======================================================== | | | HYDROLIGHT Version 5.1.0 (MAIN CODE) | | Copyright (c) 2013 by Curtis D. Mobley | | | | This copy of HE5 is licensed solely to | | U Maine Optics Summer Class 2013 | | | | S/N Maine-500-31Aug2013 | | | | THIS PROGRAM IS EXPERIMENTAL AND IS LICENSED "AS IS" | | WITHOUT REPRESENTATION OF WARRANTY OF ANY KIND, | | EITHER EXPRESS OR IMPLIED. THE ENTIRE RISK AS TO | | THE QUALITY AND PERFORMANCE OF HYDROLIGHT IS WITH | | THE USER. HYDROLIGHT IS NOT FAULT TOLERANT. | | | ======================================================== RUN TITLE: Run1 (07/17/2013 16:41) Run started on 07/17/2013 at 16:41:46.6 The radiance distribution is computed on the following (Theta,Phi,Depth,Wavelength) grid: I Theta Mu J Phi K zeta z L Lambda (deg) (deg) (m) (nm) 1 87.500 0.0436 1 0.00 1 0.000 1 355.00 2 80.000 0.1730 2 15.00 2 0.010 2 365.00 3 70.000 0.3407 3 30.00 3 1.000 3 375.00 4 60.000 0.4981 4 45.00 4 1.010 4 385.00 5 50.000 0.6403 5 60.00 5 2.000 5 395.00 6 40.000 0.7631 6 75.00 6 2.010 6 405.00 7 30.000 0.8627 7 90.00 7 3.000 7 415.00 8 20.000 0.9361 8 105.00 8 3.010 8 425.00 9 10.000 0.9811 9 120.00 9 4.000 9 435.00 10 0.000 0.9981 10 135.00 10 4.010 10 445.00 11 150.00 11 5.000 11 455.00 12 165.00 12 5.010 12 465.00 13 180.00 13 6.000 13 475.00 14 195.00 14 6.010 14 485.00 15 210.00 15 7.000 15 495.00 16 225.00 16 7.010 16 505.00 17 240.00 17 8.000 17 515.00 18 255.00 18 8.010 18 525.00 19 270.00 19 9.000 19 535.00 20 285.00 20 9.010 20 545.00 21 300.00 21 10.000 21 555.00 22 315.00 22 10.010 22 565.00 23 330.00 23 575.00 24 345.00 24 585.00 25 595.00 26 605.00 27 615.00 28 625.00 29 635.00 30 645.00 31 655.00 32 665.00 33 675.00 34 685.00 35 695.00 36 705.00 37 715.00 38 725.00 39 735.00 40 745.00 ***** BEGIN IOP MODEL SPECIFICATIONS ***** The IOP routine "abcase1" is being used: Absorption and scattering coefficients for case 1 water (Gordon and Morel bio-optical models) are used. component 1 is pure water component 2 is pigmented particles component 3 is CDOM that covaries with chlorophyll 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 Absorption for component 2 calculated from the Prieur-Sathyenranath-Morel model 141 records read The chlorophyll concentration is constant with depth with a value of 2.30 (mg/m^3) Scattering for component 2 calculated using a Power Law model b = 0.3000 X^(0.6200) * (550./wavenm)^(1.0000) The phase function for component 2 will be chosen to have a bb/b ratio of 0.0100 Chlorophyll concentrations at the requested output depths depth Chl (m) (mg/m^3) 0.000 2.300 1.000 2.300 2.000 2.300 3.000 2.300 4.000 2.300 5.000 2.300 6.000 2.300 7.000 2.300 8.000 2.300 9.000 2.300 10.000 2.300 ***** END IOP MODEL SPECIFICATIONS ***** ***** BEGIN INELASTIC SCATTER AND INTERNAL SOURCE SPECIFICATIONS ***** Chlorophyll fluorescence is included in this run Chl fluorescent quantum efficiency set to 0.020 CDOM fluorescence is included in this run Raman scattering is included in this run Raman scattering cross-section set to 2.40E-04 m-1 at reference wavelength 488.0 nm ***** END INELASTIC SCATTER AND INTERNAL SOURCE SPECIFICATIONS ***** ***** BEGIN ATMOSPHERIC MODEL SPECIFICATIONS ***** Normalized sky radiances are computed using sky model "HCNRAD" (Harrison and Coombes Normalized RADiances) The cloud fraction is cloud = 0.0 (0 for a clear sky to 1 for a heavy overcast) The sun is placed in quad Q(r,s) = Q( 9, 1) centered at (theta, phi) = (10.000, 0.000) Diffuse and Direct Sky irradiances are computed using the "RADTRANX" (RADTRAN eXtended for 300-1000 nm) model The RADTRAN clear-sky irradiances are adjusted for cloudiness by the model of Kasten and Czeplak The ozone concentration is computed from climatology using Day of Year = 197 latitude = 60.0000 degrees (N is positive) longitude = -68.0000 degrees (E is positive) Binned Monthly Average TOMS v8 Ozone concentrations (in Dobson units) for use in HE5; Sept 2007 Data from 2000-2004 were averaged to give 5-year climatological averages for 5 x 10 deg latitude x longitude regions. For missing data near the poles, the zonal average of the nearest valid latitude band is used. Parameter values used in the RADTRANX model: Solar zenith angle = 10.0 degrees Pressure = 29.9 in. mercury Day of year = 197 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 = 338.6 Dobson units Irradiances are computed just above the sea surface Aerosol optical thickness at 550 nm = 0.261 ***** END ATMOSPHERIC MODEL SPECIFICATIONS ***** ***** BEGIN AIR-WATER SURFACE SPECIFICATIONS ***** The air-water surface is for a wind speed of 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 10.00 m The actual depth at which the infinitely deep bottom boundary condition will be applied will be determined dynamically from the IOPs to insure a good solution at the requested output depths ***** END BOTTOM BOUNDARY SPECIFICATIONS ***** Initialization of Hydrolight Completed in 0.3 sec. * * * * * Output for wavelength band 1 (350.0 to 360.0 nm; nominal wavelength = 355.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 355.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 350.0 nm to 360.0 nm: Ed(diffuse) = 3.099E-01 Ed(direct) = 4.001E-01 Ed(total) = 7.100E-01 Absorption Coefficients of Individual Components at 355.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0176 0.0582 0.0678 0.1435 3 0.935 1.000 0.0176 0.0582 0.0678 0.1435 5 1.870 2.000 0.0176 0.0582 0.0678 0.1435 7 2.806 3.000 0.0176 0.0582 0.0678 0.1435 9 3.741 4.000 0.0176 0.0582 0.0678 0.1435 11 4.676 5.000 0.0176 0.0582 0.0678 0.1435 13 5.611 6.000 0.0176 0.0582 0.0678 0.1435 15 6.547 7.000 0.0176 0.0582 0.0678 0.1435 17 7.482 8.000 0.0176 0.0582 0.0678 0.1435 19 8.417 9.000 0.0176 0.0582 0.0678 0.1435 21 9.352 10.000 0.0176 0.0582 0.0678 0.1435 Scattering Coefficients of Individual Components at 355.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0127 0.7790 0.0000 0.7917 3 0.935 1.000 0.0127 0.7790 0.0000 0.7917 5 1.870 2.000 0.0127 0.7790 0.0000 0.7917 7 2.806 3.000 0.0127 0.7790 0.0000 0.7917 9 3.741 4.000 0.0127 0.7790 0.0000 0.7917 11 4.676 5.000 0.0127 0.7790 0.0000 0.7917 13 5.611 6.000 0.0127 0.7790 0.0000 0.7917 15 6.547 7.000 0.0127 0.7790 0.0000 0.7917 17 7.482 8.000 0.0127 0.7790 0.0000 0.7917 19 8.417 9.000 0.0127 0.7790 0.0000 0.7917 21 9.352 10.000 0.0127 0.7790 0.0000 0.7917 Backscattering Coefficients of Individual Components at 355.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00634 0.00779 0.00000 0.01413 3 0.935 1.000 0.00634 0.00779 0.00000 0.01413 5 1.870 2.000 0.00634 0.00779 0.00000 0.01413 7 2.806 3.000 0.00634 0.00779 0.00000 0.01413 9 3.741 4.000 0.00634 0.00779 0.00000 0.01413 11 4.676 5.000 0.00634 0.00779 0.00000 0.01413 13 5.611 6.000 0.00634 0.00779 0.00000 0.01413 15 6.547 7.000 0.00634 0.00779 0.00000 0.01413 17 7.482 8.000 0.00634 0.00779 0.00000 0.01413 19 8.417 9.000 0.00634 0.00779 0.00000 0.01413 21 9.352 10.000 0.00634 0.00779 0.00000 0.01413 Summary of Inherent Optical Properties at 355.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1435 0.7917 0.9352 0.8465 0.01413 0.01785 3 0.935 1.000 0.1435 0.7917 0.9352 0.8465 0.01413 0.01785 5 1.870 2.000 0.1435 0.7917 0.9352 0.8465 0.01413 0.01785 7 2.806 3.000 0.1435 0.7917 0.9352 0.8465 0.01413 0.01785 9 3.741 4.000 0.1435 0.7917 0.9352 0.8465 0.01413 0.01785 11 4.676 5.000 0.1435 0.7917 0.9352 0.8465 0.01413 0.01785 13 5.611 6.000 0.1435 0.7917 0.9352 0.8465 0.01413 0.01785 15 6.547 7.000 0.1435 0.7917 0.9352 0.8465 0.01413 0.01785 17 7.482 8.000 0.1435 0.7917 0.9352 0.8465 0.01413 0.01785 19 8.417 9.000 0.1435 0.7917 0.9352 0.8465 0.01413 0.01785 21 9.352 10.000 0.1435 0.7917 0.9352 0.8465 0.01413 0.01785 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3472E-01 8 20.00 7.8006E-01 7 30.00 5.8624E-01 6 40.00 4.0479E-01 5 50.00 2.6314E-01 4 60.00 1.6553E-01 3 70.00 1.0367E-01 2 80.00 6.6591E-02 1 87.50 4.8745E-02 1 92.50 3.9360E-02 2 100.00 3.0401E-02 3 110.00 2.2863E-02 4 120.00 1.8180E-02 5 130.00 1.5290E-02 6 140.00 1.3500E-02 7 150.00 1.2399E-02 8 160.00 1.1745E-02 9 170.00 1.1399E-02 10 180.00 1.1276E-02 Asymptotic AOP values are MUu(inf) = 0.3895 MUd(inf) = 0.7343 MU(inf) = 0.6531 R(inf) = 0.0413 Lu(inf)/Ed(inf) = 0.009125 (1/sr) k(inf) = 0.2198 (1/m) absorp(check) = 0.1435 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 355.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.0101E-01 9.8175E-01 1.0828E+00 3.5950E-02 7.0997E-01 0.3559 0.7232 0.6225 5.0636E-02 1 0.00 0.00 5.3916E-02 7.8068E-01 8.3460E-01 2.3550E-02 6.9757E-01 0.4368 0.8935 0.8076 3.3760E-02 3 0.94 1.00 4.7528E-02 6.7244E-01 7.1996E-01 2.0298E-02 5.8281E-01 0.4271 0.8667 0.7813 3.4828E-02 5 1.87 2.00 4.1033E-02 5.7153E-01 6.1256E-01 1.7260E-02 4.8425E-01 0.4206 0.8473 0.7624 3.5643E-02 7 2.81 3.00 3.4959E-02 4.8137E-01 5.1633E-01 1.4544E-02 4.0065E-01 0.4160 0.8323 0.7478 3.6301E-02 9 3.74 4.00 2.9514E-02 4.0276E-01 4.3227E-01 1.2174E-02 3.3035E-01 0.4125 0.8202 0.7360 3.6853E-02 11 4.68 5.00 2.4749E-02 3.3525E-01 3.6000E-01 1.0138E-02 2.7158E-01 0.4096 0.8101 0.7262 3.7328E-02 13 5.61 6.00 2.0641E-02 2.7788E-01 2.9853E-01 8.4060E-03 2.2271E-01 0.4072 0.8014 0.7179 3.7744E-02 15 6.55 7.00 1.7139E-02 2.2952E-01 2.4665E-01 6.9450E-03 1.8223E-01 0.4052 0.7940 0.7106 3.8112E-02 17 7.48 8.00 1.4178E-02 1.8899E-01 2.0316E-01 5.7203E-03 1.4881E-01 0.4035 0.7874 0.7043 3.8440E-02 19 8.42 9.00 1.1690E-02 1.5520E-01 1.6689E-01 4.6987E-03 1.2131E-01 0.4019 0.7816 0.6987 3.8734E-02 21 9.35 10.00 9.6116E-03 1.2715E-01 1.3676E-01 3.8503E-03 9.8735E-02 0.4006 0.7765 0.6938 3.8997E-02 K-functions (units of 1/meter) at 355.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.12323 0.14614 0.14466 0.14175 0.17656 0.17777 0.17147 1.000 1.010 1.005 0.13813 0.15681 0.15558 0.15641 0.18280 0.18375 0.17900 2.000 2.010 2.005 0.15457 0.16772 0.16684 0.16725 0.18756 0.18831 0.18453 3.000 3.010 3.005 0.16527 0.17532 0.17464 0.17486 0.19135 0.19197 0.18883 4.000 4.010 4.005 0.17303 0.18109 0.18054 0.18067 0.19451 0.19504 0.19235 5.000 5.010 5.005 0.17901 0.18572 0.18525 0.18534 0.19721 0.19767 0.19533 6.000 6.010 6.005 0.18386 0.18957 0.18917 0.18923 0.19956 0.19997 0.19791 7.000 7.010 7.005 0.18792 0.19285 0.19251 0.19255 0.20165 0.20201 0.20017 8.000 8.010 8.005 0.19140 0.19571 0.19541 0.19544 0.20350 0.20382 0.20218 9.000 9.010 9.005 0.19443 0.19823 0.19796 0.19799 0.20515 0.20544 0.20397 10.000 10.010 10.005 0.19709 0.20046 0.20022 0.20025 0.20664 0.20690 0.20558 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 355.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 3.28184E-01 3.32271E-03 2.26888E-02 2.60115E-02 4.68008E-03 0.069134 9 1 10.0 0.0 180.0 1.43885E-01 3.37978E-03 1.05478E-02 1.39276E-02 4.76047E-03 0.073307 9 4 10.0 45.0 135.0 1.60793E-01 3.36334E-03 1.20009E-02 1.53642E-02 4.73731E-03 0.074636 9 7 10.0 90.0 90.0 2.24808E-01 3.34862E-03 1.75302E-02 2.08788E-02 4.71659E-03 0.077978 8 1 20.0 0.0 180.0 8.60168E-02 3.40732E-03 4.03008E-03 7.43740E-03 4.79925E-03 0.046852 8 4 20.0 45.0 135.0 9.59850E-02 3.37065E-03 4.98430E-03 8.35494E-03 4.74761E-03 0.051928 8 7 20.0 90.0 90.0 1.34890E-01 3.35425E-03 9.13443E-03 1.24887E-02 4.72451E-03 0.067718 7 1 30.0 0.0 180.0 6.06069E-02 3.45000E-03 1.81433E-03 5.26434E-03 4.85938E-03 0.029936 7 4 30.0 45.0 135.0 6.61859E-02 3.44194E-03 2.15773E-03 5.59967E-03 4.84803E-03 0.032601 7 7 30.0 90.0 90.0 8.70044E-02 3.40365E-03 3.76945E-03 7.17310E-03 4.79410E-03 0.043325 6 1 40.0 0.0 180.0 4.97866E-02 3.47419E-03 1.44419E-03 4.91838E-03 4.89344E-03 0.029008 6 4 40.0 45.0 135.0 5.33057E-02 3.46099E-03 1.57022E-03 5.03122E-03 4.87486E-03 0.029457 6 7 40.0 90.0 90.0 6.54371E-02 3.42047E-03 2.11834E-03 5.53880E-03 4.81777E-03 0.032372 5 1 50.0 0.0 180.0 4.61136E-02 3.52207E-03 1.86222E-03 5.38430E-03 4.96089E-03 0.040383 5 4 50.0 45.0 135.0 4.87041E-02 3.48906E-03 1.96643E-03 5.45549E-03 4.91439E-03 0.040375 5 7 50.0 90.0 90.0 5.70255E-02 3.44678E-03 2.32472E-03 5.77151E-03 4.85484E-03 0.040766 4 1 60.0 0.0 180.0 4.78303E-02 3.47693E-03 3.67113E-03 7.14807E-03 4.89731E-03 0.076753 4 4 60.0 45.0 135.0 4.98985E-02 3.43840E-03 3.78502E-03 7.22342E-03 4.84303E-03 0.075854 4 7 60.0 90.0 90.0 5.64555E-02 3.43108E-03 4.24260E-03 7.67368E-03 4.83272E-03 0.075150 3 1 70.0 0.0 180.0 5.73622E-02 3.23805E-03 9.17940E-03 1.24175E-02 4.56085E-03 0.160025 3 4 70.0 45.0 135.0 5.88783E-02 3.23440E-03 9.39811E-03 1.26325E-02 4.55570E-03 0.159619 3 7 70.0 90.0 90.0 6.42118E-02 3.21747E-03 1.02235E-02 1.34409E-02 4.53185E-03 0.159215 2 1 80.0 0.0 180.0 8.55409E-02 2.78465E-03 2.18063E-02 2.45909E-02 3.92222E-03 0.254922 2 4 80.0 45.0 135.0 8.59536E-02 2.77233E-03 2.26329E-02 2.54052E-02 3.90487E-03 0.263315 2 7 80.0 90.0 90.0 8.93692E-02 2.74996E-03 2.42309E-02 2.69809E-02 3.87336E-03 0.271133 1 1 87.5 0.0 180.0 1.28955E-01 2.25382E-03 3.79966E-02 4.02504E-02 3.17454E-03 0.294649 1 4 87.5 45.0 135.0 1.27411E-01 2.13418E-03 4.05507E-02 4.26849E-02 3.00603E-03 0.318267 1 7 87.5 90.0 90.0 1.27174E-01 2.33361E-03 4.27428E-02 4.50764E-02 3.28692E-03 0.336097 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 355.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 2.601E-02 3.282E-01 8.460E-02 8.613E-02 9.216E-02 3.664E-02 1.382E+00 3.323E-03 4.680E-03 1 0.00 0.00 6.166E-03 2.490E+00 1.207E-02 1.289E-02 1.386E-02 8.839E-03 3.819E+00 3 0.94 1.00 5.174E-03 1.876E+00 1.104E-02 1.208E-02 1.375E-02 8.878E-03 3.923E+00 5 1.87 2.00 4.314E-03 1.408E+00 9.998E-03 1.102E-02 1.268E-02 8.908E-03 4.001E+00 7 2.81 3.00 3.579E-03 1.055E+00 8.788E-03 9.730E-03 1.126E-02 8.933E-03 4.064E+00 9 3.74 4.00 2.958E-03 7.907E-01 7.594E-03 8.431E-03 9.776E-03 8.954E-03 4.116E+00 11 4.68 5.00 2.437E-03 5.932E-01 6.487E-03 7.213E-03 8.369E-03 8.972E-03 4.161E+00 13 5.61 6.00 2.002E-03 4.460E-01 5.497E-03 6.114E-03 7.091E-03 8.988E-03 4.200E+00 15 6.55 7.00 1.640E-03 3.362E-01 4.630E-03 5.147E-03 5.958E-03 9.002E-03 4.234E+00 17 7.48 8.00 1.341E-03 2.543E-01 3.879E-03 4.308E-03 4.975E-03 9.014E-03 4.264E+00 19 8.42 9.00 1.095E-03 1.931E-01 3.237E-03 3.589E-03 4.131E-03 9.025E-03 4.292E+00 21 9.35 10.00 8.921E-04 1.471E-01 2.691E-03 2.978E-03 3.414E-03 9.036E-03 4.316E+00 Waveband 1 of 40 completed in 4.4 sec. * * * * * Output for wavelength band 2 (360.0 to 370.0 nm; nominal wavelength = 365.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 365.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 360.0 nm to 370.0 nm: Ed(diffuse) = 3.389E-01 Ed(direct) = 4.843E-01 Ed(total) = 8.232E-01 Absorption Coefficients of Individual Components at 365.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0132 0.0598 0.0589 0.1319 3 0.901 1.000 0.0132 0.0598 0.0589 0.1319 5 1.802 2.000 0.0132 0.0598 0.0589 0.1319 7 2.702 3.000 0.0132 0.0598 0.0589 0.1319 9 3.603 4.000 0.0132 0.0598 0.0589 0.1319 11 4.504 5.000 0.0132 0.0598 0.0589 0.1319 13 5.405 6.000 0.0132 0.0598 0.0589 0.1319 15 6.305 7.000 0.0132 0.0598 0.0589 0.1319 17 7.206 8.000 0.0132 0.0598 0.0589 0.1319 19 8.107 9.000 0.0132 0.0598 0.0589 0.1319 21 9.008 10.000 0.0132 0.0598 0.0589 0.1319 Scattering Coefficients of Individual Components at 365.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0113 0.7576 0.0000 0.7689 3 0.901 1.000 0.0113 0.7576 0.0000 0.7689 5 1.802 2.000 0.0113 0.7576 0.0000 0.7689 7 2.702 3.000 0.0113 0.7576 0.0000 0.7689 9 3.603 4.000 0.0113 0.7576 0.0000 0.7689 11 4.504 5.000 0.0113 0.7576 0.0000 0.7689 13 5.405 6.000 0.0113 0.7576 0.0000 0.7689 15 6.305 7.000 0.0113 0.7576 0.0000 0.7689 17 7.206 8.000 0.0113 0.7576 0.0000 0.7689 19 8.107 9.000 0.0113 0.7576 0.0000 0.7689 21 9.008 10.000 0.0113 0.7576 0.0000 0.7689 Backscattering Coefficients of Individual Components at 365.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00563 0.00758 0.00000 0.01320 3 0.901 1.000 0.00563 0.00758 0.00000 0.01320 5 1.802 2.000 0.00563 0.00758 0.00000 0.01320 7 2.702 3.000 0.00563 0.00758 0.00000 0.01320 9 3.603 4.000 0.00563 0.00758 0.00000 0.01320 11 4.504 5.000 0.00563 0.00758 0.00000 0.01320 13 5.405 6.000 0.00563 0.00758 0.00000 0.01320 15 6.305 7.000 0.00563 0.00758 0.00000 0.01320 17 7.206 8.000 0.00563 0.00758 0.00000 0.01320 19 8.107 9.000 0.00563 0.00758 0.00000 0.01320 21 9.008 10.000 0.00563 0.00758 0.00000 0.01320 Summary of Inherent Optical Properties at 365.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1319 0.7689 0.9008 0.8536 0.01320 0.01717 3 0.901 1.000 0.1319 0.7689 0.9008 0.8536 0.01320 0.01717 5 1.802 2.000 0.1319 0.7689 0.9008 0.8536 0.01320 0.01717 7 2.702 3.000 0.1319 0.7689 0.9008 0.8536 0.01320 0.01717 9 3.603 4.000 0.1319 0.7689 0.9008 0.8536 0.01320 0.01717 11 4.504 5.000 0.1319 0.7689 0.9008 0.8536 0.01320 0.01717 13 5.405 6.000 0.1319 0.7689 0.9008 0.8536 0.01320 0.01717 15 6.305 7.000 0.1319 0.7689 0.9008 0.8536 0.01320 0.01717 17 7.206 8.000 0.1319 0.7689 0.9008 0.8536 0.01320 0.01717 19 8.107 9.000 0.1319 0.7689 0.9008 0.8536 0.01320 0.01717 21 9.008 10.000 0.1319 0.7689 0.9008 0.8536 0.01320 0.01717 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3679E-01 8 20.00 7.8637E-01 7 30.00 5.9619E-01 6 40.00 4.1604E-01 5 50.00 2.7345E-01 4 60.00 1.7376E-01 3 70.00 1.0969E-01 2 80.00 7.0826E-02 1 87.50 5.1938E-02 1 92.50 4.1931E-02 2 100.00 3.2352E-02 3 110.00 2.4262E-02 4 120.00 1.9213E-02 5 130.00 1.6085E-02 6 140.00 1.4140E-02 7 150.00 1.2941E-02 8 160.00 1.2226E-02 9 170.00 1.1847E-02 10 180.00 1.1713E-02 Asymptotic AOP values are MUu(inf) = 0.3875 MUd(inf) = 0.7301 MU(inf) = 0.6470 R(inf) = 0.0426 Lu(inf)/Ed(inf) = 0.009284 (1/sr) k(inf) = 0.2038 (1/m) absorp(check) = 0.1319 = k(inf)*MU(inf) The CDOM absorption at each wavelength is constant with depth with a value of 0.00 (1/m) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 365.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.1330E-01 1.1214E+00 1.2347E+00 4.1218E-02 8.2321E-01 0.3638 0.7341 0.6334 5.0070E-02 1 0.00 0.00 6.3812E-02 9.0425E-01 9.6806E-01 2.7856E-02 8.0985E-01 0.4365 0.8956 0.8078 3.4397E-02 3 0.90 1.00 5.7061E-02 7.9000E-01 8.4706E-01 2.4369E-02 6.8672E-01 0.4271 0.8693 0.7819 3.5486E-02 5 1.80 2.00 5.0057E-02 6.8186E-01 7.3192E-01 2.1052E-02 5.7938E-01 0.4206 0.8497 0.7628 3.6336E-02 7 2.70 3.00 4.3359E-02 5.8350E-01 6.2686E-01 1.8031E-02 4.8688E-01 0.4158 0.8344 0.7479 3.7033E-02 9 3.60 4.00 3.7226E-02 4.9617E-01 5.3340E-01 1.5343E-02 4.0781E-01 0.4122 0.8219 0.7358 3.7623E-02 11 4.50 5.00 3.1747E-02 4.1981E-01 4.5156E-01 1.2990E-02 3.4064E-01 0.4092 0.8114 0.7256 3.8136E-02 13 5.40 6.00 2.6930E-02 3.5374E-01 3.8067E-01 1.0952E-02 2.8384E-01 0.4067 0.8024 0.7169 3.8586E-02 15 6.31 7.00 2.2744E-02 2.9702E-01 3.1977E-01 9.2010E-03 2.3600E-01 0.4046 0.7946 0.7093 3.8987E-02 17 7.21 8.00 1.9136E-02 2.4865E-01 2.6778E-01 7.7060E-03 1.9586E-01 0.4027 0.7877 0.7026 3.9345E-02 19 8.11 9.00 1.6048E-02 2.0760E-01 2.2365E-01 6.4365E-03 1.6226E-01 0.4011 0.7816 0.6967 3.9667E-02 21 9.01 10.00 1.3419E-02 1.7292E-01 1.8634E-01 5.3632E-03 1.3422E-01 0.3997 0.7762 0.6915 3.9957E-02 K-functions (units of 1/meter) at 365.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.11038 0.13293 0.13144 0.12778 0.16207 0.16329 0.15678 1.000 1.010 1.005 0.12265 0.14183 0.14054 0.14091 0.16770 0.16868 0.16363 2.000 2.010 2.005 0.13821 0.15201 0.15107 0.15114 0.17211 0.17290 0.16881 3.000 3.010 3.005 0.14857 0.15925 0.15852 0.15847 0.17568 0.17634 0.17290 4.000 4.010 4.005 0.15617 0.16483 0.16422 0.16413 0.17868 0.17925 0.17628 5.000 5.010 5.005 0.16209 0.16933 0.16882 0.16872 0.18127 0.18177 0.17917 6.000 6.010 6.005 0.16691 0.17310 0.17266 0.17256 0.18354 0.18398 0.18168 7.000 7.010 7.005 0.17096 0.17634 0.17596 0.17586 0.18556 0.18595 0.18389 8.000 8.010 8.005 0.17445 0.17917 0.17883 0.17874 0.18736 0.18771 0.18586 9.000 9.010 9.005 0.17749 0.18166 0.18136 0.18128 0.18897 0.18929 0.18763 10.000 10.010 10.005 0.18018 0.18388 0.18362 0.18354 0.19043 0.19072 0.18922 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 365.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 3.58946E-01 3.91005E-03 2.69438E-02 3.08539E-02 4.74976E-03 0.075064 9 1 10.0 0.0 180.0 1.57372E-01 3.97649E-03 1.23991E-02 1.63756E-02 4.83046E-03 0.078789 9 4 10.0 45.0 135.0 1.75868E-01 3.95758E-03 1.41326E-02 1.80902E-02 4.80748E-03 0.080359 9 7 10.0 90.0 90.0 2.45862E-01 3.94133E-03 2.07518E-02 2.46931E-02 4.78775E-03 0.084404 8 1 20.0 0.0 180.0 9.40796E-02 4.00970E-03 4.62657E-03 8.63627E-03 4.87080E-03 0.049177 8 4 20.0 45.0 135.0 1.04982E-01 3.96726E-03 5.75495E-03 9.72222E-03 4.81925E-03 0.054818 8 7 20.0 90.0 90.0 1.47534E-01 3.94979E-03 1.06958E-02 1.46456E-02 4.79803E-03 0.072497 7 1 30.0 0.0 180.0 6.62879E-02 4.06135E-03 2.01201E-03 6.07336E-03 4.93354E-03 0.030353 7 4 30.0 45.0 135.0 7.23899E-02 4.05288E-03 2.40905E-03 6.46193E-03 4.92326E-03 0.033279 7 7 30.0 90.0 90.0 9.51598E-02 4.01045E-03 4.29461E-03 8.30506E-03 4.87171E-03 0.045131 6 1 40.0 0.0 180.0 5.44534E-02 4.09262E-03 1.58097E-03 5.67359E-03 4.97153E-03 0.029034 6 4 40.0 45.0 135.0 5.83023E-02 4.07852E-03 1.72058E-03 5.79911E-03 4.95440E-03 0.029511 6 7 40.0 90.0 90.0 7.15709E-02 4.03454E-03 2.33651E-03 6.37105E-03 4.90097E-03 0.032646 5 1 50.0 0.0 180.0 5.04361E-02 4.15187E-03 2.03696E-03 6.18882E-03 5.04350E-03 0.040387 5 4 50.0 45.0 135.0 5.32694E-02 4.11476E-03 2.15075E-03 6.26551E-03 4.99842E-03 0.040375 5 7 50.0 90.0 90.0 6.23708E-02 4.06968E-03 2.54353E-03 6.61320E-03 4.94366E-03 0.040781 4 1 60.0 0.0 180.0 5.23137E-02 4.10147E-03 4.01525E-03 8.11672E-03 4.98228E-03 0.076753 4 4 60.0 45.0 135.0 5.45758E-02 4.05814E-03 4.13981E-03 8.19795E-03 4.92964E-03 0.075854 4 7 60.0 90.0 90.0 6.17473E-02 4.05518E-03 4.64028E-03 8.69546E-03 4.92605E-03 0.075150 3 1 70.0 0.0 180.0 6.27390E-02 3.82230E-03 1.00398E-02 1.38621E-02 4.64316E-03 0.160025 3 4 70.0 45.0 135.0 6.43973E-02 3.82029E-03 1.02790E-02 1.40993E-02 4.64072E-03 0.159619 3 7 70.0 90.0 90.0 7.02308E-02 3.80654E-03 1.11818E-02 1.49883E-02 4.62401E-03 0.159215 2 1 80.0 0.0 180.0 9.35592E-02 3.28894E-03 2.38503E-02 2.71393E-02 3.99526E-03 0.254922 2 4 80.0 45.0 135.0 9.40105E-02 3.27663E-03 2.47544E-02 2.80310E-02 3.98030E-03 0.263315 2 7 80.0 90.0 90.0 9.77463E-02 3.25613E-03 2.65022E-02 2.97583E-02 3.95540E-03 0.271133 1 1 87.5 0.0 180.0 1.41043E-01 2.66310E-03 4.15582E-02 4.42213E-02 3.23501E-03 0.294649 1 4 87.5 45.0 135.0 1.39354E-01 2.52360E-03 4.43517E-02 4.68753E-02 3.06555E-03 0.318267 1 7 87.5 90.0 90.0 1.39095E-01 2.76493E-03 4.67493E-02 4.95143E-02 3.35871E-03 0.336097 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 365.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 3.085E-02 3.589E-01 9.263E-02 9.430E-02 1.009E-01 3.748E-02 1.336E+00 3.910E-03 4.750E-03 1 0.00 0.00 7.256E-03 2.950E+00 1.422E-02 1.523E-02 1.643E-02 8.959E-03 3.839E+00 3 0.90 1.00 6.181E-03 2.260E+00 1.313E-02 1.440E-02 1.646E-02 9.001E-03 3.942E+00 5 1.80 2.00 5.234E-03 1.725E+00 1.208E-02 1.335E-02 1.543E-02 9.034E-03 4.022E+00 7 2.70 3.00 4.412E-03 1.314E+00 1.080E-02 1.200E-02 1.395E-02 9.061E-03 4.087E+00 9 3.60 4.00 3.705E-03 1.001E+00 9.496E-03 1.058E-02 1.233E-02 9.085E-03 4.141E+00 11 4.50 5.00 3.102E-03 7.633E-01 8.257E-03 9.218E-03 1.075E-02 9.105E-03 4.188E+00 13 5.40 6.00 2.590E-03 5.830E-01 7.121E-03 7.954E-03 9.274E-03 9.123E-03 4.229E+00 15 6.31 7.00 2.157E-03 4.464E-01 6.103E-03 6.815E-03 7.935E-03 9.140E-03 4.266E+00 17 7.21 8.00 1.793E-03 3.429E-01 5.203E-03 5.806E-03 6.744E-03 9.154E-03 4.298E+00 19 8.11 9.00 1.487E-03 2.643E-01 4.418E-03 4.922E-03 5.700E-03 9.167E-03 4.327E+00 21 9.01 10.00 1.232E-03 2.044E-01 3.737E-03 4.156E-03 4.795E-03 9.179E-03 4.353E+00 Waveband 2 of 40 completed in 3.7 sec. * * * * * Output for wavelength band 3 (370.0 to 380.0 nm; nominal wavelength = 375.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 375.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 370.0 nm to 380.0 nm: Ed(diffuse) = 3.234E-01 Ed(direct) = 5.029E-01 Ed(total) = 8.263E-01 Absorption Coefficients of Individual Components at 375.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0115 0.0619 0.0512 0.1246 3 0.872 1.000 0.0115 0.0619 0.0512 0.1246 5 1.744 2.000 0.0115 0.0619 0.0512 0.1246 7 2.616 3.000 0.0115 0.0619 0.0512 0.1246 9 3.488 4.000 0.0115 0.0619 0.0512 0.1246 11 4.360 5.000 0.0115 0.0619 0.0512 0.1246 13 5.232 6.000 0.0115 0.0619 0.0512 0.1246 15 6.104 7.000 0.0115 0.0619 0.0512 0.1246 17 6.976 8.000 0.0115 0.0619 0.0512 0.1246 19 7.848 9.000 0.0115 0.0619 0.0512 0.1246 21 8.720 10.000 0.0115 0.0619 0.0512 0.1246 Scattering Coefficients of Individual Components at 375.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0100 0.7374 0.0000 0.7475 3 0.872 1.000 0.0100 0.7374 0.0000 0.7475 5 1.744 2.000 0.0100 0.7374 0.0000 0.7475 7 2.616 3.000 0.0100 0.7374 0.0000 0.7475 9 3.488 4.000 0.0100 0.7374 0.0000 0.7475 11 4.360 5.000 0.0100 0.7374 0.0000 0.7475 13 5.232 6.000 0.0100 0.7374 0.0000 0.7475 15 6.104 7.000 0.0100 0.7374 0.0000 0.7475 17 6.976 8.000 0.0100 0.7374 0.0000 0.7475 19 7.848 9.000 0.0100 0.7374 0.0000 0.7475 21 8.720 10.000 0.0100 0.7374 0.0000 0.7475 Backscattering Coefficients of Individual Components at 375.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00501 0.00737 0.00000 0.01238 3 0.872 1.000 0.00501 0.00737 0.00000 0.01238 5 1.744 2.000 0.00501 0.00737 0.00000 0.01238 7 2.616 3.000 0.00501 0.00737 0.00000 0.01238 9 3.488 4.000 0.00501 0.00737 0.00000 0.01238 11 4.360 5.000 0.00501 0.00737 0.00000 0.01238 13 5.232 6.000 0.00501 0.00737 0.00000 0.01238 15 6.104 7.000 0.00501 0.00737 0.00000 0.01238 17 6.976 8.000 0.00501 0.00737 0.00000 0.01238 19 7.848 9.000 0.00501 0.00737 0.00000 0.01238 21 8.720 10.000 0.00501 0.00737 0.00000 0.01238 Summary of Inherent Optical Properties at 375.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1246 0.7475 0.8720 0.8571 0.01238 0.01656 3 0.872 1.000 0.1246 0.7475 0.8720 0.8571 0.01238 0.01656 5 1.744 2.000 0.1246 0.7475 0.8720 0.8571 0.01238 0.01656 7 2.616 3.000 0.1246 0.7475 0.8720 0.8571 0.01238 0.01656 9 3.488 4.000 0.1246 0.7475 0.8720 0.8571 0.01238 0.01656 11 4.360 5.000 0.1246 0.7475 0.8720 0.8571 0.01238 0.01656 13 5.232 6.000 0.1246 0.7475 0.8720 0.8571 0.01238 0.01656 15 6.104 7.000 0.1246 0.7475 0.8720 0.8571 0.01238 0.01656 17 6.976 8.000 0.1246 0.7475 0.8720 0.8571 0.01238 0.01656 19 7.848 9.000 0.1246 0.7475 0.8720 0.8571 0.01238 0.01656 21 8.720 10.000 0.1246 0.7475 0.8720 0.8571 0.01238 0.01656 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3783E-01 8 20.00 7.8954E-01 7 30.00 6.0121E-01 6 40.00 4.2171E-01 5 50.00 2.7863E-01 4 60.00 1.7785E-01 3 70.00 1.1264E-01 2 80.00 7.2835E-02 1 87.50 5.3402E-02 1 92.50 4.3068E-02 2 100.00 3.3166E-02 3 110.00 2.4791E-02 4 120.00 1.9554E-02 5 130.00 1.6305E-02 6 140.00 1.4283E-02 7 150.00 1.3033E-02 8 160.00 1.2287E-02 9 170.00 1.1891E-02 10 180.00 1.1752E-02 Asymptotic AOP values are MUu(inf) = 0.3857 MUd(inf) = 0.7281 MU(inf) = 0.6448 R(inf) = 0.0428 Lu(inf)/Ed(inf) = 0.009221 (1/sr) k(inf) = 0.1932 (1/m) absorp(check) = 0.1246 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 375.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.1007E-01 1.1116E+00 1.2216E+00 4.0725E-02 8.2628E-01 0.3700 0.7433 0.6430 4.9287E-02 1 0.00 0.00 6.3856E-02 9.0583E-01 9.6968E-01 2.7840E-02 8.1339E-01 0.4360 0.8980 0.8101 3.4227E-02 3 0.87 1.00 5.7634E-02 7.9856E-01 8.5620E-01 2.4592E-02 6.9645E-01 0.4267 0.8721 0.7847 3.5310E-02 5 1.74 2.00 5.1092E-02 6.9613E-01 7.4722E-01 2.1467E-02 5.9353E-01 0.4202 0.8526 0.7656 3.6169E-02 7 2.62 3.00 4.4743E-02 6.0193E-01 6.4667E-01 1.8584E-02 5.0393E-01 0.4154 0.8372 0.7505 3.6879E-02 9 3.49 4.00 3.8845E-02 5.1731E-01 5.5615E-01 1.5989E-02 4.2652E-01 0.4116 0.8245 0.7382 3.7487E-02 11 4.36 5.00 3.3503E-02 4.4243E-01 4.7593E-01 1.3687E-02 3.6004E-01 0.4085 0.8138 0.7277 3.8016E-02 13 5.23 6.00 2.8743E-02 3.7688E-01 4.0562E-01 1.1669E-02 3.0321E-01 0.4060 0.8045 0.7187 3.8484E-02 15 6.10 7.00 2.4552E-02 3.1994E-01 3.4449E-01 9.9130E-03 2.5482E-01 0.4038 0.7965 0.7109 3.8902E-02 17 6.98 8.00 2.0893E-02 2.7080E-01 2.9169E-01 8.3958E-03 2.1376E-01 0.4018 0.7894 0.7040 3.9276E-02 19 7.85 9.00 1.7722E-02 2.2861E-01 2.4633E-01 7.0917E-03 1.7902E-01 0.4002 0.7831 0.6980 3.9614E-02 21 8.72 10.00 1.4990E-02 1.9254E-01 2.0753E-01 5.9759E-03 1.4970E-01 0.3987 0.7775 0.6925 3.9920E-02 K-functions (units of 1/meter) at 375.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.10159 0.12436 0.12286 0.11862 0.15259 0.15379 0.14715 1.000 1.010 1.005 0.11255 0.13222 0.13090 0.13075 0.15778 0.15877 0.15352 2.000 2.010 2.005 0.12745 0.14182 0.14084 0.14052 0.16193 0.16273 0.15842 3.000 3.010 3.005 0.13750 0.14874 0.14796 0.14761 0.16532 0.16599 0.16234 4.000 4.010 4.005 0.14495 0.15412 0.15348 0.15313 0.16819 0.16877 0.16560 5.000 5.010 5.005 0.15078 0.15849 0.15795 0.15762 0.17068 0.17119 0.16840 6.000 6.010 6.005 0.15558 0.16218 0.16172 0.16141 0.17287 0.17333 0.17084 7.000 7.010 7.005 0.15960 0.16535 0.16494 0.16467 0.17482 0.17524 0.17301 8.000 8.010 8.005 0.16307 0.16813 0.16777 0.16753 0.17658 0.17695 0.17495 9.000 9.010 9.005 0.16611 0.17059 0.17027 0.17006 0.17816 0.17849 0.17669 10.000 10.010 10.005 0.16881 0.17279 0.17251 0.17231 0.17959 0.17989 0.17826 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 375.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 3.42494E-01 3.88897E-03 2.75683E-02 3.14573E-02 4.70662E-03 0.080493 9 1 10.0 0.0 180.0 1.50158E-01 3.95446E-03 1.25845E-02 1.65389E-02 4.78588E-03 0.083808 9 4 10.0 45.0 135.0 1.67810E-01 3.93598E-03 1.43644E-02 1.83004E-02 4.76352E-03 0.085599 9 7 10.0 90.0 90.0 2.34576E-01 3.92067E-03 2.11796E-02 2.51003E-02 4.74498E-03 0.090289 8 1 20.0 0.0 180.0 8.97673E-02 3.98808E-03 4.60561E-03 8.59369E-03 4.82657E-03 0.051306 8 4 20.0 45.0 135.0 1.00170E-01 3.94643E-03 5.75630E-03 9.70272E-03 4.77616E-03 0.057465 8 7 20.0 90.0 90.0 1.40772E-01 3.93050E-03 1.08216E-02 1.47521E-02 4.75688E-03 0.076874 7 1 30.0 0.0 180.0 6.32495E-02 4.04051E-03 1.94391E-03 5.98442E-03 4.89003E-03 0.030734 7 4 30.0 45.0 135.0 6.90718E-02 4.03290E-03 2.34149E-03 6.37439E-03 4.88081E-03 0.033899 7 7 30.0 90.0 90.0 9.07980E-02 3.99279E-03 4.24790E-03 8.24069E-03 4.83227E-03 0.046784 6 1 40.0 0.0 180.0 5.19574E-02 4.07378E-03 1.50974E-03 5.58352E-03 4.93029E-03 0.029057 6 4 40.0 45.0 135.0 5.56299E-02 4.06090E-03 1.64449E-03 5.70540E-03 4.91470E-03 0.029561 6 7 40.0 90.0 90.0 6.82904E-02 4.02017E-03 2.24654E-03 6.26671E-03 4.86540E-03 0.032897 5 1 50.0 0.0 180.0 4.81243E-02 4.13503E-03 1.94375E-03 6.07878E-03 5.00442E-03 0.040390 5 4 50.0 45.0 135.0 5.08277E-02 4.09954E-03 2.05217E-03 6.15171E-03 4.96147E-03 0.040375 5 7 50.0 90.0 90.0 5.95119E-02 4.05857E-03 2.42772E-03 6.48630E-03 4.91188E-03 0.040794 4 1 60.0 0.0 180.0 4.99158E-02 4.08716E-03 3.83120E-03 7.91836E-03 4.94648E-03 0.076753 4 4 60.0 45.0 135.0 5.20742E-02 4.04572E-03 3.95006E-03 7.99578E-03 4.89633E-03 0.075854 4 7 60.0 90.0 90.0 5.89171E-02 4.04754E-03 4.42759E-03 8.47513E-03 4.89853E-03 0.075150 3 1 70.0 0.0 180.0 5.98633E-02 3.81127E-03 9.57965E-03 1.33909E-02 4.61259E-03 0.160025 3 4 70.0 45.0 135.0 6.14455E-02 3.81120E-03 9.80789E-03 1.36191E-02 4.61251E-03 0.159619 3 7 70.0 90.0 90.0 6.70116E-02 3.80282E-03 1.06693E-02 1.44721E-02 4.60236E-03 0.159215 2 1 80.0 0.0 180.0 8.92707E-02 3.28118E-03 2.27571E-02 2.60383E-02 3.97104E-03 0.254922 2 4 80.0 45.0 135.0 8.97014E-02 3.27081E-03 2.36197E-02 2.68906E-02 3.95849E-03 0.263315 2 7 80.0 90.0 90.0 9.32659E-02 3.25550E-03 2.52874E-02 2.85429E-02 3.93996E-03 0.271133 1 1 87.5 0.0 180.0 1.34578E-01 2.65801E-03 3.96533E-02 4.23113E-02 3.21685E-03 0.294649 1 4 87.5 45.0 135.0 1.32966E-01 2.52038E-03 4.23188E-02 4.48392E-02 3.05029E-03 0.318267 1 7 87.5 90.0 90.0 1.32719E-01 2.76628E-03 4.46065E-02 4.73728E-02 3.34789E-03 0.336097 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 375.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 3.146E-02 3.425E-01 8.844E-02 9.005E-02 9.635E-02 3.807E-02 1.295E+00 3.889E-03 4.707E-03 1 0.00 0.00 7.216E-03 3.012E+00 1.419E-02 1.525E-02 1.651E-02 8.872E-03 3.858E+00 3 0.87 1.00 6.209E-03 2.336E+00 1.318E-02 1.451E-02 1.665E-02 8.915E-03 3.961E+00 5 1.74 2.00 5.312E-03 1.805E+00 1.225E-02 1.360E-02 1.578E-02 8.949E-03 4.041E+00 7 2.62 3.00 4.524E-03 1.391E+00 1.108E-02 1.236E-02 1.443E-02 8.978E-03 4.108E+00 9 3.49 4.00 3.840E-03 1.072E+00 9.859E-03 1.103E-02 1.291E-02 9.003E-03 4.164E+00 11 4.36 5.00 3.249E-03 8.269E-01 8.673E-03 9.720E-03 1.140E-02 9.025E-03 4.212E+00 13 5.23 6.00 2.742E-03 6.387E-01 7.568E-03 8.489E-03 9.950E-03 9.045E-03 4.255E+00 15 6.10 7.00 2.309E-03 4.945E-01 6.562E-03 7.360E-03 8.616E-03 9.062E-03 4.293E+00 17 6.98 8.00 1.940E-03 3.839E-01 5.661E-03 6.344E-03 7.411E-03 9.078E-03 4.327E+00 19 7.85 9.00 1.628E-03 2.989E-01 4.863E-03 5.443E-03 6.339E-03 9.092E-03 4.357E+00 21 8.72 10.00 1.363E-03 2.336E-01 4.162E-03 4.650E-03 5.397E-03 9.104E-03 4.385E+00 Waveband 3 of 40 completed in 3.5 sec. * * * * * Output for wavelength band 4 (380.0 to 390.0 nm; nominal wavelength = 385.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 385.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 380.0 nm to 390.0 nm: Ed(diffuse) = 2.732E-01 Ed(direct) = 4.583E-01 Ed(total) = 7.315E-01 Absorption Coefficients of Individual Components at 385.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0094 0.0650 0.0445 0.1189 3 0.846 1.000 0.0094 0.0650 0.0445 0.1189 5 1.692 2.000 0.0094 0.0650 0.0445 0.1189 7 2.538 3.000 0.0094 0.0650 0.0445 0.1189 9 3.384 4.000 0.0094 0.0650 0.0445 0.1189 11 4.231 5.000 0.0094 0.0650 0.0445 0.1189 13 5.077 6.000 0.0094 0.0650 0.0445 0.1189 15 5.923 7.000 0.0094 0.0650 0.0445 0.1189 17 6.769 8.000 0.0094 0.0650 0.0445 0.1189 19 7.615 9.000 0.0094 0.0650 0.0445 0.1189 21 8.461 10.000 0.0094 0.0650 0.0445 0.1189 Scattering Coefficients of Individual Components at 385.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0089 0.7183 0.0000 0.7272 3 0.846 1.000 0.0089 0.7183 0.0000 0.7272 5 1.692 2.000 0.0089 0.7183 0.0000 0.7272 7 2.538 3.000 0.0089 0.7183 0.0000 0.7272 9 3.384 4.000 0.0089 0.7183 0.0000 0.7272 11 4.231 5.000 0.0089 0.7183 0.0000 0.7272 13 5.077 6.000 0.0089 0.7183 0.0000 0.7272 15 5.923 7.000 0.0089 0.7183 0.0000 0.7272 17 6.769 8.000 0.0089 0.7183 0.0000 0.7272 19 7.615 9.000 0.0089 0.7183 0.0000 0.7272 21 8.461 10.000 0.0089 0.7183 0.0000 0.7272 Backscattering Coefficients of Individual Components at 385.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00447 0.00718 0.00000 0.01165 3 0.846 1.000 0.00447 0.00718 0.00000 0.01165 5 1.692 2.000 0.00447 0.00718 0.00000 0.01165 7 2.538 3.000 0.00447 0.00718 0.00000 0.01165 9 3.384 4.000 0.00447 0.00718 0.00000 0.01165 11 4.231 5.000 0.00447 0.00718 0.00000 0.01165 13 5.077 6.000 0.00447 0.00718 0.00000 0.01165 15 5.923 7.000 0.00447 0.00718 0.00000 0.01165 17 6.769 8.000 0.00447 0.00718 0.00000 0.01165 19 7.615 9.000 0.00447 0.00718 0.00000 0.01165 21 8.461 10.000 0.00447 0.00718 0.00000 0.01165 Summary of Inherent Optical Properties at 385.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1189 0.7272 0.8461 0.8595 0.01165 0.01602 3 0.846 1.000 0.1189 0.7272 0.8461 0.8595 0.01165 0.01602 5 1.692 2.000 0.1189 0.7272 0.8461 0.8595 0.01165 0.01602 7 2.538 3.000 0.1189 0.7272 0.8461 0.8595 0.01165 0.01602 9 3.384 4.000 0.1189 0.7272 0.8461 0.8595 0.01165 0.01602 11 4.231 5.000 0.1189 0.7272 0.8461 0.8595 0.01165 0.01602 13 5.077 6.000 0.1189 0.7272 0.8461 0.8595 0.01165 0.01602 15 5.923 7.000 0.1189 0.7272 0.8461 0.8595 0.01165 0.01602 17 6.769 8.000 0.1189 0.7272 0.8461 0.8595 0.01165 0.01602 19 7.615 9.000 0.1189 0.7272 0.8461 0.8595 0.01165 0.01602 21 8.461 10.000 0.1189 0.7272 0.8461 0.8595 0.01165 0.01602 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3852E-01 8 20.00 7.9164E-01 7 30.00 6.0453E-01 6 40.00 4.2546E-01 5 50.00 2.8203E-01 4 60.00 1.8051E-01 3 70.00 1.1451E-01 2 80.00 7.4074E-02 1 87.50 5.4271E-02 1 92.50 4.3715E-02 2 100.00 3.3595E-02 3 110.00 2.5031E-02 4 120.00 1.9670E-02 5 130.00 1.6341E-02 6 140.00 1.4268E-02 7 150.00 1.2985E-02 8 160.00 1.2219E-02 9 170.00 1.1813E-02 10 180.00 1.1669E-02 Asymptotic AOP values are MUu(inf) = 0.3839 MUd(inf) = 0.7269 MU(inf) = 0.6439 R(inf) = 0.0427 Lu(inf)/Ed(inf) = 0.009096 (1/sr) k(inf) = 0.1847 (1/m) absorp(check) = 0.1189 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 385.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 9.4442E-02 9.7312E-01 1.0676E+00 3.5468E-02 7.3151E-01 0.3756 0.7517 0.6520 4.8487E-02 1 0.00 0.00 5.5999E-02 8.0023E-01 8.5623E-01 2.4380E-02 7.2042E-01 0.4354 0.9003 0.8129 3.3842E-02 3 0.85 1.00 5.0915E-02 7.1047E-01 7.6138E-01 2.1701E-02 6.2162E-01 0.4262 0.8749 0.7879 3.4910E-02 5 1.69 2.00 4.5512E-02 6.2419E-01 6.6970E-01 1.9101E-02 5.3402E-01 0.4197 0.8555 0.7689 3.5768E-02 7 2.54 3.00 4.0203E-02 5.4416E-01 5.8437E-01 1.6678E-02 4.5713E-01 0.4148 0.8401 0.7537 3.6484E-02 9 3.38 4.00 3.5216E-02 4.7162E-01 5.0684E-01 1.4474E-02 3.9015E-01 0.4110 0.8273 0.7412 3.7099E-02 11 4.23 5.00 3.0648E-02 4.0684E-01 4.3749E-01 1.2501E-02 3.3213E-01 0.4079 0.8164 0.7306 3.7638E-02 13 5.08 6.00 2.6534E-02 3.4959E-01 3.7612E-01 1.0753E-02 2.8210E-01 0.4052 0.8070 0.7214 3.8117E-02 15 5.92 7.00 2.2873E-02 2.9939E-01 3.2226E-01 9.2173E-03 2.3913E-01 0.4030 0.7987 0.7134 3.8545E-02 17 6.77 8.00 1.9643E-02 2.5565E-01 2.7530E-01 7.8772E-03 2.0234E-01 0.4010 0.7915 0.7064 3.8931E-02 19 7.62 9.00 1.6816E-02 2.1774E-01 2.3456E-01 6.7140E-03 1.7093E-01 0.3993 0.7850 0.7001 3.9279E-02 21 8.46 10.00 1.4354E-02 1.8503E-01 1.9939E-01 5.7090E-03 1.4418E-01 0.3977 0.7792 0.6945 3.9596E-02 K-functions (units of 1/meter) at 385.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.09481 0.11761 0.11612 0.11138 0.14507 0.14625 0.13951 1.000 1.010 1.005 0.10459 0.12470 0.12335 0.12272 0.14990 0.15088 0.14548 2.000 2.010 2.005 0.11891 0.13378 0.13277 0.13208 0.15381 0.15462 0.15014 3.000 3.010 3.005 0.12868 0.14040 0.13960 0.13895 0.15704 0.15772 0.15390 4.000 4.010 4.005 0.13598 0.14559 0.14493 0.14433 0.15979 0.16039 0.15705 5.000 5.010 5.005 0.14173 0.14984 0.14927 0.14874 0.16219 0.16271 0.15977 6.000 6.010 6.005 0.14646 0.15344 0.15295 0.15246 0.16431 0.16478 0.16215 7.000 7.010 7.005 0.15045 0.15654 0.15611 0.15568 0.16621 0.16663 0.16427 8.000 8.010 8.005 0.15390 0.15927 0.15889 0.15851 0.16791 0.16829 0.16617 9.000 9.010 9.005 0.15693 0.16170 0.16136 0.16101 0.16946 0.16980 0.16788 10.000 10.010 10.005 0.15962 0.16387 0.16356 0.16326 0.17086 0.17117 0.16943 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 385.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 2.89286E-01 3.39010E-03 2.48167E-02 2.82068E-02 4.63441E-03 0.085786 9 1 10.0 0.0 180.0 1.26831E-01 3.44669E-03 1.12500E-02 1.46967E-02 4.71178E-03 0.088701 9 4 10.0 45.0 135.0 1.41742E-01 3.43085E-03 1.28572E-02 1.62880E-02 4.69012E-03 0.090708 9 7 10.0 90.0 90.0 1.98120E-01 3.41818E-03 1.90249E-02 2.24431E-02 4.67280E-03 0.096027 8 1 20.0 0.0 180.0 7.58216E-02 3.47643E-03 4.04748E-03 7.52391E-03 4.75243E-03 0.053382 8 4 20.0 45.0 135.0 8.46084E-02 3.44057E-03 5.08035E-03 8.52093E-03 4.70342E-03 0.060046 8 7 20.0 90.0 90.0 1.18902E-01 3.42786E-03 9.64776E-03 1.30756E-02 4.68603E-03 0.081140 7 1 30.0 0.0 180.0 5.34234E-02 3.52295E-03 1.66178E-03 5.18473E-03 4.81602E-03 0.031106 7 4 30.0 45.0 135.0 5.83412E-02 3.51696E-03 2.01303E-03 5.52999E-03 4.80784E-03 0.034504 7 7 30.0 90.0 90.0 7.66922E-02 3.48369E-03 3.71160E-03 7.19529E-03 4.76236E-03 0.048396 6 1 40.0 0.0 180.0 4.38856E-02 3.55362E-03 1.27621E-03 4.82983E-03 4.85796E-03 0.029080 6 4 40.0 45.0 135.0 4.69876E-02 3.54332E-03 1.39130E-03 4.93462E-03 4.84387E-03 0.029610 6 7 40.0 90.0 90.0 5.76812E-02 3.51026E-03 1.91164E-03 5.42190E-03 4.79867E-03 0.033142 5 1 50.0 0.0 180.0 4.06480E-02 3.60884E-03 1.64190E-03 5.25075E-03 4.93345E-03 0.040393 5 4 50.0 45.0 135.0 4.29314E-02 3.57906E-03 1.73336E-03 5.31242E-03 4.89274E-03 0.040375 5 7 50.0 90.0 90.0 5.02665E-02 3.54650E-03 2.05121E-03 5.59771E-03 4.84822E-03 0.040807 4 1 60.0 0.0 180.0 4.21612E-02 3.56891E-03 3.23601E-03 6.80492E-03 4.87885E-03 0.076753 4 4 60.0 45.0 135.0 4.39843E-02 3.53414E-03 3.33640E-03 6.87054E-03 4.83133E-03 0.075854 4 7 60.0 90.0 90.0 4.97640E-02 3.53962E-03 3.73974E-03 7.27937E-03 4.83882E-03 0.075150 3 1 70.0 0.0 180.0 5.05633E-02 3.32989E-03 8.09141E-03 1.14213E-02 4.55210E-03 0.160025 3 4 70.0 45.0 135.0 5.18997E-02 3.33141E-03 8.28419E-03 1.16156E-02 4.55418E-03 0.159619 3 7 70.0 90.0 90.0 5.66011E-02 3.32846E-03 9.01174E-03 1.23402E-02 4.55014E-03 0.159215 2 1 80.0 0.0 180.0 7.54022E-02 2.86819E-03 1.92217E-02 2.20899E-02 3.92094E-03 0.254922 2 4 80.0 45.0 135.0 7.57659E-02 2.86069E-03 1.99503E-02 2.28110E-02 3.91069E-03 0.263315 2 7 80.0 90.0 90.0 7.87767E-02 2.85152E-03 2.13589E-02 2.42104E-02 3.89816E-03 0.271133 1 1 87.5 0.0 180.0 1.13671E-01 2.32450E-03 3.34930E-02 3.58175E-02 3.17769E-03 0.294649 1 4 87.5 45.0 135.0 1.12310E-01 2.20546E-03 3.57444E-02 3.79499E-02 3.01496E-03 0.318267 1 7 87.5 90.0 90.0 1.12101E-01 2.42465E-03 3.76767E-02 4.01013E-02 3.31460E-03 0.336097 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 385.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 2.821E-02 2.893E-01 7.474E-02 7.610E-02 8.142E-02 3.856E-02 1.257E+00 3.390E-03 4.634E-03 1 0.00 0.00 6.291E-03 2.707E+00 1.241E-02 1.338E-02 1.454E-02 8.732E-03 3.876E+00 3 0.85 1.00 5.455E-03 2.121E+00 1.159E-02 1.280E-02 1.474E-02 8.775E-03 3.978E+00 5 1.69 2.00 4.705E-03 1.655E+00 1.086E-02 1.209E-02 1.409E-02 8.811E-03 4.060E+00 7 2.54 3.00 4.041E-03 1.289E+00 9.913E-03 1.109E-02 1.301E-02 8.841E-03 4.127E+00 9 3.38 4.00 3.459E-03 1.003E+00 8.902E-03 9.995E-03 1.176E-02 8.867E-03 4.184E+00 11 4.23 5.00 2.952E-03 7.808E-01 7.905E-03 8.892E-03 1.047E-02 8.889E-03 4.234E+00 13 5.08 6.00 2.513E-03 6.088E-01 6.963E-03 7.840E-03 9.235E-03 8.910E-03 4.278E+00 15 5.92 7.00 2.135E-03 4.756E-01 6.094E-03 6.862E-03 8.075E-03 8.928E-03 4.317E+00 17 6.77 8.00 1.810E-03 3.725E-01 5.307E-03 5.972E-03 7.013E-03 8.944E-03 4.352E+00 19 7.62 9.00 1.531E-03 2.926E-01 4.602E-03 5.173E-03 6.058E-03 8.959E-03 4.384E+00 21 8.46 10.00 1.294E-03 2.306E-01 3.976E-03 4.462E-03 5.207E-03 8.973E-03 4.413E+00 Waveband 4 of 40 completed in 3.4 sec. * * * * * Output for wavelength band 5 (390.0 to 400.0 nm; nominal wavelength = 395.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 395.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 390.0 nm to 400.0 nm: Ed(diffuse) = 3.240E-01 Ed(direct) = 5.826E-01 Ed(total) = 9.066E-01 Absorption Coefficients of Individual Components at 395.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0081 0.0691 0.0387 0.1159 3 0.824 1.000 0.0081 0.0691 0.0387 0.1159 5 1.648 2.000 0.0081 0.0691 0.0387 0.1159 7 2.472 3.000 0.0081 0.0691 0.0387 0.1159 9 3.296 4.000 0.0081 0.0691 0.0387 0.1159 11 4.120 5.000 0.0081 0.0691 0.0387 0.1159 13 4.944 6.000 0.0081 0.0691 0.0387 0.1159 15 5.768 7.000 0.0081 0.0691 0.0387 0.1159 17 6.592 8.000 0.0081 0.0691 0.0387 0.1159 19 7.416 9.000 0.0081 0.0691 0.0387 0.1159 21 8.240 10.000 0.0081 0.0691 0.0387 0.1159 Scattering Coefficients of Individual Components at 395.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0080 0.7001 0.0000 0.7081 3 0.824 1.000 0.0080 0.7001 0.0000 0.7081 5 1.648 2.000 0.0080 0.7001 0.0000 0.7081 7 2.472 3.000 0.0080 0.7001 0.0000 0.7081 9 3.296 4.000 0.0080 0.7001 0.0000 0.7081 11 4.120 5.000 0.0080 0.7001 0.0000 0.7081 13 4.944 6.000 0.0080 0.7001 0.0000 0.7081 15 5.768 7.000 0.0080 0.7001 0.0000 0.7081 17 6.592 8.000 0.0080 0.7001 0.0000 0.7081 19 7.416 9.000 0.0080 0.7001 0.0000 0.7081 21 8.240 10.000 0.0080 0.7001 0.0000 0.7081 Backscattering Coefficients of Individual Components at 395.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00400 0.00700 0.00000 0.01100 3 0.824 1.000 0.00400 0.00700 0.00000 0.01100 5 1.648 2.000 0.00400 0.00700 0.00000 0.01100 7 2.472 3.000 0.00400 0.00700 0.00000 0.01100 9 3.296 4.000 0.00400 0.00700 0.00000 0.01100 11 4.120 5.000 0.00400 0.00700 0.00000 0.01100 13 4.944 6.000 0.00400 0.00700 0.00000 0.01100 15 5.768 7.000 0.00400 0.00700 0.00000 0.01100 17 6.592 8.000 0.00400 0.00700 0.00000 0.01100 19 7.416 9.000 0.00400 0.00700 0.00000 0.01100 21 8.240 10.000 0.00400 0.00700 0.00000 0.01100 Summary of Inherent Optical Properties at 395.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1159 0.7081 0.8240 0.8593 0.01100 0.01553 3 0.824 1.000 0.1159 0.7081 0.8240 0.8593 0.01100 0.01553 5 1.648 2.000 0.1159 0.7081 0.8240 0.8593 0.01100 0.01553 7 2.472 3.000 0.1159 0.7081 0.8240 0.8593 0.01100 0.01553 9 3.296 4.000 0.1159 0.7081 0.8240 0.8593 0.01100 0.01553 11 4.120 5.000 0.1159 0.7081 0.8240 0.8593 0.01100 0.01553 13 4.944 6.000 0.1159 0.7081 0.8240 0.8593 0.01100 0.01553 15 5.768 7.000 0.1159 0.7081 0.8240 0.8593 0.01100 0.01553 17 6.592 8.000 0.1159 0.7081 0.8240 0.8593 0.01100 0.01553 19 7.416 9.000 0.1159 0.7081 0.8240 0.8593 0.01100 0.01553 21 8.240 10.000 0.1159 0.7081 0.8240 0.8593 0.01100 0.01553 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3848E-01 8 20.00 7.9148E-01 7 30.00 6.0421E-01 6 40.00 4.2499E-01 5 50.00 2.8145E-01 4 60.00 1.7988E-01 3 70.00 1.1388E-01 2 80.00 7.3476E-02 1 87.50 5.3705E-02 1 92.50 4.3172E-02 2 100.00 3.3085E-02 3 110.00 2.4558E-02 4 120.00 1.9226E-02 5 130.00 1.5919E-02 6 140.00 1.3861E-02 7 150.00 1.2589E-02 8 160.00 1.1829E-02 9 170.00 1.1426E-02 10 180.00 1.1284E-02 Asymptotic AOP values are MUu(inf) = 0.3822 MUd(inf) = 0.7275 MU(inf) = 0.6459 R(inf) = 0.0417 Lu(inf)/Ed(inf) = 0.008806 (1/sr) k(inf) = 0.1795 (1/m) absorp(check) = 0.1159 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 395.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.1342E-01 1.1940E+00 1.3074E+00 4.3154E-02 9.0664E-01 0.3805 0.7593 0.6605 4.7597E-02 1 0.00 0.00 6.7966E-02 9.8925E-01 1.0572E+00 2.9550E-02 8.9304E-01 0.4348 0.9027 0.8168 3.3090E-02 3 0.82 1.00 6.2044E-02 8.8182E-01 9.4386E-01 2.6414E-02 7.7416E-01 0.4257 0.8779 0.7922 3.4119E-02 5 1.65 2.00 5.5717E-02 7.7827E-01 8.3398E-01 2.3357E-02 6.6829E-01 0.4192 0.8587 0.7733 3.4950E-02 7 2.47 3.00 4.9465E-02 6.8179E-01 7.3125E-01 2.0494E-02 5.7494E-01 0.4143 0.8433 0.7582 3.5646E-02 9 3.30 4.00 4.3553E-02 5.9390E-01 6.3745E-01 1.7877E-02 4.9321E-01 0.4105 0.8305 0.7457 3.6246E-02 11 4.12 5.00 3.8105E-02 5.1499E-01 5.5309E-01 1.5520E-02 4.2205E-01 0.4073 0.8195 0.7350 3.6772E-02 13 4.94 6.00 3.3168E-02 4.4486E-01 4.7803E-01 1.3420E-02 3.6036E-01 0.4046 0.8100 0.7258 3.7240E-02 15 5.77 7.00 2.8748E-02 3.8303E-01 4.1178E-01 1.1565E-02 3.0709E-01 0.4023 0.8017 0.7177 3.7659E-02 17 6.59 8.00 2.4825E-02 3.2885E-01 3.5368E-01 9.9363E-03 2.6123E-01 0.4003 0.7944 0.7105 3.8036E-02 19 7.42 9.00 2.1369E-02 2.8162E-01 3.0299E-01 8.5149E-03 2.2187E-01 0.3985 0.7878 0.7042 3.8378E-02 21 8.24 10.00 1.8342E-02 2.4063E-01 2.5897E-01 7.2797E-03 1.8816E-01 0.3969 0.7820 0.6985 3.8689E-02 K-functions (units of 1/meter) at 395.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.09083 0.11364 0.11217 0.10742 0.14055 0.14169 0.13533 1.000 1.010 1.005 0.10019 0.12037 0.11904 0.11826 0.14513 0.14608 0.14100 2.000 2.010 2.005 0.11406 0.12905 0.12805 0.12729 0.14888 0.14966 0.14547 3.000 3.010 3.005 0.12359 0.13543 0.13463 0.13396 0.15198 0.15265 0.14909 4.000 4.010 4.005 0.13073 0.14046 0.13979 0.13921 0.15464 0.15522 0.15213 5.000 5.010 5.005 0.13639 0.14460 0.14403 0.14352 0.15697 0.15748 0.15477 6.000 6.010 6.005 0.14104 0.14811 0.14762 0.14718 0.15904 0.15950 0.15709 7.000 7.010 7.005 0.14498 0.15115 0.15072 0.15034 0.16089 0.16130 0.15915 8.000 8.010 8.005 0.14840 0.15384 0.15346 0.15313 0.16256 0.16293 0.16100 9.000 9.010 9.005 0.15139 0.15622 0.15588 0.15560 0.16408 0.16442 0.16268 10.000 10.010 10.005 0.15406 0.15836 0.15806 0.15782 0.16546 0.16576 0.16420 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 395.