======================================================== | | | HYDROLIGHT Version 5.1.0 (MAIN CODE) | | Copyright (c) 2008 by Curtis D. Mobley | | | | This copy of HE5 is licensed solely to | | Student Version for Maine 2011 Summer Class | | | | S/N Maine_500_31July2011 | | | | THIS PROGRAM IS EXPERIMENTAL AND IS LICENSED "AS IS" | | WITHOUT REPRESENTATION OF WARRANTY OF ANY KIND, | | EITHER EXPRESS OR IMPLIED. THE ENTIRE RISK AS TO | | THE QUALITY AND PERFORMANCE OF HYDROLIGHT IS WITH | | THE USER. HYDROLIGHT IS NOT FAULT TOLERANT. | | | ======================================================== RUN TITLE: lab 2 - iop from ex2 (07/20/2011 22:36) Run started on 07/20/2011 at 22:36:30.2 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 5.000 3 375.00 4 60.000 0.4981 4 45.00 4 5.010 4 385.00 5 50.000 0.6403 5 60.00 5 10.000 5 395.00 6 40.000 0.7631 6 75.00 6 10.010 6 405.00 7 30.000 0.8627 7 90.00 7 15.000 7 415.00 8 20.000 0.9361 8 105.00 8 15.010 8 425.00 9 10.000 0.9811 9 120.00 9 20.000 9 435.00 10 0.000 0.9981 10 135.00 10 20.010 10 445.00 11 150.00 11 455.00 12 165.00 12 465.00 13 180.00 13 475.00 14 195.00 14 485.00 15 210.00 15 495.00 16 225.00 16 505.00 17 240.00 17 515.00 18 255.00 18 525.00 19 270.00 19 535.00 20 285.00 20 545.00 21 300.00 21 555.00 22 315.00 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 "abCASE2" is being used: Absorption and scattering coefficients for case 1 or 2 water are used. component 1 is pure water component 2 is pigmented particles (Chl) component 3 is CDOM (yellow matter) component 4 is mineral particles 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 1.00 (mg/m^3) Scattering for component 2 calculated using a Power Law model b = 0.4070 X^(0.7950) * (660./wavenm)^(1.0000) The phase function for component 2 will be chosen to have a bb/b ratio of 0.0100 CDOM absorption will covary with chlorophyll according to a Case 1 model The mineral concentration is constant with depth with a value of 0.00 (g/m^3) Absorption for component 4 calculated from the Prieur-Sathyenranath-Morel model 141 records read Scattering for component 4 calculated from b = c - a, using a Power Law model c = 0.4070 X^(0.7950) * (660./wavenm)^(1.0000) The phase function for component 4 will be chosen to have a bb/b ratio of 0.0300 Component concentration values at the requested output depths depth Chl aCDOM(355.0) Mineral (m) (mg/m^3) (1/m) (g/m^3) 0.000 1.000 0.039 0.250 5.000 1.000 0.039 0.250 10.000 1.000 0.039 0.250 15.000 1.000 0.039 0.250 20.000 1.000 0.039 0.250 ***** END IOP MODEL SPECIFICATIONS ***** ***** BEGIN INELASTIC SCATTER AND INTERNAL SOURCE SPECIFICATIONS ***** Chlorophyll fluorescence is included in this run Chl fluorescent quantum efficiency set to 0.020 CDOM fluorescence is included in this run Raman scattering is included in this run Raman scattering cross-section set to 2.40E-04 m-1 at reference wavelength 488.0 nm ***** END INELASTIC SCATTER AND INTERNAL SOURCE SPECIFICATIONS ***** ***** BEGIN ATMOSPHERIC MODEL SPECIFICATIONS ***** Normalized sky radiances are computed using sky model "HCNRAD" (Harrison and Coombes Normalized RADiances) The cloud fraction is cloud = 0.0 (0 for a clear sky to 1 for a heavy overcast) The sun is placed in quad Q(r,s) = Q( 7, 1) centered at (theta, phi) = (30.000, 0.000) Diffuse and Direct Sky irradiances are computed using the "RADTRANX" (RADTRAN eXtended for 300-1000 nm) model The RADTRAN clear-sky irradiances are adjusted for cloudiness by the model of Kasten and Czeplak Parameter values used in the RADTRANX model: Solar zenith angle = 30.0 degrees Pressure = 29.9 in. mercury Day of year = not set (mean earth-sun distance used) Air mass type = 1.0 Relative Humidity = 80.0 % Precipitable water = 2.5 cm 24-hr wind speed = 5.0 m/sec Current wind speed = 5.0 m/sec Visibility = 15.0 km Total ozone = 300.0 Dobson units Irradiances are computed just above the sea surface Aerosol optical thickness at 550 nm = 0.261 ***** END ATMOSPHERIC MODEL SPECIFICATIONS ***** ***** BEGIN AIR-WATER SURFACE SPECIFICATIONS ***** The air-water surface is for a wind speed of 5.0 m/s Index of refraction is constant for all wavelengths with the value: 1.340 ***** END AIR-WATER SURFACE SPECIFICATIONS ***** ***** BEGIN BOTTOM BOUNDARY SPECIFICATIONS ***** The bottom boundary is an infinitely deep, homogeneous water body below depth 20.00 m The actual depth at which the infinitely deep bottom boundary condition will be applied will be determined dynamically from the IOPs to insure a good solution at the requested output depths ***** END BOTTOM BOUNDARY SPECIFICATIONS ***** Initialization of Hydrolight Completed in 0.2 sec. * * * * * Output for wavelength band 1 (350.0 to 360.0 nm; nominal wavelength = 355.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 46.5 m at 355.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 350.0 nm to 360.0 nm: Ed(diffuse) = 2.986E-01 Ed(direct) = 3.214E-01 Ed(total) = 6.200E-01 Absorption Coefficients of Individual Components at 355.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0176 0.0339 0.0394 0.0137 0.1046 3 5.558 5.000 0.0176 0.0339 0.0394 0.0137 0.1046 5 11.116 10.000 0.0176 0.0339 0.0394 0.0137 0.1046 7 16.674 15.000 0.0176 0.0339 0.0394 0.0137 0.1046 9 22.232 20.000 0.0176 0.0339 0.0394 0.0137 0.1046 Scattering Coefficients of Individual Components at 355.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0127 0.7567 0.0000 0.2376 1.0070 3 5.558 5.000 0.0127 0.7567 0.0000 0.2376 1.0070 5 11.116 10.000 0.0127 0.7567 0.0000 0.2376 1.0070 7 16.674 15.000 0.0127 0.7567 0.0000 0.2376 1.0070 9 22.232 20.000 0.0127 0.7567 0.0000 0.2376 1.0070 Backscattering Coefficients of Individual Components at 355.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00634 0.00757 0.00000 0.00713 0.02104 3 5.558 5.000 0.00634 0.00757 0.00000 0.00713 0.02104 5 11.116 10.000 0.00634 0.00757 0.00000 0.00713 0.02104 7 16.674 15.000 0.00634 0.00757 0.00000 0.00713 0.02104 9 22.232 20.000 0.00634 0.00757 0.00000 0.00713 0.02104 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 0.1046 1.0070 1.1116 0.9059 0.02104 0.02089 3 5.558 5.000 0.1046 1.0070 1.1116 0.9059 0.02104 0.02089 5 11.116 10.000 0.1046 1.0070 1.1116 0.9059 0.02104 0.02089 7 16.674 15.000 0.1046 1.0070 1.1116 0.9059 0.02104 0.02089 9 22.232 20.000 0.1046 1.0070 1.1116 0.9059 0.02104 0.02089 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5681E-01 8 20.00 8.5011E-01 7 30.00 7.0411E-01 6 40.00 5.4960E-01 5 50.00 4.0981E-01 4 60.00 2.9652E-01 3 70.00 2.1174E-01 2 80.00 1.5216E-01 1 87.50 1.1934E-01 1 92.50 1.0040E-01 2 100.00 8.0868E-02 3 110.00 6.2912E-02 4 120.00 5.0697E-02 5 130.00 4.2540E-02 6 140.00 3.7130E-02 7 150.00 3.3602E-02 8 160.00 3.1402E-02 9 170.00 3.0198E-02 10 180.00 2.9771E-02 Asymptotic AOP values are MUu(inf) = 0.3947 MUd(inf) = 0.6729 MU(inf) = 0.5343 R(inf) = 0.0875 Lu(inf)/Ed(inf) = 0.018675 (1/sr) k(inf) = 0.1959 (1/m) absorp(check) = 0.1046 = 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 1.2758E-01 9.7286E-01 1.1004E+00 4.5359E-02 6.2002E-01 0.3555 0.6373 0.5222 7.3157E-02 1 0.00 0.00 1.0444E-01 7.5848E-01 8.6292E-01 4.5449E-02 6.2010E-01 0.4352 0.8176 0.6659 7.3294E-02 3 5.56 5.00 5.4047E-02 3.7003E-01 4.2408E-01 2.1896E-02 2.6374E-01 0.4051 0.7128 0.5703 8.3020E-02 5 11.12 10.00 2.2282E-02 1.5042E-01 1.7270E-01 8.8727E-03 1.0326E-01 0.3982 0.6865 0.5465 8.5924E-02 7 16.67 15.00 8.6425E-03 5.8080E-02 6.6723E-02 3.4224E-03 3.9372E-02 0.3960 0.6779 0.5388 8.6924E-02 9 22.23 20.00 3.2848E-03 2.2039E-02 2.5324E-02 1.2982E-03 1.4873E-02 0.3952 0.6748 0.5360 8.7289E-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 0.09491 0.11826 0.11544 0.10793 0.15355 0.15716 0.14375 5.000 5.010 5.005 0.16489 0.16976 0.16914 0.17085 0.18244 0.18349 0.17990 10.000 10.010 10.005 0.18554 0.18703 0.18684 0.18736 0.19110 0.19146 0.19026 15.000 15.010 15.005 0.19213 0.19265 0.19258 0.19276 0.19408 0.19421 0.19378 20.000 20.010 20.005 0.19444 0.19463 0.19460 0.19467 0.19516 0.19521 0.19505 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 8.05686E-02 6.01345E-03 3.68807E-03 9.70152E-03 9.69874E-03 0.045776 9 1 10.0 0.0 180.0 4.97141E-02 6.11682E-03 1.47713E-03 7.59395E-03 9.86546E-03 0.029712 9 4 10.0 45.0 135.0 5.46224E-02 6.09033E-03 1.67395E-03 7.76428E-03 9.82275E-03 0.030646 9 7 10.0 90.0 90.0 7.37994E-02 6.07639E-03 2.89959E-03 8.97598E-03 9.80026E-03 0.039290 8 1 20.0 0.0 180.0 3.90498E-02 6.19599E-03 9.37902E-04 7.13389E-03 9.99315E-03 0.024018 8 4 20.0 45.0 135.0 4.34729E-02 6.13326E-03 1.08299E-03 7.21625E-03 9.89198E-03 0.024912 8 7 20.0 90.0 90.0 6.39248E-02 6.12533E-03 1.99770E-03 8.12303E-03 9.87919E-03 0.031251 7 1 30.0 0.0 180.0 3.38583E-02 6.31404E-03 8.15058E-04 7.12910E-03 1.01836E-02 0.024073 7 4 30.0 45.0 135.0 3.75263E-02 6.30385E-03 9.13617E-04 7.21747E-03 1.01671E-02 0.024346 7 7 30.0 90.0 90.0 5.48121E-02 6.26680E-03 1.47534E-03 7.74214E-03 1.01074E-02 0.026916 6 1 40.0 0.0 180.0 3.21379E-02 6.42397E-03 9.06244E-04 7.33021E-03 1.03608E-02 0.028199 6 4 40.0 45.0 135.0 3.51411E-02 6.40541E-03 9.82865E-04 7.38828E-03 1.03309E-02 0.027969 6 7 40.0 90.0 90.0 4.93375E-02 6.38238E-03 1.41719E-03 7.79957E-03 1.02938E-02 0.028724 5 1 50.0 0.0 180.0 3.36955E-02 6.56426E-03 1.43154E-03 7.99580E-03 1.05871E-02 0.042485 5 4 50.0 45.0 135.0 3.59071E-02 6.51067E-03 1.49141E-03 8.00208E-03 1.05007E-02 0.041535 5 7 50.0 90.0 90.0 4.77295E-02 6.50506E-03 1.92809E-03 8.43315E-03 1.04916E-02 0.040396 4 1 60.0 0.0 180.0 3.99971E-02 6.52527E-03 3.33482E-03 9.86009E-03 1.05242E-02 0.083377 4 4 60.0 45.0 135.0 4.09023E-02 6.46316E-03 3.29308E-03 9.75624E-03 1.04241E-02 0.080511 4 7 60.0 90.0 90.0 5.05090E-02 6.54440E-03 3.84556E-03 1.03900E-02 1.05551E-02 0.076136 3 1 70.0 0.0 180.0 5.54963E-02 6.10413E-03 9.21166E-03 1.53158E-02 9.84500E-03 0.165987 3 4 70.0 45.0 135.0 5.39342E-02 6.11017E-03 8.86333E-03 1.49735E-02 9.85474E-03 0.164336 3 7 70.0 90.0 90.0 6.02972E-02 6.19278E-03 9.63845E-03 1.58312E-02 9.98798E-03 0.159849 2 1 80.0 0.0 180.0 9.42890E-02 5.26213E-03 2.28974E-02 2.81596E-02 8.48699E-03 0.242843 2 4 80.0 45.0 135.0 8.73097E-02 5.25303E-03 2.21466E-02 2.73996E-02 8.47231E-03 0.253655 2 7 80.0 90.0 90.0 8.67430E-02 5.32806E-03 2.31935E-02 2.85216E-02 8.59332E-03 0.267382 1 1 87.5 0.0 180.0 1.52448E-01 4.25711E-03 4.03828E-02 4.46399E-02 6.86604E-03 0.264896 1 4 87.5 45.0 135.0 1.37261E-01 4.04420E-03 4.01335E-02 4.41777E-02 6.52265E-03 0.292389 1 7 87.5 90.0 90.0 1.24877E-01 4.53827E-03 4.10740E-02 4.56123E-02 7.31951E-03 0.328916 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 9.702E-03 8.057E-02 9.854E-02 8.524E-02 1.271E-01 1.565E-02 4.675E+00 6.013E-03 9.699E-03 1 0.00 0.00 1.115E-02 1.501E-01 2.128E-02 2.383E-02 3.008E-02 1.799E-02 4.075E+00 3 5.56 5.00 4.867E-03 1.567E-01 1.227E-02 1.486E-02 2.069E-02 1.845E-02 4.499E+00 5 11.12 10.00 1.920E-03 6.768E-02 5.638E-03 6.578E-03 8.288E-03 1.860E-02 4.620E+00 7 16.67 15.00 7.341E-04 2.558E-02 2.360E-03 2.629E-03 3.039E-03 1.865E-02 4.662E+00 9 22.23 20.00 2.776E-04 9.510E-03 9.434E-04 1.012E-03 1.104E-03 1.866E-02 4.677E+00 Waveband 1 of 40 completed in 7.6 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 46.5 m at 365.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 360.0 nm to 370.0 nm: Ed(diffuse) = 3.273E-01 Ed(direct) = 3.929E-01 Ed(total) = 7.202E-01 Absorption Coefficients of Individual Components at 365.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0132 0.0348 0.0343 0.0141 0.0964 3 5.370 5.000 0.0132 0.0348 0.0343 0.0141 0.0964 5 10.739 10.000 0.0132 0.0348 0.0343 0.0141 0.0964 7 16.109 15.000 0.0132 0.0348 0.0343 0.0141 0.0964 9 21.478 20.000 0.0132 0.0348 0.0343 0.0141 0.0964 Scattering Coefficients of Individual Components at 365.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0113 0.7359 0.0000 0.2303 0.9775 3 5.370 5.000 0.0113 0.7359 0.0000 0.2303 0.9775 5 10.739 10.000 0.0113 0.7359 0.0000 0.2303 0.9775 7 16.109 15.000 0.0113 0.7359 0.0000 0.2303 0.9775 9 21.478 20.000 0.0113 0.7359 0.0000 0.2303 0.9775 Backscattering Coefficients of Individual Components at 365.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00563 0.00736 0.00000 0.00691 0.01989 3 5.370 5.000 0.00563 0.00736 0.00000 0.00691 0.01989 5 10.739 10.000 0.00563 0.00736 0.00000 0.00691 0.01989 7 16.109 15.000 0.00563 0.00736 0.00000 0.00691 0.01989 9 21.478 20.000 0.00563 0.00736 0.00000 0.00691 0.01989 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 0.0964 0.9775 1.0739 0.9102 0.01989 0.02035 3 5.370 5.000 0.0964 0.9775 1.0739 0.9102 0.01989 0.02035 5 10.739 10.000 0.0964 0.9775 1.0739 0.9102 0.01989 0.02035 7 16.109 15.000 0.0964 0.9775 1.0739 0.9102 0.01989 0.02035 9 21.478 20.000 0.0964 0.9775 1.0739 0.9102 0.01989 0.02035 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5806E-01 8 20.00 8.5418E-01 7 30.00 7.1128E-01 6 40.00 5.5893E-01 5 50.00 4.1987E-01 4 60.00 3.0606E-01 3 70.00 2.2006E-01 2 80.00 1.5903E-01 1 87.50 1.2515E-01 1 92.50 1.0546E-01 2 100.00 8.5084E-02 3 110.00 6.6260E-02 4 120.00 5.3384E-02 5 130.00 4.4745E-02 6 140.00 3.8994E-02 7 150.00 3.5231E-02 8 160.00 3.2880E-02 9 170.00 3.1591E-02 10 180.00 3.1134E-02 Asymptotic AOP values are MUu(inf) = 0.3945 MUd(inf) = 0.6693 MU(inf) = 0.5276 R(inf) = 0.0906 Lu(inf)/Ed(inf) = 0.019236 (1/sr) k(inf) = 0.1827 (1/m) absorp(check) = 0.0964 = k(inf)*MU(inf) 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 1.4498E-01 1.1135E+00 1.2585E+00 5.2692E-02 7.2024E-01 0.3634 0.6468 0.5304 7.3159E-02 1 0.00 0.00 1.2502E-01 8.8284E-01 1.0079E+00 5.4476E-02 7.2201E-01 0.4357 0.8178 0.6623 7.5451E-02 3 5.37 5.00 6.9043E-02 4.5965E-01 5.2870E-01 2.8022E-02 3.2765E-01 0.4059 0.7128 0.5667 8.5524E-02 5 10.74 10.00 3.0563E-02 2.0045E-01 2.3101E-01 1.2179E-02 1.3726E-01 0.3985 0.6848 0.5414 8.8729E-02 7 16.11 15.00 1.2702E-02 8.2888E-02 9.5590E-02 5.0303E-03 5.5967E-02 0.3960 0.6752 0.5329 8.9880E-02 9 21.48 20.00 5.1647E-03 3.3640E-02 3.8804E-02 2.0407E-03 2.2595E-02 0.3951 0.6717 0.5297 9.0315E-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 0.08701 0.10927 0.10651 0.09808 0.14196 0.14555 0.13225 5.000 5.010 5.005 0.15053 0.15564 0.15497 0.15677 0.16894 0.17008 0.16623 10.000 10.010 10.005 0.17153 0.17315 0.17293 0.17351 0.17761 0.17801 0.17667 15.000 15.010 15.005 0.17852 0.17910 0.17902 0.17923 0.18073 0.18088 0.18038 20.000 20.010 20.005 0.18105 0.18127 0.18124 0.18132 0.18190 0.18196 0.18177 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 8.83253E-02 7.19865E-03 4.24954E-03 1.14482E-02 9.99472E-03 0.048112 9 1 10.0 0.0 180.0 5.45003E-02 7.31649E-03 1.64705E-03 8.96353E-03 1.01583E-02 0.030221 9 4 10.0 45.0 135.0 5.98811E-02 7.28680E-03 1.87076E-03 9.15756E-03 1.01171E-02 0.031241 9 7 10.0 90.0 90.0 8.09044E-02 7.27512E-03 3.30645E-03 1.05816E-02 1.01009E-02 0.040869 8 1 20.0 0.0 180.0 4.28092E-02 7.40894E-03 1.02960E-03 8.43854E-03 1.02867E-02 0.024051 8 4 20.0 45.0 135.0 4.76582E-02 7.33721E-03 1.19088E-03 8.52809E-03 1.01871E-02 0.024988 8 7 20.0 90.0 90.0 7.00791E-02 7.33597E-03 2.23859E-03 9.57456E-03 1.01854E-02 0.031944 7 1 30.0 0.0 180.0 3.71179E-02 7.54869E-03 8.93525E-04 8.44221E-03 1.04807E-02 0.024073 7 4 30.0 45.0 135.0 4.11402E-02 7.54106E-03 1.00175E-03 8.54281E-03 1.04701E-02 0.024350 7 7 30.0 90.0 90.0 6.00826E-02 7.50825E-03 1.62693E-03 9.13518E-03 1.04246E-02 0.027078 6 1 40.0 0.0 180.0 3.52319E-02 7.67938E-03 9.93490E-04 8.67287E-03 1.06622E-02 0.028199 6 4 40.0 45.0 135.0 3.85242E-02 7.66322E-03 1.07749E-03 8.74071E-03 1.06397E-02 0.027969 6 7 40.0 90.0 90.0 5.40874E-02 7.65113E-03 1.55425E-03 9.20537E-03 1.06230E-02 0.028736 5 1 50.0 0.0 180.0 3.69395E-02 7.84662E-03 1.56936E-03 9.41598E-03 1.08944E-02 0.042485 5 4 50.0 45.0 135.0 3.93640E-02 7.78969E-03 1.63499E-03 9.42468E-03 1.08153E-02 0.041535 5 7 50.0 90.0 90.0 5.23245E-02 7.80148E-03 2.11371E-03 9.91519E-03 1.08317E-02 0.040396 4 1 60.0 0.0 180.0 4.38478E-02 7.79939E-03 3.65587E-03 1.14553E-02 1.08288E-02 0.083377 4 4 60.0 45.0 135.0 4.48401E-02 7.73314E-03 3.61011E-03 1.13433E-02 1.07368E-02 0.080511 4 7 60.0 90.0 90.0 5.53716E-02 7.85137E-03 4.21579E-03 1.20672E-02 1.09010E-02 0.076136 3 1 70.0 0.0 180.0 6.08391E-02 7.29468E-03 1.00985E-02 1.73932E-02 1.01280E-02 0.165987 3 4 70.0 45.0 135.0 5.91267E-02 7.31014E-03 9.71663E-03 1.70268E-02 1.01495E-02 0.164336 3 7 70.0 90.0 90.0 6.61022E-02 7.43081E-03 1.05664E-02 1.79972E-02 1.03171E-02 0.159849 2 1 80.0 0.0 180.0 1.03367E-01 6.28694E-03 2.51019E-02 3.13888E-02 8.72890E-03 0.242843 2 4 80.0 45.0 135.0 9.57154E-02 6.28364E-03 2.42787E-02 3.05624E-02 8.72430E-03 0.253655 2 7 80.0 90.0 90.0 9.50940E-02 6.39346E-03 2.54264E-02 3.18199E-02 8.87679E-03 0.267382 1 1 87.5 0.0 180.0 1.67125E-01 5.08435E-03 4.42706E-02 4.93550E-02 7.05920E-03 0.264896 1 4 87.5 45.0 135.0 1.50475E-01 4.83620E-03 4.39973E-02 4.88335E-02 6.71466E-03 0.292389 1 7 87.5 90.0 90.0 1.36899E-01 5.44486E-03 4.50284E-02 5.04732E-02 7.55974E-03 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 365.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.145E-02 8.833E-02 1.082E-01 9.369E-02 1.396E-01 1.589E-02 4.603E+00 7.199E-03 9.995E-03 1 0.00 0.00 1.335E-02 1.646E-01 2.526E-02 2.842E-02 3.604E-02 1.849E-02 4.080E+00 3 5.37 5.00 6.221E-03 1.915E-01 1.543E-02 1.878E-02 2.640E-02 1.899E-02 4.505E+00 5 10.74 10.00 2.628E-03 8.913E-02 7.621E-03 8.959E-03 1.142E-02 1.914E-02 4.635E+00 7 16.11 15.00 1.075E-03 3.602E-02 3.427E-03 3.845E-03 4.492E-03 1.920E-02 4.681E+00 9 21.48 20.00 4.343E-04 1.428E-02 1.469E-03 1.586E-03 1.743E-03 1.922E-02 4.698E+00 Waveband 2 of 40 completed in 6.6 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 46.5 m at 375.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 370.0 nm to 380.0 nm: Ed(diffuse) = 3.130E-01 Ed(direct) = 4.113E-01 Ed(total) = 7.243E-01 Absorption Coefficients of Individual Components at 375.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0115 0.0360 0.0298 0.0146 0.0919 3 5.208 5.000 0.0115 0.0360 0.0298 0.0146 0.0919 5 10.416 10.000 0.0115 0.0360 0.0298 0.0146 0.0919 7 15.624 15.000 0.0115 0.0360 0.0298 0.0146 0.0919 9 20.832 20.000 0.0115 0.0360 0.0298 0.0146 0.0919 Scattering Coefficients of Individual Components at 375.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0100 0.7163 0.0000 0.2233 0.9497 3 5.208 5.000 0.0100 0.7163 0.0000 0.2233 0.9497 5 10.416 10.000 0.0100 0.7163 0.0000 0.2233 0.9497 7 15.624 15.000 0.0100 0.7163 0.0000 0.2233 0.9497 9 20.832 20.000 0.0100 0.7163 0.0000 0.2233 0.9497 Backscattering Coefficients of Individual Components at 375.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00501 0.00716 0.00000 0.00670 0.01887 3 5.208 5.000 0.00501 0.00716 0.00000 0.00670 0.01887 5 10.416 10.000 0.00501 0.00716 0.00000 0.00670 0.01887 7 15.624 15.000 0.00501 0.00716 0.00000 0.00670 0.01887 9 20.832 20.000 0.00501 0.00716 0.00000 0.00670 0.01887 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 0.0919 0.9497 1.0416 0.9117 0.01887 0.01987 3 5.208 5.000 0.0919 0.9497 1.0416 0.9117 0.01887 0.01987 5 10.416 10.000 0.0919 0.9497 1.0416 0.9117 0.01887 0.01987 7 15.624 15.000 0.0919 0.9497 1.0416 0.9117 0.01887 0.01987 9 20.832 20.000 0.0919 0.9497 1.0416 0.9117 0.01887 0.01987 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5848E-01 8 20.00 8.5552E-01 7 30.00 7.1363E-01 6 40.00 5.6196E-01 5 50.00 4.2307E-01 4 60.00 3.0904E-01 3 70.00 2.2256E-01 2 80.00 1.6102E-01 1 87.50 1.2675E-01 1 92.50 1.0680E-01 2 100.00 8.6123E-02 3 110.00 6.7001E-02 4 120.00 5.3901E-02 5 130.00 4.5101E-02 6 140.00 3.9237E-02 7 150.00 3.5398E-02 8 160.00 3.2997E-02 9 170.00 3.1680E-02 10 180.00 3.1213E-02 Asymptotic AOP values are MUu(inf) = 0.3938 MUd(inf) = 0.6683 MU(inf) = 0.5263 R(inf) = 0.0909 Lu(inf)/Ed(inf) = 0.019194 (1/sr) k(inf) = 0.1747 (1/m) absorp(check) = 0.0919 = 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 1.4188E-01 1.1060E+00 1.2479E+00 5.2339E-02 7.2429E-01 0.3689 0.6549 0.5385 7.2262E-02 1 0.00 0.00 1.2565E-01 8.8675E-01 1.0124E+00 5.4742E-02 7.2668E-01 0.4357 0.8195 0.6637 7.5331E-02 3 5.21 5.00 7.2229E-02 4.8000E-01 5.5223E-01 2.9317E-02 3.4305E-01 0.4059 0.7147 0.5681 8.5459E-02 5 10.42 10.00 3.3431E-02 2.1864E-01 2.5207E-01 1.3310E-02 1.4983E-01 0.3981 0.6853 0.5416 8.8834E-02 7 15.62 15.00 1.4504E-02 9.4330E-02 1.0883E-01 5.7361E-03 6.3672E-02 0.3955 0.6750 0.5323 9.0088E-02 9 20.83 20.00 6.1485E-03 3.9904E-02 4.6052E-02 2.4254E-03 2.6778E-02 0.3945 0.6711 0.5288 9.0577E-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 0.08154 0.10355 0.10082 0.09204 0.13502 0.13852 0.12531 5.000 5.010 5.005 0.14155 0.14694 0.14623 0.14800 0.16063 0.16181 0.15778 10.000 10.010 10.005 0.16275 0.16452 0.16429 0.16488 0.16929 0.16972 0.16827 15.000 15.010 15.005 0.17007 0.17072 0.17063 0.17085 0.17251 0.17268 0.17213 20.000 20.010 20.005 0.17280 0.17305 0.17302 0.17311 0.17377 0.17383 0.17361 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 8.44577E-02 7.21763E-03 4.24468E-03 1.14623E-02 9.96508E-03 0.050258 9 1 10.0 0.0 180.0 5.21139E-02 7.33177E-03 1.59925E-03 8.93103E-03 1.01227E-02 0.030688 9 4 10.0 45.0 135.0 5.72591E-02 7.30336E-03 1.82014E-03 9.12350E-03 1.00834E-02 0.031788 9 7 10.0 90.0 90.0 7.73618E-02 7.29508E-03 3.27379E-03 1.05689E-02 1.00720E-02 0.042318 8 1 20.0 0.0 180.0 4.09347E-02 7.42295E-03 9.85746E-04 8.40870E-03 1.02486E-02 0.024081 8 4 20.0 45.0 135.0 4.55714E-02 7.35326E-03 1.14192E-03 8.49518E-03 1.01523E-02 0.025058 8 7 20.0 90.0 90.0 6.70105E-02 7.35774E-03 2.18321E-03 9.54095E-03 1.01585E-02 0.032580 7 1 30.0 0.0 180.0 3.54926E-02 7.56208E-03 8.54399E-04 8.41648E-03 1.04407E-02 0.024073 7 4 30.0 45.0 135.0 3.93397E-02 7.55747E-03 9.58037E-04 8.51550E-03 1.04343E-02 0.024353 7 7 30.0 90.0 90.0 5.74460E-02 7.53266E-03 1.56408E-03 9.09674E-03 1.04000E-02 0.027227 6 1 40.0 0.0 180.0 3.36892E-02 7.69264E-03 9.49987E-04 8.64263E-03 1.06209E-02 0.028199 6 4 40.0 45.0 135.0 3.68373E-02 7.68050E-03 1.03031E-03 8.71081E-03 1.06041E-02 0.027969 6 7 40.0 90.0 90.0 5.17190E-02 7.67953E-03 1.48674E-03 9.16626E-03 1.06028E-02 0.028746 5 1 50.0 0.0 180.0 3.53220E-02 7.86009E-03 1.50064E-03 9.36073E-03 1.08521E-02 0.042485 5 4 50.0 45.0 135.0 3.76404E-02 7.80794E-03 1.56340E-03 9.37134E-03 1.07801E-02 0.041535 5 7 50.0 90.0 90.0 5.00334E-02 7.83354E-03 2.02116E-03 9.85470E-03 1.08155E-02 0.040396 4 1 60.0 0.0 180.0 4.19278E-02 7.81266E-03 3.49579E-03 1.13085E-02 1.07866E-02 0.083377 4 4 60.0 45.0 135.0 4.28767E-02 7.75189E-03 3.45203E-03 1.12039E-02 1.07027E-02 0.080511 4 7 60.0 90.0 90.0 5.29471E-02 7.88655E-03 4.03119E-03 1.19177E-02 1.08886E-02 0.076136 3 1 70.0 0.0 180.0 5.81751E-02 7.30670E-03 9.65632E-03 1.69630E-02 1.00881E-02 0.165987 3 4 70.0 45.0 135.0 5.65377E-02 7.32814E-03 9.29117E-03 1.66193E-02 1.01177E-02 0.164336 3 7 70.0 90.0 90.0 6.32078E-02 7.46651E-03 1.01037E-02 1.75702E-02 1.03087E-02 0.159849 2 1 80.0 0.0 180.0 9.88404E-02 6.29679E-03 2.40027E-02 3.02995E-02 8.69372E-03 0.242843 2 4 80.0 45.0 135.0 9.15242E-02 6.29911E-03 2.32156E-02 2.95147E-02 8.69692E-03 0.253655 2 7 80.0 90.0 90.0 9.09301E-02 6.42571E-03 2.43131E-02 3.07388E-02 8.87172E-03 0.267382 1 1 87.5 0.0 180.0 1.59807E-01 5.09162E-03 4.23321E-02 4.74238E-02 7.02979E-03 0.264896 1 4 87.5 45.0 135.0 1.43886E-01 4.84779E-03 4.20708E-02 4.69186E-02 6.69315E-03 0.292389 1 7 87.5 90.0 90.0 1.30905E-01 5.47310E-03 4.30567E-02 4.85298E-02 7.55649E-03 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 375.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.146E-02 8.446E-02 1.036E-01 8.972E-02 1.337E-01 1.583E-02 4.566E+00 7.218E-03 9.965E-03 1 0.00 0.00 1.339E-02 1.574E-01 2.524E-02 2.852E-02 3.639E-02 1.842E-02 4.089E+00 3 5.21 5.00 6.492E-03 1.982E-01 1.596E-02 1.956E-02 2.778E-02 1.893E-02 4.516E+00 5 10.42 10.00 2.861E-03 9.705E-02 8.254E-03 9.778E-03 1.262E-02 1.909E-02 4.653E+00 7 15.62 15.00 1.220E-03 4.094E-02 3.882E-03 4.390E-03 5.186E-03 1.916E-02 4.703E+00 9 20.83 20.00 5.136E-04 1.690E-02 1.739E-03 1.890E-03 2.096E-03 1.918E-02 4.722E+00 Waveband 3 of 40 completed in 6.4 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 46.5 m at 385.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 380.0 nm to 390.0 nm: Ed(diffuse) = 2.649E-01 Ed(direct) = 3.776E-01 Ed(total) = 6.425E-01 Absorption Coefficients of Individual Components at 385.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0094 0.0378 0.0259 0.0154 0.0885 3 5.058 5.000 0.0094 0.0378 0.0259 0.0154 0.0885 5 10.115 10.000 0.0094 0.0378 0.0259 0.0154 0.0885 7 15.173 15.000 0.0094 0.0378 0.0259 0.0154 0.0885 9 20.231 20.000 0.0094 0.0378 0.0259 0.0154 0.0885 Scattering Coefficients of Individual Components at 385.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0089 0.6977 0.0000 0.2164 0.9231 3 5.058 5.000 0.0089 0.6977 0.0000 0.2164 0.9231 5 10.115 10.000 0.0089 0.6977 0.0000 0.2164 0.9231 7 15.173 15.000 0.0089 0.6977 0.0000 0.2164 0.9231 9 20.231 20.000 0.0089 0.6977 0.0000 0.2164 0.9231 Backscattering Coefficients of Individual Components at 385.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00447 0.00698 0.00000 0.00649 0.01794 3 5.058 5.000 0.00447 0.00698 0.00000 0.00649 0.01794 5 10.115 10.000 0.00447 0.00698 0.00000 0.00649 0.01794 7 15.173 15.000 0.00447 0.00698 0.00000 0.00649 0.01794 9 20.231 20.000 0.00447 0.00698 0.00000 0.00649 0.01794 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 0.0885 0.9231 1.0115 0.9125 0.01794 0.01943 3 5.058 5.000 0.0885 0.9231 1.0115 0.9125 0.01794 0.01943 5 10.115 10.000 0.0885 0.9231 1.0115 0.9125 0.01794 0.01943 7 15.173 15.000 0.0885 0.9231 1.0115 0.9125 0.01794 0.01943 9 20.231 20.000 0.0885 0.9231 1.0115 0.9125 0.01794 0.01943 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5869E-01 8 20.00 8.5619E-01 7 30.00 7.1477E-01 6 40.00 5.6340E-01 5 50.00 4.2457E-01 4 60.00 3.1036E-01 3 70.00 2.2361E-01 2 80.00 1.6178E-01 1 87.50 1.2730E-01 1 92.50 1.0721E-01 2 100.00 8.6376E-02 3 110.00 6.7104E-02 4 120.00 5.3893E-02 5 130.00 4.5015E-02 6 140.00 3.9098E-02 7 150.00 3.5222E-02 8 160.00 3.2799E-02 9 170.00 3.1469E-02 10 180.00 3.0998E-02 Asymptotic AOP values are MUu(inf) = 0.3930 MUd(inf) = 0.6679 MU(inf) = 0.5264 R(inf) = 0.0906 Lu(inf)/Ed(inf) = 0.019020 (1/sr) k(inf) = 0.1681 (1/m) absorp(check) = 0.0885 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 385.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.2249E-01 9.7025E-01 1.0927E+00 4.5763E-02 6.4248E-01 0.3736 0.6622 0.5461 7.1228E-02 1 0.00 0.00 1.1065E-01 7.8517E-01 8.9582E-01 4.8188E-02 6.4489E-01 0.4355 0.8213 0.6661 7.4722E-02 3 5.06 5.00 6.5713E-02 4.3849E-01 5.0420E-01 2.6664E-02 3.1436E-01 0.4058 0.7169 0.5706 8.4820E-02 5 10.12 10.00 3.1554E-02 2.0699E-01 2.3854E-01 1.2549E-02 1.4208E-01 0.3977 0.6864 0.5430 8.8325E-02 7 15.17 15.00 1.4184E-02 9.2483E-02 1.0667E-01 5.6008E-03 6.2462E-02 0.3949 0.6754 0.5331 8.9668E-02 9 20.23 20.00 6.2228E-03 4.0478E-02 4.6701E-02 2.4503E-03 2.7164E-02 0.3938 0.6711 0.5292 9.0204E-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 0.07701 0.09885 0.09615 0.08718 0.12941 0.13282 0.11972 5.000 5.010 5.005 0.13418 0.13984 0.13910 0.14081 0.15383 0.15504 0.15086 10.000 10.010 10.005 0.15551 0.15742 0.15717 0.15777 0.16246 0.16291 0.16136 15.000 15.010 15.005 0.16311 0.16383 0.16373 0.16396 0.16578 0.16595 0.16535 20.000 20.010 20.005 0.16602 0.16630 0.16627 0.16636 0.16710 0.16717 0.16693 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 7.14888E-02 6.33870E-03 3.74265E-03 1.00813E-02 9.86595E-03 0.052353 9 1 10.0 0.0 180.0 4.41115E-02 6.43591E-03 1.37379E-03 7.80970E-03 1.00173E-02 0.031143 9 4 10.0 45.0 135.0 4.84666E-02 6.41197E-03 1.56652E-03 7.97849E-03 9.97999E-03 0.032322 9 7 10.0 90.0 90.0 6.54825E-02 6.40731E-03 2.86374E-03 9.27105E-03 9.97275E-03 0.043733 8 1 20.0 0.0 180.0 3.46490E-02 6.51484E-03 8.35396E-04 7.35024E-03 1.01401E-02 0.024110 8 4 20.0 45.0 135.0 3.85737E-02 6.45531E-03 9.69209E-04 7.42452E-03 1.00475E-02 0.025126 8 7 20.0 90.0 90.0 5.67207E-02 6.46359E-03 1.88321E-03 8.34680E-03 1.00603E-02 0.033201 7 1 30.0 0.0 180.0 3.00425E-02 6.63629E-03 7.23201E-04 7.35949E-03 1.03292E-02 0.024073 7 4 30.0 45.0 135.0 3.32996E-02 6.63451E-03 8.11052E-04 7.44556E-03 1.03264E-02 0.024356 7 7 30.0 90.0 90.0 4.86201E-02 6.61891E-03 1.33084E-03 7.94975E-03 1.03021E-02 0.027372 6 1 40.0 0.0 180.0 2.85161E-02 6.75062E-03 8.04110E-04 7.55473E-03 1.05071E-02 0.028199 6 4 40.0 45.0 135.0 3.11808E-02 6.74300E-03 8.72100E-04 7.61509E-03 1.04952E-02 0.027969 6 7 40.0 90.0 90.0 4.37773E-02 6.75073E-03 1.25889E-03 8.00963E-03 1.05073E-02 0.028757 5 1 50.0 0.0 180.0 2.98981E-02 6.89754E-03 1.27021E-03 8.16775E-03 1.07358E-02 0.042485 5 4 50.0 45.0 135.0 3.18605E-02 6.85549E-03 1.32333E-03 8.17881E-03 1.06703E-02 0.041535 5 7 50.0 90.0 90.0 4.23505E-02 6.88869E-03 1.71080E-03 8.59949E-03 1.07220E-02 0.040396 4 1 60.0 0.0 180.0 3.54895E-02 6.85592E-03 2.95900E-03 9.81491E-03 1.06710E-02 0.083377 4 4 60.0 45.0 135.0 3.62927E-02 6.80685E-03 2.92196E-03 9.72881E-03 1.05946E-02 0.080511 4 7 60.0 90.0 90.0 4.48168E-02 6.93778E-03 3.41218E-03 1.03500E-02 1.07984E-02 0.076136 3 1 70.0 0.0 180.0 4.92420E-02 6.41176E-03 8.17354E-03 1.45853E-02 9.97967E-03 0.165987 3 4 70.0 45.0 135.0 4.78560E-02 6.43518E-03 7.86446E-03 1.42996E-02 1.00161E-02 0.164336 3 7 70.0 90.0 90.0 5.35019E-02 6.57051E-03 8.55223E-03 1.51227E-02 1.02268E-02 0.159849 2 1 80.0 0.0 180.0 8.36629E-02 5.52531E-03 2.03170E-02 2.58423E-02 8.59995E-03 0.242843 2 4 80.0 45.0 135.0 7.74702E-02 5.53173E-03 1.96507E-02 2.51825E-02 8.60994E-03 0.253655 2 7 80.0 90.0 90.0 7.69673E-02 5.65613E-03 2.05797E-02 2.62358E-02 8.80357E-03 0.267382 1 1 87.5 0.0 180.0 1.35268E-01 4.46743E-03 3.58318E-02 4.02992E-02 6.95340E-03 0.264896 1 4 87.5 45.0 135.0 1.21792E-01 4.25718E-03 3.56106E-02 3.98678E-02 6.62614E-03 0.292389 1 7 87.5 90.0 90.0 1.10804E-01 4.81858E-03 3.64451E-02 4.12637E-02 7.49994E-03 0.328916 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 1.008E-02 7.149E-02 8.778E-02 7.603E-02 1.133E-01 1.569E-02 4.539E+00 6.339E-03 9.866E-03 1 0.00 0.00 1.176E-02 1.332E-01 2.210E-02 2.510E-02 3.221E-02 1.823E-02 4.099E+00 3 5.06 5.00 5.891E-03 1.797E-01 1.438E-02 1.773E-02 2.543E-02 1.874E-02 4.527E+00 5 10.12 10.00 2.687E-03 9.191E-02 7.723E-03 9.217E-03 1.204E-02 1.891E-02 4.670E+00 7 15.17 15.00 1.186E-03 4.021E-02 3.770E-03 4.296E-03 5.131E-03 1.898E-02 4.724E+00 9 20.23 20.00 5.163E-04 1.715E-02 1.752E-03 1.916E-03 2.145E-03 1.901E-02 4.746E+00 Waveband 4 of 40 completed in 6.1 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 46.5 m at 395.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 390.0 nm to 400.0 nm: Ed(diffuse) = 3.149E-01 Ed(direct) = 4.830E-01 Ed(total) = 7.979E-01 Absorption Coefficients of Individual Components at 395.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0081 0.0402 0.0225 0.0163 0.0872 3 4.924 5.000 0.0081 0.0402 0.0225 0.0163 0.0872 5 9.848 10.000 0.0081 0.0402 0.0225 0.0163 0.0872 7 14.772 15.000 0.0081 0.0402 0.0225 0.0163 0.0872 9 19.696 20.000 0.0081 0.0402 0.0225 0.0163 0.0872 Scattering Coefficients of Individual Components at 395.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0080 0.6801 0.0000 0.2096 0.8976 3 4.924 5.000 0.0080 0.6801 0.0000 0.2096 0.8976 5 9.848 10.000 0.0080 0.6801 0.0000 0.2096 0.8976 7 14.772 15.000 0.0080 0.6801 0.0000 0.2096 0.8976 9 19.696 20.000 0.0080 0.6801 0.0000 0.2096 0.8976 Backscattering Coefficients of Individual Components at 395.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00400 0.00680 0.00000 0.00629 0.01709 3 4.924 5.000 0.00400 0.00680 0.00000 0.00629 0.01709 5 9.848 10.000 0.00400 0.00680 0.00000 0.00629 0.01709 7 14.772 15.000 0.00400 0.00680 0.00000 0.00629 0.01709 9 19.696 20.000 0.00400 0.00680 0.00000 0.00629 0.01709 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 0.0872 0.8976 0.9848 0.9115 0.01709 0.01904 3 4.924 5.000 0.0872 0.8976 0.9848 0.9115 0.01709 0.01904 5 9.848 10.000 0.0872 0.8976 0.9848 0.9115 0.01709 0.01904 7 14.772 15.000 0.0872 0.8976 0.9848 0.9115 0.01709 0.01904 9 19.696 20.000 0.0872 0.8976 0.9848 0.9115 0.01709 0.01904 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5835E-01 8 20.00 8.5506E-01 7 30.00 7.1273E-01 6 40.00 5.6065E-01 5 50.00 4.2144E-01 4 60.00 3.0721E-01 3 70.00 2.2067E-01 2 80.00 1.5915E-01 1 87.50 1.2492E-01 1 92.50 1.0502E-01 2 100.00 8.4415E-02 3 110.00 6.5391E-02 4 120.00 5.2379E-02 5 130.00 4.3651E-02 6 140.00 3.7844E-02 7 150.00 3.4046E-02 8 160.00 3.1673E-02 9 170.00 3.0372E-02 10 180.00 2.9912E-02 Asymptotic AOP values are MUu(inf) = 0.3917 MUd(inf) = 0.6693 MU(inf) = 0.5302 R(inf) = 0.0883 Lu(inf)/Ed(inf) = 0.018440 (1/sr) k(inf) = 0.1645 (1/m) absorp(check) = 0.0872 = 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 1.4748E-01 1.1930E+00 1.3404E+00 5.5628E-02 7.9790E-01 0.3772 0.6688 0.5538 6.9717E-02 1 0.00 0.00 1.3421E-01 9.7168E-01 1.1059E+00 5.8384E-02 8.0065E-01 0.4350 0.8240 0.6712 7.2922E-02 3 4.92 5.00 8.1162E-02 5.5186E-01 6.3302E-01 3.2895E-02 3.9743E-01 0.4053 0.7202 0.5759 8.2771E-02 5 9.85 10.00 3.9810E-02 2.6594E-01 3.0575E-01 1.5803E-02 1.8320E-01 0.3970 0.6889 0.5475 8.6266E-02 7 14.77 15.00 1.8263E-02 1.2124E-01 1.3951E-01 7.1944E-03 8.2114E-02 0.3939 0.6773 0.5370 8.7615E-02 9 19.70 20.00 8.1687E-03 5.4107E-02 6.2276E-02 3.2081E-03 3.6395E-02 0.3927 0.6726 0.5329 8.8147E-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 0.07425 0.09598 0.09334 0.08467 0.12635 0.12962 0.11684 5.000 5.010 5.005 0.12993 0.13577 0.13502 0.13672 0.14992 0.15112 0.14701 10.000 10.010 10.005 0.15133 0.15331 0.15305 0.15372 0.15854 0.15899 0.15751 15.000 15.010 15.005 0.15915 0.15987 0.15978 0.16008 0.16194 0.16212 0.16159 20.000 20.010 20.005 0.16222 0.16248 0.16245 0.16261 0.16334 0.16341 0.16324 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 8.49787E-02 7.66221E-03 4.62298E-03 1.22852E-02 9.60291E-03 0.054402 9 1 10.0 0.0 180.0 5.24353E-02 7.77737E-03 1.65639E-03 9.43376E-03 9.74725E-03 0.031589 9 4 10.0 45.0 135.0 5.76123E-02 7.74915E-03 1.89219E-03 9.64134E-03 9.71188E-03 0.032844 9 7 10.0 90.0 90.0 7.78390E-02 7.74546E-03 3.51185E-03 1.12573E-02 9.70726E-03 0.045117 8 1 20.0 0.0 180.0 4.11872E-02 7.87177E-03 9.94217E-04 8.86598E-03 9.86555E-03 0.024139 8 4 20.0 45.0 135.0 4.58525E-02 7.80098E-03 1.15516E-03 8.95614E-03 9.77683E-03 0.025193 8 7 20.0 90.0 90.0 6.74239E-02 7.81427E-03 2.27954E-03 1.00938E-02 9.79350E-03 0.033809 7 1 30.0 0.0 180.0 3.57115E-02 8.01780E-03 8.59667E-04 8.87747E-03 1.00486E-02 0.024073 7 4 30.0 45.0 135.0 3.95842E-02 8.01724E-03 9.64244E-04 8.98149E-03 1.00479E-02 0.024359 7 7 30.0 90.0 90.0 5.77892E-02 8.00314E-03 1.59002E-03 9.59316E-03 1.00302E-02 0.027514 6 1 40.0 0.0 180.0 3.38970E-02 8.15540E-03 9.55845E-04 9.11125E-03 1.02210E-02 0.028198 6 4 40.0 45.0 135.0 3.70646E-02 8.14837E-03 1.03666E-03 9.18503E-03 1.02122E-02 0.027969 6 7 40.0 90.0 90.0 5.20381E-02 8.16456E-03 1.49697E-03 9.66153E-03 1.02325E-02 0.028767 5 1 50.0 0.0 180.0 3.55399E-02 8.33271E-03 1.50990E-03 9.84261E-03 1.04433E-02 0.042485 5 4 50.0 45.0 135.0 3.78725E-02 8.28465E-03 1.57304E-03 9.85768E-03 1.03830E-02 0.041535 5 7 50.0 90.0 90.0 5.03420E-02 8.33365E-03 2.03363E-03 1.03673E-02 1.04444E-02 0.040396 4 1 60.0 0.0 180.0 4.21864E-02 8.28234E-03 3.51736E-03 1.17997E-02 1.03801E-02 0.083377 4 4 60.0 45.0 135.0 4.31411E-02 8.22633E-03 3.47333E-03 1.16997E-02 1.03099E-02 0.080511 4 7 60.0 90.0 90.0 5.32736E-02 8.39543E-03 4.05606E-03 1.24515E-02 1.05219E-02 0.076136 3 1 70.0 0.0 180.0 5.85340E-02 7.74584E-03 9.71588E-03 1.74617E-02 9.70774E-03 0.165987 3 4 70.0 45.0 135.0 5.68864E-02 7.77780E-03 9.34848E-03 1.71263E-02 9.74778E-03 0.164336 3 7 70.0 90.0 90.0 6.35977E-02 7.95372E-03 1.01660E-02 1.81197E-02 9.96826E-03 0.159849 2 1 80.0 0.0 180.0 9.94501E-02 6.67505E-03 2.41508E-02 3.08258E-02 8.36573E-03 0.242843 2 4 80.0 45.0 135.0 9.20888E-02 6.68642E-03 2.33588E-02 3.00452E-02 8.37997E-03 0.253655 2 7 80.0 90.0 90.0 9.14910E-02 6.84899E-03 2.44630E-02 3.13120E-02 8.58373E-03 0.267382 1 1 87.5 0.0 180.0 1.60792E-01 5.39715E-03 4.25933E-02 4.79904E-02 6.76415E-03 0.264896 1 4 87.5 45.0 135.0 1.44774E-01 5.14628E-03 4.23303E-02 4.74766E-02 6.44974E-03 0.292389 1 7 87.5 90.0 90.0 1.31712E-01 5.83663E-03 4.33223E-02 4.91589E-02 7.31495E-03 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 395.