======================================================== | | | HYDROLIGHT Version 5.1.0 (MAIN CODE) | | Copyright (c) 2013 by Curtis D. Mobley | | | | This copy of HE5 is licensed solely to | | U Maine Optics Summer Class 2013 | | | | S/N Maine-500-31Aug2013 | | | | THIS PROGRAM IS EXPERIMENTAL AND IS LICENSED "AS IS" | | WITHOUT REPRESENTATION OF WARRANTY OF ANY KIND, | | EITHER EXPRESS OR IMPLIED. THE ENTIRE RISK AS TO | | THE QUALITY AND PERFORMANCE OF HYDROLIGHT IS WITH | | THE USER. HYDROLIGHT IS NOT FAULT TOLERANT. | | | ======================================================== RUN TITLE: Run1 (07/18/2013 15:05) Run started on 07/18/2013 at 15:05:12.1 The radiance distribution is computed on the following (Theta,Phi,Depth,Wavelength) grid: I Theta Mu J Phi K zeta z L Lambda (deg) (deg) (m) (nm) 1 87.500 0.0436 1 0.00 1 0.000 1 405.00 2 80.000 0.1730 2 15.00 2 0.010 2 415.00 3 70.000 0.3407 3 30.00 3 5.000 3 425.00 4 60.000 0.4981 4 45.00 4 5.010 4 435.00 5 50.000 0.6403 5 60.00 5 10.000 5 445.00 6 40.000 0.7631 6 75.00 6 10.010 6 455.00 7 30.000 0.8627 7 90.00 7 15.000 7 465.00 8 20.000 0.9361 8 105.00 8 15.010 8 475.00 9 10.000 0.9811 9 120.00 9 20.000 9 485.00 10 0.000 0.9981 10 135.00 10 20.010 10 495.00 11 150.00 11 25.000 11 505.00 12 165.00 12 25.010 12 515.00 13 180.00 13 525.00 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 obtained from measured values read from the file: C:\HE5\data\examples\Chlzdata.txt (Linear interpolation is used to define Chl(z) at all depths) The data file header records from C:\HE5\data\examples\Chlzdata.txt are: Example "chlzdata" file showing the Hydrolight "Chlorophyll-data standard format" These files are read by Hydrolight subroutine "chlzdata" on file ..\maincode\chlzdata.f 6 records read 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 0.0200 Chlorophyll concentrations at the requested output depths depth Chl (m) (mg/m^3) 0.000 0.500 5.000 0.700 10.000 1.200 15.000 2.100 20.000 1.500 25.000 0.400 ***** 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 The ozone concentration is computed from climatology using Day of Year = 198 latitude = 60.0000 degrees (N is positive) longitude = -68.0000 degrees (E is positive) Binned Monthly Average TOMS v8 Ozone concentrations (in Dobson units) for use in HE5; Sept 2007 Data from 2000-2004 were averaged to give 5-year climatological averages for 5 x 10 deg latitude x longitude regions. For missing data near the poles, the zonal average of the nearest valid latitude band is used. Parameter values used in the RADTRANX model: Solar zenith angle = 30.0 degrees Pressure = 29.9 in. mercury Day of year = 198 Air mass type = 1.0 Relative Humidity = 80.0 % Precipitable water = 2.5 cm 24-hr wind speed = 5.0 m/sec Current wind speed = 5.0 m/sec Visibility = 15.0 km Total ozone = 338.6 Dobson units Irradiances are computed just above the sea surface Aerosol optical thickness at 550 nm = 0.261 ***** END ATMOSPHERIC MODEL SPECIFICATIONS ***** ***** BEGIN AIR-WATER SURFACE SPECIFICATIONS ***** The air-water surface is for a wind speed of 5.0 m/s Index of refraction is constant for all wavelengths with the value: 1.340 ***** END AIR-WATER SURFACE SPECIFICATIONS ***** ***** BEGIN BOTTOM BOUNDARY SPECIFICATIONS ***** The bottom boundary is an infinitely deep, homogeneous water body below depth 25.00 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 ***** ***** WARNING MESSAGES FOR INPUT DATA FILES ***** NUMBER OF FILES WITH WARNINGS: 1 Data file: C:\HE5\data\examples\Chlzdata.txt does not extend over the full range of depths and wavelengths selected for this run. For depths greater than 25.0 m the value at 25.0 m will be used HYDROLIGHT/ECOLIGHT OUTPUTS MAY BE UNPHYSICAL OR INACCURATE FOR DEPTHS AND WAVELENGTHS OUTSIDE THE RANGE OF THE INPUT DATA. ***** END WARNING MESSAGES FOR INPUT DATA FILES ***** 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 109.9 m at 405.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 400.0 nm to 410.0 nm: Ed(diffuse) = 4.148E-01 Ed(direct) = 6.766E-01 Ed(total) = 1.091E+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 0.0298 0.0125 0.0476 3 1.783 5.000 0.0053 0.0371 0.0155 0.0580 5 4.133 10.000 0.0053 0.0527 0.0221 0.0800 7 7.424 15.000 0.0053 0.0758 0.0317 0.1128 9 10.902 20.000 0.0053 0.0609 0.0255 0.0917 11 13.227 25.000 0.0053 0.0258 0.0108 0.0419 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 0.2651 0.0000 0.2723 3 1.783 5.000 0.0072 0.3266 0.0000 0.3338 5 4.133 10.000 0.0072 0.4562 0.0000 0.4633 7 7.424 15.000 0.0072 0.6454 0.0000 0.6525 9 10.902 20.000 0.0072 0.5238 0.0000 0.5310 11 13.227 25.000 0.0072 0.2308 0.0000 0.2380 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 0.00530 0.00000 0.00889 3 1.783 5.000 0.00359 0.00653 0.00000 0.01012 5 4.133 10.000 0.00359 0.00912 0.00000 0.01271 7 7.424 15.000 0.00359 0.01291 0.00000 0.01650 9 10.902 20.000 0.00359 0.01048 0.00000 0.01407 11 13.227 25.000 0.00359 0.00462 0.00000 0.00821 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 0.0476 0.2723 0.3199 0.8512 0.00889 0.03266 3 1.783 5.000 0.0580 0.3338 0.3917 0.8521 0.01012 0.03032 5 4.133 10.000 0.0800 0.4633 0.5434 0.8527 0.01271 0.02744 7 7.424 15.000 0.1128 0.6525 0.7654 0.8526 0.01650 0.02528 9 10.902 20.000 0.0917 0.5310 0.6227 0.8527 0.01407 0.02649 11 13.227 25.000 0.0419 0.2380 0.2799 0.8503 0.00821 0.03448 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4763E-01 8 20.00 8.2147E-01 7 30.00 6.5583E-01 6 40.00 4.8994E-01 5 50.00 3.4918E-01 4 60.00 2.4253E-01 3 70.00 1.6766E-01 2 80.00 1.1788E-01 1 87.50 9.1728E-02 1 92.50 7.7377E-02 2 100.00 6.2559E-02 3 110.00 4.9155E-02 4 120.00 4.0276E-02 5 130.00 3.4459E-02 6 140.00 3.0659E-02 7 150.00 2.8214E-02 8 160.00 2.6706E-02 9 170.00 2.5887E-02 10 180.00 2.5594E-02 Asymptotic AOP values are MUu(inf) = 0.4031 MUd(inf) = 0.6927 MU(inf) = 0.5632 R(inf) = 0.0780 Lu(inf)/Ed(inf) = 0.017688 (1/sr) k(inf) = 0.0744 (1/m) absorp(check) = 0.0419 = 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 1.8681E-01 1.6183E+00 1.8051E+00 6.9819E-02 1.0914E+00 0.3737 0.6745 0.5660 6.3969E-02 1 0.00 0.00 1.5408E-01 1.3039E+00 1.4580E+00 6.6662E-02 1.0883E+00 0.4326 0.8346 0.7007 6.1255E-02 3 1.78 5.00 1.1192E-01 9.5028E-01 1.0622E+00 4.6103E-02 7.3476E-01 0.4119 0.7732 0.6483 6.2745E-02 5 4.13 10.00 6.6819E-02 5.7574E-01 6.4256E-01 2.6721E-02 4.2450E-01 0.3999 0.7373 0.6191 6.2947E-02 7 7.42 15.00 3.1220E-02 2.6791E-01 2.9913E-01 1.2360E-02 1.9161E-01 0.3959 0.7152 0.5992 6.4506E-02 9 10.90 20.00 1.4250E-02 1.1505E-01 1.2930E-01 5.7209E-03 8.1027E-02 0.4015 0.7042 0.5824 7.0605E-02 11 13.23 25.00 8.6031E-03 6.4314E-02 7.2917E-02 3.4817E-03 4.4955E-02 0.4047 0.6990 0.5688 7.7448E-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 0.05060 0.05154 0.05144 0.05950 0.06745 0.06796 0.07539 5.000 5.010 5.005 0.08180 0.07796 0.07836 0.08900 0.08940 0.08943 0.09987 10.000 10.010 10.005 0.12520 0.12180 0.12216 0.12956 0.12937 0.12936 0.13590 15.000 15.010 15.005 0.17374 0.18269 0.18175 0.17302 0.18728 0.18826 0.16989 20.000 20.010 20.005 0.13534 0.15353 0.15152 0.13100 0.15554 0.15740 0.12439 25.000 25.010 25.005 0.07229 0.07256 0.07253 0.07290 0.07360 0.07366 0.07349 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 1.11942E-01 8.89497E-03 6.29540E-03 1.51904E-02 8.14974E-03 0.056238 9 1 10.0 0.0 180.0 6.90728E-02 9.09354E-03 2.20955E-03 1.13031E-02 8.33167E-03 0.031989 9 4 10.0 45.0 135.0 7.58924E-02 9.03818E-03 2.52809E-03 1.15663E-02 8.28095E-03 0.033311 9 7 10.0 90.0 90.0 1.02537E-01 8.97931E-03 4.75333E-03 1.37326E-02 8.22701E-03 0.046357 8 1 20.0 0.0 180.0 5.42557E-02 9.22992E-03 1.31107E-03 1.05410E-02 8.45663E-03 0.024165 8 4 20.0 45.0 135.0 6.04013E-02 9.10932E-03 1.52530E-03 1.06346E-02 8.34613E-03 0.025253 8 7 20.0 90.0 90.0 8.88172E-02 9.03441E-03 3.05119E-03 1.20856E-02 8.27749E-03 0.034354 7 1 30.0 0.0 180.0 4.70427E-02 9.41749E-03 1.13243E-03 1.05499E-02 8.62848E-03 0.024073 7 4 30.0 45.0 135.0 5.21451E-02 9.36384E-03 1.27037E-03 1.06342E-02 8.57933E-03 0.024362 7 7 30.0 90.0 90.0 7.61190E-02 9.22116E-03 2.10404E-03 1.13252E-02 8.44860E-03 0.027642 6 1 40.0 0.0 180.0 4.46524E-02 9.58488E-03 1.25913E-03 1.08440E-02 8.78185E-03 0.028198 6 4 40.0 45.0 135.0 4.88250E-02 9.50588E-03 1.36559E-03 1.08715E-02 8.70946E-03 0.027969 6 7 40.0 90.0 90.0 6.85495E-02 9.35660E-03 1.97257E-03 1.13292E-02 8.57269E-03 0.028776 5 1 50.0 0.0 180.0 4.68165E-02 9.79049E-03 1.98898E-03 1.17795E-02 8.97023E-03 0.042485 5 4 50.0 45.0 135.0 4.98893E-02 9.65007E-03 2.07216E-03 1.17222E-02 8.84158E-03 0.041535 5 7 50.0 90.0 90.0 6.63153E-02 9.50842E-03 2.67889E-03 1.21873E-02 8.71179E-03 0.040396 4 1 60.0 0.0 180.0 5.55719E-02 9.72741E-03 4.63340E-03 1.43608E-02 8.91244E-03 0.083377 4 4 60.0 45.0 135.0 5.68296E-02 9.56761E-03 4.57540E-03 1.41430E-02 8.76602E-03 0.080511 4 7 60.0 90.0 90.0 7.01771E-02 9.54106E-03 5.34303E-03 1.48841E-02 8.74169E-03 0.076136 3 1 70.0 0.0 180.0 7.71065E-02 9.09471E-03 1.27987E-02 2.18934E-02 8.33274E-03 0.165987 3 4 70.0 45.0 135.0 7.49362E-02 9.03531E-03 1.23147E-02 2.13500E-02 8.27832E-03 0.164336 3 7 70.0 90.0 90.0 8.37769E-02 9.01162E-03 1.33917E-02 2.24033E-02 8.25661E-03 0.159849 2 1 80.0 0.0 180.0 1.31005E-01 7.83783E-03 3.18137E-02 3.96515E-02 7.18117E-03 0.242843 2 4 80.0 45.0 135.0 1.21308E-01 7.76238E-03 3.07705E-02 3.85328E-02 7.11204E-03 0.253655 2 7 80.0 90.0 90.0 1.20521E-01 7.74461E-03 3.22250E-02 3.99696E-02 7.09576E-03 0.267382 1 1 87.5 0.0 180.0 2.11811E-01 6.34155E-03 5.61079E-02 6.24494E-02 5.81025E-03 0.264896 1 4 87.5 45.0 135.0 1.90710E-01 5.97531E-03 5.57615E-02 6.17368E-02 5.47469E-03 0.292389 1 7 87.5 90.0 90.0 1.73504E-01 6.59586E-03 5.70682E-02 6.36641E-02 6.04325E-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 1.519E-02 1.119E-01 1.371E-01 1.186E-01 1.768E-01 1.392E-02 4.596E+00 8.895E-03 8.150E-03 1 0.00 0.00 1.650E-02 2.086E-01 3.207E-02 3.537E-02 4.492E-02 1.516E-02 4.040E+00 3 1.78 5.00 1.066E-02 2.908E-01 2.405E-02 2.892E-02 4.212E-02 1.450E-02 4.326E+00 5 4.13 10.00 5.906E-03 2.391E-01 1.544E-02 1.896E-02 2.728E-02 1.391E-02 4.524E+00 7 7.42 15.00 2.705E-03 1.278E-01 7.704E-03 9.336E-03 1.261E-02 1.412E-02 4.569E+00 9 10.90 20.00 1.289E-03 5.664E-02 3.655E-03 4.244E-03 5.273E-03 1.591E-02 4.437E+00 11 13.23 25.00 7.941E-04 3.158E-02 2.260E-03 2.521E-03 2.946E-03 1.766E-02 4.385E+00 Waveband 1 of 30 completed in 4.0 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 109.9 m at 415.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 410.0 nm to 420.0 nm: Ed(diffuse) = 4.252E-01 Ed(direct) = 7.344E-01 Ed(total) = 1.160E+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 0.0336 0.0109 0.0489 3 1.751 5.000 0.0044 0.0419 0.0135 0.0598 5 4.063 10.000 0.0044 0.0594 0.0192 0.0831 7 7.304 15.000 0.0044 0.0855 0.0276 0.1175 9 10.728 20.000 0.0044 0.0687 0.0222 0.0953 11 13.015 25.000 0.0044 0.0291 0.0094 0.0429 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 0.2587 0.0000 0.2652 3 1.751 5.000 0.0065 0.3187 0.0000 0.3252 5 4.063 10.000 0.0065 0.4452 0.0000 0.4516 7 7.304 15.000 0.0065 0.6298 0.0000 0.6363 9 10.728 20.000 0.0065 0.5112 0.0000 0.5177 11 13.015 25.000 0.0065 0.2253 0.0000 0.2317 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 0.00517 0.00000 0.00840 3 1.751 5.000 0.00323 0.00637 0.00000 0.00960 5 4.063 10.000 0.00323 0.00890 0.00000 0.01213 7 7.304 15.000 0.00323 0.01260 0.00000 0.01583 9 10.728 20.000 0.00323 0.01022 0.00000 0.01346 11 13.015 25.000 0.00323 0.00451 0.00000 0.00774 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 0.0489 0.2652 0.3141 0.8442 0.00840 0.03170 3 1.751 5.000 0.0598 0.3252 0.3850 0.8446 0.00960 0.02954 5 4.063 10.000 0.0831 0.4516 0.5347 0.8447 0.01213 0.02687 7 7.304 15.000 0.1175 0.6363 0.7538 0.8441 0.01583 0.02487 9 10.728 20.000 0.0953 0.5177 0.6130 0.8445 0.01346 0.02599 11 13.015 25.000 0.0429 0.2317 0.2747 0.8437 0.00774 0.03338 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4599E-01 8 20.00 8.1631E-01 7 30.00 6.4711E-01 6 40.00 4.7910E-01 5 50.00 3.3801E-01 4 60.00 2.3229E-01 3 70.00 1.5892E-01 2 80.00 1.1065E-01 1 87.50 8.5535E-02 1 92.50 7.1844E-02 2 100.00 5.7776E-02 3 110.00 4.5131E-02 4 120.00 3.6811E-02 5 130.00 3.1391E-02 6 140.00 2.7870E-02 7 150.00 2.5613E-02 8 160.00 2.4227E-02 9 170.00 2.3475E-02 10 180.00 2.3207E-02 Asymptotic AOP values are MUu(inf) = 0.4009 MUd(inf) = 0.6976 MU(inf) = 0.5744 R(inf) = 0.0726 Lu(inf)/Ed(inf) = 0.016348 (1/sr) k(inf) = 0.0748 (1/m) absorp(check) = 0.0429 = 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 1.9008E-01 1.7062E+00 1.8963E+00 7.1129E-02 1.1597E+00 0.3742 0.6797 0.5740 6.1336E-02 1 0.00 0.00 1.5181E-01 1.3749E+00 1.5268E+00 6.5420E-02 1.1539E+00 0.4309 0.8393 0.7130 5.6693E-02 3 1.75 5.00 1.0973E-01 9.9586E-01 1.1056E+00 4.4997E-02 7.7532E-01 0.4101 0.7785 0.6606 5.8037E-02 5 4.06 10.00 6.4886E-02 5.9761E-01 6.6250E-01 2.5827E-02 4.4403E-01 0.3980 0.7430 0.6312 5.8166E-02 7 7.30 15.00 2.9819E-02 2.7360E-01 3.0341E-01 1.1751E-02 1.9727E-01 0.3941 0.7210 0.6114 5.9569E-02 9 10.73 20.00 1.3401E-02 1.1547E-01 1.2887E-01 5.3573E-03 8.1985E-02 0.3998 0.7100 0.5946 6.5345E-02 11 13.01 25.00 8.0633E-03 6.4015E-02 7.2079E-02 3.2479E-03 4.5102E-02 0.4028 0.7045 0.5807 7.2012E-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 0.05053 0.05191 0.05178 0.06015 0.06818 0.06866 0.07628 5.000 5.010 5.005 0.08321 0.07936 0.07974 0.09042 0.09059 0.09060 0.10127 10.000 10.010 10.005 0.12772 0.12420 0.12455 0.13208 0.13166 0.13163 0.13840 15.000 15.010 15.005 0.17759 0.18676 0.18586 0.17685 0.19129 0.19220 0.17378 20.000 20.010 20.005 0.13744 0.15643 0.15446 0.13299 0.15845 0.16024 0.12644 25.000 25.010 25.005 0.07237 0.07272 0.07268 0.07307 0.07387 0.07393 0.07374 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 1.14741E-01 8.68850E-03 6.66125E-03 1.53498E-02 7.49227E-03 0.058054 9 1 10.0 0.0 180.0 7.08001E-02 8.88390E-03 2.29278E-03 1.11767E-02 7.66077E-03 0.032384 9 4 10.0 45.0 135.0 7.77902E-02 8.82923E-03 2.62731E-03 1.14565E-02 7.61363E-03 0.033774 9 7 10.0 90.0 90.0 1.05101E-01 8.77070E-03 5.00114E-03 1.37718E-02 7.56315E-03 0.047584 8 1 20.0 0.0 180.0 5.56125E-02 9.01798E-03 1.34527E-03 1.03633E-02 7.77639E-03 0.024190 8 4 20.0 45.0 135.0 6.19117E-02 8.89913E-03 1.56711E-03 1.04662E-02 7.67390E-03 0.025312 8 7 20.0 90.0 90.0 9.10382E-02 8.82449E-03 3.17654E-03 1.20010E-02 7.60954E-03 0.034892 7 1 30.0 0.0 180.0 4.82191E-02 9.20194E-03 1.16075E-03 1.03627E-02 7.93502E-03 0.024072 7 4 30.0 45.0 135.0 5.34502E-02 9.14810E-03 1.30231E-03 1.04504E-02 7.88859E-03 0.024365 7 7 30.0 90.0 90.0 7.80159E-02 9.00716E-03 2.16631E-03 1.11735E-02 7.76706E-03 0.027767 6 1 40.0 0.0 180.0 4.57690E-02 9.36615E-03 1.29061E-03 1.06568E-02 8.07662E-03 0.028198 6 4 40.0 45.0 135.0 5.00460E-02 9.28730E-03 1.39974E-03 1.06870E-02 8.00863E-03 0.027969 6 7 40.0 90.0 90.0 7.02637E-02 9.14072E-03 2.02253E-03 1.11632E-02 7.88223E-03 0.028785 5 1 50.0 0.0 180.0 4.79873E-02 9.56784E-03 2.03872E-03 1.16066E-02 8.25054E-03 0.042485 5 4 50.0 45.0 135.0 5.11369E-02 9.42914E-03 2.12397E-03 1.15531E-02 8.13094E-03 0.041535 5 7 50.0 90.0 90.0 6.79736E-02 9.29191E-03 2.74588E-03 1.20378E-02 8.01261E-03 0.040396 4 1 60.0 0.0 180.0 5.69616E-02 9.50721E-03 4.74926E-03 1.42565E-02 8.19826E-03 0.083377 4 4 60.0 45.0 135.0 5.82508E-02 9.34994E-03 4.68982E-03 1.40398E-02 8.06264E-03 0.080511 4 7 60.0 90.0 90.0 7.19321E-02 9.32756E-03 5.47664E-03 1.48042E-02 8.04335E-03 0.076136 3 1 70.0 0.0 180.0 7.90347E-02 8.89066E-03 1.31187E-02 2.20094E-02 7.66660E-03 0.165987 3 4 70.0 45.0 135.0 7.68102E-02 8.83234E-03 1.26227E-02 2.14550E-02 7.61631E-03 0.164336 3 7 70.0 90.0 90.0 8.58720E-02 8.81602E-03 1.37265E-02 2.25426E-02 7.60223E-03 0.159849 2 1 80.0 0.0 180.0 1.34281E-01 7.66390E-03 3.26093E-02 4.02732E-02 6.60874E-03 0.242843 2 4 80.0 45.0 135.0 1.24342E-01 7.59066E-03 3.15399E-02 3.91306E-02 6.54558E-03 0.253655 2 7 80.0 90.0 90.0 1.23535E-01 7.58203E-03 3.30309E-02 4.06129E-02 6.53814E-03 0.267382 1 1 87.5 0.0 180.0 2.17108E-01 6.20299E-03 5.75110E-02 6.37140E-02 5.34896E-03 0.264896 1 4 87.5 45.0 135.0 1.95479E-01 5.84580E-03 5.71559E-02 6.30017E-02 5.04096E-03 0.292389 1 7 87.5 90.0 90.0 1.77843E-01 6.46322E-03 5.84953E-02 6.49586E-02 5.57337E-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 1.535E-02 1.147E-01 1.404E-01 1.214E-01 1.810E-01 1.324E-02 4.634E+00 8.689E-03 7.492E-03 1 0.00 0.00 1.612E-02 2.138E-01 3.153E-02 3.499E-02 4.495E-02 1.397E-02 4.059E+00 3 1.75 5.00 1.035E-02 3.019E-01 2.362E-02 2.864E-02 4.227E-02 1.335E-02 4.348E+00 5 4.06 10.00 5.681E-03 2.490E-01 1.501E-02 1.860E-02 2.712E-02 1.279E-02 4.546E+00 7 7.30 15.00 2.559E-03 1.326E-01 7.371E-03 9.008E-03 1.233E-02 1.297E-02 4.592E+00 9 10.73 20.00 1.201E-03 5.820E-02 3.443E-03 4.031E-03 5.071E-03 1.465E-02 4.459E+00 11 13.01 25.00 7.363E-04 3.227E-02 2.124E-03 2.388E-03 2.822E-03 1.632E-02 4.411E+00 Waveband 2 of 30 completed in 3.9 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 109.9 m at 425.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 420.0 nm to 430.0 nm: Ed(diffuse) = 3.949E-01 Ed(direct) = 7.172E-01 Ed(total) = 1.112E+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 0.0356 0.0094 0.0498 3 1.719 5.000 0.0048 0.0443 0.0117 0.0608 5 3.988 10.000 0.0048 0.0628 0.0167 0.0843 7 7.168 15.000 0.0048 0.0904 0.0240 0.1191 9 10.530 20.000 0.0048 0.0726 0.0193 0.0967 11 12.774 25.000 0.0048 0.0308 0.0082 0.0437 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 0.2526 0.0000 0.2584 3 1.719 5.000 0.0058 0.3112 0.0000 0.3170 5 3.988 10.000 0.0058 0.4347 0.0000 0.4405 7 7.168 15.000 0.0058 0.6150 0.0000 0.6208 9 10.530 20.000 0.0058 0.4992 0.0000 0.5050 11 12.774 25.000 0.0058 0.2200 0.0000 0.2258 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 0.00505 0.00000 0.00797 3 1.719 5.000 0.00291 0.00622 0.00000 0.00914 5 3.988 10.000 0.00291 0.00869 0.00000 0.01161 7 7.168 15.000 0.00291 0.01230 0.00000 0.01521 9 10.530 20.000 0.00291 0.00998 0.00000 0.01290 11 12.774 25.000 0.00291 0.00440 0.00000 0.00731 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 0.0498 0.2584 0.3082 0.8385 0.00797 0.03083 3 1.719 5.000 0.0608 0.3170 0.3778 0.8391 0.00914 0.02883 5 3.988 10.000 0.0843 0.4405 0.5248 0.8394 0.01161 0.02635 7 7.168 15.000 0.1191 0.6208 0.7400 0.8390 0.01521 0.02451 9 10.530 20.000 0.0967 0.5050 0.6017 0.8393 0.01290 0.02554 11 12.774 25.000 0.0437 0.2258 0.2695 0.8379 0.00731 0.03239 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4456E-01 8 20.00 8.1182E-01 7 30.00 6.3956E-01 6 40.00 4.6980E-01 5 50.00 3.2852E-01 4 60.00 2.2368E-01 3 70.00 1.5164E-01 2 80.00 1.0469E-01 1 87.50 8.0445E-02 1 92.50 6.7311E-02 2 100.00 5.3873E-02 3 110.00 4.1858E-02 4 120.00 3.3999E-02 5 130.00 2.8906E-02 6 140.00 2.5611E-02 7 150.00 2.3507E-02 8 160.00 2.2218E-02 9 170.00 2.1521E-02 10 180.00 2.1273E-02 Asymptotic AOP values are MUu(inf) = 0.3990 MUd(inf) = 0.7018 MU(inf) = 0.5840 R(inf) = 0.0681 Lu(inf)/Ed(inf) = 0.015237 (1/sr) k(inf) = 0.0748 (1/m) absorp(check) = 0.0437 = 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 1.7599E-01 1.6254E+00 1.8014E+00 6.6029E-02 1.1122E+00 0.3752 0.6843 0.5808 5.9369E-02 1 0.00 0.00 1.3721E-01 1.3112E+00 1.4484E+00 5.8975E-02 1.1051E+00 0.4298 0.8429 0.7223 5.3365E-02 3 1.72 5.00 9.9443E-02 9.4753E-01 1.0470E+00 4.0668E-02 7.4177E-01 0.4090 0.7828 0.6696 5.4825E-02 5 3.99 10.00 5.8982E-02 5.6811E-01 6.2709E-01 2.3412E-02 4.2456E-01 0.3969 0.7473 0.6397 5.5145E-02 7 7.17 15.00 2.7137E-02 2.5998E-01 2.8712E-01 1.0657E-02 1.8849E-01 0.3927 0.7250 0.6194 5.6537E-02 9 10.53 20.00 1.2139E-02 1.0963E-01 1.2177E-01 4.8291E-03 7.8261E-02 0.3978 0.7139 0.6030 6.1705E-02 11 12.77 25.00 7.2521E-03 6.0711E-02 6.7963E-02 2.9067E-03 4.3018E-02 0.4008 0.7086 0.5902 6.7571E-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 0.04960 0.05209 0.05185 0.05963 0.06843 0.06893 0.07583 5.000 5.010 5.005 0.08253 0.07964 0.07992 0.08975 0.09073 0.09079 0.10062 10.000 10.010 10.005 0.12711 0.12430 0.12457 0.13153 0.13177 0.13178 0.13800 15.000 15.010 15.005 0.17807 0.18687 0.18604 0.17758 0.19147 0.19230 0.17498 20.000 20.010 20.005 0.13896 0.15663 0.15487 0.13479 0.15865 0.16022 0.12845 25.000 25.010 25.005 0.07259 0.07294 0.07290 0.07322 0.07398 0.07404 0.07386 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 1.06573E-01 7.80740E-03 6.36568E-03 1.41731E-02 7.01987E-03 0.059731 9 1 10.0 0.0 180.0 6.57597E-02 7.98263E-03 2.15354E-03 1.01362E-02 7.17742E-03 0.032749 9 4 10.0 45.0 135.0 7.22522E-02 7.93350E-03 2.47112E-03 1.04046E-02 7.13325E-03 0.034201 9 7 10.0 90.0 90.0 9.76187E-02 7.88116E-03 4.75564E-03 1.26368E-02 7.08619E-03 0.048717 8 1 20.0 0.0 180.0 5.16534E-02 8.10285E-03 1.25071E-03 9.35356E-03 7.28552E-03 0.024214 8 4 20.0 45.0 135.0 5.75041E-02 7.99600E-03 1.45868E-03 9.45468E-03 7.18944E-03 0.025367 8 7 20.0 90.0 90.0 8.45570E-02 7.92954E-03 2.99243E-03 1.09220E-02 7.12969E-03 0.035390 7 1 30.0 0.0 180.0 4.47862E-02 8.26782E-03 1.07812E-03 9.34594E-03 7.43385E-03 0.024072 7 4 30.0 45.0 135.0 4.96459E-02 8.21937E-03 1.20975E-03 9.42912E-03 7.39029E-03 0.024368 7 7 30.0 90.0 90.0 7.24562E-02 8.09392E-03 2.02035E-03 1.01143E-02 7.27748E-03 0.027884 6 1 40.0 0.0 180.0 4.25106E-02 8.41477E-03 1.19873E-03 9.61350E-03 7.56597E-03 0.028198 6 4 40.0 45.0 135.0 4.64831E-02 8.34397E-03 1.30009E-03 9.64406E-03 7.50231E-03 0.027969 6 7 40.0 90.0 90.0 6.52615E-02 8.21479E-03 1.87908E-03 1.00939E-02 7.38617E-03 0.028793 5 1 50.0 0.0 180.0 4.45710E-02 8.59549E-03 1.89358E-03 1.04891E-02 7.72846E-03 0.042485 5 4 50.0 45.0 135.0 4.74964E-02 8.47127E-03 1.97276E-03 1.04440E-02 7.61678E-03 0.041535 5 7 50.0 90.0 90.0 6.31345E-02 8.35243E-03 2.55040E-03 1.09028E-02 7.50992E-03 0.040396 4 1 60.0 0.0 180.0 5.29064E-02 8.54066E-03 4.41116E-03 1.29518E-02 7.67917E-03 0.083377 4 4 60.0 45.0 135.0 5.41038E-02 8.40021E-03 4.35594E-03 1.27561E-02 7.55288E-03 0.080511 4 7 60.0 90.0 90.0 6.68111E-02 8.38672E-03 5.08675E-03 1.34735E-02 7.54075E-03 0.076136 3 1 70.0 0.0 180.0 7.34081E-02 7.98683E-03 1.21848E-02 2.01716E-02 7.18120E-03 0.165987 3 4 70.0 45.0 135.0 7.13419E-02 7.93590E-03 1.17240E-02 1.96599E-02 7.13541E-03 0.164336 3 7 70.0 90.0 90.0 7.97586E-02 7.93029E-03 1.27493E-02 2.06796E-02 7.13036E-03 0.159849 2 1 80.0 0.0 180.0 1.24721E-01 6.88505E-03 3.02878E-02 3.71728E-02 6.19056E-03 0.242843 2 4 80.0 45.0 135.0 1.15490E-01 6.82113E-03 2.92945E-02 3.61157E-02 6.13308E-03 0.253655 2 7 80.0 90.0 90.0 1.14740E-01 6.82345E-03 3.06794E-02 3.75028E-02 6.13517E-03 0.267382 1 1 87.5 0.0 180.0 2.01652E-01 5.57315E-03 5.34167E-02 5.89898E-02 5.01099E-03 0.264896 1 4 87.5 45.0 135.0 1.81562E-01 5.25422E-03 5.30869E-02 5.83411E-02 4.72422E-03 0.292389 1 7 87.5 90.0 90.0 1.65182E-01 5.81992E-03 5.43309E-02 6.01508E-02 5.23286E-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 1.417E-02 1.066E-01 1.303E-01 1.127E-01 1.681E-01 1.274E-02 4.659E+00 7.807E-03 7.020E-03 1 0.00 0.00 1.448E-02 1.985E-01 2.841E-02 3.171E-02 4.113E-02 1.311E-02 4.072E+00 3 1.72 5.00 9.325E-03 2.841E-01 2.136E-02 2.609E-02 3.893E-02 1.257E-02 4.361E+00 5 3.99 10.00 5.132E-03 2.365E-01 1.362E-02 1.699E-02 2.505E-02 1.209E-02 4.562E+00 7 7.17 15.00 2.309E-03 1.271E-01 6.701E-03 8.249E-03 1.142E-02 1.225E-02 4.615E+00 9 10.53 20.00 1.075E-03 5.603E-02 3.127E-03 3.688E-03 4.692E-03 1.374E-02 4.491E+00 11 12.77 25.00 6.546E-04 3.112E-02 1.919E-03 2.173E-03 2.596E-03 1.522E-02 4.440E+00 Waveband 3 of 30 completed in 3.8 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 109.9 m at 435.