======================================================== | | | 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: classic case 1 (07/19/2011 15:43) Run started on 07/19/2011 at 15:43:00.0 The radiance distribution is computed on the following (Theta,Phi,Depth,Wavelength) grid: I Theta Mu J Phi K zeta z L Lambda (deg) (deg) (m) (nm) 1 87.500 0.0436 1 0.00 1 0.000 1 405.00 2 80.000 0.1730 2 15.00 2 0.010 2 415.00 3 70.000 0.3407 3 30.00 3 10.000 3 425.00 4 60.000 0.4981 4 45.00 4 10.010 4 435.00 5 50.000 0.6403 5 60.00 5 20.000 5 445.00 6 40.000 0.7631 6 75.00 6 20.010 6 455.00 7 30.000 0.8627 7 90.00 7 30.000 7 465.00 8 20.000 0.9361 8 105.00 8 30.010 8 475.00 9 10.000 0.9811 9 120.00 9 40.000 9 485.00 10 0.000 0.9981 10 135.00 10 40.010 10 495.00 11 150.00 11 50.000 11 505.00 12 165.00 12 50.010 12 515.00 13 180.00 13 525.00 14 195.00 14 535.00 15 210.00 15 545.00 16 225.00 16 555.00 17 240.00 17 565.00 18 255.00 18 575.00 19 270.00 19 585.00 20 285.00 20 595.00 21 300.00 21 605.00 22 315.00 22 615.00 23 330.00 23 625.00 24 345.00 24 635.00 25 645.00 26 655.00 27 665.00 28 675.00 29 685.00 30 695.00 ***** BEGIN IOP MODEL SPECIFICATIONS ***** The IOP routine "abcase1" is being used: Absorption and scattering coefficients for case 1 water (Gordon and Morel bio-optical models) are used. component 1 is pure water component 2 is pigmented particles component 3 is CDOM that covaries with chlorophyll Pure water a and b values are obtained from the file: ..\data\H2OabDefaults.txt (Linear interpolation is used to define values at all wavelengths) The data file header records from ..\data\H2OabDefaults.txt are: Default "pure water" absorption (a) and scattering (b) coefficients. Based on: 200-300 nm: R.C. Smith and K. Baker, 1981. Appl. Optics 20(2), 177-184. 191 records read The phase function for component 1 comes from a file titled pure sea water (Rayleigh-like phase function); standard quad partition; 7 Sept 98 Absorption for component 2 calculated from the Prieur-Sathyenranath-Morel model 141 records read The chlorophyll concentration is constant with depth with a value of 2.30 (mg/m^3) Scattering for component 2 calculated using a Power Law model b = 0.3000 X^(0.6200) * (550./wavenm)^(1.0000) The phase function for component 2 will be chosen to have a bb/b ratio of 0.0100 Chlorophyll concentrations at the requested output depths depth Chl (m) (mg/m^3) 0.000 2.300 10.000 2.300 20.000 2.300 30.000 2.300 40.000 2.300 50.000 2.300 ***** END IOP MODEL SPECIFICATIONS ***** ***** BEGIN INELASTIC SCATTER AND INTERNAL SOURCE SPECIFICATIONS ***** Chlorophyll fluorescence is included in this run Chl fluorescent quantum efficiency set to 0.020 CDOM fluorescence is included in this run Raman scattering is included in this run Raman scattering cross-section set to 2.40E-04 m-1 at reference wavelength 488.0 nm ***** END INELASTIC SCATTER AND INTERNAL SOURCE SPECIFICATIONS ***** ***** BEGIN ATMOSPHERIC MODEL SPECIFICATIONS ***** Normalized sky radiances are computed using sky model "HCNRAD" (Harrison and Coombes Normalized RADiances) The cloud fraction is cloud = 0.0 (0 for a clear sky to 1 for a heavy overcast) The sun is placed in quad Q(r,s) = Q( 7, 1) centered at (theta, phi) = (30.000, 0.000) Diffuse and Direct Sky irradiances are computed using the "RADTRANX" (RADTRAN eXtended for 300-1000 nm) model The RADTRAN clear-sky irradiances are adjusted for cloudiness by the model of Kasten and Czeplak Parameter values used in the RADTRANX model: Solar zenith angle = 30.0 degrees Pressure = 29.9 in. mercury Day of year = not set (mean earth-sun distance used) Air mass type = 1.0 Relative Humidity = 80.0 % Precipitable water = 2.5 cm 24-hr wind speed = 5.0 m/sec Current wind speed = 5.0 m/sec Visibility = 15.0 km Total ozone = 300.0 Dobson units Irradiances are computed just above the sea surface Aerosol optical thickness at 550 nm = 0.261 ***** END ATMOSPHERIC MODEL SPECIFICATIONS ***** ***** BEGIN AIR-WATER SURFACE SPECIFICATIONS ***** The air-water surface is for a wind speed of 5.0 m/s Index of refraction is constant for all wavelengths with the value: 1.340 ***** END AIR-WATER SURFACE SPECIFICATIONS ***** ***** BEGIN BOTTOM BOUNDARY SPECIFICATIONS ***** The bottom boundary is an infinitely deep, homogeneous water body below depth 50.00 m The actual depth at which the infinitely deep bottom boundary condition will be applied will be determined dynamically from the IOPs to insure a good solution at the requested output depths ***** END BOTTOM BOUNDARY SPECIFICATIONS ***** Initialization of Hydrolight Completed in 0.1 sec. * * * * * Output for wavelength band 1 (400.0 to 410.0 nm; nominal wavelength = 405.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 84.1 m at 405.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 400.0 nm to 410.0 nm: Ed(diffuse) = 4.287E-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 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0053 0.0804 0.0337 0.1194 3 8.094 10.000 0.0053 0.0804 0.0337 0.1194 5 16.187 20.000 0.0053 0.0804 0.0337 0.1194 7 24.281 30.000 0.0053 0.0804 0.0337 0.1194 9 32.375 40.000 0.0053 0.0804 0.0337 0.1194 11 40.469 50.000 0.0053 0.0804 0.0337 0.1194 Scattering Coefficients of Individual Components at 405.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0072 0.6828 0.0000 0.6900 3 8.094 10.000 0.0072 0.6828 0.0000 0.6900 5 16.187 20.000 0.0072 0.6828 0.0000 0.6900 7 24.281 30.000 0.0072 0.6828 0.0000 0.6900 9 32.375 40.000 0.0072 0.6828 0.0000 0.6900 11 40.469 50.000 0.0072 0.6828 0.0000 0.6900 Backscattering Coefficients of Individual Components at 405.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00359 0.00683 0.00000 0.01042 3 8.094 10.000 0.00359 0.00683 0.00000 0.01042 5 16.187 20.000 0.00359 0.00683 0.00000 0.01042 7 24.281 30.000 0.00359 0.00683 0.00000 0.01042 9 32.375 40.000 0.00359 0.00683 0.00000 0.01042 11 40.469 50.000 0.00359 0.00683 0.00000 0.01042 Summary of Inherent Optical Properties at 405.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1194 0.6900 0.8094 0.8525 0.01042 0.01510 3 8.094 10.000 0.1194 0.6900 0.8094 0.8525 0.01042 0.01510 5 16.187 20.000 0.1194 0.6900 0.8094 0.8525 0.01042 0.01510 7 24.281 30.000 0.1194 0.6900 0.8094 0.8525 0.01042 0.01510 9 32.375 40.000 0.1194 0.6900 0.8094 0.8525 0.01042 0.01510 11 40.469 50.000 0.1194 0.6900 0.8094 0.8525 0.01042 0.01510 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3649E-01 8 20.00 7.8534E-01 7 30.00 5.9430E-01 6 40.00 4.1343E-01 5 50.00 2.7045E-01 4 60.00 1.7068E-01 3 70.00 1.0675E-01 2 80.00 6.8131E-02 1 87.50 4.9442E-02 1 92.50 3.9570E-02 2 100.00 3.0163E-02 3 110.00 2.2261E-02 4 120.00 1.7355E-02 5 130.00 1.4330E-02 6 140.00 1.2457E-02 7 150.00 1.1304E-02 8 160.00 1.0618E-02 9 170.00 1.0254E-02 10 180.00 1.0126E-02 Asymptotic AOP values are MUu(inf) = 0.3802 MUd(inf) = 0.7326 MU(inf) = 0.6559 R(inf) = 0.0384 Lu(inf)/Ed(inf) = 0.008074 (1/sr) k(inf) = 0.1820 (1/m) absorp(check) = 0.1194 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 405.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.6465E-01 1.6724E+00 1.8370E+00 5.7311E-02 1.1279E+00 0.3481 0.6745 0.5828 5.0810E-02 1 0.00 0.00 8.3804E-02 1.2873E+00 1.3711E+00 3.5479E-02 1.1061E+00 0.4234 0.8593 0.7809 3.2076E-02 3 8.09 10.00 1.9898E-02 2.7476E-01 2.9466E-01 7.7030E-03 2.0771E-01 0.3871 0.7560 0.6788 3.7085E-02 5 16.19 20.00 3.4725E-03 4.7153E-02 5.0626E-02 1.3260E-03 3.4807E-02 0.3819 0.7382 0.6614 3.8095E-02 7 24.28 30.00 5.7274E-04 7.7475E-03 8.3202E-03 2.1802E-04 5.6872E-03 0.3807 0.7341 0.6573 3.8335E-02 9 32.37 40.00 9.3227E-05 1.2599E-03 1.3531E-03 3.5461E-05 9.2353E-04 0.3804 0.7330 0.6563 3.8397E-02 11 40.47 50.00 1.5124E-05 2.0434E-04 2.1946E-04 5.7515E-06 1.4972E-04 0.3803 0.7327 0.6560 3.8414E-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 0.09196 0.12135 0.11956 0.11463 0.15168 0.15291 0.14527 10.000 10.010 10.005 0.16780 0.17109 0.17087 0.17049 0.17568 0.17588 0.17464 20.000 20.010 20.005 0.17869 0.17942 0.17937 0.17929 0.18046 0.18051 0.18022 30.000 30.010 30.005 0.18117 0.18135 0.18133 0.18131 0.18160 0.18161 0.18154 40.000 40.010 40.005 0.18177 0.18182 0.18181 0.18181 0.18189 0.18189 0.18188 50.000 50.010 50.005 0.18194 0.18195 0.18195 0.18195 0.18197 0.18198 0.18197 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 4.65234E-03 6.50596E-03 1.11583E-02 4.12461E-03 0.056238 9 1 10.0 0.0 180.0 7.13830E-02 4.76313E-03 2.28345E-03 7.04658E-03 4.22283E-03 0.031989 9 4 10.0 45.0 135.0 7.84307E-02 4.73082E-03 2.61264E-03 7.34346E-03 4.19419E-03 0.033311 9 7 10.0 90.0 90.0 1.05966E-01 4.69315E-03 4.91231E-03 9.60546E-03 4.16079E-03 0.046357 8 1 20.0 0.0 180.0 5.60704E-02 4.83470E-03 1.35492E-03 6.18962E-03 4.28628E-03 0.024165 8 4 20.0 45.0 135.0 6.24214E-02 4.76609E-03 1.57631E-03 6.34241E-03 4.22546E-03 0.025253 8 7 20.0 90.0 90.0 9.17877E-02 4.71678E-03 3.15324E-03 7.87002E-03 4.18174E-03 0.034354 7 1 30.0 0.0 180.0 4.86160E-02 4.93069E-03 1.17031E-03 6.10100E-03 4.37138E-03 0.024073 7 4 30.0 45.0 135.0 5.38891E-02 4.89528E-03 1.31286E-03 6.20814E-03 4.33999E-03 0.024362 7 7 30.0 90.0 90.0 7.86649E-02 4.80848E-03 2.17442E-03 6.98290E-03 4.26304E-03 0.027642 6 1 40.0 0.0 180.0 4.61458E-02 5.01144E-03 1.30124E-03 6.31268E-03 4.44297E-03 0.028198 6 4 40.0 45.0 135.0 5.04580E-02 4.96144E-03 1.41127E-03 6.37271E-03 4.39865E-03 0.027969 6 7 40.0 90.0 90.0 7.08422E-02 4.87211E-03 2.03855E-03 6.91066E-03 4.31945E-03 0.028776 5 1 50.0 0.0 180.0 4.83824E-02 5.11197E-03 2.05551E-03 7.16747E-03 4.53210E-03 0.042485 5 4 50.0 45.0 135.0 5.15579E-02 5.03023E-03 2.14146E-03 7.17170E-03 4.45964E-03 0.041535 5 7 50.0 90.0 90.0 6.85333E-02 4.95015E-03 2.76849E-03 7.71863E-03 4.38863E-03 0.040396 4 1 60.0 0.0 180.0 5.74306E-02 5.07270E-03 4.78837E-03 9.86106E-03 4.49728E-03 0.083377 4 4 60.0 45.0 135.0 5.87304E-02 4.98211E-03 4.72843E-03 9.71053E-03 4.41697E-03 0.080511 4 7 60.0 90.0 90.0 7.25243E-02 4.96927E-03 5.52173E-03 1.04910E-02 4.40559E-03 0.076136 3 1 70.0 0.0 180.0 7.96854E-02 4.73900E-03 1.32267E-02 1.79657E-02 4.20144E-03 0.165987 3 4 70.0 45.0 135.0 7.74426E-02 4.70379E-03 1.27266E-02 1.74304E-02 4.17022E-03 0.164336 3 7 70.0 90.0 90.0 8.65789E-02 4.70383E-03 1.38396E-02 1.85434E-02 4.17026E-03 0.159849 2 1 80.0 0.0 180.0 1.35387E-01 4.08294E-03 3.28778E-02 3.69607E-02 3.61980E-03 0.242843 2 4 80.0 45.0 135.0 1.25365E-01 4.04250E-03 3.17996E-02 3.58421E-02 3.58395E-03 0.253655 2 7 80.0 90.0 90.0 1.24552E-01 4.05387E-03 3.33028E-02 3.73567E-02 3.59403E-03 0.267382 1 1 87.5 0.0 180.0 2.18895E-01 3.30521E-03 5.79845E-02 6.12897E-02 2.93029E-03 0.264896 1 4 87.5 45.0 135.0 1.97088E-01 3.11586E-03 5.76265E-02 6.07423E-02 2.76242E-03 0.292389 1 7 87.5 90.0 90.0 1.79307E-01 3.46714E-03 5.89769E-02 6.24441E-02 3.07385E-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 1.116E-02 1.157E-01 1.401E-01 1.209E-01 1.809E-01 9.893E-03 5.136E+00 4.652E-03 4.125E-03 1 0.00 0.00 8.631E-03 2.154E-01 1.728E-02 1.976E-02 2.691E-02 7.803E-03 4.111E+00 3 8.09 10.00 1.665E-03 1.460E-01 4.883E-03 6.229E-03 9.404E-03 8.016E-03 4.626E+00 5 16.19 20.00 2.806E-04 2.771E-02 9.734E-04 1.169E-03 1.519E-03 8.060E-03 4.726E+00 7 24.28 30.00 4.590E-05 4.566E-03 1.762E-04 1.981E-04 2.300E-04 8.071E-03 4.750E+00 9 32.37 40.00 7.456E-06 7.391E-04 3.037E-05 3.257E-05 3.534E-05 8.073E-03 4.756E+00 11 40.47 50.00 1.209E-06 1.196E-04 5.093E-06 5.302E-06 5.543E-06 8.074E-03 4.758E+00 Waveband 1 of 30 completed in 7.6 sec. * * * * * Output for wavelength band 2 (410.0 to 420.0 nm; nominal wavelength = 415.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 84.1 m at 415.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 410.0 nm to 420.0 nm: Ed(diffuse) = 4.394E-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 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0044 0.0907 0.0293 0.1244 3 7.973 10.000 0.0044 0.0907 0.0293 0.1244 5 15.945 20.000 0.0044 0.0907 0.0293 0.1244 7 23.918 30.000 0.0044 0.0907 0.0293 0.1244 9 31.890 40.000 0.0044 0.0907 0.0293 0.1244 11 39.863 50.000 0.0044 0.0907 0.0293 0.1244 Scattering Coefficients of Individual Components at 415.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0065 0.6664 0.0000 0.6728 3 7.973 10.000 0.0065 0.6664 0.0000 0.6728 5 15.945 20.000 0.0065 0.6664 0.0000 0.6728 7 23.918 30.000 0.0065 0.6664 0.0000 0.6728 9 31.890 40.000 0.0065 0.6664 0.0000 0.6728 11 39.863 50.000 0.0065 0.6664 0.0000 0.6728 Backscattering Coefficients of Individual Components at 415.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00323 0.00666 0.00000 0.00989 3 7.973 10.000 0.00323 0.00666 0.00000 0.00989 5 15.945 20.000 0.00323 0.00666 0.00000 0.00989 7 23.918 30.000 0.00323 0.00666 0.00000 0.00989 9 31.890 40.000 0.00323 0.00666 0.00000 0.00989 11 39.863 50.000 0.00323 0.00666 0.00000 0.00989 Summary of Inherent Optical Properties at 415.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1244 0.6728 0.7973 0.8439 0.00989 0.01471 3 7.973 10.000 0.1244 0.6728 0.7973 0.8439 0.00989 0.01471 5 15.945 20.000 0.1244 0.6728 0.7973 0.8439 0.00989 0.01471 7 23.918 30.000 0.1244 0.6728 0.7973 0.8439 0.00989 0.01471 9 31.890 40.000 0.1244 0.6728 0.7973 0.8439 0.00989 0.01471 11 39.863 50.000 0.1244 0.6728 0.7973 0.8439 0.00989 0.01471 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3400E-01 8 20.00 7.7771E-01 7 30.00 5.8214E-01 6 40.00 3.9949E-01 5 50.00 2.5742E-01 4 60.00 1.6000E-01 3 70.00 9.8655E-02 2 80.00 6.2178E-02 1 87.50 4.4762E-02 1 92.50 3.5656E-02 2 100.00 2.7028E-02 3 110.00 1.9832E-02 4 120.00 1.5400E-02 5 130.00 1.2685E-02 6 140.00 1.1014E-02 7 150.00 9.9901E-03 8 160.00 9.3834E-03 9 170.00 9.0631E-03 10 180.00 8.9506E-03 Asymptotic AOP values are MUu(inf) = 0.3785 MUd(inf) = 0.7387 MU(inf) = 0.6673 R(inf) = 0.0350 Lu(inf)/Ed(inf) = 0.007326 (1/sr) k(inf) = 0.1865 (1/m) absorp(check) = 0.1244 = k(inf)*MU(inf) The CDOM absorption at each wavelength is constant with depth with a value of 0.00 (1/m) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 415.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.6823E-01 1.7632E+00 1.9315E+00 5.8781E-02 1.1984E+00 0.3494 0.6797 0.5901 4.9047E-02 1 0.00 0.00 8.1430E-02 1.3606E+00 1.4420E+00 3.4317E-02 1.1740E+00 0.4214 0.8628 0.7903 2.9232E-02 3 7.97 10.00 1.8474E-02 2.7649E-01 2.9496E-01 7.1181E-03 2.1060E-01 0.3853 0.7617 0.6899 3.3799E-02 5 15.95 20.00 3.0827E-03 4.5340E-02 4.8423E-02 1.1716E-03 3.3741E-02 0.3801 0.7442 0.6726 3.4723E-02 7 23.92 30.00 4.8615E-04 7.1220E-03 7.6081E-03 1.8419E-04 5.2712E-03 0.3789 0.7401 0.6686 3.4943E-02 9 31.89 40.00 7.5667E-05 1.1074E-03 1.1831E-03 2.8646E-05 8.1851E-04 0.3786 0.7391 0.6676 3.4998E-02 11 39.86 50.00 1.1738E-05 1.7174E-04 1.8348E-04 4.4429E-06 1.2689E-04 0.3785 0.7388 0.6674 3.5014E-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 0.09437 0.12588 0.12410 0.11868 0.15633 0.15747 0.14985 10.000 10.010 10.005 0.17230 0.17571 0.17549 0.17499 0.18019 0.18037 0.17913 20.000 20.010 20.005 0.18318 0.18393 0.18388 0.18377 0.18495 0.18499 0.18471 30.000 30.010 30.005 0.18565 0.18583 0.18582 0.18579 0.18608 0.18609 0.18602 40.000 40.010 40.005 0.18624 0.18630 0.18629 0.18629 0.18637 0.18637 0.18635 50.000 50.010 50.005 0.18641 0.18643 0.18643 0.18642 0.18645 0.18645 0.18644 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 4.48063E-03 6.88404E-03 1.13647E-02 3.73870E-03 0.058054 9 1 10.0 0.0 180.0 7.31681E-02 4.58838E-03 2.36947E-03 6.95785E-03 3.82861E-03 0.032384 9 4 10.0 45.0 135.0 8.03920E-02 4.55681E-03 2.71518E-03 7.27199E-03 3.80226E-03 0.033774 9 7 10.0 90.0 90.0 1.08616E-01 4.51963E-03 5.16841E-03 9.68805E-03 3.77124E-03 0.047584 8 1 20.0 0.0 180.0 5.74725E-02 4.65769E-03 1.39027E-03 6.04796E-03 3.88644E-03 0.024190 8 4 20.0 45.0 135.0 6.39824E-02 4.59081E-03 1.61952E-03 6.21033E-03 3.83063E-03 0.025312 8 7 20.0 90.0 90.0 9.40831E-02 4.54195E-03 3.28278E-03 7.82473E-03 3.78986E-03 0.034892 7 1 30.0 0.0 180.0 4.98318E-02 4.75031E-03 1.19958E-03 5.94989E-03 3.96372E-03 0.024072 7 4 30.0 45.0 135.0 5.52379E-02 4.71510E-03 1.34587E-03 6.06096E-03 3.93434E-03 0.024365 7 7 30.0 90.0 90.0 8.06253E-02 4.62983E-03 2.23876E-03 6.86859E-03 3.86319E-03 0.027767 6 1 40.0 0.0 180.0 4.72998E-02 4.82789E-03 1.33378E-03 6.16167E-03 4.02845E-03 0.028198 6 4 40.0 45.0 135.0 5.17198E-02 4.77836E-03 1.44656E-03 6.22492E-03 3.98712E-03 0.027969 6 7 40.0 90.0 90.0 7.26138E-02 4.69081E-03 2.09017E-03 6.78098E-03 3.91407E-03 0.028785 5 1 50.0 0.0 180.0 4.95923E-02 4.92446E-03 2.10691E-03 7.03137E-03 4.10903E-03 0.042485 5 4 50.0 45.0 135.0 5.28472E-02 4.84436E-03 2.19501E-03 7.03937E-03 4.04219E-03 0.041535 5 7 50.0 90.0 90.0 7.02471E-02 4.76654E-03 2.83772E-03 7.60426E-03 3.97726E-03 0.040396 4 1 60.0 0.0 180.0 5.88668E-02 4.88645E-03 4.90811E-03 9.79456E-03 4.07732E-03 0.083377 4 4 60.0 45.0 135.0 6.01990E-02 4.79796E-03 4.84667E-03 9.64463E-03 4.00348E-03 0.080511 4 7 60.0 90.0 90.0 7.43379E-02 4.78606E-03 5.65981E-03 1.04459E-02 3.99355E-03 0.076136 3 1 70.0 0.0 180.0 8.16781E-02 4.56524E-03 1.35575E-02 1.81228E-02 3.80929E-03 0.165987 3 4 70.0 45.0 135.0 7.93792E-02 4.53053E-03 1.30448E-02 1.75754E-02 3.78033E-03 0.164336 3 7 70.0 90.0 90.0 8.87440E-02 4.53283E-03 1.41856E-02 1.87185E-02 3.78225E-03 0.159849 2 1 80.0 0.0 180.0 1.38772E-01 3.93371E-03 3.36999E-02 3.76336E-02 3.28233E-03 0.242843 2 4 80.0 45.0 135.0 1.28500E-01 3.89445E-03 3.25948E-02 3.64893E-02 3.24958E-03 0.253655 2 7 80.0 90.0 90.0 1.27666E-01 3.90894E-03 3.41356E-02 3.80446E-02 3.26167E-03 0.267382 1 1 87.5 0.0 180.0 2.24369E-01 3.18519E-03 5.94345E-02 6.26197E-02 2.65776E-03 0.264896 1 4 87.5 45.0 135.0 2.02017E-01 3.00286E-03 5.90676E-02 6.20704E-02 2.50562E-03 0.292389 1 7 87.5 90.0 90.0 1.83791E-01 3.34605E-03 6.04518E-02 6.37978E-02 2.79198E-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 1.136E-02 1.186E-01 1.435E-01 1.238E-01 1.854E-01 9.483E-03 5.172E+00 4.481E-03 3.739E-03 1 0.00 0.00 8.312E-03 2.207E-01 1.676E-02 1.930E-02 2.661E-02 7.081E-03 4.128E+00 3 7.97 10.00 1.532E-03 1.485E-01 4.538E-03 5.841E-03 8.944E-03 7.276E-03 4.646E+00 5 15.95 20.00 2.469E-04 2.736E-02 8.659E-04 1.049E-03 1.381E-03 7.316E-03 4.746E+00 7 23.92 30.00 3.862E-05 4.334E-03 1.502E-04 1.702E-04 1.995E-04 7.326E-03 4.770E+00 9 31.89 40.00 5.998E-06 6.720E-04 2.482E-05 2.677E-05 2.924E-05 7.328E-03 4.776E+00 11 39.86 50.00 9.300E-07 1.040E-04 3.988E-06 4.168E-06 4.376E-06 7.329E-03 4.777E+00 Waveband 2 of 30 completed in 7.2 sec. * * * * * Output for wavelength band 3 (420.0 to 430.0 nm; nominal wavelength = 425.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 84.1 m at 425.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 420.0 nm to 430.0 nm: Ed(diffuse) = 4.082E-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 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0048 0.0959 0.0254 0.1261 3 7.826 10.000 0.0048 0.0959 0.0254 0.1261 5 15.652 20.000 0.0048 0.0959 0.0254 0.1261 7 23.479 30.000 0.0048 0.0959 0.0254 0.1261 9 31.305 40.000 0.0048 0.0959 0.0254 0.1261 11 39.131 50.000 0.0048 0.0959 0.0254 0.1261 Scattering Coefficients of Individual Components at 425.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0058 0.6507 0.0000 0.6565 3 7.826 10.000 0.0058 0.6507 0.0000 0.6565 5 15.652 20.000 0.0058 0.6507 0.0000 0.6565 7 23.479 30.000 0.0058 0.6507 0.0000 0.6565 9 31.305 40.000 0.0058 0.6507 0.0000 0.6565 11 39.131 50.000 0.0058 0.6507 0.0000 0.6565 Backscattering Coefficients of Individual Components at 425.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00291 0.00651 0.00000 0.00942 3 7.826 10.000 0.00291 0.00651 0.00000 0.00942 5 15.652 20.000 0.00291 0.00651 0.00000 0.00942 7 23.479 30.000 0.00291 0.00651 0.00000 0.00942 9 31.305 40.000 0.00291 0.00651 0.00000 0.00942 11 39.131 50.000 0.00291 0.00651 0.00000 0.00942 Summary of Inherent Optical Properties at 425.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1261 0.6565 0.7826 0.8389 0.00942 0.01435 3 7.826 10.000 0.1261 0.6565 0.7826 0.8389 0.00942 0.01435 5 15.652 20.000 0.1261 0.6565 0.7826 0.8389 0.00942 0.01435 7 23.479 30.000 0.1261 0.6565 0.7826 0.8389 0.00942 0.01435 9 31.305 40.000 0.1261 0.6565 0.7826 0.8389 0.00942 0.01435 11 39.131 50.000 0.1261 0.6565 0.7826 0.8389 0.00942 0.01435 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3253E-01 8 20.00 7.7326E-01 7 30.00 5.7510E-01 6 40.00 3.9150E-01 5 50.00 2.5002E-01 4 60.00 1.5399E-01 3 70.00 9.4125E-02 2 80.00 5.8859E-02 1 87.50 4.2152E-02 1 92.50 3.3469E-02 2 100.00 2.5269E-02 3 110.00 1.8459E-02 4 120.00 1.4285E-02 5 130.00 1.1739E-02 6 140.00 1.0176E-02 7 150.00 9.2217E-03 8 160.00 8.6574E-03 9 170.00 8.3600E-03 10 180.00 8.2556E-03 Asymptotic AOP values are MUu(inf) = 0.3769 MUd(inf) = 0.7424 MU(inf) = 0.6741 R(inf) = 0.0330 Lu(inf)/Ed(inf) = 0.006862 (1/sr) k(inf) = 0.1871 (1/m) absorp(check) = 0.1261 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 425.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.5648E-01 1.6797E+00 1.8362E+00 5.4985E-02 1.1494E+00 0.3514 0.6843 0.5960 4.7839E-02 1 0.00 0.00 7.3670E-02 1.3005E+00 1.3742E+00 3.0939E-02 1.1253E+00 0.4200 0.8653 0.7964 2.7493E-02 3 7.83 10.00 1.6615E-02 2.6195E-01 2.7856E-01 6.3785E-03 2.0053E-01 0.3839 0.7655 0.6970 3.1808E-02 5 15.65 20.00 2.7596E-03 4.2721E-02 4.5481E-02 1.0447E-03 3.1950E-02 0.3786 0.7479 0.6795 3.2698E-02 7 23.48 30.00 4.3285E-04 6.6727E-03 7.1055E-03 1.6334E-04 4.9628E-03 0.3774 0.7438 0.6755 3.2912E-02 9 31.30 40.00 6.6985E-05 1.0315E-03 1.0985E-03 2.5257E-05 7.6614E-04 0.3771 0.7427 0.6744 3.2967E-02 11 39.13 50.00 1.0331E-05 1.5904E-04 1.6938E-04 3.8946E-06 1.1808E-04 0.3770 0.7424 0.6742 3.2983E-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 0.09413 0.12705 0.12528 0.11941 0.15728 0.15836 0.15073 10.000 10.010 10.005 0.17275 0.17628 0.17607 0.17546 0.18074 0.18092 0.17965 20.000 20.010 20.005 0.18369 0.18448 0.18443 0.18430 0.18552 0.18556 0.18526 30.000 30.010 30.005 0.18622 0.18641 0.18640 0.18636 0.18666 0.18667 0.18660 40.000 40.010 40.005 0.18683 0.18689 0.18688 0.18687 0.18695 0.18695 0.18693 50.000 50.010 50.005 0.18699 0.18701 0.18701 0.18700 0.18703 0.18703 0.18702 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 4.02186E-03 6.57864E-03 1.06005E-02 3.49912E-03 0.059731 9 1 10.0 0.0 180.0 6.79596E-02 4.11844E-03 2.22558E-03 6.34402E-03 3.58314E-03 0.032749 9 4 10.0 45.0 135.0 7.46693E-02 4.09010E-03 2.55379E-03 6.64389E-03 3.55849E-03 0.034201 9 7 10.0 90.0 90.0 1.00884E-01 4.05690E-03 4.91474E-03 8.97164E-03 3.52960E-03 0.048717 8 1 20.0 0.0 180.0 5.33813E-02 4.18066E-03 1.29256E-03 5.47322E-03 3.63728E-03 0.024214 8 4 20.0 45.0 135.0 5.94278E-02 4.12061E-03 1.50748E-03 5.62810E-03 3.58504E-03 0.025367 8 7 20.0 90.0 90.0 8.73858E-02 4.07712E-03 3.09254E-03 7.16966E-03 3.54720E-03 0.035390 7 1 30.0 0.0 180.0 4.62845E-02 4.26384E-03 1.11418E-03 5.37802E-03 3.70965E-03 0.024072 7 4 30.0 45.0 135.0 5.13067E-02 4.23221E-03 1.25022E-03 5.48243E-03 3.68212E-03 0.024368 7 7 30.0 90.0 90.0 7.48801E-02 4.15635E-03 2.08794E-03 6.24429E-03 3.61613E-03 0.027884 6 1 40.0 0.0 180.0 4.39327E-02 4.33355E-03 1.23883E-03 5.57239E-03 3.77030E-03 0.028198 6 4 40.0 45.0 135.0 4.80381E-02 4.28914E-03 1.34358E-03 5.63272E-03 3.73165E-03 0.027969 6 7 40.0 90.0 90.0 6.74447E-02 4.21194E-03 1.94194E-03 6.15388E-03 3.66449E-03 0.028793 5 1 50.0 0.0 180.0 4.60620E-02 4.42042E-03 1.95693E-03 6.37735E-03 3.84588E-03 0.042485 5 4 50.0 45.0 135.0 4.90853E-02 4.34875E-03 2.03876E-03 6.38751E-03 3.78352E-03 0.041535 5 7 50.0 90.0 90.0 6.52465E-02 4.28133E-03 2.63572E-03 6.91705E-03 3.72486E-03 0.040396 4 1 60.0 0.0 180.0 5.46763E-02 4.38659E-03 4.55872E-03 8.94531E-03 3.81644E-03 0.083377 4 4 60.0 45.0 135.0 5.59137E-02 4.30762E-03 4.50166E-03 8.80928E-03 3.74773E-03 0.080511 4 7 60.0 90.0 90.0 6.90461E-02 4.30055E-03 5.25692E-03 9.55746E-03 3.74158E-03 0.076136 3 1 70.0 0.0 180.0 7.58638E-02 4.09881E-03 1.25924E-02 1.66912E-02 3.56606E-03 0.165987 3 4 70.0 45.0 135.0 7.37285E-02 4.06846E-03 1.21162E-02 1.61847E-02 3.53966E-03 0.164336 3 7 70.0 90.0 90.0 8.24268E-02 4.07549E-03 1.31758E-02 1.72513E-02 3.54578E-03 0.159849 2 1 80.0 0.0 180.0 1.28894E-01 3.53242E-03 3.13010E-02 3.48334E-02 3.07329E-03 0.242843 2 4 80.0 45.0 135.0 1.19353E-01 3.49822E-03 3.02746E-02 3.37728E-02 3.04354E-03 0.253655 2 7 80.0 90.0 90.0 1.18578E-01 3.51676E-03 3.17057E-02 3.52224E-02 3.05967E-03 0.267382 1 1 87.5 0.0 180.0 2.08398E-01 2.86098E-03 5.52036E-02 5.80646E-02 2.48913E-03 0.264896 1 4 87.5 45.0 135.0 1.87636E-01 2.69831E-03 5.48628E-02 5.75611E-02 2.34760E-03 0.292389 1 7 87.5 90.0 90.0 1.70708E-01 3.01263E-03 5.61485E-02 5.91611E-02 2.62106E-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 1.060E-02 1.101E-01 1.332E-01 1.149E-01 1.721E-01 9.223E-03 5.187E+00 4.022E-03 3.499E-03 1 0.00 0.00 7.461E-03 2.050E-01 1.512E-02 1.753E-02 2.440E-02 6.630E-03 4.147E+00 3 7.83 10.00 1.367E-03 1.412E-01 4.075E-03 5.287E-03 8.193E-03 6.816E-03 4.667E+00 5 15.65 20.00 2.190E-04 2.616E-02 7.744E-04 9.454E-04 1.260E-03 6.855E-03 4.770E+00 7 23.48 30.00 3.407E-05 4.137E-03 1.339E-04 1.528E-04 1.809E-04 6.865E-03 4.794E+00 9 31.30 40.00 5.261E-06 6.384E-04 2.205E-05 2.391E-05 2.631E-05 6.867E-03 4.801E+00 11 39.13 50.00 8.110E-07 9.826E-05 3.529E-06 3.703E-06 3.906E-06 6.868E-03 4.802E+00 Waveband 3 of 30 completed in 7.3 sec. * * * * * Output for wavelength band 4 (430.0 to 440.0 nm; nominal wavelength = 435.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 84.1 m at 435.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 430.0 nm to 440.0 nm: Ed(diffuse) = 4.073E-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 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0053 0.1031 0.0221 0.1305 3 7.715 10.000 0.0053 0.1031 0.0221 0.1305 5 15.430 20.000 0.0053 0.1031 0.0221 0.1305 7 23.145 30.000 0.0053 0.1031 0.0221 0.1305 9 30.861 40.000 0.0053 0.1031 0.0221 0.1305 11 38.576 50.000 0.0053 0.1031 0.0221 0.1305 Scattering Coefficients of Individual Components at 435.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0053 0.6357 0.0000 0.6410 3 7.715 10.000 0.0053 0.6357 0.0000 0.6410 5 15.430 20.000 0.0053 0.6357 0.0000 0.6410 7 23.145 30.000 0.0053 0.6357 0.0000 0.6410 9 30.861 40.000 0.0053 0.6357 0.0000 0.6410 11 38.576 50.000 0.0053 0.6357 0.0000 0.6410 Backscattering Coefficients of Individual Components at 435.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00264 0.00636 0.00000 0.00899 3 7.715 10.000 0.00264 0.00636 0.00000 0.00899 5 15.430 20.000 0.00264 0.00636 0.00000 0.00899 7 23.145 30.000 0.00264 0.00636 0.00000 0.00899 9 30.861 40.000 0.00264 0.00636 0.00000 0.00899 11 38.576 50.000 0.00264 0.00636 0.00000 0.00899 Summary of Inherent Optical Properties at 435.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1305 0.6410 0.7715 0.8308 0.00899 0.01403 3 7.715 10.000 0.1305 0.6410 0.7715 0.8308 0.00899 0.01403 5 15.430 20.000 0.1305 0.6410 0.7715 0.8308 0.00899 0.01403 7 23.145 30.000 0.1305 0.6410 0.7715 0.8308 0.00899 0.01403 9 30.861 40.000 0.1305 0.6410 0.7715 0.8308 0.00899 0.01403 11 38.576 50.000 0.1305 0.6410 0.7715 0.8308 0.00899 0.01403 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3022E-01 8 20.00 7.6626E-01 7 30.00 5.6415E-01 6 40.00 3.7926E-01 5 50.00 2.3890E-01 4 60.00 1.4514E-01 3 70.00 8.7600E-02 2 80.00 5.4185E-02 1 87.50 3.8539E-02 1 92.50 3.0481E-02 2 100.00 2.2905E-02 3 110.00 1.6652E-02 4 120.00 1.2845E-02 5 130.00 1.0535E-02 6 140.00 9.1242E-03 7 150.00 8.2659E-03 8 160.00 7.7602E-03 9 170.00 7.4944E-03 10 180.00 7.4012E-03 Asymptotic AOP values are MUu(inf) = 0.3754 MUd(inf) = 0.7477 MU(inf) = 0.6837 R(inf) = 0.0304 Lu(inf)/Ed(inf) = 0.006298 (1/sr) k(inf) = 0.1909 (1/m) absorp(check) = 0.1305 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 435.