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.229E-02 8.498E-02 1.044E-01 9.044E-02 1.347E-01 1.540E-02 4.528E+00 7.662E-03 9.603E-03 1 0.00 0.00 1.421E-02 1.584E-01 2.671E-02 3.045E-02 3.933E-02 1.775E-02 4.108E+00 3 4.92 5.00 7.249E-03 2.251E-01 1.766E-02 2.190E-02 3.171E-02 1.824E-02 4.538E+00 5 9.85 10.00 3.372E-03 1.188E-01 9.688E-03 1.165E-02 1.539E-02 1.841E-02 4.687E+00 7 14.77 15.00 1.516E-03 5.317E-02 4.834E-03 5.549E-03 6.703E-03 1.846E-02 4.745E+00 9 19.70 20.00 6.727E-04 2.313E-02 2.294E-03 2.527E-03 2.855E-03 1.848E-02 4.769E+00 Waveband 5 of 40 completed in 6.0 sec. * * * * * Output for wavelength band 6 (400.0 to 410.0 nm; nominal wavelength = 405.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 46.5 m at 405.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 400.0 nm to 410.0 nm: Ed(diffuse) = 4.287E-01 Ed(direct) = 6.992E-01 Ed(total) = 1.128E+00 Absorption Coefficients of Individual Components at 405.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0053 0.0468 0.0196 0.0190 0.0907 3 4.812 5.000 0.0053 0.0468 0.0196 0.0190 0.0907 5 9.624 10.000 0.0053 0.0468 0.0196 0.0190 0.0907 7 14.437 15.000 0.0053 0.0468 0.0196 0.0190 0.0907 9 19.249 20.000 0.0053 0.0468 0.0196 0.0190 0.0907 Scattering Coefficients of Individual Components at 405.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0072 0.6633 0.0000 0.2013 0.8718 3 4.812 5.000 0.0072 0.6633 0.0000 0.2013 0.8718 5 9.624 10.000 0.0072 0.6633 0.0000 0.2013 0.8718 7 14.437 15.000 0.0072 0.6633 0.0000 0.2013 0.8718 9 19.249 20.000 0.0072 0.6633 0.0000 0.2013 0.8718 Backscattering Coefficients of Individual Components at 405.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00359 0.00663 0.00000 0.00604 0.01626 3 4.812 5.000 0.00359 0.00663 0.00000 0.00604 0.01626 5 9.624 10.000 0.00359 0.00663 0.00000 0.00604 0.01626 7 14.437 15.000 0.00359 0.00663 0.00000 0.00604 0.01626 9 19.249 20.000 0.00359 0.00663 0.00000 0.00604 0.01626 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 0.0907 0.8718 0.9624 0.9058 0.01626 0.01865 3 4.812 5.000 0.0907 0.8718 0.9624 0.9058 0.01626 0.01865 5 9.624 10.000 0.0907 0.8718 0.9624 0.9058 0.01626 0.01865 7 14.437 15.000 0.0907 0.8718 0.9624 0.9058 0.01626 0.01865 9 19.249 20.000 0.0907 0.8718 0.9624 0.9058 0.01626 0.01865 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5663E-01 8 20.00 8.4947E-01 7 30.00 7.0278E-01 6 40.00 5.4751E-01 5 50.00 4.0701E-01 4 60.00 2.9320E-01 3 70.00 2.0812E-01 2 80.00 1.4844E-01 1 87.50 1.1563E-01 1 92.50 9.6709E-02 2 100.00 7.7256E-02 3 110.00 5.9441E-02 4 120.00 4.7364E-02 5 130.00 3.9326E-02 6 140.00 3.4013E-02 7 150.00 3.0557E-02 8 160.00 2.8406E-02 9 170.00 2.7231E-02 10 180.00 2.6816E-02 Asymptotic AOP values are MUu(inf) = 0.3893 MUd(inf) = 0.6749 MU(inf) = 0.5431 R(inf) = 0.0816 Lu(inf)/Ed(inf) = 0.016896 (1/sr) k(inf) = 0.1670 (1/m) absorp(check) = 0.0907 = 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 1.9904E-01 1.6724E+00 1.8714E+00 7.5132E-02 1.1279E+00 0.3775 0.6745 0.5626 6.6609E-02 1 0.00 0.00 1.7570E-01 1.3614E+00 1.5371E+00 7.6165E-02 1.1290E+00 0.4335 0.8293 0.6849 6.7465E-02 3 4.81 5.00 1.0517E-01 7.6240E-01 8.6758E-01 4.2441E-02 5.5384E-01 0.4035 0.7264 0.5895 7.6630E-02 5 9.62 10.00 5.1056E-02 3.6324E-01 4.1429E-01 2.0170E-02 2.5243E-01 0.3951 0.6950 0.5606 7.9901E-02 7 14.44 15.00 2.3164E-02 1.6373E-01 1.8690E-01 9.0779E-03 1.1185E-01 0.3919 0.6831 0.5499 8.1165E-02 9 19.25 20.00 1.0239E-02 7.2210E-02 8.2449E-02 3.9995E-03 4.8982E-02 0.3906 0.6783 0.5456 8.1653E-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 0.07422 0.09689 0.09430 0.08651 0.12879 0.13185 0.11935 5.000 5.010 5.005 0.13199 0.13816 0.13741 0.13888 0.15217 0.15328 0.14933 10.000 10.010 10.005 0.15347 0.15555 0.15530 0.15594 0.16081 0.16124 0.15987 15.000 15.010 15.005 0.16145 0.16219 0.16210 0.16243 0.16430 0.16446 0.16403 20.000 20.010 20.005 0.16462 0.16486 0.16483 0.16504 0.16575 0.16581 0.16574 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 405.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.15686E-01 9.95583E-03 6.50596E-03 1.64618E-02 8.82650E-03 0.056238 9 1 10.0 0.0 180.0 7.13830E-02 1.01074E-02 2.28345E-03 1.23908E-02 8.96084E-03 0.031989 9 4 10.0 45.0 135.0 7.84307E-02 1.00699E-02 2.61264E-03 1.26825E-02 8.92760E-03 0.033311 9 7 10.0 90.0 90.0 1.05966E-01 1.00635E-02 4.91231E-03 1.49758E-02 8.92195E-03 0.046357 8 1 20.0 0.0 180.0 5.60704E-02 1.02308E-02 1.35492E-03 1.15857E-02 9.07024E-03 0.024165 8 4 20.0 45.0 135.0 6.24214E-02 1.01373E-02 1.57631E-03 1.17136E-02 8.98741E-03 0.025253 8 7 20.0 90.0 90.0 9.17877E-02 1.01523E-02 3.15324E-03 1.33055E-02 9.00067E-03 0.034354 7 1 30.0 0.0 180.0 4.86160E-02 1.04210E-02 1.17031E-03 1.15913E-02 9.23888E-03 0.024073 7 4 30.0 45.0 135.0 5.38891E-02 1.04182E-02 1.31286E-03 1.17311E-02 9.23647E-03 0.024362 7 7 30.0 90.0 90.0 7.86649E-02 1.03972E-02 2.17442E-03 1.25716E-02 9.21780E-03 0.027642 6 1 40.0 0.0 180.0 4.61458E-02 1.05999E-02 1.30124E-03 1.19012E-02 9.39753E-03 0.028198 6 4 40.0 45.0 135.0 5.04580E-02 1.05884E-02 1.41127E-03 1.19996E-02 9.38729E-03 0.027969 6 7 40.0 90.0 90.0 7.08422E-02 1.06072E-02 2.03855E-03 1.26457E-02 9.40398E-03 0.028776 5 1 50.0 0.0 180.0 4.83824E-02 1.08308E-02 2.05551E-03 1.28863E-02 9.60223E-03 0.042485 5 4 50.0 45.0 135.0 5.15579E-02 1.07660E-02 2.14146E-03 1.29074E-02 9.54475E-03 0.041535 5 7 50.0 90.0 90.0 6.85333E-02 1.08292E-02 2.76849E-03 1.35977E-02 9.60085E-03 0.040396 4 1 60.0 0.0 180.0 5.74306E-02 1.07661E-02 4.78837E-03 1.55545E-02 9.54489E-03 0.083377 4 4 60.0 45.0 135.0 5.87304E-02 1.06913E-02 4.72843E-03 1.54197E-02 9.47853E-03 0.080511 4 7 60.0 90.0 90.0 7.25243E-02 1.09130E-02 5.52173E-03 1.64347E-02 9.67508E-03 0.076136 3 1 70.0 0.0 180.0 7.96854E-02 1.00707E-02 1.32267E-02 2.32974E-02 8.92834E-03 0.165987 3 4 70.0 45.0 135.0 7.74426E-02 1.01110E-02 1.27266E-02 2.28376E-02 8.96410E-03 0.164336 3 7 70.0 90.0 90.0 8.65789E-02 1.03450E-02 1.38396E-02 2.41846E-02 9.17157E-03 0.159849 2 1 80.0 0.0 180.0 1.35387E-01 8.68065E-03 3.28778E-02 4.15584E-02 7.69597E-03 0.242843 2 4 80.0 45.0 135.0 1.25365E-01 8.69513E-03 3.17996E-02 4.04947E-02 7.70881E-03 0.253655 2 7 80.0 90.0 90.0 1.24552E-01 8.91401E-03 3.33028E-02 4.22168E-02 7.90287E-03 0.267382 1 1 87.5 0.0 180.0 2.18895E-01 7.02129E-03 5.79845E-02 6.50058E-02 6.22485E-03 0.264896 1 4 87.5 45.0 135.0 1.97088E-01 6.69532E-03 5.76265E-02 6.43218E-02 5.93585E-03 0.292389 1 7 87.5 90.0 90.0 1.79307E-01 7.60278E-03 5.89769E-02 6.65797E-02 6.74037E-03 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 405.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.646E-02 1.157E-01 1.420E-01 1.229E-01 1.832E-01 1.459E-02 4.564E+00 9.956E-03 8.827E-03 1 0.00 0.00 1.846E-02 2.156E-01 3.491E-02 4.000E-02 5.219E-02 1.636E-02 4.125E+00 3 4.81 5.00 9.307E-03 3.125E-01 2.292E-02 2.864E-02 4.203E-02 1.680E-02 4.560E+00 5 9.62 10.00 4.279E-03 1.656E-01 1.244E-02 1.509E-02 2.023E-02 1.695E-02 4.713E+00 7 14.44 15.00 1.901E-03 7.380E-02 6.149E-03 7.122E-03 8.719E-03 1.700E-02 4.775E+00 9 19.25 20.00 8.331E-04 3.180E-02 2.890E-03 3.209E-03 3.666E-03 1.701E-02 4.801E+00 Waveband 6 of 40 completed in 5.9 sec. * * * * * Output for wavelength band 7 (410.0 to 420.0 nm; nominal wavelength = 415.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 46.5 m at 415.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 410.0 nm to 420.0 nm: Ed(diffuse) = 4.394E-01 Ed(direct) = 7.590E-01 Ed(total) = 1.198E+00 Absorption Coefficients of Individual Components at 415.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0044 0.0528 0.0170 0.0214 0.0957 3 4.715 5.000 0.0044 0.0528 0.0170 0.0214 0.0957 5 9.430 10.000 0.0044 0.0528 0.0170 0.0214 0.0957 7 14.145 15.000 0.0044 0.0528 0.0170 0.0214 0.0957 9 18.860 20.000 0.0044 0.0528 0.0170 0.0214 0.0957 Scattering Coefficients of Individual Components at 415.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0065 0.6473 0.0000 0.1936 0.8473 3 4.715 5.000 0.0065 0.6473 0.0000 0.1936 0.8473 5 9.430 10.000 0.0065 0.6473 0.0000 0.1936 0.8473 7 14.145 15.000 0.0065 0.6473 0.0000 0.1936 0.8473 9 18.860 20.000 0.0065 0.6473 0.0000 0.1936 0.8473 Backscattering Coefficients of Individual Components at 415.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00323 0.00647 0.00000 0.00581 0.01551 3 4.715 5.000 0.00323 0.00647 0.00000 0.00581 0.01551 5 9.430 10.000 0.00323 0.00647 0.00000 0.00581 0.01551 7 14.145 15.000 0.00323 0.00647 0.00000 0.00581 0.01551 9 18.860 20.000 0.00323 0.00647 0.00000 0.00581 0.01551 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 0.0957 0.8473 0.9430 0.8985 0.01551 0.01831 3 4.715 5.000 0.0957 0.8473 0.9430 0.8985 0.01551 0.01831 5 9.430 10.000 0.0957 0.8473 0.9430 0.8985 0.01551 0.01831 7 14.145 15.000 0.0957 0.8473 0.9430 0.8985 0.01551 0.01831 9 18.860 20.000 0.0957 0.8473 0.9430 0.8985 0.01551 0.01831 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5450E-01 8 20.00 8.4253E-01 7 30.00 6.9057E-01 6 40.00 5.3160E-01 5 50.00 3.8982E-01 4 60.00 2.7680E-01 3 70.00 1.9370E-01 2 80.00 1.3634E-01 1 87.50 1.0525E-01 1 92.50 8.7517E-02 2 100.00 6.9423E-02 3 110.00 5.3012E-02 4 120.00 4.2004E-02 5 130.00 3.4745E-02 6 140.00 2.9982E-02 7 150.00 2.6903E-02 8 160.00 2.4997E-02 9 170.00 2.3959E-02 10 180.00 2.3593E-02 Asymptotic AOP values are MUu(inf) = 0.3868 MUd(inf) = 0.6817 MU(inf) = 0.5580 R(inf) = 0.0743 Lu(inf)/Ed(inf) = 0.015267 (1/sr) k(inf) = 0.1715 (1/m) absorp(check) = 0.0957 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 415.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.0103E-01 1.7632E+00 1.9643E+00 7.5767E-02 1.1984E+00 0.3769 0.6797 0.5716 6.3221E-02 1 0.00 0.00 1.6977E-01 1.4319E+00 1.6017E+00 7.3266E-02 1.1959E+00 0.4316 0.8352 0.7009 6.1263E-02 3 4.72 5.00 9.9736E-02 7.8250E-01 8.8224E-01 4.0027E-02 5.7397E-01 0.4013 0.7335 0.6052 6.9738E-02 5 9.43 10.00 4.7453E-02 3.6465E-01 4.1211E-01 1.8641E-02 2.5601E-01 0.3928 0.7021 0.5760 7.2813E-02 7 14.15 15.00 2.1088E-02 1.6083E-01 1.8192E-01 8.2166E-03 1.1098E-01 0.3896 0.6901 0.5649 7.4035E-02 9 18.86 20.00 9.1256E-03 6.9401E-02 7.8527E-02 3.5436E-03 4.7549E-02 0.3883 0.6851 0.5604 7.4526E-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 0.07470 0.09942 0.09680 0.08953 0.13315 0.13599 0.12336 5.000 5.010 5.005 0.13598 0.14273 0.14197 0.14290 0.15650 0.15752 0.15344 10.000 10.010 10.005 0.15754 0.15990 0.15963 0.16005 0.16515 0.16555 0.16405 15.000 15.010 15.005 0.16566 0.16655 0.16644 0.16666 0.16868 0.16884 0.16830 20.000 20.010 20.005 0.16893 0.16926 0.16922 0.16936 0.17017 0.17023 0.17008 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 415.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.18579E-01 9.53166E-03 6.88404E-03 1.64157E-02 7.95333E-03 0.058054 9 1 10.0 0.0 180.0 7.31681E-02 9.68035E-03 2.36947E-03 1.20498E-02 8.07741E-03 0.032384 9 4 10.0 45.0 135.0 8.03920E-02 9.64302E-03 2.71518E-03 1.23582E-02 8.04626E-03 0.033774 9 7 10.0 90.0 90.0 1.08616E-01 9.63397E-03 5.16841E-03 1.48024E-02 8.03871E-03 0.047584 8 1 20.0 0.0 180.0 5.74725E-02 9.80006E-03 1.39027E-03 1.11903E-02 8.17730E-03 0.024190 8 4 20.0 45.0 135.0 6.39824E-02 9.70813E-03 1.61952E-03 1.13277E-02 8.10059E-03 0.025312 8 7 20.0 90.0 90.0 9.40831E-02 9.71793E-03 3.28278E-03 1.30007E-02 8.10876E-03 0.034892 7 1 30.0 0.0 180.0 4.98318E-02 9.98327E-03 1.19958E-03 1.11828E-02 8.33016E-03 0.024072 7 4 30.0 45.0 135.0 5.52379E-02 9.97728E-03 1.34587E-03 1.13231E-02 8.32517E-03 0.024365 7 7 30.0 90.0 90.0 8.06253E-02 9.95144E-03 2.23876E-03 1.21902E-02 8.30360E-03 0.027767 6 1 40.0 0.0 180.0 4.72998E-02 1.01552E-02 1.33378E-03 1.14889E-02 8.47359E-03 0.028198 6 4 40.0 45.0 135.0 5.17198E-02 1.01399E-02 1.44656E-03 1.15864E-02 8.46084E-03 0.027969 6 7 40.0 90.0 90.0 7.26138E-02 1.01521E-02 2.09017E-03 1.22423E-02 8.47105E-03 0.028785 5 1 50.0 0.0 180.0 4.95923E-02 1.03769E-02 2.10691E-03 1.24838E-02 8.65861E-03 0.042485 5 4 50.0 45.0 135.0 5.28472E-02 1.03104E-02 2.19501E-03 1.25054E-02 8.60315E-03 0.041535 5 7 50.0 90.0 90.0 7.02471E-02 1.03668E-02 2.83772E-03 1.32045E-02 8.65021E-03 0.040396 4 1 60.0 0.0 180.0 5.88668E-02 1.03158E-02 4.90811E-03 1.52239E-02 8.60765E-03 0.083377 4 4 60.0 45.0 135.0 6.01990E-02 1.02400E-02 4.84667E-03 1.50866E-02 8.54436E-03 0.080511 4 7 60.0 90.0 90.0 7.43379E-02 1.04505E-02 5.65981E-03 1.61103E-02 8.72002E-03 0.076136 3 1 70.0 0.0 180.0 8.16781E-02 9.65162E-03 1.35575E-02 2.32091E-02 8.05344E-03 0.165987 3 4 70.0 45.0 135.0 7.93792E-02 9.68713E-03 1.30448E-02 2.27320E-02 8.08306E-03 0.164336 3 7 70.0 90.0 90.0 8.87440E-02 9.91355E-03 1.41856E-02 2.40992E-02 8.27199E-03 0.159849 2 1 80.0 0.0 180.0 1.38772E-01 8.32184E-03 3.36999E-02 4.20218E-02 6.94385E-03 0.242843 2 4 80.0 45.0 135.0 1.28500E-01 8.33381E-03 3.25948E-02 4.09286E-02 6.95384E-03 0.253655 2 7 80.0 90.0 90.0 1.27666E-01 8.54884E-03 3.41356E-02 4.26845E-02 7.13326E-03 0.267382 1 1 87.5 0.0 180.0 2.24369E-01 6.73397E-03 5.94345E-02 6.61685E-02 5.61891E-03 0.264896 1 4 87.5 45.0 135.0 2.02017E-01 6.42059E-03 5.90676E-02 6.54881E-02 5.35742E-03 0.292389 1 7 87.5 90.0 90.0 1.83791E-01 7.29874E-03 6.04518E-02 6.77505E-02 6.09016E-03 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 415.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.642E-02 1.186E-01 1.453E-01 1.258E-01 1.876E-01 1.370E-02 4.616E+00 9.532E-03 7.953E-03 1 0.00 0.00 1.768E-02 2.209E-01 3.369E-02 3.883E-02 5.127E-02 1.478E-02 4.144E+00 3 4.72 5.00 8.730E-03 3.230E-01 2.181E-02 2.750E-02 4.094E-02 1.521E-02 4.585E+00 5 9.43 10.00 3.932E-03 1.702E-01 1.160E-02 1.421E-02 1.933E-02 1.536E-02 4.741E+00 7 14.15 15.00 1.710E-03 7.487E-02 5.623E-03 6.574E-03 8.160E-03 1.541E-02 4.804E+00 9 18.86 20.00 7.335E-04 3.167E-02 2.592E-03 2.902E-03 3.354E-03 1.543E-02 4.831E+00 Waveband 7 of 40 completed in 5.9 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 46.5 m at 425.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 420.0 nm to 430.0 nm: Ed(diffuse) = 4.082E-01 Ed(direct) = 7.412E-01 Ed(total) = 1.149E+00 Absorption Coefficients of Individual Components at 425.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0048 0.0558 0.0148 0.0227 0.0980 3 4.616 5.000 0.0048 0.0558 0.0148 0.0227 0.0980 5 9.232 10.000 0.0048 0.0558 0.0148 0.0227 0.0980 7 13.848 15.000 0.0048 0.0558 0.0148 0.0227 0.0980 9 18.464 20.000 0.0048 0.0558 0.0148 0.0227 0.0980 Scattering Coefficients of Individual Components at 425.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0058 0.6320 0.0000 0.1873 0.8252 3 4.616 5.000 0.0058 0.6320 0.0000 0.1873 0.8252 5 9.232 10.000 0.0058 0.6320 0.0000 0.1873 0.8252 7 13.848 15.000 0.0058 0.6320 0.0000 0.1873 0.8252 9 18.464 20.000 0.0058 0.6320 0.0000 0.1873 0.8252 Backscattering Coefficients of Individual Components at 425.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00291 0.00632 0.00000 0.00562 0.01485 3 4.616 5.000 0.00291 0.00632 0.00000 0.00562 0.01485 5 9.232 10.000 0.00291 0.00632 0.00000 0.00562 0.01485 7 13.848 15.000 0.00291 0.00632 0.00000 0.00562 0.01485 9 18.464 20.000 0.00291 0.00632 0.00000 0.00562 0.01485 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 0.0980 0.8252 0.9232 0.8938 0.01485 0.01800 3 4.616 5.000 0.0980 0.8252 0.9232 0.8938 0.01485 0.01800 5 9.232 10.000 0.0980 0.8252 0.9232 0.8938 0.01485 0.01800 7 13.848 15.000 0.0980 0.8252 0.9232 0.8938 0.01485 0.01800 9 18.464 20.000 0.0980 0.8252 0.9232 0.8938 0.01485 0.01800 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5313E-01 8 20.00 8.3811E-01 7 30.00 6.8284E-01 6 40.00 5.2164E-01 5 50.00 3.7918E-01 4 60.00 2.6675E-01 3 70.00 1.8496E-01 2 80.00 1.2907E-01 1 87.50 9.9057E-02 1 92.50 8.2055E-02 2 100.00 6.4786E-02 3 110.00 4.9218E-02 4 120.00 3.8845E-02 5 130.00 3.2043E-02 6 140.00 2.7601E-02 7 150.00 2.4742E-02 8 160.00 2.2977E-02 9 170.00 2.2017E-02 10 180.00 2.1679E-02 Asymptotic AOP values are MUu(inf) = 0.3850 MUd(inf) = 0.6859 MU(inf) = 0.5675 R(inf) = 0.0698 Lu(inf)/Ed(inf) = 0.014267 (1/sr) k(inf) = 0.1728 (1/m) absorp(check) = 0.0980 = 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 1.8578E-01 1.6797E+00 1.8655E+00 7.0152E-02 1.1494E+00 0.3776 0.6843 0.5785 6.1034E-02 1 0.00 0.00 1.5295E-01 1.3645E+00 1.5175E+00 6.5806E-02 1.1450E+00 0.4302 0.8391 0.7112 5.7471E-02 3 4.62 5.00 8.9428E-02 7.3940E-01 8.2883E-01 3.5765E-02 5.4605E-01 0.3999 0.7385 0.6157 6.5496E-02 5 9.23 10.00 4.2378E-02 3.4265E-01 3.8503E-01 1.6585E-02 2.4223E-01 0.3913 0.7069 0.5860 6.8467E-02 7 13.85 15.00 1.8750E-02 1.5033E-01 1.6908E-01 7.2767E-03 1.0443E-01 0.3881 0.6947 0.5746 6.9679E-02 9 18.46 20.00 8.0733E-03 6.4514E-02 7.2587E-02 3.1224E-03 4.4487E-02 0.3868 0.6896 0.5699 7.0186E-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 0.07420 0.10016 0.09754 0.09044 0.13461 0.13731 0.12465 5.000 5.010 5.005 0.13681 0.14399 0.14321 0.14378 0.15763 0.15860 0.15440 10.000 10.010 10.005 0.15838 0.16095 0.16067 0.16092 0.16624 0.16663 0.16500 15.000 15.010 15.005 0.16660 0.16762 0.16751 0.16764 0.16980 0.16997 0.16932 20.000 20.010 20.005 0.16998 0.17039 0.17034 0.17042 0.17133 0.17139 0.17115 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 425.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.10138E-01 8.52981E-03 6.57864E-03 1.51085E-02 7.42115E-03 0.059731 9 1 10.0 0.0 180.0 6.79596E-02 8.66397E-03 2.22558E-03 1.08896E-02 7.53787E-03 0.032749 9 4 10.0 45.0 135.0 7.46693E-02 8.63007E-03 2.55379E-03 1.11839E-02 7.50837E-03 0.034201 9 7 10.0 90.0 90.0 1.00884E-01 8.62112E-03 4.91474E-03 1.35359E-02 7.50059E-03 0.048717 8 1 20.0 0.0 180.0 5.33813E-02 8.77161E-03 1.29256E-03 1.00642E-02 7.63152E-03 0.024214 8 4 20.0 45.0 135.0 5.94278E-02 8.68846E-03 1.50748E-03 1.01959E-02 7.55918E-03 0.025367 8 7 20.0 90.0 90.0 8.73858E-02 8.69603E-03 3.09254E-03 1.17886E-02 7.56576E-03 0.035390 7 1 30.0 0.0 180.0 4.62845E-02 8.93591E-03 1.11418E-03 1.00501E-02 7.77446E-03 0.024072 7 4 30.0 45.0 135.0 5.13067E-02 8.92935E-03 1.25022E-03 1.01796E-02 7.76876E-03 0.024368 7 7 30.0 90.0 90.0 7.48801E-02 8.90494E-03 2.08794E-03 1.09929E-02 7.74752E-03 0.027884 6 1 40.0 0.0 180.0 4.39327E-02 9.08991E-03 1.23883E-03 1.03287E-02 7.90845E-03 0.028198 6 4 40.0 45.0 135.0 4.80381E-02 9.07482E-03 1.34358E-03 1.04184E-02 7.89532E-03 0.027969 6 7 40.0 90.0 90.0 6.74447E-02 9.08518E-03 1.94194E-03 1.10271E-02 7.90433E-03 0.028793 5 1 50.0 0.0 180.0 4.60620E-02 9.28870E-03 1.95693E-03 1.12456E-02 8.08140E-03 0.042485 5 4 50.0 45.0 135.0 4.90853E-02 9.22792E-03 2.03876E-03 1.12667E-02 8.02852E-03 0.041535 5 7 50.0 90.0 90.0 6.52465E-02 9.27939E-03 2.63572E-03 1.19151E-02 8.07330E-03 0.040396 4 1 60.0 0.0 180.0 5.46763E-02 9.23457E-03 4.55872E-03 1.37933E-02 8.03430E-03 0.083377 4 4 60.0 45.0 135.0 5.59137E-02 9.16569E-03 4.50166E-03 1.36673E-02 7.97437E-03 0.080511 4 7 60.0 90.0 90.0 6.90461E-02 9.35711E-03 5.25692E-03 1.46140E-02 8.14092E-03 0.076136 3 1 70.0 0.0 180.0 7.58638E-02 8.64125E-03 1.25924E-02 2.12337E-02 7.51810E-03 0.165987 3 4 70.0 45.0 135.0 7.37285E-02 8.67273E-03 1.21162E-02 2.07890E-02 7.54549E-03 0.164336 3 7 70.0 90.0 90.0 8.24268E-02 8.88113E-03 1.31758E-02 2.20570E-02 7.72680E-03 0.159849 2 1 80.0 0.0 180.0 1.28894E-01 7.45207E-03 3.13010E-02 3.87531E-02 6.48348E-03 0.242843 2 4 80.0 45.0 135.0 1.19353E-01 7.46313E-03 3.02746E-02 3.77377E-02 6.49311E-03 0.253655 2 7 80.0 90.0 90.0 1.18578E-01 7.66294E-03 3.17057E-02 3.93686E-02 6.66695E-03 0.267382 1 1 87.5 0.0 180.0 2.08398E-01 6.03181E-03 5.52036E-02 6.12355E-02 5.24783E-03 0.264896 1 4 87.5 45.0 135.0 1.87636E-01 5.75189E-03 5.48628E-02 6.06147E-02 5.00428E-03 0.292389 1 7 87.5 90.0 90.0 1.70708E-01 6.54709E-03 5.61485E-02 6.26956E-02 5.69613E-03 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 425.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.511E-02 1.101E-01 1.348E-01 1.167E-01 1.741E-01 1.314E-02 4.643E+00 8.530E-03 7.421E-03 1 0.00 0.00 1.582E-02 2.052E-01 3.030E-02 3.509E-02 4.674E-02 1.382E-02 4.160E+00 3 4.62 5.00 7.770E-03 3.055E-01 1.956E-02 2.483E-02 3.739E-02 1.423E-02 4.603E+00 5 9.23 10.00 3.483E-03 1.622E-01 1.036E-02 1.278E-02 1.762E-02 1.438E-02 4.762E+00 7 13.85 15.00 1.508E-03 7.143E-02 5.002E-03 5.894E-03 7.405E-03 1.444E-02 4.827E+00 9 18.46 20.00 6.432E-04 3.012E-02 2.298E-03 2.592E-03 3.026E-03 1.446E-02 4.854E+00 Waveband 8 of 40 completed in 5.9 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 46.5 m at 435.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 430.0 nm to 440.0 nm: Ed(diffuse) = 4.073E-01 Ed(direct) = 7.763E-01 Ed(total) = 1.184E+00 Absorption Coefficients of Individual Components at 435.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0053 0.0600 0.0129 0.0244 0.1025 3 4.530 5.000 0.0053 0.0600 0.0129 0.0244 0.1025 5 9.061 10.000 0.0053 0.0600 0.0129 0.0244 0.1025 7 13.591 15.000 0.0053 0.0600 0.0129 0.0244 0.1025 9 18.122 20.000 0.0053 0.0600 0.0129 0.0244 0.1025 Scattering Coefficients of Individual Components at 435.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0053 0.6175 0.0000 0.1808 0.8035 3 4.530 5.000 0.0053 0.6175 0.0000 0.1808 0.8035 5 9.061 10.000 0.0053 0.6175 0.0000 0.1808 0.8035 7 13.591 15.000 0.0053 0.6175 0.0000 0.1808 0.8035 9 18.122 20.000 0.0053 0.6175 0.0000 0.1808 0.8035 Backscattering Coefficients of Individual Components at 435.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00264 0.00618 0.00000 0.00542 0.01423 3 4.530 5.000 0.00264 0.00618 0.00000 0.00542 0.01423 5 9.061 10.000 0.00264 0.00618 0.00000 0.00542 0.01423 7 13.591 15.000 0.00264 0.00618 0.00000 0.00542 0.01423 9 18.122 20.000 0.00264 0.00618 0.00000 0.00542 0.01423 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 0.1025 0.8035 0.9061 0.8868 0.01423 0.01771 3 4.530 5.000 0.1025 0.8035 0.9061 0.8868 0.01423 0.01771 5 9.061 10.000 0.1025 0.8035 0.9061 0.8868 0.01423 0.01771 7 13.591 15.000 0.1025 0.8035 0.9061 0.8868 0.01423 0.01771 9 18.122 20.000 0.1025 0.8035 0.9061 0.8868 0.01423 0.01771 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5113E-01 8 20.00 8.3168E-01 7 30.00 6.7172E-01 6 40.00 5.0748E-01 5 50.00 3.6427E-01 4 60.00 2.5291E-01 3 70.00 1.7312E-01 2 80.00 1.1940E-01 1 87.50 9.0909E-02 1 92.50 7.4931E-02 2 100.00 5.8806E-02 3 110.00 4.4391E-02 4 120.00 3.4873E-02 5 130.00 2.8680E-02 6 140.00 2.4663E-02 7 150.00 2.2090E-02 8 160.00 2.0508E-02 9 170.00 1.9652E-02 10 180.00 1.9350E-02 Asymptotic AOP values are MUu(inf) = 0.3830 MUd(inf) = 0.6920 MU(inf) = 0.5802 R(inf) = 0.0642 Lu(inf)/Ed(inf) = 0.013045 (1/sr) k(inf) = 0.1767 (1/m) absorp(check) = 0.1025 = 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 1.8327E-01 1.7187E+00 1.9020E+00 6.9170E-02 1.1836E+00 0.3774 0.6887 0.5859 5.8439E-02 1 0.00 0.00 1.4471E-01 1.3941E+00 1.5388E+00 6.2005E-02 1.1764E+00 0.4285 0.8439 0.7242 5.2705E-02 3 4.53 5.00 8.3127E-02 7.3875E-01 8.2187E-01 3.3086E-02 5.5009E-01 0.3980 0.7446 0.6291 6.0146E-02 5 9.06 10.00 3.8686E-02 3.3563E-01 3.7431E-01 1.5066E-02 2.3938E-01 0.3895 0.7132 0.5993 6.2940E-02 7 13.59 15.00 1.6806E-02 1.4444E-01 1.6124E-01 6.4903E-03 1.0123E-01 0.3862 0.7009 0.5876 6.4112E-02 9 18.12 20.00 7.1029E-03 6.0798E-02 6.7901E-02 2.7335E-03 4.2297E-02 0.3848 0.6957 0.5827 6.4627E-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 0.07502 0.10299 0.10036 0.09338 0.13857 0.14109 0.12837 5.000 5.010 5.005 0.14045 0.14811 0.14734 0.14743 0.16149 0.16239 0.15808 10.000 10.010 10.005 0.16200 0.16483 0.16454 0.16457 0.17008 0.17045 0.16868 15.000 15.010 15.005 0.17030 0.17147 0.17135 0.17134 0.17367 0.17383 0.17304 20.000 20.010 20.005 0.17373 0.17426 0.17420 0.17417 0.17521 0.17528 0.17490 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 435.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.09916E-01 8.00347E-03 6.75154E-03 1.47550E-02 6.76180E-03 0.061424 9 1 10.0 0.0 180.0 6.78230E-02 8.13233E-03 2.24609E-03 1.03784E-02 6.87067E-03 0.033117 9 4 10.0 45.0 135.0 7.45191E-02 8.09935E-03 2.58081E-03 1.06802E-02 6.84280E-03 0.034633 9 7 10.0 90.0 90.0 1.00682E-01 8.08850E-03 5.02001E-03 1.31085E-02 6.83364E-03 0.049860 8 1 20.0 0.0 180.0 5.32740E-02 8.23458E-03 1.29122E-03 9.52580E-03 6.95705E-03 0.024237 8 4 20.0 45.0 135.0 5.93083E-02 8.15454E-03 1.50772E-03 9.66226E-03 6.88943E-03 0.025422 8 7 20.0 90.0 90.0 8.72100E-02 8.15786E-03 3.13012E-03 1.12880E-02 6.89224E-03 0.035892 7 1 30.0 0.0 180.0 4.61914E-02 8.38957E-03 1.11194E-03 9.50151E-03 7.08800E-03 0.024072 7 4 30.0 45.0 135.0 5.12045E-02 8.38065E-03 1.24786E-03 9.62851E-03 7.08046E-03 0.024370 7 7 30.0 90.0 90.0 7.47236E-02 8.35296E-03 2.09235E-03 1.04453E-02 7.05706E-03 0.028001 6 1 40.0 0.0 180.0 4.38444E-02 8.53438E-03 1.23634E-03 9.77072E-03 7.21034E-03 0.028198 6 4 40.0 45.0 135.0 4.79415E-02 8.51676E-03 1.34088E-03 9.85764E-03 7.19546E-03 0.027969 6 7 40.0 90.0 90.0 6.73091E-02 8.52145E-03 1.93860E-03 1.04601E-02 7.19942E-03 0.028801 5 1 50.0 0.0 180.0 4.59694E-02 8.72121E-03 1.95299E-03 1.06742E-02 7.36819E-03 0.042485 5 4 50.0 45.0 135.0 4.89866E-02 8.66055E-03 2.03466E-03 1.06952E-02 7.31693E-03 0.041535 5 7 50.0 90.0 90.0 6.51153E-02 8.70496E-03 2.63042E-03 1.13354E-02 7.35446E-03 0.040396 4 1 60.0 0.0 180.0 5.45664E-02 8.67083E-03 4.54956E-03 1.32204E-02 7.32562E-03 0.083377 4 4 60.0 45.0 135.0 5.58013E-02 8.60269E-03 4.49261E-03 1.30953E-02 7.26805E-03 0.080511 4 7 60.0 90.0 90.0 6.89073E-02 8.78022E-03 5.24635E-03 1.40266E-02 7.41804E-03 0.076136 3 1 70.0 0.0 180.0 7.57113E-02 8.11509E-03 1.25671E-02 2.06822E-02 6.85610E-03 0.165987 3 4 70.0 45.0 135.0 7.35803E-02 8.14194E-03 1.20919E-02 2.02338E-02 6.87878E-03 0.164336 3 7 70.0 90.0 90.0 8.22610E-02 8.33858E-03 1.31493E-02 2.14879E-02 7.04492E-03 0.159849 2 1 80.0 0.0 180.0 1.28635E-01 6.99994E-03 3.12380E-02 3.82380E-02 5.91396E-03 0.242843 2 4 80.0 45.0 135.0 1.19113E-01 7.00862E-03 3.02137E-02 3.72223E-02 5.92129E-03 0.253655 2 7 80.0 90.0 90.0 1.18340E-01 7.19968E-03 3.16419E-02 3.88416E-02 6.08271E-03 0.267382 1 1 87.5 0.0 180.0 2.07978E-01 5.66792E-03 5.50926E-02 6.07606E-02 4.78859E-03 0.264896 1 4 87.5 45.0 135.0 1.87259E-01 5.40411E-03 5.47525E-02 6.01566E-02 4.56571E-03 0.292389 1 7 87.5 90.0 90.0 1.70364E-01 6.15686E-03 5.60356E-02 6.21924E-02 5.20168E-03 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 435.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.476E-02 1.099E-01 1.344E-01 1.163E-01 1.736E-01 1.247E-02 4.688E+00 8.003E-03 6.762E-03 1 0.00 0.00 1.484E-02 2.048E-01 2.864E-02 3.335E-02 4.490E-02 1.262E-02 4.177E+00 3 4.53 5.00 7.155E-03 3.064E-01 1.823E-02 2.333E-02 3.558E-02 1.301E-02 4.624E+00 5 9.06 10.00 3.149E-03 1.620E-01 9.480E-03 1.180E-02 1.648E-02 1.316E-02 4.784E+00 7 13.59 15.00 1.338E-03 7.054E-02 4.497E-03 5.344E-03 6.801E-03 1.322E-02 4.850E+00 9 18.12 20.00 5.604E-04 2.928E-02 2.031E-03 2.308E-03 2.725E-03 1.325E-02 4.878E+00 Waveband 9 of 40 completed in 5.7 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 46.5 m at 445.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 440.0 nm to 450.0 nm: Ed(diffuse) = 4.682E-01 Ed(direct) = 9.292E-01 Ed(total) = 1.397E+00 Absorption Coefficients of Individual Components at 445.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0075 0.0582 0.0112 0.0236 0.1005 3 4.429 5.000 0.0075 0.0582 0.0112 0.0236 0.1005 5 8.858 10.000 0.0075 0.0582 0.0112 0.0236 0.1005 7 13.288 15.000 0.0075 0.0582 0.0112 0.0236 0.1005 9 17.717 20.000 0.0075 0.0582 0.0112 0.0236 0.1005 Scattering Coefficients of Individual Components at 445.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0048 0.6036 0.0000 0.1769 0.7853 3 4.429 5.000 0.0048 0.6036 0.0000 0.1769 0.7853 5 8.858 10.000 0.0048 0.6036 0.0000 0.1769 0.7853 7 13.288 15.000 0.0048 0.6036 0.0000 0.1769 0.7853 9 17.717 20.000 0.0048 0.6036 0.0000 0.1769 0.7853 Backscattering Coefficients of Individual Components at 445.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00239 0.00604 0.00000 0.00531 0.01373 3 4.429 5.000 0.00239 0.00604 0.00000 0.00531 0.01373 5 8.858 10.000 0.00239 0.00604 0.00000 0.00531 0.01373 7 13.288 15.000 0.00239 0.00604 0.00000 0.00531 0.01373 9 17.717 20.000 0.00239 0.00604 0.00000 0.00531 0.01373 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 0.1005 0.7853 0.8858 0.8865 0.01373 0.01749 3 4.429 5.000 0.1005 0.7853 0.8858 0.8865 0.01373 0.01749 5 8.858 10.000 0.1005 0.7853 0.8858 0.8865 0.01373 0.01749 7 13.288 15.000 0.1005 0.7853 0.8858 0.8865 0.01373 0.01749 9 17.717 20.000 0.1005 0.7853 0.8858 0.8865 0.01373 0.01749 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5104E-01 8 20.00 8.3139E-01 7 30.00 6.7119E-01 6 40.00 5.0678E-01 5 50.00 3.6348E-01 4 60.00 2.5213E-01 3 70.00 1.7239E-01 2 80.00 1.1874E-01 1 87.50 9.0313E-02 1 92.50 7.4375E-02 2 100.00 5.8301E-02 3 110.00 4.3939E-02 4 120.00 3.4464E-02 5 130.00 2.8302E-02 6 140.00 2.4308E-02 7 150.00 2.1750E-02 8 160.00 2.0179E-02 9 170.00 1.9328E-02 10 180.00 1.9028E-02 Asymptotic AOP values are MUu(inf) = 0.3822 MUd(inf) = 0.6924 MU(inf) = 0.5816 R(inf) = 0.0635 Lu(inf)/Ed(inf) = 0.012844 (1/sr) k(inf) = 0.1729 (1/m) absorp(check) = 0.1005 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 445.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.1228E-01 2.0183E+00 2.2306E+00 8.0615E-02 1.3974E+00 0.3798 0.6924 0.5903 5.7689E-02 1 0.00 0.00 1.6823E-01 1.6430E+00 1.8113E+00 7.1996E-02 1.3888E+00 0.4280 0.8452 0.7270 5.1841E-02 3 4.43 5.00 9.8394E-02 8.8548E-01 9.8387E-01 3.9122E-02 6.6121E-01 0.3976 0.7467 0.6323 5.9167E-02 5 8.86 10.00 4.6771E-02 4.1053E-01 4.5730E-01 1.8188E-02 2.9345E-01 0.3889 0.7148 0.6019 6.1980E-02 7 13.29 15.00 2.0746E-02 1.8030E-01 2.0104E-01 7.9971E-03 1.2657E-01 0.3855 0.7020 0.5898 6.3181E-02 9 17.72 20.00 8.9462E-03 7.7417E-02 8.6363E-02 3.4359E-03 5.3926E-02 0.3841 0.6966 0.5846 6.3716E-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 0.07229 0.10039 0.09778 0.09065 0.13544 0.13789 0.12525 5.000 5.010 5.005 0.13628 0.14417 0.14338 0.14334 0.15762 0.15852 0.15412 10.000 10.010 10.005 0.15777 0.16074 0.16044 0.16042 0.16612 0.16650 0.16466 15.000 15.010 15.005 0.16620 0.16745 0.16732 0.16730 0.16974 0.16991 0.16909 20.000 20.010 20.005 0.16976 0.17032 0.17026 0.17023 0.17133 0.17141 0.17101 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 445.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.26342E-01 9.26700E-03 7.94837E-03 1.72154E-02 6.63158E-03 0.062911 9 1 10.0 0.0 180.0 7.79584E-02 9.41385E-03 2.60697E-03 1.20208E-02 6.73666E-03 0.033441 9 4 10.0 45.0 135.0 8.56552E-02 9.37647E-03 2.99894E-03 1.23754E-02 6.70991E-03 0.035012 9 7 10.0 90.0 90.0 1.15727E-01 9.36610E-03 5.88645E-03 1.52526E-02 6.70249E-03 0.050865 8 1 20.0 0.0 180.0 6.12352E-02 9.53162E-03 1.48545E-03 1.10171E-02 6.82094E-03 0.024258 8 4 20.0 45.0 135.0 6.81713E-02 9.44028E-03 1.73634E-03 1.11766E-02 6.75557E-03 0.025470 8 7 20.0 90.0 90.0 1.00243E-01 9.44784E-03 3.64209E-03 1.30899E-02 6.76099E-03 0.036333 7 1 30.0 0.0 180.0 5.30942E-02 9.71091E-03 1.27811E-03 1.09890E-02 6.94924E-03 0.024072 7 4 30.0 45.0 135.0 5.88574E-02 9.70240E-03 1.43450E-03 1.11369E-02 6.94315E-03 0.024372 7 7 30.0 90.0 90.0 8.58844E-02 9.67573E-03 2.41373E-03 1.20895E-02 6.92406E-03 0.028104 6 1 40.0 0.0 180.0 5.03965E-02 9.87907E-03 1.42110E-03 1.13002E-02 7.06958E-03 0.028198 6 4 40.0 45.0 135.0 5.51058E-02 9.86118E-03 1.54126E-03 1.14024E-02 7.05677E-03 0.027969 6 7 40.0 90.0 90.0 7.73677E-02 9.87440E-03 2.22887E-03 1.21033E-02 7.06623E-03 0.028809 5 1 50.0 0.0 180.0 5.28390E-02 1.00962E-02 2.24484E-03 1.23411E-02 7.22497E-03 0.042485 5 4 50.0 45.0 135.0 5.63071E-02 1.00292E-02 2.33872E-03 1.23679E-02 7.17698E-03 0.041535 5 7 50.0 90.0 90.0 7.48461E-02 1.00907E-02 3.02351E-03 1.31142E-02 7.22105E-03 0.040396 4 1 60.0 0.0 180.0 6.27208E-02 1.00389E-02 5.22944E-03 1.52683E-02 7.18394E-03 0.083377 4 4 60.0 45.0 135.0 6.41402E-02 9.96376E-03 5.16398E-03 1.51277E-02 7.13018E-03 0.080511 4 7 60.0 90.0 90.0 7.92047E-02 1.01818E-02 6.03036E-03 1.62122E-02 7.28622E-03 0.076136 3 1 70.0 0.0 180.0 8.70255E-02 9.39659E-03 1.44451E-02 2.38417E-02 6.72431E-03 0.165987 3 4 70.0 45.0 135.0 8.45761E-02 9.43193E-03 1.38989E-02 2.33308E-02 6.74960E-03 0.164336 3 7 70.0 90.0 90.0 9.45540E-02 9.67385E-03 1.51144E-02 2.47882E-02 6.92272E-03 0.159849 2 1 80.0 0.0 180.0 1.47858E-01 8.10626E-03 3.59062E-02 4.40125E-02 5.80093E-03 0.242843 2 4 80.0 45.0 135.0 1.36913E-01 8.12051E-03 3.47288E-02 4.28493E-02 5.81113E-03 0.253655 2 7 80.0 90.0 90.0 1.36024E-01 8.35580E-03 3.63705E-02 4.47263E-02 5.97951E-03 0.267382 1 1 87.5 0.0 180.0 2.39059E-01 6.56442E-03 6.33256E-02 6.98901E-02 4.69758E-03 0.264896 1 4 87.5 45.0 135.0 2.15243E-01 6.26254E-03 6.29347E-02 6.91972E-02 4.48155E-03 0.292389 1 7 87.5 90.0 90.0 1.95824E-01 7.14821E-03 6.44095E-02 7.15577E-02 5.11534E-03 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 445.