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 3.43145E-01 4.09681E-03 3.12121E-02 3.53090E-02 4.51867E-03 0.090959 9 1 10.0 0.0 180.0 1.50444E-01 4.16443E-03 1.40640E-02 1.82285E-02 4.59324E-03 0.093484 9 4 10.0 45.0 135.0 1.68134E-01 4.14557E-03 1.60906E-02 2.02362E-02 4.57244E-03 0.095701 9 7 10.0 90.0 90.0 2.34990E-01 4.13097E-03 2.38834E-02 2.80143E-02 4.55634E-03 0.101636 8 1 20.0 0.0 180.0 8.99381E-02 4.20032E-03 4.98346E-03 9.18378E-03 4.63282E-03 0.055410 8 4 20.0 45.0 135.0 1.00361E-01 4.15747E-03 6.27930E-03 1.04368E-02 4.58556E-03 0.062567 8 7 20.0 90.0 90.0 1.41040E-01 4.14331E-03 1.20321E-02 1.61754E-02 4.56995E-03 0.085310 7 1 30.0 0.0 180.0 6.33698E-02 4.25674E-03 1.99420E-03 6.25094E-03 4.69506E-03 0.031469 7 4 30.0 45.0 135.0 6.92032E-02 4.25018E-03 2.42873E-03 6.67891E-03 4.68783E-03 0.035096 7 7 30.0 90.0 90.0 9.09708E-02 4.21173E-03 4.54594E-03 8.75767E-03 4.64541E-03 0.049971 6 1 40.0 0.0 180.0 5.20563E-02 4.29453E-03 1.51499E-03 5.80952E-03 4.73675E-03 0.029103 6 4 40.0 45.0 135.0 5.57358E-02 4.28303E-03 1.65298E-03 5.93601E-03 4.72405E-03 0.029658 6 7 40.0 90.0 90.0 6.84203E-02 4.24556E-03 2.28391E-03 6.52947E-03 4.68273E-03 0.033381 5 1 50.0 0.0 180.0 4.82158E-02 4.36224E-03 1.94774E-03 6.30999E-03 4.81143E-03 0.040396 5 4 50.0 45.0 135.0 5.09244E-02 4.32744E-03 2.05607E-03 6.38352E-03 4.77305E-03 0.040375 5 7 50.0 90.0 90.0 5.96251E-02 4.29127E-03 2.43386E-03 6.72513E-03 4.73315E-03 0.040819 4 1 60.0 0.0 180.0 5.00108E-02 4.31506E-03 3.83849E-03 8.15355E-03 4.75938E-03 0.076753 4 4 60.0 45.0 135.0 5.21733E-02 4.27444E-03 3.95757E-03 8.23201E-03 4.71459E-03 0.075854 4 7 60.0 90.0 90.0 5.90291E-02 4.28493E-03 4.43601E-03 8.72094E-03 4.72615E-03 0.075150 3 1 70.0 0.0 180.0 5.99772E-02 4.02735E-03 9.59787E-03 1.36252E-02 4.44204E-03 0.160025 3 4 70.0 45.0 135.0 6.15624E-02 4.03076E-03 9.82655E-03 1.38573E-02 4.44581E-03 0.159619 3 7 70.0 90.0 90.0 6.71391E-02 4.03152E-03 1.06895E-02 1.47211E-02 4.44664E-03 0.159215 2 1 80.0 0.0 180.0 8.94406E-02 3.46999E-03 2.28004E-02 2.62704E-02 3.82730E-03 0.254922 2 4 80.0 45.0 135.0 8.98721E-02 3.46247E-03 2.36647E-02 2.71272E-02 3.81901E-03 0.263315 2 7 80.0 90.0 90.0 9.34434E-02 3.45558E-03 2.53355E-02 2.87911E-02 3.81140E-03 0.271133 1 1 87.5 0.0 180.0 1.34834E-01 2.81308E-03 3.97288E-02 4.25418E-02 3.10275E-03 0.294649 1 4 87.5 45.0 135.0 1.33219E-01 2.67034E-03 4.23993E-02 4.50697E-02 2.94531E-03 0.318267 1 7 87.5 90.0 90.0 1.32972E-01 2.93973E-03 4.46914E-02 4.76311E-02 3.24244E-03 0.336097 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 395.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 3.531E-02 3.431E-01 8.869E-02 9.030E-02 9.662E-02 3.894E-02 1.222E+00 4.097E-03 4.519E-03 1 0.00 0.00 7.602E-03 3.400E+00 1.504E-02 1.625E-02 1.773E-02 8.512E-03 3.887E+00 3 0.82 1.00 6.621E-03 2.682E+00 1.410E-02 1.561E-02 1.804E-02 8.552E-03 3.990E+00 5 1.65 2.00 5.737E-03 2.108E+00 1.327E-02 1.481E-02 1.733E-02 8.584E-03 4.071E+00 7 2.47 3.00 4.951E-03 1.653E+00 1.217E-02 1.366E-02 1.608E-02 8.611E-03 4.139E+00 9 3.30 4.00 4.259E-03 1.295E+00 1.099E-02 1.237E-02 1.461E-02 8.635E-03 4.198E+00 11 4.12 5.00 3.653E-03 1.015E+00 9.810E-03 1.107E-02 1.310E-02 8.655E-03 4.249E+00 13 4.94 6.00 3.125E-03 7.965E-01 8.689E-03 9.817E-03 1.161E-02 8.673E-03 4.294E+00 15 5.77 7.00 2.668E-03 6.261E-01 7.648E-03 8.643E-03 1.022E-02 8.689E-03 4.334E+00 17 6.59 8.00 2.274E-03 4.933E-01 6.698E-03 7.565E-03 8.926E-03 8.703E-03 4.370E+00 19 7.42 9.00 1.934E-03 3.898E-01 5.841E-03 6.590E-03 7.756E-03 8.716E-03 4.403E+00 21 8.24 10.00 1.642E-03 3.088E-01 5.075E-03 5.717E-03 6.707E-03 8.728E-03 4.433E+00 Waveband 5 of 40 completed in 3.3 sec. * * * * * Output for wavelength band 6 (400.0 to 410.0 nm; nominal wavelength = 405.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 405.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 400.0 nm to 410.0 nm: Ed(diffuse) = 4.403E-01 Ed(direct) = 8.391E-01 Ed(total) = 1.279E+00 Absorption Coefficients of Individual Components at 405.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0053 0.0804 0.0337 0.1194 3 0.809 1.000 0.0053 0.0804 0.0337 0.1194 5 1.619 2.000 0.0053 0.0804 0.0337 0.1194 7 2.428 3.000 0.0053 0.0804 0.0337 0.1194 9 3.237 4.000 0.0053 0.0804 0.0337 0.1194 11 4.047 5.000 0.0053 0.0804 0.0337 0.1194 13 4.856 6.000 0.0053 0.0804 0.0337 0.1194 15 5.666 7.000 0.0053 0.0804 0.0337 0.1194 17 6.475 8.000 0.0053 0.0804 0.0337 0.1194 19 7.284 9.000 0.0053 0.0804 0.0337 0.1194 21 8.094 10.000 0.0053 0.0804 0.0337 0.1194 Scattering Coefficients of Individual Components at 405.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0072 0.6828 0.0000 0.6900 3 0.809 1.000 0.0072 0.6828 0.0000 0.6900 5 1.619 2.000 0.0072 0.6828 0.0000 0.6900 7 2.428 3.000 0.0072 0.6828 0.0000 0.6900 9 3.237 4.000 0.0072 0.6828 0.0000 0.6900 11 4.047 5.000 0.0072 0.6828 0.0000 0.6900 13 4.856 6.000 0.0072 0.6828 0.0000 0.6900 15 5.666 7.000 0.0072 0.6828 0.0000 0.6900 17 6.475 8.000 0.0072 0.6828 0.0000 0.6900 19 7.284 9.000 0.0072 0.6828 0.0000 0.6900 21 8.094 10.000 0.0072 0.6828 0.0000 0.6900 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 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00359 0.00683 0.00000 0.01042 3 0.809 1.000 0.00359 0.00683 0.00000 0.01042 5 1.619 2.000 0.00359 0.00683 0.00000 0.01042 7 2.428 3.000 0.00359 0.00683 0.00000 0.01042 9 3.237 4.000 0.00359 0.00683 0.00000 0.01042 11 4.047 5.000 0.00359 0.00683 0.00000 0.01042 13 4.856 6.000 0.00359 0.00683 0.00000 0.01042 15 5.666 7.000 0.00359 0.00683 0.00000 0.01042 17 6.475 8.000 0.00359 0.00683 0.00000 0.01042 19 7.284 9.000 0.00359 0.00683 0.00000 0.01042 21 8.094 10.000 0.00359 0.00683 0.00000 0.01042 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 0.1194 0.6900 0.8094 0.8525 0.01042 0.01510 3 0.809 1.000 0.1194 0.6900 0.8094 0.8525 0.01042 0.01510 5 1.619 2.000 0.1194 0.6900 0.8094 0.8525 0.01042 0.01510 7 2.428 3.000 0.1194 0.6900 0.8094 0.8525 0.01042 0.01510 9 3.237 4.000 0.1194 0.6900 0.8094 0.8525 0.01042 0.01510 11 4.047 5.000 0.1194 0.6900 0.8094 0.8525 0.01042 0.01510 13 4.856 6.000 0.1194 0.6900 0.8094 0.8525 0.01042 0.01510 15 5.666 7.000 0.1194 0.6900 0.8094 0.8525 0.01042 0.01510 17 6.475 8.000 0.1194 0.6900 0.8094 0.8525 0.01042 0.01510 19 7.284 9.000 0.1194 0.6900 0.8094 0.8525 0.01042 0.01510 21 8.094 10.000 0.1194 0.6900 0.8094 0.8525 0.01042 0.01510 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3649E-01 8 20.00 7.8534E-01 7 30.00 5.9430E-01 6 40.00 4.1343E-01 5 50.00 2.7045E-01 4 60.00 1.7068E-01 3 70.00 1.0675E-01 2 80.00 6.8131E-02 1 87.50 4.9442E-02 1 92.50 3.9570E-02 2 100.00 3.0163E-02 3 110.00 2.2261E-02 4 120.00 1.7355E-02 5 130.00 1.4330E-02 6 140.00 1.2457E-02 7 150.00 1.1304E-02 8 160.00 1.0618E-02 9 170.00 1.0254E-02 10 180.00 1.0126E-02 Asymptotic AOP values are MUu(inf) = 0.3802 MUd(inf) = 0.7326 MU(inf) = 0.6559 R(inf) = 0.0384 Lu(inf)/Ed(inf) = 0.008074 (1/sr) k(inf) = 0.1820 (1/m) absorp(check) = 0.1194 = 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 1.5389E-01 1.6706E+00 1.8245E+00 5.8953E-02 1.2793E+00 0.3831 0.7658 0.6689 4.6082E-02 1 0.00 0.00 8.9216E-02 1.3889E+00 1.4781E+00 3.8681E-02 1.2590E+00 0.4336 0.9065 0.8256 3.0723E-02 3 0.81 1.00 8.1234E-02 1.2342E+00 1.3154E+00 3.4478E-02 1.0887E+00 0.4244 0.8821 0.8014 3.1669E-02 5 1.62 2.00 7.2747E-02 1.0860E+00 1.1587E+00 3.0402E-02 9.3753E-01 0.4179 0.8633 0.7829 3.2428E-02 7 2.43 3.00 6.4406E-02 9.4866E-01 1.0131E+00 2.6603E-02 8.0465E-01 0.4131 0.8482 0.7680 3.3062E-02 9 3.24 4.00 5.6558E-02 8.2413E-01 8.8069E-01 2.3143E-02 6.8864E-01 0.4092 0.8356 0.7557 3.3607E-02 11 4.05 5.00 4.9355E-02 7.1276E-01 7.6211E-01 2.0039E-02 5.8791E-01 0.4060 0.8248 0.7451 3.4085E-02 13 4.86 6.00 4.2852E-02 6.1413E-01 6.5699E-01 1.7284E-02 5.0083E-01 0.4033 0.8155 0.7360 3.4510E-02 15 5.67 7.00 3.7048E-02 5.2746E-01 5.6451E-01 1.4857E-02 4.2582E-01 0.4010 0.8073 0.7280 3.4890E-02 17 6.47 8.00 3.1915E-02 4.5176E-01 4.8367E-01 1.2734E-02 3.6141E-01 0.3990 0.8000 0.7209 3.5233E-02 19 7.28 9.00 2.7406E-02 3.8595E-01 4.1336E-01 1.0885E-02 3.0626E-01 0.3972 0.7935 0.7146 3.5543E-02 21 8.09 10.00 2.3468E-02 3.2900E-01 3.5247E-01 9.2840E-03 2.5915E-01 0.3956 0.7877 0.7089 3.5824E-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 0.09208 0.11606 0.11461 0.10997 0.14306 0.14410 0.13822 1.000 1.010 1.005 0.10299 0.12347 0.12220 0.12111 0.14760 0.14847 0.14386 2.000 2.010 2.005 0.11685 0.13197 0.13102 0.13008 0.15129 0.15200 0.14826 3.000 3.010 3.005 0.12630 0.13821 0.13745 0.13667 0.15435 0.15496 0.15182 4.000 4.010 4.005 0.13336 0.14312 0.14250 0.14185 0.15698 0.15750 0.15481 5.000 5.010 5.005 0.13895 0.14718 0.14664 0.14610 0.15928 0.15974 0.15740 6.000 6.010 6.005 0.14355 0.15062 0.15016 0.14971 0.16132 0.16174 0.15968 7.000 7.010 7.005 0.14745 0.15361 0.15321 0.15283 0.16316 0.16353 0.16171 8.000 8.010 8.005 0.15082 0.15625 0.15589 0.15558 0.16482 0.16516 0.16354 9.000 9.010 9.005 0.15378 0.15860 0.15828 0.15803 0.16633 0.16663 0.16519 10.000 10.010 10.005 0.15642 0.16071 0.16043 0.16022 0.16770 0.16798 0.16670 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 4.66237E-01 5.35333E-03 4.45706E-02 4.99239E-02 4.18455E-03 0.095596 9 1 10.0 0.0 180.0 2.04411E-01 5.44133E-03 1.99854E-02 2.54267E-02 4.25335E-03 0.097771 9 4 10.0 45.0 135.0 2.28450E-01 5.41664E-03 2.28853E-02 2.83020E-02 4.23404E-03 0.100177 9 7 10.0 90.0 90.0 3.19265E-01 5.39749E-03 3.40542E-02 3.94517E-02 4.21907E-03 0.106664 8 1 20.0 0.0 180.0 1.22200E-01 5.48746E-03 6.99332E-03 1.24808E-02 4.28940E-03 0.057228 8 4 20.0 45.0 135.0 1.36362E-01 5.43141E-03 8.84006E-03 1.42715E-02 4.24559E-03 0.064828 8 7 20.0 90.0 90.0 1.91633E-01 5.41285E-03 1.70645E-02 2.24774E-02 4.23108E-03 0.089048 7 1 30.0 0.0 180.0 8.61016E-02 5.56022E-03 2.73760E-03 8.29782E-03 4.34628E-03 0.031795 7 4 30.0 45.0 135.0 9.40276E-02 5.55158E-03 3.34980E-03 8.90138E-03 4.33953E-03 0.035626 7 7 30.0 90.0 90.0 1.23604E-01 5.50136E-03 6.35121E-03 1.18526E-02 4.30027E-03 0.051384 6 1 40.0 0.0 180.0 7.07297E-02 5.60816E-03 2.05987E-03 7.66803E-03 4.38375E-03 0.029123 6 4 40.0 45.0 135.0 7.57291E-02 5.59312E-03 2.24917E-03 7.84228E-03 4.37199E-03 0.029700 6 7 40.0 90.0 90.0 9.29638E-02 5.54449E-03 3.12310E-03 8.66759E-03 4.33398E-03 0.033595 5 1 50.0 0.0 180.0 6.55117E-02 5.69570E-03 2.64661E-03 8.34231E-03 4.45218E-03 0.040399 5 4 50.0 45.0 135.0 6.91918E-02 5.65040E-03 2.79362E-03 8.44402E-03 4.41677E-03 0.040375 5 7 50.0 90.0 90.0 8.10137E-02 5.60397E-03 3.30783E-03 8.91180E-03 4.38048E-03 0.040831 4 1 60.0 0.0 180.0 6.79505E-02 5.63353E-03 5.21543E-03 1.08490E-02 4.40359E-03 0.076753 4 4 60.0 45.0 135.0 7.08887E-02 5.58082E-03 5.37722E-03 1.09580E-02 4.36238E-03 0.075854 4 7 60.0 90.0 90.0 8.02039E-02 5.59593E-03 6.02728E-03 1.16232E-02 4.37419E-03 0.075150 3 1 70.0 0.0 180.0 8.14920E-02 5.25821E-03 1.30408E-02 1.82990E-02 4.11021E-03 0.160025 3 4 70.0 45.0 135.0 8.36459E-02 5.26324E-03 1.33515E-02 1.86147E-02 4.11414E-03 0.159619 3 7 70.0 90.0 90.0 9.12231E-02 5.26640E-03 1.45241E-02 1.97905E-02 4.11661E-03 0.159215 2 1 80.0 0.0 180.0 1.21524E-01 4.53120E-03 3.09793E-02 3.55105E-02 3.54192E-03 0.254922 2 4 80.0 45.0 135.0 1.22111E-01 4.52212E-03 3.21536E-02 3.66757E-02 3.53483E-03 0.263315 2 7 80.0 90.0 90.0 1.26963E-01 4.51567E-03 3.44238E-02 3.89395E-02 3.52978E-03 0.271133 1 1 87.5 0.0 180.0 1.83201E-01 3.67453E-03 5.39801E-02 5.76547E-02 2.87229E-03 0.294649 1 4 87.5 45.0 135.0 1.81007E-01 3.48886E-03 5.76087E-02 6.10975E-02 2.72715E-03 0.318267 1 7 87.5 90.0 90.0 1.80671E-01 3.84370E-03 6.07229E-02 6.45666E-02 3.00452E-03 0.336097 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 4.992E-02 4.662E-01 1.204E-01 1.226E-01 1.312E-01 3.902E-02 1.181E+00 5.353E-03 4.185E-03 1 0.00 0.00 9.934E-03 4.849E+00 1.978E-02 2.144E-02 2.347E-02 7.890E-03 3.894E+00 3 0.81 1.00 8.626E-03 3.827E+00 1.856E-02 2.063E-02 2.395E-02 7.924E-03 3.997E+00 5 1.62 2.00 7.454E-03 3.008E+00 1.742E-02 1.953E-02 2.294E-02 7.950E-03 4.079E+00 7 2.43 3.00 6.415E-03 2.359E+00 1.594E-02 1.795E-02 2.123E-02 7.972E-03 4.147E+00 9 3.24 4.00 5.503E-03 1.849E+00 1.435E-02 1.622E-02 1.924E-02 7.991E-03 4.206E+00 11 4.05 5.00 4.708E-03 1.449E+00 1.277E-02 1.447E-02 1.720E-02 8.007E-03 4.257E+00 13 4.86 6.00 4.017E-03 1.137E+00 1.129E-02 1.280E-02 1.522E-02 8.021E-03 4.302E+00 15 5.67 7.00 3.421E-03 8.931E-01 9.908E-03 1.124E-02 1.335E-02 8.034E-03 4.343E+00 17 6.47 8.00 2.907E-03 7.032E-01 8.655E-03 9.814E-03 1.164E-02 8.045E-03 4.380E+00 19 7.28 9.00 2.467E-03 5.550E-01 7.529E-03 8.529E-03 1.009E-02 8.054E-03 4.413E+00 21 8.09 10.00 2.090E-03 4.392E-01 6.526E-03 7.382E-03 8.705E-03 8.063E-03 4.443E+00 Waveband 6 of 40 completed in 3.5 sec. * * * * * Output for wavelength band 7 (410.0 to 420.0 nm; nominal wavelength = 415.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 415.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 410.0 nm to 420.0 nm: Ed(diffuse) = 4.504E-01 Ed(direct) = 9.064E-01 Ed(total) = 1.357E+00 Absorption Coefficients of Individual Components at 415.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0044 0.0907 0.0293 0.1244 3 0.797 1.000 0.0044 0.0907 0.0293 0.1244 5 1.595 2.000 0.0044 0.0907 0.0293 0.1244 7 2.392 3.000 0.0044 0.0907 0.0293 0.1244 9 3.189 4.000 0.0044 0.0907 0.0293 0.1244 11 3.986 5.000 0.0044 0.0907 0.0293 0.1244 13 4.784 6.000 0.0044 0.0907 0.0293 0.1244 15 5.581 7.000 0.0044 0.0907 0.0293 0.1244 17 6.378 8.000 0.0044 0.0907 0.0293 0.1244 19 7.175 9.000 0.0044 0.0907 0.0293 0.1244 21 7.973 10.000 0.0044 0.0907 0.0293 0.1244 Scattering Coefficients of Individual Components at 415.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0065 0.6664 0.0000 0.6728 3 0.797 1.000 0.0065 0.6664 0.0000 0.6728 5 1.595 2.000 0.0065 0.6664 0.0000 0.6728 7 2.392 3.000 0.0065 0.6664 0.0000 0.6728 9 3.189 4.000 0.0065 0.6664 0.0000 0.6728 11 3.986 5.000 0.0065 0.6664 0.0000 0.6728 13 4.784 6.000 0.0065 0.6664 0.0000 0.6728 15 5.581 7.000 0.0065 0.6664 0.0000 0.6728 17 6.378 8.000 0.0065 0.6664 0.0000 0.6728 19 7.175 9.000 0.0065 0.6664 0.0000 0.6728 21 7.973 10.000 0.0065 0.6664 0.0000 0.6728 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 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00323 0.00666 0.00000 0.00989 3 0.797 1.000 0.00323 0.00666 0.00000 0.00989 5 1.595 2.000 0.00323 0.00666 0.00000 0.00989 7 2.392 3.000 0.00323 0.00666 0.00000 0.00989 9 3.189 4.000 0.00323 0.00666 0.00000 0.00989 11 3.986 5.000 0.00323 0.00666 0.00000 0.00989 13 4.784 6.000 0.00323 0.00666 0.00000 0.00989 15 5.581 7.000 0.00323 0.00666 0.00000 0.00989 17 6.378 8.000 0.00323 0.00666 0.00000 0.00989 19 7.175 9.000 0.00323 0.00666 0.00000 0.00989 21 7.973 10.000 0.00323 0.00666 0.00000 0.00989 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 0.1244 0.6728 0.7973 0.8439 0.00989 0.01471 3 0.797 1.000 0.1244 0.6728 0.7973 0.8439 0.00989 0.01471 5 1.595 2.000 0.1244 0.6728 0.7973 0.8439 0.00989 0.01471 7 2.392 3.000 0.1244 0.6728 0.7973 0.8439 0.00989 0.01471 9 3.189 4.000 0.1244 0.6728 0.7973 0.8439 0.00989 0.01471 11 3.986 5.000 0.1244 0.6728 0.7973 0.8439 0.00989 0.01471 13 4.784 6.000 0.1244 0.6728 0.7973 0.8439 0.00989 0.01471 15 5.581 7.000 0.1244 0.6728 0.7973 0.8439 0.00989 0.01471 17 6.378 8.000 0.1244 0.6728 0.7973 0.8439 0.00989 0.01471 19 7.175 9.000 0.1244 0.6728 0.7973 0.8439 0.00989 0.01471 21 7.973 10.000 0.1244 0.6728 0.7973 0.8439 0.00989 0.01471 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3400E-01 8 20.00 7.7771E-01 7 30.00 5.8214E-01 6 40.00 3.9949E-01 5 50.00 2.5742E-01 4 60.00 1.6000E-01 3 70.00 9.8655E-02 2 80.00 6.2178E-02 1 87.50 4.4762E-02 1 92.50 3.5656E-02 2 100.00 2.7028E-02 3 110.00 1.9832E-02 4 120.00 1.5400E-02 5 130.00 1.2685E-02 6 140.00 1.1014E-02 7 150.00 9.9901E-03 8 160.00 9.3834E-03 9 170.00 9.0631E-03 10 180.00 8.9506E-03 Asymptotic AOP values are MUu(inf) = 0.3785 MUd(inf) = 0.7387 MU(inf) = 0.6673 R(inf) = 0.0350 Lu(inf)/Ed(inf) = 0.007326 (1/sr) k(inf) = 0.1865 (1/m) absorp(check) = 0.1244 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 415.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.5661E-01 1.7580E+00 1.9146E+00 6.0310E-02 1.3568E+00 0.3851 0.7718 0.6771 4.4452E-02 1 0.00 0.00 8.6499E-02 1.4648E+00 1.5513E+00 3.7368E-02 1.3338E+00 0.4320 0.9106 0.8357 2.8016E-02 3 0.80 1.00 7.8467E-02 1.2952E+00 1.3737E+00 3.3172E-02 1.1483E+00 0.4227 0.8866 0.8118 2.8887E-02 5 1.59 2.00 6.9970E-02 1.1340E+00 1.2040E+00 2.9127E-02 9.8456E-01 0.4163 0.8682 0.7936 2.9584E-02 7 2.39 3.00 6.1681E-02 9.8581E-01 1.0475E+00 2.5380E-02 8.4135E-01 0.4115 0.8535 0.7790 3.0165E-02 9 3.19 4.00 5.3934E-02 8.5235E-01 9.0628E-01 2.1987E-02 7.1696E-01 0.4077 0.8412 0.7668 3.0666E-02 11 3.99 5.00 4.6866E-02 7.3375E-01 7.8062E-01 1.8959E-02 6.0948E-01 0.4045 0.8306 0.7565 3.1106E-02 13 4.78 6.00 4.0520E-02 6.2935E-01 6.6987E-01 1.6284E-02 5.1699E-01 0.4019 0.8215 0.7475 3.1497E-02 15 5.58 7.00 3.4886E-02 5.3810E-01 5.7299E-01 1.3940E-02 4.3770E-01 0.3996 0.8134 0.7396 3.1848E-02 17 6.38 8.00 2.9928E-02 4.5882E-01 4.8875E-01 1.1899E-02 3.6993E-01 0.3976 0.8063 0.7325 3.2165E-02 19 7.18 9.00 2.5594E-02 3.9027E-01 4.1586E-01 1.0130E-02 3.1216E-01 0.3958 0.7999 0.7263 3.2453E-02 21 7.97 10.00 2.1827E-02 3.3123E-01 3.5305E-01 8.6048E-03 2.6303E-01 0.3942 0.7941 0.7206 3.2714E-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 0.09421 0.12027 0.11882 0.11364 0.14743 0.14841 0.14229 1.000 1.010 1.005 0.10717 0.12853 0.12731 0.12532 0.15199 0.15278 0.14798 2.000 2.010 2.005 0.12115 0.13689 0.13598 0.13431 0.15564 0.15629 0.15237 3.000 3.010 3.005 0.13060 0.14300 0.14227 0.14088 0.15867 0.15922 0.15591 4.000 4.010 4.005 0.13761 0.14781 0.14720 0.14603 0.16127 0.16175 0.15890 5.000 5.010 5.005 0.14318 0.15178 0.15126 0.15026 0.16355 0.16398 0.16147 6.000 6.010 6.005 0.14773 0.15515 0.15470 0.15384 0.16558 0.16596 0.16375 7.000 7.010 7.005 0.15160 0.15808 0.15768 0.15694 0.16740 0.16774 0.16577 8.000 8.010 8.005 0.15495 0.16067 0.16032 0.15968 0.16905 0.16936 0.16760 9.000 9.010 9.005 0.15790 0.16298 0.16267 0.16212 0.17055 0.17083 0.16926 10.000 10.010 10.005 0.16053 0.16506 0.16478 0.16430 0.17191 0.17217 0.17076 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 4.76964E-01 5.15942E-03 4.77849E-02 5.29443E-02 3.80274E-03 0.100186 9 1 10.0 0.0 180.0 2.09114E-01 5.24452E-03 2.13323E-02 2.65769E-02 3.86546E-03 0.102013 9 4 10.0 45.0 135.0 2.33709E-01 5.22049E-03 2.44473E-02 2.96678E-02 3.84775E-03 0.104606 9 7 10.0 90.0 90.0 3.26591E-01 5.20150E-03 3.64610E-02 4.16625E-02 3.83376E-03 0.111641 8 1 20.0 0.0 180.0 1.25012E-01 5.28853E-03 7.37917E-03 1.26677E-02 3.89790E-03 0.059028 8 4 20.0 45.0 135.0 1.39499E-01 5.23414E-03 9.35554E-03 1.45897E-02 3.85782E-03 0.067065 8 7 20.0 90.0 90.0 1.96042E-01 5.21548E-03 1.81823E-02 2.33978E-02 3.84406E-03 0.092747 7 1 30.0 0.0 180.0 8.80825E-02 5.35795E-03 2.82898E-03 8.18692E-03 3.94907E-03 0.032117 7 4 30.0 45.0 135.0 9.61909E-02 5.34915E-03 3.47732E-03 8.82647E-03 3.94258E-03 0.036150 7 7 30.0 90.0 90.0 1.26447E-01 5.29981E-03 6.67406E-03 1.19739E-02 3.90622E-03 0.052781 6 1 40.0 0.0 180.0 7.23570E-02 5.40293E-03 2.10871E-03 7.51164E-03 3.98222E-03 0.029143 6 4 40.0 45.0 135.0 7.74714E-02 5.38791E-03 2.30418E-03 7.69209E-03 3.97115E-03 0.029742 6 7 40.0 90.0 90.0 9.51026E-02 5.34021E-03 3.21512E-03 8.55533E-03 3.93600E-03 0.033807 5 1 50.0 0.0 180.0 6.70189E-02 5.48654E-03 2.70768E-03 8.19422E-03 4.04385E-03 0.040402 5 4 50.0 45.0 135.0 7.07837E-02 5.44248E-03 2.85789E-03 8.30037E-03 4.01137E-03 0.040375 5 7 50.0 90.0 90.0 8.28775E-02 5.39735E-03 3.38485E-03 8.78220E-03 3.97811E-03 0.040842 4 1 60.0 0.0 180.0 6.95138E-02 5.42626E-03 5.33542E-03 1.07617E-02 3.99941E-03 0.076753 4 4 60.0 45.0 135.0 7.25197E-02 5.37523E-03 5.50093E-03 1.08762E-02 3.96181E-03 0.075854 4 7 60.0 90.0 90.0 8.20491E-02 5.38998E-03 6.16595E-03 1.15559E-02 3.97267E-03 0.075150 3 1 70.0 0.0 180.0 8.33669E-02 5.06528E-03 1.33408E-02 1.84061E-02 3.73336E-03 0.160025 3 4 70.0 45.0 135.0 8.55703E-02 5.07019E-03 1.36587E-02 1.87289E-02 3.73698E-03 0.159619 3 7 70.0 90.0 90.0 9.33218E-02 5.07437E-03 1.48582E-02 1.99326E-02 3.74006E-03 0.159215 2 1 80.0 0.0 180.0 1.24320E-01 4.36587E-03 3.16920E-02 3.60579E-02 3.21786E-03 0.254922 2 4 80.0 45.0 135.0 1.24920E-01 4.35747E-03 3.28934E-02 3.72508E-02 3.21167E-03 0.263315 2 7 80.0 90.0 90.0 1.29884E-01 4.35303E-03 3.52158E-02 3.95688E-02 3.20840E-03 0.271133 1 1 87.5 0.0 180.0 1.87416E-01 3.54189E-03 5.52220E-02 5.87639E-02 2.61054E-03 0.294649 1 4 87.5 45.0 135.0 1.85172E-01 3.36342E-03 5.89340E-02 6.22975E-02 2.47900E-03 0.318267 1 7 87.5 90.0 90.0 1.84828E-01 3.70788E-03 6.21199E-02 6.58278E-02 2.73289E-03 0.336097 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 5.294E-02 4.770E-01 1.231E-01 1.253E-01 1.341E-01 3.902E-02 1.139E+00 5.159E-03 3.803E-03 1 0.00 0.00 9.574E-03 5.194E+00 1.922E-02 2.091E-02 2.299E-02 7.178E-03 3.903E+00 3 0.80 1.00 8.280E-03 4.092E+00 1.808E-02 2.017E-02 2.355E-02 7.210E-03 4.006E+00 5 1.59 2.00 7.125E-03 3.211E+00 1.690E-02 1.902E-02 2.247E-02 7.237E-03 4.088E+00 7 2.39 3.00 6.107E-03 2.515E+00 1.538E-02 1.740E-02 2.069E-02 7.258E-03 4.156E+00 9 3.19 4.00 5.217E-03 1.967E+00 1.378E-02 1.565E-02 1.867E-02 7.277E-03 4.214E+00 11 3.99 5.00 4.445E-03 1.539E+00 1.222E-02 1.390E-02 1.661E-02 7.293E-03 4.265E+00 13 4.78 6.00 3.778E-03 1.205E+00 1.074E-02 1.224E-02 1.463E-02 7.307E-03 4.310E+00 15 5.58 7.00 3.204E-03 9.443E-01 9.391E-03 1.070E-02 1.278E-02 7.320E-03 4.351E+00 17 6.38 8.00 2.712E-03 7.417E-01 8.169E-03 9.301E-03 1.109E-02 7.331E-03 4.387E+00 19 7.18 9.00 2.292E-03 5.838E-01 7.075E-03 8.048E-03 9.574E-03 7.341E-03 4.421E+00 21 7.97 10.00 1.933E-03 4.606E-01 6.107E-03 6.936E-03 8.226E-03 7.350E-03 4.451E+00 Waveband 7 of 40 completed in 3.2 sec. * * * * * Output for wavelength band 8 (420.0 to 430.0 nm; nominal wavelength = 425.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 425.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 420.0 nm to 430.0 nm: Ed(diffuse) = 4.176E-01 Ed(direct) = 8.814E-01 Ed(total) = 1.299E+00 Absorption Coefficients of Individual Components at 425.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0048 0.0959 0.0254 0.1261 3 0.783 1.000 0.0048 0.0959 0.0254 0.1261 5 1.565 2.000 0.0048 0.0959 0.0254 0.1261 7 2.348 3.000 0.0048 0.0959 0.0254 0.1261 9 3.130 4.000 0.0048 0.0959 0.0254 0.1261 11 3.913 5.000 0.0048 0.0959 0.0254 0.1261 13 4.696 6.000 0.0048 0.0959 0.0254 0.1261 15 5.478 7.000 0.0048 0.0959 0.0254 0.1261 17 6.261 8.000 0.0048 0.0959 0.0254 0.1261 19 7.044 9.000 0.0048 0.0959 0.0254 0.1261 21 7.826 10.000 0.0048 0.0959 0.0254 0.1261 Scattering Coefficients of Individual Components at 425.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0058 0.6507 0.0000 0.6565 3 0.783 1.000 0.0058 0.6507 0.0000 0.6565 5 1.565 2.000 0.0058 0.6507 0.0000 0.6565 7 2.348 3.000 0.0058 0.6507 0.0000 0.6565 9 3.130 4.000 0.0058 0.6507 0.0000 0.6565 11 3.913 5.000 0.0058 0.6507 0.0000 0.6565 13 4.696 6.000 0.0058 0.6507 0.0000 0.6565 15 5.478 7.000 0.0058 0.6507 0.0000 0.6565 17 6.261 8.000 0.0058 0.6507 0.0000 0.6565 19 7.044 9.000 0.0058 0.6507 0.0000 0.6565 21 7.826 10.000 0.0058 0.6507 0.0000 0.6565 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 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00291 0.00651 0.00000 0.00942 3 0.783 1.000 0.00291 0.00651 0.00000 0.00942 5 1.565 2.000 0.00291 0.00651 0.00000 0.00942 7 2.348 3.000 0.00291 0.00651 0.00000 0.00942 9 3.130 4.000 0.00291 0.00651 0.00000 0.00942 11 3.913 5.000 0.00291 0.00651 0.00000 0.00942 13 4.696 6.000 0.00291 0.00651 0.00000 0.00942 15 5.478 7.000 0.00291 0.00651 0.00000 0.00942 17 6.261 8.000 0.00291 0.00651 0.00000 0.00942 19 7.044 9.000 0.00291 0.00651 0.00000 0.00942 21 7.826 10.000 0.00291 0.00651 0.00000 0.00942 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 0.1261 0.6565 0.7826 0.8389 0.00942 0.01435 3 0.783 1.000 0.1261 0.6565 0.7826 0.8389 0.00942 0.01435 5 1.565 2.000 0.1261 0.6565 0.7826 0.8389 0.00942 0.01435 7 2.348 3.000 0.1261 0.6565 0.7826 0.8389 0.00942 0.01435 9 3.130 4.000 0.1261 0.6565 0.7826 0.8389 0.00942 0.01435 11 3.913 5.000 0.1261 0.6565 0.7826 0.8389 0.00942 0.01435 13 4.696 6.000 0.1261 0.6565 0.7826 0.8389 0.00942 0.01435 15 5.478 7.000 0.1261 0.6565 0.7826 0.8389 0.00942 0.01435 17 6.261 8.000 0.1261 0.6565 0.7826 0.8389 0.00942 0.01435 19 7.044 9.000 0.1261 0.6565 0.7826 0.8389 0.00942 0.01435 21 7.826 10.000 0.1261 0.6565 0.7826 0.8389 0.00942 0.01435 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3253E-01 8 20.00 7.7326E-01 7 30.00 5.7510E-01 6 40.00 3.9150E-01 5 50.00 2.5002E-01 4 60.00 1.5399E-01 3 70.00 9.4125E-02 2 80.00 5.8859E-02 1 87.50 4.2152E-02 1 92.50 3.3469E-02 2 100.00 2.5269E-02 3 110.00 1.8459E-02 4 120.00 1.4285E-02 5 130.00 1.1739E-02 6 140.00 1.0176E-02 7 150.00 9.2217E-03 8 160.00 8.6574E-03 9 170.00 8.3600E-03 10 180.00 8.2556E-03 Asymptotic AOP values are MUu(inf) = 0.3769 MUd(inf) = 0.7424 MU(inf) = 0.6741 R(inf) = 0.0330 Lu(inf)/Ed(inf) = 0.006862 (1/sr) k(inf) = 0.1871 (1/m) absorp(check) = 0.1261 = 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 1.4524E-01 1.6718E+00 1.8171E+00 5.6312E-02 1.2990E+00 0.3877 0.7770 0.6839 4.3350E-02 1 0.00 0.00 7.8112E-02 1.3974E+00 1.4755E+00 3.3650E-02 1.2763E+00 0.4308 0.9134 0.8422 2.6364E-02 3 0.78 1.00 7.0812E-02 1.2339E+00 1.3047E+00 2.9849E-02 1.0979E+00 0.4215 0.8898 0.8187 2.7187E-02 5 1.57 2.00 6.3099E-02 1.0790E+00 1.1421E+00 2.6192E-02 9.4066E-01 0.4151 0.8718 0.8007 2.7845E-02 7 2.35 3.00 5.5589E-02 9.3699E-01 9.9258E-01 2.2810E-02 8.0330E-01 0.4103 0.8573 0.7863 2.8395E-02 9 3.13 4.00 4.8581E-02 8.0941E-01 8.5799E-01 1.9750E-02 6.8412E-01 0.4065 0.8452 0.7743 2.8870E-02 11 3.91 5.00 4.2195E-02 6.9624E-01 7.3843E-01 1.7023E-02 5.8123E-01 0.4034 0.8348 0.7641 2.9287E-02 13 4.70 6.00 3.6467E-02 5.9675E-01 6.3322E-01 1.4616E-02 4.9278E-01 0.4008 0.8258 0.7551 2.9660E-02 15 5.48 7.00 3.1385E-02 5.0991E-01 5.4130E-01 1.2508E-02 4.1699E-01 0.3985 0.8178 0.7473 2.9995E-02 17 6.26 8.00 2.6916E-02 4.3453E-01 4.6145E-01 1.0673E-02 3.5226E-01 0.3965 0.8107 0.7403 3.0298E-02 19 7.04 9.00 2.3011E-02 3.6941E-01 3.9242E-01 9.0840E-03 2.9712E-01 0.3948 0.8043 0.7340 3.0574E-02 21 7.83 10.00 1.9619E-02 3.1337E-01 3.3299E-01 7.7140E-03 2.5025E-01 0.3932 0.7986 0.7284 3.0825E-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 0.09391 0.12131 0.11986 0.11423 0.14830 0.14922 0.14295 1.000 1.010 1.005 0.10793 0.12986 0.12867 0.12603 0.15277 0.15352 0.14858 2.000 2.010 2.005 0.12183 0.13801 0.13711 0.13493 0.15634 0.15696 0.15289 3.000 3.010 3.005 0.13117 0.14395 0.14324 0.14141 0.15931 0.15983 0.15638 4.000 4.010 4.005 0.13812 0.14864 0.14805 0.14649 0.16185 0.16231 0.15931 5.000 5.010 5.005 0.14361 0.15252 0.15201 0.15067 0.16409 0.16449 0.16185 6.000 6.010 6.005 0.14812 0.15581 0.15537 0.15420 0.16608 0.16644 0.16409 7.000 7.010 7.005 0.15193 0.15868 0.15829 0.15727 0.16787 0.16820 0.16609 8.000 8.010 8.005 0.15526 0.16122 0.16087 0.15998 0.16950 0.16980 0.16790 9.000 9.010 9.005 0.15817 0.16349 0.16318 0.16239 0.17098 0.17125 0.16954 10.000 10.010 10.005 0.16077 0.16553 0.16525 0.16456 0.17233 0.17258 0.17103 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 425.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 4.42200E-01 4.63257E-03 4.61768E-02 5.08093E-02 3.56625E-03 0.104425 9 1 10.0 0.0 180.0 1.93872E-01 4.70888E-03 2.05374E-02 2.52463E-02 3.62499E-03 0.105933 9 4 10.0 45.0 135.0 2.16678E-01 4.68730E-03 2.35523E-02 2.82396E-02 3.60838E-03 0.108697 9 7 10.0 90.0 90.0 3.02770E-01 4.67027E-03 3.51939E-02 3.98641E-02 3.59527E-03 0.116239 8 1 20.0 0.0 180.0 1.15900E-01 4.74830E-03 7.03400E-03 1.17823E-02 3.65533E-03 0.060690 8 4 20.0 45.0 135.0 1.29332E-01 4.69947E-03 8.94095E-03 1.36404E-02 3.61775E-03 0.069132 8 7 20.0 90.0 90.0 1.81753E-01 4.68281E-03 1.74782E-02 2.21610E-02 3.60492E-03 0.096165 7 1 30.0 0.0 180.0 8.16626E-02 4.81055E-03 2.64711E-03 7.45765E-03 3.70326E-03 0.032415 7 4 30.0 45.0 135.0 8.91799E-02 4.80268E-03 3.26709E-03 8.06977E-03 3.69720E-03 0.036635 7 7 30.0 90.0 90.0 1.17231E-01 4.75862E-03 6.33897E-03 1.10976E-02 3.66328E-03 0.054073 6 1 40.0 0.0 180.0 6.70832E-02 4.85094E-03 1.95626E-03 6.80720E-03 3.73435E-03 0.029162 6 4 40.0 45.0 135.0 7.18248E-02 4.83758E-03 2.13904E-03 6.97662E-03 3.72407E-03 0.029781 6 7 40.0 90.0 90.0 8.81709E-02 4.79535E-03 2.99805E-03 7.79340E-03 3.69156E-03 0.034003 5 1 50.0 0.0 180.0 6.21341E-02 4.92637E-03 2.51049E-03 7.43686E-03 3.79242E-03 0.040404 5 4 50.0 45.0 135.0 6.56246E-02 4.88709E-03 2.64959E-03 7.53668E-03 3.76218E-03 0.040375 5 7 50.0 90.0 90.0 7.68369E-02 4.84769E-03 3.13893E-03 7.98662E-03 3.73185E-03 0.040852 4 1 60.0 0.0 180.0 6.44472E-02 4.87282E-03 4.94654E-03 9.81936E-03 3.75119E-03 0.076753 4 4 60.0 45.0 135.0 6.72340E-02 4.82747E-03 5.09999E-03 9.92746E-03 3.71628E-03 0.075854 4 7 60.0 90.0 90.0 7.60689E-02 4.84243E-03 5.71654E-03 1.05590E-02 3.72780E-03 0.075150 3 1 70.0 0.0 180.0 7.72906E-02 4.54982E-03 1.23685E-02 1.69183E-02 3.50254E-03 0.160025 3 4 70.0 45.0 135.0 7.93334E-02 4.55492E-03 1.26631E-02 1.72181E-02 3.50647E-03 0.159619 3 7 70.0 90.0 90.0 8.65199E-02 4.56109E-03 1.37753E-02 1.83364E-02 3.51121E-03 0.159215 2 1 80.0 0.0 180.0 1.15259E-01 3.92277E-03 2.93821E-02 3.33049E-02 3.01983E-03 0.254922 2 4 80.0 45.0 135.0 1.15815E-01 3.91606E-03 3.04959E-02 3.44119E-02 3.01466E-03 0.263315 2 7 80.0 90.0 90.0 1.20417E-01 3.91475E-03 3.26491E-02 3.65638E-02 3.01365E-03 0.271133 1 1 87.5 0.0 180.0 1.73756E-01 3.18373E-03 5.11971E-02 5.43809E-02 2.45090E-03 0.294649 1 4 87.5 45.0 135.0 1.71675E-01 3.02412E-03 5.46386E-02 5.76627E-02 2.32803E-03 0.318267 1 7 87.5 90.0 90.0 1.71356E-01 3.33674E-03 5.75923E-02 6.09290E-02 2.56869E-03 0.336097 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 5.081E-02 4.422E-01 1.141E-01 1.161E-01 1.243E-01 3.911E-02 1.108E+00 4.633E-03 3.566E-03 1 0.00 0.00 8.596E-03 5.014E+00 1.738E-02 1.897E-02 2.093E-02 6.735E-03 3.914E+00 3 0.78 1.00 7.430E-03 3.957E+00 1.639E-02 1.835E-02 2.151E-02 6.767E-03 4.018E+00 5 1.57 2.00 6.390E-03 3.110E+00 1.530E-02 1.728E-02 2.050E-02 6.793E-03 4.099E+00 7 2.35 3.00 5.474E-03 2.439E+00 1.392E-02 1.580E-02 1.886E-02 6.815E-03 4.167E+00 9 3.13 4.00 4.675E-03 1.911E+00 1.246E-02 1.420E-02 1.701E-02 6.833E-03 4.225E+00 11 3.91 5.00 3.981E-03 1.497E+00 1.104E-02 1.260E-02 1.512E-02 6.850E-03 4.276E+00 13 4.70 6.00 3.382E-03 1.174E+00 9.703E-03 1.109E-02 1.331E-02 6.864E-03 4.321E+00 15 5.48 7.00 2.868E-03 9.210E-01 8.477E-03 9.690E-03 1.163E-02 6.877E-03 4.362E+00 17 6.26 8.00 2.427E-03 7.239E-01 7.370E-03 8.421E-03 1.009E-02 6.889E-03 4.398E+00 19 7.04 9.00 2.050E-03 5.702E-01 6.381E-03 7.285E-03 8.706E-03 6.899E-03 4.432E+00 21 7.83 10.00 1.729E-03 4.501E-01 5.506E-03 6.276E-03 7.478E-03 6.909E-03 4.462E+00 Waveband 8 of 40 completed in 3.1 sec. * * * * * Output for wavelength band 9 (430.0 to 440.0 nm; nominal wavelength = 435.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 435.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 430.0 nm to 440.0 nm: Ed(diffuse) = 4.159E-01 Ed(direct) = 9.195E-01 Ed(total) = 1.335E+00 Absorption Coefficients of Individual Components at 435.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0053 0.1031 0.0221 0.1305 3 0.772 1.000 0.0053 0.1031 0.0221 0.1305 5 1.543 2.000 0.0053 0.1031 0.0221 0.1305 7 2.315 3.000 0.0053 0.1031 0.0221 0.1305 9 3.086 4.000 0.0053 0.1031 0.0221 0.1305 11 3.858 5.000 0.0053 0.1031 0.0221 0.1305 13 4.629 6.000 0.0053 0.1031 0.0221 0.1305 15 5.401 7.000 0.0053 0.1031 0.0221 0.1305 17 6.172 8.000 0.0053 0.1031 0.0221 0.1305 19 6.944 9.000 0.0053 0.1031 0.0221 0.1305 21 7.715 10.000 0.0053 0.1031 0.0221 0.1305 Scattering Coefficients of Individual Components at 435.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0053 0.6357 0.0000 0.6410 3 0.772 1.000 0.0053 0.6357 0.0000 0.6410 5 1.543 2.000 0.0053 0.6357 0.0000 0.6410 7 2.315 3.000 0.0053 0.6357 0.0000 0.6410 9 3.086 4.000 0.0053 0.6357 0.0000 0.6410 11 3.858 5.000 0.0053 0.6357 0.0000 0.6410 13 4.629 6.000 0.0053 0.6357 0.0000 0.6410 15 5.401 7.000 0.0053 0.6357 0.0000 0.6410 17 6.172 8.000 0.0053 0.6357 0.0000 0.6410 19 6.944 9.000 0.0053 0.6357 0.0000 0.6410 21 7.715 10.000 0.0053 0.6357 0.0000 0.6410 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 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00264 0.00636 0.00000 0.00899 3 0.772 1.000 0.00264 0.00636 0.00000 0.00899 5 1.543 2.000 0.00264 0.00636 0.00000 0.00899 7 2.315 3.000 0.00264 0.00636 0.00000 0.00899 9 3.086 4.000 0.00264 0.00636 0.00000 0.00899 11 3.858 5.000 0.00264 0.00636 0.00000 0.00899 13 4.629 6.000 0.00264 0.00636 0.00000 0.00899 15 5.401 7.000 0.00264 0.00636 0.00000 0.00899 17 6.172 8.000 0.00264 0.00636 0.00000 0.00899 19 6.944 9.000 0.00264 0.00636 0.00000 0.00899 21 7.715 10.000 0.00264 0.00636 0.00000 0.00899 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 0.1305 0.6410 0.7715 0.8308 0.00899 0.01403 3 0.772 1.000 0.1305 0.6410 0.7715 0.8308 0.00899 0.01403 5 1.543 2.000 0.1305 0.6410 0.7715 0.8308 0.00899 0.01403 7 2.315 3.000 0.1305 0.6410 0.7715 0.8308 0.00899 0.01403 9 3.086 4.000 0.1305 0.6410 0.7715 0.8308 0.00899 0.01403 11 3.858 5.000 0.1305 0.6410 0.7715 0.8308 0.00899 0.01403 13 4.629 6.000 0.1305 0.6410 0.7715 0.8308 0.00899 0.01403 15 5.401 7.000 0.1305 0.6410 0.7715 0.8308 0.00899 0.01403 17 6.172 8.000 0.1305 0.6410 0.7715 0.8308 0.00899 0.01403 19 6.944 9.000 0.1305 0.6410 0.7715 0.8308 0.00899 0.01403 21 7.715 10.000 0.1305 0.6410 0.7715 0.8308 0.00899 0.01403 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3022E-01 8 20.00 7.6626E-01 7 30.00 5.6415E-01 6 40.00 3.7926E-01 5 50.00 2.3890E-01 4 60.00 1.4514E-01 3 70.00 8.7600E-02 2 80.00 5.4185E-02 1 87.50 3.8539E-02 1 92.50 3.0481E-02 2 100.00 2.2905E-02 3 110.00 1.6652E-02 4 120.00 1.2845E-02 5 130.00 1.0535E-02 6 140.00 9.1242E-03 7 150.00 8.2659E-03 8 160.00 7.7602E-03 9 170.00 7.4944E-03 10 180.00 7.4012E-03 Asymptotic AOP values are MUu(inf) = 0.3754 MUd(inf) = 0.7477 MU(inf) = 0.6837 R(inf) = 0.0304 Lu(inf)/Ed(inf) = 0.006298 (1/sr) k(inf) = 0.1909 (1/m) absorp(check) = 0.1305 = 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 1.4414E-01 1.7076E+00 1.8517E+00 5.6184E-02 1.3354E+00 0.3898 0.7820 0.6908 4.2073E-02 1 0.00 0.00 7.4111E-02 1.4303E+00 1.5044E+00 3.1813E-02 1.3110E+00 0.4293 0.9166 0.8503 2.4266E-02 3 0.77 1.00 6.6954E-02 1.2573E+00 1.3242E+00 2.8116E-02 1.1234E+00 0.4199 0.8935 0.8271 2.5028E-02 5 1.54 2.00 5.9431E-02 1.0946E+00 1.1540E+00 2.4579E-02 9.5881E-01 0.4136 0.8759 0.8095 2.5635E-02 7 2.31 3.00 5.2157E-02 9.4653E-01 9.9868E-01 2.1324E-02 8.1569E-01 0.4089 0.8618 0.7954 2.6143E-02 9 3.09 4.00 4.5408E-02 8.1426E-01 8.5966E-01 1.8396E-02 6.9206E-01 0.4051 0.8499 0.7836 2.6581E-02 11 3.86 5.00 3.9291E-02 6.9756E-01 7.3685E-01 1.5798E-02 5.8578E-01 0.4021 0.8398 0.7735 2.6968E-02 13 4.63 6.00 3.3832E-02 5.9550E-01 6.2933E-01 1.3515E-02 4.9479E-01 0.3995 0.8309 0.7648 2.7314E-02 15 5.40 7.00 2.9011E-02 5.0684E-01 5.3585E-01 1.1524E-02 4.1716E-01 0.3972 0.8231 0.7570 2.7626E-02 17 6.17 8.00 2.4790E-02 4.3024E-01 4.5503E-01 9.7989E-03 3.5111E-01 0.3953 0.8161 0.7501 2.7909E-02 19 6.94 9.00 2.1118E-02 3.6436E-01 3.8547E-01 8.3108E-03 2.9506E-01 0.3935 0.8098 0.7439 2.8167E-02 21 7.72 10.00 1.7941E-02 3.0791E-01 3.2585E-01 7.0327E-03 2.4761E-01 0.3920 0.8042 0.7383 2.8402E-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 0.09597 0.12520 0.12376 0.11757 0.15216 0.15302 0.14656 1.000 1.010 1.005 0.11174 0.13434 0.13320 0.12980 0.15662 0.15731 0.15220 2.000 2.010 2.005 0.12571 0.14235 0.14149 0.13870 0.16016 0.16072 0.15649 3.000 3.010 3.005 0.13501 0.14817 0.14748 0.14513 0.16309 0.16357 0.15994 4.000 4.010 4.005 0.14190 0.15276 0.15219 0.15017 0.16561 0.16603 0.16285 5.000 5.010 5.005 0.14733 0.15655 0.15606 0.15430 0.16782 0.16819 0.16536 6.000 6.010 6.005 0.15179 0.15978 0.15935 0.15780 0.16979 0.17012 0.16758 7.000 7.010 7.005 0.15557 0.16259 0.16221 0.16084 0.17156 0.17187 0.16957 8.000 8.010 8.005 0.15885 0.16508 0.16474 0.16351 0.17317 0.17345 0.17136 9.000 9.010 9.005 0.16174 0.16732 0.16701 0.16590 0.17464 0.17490 0.17299 10.000 10.010 10.005 0.16432 0.16933 0.16905 0.16805 0.17598 0.17622 0.17447 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 435.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 4.40484E-01 4.36790E-03 4.78863E-02 5.22542E-02 3.27085E-03 0.108713 9 1 10.0 0.0 180.0 1.93120E-01 4.44014E-03 2.12232E-02 2.56633E-02 3.32495E-03 0.109896 9 4 10.0 45.0 135.0 2.15840E-01 4.41961E-03 2.43543E-02 2.87739E-02 3.30958E-03 0.112835 9 7 10.0 90.0 90.0 3.01579E-01 4.40316E-03 3.64580E-02 4.08611E-02 3.29726E-03 0.120890 8 1 20.0 0.0 180.0 1.15450E-01 4.47713E-03 7.20080E-03 1.16779E-02 3.35265E-03 0.062371 8 4 20.0 45.0 135.0 1.28830E-01 4.43082E-03 9.17554E-03 1.36064E-02 3.31797E-03 0.071222 8 7 20.0 90.0 90.0 1.81048E-01 4.41452E-03 1.80362E-02 2.24507E-02 3.30577E-03 0.099621 7 1 30.0 0.0 180.0 8.13456E-02 4.53552E-03 2.66134E-03 7.19685E-03 3.39637E-03 0.032716 7 4 30.0 45.0 135.0 8.88338E-02 4.52774E-03 3.29795E-03 7.82568E-03 3.39054E-03 0.037125 7 7 30.0 90.0 90.0 1.16776E-01 4.48550E-03 6.46686E-03 1.09524E-02 3.35892E-03 0.055378 6 1 40.0 0.0 180.0 6.68228E-02 4.57305E-03 1.94991E-03 6.52296E-03 3.42447E-03 0.029180 6 4 40.0 45.0 135.0 7.15461E-02 4.56007E-03 2.13355E-03 6.69363E-03 3.41476E-03 0.029821 6 7 40.0 90.0 90.0 8.78288E-02 4.51965E-03 3.00382E-03 7.52347E-03 3.38449E-03 0.034201 5 1 50.0 0.0 180.0 6.18930E-02 4.64396E-03 2.50090E-03 7.14486E-03 3.47757E-03 0.040407 5 4 50.0 45.0 135.0 6.53699E-02 4.60663E-03 2.63931E-03 7.24594E-03 3.44962E-03 0.040375 5 7 50.0 90.0 90.0 7.65387E-02 4.56925E-03 3.12755E-03 7.69680E-03 3.42163E-03 0.040862 4 1 60.0 0.0 180.0 6.41971E-02 4.59352E-03 4.92734E-03 9.52086E-03 3.43981E-03 0.076753 4 4 60.0 45.0 135.0 6.69730E-02 4.55062E-03 5.08020E-03 9.63081E-03 3.40768E-03 0.075854 4 7 60.0 90.0 90.0 7.57737E-02 4.56497E-03 5.69435E-03 1.02593E-02 3.41843E-03 0.075150 3 1 70.0 0.0 180.0 7.69906E-02 4.28979E-03 1.23205E-02 1.66102E-02 3.21236E-03 0.160025 3 4 70.0 45.0 135.0 7.90255E-02 4.29469E-03 1.26140E-02 1.69087E-02 3.21603E-03 0.159619 3 7 70.0 90.0 90.0 8.61842E-02 4.30152E-03 1.37218E-02 1.80233E-02 3.22114E-03 0.159215 2 1 80.0 0.0 180.0 1.14812E-01 3.69955E-03 2.92681E-02 3.29676E-02 2.77037E-03 0.254922 2 4 80.0 45.0 135.0 1.15366E-01 3.69354E-03 3.03775E-02 3.40711E-02 2.76586E-03 0.263315 2 7 80.0 90.0 90.0 1.19950E-01 3.69380E-03 3.25224E-02 3.62162E-02 2.76606E-03 0.271133 1 1 87.5 0.0 180.0 1.73082E-01 3.00385E-03 5.09984E-02 5.40023E-02 2.24940E-03 0.294649 1 4 87.5 45.0 135.0 1.71009E-01 2.85369E-03 5.44265E-02 5.72802E-02 2.13695E-03 0.318267 1 7 87.5 90.0 90.0 1.70691E-01 3.15066E-03 5.73688E-02 6.05194E-02 2.35934E-03 0.336097 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 5.225E-02 4.405E-01 1.135E-01 1.156E-01 1.237E-01 3.913E-02 1.075E+00 4.368E-03 3.271E-03 1 0.00 0.00 8.105E-03 5.196E+00 1.654E-02 1.810E-02 2.006E-02 6.182E-03 3.925E+00 3 0.77 1.00 6.980E-03 4.094E+00 1.561E-02 1.755E-02 2.068E-02 6.213E-03 4.028E+00 5 1.54 2.00 5.981E-03 3.214E+00 1.452E-02 1.646E-02 1.963E-02 6.238E-03 4.109E+00 7 2.31 3.00 5.106E-03 2.517E+00 1.315E-02 1.499E-02 1.798E-02 6.260E-03 4.176E+00 9 3.09 4.00 4.345E-03 1.970E+00 1.173E-02 1.341E-02 1.614E-02 6.278E-03 4.234E+00 11 3.86 5.00 3.687E-03 1.540E+00 1.035E-02 1.185E-02 1.429E-02 6.294E-03 4.285E+00 13 4.63 6.00 3.122E-03 1.205E+00 9.057E-03 1.039E-02 1.253E-02 6.309E-03 4.329E+00 15 5.40 7.00 2.637E-03 9.442E-01 7.881E-03 9.043E-03 1.090E-02 6.322E-03 4.370E+00 17 6.17 8.00 2.224E-03 7.407E-01 6.826E-03 7.829E-03 9.424E-03 6.334E-03 4.406E+00 19 6.94 9.00 1.872E-03 5.821E-01 5.888E-03 6.746E-03 8.102E-03 6.345E-03 4.439E+00 21 7.72 10.00 1.574E-03 4.584E-01 5.061E-03 5.791E-03 6.934E-03 6.355E-03 4.469E+00 Waveband 9 of 40 completed in 3.2 sec. * * * * * Output for wavelength band 10 (440.0 to 450.0 nm; nominal wavelength = 445.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 445.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 440.0 nm to 450.0 nm: Ed(diffuse) = 4.773E-01 Ed(direct) = 1.097E+00 Ed(total) = 1.574E+00 Absorption Coefficients of Individual Components at 445.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0075 0.1000 0.0192 0.1267 3 0.753 1.000 0.0075 0.1000 0.0192 0.1267 5 1.506 2.000 0.0075 0.1000 0.0192 0.1267 7 2.259 3.000 0.0075 0.1000 0.0192 0.1267 9 3.012 4.000 0.0075 0.1000 0.0192 0.1267 11 3.765 5.000 0.0075 0.1000 0.0192 0.1267 13 4.518 6.000 0.0075 0.1000 0.0192 0.1267 15 5.271 7.000 0.0075 0.1000 0.0192 0.1267 17 6.024 8.000 0.0075 0.1000 0.0192 0.1267 19 6.777 9.000 0.0075 0.1000 0.0192 0.1267 21 7.530 10.000 0.0075 0.1000 0.0192 0.1267 Scattering Coefficients of Individual Components at 445.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0048 0.6214 0.0000 0.6262 3 0.753 1.000 0.0048 0.6214 0.0000 0.6262 5 1.506 2.000 0.0048 0.6214 0.0000 0.6262 7 2.259 3.000 0.0048 0.6214 0.0000 0.6262 9 3.012 4.000 0.0048 0.6214 0.0000 0.6262 11 3.765 5.000 0.0048 0.6214 0.0000 0.6262 13 4.518 6.000 0.0048 0.6214 0.0000 0.6262 15 5.271 7.000 0.0048 0.6214 0.0000 0.6262 17 6.024 8.000 0.0048 0.6214 0.0000 0.6262 19 6.777 9.000 0.0048 0.6214 0.0000 0.6262 21 7.530 10.000 0.0048 0.6214 0.0000 0.6262 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 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00239 0.00621 0.00000 0.00860 3 0.753 1.000 0.00239 0.00621 0.00000 0.00860 5 1.506 2.000 0.00239 0.00621 0.00000 0.00860 7 2.259 3.000 0.00239 0.00621 0.00000 0.00860 9 3.012 4.000 0.00239 0.00621 0.00000 0.00860 11 3.765 5.000 0.00239 0.00621 0.00000 0.00860 13 4.518 6.000 0.00239 0.00621 0.00000 0.00860 15 5.271 7.000 0.00239 0.00621 0.00000 0.00860 17 6.024 8.000 0.00239 0.00621 0.00000 0.00860 19 6.777 9.000 0.00239 0.00621 0.00000 0.00860 21 7.530 10.000 0.00239 0.00621 0.00000 0.00860 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 0.1267 0.6262 0.7530 0.8317 0.00860 0.01374 3 0.753 1.000 0.1267 0.6262 0.7530 0.8317 0.00860 0.01374 5 1.506 2.000 0.1267 0.6262 0.7530 0.8317 0.00860 0.01374 7 2.259 3.000 0.1267 0.6262 0.7530 0.8317 0.00860 0.01374 9 3.012 4.000 0.1267 0.6262 0.7530 0.8317 0.00860 0.01374 11 3.765 5.000 0.1267 0.6262 0.7530 0.8317 0.00860 0.01374 13 4.518 6.000 0.1267 0.6262 0.7530 0.8317 0.00860 0.01374 15 5.271 7.000 0.1267 0.6262 0.7530 0.8317 0.00860 0.01374 17 6.024 8.000 0.1267 0.6262 0.7530 0.8317 0.00860 0.01374 19 6.777 9.000 0.1267 0.6262 0.7530 0.8317 0.00860 0.01374 21 7.530 10.000 0.1267 0.6262 0.7530 0.8317 0.00860 0.01374 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3047E-01 8 20.00 7.6699E-01 7 30.00 5.6525E-01 6 40.00 3.8042E-01 5 50.00 2.3986E-01 4 60.00 1.4581E-01 3 70.00 8.8003E-02 2 80.00 5.4397E-02 1 87.50 3.8650E-02 1 92.50 3.0534E-02 2 100.00 2.2907E-02 3 110.00 1.6611E-02 4 120.00 1.2779E-02 5 130.00 1.0454E-02 6 140.00 9.0334E-03 7 150.00 8.1691E-03 8 160.00 7.6597E-03 9 170.00 7.3919E-03 10 180.00 7.2981E-03 Asymptotic AOP values are MUu(inf) = 0.3742 MUd(inf) = 0.7474 MU(inf) = 0.6838 R(inf) = 0.0301 Lu(inf)/Ed(inf) = 0.006198 (1/sr) k(inf) = 0.1854 (1/m) absorp(check) = 0.1268 = 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 1.6659E-01 2.0021E+00 2.1687E+00 6.5468E-02 1.5742E+00 0.3930 0.7863 0.6957 4.1588E-02 1 0.00 0.00 8.6029E-02 1.6838E+00 1.7698E+00 3.6856E-02 1.5456E+00 0.4284 0.9179 0.8525 2.3845E-02 3 0.75 1.00 7.8075E-02 1.4865E+00 1.5646E+00 3.2728E-02 1.3308E+00 0.4192 0.8953 0.8297 2.4592E-02 5 1.51 2.00 6.9655E-02 1.3004E+00 1.3701E+00 2.8756E-02 1.1415E+00 0.4128 0.8778 0.8122 2.5190E-02 7 2.26 3.00 6.1456E-02 1.1301E+00 1.1916E+00 2.5081E-02 9.7617E-01 0.4081 0.8638 0.7982 2.5693E-02 9 3.01 4.00 5.3798E-02 9.7725E-01 1.0310E+00 2.1754E-02 8.3257E-01 0.4044 0.8520 0.7864 2.6129E-02 11 3.76 5.00 4.6811E-02 8.4164E-01 8.8845E-01 1.8784E-02 7.0848E-01 0.4013 0.8418 0.7763 2.6514E-02 13 4.52 6.00 4.0535E-02 7.2238E-01 7.6292E-01 1.6160E-02 6.0166E-01 0.3987 0.8329 0.7674 2.6859E-02 15 5.27 7.00 3.4958E-02 6.1821E-01 6.5316E-01 1.3858E-02 5.1002E-01 0.3964 0.8250 0.7596 2.7170E-02 17 6.02 8.00 3.0044E-02 5.2769E-01 5.5773E-01 1.1850E-02 4.3163E-01 0.3944 0.8180 0.7527 2.7454E-02 19 6.78 9.00 2.5742E-02 4.4938E-01 4.7512E-01 1.0108E-02 3.6474E-01 0.3927 0.8117 0.7464 2.7712E-02 21 7.53 10.00 2.1997E-02 3.8190E-01 4.0390E-01 8.6027E-03 3.0780E-01 0.3911 0.8060 0.7408 2.7949E-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 0.09153 0.12102 0.11958 0.11306 0.14745 0.14829 0.14176 1.000 1.010 1.005 0.10685 0.12974 0.12860 0.12485 0.15169 0.15236 0.14717 2.000 2.010 2.005 0.12047 0.13744 0.13657 0.13349 0.15507 0.15563 0.15130 3.000 3.010 3.005 0.12960 0.14306 0.14237 0.13977 0.15789 0.15837 0.15464 4.000 4.010 4.005 0.13637 0.14751 0.14693 0.14470 0.16032 0.16074 0.15747 5.000 5.010 5.005 0.14171 0.15120 0.15070 0.14875 0.16246 0.16283 0.15992 6.000 6.010 6.005 0.14612 0.15435 0.15391 0.15219 0.16437 0.16471 0.16209 7.000 7.010 7.005 0.14985 0.15709 0.15670 0.15518 0.16610 0.16640 0.16403 8.000 8.010 8.005 0.15309 0.15953 0.15918 0.15782 0.16766 0.16794 0.16578 9.000 9.010 9.005 0.15595 0.16171 0.16140 0.16017 0.16910 0.16935 0.16738 10.000 10.010 10.005 0.15850 0.16369 0.16340 0.16230 0.17041 0.17064 0.16883 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 445.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 5.05466E-01 5.03694E-03 5.68568E-02 6.18937E-02 3.19963E-03 0.112484 9 1 10.0 0.0 180.0 2.21610E-01 5.11988E-03 2.51267E-02 3.02466E-02 3.25231E-03 0.113383 9 4 10.0 45.0 135.0 2.47684E-01 5.09647E-03 2.88488E-02 3.39453E-02 3.23744E-03 0.116474 9 7 10.0 90.0 90.0 3.46052E-01 5.07816E-03 4.32500E-02 4.83282E-02 3.22581E-03 0.124981 8 1 20.0 0.0 180.0 1.32482E-01 5.16322E-03 8.45900E-03 1.36222E-02 3.27985E-03 0.063850 8 4 20.0 45.0 135.0 1.47835E-01 5.11025E-03 1.08009E-02 1.59112E-02 3.24620E-03 0.073061 8 7 20.0 90.0 90.0 2.07757E-01 5.09262E-03 2.13285E-02 2.64211E-02 3.23500E-03 0.102661 7 1 30.0 0.0 180.0 9.33462E-02 5.23170E-03 3.07868E-03 8.31038E-03 3.32335E-03 0.032981 7 4 30.0 45.0 135.0 1.01939E-01 5.22337E-03 3.82842E-03 9.05179E-03 3.31806E-03 0.037556 7 7 30.0 90.0 90.0 1.34004E-01 5.17638E-03 7.57478E-03 1.27512E-02 3.28821E-03 0.056527 6 1 40.0 0.0 180.0 7.66809E-02 5.27729E-03 2.23884E-03 7.51613E-03 3.35231E-03 0.029197 6 4 40.0 45.0 135.0 8.21010E-02 5.26327E-03 2.45115E-03 7.71442E-03 3.34340E-03 0.029855 6 7 40.0 90.0 90.0 1.00786E-01 5.21921E-03 3.46452E-03 8.68373E-03 3.31541E-03 0.034375 5 1 50.0 0.0 180.0 7.10238E-02 5.36167E-03 2.87001E-03 8.23168E-03 3.40591E-03 0.040409 5 4 50.0 45.0 135.0 7.50136E-02 5.31984E-03 3.02868E-03 8.34851E-03 3.37933E-03 0.040375 5 7 50.0 90.0 90.0 8.78302E-02 5.28012E-03 3.58974E-03 8.86987E-03 3.35411E-03 0.040871 4 1 60.0 0.0 180.0 7.36678E-02 5.30614E-03 5.65425E-03 1.09604E-02 3.37063E-03 0.076753 4 4 60.0 45.0 135.0 7.68533E-02 5.25811E-03 5.82966E-03 1.10878E-02 3.34012E-03 0.075854 4 7 60.0 90.0 90.0 8.69523E-02 5.27899E-03 6.53442E-03 1.18134E-02 3.35338E-03 0.075150 3 1 70.0 0.0 180.0 8.83488E-02 4.95824E-03 1.41380E-02 1.90963E-02 3.14964E-03 0.160025 3 4 70.0 45.0 135.0 9.06839E-02 4.96566E-03 1.44749E-02 1.94406E-02 3.15435E-03 0.159619 3 7 70.0 90.0 90.0 9.88986E-02 4.97850E-03 1.57461E-02 2.07246E-02 3.16251E-03 0.159215 2 1 80.0 0.0 180.0 1.31749E-01 4.27841E-03 3.35859E-02 3.78643E-02 2.71778E-03 0.254922 2 4 80.0 45.0 135.0 1.32385E-01 4.27324E-03 3.48590E-02 3.91322E-02 2.71450E-03 0.263315 2 7 80.0 90.0 90.0 1.37646E-01 4.27840E-03 3.73202E-02 4.15986E-02 2.71778E-03 0.271133 1 1 87.5 0.0 180.0 1.98616E-01 3.47574E-03 5.85220E-02 6.19978E-02 2.20791E-03 0.294649 1 4 87.5 45.0 135.0 1.96237E-01 3.30352E-03 6.24559E-02 6.57594E-02 2.09850E-03 0.318267 1 7 87.5 90.0 90.0 1.95873E-01 3.65200E-03 6.58321E-02 6.94841E-02 2.31987E-03 0.336097 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 6.189E-02 5.055E-01 1.303E-01 1.327E-01 1.420E-01 3.932E-02 1.058E+00 5.037E-03 3.200E-03 1 0.00 0.00 9.347E-03 6.165E+00 1.919E-02 2.105E-02 2.340E-02 6.047E-03 3.943E+00 3 0.75 1.00 8.089E-03 4.890E+00 1.819E-02 2.050E-02 2.422E-02 6.078E-03 4.046E+00 5 1.51 2.00 6.967E-03 3.865E+00 1.700E-02 1.932E-02 2.311E-02 6.103E-03 4.127E+00 7 2.26 3.00 5.978E-03 3.048E+00 1.548E-02 1.769E-02 2.129E-02 6.124E-03 4.195E+00 9 3.01 4.00 5.115E-03 2.401E+00 1.388E-02 1.592E-02 1.922E-02 6.143E-03 4.253E+00 11 3.76 5.00 4.364E-03 1.890E+00 1.232E-02 1.415E-02 1.712E-02 6.160E-03 4.304E+00 13 4.52 6.00 3.715E-03 1.489E+00 1.085E-02 1.248E-02 1.510E-02 6.175E-03 4.350E+00 15 5.27 7.00 3.156E-03 1.174E+00 9.492E-03 1.092E-02 1.322E-02 6.188E-03 4.391E+00 17 6.02 8.00 2.676E-03 9.264E-01 8.269E-03 9.513E-03 1.149E-02 6.200E-03 4.428E+00 19 6.78 9.00 2.266E-03 7.325E-01 7.174E-03 8.247E-03 9.942E-03 6.211E-03 4.462E+00 21 7.53 10.00 1.915E-03 5.803E-01 6.203E-03 7.121E-03 8.561E-03 6.222E-03 4.492E+00 Waveband 10 of 40 completed in 3.1 sec. * * * * * Output for wavelength band 11 (450.0 to 460.0 nm; nominal wavelength = 455.