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.5593E-01 1.7187E+00 1.8747E+00 5.5023E-02 1.1836E+00 0.3529 0.6887 0.6020 4.6487E-02 1 0.00 0.00 7.0185E-02 1.3339E+00 1.4041E+00 2.9355E-02 1.1580E+00 0.4183 0.8681 0.8038 2.5351E-02 3 7.72 10.00 1.5203E-02 2.5738E-01 2.7258E-01 5.8136E-03 1.9830E-01 0.3824 0.7705 0.7062 2.9317E-02 5 15.43 20.00 2.4292E-03 4.0362E-02 4.2792E-02 9.1610E-04 3.0396E-02 0.3771 0.7531 0.6889 3.0139E-02 7 23.15 30.00 3.6663E-04 6.0651E-03 6.4317E-03 1.3782E-04 4.5429E-03 0.3759 0.7490 0.6849 3.0338E-02 9 30.86 40.00 5.4598E-05 9.0219E-04 9.5679E-04 2.0509E-05 6.7487E-04 0.3756 0.7480 0.6839 3.0389E-02 11 38.58 50.00 8.1041E-06 1.3386E-04 1.4197E-04 3.0436E-06 1.0010E-04 0.3756 0.7478 0.6836 3.0406E-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 0.09647 0.13121 0.12948 0.12311 0.16138 0.16237 0.15477 10.000 10.010 10.005 0.17666 0.18027 0.18007 0.17936 0.18463 0.18479 0.18353 20.000 20.010 20.005 0.18754 0.18836 0.18832 0.18815 0.18938 0.18942 0.18911 30.000 30.010 30.005 0.19007 0.19027 0.19026 0.19021 0.19051 0.19052 0.19044 40.000 40.010 40.005 0.19067 0.19073 0.19072 0.19070 0.19079 0.19079 0.19076 50.000 50.010 50.005 0.19082 0.19085 0.19085 0.19083 0.19087 0.19087 0.19085 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 3.80113E-03 6.75154E-03 1.05527E-02 3.21142E-03 0.061424 9 1 10.0 0.0 180.0 6.78230E-02 3.89306E-03 2.24609E-03 6.13916E-03 3.28909E-03 0.033117 9 4 10.0 45.0 135.0 7.45191E-02 3.86598E-03 2.58081E-03 6.44679E-03 3.26621E-03 0.034633 9 7 10.0 90.0 90.0 1.00682E-01 3.83404E-03 5.02001E-03 8.85405E-03 3.23922E-03 0.049860 8 1 20.0 0.0 180.0 5.32740E-02 3.95210E-03 1.29122E-03 5.24332E-03 3.33897E-03 0.024237 8 4 20.0 45.0 135.0 5.93083E-02 3.89482E-03 1.50772E-03 5.40254E-03 3.29057E-03 0.025422 8 7 20.0 90.0 90.0 8.72100E-02 3.85286E-03 3.13012E-03 6.98298E-03 3.25512E-03 0.035892 7 1 30.0 0.0 180.0 4.61914E-02 4.03080E-03 1.11194E-03 5.14274E-03 3.40545E-03 0.024072 7 4 30.0 45.0 135.0 5.12045E-02 4.00017E-03 1.24786E-03 5.24803E-03 3.37958E-03 0.024370 7 7 30.0 90.0 90.0 7.47236E-02 3.92745E-03 2.09235E-03 6.01980E-03 3.31814E-03 0.028001 6 1 40.0 0.0 180.0 4.38444E-02 4.09651E-03 1.23634E-03 5.33285E-03 3.46097E-03 0.028198 6 4 40.0 45.0 135.0 4.79415E-02 4.05363E-03 1.34088E-03 5.39451E-03 3.42474E-03 0.027969 6 7 40.0 90.0 90.0 6.73091E-02 3.97982E-03 1.93860E-03 5.91842E-03 3.36239E-03 0.028801 5 1 50.0 0.0 180.0 4.59694E-02 4.17841E-03 1.95299E-03 6.13140E-03 3.53016E-03 0.042485 5 4 50.0 45.0 135.0 4.89866E-02 4.10979E-03 2.03466E-03 6.14445E-03 3.47219E-03 0.041535 5 7 50.0 90.0 90.0 6.51153E-02 4.04587E-03 2.63042E-03 6.67629E-03 3.41819E-03 0.040396 4 1 60.0 0.0 180.0 5.45664E-02 4.14629E-03 4.54956E-03 8.69585E-03 3.50303E-03 0.083377 4 4 60.0 45.0 135.0 5.58013E-02 4.07089E-03 4.49261E-03 8.56349E-03 3.43932E-03 0.080511 4 7 60.0 90.0 90.0 6.89073E-02 4.06489E-03 5.24635E-03 9.31123E-03 3.43425E-03 0.076136 3 1 70.0 0.0 180.0 7.57113E-02 3.87443E-03 1.25671E-02 1.64415E-02 3.27335E-03 0.165987 3 4 70.0 45.0 135.0 7.35803E-02 3.84532E-03 1.20919E-02 1.59372E-02 3.24875E-03 0.164336 3 7 70.0 90.0 90.0 8.22610E-02 3.85398E-03 1.31493E-02 1.70033E-02 3.25607E-03 0.159849 2 1 80.0 0.0 180.0 1.28635E-01 3.33939E-03 3.12380E-02 3.45774E-02 2.82131E-03 0.242843 2 4 80.0 45.0 135.0 1.19113E-01 3.30699E-03 3.02137E-02 3.35207E-02 2.79394E-03 0.253655 2 7 80.0 90.0 90.0 1.18340E-01 3.32744E-03 3.16419E-02 3.49694E-02 2.81122E-03 0.267382 1 1 87.5 0.0 180.0 2.07978E-01 2.70523E-03 5.50926E-02 5.77979E-02 2.28554E-03 0.264896 1 4 87.5 45.0 135.0 1.87259E-01 2.55164E-03 5.47525E-02 5.73041E-02 2.15577E-03 0.292389 1 7 87.5 90.0 90.0 1.70364E-01 2.85260E-03 5.60356E-02 5.88882E-02 2.41004E-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 1.055E-02 1.099E-01 1.329E-01 1.146E-01 1.717E-01 8.916E-03 5.214E+00 3.801E-03 3.211E-03 1 0.00 0.00 7.052E-03 2.046E-01 1.439E-02 1.678E-02 2.360E-02 6.090E-03 4.163E+00 3 7.72 10.00 1.242E-03 1.398E-01 3.730E-03 4.876E-03 7.649E-03 6.261E-03 4.682E+00 5 15.43 20.00 1.914E-04 2.527E-02 6.822E-04 8.393E-04 1.132E-03 6.298E-03 4.785E+00 7 23.15 30.00 2.865E-05 3.866E-03 1.137E-04 1.306E-04 1.561E-04 6.308E-03 4.810E+00 9 30.86 40.00 4.259E-06 5.752E-04 1.806E-05 1.968E-05 2.180E-05 6.311E-03 4.816E+00 11 38.58 50.00 6.318E-07 8.526E-05 2.786E-06 2.934E-06 3.109E-06 6.312E-03 4.817E+00 Waveband 4 of 30 completed in 7.1 sec. * * * * * Output for wavelength band 5 (440.0 to 450.0 nm; nominal wavelength = 445.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 84.1 m at 445.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 440.0 nm to 450.0 nm: Ed(diffuse) = 4.682E-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 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0075 0.1000 0.0192 0.1267 3 7.530 10.000 0.0075 0.1000 0.0192 0.1267 5 15.059 20.000 0.0075 0.1000 0.0192 0.1267 7 22.589 30.000 0.0075 0.1000 0.0192 0.1267 9 30.119 40.000 0.0075 0.1000 0.0192 0.1267 11 37.648 50.000 0.0075 0.1000 0.0192 0.1267 Scattering Coefficients of Individual Components at 445.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0048 0.6214 0.0000 0.6262 3 7.530 10.000 0.0048 0.6214 0.0000 0.6262 5 15.059 20.000 0.0048 0.6214 0.0000 0.6262 7 22.589 30.000 0.0048 0.6214 0.0000 0.6262 9 30.119 40.000 0.0048 0.6214 0.0000 0.6262 11 37.648 50.000 0.0048 0.6214 0.0000 0.6262 Backscattering Coefficients of Individual Components at 445.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00239 0.00621 0.00000 0.00860 3 7.530 10.000 0.00239 0.00621 0.00000 0.00860 5 15.059 20.000 0.00239 0.00621 0.00000 0.00860 7 22.589 30.000 0.00239 0.00621 0.00000 0.00860 9 30.119 40.000 0.00239 0.00621 0.00000 0.00860 11 37.648 50.000 0.00239 0.00621 0.00000 0.00860 Summary of Inherent Optical Properties at 445.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1267 0.6262 0.7530 0.8317 0.00860 0.01374 3 7.530 10.000 0.1267 0.6262 0.7530 0.8317 0.00860 0.01374 5 15.059 20.000 0.1267 0.6262 0.7530 0.8317 0.00860 0.01374 7 22.589 30.000 0.1267 0.6262 0.7530 0.8317 0.00860 0.01374 9 30.119 40.000 0.1267 0.6262 0.7530 0.8317 0.00860 0.01374 11 37.648 50.000 0.1267 0.6262 0.7530 0.8317 0.00860 0.01374 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3047E-01 8 20.00 7.6699E-01 7 30.00 5.6525E-01 6 40.00 3.8042E-01 5 50.00 2.3986E-01 4 60.00 1.4581E-01 3 70.00 8.8003E-02 2 80.00 5.4397E-02 1 87.50 3.8650E-02 1 92.50 3.0534E-02 2 100.00 2.2907E-02 3 110.00 1.6611E-02 4 120.00 1.2779E-02 5 130.00 1.0454E-02 6 140.00 9.0334E-03 7 150.00 8.1691E-03 8 160.00 7.6597E-03 9 170.00 7.3919E-03 10 180.00 7.2981E-03 Asymptotic AOP values are MUu(inf) = 0.3742 MUd(inf) = 0.7474 MU(inf) = 0.6838 R(inf) = 0.0301 Lu(inf)/Ed(inf) = 0.006198 (1/sr) k(inf) = 0.1854 (1/m) absorp(check) = 0.1268 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 445.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.8066E-01 2.0183E+00 2.1990E+00 6.4263E-02 1.3974E+00 0.3557 0.6924 0.6062 4.5988E-02 1 0.00 0.00 8.1988E-02 1.5734E+00 1.6553E+00 3.4232E-02 1.3674E+00 0.4175 0.8691 0.8053 2.5035E-02 3 7.53 10.00 1.8812E-02 3.2084E-01 3.3965E-01 7.1779E-03 2.4752E-01 0.3816 0.7715 0.7076 2.9000E-02 5 15.06 20.00 3.1888E-03 5.3316E-02 5.6505E-02 1.1991E-03 4.0164E-02 0.3760 0.7533 0.6896 2.9855E-02 7 22.59 30.00 5.0957E-04 8.4794E-03 8.9890E-03 1.9095E-04 6.3505E-03 0.3747 0.7489 0.6852 3.0068E-02 9 30.12 40.00 8.0264E-05 1.3340E-03 1.4143E-03 3.0050E-05 9.9759E-04 0.3744 0.7478 0.6841 3.0123E-02 11 37.65 50.00 1.2597E-05 2.0929E-04 2.2189E-04 4.7150E-06 1.5645E-04 0.3743 0.7475 0.6838 3.0138E-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 0.09203 0.12685 0.12512 0.11844 0.15639 0.15736 0.14974 10.000 10.010 10.005 0.17065 0.17444 0.17423 0.17344 0.17891 0.17908 0.17776 20.000 20.010 20.005 0.18174 0.18263 0.18258 0.18240 0.18371 0.18375 0.18343 30.000 30.010 30.005 0.18442 0.18464 0.18463 0.18458 0.18491 0.18492 0.18484 40.000 40.010 40.005 0.18509 0.18514 0.18514 0.18513 0.18522 0.18522 0.18520 50.000 50.010 50.005 0.18526 0.18528 0.18528 0.18527 0.18530 0.18530 0.18529 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 4.41278E-03 7.94837E-03 1.23611E-02 3.15783E-03 0.062911 9 1 10.0 0.0 180.0 7.79584E-02 4.51756E-03 2.60697E-03 7.12453E-03 3.23282E-03 0.033441 9 4 10.0 45.0 135.0 8.56552E-02 4.48681E-03 2.99894E-03 7.48575E-03 3.21081E-03 0.035012 9 7 10.0 90.0 90.0 1.15727E-01 4.45151E-03 5.88645E-03 1.03380E-02 3.18555E-03 0.050865 8 1 20.0 0.0 180.0 6.12352E-02 4.58557E-03 1.48545E-03 6.07103E-03 3.28149E-03 0.024258 8 4 20.0 45.0 135.0 6.81713E-02 4.52022E-03 1.73634E-03 6.25656E-03 3.23472E-03 0.025470 8 7 20.0 90.0 90.0 1.00243E-01 4.47451E-03 3.64209E-03 8.11661E-03 3.20201E-03 0.036333 7 1 30.0 0.0 180.0 5.30942E-02 4.67681E-03 1.27811E-03 5.95492E-03 3.34678E-03 0.024072 7 4 30.0 45.0 135.0 5.88574E-02 4.64283E-03 1.43450E-03 6.07733E-03 3.32246E-03 0.024372 7 7 30.0 90.0 90.0 8.58844E-02 4.56271E-03 2.41373E-03 6.97644E-03 3.26513E-03 0.028104 6 1 40.0 0.0 180.0 5.03965E-02 4.75361E-03 1.42110E-03 6.17471E-03 3.40174E-03 0.028198 6 4 40.0 45.0 135.0 5.51058E-02 4.70598E-03 1.54126E-03 6.24724E-03 3.36765E-03 0.027969 6 7 40.0 90.0 90.0 7.73677E-02 4.62636E-03 2.22887E-03 6.85523E-03 3.31068E-03 0.028809 5 1 50.0 0.0 180.0 5.28390E-02 4.84959E-03 2.24484E-03 7.09443E-03 3.47042E-03 0.042485 5 4 50.0 45.0 135.0 5.63071E-02 4.77258E-03 2.33872E-03 7.11130E-03 3.41531E-03 0.041535 5 7 50.0 90.0 90.0 7.48461E-02 4.70608E-03 3.02351E-03 7.72959E-03 3.36773E-03 0.040396 4 1 60.0 0.0 180.0 6.27208E-02 4.81338E-03 5.22944E-03 1.00428E-02 3.44451E-03 0.083377 4 4 60.0 45.0 135.0 6.41402E-02 4.72894E-03 5.16398E-03 9.89291E-03 3.38408E-03 0.080511 4 7 60.0 90.0 90.0 7.92047E-02 4.73124E-03 6.03036E-03 1.07616E-02 3.38573E-03 0.076136 3 1 70.0 0.0 180.0 8.70255E-02 4.49907E-03 1.44451E-02 1.89442E-02 3.21959E-03 0.165987 3 4 70.0 45.0 135.0 8.45761E-02 4.46865E-03 1.38989E-02 1.83675E-02 3.19782E-03 0.164336 3 7 70.0 90.0 90.0 9.45540E-02 4.48905E-03 1.51144E-02 1.96034E-02 3.21241E-03 0.159849 2 1 80.0 0.0 180.0 1.47858E-01 3.87881E-03 3.59062E-02 3.97851E-02 2.77572E-03 0.242843 2 4 80.0 45.0 135.0 1.36913E-01 3.84449E-03 3.47288E-02 3.85733E-02 2.75116E-03 0.253655 2 7 80.0 90.0 90.0 1.36024E-01 3.87826E-03 3.63705E-02 4.02487E-02 2.77533E-03 0.267382 1 1 87.5 0.0 180.0 2.39059E-01 3.14305E-03 6.33256E-02 6.64687E-02 2.24921E-03 0.264896 1 4 87.5 45.0 135.0 2.15243E-01 2.96742E-03 6.29347E-02 6.59021E-02 2.12352E-03 0.292389 1 7 87.5 90.0 90.0 1.95824E-01 3.32688E-03 6.44095E-02 6.77364E-02 2.38075E-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 1.236E-02 1.263E-01 1.528E-01 1.318E-01 1.974E-01 8.846E-03 5.199E+00 4.413E-03 3.158E-03 1 0.00 0.00 8.186E-03 2.352E-01 1.673E-02 1.961E-02 2.775E-02 5.987E-03 4.182E+00 3 7.53 10.00 1.525E-03 1.727E-01 4.591E-03 6.039E-03 9.562E-03 6.160E-03 4.708E+00 5 15.06 20.00 2.490E-04 3.326E-02 8.910E-04 1.104E-03 1.506E-03 6.198E-03 4.817E+00 7 22.59 30.00 3.942E-05 5.393E-03 1.575E-04 1.822E-04 2.200E-04 6.208E-03 4.844E+00 9 30.12 40.00 6.195E-06 8.488E-04 2.652E-05 2.908E-05 3.245E-05 6.210E-03 4.850E+00 11 37.65 50.00 9.717E-07 1.330E-04 4.335E-06 4.586E-06 4.885E-06 6.211E-03 4.852E+00 Waveband 5 of 30 completed in 6.9 sec. * * * * * Output for wavelength band 6 (450.0 to 460.0 nm; nominal wavelength = 455.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 84.1 m at 455.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 450.0 nm to 460.0 nm: Ed(diffuse) = 4.888E-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 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0096 0.0949 0.0167 0.1212 3 7.333 10.000 0.0096 0.0949 0.0167 0.1212 5 14.666 20.000 0.0096 0.0949 0.0167 0.1212 7 21.999 30.000 0.0096 0.0949 0.0167 0.1212 9 29.332 40.000 0.0096 0.0949 0.0167 0.1212 11 36.666 50.000 0.0096 0.0949 0.0167 0.1212 Scattering Coefficients of Individual Components at 455.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0043 0.6078 0.0000 0.6121 3 7.333 10.000 0.0043 0.6078 0.0000 0.6121 5 14.666 20.000 0.0043 0.6078 0.0000 0.6121 7 21.999 30.000 0.0043 0.6078 0.0000 0.6121 9 29.332 40.000 0.0043 0.6078 0.0000 0.6121 11 36.666 50.000 0.0043 0.6078 0.0000 0.6121 Backscattering Coefficients of Individual Components at 455.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00217 0.00608 0.00000 0.00825 3 7.333 10.000 0.00217 0.00608 0.00000 0.00825 5 14.666 20.000 0.00217 0.00608 0.00000 0.00825 7 21.999 30.000 0.00217 0.00608 0.00000 0.00825 9 29.332 40.000 0.00217 0.00608 0.00000 0.00825 11 36.666 50.000 0.00217 0.00608 0.00000 0.00825 Summary of Inherent Optical Properties at 455.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1212 0.6121 0.7333 0.8347 0.00825 0.01348 3 7.333 10.000 0.1212 0.6121 0.7333 0.8347 0.00825 0.01348 5 14.666 20.000 0.1212 0.6121 0.7333 0.8347 0.00825 0.01348 7 21.999 30.000 0.1212 0.6121 0.7333 0.8347 0.00825 0.01348 9 29.332 40.000 0.1212 0.6121 0.7333 0.8347 0.00825 0.01348 11 36.666 50.000 0.1212 0.6121 0.7333 0.8347 0.00825 0.01348 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3136E-01 8 20.00 7.6966E-01 7 30.00 5.6936E-01 6 40.00 3.8492E-01 5 50.00 2.4384E-01 4 60.00 1.4885E-01 3 70.00 9.0132E-02 2 80.00 5.5824E-02 1 87.50 3.9685E-02 1 92.50 3.1343E-02 2 100.00 2.3495E-02 3 110.00 1.7008E-02 4 120.00 1.3052E-02 5 130.00 1.0649E-02 6 140.00 9.1793E-03 7 150.00 8.2837E-03 8 160.00 7.7553E-03 9 170.00 7.4772E-03 10 180.00 7.3799E-03 Asymptotic AOP values are MUu(inf) = 0.3730 MUd(inf) = 0.7457 MU(inf) = 0.6816 R(inf) = 0.0304 Lu(inf)/Ed(inf) = 0.006214 (1/sr) k(inf) = 0.1778 (1/m) absorp(check) = 0.1212 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 455.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.9059E-01 2.1495E+00 2.3401E+00 6.8388E-02 1.4954E+00 0.3588 0.6957 0.6098 4.5731E-02 1 0.00 0.00 8.8454E-02 1.6836E+00 1.7720E+00 3.6898E-02 1.4639E+00 0.4171 0.8695 0.8053 2.5205E-02 3 7.33 10.00 2.1941E-02 3.7045E-01 3.9239E-01 8.3595E-03 2.8579E-01 0.3810 0.7715 0.7070 2.9250E-02 5 14.67 20.00 4.0282E-03 6.6595E-02 7.0624E-02 1.5113E-03 5.0101E-02 0.3752 0.7523 0.6880 3.0164E-02 7 22.00 30.00 6.9556E-04 1.1440E-02 1.2135E-02 2.5994E-04 8.5511E-03 0.3737 0.7475 0.6832 3.0399E-02 9 29.33 40.00 1.1824E-04 1.9421E-03 2.0604E-03 4.4140E-05 1.4492E-03 0.3733 0.7462 0.6820 3.0458E-02 11 36.67 50.00 2.0020E-05 3.2877E-04 3.4879E-04 7.4718E-06 2.4520E-04 0.3732 0.7458 0.6816 3.0472E-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 0.08639 0.12067 0.11895 0.11210 0.14947 0.15044 0.14282 10.000 10.010 10.005 0.16255 0.16652 0.16630 0.16545 0.17116 0.17133 0.16996 20.000 20.010 20.005 0.17392 0.17486 0.17481 0.17461 0.17603 0.17607 0.17574 30.000 30.010 30.005 0.17675 0.17699 0.17698 0.17694 0.17730 0.17731 0.17724 40.000 40.010 40.005 0.17750 0.17756 0.17755 0.17755 0.17764 0.17764 0.17764 50.000 50.010 50.005 0.17771 0.17772 0.17772 0.17772 0.17774 0.17774 0.17775 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 4.73607E-03 8.48427E-03 1.32203E-02 3.16701E-03 0.064320 9 1 10.0 0.0 180.0 8.13927E-02 4.84564E-03 2.74675E-03 7.59239E-03 3.24028E-03 0.033747 9 4 10.0 45.0 135.0 8.94286E-02 4.81368E-03 3.16313E-03 7.97682E-03 3.21891E-03 0.035370 9 7 10.0 90.0 90.0 1.20826E-01 4.77840E-03 6.26069E-03 1.10391E-02 3.19531E-03 0.051816 8 1 20.0 0.0 180.0 6.39329E-02 4.91780E-03 1.55216E-03 6.46995E-03 3.28853E-03 0.024278 8 4 20.0 45.0 135.0 7.11745E-02 4.84939E-03 1.81610E-03 6.66549E-03 3.24279E-03 0.025516 8 7 20.0 90.0 90.0 1.04659E-01 4.80468E-03 3.84625E-03 8.65093E-03 3.21289E-03 0.036750 7 1 30.0 0.0 180.0 5.54332E-02 5.01544E-03 1.33441E-03 6.34985E-03 3.35382E-03 0.024072 7 4 30.0 45.0 135.0 6.14512E-02 4.98135E-03 1.49785E-03 6.47920E-03 3.33102E-03 0.024375 7 7 30.0 90.0 90.0 8.96620E-02 4.90152E-03 2.52866E-03 7.43018E-03 3.27764E-03 0.028202 6 1 40.0 0.0 180.0 5.26166E-02 5.09850E-03 1.48370E-03 6.58220E-03 3.40936E-03 0.028198 6 4 40.0 45.0 135.0 5.75335E-02 5.05059E-03 1.60916E-03 6.65975E-03 3.37732E-03 0.027969 6 7 40.0 90.0 90.0 8.07761E-02 4.97357E-03 2.32762E-03 7.30118E-03 3.32582E-03 0.028816 5 1 50.0 0.0 180.0 5.51668E-02 5.20267E-03 2.34374E-03 7.54641E-03 3.47902E-03 0.042485 5 4 50.0 45.0 135.0 5.87877E-02 5.12390E-03 2.44175E-03 7.56565E-03 3.42635E-03 0.041535 5 7 50.0 90.0 90.0 7.81434E-02 5.06288E-03 3.15670E-03 8.21959E-03 3.38555E-03 0.040396 4 1 60.0 0.0 180.0 6.54838E-02 5.16520E-03 5.45982E-03 1.06250E-02 3.45397E-03 0.083377 4 4 60.0 45.0 135.0 6.69658E-02 5.07899E-03 5.39147E-03 1.04705E-02 3.39632E-03 0.080511 4 7 60.0 90.0 90.0 8.26940E-02 5.09356E-03 6.29602E-03 1.13896E-02 3.40606E-03 0.076136 3 1 70.0 0.0 180.0 9.08593E-02 4.82948E-03 1.50815E-02 1.99109E-02 3.22947E-03 0.165987 3 4 70.0 45.0 135.0 8.83020E-02 4.80152E-03 1.45112E-02 1.93127E-02 3.21078E-03 0.164336 3 7 70.0 90.0 90.0 9.87195E-02 4.83640E-03 1.57802E-02 2.06166E-02 3.23410E-03 0.159849 2 1 80.0 0.0 180.0 1.54371E-01 4.16488E-03 3.74880E-02 4.16529E-02 2.78505E-03 0.242843 2 4 80.0 45.0 135.0 1.42945E-01 4.13246E-03 3.62587E-02 4.03912E-02 2.76338E-03 0.253655 2 7 80.0 90.0 90.0 1.42017E-01 4.18095E-03 3.79727E-02 4.21537E-02 2.79580E-03 0.267382 1 1 87.5 0.0 180.0 2.49590E-01 3.37572E-03 6.61154E-02 6.94911E-02 2.25734E-03 0.264896 1 4 87.5 45.0 135.0 2.24725E-01 3.19075E-03 6.57072E-02 6.88979E-02 2.13365E-03 0.292389 1 7 87.5 90.0 90.0 2.04450E-01 3.58842E-03 6.72470E-02 7.08354E-02 2.39957E-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 1.322E-02 1.319E-01 1.595E-01 1.376E-01 2.062E-01 8.840E-03 5.173E+00 4.736E-03 3.167E-03 1 0.00 0.00 8.786E-03 2.455E-01 1.796E-02 2.115E-02 3.006E-02 6.002E-03 4.200E+00 3 7.33 10.00 1.766E-03 1.969E-01 5.318E-03 7.033E-03 1.122E-02 6.180E-03 4.733E+00 5 14.67 20.00 3.116E-04 4.114E-02 1.118E-03 1.396E-03 1.924E-03 6.220E-03 4.849E+00 7 22.00 30.00 5.327E-05 7.206E-03 2.139E-04 2.492E-04 3.039E-04 6.230E-03 4.880E+00 9 29.33 40.00 9.030E-06 1.223E-03 3.894E-05 4.296E-05 4.831E-05 6.231E-03 4.888E+00 11 36.67 50.00 1.528E-06 2.067E-04 6.882E-06 7.314E-06 7.834E-06 6.231E-03 4.890E+00 Waveband 6 of 30 completed in 6.7 sec. * * * * * Output for wavelength band 7 (460.0 to 470.0 nm; nominal wavelength = 465.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 84.1 m at 465.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 460.0 nm to 470.0 nm: Ed(diffuse) = 4.757E-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 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0101 0.0928 0.0145 0.1174 3 7.161 10.000 0.0101 0.0928 0.0145 0.1174 5 14.322 20.000 0.0101 0.0928 0.0145 0.1174 7 21.483 30.000 0.0101 0.0928 0.0145 0.1174 9 28.644 40.000 0.0101 0.0928 0.0145 0.1174 11 35.805 50.000 0.0101 0.0928 0.0145 0.1174 Scattering Coefficients of Individual Components at 465.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0040 0.5947 0.0000 0.5987 3 7.161 10.000 0.0040 0.5947 0.0000 0.5987 5 14.322 20.000 0.0040 0.5947 0.0000 0.5987 7 21.483 30.000 0.0040 0.5947 0.0000 0.5987 9 28.644 40.000 0.0040 0.5947 0.0000 0.5987 11 35.805 50.000 0.0040 0.5947 0.0000 0.5987 Backscattering Coefficients of Individual Components at 465.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00198 0.00595 0.00000 0.00792 3 7.161 10.000 0.00198 0.00595 0.00000 0.00792 5 14.322 20.000 0.00198 0.00595 0.00000 0.00792 7 21.483 30.000 0.00198 0.00595 0.00000 0.00792 9 28.644 40.000 0.00198 0.00595 0.00000 0.00792 11 35.805 50.000 0.00198 0.00595 0.00000 0.00792 Summary of Inherent Optical Properties at 465.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1174 0.5987 0.7161 0.8360 0.00792 0.01324 3 7.161 10.000 0.1174 0.5987 0.7161 0.8360 0.00792 0.01324 5 14.322 20.000 0.1174 0.5987 0.7161 0.8360 0.00792 0.01324 7 21.483 30.000 0.1174 0.5987 0.7161 0.8360 0.00792 0.01324 9 28.644 40.000 0.1174 0.5987 0.7161 0.8360 0.00792 0.01324 11 35.805 50.000 0.1174 0.5987 0.7161 0.8360 0.00792 0.01324 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3173E-01 8 20.00 7.7077E-01 7 30.00 5.7107E-01 6 40.00 3.8677E-01 5 50.00 2.4544E-01 4 60.00 1.5004E-01 3 70.00 9.0929E-02 2 80.00 5.6324E-02 1 87.50 4.0022E-02 1 92.50 3.1586E-02 2 100.00 2.3647E-02 3 110.00 1.7084E-02 4 120.00 1.3081E-02 5 130.00 1.0648E-02 6 140.00 9.1589E-03 7 150.00 8.2514E-03 8 160.00 7.7157E-03 9 170.00 7.4337E-03 10 180.00 7.3351E-03 Asymptotic AOP values are MUu(inf) = 0.3720 MUd(inf) = 0.7451 MU(inf) = 0.6812 R(inf) = 0.0303 Lu(inf)/Ed(inf) = 0.006155 (1/sr) k(inf) = 0.1724 (1/m) absorp(check) = 0.1174 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 465.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.8734E-01 2.1311E+00 2.3185E+00 6.7780E-02 1.4892E+00 0.3618 0.6988 0.6131 4.5515E-02 1 0.00 0.00 8.8702E-02 1.6764E+00 1.7651E+00 3.6999E-02 1.4584E+00 0.4171 0.8700 0.8053 2.5369E-02 3 7.16 10.00 2.3214E-02 3.8941E-01 4.1262E-01 8.8446E-03 3.0060E-01 0.3810 0.7719 0.7071 2.9423E-02 5 14.32 20.00 4.5112E-03 7.4101E-02 7.8612E-02 1.6911E-03 5.5727E-02 0.3749 0.7520 0.6874 3.0347E-02 7 21.48 30.00 8.2324E-04 1.3458E-02 1.4281E-02 3.0727E-04 1.0051E-02 0.3733 0.7469 0.6823 3.0570E-02 9 28.64 40.00 1.4774E-04 2.4135E-03 2.5613E-03 5.5071E-05 1.7992E-03 0.3728 0.7454 0.6809 3.0609E-02 11 35.80 50.00 2.6394E-05 4.3133E-04 4.5773E-04 9.8340E-06 3.2136E-04 0.3726 0.7450 0.6806 3.0601E-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 0.08320 0.11640 0.11473 0.10820 0.14455 0.14550 0.13820 10.000 10.010 10.005 0.15684 0.16079 0.16057 0.15984 0.16555 0.16573 0.16449 20.000 20.010 20.005 0.16829 0.16922 0.16917 0.16907 0.17047 0.17051 0.17030 30.000 30.010 30.005 0.17128 0.17147 0.17146 0.17151 0.17180 0.17181 0.17186 40.000 40.010 40.005 0.17210 0.17209 0.17209 0.17217 0.17218 0.17218 0.17229 50.000 50.010 50.005 0.17232 0.17227 0.17227 0.17235 0.17230 0.17230 0.17241 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 4.74167E-03 8.42910E-03 1.31708E-02 3.18406E-03 0.065666 9 1 10.0 0.0 180.0 7.92052E-02 4.84810E-03 2.69613E-03 7.54424E-03 3.25553E-03 0.034040 9 4 10.0 45.0 135.0 8.70251E-02 4.81717E-03 3.10798E-03 7.92515E-03 3.23476E-03 0.035714 9 7 10.0 90.0 90.0 1.17578E-01 4.78443E-03 6.19937E-03 1.09838E-02 3.21277E-03 0.052726 8 1 20.0 0.0 180.0 6.22146E-02 4.91875E-03 1.51161E-03 6.43036E-03 3.30297E-03 0.024297 8 4 20.0 45.0 135.0 6.92616E-02 4.85207E-03 1.77032E-03 6.62240E-03 3.25819E-03 0.025560 8 7 20.0 90.0 90.0 1.01846E-01 4.81153E-03 3.78355E-03 8.59508E-03 3.23097E-03 0.037150 7 1 30.0 0.0 180.0 5.39434E-02 5.01527E-03 1.29855E-03 6.31382E-03 3.36778E-03 0.024072 7 4 30.0 45.0 135.0 5.98005E-02 4.98361E-03 1.45774E-03 6.44135E-03 3.34652E-03 0.024377 7 7 30.0 90.0 90.0 8.72468E-02 4.90955E-03 2.46870E-03 7.37824E-03 3.29679E-03 0.028296 6 1 40.0 0.0 180.0 5.12025E-02 5.09757E-03 1.44382E-03 6.54139E-03 3.42305E-03 0.028198 6 4 40.0 45.0 135.0 5.59872E-02 5.05285E-03 1.56591E-03 6.61876E-03 3.39302E-03 0.027969 6 7 40.0 90.0 90.0 7.86051E-02 4.98346E-03 2.26558E-03 7.24903E-03 3.34642E-03 0.028822 5 1 50.0 0.0 180.0 5.36841E-02 5.20163E-03 2.28075E-03 7.48238E-03 3.49292E-03 0.042485 5 4 50.0 45.0 135.0 5.72076E-02 5.12662E-03 2.37612E-03 7.50274E-03 3.44255E-03 0.041535 5 7 50.0 90.0 90.0 7.60432E-02 5.07455E-03 3.07186E-03 8.14642E-03 3.40759E-03 0.040396 4 1 60.0 0.0 180.0 6.37239E-02 5.16427E-03 5.31308E-03 1.04773E-02 3.46783E-03 0.083377 4 4 60.0 45.0 135.0 6.51660E-02 5.08223E-03 5.24657E-03 1.03288E-02 3.41275E-03 0.080511 4 7 60.0 90.0 90.0 8.04715E-02 5.10685E-03 6.12680E-03 1.12336E-02 3.42928E-03 0.076136 3 1 70.0 0.0 180.0 8.84173E-02 4.82898E-03 1.46761E-02 1.95051E-02 3.24269E-03 0.165987 3 4 70.0 45.0 135.0 8.59287E-02 4.80528E-03 1.41212E-02 1.89264E-02 3.22677E-03 0.164336 3 7 70.0 90.0 90.0 9.60663E-02 4.85040E-03 1.53561E-02 2.02065E-02 3.25707E-03 0.159849 2 1 80.0 0.0 180.0 1.50222E-01 4.16477E-03 3.64805E-02 4.06453E-02 2.79667E-03 0.242843 2 4 80.0 45.0 135.0 1.39103E-01 4.13624E-03 3.52842E-02 3.94205E-02 2.77751E-03 0.253655 2 7 80.0 90.0 90.0 1.38200E-01 4.19399E-03 3.69522E-02 4.11462E-02 2.81629E-03 0.267382 1 1 87.5 0.0 180.0 2.42882E-01 3.37590E-03 6.43384E-02 6.77143E-02 2.26694E-03 0.264896 1 4 87.5 45.0 135.0 2.18685E-01 3.19402E-03 6.39412E-02 6.71352E-02 2.14480E-03 0.292389 1 7 87.5 90.0 90.0 1.98955E-01 3.60018E-03 6.54396E-02 6.90398E-02 2.41754E-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 1.317E-02 1.284E-01 1.553E-01 1.340E-01 2.007E-01 8.844E-03 5.146E+00 4.742E-03 3.184E-03 1 0.00 0.00 8.796E-03 2.389E-01 1.795E-02 2.119E-02 3.017E-02 6.031E-03 4.206E+00 3 7.16 10.00 1.866E-03 2.048E-01 5.593E-03 7.419E-03 1.190E-02 6.206E-03 4.741E+00 5 14.32 20.00 3.477E-04 4.550E-02 1.244E-03 1.561E-03 2.170E-03 6.240E-03 4.864E+00 7 21.48 30.00 6.274E-05 8.437E-03 2.518E-04 2.950E-04 3.627E-04 6.242E-03 4.898E+00 9 28.64 40.00 1.122E-05 1.513E-03 4.846E-05 5.374E-05 6.086E-05 6.236E-03 4.908E+00 11 35.80 50.00 2.002E-06 2.699E-04 9.053E-06 9.661E-06 1.040E-05 6.229E-03 4.913E+00 Waveband 7 of 30 completed in 6.6 sec. * * * * * Output for wavelength band 8 (470.0 to 480.0 nm; nominal wavelength = 475.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 84.1 m at 475.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 470.0 nm to 480.0 nm: Ed(diffuse) = 4.727E-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 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0114 0.0856 0.0126 0.1096 3 6.954 10.000 0.0114 0.0856 0.0126 0.1096 5 13.908 20.000 0.0114 0.0856 0.0126 0.1096 7 20.862 30.000 0.0114 0.0856 0.0126 0.1096 9 27.816 40.000 0.0114 0.0856 0.0126 0.1096 11 34.770 50.000 0.0114 0.0856 0.0126 0.1096 Scattering Coefficients of Individual Components at 475.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0036 0.5822 0.0000 0.5858 3 6.954 10.000 0.0036 0.5822 0.0000 0.5858 5 13.908 20.000 0.0036 0.5822 0.0000 0.5858 7 20.862 30.000 0.0036 0.5822 0.0000 0.5858 9 27.816 40.000 0.0036 0.5822 0.0000 0.5858 11 34.770 50.000 0.0036 0.5822 0.0000 0.5858 Backscattering Coefficients of Individual Components at 475.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00180 0.00582 0.00000 0.00762 3 6.954 10.000 0.00180 0.00582 0.00000 0.00762 5 13.908 20.000 0.00180 0.00582 0.00000 0.00762 7 20.862 30.000 0.00180 0.00582 0.00000 0.00762 9 27.816 40.000 0.00180 0.00582 0.00000 0.00762 11 34.770 50.000 0.00180 0.00582 0.00000 0.00762 Summary of Inherent Optical Properties at 475.