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 430.0 nm to 440.0 nm: Ed(diffuse) = 3.941E-01 Ed(direct) = 7.511E-01 Ed(total) = 1.145E+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 0.0382 0.0082 0.0517 3 1.694 5.000 0.0053 0.0476 0.0102 0.0631 5 3.931 10.000 0.0053 0.0675 0.0145 0.0873 7 7.066 15.000 0.0053 0.0972 0.0208 0.1233 9 10.380 20.000 0.0053 0.0781 0.0168 0.1001 11 12.592 25.000 0.0053 0.0331 0.0071 0.0455 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 0.2468 0.0000 0.2521 3 1.694 5.000 0.0053 0.3041 0.0000 0.3093 5 3.931 10.000 0.0053 0.4247 0.0000 0.4300 7 7.066 15.000 0.0053 0.6009 0.0000 0.6061 9 10.380 20.000 0.0053 0.4877 0.0000 0.4930 11 12.592 25.000 0.0053 0.2149 0.0000 0.2202 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 0.00494 0.00000 0.00757 3 1.694 5.000 0.00264 0.00608 0.00000 0.00872 5 3.931 10.000 0.00264 0.00849 0.00000 0.01113 7 7.066 15.000 0.00264 0.01202 0.00000 0.01465 9 10.380 20.000 0.00264 0.00975 0.00000 0.01239 11 12.592 25.000 0.00264 0.00430 0.00000 0.00693 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 0.0517 0.2521 0.3038 0.8297 0.00757 0.03004 3 1.694 5.000 0.0631 0.3093 0.3724 0.8306 0.00872 0.02818 5 3.931 10.000 0.0873 0.4300 0.5173 0.8312 0.01113 0.02589 7 7.066 15.000 0.1233 0.6061 0.7295 0.8309 0.01465 0.02418 9 10.380 20.000 0.1001 0.4930 0.5931 0.8312 0.01239 0.02513 11 12.592 25.000 0.0455 0.2202 0.2657 0.8288 0.00693 0.03149 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4237E-01 8 20.00 8.0497E-01 7 30.00 6.2821E-01 6 40.00 4.5607E-01 5 50.00 3.1477E-01 4 60.00 2.1149E-01 3 70.00 1.4156E-01 2 80.00 9.6619E-02 1 87.50 7.3683E-02 1 92.50 6.1366E-02 2 100.00 4.8834E-02 3 110.00 3.7711E-02 4 120.00 3.0495E-02 5 130.00 2.5850E-02 6 140.00 2.2864E-02 7 150.00 2.0966E-02 8 160.00 1.9809E-02 9 170.00 1.9185E-02 10 180.00 1.8963E-02 Asymptotic AOP values are MUu(inf) = 0.3969 MUd(inf) = 0.7078 MU(inf) = 0.5969 R(inf) = 0.0626 Lu(inf)/Ed(inf) = 0.013920 (1/sr) k(inf) = 0.0762 (1/m) absorp(check) = 0.0455 = 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 1.7416E-01 1.6630E+00 1.8372E+00 6.5393E-02 1.1452E+00 0.3755 0.6887 0.5878 5.7100E-02 1 0.00 0.00 1.3065E-01 1.3408E+00 1.4715E+00 5.5977E-02 1.1358E+00 0.4284 0.8471 0.7338 4.9284E-02 3 1.69 5.00 9.4216E-02 9.5930E-01 1.0535E+00 3.8394E-02 7.5581E-01 0.4075 0.7879 0.6810 5.0799E-02 5 3.93 10.00 5.5441E-02 5.6856E-01 6.2400E-01 2.1927E-02 4.2793E-01 0.3955 0.7527 0.6506 5.1240E-02 7 7.07 15.00 2.5156E-02 2.5631E-01 2.8146E-01 9.8357E-03 1.8719E-01 0.3910 0.7303 0.6301 5.2544E-02 9 10.38 20.00 1.1032E-02 1.0636E-01 1.1740E-01 4.3637E-03 7.6497E-02 0.3956 0.7192 0.6144 5.7045E-02 11 12.59 25.00 6.4804E-03 5.8235E-02 6.4716E-02 2.5836E-03 4.1589E-02 0.3987 0.7141 0.6027 6.2123E-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 0.04971 0.05345 0.05312 0.06036 0.07001 0.07051 0.07679 5.000 5.010 5.005 0.08369 0.08172 0.08189 0.09092 0.09259 0.09268 0.10185 10.000 10.010 10.005 0.12904 0.12685 0.12705 0.13352 0.13423 0.13427 0.14018 15.000 15.010 15.005 0.18194 0.19033 0.18958 0.18169 0.19492 0.19566 0.17954 20.000 20.010 20.005 0.14313 0.15955 0.15801 0.13916 0.16153 0.16288 0.13287 25.000 25.010 25.005 0.07411 0.07447 0.07443 0.07468 0.07538 0.07543 0.07526 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 1.06352E-01 7.38932E-03 6.53260E-03 1.39219E-02 6.45216E-03 0.061424 9 1 10.0 0.0 180.0 6.56236E-02 7.55649E-03 2.17326E-03 9.72975E-03 6.59812E-03 0.033117 9 4 10.0 45.0 135.0 7.21027E-02 7.50936E-03 2.49712E-03 1.00065E-02 6.55697E-03 0.034633 9 7 10.0 90.0 90.0 9.74167E-02 7.45861E-03 4.85723E-03 1.23158E-02 6.51265E-03 0.049860 8 1 20.0 0.0 180.0 5.15465E-02 7.67054E-03 1.24935E-03 8.91989E-03 6.69770E-03 0.024237 8 4 20.0 45.0 135.0 5.73851E-02 7.56831E-03 1.45883E-03 9.02714E-03 6.60844E-03 0.025422 8 7 20.0 90.0 90.0 8.43821E-02 7.50360E-03 3.02862E-03 1.05322E-02 6.55194E-03 0.035892 7 1 30.0 0.0 180.0 4.46936E-02 7.82656E-03 1.07588E-03 8.90244E-03 6.83394E-03 0.024072 7 4 30.0 45.0 135.0 4.95441E-02 7.77919E-03 1.20740E-03 8.98659E-03 6.79258E-03 0.024370 7 7 30.0 90.0 90.0 7.23006E-02 7.65829E-03 2.02450E-03 9.68279E-03 6.68701E-03 0.028001 6 1 40.0 0.0 180.0 4.24226E-02 7.96473E-03 1.19625E-03 9.16098E-03 6.95459E-03 0.028198 6 4 40.0 45.0 135.0 4.63869E-02 7.89588E-03 1.29740E-03 9.19328E-03 6.89447E-03 0.027969 6 7 40.0 90.0 90.0 6.51265E-02 7.77179E-03 1.87573E-03 9.64752E-03 6.78612E-03 0.028801 5 1 50.0 0.0 180.0 4.44787E-02 8.13471E-03 1.88966E-03 1.00244E-02 7.10301E-03 0.042485 5 4 50.0 45.0 135.0 4.73981E-02 8.01535E-03 1.96868E-03 9.98403E-03 6.99879E-03 0.041535 5 7 50.0 90.0 90.0 6.30038E-02 7.90233E-03 2.54512E-03 1.04475E-02 6.90010E-03 0.040396 4 1 60.0 0.0 180.0 5.27970E-02 8.08184E-03 4.40203E-03 1.24839E-02 7.05685E-03 0.083377 4 4 60.0 45.0 135.0 5.39918E-02 7.94736E-03 4.34692E-03 1.22943E-02 6.93942E-03 0.080511 4 7 60.0 90.0 90.0 6.66728E-02 7.93574E-03 5.07622E-03 1.30120E-02 6.92928E-03 0.076136 3 1 70.0 0.0 180.0 7.32562E-02 7.55720E-03 1.21596E-02 1.97168E-02 6.59874E-03 0.165987 3 4 70.0 45.0 135.0 7.11943E-02 7.50808E-03 1.16998E-02 1.92078E-02 6.55585E-03 0.164336 3 7 70.0 90.0 90.0 7.95935E-02 7.50648E-03 1.27229E-02 2.02294E-02 6.55446E-03 0.159849 2 1 80.0 0.0 180.0 1.24463E-01 6.51458E-03 3.02251E-02 3.67397E-02 5.68836E-03 0.242843 2 4 80.0 45.0 135.0 1.15251E-01 6.45385E-03 2.92339E-02 3.56878E-02 5.63533E-03 0.253655 2 7 80.0 90.0 90.0 1.14502E-01 6.46152E-03 3.06159E-02 3.70774E-02 5.64202E-03 0.267382 1 1 87.5 0.0 180.0 2.01234E-01 5.27368E-03 5.33061E-02 5.85798E-02 4.60483E-03 0.264896 1 4 87.5 45.0 135.0 1.81187E-01 4.97222E-03 5.29770E-02 5.79492E-02 4.34160E-03 0.292389 1 7 87.5 90.0 90.0 1.64840E-01 5.51450E-03 5.42185E-02 5.97330E-02 4.81512E-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 1.392E-02 1.064E-01 1.299E-01 1.123E-01 1.676E-01 1.216E-02 4.697E+00 7.389E-03 6.452E-03 1 0.00 0.00 1.371E-02 1.981E-01 2.698E-02 3.029E-02 3.972E-02 1.207E-02 4.084E+00 3 1.69 5.00 8.777E-03 2.852E-01 2.024E-02 2.491E-02 3.763E-02 1.161E-02 4.375E+00 5 3.93 10.00 4.790E-03 2.373E-01 1.280E-02 1.609E-02 2.401E-02 1.119E-02 4.578E+00 7 7.07 15.00 2.120E-03 1.269E-01 6.222E-03 7.716E-03 1.081E-02 1.133E-02 4.639E+00 9 10.38 20.00 9.649E-04 5.550E-02 2.856E-03 3.394E-03 4.367E-03 1.261E-02 4.522E+00 11 12.59 25.00 5.784E-04 3.060E-02 1.726E-03 1.968E-03 2.378E-03 1.391E-02 4.467E+00 Waveband 4 of 30 completed in 3.8 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 109.9 m at 445.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 440.0 nm to 450.0 nm: Ed(diffuse) = 4.530E-01 Ed(direct) = 8.990E-01 Ed(total) = 1.352E+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 0.0371 0.0071 0.0517 3 1.659 5.000 0.0075 0.0462 0.0089 0.0625 5 3.846 10.000 0.0075 0.0655 0.0126 0.0856 7 6.908 15.000 0.0075 0.0943 0.0181 0.1199 9 10.144 20.000 0.0075 0.0757 0.0146 0.0978 11 12.307 25.000 0.0075 0.0321 0.0062 0.0458 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 0.2413 0.0000 0.2460 3 1.659 5.000 0.0048 0.2972 0.0000 0.3020 5 3.846 10.000 0.0048 0.4152 0.0000 0.4199 7 6.908 15.000 0.0048 0.5874 0.0000 0.5921 9 10.144 20.000 0.0048 0.4768 0.0000 0.4815 11 12.307 25.000 0.0048 0.2101 0.0000 0.2149 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 0.00483 0.00000 0.00721 3 1.659 5.000 0.00239 0.00594 0.00000 0.00833 5 3.846 10.000 0.00239 0.00830 0.00000 0.01069 7 6.908 15.000 0.00239 0.01175 0.00000 0.01414 9 10.144 20.000 0.00239 0.00954 0.00000 0.01192 11 12.307 25.000 0.00239 0.00420 0.00000 0.00659 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 0.0517 0.2460 0.2978 0.8263 0.00721 0.02932 3 1.659 5.000 0.0625 0.3020 0.3645 0.8284 0.00833 0.02760 5 3.846 10.000 0.0856 0.4199 0.5056 0.8306 0.01069 0.02546 7 6.908 15.000 0.1199 0.5921 0.7120 0.8316 0.01414 0.02387 9 10.144 20.000 0.0978 0.4815 0.5794 0.8312 0.01192 0.02476 11 12.307 25.000 0.0458 0.2149 0.2606 0.8244 0.00659 0.03068 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4130E-01 8 20.00 8.0164E-01 7 30.00 6.2270E-01 6 40.00 4.4942E-01 5 50.00 3.0812E-01 4 60.00 2.0558E-01 3 70.00 1.3666E-01 2 80.00 9.2669E-02 1 87.50 7.0349E-02 1 92.50 5.8414E-02 2 100.00 4.6309E-02 3 110.00 3.5607E-02 4 120.00 2.8692E-02 5 130.00 2.4258E-02 6 140.00 2.1416E-02 7 150.00 1.9615E-02 8 160.00 1.8519E-02 9 170.00 1.7929E-02 10 180.00 1.7718E-02 Asymptotic AOP values are MUu(inf) = 0.3953 MUd(inf) = 0.7109 MU(inf) = 0.6039 R(inf) = 0.0596 Lu(inf)/Ed(inf) = 0.013165 (1/sr) k(inf) = 0.0758 (1/m) absorp(check) = 0.0458 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 445.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.0082E-01 1.9528E+00 2.1536E+00 7.5767E-02 1.3520E+00 0.3773 0.6924 0.5926 5.6041E-02 1 0.00 0.00 1.4918E-01 1.5781E+00 1.7273E+00 6.3882E-02 1.3401E+00 0.4282 0.8492 0.7389 4.7669E-02 3 1.66 5.00 1.0913E-01 1.1339E+00 1.2430E+00 4.4485E-02 8.9651E-01 0.4076 0.7907 0.6855 4.9620E-02 5 3.85 10.00 6.5715E-02 6.8076E-01 7.4647E-01 2.5992E-02 5.1390E-01 0.3955 0.7549 0.6536 5.0578E-02 7 6.91 15.00 3.0699E-02 3.1454E-01 3.4524E-01 1.1979E-02 2.3010E-01 0.3902 0.7316 0.6318 5.2059E-02 9 10.14 20.00 1.3644E-02 1.3390E-01 1.4755E-01 5.3645E-03 9.6415E-02 0.3932 0.7200 0.6171 5.5640E-02 11 12.31 25.00 7.9170E-03 7.4083E-02 8.2000E-02 3.1398E-03 5.3022E-02 0.3966 0.7157 0.6083 5.9218E-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 0.04738 0.05318 0.05268 0.05800 0.06944 0.07002 0.07427 5.000 5.010 5.005 0.07973 0.08021 0.08017 0.08698 0.09105 0.09126 0.09803 10.000 10.010 10.005 0.12351 0.12331 0.12333 0.12815 0.13089 0.13103 0.13524 15.000 15.010 15.005 0.17702 0.18419 0.18356 0.17740 0.18906 0.18970 0.17633 20.000 20.010 20.005 0.14349 0.15544 0.15434 0.14039 0.15741 0.15841 0.13450 25.000 25.010 25.005 0.07450 0.07469 0.07468 0.07476 0.07518 0.07520 0.07510 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 1.22238E-01 8.42474E-03 7.69016E-03 1.61149E-02 6.23127E-03 0.062911 9 1 10.0 0.0 180.0 7.54258E-02 8.61224E-03 2.52228E-03 1.11345E-02 6.36995E-03 0.033441 9 4 10.0 45.0 135.0 8.28726E-02 8.55937E-03 2.90151E-03 1.14609E-02 6.33085E-03 0.035012 9 7 10.0 90.0 90.0 1.11968E-01 8.50379E-03 5.69522E-03 1.41990E-02 6.28974E-03 0.050865 8 1 20.0 0.0 180.0 5.92460E-02 8.74032E-03 1.43720E-03 1.01775E-02 6.46469E-03 0.024258 8 4 20.0 45.0 135.0 6.59567E-02 8.62521E-03 1.67993E-03 1.03051E-02 6.37954E-03 0.025470 8 7 20.0 90.0 90.0 9.69862E-02 8.55532E-03 3.52378E-03 1.20791E-02 6.32785E-03 0.036333 7 1 30.0 0.0 180.0 5.13694E-02 8.91627E-03 1.23659E-03 1.01529E-02 6.59483E-03 0.024072 7 4 30.0 45.0 135.0 5.69454E-02 8.86422E-03 1.38790E-03 1.02521E-02 6.55633E-03 0.024372 7 7 30.0 90.0 90.0 8.30944E-02 8.73204E-03 2.33532E-03 1.10674E-02 6.45856E-03 0.028104 6 1 40.0 0.0 180.0 4.87593E-02 9.07122E-03 1.37493E-03 1.04462E-02 6.70943E-03 0.028198 6 4 40.0 45.0 135.0 5.33157E-02 8.99541E-03 1.49119E-03 1.04866E-02 6.65336E-03 0.027969 6 7 40.0 90.0 90.0 7.48544E-02 8.86209E-03 2.15646E-03 1.10185E-02 6.55475E-03 0.028809 5 1 50.0 0.0 180.0 5.11225E-02 9.26251E-03 2.17192E-03 1.14344E-02 6.85091E-03 0.042485 5 4 50.0 45.0 135.0 5.44779E-02 9.12988E-03 2.26274E-03 1.13926E-02 6.75282E-03 0.041535 5 7 50.0 90.0 90.0 7.24147E-02 9.01159E-03 2.92529E-03 1.19369E-02 6.66533E-03 0.040396 4 1 60.0 0.0 180.0 6.06832E-02 9.19995E-03 5.05956E-03 1.42595E-02 6.80465E-03 0.083377 4 4 60.0 45.0 135.0 6.20566E-02 9.05078E-03 4.99622E-03 1.40470E-02 6.69431E-03 0.080511 4 7 60.0 90.0 90.0 7.66317E-02 9.05035E-03 5.83446E-03 1.48848E-02 6.69400E-03 0.076136 3 1 70.0 0.0 180.0 8.41984E-02 8.60019E-03 1.39759E-02 2.25760E-02 6.36104E-03 0.165987 3 4 70.0 45.0 135.0 8.18286E-02 8.54871E-03 1.34474E-02 2.19961E-02 6.32296E-03 0.164336 3 7 70.0 90.0 90.0 9.14824E-02 8.56147E-03 1.46234E-02 2.31848E-02 6.33240E-03 0.159849 2 1 80.0 0.0 180.0 1.43054E-01 7.41163E-03 3.47398E-02 4.21514E-02 5.48193E-03 0.242843 2 4 80.0 45.0 135.0 1.32466E-01 7.34689E-03 3.36006E-02 4.09475E-02 5.43405E-03 0.253655 2 7 80.0 90.0 90.0 1.31606E-01 7.37013E-03 3.51890E-02 4.25591E-02 5.45124E-03 0.267382 1 1 87.5 0.0 180.0 2.31293E-01 5.99817E-03 6.12685E-02 6.72666E-02 4.43649E-03 0.264896 1 4 87.5 45.0 135.0 2.08251E-01 5.65913E-03 6.08902E-02 6.65493E-02 4.18572E-03 0.292389 1 7 87.5 90.0 90.0 1.89462E-01 6.29031E-03 6.23171E-02 6.86074E-02 4.65256E-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 1.611E-02 1.222E-01 1.493E-01 1.290E-01 1.926E-01 1.192E-02 4.702E+00 8.425E-03 6.231E-03 1 0.00 0.00 1.563E-02 2.277E-01 3.064E-02 3.457E-02 4.567E-02 1.166E-02 4.088E+00 3 1.66 5.00 1.016E-02 3.327E-01 2.325E-02 2.877E-02 4.379E-02 1.134E-02 4.377E+00 5 3.85 10.00 5.669E-03 2.821E-01 1.505E-02 1.901E-02 2.859E-02 1.103E-02 4.585E+00 7 6.91 15.00 2.568E-03 1.552E-01 7.555E-03 9.421E-03 1.331E-02 1.116E-02 4.665E+00 9 10.14 20.00 1.174E-03 6.981E-02 3.544E-03 4.238E-03 5.505E-03 1.217E-02 4.571E+00 11 12.31 25.00 6.978E-04 3.904E-02 2.122E-03 2.437E-03 2.974E-03 1.316E-02 4.499E+00 Waveband 5 of 30 completed in 3.7 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 109.9 m at 455.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 450.0 nm to 460.0 nm: Ed(diffuse) = 4.729E-01 Ed(direct) = 9.738E-01 Ed(total) = 1.447E+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 0.0352 0.0062 0.0510 3 1.622 5.000 0.0096 0.0438 0.0077 0.0611 5 3.757 10.000 0.0096 0.0621 0.0110 0.0827 7 6.741 15.000 0.0096 0.0894 0.0158 0.1148 9 9.893 20.000 0.0096 0.0718 0.0127 0.0941 11 12.005 25.000 0.0096 0.0304 0.0054 0.0454 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 0.2360 0.0000 0.2403 3 1.622 5.000 0.0043 0.2907 0.0000 0.2950 5 3.757 10.000 0.0043 0.4060 0.0000 0.4104 7 6.741 15.000 0.0043 0.5744 0.0000 0.5788 9 9.893 20.000 0.0043 0.4663 0.0000 0.4706 11 12.005 25.000 0.0043 0.2055 0.0000 0.2098 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 0.00472 0.00000 0.00689 3 1.622 5.000 0.00217 0.00581 0.00000 0.00798 5 3.757 10.000 0.00217 0.00812 0.00000 0.01029 7 6.741 15.000 0.00217 0.01149 0.00000 0.01366 9 9.893 20.000 0.00217 0.00933 0.00000 0.01150 11 12.005 25.000 0.00217 0.00411 0.00000 0.00628 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 0.0510 0.2403 0.2913 0.8249 0.00689 0.02867 3 1.622 5.000 0.0611 0.2950 0.3561 0.8284 0.00798 0.02706 5 3.757 10.000 0.0827 0.4104 0.4931 0.8323 0.01029 0.02508 7 6.741 15.000 0.1148 0.5788 0.6936 0.8345 0.01366 0.02360 9 9.893 20.000 0.0941 0.4706 0.5648 0.8333 0.01150 0.02443 11 12.005 25.000 0.0454 0.2098 0.2552 0.8221 0.00628 0.02993 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4073E-01 8 20.00 7.9989E-01 7 30.00 6.1978E-01 6 40.00 4.4586E-01 5 50.00 3.0453E-01 4 60.00 2.0235E-01 3 70.00 1.3394E-01 2 80.00 9.0437E-02 1 87.50 6.8436E-02 1 92.50 5.6700E-02 2 100.00 4.4820E-02 3 110.00 3.4341E-02 4 120.00 2.7588E-02 5 130.00 2.3268E-02 6 140.00 2.0503E-02 7 150.00 1.8754E-02 8 160.00 1.7691E-02 9 170.00 1.7119E-02 10 180.00 1.6916E-02 Asymptotic AOP values are MUu(inf) = 0.3939 MUd(inf) = 0.7126 MU(inf) = 0.6083 R(inf) = 0.0576 Lu(inf)/Ed(inf) = 0.012652 (1/sr) k(inf) = 0.0747 (1/m) absorp(check) = 0.0454 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 455.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.1117E-01 2.0796E+00 2.2907E+00 8.0155E-02 1.4468E+00 0.3796 0.6957 0.5966 5.5403E-02 1 0.00 0.00 1.5703E-01 1.6859E+00 1.8429E+00 6.7261E-02 1.4338E+00 0.4283 0.8505 0.7415 4.6909E-02 3 1.62 5.00 1.1703E-01 1.2220E+00 1.3391E+00 4.7765E-02 9.6861E-01 0.4081 0.7926 0.6877 4.9313E-02 5 3.76 10.00 7.2560E-02 7.4781E-01 8.2037E-01 2.8730E-02 5.6550E-01 0.3959 0.7562 0.6543 5.0805E-02 7 6.74 15.00 3.5200E-02 3.5722E-01 3.9242E-01 1.3720E-02 2.6138E-01 0.3898 0.7317 0.6311 5.2490E-02 9 9.89 20.00 1.5998E-02 1.5744E-01 1.7344E-01 6.2562E-03 1.1331E-01 0.3911 0.7197 0.6172 5.5215E-02 11 12.00 25.00 9.2213E-03 8.8555E-02 9.7777E-02 3.6403E-03 6.3408E-02 0.3948 0.7160 0.6113 5.7412E-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 0.04461 0.05226 0.05161 0.05494 0.06810 0.06875 0.07093 5.000 5.010 5.005 0.07476 0.07767 0.07742 0.08202 0.08852 0.08886 0.09317 10.000 10.010 10.005 0.11655 0.11834 0.11819 0.12137 0.12616 0.12641 0.12891 15.000 15.010 15.005 0.17014 0.17604 0.17551 0.17117 0.18121 0.18177 0.17121 20.000 20.010 20.005 0.14227 0.14970 0.14901 0.14008 0.15168 0.15236 0.13463 25.000 25.010 25.005 0.07415 0.07416 0.07416 0.07410 0.07424 0.07425 0.07420 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 1.27614E-01 8.86568E-03 8.20805E-03 1.70737E-02 6.12798E-03 0.064320 9 1 10.0 0.0 180.0 7.87429E-02 9.05830E-03 2.65733E-03 1.17156E-02 6.26112E-03 0.033747 9 4 10.0 45.0 135.0 8.65172E-02 9.00409E-03 3.06015E-03 1.20642E-02 6.22365E-03 0.035370 9 7 10.0 90.0 90.0 1.16892E-01 8.94920E-03 6.05687E-03 1.50061E-02 6.18571E-03 0.051816 8 1 20.0 0.0 180.0 6.18514E-02 9.19043E-03 1.50162E-03 1.06921E-02 6.35245E-03 0.024278 8 4 20.0 45.0 135.0 6.88573E-02 9.07170E-03 1.75697E-03 1.08287E-02 6.27038E-03 0.025516 8 7 20.0 90.0 90.0 1.01251E-01 9.00418E-03 3.72103E-03 1.27252E-02 6.22371E-03 0.036750 7 1 30.0 0.0 180.0 5.36285E-02 9.37315E-03 1.29097E-03 1.06641E-02 6.47874E-03 0.024072 7 4 30.0 45.0 135.0 5.94506E-02 9.32165E-03 1.44909E-03 1.07707E-02 6.44315E-03 0.024375 7 7 30.0 90.0 90.0 8.67430E-02 9.19113E-03 2.44633E-03 1.16375E-02 6.35293E-03 0.028202 6 1 40.0 0.0 180.0 5.09036E-02 9.53336E-03 1.43540E-03 1.09688E-02 6.58948E-03 0.028198 6 4 40.0 45.0 135.0 5.56604E-02 9.45800E-03 1.55677E-03 1.10148E-02 6.53739E-03 0.027969 6 7 40.0 90.0 90.0 7.81463E-02 9.32950E-03 2.25184E-03 1.15813E-02 6.44857E-03 0.028816 5 1 50.0 0.0 180.0 5.33708E-02 9.73202E-03 2.26743E-03 1.19995E-02 6.72680E-03 0.042485 5 4 50.0 45.0 135.0 5.68737E-02 9.59788E-03 2.36225E-03 1.19601E-02 6.63408E-03 0.041535 5 7 50.0 90.0 90.0 7.55993E-02 9.48798E-03 3.05393E-03 1.25419E-02 6.55811E-03 0.040396 4 1 60.0 0.0 180.0 6.33519E-02 9.66387E-03 5.28206E-03 1.49459E-02 6.67969E-03 0.083377 4 4 60.0 45.0 135.0 6.47857E-02 9.51316E-03 5.21594E-03 1.47291E-02 6.57552E-03 0.080511 4 7 60.0 90.0 90.0 8.00018E-02 9.52966E-03 6.09104E-03 1.56207E-02 6.58693E-03 0.076136 3 1 70.0 0.0 180.0 8.79013E-02 9.03114E-03 1.45905E-02 2.36216E-02 6.24234E-03 0.165987 3 4 70.0 45.0 135.0 8.54272E-02 8.98347E-03 1.40387E-02 2.30222E-02 6.20940E-03 0.164336 3 7 70.0 90.0 90.0 9.55055E-02 9.01518E-03 1.52665E-02 2.42817E-02 6.23132E-03 0.159849 2 1 80.0 0.0 180.0 1.49346E-01 7.78068E-03 3.62676E-02 4.40482E-02 5.37802E-03 0.242843 2 4 80.0 45.0 135.0 1.38291E-01 7.71877E-03 3.50783E-02 4.27970E-02 5.33523E-03 0.253655 2 7 80.0 90.0 90.0 1.37393E-01 7.76065E-03 3.67365E-02 4.44971E-02 5.36418E-03 0.267382 1 1 87.5 0.0 180.0 2.41464E-01 6.29475E-03 6.39629E-02 7.02576E-02 4.35095E-03 0.264896 1 4 87.5 45.0 135.0 2.17409E-01 5.94403E-03 6.35680E-02 6.95120E-02 4.10853E-03 0.292389 1 7 87.5 90.0 90.0 1.97794E-01 6.62313E-03 6.50577E-02 7.16808E-02 4.57793E-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 1.707E-02 1.276E-01 1.559E-01 1.347E-01 2.011E-01 1.180E-02 4.695E+00 8.866E-03 6.128E-03 1 0.00 0.00 1.645E-02 2.377E-01 3.207E-02 3.634E-02 4.828E-02 1.147E-02 4.090E+00 3 1.62 5.00 1.091E-02 3.534E-01 2.468E-02 3.067E-02 4.695E-02 1.127E-02 4.376E+00 5 3.76 10.00 6.260E-03 3.067E-01 1.645E-02 2.087E-02 3.156E-02 1.107E-02 4.589E+00 7 6.74 15.00 2.926E-03 1.749E-01 8.607E-03 1.078E-02 1.534E-02 1.120E-02 4.688E+00 9 9.89 20.00 1.355E-03 8.155E-02 4.162E-03 5.005E-03 6.558E-03 1.196E-02 4.618E+00 11 12.00 25.00 8.034E-04 4.650E-02 2.483E-03 2.871E-03 3.537E-03 1.267E-02 4.531E+00 Waveband 6 of 30 completed in 3.6 sec. * * * * * Output for wavelength band 7 (460.0 to 470.0 nm; nominal wavelength = 465.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 109.9 m at 465.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 460.0 nm to 470.0 nm: Ed(diffuse) = 4.602E-01 Ed(direct) = 9.804E-01 Ed(total) = 1.441E+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 0.0344 0.0054 0.0499 3 1.585 5.000 0.0101 0.0428 0.0067 0.0596 5 3.671 10.000 0.0101 0.0608 0.0095 0.0804 7 6.585 15.000 0.0101 0.0875 0.0137 0.1113 9 9.664 20.000 0.0101 0.0703 0.0110 0.0914 11 11.727 25.000 0.0101 0.0298 0.0047 0.0445 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 0.2309 0.0000 0.2348 3 1.585 5.000 0.0040 0.2844 0.0000 0.2884 5 3.671 10.000 0.0040 0.3973 0.0000 0.4013 7 6.585 15.000 0.0040 0.5621 0.0000 0.5660 9 9.664 20.000 0.0040 0.4563 0.0000 0.4602 11 11.727 25.000 0.0040 0.2011 0.0000 0.2050 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 0.00462 0.00000 0.00659 3 1.585 5.000 0.00198 0.00569 0.00000 0.00767 5 3.671 10.000 0.00198 0.00795 0.00000 0.00992 7 6.585 15.000 0.00198 0.01124 0.00000 0.01322 9 9.664 20.000 0.00198 0.00913 0.00000 0.01110 11 11.727 25.000 0.00198 0.00402 0.00000 0.00600 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 0.0499 0.2348 0.2848 0.8247 0.00659 0.02808 3 1.585 5.000 0.0596 0.2884 0.3480 0.8286 0.00767 0.02658 5 3.671 10.000 0.0804 0.4013 0.4817 0.8330 0.00992 0.02473 7 6.585 15.000 0.1113 0.5660 0.6773 0.8357 0.01322 0.02335 9 9.664 20.000 0.0914 0.4602 0.5516 0.8343 0.01110 0.02412 11 11.727 25.000 0.0445 0.2050 0.2495 0.8215 0.00600 0.02925 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4061E-01 8 20.00 7.9948E-01 7 30.00 6.1906E-01 6 40.00 4.4492E-01 5 50.00 3.0350E-01 4 60.00 2.0133E-01 3 70.00 1.3299E-01 2 80.00 8.9582E-02 1 87.50 6.7654E-02 1 92.50 5.5966E-02 2 100.00 4.4145E-02 3 110.00 3.3730E-02 4 120.00 2.7026E-02 5 130.00 2.2741E-02 6 140.00 2.0002E-02 7 150.00 1.8270E-02 8 160.00 1.7217E-02 9 170.00 1.6651E-02 10 180.00 1.6450E-02 Asymptotic AOP values are MUu(inf) = 0.3926 MUd(inf) = 0.7133 MU(inf) = 0.6105 R(inf) = 0.0564 Lu(inf)/Ed(inf) = 0.012328 (1/sr) k(inf) = 0.0730 (1/m) absorp(check) = 0.0445 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 465.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.0775E-01 2.0615E+00 2.2692E+00 7.9427E-02 1.4405E+00 0.3823 0.6988 0.5998 5.5137E-02 1 0.00 0.00 1.5646E-01 1.6780E+00 1.8345E+00 6.7031E-02 1.4281E+00 0.4284 0.8511 0.7419 4.6936E-02 3 1.59 5.00 1.1802E-01 1.2287E+00 1.3467E+00 4.8216E-02 9.7543E-01 0.4085 0.7939 0.6885 4.9430E-02 5 3.67 10.00 7.4580E-02 7.6450E-01 8.3908E-01 2.9560E-02 5.7887E-01 0.3964 0.7572 0.6547 5.1065E-02 7 6.59 15.00 3.7152E-02 3.7453E-01 4.1168E-01 1.4486E-02 2.7419E-01 0.3899 0.7321 0.6308 5.2831E-02 9 9.66 20.00 1.7278E-02 1.6951E-01 1.8679E-01 6.7495E-03 1.2199E-01 0.3906 0.7197 0.6170 5.5327E-02 11 11.73 25.00 1.0055E-02 9.6923E-02 1.0698E-01 3.9643E-03 6.9401E-02 0.3942 0.7160 0.6117 5.7122E-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 0.04304 0.05085 0.05018 0.05302 0.06630 0.06696 0.06863 5.000 5.010 5.005 0.07169 0.07512 0.07482 0.07890 0.08594 0.08630 0.08997 10.000 10.010 10.005 0.11207 0.11431 0.11411 0.11693 0.12223 0.12252 0.12454 15.000 15.010 15.005 0.16450 0.17007 0.16957 0.16578 0.17542 0.17595 0.16621 20.000 20.010 20.005 0.13888 0.14507 0.14450 0.13702 0.14711 0.14770 0.13190 25.000 25.010 25.005 0.07252 0.07248 0.07249 0.07240 0.07247 0.07247 0.07246 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 1.24169E-01 8.82999E-03 8.15369E-03 1.69837E-02 6.12966E-03 0.065666 9 1 10.0 0.0 180.0 7.66173E-02 9.01628E-03 2.60804E-03 1.16243E-02 6.25898E-03 0.034040 9 4 10.0 45.0 135.0 8.41817E-02 8.96405E-03 3.00643E-03 1.19705E-02 6.22273E-03 0.035714 9 7 10.0 90.0 90.0 1.13736E-01 8.91362E-03 5.99682E-03 1.49104E-02 6.18772E-03 0.052726 8 1 20.0 0.0 180.0 6.01818E-02 9.14483E-03 1.46222E-03 1.06070E-02 6.34822E-03 0.024297 8 4 20.0 45.0 135.0 6.69986E-02 9.02956E-03 1.71248E-03 1.07420E-02 6.26820E-03 0.025560 8 7 20.0 90.0 90.0 9.85182E-02 8.96928E-03 3.65993E-03 1.26292E-02 6.22636E-03 0.037150 7 1 30.0 0.0 180.0 5.21809E-02 9.32418E-03 1.25612E-03 1.05803E-02 6.47272E-03 0.024072 7 4 30.0 45.0 135.0 5.78467E-02 9.27698E-03 1.41011E-03 1.06871E-02 6.43996E-03 0.024377 7 7 30.0 90.0 90.0 8.43961E-02 9.15667E-03 2.38804E-03 1.15447E-02 6.35644E-03 0.028296 6 1 40.0 0.0 180.0 4.95295E-02 9.48126E-03 1.39665E-03 1.08779E-02 6.58176E-03 0.028198 6 4 40.0 45.0 135.0 5.41579E-02 9.41161E-03 1.51475E-03 1.09264E-02 6.53342E-03 0.027969 6 7 40.0 90.0 90.0 7.60368E-02 9.29641E-03 2.19156E-03 1.14880E-02 6.45344E-03 0.028822 5 1 50.0 0.0 180.0 5.19301E-02 9.67755E-03 2.20623E-03 1.18838E-02 6.71803E-03 0.042485 5 4 50.0 45.0 135.0 5.53385E-02 9.55040E-03 2.29848E-03 1.18489E-02 6.62976E-03 0.041535 5 7 50.0 90.0 90.0 7.35586E-02 9.45588E-03 2.97150E-03 1.24274E-02 6.56415E-03 0.040396 4 1 60.0 0.0 180.0 6.16418E-02 9.60876E-03 5.13948E-03 1.47482E-02 6.67028E-03 0.083377 4 4 60.0 45.0 135.0 6.30369E-02 9.46584E-03 5.07515E-03 1.45410E-02 6.57106E-03 0.080511 4 7 60.0 90.0 90.0 7.78422E-02 9.49883E-03 5.92662E-03 1.54254E-02 6.59396E-03 0.076136 3 1 70.0 0.0 180.0 8.55285E-02 8.97893E-03 1.41966E-02 2.31755E-02 6.23305E-03 0.165987 3 4 70.0 45.0 135.0 8.31211E-02 8.93863E-03 1.36598E-02 2.25984E-02 6.20508E-03 0.164336 3 7 70.0 90.0 90.0 9.29275E-02 8.98701E-03 1.48544E-02 2.38414E-02 6.23866E-03 0.159849 2 1 80.0 0.0 180.0 1.45314E-01 7.73516E-03 3.52886E-02 4.30237E-02 5.36965E-03 0.242843 2 4 80.0 45.0 135.0 1.34558E-01 7.68007E-03 3.41314E-02 4.18114E-02 5.33141E-03 0.253655 2 7 80.0 90.0 90.0 1.33685E-01 7.73694E-03 3.57448E-02 4.34818E-02 5.37088E-03 0.267382 1 1 87.5 0.0 180.0 2.34946E-01 6.25749E-03 6.22363E-02 6.84938E-02 4.34387E-03 0.264896 1 4 87.5 45.0 135.0 2.11540E-01 5.91404E-03 6.18520E-02 6.77661E-02 4.10545E-03 0.292389 1 7 87.5 90.0 90.0 1.92455E-01 6.60301E-03 6.33015E-02 6.99045E-02 4.58372E-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 1.698E-02 1.242E-01 1.517E-01 1.312E-01 1.958E-01 1.179E-02 4.677E+00 8.830E-03 6.130E-03 1 0.00 0.00 1.638E-02 2.313E-01 3.184E-02 3.618E-02 4.816E-02 1.147E-02 4.092E+00 3 1.59 5.00 1.102E-02 3.499E-01 2.474E-02 3.080E-02 4.724E-02 1.130E-02 4.375E+00 5 3.67 10.00 6.444E-03 3.101E-01 1.680E-02 2.135E-02 3.241E-02 1.113E-02 4.587E+00 7 6.59 15.00 3.087E-03 1.820E-01 9.028E-03 1.134E-02 1.622E-02 1.126E-02 4.692E+00 9 9.66 20.00 1.458E-03 8.737E-02 4.478E-03 5.405E-03 7.129E-03 1.195E-02 4.631E+00 11 11.73 25.00 8.725E-04 5.073E-02 2.702E-03 3.136E-03 3.891E-03 1.257E-02 4.544E+00 Waveband 7 of 30 completed in 3.6 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 109.9 m at 475.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 470.0 nm to 480.0 nm: Ed(diffuse) = 4.572E-01 Ed(direct) = 1.005E+00 Ed(total) = 1.462E+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 0.0317 0.0047 0.0478 3 1.544 5.000 0.0114 0.0395 0.0058 0.0567 5 3.572 10.000 0.0114 0.0561 0.0083 0.0757 7 6.404 15.000 0.0114 0.0807 0.0119 0.1040 9 9.395 20.000 0.0114 0.0648 0.0096 0.0858 11 11.402 25.000 0.0114 0.0275 0.0041 0.0429 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 0.2260 0.0000 0.2296 3 1.544 5.000 0.0036 0.2785 0.0000 0.2821 5 3.572 10.000 0.0036 0.3889 0.0000 0.3925 7 6.404 15.000 0.0036 0.5503 0.0000 0.5539 9 9.395 20.000 0.0036 0.4466 0.0000 0.4503 11 11.402 25.000 0.0036 0.1968 0.0000 0.2004 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 0.00452 0.00000 0.00632 3 1.544 5.000 0.00180 0.00557 0.00000 0.00737 5 3.572 10.000 0.00180 0.00778 0.00000 0.00958 7 6.404 15.000 0.00180 0.01101 0.00000 0.01281 9 9.395 20.000 0.00180 0.00893 0.00000 0.01074 11 11.402 25.000 0.00180 0.00394 0.00000 0.00574 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 0.0478 0.2296 0.2775 0.8276 0.00632 0.02754 3 1.544 5.000 0.0567 0.2821 0.3388 0.8326 0.00737 0.02614 5 3.572 10.000 0.0757 0.3925 0.4683 0.8383 0.00958 0.02441 7 6.404 15.000 0.1040 0.5539 0.6578 0.8420 0.01281 0.02312 9 9.395 20.000 0.0858 0.4503 0.5360 0.8400 0.01074 0.02384 11 11.402 25.000 0.0429 0.2004 0.2433 0.8237 0.00574 0.02863 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4114E-01 8 20.00 8.0110E-01 7 30.00 6.2166E-01 6 40.00 4.4789E-01 5 50.00 3.0626E-01 4 60.00 2.0357E-01 3 70.00 1.3464E-01 2 80.00 9.0737E-02 1 87.50 6.8508E-02 1 92.50 5.6639E-02 2 100.00 4.4630E-02 3 110.00 3.4042E-02 4 120.00 2.7219E-02 5 130.00 2.2855E-02 6 140.00 2.0063E-02 7 150.00 1.8296E-02 8 160.00 1.7222E-02 9 170.00 1.6644E-02 10 180.00 1.6439E-02 Asymptotic AOP values are MUu(inf) = 0.3916 MUd(inf) = 0.7124 MU(inf) = 0.6096 R(inf) = 0.0565 Lu(inf)/Ed(inf) = 0.012257 (1/sr) k(inf) = 0.0704 (1/m) absorp(check) = 0.0429 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 475.