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 455.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 450.0 nm to 460.0 nm: Ed(diffuse) = 4.975E-01 Ed(direct) = 1.185E+00 Ed(total) = 1.682E+00 Absorption Coefficients of Individual Components at 455.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0096 0.0949 0.0167 0.1212 3 0.733 1.000 0.0096 0.0949 0.0167 0.1212 5 1.467 2.000 0.0096 0.0949 0.0167 0.1212 7 2.200 3.000 0.0096 0.0949 0.0167 0.1212 9 2.933 4.000 0.0096 0.0949 0.0167 0.1212 11 3.667 5.000 0.0096 0.0949 0.0167 0.1212 13 4.400 6.000 0.0096 0.0949 0.0167 0.1212 15 5.133 7.000 0.0096 0.0949 0.0167 0.1212 17 5.866 8.000 0.0096 0.0949 0.0167 0.1212 19 6.600 9.000 0.0096 0.0949 0.0167 0.1212 21 7.333 10.000 0.0096 0.0949 0.0167 0.1212 Scattering Coefficients of Individual Components at 455.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0043 0.6078 0.0000 0.6121 3 0.733 1.000 0.0043 0.6078 0.0000 0.6121 5 1.467 2.000 0.0043 0.6078 0.0000 0.6121 7 2.200 3.000 0.0043 0.6078 0.0000 0.6121 9 2.933 4.000 0.0043 0.6078 0.0000 0.6121 11 3.667 5.000 0.0043 0.6078 0.0000 0.6121 13 4.400 6.000 0.0043 0.6078 0.0000 0.6121 15 5.133 7.000 0.0043 0.6078 0.0000 0.6121 17 5.866 8.000 0.0043 0.6078 0.0000 0.6121 19 6.600 9.000 0.0043 0.6078 0.0000 0.6121 21 7.333 10.000 0.0043 0.6078 0.0000 0.6121 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 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00217 0.00608 0.00000 0.00825 3 0.733 1.000 0.00217 0.00608 0.00000 0.00825 5 1.467 2.000 0.00217 0.00608 0.00000 0.00825 7 2.200 3.000 0.00217 0.00608 0.00000 0.00825 9 2.933 4.000 0.00217 0.00608 0.00000 0.00825 11 3.667 5.000 0.00217 0.00608 0.00000 0.00825 13 4.400 6.000 0.00217 0.00608 0.00000 0.00825 15 5.133 7.000 0.00217 0.00608 0.00000 0.00825 17 5.866 8.000 0.00217 0.00608 0.00000 0.00825 19 6.600 9.000 0.00217 0.00608 0.00000 0.00825 21 7.333 10.000 0.00217 0.00608 0.00000 0.00825 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 0.1212 0.6121 0.7333 0.8347 0.00825 0.01348 3 0.733 1.000 0.1212 0.6121 0.7333 0.8347 0.00825 0.01348 5 1.467 2.000 0.1212 0.6121 0.7333 0.8347 0.00825 0.01348 7 2.200 3.000 0.1212 0.6121 0.7333 0.8347 0.00825 0.01348 9 2.933 4.000 0.1212 0.6121 0.7333 0.8347 0.00825 0.01348 11 3.667 5.000 0.1212 0.6121 0.7333 0.8347 0.00825 0.01348 13 4.400 6.000 0.1212 0.6121 0.7333 0.8347 0.00825 0.01348 15 5.133 7.000 0.1212 0.6121 0.7333 0.8347 0.00825 0.01348 17 5.866 8.000 0.1212 0.6121 0.7333 0.8347 0.00825 0.01348 19 6.600 9.000 0.1212 0.6121 0.7333 0.8347 0.00825 0.01348 21 7.333 10.000 0.1212 0.6121 0.7333 0.8347 0.00825 0.01348 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3136E-01 8 20.00 7.6966E-01 7 30.00 5.6936E-01 6 40.00 3.8492E-01 5 50.00 2.4384E-01 4 60.00 1.4885E-01 3 70.00 9.0132E-02 2 80.00 5.5824E-02 1 87.50 3.9685E-02 1 92.50 3.1343E-02 2 100.00 2.3495E-02 3 110.00 1.7008E-02 4 120.00 1.3052E-02 5 130.00 1.0649E-02 6 140.00 9.1793E-03 7 150.00 8.2837E-03 8 160.00 7.7553E-03 9 170.00 7.4772E-03 10 180.00 7.3799E-03 Asymptotic AOP values are MUu(inf) = 0.3730 MUd(inf) = 0.7457 MU(inf) = 0.6816 R(inf) = 0.0304 Lu(inf)/Ed(inf) = 0.006214 (1/sr) k(inf) = 0.1778 (1/m) absorp(check) = 0.1212 = 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 1.7558E-01 2.1291E+00 2.3047E+00 6.9618E-02 1.6823E+00 0.3965 0.7901 0.6997 4.1382E-02 1 0.00 0.00 9.2596E-02 1.7987E+00 1.8913E+00 3.9634E-02 1.6523E+00 0.4280 0.9186 0.8527 2.3987E-02 3 0.73 1.00 8.4542E-02 1.5980E+00 1.6825E+00 3.5420E-02 1.4323E+00 0.4190 0.8963 0.8302 2.4729E-02 5 1.47 2.00 7.5941E-02 1.4073E+00 1.4833E+00 3.1335E-02 1.2371E+00 0.4126 0.8790 0.8129 2.5330E-02 7 2.20 3.00 6.7484E-02 1.2316E+00 1.2991E+00 2.7526E-02 1.0653E+00 0.4079 0.8650 0.7989 2.5837E-02 9 2.93 4.00 5.9511E-02 1.0727E+00 1.1322E+00 2.4049E-02 9.1516E-01 0.4041 0.8531 0.7870 2.6278E-02 11 3.67 5.00 5.2171E-02 9.3064E-01 9.8281E-01 2.0920E-02 7.8443E-01 0.4010 0.8429 0.7769 2.6669E-02 13 4.40 6.00 4.5519E-02 8.0471E-01 8.5023E-01 1.8132E-02 6.7106E-01 0.3983 0.8339 0.7679 2.7020E-02 15 5.13 7.00 3.9557E-02 6.9383E-01 7.3339E-01 1.5666E-02 5.7307E-01 0.3960 0.8260 0.7600 2.7337E-02 17 5.87 8.00 3.4258E-02 5.9672E-01 6.3097E-01 1.3498E-02 4.8861E-01 0.3940 0.8188 0.7530 2.7626E-02 19 6.60 9.00 2.9580E-02 5.1204E-01 5.4162E-01 1.1602E-02 4.1599E-01 0.3922 0.8124 0.7466 2.7889E-02 21 7.33 10.00 2.5473E-02 4.3848E-01 4.6396E-01 9.9500E-03 3.5370E-01 0.3906 0.8066 0.7409 2.8131E-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 0.08614 0.11512 0.11371 0.10705 0.14088 0.14171 0.13525 1.000 1.010 1.005 0.10029 0.12318 0.12203 0.11816 0.14487 0.14555 0.14036 2.000 2.010 2.005 0.11343 0.13053 0.12966 0.12648 0.14808 0.14865 0.14432 3.000 3.010 3.005 0.12232 0.13595 0.13524 0.13257 0.15078 0.15126 0.14753 4.000 4.010 4.005 0.12894 0.14026 0.13966 0.13737 0.15311 0.15353 0.15026 5.000 5.010 5.005 0.13419 0.14384 0.14333 0.14133 0.15517 0.15554 0.15263 6.000 6.010 6.005 0.13852 0.14690 0.14645 0.14470 0.15701 0.15735 0.15474 7.000 7.010 7.005 0.14220 0.14958 0.14919 0.14763 0.15868 0.15899 0.15663 8.000 8.010 8.005 0.14540 0.15196 0.15161 0.15022 0.16020 0.16048 0.15834 9.000 9.010 9.005 0.14822 0.15410 0.15378 0.15254 0.16159 0.16185 0.15989 10.000 10.010 10.005 0.15074 0.15604 0.15575 0.15463 0.16287 0.16310 0.16132 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 455.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 5.26895E-01 5.39563E-03 6.11514E-02 6.65470E-02 3.20729E-03 0.116060 9 1 10.0 0.0 180.0 2.31005E-01 5.48349E-03 2.69556E-02 3.24391E-02 3.25951E-03 0.116688 9 4 10.0 45.0 135.0 2.58188E-01 5.45889E-03 3.09631E-02 3.64220E-02 3.24489E-03 0.119925 9 7 10.0 90.0 90.0 3.60706E-01 5.44046E-03 4.64810E-02 5.19214E-02 3.23394E-03 0.128861 8 1 20.0 0.0 180.0 1.38099E-01 5.53046E-03 9.01125E-03 1.45417E-02 3.28743E-03 0.065252 8 4 20.0 45.0 135.0 1.54103E-01 5.47451E-03 1.15275E-02 1.70020E-02 3.25418E-03 0.074804 8 7 20.0 90.0 90.0 2.16565E-01 5.45763E-03 2.28569E-02 2.83146E-02 3.24414E-03 0.105543 7 1 30.0 0.0 180.0 9.73036E-02 5.60496E-03 3.23364E-03 8.83860E-03 3.33172E-03 0.033232 7 4 30.0 45.0 135.0 1.06261E-01 5.59717E-03 4.03416E-03 9.63133E-03 3.32709E-03 0.037965 7 7 30.0 90.0 90.0 1.39685E-01 5.54967E-03 8.04804E-03 1.35977E-02 3.29885E-03 0.057616 6 1 40.0 0.0 180.0 7.99318E-02 5.65630E-03 2.33500E-03 7.99130E-03 3.36223E-03 0.029212 6 4 40.0 45.0 135.0 8.55816E-02 5.64283E-03 2.55788E-03 8.20072E-03 3.35423E-03 0.029888 6 7 40.0 90.0 90.0 1.05059E-01 5.59956E-03 3.62876E-03 9.22832E-03 3.32851E-03 0.034540 5 1 50.0 0.0 180.0 7.40349E-02 5.74947E-03 2.99184E-03 8.74130E-03 3.41762E-03 0.040411 5 4 50.0 45.0 135.0 7.81938E-02 5.70653E-03 3.15708E-03 8.86361E-03 3.39209E-03 0.040375 5 7 50.0 90.0 90.0 9.15537E-02 5.66884E-03 3.74272E-03 9.41156E-03 3.36969E-03 0.040880 4 1 60.0 0.0 180.0 7.67910E-02 5.69273E-03 5.89396E-03 1.15867E-02 3.38389E-03 0.076753 4 4 60.0 45.0 135.0 8.01115E-02 5.64342E-03 6.07681E-03 1.17202E-02 3.35458E-03 0.075854 4 7 60.0 90.0 90.0 9.06386E-02 5.67155E-03 6.81145E-03 1.24830E-02 3.37130E-03 0.075150 3 1 70.0 0.0 180.0 9.20943E-02 5.32235E-03 1.47374E-02 2.00598E-02 3.16373E-03 0.160025 3 4 70.0 45.0 135.0 9.45284E-02 5.33268E-03 1.50886E-02 2.04212E-02 3.16987E-03 0.159619 3 7 70.0 90.0 90.0 1.03091E-01 5.35263E-03 1.64137E-02 2.17663E-02 3.18173E-03 0.159215 2 1 80.0 0.0 180.0 1.37335E-01 4.59476E-03 3.50098E-02 3.96045E-02 2.73123E-03 0.254922 2 4 80.0 45.0 135.0 1.37998E-01 4.59147E-03 3.63369E-02 4.09283E-02 2.72928E-03 0.263315 2 7 80.0 90.0 90.0 1.43481E-01 4.60276E-03 3.89024E-02 4.35052E-02 2.73599E-03 0.271133 1 1 87.5 0.0 180.0 2.07036E-01 3.73428E-03 6.10031E-02 6.47373E-02 2.21974E-03 0.294649 1 4 87.5 45.0 135.0 2.04557E-01 3.55109E-03 6.51037E-02 6.86548E-02 2.11085E-03 0.318267 1 7 87.5 90.0 90.0 2.04177E-01 3.93096E-03 6.86231E-02 7.25540E-02 2.33665E-03 0.336097 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 6.655E-02 5.269E-01 1.359E-01 1.384E-01 1.481E-01 3.956E-02 1.046E+00 5.396E-03 3.207E-03 1 0.00 0.00 1.001E-02 6.627E+00 2.061E-02 2.266E-02 2.524E-02 6.059E-03 3.959E+00 3 0.73 1.00 8.722E-03 5.300E+00 1.962E-02 2.214E-02 2.621E-02 6.090E-03 4.061E+00 5 1.47 2.00 7.565E-03 4.224E+00 1.846E-02 2.102E-02 2.517E-02 6.115E-03 4.142E+00 7 2.20 3.00 6.538E-03 3.359E+00 1.693E-02 1.938E-02 2.337E-02 6.137E-03 4.210E+00 9 2.93 4.00 5.633E-03 2.668E+00 1.530E-02 1.757E-02 2.126E-02 6.155E-03 4.269E+00 11 3.67 5.00 4.841E-03 2.118E+00 1.368E-02 1.575E-02 1.909E-02 6.172E-03 4.321E+00 13 4.40 6.00 4.152E-03 1.682E+00 1.214E-02 1.399E-02 1.698E-02 6.187E-03 4.367E+00 15 5.13 7.00 3.553E-03 1.337E+00 1.071E-02 1.235E-02 1.498E-02 6.200E-03 4.409E+00 17 5.87 8.00 3.035E-03 1.064E+00 9.399E-03 1.084E-02 1.313E-02 6.212E-03 4.447E+00 19 6.60 9.00 2.589E-03 8.478E-01 8.219E-03 9.470E-03 1.145E-02 6.223E-03 4.482E+00 21 7.33 10.00 2.205E-03 6.768E-01 7.162E-03 8.243E-03 9.940E-03 6.233E-03 4.513E+00 Waveband 11 of 40 completed in 3.0 sec. * * * * * Output for wavelength band 12 (460.0 to 470.0 nm; nominal wavelength = 465.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 465.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 460.0 nm to 470.0 nm: Ed(diffuse) = 4.834E-01 Ed(direct) = 1.190E+00 Ed(total) = 1.673E+00 Absorption Coefficients of Individual Components at 465.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0101 0.0928 0.0145 0.1174 3 0.716 1.000 0.0101 0.0928 0.0145 0.1174 5 1.432 2.000 0.0101 0.0928 0.0145 0.1174 7 2.148 3.000 0.0101 0.0928 0.0145 0.1174 9 2.864 4.000 0.0101 0.0928 0.0145 0.1174 11 3.580 5.000 0.0101 0.0928 0.0145 0.1174 13 4.297 6.000 0.0101 0.0928 0.0145 0.1174 15 5.013 7.000 0.0101 0.0928 0.0145 0.1174 17 5.729 8.000 0.0101 0.0928 0.0145 0.1174 19 6.445 9.000 0.0101 0.0928 0.0145 0.1174 21 7.161 10.000 0.0101 0.0928 0.0145 0.1174 Scattering Coefficients of Individual Components at 465.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0040 0.5947 0.0000 0.5987 3 0.716 1.000 0.0040 0.5947 0.0000 0.5987 5 1.432 2.000 0.0040 0.5947 0.0000 0.5987 7 2.148 3.000 0.0040 0.5947 0.0000 0.5987 9 2.864 4.000 0.0040 0.5947 0.0000 0.5987 11 3.580 5.000 0.0040 0.5947 0.0000 0.5987 13 4.297 6.000 0.0040 0.5947 0.0000 0.5987 15 5.013 7.000 0.0040 0.5947 0.0000 0.5987 17 5.729 8.000 0.0040 0.5947 0.0000 0.5987 19 6.445 9.000 0.0040 0.5947 0.0000 0.5987 21 7.161 10.000 0.0040 0.5947 0.0000 0.5987 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 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00198 0.00595 0.00000 0.00792 3 0.716 1.000 0.00198 0.00595 0.00000 0.00792 5 1.432 2.000 0.00198 0.00595 0.00000 0.00792 7 2.148 3.000 0.00198 0.00595 0.00000 0.00792 9 2.864 4.000 0.00198 0.00595 0.00000 0.00792 11 3.580 5.000 0.00198 0.00595 0.00000 0.00792 13 4.297 6.000 0.00198 0.00595 0.00000 0.00792 15 5.013 7.000 0.00198 0.00595 0.00000 0.00792 17 5.729 8.000 0.00198 0.00595 0.00000 0.00792 19 6.445 9.000 0.00198 0.00595 0.00000 0.00792 21 7.161 10.000 0.00198 0.00595 0.00000 0.00792 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 0.1174 0.5987 0.7161 0.8360 0.00792 0.01324 3 0.716 1.000 0.1174 0.5987 0.7161 0.8360 0.00792 0.01324 5 1.432 2.000 0.1174 0.5987 0.7161 0.8360 0.00792 0.01324 7 2.148 3.000 0.1174 0.5987 0.7161 0.8360 0.00792 0.01324 9 2.864 4.000 0.1174 0.5987 0.7161 0.8360 0.00792 0.01324 11 3.580 5.000 0.1174 0.5987 0.7161 0.8360 0.00792 0.01324 13 4.297 6.000 0.1174 0.5987 0.7161 0.8360 0.00792 0.01324 15 5.013 7.000 0.1174 0.5987 0.7161 0.8360 0.00792 0.01324 17 5.729 8.000 0.1174 0.5987 0.7161 0.8360 0.00792 0.01324 19 6.445 9.000 0.1174 0.5987 0.7161 0.8360 0.00792 0.01324 21 7.161 10.000 0.1174 0.5987 0.7161 0.8360 0.00792 0.01324 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3173E-01 8 20.00 7.7077E-01 7 30.00 5.7107E-01 6 40.00 3.8677E-01 5 50.00 2.4544E-01 4 60.00 1.5004E-01 3 70.00 9.0929E-02 2 80.00 5.6324E-02 1 87.50 4.0022E-02 1 92.50 3.1586E-02 2 100.00 2.3647E-02 3 110.00 1.7084E-02 4 120.00 1.3081E-02 5 130.00 1.0648E-02 6 140.00 9.1589E-03 7 150.00 8.2514E-03 8 160.00 7.7157E-03 9 170.00 7.4337E-03 10 180.00 7.3351E-03 Asymptotic AOP values are MUu(inf) = 0.3720 MUd(inf) = 0.7451 MU(inf) = 0.6812 R(inf) = 0.0303 Lu(inf)/Ed(inf) = 0.006155 (1/sr) k(inf) = 0.1724 (1/m) absorp(check) = 0.1174 = 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 1.7211E-01 2.1080E+00 2.2801E+00 6.8780E-02 1.6731E+00 0.3996 0.7937 0.7036 4.1110E-02 1 0.00 0.00 9.1913E-02 1.7876E+00 1.8795E+00 3.9306E-02 1.6436E+00 0.4276 0.9195 0.8536 2.3915E-02 3 0.72 1.00 8.4252E-02 1.5949E+00 1.6791E+00 3.5277E-02 1.4314E+00 0.4187 0.8975 0.8315 2.4644E-02 5 1.43 2.00 7.6029E-02 1.4112E+00 1.4872E+00 3.1355E-02 1.2424E+00 0.4124 0.8804 0.8143 2.5237E-02 7 2.15 3.00 6.7893E-02 1.2411E+00 1.3089E+00 2.7677E-02 1.0753E+00 0.4077 0.8664 0.8003 2.5739E-02 9 2.86 4.00 6.0176E-02 1.0864E+00 1.1465E+00 2.4303E-02 9.2842E-01 0.4039 0.8546 0.7886 2.6177E-02 11 3.58 5.00 5.3028E-02 9.4735E-01 1.0004E+00 2.1250E-02 7.9991E-01 0.4007 0.8444 0.7784 2.6565E-02 13 4.30 6.00 4.6511E-02 8.2345E-01 8.6996E-01 1.8513E-02 6.8789E-01 0.3980 0.8354 0.7694 2.6913E-02 15 5.01 7.00 4.0635E-02 7.1376E-01 7.5440E-01 1.6080E-02 5.9055E-01 0.3957 0.8274 0.7615 2.7229E-02 17 5.73 8.00 3.5381E-02 6.1715E-01 6.5254E-01 1.3928E-02 5.0620E-01 0.3937 0.8202 0.7544 2.7516E-02 19 6.44 9.00 3.0716E-02 5.3245E-01 5.6316E-01 1.2036E-02 4.3329E-01 0.3918 0.8138 0.7480 2.7778E-02 21 7.16 10.00 2.6596E-02 4.5845E-01 4.8504E-01 1.0378E-02 3.7039E-01 0.3902 0.8079 0.7422 2.8019E-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 0.08251 0.11108 0.10968 0.10305 0.13627 0.13709 0.13083 1.000 1.010 1.005 0.09592 0.11868 0.11754 0.11365 0.14006 0.14073 0.13571 2.000 2.010 2.005 0.10866 0.12574 0.12487 0.12169 0.14314 0.14370 0.13952 3.000 3.010 3.005 0.11732 0.13098 0.13027 0.12762 0.14573 0.14621 0.14262 4.000 4.010 4.005 0.12382 0.13516 0.13456 0.13230 0.14798 0.14840 0.14527 5.000 5.010 5.005 0.12897 0.13864 0.13813 0.13617 0.14997 0.15035 0.14757 6.000 6.010 6.005 0.13322 0.14163 0.14118 0.13947 0.15176 0.15210 0.14962 7.000 7.010 7.005 0.13685 0.14425 0.14385 0.14235 0.15338 0.15369 0.15146 8.000 8.010 8.005 0.13999 0.14658 0.14622 0.14489 0.15486 0.15514 0.15313 9.000 9.010 9.005 0.14278 0.14868 0.14836 0.14717 0.15621 0.15647 0.15465 10.000 10.010 10.005 0.14526 0.15057 0.15028 0.14923 0.15746 0.15770 0.15604 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 465.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 5.11952E-01 5.33542E-03 6.11705E-02 6.65059E-02 3.18901E-03 0.119485 9 1 10.0 0.0 180.0 2.24454E-01 5.42133E-03 2.69018E-02 3.23231E-02 3.24036E-03 0.119855 9 4 10.0 45.0 135.0 2.50868E-01 5.39740E-03 3.09144E-02 3.63118E-02 3.22606E-03 0.123230 9 7 10.0 90.0 90.0 3.50461E-01 5.38017E-03 4.64631E-02 5.18433E-02 3.21576E-03 0.132577 8 1 20.0 0.0 180.0 1.34182E-01 5.46796E-03 8.93588E-03 1.44038E-02 3.26824E-03 0.066595 8 4 20.0 45.0 135.0 1.49732E-01 5.41331E-03 1.14505E-02 1.68639E-02 3.23557E-03 0.076473 8 7 20.0 90.0 90.0 2.10423E-01 5.39826E-03 2.27896E-02 2.81879E-02 3.22657E-03 0.108304 7 1 30.0 0.0 180.0 9.45440E-02 5.54224E-03 3.16468E-03 8.70692E-03 3.31263E-03 0.033473 7 4 30.0 45.0 135.0 1.03247E-01 5.53547E-03 3.96016E-03 9.49564E-03 3.30859E-03 0.038356 7 7 30.0 90.0 90.0 1.35723E-01 5.49084E-03 7.96136E-03 1.34522E-02 3.28191E-03 0.058659 6 1 40.0 0.0 180.0 7.76649E-02 5.59454E-03 2.26994E-03 7.86448E-03 3.34390E-03 0.029227 6 4 40.0 45.0 135.0 8.31544E-02 5.58251E-03 2.48796E-03 8.07046E-03 3.33670E-03 0.029920 6 7 40.0 90.0 90.0 1.02079E-01 5.54293E-03 3.54200E-03 9.08493E-03 3.31305E-03 0.034699 5 1 50.0 0.0 180.0 7.19351E-02 5.68849E-03 2.90713E-03 8.59562E-03 3.40005E-03 0.040413 5 4 50.0 45.0 135.0 7.59762E-02 5.64757E-03 3.06754E-03 8.71511E-03 3.37559E-03 0.040375 5 7 50.0 90.0 90.0 8.89572E-02 5.61426E-03 3.63731E-03 9.25158E-03 3.35568E-03 0.040888 4 1 60.0 0.0 180.0 7.46131E-02 5.63425E-03 5.72681E-03 1.13611E-02 3.36763E-03 0.076753 4 4 60.0 45.0 135.0 7.78395E-02 5.58724E-03 5.90446E-03 1.14917E-02 3.33953E-03 0.075854 4 7 60.0 90.0 90.0 8.80680E-02 5.61975E-03 6.61827E-03 1.22380E-02 3.35896E-03 0.075150 3 1 70.0 0.0 180.0 8.94824E-02 5.26971E-03 1.43195E-02 1.95892E-02 3.14974E-03 0.160025 3 4 70.0 45.0 135.0 9.18475E-02 5.28186E-03 1.46606E-02 1.99425E-02 3.15700E-03 0.159619 3 7 70.0 90.0 90.0 1.00168E-01 5.30662E-03 1.59482E-02 2.12548E-02 3.17180E-03 0.159215 2 1 80.0 0.0 180.0 1.33440E-01 4.55090E-03 3.40168E-02 3.85677E-02 2.72010E-03 0.254922 2 4 80.0 45.0 135.0 1.34084E-01 4.54948E-03 3.53063E-02 3.98558E-02 2.71925E-03 0.263315 2 7 80.0 90.0 90.0 1.39412E-01 4.56534E-03 3.77991E-02 4.23645E-02 2.72873E-03 0.271133 1 1 87.5 0.0 180.0 2.01165E-01 3.69983E-03 5.92729E-02 6.29728E-02 2.21141E-03 0.294649 1 4 87.5 45.0 135.0 1.98755E-01 3.51982E-03 6.32573E-02 6.67771E-02 2.10382E-03 0.318267 1 7 87.5 90.0 90.0 1.98386E-01 3.90065E-03 6.66769E-02 7.05775E-02 2.33144E-03 0.336097 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 6.651E-02 5.120E-01 1.321E-01 1.345E-01 1.439E-01 3.975E-02 1.034E+00 5.335E-03 3.189E-03 1 0.00 0.00 9.900E-03 6.625E+00 2.044E-02 2.251E-02 2.511E-02 6.023E-03 3.970E+00 3 0.72 1.00 8.664E-03 5.333E+00 1.950E-02 2.204E-02 2.613E-02 6.053E-03 4.072E+00 5 1.43 2.00 7.550E-03 4.278E+00 1.843E-02 2.101E-02 2.521E-02 6.077E-03 4.153E+00 7 2.15 3.00 6.556E-03 3.424E+00 1.699E-02 1.948E-02 2.352E-02 6.097E-03 4.221E+00 9 2.86 4.00 5.677E-03 2.737E+00 1.543E-02 1.775E-02 2.152E-02 6.115E-03 4.281E+00 11 3.58 5.00 4.904E-03 2.187E+00 1.387E-02 1.599E-02 1.943E-02 6.131E-03 4.333E+00 13 4.30 6.00 4.227E-03 1.747E+00 1.237E-02 1.429E-02 1.737E-02 6.145E-03 4.380E+00 15 5.01 7.00 3.636E-03 1.397E+00 1.097E-02 1.268E-02 1.541E-02 6.157E-03 4.422E+00 17 5.73 8.00 3.122E-03 1.119E+00 9.687E-03 1.119E-02 1.359E-02 6.168E-03 4.461E+00 19 6.44 9.00 2.677E-03 8.968E-01 8.518E-03 9.834E-03 1.192E-02 6.179E-03 4.496E+00 21 7.16 10.00 2.292E-03 7.201E-01 7.463E-03 8.608E-03 1.041E-02 6.188E-03 4.528E+00 Waveband 12 of 40 completed in 2.9 sec. * * * * * Output for wavelength band 13 (470.0 to 480.0 nm; nominal wavelength = 475.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 475.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 470.0 nm to 480.0 nm: Ed(diffuse) = 4.797E-01 Ed(direct) = 1.217E+00 Ed(total) = 1.696E+00 Absorption Coefficients of Individual Components at 475.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0114 0.0856 0.0126 0.1096 3 0.695 1.000 0.0114 0.0856 0.0126 0.1096 5 1.391 2.000 0.0114 0.0856 0.0126 0.1096 7 2.086 3.000 0.0114 0.0856 0.0126 0.1096 9 2.782 4.000 0.0114 0.0856 0.0126 0.1096 11 3.477 5.000 0.0114 0.0856 0.0126 0.1096 13 4.172 6.000 0.0114 0.0856 0.0126 0.1096 15 4.868 7.000 0.0114 0.0856 0.0126 0.1096 17 5.563 8.000 0.0114 0.0856 0.0126 0.1096 19 6.259 9.000 0.0114 0.0856 0.0126 0.1096 21 6.954 10.000 0.0114 0.0856 0.0126 0.1096 Scattering Coefficients of Individual Components at 475.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0036 0.5822 0.0000 0.5858 3 0.695 1.000 0.0036 0.5822 0.0000 0.5858 5 1.391 2.000 0.0036 0.5822 0.0000 0.5858 7 2.086 3.000 0.0036 0.5822 0.0000 0.5858 9 2.782 4.000 0.0036 0.5822 0.0000 0.5858 11 3.477 5.000 0.0036 0.5822 0.0000 0.5858 13 4.172 6.000 0.0036 0.5822 0.0000 0.5858 15 4.868 7.000 0.0036 0.5822 0.0000 0.5858 17 5.563 8.000 0.0036 0.5822 0.0000 0.5858 19 6.259 9.000 0.0036 0.5822 0.0000 0.5858 21 6.954 10.000 0.0036 0.5822 0.0000 0.5858 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 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00180 0.00582 0.00000 0.00762 3 0.695 1.000 0.00180 0.00582 0.00000 0.00762 5 1.391 2.000 0.00180 0.00582 0.00000 0.00762 7 2.086 3.000 0.00180 0.00582 0.00000 0.00762 9 2.782 4.000 0.00180 0.00582 0.00000 0.00762 11 3.477 5.000 0.00180 0.00582 0.00000 0.00762 13 4.172 6.000 0.00180 0.00582 0.00000 0.00762 15 4.868 7.000 0.00180 0.00582 0.00000 0.00762 17 5.563 8.000 0.00180 0.00582 0.00000 0.00762 19 6.259 9.000 0.00180 0.00582 0.00000 0.00762 21 6.954 10.000 0.00180 0.00582 0.00000 0.00762 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 0.1096 0.5858 0.6954 0.8424 0.00762 0.01302 3 0.695 1.000 0.1096 0.5858 0.6954 0.8424 0.00762 0.01302 5 1.391 2.000 0.1096 0.5858 0.6954 0.8424 0.00762 0.01302 7 2.086 3.000 0.1096 0.5858 0.6954 0.8424 0.00762 0.01302 9 2.782 4.000 0.1096 0.5858 0.6954 0.8424 0.00762 0.01302 11 3.477 5.000 0.1096 0.5858 0.6954 0.8424 0.00762 0.01302 13 4.172 6.000 0.1096 0.5858 0.6954 0.8424 0.00762 0.01302 15 4.868 7.000 0.1096 0.5858 0.6954 0.8424 0.00762 0.01302 17 5.563 8.000 0.1096 0.5858 0.6954 0.8424 0.00762 0.01302 19 6.259 9.000 0.1096 0.5858 0.6954 0.8424 0.00762 0.01302 21 6.954 10.000 0.1096 0.5858 0.6954 0.8424 0.00762 0.01302 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3358E-01 8 20.00 7.7635E-01 7 30.00 5.7979E-01 6 40.00 3.9649E-01 5 50.00 2.5421E-01 4 60.00 1.5694E-01 3 70.00 9.5909E-02 2 80.00 5.9785E-02 1 87.50 4.2614E-02 1 92.50 3.3668E-02 2 100.00 2.5225E-02 3 110.00 1.8218E-02 4 120.00 1.3924E-02 5 130.00 1.1305E-02 6 140.00 9.6976E-03 7 150.00 8.7149E-03 8 160.00 8.1332E-03 9 170.00 7.8265E-03 10 180.00 7.7192E-03 Asymptotic AOP values are MUu(inf) = 0.3711 MUd(inf) = 0.7412 MU(inf) = 0.6751 R(inf) = 0.0316 Lu(inf)/Ed(inf) = 0.006360 (1/sr) k(inf) = 0.1624 (1/m) absorp(check) = 0.1096 = 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 1.7350E-01 2.1285E+00 2.3020E+00 6.9988E-02 1.6963E+00 0.4034 0.7969 0.7065 4.1260E-02 1 0.00 0.00 9.6576E-02 1.8141E+00 1.9107E+00 4.1302E-02 1.6676E+00 0.4277 0.9192 0.8512 2.4768E-02 3 0.70 1.00 8.9219E-02 1.6324E+00 1.7217E+00 3.7380E-02 1.4654E+00 0.4190 0.8977 0.8295 2.5507E-02 5 1.39 2.00 8.1234E-02 1.4577E+00 1.5389E+00 3.3524E-02 1.2837E+00 0.4127 0.8806 0.8124 2.6115E-02 7 2.09 3.00 7.3225E-02 1.2942E+00 1.3674E+00 2.9869E-02 1.1215E+00 0.4079 0.8666 0.7983 2.6632E-02 9 2.78 4.00 6.5530E-02 1.1438E+00 1.2094E+00 2.6478E-02 9.7760E-01 0.4041 0.8547 0.7865 2.7084E-02 11 3.48 5.00 5.8314E-02 1.0073E+00 1.0656E+00 2.3375E-02 8.5043E-01 0.4008 0.8443 0.7762 2.7486E-02 13 4.17 6.00 5.1656E-02 8.8422E-01 9.3587E-01 2.0565E-02 7.3847E-01 0.3981 0.8352 0.7671 2.7848E-02 15 4.87 7.00 4.5582E-02 7.7409E-01 8.1967E-01 1.8038E-02 6.4020E-01 0.3957 0.8270 0.7590 2.8175E-02 17 5.56 8.00 4.0089E-02 6.7605E-01 7.1614E-01 1.5780E-02 5.5418E-01 0.3936 0.8197 0.7518 2.8474E-02 19 6.26 9.00 3.5156E-02 5.8916E-01 6.2432E-01 1.3772E-02 4.7907E-01 0.3917 0.8131 0.7453 2.8748E-02 21 6.95 10.00 3.0750E-02 5.1244E-01 5.4319E-01 1.1994E-02 4.1362E-01 0.3901 0.8072 0.7394 2.8999E-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 0.07584 0.10307 0.10169 0.09524 0.12744 0.12825 0.12229 1.000 1.010 1.005 0.08735 0.10972 0.10856 0.10489 0.13093 0.13161 0.12682 2.000 2.010 2.005 0.09945 0.11641 0.11551 0.11252 0.13382 0.13439 0.13040 3.000 3.010 3.005 0.10779 0.12142 0.12069 0.11820 0.13627 0.13676 0.13335 4.000 4.010 4.005 0.11409 0.12545 0.12483 0.12272 0.13840 0.13884 0.13587 5.000 5.010 5.005 0.11911 0.12882 0.12829 0.12647 0.14030 0.14069 0.13808 6.000 6.010 6.005 0.12328 0.13172 0.13125 0.12968 0.14201 0.14237 0.14004 7.000 7.010 7.005 0.12685 0.13427 0.13386 0.13249 0.14357 0.14389 0.14181 8.000 8.010 8.005 0.12993 0.13654 0.13617 0.13497 0.14499 0.14529 0.14342 9.000 9.010 9.005 0.13267 0.13859 0.13826 0.13720 0.14630 0.14657 0.14489 10.000 10.010 10.005 0.13512 0.14045 0.14014 0.13921 0.14750 0.14775 0.14624 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 475.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 5.08021E-01 5.58297E-03 6.23435E-02 6.79265E-02 3.29135E-03 0.122718 9 1 10.0 0.0 180.0 2.22730E-01 5.67149E-03 2.73610E-02 3.30325E-02 3.34354E-03 0.122844 9 4 10.0 45.0 135.0 2.48944E-01 5.64717E-03 3.14541E-02 3.71013E-02 3.32920E-03 0.126350 9 7 10.0 90.0 90.0 3.47755E-01 5.63091E-03 4.73246E-02 5.29555E-02 3.31961E-03 0.136086 8 1 20.0 0.0 180.0 1.33152E-01 5.72119E-03 9.03609E-03 1.47573E-02 3.37283E-03 0.067863 8 4 20.0 45.0 135.0 1.48582E-01 5.66519E-03 1.15968E-02 1.72620E-02 3.33982E-03 0.078050 8 7 20.0 90.0 90.0 2.08807E-01 5.65237E-03 2.31589E-02 2.88113E-02 3.33226E-03 0.110911 7 1 30.0 0.0 180.0 9.38180E-02 5.80071E-03 3.16169E-03 8.96240E-03 3.41971E-03 0.033700 7 4 30.0 45.0 135.0 1.02454E-01 5.79530E-03 3.96762E-03 9.76292E-03 3.41652E-03 0.038726 7 7 30.0 90.0 90.0 1.34681E-01 5.75268E-03 8.03285E-03 1.37855E-02 3.39140E-03 0.059644 6 1 40.0 0.0 180.0 7.70685E-02 5.85922E-03 2.25360E-03 8.11282E-03 3.45421E-03 0.029241 6 4 40.0 45.0 135.0 8.25159E-02 5.84887E-03 2.47130E-03 8.32017E-03 3.44811E-03 0.029949 6 7 40.0 90.0 90.0 1.01295E-01 5.81298E-03 3.52993E-03 9.34291E-03 3.42695E-03 0.034848 5 1 50.0 0.0 180.0 7.13827E-02 5.96151E-03 2.88494E-03 8.84645E-03 3.51451E-03 0.040415 5 4 50.0 45.0 135.0 7.53927E-02 5.92132E-03 3.04398E-03 8.96531E-03 3.49082E-03 0.040375 5 7 50.0 90.0 90.0 8.82740E-02 5.89306E-03 3.61007E-03 9.50313E-03 3.47415E-03 0.040896 4 1 60.0 0.0 180.0 7.40401E-02 5.90855E-03 5.68283E-03 1.15914E-02 3.48329E-03 0.076753 4 4 60.0 45.0 135.0 7.72417E-02 5.86228E-03 5.85912E-03 1.17214E-02 3.45601E-03 0.075854 4 7 60.0 90.0 90.0 8.73917E-02 5.90390E-03 6.56744E-03 1.24713E-02 3.48055E-03 0.075150 3 1 70.0 0.0 180.0 8.87952E-02 5.52987E-03 1.42095E-02 1.97394E-02 3.26005E-03 0.160025 3 4 70.0 45.0 135.0 9.11421E-02 5.54572E-03 1.45480E-02 2.00938E-02 3.26939E-03 0.159619 3 7 70.0 90.0 90.0 9.93984E-02 5.57949E-03 1.58257E-02 2.14052E-02 3.28930E-03 0.159215 2 1 80.0 0.0 180.0 1.32415E-01 4.77812E-03 3.37556E-02 3.85337E-02 2.81686E-03 0.254922 2 4 80.0 45.0 135.0 1.33054E-01 4.77949E-03 3.50352E-02 3.98147E-02 2.81767E-03 0.263315 2 7 80.0 90.0 90.0 1.38341E-01 4.80314E-03 3.75088E-02 4.23120E-02 2.83161E-03 0.271133 1 1 87.5 0.0 180.0 1.99620E-01 3.88608E-03 5.88178E-02 6.27039E-02 2.29097E-03 0.294649 1 4 87.5 45.0 135.0 1.97229E-01 3.69927E-03 6.27715E-02 6.64707E-02 2.18084E-03 0.318267 1 7 87.5 90.0 90.0 1.96863E-01 4.10563E-03 6.61648E-02 7.02705E-02 2.42041E-03 0.336097 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 6.793E-02 5.080E-01 1.312E-01 1.336E-01 1.430E-01 4.004E-02 1.030E+00 5.583E-03 3.291E-03 1 0.00 0.00 1.036E-02 6.749E+00 2.141E-02 2.360E-02 2.637E-02 6.212E-03 3.987E+00 3 0.70 1.00 9.146E-03 5.489E+00 2.049E-02 2.318E-02 2.749E-02 6.241E-03 4.087E+00 5 1.39 2.00 8.042E-03 4.449E+00 1.954E-02 2.229E-02 2.676E-02 6.264E-03 4.169E+00 7 2.09 3.00 7.048E-03 3.598E+00 1.819E-02 2.087E-02 2.521E-02 6.284E-03 4.238E+00 9 2.78 4.00 6.160E-03 2.906E+00 1.668E-02 1.921E-02 2.331E-02 6.301E-03 4.298E+00 11 3.48 5.00 5.371E-03 2.346E+00 1.515E-02 1.749E-02 2.127E-02 6.316E-03 4.352E+00 13 4.17 6.00 4.674E-03 1.894E+00 1.365E-02 1.578E-02 1.922E-02 6.329E-03 4.400E+00 15 4.87 7.00 4.060E-03 1.530E+00 1.223E-02 1.415E-02 1.723E-02 6.341E-03 4.443E+00 17 5.56 8.00 3.520E-03 1.237E+00 1.091E-02 1.262E-02 1.536E-02 6.352E-03 4.483E+00 19 6.26 9.00 3.048E-03 1.002E+00 9.692E-03 1.121E-02 1.361E-02 6.361E-03 4.519E+00 21 6.95 10.00 2.635E-03 8.127E-01 8.580E-03 9.914E-03 1.201E-02 6.370E-03 4.552E+00 Waveband 13 of 40 completed in 2.9 sec. * * * * * Output for wavelength band 14 (480.0 to 490.0 nm; nominal wavelength = 485.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 485.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 480.0 nm to 490.0 nm: Ed(diffuse) = 4.551E-01 Ed(direct) = 1.186E+00 Ed(total) = 1.641E+00 Absorption Coefficients of Individual Components at 485.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0136 0.0794 0.0110 0.1040 3 0.677 1.000 0.0136 0.0794 0.0110 0.1040 5 1.355 2.000 0.0136 0.0794 0.0110 0.1040 7 2.032 3.000 0.0136 0.0794 0.0110 0.1040 9 2.710 4.000 0.0136 0.0794 0.0110 0.1040 11 3.387 5.000 0.0136 0.0794 0.0110 0.1040 13 4.065 6.000 0.0136 0.0794 0.0110 0.1040 15 4.742 7.000 0.0136 0.0794 0.0110 0.1040 17 5.420 8.000 0.0136 0.0794 0.0110 0.1040 19 6.097 9.000 0.0136 0.0794 0.0110 0.1040 21 6.775 10.000 0.0136 0.0794 0.0110 0.1040 Scattering Coefficients of Individual Components at 485.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0033 0.5702 0.0000 0.5735 3 0.677 1.000 0.0033 0.5702 0.0000 0.5735 5 1.355 2.000 0.0033 0.5702 0.0000 0.5735 7 2.032 3.000 0.0033 0.5702 0.0000 0.5735 9 2.710 4.000 0.0033 0.5702 0.0000 0.5735 11 3.387 5.000 0.0033 0.5702 0.0000 0.5735 13 4.065 6.000 0.0033 0.5702 0.0000 0.5735 15 4.742 7.000 0.0033 0.5702 0.0000 0.5735 17 5.420 8.000 0.0033 0.5702 0.0000 0.5735 19 6.097 9.000 0.0033 0.5702 0.0000 0.5735 21 6.775 10.000 0.0033 0.5702 0.0000 0.5735 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 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00165 0.00570 0.00000 0.00735 3 0.677 1.000 0.00165 0.00570 0.00000 0.00735 5 1.355 2.000 0.00165 0.00570 0.00000 0.00735 7 2.032 3.000 0.00165 0.00570 0.00000 0.00735 9 2.710 4.000 0.00165 0.00570 0.00000 0.00735 11 3.387 5.000 0.00165 0.00570 0.00000 0.00735 13 4.065 6.000 0.00165 0.00570 0.00000 0.00735 15 4.742 7.000 0.00165 0.00570 0.00000 0.00735 17 5.420 8.000 0.00165 0.00570 0.00000 0.00735 19 6.097 9.000 0.00165 0.00570 0.00000 0.00735 21 6.775 10.000 0.00165 0.00570 0.00000 0.00735 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 0.1040 0.5735 0.6775 0.8465 0.00735 0.01282 3 0.677 1.000 0.1040 0.5735 0.6775 0.8465 0.00735 0.01282 5 1.355 2.000 0.1040 0.5735 0.6775 0.8465 0.00735 0.01282 7 2.032 3.000 0.1040 0.5735 0.6775 0.8465 0.00735 0.01282 9 2.710 4.000 0.1040 0.5735 0.6775 0.8465 0.00735 0.01282 11 3.387 5.000 0.1040 0.5735 0.6775 0.8465 0.00735 0.01282 13 4.065 6.000 0.1040 0.5735 0.6775 0.8465 0.00735 0.01282 15 4.742 7.000 0.1040 0.5735 0.6775 0.8465 0.00735 0.01282 17 5.420 8.000 0.1040 0.5735 0.6775 0.8465 0.00735 0.01282 19 6.097 9.000 0.1040 0.5735 0.6775 0.8465 0.00735 0.01282 21 6.775 10.000 0.1040 0.5735 0.6775 0.8465 0.00735 0.01282 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3478E-01 8 20.00 7.8000E-01 7 30.00 5.8553E-01 6 40.00 4.0295E-01 5 50.00 2.6009E-01 4 60.00 1.6159E-01 3 70.00 9.9282E-02 2 80.00 6.2133E-02 1 87.50 4.4371E-02 1 92.50 3.5074E-02 2 100.00 2.6283E-02 3 110.00 1.8969E-02 4 120.00 1.4474E-02 5 130.00 1.1726E-02 6 140.00 1.0036E-02 7 150.00 9.0006E-03 8 160.00 8.3869E-03 9 170.00 8.0627E-03 10 180.00 7.9495E-03 Asymptotic AOP values are MUu(inf) = 0.3703 MUd(inf) = 0.7386 MU(inf) = 0.6713 R(inf) = 0.0324 Lu(inf)/Ed(inf) = 0.006471 (1/sr) k(inf) = 0.1549 (1/m) absorp(check) = 0.1040 = 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 1.6663E-01 2.0518E+00 2.2184E+00 6.7736E-02 1.6410E+00 0.4065 0.7998 0.7092 4.1276E-02 1 0.00 0.00 9.5374E-02 1.7558E+00 1.8511E+00 4.0773E-02 1.6141E+00 0.4275 0.9193 0.8499 2.5261E-02 3 0.68 1.00 8.8599E-02 1.5897E+00 1.6783E+00 3.7123E-02 1.4278E+00 0.4190 0.8982 0.8286 2.6000E-02 5 1.35 2.00 8.1189E-02 1.4290E+00 1.5102E+00 3.3511E-02 1.2592E+00 0.4128 0.8812 0.8117 2.6612E-02 7 2.03 3.00 7.3684E-02 1.2774E+00 1.3511E+00 3.0060E-02 1.1078E+00 0.4080 0.8672 0.7977 2.7136E-02 9 2.71 4.00 6.6405E-02 1.1370E+00 1.2034E+00 2.6833E-02 9.7240E-01 0.4041 0.8552 0.7857 2.7595E-02 11 3.39 5.00 5.9518E-02 1.0084E+00 1.0680E+00 2.3857E-02 8.5193E-01 0.4008 0.8448 0.7754 2.8004E-02 13 4.06 6.00 5.3107E-02 8.9170E-01 9.4480E-01 2.1140E-02 7.4509E-01 0.3981 0.8356 0.7662 2.8372E-02 15 4.74 7.00 4.7209E-02 7.8638E-01 8.3359E-01 1.8678E-02 6.5063E-01 0.3956 0.8274 0.7581 2.8707E-02 17 5.42 8.00 4.1829E-02 6.9188E-01 7.3370E-01 1.6460E-02 5.6733E-01 0.3935 0.8200 0.7508 2.9012E-02 19 6.10 9.00 3.6957E-02 6.0745E-01 6.4441E-01 1.4472E-02 4.9404E-01 0.3916 0.8133 0.7442 2.9292E-02 21 6.77 10.00 3.2569E-02 5.3231E-01 5.6488E-01 1.2698E-02 4.2970E-01 0.3899 0.8072 0.7382 2.9550E-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 0.07101 0.09729 0.09594 0.08961 0.12097 0.12179 0.11608 1.000 1.010 1.005 0.08122 0.10327 0.10211 0.09857 0.12424 0.12493 0.12032 2.000 2.010 2.005 0.09279 0.10963 0.10873 0.10585 0.12698 0.12755 0.12372 3.000 3.010 3.005 0.10086 0.11445 0.11371 0.11132 0.12931 0.12981 0.12654 4.000 4.010 4.005 0.10699 0.11834 0.11771 0.11570 0.13135 0.13179 0.12895 5.000 5.010 5.005 0.11190 0.12161 0.12107 0.11934 0.13317 0.13357 0.13107 6.000 6.010 6.005 0.11597 0.12443 0.12396 0.12247 0.13481 0.13517 0.13296 7.000 7.010 7.005 0.11945 0.12691 0.12649 0.12520 0.13631 0.13664 0.13467 8.000 8.010 8.005 0.12250 0.12913 0.12876 0.12762 0.13769 0.13799 0.13622 9.000 9.010 9.005 0.12518 0.13113 0.13079 0.12980 0.13895 0.13923 0.13764 10.000 10.010 10.005 0.12758 0.13295 0.13264 0.13177 0.14012 0.14037 0.13894 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 4.81987E-01 5.49050E-03 6.05943E-02 6.60848E-02 3.34573E-03 0.125718 9 1 10.0 0.0 180.0 2.11316E-01 5.57649E-03 2.65449E-02 3.21213E-02 3.39813E-03 0.125617 9 4 10.0 45.0 135.0 2.36188E-01 5.55314E-03 3.05261E-02 3.60792E-02 3.38390E-03 0.129245 9 7 10.0 90.0 90.0 3.29921E-01 5.53853E-03 4.59715E-02 5.15101E-02 3.37500E-03 0.139341 8 1 20.0 0.0 180.0 1.26328E-01 5.62610E-03 8.72160E-03 1.43477E-02 3.42836E-03 0.069039 8 4 20.0 45.0 135.0 1.40968E-01 5.57197E-03 1.12087E-02 1.67806E-02 3.39537E-03 0.079512 8 7 20.0 90.0 90.0 1.98106E-01 5.56168E-03 2.24511E-02 2.80128E-02 3.38910E-03 0.113328 7 1 30.0 0.0 180.0 8.90102E-02 5.70576E-03 3.01842E-03 8.72418E-03 3.47690E-03 0.033911 7 4 30.0 45.0 135.0 9.72039E-02 5.70176E-03 3.79762E-03 9.49938E-03 3.47447E-03 0.039069 7 7 30.0 90.0 90.0 1.27779E-01 5.66311E-03 7.73793E-03 1.34010E-02 3.45091E-03 0.060557 6 1 40.0 0.0 180.0 7.31191E-02 5.76639E-03 2.13907E-03 7.90546E-03 3.51385E-03 0.029255 6 4 40.0 45.0 135.0 7.82873E-02 5.75799E-03 2.34682E-03 8.10481E-03 3.50873E-03 0.029977 6 7 40.0 90.0 90.0 9.61042E-02 5.72711E-03 3.36236E-03 9.08947E-03 3.48991E-03 0.034987 5 1 50.0 0.0 180.0 6.77247E-02 5.87028E-03 2.73722E-03 8.60750E-03 3.57715E-03 0.040417 5 4 50.0 45.0 135.0 7.15292E-02 5.83286E-03 2.88799E-03 8.72085E-03 3.55435E-03 0.040375 5 7 50.0 90.0 90.0 8.37504E-02 5.81039E-03 3.42568E-03 9.23607E-03 3.54066E-03 0.040903 4 1 60.0 0.0 180.0 7.02459E-02 5.82136E-03 5.39161E-03 1.12130E-02 3.54735E-03 0.076753 4 4 60.0 45.0 135.0 7.32834E-02 5.77821E-03 5.55887E-03 1.13371E-02 3.52105E-03 0.075854 4 7 60.0 90.0 90.0 8.29133E-02 5.82537E-03 6.23089E-03 1.20563E-02 3.54978E-03 0.075150 3 1 70.0 0.0 180.0 8.42449E-02 5.45139E-03 1.34813E-02 1.89327E-02 3.32189E-03 0.160025 3 4 70.0 45.0 135.0 8.64715E-02 5.46954E-03 1.38025E-02 1.92721E-02 3.33296E-03 0.159619 3 7 70.0 90.0 90.0 9.43047E-02 5.50924E-03 1.50147E-02 2.05239E-02 3.35715E-03 0.159215 2 1 80.0 0.0 180.0 1.25630E-01 4.71256E-03 3.20258E-02 3.67384E-02 2.87168E-03 0.254922 2 4 80.0 45.0 135.0 1.26236E-01 4.71626E-03 3.32398E-02 3.79561E-02 2.87394E-03 0.263315 2 7 80.0 90.0 90.0 1.31252E-01 4.74541E-03 3.55867E-02 4.03321E-02 2.89170E-03 0.271133 1 1 87.5 0.0 180.0 1.89390E-01 3.83421E-03 5.58036E-02 5.96378E-02 2.33644E-03 0.294649 1 4 87.5 45.0 135.0 1.87122E-01 3.65176E-03 5.95547E-02 6.32065E-02 2.22526E-03 0.318267 1 7 87.5 90.0 90.0 1.86774E-01 4.05808E-03 6.27742E-02 6.68323E-02 2.47286E-03 0.336097 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 6.608E-02 4.820E-01 1.245E-01 1.268E-01 1.357E-01 4.027E-02 1.025E+00 5.491E-03 3.346E-03 1 0.00 0.00 1.019E-02 6.557E+00 2.110E-02 2.329E-02 2.605E-02 6.311E-03 4.002E+00 3 0.68 1.00 9.051E-03 5.375E+00 2.024E-02 2.292E-02 2.719E-02 6.339E-03 4.101E+00 5 1.35 2.00 8.011E-03 4.392E+00 1.942E-02 2.217E-02 2.664E-02 6.362E-03 4.183E+00 7 2.03 3.00 7.069E-03 3.580E+00 1.820E-02 2.090E-02 2.528E-02 6.381E-03 4.253E+00 9 2.71 4.00 6.221E-03 2.915E+00 1.682E-02 1.939E-02 2.355E-02 6.398E-03 4.313E+00 11 3.39 5.00 5.463E-03 2.373E+00 1.538E-02 1.778E-02 2.165E-02 6.412E-03 4.367E+00 13 4.06 6.00 4.787E-03 1.931E+00 1.397E-02 1.617E-02 1.972E-02 6.425E-03 4.416E+00 15 4.74 7.00 4.187E-03 1.572E+00 1.261E-02 1.461E-02 1.782E-02 6.436E-03 4.460E+00 17 5.42 8.00 3.657E-03 1.282E+00 1.133E-02 1.313E-02 1.600E-02 6.446E-03 4.501E+00 19 6.10 9.00 3.189E-03 1.046E+00 1.014E-02 1.175E-02 1.430E-02 6.455E-03 4.538E+00 21 6.77 10.00 2.777E-03 8.546E-01 9.049E-03 1.047E-02 1.272E-02 6.463E-03 4.572E+00 Waveband 14 of 40 completed in 2.8 sec. * * * * * Output for wavelength band 15 (490.0 to 500.0 nm; nominal wavelength = 495.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 495.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 490.0 nm to 500.0 nm: Ed(diffuse) = 4.533E-01 Ed(direct) = 1.211E+00 Ed(total) = 1.665E+00 Absorption Coefficients of Individual Components at 495.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0173 0.0732 0.0095 0.1001 3 0.662 1.000 0.0173 0.0732 0.0095 0.1001 5 1.323 2.000 0.0173 0.0732 0.0095 0.1001 7 1.985 3.000 0.0173 0.0732 0.0095 0.1001 9 2.647 4.000 0.0173 0.0732 0.0095 0.1001 11 3.309 5.000 0.0173 0.0732 0.0095 0.1001 13 3.970 6.000 0.0173 0.0732 0.0095 0.1001 15 4.632 7.000 0.0173 0.0732 0.0095 0.1001 17 5.294 8.000 0.0173 0.0732 0.0095 0.1001 19 5.956 9.000 0.0173 0.0732 0.0095 0.1001 21 6.617 10.000 0.0173 0.0732 0.0095 0.1001 Scattering Coefficients of Individual Components at 495.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0030 0.5587 0.0000 0.5617 3 0.662 1.000 0.0030 0.5587 0.0000 0.5617 5 1.323 2.000 0.0030 0.5587 0.0000 0.5617 7 1.985 3.000 0.0030 0.5587 0.0000 0.5617 9 2.647 4.000 0.0030 0.5587 0.0000 0.5617 11 3.309 5.000 0.0030 0.5587 0.0000 0.5617 13 3.970 6.000 0.0030 0.5587 0.0000 0.5617 15 4.632 7.000 0.0030 0.5587 0.0000 0.5617 17 5.294 8.000 0.0030 0.5587 0.0000 0.5617 19 5.956 9.000 0.0030 0.5587 0.0000 0.5617 21 6.617 10.000 0.0030 0.5587 0.0000 0.5617 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 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00151 0.00559 0.00000 0.00710 3 0.662 1.000 0.00151 0.00559 0.00000 0.00710 5 1.323 2.000 0.00151 0.00559 0.00000 0.00710 7 1.985 3.000 0.00151 0.00559 0.00000 0.00710 9 2.647 4.000 0.00151 0.00559 0.00000 0.00710 11 3.309 5.000 0.00151 0.00559 0.00000 0.00710 13 3.970 6.000 0.00151 0.00559 0.00000 0.00710 15 4.632 7.000 0.00151 0.00559 0.00000 0.00710 17 5.294 8.000 0.00151 0.00559 0.00000 0.00710 19 5.956 9.000 0.00151 0.00559 0.00000 0.00710 21 6.617 10.000 0.00151 0.00559 0.00000 0.00710 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 0.1001 0.5617 0.6617 0.8488 0.00710 0.01263 3 0.662 1.000 0.1001 0.5617 0.6617 0.8488 0.00710 0.01263 5 1.323 2.000 0.1001 0.5617 0.6617 0.8488 0.00710 0.01263 7 1.985 3.000 0.1001 0.5617 0.6617 0.8488 0.00710 0.01263 9 2.647 4.000 0.1001 0.5617 0.6617 0.8488 0.00710 0.01263 11 3.309 5.000 0.1001 0.5617 0.6617 0.8488 0.00710 0.01263 13 3.970 6.000 0.1001 0.5617 0.6617 0.8488 0.00710 0.01263 15 4.632 7.000 0.1001 0.5617 0.6617 0.8488 0.00710 0.01263 17 5.294 8.000 0.1001 0.5617 0.6617 0.8488 0.00710 0.01263 19 5.956 9.000 0.1001 0.5617 0.6617 0.8488 0.00710 0.01263 21 6.617 10.000 0.1001 0.5617 0.6617 0.8488 0.00710 0.01263 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3545E-01 8 20.00 7.8202E-01 7 30.00 5.8871E-01 6 40.00 4.0653E-01 5 50.00 2.6335E-01 4 60.00 1.6416E-01 3 70.00 1.0114E-01 2 80.00 6.3411E-02 1 87.50 4.5314E-02 1 92.50 3.5818E-02 2 100.00 2.6831E-02 3 110.00 1.9345E-02 4 120.00 1.4736E-02 5 130.00 1.1915E-02 6 140.00 1.0179E-02 7 150.00 9.1140E-03 8 160.00 8.4822E-03 9 170.00 8.1483E-03 10 180.00 8.0317E-03 Asymptotic AOP values are MUu(inf) = 0.3695 MUd(inf) = 0.7373 MU(inf) = 0.6694 R(inf) = 0.0327 Lu(inf)/Ed(inf) = 0.006495 (1/sr) k(inf) = 0.1495 (1/m) absorp(check) = 0.1001 = 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 1.6737E-01 2.0742E+00 2.2415E+00 6.8468E-02 1.6646E+00 0.4091 0.8025 0.7121 4.1133E-02 1 0.00 0.00 9.7236E-02 1.7805E+00 1.8778E+00 4.1532E-02 1.6376E+00 0.4271 0.9197 0.8500 2.5361E-02 3 0.66 1.00 9.0688E-02 1.6190E+00 1.7097E+00 3.7977E-02 1.4554E+00 0.4188 0.8990 0.8291 2.6094E-02 5 1.32 2.00 8.3485E-02 1.4621E+00 1.5456E+00 3.4443E-02 1.2898E+00 0.4126 0.8822 0.8122 2.6704E-02 7 1.99 3.00 7.6140E-02 1.3133E+00 1.3895E+00 3.1048E-02 1.1403E+00 0.4078 0.8682 0.7983 2.7228E-02 9 2.65 4.00 6.8968E-02 1.1748E+00 1.2438E+00 2.7856E-02 1.0060E+00 0.4039 0.8563 0.7864 2.7690E-02 11 3.31 5.00 6.2137E-02 1.0473E+00 1.1094E+00 2.4894E-02 8.8587E-01 0.4006 0.8459 0.7760 2.8101E-02 13 3.97 6.00 5.5738E-02 9.3087E-01 9.8661E-01 2.2175E-02 7.7879E-01 0.3978 0.8366 0.7669 2.8473E-02 15 4.63 7.00 4.9813E-02 8.2525E-01 8.7506E-01 1.9696E-02 6.8362E-01 0.3954 0.8284 0.7587 2.8811E-02 17 5.29 8.00 4.4377E-02 7.2994E-01 7.7432E-01 1.7450E-02 5.9924E-01 0.3932 0.8209 0.7514 2.9121E-02 19 5.96 9.00 3.9422E-02 6.4431E-01 6.8373E-01 1.5426E-02 5.2460E-01 0.3913 0.8142 0.7447 2.9405E-02 21 6.62 10.00 3.4934E-02 5.6767E-01 6.0260E-01 1.3609E-02 4.5872E-01 0.3896 0.8081 0.7387 2.9667E-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 0.06747 0.09325 0.09191 0.08556 0.11638 0.11718 0.11156 1.000 1.010 1.005 0.07685 0.09878 0.09762 0.09403 0.11948 0.12016 0.11559 2.000 2.010 2.005 0.08802 0.10488 0.10397 0.10104 0.12208 0.12266 0.11885 3.000 3.010 3.005 0.09587 0.10953 0.10878 0.10634 0.12431 0.12482 0.12156 4.000 4.010 4.005 0.10185 0.11329 0.11266 0.11059 0.12628 0.12672 0.12388 5.000 5.010 5.005 0.10664 0.11647 0.11592 0.11414 0.12803 0.12843 0.12593 6.000 6.010 6.005 0.11065 0.11921 0.11873 0.11719 0.12962 0.12998 0.12776 7.000 7.010 7.005 0.11407 0.12163 0.12120 0.11986 0.13107 0.13140 0.12941 8.000 8.010 8.005 0.11708 0.12381 0.12342 0.12224 0.13240 0.13271 0.13092 9.000 9.010 9.005 0.11969 0.12575 0.12540 0.12436 0.13363 0.13391 0.13229 10.000 10.010 10.005 0.12206 0.12753 0.12721 0.12630 0.13476 0.13502 0.13356 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 495.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 4.80000E-01 5.57226E-03 6.17244E-02 6.72966E-02 3.34760E-03 0.128592 9 1 10.0 0.0 180.0 2.10445E-01 5.65879E-03 2.69947E-02 3.26535E-02 3.39958E-03 0.128274 9 4 10.0 45.0 135.0 2.35217E-01 5.63551E-03 3.10529E-02 3.66885E-02 3.38559E-03 0.132018 9 7 10.0 90.0 90.0 3.28549E-01 5.62172E-03 4.68053E-02 5.24271E-02 3.37731E-03 0.142461 8 1 20.0 0.0 180.0 1.25808E-01 5.70982E-03 8.82746E-03 1.45373E-02 3.43023E-03 0.070166 8 4 20.0 45.0 135.0 1.40387E-01 5.65557E-03 1.13592E-02 1.70148E-02 3.39765E-03 0.080913 8 7 20.0 90.0 90.0 1.97290E-01 5.64687E-03 2.28157E-02 2.84625E-02 3.39242E-03 0.115646 7 1 30.0 0.0 180.0 8.86433E-02 5.79192E-03 3.02388E-03 8.81580E-03 3.47956E-03 0.034113 7 4 30.0 45.0 135.0 9.68033E-02 5.78885E-03 3.81377E-03 9.60262E-03 3.47771E-03 0.039397 7 7 30.0 90.0 90.0 1.27252E-01 5.75208E-03 7.81743E-03 1.35695E-02 3.45563E-03 0.061433 6 1 40.0 0.0 180.0 7.28177E-02 5.85605E-03 2.13116E-03 7.98721E-03 3.51808E-03 0.029267 6 4 40.0 45.0 135.0 7.79646E-02 5.84888E-03 2.33920E-03 8.18809E-03 3.51378E-03 0.030003 6 7 40.0 90.0 90.0 9.57081E-02 5.82098E-03 3.36121E-03 9.18219E-03 3.49702E-03 0.035119 5 1 50.0 0.0 180.0 6.74455E-02 5.96431E-03 2.72605E-03 8.69036E-03 3.58312E-03 0.040419 5 4 50.0 45.0 135.0 7.12343E-02 5.92798E-03 2.87609E-03 8.80407E-03 3.56130E-03 0.040375 5 7 50.0 90.0 90.0 8.34052E-02 5.90945E-03 3.41214E-03 9.32159E-03 3.55016E-03 0.040910 4 1 60.0 0.0 180.0 6.99563E-02 5.91744E-03 5.36939E-03 1.12868E-02 3.55497E-03 0.076753 4 4 60.0 45.0 135.0 7.29814E-02 5.87551E-03 5.53595E-03 1.14115E-02 3.52978E-03 0.075854 4 7 60.0 90.0 90.0 8.25715E-02 5.92850E-03 6.20521E-03 1.21337E-02 3.56161E-03 0.075150 3 1 70.0 0.0 180.0 8.38976E-02 5.54421E-03 1.34258E-02 1.89700E-02 3.33074E-03 0.160025 3 4 70.0 45.0 135.0 8.61151E-02 5.56474E-03 1.37456E-02 1.93104E-02 3.34308E-03 0.159619 3 7 70.0 90.0 90.0 9.39159E-02 5.61056E-03 1.49528E-02 2.05634E-02 3.37061E-03 0.159215 2 1 80.0 0.0 180.0 1.25112E-01 4.79496E-03 3.18938E-02 3.66888E-02 2.88062E-03 0.254922 2 4 80.0 45.0 135.0 1.25715E-01 4.80072E-03 3.31028E-02 3.79035E-02 2.88408E-03 0.263315 2 7 80.0 90.0 90.0 1.30711E-01 4.83545E-03 3.54400E-02 4.02755E-02 2.90495E-03 0.271133 1 1 87.5 0.0 180.0 1.88610E-01 3.90278E-03 5.55736E-02 5.94764E-02 2.34464E-03 0.294649 1 4 87.5 45.0 135.0 1.86351E-01 3.71869E-03 5.93093E-02 6.30279E-02 2.23404E-03 0.318267 1 7 87.5 90.0 90.0 1.86004E-01 4.13710E-03 6.25154E-02 6.66525E-02 2.48541E-03 0.336097 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 6.730E-02 4.800E-01 1.240E-01 1.263E-01 1.352E-01 4.043E-02 1.017E+00 5.572E-03 3.348E-03 1 0.00 0.00 1.034E-02 6.677E+00 2.148E-02 2.375E-02 2.661E-02 6.313E-03 4.017E+00 3 0.66 1.00 9.228E-03 5.507E+00 2.066E-02 2.342E-02 2.782E-02 6.341E-03 4.115E+00 5 1.32 2.00 8.207E-03 4.527E+00 1.990E-02 2.276E-02 2.737E-02 6.363E-03 4.197E+00 7 1.99 3.00 7.278E-03 3.714E+00 1.874E-02 2.156E-02 2.611E-02 6.382E-03 4.266E+00 9 2.65 4.00 6.437E-03 3.043E+00 1.741E-02 2.010E-02 2.445E-02 6.399E-03 4.327E+00 11 3.31 5.00 5.681E-03 2.492E+00 1.601E-02 1.853E-02 2.260E-02 6.413E-03 4.382E+00 13 3.97 6.00 5.004E-03 2.041E+00 1.462E-02 1.695E-02 2.070E-02 6.426E-03 4.431E+00 15 4.63 7.00 4.401E-03 1.672E+00 1.327E-02 1.540E-02 1.881E-02 6.437E-03 4.476E+00 17 5.29 8.00 3.863E-03 1.371E+00 1.199E-02 1.392E-02 1.700E-02 6.447E-03 4.517E+00 19 5.96 9.00 3.387E-03 1.125E+00 1.079E-02 1.252E-02 1.527E-02 6.456E-03 4.554E+00 21 6.62 10.00 2.965E-03 9.248E-01 9.678E-03 1.123E-02 1.366E-02 6.465E-03 4.589E+00 Waveband 15 of 40 completed in 2.7 sec. * * * * * Output for wavelength band 16 (500.0 to 510.0 nm; nominal wavelength = 505.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 505.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 500.0 nm to 510.0 nm: Ed(diffuse) = 4.373E-01 Ed(direct) = 1.196E+00 Ed(total) = 1.634E+00 Absorption Coefficients of Individual Components at 505.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0256 0.0660 0.0083 0.0999 3 0.650 1.000 0.0256 0.0660 0.0083 0.0999 5 1.301 2.000 0.0256 0.0660 0.0083 0.0999 7 1.951 3.000 0.0256 0.0660 0.0083 0.0999 9 2.601 4.000 0.0256 0.0660 0.0083 0.0999 11 3.251 5.000 0.0256 0.0660 0.0083 0.0999 13 3.902 6.000 0.0256 0.0660 0.0083 0.0999 15 4.552 7.000 0.0256 0.0660 0.0083 0.0999 17 5.202 8.000 0.0256 0.0660 0.0083 0.0999 19 5.852 9.000 0.0256 0.0660 0.0083 0.0999 21 6.503 10.000 0.0256 0.0660 0.0083 0.0999 Scattering Coefficients of Individual Components at 505.