======================================================== | | | HYDROLIGHT Version 5.1.0 (MAIN CODE) | | Copyright (c) 2008 by Curtis D. Mobley | | | | This copy of HE5 is licensed solely to | | Student Version for Maine 2011 Summer Class | | | | S/N Maine_500_31July2011 | | | | THIS PROGRAM IS EXPERIMENTAL AND IS LICENSED "AS IS" | | WITHOUT REPRESENTATION OF WARRANTY OF ANY KIND, | | EITHER EXPRESS OR IMPLIED. THE ENTIRE RISK AS TO | | THE QUALITY AND PERFORMANCE OF HYDROLIGHT IS WITH | | THE USER. HYDROLIGHT IS NOT FAULT TOLERANT. | | | ======================================================== RUN TITLE: run5 (07/19/2011 13:43) Run started on 07/19/2011 at 13:43:51.2 The radiance distribution is computed on the following (Theta,Phi,Depth,Wavelength) grid: I Theta Mu J Phi K zeta z L Lambda (deg) (deg) (m) (nm) 1 87.500 0.0436 1 0.00 1 0.000 1 355.00 2 80.000 0.1730 2 15.00 2 0.010 2 365.00 3 70.000 0.3407 3 30.00 3 5.000 3 375.00 4 60.000 0.4981 4 45.00 4 5.010 4 385.00 5 50.000 0.6403 5 60.00 5 10.000 5 395.00 6 40.000 0.7631 6 75.00 6 10.010 6 405.00 7 30.000 0.8627 7 90.00 7 415.00 8 20.000 0.9361 8 105.00 8 425.00 9 10.000 0.9811 9 120.00 9 435.00 10 0.000 0.9981 10 135.00 10 445.00 11 150.00 11 455.00 12 165.00 12 465.00 13 180.00 13 475.00 14 195.00 14 485.00 15 210.00 15 495.00 16 225.00 16 505.00 17 240.00 17 515.00 18 255.00 18 525.00 19 270.00 19 535.00 20 285.00 20 545.00 21 300.00 21 555.00 22 315.00 22 565.00 23 330.00 23 575.00 24 345.00 24 585.00 25 595.00 26 605.00 27 615.00 28 625.00 29 635.00 30 645.00 31 655.00 32 665.00 33 675.00 34 685.00 35 695.00 36 705.00 37 715.00 38 725.00 39 735.00 40 745.00 ***** BEGIN IOP MODEL SPECIFICATIONS ***** The IOP routine "abcase1" is being used: Absorption and scattering coefficients for case 1 water (Gordon and Morel bio-optical models) are used. component 1 is pure water component 2 is pigmented particles component 3 is CDOM that covaries with chlorophyll Pure water a and b values are obtained from the file: ..\data\H2OabDefaults.txt (Linear interpolation is used to define values at all wavelengths) The data file header records from ..\data\H2OabDefaults.txt are: Default "pure water" absorption (a) and scattering (b) coefficients. Based on: 200-300 nm: R.C. Smith and K. Baker, 1981. Appl. Optics 20(2), 177-184. 191 records read The phase function for component 1 comes from a file titled pure sea water (Rayleigh-like phase function); standard quad partition; 7 Sept 98 Absorption for component 2 calculated from the Prieur-Sathyenranath-Morel model 141 records read The chlorophyll concentration is constant with depth with a value of 2.30 (mg/m^3) Scattering for component 2 calculated using a Power Law model b = 0.3000 X^(0.6200) * (550./wavenm)^(1.0000) The phase function for component 2 will be chosen to have a bb/b ratio of 0.0200 Chlorophyll concentrations at the requested output depths depth Chl (m) (mg/m^3) 0.000 2.300 5.000 2.300 10.000 2.300 ***** END IOP MODEL SPECIFICATIONS ***** ***** BEGIN INELASTIC SCATTER AND INTERNAL SOURCE SPECIFICATIONS ***** Chlorophyll fluorescence is included in this run Chl fluorescent quantum efficiency set to 0.020 CDOM fluorescence is included in this run Raman scattering is included in this run Raman scattering cross-section set to 2.40E-04 m-1 at reference wavelength 488.0 nm ***** END INELASTIC SCATTER AND INTERNAL SOURCE SPECIFICATIONS ***** ***** BEGIN ATMOSPHERIC MODEL SPECIFICATIONS ***** Normalized sky radiances are computed using sky model "HCNRAD" (Harrison and Coombes Normalized RADiances) The cloud fraction is cloud = 0.0 (0 for a clear sky to 1 for a heavy overcast) The sun is placed in quad Q(r,s) = Q( 7, 1) centered at (theta, phi) = (30.000, 0.000) Diffuse and Direct Sky irradiances are computed using the "RADTRANX" (RADTRAN eXtended for 300-1000 nm) model The RADTRAN clear-sky irradiances are adjusted for cloudiness by the model of Kasten and Czeplak Parameter values used in the RADTRANX model: Solar zenith angle = 30.0 degrees Pressure = 29.9 in. mercury Day of year = not set (mean earth-sun distance used) Air mass type = 1.0 Relative Humidity = 80.0 % Precipitable water = 2.5 cm 24-hr wind speed = 5.0 m/sec Current wind speed = 5.0 m/sec Visibility = 15.0 km Total ozone = 300.0 Dobson units Irradiances are computed just above the sea surface Aerosol optical thickness at 550 nm = 0.261 ***** END ATMOSPHERIC MODEL SPECIFICATIONS ***** ***** BEGIN AIR-WATER SURFACE SPECIFICATIONS ***** The air-water surface is for a wind speed of 5.0 m/s Index of refraction is constant for all wavelengths with the value: 1.340 ***** END AIR-WATER SURFACE SPECIFICATIONS ***** ***** BEGIN BOTTOM BOUNDARY SPECIFICATIONS ***** The bottom boundary is an infinitely deep, homogeneous water body below depth 10.00 m The actual depth at which the infinitely deep bottom boundary condition will be applied will be determined dynamically from the IOPs to insure a good solution at the requested output depths ***** END BOTTOM BOUNDARY SPECIFICATIONS ***** Initialization of Hydrolight Completed in 0.2 sec. * * * * * Output for wavelength band 1 (350.0 to 360.0 nm; nominal wavelength = 355.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 355.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 350.0 nm to 360.0 nm: Ed(diffuse) = 2.986E-01 Ed(direct) = 3.214E-01 Ed(total) = 6.200E-01 Absorption Coefficients of Individual Components at 355.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0176 0.0582 0.0678 0.1435 3 4.676 5.000 0.0176 0.0582 0.0678 0.1435 5 9.352 10.000 0.0176 0.0582 0.0678 0.1435 Scattering Coefficients of Individual Components at 355.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0127 0.7790 0.0000 0.7917 3 4.676 5.000 0.0127 0.7790 0.0000 0.7917 5 9.352 10.000 0.0127 0.7790 0.0000 0.7917 Backscattering Coefficients of Individual Components at 355.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00634 0.01558 0.00000 0.02192 3 4.676 5.000 0.00634 0.01558 0.00000 0.02192 5 9.352 10.000 0.00634 0.01558 0.00000 0.02192 Summary of Inherent Optical Properties at 355.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1435 0.7917 0.9352 0.8465 0.02192 0.02769 3 4.676 5.000 0.1435 0.7917 0.9352 0.8465 0.02192 0.02769 5 9.352 10.000 0.1435 0.7917 0.9352 0.8465 0.02192 0.02769 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4671E-01 8 20.00 8.1837E-01 7 30.00 6.5010E-01 6 40.00 4.8197E-01 5 50.00 3.3984E-01 4 60.00 2.3272E-01 3 70.00 1.5806E-01 2 80.00 1.0883E-01 1 87.50 8.3197E-02 1 92.50 6.9211E-02 2 100.00 5.4892E-02 3 110.00 4.2069E-02 4 120.00 3.3660E-02 5 130.00 2.8202E-02 6 140.00 2.4666E-02 7 150.00 2.2404E-02 8 160.00 2.1015E-02 9 170.00 2.0264E-02 10 180.00 1.9997E-02 Asymptotic AOP values are MUu(inf) = 0.3917 MUd(inf) = 0.6989 MU(inf) = 0.5849 R(inf) = 0.0654 Lu(inf)/Ed(inf) = 0.014045 (1/sr) k(inf) = 0.2454 (1/m) absorp(check) = 0.1435 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 355.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.1777E-01 9.7286E-01 1.0906E+00 4.0257E-02 6.2002E-01 0.3418 0.6373 0.5316 6.4929E-02 1 0.00 0.00 7.9158E-02 7.3813E-01 8.1729E-01 3.4018E-02 6.1377E-01 0.4297 0.8315 0.7094 5.5424E-02 3 4.68 5.00 3.1921E-02 2.7900E-01 3.1092E-01 1.2777E-02 2.0422E-01 0.4003 0.7320 0.6157 6.2566E-02 5 9.35 10.00 1.0175E-02 8.7733E-02 9.7909E-02 4.0138E-03 6.2263E-02 0.3945 0.7097 0.5949 6.4465E-02 K-functions (units of 1/meter) at 355.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.12115 0.15186 0.14889 0.14737 0.19936 0.20241 0.18902 5.000 5.010 5.005 0.21696 0.22177 0.22128 0.22214 0.23246 0.23314 0.23017 10.000 10.010 10.005 0.23639 0.23780 0.23765 0.23790 0.24107 0.24128 0.24035 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 355.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 8.05686E-02 4.48706E-03 3.68807E-03 8.17513E-03 7.23692E-03 0.045776 9 1 10.0 0.0 180.0 4.97141E-02 4.57687E-03 1.47713E-03 6.05400E-03 7.38176E-03 0.029712 9 4 10.0 45.0 135.0 5.46224E-02 4.55241E-03 1.67395E-03 6.22636E-03 7.34233E-03 0.030646 9 7 10.0 90.0 90.0 7.37994E-02 4.53097E-03 2.89959E-03 7.43056E-03 7.30775E-03 0.039290 8 1 20.0 0.0 180.0 3.90498E-02 4.64026E-03 9.37902E-04 5.57816E-03 7.48401E-03 0.024018 8 4 20.0 45.0 135.0 4.34729E-02 4.58548E-03 1.08299E-03 5.66848E-03 7.39567E-03 0.024912 8 7 20.0 90.0 90.0 6.39248E-02 4.56159E-03 1.99770E-03 6.55929E-03 7.35714E-03 0.031251 7 1 30.0 0.0 180.0 3.38583E-02 4.73053E-03 8.15058E-04 5.54559E-03 7.62960E-03 0.024073 7 4 30.0 45.0 135.0 3.75263E-02 4.71196E-03 9.13617E-04 5.62558E-03 7.59966E-03 0.024346 7 7 30.0 90.0 90.0 5.48121E-02 4.65974E-03 1.47534E-03 6.13508E-03 7.51542E-03 0.026916 6 1 40.0 0.0 180.0 3.21379E-02 4.81168E-03 9.06244E-04 5.71792E-03 7.76048E-03 0.028199 6 4 40.0 45.0 135.0 3.51411E-02 4.78351E-03 9.82865E-04 5.76637E-03 7.71504E-03 0.027969 6 7 40.0 90.0 90.0 4.93375E-02 4.73513E-03 1.41719E-03 6.15232E-03 7.63702E-03 0.028724 5 1 50.0 0.0 180.0 3.36955E-02 4.91467E-03 1.43154E-03 6.34622E-03 7.92660E-03 0.042485 5 4 50.0 45.0 135.0 3.59071E-02 4.85825E-03 1.49141E-03 6.34965E-03 7.83559E-03 0.041535 5 7 50.0 90.0 90.0 4.77295E-02 4.81954E-03 1.92809E-03 6.74762E-03 7.77316E-03 0.040396 4 1 60.0 0.0 180.0 3.99971E-02 4.88375E-03 3.33482E-03 8.21857E-03 7.87673E-03 0.083377 4 4 60.0 45.0 135.0 4.09023E-02 4.81974E-03 3.29308E-03 8.11281E-03 7.77348E-03 0.080511 4 7 60.0 90.0 90.0 5.05090E-02 4.84412E-03 3.84556E-03 8.68968E-03 7.81280E-03 0.076136 3 1 70.0 0.0 180.0 5.54963E-02 4.56872E-03 9.21166E-03 1.37804E-02 7.36863E-03 0.165987 3 4 70.0 45.0 135.0 5.39342E-02 4.55628E-03 8.86333E-03 1.34196E-02 7.34857E-03 0.164336 3 7 70.0 90.0 90.0 6.02972E-02 4.58462E-03 9.63845E-03 1.42231E-02 7.39427E-03 0.159849 2 1 80.0 0.0 180.0 9.42890E-02 3.94004E-03 2.28974E-02 2.68375E-02 6.35466E-03 0.242843 2 4 80.0 45.0 135.0 8.73097E-02 3.91868E-03 2.21466E-02 2.60653E-02 6.32021E-03 0.253655 2 7 80.0 90.0 90.0 8.67430E-02 3.94756E-03 2.31935E-02 2.71411E-02 6.36679E-03 0.267382 1 1 87.5 0.0 180.0 1.52448E-01 3.19076E-03 4.03828E-02 4.35736E-02 5.14619E-03 0.264896 1 4 87.5 45.0 135.0 1.37261E-01 3.02031E-03 4.01335E-02 4.31538E-02 4.87129E-03 0.292389 1 7 87.5 90.0 90.0 1.24877E-01 3.36877E-03 4.10740E-02 4.44428E-02 5.43329E-03 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 355.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 8.175E-03 8.057E-02 9.801E-02 8.466E-02 1.265E-01 1.319E-02 4.924E+00 4.487E-03 7.237E-03 1 0.00 0.00 8.323E-03 1.500E-01 1.636E-02 1.841E-02 2.371E-02 1.356E-02 4.087E+00 3 4.68 5.00 2.839E-03 1.229E-01 7.536E-03 9.157E-03 1.283E-02 1.390E-02 4.500E+00 5 9.35 10.00 8.715E-04 4.337E-02 2.663E-03 3.110E-03 3.933E-03 1.400E-02 4.606E+00 Waveband 1 of 40 completed in 5.3 sec. * * * * * Output for wavelength band 2 (360.0 to 370.0 nm; nominal wavelength = 365.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 365.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 360.0 nm to 370.0 nm: Ed(diffuse) = 3.273E-01 Ed(direct) = 3.929E-01 Ed(total) = 7.202E-01 Absorption Coefficients of Individual Components at 365.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0132 0.0598 0.0589 0.1319 3 4.504 5.000 0.0132 0.0598 0.0589 0.1319 5 9.008 10.000 0.0132 0.0598 0.0589 0.1319 Scattering Coefficients of Individual Components at 365.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0113 0.7576 0.0000 0.7689 3 4.504 5.000 0.0113 0.7576 0.0000 0.7689 5 9.008 10.000 0.0113 0.7576 0.0000 0.7689 Backscattering Coefficients of Individual Components at 365.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00563 0.01515 0.00000 0.02078 3 4.504 5.000 0.00563 0.01515 0.00000 0.02078 5 9.008 10.000 0.00563 0.01515 0.00000 0.02078 Summary of Inherent Optical Properties at 365.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1319 0.7689 0.9008 0.8536 0.02078 0.02702 3 4.504 5.000 0.1319 0.7689 0.9008 0.8536 0.02078 0.02702 5 9.008 10.000 0.1319 0.7689 0.9008 0.8536 0.02078 0.02702 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4844E-01 8 20.00 8.2379E-01 7 30.00 6.5915E-01 6 40.00 4.9303E-01 5 50.00 3.5095E-01 4 60.00 2.4253E-01 3 70.00 1.6604E-01 2 80.00 1.1505E-01 1 87.50 8.8251E-02 1 92.50 7.3526E-02 2 100.00 5.8395E-02 3 110.00 4.4776E-02 4 120.00 3.5794E-02 5 130.00 2.9937E-02 6 140.00 2.6127E-02 7 150.00 2.3682E-02 8 160.00 2.2177E-02 9 170.00 2.1360E-02 10 180.00 2.1071E-02 Asymptotic AOP values are MUu(inf) = 0.3912 MUd(inf) = 0.6947 MU(inf) = 0.5775 R(inf) = 0.0681 Lu(inf)/Ed(inf) = 0.014522 (1/sr) k(inf) = 0.2284 (1/m) absorp(check) = 0.1319 = k(inf)*MU(inf) The CDOM absorption at each wavelength is constant with depth with a value of 0.00 (1/m) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 365.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.3334E-01 1.1135E+00 1.2468E+00 4.6640E-02 7.2024E-01 0.3498 0.6468 0.5403 6.4755E-02 1 0.00 0.00 9.5160E-02 8.5882E-01 9.5398E-01 4.0941E-02 7.1453E-01 0.4302 0.8320 0.7061 5.7298E-02 3 4.50 5.00 4.1883E-02 3.5408E-01 3.9596E-01 1.6782E-02 2.5896E-01 0.4007 0.7314 0.6116 6.4806E-02 5 9.01 10.00 1.4631E-02 1.2187E-01 1.3650E-01 5.7703E-03 8.6190E-02 0.3944 0.7072 0.5891 6.6949E-02 K-functions (units of 1/meter) at 365.