 0.7309 0.6377 4.8535E-02 13 9.45 30.00 1.9391E-02 2.1282E-01 2.3221E-01 7.5539E-03 1.5418E-01 0.3896 0.7245 0.6315 4.8993E-02 15 11.02 35.00 1.3744E-02 1.5019E-01 1.6393E-01 5.3329E-03 1.0814E-01 0.3880 0.7200 0.6271 4.9317E-02 17 12.59 40.00 9.6902E-03 1.0557E-01 1.1526E-01 3.7496E-03 7.5678E-02 0.3869 0.7168 0.6240 4.9547E-02 19 14.17 45.00 6.8068E-03 7.4001E-02 8.0808E-02 2.6287E-03 5.2880E-02 0.3862 0.7146 0.6219 4.9711E-02 21 15.74 50.00 4.7689E-03 5.1767E-02 5.6536E-02 1.8391E-03 3.6909E-02 0.3857 0.7130 0.6203 4.9829E-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 0.03982 0.04793 0.04733 0.04369 0.05824 0.05886 0.05634 5.000 5.010 5.005 0.04509 0.05290 0.05229 0.05226 0.06247 0.06294 0.06124 10.000 10.010 10.005 0.05422 0.05906 0.05867 0.05865 0.06541 0.06573 0.06456 15.000 15.010 15.005 0.05991 0.06311 0.06285 0.06283 0.06746 0.06769 0.06687 20.000 20.010 20.005 0.06372 0.06589 0.06572 0.06571 0.06892 0.06908 0.06850 25.000 25.010 25.005 0.06634 0.06784 0.06771 0.06771 0.06994 0.07006 0.06965 30.000 30.010 30.005 0.06816 0.06920 0.06911 0.06911 0.07067 0.07075 0.07047 35.000 35.010 35.005 0.06943 0.07015 0.07009 0.07009 0.07119 0.07124 0.07104 40.000 40.010 40.005 0.07031 0.07082 0.07077 0.07077 0.07155 0.07159 0.07145 45.000 45.010 45.005 0.07093 0.07129 0.07126 0.07126 0.07181 0.07184 0.07174 50.000 50.010 50.005 0.07137 0.07162 0.07160 0.07160 0.07200 0.07202 0.07195 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 1.10138E-01 6.43561E-03 6.57864E-03 1.30142E-02 5.59914E-03 0.059731 9 1 10.0 0.0 180.0 6.79596E-02 6.60570E-03 2.22558E-03 8.83128E-03 5.74712E-03 0.032749 9 4 10.0 45.0 135.0 7.46693E-02 6.55510E-03 2.55379E-03 9.10889E-03 5.70310E-03 0.034201 9 7 10.0 90.0 90.0 1.00884E-01 6.48733E-03 4.91474E-03 1.14021E-02 5.64413E-03 0.048717 8 1 20.0 0.0 180.0 5.33813E-02 6.70874E-03 1.29256E-03 8.00130E-03 5.83677E-03 0.024214 8 4 20.0 45.0 135.0 5.94278E-02 6.60400E-03 1.50748E-03 8.11148E-03 5.74564E-03 0.025367 8 7 20.0 90.0 90.0 8.73858E-02 6.50901E-03 3.09254E-03 9.60155E-03 5.66300E-03 0.035390 7 1 30.0 0.0 180.0 4.62845E-02 6.84144E-03 1.11418E-03 7.95563E-03 5.95223E-03 0.024072 7 4 30.0 45.0 135.0 5.13067E-02 6.77890E-03 1.25022E-03 8.02912E-03 5.89781E-03 0.024368 7 7 30.0 90.0 90.0 7.48801E-02 6.61958E-03 2.08794E-03 8.70752E-03 5.75920E-03 0.027884 6 1 40.0 0.0 180.0 4.39327E-02 6.94483E-03 1.23883E-03 8.18367E-03 6.04218E-03 0.028198 6 4 40.0 45.0 135.0 4.80381E-02 6.85727E-03 1.34358E-03 8.20085E-03 5.96599E-03 0.027969 6 7 40.0 90.0 90.0 6.74447E-02 6.67559E-03 1.94194E-03 8.61754E-03 5.80793E-03 0.028793 5 1 50.0 0.0 180.0 4.60620E-02 7.06950E-03 1.95693E-03 9.02643E-03 6.15064E-03 0.042485 5 4 50.0 45.0 135.0 4.90853E-02 6.93238E-03 2.03876E-03 8.97114E-03 6.03134E-03 0.041535 5 7 50.0 90.0 90.0 6.52465E-02 6.74347E-03 2.63572E-03 9.37918E-03 5.86698E-03 0.040396 4 1 60.0 0.0 180.0 5.46763E-02 6.99726E-03 4.55872E-03 1.15560E-02 6.08779E-03 0.083377 4 4 60.0 45.0 135.0 5.59137E-02 6.84237E-03 4.50166E-03 1.13440E-02 5.95303E-03 0.080511 4 7 60.0 90.0 90.0 6.90461E-02 6.72576E-03 5.25692E-03 1.19827E-02 5.85158E-03 0.076136 3 1 70.0 0.0 180.0 7.58638E-02 6.51108E-03 1.25924E-02 1.91035E-02 5.66480E-03 0.165987 3 4 70.0 45.0 135.0 7.37285E-02 6.42710E-03 1.21162E-02 1.85433E-02 5.59174E-03 0.164336 3 7 70.0 90.0 90.0 8.24268E-02 6.31035E-03 1.31758E-02 1.94862E-02 5.49016E-03 0.159849 2 1 80.0 0.0 180.0 1.28894E-01 5.58574E-03 3.13010E-02 3.68867E-02 4.85973E-03 0.242843 2 4 80.0 45.0 135.0 1.19353E-01 5.49323E-03 3.02746E-02 3.57678E-02 4.77925E-03 0.253655 2 7 80.0 90.0 90.0 1.18578E-01 5.39088E-03 3.17057E-02 3.70966E-02 4.69020E-03 0.267382 1 1 87.5 0.0 180.0 2.08398E-01 4.49830E-03 5.52036E-02 5.97019E-02 3.91363E-03 0.264896 1 4 87.5 45.0 135.0 1.87636E-01 4.20715E-03 5.48628E-02 5.90700E-02 3.66032E-03 0.292389 1 7 87.5 90.0 90.0 1.70708E-01 4.56489E-03 5.61485E-02 6.07134E-02 3.97157E-03 0.328916 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 1.301E-02 1.101E-01 1.340E-01 1.157E-01 1.729E-01 1.132E-02 4.803E+00 6.436E-03 5.599E-03 1 0.00 0.00 1.194E-02 2.051E-01 2.209E-02 2.364E-02 3.062E-02 1.054E-02 3.896E+00 3 1.57 5.00 8.894E-03 3.424E-01 1.796E-02 2.141E-02 3.379E-02 1.062E-02 4.126E+00 5 3.15 10.00 6.491E-03 3.479E-01 1.467E-02 1.819E-02 2.955E-02 1.067E-02 4.280E+00 7 4.72 15.00 4.671E-03 2.913E-01 1.145E-02 1.449E-02 2.335E-02 1.071E-02 4.386E+00 9 6.30 20.00 3.329E-03 2.225E-01 8.726E-03 1.111E-02 1.741E-02 1.073E-02 4.461E+00 11 7.87 25.00 2.357E-03 1.620E-01 6.544E-03 8.303E-03 1.252E-02 1.075E-02 4.513E+00 13 9.45 30.00 1.660E-03 1.150E-01 4.850E-03 6.095E-03 8.810E-03 1.077E-02 4.551E+00 15 11.02 35.00 1.165E-03 8.061E-02 3.562E-03 4.414E-03 6.115E-03 1.078E-02 4.577E+00 17 12.59 40.00 8.160E-04 5.611E-02 2.596E-03 3.165E-03 4.211E-03 1.078E-02 4.595E+00 19 14.17 45.00 5.704E-04 3.894E-02 1.880E-03 2.252E-03 2.887E-03 1.079E-02 4.608E+00 21 15.74 50.00 3.983E-04 2.700E-02 1.355E-03 1.594E-03 1.976E-03 1.079E-02 4.618E+00 Waveband 3 of 30 completed in 5.9 sec. * * * * * Output for wavelength band 4 (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 117.5 m at 435.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 430.0 nm to 440.0 nm: Ed(diffuse) = 4.073E-01 Ed(direct) = 7.763E-01 Ed(total) = 1.184E+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 0.0332 0.0000 0.0072 0.0457 3 1.567 5.000 0.0053 0.0332 0.0000 0.0072 0.0457 5 3.135 10.000 0.0053 0.0332 0.0000 0.0072 0.0457 7 4.702 15.000 0.0053 0.0332 0.0000 0.0072 0.0457 9 6.269 20.000 0.0053 0.0332 0.0000 0.0072 0.0457 11 7.837 25.000 0.0053 0.0332 0.0000 0.0072 0.0457 13 9.404 30.000 0.0053 0.0332 0.0000 0.0072 0.0457 15 10.971 35.000 0.0053 0.0332 0.0000 0.0072 0.0457 17 12.539 40.000 0.0053 0.0332 0.0000 0.0072 0.0457 19 14.106 45.000 0.0053 0.0332 0.0000 0.0072 0.0457 21 15.673 50.000 0.0053 0.0332 0.0000 0.0072 0.0457 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 0.1291 0.1334 0.0000 0.2678 3 1.567 5.000 0.0053 0.1291 0.1334 0.0000 0.2678 5 3.135 10.000 0.0053 0.1291 0.1334 0.0000 0.2678 7 4.702 15.000 0.0053 0.1291 0.1334 0.0000 0.2678 9 6.269 20.000 0.0053 0.1291 0.1334 0.0000 0.2678 11 7.837 25.000 0.0053 0.1291 0.1334 0.0000 0.2678 13 9.404 30.000 0.0053 0.1291 0.1334 0.0000 0.2678 15 10.971 35.000 0.0053 0.1291 0.1334 0.0000 0.2678 17 12.539 40.000 0.0053 0.1291 0.1334 0.0000 0.2678 19 14.106 45.000 0.0053 0.1291 0.1334 0.0000 0.2678 21 15.673 50.000 0.0053 0.1291 0.1334 0.0000 0.2678 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 0.00181 0.00023 0.00000 0.00468 3 1.567 5.000 0.00264 0.00181 0.00023 0.00000 0.00468 5 3.135 10.000 0.00264 0.00181 0.00023 0.00000 0.00468 7 4.702 15.000 0.00264 0.00181 0.00023 0.00000 0.00468 9 6.269 20.000 0.00264 0.00181 0.00023 0.00000 0.00468 11 7.837 25.000 0.00264 0.00181 0.00023 0.00000 0.00468 13 9.404 30.000 0.00264 0.00181 0.00023 0.00000 0.00468 15 10.971 35.000 0.00264 0.00181 0.00023 0.00000 0.00468 17 12.539 40.000 0.00264 0.00181 0.00023 0.00000 0.00468 19 14.106 45.000 0.00264 0.00181 0.00023 0.00000 0.00468 21 15.673 50.000 0.00264 0.00181 0.00023 0.00000 0.00468 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 0.0457 0.2678 0.3135 0.8542 0.00468 0.01748 3 1.567 5.000 0.0457 0.2678 0.3135 0.8542 0.00468 0.01748 5 3.135 10.000 0.0457 0.2678 0.3135 0.8542 0.00468 0.01748 7 4.702 15.000 0.0457 0.2678 0.3135 0.8542 0.00468 0.01748 9 6.269 20.000 0.0457 0.2678 0.3135 0.8542 0.00468 0.01748 11 7.837 25.000 0.0457 0.2678 0.3135 0.8542 0.00468 0.01748 13 9.404 30.000 0.0457 0.2678 0.3135 0.8542 0.00468 0.01748 15 10.971 35.000 0.0457 0.2678 0.3135 0.8542 0.00468 0.01748 17 12.539 40.000 0.0457 0.2678 0.3135 0.8542 0.00468 0.01748 19 14.106 45.000 0.0457 0.2678 0.3135 0.8542 0.00468 0.01748 21 15.673 50.000 0.0457 0.2678 0.3135 0.8542 0.00468 0.01748 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4728E-01 8 20.00 8.1880E-01 7 30.00 6.4846E-01 6 40.00 4.7566E-01 5 50.00 3.2807E-01 4 60.00 2.1686E-01 3 70.00 1.4045E-01 2 80.00 9.1611E-02 1 87.50 6.6868E-02 1 92.50 5.3528E-02 2 100.00 4.0690E-02 3 110.00 3.0034E-02 4 120.00 2.3444E-02 5 130.00 1.9411E-02 6 140.00 1.6938E-02 7 150.00 1.5431E-02 8 160.00 1.4540E-02 9 170.00 1.4069E-02 10 180.00 1.3904E-02 Asymptotic AOP values are MUu(inf) = 0.3811 MUd(inf) = 0.7118 MU(inf) = 0.6240 R(inf) = 0.0468 Lu(inf)/Ed(inf) = 0.009958 (1/sr) k(inf) = 0.0732 (1/m) absorp(check) = 0.0457 = 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 1.6946E-01 1.7187E+00 1.8882E+00 6.2224E-02 1.1836E+00 0.3672 0.6887 0.5939 5.2570E-02 1 0.00 0.00 1.0152E-01 1.3586E+00 1.4601E+00 4.4388E-02 1.1658E+00 0.4372 0.8581 0.7680 3.8076E-02 3 1.57 5.00 8.3971E-02 1.0626E+00 1.1466E+00 3.4971E-02 8.5891E-01 0.4165 0.8083 0.7186 4.0715E-02 5 3.13 10.00 6.5295E-02 7.9938E-01 8.6468E-01 2.6418E-02 6.2155E-01 0.4046 0.7775 0.6883 4.2504E-02 7 4.70 15.00 4.8944E-02 5.8660E-01 6.3555E-01 1.9439E-02 4.4426E-01 0.3972 0.7573 0.6684 4.3756E-02 9 6.27 20.00 3.5825E-02 4.2328E-01 4.5911E-01 1.4053E-02 3.1479E-01 0.3923 0.7437 0.6551 4.4642E-02 11 7.84 25.00 2.5801E-02 3.0188E-01 3.2768E-01 1.0035E-02 2.2168E-01 0.3889 0.7343 0.6459 4.5268E-02 13 9.40 30.00 1.8374E-02 2.1354E-01 2.3191E-01 7.1044E-03 1.5542E-01 0.3867 0.7278 0.6395 4.5712E-02 15 10.97 35.00 1.2983E-02 1.5018E-01 1.6317E-01 4.9997E-03 1.0863E-01 0.3851 0.7233 0.6351 4.6025E-02 17 12.54 40.00 9.1245E-03 1.0520E-01 1.1433E-01 3.5037E-03 7.5759E-02 0.3840 0.7201 0.6320 4.6248E-02 19 14.11 45.00 6.3883E-03 7.3486E-02 7.9874E-02 2.4481E-03 5.2752E-02 0.3832 0.7179 0.6298 4.6407E-02 21 15.67 50.00 4.4606E-03 5.1227E-02 5.5688E-02 1.7069E-03 3.6691E-02 0.3827 0.7162 0.6282 4.6522E-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 0.03892 0.04819 0.04755 0.04369 0.05889 0.05949 0.05688 5.000 5.010 5.005 0.04526 0.05364 0.05302 0.05261 0.06313 0.06358 0.06182 10.000 10.010 10.005 0.05456 0.05976 0.05937 0.05909 0.06607 0.06638 0.06517 15.000 15.010 15.005 0.06034 0.06379 0.06352 0.06335 0.06813 0.06835 0.06750 20.000 20.010 20.005 0.06423 0.06657 0.06639 0.06627 0.06959 0.06975 0.06915 25.000 25.010 25.005 0.06691 0.06852 0.06839 0.06831 0.07063 0.07074 0.07032 30.000 30.010 30.005 0.06877 0.06988 0.06979 0.06974 0.07136 0.07144 0.07114 35.000 35.010 35.005 0.07006 0.07084 0.07078 0.07074 0.07188 0.07194 0.07173 40.000 40.010 40.005 0.07097 0.07151 0.07147 0.07144 0.07225 0.07229 0.07214 45.000 45.010 45.005 0.07160 0.07199 0.07195 0.07194 0.07251 0.07254 0.07243 50.000 50.010 50.005 0.07205 0.07232 0.07230 0.07229 0.07270 0.07272 0.07265 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 1.09916E-01 6.09872E-03 6.75154E-03 1.28503E-02 5.15256E-03 0.061424 9 1 10.0 0.0 180.0 6.78230E-02 6.25796E-03 2.24609E-03 8.50405E-03 5.28709E-03 0.033117 9 4 10.0 45.0 135.0 7.45191E-02 6.21070E-03 2.58081E-03 8.79151E-03 5.24716E-03 0.034633 9 7 10.0 90.0 90.0 1.00682E-01 6.14837E-03 5.02001E-03 1.11684E-02 5.19450E-03 0.049860 8 1 20.0 0.0 180.0 5.32740E-02 6.35534E-03 1.29122E-03 7.64656E-03 5.36936E-03 0.024237 8 4 20.0 45.0 135.0 5.93083E-02 6.25717E-03 1.50772E-03 7.76489E-03 5.28642E-03 0.025422 8 7 20.0 90.0 90.0 8.72100E-02 6.17040E-03 3.13012E-03 9.30052E-03 5.21311E-03 0.035892 7 1 30.0 0.0 180.0 4.61914E-02 6.48133E-03 1.11194E-03 7.59327E-03 5.47581E-03 0.024072 7 4 30.0 45.0 135.0 5.12045E-02 6.42355E-03 1.24786E-03 7.67141E-03 5.42699E-03 0.024370 7 7 30.0 90.0 90.0 7.47236E-02 6.27731E-03 2.09235E-03 8.36966E-03 5.30343E-03 0.028001 6 1 40.0 0.0 180.0 4.38444E-02 6.58044E-03 1.23634E-03 7.81678E-03 5.55954E-03 0.028198 6 4 40.0 45.0 135.0 4.79415E-02 6.49959E-03 1.34088E-03 7.84047E-03 5.49123E-03 0.027969 6 7 40.0 90.0 90.0 6.73091E-02 6.33440E-03 1.93860E-03 8.27299E-03 5.35167E-03 0.028801 5 1 50.0 0.0 180.0 4.59694E-02 6.70036E-03 1.95299E-03 8.65335E-03 5.66086E-03 0.042485 5 4 50.0 45.0 135.0 4.89866E-02 6.57317E-03 2.03466E-03 8.60783E-03 5.55339E-03 0.041535 5 7 50.0 90.0 90.0 6.51153E-02 6.40348E-03 2.63042E-03 9.03390E-03 5.41004E-03 0.040396 4 1 60.0 0.0 180.0 5.45664E-02 6.63399E-03 4.54956E-03 1.11835E-02 5.60478E-03 0.083377 4 4 60.0 45.0 135.0 5.58013E-02 6.49053E-03 4.49261E-03 1.09831E-02 5.48358E-03 0.080511 4 7 60.0 90.0 90.0 6.89073E-02 6.39180E-03 5.24635E-03 1.16381E-02 5.40016E-03 0.076136 3 1 70.0 0.0 180.0 7.57113E-02 6.17581E-03 1.25671E-02 1.87429E-02 5.21768E-03 0.165987 3 4 70.0 45.0 135.0 7.35803E-02 6.10009E-03 1.20919E-02 1.81920E-02 5.15371E-03 0.164336 3 7 70.0 90.0 90.0 8.22610E-02 6.00326E-03 1.31493E-02 1.91526E-02 5.07190E-03 0.159849 2 1 80.0 0.0 180.0 1.28635E-01 5.30054E-03 3.12380E-02 3.65386E-02 4.47820E-03 0.242843 2 4 80.0 45.0 135.0 1.19113E-01 5.21677E-03 3.02137E-02 3.54304E-02 4.40743E-03 0.253655 2 7 80.0 90.0 90.0 1.18340E-01 5.13367E-03 3.16419E-02 3.67756E-02 4.33722E-03 0.267382 1 1 87.5 0.0 180.0 2.07978E-01 4.27082E-03 5.50926E-02 5.93635E-02 3.60823E-03 0.264896 1 4 87.5 45.0 135.0 1.87259E-01 3.99792E-03 5.47525E-02 5.87504E-02 3.37767E-03 0.292389 1 7 87.5 90.0 90.0 1.70364E-01 4.35177E-03 5.60356E-02 6.03874E-02 3.67663E-03 0.328916 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 1.285E-02 1.099E-01 1.337E-01 1.154E-01 1.724E-01 1.086E-02 4.842E+00 6.099E-03 5.153E-03 1 0.00 0.00 1.132E-02 2.047E-01 2.107E-02 2.272E-02 2.987E-02 9.706E-03 3.923E+00 3 1.57 5.00 8.405E-03 3.478E-01 1.719E-02 2.073E-02 3.330E-02 9.785E-03 4.161E+00 5 3.13 10.00 6.115E-03 3.548E-01 1.402E-02 1.761E-02 2.913E-02 9.839E-03 4.320E+00 7 4.70 15.00 4.388E-03 2.973E-01 1.093E-02 1.400E-02 2.298E-02 9.876E-03 4.430E+00 9 6.27 20.00 3.117E-03 2.269E-01 8.315E-03 1.072E-02 1.710E-02 9.903E-03 4.508E+00 11 7.84 25.00 2.199E-03 1.650E-01 6.224E-03 7.998E-03 1.226E-02 9.921E-03 4.563E+00 13 9.40 30.00 1.544E-03 1.169E-01 4.605E-03 5.858E-03 8.601E-03 9.934E-03 4.601E+00 15 10.97 35.00 1.080E-03 8.174E-02 3.376E-03 4.232E-03 5.948E-03 9.944E-03 4.629E+00 17 12.54 40.00 7.538E-04 5.674E-02 2.456E-03 3.026E-03 4.080E-03 9.950E-03 4.648E+00 19 14.11 45.00 5.251E-04 3.926E-02 1.775E-03 2.147E-03 2.787E-03 9.955E-03 4.662E+00 21 15.67 50.00 3.654E-04 2.713E-02 1.276E-03 1.515E-03 1.899E-03 9.958E-03 4.672E+00 Waveband 4 of 30 completed in 5.7 sec. * * * * * Output for wavelength band 5 (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 117.5 m at 445.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 440.0 nm to 450.0 nm: Ed(diffuse) = 4.682E-01 Ed(direct) = 9.292E-01 Ed(total) = 1.397E+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 0.0325 0.0000 0.0062 0.0463 3 1.559 5.000 0.0075 0.0325 0.0000 0.0062 0.0463 5 3.118 10.000 0.0075 0.0325 0.0000 0.0062 0.0463 7 4.676 15.000 0.0075 0.0325 0.0000 0.0062 0.0463 9 6.235 20.000 0.0075 0.0325 0.0000 0.0062 0.0463 11 7.794 25.000 0.0075 0.0325 0.0000 0.0062 0.0463 13 9.353 30.000 0.0075 0.0325 0.0000 0.0062 0.0463 15 10.911 35.000 0.0075 0.0325 0.0000 0.0062 0.0463 17 12.470 40.000 0.0075 0.0325 0.0000 0.0062 0.0463 19 14.029 45.000 0.0075 0.0325 0.0000 0.0062 0.0463 21 15.588 50.000 0.0075 0.0325 0.0000 0.0062 0.0463 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 0.1282 0.1325 0.0000 0.2655 3 1.559 5.000 0.0048 0.1282 0.1325 0.0000 0.2655 5 3.118 10.000 0.0048 0.1282 0.1325 0.0000 0.2655 7 4.676 15.000 0.0048 0.1282 0.1325 0.0000 0.2655 9 6.235 20.000 0.0048 0.1282 0.1325 0.0000 0.2655 11 7.794 25.000 0.0048 0.1282 0.1325 0.0000 0.2655 13 9.353 30.000 0.0048 0.1282 0.1325 0.0000 0.2655 15 10.911 35.000 0.0048 0.1282 0.1325 0.0000 0.2655 17 12.470 40.000 0.0048 0.1282 0.1325 0.0000 0.2655 19 14.029 45.000 0.0048 0.1282 0.1325 0.0000 0.2655 21 15.588 50.000 0.0048 0.1282 0.1325 0.0000 0.2655 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 0.00180 0.00023 0.00000 0.00442 3 1.559 5.000 0.00239 0.00180 0.00023 0.00000 0.00442 5 3.118 10.000 0.00239 0.00180 0.00023 0.00000 0.00442 7 4.676 15.000 0.00239 0.00180 0.00023 0.00000 0.00442 9 6.235 20.000 0.00239 0.00180 0.00023 0.00000 0.00442 11 7.794 25.000 0.00239 0.00180 0.00023 0.00000 0.00442 13 9.353 30.000 0.00239 0.00180 0.00023 0.00000 0.00442 15 10.911 35.000 0.00239 0.00180 0.00023 0.00000 0.00442 17 12.470 40.000 0.00239 0.00180 0.00023 0.00000 0.00442 19 14.029 45.000 0.00239 0.00180 0.00023 0.00000 0.00442 21 15.588 50.000 0.00239 0.00180 0.00023 0.00000 0.00442 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 0.0463 0.2655 0.3118 0.8516 0.00442 0.01665 3 1.559 5.000 0.0463 0.2655 0.3118 0.8516 0.00442 0.01665 5 3.118 10.000 0.0463 0.2655 0.3118 0.8516 0.00442 0.01665 7 4.676 15.000 0.0463 0.2655 0.3118 0.8516 0.00442 0.01665 9 6.235 20.000 0.0463 0.2655 0.3118 0.8516 0.00442 0.01665 11 7.794 25.000 0.0463 0.2655 0.3118 0.8516 0.00442 0.01665 13 9.353 30.000 0.0463 0.2655 0.3118 0.8516 0.00442 0.01665 15 10.911 35.000 0.0463 0.2655 0.3118 0.8516 0.00442 0.01665 17 12.470 40.000 0.0463 0.2655 0.3118 0.8516 0.00442 0.01665 19 14.029 45.000 0.0463 0.2655 0.3118 0.8516 0.00442 0.01665 21 15.588 50.000 0.0463 0.2655 0.3118 0.8516 0.00442 0.01665 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4669E-01 8 20.00 8.1690E-01 7 30.00 6.4517E-01 6 40.00 4.7146E-01 5 50.00 3.2364E-01 4 60.00 2.1274E-01 3 70.00 1.3690E-01 2 80.00 8.8674E-02 1 87.50 6.4358E-02 1 92.50 5.1299E-02 2 100.00 3.8771E-02 3 110.00 2.8417E-02 4 120.00 2.2044E-02 5 130.00 1.8161E-02 6 140.00 1.5788E-02 7 150.00 1.4346E-02 8 160.00 1.3497E-02 9 170.00 1.3049E-02 10 180.00 1.2892E-02 Asymptotic AOP values are MUu(inf) = 0.3783 MUd(inf) = 0.7141 MU(inf) = 0.6299 R(inf) = 0.0443 Lu(inf)/Ed(inf) = 0.009304 (1/sr) k(inf) = 0.0735 (1/m) absorp(check) = 0.0463 = 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 1.9419E-01 2.0183E+00 2.2125E+00 7.1465E-02 1.3974E+00 0.3680 0.6924 0.5993 5.1142E-02 1 0.00 0.00 1.1295E-01 1.5977E+00 1.7107E+00 4.9199E-02 1.3751E+00 0.4356 0.8607 0.7751 3.5778E-02 3 1.56 5.00 9.3646E-02 1.2479E+00 1.3415E+00 3.8797E-02 1.0121E+00 0.4143 0.8110 0.7255 3.8334E-02 5 3.12 10.00 7.2890E-02 9.3774E-01 1.0106E+00 2.9319E-02 7.3171E-01 0.4022 0.7803 0.6950 4.0069E-02 7 4.68 15.00 5.4662E-02 6.8748E-01 7.4214E-01 2.1574E-02 5.2252E-01 0.3947 0.7601 0.6750 4.1289E-02 9 6.24 20.00 4.0014E-02 4.9562E-01 5.3564E-01 1.5593E-02 3.6990E-01 0.3897 0.7463 0.6615 4.2154E-02 11 7.79 25.00 2.8811E-02 3.5316E-01 3.8197E-01 1.1130E-02 2.6024E-01 0.3863 0.7369 0.6522 4.2767E-02 13 9.35 30.00 2.0509E-02 2.4958E-01 2.7009E-01 7.8749E-03 1.8228E-01 0.3840 0.7303 0.6457 4.3202E-02 15 10.91 35.00 1.4483E-02 1.7537E-01 1.8986E-01 5.5379E-03 1.2728E-01 0.3824 0.7258 0.6412 4.3510E-02 17 12.47 40.00 1.0172E-02 1.2273E-01 1.3290E-01 3.8778E-03 8.8677E-02 0.3812 0.7225 0.6381 4.3729E-02 19 14.03 45.00 7.1155E-03 8.5641E-02 9.2756E-02 2.7071E-03 6.1684E-02 0.3804 0.7203 0.6358 4.3886E-02 21 15.59 50.00 4.9639E-03 5.9640E-02 6.4604E-02 1.8857E-03 4.2858E-02 0.3799 0.7186 0.6342 4.3999E-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 0.03786 0.04814 0.04746 0.04332 0.05910 0.05968 0.05697 5.000 5.010 5.005 0.04498 0.05389 0.05327 0.05250 0.06333 0.06376 0.06193 10.000 10.010 10.005 0.05442 0.05996 0.05956 0.05906 0.06626 0.06656 0.06529 15.000 15.010 15.005 0.06029 0.06397 0.06370 0.06337 0.06832 0.06853 0.06764 20.000 20.010 20.005 0.06425 0.06675 0.06656 0.06634 0.06978 0.06993 0.06930 25.000 25.010 25.005 0.06698 0.06870 0.06857 0.06842 0.07082 0.07093 0.07048 30.000 30.010 30.005 0.06887 0.07007 0.06998 0.06987 0.07156 0.07163 0.07132 35.000 35.010 35.005 0.07020 0.07103 0.07097 0.07089 0.07208 0.07214 0.07191 40.000 40.010 40.005 0.07111 0.07171 0.07166 0.07161 0.07246 0.07249 0.07233 45.000 45.010 45.005 0.07177 0.07219 0.07216 0.07212 0.07272 0.07275 0.07264 50.000 50.010 50.005 0.07223 0.07253 0.07251 0.07248 0.07291 0.07293 0.07285 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 1.26342E-01 6.71246E-03 7.94837E-03 1.46608E-02 4.80351E-03 0.062911 9 1 10.0 0.0 180.0 7.79584E-02 6.88471E-03 2.60697E-03 9.49168E-03 4.92678E-03 0.033441 9 4 10.0 45.0 135.0 8.56552E-02 6.83377E-03 2.99894E-03 9.83271E-03 4.89033E-03 0.035012 9 7 10.0 90.0 90.0 1.15727E-01 6.76803E-03 5.88645E-03 1.26545E-02 4.84328E-03 0.050865 8 1 20.0 0.0 180.0 6.12352E-02 6.99132E-03 1.48545E-03 8.47677E-03 5.00307E-03 0.024258 8 4 20.0 45.0 135.0 6.81713E-02 6.88501E-03 1.73634E-03 8.62135E-03 4.92700E-03 0.025470 8 7 20.0 90.0 90.0 1.00243E-01 6.79431E-03 3.64209E-03 1.04364E-02 4.86209E-03 0.036333 7 1 30.0 0.0 180.0 5.30942E-02 7.13013E-03 1.27811E-03 8.40824E-03 5.10240E-03 0.024072 7 4 30.0 45.0 135.0 5.88574E-02 7.06892E-03 1.43450E-03 8.50342E-03 5.05860E-03 0.024372 7 7 30.0 90.0 90.0 8.58844E-02 6.91487E-03 2.41373E-03 9.32860E-03 4.94836E-03 0.028104 6 1 40.0 0.0 180.0 5.03965E-02 7.24061E-03 1.42110E-03 8.66171E-03 5.18147E-03 0.028198 6 4 40.0 45.0 135.0 5.51058E-02 7.15495E-03 1.54126E-03 8.69621E-03 5.12016E-03 0.027969 6 7 40.0 90.0 90.0 7.73677E-02 6.98301E-03 2.22887E-03 9.21187E-03 4.99712E-03 0.028809 5 1 50.0 0.0 180.0 5.28390E-02 7.37485E-03 2.24484E-03 9.61970E-03 5.27753E-03 0.042485 5 4 50.0 45.0 135.0 5.63071E-02 7.23903E-03 2.33872E-03 9.57775E-03 5.18034E-03 0.041535 5 7 50.0 90.0 90.0 7.48461E-02 7.06504E-03 3.02351E-03 1.00885E-02 5.05582E-03 0.040396 4 1 60.0 0.0 180.0 6.27208E-02 7.30445E-03 5.22944E-03 1.25339E-02 5.22715E-03 0.083377 4 4 60.0 45.0 135.0 6.41402E-02 7.15146E-03 5.16398E-03 1.23154E-02 5.11767E-03 0.080511 4 7 60.0 90.0 90.0 7.92047E-02 7.05844E-03 6.03036E-03 1.30888E-02 5.05110E-03 0.076136 3 1 70.0 0.0 180.0 8.70255E-02 6.80333E-03 1.44451E-02 2.12484E-02 4.86855E-03 0.165987 3 4 70.0 45.0 135.0 8.45761E-02 6.72548E-03 1.38989E-02 2.06244E-02 4.81283E-03 0.164336 3 7 70.0 90.0 90.0 9.45540E-02 6.63669E-03 1.51144E-02 2.17511E-02 4.74930E-03 0.159849 2 1 80.0 0.0 180.0 1.47858E-01 5.84202E-03 3.59062E-02 4.17483E-02 4.18062E-03 0.242843 2 4 80.0 45.0 135.0 1.36913E-01 5.75521E-03 3.47288E-02 4.04840E-02 4.11849E-03 0.253655 2 7 80.0 90.0 90.0 1.36024E-01 5.68123E-03 3.63705E-02 4.20517E-02 4.06556E-03 0.267382 1 1 87.5 0.0 180.0 2.39059E-01 4.70965E-03 6.33256E-02 6.80353E-02 3.37028E-03 0.264896 1 4 87.5 45.0 135.0 2.15243E-01 4.41342E-03 6.29347E-02 6.73481E-02 3.15830E-03 0.292389 1 7 87.5 90.0 90.0 1.95824E-01 4.82114E-03 6.44095E-02 6.92306E-02 3.45007E-03 0.328916 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 1.466E-02 1.263E-01 1.535E-01 1.325E-01 1.981E-01 1.049E-02 4.875E+00 6.712E-03 4.804E-03 1 0.00 0.00 1.245E-02 2.353E-01 2.334E-02 2.536E-02 3.379E-02 9.057E-03 3.950E+00 3 1.56 5.00 9.245E-03 4.064E-01 1.913E-02 2.332E-02 3.806E-02 9.135E-03 4.196E+00 5 3.12 10.00 6.723E-03 4.166E-01 1.563E-02 1.985E-02 3.336E-02 9.188E-03 4.361E+00 7 4.68 15.00 4.821E-03 3.500E-01 1.219E-02 1.580E-02 2.635E-02 9.226E-03 4.475E+00 9 6.24 20.00 3.422E-03 2.675E-01 9.279E-03 1.211E-02 1.961E-02 9.252E-03 4.556E+00 11 7.79 25.00 2.413E-03 1.946E-01 6.950E-03 9.037E-03 1.407E-02 9.271E-03 4.613E+00 13 9.35 30.00 1.692E-03 1.379E-01 5.145E-03 6.619E-03 9.859E-03 9.284E-03 4.653E+00 15 10.91 35.00 1.183E-03 9.641E-02 3.773E-03 4.782E-03 6.812E-03 9.293E-03 4.682E+00 17 12.47 40.00 8.247E-04 6.689E-02 2.746E-03 3.418E-03 4.667E-03 9.300E-03 4.702E+00 19 14.03 45.00 5.739E-04 4.625E-02 1.985E-03 2.425E-03 3.183E-03 9.304E-03 4.717E+00 21 15.59 50.00 3.989E-04 3.193E-02 1.427E-03 1.710E-03 2.166E-03 9.308E-03 4.727E+00 Waveband 5 of 30 completed in 5.6 sec. * * * * * Output for wavelength band 6 (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 117.5 m at 455.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 450.0 nm to 460.0 nm: Ed(diffuse) = 4.888E-01 Ed(direct) = 1.007E+00 Ed(total) = 1.495E+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 0.0301 0.0000 0.0054 0.0451 3 1.542 5.000 0.0096 0.0301 0.0000 0.0054 0.0451 5 3.084 10.000 0.0096 0.0301 0.0000 0.0054 0.0451 7 4.627 15.000 0.0096 0.0301 0.0000 0.0054 0.0451 9 6.169 20.000 0.0096 0.0301 0.0000 0.0054 0.0451 11 7.711 25.000 0.0096 0.0301 0.0000 0.0054 0.0451 13 9.253 30.000 0.0096 0.0301 0.0000 0.0054 0.0451 15 10.795 35.000 0.0096 0.0301 0.0000 0.0054 0.0451 17 12.338 40.000 0.0096 0.0301 0.0000 0.0054 0.0451 19 13.880 45.000 0.0096 0.0301 0.0000 0.0054 0.0451 21 15.422 50.000 0.0096 0.0301 0.0000 0.0054 0.0451 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 0.1274 0.1316 0.0000 0.2633 3 1.542 5.000 0.0043 0.1274 0.1316 0.0000 0.2633 5 3.084 10.000 0.0043 0.1274 0.1316 0.0000 0.2633 7 4.627 15.000 0.0043 0.1274 0.1316 0.0000 0.2633 9 6.169 20.000 0.0043 0.1274 0.1316 0.0000 0.2633 11 7.711 25.000 0.0043 0.1274 0.1316 0.0000 0.2633 13 9.253 30.000 0.0043 0.1274 0.1316 0.0000 0.2633 15 10.795 35.000 0.0043 0.1274 0.1316 0.0000 0.2633 17 12.338 40.000 0.0043 0.1274 0.1316 0.0000 0.2633 19 13.880 45.000 0.0043 0.1274 0.1316 0.0000 0.2633 21 15.422 50.000 0.0043 0.1274 0.1316 0.0000 0.2633 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 0.00179 0.00023 0.00000 0.00419 3 1.542 5.000 0.00217 0.00179 0.00023 0.00000 0.00419 5 3.084 10.000 0.00217 0.00179 0.00023 0.00000 0.00419 7 4.627 15.000 0.00217 0.00179 0.00023 0.00000 0.00419 9 6.169 20.000 0.00217 0.00179 0.00023 0.00000 0.00419 11 7.711 25.000 0.00217 0.00179 0.00023 0.00000 0.00419 13 9.253 30.000 0.00217 0.00179 0.00023 0.00000 0.00419 15 10.795 35.000 0.00217 0.00179 0.00023 0.00000 0.00419 17 12.338 40.000 0.00217 0.00179 0.00023 0.00000 0.00419 19 13.880 45.000 0.00217 0.00179 0.00023 0.00000 0.00419 21 15.422 50.000 0.00217 0.00179 0.00023 0.00000 0.00419 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 0.0451 0.2633 0.3084 0.8537 0.00419 0.01591 3 1.542 5.000 0.0451 0.2633 0.3084 0.8537 0.00419 0.01591 5 3.084 10.000 0.0451 0.2633 0.3084 0.8537 0.00419 0.01591 7 4.627 15.000 0.0451 0.2633 0.3084 0.8537 0.00419 0.01591 9 6.169 20.000 0.0451 0.2633 0.3084 0.8537 0.00419 0.01591 11 7.711 25.000 0.0451 0.2633 0.3084 0.8537 0.00419 0.01591 13 9.253 30.000 0.0451 0.2633 0.3084 0.8537 0.00419 0.01591 15 10.795 35.000 0.0451 0.2633 0.3084 0.8537 0.00419 0.01591 17 12.338 40.000 0.0451 0.2633 0.3084 0.8537 0.00419 0.01591 19 13.880 45.000 0.0451 0.2633 0.3084 0.8537 0.00419 0.01591 21 15.422 50.000 0.0451 0.2633 0.3084 0.8537 0.00419 0.01591 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4718E-01 8 20.00 8.1843E-01 7 30.00 6.4771E-01 6 40.00 4.7449E-01 5 50.00 3.2654E-01 4 60.00 2.1509E-01 3 70.00 1.3857E-01 2 80.00 8.9749E-02 1 87.50 6.5057E-02 1 92.50 5.1765E-02 2 100.00 3.9007E-02 3 110.00 2.8454E-02 4 120.00 2.1956E-02 5 130.00 1.7994E-02 6 140.00 1.5574E-02 7 150.00 1.4103E-02 8 160.00 1.3236E-02 9 170.00 1.2779E-02 10 180.00 1.2619E-02 Asymptotic AOP values are MUu(inf) = 0.3758 MUd(inf) = 0.7132 MU(inf) = 0.6298 R(inf) = 0.0437 Lu(inf)/Ed(inf) = 0.009062 (1/sr) k(inf) = 0.0717 (1/m) absorp(check) = 0.0451 = 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 2.0395E-01 2.1495E+00 2.3535E+00 7.5491E-02 1.4954E+00 0.3701 0.6957 0.6033 5.0481E-02 1 0.00 0.00 1.1892E-01 1.7076E+00 1.8265E+00 5.1663E-02 1.4716E+00 0.4344 0.8618 0.7774 3.5107E-02 3 1.54 5.00 9.9674E-02 1.3451E+00 1.4447E+00 4.1163E-02 1.0925E+00 0.4130 0.8123 0.7277 3.7676E-02 5 3.08 10.00 7.8458E-02 1.0203E+00 1.0988E+00 3.1437E-02 7.9710E-01 0.4007 0.7812 0.6968 3.9439E-02 7 4.63 15.00 5.9488E-02 7.5528E-01 8.1476E-01 2.3376E-02 5.7453E-01 0.3930 0.7607 0.6765 4.0688E-02 9 6.17 20.00 4.4014E-02 5.4982E-01 5.9384E-01 1.7069E-02 4.1053E-01 0.3878 0.7467 0.6626 4.1579E-02 11 7.71 25.00 3.2023E-02 3.9559E-01 4.2761E-01 1.2307E-02 2.9154E-01 0.3843 0.7370 0.6530 4.2214E-02 13 9.25 30.00 2.3027E-02 2.8227E-01 3.0530E-01 8.7942E-03 2.0612E-01 0.3819 0.7302 0.6463 4.2666E-02 15 10.80 35.00 1.6423E-02 2.0024E-01 2.1666E-01 6.2447E-03 1.4526E-01 0.3802 0.7255 0.6416 4.2989E-02 17 12.34 40.00 1.1646E-02 1.4146E-01 1.5310E-01 4.4146E-03 1.0215E-01 0.3791 0.7221 0.6383 4.3219E-02 19 13.88 45.00 8.2255E-03 9.9637E-02 1.0786E-01 3.1111E-03 7.1710E-02 0.3782 0.7197 0.6360 4.3384E-02 21 15.42 50.00 5.7928E-03 7.0035E-02 7.5828E-02 2.1875E-03 5.0284E-02 0.3776 0.7180 0.6343 4.3503E-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 0.03573 0.04650 0.04580 0.04134 0.05743 0.05801 0.05517 5.000 5.010 5.005 0.04274 0.05207 0.05143 0.05039 0.06154 0.06197 0.06004 10.000 10.010 10.005 0.05219 0.05804 0.05762 0.05695 0.06441 0.06472 0.06338 15.000 15.010 15.005 0.05813 0.06203 0.06174 0.06130 0.06645 0.06667 0.06572 20.000 20.010 20.005 0.06214 0.06481 0.06461 0.06431 0.06791 0.06807 0.06740 25.000 25.010 25.005 0.06493 0.06677 0.06663 0.06643 0.06895 0.06906 0.06859 30.000 30.010 30.005 0.06687 0.06816 0.06806 0.06792 0.06970 0.06978 0.06944 35.000 35.010 35.005 0.06824 0.06914 0.06907 0.06897 0.07023 0.07029 0.07005 40.000 40.010 40.005 0.06920 0.06983 0.06979 0.06971 0.07061 0.07065 0.07048 45.000 45.010 45.005 0.06987 0.07032 0.07029 0.07024 0.07088 0.07091 0.07079 50.000 50.010 50.005 0.07035 0.07068 0.07065 0.07062 0.07108 0.07110 0.07101 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 1.31908E-01 6.99555E-03 8.48427E-03 1.54798E-02 4.67792E-03 0.064320 9 1 10.0 0.0 180.0 8.13927E-02 7.16878E-03 2.74675E-03 9.91553E-03 4.79376E-03 0.033747 9 4 10.0 45.0 135.0 8.94286E-02 7.11799E-03 3.16313E-03 1.02811E-02 4.75979E-03 0.035370 9 7 10.0 90.0 90.0 1.20826E-01 7.05523E-03 6.26069E-03 1.33159E-02 4.71783E-03 0.051816 8 1 20.0 0.0 180.0 6.39329E-02 7.27825E-03 1.55216E-03 8.83041E-03 4.86696E-03 0.024278 8 4 20.0 45.0 135.0 7.11745E-02 7.17127E-03 1.81610E-03 8.98737E-03 4.79542E-03 0.025516 8 7 20.0 90.0 90.0 1.04659E-01 7.08632E-03 3.84625E-03 1.09326E-02 4.73861E-03 0.036750 7 1 30.0 0.0 180.0 5.54332E-02 7.42261E-03 1.33441E-03 8.75702E-03 4.96349E-03 0.024072 7 4 30.0 45.0 135.0 6.14512E-02 7.36404E-03 1.49785E-03 8.86189E-03 4.92433E-03 0.024375 7 7 30.0 90.0 90.0 8.96620E-02 7.21700E-03 2.52866E-03 9.74566E-03 4.82600E-03 0.028202 6 1 40.0 0.0 180.0 5.26166E-02 7.53967E-03 1.48370E-03 9.02338E-03 5.04177E-03 0.028198 6 4 40.0 45.0 135.0 5.75335E-02 7.45743E-03 1.60916E-03 9.06659E-03 4.98678E-03 0.027969 6 7 40.0 90.0 90.0 8.07761E-02 7.29670E-03 2.32762E-03 9.62432E-03 4.87930E-03 0.028816 5 1 50.0 0.0 180.0 5.51668E-02 7.68276E-03 2.34374E-03 1.00265E-02 5.13745E-03 0.042485 5 4 50.0 45.0 135.0 5.87877E-02 7.54970E-03 2.44175E-03 9.99145E-03 5.04848E-03 0.041535 5 7 50.0 90.0 90.0 7.81434E-02 7.39101E-03 3.15670E-03 1.05477E-02 4.94236E-03 0.040396 4 1 60.0 0.0 180.0 6.54838E-02 7.61310E-03 5.45982E-03 1.30729E-02 5.09087E-03 0.083377 4 4 60.0 45.0 135.0 6.69658E-02 7.46330E-03 5.39147E-03 1.28548E-02 4.99070E-03 0.080511 4 7 60.0 90.0 90.0 8.26940E-02 7.39280E-03 6.29602E-03 1.36888E-02 4.94356E-03 0.076136 3 1 70.0 0.0 180.0 9.08593E-02 7.09506E-03 1.50815E-02 2.21765E-02 4.74446E-03 0.165987 3 4 70.0 45.0 135.0 8.83020E-02 7.02411E-03 1.45112E-02 2.15353E-02 4.69701E-03 0.164336 3 7 70.0 90.0 90.0 9.87195E-02 6.95994E-03 1.57802E-02 2.27402E-02 4.65411E-03 0.159849 2 1 80.0 0.0 180.0 1.54371E-01 6.09590E-03 3.74880E-02 4.35839E-02 4.07633E-03 0.242843 2 4 80.0 45.0 135.0 1.42945E-01 6.01498E-03 3.62587E-02 4.22737E-02 4.02221E-03 0.253655 2 7 80.0 90.0 90.0 1.42017E-01 5.96453E-03 3.79727E-02 4.39373E-02 3.98847E-03 0.267382 1 1 87.5 0.0 180.0 2.49590E-01 4.91691E-03 6.61154E-02 7.10323E-02 3.28793E-03 0.264896 1 4 87.5 45.0 135.0 2.24725E-01 4.61556E-03 6.57072E-02 7.03227E-02 3.08642E-03 0.292389 1 7 87.5 90.0 90.0 2.04450E-01 5.06658E-03 6.72470E-02 7.23136E-02 3.38802E-03 0.328916 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 1.548E-02 1.319E-01 1.603E-01 1.384E-01 2.069E-01 1.035E-02 4.877E+00 6.996E-03 4.678E-03 1 0.00 0.00 1.298E-02 2.456E-01 2.442E-02 2.674E-02 3.599E-02 8.819E-03 3.981E+00 3 1.54 5.00 9.724E-03 4.345E-01 2.023E-02 2.486E-02 4.102E-02 8.901E-03 4.233E+00 5 3.08 10.00 7.139E-03 4.513E-01 1.671E-02 2.142E-02 3.643E-02 8.956E-03 4.404E+00 7 4.63 15.00 5.168E-03 3.834E-01 1.319E-02 1.726E-02 2.914E-02 8.996E-03 4.523E+00 9 6.17 20.00 3.704E-03 2.961E-01 1.015E-02 1.338E-02 2.194E-02 9.023E-03 4.608E+00 11 7.71 25.00 2.636E-03 2.175E-01 7.688E-03 1.010E-02 1.591E-02 9.043E-03 4.668E+00 13 9.25 30.00 1.867E-03 1.556E-01 5.754E-03 7.478E-03 1.127E-02 9.057E-03 4.711E+00 15 10.80 35.00 1.317E-03 1.098E-01 4.266E-03 5.459E-03 7.868E-03 9.066E-03 4.741E+00 17 12.34 40.00 9.268E-04 7.685E-02 3.138E-03 3.943E-03 5.444E-03 9.073E-03 4.763E+00 19 13.88 45.00 6.510E-04 5.361E-02 2.292E-03 2.825E-03 3.748E-03 9.078E-03 4.779E+00 21 15.42 50.00 4.567E-04 3.735E-02 1.665E-03 2.012E-03 2.574E-03 9.082E-03 4.790E+00 Waveband 6 of 30 completed in 5.6 sec. * * * * * Output for wavelength band 7 (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 117.5 m at 465.