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0028 0.5476 0.0000 0.5504 3 0.650 1.000 0.0028 0.5476 0.0000 0.5504 5 1.301 2.000 0.0028 0.5476 0.0000 0.5504 7 1.951 3.000 0.0028 0.5476 0.0000 0.5504 9 2.601 4.000 0.0028 0.5476 0.0000 0.5504 11 3.251 5.000 0.0028 0.5476 0.0000 0.5504 13 3.902 6.000 0.0028 0.5476 0.0000 0.5504 15 4.552 7.000 0.0028 0.5476 0.0000 0.5504 17 5.202 8.000 0.0028 0.5476 0.0000 0.5504 19 5.852 9.000 0.0028 0.5476 0.0000 0.5504 21 6.503 10.000 0.0028 0.5476 0.0000 0.5504 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 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00138 0.00548 0.00000 0.00686 3 0.650 1.000 0.00138 0.00548 0.00000 0.00686 5 1.301 2.000 0.00138 0.00548 0.00000 0.00686 7 1.951 3.000 0.00138 0.00548 0.00000 0.00686 9 2.601 4.000 0.00138 0.00548 0.00000 0.00686 11 3.251 5.000 0.00138 0.00548 0.00000 0.00686 13 3.902 6.000 0.00138 0.00548 0.00000 0.00686 15 4.552 7.000 0.00138 0.00548 0.00000 0.00686 17 5.202 8.000 0.00138 0.00548 0.00000 0.00686 19 5.852 9.000 0.00138 0.00548 0.00000 0.00686 21 6.503 10.000 0.00138 0.00548 0.00000 0.00686 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 0.0999 0.5504 0.6503 0.8464 0.00686 0.01246 3 0.650 1.000 0.0999 0.5504 0.6503 0.8464 0.00686 0.01246 5 1.301 2.000 0.0999 0.5504 0.6503 0.8464 0.00686 0.01246 7 1.951 3.000 0.0999 0.5504 0.6503 0.8464 0.00686 0.01246 9 2.601 4.000 0.0999 0.5504 0.6503 0.8464 0.00686 0.01246 11 3.251 5.000 0.0999 0.5504 0.6503 0.8464 0.00686 0.01246 13 3.902 6.000 0.0999 0.5504 0.6503 0.8464 0.00686 0.01246 15 4.552 7.000 0.0999 0.5504 0.6503 0.8464 0.00686 0.01246 17 5.202 8.000 0.0999 0.5504 0.6503 0.8464 0.00686 0.01246 19 5.852 9.000 0.0999 0.5504 0.6503 0.8464 0.00686 0.01246 21 6.503 10.000 0.0999 0.5504 0.6503 0.8464 0.00686 0.01246 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3475E-01 8 20.00 7.7989E-01 7 30.00 5.8530E-01 6 40.00 4.0261E-01 5 50.00 2.5968E-01 4 60.00 1.6115E-01 3 70.00 9.8859E-02 2 80.00 6.1737E-02 1 87.50 4.3999E-02 1 92.50 3.4720E-02 2 100.00 2.5952E-02 3 110.00 1.8664E-02 4 120.00 1.4189E-02 5 130.00 1.1455E-02 6 140.00 9.7746E-03 7 150.00 8.7457E-03 8 160.00 8.1359E-03 9 170.00 7.8138E-03 10 180.00 7.7014E-03 Asymptotic AOP values are MUu(inf) = 0.3686 MUd(inf) = 0.7390 MU(inf) = 0.6728 R(inf) = 0.0317 Lu(inf)/Ed(inf) = 0.006274 (1/sr) k(inf) = 0.1485 (1/m) absorp(check) = 0.0999 = 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 1.6159E-01 2.0295E+00 2.1911E+00 6.6362E-02 1.6338E+00 0.4107 0.8050 0.7153 4.0619E-02 1 0.00 0.00 9.2616E-02 1.7446E+00 1.8372E+00 3.9484E-02 1.6069E+00 0.4263 0.9211 0.8531 2.4572E-02 3 0.65 1.00 8.6408E-02 1.5867E+00 1.6731E+00 3.6119E-02 1.4290E+00 0.4180 0.9006 0.8325 2.5275E-02 5 1.30 2.00 7.9580E-02 1.4334E+00 1.5130E+00 3.2774E-02 1.2673E+00 0.4118 0.8841 0.8159 2.5861E-02 7 1.95 3.00 7.2618E-02 1.2883E+00 1.3609E+00 2.9562E-02 1.1212E+00 0.4071 0.8703 0.8022 2.6365E-02 9 2.60 4.00 6.5820E-02 1.1531E+00 1.2189E+00 2.6540E-02 9.9000E-01 0.4032 0.8585 0.7904 2.6808E-02 11 3.25 5.00 5.9344E-02 1.0286E+00 1.0880E+00 2.3736E-02 8.7253E-01 0.4000 0.8482 0.7801 2.7204E-02 13 3.90 6.00 5.3275E-02 9.1497E-01 9.6824E-01 2.1160E-02 7.6774E-01 0.3972 0.8391 0.7711 2.7562E-02 15 4.55 7.00 4.7653E-02 8.1180E-01 8.5946E-01 1.8811E-02 6.7454E-01 0.3948 0.8309 0.7630 2.7887E-02 17 5.20 8.00 4.2490E-02 7.1866E-01 7.6115E-01 1.6681E-02 5.9184E-01 0.3926 0.8235 0.7556 2.8185E-02 19 5.85 9.00 3.7781E-02 6.3492E-01 6.7270E-01 1.4760E-02 5.1863E-01 0.3907 0.8168 0.7490 2.8459E-02 21 6.50 10.00 3.3512E-02 5.5991E-01 5.9343E-01 1.3034E-02 4.5395E-01 0.3889 0.8108 0.7430 2.8712E-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 0.06690 0.09290 0.09159 0.08518 0.11578 0.11655 0.11106 1.000 1.010 1.005 0.07649 0.09848 0.09735 0.09359 0.11880 0.11946 0.11501 2.000 2.010 2.005 0.08753 0.10443 0.10354 0.10049 0.12135 0.12190 0.11819 3.000 3.010 3.005 0.09526 0.10897 0.10823 0.10569 0.12352 0.12401 0.12084 4.000 4.010 4.005 0.10115 0.11265 0.11202 0.10987 0.12544 0.12587 0.12311 5.000 5.010 5.005 0.10588 0.11575 0.11521 0.11336 0.12716 0.12754 0.12511 6.000 6.010 6.005 0.10983 0.11844 0.11796 0.11636 0.12871 0.12906 0.12690 7.000 7.010 7.005 0.11319 0.12080 0.12038 0.11898 0.13013 0.13045 0.12852 8.000 8.010 8.005 0.11617 0.12294 0.12256 0.12132 0.13144 0.13173 0.13000 9.000 9.010 9.005 0.11873 0.12484 0.12450 0.12341 0.13264 0.13292 0.13135 10.000 10.010 10.005 0.12107 0.12659 0.12628 0.12531 0.13376 0.13401 0.13259 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 505.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 4.63137E-01 5.28395E-03 6.08173E-02 6.61012E-02 3.23424E-03 0.131316 9 1 10.0 0.0 180.0 2.03051E-01 5.36581E-03 2.65576E-02 3.19234E-02 3.28435E-03 0.130792 9 4 10.0 45.0 135.0 2.26955E-01 5.34381E-03 3.05587E-02 3.59025E-02 3.27088E-03 0.134646 9 7 10.0 90.0 90.0 3.16995E-01 5.33092E-03 4.60964E-02 5.14274E-02 3.26300E-03 0.145417 8 1 20.0 0.0 180.0 1.21388E-01 5.41430E-03 8.64697E-03 1.40613E-02 3.31403E-03 0.071234 8 4 20.0 45.0 135.0 1.35455E-01 5.36300E-03 1.11400E-02 1.65030E-02 3.28263E-03 0.082241 8 7 20.0 90.0 90.0 1.90358E-01 5.35511E-03 2.24320E-02 2.77872E-02 3.27780E-03 0.117841 7 1 30.0 0.0 180.0 8.55291E-02 5.49241E-03 2.93401E-03 8.42642E-03 3.36184E-03 0.034304 7 4 30.0 45.0 135.0 9.34023E-02 5.48969E-03 3.70886E-03 9.19856E-03 3.36018E-03 0.039708 7 7 30.0 90.0 90.0 1.22782E-01 5.45543E-03 7.64463E-03 1.31001E-02 3.33920E-03 0.062262 6 1 40.0 0.0 180.0 7.02594E-02 5.55385E-03 2.05712E-03 7.61097E-03 3.39944E-03 0.029279 6 4 40.0 45.0 135.0 7.52255E-02 5.54738E-03 2.25891E-03 7.80629E-03 3.39549E-03 0.030028 6 7 40.0 90.0 90.0 9.23456E-02 5.52191E-03 3.25474E-03 8.77666E-03 3.37990E-03 0.035245 5 1 50.0 0.0 180.0 6.50760E-02 5.65745E-03 2.63039E-03 8.28783E-03 3.46286E-03 0.040420 5 4 50.0 45.0 135.0 6.87317E-02 5.62347E-03 2.77504E-03 8.39851E-03 3.44206E-03 0.040375 5 7 50.0 90.0 90.0 8.04749E-02 5.60736E-03 3.29280E-03 8.90015E-03 3.43220E-03 0.040917 4 1 60.0 0.0 180.0 6.74986E-02 5.61409E-03 5.18074E-03 1.07948E-02 3.43632E-03 0.076753 4 4 60.0 45.0 135.0 7.04173E-02 5.57495E-03 5.34146E-03 1.09164E-02 3.41236E-03 0.075854 4 7 60.0 90.0 90.0 7.96705E-02 5.62719E-03 5.98720E-03 1.16144E-02 3.44434E-03 0.075150 3 1 70.0 0.0 180.0 8.09501E-02 5.26153E-03 1.29541E-02 1.82156E-02 3.22052E-03 0.160025 3 4 70.0 45.0 135.0 8.30897E-02 5.28182E-03 1.32627E-02 1.85445E-02 3.23294E-03 0.159619 3 7 70.0 90.0 90.0 9.06164E-02 5.32776E-03 1.44275E-02 1.97553E-02 3.26106E-03 0.159215 2 1 80.0 0.0 180.0 1.20716E-01 4.55188E-03 3.07733E-02 3.53252E-02 2.78615E-03 0.254922 2 4 80.0 45.0 135.0 1.21299E-01 4.55822E-03 3.19398E-02 3.64980E-02 2.79004E-03 0.263315 2 7 80.0 90.0 90.0 1.26119E-01 4.59374E-03 3.41949E-02 3.87886E-02 2.81177E-03 0.271133 1 1 87.5 0.0 180.0 1.81983E-01 3.70627E-03 5.36212E-02 5.73274E-02 2.26857E-03 0.294649 1 4 87.5 45.0 135.0 1.79804E-01 3.53224E-03 5.72256E-02 6.07578E-02 2.16204E-03 0.318267 1 7 87.5 90.0 90.0 1.79470E-01 3.93227E-03 6.03191E-02 6.42514E-02 2.40690E-03 0.336097 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 6.610E-02 4.631E-01 1.197E-01 1.219E-01 1.304E-01 4.046E-02 1.004E+00 5.284E-03 3.234E-03 1 0.00 0.00 9.804E-03 6.576E+00 2.048E-02 2.269E-02 2.547E-02 6.101E-03 4.027E+00 3 0.65 1.00 8.756E-03 5.436E+00 1.973E-02 2.241E-02 2.668E-02 6.127E-03 4.125E+00 5 1.30 2.00 7.792E-03 4.479E+00 1.901E-02 2.178E-02 2.625E-02 6.148E-03 4.206E+00 7 1.95 3.00 6.914E-03 3.683E+00 1.791E-02 2.064E-02 2.505E-02 6.166E-03 4.276E+00 9 2.60 4.00 6.120E-03 3.025E+00 1.665E-02 1.925E-02 2.347E-02 6.182E-03 4.337E+00 11 3.25 5.00 5.406E-03 2.483E+00 1.532E-02 1.776E-02 2.171E-02 6.195E-03 4.391E+00 13 3.90 6.00 4.766E-03 2.038E+00 1.399E-02 1.626E-02 1.990E-02 6.207E-03 4.440E+00 15 4.55 7.00 4.194E-03 1.673E+00 1.271E-02 1.478E-02 1.810E-02 6.218E-03 4.485E+00 17 5.20 8.00 3.686E-03 1.374E+00 1.150E-02 1.338E-02 1.637E-02 6.227E-03 4.526E+00 19 5.85 9.00 3.234E-03 1.130E+00 1.036E-02 1.204E-02 1.473E-02 6.236E-03 4.564E+00 21 6.50 10.00 2.834E-03 9.309E-01 9.298E-03 1.081E-02 1.319E-02 6.244E-03 4.599E+00 Waveband 16 of 40 completed in 2.8 sec. * * * * * Output for wavelength band 17 (510.0 to 520.0 nm; nominal wavelength = 515.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 515.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 510.0 nm to 520.0 nm: Ed(diffuse) = 4.143E-01 Ed(direct) = 1.157E+00 Ed(total) = 1.572E+00 Absorption Coefficients of Individual Components at 515.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0396 0.0598 0.0072 0.1066 3 0.646 1.000 0.0396 0.0598 0.0072 0.1066 5 1.292 2.000 0.0396 0.0598 0.0072 0.1066 7 1.938 3.000 0.0396 0.0598 0.0072 0.1066 9 2.585 4.000 0.0396 0.0598 0.0072 0.1066 11 3.231 5.000 0.0396 0.0598 0.0072 0.1066 13 3.877 6.000 0.0396 0.0598 0.0072 0.1066 15 4.523 7.000 0.0396 0.0598 0.0072 0.1066 17 5.169 8.000 0.0396 0.0598 0.0072 0.1066 19 5.815 9.000 0.0396 0.0598 0.0072 0.1066 21 6.461 10.000 0.0396 0.0598 0.0072 0.1066 Scattering Coefficients of Individual Components at 515.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0025 0.5370 0.0000 0.5395 3 0.646 1.000 0.0025 0.5370 0.0000 0.5395 5 1.292 2.000 0.0025 0.5370 0.0000 0.5395 7 1.938 3.000 0.0025 0.5370 0.0000 0.5395 9 2.585 4.000 0.0025 0.5370 0.0000 0.5395 11 3.231 5.000 0.0025 0.5370 0.0000 0.5395 13 3.877 6.000 0.0025 0.5370 0.0000 0.5395 15 4.523 7.000 0.0025 0.5370 0.0000 0.5395 17 5.169 8.000 0.0025 0.5370 0.0000 0.5395 19 5.815 9.000 0.0025 0.5370 0.0000 0.5395 21 6.461 10.000 0.0025 0.5370 0.0000 0.5395 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 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00127 0.00537 0.00000 0.00664 3 0.646 1.000 0.00127 0.00537 0.00000 0.00664 5 1.292 2.000 0.00127 0.00537 0.00000 0.00664 7 1.938 3.000 0.00127 0.00537 0.00000 0.00664 9 2.585 4.000 0.00127 0.00537 0.00000 0.00664 11 3.231 5.000 0.00127 0.00537 0.00000 0.00664 13 3.877 6.000 0.00127 0.00537 0.00000 0.00664 15 4.523 7.000 0.00127 0.00537 0.00000 0.00664 17 5.169 8.000 0.00127 0.00537 0.00000 0.00664 19 5.815 9.000 0.00127 0.00537 0.00000 0.00664 21 6.461 10.000 0.00127 0.00537 0.00000 0.00664 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 0.1066 0.5395 0.6461 0.8350 0.00664 0.01231 3 0.646 1.000 0.1066 0.5395 0.6461 0.8350 0.00664 0.01231 5 1.292 2.000 0.1066 0.5395 0.6461 0.8350 0.00664 0.01231 7 1.938 3.000 0.1066 0.5395 0.6461 0.8350 0.00664 0.01231 9 2.585 4.000 0.1066 0.5395 0.6461 0.8350 0.00664 0.01231 11 3.231 5.000 0.1066 0.5395 0.6461 0.8350 0.00664 0.01231 13 3.877 6.000 0.1066 0.5395 0.6461 0.8350 0.00664 0.01231 15 4.523 7.000 0.1066 0.5395 0.6461 0.8350 0.00664 0.01231 17 5.169 8.000 0.1066 0.5395 0.6461 0.8350 0.00664 0.01231 19 5.815 9.000 0.1066 0.5395 0.6461 0.8350 0.00664 0.01231 21 6.461 10.000 0.1066 0.5395 0.6461 0.8350 0.00664 0.01231 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3146E-01 8 20.00 7.6990E-01 7 30.00 5.6960E-01 6 40.00 3.8494E-01 5 50.00 2.4354E-01 4 60.00 1.4828E-01 3 70.00 8.9395E-02 2 80.00 5.5017E-02 1 87.50 3.8866E-02 1 92.50 3.0525E-02 2 100.00 2.2695E-02 3 110.00 1.6240E-02 4 120.00 1.2313E-02 5 130.00 9.9327E-03 6 140.00 8.4786E-03 7 150.00 7.5931E-03 8 160.00 7.0706E-03 9 170.00 6.7957E-03 10 180.00 6.6998E-03 Asymptotic AOP values are MUu(inf) = 0.3675 MUd(inf) = 0.7466 MU(inf) = 0.6855 R(inf) = 0.0285 Lu(inf)/Ed(inf) = 0.005644 (1/sr) k(inf) = 0.1555 (1/m) absorp(check) = 0.1066 = 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 1.5105E-01 1.9471E+00 2.0981E+00 6.2035E-02 1.5717E+00 0.4107 0.8072 0.7195 3.9469E-02 1 0.00 0.00 8.0945E-02 1.6712E+00 1.7521E+00 3.4378E-02 1.5441E+00 0.4247 0.9240 0.8616 2.2264E-02 3 0.65 1.00 7.5049E-02 1.5091E+00 1.5842E+00 3.1238E-02 1.3639E+00 0.4162 0.9038 0.8413 2.2903E-02 5 1.29 2.00 6.8632E-02 1.3533E+00 1.4220E+00 2.8147E-02 1.2014E+00 0.4101 0.8877 0.8251 2.3429E-02 7 1.94 3.00 6.2176E-02 1.2074E+00 1.2695E+00 2.5209E-02 1.0557E+00 0.4054 0.8744 0.8117 2.3879E-02 9 2.58 4.00 5.5946E-02 1.0728E+00 1.1287E+00 2.2471E-02 9.2575E-01 0.4017 0.8630 0.8003 2.4274E-02 11 3.23 5.00 5.0076E-02 9.4999E-01 1.0001E+00 1.9954E-02 8.1032E-01 0.3985 0.8530 0.7903 2.4625E-02 13 3.88 6.00 4.4627E-02 8.3887E-01 8.8350E-01 1.7662E-02 7.0813E-01 0.3958 0.8441 0.7815 2.4942E-02 15 4.52 7.00 3.9628E-02 7.3891E-01 7.7854E-01 1.5590E-02 6.1790E-01 0.3934 0.8362 0.7736 2.5230E-02 17 5.17 8.00 3.5080E-02 6.4942E-01 6.8450E-01 1.3727E-02 5.3843E-01 0.3913 0.8291 0.7665 2.5494E-02 19 5.82 9.00 3.0969E-02 5.6964E-01 6.0060E-01 1.2060E-02 4.6859E-01 0.3894 0.8226 0.7601 2.5737E-02 21 6.46 10.00 2.7273E-02 4.9875E-01 5.2603E-01 1.0574E-02 4.0734E-01 0.3877 0.8167 0.7543 2.5960E-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 0.07136 0.09939 0.09809 0.09136 0.12247 0.12318 0.11770 1.000 1.010 1.005 0.08336 0.10582 0.10475 0.10050 0.12559 0.12617 0.12180 2.000 2.010 2.005 0.09472 0.11181 0.11099 0.10756 0.12817 0.12866 0.12504 3.000 3.010 3.005 0.10255 0.11633 0.11566 0.11282 0.13037 0.13080 0.12772 4.000 4.010 4.005 0.10841 0.11998 0.11941 0.11701 0.13230 0.13268 0.13001 5.000 5.010 5.005 0.11308 0.12305 0.12255 0.12049 0.13402 0.13437 0.13203 6.000 6.010 6.005 0.11710 0.12570 0.12527 0.12349 0.13559 0.13589 0.13383 7.000 7.010 7.005 0.12044 0.12804 0.12765 0.12610 0.13701 0.13729 0.13545 8.000 8.010 8.005 0.12335 0.13013 0.12978 0.12842 0.13832 0.13858 0.13693 9.000 9.010 9.005 0.12593 0.13202 0.13171 0.13050 0.13953 0.13976 0.13828 10.000 10.010 10.005 0.12824 0.13374 0.13346 0.13239 0.14064 0.14086 0.13953 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 515.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 4.38731E-01 4.59742E-03 5.87099E-02 6.33073E-02 2.92506E-03 0.133818 9 1 10.0 0.0 180.0 1.92351E-01 4.66928E-03 2.56029E-02 3.02722E-02 2.97078E-03 0.133105 9 4 10.0 45.0 135.0 2.14997E-01 4.64969E-03 2.94675E-02 3.41172E-02 2.95832E-03 0.137060 9 7 10.0 90.0 90.0 3.00280E-01 4.63742E-03 4.44812E-02 4.91186E-02 2.95051E-03 0.148132 8 1 20.0 0.0 180.0 1.14991E-01 4.71074E-03 8.30408E-03 1.30148E-02 2.99716E-03 0.072215 8 4 20.0 45.0 135.0 1.28317E-01 4.66537E-03 1.07094E-02 1.53748E-02 2.96829E-03 0.083461 8 7 20.0 90.0 90.0 1.80327E-01 4.65682E-03 2.16135E-02 2.62704E-02 2.96285E-03 0.119857 7 1 30.0 0.0 180.0 8.10219E-02 4.77744E-03 2.79363E-03 7.57107E-03 3.03960E-03 0.034480 7 4 30.0 45.0 135.0 8.84802E-02 4.77409E-03 3.53872E-03 8.31281E-03 3.03746E-03 0.039994 7 7 30.0 90.0 90.0 1.16311E-01 4.74202E-03 7.33039E-03 1.20724E-02 3.01706E-03 0.063024 6 1 40.0 0.0 180.0 6.65569E-02 4.82855E-03 1.94945E-03 6.77799E-03 3.07211E-03 0.029290 6 4 40.0 45.0 135.0 7.12613E-02 4.82168E-03 2.14151E-03 6.96319E-03 3.06775E-03 0.030051 6 7 40.0 90.0 90.0 8.74792E-02 4.79679E-03 3.09334E-03 7.89013E-03 3.05190E-03 0.035361 5 1 50.0 0.0 180.0 6.16467E-02 4.91672E-03 2.49186E-03 7.40859E-03 3.12821E-03 0.040422 5 4 50.0 45.0 135.0 6.51097E-02 4.88587E-03 2.62881E-03 7.51468E-03 3.10858E-03 0.040375 5 7 50.0 90.0 90.0 7.62341E-02 4.86903E-03 3.11974E-03 7.98877E-03 3.09787E-03 0.040923 4 1 60.0 0.0 180.0 6.39416E-02 4.87749E-03 4.90773E-03 9.78522E-03 3.10325E-03 0.076753 4 4 60.0 45.0 135.0 6.67065E-02 4.84217E-03 5.05998E-03 9.90215E-03 3.08078E-03 0.075854 4 7 60.0 90.0 90.0 7.54721E-02 4.88484E-03 5.67169E-03 1.05565E-02 3.10793E-03 0.075150 3 1 70.0 0.0 180.0 7.66842E-02 4.57063E-03 1.22714E-02 1.68421E-02 2.90801E-03 0.160025 3 4 70.0 45.0 135.0 7.87110E-02 4.58715E-03 1.25638E-02 1.71510E-02 2.91853E-03 0.159619 3 7 70.0 90.0 90.0 8.58412E-02 4.62499E-03 1.36672E-02 1.82922E-02 2.94260E-03 0.159215 2 1 80.0 0.0 180.0 1.14355E-01 3.95433E-03 2.91516E-02 3.31059E-02 2.51590E-03 0.254922 2 4 80.0 45.0 135.0 1.14907E-01 3.95904E-03 3.02566E-02 3.42157E-02 2.51890E-03 0.263315 2 7 80.0 90.0 90.0 1.19473E-01 3.98861E-03 3.23929E-02 3.63815E-02 2.53771E-03 0.271133 1 1 87.5 0.0 180.0 1.72393E-01 3.22069E-03 5.07955E-02 5.40162E-02 2.04913E-03 0.294649 1 4 87.5 45.0 135.0 1.70329E-01 3.06901E-03 5.42099E-02 5.72789E-02 1.95263E-03 0.318267 1 7 87.5 90.0 90.0 1.70012E-01 3.41611E-03 5.71404E-02 6.05566E-02 2.17346E-03 0.336097 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 6.331E-02 4.387E-01 1.132E-01 1.153E-01 1.234E-01 4.028E-02 9.799E-01 4.597E-03 2.925E-03 1 0.00 0.00 8.530E-03 6.346E+00 1.798E-02 1.997E-02 2.249E-02 5.524E-03 4.030E+00 3 0.65 1.00 7.567E-03 5.221E+00 1.734E-02 1.976E-02 2.362E-02 5.548E-03 4.128E+00 5 1.29 2.00 6.688E-03 4.282E+00 1.660E-02 1.907E-02 2.308E-02 5.567E-03 4.208E+00 7 1.94 3.00 5.894E-03 3.505E+00 1.552E-02 1.793E-02 2.185E-02 5.583E-03 4.277E+00 9 2.58 4.00 5.181E-03 2.865E+00 1.431E-02 1.660E-02 2.031E-02 5.597E-03 4.337E+00 11 3.23 5.00 4.545E-03 2.340E+00 1.307E-02 1.519E-02 1.864E-02 5.609E-03 4.390E+00 13 3.88 6.00 3.979E-03 1.911E+00 1.184E-02 1.380E-02 1.695E-02 5.620E-03 4.438E+00 15 4.52 7.00 3.478E-03 1.561E+00 1.068E-02 1.245E-02 1.530E-02 5.629E-03 4.482E+00 17 5.17 8.00 3.035E-03 1.276E+00 9.582E-03 1.117E-02 1.373E-02 5.637E-03 4.523E+00 19 5.82 9.00 2.645E-03 1.044E+00 8.566E-03 9.988E-03 1.225E-02 5.645E-03 4.560E+00 21 6.46 10.00 2.302E-03 8.554E-01 7.633E-03 8.895E-03 1.089E-02 5.651E-03 4.594E+00 Waveband 17 of 40 completed in 2.8 sec. * * * * * Output for wavelength band 18 (520.0 to 530.0 nm; nominal wavelength = 525.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 525.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 520.0 nm to 530.0 nm: Ed(diffuse) = 4.169E-01 Ed(direct) = 1.188E+00 Ed(total) = 1.605E+00 Absorption Coefficients of Individual Components at 525.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0417 0.0516 0.0063 0.0995 3 0.629 1.000 0.0417 0.0516 0.0063 0.0995 5 1.257 2.000 0.0417 0.0516 0.0063 0.0995 7 1.886 3.000 0.0417 0.0516 0.0063 0.0995 9 2.514 4.000 0.0417 0.0516 0.0063 0.0995 11 3.143 5.000 0.0417 0.0516 0.0063 0.0995 13 3.772 6.000 0.0417 0.0516 0.0063 0.0995 15 4.400 7.000 0.0417 0.0516 0.0063 0.0995 17 5.029 8.000 0.0417 0.0516 0.0063 0.0995 19 5.657 9.000 0.0417 0.0516 0.0063 0.0995 21 6.286 10.000 0.0417 0.0516 0.0063 0.0995 Scattering Coefficients of Individual Components at 525.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0023 0.5267 0.0000 0.5291 3 0.629 1.000 0.0023 0.5267 0.0000 0.5291 5 1.257 2.000 0.0023 0.5267 0.0000 0.5291 7 1.886 3.000 0.0023 0.5267 0.0000 0.5291 9 2.514 4.000 0.0023 0.5267 0.0000 0.5291 11 3.143 5.000 0.0023 0.5267 0.0000 0.5291 13 3.772 6.000 0.0023 0.5267 0.0000 0.5291 15 4.400 7.000 0.0023 0.5267 0.0000 0.5291 17 5.029 8.000 0.0023 0.5267 0.0000 0.5291 19 5.657 9.000 0.0023 0.5267 0.0000 0.5291 21 6.286 10.000 0.0023 0.5267 0.0000 0.5291 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 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00117 0.00527 0.00000 0.00644 3 0.629 1.000 0.00117 0.00527 0.00000 0.00644 5 1.257 2.000 0.00117 0.00527 0.00000 0.00644 7 1.886 3.000 0.00117 0.00527 0.00000 0.00644 9 2.514 4.000 0.00117 0.00527 0.00000 0.00644 11 3.143 5.000 0.00117 0.00527 0.00000 0.00644 13 3.772 6.000 0.00117 0.00527 0.00000 0.00644 15 4.400 7.000 0.00117 0.00527 0.00000 0.00644 17 5.029 8.000 0.00117 0.00527 0.00000 0.00644 19 5.657 9.000 0.00117 0.00527 0.00000 0.00644 21 6.286 10.000 0.00117 0.00527 0.00000 0.00644 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 0.0995 0.5291 0.6286 0.8417 0.00644 0.01217 3 0.629 1.000 0.0995 0.5291 0.6286 0.8417 0.00644 0.01217 5 1.257 2.000 0.0995 0.5291 0.6286 0.8417 0.00644 0.01217 7 1.886 3.000 0.0995 0.5291 0.6286 0.8417 0.00644 0.01217 9 2.514 4.000 0.0995 0.5291 0.6286 0.8417 0.00644 0.01217 11 3.143 5.000 0.0995 0.5291 0.6286 0.8417 0.00644 0.01217 13 3.772 6.000 0.0995 0.5291 0.6286 0.8417 0.00644 0.01217 15 4.400 7.000 0.0995 0.5291 0.6286 0.8417 0.00644 0.01217 17 5.029 8.000 0.0995 0.5291 0.6286 0.8417 0.00644 0.01217 19 5.657 9.000 0.0995 0.5291 0.6286 0.8417 0.00644 0.01217 21 6.286 10.000 0.0995 0.5291 0.6286 0.8417 0.00644 0.01217 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3339E-01 8 20.00 7.7574E-01 7 30.00 5.7872E-01 6 40.00 3.9511E-01 5 50.00 2.5272E-01 4 60.00 1.5550E-01 3 70.00 9.4607E-02 2 80.00 5.8641E-02 1 87.50 4.1583E-02 1 92.50 3.2710E-02 2 100.00 2.4353E-02 3 110.00 1.7435E-02 4 120.00 1.3205E-02 5 130.00 1.0631E-02 6 140.00 9.0539E-03 7 150.00 8.0904E-03 8 160.00 7.5204E-03 9 170.00 7.2199E-03 10 180.00 7.1152E-03 Asymptotic AOP values are MUu(inf) = 0.3669 MUd(inf) = 0.7424 MU(inf) = 0.6790 R(inf) = 0.0300 Lu(inf)/Ed(inf) = 0.005880 (1/sr) k(inf) = 0.1466 (1/m) absorp(check) = 0.0995 = 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 1.5420E-01 1.9834E+00 2.1376E+00 6.3778E-02 1.6052E+00 0.4136 0.8093 0.7211 3.9732E-02 1 0.00 0.00 8.6151E-02 1.7090E+00 1.7951E+00 3.6608E-02 1.5780E+00 0.4249 0.9234 0.8587 2.3199E-02 3 0.63 1.00 8.0421E-02 1.5550E+00 1.6354E+00 3.3512E-02 1.4051E+00 0.4167 0.9036 0.8387 2.3851E-02 5 1.26 2.00 7.4125E-02 1.4058E+00 1.4800E+00 3.0438E-02 1.2478E+00 0.4106 0.8876 0.8225 2.4394E-02 7 1.89 3.00 6.7711E-02 1.2647E+00 1.3324E+00 2.7486E-02 1.1056E+00 0.4059 0.8742 0.8091 2.4861E-02 9 2.51 4.00 6.1447E-02 1.1333E+00 1.1948E+00 2.4708E-02 9.7767E-01 0.4021 0.8627 0.7976 2.5273E-02 11 3.14 5.00 5.5477E-02 1.0123E+00 1.0678E+00 2.2130E-02 8.6307E-01 0.3989 0.8526 0.7876 2.5641E-02 13 3.77 6.00 4.9878E-02 9.0171E-01 9.5158E-01 1.9758E-02 7.6071E-01 0.3961 0.8436 0.7786 2.5974E-02 15 4.40 7.00 4.4686E-02 8.0126E-01 8.4595E-01 1.7594E-02 6.6953E-01 0.3937 0.8356 0.7707 2.6277E-02 17 5.03 8.00 3.9912E-02 7.1047E-01 7.5039E-01 1.5628E-02 5.8851E-01 0.3916 0.8283 0.7635 2.6556E-02 19 5.66 9.00 3.5552E-02 6.2875E-01 6.6431E-01 1.3853E-02 5.1667E-01 0.3897 0.8217 0.7569 2.6812E-02 21 6.29 10.00 3.1593E-02 5.5546E-01 5.8705E-01 1.2255E-02 4.5310E-01 0.3879 0.8157 0.7509 2.7048E-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 0.06563 0.09228 0.09100 0.08445 0.11463 0.11535 0.11005 1.000 1.010 1.005 0.07584 0.09790 0.09681 0.09275 0.11751 0.11812 0.11384 2.000 2.010 2.005 0.08660 0.10357 0.10272 0.09943 0.11994 0.12045 0.11690 3.000 3.010 3.005 0.09412 0.10790 0.10720 0.10446 0.12202 0.12246 0.11943 4.000 4.010 4.005 0.09985 0.11141 0.11082 0.10850 0.12385 0.12425 0.12162 5.000 5.010 5.005 0.10445 0.11438 0.11387 0.11188 0.12549 0.12585 0.12354 6.000 6.010 6.005 0.10827 0.11695 0.11650 0.11477 0.12698 0.12731 0.12526 7.000 7.010 7.005 0.11154 0.11923 0.11882 0.11731 0.12835 0.12865 0.12682 8.000 8.010 8.005 0.11441 0.12127 0.12090 0.11957 0.12961 0.12988 0.12824 9.000 9.010 9.005 0.11692 0.12311 0.12278 0.12160 0.13077 0.13102 0.12954 10.000 10.010 10.005 0.11919 0.12479 0.12449 0.12344 0.13184 0.13208 0.13074 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 525.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 4.41473E-01 4.87900E-03 6.01546E-02 6.50336E-02 3.03949E-03 0.136259 9 1 10.0 0.0 180.0 1.93554E-01 4.95411E-03 2.61997E-02 3.11539E-02 3.08628E-03 0.135362 9 4 10.0 45.0 135.0 2.16342E-01 4.93393E-03 3.01615E-02 3.50954E-02 3.07370E-03 0.139416 9 7 10.0 90.0 90.0 3.02148E-01 4.92239E-03 4.55585E-02 5.04809E-02 3.06652E-03 0.150782 8 1 20.0 0.0 180.0 1.15710E-01 4.99881E-03 8.46676E-03 1.34656E-02 3.11413E-03 0.073172 8 4 20.0 45.0 135.0 1.29119E-01 4.95168E-03 1.09300E-02 1.58817E-02 3.08476E-03 0.084651 8 7 20.0 90.0 90.0 1.81454E-01 4.94506E-03 2.21057E-02 2.70508E-02 3.08064E-03 0.121825 7 1 30.0 0.0 180.0 8.15284E-02 5.07104E-03 2.82508E-03 7.89612E-03 3.15912E-03 0.034651 7 4 30.0 45.0 135.0 8.90334E-02 5.06889E-03 3.58568E-03 8.65458E-03 3.15778E-03 0.040273 7 7 30.0 90.0 90.0 1.17038E-01 5.03829E-03 7.46323E-03 1.25015E-02 3.13872E-03 0.063767 6 1 40.0 0.0 180.0 6.69730E-02 5.12832E-03 1.96235E-03 7.09067E-03 3.19480E-03 0.029301 6 4 40.0 45.0 135.0 7.17069E-02 5.12292E-03 2.15650E-03 7.27942E-03 3.19144E-03 0.030074 6 7 40.0 90.0 90.0 8.80261E-02 5.10108E-03 3.12261E-03 8.22368E-03 3.17783E-03 0.035474 5 1 50.0 0.0 180.0 6.20321E-02 5.22506E-03 2.50753E-03 7.73259E-03 3.25507E-03 0.040423 5 4 50.0 45.0 135.0 6.55168E-02 5.19450E-03 2.64524E-03 7.83974E-03 3.23603E-03 0.040375 5 7 50.0 90.0 90.0 7.67107E-02 5.18205E-03 3.13970E-03 8.32175E-03 3.22828E-03 0.040929 4 1 60.0 0.0 180.0 6.43413E-02 5.18639E-03 4.93841E-03 1.01248E-02 3.23098E-03 0.076753 4 4 60.0 45.0 135.0 6.71236E-02 5.15132E-03 5.09161E-03 1.02429E-02 3.20913E-03 0.075854 4 7 60.0 90.0 90.0 7.59440E-02 5.20281E-03 5.70715E-03 1.09100E-02 3.24121E-03 0.075150 3 1 70.0 0.0 180.0 7.71637E-02 4.86282E-03 1.23481E-02 1.72110E-02 3.02940E-03 0.160025 3 4 70.0 45.0 135.0 7.92031E-02 4.88291E-03 1.26423E-02 1.75253E-02 3.04192E-03 0.159619 3 7 70.0 90.0 90.0 8.63778E-02 4.92938E-03 1.37526E-02 1.86820E-02 3.07087E-03 0.159215 2 1 80.0 0.0 180.0 1.15070E-01 4.20895E-03 2.93339E-02 3.35428E-02 2.62206E-03 0.254922 2 4 80.0 45.0 135.0 1.15625E-01 4.21626E-03 3.04458E-02 3.46621E-02 2.62662E-03 0.263315 2 7 80.0 90.0 90.0 1.20220E-01 4.25324E-03 3.25954E-02 3.68487E-02 2.64965E-03 0.271133 1 1 87.5 0.0 180.0 1.73471E-01 3.42906E-03 5.11130E-02 5.45421E-02 2.13621E-03 0.294649 1 4 87.5 45.0 135.0 1.71393E-01 3.26935E-03 5.45488E-02 5.78182E-02 2.03672E-03 0.318267 1 7 87.5 90.0 90.0 1.71075E-01 3.64384E-03 5.74977E-02 6.11415E-02 2.27001E-03 0.336097 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 6.503E-02 4.415E-01 1.140E-01 1.161E-01 1.243E-01 4.051E-02 9.807E-01 4.879E-03 3.039E-03 1 0.00 0.00 9.052E-03 6.501E+00 1.908E-02 2.120E-02 2.389E-02 5.737E-03 4.044E+00 3 0.63 1.00 8.093E-03 5.396E+00 1.844E-02 2.101E-02 2.510E-02 5.760E-03 4.141E+00 5 1.26 2.00 7.211E-03 4.466E+00 1.777E-02 2.043E-02 2.471E-02 5.779E-03 4.221E+00 7 1.89 3.00 6.408E-03 3.689E+00 1.676E-02 1.937E-02 2.360E-02 5.796E-03 4.290E+00 9 2.51 4.00 5.680E-03 3.043E+00 1.559E-02 1.809E-02 2.214E-02 5.810E-03 4.350E+00 11 3.14 5.00 5.025E-03 2.508E+00 1.436E-02 1.671E-02 2.051E-02 5.822E-03 4.404E+00 13 3.77 6.00 4.437E-03 2.067E+00 1.314E-02 1.531E-02 1.882E-02 5.833E-03 4.453E+00 15 4.40 7.00 3.911E-03 1.704E+00 1.195E-02 1.395E-02 1.715E-02 5.842E-03 4.498E+00 17 5.03 8.00 3.443E-03 1.406E+00 1.083E-02 1.264E-02 1.553E-02 5.851E-03 4.539E+00 19 5.66 9.00 3.027E-03 1.161E+00 9.766E-03 1.140E-02 1.400E-02 5.858E-03 4.577E+00 21 6.29 10.00 2.657E-03 9.591E-01 8.783E-03 1.025E-02 1.256E-02 5.865E-03 4.612E+00 Waveband 18 of 40 completed in 2.6 sec. * * * * * Output for wavelength band 19 (530.0 to 540.0 nm; nominal wavelength = 535.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 535.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 530.0 nm to 540.0 nm: Ed(diffuse) = 4.155E-01 Ed(direct) = 1.206E+00 Ed(total) = 1.622E+00 Absorption Coefficients of Individual Components at 535.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0452 0.0454 0.0055 0.0960 3 0.615 1.000 0.0452 0.0454 0.0055 0.0960 5 1.230 2.000 0.0452 0.0454 0.0055 0.0960 7 1.845 3.000 0.0452 0.0454 0.0055 0.0960 9 2.460 4.000 0.0452 0.0454 0.0055 0.0960 11 3.075 5.000 0.0452 0.0454 0.0055 0.0960 13 3.690 6.000 0.0452 0.0454 0.0055 0.0960 15 4.305 7.000 0.0452 0.0454 0.0055 0.0960 17 4.921 8.000 0.0452 0.0454 0.0055 0.0960 19 5.536 9.000 0.0452 0.0454 0.0055 0.0960 21 6.151 10.000 0.0452 0.0454 0.0055 0.0960 Scattering Coefficients of Individual Components at 535.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0022 0.5169 0.0000 0.5191 3 0.615 1.000 0.0022 0.5169 0.0000 0.5191 5 1.230 2.000 0.0022 0.5169 0.0000 0.5191 7 1.845 3.000 0.0022 0.5169 0.0000 0.5191 9 2.460 4.000 0.0022 0.5169 0.0000 0.5191 11 3.075 5.000 0.0022 0.5169 0.0000 0.5191 13 3.690 6.000 0.0022 0.5169 0.0000 0.5191 15 4.305 7.000 0.0022 0.5169 0.0000 0.5191 17 4.921 8.000 0.0022 0.5169 0.0000 0.5191 19 5.536 9.000 0.0022 0.5169 0.0000 0.5191 21 6.151 10.000 0.0022 0.5169 0.0000 0.5191 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 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00108 0.00517 0.00000 0.00625 3 0.615 1.000 0.00108 0.00517 0.00000 0.00625 5 1.230 2.000 0.00108 0.00517 0.00000 0.00625 7 1.845 3.000 0.00108 0.00517 0.00000 0.00625 9 2.460 4.000 0.00108 0.00517 0.00000 0.00625 11 3.075 5.000 0.00108 0.00517 0.00000 0.00625 13 3.690 6.000 0.00108 0.00517 0.00000 0.00625 15 4.305 7.000 0.00108 0.00517 0.00000 0.00625 17 4.921 8.000 0.00108 0.00517 0.00000 0.00625 19 5.536 9.000 0.00108 0.00517 0.00000 0.00625 21 6.151 10.000 0.00108 0.00517 0.00000 0.00625 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 0.0960 0.5191 0.6151 0.8439 0.00625 0.01204 3 0.615 1.000 0.0960 0.5191 0.6151 0.8439 0.00625 0.01204 5 1.230 2.000 0.0960 0.5191 0.6151 0.8439 0.00625 0.01204 7 1.845 3.000 0.0960 0.5191 0.6151 0.8439 0.00625 0.01204 9 2.460 4.000 0.0960 0.5191 0.6151 0.8439 0.00625 0.01204 11 3.075 5.000 0.0960 0.5191 0.6151 0.8439 0.00625 0.01204 13 3.690 6.000 0.0960 0.5191 0.6151 0.8439 0.00625 0.01204 15 4.305 7.000 0.0960 0.5191 0.6151 0.8439 0.00625 0.01204 17 4.921 8.000 0.0960 0.5191 0.6151 0.8439 0.00625 0.01204 19 5.536 9.000 0.0960 0.5191 0.6151 0.8439 0.00625 0.01204 21 6.151 10.000 0.0960 0.5191 0.6151 0.8439 0.00625 0.01204 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3403E-01 8 20.00 7.7769E-01 7 30.00 5.8177E-01 6 40.00 3.9853E-01 5 50.00 2.5581E-01 4 60.00 1.5792E-01 3 70.00 9.6348E-02 2 80.00 5.9837E-02 1 87.50 4.2467E-02 1 92.50 3.3410E-02 2 100.00 2.4872E-02 3 110.00 1.7794E-02 4 120.00 1.3461E-02 5 130.00 1.0821E-02 6 140.00 9.2008E-03 7 150.00 8.2106E-03 8 160.00 7.6243E-03 9 170.00 7.3149E-03 10 180.00 7.2071E-03 Asymptotic AOP values are MUu(inf) = 0.3664 MUd(inf) = 0.7411 MU(inf) = 0.6771 R(inf) = 0.0303 Lu(inf)/Ed(inf) = 0.005918 (1/sr) k(inf) = 0.1418 (1/m) absorp(check) = 0.0960 = 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 1.5480E-01 1.9991E+00 2.1539E+00 6.4342E-02 1.6218E+00 0.4156 0.8113 0.7231 3.9673E-02 1 0.00 0.00 8.7718E-02 1.7267E+00 1.8144E+00 3.7255E-02 1.5947E+00 0.4247 0.9236 0.8584 2.3361E-02 3 0.62 1.00 8.2165E-02 1.5770E+00 1.6592E+00 3.4233E-02 1.4258E+00 0.4166 0.9041 0.8387 2.4010E-02 5 1.23 2.00 7.6035E-02 1.4315E+00 1.5075E+00 3.1220E-02 1.2715E+00 0.4106 0.8882 0.8227 2.4554E-02 7 1.85 3.00 6.9751E-02 1.2932E+00 1.3630E+00 2.8313E-02 1.1315E+00 0.4059 0.8749 0.8094 2.5023E-02 9 2.46 4.00 6.3578E-02 1.1639E+00 1.2275E+00 2.5565E-02 1.0050E+00 0.4021 0.8635 0.7979 2.5438E-02 11 3.08 5.00 5.7662E-02 1.0442E+00 1.1019E+00 2.3000E-02 8.9114E-01 0.3989 0.8534 0.7879 2.5810E-02 13 3.69 6.00 5.2082E-02 9.3436E-01 9.8645E-01 2.0630E-02 7.8900E-01 0.3961 0.8444 0.7789 2.6147E-02 15 4.31 7.00 4.6878E-02 8.3408E-01 8.8096E-01 1.8455E-02 6.9760E-01 0.3937 0.8364 0.7709 2.6455E-02 17 4.92 8.00 4.2068E-02 7.4301E-01 7.8507E-01 1.6470E-02 6.1601E-01 0.3915 0.8291 0.7637 2.6737E-02 19 5.54 9.00 3.7652E-02 6.6062E-01 6.9827E-01 1.4669E-02 5.4333E-01 0.3896 0.8224 0.7571 2.6998E-02 21 6.15 10.00 3.3620E-02 5.8636E-01 6.1998E-01 1.3039E-02 4.7870E-01 0.3878 0.8164 0.7511 2.7238E-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 0.06254 0.08875 0.08748 0.08090 0.11061 0.11132 0.10606 1.000 1.010 1.005 0.07205 0.09398 0.09289 0.08878 0.11335 0.11395 0.10967 2.000 2.010 2.005 0.08245 0.09943 0.09857 0.09522 0.11566 0.11618 0.11260 3.000 3.010 3.005 0.08978 0.10361 0.10290 0.10011 0.11766 0.11811 0.11505 4.000 4.010 4.005 0.09538 0.10702 0.10642 0.10404 0.11942 0.11983 0.11716 5.000 5.010 5.005 0.09988 0.10991 0.10938 0.10733 0.12101 0.12137 0.11902 6.000 6.010 6.005 0.10364 0.11241 0.11195 0.11017 0.12245 0.12278 0.12069 7.000 7.010 7.005 0.10685 0.11463 0.11422 0.11265 0.12377 0.12408 0.12220 8.000 8.010 8.005 0.10965 0.11662 0.11624 0.11486 0.12499 0.12527 0.12358 9.000 9.010 9.005 0.11213 0.11842 0.11808 0.11685 0.12612 0.12638 0.12485 10.000 10.010 10.005 0.11438 0.12006 0.11976 0.11866 0.12717 0.12741 0.12602 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 535.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 4.40004E-01 4.95187E-03 6.09554E-02 6.59072E-02 3.05327E-03 0.138534 9 1 10.0 0.0 180.0 1.92910E-01 5.02743E-03 2.65182E-02 3.15457E-02 3.09986E-03 0.137465 9 4 10.0 45.0 135.0 2.15624E-01 5.00728E-03 3.05346E-02 3.55419E-02 3.08744E-03 0.141611 9 7 10.0 90.0 90.0 3.01133E-01 4.99640E-03 4.61493E-02 5.11457E-02 3.08073E-03 0.153252 8 1 20.0 0.0 180.0 1.15325E-01 5.07318E-03 8.54145E-03 1.36146E-02 3.12807E-03 0.074064 8 4 20.0 45.0 135.0 1.28689E-01 5.02590E-03 1.10364E-02 1.60623E-02 3.09892E-03 0.085760 8 7 20.0 90.0 90.0 1.80851E-01 5.02057E-03 2.23638E-02 2.73844E-02 3.09563E-03 0.123659 7 1 30.0 0.0 180.0 8.12571E-02 5.14728E-03 2.82866E-03 7.97594E-03 3.17376E-03 0.034811 7 4 30.0 45.0 135.0 8.87371E-02 5.14588E-03 3.59682E-03 8.74270E-03 3.17290E-03 0.040533 7 7 30.0 90.0 90.0 1.16649E-01 5.11678E-03 7.51921E-03 1.26360E-02 3.15495E-03 0.064460 6 1 40.0 0.0 180.0 6.67501E-02 5.20713E-03 1.95648E-03 7.16361E-03 3.21066E-03 0.029310 6 4 40.0 45.0 135.0 7.14682E-02 5.20272E-03 2.15082E-03 7.35354E-03 3.20794E-03 0.030095 6 7 40.0 90.0 90.0 8.77332E-02 5.18325E-03 3.12144E-03 8.30469E-03 3.19594E-03 0.035579 5 1 50.0 0.0 180.0 6.18256E-02 5.30720E-03 2.49927E-03 7.80647E-03 3.27236E-03 0.040424 5 4 50.0 45.0 135.0 6.52987E-02 5.27747E-03 2.63644E-03 7.91391E-03 3.25403E-03 0.040375 5 7 50.0 90.0 90.0 7.64554E-02 5.26815E-03 3.12967E-03 8.39782E-03 3.24829E-03 0.040935 4 1 60.0 0.0 180.0 6.41272E-02 5.26982E-03 4.92198E-03 1.01918E-02 3.24931E-03 0.076753 4 4 60.0 45.0 135.0 6.69002E-02 5.23567E-03 5.07467E-03 1.03103E-02 3.22826E-03 0.075854 4 7 60.0 90.0 90.0 7.56912E-02 5.29185E-03 5.68816E-03 1.09800E-02 3.26290E-03 0.075150 3 1 70.0 0.0 180.0 7.69069E-02 4.94292E-03 1.23071E-02 1.72500E-02 3.04775E-03 0.160025 3 4 70.0 45.0 135.0 7.89395E-02 4.96493E-03 1.26003E-02 1.75652E-02 3.06132E-03 0.159619 3 7 70.0 90.0 90.0 8.60904E-02 5.01627E-03 1.37069E-02 1.87231E-02 3.09298E-03 0.159215 2 1 80.0 0.0 180.0 1.14687E-01 4.27969E-03 2.92362E-02 3.35159E-02 2.63881E-03 0.254922 2 4 80.0 45.0 135.0 1.15240E-01 4.28862E-03 3.03445E-02 3.46331E-02 2.64432E-03 0.263315 2 7 80.0 90.0 90.0 1.19819E-01 4.33002E-03 3.24870E-02 3.68170E-02 2.66984E-03 0.271133 1 1 87.5 0.0 180.0 1.72894E-01 3.48766E-03 5.09429E-02 5.44306E-02 2.15045E-03 0.294649 1 4 87.5 45.0 135.0 1.70823E-01 3.32643E-03 5.43673E-02 5.76937E-02 2.05104E-03 0.318267 1 7 87.5 90.0 90.0 1.70506E-01 3.71088E-03 5.73063E-02 6.10172E-02 2.28809E-03 0.336097 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 6.591E-02 4.400E-01 1.137E-01 1.158E-01 1.239E-01 4.064E-02 9.763E-01 4.952E-03 3.053E-03 1 0.00 0.00 9.187E-03 6.586E+00 1.940E-02 2.159E-02 2.435E-02 5.761E-03 4.055E+00 3 0.62 1.00 8.248E-03 5.496E+00 1.878E-02 2.141E-02 2.561E-02 5.785E-03 4.151E+00 5 1.23 2.00 7.380E-03 4.573E+00 1.817E-02 2.090E-02 2.530E-02 5.804E-03 4.230E+00 7 1.85 3.00 6.586E-03 3.798E+00 1.721E-02 1.990E-02 2.427E-02 5.821E-03 4.299E+00 9 2.46 4.00 5.864E-03 3.150E+00 1.608E-02 1.867E-02 2.287E-02 5.835E-03 4.360E+00 11 3.08 5.00 5.211E-03 2.611E+00 1.488E-02 1.733E-02 2.128E-02 5.847E-03 4.414E+00 13 3.69 6.00 4.622E-03 2.163E+00 1.368E-02 1.596E-02 1.963E-02 5.858E-03 4.463E+00 15 4.31 7.00 4.094E-03 1.793E+00 1.250E-02 1.460E-02 1.798E-02 5.868E-03 4.508E+00 17 4.92 8.00 3.620E-03 1.487E+00 1.137E-02 1.329E-02 1.636E-02 5.877E-03 4.550E+00 19 5.54 9.00 3.197E-03 1.234E+00 1.031E-02 1.205E-02 1.482E-02 5.885E-03 4.588E+00 21 6.15 10.00 2.820E-03 1.025E+00 9.318E-03 1.089E-02 1.337E-02 5.892E-03 4.623E+00 Waveband 19 of 40 completed in 2.6 sec. * * * * * Output for wavelength band 20 (540.0 to 550.0 nm; nominal wavelength = 545.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 545.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 540.0 nm to 550.0 nm: Ed(diffuse) = 4.045E-01 Ed(direct) = 1.195E+00 Ed(total) = 1.599E+00 Absorption Coefficients of Individual Components at 545.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0511 0.0392 0.0047 0.0950 3 0.604 1.000 0.0511 0.0392 0.0047 0.0950 5 1.209 2.000 0.0511 0.0392 0.0047 0.0950 7 1.813 3.000 0.0511 0.0392 0.0047 0.0950 9 2.418 4.000 0.0511 0.0392 0.0047 0.0950 11 3.022 5.000 0.0511 0.0392 0.0047 0.0950 13 3.627 6.000 0.0511 0.0392 0.0047 0.0950 15 4.231 7.000 0.0511 0.0392 0.0047 0.0950 17 4.835 8.000 0.0511 0.0392 0.0047 0.0950 19 5.440 9.000 0.0511 0.0392 0.0047 0.0950 21 6.044 10.000 0.0511 0.0392 0.0047 0.0950 Scattering Coefficients of Individual Components at 545.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0020 0.5074 0.0000 0.5094 3 0.604 1.000 0.0020 0.5074 0.0000 0.5094 5 1.209 2.000 0.0020 0.5074 0.0000 0.5094 7 1.813 3.000 0.0020 0.5074 0.0000 0.5094 9 2.418 4.000 0.0020 0.5074 0.0000 0.5094 11 3.022 5.000 0.0020 0.5074 0.0000 0.5094 13 3.627 6.000 0.0020 0.5074 0.0000 0.5094 15 4.231 7.000 0.0020 0.5074 0.0000 0.5094 17 4.835 8.000 0.0020 0.5074 0.0000 0.5094 19 5.440 9.000 0.0020 0.5074 0.0000 0.5094 21 6.044 10.000 0.0020 0.5074 0.0000 0.5094 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 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00100 0.00507 0.00000 0.00607 3 0.604 1.000 0.00100 0.00507 0.00000 0.00607 5 1.209 2.000 0.00100 0.00507 0.00000 0.00607 7 1.813 3.000 0.00100 0.00507 0.00000 0.00607 9 2.418 4.000 0.00100 0.00507 0.00000 0.00607 11 3.022 5.000 0.00100 0.00507 0.00000 0.00607 13 3.627 6.000 0.00100 0.00507 0.00000 0.00607 15 4.231 7.000 0.00100 0.00507 0.00000 0.00607 17 4.835 8.000 0.00100 0.00507 0.00000 0.00607 19 5.440 9.000 0.00100 0.00507 0.00000 0.00607 21 6.044 10.000 0.00100 0.00507 0.00000 0.00607 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 0.0950 0.5094 0.6044 0.8428 0.00607 0.01192 3 0.604 1.000 0.0950 0.5094 0.6044 0.8428 0.00607 0.01192 5 1.209 2.000 0.0950 0.5094 0.6044 0.8428 0.00607 0.01192 7 1.813 3.000 0.0950 0.5094 0.6044 0.8428 0.00607 0.01192 9 2.418 4.000 0.0950 0.5094 0.6044 0.8428 0.00607 0.01192 11 3.022 5.000 0.0950 0.5094 0.6044 0.8428 0.00607 0.01192 13 3.627 6.000 0.0950 0.5094 0.6044 0.8428 0.00607 0.01192 15 4.231 7.000 0.0950 0.5094 0.6044 0.8428 0.00607 0.01192 17 4.835 8.000 0.0950 0.5094 0.6044 0.8428 0.00607 0.01192 19 5.440 9.000 0.0950 0.5094 0.6044 0.8428 0.00607 0.01192 21 6.044 10.000 0.0950 0.5094 0.6044 0.8428 0.00607 0.01192 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3372E-01 8 20.00 7.7672E-01 7 30.00 5.8024E-01 6 40.00 3.9677E-01 5 50.00 2.5417E-01 4 60.00 1.5657E-01 3 70.00 9.5323E-02 2 80.00 5.9080E-02 1 87.50 4.1869E-02 1 92.50 3.2906E-02 2 100.00 2.4464E-02 3 110.00 1.7474E-02 4 120.00 1.3199E-02 5 130.00 1.0597E-02 6 140.00 9.0019E-03 7 150.00 8.0273E-03 8 160.00 7.4505E-03 9 170.00 7.1463E-03 10 180.00 7.0404E-03 Asymptotic AOP values are MUu(inf) = 0.3657 MUd(inf) = 0.7419 MU(inf) = 0.6788 R(inf) = 0.0298 Lu(inf)/Ed(inf) = 0.005800 (1/sr) k(inf) = 0.1400 (1/m) absorp(check) = 0.0950 = 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 1.5095E-01 1.9669E+00 2.1179E+00 6.2949E-02 1.5992E+00 0.4170 0.8130 0.7254 3.9363E-02 1 0.00 0.00 8.4980E-02 1.7009E+00 1.7858E+00 3.6045E-02 1.5723E+00 0.4242 0.9244 0.8602 2.2925E-02 3 0.60 1.00 7.9684E-02 1.5550E+00 1.6347E+00 3.3161E-02 1.4077E+00 0.4162 0.9052 0.8408 2.3557E-02 5 1.21 2.00 7.3833E-02 1.4133E+00 1.4871E+00 3.0284E-02 1.2572E+00 0.4102 0.8896 0.8250 2.4088E-02 7 1.81 3.00 6.7827E-02 1.2785E+00 1.3463E+00 2.7504E-02 1.1205E+00 0.4055 0.8764 0.8118 2.4547E-02 9 2.42 4.00 6.1918E-02 1.1523E+00 1.2142E+00 2.4873E-02 9.9679E-01 0.4017 0.8651 0.8005 2.4953E-02 11 3.02 5.00 5.6246E-02 1.0354E+00 1.0916E+00 2.2414E-02 8.8532E-01 0.3985 0.8551 0.7905 2.5318E-02 13 3.63 6.00 5.0886E-02 9.2787E-01 9.7876E-01 2.0138E-02 7.8515E-01 0.3957 0.8462 0.7816 2.5648E-02 15 4.23 7.00 4.5880E-02 8.2962E-01 8.7550E-01 1.8045E-02 6.9537E-01 0.3933 0.8382 0.7736 2.5950E-02 17 4.84 8.00 4.1245E-02 7.4026E-01 7.8151E-01 1.6133E-02 6.1510E-01 0.3912 0.8309 0.7664 2.6228E-02 19 5.44 9.00 3.6981E-02 6.5930E-01 6.9628E-01 1.4394E-02 5.4347E-01 0.3892 0.8243 0.7599 2.6485E-02 21 6.04 10.00 3.3080E-02 5.8620E-01 6.1928E-01 1.2818E-02 4.7967E-01 0.3875 0.8183 0.7539 2.6722E-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 0.06134 0.08769 0.08644 0.07974 0.10925 0.10994 0.10468 1.000 1.010 1.005 0.07087 0.09284 0.09177 0.08748 0.11190 0.11249 0.10820 2.000 2.010 2.005 0.08111 0.09815 0.09731 0.09380 0.11416 0.11466 0.11106 3.000 3.010 3.005 0.08831 0.10223 0.10152 0.09859 0.11610 0.11654 0.11345 4.000 4.010 4.005 0.09382 0.10555 0.10495 0.10245 0.11782 0.11821 0.11552 5.000 5.010 5.005 0.09825 0.10837 0.10785 0.10569 0.11937 0.11972 0.11734 6.000 6.010 6.005 0.10195 0.11082 0.11036 0.10848 0.12077 0.12110 0.11897 7.000 7.010 7.005 0.10512 0.11299 0.11258 0.11092 0.12207 0.12236 0.12045 8.000 8.010 8.005 0.10792 0.11495 0.11458 0.11310 0.12326 0.12353 0.12181 9.000 9.010 9.005 0.11034 0.11670 0.11637 0.11506 0.12436 0.12461 0.12306 10.000 10.010 10.005 0.11254 0.11831 0.11800 0.11684 0.12539 0.12562 0.12421 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 545.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 4.28342E-01 4.78068E-03 6.02673E-02 6.50480E-02 2.98944E-03 0.140699 9 1 10.0 0.0 180.0 1.87796E-01 4.85337E-03 2.61913E-02 3.10447E-02 3.03489E-03 0.139467 9 4 10.0 45.0 135.0 2.09910E-01 4.83402E-03 3.01641E-02 3.49981E-02 3.02280E-03 0.143700 9 7 10.0 90.0 90.0 2.93143E-01 4.82379E-03 4.56140E-02 5.04378E-02 3.01640E-03 0.155603 8 1 20.0 0.0 180.0 1.12268E-01 4.89764E-03 8.41038E-03 1.33080E-02 3.06258E-03 0.074913 8 4 20.0 45.0 135.0 1.25278E-01 4.85218E-03 1.08761E-02 1.57283E-02 3.03415E-03 0.086815 8 7 20.0 90.0 90.0 1.76057E-01 4.84751E-03 2.20784E-02 2.69259E-02 3.03123E-03 0.125405 7 1 30.0 0.0 180.0 7.91033E-02 4.96944E-03 2.76572E-03 7.73516E-03 3.10747E-03 0.034963 7 4 30.0 45.0 135.0 8.63851E-02 4.96836E-03 3.52287E-03 8.49122E-03 3.10680E-03 0.040781 7 7 30.0 90.0 90.0 1.13557E-01 4.94098E-03 7.39480E-03 1.23358E-02 3.08968E-03 0.065120 6 1 40.0 0.0 180.0 6.49808E-02 5.02784E-03 1.90523E-03 6.93308E-03 3.14400E-03 0.029320 6 4 40.0 45.0 135.0 6.95739E-02 5.02399E-03 2.09520E-03 7.11918E-03 3.14158E-03 0.030115 6 7 40.0 90.0 90.0 8.54077E-02 5.00629E-03 3.04725E-03 8.05354E-03 3.13052E-03 0.035679 5 1 50.0 0.0 180.0 6.01869E-02 5.12530E-03 2.43310E-03 7.55840E-03 3.20494E-03 0.040426 5 4 50.0 45.0 135.0 6.35679E-02 5.09713E-03 2.56656E-03 7.66369E-03 3.18732E-03 0.040375 5 7 50.0 90.0 90.0 7.44289E-02 5.08964E-03 3.04710E-03 8.13674E-03 3.18264E-03 0.040940 4 1 60.0 0.0 180.0 6.24275E-02 5.09014E-03 4.79152E-03 9.88166E-03 3.18295E-03 0.076753 4 4 60.0 45.0 135.0 6.51269E-02 5.05783E-03 4.94016E-03 9.99799E-03 3.16275E-03 0.075854 4 7 60.0 90.0 90.0 7.36850E-02 5.11401E-03 5.53739E-03 1.06514E-02 3.19788E-03 0.075150 3 1 70.0 0.0 180.0 7.48684E-02 4.77559E-03 1.19808E-02 1.67564E-02 2.98626E-03 0.160025 3 4 70.0 45.0 135.0 7.68472E-02 4.79764E-03 1.22663E-02 1.70639E-02 3.00005E-03 0.159619 3 7 70.0 90.0 90.0 8.38085E-02 4.84951E-03 1.33436E-02 1.81931E-02 3.03248E-03 0.159215 2 1 80.0 0.0 180.0 1.11647E-01 4.13586E-03 2.84613E-02 3.25972E-02 2.58622E-03 0.254922 2 4 80.0 45.0 135.0 1.12186E-01 4.14531E-03 2.95402E-02 3.36855E-02 2.59213E-03 0.263315 2 7 80.0 90.0 90.0 1.16644E-01 4.18758E-03 3.16259E-02 3.58134E-02 2.61856E-03 0.271133 1 1 87.5 0.0 180.0 1.68311E-01 3.37139E-03 4.95927E-02 5.29640E-02 2.10819E-03 0.294649 1 4 87.5 45.0 135.0 1.66295E-01 3.21625E-03 5.29263E-02 5.61425E-02 2.01117E-03 0.318267 1 7 87.5 90.0 90.0 1.65986E-01 3.59020E-03 5.57874E-02 5.93776E-02 2.24501E-03 0.336097 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 6.505E-02 4.283E-01 1.106E-01 1.127E-01 1.206E-01 4.068E-02 9.677E-01 4.781E-03 2.989E-03 1 0.00 0.00 8.870E-03 6.510E+00 1.880E-02 2.095E-02 2.367E-02 5.641E-03 4.064E+00 3 0.60 1.00 7.974E-03 5.447E+00 1.822E-02 2.081E-02 2.492E-02 5.665E-03 4.159E+00 5 1.21 2.00 7.146E-03 4.545E+00 1.765E-02 2.033E-02 2.465E-02 5.684E-03 4.238E+00 7 1.81 3.00 6.387E-03 3.785E+00 1.674E-02 1.939E-02 2.368E-02 5.700E-03 4.306E+00 9 2.42 4.00 5.696E-03 3.149E+00 1.566E-02 1.821E-02 2.234E-02 5.714E-03 4.367E+00 11 3.02 5.00 5.070E-03 2.617E+00 1.452E-02 1.693E-02 2.083E-02 5.727E-03 4.421E+00 13 3.63 6.00 4.505E-03 2.174E+00 1.336E-02 1.561E-02 1.924E-02 5.738E-03 4.470E+00 15 4.23 7.00 3.997E-03 1.807E+00 1.223E-02 1.431E-02 1.765E-02 5.748E-03 4.515E+00 17 4.84 8.00 3.541E-03 1.502E+00 1.115E-02 1.305E-02 1.610E-02 5.756E-03 4.556E+00 19 5.44 9.00 3.133E-03 1.250E+00 1.013E-02 1.185E-02 1.461E-02 5.764E-03 4.595E+00 21 6.04 10.00 2.768E-03 1.041E+00 9.167E-03 1.073E-02 1.320E-02 5.771E-03 4.630E+00 Waveband 20 of 40 completed in 2.5 sec. * * * * * Output for wavelength band 21 (550.0 to 560.0 nm; nominal wavelength = 555.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 555.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 550.0 nm to 560.0 nm: Ed(diffuse) = 3.970E-01 Ed(direct) = 1.191E+00 Ed(total) = 1.588E+00 Absorption Coefficients of Individual Components at 555.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0596 0.0330 0.0041 0.0967 3 0.597 1.000 0.0596 0.0330 0.0041 0.0967 5 1.194 2.000 0.0596 0.0330 0.0041 0.0967 7 1.790 3.000 0.0596 0.0330 0.0041 0.0967 9 2.387 4.000 0.0596 0.0330 0.0041 0.0967 11 2.984 5.000 0.0596 0.0330 0.0041 0.0967 13 3.581 6.000 0.0596 0.0330 0.0041 0.0967 15 4.178 7.000 0.0596 0.0330 0.0041 0.0967 17 4.775 8.000 0.0596 0.0330 0.0041 0.0967 19 5.371 9.000 0.0596 0.0330 0.0041 0.0967 21 5.968 10.000 0.0596 0.0330 0.0041 0.0967 Scattering Coefficients of Individual Components at 555.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0018 0.4983 0.0000 0.5001 3 0.597 1.000 0.0018 0.4983 0.0000 0.5001 5 1.194 2.000 0.0018 0.4983 0.0000 0.5001 7 1.790 3.000 0.0018 0.4983 0.0000 0.5001 9 2.387 4.000 0.0018 0.4983 0.0000 0.5001 11 2.984 5.000 0.0018 0.4983 0.0000 0.5001 13 3.581 6.000 0.0018 0.4983 0.0000 0.5001 15 4.178 7.000 0.0018 0.4983 0.0000 0.5001 17 4.775 8.000 0.0018 0.4983 0.0000 0.5001 19 5.371 9.000 0.0018 0.4983 0.0000 0.5001 21 5.968 10.000 0.0018 0.4983 0.0000 0.5001 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 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00092 0.00498 0.00000 0.00590 3 0.597 1.000 0.00092 0.00498 0.00000 0.00590 5 1.194 2.000 0.00092 0.00498 0.00000 0.00590 7 1.790 3.000 0.00092 0.00498 0.00000 0.00590 9 2.387 4.000 0.00092 0.00498 0.00000 0.00590 11 2.984 5.000 0.00092 0.00498 0.00000 0.00590 13 3.581 6.000 0.00092 0.00498 0.00000 0.00590 15 4.178 7.000 0.00092 0.00498 0.00000 0.00590 17 4.775 8.000 0.00092 0.00498 0.00000 0.00590 19 5.371 9.000 0.00092 0.00498 0.00000 0.00590 21 5.968 10.000 0.00092 0.00498 0.00000 0.00590 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 0.0967 0.5001 0.5968 0.8380 0.00590 0.01180 3 0.597 1.000 0.0967 0.5001 0.5968 0.8380 0.00590 0.01180 5 1.194 2.000 0.0967 0.5001 0.5968 0.8380 0.00590 0.01180 7 1.790 3.000 0.0967 0.5001 0.5968 0.8380 0.00590 0.01180 9 2.387 4.000 0.0967 0.5001 0.5968 0.8380 0.00590 0.01180 11 2.984 5.000 0.0967 0.5001 0.5968 0.8380 0.00590 0.01180 13 3.581 6.000 0.0967 0.5001 0.5968 0.8380 0.00590 0.01180 15 4.178 7.000 0.0967 0.5001 0.5968 0.8380 0.00590 0.01180 17 4.775 8.000 0.0967 0.5001 0.5968 0.8380 0.00590 0.01180 19 5.371 9.000 0.0967 0.5001 0.5968 0.8380 0.00590 0.01180 21 5.968 10.000 0.0967 0.5001 0.5968 0.8380 0.00590 0.01180 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3232E-01 8 20.00 7.7249E-01 7 30.00 5.7357E-01 6 40.00 3.8926E-01 5 50.00 2.4731E-01 4 60.00 1.5110E-01 3 70.00 9.1296E-02 2 80.00 5.6217E-02 1 87.50 3.9679E-02 1 92.50 3.1115E-02 2 100.00 2.3071E-02 3 110.00 1.6434E-02 4 120.00 1.2393E-02 5 130.00 9.9401E-03 6 140.00 8.4408E-03 7 150.00 7.5269E-03 8 160.00 6.9871E-03 9 170.00 6.7027E-03 10 180.00 6.6038E-03 Asymptotic AOP values are MUu(inf) = 0.3649 MUd(inf) = 0.7451 MU(inf) = 0.6843 R(inf) = 0.0284 Lu(inf)/Ed(inf) = 0.005519 (1/sr) k(inf) = 0.1413 (1/m) absorp(check) = 0.0967 = 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 1.4749E-01 1.9496E+00 2.0971E+00 6.1607E-02 1.5883E+00 0.4177 0.8147 0.7280 3.8788E-02 1 0.00 0.00 8.0577E-02 1.6857E+00 1.7663E+00 3.4101E-02 1.5608E+00 0.4232 0.9259 0.8643 2.1848E-02 3 0.60 1.00 7.5450E-02 1.5384E+00 1.6139E+00 3.1326E-02 1.3953E+00 0.4152 0.9070 0.8452 2.2451E-02 5 1.19 2.00 6.9799E-02 1.3956E+00 1.4654E+00 2.8565E-02 1.2443E+00 0.4092 0.8916 0.8296 2.2956E-02 7 1.79 3.00 6.4019E-02 1.2603E+00 1.3243E+00 2.5904E-02 1.1074E+00 0.4046 0.8787 0.8167 2.3392E-02 9 2.39 4.00 5.8351E-02 1.1340E+00 1.1923E+00 2.3392E-02 9.8377E-01 0.4009 0.8675 0.8055 2.3778E-02 11 2.98 5.00 5.2925E-02 1.0173E+00 1.0702E+00 2.1049E-02 8.7253E-01 0.3977 0.8577 0.7956 2.4124E-02 13 3.58 6.00 4.7811E-02 9.1021E-01 9.5802E-01 1.8884E-02 7.7274E-01 0.3950 0.8490 0.7869 2.4438E-02 15 4.18 7.00 4.3045E-02 8.1258E-01 8.5562E-01 1.6899E-02 6.8346E-01 0.3926 0.8411 0.7790 2.4726E-02 17 4.77 8.00 3.8641E-02 7.2395E-01 7.6260E-01 1.5088E-02 6.0375E-01 0.3905 0.8340 0.7719 2.4990E-02 19 5.37 9.00 3.4598E-02 6.4382E-01 6.7842E-01 1.3443E-02 5.3273E-01 0.3885 0.8274 0.7654 2.5234E-02 21 5.97 10.00 3.0907E-02 5.7161E-01 6.0252E-01 1.1955E-02 4.6957E-01 0.3868 0.8215 0.7595 2.5460E-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 0.06220 0.08931 0.08807 0.08110 0.11075 0.11141 0.10605 1.000 1.010 1.005 0.07244 0.09469 0.09365 0.08901 0.11338 0.11394 0.10957 2.000 2.010 2.005 0.08270 0.09993 0.09911 0.09531 0.11561 0.11609 0.11242 3.000 3.010 3.005 0.08988 0.10394 0.10326 0.10007 0.11753 0.11795 0.11479 4.000 4.010 4.005 0.09536 0.10721 0.10663 0.10391 0.11923 0.11960 0.11683 5.000 5.010 5.005 0.09975 0.10998 0.10947 0.10711 0.12075 0.12109 0.11864 6.000 6.010 6.005 0.10342 0.11239 0.11194 0.10987 0.12214 0.12245 0.12026 7.000 7.010 7.005 0.10655 0.11452 0.11412 0.11229 0.12342 0.12370 0.12173 8.000 8.010 8.005 0.10930 0.11643 0.11607 0.11444 0.12459 0.12485 0.12308 9.000 9.010 9.005 0.11171 0.11816 0.11784 0.11638 0.12568 0.12593 0.12431 10.000 10.010 10.005 0.11390 0.11975 0.11945 0.11815 0.12670 0.12692 0.12546 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 555.