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1096 0.5858 0.6954 0.8424 0.00762 0.01302 3 6.954 10.000 0.1096 0.5858 0.6954 0.8424 0.00762 0.01302 5 13.908 20.000 0.1096 0.5858 0.6954 0.8424 0.00762 0.01302 7 20.862 30.000 0.1096 0.5858 0.6954 0.8424 0.00762 0.01302 9 27.816 40.000 0.1096 0.5858 0.6954 0.8424 0.00762 0.01302 11 34.770 50.000 0.1096 0.5858 0.6954 0.8424 0.00762 0.01302 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3358E-01 8 20.00 7.7635E-01 7 30.00 5.7979E-01 6 40.00 3.9649E-01 5 50.00 2.5421E-01 4 60.00 1.5694E-01 3 70.00 9.5909E-02 2 80.00 5.9785E-02 1 87.50 4.2614E-02 1 92.50 3.3668E-02 2 100.00 2.5225E-02 3 110.00 1.8218E-02 4 120.00 1.3924E-02 5 130.00 1.1305E-02 6 140.00 9.6976E-03 7 150.00 8.7149E-03 8 160.00 8.1332E-03 9 170.00 7.8265E-03 10 180.00 7.7192E-03 Asymptotic AOP values are MUu(inf) = 0.3711 MUd(inf) = 0.7412 MU(inf) = 0.6751 R(inf) = 0.0316 Lu(inf)/Ed(inf) = 0.006360 (1/sr) k(inf) = 0.1624 (1/m) absorp(check) = 0.1096 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 475.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.8899E-01 2.1546E+00 2.3436E+00 6.9053E-02 1.5117E+00 0.3654 0.7016 0.6156 4.5680E-02 1 0.00 0.00 9.3690E-02 1.7040E+00 1.7977E+00 3.9102E-02 1.4817E+00 0.4174 0.8695 0.8025 2.6390E-02 3 6.95 10.00 2.7133E-02 4.3844E-01 4.6557E-01 1.0337E-02 3.3779E-01 0.3810 0.7704 0.7033 3.0601E-02 5 13.91 20.00 5.8556E-03 9.2640E-02 9.8496E-02 2.1920E-03 6.9408E-02 0.3743 0.7492 0.6824 3.1582E-02 7 20.86 30.00 1.1839E-03 1.8646E-02 1.9829E-02 4.4093E-04 1.3861E-02 0.3725 0.7434 0.6768 3.1810E-02 9 27.82 40.00 2.3506E-04 3.7010E-03 3.9361E-03 8.7401E-05 2.7452E-03 0.3718 0.7417 0.6752 3.1838E-02 11 34.77 50.00 4.6431E-05 7.3157E-04 7.7800E-04 1.7253E-05 5.4228E-04 0.3716 0.7413 0.6748 3.1815E-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 0.07651 0.10796 0.10632 0.10009 0.13520 0.13615 0.12921 10.000 10.010 10.005 0.14625 0.15024 0.15001 0.14942 0.15524 0.15543 0.15435 20.000 20.010 20.005 0.15794 0.15885 0.15880 0.15881 0.16023 0.16027 0.16021 30.000 30.010 30.005 0.16113 0.16128 0.16127 0.16140 0.16167 0.16168 0.16185 40.000 40.010 40.005 0.16203 0.16199 0.16199 0.16213 0.16210 0.16210 0.16230 50.000 50.010 50.005 0.16229 0.16221 0.16221 0.16234 0.16224 0.16224 0.16242 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 4.99392E-03 8.53835E-03 1.35323E-02 3.30355E-03 0.066936 9 1 10.0 0.0 180.0 7.87103E-02 5.10156E-03 2.70103E-03 7.80258E-03 3.37475E-03 0.034316 9 4 10.0 45.0 135.0 8.64814E-02 5.07060E-03 3.11653E-03 8.18713E-03 3.35427E-03 0.036037 9 7 10.0 90.0 90.0 1.16844E-01 5.04004E-03 6.26082E-03 1.13009E-02 3.33406E-03 0.053583 8 1 20.0 0.0 180.0 6.18259E-02 5.17451E-03 1.50327E-03 6.67778E-03 3.42301E-03 0.024315 8 4 20.0 45.0 135.0 6.88288E-02 5.10700E-03 1.76211E-03 6.86911E-03 3.37835E-03 0.025601 8 7 20.0 90.0 90.0 1.01210E-01 5.07078E-03 3.79801E-03 8.86879E-03 3.35440E-03 0.037526 7 1 30.0 0.0 180.0 5.36063E-02 5.27552E-03 1.29043E-03 6.56596E-03 3.48984E-03 0.024072 7 4 30.0 45.0 135.0 5.94277E-02 5.24590E-03 1.44877E-03 6.69467E-03 3.47024E-03 0.024379 7 7 30.0 90.0 90.0 8.66965E-02 5.17694E-03 2.46077E-03 7.63770E-03 3.42462E-03 0.028384 6 1 40.0 0.0 180.0 5.08826E-02 5.36286E-03 1.43480E-03 6.79767E-03 3.54761E-03 0.028198 6 4 40.0 45.0 135.0 5.56374E-02 5.32071E-03 1.55613E-03 6.87684E-03 3.51972E-03 0.027969 6 7 40.0 90.0 90.0 7.81140E-02 5.25963E-03 2.25191E-03 7.51154E-03 3.47932E-03 0.028829 5 1 50.0 0.0 180.0 5.33487E-02 5.47389E-03 2.26650E-03 7.74038E-03 3.62105E-03 0.042485 5 4 50.0 45.0 135.0 5.68502E-02 5.40073E-03 2.36127E-03 7.76201E-03 3.57266E-03 0.041535 5 7 50.0 90.0 90.0 7.55680E-02 5.36007E-03 3.05267E-03 8.41274E-03 3.54577E-03 0.040396 4 1 60.0 0.0 180.0 6.33257E-02 5.43629E-03 5.27988E-03 1.07162E-02 3.59618E-03 0.083377 4 4 60.0 45.0 135.0 6.47589E-02 5.35639E-03 5.21379E-03 1.05702E-02 3.54333E-03 0.080511 4 7 60.0 90.0 90.0 7.99687E-02 5.39826E-03 6.08852E-03 1.14868E-02 3.57103E-03 0.076136 3 1 70.0 0.0 180.0 8.78649E-02 5.08518E-03 1.45844E-02 1.96696E-02 3.36392E-03 0.165987 3 4 70.0 45.0 135.0 8.53918E-02 5.06685E-03 1.40329E-02 1.90998E-02 3.35180E-03 0.164336 3 7 70.0 90.0 90.0 9.54660E-02 5.13066E-03 1.52602E-02 2.03908E-02 3.39401E-03 0.159849 2 1 80.0 0.0 180.0 1.49284E-01 4.38704E-03 3.62526E-02 4.06396E-02 2.90209E-03 0.242843 2 4 80.0 45.0 135.0 1.38234E-01 4.36305E-03 3.50637E-02 3.94268E-02 2.88622E-03 0.253655 2 7 80.0 90.0 90.0 1.37336E-01 4.43855E-03 3.67213E-02 4.11598E-02 2.93617E-03 0.267382 1 1 87.5 0.0 180.0 2.41364E-01 3.55684E-03 6.39364E-02 6.74933E-02 2.35290E-03 0.264896 1 4 87.5 45.0 135.0 2.17319E-01 3.37003E-03 6.35417E-02 6.69117E-02 2.22933E-03 0.292389 1 7 87.5 90.0 90.0 1.97712E-01 3.81127E-03 6.50307E-02 6.88420E-02 2.52121E-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 1.353E-02 1.276E-01 1.544E-01 1.333E-01 1.996E-01 8.952E-03 5.103E+00 4.994E-03 3.304E-03 1 0.00 0.00 9.264E-03 2.375E-01 1.886E-02 2.233E-02 3.182E-02 6.252E-03 4.221E+00 3 6.95 10.00 2.169E-03 2.264E-01 6.478E-03 8.624E-03 1.391E-02 6.422E-03 4.765E+00 5 13.91 20.00 4.474E-04 5.582E-02 1.600E-03 2.020E-03 2.836E-03 6.446E-03 4.899E+00 7 20.86 30.00 8.926E-05 1.145E-02 3.592E-04 4.239E-04 5.264E-04 6.439E-03 4.940E+00 9 27.82 40.00 1.764E-05 2.270E-03 7.666E-05 8.555E-05 9.767E-05 6.427E-03 4.954E+00 11 34.77 50.00 3.479E-06 4.476E-04 1.586E-05 1.702E-05 1.844E-05 6.415E-03 4.959E+00 Waveband 8 of 30 completed in 6.4 sec. * * * * * Output for wavelength band 9 (480.0 to 490.0 nm; nominal wavelength = 485.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 84.1 m at 485.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 480.0 nm to 490.0 nm: Ed(diffuse) = 4.491E-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 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0136 0.0794 0.0110 0.1040 3 6.775 10.000 0.0136 0.0794 0.0110 0.1040 5 13.549 20.000 0.0136 0.0794 0.0110 0.1040 7 20.324 30.000 0.0136 0.0794 0.0110 0.1040 9 27.098 40.000 0.0136 0.0794 0.0110 0.1040 11 33.873 50.000 0.0136 0.0794 0.0110 0.1040 Scattering Coefficients of Individual Components at 485.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0033 0.5702 0.0000 0.5735 3 6.775 10.000 0.0033 0.5702 0.0000 0.5735 5 13.549 20.000 0.0033 0.5702 0.0000 0.5735 7 20.324 30.000 0.0033 0.5702 0.0000 0.5735 9 27.098 40.000 0.0033 0.5702 0.0000 0.5735 11 33.873 50.000 0.0033 0.5702 0.0000 0.5735 Backscattering Coefficients of Individual Components at 485.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00165 0.00570 0.00000 0.00735 3 6.775 10.000 0.00165 0.00570 0.00000 0.00735 5 13.549 20.000 0.00165 0.00570 0.00000 0.00735 7 20.324 30.000 0.00165 0.00570 0.00000 0.00735 9 27.098 40.000 0.00165 0.00570 0.00000 0.00735 11 33.873 50.000 0.00165 0.00570 0.00000 0.00735 Summary of Inherent Optical Properties at 485.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1040 0.5735 0.6775 0.8465 0.00735 0.01282 3 6.775 10.000 0.1040 0.5735 0.6775 0.8465 0.00735 0.01282 5 13.549 20.000 0.1040 0.5735 0.6775 0.8465 0.00735 0.01282 7 20.324 30.000 0.1040 0.5735 0.6775 0.8465 0.00735 0.01282 9 27.098 40.000 0.1040 0.5735 0.6775 0.8465 0.00735 0.01282 11 33.873 50.000 0.1040 0.5735 0.6775 0.8465 0.00735 0.01282 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3478E-01 8 20.00 7.8000E-01 7 30.00 5.8553E-01 6 40.00 4.0295E-01 5 50.00 2.6009E-01 4 60.00 1.6159E-01 3 70.00 9.9282E-02 2 80.00 6.2133E-02 1 87.50 4.4371E-02 1 92.50 3.5074E-02 2 100.00 2.6283E-02 3 110.00 1.8969E-02 4 120.00 1.4474E-02 5 130.00 1.1726E-02 6 140.00 1.0036E-02 7 150.00 9.0006E-03 8 160.00 8.3869E-03 9 170.00 8.0627E-03 10 180.00 7.9495E-03 Asymptotic AOP values are MUu(inf) = 0.3703 MUd(inf) = 0.7386 MU(inf) = 0.6713 R(inf) = 0.0324 Lu(inf)/Ed(inf) = 0.006471 (1/sr) k(inf) = 0.1549 (1/m) absorp(check) = 0.1040 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 485.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.8158E-01 2.0794E+00 2.2610E+00 6.6859E-02 1.4641E+00 0.3682 0.7041 0.6180 4.5665E-02 1 0.00 0.00 9.2681E-02 1.6514E+00 1.7441E+00 3.8670E-02 1.4359E+00 0.4172 0.8695 0.8011 2.6931E-02 3 6.77 10.00 2.8918E-02 4.5790E-01 4.8682E-01 1.1009E-02 3.5255E-01 0.3807 0.7699 0.7016 3.1226E-02 5 13.55 20.00 6.7496E-03 1.0457E-01 1.1132E-01 2.5223E-03 7.8183E-02 0.3737 0.7477 0.6797 3.2262E-02 7 20.32 30.00 1.4733E-03 2.2717E-02 2.4190E-02 5.4754E-04 1.6840E-02 0.3716 0.7413 0.6735 3.2514E-02 9 27.10 40.00 3.1549E-04 4.8622E-03 5.1777E-03 1.1703E-04 3.5952E-03 0.3709 0.7394 0.6718 3.2551E-02 11 33.87 50.00 6.7170E-05 1.0358E-03 1.1030E-03 2.4898E-05 7.6527E-04 0.3707 0.7388 0.6713 3.2535E-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 0.07134 0.10188 0.10026 0.09415 0.12838 0.12933 0.12262 10.000 10.010 10.005 0.13835 0.14243 0.14219 0.14165 0.14761 0.14780 0.14679 20.000 20.010 20.005 0.15019 0.15115 0.15109 0.15113 0.15263 0.15268 0.15265 30.000 30.010 30.005 0.15353 0.15370 0.15369 0.15383 0.15414 0.15415 0.15433 40.000 40.010 40.005 0.15451 0.15448 0.15448 0.15462 0.15461 0.15461 0.15481 50.000 50.010 50.005 0.15480 0.15473 0.15473 0.15485 0.15477 0.15477 0.15493 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 4.91951E-03 8.25403E-03 1.31735E-02 3.36010E-03 0.068111 9 1 10.0 0.0 180.0 7.47760E-02 5.02227E-03 2.58514E-03 7.60741E-03 3.43029E-03 0.034572 9 4 10.0 45.0 135.0 8.21586E-02 4.99298E-03 2.98536E-03 7.97834E-03 3.41028E-03 0.036337 9 7 10.0 90.0 90.0 1.11003E-01 4.96585E-03 6.03602E-03 1.10019E-02 3.39175E-03 0.054377 8 1 20.0 0.0 180.0 5.87355E-02 5.09324E-03 1.42909E-03 6.52234E-03 3.47876E-03 0.024331 8 4 20.0 45.0 135.0 6.53884E-02 5.02875E-03 1.67654E-03 6.70529E-03 3.43471E-03 0.025640 8 7 20.0 90.0 90.0 9.61506E-02 4.99802E-03 3.64169E-03 8.63971E-03 3.41372E-03 0.037875 7 1 30.0 0.0 180.0 5.09268E-02 5.19253E-03 1.22593E-03 6.41846E-03 3.54658E-03 0.024072 7 4 30.0 45.0 135.0 5.64580E-02 5.16612E-03 1.37647E-03 6.54259E-03 3.52854E-03 0.024380 7 7 30.0 90.0 90.0 8.23585E-02 5.10512E-03 2.34436E-03 7.44948E-03 3.48687E-03 0.028465 6 1 40.0 0.0 180.0 4.83392E-02 5.27947E-03 1.36308E-03 6.64256E-03 3.60596E-03 0.028198 6 4 40.0 45.0 135.0 5.28563E-02 5.24165E-03 1.47835E-03 6.71999E-03 3.58012E-03 0.027969 6 7 40.0 90.0 90.0 7.42095E-02 5.19085E-03 2.13978E-03 7.33063E-03 3.54543E-03 0.028834 5 1 50.0 0.0 180.0 5.06821E-02 5.39031E-03 2.15321E-03 7.54352E-03 3.68167E-03 0.042485 5 4 50.0 45.0 135.0 5.40086E-02 5.32268E-03 2.24325E-03 7.56593E-03 3.63547E-03 0.041535 5 7 50.0 90.0 90.0 7.17908E-02 5.29392E-03 2.90008E-03 8.19401E-03 3.61583E-03 0.040396 4 1 60.0 0.0 180.0 6.01604E-02 5.35497E-03 5.01597E-03 1.03709E-02 3.65753E-03 0.083377 4 4 60.0 45.0 135.0 6.15219E-02 5.28125E-03 4.95318E-03 1.02344E-02 3.60717E-03 0.080511 4 7 60.0 90.0 90.0 7.59715E-02 5.33548E-03 5.78419E-03 1.11197E-02 3.64421E-03 0.076136 3 1 70.0 0.0 180.0 8.34730E-02 5.01093E-03 1.38554E-02 1.88664E-02 3.42254E-03 0.165987 3 4 70.0 45.0 135.0 8.11235E-02 4.99806E-03 1.33315E-02 1.83296E-02 3.41375E-03 0.164336 3 7 70.0 90.0 90.0 9.06942E-02 5.07455E-03 1.44974E-02 1.95719E-02 3.46599E-03 0.159849 2 1 80.0 0.0 180.0 1.41822E-01 4.32433E-03 3.44405E-02 3.87648E-02 2.95358E-03 0.242843 2 4 80.0 45.0 135.0 1.31324E-01 4.30550E-03 3.33111E-02 3.76166E-02 2.94072E-03 0.253655 2 7 80.0 90.0 90.0 1.30472E-01 4.39245E-03 3.48858E-02 3.92782E-02 3.00011E-03 0.267382 1 1 87.5 0.0 180.0 2.29300E-01 3.50689E-03 6.07406E-02 6.42475E-02 2.39526E-03 0.264896 1 4 87.5 45.0 135.0 2.06456E-01 3.32660E-03 6.03656E-02 6.36922E-02 2.27212E-03 0.292389 1 7 87.5 90.0 90.0 1.87830E-01 3.77326E-03 6.17802E-02 6.55534E-02 2.57719E-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 1.317E-02 1.212E-01 1.468E-01 1.267E-01 1.897E-01 8.998E-03 5.075E+00 4.920E-03 3.360E-03 1 0.00 0.00 9.125E-03 2.256E-01 1.858E-02 2.207E-02 3.152E-02 6.355E-03 4.238E+00 3 6.77 10.00 2.299E-03 2.332E-01 6.853E-03 9.161E-03 1.487E-02 6.520E-03 4.789E+00 5 13.55 20.00 5.114E-04 6.223E-02 1.829E-03 2.325E-03 3.295E-03 6.541E-03 4.932E+00 7 20.32 30.00 1.100E-04 1.377E-02 4.440E-04 5.276E-04 6.616E-04 6.533E-03 4.977E+00 9 27.10 40.00 2.344E-05 2.941E-03 1.024E-04 1.150E-04 1.323E-04 6.520E-03 4.993E+00 11 33.87 50.00 4.981E-06 6.246E-04 2.288E-05 2.466E-05 2.687E-05 6.508E-03 4.999E+00 Waveband 9 of 30 completed in 6.2 sec. * * * * * Output for wavelength band 10 (490.0 to 500.0 nm; nominal wavelength = 495.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 84.1 m at 495.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 490.0 nm to 500.0 nm: Ed(diffuse) = 4.478E-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 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0173 0.0732 0.0095 0.1001 3 6.617 10.000 0.0173 0.0732 0.0095 0.1001 5 13.235 20.000 0.0173 0.0732 0.0095 0.1001 7 19.852 30.000 0.0173 0.0732 0.0095 0.1001 9 26.469 40.000 0.0173 0.0732 0.0095 0.1001 11 33.087 50.000 0.0173 0.0732 0.0095 0.1001 Scattering Coefficients of Individual Components at 495.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0030 0.5587 0.0000 0.5617 3 6.617 10.000 0.0030 0.5587 0.0000 0.5617 5 13.235 20.000 0.0030 0.5587 0.0000 0.5617 7 19.852 30.000 0.0030 0.5587 0.0000 0.5617 9 26.469 40.000 0.0030 0.5587 0.0000 0.5617 11 33.087 50.000 0.0030 0.5587 0.0000 0.5617 Backscattering Coefficients of Individual Components at 495.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00151 0.00559 0.00000 0.00710 3 6.617 10.000 0.00151 0.00559 0.00000 0.00710 5 13.235 20.000 0.00151 0.00559 0.00000 0.00710 7 19.852 30.000 0.00151 0.00559 0.00000 0.00710 9 26.469 40.000 0.00151 0.00559 0.00000 0.00710 11 33.087 50.000 0.00151 0.00559 0.00000 0.00710 Summary of Inherent Optical Properties at 495.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1001 0.5617 0.6617 0.8488 0.00710 0.01263 3 6.617 10.000 0.1001 0.5617 0.6617 0.8488 0.00710 0.01263 5 13.235 20.000 0.1001 0.5617 0.6617 0.8488 0.00710 0.01263 7 19.852 30.000 0.1001 0.5617 0.6617 0.8488 0.00710 0.01263 9 26.469 40.000 0.1001 0.5617 0.6617 0.8488 0.00710 0.01263 11 33.087 50.000 0.1001 0.5617 0.6617 0.8488 0.00710 0.01263 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3545E-01 8 20.00 7.8202E-01 7 30.00 5.8871E-01 6 40.00 4.0653E-01 5 50.00 2.6335E-01 4 60.00 1.6416E-01 3 70.00 1.0114E-01 2 80.00 6.3411E-02 1 87.50 4.5314E-02 1 92.50 3.5818E-02 2 100.00 2.6831E-02 3 110.00 1.9345E-02 4 120.00 1.4736E-02 5 130.00 1.1915E-02 6 140.00 1.0179E-02 7 150.00 9.1140E-03 8 160.00 8.4822E-03 9 170.00 8.1483E-03 10 180.00 8.0317E-03 Asymptotic AOP values are MUu(inf) = 0.3695 MUd(inf) = 0.7373 MU(inf) = 0.6694 R(inf) = 0.0327 Lu(inf)/Ed(inf) = 0.006495 (1/sr) k(inf) = 0.1495 (1/m) absorp(check) = 0.1001 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 495.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.8255E-01 2.1044E+00 2.2869E+00 6.7635E-02 1.4866E+00 0.3705 0.7064 0.6205 4.5496E-02 1 0.00 0.00 9.4689E-02 1.6768E+00 1.7715E+00 3.9475E-02 1.4584E+00 0.4169 0.8698 0.8010 2.7067E-02 3 6.62 10.00 3.1186E-02 4.9041E-01 5.2160E-01 1.1860E-02 3.7772E-01 0.3803 0.7702 0.7014 3.1399E-02 5 13.23 20.00 7.7100E-03 1.1851E-01 1.2622E-01 2.8764E-03 8.8540E-02 0.3731 0.7471 0.6787 3.2487E-02 7 19.85 30.00 1.7803E-03 2.7216E-02 2.8996E-02 6.6026E-04 2.0149E-02 0.3709 0.7403 0.6721 3.2769E-02 9 26.47 40.00 4.0285E-04 6.1535E-03 6.5564E-03 1.4911E-04 4.5428E-03 0.3701 0.7382 0.6701 3.2823E-02 11 33.09 50.00 9.0593E-05 1.3843E-03 1.4749E-03 3.3505E-05 1.0210E-03 0.3698 0.7376 0.6695 3.2817E-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 0.06780 0.09765 0.09606 0.08988 0.12354 0.12447 0.11786 10.000 10.010 10.005 0.13256 0.13678 0.13653 0.13596 0.14208 0.14228 0.14123 20.000 20.010 20.005 0.14450 0.14554 0.14548 0.14549 0.14710 0.14716 0.14709 30.000 30.010 30.005 0.14797 0.14818 0.14817 0.14830 0.14867 0.14868 0.14883 40.000 40.010 40.005 0.14902 0.14901 0.14901 0.14914 0.14917 0.14917 0.14934 50.000 50.010 50.005 0.14934 0.14929 0.14930 0.14939 0.14934 0.14934 0.14947 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 5.00294E-03 8.36643E-03 1.33694E-02 3.36532E-03 0.069236 9 1 10.0 0.0 180.0 7.45626E-02 5.10498E-03 2.59601E-03 7.70099E-03 3.43396E-03 0.034817 9 4 10.0 45.0 135.0 8.19242E-02 5.07609E-03 3.00032E-03 8.07642E-03 3.41453E-03 0.036623 9 7 10.0 90.0 90.0 1.10686E-01 5.05080E-03 6.10292E-03 1.11537E-02 3.39751E-03 0.055137 8 1 20.0 0.0 180.0 5.85679E-02 5.17654E-03 1.42594E-03 6.60248E-03 3.48210E-03 0.024347 8 4 20.0 45.0 135.0 6.52019E-02 5.11247E-03 1.67414E-03 6.78661E-03 3.43900E-03 0.025676 8 7 20.0 90.0 90.0 9.58762E-02 5.08503E-03 3.66329E-03 8.74832E-03 3.42054E-03 0.038209 7 1 30.0 0.0 180.0 5.07815E-02 5.27744E-03 1.22243E-03 6.49987E-03 3.54997E-03 0.024072 7 4 30.0 45.0 135.0 5.62976E-02 5.25266E-03 1.37266E-03 6.62532E-03 3.53330E-03 0.024382 7 7 30.0 90.0 90.0 8.21193E-02 5.19603E-03 2.34396E-03 7.53999E-03 3.49520E-03 0.028543 6 1 40.0 0.0 180.0 4.82013E-02 5.36668E-03 1.35919E-03 6.72587E-03 3.61000E-03 0.028198 6 4 40.0 45.0 135.0 5.27055E-02 5.33101E-03 1.47413E-03 6.80514E-03 3.58601E-03 0.027969 6 7 40.0 90.0 90.0 7.39977E-02 5.28677E-03 2.13408E-03 7.42085E-03 3.55625E-03 0.028840 5 1 50.0 0.0 180.0 5.05375E-02 5.48066E-03 2.14706E-03 7.62772E-03 3.68667E-03 0.042485 5 4 50.0 45.0 135.0 5.38545E-02 5.41528E-03 2.23684E-03 7.65212E-03 3.64269E-03 0.041535 5 7 50.0 90.0 90.0 7.15860E-02 5.39516E-03 2.89181E-03 8.28697E-03 3.62916E-03 0.040396 4 1 60.0 0.0 180.0 5.99887E-02 5.44616E-03 5.00165E-03 1.04478E-02 3.66347E-03 0.083377 4 4 60.0 45.0 135.0 6.13464E-02 5.37506E-03 4.93904E-03 1.03141E-02 3.61563E-03 0.080511 4 7 60.0 90.0 90.0 7.57547E-02 5.44092E-03 5.76768E-03 1.12086E-02 3.65994E-03 0.076136 3 1 70.0 0.0 180.0 8.32348E-02 5.09784E-03 1.38159E-02 1.89137E-02 3.42916E-03 0.165987 3 4 70.0 45.0 135.0 8.08921E-02 5.08887E-03 1.32935E-02 1.83823E-02 3.42313E-03 0.164336 3 7 70.0 90.0 90.0 9.04354E-02 5.17819E-03 1.44560E-02 1.96342E-02 3.48321E-03 0.159849 2 1 80.0 0.0 180.0 1.41417E-01 4.40054E-03 3.43422E-02 3.87428E-02 2.96010E-03 0.242843 2 4 80.0 45.0 135.0 1.30950E-01 4.38529E-03 3.32161E-02 3.76013E-02 2.94985E-03 0.253655 2 7 80.0 90.0 90.0 1.30099E-01 4.48458E-03 3.47862E-02 3.92708E-02 3.01664E-03 0.267382 1 1 87.5 0.0 180.0 2.28646E-01 3.56956E-03 6.05673E-02 6.41368E-02 2.40113E-03 0.264896 1 4 87.5 45.0 135.0 2.05867E-01 3.38927E-03 6.01933E-02 6.35826E-02 2.27986E-03 0.292389 1 7 87.5 90.0 90.0 1.87294E-01 3.85416E-03 6.16039E-02 6.54581E-02 2.59257E-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 1.337E-02 1.208E-01 1.464E-01 1.264E-01 1.892E-01 8.993E-03 5.059E+00 5.003E-03 3.365E-03 1 0.00 0.00 9.280E-03 2.250E-01 1.890E-02 2.254E-02 3.230E-02 6.363E-03 4.254E+00 3 6.62 10.00 2.466E-03 2.470E-01 7.345E-03 9.862E-03 1.610E-02 6.528E-03 4.810E+00 5 13.23 20.00 5.800E-04 7.000E-02 2.076E-03 2.655E-03 3.797E-03 6.551E-03 4.959E+00 7 19.85 30.00 1.319E-04 1.639E-02 5.334E-04 6.380E-04 8.075E-04 6.544E-03 5.007E+00 9 26.47 40.00 2.968E-05 3.696E-03 1.302E-04 1.471E-04 1.706E-04 6.533E-03 5.024E+00 11 33.09 50.00 6.660E-06 8.283E-04 3.078E-05 3.334E-05 3.654E-05 6.523E-03 5.031E+00 Waveband 10 of 30 completed in 6.2 sec. * * * * * Output for wavelength band 11 (500.0 to 510.0 nm; nominal wavelength = 505.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 84.1 m at 505.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 500.0 nm to 510.0 nm: Ed(diffuse) = 4.326E-01 Ed(direct) = 1.028E+00 Ed(total) = 1.460E+00 Absorption Coefficients of Individual Components at 505.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0256 0.0660 0.0083 0.0999 3 6.503 10.000 0.0256 0.0660 0.0083 0.0999 5 13.005 20.000 0.0256 0.0660 0.0083 0.0999 7 19.508 30.000 0.0256 0.0660 0.0083 0.0999 9 26.010 40.000 0.0256 0.0660 0.0083 0.0999 11 32.513 50.000 0.0256 0.0660 0.0083 0.0999 Scattering Coefficients of Individual Components at 505.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0028 0.5476 0.0000 0.5504 3 6.503 10.000 0.0028 0.5476 0.0000 0.5504 5 13.005 20.000 0.0028 0.5476 0.0000 0.5504 7 19.508 30.000 0.0028 0.5476 0.0000 0.5504 9 26.010 40.000 0.0028 0.5476 0.0000 0.5504 11 32.513 50.000 0.0028 0.5476 0.0000 0.5504 Backscattering Coefficients of Individual Components at 505.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00138 0.00548 0.00000 0.00686 3 6.503 10.000 0.00138 0.00548 0.00000 0.00686 5 13.005 20.000 0.00138 0.00548 0.00000 0.00686 7 19.508 30.000 0.00138 0.00548 0.00000 0.00686 9 26.010 40.000 0.00138 0.00548 0.00000 0.00686 11 32.513 50.000 0.00138 0.00548 0.00000 0.00686 Summary of Inherent Optical Properties at 505.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0999 0.5504 0.6503 0.8464 0.00686 0.01246 3 6.503 10.000 0.0999 0.5504 0.6503 0.8464 0.00686 0.01246 5 13.005 20.000 0.0999 0.5504 0.6503 0.8464 0.00686 0.01246 7 19.508 30.000 0.0999 0.5504 0.6503 0.8464 0.00686 0.01246 9 26.010 40.000 0.0999 0.5504 0.6503 0.8464 0.00686 0.01246 11 32.513 50.000 0.0999 0.5504 0.6503 0.8464 0.00686 0.01246 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3475E-01 8 20.00 7.7989E-01 7 30.00 5.8530E-01 6 40.00 4.0261E-01 5 50.00 2.5968E-01 4 60.00 1.6115E-01 3 70.00 9.8859E-02 2 80.00 6.1737E-02 1 87.50 4.3999E-02 1 92.50 3.4720E-02 2 100.00 2.5952E-02 3 110.00 1.8664E-02 4 120.00 1.4189E-02 5 130.00 1.1455E-02 6 140.00 9.7746E-03 7 150.00 8.7457E-03 8 160.00 8.1359E-03 9 170.00 7.8138E-03 10 180.00 7.7014E-03 Asymptotic AOP values are MUu(inf) = 0.3686 MUd(inf) = 0.7390 MU(inf) = 0.6728 R(inf) = 0.0317 Lu(inf)/Ed(inf) = 0.006274 (1/sr) k(inf) = 0.1485 (1/m) absorp(check) = 0.0999 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 505.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.7657E-01 2.0611E+00 2.2377E+00 6.5634E-02 1.4605E+00 0.3717 0.7086 0.6233 4.4940E-02 1 0.00 0.00 9.0360E-02 1.6448E+00 1.7351E+00 3.7592E-02 1.4324E+00 0.4160 0.8709 0.8039 2.6244E-02 3 6.50 10.00 2.9998E-02 4.8453E-01 5.1453E-01 1.1386E-02 3.7427E-01 0.3796 0.7724 0.7053 3.0422E-02 5 13.01 20.00 7.4970E-03 1.1830E-01 1.2580E-01 2.7907E-03 8.8631E-02 0.3722 0.7492 0.6824 3.1487E-02 7 19.51 30.00 1.7494E-03 2.7451E-02 2.9200E-02 6.4727E-04 2.0375E-02 0.3700 0.7422 0.6756 3.1768E-02 9 26.01 40.00 3.9992E-04 6.2696E-03 6.6695E-03 1.4766E-04 4.6399E-03 0.3692 0.7401 0.6735 3.1825E-02 11 32.51 50.00 9.0849E-05 1.4246E-03 1.5155E-03 3.3517E-05 1.0533E-03 0.3689 0.7393 0.6729 3.1821E-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 0.06706 0.09732 0.09574 0.08947 0.12291 0.12381 0.11732 10.000 10.010 10.005 0.13152 0.13579 0.13555 0.13493 0.14108 0.14127 0.14025 20.000 20.010 20.005 0.14343 0.14450 0.14443 0.14443 0.14608 0.14613 0.14608 30.000 30.010 30.005 0.14694 0.14717 0.14715 0.14727 0.14766 0.14767 0.14782 40.000 40.010 40.005 0.14801 0.14802 0.14802 0.14813 0.14817 0.14817 0.14834 50.000 50.010 50.005 0.14834 0.14830 0.14830 0.14839 0.14835 0.14835 0.14848 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 4.74947E-03 8.20628E-03 1.29557E-02 3.25199E-03 0.070301 9 1 10.0 0.0 180.0 7.20279E-02 4.84574E-03 2.52445E-03 7.37019E-03 3.31791E-03 0.035048 9 4 10.0 45.0 135.0 7.91393E-02 4.81851E-03 2.91979E-03 7.73831E-03 3.29927E-03 0.036894 9 7 10.0 90.0 90.0 1.06924E-01 4.79505E-03 5.97233E-03 1.07674E-02 3.28321E-03 0.055856 8 1 20.0 0.0 180.0 5.65770E-02 4.91354E-03 1.37831E-03 6.29185E-03 3.36434E-03 0.024362 8 4 20.0 45.0 135.0 6.29854E-02 4.85302E-03 1.61942E-03 6.47244E-03 3.32290E-03 0.025711 8 7 20.0 90.0 90.0 9.26170E-02 4.82795E-03 3.56800E-03 8.39595E-03 3.30573E-03 0.038524 7 1 30.0 0.0 180.0 4.90553E-02 5.00931E-03 1.18088E-03 6.19019E-03 3.42991E-03 0.024072 7 4 30.0 45.0 135.0 5.43844E-02 4.98621E-03 1.32610E-03 6.31231E-03 3.41409E-03 0.024384 7 7 30.0 90.0 90.0 7.93238E-02 4.93391E-03 2.27003E-03 7.20394E-03 3.37828E-03 0.028617 6 1 40.0 0.0 180.0 4.65627E-02 5.09423E-03 1.31299E-03 6.40722E-03 3.48805E-03 0.028198 6 4 40.0 45.0 135.0 5.09138E-02 5.06097E-03 1.42402E-03 6.48499E-03 3.46528E-03 0.027969 6 7 40.0 90.0 90.0 7.14822E-02 5.02125E-03 2.06191E-03 7.08317E-03 3.43809E-03 0.028845 5 1 50.0 0.0 180.0 4.88195E-02 5.20284E-03 2.07407E-03 7.27691E-03 3.56242E-03 0.042485 5 4 50.0 45.0 135.0 5.20237E-02 5.14160E-03 2.16080E-03 7.30240E-03 3.52049E-03 0.041535 5 7 50.0 90.0 90.0 6.91524E-02 5.12572E-03 2.79351E-03 7.91923E-03 3.50961E-03 0.040396 4 1 60.0 0.0 180.0 5.79495E-02 5.17062E-03 4.83163E-03 1.00022E-02 3.54036E-03 0.083377 4 4 60.0 45.0 135.0 5.92610E-02 5.10417E-03 4.77115E-03 9.87532E-03 3.49486E-03 0.080511 4 7 60.0 90.0 90.0 7.31795E-02 5.17090E-03 5.57162E-03 1.07425E-02 3.54055E-03 0.076136 3 1 70.0 0.0 180.0 8.04053E-02 4.84071E-03 1.33462E-02 1.81870E-02 3.31447E-03 0.165987 3 4 70.0 45.0 135.0 7.81422E-02 4.83352E-03 1.28416E-02 1.76751E-02 3.30954E-03 0.164336 3 7 70.0 90.0 90.0 8.73611E-02 4.92347E-03 1.39646E-02 1.88881E-02 3.37113E-03 0.159849 2 1 80.0 0.0 180.0 1.36610E-01 4.17934E-03 3.31748E-02 3.73541E-02 2.86162E-03 0.242843 2 4 80.0 45.0 135.0 1.26498E-01 4.16627E-03 3.20869E-02 3.62532E-02 2.85267E-03 0.253655 2 7 80.0 90.0 90.0 1.25677E-01 4.26590E-03 3.36037E-02 3.78696E-02 2.92089E-03 0.267382 1 1 87.5 0.0 180.0 2.20873E-01 3.39089E-03 5.85083E-02 6.18992E-02 2.32177E-03 0.264896 1 4 87.5 45.0 135.0 1.98869E-01 3.22093E-03 5.81471E-02 6.13680E-02 2.20539E-03 0.292389 1 7 87.5 90.0 90.0 1.80927E-01 3.66807E-03 5.95098E-02 6.31778E-02 2.51156E-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 1.296E-02 1.167E-01 1.414E-01 1.221E-01 1.828E-01 8.871E-03 5.066E+00 4.749E-03 3.252E-03 1 0.00 0.00 8.810E-03 2.173E-01 1.801E-02 2.156E-02 3.105E-02 6.150E-03 4.267E+00 3 6.50 10.00 2.360E-03 2.433E-01 7.053E-03 9.511E-03 1.564E-02 6.307E-03 4.824E+00 5 13.01 20.00 5.609E-04 7.022E-02 2.014E-03 2.589E-03 3.736E-03 6.328E-03 4.976E+00 7 19.51 30.00 1.288E-04 1.667E-02 5.231E-04 6.294E-04 8.035E-04 6.322E-03 5.025E+00 9 26.01 40.00 2.928E-05 3.801E-03 1.291E-04 1.467E-04 1.713E-04 6.311E-03 5.043E+00 11 32.51 50.00 6.637E-06 8.609E-04 3.088E-05 3.360E-05 3.703E-05 6.302E-03 5.050E+00 Waveband 11 of 30 completed in 6.3 sec. * * * * * Output for wavelength band 12 (510.0 to 520.0 nm; nominal wavelength = 515.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 84.1 m at 515.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 510.0 nm to 520.0 nm: Ed(diffuse) = 4.102E-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 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0396 0.0598 0.0072 0.1066 3 6.461 10.000 0.0396 0.0598 0.0072 0.1066 5 12.923 20.000 0.0396 0.0598 0.0072 0.1066 7 19.384 30.000 0.0396 0.0598 0.0072 0.1066 9 25.845 40.000 0.0396 0.0598 0.0072 0.1066 11 32.306 50.000 0.0396 0.0598 0.0072 0.1066 Scattering Coefficients of Individual Components at 515.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0025 0.5370 0.0000 0.5395 3 6.461 10.000 0.0025 0.5370 0.0000 0.5395 5 12.923 20.000 0.0025 0.5370 0.0000 0.5395 7 19.384 30.000 0.0025 0.5370 0.0000 0.5395 9 25.845 40.000 0.0025 0.5370 0.0000 0.5395 11 32.306 50.000 0.0025 0.5370 0.0000 0.5395 Backscattering Coefficients of Individual Components at 515.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00127 0.00537 0.00000 0.00664 3 6.461 10.000 0.00127 0.00537 0.00000 0.00664 5 12.923 20.000 0.00127 0.00537 0.00000 0.00664 7 19.384 30.000 0.00127 0.00537 0.00000 0.00664 9 25.845 40.000 0.00127 0.00537 0.00000 0.00664 11 32.306 50.000 0.00127 0.00537 0.00000 0.00664 Summary of Inherent Optical Properties at 515.