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.0970E-01 2.0839E+00 2.2936E+00 8.0861E-02 1.4620E+00 0.3856 0.7016 0.6022 5.5307E-02 1 0.00 0.00 1.6176E-01 1.7049E+00 1.8666E+00 6.9409E-02 1.4506E+00 0.4291 0.8508 0.7399 4.7849E-02 3 1.54 5.00 1.2489E-01 1.2696E+00 1.3945E+00 5.1171E-02 1.0084E+00 0.4097 0.7943 0.6864 5.0745E-02 5 3.57 10.00 8.1806E-02 8.1279E-01 8.9460E-01 3.2508E-02 6.1514E-01 0.3974 0.7568 0.6513 5.2847E-02 7 6.40 15.00 4.2734E-02 4.1643E-01 4.5917E-01 1.6669E-02 3.0420E-01 0.3901 0.7305 0.6262 5.4798E-02 9 9.40 20.00 2.0596E-02 1.9751E-01 2.1810E-01 8.0179E-03 1.4170E-01 0.3893 0.7174 0.6129 5.6583E-02 11 11.40 25.00 1.2073E-02 1.1597E-01 1.2804E-01 4.7452E-03 8.2824E-02 0.3930 0.7142 0.6098 5.7292E-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 0.03981 0.04866 0.04789 0.04920 0.06350 0.06422 0.06432 5.000 5.010 5.005 0.06569 0.07085 0.07039 0.07288 0.08174 0.08221 0.08400 10.000 10.010 10.005 0.10361 0.10729 0.10695 0.10865 0.11549 0.11587 0.11668 15.000 15.010 15.005 0.15504 0.15937 0.15896 0.15696 0.16506 0.16553 0.15841 20.000 20.010 20.005 0.13473 0.13704 0.13682 0.13367 0.13915 0.13948 0.12901 25.000 25.010 25.005 0.07053 0.07031 0.07034 0.07018 0.07000 0.06999 0.07007 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 1.23372E-01 9.14290E-03 8.25799E-03 1.74009E-02 6.25350E-03 0.066935 9 1 10.0 0.0 180.0 7.61258E-02 9.32833E-03 2.61234E-03 1.19407E-02 6.38033E-03 0.034316 9 4 10.0 45.0 135.0 8.36417E-02 9.27671E-03 3.01420E-03 1.22909E-02 6.34503E-03 0.036037 9 7 10.0 90.0 90.0 1.13007E-01 9.23045E-03 6.05524E-03 1.52857E-02 6.31339E-03 0.053583 8 1 20.0 0.0 180.0 5.97958E-02 9.45774E-03 1.45391E-03 1.09116E-02 6.46884E-03 0.024315 8 4 20.0 45.0 135.0 6.65688E-02 9.34257E-03 1.70425E-03 1.10468E-02 6.39007E-03 0.025601 8 7 20.0 90.0 90.0 9.78863E-02 9.28998E-03 3.67330E-03 1.29633E-02 6.35410E-03 0.037526 7 1 30.0 0.0 180.0 5.18462E-02 9.64045E-03 1.24806E-03 1.08885E-02 6.59381E-03 0.024072 7 4 30.0 45.0 135.0 5.74764E-02 9.59728E-03 1.40120E-03 1.09985E-02 6.56429E-03 0.024379 7 7 30.0 90.0 90.0 8.38498E-02 9.48640E-03 2.37996E-03 1.18664E-02 6.48844E-03 0.028384 6 1 40.0 0.0 180.0 4.92118E-02 9.80043E-03 1.38769E-03 1.11881E-02 6.70324E-03 0.028198 6 4 40.0 45.0 135.0 5.38105E-02 9.73588E-03 1.50503E-03 1.12409E-02 6.65908E-03 0.027969 6 7 40.0 90.0 90.0 7.55491E-02 9.63464E-03 2.17797E-03 1.18126E-02 6.58984E-03 0.028829 5 1 50.0 0.0 180.0 5.15970E-02 1.00017E-02 2.19207E-03 1.21938E-02 6.84088E-03 0.042485 5 4 50.0 45.0 135.0 5.49835E-02 9.87899E-03 2.28374E-03 1.21627E-02 6.75697E-03 0.041535 5 7 50.0 90.0 90.0 7.30867E-02 9.80224E-03 2.95244E-03 1.27547E-02 6.70447E-03 0.040396 4 1 60.0 0.0 180.0 6.12464E-02 9.92892E-03 5.10651E-03 1.50354E-02 6.79112E-03 0.083377 4 4 60.0 45.0 135.0 6.26325E-02 9.79091E-03 5.04259E-03 1.48335E-02 6.69672E-03 0.080511 4 7 60.0 90.0 90.0 7.73429E-02 9.84847E-03 5.88860E-03 1.57371E-02 6.73609E-03 0.076136 3 1 70.0 0.0 180.0 8.49798E-02 9.27601E-03 1.41056E-02 2.33816E-02 6.34455E-03 0.165987 3 4 70.0 45.0 135.0 8.25879E-02 9.24424E-03 1.35722E-02 2.28164E-02 6.32282E-03 0.164336 3 7 70.0 90.0 90.0 9.23314E-02 9.31793E-03 1.47591E-02 2.40770E-02 6.37322E-03 0.159849 2 1 80.0 0.0 180.0 1.44382E-01 7.98909E-03 3.50622E-02 4.30513E-02 5.46433E-03 0.242843 2 4 80.0 45.0 135.0 1.33695E-01 7.94110E-03 3.39124E-02 4.18535E-02 5.43150E-03 0.253655 2 7 80.0 90.0 90.0 1.32827E-01 8.02116E-03 3.55155E-02 4.35367E-02 5.48626E-03 0.267382 1 1 87.5 0.0 180.0 2.33439E-01 6.46080E-03 6.18371E-02 6.82979E-02 4.41902E-03 0.264896 1 4 87.5 45.0 135.0 2.10183E-01 6.11330E-03 6.14553E-02 6.75686E-02 4.18134E-03 0.292389 1 7 87.5 90.0 90.0 1.91220E-01 6.84387E-03 6.28954E-02 6.97393E-02 4.68103E-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 1.740E-02 1.234E-01 1.509E-01 1.305E-01 1.947E-01 1.190E-02 4.647E+00 9.143E-03 6.253E-03 1 0.00 0.00 1.696E-02 2.298E-01 3.273E-02 3.730E-02 4.974E-02 1.169E-02 4.093E+00 3 1.54 5.00 1.171E-02 3.554E-01 2.587E-02 3.225E-02 4.955E-02 1.161E-02 4.370E+00 5 3.57 10.00 7.087E-03 3.247E-01 1.820E-02 2.318E-02 3.528E-02 1.152E-02 4.587E+00 7 6.40 15.00 3.540E-03 1.993E-01 1.029E-02 1.296E-02 1.863E-02 1.164E-02 4.709E+00 9 9.40 20.00 1.717E-03 1.003E-01 5.327E-03 6.458E-03 8.574E-03 1.212E-02 4.670E+00 11 11.40 25.00 1.038E-03 5.987E-02 3.246E-03 3.789E-03 4.739E-03 1.253E-02 4.574E+00 Waveband 8 of 30 completed in 3.5 sec. * * * * * Output for wavelength band 9 (480.0 to 490.0 nm; nominal wavelength = 485.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 109.9 m at 485.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 480.0 nm to 490.0 nm: Ed(diffuse) = 4.342E-01 Ed(direct) = 9.814E-01 Ed(total) = 1.416E+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 0.0294 0.0041 0.0471 3 1.511 5.000 0.0136 0.0366 0.0051 0.0553 5 3.492 10.000 0.0136 0.0520 0.0072 0.0728 7 6.253 15.000 0.0136 0.0748 0.0104 0.0988 9 9.169 20.000 0.0136 0.0601 0.0083 0.0820 11 11.129 25.000 0.0136 0.0255 0.0035 0.0426 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 0.2214 0.0000 0.2247 3 1.511 5.000 0.0033 0.2727 0.0000 0.2760 5 3.492 10.000 0.0033 0.3809 0.0000 0.3842 7 6.253 15.000 0.0033 0.5389 0.0000 0.5422 9 9.169 20.000 0.0033 0.4374 0.0000 0.4407 11 11.129 25.000 0.0033 0.1928 0.0000 0.1961 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 0.00443 0.00000 0.00607 3 1.511 5.000 0.00165 0.00545 0.00000 0.00710 5 3.492 10.000 0.00165 0.00762 0.00000 0.00927 7 6.253 15.000 0.00165 0.01078 0.00000 0.01243 9 9.169 20.000 0.00165 0.00875 0.00000 0.01040 11 11.129 25.000 0.00165 0.00386 0.00000 0.00550 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 0.0471 0.2247 0.2718 0.8266 0.00607 0.02704 3 1.511 5.000 0.0553 0.2760 0.3313 0.8331 0.00710 0.02573 5 3.492 10.000 0.0728 0.3842 0.4570 0.8407 0.00927 0.02412 7 6.253 15.000 0.0988 0.5422 0.6410 0.8459 0.01243 0.02292 9 9.169 20.000 0.0820 0.4407 0.5228 0.8431 0.01040 0.02359 11 11.129 25.000 0.0426 0.1961 0.2386 0.8215 0.00550 0.02807 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4063E-01 8 20.00 7.9951E-01 7 30.00 6.1901E-01 6 40.00 4.4469E-01 5 50.00 3.0306E-01 4 60.00 2.0071E-01 3 70.00 1.3226E-01 2 80.00 8.8803E-02 1 87.50 6.6866E-02 1 92.50 5.5178E-02 2 100.00 4.3372E-02 3 110.00 3.2983E-02 4 120.00 2.6304E-02 5 130.00 2.2040E-02 6 140.00 1.9317E-02 7 150.00 1.7596E-02 8 160.00 1.6550E-02 9 170.00 1.5988E-02 10 180.00 1.5789E-02 Asymptotic AOP values are MUu(inf) = 0.3904 MUd(inf) = 0.7140 MU(inf) = 0.6133 R(inf) = 0.0548 Lu(inf)/Ed(inf) = 0.011842 (1/sr) k(inf) = 0.0694 (1/m) absorp(check) = 0.0426 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 485.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.0065E-01 2.0105E+00 2.2111E+00 7.7781E-02 1.4156E+00 0.3876 0.7041 0.6050 5.4946E-02 1 0.00 0.00 1.5527E-01 1.6491E+00 1.8043E+00 6.6701E-02 1.4045E+00 0.4296 0.8517 0.7414 4.7491E-02 3 1.51 5.00 1.2207E-01 1.2378E+00 1.3598E+00 5.0127E-02 9.8499E-01 0.4106 0.7958 0.6875 5.0891E-02 5 3.49 10.00 8.2265E-02 8.0683E-01 8.8910E-01 3.2749E-02 6.1134E-01 0.3981 0.7577 0.6508 5.3569E-02 7 6.25 15.00 4.4539E-02 4.2702E-01 4.7156E-01 1.7352E-02 3.1179E-01 0.3896 0.7302 0.6244 5.5653E-02 9 9.17 20.00 2.1870E-02 2.0951E-01 2.3138E-01 8.4631E-03 1.5015E-01 0.3870 0.7166 0.6123 5.6366E-02 11 11.13 25.00 1.2695E-02 1.2494E-01 1.3763E-01 4.9662E-03 8.9226E-02 0.3912 0.7142 0.6122 5.5658E-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 0.03723 0.04793 0.04701 0.04620 0.06233 0.06313 0.06105 5.000 5.010 5.005 0.06082 0.06853 0.06784 0.06805 0.07941 0.08002 0.07937 10.000 10.010 10.005 0.09684 0.10252 0.10199 0.10218 0.11096 0.11146 0.11089 15.000 15.010 15.005 0.14880 0.15135 0.15111 0.15153 0.15737 0.15772 0.15426 20.000 20.010 20.005 0.13430 0.13146 0.13173 0.13416 0.13359 0.13355 0.12976 25.000 25.010 25.005 0.07050 0.07004 0.07008 0.06979 0.06928 0.06925 0.06941 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 1.17169E-01 8.79237E-03 7.98054E-03 1.67729E-02 6.21112E-03 0.068111 9 1 10.0 0.0 180.0 7.22983E-02 8.96583E-03 2.49948E-03 1.14653E-02 6.33366E-03 0.034572 9 4 10.0 45.0 135.0 7.94364E-02 8.91768E-03 2.88644E-03 1.18041E-02 6.29964E-03 0.036337 9 7 10.0 90.0 90.0 1.07325E-01 8.87689E-03 5.83602E-03 1.47129E-02 6.27082E-03 0.054377 8 1 20.0 0.0 180.0 5.67894E-02 9.08743E-03 1.38174E-03 1.04692E-02 6.41956E-03 0.024331 8 4 20.0 45.0 135.0 6.32218E-02 8.97919E-03 1.62099E-03 1.06002E-02 6.34309E-03 0.025640 8 7 20.0 90.0 90.0 9.29647E-02 8.93475E-03 3.52103E-03 1.24558E-02 6.31170E-03 0.037875 7 1 30.0 0.0 180.0 4.92394E-02 9.26045E-03 1.18531E-03 1.04458E-02 6.54178E-03 0.024072 7 4 30.0 45.0 135.0 5.45873E-02 9.22236E-03 1.33087E-03 1.05532E-02 6.51488E-03 0.024380 7 7 30.0 90.0 90.0 7.96297E-02 9.12438E-03 2.26668E-03 1.13911E-02 6.44566E-03 0.028465 6 1 40.0 0.0 180.0 4.67375E-02 9.41100E-03 1.31792E-03 1.07289E-02 6.64813E-03 0.028198 6 4 40.0 45.0 135.0 5.11050E-02 9.35349E-03 1.42936E-03 1.07828E-02 6.60751E-03 0.027969 6 7 40.0 90.0 90.0 7.17506E-02 9.26785E-03 2.06888E-03 1.13367E-02 6.54701E-03 0.028834 5 1 50.0 0.0 180.0 4.90028E-02 9.60123E-03 2.08186E-03 1.16831E-02 6.78252E-03 0.042485 5 4 50.0 45.0 135.0 5.22190E-02 9.48879E-03 2.16892E-03 1.16577E-02 6.70309E-03 0.041535 5 7 50.0 90.0 90.0 6.94121E-02 9.42912E-03 2.80399E-03 1.22331E-02 6.66093E-03 0.040396 4 1 60.0 0.0 180.0 5.81670E-02 9.52818E-03 4.84977E-03 1.43779E-02 6.73091E-03 0.083377 4 4 60.0 45.0 135.0 5.94834E-02 9.40177E-03 4.78906E-03 1.41908E-02 6.64162E-03 0.080511 4 7 60.0 90.0 90.0 7.34542E-02 9.47320E-03 5.59253E-03 1.50657E-02 6.69208E-03 0.076136 3 1 70.0 0.0 180.0 8.07072E-02 8.89774E-03 1.33963E-02 2.22941E-02 6.28556E-03 0.165987 3 4 70.0 45.0 135.0 7.84356E-02 8.87359E-03 1.28898E-02 2.17634E-02 6.26850E-03 0.164336 3 7 70.0 90.0 90.0 8.76891E-02 8.96130E-03 1.40170E-02 2.29783E-02 6.33046E-03 0.159849 2 1 80.0 0.0 180.0 1.37123E-01 7.65991E-03 3.32993E-02 4.09592E-02 5.41113E-03 0.242843 2 4 80.0 45.0 135.0 1.26973E-01 7.61974E-03 3.22074E-02 3.98271E-02 5.38275E-03 0.253655 2 7 80.0 90.0 90.0 1.26149E-01 7.71245E-03 3.37299E-02 4.14423E-02 5.44824E-03 0.267382 1 1 87.5 0.0 180.0 2.21702E-01 6.19147E-03 5.87280E-02 6.49195E-02 4.37379E-03 0.264896 1 4 87.5 45.0 135.0 1.99616E-01 5.86329E-03 5.83654E-02 6.42287E-02 4.14196E-03 0.292389 1 7 87.5 90.0 90.0 1.81606E-01 6.57832E-03 5.97332E-02 6.63115E-02 4.64707E-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 1.677E-02 1.172E-01 1.433E-01 1.240E-01 1.850E-01 1.185E-02 4.637E+00 8.792E-03 6.211E-03 1 0.00 0.00 1.631E-02 2.183E-01 3.122E-02 3.571E-02 4.782E-02 1.161E-02 4.090E+00 3 1.51 5.00 1.148E-02 3.418E-01 2.500E-02 3.126E-02 4.822E-02 1.166E-02 4.366E+00 5 3.49 10.00 7.134E-03 3.188E-01 1.811E-02 2.312E-02 3.534E-02 1.167E-02 4.590E+00 7 6.25 15.00 3.662E-03 2.024E-01 1.066E-02 1.348E-02 1.947E-02 1.175E-02 4.738E+00 9 9.17 20.00 1.792E-03 1.054E-01 5.676E-03 6.915E-03 9.250E-03 1.193E-02 4.723E+00 11 11.13 25.00 1.078E-03 6.414E-02 3.433E-03 4.031E-03 5.088E-03 1.208E-02 4.607E+00 Waveband 9 of 30 completed in 3.4 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 109.9 m at 495.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 490.0 nm to 500.0 nm: Ed(diffuse) = 4.329E-01 Ed(direct) = 1.004E+00 Ed(total) = 1.437E+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 0.0271 0.0035 0.0480 3 1.487 5.000 0.0173 0.0338 0.0044 0.0555 5 3.431 10.000 0.0173 0.0480 0.0063 0.0715 7 6.132 15.000 0.0173 0.0690 0.0090 0.0953 9 8.983 20.000 0.0173 0.0554 0.0072 0.0800 11 10.906 25.000 0.0173 0.0235 0.0031 0.0438 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 0.2169 0.0000 0.2199 3 1.487 5.000 0.0030 0.2672 0.0000 0.2702 5 3.431 10.000 0.0030 0.3732 0.0000 0.3762 7 6.132 15.000 0.0030 0.5280 0.0000 0.5310 9 8.983 20.000 0.0030 0.4286 0.0000 0.4316 11 10.906 25.000 0.0030 0.1889 0.0000 0.1919 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 0.00434 0.00000 0.00585 3 1.487 5.000 0.00151 0.00534 0.00000 0.00685 5 3.431 10.000 0.00151 0.00746 0.00000 0.00897 7 6.132 15.000 0.00151 0.01056 0.00000 0.01207 9 8.983 20.000 0.00151 0.00857 0.00000 0.01008 11 10.906 25.000 0.00151 0.00378 0.00000 0.00529 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 0.0480 0.2199 0.2679 0.8209 0.00585 0.02659 3 1.487 5.000 0.0555 0.2702 0.3257 0.8296 0.00685 0.02536 5 3.431 10.000 0.0715 0.3762 0.4478 0.8403 0.00897 0.02385 7 6.132 15.000 0.0953 0.5310 0.6263 0.8478 0.01207 0.02273 9 8.983 20.000 0.0800 0.4316 0.5116 0.8437 0.01008 0.02336 11 10.906 25.000 0.0438 0.1919 0.2357 0.8140 0.00529 0.02755 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3881E-01 8 20.00 7.9390E-01 7 30.00 6.0991E-01 6 40.00 4.3396E-01 5 50.00 2.9264E-01 4 60.00 1.9177E-01 3 70.00 1.2512E-01 2 80.00 8.3272E-02 1 87.50 6.2342E-02 1 92.50 5.1268E-02 2 100.00 4.0128E-02 3 110.00 3.0379E-02 4 120.00 2.4150E-02 5 130.00 2.0193E-02 6 140.00 1.7676E-02 7 150.00 1.6092E-02 8 160.00 1.5133E-02 9 170.00 1.4619E-02 10 180.00 1.4436E-02 Asymptotic AOP values are MUu(inf) = 0.3889 MUd(inf) = 0.7186 MU(inf) = 0.6227 R(inf) = 0.0513 Lu(inf)/Ed(inf) = 0.011041 (1/sr) k(inf) = 0.0704 (1/m) absorp(check) = 0.0438 = 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 1.9986E-01 2.0342E+00 2.2341E+00 7.7659E-02 1.4371E+00 0.3886 0.7064 0.6085 5.4040E-02 1 0.00 0.00 1.5181E-01 1.6689E+00 1.8207E+00 6.5294E-02 1.4247E+00 0.4301 0.8537 0.7466 4.5830E-02 3 1.49 5.00 1.2099E-01 1.2505E+00 1.3715E+00 4.9789E-02 9.9845E-01 0.4115 0.7984 0.6917 4.9867E-02 5 3.43 10.00 8.3427E-02 8.2151E-01 9.0493E-01 3.3255E-02 6.2420E-01 0.3986 0.7598 0.6530 5.3275E-02 7 6.13 15.00 4.6393E-02 4.4447E-01 4.9087E-01 1.8023E-02 3.2492E-01 0.3885 0.7310 0.6252 5.5469E-02 9 8.98 20.00 2.2830E-02 2.2315E-01 2.4598E-01 8.7563E-03 1.6003E-01 0.3835 0.7172 0.6150 5.4715E-02 11 10.91 25.00 1.2853E-02 1.3364E-01 1.4649E-01 4.9959E-03 9.5678E-02 0.3887 0.7159 0.6190 5.2216E-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 0.03513 0.04887 0.04772 0.04396 0.06298 0.06390 0.05875 5.000 5.010 5.005 0.05682 0.06822 0.06721 0.06415 0.07905 0.07983 0.07588 10.000 10.010 10.005 0.09129 0.09982 0.09903 0.09707 0.10847 0.10912 0.10681 15.000 15.010 15.005 0.14536 0.14545 0.14544 0.14916 0.15182 0.15197 0.15346 20.000 20.010 20.005 0.13795 0.12810 0.12901 0.13889 0.13015 0.12964 0.13450 25.000 25.010 25.005 0.07287 0.07204 0.07211 0.07161 0.07061 0.07056 0.07079 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 1.16812E-01 8.62640E-03 8.08759E-03 1.67140E-02 6.00278E-03 0.069236 9 1 10.0 0.0 180.0 7.20776E-02 8.79385E-03 2.50949E-03 1.13033E-02 6.11930E-03 0.034817 9 4 10.0 45.0 135.0 7.91939E-02 8.74722E-03 2.90033E-03 1.16475E-02 6.08685E-03 0.036623 9 7 10.0 90.0 90.0 1.06997E-01 8.70882E-03 5.89952E-03 1.46083E-02 6.06013E-03 0.055137 8 1 20.0 0.0 180.0 5.66160E-02 8.91065E-03 1.37842E-03 1.02891E-02 6.20057E-03 0.024347 8 4 20.0 45.0 135.0 6.30288E-02 8.80546E-03 1.61835E-03 1.04238E-02 6.12738E-03 0.025676 8 7 20.0 90.0 90.0 9.26809E-02 8.76464E-03 3.54120E-03 1.23058E-02 6.09897E-03 0.038209 7 1 30.0 0.0 180.0 4.90891E-02 9.07741E-03 1.18169E-03 1.02591E-02 6.31662E-03 0.024072 7 4 30.0 45.0 135.0 5.44213E-02 9.04140E-03 1.32691E-03 1.03683E-02 6.29156E-03 0.024382 7 7 30.0 90.0 90.0 7.93824E-02 8.94932E-03 2.26584E-03 1.12152E-02 6.22748E-03 0.028543 6 1 40.0 0.0 180.0 4.65948E-02 9.22024E-03 1.31389E-03 1.05341E-02 6.41600E-03 0.028198 6 4 40.0 45.0 135.0 5.09490E-02 9.16567E-03 1.42500E-03 1.05907E-02 6.37804E-03 0.027969 6 7 40.0 90.0 90.0 7.15315E-02 9.08747E-03 2.06296E-03 1.11504E-02 6.32361E-03 0.028840 5 1 50.0 0.0 180.0 4.88532E-02 9.40136E-03 2.07551E-03 1.14769E-02 6.54204E-03 0.042485 5 4 50.0 45.0 135.0 5.20596E-02 9.29349E-03 2.16230E-03 1.14558E-02 6.46698E-03 0.041535 5 7 50.0 90.0 90.0 6.92001E-02 9.24246E-03 2.79543E-03 1.20379E-02 6.43147E-03 0.040396 4 1 60.0 0.0 180.0 5.79894E-02 9.32420E-03 4.83496E-03 1.41592E-02 6.48835E-03 0.083377 4 4 60.0 45.0 135.0 5.93018E-02 9.20315E-03 4.77444E-03 1.39776E-02 6.40412E-03 0.080511 4 7 60.0 90.0 90.0 7.32300E-02 9.28219E-03 5.57546E-03 1.48576E-02 6.45911E-03 0.076136 3 1 70.0 0.0 180.0 8.04608E-02 8.70065E-03 1.33555E-02 2.20561E-02 6.05444E-03 0.165987 3 4 70.0 45.0 135.0 7.81961E-02 8.68003E-03 1.28504E-02 2.15304E-02 6.04009E-03 0.164336 3 7 70.0 90.0 90.0 8.74214E-02 8.77617E-03 1.39742E-02 2.27504E-02 6.10700E-03 0.159849 2 1 80.0 0.0 180.0 1.36704E-01 7.48470E-03 3.31977E-02 4.06824E-02 5.20831E-03 0.242843 2 4 80.0 45.0 135.0 1.26585E-01 7.44836E-03 3.21090E-02 3.95574E-02 5.18302E-03 0.253655 2 7 80.0 90.0 90.0 1.25764E-01 7.54943E-03 3.36269E-02 4.11763E-02 5.25335E-03 0.267382 1 1 87.5 0.0 180.0 2.21025E-01 6.04512E-03 5.85487E-02 6.45938E-02 4.20656E-03 0.264896 1 4 87.5 45.0 135.0 1.99006E-01 5.72734E-03 5.81872E-02 6.39146E-02 3.98543E-03 0.292389 1 7 87.5 90.0 90.0 1.81052E-01 6.43582E-03 5.95508E-02 6.59866E-02 4.47844E-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 1.671E-02 1.168E-01 1.428E-01 1.235E-01 1.844E-01 1.163E-02 4.646E+00 8.626E-03 6.003E-03 1 0.00 0.00 1.600E-02 2.176E-01 3.033E-02 3.483E-02 4.694E-02 1.123E-02 4.080E+00 3 1.49 5.00 1.143E-02 3.419E-01 2.449E-02 3.077E-02 4.775E-02 1.144E-02 4.357E+00 5 3.43 10.00 7.237E-03 3.226E-01 1.817E-02 2.329E-02 3.579E-02 1.159E-02 4.595E+00 7 6.13 15.00 3.772E-03 2.097E-01 1.107E-02 1.405E-02 2.043E-02 1.161E-02 4.778E+00 9 8.98 20.00 1.828E-03 1.120E-01 5.984E-03 7.329E-03 9.884E-03 1.142E-02 4.791E+00 11 10.91 25.00 1.077E-03 6.878E-02 3.518E-03 4.157E-03 5.298E-03 1.125E-02 4.641E+00 Waveband 10 of 30 completed in 3.4 sec. * * * * * Output for wavelength band 11 (500.0 to 510.0 nm; nominal wavelength = 505.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 109.3 m at 505.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 500.0 nm to 510.0 nm: Ed(diffuse) = 4.179E-01 Ed(direct) = 9.930E-01 Ed(total) = 1.411E+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 0.0245 0.0031 0.0531 3 1.486 5.000 0.0256 0.0305 0.0038 0.0599 5 3.414 10.000 0.0256 0.0432 0.0054 0.0743 7 6.076 15.000 0.0256 0.0622 0.0078 0.0956 9 8.884 20.000 0.0256 0.0500 0.0063 0.0819 11 10.792 25.000 0.0256 0.0212 0.0027 0.0494 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 0.2126 0.0000 0.2154 3 1.486 5.000 0.0028 0.2619 0.0000 0.2647 5 3.414 10.000 0.0028 0.3658 0.0000 0.3686 7 6.076 15.000 0.0028 0.5176 0.0000 0.5203 9 8.884 20.000 0.0028 0.4201 0.0000 0.4229 11 10.792 25.000 0.0028 0.1851 0.0000 0.1879 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 0.00425 0.00000 0.00564 3 1.486 5.000 0.00138 0.00524 0.00000 0.00662 5 3.414 10.000 0.00138 0.00732 0.00000 0.00870 7 6.076 15.000 0.00138 0.01035 0.00000 0.01174 9 8.884 20.000 0.00138 0.00840 0.00000 0.00979 11 10.792 25.000 0.00138 0.00370 0.00000 0.00509 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 0.0531 0.2154 0.2685 0.8021 0.00564 0.02617 3 1.486 5.000 0.0599 0.2647 0.3246 0.8155 0.00662 0.02502 5 3.414 10.000 0.0743 0.3686 0.4429 0.8323 0.00870 0.02360 7 6.076 15.000 0.0956 0.5203 0.6160 0.8448 0.01174 0.02255 9 8.884 20.000 0.0819 0.4229 0.5048 0.8378 0.00979 0.02314 11 10.792 25.000 0.0494 0.1879 0.2373 0.7917 0.00509 0.02707 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 7.7746E-01 7 30.00 5.8377E-01 6 40.00 4.0395E-01 5 50.00 2.6441E-01 4 60.00 1.6832E-01 3 70.00 1.0699E-01 2 80.00 6.9672E-02 1 87.50 5.1469E-02 1 92.50 4.2019E-02 2 100.00 3.2611E-02 3 110.00 2.4491E-02 4 120.00 1.9381E-02 5 130.00 1.6177E-02 6 140.00 1.4162E-02 7 150.00 1.2907E-02 8 160.00 1.2153E-02 9 170.00 1.1751E-02 10 180.00 1.1609E-02 Asymptotic AOP values are MUu(inf) = 0.3870 MUd(inf) = 0.7311 MU(inf) = 0.6460 R(inf) = 0.0436 Lu(inf)/Ed(inf) = 0.009386 (1/sr) k(inf) = 0.0765 (1/m) absorp(check) = 0.0494 = 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 1.8911E-01 1.9912E+00 2.1804E+00 7.3184E-02 1.4110E+00 0.3870 0.7086 0.6136 5.1869E-02 1 0.00 0.00 1.3354E-01 1.6255E+00 1.7590E+00 5.7487E-02 1.3952E+00 0.4305 0.8583 0.7605 4.1202E-02 3 1.49 5.00 1.0654E-01 1.1858E+00 1.2923E+00 4.3920E-02 9.5327E-01 0.4122 0.8039 0.7037 4.6073E-02 5 3.41 10.00 7.4199E-02 7.6552E-01 8.3972E-01 2.9591E-02 5.8562E-01 0.3988 0.7650 0.6622 5.0529E-02 7 6.08 15.00 4.1594E-02 4.1348E-01 4.5507E-01 1.6057E-02 3.0380E-01 0.3860 0.7347 0.6323 5.2854E-02 9 8.88 20.00 1.9742E-02 2.0725E-01 2.2699E-01 7.4561E-03 1.4940E-01 0.3777 0.7209 0.6254 4.9906E-02 11 10.79 25.00 1.0200E-02 1.2121E-01 1.3141E-01 3.9263E-03 8.7546E-02 0.3849 0.7223 0.6363 4.4849E-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 0.03483 0.05424 0.05276 0.04399 0.06847 0.06952 0.05914 5.000 5.010 5.005 0.05502 0.07308 0.07159 0.06255 0.08369 0.08471 0.07511 10.000 10.010 10.005 0.08829 0.10208 0.10086 0.09480 0.11089 0.11175 0.10635 15.000 15.010 15.005 0.14819 0.14415 0.14452 0.15358 0.15090 0.15075 0.16011 20.000 20.010 20.005 0.15154 0.12990 0.13178 0.15413 0.13168 0.13050 0.14943 25.000 25.010 25.005 0.08180 0.08015 0.08028 0.07947 0.07750 0.07740 0.07774 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 1.12773E-01 7.64338E-03 7.92802E-03 1.55714E-02 5.41716E-03 0.070301 9 1 10.0 0.0 180.0 6.95856E-02 7.79350E-03 2.43885E-03 1.02323E-02 5.52356E-03 0.035048 9 4 10.0 45.0 135.0 7.64558E-02 7.75090E-03 2.82079E-03 1.05717E-02 5.49337E-03 0.036894 9 7 10.0 90.0 90.0 1.03298E-01 7.71402E-03 5.76982E-03 1.34838E-02 5.46723E-03 0.055856 8 1 20.0 0.0 180.0 5.46586E-02 7.89492E-03 1.33157E-03 9.22650E-03 5.59544E-03 0.024362 8 4 20.0 45.0 135.0 6.08497E-02 7.79956E-03 1.56451E-03 9.36407E-03 5.52785E-03 0.025711 8 7 20.0 90.0 90.0 8.94766E-02 7.75880E-03 3.44702E-03 1.12058E-02 5.49896E-03 0.038524 7 1 30.0 0.0 180.0 4.73919E-02 8.03878E-03 1.14083E-03 9.17962E-03 5.69740E-03 0.024072 7 4 30.0 45.0 135.0 5.25404E-02 8.00383E-03 1.28114E-03 9.28496E-03 5.67262E-03 0.024384 7 7 30.0 90.0 90.0 7.66341E-02 7.91613E-03 2.19306E-03 1.01092E-02 5.61047E-03 0.028617 6 1 40.0 0.0 180.0 4.49839E-02 8.15675E-03 1.26847E-03 9.42522E-03 5.78101E-03 0.028198 6 4 40.0 45.0 135.0 4.91875E-02 8.10446E-03 1.37573E-03 9.48019E-03 5.74394E-03 0.027969 6 7 40.0 90.0 90.0 6.90584E-02 8.02780E-03 1.99200E-03 1.00198E-02 5.68962E-03 0.028845 5 1 50.0 0.0 180.0 4.71641E-02 8.30698E-03 2.00375E-03 1.03107E-02 5.88748E-03 0.042485 5 4 50.0 45.0 135.0 5.02597E-02 8.20713E-03 2.08754E-03 1.02947E-02 5.81671E-03 0.041535 5 7 50.0 90.0 90.0 6.68076E-02 8.15439E-03 2.69879E-03 1.08532E-02 5.77934E-03 0.040396 4 1 60.0 0.0 180.0 5.59845E-02 8.22814E-03 4.66780E-03 1.28959E-02 5.83161E-03 0.083377 4 4 60.0 45.0 135.0 5.72516E-02 8.11657E-03 4.60937E-03 1.27259E-02 5.75253E-03 0.080511 4 7 60.0 90.0 90.0 7.06981E-02 8.17907E-03 5.38269E-03 1.35618E-02 5.79683E-03 0.076136 3 1 70.0 0.0 180.0 7.76790E-02 7.66604E-03 1.28937E-02 2.05597E-02 5.43322E-03 0.165987 3 4 70.0 45.0 135.0 7.54926E-02 7.64350E-03 1.24061E-02 2.00496E-02 5.41725E-03 0.164336 3 7 70.0 90.0 90.0 8.43989E-02 7.72273E-03 1.34911E-02 2.12138E-02 5.47340E-03 0.159849 2 1 80.0 0.0 180.0 1.31978E-01 6.58522E-03 3.20499E-02 3.86351E-02 4.66720E-03 0.242843 2 4 80.0 45.0 135.0 1.22209E-01 6.54961E-03 3.09989E-02 3.75485E-02 4.64196E-03 0.253655 2 7 80.0 90.0 90.0 1.21415E-01 6.63554E-03 3.24643E-02 3.90998E-02 4.70287E-03 0.267382 1 1 87.5 0.0 180.0 2.13384E-01 5.31120E-03 5.65245E-02 6.18357E-02 3.76426E-03 0.264896 1 4 87.5 45.0 135.0 1.92126E-01 5.02965E-03 5.61755E-02 6.12051E-02 3.56471E-03 0.292389 1 7 87.5 90.0 90.0 1.74792E-01 5.65097E-03 5.74919E-02 6.31429E-02 4.00506E-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 1.557E-02 1.128E-01 1.376E-01 1.190E-01 1.777E-01 1.104E-02 4.700E+00 7.643E-03 5.417E-03 1 0.00 0.00 1.418E-02 2.101E-01 2.652E-02 3.059E-02 4.166E-02 1.016E-02 4.054E+00 3 1.49 5.00 1.013E-02 3.236E-01 2.136E-02 2.701E-02 4.236E-02 1.062E-02 4.336E+00 5 3.41 10.00 6.435E-03 3.019E-01 1.601E-02 2.064E-02 3.198E-02 1.099E-02 4.598E+00 7 6.08 15.00 3.319E-03 1.965E-01 9.962E-03 1.271E-02 1.863E-02 1.093E-02 4.838E+00 9 8.88 20.00 1.525E-03 1.053E-01 5.300E-03 6.532E-03 8.895E-03 1.021E-02 4.890E+00 11 10.79 25.00 8.408E-04 6.378E-02 2.867E-03 3.413E-03 4.397E-03 9.604E-03 4.670E+00 Waveband 11 of 30 completed in 3.4 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 108.9 m at 515.