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.722E-02 1.263E-01 1.545E-01 1.337E-01 1.996E-01 1.232E-02 4.683E+00 9.267E-03 6.632E-03 1 0.00 0.00 1.719E-02 2.354E-01 3.319E-02 3.878E-02 5.249E-02 1.238E-02 4.189E+00 3 4.43 5.00 8.437E-03 3.646E-01 2.148E-02 2.760E-02 4.240E-02 1.276E-02 4.637E+00 5 8.86 10.00 3.789E-03 1.982E-01 1.140E-02 1.427E-02 2.011E-02 1.291E-02 4.801E+00 7 13.29 15.00 1.642E-03 8.834E-02 5.525E-03 6.608E-03 8.489E-03 1.298E-02 4.869E+00 9 17.72 20.00 7.014E-04 3.743E-02 2.549E-03 2.915E-03 3.471E-03 1.301E-02 4.899E+00 Waveband 10 of 40 completed in 5.5 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 46.5 m at 455.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 450.0 nm to 460.0 nm: Ed(diffuse) = 4.888E-01 Ed(direct) = 1.007E+00 Ed(total) = 1.495E+00 Absorption Coefficients of Individual Components at 455.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0096 0.0552 0.0097 0.0224 0.0970 3 4.327 5.000 0.0096 0.0552 0.0097 0.0224 0.0970 5 8.654 10.000 0.0096 0.0552 0.0097 0.0224 0.0970 7 12.981 15.000 0.0096 0.0552 0.0097 0.0224 0.0970 9 17.307 20.000 0.0096 0.0552 0.0097 0.0224 0.0970 Scattering Coefficients of Individual Components at 455.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0043 0.5904 0.0000 0.1737 0.7684 3 4.327 5.000 0.0043 0.5904 0.0000 0.1737 0.7684 5 8.654 10.000 0.0043 0.5904 0.0000 0.1737 0.7684 7 12.981 15.000 0.0043 0.5904 0.0000 0.1737 0.7684 9 17.307 20.000 0.0043 0.5904 0.0000 0.1737 0.7684 Backscattering Coefficients of Individual Components at 455.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00217 0.00590 0.00000 0.00521 0.01329 3 4.327 5.000 0.00217 0.00590 0.00000 0.00521 0.01329 5 8.654 10.000 0.00217 0.00590 0.00000 0.00521 0.01329 7 12.981 15.000 0.00217 0.00590 0.00000 0.00521 0.01329 9 17.307 20.000 0.00217 0.00590 0.00000 0.00521 0.01329 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 0.0970 0.7684 0.8654 0.8879 0.01329 0.01729 3 4.327 5.000 0.0970 0.7684 0.8654 0.8879 0.01329 0.01729 5 8.654 10.000 0.0970 0.7684 0.8654 0.8879 0.01329 0.01729 7 12.981 15.000 0.0970 0.7684 0.8654 0.8879 0.01329 0.01729 9 17.307 20.000 0.0970 0.7684 0.8654 0.8879 0.01329 0.01729 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5146E-01 8 20.00 8.3271E-01 7 30.00 6.7344E-01 6 40.00 5.0959E-01 5 50.00 3.6636E-01 4 60.00 2.5470E-01 3 70.00 1.7450E-01 2 80.00 1.2038E-01 1 87.50 9.1625E-02 1 92.50 7.5476E-02 2 100.00 5.9170E-02 3 110.00 4.4583E-02 4 120.00 3.4944E-02 5 130.00 2.8668E-02 6 140.00 2.4596E-02 7 150.00 2.1986E-02 8 160.00 2.0382E-02 9 170.00 1.9512E-02 10 180.00 1.9206E-02 Asymptotic AOP values are MUu(inf) = 0.3819 MUd(inf) = 0.6913 MU(inf) = 0.5799 R(inf) = 0.0640 Lu(inf)/Ed(inf) = 0.012904 (1/sr) k(inf) = 0.1672 (1/m) absorp(check) = 0.0970 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 455.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.2465E-01 2.1495E+00 2.3742E+00 8.6002E-02 1.4954E+00 0.3828 0.6957 0.5937 5.7509E-02 1 0.00 0.00 1.8120E-01 1.7585E+00 1.9397E+00 7.7545E-02 1.4870E+00 0.4280 0.8456 0.7266 5.2150E-02 3 4.33 5.00 1.0878E-01 9.7289E-01 1.0817E+00 4.3270E-02 7.2736E-01 0.3978 0.7476 0.6324 5.9489E-02 5 8.65 10.00 5.3299E-02 4.6471E-01 5.1801E-01 2.0726E-02 3.3229E-01 0.3889 0.7150 0.6015 6.2373E-02 7 12.98 15.00 2.4363E-02 2.1026E-01 2.3462E-01 9.3876E-03 1.4755E-01 0.3853 0.7017 0.5889 6.3624E-02 9 17.31 20.00 1.0820E-02 9.2966E-02 1.0379E-01 4.1527E-03 6.4700E-02 0.3838 0.6960 0.5834 6.4184E-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 0.06905 0.09652 0.09395 0.08672 0.13062 0.13304 0.12054 5.000 5.010 5.005 0.13030 0.13831 0.13750 0.13746 0.15191 0.15282 0.14838 10.000 10.010 10.005 0.15169 0.15475 0.15443 0.15443 0.16030 0.16069 0.15883 15.000 15.010 15.005 0.16026 0.16154 0.16141 0.16141 0.16395 0.16413 0.16331 20.000 20.010 20.005 0.16393 0.16450 0.16444 0.16444 0.16559 0.16567 0.16529 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 455.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.31908E-01 9.96458E-03 8.48427E-03 1.84488E-02 6.66330E-03 0.064320 9 1 10.0 0.0 180.0 8.13927E-02 1.01181E-02 2.74675E-03 1.28649E-02 6.76598E-03 0.033747 9 4 10.0 45.0 135.0 8.94286E-02 1.00794E-02 3.16313E-03 1.32426E-02 6.74011E-03 0.035370 9 7 10.0 90.0 90.0 1.20826E-01 1.00721E-02 6.26069E-03 1.63327E-02 6.73517E-03 0.051816 8 1 20.0 0.0 180.0 6.39329E-02 1.02432E-02 1.55216E-03 1.17953E-02 6.84959E-03 0.024278 8 4 20.0 45.0 135.0 7.11745E-02 1.01475E-02 1.81610E-03 1.19636E-02 6.78560E-03 0.025516 8 7 20.0 90.0 90.0 1.04659E-01 1.01618E-02 3.84625E-03 1.40081E-02 6.79521E-03 0.036750 7 1 30.0 0.0 180.0 5.54332E-02 1.04350E-02 1.33441E-03 1.17694E-02 6.97788E-03 0.024072 7 4 30.0 45.0 135.0 6.14512E-02 1.04293E-02 1.49785E-03 1.19272E-02 6.97407E-03 0.024375 7 7 30.0 90.0 90.0 8.96620E-02 1.04094E-02 2.52866E-03 1.29380E-02 6.96074E-03 0.028202 6 1 40.0 0.0 180.0 5.26166E-02 1.06157E-02 1.48370E-03 1.20994E-02 7.09873E-03 0.028198 6 4 40.0 45.0 135.0 5.75335E-02 1.06011E-02 1.60916E-03 1.22102E-02 7.08893E-03 0.027969 6 7 40.0 90.0 90.0 8.07761E-02 1.06271E-02 2.32762E-03 1.29547E-02 7.10635E-03 0.028816 5 1 50.0 0.0 180.0 5.51668E-02 1.08496E-02 2.34374E-03 1.31933E-02 7.25512E-03 0.042485 5 4 50.0 45.0 135.0 5.87877E-02 1.07830E-02 2.44175E-03 1.32247E-02 7.21058E-03 0.041535 5 7 50.0 90.0 90.0 7.81434E-02 1.08635E-02 3.15670E-03 1.40202E-02 7.26442E-03 0.040396 4 1 60.0 0.0 180.0 6.54838E-02 1.07886E-02 5.45982E-03 1.62484E-02 7.21431E-03 0.083377 4 4 60.0 45.0 135.0 6.69658E-02 1.07140E-02 5.39147E-03 1.61055E-02 7.16446E-03 0.080511 4 7 60.0 90.0 90.0 8.26940E-02 1.09649E-02 6.29602E-03 1.72609E-02 7.33222E-03 0.076136 3 1 70.0 0.0 180.0 9.08593E-02 1.00988E-02 1.50815E-02 2.51803E-02 6.75308E-03 0.165987 3 4 70.0 45.0 135.0 8.83020E-02 1.01433E-02 1.45112E-02 2.46544E-02 6.78279E-03 0.164336 3 7 70.0 90.0 90.0 9.87195E-02 1.04207E-02 1.57802E-02 2.62009E-02 6.96830E-03 0.159849 2 1 80.0 0.0 180.0 1.54371E-01 8.71230E-03 3.74880E-02 4.62003E-02 5.82591E-03 0.242843 2 4 80.0 45.0 135.0 1.42945E-01 8.73362E-03 3.62587E-02 4.49923E-02 5.84017E-03 0.253655 2 7 80.0 90.0 90.0 1.42017E-01 9.00267E-03 3.79727E-02 4.69754E-02 6.02008E-03 0.267382 1 1 87.5 0.0 180.0 2.49590E-01 7.05512E-03 6.61154E-02 7.31705E-02 4.71775E-03 0.264896 1 4 87.5 45.0 135.0 2.24725E-01 6.73556E-03 6.57072E-02 7.24427E-02 4.50407E-03 0.292389 1 7 87.5 90.0 90.0 2.04450E-01 7.70252E-03 6.72470E-02 7.49495E-02 5.15067E-03 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 455.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.845E-02 1.319E-01 1.614E-01 1.397E-01 2.085E-01 1.234E-02 4.662E+00 9.965E-03 6.663E-03 1 0.00 0.00 1.848E-02 2.457E-01 3.562E-02 4.174E-02 5.664E-02 1.243E-02 4.196E+00 3 4.33 5.00 9.321E-03 3.964E-01 2.358E-02 3.039E-02 4.689E-02 1.281E-02 4.642E+00 5 8.65 10.00 4.309E-03 2.231E-01 1.290E-02 1.621E-02 2.301E-02 1.297E-02 4.810E+00 7 12.98 15.00 1.923E-03 1.026E-01 6.443E-03 7.746E-03 1.003E-02 1.303E-02 4.882E+00 9 17.31 20.00 8.451E-04 4.479E-02 3.063E-03 3.522E-03 4.225E-03 1.306E-02 4.914E+00 Waveband 11 of 40 completed in 5.5 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 46.5 m at 465.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 460.0 nm to 470.0 nm: Ed(diffuse) = 4.757E-01 Ed(direct) = 1.013E+00 Ed(total) = 1.489E+00 Absorption Coefficients of Individual Components at 465.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0101 0.0540 0.0085 0.0219 0.0945 3 4.230 5.000 0.0101 0.0540 0.0085 0.0219 0.0945 5 8.461 10.000 0.0101 0.0540 0.0085 0.0219 0.0945 7 12.691 15.000 0.0101 0.0540 0.0085 0.0219 0.0945 9 16.922 20.000 0.0101 0.0540 0.0085 0.0219 0.0945 Scattering Coefficients of Individual Components at 465.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0040 0.5777 0.0000 0.1700 0.7516 3 4.230 5.000 0.0040 0.5777 0.0000 0.1700 0.7516 5 8.461 10.000 0.0040 0.5777 0.0000 0.1700 0.7516 7 12.691 15.000 0.0040 0.5777 0.0000 0.1700 0.7516 9 16.922 20.000 0.0040 0.5777 0.0000 0.1700 0.7516 Backscattering Coefficients of Individual Components at 465.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00198 0.00578 0.00000 0.00510 0.01285 3 4.230 5.000 0.00198 0.00578 0.00000 0.00510 0.01285 5 8.461 10.000 0.00198 0.00578 0.00000 0.00510 0.01285 7 12.691 15.000 0.00198 0.00578 0.00000 0.00510 0.01285 9 16.922 20.000 0.00198 0.00578 0.00000 0.00510 0.01285 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 0.0945 0.7516 0.8461 0.8883 0.01285 0.01710 3 4.230 5.000 0.0945 0.7516 0.8461 0.8883 0.01285 0.01710 5 8.461 10.000 0.0945 0.7516 0.8461 0.8883 0.01285 0.01710 7 12.691 15.000 0.0945 0.7516 0.8461 0.8883 0.01285 0.01710 9 16.922 20.000 0.0945 0.7516 0.8461 0.8883 0.01285 0.01710 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5156E-01 8 20.00 8.3302E-01 7 30.00 6.7397E-01 6 40.00 5.1022E-01 5 50.00 3.6697E-01 4 60.00 2.5521E-01 3 70.00 1.7487E-01 2 80.00 1.2062E-01 1 87.50 9.1781E-02 1 92.50 7.5577E-02 2 100.00 5.9215E-02 3 110.00 4.4576E-02 4 120.00 3.4901E-02 5 130.00 2.8601E-02 6 140.00 2.4513E-02 7 150.00 2.1893E-02 8 160.00 2.0282E-02 9 170.00 1.9409E-02 10 180.00 1.9101E-02 Asymptotic AOP values are MUu(inf) = 0.3813 MUd(inf) = 0.6912 MU(inf) = 0.5800 R(inf) = 0.0638 Lu(inf)/Ed(inf) = 0.012821 (1/sr) k(inf) = 0.1629 (1/m) absorp(check) = 0.0945 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 465.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.2085E-01 2.1311E+00 2.3520E+00 8.5104E-02 1.4892E+00 0.3854 0.6988 0.5970 5.7148E-02 1 0.00 0.00 1.7998E-01 1.7501E+00 1.9301E+00 7.6998E-02 1.4811E+00 0.4278 0.8463 0.7274 5.1988E-02 3 4.23 5.00 1.1012E-01 9.8703E-01 1.0972E+00 4.3810E-02 7.3935E-01 0.3978 0.7491 0.6340 5.9255E-02 5 8.46 10.00 5.5217E-02 4.8227E-01 5.3749E-01 2.1464E-02 3.4530E-01 0.3887 0.7160 0.6025 6.2162E-02 7 12.69 15.00 2.5826E-02 2.2323E-01 2.4906E-01 9.9441E-03 1.5676E-01 0.3850 0.7022 0.5895 6.3434E-02 9 16.92 20.00 1.1729E-02 1.0093E-01 1.1266E-01 4.4973E-03 7.0268E-02 0.3834 0.6962 0.5838 6.4002E-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 0.06659 0.09368 0.09116 0.08395 0.12704 0.12941 0.11714 5.000 5.010 5.005 0.12581 0.13389 0.13308 0.13305 0.14757 0.14849 0.14408 10.000 10.010 10.005 0.14706 0.15017 0.14985 0.14989 0.15586 0.15625 0.15442 15.000 15.010 15.005 0.15572 0.15703 0.15689 0.15694 0.15954 0.15971 0.15894 20.000 20.010 20.005 0.15951 0.16007 0.16002 0.16006 0.16122 0.16130 0.16098 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 465.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.28363E-01 9.87940E-03 8.42910E-03 1.83085E-02 6.63407E-03 0.065666 9 1 10.0 0.0 180.0 7.92052E-02 1.00284E-02 2.69613E-03 1.27246E-02 6.73415E-03 0.034040 9 4 10.0 45.0 135.0 8.70251E-02 9.99116E-03 3.10798E-03 1.30991E-02 6.70912E-03 0.035714 9 7 10.0 90.0 90.0 1.17578E-01 9.98654E-03 6.19937E-03 1.61859E-02 6.70602E-03 0.052726 8 1 20.0 0.0 180.0 6.22146E-02 1.01511E-02 1.51161E-03 1.16627E-02 6.81654E-03 0.024297 8 4 20.0 45.0 135.0 6.92616E-02 1.00580E-02 1.77032E-03 1.18284E-02 6.75403E-03 0.025560 8 7 20.0 90.0 90.0 1.01846E-01 1.00768E-02 3.78355E-03 1.38603E-02 6.76662E-03 0.037150 7 1 30.0 0.0 180.0 5.39434E-02 1.03405E-02 1.29855E-03 1.16391E-02 6.94371E-03 0.024072 7 4 30.0 45.0 135.0 5.98005E-02 1.03373E-02 1.45774E-03 1.17950E-02 6.94155E-03 0.024377 7 7 30.0 90.0 90.0 8.72468E-02 1.03239E-02 2.46870E-03 1.27926E-02 6.93254E-03 0.028296 6 1 40.0 0.0 180.0 5.12025E-02 1.05194E-02 1.44382E-03 1.19632E-02 7.06381E-03 0.028198 6 4 40.0 45.0 135.0 5.59872E-02 1.05081E-02 1.56591E-03 1.20740E-02 7.05624E-03 0.027969 6 7 40.0 90.0 90.0 7.86051E-02 1.05426E-02 2.26558E-03 1.28082E-02 7.07941E-03 0.028822 5 1 50.0 0.0 180.0 5.36841E-02 1.07513E-02 2.28075E-03 1.30321E-02 7.21958E-03 0.042485 5 4 50.0 45.0 135.0 5.72076E-02 1.06892E-02 2.37612E-03 1.30654E-02 7.17789E-03 0.041535 5 7 50.0 90.0 90.0 7.60432E-02 1.07797E-02 3.07186E-03 1.38516E-02 7.23865E-03 0.040396 4 1 60.0 0.0 180.0 6.37239E-02 1.06912E-02 5.31308E-03 1.60043E-02 7.17919E-03 0.083377 4 4 60.0 45.0 135.0 6.51660E-02 1.06218E-02 5.24657E-03 1.58683E-02 7.13258E-03 0.080511 4 7 60.0 90.0 90.0 8.04715E-02 1.08829E-02 6.12680E-03 1.70097E-02 7.30793E-03 0.076136 3 1 70.0 0.0 180.0 8.84173E-02 1.00081E-02 1.46761E-02 2.46842E-02 6.72047E-03 0.165987 3 4 70.0 45.0 135.0 8.59287E-02 1.00568E-02 1.41212E-02 2.41780E-02 6.75323E-03 0.164336 3 7 70.0 90.0 90.0 9.60663E-02 1.03452E-02 1.53561E-02 2.57013E-02 6.94685E-03 0.159849 2 1 80.0 0.0 180.0 1.50222E-01 8.63426E-03 3.64805E-02 4.51148E-02 5.79795E-03 0.242843 2 4 80.0 45.0 135.0 1.39103E-01 8.65987E-03 3.52842E-02 4.39441E-02 5.81515E-03 0.253655 2 7 80.0 90.0 90.0 1.38200E-01 8.93917E-03 3.69522E-02 4.58913E-02 6.00270E-03 0.267382 1 1 87.5 0.0 180.0 2.42882E-01 6.99204E-03 6.43384E-02 7.13305E-02 4.69520E-03 0.264896 1 4 87.5 45.0 135.0 2.18685E-01 6.67905E-03 6.39412E-02 7.06202E-02 4.48502E-03 0.292389 1 7 87.5 90.0 90.0 1.98955E-01 7.64938E-03 6.54396E-02 7.30890E-02 5.13660E-03 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 465.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.831E-02 1.284E-01 1.571E-01 1.360E-01 2.030E-01 1.229E-02 4.648E+00 9.879E-03 6.634E-03 1 0.00 0.00 1.832E-02 2.391E-01 3.528E-02 4.145E-02 5.640E-02 1.237E-02 4.202E+00 3 4.23 5.00 9.428E-03 3.985E-01 2.374E-02 3.069E-02 4.757E-02 1.275E-02 4.647E+00 5 8.46 10.00 4.455E-03 2.309E-01 1.328E-02 1.677E-02 2.396E-02 1.290E-02 4.818E+00 7 12.69 15.00 2.032E-03 1.090E-01 6.790E-03 8.204E-03 1.071E-02 1.296E-02 4.893E+00 9 16.92 20.00 9.127E-04 4.866E-02 3.304E-03 3.819E-03 4.617E-03 1.299E-02 4.927E+00 Waveband 12 of 40 completed in 5.2 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 46.5 m at 475.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 470.0 nm to 480.0 nm: Ed(diffuse) = 4.727E-01 Ed(direct) = 1.039E+00 Ed(total) = 1.512E+00 Absorption Coefficients of Individual Components at 475.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0114 0.0498 0.0074 0.0202 0.0888 3 4.128 5.000 0.0114 0.0498 0.0074 0.0202 0.0888 5 8.255 10.000 0.0114 0.0498 0.0074 0.0202 0.0888 7 12.383 15.000 0.0114 0.0498 0.0074 0.0202 0.0888 9 16.510 20.000 0.0114 0.0498 0.0074 0.0202 0.0888 Scattering Coefficients of Individual Components at 475.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0036 0.5655 0.0000 0.1676 0.7367 3 4.128 5.000 0.0036 0.5655 0.0000 0.1676 0.7367 5 8.255 10.000 0.0036 0.5655 0.0000 0.1676 0.7367 7 12.383 15.000 0.0036 0.5655 0.0000 0.1676 0.7367 9 16.510 20.000 0.0036 0.5655 0.0000 0.1676 0.7367 Backscattering Coefficients of Individual Components at 475.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00180 0.00566 0.00000 0.00503 0.01249 3 4.128 5.000 0.00180 0.00566 0.00000 0.00503 0.01249 5 8.255 10.000 0.00180 0.00566 0.00000 0.00503 0.01249 7 12.383 15.000 0.00180 0.00566 0.00000 0.00503 0.01249 9 16.510 20.000 0.00180 0.00566 0.00000 0.00503 0.01249 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 0.0888 0.7367 0.8255 0.8925 0.01249 0.01695 3 4.128 5.000 0.0888 0.7367 0.8255 0.8925 0.01249 0.01695 5 8.255 10.000 0.0888 0.7367 0.8255 0.8925 0.01249 0.01695 7 12.383 15.000 0.0888 0.7367 0.8255 0.8925 0.01249 0.01695 9 16.510 20.000 0.0888 0.7367 0.8255 0.8925 0.01249 0.01695 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5274E-01 8 20.00 8.3682E-01 7 30.00 6.8052E-01 6 40.00 5.1850E-01 5 50.00 3.7562E-01 4 60.00 2.6314E-01 3 70.00 1.8154E-01 2 80.00 1.2597E-01 1 87.50 9.6205E-02 1 92.50 7.9385E-02 2 100.00 6.2340E-02 3 110.00 4.7020E-02 4 120.00 3.6844E-02 5 130.00 3.0190E-02 6 140.00 2.5857E-02 7 150.00 2.3072E-02 8 160.00 2.1356E-02 9 170.00 2.0424E-02 10 180.00 2.0096E-02 Asymptotic AOP values are MUu(inf) = 0.3816 MUd(inf) = 0.6878 MU(inf) = 0.5736 R(inf) = 0.0663 Lu(inf)/Ed(inf) = 0.013302 (1/sr) k(inf) = 0.1548 (1/m) absorp(check) = 0.0888 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 475.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.2431E-01 2.1546E+00 2.3790E+00 8.7321E-02 1.5117E+00 0.3893 0.7016 0.5987 5.7764E-02 1 0.00 0.00 1.8952E-01 1.7815E+00 1.9710E+00 8.1192E-02 1.5055E+00 0.4284 0.8451 0.7227 5.3929E-02 3 4.13 5.00 1.2026E-01 1.0442E+00 1.1644E+00 4.7955E-02 7.8141E-01 0.3988 0.7483 0.6299 6.1370E-02 5 8.26 10.00 6.2917E-02 5.3238E-01 5.9530E-01 2.4499E-02 3.8031E-01 0.3894 0.7144 0.5977 6.4418E-02 7 12.38 15.00 3.0703E-02 2.5712E-01 2.8782E-01 1.1836E-02 1.7997E-01 0.3855 0.7000 0.5842 6.5766E-02 9 16.51 20.00 1.4539E-02 1.2123E-01 1.3577E-01 5.5794E-03 8.4070E-02 0.3837 0.6935 0.5781 6.6367E-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 0.06251 0.08814 0.08568 0.07839 0.11996 0.12233 0.11037 5.000 5.010 5.005 0.11746 0.12549 0.12466 0.12482 0.13942 0.14037 0.13601 10.000 10.010 10.005 0.13852 0.14163 0.14130 0.14147 0.14755 0.14797 0.14619 15.000 15.010 15.005 0.14730 0.14859 0.14845 0.14860 0.15126 0.15145 0.15074 20.000 20.010 20.005 0.15121 0.15175 0.15169 0.15182 0.15299 0.15307 0.15284 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 475.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.27561E-01 1.04106E-02 8.53835E-03 1.89490E-02 6.88677E-03 0.066936 9 1 10.0 0.0 180.0 7.87103E-02 1.05606E-02 2.70103E-03 1.32617E-02 6.98601E-03 0.034316 9 4 10.0 45.0 135.0 8.64814E-02 1.05239E-02 3.11653E-03 1.36404E-02 6.96168E-03 0.036037 9 7 10.0 90.0 90.0 1.16844E-01 1.05250E-02 6.26082E-03 1.67859E-02 6.96246E-03 0.053583 8 1 20.0 0.0 180.0 6.18259E-02 1.06873E-02 1.50327E-03 1.21906E-02 7.06982E-03 0.024315 8 4 20.0 45.0 135.0 6.88288E-02 1.05934E-02 1.76211E-03 1.23555E-02 7.00771E-03 0.025601 8 7 20.0 90.0 90.0 1.01210E-01 1.06230E-02 3.79801E-03 1.44210E-02 7.02729E-03 0.037526 7 1 30.0 0.0 180.0 5.36063E-02 1.08853E-02 1.29043E-03 1.21758E-02 7.20081E-03 0.024072 7 4 30.0 45.0 135.0 5.94277E-02 1.08877E-02 1.44877E-03 1.23365E-02 7.20237E-03 0.024379 7 7 30.0 90.0 90.0 8.66965E-02 1.08872E-02 2.46077E-03 1.33479E-02 7.20202E-03 0.028384 6 1 40.0 0.0 180.0 5.08826E-02 1.10736E-02 1.43480E-03 1.25084E-02 7.32535E-03 0.028198 6 4 40.0 45.0 135.0 5.56374E-02 1.10693E-02 1.55613E-03 1.26254E-02 7.32249E-03 0.027969 6 7 40.0 90.0 90.0 7.81140E-02 1.11234E-02 2.25191E-03 1.33753E-02 7.35828E-03 0.028829 5 1 50.0 0.0 180.0 5.33487E-02 1.13185E-02 2.26650E-03 1.35850E-02 7.48732E-03 0.042485 5 4 50.0 45.0 135.0 5.68502E-02 1.12619E-02 2.36127E-03 1.36231E-02 7.44988E-03 0.041535 5 7 50.0 90.0 90.0 7.55680E-02 1.13777E-02 3.05267E-03 1.44303E-02 7.52648E-03 0.040396 4 1 60.0 0.0 180.0 6.33257E-02 1.12557E-02 5.27988E-03 1.65356E-02 7.44584E-03 0.083377 4 4 60.0 45.0 135.0 6.47589E-02 1.11923E-02 5.21379E-03 1.64061E-02 7.40386E-03 0.080511 4 7 60.0 90.0 90.0 7.99687E-02 1.14899E-02 6.08852E-03 1.75784E-02 7.60072E-03 0.076136 3 1 70.0 0.0 180.0 8.78649E-02 1.05366E-02 1.45844E-02 2.51210E-02 6.97012E-03 0.165987 3 4 70.0 45.0 135.0 8.53918E-02 1.05976E-02 1.40329E-02 2.46305E-02 7.01047E-03 0.164336 3 7 70.0 90.0 90.0 9.54660E-02 1.09236E-02 1.52602E-02 2.61837E-02 7.22609E-03 0.159849 2 1 80.0 0.0 180.0 1.49284E-01 9.08983E-03 3.62526E-02 4.53424E-02 6.01305E-03 0.242843 2 4 80.0 45.0 135.0 1.38234E-01 9.12539E-03 3.50637E-02 4.41891E-02 6.03658E-03 0.253655 2 7 80.0 90.0 90.0 1.37336E-01 9.43906E-03 3.67213E-02 4.61603E-02 6.24407E-03 0.267382 1 1 87.5 0.0 180.0 2.41364E-01 7.35993E-03 6.39364E-02 7.12964E-02 4.86870E-03 0.264896 1 4 87.5 45.0 135.0 2.17319E-01 7.03719E-03 6.35417E-02 7.05789E-02 4.65521E-03 0.292389 1 7 87.5 90.0 90.0 1.97712E-01 8.07582E-03 6.50307E-02 7.31066E-02 5.34227E-03 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 475.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.895E-02 1.276E-01 1.563E-01 1.354E-01 2.020E-01 1.254E-02 4.608E+00 1.041E-02 6.887E-03 1 0.00 0.00 1.931E-02 2.377E-01 3.700E-02 4.354E-02 5.922E-02 1.282E-02 4.205E+00 3 4.13 5.00 1.032E-02 4.155E-01 2.567E-02 3.322E-02 5.155E-02 1.321E-02 4.646E+00 5 8.26 10.00 5.081E-03 2.517E-01 1.498E-02 1.896E-02 2.722E-02 1.336E-02 4.822E+00 7 12.38 15.00 2.415E-03 1.239E-01 7.990E-03 9.691E-03 1.272E-02 1.342E-02 4.901E+00 9 16.51 20.00 1.130E-03 5.763E-02 4.056E-03 4.708E-03 5.727E-03 1.344E-02 4.938E+00 Waveband 13 of 40 completed in 5.2 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 46.5 m at 485.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 480.0 nm to 490.0 nm: Ed(diffuse) = 4.491E-01 Ed(direct) = 1.015E+00 Ed(total) = 1.464E+00 Absorption Coefficients of Individual Components at 485.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0136 0.0462 0.0064 0.0188 0.0850 3 4.037 5.000 0.0136 0.0462 0.0064 0.0188 0.0850 5 8.073 10.000 0.0136 0.0462 0.0064 0.0188 0.0850 7 12.110 15.000 0.0136 0.0462 0.0064 0.0188 0.0850 9 16.146 20.000 0.0136 0.0462 0.0064 0.0188 0.0850 Scattering Coefficients of Individual Components at 485.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0033 0.5539 0.0000 0.1652 0.7224 3 4.037 5.000 0.0033 0.5539 0.0000 0.1652 0.7224 5 8.073 10.000 0.0033 0.5539 0.0000 0.1652 0.7224 7 12.110 15.000 0.0033 0.5539 0.0000 0.1652 0.7224 9 16.146 20.000 0.0033 0.5539 0.0000 0.1652 0.7224 Backscattering Coefficients of Individual Components at 485.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00165 0.00554 0.00000 0.00496 0.01214 3 4.037 5.000 0.00165 0.00554 0.00000 0.00496 0.01214 5 8.073 10.000 0.00165 0.00554 0.00000 0.00496 0.01214 7 12.110 15.000 0.00165 0.00554 0.00000 0.00496 0.01214 9 16.146 20.000 0.00165 0.00554 0.00000 0.00496 0.01214 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 0.0850 0.7224 0.8073 0.8948 0.01214 0.01681 3 4.037 5.000 0.0850 0.7224 0.8073 0.8948 0.01214 0.01681 5 8.073 10.000 0.0850 0.7224 0.8073 0.8948 0.01214 0.01681 7 12.110 15.000 0.0850 0.7224 0.8073 0.8948 0.01214 0.01681 9 16.146 20.000 0.0850 0.7224 0.8073 0.8948 0.01214 0.01681 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5341E-01 8 20.00 8.3897E-01 7 30.00 6.8424E-01 6 40.00 5.2323E-01 5 50.00 3.8057E-01 4 60.00 2.6769E-01 3 70.00 1.8539E-01 2 80.00 1.2905E-01 1 87.50 9.8752E-02 1 92.50 8.1572E-02 2 100.00 6.4128E-02 3 110.00 4.8409E-02 4 120.00 3.7938E-02 5 130.00 3.1075E-02 6 140.00 2.6596E-02 7 150.00 2.3713E-02 8 160.00 2.1935E-02 9 170.00 2.0968E-02 10 180.00 2.0628E-02 Asymptotic AOP values are MUu(inf) = 0.3817 MUd(inf) = 0.6860 MU(inf) = 0.5701 R(inf) = 0.0677 Lu(inf)/Ed(inf) = 0.013547 (1/sr) k(inf) = 0.1490 (1/m) absorp(check) = 0.0850 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 485.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.1644E-01 2.0794E+00 2.2958E+00 8.4894E-02 1.4641E+00 0.3922 0.7041 0.6007 5.7984E-02 1 0.00 0.00 1.8701E-01 1.7277E+00 1.9147E+00 8.0163E-02 1.4593E+00 0.4286 0.8447 0.7203 5.4931E-02 3 4.04 5.00 1.2169E-01 1.0398E+00 1.1615E+00 4.8590E-02 7.7832E-01 0.3993 0.7485 0.6283 6.2429E-02 5 8.07 10.00 6.5612E-02 5.4629E-01 6.1190E-01 2.5570E-02 3.9001E-01 0.3897 0.7139 0.5956 6.5563E-02 7 12.11 15.00 3.3002E-02 2.7190E-01 3.0490E-01 1.2728E-02 1.9006E-01 0.3857 0.6990 0.5816 6.6968E-02 9 16.15 20.00 1.6100E-02 1.3207E-01 1.4817E-01 6.1793E-03 9.1412E-02 0.3838 0.6922 0.5753 6.7599E-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 0.05962 0.08432 0.08191 0.07460 0.11506 0.11741 0.10570 5.000 5.010 5.005 0.11159 0.11960 0.11876 0.11902 0.13368 0.13466 0.13032 10.000 10.010 10.005 0.13244 0.13558 0.13524 0.13548 0.14168 0.14212 0.14035 15.000 15.010 15.005 0.14129 0.14260 0.14246 0.14266 0.14540 0.14560 0.14492 20.000 20.010 20.005 0.14530 0.14585 0.14579 0.14596 0.14717 0.14725 0.14705 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 485.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.21185E-01 1.02682E-02 8.25403E-03 1.85223E-02 7.01337E-03 0.068111 9 1 10.0 0.0 180.0 7.47760E-02 1.04113E-02 2.58514E-03 1.29964E-02 7.11105E-03 0.034572 9 4 10.0 45.0 135.0 8.21586E-02 1.03767E-02 2.98536E-03 1.33621E-02 7.08748E-03 0.036337 9 7 10.0 90.0 90.0 1.11003E-01 1.03822E-02 6.03602E-03 1.64182E-02 7.09118E-03 0.054377 8 1 20.0 0.0 180.0 5.87355E-02 1.05344E-02 1.42909E-03 1.19635E-02 7.19517E-03 0.024331 8 4 20.0 45.0 135.0 6.53884E-02 1.04448E-02 1.67654E-03 1.21213E-02 7.13393E-03 0.025640 8 7 20.0 90.0 90.0 9.61506E-02 1.04810E-02 3.64169E-03 1.41226E-02 7.15865E-03 0.037875 7 1 30.0 0.0 180.0 5.09268E-02 1.07287E-02 1.22593E-03 1.19546E-02 7.32786E-03 0.024072 7 4 30.0 45.0 135.0 5.64580E-02 1.07350E-02 1.37647E-03 1.21115E-02 7.33218E-03 0.024380 7 7 30.0 90.0 90.0 8.23585E-02 1.07442E-02 2.34436E-03 1.30886E-02 7.33846E-03 0.028465 6 1 40.0 0.0 180.0 4.83392E-02 1.09143E-02 1.36308E-03 1.22774E-02 7.45463E-03 0.028198 6 4 40.0 45.0 135.0 5.28563E-02 1.09153E-02 1.47835E-03 1.23937E-02 7.45533E-03 0.027969 6 7 40.0 90.0 90.0 7.42095E-02 1.09815E-02 2.13978E-03 1.31213E-02 7.50055E-03 0.028834 5 1 50.0 0.0 180.0 5.06821E-02 1.11562E-02 2.15321E-03 1.33094E-02 7.61985E-03 0.042485 5 4 50.0 45.0 135.0 5.40086E-02 1.11066E-02 2.24325E-03 1.33499E-02 7.58598E-03 0.041535 5 7 50.0 90.0 90.0 7.17908E-02 1.12359E-02 2.90008E-03 1.41360E-02 7.67430E-03 0.040396 4 1 60.0 0.0 180.0 6.01604E-02 1.10950E-02 5.01597E-03 1.61109E-02 7.57803E-03 0.083377 4 4 60.0 45.0 135.0 6.15219E-02 1.10393E-02 4.95318E-03 1.59925E-02 7.54001E-03 0.080511 4 7 60.0 90.0 90.0 7.59715E-02 1.13497E-02 5.78419E-03 1.71338E-02 7.75199E-03 0.076136 3 1 70.0 0.0 180.0 8.34730E-02 1.03864E-02 1.38554E-02 2.42418E-02 7.09408E-03 0.165987 3 4 70.0 45.0 135.0 8.11235E-02 1.04535E-02 1.33315E-02 2.37850E-02 7.13993E-03 0.164336 3 7 70.0 90.0 90.0 9.06942E-02 1.07921E-02 1.44974E-02 2.52895E-02 7.37117E-03 0.159849 2 1 80.0 0.0 180.0 1.41822E-01 8.96023E-03 3.44405E-02 4.34007E-02 6.11997E-03 0.242843 2 4 80.0 45.0 135.0 1.31324E-01 9.00163E-03 3.33111E-02 4.23127E-02 6.14825E-03 0.253655 2 7 80.0 90.0 90.0 1.30472E-01 9.32632E-03 3.48858E-02 4.42121E-02 6.37002E-03 0.267382 1 1 87.5 0.0 180.0 2.29300E-01 7.25457E-03 6.07406E-02 6.79951E-02 4.95498E-03 0.264896 1 4 87.5 45.0 135.0 2.06456E-01 6.94149E-03 6.03656E-02 6.73071E-02 4.74114E-03 0.292389 1 7 87.5 90.0 90.0 1.87830E-01 7.97922E-03 6.17802E-02 6.97594E-02 5.44993E-03 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 485.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.852E-02 1.212E-01 1.486E-01 1.288E-01 1.921E-01 1.265E-02 4.583E+00 1.027E-02 7.013E-03 1 0.00 0.00 1.904E-02 2.258E-01 3.640E-02 4.291E-02 5.841E-02 1.305E-02 4.210E+00 3 4.04 5.00 1.046E-02 4.090E-01 2.578E-02 3.342E-02 5.198E-02 1.343E-02 4.647E+00 5 8.07 10.00 5.297E-03 2.562E-01 1.550E-02 1.968E-02 2.838E-02 1.358E-02 4.827E+00 7 12.11 15.00 2.593E-03 1.301E-01 8.519E-03 1.038E-02 1.371E-02 1.364E-02 4.909E+00 9 16.15 20.00 1.249E-03 6.234E-02 4.458E-03 5.197E-03 6.362E-03 1.366E-02 4.949E+00 Waveband 14 of 40 completed in 5.1 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 46.5 m at 495.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 490.0 nm to 500.0 nm: Ed(diffuse) = 4.478E-01 Ed(direct) = 1.039E+00 Ed(total) = 1.487E+00 Absorption Coefficients of Individual Components at 495.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0173 0.0426 0.0056 0.0173 0.0828 3 3.957 5.000 0.0173 0.0426 0.0056 0.0173 0.0828 5 7.914 10.000 0.0173 0.0426 0.0056 0.0173 0.0828 7 11.871 15.000 0.0173 0.0426 0.0056 0.0173 0.0828 9 15.828 20.000 0.0173 0.0426 0.0056 0.0173 0.0828 Scattering Coefficients of Individual Components at 495.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0030 0.5427 0.0000 0.1630 0.7086 3 3.957 5.000 0.0030 0.5427 0.0000 0.1630 0.7086 5 7.914 10.000 0.0030 0.5427 0.0000 0.1630 0.7086 7 11.871 15.000 0.0030 0.5427 0.0000 0.1630 0.7086 9 15.828 20.000 0.0030 0.5427 0.0000 0.1630 0.7086 Backscattering Coefficients of Individual Components at 495.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00151 0.00543 0.00000 0.00489 0.01182 3 3.957 5.000 0.00151 0.00543 0.00000 0.00489 0.01182 5 7.914 10.000 0.00151 0.00543 0.00000 0.00489 0.01182 7 11.871 15.000 0.00151 0.00543 0.00000 0.00489 0.01182 9 15.828 20.000 0.00151 0.00543 0.00000 0.00489 0.01182 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 0.0828 0.7086 0.7914 0.8954 0.01182 0.01669 3 3.957 5.000 0.0828 0.7086 0.7914 0.8954 0.01182 0.01669 5 7.914 10.000 0.0828 0.7086 0.7914 0.8954 0.01182 0.01669 7 11.871 15.000 0.0828 0.7086 0.7914 0.8954 0.01182 0.01669 9 15.828 20.000 0.0828 0.7086 0.7914 0.8954 0.01182 0.01669 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5362E-01 8 20.00 8.3963E-01 7 30.00 6.8537E-01 6 40.00 5.2466E-01 5 50.00 3.8205E-01 4 60.00 2.6904E-01 3 70.00 1.8650E-01 2 80.00 1.2992E-01 1 87.50 9.9446E-02 1 92.50 8.2151E-02 2 100.00 6.4581E-02 3 110.00 4.8736E-02 4 120.00 3.8174E-02 5 130.00 3.1246E-02 6 140.00 2.6723E-02 7 150.00 2.3811E-02 8 160.00 2.2013E-02 9 170.00 2.1036E-02 10 180.00 2.0692E-02 Asymptotic AOP values are MUu(inf) = 0.3814 MUd(inf) = 0.6855 MU(inf) = 0.5694 R(inf) = 0.0679 Lu(inf)/Ed(inf) = 0.013557 (1/sr) k(inf) = 0.1453 (1/m) absorp(check) = 0.0828 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 495.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.1783E-01 2.1044E+00 2.3222E+00 8.5887E-02 1.4866E+00 0.3943 0.7064 0.6032 5.7774E-02 1 0.00 0.00 1.9005E-01 1.7539E+00 1.9439E+00 8.1444E-02 1.4822E+00 0.4285 0.8451 0.7206 5.4950E-02 3 3.96 5.00 1.2565E-01 1.0726E+00 1.1983E+00 5.0181E-02 8.0405E-01 0.3994 0.7496 0.6291 6.2410E-02 5 7.91 10.00 6.9080E-02 5.7439E-01 6.4347E-01 2.6918E-02 4.1044E-01 0.3897 0.7146 0.5960 6.5584E-02 7 11.87 15.00 3.5434E-02 2.9145E-01 3.2688E-01 1.3660E-02 2.0379E-01 0.3855 0.6992 0.5817 6.7030E-02 9 15.83 20.00 1.7623E-02 1.4428E-01 1.6191E-01 6.7598E-03 9.9863E-02 0.3836 0.6921 0.5750 6.7690E-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 0.05759 0.08193 0.07955 0.07222 0.11205 0.11436 0.10279 5.000 5.010 5.005 0.10781 0.11592 0.11507 0.11530 0.13005 0.13104 0.12667 10.000 10.010 10.005 0.12850 0.13172 0.13137 0.13160 0.13794 0.13838 0.13658 15.000 15.010 15.005 0.13740 0.13877 0.13862 0.13882 0.14166 0.14186 0.14115 20.000 20.010 20.005 0.14149 0.14207 0.14201 0.14218 0.14345 0.14355 0.14332 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 495.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.20839E-01 1.04162E-02 8.36643E-03 1.87827E-02 7.00667E-03 0.069236 9 1 10.0 0.0 180.0 7.45626E-02 1.05582E-02 2.59601E-03 1.31542E-02 7.10215E-03 0.034817 9 4 10.0 45.0 135.0 8.19242E-02 1.05243E-02 3.00032E-03 1.35246E-02 7.07934E-03 0.036623 9 7 10.0 90.0 90.0 1.10686E-01 1.05325E-02 6.10292E-03 1.66354E-02 7.08490E-03 0.055137 8 1 20.0 0.0 180.0 5.85679E-02 1.06821E-02 1.42594E-03 1.21080E-02 7.18549E-03 0.024347 8 4 20.0 45.0 135.0 6.52019E-02 1.05929E-02 1.67414E-03 1.22671E-02 7.12553E-03 0.025676 8 7 20.0 90.0 90.0 9.58762E-02 1.06342E-02 3.66329E-03 1.42975E-02 7.15331E-03 0.038209 7 1 30.0 0.0 180.0 5.07815E-02 1.08786E-02 1.22243E-03 1.21010E-02 7.31769E-03 0.024072 7 4 30.0 45.0 135.0 5.62976E-02 1.08875E-02 1.37266E-03 1.22602E-02 7.32368E-03 0.024382 7 7 30.0 90.0 90.0 8.21193E-02 1.09033E-02 2.34396E-03 1.32473E-02 7.33431E-03 0.028543 6 1 40.0 0.0 180.0 4.82013E-02 1.10670E-02 1.35919E-03 1.24262E-02 7.44445E-03 0.028198 6 4 40.0 45.0 135.0 5.27055E-02 1.10714E-02 1.47413E-03 1.25455E-02 7.44738E-03 0.027969 6 7 40.0 90.0 90.0 7.39977E-02 1.11474E-02 2.13408E-03 1.32815E-02 7.49852E-03 0.028840 5 1 50.0 0.0 180.0 5.05375E-02 1.13129E-02 2.14706E-03 1.34600E-02 7.60986E-03 0.042485 5 4 50.0 45.0 135.0 5.38545E-02 1.12667E-02 2.23684E-03 1.35035E-02 7.57874E-03 0.041535 5 7 50.0 90.0 90.0 7.15860E-02 1.14087E-02 2.89181E-03 1.43005E-02 7.67427E-03 0.040396 4 1 60.0 0.0 180.0 5.99887E-02 1.12515E-02 5.00165E-03 1.62532E-02 7.56856E-03 0.083377 4 4 60.0 45.0 135.0 6.13464E-02 1.11997E-02 4.93904E-03 1.61387E-02 7.53366E-03 0.080511 4 7 60.0 90.0 90.0 7.57547E-02 1.15271E-02 5.76768E-03 1.72948E-02 7.75393E-03 0.076136 3 1 70.0 0.0 180.0 8.32348E-02 1.05337E-02 1.38159E-02 2.43496E-02 7.08566E-03 0.165987 3 4 70.0 45.0 135.0 8.08921E-02 1.06066E-02 1.32935E-02 2.39000E-02 7.13471E-03 0.164336 3 7 70.0 90.0 90.0 9.04354E-02 1.09635E-02 1.44560E-02 2.54195E-02 7.37482E-03 0.159849 2 1 80.0 0.0 180.0 1.41417E-01 9.08769E-03 3.43422E-02 4.34299E-02 6.11301E-03 0.242843 2 4 80.0 45.0 135.0 1.30950E-01 9.13422E-03 3.32161E-02 4.23503E-02 6.14431E-03 0.253655 2 7 80.0 90.0 90.0 1.30099E-01 9.47629E-03 3.47862E-02 4.42625E-02 6.37441E-03 0.267382 1 1 87.5 0.0 180.0 2.28646E-01 7.35795E-03 6.05673E-02 6.79252E-02 4.94947E-03 0.264896 1 4 87.5 45.0 135.0 2.05867E-01 7.04416E-03 6.01933E-02 6.72375E-02 4.73839E-03 0.292389 1 7 87.5 90.0 90.0 1.87294E-01 8.10872E-03 6.16039E-02 6.97127E-02 5.45449E-03 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 495.