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1066 0.5395 0.6461 0.8350 0.00664 0.01231 3 6.461 10.000 0.1066 0.5395 0.6461 0.8350 0.00664 0.01231 5 12.923 20.000 0.1066 0.5395 0.6461 0.8350 0.00664 0.01231 7 19.384 30.000 0.1066 0.5395 0.6461 0.8350 0.00664 0.01231 9 25.845 40.000 0.1066 0.5395 0.6461 0.8350 0.00664 0.01231 11 32.306 50.000 0.1066 0.5395 0.6461 0.8350 0.00664 0.01231 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3146E-01 8 20.00 7.6990E-01 7 30.00 5.6960E-01 6 40.00 3.8494E-01 5 50.00 2.4354E-01 4 60.00 1.4828E-01 3 70.00 8.9395E-02 2 80.00 5.5017E-02 1 87.50 3.8866E-02 1 92.50 3.0525E-02 2 100.00 2.2695E-02 3 110.00 1.6240E-02 4 120.00 1.2313E-02 5 130.00 9.9327E-03 6 140.00 8.4786E-03 7 150.00 7.5931E-03 8 160.00 7.0706E-03 9 170.00 6.7957E-03 10 180.00 6.6998E-03 Asymptotic AOP values are MUu(inf) = 0.3675 MUd(inf) = 0.7466 MU(inf) = 0.6855 R(inf) = 0.0285 Lu(inf)/Ed(inf) = 0.005644 (1/sr) k(inf) = 0.1555 (1/m) absorp(check) = 0.1066 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 515.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.6566E-01 1.9792E+00 2.1449E+00 6.1482E-02 1.4062E+00 0.3711 0.7105 0.6270 4.3721E-02 1 0.00 0.00 7.9105E-02 1.5769E+00 1.6560E+00 3.2764E-02 1.3775E+00 0.4142 0.8736 0.8120 2.3785E-02 3 6.46 10.00 2.4362E-02 4.3035E-01 4.5471E-01 9.2142E-03 3.3484E-01 0.3782 0.7781 0.7161 2.7518E-02 5 12.92 20.00 5.6559E-03 9.7641E-02 1.0330E-01 2.0991E-03 7.3803E-02 0.3711 0.7559 0.6942 2.8442E-02 7 19.38 30.00 1.2279E-03 2.1087E-02 2.2315E-02 4.5306E-04 1.5801E-02 0.3690 0.7493 0.6878 2.8673E-02 9 25.85 40.00 2.6133E-04 4.4855E-03 4.7468E-03 9.6230E-05 3.3521E-03 0.3682 0.7473 0.6859 2.8707E-02 11 32.31 50.00 5.5292E-05 9.4958E-04 1.0049E-03 2.0344E-05 7.0906E-04 0.3679 0.7467 0.6854 2.8691E-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 0.07195 0.10422 0.10267 0.09602 0.12999 0.13081 0.12434 10.000 10.010 10.005 0.13903 0.14326 0.14303 0.14234 0.14829 0.14846 0.14751 20.000 20.010 20.005 0.15070 0.15173 0.15168 0.15168 0.15322 0.15327 0.15327 30.000 30.010 30.005 0.15412 0.15431 0.15430 0.15444 0.15476 0.15477 0.15497 40.000 40.010 40.005 0.15514 0.15510 0.15511 0.15526 0.15524 0.15524 0.15546 50.000 50.010 50.005 0.15544 0.15536 0.15537 0.15549 0.15541 0.15541 0.15558 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 515.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.10700E-01 4.13156E-03 7.89040E-03 1.20220E-02 2.93800E-03 0.071277 9 1 10.0 0.0 180.0 6.83067E-02 4.21755E-03 2.40853E-03 6.62608E-03 2.99915E-03 0.035261 9 4 10.0 45.0 135.0 7.50506E-02 4.19296E-03 2.78762E-03 6.98058E-03 2.98167E-03 0.037143 9 7 10.0 90.0 90.0 1.01400E-01 4.17050E-03 5.73065E-03 9.90115E-03 2.96569E-03 0.056516 8 1 20.0 0.0 180.0 5.36540E-02 4.27710E-03 1.30784E-03 5.58493E-03 3.04149E-03 0.024375 8 4 20.0 45.0 135.0 5.97313E-02 4.22292E-03 1.53765E-03 5.76057E-03 3.00297E-03 0.025743 8 7 20.0 90.0 90.0 8.78321E-02 4.19779E-03 3.40910E-03 7.60689E-03 2.98510E-03 0.038814 7 1 30.0 0.0 180.0 4.65209E-02 4.36048E-03 1.11987E-03 5.48035E-03 3.10079E-03 0.024072 7 4 30.0 45.0 135.0 5.15753E-02 4.33828E-03 1.25768E-03 5.59596E-03 3.08500E-03 0.024385 7 7 30.0 90.0 90.0 7.52222E-02 4.28831E-03 2.15775E-03 6.44607E-03 3.04947E-03 0.028685 6 1 40.0 0.0 180.0 4.41571E-02 4.43358E-03 1.24515E-03 5.67873E-03 3.15277E-03 0.028198 6 4 40.0 45.0 135.0 4.82834E-02 4.40192E-03 1.35045E-03 5.75237E-03 3.13026E-03 0.027969 6 7 40.0 90.0 90.0 6.77892E-02 4.36188E-03 1.95571E-03 6.31759E-03 3.10178E-03 0.028850 5 1 50.0 0.0 180.0 4.62973E-02 4.52710E-03 1.96692E-03 6.49402E-03 3.21928E-03 0.042485 5 4 50.0 45.0 135.0 4.93360E-02 4.47077E-03 2.04917E-03 6.51994E-03 3.17922E-03 0.041535 5 7 50.0 90.0 90.0 6.55798E-02 4.45120E-03 2.64918E-03 7.10039E-03 3.16530E-03 0.040396 4 1 60.0 0.0 180.0 5.49556E-02 4.49814E-03 4.58201E-03 9.08015E-03 3.19868E-03 0.083377 4 4 60.0 45.0 135.0 5.61993E-02 4.43715E-03 4.52465E-03 8.96180E-03 3.15531E-03 0.080511 4 7 60.0 90.0 90.0 6.93988E-02 4.48953E-03 5.28376E-03 9.77330E-03 3.19256E-03 0.076136 3 1 70.0 0.0 180.0 7.62513E-02 4.21064E-03 1.26567E-02 1.68674E-02 2.99424E-03 0.165987 3 4 70.0 45.0 135.0 7.41051E-02 4.20145E-03 1.21781E-02 1.63796E-02 2.98770E-03 0.164336 3 7 70.0 90.0 90.0 8.28477E-02 4.27516E-03 1.32431E-02 1.75183E-02 3.04011E-03 0.159849 2 1 80.0 0.0 180.0 1.29552E-01 3.63531E-03 3.14609E-02 3.50962E-02 2.58511E-03 0.242843 2 4 80.0 45.0 135.0 1.19963E-01 3.62157E-03 3.04292E-02 3.40507E-02 2.57534E-03 0.253655 2 7 80.0 90.0 90.0 1.19184E-01 3.70522E-03 3.18676E-02 3.55728E-02 2.63482E-03 0.267382 1 1 87.5 0.0 180.0 2.09462E-01 2.94999E-03 5.54856E-02 5.84356E-02 2.09777E-03 0.264896 1 4 87.5 45.0 135.0 1.88595E-01 2.80051E-03 5.51430E-02 5.79435E-02 1.99148E-03 0.292389 1 7 87.5 90.0 90.0 1.71580E-01 3.18788E-03 5.64353E-02 5.96231E-02 2.26694E-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 1.202E-02 1.107E-01 1.339E-01 1.156E-01 1.732E-01 8.549E-03 5.114E+00 4.132E-03 2.938E-03 1 0.00 0.00 7.664E-03 2.061E-01 1.580E-02 1.899E-02 2.758E-02 5.563E-03 4.275E+00 3 6.46 10.00 1.910E-03 2.183E-01 5.759E-03 7.804E-03 1.294E-02 5.705E-03 4.823E+00 5 12.92 20.00 4.223E-04 5.956E-02 1.525E-03 1.971E-03 2.867E-03 5.722E-03 4.971E+00 7 19.38 30.00 9.027E-05 1.327E-02 3.688E-04 4.457E-04 5.731E-04 5.713E-03 5.019E+00 9 25.85 40.00 1.911E-05 2.831E-03 8.482E-05 9.672E-05 1.136E-04 5.701E-03 5.036E+00 11 32.31 50.00 4.034E-06 5.985E-04 1.891E-05 2.065E-05 2.285E-05 5.690E-03 5.043E+00 Waveband 12 of 30 completed in 6.5 sec. * * * * * Output for wavelength band 13 (520.0 to 530.0 nm; nominal wavelength = 525.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 84.1 m at 525.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 520.0 nm to 530.0 nm: Ed(diffuse) = 4.132E-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 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0417 0.0516 0.0063 0.0995 3 6.286 10.000 0.0417 0.0516 0.0063 0.0995 5 12.572 20.000 0.0417 0.0516 0.0063 0.0995 7 18.858 30.000 0.0417 0.0516 0.0063 0.0995 9 25.144 40.000 0.0417 0.0516 0.0063 0.0995 11 31.430 50.000 0.0417 0.0516 0.0063 0.0995 Scattering Coefficients of Individual Components at 525.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0023 0.5267 0.0000 0.5291 3 6.286 10.000 0.0023 0.5267 0.0000 0.5291 5 12.572 20.000 0.0023 0.5267 0.0000 0.5291 7 18.858 30.000 0.0023 0.5267 0.0000 0.5291 9 25.144 40.000 0.0023 0.5267 0.0000 0.5291 11 31.430 50.000 0.0023 0.5267 0.0000 0.5291 Backscattering Coefficients of Individual Components at 525.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00117 0.00527 0.00000 0.00644 3 6.286 10.000 0.00117 0.00527 0.00000 0.00644 5 12.572 20.000 0.00117 0.00527 0.00000 0.00644 7 18.858 30.000 0.00117 0.00527 0.00000 0.00644 9 25.144 40.000 0.00117 0.00527 0.00000 0.00644 11 31.430 50.000 0.00117 0.00527 0.00000 0.00644 Summary of Inherent Optical Properties at 525.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0995 0.5291 0.6286 0.8417 0.00644 0.01217 3 6.286 10.000 0.0995 0.5291 0.6286 0.8417 0.00644 0.01217 5 12.572 20.000 0.0995 0.5291 0.6286 0.8417 0.00644 0.01217 7 18.858 30.000 0.0995 0.5291 0.6286 0.8417 0.00644 0.01217 9 25.144 40.000 0.0995 0.5291 0.6286 0.8417 0.00644 0.01217 11 31.430 50.000 0.0995 0.5291 0.6286 0.8417 0.00644 0.01217 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3339E-01 8 20.00 7.7574E-01 7 30.00 5.7872E-01 6 40.00 3.9511E-01 5 50.00 2.5272E-01 4 60.00 1.5550E-01 3 70.00 9.4607E-02 2 80.00 5.8641E-02 1 87.50 4.1583E-02 1 92.50 3.2710E-02 2 100.00 2.4353E-02 3 110.00 1.7435E-02 4 120.00 1.3205E-02 5 130.00 1.0631E-02 6 140.00 9.0539E-03 7 150.00 8.0904E-03 8 160.00 7.5204E-03 9 170.00 7.2199E-03 10 180.00 7.1152E-03 Asymptotic AOP values are MUu(inf) = 0.3669 MUd(inf) = 0.7424 MU(inf) = 0.6790 R(inf) = 0.0300 Lu(inf)/Ed(inf) = 0.005880 (1/sr) k(inf) = 0.1466 (1/m) absorp(check) = 0.0995 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 525.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.6906E-01 2.0178E+00 2.1869E+00 6.3216E-02 1.4373E+00 0.3739 0.7123 0.6283 4.3981E-02 1 0.00 0.00 8.4353E-02 1.6143E+00 1.6986E+00 3.4966E-02 1.4091E+00 0.4145 0.8729 0.8090 2.4814E-02 3 6.29 10.00 2.8424E-02 4.8219E-01 5.1061E-01 1.0755E-02 3.7444E-01 0.3784 0.7765 0.7123 2.8723E-02 5 12.57 20.00 7.2514E-03 1.2010E-01 1.2735E-01 2.6895E-03 9.0436E-02 0.3709 0.7530 0.6890 2.9739E-02 7 18.86 30.00 1.7267E-03 2.8430E-02 3.0156E-02 6.3632E-04 2.1203E-02 0.3685 0.7458 0.6820 3.0011E-02 9 25.14 40.00 4.0250E-04 6.6211E-03 7.0236E-03 1.4799E-04 4.9227E-03 0.3677 0.7435 0.6798 3.0063E-02 11 31.43 50.00 9.3199E-05 1.5337E-03 1.6269E-03 3.4236E-05 1.1391E-03 0.3673 0.7427 0.6791 3.0055E-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 0.06600 0.09672 0.09520 0.08876 0.12170 0.12254 0.11625 10.000 10.010 10.005 0.12953 0.13390 0.13365 0.13299 0.13915 0.13933 0.13838 20.000 20.010 20.005 0.14136 0.14247 0.14241 0.14242 0.14410 0.14415 0.14414 30.000 30.010 30.005 0.14496 0.14519 0.14518 0.14532 0.14571 0.14572 0.14592 40.000 40.010 40.005 0.14610 0.14609 0.14609 0.14622 0.14625 0.14625 0.14645 50.000 50.010 50.005 0.14644 0.14638 0.14639 0.14650 0.14644 0.14644 0.14660 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 525.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.11508E-01 4.39484E-03 8.05409E-03 1.24489E-02 3.05760E-03 0.072229 9 1 10.0 0.0 180.0 6.88052E-02 4.48280E-03 2.44035E-03 6.92316E-03 3.11880E-03 0.035468 9 4 10.0 45.0 135.0 7.55983E-02 4.45795E-03 2.82629E-03 7.28424E-03 3.10151E-03 0.037386 9 7 10.0 90.0 90.0 1.02140E-01 4.43721E-03 5.83812E-03 1.02753E-02 3.08708E-03 0.057158 8 1 20.0 0.0 180.0 5.40455E-02 4.54514E-03 1.31810E-03 5.86324E-03 3.16217E-03 0.024389 8 4 20.0 45.0 135.0 6.01672E-02 4.48968E-03 1.55074E-03 6.04042E-03 3.12359E-03 0.025774 8 7 20.0 90.0 90.0 8.84730E-02 4.46817E-03 3.45894E-03 7.92711E-03 3.10862E-03 0.039096 7 1 30.0 0.0 180.0 4.68604E-02 4.63352E-03 1.12804E-03 5.76156E-03 3.22366E-03 0.024072 7 4 30.0 45.0 135.0 5.19522E-02 4.61289E-03 1.26695E-03 5.87984E-03 3.20931E-03 0.024387 7 7 30.0 90.0 90.0 7.57678E-02 4.56702E-03 2.17841E-03 6.74543E-03 3.17740E-03 0.028751 6 1 40.0 0.0 180.0 4.44793E-02 4.71212E-03 1.25424E-03 5.96636E-03 3.27834E-03 0.028198 6 4 40.0 45.0 135.0 4.86358E-02 4.68242E-03 1.36030E-03 6.04272E-03 3.25768E-03 0.027969 6 7 40.0 90.0 90.0 6.82839E-02 4.64952E-03 1.97030E-03 6.61982E-03 3.23479E-03 0.028855 5 1 50.0 0.0 180.0 4.66351E-02 4.81301E-03 1.98127E-03 6.79429E-03 3.34854E-03 0.042485 5 4 50.0 45.0 135.0 4.96960E-02 4.75780E-03 2.06412E-03 6.82192E-03 3.31012E-03 0.041535 5 7 50.0 90.0 90.0 6.60583E-02 4.74845E-03 2.66852E-03 7.41697E-03 3.30362E-03 0.040396 4 1 60.0 0.0 180.0 5.53566E-02 4.78384E-03 4.61544E-03 9.39928E-03 3.32824E-03 0.083377 4 4 60.0 45.0 135.0 5.66094E-02 4.72419E-03 4.55767E-03 9.28185E-03 3.28674E-03 0.080511 4 7 60.0 90.0 90.0 6.99052E-02 4.79284E-03 5.32232E-03 1.01152E-02 3.33451E-03 0.076136 3 1 70.0 0.0 180.0 7.68077E-02 4.47972E-03 1.27491E-02 1.72288E-02 3.11666E-03 0.165987 3 4 70.0 45.0 135.0 7.46458E-02 4.47529E-03 1.22670E-02 1.67423E-02 3.11357E-03 0.164336 3 7 70.0 90.0 90.0 8.34523E-02 4.56692E-03 1.33398E-02 1.79067E-02 3.17732E-03 0.159849 2 1 80.0 0.0 180.0 1.30497E-01 3.86877E-03 3.16904E-02 3.55592E-02 2.69160E-03 0.242843 2 4 80.0 45.0 135.0 1.20838E-01 3.85903E-03 3.06512E-02 3.45102E-02 2.68482E-03 0.253655 2 7 80.0 90.0 90.0 1.20054E-01 3.95992E-03 3.21002E-02 3.60601E-02 2.75502E-03 0.267382 1 1 87.5 0.0 180.0 2.10990E-01 3.14008E-03 5.58905E-02 5.90305E-02 2.18463E-03 0.264896 1 4 87.5 45.0 135.0 1.89971E-01 2.98484E-03 5.55454E-02 5.85302E-02 2.07663E-03 0.292389 1 7 87.5 90.0 90.0 1.72832E-01 3.40790E-03 5.68471E-02 6.02550E-02 2.37096E-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 1.245E-02 1.115E-01 1.350E-01 1.165E-01 1.746E-01 8.661E-03 5.078E+00 4.395E-03 3.058E-03 1 0.00 0.00 8.152E-03 2.076E-01 1.676E-02 2.020E-02 2.935E-02 5.785E-03 4.289E+00 3 6.29 10.00 2.220E-03 2.403E-01 6.659E-03 9.048E-03 1.506E-02 5.929E-03 4.844E+00 5 12.57 20.00 5.378E-04 7.188E-02 1.937E-03 2.516E-03 3.689E-03 5.946E-03 5.001E+00 7 18.86 30.00 1.259E-04 1.753E-02 5.138E-04 6.250E-04 8.109E-04 5.938E-03 5.054E+00 9 25.14 40.00 2.917E-05 4.087E-03 1.296E-04 1.487E-04 1.762E-04 5.925E-03 5.074E+00 11 31.43 50.00 6.737E-06 9.442E-04 3.168E-05 3.477E-05 3.873E-05 5.914E-03 5.082E+00 Waveband 13 of 30 completed in 6.3 sec. * * * * * Output for wavelength band 14 (530.0 to 540.0 nm; nominal wavelength = 535.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 84.1 m at 535.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 530.0 nm to 540.0 nm: Ed(diffuse) = 4.123E-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 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0452 0.0454 0.0055 0.0960 3 6.151 10.000 0.0452 0.0454 0.0055 0.0960 5 12.301 20.000 0.0452 0.0454 0.0055 0.0960 7 18.452 30.000 0.0452 0.0454 0.0055 0.0960 9 24.603 40.000 0.0452 0.0454 0.0055 0.0960 11 30.754 50.000 0.0452 0.0454 0.0055 0.0960 Scattering Coefficients of Individual Components at 535.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0022 0.5169 0.0000 0.5191 3 6.151 10.000 0.0022 0.5169 0.0000 0.5191 5 12.301 20.000 0.0022 0.5169 0.0000 0.5191 7 18.452 30.000 0.0022 0.5169 0.0000 0.5191 9 24.603 40.000 0.0022 0.5169 0.0000 0.5191 11 30.754 50.000 0.0022 0.5169 0.0000 0.5191 Backscattering Coefficients of Individual Components at 535.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00108 0.00517 0.00000 0.00625 3 6.151 10.000 0.00108 0.00517 0.00000 0.00625 5 12.301 20.000 0.00108 0.00517 0.00000 0.00625 7 18.452 30.000 0.00108 0.00517 0.00000 0.00625 9 24.603 40.000 0.00108 0.00517 0.00000 0.00625 11 30.754 50.000 0.00108 0.00517 0.00000 0.00625 Summary of Inherent Optical Properties at 535.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0960 0.5191 0.6151 0.8439 0.00625 0.01204 3 6.151 10.000 0.0960 0.5191 0.6151 0.8439 0.00625 0.01204 5 12.301 20.000 0.0960 0.5191 0.6151 0.8439 0.00625 0.01204 7 18.452 30.000 0.0960 0.5191 0.6151 0.8439 0.00625 0.01204 9 24.603 40.000 0.0960 0.5191 0.6151 0.8439 0.00625 0.01204 11 30.754 50.000 0.0960 0.5191 0.6151 0.8439 0.00625 0.01204 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3403E-01 8 20.00 7.7769E-01 7 30.00 5.8177E-01 6 40.00 3.9853E-01 5 50.00 2.5581E-01 4 60.00 1.5792E-01 3 70.00 9.6348E-02 2 80.00 5.9837E-02 1 87.50 4.2467E-02 1 92.50 3.3410E-02 2 100.00 2.4872E-02 3 110.00 1.7794E-02 4 120.00 1.3461E-02 5 130.00 1.0821E-02 6 140.00 9.2008E-03 7 150.00 8.2106E-03 8 160.00 7.6243E-03 9 170.00 7.3149E-03 10 180.00 7.2071E-03 Asymptotic AOP values are MUu(inf) = 0.3664 MUd(inf) = 0.7411 MU(inf) = 0.6771 R(inf) = 0.0303 Lu(inf)/Ed(inf) = 0.005918 (1/sr) k(inf) = 0.1418 (1/m) absorp(check) = 0.0960 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 535.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.6982E-01 2.0355E+00 2.2053E+00 6.3812E-02 1.4533E+00 0.3758 0.7140 0.6301 4.3909E-02 1 0.00 0.00 8.6047E-02 1.6325E+00 1.7185E+00 3.5652E-02 1.4251E+00 0.4143 0.8730 0.8085 2.5017E-02 3 6.15 10.00 3.0389E-02 5.1087E-01 5.4126E-01 1.1494E-02 3.9682E-01 0.3782 0.7767 0.7119 2.8966E-02 5 12.30 20.00 8.1550E-03 1.3371E-01 1.4187E-01 3.0217E-03 1.0062E-01 0.3705 0.7525 0.6880 3.0030E-02 7 18.45 30.00 2.0403E-03 3.3240E-02 3.5280E-02 7.5088E-04 2.4759E-02 0.3680 0.7449 0.6805 3.0328E-02 9 24.60 40.00 4.9928E-04 8.1248E-03 8.6241E-03 1.8330E-04 6.0313E-03 0.3671 0.7423 0.6781 3.0391E-02 11 30.75 50.00 1.2131E-04 1.9745E-03 2.0958E-03 4.4491E-05 1.4640E-03 0.3668 0.7415 0.6773 3.0389E-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 0.06285 0.09301 0.09150 0.08504 0.11745 0.11828 0.11204 10.000 10.010 10.005 0.12447 0.12895 0.12870 0.12800 0.13430 0.13449 0.13350 20.000 20.010 20.005 0.13634 0.13753 0.13746 0.13745 0.13923 0.13929 0.13926 30.000 30.010 30.005 0.14006 0.14033 0.14032 0.14045 0.14089 0.14090 0.14109 40.000 40.010 40.005 0.14125 0.14127 0.14127 0.14140 0.14146 0.14146 0.14165 50.000 50.010 50.005 0.14165 0.14160 0.14160 0.14171 0.14166 0.14166 0.14182 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 535.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.11243E-01 4.46847E-03 8.13347E-03 1.26019E-02 3.07476E-03 0.073114 9 1 10.0 0.0 180.0 6.86415E-02 4.55590E-03 2.44778E-03 7.00368E-03 3.13491E-03 0.035660 9 4 10.0 45.0 135.0 7.54184E-02 4.53136E-03 2.83658E-03 7.36794E-03 3.11803E-03 0.037611 9 7 10.0 90.0 90.0 1.01897E-01 4.51209E-03 5.88520E-03 1.03973E-02 3.10477E-03 0.057757 8 1 20.0 0.0 180.0 5.39169E-02 4.61870E-03 1.31563E-03 5.93433E-03 3.17812E-03 0.024401 8 4 20.0 45.0 135.0 6.00240E-02 4.56353E-03 1.54878E-03 6.11231E-03 3.14016E-03 0.025803 8 7 20.0 90.0 90.0 8.82625E-02 4.54467E-03 3.47390E-03 8.01857E-03 3.12719E-03 0.039359 7 1 30.0 0.0 180.0 4.67489E-02 4.70838E-03 1.12535E-03 5.83373E-03 3.23983E-03 0.024072 7 4 30.0 45.0 135.0 5.18291E-02 4.68907E-03 1.26402E-03 5.95309E-03 3.22655E-03 0.024388 7 7 30.0 90.0 90.0 7.55844E-02 4.64668E-03 2.17779E-03 6.82447E-03 3.19738E-03 0.028813 6 1 40.0 0.0 180.0 4.43735E-02 4.78874E-03 1.25125E-03 6.04000E-03 3.29513E-03 0.028198 6 4 40.0 45.0 135.0 4.85201E-02 4.76078E-03 1.35706E-03 6.11785E-03 3.27589E-03 0.027969 6 7 40.0 90.0 90.0 6.81214E-02 4.73312E-03 1.96591E-03 6.69903E-03 3.25686E-03 0.028859 5 1 50.0 0.0 180.0 4.65242E-02 4.89214E-03 1.97656E-03 6.86870E-03 3.36628E-03 0.042485 5 4 50.0 45.0 135.0 4.95778E-02 4.83870E-03 2.05921E-03 6.89791E-03 3.32951E-03 0.041535 5 7 50.0 90.0 90.0 6.59011E-02 4.83624E-03 2.66217E-03 7.49841E-03 3.32782E-03 0.040396 4 1 60.0 0.0 180.0 5.52249E-02 4.86344E-03 4.60446E-03 9.46790E-03 3.34653E-03 0.083377 4 4 60.0 45.0 135.0 5.64747E-02 4.80585E-03 4.54682E-03 9.35267E-03 3.30690E-03 0.080511 4 7 60.0 90.0 90.0 6.97389E-02 4.88384E-03 5.30966E-03 1.01935E-02 3.36057E-03 0.076136 3 1 70.0 0.0 180.0 7.66250E-02 4.55533E-03 1.27188E-02 1.72741E-02 3.13452E-03 0.165987 3 4 70.0 45.0 135.0 7.44683E-02 4.55404E-03 1.22378E-02 1.67918E-02 3.13363E-03 0.164336 3 7 70.0 90.0 90.0 8.32537E-02 4.65591E-03 1.33080E-02 1.79639E-02 3.20373E-03 0.159849 2 1 80.0 0.0 180.0 1.30187E-01 3.93488E-03 3.16150E-02 3.55499E-02 2.70759E-03 0.242843 2 4 80.0 45.0 135.0 1.20551E-01 3.92799E-03 3.05783E-02 3.45063E-02 2.70285E-03 0.253655 2 7 80.0 90.0 90.0 1.19768E-01 4.03869E-03 3.20238E-02 3.60625E-02 2.77902E-03 0.267382 1 1 87.5 0.0 180.0 2.10488E-01 3.19431E-03 5.57575E-02 5.89518E-02 2.19800E-03 0.264896 1 4 87.5 45.0 135.0 1.89519E-01 3.03885E-03 5.54132E-02 5.84521E-02 2.09103E-03 0.292389 1 7 87.5 90.0 90.0 1.72420E-01 3.47680E-03 5.67118E-02 6.01886E-02 2.39239E-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 1.260E-02 1.112E-01 1.347E-01 1.163E-01 1.742E-01 8.671E-03 5.064E+00 4.468E-03 3.075E-03 1 0.00 0.00 8.288E-03 2.071E-01 1.705E-02 2.059E-02 2.999E-02 5.816E-03 4.301E+00 3 6.15 10.00 2.366E-03 2.519E-01 7.081E-03 9.650E-03 1.613E-02 5.962E-03 4.859E+00 5 12.30 20.00 6.018E-04 7.942E-02 2.165E-03 2.825E-03 4.174E-03 5.981E-03 5.021E+00 7 18.45 30.00 1.479E-04 2.035E-02 6.034E-04 7.382E-04 9.658E-04 5.973E-03 5.078E+00 9 24.60 40.00 3.595E-05 4.979E-03 1.600E-04 1.846E-04 2.202E-04 5.961E-03 5.099E+00 11 30.75 50.00 8.711E-06 1.207E-03 4.108E-05 4.530E-05 5.076E-05 5.950E-03 5.107E+00 Waveband 14 of 30 completed in 5.8 sec. * * * * * Output for wavelength band 15 (540.0 to 550.0 nm; nominal wavelength = 545.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 84.1 m at 545.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 540.0 nm to 550.0 nm: Ed(diffuse) = 4.017E-01 Ed(direct) = 1.032E+00 Ed(total) = 1.434E+00 Absorption Coefficients of Individual Components at 545.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0511 0.0392 0.0047 0.0950 3 6.044 10.000 0.0511 0.0392 0.0047 0.0950 5 12.088 20.000 0.0511 0.0392 0.0047 0.0950 7 18.133 30.000 0.0511 0.0392 0.0047 0.0950 9 24.177 40.000 0.0511 0.0392 0.0047 0.0950 11 30.221 50.000 0.0511 0.0392 0.0047 0.0950 Scattering Coefficients of Individual Components at 545.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0020 0.5074 0.0000 0.5094 3 6.044 10.000 0.0020 0.5074 0.0000 0.5094 5 12.088 20.000 0.0020 0.5074 0.0000 0.5094 7 18.133 30.000 0.0020 0.5074 0.0000 0.5094 9 24.177 40.000 0.0020 0.5074 0.0000 0.5094 11 30.221 50.000 0.0020 0.5074 0.0000 0.5094 Backscattering Coefficients of Individual Components at 545.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00100 0.00507 0.00000 0.00607 3 6.044 10.000 0.00100 0.00507 0.00000 0.00607 5 12.088 20.000 0.00100 0.00507 0.00000 0.00607 7 18.133 30.000 0.00100 0.00507 0.00000 0.00607 9 24.177 40.000 0.00100 0.00507 0.00000 0.00607 11 30.221 50.000 0.00100 0.00507 0.00000 0.00607 Summary of Inherent Optical Properties at 545.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0950 0.5094 0.6044 0.8428 0.00607 0.01192 3 6.044 10.000 0.0950 0.5094 0.6044 0.8428 0.00607 0.01192 5 12.088 20.000 0.0950 0.5094 0.6044 0.8428 0.00607 0.01192 7 18.133 30.000 0.0950 0.5094 0.6044 0.8428 0.00607 0.01192 9 24.177 40.000 0.0950 0.5094 0.6044 0.8428 0.00607 0.01192 11 30.221 50.000 0.0950 0.5094 0.6044 0.8428 0.00607 0.01192 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3372E-01 8 20.00 7.7672E-01 7 30.00 5.8024E-01 6 40.00 3.9677E-01 5 50.00 2.5417E-01 4 60.00 1.5657E-01 3 70.00 9.5323E-02 2 80.00 5.9080E-02 1 87.50 4.1869E-02 1 92.50 3.2906E-02 2 100.00 2.4464E-02 3 110.00 1.7474E-02 4 120.00 1.3199E-02 5 130.00 1.0597E-02 6 140.00 9.0019E-03 7 150.00 8.0273E-03 8 160.00 7.4505E-03 9 170.00 7.1463E-03 10 180.00 7.0404E-03 Asymptotic AOP values are MUu(inf) = 0.3657 MUd(inf) = 0.7419 MU(inf) = 0.6788 R(inf) = 0.0298 Lu(inf)/Ed(inf) = 0.005800 (1/sr) k(inf) = 0.1400 (1/m) absorp(check) = 0.0950 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 545.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.6581E-01 2.0041E+00 2.1699E+00 6.2486E-02 1.4340E+00 0.3768 0.7155 0.6320 4.3576E-02 1 0.00 0.00 8.3507E-02 1.6093E+00 1.6928E+00 3.4551E-02 1.4060E+00 0.4138 0.8737 0.8102 2.4574E-02 3 6.04 10.00 2.9988E-02 5.1171E-01 5.4170E-01 1.1330E-02 3.9823E-01 0.3778 0.7782 0.7142 2.8450E-02 5 12.09 20.00 8.2062E-03 1.3648E-01 1.4469E-01 3.0365E-03 1.0287E-01 0.3700 0.7538 0.6900 2.9516E-02 7 18.13 30.00 2.0930E-03 3.4573E-02 3.6666E-02 7.6903E-04 2.5787E-02 0.3674 0.7459 0.6823 2.9822E-02 9 24.18 40.00 5.2181E-04 8.6086E-03 9.1305E-03 1.9125E-04 6.3983E-03 0.3665 0.7432 0.6798 2.9890E-02 11 30.22 50.00 1.2913E-04 2.1308E-03 2.2599E-03 4.7278E-05 1.5817E-03 0.3661 0.7423 0.6790 2.9890E-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 0.06169 0.09192 0.09043 0.08384 0.11601 0.11682 0.11059 10.000 10.010 10.005 0.12255 0.12711 0.12686 0.12609 0.13247 0.13265 0.13163 20.000 20.010 20.005 0.13439 0.13563 0.13556 0.13553 0.13737 0.13743 0.13737 30.000 30.010 30.005 0.13817 0.13847 0.13845 0.13857 0.13905 0.13906 0.13924 40.000 40.010 40.005 0.13941 0.13943 0.13943 0.13956 0.13963 0.13963 0.13983 50.000 50.010 50.005 0.13982 0.13977 0.13977 0.13988 0.13984 0.13984 0.14000 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 4.31961E-03 8.01634E-03 1.23359E-02 3.01235E-03 0.073957 9 1 10.0 0.0 180.0 6.68824E-02 4.40337E-03 2.39731E-03 6.80068E-03 3.07077E-03 0.035844 9 4 10.0 45.0 135.0 7.34857E-02 4.37990E-03 2.77967E-03 7.15957E-03 3.05440E-03 0.037826 9 7 10.0 90.0 90.0 9.92853E-02 4.36195E-03 5.79088E-03 1.01528E-02 3.04188E-03 0.058326 8 1 20.0 0.0 180.0 5.25352E-02 4.46386E-03 1.28254E-03 5.74640E-03 3.11295E-03 0.024413 8 4 20.0 45.0 135.0 5.84859E-02 4.41095E-03 1.51070E-03 5.92164E-03 3.07605E-03 0.025830 8 7 20.0 90.0 90.0 8.60007E-02 4.39387E-03 3.40636E-03 7.80024E-03 3.06414E-03 0.039609 7 1 30.0 0.0 180.0 4.55509E-02 4.55048E-03 1.09651E-03 5.64699E-03 3.17335E-03 0.024072 7 4 30.0 45.0 135.0 5.05014E-02 4.53239E-03 1.23170E-03 5.76409E-03 3.16074E-03 0.024390 7 7 30.0 90.0 90.0 7.36446E-02 4.49310E-03 2.12621E-03 6.61930E-03 3.13334E-03 0.028871 6 1 40.0 0.0 180.0 4.32364E-02 4.62833E-03 1.21919E-03 5.84751E-03 3.22764E-03 0.028198 6 4 40.0 45.0 135.0 4.72767E-02 4.60208E-03 1.32229E-03 5.92437E-03 3.20934E-03 0.027969 6 7 40.0 90.0 90.0 6.63757E-02 4.57781E-03 1.91581E-03 6.49362E-03 3.19241E-03 0.028863 5 1 50.0 0.0 180.0 4.53319E-02 4.72862E-03 1.92591E-03 6.65452E-03 3.29758E-03 0.042485 5 4 50.0 45.0 135.0 4.83073E-02 4.67797E-03 2.00644E-03 6.68441E-03 3.26226E-03 0.041535 5 7 50.0 90.0 90.0 6.42124E-02 4.67886E-03 2.59395E-03 7.27281E-03 3.26289E-03 0.040396 4 1 60.0 0.0 180.0 5.38097E-02 4.70132E-03 4.48647E-03 9.18779E-03 3.27854E-03 0.083377 4 4 60.0 45.0 135.0 5.50275E-02 4.64686E-03 4.43031E-03 9.07717E-03 3.24057E-03 0.080511 4 7 60.0 90.0 90.0 6.79517E-02 4.72633E-03 5.17359E-03 9.89993E-03 3.29599E-03 0.076136 3 1 70.0 0.0 180.0 7.46614E-02 4.40410E-03 1.23928E-02 1.67969E-02 3.07128E-03 0.165987 3 4 70.0 45.0 135.0 7.25599E-02 4.40425E-03 1.19242E-02 1.63284E-02 3.07138E-03 0.164336 3 7 70.0 90.0 90.0 8.11203E-02 4.50748E-03 1.29670E-02 1.74745E-02 3.14337E-03 0.159849 2 1 80.0 0.0 180.0 1.26851E-01 3.80481E-03 3.08049E-02 3.46097E-02 2.65335E-03 0.242843 2 4 80.0 45.0 135.0 1.17461E-01 3.79956E-03 2.97947E-02 3.35943E-02 2.64969E-03 0.253655 2 7 80.0 90.0 90.0 1.16699E-01 3.91135E-03 3.12031E-02 3.51145E-02 2.72764E-03 0.267382 1 1 87.5 0.0 180.0 2.05094E-01 3.08923E-03 5.43287E-02 5.74179E-02 2.15433E-03 0.264896 1 4 87.5 45.0 135.0 1.84662E-01 2.94014E-03 5.39932E-02 5.69334E-02 2.05035E-03 0.292389 1 7 87.5 90.0 90.0 1.68002E-01 3.36846E-03 5.52585E-02 5.86270E-02 2.34905E-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 1.234E-02 1.084E-01 1.313E-01 1.133E-01 1.697E-01 8.603E-03 5.065E+00 4.320E-03 3.012E-03 1 0.00 0.00 8.012E-03 2.018E-01 1.652E-02 2.001E-02 2.925E-02 5.698E-03 4.312E+00 3 6.04 10.00 2.327E-03 2.509E-01 6.969E-03 9.530E-03 1.601E-02 5.843E-03 4.869E+00 5 12.09 20.00 6.032E-04 8.110E-02 2.170E-03 2.845E-03 4.236E-03 5.863E-03 5.034E+00 7 18.13 30.00 1.510E-04 2.124E-02 6.168E-04 7.586E-04 1.000E-03 5.856E-03 5.092E+00 9 24.18 40.00 3.740E-05 5.299E-03 1.667E-04 1.934E-04 2.323E-04 5.845E-03 5.114E+00 11 30.22 50.00 9.228E-06 1.308E-03 4.367E-05 4.836E-05 5.449E-05 5.834E-03 5.123E+00 Waveband 15 of 30 completed in 5.7 sec. * * * * * Output for wavelength band 16 (550.0 to 560.0 nm; nominal wavelength = 555.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 84.1 m at 555.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 550.0 nm to 560.0 nm: Ed(diffuse) = 3.946E-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 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0596 0.0330 0.0041 0.0967 3 5.968 10.000 0.0596 0.0330 0.0041 0.0967 5 11.936 20.000 0.0596 0.0330 0.0041 0.0967 7 17.905 30.000 0.0596 0.0330 0.0041 0.0967 9 23.873 40.000 0.0596 0.0330 0.0041 0.0967 11 29.841 50.000 0.0596 0.0330 0.0041 0.0967 Scattering Coefficients of Individual Components at 555.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0018 0.4983 0.0000 0.5001 3 5.968 10.000 0.0018 0.4983 0.0000 0.5001 5 11.936 20.000 0.0018 0.4983 0.0000 0.5001 7 17.905 30.000 0.0018 0.4983 0.0000 0.5001 9 23.873 40.000 0.0018 0.4983 0.0000 0.5001 11 29.841 50.000 0.0018 0.4983 0.0000 0.5001 Backscattering Coefficients of Individual Components at 555.