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.10916 0.13886 0.13590 0.13348 0.18377 0.18682 0.17346 5.000 5.010 5.005 0.19839 0.20352 0.20297 0.20389 0.21488 0.21564 0.21239 10.000 10.010 10.005 0.21839 0.21996 0.21979 0.22007 0.22361 0.22386 0.22278 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 365.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 8.83253E-02 5.38890E-03 4.24954E-03 9.63844E-03 7.48204E-03 0.048112 9 1 10.0 0.0 180.0 5.45003E-02 5.49257E-03 1.64705E-03 7.13962E-03 7.62598E-03 0.030221 9 4 10.0 45.0 135.0 5.98811E-02 5.46468E-03 1.87076E-03 7.33544E-03 7.58726E-03 0.031241 9 7 10.0 90.0 90.0 8.09044E-02 5.44260E-03 3.30645E-03 8.74905E-03 7.55660E-03 0.040869 8 1 20.0 0.0 180.0 4.28092E-02 5.56726E-03 1.02960E-03 6.59685E-03 7.72967E-03 0.024051 8 4 20.0 45.0 135.0 4.76582E-02 5.50393E-03 1.19088E-03 6.69481E-03 7.64175E-03 0.024988 8 7 20.0 90.0 90.0 7.00791E-02 5.48133E-03 2.23859E-03 7.71992E-03 7.61037E-03 0.031944 7 1 30.0 0.0 180.0 3.71179E-02 5.67485E-03 8.93525E-04 6.56837E-03 7.87905E-03 0.024073 7 4 30.0 45.0 135.0 4.11402E-02 5.65592E-03 1.00175E-03 6.65767E-03 7.85277E-03 0.024350 7 7 30.0 90.0 90.0 6.00826E-02 5.60176E-03 1.62693E-03 7.22869E-03 7.77757E-03 0.027078 6 1 40.0 0.0 180.0 3.52319E-02 5.77227E-03 9.93490E-04 6.76576E-03 8.01432E-03 0.028199 6 4 40.0 45.0 135.0 3.85242E-02 5.74291E-03 1.07749E-03 6.82040E-03 7.97356E-03 0.027969 6 7 40.0 90.0 90.0 5.40874E-02 5.69637E-03 1.55425E-03 7.25062E-03 7.90894E-03 0.028736 5 1 50.0 0.0 180.0 3.69395E-02 5.89616E-03 1.56936E-03 7.46552E-03 8.18632E-03 0.042485 5 4 50.0 45.0 135.0 3.93640E-02 5.83374E-03 1.63499E-03 7.46873E-03 8.09966E-03 0.041535 5 7 50.0 90.0 90.0 5.23245E-02 5.80118E-03 2.11371E-03 7.91489E-03 8.05446E-03 0.040396 4 1 60.0 0.0 180.0 4.38478E-02 5.85930E-03 3.65587E-03 9.51517E-03 8.13515E-03 0.083377 4 4 60.0 45.0 135.0 4.48401E-02 5.78845E-03 3.61011E-03 9.39856E-03 8.03678E-03 0.080511 4 7 60.0 90.0 90.0 5.53716E-02 5.83367E-03 4.21579E-03 1.00495E-02 8.09957E-03 0.076136 3 1 70.0 0.0 180.0 6.08391E-02 5.48111E-03 1.00985E-02 1.55796E-02 7.61006E-03 0.165987 3 4 70.0 45.0 135.0 5.91267E-02 5.47238E-03 9.71663E-03 1.51890E-02 7.59794E-03 0.164336 3 7 70.0 90.0 90.0 6.61022E-02 5.52310E-03 1.05664E-02 1.60895E-02 7.66837E-03 0.159849 2 1 80.0 0.0 180.0 1.03367E-01 4.72634E-03 2.51019E-02 2.98282E-02 6.56213E-03 0.242843 2 4 80.0 45.0 135.0 9.57154E-02 4.70644E-03 2.42787E-02 2.89852E-02 6.53451E-03 0.253655 2 7 80.0 90.0 90.0 9.50940E-02 4.75658E-03 2.54264E-02 3.01830E-02 6.60412E-03 0.267382 1 1 87.5 0.0 180.0 1.67125E-01 3.82660E-03 4.42706E-02 4.80972E-02 5.31292E-03 0.264896 1 4 87.5 45.0 135.0 1.50475E-01 3.62685E-03 4.39973E-02 4.76242E-02 5.03558E-03 0.292389 1 7 87.5 90.0 90.0 1.36899E-01 4.05912E-03 4.50284E-02 4.90875E-02 5.63575E-03 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 365.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 9.638E-03 8.833E-02 1.076E-01 9.299E-02 1.389E-01 1.338E-02 4.839E+00 5.389E-03 7.482E-03 1 0.00 0.00 9.996E-03 1.645E-01 1.950E-02 2.204E-02 2.853E-02 1.399E-02 4.096E+00 3 4.50 5.00 3.718E-03 1.527E-01 9.740E-03 1.191E-02 1.685E-02 1.436E-02 4.514E+00 5 9.01 10.00 1.247E-03 5.916E-02 3.779E-03 4.447E-03 5.689E-03 1.446E-02 4.628E+00 Waveband 2 of 40 completed in 4.8 sec. * * * * * Output for wavelength band 3 (370.0 to 380.0 nm; nominal wavelength = 375.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 375.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 370.0 nm to 380.0 nm: Ed(diffuse) = 3.130E-01 Ed(direct) = 4.113E-01 Ed(total) = 7.243E-01 Absorption Coefficients of Individual Components at 375.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0115 0.0619 0.0512 0.1246 3 4.360 5.000 0.0115 0.0619 0.0512 0.1246 5 8.720 10.000 0.0115 0.0619 0.0512 0.1246 Scattering Coefficients of Individual Components at 375.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0100 0.7374 0.0000 0.7475 3 4.360 5.000 0.0100 0.7374 0.0000 0.7475 5 8.720 10.000 0.0100 0.7374 0.0000 0.7475 Backscattering Coefficients of Individual Components at 375.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00501 0.01475 0.00000 0.01975 3 4.360 5.000 0.00501 0.01475 0.00000 0.01975 5 8.720 10.000 0.00501 0.01475 0.00000 0.01975 Summary of Inherent Optical Properties at 375.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1246 0.7475 0.8720 0.8571 0.01975 0.02643 3 4.360 5.000 0.1246 0.7475 0.8720 0.8571 0.01975 0.02643 5 8.720 10.000 0.1246 0.7475 0.8720 0.8571 0.01975 0.02643 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4931E-01 8 20.00 8.2651E-01 7 30.00 6.6372E-01 6 40.00 4.9862E-01 5 50.00 3.5656E-01 4 60.00 2.4748E-01 3 70.00 1.7004E-01 2 80.00 1.1813E-01 1 87.50 9.0718E-02 1 92.50 7.5604E-02 2 100.00 6.0046E-02 3 110.00 4.6010E-02 4 120.00 3.6729E-02 5 130.00 3.0663E-02 6 140.00 2.6709E-02 7 150.00 2.4168E-02 8 160.00 2.2602E-02 9 170.00 2.1752E-02 10 180.00 2.1450E-02 Asymptotic AOP values are MUu(inf) = 0.3905 MUd(inf) = 0.6926 MU(inf) = 0.5744 R(inf) = 0.0691 Lu(inf)/Ed(inf) = 0.014646 (1/sr) k(inf) = 0.2169 (1/m) absorp(check) = 0.1246 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 375.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.3057E-01 1.1060E+00 1.2366E+00 4.6461E-02 7.2429E-01 0.3558 0.6549 0.5482 6.4146E-02 1 0.00 0.00 9.6677E-02 8.6344E-01 9.6012E-01 4.1600E-02 7.1942E-01 0.4303 0.8332 0.7060 5.7825E-02 3 4.36 5.00 4.5115E-02 3.7700E-01 4.2212E-01 1.8078E-02 2.7605E-01 0.4007 0.7322 0.6111 6.5489E-02 5 8.72 10.00 1.6770E-02 1.3794E-01 1.5471E-01 6.6085E-03 9.7477E-02 0.3941 0.7067 0.5873 6.7795E-02 K-functions (units of 1/meter) at 375.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.10164 0.13033 0.12744 0.12437 0.17348 0.17650 0.16318 5.000 5.010 5.005 0.18580 0.19122 0.19064 0.19154 0.20305 0.20385 0.20040 10.000 10.010 10.005 0.20616 0.20787 0.20769 0.20798 0.21182 0.21210 0.21091 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 375.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 8.44577E-02 5.46244E-03 4.24468E-03 9.70712E-03 7.54177E-03 0.050258 9 1 10.0 0.0 180.0 5.21139E-02 5.56437E-03 1.59925E-03 7.16362E-03 7.68250E-03 0.030688 9 4 10.0 45.0 135.0 5.72591E-02 5.53719E-03 1.82014E-03 7.35733E-03 7.64497E-03 0.031788 9 7 10.0 90.0 90.0 7.73618E-02 5.51758E-03 3.27379E-03 8.79137E-03 7.61789E-03 0.042318 8 1 20.0 0.0 180.0 4.09347E-02 5.63897E-03 9.85746E-04 6.62471E-03 7.78549E-03 0.024081 8 4 20.0 45.0 135.0 4.55714E-02 5.57659E-03 1.14192E-03 6.71852E-03 7.69937E-03 0.025058 8 7 20.0 90.0 90.0 6.70105E-02 5.55830E-03 2.18321E-03 7.74151E-03 7.67412E-03 0.032580 7 1 30.0 0.0 180.0 3.54926E-02 5.74740E-03 8.54399E-04 6.60180E-03 7.93520E-03 0.024073 7 4 30.0 45.0 135.0 3.93397E-02 5.73069E-03 9.58037E-04 6.68873E-03 7.91213E-03 0.024353 7 7 30.0 90.0 90.0 5.74460E-02 5.68233E-03 1.56408E-03 7.24641E-03 7.84536E-03 0.027227 6 1 40.0 0.0 180.0 3.36892E-02 5.84609E-03 9.49987E-04 6.79608E-03 8.07146E-03 0.028199 6 4 40.0 45.0 135.0 3.68373E-02 5.81965E-03 1.03031E-03 6.84996E-03 8.03496E-03 0.027969 6 7 40.0 90.0 90.0 5.17190E-02 5.78145E-03 1.48674E-03 7.26818E-03 7.98221E-03 0.028746 5 1 50.0 0.0 180.0 3.53220E-02 5.97181E-03 1.50064E-03 7.47246E-03 8.24504E-03 0.042485 5 4 50.0 45.0 135.0 3.76404E-02 5.91257E-03 1.56340E-03 7.47597E-03 8.16325E-03 0.041535 5 7 50.0 90.0 90.0 5.00334E-02 5.89059E-03 2.02116E-03 7.91175E-03 8.13290E-03 0.040396 4 1 60.0 0.0 180.0 4.19278E-02 5.93472E-03 3.49579E-03 9.43051E-03 8.19382E-03 0.083377 4 4 60.0 45.0 135.0 4.28767E-02 5.86749E-03 3.45203E-03 9.31952E-03 8.10100E-03 0.080511 4 7 60.0 90.0 90.0 5.29471E-02 5.92619E-03 4.03119E-03 9.95738E-03 8.18204E-03 0.076136 3 1 70.0 0.0 180.0 5.81751E-02 5.55164E-03 9.65632E-03 1.52080E-02 7.66492E-03 0.165987 3 4 70.0 45.0 135.0 5.65377E-02 5.54761E-03 9.29117E-03 1.48388E-02 7.65936E-03 0.164336 3 7 70.0 90.0 90.0 6.32078E-02 5.61282E-03 1.01037E-02 1.57165E-02 7.74940E-03 0.159849 2 1 80.0 0.0 180.0 9.88404E-02 4.78695E-03 2.40027E-02 2.87897E-02 6.60915E-03 0.242843 2 4 80.0 45.0 135.0 9.15242E-02 4.77133E-03 2.32156E-02 2.79869E-02 6.58759E-03 0.253655 2 7 80.0 90.0 90.0 9.09301E-02 4.83518E-03 2.43131E-02 2.91482E-02 6.67573E-03 0.267382 1 1 87.5 0.0 180.0 1.59807E-01 3.87521E-03 4.23321E-02 4.62073E-02 5.35035E-03 0.264896 1 4 87.5 45.0 135.0 1.43886E-01 3.67668E-03 4.20708E-02 4.57475E-02 5.07625E-03 0.292389 1 7 87.5 90.0 90.0 1.30905E-01 4.12682E-03 4.30567E-02 4.71835E-02 5.69773E-03 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 375.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 9.707E-03 8.446E-02 1.030E-01 8.904E-02 1.329E-01 1.340E-02 4.786E+00 5.462E-03 7.542E-03 1 0.00 0.00 1.013E-02 1.573E-01 1.968E-02 2.234E-02 2.908E-02 1.408E-02 4.106E+00 3 4.36 5.00 3.993E-03 1.603E-01 1.037E-02 1.276E-02 1.823E-02 1.447E-02 4.527E+00 5 8.72 10.00 1.421E-03 6.634E-02 4.289E-03 5.084E-03 6.579E-03 1.458E-02 4.649E+00 Waveband 3 of 40 completed in 4.6 sec. * * * * * Output for wavelength band 4 (380.0 to 390.0 nm; nominal wavelength = 385.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 385.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 380.0 nm to 390.0 nm: Ed(diffuse) = 2.649E-01 Ed(direct) = 3.776E-01 Ed(total) = 6.425E-01 Absorption Coefficients of Individual Components at 385.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0094 0.0650 0.0445 0.1189 3 4.231 5.000 0.0094 0.0650 0.0445 0.1189 5 8.461 10.000 0.0094 0.0650 0.0445 0.1189 Scattering Coefficients of Individual Components at 385.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0089 0.7183 0.0000 0.7272 3 4.231 5.000 0.0089 0.7183 0.0000 0.7272 5 8.461 10.000 0.0089 0.7183 0.0000 0.7272 Backscattering Coefficients of Individual Components at 385.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00447 0.01437 0.00000 0.01883 3 4.231 5.000 0.00447 0.01437 0.00000 0.01883 5 8.461 10.000 0.00447 0.01437 0.00000 0.01883 Summary of Inherent Optical Properties at 385.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1189 0.7272 0.8461 0.8595 0.01883 0.02590 3 4.231 5.000 0.1189 0.7272 0.8461 0.8595 0.01883 0.02590 5 8.461 10.000 0.1189 0.7272 0.8461 0.8595 0.01883 0.02590 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4988E-01 8 20.00 8.2831E-01 7 30.00 6.6674E-01 6 40.00 5.0231E-01 5 50.00 3.6027E-01 4 60.00 2.5073E-01 3 70.00 1.7265E-01 2 80.00 1.2011E-01 1 87.50 9.2284E-02 1 92.50 7.6903E-02 2 100.00 6.1056E-02 3 110.00 4.6737E-02 4 120.00 3.7253E-02 5 130.00 3.1046E-02 6 140.00 2.6997E-02 7 150.00 2.4391E-02 8 160.00 2.2784E-02 9 170.00 2.1911E-02 10 180.00 2.1601E-02 Asymptotic AOP values are MUu(inf) = 0.3898 MUd(inf) = 0.6914 MU(inf) = 0.5726 R(inf) = 0.0696 Lu(inf)/Ed(inf) = 0.014659 (1/sr) k(inf) = 0.2077 (1/m) absorp(check) = 0.1189 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 385.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.1286E-01 9.7025E-01 1.0831E+00 4.0762E-02 6.4248E-01 0.3612 0.6622 0.5555 6.3445E-02 1 0.00 0.00 8.6017E-02 7.6535E-01 8.5136E-01 3.7006E-02 6.3872E-01 0.4302 0.8345 0.7068 5.7939E-02 3 4.23 5.00 4.2065E-02 3.4982E-01 3.9188E-01 1.6853E-02 2.5659E-01 0.4006 0.7335 0.6118 6.5680E-02 5 8.46 10.00 1.6447E-02 1.3449E-01 1.5094E-01 6.4748E-03 9.5057E-02 0.3937 0.7068 0.5869 6.8115E-02 K-functions (units of 1/meter) at 385.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.09507 0.12353 0.12066 0.11712 0.16526 0.16823 0.15499 5.000 5.010 5.005 0.17561 0.18130 0.18069 0.18154 0.19348 0.19432 0.19071 10.000 10.010 10.005 0.19621 0.19806 0.19786 0.19814 0.20226 0.20257 0.20129 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 385.