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 4.20411E-01 4.51601E-03 6.00053E-02 6.45213E-02 2.84327E-03 0.142730 9 1 10.0 0.0 180.0 1.84319E-01 4.58484E-03 2.60525E-02 3.06373E-02 2.88661E-03 0.141344 9 4 10.0 45.0 135.0 2.06025E-01 4.56643E-03 3.00095E-02 3.45759E-02 2.87502E-03 0.145660 9 7 10.0 90.0 90.0 2.87708E-01 4.55646E-03 4.54027E-02 4.99591E-02 2.86874E-03 0.157808 8 1 20.0 0.0 180.0 1.10189E-01 4.62646E-03 8.34242E-03 1.29689E-02 2.91282E-03 0.075710 8 4 20.0 45.0 135.0 1.22959E-01 4.58331E-03 1.07965E-02 1.53798E-02 2.88564E-03 0.087805 8 7 20.0 90.0 90.0 1.72797E-01 4.57844E-03 2.19525E-02 2.65309E-02 2.88258E-03 0.127042 7 1 30.0 0.0 180.0 7.76387E-02 4.69397E-03 2.72559E-03 7.41955E-03 2.95531E-03 0.035106 7 4 30.0 45.0 135.0 8.47856E-02 4.69267E-03 3.47732E-03 8.17000E-03 2.95450E-03 0.041013 7 7 30.0 90.0 90.0 1.11455E-01 4.66625E-03 7.32682E-03 1.19931E-02 2.93786E-03 0.065738 6 1 40.0 0.0 180.0 6.37777E-02 4.74860E-03 1.87052E-03 6.61912E-03 2.98971E-03 0.029329 6 4 40.0 45.0 135.0 6.82857E-02 4.74465E-03 2.05768E-03 6.80232E-03 2.98722E-03 0.030133 6 7 40.0 90.0 90.0 8.38264E-02 4.72738E-03 2.99869E-03 7.72607E-03 2.97635E-03 0.035773 5 1 50.0 0.0 180.0 5.90725E-02 4.84037E-03 2.38812E-03 7.22849E-03 3.04749E-03 0.040427 5 4 50.0 45.0 135.0 6.23910E-02 4.81351E-03 2.51904E-03 7.33254E-03 3.03058E-03 0.040375 5 7 50.0 90.0 90.0 7.30509E-02 4.80606E-03 2.99105E-03 7.79711E-03 3.02589E-03 0.040945 4 1 60.0 0.0 180.0 6.12716E-02 4.80708E-03 4.70280E-03 9.50989E-03 3.02653E-03 0.076753 4 4 60.0 45.0 135.0 6.39211E-02 4.77639E-03 4.84869E-03 9.62508E-03 3.00721E-03 0.075854 4 7 60.0 90.0 90.0 7.23207E-02 4.82935E-03 5.43486E-03 1.02642E-02 3.04055E-03 0.075150 3 1 70.0 0.0 180.0 7.34822E-02 4.51047E-03 1.17590E-02 1.62695E-02 2.83979E-03 0.160025 3 4 70.0 45.0 135.0 7.54244E-02 4.53126E-03 1.20392E-02 1.65704E-02 2.85288E-03 0.159619 3 7 70.0 90.0 90.0 8.22568E-02 4.58062E-03 1.30965E-02 1.76771E-02 2.88395E-03 0.159215 2 1 80.0 0.0 180.0 1.09580E-01 3.90688E-03 2.79343E-02 3.18412E-02 2.45977E-03 0.254922 2 4 80.0 45.0 135.0 1.10109E-01 3.91592E-03 2.89932E-02 3.29092E-02 2.46546E-03 0.263315 2 7 80.0 90.0 90.0 1.14484E-01 3.95654E-03 3.10403E-02 3.49969E-02 2.49103E-03 0.271133 1 1 87.5 0.0 180.0 1.65195E-01 3.18562E-03 4.86744E-02 5.18601E-02 2.00566E-03 0.294649 1 4 87.5 45.0 135.0 1.63216E-01 3.03923E-03 5.19463E-02 5.49856E-02 1.91349E-03 0.318267 1 7 87.5 90.0 90.0 1.62913E-01 3.39361E-03 5.47545E-02 5.81481E-02 2.13661E-03 0.336097 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 6.452E-02 4.204E-01 1.085E-01 1.105E-01 1.183E-01 4.062E-02 9.548E-01 4.516E-03 2.843E-03 1 0.00 0.00 8.379E-03 6.480E+00 1.786E-02 1.994E-02 2.258E-02 5.368E-03 4.070E+00 3 0.60 1.00 7.522E-03 5.422E+00 1.734E-02 1.984E-02 2.382E-02 5.391E-03 4.164E+00 5 1.19 2.00 6.732E-03 4.524E+00 1.677E-02 1.935E-02 2.352E-02 5.410E-03 4.243E+00 7 1.79 3.00 6.009E-03 3.768E+00 1.587E-02 1.842E-02 2.255E-02 5.426E-03 4.311E+00 9 2.39 4.00 5.352E-03 3.134E+00 1.483E-02 1.727E-02 2.124E-02 5.440E-03 4.371E+00 11 2.98 5.00 4.757E-03 2.605E+00 1.372E-02 1.603E-02 1.976E-02 5.452E-03 4.425E+00 13 3.58 6.00 4.222E-03 2.165E+00 1.261E-02 1.476E-02 1.823E-02 5.463E-03 4.473E+00 15 4.18 7.00 3.740E-03 1.799E+00 1.152E-02 1.350E-02 1.669E-02 5.473E-03 4.518E+00 17 4.77 8.00 3.310E-03 1.495E+00 1.049E-02 1.230E-02 1.520E-02 5.482E-03 4.559E+00 19 5.37 9.00 2.924E-03 1.244E+00 9.508E-03 1.115E-02 1.377E-02 5.490E-03 4.597E+00 21 5.97 10.00 2.581E-03 1.036E+00 8.594E-03 1.007E-02 1.243E-02 5.497E-03 4.632E+00 Waveband 21 of 40 completed in 2.5 sec. * * * * * Output for wavelength band 22 (560.0 to 570.0 nm; nominal wavelength = 565.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 565.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 560.0 nm to 570.0 nm: Ed(diffuse) = 3.892E-01 Ed(direct) = 1.185E+00 Ed(total) = 1.575E+00 Absorption Coefficients of Individual Components at 565.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0642 0.0278 0.0036 0.0956 3 0.587 1.000 0.0642 0.0278 0.0036 0.0956 5 1.174 2.000 0.0642 0.0278 0.0036 0.0956 7 1.760 3.000 0.0642 0.0278 0.0036 0.0956 9 2.347 4.000 0.0642 0.0278 0.0036 0.0956 11 2.934 5.000 0.0642 0.0278 0.0036 0.0956 13 3.521 6.000 0.0642 0.0278 0.0036 0.0956 15 4.107 7.000 0.0642 0.0278 0.0036 0.0956 17 4.694 8.000 0.0642 0.0278 0.0036 0.0956 19 5.281 9.000 0.0642 0.0278 0.0036 0.0956 21 5.868 10.000 0.0642 0.0278 0.0036 0.0956 Scattering Coefficients of Individual Components at 565.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0017 0.4894 0.0000 0.4912 3 0.587 1.000 0.0017 0.4894 0.0000 0.4912 5 1.174 2.000 0.0017 0.4894 0.0000 0.4912 7 1.760 3.000 0.0017 0.4894 0.0000 0.4912 9 2.347 4.000 0.0017 0.4894 0.0000 0.4912 11 2.934 5.000 0.0017 0.4894 0.0000 0.4912 13 3.521 6.000 0.0017 0.4894 0.0000 0.4912 15 4.107 7.000 0.0017 0.4894 0.0000 0.4912 17 4.694 8.000 0.0017 0.4894 0.0000 0.4912 19 5.281 9.000 0.0017 0.4894 0.0000 0.4912 21 5.868 10.000 0.0017 0.4894 0.0000 0.4912 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 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00085 0.00489 0.00000 0.00575 3 0.587 1.000 0.00085 0.00489 0.00000 0.00575 5 1.174 2.000 0.00085 0.00489 0.00000 0.00575 7 1.760 3.000 0.00085 0.00489 0.00000 0.00575 9 2.347 4.000 0.00085 0.00489 0.00000 0.00575 11 2.934 5.000 0.00085 0.00489 0.00000 0.00575 13 3.521 6.000 0.00085 0.00489 0.00000 0.00575 15 4.107 7.000 0.00085 0.00489 0.00000 0.00575 17 4.694 8.000 0.00085 0.00489 0.00000 0.00575 19 5.281 9.000 0.00085 0.00489 0.00000 0.00575 21 5.868 10.000 0.00085 0.00489 0.00000 0.00575 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 0.0956 0.4912 0.5868 0.8370 0.00575 0.01170 3 0.587 1.000 0.0956 0.4912 0.5868 0.8370 0.00575 0.01170 5 1.174 2.000 0.0956 0.4912 0.5868 0.8370 0.00575 0.01170 7 1.760 3.000 0.0956 0.4912 0.5868 0.8370 0.00575 0.01170 9 2.347 4.000 0.0956 0.4912 0.5868 0.8370 0.00575 0.01170 11 2.934 5.000 0.0956 0.4912 0.5868 0.8370 0.00575 0.01170 13 3.521 6.000 0.0956 0.4912 0.5868 0.8370 0.00575 0.01170 15 4.107 7.000 0.0956 0.4912 0.5868 0.8370 0.00575 0.01170 17 4.694 8.000 0.0956 0.4912 0.5868 0.8370 0.00575 0.01170 19 5.281 9.000 0.0956 0.4912 0.5868 0.8370 0.00575 0.01170 21 5.868 10.000 0.0956 0.4912 0.5868 0.8370 0.00575 0.01170 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3206E-01 8 20.00 7.7170E-01 7 30.00 5.7232E-01 6 40.00 3.8784E-01 5 50.00 2.4600E-01 4 60.00 1.5003E-01 3 70.00 9.0493E-02 2 80.00 5.5629E-02 1 87.50 3.9216E-02 1 92.50 3.0726E-02 2 100.00 2.2757E-02 3 110.00 1.6188E-02 4 120.00 1.2191E-02 5 130.00 9.7680E-03 6 140.00 8.2874E-03 7 150.00 7.3853E-03 8 160.00 6.8526E-03 9 170.00 6.5722E-03 10 180.00 6.4746E-03 Asymptotic AOP values are MUu(inf) = 0.3643 MUd(inf) = 0.7458 MU(inf) = 0.6857 R(inf) = 0.0280 Lu(inf)/Ed(inf) = 0.005426 (1/sr) k(inf) = 0.1395 (1/m) absorp(check) = 0.0956 = 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 1.4481E-01 1.9292E+00 2.0740E+00 6.0669E-02 1.5747E+00 0.4190 0.8162 0.7300 3.8528E-02 1 0.00 0.00 7.8644E-02 1.6698E+00 1.7485E+00 3.3244E-02 1.5472E+00 0.4227 0.9266 0.8659 2.1486E-02 3 0.59 1.00 7.3726E-02 1.5256E+00 1.5993E+00 3.0579E-02 1.3852E+00 0.4148 0.9080 0.8470 2.2075E-02 5 1.17 2.00 6.8298E-02 1.3858E+00 1.4541E+00 2.7924E-02 1.2372E+00 0.4089 0.8928 0.8317 2.2570E-02 7 1.76 3.00 6.2737E-02 1.2532E+00 1.3159E+00 2.5364E-02 1.1028E+00 0.4043 0.8800 0.8188 2.2999E-02 9 2.35 4.00 5.7275E-02 1.1292E+00 1.1865E+00 2.2941E-02 9.8129E-01 0.4005 0.8690 0.8077 2.3379E-02 11 2.93 5.00 5.2036E-02 1.0146E+00 1.0666E+00 2.0679E-02 8.7178E-01 0.3974 0.8592 0.7979 2.3720E-02 13 3.52 6.00 4.7090E-02 9.0929E-01 9.5638E-01 1.8585E-02 7.7340E-01 0.3947 0.8506 0.7892 2.4030E-02 15 4.11 7.00 4.2471E-02 8.1311E-01 8.5558E-01 1.6661E-02 6.8523E-01 0.3923 0.8427 0.7814 2.4315E-02 17 4.69 8.00 3.8196E-02 7.2567E-01 7.6387E-01 1.4903E-02 6.0638E-01 0.3902 0.8356 0.7743 2.4576E-02 19 5.28 9.00 3.4263E-02 6.4648E-01 6.8074E-01 1.3303E-02 5.3602E-01 0.3883 0.8291 0.7679 2.4818E-02 21 5.87 10.00 3.0665E-02 5.7499E-01 6.0565E-01 1.1853E-02 4.7333E-01 0.3865 0.8232 0.7619 2.5042E-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 0.06094 0.08820 0.08697 0.07984 0.10933 0.10997 0.10455 1.000 1.010 1.005 0.07116 0.09347 0.09245 0.08760 0.11189 0.11244 0.10798 2.000 2.010 2.005 0.08127 0.09859 0.09777 0.09378 0.11405 0.11452 0.11076 3.000 3.010 3.005 0.08832 0.10249 0.10182 0.09846 0.11592 0.11633 0.11308 4.000 4.010 4.005 0.09371 0.10568 0.10511 0.10222 0.11757 0.11794 0.11508 5.000 5.010 5.005 0.09804 0.10839 0.10789 0.10538 0.11906 0.11940 0.11685 6.000 6.010 6.005 0.10166 0.11075 0.11030 0.10809 0.12042 0.12072 0.11844 7.000 7.010 7.005 0.10475 0.11283 0.11243 0.11047 0.12166 0.12194 0.11988 8.000 8.010 8.005 0.10746 0.11471 0.11434 0.11260 0.12281 0.12307 0.12120 9.000 9.010 9.005 0.10984 0.11640 0.11607 0.11451 0.12388 0.12412 0.12242 10.000 10.010 10.005 0.11200 0.11796 0.11766 0.11624 0.12488 0.12510 0.12355 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 4.12138E-01 4.39391E-03 5.96270E-02 6.40209E-02 2.79038E-03 0.144677 9 1 10.0 0.0 180.0 1.80692E-01 4.46066E-03 2.58651E-02 3.03257E-02 2.83277E-03 0.143144 9 4 10.0 45.0 135.0 2.01972E-01 4.44284E-03 2.97985E-02 3.42414E-02 2.82145E-03 0.147538 9 7 10.0 90.0 90.0 2.82039E-01 4.43336E-03 4.51043E-02 4.95377E-02 2.81544E-03 0.159922 8 1 20.0 0.0 180.0 1.08021E-01 4.50123E-03 8.26072E-03 1.27620E-02 2.85853E-03 0.076473 8 4 20.0 45.0 135.0 1.20539E-01 4.45939E-03 1.06984E-02 1.51578E-02 2.83196E-03 0.088755 8 7 20.0 90.0 90.0 1.69397E-01 4.45507E-03 2.17864E-02 2.62414E-02 2.82922E-03 0.128611 7 1 30.0 0.0 180.0 7.61109E-02 4.56711E-03 2.68236E-03 7.24947E-03 2.90037E-03 0.035243 7 4 30.0 45.0 135.0 8.31172E-02 4.56607E-03 3.42739E-03 7.99346E-03 2.89971E-03 0.041236 7 7 30.0 90.0 90.0 1.09261E-01 4.54097E-03 7.24743E-03 1.17884E-02 2.88377E-03 0.066331 6 1 40.0 0.0 180.0 6.25227E-02 4.62075E-03 1.83425E-03 6.45500E-03 2.93444E-03 0.029337 6 4 40.0 45.0 135.0 6.69420E-02 4.61725E-03 2.01838E-03 6.63563E-03 2.93221E-03 0.030151 6 7 40.0 90.0 90.0 8.21768E-02 4.60138E-03 2.94708E-03 7.54846E-03 2.92213E-03 0.035863 5 1 50.0 0.0 180.0 5.79101E-02 4.71072E-03 2.34119E-03 7.05192E-03 2.99157E-03 0.040428 5 4 50.0 45.0 135.0 6.11632E-02 4.68503E-03 2.46947E-03 7.15450E-03 2.97526E-03 0.040375 5 7 50.0 90.0 90.0 7.16133E-02 4.67908E-03 2.93252E-03 7.61160E-03 2.97148E-03 0.040949 4 1 60.0 0.0 180.0 6.00659E-02 4.67908E-03 4.61026E-03 9.28934E-03 2.97148E-03 0.076753 4 4 60.0 45.0 135.0 6.26632E-02 4.64978E-03 4.75328E-03 9.40305E-03 2.95287E-03 0.075854 4 7 60.0 90.0 90.0 7.08975E-02 4.70297E-03 5.32791E-03 1.00309E-02 2.98665E-03 0.075150 3 1 70.0 0.0 180.0 7.20362E-02 4.39134E-03 1.15276E-02 1.59190E-02 2.78875E-03 0.160025 3 4 70.0 45.0 135.0 7.39401E-02 4.41226E-03 1.18023E-02 1.62145E-02 2.80203E-03 0.159619 3 7 70.0 90.0 90.0 8.06381E-02 4.46227E-03 1.28388E-02 1.73011E-02 2.83379E-03 0.159215 2 1 80.0 0.0 180.0 1.07423E-01 3.80454E-03 2.73846E-02 3.11892E-02 2.41610E-03 0.254922 2 4 80.0 45.0 135.0 1.07942E-01 3.81405E-03 2.84227E-02 3.22367E-02 2.42213E-03 0.263315 2 7 80.0 90.0 90.0 1.12231E-01 3.85556E-03 3.04295E-02 3.42851E-02 2.44850E-03 0.271133 1 1 87.5 0.0 180.0 1.61944E-01 3.10295E-03 4.77166E-02 5.08196E-02 1.97054E-03 0.294649 1 4 87.5 45.0 135.0 1.60004E-01 2.96096E-03 5.09241E-02 5.38851E-02 1.88038E-03 0.318267 1 7 87.5 90.0 90.0 1.59707E-01 3.30815E-03 5.36770E-02 5.69851E-02 2.10086E-03 0.336097 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 6.402E-02 4.121E-01 1.064E-01 1.083E-01 1.160E-01 4.066E-02 9.476E-01 4.394E-03 2.790E-03 1 0.00 0.00 8.152E-03 6.438E+00 1.744E-02 1.949E-02 2.210E-02 5.269E-03 4.078E+00 3 0.59 1.00 7.330E-03 5.401E+00 1.695E-02 1.942E-02 2.335E-02 5.292E-03 4.172E+00 5 1.17 2.00 6.571E-03 4.519E+00 1.641E-02 1.897E-02 2.308E-02 5.311E-03 4.250E+00 7 1.76 3.00 5.875E-03 3.774E+00 1.556E-02 1.808E-02 2.216E-02 5.327E-03 4.317E+00 9 2.35 4.00 5.241E-03 3.148E+00 1.455E-02 1.698E-02 2.090E-02 5.341E-03 4.377E+00 11 2.93 5.00 4.667E-03 2.624E+00 1.349E-02 1.578E-02 1.948E-02 5.354E-03 4.430E+00 13 3.52 6.00 4.149E-03 2.186E+00 1.242E-02 1.455E-02 1.800E-02 5.365E-03 4.479E+00 15 4.11 7.00 3.683E-03 1.822E+00 1.137E-02 1.334E-02 1.651E-02 5.375E-03 4.523E+00 17 4.69 8.00 3.265E-03 1.518E+00 1.036E-02 1.217E-02 1.506E-02 5.384E-03 4.564E+00 19 5.28 9.00 2.891E-03 1.266E+00 9.413E-03 1.105E-02 1.368E-02 5.393E-03 4.602E+00 21 5.87 10.00 2.556E-03 1.057E+00 8.524E-03 1.001E-02 1.236E-02 5.400E-03 4.637E+00 Waveband 22 of 40 completed in 2.5 sec. * * * * * Output for wavelength band 23 (570.0 to 580.0 nm; nominal wavelength = 575.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 43.9 m at 575.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 570.0 nm to 580.0 nm: Ed(diffuse) = 3.854E-01 Ed(direct) = 1.191E+00 Ed(total) = 1.576E+00 Absorption Coefficients of Individual Components at 575.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0772 0.0268 0.0031 0.1071 3 0.590 1.000 0.0772 0.0268 0.0031 0.1071 5 1.179 2.000 0.0772 0.0268 0.0031 0.1071 7 1.769 3.000 0.0772 0.0268 0.0031 0.1071 9 2.359 4.000 0.0772 0.0268 0.0031 0.1071 11 2.948 5.000 0.0772 0.0268 0.0031 0.1071 13 3.538 6.000 0.0772 0.0268 0.0031 0.1071 15 4.127 7.000 0.0772 0.0268 0.0031 0.1071 17 4.717 8.000 0.0772 0.0268 0.0031 0.1071 19 5.307 9.000 0.0772 0.0268 0.0031 0.1071 21 5.896 10.000 0.0772 0.0268 0.0031 0.1071 Scattering Coefficients of Individual Components at 575.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0016 0.4809 0.0000 0.4825 3 0.590 1.000 0.0016 0.4809 0.0000 0.4825 5 1.179 2.000 0.0016 0.4809 0.0000 0.4825 7 1.769 3.000 0.0016 0.4809 0.0000 0.4825 9 2.359 4.000 0.0016 0.4809 0.0000 0.4825 11 2.948 5.000 0.0016 0.4809 0.0000 0.4825 13 3.538 6.000 0.0016 0.4809 0.0000 0.4825 15 4.127 7.000 0.0016 0.4809 0.0000 0.4825 17 4.717 8.000 0.0016 0.4809 0.0000 0.4825 19 5.307 9.000 0.0016 0.4809 0.0000 0.4825 21 5.896 10.000 0.0016 0.4809 0.0000 0.4825 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 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00079 0.00481 0.00000 0.00560 3 0.590 1.000 0.00079 0.00481 0.00000 0.00560 5 1.179 2.000 0.00079 0.00481 0.00000 0.00560 7 1.769 3.000 0.00079 0.00481 0.00000 0.00560 9 2.359 4.000 0.00079 0.00481 0.00000 0.00560 11 2.948 5.000 0.00079 0.00481 0.00000 0.00560 13 3.538 6.000 0.00079 0.00481 0.00000 0.00560 15 4.127 7.000 0.00079 0.00481 0.00000 0.00560 17 4.717 8.000 0.00079 0.00481 0.00000 0.00560 19 5.307 9.000 0.00079 0.00481 0.00000 0.00560 21 5.896 10.000 0.00079 0.00481 0.00000 0.00560 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 0.1071 0.4825 0.5896 0.8183 0.00560 0.01160 3 0.590 1.000 0.1071 0.4825 0.5896 0.8183 0.00560 0.01160 5 1.179 2.000 0.1071 0.4825 0.5896 0.8183 0.00560 0.01160 7 1.769 3.000 0.1071 0.4825 0.5896 0.8183 0.00560 0.01160 9 2.359 4.000 0.1071 0.4825 0.5896 0.8183 0.00560 0.01160 11 2.948 5.000 0.1071 0.4825 0.5896 0.8183 0.00560 0.01160 13 3.538 6.000 0.1071 0.4825 0.5896 0.8183 0.00560 0.01160 15 4.127 7.000 0.1071 0.4825 0.5896 0.8183 0.00560 0.01160 17 4.717 8.000 0.1071 0.4825 0.5896 0.8183 0.00560 0.01160 19 5.307 9.000 0.1071 0.4825 0.5896 0.8183 0.00560 0.01160 21 5.896 10.000 0.1071 0.4825 0.5896 0.8183 0.00560 0.01160 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.2668E-01 8 20.00 7.5557E-01 7 30.00 5.4745E-01 6 40.00 3.6054E-01 5 50.00 2.2175E-01 4 60.00 1.3126E-01 3 70.00 7.7095E-02 2 80.00 4.6377E-02 1 87.50 3.2286E-02 1 92.50 2.5141E-02 2 100.00 1.8495E-02 3 110.00 1.3079E-02 4 120.00 9.8285E-03 5 130.00 7.8787E-03 6 140.00 6.6981E-03 7 150.00 5.9844E-03 8 160.00 5.5659E-03 9 170.00 5.3466E-03 10 180.00 5.2705E-03 Asymptotic AOP values are MUu(inf) = 0.3634 MUd(inf) = 0.7573 MU(inf) = 0.7042 R(inf) = 0.0239 Lu(inf)/Ed(inf) = 0.004657 (1/sr) k(inf) = 0.1521 (1/m) absorp(check) = 0.1071 = 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 1.4019E-01 1.9274E+00 2.0676E+00 5.8567E-02 1.5760E+00 0.4178 0.8177 0.7339 3.7162E-02 1 0.00 0.00 6.8104E-02 1.6623E+00 1.7304E+00 2.8634E-02 1.5461E+00 0.4204 0.9301 0.8769 1.8520E-02 3 0.59 1.00 6.3164E-02 1.5001E+00 1.5633E+00 2.6039E-02 1.3677E+00 0.4122 0.9117 0.8582 1.9038E-02 5 1.18 2.00 5.7807E-02 1.3454E+00 1.4032E+00 2.3494E-02 1.2069E+00 0.4064 0.8971 0.8434 1.9466E-02 7 1.77 3.00 5.2439E-02 1.2011E+00 1.2535E+00 2.1079E-02 1.0628E+00 0.4020 0.8849 0.8310 1.9833E-02 9 2.36 4.00 4.7269E-02 1.0685E+00 1.1157E+00 1.8830E-02 9.3420E-01 0.3984 0.8743 0.8204 2.0157E-02 11 2.95 5.00 4.2400E-02 9.4770E-01 9.9010E-01 1.6763E-02 8.1982E-01 0.3954 0.8651 0.8111 2.0447E-02 13 3.54 6.00 3.7882E-02 8.3846E-01 8.7634E-01 1.4879E-02 7.1840E-01 0.3928 0.8568 0.8028 2.0711E-02 15 4.13 7.00 3.3732E-02 7.4017E-01 7.7391E-01 1.3172E-02 6.2870E-01 0.3905 0.8494 0.7953 2.0952E-02 17 4.72 8.00 2.9951E-02 6.5213E-01 6.8208E-01 1.1635E-02 5.4952E-01 0.3885 0.8426 0.7886 2.1174E-02 19 5.31 9.00 2.6526E-02 5.7354E-01 6.0007E-01 1.0257E-02 4.7977E-01 0.3867 0.8365 0.7824 2.1379E-02 21 5.90 10.00 2.3439E-02 5.0361E-01 5.2705E-01 9.0254E-03 4.1843E-01 0.3851 0.8309 0.7768 2.1570E-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 0.06922 0.09966 0.09846 0.09051 0.12117 0.12174 0.11597 1.000 1.010 1.005 0.08293 0.10612 0.10518 0.09946 0.12392 0.12439 0.11969 2.000 2.010 2.005 0.09367 0.11140 0.11067 0.10599 0.12619 0.12659 0.12260 3.000 3.010 3.005 0.10097 0.11537 0.11476 0.11082 0.12812 0.12847 0.12501 4.000 4.010 4.005 0.10646 0.11858 0.11806 0.11466 0.12983 0.13014 0.12708 5.000 5.010 5.005 0.11083 0.12128 0.12084 0.11786 0.13136 0.13164 0.12891 6.000 6.010 6.005 0.11445 0.12363 0.12323 0.12060 0.13275 0.13300 0.13054 7.000 7.010 7.005 0.11754 0.12570 0.12535 0.12300 0.13402 0.13426 0.13201 8.000 8.010 8.005 0.12023 0.12756 0.12724 0.12512 0.13519 0.13541 0.13336 9.000 9.010 9.005 0.12262 0.12925 0.12896 0.12705 0.13628 0.13648 0.13461 10.000 10.010 10.005 0.12475 0.13079 0.13052 0.12879 0.13729 0.13748 0.13576 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 4.08154E-01 3.78761E-03 5.98061E-02 6.35937E-02 2.40328E-03 0.146528 9 1 10.0 0.0 180.0 1.78946E-01 3.84636E-03 2.59212E-02 2.97676E-02 2.44056E-03 0.144855 9 4 10.0 45.0 135.0 2.00020E-01 3.83025E-03 2.98679E-02 3.36981E-02 2.43034E-03 0.149324 9 7 10.0 90.0 90.0 2.79306E-01 3.82030E-03 4.52286E-02 4.90489E-02 2.42402E-03 0.161932 8 1 20.0 0.0 180.0 1.06977E-01 3.88030E-03 8.25851E-03 1.21388E-02 2.46209E-03 0.077199 8 4 20.0 45.0 135.0 1.19374E-01 3.84303E-03 1.07027E-02 1.45458E-02 2.43844E-03 0.089657 8 7 20.0 90.0 90.0 1.67759E-01 3.83642E-03 2.18261E-02 2.56625E-02 2.43425E-03 0.130103 7 1 30.0 0.0 180.0 7.53752E-02 3.93521E-03 2.66624E-03 6.60144E-03 2.49693E-03 0.035373 7 4 30.0 45.0 135.0 8.23138E-02 3.93265E-03 3.41168E-03 7.34433E-03 2.49531E-03 0.041447 7 7 30.0 90.0 90.0 1.08205E-01 3.90713E-03 7.23837E-03 1.11455E-02 2.47911E-03 0.066895 6 1 40.0 0.0 180.0 6.19183E-02 3.97774E-03 1.81702E-03 5.79476E-03 2.52392E-03 0.029345 6 4 40.0 45.0 135.0 6.62949E-02 3.97259E-03 2.00000E-03 5.97259E-03 2.52065E-03 0.030168 6 7 40.0 90.0 90.0 8.13825E-02 3.95405E-03 2.92555E-03 6.87960E-03 2.50889E-03 0.035948 5 1 50.0 0.0 180.0 5.73503E-02 4.05191E-03 2.31863E-03 6.37054E-03 2.57098E-03 0.040429 5 4 50.0 45.0 135.0 6.05720E-02 4.02746E-03 2.44560E-03 6.47305E-03 2.55546E-03 0.040375 5 7 50.0 90.0 90.0 7.09211E-02 4.01705E-03 2.90450E-03 6.92154E-03 2.54886E-03 0.040954 4 1 60.0 0.0 180.0 5.94853E-02 4.02177E-03 4.56570E-03 8.58747E-03 2.55185E-03 0.076753 4 4 60.0 45.0 135.0 6.20575E-02 3.99415E-03 4.70733E-03 8.70148E-03 2.53433E-03 0.075854 4 7 60.0 90.0 90.0 7.02122E-02 4.03448E-03 5.27641E-03 9.31090E-03 2.55992E-03 0.075150 3 1 70.0 0.0 180.0 7.13399E-02 3.77269E-03 1.14162E-02 1.51889E-02 2.39381E-03 0.160025 3 4 70.0 45.0 135.0 7.32254E-02 3.78846E-03 1.16882E-02 1.54766E-02 2.40382E-03 0.159619 3 7 70.0 90.0 90.0 7.98586E-02 3.82675E-03 1.27147E-02 1.65414E-02 2.42811E-03 0.159215 2 1 80.0 0.0 180.0 1.06385E-01 3.26792E-03 2.71199E-02 3.03879E-02 2.07353E-03 0.254922 2 4 80.0 45.0 135.0 1.06898E-01 3.27433E-03 2.81480E-02 3.14223E-02 2.07760E-03 0.263315 2 7 80.0 90.0 90.0 1.11146E-01 3.30649E-03 3.01354E-02 3.34418E-02 2.09800E-03 0.271133 1 1 87.5 0.0 180.0 1.60379E-01 2.66586E-03 4.72554E-02 4.99212E-02 1.69152E-03 0.294649 1 4 87.5 45.0 135.0 1.58458E-01 2.54271E-03 5.04319E-02 5.29746E-02 1.61338E-03 0.318267 1 7 87.5 90.0 90.0 1.58163E-01 2.83858E-03 5.31581E-02 5.59967E-02 1.80111E-03 0.336097 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 6.359E-02 4.082E-01 1.051E-01 1.071E-01 1.146E-01 4.035E-02 9.210E-01 3.788E-03 2.403E-03 1 0.00 0.00 7.028E-03 6.456E+00 1.522E-02 1.706E-02 1.942E-02 4.546E-03 4.074E+00 3 0.59 1.00 6.246E-03 5.362E+00 1.481E-02 1.704E-02 2.060E-02 4.567E-03 4.169E+00 5 1.18 2.00 5.533E-03 4.442E+00 1.417E-02 1.644E-02 2.011E-02 4.585E-03 4.246E+00 7 1.77 3.00 4.889E-03 3.673E+00 1.325E-02 1.546E-02 1.904E-02 4.600E-03 4.311E+00 9 2.36 4.00 4.310E-03 3.033E+00 1.223E-02 1.432E-02 1.771E-02 4.614E-03 4.369E+00 11 2.95 5.00 3.792E-03 2.503E+00 1.118E-02 1.312E-02 1.628E-02 4.626E-03 4.421E+00 13 3.54 6.00 3.331E-03 2.065E+00 1.015E-02 1.194E-02 1.483E-02 4.636E-03 4.467E+00 15 4.13 7.00 2.921E-03 1.703E+00 9.171E-03 1.079E-02 1.342E-02 4.646E-03 4.510E+00 17 4.72 8.00 2.558E-03 1.405E+00 8.249E-03 9.713E-03 1.207E-02 4.655E-03 4.549E+00 19 5.31 9.00 2.237E-03 1.160E+00 7.393E-03 8.705E-03 1.081E-02 4.663E-03 4.585E+00 21 5.90 10.00 1.954E-03 9.579E-01 6.606E-03 7.775E-03 9.644E-03 4.671E-03 4.618E+00 Waveband 23 of 40 completed in 2.6 sec. * * * * * Output for wavelength band 24 (580.0 to 590.0 nm; nominal wavelength = 585.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 42.5 m at 585.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 580.0 nm to 590.0 nm: Ed(diffuse) = 3.726E-01 Ed(direct) = 1.166E+00 Ed(total) = 1.538E+00 Absorption Coefficients of Individual Components at 585.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1100 0.0278 0.0027 0.1405 3 0.615 1.000 0.1100 0.0278 0.0027 0.1405 5 1.229 2.000 0.1100 0.0278 0.0027 0.1405 7 1.844 3.000 0.1100 0.0278 0.0027 0.1405 9 2.459 4.000 0.1100 0.0278 0.0027 0.1405 11 3.074 5.000 0.1100 0.0278 0.0027 0.1405 13 3.688 6.000 0.1100 0.0278 0.0027 0.1405 15 4.303 7.000 0.1100 0.0278 0.0027 0.1405 17 4.918 8.000 0.1100 0.0278 0.0027 0.1405 19 5.533 9.000 0.1100 0.0278 0.0027 0.1405 21 6.147 10.000 0.1100 0.0278 0.0027 0.1405 Scattering Coefficients of Individual Components at 585.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0015 0.4727 0.0000 0.4742 3 0.615 1.000 0.0015 0.4727 0.0000 0.4742 5 1.229 2.000 0.0015 0.4727 0.0000 0.4742 7 1.844 3.000 0.0015 0.4727 0.0000 0.4742 9 2.459 4.000 0.0015 0.4727 0.0000 0.4742 11 3.074 5.000 0.0015 0.4727 0.0000 0.4742 13 3.688 6.000 0.0015 0.4727 0.0000 0.4742 15 4.303 7.000 0.0015 0.4727 0.0000 0.4742 17 4.918 8.000 0.0015 0.4727 0.0000 0.4742 19 5.533 9.000 0.0015 0.4727 0.0000 0.4742 21 6.147 10.000 0.0015 0.4727 0.0000 0.4742 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 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00073 0.00473 0.00000 0.00546 3 0.615 1.000 0.00073 0.00473 0.00000 0.00546 5 1.229 2.000 0.00073 0.00473 0.00000 0.00546 7 1.844 3.000 0.00073 0.00473 0.00000 0.00546 9 2.459 4.000 0.00073 0.00473 0.00000 0.00546 11 3.074 5.000 0.00073 0.00473 0.00000 0.00546 13 3.688 6.000 0.00073 0.00473 0.00000 0.00546 15 4.303 7.000 0.00073 0.00473 0.00000 0.00546 17 4.918 8.000 0.00073 0.00473 0.00000 0.00546 19 5.533 9.000 0.00073 0.00473 0.00000 0.00546 21 6.147 10.000 0.00073 0.00473 0.00000 0.00546 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 0.1405 0.4742 0.6147 0.7714 0.00546 0.01152 3 0.615 1.000 0.1405 0.4742 0.6147 0.7714 0.00546 0.01152 5 1.229 2.000 0.1405 0.4742 0.6147 0.7714 0.00546 0.01152 7 1.844 3.000 0.1405 0.4742 0.6147 0.7714 0.00546 0.01152 9 2.459 4.000 0.1405 0.4742 0.6147 0.7714 0.00546 0.01152 11 3.074 5.000 0.1405 0.4742 0.6147 0.7714 0.00546 0.01152 13 3.688 6.000 0.1405 0.4742 0.6147 0.7714 0.00546 0.01152 15 4.303 7.000 0.1405 0.4742 0.6147 0.7714 0.00546 0.01152 17 4.918 8.000 0.1405 0.4742 0.6147 0.7714 0.00546 0.01152 19 5.533 9.000 0.1405 0.4742 0.6147 0.7714 0.00546 0.01152 21 6.147 10.000 0.1405 0.4742 0.6147 0.7714 0.00546 0.01152 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.1314E-01 8 20.00 7.1621E-01 7 30.00 4.8958E-01 6 40.00 3.0065E-01 5 50.00 1.7186E-01 4 60.00 9.4987E-02 3 70.00 5.2646E-02 2 80.00 3.0291E-02 1 87.50 2.0588E-02 1 92.50 1.5871E-02 2 100.00 1.1551E-02 3 110.00 8.1068E-03 4 120.00 6.0916E-03 5 130.00 4.9070E-03 6 140.00 4.2024E-03 7 150.00 3.7835E-03 8 160.00 3.5416E-03 9 170.00 3.4164E-03 10 180.00 3.3730E-03 Asymptotic AOP values are MUu(inf) = 0.3635 MUd(inf) = 0.7825 MU(inf) = 0.7423 R(inf) = 0.0169 Lu(inf)/Ed(inf) = 0.003373 (1/sr) k(inf) = 0.1894 (1/m) absorp(check) = 0.1406 = 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 1.2982E-01 1.8784E+00 2.0082E+00 5.3798E-02 1.5384E+00 0.4144 0.8190 0.7393 3.4970E-02 1 0.00 0.00 4.8964E-02 1.6082E+00 1.6571E+00 2.0392E-02 1.5050E+00 0.4165 0.9359 0.8959 1.3550E-02 3 0.61 1.00 4.3941E-02 1.4000E+00 1.4440E+00 1.7922E-02 1.2853E+00 0.4079 0.9181 0.8777 1.3944E-02 5 1.23 2.00 3.8782E-02 1.2100E+00 1.2488E+00 1.5604E-02 1.0945E+00 0.4024 0.9046 0.8640 1.4256E-02 7 1.84 3.00 3.3900E-02 1.0407E+00 1.0746E+00 1.3503E-02 9.2987E-01 0.3983 0.8935 0.8528 1.4522E-02 9 2.46 4.00 2.9438E-02 8.9171E-01 9.2115E-01 1.1633E-02 7.8838E-01 0.3952 0.8841 0.8432 1.4755E-02 11 3.07 5.00 2.5437E-02 7.6178E-01 7.8722E-01 9.9851E-03 6.6725E-01 0.3925 0.8759 0.8349 1.4965E-02 13 3.69 6.00 2.1893E-02 6.4912E-01 6.7102E-01 8.5453E-03 5.6383E-01 0.3903 0.8686 0.8275 1.5156E-02 15 4.30 7.00 1.8781E-02 5.5190E-01 5.7068E-01 7.2945E-03 4.7577E-01 0.3884 0.8621 0.8209 1.5332E-02 17 4.92 8.00 1.6065E-02 4.6831E-01 4.8438E-01 6.2127E-03 4.0093E-01 0.3867 0.8561 0.8149 1.5496E-02 19 5.53 9.00 1.3709E-02 3.9668E-01 4.1039E-01 5.2809E-03 3.3746E-01 0.3852 0.8507 0.8094 1.5649E-02 21 6.15 10.00 1.1673E-02 3.3546E-01 3.4714E-01 4.4807E-03 2.8372E-01 0.3839 0.8458 0.8044 1.5793E-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 0.09638 0.13381 0.13271 0.12271 0.15604 0.15650 0.14962 1.000 1.010 1.005 0.11836 0.14283 0.14208 0.13463 0.15937 0.15972 0.15408 2.000 2.010 2.005 0.13047 0.14860 0.14803 0.14194 0.16195 0.16224 0.15734 3.000 3.010 3.005 0.13822 0.15278 0.15232 0.14708 0.16411 0.16436 0.15994 4.000 4.010 4.005 0.14384 0.15608 0.15569 0.15106 0.16598 0.16621 0.16213 5.000 5.010 5.005 0.14822 0.15884 0.15850 0.15431 0.16765 0.16785 0.16403 6.000 6.010 6.005 0.15181 0.16121 0.16090 0.15707 0.16914 0.16933 0.16571 7.000 7.010 7.005 0.15486 0.16330 0.16302 0.15946 0.17051 0.17068 0.16722 8.000 8.010 8.005 0.15746 0.16516 0.16490 0.16156 0.17176 0.17192 0.16859 9.000 9.010 9.005 0.15975 0.16684 0.16660 0.16344 0.17292 0.17307 0.16984 10.000 10.010 10.005 0.16179 0.16838 0.16815 0.16515 0.17399 0.17414 0.17099 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 585.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 3.94536E-01 2.71378E-03 5.84933E-02 6.12071E-02 1.76402E-03 0.148259 9 1 10.0 0.0 180.0 1.72975E-01 2.75764E-03 2.53331E-02 2.80907E-02 1.79253E-03 0.146455 9 4 10.0 45.0 135.0 1.93348E-01 2.74496E-03 2.91942E-02 3.19392E-02 1.78428E-03 0.150994 9 7 10.0 90.0 90.0 2.69981E-01 2.73508E-03 4.42258E-02 4.69609E-02 1.77786E-03 0.163811 8 1 20.0 0.0 180.0 1.03408E-01 2.78013E-03 8.05312E-03 1.08333E-02 1.80714E-03 0.077877 8 4 20.0 45.0 135.0 1.15391E-01 2.75155E-03 1.04430E-02 1.31945E-02 1.78857E-03 0.090500 8 7 20.0 90.0 90.0 1.62162E-01 2.74232E-03 2.13240E-02 2.40663E-02 1.78257E-03 0.131498 7 1 30.0 0.0 180.0 7.28603E-02 2.81620E-03 2.58613E-03 5.40234E-03 1.83059E-03 0.035494 7 4 30.0 45.0 135.0 7.95673E-02 2.81177E-03 3.31358E-03 6.12536E-03 1.82771E-03 0.041645 7 7 30.0 90.0 90.0 1.04595E-01 2.78734E-03 7.05198E-03 9.83932E-03 1.81183E-03 0.067422 6 1 40.0 0.0 180.0 5.98524E-02 2.84019E-03 1.75684E-03 4.59704E-03 1.84619E-03 0.029353 6 4 40.0 45.0 135.0 6.40830E-02 2.83313E-03 1.93429E-03 4.76742E-03 1.84160E-03 0.030184 6 7 40.0 90.0 90.0 7.86672E-02 2.81194E-03 2.83423E-03 5.64617E-03 1.82782E-03 0.036028 5 1 50.0 0.0 180.0 5.54368E-02 2.88702E-03 2.24132E-03 5.12834E-03 1.87663E-03 0.040430 5 4 50.0 45.0 135.0 5.85510E-02 2.86576E-03 2.36400E-03 5.22975E-03 1.86280E-03 0.040375 5 7 50.0 90.0 90.0 6.85548E-02 2.84944E-03 2.80787E-03 5.65731E-03 1.85220E-03 0.040958 4 1 60.0 0.0 180.0 5.75005E-02 2.85978E-03 4.41336E-03 7.27314E-03 1.85892E-03 0.076753 4 4 60.0 45.0 135.0 5.99870E-02 2.83606E-03 4.55027E-03 7.38633E-03 1.84350E-03 0.075854 4 7 60.0 90.0 90.0 6.78696E-02 2.85531E-03 5.10036E-03 7.95568E-03 1.85601E-03 0.075150 3 1 70.0 0.0 180.0 6.89596E-02 2.67824E-03 1.10353E-02 1.37135E-02 1.74091E-03 0.160025 3 4 70.0 45.0 135.0 7.07822E-02 2.68558E-03 1.12982E-02 1.39838E-02 1.74568E-03 0.159619 3 7 70.0 90.0 90.0 7.71941E-02 2.70402E-03 1.22905E-02 1.49945E-02 1.75767E-03 0.159215 2 1 80.0 0.0 180.0 1.02836E-01 2.31741E-03 2.62151E-02 2.85325E-02 1.50637E-03 0.254922 2 4 80.0 45.0 135.0 1.03332E-01 2.31870E-03 2.72088E-02 2.95275E-02 1.50720E-03 0.263315 2 7 80.0 90.0 90.0 1.07438E-01 2.33446E-03 2.91299E-02 3.14643E-02 1.51745E-03 0.271133 1 1 87.5 0.0 180.0 1.55027E-01 1.88996E-03 4.56787E-02 4.75686E-02 1.22851E-03 0.294649 1 4 87.5 45.0 135.0 1.53171E-01 1.80036E-03 4.87492E-02 5.05495E-02 1.17027E-03 0.318267 1 7 87.5 90.0 90.0 1.52886E-01 2.00458E-03 5.13845E-02 5.33891E-02 1.30302E-03 0.336097 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 6.121E-02 3.945E-01 1.013E-01 1.031E-01 1.104E-01 3.979E-02 8.790E-01 2.714E-03 1.764E-03 1 0.00 0.00 5.036E-03 6.313E+00 1.114E-02 1.254E-02 1.436E-02 3.346E-03 4.049E+00 3 0.61 1.00 4.326E-03 5.078E+00 1.074E-02 1.244E-02 1.519E-02 3.366E-03 4.143E+00 5 1.23 2.00 3.702E-03 4.074E+00 9.896E-03 1.155E-02 1.426E-02 3.382E-03 4.215E+00 7 1.84 3.00 3.159E-03 3.262E+00 8.896E-03 1.043E-02 1.295E-02 3.397E-03 4.275E+00 9 2.46 4.00 2.689E-03 2.609E+00 7.886E-03 9.278E-03 1.156E-02 3.411E-03 4.326E+00 11 3.07 5.00 2.284E-03 2.084E+00 6.927E-03 8.167E-03 1.020E-02 3.424E-03 4.371E+00 13 3.69 6.00 1.937E-03 1.664E+00 6.045E-03 7.137E-03 8.921E-03 3.436E-03 4.411E+00 15 4.30 7.00 1.640E-03 1.329E+00 5.250E-03 6.202E-03 7.754E-03 3.447E-03 4.448E+00 17 4.92 8.00 1.387E-03 1.061E+00 4.541E-03 5.365E-03 6.703E-03 3.458E-03 4.481E+00 19 5.53 9.00 1.171E-03 8.479E-01 3.915E-03 4.623E-03 5.769E-03 3.469E-03 4.511E+00 21 6.15 10.00 9.873E-04 6.778E-01 3.366E-03 3.971E-03 4.947E-03 3.480E-03 4.538E+00 Waveband 24 of 40 completed in 2.7 sec. * * * * * Output for wavelength band 25 (590.0 to 600.0 nm; nominal wavelength = 595.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 40.3 m at 595.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 590.0 nm to 600.0 nm: Ed(diffuse) = 3.558E-01 Ed(direct) = 1.128E+00 Ed(total) = 1.484E+00 Absorption Coefficients of Individual Components at 595.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1672 0.0247 0.0024 0.1943 3 0.660 1.000 0.1672 0.0247 0.0024 0.1943 5 1.321 2.000 0.1672 0.0247 0.0024 0.1943 7 1.981 3.000 0.1672 0.0247 0.0024 0.1943 9 2.642 4.000 0.1672 0.0247 0.0024 0.1943 11 3.302 5.000 0.1672 0.0247 0.0024 0.1943 13 3.963 6.000 0.1672 0.0247 0.0024 0.1943 15 4.623 7.000 0.1672 0.0247 0.0024 0.1943 17 5.283 8.000 0.1672 0.0247 0.0024 0.1943 19 5.944 9.000 0.1672 0.0247 0.0024 0.1943 21 6.604 10.000 0.1672 0.0247 0.0024 0.1943 Scattering Coefficients of Individual Components at 595.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0014 0.4648 0.0000 0.4661 3 0.660 1.000 0.0014 0.4648 0.0000 0.4661 5 1.321 2.000 0.0014 0.4648 0.0000 0.4661 7 1.981 3.000 0.0014 0.4648 0.0000 0.4661 9 2.642 4.000 0.0014 0.4648 0.0000 0.4661 11 3.302 5.000 0.0014 0.4648 0.0000 0.4661 13 3.963 6.000 0.0014 0.4648 0.0000 0.4661 15 4.623 7.000 0.0014 0.4648 0.0000 0.4661 17 5.283 8.000 0.0014 0.4648 0.0000 0.4661 19 5.944 9.000 0.0014 0.4648 0.0000 0.4661 21 6.604 10.000 0.0014 0.4648 0.0000 0.4661 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 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00068 0.00465 0.00000 0.00533 3 0.660 1.000 0.00068 0.00465 0.00000 0.00533 5 1.321 2.000 0.00068 0.00465 0.00000 0.00533 7 1.981 3.000 0.00068 0.00465 0.00000 0.00533 9 2.642 4.000 0.00068 0.00465 0.00000 0.00533 11 3.302 5.000 0.00068 0.00465 0.00000 0.00533 13 3.963 6.000 0.00068 0.00465 0.00000 0.00533 15 4.623 7.000 0.00068 0.00465 0.00000 0.00533 17 5.283 8.000 0.00068 0.00465 0.00000 0.00533 19 5.944 9.000 0.00068 0.00465 0.00000 0.00533 21 6.604 10.000 0.00068 0.00465 0.00000 0.00533 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 0.1943 0.4661 0.6604 0.7058 0.00533 0.01143 3 0.660 1.000 0.1943 0.4661 0.6604 0.7058 0.00533 0.01143 5 1.321 2.000 0.1943 0.4661 0.6604 0.7058 0.00533 0.01143 7 1.981 3.000 0.1943 0.4661 0.6604 0.7058 0.00533 0.01143 9 2.642 4.000 0.1943 0.4661 0.6604 0.7058 0.00533 0.01143 11 3.302 5.000 0.1943 0.4661 0.6604 0.7058 0.00533 0.01143 13 3.963 6.000 0.1943 0.4661 0.6604 0.7058 0.00533 0.01143 15 4.623 7.000 0.1943 0.4661 0.6604 0.7058 0.00533 0.01143 17 5.283 8.000 0.1943 0.4661 0.6604 0.7058 0.00533 0.01143 19 5.944 9.000 0.1943 0.4661 0.6604 0.7058 0.00533 0.01143 21 6.604 10.000 0.1943 0.4661 0.6604 0.7058 0.00533 0.01143 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.9361E-01 8 20.00 6.6246E-01 7 30.00 4.1690E-01 6 40.00 2.3260E-01 5 50.00 1.2083E-01 4 60.00 6.1412E-02 3 70.00 3.1894E-02 2 80.00 1.7545E-02 1 87.50 1.1673E-02 1 92.50 8.9424E-03 2 100.00 6.4680E-03 3 110.00 4.5283E-03 4 120.00 3.4196E-03 5 130.00 2.7801E-03 6 140.00 2.4065E-03 7 150.00 2.1887E-03 8 160.00 2.0654E-03 9 170.00 2.0026E-03 10 180.00 1.9810E-03 Asymptotic AOP values are MUu(inf) = 0.3659 MUd(inf) = 0.8115 MU(inf) = 0.7829 R(inf) = 0.0113 Lu(inf)/Ed(inf) = 0.002321 (1/sr) k(inf) = 0.2482 (1/m) absorp(check) = 0.1943 = 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 1.1953E-01 1.8085E+00 1.9280E+00 4.9191E-02 1.4835E+00 0.4115 0.8203 0.7439 3.3159E-02 1 0.00 0.00 3.3041E-02 1.5390E+00 1.5720E+00 1.3636E-02 1.4479E+00 0.4127 0.9408 0.9124 9.4177E-03 3 0.66 1.00 2.8053E-02 1.2643E+00 1.2924E+00 1.1338E-02 1.1685E+00 0.4042 0.9242 0.8954 9.7033E-03 5 1.32 2.00 2.3350E-02 1.0301E+00 1.0534E+00 9.3265E-03 9.3971E-01 0.3994 0.9123 0.8832 9.9249E-03 7 1.98 3.00 1.9244E-02 8.3486E-01 8.5410E-01 7.6241E-03 7.5371E-01 0.3962 0.9028 0.8735 1.0115E-02 9 2.64 4.00 1.5760E-02 6.7409E-01 6.8985E-01 6.2056E-03 6.0318E-01 0.3938 0.8948 0.8654 1.0288E-02 11 3.30 5.00 1.2848E-02 5.4263E-01 5.5548E-01 5.0346E-03 4.8179E-01 0.3919 0.8879 0.8583 1.0450E-02 13 3.96 6.00 1.0437E-02 4.3570E-01 4.4614E-01 4.0739E-03 3.8417E-01 0.3903 0.8817 0.8520 1.0605E-02 15 4.62 7.00 8.4553E-03 3.4907E-01 3.5753E-01 3.2896E-03 3.0586E-01 0.3891 0.8762 0.8463 1.0755E-02 17 5.28 8.00 6.8335E-03 2.7912E-01 2.8595E-01 2.6516E-03 2.4317E-01 0.3880 0.8712 0.8411 1.0904E-02 19 5.94 9.00 5.5120E-03 2.2280E-01 2.2831E-01 2.1341E-03 1.9308E-01 0.3872 0.8666 0.8364 1.1053E-02 21 6.60 10.00 4.4387E-03 1.7756E-01 1.8200E-01 1.7155E-03 1.5314E-01 0.3865 0.8624 0.8320 1.1202E-02 K-functions (units of 1/meter) at 595.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.14476 0.18991 0.18896 0.17580 0.21226 0.21261 0.20331 1.000 1.010 1.005 0.17641 0.20163 0.20108 0.19117 0.21636 0.21661 0.20847 2.000 2.010 2.005 0.18938 0.20786 0.20745 0.19891 0.21934 0.21954 0.21178 3.000 3.010 3.005 0.19700 0.21218 0.21183 0.20396 0.22175 0.22193 0.21421 4.000 4.010 4.005 0.20225 0.21552 0.21522 0.20765 0.22380 0.22397 0.21612 5.000 5.010 5.005 0.20620 0.21828 0.21800 0.21053 0.22561 0.22577 0.21766 6.000 6.010 6.005 0.20932 0.22064 0.22037 0.21286 0.22722 0.22738 0.21892 7.000 7.010 7.005 0.21186 0.22270 0.22245 0.21479 0.22869 0.22884 0.21995 8.000 8.010 8.005 0.21400 0.22455 0.22429 0.21641 0.23002 0.23017 0.22078 9.000 9.010 9.005 0.21582 0.22621 0.22596 0.21778 0.23125 0.23140 0.22144 10.000 10.010 10.005 0.21737 0.22772 0.22747 0.21893 0.23238 0.23253 0.22193 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 595.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 3.76837E-01 1.83087E-03 5.65117E-02 5.83425E-02 1.23416E-03 0.149963 9 1 10.0 0.0 180.0 1.65215E-01 1.86150E-03 2.44570E-02 2.63185E-02 1.25481E-03 0.148031 9 4 10.0 45.0 135.0 1.84675E-01 1.85220E-03 2.81885E-02 3.00407E-02 1.24854E-03 0.152638 9 7 10.0 90.0 90.0 2.57864E-01 1.84374E-03 4.27183E-02 4.45620E-02 1.24284E-03 0.165662 8 1 20.0 0.0 180.0 9.87687E-02 1.87525E-03 7.75788E-03 9.63313E-03 1.26408E-03 0.078546 8 4 20.0 45.0 135.0 1.10215E-01 1.85475E-03 1.00661E-02 1.19208E-02 1.25026E-03 0.091332 8 7 20.0 90.0 90.0 1.54888E-01 1.84556E-03 2.05802E-02 2.24258E-02 1.24406E-03 0.132872 7 1 30.0 0.0 180.0 6.95918E-02 1.89714E-03 2.47845E-03 4.37559E-03 1.27883E-03 0.035614 7 4 30.0 45.0 135.0 7.59979E-02 1.89244E-03 3.17974E-03 5.07218E-03 1.27566E-03 0.041840 7 7 30.0 90.0 90.0 9.99028E-02 1.87188E-03 6.78749E-03 8.65936E-03 1.26180E-03 0.067941 6 1 40.0 0.0 180.0 5.71674E-02 1.90848E-03 1.67846E-03 3.58694E-03 1.28648E-03 0.029360 6 4 40.0 45.0 135.0 6.12082E-02 1.90147E-03 1.84848E-03 3.74994E-03 1.28175E-03 0.030200 6 7 40.0 90.0 90.0 7.51381E-02 1.88187E-03 2.71300E-03 4.59487E-03 1.26854E-03 0.036107 5 1 50.0 0.0 180.0 5.29499E-02 1.93519E-03 2.14083E-03 4.07602E-03 1.30449E-03 0.040431 5 4 50.0 45.0 135.0 5.59244E-02 1.91833E-03 2.25795E-03 4.17628E-03 1.29312E-03 0.040375 5 7 50.0 90.0 90.0 6.54794E-02 1.90128E-03 2.68218E-03 4.58347E-03 1.28163E-03 0.040962 4 1 60.0 0.0 180.0 5.49211E-02 1.91232E-03 4.21538E-03 6.12770E-03 1.28907E-03 0.076753 4 4 60.0 45.0 135.0 5.72959E-02 1.89366E-03 4.34615E-03 6.23980E-03 1.27649E-03 0.075854 4 7 60.0 90.0 90.0 6.48249E-02 1.89996E-03 4.87156E-03 6.77152E-03 1.28073E-03 0.075150 3 1 70.0 0.0 180.0 6.58661E-02 1.78699E-03 1.05402E-02 1.23272E-02 1.20458E-03 0.160025 3 4 70.0 45.0 135.0 6.76069E-02 1.78919E-03 1.07914E-02 1.25806E-02 1.20607E-03 0.159619 3 7 70.0 90.0 90.0 7.37312E-02 1.79525E-03 1.17391E-02 1.35344E-02 1.21015E-03 0.159215 2 1 80.0 0.0 180.0 9.82223E-02 1.54373E-03 2.50391E-02 2.65828E-02 1.04061E-03 0.254922 2 4 80.0 45.0 135.0 9.86962E-02 1.54226E-03 2.59882E-02 2.75305E-02 1.03961E-03 0.263315 2 7 80.0 90.0 90.0 1.02618E-01 1.54762E-03 2.78231E-02 2.93707E-02 1.04323E-03 0.271133 1 1 87.5 0.0 180.0 1.48073E-01 1.25790E-03 4.36295E-02 4.48874E-02 8.47932E-04 0.294649 1 4 87.5 45.0 135.0 1.46300E-01 1.19659E-03 4.65623E-02 4.77589E-02 8.06605E-04 0.318267 1 7 87.5 90.0 90.0 1.46028E-01 1.32833E-03 4.90794E-02 5.04077E-02 8.95411E-04 0.336097 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 5.834E-02 3.768E-01 9.648E-02 9.822E-02 1.052E-01 3.933E-02 8.431E-01 1.831E-03 1.234E-03 1 0.00 0.00 3.398E-03 6.098E+00 7.673E-03 8.687E-03 9.997E-03 2.347E-03 4.013E+00 3 0.66 1.00 2.765E-03 4.654E+00 7.157E-03 8.346E-03 1.029E-02 2.366E-03 4.100E+00 5 1.32 2.00 2.241E-03 3.543E+00 6.189E-03 7.266E-03 9.040E-03 2.385E-03 4.162E+00 7 1.98 3.00 1.811E-03 2.691E+00 5.217E-03 6.148E-03 7.686E-03 2.403E-03 4.210E+00 9 2.64 4.00 1.460E-03 2.042E+00 4.340E-03 5.127E-03 6.427E-03 2.421E-03 4.249E+00 11 3.30 5.00 1.176E-03 1.547E+00 3.581E-03 4.237E-03 5.318E-03 2.440E-03 4.283E+00 13 3.96 6.00 9.450E-04 1.172E+00 2.939E-03 3.479E-03 4.367E-03 2.460E-03 4.311E+00 15 4.62 7.00 7.588E-04 8.874E-01 2.402E-03 2.843E-03 3.566E-03 2.481E-03 4.335E+00 17 5.28 8.00 6.087E-04 6.720E-01 1.957E-03 2.314E-03 2.899E-03 2.503E-03 4.356E+00 19 5.94 9.00 4.880E-04 5.090E-01 1.590E-03 1.878E-03 2.347E-03 2.527E-03 4.373E+00 21 6.60 10.00 3.910E-04 3.857E-01 1.289E-03 1.520E-03 1.895E-03 2.553E-03 4.388E+00 Waveband 25 of 40 completed in 2.9 sec. * * * * * Output for wavelength band 26 (600.0 to 610.0 nm; nominal wavelength = 605.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 36.8 m at 605.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 600.0 nm to 610.0 nm: Ed(diffuse) = 3.611E-01 Ed(direct) = 1.158E+00 Ed(total) = 1.519E+00 Absorption Coefficients of Individual Components at 605.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2577 0.0278 0.0020 0.2876 3 0.746 1.000 0.2577 0.0278 0.0020 0.2876 5 1.492 2.000 0.2577 0.0278 0.0020 0.2876 7 2.238 3.000 0.2577 0.0278 0.0020 0.2876 9 2.984 4.000 0.2577 0.0278 0.0020 0.2876 11 3.730 5.000 0.2577 0.0278 0.0020 0.2876 13 4.476 6.000 0.2577 0.0278 0.0020 0.2876 15 5.222 7.000 0.2577 0.0278 0.0020 0.2876 17 5.968 8.000 0.2577 0.0278 0.0020 0.2876 19 6.713 9.000 0.2577 0.0278 0.0020 0.2876 21 7.459 10.000 0.2577 0.0278 0.0020 0.2876 Scattering Coefficients of Individual Components at 605.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0013 0.4571 0.0000 0.4584 3 0.746 1.000 0.0013 0.4571 0.0000 0.4584 5 1.492 2.000 0.0013 0.4571 0.0000 0.4584 7 2.238 3.000 0.0013 0.4571 0.0000 0.4584 9 2.984 4.000 0.0013 0.4571 0.0000 0.4584 11 3.730 5.000 0.0013 0.4571 0.0000 0.4584 13 4.476 6.000 0.0013 0.4571 0.0000 0.4584 15 5.222 7.000 0.0013 0.4571 0.0000 0.4584 17 5.968 8.000 0.0013 0.4571 0.0000 0.4584 19 6.713 9.000 0.0013 0.4571 0.0000 0.4584 21 7.459 10.000 0.0013 0.4571 0.0000 0.4584 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 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00063 0.00457 0.00000 0.00520 3 0.746 1.000 0.00063 0.00457 0.00000 0.00520 5 1.492 2.000 0.00063 0.00457 0.00000 0.00520 7 2.238 3.000 0.00063 0.00457 0.00000 0.00520 9 2.984 4.000 0.00063 0.00457 0.00000 0.00520 11 3.730 5.000 0.00063 0.00457 0.00000 0.00520 13 4.476 6.000 0.00063 0.00457 0.00000 0.00520 15 5.222 7.000 0.00063 0.00457 0.00000 0.00520 17 5.968 8.000 0.00063 0.00457 0.00000 0.00520 19 6.713 9.000 0.00063 0.00457 0.00000 0.00520 21 7.459 10.000 0.00063 0.00457 0.00000 0.00520 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 0.2876 0.4584 0.7459 0.6145 0.00520 0.01136 3 0.746 1.000 0.2876 0.4584 0.7459 0.6145 0.00520 0.01136 5 1.492 2.000 0.2876 0.4584 0.7459 0.6145 0.00520 0.01136 7 2.238 3.000 0.2876 0.4584 0.7459 0.6145 0.00520 0.01136 9 2.984 4.000 0.2876 0.4584 0.7459 0.6145 0.00520 0.01136 11 3.730 5.000 0.2876 0.4584 0.7459 0.6145 0.00520 0.01136 13 4.476 6.000 0.2876 0.4584 0.7459 0.6145 0.00520 0.01136 15 5.222 7.000 0.2876 0.4584 0.7459 0.6145 0.00520 0.01136 17 5.968 8.000 0.2876 0.4584 0.7459 0.6145 0.00520 0.01136 19 6.713 9.000 0.2876 0.4584 0.7459 0.6145 0.00520 0.01136 21 7.459 10.000 0.2876 0.4584 0.7459 0.6145 0.00520 0.01136 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.6392E-01 8 20.00 5.8720E-01 7 30.00 3.2691E-01 6 40.00 1.5944E-01 5 50.00 7.3149E-02 4 60.00 3.3708E-02 3 70.00 1.6391E-02 2 80.00 8.6813E-03 1 87.50 5.6948E-03 1 92.50 4.3620E-03 2 100.00 3.1549E-03 3 110.00 2.2181E-03 4 120.00 1.6928E-03 5 130.00 1.3948E-03 6 140.00 1.2242E-03 7 150.00 1.1272E-03 8 160.00 1.0738E-03 9 170.00 1.0473E-03 10 180.00 1.0382E-03 Asymptotic AOP values are MUu(inf) = 0.3710 MUd(inf) = 0.8440 MU(inf) = 0.8251 R(inf) = 0.0069 Lu(inf)/Ed(inf) = 0.001496 (1/sr) k(inf) = 0.3486 (1/m) absorp(check) = 0.2876 = 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 1.1767E-01 1.8486E+00 1.9663E+00 4.8152E-02 1.5186E+00 0.4092 0.8215 0.7478 3.1708E-02 1 0.00 0.00 2.2087E-02 1.5657E+00 1.5878E+00 9.0348E-03 1.4795E+00 0.4091 0.9449 0.9261 6.1067E-03 3 0.75 1.00 1.6991E-02 1.1633E+00 1.1803E+00 6.8202E-03 1.0821E+00 0.4014 0.9302 0.9111 6.3025E-03 5 1.49 2.00 1.2791E-02 8.5626E-01 8.6905E-01 5.0920E-03 7.8826E-01 0.3981 0.9206 0.9012 6.4598E-03 7 2.24 3.00 9.5464E-03 6.2697E-01 6.3652E-01 3.7830E-03 5.7248E-01 0.3963 0.9131 0.8934 6.6081E-03 9 2.98 4.00 7.0947E-03 4.5738E-01 4.6448E-01 2.8041E-03 4.1476E-01 0.3952 0.9068 0.8869 6.7607E-03 11 3.73 5.00 5.2602E-03 3.3269E-01 3.3795E-01 2.0765E-03 2.9988E-01 0.3948 0.9014 0.8812 6.9245E-03 13 4.48 6.00 3.8958E-03 2.4140E-01 2.4529E-01 1.5379E-03 2.1642E-01 0.3947 0.8965 0.8760 7.1059E-03 15 5.22 7.00 2.8851E-03 1.7479E-01 1.7767E-01 1.1400E-03 1.5594E-01 0.3951 0.8922 0.8713 7.3109E-03 17 5.97 8.00 2.1383E-03 1.2633E-01 1.2846E-01 8.4667E-04 1.1220E-01 0.3960 0.8881 0.8668 7.5464E-03 19 6.71 9.00 1.5871E-03 9.1139E-02 9.2726E-02 6.3036E-04 8.0604E-02 0.3972 0.8844 0.8625 7.8204E-03 21 7.46 10.00 1.1809E-03 6.5666E-02 6.6847E-02 4.7098E-04 5.7848E-02 0.3988 0.8809 0.8583 8.1416E-03 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 0.23575 0.28842 0.28769 0.26995 0.31000 0.31024 0.29643 1.000 1.010 1.005 0.27722 0.30296 0.30259 0.28851 0.31511 0.31528 0.30145 2.000 2.010 2.005 0.28887 0.30943 0.30913 0.29514 0.31849 0.31864 0.30335 3.000 3.010 3.005 0.29510 0.31371 0.31343 0.29856 0.32114 0.32129 0.30389 4.000 4.010 4.005 0.29829 0.31696 0.31668 0.30013 0.32336 0.32352 0.30338 5.000 5.010 5.005 0.29993 0.31961 0.31931 0.30052 0.32529 0.32546 0.30202 6.000 6.010 6.005 0.30049 0.32187 0.32153 0.29997 0.32699 0.32719 0.29986 7.000 7.010 7.005 0.30010 0.32383 0.32345 0.29856 0.32853 0.32875 0.29690 8.000 8.010 8.005 0.29892 0.32557 0.32512 0.29635 0.32991 0.33017 0.29315 9.000 9.010 9.005 0.29694 0.32711 0.32659 0.29332 0.33116 0.33146 0.28859 10.000 10.010 10.005 0.29416 0.32848 0.32787 0.28949 0.33228 0.33264 0.28324 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 605.