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00092 0.00498 0.00000 0.00590 3 5.968 10.000 0.00092 0.00498 0.00000 0.00590 5 11.936 20.000 0.00092 0.00498 0.00000 0.00590 7 17.905 30.000 0.00092 0.00498 0.00000 0.00590 9 23.873 40.000 0.00092 0.00498 0.00000 0.00590 11 29.841 50.000 0.00092 0.00498 0.00000 0.00590 Summary of Inherent Optical Properties at 555.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0967 0.5001 0.5968 0.8380 0.00590 0.01180 3 5.968 10.000 0.0967 0.5001 0.5968 0.8380 0.00590 0.01180 5 11.936 20.000 0.0967 0.5001 0.5968 0.8380 0.00590 0.01180 7 17.905 30.000 0.0967 0.5001 0.5968 0.8380 0.00590 0.01180 9 23.873 40.000 0.0967 0.5001 0.5968 0.8380 0.00590 0.01180 11 29.841 50.000 0.0967 0.5001 0.5968 0.8380 0.00590 0.01180 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3232E-01 8 20.00 7.7249E-01 7 30.00 5.7357E-01 6 40.00 3.8926E-01 5 50.00 2.4731E-01 4 60.00 1.5110E-01 3 70.00 9.1296E-02 2 80.00 5.6217E-02 1 87.50 3.9679E-02 1 92.50 3.1115E-02 2 100.00 2.3071E-02 3 110.00 1.6434E-02 4 120.00 1.2393E-02 5 130.00 9.9401E-03 6 140.00 8.4408E-03 7 150.00 7.5269E-03 8 160.00 6.9871E-03 9 170.00 6.7027E-03 10 180.00 6.6038E-03 Asymptotic AOP values are MUu(inf) = 0.3649 MUd(inf) = 0.7451 MU(inf) = 0.6843 R(inf) = 0.0284 Lu(inf)/Ed(inf) = 0.005519 (1/sr) k(inf) = 0.1413 (1/m) absorp(check) = 0.0967 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 555.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.6235E-01 1.9877E+00 2.1501E+00 6.1231E-02 1.4251E+00 0.3772 0.7169 0.6343 4.2967E-02 1 0.00 0.00 7.9324E-02 1.5961E+00 1.6754E+00 3.2738E-02 1.3966E+00 0.4127 0.8750 0.8140 2.3442E-02 3 5.97 10.00 2.8049E-02 4.9899E-01 5.2704E-01 1.0576E-02 3.8977E-01 0.3771 0.7811 0.7195 2.7134E-02 5 11.94 20.00 7.5720E-03 1.3122E-01 1.3879E-01 2.7967E-03 9.9321E-02 0.3693 0.7569 0.6954 2.8158E-02 7 17.90 30.00 1.9058E-03 3.2796E-02 3.4702E-02 6.9899E-04 2.4566E-02 0.3668 0.7490 0.6878 2.8454E-02 9 23.87 40.00 4.6882E-04 8.0571E-03 8.5259E-03 1.7151E-04 6.0139E-03 0.3658 0.7464 0.6853 2.8519E-02 11 29.84 50.00 1.1446E-04 1.9677E-03 2.0821E-03 4.1830E-05 1.4669E-03 0.3654 0.7455 0.6844 2.8516E-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 0.06256 0.09366 0.09219 0.08529 0.11759 0.11837 0.11206 10.000 10.010 10.005 0.12396 0.12860 0.12835 0.12747 0.13386 0.13404 0.13296 20.000 20.010 20.005 0.13573 0.13701 0.13694 0.13686 0.13872 0.13878 0.13870 30.000 30.010 30.005 0.13951 0.13981 0.13980 0.13991 0.14039 0.14040 0.14058 40.000 40.010 40.005 0.14076 0.14077 0.14077 0.14091 0.14097 0.14097 0.14118 50.000 50.010 50.005 0.14117 0.14111 0.14112 0.14124 0.14118 0.14118 0.14136 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 4.08408E-03 7.95844E-03 1.20425E-02 2.86586E-03 0.074746 9 1 10.0 0.0 180.0 6.56983E-02 4.16383E-03 2.36614E-03 6.52997E-03 2.92183E-03 0.036015 9 4 10.0 45.0 135.0 7.21847E-02 4.14140E-03 2.74497E-03 6.88636E-03 2.90609E-03 0.038027 9 7 10.0 90.0 90.0 9.75275E-02 4.12393E-03 5.74034E-03 9.86428E-03 2.89383E-03 0.058859 8 1 20.0 0.0 180.0 5.16051E-02 4.22117E-03 1.26040E-03 5.48157E-03 2.96206E-03 0.024424 8 4 20.0 45.0 135.0 5.74504E-02 4.17073E-03 1.48543E-03 5.65615E-03 2.92667E-03 0.025856 8 7 20.0 90.0 90.0 8.44780E-02 4.15382E-03 3.36583E-03 7.51965E-03 2.91481E-03 0.039843 7 1 30.0 0.0 180.0 4.47444E-02 4.30309E-03 1.07710E-03 5.38019E-03 3.01955E-03 0.024072 7 4 30.0 45.0 135.0 4.96077E-02 4.28541E-03 1.20997E-03 5.49538E-03 3.00714E-03 0.024391 7 7 30.0 90.0 90.0 7.23380E-02 4.24732E-03 2.09245E-03 6.33977E-03 2.98041E-03 0.028926 6 1 40.0 0.0 180.0 4.24709E-02 4.37650E-03 1.19760E-03 5.57411E-03 3.07106E-03 0.028198 6 4 40.0 45.0 135.0 4.64396E-02 4.35098E-03 1.29888E-03 5.64986E-03 3.05315E-03 0.027969 6 7 40.0 90.0 90.0 6.52005E-02 4.32708E-03 1.88214E-03 6.20922E-03 3.03638E-03 0.028867 5 1 50.0 0.0 180.0 4.45293E-02 4.47114E-03 1.89181E-03 6.36295E-03 3.13747E-03 0.042485 5 4 50.0 45.0 135.0 4.74520E-02 4.42253E-03 1.97092E-03 6.39345E-03 3.10336E-03 0.041535 5 7 50.0 90.0 90.0 6.30755E-02 4.42275E-03 2.54802E-03 6.97077E-03 3.10351E-03 0.040396 4 1 60.0 0.0 180.0 5.28570E-02 4.44520E-03 4.40703E-03 8.85224E-03 3.11927E-03 0.083377 4 4 60.0 45.0 135.0 5.40532E-02 4.39305E-03 4.35187E-03 8.74491E-03 3.08267E-03 0.080511 4 7 60.0 90.0 90.0 6.67486E-02 4.46802E-03 5.08199E-03 9.55002E-03 3.13529E-03 0.076136 3 1 70.0 0.0 180.0 7.33395E-02 4.16429E-03 1.21734E-02 1.63377E-02 2.92215E-03 0.165987 3 4 70.0 45.0 135.0 7.12752E-02 4.16396E-03 1.17131E-02 1.58770E-02 2.92192E-03 0.164336 3 7 70.0 90.0 90.0 7.96840E-02 4.26223E-03 1.27374E-02 1.69996E-02 2.99088E-03 0.159849 2 1 80.0 0.0 180.0 1.24605E-01 3.59788E-03 3.02595E-02 3.38573E-02 2.52469E-03 0.242843 2 4 80.0 45.0 135.0 1.15382E-01 3.59270E-03 2.92672E-02 3.28599E-02 2.52105E-03 0.253655 2 7 80.0 90.0 90.0 1.14633E-01 3.69969E-03 3.06507E-02 3.43504E-02 2.59613E-03 0.267382 1 1 87.5 0.0 180.0 2.01463E-01 2.92167E-03 5.33668E-02 5.62884E-02 2.05018E-03 0.264896 1 4 87.5 45.0 135.0 1.81393E-01 2.78066E-03 5.30373E-02 5.58179E-02 1.95123E-03 0.292389 1 7 87.5 90.0 90.0 1.65027E-01 3.18762E-03 5.42802E-02 5.74678E-02 2.23680E-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 1.204E-02 1.065E-01 1.289E-01 1.112E-01 1.667E-01 8.450E-03 5.085E+00 4.084E-03 2.866E-03 1 0.00 0.00 7.575E-03 1.982E-01 1.569E-02 1.906E-02 2.802E-02 5.424E-03 4.322E+00 3 5.97 10.00 2.170E-03 2.445E-01 6.523E-03 8.951E-03 1.513E-02 5.567E-03 4.874E+00 5 11.94 20.00 5.551E-04 7.871E-02 2.001E-03 2.635E-03 3.951E-03 5.589E-03 5.038E+00 7 17.90 30.00 1.371E-04 2.044E-02 5.613E-04 6.935E-04 9.210E-04 5.583E-03 5.097E+00 9 23.87 40.00 3.351E-05 5.044E-03 1.498E-04 1.745E-04 2.110E-04 5.572E-03 5.119E+00 11 29.84 50.00 8.157E-06 1.230E-03 3.875E-05 4.308E-05 4.879E-05 5.561E-03 5.128E+00 Waveband 16 of 30 completed in 5.7 sec. * * * * * Output for wavelength band 17 (560.0 to 570.0 nm; nominal wavelength = 565.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 84.1 m at 565.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 560.0 nm to 570.0 nm: Ed(diffuse) = 3.870E-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 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0642 0.0278 0.0036 0.0956 3 5.868 10.000 0.0642 0.0278 0.0036 0.0956 5 11.735 20.000 0.0642 0.0278 0.0036 0.0956 7 17.603 30.000 0.0642 0.0278 0.0036 0.0956 9 23.471 40.000 0.0642 0.0278 0.0036 0.0956 11 29.339 50.000 0.0642 0.0278 0.0036 0.0956 Scattering Coefficients of Individual Components at 565.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0017 0.4894 0.0000 0.4912 3 5.868 10.000 0.0017 0.4894 0.0000 0.4912 5 11.735 20.000 0.0017 0.4894 0.0000 0.4912 7 17.603 30.000 0.0017 0.4894 0.0000 0.4912 9 23.471 40.000 0.0017 0.4894 0.0000 0.4912 11 29.339 50.000 0.0017 0.4894 0.0000 0.4912 Backscattering Coefficients of Individual Components at 565.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00085 0.00489 0.00000 0.00575 3 5.868 10.000 0.00085 0.00489 0.00000 0.00575 5 11.735 20.000 0.00085 0.00489 0.00000 0.00575 7 17.603 30.000 0.00085 0.00489 0.00000 0.00575 9 23.471 40.000 0.00085 0.00489 0.00000 0.00575 11 29.339 50.000 0.00085 0.00489 0.00000 0.00575 Summary of Inherent Optical Properties at 565.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0956 0.4912 0.5868 0.8370 0.00575 0.01170 3 5.868 10.000 0.0956 0.4912 0.5868 0.8370 0.00575 0.01170 5 11.735 20.000 0.0956 0.4912 0.5868 0.8370 0.00575 0.01170 7 17.603 30.000 0.0956 0.4912 0.5868 0.8370 0.00575 0.01170 9 23.471 40.000 0.0956 0.4912 0.5868 0.8370 0.00575 0.01170 11 29.339 50.000 0.0956 0.4912 0.5868 0.8370 0.00575 0.01170 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3206E-01 8 20.00 7.7170E-01 7 30.00 5.7232E-01 6 40.00 3.8784E-01 5 50.00 2.4600E-01 4 60.00 1.5003E-01 3 70.00 9.0493E-02 2 80.00 5.5629E-02 1 87.50 3.9216E-02 1 92.50 3.0726E-02 2 100.00 2.2757E-02 3 110.00 1.6188E-02 4 120.00 1.2191E-02 5 130.00 9.7680E-03 6 140.00 8.2874E-03 7 150.00 7.3853E-03 8 160.00 6.8526E-03 9 170.00 6.5722E-03 10 180.00 6.4746E-03 Asymptotic AOP values are MUu(inf) = 0.3643 MUd(inf) = 0.7458 MU(inf) = 0.6857 R(inf) = 0.0280 Lu(inf)/Ed(inf) = 0.005426 (1/sr) k(inf) = 0.1395 (1/m) absorp(check) = 0.0956 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 565.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.5953E-01 1.9675E+00 2.1271E+00 6.0328E-02 1.4132E+00 0.3782 0.7183 0.6360 4.2689E-02 1 0.00 0.00 7.7529E-02 1.5816E+00 1.6592E+00 3.1957E-02 1.3848E+00 0.4122 0.8756 0.8154 2.3077E-02 3 5.87 10.00 2.7899E-02 5.0271E-01 5.3061E-01 1.0510E-02 3.9334E-01 0.3767 0.7824 0.7215 2.6720E-02 5 11.74 20.00 7.6857E-03 1.3478E-01 1.4247E-01 2.8355E-03 1.0216E-01 0.3689 0.7580 0.6972 2.7755E-02 7 17.60 30.00 1.9733E-03 3.4345E-02 3.6319E-02 7.2282E-04 2.5756E-02 0.3663 0.7499 0.6893 2.8064E-02 9 23.47 40.00 4.9489E-04 8.6002E-03 9.0950E-03 1.8080E-04 6.4257E-03 0.3653 0.7472 0.6866 2.8136E-02 11 29.34 50.00 1.2314E-04 2.1403E-03 2.2635E-03 4.4938E-05 1.5971E-03 0.3649 0.7462 0.6858 2.8136E-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 0.06132 0.09251 0.09105 0.08398 0.11609 0.11685 0.11048 10.000 10.010 10.005 0.12195 0.12670 0.12645 0.12549 0.13198 0.13216 0.13100 20.000 20.010 20.005 0.13371 0.13506 0.13498 0.13486 0.13681 0.13686 0.13673 30.000 30.010 30.005 0.13755 0.13789 0.13787 0.13796 0.13849 0.13850 0.13865 40.000 40.010 40.005 0.13885 0.13888 0.13888 0.13901 0.13908 0.13909 0.13928 50.000 50.010 50.005 0.13928 0.13923 0.13923 0.13935 0.13930 0.13930 0.13948 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 3.97758E-03 7.88459E-03 1.18622E-02 2.81455E-03 0.075502 9 1 10.0 0.0 180.0 6.44370E-02 4.05461E-03 2.33131E-03 6.38592E-03 2.86906E-03 0.036180 9 4 10.0 45.0 135.0 7.07988E-02 4.03298E-03 2.70590E-03 6.73888E-03 2.85375E-03 0.038220 9 7 10.0 90.0 90.0 9.56551E-02 4.01654E-03 5.67898E-03 9.69552E-03 2.84212E-03 0.059369 8 1 20.0 0.0 180.0 5.06144E-02 4.11026E-03 1.23674E-03 5.34700E-03 2.90844E-03 0.024435 8 4 20.0 45.0 135.0 5.63474E-02 4.06148E-03 1.45830E-03 5.51978E-03 2.87392E-03 0.025880 8 7 20.0 90.0 90.0 8.28562E-02 4.04600E-03 3.31978E-03 7.36578E-03 2.86297E-03 0.040067 7 1 30.0 0.0 180.0 4.38854E-02 4.18996E-03 1.05642E-03 5.24639E-03 2.96484E-03 0.024072 7 4 30.0 45.0 135.0 4.86557E-02 4.17323E-03 1.18680E-03 5.36003E-03 2.95299E-03 0.024392 7 7 30.0 90.0 90.0 7.09468E-02 4.13756E-03 2.05593E-03 6.19349E-03 2.92776E-03 0.028978 6 1 40.0 0.0 180.0 4.16555E-02 4.26156E-03 1.17461E-03 5.43617E-03 3.01550E-03 0.028198 6 4 40.0 45.0 135.0 4.55481E-02 4.23737E-03 1.27394E-03 5.51131E-03 2.99838E-03 0.027969 6 7 40.0 90.0 90.0 6.39488E-02 4.21620E-03 1.84625E-03 6.06245E-03 2.98340E-03 0.028871 5 1 50.0 0.0 180.0 4.36744E-02 4.35398E-03 1.85549E-03 6.20947E-03 3.08090E-03 0.042485 5 4 50.0 45.0 135.0 4.65410E-02 4.30750E-03 1.93308E-03 6.24058E-03 3.04800E-03 0.041535 5 7 50.0 90.0 90.0 6.18645E-02 4.31051E-03 2.49910E-03 6.80961E-03 3.05013E-03 0.040396 4 1 60.0 0.0 180.0 5.18422E-02 4.32906E-03 4.32243E-03 8.65148E-03 3.06326E-03 0.083377 4 4 60.0 45.0 135.0 5.30155E-02 4.27930E-03 4.26832E-03 8.54762E-03 3.02805E-03 0.080511 4 7 60.0 90.0 90.0 6.54672E-02 4.35582E-03 4.98443E-03 9.34025E-03 3.08220E-03 0.076136 3 1 70.0 0.0 180.0 7.19315E-02 4.05596E-03 1.19397E-02 1.59957E-02 2.87002E-03 0.165987 3 4 70.0 45.0 135.0 6.99069E-02 4.05684E-03 1.14882E-02 1.55450E-02 2.87064E-03 0.164336 3 7 70.0 90.0 90.0 7.81542E-02 4.15662E-03 1.24929E-02 1.66495E-02 2.94124E-03 0.159849 2 1 80.0 0.0 180.0 1.22213E-01 3.50472E-03 2.96785E-02 3.31832E-02 2.47995E-03 0.242843 2 4 80.0 45.0 135.0 1.13166E-01 3.50088E-03 2.87053E-02 3.22062E-02 2.47724E-03 0.253655 2 7 80.0 90.0 90.0 1.12432E-01 3.60918E-03 3.00622E-02 3.36714E-02 2.55388E-03 0.267382 1 1 87.5 0.0 180.0 1.97595E-01 2.84642E-03 5.23422E-02 5.51886E-02 2.01414E-03 0.264896 1 4 87.5 45.0 135.0 1.77910E-01 2.71011E-03 5.20190E-02 5.47291E-02 1.91768E-03 0.292389 1 7 87.5 90.0 90.0 1.61859E-01 3.11070E-03 5.32381E-02 5.63488E-02 2.20115E-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 1.186E-02 1.044E-01 1.264E-01 1.091E-01 1.635E-01 8.394E-03 5.086E+00 3.978E-03 2.815E-03 1 0.00 0.00 7.378E-03 1.944E-01 1.531E-02 1.865E-02 2.751E-02 5.327E-03 4.332E+00 3 5.87 10.00 2.152E-03 2.448E-01 6.471E-03 8.906E-03 1.512E-02 5.472E-03 4.883E+00 5 11.74 20.00 5.616E-04 8.081E-02 2.024E-03 2.676E-03 4.040E-03 5.497E-03 5.049E+00 7 17.60 30.00 1.415E-04 2.146E-02 5.790E-04 7.188E-04 9.617E-04 5.494E-03 5.108E+00 9 23.47 40.00 3.523E-05 5.402E-03 1.576E-04 1.845E-04 2.246E-04 5.483E-03 5.131E+00 11 29.34 50.00 8.741E-06 1.342E-03 4.159E-05 4.644E-05 5.289E-05 5.473E-03 5.141E+00 Waveband 17 of 30 completed in 5.7 sec. * * * * * Output for wavelength band 18 (570.0 to 580.0 nm; nominal wavelength = 575.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 83.9 m at 575.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 570.0 nm to 580.0 nm: Ed(diffuse) = 3.835E-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 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0772 0.0268 0.0031 0.1071 3 5.896 10.000 0.0772 0.0268 0.0031 0.1071 5 11.793 20.000 0.0772 0.0268 0.0031 0.1071 7 17.689 30.000 0.0772 0.0268 0.0031 0.1071 9 23.586 40.000 0.0772 0.0268 0.0031 0.1071 11 29.482 50.000 0.0772 0.0268 0.0031 0.1071 Scattering Coefficients of Individual Components at 575.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0016 0.4809 0.0000 0.4825 3 5.896 10.000 0.0016 0.4809 0.0000 0.4825 5 11.793 20.000 0.0016 0.4809 0.0000 0.4825 7 17.689 30.000 0.0016 0.4809 0.0000 0.4825 9 23.586 40.000 0.0016 0.4809 0.0000 0.4825 11 29.482 50.000 0.0016 0.4809 0.0000 0.4825 Backscattering Coefficients of Individual Components at 575.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00079 0.00481 0.00000 0.00560 3 5.896 10.000 0.00079 0.00481 0.00000 0.00560 5 11.793 20.000 0.00079 0.00481 0.00000 0.00560 7 17.689 30.000 0.00079 0.00481 0.00000 0.00560 9 23.586 40.000 0.00079 0.00481 0.00000 0.00560 11 29.482 50.000 0.00079 0.00481 0.00000 0.00560 Summary of Inherent Optical Properties at 575.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1071 0.4825 0.5896 0.8183 0.00560 0.01160 3 5.896 10.000 0.1071 0.4825 0.5896 0.8183 0.00560 0.01160 5 11.793 20.000 0.1071 0.4825 0.5896 0.8183 0.00560 0.01160 7 17.689 30.000 0.1071 0.4825 0.5896 0.8183 0.00560 0.01160 9 23.586 40.000 0.1071 0.4825 0.5896 0.8183 0.00560 0.01160 11 29.482 50.000 0.1071 0.4825 0.5896 0.8183 0.00560 0.01160 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.2668E-01 8 20.00 7.5557E-01 7 30.00 5.4745E-01 6 40.00 3.6054E-01 5 50.00 2.2175E-01 4 60.00 1.3126E-01 3 70.00 7.7095E-02 2 80.00 4.6377E-02 1 87.50 3.2286E-02 1 92.50 2.5141E-02 2 100.00 1.8495E-02 3 110.00 1.3079E-02 4 120.00 9.8285E-03 5 130.00 7.8787E-03 6 140.00 6.6981E-03 7 150.00 5.9844E-03 8 160.00 5.5659E-03 9 170.00 5.3466E-03 10 180.00 5.2705E-03 Asymptotic AOP values are MUu(inf) = 0.3634 MUd(inf) = 0.7573 MU(inf) = 0.7042 R(inf) = 0.0239 Lu(inf)/Ed(inf) = 0.004657 (1/sr) k(inf) = 0.1521 (1/m) absorp(check) = 0.1071 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 575.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.5511E-01 1.9664E+00 2.1215E+00 5.8366E-02 1.4148E+00 0.3763 0.7195 0.6394 4.1253E-02 1 0.00 0.00 6.7250E-02 1.5748E+00 1.6420E+00 2.7549E-02 1.3840E+00 0.4096 0.8789 0.8261 1.9905E-02 3 5.90 10.00 2.1205E-02 4.3732E-01 4.5852E-01 7.9538E-03 3.4547E-01 0.3751 0.7900 0.7361 2.3023E-02 5 11.79 20.00 5.1189E-03 1.0272E-01 1.0784E-01 1.8837E-03 7.8836E-02 0.3680 0.7675 0.7136 2.3894E-02 7 17.69 30.00 1.1549E-03 2.2992E-02 2.4147E-02 4.2232E-04 1.7482E-02 0.3657 0.7604 0.7065 2.4158E-02 9 23.59 40.00 2.5491E-04 5.0655E-03 5.3204E-03 9.3019E-05 3.8399E-03 0.3649 0.7580 0.7042 2.4225E-02 11 29.48 50.00 5.5873E-05 1.1102E-03 1.1660E-03 2.0371E-05 8.4073E-04 0.3646 0.7573 0.7035 2.4230E-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 0.07005 0.10467 0.10325 0.09524 0.12861 0.12929 0.12256 10.000 10.010 10.005 0.13536 0.14012 0.13990 0.13865 0.14497 0.14512 0.14377 20.000 20.010 20.005 0.14676 0.14813 0.14807 0.14779 0.14969 0.14974 0.14944 30.000 30.010 30.005 0.15039 0.15076 0.15074 0.15073 0.15127 0.15128 0.15130 40.000 40.010 40.005 0.15156 0.15162 0.15162 0.15169 0.15179 0.15179 0.15190 50.000 50.010 50.005 0.15194 0.15191 0.15191 0.15199 0.15197 0.15197 0.15208 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 3.42612E-03 7.88652E-03 1.13126E-02 2.42156E-03 0.076220 9 1 10.0 0.0 180.0 6.38454E-02 3.49638E-03 2.31989E-03 5.81627E-03 2.47122E-03 0.036336 9 4 10.0 45.0 135.0 7.01489E-02 3.47623E-03 2.69390E-03 6.17013E-03 2.45698E-03 0.038403 9 7 10.0 90.0 90.0 9.47770E-02 3.45853E-03 5.67282E-03 9.13135E-03 2.44447E-03 0.059854 8 1 20.0 0.0 180.0 5.01497E-02 3.54538E-03 1.22589E-03 4.77127E-03 2.50586E-03 0.024445 8 4 20.0 45.0 135.0 5.58301E-02 3.50080E-03 1.44622E-03 4.94702E-03 2.47435E-03 0.025904 8 7 20.0 90.0 90.0 8.20955E-02 3.48171E-03 3.30679E-03 6.78851E-03 2.46086E-03 0.040280 7 1 30.0 0.0 180.0 4.34825E-02 3.61428E-03 1.04672E-03 4.66100E-03 2.55455E-03 0.024072 7 4 30.0 45.0 135.0 4.82094E-02 3.59634E-03 1.17597E-03 4.77231E-03 2.54187E-03 0.024393 7 7 30.0 90.0 90.0 7.02931E-02 3.55777E-03 2.04050E-03 5.59826E-03 2.51461E-03 0.029028 6 1 40.0 0.0 180.0 4.12731E-02 3.67478E-03 1.16383E-03 4.83861E-03 2.59732E-03 0.028198 6 4 40.0 45.0 135.0 4.51299E-02 3.64934E-03 1.26225E-03 4.91159E-03 2.57934E-03 0.027969 6 7 40.0 90.0 90.0 6.33617E-02 3.62117E-03 1.82952E-03 5.45069E-03 2.55942E-03 0.028874 5 1 50.0 0.0 180.0 4.32735E-02 3.75272E-03 1.83845E-03 5.59118E-03 2.65240E-03 0.042485 5 4 50.0 45.0 135.0 4.61137E-02 3.70742E-03 1.91533E-03 5.62275E-03 2.62039E-03 0.041535 5 7 50.0 90.0 90.0 6.12966E-02 3.69909E-03 2.47616E-03 6.17525E-03 2.61450E-03 0.040396 4 1 60.0 0.0 180.0 5.13663E-02 3.72948E-03 4.28275E-03 8.01223E-03 2.63598E-03 0.083377 4 4 60.0 45.0 135.0 5.25288E-02 3.68101E-03 4.22913E-03 7.91014E-03 2.60172E-03 0.080511 4 7 60.0 90.0 90.0 6.48662E-02 3.73553E-03 4.93867E-03 8.67420E-03 2.64026E-03 0.076136 3 1 70.0 0.0 180.0 7.12711E-02 3.49283E-03 1.18301E-02 1.53229E-02 2.46871E-03 0.165987 3 4 70.0 45.0 135.0 6.92651E-02 3.48821E-03 1.13827E-02 1.48709E-02 2.46545E-03 0.164336 3 7 70.0 90.0 90.0 7.74367E-02 3.56393E-03 1.23782E-02 1.59421E-02 2.51896E-03 0.159849 2 1 80.0 0.0 180.0 1.21091E-01 3.01745E-03 2.94061E-02 3.24235E-02 2.13272E-03 0.242843 2 4 80.0 45.0 135.0 1.12128E-01 3.00958E-03 2.84418E-02 3.14514E-02 2.12716E-03 0.253655 2 7 80.0 90.0 90.0 1.11400E-01 3.09486E-03 2.97863E-02 3.28811E-02 2.18743E-03 0.267382 1 1 87.5 0.0 180.0 1.95781E-01 2.45079E-03 5.18617E-02 5.43125E-02 1.73220E-03 0.264896 1 4 87.5 45.0 135.0 1.76277E-01 2.33012E-03 5.15415E-02 5.38716E-02 1.64691E-03 0.292389 1 7 87.5 90.0 90.0 1.60373E-01 2.66905E-03 5.27493E-02 5.54184E-02 1.88647E-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 1.131E-02 1.035E-01 1.250E-01 1.079E-01 1.617E-01 7.996E-03 5.159E+00 3.426E-03 2.422E-03 1 0.00 0.00 6.355E-03 1.926E-01 1.334E-02 1.633E-02 2.436E-02 4.592E-03 4.335E+00 3 5.90 10.00 1.634E-03 2.169E-01 4.971E-03 6.874E-03 1.177E-02 4.730E-03 4.868E+00 5 11.79 20.00 3.754E-04 6.410E-02 1.360E-03 1.803E-03 2.738E-03 4.761E-03 5.018E+00 7 17.69 30.00 8.331E-05 1.515E-02 3.416E-04 4.249E-04 5.711E-04 4.765E-03 5.069E+00 9 23.59 40.00 1.828E-05 3.380E-03 8.183E-05 9.594E-05 1.172E-04 4.762E-03 5.087E+00 11 29.48 50.00 3.999E-06 7.424E-04 1.902E-05 2.127E-05 2.428E-05 4.756E-03 5.095E+00 Waveband 18 of 30 completed in 5.9 sec. * * * * * Output for wavelength band 19 (580.0 to 590.0 nm; nominal wavelength = 585.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 82.5 m at 585.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 580.0 nm to 590.0 nm: Ed(diffuse) = 3.707E-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 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1100 0.0278 0.0027 0.1405 3 6.147 10.000 0.1100 0.0278 0.0027 0.1405 5 12.295 20.000 0.1100 0.0278 0.0027 0.1405 7 18.442 30.000 0.1100 0.0278 0.0027 0.1405 9 24.589 40.000 0.1100 0.0278 0.0027 0.1405 11 30.736 50.000 0.1100 0.0278 0.0027 0.1405 Scattering Coefficients of Individual Components at 585.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0015 0.4727 0.0000 0.4742 3 6.147 10.000 0.0015 0.4727 0.0000 0.4742 5 12.295 20.000 0.0015 0.4727 0.0000 0.4742 7 18.442 30.000 0.0015 0.4727 0.0000 0.4742 9 24.589 40.000 0.0015 0.4727 0.0000 0.4742 11 30.736 50.000 0.0015 0.4727 0.0000 0.4742 Backscattering Coefficients of Individual Components at 585.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00073 0.00473 0.00000 0.00546 3 6.147 10.000 0.00073 0.00473 0.00000 0.00546 5 12.295 20.000 0.00073 0.00473 0.00000 0.00546 7 18.442 30.000 0.00073 0.00473 0.00000 0.00546 9 24.589 40.000 0.00073 0.00473 0.00000 0.00546 11 30.736 50.000 0.00073 0.00473 0.00000 0.00546 Summary of Inherent Optical Properties at 585.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1405 0.4742 0.6147 0.7714 0.00546 0.01152 3 6.147 10.000 0.1405 0.4742 0.6147 0.7714 0.00546 0.01152 5 12.295 20.000 0.1405 0.4742 0.6147 0.7714 0.00546 0.01152 7 18.442 30.000 0.1405 0.4742 0.6147 0.7714 0.00546 0.01152 9 24.589 40.000 0.1405 0.4742 0.6147 0.7714 0.00546 0.01152 11 30.736 50.000 0.1405 0.4742 0.6147 0.7714 0.00546 0.01152 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.1314E-01 8 20.00 7.1621E-01 7 30.00 4.8958E-01 6 40.00 3.0065E-01 5 50.00 1.7186E-01 4 60.00 9.4987E-02 3 70.00 5.2646E-02 2 80.00 3.0291E-02 1 87.50 2.0588E-02 1 92.50 1.5871E-02 2 100.00 1.1551E-02 3 110.00 8.1068E-03 4 120.00 6.0916E-03 5 130.00 4.9070E-03 6 140.00 4.2024E-03 7 150.00 3.7835E-03 8 160.00 3.5416E-03 9 170.00 3.4164E-03 10 180.00 3.3730E-03 Asymptotic AOP values are MUu(inf) = 0.3635 MUd(inf) = 0.7825 MU(inf) = 0.7423 R(inf) = 0.0169 Lu(inf)/Ed(inf) = 0.003373 (1/sr) k(inf) = 0.1894 (1/m) absorp(check) = 0.1406 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 585.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.4463E-01 1.9161E+00 2.0607E+00 5.3791E-02 1.3808E+00 0.3719 0.7207 0.6440 3.8956E-02 1 0.00 0.00 4.8404E-02 1.5227E+00 1.5711E+00 1.9607E-02 1.3466E+00 0.4051 0.8844 0.8447 1.4561E-02 3 6.15 10.00 1.0343E-02 2.8523E-01 2.9557E-01 3.8652E-03 2.2967E-01 0.3737 0.8052 0.7640 1.6829E-02 5 12.29 20.00 1.7055E-03 4.5448E-02 4.7153E-02 6.2959E-04 3.5793E-02 0.3691 0.7876 0.7457 1.7590E-02 7 18.44 30.00 2.6666E-04 6.9577E-03 7.2244E-03 9.8396E-05 5.4446E-03 0.3690 0.7825 0.7400 1.8072E-02 9 24.59 40.00 4.1306E-05 1.0543E-03 1.0956E-03 1.5303E-05 8.2336E-04 0.3705 0.7809 0.7375 1.8586E-02 11 30.74 50.00 6.4342E-06 1.5960E-04 1.6604E-04 2.3994E-06 1.2451E-04 0.3729 0.7801 0.7354 1.9272E-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 0.09874 0.14083 0.13953 0.12931 0.16551 0.16604 0.15824 10.000 10.010 10.005 0.17432 0.17940 0.17922 0.17680 0.18329 0.18340 0.18059 20.000 20.010 20.005 0.18413 0.18649 0.18640 0.18456 0.18761 0.18766 0.18514 30.000 30.010 30.005 0.18641 0.18842 0.18835 0.18618 0.18875 0.18880 0.18569 40.000 40.010 40.005 0.18636 0.18881 0.18872 0.18582 0.18894 0.18900 0.18482 50.000 50.010 50.005 0.18542 0.18874 0.18861 0.18465 0.18884 0.18892 0.18326 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 2.44620E-03 7.69050E-03 1.01367E-02 1.77157E-03 0.076891 9 1 10.0 0.0 180.0 6.17156E-02 2.50246E-03 2.25150E-03 4.75396E-03 1.81232E-03 0.036482 9 4 10.0 45.0 135.0 6.78088E-02 2.48572E-03 2.61562E-03 5.10133E-03 1.80019E-03 0.038573 9 7 10.0 90.0 90.0 9.16153E-02 2.46745E-03 5.52507E-03 7.99252E-03 1.78696E-03 0.060307 8 1 20.0 0.0 180.0 4.84768E-02 2.53899E-03 1.18545E-03 3.72444E-03 1.83877E-03 0.024454 8 4 20.0 45.0 135.0 5.39677E-02 2.50315E-03 1.39915E-03 3.90231E-03 1.81282E-03 0.025926 8 7 20.0 90.0 90.0 7.93569E-02 2.48030E-03 3.21226E-03 5.69257E-03 1.79627E-03 0.040479 7 1 30.0 0.0 180.0 4.20320E-02 2.58835E-03 1.01180E-03 3.60015E-03 1.87452E-03 0.024072 7 4 30.0 45.0 135.0 4.66016E-02 2.57001E-03 1.13680E-03 3.70681E-03 1.86124E-03 0.024394 7 7 30.0 90.0 90.0 6.79461E-02 2.52977E-03 1.97553E-03 4.50530E-03 1.83209E-03 0.029075 6 1 40.0 0.0 180.0 3.98963E-02 2.62929E-03 1.12500E-03 3.75429E-03 1.90417E-03 0.028198 6 4 40.0 45.0 135.0 4.36245E-02 2.60385E-03 1.22014E-03 3.82399E-03 1.88574E-03 0.027969 6 7 40.0 90.0 90.0 6.12481E-02 2.56732E-03 1.76869E-03 4.33602E-03 1.85929E-03 0.028878 5 1 50.0 0.0 180.0 4.18299E-02 2.68171E-03 1.77713E-03 4.45883E-03 1.94213E-03 0.042485 5 4 50.0 45.0 135.0 4.45754E-02 2.64094E-03 1.85144E-03 4.49238E-03 1.91260E-03 0.041535 5 7 50.0 90.0 90.0 5.92518E-02 2.61642E-03 2.39356E-03 5.00998E-03 1.89485E-03 0.040396 4 1 60.0 0.0 180.0 4.96528E-02 2.66164E-03 4.13988E-03 6.80152E-03 1.92759E-03 0.083377 4 4 60.0 45.0 135.0 5.07765E-02 2.61790E-03 4.08806E-03 6.70595E-03 1.89592E-03 0.080511 4 7 60.0 90.0 90.0 6.27023E-02 2.63681E-03 4.77392E-03 7.41073E-03 1.90961E-03 0.076136 3 1 70.0 0.0 180.0 6.88936E-02 2.48955E-03 1.14355E-02 1.39250E-02 1.80297E-03 0.165987 3 4 70.0 45.0 135.0 6.69545E-02 2.47727E-03 1.10030E-02 1.34803E-02 1.79407E-03 0.164336 3 7 70.0 90.0 90.0 7.48536E-02 2.51230E-03 1.19653E-02 1.44776E-02 1.81944E-03 0.159849 2 1 80.0 0.0 180.0 1.17051E-01 2.14873E-03 2.84251E-02 3.05739E-02 1.55614E-03 0.242843 2 4 80.0 45.0 135.0 1.08387E-01 2.13528E-03 2.74930E-02 2.96283E-02 1.54640E-03 0.253655 2 7 80.0 90.0 90.0 1.07684E-01 2.18029E-03 2.87926E-02 3.09729E-02 1.57899E-03 0.267382 1 1 87.5 0.0 180.0 1.89250E-01 1.74447E-03 5.01317E-02 5.18761E-02 1.26337E-03 0.264896 1 4 87.5 45.0 135.0 1.70397E-01 1.65270E-03 4.98221E-02 5.14748E-02 1.19691E-03 0.292389 1 7 87.5 90.0 90.0 1.55023E-01 1.88109E-03 5.09897E-02 5.28708E-02 1.36231E-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 1.014E-02 1.000E-01 1.206E-01 1.039E-01 1.559E-01 7.341E-03 5.307E+00 2.446E-03 1.772E-03 1 0.00 0.00 4.538E-03 1.861E-01 9.741E-03 1.199E-02 1.822E-02 3.370E-03 4.321E+00 3 6.15 10.00 8.072E-04 1.490E-01 2.477E-03 3.436E-03 5.931E-03 3.515E-03 4.788E+00 5 12.29 20.00 1.291E-04 3.122E-02 4.604E-04 6.078E-04 9.213E-04 3.606E-03 4.878E+00 7 18.44 30.00 2.018E-05 5.184E-03 7.960E-05 9.822E-05 1.310E-04 3.706E-03 4.876E+00 9 24.59 40.00 3.162E-06 8.063E-04 1.325E-05 1.538E-05 1.861E-05 3.841E-03 4.839E+00 11 30.74 50.00 5.018E-07 1.230E-04 2.157E-06 2.389E-06 2.700E-06 4.030E-03 4.782E+00 Waveband 19 of 30 completed in 6.4 sec. * * * * * Output for wavelength band 20 (590.0 to 600.0 nm; nominal wavelength = 595.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 80.3 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 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1672 0.0247 0.0024 0.1943 3 6.604 10.000 0.1672 0.0247 0.0024 0.1943 5 13.209 20.000 0.1672 0.0247 0.0024 0.1943 7 19.813 30.000 0.1672 0.0247 0.0024 0.1943 9 26.417 40.000 0.1672 0.0247 0.0024 0.1943 11 33.022 50.000 0.1672 0.0247 0.0024 0.1943 Scattering Coefficients of Individual Components at 595.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0014 0.4648 0.0000 0.4661 3 6.604 10.000 0.0014 0.4648 0.0000 0.4661 5 13.209 20.000 0.0014 0.4648 0.0000 0.4661 7 19.813 30.000 0.0014 0.4648 0.0000 0.4661 9 26.417 40.000 0.0014 0.4648 0.0000 0.4661 11 33.022 50.000 0.0014 0.4648 0.0000 0.4661 Backscattering Coefficients of Individual Components at 595.