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.878E-02 1.208E-01 1.483E-01 1.285E-01 1.916E-01 1.263E-02 4.573E+00 1.042E-02 7.007E-03 1 0.00 0.00 1.932E-02 2.252E-01 3.690E-02 4.359E-02 5.948E-02 1.303E-02 4.216E+00 3 3.96 5.00 1.079E-02 4.183E-01 2.648E-02 3.441E-02 5.372E-02 1.342E-02 4.652E+00 5 7.91 10.00 5.568E-03 2.684E-01 1.623E-02 2.067E-02 2.998E-02 1.357E-02 4.834E+00 7 11.87 15.00 2.777E-03 1.393E-01 9.096E-03 1.112E-02 1.479E-02 1.363E-02 4.919E+00 9 15.83 20.00 1.363E-03 6.805E-02 4.855E-03 5.685E-03 7.006E-03 1.365E-02 4.960E+00 Waveband 15 of 40 completed in 5.0 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 46.5 m at 505.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 500.0 nm to 510.0 nm: Ed(diffuse) = 4.326E-01 Ed(direct) = 1.028E+00 Ed(total) = 1.460E+00 Absorption Coefficients of Individual Components at 505.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0256 0.0384 0.0048 0.0156 0.0844 3 3.901 5.000 0.0256 0.0384 0.0048 0.0156 0.0844 5 7.802 10.000 0.0256 0.0384 0.0048 0.0156 0.0844 7 11.703 15.000 0.0256 0.0384 0.0048 0.0156 0.0844 9 15.604 20.000 0.0256 0.0384 0.0048 0.0156 0.0844 Scattering Coefficients of Individual Components at 505.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0028 0.5319 0.0000 0.1611 0.6958 3 3.901 5.000 0.0028 0.5319 0.0000 0.1611 0.6958 5 7.802 10.000 0.0028 0.5319 0.0000 0.1611 0.6958 7 11.703 15.000 0.0028 0.5319 0.0000 0.1611 0.6958 9 15.604 20.000 0.0028 0.5319 0.0000 0.1611 0.6958 Backscattering Coefficients of Individual Components at 505.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00138 0.00532 0.00000 0.00483 0.01154 3 3.901 5.000 0.00138 0.00532 0.00000 0.00483 0.01154 5 7.802 10.000 0.00138 0.00532 0.00000 0.00483 0.01154 7 11.703 15.000 0.00138 0.00532 0.00000 0.00483 0.01154 9 15.604 20.000 0.00138 0.00532 0.00000 0.00483 0.01154 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 0.0844 0.6958 0.7802 0.8918 0.01154 0.01658 3 3.901 5.000 0.0844 0.6958 0.7802 0.8918 0.01154 0.01658 5 7.802 10.000 0.0844 0.6958 0.7802 0.8918 0.01154 0.01658 7 11.703 15.000 0.0844 0.6958 0.7802 0.8918 0.01154 0.01658 9 15.604 20.000 0.0844 0.6958 0.7802 0.8918 0.01154 0.01658 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5262E-01 8 20.00 8.3641E-01 7 30.00 6.7977E-01 6 40.00 5.1749E-01 5 50.00 3.7446E-01 4 60.00 2.6196E-01 3 70.00 1.8042E-01 2 80.00 1.2493E-01 1 87.50 9.5245E-02 1 92.50 7.8480E-02 2 100.00 6.1502E-02 3 110.00 4.6255E-02 4 120.00 3.6138E-02 5 130.00 2.9529E-02 6 140.00 2.5228E-02 7 150.00 2.2465E-02 8 160.00 2.0764E-02 9 170.00 1.9841E-02 10 180.00 1.9516E-02 Asymptotic AOP values are MUu(inf) = 0.3802 MUd(inf) = 0.6885 MU(inf) = 0.5758 R(inf) = 0.0651 Lu(inf)/Ed(inf) = 0.012942 (1/sr) k(inf) = 0.1466 (1/m) absorp(check) = 0.0844 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 505.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.0921E-01 2.0611E+00 2.2703E+00 8.2515E-02 1.4605E+00 0.3944 0.7086 0.6069 5.6499E-02 1 0.00 0.00 1.7889E-01 1.7163E+00 1.8952E+00 7.6480E-02 1.4544E+00 0.4275 0.8474 0.7271 5.2584E-02 3 3.90 5.00 1.1755E-01 1.0413E+00 1.1588E+00 4.6825E-02 7.8386E-01 0.3983 0.7528 0.6360 5.9736E-02 5 7.80 10.00 6.4255E-02 5.5398E-01 6.1823E-01 2.4972E-02 3.9769E-01 0.3886 0.7179 0.6029 6.2792E-02 7 11.70 15.00 3.2772E-02 2.7939E-01 3.1216E-01 1.2599E-02 1.9627E-01 0.3845 0.7025 0.5884 6.4194E-02 9 15.60 20.00 1.6204E-02 1.3747E-01 1.5368E-01 6.1979E-03 9.5588E-02 0.3825 0.6953 0.5817 6.4839E-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 0.05760 0.08284 0.08046 0.07325 0.11340 0.11563 0.10412 5.000 5.010 5.005 0.10901 0.11732 0.11648 0.11650 0.13130 0.13224 0.12789 10.000 10.010 10.005 0.12963 0.13295 0.13261 0.13275 0.13915 0.13958 0.13777 15.000 15.010 15.005 0.13855 0.13998 0.13983 0.13999 0.14288 0.14308 0.14236 20.000 20.010 20.005 0.14269 0.14330 0.14323 0.14338 0.14469 0.14478 0.14455 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 505.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.16731E-01 9.75487E-03 8.20628E-03 1.79612E-02 6.67923E-03 0.070301 9 1 10.0 0.0 180.0 7.20279E-02 9.88913E-03 2.52445E-03 1.24136E-02 6.77115E-03 0.035048 9 4 10.0 45.0 135.0 7.91393E-02 9.85684E-03 2.91979E-03 1.27766E-02 6.74904E-03 0.036894 9 7 10.0 90.0 90.0 1.06924E-01 9.86355E-03 5.97233E-03 1.58359E-02 6.75364E-03 0.055856 8 1 20.0 0.0 180.0 5.65770E-02 1.00058E-02 1.37831E-03 1.13841E-02 6.85104E-03 0.024362 8 4 20.0 45.0 135.0 6.29854E-02 9.92139E-03 1.61942E-03 1.15408E-02 6.79325E-03 0.025711 8 7 20.0 90.0 90.0 9.26170E-02 9.95855E-03 3.56800E-03 1.35266E-02 6.81869E-03 0.038524 7 1 30.0 0.0 180.0 4.90553E-02 1.01904E-02 1.18088E-03 1.13712E-02 6.97741E-03 0.024072 7 4 30.0 45.0 135.0 5.43844E-02 1.01974E-02 1.32610E-03 1.15235E-02 6.98225E-03 0.024384 7 7 30.0 90.0 90.0 7.93238E-02 1.02104E-02 2.27003E-03 1.24805E-02 6.99115E-03 0.028617 6 1 40.0 0.0 180.0 4.65627E-02 1.03673E-02 1.31299E-03 1.16802E-02 7.09853E-03 0.028198 6 4 40.0 45.0 135.0 5.09138E-02 1.03698E-02 1.42402E-03 1.17938E-02 7.10028E-03 0.027969 6 7 40.0 90.0 90.0 7.14822E-02 1.04395E-02 2.06191E-03 1.25014E-02 7.14800E-03 0.028845 5 1 50.0 0.0 180.0 4.88195E-02 1.05981E-02 2.07407E-03 1.26722E-02 7.25662E-03 0.042485 5 4 50.0 45.0 135.0 5.20237E-02 1.05533E-02 2.16080E-03 1.27141E-02 7.22592E-03 0.041535 5 7 50.0 90.0 90.0 6.91524E-02 1.06859E-02 2.79351E-03 1.34794E-02 7.31670E-03 0.040396 4 1 60.0 0.0 180.0 5.79495E-02 1.05414E-02 4.83163E-03 1.53730E-02 7.21774E-03 0.083377 4 4 60.0 45.0 135.0 5.92610E-02 1.04915E-02 4.77115E-03 1.52626E-02 7.18357E-03 0.080511 4 7 60.0 90.0 90.0 7.31795E-02 1.07992E-02 5.57162E-03 1.63708E-02 7.39428E-03 0.076136 3 1 70.0 0.0 180.0 8.04053E-02 9.87021E-03 1.33462E-02 2.32165E-02 6.75820E-03 0.165987 3 4 70.0 45.0 135.0 7.81422E-02 9.93777E-03 1.28416E-02 2.27793E-02 6.80446E-03 0.164336 3 7 70.0 90.0 90.0 8.73611E-02 1.02753E-02 1.39646E-02 2.42399E-02 7.03558E-03 0.159849 2 1 80.0 0.0 180.0 1.36610E-01 8.51682E-03 3.31748E-02 4.16916E-02 5.83153E-03 0.242843 2 4 80.0 45.0 135.0 1.26498E-01 8.56023E-03 3.20869E-02 4.06471E-02 5.86125E-03 0.253655 2 7 80.0 90.0 90.0 1.25677E-01 8.88527E-03 3.36037E-02 4.24890E-02 6.08381E-03 0.267382 1 1 87.5 0.0 180.0 2.20873E-01 6.89744E-03 5.85083E-02 6.54058E-02 4.72272E-03 0.264896 1 4 87.5 45.0 135.0 1.98869E-01 6.60353E-03 5.81471E-02 6.47506E-02 4.52148E-03 0.292389 1 7 87.5 90.0 90.0 1.80927E-01 7.60715E-03 5.95098E-02 6.71169E-02 5.20867E-03 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 505.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.796E-02 1.167E-01 1.431E-01 1.240E-01 1.850E-01 1.230E-02 4.594E+00 9.755E-03 6.679E-03 1 0.00 0.00 1.809E-02 2.175E-01 3.470E-02 4.113E-02 5.645E-02 1.244E-02 4.228E+00 3 3.90 5.00 1.004E-02 4.055E-01 2.481E-02 3.237E-02 5.087E-02 1.281E-02 4.665E+00 5 7.80 10.00 5.151E-03 2.607E-01 1.510E-02 1.933E-02 2.825E-02 1.295E-02 4.848E+00 7 11.70 15.00 2.553E-03 1.352E-01 8.420E-03 1.035E-02 1.387E-02 1.301E-02 4.934E+00 9 15.60 20.00 1.245E-03 6.583E-02 4.469E-03 5.260E-03 6.528E-03 1.303E-02 4.976E+00 Waveband 16 of 40 completed in 5.0 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 46.5 m at 515.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 510.0 nm to 520.0 nm: Ed(diffuse) = 4.102E-01 Ed(direct) = 9.960E-01 Ed(total) = 1.406E+00 Absorption Coefficients of Individual Components at 515.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0396 0.0348 0.0042 0.0141 0.0927 3 3.880 5.000 0.0396 0.0348 0.0042 0.0141 0.0927 5 7.760 10.000 0.0396 0.0348 0.0042 0.0141 0.0927 7 11.640 15.000 0.0396 0.0348 0.0042 0.0141 0.0927 9 15.520 20.000 0.0396 0.0348 0.0042 0.0141 0.0927 Scattering Coefficients of Individual Components at 515.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0025 0.5216 0.0000 0.1591 0.6833 3 3.880 5.000 0.0025 0.5216 0.0000 0.1591 0.6833 5 7.760 10.000 0.0025 0.5216 0.0000 0.1591 0.6833 7 11.640 15.000 0.0025 0.5216 0.0000 0.1591 0.6833 9 15.520 20.000 0.0025 0.5216 0.0000 0.1591 0.6833 Backscattering Coefficients of Individual Components at 515.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00127 0.00522 0.00000 0.00477 0.01126 3 3.880 5.000 0.00127 0.00522 0.00000 0.00477 0.01126 5 7.760 10.000 0.00127 0.00522 0.00000 0.00477 0.01126 7 11.640 15.000 0.00127 0.00522 0.00000 0.00477 0.01126 9 15.520 20.000 0.00127 0.00522 0.00000 0.00477 0.01126 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 0.0927 0.6833 0.7760 0.8805 0.01126 0.01648 3 3.880 5.000 0.0927 0.6833 0.7760 0.8805 0.01126 0.01648 5 7.760 10.000 0.0927 0.6833 0.7760 0.8805 0.01126 0.01648 7 11.640 15.000 0.0927 0.6833 0.7760 0.8805 0.01126 0.01648 9 15.520 20.000 0.0927 0.6833 0.7760 0.8805 0.01126 0.01648 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4949E-01 8 20.00 8.2643E-01 7 30.00 6.6263E-01 6 40.00 4.9588E-01 5 50.00 3.5198E-01 4 60.00 2.4138E-01 3 70.00 1.6309E-01 2 80.00 1.1101E-01 1 87.50 8.3678E-02 1 92.50 6.8480E-02 2 100.00 5.3231E-02 3 110.00 3.9702E-02 4 120.00 3.0845E-02 5 130.00 2.5124E-02 6 140.00 2.1435E-02 7 150.00 1.9085E-02 8 160.00 1.7646E-02 9 170.00 1.6868E-02 10 180.00 1.6595E-02 Asymptotic AOP values are MUu(inf) = 0.3778 MUd(inf) = 0.6975 MU(inf) = 0.5940 R(inf) = 0.0577 Lu(inf)/Ed(inf) = 0.011418 (1/sr) k(inf) = 0.1561 (1/m) absorp(check) = 0.0927 = 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 1.9274E-01 1.9792E+00 2.1720E+00 7.5480E-02 1.4062E+00 0.3916 0.7105 0.6127 5.3675E-02 1 0.00 0.00 1.5337E-01 1.6370E+00 1.7903E+00 6.5195E-02 1.3959E+00 0.4251 0.8528 0.7433 4.6703E-02 3 3.88 5.00 9.6493E-02 9.4582E-01 1.0423E+00 3.8169E-02 7.1833E-01 0.3956 0.7595 0.6526 5.3136E-02 5 7.76 10.00 5.0271E-02 4.7899E-01 5.2926E-01 1.9410E-02 3.4758E-01 0.3861 0.7257 0.6201 5.5844E-02 7 11.64 15.00 2.4441E-02 2.3013E-01 2.5457E-01 9.3376E-03 1.6358E-01 0.3821 0.7108 0.6059 5.7083E-02 9 15.52 20.00 1.1521E-02 1.0793E-01 1.1945E-01 4.3800E-03 7.5972E-02 0.3802 0.7039 0.5993 5.7653E-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 0.06156 0.08971 0.08730 0.08021 0.12220 0.12426 0.11260 5.000 5.010 5.005 0.11856 0.12728 0.12647 0.12596 0.14073 0.14156 0.13724 10.000 10.010 10.005 0.13924 0.14273 0.14240 0.14229 0.14865 0.14902 0.14722 15.000 15.010 15.005 0.14812 0.14962 0.14948 0.14951 0.15238 0.15256 0.15183 20.000 20.010 20.005 0.15221 0.15286 0.15280 0.15288 0.15418 0.15426 0.15402 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 515.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.10700E-01 8.27997E-03 7.89040E-03 1.61704E-02 5.88798E-03 0.071277 9 1 10.0 0.0 180.0 6.83067E-02 8.40116E-03 2.40853E-03 1.08097E-02 5.97416E-03 0.035261 9 4 10.0 45.0 135.0 7.50506E-02 8.37104E-03 2.78762E-03 1.11587E-02 5.95274E-03 0.037143 9 7 10.0 90.0 90.0 1.01400E-01 8.37060E-03 5.73065E-03 1.41013E-02 5.95243E-03 0.056516 8 1 20.0 0.0 180.0 5.36540E-02 8.50295E-03 1.30784E-03 9.81078E-03 6.04654E-03 0.024375 8 4 20.0 45.0 135.0 5.97313E-02 8.42669E-03 1.53765E-03 9.96434E-03 5.99232E-03 0.025743 8 7 20.0 90.0 90.0 8.78321E-02 8.44847E-03 3.40910E-03 1.18576E-02 6.00780E-03 0.038814 7 1 30.0 0.0 180.0 4.65209E-02 8.66127E-03 1.11987E-03 9.78114E-03 6.15913E-03 0.024072 7 4 30.0 45.0 135.0 5.15753E-02 8.66099E-03 1.25768E-03 9.91868E-03 6.15893E-03 0.024385 7 7 30.0 90.0 90.0 7.52222E-02 8.65900E-03 2.15775E-03 1.08168E-02 6.15752E-03 0.028685 6 1 40.0 0.0 180.0 4.41571E-02 8.81176E-03 1.24515E-03 1.00569E-02 6.26615E-03 0.028198 6 4 40.0 45.0 135.0 4.82834E-02 8.80587E-03 1.35045E-03 1.01563E-02 6.26196E-03 0.027969 6 7 40.0 90.0 90.0 6.77892E-02 8.84938E-03 1.95571E-03 1.08051E-02 6.29289E-03 0.028850 5 1 50.0 0.0 180.0 4.62973E-02 9.00788E-03 1.96692E-03 1.09748E-02 6.40561E-03 0.042485 5 4 50.0 45.0 135.0 4.93360E-02 8.96085E-03 2.04917E-03 1.10100E-02 6.37216E-03 0.041535 5 7 50.0 90.0 90.0 6.55798E-02 9.05745E-03 2.64918E-03 1.17066E-02 6.44086E-03 0.040396 4 1 60.0 0.0 180.0 5.49556E-02 8.95986E-03 4.58201E-03 1.35419E-02 6.37146E-03 0.083377 4 4 60.0 45.0 135.0 5.61993E-02 8.90819E-03 4.52465E-03 1.34328E-02 6.33472E-03 0.080511 4 7 60.0 90.0 90.0 6.93988E-02 9.15436E-03 5.28376E-03 1.44381E-02 6.50977E-03 0.076136 3 1 70.0 0.0 180.0 7.62513E-02 8.39117E-03 1.26567E-02 2.10479E-02 5.96705E-03 0.165987 3 4 70.0 45.0 135.0 7.41051E-02 8.44019E-03 1.21781E-02 2.06183E-02 6.00191E-03 0.164336 3 7 70.0 90.0 90.0 8.28477E-02 8.71540E-03 1.32431E-02 2.19585E-02 6.19762E-03 0.159849 2 1 80.0 0.0 180.0 1.29552E-01 7.24293E-03 3.14609E-02 3.87038E-02 5.15053E-03 0.242843 2 4 80.0 45.0 135.0 1.19963E-01 7.27314E-03 3.04292E-02 3.77023E-02 5.17201E-03 0.253655 2 7 80.0 90.0 90.0 1.19184E-01 7.54213E-03 3.18676E-02 3.94097E-02 5.36329E-03 0.267382 1 1 87.5 0.0 180.0 2.09462E-01 5.86899E-03 5.54856E-02 6.13546E-02 4.17351E-03 0.264896 1 4 87.5 45.0 135.0 1.88595E-01 5.61432E-03 5.51430E-02 6.07573E-02 3.99241E-03 0.292389 1 7 87.5 90.0 90.0 1.71580E-01 6.46466E-03 5.64353E-02 6.28999E-02 4.59710E-03 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 515.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.617E-02 1.107E-01 1.354E-01 1.172E-01 1.750E-01 1.150E-02 4.668E+00 8.280E-03 5.888E-03 1 0.00 0.00 1.536E-02 2.062E-01 2.982E-02 3.551E-02 4.929E-02 1.100E-02 4.246E+00 3 3.88 5.00 8.141E-03 3.719E-01 2.060E-02 2.707E-02 4.303E-02 1.133E-02 4.689E+00 5 7.76 10.00 3.985E-03 2.310E-01 1.194E-02 1.539E-02 2.272E-02 1.147E-02 4.870E+00 7 11.64 15.00 1.885E-03 1.153E-01 6.345E-03 7.848E-03 1.062E-02 1.152E-02 4.955E+00 9 15.52 20.00 8.767E-04 5.388E-02 3.213E-03 3.803E-03 4.760E-03 1.154E-02 4.996E+00 Waveband 17 of 40 completed in 5.0 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 46.5 m at 525.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 520.0 nm to 530.0 nm: Ed(diffuse) = 4.132E-01 Ed(direct) = 1.024E+00 Ed(total) = 1.437E+00 Absorption Coefficients of Individual Components at 525.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0417 0.0300 0.0037 0.0122 0.0875 3 3.797 5.000 0.0417 0.0300 0.0037 0.0122 0.0875 5 7.593 10.000 0.0417 0.0300 0.0037 0.0122 0.0875 7 11.390 15.000 0.0417 0.0300 0.0037 0.0122 0.0875 9 15.186 20.000 0.0417 0.0300 0.0037 0.0122 0.0875 Scattering Coefficients of Individual Components at 525.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0023 0.5117 0.0000 0.1578 0.6718 3 3.797 5.000 0.0023 0.5117 0.0000 0.1578 0.6718 5 7.593 10.000 0.0023 0.5117 0.0000 0.1578 0.6718 7 11.390 15.000 0.0023 0.5117 0.0000 0.1578 0.6718 9 15.186 20.000 0.0023 0.5117 0.0000 0.1578 0.6718 Backscattering Coefficients of Individual Components at 525.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00117 0.00512 0.00000 0.00473 0.01102 3 3.797 5.000 0.00117 0.00512 0.00000 0.00473 0.01102 5 7.593 10.000 0.00117 0.00512 0.00000 0.00473 0.01102 7 11.390 15.000 0.00117 0.00512 0.00000 0.00473 0.01102 9 15.186 20.000 0.00117 0.00512 0.00000 0.00473 0.01102 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 0.0875 0.6718 0.7593 0.8847 0.01102 0.01640 3 3.797 5.000 0.0875 0.6718 0.7593 0.8847 0.01102 0.01640 5 7.593 10.000 0.0875 0.6718 0.7593 0.8847 0.01102 0.01640 7 11.390 15.000 0.0875 0.6718 0.7593 0.8847 0.01102 0.01640 9 15.186 20.000 0.0875 0.6718 0.7593 0.8847 0.01102 0.01640 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5070E-01 8 20.00 8.3026E-01 7 30.00 6.6917E-01 6 40.00 5.0406E-01 5 50.00 3.6040E-01 4 60.00 2.4899E-01 3 70.00 1.6941E-01 2 80.00 1.1601E-01 1 87.50 8.7785E-02 1 92.50 7.1998E-02 2 100.00 5.6101E-02 3 110.00 4.1934E-02 4 120.00 3.2614E-02 5 130.00 2.6569E-02 6 140.00 2.2658E-02 7 150.00 2.0159E-02 8 160.00 1.8625E-02 9 170.00 1.7795E-02 10 180.00 1.7503E-02 Asymptotic AOP values are MUu(inf) = 0.3782 MUd(inf) = 0.6942 MU(inf) = 0.5877 R(inf) = 0.0601 Lu(inf)/Ed(inf) = 0.011877 (1/sr) k(inf) = 0.1490 (1/m) absorp(check) = 0.0875 = 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 1.9782E-01 2.0178E+00 2.2157E+00 7.8088E-02 1.4373E+00 0.3947 0.7123 0.6135 5.4328E-02 1 0.00 0.00 1.6285E-01 1.6777E+00 1.8406E+00 6.9332E-02 1.4286E+00 0.4258 0.8515 0.7385 4.8533E-02 3 3.80 5.00 1.0576E-01 1.0027E+00 1.1085E+00 4.1942E-02 7.6060E-01 0.3966 0.7586 0.6483 5.5143E-02 5 7.59 10.00 5.7191E-02 5.2704E-01 5.8423E-01 2.2127E-02 3.8155E-01 0.3869 0.7240 0.6152 5.7991E-02 7 11.39 15.00 2.8865E-02 2.6283E-01 2.9170E-01 1.1046E-02 1.8622E-01 0.3827 0.7085 0.6005 5.9315E-02 9 15.19 20.00 1.4119E-02 1.2789E-01 1.4201E-01 5.3747E-03 8.9678E-02 0.3807 0.7012 0.5937 5.9933E-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 0.05797 0.08475 0.08238 0.07529 0.11595 0.11803 0.10659 5.000 5.010 5.005 0.11128 0.11994 0.11912 0.11876 0.13361 0.13448 0.13014 10.000 10.010 10.005 0.13173 0.13524 0.13490 0.13488 0.14138 0.14178 0.13995 15.000 15.010 15.005 0.14067 0.14221 0.14205 0.14214 0.14511 0.14530 0.14456 20.000 20.010 20.005 0.14486 0.14553 0.14546 0.14558 0.14695 0.14703 0.14679 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 525.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.11508E-01 8.80369E-03 8.05409E-03 1.68578E-02 6.12496E-03 0.072229 9 1 10.0 0.0 180.0 6.88052E-02 8.92722E-03 2.44035E-03 1.13676E-02 6.21090E-03 0.035468 9 4 10.0 45.0 135.0 7.55983E-02 8.89711E-03 2.82629E-03 1.17234E-02 6.18995E-03 0.037386 9 7 10.0 90.0 90.0 1.02140E-01 8.90121E-03 5.83812E-03 1.47393E-02 6.19280E-03 0.057158 8 1 20.0 0.0 180.0 5.40455E-02 9.03347E-03 1.31810E-03 1.03516E-02 6.28482E-03 0.024389 8 4 20.0 45.0 135.0 6.01672E-02 8.95561E-03 1.55074E-03 1.05063E-02 6.23065E-03 0.025774 8 7 20.0 90.0 90.0 8.84730E-02 8.98620E-03 3.45894E-03 1.24451E-02 6.25193E-03 0.039096 7 1 30.0 0.0 180.0 4.68604E-02 9.20064E-03 1.12804E-03 1.03287E-02 6.40112E-03 0.024072 7 4 30.0 45.0 135.0 5.19522E-02 9.20473E-03 1.26695E-03 1.04717E-02 6.40397E-03 0.024387 7 7 30.0 90.0 90.0 7.57678E-02 9.21284E-03 2.17841E-03 1.13913E-02 6.40961E-03 0.028751 6 1 40.0 0.0 180.0 4.44793E-02 9.36051E-03 1.25424E-03 1.06148E-02 6.51235E-03 0.028198 6 4 40.0 45.0 135.0 4.86358E-02 9.36000E-03 1.36030E-03 1.07203E-02 6.51199E-03 0.027969 6 7 40.0 90.0 90.0 6.82839E-02 9.41949E-03 1.97030E-03 1.13898E-02 6.55338E-03 0.028855 5 1 50.0 0.0 180.0 4.66351E-02 9.56934E-03 1.98127E-03 1.15506E-02 6.65764E-03 0.042485 5 4 50.0 45.0 135.0 4.96960E-02 9.52603E-03 2.06412E-03 1.15901E-02 6.62750E-03 0.041535 5 7 50.0 90.0 90.0 6.60583E-02 9.64383E-03 2.66852E-03 1.23123E-02 6.70946E-03 0.040396 4 1 60.0 0.0 180.0 5.53566E-02 9.51880E-03 4.61544E-03 1.41342E-02 6.62247E-03 0.083377 4 4 60.0 45.0 135.0 5.66094E-02 9.47116E-03 4.55767E-03 1.40288E-02 6.58933E-03 0.080511 4 7 60.0 90.0 90.0 6.99052E-02 9.74923E-03 5.32232E-03 1.50716E-02 6.78279E-03 0.076136 3 1 70.0 0.0 180.0 7.68077E-02 8.91462E-03 1.27491E-02 2.16637E-02 6.20213E-03 0.165987 3 4 70.0 45.0 135.0 7.46458E-02 8.97390E-03 1.22670E-02 2.12409E-02 6.24337E-03 0.164336 3 7 70.0 90.0 90.0 8.34523E-02 9.28233E-03 1.33398E-02 2.26221E-02 6.45796E-03 0.159849 2 1 80.0 0.0 180.0 1.30497E-01 7.69437E-03 3.16904E-02 3.93848E-02 5.35317E-03 0.242843 2 4 80.0 45.0 135.0 1.20838E-01 7.73281E-03 3.06512E-02 3.83840E-02 5.37992E-03 0.253655 2 7 80.0 90.0 90.0 1.20054E-01 8.03239E-03 3.21002E-02 4.01326E-02 5.58834E-03 0.267382 1 1 87.5 0.0 180.0 2.10990E-01 6.23390E-03 5.58905E-02 6.21244E-02 4.33709E-03 0.264896 1 4 87.5 45.0 135.0 1.89971E-01 5.96832E-03 5.55454E-02 6.15137E-02 4.15231E-03 0.292389 1 7 87.5 90.0 90.0 1.72832E-01 6.88342E-03 5.68471E-02 6.37305E-02 4.78897E-03 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 525.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.686E-02 1.115E-01 1.366E-01 1.183E-01 1.765E-01 1.173E-02 4.632E+00 8.804E-03 6.125E-03 1 0.00 0.00 1.633E-02 2.077E-01 3.156E-02 3.761E-02 5.214E-02 1.143E-02 4.247E+00 3 3.80 5.00 8.952E-03 3.890E-01 2.238E-02 2.941E-02 4.674E-02 1.177E-02 4.685E+00 5 7.59 10.00 4.543E-03 2.510E-01 1.346E-02 1.737E-02 2.571E-02 1.191E-02 4.870E+00 7 11.39 15.00 2.228E-03 1.300E-01 7.423E-03 9.204E-03 1.251E-02 1.196E-02 4.958E+00 9 15.19 20.00 1.075E-03 6.294E-02 3.901E-03 4.632E-03 5.825E-03 1.198E-02 5.001E+00 Waveband 18 of 40 completed in 4.8 sec. * * * * * Output for wavelength band 19 (530.0 to 540.0 nm; nominal wavelength = 535.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 46.5 m at 535.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 530.0 nm to 540.0 nm: Ed(diffuse) = 4.123E-01 Ed(direct) = 1.041E+00 Ed(total) = 1.453E+00 Absorption Coefficients of Individual Components at 535.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0452 0.0264 0.0032 0.0107 0.0855 3 3.729 5.000 0.0452 0.0264 0.0032 0.0107 0.0855 5 7.458 10.000 0.0452 0.0264 0.0032 0.0107 0.0855 7 11.187 15.000 0.0452 0.0264 0.0032 0.0107 0.0855 9 14.916 20.000 0.0452 0.0264 0.0032 0.0107 0.0855 Scattering Coefficients of Individual Components at 535.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0022 0.5021 0.0000 0.1561 0.6603 3 3.729 5.000 0.0022 0.5021 0.0000 0.1561 0.6603 5 7.458 10.000 0.0022 0.5021 0.0000 0.1561 0.6603 7 11.187 15.000 0.0022 0.5021 0.0000 0.1561 0.6603 9 14.916 20.000 0.0022 0.5021 0.0000 0.1561 0.6603 Backscattering Coefficients of Individual Components at 535.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00108 0.00502 0.00000 0.00468 0.01078 3 3.729 5.000 0.00108 0.00502 0.00000 0.00468 0.01078 5 7.458 10.000 0.00108 0.00502 0.00000 0.00468 0.01078 7 11.187 15.000 0.00108 0.00502 0.00000 0.00468 0.01078 9 14.916 20.000 0.00108 0.00502 0.00000 0.00468 0.01078 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 0.0855 0.6603 0.7458 0.8854 0.01078 0.01633 3 3.729 5.000 0.0855 0.6603 0.7458 0.8854 0.01078 0.01633 5 7.458 10.000 0.0855 0.6603 0.7458 0.8854 0.01078 0.01633 7 11.187 15.000 0.0855 0.6603 0.7458 0.8854 0.01078 0.01633 9 14.916 20.000 0.0855 0.6603 0.7458 0.8854 0.01078 0.01633 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5090E-01 8 20.00 8.3092E-01 7 30.00 6.7029E-01 6 40.00 5.0545E-01 5 50.00 3.6182E-01 4 60.00 2.5027E-01 3 70.00 1.7046E-01 2 80.00 1.1682E-01 1 87.50 8.8433E-02 1 92.50 7.2541E-02 2 100.00 5.6530E-02 3 110.00 4.2251E-02 4 120.00 3.2849E-02 5 130.00 2.6747E-02 6 140.00 2.2797E-02 7 150.00 2.0272E-02 8 160.00 1.8722E-02 9 170.00 1.7883E-02 10 180.00 1.7588E-02 Asymptotic AOP values are MUu(inf) = 0.3781 MUd(inf) = 0.6936 MU(inf) = 0.5868 R(inf) = 0.0603 Lu(inf)/Ed(inf) = 0.011906 (1/sr) k(inf) = 0.1457 (1/m) absorp(check) = 0.0855 = 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 1.9884E-01 2.0355E+00 2.2343E+00 7.8816E-02 1.4533E+00 0.3964 0.7140 0.6152 5.4233E-02 1 0.00 0.00 1.6514E-01 1.6964E+00 1.8615E+00 7.0302E-02 1.4447E+00 0.4257 0.8517 0.7383 4.8660E-02 3 3.73 5.00 1.0876E-01 1.0284E+00 1.1372E+00 4.3148E-02 7.8094E-01 0.3967 0.7593 0.6488 5.5251E-02 5 7.46 10.00 5.9833E-02 5.4976E-01 6.0959E-01 2.3153E-02 3.9827E-01 0.3870 0.7244 0.6154 5.8135E-02 7 11.19 15.00 3.0731E-02 2.7891E-01 3.0964E-01 1.1759E-02 1.9765E-01 0.3827 0.7087 0.6004 5.9495E-02 9 14.92 20.00 1.5293E-02 1.3804E-01 1.5333E-01 5.8203E-03 9.6782E-02 0.3806 0.7011 0.5932 6.0139E-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 0.05626 0.08263 0.08029 0.07319 0.11325 0.11530 0.10397 5.000 5.010 5.005 0.10795 0.11668 0.11585 0.11546 0.13039 0.13126 0.12688 10.000 10.010 10.005 0.12823 0.13181 0.13146 0.13142 0.13804 0.13845 0.13657 15.000 15.010 15.005 0.13719 0.13878 0.13862 0.13870 0.14177 0.14196 0.14119 20.000 20.010 20.005 0.14145 0.14215 0.14208 0.14220 0.14363 0.14372 0.14345 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 535.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.11243E-01 8.91757E-03 8.13347E-03 1.70510E-02 6.13618E-03 0.073114 9 1 10.0 0.0 180.0 6.86415E-02 9.04048E-03 2.44778E-03 1.14883E-02 6.22075E-03 0.035660 9 4 10.0 45.0 135.0 7.54184E-02 9.01075E-03 2.83658E-03 1.18473E-02 6.20029E-03 0.037611 9 7 10.0 90.0 90.0 1.01897E-01 9.01682E-03 5.88520E-03 1.49020E-02 6.20447E-03 0.057757 8 1 20.0 0.0 180.0 5.39169E-02 9.14730E-03 1.31563E-03 1.04629E-02 6.29425E-03 0.024401 8 4 20.0 45.0 135.0 6.00240E-02 9.06971E-03 1.54878E-03 1.06185E-02 6.24087E-03 0.025803 8 7 20.0 90.0 90.0 8.82625E-02 9.10388E-03 3.47390E-03 1.25778E-02 6.26438E-03 0.039359 7 1 30.0 0.0 180.0 4.67489E-02 9.31616E-03 1.12535E-03 1.04415E-02 6.41045E-03 0.024072 7 4 30.0 45.0 135.0 5.18291E-02 9.32206E-03 1.26402E-03 1.05861E-02 6.41451E-03 0.024388 7 7 30.0 90.0 90.0 7.55844E-02 9.33475E-03 2.17779E-03 1.15125E-02 6.42324E-03 0.028813 6 1 40.0 0.0 180.0 4.43735E-02 9.47807E-03 1.25125E-03 1.07293E-02 6.52186E-03 0.028198 6 4 40.0 45.0 135.0 4.85201E-02 9.47988E-03 1.35706E-03 1.08369E-02 6.52310E-03 0.027969 6 7 40.0 90.0 90.0 6.81214E-02 9.54621E-03 1.96591E-03 1.15121E-02 6.56874E-03 0.028859 5 1 50.0 0.0 180.0 4.65242E-02 9.68982E-03 1.97656E-03 1.16664E-02 6.66757E-03 0.042485 5 4 50.0 45.0 135.0 4.95778E-02 9.64876E-03 2.05921E-03 1.17080E-02 6.63931E-03 0.041535 5 7 50.0 90.0 90.0 6.59011E-02 9.77543E-03 2.66217E-03 1.24376E-02 6.72647E-03 0.040396 4 1 60.0 0.0 180.0 5.52249E-02 9.63899E-03 4.60446E-03 1.42435E-02 6.63259E-03 0.083377 4 4 60.0 45.0 135.0 5.64747E-02 9.59392E-03 4.54682E-03 1.41407E-02 6.60157E-03 0.080511 4 7 60.0 90.0 90.0 6.97389E-02 9.88405E-03 5.30966E-03 1.51937E-02 6.80121E-03 0.076136 3 1 70.0 0.0 180.0 7.66250E-02 9.02752E-03 1.27188E-02 2.17463E-02 6.21183E-03 0.165987 3 4 70.0 45.0 135.0 7.44683E-02 9.09087E-03 1.22378E-02 2.13287E-02 6.25542E-03 0.164336 3 7 70.0 90.0 90.0 8.32537E-02 9.41224E-03 1.33080E-02 2.27203E-02 6.47656E-03 0.159849 2 1 80.0 0.0 180.0 1.30187E-01 7.79200E-03 3.16150E-02 3.94070E-02 5.36167E-03 0.242843 2 4 80.0 45.0 135.0 1.20551E-01 7.83403E-03 3.05783E-02 3.84123E-02 5.39060E-03 0.253655 2 7 80.0 90.0 90.0 1.19768E-01 8.14582E-03 3.20238E-02 4.01696E-02 5.60514E-03 0.267382 1 1 87.5 0.0 180.0 2.10488E-01 6.31305E-03 5.57575E-02 6.20705E-02 4.34401E-03 0.264896 1 4 87.5 45.0 135.0 1.89519E-01 6.04662E-03 5.54132E-02 6.14599E-02 4.16068E-03 0.292389 1 7 87.5 90.0 90.0 1.72420E-01 6.98122E-03 5.67118E-02 6.36930E-02 4.80377E-03 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 535.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.705E-02 1.112E-01 1.363E-01 1.181E-01 1.762E-01 1.173E-02 4.622E+00 8.918E-03 6.136E-03 1 0.00 0.00 1.654E-02 2.073E-01 3.194E-02 3.812E-02 5.293E-02 1.145E-02 4.251E+00 3 3.73 5.00 9.206E-03 3.957E-01 2.291E-02 3.016E-02 4.805E-02 1.179E-02 4.687E+00 5 7.46 10.00 4.751E-03 2.607E-01 1.401E-02 1.813E-02 2.695E-02 1.193E-02 4.874E+00 7 11.19 15.00 2.369E-03 1.377E-01 7.862E-03 9.781E-03 1.336E-02 1.199E-02 4.963E+00 9 14.92 20.00 1.162E-03 6.784E-02 4.204E-03 5.011E-03 6.337E-03 1.201E-02 5.008E+00 Waveband 19 of 40 completed in 4.8 sec. * * * * * Output for wavelength band 20 (540.0 to 550.0 nm; nominal wavelength = 545.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 46.5 m at 545.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 540.0 nm to 550.0 nm: Ed(diffuse) = 4.017E-01 Ed(direct) = 1.032E+00 Ed(total) = 1.434E+00 Absorption Coefficients of Individual Components at 545.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0511 0.0228 0.0028 0.0093 0.0859 3 3.676 5.000 0.0511 0.0228 0.0028 0.0093 0.0859 5 7.353 10.000 0.0511 0.0228 0.0028 0.0093 0.0859 7 11.029 15.000 0.0511 0.0228 0.0028 0.0093 0.0859 9 14.705 20.000 0.0511 0.0228 0.0028 0.0093 0.0859 Scattering Coefficients of Individual Components at 545.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0020 0.4929 0.0000 0.1545 0.6493 3 3.676 5.000 0.0020 0.4929 0.0000 0.1545 0.6493 5 7.353 10.000 0.0020 0.4929 0.0000 0.1545 0.6493 7 11.029 15.000 0.0020 0.4929 0.0000 0.1545 0.6493 9 14.705 20.000 0.0020 0.4929 0.0000 0.1545 0.6493 Backscattering Coefficients of Individual Components at 545.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00100 0.00493 0.00000 0.00463 0.01056 3 3.676 5.000 0.00100 0.00493 0.00000 0.00463 0.01056 5 7.353 10.000 0.00100 0.00493 0.00000 0.00463 0.01056 7 11.029 15.000 0.00100 0.00493 0.00000 0.00463 0.01056 9 14.705 20.000 0.00100 0.00493 0.00000 0.00463 0.01056 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 0.0859 0.6493 0.7353 0.8831 0.01056 0.01626 3 3.676 5.000 0.0859 0.6493 0.7353 0.8831 0.01056 0.01626 5 7.353 10.000 0.0859 0.6493 0.7353 0.8831 0.01056 0.01626 7 11.029 15.000 0.0859 0.6493 0.7353 0.8831 0.01056 0.01626 9 14.705 20.000 0.0859 0.6493 0.7353 0.8831 0.01056 0.01626 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5031E-01 8 20.00 8.2904E-01 7 30.00 6.6706E-01 6 40.00 5.0138E-01 5 50.00 3.5760E-01 4 60.00 2.4640E-01 3 70.00 1.6720E-01 2 80.00 1.1419E-01 1 87.50 8.6246E-02 1 92.50 7.0645E-02 2 100.00 5.4953E-02 3 110.00 4.0991E-02 4 120.00 3.1822E-02 5 130.00 2.5884E-02 6 140.00 2.2047E-02 7 150.00 1.9598E-02 8 160.00 1.8096E-02 9 170.00 1.7283E-02 10 180.00 1.6998E-02 Asymptotic AOP values are MUu(inf) = 0.3774 MUd(inf) = 0.6954 MU(inf) = 0.5904 R(inf) = 0.0589 Lu(inf)/Ed(inf) = 0.011587 (1/sr) k(inf) = 0.1455 (1/m) absorp(check) = 0.0859 = 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 1.9343E-01 2.0041E+00 2.1975E+00 7.6765E-02 1.4340E+00 0.3969 0.7155 0.6176 5.3534E-02 1 0.00 0.00 1.5890E-01 1.6703E+00 1.8292E+00 6.7552E-02 1.4247E+00 0.4251 0.8530 0.7420 4.7414E-02 3 3.68 5.00 1.0466E-01 1.0116E+00 1.1163E+00 4.1467E-02 7.7032E-01 0.3962 0.7615 0.6529 5.3830E-02 5 7.35 10.00 5.7656E-02 5.4120E-01 5.9885E-01 2.2280E-02 3.9323E-01 0.3864 0.7266 0.6194 5.6660E-02 7 11.03 15.00 2.9659E-02 2.7489E-01 3.0455E-01 1.1333E-02 1.9536E-01 0.3821 0.7107 0.6043 5.8008E-02 9 14.71 20.00 1.4782E-02 1.3622E-01 1.5100E-01 5.6171E-03 9.5768E-02 0.3800 0.7031 0.5970 5.8653E-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 0.05596 0.08271 0.08039 0.07328 0.11334 0.11533 0.10403 5.000 5.010 5.005 0.10776 0.11663 0.11580 0.11526 0.13024 0.13109 0.12668 10.000 10.010 10.005 0.12791 0.13160 0.13124 0.13113 0.13783 0.13823 0.13631 15.000 15.010 15.005 0.13688 0.13853 0.13837 0.13841 0.14155 0.14174 0.14093 20.000 20.010 20.005 0.14118 0.14192 0.14185 0.14194 0.14342 0.14351 0.14321 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 545.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.08392E-01 8.55397E-03 8.01634E-03 1.65703E-02 5.96526E-03 0.073957 9 1 10.0 0.0 180.0 6.68824E-02 8.67221E-03 2.39731E-03 1.10695E-02 6.04771E-03 0.035844 9 4 10.0 45.0 135.0 7.34857E-02 8.64352E-03 2.77967E-03 1.14232E-02 6.02771E-03 0.037826 9 7 10.0 90.0 90.0 9.92853E-02 8.64910E-03 5.79088E-03 1.44400E-02 6.03159E-03 0.058326 8 1 20.0 0.0 180.0 5.25352E-02 8.77484E-03 1.28254E-03 1.00574E-02 6.11928E-03 0.024413 8 4 20.0 45.0 135.0 5.84859E-02 8.70012E-03 1.51070E-03 1.02108E-02 6.06718E-03 0.025830 8 7 20.0 90.0 90.0 8.60007E-02 8.73257E-03 3.40636E-03 1.21389E-02 6.08980E-03 0.039609 7 1 30.0 0.0 180.0 4.55509E-02 8.93694E-03 1.09651E-03 1.00335E-02 6.23233E-03 0.024072 7 4 30.0 45.0 135.0 5.05014E-02 8.94219E-03 1.23170E-03 1.01739E-02 6.23599E-03 0.024390 7 7 30.0 90.0 90.0 7.36446E-02 8.95408E-03 2.12621E-03 1.10803E-02 6.24428E-03 0.028871 6 1 40.0 0.0 180.0 4.32364E-02 9.09232E-03 1.21919E-03 1.03115E-02 6.34069E-03 0.028198 6 4 40.0 45.0 135.0 4.72767E-02 9.09361E-03 1.32229E-03 1.04159E-02 6.34158E-03 0.027969 6 7 40.0 90.0 90.0 6.63757E-02 9.15735E-03 1.91581E-03 1.10732E-02 6.38603E-03 0.028863 5 1 50.0 0.0 180.0 4.53319E-02 9.29564E-03 1.92591E-03 1.12215E-02 6.48247E-03 0.042485 5 4 50.0 45.0 135.0 4.83073E-02 9.25588E-03 2.00644E-03 1.12623E-02 6.45474E-03 0.041535 5 7 50.0 90.0 90.0 6.42124E-02 9.37830E-03 2.59395E-03 1.19722E-02 6.54012E-03 0.040396 4 1 60.0 0.0 180.0 5.38097E-02 9.24717E-03 4.48647E-03 1.37336E-02 6.44867E-03 0.083377 4 4 60.0 45.0 135.0 5.50275E-02 9.20372E-03 4.43031E-03 1.36340E-02 6.41837E-03 0.080511 4 7 60.0 90.0 90.0 6.79517E-02 9.48390E-03 5.17359E-03 1.46575E-02 6.61376E-03 0.076136 3 1 70.0 0.0 180.0 7.46614E-02 8.66119E-03 1.23928E-02 2.10540E-02 6.04003E-03 0.165987 3 4 70.0 45.0 135.0 7.25599E-02 8.72208E-03 1.19242E-02 2.06463E-02 6.08249E-03 0.164336 3 7 70.0 90.0 90.0 8.11203E-02 9.03348E-03 1.29670E-02 2.20005E-02 6.29965E-03 0.159849 2 1 80.0 0.0 180.0 1.26851E-01 7.47650E-03 3.08049E-02 3.82814E-02 5.21387E-03 0.242843 2 4 80.0 45.0 135.0 1.17461E-01 7.51722E-03 2.97947E-02 3.73119E-02 5.24226E-03 0.253655 2 7 80.0 90.0 90.0 1.16699E-01 7.82012E-03 3.12031E-02 3.90233E-02 5.45349E-03 0.267382 1 1 87.5 0.0 180.0 2.05094E-01 6.05824E-03 5.43287E-02 6.03869E-02 4.22481E-03 0.264896 1 4 87.5 45.0 135.0 1.84662E-01 5.80310E-03 5.39932E-02 5.97963E-02 4.04689E-03 0.292389 1 7 87.5 90.0 90.0 1.68002E-01 6.70430E-03 5.52585E-02 6.19628E-02 4.67536E-03 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 545.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.657E-02 1.084E-01 1.327E-01 1.150E-01 1.716E-01 1.156E-02 4.633E+00 8.554E-03 5.965E-03 1 0.00 0.00 1.586E-02 2.019E-01 3.070E-02 3.674E-02 5.119E-02 1.113E-02 4.258E+00 3 3.68 5.00 8.834E-03 3.876E-01 2.204E-02 2.909E-02 4.655E-02 1.147E-02 4.694E+00 5 7.35 10.00 4.565E-03 2.572E-01 1.349E-02 1.751E-02 2.617E-02 1.161E-02 4.881E+00 7 11.03 15.00 2.279E-03 1.365E-01 7.578E-03 9.464E-03 1.300E-02 1.167E-02 4.972E+00 9 14.71 20.00 1.120E-03 6.751E-02 4.059E-03 4.857E-03 6.180E-03 1.169E-02 5.017E+00 Waveband 20 of 40 completed in 4.8 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 46.5 m at 555.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 550.0 nm to 560.0 nm: Ed(diffuse) = 3.946E-01 Ed(direct) = 1.031E+00 Ed(total) = 1.425E+00 Absorption Coefficients of Individual Components at 555.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0596 0.0192 0.0024 0.0078 0.0890 3 3.639 5.000 0.0596 0.0192 0.0024 0.0078 0.0890 5 7.278 10.000 0.0596 0.0192 0.0024 0.0078 0.0890 7 10.917 15.000 0.0596 0.0192 0.0024 0.0078 0.0890 9 14.556 20.000 0.0596 0.0192 0.0024 0.0078 0.0890 Scattering Coefficients of Individual Components at 555.