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 7.14888E-02 4.84772E-03 3.74265E-03 8.59037E-03 7.54530E-03 0.052353 9 1 10.0 0.0 180.0 4.41115E-02 4.93574E-03 1.37379E-03 6.30952E-03 7.68230E-03 0.031143 9 4 10.0 45.0 135.0 4.84666E-02 4.91245E-03 1.56652E-03 6.47897E-03 7.64605E-03 0.032322 9 7 10.0 90.0 90.0 6.54825E-02 4.89717E-03 2.86374E-03 7.76092E-03 7.62228E-03 0.043733 8 1 20.0 0.0 180.0 3.46490E-02 5.00107E-03 8.35396E-04 5.83647E-03 7.78399E-03 0.024110 8 4 20.0 45.0 135.0 3.85737E-02 4.94710E-03 9.69209E-04 5.91631E-03 7.69999E-03 0.025126 8 7 20.0 90.0 90.0 5.67207E-02 4.93443E-03 1.88321E-03 6.81764E-03 7.68026E-03 0.033201 7 1 30.0 0.0 180.0 3.00425E-02 5.09679E-03 7.23201E-04 5.81999E-03 7.93297E-03 0.024073 7 4 30.0 45.0 135.0 3.32996E-02 5.08385E-03 8.11052E-04 5.89491E-03 7.91284E-03 0.024356 7 7 30.0 90.0 90.0 4.86201E-02 5.04599E-03 1.33084E-03 6.37683E-03 7.85390E-03 0.027372 6 1 40.0 0.0 180.0 2.85161E-02 5.18428E-03 8.04110E-04 5.98839E-03 8.06915E-03 0.028199 6 4 40.0 45.0 135.0 3.11808E-02 5.16336E-03 8.72100E-04 6.03546E-03 8.03658E-03 0.027969 6 7 40.0 90.0 90.0 4.37773E-02 5.13643E-03 1.25889E-03 6.39532E-03 7.99467E-03 0.028757 5 1 50.0 0.0 180.0 2.98981E-02 5.29594E-03 1.27021E-03 6.56616E-03 8.24295E-03 0.042485 5 4 50.0 45.0 135.0 3.18605E-02 5.24647E-03 1.32333E-03 6.56980E-03 8.16594E-03 0.041535 5 7 50.0 90.0 90.0 4.23505E-02 5.23560E-03 1.71080E-03 6.94640E-03 8.14903E-03 0.040396 4 1 60.0 0.0 180.0 3.54895E-02 5.26321E-03 2.95900E-03 8.22221E-03 8.19200E-03 0.083377 4 4 60.0 45.0 135.0 3.62927E-02 5.20710E-03 2.92196E-03 8.12906E-03 8.10467E-03 0.080511 4 7 60.0 90.0 90.0 4.48168E-02 5.26934E-03 3.41218E-03 8.68152E-03 8.20153E-03 0.076136 3 1 70.0 0.0 180.0 4.92420E-02 4.92350E-03 8.17354E-03 1.30970E-02 7.66325E-03 0.165987 3 4 70.0 45.0 135.0 4.78560E-02 4.92368E-03 7.86446E-03 1.27881E-02 7.66354E-03 0.164336 3 7 70.0 90.0 90.0 5.35019E-02 4.99254E-03 8.55223E-03 1.35448E-02 7.77070E-03 0.159849 2 1 80.0 0.0 180.0 8.36629E-02 4.24522E-03 2.03170E-02 2.45622E-02 6.60754E-03 0.242843 2 4 80.0 45.0 135.0 7.74702E-02 4.23493E-03 1.96507E-02 2.38857E-02 6.59152E-03 0.253655 2 7 80.0 90.0 90.0 7.69673E-02 4.30203E-03 2.05797E-02 2.48817E-02 6.69596E-03 0.267382 1 1 87.5 0.0 180.0 1.35268E-01 3.43638E-03 3.58318E-02 3.92682E-02 5.34861E-03 0.264896 1 4 87.5 45.0 135.0 1.21792E-01 3.26330E-03 3.56106E-02 3.88739E-02 5.07922E-03 0.292389 1 7 87.5 90.0 90.0 1.10804E-01 3.67246E-03 3.64451E-02 4.01176E-02 5.71606E-03 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 385.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 8.590E-03 7.149E-02 8.727E-02 7.546E-02 1.126E-01 1.337E-02 4.745E+00 4.848E-03 7.545E-03 1 0.00 0.00 8.992E-03 1.332E-01 1.741E-02 1.985E-02 2.598E-02 1.408E-02 4.116E+00 3 4.23 5.00 3.712E-03 1.469E-01 9.578E-03 1.185E-02 1.709E-02 1.447E-02 4.540E+00 5 8.46 10.00 1.387E-03 6.428E-02 4.170E-03 4.977E-03 6.512E-03 1.459E-02 4.668E+00 Waveband 4 of 40 completed in 4.5 sec. * * * * * Output for wavelength band 5 (390.0 to 400.0 nm; nominal wavelength = 395.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 395.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 390.0 nm to 400.0 nm: Ed(diffuse) = 3.149E-01 Ed(direct) = 4.830E-01 Ed(total) = 7.979E-01 Absorption Coefficients of Individual Components at 395.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0081 0.0691 0.0387 0.1159 3 4.120 5.000 0.0081 0.0691 0.0387 0.1159 5 8.240 10.000 0.0081 0.0691 0.0387 0.1159 Scattering Coefficients of Individual Components at 395.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0080 0.7001 0.0000 0.7081 3 4.120 5.000 0.0080 0.7001 0.0000 0.7081 5 8.240 10.000 0.0080 0.7001 0.0000 0.7081 Backscattering Coefficients of Individual Components at 395.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00400 0.01400 0.00000 0.01800 3 4.120 5.000 0.00400 0.01400 0.00000 0.01800 5 8.240 10.000 0.00400 0.01400 0.00000 0.01800 Summary of Inherent Optical Properties at 395.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1159 0.7081 0.8240 0.8593 0.01800 0.02542 3 4.120 5.000 0.1159 0.7081 0.8240 0.8593 0.01800 0.02542 5 8.240 10.000 0.1159 0.7081 0.8240 0.8593 0.01800 0.02542 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4984E-01 8 20.00 8.2818E-01 7 30.00 6.6648E-01 6 40.00 5.0192E-01 5 50.00 3.5978E-01 4 60.00 2.5017E-01 3 70.00 1.7207E-01 2 80.00 1.1954E-01 1 87.50 9.1724E-02 1 92.50 7.6357E-02 2 100.00 6.0531E-02 3 110.00 4.6241E-02 4 120.00 3.6782E-02 5 130.00 3.0595E-02 6 140.00 2.6560E-02 7 150.00 2.3965E-02 8 160.00 2.2365E-02 9 170.00 2.1496E-02 10 180.00 2.1188E-02 Asymptotic AOP values are MUu(inf) = 0.3888 MUd(inf) = 0.6917 MU(inf) = 0.5741 R(inf) = 0.0687 Lu(inf)/Ed(inf) = 0.014390 (1/sr) k(inf) = 0.2019 (1/m) absorp(check) = 0.1159 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 395.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.3631E-01 1.1930E+00 1.3293E+00 4.9828E-02 7.9790E-01 0.3655 0.6688 0.5628 6.2449E-02 1 0.00 0.00 1.0560E-01 9.4864E-01 1.0542E+00 4.5403E-02 7.9347E-01 0.4299 0.8364 0.7096 5.7221E-02 3 4.12 5.00 5.3131E-02 4.4584E-01 4.9897E-01 2.1272E-02 3.2801E-01 0.4004 0.7357 0.6147 6.4851E-02 5 8.24 10.00 2.1441E-02 1.7685E-01 1.9829E-01 8.4288E-03 1.2524E-01 0.3931 0.7081 0.5891 6.7303E-02 K-functions (units of 1/meter) at 395.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.09136 0.11937 0.11657 0.11300 0.16024 0.16311 0.15024 5.000 5.010 5.005 0.16927 0.17505 0.17444 0.17536 0.18746 0.18830 0.18478 10.000 10.010 10.005 0.18998 0.19186 0.19166 0.19203 0.19626 0.19656 0.19537 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 395.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 8.49787E-02 5.93576E-03 4.62298E-03 1.05587E-02 7.43919E-03 0.054402 9 1 10.0 0.0 180.0 5.24353E-02 6.04138E-03 1.65639E-03 7.69777E-03 7.57156E-03 0.031589 9 4 10.0 45.0 135.0 5.76123E-02 6.01355E-03 1.89219E-03 7.90575E-03 7.53669E-03 0.032844 9 7 10.0 90.0 90.0 7.78390E-02 5.99664E-03 3.51185E-03 9.50849E-03 7.51549E-03 0.045117 8 1 20.0 0.0 180.0 4.11872E-02 6.12043E-03 9.94217E-04 7.11465E-03 7.67063E-03 0.024139 8 4 20.0 45.0 135.0 4.58525E-02 6.05549E-03 1.15516E-03 7.21064E-03 7.58924E-03 0.025193 8 7 20.0 90.0 90.0 6.74239E-02 6.04298E-03 2.27954E-03 8.32251E-03 7.57356E-03 0.033809 7 1 30.0 0.0 180.0 3.57115E-02 6.23693E-03 8.59667E-04 7.09659E-03 7.81664E-03 0.024073 7 4 30.0 45.0 135.0 3.95842E-02 6.22263E-03 9.64244E-04 7.18688E-03 7.79872E-03 0.024359 7 7 30.0 90.0 90.0 5.77892E-02 6.18058E-03 1.59002E-03 7.77060E-03 7.74601E-03 0.027514 6 1 40.0 0.0 180.0 3.38970E-02 6.34353E-03 9.55845E-04 7.29937E-03 7.95024E-03 0.028198 6 4 40.0 45.0 135.0 3.70646E-02 6.32000E-03 1.03666E-03 7.35666E-03 7.92075E-03 0.027969 6 7 40.0 90.0 90.0 5.20381E-02 6.29308E-03 1.49697E-03 7.79005E-03 7.88701E-03 0.028767 5 1 50.0 0.0 180.0 3.55399E-02 6.47996E-03 1.50990E-03 7.98986E-03 8.12122E-03 0.042485 5 4 50.0 45.0 135.0 3.78725E-02 6.42197E-03 1.57304E-03 7.99501E-03 8.04855E-03 0.041535 5 7 50.0 90.0 90.0 5.03420E-02 6.41631E-03 2.03363E-03 8.44994E-03 8.04146E-03 0.040396 4 1 60.0 0.0 180.0 4.21864E-02 6.43976E-03 3.51736E-03 9.95711E-03 8.07084E-03 0.083377 4 4 60.0 45.0 135.0 4.31411E-02 6.37407E-03 3.47333E-03 9.84740E-03 7.98852E-03 0.080511 4 7 60.0 90.0 90.0 5.32736E-02 6.45941E-03 4.05606E-03 1.05155E-02 8.09547E-03 0.076136 3 1 70.0 0.0 180.0 5.85340E-02 6.02398E-03 9.71588E-03 1.57399E-02 7.54975E-03 0.165987 3 4 70.0 45.0 135.0 5.68864E-02 6.02745E-03 9.34848E-03 1.53759E-02 7.55411E-03 0.164336 3 7 70.0 90.0 90.0 6.35977E-02 6.12189E-03 1.01660E-02 1.62879E-02 7.67246E-03 0.159849 2 1 80.0 0.0 180.0 9.94501E-02 5.19397E-03 2.41508E-02 2.93447E-02 6.50951E-03 0.242843 2 4 80.0 45.0 135.0 9.20888E-02 5.18452E-03 2.33588E-02 2.85433E-02 6.49767E-03 0.253655 2 7 80.0 90.0 90.0 9.14910E-02 5.27652E-03 2.44630E-02 2.97396E-02 6.61297E-03 0.267382 1 1 87.5 0.0 180.0 1.60792E-01 4.20421E-03 4.25933E-02 4.67975E-02 5.26907E-03 0.264896 1 4 87.5 45.0 135.0 1.44774E-01 3.99514E-03 4.23303E-02 4.63254E-02 5.00704E-03 0.292389 1 7 87.5 90.0 90.0 1.31712E-01 4.50536E-03 4.33223E-02 4.78276E-02 5.64649E-03 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 395.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.056E-02 8.498E-02 1.038E-01 8.977E-02 1.340E-01 1.323E-02 4.719E+00 5.936E-03 7.439E-03 1 0.00 0.00 1.101E-02 1.583E-01 2.128E-02 2.436E-02 3.206E-02 1.388E-02 4.124E+00 3 4.12 5.00 4.675E-03 1.855E-01 1.201E-02 1.494E-02 2.174E-02 1.425E-02 4.550E+00 5 8.24 10.00 1.800E-03 8.445E-02 5.401E-03 6.489E-03 8.580E-03 1.437E-02 4.684E+00 Waveband 5 of 40 completed in 4.3 sec. * * * * * Output for wavelength band 6 (400.0 to 410.0 nm; nominal wavelength = 405.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 405.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 400.0 nm to 410.0 nm: Ed(diffuse) = 4.287E-01 Ed(direct) = 6.992E-01 Ed(total) = 1.128E+00 Absorption Coefficients of Individual Components at 405.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0053 0.0804 0.0337 0.1194 3 4.047 5.000 0.0053 0.0804 0.0337 0.1194 5 8.094 10.000 0.0053 0.0804 0.0337 0.1194 Scattering Coefficients of Individual Components at 405.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0072 0.6828 0.0000 0.6900 3 4.047 5.000 0.0072 0.6828 0.0000 0.6900 5 8.094 10.000 0.0072 0.6828 0.0000 0.6900 Backscattering Coefficients of Individual Components at 405.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00359 0.01366 0.00000 0.01725 3 4.047 5.000 0.00359 0.01366 0.00000 0.01725 5 8.094 10.000 0.00359 0.01366 0.00000 0.01725 Summary of Inherent Optical Properties at 405.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1194 0.6900 0.8094 0.8525 0.01725 0.02499 3 4.047 5.000 0.1194 0.6900 0.8094 0.8525 0.01725 0.02499 5 8.094 10.000 0.1194 0.6900 0.8094 0.8525 0.01725 0.02499 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4819E-01 8 20.00 8.2293E-01 7 30.00 6.5755E-01 6 40.00 4.9077E-01 5 50.00 3.4825E-01 4 60.00 2.3965E-01 3 70.00 1.6318E-01 2 80.00 1.1233E-01 1 87.50 8.5662E-02 1 92.50 7.1036E-02 2 100.00 5.6046E-02 3 110.00 4.2593E-02 4 120.00 3.3749E-02 5 130.00 2.7997E-02 6 140.00 2.4265E-02 7 150.00 2.1874E-02 8 160.00 2.0405E-02 9 170.00 1.9608E-02 10 180.00 1.9327E-02 Asymptotic AOP values are MUu(inf) = 0.3870 MUd(inf) = 0.6965 MU(inf) = 0.5843 R(inf) = 0.0642 Lu(inf)/Ed(inf) = 0.013382 (1/sr) k(inf) = 0.2043 (1/m) absorp(check) = 0.1194 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 405.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.8527E-01 1.6724E+00 1.8577E+00 6.7989E-02 1.1279E+00 0.3670 0.6745 0.5706 6.0277E-02 1 0.00 0.00 1.4022E-01 1.3327E+00 1.4729E+00 6.0108E-02 1.1200E+00 0.4287 0.8404 0.7196 5.3666E-02 3 4.05 5.00 6.9765E-02 6.1796E-01 6.8773E-01 2.7837E-02 4.5776E-01 0.3990 0.7408 0.6251 6.0813E-02 5 8.09 10.00 2.7854E-02 2.4241E-01 2.7027E-01 1.0910E-02 1.7287E-01 0.3917 0.7131 0.5993 6.3109E-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 0.09217 0.12120 0.11844 0.11517 0.16267 0.16536 0.15282 5.000 5.010 5.005 0.17143 0.17737 0.17677 0.17759 0.18965 0.19043 0.18712 10.000 10.010 10.005 0.19216 0.19406 0.19386 0.19427 0.19847 0.19875 0.19770 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 405.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.15686E-01 7.83546E-03 6.50596E-03 1.43414E-02 6.94665E-03 0.056238 9 1 10.0 0.0 180.0 7.13830E-02 7.97575E-03 2.28345E-03 1.02592E-02 7.07103E-03 0.031989 9 4 10.0 45.0 135.0 7.84307E-02 7.93855E-03 2.61264E-03 1.05512E-02 7.03806E-03 0.033311 9 7 10.0 90.0 90.0 1.05966E-01 7.91537E-03 4.91231E-03 1.28277E-02 7.01751E-03 0.046357 8 1 20.0 0.0 180.0 5.60704E-02 8.08022E-03 1.35492E-03 9.43515E-03 7.16366E-03 0.024165 8 4 20.0 45.0 135.0 6.24214E-02 7.99367E-03 1.57631E-03 9.56998E-03 7.08692E-03 0.025253 8 7 20.0 90.0 90.0 9.17877E-02 7.97591E-03 3.15324E-03 1.11292E-02 7.07118E-03 0.034354 7 1 30.0 0.0 180.0 4.86160E-02 8.23386E-03 1.17031E-03 9.40417E-03 7.29986E-03 0.024073 7 4 30.0 45.0 135.0 5.38891E-02 8.21384E-03 1.31286E-03 9.52670E-03 7.28212E-03 0.024362 7 7 30.0 90.0 90.0 7.86649E-02 8.15692E-03 2.17442E-03 1.03313E-02 7.23165E-03 0.027642 6 1 40.0 0.0 180.0 4.61458E-02 8.37393E-03 1.30124E-03 9.67517E-03 7.42404E-03 0.028198 6 4 40.0 45.0 135.0 5.04580E-02 8.34147E-03 1.41127E-03 9.75274E-03 7.39527E-03 0.027969 6 7 40.0 90.0 90.0 7.08422E-02 8.30497E-03 2.03855E-03 1.03435E-02 7.36291E-03 0.028776 5 1 50.0 0.0 180.0 4.83824E-02 8.55349E-03 2.05551E-03 1.06090E-02 7.58324E-03 0.042485 5 4 50.0 45.0 135.0 5.15579E-02 8.47562E-03 2.14146E-03 1.06171E-02 7.51421E-03 0.041535 5 7 50.0 90.0 90.0 6.85333E-02 8.46844E-03 2.76849E-03 1.12369E-02 7.50783E-03 0.040396 4 1 60.0 0.0 180.0 5.74306E-02 8.50009E-03 4.78837E-03 1.32885E-02 7.53590E-03 0.083377 4 4 60.0 45.0 135.0 5.87304E-02 8.41230E-03 4.72843E-03 1.31407E-02 7.45806E-03 0.080511 4 7 60.0 90.0 90.0 7.25243E-02 8.52681E-03 5.52173E-03 1.40485E-02 7.55958E-03 0.076136 3 1 70.0 0.0 180.0 7.96854E-02 7.95161E-03 1.32267E-02 2.11784E-02 7.04963E-03 0.165987 3 4 70.0 45.0 135.0 7.74426E-02 7.95566E-03 1.27266E-02 2.06822E-02 7.05322E-03 0.164336 3 7 70.0 90.0 90.0 8.65789E-02 8.08447E-03 1.38396E-02 2.19240E-02 7.16742E-03 0.159849 2 1 80.0 0.0 180.0 1.35387E-01 6.85663E-03 3.28778E-02 3.97344E-02 6.07886E-03 0.242843 2 4 80.0 45.0 135.0 1.25365E-01 6.84420E-03 3.17996E-02 3.86438E-02 6.06784E-03 0.253655 2 7 80.0 90.0 90.0 1.24552E-01 6.97123E-03 3.33028E-02 4.02741E-02 6.18046E-03 0.267382 1 1 87.5 0.0 180.0 2.18895E-01 5.55108E-03 5.79845E-02 6.35356E-02 4.92140E-03 0.264896 1 4 87.5 45.0 135.0 1.97088E-01 5.27551E-03 5.76265E-02 6.29020E-02 4.67709E-03 0.292389 1 7 87.5 90.0 90.0 1.79307E-01 5.95602E-03 5.89769E-02 6.49329E-02 5.28041E-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 1.434E-02 1.157E-01 1.412E-01 1.221E-01 1.823E-01 1.271E-02 4.741E+00 7.835E-03 6.947E-03 1 0.00 0.00 1.453E-02 2.155E-01 2.820E-02 3.244E-02 4.307E-02 1.298E-02 4.136E+00 3 4.05 5.00 6.098E-03 2.575E-01 1.578E-02 1.976E-02 2.907E-02 1.332E-02 4.565E+00 5 8.09 10.00 2.320E-03 1.175E-01 7.020E-03 8.497E-03 1.137E-02 1.342E-02 4.702E+00 Waveband 6 of 40 completed in 4.3 sec. * * * * * Output for wavelength band 7 (410.0 to 420.0 nm; nominal wavelength = 415.