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 460.0 nm to 470.0 nm: Ed(diffuse) = 4.757E-01 Ed(direct) = 1.013E+00 Ed(total) = 1.489E+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 0.0281 0.0000 0.0047 0.0430 3 1.521 5.000 0.0101 0.0281 0.0000 0.0047 0.0430 5 3.042 10.000 0.0101 0.0281 0.0000 0.0047 0.0430 7 4.563 15.000 0.0101 0.0281 0.0000 0.0047 0.0430 9 6.084 20.000 0.0101 0.0281 0.0000 0.0047 0.0430 11 7.605 25.000 0.0101 0.0281 0.0000 0.0047 0.0430 13 9.126 30.000 0.0101 0.0281 0.0000 0.0047 0.0430 15 10.647 35.000 0.0101 0.0281 0.0000 0.0047 0.0430 17 12.168 40.000 0.0101 0.0281 0.0000 0.0047 0.0430 19 13.689 45.000 0.0101 0.0281 0.0000 0.0047 0.0430 21 15.210 50.000 0.0101 0.0281 0.0000 0.0047 0.0430 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 0.1265 0.1307 0.0000 0.2612 3 1.521 5.000 0.0040 0.1265 0.1307 0.0000 0.2612 5 3.042 10.000 0.0040 0.1265 0.1307 0.0000 0.2612 7 4.563 15.000 0.0040 0.1265 0.1307 0.0000 0.2612 9 6.084 20.000 0.0040 0.1265 0.1307 0.0000 0.2612 11 7.605 25.000 0.0040 0.1265 0.1307 0.0000 0.2612 13 9.126 30.000 0.0040 0.1265 0.1307 0.0000 0.2612 15 10.647 35.000 0.0040 0.1265 0.1307 0.0000 0.2612 17 12.168 40.000 0.0040 0.1265 0.1307 0.0000 0.2612 19 13.689 45.000 0.0040 0.1265 0.1307 0.0000 0.2612 21 15.210 50.000 0.0040 0.1265 0.1307 0.0000 0.2612 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 0.00177 0.00023 0.00000 0.00398 3 1.521 5.000 0.00198 0.00177 0.00023 0.00000 0.00398 5 3.042 10.000 0.00198 0.00177 0.00023 0.00000 0.00398 7 4.563 15.000 0.00198 0.00177 0.00023 0.00000 0.00398 9 6.084 20.000 0.00198 0.00177 0.00023 0.00000 0.00398 11 7.605 25.000 0.00198 0.00177 0.00023 0.00000 0.00398 13 9.126 30.000 0.00198 0.00177 0.00023 0.00000 0.00398 15 10.647 35.000 0.00198 0.00177 0.00023 0.00000 0.00398 17 12.168 40.000 0.00198 0.00177 0.00023 0.00000 0.00398 19 13.689 45.000 0.00198 0.00177 0.00023 0.00000 0.00398 21 15.210 50.000 0.00198 0.00177 0.00023 0.00000 0.00398 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 0.0430 0.2612 0.3042 0.8588 0.00398 0.01524 3 1.521 5.000 0.0430 0.2612 0.3042 0.8588 0.00398 0.01524 5 3.042 10.000 0.0430 0.2612 0.3042 0.8588 0.00398 0.01524 7 4.563 15.000 0.0430 0.2612 0.3042 0.8588 0.00398 0.01524 9 6.084 20.000 0.0430 0.2612 0.3042 0.8588 0.00398 0.01524 11 7.605 25.000 0.0430 0.2612 0.3042 0.8588 0.00398 0.01524 13 9.126 30.000 0.0430 0.2612 0.3042 0.8588 0.00398 0.01524 15 10.647 35.000 0.0430 0.2612 0.3042 0.8588 0.00398 0.01524 17 12.168 40.000 0.0430 0.2612 0.3042 0.8588 0.00398 0.01524 19 13.689 45.000 0.0430 0.2612 0.3042 0.8588 0.00398 0.01524 21 15.210 50.000 0.0430 0.2612 0.3042 0.8588 0.00398 0.01524 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4835E-01 8 20.00 8.2213E-01 7 30.00 6.5395E-01 6 40.00 4.8213E-01 5 50.00 3.3416E-01 4 60.00 2.2166E-01 3 70.00 1.4369E-01 2 80.00 9.3477E-02 1 87.50 6.7879E-02 1 92.50 5.4015E-02 2 100.00 4.0663E-02 3 110.00 2.9577E-02 4 120.00 2.2720E-02 5 130.00 1.8526E-02 6 140.00 1.5957E-02 7 150.00 1.4392E-02 8 160.00 1.3468E-02 9 170.00 1.2980E-02 10 180.00 1.2810E-02 Asymptotic AOP values are MUu(inf) = 0.3738 MUd(inf) = 0.7103 MU(inf) = 0.6258 R(inf) = 0.0445 Lu(inf)/Ed(inf) = 0.009080 (1/sr) k(inf) = 0.0687 (1/m) absorp(check) = 0.0430 = 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 2.0192E-01 2.1311E+00 2.3330E+00 7.5498E-02 1.4892E+00 0.3739 0.6988 0.6059 5.0697E-02 1 0.00 0.00 1.2252E-01 1.7031E+00 1.8257E+00 5.3230E-02 1.4669E+00 0.4344 0.8613 0.7743 3.6287E-02 3 1.52 5.00 1.0414E-01 1.3614E+00 1.4655E+00 4.3034E-02 1.1053E+00 0.4132 0.8119 0.7248 3.8935E-02 5 3.04 10.00 8.3312E-02 1.0493E+00 1.1327E+00 3.3390E-02 8.1892E-01 0.4008 0.7804 0.6935 4.0773E-02 7 4.56 15.00 6.4222E-02 7.8957E-01 8.5379E-01 2.5231E-02 5.9957E-01 0.3929 0.7594 0.6727 4.2082E-02 9 6.08 20.00 4.8308E-02 5.8427E-01 6.3258E-01 1.8722E-02 4.3523E-01 0.3876 0.7449 0.6584 4.3017E-02 11 7.61 25.00 3.5727E-02 4.2728E-01 4.6300E-01 1.3716E-02 3.1399E-01 0.3839 0.7349 0.6485 4.3683E-02 13 9.13 30.00 2.6110E-02 3.0985E-01 3.3596E-01 9.9574E-03 2.2551E-01 0.3814 0.7278 0.6416 4.4155E-02 15 10.65 35.00 1.8922E-02 2.2335E-01 2.4228E-01 7.1824E-03 1.6144E-01 0.3796 0.7228 0.6367 4.4489E-02 17 12.17 40.00 1.3632E-02 1.6032E-01 1.7395E-01 5.1572E-03 1.1531E-01 0.3783 0.7193 0.6333 4.4724E-02 19 13.69 45.00 9.7796E-03 1.1472E-01 1.2450E-01 3.6909E-03 8.2225E-02 0.3774 0.7167 0.6308 4.4888E-02 21 15.21 50.00 6.9950E-03 8.1914E-02 8.8909E-02 2.6354E-03 5.8561E-02 0.3768 0.7149 0.6290 4.5003E-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 0.03383 0.04399 0.04331 0.03877 0.05458 0.05518 0.05235 5.000 5.010 5.005 0.03962 0.04894 0.04828 0.04730 0.05850 0.05895 0.05705 10.000 10.010 10.005 0.04891 0.05479 0.05436 0.05375 0.06130 0.06162 0.06032 15.000 15.010 15.005 0.05482 0.05875 0.05846 0.05808 0.06331 0.06353 0.06265 20.000 20.010 20.005 0.05885 0.06154 0.06134 0.06110 0.06475 0.06492 0.06433 25.000 25.010 25.005 0.06167 0.06352 0.06338 0.06325 0.06580 0.06592 0.06553 30.000 30.010 30.005 0.06366 0.06494 0.06484 0.06477 0.06655 0.06664 0.06639 35.000 35.010 35.005 0.06506 0.06594 0.06587 0.06585 0.06710 0.06715 0.06701 40.000 40.010 40.005 0.06605 0.06666 0.06661 0.06661 0.06749 0.06753 0.06746 45.000 45.010 45.005 0.06676 0.06717 0.06714 0.06716 0.06777 0.06780 0.06778 50.000 50.010 50.005 0.06726 0.06754 0.06752 0.06756 0.06798 0.06800 0.06801 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 1.28363E-01 7.17322E-03 8.42910E-03 1.56023E-02 4.81686E-03 0.065666 9 1 10.0 0.0 180.0 7.92052E-02 7.33940E-03 2.69613E-03 1.00355E-02 4.92845E-03 0.034040 9 4 10.0 45.0 135.0 8.70251E-02 7.29129E-03 3.10798E-03 1.03993E-02 4.89614E-03 0.035714 9 7 10.0 90.0 90.0 1.17578E-01 7.23645E-03 6.19937E-03 1.34358E-02 4.85932E-03 0.052726 8 1 20.0 0.0 180.0 6.22146E-02 7.44699E-03 1.51161E-03 8.95860E-03 5.00069E-03 0.024297 8 4 20.0 45.0 135.0 6.92616E-02 7.34396E-03 1.77032E-03 9.11428E-03 4.93151E-03 0.025560 8 7 20.0 90.0 90.0 1.01846E-01 7.27242E-03 3.78355E-03 1.10560E-02 4.88347E-03 0.037150 7 1 30.0 0.0 180.0 5.39434E-02 7.59202E-03 1.29855E-03 8.89057E-03 5.09809E-03 0.024072 7 4 30.0 45.0 135.0 5.98005E-02 7.54108E-03 1.45774E-03 8.99882E-03 5.06387E-03 0.024377 7 7 30.0 90.0 90.0 8.72468E-02 7.41186E-03 2.46870E-03 9.88056E-03 4.97711E-03 0.028296 6 1 40.0 0.0 180.0 5.12025E-02 7.71141E-03 1.44382E-03 9.15524E-03 5.17826E-03 0.028198 6 4 40.0 45.0 135.0 5.59872E-02 7.63908E-03 1.56591E-03 9.20499E-03 5.12968E-03 0.027969 6 7 40.0 90.0 90.0 7.86051E-02 7.50255E-03 2.26558E-03 9.76813E-03 5.03801E-03 0.028822 5 1 50.0 0.0 180.0 5.36841E-02 7.85958E-03 2.28075E-03 1.01403E-02 5.27775E-03 0.042485 5 4 50.0 45.0 135.0 5.72076E-02 7.73727E-03 2.37612E-03 1.01134E-02 5.19562E-03 0.041535 5 7 50.0 90.0 90.0 7.60432E-02 7.60751E-03 3.07186E-03 1.06794E-02 5.10848E-03 0.040396 4 1 60.0 0.0 180.0 6.37239E-02 7.79071E-03 5.31308E-03 1.31038E-02 5.23151E-03 0.083377 4 4 60.0 45.0 135.0 6.51660E-02 7.65270E-03 5.24657E-03 1.28993E-02 5.13883E-03 0.080511 4 7 60.0 90.0 90.0 8.04715E-02 7.61695E-03 6.12680E-03 1.37438E-02 5.11483E-03 0.076136 3 1 70.0 0.0 180.0 8.84173E-02 7.26364E-03 1.46761E-02 2.19398E-02 4.87758E-03 0.165987 3 4 70.0 45.0 135.0 8.59287E-02 7.20651E-03 1.41212E-02 2.13277E-02 4.83921E-03 0.164336 3 7 70.0 90.0 90.0 9.60663E-02 7.17750E-03 1.53561E-02 2.25336E-02 4.81973E-03 0.159849 2 1 80.0 0.0 180.0 1.50222E-01 6.24306E-03 3.64805E-02 4.27236E-02 4.19225E-03 0.242843 2 4 80.0 45.0 135.0 1.39103E-01 6.17423E-03 3.52842E-02 4.14584E-02 4.14603E-03 0.253655 2 7 80.0 90.0 90.0 1.38200E-01 6.15526E-03 3.69522E-02 4.31074E-02 4.13329E-03 0.267382 1 1 87.5 0.0 180.0 2.42882E-01 5.03718E-03 6.43384E-02 6.93756E-02 3.38249E-03 0.264896 1 4 87.5 45.0 135.0 2.18685E-01 4.73955E-03 6.39412E-02 6.86807E-02 3.18263E-03 0.292389 1 7 87.5 90.0 90.0 1.98955E-01 5.23099E-03 6.54396E-02 7.06706E-02 3.51264E-03 0.328916 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 1.560E-02 1.284E-01 1.561E-01 1.348E-01 2.015E-01 1.048E-02 4.839E+00 7.173E-03 4.817E-03 1 0.00 0.00 1.331E-02 2.390E-01 2.499E-02 2.752E-02 3.711E-02 9.072E-03 4.000E+00 3 1.52 5.00 1.012E-02 4.348E-01 2.093E-02 2.580E-02 4.261E-02 9.154E-03 4.253E+00 5 3.04 10.00 7.542E-03 4.599E-01 1.758E-02 2.261E-02 3.853E-02 9.210E-03 4.427E+00 7 4.56 15.00 5.544E-03 3.972E-01 1.411E-02 1.854E-02 3.140E-02 9.247E-03 4.551E+00 9 6.08 20.00 4.035E-03 3.116E-01 1.104E-02 1.462E-02 2.408E-02 9.272E-03 4.640E+00 11 7.61 25.00 2.916E-03 2.324E-01 8.506E-03 1.122E-02 1.779E-02 9.288E-03 4.703E+00 13 9.13 30.00 2.097E-03 1.688E-01 6.473E-03 8.454E-03 1.282E-02 9.298E-03 4.749E+00 15 10.65 35.00 1.502E-03 1.209E-01 4.878E-03 6.275E-03 9.101E-03 9.303E-03 4.782E+00 17 12.17 40.00 1.073E-03 8.589E-02 3.647E-03 4.608E-03 6.401E-03 9.306E-03 4.806E+00 19 13.69 45.00 7.652E-04 6.081E-02 2.708E-03 3.355E-03 4.479E-03 9.307E-03 4.823E+00 21 15.21 50.00 5.449E-04 4.300E-02 1.999E-03 2.428E-03 3.125E-03 9.306E-03 4.836E+00 Waveband 7 of 30 completed in 5.5 sec. * * * * * Output for wavelength band 8 (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 117.5 m at 475.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 470.0 nm to 480.0 nm: Ed(diffuse) = 4.727E-01 Ed(direct) = 1.039E+00 Ed(total) = 1.512E+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 0.0259 0.0000 0.0041 0.0414 3 1.503 5.000 0.0114 0.0259 0.0000 0.0041 0.0414 5 3.007 10.000 0.0114 0.0259 0.0000 0.0041 0.0414 7 4.510 15.000 0.0114 0.0259 0.0000 0.0041 0.0414 9 6.014 20.000 0.0114 0.0259 0.0000 0.0041 0.0414 11 7.517 25.000 0.0114 0.0259 0.0000 0.0041 0.0414 13 9.020 30.000 0.0114 0.0259 0.0000 0.0041 0.0414 15 10.524 35.000 0.0114 0.0259 0.0000 0.0041 0.0414 17 12.027 40.000 0.0114 0.0259 0.0000 0.0041 0.0414 19 13.531 45.000 0.0114 0.0259 0.0000 0.0041 0.0414 21 15.034 50.000 0.0114 0.0259 0.0000 0.0041 0.0414 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 0.1257 0.1299 0.0000 0.2593 3 1.503 5.000 0.0036 0.1257 0.1299 0.0000 0.2593 5 3.007 10.000 0.0036 0.1257 0.1299 0.0000 0.2593 7 4.510 15.000 0.0036 0.1257 0.1299 0.0000 0.2593 9 6.014 20.000 0.0036 0.1257 0.1299 0.0000 0.2593 11 7.517 25.000 0.0036 0.1257 0.1299 0.0000 0.2593 13 9.020 30.000 0.0036 0.1257 0.1299 0.0000 0.2593 15 10.524 35.000 0.0036 0.1257 0.1299 0.0000 0.2593 17 12.027 40.000 0.0036 0.1257 0.1299 0.0000 0.2593 19 13.531 45.000 0.0036 0.1257 0.1299 0.0000 0.2593 21 15.034 50.000 0.0036 0.1257 0.1299 0.0000 0.2593 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 0.00176 0.00023 0.00000 0.00379 3 1.503 5.000 0.00180 0.00176 0.00023 0.00000 0.00379 5 3.007 10.000 0.00180 0.00176 0.00023 0.00000 0.00379 7 4.510 15.000 0.00180 0.00176 0.00023 0.00000 0.00379 9 6.014 20.000 0.00180 0.00176 0.00023 0.00000 0.00379 11 7.517 25.000 0.00180 0.00176 0.00023 0.00000 0.00379 13 9.020 30.000 0.00180 0.00176 0.00023 0.00000 0.00379 15 10.524 35.000 0.00180 0.00176 0.00023 0.00000 0.00379 17 12.027 40.000 0.00180 0.00176 0.00023 0.00000 0.00379 19 13.531 45.000 0.00180 0.00176 0.00023 0.00000 0.00379 21 15.034 50.000 0.00180 0.00176 0.00023 0.00000 0.00379 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 0.0414 0.2593 0.3007 0.8622 0.00379 0.01464 3 1.503 5.000 0.0414 0.2593 0.3007 0.8622 0.00379 0.01464 5 3.007 10.000 0.0414 0.2593 0.3007 0.8622 0.00379 0.01464 7 4.510 15.000 0.0414 0.2593 0.3007 0.8622 0.00379 0.01464 9 6.014 20.000 0.0414 0.2593 0.3007 0.8622 0.00379 0.01464 11 7.517 25.000 0.0414 0.2593 0.3007 0.8622 0.00379 0.01464 13 9.020 30.000 0.0414 0.2593 0.3007 0.8622 0.00379 0.01464 15 10.524 35.000 0.0414 0.2593 0.3007 0.8622 0.00379 0.01464 17 12.027 40.000 0.0414 0.2593 0.3007 0.8622 0.00379 0.01464 19 13.531 45.000 0.0414 0.2593 0.3007 0.8622 0.00379 0.01464 21 15.034 50.000 0.0414 0.2593 0.3007 0.8622 0.00379 0.01464 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4915E-01 8 20.00 8.2467E-01 7 30.00 6.5824E-01 6 40.00 4.8740E-01 5 50.00 3.3942E-01 4 60.00 2.2619E-01 3 70.00 1.4720E-01 2 80.00 9.6004E-02 1 87.50 6.9763E-02 1 92.50 5.5490E-02 2 100.00 4.1714E-02 3 110.00 3.0247E-02 4 120.00 2.3135E-02 5 130.00 1.8776E-02 6 140.00 1.6102E-02 7 150.00 1.4471E-02 8 160.00 1.3507E-02 9 170.00 1.2997E-02 10 180.00 1.2820E-02 Asymptotic AOP values are MUu(inf) = 0.3718 MUd(inf) = 0.7084 MU(inf) = 0.6235 R(inf) = 0.0448 Lu(inf)/Ed(inf) = 0.009006 (1/sr) k(inf) = 0.0664 (1/m) absorp(check) = 0.0414 = 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 2.0278E-01 2.1546E+00 2.3574E+00 7.6350E-02 1.5117E+00 0.3765 0.7016 0.6089 5.0506E-02 1 0.00 0.00 1.2542E-01 1.7292E+00 1.8546E+00 5.4410E-02 1.4897E+00 0.4338 0.8615 0.7739 3.6524E-02 3 1.50 5.00 1.0779E-01 1.3968E+00 1.5046E+00 4.4479E-02 1.1345E+00 0.4127 0.8123 0.7245 3.9205E-02 5 3.01 10.00 8.7295E-02 1.0891E+00 1.1764E+00 3.4921E-02 8.5000E-01 0.4000 0.7805 0.6929 4.1084E-02 7 4.51 15.00 6.8134E-02 8.2922E-01 8.9735E-01 2.6704E-02 6.2943E-01 0.3919 0.7591 0.6717 4.2426E-02 9 6.01 20.00 5.1885E-02 6.2096E-01 6.7284E-01 2.0052E-02 4.6216E-01 0.3865 0.7443 0.6571 4.3386E-02 11 7.52 25.00 3.8839E-02 4.5952E-01 4.9836E-01 1.4863E-02 3.3726E-01 0.3827 0.7339 0.6469 4.4070E-02 13 9.02 30.00 2.8723E-02 3.3717E-01 3.6589E-01 1.0916E-02 2.4500E-01 0.3800 0.7266 0.6398 4.4554E-02 15 10.52 35.00 2.1061E-02 2.4590E-01 2.6696E-01 7.9644E-03 1.7741E-01 0.3782 0.7215 0.6347 4.4893E-02 17 12.03 40.00 1.5350E-02 1.7855E-01 1.9390E-01 5.7839E-03 1.2816E-01 0.3768 0.7178 0.6311 4.5130E-02 19 13.53 45.00 1.1138E-02 1.2925E-01 1.4039E-01 4.1863E-03 9.2428E-02 0.3758 0.7151 0.6286 4.5292E-02 21 15.03 50.00 8.0575E-03 9.3344E-02 1.0140E-01 3.0226E-03 6.6573E-02 0.3751 0.7132 0.6267 4.5403E-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 0.03181 0.04211 0.04141 0.03673 0.05253 0.05313 0.05031 5.000 5.010 5.005 0.03721 0.04670 0.04602 0.04498 0.05630 0.05677 0.05489 10.000 10.010 10.005 0.04642 0.05245 0.05200 0.05137 0.05904 0.05937 0.05812 15.000 15.010 15.005 0.05235 0.05638 0.05607 0.05570 0.06102 0.06126 0.06043 20.000 20.010 20.005 0.05641 0.05916 0.05895 0.05875 0.06246 0.06263 0.06211 25.000 25.010 25.005 0.05927 0.06116 0.06101 0.06092 0.06351 0.06363 0.06332 30.000 30.010 30.005 0.06130 0.06259 0.06249 0.06246 0.06427 0.06436 0.06419 35.000 35.010 35.005 0.06273 0.06362 0.06355 0.06357 0.06482 0.06488 0.06482 40.000 40.010 40.005 0.06376 0.06435 0.06431 0.06436 0.06522 0.06526 0.06527 45.000 45.010 45.005 0.06448 0.06488 0.06485 0.06492 0.06551 0.06554 0.06560 50.000 50.010 50.005 0.06501 0.06527 0.06525 0.06533 0.06573 0.06575 0.06583 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 1.27561E-01 7.28586E-03 8.53835E-03 1.58242E-02 4.81970E-03 0.066936 9 1 10.0 0.0 180.0 7.87103E-02 7.44620E-03 2.70103E-03 1.01472E-02 4.92577E-03 0.034316 9 4 10.0 45.0 135.0 8.64814E-02 7.40035E-03 3.11653E-03 1.05169E-02 4.89544E-03 0.036037 9 7 10.0 90.0 90.0 1.16844E-01 7.35208E-03 6.26082E-03 1.36129E-02 4.86351E-03 0.053583 8 1 20.0 0.0 180.0 6.18259E-02 7.55274E-03 1.50327E-03 9.05601E-03 4.99625E-03 0.024315 8 4 20.0 45.0 135.0 6.88288E-02 7.45314E-03 1.76211E-03 9.21525E-03 4.93036E-03 0.025601 8 7 20.0 90.0 90.0 1.01210E-01 7.39270E-03 3.79801E-03 1.11907E-02 4.89038E-03 0.037526 7 1 30.0 0.0 180.0 5.36063E-02 7.69886E-03 1.29043E-03 8.98929E-03 5.09291E-03 0.024072 7 4 30.0 45.0 135.0 5.94277E-02 7.65402E-03 1.44877E-03 9.10279E-03 5.06324E-03 0.024379 7 7 30.0 90.0 90.0 8.66965E-02 7.53985E-03 2.46077E-03 1.00006E-02 4.98772E-03 0.028384 6 1 40.0 0.0 180.0 5.08826E-02 7.82135E-03 1.43480E-03 9.25615E-03 5.17394E-03 0.028198 6 4 40.0 45.0 135.0 5.56374E-02 7.75707E-03 1.55613E-03 9.31320E-03 5.13141E-03 0.027969 6 7 40.0 90.0 90.0 7.81140E-02 7.64127E-03 2.25191E-03 9.89318E-03 5.05481E-03 0.028829 5 1 50.0 0.0 180.0 5.33487E-02 7.97464E-03 2.26650E-03 1.02411E-02 5.27534E-03 0.042485 5 4 50.0 45.0 135.0 5.68502E-02 7.86135E-03 2.36127E-03 1.02226E-02 5.20039E-03 0.041535 5 7 50.0 90.0 90.0 7.55680E-02 7.75689E-03 3.05267E-03 1.08096E-02 5.13129E-03 0.040396 4 1 60.0 0.0 180.0 6.33257E-02 7.90820E-03 5.27988E-03 1.31881E-02 5.23139E-03 0.083377 4 4 60.0 45.0 135.0 6.47589E-02 7.78025E-03 5.21379E-03 1.29940E-02 5.14675E-03 0.080511 4 7 60.0 90.0 90.0 7.99687E-02 7.77510E-03 6.08852E-03 1.38636E-02 5.14334E-03 0.076136 3 1 70.0 0.0 180.0 8.78649E-02 7.37716E-03 1.45844E-02 2.19616E-02 4.88010E-03 0.165987 3 4 70.0 45.0 135.0 8.53918E-02 7.33171E-03 1.40329E-02 2.13646E-02 4.85003E-03 0.164336 3 7 70.0 90.0 90.0 9.54660E-02 7.33464E-03 1.52602E-02 2.25948E-02 4.85197E-03 0.159849 2 1 80.0 0.0 180.0 1.49284E-01 6.34370E-03 3.62526E-02 4.25963E-02 4.19645E-03 0.242843 2 4 80.0 45.0 135.0 1.38234E-01 6.28536E-03 3.50637E-02 4.13491E-02 4.15786E-03 0.253655 2 7 80.0 90.0 90.0 1.37336E-01 6.29575E-03 3.67213E-02 4.30170E-02 4.16473E-03 0.267382 1 1 87.5 0.0 180.0 2.41364E-01 5.12059E-03 6.39364E-02 6.90570E-02 3.38735E-03 0.264896 1 4 87.5 45.0 135.0 2.17319E-01 4.82735E-03 6.35417E-02 6.83690E-02 3.19336E-03 0.292389 1 7 87.5 90.0 90.0 1.97712E-01 5.35432E-03 6.50307E-02 7.03851E-02 3.54196E-03 0.328916 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 1.582E-02 1.276E-01 1.552E-01 1.340E-01 2.004E-01 1.047E-02 4.825E+00 7.286E-03 4.820E-03 1 0.00 0.00 1.352E-02 2.375E-01 2.543E-02 2.818E-02 3.823E-02 9.073E-03 4.026E+00 3 1.50 5.00 1.039E-02 4.421E-01 2.149E-02 2.665E-02 4.425E-02 9.154E-03 4.283E+00 5 3.01 10.00 7.826E-03 4.743E-01 1.827E-02 2.365E-02 4.058E-02 9.207E-03 4.462E+00 7 4.51 15.00 5.817E-03 4.149E-01 1.486E-02 1.966E-02 3.354E-02 9.242E-03 4.590E+00 9 6.01 20.00 4.281E-03 3.293E-01 1.178E-02 1.570E-02 2.609E-02 9.264E-03 4.683E+00 11 7.52 25.00 3.129E-03 2.485E-01 9.188E-03 1.222E-02 1.952E-02 9.276E-03 4.751E+00 13 9.02 30.00 2.274E-03 1.825E-01 7.080E-03 9.316E-03 1.425E-02 9.283E-03 4.800E+00 15 10.52 35.00 1.647E-03 1.321E-01 5.402E-03 7.002E-03 1.024E-02 9.285E-03 4.835E+00 17 12.03 40.00 1.190E-03 9.491E-02 4.089E-03 5.204E-03 7.293E-03 9.284E-03 4.861E+00 19 13.53 45.00 8.578E-04 6.793E-02 3.073E-03 3.835E-03 5.162E-03 9.281E-03 4.880E+00 21 15.03 50.00 6.176E-04 4.855E-02 2.296E-03 2.809E-03 3.644E-03 9.276E-03 4.894E+00 Waveband 8 of 30 completed in 5.5 sec. * * * * * Output for wavelength band 9 (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 117.5 m at 485.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 480.0 nm to 490.0 nm: Ed(diffuse) = 4.491E-01 Ed(direct) = 1.015E+00 Ed(total) = 1.464E+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 0.0236 0.0000 0.0036 0.0407 3 1.490 5.000 0.0136 0.0236 0.0000 0.0036 0.0407 5 2.981 10.000 0.0136 0.0236 0.0000 0.0036 0.0407 7 4.471 15.000 0.0136 0.0236 0.0000 0.0036 0.0407 9 5.962 20.000 0.0136 0.0236 0.0000 0.0036 0.0407 11 7.452 25.000 0.0136 0.0236 0.0000 0.0036 0.0407 13 8.943 30.000 0.0136 0.0236 0.0000 0.0036 0.0407 15 10.433 35.000 0.0136 0.0236 0.0000 0.0036 0.0407 17 11.924 40.000 0.0136 0.0236 0.0000 0.0036 0.0407 19 13.414 45.000 0.0136 0.0236 0.0000 0.0036 0.0407 21 14.905 50.000 0.0136 0.0236 0.0000 0.0036 0.0407 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 0.1250 0.1291 0.0000 0.2573 3 1.490 5.000 0.0033 0.1250 0.1291 0.0000 0.2573 5 2.981 10.000 0.0033 0.1250 0.1291 0.0000 0.2573 7 4.471 15.000 0.0033 0.1250 0.1291 0.0000 0.2573 9 5.962 20.000 0.0033 0.1250 0.1291 0.0000 0.2573 11 7.452 25.000 0.0033 0.1250 0.1291 0.0000 0.2573 13 8.943 30.000 0.0033 0.1250 0.1291 0.0000 0.2573 15 10.433 35.000 0.0033 0.1250 0.1291 0.0000 0.2573 17 11.924 40.000 0.0033 0.1250 0.1291 0.0000 0.2573 19 13.414 45.000 0.0033 0.1250 0.1291 0.0000 0.2573 21 14.905 50.000 0.0033 0.1250 0.1291 0.0000 0.2573 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 0.00175 0.00023 0.00000 0.00363 3 1.490 5.000 0.00165 0.00175 0.00023 0.00000 0.00363 5 2.981 10.000 0.00165 0.00175 0.00023 0.00000 0.00363 7 4.471 15.000 0.00165 0.00175 0.00023 0.00000 0.00363 9 5.962 20.000 0.00165 0.00175 0.00023 0.00000 0.00363 11 7.452 25.000 0.00165 0.00175 0.00023 0.00000 0.00363 13 8.943 30.000 0.00165 0.00175 0.00023 0.00000 0.00363 15 10.433 35.000 0.00165 0.00175 0.00023 0.00000 0.00363 17 11.924 40.000 0.00165 0.00175 0.00023 0.00000 0.00363 19 13.414 45.000 0.00165 0.00175 0.00023 0.00000 0.00363 21 14.905 50.000 0.00165 0.00175 0.00023 0.00000 0.00363 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 0.0407 0.2573 0.2981 0.8633 0.00363 0.01409 3 1.490 5.000 0.0407 0.2573 0.2981 0.8633 0.00363 0.01409 5 2.981 10.000 0.0407 0.2573 0.2981 0.8633 0.00363 0.01409 7 4.471 15.000 0.0407 0.2573 0.2981 0.8633 0.00363 0.01409 9 5.962 20.000 0.0407 0.2573 0.2981 0.8633 0.00363 0.01409 11 7.452 25.000 0.0407 0.2573 0.2981 0.8633 0.00363 0.01409 13 8.943 30.000 0.0407 0.2573 0.2981 0.8633 0.00363 0.01409 15 10.433 35.000 0.0407 0.2573 0.2981 0.8633 0.00363 0.01409 17 11.924 40.000 0.0407 0.2573 0.2981 0.8633 0.00363 0.01409 19 13.414 45.000 0.0407 0.2573 0.2981 0.8633 0.00363 0.01409 21 14.905 50.000 0.0407 0.2573 0.2981 0.8633 0.00363 0.01409 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4941E-01 8 20.00 8.2548E-01 7 30.00 6.5958E-01 6 40.00 4.8900E-01 5 50.00 3.4094E-01 4 60.00 2.2740E-01 3 70.00 1.4802E-01 2 80.00 9.6482E-02 1 87.50 7.0021E-02 1 92.50 5.5611E-02 2 100.00 4.1701E-02 3 110.00 3.0119E-02 4 120.00 2.2935E-02 5 130.00 1.8533E-02 6 140.00 1.5832E-02 7 150.00 1.4186E-02 8 160.00 1.3213E-02 9 170.00 1.2698E-02 10 180.00 1.2519E-02 Asymptotic AOP values are MUu(inf) = 0.3697 MUd(inf) = 0.7080 MU(inf) = 0.6240 R(inf) = 0.0441 Lu(inf)/Ed(inf) = 0.008773 (1/sr) k(inf) = 0.0653 (1/m) absorp(check) = 0.0407 = 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 1.9332E-01 2.0794E+00 2.2727E+00 7.3075E-02 1.4641E+00 0.3780 0.7041 0.6121 4.9912E-02 1 0.00 0.00 1.1934E-01 1.6726E+00 1.7919E+00 5.1649E-02 1.4427E+00 0.4328 0.8625 0.7763 3.5801E-02 3 1.49 5.00 1.0329E-01 1.3581E+00 1.4613E+00 4.2500E-02 1.1046E+00 0.4115 0.8134 0.7268 3.8474E-02 5 2.98 10.00 8.4261E-02 1.0651E+00 1.1493E+00 3.3592E-02 8.3234E-01 0.3987 0.7815 0.6950 4.0359E-02 7 4.47 15.00 6.6232E-02 8.1588E-01 8.8211E-01 2.5859E-02 6.1997E-01 0.3904 0.7599 0.6735 4.1711E-02 9 5.96 20.00 5.0784E-02 6.1473E-01 6.6552E-01 1.9544E-02 4.5791E-01 0.3848 0.7449 0.6587 4.2682E-02 11 7.45 25.00 3.8270E-02 4.5772E-01 4.9599E-01 1.4580E-02 3.3613E-01 0.3810 0.7344 0.6483 4.3375E-02 13 8.94 30.00 2.8486E-02 3.3790E-01 3.6639E-01 1.0775E-02 2.4563E-01 0.3783 0.7269 0.6410 4.3867E-02 15 10.43 35.00 2.1020E-02 2.4793E-01 2.6895E-01 7.9100E-03 1.7891E-01 0.3763 0.7216 0.6358 4.4212E-02 17 11.92 40.00 1.5414E-02 1.8111E-01 1.9652E-01 5.7791E-03 1.3001E-01 0.3749 0.7178 0.6321 4.4452E-02 19 13.41 45.00 1.1253E-02 1.3188E-01 1.4313E-01 4.2077E-03 9.4306E-02 0.3739 0.7151 0.6295 4.4618E-02 21 14.90 50.00 8.1893E-03 9.5808E-02 1.0400E-01 3.0560E-03 6.8321E-02 0.3732 0.7131 0.6276 4.4730E-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 0.03041 0.04107 0.04036 0.03545 0.05149 0.05209 0.04921 5.000 5.010 5.005 0.03576 0.04558 0.04488 0.04364 0.05519 0.05565 0.05373 10.000 10.010 10.005 0.04500 0.05125 0.05079 0.05004 0.05788 0.05821 0.05694 15.000 15.010 15.005 0.05095 0.05515 0.05483 0.05438 0.05985 0.06008 0.05925 20.000 20.010 20.005 0.05506 0.05793 0.05771 0.05746 0.06128 0.06145 0.06093 25.000 25.010 25.005 0.05796 0.05993 0.05978 0.05965 0.06233 0.06245 0.06214 30.000 30.010 30.005 0.06002 0.06138 0.06127 0.06123 0.06309 0.06318 0.06302 35.000 35.010 35.005 0.06149 0.06241 0.06234 0.06235 0.06365 0.06371 0.06366 40.000 40.010 40.005 0.06253 0.06316 0.06311 0.06316 0.06405 0.06409 0.06412 45.000 45.010 45.005 0.06328 0.06370 0.06367 0.06374 0.06435 0.06438 0.06445 50.000 50.010 50.005 0.06382 0.06409 0.06407 0.06416 0.06457 0.06459 0.06469 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 1.21185E-01 6.86908E-03 8.25403E-03 1.51231E-02 4.69169E-03 0.068111 9 1 10.0 0.0 180.0 7.47760E-02 7.01465E-03 2.58514E-03 9.59979E-03 4.79111E-03 0.034572 9 4 10.0 45.0 135.0 8.21586E-02 6.97346E-03 2.98536E-03 9.95882E-03 4.76298E-03 0.036337 9 7 10.0 90.0 90.0 1.11003E-01 6.93307E-03 6.03602E-03 1.29691E-02 4.73539E-03 0.054377 8 1 20.0 0.0 180.0 5.87355E-02 7.11364E-03 1.42909E-03 8.54273E-03 4.85872E-03 0.024331 8 4 20.0 45.0 135.0 6.53884E-02 7.02311E-03 1.67654E-03 8.69964E-03 4.79689E-03 0.025640 8 7 20.0 90.0 90.0 9.61506E-02 6.97463E-03 3.64169E-03 1.06163E-02 4.76378E-03 0.037875 7 1 30.0 0.0 180.0 5.09268E-02 7.25111E-03 1.22593E-03 8.47704E-03 4.95261E-03 0.024072 7 4 30.0 45.0 135.0 5.64580E-02 7.21345E-03 1.37647E-03 8.58993E-03 4.92690E-03 0.024380 7 7 30.0 90.0 90.0 8.23585E-02 7.11781E-03 2.34436E-03 9.46216E-03 4.86157E-03 0.028465 6 1 40.0 0.0 180.0 4.83392E-02 7.36827E-03 1.36308E-03 8.73135E-03 5.03264E-03 0.028198 6 4 40.0 45.0 135.0 5.28563E-02 7.31389E-03 1.47835E-03 8.79224E-03 4.99550E-03 0.027969 6 7 40.0 90.0 90.0 7.42095E-02 7.22111E-03 2.13978E-03 9.36089E-03 4.93213E-03 0.028834 5 1 50.0 0.0 180.0 5.06821E-02 7.51560E-03 2.15321E-03 9.66880E-03 5.13327E-03 0.042485 5 4 50.0 45.0 135.0 5.40086E-02 7.41631E-03 2.24325E-03 9.65955E-03 5.06545E-03 0.041535 5 7 50.0 90.0 90.0 7.17908E-02 7.33795E-03 2.90008E-03 1.02380E-02 5.01193E-03 0.040396 4 1 60.0 0.0 180.0 6.01604E-02 7.45627E-03 5.01597E-03 1.24722E-02 5.09274E-03 0.083377 4 4 60.0 45.0 135.0 6.15219E-02 7.34417E-03 4.95318E-03 1.22973E-02 5.01618E-03 0.080511 4 7 60.0 90.0 90.0 7.59715E-02 7.36285E-03 5.78419E-03 1.31470E-02 5.02894E-03 0.076136 3 1 70.0 0.0 180.0 8.34730E-02 6.95939E-03 1.38554E-02 2.08148E-02 4.75337E-03 0.165987 3 4 70.0 45.0 135.0 8.11235E-02 6.92557E-03 1.33315E-02 2.02571E-02 4.73027E-03 0.164336 3 7 70.0 90.0 90.0 9.06942E-02 6.95359E-03 1.44974E-02 2.14510E-02 4.74941E-03 0.159849 2 1 80.0 0.0 180.0 1.41822E-01 5.98751E-03 3.44405E-02 4.04280E-02 4.08956E-03 0.242843 2 4 80.0 45.0 135.0 1.31324E-01 5.94098E-03 3.33111E-02 3.92521E-02 4.05778E-03 0.253655 2 7 80.0 90.0 90.0 1.30472E-01 5.97453E-03 3.48858E-02 4.08603E-02 4.08069E-03 0.267382 1 1 87.5 0.0 180.0 2.29300E-01 4.83546E-03 6.07406E-02 6.55760E-02 3.30269E-03 0.264896 1 4 87.5 45.0 135.0 2.06456E-01 4.56553E-03 6.03656E-02 6.49311E-02 3.11833E-03 0.292389 1 7 87.5 90.0 90.0 1.87830E-01 5.08564E-03 6.17802E-02 6.68658E-02 3.47357E-03 0.328916 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 1.512E-02 1.212E-01 1.474E-01 1.273E-01 1.904E-01 1.033E-02 4.832E+00 6.869E-03 4.692E-03 1 0.00 0.00 1.274E-02 2.257E-01 2.407E-02 2.686E-02 3.675E-02 8.833E-03 4.053E+00 3 1.49 5.00 9.847E-03 4.270E-01 2.048E-02 2.559E-02 4.288E-02 8.914E-03 4.316E+00 5 2.98 10.00 7.464E-03 4.624E-01 1.755E-02 2.290E-02 3.967E-02 8.967E-03 4.501E+00 7 4.47 15.00 5.581E-03 4.075E-01 1.437E-02 1.918E-02 3.306E-02 9.002E-03 4.634E+00 9 5.96 20.00 4.132E-03 3.257E-01 1.148E-02 1.544E-02 2.591E-02 9.023E-03 4.730E+00 11 7.45 25.00 3.037E-03 2.474E-01 9.018E-03 1.209E-02 1.953E-02 9.035E-03 4.801E+00 13 8.94 30.00 2.221E-03 1.829E-01 6.999E-03 9.290E-03 1.436E-02 9.041E-03 4.852E+00 15 10.43 35.00 1.618E-03 1.331E-01 5.378E-03 7.030E-03 1.039E-02 9.042E-03 4.889E+00 17 11.92 40.00 1.175E-03 9.621E-02 4.099E-03 5.260E-03 7.441E-03 9.040E-03 4.917E+00 19 13.41 45.00 8.522E-04 6.926E-02 3.102E-03 3.902E-03 5.299E-03 9.037E-03 4.937E+00 21 14.90 50.00 6.170E-04 4.978E-02 2.334E-03 2.875E-03 3.762E-03 9.031E-03 4.953E+00 Waveband 9 of 30 completed in 5.5 sec. * * * * * Output for wavelength band 10 (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 117.5 m at 495.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 490.0 nm to 500.0 nm: Ed(diffuse) = 4.478E-01 Ed(direct) = 1.039E+00 Ed(total) = 1.487E+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 0.0204 0.0000 0.0031 0.0408 3 1.482 5.000 0.0173 0.0204 0.0000 0.0031 0.0408 5 2.963 10.000 0.0173 0.0204 0.0000 0.0031 0.0408 7 4.445 15.000 0.0173 0.0204 0.0000 0.0031 0.0408 9 5.926 20.000 0.0173 0.0204 0.0000 0.0031 0.0408 11 7.408 25.000 0.0173 0.0204 0.0000 0.0031 0.0408 13 8.889 30.000 0.0173 0.0204 0.0000 0.0031 0.0408 15 10.371 35.000 0.0173 0.0204 0.0000 0.0031 0.0408 17 11.852 40.000 0.0173 0.0204 0.0000 0.0031 0.0408 19 13.334 45.000 0.0173 0.0204 0.0000 0.0031 0.0408 21 14.815 50.000 0.0173 0.0204 0.0000 0.0031 0.0408 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 0.1242 0.1283 0.0000 0.2555 3 1.482 5.000 0.0030 0.1242 0.1283 0.0000 0.2555 5 2.963 10.000 0.0030 0.1242 0.1283 0.0000 0.2555 7 4.445 15.000 0.0030 0.1242 0.1283 0.0000 0.2555 9 5.926 20.000 0.0030 0.1242 0.1283 0.0000 0.2555 11 7.408 25.000 0.0030 0.1242 0.1283 0.0000 0.2555 13 8.889 30.000 0.0030 0.1242 0.1283 0.0000 0.2555 15 10.371 35.000 0.0030 0.1242 0.1283 0.0000 0.2555 17 11.852 40.000 0.0030 0.1242 0.1283 0.0000 0.2555 19 13.334 45.000 0.0030 0.1242 0.1283 0.0000 0.2555 21 14.815 50.000 0.0030 0.1242 0.1283 0.0000 0.2555 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 0.00174 0.00023 0.00000 0.00348 3 1.482 5.000 0.00151 0.00174 0.00023 0.00000 0.00348 5 2.963 10.000 0.00151 0.00174 0.00023 0.00000 0.00348 7 4.445 15.000 0.00151 0.00174 0.00023 0.00000 0.00348 9 5.926 20.000 0.00151 0.00174 0.00023 0.00000 0.00348 11 7.408 25.000 0.00151 0.00174 0.00023 0.00000 0.00348 13 8.889 30.000 0.00151 0.00174 0.00023 0.00000 0.00348 15 10.371 35.000 0.00151 0.00174 0.00023 0.00000 0.00348 17 11.852 40.000 0.00151 0.00174 0.00023 0.00000 0.00348 19 13.334 45.000 0.00151 0.00174 0.00023 0.00000 0.00348 21 14.815 50.000 0.00151 0.00174 0.00023 0.00000 0.00348 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 0.0408 0.2555 0.2963 0.8623 0.00348 0.01360 3 1.482 5.000 0.0408 0.2555 0.2963 0.8623 0.00348 0.01360 5 2.963 10.000 0.0408 0.2555 0.2963 0.8623 0.00348 0.01360 7 4.445 15.000 0.0408 0.2555 0.2963 0.8623 0.00348 0.01360 9 5.926 20.000 0.0408 0.2555 0.2963 0.8623 0.00348 0.01360 11 7.408 25.000 0.0408 0.2555 0.2963 0.8623 0.00348 0.01360 13 8.889 30.000 0.0408 0.2555 0.2963 0.8623 0.00348 0.01360 15 10.371 35.000 0.0408 0.2555 0.2963 0.8623 0.00348 0.01360 17 11.852 40.000 0.0408 0.2555 0.2963 0.8623 0.00348 0.01360 19 13.334 45.000 0.0408 0.2555 0.2963 0.8623 0.00348 0.01360 21 14.815 50.000 0.0408 0.2555 0.2963 0.8623 0.00348 0.01360 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 8.2477E-01 7 30.00 6.5832E-01 6 40.00 4.8734E-01 5 50.00 3.3913E-01 4 60.00 2.2564E-01 3 70.00 1.4644E-01 2 80.00 9.5118E-02 1 87.50 6.8820E-02 1 92.50 5.4520E-02 2 100.00 4.0737E-02 3 110.00 2.9284E-02 4 120.00 2.2196E-02 5 130.00 1.7861E-02 6 140.00 1.5208E-02 7 150.00 1.3592E-02 8 160.00 1.2638E-02 9 170.00 1.2135E-02 10 180.00 1.1960E-02 Asymptotic AOP values are MUu(inf) = 0.3676 MUd(inf) = 0.7090 MU(inf) = 0.6270 R(inf) = 0.0428 Lu(inf)/Ed(inf) = 0.008407 (1/sr) k(inf) = 0.0651 (1/m) absorp(check) = 0.0408 = 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 1.9248E-01 2.1044E+00 2.2969E+00 7.2895E-02 1.4866E+00 0.3787 0.7064 0.6155 4.9034E-02 1 0.00 0.00 1.1672E-01 1.6943E+00 1.8110E+00 5.0361E-02 1.4641E+00 0.4315 0.8641 0.7806 3.4398E-02 3 1.48 5.00 1.0139E-01 1.3767E+00 1.4781E+00 4.1549E-02 1.1222E+00 0.4098 0.8151 0.7311 3.7026E-02 5 2.96 10.00 8.2938E-02 1.0809E+00 1.1638E+00 3.2917E-02 8.4652E-01 0.3969 0.7832 0.6991 3.8885E-02 7 4.44 15.00 6.5354E-02 8.2899E-01 8.9434E-01 2.5393E-02 6.3131E-01 0.3886 0.7615 0.6775 4.0224E-02 9 5.93 20.00 5.0221E-02 6.2543E-01 6.7565E-01 1.9230E-02 4.6686E-01 0.3829 0.7465 0.6625 4.1189E-02 11 7.41 25.00 3.7920E-02 4.6631E-01 5.0423E-01 1.4371E-02 3.4314E-01 0.3790 0.7359 0.6520 4.1881E-02 13 8.89 30.00 2.8278E-02 3.4471E-01 3.7299E-01 1.0638E-02 2.5107E-01 0.3762 0.7283 0.6446 4.2373E-02 15 10.37 35.00 2.0900E-02 2.5325E-01 2.7415E-01 7.8218E-03 1.8309E-01 0.3742 0.7230 0.6393 4.2721E-02 17 11.85 40.00 1.5350E-02 1.8523E-01 2.0058E-01 5.7231E-03 1.3321E-01 0.3728 0.7191 0.6356 4.2964E-02 19 13.33 45.00 1.1223E-02 1.3505E-01 1.4627E-01 4.1728E-03 9.6744E-02 0.3718 0.7164 0.6329 4.3132E-02 21 14.82 50.00 8.1790E-03 9.8234E-02 1.0641E-01 3.0348E-03 7.0172E-02 0.3710 0.7143 0.6309 4.3248E-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 0.02928 0.04075 0.04001 0.03483 0.05130 0.05189 0.04891 5.000 5.010 5.005 0.03515 0.04540 0.04469 0.04315 0.05497 0.05542 0.05342 10.000 10.010 10.005 0.04447 0.05101 0.05055 0.04959 0.05764 0.05797 0.05663 15.000 15.010 15.005 0.05048 0.05489 0.05457 0.05397 0.05960 0.05983 0.05895 20.000 20.010 20.005 0.05464 0.05767 0.05744 0.05708 0.06103 0.06120 0.06064 25.000 25.010 25.005 0.05758 0.05967 0.05951 0.05931 0.06208 0.06220 0.06186 30.000 30.010 30.005 0.05967 0.06111 0.06100 0.06090 0.06285 0.06293 0.06275 35.000 35.010 35.005 0.06117 0.06216 0.06208 0.06205 0.06340 0.06346 0.06339 40.000 40.010 40.005 0.06223 0.06291 0.06285 0.06287 0.06381 0.06385 0.06386 45.000 45.010 45.005 0.06300 0.06345 0.06342 0.06347 0.06411 0.06414 0.06420 50.000 50.010 50.005 0.06354 0.06385 0.06382 0.06389 0.06433 0.06435 0.06444 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 1.20839E-01 6.65238E-03 8.36643E-03 1.50188E-02 4.47485E-03 0.069236 9 1 10.0 0.0 180.0 7.45626E-02 6.78959E-03 2.59601E-03 9.38561E-03 4.56715E-03 0.034817 9 4 10.0 45.0 135.0 8.19242E-02 6.75108E-03 3.00032E-03 9.75141E-03 4.54124E-03 0.036623 9 7 10.0 90.0 90.0 1.10686E-01 6.71551E-03 6.10292E-03 1.28184E-02 4.51732E-03 0.055137 8 1 20.0 0.0 180.0 5.85679E-02 6.88468E-03 1.42594E-03 8.31062E-03 4.63111E-03 0.024347 8 4 20.0 45.0 135.0 6.52019E-02 6.79925E-03 1.67414E-03 8.47340E-03 4.57365E-03 0.025676 8 7 20.0 90.0 90.0 9.58762E-02 6.75824E-03 3.66329E-03 1.04215E-02 4.54606E-03 0.038209 7 1 30.0 0.0 180.0 5.07815E-02 7.01790E-03 1.22243E-03 8.24033E-03 4.72072E-03 0.024072 7 4 30.0 45.0 135.0 5.62976E-02 6.98452E-03 1.37266E-03 8.35718E-03 4.69827E-03 0.024382 7 7 30.0 90.0 90.0 8.21193E-02 6.90034E-03 2.34396E-03 9.24430E-03 4.64165E-03 0.028543 6 1 40.0 0.0 180.0 4.82013E-02 7.13297E-03 1.35919E-03 8.49217E-03 4.79813E-03 0.028198 6 4 40.0 45.0 135.0 5.27055E-02 7.08453E-03 1.47413E-03 8.55866E-03 4.76555E-03 0.027969 6 7 40.0 90.0 90.0 7.39977E-02 7.00652E-03 2.13408E-03 9.14061E-03 4.71307E-03 0.028840 5 1 50.0 0.0 180.0 5.05375E-02 7.27817E-03 2.14706E-03 9.42523E-03 4.89580E-03 0.042485 5 4 50.0 45.0 135.0 5.38545E-02 7.18721E-03 2.23684E-03 9.42405E-03 4.83461E-03 0.041535 5 7 50.0 90.0 90.0 7.15860E-02 7.12629E-03 2.89181E-03 1.00181E-02 4.79363E-03 0.040396 4 1 60.0 0.0 180.0 5.99887E-02 7.22362E-03 5.00165E-03 1.22253E-02 4.85910E-03 0.083377 4 4 60.0 45.0 135.0 6.13464E-02 7.12107E-03 4.93904E-03 1.20601E-02 4.79012E-03 0.080511 4 7 60.0 90.0 90.0 7.57547E-02 7.15713E-03 5.76768E-03 1.29248E-02 4.81438E-03 0.076136 3 1 70.0 0.0 180.0 8.32348E-02 6.74577E-03 1.38159E-02 2.05617E-02 4.53767E-03 0.165987 3 4 70.0 45.0 135.0 8.08921E-02 6.71957E-03 1.32935E-02 2.00130E-02 4.52004E-03 0.164336 3 7 70.0 90.0 90.0 9.04354E-02 6.76664E-03 1.44560E-02 2.12227E-02 4.55171E-03 0.159849 2 1 80.0 0.0 180.0 1.41417E-01 5.80665E-03 3.43422E-02 4.01489E-02 3.90595E-03 0.242843 2 4 80.0 45.0 135.0 1.30950E-01 5.76789E-03 3.32161E-02 3.89839E-02 3.87988E-03 0.253655 2 7 80.0 90.0 90.0 1.30099E-01 5.81960E-03 3.47862E-02 4.06058E-02 3.91466E-03 0.267382 1 1 87.5 0.0 180.0 2.28646E-01 4.69183E-03 6.05673E-02 6.52591E-02 3.15605E-03 0.264896 1 4 87.5 45.0 135.0 2.05867E-01 4.43524E-03 6.01933E-02 6.46286E-02 2.98345E-03 0.292389 1 7 87.5 90.0 90.0 1.87294E-01 4.95854E-03 6.16039E-02 6.65625E-02 3.33546E-03 0.328916 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 1.502E-02 1.208E-01 1.470E-01 1.269E-01 1.898E-01 1.010E-02 4.854E+00 6.652E-03 4.475E-03 1 0.00 0.00 1.234E-02 2.250E-01 2.344E-02 2.633E-02 3.641E-02 8.429E-03 4.081E+00 3 1.48 5.00 9.550E-03 4.309E-01 2.005E-02 2.526E-02 4.281E-02 8.511E-03 4.350E+00 5 2.96 10.00 7.250E-03 4.689E-01 1.723E-02 2.268E-02 3.974E-02 8.565E-03 4.540E+00 7 4.44 15.00 5.429E-03 4.147E-01 1.414E-02 1.905E-02 3.321E-02 8.600E-03 4.677E+00 9 5.93 20.00 4.026E-03 3.324E-01 1.133E-02 1.538E-02 2.610E-02 8.623E-03 4.777E+00 11 7.41 25.00 2.963E-03 2.531E-01 8.921E-03 1.208E-02 1.972E-02 8.636E-03 4.850E+00 13 8.89 30.00 2.170E-03 1.874E-01 6.941E-03 9.297E-03 1.452E-02 8.643E-03 4.903E+00 15 10.37 35.00 1.583E-03 1.367E-01 5.346E-03 7.050E-03 1.052E-02 8.645E-03 4.942E+00 17 11.85 40.00 1.151E-03 9.893E-02 4.084E-03 5.285E-03 7.549E-03 8.644E-03 4.970E+00 19 13.33 45.00 8.360E-04 7.131E-02 3.098E-03 3.928E-03 5.382E-03 8.641E-03 4.992E+00 21 14.82 50.00 6.060E-04 5.132E-02 2.336E-03 2.899E-03 3.825E-03 8.637E-03 5.007E+00 Waveband 10 of 30 completed in 5.4 sec. * * * * * Output for wavelength band 11 (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 117.1 m at 505.