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0018 0.4840 0.0000 0.1530 0.6388 3 3.639 5.000 0.0018 0.4840 0.0000 0.1530 0.6388 5 7.278 10.000 0.0018 0.4840 0.0000 0.1530 0.6388 7 10.917 15.000 0.0018 0.4840 0.0000 0.1530 0.6388 9 14.556 20.000 0.0018 0.4840 0.0000 0.1530 0.6388 Backscattering Coefficients of Individual Components at 555.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00092 0.00484 0.00000 0.00459 0.01035 3 3.639 5.000 0.00092 0.00484 0.00000 0.00459 0.01035 5 7.278 10.000 0.00092 0.00484 0.00000 0.00459 0.01035 7 10.917 15.000 0.00092 0.00484 0.00000 0.00459 0.01035 9 14.556 20.000 0.00092 0.00484 0.00000 0.00459 0.01035 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 0.0890 0.6388 0.7278 0.8777 0.01035 0.01620 3 3.639 5.000 0.0890 0.6388 0.7278 0.8777 0.01035 0.01620 5 7.278 10.000 0.0890 0.6388 0.7278 0.8777 0.01035 0.01620 7 10.917 15.000 0.0890 0.6388 0.7278 0.8777 0.01035 0.01620 9 14.556 20.000 0.0890 0.6388 0.7278 0.8777 0.01035 0.01620 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4885E-01 8 20.00 8.2437E-01 7 30.00 6.5911E-01 6 40.00 4.9145E-01 5 50.00 3.4737E-01 4 60.00 2.3715E-01 3 70.00 1.5950E-01 2 80.00 1.0807E-01 1 87.50 8.1195E-02 1 92.50 6.6299E-02 2 100.00 5.1378E-02 3 110.00 3.8175E-02 4 120.00 2.9556E-02 5 130.00 2.4003E-02 6 140.00 2.0431E-02 7 150.00 1.8157E-02 8 160.00 1.6767E-02 9 170.00 1.6017E-02 10 180.00 1.5754E-02 Asymptotic AOP values are MUu(inf) = 0.3762 MUd(inf) = 0.6995 MU(inf) = 0.5987 R(inf) = 0.0556 Lu(inf)/Ed(inf) = 0.010924 (1/sr) k(inf) = 0.1487 (1/m) absorp(check) = 0.0890 = 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 1.8791E-01 1.9877E+00 2.1756E+00 7.4443E-02 1.4251E+00 0.3962 0.7169 0.6208 5.2238E-02 1 0.00 0.00 1.4944E-01 1.6528E+00 1.8022E+00 6.3348E-02 1.4140E+00 0.4239 0.8555 0.7494 4.4802E-02 3 3.64 5.00 9.6972E-02 9.8387E-01 1.0808E+00 3.8300E-02 7.5260E-01 0.3950 0.7649 0.6609 5.0890E-02 5 7.28 10.00 5.2595E-02 5.1776E-01 5.7036E-01 2.0264E-02 3.7822E-01 0.3853 0.7305 0.6276 5.3577E-02 7 10.92 15.00 2.6644E-02 2.5885E-01 2.8549E-01 1.0151E-02 1.8501E-01 0.3810 0.7148 0.6125 5.4867E-02 9 14.56 20.00 1.3077E-02 1.2627E-01 1.3935E-01 4.9551E-03 8.9295E-02 0.3789 0.7072 0.6052 5.5492E-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 0.05697 0.08521 0.08287 0.07571 0.11640 0.11831 0.10695 5.000 5.010 5.005 0.11091 0.12001 0.11920 0.11837 0.13338 0.13418 0.12973 10.000 10.010 10.005 0.13100 0.13481 0.13446 0.13419 0.14094 0.14132 0.13934 15.000 15.010 15.005 0.13995 0.14168 0.14152 0.14147 0.14466 0.14485 0.14397 20.000 20.010 20.005 0.14425 0.14505 0.14497 0.14500 0.14653 0.14662 0.14627 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 555.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.06473E-01 8.00219E-03 7.95844E-03 1.59606E-02 5.61527E-03 0.074746 9 1 10.0 0.0 180.0 6.56983E-02 8.11561E-03 2.36614E-03 1.04818E-02 5.69486E-03 0.036015 9 4 10.0 45.0 135.0 7.21847E-02 8.08770E-03 2.74497E-03 1.08327E-02 5.67527E-03 0.038027 9 7 10.0 90.0 90.0 9.75275E-02 8.09054E-03 5.74034E-03 1.38309E-02 5.67726E-03 0.058859 8 1 20.0 0.0 180.0 5.16051E-02 8.21270E-03 1.26040E-03 9.47310E-03 5.76298E-03 0.024424 8 4 20.0 45.0 135.0 5.74504E-02 8.14097E-03 1.48543E-03 9.62639E-03 5.71265E-03 0.025856 8 7 20.0 90.0 90.0 8.44780E-02 8.16757E-03 3.36583E-03 1.15334E-02 5.73132E-03 0.039843 7 1 30.0 0.0 180.0 4.47444E-02 8.36499E-03 1.07710E-03 9.44209E-03 5.86985E-03 0.024072 7 4 30.0 45.0 135.0 4.96077E-02 8.36740E-03 1.20997E-03 9.57737E-03 5.87154E-03 0.024391 7 7 30.0 90.0 90.0 7.23380E-02 8.37360E-03 2.09245E-03 1.04661E-02 5.87589E-03 0.028926 6 1 40.0 0.0 180.0 4.24709E-02 8.51045E-03 1.19760E-03 9.70805E-03 5.97192E-03 0.028198 6 4 40.0 45.0 135.0 4.64396E-02 8.50847E-03 1.29888E-03 9.80734E-03 5.97053E-03 0.027969 6 7 40.0 90.0 90.0 6.52005E-02 8.56240E-03 1.88214E-03 1.04445E-02 6.00837E-03 0.028867 5 1 50.0 0.0 180.0 4.45293E-02 8.70069E-03 1.89181E-03 1.05925E-02 6.10542E-03 0.042485 5 4 50.0 45.0 135.0 4.74520E-02 8.66002E-03 1.97092E-03 1.06309E-02 6.07688E-03 0.041535 5 7 50.0 90.0 90.0 6.30755E-02 8.76910E-03 2.54802E-03 1.13171E-02 6.15342E-03 0.040396 4 1 60.0 0.0 180.0 5.28570E-02 8.65544E-03 4.40703E-03 1.30625E-02 6.07366E-03 0.083377 4 4 60.0 45.0 135.0 5.40532E-02 8.61127E-03 4.35187E-03 1.29631E-02 6.04267E-03 0.080511 4 7 60.0 90.0 90.0 6.67486E-02 8.86871E-03 5.08199E-03 1.39507E-02 6.22332E-03 0.076136 3 1 70.0 0.0 180.0 7.33395E-02 8.10775E-03 1.21734E-02 2.02812E-02 5.68934E-03 0.165987 3 4 70.0 45.0 135.0 7.12752E-02 8.16170E-03 1.17131E-02 1.98748E-02 5.72720E-03 0.164336 3 7 70.0 90.0 90.0 7.96840E-02 8.45031E-03 1.27374E-02 2.11877E-02 5.92972E-03 0.159849 2 1 80.0 0.0 180.0 1.24605E-01 6.99982E-03 3.02595E-02 3.72593E-02 4.91189E-03 0.242843 2 4 80.0 45.0 135.0 1.15382E-01 7.03565E-03 2.92672E-02 3.63028E-02 4.93703E-03 0.253655 2 7 80.0 90.0 90.0 1.14633E-01 7.31825E-03 3.06507E-02 3.79689E-02 5.13533E-03 0.267382 1 1 87.5 0.0 180.0 2.01463E-01 5.67342E-03 5.33668E-02 5.90402E-02 3.98113E-03 0.264896 1 4 87.5 45.0 135.0 1.81393E-01 5.43307E-03 5.30373E-02 5.84703E-02 3.81247E-03 0.292389 1 7 87.5 90.0 90.0 1.65027E-01 6.27771E-03 5.42802E-02 6.05579E-02 4.40517E-03 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 555.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.596E-02 1.065E-01 1.303E-01 1.128E-01 1.684E-01 1.120E-02 4.664E+00 8.002E-03 5.615E-03 1 0.00 0.00 1.484E-02 1.984E-01 2.889E-02 3.467E-02 4.860E-02 1.050E-02 4.269E+00 3 3.64 5.00 8.140E-03 3.771E-01 2.050E-02 2.717E-02 4.375E-02 1.082E-02 4.705E+00 5 7.28 10.00 4.143E-03 2.483E-01 1.234E-02 1.609E-02 2.421E-02 1.095E-02 4.892E+00 7 10.92 15.00 2.038E-03 1.305E-01 6.827E-03 8.562E-03 1.185E-02 1.101E-02 4.982E+00 9 14.56 20.00 9.856E-04 6.378E-02 3.602E-03 4.328E-03 5.542E-03 1.104E-02 5.027E+00 Waveband 21 of 40 completed in 4.8 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 46.5 m at 565.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 560.0 nm to 570.0 nm: Ed(diffuse) = 3.870E-01 Ed(direct) = 1.026E+00 Ed(total) = 1.413E+00 Absorption Coefficients of Individual Components at 565.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0642 0.0162 0.0021 0.0066 0.0891 3 3.588 5.000 0.0642 0.0162 0.0021 0.0066 0.0891 5 7.175 10.000 0.0642 0.0162 0.0021 0.0066 0.0891 7 10.763 15.000 0.0642 0.0162 0.0021 0.0066 0.0891 9 14.351 20.000 0.0642 0.0162 0.0021 0.0066 0.0891 Scattering Coefficients of Individual Components at 565.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0017 0.4754 0.0000 0.1513 0.6285 3 3.588 5.000 0.0017 0.4754 0.0000 0.1513 0.6285 5 7.175 10.000 0.0017 0.4754 0.0000 0.1513 0.6285 7 10.763 15.000 0.0017 0.4754 0.0000 0.1513 0.6285 9 14.351 20.000 0.0017 0.4754 0.0000 0.1513 0.6285 Backscattering Coefficients of Individual Components at 565.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00085 0.00475 0.00000 0.00454 0.01015 3 3.588 5.000 0.00085 0.00475 0.00000 0.00454 0.01015 5 7.175 10.000 0.00085 0.00475 0.00000 0.00454 0.01015 7 10.763 15.000 0.00085 0.00475 0.00000 0.00454 0.01015 9 14.351 20.000 0.00085 0.00475 0.00000 0.00454 0.01015 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 0.0891 0.6285 0.7175 0.8759 0.01015 0.01614 3 3.588 5.000 0.0891 0.6285 0.7175 0.8759 0.01015 0.01614 5 7.175 10.000 0.0891 0.6285 0.7175 0.8759 0.01015 0.01614 7 10.763 15.000 0.0891 0.6285 0.7175 0.8759 0.01015 0.01614 9 14.351 20.000 0.0891 0.6285 0.7175 0.8759 0.01015 0.01614 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4836E-01 8 20.00 8.2284E-01 7 30.00 6.5651E-01 6 40.00 4.8823E-01 5 50.00 3.4407E-01 4 60.00 2.3417E-01 3 70.00 1.5703E-01 2 80.00 1.0611E-01 1 87.50 7.9573E-02 1 92.50 6.4901E-02 2 100.00 5.0224E-02 3 110.00 3.7259E-02 4 120.00 2.8813E-02 5 130.00 2.3380E-02 6 140.00 1.9890E-02 7 150.00 1.7672E-02 8 160.00 1.6316E-02 9 170.00 1.5585E-02 10 180.00 1.5328E-02 Asymptotic AOP values are MUu(inf) = 0.3757 MUd(inf) = 0.7009 MU(inf) = 0.6015 R(inf) = 0.0545 Lu(inf)/Ed(inf) = 0.010689 (1/sr) k(inf) = 0.1481 (1/m) absorp(check) = 0.0891 = 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 1.8418E-01 1.9675E+00 2.1517E+00 7.3067E-02 1.4132E+00 0.3967 0.7183 0.6228 5.1703E-02 1 0.00 0.00 1.4522E-01 1.6364E+00 1.7816E+00 6.1487E-02 1.4016E+00 0.4234 0.8565 0.7522 4.3868E-02 3 3.59 5.00 9.4401E-02 9.7509E-01 1.0695E+00 3.7249E-02 7.4765E-01 0.3946 0.7667 0.6642 4.9821E-02 5 7.18 10.00 5.1375E-02 5.1459E-01 5.6596E-01 1.9775E-02 3.7685E-01 0.3849 0.7323 0.6309 5.2473E-02 7 10.76 15.00 2.6122E-02 2.5810E-01 2.8422E-01 9.9416E-03 1.8492E-01 0.3806 0.7165 0.6156 5.3762E-02 9 14.35 20.00 1.2867E-02 1.2632E-01 1.3919E-01 4.8700E-03 8.9529E-02 0.3785 0.7087 0.6082 5.4396E-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 0.05662 0.08506 0.08274 0.07553 0.11613 0.11799 0.10665 5.000 5.010 5.005 0.11032 0.11956 0.11874 0.11777 0.13283 0.13362 0.12911 10.000 10.010 10.005 0.13026 0.13418 0.13382 0.13347 0.14032 0.14070 0.13865 15.000 15.010 15.005 0.13921 0.14102 0.14085 0.14075 0.14403 0.14422 0.14328 20.000 20.010 20.005 0.14354 0.14440 0.14432 0.14431 0.14591 0.14600 0.14559 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 565.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.04429E-01 7.75596E-03 7.88459E-03 1.56405E-02 5.48815E-03 0.075502 9 1 10.0 0.0 180.0 6.44370E-02 7.86606E-03 2.33131E-03 1.01974E-02 5.56606E-03 0.036180 9 4 10.0 45.0 135.0 7.07988E-02 7.83891E-03 2.70590E-03 1.05448E-02 5.54685E-03 0.038220 9 7 10.0 90.0 90.0 9.56551E-02 7.84153E-03 5.67898E-03 1.35205E-02 5.54870E-03 0.059369 8 1 20.0 0.0 180.0 5.06144E-02 7.96023E-03 1.23674E-03 9.19697E-03 5.63269E-03 0.024435 8 4 20.0 45.0 135.0 5.63474E-02 7.89052E-03 1.45830E-03 9.34882E-03 5.58337E-03 0.025880 8 7 20.0 90.0 90.0 8.28562E-02 7.91618E-03 3.31978E-03 1.12360E-02 5.60152E-03 0.040067 7 1 30.0 0.0 180.0 4.38854E-02 8.10787E-03 1.05642E-03 9.16429E-03 5.73717E-03 0.024072 7 4 30.0 45.0 135.0 4.86557E-02 8.10997E-03 1.18680E-03 9.29677E-03 5.73865E-03 0.024392 7 7 30.0 90.0 90.0 7.09468E-02 8.11593E-03 2.05593E-03 1.01719E-02 5.74287E-03 0.028978 6 1 40.0 0.0 180.0 4.16555E-02 8.24885E-03 1.17461E-03 9.42346E-03 5.83693E-03 0.028198 6 4 40.0 45.0 135.0 4.55481E-02 8.24667E-03 1.27394E-03 9.52061E-03 5.83538E-03 0.027969 6 7 40.0 90.0 90.0 6.39488E-02 8.29925E-03 1.84625E-03 1.01455E-02 5.87258E-03 0.028871 5 1 50.0 0.0 180.0 4.36744E-02 8.43332E-03 1.85549E-03 1.02888E-02 5.96745E-03 0.042485 5 4 50.0 45.0 135.0 4.65410E-02 8.39372E-03 1.93308E-03 1.03268E-02 5.93943E-03 0.041535 5 7 50.0 90.0 90.0 6.18645E-02 8.50039E-03 2.49910E-03 1.09995E-02 6.01491E-03 0.040396 4 1 60.0 0.0 180.0 5.18422E-02 8.38960E-03 4.32243E-03 1.27120E-02 5.93652E-03 0.083377 4 4 60.0 45.0 135.0 5.30155E-02 8.34675E-03 4.26832E-03 1.26151E-02 5.90620E-03 0.080511 4 7 60.0 90.0 90.0 6.54672E-02 8.59798E-03 4.98443E-03 1.35824E-02 6.08397E-03 0.076136 3 1 70.0 0.0 180.0 7.19315E-02 7.85913E-03 1.19397E-02 1.97988E-02 5.56116E-03 0.165987 3 4 70.0 45.0 135.0 6.99069E-02 7.91163E-03 1.14882E-02 1.93998E-02 5.59830E-03 0.164336 3 7 70.0 90.0 90.0 7.81542E-02 8.19403E-03 1.24929E-02 2.06869E-02 5.79813E-03 0.159849 2 1 80.0 0.0 180.0 1.22213E-01 6.78562E-03 2.96785E-02 3.64641E-02 4.80154E-03 0.242843 2 4 80.0 45.0 135.0 1.13166E-01 6.82076E-03 2.87053E-02 3.55260E-02 4.82640E-03 0.253655 2 7 80.0 90.0 90.0 1.12432E-01 7.09784E-03 3.00622E-02 3.71601E-02 5.02247E-03 0.267382 1 1 87.5 0.0 180.0 1.97595E-01 5.50036E-03 5.23422E-02 5.78426E-02 3.89208E-03 0.264896 1 4 87.5 45.0 135.0 1.77910E-01 5.26783E-03 5.20190E-02 5.72869E-02 3.72754E-03 0.292389 1 7 87.5 90.0 90.0 1.61859E-01 6.09029E-03 5.32381E-02 5.93284E-02 4.30951E-03 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 565.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.564E-02 1.044E-01 1.277E-01 1.106E-01 1.652E-01 1.107E-02 4.672E+00 7.756E-03 5.488E-03 1 0.00 0.00 1.438E-02 1.945E-01 2.805E-02 3.372E-02 4.743E-02 1.026E-02 4.275E+00 3 3.59 5.00 7.909E-03 3.720E-01 1.994E-02 2.649E-02 4.281E-02 1.058E-02 4.710E+00 5 7.18 10.00 4.038E-03 2.470E-01 1.204E-02 1.573E-02 2.379E-02 1.072E-02 4.897E+00 7 10.76 15.00 1.993E-03 1.307E-01 6.680E-03 8.407E-03 1.170E-02 1.078E-02 4.988E+00 9 14.35 20.00 9.675E-04 6.421E-02 3.537E-03 4.266E-03 5.495E-03 1.081E-02 5.034E+00 Waveband 22 of 40 completed in 4.7 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 46.5 m at 575.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 570.0 nm to 580.0 nm: Ed(diffuse) = 3.835E-01 Ed(direct) = 1.031E+00 Ed(total) = 1.415E+00 Absorption Coefficients of Individual Components at 575.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0772 0.0156 0.0018 0.0063 0.1009 3 3.593 5.000 0.0772 0.0156 0.0018 0.0063 0.1009 5 7.185 10.000 0.0772 0.0156 0.0018 0.0063 0.1009 7 10.778 15.000 0.0772 0.0156 0.0018 0.0063 0.1009 9 14.371 20.000 0.0772 0.0156 0.0018 0.0063 0.1009 Scattering Coefficients of Individual Components at 575.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0016 0.4672 0.0000 0.1488 0.6176 3 3.593 5.000 0.0016 0.4672 0.0000 0.1488 0.6176 5 7.185 10.000 0.0016 0.4672 0.0000 0.1488 0.6176 7 10.778 15.000 0.0016 0.4672 0.0000 0.1488 0.6176 9 14.371 20.000 0.0016 0.4672 0.0000 0.1488 0.6176 Backscattering Coefficients of Individual Components at 575.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00079 0.00467 0.00000 0.00447 0.00993 3 3.593 5.000 0.00079 0.00467 0.00000 0.00447 0.00993 5 7.185 10.000 0.00079 0.00467 0.00000 0.00447 0.00993 7 10.778 15.000 0.00079 0.00467 0.00000 0.00447 0.00993 9 14.371 20.000 0.00079 0.00467 0.00000 0.00447 0.00993 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 0.1009 0.6176 0.7185 0.8595 0.00993 0.01607 3 3.593 5.000 0.1009 0.6176 0.7185 0.8595 0.00993 0.01607 5 7.185 10.000 0.1009 0.6176 0.7185 0.8595 0.00993 0.01607 7 10.778 15.000 0.1009 0.6176 0.7185 0.8595 0.00993 0.01607 9 14.371 20.000 0.1009 0.6176 0.7185 0.8595 0.00993 0.01607 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4392E-01 8 20.00 8.0885E-01 7 30.00 6.3307E-01 6 40.00 4.5961E-01 5 50.00 3.1537E-01 4 60.00 2.0890E-01 3 70.00 1.3655E-01 2 80.00 9.0227E-02 1 87.50 6.6709E-02 1 92.50 5.3961E-02 2 100.00 4.1357E-02 3 110.00 3.0390E-02 4 120.00 2.3365E-02 5 130.00 1.8909E-02 6 140.00 1.6078E-02 7 150.00 1.4296E-02 8 160.00 1.3216E-02 9 170.00 1.2636E-02 10 180.00 1.2433E-02 Asymptotic AOP values are MUu(inf) = 0.3732 MUd(inf) = 0.7128 MU(inf) = 0.6241 R(inf) = 0.0466 Lu(inf)/Ed(inf) = 0.009115 (1/sr) k(inf) = 0.1618 (1/m) absorp(check) = 0.1010 = 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 1.7590E-01 1.9664E+00 2.1423E+00 6.9101E-02 1.4148E+00 0.3928 0.7195 0.6282 4.8840E-02 1 0.00 0.00 1.2518E-01 1.6217E+00 1.7468E+00 5.2617E-02 1.3983E+00 0.4203 0.8623 0.7704 3.7628E-02 3 3.59 5.00 7.6266E-02 9.0023E-01 9.7650E-01 2.9843E-02 6.9728E-01 0.3913 0.7746 0.6835 4.2799E-02 5 7.19 10.00 3.8689E-02 4.4219E-01 4.8087E-01 1.4782E-02 3.2804E-01 0.3821 0.7419 0.6514 4.5061E-02 7 10.78 15.00 1.8348E-02 2.0666E-01 2.2501E-01 6.9364E-03 1.5023E-01 0.3780 0.7269 0.6368 4.6171E-02 9 14.37 20.00 8.4358E-03 9.4334E-02 1.0277E-01 3.1731E-03 6.7895E-02 0.3761 0.7197 0.6298 4.6735E-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 0.06325 0.09601 0.09367 0.08608 0.12899 0.13066 0.11907 5.000 5.010 5.005 0.12436 0.13402 0.13326 0.13160 0.14656 0.14723 0.14265 10.000 10.010 10.005 0.14428 0.14841 0.14808 0.14732 0.15414 0.15446 0.15224 15.000 15.010 15.005 0.15307 0.15505 0.15489 0.15449 0.15782 0.15798 0.15683 20.000 20.010 20.005 0.15726 0.15828 0.15819 0.15794 0.15965 0.15974 0.15908 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 575.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.03470E-01 6.61094E-03 7.88652E-03 1.44975E-02 4.67258E-03 0.076220 9 1 10.0 0.0 180.0 6.38454E-02 6.71363E-03 2.31989E-03 9.03351E-03 4.74516E-03 0.036336 9 4 10.0 45.0 135.0 7.01489E-02 6.68717E-03 2.69390E-03 9.38107E-03 4.72646E-03 0.038403 9 7 10.0 90.0 90.0 9.47770E-02 6.68179E-03 5.67282E-03 1.23546E-02 4.72265E-03 0.059854 8 1 20.0 0.0 180.0 5.01497E-02 6.79705E-03 1.22589E-03 8.02294E-03 4.80412E-03 0.024445 8 4 20.0 45.0 135.0 5.58301E-02 6.73202E-03 1.44622E-03 8.17824E-03 4.75816E-03 0.025904 8 7 20.0 90.0 90.0 8.20955E-02 6.74165E-03 3.30679E-03 1.00484E-02 4.76497E-03 0.040280 7 1 30.0 0.0 180.0 4.34825E-02 6.92460E-03 1.04672E-03 7.97132E-03 4.89427E-03 0.024072 7 4 30.0 45.0 135.0 4.82094E-02 6.91871E-03 1.17597E-03 8.09469E-03 4.89011E-03 0.024393 7 7 30.0 90.0 90.0 7.02931E-02 6.90731E-03 2.04050E-03 8.94780E-03 4.88205E-03 0.029028 6 1 40.0 0.0 180.0 4.12731E-02 7.04446E-03 1.16383E-03 8.20829E-03 4.97899E-03 0.028198 6 4 40.0 45.0 135.0 4.51299E-02 7.03268E-03 1.26225E-03 8.29493E-03 4.97066E-03 0.027969 6 7 40.0 90.0 90.0 6.33617E-02 7.05718E-03 1.82952E-03 8.88670E-03 4.98798E-03 0.028874 5 1 50.0 0.0 180.0 4.32735E-02 7.20081E-03 1.83845E-03 9.03926E-03 5.08949E-03 0.042485 5 4 50.0 45.0 135.0 4.61137E-02 7.15587E-03 1.91533E-03 9.07120E-03 5.05773E-03 0.041535 5 7 50.0 90.0 90.0 6.12966E-02 7.22524E-03 2.47616E-03 9.70140E-03 5.10676E-03 0.040396 4 1 60.0 0.0 180.0 5.13663E-02 7.16255E-03 4.28275E-03 1.14453E-02 5.06245E-03 0.083377 4 4 60.0 45.0 135.0 5.25288E-02 7.11424E-03 4.22913E-03 1.13434E-02 5.02831E-03 0.080511 4 7 60.0 90.0 90.0 6.48662E-02 7.30691E-03 4.93867E-03 1.22456E-02 5.16449E-03 0.076136 3 1 70.0 0.0 180.0 7.12711E-02 6.71011E-03 1.18301E-02 1.85402E-02 4.74267E-03 0.165987 3 4 70.0 45.0 135.0 6.92651E-02 6.74396E-03 1.13827E-02 1.81267E-02 4.76660E-03 0.164336 3 7 70.0 90.0 90.0 7.74367E-02 6.96672E-03 1.23782E-02 1.93449E-02 4.92404E-03 0.159849 2 1 80.0 0.0 180.0 1.21091E-01 5.79491E-03 2.94061E-02 3.52010E-02 4.09582E-03 0.242843 2 4 80.0 45.0 135.0 1.12128E-01 5.81586E-03 2.84418E-02 3.42576E-02 4.11062E-03 0.253655 2 7 80.0 90.0 90.0 1.11400E-01 6.03908E-03 2.97863E-02 3.58253E-02 4.26839E-03 0.267382 1 1 87.5 0.0 180.0 1.95781E-01 4.69984E-03 5.18617E-02 5.65615E-02 3.32182E-03 0.264896 1 4 87.5 45.0 135.0 1.76277E-01 4.49471E-03 5.15415E-02 5.60362E-02 3.17684E-03 0.292389 1 7 87.5 90.0 90.0 1.60373E-01 5.18841E-03 5.27493E-02 5.79377E-02 3.66714E-03 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 575.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.450E-02 1.035E-01 1.262E-01 1.092E-01 1.632E-01 1.025E-02 4.766E+00 6.611E-03 4.673E-03 1 0.00 0.00 1.226E-02 1.927E-01 2.428E-02 2.934E-02 4.182E-02 8.768E-03 4.292E+00 3 3.59 5.00 6.310E-03 3.478E-01 1.637E-02 2.191E-02 3.587E-02 9.050E-03 4.729E+00 5 7.19 10.00 3.010E-03 2.187E-01 9.196E-03 1.210E-02 1.850E-02 9.177E-03 4.910E+00 7 10.78 15.00 1.388E-03 1.093E-01 4.757E-03 6.022E-03 8.460E-03 9.241E-03 4.996E+00 9 14.37 20.00 6.299E-04 5.053E-02 2.351E-03 2.850E-03 3.702E-03 9.277E-03 5.038E+00 Waveband 23 of 40 completed in 4.7 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 45.7 m at 585.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 580.0 nm to 590.0 nm: Ed(diffuse) = 3.707E-01 Ed(direct) = 1.010E+00 Ed(total) = 1.381E+00 Absorption Coefficients of Individual Components at 585.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1100 0.0162 0.0016 0.0066 0.1344 3 3.705 5.000 0.1100 0.0162 0.0016 0.0066 0.1344 5 7.409 10.000 0.1100 0.0162 0.0016 0.0066 0.1344 7 11.114 15.000 0.1100 0.0162 0.0016 0.0066 0.1344 9 14.819 20.000 0.1100 0.0162 0.0016 0.0066 0.1344 Scattering Coefficients of Individual Components at 585.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0015 0.4592 0.0000 0.1459 0.6066 3 3.705 5.000 0.0015 0.4592 0.0000 0.1459 0.6066 5 7.409 10.000 0.0015 0.4592 0.0000 0.1459 0.6066 7 11.114 15.000 0.0015 0.4592 0.0000 0.1459 0.6066 9 14.819 20.000 0.0015 0.4592 0.0000 0.1459 0.6066 Backscattering Coefficients of Individual Components at 585.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00073 0.00459 0.00000 0.00438 0.00970 3 3.705 5.000 0.00073 0.00459 0.00000 0.00438 0.00970 5 7.409 10.000 0.00073 0.00459 0.00000 0.00438 0.00970 7 11.114 15.000 0.00073 0.00459 0.00000 0.00438 0.00970 9 14.819 20.000 0.00073 0.00459 0.00000 0.00438 0.00970 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 0.1344 0.6066 0.7409 0.8187 0.00970 0.01600 3 3.705 5.000 0.1344 0.6066 0.7409 0.8187 0.00970 0.01600 5 7.409 10.000 0.1344 0.6066 0.7409 0.8187 0.00970 0.01600 7 11.114 15.000 0.1344 0.6066 0.7409 0.8187 0.00970 0.01600 9 14.819 20.000 0.1344 0.6066 0.7409 0.8187 0.00970 0.01600 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3296E-01 8 20.00 7.7520E-01 7 30.00 5.7887E-01 6 40.00 3.9661E-01 5 50.00 2.5554E-01 4 60.00 1.5907E-01 3 70.00 9.8259E-02 2 80.00 6.1901E-02 1 87.50 4.4457E-02 1 92.50 3.5404E-02 2 100.00 2.6655E-02 3 110.00 1.9266E-02 4 120.00 1.4689E-02 5 130.00 1.1864E-02 6 140.00 1.0111E-02 7 150.00 9.0283E-03 8 160.00 8.3823E-03 9 170.00 8.0397E-03 10 180.00 7.9203E-03 Asymptotic AOP values are MUu(inf) = 0.3697 MUd(inf) = 0.7389 MU(inf) = 0.6702 R(inf) = 0.0331 Lu(inf)/Ed(inf) = 0.006514 (1/sr) k(inf) = 0.2005 (1/m) absorp(check) = 0.1344 = 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 1.5881E-01 1.9161E+00 2.0749E+00 6.1108E-02 1.3808E+00 0.3848 0.7207 0.6360 4.4255E-02 1 0.00 0.00 8.9118E-02 1.5556E+00 1.6447E+00 3.6929E-02 1.3566E+00 0.4144 0.8721 0.8024 2.7221E-02 3 3.70 5.00 4.4878E-02 7.0676E-01 7.5164E-01 1.7305E-02 5.5805E-01 0.3856 0.7896 0.7194 3.1009E-02 5 7.41 10.00 1.8628E-02 2.8331E-01 3.0193E-01 7.0378E-03 2.1567E-01 0.3778 0.7613 0.6910 3.2632E-02 7 11.11 15.00 7.2577E-03 1.0838E-01 1.1564E-01 2.7205E-03 8.1161E-02 0.3748 0.7489 0.6783 3.3520E-02 9 14.82 20.00 2.7527E-03 4.0599E-02 4.3351E-02 1.0292E-03 3.0166E-02 0.3739 0.7430 0.6721 3.4119E-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 0.08653 0.12936 0.12704 0.11782 0.16577 0.16711 0.15480 5.000 5.010 5.005 0.16470 0.17489 0.17428 0.17119 0.18576 0.18623 0.18111 10.000 10.010 10.005 0.18405 0.18876 0.18847 0.18649 0.19349 0.19373 0.19039 15.000 15.010 15.005 0.19196 0.19480 0.19462 0.19287 0.19700 0.19714 0.19428 20.000 20.010 20.005 0.19530 0.19754 0.19739 0.19548 0.19860 0.19871 0.19569 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 585.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.00019E-01 4.62401E-03 7.69050E-03 1.23145E-02 3.34877E-03 0.076891 9 1 10.0 0.0 180.0 6.17156E-02 4.70986E-03 2.25150E-03 6.96136E-03 3.41094E-03 0.036482 9 4 10.0 45.0 135.0 6.78088E-02 4.68605E-03 2.61562E-03 7.30167E-03 3.39370E-03 0.038573 9 7 10.0 90.0 90.0 9.16153E-02 4.66990E-03 5.52507E-03 1.01950E-02 3.38200E-03 0.060307 8 1 20.0 0.0 180.0 4.84768E-02 4.77274E-03 1.18545E-03 5.95819E-03 3.45648E-03 0.024454 8 4 20.0 45.0 135.0 5.39677E-02 4.71828E-03 1.39915E-03 6.11743E-03 3.41704E-03 0.025926 8 7 20.0 90.0 90.0 7.93569E-02 4.70495E-03 3.21226E-03 7.91721E-03 3.40739E-03 0.040479 7 1 30.0 0.0 180.0 4.20320E-02 4.86392E-03 1.01180E-03 5.87572E-03 3.52251E-03 0.024072 7 4 30.0 45.0 135.0 4.66016E-02 4.84748E-03 1.13680E-03 5.98428E-03 3.51061E-03 0.024394 7 7 30.0 90.0 90.0 6.79461E-02 4.81219E-03 1.97553E-03 6.78772E-03 3.48505E-03 0.029075 6 1 40.0 0.0 180.0 3.98963E-02 4.94574E-03 1.12500E-03 6.07074E-03 3.58177E-03 0.028198 6 4 40.0 45.0 135.0 4.36245E-02 4.92146E-03 1.22014E-03 6.14160E-03 3.56419E-03 0.027969 6 7 40.0 90.0 90.0 6.12481E-02 4.90416E-03 1.76869E-03 6.67286E-03 3.55166E-03 0.028878 5 1 50.0 0.0 180.0 4.18299E-02 5.05167E-03 1.77713E-03 6.82880E-03 3.65849E-03 0.042485 5 4 50.0 45.0 135.0 4.45754E-02 5.00192E-03 1.85144E-03 6.85336E-03 3.62246E-03 0.041535 5 7 50.0 90.0 90.0 5.92518E-02 5.01273E-03 2.39356E-03 7.40629E-03 3.63029E-03 0.040396 4 1 60.0 0.0 180.0 4.96528E-02 5.02115E-03 4.13988E-03 9.16103E-03 3.63638E-03 0.083377 4 4 60.0 45.0 135.0 5.07765E-02 4.96779E-03 4.08806E-03 9.05585E-03 3.59774E-03 0.080511 4 7 60.0 90.0 90.0 6.27023E-02 5.06343E-03 4.77392E-03 9.83735E-03 3.66700E-03 0.076136 3 1 70.0 0.0 180.0 6.88936E-02 4.70186E-03 1.14355E-02 1.61373E-02 3.40515E-03 0.165987 3 4 70.0 45.0 135.0 6.69545E-02 4.70690E-03 1.10030E-02 1.57099E-02 3.40880E-03 0.164336 3 7 70.0 90.0 90.0 7.48536E-02 4.82760E-03 1.19653E-02 1.67929E-02 3.49621E-03 0.159849 2 1 80.0 0.0 180.0 1.17051E-01 4.06031E-03 2.84251E-02 3.24854E-02 2.94053E-03 0.242843 2 4 80.0 45.0 135.0 1.08387E-01 4.05913E-03 2.74930E-02 3.15521E-02 2.93967E-03 0.253655 2 7 80.0 90.0 90.0 1.07684E-01 4.18763E-03 2.87926E-02 3.29803E-02 3.03274E-03 0.267382 1 1 87.5 0.0 180.0 1.89250E-01 3.29494E-03 5.01317E-02 5.34266E-02 2.38624E-03 0.264896 1 4 87.5 45.0 135.0 1.70397E-01 3.13951E-03 4.98221E-02 5.29616E-02 2.27367E-03 0.292389 1 7 87.5 90.0 90.0 1.55023E-01 3.60452E-03 5.09897E-02 5.45942E-02 2.61044E-03 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 585.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.231E-02 1.000E-01 1.213E-01 1.048E-01 1.569E-01 8.918E-03 4.962E+00 4.624E-03 3.349E-03 1 0.00 0.00 8.577E-03 1.862E-01 1.750E-02 2.131E-02 3.112E-02 6.322E-03 4.306E+00 3 3.70 5.00 3.654E-03 2.832E-01 9.971E-03 1.350E-02 2.257E-02 6.548E-03 4.736E+00 5 7.41 10.00 1.439E-03 1.504E-01 4.564E-03 6.054E-03 9.393E-03 6.672E-03 4.891E+00 7 11.11 15.00 5.494E-04 6.320E-02 1.935E-03 2.462E-03 3.494E-03 6.769E-03 4.952E+00 9 14.82 20.00 2.071E-04 2.442E-02 7.872E-04 9.573E-04 1.251E-03 6.864E-03 4.971E+00 Waveband 24 of 40 completed in 5.0 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 44.3 m at 595.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 590.0 nm to 600.0 nm: Ed(diffuse) = 3.536E-01 Ed(direct) = 9.762E-01 Ed(total) = 1.330E+00 Absorption Coefficients of Individual Components at 595.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1672 0.0144 0.0014 0.0058 0.1888 3 3.929 5.000 0.1672 0.0144 0.0014 0.0058 0.1888 5 7.858 10.000 0.1672 0.0144 0.0014 0.0058 0.1888 7 11.786 15.000 0.1672 0.0144 0.0014 0.0058 0.1888 9 15.715 20.000 0.1672 0.0144 0.0014 0.0058 0.1888 Scattering Coefficients of Individual Components at 595.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0014 0.4515 0.0000 0.1441 0.5969 3 3.929 5.000 0.0014 0.4515 0.0000 0.1441 0.5969 5 7.858 10.000 0.0014 0.4515 0.0000 0.1441 0.5969 7 11.786 15.000 0.0014 0.4515 0.0000 0.1441 0.5969 9 15.715 20.000 0.0014 0.4515 0.0000 0.1441 0.5969 Backscattering Coefficients of Individual Components at 595.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00068 0.00451 0.00000 0.00432 0.00952 3 3.929 5.000 0.00068 0.00451 0.00000 0.00432 0.00952 5 7.858 10.000 0.00068 0.00451 0.00000 0.00432 0.00952 7 11.786 15.000 0.00068 0.00451 0.00000 0.00432 0.00952 9 15.715 20.000 0.00068 0.00451 0.00000 0.00432 0.00952 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 0.1888 0.5969 0.7858 0.7597 0.00952 0.01595 3 3.929 5.000 0.1888 0.5969 0.7858 0.7597 0.00952 0.01595 5 7.858 10.000 0.1888 0.5969 0.7858 0.7597 0.00952 0.01595 7 11.786 15.000 0.1888 0.5969 0.7858 0.7597 0.00952 0.01595 9 15.715 20.000 0.1888 0.5969 0.7858 0.7597 0.00952 0.01595 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.1706E-01 8 20.00 7.2847E-01 7 30.00 5.0856E-01 6 40.00 3.2144E-01 5 50.00 1.9036E-01 4 60.00 1.0948E-01 3 70.00 6.3190E-02 2 80.00 3.7741E-02 1 87.50 2.6304E-02 1 92.50 2.0657E-02 2 100.00 1.5313E-02 3 110.00 1.0930E-02 4 120.00 8.3046E-03 5 130.00 6.7281E-03 6 140.00 5.7724E-03 7 150.00 5.1948E-03 8 160.00 4.8567E-03 9 170.00 4.6800E-03 10 180.00 4.6187E-03 Asymptotic AOP values are MUu(inf) = 0.3684 MUd(inf) = 0.7702 MU(inf) = 0.7203 R(inf) = 0.0219 Lu(inf)/Ed(inf) = 0.004410 (1/sr) k(inf) = 0.2621 (1/m) absorp(check) = 0.1888 = 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 1.4286E-01 1.8424E+00 1.9853E+00 5.3944E-02 1.3298E+00 0.3776 0.7218 0.6426 4.0566E-02 1 0.00 0.00 5.9376E-02 1.4764E+00 1.5358E+00 2.4246E-02 1.3001E+00 0.4084 0.8806 0.8307 1.8650E-02 3 3.93 5.00 2.1800E-02 4.8534E-01 5.0714E-01 8.3182E-03 3.9138E-01 0.3816 0.8064 0.7553 2.1253E-02 5 7.86 10.00 6.6049E-03 1.4071E-01 1.4732E-01 2.4881E-03 1.1029E-01 0.3767 0.7838 0.7318 2.2560E-02 7 11.79 15.00 1.9136E-03 3.9169E-02 4.1082E-02 7.2153E-04 3.0329E-02 0.3771 0.7743 0.7207 2.3790E-02 9 15.72 20.00 5.5392E-04 1.0744E-02 1.1298E-02 2.1089E-04 8.2690E-03 0.3807 0.7697 0.7133 2.5504E-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 0.13178 0.18708 0.18494 0.17268 0.22598 0.22699 0.21345 5.000 5.010 5.005 0.22917 0.24021 0.23973 0.23411 0.24896 0.24929 0.24158 10.000 10.010 10.005 0.24539 0.25297 0.25263 0.24627 0.25651 0.25675 0.24741 15.000 15.010 15.005 0.24895 0.25778 0.25737 0.24784 0.25940 0.25968 0.24558 20.000 20.010 20.005 0.24615 0.25926 0.25861 0.24343 0.26019 0.26063 0.23851 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 595.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 9.54262E-02 3.03989E-03 7.40045E-03 1.04403E-02 2.28599E-03 0.077552 9 1 10.0 0.0 180.0 5.88819E-02 3.10649E-03 2.15659E-03 5.26308E-03 2.33607E-03 0.036626 9 4 10.0 45.0 135.0 6.46953E-02 3.08695E-03 2.50641E-03 5.59337E-03 2.32138E-03 0.038742 9 7 10.0 90.0 90.0 8.74087E-02 3.06715E-03 5.31041E-03 8.37756E-03 2.30649E-03 0.060754 8 1 20.0 0.0 180.0 4.62509E-02 3.15077E-03 1.13145E-03 4.28222E-03 2.36937E-03 0.024463 8 4 20.0 45.0 135.0 5.14897E-02 3.10838E-03 1.33602E-03 4.44439E-03 2.33749E-03 0.025947 8 7 20.0 90.0 90.0 7.57132E-02 3.08463E-03 3.07961E-03 6.16424E-03 2.31963E-03 0.040675 7 1 30.0 0.0 180.0 4.01020E-02 3.21158E-03 9.65346E-04 4.17693E-03 2.41510E-03 0.024072 7 4 30.0 45.0 135.0 4.44621E-02 3.19170E-03 1.08466E-03 4.27635E-03 2.40015E-03 0.024395 7 7 30.0 90.0 90.0 6.48243E-02 3.14795E-03 1.88774E-03 5.03569E-03 2.36725E-03 0.029121 6 1 40.0 0.0 180.0 3.80644E-02 3.26273E-03 1.07335E-03 4.33608E-03 2.45357E-03 0.028198 6 4 40.0 45.0 135.0 4.16214E-02 3.23486E-03 1.16411E-03 4.39897E-03 2.43261E-03 0.027969 6 7 40.0 90.0 90.0 5.84358E-02 3.19719E-03 1.68767E-03 4.88487E-03 2.40428E-03 0.028881 5 1 50.0 0.0 180.0 3.99093E-02 3.32830E-03 1.69553E-03 5.02383E-03 2.50288E-03 0.042485 5 4 50.0 45.0 135.0 4.25287E-02 3.28188E-03 1.76643E-03 5.04831E-03 2.46797E-03 0.041535 5 7 50.0 90.0 90.0 5.65312E-02 3.25960E-03 2.28366E-03 5.54326E-03 2.45121E-03 0.040396 4 1 60.0 0.0 180.0 4.73729E-02 3.30378E-03 3.94979E-03 7.25358E-03 2.48444E-03 0.083377 4 4 60.0 45.0 135.0 4.84450E-02 3.25392E-03 3.90035E-03 7.15427E-03 2.44694E-03 0.080511 4 7 60.0 90.0 90.0 5.98232E-02 3.28556E-03 4.55472E-03 7.84028E-03 2.47073E-03 0.076136 3 1 70.0 0.0 180.0 6.57303E-02 3.08994E-03 1.09104E-02 1.40003E-02 2.32363E-03 0.165987 3 4 70.0 45.0 135.0 6.38802E-02 3.07887E-03 1.04978E-02 1.35767E-02 2.31530E-03 0.164336 3 7 70.0 90.0 90.0 7.14166E-02 3.12910E-03 1.14159E-02 1.45450E-02 2.35308E-03 0.159849 2 1 80.0 0.0 180.0 1.11677E-01 2.66626E-03 2.71199E-02 2.97862E-02 2.00502E-03 0.242843 2 4 80.0 45.0 135.0 1.03410E-01 2.65304E-03 2.62306E-02 2.88837E-02 1.99508E-03 0.253655 2 7 80.0 90.0 90.0 1.02739E-01 2.71366E-03 2.74706E-02 3.01842E-02 2.04066E-03 0.267382 1 1 87.5 0.0 180.0 1.80561E-01 2.16342E-03 4.78298E-02 4.99932E-02 1.62689E-03 0.264896 1 4 87.5 45.0 135.0 1.62573E-01 2.05210E-03 4.75345E-02 4.95866E-02 1.54317E-03 0.292389 1 7 87.5 90.0 90.0 1.47905E-01 2.33831E-03 4.86484E-02 5.09867E-02 1.75840E-03 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 595.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.044E-02 9.543E-02 1.153E-01 9.945E-02 1.491E-01 7.851E-03 5.167E+00 3.040E-03 2.286E-03 1 0.00 0.00 5.639E-03 1.776E-01 1.185E-02 1.453E-02 2.175E-02 4.338E-03 4.300E+00 3 3.93 5.00 1.774E-03 2.042E-01 5.006E-03 6.840E-03 1.162E-02 4.533E-03 4.689E+00 5 7.86 10.00 5.205E-04 8.192E-02 1.659E-03 2.204E-03 3.442E-03 4.719E-03 4.780E+00 7 11.79 15.00 1.514E-04 2.585E-02 5.182E-04 6.561E-04 9.286E-04 4.993E-03 4.764E+00 9 15.72 20.00 4.507E-05 7.467E-03 1.582E-04 1.903E-04 2.461E-04 5.451E-03 4.679E+00 Waveband 25 of 40 completed in 5.4 sec. * * * * * Output for wavelength band 26 (600.0 to 610.0 nm; nominal wavelength = 605.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 42.1 m at 605.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 600.0 nm to 610.0 nm: Ed(diffuse) = 3.601E-01 Ed(direct) = 1.006E+00 Ed(total) = 1.366E+00 Absorption Coefficients of Individual Components at 605.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2577 0.0162 0.0012 0.0066 0.2817 3 4.339 5.000 0.2577 0.0162 0.0012 0.0066 0.2817 5 8.678 10.000 0.2577 0.0162 0.0012 0.0066 0.2817 7 13.018 15.000 0.2577 0.0162 0.0012 0.0066 0.2817 9 17.357 20.000 0.2577 0.0162 0.0012 0.0066 0.2817 Scattering Coefficients of Individual Components at 605.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0013 0.4440 0.0000 0.1409 0.5862 3 4.339 5.000 0.0013 0.4440 0.0000 0.1409 0.5862 5 8.678 10.000 0.0013 0.4440 0.0000 0.1409 0.5862 7 13.018 15.000 0.0013 0.4440 0.0000 0.1409 0.5862 9 17.357 20.000 0.0013 0.4440 0.0000 0.1409 0.5862 Backscattering Coefficients of Individual Components at 605.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00063 0.00444 0.00000 0.00423 0.00930 3 4.339 5.000 0.00063 0.00444 0.00000 0.00423 0.00930 5 8.678 10.000 0.00063 0.00444 0.00000 0.00423 0.00930 7 13.018 15.000 0.00063 0.00444 0.00000 0.00423 0.00930 9 17.357 20.000 0.00063 0.00444 0.00000 0.00423 0.00930 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 0.2817 0.5862 0.8678 0.6754 0.00930 0.01587 3 4.339 5.000 0.2817 0.5862 0.8678 0.6754 0.00930 0.01587 5 8.678 10.000 0.2817 0.5862 0.8678 0.6754 0.00930 0.01587 7 13.018 15.000 0.2817 0.5862 0.8678 0.6754 0.00930 0.01587 9 17.357 20.000 0.2817 0.5862 0.8678 0.6754 0.00930 0.01587 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.9296E-01 8 20.00 6.6212E-01 7 30.00 4.1824E-01 6 40.00 2.3572E-01 5 50.00 1.2470E-01 4 60.00 6.5013E-02 3 70.00 3.4772E-02 2 80.00 1.9682E-02 1 87.50 1.3356E-02 1 92.50 1.0391E-02 2 100.00 7.6262E-03 3 110.00 5.4121E-03 4 120.00 4.1266E-03 5 130.00 3.3737E-03 6 140.00 2.9284E-03 7 150.00 2.6660E-03 8 160.00 2.5161E-03 9 170.00 2.4393E-03 10 180.00 2.4129E-03 Asymptotic AOP values are MUu(inf) = 0.3703 MUd(inf) = 0.8065 MU(inf) = 0.7731 R(inf) = 0.0134 Lu(inf)/Ed(inf) = 0.002803 (1/sr) k(inf) = 0.3644 (1/m) absorp(check) = 0.2817 = 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 1.3870E-01 1.8895E+00 2.0282E+00 5.1530E-02 1.3657E+00 0.3715 0.7228 0.6479 3.7733E-02 1 0.00 0.00 3.9508E-02 1.4987E+00 1.5382E+00 1.5901E-02 1.3300E+00 0.4025 0.8875 0.8543 1.1956E-02 3 4.34 5.00 8.4993E-03 2.8633E-01 2.9482E-01 3.2375E-03 2.3643E-01 0.3809 0.8258 0.7910 1.3693E-02 5 8.68 10.00 1.5876E-03 4.8595E-02 5.0182E-02 6.0995E-04 3.9347E-02 0.3842 0.8097 0.7719 1.5502E-02 7 13.02 15.00 3.2140E-04 8.0418E-03 8.3632E-03 1.2862E-04 6.4487E-03 0.4002 0.8019 0.7557 1.9946E-02 9 17.36 20.00 8.0992E-05 1.3481E-03 1.4291E-03 3.4564E-05 1.0678E-03 0.4268 0.7920 0.7230 3.2370E-02 K-functions (units of 1/meter) at 605.