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 510.0 nm to 520.0 nm: Ed(diffuse) = 3.962E-01 Ed(direct) = 9.620E-01 Ed(total) = 1.358E+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 0.0222 0.0027 0.0645 3 1.516 5.000 0.0396 0.0276 0.0033 0.0705 5 3.463 10.000 0.0396 0.0392 0.0047 0.0835 7 6.121 15.000 0.0396 0.0564 0.0068 0.1028 9 8.921 20.000 0.0396 0.0453 0.0055 0.0904 11 10.848 25.000 0.0396 0.0192 0.0023 0.0611 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 0.2085 0.0000 0.2110 3 1.516 5.000 0.0025 0.2568 0.0000 0.2594 5 3.463 10.000 0.0025 0.3587 0.0000 0.3613 7 6.121 15.000 0.0025 0.5075 0.0000 0.5101 9 8.921 20.000 0.0025 0.4120 0.0000 0.4145 11 10.848 25.000 0.0025 0.1815 0.0000 0.1841 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 0.00417 0.00000 0.00544 3 1.516 5.000 0.00127 0.00514 0.00000 0.00641 5 3.463 10.000 0.00127 0.00717 0.00000 0.00845 7 6.121 15.000 0.00127 0.01015 0.00000 0.01142 9 8.921 20.000 0.00127 0.00824 0.00000 0.00951 11 10.848 25.000 0.00127 0.00363 0.00000 0.00490 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 0.0645 0.2110 0.2755 0.7660 0.00544 0.02578 3 1.516 5.000 0.0705 0.2594 0.3299 0.7862 0.00641 0.02471 5 3.463 10.000 0.0835 0.3613 0.4448 0.8123 0.00845 0.02338 7 6.121 15.000 0.1028 0.5101 0.6128 0.8323 0.01142 0.02239 9 8.921 20.000 0.0904 0.4145 0.5049 0.8210 0.00951 0.02294 11 10.848 25.000 0.0611 0.1841 0.2452 0.7508 0.00490 0.02663 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.2327E-01 8 20.00 7.4752E-01 7 30.00 5.3803E-01 6 40.00 3.5396E-01 5 50.00 2.1979E-01 4 60.00 1.3313E-01 3 70.00 8.1077E-02 2 80.00 5.1014E-02 1 87.50 3.6941E-02 1 92.50 2.9859E-02 2 100.00 2.2913E-02 3 110.00 1.7038E-02 4 120.00 1.3428E-02 5 130.00 1.1208E-02 6 140.00 9.8370E-03 7 150.00 8.9960E-03 8 160.00 8.4980E-03 9 170.00 8.2356E-03 10 180.00 8.1429E-03 Asymptotic AOP values are MUu(inf) = 0.3852 MUd(inf) = 0.7520 MU(inf) = 0.6822 R(inf) = 0.0335 Lu(inf)/Ed(inf) = 0.007254 (1/sr) k(inf) = 0.0896 (1/m) absorp(check) = 0.0611 = 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 1.7211E-01 1.9117E+00 2.0838E+00 6.5833E-02 1.3582E+00 0.3825 0.7105 0.6202 4.8470E-02 1 0.00 0.00 1.0500E-01 1.5453E+00 1.6504E+00 4.5129E-02 1.3375E+00 0.4298 0.8655 0.7831 3.3741E-02 3 1.52 5.00 8.1627E-02 1.0581E+00 1.1398E+00 3.3635E-02 8.5967E-01 0.4121 0.8124 0.7247 3.9125E-02 5 3.46 10.00 5.5842E-02 6.4549E-01 7.0134E-01 2.2245E-02 4.9969E-01 0.3984 0.7741 0.6808 4.4517E-02 7 6.12 15.00 3.0535E-02 3.3406E-01 3.6459E-01 1.1688E-02 2.4816E-01 0.3828 0.7429 0.6486 4.7099E-02 9 8.92 20.00 1.3343E-02 1.6030E-01 1.7364E-01 4.9512E-03 1.1696E-01 0.3711 0.7296 0.6450 4.2332E-02 11 10.85 25.00 5.9596E-03 8.7962E-02 9.3921E-02 2.2722E-03 6.4610E-02 0.3813 0.7345 0.6637 3.5168E-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 0.03852 0.06598 0.06423 0.04888 0.08080 0.08192 0.06474 5.000 5.010 5.005 0.05834 0.08557 0.08362 0.06598 0.09566 0.09687 0.07944 10.000 10.010 10.005 0.09078 0.11236 0.11064 0.09805 0.12108 0.12216 0.11162 15.000 15.010 15.005 0.15988 0.15126 0.15198 0.16681 0.15828 0.15785 0.17541 20.000 20.010 20.005 0.17567 0.13993 0.14268 0.18013 0.14128 0.13956 0.17514 25.000 25.010 25.005 0.09877 0.09596 0.09614 0.09491 0.09178 0.09167 0.09181 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 1.06920E-01 6.05282E-03 7.62097E-03 1.36738E-02 4.45640E-03 0.071277 9 1 10.0 0.0 180.0 6.59743E-02 6.17813E-03 2.32629E-03 8.50443E-03 4.54866E-03 0.035261 9 4 10.0 45.0 135.0 7.24880E-02 6.14134E-03 2.69243E-03 8.83377E-03 4.52157E-03 0.037143 9 7 10.0 90.0 90.0 9.79372E-02 6.10504E-03 5.53497E-03 1.16400E-02 4.49484E-03 0.056516 8 1 20.0 0.0 180.0 5.18219E-02 6.25776E-03 1.26318E-03 7.52094E-03 4.60729E-03 0.024375 8 4 20.0 45.0 135.0 5.76917E-02 6.17709E-03 1.48515E-03 7.66224E-03 4.54789E-03 0.025743 8 7 20.0 90.0 90.0 8.48330E-02 6.13327E-03 3.29269E-03 9.42596E-03 4.51563E-03 0.038814 7 1 30.0 0.0 180.0 4.49324E-02 6.36828E-03 1.08163E-03 7.44991E-03 4.68866E-03 0.024072 7 4 30.0 45.0 135.0 4.98142E-02 6.33344E-03 1.21474E-03 7.54818E-03 4.66301E-03 0.024385 7 7 30.0 90.0 90.0 7.26537E-02 6.24830E-03 2.08408E-03 8.33237E-03 4.60032E-03 0.028685 6 1 40.0 0.0 180.0 4.26493E-02 6.45227E-03 1.20264E-03 7.65491E-03 4.75050E-03 0.028198 6 4 40.0 45.0 135.0 4.66348E-02 6.40151E-03 1.30433E-03 7.70584E-03 4.71312E-03 0.027969 6 7 40.0 90.0 90.0 6.54745E-02 6.32099E-03 1.88893E-03 8.20992E-03 4.65384E-03 0.028850 5 1 50.0 0.0 180.0 4.47164E-02 6.55983E-03 1.89976E-03 8.45959E-03 4.82969E-03 0.042485 5 4 50.0 45.0 135.0 4.76514E-02 6.47021E-03 1.97920E-03 8.44941E-03 4.76370E-03 0.041535 5 7 50.0 90.0 90.0 6.33405E-02 6.40668E-03 2.55873E-03 8.96541E-03 4.71693E-03 0.040396 4 1 60.0 0.0 180.0 5.30791E-02 6.48573E-03 4.42555E-03 1.09113E-02 4.77513E-03 0.083377 4 4 60.0 45.0 135.0 5.42803E-02 6.38623E-03 4.37015E-03 1.07564E-02 4.70188E-03 0.080511 4 7 60.0 90.0 90.0 6.70291E-02 6.41271E-03 5.10335E-03 1.15161E-02 4.72137E-03 0.076136 3 1 70.0 0.0 180.0 7.36476E-02 6.03029E-03 1.22246E-02 1.82548E-02 4.43981E-03 0.165987 3 4 70.0 45.0 135.0 7.15747E-02 6.00145E-03 1.17623E-02 1.77637E-02 4.41858E-03 0.164336 3 7 70.0 90.0 90.0 8.00188E-02 6.04322E-03 1.27909E-02 1.88342E-02 4.44933E-03 0.159849 2 1 80.0 0.0 180.0 1.25128E-01 5.17071E-03 3.03866E-02 3.55573E-02 3.80694E-03 0.242843 2 4 80.0 45.0 135.0 1.15866E-01 5.13316E-03 2.93901E-02 3.45233E-02 3.77930E-03 0.253655 2 7 80.0 90.0 90.0 1.15114E-01 5.18469E-03 3.07795E-02 3.59642E-02 3.81724E-03 0.267382 1 1 87.5 0.0 180.0 2.02310E-01 4.16370E-03 5.35910E-02 5.77547E-02 3.06553E-03 0.264896 1 4 87.5 45.0 135.0 1.82155E-01 3.93606E-03 5.32601E-02 5.71962E-02 2.89793E-03 0.292389 1 7 87.5 90.0 90.0 1.65721E-01 4.41090E-03 5.45082E-02 5.89191E-02 3.24753E-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 1.367E-02 1.069E-01 1.300E-01 1.123E-01 1.680E-01 1.007E-02 4.815E+00 6.053E-03 4.456E-03 1 0.00 0.00 1.123E-02 1.991E-01 2.082E-02 2.414E-02 3.339E-02 8.396E-03 4.019E+00 3 1.52 5.00 7.815E-03 2.909E-01 1.633E-02 2.084E-02 3.322E-02 9.091E-03 4.304E+00 5 3.46 10.00 4.847E-03 2.592E-01 1.201E-02 1.559E-02 2.445E-02 9.700E-03 4.589E+00 7 6.12 15.00 2.390E-03 1.629E-01 7.390E-03 9.486E-03 1.405E-02 9.632E-03 4.890E+00 9 8.92 20.00 9.933E-04 8.428E-02 3.697E-03 4.588E-03 6.316E-03 8.493E-03 4.985E+00 11 10.85 25.00 4.868E-04 4.866E-02 1.731E-03 2.075E-03 2.704E-03 7.534E-03 4.668E+00 Waveband 12 of 30 completed in 3.5 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 108.9 m at 525.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 520.0 nm to 530.0 nm: Ed(diffuse) = 3.989E-01 Ed(direct) = 9.886E-01 Ed(total) = 1.387E+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 0.0191 0.0023 0.0631 3 1.484 5.000 0.0417 0.0238 0.0029 0.0684 5 3.385 10.000 0.0417 0.0338 0.0041 0.0796 7 5.975 15.000 0.0417 0.0486 0.0059 0.0962 9 8.701 20.000 0.0417 0.0390 0.0048 0.0855 11 10.583 25.000 0.0417 0.0165 0.0020 0.0602 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 0.2045 0.0000 0.2068 3 1.484 5.000 0.0023 0.2519 0.0000 0.2543 5 3.385 10.000 0.0023 0.3519 0.0000 0.3542 7 5.975 15.000 0.0023 0.4979 0.0000 0.5002 9 8.701 20.000 0.0023 0.4041 0.0000 0.4065 11 10.583 25.000 0.0023 0.1781 0.0000 0.1804 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 0.00409 0.00000 0.00526 3 1.484 5.000 0.00117 0.00504 0.00000 0.00621 5 3.385 10.000 0.00117 0.00704 0.00000 0.00821 7 5.975 15.000 0.00117 0.00996 0.00000 0.01113 9 8.701 20.000 0.00117 0.00808 0.00000 0.00925 11 10.583 25.000 0.00117 0.00356 0.00000 0.00473 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 0.0631 0.2068 0.2700 0.7661 0.00526 0.02543 3 1.484 5.000 0.0684 0.2543 0.3227 0.7881 0.00621 0.02442 5 3.385 10.000 0.0796 0.3542 0.4338 0.8166 0.00821 0.02317 7 5.975 15.000 0.0962 0.5002 0.5964 0.8387 0.01113 0.02225 9 8.701 20.000 0.0855 0.4065 0.4920 0.8262 0.00925 0.02276 11 10.583 25.000 0.0602 0.1804 0.2407 0.7497 0.00473 0.02623 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.2300E-01 8 20.00 7.4672E-01 7 30.00 5.3681E-01 6 40.00 3.5261E-01 5 50.00 2.1855E-01 4 60.00 1.3213E-01 3 70.00 8.0296E-02 2 80.00 5.0413E-02 1 87.50 3.6445E-02 1 92.50 2.9422E-02 2 100.00 2.2540E-02 3 110.00 1.6726E-02 4 120.00 1.3156E-02 5 130.00 1.0963E-02 6 140.00 9.6088E-03 7 150.00 8.7788E-03 8 160.00 8.2875E-03 9 170.00 8.0286E-03 10 180.00 7.9373E-03 Asymptotic AOP values are MUu(inf) = 0.3843 MUd(inf) = 0.7527 MU(inf) = 0.6840 R(inf) = 0.0329 Lu(inf)/Ed(inf) = 0.007091 (1/sr) k(inf) = 0.0881 (1/m) absorp(check) = 0.0603 = 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 1.7470E-01 1.9478E+00 2.1226E+00 6.7184E-02 1.3875E+00 0.3846 0.7123 0.6220 4.8421E-02 1 0.00 0.00 1.0760E-01 1.5785E+00 1.6861E+00 4.6357E-02 1.3667E+00 0.4308 0.8658 0.7830 3.3920E-02 3 1.48 5.00 8.5584E-02 1.0932E+00 1.1788E+00 3.5395E-02 8.8904E-01 0.4136 0.8133 0.7242 3.9813E-02 5 3.38 10.00 6.0597E-02 6.8191E-01 7.4251E-01 2.4205E-02 5.2797E-01 0.3994 0.7743 0.6785 4.5845E-02 7 5.97 15.00 3.4535E-02 3.6680E-01 4.0134E-01 1.3202E-02 2.7203E-01 0.3823 0.7416 0.6449 4.8529E-02 9 8.70 20.00 1.5447E-02 1.8328E-01 1.9872E-01 5.6972E-03 1.3339E-01 0.3688 0.7278 0.6426 4.2710E-02 11 10.58 25.00 6.8535E-03 1.0258E-01 1.0943E-01 2.6020E-03 7.5240E-02 0.3797 0.7335 0.6638 3.4582E-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 0.03529 0.06471 0.06283 0.04507 0.07905 0.08025 0.06059 5.000 5.010 5.005 0.05239 0.08251 0.08032 0.06010 0.09263 0.09398 0.07393 10.000 10.010 10.005 0.08279 0.10660 0.10466 0.09054 0.11559 0.11679 0.10510 15.000 15.010 15.005 0.15269 0.14177 0.14271 0.16055 0.14918 0.14860 0.17032 20.000 20.010 20.005 0.17431 0.13322 0.13641 0.17956 0.13457 0.13256 0.17458 25.000 25.010 25.005 0.09838 0.09514 0.09534 0.09410 0.09054 0.09041 0.09068 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 1.07640E-01 6.23090E-03 7.77472E-03 1.40056E-02 4.49077E-03 0.072229 9 1 10.0 0.0 180.0 6.64186E-02 6.35594E-03 2.35571E-03 8.71165E-03 4.58089E-03 0.035468 9 4 10.0 45.0 135.0 7.29761E-02 6.31929E-03 2.72825E-03 9.04754E-03 4.55447E-03 0.037386 9 7 10.0 90.0 90.0 9.85967E-02 6.28490E-03 5.63562E-03 1.19205E-02 4.52968E-03 0.057158 8 1 20.0 0.0 180.0 5.21709E-02 6.43556E-03 1.27238E-03 7.70794E-03 4.63827E-03 0.024389 8 4 20.0 45.0 135.0 5.80802E-02 6.35458E-03 1.49695E-03 7.85153E-03 4.57991E-03 0.025774 8 7 20.0 90.0 90.0 8.54042E-02 6.31439E-03 3.33897E-03 9.65336E-03 4.55094E-03 0.039096 7 1 30.0 0.0 180.0 4.52350E-02 6.54708E-03 1.08891E-03 7.63599E-03 4.71865E-03 0.024072 7 4 30.0 45.0 135.0 5.01502E-02 6.51403E-03 1.22300E-03 7.73703E-03 4.69483E-03 0.024387 7 7 30.0 90.0 90.0 7.31397E-02 6.43325E-03 2.10285E-03 8.53610E-03 4.63661E-03 0.028751 6 1 40.0 0.0 180.0 4.29365E-02 6.63072E-03 1.21073E-03 7.84145E-03 4.77893E-03 0.028198 6 4 40.0 45.0 135.0 4.69488E-02 6.58219E-03 1.31312E-03 7.89530E-03 4.74395E-03 0.027969 6 7 40.0 90.0 90.0 6.59154E-02 6.50839E-03 1.90196E-03 8.41035E-03 4.69076E-03 0.028855 5 1 50.0 0.0 180.0 4.50175E-02 6.73851E-03 1.91255E-03 8.65106E-03 4.85661E-03 0.042485 5 4 50.0 45.0 135.0 4.79722E-02 6.65069E-03 1.99253E-03 8.64322E-03 4.79332E-03 0.041535 5 7 50.0 90.0 90.0 6.37670E-02 6.59596E-03 2.57596E-03 9.17191E-03 4.75387E-03 0.040396 4 1 60.0 0.0 180.0 5.34365E-02 6.65940E-03 4.45535E-03 1.11148E-02 4.79960E-03 0.083377 4 4 60.0 45.0 135.0 5.46459E-02 6.56194E-03 4.39958E-03 1.09615E-02 4.72936E-03 0.080511 4 7 60.0 90.0 90.0 6.74805E-02 6.60096E-03 5.13771E-03 1.17387E-02 4.75748E-03 0.076136 3 1 70.0 0.0 180.0 7.41436E-02 6.18799E-03 1.23069E-02 1.84949E-02 4.45984E-03 0.165987 3 4 70.0 45.0 135.0 7.20567E-02 6.16318E-03 1.18415E-02 1.80047E-02 4.44196E-03 0.164336 3 7 70.0 90.0 90.0 8.05577E-02 6.21800E-03 1.28771E-02 1.90951E-02 4.48147E-03 0.159849 2 1 80.0 0.0 180.0 1.25971E-01 5.30258E-03 3.05912E-02 3.58938E-02 3.82170E-03 0.242843 2 4 80.0 45.0 135.0 1.16647E-01 5.26835E-03 2.95881E-02 3.48564E-02 3.79704E-03 0.253655 2 7 80.0 90.0 90.0 1.15889E-01 5.33206E-03 3.09867E-02 3.63188E-02 3.84295E-03 0.267382 1 1 87.5 0.0 180.0 2.03672E-01 4.26675E-03 5.39519E-02 5.82186E-02 3.07516E-03 0.264896 1 4 87.5 45.0 135.0 1.83382E-01 4.03693E-03 5.36188E-02 5.76557E-02 2.90952E-03 0.292389 1 7 87.5 90.0 90.0 1.66837E-01 4.53330E-03 5.48753E-02 5.94086E-02 3.26727E-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 1.401E-02 1.076E-01 1.309E-01 1.131E-01 1.691E-01 1.009E-02 4.797E+00 6.231E-03 4.491E-03 1 0.00 0.00 1.156E-02 2.005E-01 2.119E-02 2.463E-02 3.416E-02 8.458E-03 4.010E+00 3 1.48 5.00 8.242E-03 2.965E-01 1.688E-02 2.159E-02 3.449E-02 9.270E-03 4.295E+00 5 3.38 10.00 5.269E-03 2.704E-01 1.286E-02 1.672E-02 2.629E-02 9.980E-03 4.594E+00 7 5.97 15.00 2.680E-03 1.765E-01 8.311E-03 1.069E-02 1.590E-02 9.853E-03 4.925E+00 9 8.70 20.00 1.130E-03 9.504E-02 4.297E-03 5.354E-03 7.418E-03 8.473E-03 5.041E+00 11 10.58 25.00 5.538E-04 5.613E-02 2.002E-03 2.412E-03 3.168E-03 7.360E-03 4.699E+00 Waveband 13 of 30 completed in 3.5 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 108.9 m at 535.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 530.0 nm to 540.0 nm: Ed(diffuse) = 3.977E-01 Ed(direct) = 1.004E+00 Ed(total) = 1.402E+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 0.0168 0.0020 0.0640 3 1.465 5.000 0.0452 0.0209 0.0025 0.0687 5 3.334 10.000 0.0452 0.0297 0.0036 0.0785 7 5.872 15.000 0.0452 0.0428 0.0051 0.0931 9 8.543 20.000 0.0452 0.0344 0.0041 0.0837 11 10.394 25.000 0.0452 0.0146 0.0017 0.0615 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 0.2007 0.0000 0.2028 3 1.465 5.000 0.0022 0.2472 0.0000 0.2494 5 3.334 10.000 0.0022 0.3453 0.0000 0.3475 7 5.872 15.000 0.0022 0.4885 0.0000 0.4907 9 8.543 20.000 0.0022 0.3966 0.0000 0.3987 11 10.394 25.000 0.0022 0.1747 0.0000 0.1769 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 0.00401 0.00000 0.00509 3 1.465 5.000 0.00108 0.00494 0.00000 0.00602 5 3.334 10.000 0.00108 0.00691 0.00000 0.00798 7 5.872 15.000 0.00108 0.00977 0.00000 0.01085 9 8.543 20.000 0.00108 0.00793 0.00000 0.00901 11 10.394 25.000 0.00108 0.00349 0.00000 0.00457 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 0.0640 0.2028 0.2669 0.7600 0.00509 0.02510 3 1.465 5.000 0.0687 0.2494 0.3180 0.7841 0.00602 0.02415 5 3.334 10.000 0.0785 0.3475 0.4260 0.8157 0.00798 0.02298 7 5.872 15.000 0.0931 0.4907 0.5838 0.8405 0.01085 0.02211 9 8.543 20.000 0.0837 0.3987 0.4824 0.8265 0.00901 0.02260 11 10.394 25.000 0.0615 0.1769 0.2384 0.7420 0.00457 0.02585 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.2110E-01 8 20.00 7.4118E-01 7 30.00 5.2859E-01 6 40.00 3.4393E-01 5 50.00 2.1107E-01 4 60.00 1.2642E-01 3 70.00 7.6199E-02 2 80.00 4.7518E-02 1 87.50 3.4208E-02 1 92.50 2.7553E-02 2 100.00 2.1049E-02 3 110.00 1.5573E-02 4 120.00 1.2225E-02 5 130.00 1.0176E-02 6 140.00 8.9143E-03 7 150.00 8.1432E-03 8 160.00 7.6878E-03 9 170.00 7.4483E-03 10 180.00 7.3639E-03 Asymptotic AOP values are MUu(inf) = 0.3834 MUd(inf) = 0.7565 MU(inf) = 0.6906 R(inf) = 0.0311 Lu(inf)/Ed(inf) = 0.006696 (1/sr) k(inf) = 0.0891 (1/m) absorp(check) = 0.0615 = 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 1.7405E-01 1.9636E+00 2.1377E+00 6.7063E-02 1.4020E+00 0.3853 0.7140 0.6245 4.7834E-02 1 0.00 0.00 1.0516E-01 1.5918E+00 1.6969E+00 4.5353E-02 1.3803E+00 0.4313 0.8671 0.7867 3.2858E-02 3 1.46 5.00 8.4570E-02 1.0997E+00 1.1843E+00 3.5054E-02 8.9662E-01 0.4145 0.8153 0.7275 3.9095E-02 5 3.33 10.00 6.1091E-02 6.8997E-01 7.5107E-01 2.4438E-02 5.3547E-01 0.4000 0.7761 0.6804 4.5638E-02 7 5.87 15.00 3.5643E-02 3.7814E-01 4.1378E-01 1.3592E-02 2.8075E-01 0.3813 0.7425 0.6457 4.8414E-02 9 8.54 20.00 1.5994E-02 1.9275E-01 2.0874E-01 5.8599E-03 1.4039E-01 0.3664 0.7283 0.6445 4.1741E-02 11 10.39 25.00 6.9168E-03 1.0827E-01 1.1518E-01 2.6151E-03 7.9572E-02 0.3781 0.7350 0.6681 3.2865E-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 0.03370 0.06571 0.06372 0.04330 0.07979 0.08103 0.05868 5.000 5.010 5.005 0.04903 0.08244 0.08005 0.05673 0.09247 0.09392 0.07092 10.000 10.010 10.005 0.07787 0.10442 0.10226 0.08608 0.11354 0.11486 0.10161 15.000 15.010 15.005 0.14974 0.13664 0.13776 0.15843 0.14435 0.14363 0.16919 20.000 20.010 20.005 0.17689 0.13031 0.13388 0.18286 0.13161 0.12938 0.17784 25.000 25.010 25.005 0.10062 0.09689 0.09711 0.09582 0.09183 0.09170 0.09198 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 1.07317E-01 6.11040E-03 7.84642E-03 1.39568E-02 4.35838E-03 0.073114 9 1 10.0 0.0 180.0 6.62190E-02 6.23147E-03 2.36139E-03 8.59286E-03 4.44474E-03 0.035660 9 4 10.0 45.0 135.0 7.27568E-02 6.19584E-03 2.73648E-03 8.93232E-03 4.41932E-03 0.037611 9 7 10.0 90.0 90.0 9.83004E-02 6.16296E-03 5.67750E-03 1.18405E-02 4.39587E-03 0.057757 8 1 20.0 0.0 180.0 5.20141E-02 6.30797E-03 1.26920E-03 7.57717E-03 4.49930E-03 0.024401 8 4 20.0 45.0 135.0 5.79057E-02 6.22909E-03 1.49412E-03 7.72321E-03 4.44304E-03 0.025803 8 7 20.0 90.0 90.0 8.51476E-02 6.19111E-03 3.35130E-03 9.54241E-03 4.41595E-03 0.039359 7 1 30.0 0.0 180.0 4.50990E-02 6.41541E-03 1.08564E-03 7.50105E-03 4.57594E-03 0.024072 7 4 30.0 45.0 135.0 5.00000E-02 6.38371E-03 1.21941E-03 7.60312E-03 4.55333E-03 0.024388 7 7 30.0 90.0 90.0 7.29169E-02 6.30659E-03 2.10093E-03 8.40752E-03 4.49832E-03 0.028813 6 1 40.0 0.0 180.0 4.28075E-02 6.49426E-03 1.20709E-03 7.70135E-03 4.63218E-03 0.028198 6 4 40.0 45.0 135.0 4.68077E-02 6.44763E-03 1.30917E-03 7.75680E-03 4.59892E-03 0.027969 6 7 40.0 90.0 90.0 6.57173E-02 6.37826E-03 1.89653E-03 8.27479E-03 4.54944E-03 0.028859 5 1 50.0 0.0 180.0 4.48822E-02 6.59641E-03 1.90680E-03 8.50321E-03 4.70504E-03 0.042485 5 4 50.0 45.0 135.0 4.78281E-02 6.51157E-03 1.98654E-03 8.49810E-03 4.64452E-03 0.041535 5 7 50.0 90.0 90.0 6.35754E-02 6.46173E-03 2.56822E-03 9.02995E-03 4.60898E-03 0.040396 4 1 60.0 0.0 180.0 5.32759E-02 6.51532E-03 4.44196E-03 1.09573E-02 4.64720E-03 0.083377 4 4 60.0 45.0 135.0 5.44816E-02 6.42129E-03 4.38636E-03 1.08077E-02 4.58013E-03 0.080511 4 7 60.0 90.0 90.0 6.72777E-02 6.46407E-03 5.12227E-03 1.15863E-02 4.61064E-03 0.076136 3 1 70.0 0.0 180.0 7.39207E-02 6.04987E-03 1.22699E-02 1.83198E-02 4.31521E-03 0.165987 3 4 70.0 45.0 135.0 7.18401E-02 6.02711E-03 1.18059E-02 1.78330E-02 4.29897E-03 0.164336 3 7 70.0 90.0 90.0 8.03156E-02 6.08590E-03 1.28384E-02 1.89243E-02 4.34091E-03 0.159849 2 1 80.0 0.0 180.0 1.25592E-01 5.18071E-03 3.04993E-02 3.56800E-02 3.69526E-03 0.242843 2 4 80.0 45.0 135.0 1.16296E-01 5.14871E-03 2.94991E-02 3.46478E-02 3.67243E-03 0.253655 2 7 80.0 90.0 90.0 1.15541E-01 5.21620E-03 3.08936E-02 3.61098E-02 3.72057E-03 0.267382 1 1 87.5 0.0 180.0 2.03060E-01 4.16574E-03 5.37897E-02 5.79555E-02 2.97131E-03 0.264896 1 4 87.5 45.0 135.0 1.82830E-01 3.94266E-03 5.34576E-02 5.74003E-02 2.81219E-03 0.292389 1 7 87.5 90.0 90.0 1.66335E-01 4.43246E-03 5.47104E-02 5.91428E-02 3.16156E-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 1.396E-02 1.073E-01 1.305E-01 1.127E-01 1.686E-01 9.955E-03 4.805E+00 6.110E-03 4.358E-03 1 0.00 0.00 1.134E-02 1.998E-01 2.061E-02 2.403E-02 3.349E-02 8.213E-03 4.001E+00 3 1.46 5.00 8.181E-03 2.955E-01 1.652E-02 2.120E-02 3.401E-02 9.124E-03 4.285E+00 5 3.33 10.00 5.317E-03 2.717E-01 1.284E-02 1.674E-02 2.643E-02 9.929E-03 4.596E+00 7 5.87 15.00 2.742E-03 1.810E-01 8.556E-03 1.104E-02 1.650E-02 9.766E-03 4.957E+00 9 8.54 20.00 1.151E-03 9.963E-02 4.479E-03 5.605E-03 7.819E-03 8.198E-03 5.091E+00 11 10.39 25.00 5.543E-04 5.930E-02 2.035E-03 2.465E-03 3.264E-03 6.966E-03 4.718E+00 Waveband 14 of 30 completed in 3.4 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 108.8 m at 545.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 540.0 nm to 550.0 nm: Ed(diffuse) = 3.873E-01 Ed(direct) = 9.954E-01 Ed(total) = 1.383E+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 0.0145 0.0018 0.0674 3 1.459 5.000 0.0511 0.0181 0.0022 0.0714 5 3.310 10.000 0.0511 0.0257 0.0031 0.0799 7 5.810 15.000 0.0511 0.0369 0.0045 0.0925 9 8.440 20.000 0.0511 0.0297 0.0036 0.0844 11 10.273 25.000 0.0511 0.0126 0.0015 0.0652 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 0.1970 0.0000 0.1990 3 1.459 5.000 0.0020 0.2427 0.0000 0.2447 5 3.310 10.000 0.0020 0.3390 0.0000 0.3410 7 5.810 15.000 0.0020 0.4796 0.0000 0.4816 9 8.440 20.000 0.0020 0.3893 0.0000 0.3913 11 10.273 25.000 0.0020 0.1715 0.0000 0.1735 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 0.00394 0.00000 0.00494 3 1.459 5.000 0.00100 0.00485 0.00000 0.00585 5 3.310 10.000 0.00100 0.00678 0.00000 0.00778 7 5.810 15.000 0.00100 0.00959 0.00000 0.01059 9 8.440 20.000 0.00100 0.00779 0.00000 0.00878 11 10.273 25.000 0.00100 0.00343 0.00000 0.00443 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 0.0674 0.1990 0.2664 0.7470 0.00494 0.02480 3 1.459 5.000 0.0714 0.2447 0.3161 0.7742 0.00585 0.02391 5 3.310 10.000 0.0799 0.3410 0.4209 0.8102 0.00778 0.02280 7 5.810 15.000 0.0925 0.4816 0.5741 0.8389 0.01059 0.02198 9 8.440 20.000 0.0844 0.3913 0.4756 0.8226 0.00878 0.02244 11 10.273 25.000 0.0652 0.1735 0.2387 0.7269 0.00443 0.02551 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.1726E-01 8 20.00 7.3016E-01 7 30.00 5.1250E-01 6 40.00 3.2728E-01 5 50.00 1.9706E-01 4 60.00 1.1597E-01 3 70.00 6.8870E-02 2 80.00 4.2448E-02 1 87.50 3.0353E-02 1 92.50 2.4366E-02 2 100.00 1.8541E-02 3 110.00 1.3668E-02 4 120.00 1.0710E-02 5 130.00 8.9108E-03 6 140.00 7.8094E-03 7 150.00 7.1397E-03 8 160.00 6.7461E-03 9 170.00 6.5399E-03 10 180.00 6.4673E-03 Asymptotic AOP values are MUu(inf) = 0.3826 MUd(inf) = 0.7635 MU(inf) = 0.7024 R(inf) = 0.0282 Lu(inf)/Ed(inf) = 0.006087 (1/sr) k(inf) = 0.0928 (1/m) absorp(check) = 0.0652 = 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 1.6796E-01 1.9325E+00 2.1005E+00 6.4647E-02 1.3828E+00 0.3849 0.7155 0.6275 4.6752E-02 1 0.00 0.00 9.6637E-02 1.5639E+00 1.6606E+00 4.1676E-02 1.3598E+00 0.4313 0.8695 0.7938 3.0649E-02 3 1.46 5.00 7.7778E-02 1.0624E+00 1.1402E+00 3.2281E-02 8.6968E-01 0.4150 0.8186 0.7344 3.7118E-02 5 3.31 10.00 5.6743E-02 6.6036E-01 7.1710E-01 2.2718E-02 5.1470E-01 0.4004 0.7794 0.6861 4.4138E-02 7 5.81 15.00 3.3489E-02 3.6309E-01 3.9657E-01 1.2727E-02 2.7049E-01 0.3800 0.7450 0.6500 4.7054E-02 9 8.44 20.00 1.4802E-02 1.8585E-01 2.0065E-01 5.3809E-03 1.3582E-01 0.3635 0.7308 0.6501 3.9618E-02 11 10.27 25.00 6.0886E-03 1.0313E-01 1.0922E-01 2.2922E-03 7.6193E-02 0.3765 0.7388 0.6766 3.0085E-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 0.03373 0.06925 0.06718 0.04340 0.08326 0.08452 0.05876 5.000 5.010 5.005 0.04740 0.08537 0.08278 0.05518 0.09519 0.09673 0.06977 10.000 10.010 10.005 0.07491 0.10532 0.10291 0.08358 0.11448 0.11591 0.10021 15.000 15.010 15.005 0.15021 0.13463 0.13594 0.15972 0.14258 0.14174 0.17146 20.000 20.010 20.005 0.18377 0.13054 0.13447 0.19055 0.13172 0.12929 0.18545 25.000 25.010 25.005 0.10605 0.10175 0.10199 0.10058 0.09611 0.09597 0.09612 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 1.04522E-01 5.63333E-03 7.73012E-03 1.33634E-02 4.07396E-03 0.073957 9 1 10.0 0.0 180.0 6.44944E-02 5.74545E-03 2.31171E-03 8.05716E-03 4.15504E-03 0.035844 9 4 10.0 45.0 135.0 7.08620E-02 5.71211E-03 2.68042E-03 8.39253E-03 4.13093E-03 0.037826 9 7 10.0 90.0 90.0 9.57404E-02 5.68074E-03 5.58412E-03 1.12649E-02 4.10824E-03 0.058326 8 1 20.0 0.0 180.0 5.06595E-02 5.81491E-03 1.23675E-03 7.05166E-03 4.20528E-03 0.024413 8 4 20.0 45.0 135.0 5.63977E-02 5.74137E-03 1.45676E-03 7.19813E-03 4.15209E-03 0.025830 8 7 20.0 90.0 90.0 8.29301E-02 5.70467E-03 3.28474E-03 8.98941E-03 4.12555E-03 0.039609 7 1 30.0 0.0 180.0 4.39245E-02 5.91212E-03 1.05736E-03 6.96949E-03 4.27558E-03 0.024072 7 4 30.0 45.0 135.0 4.86983E-02 5.88174E-03 1.18773E-03 7.06946E-03 4.25360E-03 0.024390 7 7 30.0 90.0 90.0 7.10151E-02 5.80843E-03 2.05029E-03 7.85872E-03 4.20059E-03 0.028871 6 1 40.0 0.0 180.0 4.16927E-02 5.98094E-03 1.17566E-03 7.15659E-03 4.32534E-03 0.028198 6 4 40.0 45.0 135.0 4.55887E-02 5.93647E-03 1.27508E-03 7.21154E-03 4.29318E-03 0.027969 6 7 40.0 90.0 90.0 6.40058E-02 5.86996E-03 1.84741E-03 7.71736E-03 4.24509E-03 0.028863 5 1 50.0 0.0 180.0 4.37134E-02 6.07062E-03 1.85714E-03 7.92777E-03 4.39020E-03 0.042485 5 4 50.0 45.0 135.0 4.65825E-02 5.99084E-03 1.93480E-03 7.92565E-03 4.33251E-03 0.041535 5 7 50.0 90.0 90.0 6.19197E-02 5.94247E-03 2.50133E-03 8.44380E-03 4.29752E-03 0.040396 4 1 60.0 0.0 180.0 5.18885E-02 5.99135E-03 4.32628E-03 1.03176E-02 4.33288E-03 0.083377 4 4 60.0 45.0 135.0 5.30628E-02 5.90316E-03 4.27212E-03 1.01753E-02 4.26910E-03 0.080511 4 7 60.0 90.0 90.0 6.55255E-02 5.94033E-03 4.98887E-03 1.09292E-02 4.29598E-03 0.076136 3 1 70.0 0.0 180.0 7.19956E-02 5.55831E-03 1.19503E-02 1.75087E-02 4.01971E-03 0.165987 3 4 70.0 45.0 135.0 6.99692E-02 5.53587E-03 1.14984E-02 1.70343E-02 4.00348E-03 0.164336 3 7 70.0 90.0 90.0 7.82239E-02 5.58862E-03 1.25040E-02 1.80926E-02 4.04163E-03 0.159849 2 1 80.0 0.0 180.0 1.22322E-01 4.75581E-03 2.97050E-02 3.44608E-02 3.43934E-03 0.242843 2 4 80.0 45.0 135.0 1.13267E-01 4.72522E-03 2.87309E-02 3.34561E-02 3.41722E-03 0.253655 2 7 80.0 90.0 90.0 1.12532E-01 4.78698E-03 3.00891E-02 3.48760E-02 3.46189E-03 0.267382 1 1 87.5 0.0 180.0 1.97772E-01 3.82105E-03 5.23889E-02 5.62099E-02 2.76334E-03 0.264896 1 4 87.5 45.0 135.0 1.78069E-01 3.61573E-03 5.20654E-02 5.56812E-02 2.61486E-03 0.292389 1 7 87.5 90.0 90.0 1.62004E-01 4.06561E-03 5.32855E-02 5.73512E-02 2.94020E-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 1.336E-02 1.045E-01 1.270E-01 1.097E-01 1.641E-01 9.664E-03 4.838E+00 5.633E-03 4.074E-03 1 0.00 0.00 1.045E-02 1.946E-01 1.887E-02 2.209E-02 3.099E-02 7.686E-03 3.988E+00 3 1.46 5.00 7.560E-03 2.838E-01 1.509E-02 1.945E-02 3.142E-02 8.692E-03 4.270E+00 5 3.31 10.00 4.944E-03 2.597E-01 1.184E-02 1.549E-02 2.458E-02 9.606E-03 4.595E+00 7 5.81 15.00 2.552E-03 1.741E-01 8.044E-03 1.042E-02 1.566E-02 9.434E-03 4.988E+00 9 8.44 20.00 1.046E-03 9.658E-02 4.188E-03 5.265E-03 7.398E-03 7.705E-03 5.142E+00 11 10.27 25.00 4.850E-04 5.716E-02 1.810E-03 2.204E-03 2.941E-03 6.365E-03 4.726E+00 Waveband 15 of 30 completed in 3.6 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 107.8 m at 555.