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 500.0 nm to 510.0 nm: Ed(diffuse) = 4.326E-01 Ed(direct) = 1.028E+00 Ed(total) = 1.460E+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 0.0161 0.0000 0.0027 0.0444 3 1.491 5.000 0.0256 0.0161 0.0000 0.0027 0.0444 5 2.982 10.000 0.0256 0.0161 0.0000 0.0027 0.0444 7 4.473 15.000 0.0256 0.0161 0.0000 0.0027 0.0444 9 5.964 20.000 0.0256 0.0161 0.0000 0.0027 0.0444 11 7.455 25.000 0.0256 0.0161 0.0000 0.0027 0.0444 13 8.946 30.000 0.0256 0.0161 0.0000 0.0027 0.0444 15 10.437 35.000 0.0256 0.0161 0.0000 0.0027 0.0444 17 11.928 40.000 0.0256 0.0161 0.0000 0.0027 0.0444 19 13.419 45.000 0.0256 0.0161 0.0000 0.0027 0.0444 21 14.909 50.000 0.0256 0.0161 0.0000 0.0027 0.0444 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 0.1234 0.1275 0.0000 0.2538 3 1.491 5.000 0.0028 0.1234 0.1275 0.0000 0.2538 5 2.982 10.000 0.0028 0.1234 0.1275 0.0000 0.2538 7 4.473 15.000 0.0028 0.1234 0.1275 0.0000 0.2538 9 5.964 20.000 0.0028 0.1234 0.1275 0.0000 0.2538 11 7.455 25.000 0.0028 0.1234 0.1275 0.0000 0.2538 13 8.946 30.000 0.0028 0.1234 0.1275 0.0000 0.2538 15 10.437 35.000 0.0028 0.1234 0.1275 0.0000 0.2538 17 11.928 40.000 0.0028 0.1234 0.1275 0.0000 0.2538 19 13.419 45.000 0.0028 0.1234 0.1275 0.0000 0.2538 21 14.909 50.000 0.0028 0.1234 0.1275 0.0000 0.2538 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 0.00173 0.00022 0.00000 0.00334 3 1.491 5.000 0.00138 0.00173 0.00022 0.00000 0.00334 5 2.982 10.000 0.00138 0.00173 0.00022 0.00000 0.00334 7 4.473 15.000 0.00138 0.00173 0.00022 0.00000 0.00334 9 5.964 20.000 0.00138 0.00173 0.00022 0.00000 0.00334 11 7.455 25.000 0.00138 0.00173 0.00022 0.00000 0.00334 13 8.946 30.000 0.00138 0.00173 0.00022 0.00000 0.00334 15 10.437 35.000 0.00138 0.00173 0.00022 0.00000 0.00334 17 11.928 40.000 0.00138 0.00173 0.00022 0.00000 0.00334 19 13.419 45.000 0.00138 0.00173 0.00022 0.00000 0.00334 21 14.909 50.000 0.00138 0.00173 0.00022 0.00000 0.00334 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 0.0444 0.2538 0.2982 0.8510 0.00334 0.01316 3 1.491 5.000 0.0444 0.2538 0.2982 0.8510 0.00334 0.01316 5 2.982 10.000 0.0444 0.2538 0.2982 0.8510 0.00334 0.01316 7 4.473 15.000 0.0444 0.2538 0.2982 0.8510 0.00334 0.01316 9 5.964 20.000 0.0444 0.2538 0.2982 0.8510 0.00334 0.01316 11 7.455 25.000 0.0444 0.2538 0.2982 0.8510 0.00334 0.01316 13 8.946 30.000 0.0444 0.2538 0.2982 0.8510 0.00334 0.01316 15 10.437 35.000 0.0444 0.2538 0.2982 0.8510 0.00334 0.01316 17 11.928 40.000 0.0444 0.2538 0.2982 0.8510 0.00334 0.01316 19 13.419 45.000 0.0444 0.2538 0.2982 0.8510 0.00334 0.01316 21 14.909 50.000 0.0444 0.2538 0.2982 0.8510 0.00334 0.01316 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4661E-01 8 20.00 8.1653E-01 7 30.00 6.4426E-01 6 40.00 4.6979E-01 5 50.00 3.2119E-01 4 60.00 2.0965E-01 3 70.00 1.3344E-01 2 80.00 8.5090E-02 1 87.50 6.0790E-02 1 92.50 4.7773E-02 2 100.00 3.5354E-02 3 110.00 2.5167E-02 4 120.00 1.8950E-02 5 130.00 1.5195E-02 6 140.00 1.2919E-02 7 150.00 1.1545E-02 8 160.00 1.0739E-02 9 170.00 1.0315E-02 10 180.00 1.0168E-02 Asymptotic AOP values are MUu(inf) = 0.3648 MUd(inf) = 0.7169 MU(inf) = 0.6423 R(inf) = 0.0377 Lu(inf)/Ed(inf) = 0.007371 (1/sr) k(inf) = 0.0692 (1/m) absorp(check) = 0.0444 = 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 1.8229E-01 2.0611E+00 2.2434E+00 6.8698E-02 1.4605E+00 0.3769 0.7086 0.6204 4.7038E-02 1 0.00 0.00 1.0159E-01 1.6536E+00 1.7552E+00 4.3586E-02 1.4354E+00 0.4290 0.8680 0.7929 3.0366E-02 3 1.49 5.00 8.6934E-02 1.3166E+00 1.4035E+00 3.5346E-02 1.0786E+00 0.4066 0.8193 0.7433 3.2770E-02 5 2.98 10.00 6.9764E-02 1.0117E+00 1.0814E+00 2.7464E-02 7.9727E-01 0.3937 0.7881 0.7118 3.4448E-02 7 4.47 15.00 5.3872E-02 7.5936E-01 8.1323E-01 2.0765E-02 5.8243E-01 0.3854 0.7670 0.6907 3.5652E-02 9 5.96 20.00 4.0553E-02 5.6069E-01 6.0124E-01 1.5407E-02 4.2187E-01 0.3799 0.7524 0.6760 3.6520E-02 11 7.45 25.00 2.9991E-02 4.0917E-01 4.3916E-01 1.1279E-02 3.0368E-01 0.3761 0.7422 0.6658 3.7142E-02 13 8.95 30.00 2.1904E-02 2.9609E-01 3.1799E-01 8.1794E-03 2.1762E-01 0.3734 0.7350 0.6586 3.7586E-02 15 10.44 35.00 1.5856E-02 2.1297E-01 2.2883E-01 5.8913E-03 1.5544E-01 0.3715 0.7298 0.6535 3.7901E-02 17 11.93 40.00 1.1407E-02 1.5252E-01 1.6393E-01 4.2227E-03 1.1076E-01 0.3702 0.7262 0.6499 3.8124E-02 19 13.42 45.00 8.1688E-03 1.0889E-01 1.1706E-01 3.0162E-03 7.8791E-02 0.3692 0.7236 0.6473 3.8280E-02 21 14.91 50.00 5.8314E-03 7.7571E-02 8.3402E-02 2.1490E-03 5.5979E-02 0.3685 0.7216 0.6454 3.8390E-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 0.03047 0.04392 0.04314 0.03762 0.05514 0.05568 0.05251 5.000 5.010 5.005 0.03879 0.04965 0.04898 0.04691 0.05900 0.05941 0.05728 10.000 10.010 10.005 0.04845 0.05533 0.05488 0.05356 0.06175 0.06204 0.06059 15.000 15.010 15.005 0.05458 0.05921 0.05890 0.05804 0.06374 0.06395 0.06296 20.000 20.010 20.005 0.05878 0.06196 0.06175 0.06119 0.06519 0.06534 0.06468 25.000 25.010 25.005 0.06175 0.06395 0.06380 0.06343 0.06624 0.06635 0.06592 30.000 30.010 30.005 0.06384 0.06536 0.06526 0.06503 0.06701 0.06709 0.06681 35.000 35.010 35.005 0.06532 0.06638 0.06631 0.06617 0.06756 0.06762 0.06746 40.000 40.010 40.005 0.06638 0.06711 0.06706 0.06699 0.06796 0.06800 0.06792 45.000 45.010 45.005 0.06713 0.06764 0.06760 0.06757 0.06825 0.06828 0.06826 50.000 50.010 50.005 0.06767 0.06802 0.06799 0.06800 0.06847 0.06849 0.06851 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 1.16731E-01 5.73266E-03 8.20628E-03 1.39389E-02 3.92519E-03 0.070301 9 1 10.0 0.0 180.0 7.20279E-02 5.85300E-03 2.52445E-03 8.37744E-03 4.00759E-03 0.035048 9 4 10.0 45.0 135.0 7.91393E-02 5.81893E-03 2.91979E-03 8.73872E-03 3.98426E-03 0.036894 9 7 10.0 90.0 90.0 1.06924E-01 5.78633E-03 5.97233E-03 1.17587E-02 3.96194E-03 0.055856 8 1 20.0 0.0 180.0 5.65770E-02 5.93547E-03 1.37831E-03 7.31378E-03 4.06406E-03 0.024362 8 4 20.0 45.0 135.0 6.29854E-02 5.86032E-03 1.61942E-03 7.47974E-03 4.01260E-03 0.025711 8 7 20.0 90.0 90.0 9.26170E-02 5.82186E-03 3.56800E-03 9.38986E-03 3.98627E-03 0.038524 7 1 30.0 0.0 180.0 4.90553E-02 6.05038E-03 1.18088E-03 7.23125E-03 4.14274E-03 0.024072 7 4 30.0 45.0 135.0 5.43844E-02 6.01949E-03 1.32610E-03 7.34560E-03 4.12159E-03 0.024384 7 7 30.0 90.0 90.0 7.93238E-02 5.94281E-03 2.27003E-03 8.21284E-03 4.06909E-03 0.028617 6 1 40.0 0.0 180.0 4.65627E-02 6.14897E-03 1.31299E-03 7.46195E-03 4.21024E-03 0.028198 6 4 40.0 45.0 135.0 5.09138E-02 6.10460E-03 1.42402E-03 7.52862E-03 4.17986E-03 0.027969 6 7 40.0 90.0 90.0 7.14822E-02 6.03247E-03 2.06191E-03 8.09438E-03 4.13047E-03 0.028845 5 1 50.0 0.0 180.0 4.88195E-02 6.27385E-03 2.07407E-03 8.34793E-03 4.29575E-03 0.042485 5 4 50.0 45.0 135.0 5.20237E-02 6.19263E-03 2.16080E-03 8.35343E-03 4.24013E-03 0.041535 5 7 50.0 90.0 90.0 6.91524E-02 6.13538E-03 2.79351E-03 8.92889E-03 4.20094E-03 0.040396 4 1 60.0 0.0 180.0 5.79495E-02 6.22691E-03 4.83163E-03 1.10585E-02 4.26361E-03 0.083377 4 4 60.0 45.0 135.0 5.92610E-02 6.13567E-03 4.77115E-03 1.09068E-02 4.20114E-03 0.080511 4 7 60.0 90.0 90.0 7.31795E-02 6.16261E-03 5.57162E-03 1.17342E-02 4.21958E-03 0.076136 3 1 70.0 0.0 180.0 8.04053E-02 5.81621E-03 1.33462E-02 1.91625E-02 3.98240E-03 0.165987 3 4 70.0 45.0 135.0 7.81422E-02 5.79119E-03 1.28416E-02 1.86328E-02 3.96527E-03 0.164336 3 7 70.0 90.0 90.0 8.73611E-02 5.82943E-03 1.39646E-02 1.97940E-02 3.99145E-03 0.159849 2 1 80.0 0.0 180.0 1.36610E-01 5.00809E-03 3.31748E-02 3.81829E-02 3.42907E-03 0.242843 2 4 80.0 45.0 135.0 1.26498E-01 4.97291E-03 3.20869E-02 3.70598E-02 3.40499E-03 0.253655 2 7 80.0 90.0 90.0 1.25677E-01 5.01696E-03 3.36037E-02 3.86207E-02 3.43515E-03 0.267382 1 1 87.5 0.0 180.0 2.20873E-01 4.04872E-03 5.85083E-02 6.25571E-02 2.77219E-03 0.264896 1 4 87.5 45.0 135.0 1.98869E-01 3.82629E-03 5.81471E-02 6.19734E-02 2.61989E-03 0.292389 1 7 87.5 90.0 90.0 1.80927E-01 4.27909E-03 5.95098E-02 6.37888E-02 2.92993E-03 0.328916 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 1.394E-02 1.167E-01 1.417E-01 1.224E-01 1.831E-01 9.544E-03 4.928E+00 5.733E-03 3.925E-03 1 0.00 0.00 1.063E-02 2.173E-01 2.041E-02 2.306E-02 3.237E-02 7.409E-03 4.099E+00 3 1.49 5.00 8.077E-03 4.130E-01 1.735E-02 2.210E-02 3.815E-02 7.488E-03 4.376E+00 5 2.98 10.00 6.013E-03 4.430E-01 1.463E-02 1.947E-02 3.469E-02 7.542E-03 4.567E+00 7 4.47 15.00 4.414E-03 3.857E-01 1.177E-02 1.602E-02 2.836E-02 7.579E-03 4.704E+00 9 5.96 20.00 3.208E-03 3.040E-01 9.232E-03 1.266E-02 2.179E-02 7.603E-03 4.803E+00 11 7.45 25.00 2.314E-03 2.275E-01 7.126E-03 9.737E-03 1.610E-02 7.619E-03 4.875E+00 13 8.95 30.00 1.660E-03 1.655E-01 5.432E-03 7.340E-03 1.160E-02 7.629E-03 4.927E+00 15 10.44 35.00 1.187E-03 1.185E-01 4.101E-03 5.451E-03 8.219E-03 7.635E-03 4.964E+00 17 11.93 40.00 8.459E-04 8.417E-02 3.071E-03 4.002E-03 5.767E-03 7.637E-03 4.992E+00 19 13.42 45.00 6.018E-04 5.952E-02 2.283E-03 2.913E-03 4.024E-03 7.638E-03 5.012E+00 21 14.91 50.00 4.275E-04 4.201E-02 1.687E-03 2.106E-03 2.798E-03 7.637E-03 5.027E+00 Waveband 11 of 30 completed in 5.6 sec. * * * * * Output for wavelength band 12 (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 115.8 m at 515.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 510.0 nm to 520.0 nm: Ed(diffuse) = 4.102E-01 Ed(direct) = 9.960E-01 Ed(total) = 1.406E+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 0.0125 0.0000 0.0023 0.0545 3 1.533 5.000 0.0396 0.0125 0.0000 0.0023 0.0545 5 3.065 10.000 0.0396 0.0125 0.0000 0.0023 0.0545 7 4.598 15.000 0.0396 0.0125 0.0000 0.0023 0.0545 9 6.131 20.000 0.0396 0.0125 0.0000 0.0023 0.0545 11 7.663 25.000 0.0396 0.0125 0.0000 0.0023 0.0545 13 9.196 30.000 0.0396 0.0125 0.0000 0.0023 0.0545 15 10.729 35.000 0.0396 0.0125 0.0000 0.0023 0.0545 17 12.262 40.000 0.0396 0.0125 0.0000 0.0023 0.0545 19 13.794 45.000 0.0396 0.0125 0.0000 0.0023 0.0545 21 15.327 50.000 0.0396 0.0125 0.0000 0.0023 0.0545 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 0.1227 0.1268 0.0000 0.2521 3 1.533 5.000 0.0025 0.1227 0.1268 0.0000 0.2521 5 3.065 10.000 0.0025 0.1227 0.1268 0.0000 0.2521 7 4.598 15.000 0.0025 0.1227 0.1268 0.0000 0.2521 9 6.131 20.000 0.0025 0.1227 0.1268 0.0000 0.2521 11 7.663 25.000 0.0025 0.1227 0.1268 0.0000 0.2521 13 9.196 30.000 0.0025 0.1227 0.1268 0.0000 0.2521 15 10.729 35.000 0.0025 0.1227 0.1268 0.0000 0.2521 17 12.262 40.000 0.0025 0.1227 0.1268 0.0000 0.2521 19 13.794 45.000 0.0025 0.1227 0.1268 0.0000 0.2521 21 15.327 50.000 0.0025 0.1227 0.1268 0.0000 0.2521 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 0.00172 0.00022 0.00000 0.00322 3 1.533 5.000 0.00127 0.00172 0.00022 0.00000 0.00322 5 3.065 10.000 0.00127 0.00172 0.00022 0.00000 0.00322 7 4.598 15.000 0.00127 0.00172 0.00022 0.00000 0.00322 9 6.131 20.000 0.00127 0.00172 0.00022 0.00000 0.00322 11 7.663 25.000 0.00127 0.00172 0.00022 0.00000 0.00322 13 9.196 30.000 0.00127 0.00172 0.00022 0.00000 0.00322 15 10.729 35.000 0.00127 0.00172 0.00022 0.00000 0.00322 17 12.262 40.000 0.00127 0.00172 0.00022 0.00000 0.00322 19 13.794 45.000 0.00127 0.00172 0.00022 0.00000 0.00322 21 15.327 50.000 0.00127 0.00172 0.00022 0.00000 0.00322 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 0.0545 0.2521 0.3065 0.8223 0.00322 0.01276 3 1.533 5.000 0.0545 0.2521 0.3065 0.8223 0.00322 0.01276 5 3.065 10.000 0.0545 0.2521 0.3065 0.8223 0.00322 0.01276 7 4.598 15.000 0.0545 0.2521 0.3065 0.8223 0.00322 0.01276 9 6.131 20.000 0.0545 0.2521 0.3065 0.8223 0.00322 0.01276 11 7.663 25.000 0.0545 0.2521 0.3065 0.8223 0.00322 0.01276 13 9.196 30.000 0.0545 0.2521 0.3065 0.8223 0.00322 0.01276 15 10.729 35.000 0.0545 0.2521 0.3065 0.8223 0.00322 0.01276 17 12.262 40.000 0.0545 0.2521 0.3065 0.8223 0.00322 0.01276 19 13.794 45.000 0.0545 0.2521 0.3065 0.8223 0.00322 0.01276 21 15.327 50.000 0.0545 0.2521 0.3065 0.8223 0.00322 0.01276 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4019E-01 8 20.00 7.9633E-01 7 30.00 6.1058E-01 6 40.00 4.2907E-01 5 50.00 2.8110E-01 4 60.00 1.7537E-01 3 70.00 1.0676E-01 2 80.00 6.5384E-02 1 87.50 4.5507E-02 1 92.50 3.5226E-02 2 100.00 2.5630E-02 3 110.00 1.7970E-02 4 120.00 1.3434E-02 5 130.00 1.0762E-02 6 140.00 9.1755E-03 7 150.00 8.2330E-03 8 160.00 7.6874E-03 9 170.00 7.4033E-03 10 180.00 7.3045E-03 Asymptotic AOP values are MUu(inf) = 0.3617 MUd(inf) = 0.7348 MU(inf) = 0.6739 R(inf) = 0.0290 Lu(inf)/Ed(inf) = 0.005697 (1/sr) k(inf) = 0.0809 (1/m) absorp(check) = 0.0545 = 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 1.6620E-01 1.9792E+00 2.1454E+00 6.1852E-02 1.4062E+00 0.3722 0.7105 0.6266 4.3984E-02 1 0.00 0.00 7.6901E-02 1.5749E+00 1.6518E+00 3.2703E-02 1.3771E+00 0.4253 0.8744 0.8139 2.3748E-02 3 1.53 5.00 6.2653E-02 1.1833E+00 1.2460E+00 2.5161E-02 9.7799E-01 0.4016 0.8265 0.7647 2.5727E-02 5 3.07 10.00 4.7443E-02 8.5561E-01 9.0305E-01 1.8463E-02 6.8206E-01 0.3892 0.7972 0.7348 2.7069E-02 7 4.60 15.00 3.4518E-02 6.0404E-01 6.3855E-01 1.3169E-02 4.6980E-01 0.3815 0.7778 0.7151 2.8032E-02 9 6.13 20.00 2.4478E-02 4.1955E-01 4.4402E-01 9.2165E-03 3.2076E-01 0.3765 0.7645 0.7016 2.8733E-02 11 7.66 25.00 1.7058E-02 2.8811E-01 3.0516E-01 6.3657E-03 2.1764E-01 0.3732 0.7554 0.6923 2.9249E-02 13 9.20 30.00 1.1744E-02 1.9627E-01 2.0801E-01 4.3565E-03 1.4701E-01 0.3709 0.7491 0.6858 2.9633E-02 15 10.73 35.00 8.0187E-03 1.3295E-01 1.4097E-01 2.9625E-03 9.8998E-02 0.3694 0.7446 0.6812 2.9925E-02 17 12.26 40.00 5.4432E-03 8.9709E-02 9.5152E-02 2.0055E-03 6.6517E-02 0.3685 0.7415 0.6780 3.0151E-02 19 13.79 45.00 3.6801E-03 6.0364E-02 6.4044E-02 1.3535E-03 4.4623E-02 0.3678 0.7392 0.6756 3.0332E-02 21 15.33 50.00 2.4811E-03 4.0539E-02 4.3020E-02 9.1154E-04 2.9903E-02 0.3674 0.7376 0.6739 3.0483E-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 0.03610 0.05372 0.05290 0.04660 0.06610 0.06657 0.06290 5.000 5.010 5.005 0.05004 0.06170 0.06112 0.05813 0.07051 0.07084 0.06826 10.000 10.010 10.005 0.06029 0.06758 0.06719 0.06516 0.07347 0.07370 0.07177 15.000 15.010 15.005 0.06653 0.07146 0.07120 0.06973 0.07554 0.07571 0.07421 20.000 20.010 20.005 0.07072 0.07417 0.07398 0.07286 0.07702 0.07714 0.07593 25.000 25.010 25.005 0.07360 0.07607 0.07593 0.07505 0.07807 0.07816 0.07714 30.000 30.010 30.005 0.07559 0.07740 0.07730 0.07657 0.07881 0.07888 0.07799 35.000 35.010 35.005 0.07697 0.07834 0.07826 0.07763 0.07933 0.07939 0.07859 40.000 40.010 40.005 0.07794 0.07899 0.07893 0.07837 0.07970 0.07974 0.07900 45.000 45.010 45.005 0.07860 0.07945 0.07941 0.07888 0.07996 0.08000 0.07928 50.000 50.010 50.005 0.07906 0.07978 0.07974 0.07923 0.08015 0.08018 0.07947 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 1.10700E-01 4.30420E-03 7.89040E-03 1.21946E-02 3.06077E-03 0.071277 9 1 10.0 0.0 180.0 6.83067E-02 4.40129E-03 2.40853E-03 6.80983E-03 3.12981E-03 0.035261 9 4 10.0 45.0 135.0 7.50506E-02 4.37301E-03 2.78762E-03 7.16063E-03 3.10970E-03 0.037143 9 7 10.0 90.0 90.0 1.01400E-01 4.34208E-03 5.73065E-03 1.00727E-02 3.08770E-03 0.056516 8 1 20.0 0.0 180.0 5.36540E-02 4.46454E-03 1.30784E-03 5.77237E-03 3.17478E-03 0.024375 8 4 20.0 45.0 135.0 5.97313E-02 4.40351E-03 1.53765E-03 5.94116E-03 3.13139E-03 0.025743 8 7 20.0 90.0 90.0 8.78321E-02 4.36402E-03 3.40910E-03 7.77312E-03 3.10331E-03 0.038814 7 1 30.0 0.0 180.0 4.65209E-02 4.55051E-03 1.11987E-03 5.67037E-03 3.23592E-03 0.024072 7 4 30.0 45.0 135.0 5.15753E-02 4.52096E-03 1.25768E-03 5.77864E-03 3.21491E-03 0.024385 7 7 30.0 90.0 90.0 7.52222E-02 4.44871E-03 2.15775E-03 6.60646E-03 3.16353E-03 0.028685 6 1 40.0 0.0 180.0 4.41571E-02 4.62134E-03 1.24515E-03 5.86649E-03 3.28629E-03 0.028198 6 4 40.0 45.0 135.0 4.82834E-02 4.57979E-03 1.35045E-03 5.93023E-03 3.25674E-03 0.027969 6 7 40.0 90.0 90.0 6.77892E-02 4.50645E-03 1.95571E-03 6.46216E-03 3.20459E-03 0.028850 5 1 50.0 0.0 180.0 4.62973E-02 4.71157E-03 1.96692E-03 6.67849E-03 3.35045E-03 0.042485 5 4 50.0 45.0 135.0 4.93360E-02 4.64106E-03 2.04917E-03 6.69023E-03 3.30031E-03 0.041535 5 7 50.0 90.0 90.0 6.55798E-02 4.57614E-03 2.64918E-03 7.22532E-03 3.25415E-03 0.040396 4 1 60.0 0.0 180.0 5.49556E-02 4.67294E-03 4.58201E-03 9.25495E-03 3.32298E-03 0.083377 4 4 60.0 45.0 135.0 5.61993E-02 4.59411E-03 4.52465E-03 9.11876E-03 3.26692E-03 0.080511 4 7 60.0 90.0 90.0 6.93988E-02 4.59046E-03 5.28376E-03 9.87422E-03 3.26433E-03 0.076136 3 1 70.0 0.0 180.0 7.62513E-02 4.36262E-03 1.26567E-02 1.70193E-02 3.10231E-03 0.165987 3 4 70.0 45.0 135.0 7.41051E-02 4.33366E-03 1.21781E-02 1.65118E-02 3.08172E-03 0.164336 3 7 70.0 90.0 90.0 8.28477E-02 4.33954E-03 1.32431E-02 1.75827E-02 3.08589E-03 0.159849 2 1 80.0 0.0 180.0 1.29552E-01 3.75577E-03 3.14609E-02 3.52166E-02 2.67077E-03 0.242843 2 4 80.0 45.0 135.0 1.19963E-01 3.72051E-03 3.04292E-02 3.41497E-02 2.64569E-03 0.253655 2 7 80.0 90.0 90.0 1.19184E-01 3.73442E-03 3.18676E-02 3.56020E-02 2.65559E-03 0.267382 1 1 87.5 0.0 180.0 2.09462E-01 3.03718E-03 5.54856E-02 5.85228E-02 2.15977E-03 0.264896 1 4 87.5 45.0 135.0 1.88595E-01 2.86365E-03 5.51430E-02 5.80067E-02 2.03637E-03 0.292389 1 7 87.5 90.0 90.0 1.71580E-01 3.18769E-03 5.64353E-02 5.96229E-02 2.26680E-03 0.328916 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 1.219E-02 1.107E-01 1.340E-01 1.156E-01 1.731E-01 8.672E-03 5.072E+00 4.304E-03 3.061E-03 1 0.00 0.00 7.985E-03 2.061E-01 1.558E-02 1.767E-02 2.534E-02 5.799E-03 4.095E+00 3 1.53 5.00 5.748E-03 3.755E-01 1.284E-02 1.657E-02 2.940E-02 5.877E-03 4.378E+00 5 3.07 10.00 4.048E-03 3.837E-01 1.020E-02 1.375E-02 2.505E-02 5.935E-03 4.561E+00 7 4.60 15.00 2.810E-03 3.178E-01 7.723E-03 1.062E-02 1.916E-02 5.980E-03 4.687E+00 9 6.13 20.00 1.930E-03 2.381E-01 5.705E-03 7.892E-03 1.378E-02 6.017E-03 4.776E+00 11 7.66 25.00 1.316E-03 1.692E-01 4.149E-03 5.708E-03 9.547E-03 6.047E-03 4.837E+00 13 9.20 30.00 8.929E-04 1.167E-01 2.982E-03 4.050E-03 6.454E-03 6.074E-03 4.879E+00 15 10.73 35.00 6.036E-04 7.923E-02 2.123E-03 2.832E-03 4.297E-03 6.097E-03 4.908E+00 17 12.26 40.00 4.071E-04 5.329E-02 1.500E-03 1.959E-03 2.836E-03 6.120E-03 4.927E+00 19 13.79 45.00 2.740E-04 3.567E-02 1.053E-03 1.344E-03 1.862E-03 6.141E-03 4.939E+00 21 15.33 50.00 1.843E-04 2.382E-02 7.343E-04 9.169E-04 1.220E-03 6.162E-03 4.947E+00 Waveband 12 of 30 completed in 5.6 sec. * * * * * Output for wavelength band 13 (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 115.8 m at 525.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 520.0 nm to 530.0 nm: Ed(diffuse) = 4.132E-01 Ed(direct) = 1.024E+00 Ed(total) = 1.437E+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 0.0101 0.0000 0.0020 0.0539 3 1.521 5.000 0.0417 0.0101 0.0000 0.0020 0.0539 5 3.043 10.000 0.0417 0.0101 0.0000 0.0020 0.0539 7 4.564 15.000 0.0417 0.0101 0.0000 0.0020 0.0539 9 6.086 20.000 0.0417 0.0101 0.0000 0.0020 0.0539 11 7.607 25.000 0.0417 0.0101 0.0000 0.0020 0.0539 13 9.129 30.000 0.0417 0.0101 0.0000 0.0020 0.0539 15 10.650 35.000 0.0417 0.0101 0.0000 0.0020 0.0539 17 12.172 40.000 0.0417 0.0101 0.0000 0.0020 0.0539 19 13.693 45.000 0.0417 0.0101 0.0000 0.0020 0.0539 21 15.214 50.000 0.0417 0.0101 0.0000 0.0020 0.0539 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 0.1220 0.1261 0.0000 0.2504 3 1.521 5.000 0.0023 0.1220 0.1261 0.0000 0.2504 5 3.043 10.000 0.0023 0.1220 0.1261 0.0000 0.2504 7 4.564 15.000 0.0023 0.1220 0.1261 0.0000 0.2504 9 6.086 20.000 0.0023 0.1220 0.1261 0.0000 0.2504 11 7.607 25.000 0.0023 0.1220 0.1261 0.0000 0.2504 13 9.129 30.000 0.0023 0.1220 0.1261 0.0000 0.2504 15 10.650 35.000 0.0023 0.1220 0.1261 0.0000 0.2504 17 12.172 40.000 0.0023 0.1220 0.1261 0.0000 0.2504 19 13.693 45.000 0.0023 0.1220 0.1261 0.0000 0.2504 21 15.214 50.000 0.0023 0.1220 0.1261 0.0000 0.2504 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 0.00171 0.00022 0.00000 0.00310 3 1.521 5.000 0.00117 0.00171 0.00022 0.00000 0.00310 5 3.043 10.000 0.00117 0.00171 0.00022 0.00000 0.00310 7 4.564 15.000 0.00117 0.00171 0.00022 0.00000 0.00310 9 6.086 20.000 0.00117 0.00171 0.00022 0.00000 0.00310 11 7.607 25.000 0.00117 0.00171 0.00022 0.00000 0.00310 13 9.129 30.000 0.00117 0.00171 0.00022 0.00000 0.00310 15 10.650 35.000 0.00117 0.00171 0.00022 0.00000 0.00310 17 12.172 40.000 0.00117 0.00171 0.00022 0.00000 0.00310 19 13.693 45.000 0.00117 0.00171 0.00022 0.00000 0.00310 21 15.214 50.000 0.00117 0.00171 0.00022 0.00000 0.00310 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 0.0539 0.2504 0.3043 0.8229 0.00310 0.01239 3 1.521 5.000 0.0539 0.2504 0.3043 0.8229 0.00310 0.01239 5 3.043 10.000 0.0539 0.2504 0.3043 0.8229 0.00310 0.01239 7 4.564 15.000 0.0539 0.2504 0.3043 0.8229 0.00310 0.01239 9 6.086 20.000 0.0539 0.2504 0.3043 0.8229 0.00310 0.01239 11 7.607 25.000 0.0539 0.2504 0.3043 0.8229 0.00310 0.01239 13 9.129 30.000 0.0539 0.2504 0.3043 0.8229 0.00310 0.01239 15 10.650 35.000 0.0539 0.2504 0.3043 0.8229 0.00310 0.01239 17 12.172 40.000 0.0539 0.2504 0.3043 0.8229 0.00310 0.01239 19 13.693 45.000 0.0539 0.2504 0.3043 0.8229 0.00310 0.01239 21 15.214 50.000 0.0539 0.2504 0.3043 0.8229 0.00310 0.01239 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4035E-01 8 20.00 7.9683E-01 7 30.00 6.1136E-01 6 40.00 4.2994E-01 5 50.00 2.8185E-01 4 60.00 1.7591E-01 3 70.00 1.0707E-01 2 80.00 6.5512E-02 1 87.50 4.5536E-02 1 92.50 3.5197E-02 2 100.00 2.5549E-02 3 110.00 1.7849E-02 4 120.00 1.3292E-02 5 130.00 1.0607E-02 6 140.00 9.0142E-03 7 150.00 8.0681E-03 8 160.00 7.5204E-03 9 170.00 7.2352E-03 10 180.00 7.1362E-03 Asymptotic AOP values are MUu(inf) = 0.3600 MUd(inf) = 0.7346 MU(inf) = 0.6744 R(inf) = 0.0286 Lu(inf)/Ed(inf) = 0.005558 (1/sr) k(inf) = 0.0799 (1/m) absorp(check) = 0.0539 = 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 1.6786E-01 2.0178E+00 2.1857E+00 6.2682E-02 1.4373E+00 0.3734 0.7123 0.6289 4.3610E-02 1 0.00 0.00 7.7358E-02 1.6084E+00 1.6858E+00 3.2820E-02 1.4075E+00 0.4243 0.8751 0.8154 2.3319E-02 3 1.52 5.00 6.3411E-02 1.2138E+00 1.2772E+00 2.5393E-02 1.0042E+00 0.4005 0.8273 0.7663 2.5288E-02 5 3.04 10.00 4.8306E-02 8.8193E-01 9.3024E-01 1.8739E-02 7.0369E-01 0.3879 0.7979 0.7363 2.6630E-02 7 4.56 15.00 3.5353E-02 6.2578E-01 6.6113E-01 1.3440E-02 4.8709E-01 0.3802 0.7784 0.7164 2.7593E-02 9 6.09 20.00 2.5213E-02 4.3688E-01 4.6209E-01 9.4575E-03 3.3422E-01 0.3751 0.7650 0.7028 2.8297E-02 11 7.61 25.00 1.7666E-02 3.0154E-01 3.1921E-01 6.5663E-03 2.2790E-01 0.3717 0.7558 0.6934 2.8813E-02 13 9.13 30.00 1.2228E-02 2.0647E-01 2.1869E-01 4.5169E-03 1.5471E-01 0.3694 0.7493 0.6868 2.9196E-02 15 10.65 35.00 8.3917E-03 1.4057E-01 1.4896E-01 3.0869E-03 1.0469E-01 0.3679 0.7448 0.6821 2.9486E-02 17 12.17 40.00 5.7251E-03 9.5322E-02 1.0105E-01 2.1001E-03 7.0689E-02 0.3668 0.7416 0.6788 2.9709E-02 19 13.69 45.00 3.8898E-03 6.4458E-02 6.8348E-02 1.4242E-03 4.7654E-02 0.3661 0.7393 0.6764 2.9886E-02 21 15.21 50.00 2.6352E-03 4.3502E-02 4.6137E-02 9.6370E-04 3.2089E-02 0.3657 0.7377 0.6746 3.0032E-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 0.03478 0.05287 0.05204 0.04548 0.06522 0.06569 0.06195 5.000 5.010 5.005 0.04883 0.06076 0.06017 0.05700 0.06956 0.06989 0.06727 10.000 10.010 10.005 0.05910 0.06657 0.06619 0.06404 0.07249 0.07272 0.07077 15.000 15.010 15.005 0.06538 0.07044 0.07017 0.06863 0.07455 0.07472 0.07321 20.000 20.010 20.005 0.06959 0.07314 0.07295 0.07179 0.07603 0.07615 0.07494 25.000 25.010 25.005 0.07252 0.07505 0.07491 0.07401 0.07708 0.07717 0.07617 30.000 30.010 30.005 0.07455 0.07639 0.07629 0.07556 0.07782 0.07789 0.07703 35.000 35.010 35.005 0.07596 0.07733 0.07726 0.07664 0.07835 0.07840 0.07764 40.000 40.010 40.005 0.07694 0.07800 0.07794 0.07740 0.07872 0.07877 0.07806 45.000 45.010 45.005 0.07763 0.07847 0.07842 0.07792 0.07899 0.07902 0.07836 50.000 50.010 50.005 0.07810 0.07880 0.07876 0.07829 0.07918 0.07920 0.07856 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 1.11508E-01 4.29412E-03 8.05409E-03 1.23482E-02 2.98753E-03 0.072229 9 1 10.0 0.0 180.0 6.88052E-02 4.38805E-03 2.44035E-03 6.82841E-03 3.05288E-03 0.035468 9 4 10.0 45.0 135.0 7.55983E-02 4.36089E-03 2.82629E-03 7.18718E-03 3.03399E-03 0.037386 9 7 10.0 90.0 90.0 1.02140E-01 4.33266E-03 5.83812E-03 1.01708E-02 3.01434E-03 0.057158 8 1 20.0 0.0 180.0 5.40455E-02 4.45032E-03 1.31810E-03 5.76842E-03 3.09620E-03 0.024389 8 4 20.0 45.0 135.0 6.01672E-02 4.39118E-03 1.55074E-03 5.94191E-03 3.05505E-03 0.025774 8 7 20.0 90.0 90.0 8.84730E-02 4.35616E-03 3.45894E-03 7.81510E-03 3.03069E-03 0.039096 7 1 30.0 0.0 180.0 4.68604E-02 4.53584E-03 1.12804E-03 5.66388E-03 3.15570E-03 0.024072 7 4 30.0 45.0 135.0 5.19522E-02 4.50875E-03 1.26695E-03 5.77570E-03 3.13686E-03 0.024387 7 7 30.0 90.0 90.0 7.57678E-02 4.44284E-03 2.17841E-03 6.62125E-03 3.09100E-03 0.028751 6 1 40.0 0.0 180.0 4.44793E-02 4.60725E-03 1.25424E-03 5.86148E-03 3.20538E-03 0.028198 6 4 40.0 45.0 135.0 4.86358E-02 4.56902E-03 1.36030E-03 5.92932E-03 3.17879E-03 0.027969 6 7 40.0 90.0 90.0 6.82839E-02 4.50430E-03 1.97030E-03 6.47460E-03 3.13375E-03 0.028855 5 1 50.0 0.0 180.0 4.66351E-02 4.69868E-03 1.98127E-03 6.67995E-03 3.26899E-03 0.042485 5 4 50.0 45.0 135.0 4.96960E-02 4.63224E-03 2.06412E-03 6.69637E-03 3.22277E-03 0.041535 5 7 50.0 90.0 90.0 6.60583E-02 4.57784E-03 2.66852E-03 7.24636E-03 3.18492E-03 0.040396 4 1 60.0 0.0 180.0 5.53566E-02 4.66187E-03 4.61544E-03 9.27731E-03 3.24338E-03 0.083377 4 4 60.0 45.0 135.0 5.66094E-02 4.58766E-03 4.55767E-03 9.14533E-03 3.19175E-03 0.080511 4 7 60.0 90.0 90.0 6.99052E-02 4.59616E-03 5.32232E-03 9.91848E-03 3.19766E-03 0.076136 3 1 70.0 0.0 180.0 7.68077E-02 4.35439E-03 1.27491E-02 1.71035E-02 3.02946E-03 0.165987 3 4 70.0 45.0 135.0 7.46458E-02 4.33021E-03 1.22670E-02 1.65972E-02 3.01264E-03 0.164336 3 7 70.0 90.0 90.0 8.34523E-02 4.34915E-03 1.33398E-02 1.76889E-02 3.02582E-03 0.159849 2 1 80.0 0.0 180.0 1.30497E-01 3.75042E-03 3.16904E-02 3.54408E-02 2.60926E-03 0.242843 2 4 80.0 45.0 135.0 1.20838E-01 3.71968E-03 3.06512E-02 3.43709E-02 2.58788E-03 0.253655 2 7 80.0 90.0 90.0 1.20054E-01 3.74591E-03 3.21002E-02 3.58461E-02 2.60612E-03 0.267382 1 1 87.5 0.0 180.0 2.10990E-01 3.03427E-03 5.58905E-02 5.89247E-02 2.11102E-03 0.264896 1 4 87.5 45.0 135.0 1.89971E-01 2.86458E-03 5.55454E-02 5.84100E-02 1.99296E-03 0.292389 1 7 87.5 90.0 90.0 1.72832E-01 3.20009E-03 5.68471E-02 6.00472E-02 2.22638E-03 0.328916 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 1.235E-02 1.115E-01 1.350E-01 1.164E-01 1.744E-01 8.591E-03 5.076E+00 4.294E-03 2.988E-03 1 0.00 0.00 7.966E-03 2.076E-01 1.560E-02 1.780E-02 2.572E-02 5.660E-03 4.120E+00 3 1.52 5.00 5.762E-03 3.830E-01 1.295E-02 1.682E-02 3.005E-02 5.738E-03 4.407E+00 5 3.04 10.00 4.079E-03 3.943E-01 1.035E-02 1.404E-02 2.578E-02 5.796E-03 4.594E+00 7 4.56 15.00 2.845E-03 3.286E-01 7.886E-03 1.092E-02 1.985E-02 5.841E-03 4.724E+00 9 6.09 20.00 1.964E-03 2.477E-01 5.860E-03 8.162E-03 1.437E-02 5.876E-03 4.816E+00 11 7.61 25.00 1.346E-03 1.769E-01 4.286E-03 5.938E-03 1.001E-02 5.905E-03 4.879E+00 13 9.13 30.00 9.175E-04 1.227E-01 3.098E-03 4.237E-03 6.807E-03 5.930E-03 4.923E+00 15 10.65 35.00 6.232E-04 8.373E-02 2.219E-03 2.980E-03 4.557E-03 5.953E-03 4.953E+00 17 12.17 40.00 4.222E-04 5.660E-02 1.577E-03 2.073E-03 3.023E-03 5.973E-03 4.974E+00 19 13.69 45.00 2.856E-04 3.807E-02 1.113E-03 1.430E-03 1.995E-03 5.992E-03 4.987E+00 21 15.21 50.00 1.929E-04 2.554E-02 7.803E-04 9.802E-04 1.313E-03 6.011E-03 4.996E+00 Waveband 13 of 30 completed in 5.6 sec. * * * * * Output for wavelength band 14 (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 115.8 m at 535.