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.22046 0.28901 0.28725 0.27070 0.32875 0.32946 0.31395 5.000 5.010 5.005 0.33343 0.34855 0.34812 0.33511 0.35481 0.35508 0.33718 10.000 10.010 10.005 0.33272 0.35871 0.35788 0.32782 0.36113 0.36165 0.31925 15.000 15.010 15.005 0.30179 0.35967 0.35745 0.29056 0.36151 0.36295 0.27342 20.000 20.010 20.005 0.24772 0.35315 0.34718 0.23453 0.35673 0.36082 0.21742 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 605.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 9.71580E-02 2.00377E-03 7.59453E-03 9.59830E-03 1.46725E-03 0.078167 9 1 10.0 0.0 180.0 5.99505E-02 2.05436E-03 2.20375E-03 4.25811E-03 1.50430E-03 0.036759 9 4 10.0 45.0 135.0 6.58694E-02 2.03890E-03 2.56222E-03 4.60113E-03 1.49298E-03 0.038899 9 7 10.0 90.0 90.0 8.89950E-02 2.01972E-03 5.44376E-03 7.46348E-03 1.47893E-03 0.061169 8 1 20.0 0.0 180.0 4.70903E-02 2.08539E-03 1.15239E-03 3.23778E-03 1.52702E-03 0.024472 8 4 20.0 45.0 135.0 5.24241E-02 2.05305E-03 1.36131E-03 3.41437E-03 1.50334E-03 0.025967 8 7 20.0 90.0 90.0 7.70872E-02 2.02733E-03 3.14956E-03 5.17689E-03 1.48450E-03 0.040857 7 1 30.0 0.0 180.0 4.08298E-02 2.12586E-03 9.82865E-04 3.10873E-03 1.55665E-03 0.024072 7 4 30.0 45.0 135.0 4.52693E-02 2.10668E-03 1.10439E-03 3.21108E-03 1.54261E-03 0.024396 7 7 30.0 90.0 90.0 6.59988E-02 2.06395E-03 1.92477E-03 3.98871E-03 1.51132E-03 0.029164 6 1 40.0 0.0 180.0 3.87552E-02 2.15738E-03 1.09282E-03 3.25020E-03 1.57973E-03 0.028198 6 4 40.0 45.0 135.0 4.23767E-02 2.13100E-03 1.18524E-03 3.31625E-03 1.56042E-03 0.027969 6 7 40.0 90.0 90.0 5.94963E-02 2.08821E-03 1.71848E-03 3.80669E-03 1.52908E-03 0.028884 5 1 50.0 0.0 180.0 4.06335E-02 2.19722E-03 1.72630E-03 3.92351E-03 1.60890E-03 0.042485 5 4 50.0 45.0 135.0 4.33005E-02 2.15735E-03 1.79848E-03 3.95583E-03 1.57971E-03 0.041535 5 7 50.0 90.0 90.0 5.75571E-02 2.12232E-03 2.32510E-03 4.44743E-03 1.55406E-03 0.040396 4 1 60.0 0.0 180.0 4.82326E-02 2.17731E-03 4.02147E-03 6.19878E-03 1.59433E-03 0.083377 4 4 60.0 45.0 135.0 4.93242E-02 2.13438E-03 3.97113E-03 6.10551E-03 1.56289E-03 0.080511 4 7 60.0 90.0 90.0 6.09089E-02 2.13330E-03 4.63738E-03 6.77068E-03 1.56210E-03 0.076136 3 1 70.0 0.0 180.0 6.69231E-02 2.03277E-03 1.11084E-02 1.31412E-02 1.48849E-03 0.165987 3 4 70.0 45.0 135.0 6.50395E-02 2.01556E-03 1.06883E-02 1.27039E-02 1.47589E-03 0.164336 3 7 70.0 90.0 90.0 7.27126E-02 2.02773E-03 1.16230E-02 1.36508E-02 1.48480E-03 0.159849 2 1 80.0 0.0 180.0 1.13703E-01 1.75168E-03 2.76121E-02 2.93638E-02 1.28266E-03 0.242843 2 4 80.0 45.0 135.0 1.05287E-01 1.73428E-03 2.67066E-02 2.84409E-02 1.26992E-03 0.253655 2 7 80.0 90.0 90.0 1.04604E-01 1.75666E-03 2.79691E-02 2.97258E-02 1.28631E-03 0.267382 1 1 87.5 0.0 180.0 1.83838E-01 1.42025E-03 4.86978E-02 5.01181E-02 1.03997E-03 0.264896 1 4 87.5 45.0 135.0 1.65523E-01 1.34059E-03 4.83971E-02 4.97377E-02 9.81640E-04 0.292389 1 7 87.5 90.0 90.0 1.50590E-01 1.51402E-03 4.95313E-02 5.10453E-02 1.10864E-03 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 605.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 9.598E-03 9.716E-02 1.170E-01 1.008E-01 1.513E-01 7.028E-03 5.369E+00 2.004E-03 1.467E-03 1 0.00 0.00 3.718E-03 1.808E-01 8.056E-03 9.950E-03 1.525E-02 2.795E-03 4.277E+00 3 4.34 5.00 7.087E-04 1.287E-01 1.998E-03 2.740E-03 4.701E-03 2.997E-03 4.568E+00 5 8.68 10.00 1.358E-04 3.194E-02 3.990E-04 5.232E-04 8.072E-04 3.451E-03 4.492E+00 7 13.02 15.00 3.059E-05 6.208E-03 8.237E-05 1.004E-04 1.361E-04 4.744E-03 4.205E+00 9 17.36 20.00 8.995E-06 1.102E-03 1.963E-05 2.206E-05 2.631E-05 8.424E-03 3.842E+00 Waveband 26 of 40 completed in 6.4 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 42.1 m at 615.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 610.0 nm to 620.0 nm: Ed(diffuse) = 3.486E-01 Ed(direct) = 9.845E-01 Ed(total) = 1.333E+00 Absorption Coefficients of Individual Components at 615.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2678 0.0156 0.0010 0.0063 0.2908 3 4.337 5.000 0.2678 0.0156 0.0010 0.0063 0.2908 5 8.675 10.000 0.2678 0.0156 0.0010 0.0063 0.2908 7 13.012 15.000 0.2678 0.0156 0.0010 0.0063 0.2908 9 17.350 20.000 0.2678 0.0156 0.0010 0.0063 0.2908 Scattering Coefficients of Individual Components at 615.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0012 0.4368 0.0000 0.1388 0.5767 3 4.337 5.000 0.0012 0.4368 0.0000 0.1388 0.5767 5 8.675 10.000 0.0012 0.4368 0.0000 0.1388 0.5767 7 13.012 15.000 0.0012 0.4368 0.0000 0.1388 0.5767 9 17.350 20.000 0.0012 0.4368 0.0000 0.1388 0.5767 Backscattering Coefficients of Individual Components at 615.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00059 0.00437 0.00000 0.00416 0.00912 3 4.337 5.000 0.00059 0.00437 0.00000 0.00416 0.00912 5 8.675 10.000 0.00059 0.00437 0.00000 0.00416 0.00912 7 13.012 15.000 0.00059 0.00437 0.00000 0.00416 0.00912 9 17.350 20.000 0.00059 0.00437 0.00000 0.00416 0.00912 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 0.2908 0.5767 0.8675 0.6648 0.00912 0.01582 3 4.337 5.000 0.2908 0.5767 0.8675 0.6648 0.00912 0.01582 5 8.675 10.000 0.2908 0.5767 0.8675 0.6648 0.00912 0.01582 7 13.012 15.000 0.2908 0.5767 0.8675 0.6648 0.00912 0.01582 9 17.350 20.000 0.2908 0.5767 0.8675 0.6648 0.00912 0.01582 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.8976E-01 8 20.00 6.5370E-01 7 30.00 4.0755E-01 6 40.00 2.2638E-01 5 50.00 1.1812E-01 4 60.00 6.0889E-02 3 70.00 3.2298E-02 2 80.00 1.8182E-02 1 87.50 1.2307E-02 1 92.50 9.5667E-03 2 100.00 7.0151E-03 3 110.00 4.9758E-03 4 120.00 3.7951E-03 5 130.00 3.1055E-03 6 140.00 2.6986E-03 7 150.00 2.4595E-03 8 160.00 2.3233E-03 9 170.00 2.2538E-03 10 180.00 2.2299E-03 Asymptotic AOP values are MUu(inf) = 0.3705 MUd(inf) = 0.8106 MU(inf) = 0.7787 R(inf) = 0.0127 Lu(inf)/Ed(inf) = 0.002653 (1/sr) k(inf) = 0.3734 (1/m) absorp(check) = 0.2908 = 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 1.3403E-01 1.8420E+00 1.9760E+00 4.9844E-02 1.3331E+00 0.3719 0.7237 0.6494 3.7389E-02 1 0.00 0.00 3.6571E-02 1.4612E+00 1.4977E+00 1.4689E-02 1.2979E+00 0.4017 0.8883 0.8568 1.1317E-02 3 4.34 5.00 7.4650E-03 2.6537E-01 2.7283E-01 2.8413E-03 2.1983E-01 0.3806 0.8284 0.7953 1.2925E-02 5 8.67 10.00 1.3302E-03 4.2915E-02 4.4245E-02 5.1116E-04 3.4891E-02 0.3843 0.8130 0.7770 1.4650E-02 7 13.01 15.00 2.5941E-04 6.7752E-03 7.0346E-03 1.0407E-04 5.4575E-03 0.4012 0.8055 0.7610 1.9069E-02 9 17.35 20.00 6.4099E-05 1.0853E-03 1.1494E-03 2.7490E-05 8.6328E-04 0.4289 0.7955 0.7272 3.1844E-02 K-functions (units of 1/meter) at 615.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.23035 0.29930 0.29761 0.28094 0.33850 0.33916 0.32399 5.000 5.010 5.005 0.34341 0.35838 0.35797 0.34492 0.36437 0.36463 0.34675 10.000 10.010 10.005 0.34145 0.36823 0.36742 0.33626 0.37053 0.37104 0.32724 15.000 15.010 15.005 0.30768 0.36897 0.36670 0.29588 0.37077 0.37222 0.27805 20.000 20.010 20.005 0.24978 0.36192 0.35566 0.23630 0.36563 0.36989 0.21909 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 615.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 9.40678E-02 1.85007E-03 7.40839E-03 9.25846E-03 1.38779E-03 0.078756 9 1 10.0 0.0 180.0 5.80437E-02 1.89733E-03 2.14110E-03 4.03842E-03 1.42324E-03 0.036888 9 4 10.0 45.0 135.0 6.37743E-02 1.88284E-03 2.49030E-03 4.37314E-03 1.41237E-03 0.039049 9 7 10.0 90.0 90.0 8.61644E-02 1.86464E-03 5.30490E-03 7.16955E-03 1.39872E-03 0.061567 8 1 20.0 0.0 180.0 4.55925E-02 1.92616E-03 1.11611E-03 3.04227E-03 1.44486E-03 0.024480 8 4 20.0 45.0 135.0 5.07567E-02 1.89594E-03 1.31899E-03 3.21493E-03 1.42220E-03 0.025986 8 7 20.0 90.0 90.0 7.46354E-02 1.87139E-03 3.06243E-03 4.93382E-03 1.40378E-03 0.041032 7 1 30.0 0.0 180.0 3.95312E-02 1.96360E-03 9.51604E-04 2.91520E-03 1.47295E-03 0.024072 7 4 30.0 45.0 135.0 4.38298E-02 1.94539E-03 1.06931E-03 3.01470E-03 1.45929E-03 0.024397 7 7 30.0 90.0 90.0 6.38979E-02 1.90485E-03 1.86611E-03 3.77096E-03 1.42888E-03 0.029205 6 1 40.0 0.0 180.0 3.75225E-02 1.99258E-03 1.05807E-03 3.05065E-03 1.49469E-03 0.028198 6 4 40.0 45.0 135.0 4.10289E-02 1.96757E-03 1.14754E-03 3.11512E-03 1.47593E-03 0.027969 6 7 40.0 90.0 90.0 5.76039E-02 1.92672E-03 1.66399E-03 3.59071E-03 1.44528E-03 0.028887 5 1 50.0 0.0 180.0 3.93411E-02 2.02914E-03 1.67139E-03 3.70053E-03 1.52211E-03 0.042485 5 4 50.0 45.0 135.0 4.19233E-02 1.99158E-03 1.74128E-03 3.73286E-03 1.49394E-03 0.041535 5 7 50.0 90.0 90.0 5.57265E-02 1.95780E-03 2.25115E-03 4.20895E-03 1.46860E-03 0.040396 4 1 60.0 0.0 180.0 4.66985E-02 2.01050E-03 3.89357E-03 5.90407E-03 1.50813E-03 0.083377 4 4 60.0 45.0 135.0 4.77554E-02 1.97008E-03 3.84482E-03 5.81490E-03 1.47781E-03 0.080511 4 7 60.0 90.0 90.0 5.89717E-02 1.96762E-03 4.48988E-03 6.45750E-03 1.47596E-03 0.076136 3 1 70.0 0.0 180.0 6.47946E-02 1.87680E-03 1.07551E-02 1.26319E-02 1.40784E-03 0.165987 3 4 70.0 45.0 135.0 6.29709E-02 1.86017E-03 1.03484E-02 1.22085E-02 1.39536E-03 0.164336 3 7 70.0 90.0 90.0 7.03999E-02 1.87016E-03 1.12534E-02 1.31235E-02 1.40285E-03 0.159849 2 1 80.0 0.0 180.0 1.10087E-01 1.61713E-03 2.67339E-02 2.83510E-02 1.21305E-03 0.242843 2 4 80.0 45.0 135.0 1.01938E-01 1.60045E-03 2.58572E-02 2.74577E-02 1.20054E-03 0.253655 2 7 80.0 90.0 90.0 1.01277E-01 1.62019E-03 2.70795E-02 2.86997E-02 1.21535E-03 0.267382 1 1 87.5 0.0 180.0 1.77990E-01 1.31112E-03 4.71489E-02 4.84600E-02 9.83504E-04 0.264896 1 4 87.5 45.0 135.0 1.60258E-01 1.23713E-03 4.68578E-02 4.80950E-02 9.28008E-04 0.292389 1 7 87.5 90.0 90.0 1.45800E-01 1.39662E-03 4.79559E-02 4.93525E-02 1.04764E-03 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 615.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 9.258E-03 9.407E-02 1.132E-01 9.758E-02 1.464E-01 6.945E-03 5.384E+00 1.850E-03 1.388E-03 1 0.00 0.00 3.433E-03 1.750E-01 7.469E-03 9.244E-03 1.422E-02 2.645E-03 4.279E+00 3 4.34 5.00 6.227E-04 1.191E-01 1.756E-03 2.413E-03 4.155E-03 2.833E-03 4.563E+00 5 8.67 10.00 1.141E-04 2.844E-02 3.340E-04 4.386E-04 6.790E-04 3.271E-03 4.479E+00 7 13.01 15.00 2.490E-05 5.311E-03 6.619E-05 8.071E-05 1.096E-04 4.562E-03 4.180E+00 9 17.35 20.00 7.213E-06 9.048E-04 1.538E-05 1.725E-05 2.054E-05 8.356E-03 3.811E+00 Waveband 27 of 40 completed in 6.3 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 41.9 m at 625.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 620.0 nm to 630.0 nm: Ed(diffuse) = 3.421E-01 Ed(direct) = 9.764E-01 Ed(total) = 1.319E+00 Absorption Coefficients of Individual Components at 625.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2834 0.0174 0.0009 0.0071 0.3088 3 4.377 5.000 0.2834 0.0174 0.0009 0.0071 0.3088 5 8.754 10.000 0.2834 0.0174 0.0009 0.0071 0.3088 7 13.130 15.000 0.2834 0.0174 0.0009 0.0071 0.3088 9 17.507 20.000 0.2834 0.0174 0.0009 0.0071 0.3088 Scattering Coefficients of Individual Components at 625.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0011 0.4298 0.0000 0.1357 0.5666 3 4.377 5.000 0.0011 0.4298 0.0000 0.1357 0.5666 5 8.754 10.000 0.0011 0.4298 0.0000 0.1357 0.5666 7 13.130 15.000 0.0011 0.4298 0.0000 0.1357 0.5666 9 17.507 20.000 0.0011 0.4298 0.0000 0.1357 0.5666 Backscattering Coefficients of Individual Components at 625.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00055 0.00430 0.00000 0.00407 0.00892 3 4.377 5.000 0.00055 0.00430 0.00000 0.00407 0.00892 5 8.754 10.000 0.00055 0.00430 0.00000 0.00407 0.00892 7 13.130 15.000 0.00055 0.00430 0.00000 0.00407 0.00892 9 17.507 20.000 0.00055 0.00430 0.00000 0.00407 0.00892 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 0.3088 0.5666 0.8754 0.6473 0.00892 0.01574 3 4.377 5.000 0.3088 0.5666 0.8754 0.6473 0.00892 0.01574 5 8.754 10.000 0.3088 0.5666 0.8754 0.6473 0.00892 0.01574 7 13.130 15.000 0.3088 0.5666 0.8754 0.6473 0.00892 0.01574 9 17.507 20.000 0.3088 0.5666 0.8754 0.6473 0.00892 0.01574 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.8432E-01 8 20.00 6.3958E-01 7 30.00 3.9000E-01 6 40.00 2.1140E-01 5 50.00 1.0782E-01 4 60.00 5.4565E-02 3 70.00 2.8567E-02 2 80.00 1.5947E-02 1 87.50 1.0753E-02 1 92.50 8.3513E-03 2 100.00 6.1172E-03 3 110.00 4.3374E-03 4 120.00 3.3115E-03 5 130.00 2.7147E-03 6 140.00 2.3641E-03 7 150.00 2.1590E-03 8 160.00 2.0428E-03 9 170.00 1.9837E-03 10 180.00 1.9635E-03 Asymptotic AOP values are MUu(inf) = 0.3710 MUd(inf) = 0.8171 MU(inf) = 0.7877 R(inf) = 0.0115 Lu(inf)/Ed(inf) = 0.002430 (1/sr) k(inf) = 0.3920 (1/m) absorp(check) = 0.3088 = 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 1.3095E-01 1.8196E+00 1.9505E+00 4.8691E-02 1.3185E+00 0.3718 0.7246 0.6510 3.6928E-02 1 0.00 0.00 3.3235E-02 1.4427E+00 1.4759E+00 1.3311E-02 1.2831E+00 0.4005 0.8894 0.8604 1.0374E-02 3 4.38 5.00 6.1219E-03 2.3665E-01 2.4277E-01 2.3300E-03 1.9699E-01 0.3806 0.8324 0.8018 1.1828E-02 5 8.75 10.00 1.0002E-03 3.4694E-02 3.5694E-02 3.8593E-04 2.8383E-02 0.3859 0.8181 0.7844 1.3597E-02 7 13.13 15.00 1.8566E-04 4.9827E-03 5.1683E-03 7.5441E-05 4.0392E-03 0.4063 0.8106 0.7669 1.8677E-02 9 17.51 20.00 4.6298E-05 7.3200E-04 7.7830E-04 2.0237E-05 5.8456E-04 0.4371 0.7986 0.7251 3.4618E-02 K-functions (units of 1/meter) at 625.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.24924 0.31954 0.31796 0.30085 0.35809 0.35869 0.34367 5.000 5.010 5.005 0.36276 0.37832 0.37793 0.36373 0.38389 0.38413 0.36466 10.000 10.010 10.005 0.35613 0.38755 0.38667 0.34966 0.38969 0.39025 0.33867 15.000 15.010 15.005 0.31182 0.38737 0.38465 0.29807 0.38932 0.39105 0.27805 20.000 20.010 20.005 0.24321 0.37762 0.36962 0.22961 0.38232 0.38780 0.21301 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 625.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 9.23208E-02 1.67665E-03 7.32262E-03 8.99927E-03 1.27161E-03 0.079317 9 1 10.0 0.0 180.0 5.69657E-02 1.72031E-03 2.10829E-03 3.82860E-03 1.30472E-03 0.037010 9 4 10.0 45.0 135.0 6.25899E-02 1.70686E-03 2.45300E-03 4.15987E-03 1.29453E-03 0.039192 9 7 10.0 90.0 90.0 8.45642E-02 1.68962E-03 5.23844E-03 6.92806E-03 1.28145E-03 0.061946 8 1 20.0 0.0 180.0 4.47458E-02 1.74669E-03 1.09573E-03 2.84243E-03 1.32473E-03 0.024488 8 4 20.0 45.0 135.0 4.98141E-02 1.71876E-03 1.29540E-03 3.01416E-03 1.30354E-03 0.026005 8 7 20.0 90.0 90.0 7.32493E-02 1.69528E-03 3.01775E-03 4.71302E-03 1.28574E-03 0.041198 7 1 30.0 0.0 180.0 3.87970E-02 1.78070E-03 9.33930E-04 2.71463E-03 1.35052E-03 0.024072 7 4 30.0 45.0 135.0 4.30160E-02 1.76344E-03 1.04950E-03 2.81293E-03 1.33743E-03 0.024398 7 7 30.0 90.0 90.0 6.27096E-02 1.72500E-03 1.83385E-03 3.55885E-03 1.30828E-03 0.029244 6 1 40.0 0.0 180.0 3.68257E-02 1.80673E-03 1.03842E-03 2.84514E-03 1.37026E-03 0.028198 6 4 40.0 45.0 135.0 4.02669E-02 1.78306E-03 1.12623E-03 2.90929E-03 1.35231E-03 0.027969 6 7 40.0 90.0 90.0 5.65341E-02 1.74388E-03 1.63324E-03 3.37712E-03 1.32260E-03 0.028890 5 1 50.0 0.0 180.0 3.86105E-02 1.83945E-03 1.64035E-03 3.47980E-03 1.39508E-03 0.042485 5 4 50.0 45.0 135.0 4.11447E-02 1.80427E-03 1.70894E-03 3.51321E-03 1.36840E-03 0.041535 5 7 50.0 90.0 90.0 5.46915E-02 1.77127E-03 2.20934E-03 3.98062E-03 1.34337E-03 0.040396 4 1 60.0 0.0 180.0 4.58313E-02 1.82211E-03 3.82126E-03 5.64337E-03 1.38193E-03 0.083377 4 4 60.0 45.0 135.0 4.68685E-02 1.78424E-03 3.77342E-03 5.55766E-03 1.35321E-03 0.080511 4 7 60.0 90.0 90.0 5.78765E-02 1.77951E-03 4.40650E-03 6.18601E-03 1.34962E-03 0.076136 3 1 70.0 0.0 180.0 6.35912E-02 1.70049E-03 1.05553E-02 1.22558E-02 1.28969E-03 0.165987 3 4 70.0 45.0 135.0 6.18014E-02 1.68422E-03 1.01562E-02 1.18404E-02 1.27735E-03 0.164336 3 7 70.0 90.0 90.0 6.90925E-02 1.69098E-03 1.10444E-02 1.27353E-02 1.28248E-03 0.159849 2 1 80.0 0.0 180.0 1.08042E-01 1.46492E-03 2.62374E-02 2.77023E-02 1.11103E-03 0.242843 2 4 80.0 45.0 135.0 1.00045E-01 1.44877E-03 2.53770E-02 2.68258E-02 1.09878E-03 0.253655 2 7 80.0 90.0 90.0 9.93957E-02 1.46483E-03 2.65766E-02 2.80415E-02 1.11096E-03 0.267382 1 1 87.5 0.0 180.0 1.74685E-01 1.18757E-03 4.62733E-02 4.74609E-02 9.00680E-04 0.264896 1 4 87.5 45.0 135.0 1.57282E-01 1.11980E-03 4.59876E-02 4.71074E-02 8.49281E-04 0.292389 1 7 87.5 90.0 90.0 1.43092E-01 1.26283E-03 4.70653E-02 4.83281E-02 9.57762E-04 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 625.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 8.999E-03 9.232E-02 1.111E-01 9.571E-02 1.437E-01 6.825E-03 5.411E+00 1.677E-03 1.272E-03 1 0.00 0.00 3.111E-03 1.718E-01 6.813E-03 8.450E-03 1.306E-02 2.424E-03 4.279E+00 3 4.38 5.00 5.128E-04 1.067E-01 1.442E-03 1.985E-03 3.429E-03 2.603E-03 4.543E+00 5 8.75 10.00 8.712E-05 2.339E-02 2.501E-04 3.281E-04 5.082E-04 3.070E-03 4.430E+00 7 13.13 15.00 1.846E-05 4.009E-03 4.652E-05 5.634E-05 7.602E-05 4.571E-03 4.086E+00 9 17.51 20.00 5.456E-06 6.267E-04 1.070E-05 1.185E-05 1.389E-05 9.334E-03 3.709E+00 Waveband 28 of 40 completed in 6.5 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 41.6 m at 635.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 630.0 nm to 640.0 nm: Ed(diffuse) = 3.354E-01 Ed(direct) = 9.668E-01 Ed(total) = 1.302E+00 Absorption Coefficients of Individual Components at 635.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3012 0.0198 0.0008 0.0080 0.3298 3 4.432 5.000 0.3012 0.0198 0.0008 0.0080 0.3298 5 8.864 10.000 0.3012 0.0198 0.0008 0.0080 0.3298 7 13.295 15.000 0.3012 0.0198 0.0008 0.0080 0.3298 9 17.727 20.000 0.3012 0.0198 0.0008 0.0080 0.3298 Scattering Coefficients of Individual Components at 635.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0010 0.4230 0.0000 0.1325 0.5565 3 4.432 5.000 0.0010 0.4230 0.0000 0.1325 0.5565 5 8.864 10.000 0.0010 0.4230 0.0000 0.1325 0.5565 7 13.295 15.000 0.0010 0.4230 0.0000 0.1325 0.5565 9 17.727 20.000 0.0010 0.4230 0.0000 0.1325 0.5565 Backscattering Coefficients of Individual Components at 635.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00051 0.00423 0.00000 0.00397 0.00872 3 4.432 5.000 0.00051 0.00423 0.00000 0.00397 0.00872 5 8.864 10.000 0.00051 0.00423 0.00000 0.00397 0.00872 7 13.295 15.000 0.00051 0.00423 0.00000 0.00397 0.00872 9 17.727 20.000 0.00051 0.00423 0.00000 0.00397 0.00872 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 0.3298 0.5565 0.8864 0.6279 0.00872 0.01567 3 4.432 5.000 0.3298 0.5565 0.8864 0.6279 0.00872 0.01567 5 8.864 10.000 0.3298 0.5565 0.8864 0.6279 0.00872 0.01567 7 13.295 15.000 0.3298 0.5565 0.8864 0.6279 0.00872 0.01567 9 17.727 20.000 0.3298 0.5565 0.8864 0.6279 0.00872 0.01567 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.7811E-01 8 20.00 6.2380E-01 7 30.00 3.7095E-01 6 40.00 1.9567E-01 5 50.00 9.7341E-02 4 60.00 4.8299E-02 3 70.00 2.4945E-02 2 80.00 1.3810E-02 1 87.50 9.2786E-03 1 92.50 7.2007E-03 2 100.00 5.2700E-03 3 110.00 3.7363E-03 4 120.00 2.8564E-03 5 130.00 2.3466E-03 6 140.00 2.0484E-03 7 150.00 1.8749E-03 8 160.00 1.7772E-03 9 170.00 1.7278E-03 10 180.00 1.7108E-03 Asymptotic AOP values are MUu(inf) = 0.3717 MUd(inf) = 0.8241 MU(inf) = 0.7972 R(inf) = 0.0104 Lu(inf)/Ed(inf) = 0.002212 (1/sr) k(inf) = 0.4138 (1/m) absorp(check) = 0.3298 = 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 1.2779E-01 1.7950E+00 1.9228E+00 4.7509E-02 1.3022E+00 0.3718 0.7255 0.6526 3.6482E-02 1 0.00 0.00 2.9980E-02 1.4224E+00 1.4524E+00 1.1974E-02 1.2667E+00 0.3994 0.8905 0.8639 9.4531E-03 3 4.43 5.00 4.9102E-03 2.0717E-01 2.1208E-01 1.8710E-03 1.7330E-01 0.3810 0.8366 0.8084 1.0796E-02 5 8.86 10.00 7.3454E-04 2.7085E-02 2.7820E-02 2.8609E-04 2.2299E-02 0.3895 0.8233 0.7913 1.2830E-02 7 13.30 15.00 1.3467E-04 3.4900E-03 3.6247E-03 5.6107E-05 2.8450E-03 0.4166 0.8152 0.7694 1.9721E-02 9 17.73 20.00 3.6522E-05 4.6870E-04 5.0523E-04 1.6448E-05 3.7389E-04 0.4504 0.7977 0.7075 4.3993E-02 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 0.27199 0.34326 0.34179 0.32407 0.38107 0.38161 0.36641 5.000 5.010 5.005 0.38432 0.40164 0.40123 0.38434 0.40676 0.40700 0.38366 10.000 10.010 10.005 0.36821 0.41000 0.40890 0.35922 0.41205 0.41273 0.34435 15.000 15.010 15.005 0.30354 0.40795 0.40407 0.28687 0.41042 0.41291 0.26399 20.000 20.010 20.005 0.22172 0.39166 0.37937 0.20917 0.39888 0.40762 0.19489 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 635.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 9.05048E-02 1.50904E-03 7.22775E-03 8.73679E-03 1.15880E-03 0.079860 9 1 10.0 0.0 180.0 5.58452E-02 1.54908E-03 2.07342E-03 3.62250E-03 1.18955E-03 0.037128 9 4 10.0 45.0 135.0 6.13587E-02 1.53669E-03 2.41324E-03 3.94993E-03 1.18003E-03 0.039330 9 7 10.0 90.0 90.0 8.29008E-02 1.52048E-03 5.16582E-03 6.68630E-03 1.16759E-03 0.062313 8 1 20.0 0.0 180.0 4.38656E-02 1.57303E-03 1.07451E-03 2.64754E-03 1.20794E-03 0.024496 8 4 20.0 45.0 135.0 4.88342E-02 1.54739E-03 1.27079E-03 2.81817E-03 1.18825E-03 0.026022 8 7 20.0 90.0 90.0 7.18084E-02 1.52512E-03 2.96995E-03 4.49508E-03 1.17115E-03 0.041359 7 1 30.0 0.0 180.0 3.80338E-02 1.60367E-03 9.15559E-04 2.51923E-03 1.23147E-03 0.024072 7 4 30.0 45.0 135.0 4.21701E-02 1.58744E-03 1.02889E-03 2.61633E-03 1.21900E-03 0.024399 7 7 30.0 90.0 90.0 6.14745E-02 1.55129E-03 1.80005E-03 3.35134E-03 1.19124E-03 0.029281 6 1 40.0 0.0 180.0 3.61013E-02 1.62682E-03 1.01799E-03 2.64480E-03 1.24924E-03 0.028198 6 4 40.0 45.0 135.0 3.94748E-02 1.60460E-03 1.10408E-03 2.70868E-03 1.23218E-03 0.027969 6 7 40.0 90.0 90.0 5.54220E-02 1.56734E-03 1.60126E-03 3.16860E-03 1.20357E-03 0.028892 5 1 50.0 0.0 180.0 3.78510E-02 1.65584E-03 1.60808E-03 3.26392E-03 1.27153E-03 0.042485 5 4 50.0 45.0 135.0 4.03354E-02 1.62312E-03 1.67533E-03 3.29844E-03 1.24640E-03 0.041535 5 7 50.0 90.0 90.0 5.36157E-02 1.59119E-03 2.16588E-03 3.75708E-03 1.22189E-03 0.040396 4 1 60.0 0.0 180.0 4.49297E-02 1.63975E-03 3.74609E-03 5.38583E-03 1.25917E-03 0.083377 4 4 60.0 45.0 135.0 4.59466E-02 1.60453E-03 3.69919E-03 5.30372E-03 1.23213E-03 0.080511 4 7 60.0 90.0 90.0 5.67380E-02 1.59790E-03 4.31982E-03 5.91772E-03 1.22704E-03 0.076136 3 1 70.0 0.0 180.0 6.23404E-02 1.52981E-03 1.03477E-02 1.18775E-02 1.17475E-03 0.165987 3 4 70.0 45.0 135.0 6.05857E-02 1.51406E-03 9.95640E-03 1.14705E-02 1.16266E-03 0.164336 3 7 70.0 90.0 90.0 6.77334E-02 1.51794E-03 1.08271E-02 1.23451E-02 1.16564E-03 0.159849 2 1 80.0 0.0 180.0 1.05917E-01 1.31755E-03 2.57213E-02 2.70388E-02 1.01176E-03 0.242843 2 4 80.0 45.0 135.0 9.80772E-02 1.30206E-03 2.48778E-02 2.61799E-02 9.99859E-04 0.253655 2 7 80.0 90.0 90.0 9.74406E-02 1.31472E-03 2.60538E-02 2.73686E-02 1.00958E-03 0.267382 1 1 87.5 0.0 180.0 1.71249E-01 1.06793E-03 4.53631E-02 4.64310E-02 8.20066E-04 0.264896 1 4 87.5 45.0 135.0 1.54188E-01 1.00626E-03 4.50830E-02 4.60892E-02 7.72714E-04 0.292389 1 7 87.5 90.0 90.0 1.40277E-01 1.13346E-03 4.61395E-02 4.72729E-02 8.70394E-04 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 635.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 8.737E-03 9.050E-02 1.088E-01 9.378E-02 1.408E-01 6.709E-03 5.438E+00 1.509E-03 1.159E-03 1 0.00 0.00 2.800E-03 1.684E-01 6.168E-03 7.669E-03 1.191E-02 2.210E-03 4.277E+00 3 4.43 5.00 4.146E-04 9.385E-02 1.156E-03 1.594E-03 2.760E-03 2.392E-03 4.513E+00 5 8.86 10.00 6.589E-05 1.861E-02 1.818E-04 2.375E-04 3.666E-04 2.955E-03 4.342E+00 7 13.30 15.00 1.429E-05 2.883E-03 3.250E-05 3.875E-05 5.133E-05 5.023E-03 3.926E+00 9 17.73 20.00 4.617E-06 4.083E-04 7.914E-06 8.572E-06 9.738E-06 1.235E-02 3.563E+00 Waveband 29 of 40 completed in 6.5 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 41.3 m at 645.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 640.0 nm to 650.0 nm: Ed(diffuse) = 3.226E-01 Ed(direct) = 9.388E-01 Ed(total) = 1.261E+00 Absorption Coefficients of Individual Components at 645.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3250 0.0192 0.0007 0.0078 0.3527 3 4.503 5.000 0.3250 0.0192 0.0007 0.0078 0.3527 5 9.006 10.000 0.3250 0.0192 0.0007 0.0078 0.3527 7 13.510 15.000 0.3250 0.0192 0.0007 0.0078 0.3527 9 18.013 20.000 0.3250 0.0192 0.0007 0.0078 0.3527 Scattering Coefficients of Individual Components at 645.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0010 0.4165 0.0000 0.1305 0.5480 3 4.503 5.000 0.0010 0.4165 0.0000 0.1305 0.5480 5 9.006 10.000 0.0010 0.4165 0.0000 0.1305 0.5480 7 13.510 15.000 0.0010 0.4165 0.0000 0.1305 0.5480 9 18.013 20.000 0.0010 0.4165 0.0000 0.1305 0.5480 Backscattering Coefficients of Individual Components at 645.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00048 0.00416 0.00000 0.00392 0.00856 3 4.503 5.000 0.00048 0.00416 0.00000 0.00392 0.00856 5 9.006 10.000 0.00048 0.00416 0.00000 0.00392 0.00856 7 13.510 15.000 0.00048 0.00416 0.00000 0.00392 0.00856 9 18.013 20.000 0.00048 0.00416 0.00000 0.00392 0.00856 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 0.3527 0.5480 0.9006 0.6084 0.00856 0.01562 3 4.503 5.000 0.3527 0.5480 0.9006 0.6084 0.00856 0.01562 5 9.006 10.000 0.3527 0.5480 0.9006 0.6084 0.00856 0.01562 7 13.510 15.000 0.3527 0.5480 0.9006 0.6084 0.00856 0.01562 9 18.013 20.000 0.3527 0.5480 0.9006 0.6084 0.00856 0.01562 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.7173E-01 8 20.00 6.0794E-01 7 30.00 3.5241E-01 6 40.00 1.8089E-01 5 50.00 8.7818E-02 4 60.00 4.2768E-02 3 70.00 2.1817E-02 2 80.00 1.1991E-02 1 87.50 8.0327E-03 1 92.50 6.2316E-03 2 100.00 4.5585E-03 3 110.00 3.2327E-03 4 120.00 2.4751E-03 5 130.00 2.0377E-03 6 140.00 1.7830E-03 7 150.00 1.6356E-03 8 160.00 1.5531E-03 9 170.00 1.5115E-03 10 180.00 1.4973E-03 Asymptotic AOP values are MUu(inf) = 0.3724 MUd(inf) = 0.8308 MU(inf) = 0.8060 R(inf) = 0.0095 Lu(inf)/Ed(inf) = 0.002021 (1/sr) k(inf) = 0.4376 (1/m) absorp(check) = 0.3527 = 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 1.2246E-01 1.7368E+00 1.8593E+00 4.5528E-02 1.2614E+00 0.3718 0.7263 0.6540 3.6092E-02 1 0.00 0.00 2.6639E-02 1.3757E+00 1.4024E+00 1.0614E-02 1.2265E+00 0.3985 0.8915 0.8670 8.6541E-03 3 4.50 5.00 3.8501E-03 1.7609E-01 1.7994E-01 1.4706E-03 1.4798E-01 0.3820 0.8404 0.8142 9.9373E-03 5 9.01 10.00 5.3076E-04 2.0327E-02 2.0858E-02 2.0963E-04 1.6830E-02 0.3950 0.8280 0.7969 1.2455E-02 7 13.51 15.00 1.0007E-04 2.3331E-03 2.4332E-03 4.3011E-05 1.9090E-03 0.4298 0.8182 0.7669 2.2530E-02 9 18.01 20.00 3.0598E-05 2.8847E-04 3.1906E-04 1.4163E-05 2.2814E-04 0.4629 0.7909 0.6706 6.2078E-02 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 0.29659 0.36895 0.36757 0.34907 0.40611 0.40661 0.39088 5.000 5.010 5.005 0.40666 0.42701 0.42658 0.40542 0.43172 0.43199 0.40258 10.000 10.010 10.005 0.37600 0.43432 0.43284 0.36350 0.43636 0.43727 0.34368 15.000 15.010 15.005 0.28492 0.42918 0.42325 0.26628 0.43267 0.43651 0.24255 20.000 20.010 20.005 0.19768 0.40085 0.38135 0.18784 0.41264 0.42754 0.17730 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 645.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 8.70599E-02 1.33873E-03 6.99727E-03 8.33600E-03 1.06127E-03 0.080373 9 1 10.0 0.0 180.0 5.37195E-02 1.37483E-03 2.00049E-03 3.37532E-03 1.08989E-03 0.037239 9 4 10.0 45.0 135.0 5.90232E-02 1.36361E-03 2.32910E-03 3.69270E-03 1.08099E-03 0.039461 9 7 10.0 90.0 90.0 7.97453E-02 1.34869E-03 4.99681E-03 6.34549E-03 1.06916E-03 0.062660 8 1 20.0 0.0 180.0 4.21959E-02 1.39621E-03 1.03392E-03 2.43013E-03 1.10684E-03 0.024503 8 4 20.0 45.0 135.0 4.69754E-02 1.37307E-03 1.22320E-03 2.59628E-03 1.08850E-03 0.026039 8 7 20.0 90.0 90.0 6.90751E-02 1.35243E-03 2.86741E-03 4.21984E-03 1.07213E-03 0.041511 7 1 30.0 0.0 180.0 3.65861E-02 1.42340E-03 8.80710E-04 2.30411E-03 1.12839E-03 0.024072 7 4 30.0 45.0 135.0 4.05652E-02 1.40845E-03 9.89768E-04 2.39822E-03 1.11654E-03 0.024399 7 7 30.0 90.0 90.0 5.91332E-02 1.37515E-03 1.73360E-03 3.10875E-03 1.09014E-03 0.029317 6 1 40.0 0.0 180.0 3.47272E-02 1.44367E-03 9.79240E-04 2.42291E-03 1.14446E-03 0.028198 6 4 40.0 45.0 135.0 3.79723E-02 1.42324E-03 1.06205E-03 2.48529E-03 1.12826E-03 0.027969 6 7 40.0 90.0 90.0 5.33125E-02 1.38859E-03 1.54045E-03 2.92904E-03 1.10080E-03 0.028895 5 1 50.0 0.0 180.0 3.64103E-02 1.46902E-03 1.54687E-03 3.01590E-03 1.16456E-03 0.042485 5 4 50.0 45.0 135.0 3.88001E-02 1.43916E-03 1.61156E-03 3.05072E-03 1.14089E-03 0.041535 5 7 50.0 90.0 90.0 5.15749E-02 1.40905E-03 2.08344E-03 3.49249E-03 1.11702E-03 0.040396 4 1 60.0 0.0 180.0 4.32196E-02 1.45432E-03 3.60350E-03 5.05782E-03 1.15291E-03 0.083377 4 4 60.0 45.0 135.0 4.41977E-02 1.42218E-03 3.55839E-03 4.98057E-03 1.12743E-03 0.080511 4 7 60.0 90.0 90.0 5.45784E-02 1.41438E-03 4.15539E-03 5.56977E-03 1.12124E-03 0.076136 3 1 70.0 0.0 180.0 5.99675E-02 1.35638E-03 9.95383E-03 1.13102E-02 1.07527E-03 0.165987 3 4 70.0 45.0 135.0 5.82796E-02 1.34152E-03 9.57743E-03 1.09190E-02 1.06349E-03 0.164336 3 7 70.0 90.0 90.0 6.51552E-02 1.34315E-03 1.04150E-02 1.17582E-02 1.06478E-03 0.159849 2 1 80.0 0.0 180.0 1.01886E-01 1.16788E-03 2.47423E-02 2.59101E-02 9.25829E-04 0.242843 2 4 80.0 45.0 135.0 9.43441E-02 1.15336E-03 2.39309E-02 2.50843E-02 9.14322E-04 0.253655 2 7 80.0 90.0 90.0 9.37317E-02 1.16309E-03 2.50621E-02 2.62252E-02 9.22036E-04 0.267382 1 1 87.5 0.0 180.0 1.64730E-01 9.46430E-04 4.36364E-02 4.45828E-02 7.50277E-04 0.264896 1 4 87.5 45.0 135.0 1.48319E-01 8.91196E-04 4.33670E-02 4.42582E-02 7.06491E-04 0.292389 1 7 87.5 90.0 90.0 1.34938E-01 1.00271E-03 4.43833E-02 4.53860E-02 7.94896E-04 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 645.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 8.336E-03 8.706E-02 1.047E-01 9.016E-02 1.354E-01 6.608E-03 5.462E+00 1.339E-03 1.061E-03 1 0.00 0.00 2.484E-03 1.620E-01 5.504E-03 6.853E-03 1.069E-02 2.025E-03 4.273E+00 3 4.50 5.00 3.286E-04 8.031E-02 9.058E-04 1.248E-03 2.163E-03 2.220E-03 4.476E+00 5 9.01 10.00 4.956E-05 1.424E-02 1.294E-04 1.676E-04 2.564E-04 2.945E-03 4.230E+00 7 13.51 15.00 1.146E-05 1.974E-03 2.295E-05 2.673E-05 3.437E-05 6.002E-03 3.754E+00 9 18.01 20.00 4.113E-06 2.513E-04 6.214E-06 6.566E-06 7.192E-06 1.803E-02 3.443E+00 Waveband 30 of 40 completed in 6.8 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 40.4 m at 655.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 650.0 nm to 660.0 nm: Ed(diffuse) = 3.062E-01 Ed(direct) = 8.991E-01 Ed(total) = 1.205E+00 Absorption Coefficients of Individual Components at 655.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3710 0.0228 0.0006 0.0093 0.4037 3 4.708 5.000 0.3710 0.0228 0.0006 0.0093 0.4037 5 9.416 10.000 0.3710 0.0228 0.0006 0.0093 0.4037 7 14.124 15.000 0.3710 0.0228 0.0006 0.0093 0.4037 9 18.832 20.000 0.3710 0.0228 0.0006 0.0093 0.4037 Scattering Coefficients of Individual Components at 655.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0009 0.4101 0.0000 0.1270 0.5380 3 4.708 5.000 0.0009 0.4101 0.0000 0.1270 0.5380 5 9.416 10.000 0.0009 0.4101 0.0000 0.1270 0.5380 7 14.124 15.000 0.0009 0.4101 0.0000 0.1270 0.5380 9 18.832 20.000 0.0009 0.4101 0.0000 0.1270 0.5380 Backscattering Coefficients of Individual Components at 655.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00045 0.00410 0.00000 0.00381 0.00836 3 4.708 5.000 0.00045 0.00410 0.00000 0.00381 0.00836 5 9.416 10.000 0.00045 0.00410 0.00000 0.00381 0.00836 7 14.124 15.000 0.00045 0.00410 0.00000 0.00381 0.00836 9 18.832 20.000 0.00045 0.00410 0.00000 0.00381 0.00836 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 0.4037 0.5380 0.9416 0.5713 0.00836 0.01554 3 4.708 5.000 0.4037 0.5380 0.9416 0.5713 0.00836 0.01554 5 9.416 10.000 0.4037 0.5380 0.9416 0.5713 0.00836 0.01554 7 14.124 15.000 0.4037 0.5380 0.9416 0.5713 0.00836 0.01554 9 18.832 20.000 0.4037 0.5380 0.9416 0.5713 0.00836 0.01554 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.5882E-01 8 20.00 5.7688E-01 7 30.00 3.1775E-01 6 40.00 1.5463E-01 5 50.00 7.1673E-02 4 60.00 3.3739E-02 3 70.00 1.6848E-02 2 80.00 9.1524E-03 1 87.50 6.1053E-03 1 92.50 4.7364E-03 2 100.00 3.4644E-03 3 110.00 2.4601E-03 4 120.00 1.8900E-03 5 130.00 1.5631E-03 6 140.00 1.3743E-03 7 150.00 1.2661E-03 8 160.00 1.2063E-03 9 170.00 1.1764E-03 10 180.00 1.1663E-03 Asymptotic AOP values are MUu(inf) = 0.3741 MUd(inf) = 0.8429 MU(inf) = 0.8217 R(inf) = 0.0079 Lu(inf)/Ed(inf) = 0.001711 (1/sr) k(inf) = 0.4912 (1/m) absorp(check) = 0.4037 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 655.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.1538E-01 1.6578E+00 1.7732E+00 4.2836E-02 1.2053E+00 0.3713 0.7271 0.6556 3.5539E-02 1 0.00 0.00 2.1869E-02 1.3115E+00 1.3334E+00 8.6959E-03 1.1712E+00 0.3976 0.8930 0.8718 7.4248E-03 3 4.71 5.00 2.4815E-03 1.2590E-01 1.2838E-01 9.6381E-04 1.0662E-01 0.3884 0.8468 0.8230 9.0400E-03 5 9.42 10.00 3.3337E-04 1.1060E-02 1.1393E-02 1.3987E-04 9.2244E-03 0.4196 0.8340 0.7974 1.5163E-02 7 14.12 15.00 8.4603E-05 1.0172E-03 1.1018E-03 3.8994E-05 8.2364E-04 0.4609 0.8097 0.7121 4.7343E-02 9 18.83 20.00 3.3962E-05 1.2424E-04 1.5821E-04 1.6211E-05 9.0313E-05 0.4773 0.7269 0.4684 1.7950E-01 K-functions (units of 1/meter) at 655.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.34962 0.42619 0.42494 0.40196 0.46224 0.46269 0.44147 5.000 5.010 5.005 0.44158 0.48345 0.48264 0.43440 0.48757 0.48805 0.42269 10.000 10.010 10.005 0.34496 0.48616 0.48203 0.32335 0.48924 0.49179 0.29522 15.000 15.010 15.005 0.21478 0.46083 0.44192 0.20206 0.47196 0.48539 0.18864 20.000 20.010 20.005 0.16301 0.36428 0.32104 0.15997 0.39757 0.44962 0.15701 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 655.