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00068 0.00465 0.00000 0.00533 3 6.604 10.000 0.00068 0.00465 0.00000 0.00533 5 13.209 20.000 0.00068 0.00465 0.00000 0.00533 7 19.813 30.000 0.00068 0.00465 0.00000 0.00533 9 26.417 40.000 0.00068 0.00465 0.00000 0.00533 11 33.022 50.000 0.00068 0.00465 0.00000 0.00533 Summary of Inherent Optical Properties at 595.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1943 0.4661 0.6604 0.7058 0.00533 0.01143 3 6.604 10.000 0.1943 0.4661 0.6604 0.7058 0.00533 0.01143 5 13.209 20.000 0.1943 0.4661 0.6604 0.7058 0.00533 0.01143 7 19.813 30.000 0.1943 0.4661 0.6604 0.7058 0.00533 0.01143 9 26.417 40.000 0.1943 0.4661 0.6604 0.7058 0.00533 0.01143 11 33.022 50.000 0.1943 0.4661 0.6604 0.7058 0.00533 0.01143 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.9361E-01 8 20.00 6.6246E-01 7 30.00 4.1690E-01 6 40.00 2.3260E-01 5 50.00 1.2083E-01 4 60.00 6.1412E-02 3 70.00 3.1894E-02 2 80.00 1.7545E-02 1 87.50 1.1673E-02 1 92.50 8.9424E-03 2 100.00 6.4680E-03 3 110.00 4.5283E-03 4 120.00 3.4196E-03 5 130.00 2.7801E-03 6 140.00 2.4065E-03 7 150.00 2.1887E-03 8 160.00 2.0654E-03 9 170.00 2.0026E-03 10 180.00 1.9810E-03 Asymptotic AOP values are MUu(inf) = 0.3659 MUd(inf) = 0.8115 MU(inf) = 0.7829 R(inf) = 0.0113 Lu(inf)/Ed(inf) = 0.002321 (1/sr) k(inf) = 0.2482 (1/m) absorp(check) = 0.1943 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 595.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.3384E-01 1.8424E+00 1.9763E+00 4.9283E-02 1.3298E+00 0.3682 0.7218 0.6479 3.7061E-02 1 0.00 0.00 3.2657E-02 1.4549E+00 1.4875E+00 1.3085E-02 1.2936E+00 0.4007 0.8891 0.8608 1.0115E-02 3 6.60 10.00 3.7993E-03 1.4600E-01 1.4980E-01 1.4295E-03 1.2010E-01 0.3763 0.8226 0.7922 1.1903E-02 5 13.21 20.00 3.6585E-04 1.2647E-02 1.3013E-02 1.3935E-04 1.0244E-02 0.3809 0.8100 0.7765 1.3604E-02 7 19.81 30.00 3.7945E-05 1.0743E-03 1.1123E-03 1.5038E-05 8.6465E-04 0.3963 0.8048 0.7638 1.7392E-02 9 26.42 40.00 4.7372E-06 9.3103E-05 9.7841E-05 1.9850E-06 7.4193E-05 0.4190 0.7969 0.7380 2.6754E-02 11 33.02 50.00 7.3903E-07 8.5550E-06 9.2941E-06 3.2550E-07 6.6627E-06 0.4404 0.7788 0.6818 4.8855E-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 0.14997 0.20020 0.19909 0.18563 0.22499 0.22539 0.21533 10.000 10.010 10.005 0.23264 0.24127 0.24105 0.23317 0.24410 0.24423 0.23369 20.000 20.010 20.005 0.23276 0.24646 0.24608 0.23007 0.24727 0.24750 0.22555 30.000 30.010 30.005 0.21879 0.24609 0.24516 0.21374 0.24676 0.24734 0.20618 40.000 40.010 40.005 0.19680 0.24244 0.24023 0.19113 0.24392 0.24537 0.18368 50.000 50.010 50.005 0.17581 0.23392 0.22930 0.17171 0.23722 0.24059 0.16687 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 1.64250E-03 7.40045E-03 9.04295E-03 1.23515E-03 0.077552 9 1 10.0 0.0 180.0 5.88819E-02 1.68425E-03 2.15659E-03 3.84084E-03 1.26655E-03 0.036626 9 4 10.0 45.0 135.0 6.46953E-02 1.67144E-03 2.50641E-03 4.17785E-03 1.25692E-03 0.038742 9 7 10.0 90.0 90.0 8.74087E-02 1.65543E-03 5.31041E-03 6.96583E-03 1.24488E-03 0.060754 8 1 20.0 0.0 180.0 4.62509E-02 1.70967E-03 1.13145E-03 2.84111E-03 1.28566E-03 0.024463 8 4 20.0 45.0 135.0 5.14897E-02 1.68295E-03 1.33602E-03 3.01897E-03 1.26557E-03 0.025947 8 7 20.0 90.0 90.0 7.57132E-02 1.66143E-03 3.07961E-03 4.74104E-03 1.24939E-03 0.040675 7 1 30.0 0.0 180.0 4.01020E-02 1.74274E-03 9.65346E-04 2.70809E-03 1.31054E-03 0.024072 7 4 30.0 45.0 135.0 4.44621E-02 1.72675E-03 1.08466E-03 2.81141E-03 1.29851E-03 0.024395 7 7 30.0 90.0 90.0 6.48243E-02 1.69117E-03 1.88774E-03 3.57891E-03 1.27175E-03 0.029121 6 1 40.0 0.0 180.0 3.80644E-02 1.76837E-03 1.07335E-03 2.84171E-03 1.32981E-03 0.028198 6 4 40.0 45.0 135.0 4.16214E-02 1.74641E-03 1.16411E-03 2.91052E-03 1.31330E-03 0.027969 6 7 40.0 90.0 90.0 5.84358E-02 1.71072E-03 1.68767E-03 3.39839E-03 1.28646E-03 0.028881 5 1 50.0 0.0 180.0 3.99093E-02 1.80093E-03 1.69553E-03 3.49645E-03 1.35429E-03 0.042485 5 4 50.0 45.0 135.0 4.25287E-02 1.76789E-03 1.76643E-03 3.53431E-03 1.32945E-03 0.041535 5 7 50.0 90.0 90.0 5.65312E-02 1.73864E-03 2.28366E-03 4.02229E-03 1.30745E-03 0.040396 4 1 60.0 0.0 180.0 4.73729E-02 1.78461E-03 3.94979E-03 5.73440E-03 1.34202E-03 0.083377 4 4 60.0 45.0 135.0 4.84450E-02 1.74906E-03 3.90035E-03 5.64941E-03 1.31529E-03 0.080511 4 7 60.0 90.0 90.0 5.98232E-02 1.74778E-03 4.55472E-03 6.30250E-03 1.31433E-03 0.076136 3 1 70.0 0.0 180.0 6.57303E-02 1.66640E-03 1.09104E-02 1.25768E-02 1.25313E-03 0.165987 3 4 70.0 45.0 135.0 6.38802E-02 1.65199E-03 1.04978E-02 1.21498E-02 1.24229E-03 0.164336 3 7 70.0 90.0 90.0 7.14166E-02 1.66195E-03 1.14159E-02 1.30778E-02 1.24978E-03 0.159849 2 1 80.0 0.0 180.0 1.11677E-01 1.43632E-03 2.71199E-02 2.85563E-02 1.08011E-03 0.242843 2 4 80.0 45.0 135.0 1.03410E-01 1.42185E-03 2.62306E-02 2.76525E-02 1.06923E-03 0.253655 2 7 80.0 90.0 90.0 1.02739E-01 1.44052E-03 2.74706E-02 2.89111E-02 1.08327E-03 0.267382 1 1 87.5 0.0 180.0 1.80561E-01 1.16505E-03 4.78298E-02 4.89948E-02 8.76112E-04 0.264896 1 4 87.5 45.0 135.0 1.62573E-01 1.09960E-03 4.75345E-02 4.86341E-02 8.26893E-04 0.292389 1 7 87.5 90.0 90.0 1.47905E-01 1.24253E-03 4.86484E-02 4.98909E-02 9.34379E-04 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 595.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 9.043E-03 9.543E-02 1.148E-01 9.890E-02 1.485E-01 6.800E-03 5.450E+00 1.642E-03 1.235E-03 1 0.00 0.00 3.047E-03 1.776E-01 6.694E-03 8.287E-03 1.283E-02 2.356E-03 4.294E+00 3 6.60 10.00 3.090E-04 8.178E-02 9.206E-04 1.272E-03 2.189E-03 2.573E-03 4.626E+00 5 13.21 20.00 3.081E-05 9.824E-03 9.748E-05 1.256E-04 1.853E-04 3.007E-03 4.524E+00 7 19.81 30.00 3.538E-06 9.269E-04 1.049E-05 1.238E-05 1.570E-05 4.092E-03 4.250E+00 9 26.42 40.00 5.050E-07 8.183E-05 1.255E-06 1.372E-06 1.548E-06 6.806E-03 3.931E+00 11 33.02 50.00 8.812E-08 7.184E-06 1.791E-07 1.860E-07 1.952E-07 1.323E-02 3.694E+00 Waveband 20 of 30 completed in 7.0 sec. * * * * * Output for wavelength band 21 (600.0 to 610.0 nm; nominal wavelength = 605.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 76.8 m at 605.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 600.0 nm to 610.0 nm: Ed(diffuse) = 3.601E-01 Ed(direct) = 1.006E+00 Ed(total) = 1.366E+00 Absorption Coefficients of Individual Components at 605.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2577 0.0278 0.0020 0.2876 3 7.459 10.000 0.2577 0.0278 0.0020 0.2876 5 14.919 20.000 0.2577 0.0278 0.0020 0.2876 7 22.378 30.000 0.2577 0.0278 0.0020 0.2876 9 29.838 40.000 0.2577 0.0278 0.0020 0.2876 11 37.297 50.000 0.2577 0.0278 0.0020 0.2876 Scattering Coefficients of Individual Components at 605.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0013 0.4571 0.0000 0.4584 3 7.459 10.000 0.0013 0.4571 0.0000 0.4584 5 14.919 20.000 0.0013 0.4571 0.0000 0.4584 7 22.378 30.000 0.0013 0.4571 0.0000 0.4584 9 29.838 40.000 0.0013 0.4571 0.0000 0.4584 11 37.297 50.000 0.0013 0.4571 0.0000 0.4584 Backscattering Coefficients of Individual Components at 605.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00063 0.00457 0.00000 0.00520 3 7.459 10.000 0.00063 0.00457 0.00000 0.00520 5 14.919 20.000 0.00063 0.00457 0.00000 0.00520 7 22.378 30.000 0.00063 0.00457 0.00000 0.00520 9 29.838 40.000 0.00063 0.00457 0.00000 0.00520 11 37.297 50.000 0.00063 0.00457 0.00000 0.00520 Summary of Inherent Optical Properties at 605.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2876 0.4584 0.7459 0.6145 0.00520 0.01136 3 7.459 10.000 0.2876 0.4584 0.7459 0.6145 0.00520 0.01136 5 14.919 20.000 0.2876 0.4584 0.7459 0.6145 0.00520 0.01136 7 22.378 30.000 0.2876 0.4584 0.7459 0.6145 0.00520 0.01136 9 29.838 40.000 0.2876 0.4584 0.7459 0.6145 0.00520 0.01136 11 37.297 50.000 0.2876 0.4584 0.7459 0.6145 0.00520 0.01136 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.6392E-01 8 20.00 5.8720E-01 7 30.00 3.2691E-01 6 40.00 1.5944E-01 5 50.00 7.3149E-02 4 60.00 3.3708E-02 3 70.00 1.6391E-02 2 80.00 8.6813E-03 1 87.50 5.6948E-03 1 92.50 4.3620E-03 2 100.00 3.1549E-03 3 110.00 2.2181E-03 4 120.00 1.6928E-03 5 130.00 1.3948E-03 6 140.00 1.2242E-03 7 150.00 1.1272E-03 8 160.00 1.0738E-03 9 170.00 1.0473E-03 10 180.00 1.0382E-03 Asymptotic AOP values are MUu(inf) = 0.3710 MUd(inf) = 0.8440 MU(inf) = 0.8251 R(inf) = 0.0069 Lu(inf)/Ed(inf) = 0.001496 (1/sr) k(inf) = 0.3486 (1/m) absorp(check) = 0.2876 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 605.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.3293E-01 1.8895E+00 2.0224E+00 4.8545E-02 1.3657E+00 0.3652 0.7228 0.6513 3.5547E-02 1 0.00 0.00 2.1927E-02 1.4846E+00 1.5065E+00 8.6921E-03 1.3258E+00 0.3964 0.8931 0.8743 6.5561E-03 3 7.46 10.00 9.6165E-04 5.1381E-02 5.2342E-02 3.7434E-04 4.3288E-02 0.3893 0.8425 0.8199 8.6477E-03 5 14.92 20.00 6.0449E-05 1.6136E-03 1.6741E-03 2.6223E-05 1.3377E-03 0.4338 0.8290 0.7834 1.9604E-02 7 22.38 30.00 8.6040E-06 6.0142E-05 6.8746E-05 4.0311E-06 4.6832E-05 0.4685 0.7787 0.6226 8.6075E-02 9 29.84 40.00 1.7428E-06 4.3585E-06 6.1014E-06 8.3094E-07 2.8523E-06 0.4768 0.6544 0.3313 2.9132E-01 11 37.30 50.00 3.7868E-07 6.8946E-07 1.0681E-06 1.8115E-07 4.0126E-07 0.4784 0.5820 0.2061 4.5145E-01 K-functions (units of 1/meter) at 605.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.24650 0.30445 0.30361 0.28564 0.32838 0.32866 0.31451 10.000 10.010 10.005 0.31271 0.34599 0.34538 0.30626 0.34781 0.34817 0.29601 20.000 20.010 20.005 0.23269 0.34284 0.33886 0.22083 0.34530 0.34779 0.20651 30.000 30.010 30.005 0.16938 0.30564 0.28858 0.16573 0.31776 0.33209 0.16184 40.000 40.010 40.005 0.15444 0.21576 0.19824 0.15379 0.23406 0.26707 0.15300 50.000 50.010 50.005 0.15164 0.16370 0.15943 0.15149 0.16921 0.18379 0.15122 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 1.09911E-03 7.59453E-03 8.69363E-03 8.04815E-04 0.078167 9 1 10.0 0.0 180.0 5.99505E-02 1.12950E-03 2.20375E-03 3.33325E-03 8.27074E-04 0.036759 9 4 10.0 45.0 135.0 6.58694E-02 1.11996E-03 2.56222E-03 3.68219E-03 8.20087E-04 0.038899 9 7 10.0 90.0 90.0 8.89950E-02 1.10691E-03 5.44376E-03 6.55067E-03 8.10530E-04 0.061169 8 1 20.0 0.0 180.0 4.70903E-02 1.14706E-03 1.15239E-03 2.29944E-03 8.39927E-04 0.024472 8 4 20.0 45.0 135.0 5.24241E-02 1.12752E-03 1.36131E-03 2.48883E-03 8.25620E-04 0.025967 8 7 20.0 90.0 90.0 7.70872E-02 1.10924E-03 3.14956E-03 4.25880E-03 8.12237E-04 0.040857 7 1 30.0 0.0 180.0 4.08298E-02 1.16912E-03 9.82865E-04 2.15199E-03 8.56086E-04 0.024072 7 4 30.0 45.0 135.0 4.52693E-02 1.15611E-03 1.10439E-03 2.26050E-03 8.46556E-04 0.024396 7 7 30.0 90.0 90.0 6.59988E-02 1.12691E-03 1.92477E-03 3.05167E-03 8.25173E-04 0.029164 6 1 40.0 0.0 180.0 3.87552E-02 1.18503E-03 1.09282E-03 2.27785E-03 8.67731E-04 0.028198 6 4 40.0 45.0 135.0 4.23767E-02 1.16726E-03 1.18524E-03 2.35250E-03 8.54722E-04 0.027969 6 7 40.0 90.0 90.0 5.94963E-02 1.13632E-03 1.71848E-03 2.85480E-03 8.32063E-04 0.028884 5 1 50.0 0.0 180.0 4.06335E-02 1.20503E-03 1.72630E-03 2.93132E-03 8.82374E-04 0.042485 5 4 50.0 45.0 135.0 4.33005E-02 1.17933E-03 1.79848E-03 2.97782E-03 8.63560E-04 0.041535 5 7 50.0 90.0 90.0 5.75571E-02 1.15164E-03 2.32510E-03 3.47674E-03 8.43280E-04 0.040396 4 1 60.0 0.0 180.0 4.82326E-02 1.19215E-03 4.02147E-03 5.21363E-03 8.72949E-04 0.083377 4 4 60.0 45.0 135.0 4.93242E-02 1.16445E-03 3.97113E-03 5.13558E-03 8.52662E-04 0.080511 4 7 60.0 90.0 90.0 6.09089E-02 1.15467E-03 4.63738E-03 5.79205E-03 8.45500E-04 0.076136 3 1 70.0 0.0 180.0 6.69231E-02 1.11115E-03 1.11084E-02 1.22195E-02 8.13632E-04 0.165987 3 4 70.0 45.0 135.0 6.50395E-02 1.09757E-03 1.06883E-02 1.17859E-02 8.03690E-04 0.164336 3 7 70.0 90.0 90.0 7.27126E-02 1.09549E-03 1.16230E-02 1.27185E-02 8.02171E-04 0.159849 2 1 80.0 0.0 180.0 1.13703E-01 9.56259E-04 2.76121E-02 2.85684E-02 7.00216E-04 0.242843 2 4 80.0 45.0 135.0 1.05287E-01 9.43085E-04 2.67066E-02 2.76497E-02 6.90570E-04 0.253655 2 7 80.0 90.0 90.0 1.04604E-01 9.48063E-04 2.79691E-02 2.89172E-02 6.94214E-04 0.267382 1 1 87.5 0.0 180.0 1.83838E-01 7.74739E-04 4.86978E-02 4.94725E-02 5.67299E-04 0.264896 1 4 87.5 45.0 135.0 1.65523E-01 7.28510E-04 4.83971E-02 4.91257E-02 5.33448E-04 0.292389 1 7 87.5 90.0 90.0 1.50590E-01 8.17204E-04 4.95313E-02 5.03485E-02 5.98394E-04 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 605.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 8.694E-03 9.716E-02 1.167E-01 1.005E-01 1.509E-01 6.366E-03 5.584E+00 1.099E-03 8.048E-04 1 0.00 0.00 2.039E-03 1.808E-01 4.609E-03 5.740E-03 9.050E-03 1.538E-03 4.262E+00 3 7.46 10.00 8.729E-05 3.180E-02 2.289E-04 3.085E-04 5.158E-04 2.016E-03 4.289E+00 5 14.92 20.00 7.089E-06 1.454E-03 1.367E-05 1.580E-05 2.025E-05 5.299E-03 3.699E+00 7 22.38 30.00 1.187E-06 5.378E-05 1.716E-06 1.765E-06 1.850E-06 2.535E-02 3.395E+00 9 29.84 40.00 2.494E-07 2.340E-06 3.320E-07 3.331E-07 3.347E-07 8.744E-02 3.332E+00 11 37.30 50.00 5.462E-08 2.065E-07 7.141E-08 7.143E-08 7.146E-08 1.361E-01 3.317E+00 Waveband 21 of 30 completed in 8.5 sec. * * * * * Output for wavelength band 22 (610.0 to 620.0 nm; nominal wavelength = 615.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 76.8 m at 615.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 610.0 nm to 620.0 nm: Ed(diffuse) = 3.486E-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 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2678 0.0268 0.0018 0.2964 3 7.472 10.000 0.2678 0.0268 0.0018 0.2964 5 14.944 20.000 0.2678 0.0268 0.0018 0.2964 7 22.417 30.000 0.2678 0.0268 0.0018 0.2964 9 29.889 40.000 0.2678 0.0268 0.0018 0.2964 11 37.361 50.000 0.2678 0.0268 0.0018 0.2964 Scattering Coefficients of Individual Components at 615.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0012 0.4497 0.0000 0.4508 3 7.472 10.000 0.0012 0.4497 0.0000 0.4508 5 14.944 20.000 0.0012 0.4497 0.0000 0.4508 7 22.417 30.000 0.0012 0.4497 0.0000 0.4508 9 29.889 40.000 0.0012 0.4497 0.0000 0.4508 11 37.361 50.000 0.0012 0.4497 0.0000 0.4508 Backscattering Coefficients of Individual Components at 615.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00059 0.00450 0.00000 0.00509 3 7.472 10.000 0.00059 0.00450 0.00000 0.00509 5 14.944 20.000 0.00059 0.00450 0.00000 0.00509 7 22.417 30.000 0.00059 0.00450 0.00000 0.00509 9 29.889 40.000 0.00059 0.00450 0.00000 0.00509 11 37.361 50.000 0.00059 0.00450 0.00000 0.00509 Summary of Inherent Optical Properties at 615.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2964 0.4508 0.7472 0.6034 0.00509 0.01128 3 7.472 10.000 0.2964 0.4508 0.7472 0.6034 0.00509 0.01128 5 14.944 20.000 0.2964 0.4508 0.7472 0.6034 0.00509 0.01128 7 22.417 30.000 0.2964 0.4508 0.7472 0.6034 0.00509 0.01128 9 29.889 40.000 0.2964 0.4508 0.7472 0.6034 0.00509 0.01128 11 37.361 50.000 0.2964 0.4508 0.7472 0.6034 0.00509 0.01128 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.6003E-01 8 20.00 5.7789E-01 7 30.00 3.1669E-01 6 40.00 1.5189E-01 5 50.00 6.8674E-02 4 60.00 3.1306E-02 3 70.00 1.5121E-02 2 80.00 7.9796E-03 1 87.50 5.2274E-03 1 92.50 4.0040E-03 2 100.00 2.8953E-03 3 110.00 2.0355E-03 4 120.00 1.5541E-03 5 130.00 1.2815E-03 6 140.00 1.1258E-03 7 150.00 1.0374E-03 8 160.00 9.8897E-04 9 170.00 9.6500E-04 10 180.00 9.5678E-04 Asymptotic AOP values are MUu(inf) = 0.3713 MUd(inf) = 0.8475 MU(inf) = 0.8296 R(inf) = 0.0065 Lu(inf)/Ed(inf) = 0.001414 (1/sr) k(inf) = 0.3573 (1/m) absorp(check) = 0.2964 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 615.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.2869E-01 1.8420E+00 1.9707E+00 4.7081E-02 1.3331E+00 0.3658 0.7237 0.6526 3.5317E-02 1 0.00 0.00 2.0263E-02 1.4481E+00 1.4684E+00 8.0146E-03 1.2940E+00 0.3955 0.8936 0.8758 6.1935E-03 3 7.47 10.00 8.0925E-04 4.5540E-02 4.6349E-02 3.1531E-04 3.8484E-02 0.3896 0.8451 0.8235 8.1933E-03 5 14.94 20.00 4.8970E-05 1.3075E-03 1.3564E-03 2.1388E-05 1.0873E-03 0.4367 0.8316 0.7858 1.9671E-02 7 22.42 30.00 7.0202E-06 4.5579E-05 5.2600E-05 3.3031E-06 3.5369E-05 0.4705 0.7760 0.6096 9.3391E-02 9 29.89 40.00 1.4127E-06 3.3297E-06 4.7423E-06 6.7488E-07 2.1465E-06 0.4777 0.6447 0.3103 3.1441E-01 11 37.36 50.00 3.0236E-07 5.3839E-07 8.4075E-07 1.4484E-07 3.1110E-07 0.4791 0.5778 0.1977 4.6558E-01 K-functions (units of 1/meter) at 615.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.25672 0.31445 0.31366 0.29567 0.33790 0.33816 0.32421 10.000 10.010 10.005 0.32028 0.35526 0.35465 0.31333 0.35698 0.35734 0.30233 20.000 20.010 20.005 0.23271 0.35135 0.34706 0.22066 0.35396 0.35663 0.20633 30.000 30.010 30.005 0.16919 0.30918 0.29048 0.16590 0.32267 0.33883 0.16244 40.000 40.010 40.005 0.15572 0.21225 0.19541 0.15517 0.23053 0.26511 0.15450 50.000 50.010 50.005 0.15331 0.16325 0.15967 0.15316 0.16795 0.18085 0.15293 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 1.01191E-03 7.40839E-03 8.42030E-03 7.59059E-04 0.078756 9 1 10.0 0.0 180.0 5.80437E-02 1.04004E-03 2.14110E-03 3.18114E-03 7.80162E-04 0.036888 9 4 10.0 45.0 135.0 6.37743E-02 1.03120E-03 2.49030E-03 3.52150E-03 7.73530E-04 0.039049 9 7 10.0 90.0 90.0 8.61644E-02 1.01906E-03 5.30490E-03 6.32396E-03 7.64422E-04 0.061567 8 1 20.0 0.0 180.0 4.55925E-02 1.05626E-03 1.11611E-03 2.17237E-03 7.92330E-04 0.024480 8 4 20.0 45.0 135.0 5.07567E-02 1.03817E-03 1.31899E-03 2.35716E-03 7.78760E-04 0.025986 8 7 20.0 90.0 90.0 7.46354E-02 1.02115E-03 3.06243E-03 4.08357E-03 7.65988E-04 0.041032 7 1 30.0 0.0 180.0 3.95312E-02 1.07661E-03 9.51604E-04 2.02822E-03 8.07595E-04 0.024072 7 4 30.0 45.0 135.0 4.38298E-02 1.06449E-03 1.06931E-03 2.13380E-03 7.98502E-04 0.024397 7 7 30.0 90.0 90.0 6.38979E-02 1.03734E-03 1.86611E-03 2.90345E-03 7.78139E-04 0.029205 6 1 40.0 0.0 180.0 3.75225E-02 1.09124E-03 1.05807E-03 2.14931E-03 8.18569E-04 0.028198 6 4 40.0 45.0 135.0 4.10289E-02 1.07471E-03 1.14754E-03 2.22225E-03 8.06165E-04 0.027969 6 7 40.0 90.0 90.0 5.76039E-02 1.04592E-03 1.66399E-03 2.70991E-03 7.84574E-04 0.028887 5 1 50.0 0.0 180.0 3.93411E-02 1.10961E-03 1.67139E-03 2.78100E-03 8.32350E-04 0.042485 5 4 50.0 45.0 135.0 4.19233E-02 1.08576E-03 1.74128E-03 2.82705E-03 8.14461E-04 0.041535 5 7 50.0 90.0 90.0 5.57265E-02 1.06001E-03 2.25115E-03 3.31116E-03 7.95139E-04 0.040396 4 1 60.0 0.0 180.0 4.66985E-02 1.09772E-03 3.89357E-03 4.99128E-03 8.23427E-04 0.083377 4 4 60.0 45.0 135.0 4.77554E-02 1.07202E-03 3.84482E-03 4.91684E-03 8.04149E-04 0.080511 4 7 60.0 90.0 90.0 5.89717E-02 1.06282E-03 4.48988E-03 5.55270E-03 7.97250E-04 0.076136 3 1 70.0 0.0 180.0 6.47946E-02 1.02310E-03 1.07551E-02 1.17782E-02 7.67453E-04 0.165987 3 4 70.0 45.0 135.0 6.29709E-02 1.01044E-03 1.03484E-02 1.13588E-02 7.57959E-04 0.164336 3 7 70.0 90.0 90.0 7.03999E-02 1.00848E-03 1.12534E-02 1.22618E-02 7.56487E-04 0.159849 2 1 80.0 0.0 180.0 1.10087E-01 8.80483E-04 2.67339E-02 2.76144E-02 6.60474E-04 0.242843 2 4 80.0 45.0 135.0 1.01938E-01 8.68246E-04 2.58572E-02 2.67255E-02 6.51294E-04 0.253655 2 7 80.0 90.0 90.0 1.01277E-01 8.72904E-04 2.70795E-02 2.79524E-02 6.54788E-04 0.267382 1 1 87.5 0.0 180.0 1.77990E-01 7.13379E-04 4.71489E-02 4.78623E-02 5.35125E-04 0.264896 1 4 87.5 45.0 135.0 1.60258E-01 6.70757E-04 4.68578E-02 4.75286E-02 5.03153E-04 0.292389 1 7 87.5 90.0 90.0 1.45800E-01 7.52617E-04 4.79559E-02 4.87085E-02 5.64558E-04 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 615.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 8.420E-03 9.407E-02 1.129E-01 9.725E-02 1.461E-01 6.316E-03 5.591E+00 1.012E-03 7.591E-04 1 0.00 0.00 1.878E-03 1.750E-01 4.268E-03 5.329E-03 8.437E-03 1.451E-03 4.268E+00 3 7.47 10.00 7.376E-05 2.826E-02 1.922E-04 2.593E-04 4.345E-04 1.917E-03 4.275E+00 5 14.94 20.00 5.839E-06 1.194E-03 1.094E-05 1.258E-05 1.601E-05 5.370E-03 3.663E+00 7 22.42 30.00 9.787E-07 4.084E-05 1.384E-06 1.419E-06 1.479E-06 2.767E-02 3.375E+00 9 29.89 40.00 2.033E-07 1.701E-06 2.675E-07 2.682E-07 2.692E-07 9.469E-02 3.320E+00 11 37.36 50.00 4.379E-08 1.550E-07 5.677E-08 5.678E-08 5.680E-08 1.408E-01 3.308E+00 Waveband 22 of 30 completed in 8.6 sec. * * * * * Output for wavelength band 23 (620.0 to 630.0 nm; nominal wavelength = 625.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 76.4 m at 625.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 620.0 nm to 630.0 nm: Ed(diffuse) = 3.421E-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 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2834 0.0299 0.0015 0.3148 3 7.584 10.000 0.2834 0.0299 0.0015 0.3148 5 15.168 20.000 0.2834 0.0299 0.0015 0.3148 7 22.752 30.000 0.2834 0.0299 0.0015 0.3148 9 30.336 40.000 0.2834 0.0299 0.0015 0.3148 11 37.921 50.000 0.2834 0.0299 0.0015 0.3148 Scattering Coefficients of Individual Components at 625.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0011 0.4425 0.0000 0.4436 3 7.584 10.000 0.0011 0.4425 0.0000 0.4436 5 15.168 20.000 0.0011 0.4425 0.0000 0.4436 7 22.752 30.000 0.0011 0.4425 0.0000 0.4436 9 30.336 40.000 0.0011 0.4425 0.0000 0.4436 11 37.921 50.000 0.0011 0.4425 0.0000 0.4436 Backscattering Coefficients of Individual Components at 625.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00055 0.00442 0.00000 0.00498 3 7.584 10.000 0.00055 0.00442 0.00000 0.00498 5 15.168 20.000 0.00055 0.00442 0.00000 0.00498 7 22.752 30.000 0.00055 0.00442 0.00000 0.00498 9 30.336 40.000 0.00055 0.00442 0.00000 0.00498 11 37.921 50.000 0.00055 0.00442 0.00000 0.00498 Summary of Inherent Optical Properties at 625.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3148 0.4436 0.7584 0.5849 0.00498 0.01122 3 7.584 10.000 0.3148 0.4436 0.7584 0.5849 0.00498 0.01122 5 15.168 20.000 0.3148 0.4436 0.7584 0.5849 0.00498 0.01122 7 22.752 30.000 0.3148 0.4436 0.7584 0.5849 0.00498 0.01122 9 30.336 40.000 0.3148 0.4436 0.7584 0.5849 0.00498 0.01122 11 37.921 50.000 0.3148 0.4436 0.7584 0.5849 0.00498 0.01122 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.5338E-01 8 20.00 5.6227E-01 7 30.00 3.0000E-01 6 40.00 1.3993E-01 5 50.00 6.1763E-02 4 60.00 2.7677E-02 3 70.00 1.3234E-02 2 80.00 6.9492E-03 1 87.50 4.5455E-03 1 92.50 3.4832E-03 2 100.00 2.5193E-03 3 110.00 1.7723E-03 4 120.00 1.3552E-03 5 130.00 1.1196E-03 6 140.00 9.8547E-04 7 150.00 9.0977E-04 8 160.00 8.6845E-04 9 170.00 8.4813E-04 10 180.00 8.4117E-04 Asymptotic AOP values are MUu(inf) = 0.3720 MUd(inf) = 0.8532 MU(inf) = 0.8367 R(inf) = 0.0060 Lu(inf)/Ed(inf) = 0.001295 (1/sr) k(inf) = 0.3763 (1/m) absorp(check) = 0.3149 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 625.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.2612E-01 1.8196E+00 1.9457E+00 4.6189E-02 1.3185E+00 0.3662 0.7246 0.6539 3.5031E-02 1 0.00 0.00 1.8410E-02 1.4308E+00 1.4492E+00 7.2612E-03 1.2796E+00 0.3944 0.8943 0.8780 5.6746E-03 3 7.58 10.00 6.1114E-04 3.6663E-02 3.7274E-02 2.3970E-04 3.1123E-02 0.3922 0.8489 0.8285 7.7018E-03 5 15.17 20.00 3.6545E-05 8.7121E-04 9.0776E-04 1.6303E-05 7.2637E-04 0.4461 0.8337 0.7822 2.2445E-02 7 22.75 30.00 5.6389E-06 2.7662E-05 3.3301E-05 2.6804E-06 2.0930E-05 0.4753 0.7566 0.5480 1.2807E-01 9 30.34 40.00 1.1523E-06 2.3205E-06 3.4727E-06 5.5318E-07 1.4262E-06 0.4801 0.6146 0.2514 3.8787E-01 11 37.92 50.00 2.4528E-07 4.1381E-07 6.5908E-07 1.1795E-07 2.3505E-07 0.4809 0.5680 0.1777 5.0182E-01 K-functions (units of 1/meter) at 625.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.27721 0.33529 0.33455 0.31620 0.35816 0.35839 0.34424 10.000 10.010 10.005 0.33301 0.37520 0.37451 0.32435 0.37678 0.37719 0.31087 20.000 20.010 20.005 0.22439 0.36825 0.36246 0.21257 0.37171 0.37536 0.19909 30.000 30.010 30.005 0.16520 0.30633 0.28242 0.16290 0.32481 0.34861 0.16048 40.000 40.010 40.005 0.15574 0.19563 0.18239 0.15542 0.21144 0.24696 0.15498 50.000 50.010 50.005 0.15411 0.15942 0.15744 0.15403 0.16207 0.17017 0.15385 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 9.16064E-04 7.32262E-03 8.23868E-03 6.94765E-04 0.079317 9 1 10.0 0.0 180.0 5.69657E-02 9.41789E-04 2.10829E-03 3.05008E-03 7.14275E-04 0.037010 9 4 10.0 45.0 135.0 6.25899E-02 9.33684E-04 2.45300E-03 3.38669E-03 7.08128E-04 0.039192 9 7 10.0 90.0 90.0 8.45642E-02 9.22462E-04 5.23844E-03 6.16090E-03 6.99617E-04 0.061946 8 1 20.0 0.0 180.0 4.47458E-02 9.56554E-04 1.09573E-03 2.05229E-03 7.25473E-04 0.024488 8 4 20.0 45.0 135.0 4.98141E-02 9.40003E-04 1.29540E-03 2.23541E-03 7.12920E-04 0.026005 8 7 20.0 90.0 90.0 7.32493E-02 9.24211E-04 3.01775E-03 3.94196E-03 7.00943E-04 0.041198 7 1 30.0 0.0 180.0 3.87970E-02 9.75002E-04 9.33930E-04 1.90893E-03 7.39464E-04 0.024072 7 4 30.0 45.0 135.0 4.30160E-02 9.63784E-04 1.04950E-03 2.01328E-03 7.30956E-04 0.024398 7 7 30.0 90.0 90.0 6.27096E-02 9.38694E-04 1.83385E-03 2.77255E-03 7.11927E-04 0.029244 6 1 40.0 0.0 180.0 3.68257E-02 9.88166E-04 1.03842E-03 2.02658E-03 7.49449E-04 0.028198 6 4 40.0 45.0 135.0 4.02669E-02 9.72878E-04 1.12623E-03 2.09911E-03 7.37854E-04 0.027969 6 7 40.0 90.0 90.0 5.65341E-02 9.46185E-04 1.63324E-03 2.57943E-03 7.17609E-04 0.028890 5 1 50.0 0.0 180.0 3.86105E-02 1.00466E-03 1.64035E-03 2.64501E-03 7.61961E-04 0.042485 5 4 50.0 45.0 135.0 4.11447E-02 9.82715E-04 1.70894E-03 2.69166E-03 7.45314E-04 0.041535 5 7 50.0 90.0 90.0 5.46915E-02 9.58728E-04 2.20934E-03 3.16807E-03 7.27121E-04 0.040396 4 1 60.0 0.0 180.0 4.58313E-02 9.93745E-04 3.82126E-03 4.81500E-03 7.53679E-04 0.083377 4 4 60.0 45.0 135.0 4.68685E-02 9.70103E-04 3.77342E-03 4.74352E-03 7.35749E-04 0.080511 4 7 60.0 90.0 90.0 5.78765E-02 9.61114E-04 4.40650E-03 5.36761E-03 7.28931E-04 0.076136 3 1 70.0 0.0 180.0 6.35912E-02 9.26050E-04 1.05553E-02 1.14814E-02 7.02338E-04 0.165987 3 4 70.0 45.0 135.0 6.18014E-02 9.14240E-04 1.01562E-02 1.10704E-02 6.93381E-04 0.164336 3 7 70.0 90.0 90.0 6.90925E-02 9.11922E-04 1.10444E-02 1.19563E-02 6.91623E-04 0.159849 2 1 80.0 0.0 180.0 1.08042E-01 7.96871E-04 2.62374E-02 2.70343E-02 6.04366E-04 0.242843 2 4 80.0 45.0 135.0 1.00045E-01 7.85506E-04 2.53770E-02 2.61625E-02 5.95746E-04 0.253655 2 7 80.0 90.0 90.0 9.93957E-02 7.89350E-04 2.65766E-02 2.73660E-02 5.98662E-04 0.267382 1 1 87.5 0.0 180.0 1.74685E-01 6.45601E-04 4.62733E-02 4.69189E-02 4.89639E-04 0.264896 1 4 87.5 45.0 135.0 1.57282E-01 6.06828E-04 4.59876E-02 4.65944E-02 4.60233E-04 0.292389 1 7 87.5 90.0 90.0 1.43092E-01 6.80693E-04 4.70653E-02 4.77460E-02 5.16254E-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 8.239E-03 9.232E-02 1.108E-01 9.542E-02 1.433E-01 6.248E-03 5.606E+00 9.161E-04 6.948E-04 1 0.00 0.00 1.700E-03 1.718E-01 3.894E-03 4.876E-03 7.757E-03 1.328E-03 4.272E+00 3 7.58 10.00 5.683E-05 2.301E-02 1.442E-04 1.938E-04 3.235E-04 1.826E-03 4.218E+00 5 15.17 20.00 4.577E-06 8.121E-04 7.862E-06 8.849E-06 1.093E-05 6.302E-03 3.562E+00 7 22.75 30.00 8.053E-07 2.366E-05 1.081E-06 1.098E-06 1.128E-06 3.847E-02 3.329E+00 9 30.34 40.00 1.680E-07 9.756E-07 2.150E-07 2.152E-07 2.157E-07 1.178E-01 3.293E+00 11 37.92 50.00 3.591E-08 1.077E-07 4.552E-08 4.553E-08 4.553E-08 1.528E-01 3.284E+00 Waveband 23 of 30 completed in 9.0 sec. * * * * * Output for wavelength band 24 (630.0 to 640.0 nm; nominal wavelength = 635.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 75.9 m at 635.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 630.0 nm to 640.0 nm: Ed(diffuse) = 3.354E-01 Ed(direct) = 9.668E-01 Ed(total) = 1.302E+00 Absorption Coefficients of Individual Components at 635.