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 530.0 nm to 540.0 nm: Ed(diffuse) = 4.123E-01 Ed(direct) = 1.041E+00 Ed(total) = 1.453E+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 0.0084 0.0000 0.0018 0.0554 3 1.521 5.000 0.0452 0.0084 0.0000 0.0018 0.0554 5 3.042 10.000 0.0452 0.0084 0.0000 0.0018 0.0554 7 4.563 15.000 0.0452 0.0084 0.0000 0.0018 0.0554 9 6.084 20.000 0.0452 0.0084 0.0000 0.0018 0.0554 11 7.606 25.000 0.0452 0.0084 0.0000 0.0018 0.0554 13 9.127 30.000 0.0452 0.0084 0.0000 0.0018 0.0554 15 10.648 35.000 0.0452 0.0084 0.0000 0.0018 0.0554 17 12.169 40.000 0.0452 0.0084 0.0000 0.0018 0.0554 19 13.690 45.000 0.0452 0.0084 0.0000 0.0018 0.0554 21 15.211 50.000 0.0452 0.0084 0.0000 0.0018 0.0554 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 0.1213 0.1253 0.0000 0.2488 3 1.521 5.000 0.0022 0.1213 0.1253 0.0000 0.2488 5 3.042 10.000 0.0022 0.1213 0.1253 0.0000 0.2488 7 4.563 15.000 0.0022 0.1213 0.1253 0.0000 0.2488 9 6.084 20.000 0.0022 0.1213 0.1253 0.0000 0.2488 11 7.606 25.000 0.0022 0.1213 0.1253 0.0000 0.2488 13 9.127 30.000 0.0022 0.1213 0.1253 0.0000 0.2488 15 10.648 35.000 0.0022 0.1213 0.1253 0.0000 0.2488 17 12.169 40.000 0.0022 0.1213 0.1253 0.0000 0.2488 19 13.690 45.000 0.0022 0.1213 0.1253 0.0000 0.2488 21 15.211 50.000 0.0022 0.1213 0.1253 0.0000 0.2488 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 0.00170 0.00022 0.00000 0.00300 3 1.521 5.000 0.00108 0.00170 0.00022 0.00000 0.00300 5 3.042 10.000 0.00108 0.00170 0.00022 0.00000 0.00300 7 4.563 15.000 0.00108 0.00170 0.00022 0.00000 0.00300 9 6.084 20.000 0.00108 0.00170 0.00022 0.00000 0.00300 11 7.606 25.000 0.00108 0.00170 0.00022 0.00000 0.00300 13 9.127 30.000 0.00108 0.00170 0.00022 0.00000 0.00300 15 10.648 35.000 0.00108 0.00170 0.00022 0.00000 0.00300 17 12.169 40.000 0.00108 0.00170 0.00022 0.00000 0.00300 19 13.690 45.000 0.00108 0.00170 0.00022 0.00000 0.00300 21 15.211 50.000 0.00108 0.00170 0.00022 0.00000 0.00300 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 0.0554 0.2488 0.3042 0.8179 0.00300 0.01206 3 1.521 5.000 0.0554 0.2488 0.3042 0.8179 0.00300 0.01206 5 3.042 10.000 0.0554 0.2488 0.3042 0.8179 0.00300 0.01206 7 4.563 15.000 0.0554 0.2488 0.3042 0.8179 0.00300 0.01206 9 6.084 20.000 0.0554 0.2488 0.3042 0.8179 0.00300 0.01206 11 7.606 25.000 0.0554 0.2488 0.3042 0.8179 0.00300 0.01206 13 9.127 30.000 0.0554 0.2488 0.3042 0.8179 0.00300 0.01206 15 10.648 35.000 0.0554 0.2488 0.3042 0.8179 0.00300 0.01206 17 12.169 40.000 0.0554 0.2488 0.3042 0.8179 0.00300 0.01206 19 13.690 45.000 0.0554 0.2488 0.3042 0.8179 0.00300 0.01206 21 15.211 50.000 0.0554 0.2488 0.3042 0.8179 0.00300 0.01206 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3924E-01 8 20.00 7.9337E-01 7 30.00 6.0569E-01 6 40.00 4.2320E-01 5 50.00 2.7535E-01 4 60.00 1.7045E-01 3 70.00 1.0288E-01 2 80.00 6.2450E-02 1 87.50 4.3163E-02 1 92.50 3.3241E-02 2 100.00 2.4018E-02 3 110.00 1.6693E-02 4 120.00 1.2381E-02 5 130.00 9.8533E-03 6 140.00 8.3584E-03 7 150.00 7.4732E-03 8 160.00 6.9620E-03 9 170.00 6.6962E-03 10 180.00 6.6040E-03 Asymptotic AOP values are MUu(inf) = 0.3582 MUd(inf) = 0.7377 MU(inf) = 0.6802 R(inf) = 0.0269 Lu(inf)/Ed(inf) = 0.005208 (1/sr) k(inf) = 0.0815 (1/m) absorp(check) = 0.0554 = 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 1.6673E-01 2.0355E+00 2.2022E+00 6.2294E-02 1.4533E+00 0.3736 0.7140 0.6316 4.2864E-02 1 0.00 0.00 7.3916E-02 1.6225E+00 1.6964E+00 3.1250E-02 1.4222E+00 0.4228 0.8766 0.8200 2.1973E-02 3 1.52 5.00 6.0281E-02 1.2144E+00 1.2747E+00 2.4034E-02 1.0069E+00 0.3987 0.8291 0.7710 2.3870E-02 5 3.04 10.00 4.5613E-02 8.7506E-01 9.2067E-01 1.7617E-02 7.0009E-01 0.3862 0.8001 0.7413 2.5163E-02 7 4.56 15.00 3.3147E-02 6.1582E-01 6.4897E-01 1.2548E-02 4.8081E-01 0.3786 0.7808 0.7215 2.6098E-02 9 6.08 20.00 2.3470E-02 4.2645E-01 4.4992E-01 8.7679E-03 3.2733E-01 0.3736 0.7676 0.7080 2.6786E-02 11 7.61 25.00 1.6328E-02 2.9199E-01 3.0832E-01 6.0455E-03 2.2145E-01 0.3703 0.7584 0.6986 2.7299E-02 13 9.13 30.00 1.1220E-02 1.9832E-01 2.0954E-01 4.1296E-03 1.4915E-01 0.3680 0.7520 0.6921 2.7688E-02 15 10.65 35.00 7.6459E-03 1.3396E-01 1.4161E-01 2.8029E-03 1.0014E-01 0.3666 0.7476 0.6874 2.7989E-02 17 12.17 40.00 5.1798E-03 9.0131E-02 9.5311E-02 1.8939E-03 6.7093E-02 0.3656 0.7444 0.6841 2.8228E-02 19 13.69 45.00 3.4949E-03 6.0475E-02 6.3969E-02 1.2758E-03 4.4881E-02 0.3650 0.7421 0.6816 2.8427E-02 21 15.21 50.00 2.3515E-03 4.0498E-02 4.2849E-02 8.5759E-04 2.9989E-02 0.3647 0.7405 0.6799 2.8597E-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 0.03490 0.05424 0.05340 0.04639 0.06674 0.06719 0.06322 5.000 5.010 5.005 0.05011 0.06243 0.06185 0.05831 0.07112 0.07144 0.06861 10.000 10.010 10.005 0.06049 0.06822 0.06784 0.06542 0.07406 0.07428 0.07212 15.000 15.010 15.005 0.06681 0.07207 0.07180 0.07003 0.07613 0.07629 0.07456 20.000 20.010 20.005 0.07104 0.07476 0.07456 0.07320 0.07760 0.07772 0.07628 25.000 25.010 25.005 0.07395 0.07665 0.07650 0.07540 0.07865 0.07874 0.07749 30.000 30.010 30.005 0.07597 0.07798 0.07787 0.07694 0.07939 0.07946 0.07834 35.000 35.010 35.005 0.07737 0.07891 0.07883 0.07801 0.07991 0.07997 0.07893 40.000 40.010 40.005 0.07834 0.07957 0.07950 0.07875 0.08028 0.08032 0.07933 45.000 45.010 45.005 0.07901 0.08003 0.07997 0.07926 0.08054 0.08058 0.07960 50.000 50.010 50.005 0.07947 0.08035 0.08030 0.07960 0.08072 0.08075 0.07977 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 1.11243E-01 4.07045E-03 8.13347E-03 1.22039E-02 2.80087E-03 0.073114 9 1 10.0 0.0 180.0 6.86415E-02 4.15850E-03 2.44778E-03 6.60627E-03 2.86146E-03 0.035660 9 4 10.0 45.0 135.0 7.54184E-02 4.13306E-03 2.83658E-03 6.96965E-03 2.84396E-03 0.037611 9 7 10.0 90.0 90.0 1.01897E-01 4.10714E-03 5.88520E-03 9.99234E-03 2.82612E-03 0.057757 8 1 20.0 0.0 180.0 5.39169E-02 4.21714E-03 1.31563E-03 5.53277E-03 2.90181E-03 0.024401 8 4 20.0 45.0 135.0 6.00240E-02 4.16157E-03 1.54878E-03 5.71035E-03 2.86358E-03 0.025803 8 7 20.0 90.0 90.0 8.82625E-02 4.12979E-03 3.47390E-03 7.60369E-03 2.84171E-03 0.039359 7 1 30.0 0.0 180.0 4.67489E-02 4.29799E-03 1.12535E-03 5.42334E-03 2.95744E-03 0.024072 7 4 30.0 45.0 135.0 5.18291E-02 4.27298E-03 1.26402E-03 5.53699E-03 2.94023E-03 0.024388 7 7 30.0 90.0 90.0 7.55844E-02 4.21254E-03 2.17779E-03 6.39033E-03 2.89865E-03 0.028813 6 1 40.0 0.0 180.0 4.43735E-02 4.36566E-03 1.25125E-03 5.61692E-03 3.00401E-03 0.028198 6 4 40.0 45.0 135.0 4.85201E-02 4.33040E-03 1.35706E-03 5.68746E-03 2.97974E-03 0.027969 6 7 40.0 90.0 90.0 6.81214E-02 4.27198E-03 1.96591E-03 6.23789E-03 2.93955E-03 0.028859 5 1 50.0 0.0 180.0 4.65242E-02 4.45273E-03 1.97656E-03 6.42929E-03 3.06392E-03 0.042485 5 4 50.0 45.0 135.0 4.95778E-02 4.39101E-03 2.05921E-03 6.45022E-03 3.02145E-03 0.041535 5 7 50.0 90.0 90.0 6.59011E-02 4.34333E-03 2.66217E-03 7.00550E-03 2.98864E-03 0.040396 4 1 60.0 0.0 180.0 5.52249E-02 4.41849E-03 4.60446E-03 9.02295E-03 3.04036E-03 0.083377 4 4 60.0 45.0 135.0 5.64747E-02 4.34965E-03 4.54682E-03 8.89647E-03 2.99299E-03 0.080511 4 7 60.0 90.0 90.0 6.97389E-02 4.36257E-03 5.30966E-03 9.67223E-03 3.00188E-03 0.076136 3 1 70.0 0.0 180.0 7.66250E-02 4.12818E-03 1.27188E-02 1.68469E-02 2.84060E-03 0.165987 3 4 70.0 45.0 135.0 7.44683E-02 4.10698E-03 1.22378E-02 1.63448E-02 2.82601E-03 0.164336 3 7 70.0 90.0 90.0 8.32537E-02 4.13068E-03 1.33080E-02 1.74387E-02 2.84232E-03 0.159849 2 1 80.0 0.0 180.0 1.30187E-01 3.55667E-03 3.16150E-02 3.51717E-02 2.44735E-03 0.242843 2 4 80.0 45.0 135.0 1.20551E-01 3.52929E-03 3.05783E-02 3.41076E-02 2.42850E-03 0.253655 2 7 80.0 90.0 90.0 1.19768E-01 3.55999E-03 3.20238E-02 3.55838E-02 2.44963E-03 0.267382 1 1 87.5 0.0 180.0 2.10488E-01 2.87866E-03 5.57575E-02 5.86362E-02 1.98081E-03 0.264896 1 4 87.5 45.0 135.0 1.89519E-01 2.71924E-03 5.54132E-02 5.81325E-02 1.87111E-03 0.292389 1 7 87.5 90.0 90.0 1.72420E-01 3.04355E-03 5.67118E-02 5.97554E-02 2.09427E-03 0.328916 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 1.220E-02 1.112E-01 1.346E-01 1.161E-01 1.739E-01 8.398E-03 5.104E+00 4.070E-03 2.801E-03 1 0.00 0.00 7.551E-03 2.071E-01 1.488E-02 1.707E-02 2.490E-02 5.309E-03 4.138E+00 3 1.52 5.00 5.426E-03 3.822E-01 1.233E-02 1.613E-02 2.913E-02 5.389E-03 4.429E+00 5 3.04 10.00 3.815E-03 3.919E-01 9.791E-03 1.337E-02 2.479E-02 5.449E-03 4.618E+00 7 4.56 15.00 2.643E-03 3.250E-01 7.405E-03 1.033E-02 1.894E-02 5.497E-03 4.747E+00 9 6.08 20.00 1.812E-03 2.435E-01 5.464E-03 7.661E-03 1.360E-02 5.537E-03 4.838E+00 11 7.61 25.00 1.234E-03 1.729E-01 3.969E-03 5.533E-03 9.400E-03 5.571E-03 4.900E+00 13 9.13 30.00 8.355E-04 1.192E-01 2.849E-03 3.918E-03 6.340E-03 5.602E-03 4.942E+00 15 10.65 35.00 5.639E-04 8.077E-02 2.026E-03 2.736E-03 4.211E-03 5.631E-03 4.971E+00 17 12.17 40.00 3.796E-04 5.422E-02 1.430E-03 1.889E-03 2.771E-03 5.658E-03 4.989E+00 19 13.69 45.00 2.551E-04 3.621E-02 1.002E-03 1.294E-03 1.814E-03 5.685E-03 5.000E+00 21 15.21 50.00 1.713E-04 2.412E-02 6.984E-04 8.805E-04 1.185E-03 5.712E-03 5.007E+00 Waveband 14 of 30 completed in 5.9 sec. * * * * * Output for wavelength band 15 (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 115.1 m at 545.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 540.0 nm to 550.0 nm: Ed(diffuse) = 4.017E-01 Ed(direct) = 1.032E+00 Ed(total) = 1.434E+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 0.0072 0.0000 0.0015 0.0598 3 1.536 5.000 0.0511 0.0072 0.0000 0.0015 0.0598 5 3.071 10.000 0.0511 0.0072 0.0000 0.0015 0.0598 7 4.607 15.000 0.0511 0.0072 0.0000 0.0015 0.0598 9 6.142 20.000 0.0511 0.0072 0.0000 0.0015 0.0598 11 7.678 25.000 0.0511 0.0072 0.0000 0.0015 0.0598 13 9.214 30.000 0.0511 0.0072 0.0000 0.0015 0.0598 15 10.749 35.000 0.0511 0.0072 0.0000 0.0015 0.0598 17 12.285 40.000 0.0511 0.0072 0.0000 0.0015 0.0598 19 13.820 45.000 0.0511 0.0072 0.0000 0.0015 0.0598 21 15.356 50.000 0.0511 0.0072 0.0000 0.0015 0.0598 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 0.1206 0.1247 0.0000 0.2473 3 1.536 5.000 0.0020 0.1206 0.1247 0.0000 0.2473 5 3.071 10.000 0.0020 0.1206 0.1247 0.0000 0.2473 7 4.607 15.000 0.0020 0.1206 0.1247 0.0000 0.2473 9 6.142 20.000 0.0020 0.1206 0.1247 0.0000 0.2473 11 7.678 25.000 0.0020 0.1206 0.1247 0.0000 0.2473 13 9.214 30.000 0.0020 0.1206 0.1247 0.0000 0.2473 15 10.749 35.000 0.0020 0.1206 0.1247 0.0000 0.2473 17 12.285 40.000 0.0020 0.1206 0.1247 0.0000 0.2473 19 13.820 45.000 0.0020 0.1206 0.1247 0.0000 0.2473 21 15.356 50.000 0.0020 0.1206 0.1247 0.0000 0.2473 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 0.00169 0.00022 0.00000 0.00291 3 1.536 5.000 0.00100 0.00169 0.00022 0.00000 0.00291 5 3.071 10.000 0.00100 0.00169 0.00022 0.00000 0.00291 7 4.607 15.000 0.00100 0.00169 0.00022 0.00000 0.00291 9 6.142 20.000 0.00100 0.00169 0.00022 0.00000 0.00291 11 7.678 25.000 0.00100 0.00169 0.00022 0.00000 0.00291 13 9.214 30.000 0.00100 0.00169 0.00022 0.00000 0.00291 15 10.749 35.000 0.00100 0.00169 0.00022 0.00000 0.00291 17 12.285 40.000 0.00100 0.00169 0.00022 0.00000 0.00291 19 13.820 45.000 0.00100 0.00169 0.00022 0.00000 0.00291 21 15.356 50.000 0.00100 0.00169 0.00022 0.00000 0.00291 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 0.0598 0.2473 0.3071 0.8052 0.00291 0.01175 3 1.536 5.000 0.0598 0.2473 0.3071 0.8052 0.00291 0.01175 5 3.071 10.000 0.0598 0.2473 0.3071 0.8052 0.00291 0.01175 7 4.607 15.000 0.0598 0.2473 0.3071 0.8052 0.00291 0.01175 9 6.142 20.000 0.0598 0.2473 0.3071 0.8052 0.00291 0.01175 11 7.678 25.000 0.0598 0.2473 0.3071 0.8052 0.00291 0.01175 13 9.214 30.000 0.0598 0.2473 0.3071 0.8052 0.00291 0.01175 15 10.749 35.000 0.0598 0.2473 0.3071 0.8052 0.00291 0.01175 17 12.285 40.000 0.0598 0.2473 0.3071 0.8052 0.00291 0.01175 19 13.820 45.000 0.0598 0.2473 0.3071 0.8052 0.00291 0.01175 21 15.356 50.000 0.0598 0.2473 0.3071 0.8052 0.00291 0.01175 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3644E-01 8 20.00 7.8470E-01 7 30.00 5.9163E-01 6 40.00 4.0679E-01 5 50.00 2.5984E-01 4 60.00 1.5776E-01 3 70.00 9.3443E-02 2 80.00 5.5756E-02 1 87.50 3.8112E-02 1 92.50 2.9164E-02 2 100.00 2.0918E-02 3 110.00 1.4439E-02 4 120.00 1.0668E-02 5 130.00 8.4787E-03 6 140.00 7.1939E-03 7 150.00 6.4378E-03 8 160.00 6.0032E-03 9 170.00 5.7780E-03 10 180.00 5.6999E-03 Asymptotic AOP values are MUu(inf) = 0.3565 MUd(inf) = 0.7450 MU(inf) = 0.6924 R(inf) = 0.0240 Lu(inf)/Ed(inf) = 0.004634 (1/sr) k(inf) = 0.0864 (1/m) absorp(check) = 0.0598 = 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 1.6055E-01 2.0041E+00 2.1646E+00 5.9843E-02 1.4340E+00 0.3727 0.7155 0.6348 4.1733E-02 1 0.00 0.00 6.5534E-02 1.5946E+00 1.6601E+00 2.7572E-02 1.4017E+00 0.4207 0.8790 0.8277 1.9671E-02 3 1.54 5.00 5.2349E-02 1.1637E+00 1.2161E+00 2.0746E-02 9.6838E-01 0.3963 0.8322 0.7793 2.1423E-02 5 3.07 10.00 3.8666E-02 8.1689E-01 8.5556E-01 1.4852E-02 6.5673E-01 0.3841 0.8039 0.7502 2.2616E-02 7 4.61 15.00 2.7418E-02 5.6006E-01 5.8748E-01 1.0331E-02 4.3982E-01 0.3768 0.7853 0.7311 2.3489E-02 9 6.14 20.00 1.8947E-02 3.7789E-01 3.9684E-01 7.0511E-03 2.9197E-01 0.3721 0.7726 0.7180 2.4150E-02 11 7.68 25.00 1.2869E-02 2.5216E-01 2.6503E-01 4.7505E-03 1.9262E-01 0.3692 0.7639 0.7089 2.4662E-02 13 9.21 30.00 8.6377E-03 1.6696E-01 1.7560E-01 3.1723E-03 1.2653E-01 0.3673 0.7578 0.7025 2.5072E-02 15 10.75 35.00 5.7514E-03 1.0995E-01 1.1570E-01 2.1058E-03 8.2859E-02 0.3661 0.7536 0.6979 2.5414E-02 17 12.28 40.00 3.8090E-03 7.2141E-02 7.5950E-02 1.3922E-03 5.4148E-02 0.3655 0.7506 0.6946 2.5711E-02 19 13.82 45.00 2.5136E-03 4.7211E-02 4.9725E-02 9.1811E-04 3.5335E-02 0.3653 0.7484 0.6921 2.5983E-02 21 15.36 50.00 1.6549E-03 3.0842E-02 3.2497E-02 6.0449E-04 2.3035E-02 0.3653 0.7469 0.6902 2.6242E-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 0.03709 0.05868 0.05783 0.05009 0.07150 0.07193 0.06752 5.000 5.010 5.005 0.05483 0.06764 0.06709 0.06296 0.07608 0.07637 0.07309 10.000 10.010 10.005 0.06538 0.07346 0.07310 0.07016 0.07908 0.07928 0.07660 15.000 15.010 15.005 0.07170 0.07729 0.07703 0.07476 0.08116 0.08132 0.07901 20.000 20.010 20.005 0.07588 0.07993 0.07974 0.07787 0.08264 0.08276 0.08066 25.000 25.010 25.005 0.07871 0.08178 0.08163 0.08000 0.08367 0.08377 0.08179 30.000 30.010 30.005 0.08065 0.08307 0.08295 0.08144 0.08440 0.08447 0.08254 35.000 35.010 35.005 0.08195 0.08396 0.08386 0.08241 0.08490 0.08496 0.08302 40.000 40.010 40.005 0.08283 0.08458 0.08449 0.08306 0.08525 0.08531 0.08331 45.000 45.010 45.005 0.08340 0.08500 0.08492 0.08346 0.08549 0.08554 0.08346 50.000 50.010 50.005 0.08376 0.08529 0.08521 0.08370 0.08565 0.08570 0.08351 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 1.08392E-01 3.58292E-03 8.01634E-03 1.15993E-02 2.49861E-03 0.073957 9 1 10.0 0.0 180.0 6.68824E-02 3.66138E-03 2.39731E-03 6.05869E-03 2.55333E-03 0.035844 9 4 10.0 45.0 135.0 7.34857E-02 3.63855E-03 2.77967E-03 6.41822E-03 2.53741E-03 0.037826 9 7 10.0 90.0 90.0 9.92853E-02 3.61472E-03 5.79088E-03 9.40560E-03 2.52078E-03 0.058326 8 1 20.0 0.0 180.0 5.25352E-02 3.71303E-03 1.28254E-03 4.99557E-03 2.58935E-03 0.024413 8 4 20.0 45.0 135.0 5.84859E-02 3.66334E-03 1.51070E-03 5.17403E-03 2.55469E-03 0.025830 8 7 20.0 90.0 90.0 8.60007E-02 3.63370E-03 3.40636E-03 7.04006E-03 2.53402E-03 0.039609 7 1 30.0 0.0 180.0 4.55509E-02 3.78391E-03 1.09651E-03 4.88042E-03 2.63877E-03 0.024072 7 4 30.0 45.0 135.0 5.05014E-02 3.76080E-03 1.23170E-03 4.99250E-03 2.62265E-03 0.024390 7 7 30.0 90.0 90.0 7.36446E-02 3.70533E-03 2.12621E-03 5.83153E-03 2.58397E-03 0.028871 6 1 40.0 0.0 180.0 4.32364E-02 3.84254E-03 1.21919E-03 5.06173E-03 2.67966E-03 0.028198 6 4 40.0 45.0 135.0 4.72767E-02 3.81014E-03 1.32229E-03 5.13243E-03 2.65707E-03 0.027969 6 7 40.0 90.0 90.0 6.63757E-02 3.75586E-03 1.91581E-03 5.67167E-03 2.61922E-03 0.028863 5 1 50.0 0.0 180.0 4.53319E-02 3.91837E-03 1.92591E-03 5.84427E-03 2.73254E-03 0.042485 5 4 50.0 45.0 135.0 4.83073E-02 3.86253E-03 2.00644E-03 5.86897E-03 2.69360E-03 0.041535 5 7 50.0 90.0 90.0 6.42124E-02 3.81752E-03 2.59395E-03 6.41147E-03 2.66221E-03 0.040396 4 1 60.0 0.0 180.0 5.38097E-02 3.88757E-03 4.48647E-03 8.37404E-03 2.71107E-03 0.083377 4 4 60.0 45.0 135.0 5.50275E-02 3.82542E-03 4.43031E-03 8.25572E-03 2.66772E-03 0.080511 4 7 60.0 90.0 90.0 6.79517E-02 3.83375E-03 5.17359E-03 9.00734E-03 2.67353E-03 0.076136 3 1 70.0 0.0 180.0 7.46614E-02 3.63201E-03 1.23928E-02 1.60248E-02 2.53284E-03 0.165987 3 4 70.0 45.0 135.0 7.25599E-02 3.61192E-03 1.19242E-02 1.55361E-02 2.51883E-03 0.164336 3 7 70.0 90.0 90.0 8.11203E-02 3.63038E-03 1.29670E-02 1.65974E-02 2.53171E-03 0.159849 2 1 80.0 0.0 180.0 1.26851E-01 3.12942E-03 3.08049E-02 3.39343E-02 2.18236E-03 0.242843 2 4 80.0 45.0 135.0 1.17461E-01 3.10421E-03 2.97947E-02 3.28989E-02 2.16477E-03 0.253655 2 7 80.0 90.0 90.0 1.16699E-01 3.12972E-03 3.12031E-02 3.43329E-02 2.18256E-03 0.267382 1 1 87.5 0.0 180.0 2.05094E-01 2.53354E-03 5.43287E-02 5.68622E-02 1.76681E-03 0.264896 1 4 87.5 45.0 135.0 1.84662E-01 2.39251E-03 5.39932E-02 5.63857E-02 1.66846E-03 0.292389 1 7 87.5 90.0 90.0 1.68002E-01 2.67734E-03 5.52585E-02 5.79359E-02 1.86709E-03 0.328916 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 1.160E-02 1.084E-01 1.310E-01 1.130E-01 1.693E-01 8.089E-03 5.159E+00 3.583E-03 2.499E-03 1 0.00 0.00 6.647E-03 2.017E-01 1.321E-02 1.523E-02 2.250E-02 4.742E-03 4.148E+00 3 1.54 5.00 4.672E-03 3.668E-01 1.080E-02 1.425E-02 2.609E-02 4.825E-03 4.440E+00 5 3.07 10.00 3.212E-03 3.687E-01 8.364E-03 1.151E-02 2.160E-02 4.891E-03 4.624E+00 7 4.61 15.00 2.176E-03 2.995E-01 6.168E-03 8.661E-03 1.604E-02 4.948E-03 4.748E+00 9 6.14 20.00 1.460E-03 2.198E-01 4.441E-03 6.262E-03 1.121E-02 4.999E-03 4.831E+00 11 7.68 25.00 9.723E-04 1.527E-01 3.149E-03 4.409E-03 7.540E-03 5.048E-03 4.886E+00 13 9.21 30.00 6.447E-04 1.029E-01 2.207E-03 3.046E-03 4.953E-03 5.095E-03 4.921E+00 15 10.75 35.00 4.261E-04 6.819E-02 1.534E-03 2.075E-03 3.206E-03 5.143E-03 4.941E+00 17 12.28 40.00 2.812E-04 4.474E-02 1.058E-03 1.399E-03 2.057E-03 5.192E-03 4.952E+00 19 13.82 45.00 1.853E-04 2.919E-02 7.244E-04 9.356E-04 1.314E-03 5.244E-03 4.955E+00 21 15.36 50.00 1.221E-04 1.899E-02 4.934E-04 6.221E-04 8.377E-04 5.299E-03 4.952E+00 Waveband 15 of 30 completed in 6.0 sec. * * * * * Output for wavelength band 16 (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 114.0 m at 555.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 550.0 nm to 560.0 nm: Ed(diffuse) = 3.946E-01 Ed(direct) = 1.031E+00 Ed(total) = 1.425E+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 0.0060 0.0000 0.0013 0.0670 3 1.564 5.000 0.0596 0.0060 0.0000 0.0013 0.0670 5 3.128 10.000 0.0596 0.0060 0.0000 0.0013 0.0670 7 4.692 15.000 0.0596 0.0060 0.0000 0.0013 0.0670 9 6.256 20.000 0.0596 0.0060 0.0000 0.0013 0.0670 11 7.820 25.000 0.0596 0.0060 0.0000 0.0013 0.0670 13 9.384 30.000 0.0596 0.0060 0.0000 0.0013 0.0670 15 10.948 35.000 0.0596 0.0060 0.0000 0.0013 0.0670 17 12.512 40.000 0.0596 0.0060 0.0000 0.0013 0.0670 19 14.076 45.000 0.0596 0.0060 0.0000 0.0013 0.0670 21 15.640 50.000 0.0596 0.0060 0.0000 0.0013 0.0670 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 0.1200 0.1240 0.0000 0.2458 3 1.564 5.000 0.0018 0.1200 0.1240 0.0000 0.2458 5 3.128 10.000 0.0018 0.1200 0.1240 0.0000 0.2458 7 4.692 15.000 0.0018 0.1200 0.1240 0.0000 0.2458 9 6.256 20.000 0.0018 0.1200 0.1240 0.0000 0.2458 11 7.820 25.000 0.0018 0.1200 0.1240 0.0000 0.2458 13 9.384 30.000 0.0018 0.1200 0.1240 0.0000 0.2458 15 10.948 35.000 0.0018 0.1200 0.1240 0.0000 0.2458 17 12.512 40.000 0.0018 0.1200 0.1240 0.0000 0.2458 19 14.076 45.000 0.0018 0.1200 0.1240 0.0000 0.2458 21 15.640 50.000 0.0018 0.1200 0.1240 0.0000 0.2458 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 0.00168 0.00022 0.00000 0.00282 3 1.564 5.000 0.00092 0.00168 0.00022 0.00000 0.00282 5 3.128 10.000 0.00092 0.00168 0.00022 0.00000 0.00282 7 4.692 15.000 0.00092 0.00168 0.00022 0.00000 0.00282 9 6.256 20.000 0.00092 0.00168 0.00022 0.00000 0.00282 11 7.820 25.000 0.00092 0.00168 0.00022 0.00000 0.00282 13 9.384 30.000 0.00092 0.00168 0.00022 0.00000 0.00282 15 10.948 35.000 0.00092 0.00168 0.00022 0.00000 0.00282 17 12.512 40.000 0.00092 0.00168 0.00022 0.00000 0.00282 19 14.076 45.000 0.00092 0.00168 0.00022 0.00000 0.00282 21 15.640 50.000 0.00092 0.00168 0.00022 0.00000 0.00282 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 0.0670 0.2458 0.3128 0.7858 0.00282 0.01148 3 1.564 5.000 0.0670 0.2458 0.3128 0.7858 0.00282 0.01148 5 3.128 10.000 0.0670 0.2458 0.3128 0.7858 0.00282 0.01148 7 4.692 15.000 0.0670 0.2458 0.3128 0.7858 0.00282 0.01148 9 6.256 20.000 0.0670 0.2458 0.3128 0.7858 0.00282 0.01148 11 7.820 25.000 0.0670 0.2458 0.3128 0.7858 0.00282 0.01148 13 9.384 30.000 0.0670 0.2458 0.3128 0.7858 0.00282 0.01148 15 10.948 35.000 0.0670 0.2458 0.3128 0.7858 0.00282 0.01148 17 12.512 40.000 0.0670 0.2458 0.3128 0.7858 0.00282 0.01148 19 14.076 45.000 0.0670 0.2458 0.3128 0.7858 0.00282 0.01148 21 15.640 50.000 0.0670 0.2458 0.3128 0.7858 0.00282 0.01148 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3217E-01 8 20.00 7.7166E-01 7 30.00 5.7086E-01 6 40.00 3.8313E-01 5 50.00 2.3811E-01 4 60.00 1.4052E-01 3 70.00 8.1002E-02 2 80.00 4.7194E-02 1 87.50 3.1786E-02 1 92.50 2.4130E-02 2 100.00 1.7158E-02 3 110.00 1.1756E-02 4 120.00 8.6615E-03 5 130.00 6.8867E-03 6 140.00 5.8557E-03 7 150.00 5.2538E-03 8 160.00 4.9100E-03 9 170.00 4.7326E-03 10 180.00 4.6712E-03 Asymptotic AOP values are MUu(inf) = 0.3552 MUd(inf) = 0.7553 MU(inf) = 0.7091 R(inf) = 0.0204 Lu(inf)/Ed(inf) = 0.003971 (1/sr) k(inf) = 0.0945 (1/m) absorp(check) = 0.0670 = 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 1.5526E-01 1.9877E+00 2.1430E+00 5.7643E-02 1.4251E+00 0.3713 0.7169 0.6381 4.0449E-02 1 0.00 0.00 5.6377E-02 1.5774E+00 1.6337E+00 2.3580E-02 1.3910E+00 0.4182 0.8819 0.8370 1.6951E-02 3 1.56 5.00 4.3443E-02 1.1045E+00 1.1479E+00 1.7096E-02 9.2333E-01 0.3935 0.8360 0.7894 1.8516E-02 5 3.13 10.00 3.0818E-02 7.4300E-01 7.7382E-01 1.1772E-02 6.0111E-01 0.3820 0.8090 0.7616 1.9583E-02 7 4.69 15.00 2.0990E-02 4.8815E-01 5.0914E-01 7.8775E-03 3.8635E-01 0.3753 0.7915 0.7434 2.0390E-02 9 6.26 20.00 1.3942E-02 3.1571E-01 3.2965E-01 5.1764E-03 2.4613E-01 0.3713 0.7796 0.7309 2.1031E-02 11 7.82 25.00 9.1110E-03 2.0200E-01 2.1111E-01 3.3612E-03 1.5584E-01 0.3689 0.7715 0.7223 2.1568E-02 13 9.38 30.00 5.8906E-03 1.2830E-01 1.3419E-01 2.1659E-03 9.8260E-02 0.3677 0.7659 0.7161 2.2043E-02 15 10.95 35.00 3.7827E-03 8.1077E-02 8.4859E-02 1.3892E-03 6.1778E-02 0.3672 0.7620 0.7116 2.2487E-02 17 12.51 40.00 2.4192E-03 5.1065E-02 5.3484E-02 8.8879E-04 3.8768E-02 0.3674 0.7592 0.7082 2.2926E-02 19 14.08 45.00 1.5439E-03 3.2092E-02 3.3636E-02 5.6807E-04 2.4299E-02 0.3679 0.7572 0.7055 2.3378E-02 21 15.64 50.00 9.8447E-04 2.0140E-02 2.1124E-02 3.6312E-04 1.5218E-02 0.3689 0.7556 0.7032 2.3861E-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 0.04142 0.06610 0.06525 0.05653 0.07931 0.07970 0.07465 5.000 5.010 5.005 0.06280 0.07612 0.07561 0.07071 0.08420 0.08445 0.08045 10.000 10.010 10.005 0.07349 0.08200 0.08166 0.07796 0.08729 0.08747 0.08390 15.000 15.010 15.005 0.07970 0.08579 0.08554 0.08244 0.08940 0.08955 0.08614 20.000 20.010 20.005 0.08370 0.08837 0.08817 0.08536 0.09087 0.09099 0.08758 25.000 25.010 25.005 0.08633 0.09014 0.08998 0.08726 0.09188 0.09198 0.08845 30.000 30.010 30.005 0.08802 0.09135 0.09121 0.08845 0.09257 0.09266 0.08891 35.000 35.010 35.005 0.08907 0.09217 0.09203 0.08914 0.09303 0.09312 0.08906 40.000 40.010 40.005 0.08967 0.09271 0.09257 0.08947 0.09333 0.09342 0.08900 45.000 45.010 45.005 0.08995 0.09306 0.09292 0.08955 0.09352 0.09362 0.08877 50.000 50.010 50.005 0.09000 0.09328 0.09313 0.08943 0.09364 0.09374 0.08841 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 1.06473E-01 3.06231E-03 7.95844E-03 1.10207E-02 2.14887E-03 0.074746 9 1 10.0 0.0 180.0 6.56983E-02 3.13122E-03 2.36614E-03 5.49736E-03 2.19723E-03 0.036015 9 4 10.0 45.0 135.0 7.21847E-02 3.11092E-03 2.74497E-03 5.85589E-03 2.18298E-03 0.038027 9 7 10.0 90.0 90.0 9.75275E-02 3.08867E-03 5.74034E-03 8.82902E-03 2.16737E-03 0.058859 8 1 20.0 0.0 180.0 5.16051E-02 3.17558E-03 1.26040E-03 4.43598E-03 2.22836E-03 0.024424 8 4 20.0 45.0 135.0 5.74504E-02 3.13174E-03 1.48543E-03 4.61717E-03 2.19759E-03 0.025856 8 7 20.0 90.0 90.0 8.44780E-02 3.10332E-03 3.36583E-03 6.46914E-03 2.17765E-03 0.039843 7 1 30.0 0.0 180.0 4.47444E-02 3.23584E-03 1.07710E-03 4.31294E-03 2.27064E-03 0.024072 7 4 30.0 45.0 135.0 4.96077E-02 3.21418E-03 1.20997E-03 4.42415E-03 2.25544E-03 0.024391 7 7 30.0 90.0 90.0 7.23380E-02 3.16248E-03 2.09245E-03 5.25493E-03 2.21916E-03 0.028926 6 1 40.0 0.0 180.0 4.24709E-02 3.28457E-03 1.19760E-03 4.48217E-03 2.30484E-03 0.028198 6 4 40.0 45.0 135.0 4.64396E-02 3.25445E-03 1.29888E-03 4.55332E-03 2.28370E-03 0.027969 6 7 40.0 90.0 90.0 6.52005E-02 3.20243E-03 1.88214E-03 5.08457E-03 2.24720E-03 0.028867 5 1 50.0 0.0 180.0 4.45293E-02 3.34791E-03 1.89181E-03 5.23972E-03 2.34928E-03 0.042485 5 4 50.0 45.0 135.0 4.74520E-02 3.29740E-03 1.97092E-03 5.26832E-03 2.31384E-03 0.041535 5 7 50.0 90.0 90.0 6.30755E-02 3.25251E-03 2.54802E-03 5.80053E-03 2.28234E-03 0.040396 4 1 60.0 0.0 180.0 5.28570E-02 3.32023E-03 4.40703E-03 7.72727E-03 2.32986E-03 0.083377 4 4 60.0 45.0 135.0 5.40532E-02 3.26410E-03 4.35187E-03 7.61597E-03 2.29047E-03 0.080511 4 7 60.0 90.0 90.0 6.67486E-02 3.26424E-03 5.08199E-03 8.34624E-03 2.29057E-03 0.076136 3 1 70.0 0.0 180.0 7.33395E-02 3.10105E-03 1.21734E-02 1.52745E-02 2.17606E-03 0.165987 3 4 70.0 45.0 135.0 7.12752E-02 3.08093E-03 1.17131E-02 1.47940E-02 2.16194E-03 0.164336 3 7 70.0 90.0 90.0 7.96840E-02 3.09012E-03 1.27374E-02 1.58275E-02 2.16839E-03 0.159849 2 1 80.0 0.0 180.0 1.24605E-01 2.67159E-03 3.02595E-02 3.29310E-02 1.87470E-03 0.242843 2 4 80.0 45.0 135.0 1.15382E-01 2.64751E-03 2.92672E-02 3.19147E-02 1.85780E-03 0.253655 2 7 80.0 90.0 90.0 1.14633E-01 2.66390E-03 3.06507E-02 3.33146E-02 1.86930E-03 0.267382 1 1 87.5 0.0 180.0 2.01463E-01 2.16317E-03 5.33668E-02 5.55299E-02 1.51793E-03 0.264896 1 4 87.5 45.0 135.0 1.81393E-01 2.04089E-03 5.30373E-02 5.50781E-02 1.43212E-03 0.292389 1 7 87.5 90.0 90.0 1.65027E-01 2.27986E-03 5.42802E-02 5.65600E-02 1.59982E-03 0.328916 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 1.102E-02 1.065E-01 1.285E-01 1.108E-01 1.661E-01 7.733E-03 5.230E+00 3.062E-03 2.149E-03 1 0.00 0.00 5.681E-03 1.982E-01 1.142E-02 1.321E-02 1.980E-02 4.084E-03 4.150E+00 3 1.56 5.00 3.850E-03 3.496E-01 9.084E-03 1.210E-02 2.250E-02 4.170E-03 4.440E+00 5 3.13 10.00 2.552E-03 3.397E-01 6.743E-03 9.354E-03 1.777E-02 4.245E-03 4.613E+00 7 4.69 15.00 1.668E-03 2.664E-01 4.771E-03 6.738E-03 1.260E-02 4.316E-03 4.724E+00 9 6.26 20.00 1.080E-03 1.886E-01 3.299E-03 4.670E-03 8.414E-03 4.388E-03 4.793E+00 11 7.82 25.00 6.953E-04 1.264E-01 2.249E-03 3.155E-03 5.418E-03 4.462E-03 4.834E+00 13 9.38 30.00 4.463E-04 8.209E-02 1.517E-03 2.094E-03 3.410E-03 4.542E-03 4.853E+00 15 10.95 35.00 2.860E-04 5.238E-02 1.015E-03 1.371E-03 2.118E-03 4.629E-03 4.858E+00 17 12.51 40.00 1.832E-04 3.309E-02 6.746E-04 8.894E-04 1.305E-03 4.726E-03 4.851E+00 19 14.08 45.00 1.175E-04 2.078E-02 4.457E-04 5.730E-04 8.017E-04 4.835E-03 4.836E+00 21 15.64 50.00 7.543E-05 1.301E-02 2.931E-04 3.673E-04 4.921E-04 4.957E-03 4.814E+00 Waveband 16 of 30 completed in 5.8 sec. * * * * * Output for wavelength band 17 (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 113.5 m at 565.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 560.0 nm to 570.0 nm: Ed(diffuse) = 3.870E-01 Ed(direct) = 1.026E+00 Ed(total) = 1.413E+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 0.0053 0.0000 0.0012 0.0706 3 1.575 5.000 0.0642 0.0053 0.0000 0.0012 0.0706 5 3.150 10.000 0.0642 0.0053 0.0000 0.0012 0.0706 7 4.725 15.000 0.0642 0.0053 0.0000 0.0012 0.0706 9 6.300 20.000 0.0642 0.0053 0.0000 0.0012 0.0706 11 7.874 25.000 0.0642 0.0053 0.0000 0.0012 0.0706 13 9.449 30.000 0.0642 0.0053 0.0000 0.0012 0.0706 15 11.024 35.000 0.0642 0.0053 0.0000 0.0012 0.0706 17 12.599 40.000 0.0642 0.0053 0.0000 0.0012 0.0706 19 14.174 45.000 0.0642 0.0053 0.0000 0.0012 0.0706 21 15.749 50.000 0.0642 0.0053 0.0000 0.0012 0.0706 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 0.1193 0.1233 0.0000 0.2444 3 1.575 5.000 0.0017 0.1193 0.1233 0.0000 0.2444 5 3.150 10.000 0.0017 0.1193 0.1233 0.0000 0.2444 7 4.725 15.000 0.0017 0.1193 0.1233 0.0000 0.2444 9 6.300 20.000 0.0017 0.1193 0.1233 0.0000 0.2444 11 7.874 25.000 0.0017 0.1193 0.1233 0.0000 0.2444 13 9.449 30.000 0.0017 0.1193 0.1233 0.0000 0.2444 15 11.024 35.000 0.0017 0.1193 0.1233 0.0000 0.2444 17 12.599 40.000 0.0017 0.1193 0.1233 0.0000 0.2444 19 14.174 45.000 0.0017 0.1193 0.1233 0.0000 0.2444 21 15.749 50.000 0.0017 0.1193 0.1233 0.0000 0.2444 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 0.00167 0.00022 0.00000 0.00274 3 1.575 5.000 0.00085 0.00167 0.00022 0.00000 0.00274 5 3.150 10.000 0.00085 0.00167 0.00022 0.00000 0.00274 7 4.725 15.000 0.00085 0.00167 0.00022 0.00000 0.00274 9 6.300 20.000 0.00085 0.00167 0.00022 0.00000 0.00274 11 7.874 25.000 0.00085 0.00167 0.00022 0.00000 0.00274 13 9.449 30.000 0.00085 0.00167 0.00022 0.00000 0.00274 15 11.024 35.000 0.00085 0.00167 0.00022 0.00000 0.00274 17 12.599 40.000 0.00085 0.00167 0.00022 0.00000 0.00274 19 14.174 45.000 0.00085 0.00167 0.00022 0.00000 0.00274 21 15.749 50.000 0.00085 0.00167 0.00022 0.00000 0.00274 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 0.0706 0.2444 0.3150 0.7758 0.00274 0.01122 3 1.575 5.000 0.0706 0.2444 0.3150 0.7758 0.00274 0.01122 5 3.150 10.000 0.0706 0.2444 0.3150 0.7758 0.00274 0.01122 7 4.725 15.000 0.0706 0.2444 0.3150 0.7758 0.00274 0.01122 9 6.300 20.000 0.0706 0.2444 0.3150 0.7758 0.00274 0.01122 11 7.874 25.000 0.0706 0.2444 0.3150 0.7758 0.00274 0.01122 13 9.449 30.000 0.0706 0.2444 0.3150 0.7758 0.00274 0.01122 15 11.024 35.000 0.0706 0.2444 0.3150 0.7758 0.00274 0.01122 17 12.599 40.000 0.0706 0.2444 0.3150 0.7758 0.00274 0.01122 19 14.174 45.000 0.0706 0.2444 0.3150 0.7758 0.00274 0.01122 21 15.749 50.000 0.0706 0.2444 0.3150 0.7758 0.00274 0.01122 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.2996E-01 8 20.00 7.6497E-01 7 30.00 5.6037E-01 6 40.00 3.7141E-01 5 50.00 2.2759E-01 4 60.00 1.3236E-01 3 70.00 7.5234E-02 2 80.00 4.3293E-02 1 87.50 2.8930E-02 1 92.50 2.1867E-02 2 100.00 1.5472E-02 3 110.00 1.0551E-02 4 120.00 7.7531E-03 5 130.00 6.1585E-03 6 140.00 5.2365E-03 7 150.00 4.7004E-03 8 160.00 4.3951E-03 9 170.00 4.2379E-03 10 180.00 4.1835E-03 Asymptotic AOP values are MUu(inf) = 0.3541 MUd(inf) = 0.7605 MU(inf) = 0.7173 R(inf) = 0.0188 Lu(inf)/Ed(inf) = 0.003638 (1/sr) k(inf) = 0.0984 (1/m) absorp(check) = 0.0706 = 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 1.5136E-01 1.9675E+00 2.1189E+00 5.6174E-02 1.4132E+00 0.3711 0.7183 0.6404 3.9749E-02 1 0.00 0.00 5.1605E-02 1.5605E+00 1.6121E+00 2.1495E-02 1.3785E+00 0.4165 0.8834 0.8418 1.5593E-02 3 1.57 5.00 3.9080E-02 1.0703E+00 1.1094E+00 1.5308E-02 8.9704E-01 0.3917 0.8381 0.7948 1.7065E-02 5 3.15 10.00 2.7188E-02 7.0496E-01 7.3215E-01 1.0344E-02 5.7231E-01 0.3805 0.8118 0.7676 1.8074E-02 7 4.72 15.00 1.8163E-02 4.5353E-01 4.7169E-01 6.7957E-03 3.6045E-01 0.3741 0.7948 0.7498 1.8854E-02 9 6.30 20.00 1.1840E-02 2.8727E-01 2.9911E-01 4.3868E-03 2.2502E-01 0.3705 0.7833 0.7376 1.9495E-02 11 7.87 25.00 7.5989E-03 1.8005E-01 1.8765E-01 2.8004E-03 1.3962E-01 0.3685 0.7754 0.7291 2.0057E-02 13 9.45 30.00 4.8290E-03 1.1204E-01 1.1687E-01 1.7758E-03 8.6279E-02 0.3677 0.7700 0.7230 2.0582E-02 15 11.02 35.00 3.0509E-03 6.9390E-02 7.2441E-02 1.1221E-03 5.3171E-02 0.3678 0.7663 0.7185 2.1104E-02 17 12.60 40.00 1.9218E-03 4.2839E-02 4.4761E-02 7.0815E-04 3.2710E-02 0.3685 0.7635 0.7149 2.1649E-02 19 14.17 45.00 1.2094E-03 2.6395E-02 2.7605E-02 4.4708E-04 2.0101E-02 0.3697 0.7615 0.7120 2.2242E-02 21 15.75 50.00 7.6146E-04 1.6244E-02 1.7006E-02 2.8273E-04 1.2345E-02 0.3713 0.7600 0.7093 2.2902E-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 0.04336 0.06985 0.06900 0.05961 0.08320 0.08358 0.07814 5.000 5.010 5.005 0.06667 0.08034 0.07985 0.07446 0.08822 0.08846 0.08400 10.000 10.010 10.005 0.07739 0.08621 0.08588 0.08170 0.09134 0.09152 0.08736 15.000 15.010 15.005 0.08352 0.08997 0.08973 0.08607 0.09346 0.09360 0.08946 20.000 20.010 20.005 0.08739 0.09252 0.09231 0.08884 0.09492 0.09504 0.09072 25.000 25.010 25.005 0.08986 0.09425 0.09407 0.09057 0.09591 0.09602 0.09137 30.000 30.010 30.005 0.09138 0.09542 0.09525 0.09155 0.09658 0.09669 0.09158 35.000 35.010 35.005 0.09223 0.09619 0.09602 0.09201 0.09702 0.09713 0.09145 40.000 40.010 40.005 0.09260 0.09669 0.09651 0.09208 0.09729 0.09741 0.09107 45.000 45.010 45.005 0.09263 0.09700 0.09680 0.09186 0.09746 0.09758 0.09049 50.000 50.010 50.005 0.09239 0.09717 0.09695 0.09142 0.09754 0.09768 0.08976 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 1.04429E-01 2.78367E-03 7.88459E-03 1.06683E-02 1.96974E-03 0.075502 9 1 10.0 0.0 180.0 6.44370E-02 2.84642E-03 2.33131E-03 5.17773E-03 2.01414E-03 0.036180 9 4 10.0 45.0 135.0 7.07988E-02 2.82787E-03 2.70590E-03 5.53378E-03 2.00102E-03 0.038220 9 7 10.0 90.0 90.0 9.56551E-02 2.80748E-03 5.67898E-03 8.48645E-03 1.98658E-03 0.059369 8 1 20.0 0.0 180.0 5.06144E-02 2.88665E-03 1.23674E-03 4.12339E-03 2.04261E-03 0.024435 8 4 20.0 45.0 135.0 5.63474E-02 2.84662E-03 1.45830E-03 4.30491E-03 2.01428E-03 0.025880 8 7 20.0 90.0 90.0 8.28562E-02 2.82050E-03 3.31978E-03 6.14028E-03 1.99580E-03 0.040067 7 1 30.0 0.0 180.0 4.38854E-02 2.94123E-03 1.05642E-03 3.99766E-03 2.08123E-03 0.024072 7 4 30.0 45.0 135.0 4.86557E-02 2.92129E-03 1.18680E-03 4.10810E-03 2.06712E-03 0.024392 7 7 30.0 90.0 90.0 7.09468E-02 2.87393E-03 2.05593E-03 4.92986E-03 2.03361E-03 0.028978 6 1 40.0 0.0 180.0 4.16555E-02 2.98512E-03 1.17461E-03 4.15973E-03 2.11229E-03 0.028198 6 4 40.0 45.0 135.0 4.55481E-02 2.95746E-03 1.27394E-03 4.23140E-03 2.09271E-03 0.027969 6 7 40.0 90.0 90.0 6.39488E-02 2.90979E-03 1.84625E-03 4.75604E-03 2.05898E-03 0.028871 5 1 50.0 0.0 180.0 4.36744E-02 3.04242E-03 1.85549E-03 4.89791E-03 2.15283E-03 0.042485 5 4 50.0 45.0 135.0 4.65410E-02 2.99625E-03 1.93308E-03 4.92932E-03 2.12016E-03 0.041535 5 7 50.0 90.0 90.0 6.18645E-02 2.95519E-03 2.49910E-03 5.45429E-03 2.09110E-03 0.040396 4 1 60.0 0.0 180.0 5.18422E-02 3.01711E-03 4.32243E-03 7.33954E-03 2.13492E-03 0.083377 4 4 60.0 45.0 135.0 5.30155E-02 2.96586E-03 4.26832E-03 7.23418E-03 2.09866E-03 0.080511 4 7 60.0 90.0 90.0 6.54672E-02 2.96595E-03 4.98443E-03 7.95038E-03 2.09872E-03 0.076136 3 1 70.0 0.0 180.0 7.19315E-02 2.81808E-03 1.19397E-02 1.47578E-02 1.99409E-03 0.165987 3 4 70.0 45.0 135.0 6.99069E-02 2.79967E-03 1.14882E-02 1.42879E-02 1.98106E-03 0.164336 3 7 70.0 90.0 90.0 7.81542E-02 2.80841E-03 1.24929E-02 1.53013E-02 1.98724E-03 0.159849 2 1 80.0 0.0 180.0 1.22213E-01 2.42812E-03 2.96785E-02 3.21066E-02 1.71815E-03 0.242843 2 4 80.0 45.0 135.0 1.13166E-01 2.40623E-03 2.87053E-02 3.11115E-02 1.70266E-03 0.253655 2 7 80.0 90.0 90.0 1.12432E-01 2.42186E-03 3.00622E-02 3.24841E-02 1.71372E-03 0.267382 1 1 87.5 0.0 180.0 1.97595E-01 1.96654E-03 5.23422E-02 5.43087E-02 1.39153E-03 0.264896 1 4 87.5 45.0 135.0 1.77910E-01 1.85548E-03 5.20190E-02 5.38745E-02 1.31295E-03 0.292389 1 7 87.5 90.0 90.0 1.61859E-01 2.07387E-03 5.32381E-02 5.53119E-02 1.46748E-03 0.328916 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 1.067E-02 1.044E-01 1.260E-01 1.086E-01 1.628E-01 7.549E-03 5.265E+00 2.784E-03 1.970E-03 1 0.00 0.00 5.164E-03 1.943E-01 1.045E-02 1.216E-02 1.841E-02 3.746E-03 4.162E+00 3 1.57 5.00 3.438E-03 3.387E-01 8.216E-03 1.102E-02 2.071E-02 3.833E-03 4.452E+00 5 3.15 10.00 2.239E-03 3.239E-01 5.974E-03 8.341E-03 1.598E-02 3.912E-03 4.620E+00 7 4.72 15.00 1.439E-03 2.499E-01 4.143E-03 5.884E-03 1.108E-02 3.991E-03 4.724E+00 9 6.30 20.00 9.167E-04 1.739E-01 2.810E-03 3.995E-03 7.241E-03 4.074E-03 4.785E+00 11 7.87 25.00 5.814E-04 1.145E-01 1.881E-03 2.647E-03 4.565E-03 4.164E-03 4.817E+00 13 9.45 30.00 3.679E-04 7.305E-02 1.246E-03 1.723E-03 2.815E-03 4.265E-03 4.826E+00 15 11.02 35.00 2.328E-04 4.577E-02 8.195E-04 1.108E-03 1.714E-03 4.379E-03 4.820E+00 17 12.60 40.00 1.475E-04 2.838E-02 5.356E-04 7.059E-04 1.036E-03 4.510E-03 4.801E+00 19 14.17 45.00 9.369E-05 1.749E-02 3.483E-04 4.471E-04 6.252E-04 4.661E-03 4.772E+00 21 15.75 50.00 5.970E-05 1.075E-02 2.255E-04 2.820E-04 3.772E-04 4.836E-03 4.736E+00 Waveband 17 of 30 completed in 5.8 sec. * * * * * Output for wavelength band 18 (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 111.3 m at 575.