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 3.82371E-01 1.22496E-03 5.79491E-02 5.91741E-02 8.06637E-04 0.151552 9 1 10.0 0.0 180.0 1.67641E-01 1.24608E-03 2.50624E-02 2.63085E-02 8.20539E-04 0.149500 9 4 10.0 45.0 135.0 1.87388E-01 1.23940E-03 2.88898E-02 3.01292E-02 8.16144E-04 0.154171 9 7 10.0 90.0 90.0 2.61645E-01 1.23263E-03 4.37962E-02 4.50288E-02 8.11687E-04 0.167388 8 1 20.0 0.0 180.0 1.00219E-01 1.25435E-03 7.93424E-03 9.18859E-03 8.25988E-04 0.079169 8 4 20.0 45.0 135.0 1.11833E-01 1.23988E-03 1.03005E-02 1.15404E-02 8.16459E-04 0.092106 8 7 20.0 90.0 90.0 1.57162E-01 1.23190E-03 2.10838E-02 2.23157E-02 8.11204E-04 0.134153 7 1 30.0 0.0 180.0 7.06137E-02 1.26741E-03 2.52273E-03 3.79014E-03 8.34586E-04 0.035726 7 4 30.0 45.0 135.0 7.71139E-02 1.26320E-03 3.24044E-03 4.50364E-03 8.31815E-04 0.042021 7 7 30.0 90.0 90.0 1.01370E-01 1.24691E-03 6.93622E-03 8.18313E-03 8.21090E-04 0.068425 6 1 40.0 0.0 180.0 5.80069E-02 1.27185E-03 1.70351E-03 2.97535E-03 8.37510E-04 0.029367 6 4 40.0 45.0 135.0 6.21070E-02 1.26576E-03 1.87653E-03 3.14229E-03 8.33500E-04 0.030214 6 7 40.0 90.0 90.0 7.62415E-02 1.24934E-03 2.75844E-03 4.00777E-03 8.22685E-04 0.036180 5 1 50.0 0.0 180.0 5.37274E-02 1.28648E-03 2.17232E-03 3.45880E-03 8.47148E-04 0.040432 5 4 50.0 45.0 135.0 5.67456E-02 1.27363E-03 2.29111E-03 3.56474E-03 8.38684E-04 0.040375 5 7 50.0 90.0 90.0 6.64410E-02 1.25844E-03 2.72183E-03 3.98027E-03 8.28683E-04 0.040966 4 1 60.0 0.0 180.0 5.57276E-02 1.26815E-03 4.27728E-03 5.54543E-03 8.35078E-04 0.076753 4 4 60.0 45.0 135.0 5.81373E-02 1.25400E-03 4.40997E-03 5.66397E-03 8.25758E-04 0.075854 4 7 60.0 90.0 90.0 6.57768E-02 1.25399E-03 4.94310E-03 6.19709E-03 8.25751E-04 0.075150 3 1 70.0 0.0 180.0 6.68333E-02 1.18223E-03 1.06950E-02 1.18773E-02 7.78497E-04 0.160025 3 4 70.0 45.0 135.0 6.85997E-02 1.18196E-03 1.09498E-02 1.21318E-02 7.78319E-04 0.159619 3 7 70.0 90.0 90.0 7.48139E-02 1.18194E-03 1.19115E-02 1.30934E-02 7.78305E-04 0.159215 2 1 80.0 0.0 180.0 9.96646E-02 1.01940E-03 2.54067E-02 2.64261E-02 6.71272E-04 0.254922 2 4 80.0 45.0 135.0 1.00145E-01 1.01692E-03 2.63698E-02 2.73867E-02 6.69639E-04 0.263315 2 7 80.0 90.0 90.0 1.04125E-01 1.01710E-03 2.82317E-02 2.92488E-02 6.69761E-04 0.271133 1 1 87.5 0.0 180.0 1.50247E-01 8.29655E-04 4.42702E-02 4.50999E-02 5.46326E-04 0.294649 1 4 87.5 45.0 135.0 1.48448E-01 7.88127E-04 4.72460E-02 4.80342E-02 5.18981E-04 0.318267 1 7 87.5 90.0 90.0 1.48172E-01 8.72244E-04 4.98001E-02 5.06723E-02 5.74371E-04 0.336097 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 5.917E-02 3.824E-01 9.767E-02 9.942E-02 1.065E-01 3.897E-02 8.137E-01 1.225E-03 8.066E-04 1 0.00 0.00 2.274E-03 6.252E+00 5.270E-03 6.000E-03 6.933E-03 1.537E-03 3.974E+00 3 0.75 1.00 1.686E-03 4.351E+00 4.516E-03 5.300E-03 6.593E-03 1.558E-03 4.046E+00 5 1.49 2.00 1.246E-03 3.020E+00 3.493E-03 4.122E-03 5.164E-03 1.580E-03 4.088E+00 7 2.24 3.00 9.192E-04 2.092E+00 2.642E-03 3.126E-03 3.929E-03 1.606E-03 4.116E+00 9 2.98 4.00 6.784E-04 1.446E+00 1.979E-03 2.344E-03 2.950E-03 1.636E-03 4.133E+00 11 3.73 5.00 5.012E-04 9.991E-01 1.474E-03 1.746E-03 2.197E-03 1.671E-03 4.143E+00 13 4.48 6.00 3.709E-04 6.896E-01 1.095E-03 1.296E-03 1.627E-03 1.714E-03 4.146E+00 15 5.22 7.00 2.752E-04 4.757E-01 8.122E-04 9.589E-04 1.201E-03 1.765E-03 4.142E+00 17 5.97 8.00 2.049E-04 3.281E-01 6.020E-04 7.087E-04 8.841E-04 1.826E-03 4.132E+00 19 6.71 9.00 1.531E-04 2.263E-01 4.462E-04 5.234E-04 6.497E-04 1.900E-03 4.116E+00 21 7.46 10.00 1.151E-04 1.561E-01 3.310E-04 3.865E-04 4.771E-04 1.989E-03 4.094E+00 Waveband 26 of 40 completed in 3.4 sec. * * * * * Output for wavelength band 27 (610.0 to 620.0 nm; nominal wavelength = 615.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 36.8 m at 615.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 610.0 nm to 620.0 nm: Ed(diffuse) = 3.493E-01 Ed(direct) = 1.132E+00 Ed(total) = 1.482E+00 Absorption Coefficients of Individual Components at 615.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2678 0.0268 0.0018 0.2964 3 0.747 1.000 0.2678 0.0268 0.0018 0.2964 5 1.494 2.000 0.2678 0.0268 0.0018 0.2964 7 2.242 3.000 0.2678 0.0268 0.0018 0.2964 9 2.989 4.000 0.2678 0.0268 0.0018 0.2964 11 3.736 5.000 0.2678 0.0268 0.0018 0.2964 13 4.483 6.000 0.2678 0.0268 0.0018 0.2964 15 5.231 7.000 0.2678 0.0268 0.0018 0.2964 17 5.978 8.000 0.2678 0.0268 0.0018 0.2964 19 6.725 9.000 0.2678 0.0268 0.0018 0.2964 21 7.472 10.000 0.2678 0.0268 0.0018 0.2964 Scattering Coefficients of Individual Components at 615.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0012 0.4497 0.0000 0.4508 3 0.747 1.000 0.0012 0.4497 0.0000 0.4508 5 1.494 2.000 0.0012 0.4497 0.0000 0.4508 7 2.242 3.000 0.0012 0.4497 0.0000 0.4508 9 2.989 4.000 0.0012 0.4497 0.0000 0.4508 11 3.736 5.000 0.0012 0.4497 0.0000 0.4508 13 4.483 6.000 0.0012 0.4497 0.0000 0.4508 15 5.231 7.000 0.0012 0.4497 0.0000 0.4508 17 5.978 8.000 0.0012 0.4497 0.0000 0.4508 19 6.725 9.000 0.0012 0.4497 0.0000 0.4508 21 7.472 10.000 0.0012 0.4497 0.0000 0.4508 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 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00059 0.00450 0.00000 0.00509 3 0.747 1.000 0.00059 0.00450 0.00000 0.00509 5 1.494 2.000 0.00059 0.00450 0.00000 0.00509 7 2.242 3.000 0.00059 0.00450 0.00000 0.00509 9 2.989 4.000 0.00059 0.00450 0.00000 0.00509 11 3.736 5.000 0.00059 0.00450 0.00000 0.00509 13 4.483 6.000 0.00059 0.00450 0.00000 0.00509 15 5.231 7.000 0.00059 0.00450 0.00000 0.00509 17 5.978 8.000 0.00059 0.00450 0.00000 0.00509 19 6.725 9.000 0.00059 0.00450 0.00000 0.00509 21 7.472 10.000 0.00059 0.00450 0.00000 0.00509 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 0.2964 0.4508 0.7472 0.6034 0.00509 0.01128 3 0.747 1.000 0.2964 0.4508 0.7472 0.6034 0.00509 0.01128 5 1.494 2.000 0.2964 0.4508 0.7472 0.6034 0.00509 0.01128 7 2.242 3.000 0.2964 0.4508 0.7472 0.6034 0.00509 0.01128 9 2.989 4.000 0.2964 0.4508 0.7472 0.6034 0.00509 0.01128 11 3.736 5.000 0.2964 0.4508 0.7472 0.6034 0.00509 0.01128 13 4.483 6.000 0.2964 0.4508 0.7472 0.6034 0.00509 0.01128 15 5.231 7.000 0.2964 0.4508 0.7472 0.6034 0.00509 0.01128 17 5.978 8.000 0.2964 0.4508 0.7472 0.6034 0.00509 0.01128 19 6.725 9.000 0.2964 0.4508 0.7472 0.6034 0.00509 0.01128 21 7.472 10.000 0.2964 0.4508 0.7472 0.6034 0.00509 0.01128 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.6003E-01 8 20.00 5.7789E-01 7 30.00 3.1669E-01 6 40.00 1.5189E-01 5 50.00 6.8674E-02 4 60.00 3.1306E-02 3 70.00 1.5121E-02 2 80.00 7.9796E-03 1 87.50 5.2274E-03 1 92.50 4.0040E-03 2 100.00 2.8953E-03 3 110.00 2.0355E-03 4 120.00 1.5541E-03 5 130.00 1.2815E-03 6 140.00 1.1258E-03 7 150.00 1.0374E-03 8 160.00 9.8897E-04 9 170.00 9.6500E-04 10 180.00 9.5678E-04 Asymptotic AOP values are MUu(inf) = 0.3713 MUd(inf) = 0.8475 MU(inf) = 0.8296 R(inf) = 0.0065 Lu(inf)/Ed(inf) = 0.001414 (1/sr) k(inf) = 0.3573 (1/m) absorp(check) = 0.2964 = 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 1.1377E-01 1.8010E+00 1.9148E+00 4.6661E-02 1.4815E+00 0.4101 0.8226 0.7494 3.1496E-02 1 0.00 0.00 2.0379E-02 1.5262E+00 1.5466E+00 8.3187E-03 1.4432E+00 0.4082 0.9456 0.9277 5.7642E-03 3 0.75 1.00 1.5522E-02 1.1233E+00 1.1388E+00 6.2194E-03 1.0461E+00 0.4007 0.9313 0.9131 5.9453E-03 5 1.49 2.00 1.1570E-02 8.1914E-01 8.3071E-01 4.5993E-03 7.5522E-01 0.3975 0.9220 0.9036 6.0900E-03 7 2.24 3.00 8.5538E-03 5.9429E-01 6.0284E-01 3.3856E-03 5.4362E-01 0.3958 0.9147 0.8961 6.2279E-03 9 2.99 4.00 6.2978E-03 4.2959E-01 4.3589E-01 2.4868E-03 3.9037E-01 0.3949 0.9087 0.8899 6.3703E-03 11 3.74 5.00 4.6268E-03 3.0964E-01 3.1427E-01 1.8252E-03 2.7975E-01 0.3945 0.9035 0.8843 6.5244E-03 13 4.48 6.00 3.3963E-03 2.2265E-01 2.2605E-01 1.3400E-03 2.0011E-01 0.3946 0.8988 0.8793 6.6964E-03 15 5.23 7.00 2.4935E-03 1.5977E-01 1.6227E-01 9.8509E-04 1.4292E-01 0.3951 0.8945 0.8747 6.8926E-03 17 5.98 8.00 1.8325E-03 1.1443E-01 1.1626E-01 7.2565E-04 1.0192E-01 0.3960 0.8906 0.8704 7.1201E-03 19 6.73 9.00 1.3494E-03 8.1833E-02 8.3183E-02 5.3620E-04 7.2588E-02 0.3974 0.8870 0.8662 7.3869E-03 21 7.47 10.00 9.9649E-04 5.8439E-02 5.9435E-02 3.9776E-04 5.1640E-02 0.3992 0.8837 0.8622 7.7025E-03 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 0.24516 0.29785 0.29715 0.27946 0.31899 0.31922 0.30565 1.000 1.010 1.005 0.28718 0.31235 0.31200 0.29811 0.32408 0.32424 0.31062 2.000 2.010 2.005 0.29898 0.31871 0.31843 0.30466 0.32743 0.32757 0.31242 3.000 3.010 3.005 0.30456 0.32290 0.32264 0.30778 0.33004 0.33018 0.31275 4.000 4.010 4.005 0.30752 0.32608 0.32581 0.30914 0.33224 0.33239 0.31205 5.000 5.010 5.005 0.30896 0.32868 0.32839 0.30932 0.33414 0.33431 0.31045 6.000 6.010 6.005 0.30926 0.33089 0.33056 0.30850 0.33583 0.33602 0.30799 7.000 7.010 7.005 0.30862 0.33281 0.33244 0.30680 0.33735 0.33756 0.30468 8.000 8.010 8.005 0.30711 0.33452 0.33409 0.30421 0.33872 0.33896 0.30049 9.000 9.010 9.005 0.30475 0.33603 0.33552 0.30076 0.33995 0.34024 0.29543 10.000 10.010 10.005 0.30153 0.33737 0.33677 0.29642 0.34106 0.34141 0.28951 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 615.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 3.69916E-01 1.12668E-03 5.66247E-02 5.77514E-02 7.60500E-04 0.153075 9 1 10.0 0.0 180.0 1.62181E-01 1.14614E-03 2.44743E-02 2.56204E-02 7.73636E-04 0.150907 9 4 10.0 45.0 135.0 1.81285E-01 1.13997E-03 2.82152E-02 2.93551E-02 7.69472E-04 0.155640 9 7 10.0 90.0 90.0 2.53118E-01 1.13367E-03 4.27872E-02 4.39209E-02 7.65221E-04 0.169041 8 1 20.0 0.0 180.0 9.69547E-02 1.15372E-03 7.73367E-03 8.88740E-03 7.78756E-04 0.079766 8 4 20.0 45.0 135.0 1.08190E-01 1.14036E-03 1.00453E-02 1.11857E-02 7.69738E-04 0.092848 8 7 20.0 90.0 90.0 1.52043E-01 1.13291E-03 2.05836E-02 2.17165E-02 7.64709E-04 0.135380 7 1 30.0 0.0 180.0 6.83136E-02 1.16569E-03 2.44786E-03 3.61355E-03 7.86830E-04 0.035833 7 4 30.0 45.0 135.0 7.46021E-02 1.16175E-03 3.14787E-03 4.30962E-03 7.84172E-04 0.042195 7 7 30.0 90.0 90.0 9.80679E-02 1.14662E-03 6.75575E-03 7.90238E-03 7.73962E-04 0.068889 6 1 40.0 0.0 180.0 5.61175E-02 1.16967E-03 1.64839E-03 2.81806E-03 7.89519E-04 0.029374 6 4 40.0 45.0 135.0 6.00840E-02 1.16399E-03 1.81625E-03 2.98023E-03 7.85685E-04 0.030228 6 7 40.0 90.0 90.0 7.37581E-02 1.14873E-03 2.67378E-03 3.82250E-03 7.75382E-04 0.036251 5 1 50.0 0.0 180.0 5.19774E-02 1.18306E-03 2.10161E-03 3.28466E-03 7.98555E-04 0.040433 5 4 50.0 45.0 135.0 5.48973E-02 1.17116E-03 2.21648E-03 3.38764E-03 7.90525E-04 0.040375 5 7 50.0 90.0 90.0 6.42768E-02 1.15706E-03 2.63341E-03 3.79046E-03 7.81004E-04 0.040970 4 1 60.0 0.0 180.0 5.39124E-02 1.16615E-03 4.13796E-03 5.30411E-03 7.87144E-04 0.076753 4 4 60.0 45.0 135.0 5.62436E-02 1.15307E-03 4.26632E-03 5.41939E-03 7.78314E-04 0.075854 4 7 60.0 90.0 90.0 6.36343E-02 1.15296E-03 4.78209E-03 5.93505E-03 7.78241E-04 0.075150 3 1 70.0 0.0 180.0 6.46563E-02 1.08716E-03 1.03467E-02 1.14338E-02 7.33825E-04 0.160025 3 4 70.0 45.0 135.0 6.63652E-02 1.08687E-03 1.05932E-02 1.16800E-02 7.33631E-04 0.159619 3 7 70.0 90.0 90.0 7.23770E-02 1.08683E-03 1.15235E-02 1.26103E-02 7.33605E-04 0.159215 2 1 80.0 0.0 180.0 9.64183E-02 9.37482E-04 2.45792E-02 2.55167E-02 6.32794E-04 0.254922 2 4 80.0 45.0 135.0 9.68835E-02 9.35191E-04 2.55109E-02 2.64461E-02 6.31247E-04 0.263315 2 7 80.0 90.0 90.0 1.00733E-01 9.35413E-04 2.73121E-02 2.82475E-02 6.31397E-04 0.271133 1 1 87.5 0.0 180.0 1.45353E-01 7.63097E-04 4.28282E-02 4.35913E-02 5.15085E-04 0.294649 1 4 87.5 45.0 135.0 1.43613E-01 7.24913E-04 4.57071E-02 4.64320E-02 4.89312E-04 0.318267 1 7 87.5 90.0 90.0 1.43346E-01 8.02402E-04 4.81780E-02 4.89804E-02 5.41616E-04 0.336097 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 5.775E-02 3.699E-01 9.447E-02 9.616E-02 1.030E-01 3.898E-02 8.080E-01 1.127E-03 7.605E-04 1 0.00 0.00 2.091E-03 6.108E+00 4.880E-03 5.566E-03 6.440E-03 1.449E-03 3.978E+00 3 0.75 1.00 1.536E-03 4.220E+00 4.145E-03 4.872E-03 6.072E-03 1.468E-03 4.049E+00 5 1.49 2.00 1.125E-03 2.907E+00 3.172E-03 3.748E-03 4.703E-03 1.489E-03 4.089E+00 7 2.24 3.00 8.228E-04 1.998E+00 2.374E-03 2.813E-03 3.541E-03 1.513E-03 4.115E+00 9 2.99 4.00 6.020E-04 1.371E+00 1.760E-03 2.088E-03 2.632E-03 1.542E-03 4.131E+00 11 3.74 5.00 4.409E-04 9.403E-01 1.299E-03 1.540E-03 1.941E-03 1.576E-03 4.139E+00 13 4.48 6.00 3.236E-04 6.441E-01 9.559E-04 1.132E-03 1.424E-03 1.617E-03 4.141E+00 15 5.23 7.00 2.382E-04 4.410E-01 7.025E-04 8.303E-04 1.041E-03 1.667E-03 4.135E+00 17 5.98 8.00 1.760E-04 3.019E-01 5.160E-04 6.081E-04 7.596E-04 1.727E-03 4.123E+00 19 6.73 9.00 1.306E-04 2.067E-01 3.792E-04 4.452E-04 5.533E-04 1.800E-03 4.105E+00 21 7.47 10.00 9.749E-05 1.415E-01 2.790E-04 3.260E-04 4.028E-04 1.888E-03 4.080E+00 Waveband 27 of 40 completed in 3.4 sec. * * * * * Output for wavelength band 28 (620.0 to 630.0 nm; nominal wavelength = 625.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 36.4 m at 625.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 620.0 nm to 630.0 nm: Ed(diffuse) = 3.429E-01 Ed(direct) = 1.123E+00 Ed(total) = 1.466E+00 Absorption Coefficients of Individual Components at 625.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2834 0.0299 0.0015 0.3148 3 0.758 1.000 0.2834 0.0299 0.0015 0.3148 5 1.517 2.000 0.2834 0.0299 0.0015 0.3148 7 2.275 3.000 0.2834 0.0299 0.0015 0.3148 9 3.034 4.000 0.2834 0.0299 0.0015 0.3148 11 3.792 5.000 0.2834 0.0299 0.0015 0.3148 13 4.550 6.000 0.2834 0.0299 0.0015 0.3148 15 5.309 7.000 0.2834 0.0299 0.0015 0.3148 17 6.067 8.000 0.2834 0.0299 0.0015 0.3148 19 6.826 9.000 0.2834 0.0299 0.0015 0.3148 21 7.584 10.000 0.2834 0.0299 0.0015 0.3148 Scattering Coefficients of Individual Components at 625.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0011 0.4425 0.0000 0.4436 3 0.758 1.000 0.0011 0.4425 0.0000 0.4436 5 1.517 2.000 0.0011 0.4425 0.0000 0.4436 7 2.275 3.000 0.0011 0.4425 0.0000 0.4436 9 3.034 4.000 0.0011 0.4425 0.0000 0.4436 11 3.792 5.000 0.0011 0.4425 0.0000 0.4436 13 4.550 6.000 0.0011 0.4425 0.0000 0.4436 15 5.309 7.000 0.0011 0.4425 0.0000 0.4436 17 6.067 8.000 0.0011 0.4425 0.0000 0.4436 19 6.826 9.000 0.0011 0.4425 0.0000 0.4436 21 7.584 10.000 0.0011 0.4425 0.0000 0.4436 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 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00055 0.00442 0.00000 0.00498 3 0.758 1.000 0.00055 0.00442 0.00000 0.00498 5 1.517 2.000 0.00055 0.00442 0.00000 0.00498 7 2.275 3.000 0.00055 0.00442 0.00000 0.00498 9 3.034 4.000 0.00055 0.00442 0.00000 0.00498 11 3.792 5.000 0.00055 0.00442 0.00000 0.00498 13 4.550 6.000 0.00055 0.00442 0.00000 0.00498 15 5.309 7.000 0.00055 0.00442 0.00000 0.00498 17 6.067 8.000 0.00055 0.00442 0.00000 0.00498 19 6.826 9.000 0.00055 0.00442 0.00000 0.00498 21 7.584 10.000 0.00055 0.00442 0.00000 0.00498 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 0.3148 0.4436 0.7584 0.5849 0.00498 0.01122 3 0.758 1.000 0.3148 0.4436 0.7584 0.5849 0.00498 0.01122 5 1.517 2.000 0.3148 0.4436 0.7584 0.5849 0.00498 0.01122 7 2.275 3.000 0.3148 0.4436 0.7584 0.5849 0.00498 0.01122 9 3.034 4.000 0.3148 0.4436 0.7584 0.5849 0.00498 0.01122 11 3.792 5.000 0.3148 0.4436 0.7584 0.5849 0.00498 0.01122 13 4.550 6.000 0.3148 0.4436 0.7584 0.5849 0.00498 0.01122 15 5.309 7.000 0.3148 0.4436 0.7584 0.5849 0.00498 0.01122 17 6.067 8.000 0.3148 0.4436 0.7584 0.5849 0.00498 0.01122 19 6.826 9.000 0.3148 0.4436 0.7584 0.5849 0.00498 0.01122 21 7.584 10.000 0.3148 0.4436 0.7584 0.5849 0.00498 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 8.5338E-01 8 20.00 5.6227E-01 7 30.00 3.0000E-01 6 40.00 1.3993E-01 5 50.00 6.1763E-02 4 60.00 2.7677E-02 3 70.00 1.3234E-02 2 80.00 6.9492E-03 1 87.50 4.5455E-03 1 92.50 3.4832E-03 2 100.00 2.5193E-03 3 110.00 1.7723E-03 4 120.00 1.3552E-03 5 130.00 1.1196E-03 6 140.00 9.8547E-04 7 150.00 9.0977E-04 8 160.00 8.6845E-04 9 170.00 8.4813E-04 10 180.00 8.4117E-04 Asymptotic AOP values are MUu(inf) = 0.3720 MUd(inf) = 0.8532 MU(inf) = 0.8367 R(inf) = 0.0060 Lu(inf)/Ed(inf) = 0.001295 (1/sr) k(inf) = 0.3763 (1/m) absorp(check) = 0.3149 = 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 1.1142E-01 1.7797E+00 1.8911E+00 4.5776E-02 1.4658E+00 0.4108 0.8236 0.7509 3.1229E-02 1 0.00 0.00 1.8503E-02 1.5085E+00 1.5270E+00 7.5340E-03 1.4276E+00 0.4072 0.9464 0.9300 5.2774E-03 3 0.76 1.00 1.3810E-02 1.0885E+00 1.1023E+00 5.5231E-03 1.0152E+00 0.3999 0.9326 0.9159 5.4406E-03 5 1.52 2.00 1.0089E-02 7.7822E-01 7.8831E-01 4.0058E-03 7.1894E-01 0.3970 0.9238 0.9069 5.5718E-03 7 2.28 3.00 7.3145E-03 5.5361E-01 5.6093E-01 2.8933E-03 5.0767E-01 0.3956 0.9170 0.8999 5.6992E-03 9 3.03 4.00 5.2839E-03 3.9244E-01 3.9772E-01 2.0864E-03 3.5763E-01 0.3949 0.9113 0.8940 5.8339E-03 11 3.79 5.00 3.8120E-03 2.7741E-01 2.8122E-01 1.5045E-03 2.5143E-01 0.3947 0.9063 0.8887 5.9839E-03 13 4.55 6.00 2.7481E-03 1.9564E-01 1.9839E-01 1.0858E-03 1.7645E-01 0.3951 0.9019 0.8839 6.1534E-03 15 5.31 7.00 1.9837E-03 1.3769E-01 1.3968E-01 7.8544E-04 1.2363E-01 0.3959 0.8979 0.8795 6.3530E-03 17 6.07 8.00 1.4347E-03 9.6728E-02 9.8163E-02 5.6999E-04 8.6491E-02 0.3973 0.8942 0.8753 6.5902E-03 19 6.83 9.00 1.0410E-03 6.7853E-02 6.8894E-02 4.1551E-04 6.0438E-02 0.3991 0.8907 0.8712 6.8750E-03 21 7.58 10.00 7.5852E-04 4.7533E-02 4.8291E-02 3.0456E-04 4.2184E-02 0.4015 0.8875 0.8672 7.2199E-03 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 0.26454 0.31751 0.31687 0.29888 0.33812 0.33833 0.32457 1.000 1.010 1.005 0.30751 0.33215 0.33185 0.31774 0.34328 0.34342 0.32937 2.000 2.010 2.005 0.31882 0.33840 0.33815 0.32387 0.34662 0.34675 0.33076 3.000 3.010 3.005 0.32387 0.34249 0.34225 0.32647 0.34922 0.34935 0.33055 4.000 4.010 4.005 0.32623 0.34559 0.34534 0.32721 0.35139 0.35153 0.32916 5.000 5.010 5.005 0.32540 0.34813 0.34782 0.32638 0.35328 0.35344 0.32667 6.000 6.010 6.005 0.32663 0.35028 0.34995 0.32507 0.35496 0.35514 0.32329 7.000 7.010 7.005 0.32510 0.35216 0.35177 0.32232 0.35646 0.35668 0.31873 8.000 8.010 8.005 0.32251 0.35381 0.35336 0.31849 0.35781 0.35807 0.31307 9.000 9.010 9.005 0.31885 0.35527 0.35472 0.31355 0.35903 0.35934 0.30629 10.000 10.010 10.005 0.31411 0.35656 0.35589 0.30750 0.36011 0.36050 0.29844 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 625.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 3.63114E-01 1.02015E-03 5.61105E-02 5.71306E-02 6.95962E-04 0.154526 9 1 10.0 0.0 180.0 1.59199E-01 1.03784E-03 2.42379E-02 2.52757E-02 7.08031E-04 0.152249 9 4 10.0 45.0 135.0 1.77952E-01 1.03221E-03 2.79457E-02 2.89779E-02 7.04185E-04 0.157040 9 7 10.0 90.0 90.0 2.48459E-01 1.02639E-03 4.23913E-02 4.34177E-02 7.00214E-04 0.170617 8 1 20.0 0.0 180.0 9.51721E-02 1.04464E-03 7.64563E-03 8.69027E-03 7.12667E-04 0.080335 8 4 20.0 45.0 135.0 1.06201E-01 1.03246E-03 9.93573E-03 1.09682E-02 7.04358E-04 0.093556 8 7 20.0 90.0 90.0 1.49247E-01 1.02552E-03 2.03797E-02 2.14052E-02 6.99624E-04 0.136550 7 1 30.0 0.0 180.0 6.70576E-02 1.05534E-03 2.40969E-03 3.46503E-03 7.19968E-04 0.035935 7 4 30.0 45.0 135.0 7.32305E-02 1.05166E-03 3.10214E-03 4.15381E-03 7.17458E-04 0.042361 7 7 30.0 90.0 90.0 9.62648E-02 1.03771E-03 6.67408E-03 7.71179E-03 7.07939E-04 0.069330 6 1 40.0 0.0 180.0 5.50857E-02 1.05869E-03 1.61843E-03 2.67712E-03 7.22253E-04 0.029380 6 4 40.0 45.0 135.0 5.89793E-02 1.05341E-03 1.78364E-03 2.83704E-03 7.18648E-04 0.030242 6 7 40.0 90.0 90.0 7.24020E-02 1.03927E-03 2.62947E-03 3.66874E-03 7.09005E-04 0.036318 5 1 50.0 0.0 180.0 5.10217E-02 1.07057E-03 2.06301E-03 3.13358E-03 7.30356E-04 0.040434 5 4 50.0 45.0 135.0 5.38879E-02 1.05965E-03 2.17573E-03 3.23538E-03 7.22906E-04 0.040375 5 7 50.0 90.0 90.0 6.30950E-02 1.04656E-03 2.58521E-03 3.63177E-03 7.13974E-04 0.040973 4 1 60.0 0.0 180.0 5.29211E-02 1.05505E-03 4.06188E-03 5.11693E-03 7.19769E-04 0.076753 4 4 60.0 45.0 135.0 5.52095E-02 1.04306E-03 4.18788E-03 5.23094E-03 7.11590E-04 0.075854 4 7 60.0 90.0 90.0 6.24643E-02 1.04265E-03 4.69417E-03 5.73681E-03 7.11307E-04 0.075150 3 1 70.0 0.0 180.0 6.34676E-02 9.83435E-04 1.01564E-02 1.11399E-02 6.70912E-04 0.160025 3 4 70.0 45.0 135.0 6.51450E-02 9.83043E-04 1.03984E-02 1.13814E-02 6.70645E-04 0.159619 3 7 70.0 90.0 90.0 7.10463E-02 9.82764E-04 1.13116E-02 1.22944E-02 6.70454E-04 0.159215 2 1 80.0 0.0 180.0 9.46456E-02 8.47972E-04 2.41273E-02 2.49752E-02 5.78498E-04 0.254922 2 4 80.0 45.0 135.0 9.51022E-02 8.45803E-04 2.50419E-02 2.58877E-02 5.77018E-04 0.263315 2 7 80.0 90.0 90.0 9.88813E-02 8.45851E-04 2.68099E-02 2.76558E-02 5.77051E-04 0.271133 1 1 87.5 0.0 180.0 1.42681E-01 6.90260E-04 4.20408E-02 4.27310E-02 4.70904E-04 0.294649 1 4 87.5 45.0 135.0 1.40972E-01 6.55668E-04 4.48667E-02 4.55224E-02 4.47305E-04 0.318267 1 7 87.5 90.0 90.0 1.40710E-01 7.25695E-04 4.72922E-02 4.80179E-02 4.95079E-04 0.336097 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 5.713E-02 3.631E-01 9.271E-02 9.436E-02 1.011E-01 3.898E-02 8.012E-01 1.020E-03 6.960E-04 1 0.00 0.00 1.894E-03 6.052E+00 4.457E-03 5.093E-03 5.901E-03 1.326E-03 3.979E+00 3 0.76 1.00 1.365E-03 4.109E+00 3.713E-03 4.373E-03 5.461E-03 1.344E-03 4.047E+00 5 1.52 2.00 9.810E-04 2.782E+00 2.779E-03 3.289E-03 4.135E-03 1.365E-03 4.083E+00 7 2.28 3.00 7.047E-04 1.880E+00 2.036E-03 2.416E-03 3.047E-03 1.388E-03 4.105E+00 9 3.03 4.00 5.067E-04 1.268E+00 1.479E-03 1.757E-03 2.218E-03 1.417E-03 4.118E+00 11 3.79 5.00 3.650E-04 8.546E-01 1.071E-03 1.271E-03 1.604E-03 1.452E-03 4.122E+00 13 4.55 6.00 2.636E-04 5.754E-01 7.728E-04 9.160E-04 1.153E-03 1.494E-03 4.118E+00 15 5.31 7.00 1.912E-04 3.872E-01 5.575E-04 6.592E-04 8.274E-04 1.547E-03 4.107E+00 17 6.07 8.00 1.394E-04 2.605E-01 4.023E-04 4.741E-04 5.924E-04 1.612E-03 4.089E+00 19 6.83 9.00 1.023E-04 1.752E-01 2.907E-04 3.411E-04 4.238E-04 1.692E-03 4.063E+00 21 7.58 10.00 7.557E-05 1.179E-01 2.105E-04 2.457E-04 3.033E-04 1.791E-03 4.030E+00 Waveband 28 of 40 completed in 3.5 sec. * * * * * Output for wavelength band 29 (630.0 to 640.0 nm; nominal wavelength = 635.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 35.9 m at 635.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 630.0 nm to 640.0 nm: Ed(diffuse) = 3.359E-01 Ed(direct) = 1.111E+00 Ed(total) = 1.447E+00 Absorption Coefficients of Individual Components at 635.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3012 0.0340 0.0013 0.3366 3 0.773 1.000 0.3012 0.0340 0.0013 0.3366 5 1.546 2.000 0.3012 0.0340 0.0013 0.3366 7 2.319 3.000 0.3012 0.0340 0.0013 0.3366 9 3.092 4.000 0.3012 0.0340 0.0013 0.3366 11 3.865 5.000 0.3012 0.0340 0.0013 0.3366 13 4.639 6.000 0.3012 0.0340 0.0013 0.3366 15 5.412 7.000 0.3012 0.0340 0.0013 0.3366 17 6.185 8.000 0.3012 0.0340 0.0013 0.3366 19 6.958 9.000 0.3012 0.0340 0.0013 0.3366 21 7.731 10.000 0.3012 0.0340 0.0013 0.3366 Scattering Coefficients of Individual Components at 635.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0010 0.4355 0.0000 0.4365 3 0.773 1.000 0.0010 0.4355 0.0000 0.4365 5 1.546 2.000 0.0010 0.4355 0.0000 0.4365 7 2.319 3.000 0.0010 0.4355 0.0000 0.4365 9 3.092 4.000 0.0010 0.4355 0.0000 0.4365 11 3.865 5.000 0.0010 0.4355 0.0000 0.4365 13 4.639 6.000 0.0010 0.4355 0.0000 0.4365 15 5.412 7.000 0.0010 0.4355 0.0000 0.4365 17 6.185 8.000 0.0010 0.4355 0.0000 0.4365 19 6.958 9.000 0.0010 0.4355 0.0000 0.4365 21 7.731 10.000 0.0010 0.4355 0.0000 0.4365 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 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00051 0.00435 0.00000 0.00487 3 0.773 1.000 0.00051 0.00435 0.00000 0.00487 5 1.546 2.000 0.00051 0.00435 0.00000 0.00487 7 2.319 3.000 0.00051 0.00435 0.00000 0.00487 9 3.092 4.000 0.00051 0.00435 0.00000 0.00487 11 3.865 5.000 0.00051 0.00435 0.00000 0.00487 13 4.639 6.000 0.00051 0.00435 0.00000 0.00487 15 5.412 7.000 0.00051 0.00435 0.00000 0.00487 17 6.185 8.000 0.00051 0.00435 0.00000 0.00487 19 6.958 9.000 0.00051 0.00435 0.00000 0.00487 21 7.731 10.000 0.00051 0.00435 0.00000 0.00487 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 0.3366 0.4365 0.7731 0.5646 0.00487 0.01115 3 0.773 1.000 0.3366 0.4365 0.7731 0.5646 0.00487 0.01115 5 1.546 2.000 0.3366 0.4365 0.7731 0.5646 0.00487 0.01115 7 2.319 3.000 0.3366 0.4365 0.7731 0.5646 0.00487 0.01115 9 3.092 4.000 0.3366 0.4365 0.7731 0.5646 0.00487 0.01115 11 3.865 5.000 0.3366 0.4365 0.7731 0.5646 0.00487 0.01115 13 4.639 6.000 0.3366 0.4365 0.7731 0.5646 0.00487 0.01115 15 5.412 7.000 0.3366 0.4365 0.7731 0.5646 0.00487 0.01115 17 6.185 8.000 0.3366 0.4365 0.7731 0.5646 0.00487 0.01115 19 6.958 9.000 0.3366 0.4365 0.7731 0.5646 0.00487 0.01115 21 7.731 10.000 0.3366 0.4365 0.7731 0.5646 0.00487 0.01115 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.4584E-01 8 20.00 5.4501E-01 7 30.00 2.8219E-01 6 40.00 1.2763E-01 5 50.00 5.4898E-02 4 60.00 2.4167E-02 3 70.00 1.1442E-02 2 80.00 5.9808E-03 1 87.50 3.9075E-03 1 92.50 2.9964E-03 2 100.00 2.1682E-03 3 110.00 1.5268E-03 4 120.00 1.1695E-03 5 130.00 9.6827E-04 6 140.00 8.5415E-04 7 150.00 7.9006E-04 8 160.00 7.5530E-04 9 170.00 7.3830E-04 10 180.00 7.3250E-04 Asymptotic AOP values are MUu(inf) = 0.3729 MUd(inf) = 0.8591 MU(inf) = 0.8441 R(inf) = 0.0054 Lu(inf)/Ed(inf) = 0.001180 (1/sr) k(inf) = 0.3988 (1/m) absorp(check) = 0.3366 = 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 1.0892E-01 1.7548E+00 1.8637E+00 4.4820E-02 1.4471E+00 0.4115 0.8247 0.7524 3.0973E-02 1 0.00 0.00 1.6680E-02 1.4877E+00 1.5044E+00 6.7761E-03 1.4090E+00 0.4063 0.9471 0.9321 4.8091E-03 3 0.77 1.00 1.2159E-02 1.0488E+00 1.0609E+00 4.8558E-03 9.7956E-01 0.3993 0.9340 0.9187 4.9571E-03 5 1.55 2.00 8.6799E-03 7.3262E-01 7.4130E-01 3.4442E-03 6.7821E-01 0.3968 0.9257 0.9102 5.0784E-03 7 2.32 3.00 6.1535E-03 5.0928E-01 5.1543E-01 2.4347E-03 4.6820E-01 0.3957 0.9193 0.9036 5.2001E-03 9 3.09 4.00 4.3506E-03 3.5280E-01 3.5716E-01 1.7199E-03 3.2246E-01 0.3953 0.9140 0.8980 5.3337E-03 11 3.87 5.00 3.0743E-03 2.4375E-01 2.4682E-01 1.2163E-03 2.2164E-01 0.3956 0.9093 0.8931 5.4875E-03 13 4.64 6.00 2.1748E-03 1.6802E-01 1.7019E-01 8.6232E-04 1.5208E-01 0.3965 0.9051 0.8885 5.6702E-03 15 5.41 7.00 1.5424E-03 1.1559E-01 1.1714E-01 6.1384E-04 1.0418E-01 0.3980 0.9013 0.8842 5.8918E-03 17 6.18 8.00 1.0982E-03 7.9391E-02 8.0489E-02 4.3936E-04 7.1273E-02 0.4001 0.8978 0.8800 6.1644E-03 19 6.96 9.00 7.8614E-04 5.4446E-02 5.5232E-02 3.1669E-04 4.8698E-02 0.4028 0.8944 0.8760 6.5031E-03 21 7.73 10.00 5.6667E-04 3.7290E-02 3.7857E-02 2.3023E-04 3.3236E-02 0.4063 0.8913 0.8719 6.9271E-03 K-functions (units of 1/meter) at 635.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.28731 0.34064 0.34005 0.32146 0.36068 0.36087 0.34640 1.000 1.010 1.005 0.33102 0.35543 0.35515 0.34033 0.36591 0.36604 0.35078 2.000 2.010 2.005 0.34160 0.36155 0.36132 0.34580 0.36924 0.36936 0.35144 3.000 3.010 3.005 0.34582 0.36552 0.36529 0.34756 0.37182 0.37194 0.35025 4.000 4.010 4.005 0.34729 0.36854 0.36828 0.34728 0.37397 0.37411 0.34760 5.000 5.010 5.005 0.34695 0.37099 0.37069 0.34543 0.37584 0.37600 0.34356 6.000 6.010 6.005 0.34511 0.37308 0.37272 0.34213 0.37749 0.37769 0.33807 7.000 7.010 7.005 0.34187 0.37489 0.37446 0.33738 0.37897 0.37922 0.33110 8.000 8.010 8.005 0.33722 0.37648 0.37594 0.33115 0.38029 0.38060 0.32260 9.000 9.010 9.005 0.33105 0.37786 0.37720 0.32336 0.38148 0.38186 0.31260 10.000 10.010 10.005 0.32339 0.37906 0.37823 0.31405 0.38252 0.38300 0.30120 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 635.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 3.55753E-01 9.17837E-04 5.54724E-02 5.63903E-02 6.34277E-04 0.155930 9 1 10.0 0.0 180.0 1.55972E-01 9.33794E-04 2.39489E-02 2.48827E-02 6.45305E-04 0.153547 9 4 10.0 45.0 135.0 1.74345E-01 9.28680E-04 2.76154E-02 2.85441E-02 6.41771E-04 0.158395 9 7 10.0 90.0 90.0 2.43417E-01 9.23340E-04 4.19023E-02 4.28257E-02 6.38080E-04 0.172142 8 1 20.0 0.0 180.0 9.32426E-02 9.39813E-04 7.54196E-03 8.48178E-03 6.49464E-04 0.080885 8 4 20.0 45.0 135.0 1.04048E-01 9.28785E-04 9.80552E-03 1.07343E-02 6.41843E-04 0.094240 8 7 20.0 90.0 90.0 1.46222E-01 9.22374E-04 2.01320E-02 2.10544E-02 6.37412E-04 0.137682 7 1 30.0 0.0 180.0 6.56981E-02 9.49286E-04 2.36732E-03 3.31660E-03 6.56010E-04 0.036033 7 4 30.0 45.0 135.0 7.17458E-02 9.45878E-04 3.05076E-03 3.99664E-03 6.53655E-04 0.042522 7 7 30.0 90.0 90.0 9.43132E-02 9.33098E-04 6.57910E-03 7.51220E-03 6.44823E-04 0.069758 6 1 40.0 0.0 180.0 5.39689E-02 9.52003E-04 1.58595E-03 2.53795E-03 6.57888E-04 0.029386 6 4 40.0 45.0 135.0 5.77836E-02 9.47123E-04 1.74822E-03 2.69535E-03 6.54516E-04 0.030255 6 7 40.0 90.0 90.0 7.09341E-02 9.34128E-04 2.58076E-03 3.51489E-03 6.45535E-04 0.036383 5 1 50.0 0.0 180.0 4.99873E-02 9.62401E-04 2.02123E-03 2.98363E-03 6.65074E-04 0.040435 5 4 50.0 45.0 135.0 5.27954E-02 9.52445E-04 2.13162E-03 3.08406E-03 6.58193E-04 0.040375 5 7 50.0 90.0 90.0 6.18158E-02 9.40371E-04 2.53301E-03 3.47338E-03 6.49850E-04 0.040977 4 1 60.0 0.0 180.0 5.18482E-02 9.48183E-04 3.97953E-03 4.92771E-03 6.55248E-04 0.076753 4 4 60.0 45.0 135.0 5.40902E-02 9.37266E-04 4.10298E-03 5.04024E-03 6.47704E-04 0.075854 4 7 60.0 90.0 90.0 6.11979E-02 9.36591E-04 4.59900E-03 5.53559E-03 6.47238E-04 0.075150 3 1 70.0 0.0 180.0 6.21808E-02 8.83611E-04 9.95051E-03 1.08341E-02 6.10625E-04 0.160025 3 4 70.0 45.0 135.0 6.38243E-02 8.83135E-04 1.01876E-02 1.10707E-02 6.10296E-04 0.159619 3 7 70.0 90.0 90.0 6.96059E-02 8.82636E-04 1.10823E-02 1.19649E-02 6.09952E-04 0.159215 2 1 80.0 0.0 180.0 9.27267E-02 7.61776E-04 2.36381E-02 2.43999E-02 5.26431E-04 0.254922 2 4 80.0 45.0 135.0 9.31741E-02 7.59732E-04 2.45342E-02 2.52939E-02 5.25018E-04 0.263315 2 7 80.0 90.0 90.0 9.68766E-02 7.59609E-04 2.62664E-02 2.70260E-02 5.24933E-04 0.271133 1 1 87.5 0.0 180.0 1.39788E-01 6.20066E-04 4.11884E-02 4.18085E-02 4.28500E-04 0.294649 1 4 87.5 45.0 135.0 1.38114E-01 5.88935E-04 4.39571E-02 4.45460E-02 4.06987E-04 0.318267 1 7 87.5 90.0 90.0 1.37857E-01 6.51747E-04 4.63334E-02 4.69851E-02 4.50394E-04 0.336097 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 5.639E-02 3.558E-01 9.080E-02 9.242E-02 9.898E-02 3.897E-02 7.948E-01 9.178E-04 6.343E-04 1 0.00 0.00 1.704E-03 5.983E+00 4.043E-03 4.629E-03 5.369E-03 1.209E-03 3.977E+00 3 0.77 1.00 1.202E-03 3.979E+00 3.290E-03 3.881E-03 4.857E-03 1.227E-03 4.041E+00 5 1.55 2.00 8.457E-04 2.639E+00 2.399E-03 2.844E-03 3.582E-03 1.247E-03 4.072E+00 7 2.32 3.00 5.954E-04 1.747E+00 1.716E-03 2.038E-03 2.575E-03 1.272E-03 4.089E+00 9 3.09 4.00 4.200E-04 1.155E+00 1.218E-03 1.448E-03 1.830E-03 1.302E-03 4.095E+00 11 3.87 5.00 2.972E-04 7.622E-01 8.617E-04 1.023E-03 1.292E-03 1.341E-03 4.092E+00 13 4.64 6.00 2.113E-04 5.027E-01 6.089E-04 7.218E-04 9.092E-04 1.390E-03 4.080E+00 15 5.41 7.00 1.512E-04 3.314E-01 4.305E-04 5.088E-04 6.383E-04 1.451E-03 4.059E+00 17 6.18 8.00 1.090E-04 2.184E-01 3.049E-04 3.588E-04 4.478E-04 1.530E-03 4.029E+00 19 6.96 9.00 7.936E-05 1.439E-01 2.165E-04 2.535E-04 3.142E-04 1.630E-03 3.991E+00 21 7.73 10.00 5.838E-05 9.480E-02 1.543E-04 1.796E-04 2.209E-04 1.756E-03 3.944E+00 Waveband 29 of 40 completed in 3.6 sec. * * * * * Output for wavelength band 30 (640.0 to 650.0 nm; nominal wavelength = 645.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 35.4 m at 645.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 640.0 nm to 650.0 nm: Ed(diffuse) = 3.232E-01 Ed(direct) = 1.079E+00 Ed(total) = 1.402E+00 Absorption Coefficients of Individual Components at 645.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3250 0.0330 0.0012 0.3592 3 0.789 1.000 0.3250 0.0330 0.0012 0.3592 5 1.578 2.000 0.3250 0.0330 0.0012 0.3592 7 2.367 3.000 0.3250 0.0330 0.0012 0.3592 9 3.155 4.000 0.3250 0.0330 0.0012 0.3592 11 3.944 5.000 0.3250 0.0330 0.0012 0.3592 13 4.733 6.000 0.3250 0.0330 0.0012 0.3592 15 5.522 7.000 0.3250 0.0330 0.0012 0.3592 17 6.311 8.000 0.3250 0.0330 0.0012 0.3592 19 7.100 9.000 0.3250 0.0330 0.0012 0.3592 21 7.889 10.000 0.3250 0.0330 0.0012 0.3592 Scattering Coefficients of Individual Components at 645.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0010 0.4287 0.0000 0.4297 3 0.789 1.000 0.0010 0.4287 0.0000 0.4297 5 1.578 2.000 0.0010 0.4287 0.0000 0.4297 7 2.367 3.000 0.0010 0.4287 0.0000 0.4297 9 3.155 4.000 0.0010 0.4287 0.0000 0.4297 11 3.944 5.000 0.0010 0.4287 0.0000 0.4297 13 4.733 6.000 0.0010 0.4287 0.0000 0.4297 15 5.522 7.000 0.0010 0.4287 0.0000 0.4297 17 6.311 8.000 0.0010 0.4287 0.0000 0.4297 19 7.100 9.000 0.0010 0.4287 0.0000 0.4297 21 7.889 10.000 0.0010 0.4287 0.0000 0.4297 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 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00048 0.00429 0.00000 0.00477 3 0.789 1.000 0.00048 0.00429 0.00000 0.00477 5 1.578 2.000 0.00048 0.00429 0.00000 0.00477 7 2.367 3.000 0.00048 0.00429 0.00000 0.00477 9 3.155 4.000 0.00048 0.00429 0.00000 0.00477 11 3.944 5.000 0.00048 0.00429 0.00000 0.00477 13 4.733 6.000 0.00048 0.00429 0.00000 0.00477 15 5.522 7.000 0.00048 0.00429 0.00000 0.00477 17 6.311 8.000 0.00048 0.00429 0.00000 0.00477 19 7.100 9.000 0.00048 0.00429 0.00000 0.00477 21 7.889 10.000 0.00048 0.00429 0.00000 0.00477 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 0.3592 0.4297 0.7889 0.5447 0.00477 0.01110 3 0.789 1.000 0.3592 0.4297 0.7889 0.5447 0.00477 0.01110 5 1.578 2.000 0.3592 0.4297 0.7889 0.5447 0.00477 0.01110 7 2.367 3.000 0.3592 0.4297 0.7889 0.5447 0.00477 0.01110 9 3.155 4.000 0.3592 0.4297 0.7889 0.5447 0.00477 0.01110 11 3.944 5.000 0.3592 0.4297 0.7889 0.5447 0.00477 0.01110 13 4.733 6.000 0.3592 0.4297 0.7889 0.5447 0.00477 0.01110 15 5.522 7.000 0.3592 0.4297 0.7889 0.5447 0.00477 0.01110 17 6.311 8.000 0.3592 0.4297 0.7889 0.5447 0.00477 0.01110 19 7.100 9.000 0.3592 0.4297 0.7889 0.5447 0.00477 0.01110 21 7.889 10.000 0.3592 0.4297 0.7889 0.5447 0.00477 0.01110 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.3811E-01 8 20.00 5.2777E-01 7 30.00 2.6506E-01 6 40.00 1.1626E-01 5 50.00 4.8769E-02 4 60.00 2.1116E-02 3 70.00 9.9100E-03 2 80.00 5.1613E-03 1 87.50 3.3694E-03 1 92.50 2.5861E-03 2 100.00 1.8725E-03 3 110.00 1.3199E-03 4 120.00 1.0128E-03 5 130.00 8.4029E-04 6 140.00 7.4280E-04 7 150.00 6.8833E-04 8 160.00 6.5898E-04 9 170.00 6.4472E-04 10 180.00 6.3986E-04 Asymptotic AOP values are MUu(inf) = 0.3738 MUd(inf) = 0.8648 MU(inf) = 0.8510 R(inf) = 0.0049 Lu(inf)/Ed(inf) = 0.001078 (1/sr) k(inf) = 0.4221 (1/m) absorp(check) = 0.3592 = 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 1.0462E-01 1.6986E+00 1.8032E+00 4.3121E-02 1.4024E+00 0.4122 0.8256 0.7538 3.0749E-02 1 0.00 0.00 1.4825E-02 1.4404E+00 1.4553E+00 6.0121E-03 1.3653E+00 0.4055 0.9478 0.9340 4.4036E-03 3 0.79 1.00 1.0551E-02 9.9120E-01 1.0017E+00 4.2099E-03 9.2707E-01 0.3990 0.9353 0.9212 4.5411E-03 5 1.58 2.00 7.3575E-03 6.7594E-01 6.8329E-01 2.9200E-03 6.2695E-01 0.3969 0.9275 0.9133 4.6576E-03 7 2.37 3.00 5.1009E-03 4.5876E-01 4.6386E-01 2.0208E-03 4.2276E-01 0.3962 0.9215 0.9070 4.7799E-03 9 3.16 4.00 3.5311E-03 3.1033E-01 3.1386E-01 1.3994E-03 2.8442E-01 0.3963 0.9165 0.9017 4.9202E-03 11 3.94 5.00 2.4468E-03 2.0937E-01 2.1182E-01 9.7180E-04 1.9097E-01 0.3972 0.9121 0.8970 5.0888E-03 13 4.73 6.00 1.7004E-03 1.4095E-01 1.4265E-01 6.7808E-04 1.2800E-01 0.3988 0.9081 0.8926 5.2975E-03 15 5.52 7.00 1.1874E-03 9.4698E-02 9.5885E-02 4.7627E-04 8.5651E-02 0.4011 0.9045 0.8883 5.5606E-03 17 6.31 8.00 8.3482E-04 6.3529E-02 6.4364E-02 3.3748E-04 5.7244E-02 0.4043 0.9011 0.8841 5.8956E-03 19 7.10 9.00 5.9216E-04 4.2560E-02 4.3153E-02 2.4175E-04 3.8212E-02 0.4082 0.8978 0.8799 6.3265E-03 21 7.89 10.00 4.2463E-04 2.8479E-02 2.8904E-02 1.7540E-04 2.5481E-02 0.4131 0.8947 0.8755 6.8837E-03 K-functions (units of 1/meter) at 645.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.31090 0.36471 0.36416 0.34455 0.38416 0.38433 0.36850 1.000 1.010 1.005 0.35488 0.37958 0.37932 0.36315 0.38944 0.38956 0.37221 2.000 2.010 2.005 0.36446 0.38556 0.38533 0.36764 0.39275 0.39286 0.37177 3.000 3.010 3.005 0.36757 0.38941 0.38917 0.36819 0.39529 0.39542 0.36915 4.000 4.010 4.005 0.36769 0.39231 0.39204 0.36637 0.39741 0.39756 0.36463 5.000 5.010 5.005 0.36569 0.39468 0.39435 0.36258 0.39925 0.39944 0.35821 6.000 6.010 6.005 0.36177 0.39669 0.39628 0.35685 0.40088 0.40111 0.34982 7.000 7.010 7.005 0.35596 0.39843 0.39790 0.34911 0.40232 0.40262 0.33936 8.000 8.010 8.005 0.34818 0.39992 0.39925 0.33935 0.40361 0.40399 0.32691 9.000 9.010 9.005 0.33833 0.40120 0.40034 0.32751 0.40473 0.40522 0.31257 10.000 10.010 10.005 0.32645 0.40226 0.40115 0.31375 0.40570 0.40634 0.29670 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 3.42314E-01 8.14921E-04 5.38311E-02 5.46460E-02 5.81107E-04 0.157256 9 1 10.0 0.0 180.0 1.50080E-01 8.29097E-04 2.32283E-02 2.40574E-02 5.91216E-04 0.154773 9 4 10.0 45.0 135.0 1.67760E-01 8.24529E-04 2.67870E-02 2.76116E-02 5.87958E-04 0.159675 9 7 10.0 90.0 90.0 2.34218E-01 8.19720E-04 4.06563E-02 4.14760E-02 5.84529E-04 0.173583 8 1 20.0 0.0 180.0 8.97203E-02 8.34347E-04 7.30374E-03 8.13808E-03 5.94960E-04 0.081406 8 4 20.0 45.0 135.0 1.00118E-01 8.24510E-04 9.49986E-03 1.03244E-02 5.87945E-04 0.094887 8 7 20.0 90.0 90.0 1.40698E-01 8.18706E-04 1.95220E-02 2.03407E-02 5.83806E-04 0.138751 7 1 30.0 0.0 180.0 6.32163E-02 8.42616E-04 2.28378E-03 3.12640E-03 6.00856E-04 0.036126 7 4 30.0 45.0 135.0 6.90356E-02 8.39525E-04 2.94599E-03 3.78551E-03 5.98652E-04 0.042673 7 7 30.0 90.0 90.0 9.07504E-02 8.28026E-04 6.36724E-03 7.19527E-03 5.90452E-04 0.070162 6 1 40.0 0.0 180.0 5.19302E-02 8.44767E-04 1.52634E-03 2.37111E-03 6.02389E-04 0.029392 6 4 40.0 45.0 135.0 5.56008E-02 8.40350E-04 1.68286E-03 2.52321E-03 5.99240E-04 0.030267 6 7 40.0 90.0 90.0 6.82546E-02 8.28619E-04 2.48746E-03 3.31608E-03 5.90875E-04 0.036444 5 1 50.0 0.0 180.0 4.80990E-02 8.53740E-04 1.94491E-03 2.79865E-03 6.08788E-04 0.040436 5 4 50.0 45.0 135.0 5.08010E-02 8.44810E-04 2.05109E-03 2.89590E-03 6.02420E-04 0.040375 5 7 50.0 90.0 90.0 5.94807E-02 8.33882E-04 2.43751E-03 3.27140E-03 5.94628E-04 0.040980 4 1 60.0 0.0 180.0 4.98896E-02 8.40881E-04 3.82920E-03 4.67008E-03 5.99618E-04 0.076753 4 4 60.0 45.0 135.0 5.20469E-02 8.31098E-04 3.94798E-03 4.77908E-03 5.92642E-04 0.075854 4 7 60.0 90.0 90.0 5.88862E-02 8.30277E-04 4.42527E-03 5.25554E-03 5.92057E-04 0.075150 3 1 70.0 0.0 180.0 5.98319E-02 7.83406E-04 9.57463E-03 1.03580E-02 5.58634E-04 0.160025 3 4 70.0 45.0 135.0 6.14133E-02 7.82893E-04 9.80275E-03 1.05856E-02 5.58268E-04 0.159619 3 7 70.0 90.0 90.0 6.69765E-02 7.82259E-04 1.06637E-02 1.14459E-02 5.57816E-04 0.159215 2 1 80.0 0.0 180.0 8.92239E-02 6.75253E-04 2.27452E-02 2.34204E-02 4.81512E-04 0.254922 2 4 80.0 45.0 135.0 8.96544E-02 6.73368E-04 2.36074E-02 2.42807E-02 4.80168E-04 0.263315 2 7 80.0 90.0 90.0 9.32170E-02 6.73121E-04 2.52742E-02 2.59473E-02 4.79991E-04 0.271133 1 1 87.5 0.0 180.0 1.34508E-01 5.49578E-04 3.96325E-02 4.01821E-02 3.91895E-04 0.294649 1 4 87.5 45.0 135.0 1.32897E-01 5.21941E-04 4.22966E-02 4.28185E-02 3.72188E-04 0.318267 1 7 87.5 90.0 90.0 1.32650E-01 5.77524E-04 4.45831E-02 4.51606E-02 4.11823E-04 0.336097 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 5.465E-02 3.423E-01 8.734E-02 8.891E-02 9.522E-02 3.897E-02 7.891E-01 8.149E-04 5.811E-04 1 0.00 0.00 1.513E-03 5.805E+00 3.614E-03 4.145E-03 4.812E-03 1.108E-03 3.974E+00 3 0.79 1.00 1.044E-03 3.779E+00 2.869E-03 3.388E-03 4.248E-03 1.126E-03 4.033E+00 5 1.58 2.00 7.195E-04 2.453E+00 2.038E-03 2.418E-03 3.050E-03 1.148E-03 4.058E+00 7 2.37 3.00 4.967E-04 1.590E+00 1.422E-03 1.691E-03 2.137E-03 1.175E-03 4.069E+00 9 3.16 4.00 3.441E-04 1.028E+00 9.860E-04 1.172E-03 1.483E-03 1.210E-03 4.067E+00 11 3.94 5.00 2.397E-04 6.642E-01 6.823E-04 8.102E-04 1.023E-03 1.255E-03 4.055E+00 13 4.73 6.00 1.682E-04 4.288E-01 4.723E-04 5.593E-04 7.039E-04 1.314E-03 4.032E+00 15 5.52 7.00 1.191E-04 2.765E-01 3.276E-04 3.864E-04 4.839E-04 1.391E-03 3.998E+00 17 6.31 8.00 8.535E-05 1.783E-01 2.280E-04 2.676E-04 3.329E-04 1.491E-03 3.954E+00 19 7.10 9.00 6.198E-05 1.150E-01 1.596E-04 1.860E-04 2.295E-04 1.622E-03 3.900E+00 21 7.89 10.00 4.570E-05 7.413E-02 1.124E-04 1.301E-04 1.589E-04 1.793E-03 3.838E+00 Waveband 30 of 40 completed in 3.7 sec. * * * * * Output for wavelength band 31 (650.0 to 660.0 nm; nominal wavelength = 655.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 34.0 m at 655.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 650.0 nm to 660.0 nm: Ed(diffuse) = 3.068E-01 Ed(direct) = 1.033E+00 Ed(total) = 1.340E+00 Absorption Coefficients of Individual Components at 655.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3710 0.0392 0.0010 0.4112 3 0.834 1.000 0.3710 0.0392 0.0010 0.4112 5 1.669 2.000 0.3710 0.0392 0.0010 0.4112 7 2.503 3.000 0.3710 0.0392 0.0010 0.4112 9 3.337 4.000 0.3710 0.0392 0.0010 0.4112 11 4.171 5.000 0.3710 0.0392 0.0010 0.4112 13 5.006 6.000 0.3710 0.0392 0.0010 0.4112 15 5.840 7.000 0.3710 0.0392 0.0010 0.4112 17 6.674 8.000 0.3710 0.0392 0.0010 0.4112 19 7.509 9.000 0.3710 0.0392 0.0010 0.4112 21 8.343 10.000 0.3710 0.0392 0.0010 0.4112 Scattering Coefficients of Individual Components at 655.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0009 0.4222 0.0000 0.4231 3 0.834 1.000 0.0009 0.4222 0.0000 0.4231 5 1.669 2.000 0.0009 0.4222 0.0000 0.4231 7 2.503 3.000 0.0009 0.4222 0.0000 0.4231 9 3.337 4.000 0.0009 0.4222 0.0000 0.4231 11 4.171 5.000 0.0009 0.4222 0.0000 0.4231 13 5.006 6.000 0.0009 0.4222 0.0000 0.4231 15 5.840 7.000 0.0009 0.4222 0.0000 0.4231 17 6.674 8.000 0.0009 0.4222 0.0000 0.4231 19 7.509 9.000 0.0009 0.4222 0.0000 0.4231 21 8.343 10.000 0.0009 0.4222 0.0000 0.4231 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 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00045 0.00422 0.00000 0.00467 3 0.834 1.000 0.00045 0.00422 0.00000 0.00467 5 1.669 2.000 0.00045 0.00422 0.00000 0.00467 7 2.503 3.000 0.00045 0.00422 0.00000 0.00467 9 3.337 4.000 0.00045 0.00422 0.00000 0.00467 11 4.171 5.000 0.00045 0.00422 0.00000 0.00467 13 5.006 6.000 0.00045 0.00422 0.00000 0.00467 15 5.840 7.000 0.00045 0.00422 0.00000 0.00467 17 6.674 8.000 0.00045 0.00422 0.00000 0.00467 19 7.509 9.000 0.00045 0.00422 0.00000 0.00467 21 8.343 10.000 0.00045 0.00422 0.00000 0.00467 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 0.4112 0.4231 0.8343 0.5071 0.00467 0.01104 3 0.834 1.000 0.4112 0.4231 0.8343 0.5071 0.00467 0.01104 5 1.669 2.000 0.4112 0.4231 0.8343 0.5071 0.00467 0.01104 7 2.503 3.000 0.4112 0.4231 0.8343 0.5071 0.00467 0.01104 9 3.337 4.000 0.4112 0.4231 0.8343 0.5071 0.00467 0.01104 11 4.171 5.000 0.4112 0.4231 0.8343 0.5071 0.00467 0.01104 13 5.006 6.000 0.4112 0.4231 0.8343 0.5071 0.00467 0.01104 15 5.840 7.000 0.4112 0.4231 0.8343 0.5071 0.00467 0.01104 17 6.674 8.000 0.4112 0.4231 0.8343 0.5071 0.00467 0.01104 19 7.509 9.000 0.4112 0.4231 0.8343 0.5071 0.00467 0.01104 21 8.343 10.000 0.4112 0.4231 0.8343 0.5071 0.00467 0.01104 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.2258E-01 8 20.00 4.9458E-01 7 30.00 2.3390E-01 6 40.00 9.6739E-02 5 50.00 3.8759E-02 4 60.00 1.6311E-02 3 70.00 7.5524E-03 2 80.00 3.9158E-03 1 87.50 2.5561E-03 1 92.50 1.9663E-03 2 100.00 1.4264E-03 3 110.00 1.0084E-03 4 120.00 7.7698E-04 5 130.00 6.4751E-04 6 140.00 5.7489E-04 7 150.00 5.3473E-04 8 160.00 5.1337E-04 9 170.00 5.0313E-04 10 180.00 4.9965E-04 Asymptotic AOP values are MUu(inf) = 0.3758 MUd(inf) = 0.8750 MU(inf) = 0.8632 R(inf) = 0.0041 Lu(inf)/Ed(inf) = 0.000916 (1/sr) k(inf) = 0.4764 (1/m) absorp(check) = 0.4112 = 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 9.8987E-02 1.6214E+00 1.7204E+00 4.0851E-02 1.3401E+00 0.4127 0.8265 0.7552 3.0484E-02 1 0.00 0.00 1.2436E-02 1.3749E+00 1.3873E+00 5.0547E-03 1.3043E+00 0.4064 0.9487 0.9365 3.8754E-03 3 0.83 1.00 8.4410E-03 8.9501E-01 9.0345E-01 3.3889E-03 8.3876E-01 0.4015 0.9372 0.9246 4.0403E-03 5 1.67 2.00 5.6400E-03 5.7746E-01 5.8310E-01 2.2619E-03 5.3717E-01 0.4011 0.9302 0.9173 4.2108E-03 7 2.50 3.00 3.7693E-03 3.7093E-01 3.7470E-01 1.5163E-03 3.4305E-01 0.4023 0.9248 0.9115 4.4201E-03 9 3.34 4.00 2.5336E-03 2.3753E-01 2.4006E-01 1.0255E-03 2.1859E-01 0.4048 0.9203 0.9063 4.6915E-03 11 4.17 5.00 1.7199E-03 1.5175E-01 1.5347E-01 7.0249E-04 1.3903E-01 0.4085 0.9162 0.9013 5.0529E-03 13 5.01 6.00 1.1835E-03 9.6764E-02 9.7948E-02 4.8912E-04 8.8281E-02 0.4133 0.9123 0.8963 5.5405E-03 15 5.84 7.00 8.2835E-04 6.1609E-02 6.2438E-02 3.4728E-04 5.5982E-02 0.4192 0.9087 0.8910 6.2034E-03 17 6.67 8.00 5.9159E-04 3.9182E-02 3.9773E-02 2.5208E-04 3.5460E-02 0.4261 0.9050 0.8852 7.1087E-03 19 7.51 9.00 4.3211E-04 2.4900E-02 2.5332E-02 1.8735E-04 2.2443E-02 0.4336 0.9013 0.8785 8.3481E-03 21 8.34 10.00 3.2319E-04 1.5819E-02 1.6142E-02 1.4263E-04 1.4196E-02 0.4413 0.8974 0.8706 1.0047E-02 K-functions (units of 1/meter) at 655.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.35953 0.41997 0.41943 0.38971 0.43845 0.43864 0.40977 1.000 1.010 1.005 0.40023 0.43508 0.43475 0.40441 0.44390 0.44406 0.40861 2.000 2.010 2.005 0.40400 0.44070 0.44035 0.40293 0.44716 0.44735 0.40154 3.000 3.010 3.005 0.40090 0.44434 0.44391 0.39617 0.44963 0.44987 0.39058 4.000 4.010 4.005 0.39296 0.44699 0.44642 0.38530 0.45166 0.45198 0.37598 5.000 5.010 5.005 0.38122 0.44908 0.44832 0.37073 0.45339 0.45381 0.35793 6.000 6.010 6.005 0.36584 0.45077 0.44975 0.35271 0.45487 0.45544 0.33687 7.000 7.010 7.005 0.34712 0.45210 0.45071 0.33173 0.45610 0.45688 0.31357 8.000 8.010 8.005 0.32566 0.45305 0.45116 0.30866 0.45709 0.45815 0.28920 9.000 9.010 9.005 0.30236 0.45359 0.45100 0.28464 0.45779 0.45924 0.26506 10.000 10.010 10.005 0.27852 0.45361 0.45011 0.26100 0.45815 0.46015 0.24237 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 3.24864E-01 6.90020E-04 5.15063E-02 5.21963E-02 5.14912E-04 0.158547 9 1 10.0 0.0 180.0 1.42429E-01 7.01836E-04 2.22142E-02 2.29160E-02 5.23730E-04 0.155967 9 4 10.0 45.0 135.0 1.59209E-01 6.97996E-04 2.56199E-02 2.63179E-02 5.20864E-04 0.160920 9 7 10.0 90.0 90.0 2.22275E-01 6.93982E-04 3.88947E-02 3.95887E-02 5.17869E-04 0.174985 8 1 20.0 0.0 180.0 8.51467E-02 7.06044E-04 6.97452E-03 7.68056E-03 5.26869E-04 0.081912 8 4 20.0 45.0 135.0 9.50141E-02 6.97758E-04 9.07538E-03 9.77314E-03 5.20686E-04 0.095516 8 7 20.0 90.0 90.0 1.33526E-01 6.92916E-04 1.86658E-02 1.93587E-02 5.17073E-04 0.139792 7 1 30.0 0.0 180.0 5.99938E-02 7.12744E-04 2.17280E-03 2.88555E-03 5.31869E-04 0.036217 7 4 30.0 45.0 135.0 6.55165E-02 7.10172E-04 2.80548E-03 3.51565E-03 5.29950E-04 0.042821 7 7 30.0 90.0 90.0 8.61244E-02 7.00506E-04 6.07652E-03 6.77703E-03 5.22737E-04 0.070555 6 1 40.0 0.0 180.0 4.92830E-02 7.14051E-04 1.44881E-03 2.16286E-03 5.32845E-04 0.029398 6 4 40.0 45.0 135.0 5.27665E-02 7.10347E-04 1.59770E-03 2.30805E-03 5.30081E-04 0.030279 6 7 40.0 90.0 90.0 6.47752E-02 7.00429E-04 2.36452E-03 3.06495E-03 5.22680E-04 0.036503 5 1 50.0 0.0 180.0 4.56471E-02 7.21060E-04 1.84580E-03 2.56686E-03 5.38075E-04 0.040436 5 4 50.0 45.0 135.0 4.82114E-02 7.13513E-04 1.94654E-03 2.66005E-03 5.32444E-04 0.040375 5 7 50.0 90.0 90.0 5.64486E-02 7.04174E-04 2.31344E-03 3.01761E-03 5.25474E-04 0.040983 4 1 60.0 0.0 180.0 4.73465E-02 7.09573E-04 3.63400E-03 4.34357E-03 5.29503E-04 0.076753 4 4 60.0 45.0 135.0 4.93938E-02 7.01276E-04 3.74673E-03 4.44801E-03 5.23312E-04 0.075854 4 7 60.0 90.0 90.0 5.58844E-02 7.00351E-04 4.19969E-03 4.90004E-03 5.22622E-04 0.075150 3 1 70.0 0.0 180.0 5.67819E-02 6.60338E-04 9.08655E-03 9.74689E-03 4.92763E-04 0.160025 3 4 70.0 45.0 135.0 5.82827E-02 6.59814E-04 9.30304E-03 9.96286E-03 4.92372E-04 0.159619 3 7 70.0 90.0 90.0 6.35623E-02 6.58898E-04 1.01201E-02 1.07790E-02 4.91688E-04 0.159215 2 1 80.0 0.0 180.0 8.46757E-02 5.68561E-04 2.15857E-02 2.21543E-02 4.24276E-04 0.254922 2 4 80.0 45.0 135.0 8.50842E-02 5.66845E-04 2.24040E-02 2.29708E-02 4.22995E-04 0.263315 2 7 80.0 90.0 90.0 8.84652E-02 5.66201E-04 2.39858E-02 2.45520E-02 4.22515E-04 0.271133 1 1 87.5 0.0 180.0 1.27651E-01 4.62224E-04 3.76122E-02 3.80745E-02 3.44925E-04 0.294649 1 4 87.5 45.0 135.0 1.26122E-01 4.38856E-04 4.01405E-02 4.05794E-02 3.27487E-04 0.318267 1 7 87.5 90.0 90.0 1.25888E-01 4.85108E-04 4.23105E-02 4.27956E-02 3.62001E-04 0.336097 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 5.220E-02 3.249E-01 8.286E-02 8.434E-02 9.033E-02 3.895E-02 7.826E-01 6.900E-04 5.149E-04 1 0.00 0.00 1.281E-03 5.554E+00 3.052E-03 3.500E-03 4.054E-03 9.821E-04 3.946E+00 3 0.83 1.00 8.501E-04 3.435E+00 2.286E-03 2.695E-03 3.373E-03 1.014E-03 3.986E+00 5 1.67 2.00 5.668E-04 2.119E+00 1.538E-03 1.819E-03 2.287E-03 1.055E-03 3.991E+00 7 2.50 3.00 3.813E-04 1.305E+00 1.027E-03 1.214E-03 1.525E-03 1.111E-03 3.977E+00 9 3.34 4.00 2.598E-04 8.018E-01 6.842E-04 8.064E-04 1.010E-03 1.189E-03 3.947E+00 11 4.17 5.00 1.799E-04 4.921E-01 4.580E-04 5.371E-04 6.690E-04 1.294E-03 3.904E+00 13 5.01 6.00 1.271E-04 3.018E-01 3.092E-04 3.600E-04 4.446E-04 1.440E-03 3.848E+00 15 5.84 7.00 9.179E-05 1.849E-01 2.112E-04 2.437E-04 2.975E-04 1.640E-03 3.783E+00 17 6.67 8.00 6.790E-05 1.133E-01 1.465E-04 1.671E-04 2.011E-04 1.915E-03 3.713E+00 19 7.51 9.00 5.146E-05 6.937E-02 1.035E-04 1.165E-04 1.379E-04 2.293E-03 3.641E+00 21 8.34 10.00 3.993E-05 4.248E-02 7.462E-05 8.282E-05 9.625E-05 2.813E-03 3.571E+00 Waveband 31 of 40 completed in 3.7 sec. * * * * * Output for wavelength band 32 (660.0 to 670.0 nm; nominal wavelength = 665.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 32.2 m at 665.