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 415.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 410.0 nm to 420.0 nm: Ed(diffuse) = 4.394E-01 Ed(direct) = 7.590E-01 Ed(total) = 1.198E+00 Absorption Coefficients of Individual Components at 415.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0044 0.0907 0.0293 0.1244 3 3.986 5.000 0.0044 0.0907 0.0293 0.1244 5 7.973 10.000 0.0044 0.0907 0.0293 0.1244 Scattering Coefficients of Individual Components at 415.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0065 0.6664 0.0000 0.6728 3 3.986 5.000 0.0065 0.6664 0.0000 0.6728 5 7.973 10.000 0.0065 0.6664 0.0000 0.6728 Backscattering Coefficients of Individual Components at 415.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00323 0.01333 0.00000 0.01656 3 3.986 5.000 0.00323 0.01333 0.00000 0.01656 5 7.973 10.000 0.00323 0.01333 0.00000 0.01656 Summary of Inherent Optical Properties at 415.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1244 0.6728 0.7973 0.8439 0.01656 0.02461 3 3.986 5.000 0.1244 0.6728 0.7973 0.8439 0.01656 0.02461 5 7.973 10.000 0.1244 0.6728 0.7973 0.8439 0.01656 0.02461 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4611E-01 8 20.00 8.1639E-01 7 30.00 6.4654E-01 6 40.00 4.7720E-01 5 50.00 3.3445E-01 4 60.00 2.2726E-01 3 70.00 1.5289E-01 2 80.00 1.0410E-01 1 87.50 7.8825E-02 1 92.50 6.5082E-02 2 100.00 5.1075E-02 3 110.00 3.8597E-02 4 120.00 3.0459E-02 5 130.00 2.5203E-02 6 140.00 2.1811E-02 7 150.00 1.9649E-02 8 160.00 1.8325E-02 9 170.00 1.7610E-02 10 180.00 1.7357E-02 Asymptotic AOP values are MUu(inf) = 0.3852 MUd(inf) = 0.7022 MU(inf) = 0.5961 R(inf) = 0.0593 Lu(inf)/Ed(inf) = 0.012305 (1/sr) k(inf) = 0.2088 (1/m) absorp(check) = 0.1244 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 415.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.8874E-01 1.7632E+00 1.9520E+00 6.9402E-02 1.1984E+00 0.3677 0.6797 0.5784 5.7910E-02 1 0.00 0.00 1.3785E-01 1.4061E+00 1.5439E+00 5.8876E-02 1.1879E+00 0.4271 0.8448 0.7313 4.9563E-02 3 3.99 5.00 6.7215E-02 6.3629E-01 7.0350E-01 2.6710E-02 4.7495E-01 0.3974 0.7464 0.6372 5.6239E-02 5 7.97 10.00 2.6287E-02 2.4417E-01 2.7045E-01 1.0254E-02 1.7554E-01 0.3901 0.7189 0.6111 5.8413E-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 0.09358 0.12481 0.12203 0.11860 0.16709 0.16962 0.15694 5.000 5.010 5.005 0.17556 0.18189 0.18129 0.18172 0.19397 0.19470 0.19127 10.000 10.010 10.005 0.19630 0.19839 0.19819 0.19843 0.20278 0.20305 0.20190 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 415.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.18579E-01 7.64861E-03 6.88404E-03 1.45327E-02 6.38210E-03 0.058054 9 1 10.0 0.0 180.0 7.31681E-02 7.78774E-03 2.36947E-03 1.01572E-02 6.49819E-03 0.032384 9 4 10.0 45.0 135.0 8.03920E-02 7.75052E-03 2.71518E-03 1.04657E-02 6.46713E-03 0.033774 9 7 10.0 90.0 90.0 1.08616E-01 7.72601E-03 5.16841E-03 1.28944E-02 6.44668E-03 0.047584 8 1 20.0 0.0 180.0 5.74725E-02 7.89049E-03 1.39027E-03 9.28076E-03 6.58392E-03 0.024190 8 4 20.0 45.0 135.0 6.39824E-02 7.80440E-03 1.61952E-03 9.42392E-03 6.51209E-03 0.025312 8 7 20.0 90.0 90.0 9.40831E-02 7.78418E-03 3.28278E-03 1.10670E-02 6.49522E-03 0.034892 7 1 30.0 0.0 180.0 4.98318E-02 8.04081E-03 1.19958E-03 9.24038E-03 6.70935E-03 0.024072 7 4 30.0 45.0 135.0 5.52379E-02 8.01908E-03 1.34587E-03 9.36495E-03 6.69122E-03 0.024365 7 7 30.0 90.0 90.0 8.06253E-02 7.95987E-03 2.23876E-03 1.01986E-02 6.64181E-03 0.027767 6 1 40.0 0.0 180.0 4.72998E-02 8.17722E-03 1.33378E-03 9.51100E-03 6.82317E-03 0.028198 6 4 40.0 45.0 135.0 5.17198E-02 8.14280E-03 1.44656E-03 9.58936E-03 6.79446E-03 0.027969 6 7 40.0 90.0 90.0 7.26138E-02 8.10346E-03 2.09017E-03 1.01936E-02 6.76163E-03 0.028785 5 1 50.0 0.0 180.0 4.95923E-02 8.35211E-03 2.10691E-03 1.04590E-02 6.96911E-03 0.042485 5 4 50.0 45.0 135.0 5.28472E-02 8.27325E-03 2.19501E-03 1.04683E-02 6.90330E-03 0.041535 5 7 50.0 90.0 90.0 7.02471E-02 8.26360E-03 2.83772E-03 1.11013E-02 6.89525E-03 0.040396 4 1 60.0 0.0 180.0 5.88668E-02 8.29968E-03 4.90811E-03 1.32078E-02 6.92535E-03 0.083377 4 4 60.0 45.0 135.0 6.01990E-02 8.21127E-03 4.84667E-03 1.30579E-02 6.85159E-03 0.080511 4 7 60.0 90.0 90.0 7.43379E-02 8.32201E-03 5.65981E-03 1.39818E-02 6.94399E-03 0.076136 3 1 70.0 0.0 180.0 8.16781E-02 7.76450E-03 1.35575E-02 2.13220E-02 6.47880E-03 0.165987 3 4 70.0 45.0 135.0 7.93792E-02 7.76643E-03 1.30448E-02 2.08113E-02 6.48041E-03 0.164336 3 7 70.0 90.0 90.0 8.87440E-02 7.89386E-03 1.41856E-02 2.20795E-02 6.58673E-03 0.159849 2 1 80.0 0.0 180.0 1.38772E-01 6.69604E-03 3.36999E-02 4.03960E-02 5.58726E-03 0.242843 2 4 80.0 45.0 135.0 1.28500E-01 6.68270E-03 3.25948E-02 3.92775E-02 5.57613E-03 0.253655 2 7 80.0 90.0 90.0 1.27666E-01 6.81048E-03 3.41356E-02 4.09461E-02 5.68275E-03 0.267382 1 1 87.5 0.0 180.0 2.24369E-01 5.42229E-03 5.94345E-02 6.48568E-02 4.52443E-03 0.264896 1 4 87.5 45.0 135.0 2.02017E-01 5.15271E-03 5.90676E-02 6.42203E-02 4.29948E-03 0.292389 1 7 87.5 90.0 90.0 1.83791E-01 5.82295E-03 6.04518E-02 6.62747E-02 4.85874E-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 1.453E-02 1.186E-01 1.446E-01 1.250E-01 1.867E-01 1.213E-02 4.776E+00 7.649E-03 6.382E-03 1 0.00 0.00 1.419E-02 2.209E-01 2.769E-02 3.202E-02 4.295E-02 1.194E-02 4.150E+00 3 3.99 5.00 5.830E-03 2.661E-01 1.523E-02 1.922E-02 2.860E-02 1.227E-02 4.582E+00 5 7.97 10.00 2.172E-03 1.205E-01 6.636E-03 8.094E-03 1.096E-02 1.238E-02 4.720E+00 Waveband 7 of 40 completed in 4.3 sec. * * * * * Output for wavelength band 8 (420.0 to 430.0 nm; nominal wavelength = 425.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 425.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 420.0 nm to 430.0 nm: Ed(diffuse) = 4.082E-01 Ed(direct) = 7.412E-01 Ed(total) = 1.149E+00 Absorption Coefficients of Individual Components at 425.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0048 0.0959 0.0254 0.1261 3 3.913 5.000 0.0048 0.0959 0.0254 0.1261 5 7.826 10.000 0.0048 0.0959 0.0254 0.1261 Scattering Coefficients of Individual Components at 425.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0058 0.6507 0.0000 0.6565 3 3.913 5.000 0.0058 0.6507 0.0000 0.6565 5 7.826 10.000 0.0058 0.6507 0.0000 0.6565 Backscattering Coefficients of Individual Components at 425.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00291 0.01301 0.00000 0.01593 3 3.913 5.000 0.00291 0.01301 0.00000 0.01593 5 7.826 10.000 0.00291 0.01301 0.00000 0.01593 Summary of Inherent Optical Properties at 425.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1261 0.6565 0.7826 0.8389 0.01593 0.02426 3 3.913 5.000 0.1261 0.6565 0.7826 0.8389 0.01593 0.02426 5 7.826 10.000 0.1261 0.6565 0.7826 0.8389 0.01593 0.02426 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4489E-01 8 20.00 8.1257E-01 7 30.00 6.4015E-01 6 40.00 4.6939E-01 5 50.00 3.2658E-01 4 60.00 2.2025E-01 3 70.00 1.4710E-01 2 80.00 9.9511E-02 1 87.50 7.5014E-02 1 92.50 6.1765E-02 2 100.00 4.8307E-02 3 110.00 3.6368E-02 4 120.00 2.8618E-02 5 130.00 2.3631E-02 6 140.00 2.0425E-02 7 150.00 1.8386E-02 8 160.00 1.7141E-02 9 170.00 1.6469E-02 10 180.00 1.6232E-02 Asymptotic AOP values are MUu(inf) = 0.3839 MUd(inf) = 0.7056 MU(inf) = 0.6031 R(inf) = 0.0565 Lu(inf)/Ed(inf) = 0.011667 (1/sr) k(inf) = 0.2091 (1/m) absorp(check) = 0.1261 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 425.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.7545E-01 1.6797E+00 1.8552E+00 6.4809E-02 1.1494E+00 0.3694 0.6843 0.5846 5.6386E-02 1 0.00 0.00 1.2598E-01 1.3427E+00 1.4687E+00 5.3679E-02 1.1382E+00 0.4261 0.8477 0.7385 4.7159E-02 3 3.91 5.00 6.1350E-02 6.0523E-01 6.6658E-01 2.4319E-02 4.5414E-01 0.3964 0.7504 0.6448 5.3549E-02 5 7.83 10.00 2.4000E-02 2.3200E-01 2.5599E-01 9.3352E-03 1.6766E-01 0.3890 0.7227 0.6185 5.5679E-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 0.09334 0.12551 0.12275 0.11908 0.16780 0.17021 0.15750 5.000 5.010 5.005 0.17559 0.18222 0.18161 0.18177 0.19422 0.19493 0.19137 10.000 10.010 10.005 0.19521 0.19855 0.19824 0.19833 0.20299 0.20326 0.20199 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 425.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.10138E-01 6.95396E-03 6.57864E-03 1.35326E-02 6.05012E-03 0.059731 9 1 10.0 0.0 180.0 6.79596E-02 7.08081E-03 2.22558E-03 9.30640E-03 6.16048E-03 0.032749 9 4 10.0 45.0 135.0 7.46693E-02 7.04675E-03 2.55379E-03 9.60055E-03 6.13085E-03 0.034201 9 7 10.0 90.0 90.0 1.00884E-01 7.02417E-03 4.91474E-03 1.19389E-02 6.11120E-03 0.048717 8 1 20.0 0.0 180.0 5.33813E-02 7.17434E-03 1.29256E-03 8.46690E-03 6.24185E-03 0.024214 8 4 20.0 45.0 135.0 5.94278E-02 7.09567E-03 1.50748E-03 8.60315E-03 6.17341E-03 0.025367 8 7 20.0 90.0 90.0 8.73858E-02 7.07692E-03 3.09254E-03 1.01695E-02 6.15710E-03 0.035390 7 1 30.0 0.0 180.0 4.62845E-02 7.31102E-03 1.11418E-03 8.42520E-03 6.36077E-03 0.024072 7 4 30.0 45.0 135.0 5.13067E-02 7.29071E-03 1.25022E-03 8.54093E-03 6.34310E-03 0.024368 7 7 30.0 90.0 90.0 7.48801E-02 7.23662E-03 2.08794E-03 9.32456E-03 6.29604E-03 0.027884 6 1 40.0 0.0 180.0 4.39327E-02 7.43483E-03 1.23883E-03 8.67367E-03 6.46849E-03 0.028198 6 4 40.0 45.0 135.0 4.80381E-02 7.40292E-03 1.34358E-03 8.74650E-03 6.44072E-03 0.027969 6 7 40.0 90.0 90.0 6.74447E-02 7.36753E-03 1.94194E-03 9.30947E-03 6.40993E-03 0.028793 5 1 50.0 0.0 180.0 4.60620E-02 7.59370E-03 1.95693E-03 9.55062E-03 6.60670E-03 0.042485 5 4 50.0 45.0 135.0 4.90853E-02 7.52151E-03 2.03876E-03 9.56027E-03 6.54390E-03 0.041535 5 7 50.0 90.0 90.0 6.52465E-02 7.51430E-03 2.63572E-03 1.01500E-02 6.53763E-03 0.040396 4 1 60.0 0.0 180.0 5.46763E-02 7.54598E-03 4.55872E-03 1.21047E-02 6.56519E-03 0.083377 4 4 60.0 45.0 135.0 5.59137E-02 7.46536E-03 4.50166E-03 1.19670E-02 6.49505E-03 0.080511 4 7 60.0 90.0 90.0 6.90461E-02 7.56903E-03 5.25692E-03 1.28259E-02 6.58524E-03 0.076136 3 1 70.0 0.0 180.0 7.58638E-02 7.05974E-03 1.25924E-02 1.96521E-02 6.14215E-03 0.165987 3 4 70.0 45.0 135.0 7.37285E-02 7.06170E-03 1.21162E-02 1.91779E-02 6.14385E-03 0.164336 3 7 70.0 90.0 90.0 8.24268E-02 7.18237E-03 1.31758E-02 2.03582E-02 6.24884E-03 0.159849 2 1 80.0 0.0 180.0 1.28894E-01 6.08875E-03 3.13010E-02 3.73897E-02 5.29736E-03 0.242843 2 4 80.0 45.0 135.0 1.19353E-01 6.07722E-03 3.02746E-02 3.63518E-02 5.28733E-03 0.253655 2 7 80.0 90.0 90.0 1.18578E-01 6.19920E-03 3.17057E-02 3.79049E-02 5.39346E-03 0.267382 1 1 87.5 0.0 180.0 2.08398E-01 4.93123E-03 5.52036E-02 6.01349E-02 4.29029E-03 0.264896 1 4 87.5 45.0 135.0 1.87636E-01 4.68690E-03 5.48628E-02 5.95497E-02 4.07772E-03 0.292389 1 7 87.5 90.0 90.0 1.70708E-01 5.30309E-03 5.61485E-02 6.14516E-02 4.61382E-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 1.353E-02 1.101E-01 1.343E-01 1.161E-01 1.734E-01 1.177E-02 4.789E+00 6.954E-03 6.050E-03 1 0.00 0.00 1.290E-02 2.051E-01 2.525E-02 2.933E-02 3.964E-02 1.133E-02 4.162E+00 3 3.91 5.00 5.293E-03 2.525E-01 1.389E-02 1.762E-02 2.648E-02 1.166E-02 4.594E+00 5 7.83 10.00 1.972E-03 1.155E-01 6.051E-03 7.427E-03 1.016E-02 1.176E-02 4.734E+00 Waveband 8 of 40 completed in 4.3 sec. * * * * * Output for wavelength band 9 (430.0 to 440.0 nm; nominal wavelength = 435.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 435.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 430.0 nm to 440.0 nm: Ed(diffuse) = 4.073E-01 Ed(direct) = 7.763E-01 Ed(total) = 1.184E+00 Absorption Coefficients of Individual Components at 435.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0053 0.1031 0.0221 0.1305 3 3.858 5.000 0.0053 0.1031 0.0221 0.1305 5 7.715 10.000 0.0053 0.1031 0.0221 0.1305 Scattering Coefficients of Individual Components at 435.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0053 0.6357 0.0000 0.6410 3 3.858 5.000 0.0053 0.6357 0.0000 0.6410 5 7.715 10.000 0.0053 0.6357 0.0000 0.6410 Backscattering Coefficients of Individual Components at 435.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00264 0.01271 0.00000 0.01535 3 3.858 5.000 0.00264 0.01271 0.00000 0.01535 5 7.715 10.000 0.00264 0.01271 0.00000 0.01535 Summary of Inherent Optical Properties at 435.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1305 0.6410 0.7715 0.8308 0.01535 0.02395 3 3.858 5.000 0.1305 0.6410 0.7715 0.8308 0.01535 0.02395 5 7.715 10.000 0.1305 0.6410 0.7715 0.8308 0.01535 0.02395 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4295E-01 8 20.00 8.0654E-01 7 30.00 6.3016E-01 6 40.00 4.5733E-01 5 50.00 3.1460E-01 4 60.00 2.0976E-01 3 70.00 1.3859E-01 2 80.00 9.2859E-02 1 87.50 6.9565E-02 1 92.50 5.7066E-02 2 100.00 4.4431E-02 3 110.00 3.3291E-02 4 120.00 2.6109E-02 5 130.00 2.1516E-02 6 140.00 1.8576E-02 7 150.00 1.6715E-02 8 160.00 1.5582E-02 9 170.00 1.4971E-02 10 180.00 1.4756E-02 Asymptotic AOP values are MUu(inf) = 0.3824 MUd(inf) = 0.7107 MU(inf) = 0.6132 R(inf) = 0.0527 Lu(inf)/Ed(inf) = 0.010836 (1/sr) k(inf) = 0.2128 (1/m) absorp(check) = 0.1305 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 435.