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 570.0 nm to 580.0 nm: Ed(diffuse) = 3.835E-01 Ed(direct) = 1.031E+00 Ed(total) = 1.415E+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 0.0049 0.0000 0.0010 0.0831 3 1.631 5.000 0.0772 0.0049 0.0000 0.0010 0.0831 5 3.261 10.000 0.0772 0.0049 0.0000 0.0010 0.0831 7 4.892 15.000 0.0772 0.0049 0.0000 0.0010 0.0831 9 6.522 20.000 0.0772 0.0049 0.0000 0.0010 0.0831 11 8.153 25.000 0.0772 0.0049 0.0000 0.0010 0.0831 13 9.783 30.000 0.0772 0.0049 0.0000 0.0010 0.0831 15 11.414 35.000 0.0772 0.0049 0.0000 0.0010 0.0831 17 13.044 40.000 0.0772 0.0049 0.0000 0.0010 0.0831 19 14.675 45.000 0.0772 0.0049 0.0000 0.0010 0.0831 21 16.305 50.000 0.0772 0.0049 0.0000 0.0010 0.0831 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 0.1187 0.1227 0.0000 0.2430 3 1.631 5.000 0.0016 0.1187 0.1227 0.0000 0.2430 5 3.261 10.000 0.0016 0.1187 0.1227 0.0000 0.2430 7 4.892 15.000 0.0016 0.1187 0.1227 0.0000 0.2430 9 6.522 20.000 0.0016 0.1187 0.1227 0.0000 0.2430 11 8.153 25.000 0.0016 0.1187 0.1227 0.0000 0.2430 13 9.783 30.000 0.0016 0.1187 0.1227 0.0000 0.2430 15 11.414 35.000 0.0016 0.1187 0.1227 0.0000 0.2430 17 13.044 40.000 0.0016 0.1187 0.1227 0.0000 0.2430 19 14.675 45.000 0.0016 0.1187 0.1227 0.0000 0.2430 21 16.305 50.000 0.0016 0.1187 0.1227 0.0000 0.2430 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 0.00166 0.00022 0.00000 0.00267 3 1.631 5.000 0.00079 0.00166 0.00022 0.00000 0.00267 5 3.261 10.000 0.00079 0.00166 0.00022 0.00000 0.00267 7 4.892 15.000 0.00079 0.00166 0.00022 0.00000 0.00267 9 6.522 20.000 0.00079 0.00166 0.00022 0.00000 0.00267 11 8.153 25.000 0.00079 0.00166 0.00022 0.00000 0.00267 13 9.783 30.000 0.00079 0.00166 0.00022 0.00000 0.00267 15 11.414 35.000 0.00079 0.00166 0.00022 0.00000 0.00267 17 13.044 40.000 0.00079 0.00166 0.00022 0.00000 0.00267 19 14.675 45.000 0.00079 0.00166 0.00022 0.00000 0.00267 21 16.305 50.000 0.00079 0.00166 0.00022 0.00000 0.00267 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 0.0831 0.2430 0.3261 0.7450 0.00267 0.01099 3 1.631 5.000 0.0831 0.2430 0.3261 0.7450 0.00267 0.01099 5 3.261 10.000 0.0831 0.2430 0.3261 0.7450 0.00267 0.01099 7 4.892 15.000 0.0831 0.2430 0.3261 0.7450 0.00267 0.01099 9 6.522 20.000 0.0831 0.2430 0.3261 0.7450 0.00267 0.01099 11 8.153 25.000 0.0831 0.2430 0.3261 0.7450 0.00267 0.01099 13 9.783 30.000 0.0831 0.2430 0.3261 0.7450 0.00267 0.01099 15 11.414 35.000 0.0831 0.2430 0.3261 0.7450 0.00267 0.01099 17 13.044 40.000 0.0831 0.2430 0.3261 0.7450 0.00267 0.01099 19 14.675 45.000 0.0831 0.2430 0.3261 0.7450 0.00267 0.01099 21 16.305 50.000 0.0831 0.2430 0.3261 0.7450 0.00267 0.01099 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.2312E-01 8 20.00 7.4457E-01 7 30.00 5.2914E-01 6 40.00 3.3761E-01 5 50.00 1.9830E-01 4 60.00 1.1052E-01 3 70.00 6.0403E-02 2 80.00 3.3642E-02 1 87.50 2.2061E-02 1 92.50 1.6528E-02 2 100.00 1.1592E-02 3 110.00 7.8575E-03 4 120.00 5.7751E-03 5 130.00 4.6059E-03 6 140.00 3.9379E-03 7 150.00 3.5533E-03 8 160.00 3.3360E-03 9 170.00 3.2248E-03 10 180.00 3.1862E-03 Asymptotic AOP values are MUu(inf) = 0.3540 MUd(inf) = 0.7750 MU(inf) = 0.7390 R(inf) = 0.0150 Lu(inf)/Ed(inf) = 0.002963 (1/sr) k(inf) = 0.1125 (1/m) absorp(check) = 0.0832 = 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 1.4731E-01 1.9664E+00 2.1137E+00 5.4396E-02 1.4148E+00 0.3693 0.7195 0.6436 3.8447E-02 1 0.00 0.00 4.2462E-02 1.5546E+00 1.5971E+00 1.7560E-02 1.3780E+00 0.4135 0.8864 0.8518 1.2743E-02 3 1.63 5.00 3.0066E-02 9.9148E-01 1.0215E+00 1.1692E-02 8.3566E-01 0.3889 0.8428 0.8066 1.3991E-02 5 3.26 10.00 1.9469E-02 6.0621E-01 6.2568E-01 7.3770E-03 4.9622E-01 0.3789 0.8186 0.7813 1.4866E-02 7 4.89 15.00 1.2129E-02 3.6208E-01 3.7421E-01 4.5351E-03 2.9078E-01 0.3739 0.8031 0.7649 1.5596E-02 9 6.52 20.00 7.3955E-03 2.1304E-01 2.2043E-01 2.7484E-03 1.6890E-01 0.3716 0.7928 0.7538 1.6272E-02 11 8.15 25.00 4.4555E-03 1.2412E-01 1.2857E-01 1.6541E-03 9.7546E-02 0.3712 0.7859 0.7458 1.6957E-02 13 9.78 30.00 2.6696E-03 7.1851E-02 7.4521E-02 9.9377E-04 5.6127E-02 0.3722 0.7812 0.7398 1.7706E-02 15 11.41 35.00 1.5983E-03 4.1430E-02 4.3029E-02 5.9836E-04 3.2223E-02 0.3744 0.7778 0.7350 1.8569E-02 17 13.04 40.00 9.5960E-04 2.3836E-02 2.4795E-02 3.6219E-04 1.8477E-02 0.3774 0.7752 0.7306 1.9602E-02 19 14.67 45.00 5.7938E-04 1.3699E-02 1.4279E-02 2.2094E-04 1.0591E-02 0.3813 0.7731 0.7263 2.0861E-02 21 16.31 50.00 3.5257E-04 7.8723E-03 8.2249E-03 1.3607E-04 6.0712E-03 0.3859 0.7712 0.7216 2.2413E-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 0.05263 0.08329 0.08247 0.07167 0.09700 0.09732 0.09095 5.000 5.010 5.005 0.08105 0.09517 0.09476 0.08829 0.10250 0.10270 0.09693 10.000 10.010 10.005 0.09160 0.10110 0.10081 0.09525 0.10575 0.10591 0.09986 15.000 15.010 15.005 0.09722 0.10479 0.10454 0.09905 0.10789 0.10803 0.10127 20.000 20.010 20.005 0.10043 0.10720 0.10698 0.10109 0.10931 0.10944 0.10165 25.000 25.010 25.005 0.10210 0.10878 0.10855 0.10190 0.11023 0.11037 0.10123 30.000 30.010 30.005 0.10267 0.10979 0.10953 0.10181 0.11081 0.11097 0.10019 35.000 35.010 35.005 0.10244 0.11039 0.11009 0.10104 0.11114 0.11133 0.09866 40.000 40.010 40.005 0.10157 0.11070 0.11035 0.09972 0.11129 0.11152 0.09673 45.000 45.010 45.005 0.10020 0.11080 0.11037 0.09796 0.11131 0.11159 0.09450 50.000 50.010 50.005 0.09842 0.11074 0.11021 0.09586 0.11122 0.11157 0.09205 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 1.03470E-01 2.27831E-03 7.88652E-03 1.01648E-02 1.61030E-03 0.076220 9 1 10.0 0.0 180.0 6.38454E-02 2.33191E-03 2.31989E-03 4.65179E-03 1.64818E-03 0.036336 9 4 10.0 45.0 135.0 7.01489E-02 2.31581E-03 2.69390E-03 5.00971E-03 1.63680E-03 0.038403 9 7 10.0 90.0 90.0 9.47770E-02 2.29690E-03 5.67282E-03 7.96972E-03 1.62344E-03 0.059854 8 1 20.0 0.0 180.0 5.01497E-02 2.36517E-03 1.22589E-03 3.59106E-03 1.67169E-03 0.024445 8 4 20.0 45.0 135.0 5.58301E-02 2.33081E-03 1.44622E-03 3.77703E-03 1.64741E-03 0.025904 8 7 20.0 90.0 90.0 8.20955E-02 2.30575E-03 3.30679E-03 5.61255E-03 1.62969E-03 0.040280 7 1 30.0 0.0 180.0 4.34825E-02 2.40956E-03 1.04672E-03 3.45628E-03 1.70307E-03 0.024072 7 4 30.0 45.0 135.0 4.82094E-02 2.39102E-03 1.17597E-03 3.56699E-03 1.68996E-03 0.024393 7 7 30.0 90.0 90.0 7.02931E-02 2.34710E-03 2.04050E-03 4.38759E-03 1.65892E-03 0.029028 6 1 40.0 0.0 180.0 4.12731E-02 2.44394E-03 1.16383E-03 3.60777E-03 1.72737E-03 0.028198 6 4 40.0 45.0 135.0 4.51299E-02 2.41844E-03 1.26225E-03 3.68068E-03 1.70934E-03 0.027969 6 7 40.0 90.0 90.0 6.33617E-02 2.37254E-03 1.82952E-03 4.20206E-03 1.67690E-03 0.028874 5 1 50.0 0.0 180.0 4.32735E-02 2.48905E-03 1.83845E-03 4.32751E-03 1.75925E-03 0.042485 5 4 50.0 45.0 135.0 4.61137E-02 2.44792E-03 1.91533E-03 4.36325E-03 1.73018E-03 0.041535 5 7 50.0 90.0 90.0 6.12966E-02 2.40624E-03 2.47616E-03 4.88240E-03 1.70072E-03 0.040396 4 1 60.0 0.0 180.0 5.13663E-02 2.46656E-03 4.28275E-03 6.74931E-03 1.74335E-03 0.083377 4 4 60.0 45.0 135.0 5.25288E-02 2.42095E-03 4.22913E-03 6.65009E-03 1.71112E-03 0.080511 4 7 60.0 90.0 90.0 6.48662E-02 2.41199E-03 4.93867E-03 7.35066E-03 1.70478E-03 0.076136 3 1 70.0 0.0 180.0 7.12711E-02 2.30235E-03 1.18301E-02 1.41324E-02 1.62729E-03 0.165987 3 4 70.0 45.0 135.0 6.92651E-02 2.28359E-03 1.13827E-02 1.36663E-02 1.61403E-03 0.164336 3 7 70.0 90.0 90.0 7.74367E-02 2.28173E-03 1.23782E-02 1.46599E-02 1.61271E-03 0.159849 2 1 80.0 0.0 180.0 1.21091E-01 1.98289E-03 2.94061E-02 3.13890E-02 1.40150E-03 0.242843 2 4 80.0 45.0 135.0 1.12128E-01 1.96170E-03 2.84418E-02 3.04035E-02 1.38652E-03 0.253655 2 7 80.0 90.0 90.0 1.11400E-01 1.96665E-03 2.97863E-02 3.17529E-02 1.39002E-03 0.267382 1 1 87.5 0.0 180.0 1.95781E-01 1.60576E-03 5.18617E-02 5.34674E-02 1.13494E-03 0.264896 1 4 87.5 45.0 135.0 1.76277E-01 1.51255E-03 5.15415E-02 5.30540E-02 1.06906E-03 0.292389 1 7 87.5 90.0 90.0 1.60373E-01 1.68420E-03 5.27493E-02 5.44335E-02 1.19039E-03 0.328916 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 1.016E-02 1.035E-01 1.246E-01 1.074E-01 1.611E-01 7.184E-03 5.351E+00 2.278E-03 1.610E-03 1 0.00 0.00 4.227E-03 1.925E-01 8.675E-03 1.013E-02 1.560E-02 3.068E-03 4.154E+00 3 1.63 5.00 2.638E-03 3.165E-01 6.438E-03 8.714E-03 1.667E-02 3.157E-03 4.432E+00 5 3.26 10.00 1.612E-03 2.843E-01 4.340E-03 6.100E-03 1.183E-02 3.248E-03 4.577E+00 7 4.89 15.00 9.744E-04 2.058E-01 2.800E-03 3.988E-03 7.561E-03 3.351E-03 4.654E+00 9 6.52 20.00 5.866E-04 1.343E-01 1.772E-03 2.518E-03 4.569E-03 3.473E-03 4.686E+00 11 8.15 25.00 3.532E-04 8.285E-02 1.110E-03 1.555E-03 2.672E-03 3.620E-03 4.684E+00 13 9.78 30.00 2.134E-04 4.950E-02 6.905E-04 9.463E-04 1.533E-03 3.802E-03 4.657E+00 15 11.41 35.00 1.298E-04 2.903E-02 4.277E-04 5.707E-04 8.718E-04 4.028E-03 4.610E+00 17 13.04 40.00 7.963E-05 1.683E-02 2.642E-04 3.424E-04 4.943E-04 4.310E-03 4.548E+00 19 14.67 45.00 4.937E-05 9.701E-03 1.630E-04 2.051E-04 2.809E-04 4.661E-03 4.475E+00 21 16.31 50.00 3.096E-05 5.570E-03 1.006E-04 1.229E-04 1.605E-04 5.100E-03 4.394E+00 Waveband 18 of 30 completed in 5.9 sec. * * * * * Output for wavelength band 19 (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 106.0 m at 585.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 580.0 nm to 590.0 nm: Ed(diffuse) = 3.707E-01 Ed(direct) = 1.010E+00 Ed(total) = 1.381E+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 0.0050 0.0000 0.0009 0.1159 3 1.788 5.000 0.1100 0.0050 0.0000 0.0009 0.1159 5 3.575 10.000 0.1100 0.0050 0.0000 0.0009 0.1159 7 5.363 15.000 0.1100 0.0050 0.0000 0.0009 0.1159 9 7.150 20.000 0.1100 0.0050 0.0000 0.0009 0.1159 11 8.938 25.000 0.1100 0.0050 0.0000 0.0009 0.1159 13 10.726 30.000 0.1100 0.0050 0.0000 0.0009 0.1159 15 12.513 35.000 0.1100 0.0050 0.0000 0.0009 0.1159 17 14.301 40.000 0.1100 0.0050 0.0000 0.0009 0.1159 19 16.088 45.000 0.1100 0.0050 0.0000 0.0009 0.1159 21 17.876 50.000 0.1100 0.0050 0.0000 0.0009 0.1159 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 0.1181 0.1220 0.0000 0.2416 3 1.788 5.000 0.0015 0.1181 0.1220 0.0000 0.2416 5 3.575 10.000 0.0015 0.1181 0.1220 0.0000 0.2416 7 5.363 15.000 0.0015 0.1181 0.1220 0.0000 0.2416 9 7.150 20.000 0.0015 0.1181 0.1220 0.0000 0.2416 11 8.938 25.000 0.0015 0.1181 0.1220 0.0000 0.2416 13 10.726 30.000 0.0015 0.1181 0.1220 0.0000 0.2416 15 12.513 35.000 0.0015 0.1181 0.1220 0.0000 0.2416 17 14.301 40.000 0.0015 0.1181 0.1220 0.0000 0.2416 19 16.088 45.000 0.0015 0.1181 0.1220 0.0000 0.2416 21 17.876 50.000 0.0015 0.1181 0.1220 0.0000 0.2416 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 0.00166 0.00021 0.00000 0.00260 3 1.788 5.000 0.00073 0.00166 0.00021 0.00000 0.00260 5 3.575 10.000 0.00073 0.00166 0.00021 0.00000 0.00260 7 5.363 15.000 0.00073 0.00166 0.00021 0.00000 0.00260 9 7.150 20.000 0.00073 0.00166 0.00021 0.00000 0.00260 11 8.938 25.000 0.00073 0.00166 0.00021 0.00000 0.00260 13 10.726 30.000 0.00073 0.00166 0.00021 0.00000 0.00260 15 12.513 35.000 0.00073 0.00166 0.00021 0.00000 0.00260 17 14.301 40.000 0.00073 0.00166 0.00021 0.00000 0.00260 19 16.088 45.000 0.00073 0.00166 0.00021 0.00000 0.00260 21 17.876 50.000 0.00073 0.00166 0.00021 0.00000 0.00260 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 0.1159 0.2416 0.3575 0.6758 0.00260 0.01078 3 1.788 5.000 0.1159 0.2416 0.3575 0.6758 0.00260 0.01078 5 3.575 10.000 0.1159 0.2416 0.3575 0.6758 0.00260 0.01078 7 5.363 15.000 0.1159 0.2416 0.3575 0.6758 0.00260 0.01078 9 7.150 20.000 0.1159 0.2416 0.3575 0.6758 0.00260 0.01078 11 8.938 25.000 0.1159 0.2416 0.3575 0.6758 0.00260 0.01078 13 10.726 30.000 0.1159 0.2416 0.3575 0.6758 0.00260 0.01078 15 12.513 35.000 0.1159 0.2416 0.3575 0.6758 0.00260 0.01078 17 14.301 40.000 0.1159 0.2416 0.3575 0.6758 0.00260 0.01078 19 16.088 45.000 0.1159 0.2416 0.3575 0.6758 0.00260 0.01078 21 17.876 50.000 0.1159 0.2416 0.3575 0.6758 0.00260 0.01078 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.0717E-01 8 20.00 6.9871E-01 7 30.00 4.6291E-01 6 40.00 2.7091E-01 5 50.00 1.4497E-01 4 60.00 7.3844E-02 3 70.00 3.7337E-02 2 80.00 1.9592E-02 1 87.50 1.2461E-02 1 92.50 9.2351E-03 2 100.00 6.4206E-03 3 110.00 4.3460E-03 4 120.00 3.2239E-03 5 130.00 2.6084E-03 6 140.00 2.2634E-03 7 150.00 2.0681E-03 8 160.00 1.9594E-03 9 170.00 1.9043E-03 10 180.00 1.8852E-03 Asymptotic AOP values are MUu(inf) = 0.3578 MUd(inf) = 0.8034 MU(inf) = 0.7783 R(inf) = 0.0098 Lu(inf)/Ed(inf) = 0.002022 (1/sr) k(inf) = 0.1489 (1/m) absorp(check) = 0.1159 = 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 1.3852E-01 1.9161E+00 2.0546E+00 5.0679E-02 1.3808E+00 0.3659 0.7207 0.6474 3.6703E-02 1 0.00 0.00 2.8671E-02 1.5066E+00 1.5353E+00 1.1736E-02 1.3419E+00 0.4094 0.8906 0.8664 8.7464E-03 3 1.79 5.00 1.6933E-02 7.9463E-01 8.1156E-01 6.5501E-03 6.7640E-01 0.3868 0.8512 0.8254 9.6839E-03 5 3.58 10.00 9.1470E-03 4.0066E-01 4.0980E-01 3.4841E-03 3.3303E-01 0.3809 0.8312 0.8041 1.0462E-02 7 5.36 15.00 4.8201E-03 1.9753E-01 2.0235E-01 1.8343E-03 1.6178E-01 0.3806 0.8190 0.7904 1.1339E-02 9 7.15 20.00 2.5345E-03 9.6124E-02 9.8658E-02 9.7346E-04 7.7964E-02 0.3841 0.8111 0.7804 1.2486E-02 11 8.94 25.00 1.3506E-03 4.6438E-02 4.7789E-02 5.2784E-04 3.7411E-02 0.3908 0.8056 0.7718 1.4109E-02 13 10.73 30.00 7.3842E-04 2.2365E-02 2.3104E-02 2.9554E-04 1.7922E-02 0.4002 0.8013 0.7629 1.6490E-02 15 12.51 35.00 4.1808E-04 1.0773E-02 1.1191E-02 1.7203E-04 8.5901E-03 0.4115 0.7974 0.7522 2.0026E-02 17 14.30 40.00 2.4648E-04 5.2077E-03 5.4542E-03 1.0437E-04 4.1289E-03 0.4234 0.7928 0.7379 2.5277E-02 19 16.09 45.00 1.5143E-04 2.5347E-03 2.6861E-03 6.5864E-05 1.9948E-03 0.4349 0.7870 0.7181 3.3017E-02 21 17.88 50.00 9.6650E-05 1.2469E-03 1.3436E-03 4.3015E-05 9.7147E-04 0.4451 0.7791 0.6910 4.4278E-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 0.08112 0.11926 0.11854 0.10464 0.13328 0.13353 0.12440 5.000 5.010 5.005 0.11829 0.13371 0.13339 0.12357 0.13984 0.14000 0.12936 10.000 10.010 10.005 0.12668 0.13961 0.13932 0.12807 0.14328 0.14345 0.12920 15.000 15.010 15.005 0.12899 0.14298 0.14265 0.12807 0.14534 0.14554 0.12609 20.000 20.010 20.005 0.12775 0.14494 0.14450 0.12502 0.14653 0.14680 0.12065 25.000 25.010 25.005 0.12375 0.14593 0.14531 0.11955 0.14710 0.14749 0.11344 30.000 30.010 30.005 0.11756 0.14620 0.14528 0.11231 0.14719 0.14778 0.10525 35.000 35.010 35.005 0.10987 0.14583 0.14449 0.10413 0.14687 0.14774 0.09694 40.000 40.010 40.005 0.10156 0.14483 0.14287 0.09592 0.14610 0.14740 0.08933 45.000 45.010 45.005 0.09350 0.14310 0.14030 0.08846 0.14482 0.14674 0.08292 50.000 50.010 50.005 0.08638 0.14048 0.13659 0.08223 0.14286 0.14567 0.07787 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 1.00019E-01 1.53828E-03 7.69050E-03 9.22878E-03 1.11404E-03 0.076891 9 1 10.0 0.0 180.0 6.17156E-02 1.57727E-03 2.25150E-03 3.82877E-03 1.14228E-03 0.036482 9 4 10.0 45.0 135.0 6.78088E-02 1.56523E-03 2.61562E-03 4.18084E-03 1.13356E-03 0.038573 9 7 10.0 90.0 90.0 9.16153E-02 1.54960E-03 5.52507E-03 7.07468E-03 1.12224E-03 0.060307 8 1 20.0 0.0 180.0 4.84768E-02 1.60003E-03 1.18545E-03 2.78549E-03 1.15877E-03 0.024454 8 4 20.0 45.0 135.0 5.39677E-02 1.57480E-03 1.39915E-03 2.97395E-03 1.14049E-03 0.025926 8 7 20.0 90.0 90.0 7.93569E-02 1.55308E-03 3.21226E-03 4.76535E-03 1.12476E-03 0.040479 7 1 30.0 0.0 180.0 4.20320E-02 1.62944E-03 1.01180E-03 2.64125E-03 1.18007E-03 0.024072 7 4 30.0 45.0 135.0 4.66016E-02 1.61407E-03 1.13680E-03 2.75087E-03 1.16893E-03 0.024394 7 7 30.0 90.0 90.0 6.79461E-02 1.57765E-03 1.97553E-03 3.55318E-03 1.14255E-03 0.029075 6 1 40.0 0.0 180.0 3.98963E-02 1.65030E-03 1.12500E-03 2.77531E-03 1.19517E-03 0.028198 6 4 40.0 45.0 135.0 4.36245E-02 1.62938E-03 1.22014E-03 2.84952E-03 1.18002E-03 0.027969 6 7 40.0 90.0 90.0 6.12481E-02 1.58919E-03 1.76869E-03 3.35789E-03 1.15091E-03 0.028878 5 1 50.0 0.0 180.0 4.18299E-02 1.67792E-03 1.77713E-03 3.45505E-03 1.21517E-03 0.042485 5 4 50.0 45.0 135.0 4.45754E-02 1.64578E-03 1.85144E-03 3.49722E-03 1.19190E-03 0.041535 5 7 50.0 90.0 90.0 5.92518E-02 1.60658E-03 2.39356E-03 4.00014E-03 1.16350E-03 0.040396 4 1 60.0 0.0 180.0 4.96528E-02 1.65984E-03 4.13988E-03 5.79972E-03 1.20208E-03 0.083377 4 4 60.0 45.0 135.0 5.07765E-02 1.62419E-03 4.08806E-03 5.71224E-03 1.17626E-03 0.080511 4 7 60.0 90.0 90.0 6.27023E-02 1.60542E-03 4.77392E-03 6.37935E-03 1.16267E-03 0.076136 3 1 70.0 0.0 180.0 6.88936E-02 1.54649E-03 1.14355E-02 1.29819E-02 1.11999E-03 0.165987 3 4 70.0 45.0 135.0 6.69545E-02 1.52879E-03 1.10030E-02 1.25318E-02 1.10717E-03 0.164336 3 7 70.0 90.0 90.0 7.48536E-02 1.51433E-03 1.19653E-02 1.34796E-02 1.09670E-03 0.159849 2 1 80.0 0.0 180.0 1.17051E-01 1.32996E-03 2.84251E-02 2.97551E-02 9.63174E-04 0.242843 2 4 80.0 45.0 135.0 1.08387E-01 1.31108E-03 2.74930E-02 2.88041E-02 9.49502E-04 0.253655 2 7 80.0 90.0 90.0 1.07684E-01 1.30245E-03 2.87926E-02 3.00951E-02 9.43249E-04 0.267382 1 1 87.5 0.0 180.0 1.89250E-01 1.07595E-03 5.01317E-02 5.12076E-02 7.79216E-04 0.264896 1 4 87.5 45.0 135.0 1.70397E-01 1.00982E-03 4.98221E-02 5.08320E-02 7.31328E-04 0.292389 1 7 87.5 90.0 90.0 1.55023E-01 1.11408E-03 5.09897E-02 5.21038E-02 8.06829E-04 0.328916 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 9.229E-03 1.000E-01 1.202E-01 1.036E-01 1.555E-01 6.684E-03 5.491E+00 1.538E-03 1.114E-03 1 0.00 0.00 2.854E-03 1.861E-01 5.982E-03 7.008E-03 1.105E-02 2.127E-03 4.112E+00 3 1.79 5.00 1.509E-03 2.598E-01 3.734E-03 5.103E-03 9.971E-03 2.231E-03 4.342E+00 5 3.58 10.00 7.895E-04 1.972E-01 2.076E-03 2.919E-03 5.699E-03 2.371E-03 4.413E+00 7 5.36 15.00 4.167E-04 1.205E-01 1.122E-03 1.580E-03 2.968E-03 2.576E-03 4.402E+00 9 7.15 20.00 2.247E-04 6.627E-02 6.044E-04 8.374E-04 1.479E-03 2.882E-03 4.332E+00 11 8.94 25.00 1.251E-04 3.442E-02 3.284E-04 4.413E-04 7.244E-04 3.344E-03 4.219E+00 13 10.73 30.00 7.242E-05 1.730E-02 1.811E-04 2.341E-04 3.550E-04 4.041E-03 4.081E+00 15 12.51 35.00 4.369E-05 8.525E-03 1.021E-04 1.263E-04 1.769E-04 5.086E-03 3.937E+00 17 14.30 40.00 2.744E-05 4.156E-03 5.915E-05 7.001E-05 9.089E-05 6.646E-03 3.803E+00 19 16.09 45.00 1.785E-05 2.016E-03 3.536E-05 4.015E-05 4.869E-05 8.949E-03 3.689E+00 21 17.88 50.00 1.195E-05 9.760E-04 2.184E-05 2.393E-05 2.740E-05 1.230E-02 3.599E+00 Waveband 19 of 30 completed in 6.6 sec. * * * * * Output for wavelength band 20 (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 98.4 m at 595.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 590.0 nm to 600.0 nm: Ed(diffuse) = 3.536E-01 Ed(direct) = 9.762E-01 Ed(total) = 1.330E+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 0.0050 0.0000 0.0008 0.1730 3 2.066 5.000 0.1672 0.0050 0.0000 0.0008 0.1730 5 4.132 10.000 0.1672 0.0050 0.0000 0.0008 0.1730 7 6.199 15.000 0.1672 0.0050 0.0000 0.0008 0.1730 9 8.265 20.000 0.1672 0.0050 0.0000 0.0008 0.1730 11 10.331 25.000 0.1672 0.0050 0.0000 0.0008 0.1730 13 12.397 30.000 0.1672 0.0050 0.0000 0.0008 0.1730 15 14.464 35.000 0.1672 0.0050 0.0000 0.0008 0.1730 17 16.530 40.000 0.1672 0.0050 0.0000 0.0008 0.1730 19 18.596 45.000 0.1672 0.0050 0.0000 0.0008 0.1730 21 20.662 50.000 0.1672 0.0050 0.0000 0.0008 0.1730 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 0.1175 0.1214 0.0000 0.2403 3 2.066 5.000 0.0014 0.1175 0.1214 0.0000 0.2403 5 4.132 10.000 0.0014 0.1175 0.1214 0.0000 0.2403 7 6.199 15.000 0.0014 0.1175 0.1214 0.0000 0.2403 9 8.265 20.000 0.0014 0.1175 0.1214 0.0000 0.2403 11 10.331 25.000 0.0014 0.1175 0.1214 0.0000 0.2403 13 12.397 30.000 0.0014 0.1175 0.1214 0.0000 0.2403 15 14.464 35.000 0.0014 0.1175 0.1214 0.0000 0.2403 17 16.530 40.000 0.0014 0.1175 0.1214 0.0000 0.2403 19 18.596 45.000 0.0014 0.1175 0.1214 0.0000 0.2403 21 20.662 50.000 0.0014 0.1175 0.1214 0.0000 0.2403 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 0.00165 0.00021 0.00000 0.00254 3 2.066 5.000 0.00068 0.00165 0.00021 0.00000 0.00254 5 4.132 10.000 0.00068 0.00165 0.00021 0.00000 0.00254 7 6.199 15.000 0.00068 0.00165 0.00021 0.00000 0.00254 9 8.265 20.000 0.00068 0.00165 0.00021 0.00000 0.00254 11 10.331 25.000 0.00068 0.00165 0.00021 0.00000 0.00254 13 12.397 30.000 0.00068 0.00165 0.00021 0.00000 0.00254 15 14.464 35.000 0.00068 0.00165 0.00021 0.00000 0.00254 17 16.530 40.000 0.00068 0.00165 0.00021 0.00000 0.00254 19 18.596 45.000 0.00068 0.00165 0.00021 0.00000 0.00254 21 20.662 50.000 0.00068 0.00165 0.00021 0.00000 0.00254 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 0.1730 0.2403 0.4132 0.5814 0.00254 0.01058 3 2.066 5.000 0.1730 0.2403 0.4132 0.5814 0.00254 0.01058 5 4.132 10.000 0.1730 0.2403 0.4132 0.5814 0.00254 0.01058 7 6.199 15.000 0.1730 0.2403 0.4132 0.5814 0.00254 0.01058 9 8.265 20.000 0.1730 0.2403 0.4132 0.5814 0.00254 0.01058 11 10.331 25.000 0.1730 0.2403 0.4132 0.5814 0.00254 0.01058 13 12.397 30.000 0.1730 0.2403 0.4132 0.5814 0.00254 0.01058 15 14.464 35.000 0.1730 0.2403 0.4132 0.5814 0.00254 0.01058 17 16.530 40.000 0.1730 0.2403 0.4132 0.5814 0.00254 0.01058 19 18.596 45.000 0.1730 0.2403 0.4132 0.5814 0.00254 0.01058 21 20.662 50.000 0.1730 0.2403 0.4132 0.5814 0.00254 0.01058 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.8321E-01 8 20.00 6.3417E-01 7 30.00 3.7864E-01 6 40.00 1.9587E-01 5 50.00 9.2385E-02 4 60.00 4.2034E-02 3 70.00 1.9477E-02 2 80.00 9.6564E-03 1 87.50 6.0038E-03 1 92.50 4.4389E-03 2 100.00 3.0902E-03 3 110.00 2.1119E-03 4 120.00 1.5954E-03 5 130.00 1.3174E-03 6 140.00 1.1643E-03 7 150.00 1.0791E-03 8 160.00 1.0324E-03 9 170.00 1.0092E-03 10 180.00 1.0010E-03 Asymptotic AOP values are MUu(inf) = 0.3655 MUd(inf) = 0.8354 MU(inf) = 0.8194 R(inf) = 0.0060 Lu(inf)/Ed(inf) = 0.001294 (1/sr) k(inf) = 0.2111 (1/m) absorp(check) = 0.1730 = 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 1.2934E-01 1.8424E+00 1.9718E+00 4.6984E-02 1.3298E+00 0.3633 0.7218 0.6506 3.5332E-02 1 0.00 0.00 1.7902E-02 1.4430E+00 1.4609E+00 7.2589E-03 1.2901E+00 0.4055 0.8940 0.8781 5.6268E-03 3 2.07 5.00 7.7363E-03 5.4819E-01 5.5593E-01 3.0092E-03 4.7193E-01 0.3890 0.8609 0.8435 6.3763E-03 5 4.13 10.00 3.1667E-03 1.9894E-01 2.0211E-01 1.2425E-03 1.6833E-01 0.3924 0.8461 0.8267 7.3815E-03 7 6.20 15.00 1.3576E-03 7.0865E-02 7.2222E-02 5.5027E-04 5.9334E-02 0.4053 0.8373 0.8139 9.2741E-03 9 8.26 20.00 6.4278E-04 2.5078E-02 2.5721E-02 2.7329E-04 2.0832E-02 0.4252 0.8307 0.7993 1.3119E-02 11 10.33 25.00 3.4517E-04 8.9105E-03 9.2557E-03 1.5405E-04 7.3358E-03 0.4463 0.8233 0.7759 2.1000E-02 13 12.40 30.00 2.0810E-04 3.2217E-03 3.4298E-03 9.6373E-05 2.6149E-03 0.4631 0.8116 0.7343 3.6856E-02 15 14.46 35.00 1.3619E-04 1.2099E-03 1.3461E-03 6.4532E-05 9.5722E-04 0.4738 0.7912 0.6632 6.7416E-02 17 16.53 40.00 9.3547E-05 4.8649E-04 5.8004E-04 4.4876E-05 3.6846E-04 0.4797 0.7574 0.5579 1.2179E-01 19 18.60 45.00 6.5895E-05 2.1720E-04 2.8310E-04 3.1806E-05 1.5424E-04 0.4827 0.7101 0.4325 2.0621E-01 21 20.66 50.00 4.6984E-05 1.1037E-04 1.5735E-04 2.2745E-05 7.2610E-05 0.4841 0.6579 0.3169 3.1325E-01 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 0.13689 0.18280 0.18224 0.16350 0.19654 0.19672 0.18219 5.000 5.010 5.005 0.17882 0.19969 0.19940 0.18002 0.20432 0.20448 0.18004 10.000 10.010 10.005 0.17622 0.20507 0.20462 0.17188 0.20767 0.20793 0.16495 15.000 15.010 15.005 0.16107 0.20744 0.20657 0.15263 0.20917 0.20970 0.14124 20.000 20.010 20.005 0.13739 0.20772 0.20596 0.12721 0.20929 0.21038 0.11524 25.000 25.010 25.005 0.11206 0.20574 0.20224 0.10323 0.20789 0.21014 0.09403 30.000 30.010 30.005 0.09192 0.20050 0.19391 0.08596 0.20426 0.20879 0.08031 35.000 35.010 35.005 0.07911 0.19019 0.17894 0.07572 0.19691 0.20568 0.07271 40.000 40.010 40.005 0.07214 0.17286 0.15661 0.07038 0.18374 0.19947 0.06890 45.000 45.010 45.005 0.06864 0.14870 0.13006 0.06779 0.16332 0.18815 0.06711 50.000 50.010 50.005 0.06701 0.12215 0.10568 0.06660 0.13747 0.16981 0.06630 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 9.54262E-02 9.62872E-04 7.40045E-03 8.36332E-03 7.24077E-04 0.077552 9 1 10.0 0.0 180.0 5.88819E-02 9.88643E-04 2.15659E-03 3.14523E-03 7.43457E-04 0.036626 9 4 10.0 45.0 135.0 6.46953E-02 9.80505E-04 2.50641E-03 3.48692E-03 7.37337E-04 0.038742 9 7 10.0 90.0 90.0 8.74087E-02 9.69255E-04 5.31041E-03 6.27966E-03 7.28877E-04 0.060754 8 1 20.0 0.0 180.0 4.62509E-02 1.00294E-03 1.13145E-03 2.13439E-03 7.54211E-04 0.024463 8 4 20.0 45.0 135.0 5.14897E-02 9.86075E-04 1.33602E-03 2.32209E-03 7.41525E-04 0.025947 8 7 20.0 90.0 90.0 7.57132E-02 9.69987E-04 3.07961E-03 4.04960E-03 7.29428E-04 0.040675 7 1 30.0 0.0 180.0 4.01020E-02 1.02091E-03 9.65346E-04 1.98625E-03 7.67718E-04 0.024072 7 4 30.0 45.0 135.0 4.44621E-02 1.00977E-03 1.08466E-03 2.09442E-03 7.59341E-04 0.024395 7 7 30.0 90.0 90.0 6.48243E-02 9.83405E-04 1.88774E-03 2.87115E-03 7.39518E-04 0.029121 6 1 40.0 0.0 180.0 3.80644E-02 1.03240E-03 1.07335E-03 2.10575E-03 7.76365E-04 0.028198 6 4 40.0 45.0 135.0 4.16214E-02 1.01736E-03 1.16411E-03 2.18147E-03 7.65051E-04 0.027969 6 7 40.0 90.0 90.0 5.84358E-02 9.87308E-04 1.68767E-03 2.67498E-03 7.42453E-04 0.028881 5 1 50.0 0.0 180.0 3.99093E-02 1.04784E-03 1.69553E-03 2.74337E-03 7.87974E-04 0.042485 5 4 50.0 45.0 135.0 4.25287E-02 1.02542E-03 1.76643E-03 2.79185E-03 7.71114E-04 0.041535 5 7 50.0 90.0 90.0 5.65312E-02 9.94924E-04 2.28366E-03 3.27858E-03 7.48180E-04 0.040396 4 1 60.0 0.0 180.0 4.73729E-02 1.03463E-03 3.94979E-03 4.98443E-03 7.78042E-04 0.083377 4 4 60.0 45.0 135.0 4.84450E-02 1.00975E-03 3.90035E-03 4.91009E-03 7.59326E-04 0.080511 4 7 60.0 90.0 90.0 5.98232E-02 9.91057E-04 4.55472E-03 5.54578E-03 7.45272E-04 0.076136 3 1 70.0 0.0 180.0 6.57303E-02 9.62030E-04 1.09104E-02 1.18724E-02 7.23444E-04 0.165987 3 4 70.0 45.0 135.0 6.38802E-02 9.48231E-04 1.04978E-02 1.14460E-02 7.13067E-04 0.164336 3 7 70.0 90.0 90.0 7.14166E-02 9.31816E-04 1.14159E-02 1.23477E-02 7.00723E-04 0.159849 2 1 80.0 0.0 180.0 1.11677E-01 8.25909E-04 2.71199E-02 2.79458E-02 6.21081E-04 0.242843 2 4 80.0 45.0 135.0 1.03410E-01 8.11596E-04 2.62306E-02 2.70422E-02 6.10318E-04 0.253655 2 7 80.0 90.0 90.0 1.02739E-01 7.99374E-04 2.74706E-02 2.82700E-02 6.01127E-04 0.267382 1 1 87.5 0.0 180.0 1.80561E-01 6.67262E-04 4.78298E-02 4.84970E-02 5.01779E-04 0.264896 1 4 87.5 45.0 135.0 1.62573E-01 6.24192E-04 4.75345E-02 4.81587E-02 4.69391E-04 0.292389 1 7 87.5 90.0 90.0 1.47905E-01 6.82493E-04 4.86484E-02 4.93309E-02 5.13233E-04 0.328916 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 8.363E-03 9.543E-02 1.145E-01 9.862E-02 1.481E-01 6.289E-03 5.618E+00 9.629E-04 7.241E-04 1 0.00 0.00 1.787E-03 1.775E-01 3.844E-03 4.522E-03 7.296E-03 1.385E-03 4.062E+00 3 2.07 5.00 7.174E-04 1.857E-01 1.733E-03 2.376E-03 4.701E-03 1.520E-03 4.195E+00 5 4.13 10.00 3.016E-04 1.051E-01 7.116E-04 9.843E-04 1.888E-03 1.792E-03 4.119E+00 7 6.20 15.00 1.400E-04 4.773E-02 3.026E-04 4.060E-04 7.176E-04 2.359E-03 3.931E+00 9 8.26 20.00 7.382E-05 1.950E-02 1.395E-04 1.764E-04 2.769E-04 3.544E-03 3.702E+00 11 10.33 25.00 4.390E-05 7.525E-03 7.167E-05 8.433E-05 1.155E-04 5.985E-03 3.509E+00 13 12.40 30.00 2.849E-05 2.815E-03 4.116E-05 4.538E-05 5.479E-05 1.090E-02 3.383E+00 15 14.46 35.00 1.948E-05 1.040E-03 2.590E-05 2.727E-05 3.007E-05 2.035E-02 3.313E+00 17 16.53 40.00 1.369E-05 3.857E-04 1.733E-05 1.777E-05 1.859E-05 3.716E-02 3.278E+00 19 18.60 45.00 9.753E-06 1.468E-04 1.202E-05 1.216E-05 1.240E-05 6.323E-02 3.261E+00 21 20.66 50.00 6.990E-06 5.906E-05 8.498E-06 8.541E-06 8.612E-06 9.627E-02 3.254E+00 Waveband 20 of 30 completed in 7.7 sec. * * * * * Output for wavelength band 21 (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 89.8 m at 605.