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 660.0 nm to 670.0 nm: Ed(diffuse) = 3.167E-01 Ed(direct) = 1.076E+00 Ed(total) = 1.392E+00 Absorption Coefficients of Individual Components at 665.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.4290 0.0546 0.0009 0.4845 3 0.901 1.000 0.4290 0.0546 0.0009 0.4845 5 1.802 2.000 0.4290 0.0546 0.0009 0.4845 7 2.704 3.000 0.4290 0.0546 0.0009 0.4845 9 3.605 4.000 0.4290 0.0546 0.0009 0.4845 11 4.506 5.000 0.4290 0.0546 0.0009 0.4845 13 5.407 6.000 0.4290 0.0546 0.0009 0.4845 15 6.309 7.000 0.4290 0.0546 0.0009 0.4845 17 7.210 8.000 0.4290 0.0546 0.0009 0.4845 19 8.111 9.000 0.4290 0.0546 0.0009 0.4845 21 9.012 10.000 0.4290 0.0546 0.0009 0.4845 Scattering Coefficients of Individual Components at 665.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0008 0.4158 0.0000 0.4167 3 0.901 1.000 0.0008 0.4158 0.0000 0.4167 5 1.802 2.000 0.0008 0.4158 0.0000 0.4167 7 2.704 3.000 0.0008 0.4158 0.0000 0.4167 9 3.605 4.000 0.0008 0.4158 0.0000 0.4167 11 4.506 5.000 0.0008 0.4158 0.0000 0.4167 13 5.407 6.000 0.0008 0.4158 0.0000 0.4167 15 6.309 7.000 0.0008 0.4158 0.0000 0.4167 17 7.210 8.000 0.0008 0.4158 0.0000 0.4167 19 8.111 9.000 0.0008 0.4158 0.0000 0.4167 21 9.012 10.000 0.0008 0.4158 0.0000 0.4167 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 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00042 0.00416 0.00000 0.00458 3 0.901 1.000 0.00042 0.00416 0.00000 0.00458 5 1.802 2.000 0.00042 0.00416 0.00000 0.00458 7 2.704 3.000 0.00042 0.00416 0.00000 0.00458 9 3.605 4.000 0.00042 0.00416 0.00000 0.00458 11 4.506 5.000 0.00042 0.00416 0.00000 0.00458 13 5.407 6.000 0.00042 0.00416 0.00000 0.00458 15 6.309 7.000 0.00042 0.00416 0.00000 0.00458 17 7.210 8.000 0.00042 0.00416 0.00000 0.00458 19 8.111 9.000 0.00042 0.00416 0.00000 0.00458 21 9.012 10.000 0.00042 0.00416 0.00000 0.00458 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 0.4845 0.4167 0.9012 0.4624 0.00458 0.01099 3 0.901 1.000 0.4845 0.4167 0.9012 0.4624 0.00458 0.01099 5 1.802 2.000 0.4845 0.4167 0.9012 0.4624 0.00458 0.01099 7 2.704 3.000 0.4845 0.4167 0.9012 0.4624 0.00458 0.01099 9 3.605 4.000 0.4845 0.4167 0.9012 0.4624 0.00458 0.01099 11 4.506 5.000 0.4845 0.4167 0.9012 0.4624 0.00458 0.01099 13 5.407 6.000 0.4845 0.4167 0.9012 0.4624 0.00458 0.01099 15 6.309 7.000 0.4845 0.4167 0.9012 0.4624 0.00458 0.01099 17 7.210 8.000 0.4845 0.4167 0.9012 0.4624 0.00458 0.01099 19 8.111 9.000 0.4845 0.4167 0.9012 0.4624 0.00458 0.01099 21 9.012 10.000 0.4845 0.4167 0.9012 0.4624 0.00458 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 8.0215E-01 8 20.00 4.5370E-01 7 30.00 1.9869E-01 6 40.00 7.6488E-02 5 50.00 2.9079E-02 4 60.00 1.1883E-02 3 70.00 5.4385E-03 2 80.00 2.8130E-03 1 87.50 1.8384E-03 1 92.50 1.4186E-03 2 100.00 1.0320E-03 3 110.00 7.3233E-04 4 120.00 5.6702E-04 5 130.00 4.7503E-04 6 140.00 4.2388E-04 7 150.00 3.9596E-04 8 160.00 3.8137E-04 9 170.00 3.7448E-04 10 180.00 3.7216E-04 Asymptotic AOP values are MUu(inf) = 0.3783 MUd(inf) = 0.8863 MU(inf) = 0.8765 R(inf) = 0.0034 Lu(inf)/Ed(inf) = 0.000757 (1/sr) k(inf) = 0.5528 (1/m) absorp(check) = 0.4846 = 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 1.0263E-01 1.6830E+00 1.7856E+00 4.2498E-02 1.3924E+00 0.4141 0.8273 0.7560 3.0522E-02 1 0.00 0.00 1.2897E-02 1.4283E+00 1.4412E+00 5.3897E-03 1.3553E+00 0.4179 0.9489 0.9367 3.9768E-03 3 0.90 1.00 8.6398E-03 8.6064E-01 8.6928E-01 3.6177E-03 8.0758E-01 0.4187 0.9383 0.9249 4.4797E-03 5 1.80 2.00 5.8444E-03 5.1438E-01 5.2022E-01 2.4793E-03 4.7936E-01 0.4242 0.9319 0.9167 5.1721E-03 7 2.70 3.00 4.0598E-03 3.0636E-01 3.1042E-01 1.7517E-03 2.8386E-01 0.4315 0.9265 0.9088 6.1709E-03 9 3.60 4.00 2.9124E-03 1.8212E-01 1.8504E-01 1.2801E-03 1.6782E-01 0.4395 0.9214 0.9000 7.6283E-03 11 4.51 5.00 2.1613E-03 1.0819E-01 1.1035E-01 9.6757E-04 9.9115E-02 0.4477 0.9161 0.8894 9.7621E-03 13 5.41 6.00 1.6567E-03 6.4287E-02 6.5944E-02 7.5414E-04 5.8512E-02 0.4552 0.9102 0.8759 1.2889E-02 15 6.31 7.00 1.3071E-03 3.8273E-02 3.9580E-02 6.0345E-04 3.4567E-02 0.4617 0.9032 0.8581 1.7457E-02 17 7.21 8.00 1.0561E-03 2.2868E-02 2.3924E-02 4.9314E-04 2.0456E-02 0.4669 0.8945 0.8344 2.4107E-02 19 8.11 9.00 8.6950E-04 1.3747E-02 1.4617E-02 4.0952E-04 1.2146E-02 0.4710 0.8835 0.8030 3.3717E-02 21 9.01 10.00 7.2595E-04 8.3417E-03 9.0676E-03 3.4409E-04 7.2516E-03 0.4740 0.8693 0.7618 4.7451E-02 K-functions (units of 1/meter) at 665.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.38799 0.49760 0.49662 0.40103 0.51465 0.51511 0.40651 1.000 1.010 1.005 0.40081 0.51205 0.51094 0.39095 0.52006 0.52064 0.38128 2.000 2.010 2.005 0.37912 0.51684 0.51529 0.36358 0.52295 0.52378 0.34879 3.000 3.010 3.005 0.34888 0.51934 0.51711 0.33074 0.52490 0.52611 0.31369 4.000 4.010 4.005 0.31528 0.52060 0.51736 0.29649 0.52620 0.52797 0.27924 5.000 5.010 5.005 0.28167 0.52078 0.51610 0.26392 0.52686 0.52946 0.24802 6.000 6.010 6.005 0.25075 0.51975 0.51298 0.23523 0.52677 0.53058 0.22166 7.000 7.010 7.005 0.22435 0.51713 0.50745 0.21158 0.52569 0.53128 0.20069 8.000 8.010 8.005 0.20313 0.51240 0.49873 0.19313 0.52325 0.53141 0.18481 9.000 9.010 9.005 0.18688 0.50482 0.48588 0.17937 0.51894 0.53081 0.17326 10.000 10.010 10.005 0.17504 0.49349 0.46796 0.16955 0.51208 0.52917 0.16514 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 3.35339E-01 7.59783E-04 5.35817E-02 5.43414E-02 5.45673E-04 0.159783 9 1 10.0 0.0 180.0 1.47022E-01 7.71357E-04 2.30985E-02 2.38698E-02 5.53986E-04 0.157109 9 4 10.0 45.0 135.0 1.64343E-01 7.67575E-04 2.66421E-02 2.74097E-02 5.51269E-04 0.162113 9 7 10.0 90.0 90.0 2.29438E-01 7.64178E-04 4.04563E-02 4.12205E-02 5.48829E-04 0.176328 8 1 20.0 0.0 180.0 8.78922E-02 7.75169E-04 7.24201E-03 8.01718E-03 5.56723E-04 0.082396 8 4 20.0 45.0 135.0 9.80778E-02 7.66772E-04 9.42712E-03 1.01939E-02 5.50692E-04 0.096119 8 7 20.0 90.0 90.0 1.37831E-01 7.62997E-04 1.94050E-02 2.01680E-02 5.47981E-04 0.140788 7 1 30.0 0.0 180.0 6.19283E-02 7.81750E-04 2.24824E-03 3.02999E-03 5.61449E-04 0.036304 7 4 30.0 45.0 135.0 6.76290E-02 7.79849E-04 2.90550E-03 3.68535E-03 5.60084E-04 0.042962 7 7 30.0 90.0 90.0 8.89014E-02 7.71173E-04 6.30593E-03 7.07710E-03 5.53853E-04 0.070932 6 1 40.0 0.0 180.0 5.08721E-02 7.82081E-04 1.49580E-03 2.27788E-03 5.61687E-04 0.029403 6 4 40.0 45.0 135.0 5.44679E-02 7.79064E-04 1.64984E-03 2.42890E-03 5.59521E-04 0.030290 6 7 40.0 90.0 90.0 6.68639E-02 7.70213E-04 2.44458E-03 3.21480E-03 5.53164E-04 0.036561 5 1 50.0 0.0 180.0 4.71190E-02 7.88236E-04 1.90535E-03 2.69359E-03 5.66107E-04 0.040437 5 4 50.0 45.0 135.0 4.97660E-02 7.80950E-04 2.00930E-03 2.79025E-03 5.60875E-04 0.040375 5 7 50.0 90.0 90.0 5.82688E-02 7.72345E-04 2.38821E-03 3.16055E-03 5.54695E-04 0.040986 4 1 60.0 0.0 180.0 4.88731E-02 7.73816E-04 3.75118E-03 4.52499E-03 5.55751E-04 0.076753 4 4 60.0 45.0 135.0 5.09865E-02 7.65565E-04 3.86755E-03 4.63311E-03 5.49826E-04 0.075854 4 7 60.0 90.0 90.0 5.76864E-02 7.65559E-04 4.33510E-03 5.10066E-03 5.49821E-04 0.075150 3 1 70.0 0.0 180.0 5.86128E-02 7.17344E-04 9.37955E-03 1.00969E-02 5.15193E-04 0.160025 3 4 70.0 45.0 135.0 6.01620E-02 7.17220E-04 9.60302E-03 1.03202E-02 5.15104E-04 0.159619 3 7 70.0 90.0 90.0 6.56119E-02 7.16135E-04 1.04464E-02 1.11625E-02 5.14325E-04 0.159215 2 1 80.0 0.0 180.0 8.74060E-02 6.15019E-04 2.22817E-02 2.28968E-02 4.41704E-04 0.254922 2 4 80.0 45.0 135.0 8.78277E-02 6.13224E-04 2.31264E-02 2.37396E-02 4.40415E-04 0.263315 2 7 80.0 90.0 90.0 9.13177E-02 6.11659E-04 2.47592E-02 2.53709E-02 4.39291E-04 0.271133 1 1 87.5 0.0 180.0 1.31767E-01 4.97373E-04 3.88250E-02 3.93224E-02 3.57211E-04 0.294649 1 4 87.5 45.0 135.0 1.30189E-01 4.72058E-04 4.14348E-02 4.19069E-02 3.39030E-04 0.318267 1 7 87.5 90.0 90.0 1.29947E-01 5.20185E-04 4.36747E-02 4.41949E-02 3.73594E-04 0.336097 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 5.434E-02 3.353E-01 8.554E-02 8.707E-02 9.325E-02 3.903E-02 7.820E-01 7.598E-04 5.457E-04 1 0.00 0.00 1.410E-03 5.777E+00 3.107E-03 3.512E-03 3.996E-03 1.041E-03 3.821E+00 3 0.90 1.00 9.503E-04 3.324E+00 2.179E-03 2.512E-03 3.064E-03 1.177E-03 3.807E+00 5 1.80 2.00 6.594E-04 1.907E+00 1.442E-03 1.651E-03 2.000E-03 1.376E-03 3.760E+00 7 2.70 3.00 4.734E-04 1.092E+00 9.677E-04 1.096E-03 1.310E-03 1.668E-03 3.700E+00 9 3.60 4.00 3.520E-04 6.241E-01 6.670E-04 7.442E-04 8.732E-04 2.098E-03 3.637E+00 11 4.51 5.00 2.705E-04 3.563E-01 4.746E-04 5.207E-04 5.977E-04 2.729E-03 3.577E+00 13 5.41 6.00 2.140E-04 2.032E-01 3.494E-04 3.767E-04 4.222E-04 3.657E-03 3.524E+00 15 6.31 7.00 1.733E-04 1.158E-01 2.658E-04 2.819E-04 3.087E-04 5.014E-03 3.482E+00 17 7.21 8.00 1.430E-04 6.601E-02 2.083E-04 2.177E-04 2.334E-04 6.990E-03 3.449E+00 19 8.11 9.00 1.196E-04 3.763E-02 1.674E-04 1.729E-04 1.819E-04 9.847E-03 3.424E+00 21 9.01 10.00 1.010E-04 2.147E-02 1.371E-04 1.403E-04 1.456E-04 1.393E-02 3.407E+00 Waveband 32 of 40 completed in 4.0 sec. * * * * * Output for wavelength band 33 (670.0 to 680.0 nm; nominal wavelength = 675.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 31.9 m at 675.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 670.0 nm to 680.0 nm: Ed(diffuse) = 3.087E-01 Ed(direct) = 1.057E+00 Ed(total) = 1.366E+00 Absorption Coefficients of Individual Components at 675.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.4480 0.0557 0.0008 0.5044 3 0.915 1.000 0.4480 0.0557 0.0008 0.5044 5 1.830 2.000 0.4480 0.0557 0.0008 0.5044 7 2.745 3.000 0.4480 0.0557 0.0008 0.5044 9 3.660 4.000 0.4480 0.0557 0.0008 0.5044 11 4.575 5.000 0.4480 0.0557 0.0008 0.5044 13 5.490 6.000 0.4480 0.0557 0.0008 0.5044 15 6.404 7.000 0.4480 0.0557 0.0008 0.5044 17 7.319 8.000 0.4480 0.0557 0.0008 0.5044 19 8.234 9.000 0.4480 0.0557 0.0008 0.5044 21 9.149 10.000 0.4480 0.0557 0.0008 0.5044 Scattering Coefficients of Individual Components at 675.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0008 0.4097 0.0000 0.4105 3 0.915 1.000 0.0008 0.4097 0.0000 0.4105 5 1.830 2.000 0.0008 0.4097 0.0000 0.4105 7 2.745 3.000 0.0008 0.4097 0.0000 0.4105 9 3.660 4.000 0.0008 0.4097 0.0000 0.4105 11 4.575 5.000 0.0008 0.4097 0.0000 0.4105 13 5.490 6.000 0.0008 0.4097 0.0000 0.4105 15 6.404 7.000 0.0008 0.4097 0.0000 0.4105 17 7.319 8.000 0.0008 0.4097 0.0000 0.4105 19 8.234 9.000 0.0008 0.4097 0.0000 0.4105 21 9.149 10.000 0.0008 0.4097 0.0000 0.4105 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 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00040 0.00410 0.00000 0.00449 3 0.915 1.000 0.00040 0.00410 0.00000 0.00449 5 1.830 2.000 0.00040 0.00410 0.00000 0.00449 7 2.745 3.000 0.00040 0.00410 0.00000 0.00449 9 3.660 4.000 0.00040 0.00410 0.00000 0.00449 11 4.575 5.000 0.00040 0.00410 0.00000 0.00449 13 5.490 6.000 0.00040 0.00410 0.00000 0.00449 15 6.404 7.000 0.00040 0.00410 0.00000 0.00449 17 7.319 8.000 0.00040 0.00410 0.00000 0.00449 19 8.234 9.000 0.00040 0.00410 0.00000 0.00449 21 9.149 10.000 0.00040 0.00410 0.00000 0.00449 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 0.5044 0.4105 0.9149 0.4486 0.00449 0.01094 3 0.915 1.000 0.5044 0.4105 0.9149 0.4486 0.00449 0.01094 5 1.830 2.000 0.5044 0.4105 0.9149 0.4486 0.00449 0.01094 7 2.745 3.000 0.5044 0.4105 0.9149 0.4486 0.00449 0.01094 9 3.660 4.000 0.5044 0.4105 0.9149 0.4486 0.00449 0.01094 11 4.575 5.000 0.5044 0.4105 0.9149 0.4486 0.00449 0.01094 13 5.490 6.000 0.5044 0.4105 0.9149 0.4486 0.00449 0.01094 15 6.404 7.000 0.5044 0.4105 0.9149 0.4486 0.00449 0.01094 17 7.319 8.000 0.5044 0.4105 0.9149 0.4486 0.00449 0.01094 19 8.234 9.000 0.5044 0.4105 0.9149 0.4486 0.00449 0.01094 21 9.149 10.000 0.5044 0.4105 0.9149 0.4486 0.00449 0.01094 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 7.9541E-01 8 20.00 4.4086E-01 7 30.00 1.8833E-01 6 40.00 7.0890E-02 5 50.00 2.6532E-02 4 60.00 1.0755E-02 3 70.00 4.9076E-03 2 80.00 2.5372E-03 1 87.50 1.6586E-03 1 92.50 1.2809E-03 2 100.00 9.3229E-04 3 110.00 6.6204E-04 4 120.00 5.1310E-04 5 130.00 4.3033E-04 6 140.00 3.8443E-04 7 150.00 3.5947E-04 8 160.00 3.4648E-04 9 170.00 3.4039E-04 10 180.00 3.3833E-04 Asymptotic AOP values are MUu(inf) = 0.3788 MUd(inf) = 0.8897 MU(inf) = 0.8805 R(inf) = 0.0031 Lu(inf)/Ed(inf) = 0.000711 (1/sr) k(inf) = 0.5730 (1/m) absorp(check) = 0.5045 = 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 1.0270E-01 1.6493E+00 1.7520E+00 4.2930E-02 1.3659E+00 0.4180 0.8281 0.7551 3.1430E-02 1 0.00 0.00 1.8102E-02 1.4051E+00 1.4232E+00 7.9396E-03 1.3309E+00 0.4386 0.9472 0.9295 5.9657E-03 3 0.91 1.00 1.3167E-02 8.3139E-01 8.4456E-01 5.8390E-03 7.7824E-01 0.4435 0.9361 0.9146 7.5028E-03 5 1.83 2.00 9.8217E-03 4.8871E-01 4.9854E-01 4.4253E-03 4.5368E-01 0.4506 0.9283 0.9012 9.7541E-03 7 2.74 3.00 7.5599E-03 2.8687E-01 2.9443E-01 3.4582E-03 2.6416E-01 0.4574 0.9208 0.8854 1.3091E-02 9 3.66 4.00 5.9890E-03 1.6859E-01 1.7458E-01 2.7753E-03 1.5383E-01 0.4634 0.9125 0.8653 1.8041E-02 11 4.57 5.00 4.8591E-03 9.9437E-02 1.0430E-01 2.2749E-03 8.9730E-02 0.4682 0.9024 0.8385 2.5353E-02 13 5.49 6.00 4.0161E-03 5.9043E-02 6.3059E-02 1.8948E-03 5.2525E-02 0.4718 0.8896 0.8029 3.6075E-02 15 6.40 7.00 3.3650E-03 3.5434E-02 3.8799E-02 1.5965E-03 3.0937E-02 0.4745 0.8731 0.7562 5.1605E-02 17 7.32 8.00 2.8468E-03 2.1603E-02 2.4450E-02 1.3560E-03 1.8401E-02 0.4763 0.8517 0.6971 7.3692E-02 19 8.23 9.00 2.4244E-03 1.3463E-02 1.5887E-02 1.1578E-03 1.1104E-02 0.4776 0.8248 0.6260 1.0427E-01 21 9.15 10.00 2.0735E-03 8.6339E-03 1.0707E-02 9.9207E-04 6.8387E-03 0.4784 0.7921 0.5460 1.4507E-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 0.32453 0.51779 0.51533 0.31948 0.53384 0.53513 0.31349 1.000 1.010 1.005 0.30867 0.52945 0.52601 0.29341 0.53854 0.54040 0.28020 2.000 2.010 2.005 0.27765 0.53251 0.52748 0.26161 0.54047 0.54322 0.24812 3.000 3.010 3.005 0.24691 0.53253 0.52518 0.23261 0.54098 0.54507 0.22078 4.000 4.010 4.005 0.22035 0.53018 0.51953 0.20865 0.54014 0.54624 0.19913 5.000 5.010 5.005 0.19918 0.52512 0.50991 0.19015 0.53764 0.54670 0.18292 6.000 6.010 6.005 0.18322 0.51659 0.49533 0.17655 0.53290 0.54626 0.17130 7.000 7.010 7.005 0.17177 0.50355 0.47473 0.16695 0.52508 0.54461 0.16327 8.000 8.010 8.005 0.16372 0.48484 0.44739 0.16040 0.51313 0.54125 0.15791 9.000 9.010 9.005 0.15835 0.45954 0.41352 0.15610 0.49585 0.53548 0.15445 10.000 10.010 10.005 0.15502 0.42746 0.37465 0.15345 0.47218 0.52636 0.15234 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 3.26906E-01 1.17028E-03 5.26220E-02 5.37923E-02 8.56804E-04 0.160970 9 1 10.0 0.0 180.0 1.43324E-01 1.18478E-03 2.26748E-02 2.38596E-02 8.67421E-04 0.158206 9 4 10.0 45.0 135.0 1.60211E-01 1.18007E-03 2.61556E-02 2.73356E-02 8.63971E-04 0.163257 9 7 10.0 90.0 90.0 2.23665E-01 1.17741E-03 3.97265E-02 4.09040E-02 8.62018E-04 0.177617 8 1 20.0 0.0 180.0 8.56818E-02 1.18912E-03 7.09974E-03 8.28886E-03 8.70591E-04 0.082862 8 4 20.0 45.0 135.0 9.56112E-02 1.17800E-03 9.24534E-03 1.04233E-02 8.62452E-04 0.096697 8 7 20.0 90.0 90.0 1.34365E-01 1.17613E-03 1.90455E-02 2.02216E-02 8.61087E-04 0.141745 7 1 30.0 0.0 180.0 6.03708E-02 1.19795E-03 2.19673E-03 3.39469E-03 8.77062E-04 0.036387 7 4 30.0 45.0 135.0 6.59282E-02 1.19738E-03 2.84137E-03 4.03875E-03 8.76643E-04 0.043098 7 7 30.0 90.0 90.0 8.66656E-02 1.18907E-03 6.17865E-03 7.36773E-03 8.70560E-04 0.071293 6 1 40.0 0.0 180.0 4.95927E-02 1.19694E-03 1.45844E-03 2.65538E-03 8.76321E-04 0.029408 6 4 40.0 45.0 135.0 5.30981E-02 1.19503E-03 1.60892E-03 2.80396E-03 8.74924E-04 0.030301 6 7 40.0 90.0 90.0 6.51823E-02 1.18689E-03 2.38668E-03 3.57356E-03 8.68961E-04 0.036615 5 1 50.0 0.0 180.0 4.59340E-02 1.20394E-03 1.85747E-03 3.06141E-03 8.81448E-04 0.040438 5 4 50.0 45.0 135.0 4.85144E-02 1.19542E-03 1.95877E-03 3.15419E-03 8.75206E-04 0.040375 5 7 50.0 90.0 90.0 5.68034E-02 1.18691E-03 2.32831E-03 3.51522E-03 8.68977E-04 0.040989 4 1 60.0 0.0 180.0 4.76440E-02 1.17875E-03 3.65684E-03 4.83558E-03 8.62999E-04 0.076753 4 4 60.0 45.0 135.0 4.97042E-02 1.16845E-03 3.77028E-03 4.93873E-03 8.55461E-04 0.075854 4 7 60.0 90.0 90.0 5.62356E-02 1.17182E-03 4.22608E-03 5.39790E-03 8.57928E-04 0.075150 3 1 70.0 0.0 180.0 5.71388E-02 1.08745E-03 9.14365E-03 1.02311E-02 7.96159E-04 0.160025 3 4 70.0 45.0 135.0 5.86490E-02 1.08873E-03 9.36151E-03 1.04502E-02 7.97098E-04 0.159619 3 7 70.0 90.0 90.0 6.39618E-02 1.08797E-03 1.01837E-02 1.12716E-02 7.96543E-04 0.159215 2 1 80.0 0.0 180.0 8.52078E-02 9.27123E-04 2.17214E-02 2.26485E-02 6.78778E-04 0.254922 2 4 80.0 45.0 135.0 8.56189E-02 9.24967E-04 2.25447E-02 2.34697E-02 6.77199E-04 0.263315 2 7 80.0 90.0 90.0 8.90211E-02 9.21541E-04 2.41365E-02 2.50581E-02 6.74691E-04 0.271133 1 1 87.5 0.0 180.0 1.28453E-01 7.44291E-04 3.78486E-02 3.85929E-02 5.44920E-04 0.294649 1 4 87.5 45.0 135.0 1.26915E-01 7.06318E-04 4.03928E-02 4.10991E-02 5.17119E-04 0.318267 1 7 87.5 90.0 90.0 1.26679E-01 7.75348E-04 4.25763E-02 4.33517E-02 5.67659E-04 0.336097 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 5.379E-02 3.269E-01 8.352E-02 8.502E-02 9.103E-02 3.938E-02 7.981E-01 1.170E-03 8.568E-04 1 0.00 0.00 2.172E-03 5.673E+00 4.129E-03 4.518E-03 4.959E-03 1.632E-03 3.655E+00 3 0.91 1.00 1.614E-03 3.203E+00 2.940E-03 3.243E-03 3.746E-03 2.074E-03 3.617E+00 5 1.83 2.00 1.240E-03 1.804E+00 2.116E-03 2.302E-03 2.613E-03 2.733E-03 3.569E+00 7 2.74 3.00 9.814E-04 1.014E+00 1.568E-03 1.679E-03 1.865E-03 3.715E-03 3.524E+00 9 3.66 4.00 7.960E-04 5.690E-01 1.200E-03 1.266E-03 1.376E-03 5.174E-03 3.487E+00 11 4.57 5.00 6.579E-04 3.190E-01 9.465E-04 9.849E-04 1.049E-03 7.332E-03 3.458E+00 13 5.49 6.00 5.513E-04 1.787E-01 7.651E-04 7.874E-04 8.246E-04 1.050E-02 3.437E+00 15 6.40 7.00 4.666E-04 1.002E-01 6.306E-04 6.435E-04 6.648E-04 1.508E-02 3.422E+00 17 7.32 8.00 3.974E-04 5.619E-02 5.272E-04 5.346E-04 5.468E-04 2.160E-02 3.412E+00 19 8.23 9.00 3.401E-04 3.158E-02 4.453E-04 4.495E-04 4.565E-04 3.062E-02 3.405E+00 21 9.15 10.00 2.917E-04 1.781E-02 3.787E-04 3.811E-04 3.851E-04 4.266E-02 3.401E+00 Waveband 33 of 40 completed in 3.9 sec. * * * * * Output for wavelength band 34 (680.0 to 690.0 nm; nominal wavelength = 685.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 31.4 m at 685.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 680.0 nm to 690.0 nm: Ed(diffuse) = 2.824E-01 Ed(direct) = 9.745E-01 Ed(total) = 1.257E+00 Absorption Coefficients of Individual Components at 685.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.4860 0.0433 0.0007 0.5300 3 0.934 1.000 0.4860 0.0433 0.0007 0.5300 5 1.869 2.000 0.4860 0.0433 0.0007 0.5300 7 2.803 3.000 0.4860 0.0433 0.0007 0.5300 9 3.738 4.000 0.4860 0.0433 0.0007 0.5300 11 4.672 5.000 0.4860 0.0433 0.0007 0.5300 13 5.607 6.000 0.4860 0.0433 0.0007 0.5300 15 6.541 7.000 0.4860 0.0433 0.0007 0.5300 17 7.475 8.000 0.4860 0.0433 0.0007 0.5300 19 8.410 9.000 0.4860 0.0433 0.0007 0.5300 21 9.344 10.000 0.4860 0.0433 0.0007 0.5300 Scattering Coefficients of Individual Components at 685.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0007 0.4037 0.0000 0.4044 3 0.934 1.000 0.0007 0.4037 0.0000 0.4044 5 1.869 2.000 0.0007 0.4037 0.0000 0.4044 7 2.803 3.000 0.0007 0.4037 0.0000 0.4044 9 3.738 4.000 0.0007 0.4037 0.0000 0.4044 11 4.672 5.000 0.0007 0.4037 0.0000 0.4044 13 5.607 6.000 0.0007 0.4037 0.0000 0.4044 15 6.541 7.000 0.0007 0.4037 0.0000 0.4044 17 7.475 8.000 0.0007 0.4037 0.0000 0.4044 19 8.410 9.000 0.0007 0.4037 0.0000 0.4044 21 9.344 10.000 0.0007 0.4037 0.0000 0.4044 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 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00037 0.00404 0.00000 0.00441 3 0.934 1.000 0.00037 0.00404 0.00000 0.00441 5 1.869 2.000 0.00037 0.00404 0.00000 0.00441 7 2.803 3.000 0.00037 0.00404 0.00000 0.00441 9 3.738 4.000 0.00037 0.00404 0.00000 0.00441 11 4.672 5.000 0.00037 0.00404 0.00000 0.00441 13 5.607 6.000 0.00037 0.00404 0.00000 0.00441 15 6.541 7.000 0.00037 0.00404 0.00000 0.00441 17 7.475 8.000 0.00037 0.00404 0.00000 0.00441 19 8.410 9.000 0.00037 0.00404 0.00000 0.00441 21 9.344 10.000 0.00037 0.00404 0.00000 0.00441 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 0.5300 0.4044 0.9344 0.4328 0.00441 0.01090 3 0.934 1.000 0.5300 0.4044 0.9344 0.4328 0.00441 0.01090 5 1.869 2.000 0.5300 0.4044 0.9344 0.4328 0.00441 0.01090 7 2.803 3.000 0.5300 0.4044 0.9344 0.4328 0.00441 0.01090 9 3.738 4.000 0.5300 0.4044 0.9344 0.4328 0.00441 0.01090 11 4.672 5.000 0.5300 0.4044 0.9344 0.4328 0.00441 0.01090 13 5.607 6.000 0.5300 0.4044 0.9344 0.4328 0.00441 0.01090 15 6.541 7.000 0.5300 0.4044 0.9344 0.4328 0.00441 0.01090 17 7.475 8.000 0.5300 0.4044 0.9344 0.4328 0.00441 0.01090 19 8.410 9.000 0.5300 0.4044 0.9344 0.4328 0.00441 0.01090 21 9.344 10.000 0.5300 0.4044 0.9344 0.4328 0.00441 0.01090 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 7.8729E-01 8 20.00 4.2584E-01 7 30.00 1.7663E-01 6 40.00 6.4772E-02 5 50.00 2.3819E-02 4 60.00 9.5706E-03 3 70.00 4.3550E-03 2 80.00 2.2511E-03 1 87.50 1.4724E-03 1 92.50 1.1382E-03 2 100.00 8.2903E-04 3 110.00 5.8926E-04 4 120.00 4.5727E-04 5 130.00 3.8404E-04 6 140.00 3.4355E-04 7 150.00 3.2163E-04 8 160.00 3.1029E-04 9 170.00 3.0500E-04 10 180.00 3.0323E-04 Asymptotic AOP values are MUu(inf) = 0.3795 MUd(inf) = 0.8934 MU(inf) = 0.8849 R(inf) = 0.0029 Lu(inf)/Ed(inf) = 0.000663 (1/sr) k(inf) = 0.5990 (1/m) absorp(check) = 0.5300 = 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 9.6007E-02 1.5163E+00 1.6123E+00 4.0441E-02 1.2569E+00 0.4212 0.8289 0.7545 3.2175E-02 1 0.00 0.00 2.0768E-02 1.2960E+00 1.3168E+00 9.3153E-03 1.2258E+00 0.4485 0.9458 0.9238 7.5996E-03 3 0.93 1.00 1.5570E-02 7.4842E-01 7.6400E-01 7.0715E-03 6.9920E-01 0.4542 0.9342 0.9059 1.0114E-02 5 1.87 2.00 1.2012E-02 4.3010E-01 4.4211E-01 5.5335E-03 3.9795E-01 0.4606 0.9253 0.8876 1.3905E-02 7 2.80 3.00 9.5466E-03 2.4738E-01 2.5693E-01 4.4514E-03 2.2652E-01 0.4663 0.9157 0.8643 1.9651E-02 9 3.74 4.00 7.7741E-03 1.4293E-01 1.5071E-01 3.6593E-03 1.2922E-01 0.4707 0.9040 0.8331 2.8319E-02 11 4.67 5.00 6.4501E-03 8.3299E-02 8.9749E-02 3.0572E-03 7.4057E-02 0.4740 0.8891 0.7911 4.1282E-02 13 5.61 6.00 5.4238E-03 4.9211E-02 5.4635E-02 2.5834E-03 4.2782E-02 0.4763 0.8694 0.7358 6.0384E-02 15 6.54 7.00 4.6036E-03 2.9677E-02 3.4281E-02 2.2000E-03 2.5040E-02 0.4779 0.8437 0.6663 8.7858E-02 17 7.48 8.00 3.9299E-03 1.8408E-02 2.2338E-02 1.8821E-03 1.4938E-02 0.4789 0.8115 0.5845 1.2599E-01 19 8.41 9.00 3.3685E-03 1.1838E-02 1.5207E-02 1.6155E-03 9.1526E-03 0.4796 0.7731 0.4956 1.7651E-01 21 9.34 10.00 2.8940E-03 7.9461E-03 1.0840E-02 1.3892E-03 5.8064E-03 0.4800 0.7307 0.4075 2.3925E-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 0.30187 0.54389 0.54007 0.29053 0.55900 0.56106 0.28138 1.000 1.010 1.005 0.27546 0.55295 0.54729 0.26075 0.56299 0.56609 0.24830 2.000 2.010 2.005 0.24434 0.55413 0.54570 0.23079 0.56387 0.56857 0.21955 3.000 3.010 3.005 0.21681 0.55139 0.53894 0.20587 0.56276 0.56993 0.19697 4.000 4.010 4.005 0.19533 0.54494 0.52687 0.18711 0.55946 0.57033 0.18047 5.000 5.010 5.005 0.17948 0.53392 0.50840 0.17357 0.55321 0.56959 0.16886 6.000 6.010 6.005 0.16833 0.51700 0.48233 0.16421 0.54291 0.56729 0.16102 7.000 7.010 7.005 0.16054 0.49283 0.44814 0.15784 0.52714 0.56279 0.15588 8.000 8.010 8.005 0.15600 0.46057 0.40692 0.15418 0.50442 0.55501 0.15285 9.000 9.010 9.005 0.15296 0.42069 0.36132 0.15180 0.47366 0.54278 0.15100 10.000 10.010 10.005 0.15135 0.37550 0.31561 0.15053 0.43489 0.52449 0.15001 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 685.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 2.99060E-01 1.40029E-03 4.84750E-02 4.98753E-02 1.11410E-03 0.162092 9 1 10.0 0.0 180.0 1.31116E-01 1.41594E-03 2.08793E-02 2.22952E-02 1.12655E-03 0.159243 9 4 10.0 45.0 135.0 1.46564E-01 1.41086E-03 2.40863E-02 2.54971E-02 1.12251E-03 0.164339 9 7 10.0 90.0 90.0 2.04610E-01 1.40896E-03 3.65914E-02 3.80003E-02 1.12100E-03 0.178835 8 1 20.0 0.0 180.0 7.83833E-02 1.42029E-03 6.52945E-03 7.94974E-03 1.13001E-03 0.083302 8 4 20.0 45.0 135.0 8.74670E-02 1.40791E-03 8.50564E-03 9.91355E-03 1.12016E-03 0.097244 8 7 20.0 90.0 90.0 1.22920E-01 1.40766E-03 1.75343E-02 1.89420E-02 1.11996E-03 0.142649 7 1 30.0 0.0 180.0 5.52284E-02 1.43015E-03 2.01397E-03 3.44411E-03 1.13785E-03 0.036466 7 4 30.0 45.0 135.0 6.03124E-02 1.43065E-03 2.60707E-03 4.03772E-03 1.13825E-03 0.043226 7 7 30.0 90.0 90.0 7.92833E-02 1.42325E-03 5.67943E-03 7.10268E-03 1.13236E-03 0.071635 6 1 40.0 0.0 180.0 4.53684E-02 1.42806E-03 1.33443E-03 2.76250E-03 1.13619E-03 0.029413 6 4 40.0 45.0 135.0 4.85751E-02 1.42716E-03 1.47238E-03 2.89954E-03 1.13547E-03 0.030311 6 7 40.0 90.0 90.0 5.96300E-02 1.42018E-03 2.18647E-03 3.60664E-03 1.12992E-03 0.036667 5 1 50.0 0.0 180.0 4.20213E-02 1.43511E-03 1.69927E-03 3.13438E-03 1.14180E-03 0.040438 5 4 50.0 45.0 135.0 4.43819E-02 1.42627E-03 1.79192E-03 3.21819E-03 1.13476E-03 0.040375 5 7 50.0 90.0 90.0 5.19648E-02 1.41847E-03 2.13012E-03 3.54859E-03 1.12856E-03 0.040992 4 1 60.0 0.0 180.0 4.35856E-02 1.40338E-03 3.34534E-03 4.74873E-03 1.11656E-03 0.076753 4 4 60.0 45.0 135.0 4.54703E-02 1.39228E-03 3.44912E-03 4.84140E-03 1.10772E-03 0.075854 4 7 60.0 90.0 90.0 5.14454E-02 1.39800E-03 3.86610E-03 5.26409E-03 1.11227E-03 0.075150 3 1 70.0 0.0 180.0 5.22716E-02 1.29195E-03 8.36479E-03 9.65674E-03 1.02790E-03 0.160025 3 4 70.0 45.0 135.0 5.36532E-02 1.29422E-03 8.56409E-03 9.85830E-03 1.02970E-03 0.159619 3 7 70.0 90.0 90.0 5.85134E-02 1.29376E-03 9.31621E-03 1.06100E-02 1.02934E-03 0.159215 2 1 80.0 0.0 180.0 7.79497E-02 1.09877E-03 1.98711E-02 2.09699E-02 8.74202E-04 0.254922 2 4 80.0 45.0 135.0 7.83258E-02 1.09649E-03 2.06244E-02 2.17209E-02 8.72389E-04 0.263315 2 7 80.0 90.0 90.0 8.14382E-02 1.09187E-03 2.20806E-02 2.31724E-02 8.68708E-04 0.271133 1 1 87.5 0.0 180.0 1.17511E-01 8.79257E-04 3.46246E-02 3.55039E-02 6.99553E-04 0.294649 1 4 87.5 45.0 135.0 1.16104E-01 8.34345E-04 3.69521E-02 3.77864E-02 6.63820E-04 0.318267 1 7 87.5 90.0 90.0 1.15888E-01 9.14325E-04 3.89497E-02 3.98640E-02 7.27453E-04 0.336097 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 4.988E-02 2.991E-01 7.651E-02 7.788E-02 8.338E-02 3.968E-02 8.108E-01 1.400E-03 1.114E-03 1 0.00 0.00 2.599E-03 5.225E+00 4.610E-03 4.959E-03 5.332E-03 2.121E-03 3.584E+00 3 0.93 1.00 1.995E-03 2.879E+00 3.284E-03 3.539E-03 3.963E-03 2.854E-03 3.544E+00 5 1.87 2.00 1.580E-03 1.582E+00 2.445E-03 2.598E-03 2.852E-03 3.970E-03 3.502E+00 7 2.80 3.00 1.284E-03 8.681E-01 1.880E-03 1.969E-03 2.117E-03 5.667E-03 3.468E+00 9 3.74 4.00 1.063E-03 4.756E-01 1.490E-03 1.541E-03 1.626E-03 8.230E-03 3.441E+00 11 4.67 5.00 8.934E-04 2.604E-01 1.212E-03 1.240E-03 1.289E-03 1.206E-02 3.422E+00 13 5.61 6.00 7.578E-04 1.425E-01 1.004E-03 1.020E-03 1.047E-03 1.771E-02 3.409E+00 15 6.54 7.00 6.470E-04 7.812E-02 8.433E-04 8.525E-04 8.677E-04 2.584E-02 3.400E+00 17 7.48 8.00 5.544E-04 4.292E-02 7.151E-04 7.202E-04 7.287E-04 3.711E-02 3.395E+00 19 8.41 9.00 4.764E-04 2.367E-02 6.102E-04 6.131E-04 6.178E-04 5.205E-02 3.391E+00 21 9.34 10.00 4.099E-04 1.315E-02 5.228E-04 5.244E-04 5.270E-04 7.059E-02 3.389E+00 Waveband 34 of 40 completed in 3.9 sec. * * * * * Output for wavelength band 35 (690.0 to 700.0 nm; nominal wavelength = 695.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 30.3 m at 695.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 690.0 nm to 700.0 nm: Ed(diffuse) = 2.711E-01 Ed(direct) = 9.427E-01 Ed(total) = 1.214E+00 Absorption Coefficients of Individual Components at 695.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.5590 0.0268 0.0006 0.5864 3 0.985 1.000 0.5590 0.0268 0.0006 0.5864 5 1.970 2.000 0.5590 0.0268 0.0006 0.5864 7 2.955 3.000 0.5590 0.0268 0.0006 0.5864 9 3.940 4.000 0.5590 0.0268 0.0006 0.5864 11 4.925 5.000 0.5590 0.0268 0.0006 0.5864 13 5.910 6.000 0.5590 0.0268 0.0006 0.5864 15 6.895 7.000 0.5590 0.0268 0.0006 0.5864 17 7.880 8.000 0.5590 0.0268 0.0006 0.5864 19 8.865 9.000 0.5590 0.0268 0.0006 0.5864 21 9.850 10.000 0.5590 0.0268 0.0006 0.5864 Scattering Coefficients of Individual Components at 695.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0007 0.3979 0.0000 0.3986 3 0.985 1.000 0.0007 0.3979 0.0000 0.3986 5 1.970 2.000 0.0007 0.3979 0.0000 0.3986 7 2.955 3.000 0.0007 0.3979 0.0000 0.3986 9 3.940 4.000 0.0007 0.3979 0.0000 0.3986 11 4.925 5.000 0.0007 0.3979 0.0000 0.3986 13 5.910 6.000 0.0007 0.3979 0.0000 0.3986 15 6.895 7.000 0.0007 0.3979 0.0000 0.3986 17 7.880 8.000 0.0007 0.3979 0.0000 0.3986 19 8.865 9.000 0.0007 0.3979 0.0000 0.3986 21 9.850 10.000 0.0007 0.3979 0.0000 0.3986 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 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00035 0.00398 0.00000 0.00433 3 0.985 1.000 0.00035 0.00398 0.00000 0.00433 5 1.970 2.000 0.00035 0.00398 0.00000 0.00433 7 2.955 3.000 0.00035 0.00398 0.00000 0.00433 9 3.940 4.000 0.00035 0.00398 0.00000 0.00433 11 4.925 5.000 0.00035 0.00398 0.00000 0.00433 13 5.910 6.000 0.00035 0.00398 0.00000 0.00433 15 6.895 7.000 0.00035 0.00398 0.00000 0.00433 17 7.880 8.000 0.00035 0.00398 0.00000 0.00433 19 8.865 9.000 0.00035 0.00398 0.00000 0.00433 21 9.850 10.000 0.00035 0.00398 0.00000 0.00433 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 0.5864 0.3986 0.9850 0.4047 0.00433 0.01086 3 0.985 1.000 0.5864 0.3986 0.9850 0.4047 0.00433 0.01086 5 1.970 2.000 0.5864 0.3986 0.9850 0.4047 0.00433 0.01086 7 2.955 3.000 0.5864 0.3986 0.9850 0.4047 0.00433 0.01086 9 3.940 4.000 0.5864 0.3986 0.9850 0.4047 0.00433 0.01086 11 4.925 5.000 0.5864 0.3986 0.9850 0.4047 0.00433 0.01086 13 5.910 6.000 0.5864 0.3986 0.9850 0.4047 0.00433 0.01086 15 6.895 7.000 0.5864 0.3986 0.9850 0.4047 0.00433 0.01086 17 7.880 8.000 0.5864 0.3986 0.9850 0.4047 0.00433 0.01086 19 8.865 9.000 0.5864 0.3986 0.9850 0.4047 0.00433 0.01086 21 9.850 10.000 0.5864 0.3986 0.9850 0.4047 0.00433 0.01086 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 7.7183E-01 8 20.00 3.9851E-01 7 30.00 1.5645E-01 6 40.00 5.4734E-02 5 50.00 1.9527E-02 4 60.00 7.7391E-03 3 70.00 3.5095E-03 2 80.00 1.8153E-03 1 87.50 1.1891E-03 1 92.50 9.2115E-04 2 100.00 6.7209E-04 3 110.00 4.7878E-04 4 120.00 3.7257E-04 5 130.00 3.1383E-04 6 140.00 2.8152E-04 7 150.00 2.6419E-04 8 160.00 2.5533E-04 9 170.00 2.5125E-04 10 180.00 2.4988E-04 Asymptotic AOP values are MUu(inf) = 0.3809 MUd(inf) = 0.9000 MU(inf) = 0.8924 R(inf) = 0.0026 Lu(inf)/Ed(inf) = 0.000586 (1/sr) k(inf) = 0.6571 (1/m) absorp(check) = 0.5865 = 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 9.0153E-02 1.4631E+00 1.5532E+00 3.7810E-02 1.2138E+00 0.4194 0.8297 0.7572 3.1149E-02 1 0.00 0.00 1.4684E-02 1.2473E+00 1.2620E+00 6.4940E-03 1.1825E+00 0.4422 0.9481 0.9319 5.4916E-03 3 0.98 1.00 1.0400E-02 6.7712E-01 6.8752E-01 4.6755E-03 6.3518E-01 0.4495 0.9381 0.9171 7.3608E-03 5 1.97 2.00 7.6863E-03 3.6574E-01 3.7343E-01 3.5210E-03 3.4037E-01 0.4581 0.9306 0.9020 1.0345E-02 7 2.95 3.00 5.9324E-03 1.9771E-01 2.0364E-01 2.7614E-03 1.8239E-01 0.4655 0.9225 0.8821 1.5141E-02 9 3.94 4.00 4.7452E-03 1.0735E-01 1.1210E-01 2.2359E-03 9.7926E-02 0.4712 0.9122 0.8536 2.2833E-02 11 4.92 5.00 3.8973E-03 5.8822E-02 6.2719E-02 1.8524E-03 5.2829E-02 0.4753 0.8981 0.8128 3.5063E-02 13 5.91 6.00 3.2603E-03 3.2728E-02 3.5989E-02 1.5586E-03 2.8753E-02 0.4781 0.8785 0.7556 5.4207E-02 15 6.89 7.00 2.7607E-03 1.8652E-02 2.1413E-02 1.3247E-03 1.5883E-02 0.4798 0.8516 0.6799 8.3405E-02 17 7.88 8.00 2.3556E-03 1.1005E-02 1.3361E-02 1.1330E-03 8.9790E-03 0.4810 0.8159 0.5872 1.2618E-01 19 8.86 9.00 2.0194E-03 6.8014E-03 8.8208E-03 9.7266E-04 5.2505E-03 0.4817 0.7720 0.4850 1.8525E-01 21 9.85 10.00 1.7357E-03 4.4440E-03 6.1797E-03 8.3672E-04 3.2128E-03 0.4821 0.7230 0.3845 2.6043E-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 0.36225 0.60459 0.60176 0.34958 0.61896 0.62045 0.33756 1.000 1.010 1.005 0.32593 0.61490 0.61052 0.30650 0.62319 0.62554 0.28944 2.000 2.010 2.005 0.27998 0.61613 0.60920 0.26206 0.62420 0.62799 0.24685 3.000 3.010 3.005 0.23989 0.61351 0.60260 0.22563 0.62328 0.62940 0.21374 4.000 4.010 4.005 0.20888 0.60695 0.59007 0.19844 0.62005 0.62992 0.18990 5.000 5.010 5.005 0.18672 0.59507 0.56965 0.17954 0.61349 0.62929 0.17375 6.000 6.010 6.005 0.17179 0.57576 0.53910 0.16705 0.60200 0.62698 0.16329 7.000 7.010 7.005 0.16217 0.54663 0.49698 0.15912 0.58339 0.62209 0.15677 8.000 8.010 8.005 0.15617 0.50599 0.44422 0.15429 0.55521 0.61324 0.15289 9.000 9.010 9.005 0.15267 0.45430 0.38517 0.15150 0.51552 0.59848 0.15070 10.000 10.010 10.005 0.15084 0.39534 0.32660 0.15009 0.46440 0.57531 0.14960 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 695.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 2.87123E-01 9.67138E-04 4.68649E-02 4.78320E-02 7.96759E-04 0.163222 9 1 10.0 0.0 180.0 1.25883E-01 9.78569E-04 2.01775E-02 2.11561E-02 8.06176E-04 0.160288 9 4 10.0 45.0 135.0 1.40715E-01 9.74811E-04 2.32785E-02 2.42533E-02 8.03080E-04 0.165430 9 7 10.0 90.0 90.0 1.96440E-01 9.72919E-04 3.53716E-02 3.63445E-02 8.01522E-04 0.180063 8 1 20.0 0.0 180.0 7.52548E-02 9.81685E-04 6.30220E-03 7.28389E-03 8.08744E-04 0.083745 8 4 20.0 45.0 135.0 8.39759E-02 9.72723E-04 8.21244E-03 9.18516E-03 8.01360E-04 0.097795 8 7 20.0 90.0 90.0 1.18013E-01 9.71656E-04 1.69420E-02 1.79137E-02 8.00481E-04 0.143560 7 1 30.0 0.0 180.0 5.30241E-02 9.88472E-04 1.93779E-03 2.92626E-03 8.14335E-04 0.036546 7 4 30.0 45.0 135.0 5.79051E-02 9.88281E-04 2.51050E-03 3.49878E-03 8.14178E-04 0.043355 7 7 30.0 90.0 90.0 7.61189E-02 9.82018E-04 5.47896E-03 6.46098E-03 8.09018E-04 0.071979 6 1 40.0 0.0 180.0 4.35576E-02 9.86847E-04 1.28139E-03 2.26823E-03 8.12996E-04 0.029418 6 4 40.0 45.0 135.0 4.66363E-02 9.85593E-04 1.41409E-03 2.39969E-03 8.11963E-04 0.030322 6 7 40.0 90.0 90.0 5.72500E-02 9.79499E-04 2.10219E-03 3.08169E-03 8.06942E-04 0.036719 5 1 50.0 0.0 180.0 4.03441E-02 9.91730E-04 1.63148E-03 2.62321E-03 8.17019E-04 0.040439 5 4 50.0 45.0 135.0 4.26105E-02 9.85005E-04 1.72040E-03 2.70540E-03 8.11478E-04 0.040375 5 7 50.0 90.0 90.0 4.98907E-02 9.78500E-04 2.04524E-03 3.02374E-03 8.06120E-04 0.040994 4 1 60.0 0.0 180.0 4.18460E-02 9.69981E-04 3.21182E-03 4.18180E-03 7.99101E-04 0.076753 4 4 60.0 45.0 135.0 4.36555E-02 9.61759E-04 3.31146E-03 4.27322E-03 7.92328E-04 0.075854 4 7 60.0 90.0 90.0 4.93920E-02 9.64861E-04 3.71179E-03 4.67665E-03 7.94883E-04 0.075150 3 1 70.0 0.0 180.0 5.01853E-02 8.93607E-04 8.03093E-03 8.92453E-03 7.36182E-04 0.160025 3 4 70.0 45.0 135.0 5.15117E-02 8.94809E-04 8.22227E-03 9.11708E-03 7.37172E-04 0.159619 3 7 70.0 90.0 90.0 5.61780E-02 8.94186E-04 8.94437E-03 9.83856E-03 7.36659E-04 0.159215 2 1 80.0 0.0 180.0 7.48385E-02 7.60753E-04 1.90780E-02 1.98388E-02 6.26733E-04 0.254922 2 4 80.0 45.0 135.0 7.51996E-02 7.59013E-04 1.98012E-02 2.05602E-02 6.25299E-04 0.263315 2 7 80.0 90.0 90.0 7.81878E-02 7.55970E-04 2.11993E-02 2.19552E-02 6.22792E-04 0.271133 1 1 87.5 0.0 180.0 1.12821E-01 6.09711E-04 3.32426E-02 3.38524E-02 5.02300E-04 0.294649 1 4 87.5 45.0 135.0 1.11470E-01 5.78566E-04 3.54772E-02 3.60558E-02 4.76641E-04 0.318267 1 7 87.5 90.0 90.0 1.11263E-01 6.34640E-04 3.73951E-02 3.80297E-02 5.22836E-04 0.336097 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 4.783E-02 2.871E-01 7.334E-02 7.465E-02 7.993E-02 3.941E-02 7.905E-01 9.671E-04 7.968E-04 1 0.00 0.00 1.795E-03 5.051E+00 3.338E-03 3.639E-03 3.968E-03 1.518E-03 3.617E+00 3 0.98 1.00 1.312E-03 2.633E+00 2.254E-03 2.462E-03 2.808E-03 2.066E-03 3.562E+00 5 1.97 2.00 1.005E-03 1.368E+00 1.590E-03 1.706E-03 1.900E-03 2.951E-03 3.505E+00 7 2.95 3.00 7.986E-04 7.099E-01 1.175E-03 1.239E-03 1.345E-03 4.378E-03 3.458E+00 9 3.94 4.00 6.531E-04 3.678E-01 9.077E-04 9.420E-04 9.994E-04 6.670E-03 3.423E+00 11 4.92 5.00 5.449E-04 1.904E-01 7.267E-04 7.451E-04 7.757E-04 1.031E-02 3.399E+00 13 5.91 6.00 4.606E-04 9.855E-02 5.973E-04 6.070E-04 6.233E-04 1.602E-02 3.384E+00 15 6.89 7.00 3.927E-04 5.107E-02 4.998E-04 5.050E-04 5.136E-04 2.472E-02 3.374E+00 17 7.88 8.00 3.364E-04 2.653E-02 4.233E-04 4.260E-04 4.305E-04 3.747E-02 3.368E+00 19 8.86 9.00 2.891E-04 1.385E-02 3.612E-04 3.626E-04 3.650E-04 5.506E-02 3.364E+00 21 9.85 10.00 2.488E-04 7.293E-03 3.096E-04 3.104E-04 3.116E-04 7.745E-02 3.363E+00 Waveband 35 of 40 completed in 3.9 sec. * * * * * Output for wavelength band 36 (700.0 to 710.0 nm; nominal wavelength = 705.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 28.0 m at 705.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 700.0 nm to 710.0 nm: Ed(diffuse) = 2.710E-01 Ed(direct) = 9.491E-01 Ed(total) = 1.220E+00 Absorption Coefficients of Individual Components at 705.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.7040 0.0165 0.0005 0.7210 3 1.114 1.000 0.7040 0.0165 0.0005 0.7210 5 2.228 2.000 0.7040 0.0165 0.0005 0.7210 7 3.342 3.000 0.7040 0.0165 0.0005 0.7210 9 4.456 4.000 0.7040 0.0165 0.0005 0.7210 11 5.570 5.000 0.7040 0.0165 0.0005 0.7210 13 6.683 6.000 0.7040 0.0165 0.0005 0.7210 15 7.797 7.000 0.7040 0.0165 0.0005 0.7210 17 8.911 8.000 0.7040 0.0165 0.0005 0.7210 19 10.025 9.000 0.7040 0.0165 0.0005 0.7210 21 11.139 10.000 0.7040 0.0165 0.0005 0.7210 Scattering Coefficients of Individual Components at 705.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0007 0.3923 0.0000 0.3929 3 1.114 1.000 0.0007 0.3923 0.0000 0.3929 5 2.228 2.000 0.0007 0.3923 0.0000 0.3929 7 3.342 3.000 0.0007 0.3923 0.0000 0.3929 9 4.456 4.000 0.0007 0.3923 0.0000 0.3929 11 5.570 5.000 0.0007 0.3923 0.0000 0.3929 13 6.683 6.000 0.0007 0.3923 0.0000 0.3929 15 7.797 7.000 0.0007 0.3923 0.0000 0.3929 17 8.911 8.000 0.0007 0.3923 0.0000 0.3929 19 10.025 9.000 0.0007 0.3923 0.0000 0.3929 21 11.139 10.000 0.0007 0.3923 0.0000 0.3929 Backscattering Coefficients of Individual Components at 705.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00033 0.00392 0.00000 0.00425 3 1.114 1.000 0.00033 0.00392 0.00000 0.00425 5 2.228 2.000 0.00033 0.00392 0.00000 0.00425 7 3.342 3.000 0.00033 0.00392 0.00000 0.00425 9 4.456 4.000 0.00033 0.00392 0.00000 0.00425 11 5.570 5.000 0.00033 0.00392 0.00000 0.00425 13 6.683 6.000 0.00033 0.00392 0.00000 0.00425 15 7.797 7.000 0.00033 0.00392 0.00000 0.00425 17 8.911 8.000 0.00033 0.00392 0.00000 0.00425 19 10.025 9.000 0.00033 0.00392 0.00000 0.00425 21 11.139 10.000 0.00033 0.00392 0.00000 0.00425 Summary of Inherent Optical Properties at 705.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.7210 0.3929 1.1139 0.3527 0.00425 0.01082 3 1.114 1.000 0.7210 0.3929 1.1139 0.3527 0.00425 0.01082 5 2.228 2.000 0.7210 0.3929 1.1139 0.3527 0.00425 0.01082 7 3.342 3.000 0.7210 0.3929 1.1139 0.3527 0.00425 0.01082 9 4.456 4.000 0.7210 0.3929 1.1139 0.3527 0.00425 0.01082 11 5.570 5.000 0.7210 0.3929 1.1139 0.3527 0.00425 0.01082 13 6.683 6.000 0.7210 0.3929 1.1139 0.3527 0.00425 0.01082 15 7.797 7.000 0.7210 0.3929 1.1139 0.3527 0.00425 0.01082 17 8.911 8.000 0.7210 0.3929 1.1139 0.3527 0.00425 0.01082 19 10.025 9.000 0.7210 0.3929 1.1139 0.3527 0.00425 0.01082 21 11.139 10.000 0.7210 0.3929 1.1139 0.3527 0.00425 0.01082 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 7.3923E-01 8 20.00 3.4598E-01 7 30.00 1.2160E-01 6 40.00 3.8920E-02 5 50.00 1.3186E-02 4 60.00 5.1258E-03 3 70.00 2.3196E-03 2 80.00 1.2041E-03 1 87.50 7.9174E-04 1 92.50 6.1589E-04 2 100.00 4.5100E-04 3 110.00 3.2279E-04 4 120.00 2.5259E-04 5 130.00 2.1399E-04 6 140.00 1.9300E-04 7 150.00 1.8193E-04 8 160.00 1.7642E-04 9 170.00 1.7395E-04 10 180.00 1.7313E-04 Asymptotic AOP values are MUu(inf) = 0.3837 MUd(inf) = 0.9117 MU(inf) = 0.9056 R(inf) = 0.0020 Lu(inf)/Ed(inf) = 0.000465 (1/sr) k(inf) = 0.7962 (1/m) absorp(check) = 0.7211 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 705.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 8.7276E-02 1.4693E+00 1.5566E+00 3.6336E-02 1.2201E+00 0.4163 0.8304 0.7605 2.9782E-02 1 0.00 0.00 7.4482E-03 1.2478E+00 1.2553E+00 3.1299E-03 1.1869E+00 0.4202 0.9511 0.9430 2.6371E-03 3 1.11 1.00 4.2586E-03 5.8535E-01 5.8961E-01 1.8269E-03 5.5264E-01 0.4290 0.9441 0.9342 3.3058E-03 5 2.23 2.00 2.6214E-03 2.7306E-01 2.7568E-01 1.1600E-03 2.5662E-01 0.4425 0.9398 0.9266 4.5202E-03 7 3.34 3.00 1.7674E-03 1.2732E-01 1.2909E-01 8.0628E-04 1.1906E-01 0.4562 0.9351 0.9160 6.7723E-03 9 4.46 4.00 1.2953E-03 5.9503E-02 6.0798E-02 6.0556E-04 5.5267E-02 0.4675 0.9288 0.8991 1.0957E-02 11 5.57 5.00 1.0118E-03 2.7987E-02 2.8998E-02 4.8119E-04 2.5731E-02 0.4756 0.9194 0.8707 1.8701E-02 13 6.68 6.00 8.2504E-04 1.3339E-02 1.4164E-02 3.9656E-04 1.2065E-02 0.4807 0.9045 0.8238 3.2869E-02 15 7.80 7.00 6.9053E-04 6.5180E-03 7.2086E-03 3.3396E-04 5.7390E-03 0.4836 0.8805 0.7498 5.8192E-02 17 8.91 8.00 5.8664E-04 3.3233E-03 3.9100E-03 2.8469E-04 2.8031E-03 0.4853 0.8435 0.6441 1.0156E-01 19 10.03 9.00 5.0244E-04 1.8095E-03 2.3119E-03 2.4427E-04 1.4322E-03 0.4862 0.7915 0.5138 1.7056E-01 21 11.14 10.00 4.3210E-04 1.0756E-03 1.5077E-03 2.1026E-04 7.8349E-04 0.4866 0.7284 0.3802 2.6837E-01 K-functions (units of 1/meter) at 705.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.57553 0.74886 0.74783 0.56914 0.76153 0.76204 0.55675 1.000 1.010 1.005 0.52841 0.76124 0.75955 0.49963 0.76619 0.76708 0.47118 2.000 2.010 2.005 0.43991 0.76320 0.76012 0.40791 0.76777 0.76941 0.37805 3.000 3.010 3.005 0.34993 0.76233 0.75667 0.32174 0.76800 0.77105 0.29675 4.000 4.010 4.005 0.27535 0.75830 0.74799 0.25448 0.76643 0.77212 0.23671 5.000 5.010 5.005 0.22246 0.74905 0.73063 0.20884 0.76179 0.77236 0.19759 6.000 6.010 6.005 0.18895 0.73084 0.69920 0.18077 0.75169 0.77115 0.17421 7.000 7.010 7.005 0.16932 0.69812 0.64735 0.16467 0.73217 0.76734 0.16105 8.000 8.010 8.005 0.15841 0.64449 0.57141 0.15587 0.69744 0.75885 0.15398 9.000 9.010 9.005 0.15265 0.56666 0.47654 0.15130 0.64112 0.74214 0.15039 10.000 10.010 10.005 0.14992 0.47055 0.37856 0.14919 0.56045 0.71173 0.14876 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 705.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 2.87009E-01 4.47761E-04 4.71519E-02 4.75997E-02 3.66998E-04 0.164287 9 1 10.0 0.0 180.0 1.25833E-01 4.54272E-04 2.02934E-02 2.07476E-02 3.72335E-04 0.161273 9 4 10.0 45.0 135.0 1.40659E-01 4.52090E-04 2.34138E-02 2.38659E-02 3.70546E-04 0.166457 9 7 10.0 90.0 90.0 1.96360E-01 4.50190E-04 3.55843E-02 3.60345E-02 3.68989E-04 0.181220 8 1 20.0 0.0 180.0 7.52250E-02 4.56140E-04 6.33111E-03 6.78725E-03 3.73865E-04 0.084162 8 4 20.0 45.0 135.0 8.39426E-02 4.51268E-04 8.25276E-03 8.70402E-03 3.69872E-04 0.098314 8 7 20.0 90.0 90.0 1.17967E-01 4.49189E-04 1.70365E-02 1.74857E-02 3.68168E-04 0.144418 7 1 30.0 0.0 180.0 5.30030E-02 4.59549E-04 1.94099E-03 2.40054E-03 3.76660E-04 0.036620 7 4 30.0 45.0 135.0 5.78821E-02 4.58517E-04 2.51655E-03 2.97506E-03 3.75814E-04 0.043477 7 7 30.0 90.0 90.0 7.60887E-02 4.53578E-04 5.50146E-03 5.95504E-03 3.71766E-04 0.072303 6 1 40.0 0.0 180.0 4.35403E-02 4.58971E-04 1.28108E-03 1.74005E-03 3.76186E-04 0.029423 6 4 40.0 45.0 135.0 4.66178E-02 4.57283E-04 1.41399E-03 1.87127E-03 3.74802E-04 0.030331 6 7 40.0 90.0 90.0 5.72273E-02 4.52215E-04 2.10417E-03 2.55639E-03 3.70649E-04 0.036769 5 1 50.0 0.0 180.0 4.03281E-02 4.61753E-04 1.63086E-03 2.09261E-03 3.78466E-04 0.040440 5 4 50.0 45.0 135.0 4.25936E-02 4.57542E-04 1.71972E-03 2.17726E-03 3.75015E-04 0.040375 5 7 50.0 90.0 90.0 4.98709E-02 4.52540E-04 2.04455E-03 2.49709E-03 3.70915E-04 0.040997 4 1 60.0 0.0 180.0 4.18294E-02 4.52422E-04 3.21055E-03 3.66297E-03 3.70818E-04 0.076753 4 4 60.0 45.0 135.0 4.36382E-02 4.47623E-04 3.31014E-03 3.75777E-03 3.66885E-04 0.075854 4 7 60.0 90.0 90.0 4.93724E-02 4.47552E-04 3.71032E-03 4.15787E-03 3.66827E-04 0.075150 3 1 70.0 0.0 180.0 5.01654E-02 4.18402E-04 8.02774E-03 8.44614E-03 3.42935E-04 0.160025 3 4 70.0 45.0 135.0 5.14913E-02 4.18308E-04 8.21900E-03 8.63731E-03 3.42858E-04 0.159619 3 7 70.0 90.0 90.0 5.61557E-02 4.17455E-04 8.94082E-03 9.35828E-03 3.42158E-04 0.159215 2 1 80.0 0.0 180.0 7.48088E-02 3.57890E-04 1.90704E-02 1.94283E-02 2.93337E-04 0.254922 2 4 80.0 45.0 135.0 7.51697E-02 3.56776E-04 1.97933E-02 2.01501E-02 2.92424E-04 0.263315 2 7 80.0 90.0 90.0 7.81568E-02 3.55579E-04 2.11908E-02 2.15464E-02 2.91443E-04 0.271133 1 1 87.5 0.0 180.0 1.12776E-01 2.88738E-04 3.32294E-02 3.35182E-02 2.36658E-04 0.294649 1 4 87.5 45.0 135.0 1.11426E-01 2.73968E-04 3.54631E-02 3.57371E-02 2.24552E-04 0.318267 1 7 87.5 90.0 90.0 1.11219E-01 3.01541E-04 3.73802E-02 3.76817E-02 2.47151E-04 0.336097 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 705.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 4.760E-02 2.870E-01 7.315E-02 7.445E-02 7.974E-02 3.901E-02 7.634E-01 4.478E-04 3.670E-04 1 0.00 0.00 8.312E-04 5.082E+00 1.839E-03 2.085E-03 2.360E-03 7.004E-04 3.765E+00 3 1.11 1.00 4.962E-04 2.316E+00 1.031E-03 1.177E-03 1.420E-03 8.979E-04 3.682E+00 5 2.23 2.00 3.246E-04 1.052E+00 5.923E-04 6.627E-04 7.802E-04 1.265E-03 3.574E+00 7 3.34 3.00 2.319E-04 4.772E-01 3.706E-04 4.039E-04 4.594E-04 1.948E-03 3.476E+00 9 4.46 4.00 1.780E-04 2.160E-01 2.544E-04 2.699E-04 2.958E-04 3.220E-03 3.403E+00 11 5.57 5.00 1.434E-04 9.763E-02 1.892E-04 1.964E-04 2.083E-04 5.575E-03 3.355E+00 13 6.68 6.00 1.192E-04 4.411E-02 1.493E-04 1.526E-04 1.581E-04 9.884E-03 3.326E+00 15 7.80 7.00 1.009E-04 1.994E-02 1.225E-04 1.241E-04 1.266E-04 1.758E-02 3.309E+00 17 8.91 8.00 8.625E-05 9.038E-03 1.029E-04 1.036E-04 1.048E-04 3.077E-02 3.301E+00 19 10.03 9.00 7.410E-05 4.118E-03 8.763E-05 8.795E-05 8.846E-05 5.174E-02 3.297E+00 21 11.14 10.00 6.382E-05 1.897E-03 7.513E-05 7.527E-05 7.550E-05 8.145E-02 3.295E+00 Waveband 36 of 40 completed in 4.2 sec. * * * * * Output for wavelength band 37 (710.0 to 720.0 nm; nominal wavelength = 715.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 24.3 m at 715.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 710.0 nm to 720.0 nm: Ed(diffuse) = 2.478E-01 Ed(direct) = 8.736E-01 Ed(total) = 1.121E+00 Absorption Coefficients of Individual Components at 715.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 1.0070 0.0072 0.0004 1.0147 3 1.402 1.000 1.0070 0.0072 0.0004 1.0147 5 2.804 2.000 1.0070 0.0072 0.0004 1.0147 7 4.206 3.000 1.0070 0.0072 0.0004 1.0147 9 5.608 4.000 1.0070 0.0072 0.0004 1.0147 11 7.010 5.000 1.0070 0.0072 0.0004 1.0147 13 8.412 6.000 1.0070 0.0072 0.0004 1.0147 15 9.814 7.000 1.0070 0.0072 0.0004 1.0147 17 11.216 8.000 1.0070 0.0072 0.0004 1.0147 19 12.618 9.000 1.0070 0.0072 0.0004 1.0147 21 14.020 10.000 1.0070 0.0072 0.0004 1.0147 Scattering Coefficients of Individual Components at 715.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0006 0.3868 0.0000 0.3874 3 1.402 1.000 0.0006 0.3868 0.0000 0.3874 5 2.804 2.000 0.0006 0.3868 0.0000 0.3874 7 4.206 3.000 0.0006 0.3868 0.0000 0.3874 9 5.608 4.000 0.0006 0.3868 0.0000 0.3874 11 7.010 5.000 0.0006 0.3868 0.0000 0.3874 13 8.412 6.000 0.0006 0.3868 0.0000 0.3874 15 9.814 7.000 0.0006 0.3868 0.0000 0.3874 17 11.216 8.000 0.0006 0.3868 0.0000 0.3874 19 12.618 9.000 0.0006 0.3868 0.0000 0.3874 21 14.020 10.000 0.0006 0.3868 0.0000 0.3874 Backscattering Coefficients of Individual Components at 715.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00031 0.00387 0.00000 0.00418 3 1.402 1.000 0.00031 0.00387 0.00000 0.00418 5 2.804 2.000 0.00031 0.00387 0.00000 0.00418 7 4.206 3.000 0.00031 0.00387 0.00000 0.00418 9 5.608 4.000 0.00031 0.00387 0.00000 0.00418 11 7.010 5.000 0.00031 0.00387 0.00000 0.00418 13 8.412 6.000 0.00031 0.00387 0.00000 0.00418 15 9.814 7.000 0.00031 0.00387 0.00000 0.00418 17 11.216 8.000 0.00031 0.00387 0.00000 0.00418 19 12.618 9.000 0.00031 0.00387 0.00000 0.00418 21 14.020 10.000 0.00031 0.00387 0.00000 0.00418 Summary of Inherent Optical Properties at 715.