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 550.0 nm to 560.0 nm: Ed(diffuse) = 3.803E-01 Ed(direct) = 9.931E-01 Ed(total) = 1.373E+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 0.0122 0.0015 0.0734 3 1.466 5.000 0.0596 0.0152 0.0019 0.0767 5 3.314 10.000 0.0596 0.0216 0.0027 0.0839 7 5.792 15.000 0.0596 0.0311 0.0039 0.0946 9 8.395 20.000 0.0596 0.0250 0.0031 0.0877 11 10.225 25.000 0.0596 0.0106 0.0013 0.0715 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 0.1934 0.0000 0.1953 3 1.466 5.000 0.0018 0.2383 0.0000 0.2402 5 3.314 10.000 0.0018 0.3329 0.0000 0.3347 7 5.792 15.000 0.0018 0.4709 0.0000 0.4728 9 8.395 20.000 0.0018 0.3823 0.0000 0.3841 11 10.225 25.000 0.0018 0.1684 0.0000 0.1703 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 0.00387 0.00000 0.00479 3 1.466 5.000 0.00092 0.00477 0.00000 0.00569 5 3.314 10.000 0.00092 0.00666 0.00000 0.00758 7 5.792 15.000 0.00092 0.00942 0.00000 0.01034 9 8.395 20.000 0.00092 0.00765 0.00000 0.00857 11 10.225 25.000 0.00092 0.00337 0.00000 0.00429 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 0.0734 0.1953 0.2686 0.7269 0.00479 0.02452 3 1.466 5.000 0.0767 0.2402 0.3169 0.7579 0.00569 0.02368 5 3.314 10.000 0.0839 0.3347 0.4186 0.7995 0.00758 0.02264 7 5.792 15.000 0.0946 0.4728 0.5674 0.8333 0.01034 0.02187 9 8.395 20.000 0.0877 0.3841 0.4718 0.8141 0.00857 0.02230 11 10.225 25.000 0.0715 0.1703 0.2418 0.7043 0.00429 0.02519 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.1138E-01 8 20.00 7.1355E-01 7 30.00 4.8886E-01 6 40.00 3.0354E-01 5 50.00 1.7768E-01 4 60.00 1.0195E-01 3 70.00 5.9305E-02 2 80.00 3.5982E-02 1 87.50 2.5506E-02 1 92.50 2.0393E-02 2 100.00 1.5447E-02 3 110.00 1.1343E-02 4 120.00 8.8766E-03 5 130.00 7.3886E-03 6 140.00 6.4849E-03 7 150.00 5.9395E-03 8 160.00 5.6213E-03 9 170.00 5.4555E-03 10 180.00 5.3972E-03 Asymptotic AOP values are MUu(inf) = 0.3821 MUd(inf) = 0.7736 MU(inf) = 0.7186 R(inf) = 0.0247 Lu(inf)/Ed(inf) = 0.005344 (1/sr) k(inf) = 0.0995 (1/m) absorp(check) = 0.0715 = 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 1.6215E-01 1.9156E+00 2.0777E+00 6.2167E-02 1.3734E+00 0.3834 0.7169 0.6311 4.5267E-02 1 0.00 0.00 8.6142E-02 1.5451E+00 1.6312E+00 3.7093E-02 1.3483E+00 0.4306 0.8726 0.8038 2.7512E-02 3 1.47 5.00 6.8531E-02 1.0162E+00 1.0847E+00 2.8448E-02 8.3625E-01 0.4151 0.8229 0.7447 3.4019E-02 5 3.31 10.00 4.9909E-02 6.1561E-01 6.6552E-01 1.9986E-02 4.8281E-01 0.4005 0.7843 0.6954 4.1396E-02 7 5.79 15.00 2.9426E-02 3.3398E-01 3.6340E-01 1.1139E-02 2.5022E-01 0.3785 0.7492 0.6579 4.4516E-02 9 8.39 20.00 1.2588E-02 1.6882E-01 1.8141E-01 4.5398E-03 1.2412E-01 0.3606 0.7352 0.6592 3.6577E-02 11 10.22 25.00 4.8140E-03 9.1050E-02 9.5864E-02 1.8062E-03 6.7822E-02 0.3752 0.7449 0.6886 2.6631E-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 0.03571 0.07557 0.07346 0.04579 0.08968 0.09092 0.06118 5.000 5.010 5.005 0.04808 0.09150 0.08876 0.05580 0.10100 0.10259 0.07071 10.000 10.010 10.005 0.07409 0.10952 0.10686 0.08320 0.11861 0.12014 0.10092 15.000 15.010 15.005 0.15407 0.13596 0.13742 0.16431 0.14410 0.14316 0.17685 20.000 20.010 20.005 0.19458 0.13411 0.13830 0.20216 0.13508 0.13254 0.19699 25.000 25.010 25.005 0.11474 0.10986 0.11010 0.10840 0.10355 0.10341 0.10311 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 1.02609E-01 5.03204E-03 7.66958E-03 1.27016E-02 3.66406E-03 0.074746 9 1 10.0 0.0 180.0 6.33137E-02 5.13448E-03 2.28026E-03 7.41474E-03 3.73865E-03 0.036015 9 4 10.0 45.0 135.0 6.95647E-02 5.10355E-03 2.64533E-03 7.74889E-03 3.71613E-03 0.038027 9 7 10.0 90.0 90.0 9.39876E-02 5.07287E-03 5.53199E-03 1.06049E-02 3.69379E-03 0.058859 8 1 20.0 0.0 180.0 4.97320E-02 5.19606E-03 1.21465E-03 6.41072E-03 3.78349E-03 0.024424 8 4 20.0 45.0 135.0 5.53652E-02 5.12842E-03 1.43151E-03 6.55993E-03 3.73423E-03 0.025856 8 7 20.0 90.0 90.0 8.14118E-02 5.09135E-03 3.24366E-03 8.33501E-03 3.70724E-03 0.039843 7 1 30.0 0.0 180.0 4.31204E-02 5.28133E-03 1.03801E-03 6.31933E-03 3.84557E-03 0.024072 7 4 30.0 45.0 135.0 4.78071E-02 5.25147E-03 1.16605E-03 6.41753E-03 3.82384E-03 0.024391 7 7 30.0 90.0 90.0 6.97125E-02 5.18020E-03 2.01650E-03 7.19671E-03 3.77194E-03 0.028926 6 1 40.0 0.0 180.0 4.09294E-02 5.33875E-03 1.15413E-03 6.49289E-03 3.88739E-03 0.028198 6 4 40.0 45.0 135.0 4.47541E-02 5.29551E-03 1.25173E-03 6.54725E-03 3.85590E-03 0.027969 6 7 40.0 90.0 90.0 6.28340E-02 5.22893E-03 1.81383E-03 7.04276E-03 3.80742E-03 0.028867 5 1 50.0 0.0 180.0 4.29131E-02 5.41411E-03 1.82314E-03 7.23726E-03 3.94226E-03 0.042485 5 4 50.0 45.0 135.0 4.57297E-02 5.33894E-03 1.89938E-03 7.23832E-03 3.88752E-03 0.041535 5 7 50.0 90.0 90.0 6.07861E-02 5.28806E-03 2.45554E-03 7.74360E-03 3.85048E-03 0.040396 4 1 60.0 0.0 180.0 5.09385E-02 5.33853E-03 4.24708E-03 9.58561E-03 3.88722E-03 0.083377 4 4 60.0 45.0 135.0 5.20913E-02 5.25568E-03 4.19391E-03 9.44959E-03 3.82690E-03 0.080511 4 7 60.0 90.0 90.0 6.43259E-02 5.28100E-03 4.89754E-03 1.01785E-02 3.84533E-03 0.076136 3 1 70.0 0.0 180.0 7.06776E-02 4.94767E-03 1.17316E-02 1.66792E-02 3.60262E-03 0.165987 3 4 70.0 45.0 135.0 6.86883E-02 4.92369E-03 1.12879E-02 1.62116E-02 3.58516E-03 0.164336 3 7 70.0 90.0 90.0 7.67918E-02 4.96398E-03 1.22751E-02 1.72391E-02 3.61450E-03 0.159849 2 1 80.0 0.0 180.0 1.20082E-01 4.22959E-03 2.91612E-02 3.33908E-02 3.07975E-03 0.242843 2 4 80.0 45.0 135.0 1.11194E-01 4.19901E-03 2.82049E-02 3.24039E-02 3.05749E-03 0.253655 2 7 80.0 90.0 90.0 1.10472E-01 4.24917E-03 2.95382E-02 3.37874E-02 3.09401E-03 0.267382 1 1 87.5 0.0 180.0 1.94151E-01 3.39569E-03 5.14298E-02 5.48255E-02 2.47256E-03 0.264896 1 4 87.5 45.0 135.0 1.74809E-01 3.21089E-03 5.11122E-02 5.43231E-02 2.33799E-03 0.292389 1 7 87.5 90.0 90.0 1.59038E-01 3.60744E-03 5.23100E-02 5.59175E-02 2.62674E-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 1.270E-02 1.026E-01 1.245E-01 1.075E-01 1.609E-01 9.249E-03 4.894E+00 5.032E-03 3.664E-03 1 0.00 0.00 9.336E-03 1.910E-01 1.681E-02 1.974E-02 2.796E-02 6.925E-03 3.973E+00 3 1.47 5.00 6.691E-03 2.709E-01 1.326E-02 1.718E-02 2.800E-02 8.001E-03 4.252E+00 5 3.31 10.00 4.358E-03 2.431E-01 1.036E-02 1.361E-02 2.176E-02 9.026E-03 4.586E+00 7 5.79 15.00 2.223E-03 1.615E-01 7.089E-03 9.218E-03 1.395E-02 8.883E-03 5.011E+00 9 8.39 20.00 8.758E-04 8.898E-02 3.606E-03 4.554E-03 6.448E-03 7.056E-03 5.184E+00 11 10.22 25.00 3.828E-04 5.162E-02 1.447E-03 1.770E-03 2.381E-03 5.645E-03 4.718E+00 Waveband 16 of 30 completed in 3.5 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 107.8 m at 565.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 560.0 nm to 570.0 nm: Ed(diffuse) = 3.727E-01 Ed(direct) = 9.883E-01 Ed(total) = 1.361E+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 0.0103 0.0013 0.0759 3 1.458 5.000 0.0642 0.0128 0.0017 0.0787 5 3.286 10.000 0.0642 0.0182 0.0023 0.0848 7 5.728 15.000 0.0642 0.0262 0.0034 0.0938 9 8.291 20.000 0.0642 0.0211 0.0027 0.0880 11 10.102 25.000 0.0642 0.0089 0.0011 0.0743 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 0.1900 0.0000 0.1917 3 1.458 5.000 0.0017 0.2341 0.0000 0.2358 5 3.286 10.000 0.0017 0.3270 0.0000 0.3287 7 5.728 15.000 0.0017 0.4626 0.0000 0.4643 9 8.291 20.000 0.0017 0.3755 0.0000 0.3772 11 10.102 25.000 0.0017 0.1655 0.0000 0.1672 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 0.00380 0.00000 0.00465 3 1.458 5.000 0.00085 0.00468 0.00000 0.00553 5 3.286 10.000 0.00085 0.00654 0.00000 0.00739 7 5.728 15.000 0.00085 0.00925 0.00000 0.01010 9 8.291 20.000 0.00085 0.00751 0.00000 0.00836 11 10.102 25.000 0.00085 0.00331 0.00000 0.00416 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 0.0759 0.1917 0.2676 0.7165 0.00465 0.02427 3 1.458 5.000 0.0787 0.2358 0.3145 0.7498 0.00553 0.02347 5 3.286 10.000 0.0848 0.3287 0.4135 0.7949 0.00739 0.02249 7 5.728 15.000 0.0938 0.4643 0.5581 0.8319 0.01010 0.02176 9 8.291 20.000 0.0880 0.3772 0.4652 0.8108 0.00836 0.02217 11 10.102 25.000 0.0743 0.1672 0.2415 0.6924 0.00416 0.02489 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.0824E-01 8 20.00 7.0479E-01 7 30.00 4.7665E-01 6 40.00 2.9159E-01 5 50.00 1.6817E-01 4 60.00 9.5231E-02 3 70.00 5.4802E-02 2 80.00 3.2978E-02 1 87.50 2.3268E-02 1 92.50 1.8563E-02 2 100.00 1.4023E-02 3 110.00 1.0272E-02 4 120.00 8.0285E-03 5 130.00 6.6806E-03 6 140.00 5.8652E-03 7 150.00 5.3749E-03 8 160.00 5.0899E-03 9 170.00 4.9418E-03 10 180.00 4.8898E-03 Asymptotic AOP values are MUu(inf) = 0.3816 MUd(inf) = 0.7787 MU(inf) = 0.7269 R(inf) = 0.0229 Lu(inf)/Ed(inf) = 0.004971 (1/sr) k(inf) = 0.1022 (1/m) absorp(check) = 0.0743 = 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 1.5803E-01 1.8948E+00 2.0528E+00 6.0582E-02 1.3609E+00 0.3834 0.7183 0.6335 4.4515E-02 1 0.00 0.00 8.0742E-02 1.5271E+00 1.6079E+00 3.4756E-02 1.3351E+00 0.4305 0.8743 0.8087 2.6032E-02 3 1.46 5.00 6.4293E-02 9.9216E-01 1.0565E+00 2.6714E-02 8.1895E-01 0.4155 0.8254 0.7499 3.2620E-02 5 3.29 10.00 4.7250E-02 5.9743E-01 6.4468E-01 1.8935E-02 4.7016E-01 0.4007 0.7870 0.6999 4.0273E-02 7 5.73 15.00 2.8175E-02 3.2554E-01 3.5371E-01 1.0638E-02 2.4459E-01 0.3776 0.7513 0.6614 4.3494E-02 9 8.29 20.00 1.1953E-02 1.6547E-01 1.7742E-01 4.2876E-03 1.2199E-01 0.3587 0.7372 0.6634 3.5146E-02 11 10.10 25.00 4.4144E-03 8.8580E-02 9.2994E-02 1.6521E-03 6.6243E-02 0.3743 0.7478 0.6946 2.4940E-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 0.03575 0.07823 0.07610 0.04586 0.09222 0.09346 0.06112 5.000 5.010 5.005 0.04669 0.09357 0.09072 0.05438 0.10289 0.10452 0.06953 10.000 10.010 10.005 0.07141 0.10991 0.10709 0.08086 0.11901 0.12061 0.09941 15.000 15.010 15.005 0.15387 0.13392 0.13551 0.16470 0.14226 0.14124 0.17783 20.000 20.010 20.005 0.19905 0.13385 0.13824 0.20712 0.13475 0.13211 0.20185 25.000 25.010 25.005 0.11853 0.11330 0.11355 0.11167 0.10663 0.10650 0.10589 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 1.00566E-01 4.72409E-03 7.59293E-03 1.23170E-02 3.47119E-03 0.075502 9 1 10.0 0.0 180.0 6.20534E-02 4.82049E-03 2.24508E-03 7.06557E-03 3.54202E-03 0.036180 9 4 10.0 45.0 135.0 6.81800E-02 4.79118E-03 2.60581E-03 7.39699E-03 3.52049E-03 0.038220 9 7 10.0 90.0 90.0 9.21168E-02 4.76181E-03 5.46891E-03 1.02307E-02 3.49890E-03 0.059369 8 1 20.0 0.0 180.0 4.87421E-02 4.87763E-03 1.19099E-03 6.06862E-03 3.58401E-03 0.024435 8 4 20.0 45.0 135.0 5.42631E-02 4.81367E-03 1.40435E-03 6.21802E-03 3.53701E-03 0.025880 8 7 20.0 90.0 90.0 7.97913E-02 4.77797E-03 3.19698E-03 7.97495E-03 3.51078E-03 0.040067 7 1 30.0 0.0 180.0 4.22620E-02 4.95654E-03 1.01734E-03 5.97388E-03 3.64199E-03 0.024072 7 4 30.0 45.0 135.0 4.68559E-02 4.92786E-03 1.14290E-03 6.07077E-03 3.62092E-03 0.024392 7 7 30.0 90.0 90.0 6.83224E-02 4.85982E-03 1.97988E-03 6.83970E-03 3.57092E-03 0.028978 6 1 40.0 0.0 180.0 4.01147E-02 5.00810E-03 1.13116E-03 6.13926E-03 3.67988E-03 0.028198 6 4 40.0 45.0 135.0 4.38632E-02 4.96669E-03 1.22682E-03 6.19351E-03 3.64945E-03 0.027969 6 7 40.0 90.0 90.0 6.15833E-02 4.90295E-03 1.77795E-03 6.68090E-03 3.60261E-03 0.028871 5 1 50.0 0.0 180.0 4.20589E-02 5.07616E-03 1.78685E-03 6.86301E-03 3.72988E-03 0.042485 5 4 50.0 45.0 135.0 4.48194E-02 5.00476E-03 1.86157E-03 6.86634E-03 3.67742E-03 0.041535 5 7 50.0 90.0 90.0 5.95761E-02 4.95596E-03 2.40666E-03 7.36262E-03 3.64156E-03 0.040396 4 1 60.0 0.0 180.0 4.99246E-02 5.00253E-03 4.16254E-03 9.16507E-03 3.67578E-03 0.083377 4 4 60.0 45.0 135.0 5.10544E-02 4.92399E-03 4.11043E-03 9.03442E-03 3.61807E-03 0.080511 4 7 60.0 90.0 90.0 6.30455E-02 4.94696E-03 4.80005E-03 9.74701E-03 3.63495E-03 0.076136 3 1 70.0 0.0 180.0 6.92707E-02 4.63331E-03 1.14980E-02 1.61314E-02 3.40448E-03 0.165987 3 4 70.0 45.0 135.0 6.73210E-02 4.61011E-03 1.10633E-02 1.56734E-02 3.38743E-03 0.164336 3 7 70.0 90.0 90.0 7.52633E-02 4.64775E-03 1.20308E-02 1.66785E-02 3.41510E-03 0.159849 2 1 80.0 0.0 180.0 1.17692E-01 3.95854E-03 2.85807E-02 3.25392E-02 2.90867E-03 0.242843 2 4 80.0 45.0 135.0 1.08980E-01 3.92938E-03 2.76435E-02 3.15729E-02 2.88724E-03 0.253655 2 7 80.0 90.0 90.0 1.08273E-01 3.97690E-03 2.89502E-02 3.29271E-02 2.92217E-03 0.267382 1 1 87.5 0.0 180.0 1.90286E-01 3.17634E-03 5.04061E-02 5.35824E-02 2.33393E-03 0.264896 1 4 87.5 45.0 135.0 1.71329E-01 3.00323E-03 5.00948E-02 5.30981E-02 2.20672E-03 0.292389 1 7 87.5 90.0 90.0 1.55872E-01 3.37525E-03 5.12688E-02 5.46440E-02 2.48009E-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 1.232E-02 1.006E-01 1.219E-01 1.053E-01 1.576E-01 9.050E-03 4.919E+00 4.724E-03 3.471E-03 1 0.00 0.00 8.765E-03 1.872E-01 1.571E-02 1.852E-02 2.638E-02 6.565E-03 3.965E+00 3 1.46 5.00 6.299E-03 2.627E-01 1.237E-02 1.609E-02 2.637E-02 7.692E-03 4.241E+00 5 3.29 10.00 4.130E-03 2.352E-01 9.748E-03 1.284E-02 2.062E-02 8.785E-03 4.585E+00 7 5.73 15.00 2.114E-03 1.574E-01 6.786E-03 8.851E-03 1.346E-02 8.642E-03 5.033E+00 9 8.29 20.00 8.219E-04 8.750E-02 3.445E-03 4.369E-03 6.225E-03 6.737E-03 5.217E+00 11 10.10 25.00 3.500E-04 5.063E-02 1.334E-03 1.639E-03 2.220E-03 5.284E-03 4.720E+00 Waveband 17 of 30 completed in 3.5 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 104.7 m at 575.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 570.0 nm to 580.0 nm: Ed(diffuse) = 3.691E-01 Ed(direct) = 9.928E-01 Ed(total) = 1.362E+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 0.0099 0.0012 0.0883 3 1.500 5.000 0.0772 0.0124 0.0014 0.0910 5 3.364 10.000 0.0772 0.0176 0.0020 0.0968 7 5.830 15.000 0.0772 0.0253 0.0029 0.1054 9 8.415 20.000 0.0772 0.0203 0.0024 0.0999 11 10.262 25.000 0.0772 0.0086 0.0010 0.0868 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 0.1867 0.0000 0.1883 3 1.500 5.000 0.0016 0.2300 0.0000 0.2316 5 3.364 10.000 0.0016 0.3213 0.0000 0.3229 7 5.830 15.000 0.0016 0.4546 0.0000 0.4561 9 8.415 20.000 0.0016 0.3690 0.0000 0.3706 11 10.262 25.000 0.0016 0.1626 0.0000 0.1642 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 0.00373 0.00000 0.00452 3 1.500 5.000 0.00079 0.00460 0.00000 0.00539 5 3.364 10.000 0.00079 0.00643 0.00000 0.00722 7 5.830 15.000 0.00079 0.00909 0.00000 0.00988 9 8.415 20.000 0.00079 0.00738 0.00000 0.00817 11 10.262 25.000 0.00079 0.00325 0.00000 0.00404 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 0.0883 0.1883 0.2766 0.6808 0.00452 0.02403 3 1.500 5.000 0.0910 0.2316 0.3226 0.7179 0.00539 0.02327 5 3.364 10.000 0.0968 0.3229 0.4197 0.7693 0.00722 0.02235 7 5.830 15.000 0.1054 0.4561 0.5615 0.8123 0.00988 0.02166 9 8.415 20.000 0.0999 0.3706 0.4704 0.7877 0.00817 0.02205 11 10.262 25.000 0.0868 0.1642 0.2510 0.6541 0.00404 0.02462 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.9774E-01 8 20.00 6.7623E-01 7 30.00 4.3826E-01 6 40.00 2.5554E-01 5 50.00 1.4070E-01 4 60.00 7.6571E-02 3 70.00 4.2735E-02 2 80.00 2.5164E-02 1 87.50 1.7558E-02 1 92.50 1.3946E-02 2 100.00 1.0485E-02 3 110.00 7.6550E-03 4 120.00 5.9848E-03 5 130.00 4.9930E-03 6 140.00 4.3998E-03 7 150.00 4.0475E-03 8 160.00 3.8451E-03 9 170.00 3.7409E-03 10 180.00 3.7044E-03 Asymptotic AOP values are MUu(inf) = 0.3818 MUd(inf) = 0.7941 MU(inf) = 0.7502 R(inf) = 0.0187 Lu(inf)/Ed(inf) = 0.004094 (1/sr) k(inf) = 0.1157 (1/m) absorp(check) = 0.0868 = 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 1.5192E-01 1.8929E+00 2.0448E+00 5.7712E-02 1.3619E+00 0.3799 0.7195 0.6378 4.2375E-02 1 0.00 0.00 6.6827E-02 1.5168E+00 1.5837E+00 2.8560E-02 1.3328E+00 0.4274 0.8787 0.8235 2.1429E-02 3 1.50 5.00 5.0399E-02 9.1733E-01 9.6773E-01 2.0832E-02 7.6305E-01 0.4134 0.8318 0.7670 2.7301E-02 5 3.36 10.00 3.5319E-02 5.1426E-01 5.4957E-01 1.4113E-02 4.0902E-01 0.3996 0.7954 0.7186 3.4506E-02 7 5.83 15.00 2.0065E-02 2.6173E-01 2.8179E-01 7.5496E-03 1.9909E-01 0.3762 0.7607 0.6797 3.7921E-02 9 8.41 20.00 7.8853E-03 1.2428E-01 1.3217E-01 2.8198E-03 9.2899E-02 0.3576 0.7475 0.6816 3.0353E-02 11 10.26 25.00 2.6128E-03 6.1929E-02 6.4542E-02 9.7996E-04 4.7041E-02 0.3751 0.7596 0.7137 2.0832E-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 0.04453 0.09143 0.08945 0.05600 0.10582 0.10691 0.07141 5.000 5.010 5.005 0.05596 0.10807 0.10536 0.06334 0.11674 0.11824 0.07812 10.000 10.010 10.005 0.07975 0.12400 0.12116 0.08904 0.13260 0.13416 0.10770 15.000 15.010 15.005 0.16787 0.14718 0.14865 0.17855 0.15530 0.15438 0.19133 20.000 20.010 20.005 0.21741 0.14766 0.15182 0.22559 0.14828 0.14586 0.22035 25.000 25.010 25.005 0.13308 0.12820 0.12840 0.12528 0.12110 0.12101 0.11841 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 9.96014E-02 3.88388E-03 7.59163E-03 1.14755E-02 2.85174E-03 0.076220 9 1 10.0 0.0 180.0 6.14581E-02 3.96872E-03 2.23314E-03 6.20187E-03 2.91403E-03 0.036336 9 4 10.0 45.0 135.0 6.75259E-02 3.94239E-03 2.59317E-03 6.53556E-03 2.89470E-03 0.038403 9 7 10.0 90.0 90.0 9.12331E-02 3.91300E-03 5.46070E-03 9.37370E-03 2.87312E-03 0.059854 8 1 20.0 0.0 180.0 4.82745E-02 4.01699E-03 1.18005E-03 5.19704E-03 2.94947E-03 0.024445 8 4 20.0 45.0 135.0 5.37425E-02 3.96061E-03 1.39214E-03 5.35275E-03 2.90808E-03 0.025904 8 7 20.0 90.0 90.0 7.90258E-02 3.92275E-03 3.18315E-03 7.10589E-03 2.88028E-03 0.040280 7 1 30.0 0.0 180.0 4.18566E-02 4.08187E-03 1.00758E-03 5.08945E-03 2.99711E-03 0.024072 7 4 30.0 45.0 135.0 4.64068E-02 4.05308E-03 1.13200E-03 5.18508E-03 2.97597E-03 0.024393 7 7 30.0 90.0 90.0 6.76647E-02 3.98552E-03 1.96420E-03 5.94972E-03 2.92637E-03 0.029028 6 1 40.0 0.0 180.0 3.97298E-02 4.12199E-03 1.12031E-03 5.24230E-03 3.02657E-03 0.028198 6 4 40.0 45.0 135.0 4.34424E-02 4.08116E-03 1.21505E-03 5.29621E-03 2.99659E-03 0.027969 6 7 40.0 90.0 90.0 6.09925E-02 4.01410E-03 1.76111E-03 5.77521E-03 2.94735E-03 0.028874 5 1 50.0 0.0 180.0 4.16554E-02 4.17509E-03 1.76971E-03 5.94480E-03 3.06556E-03 0.042485 5 4 50.0 45.0 135.0 4.43895E-02 4.10869E-03 1.84371E-03 5.95240E-03 3.01680E-03 0.041535 5 7 50.0 90.0 90.0 5.90046E-02 4.05250E-03 2.38357E-03 6.43607E-03 2.97554E-03 0.040396 4 1 60.0 0.0 180.0 4.94456E-02 4.11168E-03 4.12261E-03 8.23429E-03 3.01900E-03 0.083377 4 4 60.0 45.0 135.0 5.05646E-02 4.03891E-03 4.07100E-03 8.10991E-03 2.96557E-03 0.080511 4 7 60.0 90.0 90.0 6.24407E-02 4.04104E-03 4.75400E-03 8.79504E-03 2.96713E-03 0.076136 3 1 70.0 0.0 180.0 6.86062E-02 3.80607E-03 1.13877E-02 1.51938E-02 2.79461E-03 0.165987 3 4 70.0 45.0 135.0 6.66752E-02 3.77915E-03 1.09571E-02 1.47363E-02 2.77484E-03 0.164336 3 7 70.0 90.0 90.0 7.45412E-02 3.79498E-03 1.19153E-02 1.57103E-02 2.78646E-03 0.159849 2 1 80.0 0.0 180.0 1.16563E-01 3.25071E-03 2.83065E-02 3.15572E-02 2.38683E-03 0.242843 2 4 80.0 45.0 135.0 1.07935E-01 3.22009E-03 2.73783E-02 3.05984E-02 2.36435E-03 0.253655 2 7 80.0 90.0 90.0 1.07234E-01 3.24718E-03 2.86725E-02 3.19197E-02 2.38424E-03 0.267382 1 1 87.5 0.0 180.0 1.88461E-01 2.60849E-03 4.99225E-02 5.25310E-02 1.91528E-03 0.264896 1 4 87.5 45.0 135.0 1.69686E-01 2.46145E-03 4.96143E-02 5.20757E-02 1.80732E-03 0.292389 1 7 87.5 90.0 90.0 1.54377E-01 2.75778E-03 5.07769E-02 5.35347E-02 2.02490E-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 1.148E-02 9.960E-02 1.205E-01 1.040E-01 1.557E-01 8.426E-03 5.029E+00 3.884E-03 2.852E-03 1 0.00 0.00 7.207E-03 1.854E-01 1.310E-02 1.552E-02 2.240E-02 5.407E-03 3.963E+00 3 1.50 5.00 4.932E-03 2.441E-01 9.833E-03 1.288E-02 2.139E-02 6.463E-03 4.224E+00 5 3.36 10.00 3.097E-03 2.059E-01 7.342E-03 9.731E-03 1.579E-02 7.571E-03 4.557E+00 7 5.83 15.00 1.507E-03 1.303E-01 4.874E-03 6.389E-03 9.802E-03 7.568E-03 5.011E+00 9 8.41 20.00 5.429E-04 6.843E-02 2.292E-03 2.919E-03 4.191E-03 5.844E-03 5.194E+00 11 10.26 25.00 2.105E-04 3.727E-02 7.920E-04 9.754E-04 1.329E-03 4.475E-03 4.655E+00 Waveband 18 of 30 completed in 3.5 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 96.2 m at 585.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 580.0 nm to 590.0 nm: Ed(diffuse) = 3.569E-01 Ed(direct) = 9.725E-01 Ed(total) = 1.329E+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 0.0103 0.0010 0.1213 3 1.647 5.000 0.1100 0.0128 0.0012 0.1241 5 3.653 10.000 0.1100 0.0182 0.0018 0.1300 7 6.251 15.000 0.1100 0.0262 0.0026 0.1388 9 8.966 20.000 0.1100 0.0211 0.0021 0.1331 11 10.956 25.000 0.1100 0.0089 0.0009 0.1198 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 0.1835 0.0000 0.1850 3 1.647 5.000 0.0015 0.2261 0.0000 0.2276 5 3.653 10.000 0.0015 0.3158 0.0000 0.3173 7 6.251 15.000 0.0015 0.4468 0.0000 0.4483 9 8.966 20.000 0.0015 0.3627 0.0000 0.3641 11 10.956 25.000 0.0015 0.1598 0.0000 0.1613 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 0.00367 0.00000 0.00440 3 1.647 5.000 0.00073 0.00452 0.00000 0.00525 5 3.653 10.000 0.00073 0.00632 0.00000 0.00705 7 6.251 15.000 0.00073 0.00894 0.00000 0.00967 9 8.966 20.000 0.00073 0.00725 0.00000 0.00799 11 10.956 25.000 0.00073 0.00320 0.00000 0.00393 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 0.1213 0.1850 0.3063 0.6039 0.00440 0.02380 3 1.647 5.000 0.1241 0.2276 0.3517 0.6471 0.00525 0.02309 5 3.653 10.000 0.1300 0.3173 0.4473 0.7093 0.00705 0.02222 7 6.251 15.000 0.1388 0.4483 0.5871 0.7636 0.00967 0.02157 9 8.966 20.000 0.1331 0.3641 0.4973 0.7323 0.00799 0.02193 11 10.956 25.000 0.1198 0.1613 0.2811 0.5738 0.00393 0.02436 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.7331E-01 8 20.00 6.1360E-01 7 30.00 3.6101E-01 6 40.00 1.8963E-01 5 50.00 9.4916E-02 4 60.00 4.7884E-02 3 70.00 2.5332E-02 2 80.00 1.4413E-02 1 87.50 9.9008E-03 1 92.50 7.8295E-03 2 100.00 5.8588E-03 3 110.00 4.2723E-03 4 120.00 3.3560E-03 5 130.00 2.8225E-03 6 140.00 2.5104E-03 7 150.00 2.3297E-03 8 160.00 2.2286E-03 9 170.00 2.1778E-03 10 180.00 2.1600E-03 Asymptotic AOP values are MUu(inf) = 0.3843 MUd(inf) = 0.8232 MU(inf) = 0.7914 R(inf) = 0.0126 Lu(inf)/Ed(inf) = 0.002843 (1/sr) k(inf) = 0.1514 (1/m) absorp(check) = 0.1198 = 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 1.3988E-01 1.8447E+00 1.9846E+00 5.2234E-02 1.3294E+00 0.3734 0.7207 0.6435 3.9291E-02 1 0.00 0.00 4.5000E-02 1.4642E+00 1.5092E+00 1.8939E-02 1.2961E+00 0.4209 0.8852 0.8462 1.4612E-02 3 1.65 5.00 2.8631E-02 7.3107E-01 7.5970E-01 1.1704E-02 6.1617E-01 0.4088 0.8428 0.7957 1.8994E-02 5 3.65 10.00 1.7156E-02 3.3712E-01 3.5427E-01 6.8260E-03 2.7340E-01 0.3979 0.8110 0.7525 2.4967E-02 7 6.25 15.00 8.3667E-03 1.4106E-01 1.4943E-01 3.1473E-03 1.0993E-01 0.3762 0.7793 0.7146 2.8631E-02 9 8.97 20.00 2.7164E-03 5.5083E-02 5.7800E-02 9.8073E-04 4.2328E-02 0.3610 0.7684 0.7154 2.3170E-02 11 10.96 25.00 7.2575E-04 2.2637E-02 2.3363E-02 2.7922E-04 1.7722E-02 0.3847 0.7828 0.7466 1.5756E-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 0.07340 0.12728 0.12567 0.08780 0.14228 0.14309 0.10352 5.000 5.010 5.005 0.08680 0.14699 0.14472 0.09318 0.15430 0.15549 0.10635 10.000 10.010 10.005 0.10849 0.16317 0.16052 0.11664 0.17063 0.17201 0.13394 15.000 15.010 15.005 0.20608 0.18629 0.18739 0.21521 0.19370 0.19307 0.22531 20.000 20.010 20.005 0.25778 0.18652 0.18987 0.26389 0.18659 0.18475 0.25672 25.000 25.010 25.005 0.16304 0.16632 0.16621 0.15274 0.15879 0.15889 0.14231 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 9.62947E-02 2.57185E-03 7.40416E-03 9.97600E-03 1.93460E-03 0.076891 9 1 10.0 0.0 180.0 5.94178E-02 2.63599E-03 2.16767E-03 4.80366E-03 1.98285E-03 0.036482 9 4 10.0 45.0 135.0 6.52841E-02 2.61554E-03 2.51823E-03 5.13377E-03 1.96746E-03 0.038573 9 7 10.0 90.0 90.0 8.82042E-02 2.58895E-03 5.31936E-03 7.90830E-03 1.94746E-03 0.060307 8 1 20.0 0.0 180.0 4.66718E-02 2.67050E-03 1.14131E-03 3.81182E-03 2.00881E-03 0.024454 8 4 20.0 45.0 135.0 5.19583E-02 2.62806E-03 1.34706E-03 3.97512E-03 1.97688E-03 0.025926 8 7 20.0 90.0 90.0 7.64022E-02 2.59133E-03 3.09266E-03 5.68399E-03 1.94925E-03 0.040479 7 1 30.0 0.0 180.0 4.04670E-02 2.71456E-03 9.74132E-04 3.68869E-03 2.04195E-03 0.024072 7 4 30.0 45.0 135.0 4.48664E-02 2.68847E-03 1.09447E-03 3.78294E-03 2.02232E-03 0.024394 7 7 30.0 90.0 90.0 6.54163E-02 2.62774E-03 1.90198E-03 4.52972E-03 1.97664E-03 0.029075 6 1 40.0 0.0 180.0 3.84108E-02 2.73996E-03 1.08311E-03 3.82307E-03 2.06105E-03 0.028198 6 4 40.0 45.0 135.0 4.20002E-02 2.70374E-03 1.17471E-03 3.87845E-03 2.03381E-03 0.027969 6 7 40.0 90.0 90.0 5.89676E-02 2.63892E-03 1.70284E-03 4.34176E-03 1.98505E-03 0.028878 5 1 50.0 0.0 180.0 4.02725E-02 2.77326E-03 1.71096E-03 4.48422E-03 2.08610E-03 0.042485 5 4 50.0 45.0 135.0 4.29158E-02 2.71876E-03 1.78250E-03 4.50127E-03 2.04511E-03 0.041535 5 7 50.0 90.0 90.0 5.70457E-02 2.65881E-03 2.30444E-03 4.96325E-03 2.00001E-03 0.040396 4 1 60.0 0.0 180.0 4.78041E-02 2.72927E-03 3.98574E-03 6.71500E-03 2.05301E-03 0.083377 4 4 60.0 45.0 135.0 4.88859E-02 2.66977E-03 3.93584E-03 6.60561E-03 2.00826E-03 0.080511 4 7 60.0 90.0 90.0 6.03677E-02 2.64713E-03 4.59617E-03 7.24330E-03 1.99123E-03 0.076136 3 1 70.0 0.0 180.0 6.63285E-02 2.52552E-03 1.10097E-02 1.35352E-02 1.89975E-03 0.165987 3 4 70.0 45.0 135.0 6.44616E-02 2.49681E-03 1.05933E-02 1.30902E-02 1.87815E-03 0.164336 3 7 70.0 90.0 90.0 7.20665E-02 2.48496E-03 1.15198E-02 1.40047E-02 1.86924E-03 0.159849 2 1 80.0 0.0 180.0 1.12693E-01 2.15710E-03 2.73668E-02 2.95239E-02 1.62262E-03 0.242843 2 4 80.0 45.0 135.0 1.04352E-01 2.12746E-03 2.64693E-02 2.85968E-02 1.60032E-03 0.253655 2 7 80.0 90.0 90.0 1.03674E-01 2.12709E-03 2.77206E-02 2.98477E-02 1.60004E-03 0.267382 1 1 87.5 0.0 180.0 1.82204E-01 1.73220E-03 4.82651E-02 4.99973E-02 1.30300E-03 0.264896 1 4 87.5 45.0 135.0 1.64052E-01 1.62761E-03 4.79671E-02 4.95947E-02 1.22432E-03 0.292389 1 7 87.5 90.0 90.0 1.49251E-01 1.80959E-03 4.90912E-02 5.09008E-02 1.36121E-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 9.976E-03 9.629E-02 1.161E-01 1.001E-01 1.501E-01 7.504E-03 5.236E+00 2.572E-03 1.935E-03 1 0.00 0.00 4.773E-03 1.792E-01 9.018E-03 1.075E-02 1.585E-02 3.682E-03 3.968E+00 3 1.65 5.00 2.794E-03 1.989E-01 5.788E-03 7.661E-03 1.296E-02 4.534E-03 4.189E+00 5 3.65 10.00 1.526E-03 1.415E-01 3.649E-03 4.869E-03 8.003E-03 5.581E-03 4.474E+00 7 6.25 15.00 6.436E-04 7.542E-02 2.064E-03 2.716E-03 4.203E-03 5.855E-03 4.890E+00 9 8.97 20.00 1.956E-04 3.331E-02 7.905E-04 1.006E-03 1.449E-03 4.621E-03 5.014E+00 11 10.96 25.00 6.358E-05 1.528E-02 2.142E-04 2.615E-04 3.534E-04 3.588E-03 4.392E+00 Waveband 19 of 30 completed in 3.9 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 84.8 m at 595.