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 600.0 nm to 610.0 nm: Ed(diffuse) = 3.601E-01 Ed(direct) = 1.006E+00 Ed(total) = 1.366E+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 0.0048 0.0000 0.0007 0.2631 3 2.511 5.000 0.2577 0.0048 0.0000 0.0007 0.2631 5 5.021 10.000 0.2577 0.0048 0.0000 0.0007 0.2631 7 7.532 15.000 0.2577 0.0048 0.0000 0.0007 0.2631 9 10.043 20.000 0.2577 0.0048 0.0000 0.0007 0.2631 11 12.553 25.000 0.2577 0.0048 0.0000 0.0007 0.2631 13 15.064 30.000 0.2577 0.0048 0.0000 0.0007 0.2631 15 17.575 35.000 0.2577 0.0048 0.0000 0.0007 0.2631 17 20.085 40.000 0.2577 0.0048 0.0000 0.0007 0.2631 19 22.596 45.000 0.2577 0.0048 0.0000 0.0007 0.2631 21 25.107 50.000 0.2577 0.0048 0.0000 0.0007 0.2631 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 0.1169 0.1208 0.0000 0.2390 3 2.511 5.000 0.0013 0.1169 0.1208 0.0000 0.2390 5 5.021 10.000 0.0013 0.1169 0.1208 0.0000 0.2390 7 7.532 15.000 0.0013 0.1169 0.1208 0.0000 0.2390 9 10.043 20.000 0.0013 0.1169 0.1208 0.0000 0.2390 11 12.553 25.000 0.0013 0.1169 0.1208 0.0000 0.2390 13 15.064 30.000 0.0013 0.1169 0.1208 0.0000 0.2390 15 17.575 35.000 0.0013 0.1169 0.1208 0.0000 0.2390 17 20.085 40.000 0.0013 0.1169 0.1208 0.0000 0.2390 19 22.596 45.000 0.0013 0.1169 0.1208 0.0000 0.2390 21 25.107 50.000 0.0013 0.1169 0.1208 0.0000 0.2390 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 0.00164 0.00021 0.00000 0.00249 3 2.511 5.000 0.00063 0.00164 0.00021 0.00000 0.00249 5 5.021 10.000 0.00063 0.00164 0.00021 0.00000 0.00249 7 7.532 15.000 0.00063 0.00164 0.00021 0.00000 0.00249 9 10.043 20.000 0.00063 0.00164 0.00021 0.00000 0.00249 11 12.553 25.000 0.00063 0.00164 0.00021 0.00000 0.00249 13 15.064 30.000 0.00063 0.00164 0.00021 0.00000 0.00249 15 17.575 35.000 0.00063 0.00164 0.00021 0.00000 0.00249 17 20.085 40.000 0.00063 0.00164 0.00021 0.00000 0.00249 19 22.596 45.000 0.00063 0.00164 0.00021 0.00000 0.00249 21 25.107 50.000 0.00063 0.00164 0.00021 0.00000 0.00249 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 0.2631 0.2390 0.5021 0.4759 0.00249 0.01040 3 2.511 5.000 0.2631 0.2390 0.5021 0.4759 0.00249 0.01040 5 5.021 10.000 0.2631 0.2390 0.5021 0.4759 0.00249 0.01040 7 7.532 15.000 0.2631 0.2390 0.5021 0.4759 0.00249 0.01040 9 10.043 20.000 0.2631 0.2390 0.5021 0.4759 0.00249 0.01040 11 12.553 25.000 0.2631 0.2390 0.5021 0.4759 0.00249 0.01040 13 15.064 30.000 0.2631 0.2390 0.5021 0.4759 0.00249 0.01040 15 17.575 35.000 0.2631 0.2390 0.5021 0.4759 0.00249 0.01040 17 20.085 40.000 0.2631 0.2390 0.5021 0.4759 0.00249 0.01040 19 22.596 45.000 0.2631 0.2390 0.5021 0.4759 0.00249 0.01040 21 25.107 50.000 0.2631 0.2390 0.5021 0.4759 0.00249 0.01040 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.5101E-01 8 20.00 5.5528E-01 7 30.00 2.8925E-01 6 40.00 1.2841E-01 5 50.00 5.2436E-02 4 60.00 2.1286E-02 3 70.00 9.1736E-03 2 80.00 4.3956E-03 1 87.50 2.7160E-03 1 92.50 2.0229E-03 2 100.00 1.4230E-03 3 110.00 9.8918E-04 4 120.00 7.6355E-04 5 130.00 6.4372E-04 6 140.00 5.7869E-04 7 150.00 5.4312E-04 8 160.00 5.2404E-04 9 170.00 5.1469E-04 10 180.00 5.1132E-04 Asymptotic AOP values are MUu(inf) = 0.3751 MUd(inf) = 0.8657 MU(inf) = 0.8556 R(inf) = 0.0036 Lu(inf)/Ed(inf) = 0.000818 (1/sr) k(inf) = 0.3076 (1/m) absorp(check) = 0.2632 = 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 1.2986E-01 1.8895E+00 2.0193E+00 4.6971E-02 1.3657E+00 0.3617 0.7228 0.6530 3.4394E-02 1 0.00 0.00 1.1693E-02 1.4763E+00 1.4880E+00 4.6990E-03 1.3234E+00 0.4019 0.8964 0.8862 3.5507E-03 3 2.51 5.00 3.1394E-03 3.3578E-01 3.3892E-01 1.2436E-03 2.9247E-01 0.3961 0.8710 0.8593 4.2522E-03 5 5.02 10.00 9.3093E-04 7.3289E-02 7.4220E-02 3.9053E-04 6.3116E-02 0.4195 0.8612 0.8451 6.1875E-03 7 7.53 15.00 3.7869E-04 1.5901E-02 1.6279E-02 1.7239E-04 1.3566E-02 0.4552 0.8532 0.8228 1.2707E-02 9 10.04 20.00 2.1208E-04 3.5447E-03 3.7568E-03 1.0184E-04 2.9681E-03 0.4802 0.8373 0.7630 3.4312E-02 11 12.55 25.00 1.4080E-04 8.7369E-04 1.0145E-03 6.9021E-05 6.9477E-04 0.4902 0.7952 0.6168 9.9344E-02 13 15.06 30.00 9.9153E-05 2.7391E-04 3.7306E-04 4.8892E-05 1.9479E-04 0.4931 0.7111 0.3911 2.5100E-01 15 17.57 35.00 7.0904E-05 1.2212E-04 1.9302E-04 3.5005E-05 7.5542E-05 0.4937 0.6186 0.2100 4.6338E-01 17 20.09 40.00 5.0821E-05 7.1925E-05 1.2275E-04 2.5089E-05 4.0610E-05 0.4937 0.5646 0.1264 6.1782E-01 19 22.60 45.00 3.6393E-05 4.8245E-05 8.4638E-05 1.7961E-05 2.6233E-05 0.4935 0.5437 0.0977 6.8469E-01 21 25.11 50.00 2.6025E-05 3.3834E-05 5.9860E-05 1.2840E-05 1.8169E-05 0.4934 0.5370 0.0890 7.0674E-01 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 0.23293 0.28394 0.28354 0.25910 0.29659 0.29672 0.27481 5.000 5.010 5.005 0.26341 0.30211 0.30175 0.25724 0.30518 0.30539 0.24702 10.000 10.010 10.005 0.21617 0.30584 0.30471 0.20033 0.30762 0.30829 0.18018 15.000 15.010 15.005 0.14435 0.30437 0.30064 0.12963 0.30667 0.30895 0.11450 20.000 20.010 20.005 0.09423 0.29364 0.28237 0.08738 0.29964 0.30719 0.08135 25.000 25.010 25.005 0.07407 0.26147 0.23544 0.07186 0.27736 0.30005 0.07021 30.000 30.010 30.005 0.06816 0.19757 0.16316 0.06756 0.22545 0.27842 0.06730 35.000 35.010 35.005 0.06683 0.12829 0.10571 0.06673 0.15305 0.22765 0.06684 40.000 40.010 40.005 0.06679 0.08857 0.07955 0.06682 0.10055 0.15511 0.06698 45.000 45.010 45.005 0.06704 0.07364 0.07080 0.06707 0.07786 0.10130 0.06721 50.000 50.010 50.005 0.06727 0.06906 0.06828 0.06731 0.07039 0.07782 0.06741 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 9.71580E-02 6.28115E-04 7.59453E-03 8.22264E-03 4.59934E-04 0.078167 9 1 10.0 0.0 180.0 5.99505E-02 6.45554E-04 2.20375E-03 2.84930E-03 4.72704E-04 0.036759 9 4 10.0 45.0 135.0 6.58694E-02 6.39970E-04 2.56222E-03 3.20219E-03 4.68615E-04 0.038899 9 7 10.0 90.0 90.0 8.89950E-02 6.31972E-04 5.44376E-03 6.07573E-03 4.62759E-04 0.061169 8 1 20.0 0.0 180.0 4.70903E-02 6.54958E-04 1.15239E-03 1.80735E-03 4.79590E-04 0.024472 8 4 20.0 45.0 135.0 5.24241E-02 6.43447E-04 1.36131E-03 2.00476E-03 4.71161E-04 0.025967 8 7 20.0 90.0 90.0 7.70872E-02 6.31824E-04 3.14956E-03 3.78139E-03 4.62650E-04 0.040857 7 1 30.0 0.0 180.0 4.08298E-02 6.66534E-04 9.82865E-04 1.64940E-03 4.88066E-04 0.024072 7 4 30.0 45.0 135.0 4.52693E-02 6.58543E-04 1.10439E-03 1.76293E-03 4.82215E-04 0.024396 7 7 30.0 90.0 90.0 6.59988E-02 6.39732E-04 1.92477E-03 2.56450E-03 4.68441E-04 0.029164 6 1 40.0 0.0 180.0 3.87552E-02 6.73383E-04 1.09282E-03 1.76621E-03 4.93081E-04 0.028198 6 4 40.0 45.0 135.0 4.23767E-02 6.62664E-04 1.18524E-03 1.84790E-03 4.85233E-04 0.027969 6 7 40.0 90.0 90.0 5.94963E-02 6.40843E-04 1.71848E-03 2.35932E-03 4.69255E-04 0.028884 5 1 50.0 0.0 180.0 4.06335E-02 6.82666E-04 1.72630E-03 2.40896E-03 4.99879E-04 0.042485 5 4 50.0 45.0 135.0 4.33005E-02 6.66978E-04 1.79848E-03 2.46546E-03 4.88391E-04 0.041535 5 7 50.0 90.0 90.0 5.75571E-02 6.44399E-04 2.32510E-03 2.96950E-03 4.71859E-04 0.040396 4 1 60.0 0.0 180.0 4.82326E-02 6.73233E-04 4.02147E-03 4.69471E-03 4.92972E-04 0.083377 4 4 60.0 45.0 135.0 4.93242E-02 6.55814E-04 3.97113E-03 4.62694E-03 4.80217E-04 0.080511 4 7 60.0 90.0 90.0 6.09089E-02 6.40509E-04 4.63738E-03 5.27789E-03 4.69009E-04 0.076136 3 1 70.0 0.0 180.0 6.69231E-02 6.25123E-04 1.11084E-02 1.17335E-02 4.57743E-04 0.165987 3 4 70.0 45.0 135.0 6.50395E-02 6.14881E-04 1.06883E-02 1.13032E-02 4.50244E-04 0.164336 3 7 70.0 90.0 90.0 7.27126E-02 6.00865E-04 1.16230E-02 1.22239E-02 4.39981E-04 0.159849 2 1 80.0 0.0 180.0 1.13703E-01 5.36029E-04 2.76121E-02 2.81481E-02 3.92505E-04 0.242843 2 4 80.0 45.0 135.0 1.05287E-01 5.25555E-04 2.67066E-02 2.72322E-02 3.84835E-04 0.253655 2 7 80.0 90.0 90.0 1.04604E-01 5.14508E-04 2.79691E-02 2.84836E-02 3.76746E-04 0.267382 1 1 87.5 0.0 180.0 1.83838E-01 4.32641E-04 4.86978E-02 4.91304E-02 3.16799E-04 0.264896 1 4 87.5 45.0 135.0 1.65523E-01 4.03769E-04 4.83971E-02 4.88009E-02 2.95658E-04 0.292389 1 7 87.5 90.0 90.0 1.50590E-01 4.38651E-04 4.95313E-02 4.99699E-02 3.21200E-04 0.328916 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 8.223E-03 9.716E-02 1.165E-01 1.003E-01 1.507E-01 6.021E-03 5.712E+00 6.281E-04 4.599E-04 1 0.00 0.00 1.166E-03 1.807E-01 2.608E-03 3.083E-03 5.078E-03 8.809E-04 4.031E+00 3 2.51 5.00 3.100E-04 1.195E-01 6.969E-04 9.517E-04 1.879E-03 1.060E-03 4.012E+00 5 5.02 10.00 1.055E-04 4.240E-02 1.965E-04 2.581E-04 4.613E-04 1.671E-03 3.702E+00 7 7.53 15.00 5.112E-05 1.208E-02 7.334E-05 8.694E-05 1.271E-04 3.768E-03 3.373E+00 9 10.04 20.00 3.177E-05 3.105E-03 3.807E-05 4.092E-05 4.846E-05 1.070E-02 3.206E+00 11 12.55 25.00 2.189E-05 7.661E-04 2.434E-05 2.492E-05 2.629E-05 3.151E-02 3.153E+00 13 15.06 30.00 1.556E-05 1.936E-04 1.692E-05 1.704E-05 1.728E-05 7.990E-02 3.141E+00 15 17.57 35.00 1.114E-05 5.600E-05 1.206E-05 1.209E-05 1.213E-05 1.475E-01 3.142E+00 17 20.09 40.00 7.978E-06 2.139E-05 8.646E-06 8.650E-06 8.657E-06 1.964E-01 3.145E+00 19 22.60 45.00 5.706E-06 1.116E-05 6.195E-06 6.196E-06 6.197E-06 2.175E-01 3.148E+00 21 25.11 50.00 4.076E-06 7.075E-06 4.433E-06 4.434E-06 4.434E-06 2.243E-01 3.150E+00 Waveband 21 of 30 completed in 9.1 sec. * * * * * Output for wavelength band 22 (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 89.1 m at 615.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 610.0 nm to 620.0 nm: Ed(diffuse) = 3.486E-01 Ed(direct) = 9.845E-01 Ed(total) = 1.333E+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 0.0049 0.0000 0.0006 0.2733 3 2.555 5.000 0.2678 0.0049 0.0000 0.0006 0.2733 5 5.110 10.000 0.2678 0.0049 0.0000 0.0006 0.2733 7 7.665 15.000 0.2678 0.0049 0.0000 0.0006 0.2733 9 10.220 20.000 0.2678 0.0049 0.0000 0.0006 0.2733 11 12.775 25.000 0.2678 0.0049 0.0000 0.0006 0.2733 13 15.330 30.000 0.2678 0.0049 0.0000 0.0006 0.2733 15 17.885 35.000 0.2678 0.0049 0.0000 0.0006 0.2733 17 20.441 40.000 0.2678 0.0049 0.0000 0.0006 0.2733 19 22.996 45.000 0.2678 0.0049 0.0000 0.0006 0.2733 21 25.551 50.000 0.2678 0.0049 0.0000 0.0006 0.2733 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 0.1163 0.1202 0.0000 0.2377 3 2.555 5.000 0.0012 0.1163 0.1202 0.0000 0.2377 5 5.110 10.000 0.0012 0.1163 0.1202 0.0000 0.2377 7 7.665 15.000 0.0012 0.1163 0.1202 0.0000 0.2377 9 10.220 20.000 0.0012 0.1163 0.1202 0.0000 0.2377 11 12.775 25.000 0.0012 0.1163 0.1202 0.0000 0.2377 13 15.330 30.000 0.0012 0.1163 0.1202 0.0000 0.2377 15 17.885 35.000 0.0012 0.1163 0.1202 0.0000 0.2377 17 20.441 40.000 0.0012 0.1163 0.1202 0.0000 0.2377 19 22.996 45.000 0.0012 0.1163 0.1202 0.0000 0.2377 21 25.551 50.000 0.0012 0.1163 0.1202 0.0000 0.2377 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 0.00163 0.00021 0.00000 0.00243 3 2.555 5.000 0.00059 0.00163 0.00021 0.00000 0.00243 5 5.110 10.000 0.00059 0.00163 0.00021 0.00000 0.00243 7 7.665 15.000 0.00059 0.00163 0.00021 0.00000 0.00243 9 10.220 20.000 0.00059 0.00163 0.00021 0.00000 0.00243 11 12.775 25.000 0.00059 0.00163 0.00021 0.00000 0.00243 13 15.330 30.000 0.00059 0.00163 0.00021 0.00000 0.00243 15 17.885 35.000 0.00059 0.00163 0.00021 0.00000 0.00243 17 20.441 40.000 0.00059 0.00163 0.00021 0.00000 0.00243 19 22.996 45.000 0.00059 0.00163 0.00021 0.00000 0.00243 21 25.551 50.000 0.00059 0.00163 0.00021 0.00000 0.00243 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 0.2733 0.2377 0.5110 0.4652 0.00243 0.01024 3 2.555 5.000 0.2733 0.2377 0.5110 0.4652 0.00243 0.01024 5 5.110 10.000 0.2733 0.2377 0.5110 0.4652 0.00243 0.01024 7 7.665 15.000 0.2733 0.2377 0.5110 0.4652 0.00243 0.01024 9 10.220 20.000 0.2733 0.2377 0.5110 0.4652 0.00243 0.01024 11 12.775 25.000 0.2733 0.2377 0.5110 0.4652 0.00243 0.01024 13 15.330 30.000 0.2733 0.2377 0.5110 0.4652 0.00243 0.01024 15 17.885 35.000 0.2733 0.2377 0.5110 0.4652 0.00243 0.01024 17 20.441 40.000 0.2733 0.2377 0.5110 0.4652 0.00243 0.01024 19 22.996 45.000 0.2733 0.2377 0.5110 0.4652 0.00243 0.01024 21 25.551 50.000 0.2733 0.2377 0.5110 0.4652 0.00243 0.01024 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.4729E-01 8 20.00 5.4672E-01 7 30.00 2.8040E-01 6 40.00 1.2241E-01 5 50.00 4.9230E-02 4 60.00 1.9759E-02 3 70.00 8.4580E-03 2 80.00 4.0391E-03 1 87.50 2.4927E-03 1 92.50 1.8564E-03 2 100.00 1.3054E-03 3 110.00 9.0687E-04 4 120.00 6.9991E-04 5 130.00 5.9011E-04 6 140.00 5.3054E-04 7 150.00 4.9796E-04 8 160.00 4.8049E-04 9 170.00 4.7192E-04 10 180.00 4.6884E-04 Asymptotic AOP values are MUu(inf) = 0.3750 MUd(inf) = 0.8686 MU(inf) = 0.8590 R(inf) = 0.0034 Lu(inf)/Ed(inf) = 0.000767 (1/sr) k(inf) = 0.3182 (1/m) absorp(check) = 0.2733 = 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 1.2584E-01 1.8420E+00 1.9678E+00 4.5617E-02 1.3331E+00 0.3625 0.7237 0.6543 3.4218E-02 1 0.00 0.00 1.0746E-02 1.4404E+00 1.4512E+00 4.3021E-03 1.2918E+00 0.4004 0.8968 0.8872 3.3303E-03 3 2.56 5.00 2.7187E-03 3.0956E-01 3.1227E-01 1.0738E-03 2.7002E-01 0.3950 0.8723 0.8612 3.9766E-03 5 5.11 10.00 7.6486E-04 6.3881E-02 6.4645E-02 3.2051E-04 5.5130E-02 0.4190 0.8630 0.8478 5.8137E-03 7 7.67 15.00 3.0036E-04 1.3113E-02 1.3413E-02 1.3691E-04 1.1216E-02 0.4558 0.8554 0.8260 1.2207E-02 9 10.22 20.00 1.6473E-04 2.7707E-03 2.9355E-03 7.9215E-05 2.3256E-03 0.4809 0.8394 0.7653 3.4062E-02 11 12.78 25.00 1.0735E-04 6.5177E-04 7.5911E-04 5.2655E-05 5.1831E-04 0.4905 0.7952 0.6134 1.0159E-01 13 15.33 30.00 7.4114E-05 1.9870E-04 2.7281E-04 3.6550E-05 1.4050E-04 0.4932 0.7071 0.3810 2.6014E-01 15 17.89 35.00 5.1928E-05 8.7811E-05 1.3974E-04 2.5634E-05 5.3883E-05 0.4937 0.6136 0.2022 4.7574E-01 17 20.44 40.00 3.6471E-05 5.1351E-05 8.7823E-05 1.8001E-05 2.8866E-05 0.4936 0.5621 0.1237 6.2361E-01 19 23.00 45.00 2.5602E-05 3.3994E-05 5.9595E-05 1.2632E-05 1.8465E-05 0.4934 0.5432 0.0979 6.8409E-01 21 25.55 50.00 1.7956E-05 2.3438E-05 4.1394E-05 8.8564E-06 1.2592E-05 0.4932 0.5373 0.0903 7.0332E-01 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 0.24417 0.29525 0.29487 0.27064 0.30770 0.30783 0.28649 5.000 5.010 5.005 0.27497 0.31339 0.31305 0.26859 0.31630 0.31649 0.25803 10.000 10.010 10.005 0.22522 0.31699 0.31590 0.20883 0.31866 0.31930 0.18794 15.000 15.010 15.005 0.14956 0.31534 0.31162 0.13458 0.31758 0.31985 0.11923 20.000 20.010 20.005 0.09795 0.30394 0.29237 0.09122 0.31012 0.31785 0.08536 25.000 25.010 25.005 0.07791 0.26932 0.24223 0.07583 0.28608 0.30988 0.07433 30.000 30.010 30.005 0.07218 0.20081 0.16585 0.07167 0.22985 0.28553 0.07150 35.000 35.010 35.005 0.07092 0.12932 0.10762 0.07085 0.15376 0.22904 0.07100 40.000 40.010 40.005 0.07083 0.09062 0.08240 0.07086 0.10174 0.15291 0.07106 45.000 45.010 45.005 0.07096 0.07676 0.07427 0.07102 0.08052 0.10111 0.07119 50.000 50.010 50.005 0.07110 0.07265 0.07197 0.07115 0.07381 0.08012 0.07129 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 9.40678E-02 5.72506E-04 7.40839E-03 7.98090E-03 4.29452E-04 0.078756 9 1 10.0 0.0 180.0 5.80437E-02 5.88334E-04 2.14110E-03 2.72943E-03 4.41325E-04 0.036888 9 4 10.0 45.0 135.0 6.37743E-02 5.83274E-04 2.49030E-03 3.07357E-03 4.37529E-04 0.039049 9 7 10.0 90.0 90.0 8.61644E-02 5.76066E-04 5.30490E-03 5.88097E-03 4.32122E-04 0.061567 8 1 20.0 0.0 180.0 4.55925E-02 5.96932E-04 1.11611E-03 1.71304E-03 4.47775E-04 0.024480 8 4 20.0 45.0 135.0 5.07567E-02 5.86480E-04 1.31899E-03 1.90547E-03 4.39934E-04 0.025986 8 7 20.0 90.0 90.0 7.46354E-02 5.76022E-04 3.06243E-03 3.63845E-03 4.32090E-04 0.041032 7 1 30.0 0.0 180.0 3.95312E-02 6.07539E-04 9.51604E-04 1.55914E-03 4.55731E-04 0.024072 7 4 30.0 45.0 135.0 4.38298E-02 6.00309E-04 1.06931E-03 1.66962E-03 4.50308E-04 0.024397 7 7 30.0 90.0 90.0 6.38979E-02 5.83358E-04 1.86611E-03 2.44947E-03 4.37593E-04 0.029205 6 1 40.0 0.0 180.0 3.75225E-02 6.13893E-04 1.05807E-03 1.67196E-03 4.60498E-04 0.028198 6 4 40.0 45.0 135.0 4.10289E-02 6.04214E-04 1.14754E-03 1.75176E-03 4.53237E-04 0.027969 6 7 40.0 90.0 90.0 5.76039E-02 5.84603E-04 1.66399E-03 2.24859E-03 4.38526E-04 0.028887 5 1 50.0 0.0 180.0 3.93411E-02 6.22503E-04 1.67139E-03 2.29389E-03 4.66956E-04 0.042485 5 4 50.0 45.0 135.0 4.19233E-02 6.08320E-04 1.74128E-03 2.34960E-03 4.56317E-04 0.041535 5 7 50.0 90.0 90.0 5.57265E-02 5.88104E-04 2.25115E-03 2.83925E-03 4.41153E-04 0.040396 4 1 60.0 0.0 180.0 4.66985E-02 6.14066E-04 3.89357E-03 4.50763E-03 4.60628E-04 0.083377 4 4 60.0 45.0 135.0 4.77554E-02 5.98329E-04 3.84482E-03 4.44315E-03 4.48823E-04 0.080511 4 7 60.0 90.0 90.0 5.89717E-02 5.84831E-04 4.48988E-03 5.07472E-03 4.38698E-04 0.076136 3 1 70.0 0.0 180.0 6.47946E-02 5.70386E-04 1.07551E-02 1.13254E-02 4.27862E-04 0.165987 3 4 70.0 45.0 135.0 6.29709E-02 5.61216E-04 1.03484E-02 1.09096E-02 4.20983E-04 0.164336 3 7 70.0 90.0 90.0 7.03999E-02 5.48961E-04 1.12534E-02 1.18023E-02 4.11790E-04 0.159849 2 1 80.0 0.0 180.0 1.10087E-01 4.89270E-04 2.67339E-02 2.72232E-02 3.67015E-04 0.242843 2 4 80.0 45.0 135.0 1.01938E-01 4.79888E-04 2.58572E-02 2.63371E-02 3.59977E-04 0.253655 2 7 80.0 90.0 90.0 1.01277E-01 4.70335E-04 2.70795E-02 2.75499E-02 3.52811E-04 0.267382 1 1 87.5 0.0 180.0 1.77990E-01 3.95060E-04 4.71489E-02 4.75440E-02 2.96345E-04 0.264896 1 4 87.5 45.0 135.0 1.60258E-01 3.68853E-04 4.68578E-02 4.72267E-02 2.76687E-04 0.292389 1 7 87.5 90.0 90.0 1.45800E-01 4.01243E-04 4.79559E-02 4.83571E-02 3.00983E-04 0.328916 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 7.981E-03 9.407E-02 1.128E-01 9.708E-02 1.459E-01 5.987E-03 5.716E+00 5.725E-04 4.295E-04 1 0.00 0.00 1.063E-03 1.750E-01 2.405E-03 2.856E-03 4.735E-03 8.225E-04 4.049E+00 3 2.56 5.00 2.667E-04 1.103E-01 6.042E-04 8.290E-04 1.646E-03 9.876E-04 4.027E+00 5 5.11 10.00 8.652E-05 3.721E-02 1.615E-04 2.127E-04 3.811E-04 1.569E-03 3.704E+00 7 7.67 15.00 4.068E-05 1.008E-02 5.809E-05 6.874E-05 1.001E-04 3.627E-03 3.366E+00 9 10.22 20.00 2.476E-05 2.462E-03 2.952E-05 3.163E-05 3.719E-05 1.065E-02 3.200E+00 11 12.78 25.00 1.672E-05 5.777E-04 1.855E-05 1.896E-05 1.991E-05 3.226E-02 3.149E+00 13 15.33 30.00 1.164E-05 1.396E-04 1.266E-05 1.273E-05 1.289E-05 8.286E-02 3.139E+00 15 17.89 35.00 8.161E-06 3.917E-05 8.844E-06 8.858E-06 8.885E-06 1.515E-01 3.141E+00 17 20.44 40.00 5.725E-06 1.486E-05 6.212E-06 6.215E-06 6.219E-06 1.983E-01 3.145E+00 19 23.00 45.00 4.013E-06 7.763E-06 4.364E-06 4.364E-06 4.365E-06 2.173E-01 3.148E+00 21 25.55 50.00 2.811E-06 4.888E-06 3.063E-06 3.063E-06 3.063E-06 2.232E-01 3.151E+00 Waveband 22 of 30 completed in 9.4 sec. * * * * * Output for wavelength band 23 (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 88.1 m at 625.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 620.0 nm to 630.0 nm: Ed(diffuse) = 3.421E-01 Ed(direct) = 9.764E-01 Ed(total) = 1.319E+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 0.0050 0.0000 0.0005 0.2889 3 2.627 5.000 0.2834 0.0050 0.0000 0.0005 0.2889 5 5.254 10.000 0.2834 0.0050 0.0000 0.0005 0.2889 7 7.882 15.000 0.2834 0.0050 0.0000 0.0005 0.2889 9 10.509 20.000 0.2834 0.0050 0.0000 0.0005 0.2889 11 13.136 25.000 0.2834 0.0050 0.0000 0.0005 0.2889 13 15.763 30.000 0.2834 0.0050 0.0000 0.0005 0.2889 15 18.391 35.000 0.2834 0.0050 0.0000 0.0005 0.2889 17 21.018 40.000 0.2834 0.0050 0.0000 0.0005 0.2889 19 23.645 45.000 0.2834 0.0050 0.0000 0.0005 0.2889 21 26.272 50.000 0.2834 0.0050 0.0000 0.0005 0.2889 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 0.1158 0.1196 0.0000 0.2365 3 2.627 5.000 0.0011 0.1158 0.1196 0.0000 0.2365 5 5.254 10.000 0.0011 0.1158 0.1196 0.0000 0.2365 7 7.882 15.000 0.0011 0.1158 0.1196 0.0000 0.2365 9 10.509 20.000 0.0011 0.1158 0.1196 0.0000 0.2365 11 13.136 25.000 0.0011 0.1158 0.1196 0.0000 0.2365 13 15.763 30.000 0.0011 0.1158 0.1196 0.0000 0.2365 15 18.391 35.000 0.0011 0.1158 0.1196 0.0000 0.2365 17 21.018 40.000 0.0011 0.1158 0.1196 0.0000 0.2365 19 23.645 45.000 0.0011 0.1158 0.1196 0.0000 0.2365 21 26.272 50.000 0.0011 0.1158 0.1196 0.0000 0.2365 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 0.00162 0.00021 0.00000 0.00238 3 2.627 5.000 0.00055 0.00162 0.00021 0.00000 0.00238 5 5.254 10.000 0.00055 0.00162 0.00021 0.00000 0.00238 7 7.882 15.000 0.00055 0.00162 0.00021 0.00000 0.00238 9 10.509 20.000 0.00055 0.00162 0.00021 0.00000 0.00238 11 13.136 25.000 0.00055 0.00162 0.00021 0.00000 0.00238 13 15.763 30.000 0.00055 0.00162 0.00021 0.00000 0.00238 15 18.391 35.000 0.00055 0.00162 0.00021 0.00000 0.00238 17 21.018 40.000 0.00055 0.00162 0.00021 0.00000 0.00238 19 23.645 45.000 0.00055 0.00162 0.00021 0.00000 0.00238 21 26.272 50.000 0.00055 0.00162 0.00021 0.00000 0.00238 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 0.2889 0.2365 0.5254 0.4501 0.00238 0.01008 3 2.627 5.000 0.2889 0.2365 0.5254 0.4501 0.00238 0.01008 5 5.254 10.000 0.2889 0.2365 0.5254 0.4501 0.00238 0.01008 7 7.882 15.000 0.2889 0.2365 0.5254 0.4501 0.00238 0.01008 9 10.509 20.000 0.2889 0.2365 0.5254 0.4501 0.00238 0.01008 11 13.136 25.000 0.2889 0.2365 0.5254 0.4501 0.00238 0.01008 13 15.763 30.000 0.2889 0.2365 0.5254 0.4501 0.00238 0.01008 15 18.391 35.000 0.2889 0.2365 0.5254 0.4501 0.00238 0.01008 17 21.018 40.000 0.2889 0.2365 0.5254 0.4501 0.00238 0.01008 19 23.645 45.000 0.2889 0.2365 0.5254 0.4501 0.00238 0.01008 21 26.272 50.000 0.2889 0.2365 0.5254 0.4501 0.00238 0.01008 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.4186E-01 8 20.00 5.3441E-01 7 30.00 2.6798E-01 6 40.00 1.1420E-01 5 50.00 4.4957E-02 4 60.00 1.7769E-02 3 70.00 7.5412E-03 2 80.00 3.5887E-03 1 87.50 2.2131E-03 1 92.50 1.6492E-03 2 100.00 1.1600E-03 3 110.00 8.0631E-04 4 120.00 6.2292E-04 5 130.00 5.2574E-04 6 140.00 4.7307E-04 7 150.00 4.4429E-04 8 160.00 4.2886E-04 9 170.00 4.2131E-04 10 180.00 4.1859E-04 Asymptotic AOP values are MUu(inf) = 0.3754 MUd(inf) = 0.8725 MU(inf) = 0.8637 R(inf) = 0.0031 Lu(inf)/Ed(inf) = 0.000707 (1/sr) k(inf) = 0.3346 (1/m) absorp(check) = 0.2890 = 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 1.2355E-01 1.8196E+00 1.9431E+00 4.4872E-02 1.3185E+00 0.3632 0.7246 0.6555 3.4032E-02 1 0.00 0.00 9.8347E-03 1.4239E+00 1.4337E+00 3.9222E-03 1.2776E+00 0.3988 0.8972 0.8883 3.0700E-03 3 2.63 5.00 2.2790E-03 2.8025E-01 2.8253E-01 8.9885E-04 2.4492E-01 0.3944 0.8739 0.8637 3.6699E-03 5 5.25 10.00 6.0002E-04 5.3029E-02 5.3629E-02 2.5238E-04 4.5890E-02 0.4206 0.8654 0.8510 5.4997E-03 7 7.88 15.00 2.2940E-04 1.0000E-02 1.0229E-02 1.0533E-04 8.5791E-03 0.4592 0.8579 0.8284 1.2278E-02 9 10.51 20.00 1.2485E-04 1.9536E-03 2.0784E-03 6.0336E-05 1.6413E-03 0.4833 0.8402 0.7607 3.6760E-02 11 13.14 25.00 8.0279E-05 4.3452E-04 5.1480E-04 3.9468E-05 3.4286E-04 0.4916 0.7891 0.5894 1.1511E-01 13 15.76 30.00 5.4306E-05 1.3144E-04 1.8574E-04 2.6809E-05 9.0847E-05 0.4937 0.6912 0.3448 2.9509E-01 15 18.39 35.00 3.7171E-05 6.1035E-05 9.8207E-05 1.8357E-05 3.6982E-05 0.4938 0.6059 0.1896 4.9638E-01 17 21.02 40.00 2.5461E-05 3.5453E-05 6.0914E-05 1.2570E-05 1.9791E-05 0.4937 0.5582 0.1185 6.3512E-01 19 23.65 45.00 1.7428E-05 2.3110E-05 4.0538E-05 8.5997E-06 1.2527E-05 0.4934 0.5421 0.0969 6.8647E-01 21 26.27 50.00 1.1919E-05 1.5596E-05 2.7515E-05 5.8787E-06 8.3798E-06 0.4932 0.5373 0.0909 7.0153E-01 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 0.26168 0.31277 0.31242 0.28818 0.32496 0.32508 0.30393 5.000 5.010 5.005 0.29122 0.33086 0.33054 0.28414 0.33356 0.33374 0.27256 10.000 10.010 10.005 0.23467 0.33420 0.33308 0.21708 0.33575 0.33640 0.19483 15.000 15.010 15.005 0.15178 0.33194 0.32789 0.13682 0.33426 0.33672 0.12171 20.000 20.010 20.005 0.09972 0.31823 0.30509 0.09367 0.32528 0.33413 0.08849 25.000 25.010 25.005 0.08145 0.27634 0.24592 0.07974 0.29586 0.32401 0.07861 30.000 30.010 30.005 0.07669 0.19740 0.16209 0.07634 0.22870 0.29255 0.07634 35.000 35.010 35.005 0.07590 0.13034 0.10973 0.07587 0.15414 0.23134 0.07610 40.000 40.010 40.005 0.07584 0.09281 0.08572 0.07592 0.10265 0.14918 0.07619 45.000 45.010 45.005 0.07601 0.08061 0.07863 0.07608 0.08370 0.10038 0.07633 50.000 50.010 50.005 0.07611 0.07726 0.07676 0.07619 0.07818 0.08285 0.07641 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 9.23208E-02 5.19943E-04 7.32262E-03 7.84256E-03 3.94337E-04 0.079317 9 1 10.0 0.0 180.0 5.69657E-02 5.34280E-04 2.10829E-03 2.64257E-03 4.05210E-04 0.037010 9 4 10.0 45.0 135.0 6.25899E-02 5.29700E-04 2.45300E-03 2.98270E-03 4.01737E-04 0.039192 9 7 10.0 90.0 90.0 8.45642E-02 5.23203E-04 5.23844E-03 5.76164E-03 3.96809E-04 0.061946 8 1 20.0 0.0 180.0 4.47458E-02 5.42115E-04 1.09573E-03 1.63785E-03 4.11153E-04 0.024488 8 4 20.0 45.0 135.0 4.98141E-02 5.32639E-04 1.29540E-03 1.82804E-03 4.03966E-04 0.026005 8 7 20.0 90.0 90.0 7.32493E-02 5.23223E-04 3.01775E-03 3.54097E-03 3.96824E-04 0.041198 7 1 30.0 0.0 180.0 3.87970E-02 5.51793E-04 9.33930E-04 1.48572E-03 4.18493E-04 0.024072 7 4 30.0 45.0 135.0 4.30160E-02 5.45249E-04 1.04950E-03 1.59474E-03 4.13530E-04 0.024398 7 7 30.0 90.0 90.0 6.27096E-02 5.29969E-04 1.83385E-03 2.36382E-03 4.01941E-04 0.029244 6 1 40.0 0.0 180.0 3.68257E-02 5.57639E-04 1.03842E-03 1.59605E-03 4.22927E-04 0.028198 6 4 40.0 45.0 135.0 4.02669E-02 5.48897E-04 1.12623E-03 1.67513E-03 4.16296E-04 0.027969 6 7 40.0 90.0 90.0 5.65341E-02 5.31253E-04 1.63324E-03 2.16450E-03 4.02915E-04 0.028890 5 1 50.0 0.0 180.0 3.86105E-02 5.65562E-04 1.64035E-03 2.20591E-03 4.28935E-04 0.042485 5 4 50.0 45.0 135.0 4.11447E-02 5.52747E-04 1.70894E-03 2.26169E-03 4.19217E-04 0.041535 5 7 50.0 90.0 90.0 5.46915E-02 5.34612E-04 2.20934E-03 2.74395E-03 4.05462E-04 0.040396 4 1 60.0 0.0 180.0 4.58313E-02 5.58012E-04 3.82126E-03 4.37927E-03 4.23209E-04 0.083377 4 4 60.0 45.0 135.0 4.68685E-02 5.43801E-04 3.77342E-03 4.31722E-03 4.12432E-04 0.080511 4 7 60.0 90.0 90.0 5.78765E-02 5.31830E-04 4.40650E-03 4.93833E-03 4.03353E-04 0.076136 3 1 70.0 0.0 180.0 6.35912E-02 5.18464E-04 1.05553E-02 1.10738E-02 3.93215E-04 0.165987 3 4 70.0 45.0 135.0 6.18014E-02 5.10236E-04 1.01562E-02 1.06664E-02 3.86975E-04 0.164336 3 7 70.0 90.0 90.0 6.90925E-02 4.99445E-04 1.10444E-02 1.15438E-02 3.78791E-04 0.159849 2 1 80.0 0.0 180.0 1.08042E-01 4.44861E-04 2.62374E-02 2.66823E-02 3.37393E-04 0.242843 2 4 80.0 45.0 135.0 1.00045E-01 4.36446E-04 2.53770E-02 2.58134E-02 3.31011E-04 0.253655 2 7 80.0 90.0 90.0 9.93957E-02 4.28109E-04 2.65766E-02 2.70047E-02 3.24688E-04 0.267382 1 1 87.5 0.0 180.0 1.74685E-01 3.59324E-04 4.62733E-02 4.66326E-02 2.72519E-04 0.264896 1 4 87.5 45.0 135.0 1.57282E-01 3.35590E-04 4.59876E-02 4.63232E-02 2.54520E-04 0.292389 1 7 87.5 90.0 90.0 1.43092E-01 3.65411E-04 4.70653E-02 4.74307E-02 2.77136E-04 0.328916 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 7.843E-03 9.232E-02 1.107E-01 9.526E-02 1.431E-01 5.948E-03 5.722E+00 5.199E-04 3.943E-04 1 0.00 0.00 9.650E-04 1.717E-01 2.214E-03 2.639E-03 4.407E-03 7.553E-04 4.065E+00 3 2.63 5.00 2.231E-04 1.003E-01 5.064E-04 6.974E-04 1.391E-03 9.108E-04 4.029E+00 5 5.25 10.00 6.855E-05 3.125E-02 1.261E-04 1.657E-04 2.958E-04 1.494E-03 3.682E+00 7 7.88 15.00 3.158E-05 7.816E-03 4.391E-05 5.143E-05 7.356E-05 3.681E-03 3.336E+00 9 10.51 20.00 1.897E-05 1.765E-03 2.217E-05 2.354E-05 2.712E-05 1.156E-02 3.180E+00 11 13.14 25.00 1.258E-05 3.844E-04 1.381E-05 1.405E-05 1.461E-05 3.668E-02 3.139E+00 13 15.76 30.00 8.557E-06 8.758E-05 9.258E-06 9.299E-06 9.386E-06 9.419E-02 3.133E+00 15 18.39 35.00 5.852E-06 2.576E-05 6.331E-06 6.337E-06 6.351E-06 1.582E-01 3.137E+00 17 21.02 40.00 4.001E-06 9.788E-06 4.338E-06 4.339E-06 4.341E-06 2.022E-01 3.142E+00 19 23.65 45.00 2.733E-06 5.163E-06 2.972E-06 2.972E-06 2.972E-06 2.182E-01 3.146E+00 21 26.27 50.00 1.866E-06 3.233E-06 2.035E-06 2.035E-06 2.035E-06 2.227E-01 3.150E+00 Waveband 23 of 30 completed in 9.5 sec. * * * * * Output for wavelength band 24 (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 86.9 m at 635.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 630.0 nm to 640.0 nm: Ed(diffuse) = 3.354E-01 Ed(direct) = 9.668E-01 Ed(total) = 1.302E+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 0.0053 0.0000 0.0004 0.3070 3 2.711 5.000 0.3012 0.0053 0.0000 0.0004 0.3070 5 5.423 10.000 0.3012 0.0053 0.0000 0.0004 0.3070 7 8.134 15.000 0.3012 0.0053 0.0000 0.0004 0.3070 9 10.845 20.000 0.3012 0.0053 0.0000 0.0004 0.3070 11 13.557 25.000 0.3012 0.0053 0.0000 0.0004 0.3070 13 16.268 30.000 0.3012 0.0053 0.0000 0.0004 0.3070 15 18.980 35.000 0.3012 0.0053 0.0000 0.0004 0.3070 17 21.691 40.000 0.3012 0.0053 0.0000 0.0004 0.3070 19 24.402 45.000 0.3012 0.0053 0.0000 0.0004 0.3070 21 27.114 50.000 0.3012 0.0053 0.0000 0.0004 0.3070 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 0.1152 0.1191 0.0000 0.2353 3 2.711 5.000 0.0010 0.1152 0.1191 0.0000 0.2353 5 5.423 10.000 0.0010 0.1152 0.1191 0.0000 0.2353 7 8.134 15.000 0.0010 0.1152 0.1191 0.0000 0.2353 9 10.845 20.000 0.0010 0.1152 0.1191 0.0000 0.2353 11 13.557 25.000 0.0010 0.1152 0.1191 0.0000 0.2353 13 16.268 30.000 0.0010 0.1152 0.1191 0.0000 0.2353 15 18.980 35.000 0.0010 0.1152 0.1191 0.0000 0.2353 17 21.691 40.000 0.0010 0.1152 0.1191 0.0000 0.2353 19 24.402 45.000 0.0010 0.1152 0.1191 0.0000 0.2353 21 27.114 50.000 0.0010 0.1152 0.1191 0.0000 0.2353 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 0.00162 0.00021 0.00000 0.00234 3 2.711 5.000 0.00051 0.00162 0.00021 0.00000 0.00234 5 5.423 10.000 0.00051 0.00162 0.00021 0.00000 0.00234 7 8.134 15.000 0.00051 0.00162 0.00021 0.00000 0.00234 9 10.845 20.000 0.00051 0.00162 0.00021 0.00000 0.00234 11 13.557 25.000 0.00051 0.00162 0.00021 0.00000 0.00234 13 16.268 30.000 0.00051 0.00162 0.00021 0.00000 0.00234 15 18.980 35.000 0.00051 0.00162 0.00021 0.00000 0.00234 17 21.691 40.000 0.00051 0.00162 0.00021 0.00000 0.00234 19 24.402 45.000 0.00051 0.00162 0.00021 0.00000 0.00234 21 27.114 50.000 0.00051 0.00162 0.00021 0.00000 0.00234 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 0.3070 0.2353 0.5423 0.4339 0.00234 0.00994 3 2.711 5.000 0.3070 0.2353 0.5423 0.4339 0.00234 0.00994 5 5.423 10.000 0.3070 0.2353 0.5423 0.4339 0.00234 0.00994 7 8.134 15.000 0.3070 0.2353 0.5423 0.4339 0.00234 0.00994 9 10.845 20.000 0.3070 0.2353 0.5423 0.4339 0.00234 0.00994 11 13.557 25.000 0.3070 0.2353 0.5423 0.4339 0.00234 0.00994 13 16.268 30.000 0.3070 0.2353 0.5423 0.4339 0.00234 0.00994 15 18.980 35.000 0.3070 0.2353 0.5423 0.4339 0.00234 0.00994 17 21.691 40.000 0.3070 0.2353 0.5423 0.4339 0.00234 0.00994 19 24.402 45.000 0.3070 0.2353 0.5423 0.4339 0.00234 0.00994 21 27.114 50.000 0.3070 0.2353 0.5423 0.4339 0.00234 0.00994 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.3578E-01 8 20.00 5.2093E-01 7 30.00 2.5477E-01 6 40.00 1.0574E-01 5 50.00 4.0681E-02 4 60.00 1.5824E-02 3 70.00 6.6600E-03 2 80.00 3.1600E-03 1 87.50 1.9481E-03 1 92.50 1.4530E-03 2 100.00 1.0227E-03 3 110.00 7.1146E-04 4 120.00 5.5038E-04 5 130.00 4.6513E-04 6 140.00 4.1897E-04 7 150.00 3.9377E-04 8 160.00 3.8028E-04 9 170.00 3.7368E-04 10 180.00 3.7131E-04 Asymptotic AOP values are MUu(inf) = 0.3760 MUd(inf) = 0.8767 MU(inf) = 0.8686 R(inf) = 0.0028 Lu(inf)/Ed(inf) = 0.000649 (1/sr) k(inf) = 0.3534 (1/m) absorp(check) = 0.3070 = 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 1.2118E-01 1.7950E+00 1.9162E+00 4.4090E-02 1.3022E+00 0.3638 0.7255 0.6566 3.3857E-02 1 0.00 0.00 8.9677E-03 1.4056E+00 1.4145E+00 3.5650E-03 1.2617E+00 0.3975 0.8977 0.8894 2.8255E-03 3 2.71 5.00 1.8926E-03 2.5007E-01 2.5196E-01 7.4779E-04 2.1897E-01 0.3951 0.8757 0.8661 3.4150E-03 5 5.42 10.00 4.7542E-04 4.2844E-02 4.3319E-02 2.0245E-04 3.7176E-02 0.4258 0.8677 0.8535 5.4458E-03 7 8.13 15.00 1.8590E-04 7.3441E-03 7.5300E-03 8.6733E-05 6.3136E-03 0.4666 0.8597 0.8269 1.3737E-02 9 10.85 20.00 1.0496E-04 1.3244E-03 1.4294E-03 5.1219E-05 1.1083E-03 0.4880 0.8368 0.7395 4.6215E-02 11 13.56 25.00 6.8605E-05 2.8702E-04 3.5563E-04 3.3901E-05 2.2078E-04 0.4941 0.7692 0.5255 1.5355E-01 13 16.27 30.00 4.6542E-05 9.3021E-05 1.3956E-04 2.3052E-05 6.1113E-05 0.4953 0.6570 0.2727 3.7721E-01 15 18.98 35.00 3.1770E-05 4.6369E-05 7.8139E-05 1.5734E-05 2.6731E-05 0.4952 0.5765 0.1407 5.8859E-01 17 21.69 40.00 2.1672E-05 2.8786E-05 5.0459E-05 1.0727E-05 1.5728E-05 0.4950 0.5464 0.0991 6.8200E-01 19 24.40 45.00 1.4760E-05 1.9142E-05 3.3902E-05 7.3014E-06 1.0296E-05 0.4947 0.5379 0.0883 7.0914E-01 21 27.11 50.00 1.0040E-05 1.2948E-05 2.2988E-05 4.9638E-06 6.9353E-06 0.4944 0.5356 0.0858 7.1573E-01 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 0.28152 0.33295 0.33262 0.30756 0.34484 0.34494 0.32266 5.000 5.010 5.005 0.30685 0.35091 0.35058 0.29822 0.35339 0.35358 0.28432 10.000 10.010 10.005 0.23655 0.35381 0.35253 0.21684 0.35530 0.35606 0.19250 15.000 15.010 15.005 0.14357 0.35016 0.34506 0.12935 0.35292 0.35604 0.11543 20.000 20.010 20.005 0.09439 0.33072 0.31334 0.08960 0.34017 0.35232 0.08566 25.000 25.010 25.005 0.07990 0.27214 0.23503 0.07877 0.29775 0.33752 0.07816 30.000 30.010 30.005 0.07683 0.17681 0.14346 0.07668 0.20998 0.29081 0.07685 35.000 35.010 35.005 0.07656 0.10979 0.09628 0.07662 0.12742 0.20016 0.07692 40.000 40.010 40.005 0.07680 0.08545 0.08174 0.07689 0.09107 0.12148 0.07718 45.000 45.010 45.005 0.07706 0.07900 0.07816 0.07715 0.08054 0.08881 0.07741 50.000 50.010 50.005 0.07723 0.07757 0.07742 0.07732 0.07801 0.07973 0.07755 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 9.05048E-02 4.71389E-04 7.22775E-03 7.69914E-03 3.61982E-04 0.079860 9 1 10.0 0.0 180.0 5.58452E-02 4.84317E-04 2.07342E-03 2.55773E-03 3.71909E-04 0.037128 9 4 10.0 45.0 135.0 6.13587E-02 4.80187E-04 2.41324E-03 2.89343E-03 3.68738E-04 0.039330 9 7 10.0 90.0 90.0 8.29008E-02 4.74354E-04 5.16582E-03 5.64017E-03 3.64259E-04 0.062313 8 1 20.0 0.0 180.0 4.38656E-02 4.91400E-04 1.07451E-03 1.56591E-03 3.77348E-04 0.024496 8 4 20.0 45.0 135.0 4.88342E-02 4.82837E-04 1.27079E-03 1.75362E-03 3.70774E-04 0.026022 8 7 20.0 90.0 90.0 7.18084E-02 4.74396E-04 2.96995E-03 3.44435E-03 3.64291E-04 0.041359 7 1 30.0 0.0 180.0 3.80338E-02 5.00162E-04 9.15559E-04 1.41572E-03 3.84077E-04 0.024072 7 4 30.0 45.0 135.0 4.21701E-02 4.94265E-04 1.02889E-03 1.52316E-03 3.79549E-04 0.024399 7 7 30.0 90.0 90.0 6.14745E-02 4.80546E-04 1.80005E-03 2.28060E-03 3.69014E-04 0.029281 6 1 40.0 0.0 180.0 3.61013E-02 5.05451E-04 1.01799E-03 1.52344E-03 3.88138E-04 0.028198 6 4 40.0 45.0 135.0 3.94748E-02 4.97589E-04 1.10408E-03 1.60167E-03 3.82101E-04 0.027969 6 7 40.0 90.0 90.0 5.54220E-02 4.81775E-04 1.60126E-03 2.08304E-03 3.69957E-04 0.028892 5 1 50.0 0.0 180.0 3.78510E-02 5.12649E-04 1.60808E-03 2.12073E-03 3.93666E-04 0.042485 5 4 50.0 45.0 135.0 4.03354E-02 5.01114E-04 1.67533E-03 2.17644E-03 3.84808E-04 0.041535 5 7 50.0 90.0 90.0 5.36157E-02 4.84902E-04 2.16588E-03 2.65078E-03 3.72359E-04 0.040396 4 1 60.0 0.0 180.0 4.49297E-02 5.05835E-04 3.74609E-03 4.25192E-03 3.88434E-04 0.083377 4 4 60.0 45.0 135.0 4.59466E-02 4.93049E-04 3.69919E-03 4.19224E-03 3.78615E-04 0.080511 4 7 60.0 90.0 90.0 5.67380E-02 4.82469E-04 4.31982E-03 4.80229E-03 3.70491E-04 0.076136 3 1 70.0 0.0 180.0 6.23404E-02 4.70039E-04 1.03477E-02 1.08177E-02 3.60945E-04 0.165987 3 4 70.0 45.0 135.0 6.05857E-02 4.62687E-04 9.95640E-03 1.04191E-02 3.55300E-04 0.164336 3 7 70.0 90.0 90.0 6.77334E-02 4.53207E-04 1.08271E-02 1.12803E-02 3.48020E-04 0.159849 2 1 80.0 0.0 180.0 1.05917E-01 4.03366E-04 2.57213E-02 2.61246E-02 3.09747E-04 0.242843 2 4 80.0 45.0 135.0 9.80772E-02 3.95843E-04 2.48778E-02 2.52737E-02 3.03970E-04 0.253655 2 7 80.0 90.0 90.0 9.74406E-02 3.88578E-04 2.60538E-02 2.64424E-02 2.98391E-04 0.267382 1 1 87.5 0.0 180.0 1.71249E-01 3.25867E-04 4.53631E-02 4.56889E-02 2.50235E-04 0.264896 1 4 87.5 45.0 135.0 1.54188E-01 3.04438E-04 4.50830E-02 4.53874E-02 2.33779E-04 0.292389 1 7 87.5 90.0 90.0 1.40277E-01 3.31775E-04 4.61395E-02 4.64712E-02 2.54772E-04 0.328916 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 7.699E-03 9.050E-02 1.085E-01 9.337E-02 1.403E-01 5.912E-03 5.727E+00 4.714E-04 3.620E-04 1 0.00 0.00 8.749E-04 1.684E-01 2.031E-03 2.431E-03 4.084E-03 6.934E-04 4.075E+00 3 2.71 5.00 1.864E-04 8.992E-02 4.190E-04 5.780E-04 1.155E-03 8.515E-04 4.011E+00 5 5.42 10.00 5.598E-05 2.558E-02 9.836E-05 1.280E-04 2.251E-04 1.506E-03 3.617E+00 7 8.13 15.00 2.651E-05 5.840E-03 3.466E-05 3.974E-05 5.460E-05 4.199E-03 3.272E+00 9 10.85 20.00 1.630E-05 1.206E-03 1.826E-05 1.909E-05 2.126E-05 1.471E-02 3.142E+00 11 13.56 25.00 1.089E-05 2.432E-04 1.165E-05 1.178E-05 1.209E-05 4.931E-02 3.114E+00 13 16.27 30.00 7.403E-06 5.347E-05 7.862E-06 7.883E-06 7.926E-06 1.211E-01 3.114E+00 15 18.98 35.00 5.045E-06 1.563E-05 5.367E-06 5.370E-06 5.376E-06 1.887E-01 3.119E+00 17 21.69 40.00 3.433E-06 6.903E-06 3.666E-06 3.666E-06 3.667E-06 2.183E-01 3.124E+00 19 24.40 45.00 2.333E-06 4.036E-06 2.500E-06 2.500E-06 2.500E-06 2.266E-01 3.129E+00 21 27.11 50.00 1.584E-06 2.628E-06 1.702E-06 1.702E-06 1.702E-06 2.284E-01 3.133E+00 Waveband 24 of 30 completed in 9.7 sec. * * * * * Output for wavelength band 25 (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 85.4 m at 645.