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 8.26289E-02 1.10202E-03 6.68238E-03 7.78440E-03 9.14282E-04 0.080872 9 1 10.0 0.0 180.0 5.09854E-02 1.13231E-03 1.90421E-03 3.03652E-03 9.39412E-04 0.037348 9 4 10.0 45.0 135.0 5.60192E-02 1.12282E-03 2.21768E-03 3.34050E-03 9.31539E-04 0.039588 9 7 10.0 90.0 90.0 7.56866E-02 1.10992E-03 4.76801E-03 5.87792E-03 9.20834E-04 0.062997 8 1 20.0 0.0 180.0 4.00483E-02 1.14991E-03 9.81576E-04 2.13149E-03 9.54017E-04 0.024510 8 4 20.0 45.0 135.0 4.45846E-02 1.13044E-03 1.16167E-03 2.29211E-03 9.37860E-04 0.026055 8 7 20.0 90.0 90.0 6.55595E-02 1.11240E-03 2.73118E-03 3.84357E-03 9.22892E-04 0.041660 7 1 30.0 0.0 180.0 3.47241E-02 1.17209E-03 8.35885E-04 2.00797E-03 9.72413E-04 0.024072 7 4 30.0 45.0 135.0 3.85009E-02 1.15919E-03 9.39428E-04 2.09861E-03 9.61711E-04 0.024400 7 7 30.0 90.0 90.0 5.61222E-02 1.13029E-03 1.64728E-03 2.77757E-03 9.37736E-04 0.029352 6 1 40.0 0.0 180.0 3.29597E-02 1.18813E-03 9.29401E-04 2.11753E-03 9.85722E-04 0.028198 6 4 40.0 45.0 135.0 3.60397E-02 1.17050E-03 1.00800E-03 2.17850E-03 9.71101E-04 0.027969 6 7 40.0 90.0 90.0 5.05991E-02 1.13997E-03 1.46217E-03 2.60214E-03 9.45771E-04 0.028897 5 1 50.0 0.0 180.0 3.45572E-02 1.20820E-03 1.46814E-03 2.67634E-03 1.00237E-03 0.042485 5 4 50.0 45.0 135.0 3.68253E-02 1.18266E-03 1.52954E-03 2.71219E-03 9.81183E-04 0.041535 5 7 50.0 90.0 90.0 4.89500E-02 1.15545E-03 1.97741E-03 3.13286E-03 9.58613E-04 0.040396 4 1 60.0 0.0 180.0 4.10199E-02 1.19526E-03 3.42010E-03 4.61535E-03 9.91636E-04 0.083377 4 4 60.0 45.0 135.0 4.19482E-02 1.16773E-03 3.37728E-03 4.54501E-03 9.68796E-04 0.080511 4 7 60.0 90.0 90.0 5.18006E-02 1.15852E-03 3.94390E-03 5.10243E-03 9.61162E-04 0.076136 3 1 70.0 0.0 180.0 5.69154E-02 1.11386E-03 9.44722E-03 1.05611E-02 9.24105E-04 0.165987 3 4 70.0 45.0 135.0 5.53134E-02 1.10050E-03 9.08998E-03 1.01905E-02 9.13020E-04 0.164336 3 7 70.0 90.0 90.0 6.18391E-02 1.09896E-03 9.88492E-03 1.09839E-02 9.11741E-04 0.159849 2 1 80.0 0.0 180.0 9.67001E-02 9.58371E-04 2.34830E-02 2.44413E-02 7.95106E-04 0.242843 2 4 80.0 45.0 135.0 8.95424E-02 9.45388E-04 2.27129E-02 2.36583E-02 7.84334E-04 0.253655 2 7 80.0 90.0 90.0 8.89611E-02 9.50788E-04 2.37866E-02 2.47374E-02 7.88815E-04 0.267382 1 1 87.5 0.0 180.0 1.56346E-01 7.76165E-04 4.14155E-02 4.21917E-02 6.43940E-04 0.264896 1 4 87.5 45.0 135.0 1.40771E-01 7.30022E-04 4.11598E-02 4.18898E-02 6.05658E-04 0.292389 1 7 87.5 90.0 90.0 1.28070E-01 8.19150E-04 4.21243E-02 4.29435E-02 6.79602E-04 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 655.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 7.784E-03 8.263E-02 9.927E-02 8.551E-02 1.284E-01 6.458E-03 5.503E+00 1.102E-03 9.143E-04 1 0.00 0.00 2.045E-03 1.537E-01 4.559E-03 5.679E-03 8.894E-03 1.746E-03 4.253E+00 3 4.71 5.00 2.225E-04 5.856E-02 5.764E-04 7.849E-04 1.344E-03 2.087E-03 4.332E+00 5 9.42 10.00 3.607E-05 8.046E-03 7.544E-05 9.279E-05 1.331E-04 3.910E-03 3.878E+00 7 14.12 15.00 1.122E-05 8.710E-04 1.696E-05 1.825E-05 2.086E-05 1.362E-02 3.477E+00 9 18.83 20.00 4.830E-06 9.095E-05 6.323E-06 6.413E-06 6.575E-06 5.349E-02 3.356E+00 Waveband 31 of 40 completed in 7.1 sec. * * * * * Output for wavelength band 32 (660.0 to 670.0 nm; nominal wavelength = 665.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 39.3 m at 665.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 660.0 nm to 670.0 nm: Ed(diffuse) = 3.168E-01 Ed(direct) = 9.381E-01 Ed(total) = 1.255E+00 Absorption Coefficients of Individual Components at 665.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.4290 0.0318 0.0005 0.0129 0.4742 3 5.001 5.000 0.4290 0.0318 0.0005 0.0129 0.4742 5 10.003 10.000 0.4290 0.0318 0.0005 0.0129 0.4742 7 15.004 15.000 0.4290 0.0318 0.0005 0.0129 0.4742 9 20.005 20.000 0.4290 0.0318 0.0005 0.0129 0.4742 Scattering Coefficients of Individual Components at 665.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0008 0.4039 0.0000 0.1213 0.5260 3 5.001 5.000 0.0008 0.4039 0.0000 0.1213 0.5260 5 10.003 10.000 0.0008 0.4039 0.0000 0.1213 0.5260 7 15.004 15.000 0.0008 0.4039 0.0000 0.1213 0.5260 9 20.005 20.000 0.0008 0.4039 0.0000 0.1213 0.5260 Backscattering Coefficients of Individual Components at 665.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00042 0.00404 0.00000 0.00364 0.00810 3 5.001 5.000 0.00042 0.00404 0.00000 0.00364 0.00810 5 10.003 10.000 0.00042 0.00404 0.00000 0.00364 0.00810 7 15.004 15.000 0.00042 0.00404 0.00000 0.00364 0.00810 9 20.005 20.000 0.00042 0.00404 0.00000 0.00364 0.00810 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 0.4742 0.5260 1.0003 0.5259 0.00810 0.01540 3 5.001 5.000 0.4742 0.5260 1.0003 0.5259 0.00810 0.01540 5 10.003 10.000 0.4742 0.5260 1.0003 0.5259 0.00810 0.01540 7 15.004 15.000 0.4742 0.5260 1.0003 0.5259 0.00810 0.01540 9 20.005 20.000 0.4742 0.5260 1.0003 0.5259 0.00810 0.01540 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.4148E-01 8 20.00 5.3728E-01 7 30.00 2.7669E-01 6 40.00 1.2582E-01 5 50.00 5.5142E-02 4 60.00 2.4976E-02 3 70.00 1.2199E-02 2 80.00 6.5549E-03 1 87.50 4.3580E-03 1 92.50 3.3839E-03 2 100.00 2.4769E-03 3 110.00 1.7630E-03 4 120.00 1.3607E-03 5 130.00 1.1316E-03 6 140.00 1.0007E-03 7 150.00 9.2665E-04 8 160.00 8.8628E-04 9 170.00 8.6648E-04 10 180.00 8.5979E-04 Asymptotic AOP values are MUu(inf) = 0.3764 MUd(inf) = 0.8570 MU(inf) = 0.8395 R(inf) = 0.0063 Lu(inf)/Ed(inf) = 0.001399 (1/sr) k(inf) = 0.5650 (1/m) absorp(check) = 0.4743 = 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 1.1890E-01 1.7242E+00 1.8431E+00 4.4151E-02 1.2549E+00 0.3713 0.7278 0.6569 3.5184E-02 1 0.00 0.00 2.0034E-02 1.3631E+00 1.3831E+00 8.0431E-03 1.2187E+00 0.4015 0.8941 0.8754 6.5995E-03 3 5.00 5.00 2.1670E-03 8.8785E-02 9.0951E-02 9.1162E-04 7.5593E-02 0.4207 0.8514 0.8211 1.2059E-02 5 10.00 10.00 5.1788E-04 5.7430E-03 6.2609E-03 2.4088E-04 4.6911E-03 0.4651 0.8168 0.7108 5.1350E-02 7 15.00 15.00 2.1374E-04 5.8241E-04 7.9615E-04 1.0212E-04 4.0412E-04 0.4778 0.6939 0.3793 2.5270E-01 9 20.01 20.00 9.7832E-05 1.5038E-04 2.4821E-04 4.6916E-05 8.5330E-05 0.4796 0.5674 0.1548 5.4982E-01 K-functions (units of 1/meter) at 665.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.41010 0.50553 0.50415 0.45285 0.53973 0.54031 0.48031 5.000 5.010 5.005 0.38513 0.55690 0.55280 0.36124 0.56194 0.56440 0.33219 10.000 10.010 10.005 0.21030 0.52475 0.49870 0.19877 0.54078 0.55933 0.18741 15.000 15.010 15.005 0.16136 0.36415 0.30967 0.15956 0.41255 0.49825 0.15781 20.000 20.010 20.005 0.15469 0.20004 0.18216 0.15447 0.22394 0.30885 0.15425 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 665.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 8.54737E-02 1.04161E-03 6.95328E-03 7.99489E-03 8.30065E-04 0.081350 9 1 10.0 0.0 180.0 5.27408E-02 1.06908E-03 1.97525E-03 3.04433E-03 8.51958E-04 0.037452 9 4 10.0 45.0 135.0 5.79479E-02 1.06041E-03 2.30109E-03 3.36149E-03 8.45044E-04 0.039710 9 7 10.0 90.0 90.0 7.82924E-02 1.04875E-03 4.95743E-03 6.00618E-03 8.35752E-04 0.063319 8 1 20.0 0.0 180.0 4.14272E-02 1.08448E-03 1.01565E-03 2.10013E-03 8.64230E-04 0.024516 8 4 20.0 45.0 135.0 4.61196E-02 1.06660E-03 1.20238E-03 2.26898E-03 8.49977E-04 0.026071 8 7 20.0 90.0 90.0 6.78167E-02 1.05031E-03 2.83482E-03 3.88512E-03 8.36996E-04 0.041801 7 1 30.0 0.0 180.0 3.59196E-02 1.10401E-03 8.64664E-04 1.96867E-03 8.79792E-04 0.024072 7 4 30.0 45.0 135.0 3.98266E-02 1.09250E-03 9.71806E-04 2.06431E-03 8.70623E-04 0.024401 7 7 30.0 90.0 90.0 5.80532E-02 1.06606E-03 1.70588E-03 2.77194E-03 8.49546E-04 0.029385 6 1 40.0 0.0 180.0 3.40945E-02 1.11706E-03 9.61399E-04 2.07845E-03 8.90187E-04 0.028198 6 4 40.0 45.0 135.0 3.72805E-02 1.10121E-03 1.04270E-03 2.14391E-03 8.77559E-04 0.027969 6 7 40.0 90.0 90.0 5.23412E-02 1.07292E-03 1.51264E-03 2.58556E-03 8.55018E-04 0.028900 5 1 50.0 0.0 180.0 3.57469E-02 1.13392E-03 1.51869E-03 2.65261E-03 9.03625E-04 0.042485 5 4 50.0 45.0 135.0 3.80932E-02 1.11058E-03 1.58220E-03 2.69278E-03 8.85026E-04 0.041535 5 7 50.0 90.0 90.0 5.06353E-02 1.08470E-03 2.04549E-03 3.13018E-03 8.64403E-04 0.040396 4 1 60.0 0.0 180.0 4.24322E-02 1.11970E-03 3.53785E-03 4.65755E-03 8.92297E-04 0.083377 4 4 60.0 45.0 135.0 4.33925E-02 1.09437E-03 3.49356E-03 4.58793E-03 8.72112E-04 0.080511 4 7 60.0 90.0 90.0 5.35840E-02 1.08449E-03 4.07969E-03 5.16418E-03 8.64236E-04 0.076136 3 1 70.0 0.0 180.0 5.88749E-02 1.04117E-03 9.77248E-03 1.08137E-02 8.29717E-04 0.165987 3 4 70.0 45.0 135.0 5.72178E-02 1.02882E-03 9.40294E-03 1.04318E-02 8.19874E-04 0.164336 3 7 70.0 90.0 90.0 6.39682E-02 1.02490E-03 1.02252E-02 1.12502E-02 8.16752E-04 0.159849 2 1 80.0 0.0 180.0 1.00029E-01 8.93952E-04 2.42915E-02 2.51854E-02 7.12395E-04 0.242843 2 4 80.0 45.0 135.0 9.26253E-02 8.81662E-04 2.34949E-02 2.43766E-02 7.02601E-04 0.253655 2 7 80.0 90.0 90.0 9.20240E-02 8.83601E-04 2.46055E-02 2.54891E-02 7.04147E-04 0.267382 1 1 87.5 0.0 180.0 1.61729E-01 7.22413E-04 4.28414E-02 4.35638E-02 5.75695E-04 0.264896 1 4 87.5 45.0 135.0 1.45617E-01 6.79120E-04 4.25769E-02 4.32560E-02 5.41194E-04 0.292389 1 7 87.5 90.0 90.0 1.32480E-01 7.58446E-04 4.35746E-02 4.43331E-02 6.04410E-04 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 665.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 7.995E-03 8.547E-02 1.026E-01 8.841E-02 1.328E-01 6.371E-03 5.522E+00 1.042E-03 8.301E-04 1 0.00 0.00 1.933E-03 1.590E-01 4.210E-03 5.196E-03 8.044E-03 1.586E-03 4.161E+00 3 5.00 5.00 2.347E-04 4.210E-02 4.644E-04 5.838E-04 9.048E-04 3.105E-03 3.884E+00 5 10.00 10.00 6.910E-05 4.127E-03 9.951E-05 1.062E-04 1.216E-04 1.473E-02 3.486E+00 7 15.00 15.00 3.003E-05 3.529E-04 3.918E-05 3.951E-05 4.019E-05 7.432E-02 3.400E+00 9 20.01 20.00 1.384E-05 4.555E-05 1.778E-05 1.779E-05 1.782E-05 1.622E-01 3.389E+00 Waveband 32 of 40 completed in 7.5 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 39.0 m at 675.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 670.0 nm to 680.0 nm: Ed(diffuse) = 3.090E-01 Ed(direct) = 9.226E-01 Ed(total) = 1.232E+00 Absorption Coefficients of Individual Components at 675.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.4480 0.0324 0.0004 0.0132 0.4940 3 5.059 5.000 0.4480 0.0324 0.0004 0.0132 0.4940 5 10.118 10.000 0.4480 0.0324 0.0004 0.0132 0.4940 7 15.177 15.000 0.4480 0.0324 0.0004 0.0132 0.4940 9 20.236 20.000 0.4480 0.0324 0.0004 0.0132 0.4940 Scattering Coefficients of Individual Components at 675.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0008 0.3980 0.0000 0.1190 0.5178 3 5.059 5.000 0.0008 0.3980 0.0000 0.1190 0.5178 5 10.118 10.000 0.0008 0.3980 0.0000 0.1190 0.5178 7 15.177 15.000 0.0008 0.3980 0.0000 0.1190 0.5178 9 20.236 20.000 0.0008 0.3980 0.0000 0.1190 0.5178 Backscattering Coefficients of Individual Components at 675.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00040 0.00398 0.00000 0.00357 0.00795 3 5.059 5.000 0.00040 0.00398 0.00000 0.00357 0.00795 5 10.118 10.000 0.00040 0.00398 0.00000 0.00357 0.00795 7 15.177 15.000 0.00040 0.00398 0.00000 0.00357 0.00795 9 20.236 20.000 0.00040 0.00398 0.00000 0.00357 0.00795 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 0.4940 0.5178 1.0118 0.5117 0.00795 0.01535 3 5.059 5.000 0.4940 0.5178 1.0118 0.5117 0.00795 0.01535 5 10.118 10.000 0.4940 0.5178 1.0118 0.5117 0.00795 0.01535 7 15.177 15.000 0.4940 0.5178 1.0118 0.5117 0.00795 0.01535 9 20.236 20.000 0.4940 0.5178 1.0118 0.5117 0.00795 0.01535 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.3575E-01 8 20.00 5.2474E-01 7 30.00 2.6440E-01 6 40.00 1.1769E-01 5 50.00 5.0716E-02 4 60.00 2.2720E-02 3 70.00 1.1032E-02 2 80.00 5.9119E-03 1 87.50 3.9276E-03 1 92.50 3.0508E-03 2 100.00 2.2336E-03 3 110.00 1.5908E-03 4 120.00 1.2293E-03 5 130.00 1.0239E-03 6 140.00 9.0679E-04 7 150.00 8.4085E-04 8 160.00 8.0508E-04 9 170.00 7.8761E-04 10 180.00 7.8173E-04 Asymptotic AOP values are MUu(inf) = 0.3770 MUd(inf) = 0.8611 MU(inf) = 0.8446 R(inf) = 0.0059 Lu(inf)/Ed(inf) = 0.001314 (1/sr) k(inf) = 0.5849 (1/m) absorp(check) = 0.4940 = 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 1.1749E-01 1.6906E+00 1.8081E+00 4.3933E-02 1.2316E+00 0.3739 0.7285 0.6569 3.5672E-02 1 0.00 0.00 2.2228E-02 1.3396E+00 1.3619E+00 9.2061E-03 1.1968E+00 0.4142 0.8934 0.8721 7.6920E-03 3 5.06 5.00 3.7322E-03 8.0450E-02 8.4182E-02 1.6853E-03 6.7884E-02 0.4515 0.8438 0.7864 2.4826E-02 5 10.12 10.00 1.3524E-03 5.7953E-03 7.1477E-03 6.4289E-04 4.3812E-03 0.4754 0.7560 0.5230 1.4674E-01 7 15.18 15.00 6.1084E-04 1.0298E-03 1.6406E-03 2.9248E-04 6.1268E-04 0.4788 0.5950 0.1952 4.7737E-01 9 20.24 20.00 2.8152E-04 3.9106E-04 6.7258E-04 1.3489E-04 2.1025E-04 0.4792 0.5376 0.1120 6.4158E-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 0.38833 0.52737 0.52510 0.41152 0.56035 0.56150 0.41956 5.000 5.010 5.005 0.26852 0.56415 0.55103 0.24913 0.57425 0.58254 0.22906 10.000 10.010 10.005 0.16985 0.45677 0.40242 0.16615 0.49746 0.55454 0.16263 15.000 15.010 15.005 0.15641 0.24100 0.20949 0.15599 0.28033 0.39404 0.15553 20.000 20.010 20.005 0.15520 0.16590 0.16142 0.15515 0.17319 0.20551 0.15513 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 675.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 8.33768E-02 1.24454E-03 6.82092E-03 8.06546E-03 1.01053E-03 0.081808 9 1 10.0 0.0 180.0 5.14469E-02 1.27235E-03 1.93192E-03 3.20427E-03 1.03311E-03 0.037552 9 4 10.0 45.0 135.0 5.65262E-02 1.26354E-03 2.25124E-03 3.51477E-03 1.02595E-03 0.039826 9 7 10.0 90.0 90.0 7.63717E-02 1.25291E-03 4.85946E-03 6.11236E-03 1.01732E-03 0.063629 8 1 20.0 0.0 180.0 4.04108E-02 1.28704E-03 9.90991E-04 2.27803E-03 1.04504E-03 0.024523 8 4 20.0 45.0 135.0 4.49881E-02 1.26839E-03 1.17356E-03 2.44195E-03 1.02989E-03 0.026086 8 7 20.0 90.0 90.0 6.61529E-02 1.25408E-03 2.77426E-03 4.02835E-03 1.01828E-03 0.041937 7 1 30.0 0.0 180.0 3.50384E-02 1.30667E-03 8.43451E-04 2.15012E-03 1.06097E-03 0.024072 7 4 30.0 45.0 135.0 3.88497E-02 1.29661E-03 9.47996E-04 2.24460E-03 1.05280E-03 0.024402 7 7 30.0 90.0 90.0 5.66278E-02 1.27167E-03 1.66580E-03 2.93747E-03 1.03255E-03 0.029417 6 1 40.0 0.0 180.0 3.32580E-02 1.31772E-03 9.37813E-04 2.25553E-03 1.06995E-03 0.028198 6 4 40.0 45.0 135.0 3.63659E-02 1.30341E-03 1.01712E-03 2.32054E-03 1.05833E-03 0.027969 6 7 40.0 90.0 90.0 5.10571E-02 1.27688E-03 1.47564E-03 2.75252E-03 1.03678E-03 0.028902 5 1 50.0 0.0 180.0 3.48699E-02 1.33384E-03 1.48143E-03 2.81527E-03 1.08304E-03 0.042485 5 4 50.0 45.0 135.0 3.71586E-02 1.31097E-03 1.54338E-03 2.85435E-03 1.06447E-03 0.041535 5 7 50.0 90.0 90.0 4.93930E-02 1.28625E-03 1.99530E-03 3.28155E-03 1.04439E-03 0.040396 4 1 60.0 0.0 180.0 4.13912E-02 1.31329E-03 3.45105E-03 4.76434E-03 1.06635E-03 0.083377 4 4 60.0 45.0 135.0 4.23279E-02 1.28804E-03 3.40785E-03 4.69589E-03 1.04585E-03 0.080511 4 7 60.0 90.0 90.0 5.22694E-02 1.28042E-03 3.97960E-03 5.26002E-03 1.03966E-03 0.076136 3 1 70.0 0.0 180.0 5.74306E-02 1.21694E-03 9.53273E-03 1.07497E-02 9.88115E-04 0.165987 3 4 70.0 45.0 135.0 5.58141E-02 1.20612E-03 9.17225E-03 1.03784E-02 9.79335E-04 0.164336 3 7 70.0 90.0 90.0 6.23988E-02 1.20216E-03 9.97439E-03 1.11765E-02 9.76114E-04 0.159849 2 1 80.0 0.0 180.0 9.75754E-02 1.04119E-03 2.36955E-02 2.47367E-02 8.45415E-04 0.242843 2 4 80.0 45.0 135.0 9.03529E-02 1.02933E-03 2.29185E-02 2.39478E-02 8.35781E-04 0.253655 2 7 80.0 90.0 90.0 8.97663E-02 1.02952E-03 2.40019E-02 2.50314E-02 8.35937E-04 0.267382 1 1 87.5 0.0 180.0 1.57761E-01 8.38074E-04 4.17903E-02 4.26284E-02 6.80490E-04 0.264896 1 4 87.5 45.0 135.0 1.42045E-01 7.89178E-04 4.15323E-02 4.23215E-02 6.40788E-04 0.292389 1 7 87.5 90.0 90.0 1.29229E-01 8.76841E-04 4.25056E-02 4.33825E-02 7.11968E-04 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 675.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 8.065E-03 8.338E-02 1.002E-01 8.631E-02 1.296E-01 6.549E-03 5.447E+00 1.245E-03 1.011E-03 1 0.00 0.00 2.310E-03 1.551E-01 4.648E-03 5.574E-03 8.230E-03 1.930E-03 3.986E+00 3 5.06 5.00 4.682E-04 3.748E-02 7.337E-04 8.326E-04 1.099E-03 6.898E-03 3.599E+00 5 10.12 10.00 1.875E-04 3.534E-03 2.491E-04 2.541E-04 2.656E-04 4.280E-02 3.428E+00 7 15.18 15.00 8.583E-05 3.714E-04 1.111E-04 1.113E-04 1.118E-04 1.401E-01 3.408E+00 9 20.24 20.00 3.960E-05 8.528E-05 5.113E-05 5.114E-05 5.115E-05 1.884E-01 3.406E+00 Waveband 33 of 40 completed in 7.5 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 38.6 m at 685.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 680.0 nm to 690.0 nm: Ed(diffuse) = 2.816E-01 Ed(direct) = 8.472E-01 Ed(total) = 1.129E+00 Absorption Coefficients of Individual Components at 685.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.4860 0.0252 0.0004 0.0102 0.5218 3 5.174 5.000 0.4860 0.0252 0.0004 0.0102 0.5218 5 10.347 10.000 0.4860 0.0252 0.0004 0.0102 0.5218 7 15.521 15.000 0.4860 0.0252 0.0004 0.0102 0.5218 9 20.695 20.000 0.4860 0.0252 0.0004 0.0102 0.5218 Scattering Coefficients of Individual Components at 685.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0007 0.3921 0.0000 0.1200 0.5129 3 5.174 5.000 0.0007 0.3921 0.0000 0.1200 0.5129 5 10.347 10.000 0.0007 0.3921 0.0000 0.1200 0.5129 7 15.521 15.000 0.0007 0.3921 0.0000 0.1200 0.5129 9 20.695 20.000 0.0007 0.3921 0.0000 0.1200 0.5129 Backscattering Coefficients of Individual Components at 685.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00037 0.00392 0.00000 0.00360 0.00789 3 5.174 5.000 0.00037 0.00392 0.00000 0.00360 0.00789 5 10.347 10.000 0.00037 0.00392 0.00000 0.00360 0.00789 7 15.521 15.000 0.00037 0.00392 0.00000 0.00360 0.00789 9 20.695 20.000 0.00037 0.00392 0.00000 0.00360 0.00789 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 0.5218 0.5129 1.0347 0.4957 0.00789 0.01539 3 5.174 5.000 0.5218 0.5129 1.0347 0.4957 0.00789 0.01539 5 10.347 10.000 0.5218 0.5129 1.0347 0.4957 0.00789 0.01539 7 15.521 15.000 0.5218 0.5129 1.0347 0.4957 0.00789 0.01539 9 20.695 20.000 0.5218 0.5129 1.0347 0.4957 0.00789 0.01539 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.2923E-01 8 20.00 5.1082E-01 7 30.00 2.5121E-01 6 40.00 1.0926E-01 5 50.00 4.6255E-02 4 60.00 2.0497E-02 3 70.00 9.8994E-03 2 80.00 5.2944E-03 1 87.50 3.5163E-03 1 92.50 2.7332E-03 2 100.00 2.0022E-03 3 110.00 1.4274E-03 4 120.00 1.1047E-03 5 130.00 9.2169E-04 6 140.00 8.1772E-04 7 150.00 7.5941E-04 8 160.00 7.2794E-04 9 170.00 7.1266E-04 10 180.00 7.0753E-04 Asymptotic AOP values are MUu(inf) = 0.3778 MUd(inf) = 0.8654 MU(inf) = 0.8499 R(inf) = 0.0055 Lu(inf)/Ed(inf) = 0.001232 (1/sr) k(inf) = 0.6140 (1/m) absorp(check) = 0.5219 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 685.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.0821E-01 1.5481E+00 1.6563E+00 4.0702E-02 1.1288E+00 0.3761 0.7291 0.6569 3.6058E-02 1 0.00 0.00 2.2223E-02 1.2291E+00 1.2514E+00 9.3976E-03 1.0975E+00 0.4229 0.8929 0.8695 8.5628E-03 3 5.17 5.00 4.5397E-03 6.5131E-02 6.9670E-02 2.1037E-03 5.4425E-02 0.4634 0.8356 0.7510 3.8653E-02 5 10.35 10.00 1.8454E-03 5.1132E-03 6.9585E-03 8.8274E-04 3.5920E-03 0.4784 0.7025 0.3893 2.4575E-01 7 15.52 15.00 8.4884E-04 1.2452E-03 2.0940E-03 4.0732E-04 6.9577E-04 0.4799 0.5588 0.1377 5.8543E-01 9 20.69 20.00 3.9175E-04 5.2643E-04 9.1817E-04 1.8802E-04 2.7906E-04 0.4799 0.5301 0.0992 6.7375E-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 0.38221 0.55794 0.55482 0.39367 0.59010 0.59180 0.39145 5.000 5.010 5.005 0.22756 0.57849 0.55559 0.21330 0.59434 0.60969 0.19914 10.000 10.010 10.005 0.16121 0.39863 0.33561 0.15936 0.45475 0.55118 0.15755 15.000 15.010 15.005 0.15550 0.19698 0.18016 0.15530 0.22166 0.31545 0.15507 20.000 20.010 20.005 0.15525 0.15870 0.15723 0.15525 0.16171 0.17505 0.15527 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 685.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 7.59819E-02 1.30570E-03 6.24883E-03 7.55454E-03 1.15672E-03 0.082241 9 1 10.0 0.0 180.0 4.68840E-02 1.33166E-03 1.76499E-03 3.09665E-03 1.17971E-03 0.037646 9 4 10.0 45.0 135.0 5.15128E-02 1.32340E-03 2.05725E-03 3.38065E-03 1.17240E-03 0.039937 9 7 10.0 90.0 90.0 6.95981E-02 1.31435E-03 4.44880E-03 5.76315E-03 1.16438E-03 0.063921 8 1 20.0 0.0 180.0 3.68267E-02 1.34468E-03 9.03321E-04 2.24800E-03 1.19125E-03 0.024529 8 4 20.0 45.0 135.0 4.09980E-02 1.32684E-03 1.07005E-03 2.39689E-03 1.17544E-03 0.026100 8 7 20.0 90.0 90.0 6.02856E-02 1.31510E-03 2.53594E-03 3.85104E-03 1.16504E-03 0.042065 7 1 30.0 0.0 180.0 3.19307E-02 1.36286E-03 7.68643E-04 2.13150E-03 1.20735E-03 0.024072 7 4 30.0 45.0 135.0 3.54042E-02 1.35465E-03 8.63944E-04 2.21859E-03 1.20008E-03 0.024402 7 7 30.0 90.0 90.0 5.16043E-02 1.33270E-03 1.51958E-03 2.85228E-03 1.18064E-03 0.029447 6 1 40.0 0.0 180.0 3.03083E-02 1.37148E-03 8.54636E-04 2.22612E-03 1.21499E-03 0.028198 6 4 40.0 45.0 135.0 3.31405E-02 1.35942E-03 9.26912E-04 2.28633E-03 1.20430E-03 0.027969 6 7 40.0 90.0 90.0 4.65287E-02 1.33617E-03 1.34486E-03 2.68103E-03 1.18371E-03 0.028904 5 1 50.0 0.0 180.0 3.17773E-02 1.38576E-03 1.35004E-03 2.73580E-03 1.22764E-03 0.042485 5 4 50.0 45.0 135.0 3.38629E-02 1.36496E-03 1.40649E-03 2.77145E-03 1.20921E-03 0.041535 5 7 50.0 90.0 90.0 4.50123E-02 1.34292E-03 1.81834E-03 3.16125E-03 1.18969E-03 0.040396 4 1 60.0 0.0 180.0 3.77201E-02 1.36188E-03 3.14497E-03 4.50685E-03 1.20648E-03 0.083377 4 4 60.0 45.0 135.0 3.85738E-02 1.33856E-03 3.10560E-03 4.44416E-03 1.18583E-03 0.080511 4 7 60.0 90.0 90.0 4.76335E-02 1.33317E-03 3.62664E-03 4.95981E-03 1.18105E-03 0.076136 3 1 70.0 0.0 180.0 5.23369E-02 1.25915E-03 8.68725E-03 9.94640E-03 1.11548E-03 0.165987 3 4 70.0 45.0 135.0 5.08638E-02 1.25030E-03 8.35874E-03 9.60904E-03 1.10764E-03 0.164336 3 7 70.0 90.0 90.0 5.68645E-02 1.24651E-03 9.08974E-03 1.03362E-02 1.10428E-03 0.159849 2 1 80.0 0.0 180.0 8.89212E-02 1.07489E-03 2.15939E-02 2.26688E-02 9.52238E-04 0.242843 2 4 80.0 45.0 135.0 8.23393E-02 1.06421E-03 2.08858E-02 2.19500E-02 9.42782E-04 0.253655 2 7 80.0 90.0 90.0 8.18047E-02 1.06297E-03 2.18731E-02 2.29361E-02 9.41687E-04 0.267382 1 1 87.5 0.0 180.0 1.43769E-01 8.63004E-04 3.80839E-02 3.89469E-02 7.64534E-04 0.264896 1 4 87.5 45.0 135.0 1.29447E-01 8.13503E-04 3.78487E-02 3.86622E-02 7.20680E-04 0.292389 1 7 87.5 90.0 90.0 1.17768E-01 9.00824E-04 3.87357E-02 3.96365E-02 7.98038E-04 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 685.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 7.555E-03 7.598E-02 9.136E-02 7.870E-02 1.181E-01 6.693E-03 5.388E+00 1.306E-03 1.157E-03 1 0.00 0.00 2.423E-03 1.414E-01 4.634E-03 5.443E-03 7.753E-03 2.208E-03 3.878E+00 3 5.17 5.00 6.003E-04 2.999E-02 8.604E-04 9.331E-04 1.129E-03 1.103E-02 3.505E+00 5 10.35 10.00 2.592E-04 2.643E-03 3.351E-04 3.382E-04 3.454E-04 7.216E-02 3.406E+00 7 15.52 15.00 1.199E-04 3.389E-04 1.534E-04 1.535E-04 1.537E-04 1.723E-01 3.398E+00 9 20.69 20.00 5.533E-05 1.046E-04 7.075E-05 7.076E-05 7.077E-05 1.983E-01 3.398E+00 Waveband 34 of 40 completed in 7.7 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 37.7 m at 695.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 690.0 nm to 700.0 nm: Ed(diffuse) = 2.700E-01 Ed(direct) = 8.188E-01 Ed(total) = 1.089E+00 Absorption Coefficients of Individual Components at 695.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.5590 0.0156 0.0003 0.0063 0.5813 3 5.453 5.000 0.5590 0.0156 0.0003 0.0063 0.5813 5 10.905 10.000 0.5590 0.0156 0.0003 0.0063 0.5813 7 16.358 15.000 0.5590 0.0156 0.0003 0.0063 0.5813 9 21.810 20.000 0.5590 0.0156 0.0003 0.0063 0.5813 Scattering Coefficients of Individual Components at 695.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0007 0.3865 0.0000 0.1220 0.5093 3 5.453 5.000 0.0007 0.3865 0.0000 0.1220 0.5093 5 10.905 10.000 0.0007 0.3865 0.0000 0.1220 0.5093 7 16.358 15.000 0.0007 0.3865 0.0000 0.1220 0.5093 9 21.810 20.000 0.0007 0.3865 0.0000 0.1220 0.5093 Backscattering Coefficients of Individual Components at 695.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00035 0.00387 0.00000 0.00366 0.00787 3 5.453 5.000 0.00035 0.00387 0.00000 0.00366 0.00787 5 10.905 10.000 0.00035 0.00387 0.00000 0.00366 0.00787 7 16.358 15.000 0.00035 0.00387 0.00000 0.00366 0.00787 9 21.810 20.000 0.00035 0.00387 0.00000 0.00366 0.00787 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 0.5813 0.5093 1.0905 0.4670 0.00787 0.01546 3 5.453 5.000 0.5813 0.5093 1.0905 0.4670 0.00787 0.01546 5 10.905 10.000 0.5813 0.5093 1.0905 0.4670 0.00787 0.01546 7 16.358 15.000 0.5813 0.5093 1.0905 0.4670 0.00787 0.01546 9 21.810 20.000 0.5813 0.5093 1.0905 0.4670 0.00787 0.01546 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.1679E-01 8 20.00 4.8515E-01 7 30.00 2.2793E-01 6 40.00 9.5003E-02 5 50.00 3.8974E-02 4 60.00 1.6955E-02 3 70.00 8.1203E-03 2 80.00 4.3309E-03 1 87.50 2.8763E-03 1 92.50 2.2389E-03 2 100.00 1.6423E-03 3 110.00 1.1733E-03 4 120.00 9.1070E-04 5 130.00 7.6243E-04 6 140.00 6.7865E-04 7 150.00 6.3206E-04 8 160.00 6.0717E-04 9 170.00 5.9521E-04 10 180.00 5.9121E-04 Asymptotic AOP values are MUu(inf) = 0.3793 MUd(inf) = 0.8730 MU(inf) = 0.8592 R(inf) = 0.0049 Lu(inf)/Ed(inf) = 0.001099 (1/sr) k(inf) = 0.6766 (1/m) absorp(check) = 0.5813 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 695.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.0236E-01 1.4919E+00 1.5943E+00 3.8326E-02 1.0888E+00 0.3744 0.7298 0.6589 3.5201E-02 1 0.00 0.00 1.7233E-02 1.1822E+00 1.1994E+00 7.1713E-03 1.0576E+00 0.4161 0.8946 0.8758 6.7805E-03 3 5.45 5.00 2.7338E-03 4.4469E-02 4.7202E-02 1.2703E-03 3.7494E-02 0.4646 0.8431 0.7674 3.3879E-02 5 10.91 10.00 1.1001E-03 2.7491E-03 3.8492E-03 5.2888E-04 1.8999E-03 0.4808 0.6911 0.3562 2.7837E-01 7 16.36 15.00 5.0830E-04 6.9834E-04 1.2066E-03 2.4494E-04 3.8061E-04 0.4819 0.5450 0.1124 6.4354E-01 9 21.81 20.00 2.3486E-04 3.0496E-04 5.3982E-04 1.1318E-04 1.6025E-04 0.4819 0.5255 0.0872 7.0628E-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 0.45571 0.62493 0.62250 0.47155 0.65665 0.65792 0.47086 5.000 5.010 5.005 0.24116 0.64549 0.62203 0.22435 0.66077 0.67611 0.20774 10.000 10.010 10.005 0.15986 0.41199 0.33987 0.15826 0.47856 0.60238 0.15670 15.000 15.010 15.005 0.15497 0.18450 0.17205 0.15497 0.20428 0.29337 0.15482 20.000 20.010 20.005 0.15512 0.15627 0.15577 0.15513 0.15789 0.16453 0.15514 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 695.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 7.28671E-02 9.80255E-04 6.02455E-03 7.00480E-03 9.00320E-04 0.082679 9 1 10.0 0.0 180.0 4.49620E-02 1.00167E-03 1.69691E-03 2.69858E-03 9.19985E-04 0.037741 9 4 10.0 45.0 135.0 4.94011E-02 9.94830E-04 1.97842E-03 2.97325E-03 9.13706E-04 0.040048 9 7 10.0 90.0 90.0 6.67449E-02 9.86636E-04 4.28615E-03 5.27279E-03 9.06181E-04 0.064217 8 1 20.0 0.0 180.0 3.53170E-02 1.01264E-03 8.66506E-04 1.87914E-03 9.30062E-04 0.024535 8 4 20.0 45.0 135.0 3.93173E-02 9.98130E-04 1.02674E-03 2.02487E-03 9.16738E-04 0.026114 8 7 20.0 90.0 90.0 5.78143E-02 9.87108E-04 2.43949E-03 3.42659E-03 9.06614E-04 0.042195 7 1 30.0 0.0 180.0 3.06217E-02 1.02737E-03 7.37133E-04 1.76451E-03 9.43597E-04 0.024072 7 4 30.0 45.0 135.0 3.39530E-02 1.01968E-03 8.28554E-04 1.84824E-03 9.36534E-04 0.024403 7 7 30.0 90.0 90.0 4.94878E-02 1.00031E-03 1.45876E-03 2.45907E-03 9.18736E-04 0.029477 6 1 40.0 0.0 180.0 2.90658E-02 1.03496E-03 8.19600E-04 1.85456E-03 9.50564E-04 0.028198 6 4 40.0 45.0 135.0 3.17819E-02 1.02396E-03 8.88913E-04 1.91288E-03 9.40466E-04 0.027969 6 7 40.0 90.0 90.0 4.46213E-02 1.00319E-03 1.28983E-03 2.29301E-03 9.21383E-04 0.028906 5 1 50.0 0.0 180.0 3.04746E-02 1.04654E-03 1.29470E-03 2.34124E-03 9.61204E-04 0.042485 5 4 50.0 45.0 135.0 3.24747E-02 1.02880E-03 1.34884E-03 2.37763E-03 9.44905E-04 0.041535 5 7 50.0 90.0 90.0 4.31670E-02 1.00915E-03 1.74379E-03 2.75294E-03 9.26855E-04 0.040396 4 1 60.0 0.0 180.0 3.61738E-02 1.02931E-03 3.01605E-03 4.04536E-03 9.45379E-04 0.083377 4 4 60.0 45.0 135.0 3.69924E-02 1.00965E-03 2.97829E-03 3.98793E-03 9.27314E-04 0.080511 4 7 60.0 90.0 90.0 4.56808E-02 1.00305E-03 3.47797E-03 4.48102E-03 9.21256E-04 0.076136 3 1 70.0 0.0 180.0 5.01914E-02 9.52608E-04 8.33112E-03 9.28373E-03 8.74928E-04 0.165987 3 4 70.0 45.0 135.0 4.87787E-02 9.44139E-04 8.01608E-03 8.96022E-03 8.67149E-04 0.164336 3 7 70.0 90.0 90.0 5.45334E-02 9.39928E-04 8.71711E-03 9.65704E-03 8.63282E-04 0.159849 2 1 80.0 0.0 180.0 8.52759E-02 8.14069E-04 2.07087E-02 2.15228E-02 7.47686E-04 0.242843 2 4 80.0 45.0 135.0 7.89638E-02 8.04666E-04 2.00296E-02 2.08343E-02 7.39050E-04 0.253655 2 7 80.0 90.0 90.0 7.84512E-02 8.03483E-04 2.09764E-02 2.17799E-02 7.37963E-04 0.267382 1 1 87.5 0.0 180.0 1.37875E-01 6.54467E-04 3.65226E-02 3.71771E-02 6.01099E-04 0.264896 1 4 87.5 45.0 135.0 1.24140E-01 6.16106E-04 3.62971E-02 3.69133E-02 5.65866E-04 0.292389 1 7 87.5 90.0 90.0 1.12940E-01 6.83027E-04 3.71477E-02 3.78308E-02 6.27330E-04 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 695.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 7.005E-03 7.287E-02 8.753E-02 7.539E-02 1.132E-01 6.434E-03 5.471E+00 9.803E-04 9.003E-04 1 0.00 0.00 1.819E-03 1.356E-01 3.625E-03 4.330E-03 6.361E-03 1.720E-03 3.942E+00 3 5.45 5.00 3.648E-04 2.113E-02 5.143E-04 5.589E-04 6.785E-04 9.731E-03 3.482E+00 5 10.91 10.00 1.567E-04 1.399E-03 1.971E-04 1.984E-04 2.016E-04 8.246E-02 3.376E+00 7 16.36 15.00 7.267E-05 1.696E-04 9.069E-05 9.073E-05 9.081E-05 1.909E-01 3.371E+00 9 21.81 20.00 3.357E-05 5.794E-05 4.190E-05 4.190E-05 4.191E-05 2.095E-01 3.371E+00 Waveband 35 of 40 completed in 8.0 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 35.9 m at 705.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 700.0 nm to 710.0 nm: Ed(diffuse) = 2.706E-01 Ed(direct) = 8.263E-01 Ed(total) = 1.097E+00 Absorption Coefficients of Individual Components at 705.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.7040 0.0096 0.0003 0.0039 0.7178 3 6.111 5.000 0.7040 0.0096 0.0003 0.0039 0.7178 5 12.221 10.000 0.7040 0.0096 0.0003 0.0039 0.7178 7 18.332 15.000 0.7040 0.0096 0.0003 0.0039 0.7178 9 24.443 20.000 0.7040 0.0096 0.0003 0.0039 0.7178 Scattering Coefficients of Individual Components at 705.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0007 0.3810 0.0000 0.1227 0.5043 3 6.111 5.000 0.0007 0.3810 0.0000 0.1227 0.5043 5 12.221 10.000 0.0007 0.3810 0.0000 0.1227 0.5043 7 18.332 15.000 0.0007 0.3810 0.0000 0.1227 0.5043 9 24.443 20.000 0.0007 0.3810 0.0000 0.1227 0.5043 Backscattering Coefficients of Individual Components at 705.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00033 0.00381 0.00000 0.00368 0.00782 3 6.111 5.000 0.00033 0.00381 0.00000 0.00368 0.00782 5 12.221 10.000 0.00033 0.00381 0.00000 0.00368 0.00782 7 18.332 15.000 0.00033 0.00381 0.00000 0.00368 0.00782 9 24.443 20.000 0.00033 0.00381 0.00000 0.00368 0.00782 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 0.7178 0.5043 1.2221 0.4127 0.00782 0.01550 3 6.111 5.000 0.7178 0.5043 1.2221 0.4127 0.00782 0.01550 5 12.221 10.000 0.7178 0.5043 1.2221 0.4127 0.00782 0.01550 7 18.332 15.000 0.7178 0.5043 1.2221 0.4127 0.00782 0.01550 9 24.443 20.000 0.7178 0.5043 1.2221 0.4127 0.00782 0.01550 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 7.8992E-01 8 20.00 4.3349E-01 7 30.00 1.8507E-01 6 40.00 7.0854E-02 5 50.00 2.7406E-02 4 60.00 1.1553E-02 3 70.00 5.4650E-03 2 80.00 2.9062E-03 1 87.50 1.9319E-03 1 92.50 1.5085E-03 2 100.00 1.1096E-03 3 110.00 7.9619E-04 4 120.00 6.2170E-04 5 130.00 5.2389E-04 6 140.00 4.6928E-04 7 150.00 4.3943E-04 8 160.00 4.2384E-04 9 170.00 4.1652E-04 10 180.00 4.1410E-04 Asymptotic AOP values are MUu(inf) = 0.3823 MUd(inf) = 0.8871 MU(inf) = 0.8760 R(inf) = 0.0038 Lu(inf)/Ed(inf) = 0.000878 (1/sr) k(inf) = 0.8195 (1/m) absorp(check) = 0.7179 = 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 1.0045E-01 1.5018E+00 1.6023E+00 3.7323E-02 1.0969E+00 0.3716 0.7304 0.6613 3.4025E-02 1 0.00 0.00 1.1323E-02 1.1862E+00 1.1975E+00 4.5331E-03 1.0641E+00 0.4003 0.8971 0.8848 4.2599E-03 3 6.11 5.00 7.4817E-04 2.0235E-02 2.0983E-02 3.4536E-04 1.7432E-02 0.4616 0.8615 0.8143 1.9811E-02 5 12.22 10.00 2.7819E-04 6.4032E-04 9.1851E-04 1.3499E-04 4.4022E-04 0.4853 0.6875 0.3323 3.0664E-01 7 18.33 15.00 1.2921E-04 1.6348E-04 2.9269E-04 6.2798E-05 8.6658E-05 0.4860 0.5301 0.0815 7.2467E-01 9 24.44 20.00 5.9790E-05 7.3754E-05 1.3354E-04 2.9055E-05 3.8383E-05 0.4860 0.5204 0.0699 7.5697E-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 0.65581 0.77891 0.77774 0.68832 0.80906 0.80957 0.70162 5.000 5.010 5.005 0.30866 0.80724 0.78942 0.28046 0.81769 0.82858 0.25228 10.000 10.010 10.005 0.15877 0.47014 0.37574 0.15735 0.55861 0.73659 0.15599 15.000 15.010 15.005 0.15462 0.17011 0.16327 0.15460 0.18304 0.25794 0.15452 20.000 20.010 20.005 0.15502 0.15428 0.15461 0.15500 0.15478 0.15408 0.15504 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 7.30170E-02 5.93596E-04 6.06697E-03 6.66057E-03 5.41148E-04 0.083090 9 1 10.0 0.0 180.0 4.50545E-02 6.09656E-04 1.70444E-03 2.31409E-03 5.55788E-04 0.037831 9 4 10.0 45.0 135.0 4.95027E-02 6.04509E-04 1.98768E-03 2.59218E-03 5.51096E-04 0.040153 9 7 10.0 90.0 90.0 6.68822E-02 5.97355E-04 4.31355E-03 4.91090E-03 5.44574E-04 0.064495 8 1 20.0 0.0 180.0 3.53897E-02 6.18309E-04 8.68492E-04 1.48680E-03 5.63677E-04 0.024541 8 4 20.0 45.0 135.0 3.93982E-02 6.07771E-04 1.02938E-03 1.63716E-03 5.54069E-04 0.026128 8 7 20.0 90.0 90.0 5.79332E-02 5.97619E-04 2.45157E-03 3.04919E-03 5.44815E-04 0.042317 7 1 30.0 0.0 180.0 3.06847E-02 6.29107E-04 7.38649E-04 1.36776E-03 5.73521E-04 0.024072 7 4 30.0 45.0 135.0 3.40230E-02 6.22058E-04 8.30284E-04 1.45234E-03 5.67094E-04 0.024404 7 7 30.0 90.0 90.0 4.95886E-02 6.05746E-04 1.46315E-03 2.06890E-03 5.52223E-04 0.029506 6 1 40.0 0.0 180.0 2.91256E-02 6.35727E-04 8.21286E-04 1.45701E-03 5.79556E-04 0.028198 6 4 40.0 45.0 135.0 3.18473E-02 6.26027E-04 8.90742E-04 1.51677E-03 5.70712E-04 0.027969 6 7 40.0 90.0 90.0 4.47131E-02 6.08203E-04 1.29257E-03 1.90077E-03 5.54463E-04 0.028908 5 1 50.0 0.0 180.0 3.05372E-02 6.44371E-04 1.29736E-03 1.94173E-03 5.87436E-04 0.042485 5 4 50.0 45.0 135.0 3.25416E-02 6.30272E-04 1.35161E-03 1.98188E-03 5.74582E-04 0.041535 5 7 50.0 90.0 90.0 4.32558E-02 6.13452E-04 1.74738E-03 2.36083E-03 5.59248E-04 0.040396 4 1 60.0 0.0 180.0 3.62482E-02 6.35285E-04 3.02225E-03 3.65753E-03 5.79152E-04 0.083377 4 4 60.0 45.0 135.0 3.70685E-02 6.19954E-04 2.98442E-03 3.60437E-03 5.65176E-04 0.080511 4 7 60.0 90.0 90.0 4.57748E-02 6.11902E-04 3.48512E-03 4.09702E-03 5.57836E-04 0.076136 3 1 70.0 0.0 180.0 5.02946E-02 5.89646E-04 8.34826E-03 8.93790E-03 5.37546E-04 0.165987 3 4 70.0 45.0 135.0 4.88790E-02 5.81640E-04 8.03257E-03 8.61421E-03 5.30248E-04 0.164336 3 7 70.0 90.0 90.0 5.46456E-02 5.76861E-04 8.73504E-03 9.31190E-03 5.25891E-04 0.159849 2 1 80.0 0.0 180.0 8.54513E-02 5.05425E-04 2.07513E-02 2.12567E-02 4.60767E-04 0.242843 2 4 80.0 45.0 135.0 7.91262E-02 4.97528E-04 2.00708E-02 2.05683E-02 4.53568E-04 0.253655 2 7 80.0 90.0 90.0 7.86126E-02 4.96307E-04 2.10196E-02 2.15159E-02 4.52454E-04 0.267382 1 1 87.5 0.0 180.0 1.38159E-01 4.07812E-04 3.65978E-02 3.70056E-02 3.71778E-04 0.264896 1 4 87.5 45.0 135.0 1.24395E-01 3.82619E-04 3.63718E-02 3.67544E-02 3.48812E-04 0.292389 1 7 87.5 90.0 90.0 1.13172E-01 4.25285E-04 3.72242E-02 3.76494E-02 3.87708E-04 0.328916 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 6.661E-03 7.302E-02 8.758E-02 7.541E-02 1.133E-01 6.072E-03 5.604E+00 5.936E-04 5.411E-04 1 0.00 0.00 1.102E-03 1.358E-01 2.444E-03 3.023E-03 4.724E-03 1.035E-03 4.115E+00 3 6.11 5.00 9.957E-05 1.036E-02 1.413E-04 1.578E-04 2.018E-04 5.712E-03 3.468E+00 5 12.22 10.00 4.075E-05 3.407E-04 4.860E-05 4.884E-05 4.937E-05 9.256E-02 3.313E+00 7 18.33 15.00 1.897E-05 3.452E-05 2.251E-05 2.251E-05 2.252E-05 2.189E-01 3.311E+00 9 24.44 20.00 8.773E-06 1.342E-05 1.042E-05 1.042E-05 1.042E-05 2.286E-01 3.312E+00 Waveband 36 of 40 completed in 8.8 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 32.9 m at 715.