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.7428E-01 1.7187E+00 1.8930E+00 6.4527E-02 1.1836E+00 0.3702 0.6887 0.5912 5.4517E-02 1 0.00 0.00 1.2106E-01 1.3749E+00 1.4960E+00 5.1406E-02 1.1705E+00 0.4246 0.8513 0.7481 4.3918E-02 3 3.86 5.00 5.7893E-02 6.0661E-01 6.6451E-01 2.2867E-02 4.5819E-01 0.3950 0.7553 0.6551 4.9907E-02 5 7.72 10.00 2.2244E-02 2.2815E-01 2.5039E-01 8.6229E-03 1.6606E-01 0.3876 0.7278 0.6288 5.1927E-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 0.09485 0.12898 0.12621 0.12225 0.17169 0.17396 0.16117 5.000 5.010 5.005 0.17918 0.18615 0.18554 0.18535 0.19795 0.19861 0.19494 10.000 10.010 10.005 0.19985 0.20229 0.20208 0.20201 0.20668 0.20693 0.20554 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 435.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.09916E-01 6.63891E-03 6.75154E-03 1.33904E-02 5.60894E-03 0.061424 9 1 10.0 0.0 180.0 6.78230E-02 6.76187E-03 2.24609E-03 9.00796E-03 5.71282E-03 0.033117 9 4 10.0 45.0 135.0 7.45191E-02 6.72859E-03 2.58081E-03 9.30940E-03 5.68470E-03 0.034633 9 7 10.0 90.0 90.0 1.00682E-01 6.70545E-03 5.02001E-03 1.17255E-02 5.66516E-03 0.049860 8 1 20.0 0.0 180.0 5.32740E-02 6.85184E-03 1.29122E-03 8.14306E-03 5.78883E-03 0.024237 8 4 20.0 45.0 135.0 5.93083E-02 6.77542E-03 1.50772E-03 8.28314E-03 5.72427E-03 0.025422 8 7 20.0 90.0 90.0 8.72100E-02 6.75508E-03 3.13012E-03 9.88520E-03 5.70709E-03 0.035892 7 1 30.0 0.0 180.0 4.61914E-02 6.98267E-03 1.11194E-03 8.09462E-03 5.89937E-03 0.024072 7 4 30.0 45.0 135.0 5.12045E-02 6.96148E-03 1.24786E-03 8.20934E-03 5.88146E-03 0.024370 7 7 30.0 90.0 90.0 7.47236E-02 6.90675E-03 2.09235E-03 8.99910E-03 5.83522E-03 0.028001 6 1 40.0 0.0 180.0 4.38444E-02 7.10070E-03 1.23634E-03 8.33704E-03 5.99908E-03 0.028198 6 4 40.0 45.0 135.0 4.79415E-02 7.06796E-03 1.34088E-03 8.40884E-03 5.97142E-03 0.027969 6 7 40.0 90.0 90.0 6.73091E-02 7.03096E-03 1.93860E-03 8.96956E-03 5.94017E-03 0.028801 5 1 50.0 0.0 180.0 4.59694E-02 7.25207E-03 1.95299E-03 9.20506E-03 6.12697E-03 0.042485 5 4 50.0 45.0 135.0 4.89866E-02 7.18077E-03 2.03466E-03 9.21543E-03 6.06674E-03 0.041535 5 7 50.0 90.0 90.0 6.51153E-02 7.17148E-03 2.63042E-03 9.80189E-03 6.05888E-03 0.040396 4 1 60.0 0.0 180.0 5.45664E-02 7.20626E-03 4.54956E-03 1.17558E-02 6.08827E-03 0.083377 4 4 60.0 45.0 135.0 5.58013E-02 7.12701E-03 4.49261E-03 1.16196E-02 6.02131E-03 0.080511 4 7 60.0 90.0 90.0 6.89073E-02 7.22479E-03 5.24635E-03 1.24711E-02 6.10393E-03 0.076136 3 1 70.0 0.0 180.0 7.57113E-02 6.74216E-03 1.25671E-02 1.93093E-02 5.69617E-03 0.165987 3 4 70.0 45.0 135.0 7.35803E-02 6.74230E-03 1.20919E-02 1.88342E-02 5.69628E-03 0.164336 3 7 70.0 90.0 90.0 8.22610E-02 6.85847E-03 1.31493E-02 2.00078E-02 5.79443E-03 0.159849 2 1 80.0 0.0 180.0 1.28635E-01 5.81540E-03 3.12380E-02 3.70534E-02 4.91319E-03 0.242843 2 4 80.0 45.0 135.0 1.19113E-01 5.80331E-03 3.02137E-02 3.60170E-02 4.90298E-03 0.253655 2 7 80.0 90.0 90.0 1.18340E-01 5.92243E-03 3.16419E-02 3.75644E-02 5.00361E-03 0.267382 1 1 87.5 0.0 180.0 2.07978E-01 4.71078E-03 5.50926E-02 5.98034E-02 3.97994E-03 0.264896 1 4 87.5 45.0 135.0 1.87259E-01 4.47695E-03 5.47525E-02 5.92294E-02 3.78239E-03 0.292389 1 7 87.5 90.0 90.0 1.70364E-01 5.06967E-03 5.60356E-02 6.11052E-02 4.28315E-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 1.339E-02 1.099E-01 1.339E-01 1.157E-01 1.729E-01 1.131E-02 4.819E+00 6.639E-03 5.609E-03 1 0.00 0.00 1.231E-02 2.047E-01 2.424E-02 2.828E-02 3.858E-02 1.052E-02 4.175E+00 3 3.86 5.00 4.962E-03 2.534E-01 1.312E-02 1.676E-02 2.545E-02 1.083E-02 4.608E+00 5 7.72 10.00 1.816E-03 1.152E-01 5.612E-03 6.937E-03 9.598E-03 1.094E-02 4.748E+00 Waveband 9 of 40 completed in 4.2 sec. * * * * * Output for wavelength band 10 (440.0 to 450.0 nm; nominal wavelength = 445.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 445.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 440.0 nm to 450.0 nm: Ed(diffuse) = 4.682E-01 Ed(direct) = 9.292E-01 Ed(total) = 1.397E+00 Absorption Coefficients of Individual Components at 445.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0075 0.1000 0.0192 0.1267 3 3.765 5.000 0.0075 0.1000 0.0192 0.1267 5 7.530 10.000 0.0075 0.1000 0.0192 0.1267 Scattering Coefficients of Individual Components at 445.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0048 0.6214 0.0000 0.6262 3 3.765 5.000 0.0048 0.6214 0.0000 0.6262 5 7.530 10.000 0.0048 0.6214 0.0000 0.6262 Backscattering Coefficients of Individual Components at 445.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00239 0.01243 0.00000 0.01482 3 3.765 5.000 0.00239 0.01243 0.00000 0.01482 5 7.530 10.000 0.00239 0.01243 0.00000 0.01482 Summary of Inherent Optical Properties at 445.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1267 0.6262 0.7530 0.8317 0.01482 0.02366 3 3.765 5.000 0.1267 0.6262 0.7530 0.8317 0.01482 0.02366 5 7.530 10.000 0.1267 0.6262 0.7530 0.8317 0.01482 0.02366 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4316E-01 8 20.00 8.0717E-01 7 30.00 6.3118E-01 6 40.00 4.5852E-01 5 50.00 3.1571E-01 4 60.00 2.1065E-01 3 70.00 1.3924E-01 2 80.00 9.3304E-02 1 87.50 6.9883E-02 1 92.50 5.7307E-02 2 100.00 4.4590E-02 3 110.00 3.3376E-02 4 120.00 2.6144E-02 5 130.00 2.1517E-02 6 140.00 1.8555E-02 7 150.00 1.6679E-02 8 160.00 1.5537E-02 9 170.00 1.4922E-02 10 180.00 1.4705E-02 Asymptotic AOP values are MUu(inf) = 0.3818 MUd(inf) = 0.7103 MU(inf) = 0.6130 R(inf) = 0.0526 Lu(inf)/Ed(inf) = 0.010777 (1/sr) k(inf) = 0.2068 (1/m) absorp(check) = 0.1268 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 445.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.0237E-01 2.0183E+00 2.2207E+00 7.5506E-02 1.3974E+00 0.3731 0.6924 0.5953 5.4033E-02 1 0.00 0.00 1.4214E-01 1.6219E+00 1.7640E+00 6.0313E-02 1.3822E+00 0.4243 0.8522 0.7494 4.3635E-02 3 3.76 5.00 6.9986E-02 7.3619E-01 8.0617E-01 2.7627E-02 5.5711E-01 0.3947 0.7567 0.6568 4.9590E-02 5 7.53 10.00 2.7782E-02 2.8584E-01 3.1362E-01 1.0758E-02 2.0827E-01 0.3872 0.7286 0.6298 5.1654E-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 0.09078 0.12472 0.12198 0.11773 0.16649 0.16871 0.15601 5.000 5.010 5.005 0.17269 0.17987 0.17924 0.17896 0.19180 0.19247 0.18871 10.000 10.010 10.005 0.19336 0.19592 0.19569 0.19560 0.20046 0.20072 0.19927 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 445.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.26342E-01 7.76988E-03 7.94837E-03 1.57182E-02 5.56021E-03 0.062911 9 1 10.0 0.0 180.0 7.79584E-02 7.91157E-03 2.60697E-03 1.05185E-02 5.66161E-03 0.033441 9 4 10.0 45.0 135.0 8.56552E-02 7.87341E-03 2.99894E-03 1.08723E-02 5.63430E-03 0.035012 9 7 10.0 90.0 90.0 1.15727E-01 7.84837E-03 5.88645E-03 1.37348E-02 5.61638E-03 0.050865 8 1 20.0 0.0 180.0 6.12352E-02 8.01627E-03 1.48545E-03 9.50172E-03 5.73654E-03 0.024258 8 4 20.0 45.0 135.0 6.81713E-02 7.92812E-03 1.73634E-03 9.66446E-03 5.67345E-03 0.025470 8 7 20.0 90.0 90.0 1.00243E-01 7.90776E-03 3.64209E-03 1.15499E-02 5.65888E-03 0.036333 7 1 30.0 0.0 180.0 5.30942E-02 8.16920E-03 1.27811E-03 9.44731E-03 5.84598E-03 0.024072 7 4 30.0 45.0 135.0 5.88574E-02 8.14616E-03 1.43450E-03 9.58066E-03 5.82949E-03 0.024372 7 7 30.0 90.0 90.0 8.58844E-02 8.08706E-03 2.41373E-03 1.05008E-02 5.78719E-03 0.028104 6 1 40.0 0.0 180.0 5.03965E-02 8.30777E-03 1.42110E-03 9.72887E-03 5.94514E-03 0.028198 6 4 40.0 45.0 135.0 5.51058E-02 8.27185E-03 1.54126E-03 9.81312E-03 5.91943E-03 0.027969 6 7 40.0 90.0 90.0 7.73677E-02 8.23555E-03 2.22887E-03 1.04644E-02 5.89346E-03 0.028809 5 1 50.0 0.0 180.0 5.28390E-02 8.48562E-03 2.24484E-03 1.07305E-02 6.07241E-03 0.042485 5 4 50.0 45.0 135.0 5.63071E-02 8.40517E-03 2.33872E-03 1.07439E-02 6.01484E-03 0.041535 5 7 50.0 90.0 90.0 7.48461E-02 8.40319E-03 3.02351E-03 1.14267E-02 6.01342E-03 0.040396 4 1 60.0 0.0 180.0 6.27208E-02 8.43284E-03 5.22944E-03 1.36623E-02 6.03464E-03 0.083377 4 4 60.0 45.0 135.0 6.41402E-02 8.34358E-03 5.16398E-03 1.35076E-02 5.97076E-03 0.080511 4 7 60.0 90.0 90.0 7.92047E-02 8.46875E-03 6.03036E-03 1.44991E-02 6.06033E-03 0.076136 3 1 70.0 0.0 180.0 8.70255E-02 7.89058E-03 1.44451E-02 2.23357E-02 5.64659E-03 0.165987 3 4 70.0 45.0 135.0 8.45761E-02 7.89456E-03 1.38989E-02 2.17934E-02 5.64944E-03 0.164336 3 7 70.0 90.0 90.0 9.45540E-02 8.04248E-03 1.51144E-02 2.31569E-02 5.75530E-03 0.159849 2 1 80.0 0.0 180.0 1.47858E-01 6.80657E-03 3.59062E-02 4.27128E-02 4.87086E-03 0.242843 2 4 80.0 45.0 135.0 1.36913E-01 6.79615E-03 3.47288E-02 4.15249E-02 4.86340E-03 0.253655 2 7 80.0 90.0 90.0 1.36024E-01 6.94717E-03 3.63705E-02 4.33177E-02 4.97148E-03 0.267382 1 1 87.5 0.0 180.0 2.39059E-01 5.51407E-03 6.33256E-02 6.88397E-02 3.94593E-03 0.264896 1 4 87.5 45.0 135.0 2.15243E-01 5.24353E-03 6.29347E-02 6.81782E-02 3.75233E-03 0.292389 1 7 87.5 90.0 90.0 1.95824E-01 5.94862E-03 6.44095E-02 7.03581E-02 4.25690E-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 1.572E-02 1.263E-01 1.539E-01 1.331E-01 1.989E-01 1.125E-02 4.804E+00 7.770E-03 5.560E-03 1 0.00 0.00 1.441E-02 2.353E-01 2.836E-02 3.321E-02 4.549E-02 1.043E-02 4.185E+00 3 3.76 5.00 5.981E-03 3.043E-01 1.577E-02 2.023E-02 3.092E-02 1.074E-02 4.619E+00 5 7.53 10.00 2.259E-03 1.436E-01 6.969E-03 8.660E-03 1.208E-02 1.084E-02 4.763E+00 Waveband 10 of 40 completed in 4.0 sec. * * * * * Output for wavelength band 11 (450.0 to 460.0 nm; nominal wavelength = 455.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 455.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 450.0 nm to 460.0 nm: Ed(diffuse) = 4.888E-01 Ed(direct) = 1.007E+00 Ed(total) = 1.495E+00 Absorption Coefficients of Individual Components at 455.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0096 0.0949 0.0167 0.1212 3 3.667 5.000 0.0096 0.0949 0.0167 0.1212 5 7.333 10.000 0.0096 0.0949 0.0167 0.1212 Scattering Coefficients of Individual Components at 455.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0043 0.6078 0.0000 0.6121 3 3.667 5.000 0.0043 0.6078 0.0000 0.6121 5 7.333 10.000 0.0043 0.6078 0.0000 0.6121 Backscattering Coefficients of Individual Components at 455.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00217 0.01216 0.00000 0.01433 3 3.667 5.000 0.00217 0.01216 0.00000 0.01433 5 7.333 10.000 0.00217 0.01216 0.00000 0.01433 Summary of Inherent Optical Properties at 455.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1212 0.6121 0.7333 0.8347 0.01433 0.02340 3 3.667 5.000 0.1212 0.6121 0.7333 0.8347 0.01433 0.02340 5 7.333 10.000 0.1212 0.6121 0.7333 0.8347 0.01433 0.02340 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4391E-01 8 20.00 8.0947E-01 7 30.00 6.3496E-01 6 40.00 4.6301E-01 5 50.00 3.2009E-01 4 60.00 2.1439E-01 3 70.00 1.4219E-01 2 80.00 9.5519E-02 1 87.50 7.1637E-02 1 92.50 5.8776E-02 2 100.00 4.5754E-02 3 110.00 3.4247E-02 4 120.00 2.6810E-02 5 130.00 2.2043E-02 6 140.00 1.8987E-02 7 150.00 1.7049E-02 8 160.00 1.5868E-02 9 170.00 1.5231E-02 10 180.00 1.5007E-02 Asymptotic AOP values are MUu(inf) = 0.3815 MUd(inf) = 0.7086 MU(inf) = 0.6102 R(inf) = 0.0534 Lu(inf)/Ed(inf) = 0.010912 (1/sr) k(inf) = 0.1986 (1/m) absorp(check) = 0.1212 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 455.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.1442E-01 2.1495E+00 2.3640E+00 8.0728E-02 1.4954E+00 0.3765 0.6957 0.5985 5.3983E-02 1 0.00 0.00 1.5428E-01 1.7366E+00 1.8909E+00 6.5481E-02 1.4802E+00 0.4244 0.8523 0.7481 4.4238E-02 3 3.67 5.00 7.8959E-02 8.1971E-01 8.9867E-01 3.1190E-02 6.2065E-01 0.3950 0.7572 0.6559 5.0253E-02 5 7.33 10.00 3.2728E-02 3.3216E-01 3.6489E-01 1.2674E-02 2.4189E-01 0.3873 0.7282 0.6282 5.2395E-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 0.08586 0.11883 0.11614 0.11176 0.15933 0.16153 0.14903 5.000 5.010 5.005 0.16412 0.17140 0.17076 0.17051 0.18354 0.18423 0.18044 10.000 10.010 10.005 0.18475 0.18738 0.18714 0.18709 0.19211 0.19238 0.19092 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 455.