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 640.0 nm to 650.0 nm: Ed(diffuse) = 3.226E-01 Ed(direct) = 9.388E-01 Ed(total) = 1.261E+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 0.0056 0.0000 0.0004 0.3310 3 2.826 5.000 0.3250 0.0056 0.0000 0.0004 0.3310 5 5.652 10.000 0.3250 0.0056 0.0000 0.0004 0.3310 7 8.477 15.000 0.3250 0.0056 0.0000 0.0004 0.3310 9 11.303 20.000 0.3250 0.0056 0.0000 0.0004 0.3310 11 14.129 25.000 0.3250 0.0056 0.0000 0.0004 0.3310 13 16.955 30.000 0.3250 0.0056 0.0000 0.0004 0.3310 15 19.781 35.000 0.3250 0.0056 0.0000 0.0004 0.3310 17 22.606 40.000 0.3250 0.0056 0.0000 0.0004 0.3310 19 25.432 45.000 0.3250 0.0056 0.0000 0.0004 0.3310 21 28.258 50.000 0.3250 0.0056 0.0000 0.0004 0.3310 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 0.1147 0.1185 0.0000 0.2342 3 2.826 5.000 0.0010 0.1147 0.1185 0.0000 0.2342 5 5.652 10.000 0.0010 0.1147 0.1185 0.0000 0.2342 7 8.477 15.000 0.0010 0.1147 0.1185 0.0000 0.2342 9 11.303 20.000 0.0010 0.1147 0.1185 0.0000 0.2342 11 14.129 25.000 0.0010 0.1147 0.1185 0.0000 0.2342 13 16.955 30.000 0.0010 0.1147 0.1185 0.0000 0.2342 15 19.781 35.000 0.0010 0.1147 0.1185 0.0000 0.2342 17 22.606 40.000 0.0010 0.1147 0.1185 0.0000 0.2342 19 25.432 45.000 0.0010 0.1147 0.1185 0.0000 0.2342 21 28.258 50.000 0.0010 0.1147 0.1185 0.0000 0.2342 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 0.00161 0.00021 0.00000 0.00230 3 2.826 5.000 0.00048 0.00161 0.00021 0.00000 0.00230 5 5.652 10.000 0.00048 0.00161 0.00021 0.00000 0.00230 7 8.477 15.000 0.00048 0.00161 0.00021 0.00000 0.00230 9 11.303 20.000 0.00048 0.00161 0.00021 0.00000 0.00230 11 14.129 25.000 0.00048 0.00161 0.00021 0.00000 0.00230 13 16.955 30.000 0.00048 0.00161 0.00021 0.00000 0.00230 15 19.781 35.000 0.00048 0.00161 0.00021 0.00000 0.00230 17 22.606 40.000 0.00048 0.00161 0.00021 0.00000 0.00230 19 25.432 45.000 0.00048 0.00161 0.00021 0.00000 0.00230 21 28.258 50.000 0.00048 0.00161 0.00021 0.00000 0.00230 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 0.3310 0.2342 0.5652 0.4143 0.00230 0.00981 3 2.826 5.000 0.3310 0.2342 0.5652 0.4143 0.00230 0.00981 5 5.652 10.000 0.3310 0.2342 0.5652 0.4143 0.00230 0.00981 7 8.477 15.000 0.3310 0.2342 0.5652 0.4143 0.00230 0.00981 9 11.303 20.000 0.3310 0.2342 0.5652 0.4143 0.00230 0.00981 11 14.129 25.000 0.3310 0.2342 0.5652 0.4143 0.00230 0.00981 13 16.955 30.000 0.3310 0.2342 0.5652 0.4143 0.00230 0.00981 15 19.781 35.000 0.3310 0.2342 0.5652 0.4143 0.00230 0.00981 17 22.606 40.000 0.3310 0.2342 0.5652 0.4143 0.00230 0.00981 19 25.432 45.000 0.3310 0.2342 0.5652 0.4143 0.00230 0.00981 21 28.258 50.000 0.3310 0.2342 0.5652 0.4143 0.00230 0.00981 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.2799E-01 8 20.00 5.0409E-01 7 30.00 2.3883E-01 6 40.00 9.5900E-02 5 50.00 3.5880E-02 4 60.00 1.3699E-02 3 70.00 5.7147E-03 2 80.00 2.7050E-03 1 87.50 1.6681E-03 1 92.50 1.2460E-03 2 100.00 8.7815E-04 3 110.00 6.1197E-04 4 120.00 4.7447E-04 5 130.00 4.0181E-04 6 140.00 3.6252E-04 7 150.00 3.4109E-04 8 160.00 3.2964E-04 9 170.00 3.2405E-04 10 180.00 3.2204E-04 Asymptotic AOP values are MUu(inf) = 0.3770 MUd(inf) = 0.8817 MU(inf) = 0.8743 R(inf) = 0.0026 Lu(inf)/Ed(inf) = 0.000588 (1/sr) k(inf) = 0.3786 (1/m) absorp(check) = 0.3310 = 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 1.1658E-01 1.7368E+00 1.8534E+00 4.2487E-02 1.2614E+00 0.3644 0.7263 0.6577 3.3682E-02 1 0.00 0.00 7.9141E-03 1.3608E+00 1.3687E+00 3.1363E-03 1.2221E+00 0.3963 0.8981 0.8906 2.5664E-03 3 2.83 5.00 1.4827E-03 2.1158E-01 2.1306E-01 5.8880E-04 1.8570E-01 0.3971 0.8777 0.8688 3.1707E-03 5 5.65 10.00 3.5792E-04 3.1762E-02 3.2120E-02 1.5555E-04 2.7645E-02 0.4346 0.8704 0.8558 5.6265E-03 7 8.48 15.00 1.4799E-04 4.8051E-03 4.9530E-03 7.0463E-05 4.1360E-03 0.4761 0.8608 0.8208 1.7037E-02 9 11.30 20.00 8.8011E-05 7.8967E-04 8.7768E-04 4.3387E-05 6.5307E-04 0.4930 0.8270 0.6947 6.6435E-02 11 14.13 25.00 5.8632E-05 1.7364E-04 2.3228E-04 2.9121E-05 1.2696E-04 0.4967 0.7311 0.4212 2.2938E-01 13 16.95 30.00 3.9932E-05 6.5040E-05 1.0497E-04 1.9847E-05 3.9817E-05 0.4970 0.6122 0.1902 4.9846E-01 15 19.78 35.00 2.7234E-05 3.6551E-05 6.3785E-05 1.3529E-05 2.0276E-05 0.4967 0.5547 0.1058 6.6721E-01 17 22.61 40.00 1.8537E-05 2.3754E-05 4.2291E-05 9.2018E-06 1.2796E-05 0.4964 0.5387 0.0850 7.1910E-01 19 25.43 45.00 1.2593E-05 1.5982E-05 2.8575E-05 6.2473E-06 8.5489E-06 0.4961 0.5349 0.0805 7.3077E-01 21 28.26 50.00 8.5428E-06 1.0825E-05 1.9367E-05 4.2360E-06 5.7797E-06 0.4958 0.5339 0.0797 7.3291E-01 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 0.30816 0.35991 0.35961 0.33340 0.37141 0.37151 0.34758 5.000 5.010 5.005 0.32533 0.37765 0.37728 0.31417 0.37987 0.38008 0.29668 10.000 10.010 10.005 0.23267 0.37983 0.37819 0.21055 0.38131 0.38228 0.18434 15.000 15.010 15.005 0.12995 0.37343 0.36614 0.11766 0.37718 0.38168 0.10617 20.000 20.010 20.005 0.08785 0.34185 0.31635 0.08464 0.35629 0.37565 0.08220 25.000 25.010 25.005 0.07814 0.25301 0.20884 0.07758 0.28775 0.35039 0.07747 30.000 30.010 30.005 0.07672 0.14520 0.11914 0.07673 0.17532 0.27340 0.07704 35.000 35.010 35.005 0.07691 0.09438 0.08692 0.07703 0.10512 0.16147 0.07736 40.000 40.010 40.005 0.07730 0.08088 0.07931 0.07740 0.08360 0.09948 0.07770 45.000 45.010 45.005 0.07759 0.07812 0.07789 0.07768 0.07879 0.08180 0.07794 50.000 50.010 50.005 0.07777 0.07772 0.07774 0.07786 0.07793 0.07813 0.07808 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 8.70599E-02 4.13902E-04 6.99727E-03 7.41117E-03 3.28119E-04 0.080373 9 1 10.0 0.0 180.0 5.37195E-02 4.25195E-04 2.00049E-03 2.42568E-03 3.37071E-04 0.037239 9 4 10.0 45.0 135.0 5.90232E-02 4.21585E-04 2.32910E-03 2.75068E-03 3.34209E-04 0.039461 9 7 10.0 90.0 90.0 7.97453E-02 4.16509E-04 4.99681E-03 5.41332E-03 3.30185E-04 0.062660 8 1 20.0 0.0 180.0 4.21959E-02 4.31390E-04 1.03392E-03 1.46531E-03 3.41982E-04 0.024503 8 4 20.0 45.0 135.0 4.69754E-02 4.23893E-04 1.22320E-03 1.64709E-03 3.36039E-04 0.026039 8 7 20.0 90.0 90.0 6.90751E-02 4.16552E-04 2.86741E-03 3.28396E-03 3.30219E-04 0.041511 7 1 30.0 0.0 180.0 3.65861E-02 4.39064E-04 8.80710E-04 1.31977E-03 3.48065E-04 0.024072 7 4 30.0 45.0 135.0 4.05652E-02 4.33912E-04 9.89768E-04 1.42368E-03 3.43981E-04 0.024399 7 7 30.0 90.0 90.0 5.91332E-02 4.21963E-04 1.73360E-03 2.15557E-03 3.34509E-04 0.029317 6 1 40.0 0.0 180.0 3.47272E-02 4.43678E-04 9.79240E-04 1.42292E-03 3.51723E-04 0.028198 6 4 40.0 45.0 135.0 3.79723E-02 4.36822E-04 1.06205E-03 1.49888E-03 3.46288E-04 0.027969 6 7 40.0 90.0 90.0 5.33125E-02 4.23067E-04 1.54045E-03 1.96352E-03 3.35384E-04 0.028895 5 1 50.0 0.0 180.0 3.64103E-02 4.49992E-04 1.54687E-03 1.99687E-03 3.56729E-04 0.042485 5 4 50.0 45.0 135.0 3.88001E-02 4.39925E-04 1.61156E-03 2.05148E-03 3.48748E-04 0.041535 5 7 50.0 90.0 90.0 5.15749E-02 4.25850E-04 2.08344E-03 2.50929E-03 3.37590E-04 0.040396 4 1 60.0 0.0 180.0 4.32196E-02 4.44016E-04 3.60350E-03 4.04752E-03 3.51991E-04 0.083377 4 4 60.0 45.0 135.0 4.41977E-02 4.32860E-04 3.55839E-03 3.99125E-03 3.43148E-04 0.080511 4 7 60.0 90.0 90.0 5.45784E-02 4.23759E-04 4.15539E-03 4.57915E-03 3.35932E-04 0.076136 3 1 70.0 0.0 180.0 5.99675E-02 4.12620E-04 9.95383E-03 1.03664E-02 3.27102E-04 0.165987 3 4 70.0 45.0 135.0 5.82796E-02 4.06243E-04 9.57743E-03 9.98367E-03 3.22047E-04 0.164336 3 7 70.0 90.0 90.0 6.51552E-02 3.98120E-04 1.04150E-02 1.08131E-02 3.15607E-04 0.159849 2 1 80.0 0.0 180.0 1.01886E-01 3.54123E-04 2.47423E-02 2.50964E-02 2.80729E-04 0.242843 2 4 80.0 45.0 135.0 9.43441E-02 3.47594E-04 2.39309E-02 2.42785E-02 2.75553E-04 0.253655 2 7 80.0 90.0 90.0 9.37317E-02 3.41407E-04 2.50621E-02 2.54036E-02 2.70648E-04 0.267382 1 1 87.5 0.0 180.0 1.64730E-01 2.86126E-04 4.36364E-02 4.39225E-02 2.26825E-04 0.264896 1 4 87.5 45.0 135.0 1.48319E-01 2.67375E-04 4.33670E-02 4.36344E-02 2.11960E-04 0.292389 1 7 87.5 90.0 90.0 1.34938E-01 2.91565E-04 4.43833E-02 4.46748E-02 2.31137E-04 0.328916 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 7.411E-03 8.706E-02 1.043E-01 8.981E-02 1.349E-01 5.875E-03 5.733E+00 4.139E-04 3.281E-04 1 0.00 0.00 7.682E-04 1.619E-01 1.808E-03 2.171E-03 3.669E-03 6.286E-04 4.083E+00 3 2.83 5.00 1.482E-04 7.669E-02 3.260E-04 4.494E-04 8.973E-04 7.982E-04 3.972E+00 5 5.65 10.00 4.420E-05 1.930E-02 7.217E-05 9.214E-05 1.574E-04 1.599E-03 3.519E+00 7 8.48 15.00 2.204E-05 3.900E-03 2.665E-05 2.963E-05 3.831E-05 5.329E-03 3.197E+00 9 11.30 20.00 1.398E-05 7.170E-04 1.497E-05 1.539E-05 1.650E-05 2.141E-02 3.103E+00 11 14.13 25.00 9.426E-06 1.321E-04 9.823E-06 9.882E-06 1.002E-05 7.424E-02 3.089E+00 13 16.95 30.00 6.416E-06 2.910E-05 6.679E-06 6.687E-06 6.703E-06 1.611E-01 3.093E+00 15 19.78 35.00 4.364E-06 9.878E-06 4.561E-06 4.562E-06 4.564E-06 2.152E-01 3.100E+00 17 22.61 40.00 2.963E-06 5.142E-06 3.109E-06 3.109E-06 3.109E-06 2.316E-01 3.105E+00 19 25.43 45.00 2.009E-06 3.246E-06 2.115E-06 2.115E-06 2.115E-06 2.350E-01 3.110E+00 21 28.26 50.00 1.360E-06 2.163E-06 1.436E-06 1.436E-06 1.436E-06 2.353E-01 3.114E+00 Waveband 25 of 30 completed in 10.0 sec. * * * * * Output for wavelength band 26 (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 82.8 m at 655.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 650.0 nm to 660.0 nm: Ed(diffuse) = 3.062E-01 Ed(direct) = 8.991E-01 Ed(total) = 1.205E+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 0.0064 0.0000 0.0003 0.3778 3 3.054 5.000 0.3710 0.0064 0.0000 0.0003 0.3778 5 6.108 10.000 0.3710 0.0064 0.0000 0.0003 0.3778 7 9.162 15.000 0.3710 0.0064 0.0000 0.0003 0.3778 9 12.215 20.000 0.3710 0.0064 0.0000 0.0003 0.3778 11 15.269 25.000 0.3710 0.0064 0.0000 0.0003 0.3778 13 18.323 30.000 0.3710 0.0064 0.0000 0.0003 0.3778 15 21.377 35.000 0.3710 0.0064 0.0000 0.0003 0.3778 17 24.431 40.000 0.3710 0.0064 0.0000 0.0003 0.3778 19 27.485 45.000 0.3710 0.0064 0.0000 0.0003 0.3778 21 30.539 50.000 0.3710 0.0064 0.0000 0.0003 0.3778 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 0.1142 0.1179 0.0000 0.2330 3 3.054 5.000 0.0009 0.1142 0.1179 0.0000 0.2330 5 6.108 10.000 0.0009 0.1142 0.1179 0.0000 0.2330 7 9.162 15.000 0.0009 0.1142 0.1179 0.0000 0.2330 9 12.215 20.000 0.0009 0.1142 0.1179 0.0000 0.2330 11 15.269 25.000 0.0009 0.1142 0.1179 0.0000 0.2330 13 18.323 30.000 0.0009 0.1142 0.1179 0.0000 0.2330 15 21.377 35.000 0.0009 0.1142 0.1179 0.0000 0.2330 17 24.431 40.000 0.0009 0.1142 0.1179 0.0000 0.2330 19 27.485 45.000 0.0009 0.1142 0.1179 0.0000 0.2330 21 30.539 50.000 0.0009 0.1142 0.1179 0.0000 0.2330 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 0.00160 0.00021 0.00000 0.00226 3 3.054 5.000 0.00045 0.00160 0.00021 0.00000 0.00226 5 6.108 10.000 0.00045 0.00160 0.00021 0.00000 0.00226 7 9.162 15.000 0.00045 0.00160 0.00021 0.00000 0.00226 9 12.215 20.000 0.00045 0.00160 0.00021 0.00000 0.00226 11 15.269 25.000 0.00045 0.00160 0.00021 0.00000 0.00226 13 18.323 30.000 0.00045 0.00160 0.00021 0.00000 0.00226 15 21.377 35.000 0.00045 0.00160 0.00021 0.00000 0.00226 17 24.431 40.000 0.00045 0.00160 0.00021 0.00000 0.00226 19 27.485 45.000 0.00045 0.00160 0.00021 0.00000 0.00226 21 30.539 50.000 0.00045 0.00160 0.00021 0.00000 0.00226 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 0.3778 0.2330 0.6108 0.3815 0.00226 0.00969 3 3.054 5.000 0.3778 0.2330 0.6108 0.3815 0.00226 0.00969 5 6.108 10.000 0.3778 0.2330 0.6108 0.3815 0.00226 0.00969 7 9.162 15.000 0.3778 0.2330 0.6108 0.3815 0.00226 0.00969 9 12.215 20.000 0.3778 0.2330 0.6108 0.3815 0.00226 0.00969 11 15.269 25.000 0.3778 0.2330 0.6108 0.3815 0.00226 0.00969 13 18.323 30.000 0.3778 0.2330 0.6108 0.3815 0.00226 0.00969 15 21.377 35.000 0.3778 0.2330 0.6108 0.3815 0.00226 0.00969 17 24.431 40.000 0.3778 0.2330 0.6108 0.3815 0.00226 0.00969 19 27.485 45.000 0.3778 0.2330 0.6108 0.3815 0.00226 0.00969 21 30.539 50.000 0.3778 0.2330 0.6108 0.3815 0.00226 0.00969 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.1383E-01 8 20.00 4.7465E-01 7 30.00 2.1245E-01 6 40.00 8.0533E-02 5 50.00 2.8752E-02 4 60.00 1.0664E-02 3 70.00 4.3975E-03 2 80.00 2.0792E-03 1 87.50 1.2851E-03 1 92.50 9.6321E-04 2 100.00 6.8123E-04 3 110.00 4.7692E-04 4 120.00 3.7170E-04 5 130.00 3.1624E-04 6 140.00 2.8632E-04 7 150.00 2.7005E-04 8 160.00 2.6140E-04 9 170.00 2.5720E-04 10 180.00 2.5568E-04 Asymptotic AOP values are MUu(inf) = 0.3793 MUd(inf) = 0.8898 MU(inf) = 0.8834 R(inf) = 0.0022 Lu(inf)/Ed(inf) = 0.000503 (1/sr) k(inf) = 0.4276 (1/m) absorp(check) = 0.3778 = 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 1.1058E-01 1.6578E+00 1.7684E+00 4.0349E-02 1.2053E+00 0.3649 0.7271 0.6588 3.3476E-02 1 0.00 0.00 6.5510E-03 1.2993E+00 1.3059E+00 2.5908E-03 1.1676E+00 0.3955 0.8986 0.8921 2.2189E-03 3 3.05 5.00 1.0005E-03 1.5553E-01 1.5653E-01 4.0473E-04 1.3700E-01 0.4045 0.8809 0.8727 2.9541E-03 5 6.11 10.00 2.4500E-04 1.8095E-02 1.8340E-02 1.1137E-04 1.5815E-02 0.4546 0.8740 0.8562 7.0422E-03 7 9.16 15.00 1.1850E-04 2.1783E-03 2.2968E-03 5.7968E-05 1.8655E-03 0.4892 0.8564 0.7870 3.1073E-02 9 12.22 20.00 7.6197E-05 3.2522E-04 4.0141E-04 3.7889E-05 2.5397E-04 0.4973 0.7809 0.5383 1.4919E-01 11 15.27 25.00 5.1723E-05 8.9879E-05 1.4160E-04 2.5762E-05 5.7079E-05 0.4981 0.6351 0.2212 4.5134E-01 13 18.32 30.00 3.5266E-05 4.6305E-05 8.1571E-05 1.7553E-05 2.5655E-05 0.4977 0.5540 0.0993 6.8422E-01 15 21.38 35.00 2.3986E-05 2.9819E-05 5.3805E-05 1.1928E-05 1.5942E-05 0.4973 0.5346 0.0746 7.4822E-01 17 24.43 40.00 1.6273E-05 2.0056E-05 3.6329E-05 8.0868E-06 1.0649E-05 0.4969 0.5310 0.0705 7.5942E-01 19 27.48 45.00 1.1023E-05 1.3571E-05 2.4594E-05 5.4742E-06 7.1947E-06 0.4966 0.5301 0.0700 7.6086E-01 21 30.54 50.00 7.4599E-06 9.1847E-06 1.6645E-05 3.7027E-06 4.8663E-06 0.4963 0.5298 0.0699 7.6088E-01 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 0.35930 0.41240 0.41213 0.38160 0.42316 0.42326 0.39306 5.000 5.010 5.005 0.34976 0.42945 0.42895 0.33231 0.43129 0.43158 0.30708 10.000 10.010 10.005 0.20509 0.42950 0.42650 0.18205 0.43135 0.43312 0.15760 15.000 15.010 15.005 0.10453 0.41207 0.39618 0.09742 0.42024 0.43061 0.09139 20.000 20.010 20.005 0.08027 0.33205 0.28421 0.07914 0.36427 0.41435 0.07860 25.000 25.010 25.005 0.07700 0.18122 0.14314 0.07694 0.22241 0.34223 0.07729 30.000 30.010 30.005 0.07710 0.09955 0.08984 0.07723 0.11369 0.19272 0.07765 35.000 35.010 35.005 0.07758 0.08106 0.07950 0.07771 0.08393 0.10241 0.07808 40.000 40.010 40.005 0.07792 0.07815 0.07805 0.07804 0.07876 0.08102 0.07836 45.000 45.010 45.005 0.07813 0.07799 0.07806 0.07823 0.07813 0.07784 0.07851 50.000 50.010 50.005 0.07821 0.07805 0.07813 0.07830 0.07817 0.07774 0.07856 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 8.26289E-02 3.42267E-04 6.68238E-03 7.02465E-03 2.83959E-04 0.080872 9 1 10.0 0.0 180.0 5.09854E-02 3.51524E-04 1.90421E-03 2.25573E-03 2.91639E-04 0.037348 9 4 10.0 45.0 135.0 5.60192E-02 3.48558E-04 2.21768E-03 2.56624E-03 2.89179E-04 0.039588 9 7 10.0 90.0 90.0 7.56866E-02 3.44406E-04 4.76801E-03 5.11242E-03 2.85734E-04 0.062997 8 1 20.0 0.0 180.0 4.00483E-02 3.56582E-04 9.81576E-04 1.33816E-03 2.95836E-04 0.024510 8 4 20.0 45.0 135.0 4.45846E-02 3.50408E-04 1.16167E-03 1.51208E-03 2.90714E-04 0.026055 8 7 20.0 90.0 90.0 6.55595E-02 3.44406E-04 2.73118E-03 3.07558E-03 2.85734E-04 0.041660 7 1 30.0 0.0 180.0 3.47241E-02 3.62853E-04 8.35885E-04 1.19874E-03 3.01039E-04 0.024072 7 4 30.0 45.0 135.0 3.85009E-02 3.58625E-04 9.39428E-04 1.29805E-03 2.97531E-04 0.024400 7 7 30.0 90.0 90.0 5.61222E-02 3.48832E-04 1.64728E-03 1.99611E-03 2.89406E-04 0.029352 6 1 40.0 0.0 180.0 3.29597E-02 3.66549E-04 9.29401E-04 1.29595E-03 3.04105E-04 0.028198 6 4 40.0 45.0 135.0 3.60397E-02 3.60932E-04 1.00800E-03 1.36893E-03 2.99445E-04 0.027969 6 7 40.0 90.0 90.0 5.05991E-02 3.49655E-04 1.46217E-03 1.81183E-03 2.90089E-04 0.028897 5 1 50.0 0.0 180.0 3.45572E-02 3.71667E-04 1.46814E-03 1.83981E-03 3.08351E-04 0.042485 5 4 50.0 45.0 135.0 3.68253E-02 3.63404E-04 1.52954E-03 1.89294E-03 3.01495E-04 0.041535 5 7 50.0 90.0 90.0 4.89500E-02 3.51858E-04 1.97741E-03 2.32926E-03 2.91917E-04 0.040396 4 1 60.0 0.0 180.0 4.10199E-02 3.66636E-04 3.42010E-03 3.78673E-03 3.04177E-04 0.083377 4 4 60.0 45.0 135.0 4.19482E-02 3.57477E-04 3.37728E-03 3.73476E-03 2.96578E-04 0.080511 4 7 60.0 90.0 90.0 5.18006E-02 3.50027E-04 3.94390E-03 4.29393E-03 2.90398E-04 0.076136 3 1 70.0 0.0 180.0 5.69154E-02 3.40622E-04 9.44722E-03 9.78784E-03 2.82595E-04 0.165987 3 4 70.0 45.0 135.0 5.53134E-02 3.35405E-04 9.08998E-03 9.42538E-03 2.78266E-04 0.164336 3 7 70.0 90.0 90.0 6.18391E-02 3.28732E-04 9.88492E-03 1.02137E-02 2.72730E-04 0.159849 2 1 80.0 0.0 180.0 9.67001E-02 2.92267E-04 2.34830E-02 2.37752E-02 2.42477E-04 0.242843 2 4 80.0 45.0 135.0 8.95424E-02 2.86916E-04 2.27129E-02 2.29998E-02 2.38038E-04 0.253655 2 7 80.0 90.0 90.0 8.89611E-02 2.81813E-04 2.37866E-02 2.40684E-02 2.33804E-04 0.267382 1 1 87.5 0.0 180.0 1.56346E-01 2.36103E-04 4.14155E-02 4.16516E-02 1.95882E-04 0.264896 1 4 87.5 45.0 135.0 1.40771E-01 2.20658E-04 4.11598E-02 4.13804E-02 1.83067E-04 0.292389 1 7 87.5 90.0 90.0 1.28070E-01 2.40599E-04 4.21243E-02 4.23649E-02 1.99611E-04 0.328916 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 7.025E-03 8.263E-02 9.900E-02 8.522E-02 1.281E-01 5.828E-03 5.744E+00 3.423E-04 2.840E-04 1 0.00 0.00 6.352E-04 1.537E-01 1.520E-03 1.830E-03 3.107E-03 5.441E-04 4.078E+00 3 3.05 5.00 1.048E-04 5.743E-02 2.156E-04 2.937E-04 5.769E-04 7.647E-04 3.863E+00 5 6.11 10.00 3.328E-05 1.137E-02 4.656E-05 5.618E-05 8.741E-05 2.104E-03 3.347E+00 7 9.16 15.00 1.858E-05 1.815E-03 2.030E-05 2.140E-05 2.456E-05 9.960E-03 3.120E+00 9 12.22 20.00 1.229E-05 2.704E-04 1.267E-05 1.279E-05 1.310E-05 4.839E-02 3.083E+00 11 15.27 25.00 8.349E-06 4.578E-05 8.574E-06 8.587E-06 8.616E-06 1.463E-01 3.086E+00 13 18.32 30.00 5.674E-06 1.270E-05 5.855E-06 5.856E-06 5.859E-06 2.212E-01 3.094E+00 15 21.38 35.00 3.847E-06 6.274E-06 3.990E-06 3.990E-06 3.991E-06 2.413E-01 3.101E+00 17 24.43 40.00 2.603E-06 3.962E-06 2.712E-06 2.712E-06 2.712E-06 2.444E-01 3.107E+00 19 27.48 45.00 1.759E-06 2.645E-06 1.840E-06 1.840E-06 1.840E-06 2.445E-01 3.112E+00 21 30.54 50.00 1.188E-06 1.784E-06 1.246E-06 1.246E-06 1.246E-06 2.441E-01 3.117E+00 Waveband 26 of 30 completed in 10.7 sec. * * * * * Output for wavelength band 27 (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 79.8 m at 665.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 660.0 nm to 670.0 nm: Ed(diffuse) = 3.168E-01 Ed(direct) = 9.381E-01 Ed(total) = 1.255E+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 0.0094 0.0000 0.0003 0.4387 3 3.353 5.000 0.4290 0.0094 0.0000 0.0003 0.4387 5 6.706 10.000 0.4290 0.0094 0.0000 0.0003 0.4387 7 10.059 15.000 0.4290 0.0094 0.0000 0.0003 0.4387 9 13.412 20.000 0.4290 0.0094 0.0000 0.0003 0.4387 11 16.765 25.000 0.4290 0.0094 0.0000 0.0003 0.4387 13 20.118 30.000 0.4290 0.0094 0.0000 0.0003 0.4387 15 23.471 35.000 0.4290 0.0094 0.0000 0.0003 0.4387 17 26.824 40.000 0.4290 0.0094 0.0000 0.0003 0.4387 19 30.177 45.000 0.4290 0.0094 0.0000 0.0003 0.4387 21 33.530 50.000 0.4290 0.0094 0.0000 0.0003 0.4387 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 0.1136 0.1174 0.0000 0.2319 3 3.353 5.000 0.0008 0.1136 0.1174 0.0000 0.2319 5 6.706 10.000 0.0008 0.1136 0.1174 0.0000 0.2319 7 10.059 15.000 0.0008 0.1136 0.1174 0.0000 0.2319 9 13.412 20.000 0.0008 0.1136 0.1174 0.0000 0.2319 11 16.765 25.000 0.0008 0.1136 0.1174 0.0000 0.2319 13 20.118 30.000 0.0008 0.1136 0.1174 0.0000 0.2319 15 23.471 35.000 0.0008 0.1136 0.1174 0.0000 0.2319 17 26.824 40.000 0.0008 0.1136 0.1174 0.0000 0.2319 19 30.177 45.000 0.0008 0.1136 0.1174 0.0000 0.2319 21 33.530 50.000 0.0008 0.1136 0.1174 0.0000 0.2319 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 0.00159 0.00021 0.00000 0.00222 3 3.353 5.000 0.00042 0.00159 0.00021 0.00000 0.00222 5 6.706 10.000 0.00042 0.00159 0.00021 0.00000 0.00222 7 10.059 15.000 0.00042 0.00159 0.00021 0.00000 0.00222 9 13.412 20.000 0.00042 0.00159 0.00021 0.00000 0.00222 11 16.765 25.000 0.00042 0.00159 0.00021 0.00000 0.00222 13 20.118 30.000 0.00042 0.00159 0.00021 0.00000 0.00222 15 23.471 35.000 0.00042 0.00159 0.00021 0.00000 0.00222 17 26.824 40.000 0.00042 0.00159 0.00021 0.00000 0.00222 19 30.177 45.000 0.00042 0.00159 0.00021 0.00000 0.00222 21 33.530 50.000 0.00042 0.00159 0.00021 0.00000 0.00222 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 0.4387 0.2319 0.6706 0.3458 0.00222 0.00958 3 3.353 5.000 0.4387 0.2319 0.6706 0.3458 0.00222 0.00958 5 6.706 10.000 0.4387 0.2319 0.6706 0.3458 0.00222 0.00958 7 10.059 15.000 0.4387 0.2319 0.6706 0.3458 0.00222 0.00958 9 13.412 20.000 0.4387 0.2319 0.6706 0.3458 0.00222 0.00958 11 16.765 25.000 0.4387 0.2319 0.6706 0.3458 0.00222 0.00958 13 20.118 30.000 0.4387 0.2319 0.6706 0.3458 0.00222 0.00958 15 23.471 35.000 0.4387 0.2319 0.6706 0.3458 0.00222 0.00958 17 26.824 40.000 0.4387 0.2319 0.6706 0.3458 0.00222 0.00958 19 30.177 45.000 0.4387 0.2319 0.6706 0.3458 0.00222 0.00958 21 33.530 50.000 0.4387 0.2319 0.6706 0.3458 0.00222 0.00958 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 7.9645E-01 8 20.00 4.4057E-01 7 30.00 1.8419E-01 6 40.00 6.5323E-02 5 50.00 2.2160E-02 4 60.00 7.9879E-03 3 70.00 3.2656E-03 2 80.00 1.5464E-03 1 87.50 9.5920E-04 1 92.50 7.2184E-04 2 100.00 5.1261E-04 3 110.00 3.6080E-04 4 120.00 2.8286E-04 5 130.00 2.4188E-04 6 140.00 2.1983E-04 7 150.00 2.0788E-04 8 160.00 2.0157E-04 9 170.00 1.9851E-04 10 180.00 1.9740E-04 Asymptotic AOP values are MUu(inf) = 0.3820 MUd(inf) = 0.8984 MU(inf) = 0.8930 R(inf) = 0.0018 Lu(inf)/Ed(inf) = 0.000423 (1/sr) k(inf) = 0.4913 (1/m) absorp(check) = 0.4387 = 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 1.1446E-01 1.7242E+00 1.8386E+00 4.1841E-02 1.2549E+00 0.3655 0.7278 0.6597 3.3343E-02 1 0.00 0.00 6.1507E-03 1.3520E+00 1.3582E+00 2.4567E-03 1.2155E+00 0.3994 0.8990 0.8931 2.0212E-03 3 3.35 5.00 9.0419E-04 1.1543E-01 1.1634E-01 3.9004E-04 1.0200E-01 0.4314 0.8836 0.8734 3.8239E-03 5 6.71 10.00 3.2823E-04 9.8228E-03 1.0151E-02 1.5748E-04 8.5505E-03 0.4798 0.8705 0.8268 1.8417E-02 7 10.06 15.00 2.0425E-04 1.0153E-03 1.2196E-03 1.0047E-04 8.1140E-04 0.4919 0.7992 0.5829 1.2383E-01 9 13.41 20.00 1.4008E-04 2.2903E-04 3.6911E-04 6.9068E-05 1.4260E-04 0.4931 0.6226 0.1992 4.8435E-01 11 16.77 25.00 9.6832E-05 1.1972E-04 2.1655E-04 4.7721E-05 6.4213E-05 0.4928 0.5364 0.0762 7.4317E-01 13 20.12 30.00 6.6800E-05 7.9493E-05 1.4629E-04 3.2897E-05 4.1491E-05 0.4925 0.5220 0.0587 7.9286E-01 15 23.47 35.00 4.5992E-05 5.4502E-05 1.0049E-04 2.2635E-05 2.8338E-05 0.4922 0.5199 0.0567 7.9877E-01 17 26.82 40.00 3.1634E-05 3.7476E-05 6.9110E-05 1.5561E-05 1.9469E-05 0.4919 0.5195 0.0565 7.9928E-01 19 30.18 45.00 2.1755E-05 2.5769E-05 4.7524E-05 1.0696E-05 1.3380E-05 0.4917 0.5192 0.0565 7.9942E-01 21 33.53 50.00 1.4967E-05 1.7723E-05 3.2690E-05 7.3560E-06 9.1981E-06 0.4915 0.5190 0.0563 7.9973E-01 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 0.41038 0.48079 0.48047 0.42301 0.49059 0.49073 0.42565 5.000 5.010 5.005 0.30374 0.49572 0.49423 0.27616 0.49755 0.49840 0.24526 10.000 10.010 10.005 0.12570 0.48501 0.47337 0.11441 0.49103 0.49811 0.10450 15.000 15.010 15.005 0.07989 0.39970 0.34606 0.07835 0.43433 0.48474 0.07734 20.000 20.010 20.005 0.07451 0.19131 0.14697 0.07442 0.24174 0.39915 0.07464 25.000 25.010 25.005 0.07445 0.09190 0.08409 0.07453 0.10434 0.19063 0.07486 30.000 30.010 30.005 0.07481 0.07632 0.07563 0.07489 0.07811 0.09045 0.07519 35.000 35.010 35.005 0.07501 0.07474 0.07486 0.07508 0.07506 0.07497 0.07536 40.000 40.010 40.005 0.07504 0.07474 0.07488 0.07512 0.07488 0.07394 0.07537 45.000 45.010 45.005 0.07496 0.07479 0.07487 0.07503 0.07490 0.07437 0.07527 50.000 50.010 50.005 0.07481 0.07470 0.07475 0.07487 0.07484 0.07470 0.07509 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 8.54737E-02 3.29318E-04 6.95328E-03 7.28260E-03 2.62435E-04 0.081350 9 1 10.0 0.0 180.0 5.27408E-02 3.37661E-04 1.97525E-03 2.31291E-03 2.69084E-04 0.037452 9 4 10.0 45.0 135.0 5.79479E-02 3.34981E-04 2.30109E-03 2.63607E-03 2.66948E-04 0.039710 9 7 10.0 90.0 90.0 7.82924E-02 3.31367E-04 4.95743E-03 5.28880E-03 2.64068E-04 0.063319 8 1 20.0 0.0 180.0 4.14272E-02 3.42127E-04 1.01565E-03 1.35777E-03 2.72643E-04 0.024516 8 4 20.0 45.0 135.0 4.61196E-02 3.36491E-04 1.20238E-03 1.53887E-03 2.68151E-04 0.026071 8 7 20.0 90.0 90.0 6.78167E-02 3.31320E-04 2.83482E-03 3.16614E-03 2.64031E-04 0.041801 7 1 30.0 0.0 180.0 3.59196E-02 3.47766E-04 8.64664E-04 1.21243E-03 2.77136E-04 0.024072 7 4 30.0 45.0 135.0 3.98266E-02 3.44110E-04 9.71806E-04 1.31592E-03 2.74223E-04 0.024401 7 7 30.0 90.0 90.0 5.80532E-02 3.35488E-04 1.70588E-03 2.04137E-03 2.67352E-04 0.029385 6 1 40.0 0.0 180.0 3.40945E-02 3.50848E-04 9.61399E-04 1.31225E-03 2.79593E-04 0.028198 6 4 40.0 45.0 135.0 3.72805E-02 3.45962E-04 1.04270E-03 1.38867E-03 2.75699E-04 0.027969 6 7 40.0 90.0 90.0 5.23412E-02 3.36050E-04 1.51264E-03 1.84869E-03 2.67800E-04 0.028900 5 1 50.0 0.0 180.0 3.57469E-02 3.55348E-04 1.51869E-03 1.87404E-03 2.83179E-04 0.042485 5 4 50.0 45.0 135.0 3.80932E-02 3.47977E-04 1.58220E-03 1.93017E-03 2.77305E-04 0.041535 5 7 50.0 90.0 90.0 5.06353E-02 3.37790E-04 2.04549E-03 2.38328E-03 2.69186E-04 0.040396 4 1 60.0 0.0 180.0 4.24322E-02 3.50134E-04 3.53785E-03 3.88798E-03 2.79024E-04 0.083377 4 4 60.0 45.0 135.0 4.33925E-02 3.41924E-04 3.49356E-03 3.83548E-03 2.72481E-04 0.080511 4 7 60.0 90.0 90.0 5.35840E-02 3.35568E-04 4.07969E-03 4.41526E-03 2.67416E-04 0.076136 3 1 70.0 0.0 180.0 5.88749E-02 3.24848E-04 9.77248E-03 1.00973E-02 2.58873E-04 0.165987 3 4 70.0 45.0 135.0 5.72178E-02 3.20347E-04 9.40294E-03 9.72328E-03 2.55286E-04 0.164336 3 7 70.0 90.0 90.0 6.39682E-02 3.14475E-04 1.02252E-02 1.05397E-02 2.50607E-04 0.159849 2 1 80.0 0.0 180.0 1.00029E-01 2.78352E-04 2.42915E-02 2.45698E-02 2.21820E-04 0.242843 2 4 80.0 45.0 135.0 9.26253E-02 2.73620E-04 2.34949E-02 2.37685E-02 2.18049E-04 0.253655 2 7 80.0 90.0 90.0 9.20240E-02 2.68989E-04 2.46055E-02 2.48745E-02 2.14359E-04 0.267382 1 1 87.5 0.0 180.0 1.61729E-01 2.24523E-04 4.28414E-02 4.30659E-02 1.78924E-04 0.264896 1 4 87.5 45.0 135.0 1.45617E-01 2.10079E-04 4.25769E-02 4.27870E-02 1.67413E-04 0.292389 1 7 87.5 90.0 90.0 1.32480E-01 2.29039E-04 4.35746E-02 4.38037E-02 1.82523E-04 0.328916 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 7.283E-03 8.547E-02 1.024E-01 8.814E-02 1.325E-01 5.804E-03 5.745E+00 3.293E-04 2.624E-04 1 0.00 0.00 6.112E-04 1.590E-01 1.444E-03 1.729E-03 2.899E-03 5.029E-04 4.019E+00 3 3.35 5.00 1.079E-04 4.361E-02 1.819E-04 2.307E-04 4.072E-04 1.058E-03 3.616E+00 5 6.71 10.00 4.838E-05 6.342E-03 5.769E-05 6.192E-05 7.555E-05 5.659E-03 3.255E+00 7 10.06 15.00 3.149E-05 7.665E-04 3.451E-05 3.485E-05 3.582E-05 3.881E-02 3.191E+00 9 13.41 20.00 2.165E-05 1.045E-04 2.356E-05 2.359E-05 2.366E-05 1.518E-01 3.191E+00 11 16.77 25.00 1.493E-05 2.796E-05 1.631E-05 1.631E-05 1.632E-05 2.324E-01 3.197E+00 13 20.12 30.00 1.027E-05 1.501E-05 1.127E-05 1.127E-05 1.127E-05 2.475E-01 3.204E+00 15 23.47 35.00 7.053E-06 9.923E-06 7.769E-06 7.769E-06 7.769E-06 2.489E-01 3.209E+00 17 26.82 40.00 4.841E-06 6.779E-06 5.349E-06 5.349E-06 5.349E-06 2.487E-01 3.214E+00 19 30.18 45.00 3.323E-06 4.651E-06 3.682E-06 3.682E-06 3.682E-06 2.484E-01 3.219E+00 21 33.53 50.00 2.283E-06 3.192E-06 2.535E-06 2.535E-06 2.535E-06 2.482E-01 3.223E+00 Waveband 27 of 30 completed in 11.3 sec. * * * * * Output for wavelength band 28 (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 79.0 m at 675.