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 590.0 nm to 600.0 nm: Ed(diffuse) = 3.405E-01 Ed(direct) = 9.398E-01 Ed(total) = 1.280E+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 0.0092 0.0009 0.1772 3 1.908 5.000 0.1672 0.0114 0.0011 0.1797 5 4.167 10.000 0.1672 0.0162 0.0015 0.1850 7 7.004 15.000 0.1672 0.0233 0.0022 0.1927 9 9.956 20.000 0.1672 0.0187 0.0018 0.1877 11 12.199 25.000 0.1672 0.0079 0.0008 0.1759 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 0.1804 0.0000 0.1818 3 1.908 5.000 0.0014 0.2223 0.0000 0.2237 5 4.167 10.000 0.0014 0.3105 0.0000 0.3119 7 7.004 15.000 0.0014 0.4393 0.0000 0.4406 9 9.956 20.000 0.0014 0.3566 0.0000 0.3579 11 12.199 25.000 0.0014 0.1571 0.0000 0.1585 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 0.00361 0.00000 0.00429 3 1.908 5.000 0.00068 0.00445 0.00000 0.00513 5 4.167 10.000 0.00068 0.00621 0.00000 0.00689 7 7.004 15.000 0.00068 0.00879 0.00000 0.00947 9 9.956 20.000 0.00068 0.00713 0.00000 0.00781 11 12.199 25.000 0.00068 0.00314 0.00000 0.00382 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 0.1772 0.1818 0.3591 0.5063 0.00429 0.02360 3 1.908 5.000 0.1797 0.2237 0.4034 0.5545 0.00513 0.02292 5 4.167 10.000 0.1850 0.3119 0.4968 0.6277 0.00689 0.02210 7 7.004 15.000 0.1927 0.4406 0.6334 0.6957 0.00947 0.02148 9 9.956 20.000 0.1877 0.3579 0.5457 0.6560 0.00781 0.02183 11 12.199 25.000 0.1759 0.1585 0.3344 0.4740 0.00382 0.02413 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.3639E-01 8 20.00 5.2850E-01 7 30.00 2.7047E-01 6 40.00 1.2359E-01 5 50.00 5.5135E-02 4 60.00 2.5661E-02 3 70.00 1.2929E-02 2 80.00 7.1657E-03 1 87.50 4.8755E-03 1 92.50 3.8546E-03 2 100.00 2.8836E-03 3 110.00 2.1102E-03 4 120.00 1.6720E-03 5 130.00 1.4220E-03 6 140.00 1.2796E-03 7 150.00 1.1999E-03 8 160.00 1.1570E-03 9 170.00 1.1362E-03 10 180.00 1.1290E-03 Asymptotic AOP values are MUu(inf) = 0.3888 MUd(inf) = 0.8548 MU(inf) = 0.8334 R(inf) = 0.0080 Lu(inf)/Ed(inf) = 0.001859 (1/sr) k(inf) = 0.2111 (1/m) absorp(check) = 0.1759 = 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 1.2844E-01 1.7737E+00 1.9022E+00 4.7296E-02 1.2802E+00 0.3682 0.7218 0.6482 3.6944E-02 1 0.00 0.00 2.8175E-02 1.3978E+00 1.4260E+00 1.1673E-02 1.2446E+00 0.4143 0.8904 0.8646 9.3791E-03 3 1.91 5.00 1.3279E-02 5.0640E-01 5.1968E-01 5.3821E-03 4.3287E-01 0.4053 0.8548 0.8226 1.2434E-02 5 4.17 10.00 6.0825E-03 1.6972E-01 1.7580E-01 2.4254E-03 1.4065E-01 0.3987 0.8287 0.7862 1.7245E-02 7 7.00 15.00 2.3326E-03 5.1964E-02 5.4296E-02 8.9042E-04 4.1598E-02 0.3817 0.8005 0.7497 2.1406E-02 9 9.96 20.00 5.9535E-04 1.4903E-02 1.5499E-02 2.2544E-04 1.1802E-02 0.3787 0.7919 0.7469 1.9103E-02 11 12.20 25.00 1.4315E-04 4.5069E-03 4.6501E-03 6.0507E-05 3.6360E-03 0.4227 0.8068 0.7689 1.6641E-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 0.12797 0.18923 0.18802 0.14504 0.20418 0.20474 0.16074 5.000 5.010 5.005 0.14115 0.21128 0.20948 0.14596 0.21694 0.21783 0.15622 10.000 10.010 10.005 0.15740 0.22650 0.22411 0.16330 0.23264 0.23385 0.17688 15.000 15.010 15.005 0.26030 0.24785 0.24839 0.26532 0.25451 0.25427 0.26811 20.000 20.010 20.005 0.29670 0.24800 0.24987 0.29298 0.24771 0.24683 0.27405 25.000 25.010 25.005 0.16788 0.22747 0.22563 0.15241 0.22037 0.22152 0.13582 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 9.18686E-02 1.58145E-03 7.12455E-03 8.70601E-03 1.23530E-03 0.077552 9 1 10.0 0.0 180.0 5.66867E-02 1.62570E-03 2.07619E-03 3.70189E-03 1.26987E-03 0.036626 9 4 10.0 45.0 135.0 6.22834E-02 1.61137E-03 2.41297E-03 4.02434E-03 1.25867E-03 0.038742 9 7 10.0 90.0 90.0 8.41500E-02 1.59084E-03 5.11243E-03 6.70327E-03 1.24263E-03 0.060754 8 1 20.0 0.0 180.0 4.45266E-02 1.64874E-03 1.08927E-03 2.73801E-03 1.28786E-03 0.024463 8 4 20.0 45.0 135.0 4.95701E-02 1.61965E-03 1.28621E-03 2.90586E-03 1.26514E-03 0.025947 8 7 20.0 90.0 90.0 7.28905E-02 1.59020E-03 2.96480E-03 4.55499E-03 1.24213E-03 0.040675 7 1 30.0 0.0 180.0 3.86070E-02 1.67689E-03 9.29357E-04 2.60625E-03 1.30985E-03 0.024072 7 4 30.0 45.0 135.0 4.28045E-02 1.65673E-03 1.04422E-03 2.70095E-03 1.29410E-03 0.024395 7 7 30.0 90.0 90.0 6.24076E-02 1.60991E-03 1.81736E-03 3.42727E-03 1.25753E-03 0.029121 6 1 40.0 0.0 180.0 3.66453E-02 1.69250E-03 1.03333E-03 2.72583E-03 1.32204E-03 0.028198 6 4 40.0 45.0 135.0 4.00697E-02 1.66483E-03 1.12072E-03 2.78554E-03 1.30043E-03 0.027969 6 7 40.0 90.0 90.0 5.62572E-02 1.61278E-03 1.62475E-03 3.23753E-03 1.25977E-03 0.028881 5 1 50.0 0.0 180.0 3.84214E-02 1.71247E-03 1.63232E-03 3.34478E-03 1.33764E-03 0.042485 5 4 50.0 45.0 135.0 4.09432E-02 1.67272E-03 1.70057E-03 3.37329E-03 1.30659E-03 0.041535 5 7 50.0 90.0 90.0 5.44237E-02 1.62217E-03 2.19852E-03 3.82070E-03 1.26711E-03 0.040396 4 1 60.0 0.0 180.0 4.56068E-02 1.68472E-03 3.80254E-03 5.48726E-03 1.31597E-03 0.083377 4 4 60.0 45.0 135.0 4.66390E-02 1.64139E-03 3.75494E-03 5.39633E-03 1.28212E-03 0.080511 4 7 60.0 90.0 90.0 5.75930E-02 1.61291E-03 4.38492E-03 5.99782E-03 1.25987E-03 0.076136 3 1 70.0 0.0 180.0 6.32798E-02 1.55880E-03 1.05036E-02 1.20624E-02 1.21761E-03 0.165987 3 4 70.0 45.0 135.0 6.14987E-02 1.53462E-03 1.01064E-02 1.16411E-02 1.19872E-03 0.164336 3 7 70.0 90.0 90.0 6.87541E-02 1.51364E-03 1.09903E-02 1.25039E-02 1.18233E-03 0.159849 2 1 80.0 0.0 180.0 1.07513E-01 1.33167E-03 2.61089E-02 2.74406E-02 1.04019E-03 0.242843 2 4 80.0 45.0 135.0 9.95552E-02 1.30778E-03 2.52527E-02 2.65605E-02 1.02153E-03 0.253655 2 7 80.0 90.0 90.0 9.89089E-02 1.29616E-03 2.64465E-02 2.77426E-02 1.01245E-03 0.267382 1 1 87.5 0.0 180.0 1.73829E-01 1.07016E-03 4.60466E-02 4.71168E-02 8.35922E-04 0.264896 1 4 87.5 45.0 135.0 1.56512E-01 1.00133E-03 4.57624E-02 4.67637E-02 7.82160E-04 0.292389 1 7 87.5 90.0 90.0 1.42391E-01 1.10440E-03 4.68348E-02 4.79392E-02 8.62664E-04 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 595.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 8.706E-03 9.187E-02 1.105E-01 9.517E-02 1.428E-01 6.800E-03 5.433E+00 1.581E-03 1.235E-03 1 0.00 0.00 2.935E-03 1.709E-01 5.806E-03 6.967E-03 1.047E-02 2.358E-03 3.977E+00 3 1.91 5.00 1.301E-03 1.424E-01 2.778E-03 3.703E-03 6.344E-03 3.006E-03 4.136E+00 5 4.17 10.00 5.600E-04 7.607E-02 1.320E-03 1.761E-03 2.905E-03 3.982E-03 4.331E+00 7 7.00 15.00 1.921E-04 3.053E-02 5.778E-04 7.542E-04 1.161E-03 4.617E-03 4.636E+00 9 9.96 20.00 4.973E-05 1.015E-02 1.659E-04 2.069E-04 2.920E-04 4.214E-03 4.533E+00 11 12.20 25.00 1.599E-05 3.500E-03 3.625E-05 4.209E-05 5.347E-05 4.397E-03 3.785E+00 Waveband 20 of 30 completed in 4.4 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 72.3 m at 605.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 600.0 nm to 610.0 nm: Ed(diffuse) = 3.465E-01 Ed(direct) = 9.677E-01 Ed(total) = 1.314E+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 0.0103 0.0008 0.2688 3 2.350 5.000 0.2577 0.0128 0.0009 0.2715 5 5.046 10.000 0.2577 0.0182 0.0013 0.2773 7 8.315 15.000 0.2577 0.0262 0.0019 0.2859 9 11.698 20.000 0.2577 0.0211 0.0016 0.2803 11 14.379 25.000 0.2577 0.0089 0.0007 0.2673 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 0.1775 0.0000 0.1787 3 2.350 5.000 0.0013 0.2186 0.0000 0.2199 5 5.046 10.000 0.0013 0.3054 0.0000 0.3066 7 8.315 15.000 0.0013 0.4320 0.0000 0.4333 9 11.698 20.000 0.0013 0.3507 0.0000 0.3519 11 14.379 25.000 0.0013 0.1545 0.0000 0.1558 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 0.00355 0.00000 0.00418 3 2.350 5.000 0.00063 0.00437 0.00000 0.00501 5 5.046 10.000 0.00063 0.00611 0.00000 0.00674 7 8.315 15.000 0.00063 0.00864 0.00000 0.00927 9 11.698 20.000 0.00063 0.00701 0.00000 0.00765 11 14.379 25.000 0.00063 0.00309 0.00000 0.00372 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 0.2688 0.1787 0.4475 0.3994 0.00418 0.02341 3 2.350 5.000 0.2715 0.2199 0.4914 0.4475 0.00501 0.02277 5 5.046 10.000 0.2773 0.3066 0.5839 0.5251 0.00674 0.02198 7 8.315 15.000 0.2859 0.4333 0.7192 0.6025 0.00927 0.02140 9 11.698 20.000 0.2803 0.3519 0.6323 0.5566 0.00765 0.02173 11 14.379 25.000 0.2673 0.1558 0.4231 0.3682 0.00372 0.02391 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 7.8380E-01 8 20.00 4.2533E-01 7 30.00 1.8120E-01 6 40.00 7.0315E-02 5 50.00 2.7934E-02 4 60.00 1.2162E-02 3 70.00 5.9382E-03 2 80.00 3.2514E-03 1 87.50 2.2079E-03 1 92.50 1.7516E-03 2 100.00 1.3148E-03 3 110.00 9.6890E-04 4 120.00 7.7587E-04 5 130.00 6.6796E-04 6 140.00 6.0831E-04 7 150.00 5.7632E-04 8 160.00 5.6005E-04 9 170.00 5.5260E-04 10 180.00 5.4999E-04 Asymptotic AOP values are MUu(inf) = 0.3942 MUd(inf) = 0.8849 MU(inf) = 0.8711 R(inf) = 0.0049 Lu(inf)/Ed(inf) = 0.001180 (1/sr) k(inf) = 0.3069 (1/m) absorp(check) = 0.2673 = 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 1.2736E-01 1.8183E+00 1.9457E+00 4.6458E-02 1.3142E+00 0.3648 0.7228 0.6516 3.5350E-02 1 0.00 0.00 1.8172E-02 1.4262E+00 1.4444E+00 7.4247E-03 1.2752E+00 0.4086 0.8941 0.8777 5.8225E-03 3 2.35 5.00 5.1972E-03 3.0674E-01 3.1194E-01 2.1028E-03 2.6602E-01 0.4046 0.8672 0.8460 7.9048E-03 5 5.05 10.00 1.5544E-03 6.1117E-02 6.2671E-02 6.3285E-04 5.1788E-02 0.4071 0.8474 0.8163 1.2220E-02 7 8.32 15.00 4.3925E-04 1.1173E-02 1.1613E-02 1.7919E-04 9.1847E-03 0.4079 0.8220 0.7755 1.9510E-02 9 11.70 20.00 1.0921E-04 1.9609E-03 2.0701E-03 4.7779E-05 1.5860E-03 0.4375 0.8088 0.7430 3.0126E-02 11 14.38 25.00 4.1449E-05 3.8977E-04 4.3122E-04 1.9961E-05 3.1227E-04 0.4816 0.8012 0.6779 6.3922E-02 K-functions (units of 1/meter) at 605.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.22473 0.29168 0.29083 0.24280 0.30563 0.30600 0.25756 5.000 5.010 5.005 0.23205 0.31542 0.31403 0.23365 0.31929 0.31997 0.23830 10.000 10.010 10.005 0.23291 0.33020 0.32778 0.23274 0.33507 0.33633 0.23579 15.000 15.010 15.005 0.30418 0.34963 0.34791 0.29592 0.35617 0.35737 0.28013 20.000 20.010 20.005 0.24477 0.34131 0.33622 0.22625 0.34367 0.34732 0.19905 25.000 25.010 25.005 0.10148 0.30059 0.28143 0.09511 0.30239 0.31656 0.08927 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 9.34977E-02 1.00273E-03 7.30842E-03 8.31115E-03 7.62988E-04 0.078167 9 1 10.0 0.0 180.0 5.76919E-02 1.03322E-03 2.12073E-03 3.15395E-03 7.86189E-04 0.036759 9 4 10.0 45.0 135.0 6.33879E-02 1.02327E-03 2.46570E-03 3.48897E-03 7.78620E-04 0.038899 9 7 10.0 90.0 90.0 8.56423E-02 1.00820E-03 5.23868E-03 6.24688E-03 7.67153E-04 0.061169 8 1 20.0 0.0 180.0 4.53162E-02 1.04890E-03 1.10897E-03 2.15787E-03 7.98118E-04 0.024472 8 4 20.0 45.0 135.0 5.04491E-02 1.02897E-03 1.31003E-03 2.33900E-03 7.82956E-04 0.025967 8 7 20.0 90.0 90.0 7.41831E-02 1.00690E-03 3.03091E-03 4.03781E-03 7.66163E-04 0.040857 7 1 30.0 0.0 180.0 3.92916E-02 1.06749E-03 9.45837E-04 2.01333E-03 8.12264E-04 0.024072 7 4 30.0 45.0 135.0 4.35639E-02 1.05266E-03 1.06278E-03 2.11544E-03 8.00979E-04 0.024396 7 7 30.0 90.0 90.0 6.35124E-02 1.01827E-03 1.85225E-03 2.87052E-03 7.74813E-04 0.029164 6 1 40.0 0.0 180.0 3.72952E-02 1.07771E-03 1.05165E-03 2.12937E-03 8.20045E-04 0.028198 6 4 40.0 45.0 135.0 4.07803E-02 1.05747E-03 1.14059E-03 2.19806E-03 8.04643E-04 0.027969 6 7 40.0 90.0 90.0 5.72548E-02 1.01840E-03 1.65374E-03 2.67214E-03 7.74911E-04 0.028884 5 1 50.0 0.0 180.0 3.91027E-02 1.09039E-03 1.66126E-03 2.75166E-03 8.29693E-04 0.042485 5 4 50.0 45.0 135.0 4.16692E-02 1.06206E-03 1.73073E-03 2.79279E-03 8.08131E-04 0.041535 5 7 50.0 90.0 90.0 5.53888E-02 1.02316E-03 2.23751E-03 3.26067E-03 7.78532E-04 0.040396 4 1 60.0 0.0 180.0 4.64156E-02 1.07267E-03 3.86997E-03 4.94264E-03 8.16204E-04 0.083377 4 4 60.0 45.0 135.0 4.74660E-02 1.04178E-03 3.82152E-03 4.86331E-03 7.92705E-04 0.080511 4 7 60.0 90.0 90.0 5.86143E-02 1.01641E-03 4.46267E-03 5.47908E-03 7.73397E-04 0.076136 3 1 70.0 0.0 180.0 6.44019E-02 9.92547E-04 1.06899E-02 1.16824E-02 7.55240E-04 0.165987 3 4 70.0 45.0 135.0 6.25893E-02 9.73911E-04 1.02857E-02 1.12596E-02 7.41060E-04 0.164336 3 7 70.0 90.0 90.0 6.99733E-02 9.53687E-04 1.11852E-02 1.21388E-02 7.25671E-04 0.159849 2 1 80.0 0.0 180.0 1.09420E-01 8.48124E-04 2.65719E-02 2.74200E-02 6.45347E-04 0.242843 2 4 80.0 45.0 135.0 1.01321E-01 8.30080E-04 2.57005E-02 2.65306E-02 6.31617E-04 0.253655 2 7 80.0 90.0 90.0 1.00663E-01 8.16913E-04 2.69154E-02 2.77323E-02 6.21598E-04 0.267382 1 1 87.5 0.0 180.0 1.76912E-01 6.81963E-04 4.68632E-02 4.75452E-02 5.18914E-04 0.264896 1 4 87.5 45.0 135.0 1.59287E-01 6.35961E-04 4.65739E-02 4.72098E-02 4.83910E-04 0.292389 1 7 87.5 90.0 90.0 1.44916E-01 6.96858E-04 4.76653E-02 4.83621E-02 5.30247E-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 8.311E-03 9.350E-02 1.122E-01 9.664E-02 1.451E-01 6.324E-03 5.590E+00 1.003E-03 7.630E-04 1 0.00 0.00 1.861E-03 1.739E-01 3.871E-03 4.675E-03 7.147E-03 1.460E-03 3.989E+00 3 2.35 5.00 5.185E-04 9.040E-02 1.113E-03 1.486E-03 2.557E-03 1.949E-03 4.056E+00 5 5.05 10.00 1.552E-04 2.995E-02 3.381E-04 4.427E-04 7.154E-04 2.996E-03 4.078E+00 7 8.32 15.00 4.401E-05 7.407E-03 1.028E-04 1.278E-04 1.855E-04 4.792E-03 4.071E+00 9 11.70 20.00 1.310E-05 1.524E-03 2.465E-05 2.794E-05 3.474E-05 8.260E-03 3.647E+00 11 14.38 25.00 6.185E-06 3.324E-04 7.683E-06 7.937E-06 8.429E-06 1.981E-02 3.227E+00 Waveband 21 of 30 completed in 5.2 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 71.5 m at 615.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 610.0 nm to 620.0 nm: Ed(diffuse) = 3.356E-01 Ed(direct) = 9.479E-01 Ed(total) = 1.284E+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 0.0099 0.0007 0.2784 3 2.381 5.000 0.2678 0.0124 0.0008 0.2810 5 5.102 10.000 0.2678 0.0176 0.0012 0.2865 7 8.386 15.000 0.2678 0.0253 0.0017 0.2947 9 11.782 20.000 0.2678 0.0203 0.0013 0.2895 11 14.487 25.000 0.2678 0.0086 0.0006 0.2770 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 0.1746 0.0000 0.1758 3 2.381 5.000 0.0012 0.2151 0.0000 0.2162 5 5.102 10.000 0.0012 0.3004 0.0000 0.3016 7 8.386 15.000 0.0012 0.4250 0.0000 0.4262 9 11.782 20.000 0.0012 0.3450 0.0000 0.3462 11 14.487 25.000 0.0012 0.1520 0.0000 0.1532 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 0.00349 0.00000 0.00408 3 2.381 5.000 0.00059 0.00430 0.00000 0.00489 5 5.102 10.000 0.00059 0.00601 0.00000 0.00660 7 8.386 15.000 0.00059 0.00850 0.00000 0.00909 9 11.782 20.000 0.00059 0.00690 0.00000 0.00749 11 14.487 25.000 0.00059 0.00304 0.00000 0.00363 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 0.2784 0.1758 0.4542 0.3870 0.00408 0.02323 3 2.381 5.000 0.2810 0.2162 0.4972 0.4349 0.00489 0.02262 5 5.102 10.000 0.2865 0.3016 0.5881 0.5128 0.00660 0.02188 7 8.386 15.000 0.2947 0.4262 0.7209 0.5912 0.00909 0.02133 9 11.782 20.000 0.2895 0.3462 0.6356 0.5446 0.00749 0.02164 11 14.487 25.000 0.2770 0.1532 0.4302 0.3561 0.00363 0.02370 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 7.7648E-01 8 20.00 4.1250E-01 7 30.00 1.7154E-01 6 40.00 6.5247E-02 5 50.00 2.5588E-02 4 60.00 1.1066E-02 3 70.00 5.3865E-03 2 80.00 2.9453E-03 1 87.50 1.9989E-03 1 92.50 1.5858E-03 2 100.00 1.1900E-03 3 110.00 8.7667E-04 4 120.00 7.0210E-04 5 130.00 6.0470E-04 6 140.00 5.5102E-04 7 150.00 5.2235E-04 8 160.00 5.0786E-04 9 170.00 5.0127E-04 10 180.00 4.9896E-04 Asymptotic AOP values are MUu(inf) = 0.3944 MUd(inf) = 0.8882 MU(inf) = 0.8752 R(inf) = 0.0046 Lu(inf)/Ed(inf) = 0.001106 (1/sr) k(inf) = 0.3165 (1/m) absorp(check) = 0.2770 = 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 1.2335E-01 1.7735E+00 1.8969E+00 4.5071E-02 1.2835E+00 0.3654 0.7237 0.6529 3.5114E-02 1 0.00 0.00 1.6684E-02 1.3919E+00 1.4086E+00 6.7997E-03 1.2453E+00 0.4076 0.8947 0.8792 5.4605E-03 3 2.38 5.00 4.5235E-03 2.8392E-01 2.8844E-01 1.8274E-03 2.4673E-01 0.4040 0.8690 0.8491 7.4065E-03 5 5.10 10.00 1.2927E-03 5.3780E-02 5.5073E-02 5.2615E-04 4.5711E-02 0.4070 0.8500 0.8205 1.1510E-02 7 8.39 15.00 3.5354E-04 9.3765E-03 9.7301E-03 1.4452E-04 7.7376E-03 0.4088 0.8252 0.7804 1.8677E-02 9 11.78 20.00 8.6085E-05 1.5727E-03 1.6588E-03 3.7791E-05 1.2769E-03 0.4390 0.8119 0.7470 2.9596E-02 11 14.49 25.00 3.1957E-05 2.9907E-04 3.3103E-04 1.5403E-05 2.4021E-04 0.4820 0.8032 0.6791 6.4123E-02 K-functions (units of 1/meter) at 615.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.23538 0.30250 0.30170 0.25334 0.31609 0.31643 0.26791 5.000 5.010 5.005 0.24161 0.32578 0.32446 0.24306 0.32944 0.33008 0.24739 10.000 10.010 10.005 0.24067 0.34007 0.33773 0.24013 0.34475 0.34597 0.24261 15.000 15.010 15.005 0.31002 0.35877 0.35700 0.30122 0.36520 0.36641 0.28488 20.000 20.010 20.005 0.24814 0.35024 0.34494 0.22987 0.35272 0.35647 0.20343 25.000 25.010 25.005 0.10630 0.30937 0.28975 0.10022 0.31157 0.32607 0.09460 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 9.05701E-02 9.16274E-04 7.13293E-03 8.04921E-03 7.13865E-04 0.078756 9 1 10.0 0.0 180.0 5.58855E-02 9.44291E-04 2.06148E-03 3.00578E-03 7.35693E-04 0.036888 9 4 10.0 45.0 135.0 6.14030E-02 9.35150E-04 2.39771E-03 3.33286E-03 7.28570E-04 0.039049 9 7 10.0 90.0 90.0 8.29606E-02 9.21266E-04 5.10766E-03 6.02892E-03 7.17754E-04 0.061567 8 1 20.0 0.0 180.0 4.38973E-02 9.58717E-04 1.07461E-03 2.03333E-03 7.46931E-04 0.024480 8 4 20.0 45.0 135.0 4.88695E-02 9.40416E-04 1.26995E-03 2.21036E-03 7.32674E-04 0.025986 8 7 20.0 90.0 90.0 7.18602E-02 9.20070E-04 2.94856E-03 3.86863E-03 7.16822E-04 0.041032 7 1 30.0 0.0 180.0 3.80613E-02 9.75797E-04 9.16221E-04 1.89202E-03 7.60239E-04 0.024072 7 4 30.0 45.0 135.0 4.22001E-02 9.62118E-04 1.02955E-03 1.99167E-03 7.49581E-04 0.024397 7 7 30.0 90.0 90.0 6.15220E-02 9.30461E-04 1.79672E-03 2.72719E-03 7.24918E-04 0.029205 6 1 40.0 0.0 180.0 3.61274E-02 9.85235E-04 1.01872E-03 2.00396E-03 7.67592E-04 0.028198 6 4 40.0 45.0 135.0 3.95033E-02 9.66578E-04 1.10487E-03 2.07145E-03 7.53056E-04 0.027969 6 7 40.0 90.0 90.0 5.54621E-02 9.30616E-04 1.60212E-03 2.53273E-03 7.25039E-04 0.028887 5 1 50.0 0.0 180.0 3.78783E-02 9.96898E-04 1.60924E-03 2.60614E-03 7.76678E-04 0.042485 5 4 50.0 45.0 135.0 4.03645E-02 9.70831E-04 1.67654E-03 2.64737E-03 7.56370E-04 0.041535 5 7 50.0 90.0 90.0 5.36544E-02 9.35070E-04 2.16745E-03 3.10252E-03 7.28508E-04 0.040396 4 1 60.0 0.0 180.0 4.49622E-02 9.80766E-04 3.74879E-03 4.72956E-03 7.64110E-04 0.083377 4 4 60.0 45.0 135.0 4.59797E-02 9.52376E-04 3.70186E-03 4.65424E-03 7.41992E-04 0.080511 4 7 60.0 90.0 90.0 5.67789E-02 9.29045E-04 4.32294E-03 5.25198E-03 7.23814E-04 0.076136 3 1 70.0 0.0 180.0 6.23854E-02 9.07608E-04 1.03552E-02 1.12628E-02 7.07113E-04 0.165987 3 4 70.0 45.0 135.0 6.06294E-02 8.90447E-04 9.96359E-03 1.08540E-02 6.93743E-04 0.164336 3 7 70.0 90.0 90.0 6.77823E-02 8.71957E-04 1.08349E-02 1.17069E-02 6.79338E-04 0.159849 2 1 80.0 0.0 180.0 1.05994E-01 7.75639E-04 2.57399E-02 2.65155E-02 6.04297E-04 0.242843 2 4 80.0 45.0 135.0 9.81480E-02 7.59062E-04 2.48958E-02 2.56548E-02 5.91382E-04 0.253655 2 7 80.0 90.0 90.0 9.75109E-02 7.47136E-04 2.60726E-02 2.68198E-02 5.82090E-04 0.267382 1 1 87.5 0.0 180.0 1.71372E-01 6.23781E-04 4.53958E-02 4.60196E-02 4.85985E-04 0.264896 1 4 87.5 45.0 135.0 1.54300E-01 5.81673E-04 4.51155E-02 4.56972E-02 4.53178E-04 0.292389 1 7 87.5 90.0 90.0 1.40379E-01 6.37589E-04 4.61728E-02 4.68104E-02 4.96743E-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 8.049E-03 9.057E-02 1.087E-01 9.359E-02 1.406E-01 6.271E-03 5.599E+00 9.163E-04 7.139E-04 1 0.00 0.00 1.701E-03 1.685E-01 3.565E-03 4.316E-03 6.627E-03 1.366E-03 3.998E+00 3 2.38 5.00 4.503E-04 8.330E-02 9.699E-04 1.298E-03 2.243E-03 1.825E-03 4.058E+00 5 5.10 10.00 1.293E-04 2.638E-02 2.811E-04 3.687E-04 5.977E-04 2.828E-03 4.070E+00 7 8.39 15.00 3.566E-05 6.263E-03 8.251E-05 1.025E-04 1.489E-04 4.609E-03 4.052E+00 9 11.78 20.00 1.041E-05 1.238E-03 1.930E-05 2.181E-05 2.703E-05 8.149E-03 3.632E+00 11 14.49 25.00 4.779E-06 2.586E-04 5.911E-06 6.095E-06 6.452E-06 1.990E-02 3.223E+00 Waveband 22 of 30 completed in 5.3 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 70.0 m at 625.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 620.0 nm to 630.0 nm: Ed(diffuse) = 3.296E-01 Ed(direct) = 9.406E-01 Ed(total) = 1.270E+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 0.0111 0.0006 0.2951 3 2.449 5.000 0.2834 0.0138 0.0007 0.2979 5 5.235 10.000 0.2834 0.0196 0.0010 0.3040 7 8.579 15.000 0.2834 0.0282 0.0015 0.3130 9 12.034 20.000 0.2834 0.0226 0.0012 0.3072 11 14.804 25.000 0.2834 0.0096 0.0005 0.2935 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 0.1718 0.0000 0.1729 3 2.449 5.000 0.0011 0.2116 0.0000 0.2127 5 5.235 10.000 0.0011 0.2956 0.0000 0.2967 7 8.579 15.000 0.0011 0.4182 0.0000 0.4193 9 12.034 20.000 0.0011 0.3395 0.0000 0.3406 11 14.804 25.000 0.0011 0.1496 0.0000 0.1507 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 0.00344 0.00000 0.00399 3 2.449 5.000 0.00055 0.00423 0.00000 0.00478 5 5.235 10.000 0.00055 0.00591 0.00000 0.00646 7 8.579 15.000 0.00055 0.00836 0.00000 0.00891 9 12.034 20.000 0.00055 0.00679 0.00000 0.00734 11 14.804 25.000 0.00055 0.00299 0.00000 0.00354 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 0.2951 0.1729 0.4679 0.3694 0.00399 0.02306 3 2.449 5.000 0.2979 0.2127 0.5106 0.4166 0.00478 0.02249 5 5.235 10.000 0.3040 0.2967 0.6007 0.4939 0.00646 0.02178 7 8.579 15.000 0.3130 0.4193 0.7323 0.5725 0.00891 0.02126 9 12.034 20.000 0.3072 0.3406 0.6478 0.5257 0.00734 0.02155 11 14.804 25.000 0.2935 0.1507 0.4442 0.3392 0.00354 0.02351 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 7.6564E-01 8 20.00 3.9415E-01 7 30.00 1.5827E-01 6 40.00 5.8520E-02 5 50.00 2.2549E-02 4 60.00 9.6681E-03 3 70.00 4.6903E-03 2 80.00 2.5615E-03 1 87.50 1.7379E-03 1 92.50 1.3791E-03 2 100.00 1.0350E-03 3 110.00 7.6269E-04 4 120.00 6.1128E-04 5 130.00 5.2705E-04 6 140.00 4.8084E-04 7 150.00 4.5633E-04 8 160.00 4.4406E-04 9 170.00 4.3853E-04 10 180.00 4.3661E-04 Asymptotic AOP values are MUu(inf) = 0.3948 MUd(inf) = 0.8928 MU(inf) = 0.8808 R(inf) = 0.0042 Lu(inf)/Ed(inf) = 0.001015 (1/sr) k(inf) = 0.3332 (1/m) absorp(check) = 0.2935 = 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 1.2098E-01 1.7529E+00 1.8739E+00 4.4257E-02 1.2702E+00 0.3658 0.7246 0.6542 3.4843E-02 1 0.00 0.00 1.5161E-02 1.3762E+00 1.3913E+00 6.1606E-03 1.2321E+00 0.4063 0.8953 0.8811 5.0002E-03 3 2.45 5.00 3.7429E-03 2.5558E-01 2.5932E-01 1.5102E-03 2.2270E-01 0.4035 0.8714 0.8530 6.7813E-03 5 5.23 10.00 9.8680E-04 4.4055E-02 4.5041E-02 4.0272E-04 3.7599E-02 0.4081 0.8535 0.8258 1.0711E-02 7 8.58 15.00 2.5683E-04 6.9789E-03 7.2357E-03 1.0617E-04 5.7878E-03 0.4134 0.8293 0.7852 1.8344E-02 9 12.03 20.00 6.3328E-05 1.0713E-03 1.1346E-03 2.8258E-05 8.7229E-04 0.4462 0.8142 0.7439 3.2395E-02 11 14.80 25.00 2.4208E-05 1.9138E-04 2.1559E-04 1.1731E-05 1.5276E-04 0.4846 0.7982 0.6542 7.6792E-02 K-functions (units of 1/meter) at 625.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.25411 0.32123 0.32050 0.27180 0.33438 0.33469 0.28604 5.000 5.010 5.005 0.25889 0.34446 0.34323 0.25987 0.34782 0.34842 0.26333 10.000 10.010 10.005 0.25451 0.35906 0.35677 0.25283 0.36350 0.36470 0.25340 15.000 15.010 15.005 0.31442 0.37787 0.37562 0.30347 0.38429 0.38581 0.28498 20.000 20.010 20.005 0.23960 0.36614 0.35907 0.22216 0.36956 0.37450 0.19806 25.000 25.010 25.005 0.10763 0.31800 0.29435 0.10274 0.32288 0.34121 0.09818 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 8.89363E-02 8.28255E-04 7.05417E-03 7.88243E-03 6.52073E-04 0.079317 9 1 10.0 0.0 180.0 5.48773E-02 8.53801E-04 2.03100E-03 2.88480E-03 6.72185E-04 0.037010 9 4 10.0 45.0 135.0 6.02954E-02 8.45463E-04 2.36307E-03 3.20854E-03 6.65620E-04 0.039192 9 7 10.0 90.0 90.0 8.14640E-02 8.32744E-04 5.04640E-03 5.87914E-03 6.55607E-04 0.061946 8 1 20.0 0.0 180.0 4.31054E-02 8.66971E-04 1.05556E-03 1.92254E-03 6.82553E-04 0.024488 8 4 20.0 45.0 135.0 4.79879E-02 8.50297E-04 1.24791E-03 2.09821E-03 6.69426E-04 0.026005 8 7 20.0 90.0 90.0 7.05639E-02 8.31633E-04 2.90711E-03 3.73875E-03 6.54732E-04 0.041198 7 1 30.0 0.0 180.0 3.73747E-02 8.82525E-04 8.99692E-04 1.78222E-03 6.94799E-04 0.024072 7 4 30.0 45.0 135.0 4.14391E-02 8.69978E-04 1.01102E-03 1.88100E-03 6.84921E-04 0.024398 7 7 30.0 90.0 90.0 6.04106E-02 8.40995E-04 1.76662E-03 2.60762E-03 6.62103E-04 0.029244 6 1 40.0 0.0 180.0 3.54756E-02 8.91163E-04 1.00035E-03 1.89151E-03 7.01600E-04 0.028198 6 4 40.0 45.0 135.0 3.87907E-02 8.74064E-04 1.08494E-03 1.95901E-03 6.88138E-04 0.027969 6 7 40.0 90.0 90.0 5.44616E-02 8.41119E-04 1.57337E-03 2.41449E-03 6.62200E-04 0.028890 5 1 50.0 0.0 180.0 3.71950E-02 9.01786E-04 1.58021E-03 2.48200E-03 7.09963E-04 0.042485 5 4 50.0 45.0 135.0 3.96363E-02 8.77962E-04 1.64629E-03 2.52425E-03 6.91207E-04 0.041535 5 7 50.0 90.0 90.0 5.26865E-02 8.45199E-04 2.12835E-03 2.97355E-03 6.65413E-04 0.040396 4 1 60.0 0.0 180.0 4.41511E-02 8.87267E-04 3.68117E-03 4.56843E-03 6.98533E-04 0.083377 4 4 60.0 45.0 135.0 4.51503E-02 8.61335E-04 3.63508E-03 4.49642E-03 6.78116E-04 0.080511 4 7 60.0 90.0 90.0 5.57547E-02 8.39849E-04 4.24495E-03 5.08480E-03 6.61201E-04 0.076136 3 1 70.0 0.0 180.0 6.12600E-02 8.21180E-04 1.01684E-02 1.09895E-02 6.46503E-04 0.165987 3 4 70.0 45.0 135.0 5.95357E-02 8.05432E-04 9.78385E-03 1.05893E-02 6.34105E-04 0.164336 3 7 70.0 90.0 90.0 6.65595E-02 7.88447E-04 1.06395E-02 1.14279E-02 6.20733E-04 0.159849 2 1 80.0 0.0 180.0 1.04082E-01 7.01874E-04 2.52755E-02 2.59774E-02 5.52575E-04 0.242843 2 4 80.0 45.0 135.0 9.63775E-02 6.86705E-04 2.44467E-02 2.51334E-02 5.40633E-04 0.253655 2 7 80.0 90.0 90.0 9.57518E-02 6.75786E-04 2.56023E-02 2.62781E-02 5.32037E-04 0.267382 1 1 87.5 0.0 180.0 1.68281E-01 5.64563E-04 4.45769E-02 4.51414E-02 4.44472E-04 0.264896 1 4 87.5 45.0 135.0 1.51516E-01 5.26345E-04 4.43017E-02 4.48280E-02 4.14384E-04 0.292389 1 7 87.5 90.0 90.0 1.37846E-01 5.76946E-04 4.53398E-02 4.59168E-02 4.54221E-04 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 625.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 7.882E-03 8.894E-02 1.067E-01 9.188E-02 1.380E-01 6.206E-03 5.615E+00 8.283E-04 6.521E-04 1 0.00 0.00 1.537E-03 1.655E-01 3.257E-03 3.954E-03 6.099E-03 1.248E-03 4.007E+00 3 2.45 5.00 3.725E-04 7.495E-02 8.043E-04 1.079E-03 1.870E-03 1.673E-03 4.054E+00 5 5.23 10.00 9.971E-05 2.178E-02 2.143E-04 2.808E-04 4.548E-04 2.652E-03 4.039E+00 7 8.58 15.00 2.671E-05 4.737E-03 5.912E-05 7.289E-05 1.049E-04 4.615E-03 3.975E+00 9 12.03 20.00 7.942E-06 8.590E-04 1.375E-05 1.532E-05 1.857E-05 9.104E-03 3.558E+00 11 14.80 25.00 3.664E-06 1.658E-04 4.408E-06 4.512E-06 4.714E-06 2.399E-02 3.202E+00 Waveband 23 of 30 completed in 5.4 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 68.4 m at 635.