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.31908E-01 8.42219E-03 8.48427E-03 1.69065E-02 5.63191E-03 0.064320 9 1 10.0 0.0 180.0 8.13927E-02 8.57194E-03 2.74675E-03 1.13187E-02 5.73205E-03 0.033747 9 4 10.0 45.0 135.0 8.94286E-02 8.53193E-03 3.16313E-03 1.16951E-02 5.70529E-03 0.035370 9 7 10.0 90.0 90.0 1.20826E-01 8.50815E-03 6.26069E-03 1.47688E-02 5.68939E-03 0.051816 8 1 20.0 0.0 180.0 6.39329E-02 8.68407E-03 1.55216E-03 1.02362E-02 5.80703E-03 0.024278 8 4 20.0 45.0 135.0 7.11745E-02 8.59080E-03 1.81610E-03 1.04069E-02 5.74466E-03 0.025516 8 7 20.0 90.0 90.0 1.04659E-01 8.57429E-03 3.84625E-03 1.24205E-02 5.73362E-03 0.036750 7 1 30.0 0.0 180.0 5.54332E-02 8.84910E-03 1.33441E-03 1.01835E-02 5.91739E-03 0.024072 7 4 30.0 45.0 135.0 6.14512E-02 8.82725E-03 1.49785E-03 1.03251E-02 5.90277E-03 0.024375 7 7 30.0 90.0 90.0 8.96620E-02 8.77097E-03 2.52866E-03 1.12996E-02 5.86514E-03 0.028202 6 1 40.0 0.0 180.0 5.26166E-02 8.99940E-03 1.48370E-03 1.04831E-02 6.01789E-03 0.028198 6 4 40.0 45.0 135.0 5.75335E-02 8.96462E-03 1.60916E-03 1.05738E-02 5.99463E-03 0.027969 6 7 40.0 90.0 90.0 8.07761E-02 8.93574E-03 2.32762E-03 1.12634E-02 5.97532E-03 0.028816 5 1 50.0 0.0 180.0 5.51668E-02 9.19273E-03 2.34374E-03 1.15365E-02 6.14717E-03 0.042485 5 4 50.0 45.0 135.0 5.87877E-02 9.11048E-03 2.44175E-03 1.15522E-02 6.09217E-03 0.041535 5 7 50.0 90.0 90.0 7.81434E-02 9.12087E-03 3.15670E-03 1.22776E-02 6.09912E-03 0.040396 4 1 60.0 0.0 180.0 6.54838E-02 9.13626E-03 5.45982E-03 1.45961E-02 6.10941E-03 0.083377 4 4 60.0 45.0 135.0 6.69658E-02 9.04507E-03 5.39147E-03 1.44365E-02 6.04843E-03 0.080511 4 7 60.0 90.0 90.0 8.26940E-02 9.19503E-03 6.29602E-03 1.54910E-02 6.14871E-03 0.076136 3 1 70.0 0.0 180.0 9.08593E-02 8.54938E-03 1.50815E-02 2.36309E-02 5.71697E-03 0.165987 3 4 70.0 45.0 135.0 8.83020E-02 8.55941E-03 1.45112E-02 2.30706E-02 5.72367E-03 0.164336 3 7 70.0 90.0 90.0 9.87195E-02 8.73461E-03 1.57802E-02 2.45148E-02 5.84083E-03 0.159849 2 1 80.0 0.0 180.0 1.54371E-01 7.37516E-03 3.74880E-02 4.48632E-02 4.93176E-03 0.242843 2 4 80.0 45.0 135.0 1.42945E-01 7.36914E-03 3.62587E-02 4.36279E-02 4.92774E-03 0.253655 2 7 80.0 90.0 90.0 1.42017E-01 7.54650E-03 3.79727E-02 4.55192E-02 5.04634E-03 0.267382 1 1 87.5 0.0 180.0 2.49590E-01 5.97463E-03 6.61154E-02 7.20900E-02 3.99523E-03 0.264896 1 4 87.5 45.0 135.0 2.24725E-01 5.68577E-03 6.57072E-02 7.13929E-02 3.80207E-03 0.292389 1 7 87.5 90.0 90.0 2.04450E-01 6.46243E-03 6.72470E-02 7.37094E-02 4.32142E-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 1.691E-02 1.319E-01 1.608E-01 1.391E-01 2.078E-01 1.131E-02 4.775E+00 8.422E-03 5.632E-03 1 0.00 0.00 1.562E-02 2.457E-01 3.067E-02 3.600E-02 4.940E-02 1.055E-02 4.192E+00 3 3.67 5.00 6.744E-03 3.343E-01 1.766E-02 2.272E-02 3.487E-02 1.087E-02 4.625E+00 5 7.33 10.00 2.655E-03 1.652E-01 8.146E-03 1.017E-02 1.428E-02 1.098E-02 4.774E+00 Waveband 11 of 40 completed in 3.9 sec. * * * * * Output for wavelength band 12 (460.0 to 470.0 nm; nominal wavelength = 465.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 465.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 460.0 nm to 470.0 nm: Ed(diffuse) = 4.757E-01 Ed(direct) = 1.013E+00 Ed(total) = 1.489E+00 Absorption Coefficients of Individual Components at 465.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0101 0.0928 0.0145 0.1174 3 3.580 5.000 0.0101 0.0928 0.0145 0.1174 5 7.161 10.000 0.0101 0.0928 0.0145 0.1174 Scattering Coefficients of Individual Components at 465.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0040 0.5947 0.0000 0.5987 3 3.580 5.000 0.0040 0.5947 0.0000 0.5987 5 7.161 10.000 0.0040 0.5947 0.0000 0.5987 Backscattering Coefficients of Individual Components at 465.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00198 0.01189 0.00000 0.01387 3 3.580 5.000 0.00198 0.01189 0.00000 0.01387 5 7.161 10.000 0.00198 0.01189 0.00000 0.01387 Summary of Inherent Optical Properties at 465.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1174 0.5987 0.7161 0.8360 0.01387 0.02317 3 3.580 5.000 0.1174 0.5987 0.7161 0.8360 0.01387 0.02317 5 7.161 10.000 0.1174 0.5987 0.7161 0.8360 0.01387 0.02317 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4422E-01 8 20.00 8.1043E-01 7 30.00 6.3652E-01 6 40.00 4.6486E-01 5 50.00 3.2187E-01 4 60.00 2.1590E-01 3 70.00 1.4334E-01 2 80.00 9.6364E-02 1 87.50 7.2285E-02 1 92.50 5.9305E-02 2 100.00 4.6153E-02 3 110.00 3.4525E-02 4 120.00 2.7004E-02 5 130.00 2.2180E-02 6 140.00 1.9085E-02 7 150.00 1.7122E-02 8 160.00 1.5925E-02 9 170.00 1.5279E-02 10 180.00 1.5052E-02 Asymptotic AOP values are MUu(inf) = 0.3811 MUd(inf) = 0.7079 MU(inf) = 0.6093 R(inf) = 0.0536 Lu(inf)/Ed(inf) = 0.010910 (1/sr) k(inf) = 0.1927 (1/m) absorp(check) = 0.1174 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 465.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.1105E-01 2.1311E+00 2.3422E+00 8.0053E-02 1.4892E+00 0.3793 0.6988 0.6016 5.3756E-02 1 0.00 0.00 1.5419E-01 1.7292E+00 1.8834E+00 6.5435E-02 1.4746E+00 0.4244 0.8528 0.7482 4.4376E-02 3 3.58 5.00 8.1084E-02 8.3902E-01 9.2010E-01 3.2038E-02 6.3610E-01 0.3951 0.7581 0.6565 5.0366E-02 5 7.16 10.00 3.4673E-02 3.5066E-01 3.8534E-01 1.3424E-02 2.5551E-01 0.3872 0.7287 0.6283 5.2538E-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 0.08263 0.11474 0.11211 0.10773 0.15425 0.15641 0.14418 5.000 5.010 5.005 0.15797 0.16530 0.16465 0.16446 0.17757 0.17827 0.17452 10.000 10.010 10.005 0.17850 0.18116 0.18092 0.18093 0.18604 0.18633 0.18491 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 465.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.28363E-01 8.40481E-03 8.42910E-03 1.68339E-02 5.64387E-03 0.065666 9 1 10.0 0.0 180.0 7.92052E-02 8.55139E-03 2.69613E-03 1.12475E-02 5.74231E-03 0.034040 9 4 10.0 45.0 135.0 8.70251E-02 8.51244E-03 3.10798E-03 1.16204E-02 5.71615E-03 0.035714 9 7 10.0 90.0 90.0 1.17578E-01 8.49114E-03 6.19937E-03 1.46905E-02 5.70185E-03 0.052726 8 1 20.0 0.0 180.0 6.22146E-02 8.66218E-03 1.51161E-03 1.01738E-02 5.81670E-03 0.024297 8 4 20.0 45.0 135.0 6.92616E-02 8.57074E-03 1.77032E-03 1.03411E-02 5.75530E-03 0.025560 8 7 20.0 90.0 90.0 1.01846E-01 8.55830E-03 3.78355E-03 1.23419E-02 5.74695E-03 0.037150 7 1 30.0 0.0 180.0 5.39434E-02 8.82618E-03 1.29855E-03 1.01247E-02 5.92683E-03 0.024072 7 4 30.0 45.0 135.0 5.98005E-02 8.80661E-03 1.45774E-03 1.02643E-02 5.91369E-03 0.024377 7 7 30.0 90.0 90.0 8.72468E-02 8.75613E-03 2.46870E-03 1.12248E-02 5.87979E-03 0.028296 6 1 40.0 0.0 180.0 5.12025E-02 8.97598E-03 1.44382E-03 1.04198E-02 6.02742E-03 0.028198 6 4 40.0 45.0 135.0 5.59872E-02 8.94426E-03 1.56591E-03 1.05102E-02 6.00612E-03 0.027969 6 7 40.0 90.0 90.0 7.86051E-02 8.92314E-03 2.26558E-03 1.11887E-02 5.99194E-03 0.028822 5 1 50.0 0.0 180.0 5.36841E-02 9.16911E-03 2.28075E-03 1.14499E-02 6.15711E-03 0.042485 5 4 50.0 45.0 135.0 5.72076E-02 9.09062E-03 2.37612E-03 1.14667E-02 6.10440E-03 0.041535 5 7 50.0 90.0 90.0 7.60432E-02 9.11032E-03 3.07186E-03 1.21822E-02 6.11763E-03 0.040396 4 1 60.0 0.0 180.0 6.37239E-02 9.11316E-03 5.31308E-03 1.44262E-02 6.11954E-03 0.083377 4 4 60.0 45.0 135.0 6.51660E-02 9.02622E-03 5.24657E-03 1.42728E-02 6.06116E-03 0.080511 4 7 60.0 90.0 90.0 8.04715E-02 9.18661E-03 6.12680E-03 1.53134E-02 6.16886E-03 0.076136 3 1 70.0 0.0 180.0 8.84173E-02 8.52815E-03 1.46761E-02 2.32043E-02 5.72670E-03 0.165987 3 4 70.0 45.0 135.0 8.59287E-02 8.54238E-03 1.41212E-02 2.26635E-02 5.73625E-03 0.164336 3 7 70.0 90.0 90.0 9.60663E-02 8.72857E-03 1.53561E-02 2.40847E-02 5.86129E-03 0.159849 2 1 80.0 0.0 180.0 1.50222E-01 7.35708E-03 3.64805E-02 4.38376E-02 4.94032E-03 0.242843 2 4 80.0 45.0 135.0 1.39103E-01 7.35501E-03 3.52842E-02 4.26392E-02 4.93893E-03 0.253655 2 7 80.0 90.0 90.0 1.38200E-01 7.54260E-03 3.69522E-02 4.44948E-02 5.06489E-03 0.267382 1 1 87.5 0.0 180.0 2.42882E-01 5.96003E-03 6.43384E-02 7.02985E-02 4.00219E-03 0.264896 1 4 87.5 45.0 135.0 2.18685E-01 5.67510E-03 6.39412E-02 6.96163E-02 3.81086E-03 0.292389 1 7 87.5 90.0 90.0 1.98955E-01 6.45988E-03 6.54396E-02 7.18995E-02 4.33784E-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 1.683E-02 1.284E-01 1.566E-01 1.354E-01 2.023E-01 1.130E-02 4.755E+00 8.405E-03 5.644E-03 1 0.00 0.00 1.559E-02 2.391E-01 3.056E-02 3.595E-02 4.946E-02 1.057E-02 4.198E+00 3 3.58 5.00 6.921E-03 3.383E-01 1.803E-02 2.326E-02 3.585E-02 1.088E-02 4.629E+00 5 7.16 10.00 2.807E-03 1.733E-01 8.577E-03 1.075E-02 1.520E-02 1.099E-02 4.782E+00 Waveband 12 of 40 completed in 3.8 sec. * * * * * Output for wavelength band 13 (470.0 to 480.0 nm; nominal wavelength = 475.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 475.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 470.0 nm to 480.0 nm: Ed(diffuse) = 4.727E-01 Ed(direct) = 1.039E+00 Ed(total) = 1.512E+00 Absorption Coefficients of Individual Components at 475.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0114 0.0856 0.0126 0.1096 3 3.477 5.000 0.0114 0.0856 0.0126 0.1096 5 6.954 10.000 0.0114 0.0856 0.0126 0.1096 Scattering Coefficients of Individual Components at 475.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0036 0.5822 0.0000 0.5858 3 3.477 5.000 0.0036 0.5822 0.0000 0.5858 5 6.954 10.000 0.0036 0.5822 0.0000 0.5858 Backscattering Coefficients of Individual Components at 475.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00180 0.01164 0.00000 0.01345 3 3.477 5.000 0.00180 0.01164 0.00000 0.01345 5 6.954 10.000 0.00180 0.01164 0.00000 0.01345 Summary of Inherent Optical Properties at 475.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1096 0.5858 0.6954 0.8424 0.01345 0.02295 3 3.477 5.000 0.1096 0.5858 0.6954 0.8424 0.01345 0.02295 5 6.954 10.000 0.1096 0.5858 0.6954 0.8424 0.01345 0.02295 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4576E-01 8 20.00 8.1523E-01 7 30.00 6.4448E-01 6 40.00 4.7446E-01 5 50.00 3.3139E-01 4 60.00 2.2419E-01 3 70.00 1.5001E-01 2 80.00 1.0150E-01 1 87.50 7.6427E-02 1 92.50 6.2827E-02 2 100.00 4.9001E-02 3 110.00 3.6720E-02 4 120.00 2.8735E-02 5 130.00 2.3592E-02 6 140.00 2.0281E-02 7 150.00 1.8174E-02 8 160.00 1.6886E-02 9 170.00 1.6190E-02 10 180.00 1.5945E-02 Asymptotic AOP values are MUu(inf) = 0.3812 MUd(inf) = 0.7041 MU(inf) = 0.6024 R(inf) = 0.0560 Lu(inf)/Ed(inf) = 0.011365 (1/sr) k(inf) = 0.1820 (1/m) absorp(check) = 0.1096 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 475.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.1421E-01 2.1546E+00 2.3689E+00 8.2114E-02 1.5117E+00 0.3833 0.7016 0.6035 5.4320E-02 1 0.00 0.00 1.6305E-01 1.7599E+00 1.9230E+00 6.9295E-02 1.4988E+00 0.4250 0.8517 0.7434 4.6232E-02 3 3.48 5.00 9.0144E-02 8.9962E-01 9.8976E-01 3.5694E-02 6.8117E-01 0.3960 0.7572 0.6522 5.2400E-02 5 6.95 10.00 4.0774E-02 3.9771E-01 4.3849E-01 1.5809E-02 2.8900E-01 0.3877 0.7266 0.6230 5.4702E-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 0.07670 0.10688 0.10432 0.09995 0.14469 0.14686 0.13501 5.000 5.010 5.005 0.14685 0.15415 0.15348 0.15349 0.16673 0.16747 0.16377 10.000 10.010 10.005 0.16725 0.16993 0.16968 0.16982 0.17507 0.17538 0.17401 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 475.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.27561E-01 8.89241E-03 8.53835E-03 1.74308E-02 5.88246E-03 0.066936 9 1 10.0 0.0 180.0 7.87103E-02 9.04157E-03 2.70103E-03 1.17426E-02 5.98113E-03 0.034316 9 4 10.0 45.0 135.0 8.64814E-02 9.00251E-03 3.11653E-03 1.21190E-02 5.95529E-03 0.036037 9 7 10.0 90.0 90.0 1.16844E-01 8.98515E-03 6.26082E-03 1.52460E-02 5.94381E-03 0.053583 8 1 20.0 0.0 180.0 6.18259E-02 9.15670E-03 1.50327E-03 1.06600E-02 6.05729E-03 0.024315 8 4 20.0 45.0 135.0 6.88288E-02 9.06358E-03 1.76211E-03 1.08257E-02 5.99569E-03 0.025601 8 7 20.0 90.0 90.0 1.01210E-01 9.05890E-03 3.79801E-03 1.28569E-02 5.99259E-03 0.037526 7 1 30.0 0.0 180.0 5.36063E-02 9.32910E-03 1.29043E-03 1.06195E-02 6.17134E-03 0.024072 7 4 30.0 45.0 135.0 5.94277E-02 9.31336E-03 1.44877E-03 1.07621E-02 6.16092E-03 0.024379 7 7 30.0 90.0 90.0 8.66965E-02 9.27169E-03 2.46077E-03 1.17325E-02 6.13336E-03 0.028384 6 1 40.0 0.0 180.0 5.08826E-02 9.48785E-03 1.43480E-03 1.09227E-02 6.27635E-03 0.028198 6 4 40.0 45.0 135.0 5.56374E-02 9.46082E-03 1.55613E-03 1.10170E-02 6.25847E-03 0.027969 6 7 40.0 90.0 90.0 7.81140E-02 9.45381E-03 2.25191E-03 1.17057E-02 6.25383E-03 0.028829 5 1 50.0 0.0 180.0 5.33487E-02 9.69306E-03 2.26650E-03 1.19596E-02 6.41210E-03 0.042485 5 4 50.0 45.0 135.0 5.68502E-02 9.61765E-03 2.36127E-03 1.19789E-02 6.36222E-03 0.041535 5 7 50.0 90.0 90.0 7.55680E-02 9.65619E-03 3.05267E-03 1.27089E-02 6.38771E-03 0.040396 4 1 60.0 0.0 180.0 6.33257E-02 9.63498E-03 5.27988E-03 1.49149E-02 6.37368E-03 0.083377 4 4 60.0 45.0 135.0 6.47589E-02 9.55138E-03 5.21379E-03 1.47652E-02 6.31838E-03 0.080511 4 7 60.0 90.0 90.0 7.99687E-02 9.74050E-03 6.08852E-03 1.58290E-02 6.44348E-03 0.076136 3 1 70.0 0.0 180.0 8.78649E-02 9.01713E-03 1.45844E-02 2.36016E-02 5.96496E-03 0.165987 3 4 70.0 45.0 135.0 8.53918E-02 9.04053E-03 1.40329E-02 2.30735E-02 5.98044E-03 0.164336 3 7 70.0 90.0 90.0 9.54660E-02 9.25670E-03 1.52602E-02 2.45169E-02 6.12344E-03 0.159849 2 1 80.0 0.0 180.0 1.49284E-01 7.77902E-03 3.62526E-02 4.40316E-02 5.14593E-03 0.242843 2 4 80.0 45.0 135.0 1.38234E-01 7.78429E-03 3.50637E-02 4.28480E-02 5.14942E-03 0.253655 2 7 80.0 90.0 90.0 1.37336E-01 7.99955E-03 3.67213E-02 4.47208E-02 5.29182E-03 0.267382 1 1 87.5 0.0 180.0 2.41364E-01 6.30132E-03 6.39364E-02 7.02377E-02 4.16841E-03 0.264896 1 4 87.5 45.0 135.0 2.17319E-01 6.00590E-03 6.35417E-02 6.95476E-02 3.97299E-03 0.292389 1 7 87.5 90.0 90.0 1.97712E-01 6.85046E-03 6.50307E-02 7.18812E-02 4.53168E-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 1.743E-02 1.276E-01 1.558E-01 1.348E-01 2.013E-01 1.153E-02 4.711E+00 8.892E-03 5.882E-03 1 0.00 0.00 1.649E-02 2.376E-01 3.218E-02 3.791E-02 5.211E-02 1.100E-02 4.202E+00 3 3.48 5.00 7.707E-03 3.565E-01 1.984E-02 2.562E-02 3.957E-02 1.131E-02 4.631E+00 5 6.95 10.00 3.301E-03 1.934E-01 9.982E-03 1.255E-02 1.783E-02 1.142E-02 4.789E+00 Waveband 13 of 40 completed in 3.7 sec. * * * * * Output for wavelength band 14 (480.0 to 490.0 nm; nominal wavelength = 485.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 485.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 480.0 nm to 490.0 nm: Ed(diffuse) = 4.491E-01 Ed(direct) = 1.015E+00 Ed(total) = 1.464E+00 Absorption Coefficients of Individual Components at 485.