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 710.0 nm to 720.0 nm: Ed(diffuse) = 2.466E-01 Ed(direct) = 7.579E-01 Ed(total) = 1.004E+00 Absorption Coefficients of Individual Components at 715.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 1.0070 0.0042 0.0003 0.0017 1.0132 3 7.563 5.000 1.0070 0.0042 0.0003 0.0017 1.0132 5 15.126 10.000 1.0070 0.0042 0.0003 0.0017 1.0132 7 22.688 15.000 1.0070 0.0042 0.0003 0.0017 1.0132 9 30.251 20.000 1.0070 0.0042 0.0003 0.0017 1.0132 Scattering Coefficients of Individual Components at 715.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0006 0.3757 0.0000 0.1231 0.4994 3 7.563 5.000 0.0006 0.3757 0.0000 0.1231 0.4994 5 15.126 10.000 0.0006 0.3757 0.0000 0.1231 0.4994 7 22.688 15.000 0.0006 0.3757 0.0000 0.1231 0.4994 9 30.251 20.000 0.0006 0.3757 0.0000 0.1231 0.4994 Backscattering Coefficients of Individual Components at 715.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00031 0.00376 0.00000 0.00369 0.00776 3 7.563 5.000 0.00031 0.00376 0.00000 0.00369 0.00776 5 15.126 10.000 0.00031 0.00376 0.00000 0.00369 0.00776 7 22.688 15.000 0.00031 0.00376 0.00000 0.00369 0.00776 9 30.251 20.000 0.00031 0.00376 0.00000 0.00369 0.00776 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 1.0132 0.4994 1.5126 0.3302 0.00776 0.01553 3 7.563 5.000 1.0132 0.4994 1.5126 0.3302 0.00776 0.01553 5 15.126 10.000 1.0132 0.4994 1.5126 0.3302 0.00776 0.01553 7 22.688 15.000 1.0132 0.4994 1.5126 0.3302 0.00776 0.01553 9 30.251 20.000 1.0132 0.4994 1.5126 0.3302 0.00776 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 7.3829E-01 8 20.00 3.4789E-01 7 30.00 1.2525E-01 6 40.00 4.1826E-02 5 50.00 1.4911E-02 4 60.00 6.0708E-03 3 70.00 2.8470E-03 2 80.00 1.5164E-03 1 87.50 1.0120E-03 1 92.50 7.9446E-04 2 100.00 5.8734E-04 3 110.00 4.2453E-04 4 120.00 3.3455E-04 5 130.00 2.8470E-04 6 140.00 2.5742E-04 7 150.00 2.4296E-04 8 160.00 2.3571E-04 9 170.00 2.3246E-04 10 180.00 2.3141E-04 Asymptotic AOP values are MUu(inf) = 0.3871 MUd(inf) = 0.9073 MU(inf) = 0.8995 R(inf) = 0.0026 Lu(inf)/Ed(inf) = 0.000613 (1/sr) k(inf) = 1.1265 (1/m) absorp(check) = 1.0133 = 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 9.0427E-02 1.3742E+00 1.4646E+00 3.3468E-02 1.0045E+00 0.3701 0.7310 0.6630 3.3319E-02 1 0.00 0.00 6.6808E-03 1.0832E+00 1.0899E+00 2.6151E-03 9.7362E-01 0.3914 0.8988 0.8909 2.6860E-03 3 7.56 5.00 1.0495E-04 3.5782E-03 3.6831E-03 4.9613E-05 3.1372E-03 0.4727 0.8768 0.8383 1.5814E-02 5 15.13 10.00 3.9928E-05 5.7141E-05 9.7069E-05 1.9757E-05 3.3742E-05 0.4948 0.5905 0.1441 5.8553E-01 7 22.69 15.00 1.8463E-05 2.1512E-05 3.9975E-05 9.1278E-06 1.1177E-05 0.4944 0.5196 0.0513 8.1664E-01 9 30.25 20.00 8.4316E-06 9.8266E-06 1.8258E-05 4.1657E-06 5.0994E-06 0.4941 0.5189 0.0511 8.1690E-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 1.02692 1.11091 1.11040 1.06640 1.13682 1.13701 1.08879 5.000 5.010 5.005 0.35479 1.12581 1.10376 0.31575 1.13660 1.14984 0.27671 10.000 10.010 10.005 0.15618 0.33791 0.26311 0.15603 0.43585 0.83249 0.15614 15.000 15.010 15.005 0.15716 0.15467 0.15582 0.15731 0.15602 0.15029 0.15761 20.000 20.010 20.005 0.15771 0.15630 0.15695 0.15778 0.15644 0.15043 0.15806 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 6.65321E-02 3.35235E-04 5.55348E-03 5.88871E-03 3.33741E-04 0.083471 9 1 10.0 0.0 180.0 4.10531E-02 3.45478E-04 1.55646E-03 1.90194E-03 3.43939E-04 0.037913 9 4 10.0 45.0 135.0 4.51062E-02 3.42182E-04 1.81552E-03 2.15770E-03 3.40657E-04 0.040250 9 7 10.0 90.0 90.0 6.09422E-02 3.37273E-04 3.94612E-03 4.28340E-03 3.35770E-04 0.064752 8 1 20.0 0.0 180.0 3.22466E-02 3.51071E-04 7.91531E-04 1.14260E-03 3.49507E-04 0.024546 8 4 20.0 45.0 135.0 3.58992E-02 3.44441E-04 9.38408E-04 1.28285E-03 3.42906E-04 0.026140 8 7 20.0 90.0 90.0 5.27880E-02 3.37313E-04 2.23980E-03 2.57711E-03 3.35810E-04 0.042430 7 1 30.0 0.0 180.0 2.79595E-02 3.57795E-04 6.73047E-04 1.03084E-03 3.56201E-04 0.024072 7 4 30.0 45.0 135.0 3.10015E-02 3.52884E-04 7.56566E-04 1.10945E-03 3.51311E-04 0.024404 7 7 30.0 90.0 90.0 4.51837E-02 3.41807E-04 1.33438E-03 1.67618E-03 3.40285E-04 0.029532 6 1 40.0 0.0 180.0 2.65389E-02 3.62142E-04 7.48345E-04 1.11049E-03 3.60528E-04 0.028198 6 4 40.0 45.0 135.0 2.90189E-02 3.55468E-04 8.11633E-04 1.16710E-03 3.53884E-04 0.027969 6 7 40.0 90.0 90.0 4.07420E-02 3.43189E-04 1.17785E-03 1.52104E-03 3.41660E-04 0.028910 5 1 50.0 0.0 180.0 2.78252E-02 3.67458E-04 1.18214E-03 1.54960E-03 3.65821E-04 0.042485 5 4 50.0 45.0 135.0 2.96514E-02 3.58159E-04 1.23157E-03 1.58973E-03 3.56563E-04 0.041535 5 7 50.0 90.0 90.0 3.94141E-02 3.46451E-04 1.59219E-03 1.93864E-03 3.44908E-04 0.040396 4 1 60.0 0.0 180.0 3.30289E-02 3.62652E-04 2.75384E-03 3.11649E-03 3.61036E-04 0.083377 4 4 60.0 45.0 135.0 3.37764E-02 3.52606E-04 2.71936E-03 3.07197E-03 3.51035E-04 0.080511 4 7 60.0 90.0 90.0 4.17094E-02 3.46043E-04 3.17560E-03 3.52164E-03 3.44501E-04 0.076136 3 1 70.0 0.0 180.0 4.58278E-02 3.37010E-04 7.60683E-03 7.94384E-03 3.35509E-04 0.165987 3 4 70.0 45.0 135.0 4.45379E-02 3.31267E-04 7.31918E-03 7.65044E-03 3.29791E-04 0.164336 3 7 70.0 90.0 90.0 4.97924E-02 3.27120E-04 7.95926E-03 8.28638E-03 3.25662E-04 0.159849 2 1 80.0 0.0 180.0 7.78622E-02 2.89258E-04 1.89083E-02 1.91976E-02 2.87969E-04 0.242843 2 4 80.0 45.0 135.0 7.20988E-02 2.83817E-04 1.82883E-02 1.85721E-02 2.82552E-04 0.253655 2 7 80.0 90.0 90.0 7.16308E-02 2.82302E-04 1.91528E-02 1.94351E-02 2.81044E-04 0.267382 1 1 87.5 0.0 180.0 1.25889E-01 2.33784E-04 3.33474E-02 3.35812E-02 2.32742E-04 0.264896 1 4 87.5 45.0 135.0 1.13347E-01 2.18719E-04 3.31415E-02 3.33603E-02 2.17744E-04 0.292389 1 7 87.5 90.0 90.0 1.03121E-01 2.42875E-04 3.39182E-02 3.41611E-02 2.41793E-04 0.328916 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 5.889E-03 6.653E-02 7.974E-02 6.864E-02 1.031E-01 5.862E-03 5.683E+00 3.352E-04 3.337E-04 1 0.00 0.00 6.222E-04 1.238E-01 1.500E-03 1.887E-03 3.041E-03 6.390E-04 4.203E+00 3 7.56 5.00 1.506E-05 2.054E-03 1.895E-05 2.094E-05 2.619E-05 4.799E-03 3.295E+00 5 15.13 10.00 6.242E-06 2.041E-05 6.652E-06 6.658E-06 6.670E-06 1.850E-01 3.165E+00 7 22.69 15.00 2.875E-06 3.932E-06 3.083E-06 3.083E-06 3.083E-06 2.573E-01 3.174E+00 9 30.25 20.00 1.310E-06 1.773E-06 1.410E-06 1.410E-06 1.410E-06 2.569E-01 3.180E+00 Waveband 37 of 40 completed in 10.6 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 29.9 m at 725.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 720.0 nm to 730.0 nm: Ed(diffuse) = 2.217E-01 Ed(direct) = 6.861E-01 Ed(total) = 9.077E-01 Absorption Coefficients of Individual Components at 725.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 1.4890 0.0018 0.0002 0.0007 1.4918 3 9.926 5.000 1.4890 0.0018 0.0002 0.0007 1.4918 5 19.852 10.000 1.4890 0.0018 0.0002 0.0007 1.4918 7 29.778 15.000 1.4890 0.0018 0.0002 0.0007 1.4918 9 39.704 20.000 1.4890 0.0018 0.0002 0.0007 1.4918 Scattering Coefficients of Individual Components at 725.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0006 0.3705 0.0000 0.1223 0.4934 3 9.926 5.000 0.0006 0.3705 0.0000 0.1223 0.4934 5 19.852 10.000 0.0006 0.3705 0.0000 0.1223 0.4934 7 29.778 15.000 0.0006 0.3705 0.0000 0.1223 0.4934 9 39.704 20.000 0.0006 0.3705 0.0000 0.1223 0.4934 Backscattering Coefficients of Individual Components at 725.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00029 0.00371 0.00000 0.00367 0.00767 3 9.926 5.000 0.00029 0.00371 0.00000 0.00367 0.00767 5 19.852 10.000 0.00029 0.00371 0.00000 0.00367 0.00767 7 29.778 15.000 0.00029 0.00371 0.00000 0.00367 0.00767 9 39.704 20.000 0.00029 0.00371 0.00000 0.00367 0.00767 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 1.4918 0.4934 1.9852 0.2486 0.00767 0.01554 3 9.926 5.000 1.4918 0.4934 1.9852 0.2486 0.00767 0.01554 5 19.852 10.000 1.4918 0.4934 1.9852 0.2486 0.00767 0.01554 7 29.778 15.000 1.4918 0.4934 1.9852 0.2486 0.00767 0.01554 9 39.704 20.000 1.4918 0.4934 1.9852 0.2486 0.00767 0.01554 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 6.6564E-01 8 20.00 2.5364E-01 7 30.00 7.4045E-02 6 40.00 2.1453E-02 5 50.00 7.1647E-03 4 60.00 2.8684E-03 3 70.00 1.3488E-03 2 80.00 7.2355E-04 1 87.50 4.8567E-04 1 92.50 3.8348E-04 2 100.00 2.8506E-04 3 110.00 2.0761E-04 4 120.00 1.6511E-04 5 130.00 1.4186E-04 6 140.00 1.2943E-04 7 150.00 1.2308E-04 8 160.00 1.2007E-04 9 170.00 1.1881E-04 10 180.00 1.1841E-04 Asymptotic AOP values are MUu(inf) = 0.3918 MUd(inf) = 0.9265 MU(inf) = 0.9213 R(inf) = 0.0017 Lu(inf)/Ed(inf) = 0.000409 (1/sr) k(inf) = 1.6194 (1/m) absorp(check) = 1.4920 = 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 8.0800E-02 1.2409E+00 1.3217E+00 2.9866E-02 9.0772E-01 0.3696 0.7315 0.6642 3.2902E-02 1 0.00 0.00 3.9892E-03 9.7721E-01 9.8120E-01 1.5510E-03 8.7940E-01 0.3888 0.8999 0.8947 1.7637E-03 3 9.93 5.00 2.3682E-05 2.5417E-04 2.7786E-04 1.1895E-05 2.1931E-04 0.5023 0.8628 0.7465 5.4239E-02 5 19.85 10.00 9.9430E-06 1.1203E-05 2.1146E-05 5.0219E-06 5.8866E-06 0.5051 0.5255 0.0409 8.5311E-01 7 29.78 15.00 4.2124E-06 4.7345E-06 8.9468E-06 2.1231E-06 2.4755E-06 0.5040 0.5229 0.0394 8.5766E-01 9 39.70 20.00 1.7705E-06 1.9903E-06 3.7608E-06 8.9127E-07 1.0395E-06 0.5034 0.5223 0.0394 8.5740E-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 1.58420 1.64860 1.64834 1.61307 1.66726 1.66736 1.62794 5.000 5.010 5.005 0.22517 1.51556 1.40492 0.21236 1.57396 1.65261 0.20103 10.000 10.010 10.005 0.17288 0.17140 0.17210 0.17332 0.17745 0.20143 0.17435 15.000 15.010 15.005 0.17445 0.17058 0.17240 0.17474 0.17096 0.14819 0.17540 20.000 20.010 20.005 0.17355 0.17240 0.17294 0.17375 0.17269 0.16633 0.17430 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 5.98140E-02 1.98523E-04 5.01651E-03 5.21503E-03 2.18705E-04 0.083868 9 1 10.0 0.0 180.0 3.69077E-02 2.04824E-04 1.40249E-03 1.60731E-03 2.25647E-04 0.038000 9 4 10.0 45.0 135.0 4.05516E-02 2.02787E-04 1.63631E-03 1.83909E-03 2.23403E-04 0.040351 9 7 10.0 90.0 90.0 5.47885E-02 1.99683E-04 3.56238E-03 3.76207E-03 2.19983E-04 0.065021 8 1 20.0 0.0 180.0 2.89905E-02 2.08241E-04 7.11767E-04 9.20008E-04 2.29411E-04 0.024552 8 4 20.0 45.0 135.0 3.22742E-02 2.04167E-04 8.44069E-04 1.04824E-03 2.24923E-04 0.026153 8 7 20.0 90.0 90.0 4.74577E-02 1.99623E-04 2.01923E-03 2.21886E-03 2.19916E-04 0.042548 7 1 30.0 0.0 180.0 2.51363E-02 2.12293E-04 6.05085E-04 8.17378E-04 2.33875E-04 0.024072 7 4 30.0 45.0 135.0 2.78712E-02 2.09180E-04 6.80191E-04 8.89371E-04 2.30446E-04 0.024405 7 7 30.0 90.0 90.0 4.06205E-02 2.02177E-04 1.20074E-03 1.40292E-03 2.22731E-04 0.029560 6 1 40.0 0.0 180.0 2.38591E-02 2.14884E-04 6.72780E-04 8.87664E-04 2.36729E-04 0.028198 6 4 40.0 45.0 135.0 2.60886E-02 2.10664E-04 7.29677E-04 9.40341E-04 2.32081E-04 0.027969 6 7 40.0 90.0 90.0 3.66280E-02 2.02834E-04 1.05899E-03 1.26182E-03 2.23454E-04 0.028912 5 1 50.0 0.0 180.0 2.50155E-02 2.18002E-04 1.06277E-03 1.28077E-03 2.40164E-04 0.042485 5 4 50.0 45.0 135.0 2.66574E-02 2.12189E-04 1.10721E-03 1.31940E-03 2.33760E-04 0.041535 5 7 50.0 90.0 90.0 3.54342E-02 2.04647E-04 1.43142E-03 1.63606E-03 2.25451E-04 0.040396 4 1 60.0 0.0 180.0 2.96938E-02 2.15104E-04 2.47576E-03 2.69087E-03 2.36972E-04 0.083377 4 4 60.0 45.0 135.0 3.03658E-02 2.08826E-04 2.44477E-03 2.65360E-03 2.30056E-04 0.080511 4 7 60.0 90.0 90.0 3.74977E-02 2.04313E-04 2.85494E-03 3.05925E-03 2.25084E-04 0.076136 3 1 70.0 0.0 180.0 4.12003E-02 1.99841E-04 6.83872E-03 7.03856E-03 2.20158E-04 0.165987 3 4 70.0 45.0 135.0 4.00407E-02 1.96128E-04 6.58011E-03 6.77624E-03 2.16066E-04 0.164336 3 7 70.0 90.0 90.0 4.47645E-02 1.93108E-04 7.15556E-03 7.34867E-03 2.12740E-04 0.159849 2 1 80.0 0.0 180.0 6.99999E-02 1.71491E-04 1.69990E-02 1.71705E-02 1.88925E-04 0.242843 2 4 80.0 45.0 135.0 6.48186E-02 1.68001E-04 1.64416E-02 1.66096E-02 1.85080E-04 0.253655 2 7 80.0 90.0 90.0 6.43978E-02 1.66659E-04 1.72188E-02 1.73855E-02 1.83602E-04 0.267382 1 1 87.5 0.0 180.0 1.13177E-01 1.38590E-04 2.99801E-02 3.01187E-02 1.52679E-04 0.264896 1 4 87.5 45.0 135.0 1.01902E-01 1.29464E-04 2.97950E-02 2.99245E-02 1.42625E-04 0.292389 1 7 87.5 90.0 90.0 9.27084E-02 1.43439E-04 3.04933E-02 3.06367E-02 1.58021E-04 0.328916 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 5.215E-03 5.981E-02 7.165E-02 6.167E-02 9.269E-02 5.745E-03 5.727E+00 1.985E-04 2.187E-04 1 0.00 0.00 3.684E-04 1.113E-01 9.421E-04 1.189E-03 1.936E-03 4.190E-04 4.210E+00 3 9.93 5.00 3.965E-06 1.606E-04 3.802E-06 3.885E-06 4.101E-06 1.808E-02 3.000E+00 5 19.85 10.00 1.672E-06 2.169E-06 1.579E-06 1.579E-06 1.579E-06 2.840E-01 3.003E+00 7 29.78 15.00 7.030E-07 8.831E-07 6.722E-07 6.722E-07 6.722E-07 2.840E-01 3.020E+00 9 39.70 20.00 2.941E-07 3.696E-07 2.832E-07 2.832E-07 2.832E-07 2.829E-01 3.030E+00 Waveband 38 of 40 completed in 13.8 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 27.5 m at 735.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 730.0 nm to 740.0 nm: Ed(diffuse) = 2.418E-01 Ed(direct) = 7.532E-01 Ed(total) = 9.950E-01 Absorption Coefficients of Individual Components at 735.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 2.1289 0.0006 0.0002 0.0002 2.1299 3 13.086 5.000 2.1289 0.0006 0.0002 0.0002 2.1299 5 26.171 10.000 2.1289 0.0006 0.0002 0.0002 2.1299 7 39.257 15.000 2.1289 0.0006 0.0002 0.0002 2.1299 9 52.342 20.000 2.1289 0.0006 0.0002 0.0002 2.1299 Scattering Coefficients of Individual Components at 735.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0005 0.3655 0.0000 0.1212 0.4872 3 13.086 5.000 0.0005 0.3655 0.0000 0.1212 0.4872 5 26.171 10.000 0.0005 0.3655 0.0000 0.1212 0.4872 7 39.257 15.000 0.0005 0.3655 0.0000 0.1212 0.4872 9 52.342 20.000 0.0005 0.3655 0.0000 0.1212 0.4872 Backscattering Coefficients of Individual Components at 735.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00027 0.00365 0.00000 0.00363 0.00756 3 13.086 5.000 0.00027 0.00365 0.00000 0.00363 0.00756 5 26.171 10.000 0.00027 0.00365 0.00000 0.00363 0.00756 7 39.257 15.000 0.00027 0.00365 0.00000 0.00363 0.00756 9 52.342 20.000 0.00027 0.00365 0.00000 0.00363 0.00756 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 2.1299 0.4872 2.6171 0.1861 0.00756 0.01552 3 13.086 5.000 2.1299 0.4872 2.6171 0.1861 0.00756 0.01552 5 26.171 10.000 2.1299 0.4872 2.6171 0.1861 0.00756 0.01552 7 39.257 15.000 2.1299 0.4872 2.6171 0.1861 0.00756 0.01552 9 52.342 20.000 2.1299 0.4872 2.6171 0.1861 0.00756 0.01552 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 5.8254E-01 8 20.00 1.7544E-01 7 30.00 4.1972E-02 6 40.00 1.0921E-02 5 50.00 3.5306E-03 4 60.00 1.4145E-03 3 70.00 6.7102E-04 2 80.00 3.6295E-04 1 87.50 2.4494E-04 1 92.50 1.9428E-04 2 100.00 1.4506E-04 3 110.00 1.0629E-04 4 120.00 8.5130E-05 5 130.00 7.3687E-05 6 140.00 6.7693E-05 7 150.00 6.4739E-05 8 160.00 6.3418E-05 9 170.00 6.2906E-05 10 180.00 6.2756E-05 Asymptotic AOP values are MUu(inf) = 0.3955 MUd(inf) = 0.9412 MU(inf) = 0.9376 R(inf) = 0.0012 Lu(inf)/Ed(inf) = 0.000282 (1/sr) k(inf) = 2.2722 (1/m) absorp(check) = 2.1304 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 735.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 8.7865E-02 1.3591E+00 1.4470E+00 3.2473E-02 9.9497E-01 0.3696 0.7321 0.6652 3.2637E-02 1 0.00 0.00 3.0093E-03 1.0700E+00 1.0730E+00 1.1663E-03 9.6366E-01 0.3876 0.9006 0.8970 1.2103E-03 3 13.09 5.00 1.1541E-05 2.0482E-05 3.2023E-05 5.8914E-06 1.3807E-05 0.5105 0.6741 0.2472 4.2668E-01 5 26.17 10.00 4.3528E-06 4.7820E-06 9.1348E-06 2.2146E-06 2.5054E-06 0.5088 0.5239 0.0318 8.8393E-01 7 39.26 15.00 1.6202E-06 1.7805E-06 3.4008E-06 8.2261E-07 9.3101E-07 0.5077 0.5229 0.0319 8.8356E-01 9 52.34 20.00 6.0681E-07 6.6607E-07 1.2729E-06 3.0764E-07 3.4767E-07 0.5070 0.5220 0.0315 8.8485E-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 2.31938 2.36519 2.36506 2.32957 2.37441 2.37446 2.33076 5.000 5.010 5.005 0.20117 1.00519 0.71469 0.20114 1.29951 2.12486 0.20214 10.000 10.010 10.005 0.20015 0.19195 0.19586 0.20064 0.19260 0.13146 0.20175 15.000 15.010 15.005 0.19872 0.19543 0.19700 0.19903 0.19584 0.17160 0.19985 20.000 20.010 20.005 0.19535 0.19453 0.19492 0.19558 0.19491 0.18972 0.19629 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 6.52449E-02 1.49364E-04 5.49659E-03 5.64595E-03 1.50119E-04 0.084245 9 1 10.0 0.0 180.0 4.02588E-02 1.54191E-04 1.53313E-03 1.68732E-03 1.54971E-04 0.038082 9 4 10.0 45.0 135.0 4.42335E-02 1.52627E-04 1.78913E-03 1.94175E-03 1.53399E-04 0.040447 9 7 10.0 90.0 90.0 5.97632E-02 1.50217E-04 3.90105E-03 4.05127E-03 1.50977E-04 0.065275 8 1 20.0 0.0 180.0 3.16227E-02 1.56796E-04 7.76560E-04 9.33356E-04 1.57589E-04 0.024557 8 4 20.0 45.0 135.0 3.52046E-02 1.53676E-04 9.21141E-04 1.07482E-03 1.54454E-04 0.026165 8 7 20.0 90.0 90.0 5.17667E-02 1.50134E-04 2.20836E-03 2.35850E-03 1.50893E-04 0.042660 7 1 30.0 0.0 180.0 2.74186E-02 1.59865E-04 6.60025E-04 8.19890E-04 1.60673E-04 0.024072 7 4 30.0 45.0 135.0 3.04019E-02 1.57447E-04 7.41971E-04 8.99417E-04 1.58243E-04 0.024405 7 7 30.0 90.0 90.0 4.43079E-02 1.52006E-04 1.31090E-03 1.46291E-03 1.52775E-04 0.029586 6 1 40.0 0.0 180.0 2.60254E-02 1.61809E-04 7.33866E-04 8.95675E-04 1.62627E-04 0.028198 6 4 40.0 45.0 135.0 2.84574E-02 1.58533E-04 7.95930E-04 9.54463E-04 1.59335E-04 0.027969 6 7 40.0 90.0 90.0 3.99538E-02 1.52421E-04 1.15521E-03 1.30764E-03 1.53192E-04 0.028914 5 1 50.0 0.0 180.0 2.72868E-02 1.64129E-04 1.15927E-03 1.32340E-03 1.64959E-04 0.042485 5 4 50.0 45.0 135.0 2.90778E-02 1.59638E-04 1.20774E-03 1.36738E-03 1.60445E-04 0.041535 5 7 50.0 90.0 90.0 3.86516E-02 1.53715E-04 1.56139E-03 1.71510E-03 1.54493E-04 0.040396 4 1 60.0 0.0 180.0 3.23899E-02 1.61913E-04 2.70056E-03 2.86247E-03 1.62732E-04 0.083377 4 4 60.0 45.0 135.0 3.31229E-02 1.57063E-04 2.66675E-03 2.82381E-03 1.57857E-04 0.080511 4 7 60.0 90.0 90.0 4.09024E-02 1.53402E-04 3.11416E-03 3.26756E-03 1.54178E-04 0.076136 3 1 70.0 0.0 180.0 4.49412E-02 1.50383E-04 7.45965E-03 7.61004E-03 1.51144E-04 0.165987 3 4 70.0 45.0 135.0 4.36762E-02 1.47465E-04 7.17757E-03 7.32503E-03 1.48211E-04 0.164336 3 7 70.0 90.0 90.0 4.88290E-02 1.44942E-04 7.80527E-03 7.95021E-03 1.45676E-04 0.159849 2 1 80.0 0.0 180.0 7.63557E-02 1.29018E-04 1.85425E-02 1.86715E-02 1.29671E-04 0.242843 2 4 80.0 45.0 135.0 7.07039E-02 1.26283E-04 1.79344E-02 1.80607E-02 1.26922E-04 0.253655 2 7 80.0 90.0 90.0 7.02449E-02 1.25064E-04 1.87822E-02 1.89073E-02 1.25696E-04 0.267382 1 1 87.5 0.0 180.0 1.23453E-01 1.04245E-04 3.27022E-02 3.28065E-02 1.04772E-04 0.264896 1 4 87.5 45.0 135.0 1.11154E-01 9.72975E-05 3.25003E-02 3.25976E-02 9.77895E-05 0.292389 1 7 87.5 90.0 90.0 1.01126E-01 1.07633E-04 3.32619E-02 3.33696E-02 1.08177E-04 0.328916 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 5.646E-03 6.524E-02 7.813E-02 6.725E-02 1.011E-01 5.675E-03 5.751E+00 1.494E-04 1.501E-04 1 0.00 0.00 2.772E-04 1.214E-01 7.553E-04 9.541E-04 1.561E-03 2.877E-04 4.207E+00 3 13.09 5.00 2.015E-06 8.801E-06 1.785E-06 1.787E-06 1.792E-06 1.459E-01 2.924E+00 5 26.17 10.00 7.504E-07 9.012E-07 6.784E-07 6.784E-07 6.784E-07 2.995E-01 2.951E+00 7 39.26 15.00 2.771E-07 3.329E-07 2.537E-07 2.537E-07 2.537E-07 2.976E-01 2.969E+00 9 52.34 20.00 1.032E-07 1.237E-07 9.528E-08 9.528E-08 9.528E-08 2.969E-01 2.981E+00 Waveband 39 of 40 completed in 17.9 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 26.7 m at 745.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 740.0 nm to 750.0 nm: Ed(diffuse) = 2.544E-01 Ed(direct) = 7.973E-01 Ed(total) = 1.052E+00 Absorption Coefficients of Individual Components at 745.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 2.4590 0.0000 0.0002 0.0000 2.4592 3 14.700 5.000 2.4590 0.0000 0.0002 0.0000 2.4592 5 29.400 10.000 2.4590 0.0000 0.0002 0.0000 2.4592 7 44.100 15.000 2.4590 0.0000 0.0002 0.0000 2.4592 9 58.800 20.000 2.4590 0.0000 0.0002 0.0000 2.4592 Scattering Coefficients of Individual Components at 745.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0005 0.3606 0.0000 0.1198 0.4808 3 14.700 5.000 0.0005 0.3606 0.0000 0.1198 0.4808 5 29.400 10.000 0.0005 0.3606 0.0000 0.1198 0.4808 7 44.100 15.000 0.0005 0.3606 0.0000 0.1198 0.4808 9 58.800 20.000 0.0005 0.3606 0.0000 0.1198 0.4808 Backscattering Coefficients of Individual Components at 745.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00026 0.00361 0.00000 0.00359 0.00746 3 14.700 5.000 0.00026 0.00361 0.00000 0.00359 0.00746 5 29.400 10.000 0.00026 0.00361 0.00000 0.00359 0.00746 7 44.100 15.000 0.00026 0.00361 0.00000 0.00359 0.00746 9 58.800 20.000 0.00026 0.00361 0.00000 0.00359 0.00746 Summary of Inherent Optical Properties at 745.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 2.4592 0.4808 2.9400 0.1636 0.00746 0.01551 3 14.700 5.000 2.4592 0.4808 2.9400 0.1636 0.00746 0.01551 5 29.400 10.000 2.4592 0.4808 2.9400 0.1636 0.00746 0.01551 7 44.100 15.000 2.4592 0.4808 2.9400 0.1636 0.00746 0.01551 9 58.800 20.000 2.4592 0.4808 2.9400 0.1636 0.00746 0.01551 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 5.4220E-01 8 20.00 1.4625E-01 7 30.00 3.2216E-02 6 40.00 8.0832E-03 5 50.00 2.5963E-03 4 60.00 1.0437E-03 3 70.00 4.9729E-04 2 80.00 2.6991E-04 1 87.50 1.8252E-04 1 92.50 1.4501E-04 2 100.00 1.0844E-04 3 110.00 7.9622E-05 4 120.00 6.3932E-05 5 130.00 5.5483E-05 6 140.00 5.1094E-05 7 150.00 4.8963E-05 8 160.00 4.8034E-05 9 170.00 4.7688E-05 10 180.00 4.7590E-05 Asymptotic AOP values are MUu(inf) = 0.3968 MUd(inf) = 0.9466 MU(inf) = 0.9435 R(inf) = 0.0010 Lu(inf)/Ed(inf) = 0.000240 (1/sr) k(inf) = 2.6070 (1/m) absorp(check) = 2.4597 = 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 9.2448E-02 1.4356E+00 1.5280E+00 3.4204E-02 1.0517E+00 0.3700 0.7326 0.6659 3.2523E-02 1 0.00 0.00 2.7120E-03 1.1305E+00 1.1332E+00 1.0497E-03 1.0185E+00 0.3871 0.9009 0.8978 1.0306E-03 3 14.70 5.00 7.3227E-06 9.4571E-06 1.6780E-05 3.7444E-06 5.5323E-06 0.5113 0.5850 0.1066 6.7682E-01 5 29.40 10.00 2.3232E-06 2.5543E-06 4.8775E-06 1.1836E-06 1.3404E-06 0.5095 0.5247 0.0321 8.8305E-01 7 44.10 15.00 7.5271E-07 8.2551E-07 1.5782E-06 3.8247E-07 4.3175E-07 0.5081 0.5230 0.0312 8.8587E-01 9 58.80 20.00 2.5267E-07 2.7619E-07 5.2886E-07 1.2809E-07 1.4399E-07 0.5069 0.5213 0.0301 8.8960E-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 2.69979 2.73461 2.73452 2.70079 2.73890 2.73893 2.69569 5.000 5.010 5.005 0.23692 0.58107 0.43074 0.23758 0.79065 1.95892 0.23923 10.000 10.010 10.005 0.23088 0.22385 0.22720 0.23146 0.22468 0.17348 0.23287 15.000 15.010 15.005 0.22292 0.22079 0.22180 0.22349 0.22149 0.20595 0.22482 20.000 20.010 20.005 0.21454 0.21451 0.21452 0.21499 0.21515 0.21640 0.21632 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 6.86470E-02 1.34374E-04 5.80772E-03 5.94209E-03 1.27773E-04 0.084603 9 1 10.0 0.0 180.0 4.23580E-02 1.38744E-04 1.61637E-03 1.75511E-03 1.31929E-04 0.038160 9 4 10.0 45.0 135.0 4.65400E-02 1.37328E-04 1.88665E-03 2.02398E-03 1.30582E-04 0.040538 9 7 10.0 90.0 90.0 6.28794E-02 1.35138E-04 4.11964E-03 4.25478E-03 1.28500E-04 0.065516 8 1 20.0 0.0 180.0 3.32716E-02 1.41102E-04 8.17220E-04 9.58322E-04 1.34170E-04 0.024562 8 4 20.0 45.0 135.0 3.70403E-02 1.38279E-04 9.69603E-04 1.10788E-03 1.31486E-04 0.026177 8 7 20.0 90.0 90.0 5.44660E-02 1.35056E-04 2.32928E-03 2.46434E-03 1.28421E-04 0.042766 7 1 30.0 0.0 180.0 2.88483E-02 1.43873E-04 6.94441E-04 8.38315E-04 1.36806E-04 0.024072 7 4 30.0 45.0 135.0 3.19873E-02 1.41675E-04 7.80681E-04 9.22355E-04 1.34715E-04 0.024406 7 7 30.0 90.0 90.0 4.66176E-02 1.36731E-04 1.38039E-03 1.51712E-03 1.30014E-04 0.029611 6 1 40.0 0.0 180.0 2.73825E-02 1.45627E-04 7.72133E-04 9.17760E-04 1.38473E-04 0.028198 6 4 40.0 45.0 135.0 2.99413E-02 1.42651E-04 8.37433E-04 9.80083E-04 1.35643E-04 0.027969 6 7 40.0 90.0 90.0 4.20371E-02 1.37089E-04 1.21553E-03 1.35261E-03 1.30355E-04 0.028916 5 1 50.0 0.0 180.0 2.87096E-02 1.47713E-04 1.21972E-03 1.36743E-03 1.40457E-04 0.042485 5 4 50.0 45.0 135.0 3.05940E-02 1.43639E-04 1.27072E-03 1.41436E-03 1.36582E-04 0.041535 5 7 50.0 90.0 90.0 4.06670E-02 1.38243E-04 1.64280E-03 1.78105E-03 1.31451E-04 0.040396 4 1 60.0 0.0 180.0 3.40788E-02 1.45715E-04 2.84137E-03 2.98709E-03 1.38557E-04 0.083377 4 4 60.0 45.0 135.0 3.48501E-02 1.41315E-04 2.80580E-03 2.94712E-03 1.34373E-04 0.080511 4 7 60.0 90.0 90.0 4.30352E-02 1.37952E-04 3.27654E-03 3.41450E-03 1.31175E-04 0.076136 3 1 70.0 0.0 180.0 4.72846E-02 1.35333E-04 7.84863E-03 7.98396E-03 1.28685E-04 0.165987 3 4 70.0 45.0 135.0 4.59537E-02 1.32673E-04 7.55184E-03 7.68451E-03 1.26155E-04 0.164336 3 7 70.0 90.0 90.0 5.13751E-02 1.30342E-04 8.21226E-03 8.34261E-03 1.23939E-04 0.159849 2 1 80.0 0.0 180.0 8.03372E-02 1.16102E-04 1.95094E-02 1.96255E-02 1.10398E-04 0.242843 2 4 80.0 45.0 135.0 7.43907E-02 1.13611E-04 1.88696E-02 1.89832E-02 1.08030E-04 0.253655 2 7 80.0 90.0 90.0 7.39078E-02 1.12467E-04 1.97616E-02 1.98741E-02 1.06942E-04 0.267382 1 1 87.5 0.0 180.0 1.29891E-01 9.38063E-05 3.44075E-02 3.45013E-02 8.91980E-05 0.264896 1 4 87.5 45.0 135.0 1.16950E-01 8.75327E-05 3.41950E-02 3.42826E-02 8.32326E-05 0.292389 1 7 87.5 90.0 90.0 1.06399E-01 9.67972E-05 3.49964E-02 3.50932E-02 9.20420E-05 0.328916 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 5.942E-03 6.865E-02 8.220E-02 7.075E-02 1.063E-01 5.650E-03 5.756E+00 1.344E-04 1.278E-04 1 0.00 0.00 2.494E-04 1.277E-01 7.020E-04 8.872E-04 1.455E-03 2.449E-04 4.209E+00 3 14.70 5.00 1.286E-06 2.789E-06 1.129E-06 1.129E-06 1.130E-06 2.325E-01 2.911E+00 5 29.40 10.00 4.025E-07 4.840E-07 3.611E-07 3.611E-07 3.611E-07 3.003E-01 2.941E+00 7 44.10 15.00 1.291E-07 1.545E-07 1.176E-07 1.176E-07 1.176E-07 2.990E-01 2.963E+00 9 58.80 20.00 4.294E-08 5.110E-08 3.965E-08 3.965E-08 3.965E-08 2.982E-01 2.983E+00 Waveband 40 of 40 completed in 19.5 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 1.100E+01 1.258E+01 1.248E+01 1.093E+01 1.340E+01 1.871E+01 1.964E+01 1.866E+01 1.902E+01 2.231E+01 2.374E+01 2.352E+01 2.379E+01 2.296E+01 2.322E+01 2.270E+01 2.172E+01 2.216E+01 2.234E+01 2.198E+01 2.176E+01 2.152E+01 2.142E+01 2.075E+01 1.985E+01 2.028E+01 1.976E+01 1.951E+01 1.923E+01 1.859E+01 1.773E+01 1.843E+01 1.808E+01 1.656E+01 1.594E+01 1.602E+01 1.465E+01 1.322E+01 1.447E+01 1.528E+01 0.0 8.629E+00 1.008E+01 1.012E+01 8.958E+00 1.106E+01 1.537E+01 1.602E+01 1.517E+01 1.539E+01 1.811E+01 1.940E+01 1.930E+01 1.971E+01 1.915E+01 1.944E+01 1.895E+01 1.790E+01 1.841E+01 1.862E+01 1.829E+01 1.802E+01 1.782E+01 1.747E+01 1.645E+01 1.536E+01 1.538E+01 1.498E+01 1.476E+01 1.452E+01 1.402E+01 1.333E+01 1.383E+01 1.362E+01 1.251E+01 1.199E+01 1.198E+01 1.090E+01 9.812E+00 1.073E+01 1.133E+01 5.0 4.241E+00 5.287E+00 5.522E+00 5.042E+00 6.330E+00 8.676E+00 8.822E+00 8.288E+00 8.219E+00 9.839E+00 1.082E+01 1.097E+01 1.164E+01 1.161E+01 1.198E+01 1.159E+01 1.042E+01 1.108E+01 1.137E+01 1.116E+01 1.081E+01 1.069E+01 9.765E+00 7.516E+00 5.071E+00 2.948E+00 2.728E+00 2.428E+00 2.121E+00 1.799E+00 1.284E+00 9.095E-01 8.418E-01 6.967E-01 4.720E-01 2.098E-01 3.683E-02 2.779E-03 3.202E-04 1.678E-04 10.0 1.727E+00 2.310E+00 2.521E+00 2.385E+00 3.058E+00 4.143E+00 4.121E+00 3.850E+00 3.743E+00 4.573E+00 5.180E+00 5.375E+00 5.953E+00 6.119E+00 6.435E+00 6.182E+00 5.293E+00 5.842E+00 6.096E+00 5.989E+00 5.704E+00 5.660E+00 4.809E+00 3.019E+00 1.473E+00 5.018E-01 4.424E-01 3.569E-01 2.782E-01 2.086E-01 1.139E-01 6.261E-02 7.148E-02 6.959E-02 3.849E-02 9.185E-03 9.707E-04 2.115E-04 9.135E-05 4.878E-05 15.0 6.672E-01 9.559E-01 1.088E+00 1.067E+00 1.395E+00 1.869E+00 1.819E+00 1.691E+00 1.612E+00 2.010E+00 2.346E+00 2.491E+00 2.878E+00 3.049E+00 3.269E+00 3.122E+00 2.546E+00 2.917E+00 3.096E+00 3.045E+00 2.855E+00 2.842E+00 2.250E+00 1.156E+00 4.108E-01 8.363E-02 7.035E-02 5.168E-02 3.625E-02 2.433E-02 1.102E-02 7.962E-03 1.641E-02 2.094E-02 1.207E-02 2.927E-03 3.997E-04 8.947E-05 3.401E-05 1.578E-05 20.0 2.532E-01 3.880E-01 4.605E-01 4.670E-01 6.228E-01 8.245E-01 7.853E-01 7.259E-01 6.790E-01 8.636E-01 1.038E+00 1.127E+00 1.358E+00 1.482E+00 1.619E+00 1.537E+00 1.195E+00 1.420E+00 1.533E+00 1.510E+00 1.394E+00 1.392E+00 1.028E+00 4.335E-01 1.130E-01 1.429E-02 1.149E-02 7.783E-03 5.052E-03 3.191E-03 1.582E-03 2.482E-03 6.726E-03 9.182E-03 5.398E-03 1.335E-03 1.826E-04 3.761E-05 1.273E-05 5.289E-06 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 3.265E+01 3.839E+01 3.911E+01 3.516E+01 4.425E+01 6.335E+01 6.813E+01 6.627E+01 6.915E+01 8.296E+01 9.029E+01 9.141E+01 9.445E+01 9.306E+01 9.608E+01 9.583E+01 9.349E+01 9.722E+01 9.991E+01 1.001E+02 1.009E+02 1.016E+02 1.030E+02 1.014E+02 9.873E+01 1.026E+02 1.016E+02 1.019E+02 1.020E+02 1.002E+02 9.707E+01 1.024E+02 1.020E+02 9.483E+01 9.261E+01 9.441E+01 8.753E+01 8.009E+01 8.889E+01 9.515E+01 0.0 2.560E+01 3.075E+01 3.173E+01 2.883E+01 3.651E+01 5.203E+01 5.555E+01 5.390E+01 5.595E+01 6.737E+01 7.377E+01 7.501E+01 7.825E+01 7.761E+01 8.042E+01 7.999E+01 7.706E+01 8.076E+01 8.324E+01 8.332E+01 8.360E+01 8.413E+01 8.395E+01 8.042E+01 7.638E+01 7.778E+01 7.699E+01 7.710E+01 7.708E+01 7.560E+01 7.300E+01 7.687E+01 7.683E+01 7.164E+01 6.967E+01 7.056E+01 6.513E+01 5.946E+01 6.592E+01 7.056E+01 5.0 1.258E+01 1.613E+01 1.731E+01 1.622E+01 2.090E+01 2.937E+01 3.060E+01 2.944E+01 2.988E+01 3.659E+01 4.113E+01 4.264E+01 4.623E+01 4.708E+01 4.958E+01 4.891E+01 4.487E+01 4.864E+01 5.085E+01 5.085E+01 5.014E+01 5.050E+01 4.693E+01 3.675E+01 2.522E+01 1.491E+01 1.402E+01 1.268E+01 1.126E+01 9.700E+00 7.028E+00 5.055E+00 4.749E+00 3.989E+00 2.742E+00 1.236E+00 2.201E-01 1.684E-02 1.967E-03 1.045E-03 10.0 5.124E+00 7.047E+00 7.900E+00 7.676E+00 1.009E+01 1.402E+01 1.429E+01 1.368E+01 1.361E+01 1.701E+01 1.970E+01 2.089E+01 2.363E+01 2.480E+01 2.662E+01 2.609E+01 2.278E+01 2.564E+01 2.726E+01 2.728E+01 2.646E+01 2.673E+01 2.311E+01 1.476E+01 7.326E+00 2.538E+00 2.274E+00 1.865E+00 1.476E+00 1.124E+00 6.237E-01 3.480E-01 4.033E-01 3.984E-01 2.236E-01 5.412E-02 5.801E-03 1.281E-03 5.612E-04 3.037E-04 15.0 1.980E+00 2.916E+00 3.411E+00 3.432E+00 4.606E+00 6.326E+00 6.310E+00 6.006E+00 5.862E+00 7.477E+00 8.923E+00 9.680E+00 1.143E+01 1.236E+01 1.352E+01 1.318E+01 1.096E+01 1.280E+01 1.385E+01 1.387E+01 1.324E+01 1.342E+01 1.081E+01 5.654E+00 2.043E+00 4.229E-01 3.616E-01 2.700E-01 1.924E-01 1.312E-01 6.032E-02 4.425E-02 9.256E-02 1.199E-01 7.009E-02 1.725E-02 2.389E-03 5.421E-04 2.089E-04 9.827E-05 20.0 7.514E-01 1.184E+00 1.443E+00 1.503E+00 2.056E+00 2.791E+00 2.724E+00 2.578E+00 2.469E+00 3.212E+00 3.947E+00 4.379E+00 5.390E+00 6.006E+00 6.698E+00 6.486E+00 5.142E+00 6.231E+00 6.856E+00 6.878E+00 6.464E+00 6.573E+00 4.939E+00 2.120E+00 5.618E-01 7.226E-02 5.908E-02 4.066E-02 2.681E-02 1.720E-02 8.661E-03 1.380E-02 3.794E-02 5.257E-02 3.136E-02 7.869E-03 1.091E-03 2.279E-04 7.820E-05 3.293E-05 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 2.8046E+03 1.8379E+03 0.00 2.2353E+03 1.8108E+03 5.00 9.2234E+02 6.4263E+02 10.00 4.2697E+02 2.7962E+02 15.00 1.9949E+02 1.2720E+02 20.00 9.2806E+01 5.8454E+01 K-function for PAR (units of 1/meter) (valid only when zupper and zlower are closely spaced) zupper zlower z KPAR(from Eo) 0.000 0.010 0.005 0.20449 5.000 5.010 5.005 0.15895 10.000 10.010 10.005 0.15201 15.000 15.010 15.005 0.15262 20.000 20.010 20.005 0.15339 CIE 1931 chromaticity coordinates (x,y) and (il)luminance Y for selected quantities. Output is (x,y,Y). Y is illuminance in lm/m^2 for Ed and Eu; Y is luminance in lm/(m^2 sr) for Lu and Lw depth Ed Eu Lu Lw in air (0.328, 0.339, 1.024E+05) (0.293, 0.327, 5.035E+03) (0.283, 0.327, 1.053E+03) (0.235, 0.315, 4.817E+02) 0.00 (0.326, 0.339, 1.011E+05) (0.236, 0.318, 3.804E+03) (0.235, 0.315, 8.933E+02) 5.00 (0.264, 0.351, 4.500E+04) (0.216, 0.327, 2.158E+03) (0.215, 0.325, 4.602E+02) 10.00 (0.238, 0.363, 2.082E+04) (0.208, 0.341, 1.103E+03) (0.208, 0.338, 2.263E+02) 15.00 (0.226, 0.376, 9.744E+03) (0.204, 0.355, 5.404E+02) (0.204, 0.352, 1.090E+02) 20.00 (0.220, 0.389, 4.577E+03) (0.203, 0.368, 2.598E+02) (0.202, 0.365, 5.194E+01) The final depth-averaged photopic alpha and K are alpha = 0.7540 1/m and K = 0.1518 1/m The final estimate for the Secchi depth is z_SD = 8.83 m Run completed on 07/20/2011 at 22:41:07.6 Total (wall clock) run time = 277.4 sec