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3012 0.0340 0.0013 0.3366 3 7.731 10.000 0.3012 0.0340 0.0013 0.3366 5 15.462 20.000 0.3012 0.0340 0.0013 0.3366 7 23.193 30.000 0.3012 0.0340 0.0013 0.3366 9 30.924 40.000 0.3012 0.0340 0.0013 0.3366 11 38.655 50.000 0.3012 0.0340 0.0013 0.3366 Scattering Coefficients of Individual Components at 635.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0010 0.4355 0.0000 0.4365 3 7.731 10.000 0.0010 0.4355 0.0000 0.4365 5 15.462 20.000 0.0010 0.4355 0.0000 0.4365 7 23.193 30.000 0.0010 0.4355 0.0000 0.4365 9 30.924 40.000 0.0010 0.4355 0.0000 0.4365 11 38.655 50.000 0.0010 0.4355 0.0000 0.4365 Backscattering Coefficients of Individual Components at 635.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00051 0.00435 0.00000 0.00487 3 7.731 10.000 0.00051 0.00435 0.00000 0.00487 5 15.462 20.000 0.00051 0.00435 0.00000 0.00487 7 23.193 30.000 0.00051 0.00435 0.00000 0.00487 9 30.924 40.000 0.00051 0.00435 0.00000 0.00487 11 38.655 50.000 0.00051 0.00435 0.00000 0.00487 Summary of Inherent Optical Properties at 635.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3366 0.4365 0.7731 0.5646 0.00487 0.01115 3 7.731 10.000 0.3366 0.4365 0.7731 0.5646 0.00487 0.01115 5 15.462 20.000 0.3366 0.4365 0.7731 0.5646 0.00487 0.01115 7 23.193 30.000 0.3366 0.4365 0.7731 0.5646 0.00487 0.01115 9 30.924 40.000 0.3366 0.4365 0.7731 0.5646 0.00487 0.01115 11 38.655 50.000 0.3366 0.4365 0.7731 0.5646 0.00487 0.01115 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.4584E-01 8 20.00 5.4501E-01 7 30.00 2.8219E-01 6 40.00 1.2763E-01 5 50.00 5.4898E-02 4 60.00 2.4167E-02 3 70.00 1.1442E-02 2 80.00 5.9808E-03 1 87.50 3.9075E-03 1 92.50 2.9964E-03 2 100.00 2.1682E-03 3 110.00 1.5268E-03 4 120.00 1.1695E-03 5 130.00 9.6827E-04 6 140.00 8.5415E-04 7 150.00 7.9006E-04 8 160.00 7.5530E-04 9 170.00 7.3830E-04 10 180.00 7.3250E-04 Asymptotic AOP values are MUu(inf) = 0.3729 MUd(inf) = 0.8591 MU(inf) = 0.8441 R(inf) = 0.0054 Lu(inf)/Ed(inf) = 0.001180 (1/sr) k(inf) = 0.3988 (1/m) absorp(check) = 0.3366 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 635.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.2346E-01 1.7950E+00 1.9184E+00 4.5262E-02 1.3022E+00 0.3666 0.7255 0.6552 3.4757E-02 1 0.00 0.00 1.6618E-02 1.4117E+00 1.4283E+00 6.5376E-03 1.2635E+00 0.3934 0.8950 0.8800 5.1741E-03 3 7.73 10.00 4.5355E-04 2.8440E-02 2.8893E-02 1.8027E-04 2.4252E-02 0.3975 0.8528 0.8331 7.4331E-03 5 15.46 20.00 3.0002E-05 5.4659E-04 5.7659E-04 1.3790E-05 4.5498E-04 0.4596 0.8324 0.7652 3.0309E-02 7 23.19 30.00 5.4043E-06 1.7492E-05 2.2896E-05 2.6001E-06 1.2467E-05 0.4811 0.7128 0.4310 2.0855E-01 9 30.92 40.00 1.1810E-06 2.0212E-06 3.2022E-06 5.7113E-07 1.1747E-06 0.4836 0.5812 0.1885 4.8618E-01 11 38.65 50.00 2.6371E-07 4.1735E-07 6.8106E-07 1.2767E-07 2.3318E-07 0.4841 0.5587 0.1549 5.4752E-01 K-functions (units of 1/meter) at 635.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.30092 0.35979 0.35911 0.34006 0.38203 0.38225 0.36739 10.000 10.010 10.005 0.34169 0.39854 0.39765 0.32993 0.40004 0.40056 0.31211 20.000 20.010 20.005 0.20345 0.38481 0.37537 0.19317 0.39041 0.39658 0.18203 30.000 30.010 30.005 0.15581 0.28138 0.25173 0.15454 0.30755 0.34790 0.15315 40.000 40.010 40.005 0.15058 0.17053 0.16317 0.15038 0.18030 0.20862 0.15008 50.000 50.010 50.005 0.14957 0.15142 0.15070 0.14950 0.15240 0.15591 0.14933 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 8.24570E-04 7.22775E-03 8.05232E-03 6.33192E-04 0.079860 9 1 10.0 0.0 180.0 5.58452E-02 8.47939E-04 2.07342E-03 2.92136E-03 6.51137E-04 0.037128 9 4 10.0 45.0 135.0 6.13587E-02 8.40556E-04 2.41324E-03 3.25380E-03 6.45467E-04 0.039330 9 7 10.0 90.0 90.0 8.29008E-02 8.30250E-04 5.16582E-03 5.99607E-03 6.37554E-04 0.062313 8 1 20.0 0.0 180.0 4.38656E-02 8.61276E-04 1.07451E-03 1.93579E-03 6.61379E-04 0.024496 8 4 20.0 45.0 135.0 4.88342E-02 8.46226E-04 1.27079E-03 2.11701E-03 6.49821E-04 0.026022 8 7 20.0 90.0 90.0 7.18084E-02 8.31675E-04 2.96995E-03 3.80163E-03 6.38648E-04 0.041359 7 1 30.0 0.0 180.0 3.80338E-02 8.77873E-04 9.15559E-04 1.79343E-03 6.74123E-04 0.024072 7 4 30.0 45.0 135.0 4.21701E-02 8.67562E-04 1.02889E-03 1.89645E-03 6.66206E-04 0.024399 7 7 30.0 90.0 90.0 6.14745E-02 8.44519E-04 1.80005E-03 2.64457E-03 6.48511E-04 0.029281 6 1 40.0 0.0 180.0 3.61013E-02 8.89601E-04 1.01799E-03 1.90759E-03 6.83130E-04 0.028198 6 4 40.0 45.0 135.0 3.94748E-02 8.75560E-04 1.10408E-03 1.97964E-03 6.72348E-04 0.027969 6 7 40.0 90.0 90.0 5.54220E-02 8.50958E-04 1.60126E-03 2.45222E-03 6.53455E-04 0.028892 5 1 50.0 0.0 180.0 3.78510E-02 9.04281E-04 1.60808E-03 2.51236E-03 6.94403E-04 0.042485 5 4 50.0 45.0 135.0 4.03354E-02 8.84208E-04 1.67533E-03 2.55953E-03 6.78988E-04 0.041535 5 7 50.0 90.0 90.0 5.36157E-02 8.61998E-04 2.16588E-03 3.02788E-03 6.61933E-04 0.040396 4 1 60.0 0.0 180.0 4.49297E-02 8.94272E-04 3.74609E-03 4.64036E-03 6.86716E-04 0.083377 4 4 60.0 45.0 135.0 4.59466E-02 8.72656E-04 3.69919E-03 4.57185E-03 6.70118E-04 0.080511 4 7 60.0 90.0 90.0 5.67380E-02 8.63935E-04 4.31982E-03 5.18375E-03 6.63420E-04 0.076136 3 1 70.0 0.0 180.0 6.23404E-02 8.33172E-04 1.03477E-02 1.11809E-02 6.39798E-04 0.165987 3 4 70.0 45.0 135.0 6.05857E-02 8.22224E-04 9.95640E-03 1.07786E-02 6.31390E-04 0.164336 3 7 70.0 90.0 90.0 6.77334E-02 8.19595E-04 1.08271E-02 1.16467E-02 6.29372E-04 0.159849 2 1 80.0 0.0 180.0 1.05917E-01 7.16826E-04 2.57213E-02 2.64381E-02 5.50455E-04 0.242843 2 4 80.0 45.0 135.0 9.80772E-02 7.06330E-04 2.48778E-02 2.55841E-02 5.42395E-04 0.253655 2 7 80.0 90.0 90.0 9.74406E-02 7.09393E-04 2.60538E-02 2.67632E-02 5.44747E-04 0.267382 1 1 87.5 0.0 180.0 1.71249E-01 5.80685E-04 4.53631E-02 4.59437E-02 4.45911E-04 0.264896 1 4 87.5 45.0 135.0 1.54188E-01 5.45620E-04 4.50830E-02 4.56286E-02 4.18984E-04 0.292389 1 7 87.5 90.0 90.0 1.40277E-01 6.11793E-04 4.61395E-02 4.67513E-02 4.69799E-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 8.052E-03 9.050E-02 1.086E-01 9.351E-02 1.405E-01 6.183E-03 5.621E+00 8.246E-04 6.332E-04 1 0.00 0.00 1.530E-03 1.684E-01 3.534E-03 4.435E-03 7.088E-03 1.211E-03 4.273E+00 3 7.73 10.00 4.378E-05 1.810E-02 1.055E-04 1.406E-04 2.323E-04 1.805E-03 4.118E+00 5 15.46 20.00 4.024E-06 5.168E-04 6.091E-06 6.639E-06 7.796E-06 8.843E-03 3.427E+00 7 23.19 30.00 7.954E-07 1.288E-05 1.001E-06 1.008E-06 1.022E-06 6.380E-02 3.269E+00 9 30.92 40.00 1.758E-07 6.404E-07 2.156E-07 2.157E-07 2.158E-07 1.496E-01 3.249E+00 11 38.65 50.00 3.937E-08 9.889E-08 4.800E-08 4.800E-08 4.800E-08 1.689E-01 3.242E+00 Waveband 24 of 30 completed in 9.1 sec. * * * * * Output for wavelength band 25 (640.0 to 650.0 nm; nominal wavelength = 645.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 75.4 m at 645.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 640.0 nm to 650.0 nm: Ed(diffuse) = 3.226E-01 Ed(direct) = 9.388E-01 Ed(total) = 1.261E+00 Absorption Coefficients of Individual Components at 645.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3250 0.0330 0.0012 0.3592 3 7.889 10.000 0.3250 0.0330 0.0012 0.3592 5 15.777 20.000 0.3250 0.0330 0.0012 0.3592 7 23.666 30.000 0.3250 0.0330 0.0012 0.3592 9 31.555 40.000 0.3250 0.0330 0.0012 0.3592 11 39.443 50.000 0.3250 0.0330 0.0012 0.3592 Scattering Coefficients of Individual Components at 645.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0010 0.4287 0.0000 0.4297 3 7.889 10.000 0.0010 0.4287 0.0000 0.4297 5 15.777 20.000 0.0010 0.4287 0.0000 0.4297 7 23.666 30.000 0.0010 0.4287 0.0000 0.4297 9 31.555 40.000 0.0010 0.4287 0.0000 0.4297 11 39.443 50.000 0.0010 0.4287 0.0000 0.4297 Backscattering Coefficients of Individual Components at 645.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00048 0.00429 0.00000 0.00477 3 7.889 10.000 0.00048 0.00429 0.00000 0.00477 5 15.777 20.000 0.00048 0.00429 0.00000 0.00477 7 23.666 30.000 0.00048 0.00429 0.00000 0.00477 9 31.555 40.000 0.00048 0.00429 0.00000 0.00477 11 39.443 50.000 0.00048 0.00429 0.00000 0.00477 Summary of Inherent Optical Properties at 645.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3592 0.4297 0.7889 0.5447 0.00477 0.01110 3 7.889 10.000 0.3592 0.4297 0.7889 0.5447 0.00477 0.01110 5 15.777 20.000 0.3592 0.4297 0.7889 0.5447 0.00477 0.01110 7 23.666 30.000 0.3592 0.4297 0.7889 0.5447 0.00477 0.01110 9 31.555 40.000 0.3592 0.4297 0.7889 0.5447 0.00477 0.01110 11 39.443 50.000 0.3592 0.4297 0.7889 0.5447 0.00477 0.01110 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.3811E-01 8 20.00 5.2777E-01 7 30.00 2.6506E-01 6 40.00 1.1626E-01 5 50.00 4.8769E-02 4 60.00 2.1116E-02 3 70.00 9.9100E-03 2 80.00 5.1613E-03 1 87.50 3.3694E-03 1 92.50 2.5861E-03 2 100.00 1.8725E-03 3 110.00 1.3199E-03 4 120.00 1.0128E-03 5 130.00 8.4029E-04 6 140.00 7.4280E-04 7 150.00 6.8833E-04 8 160.00 6.5898E-04 9 170.00 6.4472E-04 10 180.00 6.3986E-04 Asymptotic AOP values are MUu(inf) = 0.3738 MUd(inf) = 0.8648 MU(inf) = 0.8510 R(inf) = 0.0049 Lu(inf)/Ed(inf) = 0.001078 (1/sr) k(inf) = 0.4221 (1/m) absorp(check) = 0.3592 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 645.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.1863E-01 1.7368E+00 1.8554E+00 4.3539E-02 1.2614E+00 0.3670 0.7263 0.6564 3.4516E-02 1 0.00 0.00 1.4772E-02 1.3663E+00 1.3810E+00 5.7995E-03 1.2237E+00 0.3926 0.8957 0.8819 4.7394E-03 3 7.89 10.00 3.3801E-04 2.1456E-02 2.1794E-02 1.3689E-04 1.8371E-02 0.4050 0.8563 0.8367 7.4514E-03 5 15.78 20.00 2.6539E-05 3.3619E-04 3.6273E-04 1.2499E-05 2.7761E-04 0.4710 0.8258 0.7309 4.5022E-02 7 23.67 30.00 5.4214E-06 1.2388E-05 1.7810E-05 2.6280E-06 8.1552E-06 0.4847 0.6583 0.3103 3.2225E-01 9 31.55 40.00 1.2448E-06 1.9403E-06 3.1852E-06 6.0502E-07 1.0904E-06 0.4860 0.5619 0.1524 5.5488E-01 11 39.44 50.00 2.8902E-07 4.3700E-07 7.2602E-07 1.4058E-07 2.4163E-07 0.4864 0.5529 0.1392 5.8183E-01 K-functions (units of 1/meter) at 645.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.32649 0.38528 0.38465 0.36464 0.40688 0.40708 0.39091 10.000 10.010 10.005 0.34336 0.42257 0.42134 0.32782 0.42406 0.42479 0.30532 20.000 20.010 20.005 0.18242 0.39676 0.38106 0.17480 0.40628 0.41721 0.16686 30.000 30.010 30.005 0.14919 0.24190 0.21367 0.14854 0.27136 0.32981 0.14776 40.000 40.010 40.005 0.14647 0.15481 0.15155 0.14636 0.15950 0.17588 0.14612 50.000 50.010 50.005 0.14580 0.14636 0.14614 0.14572 0.14668 0.14801 0.14556 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 7.31666E-04 6.99727E-03 7.72894E-03 5.80024E-04 0.080373 9 1 10.0 0.0 180.0 5.37195E-02 7.52534E-04 2.00049E-03 2.75302E-03 5.96567E-04 0.037239 9 4 10.0 45.0 135.0 5.90232E-02 7.45925E-04 2.32910E-03 3.07502E-03 5.91328E-04 0.039461 9 7 10.0 90.0 90.0 7.97453E-02 7.36642E-04 4.99681E-03 5.73345E-03 5.83969E-04 0.062660 8 1 20.0 0.0 180.0 4.21959E-02 7.64379E-04 1.03392E-03 1.79830E-03 6.05957E-04 0.024503 8 4 20.0 45.0 135.0 4.69754E-02 7.50923E-04 1.22320E-03 1.97412E-03 5.95290E-04 0.026039 8 7 20.0 90.0 90.0 6.90751E-02 7.37782E-04 2.86741E-03 3.60519E-03 5.84872E-04 0.041511 7 1 30.0 0.0 180.0 3.65861E-02 7.79072E-04 8.80710E-04 1.65978E-03 6.17605E-04 0.024072 7 4 30.0 45.0 135.0 4.05652E-02 7.69779E-04 9.89768E-04 1.75955E-03 6.10238E-04 0.024399 7 7 30.0 90.0 90.0 5.91332E-02 7.49014E-04 1.73360E-03 2.48262E-03 5.93777E-04 0.029317 6 1 40.0 0.0 180.0 3.47272E-02 7.89349E-04 9.79240E-04 1.76859E-03 6.25752E-04 0.028198 6 4 40.0 45.0 135.0 3.79723E-02 7.76700E-04 1.06205E-03 1.83875E-03 6.15724E-04 0.027969 6 7 40.0 90.0 90.0 5.33125E-02 7.54464E-04 1.54045E-03 2.29491E-03 5.98097E-04 0.028895 5 1 50.0 0.0 180.0 3.64103E-02 8.02210E-04 1.54687E-03 2.34908E-03 6.35948E-04 0.042485 5 4 50.0 45.0 135.0 3.88001E-02 7.84181E-04 1.61156E-03 2.39574E-03 6.21655E-04 0.041535 5 7 50.0 90.0 90.0 5.15749E-02 7.64028E-04 2.08344E-03 2.84747E-03 6.05679E-04 0.040396 4 1 60.0 0.0 180.0 4.32196E-02 7.93158E-04 3.60350E-03 4.39666E-03 6.28772E-04 0.083377 4 4 60.0 45.0 135.0 4.41977E-02 7.73747E-04 3.55839E-03 4.33214E-03 6.13383E-04 0.080511 4 7 60.0 90.0 90.0 5.45784E-02 7.65540E-04 4.15539E-03 4.92093E-03 6.06878E-04 0.076136 3 1 70.0 0.0 180.0 5.99675E-02 7.38793E-04 9.95383E-03 1.06926E-02 5.85674E-04 0.165987 3 4 70.0 45.0 135.0 5.82796E-02 7.28853E-04 9.57743E-03 1.03063E-02 5.77794E-04 0.164336 3 7 70.0 90.0 90.0 6.51552E-02 7.26100E-04 1.04150E-02 1.11411E-02 5.75612E-04 0.159849 2 1 80.0 0.0 180.0 1.01886E-01 6.35502E-04 2.47423E-02 2.53778E-02 5.03791E-04 0.242843 2 4 80.0 45.0 135.0 9.43441E-02 6.25998E-04 2.39309E-02 2.45569E-02 4.96256E-04 0.253655 2 7 80.0 90.0 90.0 9.37317E-02 6.28392E-04 2.50621E-02 2.56905E-02 4.98154E-04 0.267382 1 1 87.5 0.0 180.0 1.64730E-01 5.14731E-04 4.36364E-02 4.41511E-02 4.08050E-04 0.264896 1 4 87.5 45.0 135.0 1.48319E-01 4.83506E-04 4.33670E-02 4.38505E-02 3.83297E-04 0.292389 1 7 87.5 90.0 90.0 1.34938E-01 5.41930E-04 4.43833E-02 4.49252E-02 4.29612E-04 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 645.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 7.729E-03 8.706E-02 1.044E-01 8.993E-02 1.351E-01 6.127E-03 5.633E+00 7.317E-04 5.800E-04 1 0.00 0.00 1.358E-03 1.620E-01 3.157E-03 3.970E-03 6.369E-03 1.110E-03 4.272E+00 3 7.89 10.00 3.427E-05 1.383E-02 7.698E-05 1.011E-04 1.643E-04 1.865E-03 3.995E+00 5 15.78 20.00 3.754E-06 3.179E-04 5.112E-06 5.407E-06 6.028E-06 1.352E-02 3.329E+00 7 23.67 30.00 8.129E-07 7.138E-06 9.811E-07 9.843E-07 9.898E-07 9.968E-02 3.233E+00 9 31.55 40.00 1.878E-07 5.019E-07 2.236E-07 2.237E-07 2.237E-07 1.722E-01 3.221E+00 11 39.44 50.00 4.372E-08 9.848E-08 5.182E-08 5.182E-08 5.182E-08 1.809E-01 3.216E+00 Waveband 25 of 30 completed in 9.4 sec. * * * * * Output for wavelength band 26 (650.0 to 660.0 nm; nominal wavelength = 655.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 74.0 m at 655.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 650.0 nm to 660.0 nm: Ed(diffuse) = 3.062E-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 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3710 0.0392 0.0010 0.4112 3 8.343 10.000 0.3710 0.0392 0.0010 0.4112 5 16.686 20.000 0.3710 0.0392 0.0010 0.4112 7 25.029 30.000 0.3710 0.0392 0.0010 0.4112 9 33.372 40.000 0.3710 0.0392 0.0010 0.4112 11 41.715 50.000 0.3710 0.0392 0.0010 0.4112 Scattering Coefficients of Individual Components at 655.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0009 0.4222 0.0000 0.4231 3 8.343 10.000 0.0009 0.4222 0.0000 0.4231 5 16.686 20.000 0.0009 0.4222 0.0000 0.4231 7 25.029 30.000 0.0009 0.4222 0.0000 0.4231 9 33.372 40.000 0.0009 0.4222 0.0000 0.4231 11 41.715 50.000 0.0009 0.4222 0.0000 0.4231 Backscattering Coefficients of Individual Components at 655.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00045 0.00422 0.00000 0.00467 3 8.343 10.000 0.00045 0.00422 0.00000 0.00467 5 16.686 20.000 0.00045 0.00422 0.00000 0.00467 7 25.029 30.000 0.00045 0.00422 0.00000 0.00467 9 33.372 40.000 0.00045 0.00422 0.00000 0.00467 11 41.715 50.000 0.00045 0.00422 0.00000 0.00467 Summary of Inherent Optical Properties at 655.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.4112 0.4231 0.8343 0.5071 0.00467 0.01104 3 8.343 10.000 0.4112 0.4231 0.8343 0.5071 0.00467 0.01104 5 16.686 20.000 0.4112 0.4231 0.8343 0.5071 0.00467 0.01104 7 25.029 30.000 0.4112 0.4231 0.8343 0.5071 0.00467 0.01104 9 33.372 40.000 0.4112 0.4231 0.8343 0.5071 0.00467 0.01104 11 41.715 50.000 0.4112 0.4231 0.8343 0.5071 0.00467 0.01104 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.2258E-01 8 20.00 4.9458E-01 7 30.00 2.3390E-01 6 40.00 9.6739E-02 5 50.00 3.8759E-02 4 60.00 1.6311E-02 3 70.00 7.5524E-03 2 80.00 3.9158E-03 1 87.50 2.5561E-03 1 92.50 1.9663E-03 2 100.00 1.4264E-03 3 110.00 1.0084E-03 4 120.00 7.7698E-04 5 130.00 6.4751E-04 6 140.00 5.7489E-04 7 150.00 5.3473E-04 8 160.00 5.1337E-04 9 170.00 5.0313E-04 10 180.00 4.9965E-04 Asymptotic AOP values are MUu(inf) = 0.3758 MUd(inf) = 0.8750 MU(inf) = 0.8632 R(inf) = 0.0041 Lu(inf)/Ed(inf) = 0.000916 (1/sr) k(inf) = 0.4764 (1/m) absorp(check) = 0.4112 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 655.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.1234E-01 1.6578E+00 1.7701E+00 4.1256E-02 1.2053E+00 0.3673 0.7271 0.6576 3.4228E-02 1 0.00 0.00 1.2354E-02 1.3040E+00 1.3163E+00 4.8596E-03 1.1689E+00 0.3934 0.8965 0.8844 4.1573E-03 3 8.34 10.00 2.5614E-04 1.1604E-02 1.1861E-02 1.1175E-04 9.9728E-03 0.4363 0.8594 0.8314 1.1205E-02 5 16.69 20.00 3.4699E-05 1.4027E-04 1.7497E-04 1.6672E-05 1.0579E-04 0.4805 0.7542 0.5094 1.5759E-01 7 25.03 30.00 7.6816E-06 1.1754E-05 1.9436E-05 3.7160E-06 6.6178E-06 0.4838 0.5630 0.1493 5.6152E-01 9 33.37 40.00 1.7515E-06 2.5142E-06 4.2658E-06 8.4867E-07 1.3660E-06 0.4845 0.5433 0.1213 6.2128E-01 11 41.71 50.00 4.0385E-07 5.7707E-07 9.8092E-07 1.9592E-07 3.1319E-07 0.4851 0.5427 0.1196 6.2556E-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 0.37994 0.44378 0.44319 0.41411 0.46434 0.46455 0.43593 10.000 10.010 10.005 0.29020 0.47521 0.47121 0.26995 0.47797 0.48033 0.24661 20.000 20.010 20.005 0.15765 0.36564 0.32435 0.15575 0.39813 0.44354 0.15357 30.000 30.010 30.005 0.14883 0.16874 0.16087 0.14864 0.18024 0.22073 0.14818 40.000 40.010 40.005 0.14740 0.14806 0.14779 0.14725 0.14853 0.15063 0.14689 50.000 50.010 50.005 0.14623 0.14638 0.14632 0.14611 0.14638 0.14683 0.14582 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 6.17996E-04 6.68238E-03 7.30038E-03 5.12716E-04 0.080872 9 1 10.0 0.0 180.0 5.09854E-02 6.35446E-04 1.90421E-03 2.53965E-03 5.27193E-04 0.037348 9 4 10.0 45.0 135.0 5.60192E-02 6.29897E-04 2.21768E-03 2.84758E-03 5.22590E-04 0.039588 9 7 10.0 90.0 90.0 7.56866E-02 6.22102E-04 4.76801E-03 5.39011E-03 5.16123E-04 0.062997 8 1 20.0 0.0 180.0 4.00483E-02 6.45205E-04 9.81576E-04 1.62678E-03 5.35290E-04 0.024510 8 4 20.0 45.0 135.0 4.45846E-02 6.33900E-04 1.16167E-03 1.79557E-03 5.25911E-04 0.026055 8 7 20.0 90.0 90.0 6.55595E-02 6.22845E-04 2.73118E-03 3.35402E-03 5.16739E-04 0.041660 7 1 30.0 0.0 180.0 3.47241E-02 6.57310E-04 8.35885E-04 1.49320E-03 5.45333E-04 0.024072 7 4 30.0 45.0 135.0 3.85009E-02 6.49537E-04 9.39428E-04 1.58896E-03 5.38884E-04 0.024400 7 7 30.0 90.0 90.0 5.61222E-02 6.32016E-04 1.64728E-03 2.27930E-03 5.24347E-04 0.029352 6 1 40.0 0.0 180.0 3.29597E-02 6.65504E-04 9.29401E-04 1.59491E-03 5.52131E-04 0.028198 6 4 40.0 45.0 135.0 3.60397E-02 6.54897E-04 1.00800E-03 1.66290E-03 5.43331E-04 0.027969 6 7 40.0 90.0 90.0 5.05991E-02 6.36016E-04 1.46217E-03 2.09819E-03 5.27667E-04 0.028897 5 1 50.0 0.0 180.0 3.45572E-02 6.75864E-04 1.46814E-03 2.14401E-03 5.60726E-04 0.042485 5 4 50.0 45.0 135.0 3.68253E-02 6.60694E-04 1.52954E-03 2.19023E-03 5.48140E-04 0.041535 5 7 50.0 90.0 90.0 4.89500E-02 6.43380E-04 1.97741E-03 2.62079E-03 5.33776E-04 0.040396 4 1 60.0 0.0 180.0 4.10199E-02 6.67734E-04 3.42010E-03 4.08783E-03 5.53981E-04 0.083377 4 4 60.0 45.0 135.0 4.19482E-02 6.51362E-04 3.37728E-03 4.02865E-03 5.40398E-04 0.080511 4 7 60.0 90.0 90.0 5.18006E-02 6.43895E-04 3.94390E-03 4.58780E-03 5.34203E-04 0.076136 3 1 70.0 0.0 180.0 5.69154E-02 6.21413E-04 9.44722E-03 1.00686E-02 5.15551E-04 0.165987 3 4 70.0 45.0 135.0 5.53134E-02 6.12952E-04 9.08998E-03 9.70293E-03 5.08531E-04 0.164336 3 7 70.0 90.0 90.0 6.18391E-02 6.09822E-04 9.88492E-03 1.04947E-02 5.05935E-04 0.159849 2 1 80.0 0.0 180.0 9.67001E-02 5.34081E-04 2.34830E-02 2.40171E-02 4.43097E-04 0.242843 2 4 80.0 45.0 135.0 8.95424E-02 5.25939E-04 2.27129E-02 2.32388E-02 4.36342E-04 0.253655 2 7 80.0 90.0 90.0 8.89611E-02 5.27043E-04 2.37866E-02 2.43136E-02 4.37258E-04 0.267382 1 1 87.5 0.0 180.0 1.56346E-01 4.32214E-04 4.14155E-02 4.18477E-02 3.58583E-04 0.264896 1 4 87.5 45.0 135.0 1.40771E-01 4.05832E-04 4.11598E-02 4.15656E-02 3.36695E-04 0.292389 1 7 87.5 90.0 90.0 1.28070E-01 4.53903E-04 4.21243E-02 4.25782E-02 3.76578E-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 7.300E-03 8.263E-02 9.910E-02 8.532E-02 1.282E-01 6.057E-03 5.651E+00 6.180E-04 5.127E-04 1 0.00 0.00 1.147E-03 1.537E-01 2.667E-03 3.347E-03 5.361E-03 9.811E-04 4.237E+00 3 8.34 10.00 3.052E-05 7.710E-03 5.348E-05 6.436E-05 9.270E-05 3.060E-03 3.662E+00 5 16.69 20.00 5.035E-06 1.112E-04 6.343E-06 6.418E-06 6.573E-06 4.759E-02 3.311E+00 7 25.03 30.00 1.132E-06 3.313E-06 1.383E-06 1.383E-06 1.384E-06 1.710E-01 3.283E+00 9 33.37 40.00 2.595E-07 5.341E-07 3.141E-07 3.141E-07 3.141E-07 1.900E-01 3.271E+00 11 41.71 50.00 6.009E-08 1.210E-07 7.221E-08 7.221E-08 7.221E-08 1.919E-01 3.260E+00 Waveband 26 of 30 completed in 9.8 sec. * * * * * Output for wavelength band 27 (660.0 to 670.0 nm; nominal wavelength = 665.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 72.2 m at 665.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 660.0 nm to 670.0 nm: Ed(diffuse) = 3.168E-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 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.4290 0.0546 0.0009 0.4845 3 9.012 10.000 0.4290 0.0546 0.0009 0.4845 5 18.024 20.000 0.4290 0.0546 0.0009 0.4845 7 27.037 30.000 0.4290 0.0546 0.0009 0.4845 9 36.049 40.000 0.4290 0.0546 0.0009 0.4845 11 45.061 50.000 0.4290 0.0546 0.0009 0.4845 Scattering Coefficients of Individual Components at 665.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0008 0.4158 0.0000 0.4167 3 9.012 10.000 0.0008 0.4158 0.0000 0.4167 5 18.024 20.000 0.0008 0.4158 0.0000 0.4167 7 27.037 30.000 0.0008 0.4158 0.0000 0.4167 9 36.049 40.000 0.0008 0.4158 0.0000 0.4167 11 45.061 50.000 0.0008 0.4158 0.0000 0.4167 Backscattering Coefficients of Individual Components at 665.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00042 0.00416 0.00000 0.00458 3 9.012 10.000 0.00042 0.00416 0.00000 0.00458 5 18.024 20.000 0.00042 0.00416 0.00000 0.00458 7 27.037 30.000 0.00042 0.00416 0.00000 0.00458 9 36.049 40.000 0.00042 0.00416 0.00000 0.00458 11 45.061 50.000 0.00042 0.00416 0.00000 0.00458 Summary of Inherent Optical Properties at 665.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.4845 0.4167 0.9012 0.4624 0.00458 0.01099 3 9.012 10.000 0.4845 0.4167 0.9012 0.4624 0.00458 0.01099 5 18.024 20.000 0.4845 0.4167 0.9012 0.4624 0.00458 0.01099 7 27.037 30.000 0.4845 0.4167 0.9012 0.4624 0.00458 0.01099 9 36.049 40.000 0.4845 0.4167 0.9012 0.4624 0.00458 0.01099 11 45.061 50.000 0.4845 0.4167 0.9012 0.4624 0.00458 0.01099 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.0215E-01 8 20.00 4.5370E-01 7 30.00 1.9869E-01 6 40.00 7.6488E-02 5 50.00 2.9079E-02 4 60.00 1.1883E-02 3 70.00 5.4385E-03 2 80.00 2.8130E-03 1 87.50 1.8384E-03 1 92.50 1.4186E-03 2 100.00 1.0320E-03 3 110.00 7.3233E-04 4 120.00 5.6702E-04 5 130.00 4.7503E-04 6 140.00 4.2388E-04 7 150.00 3.9596E-04 8 160.00 3.8137E-04 9 170.00 3.7448E-04 10 180.00 3.7216E-04 Asymptotic AOP values are MUu(inf) = 0.3783 MUd(inf) = 0.8863 MU(inf) = 0.8765 R(inf) = 0.0034 Lu(inf)/Ed(inf) = 0.000757 (1/sr) k(inf) = 0.5528 (1/m) absorp(check) = 0.4846 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 665.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.1659E-01 1.7242E+00 1.8408E+00 4.2952E-02 1.2549E+00 0.3684 0.7278 0.6584 3.4229E-02 1 0.00 0.00 1.2570E-02 1.3571E+00 1.3697E+00 5.0890E-03 1.2170E+00 0.4049 0.8967 0.8848 4.1817E-03 3 9.01 10.00 5.8093E-04 5.9838E-03 6.5648E-03 2.7427E-04 4.9740E-03 0.4721 0.8312 0.7159 5.5141E-02 5 18.02 20.00 1.1638E-04 1.7812E-04 2.9450E-04 5.5827E-05 1.0123E-04 0.4797 0.5683 0.1542 5.5151E-01 7 27.04 30.00 2.4916E-05 3.4153E-05 5.9069E-05 1.1967E-05 1.8176E-05 0.4803 0.5322 0.1051 6.5840E-01 9 36.05 40.00 5.4118E-06 7.3825E-06 1.2794E-05 2.6021E-06 3.9239E-06 0.4808 0.5315 0.1033 6.6313E-01 11 45.06 50.00 1.1955E-06 1.6253E-06 2.8208E-06 5.7538E-07 8.6375E-07 0.4813 0.5314 0.1022 6.6614E-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 0.41857 0.52591 0.52493 0.43530 0.54500 0.54546 0.43894 10.000 10.010 10.005 0.18491 0.50996 0.48115 0.17896 0.52869 0.54914 0.17325 20.000 20.010 20.005 0.15596 0.19570 0.17999 0.15574 0.21954 0.29805 0.15533 30.000 30.010 30.005 0.15386 0.15386 0.15386 0.15375 0.15446 0.15581 0.15346 40.000 40.010 40.005 0.15201 0.15197 0.15199 0.15187 0.15202 0.15230 0.15160 50.000 50.010 50.005 0.15018 0.15043 0.15033 0.15010 0.15046 0.15118 0.14986 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 6.74712E-04 6.95328E-03 7.62799E-03 5.37682E-04 0.081350 9 1 10.0 0.0 180.0 5.27408E-02 6.91197E-04 1.97525E-03 2.66645E-03 5.50819E-04 0.037452 9 4 10.0 45.0 135.0 5.79479E-02 6.85946E-04 2.30109E-03 2.98703E-03 5.46635E-04 0.039710 9 7 10.0 90.0 90.0 7.82924E-02 6.79134E-04 4.95743E-03 5.63656E-03 5.41206E-04 0.063319 8 1 20.0 0.0 180.0 4.14272E-02 6.99992E-04 1.01565E-03 1.71564E-03 5.57828E-04 0.024516 8 4 20.0 45.0 135.0 4.61196E-02 6.89057E-04 1.20238E-03 1.89144E-03 5.49113E-04 0.026071 8 7 20.0 90.0 90.0 6.78167E-02 6.79627E-04 2.83482E-03 3.51444E-03 5.41598E-04 0.041801 7 1 30.0 0.0 180.0 3.59196E-02 7.11365E-04 8.64664E-04 1.57603E-03 5.66891E-04 0.024072 7 4 30.0 45.0 135.0 3.98266E-02 7.04782E-04 9.71806E-04 1.67659E-03 5.61645E-04 0.024401 7 7 30.0 90.0 90.0 5.80532E-02 6.89042E-04 1.70588E-03 2.39493E-03 5.49102E-04 0.029385 6 1 40.0 0.0 180.0 3.40945E-02 7.18078E-04 9.61399E-04 1.67948E-03 5.72241E-04 0.028198 6 4 40.0 45.0 135.0 3.72805E-02 7.08883E-04 1.04270E-03 1.75159E-03 5.64913E-04 0.027969 6 7 40.0 90.0 90.0 5.23412E-02 6.91906E-04 1.51264E-03 2.20454E-03 5.51384E-04 0.028900 5 1 50.0 0.0 180.0 3.57469E-02 7.27402E-04 1.51869E-03 2.24609E-03 5.79671E-04 0.042485 5 4 50.0 45.0 135.0 3.80932E-02 7.13409E-04 1.58220E-03 2.29561E-03 5.68520E-04 0.041535 5 7 50.0 90.0 90.0 5.06353E-02 6.97508E-04 2.04549E-03 2.74299E-03 5.55848E-04 0.040396 4 1 60.0 0.0 180.0 4.24322E-02 7.16759E-04 3.53785E-03 4.25461E-03 5.71189E-04 0.083377 4 4 60.0 45.0 135.0 4.33925E-02 7.01429E-04 3.49356E-03 4.19499E-03 5.58972E-04 0.080511 4 7 60.0 90.0 90.0 5.35840E-02 6.95146E-04 4.07969E-03 4.77483E-03 5.53966E-04 0.076136 3 1 70.0 0.0 180.0 5.88749E-02 6.64895E-04 9.77248E-03 1.04374E-02 5.29859E-04 0.165987 3 4 70.0 45.0 135.0 5.72178E-02 6.57626E-04 9.40294E-03 1.00606E-02 5.24066E-04 0.164336 3 7 70.0 90.0 90.0 6.39682E-02 6.54167E-04 1.02252E-02 1.08794E-02 5.21309E-04 0.159849 2 1 80.0 0.0 180.0 1.00029E-01 5.69582E-04 2.42915E-02 2.48611E-02 4.53903E-04 0.242843 2 4 80.0 45.0 135.0 9.26253E-02 5.62060E-04 2.34949E-02 2.40570E-02 4.47909E-04 0.253655 2 7 80.0 90.0 90.0 9.20240E-02 5.61700E-04 2.46055E-02 2.51672E-02 4.47622E-04 0.267382 1 1 87.5 0.0 180.0 1.61729E-01 4.59224E-04 4.28414E-02 4.33006E-02 3.65958E-04 0.264896 1 4 87.5 45.0 135.0 1.45617E-01 4.31775E-04 4.25769E-02 4.30087E-02 3.44084E-04 0.292389 1 7 87.5 90.0 90.0 1.32480E-01 4.80089E-04 4.35746E-02 4.40547E-02 3.82586E-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 7.628E-03 8.547E-02 1.025E-01 8.827E-02 1.326E-01 6.079E-03 5.631E+00 6.747E-04 5.377E-04 1 0.00 0.00 1.252E-03 1.590E-01 2.724E-03 3.331E-03 5.127E-03 1.029E-03 4.064E+00 3 9.01 10.00 7.980E-05 3.862E-03 1.082E-04 1.123E-04 1.228E-04 1.604E-02 3.437E+00 5 18.02 20.00 1.649E-05 5.385E-05 2.114E-05 2.115E-05 2.117E-05 1.629E-01 3.385E+00 7 27.04 30.00 3.545E-06 6.728E-06 4.513E-06 4.513E-06 4.513E-06 1.950E-01 3.376E+00 9 36.05 40.00 7.727E-07 1.435E-06 9.777E-07 9.777E-07 9.777E-07 1.969E-01 3.367E+00 11 45.06 50.00 1.713E-07 3.158E-07 2.154E-07 2.154E-07 2.154E-07 1.983E-01 3.359E+00 Waveband 27 of 30 completed in 10.9 sec. * * * * * Output for wavelength band 28 (670.0 to 680.0 nm; nominal wavelength = 675.