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0136 0.0794 0.0110 0.1040 3 3.387 5.000 0.0136 0.0794 0.0110 0.1040 5 6.775 10.000 0.0136 0.0794 0.0110 0.1040 Scattering Coefficients of Individual Components at 485.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0033 0.5702 0.0000 0.5735 3 3.387 5.000 0.0033 0.5702 0.0000 0.5735 5 6.775 10.000 0.0033 0.5702 0.0000 0.5735 Backscattering Coefficients of Individual Components at 485.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00165 0.01140 0.00000 0.01305 3 3.387 5.000 0.00165 0.01140 0.00000 0.01305 5 6.775 10.000 0.00165 0.01140 0.00000 0.01305 Summary of Inherent Optical Properties at 485.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1040 0.5735 0.6775 0.8465 0.01305 0.02276 3 3.387 5.000 0.1040 0.5735 0.6775 0.8465 0.01305 0.02276 5 6.775 10.000 0.1040 0.5735 0.6775 0.8465 0.01305 0.02276 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4676E-01 8 20.00 8.1837E-01 7 30.00 6.4971E-01 6 40.00 4.8081E-01 5 50.00 3.3773E-01 4 60.00 2.2976E-01 3 70.00 1.5450E-01 2 80.00 1.0497E-01 1 87.50 7.9239E-02 1 92.50 6.5220E-02 2 100.00 5.0934E-02 3 110.00 3.8206E-02 4 120.00 2.9902E-02 5 130.00 2.4538E-02 6 140.00 2.1077E-02 7 150.00 1.8870E-02 8 160.00 1.7519E-02 9 170.00 1.6788E-02 10 180.00 1.6531E-02 Asymptotic AOP values are MUu(inf) = 0.3812 MUd(inf) = 0.7016 MU(inf) = 0.5978 R(inf) = 0.0576 Lu(inf)/Ed(inf) = 0.011654 (1/sr) k(inf) = 0.1739 (1/m) absorp(check) = 0.1040 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 485.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.0688E-01 2.0794E+00 2.2863E+00 7.9967E-02 1.4641E+00 0.3865 0.7041 0.6054 5.4619E-02 1 0.00 0.00 1.6201E-01 1.7073E+00 1.8693E+00 6.8912E-02 1.4530E+00 0.4254 0.8511 0.7404 4.7427E-02 3 3.39 5.00 9.2919E-02 9.0669E-01 9.9961E-01 3.6847E-02 6.8638E-01 0.3965 0.7570 0.6498 5.3683E-02 5 6.77 10.00 4.3836E-02 4.1802E-01 4.6186E-01 1.7011E-02 3.0335E-01 0.3881 0.7257 0.6200 5.6076E-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 0.07227 0.10119 0.09868 0.09433 0.13766 0.13981 0.12829 5.000 5.010 5.005 0.13856 0.14585 0.14518 0.14531 0.15865 0.15941 0.15575 10.000 10.010 10.005 0.15881 0.16152 0.16126 0.16147 0.16686 0.16718 0.16583 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 485.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.21185E-01 8.83404E-03 8.25403E-03 1.70881E-02 6.03378E-03 0.068111 9 1 10.0 0.0 180.0 7.47760E-02 8.97775E-03 2.58514E-03 1.15629E-02 6.13193E-03 0.034572 9 4 10.0 45.0 135.0 8.21586E-02 8.94056E-03 2.98536E-03 1.19259E-02 6.10654E-03 0.036337 9 7 10.0 90.0 90.0 1.11003E-01 8.92722E-03 6.03602E-03 1.49632E-02 6.09742E-03 0.054377 8 1 20.0 0.0 180.0 5.87355E-02 9.09056E-03 1.42909E-03 1.05197E-02 6.20899E-03 0.024331 8 4 20.0 45.0 135.0 6.53884E-02 9.00076E-03 1.67654E-03 1.06773E-02 6.14765E-03 0.025640 8 7 20.0 90.0 90.0 9.61506E-02 9.00253E-03 3.64169E-03 1.26442E-02 6.14886E-03 0.037875 7 1 30.0 0.0 180.0 5.09268E-02 9.26100E-03 1.22593E-03 1.04869E-02 6.32540E-03 0.024072 7 4 30.0 45.0 135.0 5.64580E-02 9.24908E-03 1.37647E-03 1.06255E-02 6.31726E-03 0.024380 7 7 30.0 90.0 90.0 8.23585E-02 9.21659E-03 2.34436E-03 1.15609E-02 6.29507E-03 0.028465 6 1 40.0 0.0 180.0 4.83392E-02 9.41892E-03 1.36308E-03 1.07820E-02 6.43326E-03 0.028198 6 4 40.0 45.0 135.0 5.28563E-02 9.39696E-03 1.47835E-03 1.08753E-02 6.41827E-03 0.027969 6 7 40.0 90.0 90.0 7.42095E-02 9.40173E-03 2.13978E-03 1.15415E-02 6.42152E-03 0.028834 5 1 50.0 0.0 180.0 5.06821E-02 9.62345E-03 2.15321E-03 1.17767E-02 6.57296E-03 0.042485 5 4 50.0 45.0 135.0 5.40086E-02 9.55431E-03 2.24325E-03 1.17976E-02 6.52574E-03 0.041535 5 7 50.0 90.0 90.0 7.17908E-02 9.60628E-03 2.90008E-03 1.25064E-02 6.56123E-03 0.040396 4 1 60.0 0.0 180.0 6.01604E-02 9.56664E-03 5.01597E-03 1.45826E-02 6.53416E-03 0.083377 4 4 60.0 45.0 135.0 6.15219E-02 9.48996E-03 4.95318E-03 1.44431E-02 6.48178E-03 0.080511 4 7 60.0 90.0 90.0 7.59715E-02 9.69302E-03 5.78419E-03 1.54772E-02 6.62048E-03 0.076136 3 1 70.0 0.0 180.0 8.34730E-02 8.95377E-03 1.38554E-02 2.28092E-02 6.11556E-03 0.165987 3 4 70.0 45.0 135.0 8.11235E-02 8.98341E-03 1.33315E-02 2.23149E-02 6.13580E-03 0.164336 3 7 70.0 90.0 90.0 9.06942E-02 9.21341E-03 1.44974E-02 2.37108E-02 6.29290E-03 0.159849 2 1 80.0 0.0 180.0 1.41822E-01 7.72456E-03 3.44405E-02 4.21650E-02 5.27599E-03 0.242843 2 4 80.0 45.0 135.0 1.31324E-01 7.73557E-03 3.33111E-02 4.10467E-02 5.28351E-03 0.253655 2 7 80.0 90.0 90.0 1.30472E-01 7.96297E-03 3.48858E-02 4.28487E-02 5.43883E-03 0.267382 1 1 87.5 0.0 180.0 2.29300E-01 6.25695E-03 6.07406E-02 6.69975E-02 4.27359E-03 0.264896 1 4 87.5 45.0 135.0 2.06456E-01 5.96816E-03 6.03656E-02 6.63337E-02 4.07634E-03 0.292389 1 7 87.5 90.0 90.0 1.87830E-01 6.81896E-03 6.17802E-02 6.85992E-02 4.65745E-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 1.709E-02 1.212E-01 1.481E-01 1.282E-01 1.914E-01 1.167E-02 4.680E+00 8.834E-03 6.034E-03 1 0.00 0.00 1.638E-02 2.257E-01 3.187E-02 3.760E-02 5.170E-02 1.128E-02 4.206E+00 3 3.39 5.00 7.953E-03 3.542E-01 2.029E-02 2.624E-02 4.061E-02 1.159E-02 4.633E+00 5 6.77 10.00 3.547E-03 2.008E-01 1.064E-02 1.342E-02 1.917E-02 1.169E-02 4.795E+00 Waveband 14 of 40 completed in 3.6 sec. * * * * * Output for wavelength band 15 (490.0 to 500.0 nm; nominal wavelength = 495.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 495.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 490.0 nm to 500.0 nm: Ed(diffuse) = 4.478E-01 Ed(direct) = 1.039E+00 Ed(total) = 1.487E+00 Absorption Coefficients of Individual Components at 495.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0173 0.0732 0.0095 0.1001 3 3.309 5.000 0.0173 0.0732 0.0095 0.1001 5 6.617 10.000 0.0173 0.0732 0.0095 0.1001 Scattering Coefficients of Individual Components at 495.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0030 0.5587 0.0000 0.5617 3 3.309 5.000 0.0030 0.5587 0.0000 0.5617 5 6.617 10.000 0.0030 0.5587 0.0000 0.5617 Backscattering Coefficients of Individual Components at 495.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00151 0.01117 0.00000 0.01268 3 3.309 5.000 0.00151 0.01117 0.00000 0.01268 5 6.617 10.000 0.00151 0.01117 0.00000 0.01268 Summary of Inherent Optical Properties at 495.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1001 0.5617 0.6617 0.8488 0.01268 0.02258 3 3.309 5.000 0.1001 0.5617 0.6617 0.8488 0.01268 0.02258 5 6.617 10.000 0.1001 0.5617 0.6617 0.8488 0.01268 0.02258 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4731E-01 8 20.00 8.2010E-01 7 30.00 6.5260E-01 6 40.00 4.8433E-01 5 50.00 3.4125E-01 4 60.00 2.3285E-01 3 70.00 1.5700E-01 2 80.00 1.0690E-01 1 87.50 8.0786E-02 1 92.50 6.6529E-02 2 100.00 5.1983E-02 3 110.00 3.9002E-02 4 120.00 3.0517E-02 5 130.00 2.5028E-02 6 140.00 2.1482E-02 7 150.00 1.9218E-02 8 160.00 1.7831E-02 9 170.00 1.7080E-02 10 180.00 1.6816E-02 Asymptotic AOP values are MUu(inf) = 0.3811 MUd(inf) = 0.7002 MU(inf) = 0.5955 R(inf) = 0.0584 Lu(inf)/Ed(inf) = 0.011784 (1/sr) k(inf) = 0.1680 (1/m) absorp(check) = 0.1001 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 495.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.0875E-01 2.1044E+00 2.3131E+00 8.1212E-02 1.4866E+00 0.3890 0.7064 0.6076 5.4629E-02 1 0.00 0.00 1.6633E-01 1.7346E+00 1.9009E+00 7.0760E-02 1.4761E+00 0.4254 0.8510 0.7393 4.7936E-02 3 3.31 5.00 9.7964E-02 9.4658E-01 1.0445E+00 3.8876E-02 7.1710E-01 0.3968 0.7576 0.6493 5.4212E-02 5 6.62 10.00 4.7674E-02 4.5000E-01 4.9767E-01 1.8506E-02 3.2655E-01 0.3882 0.7257 0.6190 5.6672E-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 0.06897 0.09716 0.09469 0.09028 0.13261 0.13474 0.12343 5.000 5.010 5.005 0.13247 0.13983 0.13914 0.13930 0.15276 0.15353 0.14983 10.000 10.010 10.005 0.15255 0.15534 0.15507 0.15529 0.16083 0.16117 0.15977 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 495.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.20839E-01 9.05905E-03 8.36643E-03 1.74255E-02 6.09374E-03 0.069236 9 1 10.0 0.0 180.0 7.45626E-02 9.20319E-03 2.59601E-03 1.17992E-02 6.19070E-03 0.034817 9 4 10.0 45.0 135.0 8.19242E-02 9.16622E-03 3.00032E-03 1.21665E-02 6.16583E-03 0.036623 9 7 10.0 90.0 90.0 1.10686E-01 9.15539E-03 6.10292E-03 1.52583E-02 6.15855E-03 0.055137 8 1 20.0 0.0 180.0 5.85679E-02 9.31781E-03 1.42594E-03 1.07438E-02 6.26780E-03 0.024347 8 4 20.0 45.0 135.0 6.52019E-02 9.22766E-03 1.67414E-03 1.09018E-02 6.20716E-03 0.025676 8 7 20.0 90.0 90.0 9.58762E-02 9.23420E-03 3.66329E-03 1.28975E-02 6.21156E-03 0.038209 7 1 30.0 0.0 180.0 5.07815E-02 9.49206E-03 1.22243E-03 1.07145E-02 6.38502E-03 0.024072 7 4 30.0 45.0 135.0 5.62976E-02 9.48248E-03 1.37266E-03 1.08551E-02 6.37857E-03 0.024382 7 7 30.0 90.0 90.0 8.21193E-02 9.45578E-03 2.34396E-03 1.17997E-02 6.36061E-03 0.028543 6 1 40.0 0.0 180.0 4.82013E-02 9.65424E-03 1.35919E-03 1.10134E-02 6.49411E-03 0.028198 6 4 40.0 45.0 135.0 5.27055E-02 9.63525E-03 1.47413E-03 1.11094E-02 6.48133E-03 0.027969 6 7 40.0 90.0 90.0 7.39977E-02 9.64902E-03 2.13408E-03 1.17831E-02 6.49060E-03 0.028840 5 1 50.0 0.0 180.0 5.05375E-02 9.86458E-03 2.14706E-03 1.20116E-02 6.63560E-03 0.042485 5 4 50.0 45.0 135.0 5.38545E-02 9.79788E-03 2.23684E-03 1.20347E-02 6.59073E-03 0.041535 5 7 50.0 90.0 90.0 7.15860E-02 9.86181E-03 2.89181E-03 1.27536E-02 6.63374E-03 0.040396 4 1 60.0 0.0 180.0 5.99887E-02 9.80707E-03 5.00165E-03 1.48087E-02 6.59691E-03 0.083377 4 4 60.0 45.0 135.0 6.13464E-02 9.73316E-03 4.93904E-03 1.46722E-02 6.54719E-03 0.080511 4 7 60.0 90.0 90.0 7.57547E-02 9.95351E-03 5.76768E-03 1.57212E-02 6.69542E-03 0.076136 3 1 70.0 0.0 180.0 8.32348E-02 9.17942E-03 1.38159E-02 2.29953E-02 6.17471E-03 0.165987 3 4 70.0 45.0 135.0 8.08921E-02 9.21466E-03 1.32935E-02 2.25081E-02 6.19842E-03 0.164336 3 7 70.0 90.0 90.0 9.04354E-02 9.46312E-03 1.44560E-02 2.39191E-02 6.36555E-03 0.159849 2 1 80.0 0.0 180.0 1.41417E-01 7.91956E-03 3.43422E-02 4.22618E-02 5.32724E-03 0.242843 2 4 80.0 45.0 135.0 1.30950E-01 7.93532E-03 3.32161E-02 4.11514E-02 5.33784E-03 0.253655 2 7 80.0 90.0 90.0 1.30099E-01 8.18007E-03 3.47862E-02 4.29663E-02 5.50248E-03 0.267382 1 1 87.5 0.0 180.0 2.28646E-01 6.41490E-03 6.05673E-02 6.69822E-02 4.31510E-03 0.264896 1 4 87.5 45.0 135.0 2.05867E-01 6.12243E-03 6.01933E-02 6.63158E-02 4.11837E-03 0.292389 1 7 87.5 90.0 90.0 1.87294E-01 7.00542E-03 6.16039E-02 6.86093E-02 4.71233E-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 1.743E-02 1.208E-01 1.478E-01 1.280E-01 1.910E-01 1.172E-02 4.661E+00 9.059E-03 6.094E-03 1 0.00 0.00 1.680E-02 2.251E-01 3.263E-02 3.857E-02 5.311E-02 1.138E-02 4.212E+00 3 3.31 5.00 8.385E-03 3.654E-01 2.126E-02 2.755E-02 4.277E-02 1.169E-02 4.636E+00 5 6.62 10.00 3.854E-03 2.145E-01 1.149E-02 1.454E-02 2.089E-02 1.180E-02 4.801E+00 Waveband 15 of 40 completed in 3.6 sec. * * * * * Output for wavelength band 16 (500.0 to 510.0 nm; nominal wavelength = 505.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 505.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 500.0 nm to 510.0 nm: Ed(diffuse) = 4.326E-01 Ed(direct) = 1.028E+00 Ed(total) = 1.460E+00 Absorption Coefficients of Individual Components at 505.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0256 0.0660 0.0083 0.0999 3 3.251 5.000 0.0256 0.0660 0.0083 0.0999 5 6.503 10.000 0.0256 0.0660 0.0083 0.0999 Scattering Coefficients of Individual Components at 505.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0028 0.5476 0.0000 0.5504 3 3.251 5.000 0.0028 0.5476 0.0000 0.5504 5 6.503 10.000 0.0028 0.5476 0.0000 0.5504 Backscattering Coefficients of Individual Components at 505.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00138 0.01095 0.00000 0.01234 3 3.251 5.000 0.00138 0.01095 0.00000 0.01234 5 6.503 10.000 0.00138 0.01095 0.00000 0.01234 Summary of Inherent Optical Properties at 505.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0999 0.5504 0.6503 0.8464 0.01234 0.02241 3 3.251 5.000 0.0999 0.5504 0.6503 0.8464 0.01234 0.02241 5 6.503 10.000 0.0999 0.5504 0.6503 0.8464 0.01234 0.02241 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4673E-01 8 20.00 8.1827E-01 7 30.00 6.4951E-01 6 40.00 4.8052E-01 5 50.00 3.3737E-01 4 60.00 2.2936E-01 3 70.00 1.5410E-01 2 80.00 1.0458E-01 1 87.50 7.8862E-02 1 92.50 6.4854E-02 2 100.00 5.0585E-02 3 110.00 3.7878E-02 4 120.00 2.9592E-02 5 130.00 2.4242E-02 6 140.00 2.0792E-02 7 150.00 1.8592E-02 8 160.00 1.7245E-02 9 170.00 1.6517E-02 10 180.00 1.6260E-02 Asymptotic AOP values are MUu(inf) = 0.3804 MUd(inf) = 0.7019 MU(inf) = 0.5990 R(inf) = 0.0570 Lu(inf)/Ed(inf) = 0.011471 (1/sr) k(inf) = 0.1668 (1/m) absorp(check) = 0.0999 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 505.