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 630.0 nm to 640.0 nm: Ed(diffuse) = 3.233E-01 Ed(direct) = 9.320E-01 Ed(total) = 1.255E+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 0.0126 0.0005 0.3143 3 2.530 5.000 0.3012 0.0157 0.0006 0.3175 5 5.396 10.000 0.3012 0.0223 0.0009 0.3244 7 8.816 15.000 0.3012 0.0321 0.0013 0.3345 9 12.346 20.000 0.3012 0.0258 0.0010 0.3280 11 15.197 25.000 0.3012 0.0109 0.0004 0.3125 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 0.1691 0.0000 0.1701 3 2.530 5.000 0.0010 0.2083 0.0000 0.2093 5 5.396 10.000 0.0010 0.2909 0.0000 0.2920 7 8.816 15.000 0.0010 0.4116 0.0000 0.4126 9 12.346 20.000 0.0010 0.3341 0.0000 0.3351 11 15.197 25.000 0.0010 0.1472 0.0000 0.1483 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 0.00338 0.00000 0.00390 3 2.530 5.000 0.00051 0.00417 0.00000 0.00468 5 5.396 10.000 0.00051 0.00582 0.00000 0.00633 7 8.816 15.000 0.00051 0.00823 0.00000 0.00875 9 12.346 20.000 0.00051 0.00668 0.00000 0.00720 11 15.197 25.000 0.00051 0.00294 0.00000 0.00346 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 0.3143 0.1701 0.4844 0.3511 0.00390 0.02290 3 2.530 5.000 0.3175 0.2093 0.5268 0.3973 0.00468 0.02236 5 5.396 10.000 0.3244 0.2920 0.6163 0.4737 0.00633 0.02169 7 8.816 15.000 0.3345 0.4126 0.7472 0.5523 0.00875 0.02120 9 12.346 20.000 0.3280 0.3351 0.6631 0.5054 0.00720 0.02147 11 15.197 25.000 0.3125 0.1483 0.4608 0.3217 0.00346 0.02333 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 7.5355E-01 8 20.00 3.7457E-01 7 30.00 1.4478E-01 6 40.00 5.1960E-02 5 50.00 1.9669E-02 4 60.00 8.3644E-03 3 70.00 4.0460E-03 2 80.00 2.2077E-03 1 87.50 1.4977E-03 1 92.50 1.1890E-03 2 100.00 8.9249E-04 3 110.00 6.5797E-04 4 120.00 5.2784E-04 5 130.00 4.5566E-04 6 140.00 4.1625E-04 7 150.00 3.9551E-04 8 160.00 3.8523E-04 9 170.00 3.8066E-04 10 180.00 3.7907E-04 Asymptotic AOP values are MUu(inf) = 0.3953 MUd(inf) = 0.8975 MU(inf) = 0.8865 R(inf) = 0.0038 Lu(inf)/Ed(inf) = 0.000928 (1/sr) k(inf) = 0.3526 (1/m) absorp(check) = 0.3126 = 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 1.1855E-01 1.7302E+00 1.8487E+00 4.3414E-02 1.2552E+00 0.3662 0.7255 0.6555 3.4587E-02 1 0.00 0.00 1.3710E-02 1.3588E+00 1.3725E+00 5.5560E-03 1.2174E+00 0.4052 0.8959 0.8829 4.5639E-03 3 2.53 5.00 3.0491E-03 2.2642E-01 2.2947E-01 1.2306E-03 1.9784E-01 0.4036 0.8738 0.8568 6.2204E-03 5 5.40 10.00 7.4205E-04 3.4988E-02 3.5730E-02 3.0505E-04 2.9983E-02 0.4111 0.8570 0.8306 1.0174E-02 7 8.82 15.00 1.8888E-04 4.9641E-03 5.1530E-03 7.9804E-05 4.1340E-03 0.4225 0.8328 0.7868 1.9304E-02 9 12.35 20.00 5.0948E-05 6.9387E-04 7.4482E-04 2.3350E-05 5.6392E-04 0.4583 0.8127 0.7258 4.1406E-02 11 15.20 25.00 2.1628E-05 1.1990E-04 1.4153E-04 1.0573E-05 9.3404E-05 0.4889 0.7790 0.5853 1.1320E-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 0.27524 0.34288 0.34221 0.29275 0.35554 0.35583 0.30646 5.000 5.010 5.005 0.27764 0.36609 0.36491 0.27773 0.36915 0.36972 0.27967 10.000 10.010 10.005 0.26666 0.38105 0.37868 0.26295 0.38531 0.38657 0.26026 15.000 15.010 15.005 0.30687 0.39949 0.39609 0.29268 0.40624 0.40847 0.27102 20.000 20.010 20.005 0.21318 0.38085 0.36937 0.19779 0.38666 0.39483 0.17760 25.000 25.010 25.005 0.10199 0.31526 0.28264 0.09871 0.32668 0.35582 0.09556 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 8.72379E-02 7.45677E-04 6.96686E-03 7.71254E-03 5.94052E-04 0.079860 9 1 10.0 0.0 180.0 5.38294E-02 7.68839E-04 1.99857E-03 2.76741E-03 6.12504E-04 0.037128 9 4 10.0 45.0 135.0 5.91439E-02 7.61274E-04 2.32614E-03 3.08741E-03 6.06478E-04 0.039330 9 7 10.0 90.0 90.0 7.99084E-02 7.49692E-04 4.97936E-03 5.72905E-03 5.97250E-04 0.062313 8 1 20.0 0.0 180.0 4.22822E-02 7.80778E-04 1.03573E-03 1.81651E-03 6.22015E-04 0.024496 8 4 20.0 45.0 135.0 4.70715E-02 7.65665E-04 1.22492E-03 1.99058E-03 6.09975E-04 0.026022 8 7 20.0 90.0 90.0 6.92164E-02 7.48646E-04 2.86275E-03 3.61140E-03 5.96417E-04 0.041359 7 1 30.0 0.0 180.0 3.66610E-02 7.94845E-04 8.82511E-04 1.67736E-03 6.33222E-04 0.024072 7 4 30.0 45.0 135.0 4.06480E-02 7.83408E-04 9.91754E-04 1.77516E-03 6.24111E-04 0.024399 7 7 30.0 90.0 90.0 5.92555E-02 7.57023E-04 1.73508E-03 2.49210E-03 6.03091E-04 0.029281 6 1 40.0 0.0 180.0 3.47982E-02 8.02665E-04 9.81243E-04 1.78391E-03 6.39452E-04 0.028198 6 4 40.0 45.0 135.0 3.80500E-02 7.87087E-04 1.06422E-03 1.85131E-03 6.27042E-04 0.027969 6 7 40.0 90.0 90.0 5.34215E-02 7.57074E-04 1.54346E-03 2.30054E-03 6.03132E-04 0.028892 5 1 50.0 0.0 180.0 3.64847E-02 8.12252E-04 1.55004E-03 2.36229E-03 6.47090E-04 0.042485 5 4 50.0 45.0 135.0 3.88794E-02 7.90597E-04 1.61485E-03 2.40545E-03 6.29839E-04 0.041535 5 7 50.0 90.0 90.0 5.16804E-02 7.60744E-04 2.08770E-03 2.84845E-03 6.06055E-04 0.040396 4 1 60.0 0.0 180.0 4.33080E-02 7.99196E-04 3.61087E-03 4.41007E-03 6.36688E-04 0.083377 4 4 60.0 45.0 135.0 4.42881E-02 7.75634E-04 3.56567E-03 4.34130E-03 6.17918E-04 0.080511 4 7 60.0 90.0 90.0 5.46900E-02 7.55958E-04 4.16389E-03 4.91985E-03 6.02242E-04 0.076136 3 1 70.0 0.0 180.0 6.00901E-02 7.39706E-04 9.97418E-03 1.07139E-02 5.89295E-04 0.165987 3 4 70.0 45.0 135.0 5.83988E-02 7.25338E-04 9.59701E-03 1.03224E-02 5.77849E-04 0.164336 3 7 70.0 90.0 90.0 6.52885E-02 7.09805E-04 1.04363E-02 1.11461E-02 5.65474E-04 0.159849 2 1 80.0 0.0 180.0 1.02094E-01 6.32286E-04 2.47928E-02 2.54251E-02 5.03718E-04 0.242843 2 4 80.0 45.0 135.0 9.45370E-02 6.18478E-04 2.39798E-02 2.45983E-02 4.92718E-04 0.253655 2 7 80.0 90.0 90.0 9.39233E-02 6.08512E-04 2.51134E-02 2.57219E-02 4.84778E-04 0.267382 1 1 87.5 0.0 180.0 1.65067E-01 5.08653E-04 4.37256E-02 4.42343E-02 4.05224E-04 0.264896 1 4 87.5 45.0 135.0 1.48623E-01 4.74127E-04 4.34557E-02 4.39298E-02 3.77719E-04 0.292389 1 7 87.5 90.0 90.0 1.35214E-01 5.19682E-04 4.44740E-02 4.49937E-02 4.14011E-04 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 635.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 7.713E-03 8.724E-02 1.047E-01 9.010E-02 1.354E-01 6.144E-03 5.629E+00 7.457E-04 5.941E-04 1 0.00 0.00 1.384E-03 1.623E-01 2.962E-03 3.606E-03 5.586E-03 1.137E-03 4.014E+00 3 2.53 5.00 3.046E-04 6.646E-02 6.557E-04 8.809E-04 1.529E-03 1.540E-03 4.040E+00 5 5.40 10.00 7.669E-05 1.746E-02 1.602E-04 2.087E-04 3.360E-04 2.558E-03 3.978E+00 7 8.82 15.00 2.078E-05 3.425E-03 4.225E-05 5.120E-05 7.207E-05 5.027E-03 3.840E+00 9 12.35 20.00 6.790E-06 5.619E-04 1.046E-05 1.137E-05 1.326E-05 1.204E-02 3.439E+00 11 15.20 25.00 3.341E-06 9.980E-05 3.832E-06 3.886E-06 3.990E-06 3.577E-02 3.165E+00 Waveband 24 of 30 completed in 5.5 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 66.5 m at 645.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 640.0 nm to 650.0 nm: Ed(diffuse) = 3.112E-01 Ed(direct) = 9.056E-01 Ed(total) = 1.217E+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 0.0122 0.0004 0.3377 3 2.632 5.000 0.3250 0.0152 0.0005 0.3408 5 5.593 10.000 0.3250 0.0216 0.0008 0.3474 7 9.100 15.000 0.3250 0.0311 0.0011 0.3572 9 12.715 20.000 0.3250 0.0250 0.0009 0.3509 11 15.661 25.000 0.3250 0.0106 0.0004 0.3360 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 0.1665 0.0000 0.1674 3 2.632 5.000 0.0010 0.2051 0.0000 0.2060 5 5.593 10.000 0.0010 0.2864 0.0000 0.2874 7 9.100 15.000 0.0010 0.4052 0.0000 0.4062 9 12.715 20.000 0.0010 0.3289 0.0000 0.3299 11 15.661 25.000 0.0010 0.1449 0.0000 0.1459 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 0.00333 0.00000 0.00381 3 2.632 5.000 0.00048 0.00410 0.00000 0.00458 5 5.593 10.000 0.00048 0.00573 0.00000 0.00621 7 9.100 15.000 0.00048 0.00810 0.00000 0.00859 9 12.715 20.000 0.00048 0.00658 0.00000 0.00706 11 15.661 25.000 0.00048 0.00290 0.00000 0.00338 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 0.3377 0.1674 0.5051 0.3315 0.00381 0.02276 3 2.632 5.000 0.3408 0.2060 0.5468 0.3768 0.00458 0.02224 5 5.593 10.000 0.3474 0.2874 0.6348 0.4527 0.00621 0.02161 7 9.100 15.000 0.3572 0.4062 0.7634 0.5321 0.00859 0.02114 9 12.715 20.000 0.3509 0.3299 0.6808 0.4846 0.00706 0.02140 11 15.661 25.000 0.3360 0.1459 0.4819 0.3028 0.00338 0.02316 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 7.3936E-01 8 20.00 3.5275E-01 7 30.00 1.3055E-01 6 40.00 4.5339E-02 5 50.00 1.6847E-02 4 60.00 7.1077E-03 3 70.00 3.4297E-03 2 80.00 1.8705E-03 1 87.50 1.2691E-03 1 92.50 1.0082E-03 2 100.00 7.5702E-04 3 110.00 5.5848E-04 4 120.00 4.4854E-04 5 130.00 3.8777E-04 6 140.00 3.5478E-04 7 150.00 3.3756E-04 8 160.00 3.2913E-04 9 170.00 3.2543E-04 10 180.00 3.2416E-04 Asymptotic AOP values are MUu(inf) = 0.3960 MUd(inf) = 0.9026 MU(inf) = 0.8926 R(inf) = 0.0034 Lu(inf)/Ed(inf) = 0.000841 (1/sr) k(inf) = 0.3764 (1/m) absorp(check) = 0.3360 = 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 1.1398E-01 1.6753E+00 1.7893E+00 4.1786E-02 1.2168E+00 0.3666 0.7263 0.6567 3.4342E-02 1 0.00 0.00 1.2083E-02 1.3161E+00 1.3282E+00 4.8850E-03 1.1799E+00 0.4043 0.8965 0.8847 4.1403E-03 3 2.63 5.00 2.3869E-03 1.9260E-01 1.9498E-01 9.6561E-04 1.6876E-01 0.4045 0.8762 0.8606 5.7217E-03 5 5.59 10.00 5.4185E-04 2.6248E-02 2.6790E-02 2.2572E-04 2.2581E-02 0.4166 0.8603 0.8345 9.9957E-03 7 9.10 15.00 1.4137E-04 3.3160E-03 3.4573E-03 6.1475E-05 2.7682E-03 0.4349 0.8348 0.7829 2.2208E-02 9 12.71 20.00 4.3137E-05 4.2611E-04 4.6925E-04 2.0239E-05 3.4304E-04 0.4692 0.8050 0.6879 5.9001E-02 11 15.66 25.00 1.9800E-05 7.4108E-05 9.3908E-05 9.7448E-06 5.5208E-05 0.4922 0.7450 0.4841 1.7651E-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 0.30058 0.36914 0.36852 0.31749 0.38126 0.38153 0.33037 5.000 5.010 5.005 0.29738 0.39167 0.39051 0.29608 0.39443 0.39499 0.29573 10.000 10.010 10.005 0.27329 0.40559 0.40292 0.26670 0.40978 0.41123 0.25991 15.000 15.010 15.005 0.28756 0.42055 0.41511 0.27129 0.42826 0.43183 0.24875 20.000 20.010 20.005 0.18789 0.39118 0.37247 0.17622 0.40136 0.41550 0.16109 25.000 25.010 25.005 0.09753 0.30187 0.25875 0.09545 0.32199 0.37061 0.09335 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 8.39766E-02 6.54916E-04 6.74946E-03 7.40438E-03 5.38243E-04 0.080373 9 1 10.0 0.0 180.0 5.18170E-02 6.75370E-04 1.92964E-03 2.60501E-03 5.55053E-04 0.037240 9 4 10.0 45.0 135.0 5.69329E-02 6.68683E-04 2.24661E-03 2.91530E-03 5.49557E-04 0.039461 9 7 10.0 90.0 90.0 7.69211E-02 6.58411E-04 4.81985E-03 5.47826E-03 5.41115E-04 0.062660 8 1 20.0 0.0 180.0 4.07016E-02 6.85898E-04 9.97302E-04 1.68320E-03 5.63705E-04 0.024503 8 4 20.0 45.0 135.0 4.53118E-02 6.72549E-04 1.17988E-03 1.85243E-03 5.52734E-04 0.026039 8 7 20.0 90.0 90.0 6.66288E-02 6.57438E-04 2.76586E-03 3.42330E-03 5.40316E-04 0.041511 7 1 30.0 0.0 180.0 3.52904E-02 6.98276E-04 8.49519E-04 1.54779E-03 5.73878E-04 0.024072 7 4 30.0 45.0 135.0 3.91286E-02 6.88125E-04 9.54715E-04 1.64284E-03 5.65535E-04 0.024399 7 7 30.0 90.0 90.0 5.70390E-02 6.64729E-04 1.67221E-03 2.33694E-03 5.46308E-04 0.029317 6 1 40.0 0.0 180.0 3.34973E-02 7.05134E-04 9.44560E-04 1.64969E-03 5.79514E-04 0.028198 6 4 40.0 45.0 135.0 3.66275E-02 6.91314E-04 1.02444E-03 1.71575E-03 5.68157E-04 0.027969 6 7 40.0 90.0 90.0 5.14244E-02 6.64679E-04 1.48589E-03 2.15057E-03 5.46267E-04 0.028895 5 1 50.0 0.0 180.0 3.51208E-02 7.13529E-04 1.49209E-03 2.20562E-03 5.86414E-04 0.042485 5 4 50.0 45.0 135.0 3.74260E-02 6.94355E-04 1.55448E-03 2.24884E-03 5.70656E-04 0.041535 5 7 50.0 90.0 90.0 4.97484E-02 6.67848E-04 2.00966E-03 2.67751E-03 5.48871E-04 0.040396 4 1 60.0 0.0 180.0 4.16889E-02 7.02034E-04 3.47588E-03 4.17792E-03 5.76966E-04 0.083377 4 4 60.0 45.0 135.0 4.26324E-02 6.81177E-04 3.43237E-03 4.11355E-03 5.59826E-04 0.080511 4 7 60.0 90.0 90.0 5.26455E-02 6.63618E-04 4.00823E-03 4.67185E-03 5.45394E-04 0.076136 3 1 70.0 0.0 180.0 5.78437E-02 6.49764E-04 9.60131E-03 1.02511E-02 5.34009E-04 0.165987 3 4 70.0 45.0 135.0 5.62156E-02 6.36996E-04 9.23824E-03 9.87524E-03 5.23515E-04 0.164336 3 7 70.0 90.0 90.0 6.28478E-02 6.23136E-04 1.00462E-02 1.06693E-02 5.12124E-04 0.159849 2 1 80.0 0.0 180.0 9.82774E-02 5.55409E-04 2.38660E-02 2.44214E-02 4.56463E-04 0.242843 2 4 80.0 45.0 135.0 9.10029E-02 5.43162E-04 2.30834E-02 2.36265E-02 4.46398E-04 0.253655 2 7 80.0 90.0 90.0 9.04121E-02 5.34270E-04 2.41746E-02 2.47088E-02 4.39090E-04 0.267382 1 1 87.5 0.0 180.0 1.58896E-01 4.46832E-04 4.20910E-02 4.25378E-02 3.67229E-04 0.264896 1 4 87.5 45.0 135.0 1.43067E-01 4.16424E-04 4.18311E-02 4.22476E-02 3.42238E-04 0.292389 1 7 87.5 90.0 90.0 1.30159E-01 4.56376E-04 4.28114E-02 4.32678E-02 3.75073E-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 7.404E-03 8.398E-02 1.007E-01 8.671E-02 1.303E-01 6.085E-03 5.643E+00 6.549E-04 5.382E-04 1 0.00 0.00 1.216E-03 1.562E-01 2.627E-03 3.206E-03 4.986E-03 1.030E-03 4.019E+00 3 2.63 5.00 2.406E-04 5.668E-02 5.125E-04 6.882E-04 1.194E-03 1.426E-03 4.013E+00 5 5.59 10.00 5.806E-05 1.324E-02 1.154E-04 1.487E-04 2.362E-04 2.571E-03 3.888E+00 7 9.10 15.00 1.667E-05 2.322E-03 3.037E-05 3.581E-05 4.852E-05 6.022E-03 3.688E+00 9 12.71 20.00 6.049E-06 3.430E-04 8.405E-06 8.888E-06 9.899E-06 1.763E-02 3.346E+00 11 15.66 25.00 3.107E-06 5.609E-05 3.434E-06 3.459E-06 3.508E-06 5.627E-02 3.137E+00 Waveband 25 of 30 completed in 5.7 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 62.9 m at 655.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 650.0 nm to 660.0 nm: Ed(diffuse) = 2.955E-01 Ed(direct) = 8.677E-01 Ed(total) = 1.163E+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 0.0145 0.0004 0.3859 3 2.860 5.000 0.3710 0.0181 0.0005 0.3896 5 6.049 10.000 0.3710 0.0257 0.0007 0.3973 7 9.783 15.000 0.3710 0.0369 0.0010 0.4089 9 13.625 20.000 0.3710 0.0297 0.0008 0.4014 11 16.799 25.000 0.3710 0.0126 0.0003 0.3839 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 0.1639 0.0000 0.1648 3 2.860 5.000 0.0009 0.2019 0.0000 0.2028 5 6.049 10.000 0.0009 0.2821 0.0000 0.2830 7 9.783 15.000 0.0009 0.3990 0.0000 0.3999 9 13.625 20.000 0.0009 0.3239 0.0000 0.3248 11 16.799 25.000 0.0009 0.1427 0.0000 0.1436 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 0.00328 0.00000 0.00373 3 2.860 5.000 0.00045 0.00404 0.00000 0.00449 5 6.049 10.000 0.00045 0.00564 0.00000 0.00609 7 9.783 15.000 0.00045 0.00798 0.00000 0.00843 9 13.625 20.000 0.00045 0.00648 0.00000 0.00693 11 16.799 25.000 0.00045 0.00285 0.00000 0.00330 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 0.3859 0.1648 0.5507 0.2993 0.00373 0.02262 3 2.860 5.000 0.3896 0.2028 0.5924 0.3424 0.00449 0.02213 5 6.049 10.000 0.3973 0.2830 0.6803 0.4159 0.00609 0.02153 7 9.783 15.000 0.4089 0.3999 0.8088 0.4945 0.00843 0.02108 9 13.625 20.000 0.4014 0.3248 0.7263 0.4472 0.00693 0.02133 11 16.799 25.000 0.3839 0.1436 0.5275 0.2723 0.00330 0.02301 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 7.1358E-01 8 20.00 3.1607E-01 7 30.00 1.0847E-01 6 40.00 3.5695E-02 5 50.00 1.2895E-02 4 60.00 5.3839E-03 3 70.00 2.5923E-03 2 80.00 1.4145E-03 1 87.50 9.6065E-04 1 92.50 7.6423E-04 2 100.00 5.7455E-04 3 110.00 4.2468E-04 4 120.00 3.4199E-04 5 130.00 2.9655E-04 6 140.00 2.7212E-04 7 150.00 2.5957E-04 8 160.00 2.5358E-04 9 170.00 2.5102E-04 10 180.00 2.5014E-04 Asymptotic AOP values are MUu(inf) = 0.3974 MUd(inf) = 0.9107 MU(inf) = 0.9021 R(inf) = 0.0029 Lu(inf)/Ed(inf) = 0.000717 (1/sr) k(inf) = 0.4256 (1/m) absorp(check) = 0.3839 = 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 1.0798E-01 1.5999E+00 1.7079E+00 3.9605E-02 1.1632E+00 0.3668 0.7271 0.6579 3.4047E-02 1 0.00 0.00 9.9859E-03 1.2568E+00 1.2668E+00 4.0349E-03 1.1277E+00 0.4041 0.8972 0.8870 3.5781E-03 3 2.86 5.00 1.6271E-03 1.4040E-01 1.4202E-01 6.7145E-04 1.2354E-01 0.4127 0.8799 0.8651 5.4351E-03 5 6.05 10.00 3.9053E-04 1.4706E-02 1.5096E-02 1.7271E-04 1.2693E-02 0.4423 0.8631 0.8293 1.3607E-02 7 9.78 15.00 1.4049E-04 1.5044E-03 1.6449E-03 6.4999E-05 1.2321E-03 0.4627 0.8190 0.7095 5.2756E-02 9 13.63 20.00 5.2371E-05 1.9364E-04 2.4601E-04 2.4913E-05 1.4163E-04 0.4757 0.7314 0.4745 1.7590E-01 11 16.80 25.00 2.1920E-05 4.3819E-05 6.5739E-05 1.0805E-05 2.7855E-05 0.4929 0.6357 0.2594 3.8790E-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 0.35021 0.42335 0.42278 0.36448 0.43458 0.43483 0.37438 5.000 5.010 5.005 0.31787 0.44517 0.44371 0.30988 0.44758 0.44833 0.30055 10.000 10.010 10.005 0.23160 0.45611 0.45030 0.21810 0.46152 0.46488 0.20551 15.000 15.010 15.005 0.22184 0.44691 0.42767 0.21308 0.46466 0.47869 0.20296 20.000 20.010 20.005 0.17979 0.35721 0.31941 0.17744 0.38754 0.43244 0.17233 25.000 25.010 25.005 0.09226 0.25608 0.20143 0.09088 0.27384 0.38997 0.08979 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 7.97432E-02 5.42418E-04 6.44902E-03 6.99143E-03 4.66298E-04 0.080872 9 1 10.0 0.0 180.0 4.92048E-02 5.59277E-04 1.83771E-03 2.39698E-03 4.80791E-04 0.037348 9 4 10.0 45.0 135.0 5.40628E-02 5.53752E-04 2.14023E-03 2.69398E-03 4.76042E-04 0.039588 9 7 10.0 90.0 90.0 7.30434E-02 5.45264E-04 4.60150E-03 5.14676E-03 4.68744E-04 0.062997 8 1 20.0 0.0 180.0 3.86497E-02 5.67885E-04 9.47296E-04 1.51518E-03 4.88191E-04 0.024510 8 4 20.0 45.0 135.0 4.30276E-02 5.56852E-04 1.12110E-03 1.67795E-03 4.78706E-04 0.026055 8 7 20.0 90.0 90.0 6.32700E-02 5.44355E-04 2.63580E-03 3.18015E-03 4.67963E-04 0.041660 7 1 30.0 0.0 180.0 3.35114E-02 5.77999E-04 8.06694E-04 1.38469E-03 4.96885E-04 0.024072 7 4 30.0 45.0 135.0 3.71563E-02 5.69619E-04 9.06620E-04 1.47624E-03 4.89681E-04 0.024400 7 7 30.0 90.0 90.0 5.41623E-02 5.50249E-04 1.58975E-03 2.14000E-03 4.73030E-04 0.029352 6 1 40.0 0.0 180.0 3.18087E-02 5.83464E-04 8.96943E-04 1.48041E-03 5.01583E-04 0.028198 6 4 40.0 45.0 135.0 3.47811E-02 5.72045E-04 9.72797E-04 1.54484E-03 4.91767E-04 0.027969 6 7 40.0 90.0 90.0 4.88321E-02 5.49949E-04 1.41111E-03 1.96106E-03 4.72772E-04 0.028897 5 1 50.0 0.0 180.0 3.33503E-02 5.90210E-04 1.41687E-03 2.00708E-03 5.07383E-04 0.042485 5 4 50.0 45.0 135.0 3.55393E-02 5.74350E-04 1.47612E-03 2.05047E-03 4.93748E-04 0.041535 5 7 50.0 90.0 90.0 4.72405E-02 5.52297E-04 1.90835E-03 2.46064E-03 4.74790E-04 0.040396 4 1 60.0 0.0 180.0 3.95873E-02 5.80501E-04 3.30066E-03 3.88116E-03 4.99036E-04 0.083377 4 4 60.0 45.0 135.0 4.04833E-02 5.63236E-04 3.25934E-03 3.82257E-03 4.84194E-04 0.080511 4 7 60.0 90.0 90.0 4.99915E-02 5.48512E-04 3.80617E-03 4.35468E-03 4.71537E-04 0.076136 3 1 70.0 0.0 180.0 5.49277E-02 5.37082E-04 9.11729E-03 9.65438E-03 4.61710E-04 0.165987 3 4 70.0 45.0 135.0 5.33817E-02 5.26486E-04 8.77253E-03 9.29901E-03 4.52601E-04 0.164336 3 7 70.0 90.0 90.0 5.96795E-02 5.14749E-04 9.53971E-03 1.00545E-02 4.42511E-04 0.159849 2 1 80.0 0.0 180.0 9.33230E-02 4.58939E-04 2.26629E-02 2.31218E-02 3.94534E-04 0.242843 2 4 80.0 45.0 135.0 8.64153E-02 4.48761E-04 2.19197E-02 2.23685E-02 3.85784E-04 0.253655 2 7 80.0 90.0 90.0 8.58543E-02 4.41113E-04 2.29559E-02 2.33970E-02 3.79210E-04 0.267382 1 1 87.5 0.0 180.0 1.50886E-01 3.69113E-04 3.99691E-02 4.03382E-02 3.17314E-04 0.264896 1 4 87.5 45.0 135.0 1.35854E-01 3.43937E-04 3.97224E-02 4.00663E-02 2.95670E-04 0.292389 1 7 87.5 90.0 90.0 1.23598E-01 3.76631E-04 4.06532E-02 4.10299E-02 3.23776E-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 6.991E-03 7.974E-02 9.561E-02 8.231E-02 1.237E-01 6.010E-03 5.665E+00 5.424E-04 4.663E-04 1 0.00 0.00 1.007E-03 1.483E-01 2.196E-03 2.682E-03 4.178E-03 8.928E-04 4.008E+00 3 2.86 5.00 1.727E-04 4.192E-02 3.428E-04 4.529E-04 7.696E-04 1.398E-03 3.889E+00 5 6.05 10.00 4.791E-05 7.612E-03 7.747E-05 9.327E-05 1.347E-04 3.775E-03 3.605E+00 7 9.78 15.00 1.867E-05 1.044E-03 2.739E-05 2.933E-05 3.385E-05 1.515E-02 3.481E+00 9 13.63 20.00 7.401E-06 1.278E-04 9.841E-06 9.970E-06 1.024E-05 5.226E-02 3.366E+00 11 16.80 25.00 3.423E-06 2.031E-05 3.770E-06 3.775E-06 3.785E-06 1.229E-01 3.157E+00 Waveband 26 of 30 completed in 5.9 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 59.0 m at 665.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 660.0 nm to 670.0 nm: Ed(diffuse) = 3.058E-01 Ed(direct) = 9.058E-01 Ed(total) = 1.212E+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 0.0203 0.0003 0.4496 3 3.168 5.000 0.4290 0.0252 0.0004 0.4546 5 6.671 10.000 0.4290 0.0358 0.0006 0.4654 7 10.731 15.000 0.4290 0.0515 0.0008 0.4813 9 14.901 20.000 0.4290 0.0414 0.0007 0.4711 11 18.389 25.000 0.4290 0.0175 0.0003 0.4468 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 0.1614 0.0000 0.1623 3 3.168 5.000 0.0008 0.1989 0.0000 0.1997 5 6.671 10.000 0.0008 0.2778 0.0000 0.2787 7 10.731 15.000 0.0008 0.3930 0.0000 0.3939 9 14.901 20.000 0.0008 0.3190 0.0000 0.3199 11 18.389 25.000 0.0008 0.1406 0.0000 0.1414 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 0.00323 0.00000 0.00365 3 3.168 5.000 0.00042 0.00398 0.00000 0.00440 5 6.671 10.000 0.00042 0.00556 0.00000 0.00598 7 10.731 15.000 0.00042 0.00786 0.00000 0.00828 9 14.901 20.000 0.00042 0.00638 0.00000 0.00680 11 18.389 25.000 0.00042 0.00281 0.00000 0.00323 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 0.4496 0.1623 0.6119 0.2652 0.00365 0.02249 3 3.168 5.000 0.4546 0.1997 0.6544 0.3052 0.00440 0.02203 5 6.671 10.000 0.4654 0.2787 0.7440 0.3745 0.00598 0.02145 7 10.731 15.000 0.4813 0.3939 0.8752 0.4500 0.00828 0.02103 9 14.901 20.000 0.4711 0.3199 0.7909 0.4044 0.00680 0.02126 11 18.389 25.000 0.4468 0.1414 0.5882 0.2404 0.00323 0.02286 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 6.8181E-01 8 20.00 2.7580E-01 7 30.00 8.6771E-02 6 40.00 2.6961E-02 5 50.00 9.4828E-03 4 60.00 3.9275E-03 3 70.00 1.8901E-03 2 80.00 1.0329E-03 1 87.50 7.0251E-04 1 92.50 5.5979E-04 2 100.00 4.2148E-04 3 110.00 3.1223E-04 4 120.00 2.5218E-04 5 130.00 2.1939E-04 6 140.00 2.0196E-04 7 150.00 1.9317E-04 8 160.00 1.8909E-04 9 170.00 1.8740E-04 10 180.00 1.8683E-04 Asymptotic AOP values are MUu(inf) = 0.3990 MUd(inf) = 0.9191 MU(inf) = 0.9119 R(inf) = 0.0024 Lu(inf)/Ed(inf) = 0.000600 (1/sr) k(inf) = 0.4900 (1/m) absorp(check) = 0.4469 = 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 1.1181E-01 1.6647E+00 1.7765E+00 4.1082E-02 1.2116E+00 0.3674 0.7278 0.6589 3.3908E-02 1 0.00 0.00 9.5364E-03 1.3082E+00 1.3178E+00 3.9133E-03 1.1744E+00 0.4104 0.8977 0.8882 3.3322E-03 3 3.17 5.00 1.7224E-03 1.0281E-01 1.0453E-01 7.7129E-04 9.0639E-02 0.4478 0.8816 0.8597 8.5095E-03 5 6.67 10.00 7.8981E-04 8.0987E-03 8.8885E-03 3.7917E-04 6.7990E-03 0.4801 0.8395 0.7223 5.5768E-02 7 10.73 15.00 4.4525E-04 1.0252E-03 1.4705E-03 2.1131E-04 6.8927E-04 0.4746 0.6723 0.3250 3.0657E-01 9 14.90 20.00 1.6917E-04 2.7876E-04 4.4792E-04 7.9807E-05 1.5837E-04 0.4718 0.5681 0.1754 5.0392E-01 11 18.39 25.00 5.3352E-05 8.7283E-05 1.4064E-04 2.6099E-05 4.9340E-05 0.4892 0.5653 0.1653 5.2896E-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 0.38929 0.49485 0.49409 0.39334 0.50487 0.50524 0.39143 5.000 5.010 5.005 0.22819 0.51319 0.50849 0.20769 0.51657 0.51923 0.18756 10.000 10.010 10.005 0.10594 0.48872 0.45465 0.10174 0.50977 0.53392 0.10140 15.000 15.010 15.005 0.18814 0.30457 0.26930 0.18888 0.36596 0.44436 0.18977 20.000 20.010 20.005 0.20607 0.22072 0.21519 0.20928 0.23641 0.26399 0.21296 25.000 25.010 25.005 0.08703 0.28414 0.20932 0.08527 0.26931 0.47638 0.08431 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 8.25261E-02 5.38279E-04 6.71350E-03 7.25178E-03 4.44279E-04 0.081350 9 1 10.0 0.0 180.0 5.09220E-02 5.53507E-04 1.90713E-03 2.46064E-03 4.56847E-04 0.037452 9 4 10.0 45.0 135.0 5.59495E-02 5.48480E-04 2.22173E-03 2.77021E-03 4.52698E-04 0.039710 9 7 10.0 90.0 90.0 7.55925E-02 5.41047E-04 4.78647E-03 5.32752E-03 4.46563E-04 0.063319 8 1 20.0 0.0 180.0 3.99985E-02 5.60945E-04 9.80623E-04 1.54157E-03 4.62986E-04 0.024516 8 4 20.0 45.0 135.0 4.45291E-02 5.50789E-04 1.16092E-03 1.71171E-03 4.54604E-04 0.026071 8 7 20.0 90.0 90.0 6.54780E-02 5.39953E-04 2.73706E-03 3.27701E-03 4.45660E-04 0.041801 7 1 30.0 0.0 180.0 3.46809E-02 5.69879E-04 8.34846E-04 1.40472E-03 4.70360E-04 0.024072 7 4 30.0 45.0 135.0 3.84532E-02 5.62637E-04 9.38293E-04 1.50093E-03 4.64383E-04 0.024401 7 7 30.0 90.0 90.0 5.60512E-02 5.45476E-04 1.64706E-03 2.19253E-03 4.50219E-04 0.029385 6 1 40.0 0.0 180.0 3.29187E-02 5.73962E-04 9.28245E-04 1.50221E-03 4.73730E-04 0.028198 6 4 40.0 45.0 135.0 3.59949E-02 5.63991E-04 1.00675E-03 1.57074E-03 4.65501E-04 0.027969 6 7 40.0 90.0 90.0 5.05362E-02 5.44422E-04 1.46047E-03 2.00489E-03 4.49349E-04 0.028900 5 1 50.0 0.0 180.0 3.45142E-02 5.79511E-04 1.46632E-03 2.04583E-03 4.78310E-04 0.042485 5 4 50.0 45.0 135.0 3.67795E-02 5.65279E-04 1.52763E-03 2.09291E-03 4.66563E-04 0.041535 5 7 50.0 90.0 90.0 4.88891E-02 5.45620E-04 1.97495E-03 2.52057E-03 4.50337E-04 0.040396 4 1 60.0 0.0 180.0 4.09689E-02 5.68900E-04 3.41585E-03 3.98475E-03 4.69552E-04 0.083377 4 4 60.0 45.0 135.0 4.18961E-02 5.53312E-04 3.37308E-03 3.92640E-03 4.56686E-04 0.080511 4 7 60.0 90.0 90.0 5.17361E-02 5.40546E-04 3.93900E-03 4.47954E-03 4.46149E-04 0.076136 3 1 70.0 0.0 180.0 5.68446E-02 5.25224E-04 9.43547E-03 9.96070E-03 4.33503E-04 0.165987 3 4 70.0 45.0 135.0 5.52447E-02 5.16001E-04 9.07867E-03 9.59468E-03 4.25891E-04 0.164336 3 7 70.0 90.0 90.0 6.17622E-02 5.05427E-04 9.87263E-03 1.03781E-02 4.17163E-04 0.159849 2 1 80.0 0.0 180.0 9.65799E-02 4.47866E-04 2.34538E-02 2.39016E-02 3.69654E-04 0.242843 2 4 80.0 45.0 135.0 8.94310E-02 4.38770E-04 2.26847E-02 2.31234E-02 3.62147E-04 0.253655 2 7 80.0 90.0 90.0 8.88505E-02 4.31532E-04 2.37570E-02 2.41885E-02 3.56173E-04 0.267382 1 1 87.5 0.0 180.0 1.56152E-01 3.59395E-04 4.13640E-02 4.17234E-02 2.96633E-04 0.264896 1 4 87.5 45.0 135.0 1.40596E-01 3.35407E-04 4.11086E-02 4.14440E-02 2.76835E-04 0.292389 1 7 87.5 90.0 90.0 1.27911E-01 3.66896E-04 4.20720E-02 4.24389E-02 3.02824E-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 7.252E-03 8.253E-02 9.894E-02 8.517E-02 1.280E-01 5.985E-03 5.665E+00 5.383E-04 4.443E-04 1 0.00 0.00 9.992E-04 1.535E-01 2.107E-03 2.545E-03 3.892E-03 8.508E-04 3.917E+00 3 3.17 5.00 2.185E-04 3.124E-02 3.290E-04 3.963E-04 5.897E-04 2.410E-03 3.531E+00 5 6.67 10.00 1.136E-04 4.119E-03 1.383E-04 1.449E-04 1.622E-04 1.671E-02 3.338E+00 7 10.73 15.00 6.114E-05 4.693E-04 8.258E-05 8.313E-05 8.440E-05 8.871E-02 3.456E+00 9 14.90 20.00 2.283E-05 7.770E-05 3.215E-05 3.217E-05 3.222E-05 1.442E-01 3.496E+00 11 18.39 25.00 8.029E-06 2.130E-05 9.310E-06 9.311E-06 9.312E-06 1.627E-01 3.250E+00 Waveband 27 of 30 completed in 6.2 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 58.0 m at 675.