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 71.9 m at 675.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 670.0 nm to 680.0 nm: Ed(diffuse) = 3.090E-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 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.4480 0.0557 0.0008 0.5044 3 9.149 10.000 0.4480 0.0557 0.0008 0.5044 5 18.298 20.000 0.4480 0.0557 0.0008 0.5044 7 27.448 30.000 0.4480 0.0557 0.0008 0.5044 9 36.597 40.000 0.4480 0.0557 0.0008 0.5044 11 45.746 50.000 0.4480 0.0557 0.0008 0.5044 Scattering Coefficients of Individual Components at 675.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0008 0.4097 0.0000 0.4105 3 9.149 10.000 0.0008 0.4097 0.0000 0.4105 5 18.298 20.000 0.0008 0.4097 0.0000 0.4105 7 27.448 30.000 0.0008 0.4097 0.0000 0.4105 9 36.597 40.000 0.0008 0.4097 0.0000 0.4105 11 45.746 50.000 0.0008 0.4097 0.0000 0.4105 Backscattering Coefficients of Individual Components at 675.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00040 0.00410 0.00000 0.00449 3 9.149 10.000 0.00040 0.00410 0.00000 0.00449 5 18.298 20.000 0.00040 0.00410 0.00000 0.00449 7 27.448 30.000 0.00040 0.00410 0.00000 0.00449 9 36.597 40.000 0.00040 0.00410 0.00000 0.00449 11 45.746 50.000 0.00040 0.00410 0.00000 0.00449 Summary of Inherent Optical Properties at 675.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.5044 0.4105 0.9149 0.4486 0.00449 0.01094 3 9.149 10.000 0.5044 0.4105 0.9149 0.4486 0.00449 0.01094 5 18.298 20.000 0.5044 0.4105 0.9149 0.4486 0.00449 0.01094 7 27.448 30.000 0.5044 0.4105 0.9149 0.4486 0.00449 0.01094 9 36.597 40.000 0.5044 0.4105 0.9149 0.4486 0.00449 0.01094 11 45.746 50.000 0.5044 0.4105 0.9149 0.4486 0.00449 0.01094 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 7.9541E-01 8 20.00 4.4086E-01 7 30.00 1.8833E-01 6 40.00 7.0890E-02 5 50.00 2.6532E-02 4 60.00 1.0755E-02 3 70.00 4.9076E-03 2 80.00 2.5372E-03 1 87.50 1.6586E-03 1 92.50 1.2809E-03 2 100.00 9.3229E-04 3 110.00 6.6204E-04 4 120.00 5.1310E-04 5 130.00 4.3033E-04 6 140.00 3.8443E-04 7 150.00 3.5947E-04 8 160.00 3.4648E-04 9 170.00 3.4039E-04 10 180.00 3.3833E-04 Asymptotic AOP values are MUu(inf) = 0.3788 MUd(inf) = 0.8897 MU(inf) = 0.8805 R(inf) = 0.0031 Lu(inf)/Ed(inf) = 0.000711 (1/sr) k(inf) = 0.5730 (1/m) absorp(check) = 0.5045 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 675.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.1606E-01 1.6906E+00 1.8066E+00 4.3203E-02 1.2316E+00 0.3722 0.7285 0.6578 3.5079E-02 1 0.00 0.00 1.7022E-02 1.3355E+00 1.3525E+00 7.2716E-03 1.1956E+00 0.4272 0.8953 0.8787 6.0818E-03 3 9.15 10.00 1.6630E-03 6.3303E-03 7.9933E-03 7.9329E-04 4.7809E-03 0.4770 0.7552 0.4989 1.6593E-01 5 18.30 20.00 3.4605E-04 4.8056E-04 8.2661E-04 1.6578E-04 2.5837E-04 0.4790 0.5377 0.1120 6.4161E-01 7 27.45 30.00 7.3065E-05 9.8970E-05 1.7203E-04 3.5024E-05 5.2369E-05 0.4794 0.5291 0.1008 6.6880E-01 9 36.60 40.00 1.5643E-05 2.1122E-05 3.6765E-05 7.5038E-06 1.1170E-05 0.4797 0.5289 0.0997 6.7176E-01 11 45.75 50.00 3.4084E-06 4.5864E-06 7.9948E-06 1.6360E-06 2.4244E-06 0.4800 0.5286 0.0986 6.7483E-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 0.36188 0.54718 0.54485 0.35815 0.56535 0.56662 0.34666 10.000 10.010 10.005 0.16571 0.43046 0.37532 0.16402 0.47651 0.53879 0.16226 20.000 20.010 20.005 0.15703 0.16407 0.16112 0.15697 0.17111 0.19645 0.15676 30.000 30.010 30.005 0.15536 0.15464 0.15495 0.15525 0.15482 0.15393 0.15508 40.000 40.010 40.005 0.15331 0.15337 0.15335 0.15331 0.15345 0.15373 0.15316 50.000 50.010 50.005 0.15154 0.15178 0.15168 0.15148 0.15184 0.15259 0.15134 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 1.02575E-03 6.82092E-03 7.84667E-03 8.32873E-04 0.081808 9 1 10.0 0.0 180.0 5.14469E-02 1.04439E-03 1.93192E-03 2.97631E-03 8.48009E-04 0.037552 9 4 10.0 45.0 135.0 5.65262E-02 1.03848E-03 2.25124E-03 3.28972E-03 8.43215E-04 0.039826 9 7 10.0 90.0 90.0 7.63717E-02 1.03258E-03 4.85946E-03 5.89204E-03 8.38423E-04 0.063629 8 1 20.0 0.0 180.0 4.04108E-02 1.05345E-03 9.90991E-04 2.04444E-03 8.55370E-04 0.024523 8 4 20.0 45.0 135.0 4.49881E-02 1.04045E-03 1.17356E-03 2.21401E-03 8.44811E-04 0.026086 8 7 20.0 90.0 90.0 6.61529E-02 1.03311E-03 2.77426E-03 3.80737E-03 8.38852E-04 0.041937 7 1 30.0 0.0 180.0 3.50384E-02 1.06665E-03 8.43451E-04 1.91010E-03 8.66088E-04 0.024072 7 4 30.0 45.0 135.0 3.88497E-02 1.06157E-03 9.47996E-04 2.00957E-03 8.61962E-04 0.024402 7 7 30.0 90.0 90.0 5.66278E-02 1.04675E-03 1.66580E-03 2.71255E-03 8.49925E-04 0.029417 6 1 40.0 0.0 180.0 3.32580E-02 1.07227E-03 9.37813E-04 2.01008E-03 8.70650E-04 0.028198 6 4 40.0 45.0 135.0 3.63659E-02 1.06451E-03 1.01712E-03 2.08163E-03 8.64349E-04 0.027969 6 7 40.0 90.0 90.0 5.10571E-02 1.04882E-03 1.47564E-03 2.52446E-03 8.51607E-04 0.028902 5 1 50.0 0.0 180.0 3.48699E-02 1.08259E-03 1.48143E-03 2.56403E-03 8.79033E-04 0.042485 5 4 50.0 45.0 135.0 3.71586E-02 1.06809E-03 1.54338E-03 2.61147E-03 8.67258E-04 0.041535 5 7 50.0 90.0 90.0 4.93930E-02 1.05289E-03 1.99530E-03 3.04819E-03 8.54911E-04 0.040396 4 1 60.0 0.0 180.0 4.13912E-02 1.06311E-03 3.45105E-03 4.51417E-03 8.63216E-04 0.083377 4 4 60.0 45.0 135.0 4.23279E-02 1.04661E-03 3.40785E-03 4.45446E-03 8.49817E-04 0.080511 4 7 60.0 90.0 90.0 5.22694E-02 1.04370E-03 3.97960E-03 5.02329E-03 8.47448E-04 0.076136 3 1 70.0 0.0 180.0 5.74306E-02 9.82041E-04 9.53273E-03 1.05148E-02 7.97387E-04 0.165987 3 4 70.0 45.0 135.0 5.58141E-02 9.76506E-04 9.17225E-03 1.01488E-02 7.92892E-04 0.164336 3 7 70.0 90.0 90.0 6.23988E-02 9.73510E-04 9.97439E-03 1.09479E-02 7.90460E-04 0.159849 2 1 80.0 0.0 180.0 9.75754E-02 8.37552E-04 2.36955E-02 2.45331E-02 6.80066E-04 0.242843 2 4 80.0 45.0 135.0 9.03529E-02 8.30154E-04 2.29185E-02 2.37486E-02 6.74059E-04 0.253655 2 7 80.0 90.0 90.0 8.97663E-02 8.28094E-04 2.40019E-02 2.48300E-02 6.72387E-04 0.267382 1 1 87.5 0.0 180.0 1.57761E-01 6.71727E-04 4.17903E-02 4.24621E-02 5.45422E-04 0.264896 1 4 87.5 45.0 135.0 1.42045E-01 6.33674E-04 4.15323E-02 4.21660E-02 5.14524E-04 0.292389 1 7 87.5 90.0 90.0 1.29229E-01 6.99670E-04 4.25056E-02 4.32053E-02 5.68111E-04 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 675.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 7.847E-03 8.338E-02 1.001E-01 8.622E-02 1.295E-01 6.371E-03 5.506E+00 1.026E-03 8.329E-04 1 0.00 0.00 1.904E-03 1.551E-01 3.627E-03 4.205E-03 5.877E-03 1.592E-03 3.820E+00 3 9.15 10.00 2.319E-04 3.371E-03 3.043E-04 3.073E-04 3.151E-04 4.851E-02 3.420E+00 5 18.30 20.00 4.867E-05 1.043E-04 6.290E-05 6.291E-05 6.293E-05 1.884E-01 3.406E+00 7 27.45 30.00 1.030E-05 1.895E-05 1.326E-05 1.326E-05 1.326E-05 1.966E-01 3.402E+00 9 36.60 40.00 2.209E-06 4.030E-06 2.834E-06 2.834E-06 2.834E-06 1.978E-01 3.397E+00 11 45.75 50.00 4.824E-07 8.736E-07 6.164E-07 6.164E-07 6.164E-07 1.990E-01 3.392E+00 Waveband 28 of 30 completed in 11.0 sec. * * * * * Output for wavelength band 29 (680.0 to 690.0 nm; nominal wavelength = 685.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 71.4 m at 685.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 680.0 nm to 690.0 nm: Ed(diffuse) = 2.816E-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 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.4860 0.0433 0.0007 0.5300 3 9.344 10.000 0.4860 0.0433 0.0007 0.5300 5 18.688 20.000 0.4860 0.0433 0.0007 0.5300 7 28.033 30.000 0.4860 0.0433 0.0007 0.5300 9 37.377 40.000 0.4860 0.0433 0.0007 0.5300 11 46.721 50.000 0.4860 0.0433 0.0007 0.5300 Scattering Coefficients of Individual Components at 685.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0007 0.4037 0.0000 0.4044 3 9.344 10.000 0.0007 0.4037 0.0000 0.4044 5 18.688 20.000 0.0007 0.4037 0.0000 0.4044 7 28.033 30.000 0.0007 0.4037 0.0000 0.4044 9 37.377 40.000 0.0007 0.4037 0.0000 0.4044 11 46.721 50.000 0.0007 0.4037 0.0000 0.4044 Backscattering Coefficients of Individual Components at 685.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00037 0.00404 0.00000 0.00441 3 9.344 10.000 0.00037 0.00404 0.00000 0.00441 5 18.688 20.000 0.00037 0.00404 0.00000 0.00441 7 28.033 30.000 0.00037 0.00404 0.00000 0.00441 9 37.377 40.000 0.00037 0.00404 0.00000 0.00441 11 46.721 50.000 0.00037 0.00404 0.00000 0.00441 Summary of Inherent Optical Properties at 685.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.5300 0.4044 0.9344 0.4328 0.00441 0.01090 3 9.344 10.000 0.5300 0.4044 0.9344 0.4328 0.00441 0.01090 5 18.688 20.000 0.5300 0.4044 0.9344 0.4328 0.00441 0.01090 7 28.033 30.000 0.5300 0.4044 0.9344 0.4328 0.00441 0.01090 9 37.377 40.000 0.5300 0.4044 0.9344 0.4328 0.00441 0.01090 11 46.721 50.000 0.5300 0.4044 0.9344 0.4328 0.00441 0.01090 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 7.8729E-01 8 20.00 4.2584E-01 7 30.00 1.7663E-01 6 40.00 6.4772E-02 5 50.00 2.3819E-02 4 60.00 9.5706E-03 3 70.00 4.3550E-03 2 80.00 2.2511E-03 1 87.50 1.4724E-03 1 92.50 1.1382E-03 2 100.00 8.2903E-04 3 110.00 5.8926E-04 4 120.00 4.5727E-04 5 130.00 3.8404E-04 6 140.00 3.4355E-04 7 150.00 3.2163E-04 8 160.00 3.1029E-04 9 170.00 3.0500E-04 10 180.00 3.0323E-04 Asymptotic AOP values are MUu(inf) = 0.3795 MUd(inf) = 0.8934 MU(inf) = 0.8849 R(inf) = 0.0029 Lu(inf)/Ed(inf) = 0.000663 (1/sr) k(inf) = 0.5990 (1/m) absorp(check) = 0.5300 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 685.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.0760E-01 1.5481E+00 1.6557E+00 4.0400E-02 1.1288E+00 0.3755 0.7291 0.6574 3.5790E-02 1 0.00 0.00 1.9181E-02 1.2267E+00 1.2459E+00 8.4152E-03 1.0968E+00 0.4387 0.8941 0.8736 7.6724E-03 3 9.34 10.00 2.3228E-03 5.9152E-03 8.2380E-03 1.1119E-03 4.1216E-03 0.4787 0.6968 0.3653 2.6978E-01 5 18.69 20.00 4.8667E-04 6.5592E-04 1.1426E-03 2.3347E-04 3.4799E-04 0.4797 0.5305 0.1002 6.7089E-01 7 28.03 30.00 1.0253E-04 1.3688E-04 2.3940E-04 4.9209E-05 7.2181E-05 0.4800 0.5273 0.0960 6.8175E-01 9 37.38 40.00 2.1899E-05 2.9154E-05 5.1053E-05 1.0517E-05 1.5368E-05 0.4803 0.5271 0.0950 6.8437E-01 11 46.72 50.00 4.7606E-06 6.3170E-06 1.1078E-05 2.2876E-06 3.3282E-06 0.4805 0.5269 0.0939 6.8735E-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 0.34031 0.57473 0.57112 0.32901 0.59200 0.59403 0.31372 10.000 10.010 10.005 0.16206 0.36960 0.31104 0.16126 0.42875 0.52775 0.16024 20.000 20.010 20.005 0.15722 0.15796 0.15764 0.15717 0.16100 0.16879 0.15700 30.000 30.010 30.005 0.15558 0.15474 0.15510 0.15550 0.15485 0.15347 0.15535 40.000 40.010 40.005 0.15362 0.15359 0.15360 0.15356 0.15366 0.15389 0.15342 50.000 50.010 50.005 0.15176 0.15202 0.15191 0.15171 0.15205 0.15281 0.15159 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 1.22145E-03 6.24883E-03 7.47028E-03 1.08208E-03 0.082241 9 1 10.0 0.0 180.0 4.68840E-02 1.24030E-03 1.76499E-03 3.00529E-03 1.09878E-03 0.037646 9 4 10.0 45.0 135.0 5.15128E-02 1.23435E-03 2.05725E-03 3.29159E-03 1.09350E-03 0.039937 9 7 10.0 90.0 90.0 6.95981E-02 1.22962E-03 4.44880E-03 5.67843E-03 1.08932E-03 0.063921 8 1 20.0 0.0 180.0 3.68267E-02 1.24882E-03 9.03321E-04 2.15214E-03 1.10633E-03 0.024529 8 4 20.0 45.0 135.0 4.09980E-02 1.23522E-03 1.07005E-03 2.30527E-03 1.09427E-03 0.026100 8 7 20.0 90.0 90.0 6.02856E-02 1.23010E-03 2.53594E-03 3.76604E-03 1.08974E-03 0.042065 7 1 30.0 0.0 180.0 3.19307E-02 1.26237E-03 7.68643E-04 2.03101E-03 1.11833E-03 0.024072 7 4 30.0 45.0 135.0 3.54042E-02 1.25887E-03 8.63944E-04 2.12282E-03 1.11523E-03 0.024402 7 7 30.0 90.0 90.0 5.16043E-02 1.24593E-03 1.51958E-03 2.76551E-03 1.10377E-03 0.029447 6 1 40.0 0.0 180.0 3.03083E-02 1.26660E-03 8.54636E-04 2.12124E-03 1.12208E-03 0.028198 6 4 40.0 45.0 135.0 3.31405E-02 1.26058E-03 9.26912E-04 2.18749E-03 1.11675E-03 0.027969 6 7 40.0 90.0 90.0 4.65287E-02 1.24713E-03 1.34486E-03 2.59199E-03 1.10483E-03 0.028904 5 1 50.0 0.0 180.0 3.17773E-02 1.27683E-03 1.35004E-03 2.62687E-03 1.13114E-03 0.042485 5 4 50.0 45.0 135.0 3.38629E-02 1.26307E-03 1.40649E-03 2.66956E-03 1.11895E-03 0.041535 5 7 50.0 90.0 90.0 4.50123E-02 1.24959E-03 1.81834E-03 3.06792E-03 1.10701E-03 0.040396 4 1 60.0 0.0 180.0 3.77201E-02 1.25186E-03 3.14497E-03 4.39683E-03 1.10902E-03 0.083377 4 4 60.0 45.0 135.0 3.85738E-02 1.23573E-03 3.10560E-03 4.34134E-03 1.09473E-03 0.080511 4 7 60.0 90.0 90.0 4.76335E-02 1.23567E-03 3.62664E-03 4.86231E-03 1.09468E-03 0.076136 3 1 70.0 0.0 180.0 5.23369E-02 1.15414E-03 8.68725E-03 9.84139E-03 1.02245E-03 0.165987 3 4 70.0 45.0 135.0 5.08638E-02 1.15040E-03 8.35874E-03 9.50914E-03 1.01913E-03 0.164336 3 7 70.0 90.0 90.0 5.68645E-02 1.14797E-03 9.08974E-03 1.02377E-02 1.01698E-03 0.159849 2 1 80.0 0.0 180.0 8.89212E-02 9.82312E-04 2.15939E-02 2.25762E-02 8.70228E-04 0.242843 2 4 80.0 45.0 135.0 8.23393E-02 9.75586E-04 2.08858E-02 2.18614E-02 8.64269E-04 0.253655 2 7 80.0 90.0 90.0 8.18047E-02 9.72314E-04 2.18731E-02 2.28454E-02 8.61371E-04 0.267382 1 1 87.5 0.0 180.0 1.43769E-01 7.85908E-04 3.80839E-02 3.88698E-02 6.96234E-04 0.264896 1 4 87.5 45.0 135.0 1.29447E-01 7.42507E-04 3.78487E-02 3.85912E-02 6.57785E-04 0.292389 1 7 87.5 90.0 90.0 1.17768E-01 8.17166E-04 3.87357E-02 3.95529E-02 7.23925E-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 7.470E-03 7.598E-02 9.132E-02 7.866E-02 1.181E-01 6.618E-03 5.408E+00 1.221E-03 1.082E-03 1 0.00 0.00 2.267E-03 1.414E-01 4.055E-03 4.562E-03 6.006E-03 2.067E-03 3.712E+00 3 9.34 10.00 3.264E-04 2.642E-03 4.216E-04 4.235E-04 4.285E-04 7.918E-02 3.407E+00 5 18.69 20.00 6.867E-05 1.306E-04 8.804E-05 8.805E-05 8.805E-05 1.973E-01 3.400E+00 7 28.03 30.00 1.449E-05 2.587E-05 1.852E-05 1.852E-05 1.852E-05 2.008E-01 3.396E+00 9 37.38 40.00 3.101E-06 5.500E-06 3.950E-06 3.950E-06 3.950E-06 2.018E-01 3.392E+00 11 46.72 50.00 6.753E-07 1.190E-06 8.573E-07 8.573E-07 8.573E-07 2.029E-01 3.388E+00 Waveband 29 of 30 completed in 11.0 sec. * * * * * Output for wavelength band 30 (690.0 to 700.0 nm; nominal wavelength = 695.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 70.3 m at 695.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 690.0 nm to 700.0 nm: Ed(diffuse) = 2.700E-01 Ed(direct) = 8.188E-01 Ed(total) = 1.089E+00 Absorption Coefficients of Individual Components at 695.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.5590 0.0268 0.0006 0.5864 3 9.850 10.000 0.5590 0.0268 0.0006 0.5864 5 19.700 20.000 0.5590 0.0268 0.0006 0.5864 7 29.549 30.000 0.5590 0.0268 0.0006 0.5864 9 39.399 40.000 0.5590 0.0268 0.0006 0.5864 11 49.249 50.000 0.5590 0.0268 0.0006 0.5864 Scattering Coefficients of Individual Components at 695.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0007 0.3979 0.0000 0.3986 3 9.850 10.000 0.0007 0.3979 0.0000 0.3986 5 19.700 20.000 0.0007 0.3979 0.0000 0.3986 7 29.549 30.000 0.0007 0.3979 0.0000 0.3986 9 39.399 40.000 0.0007 0.3979 0.0000 0.3986 11 49.249 50.000 0.0007 0.3979 0.0000 0.3986 Backscattering Coefficients of Individual Components at 695.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00035 0.00398 0.00000 0.00433 3 9.850 10.000 0.00035 0.00398 0.00000 0.00433 5 19.700 20.000 0.00035 0.00398 0.00000 0.00433 7 29.549 30.000 0.00035 0.00398 0.00000 0.00433 9 39.399 40.000 0.00035 0.00398 0.00000 0.00433 11 49.249 50.000 0.00035 0.00398 0.00000 0.00433 Summary of Inherent Optical Properties at 695.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.5864 0.3986 0.9850 0.4047 0.00433 0.01086 3 9.850 10.000 0.5864 0.3986 0.9850 0.4047 0.00433 0.01086 5 19.700 20.000 0.5864 0.3986 0.9850 0.4047 0.00433 0.01086 7 29.549 30.000 0.5864 0.3986 0.9850 0.4047 0.00433 0.01086 9 39.399 40.000 0.5864 0.3986 0.9850 0.4047 0.00433 0.01086 11 49.249 50.000 0.5864 0.3986 0.9850 0.4047 0.00433 0.01086 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 7.7183E-01 8 20.00 3.9851E-01 7 30.00 1.5645E-01 6 40.00 5.4734E-02 5 50.00 1.9527E-02 4 60.00 7.7391E-03 3 70.00 3.5095E-03 2 80.00 1.8153E-03 1 87.50 1.1891E-03 1 92.50 9.2115E-04 2 100.00 6.7209E-04 3 110.00 4.7878E-04 4 120.00 3.7257E-04 5 130.00 3.1383E-04 6 140.00 2.8152E-04 7 150.00 2.6419E-04 8 160.00 2.5533E-04 9 170.00 2.5125E-04 10 180.00 2.4988E-04 Asymptotic AOP values are MUu(inf) = 0.3809 MUd(inf) = 0.9000 MU(inf) = 0.8924 R(inf) = 0.0026 Lu(inf)/Ed(inf) = 0.000586 (1/sr) k(inf) = 0.6571 (1/m) absorp(check) = 0.5865 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 695.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.0148E-01 1.4919E+00 1.5934E+00 3.7879E-02 1.0888E+00 0.3733 0.7298 0.6595 3.4791E-02 1 0.00 0.00 1.3732E-02 1.1794E+00 1.1931E+00 5.9264E-03 1.0568E+00 0.4316 0.8961 0.8808 5.6077E-03 3 9.85 10.00 1.3946E-03 3.2761E-03 4.6707E-03 6.7051E-04 2.2509E-03 0.4808 0.6871 0.3384 2.9788E-01 5 19.70 20.00 2.9322E-04 3.8235E-04 6.7556E-04 1.4122E-04 2.0115E-04 0.4816 0.5261 0.0887 7.0209E-01 7 29.55 30.00 6.1880E-05 8.0323E-05 1.4220E-04 2.9820E-05 4.2138E-05 0.4819 0.5246 0.0866 7.0767E-01 9 39.40 40.00 1.3240E-05 1.7143E-05 3.0383E-05 6.3842E-06 8.9915E-06 0.4822 0.5245 0.0858 7.1003E-01 11 49.25 50.00 2.8830E-06 3.7222E-06 6.6052E-06 1.3910E-06 1.9515E-06 0.4825 0.5243 0.0849 7.1279E-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 0.40341 0.63911 0.63639 0.39097 0.65545 0.65694 0.37199 10.000 10.010 10.005 0.16153 0.38333 0.31705 0.16077 0.45187 0.57564 0.15984 20.000 20.010 20.005 0.15708 0.15569 0.15629 0.15699 0.15749 0.15865 0.15682 30.000 30.010 30.005 0.15537 0.15449 0.15487 0.15533 0.15456 0.15269 0.15517 40.000 40.010 40.005 0.15352 0.15338 0.15344 0.15339 0.15343 0.15353 0.15324 50.000 50.010 50.005 0.15160 0.15178 0.15170 0.15154 0.15183 0.15255 0.15141 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 8.48004E-04 6.02455E-03 6.87255E-03 7.78854E-04 0.082679 9 1 10.0 0.0 180.0 4.49620E-02 8.62452E-04 1.69691E-03 2.55937E-03 7.92124E-04 0.037741 9 4 10.0 45.0 135.0 4.94011E-02 8.57846E-04 1.97842E-03 2.83626E-03 7.87893E-04 0.040048 9 7 10.0 90.0 90.0 6.67449E-02 8.53546E-04 4.28615E-03 5.13970E-03 7.83944E-04 0.064217 8 1 20.0 0.0 180.0 3.53170E-02 8.69142E-04 8.66506E-04 1.73565E-03 7.98268E-04 0.024535 8 4 20.0 45.0 135.0 3.93173E-02 8.58871E-04 1.02674E-03 1.88562E-03 7.88835E-04 0.026114 8 7 20.0 90.0 90.0 5.78143E-02 8.53705E-04 2.43949E-03 3.29319E-03 7.84090E-04 0.042195 7 1 30.0 0.0 180.0 3.06217E-02 8.79201E-04 7.37133E-04 1.61633E-03 8.07506E-04 0.024072 7 4 30.0 45.0 135.0 3.39530E-02 8.75645E-04 8.28554E-04 1.70420E-03 8.04241E-04 0.024403 7 7 30.0 90.0 90.0 4.94878E-02 8.64552E-04 1.45876E-03 2.32331E-03 7.94052E-04 0.029477 6 1 40.0 0.0 180.0 2.90658E-02 8.82706E-04 8.19600E-04 1.70231E-03 8.10726E-04 0.028198 6 4 40.0 45.0 135.0 3.17819E-02 8.77099E-04 8.88913E-04 1.76601E-03 8.05576E-04 0.027969 6 7 40.0 90.0 90.0 4.46213E-02 8.65384E-04 1.28983E-03 2.15521E-03 7.94816E-04 0.028906 5 1 50.0 0.0 180.0 3.04746E-02 8.90191E-04 1.29470E-03 2.18489E-03 8.17601E-04 0.042485 5 4 50.0 45.0 135.0 3.24747E-02 8.79082E-04 1.34884E-03 2.22792E-03 8.07397E-04 0.041535 5 7 50.0 90.0 90.0 4.31670E-02 8.67573E-04 1.74379E-03 2.61137E-03 7.96827E-04 0.040396 4 1 60.0 0.0 180.0 3.61738E-02 8.73141E-04 3.01605E-03 3.88919E-03 8.01941E-04 0.083377 4 4 60.0 45.0 135.0 3.69924E-02 8.60379E-04 2.97829E-03 3.83867E-03 7.90219E-04 0.080511 4 7 60.0 90.0 90.0 4.56808E-02 8.58656E-04 3.47797E-03 4.33662E-03 7.88637E-04 0.076136 3 1 70.0 0.0 180.0 5.01914E-02 8.05439E-04 8.33112E-03 9.13656E-03 7.39759E-04 0.165987 3 4 70.0 45.0 135.0 4.87787E-02 8.01541E-04 8.01608E-03 8.81762E-03 7.36180E-04 0.164336 3 7 70.0 90.0 90.0 5.45334E-02 7.99137E-04 8.71711E-03 9.51625E-03 7.33972E-04 0.159849 2 1 80.0 0.0 180.0 8.52759E-02 6.85994E-04 2.07087E-02 2.13947E-02 6.30055E-04 0.242843 2 4 80.0 45.0 135.0 7.89638E-02 6.80362E-04 2.00296E-02 2.07100E-02 6.24882E-04 0.253655 2 7 80.0 90.0 90.0 7.84512E-02 6.78244E-04 2.09764E-02 2.16547E-02 6.22937E-04 0.267382 1 1 87.5 0.0 180.0 1.37875E-01 5.49360E-04 3.65226E-02 3.70720E-02 5.04563E-04 0.264896 1 4 87.5 45.0 135.0 1.24140E-01 5.18470E-04 3.62971E-02 3.68156E-02 4.76192E-04 0.292389 1 7 87.5 90.0 90.0 1.12940E-01 5.71585E-04 3.71477E-02 3.77193E-02 5.24975E-04 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 695.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 6.873E-03 7.287E-02 8.747E-02 7.533E-02 1.131E-01 6.312E-03 5.512E+00 8.480E-04 7.789E-04 1 0.00 0.00 1.574E-03 1.356E-01 2.936E-03 3.374E-03 4.640E-03 1.489E-03 3.765E+00 3 9.85 10.00 1.984E-04 1.442E-03 2.500E-04 2.509E-04 2.532E-04 8.813E-02 3.380E+00 5 19.70 20.00 4.186E-05 7.299E-05 5.242E-05 5.242E-05 5.242E-05 2.081E-01 3.373E+00 7 29.55 30.00 8.850E-06 1.492E-05 1.105E-05 1.105E-05 1.105E-05 2.100E-01 3.369E+00 9 39.40 40.00 1.897E-06 3.181E-06 2.360E-06 2.360E-06 2.360E-06 2.110E-01 3.365E+00 11 49.25 50.00 4.139E-07 6.898E-07 5.130E-07 5.130E-07 5.130E-07 2.121E-01 3.360E+00 Waveband 30 of 30 completed in 11.8 sec. Energy Eo as a function of depth and wavelength Units are W/m^2 [values are integrated over the wavelength bands] depth 405.0 415.0 425.0 435.0 445.0 455.0 465.0 475.0 485.0 495.0 505.0 515.0 525.0 535.0 545.0 555.0 565.0 575.0 585.0 595.0 605.0 615.0 625.0 635.0 645.0 655.0 665.0 675.0 685.0 695.0 in air 1.837E+01 1.931E+01 1.836E+01 1.875E+01 2.199E+01 2.340E+01 2.318E+01 2.344E+01 2.261E+01 2.287E+01 2.238E+01 2.145E+01 2.187E+01 2.205E+01 2.170E+01 2.150E+01 2.127E+01 2.122E+01 2.061E+01 1.976E+01 2.022E+01 1.971E+01 1.946E+01 1.918E+01 1.855E+01 1.770E+01 1.841E+01 1.807E+01 1.656E+01 1.593E+01 0.0 1.371E+01 1.442E+01 1.374E+01 1.404E+01 1.655E+01 1.772E+01 1.765E+01 1.798E+01 1.744E+01 1.772E+01 1.735E+01 1.656E+01 1.699E+01 1.718E+01 1.693E+01 1.675E+01 1.659E+01 1.642E+01 1.571E+01 1.488E+01 1.506E+01 1.468E+01 1.449E+01 1.428E+01 1.381E+01 1.316E+01 1.370E+01 1.352E+01 1.246E+01 1.193E+01 10.0 2.947E+00 2.950E+00 2.786E+00 2.726E+00 3.397E+00 3.924E+00 4.126E+00 4.656E+00 4.868E+00 5.216E+00 5.145E+00 4.547E+00 5.106E+00 5.413E+00 5.417E+00 5.270E+00 5.306E+00 4.585E+00 2.956E+00 1.498E+00 5.234E-01 4.635E-01 3.727E-01 2.889E-01 2.179E-01 1.186E-01 6.565E-02 7.993E-02 8.238E-02 4.671E-02 20.0 5.063E-01 4.842E-01 4.548E-01 4.279E-01 5.651E-01 7.062E-01 7.861E-01 9.850E-01 1.113E+00 1.262E+00 1.258E+00 1.033E+00 1.273E+00 1.419E+00 1.447E+00 1.388E+00 1.425E+00 1.078E+00 4.715E-01 1.301E-01 1.674E-02 1.356E-02 9.078E-03 5.766E-03 3.627E-03 1.750E-03 2.945E-03 8.266E-03 1.143E-02 6.756E-03 30.0 8.320E-02 7.608E-02 7.106E-02 6.432E-02 8.989E-02 1.214E-01 1.428E-01 1.983E-01 2.419E-01 2.900E-01 2.920E-01 2.231E-01 3.016E-01 3.528E-01 3.667E-01 3.470E-01 3.632E-01 2.415E-01 7.224E-02 1.112E-02 6.875E-04 5.260E-04 3.330E-04 2.290E-04 1.781E-04 1.944E-04 5.907E-04 1.720E-03 2.394E-03 1.422E-03 40.0 1.353E-02 1.183E-02 1.099E-02 9.568E-03 1.414E-02 2.060E-02 2.561E-02 3.936E-02 5.178E-02 6.556E-02 6.670E-02 4.747E-02 7.024E-02 8.624E-02 9.130E-02 8.526E-02 9.095E-02 5.320E-02 1.096E-02 9.784E-04 6.101E-05 4.742E-05 3.473E-05 3.202E-05 3.185E-05 4.266E-05 1.279E-04 3.676E-04 5.105E-04 3.038E-04 50.0 2.195E-03 1.835E-03 1.694E-03 1.420E-03 2.219E-03 3.488E-03 4.577E-03 7.780E-03 1.103E-02 1.475E-02 1.515E-02 1.005E-02 1.627E-02 2.096E-02 2.260E-02 2.082E-02 2.263E-02 1.166E-02 1.660E-03 9.294E-05 1.068E-05 8.407E-06 6.591E-06 6.811E-06 7.260E-06 9.809E-06 2.821E-05 7.995E-05 1.108E-04 6.605E-05 Quantum Eo as a function of depth and wavelength Units are (micromol photons)/(m^2 s) [values are integrated over the wavelength bands] depth 405.0 415.0 425.0 435.0 445.0 455.0 465.0 475.0 485.0 495.0 505.0 515.0 525.0 535.0 545.0 555.0 565.0 575.0 585.0 595.0 605.0 615.0 625.0 635.0 645.0 655.0 665.0 675.0 685.0 695.0 in air 6.218E+01 6.699E+01 6.523E+01 6.816E+01 8.179E+01 8.899E+01 9.011E+01 9.304E+01 9.165E+01 9.462E+01 9.445E+01 9.233E+01 9.596E+01 9.861E+01 9.884E+01 9.974E+01 1.004E+02 1.020E+02 1.008E+02 9.828E+01 1.023E+02 1.013E+02 1.016E+02 1.018E+02 1.000E+02 9.691E+01 1.023E+02 1.019E+02 9.479E+01 9.256E+01 0.0 4.641E+01 5.002E+01 4.881E+01 5.105E+01 6.157E+01 6.739E+01 6.860E+01 7.137E+01 7.070E+01 7.329E+01 7.324E+01 7.128E+01 7.453E+01 7.684E+01 7.711E+01 7.772E+01 7.835E+01 7.891E+01 7.682E+01 7.398E+01 7.618E+01 7.548E+01 7.570E+01 7.581E+01 7.445E+01 7.206E+01 7.613E+01 7.630E+01 7.133E+01 6.931E+01 10.0 9.974E+00 1.023E+01 9.895E+00 9.910E+00 1.263E+01 1.492E+01 1.604E+01 1.848E+01 1.973E+01 2.158E+01 2.172E+01 1.957E+01 2.241E+01 2.420E+01 2.468E+01 2.445E+01 2.506E+01 2.204E+01 1.445E+01 7.449E+00 2.647E+00 2.382E+00 1.947E+00 1.533E+00 1.175E+00 6.493E-01 3.649E-01 4.510E-01 4.716E-01 2.713E-01 20.0 1.714E+00 1.680E+00 1.616E+00 1.556E+00 2.102E+00 2.686E+00 3.055E+00 3.910E+00 4.513E+00 5.222E+00 5.310E+00 4.446E+00 5.588E+00 6.344E+00 6.591E+00 6.438E+00 6.728E+00 5.182E+00 2.306E+00 6.471E-01 8.465E-02 6.972E-02 4.742E-02 3.060E-02 1.955E-02 9.579E-03 1.637E-02 4.663E-02 6.542E-02 3.924E-02 30.0 2.816E-01 2.639E-01 2.524E-01 2.338E-01 3.343E-01 4.615E-01 5.550E-01 7.872E-01 9.806E-01 1.200E+00 1.232E+00 9.605E-01 1.323E+00 1.578E+00 1.670E+00 1.610E+00 1.715E+00 1.160E+00 3.532E-01 5.531E-02 3.476E-03 2.704E-03 1.740E-03 1.215E-03 9.601E-04 1.064E-03 3.283E-03 9.706E-03 1.371E-02 8.260E-03 40.0 4.580E-02 4.104E-02 3.902E-02 3.479E-02 5.260E-02 7.835E-02 9.954E-02 1.563E-01 2.099E-01 2.713E-01 2.815E-01 2.043E-01 3.082E-01 3.856E-01 4.159E-01 3.955E-01 4.295E-01 2.557E-01 5.357E-02 4.866E-03 3.085E-04 2.438E-04 1.814E-04 1.700E-04 1.717E-04 2.335E-04 7.111E-04 2.074E-03 2.923E-03 1.765E-03 50.0 7.429E-03 6.364E-03 6.017E-03 5.162E-03 8.253E-03 1.326E-02 1.779E-02 3.089E-02 4.471E-02 6.102E-02 6.396E-02 4.325E-02 7.139E-02 9.372E-02 1.029E-01 9.658E-02 1.069E-01 5.604E-02 8.118E-03 4.622E-04 5.401E-05 4.322E-05 3.443E-05 3.615E-05 3.914E-05 5.370E-05 1.568E-04 4.510E-04 6.342E-04 3.837E-04 PAR as a function of depth The wavelengths used for this PAR calculation were 400.0 to 700.0 nm depth PAR(from Eo) PAR(from Ed) (m) (mumol phot/m^2/s) (mumol phot/m^2/s) in air 2.7797E+03 1.8379E+03 0.00 2.1107E+03 1.7937E+03 10.00 3.6131E+02 2.6627E+02 20.00 7.8061E+01 5.5551E+01 30.00 1.7054E+01 1.2010E+01 40.00 3.7720E+00 2.6472E+00 50.00 8.4613E-01 5.9308E-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 0.22698 10.000 10.010 10.005 0.15510 20.000 20.010 20.005 0.15254 30.000 30.010 30.005 0.15156 40.000 40.010 40.005 0.15017 50.000 50.010 50.005 0.14879 CIE 1931 chromaticity coordinates (x,y) and (il)luminance Y for selected quantities. Output is (x,y,Y). Y is illuminance in lm/m^2 for Ed and Eu; Y is luminance in lm/(m^2 sr) for Lu and Lw depth Ed Eu Lu Lw in air (0.328, 0.340, 1.023E+05) (0.306, 0.332, 4.233E+03) (0.300, 0.334, 8.157E+02) (0.242, 0.324, 2.442E+02) 0.00 (0.327, 0.340, 1.000E+05) (0.244, 0.328, 1.946E+03) (0.242, 0.324, 4.529E+02) 10.00 (0.249, 0.386, 2.095E+04) (0.222, 0.375, 5.507E+02) (0.221, 0.370, 1.137E+02) 20.00 (0.239, 0.434, 4.821E+03) (0.223, 0.424, 1.358E+02) (0.223, 0.419, 2.714E+01) 30.00 (0.241, 0.476, 1.121E+03) (0.229, 0.468, 3.226E+01) (0.228, 0.463, 6.376E+00) 40.00 (0.245, 0.513, 2.622E+02) (0.235, 0.506, 7.603E+00) (0.235, 0.501, 1.496E+00) 50.00 (0.251, 0.543, 6.166E+01) (0.242, 0.538, 1.793E+00) (0.241, 0.533, 3.521E-01) The final depth-averaged photopic alpha and K are alpha = 0.6237 1/m and K = 0.1542 1/m The final estimate for the Secchi depth is z_SD = 10.28 m Run completed on 07/19/2011 at 15:46:48.9 Total (wall clock) run time = 228.9 sec