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 670.0 nm to 680.0 nm: Ed(diffuse) = 3.090E-01 Ed(direct) = 9.226E-01 Ed(total) = 1.232E+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 0.0116 0.0000 0.0002 0.4599 3 3.453 5.000 0.4480 0.0116 0.0000 0.0002 0.4599 5 6.907 10.000 0.4480 0.0116 0.0000 0.0002 0.4599 7 10.360 15.000 0.4480 0.0116 0.0000 0.0002 0.4599 9 13.813 20.000 0.4480 0.0116 0.0000 0.0002 0.4599 11 17.267 25.000 0.4480 0.0116 0.0000 0.0002 0.4599 13 20.720 30.000 0.4480 0.0116 0.0000 0.0002 0.4599 15 24.174 35.000 0.4480 0.0116 0.0000 0.0002 0.4599 17 27.627 40.000 0.4480 0.0116 0.0000 0.0002 0.4599 19 31.080 45.000 0.4480 0.0116 0.0000 0.0002 0.4599 21 34.534 50.000 0.4480 0.0116 0.0000 0.0002 0.4599 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 0.1131 0.1169 0.0000 0.2308 3 3.453 5.000 0.0008 0.1131 0.1169 0.0000 0.2308 5 6.907 10.000 0.0008 0.1131 0.1169 0.0000 0.2308 7 10.360 15.000 0.0008 0.1131 0.1169 0.0000 0.2308 9 13.813 20.000 0.0008 0.1131 0.1169 0.0000 0.2308 11 17.267 25.000 0.0008 0.1131 0.1169 0.0000 0.2308 13 20.720 30.000 0.0008 0.1131 0.1169 0.0000 0.2308 15 24.174 35.000 0.0008 0.1131 0.1169 0.0000 0.2308 17 27.627 40.000 0.0008 0.1131 0.1169 0.0000 0.2308 19 31.080 45.000 0.0008 0.1131 0.1169 0.0000 0.2308 21 34.534 50.000 0.0008 0.1131 0.1169 0.0000 0.2308 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 0.00159 0.00021 0.00000 0.00219 3 3.453 5.000 0.00040 0.00159 0.00021 0.00000 0.00219 5 6.907 10.000 0.00040 0.00159 0.00021 0.00000 0.00219 7 10.360 15.000 0.00040 0.00159 0.00021 0.00000 0.00219 9 13.813 20.000 0.00040 0.00159 0.00021 0.00000 0.00219 11 17.267 25.000 0.00040 0.00159 0.00021 0.00000 0.00219 13 20.720 30.000 0.00040 0.00159 0.00021 0.00000 0.00219 15 24.174 35.000 0.00040 0.00159 0.00021 0.00000 0.00219 17 27.627 40.000 0.00040 0.00159 0.00021 0.00000 0.00219 19 31.080 45.000 0.00040 0.00159 0.00021 0.00000 0.00219 21 34.534 50.000 0.00040 0.00159 0.00021 0.00000 0.00219 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 0.4599 0.2308 0.6907 0.3342 0.00219 0.00947 3 3.453 5.000 0.4599 0.2308 0.6907 0.3342 0.00219 0.00947 5 6.907 10.000 0.4599 0.2308 0.6907 0.3342 0.00219 0.00947 7 10.360 15.000 0.4599 0.2308 0.6907 0.3342 0.00219 0.00947 9 13.813 20.000 0.4599 0.2308 0.6907 0.3342 0.00219 0.00947 11 17.267 25.000 0.4599 0.2308 0.6907 0.3342 0.00219 0.00947 13 20.720 30.000 0.4599 0.2308 0.6907 0.3342 0.00219 0.00947 15 24.174 35.000 0.4599 0.2308 0.6907 0.3342 0.00219 0.00947 17 27.627 40.000 0.4599 0.2308 0.6907 0.3342 0.00219 0.00947 19 31.080 45.000 0.4599 0.2308 0.6907 0.3342 0.00219 0.00947 21 34.534 50.000 0.4599 0.2308 0.6907 0.3342 0.00219 0.00947 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 7.9028E-01 8 20.00 4.2899E-01 7 30.00 1.7512E-01 6 40.00 6.0715E-02 5 50.00 2.0253E-02 4 60.00 7.2363E-03 3 70.00 2.9510E-03 2 80.00 1.3978E-03 1 87.50 8.6749E-04 1 92.50 6.5332E-04 2 100.00 4.6415E-04 3 110.00 3.2686E-04 4 120.00 2.5645E-04 5 130.00 2.1944E-04 6 140.00 1.9952E-04 7 150.00 1.8873E-04 8 160.00 1.8302E-04 9 170.00 1.8027E-04 10 180.00 1.7926E-04 Asymptotic AOP values are MUu(inf) = 0.3823 MUd(inf) = 0.9012 MU(inf) = 0.8961 R(inf) = 0.0017 Lu(inf)/Ed(inf) = 0.000396 (1/sr) k(inf) = 0.5132 (1/m) absorp(check) = 0.4599 = 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 1.1237E-01 1.6906E+00 1.8029E+00 4.1256E-02 1.2316E+00 0.3671 0.7285 0.6602 3.3498E-02 1 0.00 0.00 7.0672E-03 1.3276E+00 1.3347E+00 2.9312E-03 1.1932E+00 0.4148 0.8988 0.8918 2.4565E-03 3 3.45 5.00 1.6081E-03 1.0171E-01 1.0332E-01 7.4196E-04 8.9637E-02 0.4614 0.8813 0.8604 8.2774E-03 5 6.91 10.00 8.5430E-04 8.3395E-03 9.1938E-03 4.1541E-04 7.0225E-03 0.4863 0.8421 0.7186 5.9154E-02 7 10.36 15.00 5.7846E-04 1.2121E-03 1.7905E-03 2.8331E-04 8.2489E-04 0.4898 0.6806 0.3025 3.4345E-01 9 13.81 20.00 4.0330E-04 5.0976E-04 9.1305E-04 1.9759E-04 2.7740E-04 0.4899 0.5442 0.0874 7.1229E-01 11 17.27 25.00 2.8125E-04 3.3121E-04 6.1246E-04 1.3775E-04 1.7169E-04 0.4898 0.5184 0.0554 8.0231E-01 13 20.72 30.00 1.9572E-04 2.2887E-04 4.2459E-04 9.5822E-05 1.1795E-04 0.4896 0.5154 0.0521 8.1238E-01 15 24.17 35.00 1.3600E-04 1.5899E-04 2.9499E-04 6.6567E-05 8.1877E-05 0.4895 0.5150 0.0519 8.1301E-01 17 27.63 40.00 9.4446E-05 1.1042E-04 2.0486E-04 4.6218E-05 5.6852E-05 0.4894 0.5149 0.0519 8.1296E-01 19 31.08 45.00 6.5593E-05 7.6676E-05 1.4227E-04 3.2094E-05 3.9472E-05 0.4893 0.5148 0.0519 8.1307E-01 21 34.53 50.00 4.5578E-05 5.3264E-05 9.8842E-05 2.2298E-05 2.7414E-05 0.4892 0.5147 0.0518 8.1337E-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 0.37692 0.50424 0.50356 0.37307 0.51359 0.51394 0.36145 5.000 5.010 5.005 0.19248 0.51453 0.50951 0.17221 0.51803 0.52092 0.15308 10.000 10.010 10.005 0.08942 0.47056 0.43508 0.08568 0.49077 0.51629 0.08248 15.000 15.010 15.005 0.07387 0.27177 0.20779 0.07345 0.33247 0.46823 0.07317 20.000 20.010 20.005 0.07252 0.10589 0.09115 0.07250 0.12813 0.26599 0.07257 25.000 25.010 25.005 0.07275 0.07556 0.07427 0.07278 0.07850 0.10175 0.07288 30.000 30.010 30.005 0.07300 0.07263 0.07280 0.07303 0.07302 0.07296 0.07313 35.000 35.010 35.005 0.07309 0.07263 0.07284 0.07313 0.07273 0.07098 0.07322 40.000 40.010 40.005 0.07310 0.07276 0.07291 0.07311 0.07283 0.07162 0.07319 45.000 45.010 45.005 0.07298 0.07278 0.07287 0.07300 0.07285 0.07222 0.07307 50.000 50.010 50.005 0.07282 0.07273 0.07277 0.07283 0.07278 0.07255 0.07289 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 8.33768E-02 4.09579E-04 6.82092E-03 7.23050E-03 3.32565E-04 0.081808 9 1 10.0 0.0 180.0 5.14469E-02 4.18010E-04 1.93192E-03 2.34993E-03 3.39411E-04 0.037552 9 4 10.0 45.0 135.0 5.65262E-02 4.15289E-04 2.25124E-03 2.66652E-03 3.37202E-04 0.039826 9 7 10.0 90.0 90.0 7.63717E-02 4.12124E-04 4.85946E-03 5.27158E-03 3.34632E-04 0.063629 8 1 20.0 0.0 180.0 4.04108E-02 4.22185E-04 9.90991E-04 1.41318E-03 3.42802E-04 0.024523 8 4 20.0 45.0 135.0 4.49881E-02 4.16270E-04 1.17356E-03 1.58983E-03 3.37998E-04 0.026086 8 7 20.0 90.0 90.0 6.61529E-02 4.11970E-04 2.77426E-03 3.18623E-03 3.34507E-04 0.041937 7 1 30.0 0.0 180.0 3.50384E-02 4.27864E-04 8.43451E-04 1.27131E-03 3.47413E-04 0.024072 7 4 30.0 45.0 135.0 3.88497E-02 4.24814E-04 9.47996E-04 1.37281E-03 3.44936E-04 0.024402 7 7 30.0 90.0 90.0 5.66278E-02 4.16938E-04 1.66580E-03 2.08274E-03 3.38541E-04 0.029417 6 1 40.0 0.0 180.0 3.32580E-02 4.30191E-04 9.37813E-04 1.36800E-03 3.49302E-04 0.028198 6 4 40.0 45.0 135.0 3.63659E-02 4.25961E-04 1.01712E-03 1.44308E-03 3.45867E-04 0.027969 6 7 40.0 90.0 90.0 5.10571E-02 4.17011E-04 1.47564E-03 1.89265E-03 3.38600E-04 0.028902 5 1 50.0 0.0 180.0 3.48699E-02 4.34452E-04 1.48143E-03 1.91589E-03 3.52762E-04 0.042485 5 4 50.0 45.0 135.0 3.71586E-02 4.27343E-04 1.54338E-03 1.97072E-03 3.46990E-04 0.041535 5 7 50.0 90.0 90.0 4.93930E-02 4.18037E-04 1.99530E-03 2.41334E-03 3.39433E-04 0.040396 4 1 60.0 0.0 180.0 4.13912E-02 4.26802E-04 3.45105E-03 3.87786E-03 3.46550E-04 0.083377 4 4 60.0 45.0 135.0 4.23279E-02 4.18733E-04 3.40785E-03 3.82659E-03 3.39999E-04 0.080511 4 7 60.0 90.0 90.0 5.22694E-02 4.13867E-04 3.97960E-03 4.39347E-03 3.36047E-04 0.076136 3 1 70.0 0.0 180.0 5.74306E-02 3.94564E-04 9.53273E-03 9.92729E-03 3.20374E-04 0.165987 3 4 70.0 45.0 135.0 5.58141E-02 3.90831E-04 9.17225E-03 9.56308E-03 3.17343E-04 0.164336 3 7 70.0 90.0 90.0 6.23988E-02 3.85708E-04 9.97439E-03 1.03601E-02 3.13183E-04 0.159849 2 1 80.0 0.0 180.0 9.75754E-02 3.36859E-04 2.36955E-02 2.40324E-02 2.73519E-04 0.242843 2 4 80.0 45.0 135.0 9.03529E-02 3.32479E-04 2.29185E-02 2.32510E-02 2.69963E-04 0.253655 2 7 80.0 90.0 90.0 8.97663E-02 3.27980E-04 2.40019E-02 2.43299E-02 2.66310E-04 0.267382 1 1 87.5 0.0 180.0 1.57761E-01 2.70587E-04 4.17903E-02 4.20609E-02 2.19708E-04 0.264896 1 4 87.5 45.0 135.0 1.42045E-01 2.54091E-04 4.15323E-02 4.17864E-02 2.06314E-04 0.292389 1 7 87.5 90.0 90.0 1.29229E-01 2.77249E-04 4.25056E-02 4.27829E-02 2.25118E-04 0.328916 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 7.230E-03 8.338E-02 9.991E-02 8.601E-02 1.292E-01 5.871E-03 5.706E+00 4.096E-04 3.326E-04 1 0.00 0.00 7.602E-04 1.551E-01 1.620E-03 1.892E-03 2.990E-03 6.371E-04 3.856E+00 3 3.45 5.00 2.163E-04 3.842E-02 2.988E-04 3.390E-04 4.844E-04 2.414E-03 3.429E+00 5 6.91 10.00 1.269E-04 5.116E-03 1.471E-04 1.502E-04 1.602E-04 1.807E-02 3.274E+00 7 10.36 15.00 8.698E-05 6.292E-04 9.842E-05 9.864E-05 9.928E-05 1.054E-01 3.257E+00 9 13.81 20.00 6.063E-05 1.296E-04 6.858E-05 6.859E-05 6.863E-05 2.186E-01 3.259E+00 11 17.27 25.00 4.222E-05 6.156E-05 4.786E-05 4.786E-05 4.787E-05 2.459E-01 3.263E+00 13 20.72 30.00 2.934E-05 4.036E-05 3.333E-05 3.333E-05 3.333E-05 2.488E-01 3.266E+00 15 24.17 35.00 2.037E-05 2.783E-05 2.317E-05 2.317E-05 2.317E-05 2.488E-01 3.268E+00 17 27.63 40.00 1.413E-05 1.930E-05 1.610E-05 1.610E-05 1.610E-05 2.486E-01 3.270E+00 19 31.08 45.00 9.809E-06 1.339E-05 1.118E-05 1.118E-05 1.118E-05 2.485E-01 3.272E+00 21 34.53 50.00 6.812E-06 9.297E-06 7.773E-06 7.773E-06 7.773E-06 2.485E-01 3.273E+00 Waveband 28 of 30 completed in 11.5 sec. * * * * * Output for wavelength band 29 (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 77.7 m at 685.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 680.0 nm to 690.0 nm: Ed(diffuse) = 2.816E-01 Ed(direct) = 8.472E-01 Ed(total) = 1.129E+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 0.0073 0.0000 0.0002 0.4935 3 3.616 5.000 0.4860 0.0073 0.0000 0.0002 0.4935 5 7.233 10.000 0.4860 0.0073 0.0000 0.0002 0.4935 7 10.849 15.000 0.4860 0.0073 0.0000 0.0002 0.4935 9 14.466 20.000 0.4860 0.0073 0.0000 0.0002 0.4935 11 18.082 25.000 0.4860 0.0073 0.0000 0.0002 0.4935 13 21.699 30.000 0.4860 0.0073 0.0000 0.0002 0.4935 15 25.315 35.000 0.4860 0.0073 0.0000 0.0002 0.4935 17 28.932 40.000 0.4860 0.0073 0.0000 0.0002 0.4935 19 32.548 45.000 0.4860 0.0073 0.0000 0.0002 0.4935 21 36.164 50.000 0.4860 0.0073 0.0000 0.0002 0.4935 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 0.1126 0.1164 0.0000 0.2298 3 3.616 5.000 0.0007 0.1126 0.1164 0.0000 0.2298 5 7.233 10.000 0.0007 0.1126 0.1164 0.0000 0.2298 7 10.849 15.000 0.0007 0.1126 0.1164 0.0000 0.2298 9 14.466 20.000 0.0007 0.1126 0.1164 0.0000 0.2298 11 18.082 25.000 0.0007 0.1126 0.1164 0.0000 0.2298 13 21.699 30.000 0.0007 0.1126 0.1164 0.0000 0.2298 15 25.315 35.000 0.0007 0.1126 0.1164 0.0000 0.2298 17 28.932 40.000 0.0007 0.1126 0.1164 0.0000 0.2298 19 32.548 45.000 0.0007 0.1126 0.1164 0.0000 0.2298 21 36.164 50.000 0.0007 0.1126 0.1164 0.0000 0.2298 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 0.00158 0.00020 0.00000 0.00215 3 3.616 5.000 0.00037 0.00158 0.00020 0.00000 0.00215 5 7.233 10.000 0.00037 0.00158 0.00020 0.00000 0.00215 7 10.849 15.000 0.00037 0.00158 0.00020 0.00000 0.00215 9 14.466 20.000 0.00037 0.00158 0.00020 0.00000 0.00215 11 18.082 25.000 0.00037 0.00158 0.00020 0.00000 0.00215 13 21.699 30.000 0.00037 0.00158 0.00020 0.00000 0.00215 15 25.315 35.000 0.00037 0.00158 0.00020 0.00000 0.00215 17 28.932 40.000 0.00037 0.00158 0.00020 0.00000 0.00215 19 32.548 45.000 0.00037 0.00158 0.00020 0.00000 0.00215 21 36.164 50.000 0.00037 0.00158 0.00020 0.00000 0.00215 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 0.4935 0.2298 0.7233 0.3177 0.00215 0.00938 3 3.616 5.000 0.4935 0.2298 0.7233 0.3177 0.00215 0.00938 5 7.233 10.000 0.4935 0.2298 0.7233 0.3177 0.00215 0.00938 7 10.849 15.000 0.4935 0.2298 0.7233 0.3177 0.00215 0.00938 9 14.466 20.000 0.4935 0.2298 0.7233 0.3177 0.00215 0.00938 11 18.082 25.000 0.4935 0.2298 0.7233 0.3177 0.00215 0.00938 13 21.699 30.000 0.4935 0.2298 0.7233 0.3177 0.00215 0.00938 15 25.315 35.000 0.4935 0.2298 0.7233 0.3177 0.00215 0.00938 17 28.932 40.000 0.4935 0.2298 0.7233 0.3177 0.00215 0.00938 19 32.548 45.000 0.4935 0.2298 0.7233 0.3177 0.00215 0.00938 21 36.164 50.000 0.4935 0.2298 0.7233 0.3177 0.00215 0.00938 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 7.8096E-01 8 20.00 4.1201E-01 7 30.00 1.6232E-01 6 40.00 5.4442E-02 5 50.00 1.7735E-02 4 60.00 6.2634E-03 3 70.00 2.5483E-03 2 80.00 1.2087E-03 1 87.50 7.5122E-04 1 92.50 5.6661E-04 2 100.00 4.0306E-04 3 110.00 2.8431E-04 4 120.00 2.2349E-04 5 130.00 1.9155E-04 6 140.00 1.7436E-04 7 150.00 1.6506E-04 8 160.00 1.6014E-04 9 170.00 1.5777E-04 10 180.00 1.5691E-04 Asymptotic AOP values are MUu(inf) = 0.3831 MUd(inf) = 0.9051 MU(inf) = 0.9005 R(inf) = 0.0015 Lu(inf)/Ed(inf) = 0.000362 (1/sr) k(inf) = 0.5481 (1/m) absorp(check) = 0.4936 = 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 1.0248E-01 1.5481E+00 1.6506E+00 3.7682E-02 1.1288E+00 0.3677 0.7291 0.6610 3.3383E-02 1 0.00 0.00 6.0764E-03 1.2164E+00 1.2225E+00 2.5242E-03 1.0936E+00 0.4154 0.8991 0.8925 2.3081E-03 3 3.62 5.00 1.3415E-03 7.7475E-02 7.8816E-02 6.2565E-04 6.8354E-02 0.4664 0.8823 0.8593 9.1530E-03 5 7.23 10.00 7.3864E-04 5.5003E-03 6.2389E-03 3.6057E-04 4.5692E-03 0.4881 0.8307 0.6746 7.8912E-02 7 10.85 15.00 5.0404E-04 8.6571E-04 1.3698E-03 2.4725E-04 5.5207E-04 0.4905 0.6377 0.2225 4.4786E-01 9 14.47 20.00 3.5135E-04 4.2311E-04 7.7445E-04 1.7235E-04 2.2413E-04 0.4905 0.5297 0.0669 7.6898E-01 11 18.08 25.00 2.4475E-04 2.8394E-04 5.2869E-04 1.2001E-04 1.4635E-04 0.4903 0.5154 0.0498 8.2001E-01 13 21.70 30.00 1.7015E-04 1.9685E-04 3.6700E-04 8.3401E-05 1.0120E-04 0.4902 0.5141 0.0485 8.2416E-01 15 25.32 35.00 1.1814E-04 1.3669E-04 2.5483E-04 5.7893E-05 7.0242E-05 0.4900 0.5139 0.0485 8.2418E-01 17 28.93 40.00 8.1998E-05 9.4876E-05 1.7687E-04 4.0173E-05 4.8744E-05 0.4899 0.5138 0.0485 8.2416E-01 19 32.55 45.00 5.6926E-05 6.5855E-05 1.2278E-04 2.7885E-05 3.3827E-05 0.4898 0.5137 0.0484 8.2434E-01 21 36.16 50.00 3.9547E-05 4.5735E-05 8.5281E-05 1.9369E-05 2.3487E-05 0.4898 0.5135 0.0483 8.2470E-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 0.40336 0.54198 0.54129 0.39572 0.55080 0.55116 0.38071 5.000 5.010 5.005 0.18404 0.55006 0.54382 0.16464 0.55395 0.55756 0.14655 10.000 10.010 10.005 0.08577 0.48519 0.43782 0.08296 0.51322 0.55016 0.08055 15.000 15.010 15.005 0.07355 0.23119 0.17315 0.07333 0.29438 0.47405 0.07319 20.000 20.010 20.005 0.07273 0.09121 0.08283 0.07274 0.10505 0.21268 0.07284 25.000 25.010 25.005 0.07300 0.07367 0.07336 0.07301 0.07514 0.08482 0.07313 30.000 30.010 30.005 0.07322 0.07256 0.07287 0.07322 0.07277 0.07068 0.07333 35.000 35.010 35.005 0.07325 0.07276 0.07299 0.07328 0.07283 0.07077 0.07337 40.000 40.010 40.005 0.07319 0.07287 0.07302 0.07321 0.07294 0.07167 0.07330 45.000 45.010 45.005 0.07300 0.07286 0.07293 0.07306 0.07293 0.07230 0.07314 50.000 50.010 50.005 0.07282 0.07275 0.07278 0.07286 0.07282 0.07261 0.07293 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 7.59819E-02 3.53588E-04 6.24883E-03 6.60242E-03 3.13242E-04 0.082241 9 1 10.0 0.0 180.0 4.68840E-02 3.60694E-04 1.76499E-03 2.12568E-03 3.19538E-04 0.037646 9 4 10.0 45.0 135.0 5.15128E-02 3.58398E-04 2.05725E-03 2.41564E-03 3.17504E-04 0.039937 9 7 10.0 90.0 90.0 6.95981E-02 3.55785E-04 4.44880E-03 4.80459E-03 3.15189E-04 0.063921 8 1 20.0 0.0 180.0 3.68267E-02 3.64184E-04 9.03321E-04 1.26750E-03 3.22630E-04 0.024529 8 4 20.0 45.0 135.0 4.09980E-02 3.59167E-04 1.07005E-03 1.42922E-03 3.18186E-04 0.026100 8 7 20.0 90.0 90.0 6.02856E-02 3.55646E-04 2.53594E-03 2.89159E-03 3.15066E-04 0.042065 7 1 30.0 0.0 180.0 3.19307E-02 3.68976E-04 7.68643E-04 1.13762E-03 3.26875E-04 0.024072 7 4 30.0 45.0 135.0 3.54042E-02 3.66465E-04 8.63944E-04 1.23041E-03 3.24650E-04 0.024402 7 7 30.0 90.0 90.0 5.16043E-02 3.59922E-04 1.51958E-03 1.87950E-03 3.18854E-04 0.029447 6 1 40.0 0.0 180.0 3.03083E-02 3.70857E-04 8.54636E-04 1.22549E-03 3.28542E-04 0.028198 6 4 40.0 45.0 135.0 3.31405E-02 3.67363E-04 9.26912E-04 1.29428E-03 3.25446E-04 0.027969 6 7 40.0 90.0 90.0 4.65287E-02 3.59949E-04 1.34486E-03 1.70481E-03 3.18878E-04 0.028904 5 1 50.0 0.0 180.0 3.17773E-02 3.74434E-04 1.35004E-03 1.72448E-03 3.31710E-04 0.042485 5 4 50.0 45.0 135.0 3.38629E-02 3.68478E-04 1.40649E-03 1.77497E-03 3.26434E-04 0.041535 5 7 50.0 90.0 90.0 4.50123E-02 3.60772E-04 1.81834E-03 2.17911E-03 3.19607E-04 0.040396 4 1 60.0 0.0 180.0 3.77201E-02 3.67748E-04 3.14497E-03 3.51272E-03 3.25788E-04 0.083377 4 4 60.0 45.0 135.0 3.85738E-02 3.60975E-04 3.10560E-03 3.46658E-03 3.19787E-04 0.080511 4 7 60.0 90.0 90.0 4.76335E-02 3.57093E-04 3.62664E-03 3.98373E-03 3.16348E-04 0.076136 3 1 70.0 0.0 180.0 5.23369E-02 3.39881E-04 8.68725E-03 9.02713E-03 3.01100E-04 0.165987 3 4 70.0 45.0 135.0 5.08638E-02 3.36834E-04 8.35874E-03 8.69558E-03 2.98400E-04 0.164336 3 7 70.0 90.0 90.0 5.68645E-02 3.32676E-04 9.08974E-03 9.42241E-03 2.94717E-04 0.159849 2 1 80.0 0.0 180.0 8.89212E-02 2.90100E-04 2.15939E-02 2.18840E-02 2.56999E-04 0.242843 2 4 80.0 45.0 135.0 8.23393E-02 2.86467E-04 2.08858E-02 2.11723E-02 2.53780E-04 0.253655 2 7 80.0 90.0 90.0 8.18047E-02 2.82776E-04 2.18731E-02 2.21559E-02 2.50510E-04 0.267382 1 1 87.5 0.0 180.0 1.43769E-01 2.32965E-04 3.80839E-02 3.83168E-02 2.06383E-04 0.264896 1 4 87.5 45.0 135.0 1.29447E-01 2.18864E-04 3.78487E-02 3.80676E-02 1.93891E-04 0.292389 1 7 87.5 90.0 90.0 1.17768E-01 2.38924E-04 3.87357E-02 3.89746E-02 2.11662E-04 0.328916 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 6.602E-03 7.598E-02 9.104E-02 7.837E-02 1.178E-01 5.849E-03 5.707E+00 3.536E-04 3.132E-04 1 0.00 0.00 6.563E-04 1.413E-01 1.402E-03 1.637E-03 2.583E-03 6.001E-04 3.846E+00 3 3.62 5.00 1.844E-04 2.955E-02 2.453E-04 2.735E-04 3.750E-04 2.698E-03 3.393E+00 5 7.23 10.00 1.106E-04 3.344E-03 1.262E-04 1.280E-04 1.337E-04 2.421E-02 3.260E+00 7 10.85 15.00 7.610E-05 3.793E-04 8.536E-05 8.547E-05 8.577E-05 1.378E-01 3.249E+00 9 14.47 20.00 5.299E-05 9.219E-05 5.950E-05 5.951E-05 5.952E-05 2.364E-01 3.252E+00 11 18.08 25.00 3.686E-05 5.077E-05 4.149E-05 4.149E-05 4.149E-05 2.518E-01 3.256E+00 13 21.70 30.00 2.559E-05 3.432E-05 2.886E-05 2.886E-05 2.886E-05 2.529E-01 3.259E+00 15 25.32 35.00 1.775E-05 2.375E-05 2.005E-05 2.005E-05 2.005E-05 2.527E-01 3.262E+00 17 28.93 40.00 1.231E-05 1.647E-05 1.392E-05 1.392E-05 1.392E-05 2.525E-01 3.264E+00 19 32.55 45.00 8.538E-06 1.142E-05 9.669E-06 9.669E-06 9.669E-06 2.524E-01 3.266E+00 21 36.16 50.00 5.928E-06 7.925E-06 6.718E-06 6.718E-06 6.718E-06 2.524E-01 3.267E+00 Waveband 29 of 30 completed in 11.8 sec. * * * * * Output for wavelength band 30 (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 75.3 m at 695.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 690.0 nm to 700.0 nm: Ed(diffuse) = 2.700E-01 Ed(direct) = 8.188E-01 Ed(total) = 1.089E+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 0.0028 0.0000 0.0002 0.5620 3 3.954 5.000 0.5590 0.0028 0.0000 0.0002 0.5620 5 7.908 10.000 0.5590 0.0028 0.0000 0.0002 0.5620 7 11.861 15.000 0.5590 0.0028 0.0000 0.0002 0.5620 9 15.815 20.000 0.5590 0.0028 0.0000 0.0002 0.5620 11 19.769 25.000 0.5590 0.0028 0.0000 0.0002 0.5620 13 23.723 30.000 0.5590 0.0028 0.0000 0.0002 0.5620 15 27.676 35.000 0.5590 0.0028 0.0000 0.0002 0.5620 17 31.630 40.000 0.5590 0.0028 0.0000 0.0002 0.5620 19 35.584 45.000 0.5590 0.0028 0.0000 0.0002 0.5620 21 39.538 50.000 0.5590 0.0028 0.0000 0.0002 0.5620 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 0.1121 0.1159 0.0000 0.2287 3 3.954 5.000 0.0007 0.1121 0.1159 0.0000 0.2287 5 7.908 10.000 0.0007 0.1121 0.1159 0.0000 0.2287 7 11.861 15.000 0.0007 0.1121 0.1159 0.0000 0.2287 9 15.815 20.000 0.0007 0.1121 0.1159 0.0000 0.2287 11 19.769 25.000 0.0007 0.1121 0.1159 0.0000 0.2287 13 23.723 30.000 0.0007 0.1121 0.1159 0.0000 0.2287 15 27.676 35.000 0.0007 0.1121 0.1159 0.0000 0.2287 17 31.630 40.000 0.0007 0.1121 0.1159 0.0000 0.2287 19 35.584 45.000 0.0007 0.1121 0.1159 0.0000 0.2287 21 39.538 50.000 0.0007 0.1121 0.1159 0.0000 0.2287 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 0.00157 0.00020 0.00000 0.00212 3 3.954 5.000 0.00035 0.00157 0.00020 0.00000 0.00212 5 7.908 10.000 0.00035 0.00157 0.00020 0.00000 0.00212 7 11.861 15.000 0.00035 0.00157 0.00020 0.00000 0.00212 9 15.815 20.000 0.00035 0.00157 0.00020 0.00000 0.00212 11 19.769 25.000 0.00035 0.00157 0.00020 0.00000 0.00212 13 23.723 30.000 0.00035 0.00157 0.00020 0.00000 0.00212 15 27.676 35.000 0.00035 0.00157 0.00020 0.00000 0.00212 17 31.630 40.000 0.00035 0.00157 0.00020 0.00000 0.00212 19 35.584 45.000 0.00035 0.00157 0.00020 0.00000 0.00212 21 39.538 50.000 0.00035 0.00157 0.00020 0.00000 0.00212 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 0.5620 0.2287 0.7908 0.2892 0.00212 0.00929 3 3.954 5.000 0.5620 0.2287 0.7908 0.2892 0.00212 0.00929 5 7.908 10.000 0.5620 0.2287 0.7908 0.2892 0.00212 0.00929 7 11.861 15.000 0.5620 0.2287 0.7908 0.2892 0.00212 0.00929 9 15.815 20.000 0.5620 0.2287 0.7908 0.2892 0.00212 0.00929 11 19.769 25.000 0.5620 0.2287 0.7908 0.2892 0.00212 0.00929 13 23.723 30.000 0.5620 0.2287 0.7908 0.2892 0.00212 0.00929 15 27.676 35.000 0.5620 0.2287 0.7908 0.2892 0.00212 0.00929 17 31.630 40.000 0.5620 0.2287 0.7908 0.2892 0.00212 0.00929 19 35.584 45.000 0.5620 0.2287 0.7908 0.2892 0.00212 0.00929 21 39.538 50.000 0.5620 0.2287 0.7908 0.2892 0.00212 0.00929 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 7.6325E-01 8 20.00 3.8139E-01 7 30.00 1.4067E-01 6 40.00 4.4457E-02 5 50.00 1.3912E-02 4 60.00 4.8291E-03 3 70.00 1.9624E-03 2 80.00 9.3487E-04 1 87.50 5.8312E-04 1 92.50 4.4124E-04 2 100.00 3.1489E-04 3 110.00 2.2306E-04 4 120.00 1.7615E-04 5 130.00 1.5155E-04 6 140.00 1.3833E-04 7 150.00 1.3119E-04 8 160.00 1.2743E-04 9 170.00 1.2563E-04 10 180.00 1.2497E-04 Asymptotic AOP values are MUu(inf) = 0.3852 MUd(inf) = 0.9117 MU(inf) = 0.9078 R(inf) = 0.0013 Lu(inf)/Ed(inf) = 0.000312 (1/sr) k(inf) = 0.6192 (1/m) absorp(check) = 0.5621 = 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 9.7763E-02 1.4919E+00 1.5897E+00 3.5910E-02 1.0888E+00 0.3673 0.7298 0.6623 3.2981E-02 1 0.00 0.00 4.0872E-03 1.1718E+00 1.1759E+00 1.6296E-03 1.0545E+00 0.3987 0.8999 0.8954 1.5453E-03 3 3.95 5.00 4.6061E-04 5.0618E-02 5.1079E-02 2.0951E-04 4.4996E-02 0.4548 0.8889 0.8768 4.6561E-03 5 7.91 10.00 2.1022E-04 2.3512E-03 2.5614E-03 1.0333E-04 2.0098E-03 0.4915 0.8548 0.7443 5.1412E-02 7 11.86 15.00 1.3999E-04 2.4918E-04 3.8917E-04 6.9234E-05 1.6259E-04 0.4946 0.6525 0.2399 4.2584E-01 9 15.82 20.00 9.5936E-05 1.1345E-04 2.0939E-04 4.7415E-05 6.0011E-05 0.4942 0.5290 0.0602 7.9011E-01 11 19.77 25.00 6.5727E-05 7.5321E-05 1.4105E-04 3.2453E-05 3.8905E-05 0.4938 0.5165 0.0457 8.3417E-01 13 23.72 30.00 4.4978E-05 5.1449E-05 9.6427E-05 2.2190E-05 2.6514E-05 0.4933 0.5153 0.0448 8.3691E-01 15 27.68 35.00 3.0777E-05 3.5193E-05 6.5970E-05 1.5173E-05 1.8122E-05 0.4930 0.5149 0.0447 8.3727E-01 17 31.63 40.00 2.1076E-05 2.4090E-05 4.5166E-05 1.0384E-05 1.2395E-05 0.4927 0.5145 0.0445 8.3778E-01 19 35.58 45.00 1.4454E-05 1.6510E-05 3.0964E-05 7.1181E-06 8.4892E-06 0.4924 0.5142 0.0443 8.3849E-01 21 39.54 50.00 9.9313E-06 1.1335E-05 2.1266E-05 4.8885E-06 5.8243E-06 0.4922 0.5138 0.0440 8.3932E-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 0.53621 0.61915 0.61887 0.53710 0.62700 0.62714 0.52999 5.000 5.010 5.005 0.27393 0.62911 0.62590 0.24204 0.63102 0.63284 0.21007 10.000 10.010 10.005 0.09490 0.57790 0.53817 0.09082 0.59942 0.62706 0.08758 15.000 15.010 15.005 0.07708 0.27415 0.20322 0.07695 0.34839 0.55018 0.07720 20.000 20.010 20.005 0.07615 0.09320 0.08539 0.07628 0.10645 0.22014 0.07674 25.000 25.010 25.005 0.07624 0.07637 0.07631 0.07639 0.07750 0.08313 0.07682 30.000 30.010 30.005 0.07623 0.07561 0.07590 0.07636 0.07588 0.07340 0.07675 35.000 35.010 35.005 0.07606 0.07564 0.07584 0.07617 0.07583 0.07410 0.07651 40.000 40.010 40.005 0.07581 0.07553 0.07566 0.07585 0.07570 0.07488 0.07616 45.000 45.010 45.005 0.07537 0.07527 0.07532 0.07545 0.07543 0.07530 0.07573 50.000 50.010 50.005 0.07495 0.07494 0.07494 0.07502 0.07508 0.07539 0.07527 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 7.28671E-02 2.18734E-04 6.02455E-03 6.24328E-03 2.00898E-04 0.082679 9 1 10.0 0.0 180.0 4.49620E-02 2.24053E-04 1.69691E-03 1.92097E-03 2.05783E-04 0.037741 9 4 10.0 45.0 135.0 4.94011E-02 2.22342E-04 1.97842E-03 2.20076E-03 2.04211E-04 0.040048 9 7 10.0 90.0 90.0 6.67449E-02 2.20101E-04 4.28615E-03 4.50625E-03 2.02153E-04 0.064217 8 1 20.0 0.0 180.0 3.53170E-02 2.26888E-04 8.66506E-04 1.09339E-03 2.08387E-04 0.024535 8 4 20.0 45.0 135.0 3.93173E-02 2.23255E-04 1.02674E-03 1.25000E-03 2.05050E-04 0.026114 8 7 20.0 90.0 90.0 5.78143E-02 2.20077E-04 2.43949E-03 2.65956E-03 2.02131E-04 0.042195 7 1 30.0 0.0 180.0 3.06217E-02 2.30511E-04 7.37133E-04 9.67644E-04 2.11714E-04 0.024072 7 4 30.0 45.0 135.0 3.39530E-02 2.28231E-04 8.28554E-04 1.05679E-03 2.09620E-04 0.024403 7 7 30.0 90.0 90.0 4.94878E-02 2.22851E-04 1.45876E-03 1.68161E-03 2.04678E-04 0.029477 6 1 40.0 0.0 180.0 2.90658E-02 2.32414E-04 8.19600E-04 1.05201E-03 2.13462E-04 0.028198 6 4 40.0 45.0 135.0 3.17819E-02 2.29373E-04 8.88913E-04 1.11829E-03 2.10669E-04 0.027969 6 7 40.0 90.0 90.0 4.46213E-02 2.23220E-04 1.28983E-03 1.51305E-03 2.05018E-04 0.028906 5 1 50.0 0.0 180.0 3.04746E-02 2.35301E-04 1.29470E-03 1.53000E-03 2.16114E-04 0.042485 5 4 50.0 45.0 135.0 3.24747E-02 2.30643E-04 1.34884E-03 1.57948E-03 2.11835E-04 0.041535 5 7 50.0 90.0 90.0 4.31670E-02 2.24347E-04 1.74379E-03 1.96814E-03 2.06053E-04 0.040396 4 1 60.0 0.0 180.0 3.61738E-02 2.31765E-04 3.01605E-03 3.24781E-03 2.12866E-04 0.083377 4 4 60.0 45.0 135.0 3.69924E-02 2.26569E-04 2.97829E-03 3.20486E-03 2.08094E-04 0.080511 4 7 60.0 90.0 90.0 4.56808E-02 2.22829E-04 3.47797E-03 3.70080E-03 2.04659E-04 0.076136 3 1 70.0 0.0 180.0 5.01914E-02 2.14956E-04 8.33112E-03 8.54608E-03 1.97427E-04 0.165987 3 4 70.0 45.0 135.0 4.87787E-02 2.12211E-04 8.01608E-03 8.22829E-03 1.94906E-04 0.164336 3 7 70.0 90.0 90.0 5.45334E-02 2.08745E-04 8.71711E-03 8.92586E-03 1.91723E-04 0.159849 2 1 80.0 0.0 180.0 8.52759E-02 1.84136E-04 2.07087E-02 2.08928E-02 1.69121E-04 0.242843 2 4 80.0 45.0 135.0 7.89638E-02 1.81208E-04 2.00296E-02 2.02108E-02 1.66431E-04 0.253655 2 7 80.0 90.0 90.0 7.84512E-02 1.78480E-04 2.09764E-02 2.11549E-02 1.63926E-04 0.267382 1 1 87.5 0.0 180.0 1.37875E-01 1.48489E-04 3.65226E-02 3.66711E-02 1.36380E-04 0.264896 1 4 87.5 45.0 135.0 1.24140E-01 1.39091E-04 3.62971E-02 3.64362E-02 1.27749E-04 0.292389 1 7 87.5 90.0 90.0 1.12940E-01 1.51897E-04 3.71477E-02 3.72996E-02 1.39511E-04 0.328916 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 6.243E-03 7.287E-02 8.727E-02 7.512E-02 1.129E-01 5.734E-03 5.752E+00 2.187E-04 2.009E-04 1 0.00 0.00 4.060E-04 1.355E-01 9.930E-04 1.195E-03 2.015E-03 3.850E-04 4.014E+00 3 3.95 5.00 6.128E-05 1.991E-02 8.647E-05 1.024E-04 1.599E-04 1.362E-03 3.419E+00 5 7.91 10.00 3.243E-05 1.561E-03 3.534E-05 3.603E-05 3.822E-05 1.613E-02 3.186E+00 7 11.86 15.00 2.179E-05 1.211E-04 2.328E-05 2.331E-05 2.339E-05 1.340E-01 3.177E+00 9 15.82 20.00 1.488E-05 2.447E-05 1.598E-05 1.598E-05 1.598E-05 2.480E-01 3.186E+00 11 19.77 25.00 1.016E-05 1.352E-05 1.097E-05 1.097E-05 1.097E-05 2.611E-01 3.195E+00 13 23.72 30.00 6.927E-06 9.065E-06 7.519E-06 7.519E-06 7.519E-06 2.613E-01 3.203E+00 15 27.68 35.00 4.727E-06 6.176E-06 5.152E-06 5.152E-06 5.152E-06 2.608E-01 3.210E+00 17 31.63 40.00 3.229E-06 4.215E-06 3.532E-06 3.532E-06 3.532E-06 2.605E-01 3.216E+00 19 35.58 45.00 2.210E-06 2.881E-06 2.424E-06 2.424E-06 2.424E-06 2.603E-01 3.221E+00 21 39.54 50.00 1.515E-06 1.973E-06 1.667E-06 1.667E-06 1.667E-06 2.602E-01 3.226E+00 Waveband 30 of 30 completed in 12.5 sec. Energy Eo as a function of depth and wavelength Units are W/m^2 [values are integrated over the wavelength bands] depth 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 in air 1.852E+01 1.948E+01 1.850E+01 1.888E+01 2.213E+01 2.353E+01 2.333E+01 2.357E+01 2.273E+01 2.297E+01 2.243E+01 2.145E+01 2.186E+01 2.202E+01 2.165E+01 2.143E+01 2.119E+01 2.114E+01 2.055E+01 1.972E+01 2.019E+01 1.968E+01 1.943E+01 1.916E+01 1.853E+01 1.768E+01 1.839E+01 1.803E+01 1.651E+01 1.590E+01 0.0 1.432E+01 1.507E+01 1.432E+01 1.460E+01 1.711E+01 1.827E+01 1.826E+01 1.855E+01 1.792E+01 1.811E+01 1.755E+01 1.652E+01 1.686E+01 1.696E+01 1.660E+01 1.634E+01 1.612E+01 1.597E+01 1.535E+01 1.461E+01 1.488E+01 1.451E+01 1.434E+01 1.415E+01 1.369E+01 1.306E+01 1.358E+01 1.335E+01 1.223E+01 1.176E+01 5.0 1.128E+01 1.189E+01 1.128E+01 1.147E+01 1.342E+01 1.445E+01 1.466E+01 1.505E+01 1.461E+01 1.478E+01 1.403E+01 1.246E+01 1.277E+01 1.275E+01 1.216E+01 1.148E+01 1.109E+01 1.022E+01 8.116E+00 5.559E+00 3.389E+00 3.123E+00 2.825E+00 2.520E+00 2.131E+00 1.565E+00 1.163E+00 1.033E+00 7.882E-01 5.108E-01 10.0 8.525E+00 9.003E+00 8.541E+00 8.647E+00 1.011E+01 1.099E+01 1.133E+01 1.176E+01 1.149E+01 1.164E+01 1.081E+01 9.031E+00 9.302E+00 9.207E+00 8.556E+00 7.738E+00 7.321E+00 6.257E+00 4.098E+00 2.021E+00 7.422E-01 6.465E-01 5.363E-01 4.332E-01 3.212E-01 1.834E-01 1.015E-01 9.194E-02 6.239E-02 2.561E-02 15.0 6.276E+00 6.643E+00 6.299E+00 6.355E+00 7.421E+00 8.148E+00 8.538E+00 8.974E+00 8.821E+00 8.943E+00 8.132E+00 6.386E+00 6.611E+00 6.490E+00 5.875E+00 5.091E+00 4.717E+00 3.742E+00 2.024E+00 7.222E-01 1.628E-01 1.341E-01 1.023E-01 7.530E-02 4.953E-02 2.297E-02 1.220E-02 1.791E-02 1.370E-02 3.892E-03 20.0 4.541E+00 4.816E+00 4.566E+00 4.591E+00 5.356E+00 5.938E+00 6.326E+00 6.728E+00 6.655E+00 6.757E+00 6.012E+00 4.440E+00 4.621E+00 4.499E+00 3.968E+00 3.297E+00 2.991E+00 2.204E+00 9.866E-01 2.572E-01 3.757E-02 2.935E-02 2.078E-02 1.429E-02 8.777E-03 4.014E-03 3.691E-03 9.131E-03 7.745E-03 2.094E-03 25.0 3.247E+00 3.451E+00 3.270E+00 3.277E+00 3.820E+00 4.276E+00 4.630E+00 4.984E+00 4.960E+00 5.042E+00 4.392E+00 3.052E+00 3.192E+00 3.083E+00 2.650E+00 2.111E+00 1.877E+00 1.286E+00 4.779E-01 9.256E-02 1.014E-02 7.591E-03 5.148E-03 3.556E-03 2.323E-03 1.416E-03 2.165E-03 6.125E-03 5.287E-03 1.410E-03 30.0 2.302E+00 2.452E+00 2.322E+00 2.319E+00 2.701E+00 3.053E+00 3.360E+00 3.659E+00 3.664E+00 3.730E+00 3.180E+00 2.080E+00 2.187E+00 2.095E+00 1.756E+00 1.342E+00 1.169E+00 7.452E-01 2.310E-01 3.430E-02 3.731E-03 2.728E-03 1.857E-03 1.396E-03 1.050E-03 8.157E-04 1.463E-03 4.246E-03 3.670E-03 9.643E-04 35.0 1.623E+00 1.732E+00 1.639E+00 1.632E+00 1.899E+00 2.167E+00 2.423E+00 2.670E+00 2.689E+00 2.741E+00 2.288E+00 1.410E+00 1.490E+00 1.416E+00 1.157E+00 8.486E-01 7.244E-01 4.303E-01 1.119E-01 1.346E-02 1.930E-03 1.397E-03 9.821E-04 7.814E-04 6.379E-04 5.380E-04 1.005E-03 2.950E-03 2.548E-03 6.597E-04 40.0 1.140E+00 1.218E+00 1.153E+00 1.143E+00 1.329E+00 1.531E+00 1.740E+00 1.939E+00 1.965E+00 2.006E+00 1.639E+00 9.515E-01 1.010E+00 9.531E-01 7.595E-01 5.348E-01 4.476E-01 2.480E-01 5.454E-02 5.800E-03 1.227E-03 8.782E-04 6.091E-04 5.046E-04 4.229E-04 3.633E-04 6.911E-04 2.049E-03 1.769E-03 4.517E-04 45.0 7.980E-01 8.546E-01 8.081E-01 7.987E-01 9.276E-01 1.079E+00 1.245E+00 1.404E+00 1.431E+00 1.463E+00 1.171E+00 6.404E-01 6.835E-01 6.397E-01 4.972E-01 3.364E-01 2.760E-01 1.428E-01 2.686E-02 2.831E-03 8.464E-04 5.960E-04 4.054E-04 3.390E-04 2.858E-04 2.459E-04 4.752E-04 1.423E-03 1.228E-03 3.096E-04 50.0 5.577E-01 5.983E-01 5.654E-01 5.569E-01 6.460E-01 7.583E-01 8.891E-01 1.014E+00 1.040E+00 1.064E+00 8.340E-01 4.302E-01 4.614E-01 4.285E-01 3.250E-01 2.112E-01 1.701E-01 8.225E-02 1.344E-02 1.574E-03 5.986E-04 4.139E-04 2.752E-04 2.299E-04 1.937E-04 1.664E-04 3.269E-04 9.884E-04 8.528E-04 2.127E-04 Quantum Eo as a function of depth and wavelength Units are (micromol photons)/(m^2 s) [values are integrated over the wavelength bands] depth 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 in air 6.270E+01 6.755E+01 6.573E+01 6.865E+01 8.229E+01 8.950E+01 9.067E+01 9.359E+01 9.213E+01 9.503E+01 9.469E+01 9.235E+01 9.591E+01 9.847E+01 9.860E+01 9.941E+01 1.001E+02 1.016E+02 1.005E+02 9.806E+01 1.021E+02 1.012E+02 1.015E+02 1.017E+02 9.992E+01 9.681E+01 1.022E+02 1.017E+02 9.450E+01 9.234E+01 0.0 4.848E+01 5.228E+01 5.086E+01 5.309E+01 6.363E+01 6.946E+01 7.095E+01 7.363E+01 7.264E+01 7.493E+01 7.408E+01 7.110E+01 7.397E+01 7.585E+01 7.562E+01 7.578E+01 7.613E+01 7.675E+01 7.507E+01 7.265E+01 7.524E+01 7.459E+01 7.489E+01 7.507E+01 7.379E+01 7.149E+01 7.549E+01 7.530E+01 6.999E+01 6.831E+01 5.0 3.818E+01 4.124E+01 4.009E+01 4.169E+01 4.990E+01 5.494E+01 5.696E+01 5.973E+01 5.924E+01 6.115E+01 5.924E+01 5.363E+01 5.604E+01 5.700E+01 5.539E+01 5.325E+01 5.239E+01 4.909E+01 3.968E+01 2.765E+01 1.714E+01 1.605E+01 1.476E+01 1.337E+01 1.149E+01 8.569E+00 6.466E+00 5.829E+00 4.512E+00 2.967E+00 10.0 2.886E+01 3.123E+01 3.034E+01 3.144E+01 3.759E+01 4.178E+01 4.402E+01 4.670E+01 4.659E+01 4.815E+01 4.565E+01 3.887E+01 4.082E+01 4.117E+01 3.897E+01 3.590E+01 3.457E+01 3.007E+01 2.004E+01 1.005E+01 3.753E+00 3.323E+00 2.801E+00 2.299E+00 1.732E+00 1.004E+00 5.642E-01 5.187E-01 3.572E-01 1.488E-01 15.0 2.125E+01 2.304E+01 2.238E+01 2.311E+01 2.760E+01 3.098E+01 3.318E+01 3.563E+01 3.576E+01 3.700E+01 3.432E+01 2.749E+01 2.901E+01 2.902E+01 2.676E+01 2.362E+01 2.227E+01 1.798E+01 9.894E+00 3.592E+00 8.232E-01 6.895E-01 5.344E-01 3.996E-01 2.670E-01 1.257E-01 6.778E-02 1.010E-01 7.842E-02 2.261E-02 20.0 1.537E+01 1.671E+01 1.622E+01 1.669E+01 1.992E+01 2.258E+01 2.459E+01 2.671E+01 2.698E+01 2.795E+01 2.538E+01 1.911E+01 2.028E+01 2.012E+01 1.808E+01 1.529E+01 1.413E+01 1.059E+01 4.824E+00 1.279E+00 1.900E-01 1.509E-01 1.086E-01 7.586E-02 4.732E-02 2.198E-02 2.052E-02 5.151E-02 4.434E-02 1.216E-02 25.0 1.099E+01 1.197E+01 1.161E+01 1.191E+01 1.421E+01 1.626E+01 1.799E+01 1.979E+01 2.011E+01 2.086E+01 1.854E+01 1.314E+01 1.401E+01 1.379E+01 1.207E+01 9.793E+00 8.861E+00 6.179E+00 2.337E+00 4.603E-01 5.130E-02 3.902E-02 2.689E-02 1.887E-02 1.252E-02 7.752E-03 1.204E-02 3.455E-02 3.027E-02 8.193E-03 30.0 7.793E+00 8.504E+00 8.248E+00 8.432E+00 1.005E+01 1.161E+01 1.306E+01 1.453E+01 1.485E+01 1.543E+01 1.342E+01 8.954E+00 9.596E+00 9.370E+00 7.999E+00 6.224E+00 5.519E+00 3.581E+00 1.130E+00 1.706E-01 1.886E-02 1.402E-02 9.703E-03 7.407E-03 5.659E-03 4.466E-03 8.131E-03 2.395E-02 2.101E-02 5.601E-03 35.0 5.494E+00 6.007E+00 5.823E+00 5.932E+00 7.061E+00 8.239E+00 9.416E+00 1.060E+01 1.090E+01 1.134E+01 9.658E+00 6.068E+00 6.536E+00 6.332E+00 5.270E+00 3.936E+00 3.421E+00 2.068E+00 5.472E-01 6.694E-02 9.760E-03 7.183E-03 5.130E-03 4.147E-03 3.439E-03 2.946E-03 5.586E-03 1.664E-02 1.459E-02 3.832E-03 40.0 3.858E+00 4.226E+00 4.094E+00 4.157E+00 4.943E+00 5.822E+00 6.761E+00 7.698E+00 7.966E+00 8.299E+00 6.919E+00 4.096E+00 4.434E+00 4.262E+00 3.460E+00 2.481E+00 2.114E+00 1.192E+00 2.667E-01 2.885E-02 6.207E-03 4.514E-03 3.182E-03 2.678E-03 2.280E-03 1.989E-03 3.841E-03 1.156E-02 1.013E-02 2.624E-03 45.0 2.701E+00 2.964E+00 2.870E+00 2.904E+00 3.450E+00 4.102E+00 4.839E+00 5.573E+00 5.802E+00 6.052E+00 4.941E+00 2.757E+00 2.999E+00 2.860E+00 2.265E+00 1.560E+00 1.304E+00 6.862E-01 1.313E-01 1.408E-02 4.280E-03 3.063E-03 2.118E-03 1.799E-03 1.540E-03 1.346E-03 2.641E-03 8.026E-03 7.030E-03 1.799E-03 50.0 1.888E+00 2.075E+00 2.008E+00 2.025E+00 2.403E+00 2.884E+00 3.455E+00 4.026E+00 4.216E+00 4.403E+00 3.520E+00 1.852E+00 2.024E+00 1.916E+00 1.480E+00 9.799E-01 8.031E-01 3.953E-01 6.569E-02 7.825E-03 3.027E-03 2.128E-03 1.437E-03 1.220E-03 1.044E-03 9.112E-04 1.817E-03 5.576E-03 4.883E-03 1.235E-03 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 2.7814E+03 1.8379E+03 0.00 2.1111E+03 1.7940E+03 5.00 1.1076E+03 8.6816E+02 10.00 7.3930E+02 5.5084E+02 15.00 5.1699E+02 3.7275E+02 20.00 3.6352E+02 2.5622E+02 25.00 2.5511E+02 1.7692E+02 30.00 1.7858E+02 1.2239E+02 35.00 1.2479E+02 8.4775E+01 40.00 8.7124E+01 5.8794E+01 45.00 6.0809E+01 4.0827E+01 50.00 4.2449E+01 2.8387E+01 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 0.18361 5.000 5.010 5.005 0.09343 10.000 10.010 10.005 0.07362 15.000 15.010 15.005 0.07050 20.000 20.010 20.005 0.07057 25.000 25.010 25.005 0.07109 30.000 30.010 30.005 0.07153 35.000 35.010 35.005 0.07180 40.000 40.010 40.005 0.07191 45.000 45.010 45.005 0.07192 50.000 50.010 50.005 0.07184 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 depth Ed Eu Lu Lw in air (0.328, 0.340, 1.023E+05) (0.294, 0.315, 4.123E+03) (0.282, 0.307, 7.857E+02) (0.195, 0.246, 2.142E+02) 0.00 (0.327, 0.339, 9.983E+04) (0.196, 0.251, 1.634E+03) (0.195, 0.246, 3.973E+02) 5.00 (0.251, 0.328, 5.729E+04) (0.179, 0.241, 1.193E+03) (0.178, 0.235, 2.718E+02) 10.00 (0.215, 0.314, 3.595E+04) (0.169, 0.232, 8.524E+02) (0.169, 0.225, 1.868E+02) 15.00 (0.196, 0.301, 2.332E+04) (0.163, 0.224, 6.002E+02) (0.163, 0.217, 1.282E+02) 20.00 (0.184, 0.288, 1.531E+04) (0.158, 0.216, 4.181E+02) (0.159, 0.210, 8.775E+01) 25.00 (0.175, 0.277, 1.012E+04) (0.155, 0.210, 2.892E+02) (0.156, 0.204, 5.999E+01) 30.00 (0.168, 0.267, 6.717E+03) (0.151, 0.204, 1.991E+02) (0.153, 0.199, 4.100E+01) 35.00 (0.162, 0.257, 4.473E+03) (0.149, 0.198, 1.368E+02) (0.150, 0.193, 2.803E+01) 40.00 (0.157, 0.248, 2.988E+03) (0.146, 0.194, 9.395E+01) (0.148, 0.189, 1.918E+01) 45.00 (0.153, 0.240, 2.003E+03) (0.144, 0.189, 6.451E+01) (0.146, 0.185, 1.314E+01) 50.00 (0.149, 0.233, 1.346E+03) (0.142, 0.185, 4.433E+01) (0.144, 0.181, 9.023E+00) The final depth-averaged photopic alpha and K are alpha = 0.3108 1/m and K = 0.0936 1/m The final estimate for the Secchi depth is z_SD = 19.78 m Run completed on 07/20/2011 at 15:20:44.0 Total (wall clock) run time = 222.2 sec