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 670.0 nm to 680.0 nm: Ed(diffuse) = 2.985E-01 Ed(direct) = 8.912E-01 Ed(total) = 1.190E+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 0.0206 0.0003 0.4689 3 3.251 5.000 0.4480 0.0257 0.0004 0.4741 5 6.834 10.000 0.4480 0.0365 0.0005 0.4850 7 10.967 15.000 0.4480 0.0525 0.0007 0.5012 9 15.209 20.000 0.4480 0.0422 0.0006 0.4908 11 18.777 25.000 0.4480 0.0179 0.0002 0.4661 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 0.1591 0.0000 0.1598 3 3.251 5.000 0.0008 0.1959 0.0000 0.1967 5 6.834 10.000 0.0008 0.2737 0.0000 0.2745 7 10.967 15.000 0.0008 0.3872 0.0000 0.3880 9 15.209 20.000 0.0008 0.3143 0.0000 0.3151 11 18.777 25.000 0.0008 0.1385 0.0000 0.1393 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 0.00318 0.00000 0.00358 3 3.251 5.000 0.00040 0.00392 0.00000 0.00431 5 6.834 10.000 0.00040 0.00547 0.00000 0.00587 7 10.967 15.000 0.00040 0.00774 0.00000 0.00814 9 15.209 20.000 0.00040 0.00629 0.00000 0.00668 11 18.777 25.000 0.00040 0.00277 0.00000 0.00317 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 0.4689 0.1598 0.6288 0.2542 0.00358 0.02237 3 3.251 5.000 0.4741 0.1967 0.6708 0.2933 0.00431 0.02193 5 6.834 10.000 0.4850 0.2745 0.7595 0.3614 0.00587 0.02138 7 10.967 15.000 0.5012 0.3880 0.8892 0.4364 0.00814 0.02098 9 15.209 20.000 0.4908 0.3151 0.8059 0.3910 0.00668 0.02120 11 18.777 25.000 0.4661 0.1393 0.6054 0.2301 0.00317 0.02272 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 6.7020E-01 8 20.00 2.6231E-01 7 30.00 8.0071E-02 6 40.00 2.4413E-02 5 50.00 8.5167E-03 4 60.00 3.5194E-03 3 70.00 1.6935E-03 2 80.00 9.2564E-04 1 87.50 6.2965E-04 1 92.50 5.0186E-04 2 100.00 3.7788E-04 3 110.00 2.7997E-04 4 120.00 2.2620E-04 5 130.00 1.9690E-04 6 140.00 1.8136E-04 7 150.00 1.7357E-04 8 160.00 1.6999E-04 9 170.00 1.6852E-04 10 180.00 1.6803E-04 Asymptotic AOP values are MUu(inf) = 0.3992 MUd(inf) = 0.9219 MU(inf) = 0.9151 R(inf) = 0.0023 Lu(inf)/Ed(inf) = 0.000562 (1/sr) k(inf) = 0.5094 (1/m) absorp(check) = 0.4662 = 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 1.1022E-01 1.6330E+00 1.7432E+00 4.0745E-02 1.1896E+00 0.3697 0.7285 0.6591 3.4250E-02 1 0.00 0.00 1.1169E-02 1.2858E+00 1.2970E+00 4.7673E-03 1.1537E+00 0.4268 0.8972 0.8858 4.1323E-03 3 3.25 5.00 3.3464E-03 9.2687E-02 9.6033E-02 1.5882E-03 8.1096E-02 0.4746 0.8749 0.8279 1.9585E-02 5 6.83 10.00 2.1894E-03 8.1682E-03 1.0358E-02 1.0666E-03 6.2931E-03 0.4872 0.7704 0.5046 1.6949E-01 7 10.97 15.00 1.3369E-03 2.0230E-03 3.3598E-03 6.3527E-04 1.1556E-03 0.4752 0.5712 0.1549 5.4973E-01 9 15.21 20.00 5.0053E-04 7.6012E-04 1.2606E-03 2.3551E-04 4.1199E-04 0.4705 0.5420 0.1400 5.7164E-01 11 18.78 25.00 1.4466E-04 2.3775E-04 3.8241E-04 7.0547E-05 1.3340E-04 0.4877 0.5611 0.1643 5.2886E-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 0.33854 0.51628 0.51474 0.32795 0.52557 0.52640 0.31176 5.000 5.010 5.005 0.11805 0.52335 0.50920 0.10537 0.53109 0.53961 0.09539 10.000 10.010 10.005 0.07320 0.40922 0.33810 0.07402 0.46141 0.54065 0.07822 15.000 15.010 15.005 0.18708 0.16887 0.17611 0.18887 0.20917 0.23396 0.19101 20.000 20.010 20.005 0.21409 0.19809 0.20444 0.21829 0.19979 0.17511 0.22428 25.000 25.010 25.005 0.08515 0.30896 0.22423 0.08322 0.28836 0.51913 0.08215 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 8.05378E-02 6.87580E-04 6.58867E-03 7.27625E-03 5.77974E-04 0.081808 9 1 10.0 0.0 180.0 4.96951E-02 7.02856E-04 1.86614E-03 2.56900E-03 5.90815E-04 0.037552 9 4 10.0 45.0 135.0 5.46015E-02 6.97728E-04 2.17458E-03 2.87231E-03 5.86504E-04 0.039826 9 7 10.0 90.0 90.0 7.37712E-02 6.91078E-04 4.69399E-03 5.38507E-03 5.80914E-04 0.063629 8 1 20.0 0.0 180.0 3.90348E-02 7.09431E-04 9.57247E-04 1.66668E-03 5.96341E-04 0.024523 8 4 20.0 45.0 135.0 4.34563E-02 6.98709E-04 1.13360E-03 1.83231E-03 5.87329E-04 0.026086 8 7 20.0 90.0 90.0 6.39004E-02 6.89398E-04 2.67980E-03 3.36920E-03 5.79502E-04 0.041937 7 1 30.0 0.0 180.0 3.38453E-02 7.17992E-04 8.14731E-04 1.53272E-03 6.03538E-04 0.024072 7 4 30.0 45.0 135.0 3.75269E-02 7.11804E-04 9.15717E-04 1.62752E-03 5.98336E-04 0.024402 7 7 30.0 90.0 90.0 5.46996E-02 6.95891E-04 1.60908E-03 2.30497E-03 5.84959E-04 0.029417 6 1 40.0 0.0 180.0 3.21256E-02 7.19874E-04 9.05880E-04 1.62575E-03 6.05120E-04 0.028198 6 4 40.0 45.0 135.0 3.51276E-02 7.11045E-04 9.82490E-04 1.69353E-03 5.97698E-04 0.027969 6 7 40.0 90.0 90.0 4.93186E-02 6.93052E-04 1.42540E-03 2.11845E-03 5.82573E-04 0.028902 5 1 50.0 0.0 180.0 3.36826E-02 7.24199E-04 1.43099E-03 2.15519E-03 6.08755E-04 0.042485 5 4 50.0 45.0 135.0 3.58934E-02 7.10373E-04 1.49083E-03 2.20120E-03 5.97133E-04 0.041535 5 7 50.0 90.0 90.0 4.77112E-02 6.92074E-04 1.92736E-03 2.61944E-03 5.81751E-04 0.040396 4 1 60.0 0.0 180.0 3.99818E-02 7.08336E-04 3.33355E-03 4.04188E-03 5.95421E-04 0.083377 4 4 60.0 45.0 135.0 4.08866E-02 6.92923E-04 3.29181E-03 3.98474E-03 5.82465E-04 0.080511 4 7 60.0 90.0 90.0 5.04896E-02 6.82558E-04 3.84409E-03 4.52665E-03 5.73752E-04 0.076136 3 1 70.0 0.0 180.0 5.54750E-02 6.51225E-04 9.20814E-03 9.85936E-03 5.47413E-04 0.165987 3 4 70.0 45.0 135.0 5.39136E-02 6.43298E-04 8.85994E-03 9.50324E-03 5.40750E-04 0.164336 3 7 70.0 90.0 90.0 6.02742E-02 6.33714E-04 9.63476E-03 1.02685E-02 5.32694E-04 0.159849 2 1 80.0 0.0 180.0 9.42529E-02 5.52987E-04 2.28887E-02 2.34417E-02 4.64836E-04 0.242843 2 4 80.0 45.0 135.0 8.72763E-02 5.44422E-04 2.21381E-02 2.26825E-02 4.57637E-04 0.253655 2 7 80.0 90.0 90.0 8.67098E-02 5.37073E-04 2.31846E-02 2.37217E-02 4.51458E-04 0.267382 1 1 87.5 0.0 180.0 1.52390E-01 4.41693E-04 4.03674E-02 4.08091E-02 3.71283E-04 0.264896 1 4 87.5 45.0 135.0 1.37208E-01 4.13957E-04 4.01182E-02 4.05321E-02 3.47969E-04 0.292389 1 7 87.5 90.0 90.0 1.24829E-01 4.52593E-04 4.10583E-02 4.15109E-02 3.80445E-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 7.276E-03 8.054E-02 9.660E-02 8.317E-02 1.249E-01 6.116E-03 5.600E+00 6.876E-04 5.780E-04 1 0.00 0.00 1.276E-03 1.498E-01 2.413E-03 2.826E-03 4.082E-03 1.106E-03 3.735E+00 3 3.25 5.00 4.758E-04 2.786E-02 5.877E-04 6.437E-04 8.048E-04 5.867E-03 3.338E+00 5 6.83 10.00 3.230E-04 3.577E-03 3.730E-04 3.779E-04 3.909E-04 5.133E-02 3.302E+00 7 10.97 15.00 1.834E-04 5.603E-04 2.470E-04 2.474E-04 2.482E-04 1.587E-01 3.464E+00 9 15.21 20.00 6.673E-05 1.628E-04 9.549E-05 9.551E-05 9.554E-05 1.620E-01 3.529E+00 11 18.78 25.00 2.146E-05 5.397E-05 2.540E-05 2.540E-05 2.540E-05 1.609E-01 3.287E+00 Waveband 28 of 30 completed in 6.3 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 56.4 m at 685.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 680.0 nm to 690.0 nm: Ed(diffuse) = 2.721E-01 Ed(direct) = 8.187E-01 Ed(total) = 1.091E+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 0.0161 0.0002 0.5023 3 3.402 5.000 0.4860 0.0200 0.0003 0.5063 5 7.122 10.000 0.4860 0.0284 0.0004 0.5148 7 11.371 15.000 0.4860 0.0408 0.0006 0.5274 9 15.724 20.000 0.4860 0.0328 0.0005 0.5193 11 19.430 25.000 0.4860 0.0139 0.0002 0.5001 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 0.1567 0.0000 0.1575 3 3.402 5.000 0.0007 0.1931 0.0000 0.1938 5 7.122 10.000 0.0007 0.2697 0.0000 0.2704 7 11.371 15.000 0.0007 0.3816 0.0000 0.3823 9 15.724 20.000 0.0007 0.3097 0.0000 0.3105 11 19.430 25.000 0.0007 0.1365 0.0000 0.1372 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 0.00313 0.00000 0.00351 3 3.402 5.000 0.00037 0.00386 0.00000 0.00423 5 7.122 10.000 0.00037 0.00539 0.00000 0.00576 7 11.371 15.000 0.00037 0.00763 0.00000 0.00800 9 15.724 20.000 0.00037 0.00619 0.00000 0.00657 11 19.430 25.000 0.00037 0.00273 0.00000 0.00310 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 0.5023 0.1575 0.6598 0.2387 0.00351 0.02226 3 3.402 5.000 0.5063 0.1938 0.7001 0.2769 0.00423 0.02184 5 7.122 10.000 0.5148 0.2704 0.7853 0.3444 0.00576 0.02132 7 11.371 15.000 0.5274 0.3823 0.9098 0.4202 0.00800 0.02093 9 15.724 20.000 0.5193 0.3105 0.8298 0.3742 0.00657 0.02115 11 19.430 25.000 0.5001 0.1372 0.6373 0.2153 0.00310 0.02259 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 6.5221E-01 8 20.00 2.4265E-01 7 30.00 7.0804E-02 6 40.00 2.1012E-02 5 50.00 7.2513E-03 4 60.00 2.9892E-03 3 70.00 1.4389E-03 2 80.00 7.8712E-04 1 87.50 5.3572E-04 1 92.50 4.2726E-04 2 100.00 3.2185E-04 3 110.00 2.3861E-04 4 120.00 1.9297E-04 5 130.00 1.6817E-04 6 140.00 1.5509E-04 7 150.00 1.4859E-04 8 160.00 1.4564E-04 9 170.00 1.4446E-04 10 180.00 1.4406E-04 Asymptotic AOP values are MUu(inf) = 0.3998 MUd(inf) = 0.9258 MU(inf) = 0.9196 R(inf) = 0.0021 Lu(inf)/Ed(inf) = 0.000512 (1/sr) k(inf) = 0.5439 (1/m) absorp(check) = 0.5002 = 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 1.0126E-01 1.4960E+00 1.5972E+00 3.7609E-02 1.0908E+00 0.3714 0.7291 0.6594 3.4479E-02 1 0.00 0.00 1.1339E-02 1.1797E+00 1.1910E+00 4.9578E-03 1.0581E+00 0.4372 0.8969 0.8842 4.6855E-03 3 3.40 5.00 4.1678E-03 7.2631E-02 7.6799E-02 2.0161E-03 6.3041E-02 0.4837 0.8680 0.7946 3.1981E-02 5 7.12 10.00 3.0048E-03 7.0255E-03 1.0030E-02 1.4707E-03 4.9638E-03 0.4894 0.7065 0.3483 2.9628E-01 7 11.37 15.00 1.8798E-03 2.5417E-03 4.4216E-03 8.9505E-04 1.3686E-03 0.4761 0.5385 0.1071 6.5397E-01 9 15.72 20.00 6.9928E-04 1.0302E-03 1.7295E-03 3.2965E-04 5.5180E-04 0.4714 0.5356 0.1284 5.9740E-01 11 19.43 25.00 1.9600E-04 3.1538E-04 5.1138E-04 9.5678E-05 1.7608E-04 0.4882 0.5583 0.1572 5.4339E-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 0.31844 0.55344 0.55120 0.30054 0.56187 0.56310 0.27827 5.000 5.010 5.005 0.08257 0.54492 0.51977 0.07463 0.55796 0.57396 0.06930 10.000 10.010 10.005 0.06446 0.33575 0.25440 0.06639 0.40840 0.55274 0.07148 15.000 15.010 15.005 0.18768 0.12387 0.15099 0.18955 0.14480 0.06028 0.19172 20.000 20.010 20.005 0.21681 0.19544 0.20408 0.22096 0.19407 0.15419 0.22728 25.000 25.010 25.005 0.08466 0.32198 0.23095 0.08278 0.30079 0.56086 0.08175 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 7.34216E-02 7.34673E-04 6.03827E-03 6.77294E-03 6.73541E-04 0.082241 9 1 10.0 0.0 180.0 4.53041E-02 7.48526E-04 1.70551E-03 2.45404E-03 6.86241E-04 0.037646 9 4 10.0 45.0 135.0 4.97770E-02 7.43812E-04 1.98793E-03 2.73174E-03 6.81919E-04 0.039937 9 7 10.0 90.0 90.0 6.72529E-02 7.38388E-04 4.29889E-03 5.03728E-03 6.76947E-04 0.063921 8 1 20.0 0.0 180.0 3.55858E-02 7.53824E-04 8.72882E-04 1.62671E-03 6.91098E-04 0.024529 8 4 20.0 45.0 135.0 3.96165E-02 7.43700E-04 1.03399E-03 1.77769E-03 6.81816E-04 0.026100 8 7 20.0 90.0 90.0 5.82542E-02 7.36427E-04 2.45049E-03 3.18692E-03 6.75149E-04 0.042065 7 1 30.0 0.0 180.0 3.08548E-02 7.61291E-04 7.42743E-04 1.50403E-03 6.97943E-04 0.024072 7 4 30.0 45.0 135.0 3.42112E-02 7.56491E-04 8.34833E-04 1.59132E-03 6.93544E-04 0.024402 7 7 30.0 90.0 90.0 4.98654E-02 7.43035E-04 1.46838E-03 2.21141E-03 6.81207E-04 0.029447 6 1 40.0 0.0 180.0 2.92870E-02 7.61348E-04 8.25838E-04 1.58719E-03 6.97996E-04 0.028198 6 4 40.0 45.0 135.0 3.20238E-02 7.54224E-04 8.95678E-04 1.64990E-03 6.91465E-04 0.027969 6 7 40.0 90.0 90.0 4.49609E-02 7.39129E-04 1.29955E-03 2.03867E-03 6.77626E-04 0.028904 5 1 50.0 0.0 180.0 3.07065E-02 7.64362E-04 1.30455E-03 2.06891E-03 7.00760E-04 0.042485 5 4 50.0 45.0 135.0 3.27219E-02 7.52162E-04 1.35910E-03 2.11126E-03 6.89574E-04 0.041535 5 7 50.0 90.0 90.0 4.34955E-02 7.36616E-04 1.75706E-03 2.49368E-03 6.75322E-04 0.040396 4 1 60.0 0.0 180.0 3.64491E-02 7.46078E-04 3.03900E-03 3.78508E-03 6.83997E-04 0.083377 4 4 60.0 45.0 135.0 3.72740E-02 7.32266E-04 3.00095E-03 3.73322E-03 6.71334E-04 0.080511 4 7 60.0 90.0 90.0 4.60284E-02 7.24672E-04 3.50444E-03 4.22911E-03 6.64372E-04 0.076136 3 1 70.0 0.0 180.0 5.05733E-02 6.84312E-04 8.39452E-03 9.07883E-03 6.27370E-04 0.165987 3 4 70.0 45.0 135.0 4.91499E-02 6.78114E-04 8.07709E-03 8.75520E-03 6.21688E-04 0.164336 3 7 70.0 90.0 90.0 5.49484E-02 6.70149E-04 8.78345E-03 9.45360E-03 6.14386E-04 0.159849 2 1 80.0 0.0 180.0 8.59249E-02 5.79708E-04 2.08663E-02 2.14460E-02 5.31470E-04 0.242843 2 4 80.0 45.0 135.0 7.95647E-02 5.72354E-04 2.01820E-02 2.07544E-02 5.24728E-04 0.253655 2 7 80.0 90.0 90.0 7.90482E-02 5.65569E-04 2.11361E-02 2.17016E-02 5.18508E-04 0.267382 1 1 87.5 0.0 180.0 1.38925E-01 4.61812E-04 3.68006E-02 3.72624E-02 4.23384E-04 0.264896 1 4 87.5 45.0 135.0 1.25085E-01 4.33877E-04 3.65734E-02 3.70073E-02 3.97774E-04 0.292389 1 7 87.5 90.0 90.0 1.13799E-01 4.74179E-04 3.74304E-02 3.79046E-02 4.34722E-04 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 685.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 6.773E-03 7.342E-02 8.809E-02 7.585E-02 1.139E-01 6.209E-03 5.553E+00 7.347E-04 6.735E-04 1 0.00 0.00 1.364E-03 1.366E-01 2.420E-03 2.776E-03 3.846E-03 1.289E-03 3.635E+00 3 3.40 5.00 6.152E-04 2.170E-02 7.097E-04 7.492E-04 8.625E-04 9.759E-03 3.277E+00 5 7.12 10.00 4.479E-04 2.630E-03 5.068E-04 5.097E-04 5.175E-04 9.024E-02 3.283E+00 7 11.37 15.00 2.591E-04 5.565E-04 3.454E-04 3.456E-04 3.460E-04 1.893E-01 3.454E+00 9 15.72 20.00 9.365E-05 2.062E-04 1.326E-04 1.326E-04 1.326E-04 1.697E-01 3.520E+00 11 19.43 25.00 2.913E-05 6.990E-05 3.424E-05 3.424E-05 3.424E-05 1.654E-01 3.284E+00 Waveband 29 of 30 completed in 6.3 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 53.5 m at 695.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 690.0 nm to 700.0 nm: Ed(diffuse) = 2.610E-01 Ed(direct) = 7.914E-01 Ed(total) = 1.052E+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 0.0099 0.0002 0.5692 3 3.719 5.000 0.5590 0.0124 0.0003 0.5716 5 7.742 10.000 0.5590 0.0176 0.0004 0.5769 7 12.265 15.000 0.5590 0.0253 0.0005 0.5848 9 16.887 20.000 0.5590 0.0203 0.0004 0.5797 11 20.895 25.000 0.5590 0.0086 0.0002 0.5678 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 0.1545 0.0000 0.1552 3 3.719 5.000 0.0007 0.1903 0.0000 0.1910 5 7.742 10.000 0.0007 0.2658 0.0000 0.2665 7 12.265 15.000 0.0007 0.3761 0.0000 0.3768 9 16.887 20.000 0.0007 0.3053 0.0000 0.3060 11 20.895 25.000 0.0007 0.1345 0.0000 0.1352 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 0.00309 0.00000 0.00344 3 3.719 5.000 0.00035 0.00381 0.00000 0.00415 5 7.742 10.000 0.00035 0.00532 0.00000 0.00566 7 12.265 15.000 0.00035 0.00752 0.00000 0.00787 9 16.887 20.000 0.00035 0.00611 0.00000 0.00645 11 20.895 25.000 0.00035 0.00269 0.00000 0.00304 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 0.5692 0.1552 0.7243 0.2142 0.00344 0.02215 3 3.719 5.000 0.5716 0.1910 0.7626 0.2505 0.00415 0.02175 5 7.742 10.000 0.5769 0.2665 0.8435 0.3160 0.00566 0.02125 7 12.265 15.000 0.5848 0.3768 0.9616 0.3918 0.00787 0.02089 9 16.887 20.000 0.5797 0.3060 0.8857 0.3454 0.00645 0.02109 11 20.895 25.000 0.5678 0.1352 0.7030 0.1923 0.00304 0.02247 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 6.2039E-01 8 20.00 2.1125E-01 7 30.00 5.7190E-02 6 40.00 1.6278E-02 5 50.00 5.5349E-03 4 60.00 2.2769E-03 3 70.00 1.0979E-03 2 80.00 6.0176E-04 1 87.50 4.1011E-04 1 92.50 3.2749E-04 2 100.00 2.4697E-04 3 110.00 1.8339E-04 4 120.00 1.4863E-04 5 130.00 1.2983E-04 6 140.00 1.2001E-04 7 150.00 1.1519E-04 8 160.00 1.1307E-04 9 170.00 1.1225E-04 10 180.00 1.1198E-04 Asymptotic AOP values are MUu(inf) = 0.4009 MUd(inf) = 0.9319 MU(inf) = 0.9266 R(inf) = 0.0018 Lu(inf)/Ed(inf) = 0.000441 (1/sr) k(inf) = 0.6129 (1/m) absorp(check) = 0.5679 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 695.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 9.6255E-02 1.4421E+00 1.5383E+00 3.5650E-02 1.0524E+00 0.3704 0.7298 0.6610 3.3875E-02 1 0.00 0.00 8.3107E-03 1.1361E+00 1.1444E+00 3.5694E-03 1.0203E+00 0.4295 0.8981 0.8885 3.4983E-03 3 3.72 5.00 2.4479E-03 4.8287E-02 5.0735E-02 1.1866E-03 4.2190E-02 0.4847 0.8737 0.8082 2.8126E-02 5 7.74 10.00 1.7723E-03 3.6929E-03 5.4652E-03 8.7064E-04 2.5444E-03 0.4912 0.6890 0.3063 3.4218E-01 7 12.26 15.00 1.1270E-03 1.4488E-03 2.5758E-03 5.3892E-04 7.6396E-04 0.4782 0.5273 0.0874 7.0542E-01 9 16.89 20.00 4.1838E-04 5.9261E-04 1.0110E-03 1.9834E-04 3.1487E-04 0.4741 0.5313 0.1153 6.2991E-01 11 20.90 25.00 1.1536E-04 1.7662E-04 2.9198E-04 5.6502E-05 9.7696E-05 0.4898 0.5532 0.1411 5.7834E-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 0.40271 0.62879 0.62715 0.38299 0.63623 0.63712 0.35765 5.000 5.010 5.005 0.08882 0.61636 0.59084 0.07935 0.62910 0.64505 0.07250 10.000 10.010 10.005 0.06097 0.33916 0.24886 0.06292 0.42392 0.61221 0.06777 15.000 15.010 15.005 0.18839 0.11029 0.14446 0.19002 0.12457 -0.03200 0.19184 20.000 20.010 20.005 0.21751 0.19668 0.20530 0.22118 0.19483 0.15001 0.22721 25.000 25.010 25.005 0.08475 0.33364 0.23523 0.08313 0.31377 0.63098 0.08227 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 7.04325E-02 5.19436E-04 5.82326E-03 6.34270E-03 4.93570E-04 0.082679 9 1 10.0 0.0 180.0 4.34597E-02 5.30396E-04 1.64022E-03 2.17061E-03 5.03984E-04 0.037741 9 4 10.0 45.0 135.0 4.77505E-02 5.26695E-04 1.91232E-03 2.43901E-03 5.00467E-04 0.040048 9 7 10.0 90.0 90.0 6.45149E-02 5.22049E-04 4.14295E-03 4.66500E-03 4.96052E-04 0.064217 8 1 20.0 0.0 180.0 3.41370E-02 5.34931E-04 8.37555E-04 1.37249E-03 5.08293E-04 0.024535 8 4 20.0 45.0 135.0 3.80037E-02 5.27132E-04 9.92440E-04 1.51957E-03 5.00882E-04 0.026114 8 7 20.0 90.0 90.0 5.58826E-02 5.20695E-04 2.35798E-03 2.87868E-03 4.94766E-04 0.042195 7 1 30.0 0.0 180.0 2.95986E-02 5.40966E-04 7.12504E-04 1.25347E-03 5.14027E-04 0.024072 7 4 30.0 45.0 135.0 3.28186E-02 5.36699E-04 8.00871E-04 1.33757E-03 5.09973E-04 0.024403 7 7 30.0 90.0 90.0 4.78343E-02 5.25464E-04 1.41002E-03 1.93549E-03 4.99297E-04 0.029477 6 1 40.0 0.0 180.0 2.80947E-02 5.41863E-04 7.92216E-04 1.33408E-03 5.14879E-04 0.028198 6 4 40.0 45.0 135.0 3.07201E-02 5.35709E-04 8.59214E-04 1.39492E-03 5.09032E-04 0.027969 6 7 40.0 90.0 90.0 4.31305E-02 5.23022E-04 1.24673E-03 1.76975E-03 4.96977E-04 0.028906 5 1 50.0 0.0 180.0 2.94564E-02 5.44693E-04 1.25144E-03 1.79613E-03 5.17569E-04 0.042485 5 4 50.0 45.0 135.0 3.13897E-02 5.34822E-04 1.30377E-03 1.83859E-03 5.08189E-04 0.041535 5 7 50.0 90.0 90.0 4.17247E-02 5.21863E-04 1.68553E-03 2.20739E-03 4.95876E-04 0.040396 4 1 60.0 0.0 180.0 3.49652E-02 5.32345E-04 2.91528E-03 3.44762E-03 5.05836E-04 0.083377 4 4 60.0 45.0 135.0 3.57565E-02 5.21291E-04 2.87878E-03 3.40007E-03 4.95332E-04 0.080511 4 7 60.0 90.0 90.0 4.41545E-02 5.14193E-04 3.36176E-03 3.87596E-03 4.88587E-04 0.076136 3 1 70.0 0.0 180.0 4.85144E-02 4.89003E-04 8.05277E-03 8.54177E-03 4.64652E-04 0.165987 3 4 70.0 45.0 135.0 4.71489E-02 4.83512E-04 7.74825E-03 8.23177E-03 4.59434E-04 0.164336 3 7 70.0 90.0 90.0 5.27114E-02 4.76725E-04 8.42586E-03 8.90259E-03 4.52985E-04 0.159849 2 1 80.0 0.0 180.0 8.24267E-02 4.14889E-04 2.00168E-02 2.04317E-02 3.94228E-04 0.242843 2 4 80.0 45.0 135.0 7.63255E-02 4.08810E-04 1.93604E-02 1.97692E-02 3.88452E-04 0.253655 2 7 80.0 90.0 90.0 7.58300E-02 4.03443E-04 2.02756E-02 2.06790E-02 3.83352E-04 0.267382 1 1 87.5 0.0 180.0 1.33269E-01 3.31094E-04 3.53024E-02 3.56335E-02 3.14606E-04 0.264896 1 4 87.5 45.0 135.0 1.19992E-01 3.10528E-04 3.50844E-02 3.53949E-02 2.95065E-04 0.292389 1 7 87.5 90.0 90.0 1.09166E-01 3.39416E-04 3.59066E-02 3.62460E-02 3.22514E-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 6.343E-03 7.043E-02 8.445E-02 7.271E-02 1.092E-01 6.027E-03 5.621E+00 5.194E-04 4.936E-04 1 0.00 0.00 9.643E-04 1.310E-01 1.817E-03 2.119E-03 3.039E-03 9.451E-04 3.702E+00 3 3.72 5.00 3.639E-04 1.476E-02 4.149E-04 4.379E-04 5.036E-04 8.625E-03 3.261E+00 5 7.74 10.00 2.672E-04 1.342E-03 2.962E-04 2.974E-04 3.006E-04 1.050E-01 3.259E+00 7 12.26 15.00 1.573E-04 2.908E-04 2.046E-04 2.046E-04 2.048E-04 2.060E-01 3.425E+00 9 16.89 20.00 5.694E-05 1.147E-04 7.809E-05 7.809E-05 7.809E-05 1.808E-01 3.483E+00 11 20.90 25.00 1.732E-05 3.803E-05 1.991E-05 1.991E-05 1.991E-05 1.773E-01 3.263E+00 Waveband 30 of 30 completed in 6.4 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 1.805E+01 1.896E+01 1.801E+01 1.837E+01 2.154E+01 2.291E+01 2.269E+01 2.294E+01 2.211E+01 2.234E+01 2.180E+01 2.084E+01 2.123E+01 2.138E+01 2.100E+01 2.078E+01 2.053E+01 2.045E+01 1.985E+01 1.902E+01 1.946E+01 1.897E+01 1.874E+01 1.849E+01 1.789E+01 1.708E+01 1.777E+01 1.743E+01 1.597E+01 1.538E+01 0.0 1.458E+01 1.527E+01 1.448E+01 1.471E+01 1.727E+01 1.843E+01 1.834E+01 1.867E+01 1.804E+01 1.821E+01 1.759E+01 1.650E+01 1.686E+01 1.697E+01 1.661E+01 1.631E+01 1.608E+01 1.584E+01 1.509E+01 1.426E+01 1.444E+01 1.409E+01 1.391E+01 1.373E+01 1.328E+01 1.267E+01 1.318E+01 1.297E+01 1.191E+01 1.144E+01 5.0 1.062E+01 1.106E+01 1.047E+01 1.054E+01 1.243E+01 1.339E+01 1.347E+01 1.394E+01 1.360E+01 1.371E+01 1.292E+01 1.140E+01 1.179E+01 1.184E+01 1.140E+01 1.085E+01 1.056E+01 9.677E+00 7.597E+00 5.197E+00 3.119E+00 2.884E+00 2.593E+00 2.295E+00 1.950E+00 1.420E+00 1.045E+00 9.603E-01 7.680E-01 5.073E-01 10.0 6.426E+00 6.625E+00 6.271E+00 6.240E+00 7.465E+00 8.204E+00 8.391E+00 8.946E+00 8.891E+00 9.049E+00 8.397E+00 7.013E+00 7.425E+00 7.511E+00 7.171E+00 6.655E+00 6.447E+00 5.496E+00 3.543E+00 1.758E+00 6.267E-01 5.507E-01 4.504E-01 3.573E-01 2.679E-01 1.510E-01 8.889E-02 1.036E-01 1.003E-01 5.465E-02 15.0 2.991E+00 3.034E+00 2.871E+00 2.815E+00 3.452E+00 3.924E+00 4.117E+00 4.592E+00 4.716E+00 4.909E+00 4.551E+00 3.646E+00 4.013E+00 4.138E+00 3.966E+00 3.634E+00 3.537E+00 2.818E+00 1.494E+00 5.430E-01 1.161E-01 9.730E-02 7.236E-02 5.153E-02 3.457E-02 1.645E-02 1.470E-02 3.360E-02 4.422E-02 2.576E-02 20.0 1.293E+00 1.289E+00 1.218E+00 1.174E+00 1.475E+00 1.734E+00 1.868E+00 2.181E+00 2.314E+00 2.460E+00 2.270E+00 1.736E+00 1.987E+00 2.087E+00 2.007E+00 1.814E+00 1.774E+00 1.322E+00 5.780E-01 1.550E-01 2.070E-02 1.659E-02 1.135E-02 7.448E-03 4.692E-03 2.460E-03 4.479E-03 1.261E-02 1.730E-02 1.011E-02 25.0 7.292E-01 7.208E-01 6.796E-01 6.472E-01 8.200E-01 9.778E-01 1.070E+00 1.280E+00 1.376E+00 1.465E+00 1.314E+00 9.392E-01 1.094E+00 1.152E+00 1.092E+00 9.586E-01 9.299E-01 6.454E-01 2.336E-01 4.650E-02 4.312E-03 3.310E-03 2.156E-03 1.415E-03 9.391E-04 6.574E-04 1.406E-03 3.824E-03 5.114E-03 2.920E-03 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 6.110E+01 6.577E+01 6.399E+01 6.679E+01 8.010E+01 8.711E+01 8.819E+01 9.106E+01 8.963E+01 9.243E+01 9.203E+01 8.969E+01 9.314E+01 9.559E+01 9.568E+01 9.638E+01 9.694E+01 9.827E+01 9.704E+01 9.460E+01 9.838E+01 9.750E+01 9.789E+01 9.812E+01 9.646E+01 9.350E+01 9.874E+01 9.835E+01 9.144E+01 8.936E+01 0.0 4.935E+01 5.296E+01 5.145E+01 5.350E+01 6.424E+01 7.008E+01 7.130E+01 7.411E+01 7.314E+01 7.533E+01 7.425E+01 7.104E+01 7.399E+01 7.588E+01 7.564E+01 7.567E+01 7.593E+01 7.611E+01 7.379E+01 7.091E+01 7.304E+01 7.240E+01 7.268E+01 7.285E+01 7.160E+01 6.935E+01 7.324E+01 7.317E+01 6.819E+01 6.647E+01 5.0 3.596E+01 3.835E+01 3.719E+01 3.830E+01 4.623E+01 5.092E+01 5.234E+01 5.536E+01 5.512E+01 5.674E+01 5.455E+01 4.906E+01 5.172E+01 5.296E+01 5.194E+01 5.032E+01 4.989E+01 4.651E+01 3.715E+01 2.584E+01 1.577E+01 1.483E+01 1.355E+01 1.218E+01 1.051E+01 7.775E+00 5.810E+00 5.418E+00 4.397E+00 2.947E+00 10.0 2.175E+01 2.298E+01 2.228E+01 2.269E+01 2.776E+01 3.120E+01 3.261E+01 3.552E+01 3.604E+01 3.744E+01 3.544E+01 3.019E+01 3.258E+01 3.358E+01 3.266E+01 3.087E+01 3.044E+01 2.641E+01 1.732E+01 8.743E+00 3.169E+00 2.831E+00 2.353E+00 1.896E+00 1.444E+00 8.265E-01 4.940E-01 5.843E-01 5.743E-01 3.175E-01 15.0 1.013E+01 1.052E+01 1.020E+01 1.023E+01 1.284E+01 1.492E+01 1.600E+01 1.823E+01 1.912E+01 2.031E+01 1.921E+01 1.569E+01 1.761E+01 1.850E+01 1.806E+01 1.686E+01 1.670E+01 1.354E+01 7.306E+00 2.700E+00 5.872E-01 5.001E-01 3.780E-01 2.735E-01 1.864E-01 9.005E-02 8.173E-02 1.896E-01 2.531E-01 1.496E-01 20.0 4.377E+00 4.470E+00 4.325E+00 4.268E+00 5.488E+00 6.596E+00 7.259E+00 8.659E+00 9.379E+00 1.018E+01 9.581E+00 7.474E+00 8.720E+00 9.334E+00 9.140E+00 8.415E+00 8.378E+00 6.352E+00 2.826E+00 7.708E-01 1.047E-01 8.526E-02 5.927E-02 3.953E-02 2.530E-02 1.347E-02 2.490E-02 7.112E-02 9.902E-02 5.873E-02 25.0 2.468E+00 2.500E+00 2.414E+00 2.353E+00 3.050E+00 3.718E+00 4.158E+00 5.083E+00 5.579E+00 6.061E+00 5.547E+00 4.043E+00 4.802E+00 5.150E+00 4.975E+00 4.447E+00 4.391E+00 3.102E+00 1.142E+00 2.312E-01 2.180E-02 1.702E-02 1.126E-02 7.511E-03 5.063E-03 3.599E-03 7.817E-03 2.157E-02 2.928E-02 1.696E-02 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 2.6953E+03 1.7739E+03 0.00 2.0917E+03 1.7388E+03 5.00 1.0296E+03 7.7650E+02 10.00 5.8300E+02 4.1156E+02 15.00 2.9138E+02 1.9645E+02 20.00 1.3657E+02 9.0743E+01 25.00 7.5357E+01 5.0531E+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 0.18911 5.000 5.010 5.005 0.11314 10.000 10.010 10.005 0.12000 15.000 15.010 15.005 0.15869 20.000 20.010 20.005 0.14270 25.000 25.010 25.005 0.08846 CIE 1931 chromaticity coordinates (x,y) and (il)luminance Y for selected quantities. Output is (x,y,Y). Y is illuminance in lm/m^2 for Ed and Eu. Y is luminance in lm/(m^2 sr) for Lu and Lw. Y is not defined for Rrs depth Ed Eu Lu Lw Rrs in air (0.328, 0.339, 9.864E+04) (0.290, 0.316, 4.344E+03) (0.277, 0.311, 8.730E+02) (0.209, 0.274, 3.220E+02) (0.211, 0.267, 0.000E+00) 0.00 (0.326, 0.338, 9.669E+04) (0.207, 0.271, 2.393E+03) (0.209, 0.274, 5.973E+02) 5.00 (0.253, 0.330, 5.150E+04) (0.195, 0.280, 1.745E+03) (0.197, 0.283, 4.079E+02) 10.00 (0.223, 0.328, 2.796E+04) (0.194, 0.299, 1.173E+03) (0.194, 0.299, 2.561E+02) 15.00 (0.213, 0.343, 1.385E+04) (0.194, 0.320, 6.335E+02) (0.192, 0.312, 1.286E+02) 20.00 (0.210, 0.361, 6.649E+03) (0.184, 0.308, 2.680E+02) (0.181, 0.293, 5.329E+01) 25.00 (0.202, 0.359, 3.652E+03) (0.168, 0.264, 1.205E+02) (0.168, 0.259, 2.579E+01) The Forel-Ule number of the nadir-viewing Rrs is FU = 4 The Forel-Ule number of the nadir-viewing, in-air Lu is FU = 4 The Forel-Ule number of the nadir-viewing Lw is FU = 4 The final depth-averaged photopic alpha and K are alpha = 0.4004 1/m and K = 0.1294 1/m The final estimate for the Secchi depth is z_SD = 15.10 m Run completed on 07/18/2013 at 15:07:23.2 Total (wall clock) run time = 131.2 sec