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 1.0147 0.3874 1.4020 0.2763 0.00418 0.01078 3 1.402 1.000 1.0147 0.3874 1.4020 0.2763 0.00418 0.01078 5 2.804 2.000 1.0147 0.3874 1.4020 0.2763 0.00418 0.01078 7 4.206 3.000 1.0147 0.3874 1.4020 0.2763 0.00418 0.01078 9 5.608 4.000 1.0147 0.3874 1.4020 0.2763 0.00418 0.01078 11 7.010 5.000 1.0147 0.3874 1.4020 0.2763 0.00418 0.01078 13 8.412 6.000 1.0147 0.3874 1.4020 0.2763 0.00418 0.01078 15 9.814 7.000 1.0147 0.3874 1.4020 0.2763 0.00418 0.01078 17 11.216 8.000 1.0147 0.3874 1.4020 0.2763 0.00418 0.01078 19 12.618 9.000 1.0147 0.3874 1.4020 0.2763 0.00418 0.01078 21 14.020 10.000 1.0147 0.3874 1.4020 0.2763 0.00418 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 6.7726E-01 8 20.00 2.6328E-01 7 30.00 7.6482E-02 6 40.00 2.1397E-02 5 50.00 6.8082E-03 4 60.00 2.6096E-03 3 70.00 1.1875E-03 2 80.00 6.2212E-04 1 87.50 4.1182E-04 1 92.50 3.2237E-04 2 100.00 2.3739E-04 3 110.00 1.7113E-04 4 120.00 1.3502E-04 5 130.00 1.1536E-04 6 140.00 1.0486E-04 7 150.00 9.9491E-05 8 160.00 9.6931E-05 9 170.00 9.5843E-05 10 180.00 9.5489E-05 Asymptotic AOP values are MUu(inf) = 0.3880 MUd(inf) = 0.9280 MU(inf) = 0.9238 R(inf) = 0.0014 Lu(inf)/Ed(inf) = 0.000323 (1/sr) k(inf) = 1.0985 (1/m) absorp(check) = 1.0148 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 715.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 7.8784E-02 1.3494E+00 1.4282E+00 3.2733E-02 1.1214E+00 0.4155 0.8310 0.7623 2.9189E-02 1 0.00 0.00 3.7775E-03 1.1444E+00 1.1482E+00 1.5217E-03 1.0902E+00 0.4028 0.9526 0.9482 1.3958E-03 3 1.40 1.00 1.4300E-03 3.9320E-01 3.9463E-01 5.8497E-04 3.7325E-01 0.4091 0.9493 0.9443 1.5672E-03 5 2.80 2.00 5.9565E-04 1.3463E-01 1.3522E-01 2.5322E-04 1.2758E-01 0.4251 0.9476 0.9416 1.9849E-03 7 4.21 3.00 2.9551E-04 4.6096E-02 4.6392E-02 1.3251E-04 4.3575E-02 0.4484 0.9453 0.9364 3.0410E-03 9 5.61 4.00 1.8062E-04 1.5815E-02 1.5996E-02 8.5114E-05 1.4889E-02 0.4712 0.9414 0.9254 5.7167E-03 11 7.01 5.00 1.3081E-04 5.4655E-03 5.5963E-03 6.3633E-05 5.1039E-03 0.4864 0.9338 0.9006 1.2468E-02 13 8.41 6.00 1.0467E-04 1.9275E-03 2.0321E-03 5.1712E-05 1.7688E-03 0.4941 0.9177 0.8450 2.9235E-02 15 9.81 7.00 8.7793E-05 7.1435E-04 8.0214E-04 4.3656E-05 6.3091E-04 0.4973 0.8832 0.7321 6.9195E-02 17 11.22 8.00 7.5117E-05 2.9434E-04 3.6946E-04 3.7438E-05 2.4082E-04 0.4984 0.8182 0.5505 1.5546E-01 19 12.62 9.00 6.4767E-05 1.4497E-04 2.0973E-04 3.2298E-05 1.0509E-04 0.4987 0.7249 0.3470 3.0735E-01 21 14.02 10.00 5.5988E-05 8.8351E-05 1.4434E-04 2.7917E-05 5.6031E-05 0.4986 0.6342 0.1948 4.9824E-01 K-functions (units of 1/meter) at 715.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.98142 1.06109 1.06083 0.98362 1.06959 1.06971 0.97660 1.000 1.010 1.005 0.93862 1.07131 1.07083 0.91022 1.07301 1.07327 0.87253 2.000 2.010 2.005 0.79880 1.07199 1.07078 0.75062 1.07396 1.07460 0.69262 3.000 3.010 3.005 0.59534 1.07122 1.06818 0.54017 1.07431 1.07594 0.48120 4.000 4.010 4.005 0.39573 1.06738 1.05977 0.35414 1.07295 1.07709 0.31443 5.000 5.010 5.005 0.26172 1.05548 1.03685 0.23919 1.06697 1.07746 0.21956 6.000 6.010 6.005 0.19324 1.02407 0.98111 0.18325 1.04951 1.07572 0.17546 7.000 7.010 7.005 0.16322 0.95080 0.86430 0.15936 1.00546 1.06864 0.15705 8.000 8.010 8.005 0.15120 0.80776 0.67392 0.14993 0.90832 1.04855 0.14988 9.000 9.010 9.005 0.14678 0.59975 0.45965 0.14655 0.73598 0.99864 0.14736 10.000 10.010 10.005 0.14561 0.39658 0.29916 0.14575 0.51886 0.89073 0.14677 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 715.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 2.62460E-01 2.10114E-04 4.33782E-02 4.35883E-02 1.87368E-04 0.165275 9 1 10.0 0.0 180.0 1.15070E-01 2.13705E-04 1.86627E-02 1.88764E-02 1.90570E-04 0.162186 9 4 10.0 45.0 135.0 1.28629E-01 2.12490E-04 2.15338E-02 2.17463E-02 1.89487E-04 0.167411 9 7 10.0 90.0 90.0 1.79562E-01 2.11156E-04 3.27330E-02 3.29441E-02 1.88297E-04 0.182294 8 1 20.0 0.0 180.0 6.87907E-02 2.14785E-04 5.81625E-03 6.03103E-03 1.91533E-04 0.084550 8 4 20.0 45.0 135.0 7.67627E-02 2.12187E-04 7.58385E-03 7.79604E-03 1.89216E-04 0.098796 8 7 20.0 90.0 90.0 1.07876E-01 2.10522E-04 1.56653E-02 1.58758E-02 1.87732E-04 0.145215 7 1 30.0 0.0 180.0 4.84695E-02 2.16527E-04 1.77833E-03 1.99486E-03 1.93087E-04 0.036690 7 4 30.0 45.0 135.0 5.29313E-02 2.15634E-04 2.30728E-03 2.52291E-03 1.92290E-04 0.043590 7 7 30.0 90.0 90.0 6.95806E-02 2.12424E-04 5.05184E-03 5.26427E-03 1.89428E-04 0.072604 6 1 40.0 0.0 180.0 3.98161E-02 2.16374E-04 1.17168E-03 1.38805E-03 1.92950E-04 0.029427 6 4 40.0 45.0 135.0 4.26304E-02 2.15098E-04 1.29343E-03 1.50853E-03 1.91812E-04 0.030341 6 7 40.0 90.0 90.0 5.23324E-02 2.11723E-04 1.92658E-03 2.13831E-03 1.88803E-04 0.036814 5 1 50.0 0.0 180.0 3.68787E-02 2.17939E-04 1.49138E-03 1.70932E-03 1.94346E-04 0.040440 5 4 50.0 45.0 135.0 3.89504E-02 2.15476E-04 1.57262E-03 1.78810E-03 1.92149E-04 0.040375 5 7 50.0 90.0 90.0 4.56053E-02 2.12221E-04 1.86979E-03 2.08201E-03 1.89247E-04 0.040999 4 1 60.0 0.0 180.0 3.82516E-02 2.13905E-04 2.93594E-03 3.14984E-03 1.90748E-04 0.076753 4 4 60.0 45.0 135.0 3.99056E-02 2.11204E-04 3.02702E-03 3.23822E-03 1.88340E-04 0.075854 4 7 60.0 90.0 90.0 4.51494E-02 2.10451E-04 3.39296E-03 3.60341E-03 1.87668E-04 0.075150 3 1 70.0 0.0 180.0 4.58746E-02 1.98523E-04 7.34110E-03 7.53962E-03 1.77032E-04 0.160025 3 4 70.0 45.0 135.0 4.70871E-02 1.98170E-04 7.51600E-03 7.71417E-03 1.76717E-04 0.159619 3 7 70.0 90.0 90.0 5.13525E-02 1.97431E-04 8.17608E-03 8.37352E-03 1.76058E-04 0.159215 2 1 80.0 0.0 180.0 6.84101E-02 1.70539E-04 1.74393E-02 1.76098E-02 1.52077E-04 0.254922 2 4 80.0 45.0 135.0 6.87402E-02 1.69851E-04 1.81003E-02 1.82702E-02 1.51463E-04 0.263315 2 7 80.0 90.0 90.0 7.14717E-02 1.69275E-04 1.93783E-02 1.95476E-02 1.50950E-04 0.271133 1 1 87.5 0.0 180.0 1.03130E-01 1.38392E-04 3.03872E-02 3.05256E-02 1.23410E-04 0.294649 1 4 87.5 45.0 135.0 1.01895E-01 1.31272E-04 3.24298E-02 3.25611E-02 1.17061E-04 0.318267 1 7 87.5 90.0 90.0 1.01706E-01 1.44803E-04 3.41830E-02 3.43278E-02 1.29127E-04 0.336097 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 715.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 4.359E-02 2.625E-01 6.683E-02 6.802E-02 7.285E-02 3.887E-02 7.510E-01 2.101E-04 1.874E-04 1 0.00 0.00 3.901E-04 4.675E+00 1.025E-03 1.196E-03 1.376E-03 3.578E-04 3.901E+00 3 1.40 1.00 1.536E-04 1.588E+00 3.818E-04 4.510E-04 5.663E-04 4.116E-04 3.808E+00 5 2.80 2.00 6.981E-05 5.379E-01 1.476E-04 1.719E-04 2.124E-04 5.472E-04 3.627E+00 7 4.21 3.00 3.881E-05 1.817E-01 6.539E-05 7.376E-05 8.776E-05 8.907E-04 3.414E+00 9 5.61 4.00 2.621E-05 6.123E-02 3.532E-05 3.818E-05 4.296E-05 1.761E-03 3.247E+00 11 7.01 5.00 2.018E-05 2.060E-02 2.333E-05 2.430E-05 2.592E-05 3.953E-03 3.154E+00 13 8.41 6.00 1.661E-05 6.930E-03 1.775E-05 1.808E-05 1.862E-05 9.390E-03 3.113E+00 15 9.81 7.00 1.409E-05 2.334E-03 1.456E-05 1.467E-05 1.485E-05 2.233E-02 3.099E+00 17 11.22 8.00 1.209E-05 7.915E-04 1.235E-05 1.239E-05 1.245E-05 5.021E-02 3.096E+00 19 12.62 9.00 1.042E-05 2.732E-04 1.062E-05 1.063E-05 1.065E-05 9.920E-02 3.098E+00 21 14.02 10.00 9.001E-06 9.868E-05 9.176E-06 9.180E-06 9.187E-06 1.606E-01 3.101E+00 Waveband 37 of 40 completed in 5.0 sec. * * * * * Output for wavelength band 38 (720.0 to 730.0 nm; nominal wavelength = 725.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 20.7 m at 725.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 720.0 nm to 730.0 nm: Ed(diffuse) = 2.241E-01 Ed(direct) = 7.953E-01 Ed(total) = 1.019E+00 Absorption Coefficients of Individual Components at 725.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 1.4890 0.0031 0.0004 1.4925 3 1.874 1.000 1.4890 0.0031 0.0004 1.4925 5 3.749 2.000 1.4890 0.0031 0.0004 1.4925 7 5.623 3.000 1.4890 0.0031 0.0004 1.4925 9 7.498 4.000 1.4890 0.0031 0.0004 1.4925 11 9.372 5.000 1.4890 0.0031 0.0004 1.4925 13 11.247 6.000 1.4890 0.0031 0.0004 1.4925 15 13.121 7.000 1.4890 0.0031 0.0004 1.4925 17 14.996 8.000 1.4890 0.0031 0.0004 1.4925 19 16.870 9.000 1.4890 0.0031 0.0004 1.4925 21 18.745 10.000 1.4890 0.0031 0.0004 1.4925 Scattering Coefficients of Individual Components at 725.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0006 0.3814 0.0000 0.3820 3 1.874 1.000 0.0006 0.3814 0.0000 0.3820 5 3.749 2.000 0.0006 0.3814 0.0000 0.3820 7 5.623 3.000 0.0006 0.3814 0.0000 0.3820 9 7.498 4.000 0.0006 0.3814 0.0000 0.3820 11 9.372 5.000 0.0006 0.3814 0.0000 0.3820 13 11.247 6.000 0.0006 0.3814 0.0000 0.3820 15 13.121 7.000 0.0006 0.3814 0.0000 0.3820 17 14.996 8.000 0.0006 0.3814 0.0000 0.3820 19 16.870 9.000 0.0006 0.3814 0.0000 0.3820 21 18.745 10.000 0.0006 0.3814 0.0000 0.3820 Backscattering Coefficients of Individual Components at 725.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00029 0.00381 0.00000 0.00410 3 1.874 1.000 0.00029 0.00381 0.00000 0.00410 5 3.749 2.000 0.00029 0.00381 0.00000 0.00410 7 5.623 3.000 0.00029 0.00381 0.00000 0.00410 9 7.498 4.000 0.00029 0.00381 0.00000 0.00410 11 9.372 5.000 0.00029 0.00381 0.00000 0.00410 13 11.247 6.000 0.00029 0.00381 0.00000 0.00410 15 13.121 7.000 0.00029 0.00381 0.00000 0.00410 17 14.996 8.000 0.00029 0.00381 0.00000 0.00410 19 16.870 9.000 0.00029 0.00381 0.00000 0.00410 21 18.745 10.000 0.00029 0.00381 0.00000 0.00410 Summary of Inherent Optical Properties at 725.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 1.4925 0.3820 1.8745 0.2038 0.00410 0.01074 3 1.874 1.000 1.4925 0.3820 1.8745 0.2038 0.00410 0.01074 5 3.749 2.000 1.4925 0.3820 1.8745 0.2038 0.00410 0.01074 7 5.623 3.000 1.4925 0.3820 1.8745 0.2038 0.00410 0.01074 9 7.498 4.000 1.4925 0.3820 1.8745 0.2038 0.00410 0.01074 11 9.372 5.000 1.4925 0.3820 1.8745 0.2038 0.00410 0.01074 13 11.247 6.000 1.4925 0.3820 1.8745 0.2038 0.00410 0.01074 15 13.121 7.000 1.4925 0.3820 1.8745 0.2038 0.00410 0.01074 17 14.996 8.000 1.4925 0.3820 1.8745 0.2038 0.00410 0.01074 19 16.870 9.000 1.4925 0.3820 1.8745 0.2038 0.00410 0.01074 21 18.745 10.000 1.4925 0.3820 1.8745 0.2038 0.00410 0.01074 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 5.9161E-01 8 20.00 1.7914E-01 7 30.00 4.1676E-02 6 40.00 1.0277E-02 5 50.00 3.1476E-03 4 60.00 1.2107E-03 3 70.00 5.5819E-04 2 80.00 2.9584E-04 1 87.50 1.9724E-04 1 92.50 1.5530E-04 2 100.00 1.1498E-04 3 110.00 8.3456E-05 4 120.00 6.6358E-05 5 130.00 5.7144E-05 6 140.00 5.2320E-05 7 150.00 4.9936E-05 8 160.00 4.8862E-05 9 170.00 4.8438E-05 10 180.00 4.8304E-05 Asymptotic AOP values are MUu(inf) = 0.3920 MUd(inf) = 0.9432 MU(inf) = 0.9404 R(inf) = 0.0009 Lu(inf)/Ed(inf) = 0.000215 (1/sr) k(inf) = 1.5873 (1/m) absorp(check) = 1.4928 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 725.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 7.0955E-02 1.2257E+00 1.2967E+00 2.9496E-02 1.0194E+00 0.4157 0.8317 0.7634 2.8935E-02 1 0.00 0.00 2.1993E-03 1.0392E+00 1.0414E+00 8.7630E-04 9.9078E-01 0.3984 0.9534 0.9505 8.8446E-04 3 1.87 1.00 4.9224E-04 2.1612E-01 2.1661E-01 2.0034E-04 2.0620E-01 0.4070 0.9541 0.9510 9.7156E-04 5 3.75 2.00 1.3233E-04 4.5058E-02 4.5191E-02 5.7419E-05 4.2997E-02 0.4339 0.9543 0.9502 1.3354E-03 7 5.62 3.00 5.3476E-05 9.4240E-03 9.4775E-03 2.5526E-05 8.9766E-03 0.4773 0.9525 0.9445 2.8436E-03 9 7.50 4.00 3.3520E-05 1.9886E-03 2.0221E-03 1.7004E-05 1.8822E-03 0.5073 0.9465 0.9224 9.0340E-03 11 9.37 5.00 2.6287E-05 4.3542E-04 4.6170E-04 1.3598E-05 4.0295E-04 0.5173 0.9254 0.8433 3.3747E-02 13 11.25 6.00 2.2104E-05 1.0896E-04 1.3106E-04 1.1476E-05 9.3556E-05 0.5192 0.8587 0.6263 1.2266E-01 15 13.12 7.00 1.8909E-05 3.8536E-05 5.7445E-05 9.8102E-06 2.7928E-05 0.5188 0.7247 0.3154 3.5126E-01 17 15.00 8.00 1.6229E-05 2.1690E-05 3.7919E-05 8.4065E-06 1.3116E-05 0.5180 0.6047 0.1242 6.4095E-01 19 16.87 9.00 1.3929E-05 1.6263E-05 3.0191E-05 7.2027E-06 9.0039E-06 0.5171 0.5536 0.0597 7.9996E-01 21 18.74 10.00 1.1945E-05 1.3466E-05 2.5410E-05 6.1669E-06 7.2514E-06 0.5163 0.5385 0.0427 8.5044E-01 K-functions (units of 1/meter) at 725.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 1.52984 1.56824 1.56816 1.51992 1.56999 1.57003 1.50332 1.000 1.010 1.005 1.43946 1.56949 1.56920 1.39960 1.56847 1.56864 1.33161 2.000 2.010 2.005 1.14258 1.56636 1.56512 1.05360 1.56709 1.56778 0.92633 3.000 3.010 3.005 0.65858 1.56213 1.55701 0.57188 1.56539 1.56824 0.47464 4.000 4.010 4.005 0.31736 1.54548 1.52500 0.28187 1.55666 1.56835 0.24943 5.000 5.010 5.005 0.19383 1.47760 1.40406 0.18531 1.51763 1.56449 0.18046 6.000 6.010 6.005 0.16117 1.25189 1.06710 0.16056 1.37289 1.54357 0.16312 7.000 7.010 7.005 0.15398 0.79538 0.58380 0.15523 0.99859 1.45822 0.15934 8.000 8.010 8.005 0.15307 0.38805 0.28741 0.15465 0.52500 1.18956 0.15886 9.000 9.010 9.005 0.15360 0.21747 0.18800 0.15517 0.26568 0.70885 0.15915 10.000 10.010 10.005 0.15469 0.16950 0.16254 0.15607 0.18338 0.33878 0.15968 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 725.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 2.37334E-01 1.20212E-04 3.94695E-02 3.95897E-02 1.17924E-04 0.166303 9 1 10.0 0.0 180.0 1.04054E-01 1.22340E-04 1.69750E-02 1.70973E-02 1.20013E-04 0.163137 9 4 10.0 45.0 135.0 1.16315E-01 1.21615E-04 1.95877E-02 1.97094E-02 1.19301E-04 0.168402 9 7 10.0 90.0 90.0 1.62370E-01 1.20781E-04 2.97803E-02 2.99011E-02 1.18483E-04 0.183410 8 1 20.0 0.0 180.0 6.22051E-02 1.22972E-04 5.28451E-03 5.40748E-03 1.20632E-04 0.084953 8 4 20.0 45.0 135.0 6.94139E-02 1.21436E-04 6.89261E-03 7.01404E-03 1.19125E-04 0.099297 8 7 20.0 90.0 90.0 9.75491E-02 1.20371E-04 1.42464E-02 1.43668E-02 1.18081E-04 0.146044 7 1 30.0 0.0 180.0 4.38293E-02 1.23966E-04 1.61125E-03 1.73522E-03 1.21608E-04 0.036762 7 4 30.0 45.0 135.0 4.78640E-02 1.23388E-04 2.09202E-03 2.21540E-03 1.21041E-04 0.043708 7 7 30.0 90.0 90.0 6.29194E-02 1.21404E-04 4.58791E-03 4.70931E-03 1.19094E-04 0.072917 6 1 40.0 0.0 180.0 3.60044E-02 1.23853E-04 1.05967E-03 1.18352E-03 1.21496E-04 0.029432 6 4 40.0 45.0 135.0 3.85493E-02 1.23042E-04 1.16997E-03 1.29301E-03 1.20701E-04 0.030350 6 7 40.0 90.0 90.0 4.73225E-02 1.20939E-04 1.74439E-03 1.86533E-03 1.18638E-04 0.036862 5 1 50.0 0.0 180.0 3.33482E-02 1.24740E-04 1.34863E-03 1.47337E-03 1.22367E-04 0.040441 5 4 50.0 45.0 135.0 3.52215E-02 1.23248E-04 1.42207E-03 1.54532E-03 1.20903E-04 0.040375 5 7 50.0 90.0 90.0 4.12394E-02 1.21219E-04 1.69089E-03 1.81211E-03 1.18912E-04 0.041002 4 1 60.0 0.0 180.0 3.45896E-02 1.22438E-04 2.65487E-03 2.77731E-03 1.20108E-04 0.076753 4 4 60.0 45.0 135.0 3.60853E-02 1.20813E-04 2.73723E-03 2.85804E-03 1.18514E-04 0.075854 4 7 60.0 90.0 90.0 4.08271E-02 1.20233E-04 3.06814E-03 3.18837E-03 1.17945E-04 0.075150 3 1 70.0 0.0 180.0 4.14828E-02 1.13685E-04 6.63831E-03 6.75200E-03 1.11522E-04 0.160025 3 4 70.0 45.0 135.0 4.25793E-02 1.13421E-04 6.79647E-03 6.90989E-03 1.11263E-04 0.159619 3 7 70.0 90.0 90.0 4.64364E-02 1.12900E-04 7.39336E-03 7.50626E-03 1.10752E-04 0.159215 2 1 80.0 0.0 180.0 6.18610E-02 9.77271E-05 1.57698E-02 1.58675E-02 9.58677E-05 0.254922 2 4 80.0 45.0 135.0 6.21595E-02 9.72916E-05 1.63675E-02 1.64648E-02 9.54405E-05 0.263315 2 7 80.0 90.0 90.0 6.46295E-02 9.69143E-05 1.75232E-02 1.76201E-02 9.50703E-05 0.271133 1 1 87.5 0.0 180.0 9.32572E-02 7.93923E-05 2.74781E-02 2.75575E-02 7.78817E-05 0.294649 1 4 87.5 45.0 135.0 9.21403E-02 7.52874E-05 2.93252E-02 2.94005E-02 7.38549E-05 0.318267 1 7 87.5 90.0 90.0 9.19691E-02 8.30497E-05 3.09105E-02 3.09935E-02 8.14695E-05 0.336097 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 725.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 3.959E-02 2.373E-01 6.041E-02 6.148E-02 6.585E-02 3.884E-02 7.450E-01 1.202E-04 1.179E-04 1 0.00 0.00 2.232E-04 4.253E+00 6.464E-04 7.637E-04 8.735E-04 2.253E-04 3.926E+00 3 1.87 1.00 5.314E-05 8.958E-01 1.330E-04 1.585E-04 2.010E-04 2.577E-04 3.770E+00 5 3.75 2.00 1.683E-05 1.879E-01 3.183E-05 3.721E-05 4.623E-05 3.915E-04 3.411E+00 7 5.62 3.00 8.448E-06 3.930E-02 1.041E-05 1.154E-05 1.342E-05 9.411E-04 3.022E+00 9 7.50 4.00 5.990E-06 8.198E-03 5.462E-06 5.695E-06 6.085E-06 3.183E-03 2.839E+00 11 9.37 5.00 4.867E-06 1.710E-03 3.994E-06 4.042E-06 4.122E-06 1.208E-02 2.794E+00 13 11.25 6.00 4.108E-06 3.587E-04 3.305E-06 3.315E-06 3.331E-06 4.391E-02 2.794E+00 15 13.12 7.00 3.499E-06 7.757E-05 2.826E-06 2.828E-06 2.831E-06 1.253E-01 2.804E+00 17 15.00 8.00 2.985E-06 1.883E-05 2.434E-06 2.434E-06 2.435E-06 2.276E-01 2.816E+00 19 16.87 9.00 2.547E-06 6.270E-06 2.097E-06 2.097E-06 2.097E-06 2.828E-01 2.828E+00 21 18.74 10.00 2.172E-06 3.326E-06 1.805E-06 1.805E-06 1.805E-06 2.995E-01 2.839E+00 Waveband 38 of 40 completed in 6.4 sec. * * * * * Output for wavelength band 39 (730.0 to 740.0 nm; nominal wavelength = 735.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 18.0 m at 735.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 730.0 nm to 740.0 nm: Ed(diffuse) = 2.426E-01 Ed(direct) = 8.662E-01 Ed(total) = 1.109E+00 Absorption Coefficients of Individual Components at 735.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 2.1289 0.0010 0.0003 2.1303 3 2.507 1.000 2.1289 0.0010 0.0003 2.1303 5 5.014 2.000 2.1289 0.0010 0.0003 2.1303 7 7.521 3.000 2.1289 0.0010 0.0003 2.1303 9 10.028 4.000 2.1289 0.0010 0.0003 2.1303 11 12.535 5.000 2.1289 0.0010 0.0003 2.1303 13 15.042 6.000 2.1289 0.0010 0.0003 2.1303 15 17.549 7.000 2.1289 0.0010 0.0003 2.1303 17 20.056 8.000 2.1289 0.0010 0.0003 2.1303 19 22.563 9.000 2.1289 0.0010 0.0003 2.1303 21 25.071 10.000 2.1289 0.0010 0.0003 2.1303 Scattering Coefficients of Individual Components at 735.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0005 0.3762 0.0000 0.3768 3 2.507 1.000 0.0005 0.3762 0.0000 0.3768 5 5.014 2.000 0.0005 0.3762 0.0000 0.3768 7 7.521 3.000 0.0005 0.3762 0.0000 0.3768 9 10.028 4.000 0.0005 0.3762 0.0000 0.3768 11 12.535 5.000 0.0005 0.3762 0.0000 0.3768 13 15.042 6.000 0.0005 0.3762 0.0000 0.3768 15 17.549 7.000 0.0005 0.3762 0.0000 0.3768 17 20.056 8.000 0.0005 0.3762 0.0000 0.3768 19 22.563 9.000 0.0005 0.3762 0.0000 0.3768 21 25.071 10.000 0.0005 0.3762 0.0000 0.3768 Backscattering Coefficients of Individual Components at 735.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00027 0.00376 0.00000 0.00404 3 2.507 1.000 0.00027 0.00376 0.00000 0.00404 5 5.014 2.000 0.00027 0.00376 0.00000 0.00404 7 7.521 3.000 0.00027 0.00376 0.00000 0.00404 9 10.028 4.000 0.00027 0.00376 0.00000 0.00404 11 12.535 5.000 0.00027 0.00376 0.00000 0.00404 13 15.042 6.000 0.00027 0.00376 0.00000 0.00404 15 17.549 7.000 0.00027 0.00376 0.00000 0.00404 17 20.056 8.000 0.00027 0.00376 0.00000 0.00404 19 22.563 9.000 0.00027 0.00376 0.00000 0.00404 21 25.071 10.000 0.00027 0.00376 0.00000 0.00404 Summary of Inherent Optical Properties at 735.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 2.1303 0.3768 2.5071 0.1503 0.00404 0.01071 3 2.507 1.000 2.1303 0.3768 2.5071 0.1503 0.00404 0.01071 5 5.014 2.000 2.1303 0.3768 2.5071 0.1503 0.00404 0.01071 7 7.521 3.000 2.1303 0.3768 2.5071 0.1503 0.00404 0.01071 9 10.028 4.000 2.1303 0.3768 2.5071 0.1503 0.00404 0.01071 11 12.535 5.000 2.1303 0.3768 2.5071 0.1503 0.00404 0.01071 13 15.042 6.000 2.1303 0.3768 2.5071 0.1503 0.00404 0.01071 15 17.549 7.000 2.1303 0.3768 2.5071 0.1503 0.00404 0.01071 17 20.056 8.000 2.1303 0.3768 2.5071 0.1503 0.00404 0.01071 19 22.563 9.000 2.1303 0.3768 2.5071 0.1503 0.00404 0.01071 21 25.071 10.000 2.1303 0.3768 2.5071 0.1503 0.00404 0.01071 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 4.9569E-01 8 20.00 1.1506E-01 7 30.00 2.1949E-02 6 40.00 4.9814E-03 5 50.00 1.5133E-03 4 60.00 5.8999E-04 3 70.00 2.7576E-04 2 80.00 1.4760E-04 1 87.50 9.8952E-05 1 92.50 7.8244E-05 2 100.00 5.8156E-05 3 110.00 4.2427E-05 4 120.00 3.3928E-05 5 130.00 2.9387E-05 6 140.00 2.7051E-05 7 150.00 2.5932E-05 8 160.00 2.5455E-05 9 170.00 2.5281E-05 10 180.00 2.5229E-05 Asymptotic AOP values are MUu(inf) = 0.3950 MUd(inf) = 0.9546 MU(inf) = 0.9527 R(inf) = 0.0007 Lu(inf)/Ed(inf) = 0.000148 (1/sr) k(inf) = 2.2366 (1/m) absorp(check) = 2.1308 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 735.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 7.6678E-02 1.3322E+00 1.4088E+00 3.1912E-02 1.1088E+00 0.4162 0.8323 0.7644 2.8781E-02 1 0.00 0.00 1.6369E-03 1.1296E+00 1.1313E+00 6.5005E-04 1.0775E+00 0.3971 0.9538 0.9519 6.0329E-04 3 2.51 1.00 1.9574E-04 1.2068E-01 1.2088E-01 8.0972E-05 1.1568E-01 0.4137 0.9586 0.9563 6.9995E-04 5 5.01 2.00 3.9611E-05 1.3050E-02 1.3090E-02 1.8596E-05 1.2521E-02 0.4695 0.9595 0.9551 1.4852E-03 7 7.52 3.00 1.9920E-05 1.4304E-03 1.4503E-03 1.0304E-05 1.3653E-03 0.5173 0.9545 0.9343 7.5470E-03 9 10.03 4.00 1.5319E-05 1.6925E-04 1.8457E-04 8.0742E-06 1.5555E-04 0.5271 0.9190 0.7990 5.1907E-02 11 12.54 5.00 1.2722E-05 3.0388E-05 4.3110E-05 6.7062E-06 2.3351E-05 0.5271 0.7684 0.3861 2.8719E-01 13 15.04 6.00 1.0664E-05 1.3430E-05 2.4094E-05 5.6083E-06 8.0004E-06 0.5259 0.5957 0.0993 7.0101E-01 15 17.55 7.00 8.9398E-06 9.9609E-06 1.8901E-05 4.6907E-06 5.4488E-06 0.5247 0.5470 0.0401 8.6086E-01 17 20.06 8.00 7.4888E-06 8.2054E-06 1.5694E-05 3.9207E-06 4.4216E-06 0.5235 0.5389 0.0319 8.8673E-01 19 22.56 9.00 6.2685E-06 6.8540E-06 1.3123E-05 3.2753E-06 3.6799E-06 0.5225 0.5369 0.0308 8.9003E-01 21 25.07 10.00 5.2434E-06 5.7322E-06 1.0976E-05 2.7346E-06 3.0715E-06 0.5215 0.5358 0.0307 8.9031E-01 K-functions (units of 1/meter) at 735.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 2.22740 2.24464 2.24461 2.19524 2.23770 2.23773 2.16120 1.000 1.010 1.005 1.96707 2.22907 2.22865 1.88725 2.22620 2.22644 1.75061 2.000 2.010 2.005 1.11745 2.21965 2.21630 0.97142 2.22074 2.22261 0.79137 3.000 3.010 3.005 0.37442 2.19412 2.16891 0.33006 2.20673 2.22113 0.28928 4.000 4.010 4.005 0.20199 2.02170 1.86940 0.19781 2.10503 2.21050 0.19780 5.000 5.010 5.005 0.17869 1.28333 0.95607 0.18042 1.56187 2.12389 0.18580 6.000 6.010 6.005 0.17666 0.44470 0.32598 0.17897 0.61159 1.63329 0.18461 7.000 7.010 7.005 0.17727 0.21508 0.19719 0.17944 0.24678 0.66441 0.18472 8.000 8.010 8.005 0.17802 0.18198 0.18009 0.18002 0.18808 0.25114 0.18490 9.000 9.010 9.005 0.17884 0.17834 0.17858 0.18054 0.18080 0.18297 0.18503 10.000 10.010 10.005 0.17951 0.17842 0.17894 0.18117 0.18029 0.17311 0.18527 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 735.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 2.56861E-01 8.90502E-05 4.29673E-02 4.30564E-02 8.03149E-05 0.167278 9 1 10.0 0.0 180.0 1.12615E-01 9.06432E-05 1.84731E-02 1.85638E-02 8.17516E-05 0.164038 9 4 10.0 45.0 135.0 1.25886E-01 9.00999E-05 2.13178E-02 2.14079E-02 8.12616E-05 0.169343 9 7 10.0 90.0 90.0 1.75727E-01 8.94673E-05 3.24163E-02 3.25057E-02 8.06911E-05 0.184470 8 1 20.0 0.0 180.0 6.73232E-02 9.11162E-05 5.74505E-03 5.83616E-03 8.21782E-05 0.085335 8 4 20.0 45.0 135.0 7.51251E-02 8.99676E-05 7.49542E-03 7.58539E-03 8.11422E-05 0.099773 8 7 20.0 90.0 90.0 1.05575E-01 8.91551E-05 1.55016E-02 1.55907E-02 8.04094E-05 0.146830 7 1 30.0 0.0 180.0 4.74355E-02 9.18547E-05 1.74707E-03 1.83893E-03 8.28442E-05 0.036830 7 4 30.0 45.0 135.0 5.18021E-02 9.14126E-05 2.26992E-03 2.36133E-03 8.24455E-05 0.043819 7 7 30.0 90.0 90.0 6.80962E-02 8.99103E-05 4.98561E-03 5.07552E-03 8.10906E-05 0.073214 6 1 40.0 0.0 180.0 3.89667E-02 9.17680E-05 1.14702E-03 1.23879E-03 8.27660E-05 0.029436 6 4 40.0 45.0 135.0 4.17210E-02 9.11495E-05 1.26661E-03 1.35776E-03 8.22082E-05 0.030359 6 7 40.0 90.0 90.0 5.12160E-02 8.95527E-05 1.89022E-03 1.97978E-03 8.07680E-05 0.036907 5 1 50.0 0.0 180.0 3.60920E-02 9.24223E-05 1.45961E-03 1.55203E-03 8.33562E-05 0.040441 5 4 50.0 45.0 135.0 3.81195E-02 9.12977E-05 1.53907E-03 1.63037E-03 8.23419E-05 0.040375 5 7 50.0 90.0 90.0 4.46324E-02 8.97539E-05 1.83011E-03 1.91987E-03 8.09495E-05 0.041004 4 1 60.0 0.0 180.0 3.74356E-02 9.07148E-05 2.87331E-03 2.96402E-03 8.18161E-05 0.076753 4 4 60.0 45.0 135.0 3.90543E-02 8.94919E-05 2.96244E-03 3.05193E-03 8.07132E-05 0.075854 4 7 60.0 90.0 90.0 4.41863E-02 8.90227E-05 3.32058E-03 3.40960E-03 8.02901E-05 0.075150 3 1 70.0 0.0 180.0 4.48959E-02 8.42336E-05 7.18449E-03 7.26873E-03 7.59708E-05 0.160025 3 4 70.0 45.0 135.0 4.60826E-02 8.40209E-05 7.35567E-03 7.43969E-03 7.57789E-05 0.159619 3 7 70.0 90.0 90.0 5.02570E-02 8.36028E-05 8.00167E-03 8.08527E-03 7.54018E-05 0.159215 2 1 80.0 0.0 180.0 6.69508E-02 7.24157E-05 1.70672E-02 1.71397E-02 6.53121E-05 0.254922 2 4 80.0 45.0 135.0 6.72738E-02 7.20805E-05 1.77142E-02 1.77863E-02 6.50098E-05 0.263315 2 7 80.0 90.0 90.0 6.99471E-02 7.17785E-05 1.89649E-02 1.90367E-02 6.47374E-05 0.271133 1 1 87.5 0.0 180.0 1.00930E-01 5.88396E-05 2.97390E-02 2.97978E-02 5.30678E-05 0.294649 1 4 87.5 45.0 135.0 9.97214E-02 5.57894E-05 3.17380E-02 3.17938E-02 5.03168E-05 0.318267 1 7 87.5 90.0 90.0 9.95361E-02 6.15289E-05 3.34537E-02 3.35153E-02 5.54933E-05 0.336097 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 735.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 4.306E-02 2.569E-01 6.536E-02 6.653E-02 7.126E-02 3.883E-02 7.412E-01 8.905E-05 8.031E-05 1 0.00 0.00 1.653E-04 4.630E+00 5.243E-04 6.257E-04 7.077E-04 1.534E-04 3.932E+00 3 2.51 1.00 2.220E-05 5.149E-01 5.140E-05 6.120E-05 7.756E-05 1.919E-04 3.648E+00 5 5.01 2.00 6.130E-06 5.698E-02 8.089E-06 9.153E-06 1.094E-05 4.896E-04 3.034E+00 7 7.52 3.00 3.775E-06 6.284E-03 3.085E-06 3.199E-06 3.391E-06 2.765E-03 2.730E+00 9 10.03 4.00 3.001E-06 6.933E-04 2.209E-06 2.221E-06 2.242E-06 1.929E-02 2.691E+00 11 12.54 5.00 2.483E-06 7.846E-05 1.827E-06 1.828E-06 1.830E-06 1.063E-01 2.701E+00 13 15.04 6.00 2.064E-06 1.070E-05 1.539E-06 1.539E-06 1.539E-06 2.580E-01 2.717E+00 15 17.55 7.00 1.717E-06 2.936E-06 1.297E-06 1.297E-06 1.297E-06 3.150E-01 2.733E+00 17 20.06 8.00 1.427E-06 1.792E-06 1.092E-06 1.092E-06 1.092E-06 3.228E-01 2.747E+00 19 22.56 9.00 1.187E-06 1.420E-06 9.189E-07 9.189E-07 9.189E-07 3.224E-01 2.760E+00 21 25.07 10.00 9.862E-07 1.172E-06 7.720E-07 7.720E-07 7.720E-07 3.211E-01 2.773E+00 Waveband 39 of 40 completed in 7.8 sec. * * * * * Output for wavelength band 40 (740.0 to 750.0 nm; nominal wavelength = 745.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 17.1 m at 745.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 740.0 nm to 750.0 nm: Ed(diffuse) = 2.537E-01 Ed(direct) = 9.117E-01 Ed(total) = 1.165E+00 Absorption Coefficients of Individual Components at 745.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 2.4590 0.0000 0.0003 2.4593 3 2.831 1.000 2.4590 0.0000 0.0003 2.4593 5 5.662 2.000 2.4590 0.0000 0.0003 2.4593 7 8.493 3.000 2.4590 0.0000 0.0003 2.4593 9 11.324 4.000 2.4590 0.0000 0.0003 2.4593 11 14.155 5.000 2.4590 0.0000 0.0003 2.4593 13 16.986 6.000 2.4590 0.0000 0.0003 2.4593 15 19.817 7.000 2.4590 0.0000 0.0003 2.4593 17 22.648 8.000 2.4590 0.0000 0.0003 2.4593 19 25.479 9.000 2.4590 0.0000 0.0003 2.4593 21 28.310 10.000 2.4590 0.0000 0.0003 2.4593 Scattering Coefficients of Individual Components at 745.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0005 0.3712 0.0000 0.3717 3 2.831 1.000 0.0005 0.3712 0.0000 0.3717 5 5.662 2.000 0.0005 0.3712 0.0000 0.3717 7 8.493 3.000 0.0005 0.3712 0.0000 0.3717 9 11.324 4.000 0.0005 0.3712 0.0000 0.3717 11 14.155 5.000 0.0005 0.3712 0.0000 0.3717 13 16.986 6.000 0.0005 0.3712 0.0000 0.3717 15 19.817 7.000 0.0005 0.3712 0.0000 0.3717 17 22.648 8.000 0.0005 0.3712 0.0000 0.3717 19 25.479 9.000 0.0005 0.3712 0.0000 0.3717 21 28.310 10.000 0.0005 0.3712 0.0000 0.3717 Backscattering Coefficients of Individual Components at 745.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00026 0.00371 0.00000 0.00397 3 2.831 1.000 0.00026 0.00371 0.00000 0.00397 5 5.662 2.000 0.00026 0.00371 0.00000 0.00397 7 8.493 3.000 0.00026 0.00371 0.00000 0.00397 9 11.324 4.000 0.00026 0.00371 0.00000 0.00397 11 14.155 5.000 0.00026 0.00371 0.00000 0.00397 13 16.986 6.000 0.00026 0.00371 0.00000 0.00397 15 19.817 7.000 0.00026 0.00371 0.00000 0.00397 17 22.648 8.000 0.00026 0.00371 0.00000 0.00397 19 25.479 9.000 0.00026 0.00371 0.00000 0.00397 21 28.310 10.000 0.00026 0.00371 0.00000 0.00397 Summary of Inherent Optical Properties at 745.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 2.4593 0.3717 2.8310 0.1313 0.00397 0.01068 3 2.831 1.000 2.4593 0.3717 2.8310 0.1313 0.00397 0.01068 5 5.662 2.000 2.4593 0.3717 2.8310 0.1313 0.00397 0.01068 7 8.493 3.000 2.4593 0.3717 2.8310 0.1313 0.00397 0.01068 9 11.324 4.000 2.4593 0.3717 2.8310 0.1313 0.00397 0.01068 11 14.155 5.000 2.4593 0.3717 2.8310 0.1313 0.00397 0.01068 13 16.986 6.000 2.4593 0.3717 2.8310 0.1313 0.00397 0.01068 15 19.817 7.000 2.4593 0.3717 2.8310 0.1313 0.00397 0.01068 17 22.648 8.000 2.4593 0.3717 2.8310 0.1313 0.00397 0.01068 19 25.479 9.000 2.4593 0.3717 2.8310 0.1313 0.00397 0.01068 21 28.310 10.000 2.4593 0.3717 2.8310 0.1313 0.00397 0.01068 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 4.5019E-01 8 20.00 9.2578E-02 7 30.00 1.6325E-02 6 40.00 3.6164E-03 5 50.00 1.1013E-03 4 60.00 4.3236E-04 3 70.00 2.0319E-04 2 80.00 1.0915E-04 1 87.50 7.3313E-05 1 92.50 5.8050E-05 2 100.00 4.3199E-05 3 110.00 3.1565E-05 4 120.00 2.5286E-05 5 130.00 2.1943E-05 6 140.00 2.0234E-05 7 150.00 1.9425E-05 8 160.00 1.9088E-05 9 170.00 1.8970E-05 10 180.00 1.8936E-05 Asymptotic AOP values are MUu(inf) = 0.3960 MUd(inf) = 0.9588 MU(inf) = 0.9572 R(inf) = 0.0006 Lu(inf)/Ed(inf) = 0.000125 (1/sr) k(inf) = 2.5700 (1/m) absorp(check) = 2.4600 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 745.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 8.0262E-02 1.3992E+00 1.4795E+00 3.3458E-02 1.1654E+00 0.4169 0.8329 0.7651 2.8709E-02 1 0.00 0.00 1.4624E-03 1.1870E+00 1.1885E+00 5.7983E-04 1.1325E+00 0.3965 0.9541 0.9524 5.1198E-04 3 2.83 1.00 1.2723E-04 9.0073E-02 9.0200E-02 5.3066E-05 8.6514E-02 0.4171 0.9605 0.9585 6.1338E-04 5 5.66 2.00 2.3774E-05 6.9548E-03 6.9786E-03 1.1549E-05 6.6862E-03 0.4858 0.9614 0.9565 1.7273E-03 7 8.49 3.00 1.3202E-05 5.5042E-04 5.6362E-04 6.9313E-06 5.2404E-04 0.5250 0.9521 0.9175 1.3227E-02 9 11.32 4.00 1.0242E-05 5.2682E-05 6.2924E-05 5.4193E-06 4.6016E-05 0.5291 0.8735 0.6452 1.1777E-01 11 14.15 5.00 8.2708E-06 1.2270E-05 2.0541E-05 4.3680E-06 8.0034E-06 0.5281 0.6523 0.1770 5.4577E-01 13 16.99 6.00 6.7054E-06 7.5963E-06 1.4302E-05 3.5318E-06 4.2162E-06 0.5267 0.5550 0.0479 8.3767E-01 15 19.82 7.00 5.4388E-06 5.9778E-06 1.1417E-05 2.8574E-06 3.2359E-06 0.5254 0.5413 0.0332 8.8301E-01 17 22.65 8.00 4.4128E-06 4.8342E-06 9.2470E-06 2.3129E-06 2.6047E-06 0.5241 0.5388 0.0316 8.8798E-01 19 25.48 9.00 3.5818E-06 3.9209E-06 7.5028E-06 1.8733E-06 2.1074E-06 0.5230 0.5375 0.0312 8.8888E-01 21 28.31 10.00 2.9084E-06 3.1825E-06 6.0909E-06 1.5180E-06 1.7069E-06 0.5219 0.5363 0.0310 8.8932E-01 K-functions (units of 1/meter) at 745.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 2.58909 2.59322 2.59321 2.54554 2.58186 2.58188 2.50408 1.000 1.010 1.005 2.21664 2.56751 2.56701 2.11337 2.56409 2.56436 1.93899 2.000 2.010 2.005 1.02501 2.55427 2.54902 0.87766 2.55613 2.55906 0.70890 3.000 3.010 3.005 0.32268 2.49938 2.44785 0.29833 2.52509 2.55527 0.27863 4.000 4.010 4.005 0.22135 2.05628 1.75532 0.22155 2.24653 2.51997 0.22592 5.000 5.010 5.005 0.21127 0.81824 0.57340 0.21377 1.11050 2.19868 0.22007 6.000 6.010 6.005 0.21010 0.28483 0.24979 0.21259 0.34296 1.01842 0.21863 7.000 7.010 7.005 0.20979 0.21642 0.21326 0.21214 0.22476 0.32012 0.21782 8.000 8.010 8.005 0.20940 0.20946 0.20943 0.21157 0.21244 0.21931 0.21688 9.000 9.010 9.005 0.20888 0.20846 0.20866 0.21089 0.21079 0.21001 0.21583 10.000 10.010 10.005 0.20870 0.20797 0.20832 0.21056 0.21008 0.20627 0.21514 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 745.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 2.68718E-01 7.93086E-05 4.51994E-02 4.52787E-02 6.80526E-05 0.168204 9 1 10.0 0.0 180.0 1.17813E-01 8.07335E-05 1.94267E-02 1.95074E-02 6.92752E-05 0.164894 9 4 10.0 45.0 135.0 1.31697E-01 8.02479E-05 2.24195E-02 2.24998E-02 6.88585E-05 0.170236 9 7 10.0 90.0 90.0 1.83836E-01 7.96805E-05 3.40970E-02 3.41767E-02 6.83717E-05 0.185475 8 1 20.0 0.0 180.0 7.04309E-02 8.11607E-05 6.03580E-03 6.11696E-03 6.96419E-05 0.085698 8 4 20.0 45.0 135.0 7.85930E-02 8.01349E-05 7.87688E-03 7.95701E-03 6.87616E-05 0.100224 8 7 20.0 90.0 90.0 1.10449E-01 7.94050E-05 1.62995E-02 1.63789E-02 6.81353E-05 0.147575 7 1 30.0 0.0 180.0 4.96252E-02 8.18253E-05 1.83095E-03 1.91277E-03 7.02121E-05 0.036895 7 4 30.0 45.0 135.0 5.41934E-02 8.14278E-05 2.38043E-03 2.46186E-03 6.98710E-05 0.043925 7 7 30.0 90.0 90.0 7.12396E-02 8.00817E-05 5.23583E-03 5.31591E-03 6.87159E-05 0.073496 6 1 40.0 0.0 180.0 4.07655E-02 8.17579E-05 1.20013E-03 1.28189E-03 7.01543E-05 0.029440 6 4 40.0 45.0 135.0 4.36469E-02 8.12027E-05 1.32545E-03 1.40665E-03 6.96779E-05 0.030367 6 7 40.0 90.0 90.0 5.35802E-02 7.97716E-05 1.97977E-03 2.05954E-03 6.84499E-05 0.036950 5 1 50.0 0.0 180.0 3.77580E-02 8.23507E-05 1.52701E-03 1.60936E-03 7.06629E-05 0.040442 5 4 50.0 45.0 135.0 3.98791E-02 8.13447E-05 1.61012E-03 1.69146E-03 6.97997E-05 0.040375 5 7 50.0 90.0 90.0 4.66927E-02 7.99619E-05 1.91470E-03 1.99466E-03 6.86132E-05 0.041006 4 1 60.0 0.0 180.0 3.91636E-02 8.08397E-05 3.00594E-03 3.08678E-03 6.93664E-05 0.076753 4 4 60.0 45.0 135.0 4.08571E-02 7.97466E-05 3.09919E-03 3.17894E-03 6.84284E-05 0.075854 4 7 60.0 90.0 90.0 4.62260E-02 7.93232E-05 3.47386E-03 3.55318E-03 6.80651E-05 0.075150 3 1 70.0 0.0 180.0 4.69684E-02 7.50764E-05 7.51614E-03 7.59122E-03 6.44211E-05 0.160025 3 4 70.0 45.0 135.0 4.82098E-02 7.48846E-05 7.69521E-03 7.77010E-03 6.42565E-05 0.159619 3 7 70.0 90.0 90.0 5.25769E-02 7.45108E-05 8.37103E-03 8.44555E-03 6.39357E-05 0.159215 2 1 80.0 0.0 180.0 7.00413E-02 6.45541E-05 1.78551E-02 1.79197E-02 5.53922E-05 0.254922 2 4 80.0 45.0 135.0 7.03792E-02 6.42546E-05 1.85319E-02 1.85962E-02 5.51352E-05 0.263315 2 7 80.0 90.0 90.0 7.31759E-02 6.39872E-05 1.98404E-02 1.99044E-02 5.49057E-05 0.271133 1 1 87.5 0.0 180.0 1.05589E-01 5.24620E-05 3.11118E-02 3.11642E-02 4.50162E-05 0.294649 1 4 87.5 45.0 135.0 1.04325E-01 4.97427E-05 3.32031E-02 3.32528E-02 4.26829E-05 0.318267 1 7 87.5 90.0 90.0 1.04131E-01 5.48649E-05 3.49980E-02 3.50529E-02 4.70781E-05 0.336097 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 745.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 4.528E-02 2.687E-01 6.838E-02 6.959E-02 7.454E-02 3.885E-02 7.389E-01 7.931E-05 6.805E-05 1 0.00 0.00 1.472E-04 4.870E+00 4.894E-04 5.866E-04 6.601E-04 1.300E-04 3.938E+00 3 2.83 1.00 1.477E-05 3.897E-01 3.292E-05 3.916E-05 4.958E-05 1.707E-04 3.592E+00 5 5.66 2.00 3.978E-06 3.103E-02 4.464E-06 4.945E-06 5.753E-06 5.949E-04 2.904E+00 7 8.49 3.00 2.584E-06 2.462E-03 1.945E-06 1.982E-06 2.044E-06 4.932E-03 2.682E+00 9 11.32 4.00 2.027E-06 1.966E-04 1.459E-06 1.462E-06 1.467E-06 4.405E-02 2.673E+00 11 14.15 5.00 1.624E-06 1.722E-05 1.182E-06 1.182E-06 1.183E-06 2.029E-01 2.690E+00 13 16.99 6.00 1.305E-06 2.755E-06 9.645E-07 9.645E-07 9.645E-07 3.095E-01 2.707E+00 15 19.82 7.00 1.049E-06 1.345E-06 7.871E-07 7.871E-07 7.871E-07 3.242E-01 2.723E+00 17 22.65 8.00 8.444E-07 1.013E-06 6.422E-07 6.422E-07 6.422E-07 3.242E-01 2.739E+00 19 25.48 9.00 6.803E-07 8.104E-07 5.240E-07 5.240E-07 5.240E-07 3.228E-01 2.754E+00 21 28.31 10.00 5.486E-07 6.526E-07 4.275E-07 4.275E-07 4.275E-07 3.214E-01 2.767E+00 Waveband 40 of 40 completed in 8.2 sec. Energy Eo as a function of depth and wavelength Units are W/m^2 [values are integrated over the wavelength bands] depth 355.0 365.0 375.0 385.0 395.0 405.0 415.0 425.0 435.0 445.0 455.0 465.0 475.0 485.0 495.0 505.0 515.0 525.0 535.0 545.0 555.0 565.0 575.0 585.0 595.0 605.0 615.0 625.0 635.0 645.0 655.0 665.0 675.0 685.0 695.0 705.0 715.0 725.0 735.0 745.0 in air 1.083E+01 1.235E+01 1.222E+01 1.068E+01 1.307E+01 1.825E+01 1.915E+01 1.817E+01 1.852E+01 2.169E+01 2.305E+01 2.280E+01 2.302E+01 2.218E+01 2.242E+01 2.191E+01 2.098E+01 2.138E+01 2.154E+01 2.118E+01 2.097E+01 2.074E+01 2.068E+01 2.008E+01 1.928E+01 1.966E+01 1.915E+01 1.891E+01 1.864E+01 1.803E+01 1.720E+01 1.786E+01 1.752E+01 1.612E+01 1.553E+01 1.557E+01 1.428E+01 1.297E+01 1.409E+01 1.479E+01 0.0 8.346E+00 9.681E+00 9.697E+00 8.562E+00 1.057E+01 1.478E+01 1.551E+01 1.476E+01 1.504E+01 1.770E+01 1.891E+01 1.879E+01 1.911E+01 1.851E+01 1.878E+01 1.837E+01 1.752E+01 1.795E+01 1.814E+01 1.786E+01 1.766E+01 1.748E+01 1.730E+01 1.657E+01 1.572E+01 1.588E+01 1.547E+01 1.527E+01 1.504E+01 1.455E+01 1.387E+01 1.441E+01 1.423E+01 1.317E+01 1.262E+01 1.255E+01 1.148E+01 1.041E+01 1.131E+01 1.188E+01 1.0 7.200E+00 8.471E+00 8.562E+00 7.614E+00 9.439E+00 1.315E+01 1.374E+01 1.305E+01 1.324E+01 1.565E+01 1.682E+01 1.679E+01 1.722E+01 1.678E+01 1.710E+01 1.673E+01 1.584E+01 1.635E+01 1.659E+01 1.635E+01 1.614E+01 1.599E+01 1.563E+01 1.444E+01 1.292E+01 1.180E+01 1.139E+01 1.102E+01 1.061E+01 1.002E+01 9.034E+00 8.693E+00 8.446E+00 7.640E+00 6.875E+00 5.896E+00 3.946E+00 2.166E+00 1.209E+00 9.020E-01 2.0 6.126E+00 7.319E+00 7.472E+00 6.697E+00 8.340E+00 1.159E+01 1.204E+01 1.142E+01 1.154E+01 1.370E+01 1.483E+01 1.487E+01 1.539E+01 1.510E+01 1.546E+01 1.513E+01 1.422E+01 1.480E+01 1.508E+01 1.487E+01 1.465E+01 1.454E+01 1.403E+01 1.249E+01 1.053E+01 8.690E+00 8.307E+00 7.883E+00 7.413E+00 6.833E+00 5.831E+00 5.202E+00 4.985E+00 4.421E+00 3.734E+00 2.757E+00 1.352E+00 4.519E-01 1.309E-01 6.979E-02 3.0 5.163E+00 6.269E+00 6.467E+00 5.844E+00 7.313E+00 1.013E+01 1.047E+01 9.926E+00 9.987E+00 1.192E+01 1.299E+01 1.309E+01 1.367E+01 1.351E+01 1.389E+01 1.361E+01 1.270E+01 1.332E+01 1.363E+01 1.346E+01 1.324E+01 1.316E+01 1.254E+01 1.075E+01 8.541E+00 6.365E+00 6.028E+00 5.609E+00 5.154E+00 4.639E+00 3.747E+00 3.104E+00 2.944E+00 2.569E+00 2.036E+00 1.291E+00 4.639E-01 9.477E-02 1.450E-02 5.636E-03 4.0 4.323E+00 5.334E+00 5.562E+00 5.068E+00 6.375E+00 8.807E+00 9.063E+00 8.580E+00 8.597E+00 1.031E+01 1.132E+01 1.147E+01 1.209E+01 1.203E+01 1.244E+01 1.219E+01 1.129E+01 1.195E+01 1.227E+01 1.214E+01 1.192E+01 1.187E+01 1.116E+01 9.212E+00 6.899E+00 4.645E+00 4.359E+00 3.977E+00 3.572E+00 3.139E+00 2.401E+00 1.850E+00 1.746E+00 1.507E+00 1.121E+00 6.080E-01 1.600E-01 2.022E-02 1.846E-03 6.292E-04 5.0 3.600E+00 4.516E+00 4.759E+00 4.375E+00 5.531E+00 7.621E+00 7.806E+00 7.384E+00 7.368E+00 8.884E+00 9.828E+00 1.000E+01 1.066E+01 1.068E+01 1.109E+01 1.088E+01 1.000E+01 1.068E+01 1.102E+01 1.092E+01 1.070E+01 1.067E+01 9.901E+00 7.872E+00 5.555E+00 3.379E+00 3.143E+00 2.812E+00 2.468E+00 2.118E+00 1.535E+00 1.104E+00 1.043E+00 8.975E-01 6.272E-01 2.900E-01 5.596E-02 4.617E-03 4.311E-04 2.054E-04 6.0 2.985E+00 3.807E+00 4.056E+00 3.761E+00 4.780E+00 6.570E+00 6.699E+00 6.332E+00 6.293E+00 7.629E+00 8.502E+00 8.700E+00 9.359E+00 9.448E+00 9.866E+00 9.682E+00 8.835E+00 9.516E+00 9.864E+00 9.788E+00 9.580E+00 9.564E+00 8.763E+00 6.710E+00 4.461E+00 2.453E+00 2.261E+00 1.984E+00 1.702E+00 1.426E+00 9.795E-01 6.594E-01 6.306E-01 5.463E-01 3.599E-01 1.416E-01 2.032E-02 1.311E-03 2.409E-04 1.430E-04 7.0 2.467E+00 3.198E+00 3.445E+00 3.223E+00 4.118E+00 5.645E+00 5.730E+00 5.413E+00 5.358E+00 6.532E+00 7.334E+00 7.544E+00 8.197E+00 8.336E+00 8.751E+00 8.595E+00 7.785E+00 8.459E+00 8.810E+00 8.755E+00 8.556E+00 8.556E+00 7.739E+00 5.707E+00 3.575E+00 1.777E+00 1.623E+00 1.397E+00 1.171E+00 9.589E-01 6.244E-01 3.958E-01 3.880E-01 3.428E-01 2.141E-01 7.209E-02 8.021E-03 5.744E-04 1.890E-04 1.142E-04 8.0 2.032E+00 2.678E+00 2.917E+00 2.753E+00 3.537E+00 4.837E+00 4.887E+00 4.614E+00 4.550E+00 5.577E+00 6.310E+00 6.525E+00 7.161E+00 7.337E+00 7.743E+00 7.611E+00 6.845E+00 7.504E+00 7.851E+00 7.815E+00 7.626E+00 7.639E+00 6.821E+00 4.844E+00 2.860E+00 1.285E+00 1.163E+00 9.816E-01 8.049E-01 6.436E-01 3.977E-01 2.392E-01 2.445E-01 2.234E-01 1.336E-01 3.910E-02 3.695E-03 3.792E-04 1.569E-04 9.247E-05 9.0 1.669E+00 2.236E+00 2.463E+00 2.346E+00 3.030E+00 4.134E+00 4.159E+00 3.924E+00 3.855E+00 4.751E+00 5.416E+00 5.632E+00 6.243E+00 6.444E+00 6.837E+00 6.727E+00 6.006E+00 6.643E+00 6.983E+00 6.963E+00 6.784E+00 6.807E+00 6.001E+00 4.104E+00 2.283E+00 9.273E-01 8.318E-01 6.889E-01 5.523E-01 4.315E-01 2.533E-01 1.462E-01 1.589E-01 1.521E-01 8.821E-02 2.312E-02 2.097E-03 3.019E-04 1.312E-04 7.503E-05 10.0 1.368E+00 1.863E+00 2.075E+00 1.994E+00 2.590E+00 3.525E+00 3.531E+00 3.330E+00 3.259E+00 4.039E+00 4.640E+00 4.850E+00 5.432E+00 5.649E+00 6.026E+00 5.934E+00 5.260E+00 5.870E+00 6.200E+00 6.193E+00 6.025E+00 6.057E+00 5.271E+00 3.471E+00 1.820E+00 6.685E-01 5.944E-01 4.829E-01 3.786E-01 2.890E-01 1.614E-01 9.068E-02 1.071E-01 1.084E-01 6.180E-02 1.508E-02 1.443E-03 2.541E-04 1.098E-04 6.091E-05 Quantum Eo as a function of depth and wavelength Units are (micromol photons)/(m^2 s) [values are integrated over the wavelength bands] depth 355.0 365.0 375.0 385.0 395.0 405.0 415.0 425.0 435.0 445.0 455.0 465.0 475.0 485.0 495.0 505.0 515.0 525.0 535.0 545.0 555.0 565.0 575.0 585.0 595.0 605.0 615.0 625.0 635.0 645.0 655.0 665.0 675.0 685.0 695.0 705.0 715.0 725.0 735.0 745.0 in air 3.213E+01 3.767E+01 3.829E+01 3.435E+01 4.316E+01 6.176E+01 6.641E+01 6.455E+01 6.732E+01 8.066E+01 8.765E+01 8.861E+01 9.139E+01 8.993E+01 9.274E+01 9.248E+01 9.031E+01 9.380E+01 9.631E+01 9.647E+01 9.728E+01 9.794E+01 9.937E+01 9.819E+01 9.588E+01 9.943E+01 9.842E+01 9.879E+01 9.891E+01 9.721E+01 9.418E+01 9.924E+01 9.884E+01 9.231E+01 9.022E+01 9.172E+01 8.535E+01 7.857E+01 8.655E+01 9.212E+01 0.0 2.476E+01 2.953E+01 3.039E+01 2.755E+01 3.490E+01 5.003E+01 5.381E+01 5.241E+01 5.470E+01 6.582E+01 7.192E+01 7.305E+01 7.585E+01 7.504E+01 7.769E+01 7.754E+01 7.542E+01 7.877E+01 8.113E+01 8.135E+01 8.193E+01 8.257E+01 8.316E+01 8.102E+01 7.818E+01 8.029E+01 7.950E+01 7.977E+01 7.984E+01 7.845E+01 7.595E+01 8.010E+01 8.029E+01 7.539E+01 7.331E+01 7.397E+01 6.862E+01 6.311E+01 6.950E+01 7.400E+01 1.0 2.136E+01 2.584E+01 2.684E+01 2.450E+01 3.116E+01 4.453E+01 4.765E+01 4.634E+01 4.815E+01 5.819E+01 6.398E+01 6.526E+01 6.835E+01 6.803E+01 7.073E+01 7.062E+01 6.819E+01 7.176E+01 7.419E+01 7.446E+01 7.486E+01 7.553E+01 7.513E+01 7.060E+01 6.427E+01 5.968E+01 5.854E+01 5.758E+01 5.631E+01 5.400E+01 4.946E+01 4.832E+01 4.765E+01 4.374E+01 3.994E+01 3.474E+01 2.358E+01 1.313E+01 7.426E+00 5.617E+00 2.0 1.818E+01 2.233E+01 2.342E+01 2.155E+01 2.753E+01 3.922E+01 4.176E+01 4.057E+01 4.196E+01 5.096E+01 5.641E+01 5.780E+01 6.110E+01 6.122E+01 6.394E+01 6.386E+01 6.121E+01 6.494E+01 6.741E+01 6.774E+01 6.798E+01 6.867E+01 6.744E+01 6.106E+01 5.239E+01 4.394E+01 4.270E+01 4.118E+01 3.934E+01 3.684E+01 3.192E+01 2.891E+01 2.813E+01 2.531E+01 2.169E+01 1.624E+01 8.081E+00 2.738E+00 8.041E-01 4.345E-01 3.0 1.532E+01 1.912E+01 2.027E+01 1.880E+01 2.414E+01 3.429E+01 3.633E+01 3.526E+01 3.631E+01 4.432E+01 4.940E+01 5.087E+01 5.429E+01 5.477E+01 5.749E+01 5.744E+01 5.465E+01 5.847E+01 6.095E+01 6.132E+01 6.143E+01 6.214E+01 6.024E+01 5.254E+01 4.247E+01 3.219E+01 3.099E+01 2.930E+01 2.736E+01 2.501E+01 2.051E+01 1.725E+01 1.661E+01 1.471E+01 1.183E+01 7.606E+00 2.772E+00 5.743E-01 8.909E-02 3.510E-02 4.0 1.283E+01 1.627E+01 1.743E+01 1.631E+01 2.105E+01 2.981E+01 3.144E+01 3.048E+01 3.126E+01 3.835E+01 4.306E+01 4.456E+01 4.801E+01 4.878E+01 5.146E+01 5.145E+01 4.858E+01 5.243E+01 5.489E+01 5.531E+01 5.531E+01 5.603E+01 5.362E+01 4.504E+01 3.431E+01 2.349E+01 2.241E+01 2.078E+01 1.896E+01 1.692E+01 1.314E+01 1.028E+01 9.849E+00 8.628E+00 6.512E+00 3.582E+00 9.559E-01 1.225E-01 1.134E-02 3.918E-03 5.0 1.068E+01 1.378E+01 1.492E+01 1.408E+01 1.826E+01 2.580E+01 2.708E+01 2.623E+01 2.679E+01 3.304E+01 3.738E+01 3.888E+01 4.230E+01 4.329E+01 4.590E+01 4.592E+01 4.305E+01 4.685E+01 4.927E+01 4.972E+01 4.964E+01 5.037E+01 4.758E+01 3.849E+01 2.762E+01 1.709E+01 1.615E+01 1.469E+01 1.310E+01 1.142E+01 8.402E+00 6.134E+00 5.884E+00 5.138E+00 3.643E+00 1.709E+00 3.344E-01 2.798E-02 2.648E-03 1.279E-03 6.0 8.858E+00 1.161E+01 1.271E+01 1.210E+01 1.578E+01 2.224E+01 2.323E+01 2.249E+01 2.288E+01 2.838E+01 3.233E+01 3.381E+01 3.715E+01 3.830E+01 4.082E+01 4.087E+01 3.803E+01 4.176E+01 4.411E+01 4.458E+01 4.444E+01 4.516E+01 4.212E+01 3.281E+01 2.219E+01 1.240E+01 1.162E+01 1.036E+01 9.033E+00 7.690E+00 5.362E+00 3.665E+00 3.558E+00 3.128E+00 2.091E+00 8.346E-01 1.214E-01 7.942E-03 1.480E-03 8.905E-04 7.0 7.319E+00 9.755E+00 1.080E+01 1.037E+01 1.359E+01 1.911E+01 1.987E+01 1.923E+01 1.948E+01 2.429E+01 2.789E+01 2.932E+01 3.254E+01 3.379E+01 3.620E+01 3.628E+01 3.351E+01 3.712E+01 3.939E+01 3.988E+01 3.969E+01 4.040E+01 3.719E+01 2.790E+01 1.778E+01 8.984E+00 8.341E+00 7.296E+00 6.217E+00 5.169E+00 3.418E+00 2.200E+00 2.189E+00 1.963E+00 1.244E+00 4.248E-01 4.794E-02 3.481E-03 1.161E-03 7.109E-04 8.0 6.028E+00 8.169E+00 9.142E+00 8.859E+00 1.168E+01 1.637E+01 1.695E+01 1.639E+01 1.654E+01 2.074E+01 2.400E+01 2.536E+01 2.843E+01 2.974E+01 3.204E+01 3.213E+01 2.946E+01 3.293E+01 3.510E+01 3.560E+01 3.537E+01 3.607E+01 3.278E+01 2.368E+01 1.422E+01 6.496E+00 5.976E+00 5.128E+00 4.272E+00 3.470E+00 2.177E+00 1.330E+00 1.379E+00 1.279E+00 7.761E-01 2.304E-01 2.208E-02 2.298E-03 9.641E-04 5.758E-04 9.0 4.952E+00 6.823E+00 7.721E+00 7.548E+00 1.000E+01 1.399E+01 1.442E+01 1.394E+01 1.401E+01 1.767E+01 2.060E+01 2.189E+01 2.479E+01 2.612E+01 2.829E+01 2.839E+01 2.585E+01 2.915E+01 3.122E+01 3.172E+01 3.147E+01 3.215E+01 2.884E+01 2.007E+01 1.135E+01 4.689E+00 4.276E+00 3.599E+00 2.931E+00 2.326E+00 1.387E+00 8.124E-01 8.963E-01 8.706E-01 5.124E-01 1.362E-01 1.253E-02 1.829E-03 8.061E-04 4.672E-04 10.0 4.058E+00 5.685E+00 6.505E+00 6.416E+00 8.550E+00 1.193E+01 1.225E+01 1.183E+01 1.185E+01 1.502E+01 1.764E+01 1.885E+01 2.156E+01 2.290E+01 2.493E+01 2.505E+01 2.264E+01 2.576E+01 2.772E+01 2.821E+01 2.795E+01 2.860E+01 2.533E+01 1.697E+01 9.051E+00 3.380E+00 3.055E+00 2.523E+00 2.009E+00 1.558E+00 8.837E-01 5.040E-01 6.041E-01 6.206E-01 3.590E-01 8.884E-02 8.626E-03 1.540E-03 6.742E-04 3.793E-04 PAR as a function of depth The wavelengths used for this PAR calculation were 400.0 to 700.0 nm depth PAR(from Eo) PAR(from Ed) (m) (mumol phot/m^2/s) (mumol phot/m^2/s) in air 2.7166E+03 2.0527E+03 0.00 2.2343E+03 2.0099E+03 1.00 1.8160E+03 1.5929E+03 2.00 1.4976E+03 1.2860E+03 3.00 1.2507E+03 1.0543E+03 4.00 1.0551E+03 8.7486E+02 5.00 8.9687E+02 7.3281E+02 6.00 7.6661E+02 6.1822E+02 7.00 6.5790E+02 5.2435E+02 8.00 5.6620E+02 4.4653E+02 9.00 4.8823E+02 3.8139E+02 10.00 4.2154E+02 3.2647E+02 K-function for PAR (units of 1/meter) (valid only when zupper and zlower are closely spaced) zupper zlower z KPAR(from Eo) 0.000 0.010 0.005 0.21504 1.000 1.010 1.005 0.19985 2.000 2.010 2.005 0.18597 3.000 3.010 3.005 0.17461 4.000 4.010 4.005 0.16588 5.000 5.010 5.005 0.15939 6.000 6.010 6.005 0.15468 7.000 7.010 7.005 0.15133 8.000 8.010 8.005 0.14900 9.000 9.010 9.005 0.14741 10.000 10.010 10.005 0.14638 CIE 1931 chromaticity coordinates (x,y) and (il)luminance Y for selected quantities. Output is (x,y,Y). Y is illuminance in lm/m^2 for Ed and Eu. Y is luminance in lm/(m^2 sr) for Lu and Lw. Y is not defined for Rrs depth Ed Eu Lu Lw Rrs in air (0.327, 0.338, 1.142E+05) (0.304, 0.330, 4.254E+03) (0.326, 0.341, 4.581E+03) (0.241, 0.320, 2.710E+02) (0.244, 0.313, 0.000E+00) 0.00 (0.326, 0.338, 1.119E+05) (0.242, 0.324, 2.034E+03) (0.241, 0.320, 5.028E+02) 1.00 (0.312, 0.342, 9.544E+04) (0.237, 0.327, 1.834E+03) (0.237, 0.324, 4.430E+02) 2.00 (0.300, 0.346, 8.168E+04) (0.233, 0.331, 1.645E+03) (0.233, 0.327, 3.899E+02) 3.00 (0.289, 0.351, 7.014E+04) (0.230, 0.335, 1.469E+03) (0.230, 0.332, 3.427E+02) 4.00 (0.281, 0.355, 6.040E+04) (0.228, 0.339, 1.308E+03) (0.228, 0.336, 3.011E+02) 5.00 (0.273, 0.359, 5.212E+04) (0.226, 0.344, 1.162E+03) (0.226, 0.340, 2.643E+02) 6.00 (0.267, 0.364, 4.506E+04) (0.224, 0.348, 1.031E+03) (0.224, 0.345, 2.318E+02) 7.00 (0.261, 0.368, 3.901E+04) (0.223, 0.353, 9.126E+02) (0.223, 0.349, 2.032E+02) 8.00 (0.257, 0.373, 3.381E+04) (0.222, 0.358, 8.066E+02) (0.222, 0.354, 1.780E+02) 9.00 (0.253, 0.378, 2.933E+04) (0.221, 0.362, 7.120E+02) (0.221, 0.359, 1.558E+02) 10.00 (0.250, 0.382, 2.545E+04) (0.221, 0.367, 6.276E+02) (0.221, 0.364, 1.363E+02) The Forel-Ule number of the nadir-viewing Rrs is FU = 5 The Forel-Ule number of the nadir-viewing, in-air Lu is FU = 6 The Forel-Ule number of the nadir-viewing Lw is FU = 5 WARNING: the current estimate for z_SD is greater than the maximum output depth for the run: z_SD cannot be further revised max output depth = 10.00 For a better estimate, rerun HydroLight to a deeper depth Run completed on 07/17/2013 at 16:44:10.7 Total (wall clock) run time = 144.1 sec