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.0182E-01 2.0611E+00 2.2630E+00 7.8720E-02 1.4605E+00 0.3900 0.7086 0.6106 5.3900E-02 1 0.00 0.00 1.5951E-01 1.7005E+00 1.8600E+00 6.7767E-02 1.4495E+00 0.4248 0.8524 0.7429 4.6752E-02 3 3.25 5.00 9.4377E-02 9.3159E-01 1.0260E+00 3.7407E-02 7.0791E-01 0.3964 0.7599 0.6535 5.2841E-02 5 6.50 10.00 4.6243E-02 4.4572E-01 4.9196E-01 1.7926E-02 3.2444E-01 0.3877 0.7279 0.6231 5.5253E-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 0.06829 0.09662 0.09419 0.08978 0.13181 0.13387 0.12272 5.000 5.010 5.005 0.13121 0.13868 0.13799 0.13806 0.15153 0.15228 0.14862 10.000 10.010 10.005 0.15113 0.15399 0.15372 0.15391 0.15952 0.15985 0.15845 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 505.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.16731E-01 8.65975E-03 8.20628E-03 1.68660E-02 5.92939E-03 0.070301 9 1 10.0 0.0 180.0 7.20279E-02 8.79747E-03 2.52445E-03 1.13219E-02 6.02369E-03 0.035048 9 4 10.0 45.0 135.0 7.91393E-02 8.76211E-03 2.91979E-03 1.16819E-02 5.99948E-03 0.036894 9 7 10.0 90.0 90.0 1.06924E-01 8.75187E-03 5.97233E-03 1.47242E-02 5.99246E-03 0.055856 8 1 20.0 0.0 180.0 5.65770E-02 8.90708E-03 1.37831E-03 1.02854E-02 6.09874E-03 0.024362 8 4 20.0 45.0 135.0 6.29854E-02 8.82084E-03 1.61942E-03 1.04403E-02 6.03969E-03 0.025711 8 7 20.0 90.0 90.0 9.26170E-02 8.82737E-03 3.56800E-03 1.23954E-02 6.04416E-03 0.038524 7 1 30.0 0.0 180.0 4.90553E-02 9.07371E-03 1.18088E-03 1.02546E-02 6.21283E-03 0.024072 7 4 30.0 45.0 135.0 5.43844E-02 9.06448E-03 1.32610E-03 1.03906E-02 6.20651E-03 0.024384 7 7 30.0 90.0 90.0 7.93238E-02 9.03951E-03 2.27003E-03 1.13095E-02 6.18942E-03 0.028617 6 1 40.0 0.0 180.0 4.65627E-02 9.22885E-03 1.31299E-03 1.05418E-02 6.31906E-03 0.028198 6 4 40.0 45.0 135.0 5.09138E-02 9.21068E-03 1.42402E-03 1.06347E-02 6.30662E-03 0.027969 6 7 40.0 90.0 90.0 7.14822E-02 9.22508E-03 2.06191E-03 1.12870E-02 6.31647E-03 0.028845 5 1 50.0 0.0 180.0 4.88195E-02 9.43017E-03 2.07407E-03 1.15042E-02 6.45690E-03 0.042485 5 4 50.0 45.0 135.0 5.20237E-02 9.36656E-03 2.16080E-03 1.15274E-02 6.41335E-03 0.041535 5 7 50.0 90.0 90.0 6.91524E-02 9.42988E-03 2.79351E-03 1.22234E-02 6.45671E-03 0.040396 4 1 60.0 0.0 180.0 5.79495E-02 9.37555E-03 4.83163E-03 1.42072E-02 6.41950E-03 0.083377 4 4 60.0 45.0 135.0 5.92610E-02 9.30526E-03 4.77115E-03 1.40764E-02 6.37137E-03 0.080511 4 7 60.0 90.0 90.0 7.31795E-02 9.51924E-03 5.57162E-03 1.50909E-02 6.51789E-03 0.076136 3 1 70.0 0.0 180.0 8.04053E-02 8.77617E-03 1.33462E-02 2.21224E-02 6.00911E-03 0.165987 3 4 70.0 45.0 135.0 7.81422E-02 8.81057E-03 1.28416E-02 2.16521E-02 6.03265E-03 0.164336 3 7 70.0 90.0 90.0 8.73611E-02 9.05269E-03 1.39646E-02 2.30173E-02 6.19844E-03 0.159849 2 1 80.0 0.0 180.0 1.36610E-01 7.57234E-03 3.31748E-02 4.07471E-02 5.18483E-03 0.242843 2 4 80.0 45.0 135.0 1.26498E-01 7.58833E-03 3.20869E-02 3.96752E-02 5.19578E-03 0.253655 2 7 80.0 90.0 90.0 1.25677E-01 7.82745E-03 3.36037E-02 4.14312E-02 5.35951E-03 0.267382 1 1 87.5 0.0 180.0 2.20873E-01 6.13440E-03 5.85083E-02 6.46427E-02 4.20027E-03 0.264896 1 4 87.5 45.0 135.0 1.98869E-01 5.85570E-03 5.81471E-02 6.40028E-02 4.00944E-03 0.292389 1 7 87.5 90.0 90.0 1.80927E-01 6.70564E-03 5.95098E-02 6.62154E-02 4.59140E-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 1.687E-02 1.167E-01 1.428E-01 1.236E-01 1.845E-01 1.155E-02 4.667E+00 8.660E-03 5.929E-03 1 0.00 0.00 1.606E-02 2.175E-01 3.125E-02 3.703E-02 5.120E-02 1.108E-02 4.219E+00 3 3.25 5.00 8.057E-03 3.575E-01 2.045E-02 2.658E-02 4.148E-02 1.138E-02 4.643E+00 5 6.50 10.00 3.727E-03 2.127E-01 1.112E-02 1.413E-02 2.043E-02 1.149E-02 4.810E+00 Waveband 16 of 40 completed in 3.6 sec. * * * * * Output for wavelength band 17 (510.0 to 520.0 nm; nominal wavelength = 515.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 515.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 510.0 nm to 520.0 nm: Ed(diffuse) = 4.102E-01 Ed(direct) = 9.960E-01 Ed(total) = 1.406E+00 Absorption Coefficients of Individual Components at 515.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0396 0.0598 0.0072 0.1066 3 3.231 5.000 0.0396 0.0598 0.0072 0.1066 5 6.461 10.000 0.0396 0.0598 0.0072 0.1066 Scattering Coefficients of Individual Components at 515.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0025 0.5370 0.0000 0.5395 3 3.231 5.000 0.0025 0.5370 0.0000 0.5395 5 6.461 10.000 0.0025 0.5370 0.0000 0.5395 Backscattering Coefficients of Individual Components at 515.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00127 0.01074 0.00000 0.01201 3 3.231 5.000 0.00127 0.01074 0.00000 0.01201 5 6.461 10.000 0.00127 0.01074 0.00000 0.01201 Summary of Inherent Optical Properties at 515.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1066 0.5395 0.6461 0.8350 0.01201 0.02226 3 3.231 5.000 0.1066 0.5395 0.6461 0.8350 0.01201 0.02226 5 6.461 10.000 0.1066 0.5395 0.6461 0.8350 0.01201 0.02226 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4399E-01 8 20.00 8.0969E-01 7 30.00 6.3522E-01 6 40.00 4.6316E-01 5 50.00 3.2002E-01 4 60.00 2.1409E-01 3 70.00 1.4168E-01 2 80.00 9.4893E-02 1 87.50 7.0954E-02 1 92.50 5.8064E-02 2 100.00 4.5024E-02 3 110.00 3.3515E-02 4 120.00 2.6083E-02 5 130.00 2.1325E-02 6 140.00 1.8277E-02 7 150.00 1.6345E-02 8 160.00 1.5167E-02 9 170.00 1.4533E-02 10 180.00 1.4310E-02 Asymptotic AOP values are MUu(inf) = 0.3787 MUd(inf) = 0.7091 MU(inf) = 0.6129 R(inf) = 0.0518 Lu(inf)/Ed(inf) = 0.010407 (1/sr) k(inf) = 0.1740 (1/m) absorp(check) = 0.1066 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 515.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.8787E-01 1.9792E+00 2.1671E+00 7.2988E-02 1.4062E+00 0.3885 0.7105 0.6152 5.1903E-02 1 0.00 0.00 1.4043E-01 1.6263E+00 1.7668E+00 5.9404E-02 1.3926E+00 0.4230 0.8563 0.7546 4.2656E-02 3 3.23 5.00 8.0201E-02 8.5731E-01 9.3751E-01 3.1640E-02 6.5621E-01 0.3945 0.7654 0.6662 4.8216E-02 5 6.46 10.00 3.7875E-02 3.9507E-01 4.3294E-01 1.4619E-02 2.9009E-01 0.3860 0.7343 0.6363 5.0394E-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 0.07212 0.10261 0.10019 0.09571 0.13875 0.14067 0.12953 5.000 5.010 5.005 0.13864 0.14632 0.14566 0.14540 0.15875 0.15943 0.15585 10.000 10.010 10.005 0.15846 0.16140 0.16114 0.16119 0.16673 0.16702 0.16567 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 515.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.10700E-01 7.56984E-03 7.89040E-03 1.54602E-02 5.38300E-03 0.071277 9 1 10.0 0.0 180.0 6.83067E-02 7.69502E-03 2.40853E-03 1.01035E-02 5.47201E-03 0.035261 9 4 10.0 45.0 135.0 7.50506E-02 7.66227E-03 2.78762E-03 1.04499E-02 5.44873E-03 0.037143 9 7 10.0 90.0 90.0 1.01400E-01 7.64918E-03 5.73065E-03 1.33798E-02 5.43942E-03 0.056516 8 1 20.0 0.0 180.0 5.36540E-02 7.79254E-03 1.30784E-03 9.10037E-03 5.54136E-03 0.024375 8 4 20.0 45.0 135.0 5.97313E-02 7.71404E-03 1.53765E-03 9.25169E-03 5.48554E-03 0.025743 8 7 20.0 90.0 90.0 8.78321E-02 7.71311E-03 3.40910E-03 1.11222E-02 5.48488E-03 0.038814 7 1 30.0 0.0 180.0 4.65209E-02 7.93911E-03 1.11987E-03 9.05898E-03 5.64559E-03 0.024072 7 4 30.0 45.0 135.0 5.15753E-02 7.92677E-03 1.25768E-03 9.18445E-03 5.63682E-03 0.024385 7 7 30.0 90.0 90.0 7.52222E-02 7.89609E-03 2.15775E-03 1.00538E-02 5.61500E-03 0.028685 6 1 40.0 0.0 180.0 4.41571E-02 8.07451E-03 1.24515E-03 9.31966E-03 5.74188E-03 0.028198 6 4 40.0 45.0 135.0 4.82834E-02 8.05313E-03 1.35045E-03 9.40357E-03 5.72667E-03 0.027969 6 7 40.0 90.0 90.0 6.77892E-02 8.05503E-03 1.95571E-03 1.00107E-02 5.72803E-03 0.028850 5 1 50.0 0.0 180.0 4.62973E-02 8.25001E-03 1.96692E-03 1.02169E-02 5.86667E-03 0.042485 5 4 50.0 45.0 135.0 4.93360E-02 8.18827E-03 2.04917E-03 1.02374E-02 5.82278E-03 0.041535 5 7 50.0 90.0 90.0 6.55798E-02 8.23271E-03 2.64918E-03 1.08819E-02 5.85437E-03 0.040396 4 1 60.0 0.0 180.0 5.49556E-02 8.20178E-03 4.58201E-03 1.27838E-02 5.83238E-03 0.083377 4 4 60.0 45.0 135.0 5.61993E-02 8.13396E-03 4.52465E-03 1.26586E-02 5.78415E-03 0.080511 4 7 60.0 90.0 90.0 6.93988E-02 8.31063E-03 5.28376E-03 1.35944E-02 5.90978E-03 0.076136 3 1 70.0 0.0 180.0 7.62513E-02 7.67790E-03 1.26567E-02 2.03346E-02 5.45984E-03 0.165987 3 4 70.0 45.0 135.0 7.41051E-02 7.70222E-03 1.21781E-02 1.98803E-02 5.47714E-03 0.164336 3 7 70.0 90.0 90.0 8.28477E-02 7.90598E-03 1.32431E-02 2.11491E-02 5.62203E-03 0.159849 2 1 80.0 0.0 180.0 1.29552E-01 6.62571E-03 3.14609E-02 3.80866E-02 4.71162E-03 0.242843 2 4 80.0 45.0 135.0 1.19963E-01 6.63510E-03 3.04292E-02 3.70643E-02 4.71829E-03 0.253655 2 7 80.0 90.0 90.0 1.19184E-01 6.83921E-03 3.18676E-02 3.87068E-02 4.86344E-03 0.267382 1 1 87.5 0.0 180.0 2.09462E-01 5.36925E-03 5.54856E-02 6.08548E-02 3.81813E-03 0.264896 1 4 87.5 45.0 135.0 1.88595E-01 5.12216E-03 5.51430E-02 6.02652E-02 3.64242E-03 0.292389 1 7 87.5 90.0 90.0 1.71580E-01 5.86357E-03 5.64353E-02 6.22988E-02 4.16965E-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 1.546E-02 1.107E-01 1.352E-01 1.169E-01 1.747E-01 1.099E-02 4.721E+00 7.570E-03 5.383E-03 1 0.00 0.00 1.404E-02 2.062E-01 2.756E-02 3.278E-02 4.572E-02 1.008E-02 4.231E+00 3 3.23 5.00 6.796E-03 3.305E-01 1.750E-02 2.288E-02 3.602E-02 1.036E-02 4.656E+00 5 6.46 10.00 3.032E-03 1.918E-01 9.165E-03 1.170E-02 1.708E-02 1.045E-02 4.821E+00 Waveband 17 of 40 completed in 3.7 sec. * * * * * Output for wavelength band 18 (520.0 to 530.0 nm; nominal wavelength = 525.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 525.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 520.0 nm to 530.0 nm: Ed(diffuse) = 4.132E-01 Ed(direct) = 1.024E+00 Ed(total) = 1.437E+00 Absorption Coefficients of Individual Components at 525.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0417 0.0516 0.0063 0.0995 3 3.143 5.000 0.0417 0.0516 0.0063 0.0995 5 6.286 10.000 0.0417 0.0516 0.0063 0.0995 Scattering Coefficients of Individual Components at 525.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0023 0.5267 0.0000 0.5291 3 3.143 5.000 0.0023 0.5267 0.0000 0.5291 5 6.286 10.000 0.0023 0.5267 0.0000 0.5291 Backscattering Coefficients of Individual Components at 525.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00117 0.01053 0.00000 0.01170 3 3.143 5.000 0.00117 0.01053 0.00000 0.01170 5 6.286 10.000 0.00117 0.01053 0.00000 0.01170 Summary of Inherent Optical Properties at 525.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0995 0.5291 0.6286 0.8417 0.01170 0.02212 3 3.143 5.000 0.0995 0.5291 0.6286 0.8417 0.01170 0.02212 5 6.286 10.000 0.0995 0.5291 0.6286 0.8417 0.01170 0.02212 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4560E-01 8 20.00 8.1471E-01 7 30.00 6.4354E-01 6 40.00 4.7320E-01 5 50.00 3.2997E-01 4 60.00 2.2276E-01 3 70.00 1.4865E-01 2 80.00 1.0026E-01 1 87.50 7.5286E-02 1 92.50 6.1751E-02 2 100.00 4.8007E-02 3 110.00 3.5816E-02 4 120.00 2.7901E-02 5 130.00 2.2811E-02 6 140.00 1.9538E-02 7 150.00 1.7456E-02 8 160.00 1.6184E-02 9 170.00 1.5498E-02 10 180.00 1.5256E-02 Asymptotic AOP values are MUu(inf) = 0.3791 MUd(inf) = 0.7050 MU(inf) = 0.6054 R(inf) = 0.0544 Lu(inf)/Ed(inf) = 0.010902 (1/sr) k(inf) = 0.1644 (1/m) absorp(check) = 0.0995 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 525.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.9301E-01 2.0178E+00 2.2108E+00 7.5625E-02 1.4373E+00 0.3918 0.7123 0.6159 5.2614E-02 1 0.00 0.00 1.5012E-01 1.6673E+00 1.8174E+00 6.3618E-02 1.4253E+00 0.4238 0.8549 0.7493 4.4634E-02 3 3.14 5.00 8.9572E-02 9.2014E-01 1.0097E+00 3.5431E-02 7.0321E-01 0.3956 0.7642 0.6614 5.0384E-02 5 6.29 10.00 4.4464E-02 4.4565E-01 4.9011E-01 1.7197E-02 3.2629E-01 0.3868 0.7322 0.6307 5.2706E-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 0.06703 0.09566 0.09330 0.08887 0.13028 0.13221 0.12136 5.000 5.010 5.005 0.12882 0.13648 0.13580 0.13569 0.14918 0.14989 0.14628 10.000 10.010 10.005 0.14842 0.15141 0.15114 0.15127 0.15699 0.15731 0.15592 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 525.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.11508E-01 8.10407E-03 8.05409E-03 1.61582E-02 5.63821E-03 0.072229 9 1 10.0 0.0 180.0 6.88052E-02 8.23290E-03 2.44035E-03 1.06733E-02 5.72784E-03 0.035468 9 4 10.0 45.0 135.0 7.55983E-02 8.19973E-03 2.82629E-03 1.10260E-02 5.70476E-03 0.037386 9 7 10.0 90.0 90.0 1.02140E-01 8.19020E-03 5.83812E-03 1.40283E-02 5.69813E-03 0.057158 8 1 20.0 0.0 180.0 5.40455E-02 8.33545E-03 1.31810E-03 9.65355E-03 5.79919E-03 0.024389 8 4 20.0 45.0 135.0 6.01672E-02 8.25459E-03 1.55074E-03 9.80533E-03 5.74293E-03 0.025774 8 7 20.0 90.0 90.0 8.84730E-02 8.26094E-03 3.45894E-03 1.17199E-02 5.74735E-03 0.039096 7 1 30.0 0.0 180.0 4.68604E-02 8.49136E-03 1.12804E-03 9.61939E-03 5.90765E-03 0.024072 7 4 30.0 45.0 135.0 5.19522E-02 8.48249E-03 1.26695E-03 9.74944E-03 5.90149E-03 0.024387 7 7 30.0 90.0 90.0 7.57678E-02 8.45975E-03 2.17841E-03 1.06382E-02 5.88567E-03 0.028751 6 1 40.0 0.0 180.0 4.44793E-02 8.63646E-03 1.25424E-03 9.89069E-03 6.00861E-03 0.028198 6 4 40.0 45.0 135.0 4.86358E-02 8.61928E-03 1.36030E-03 9.97958E-03 5.99665E-03 0.027969 6 7 40.0 90.0 90.0 6.82839E-02 8.63439E-03 1.97030E-03 1.06047E-02 6.00717E-03 0.028855 5 1 50.0 0.0 180.0 4.66351E-02 8.82500E-03 1.98127E-03 1.08063E-02 6.13978E-03 0.042485 5 4 50.0 45.0 135.0 4.96960E-02 8.76555E-03 2.06412E-03 1.08297E-02 6.09842E-03 0.041535 5 7 50.0 90.0 90.0 6.60583E-02 8.82801E-03 2.66852E-03 1.14965E-02 6.14187E-03 0.040396 4 1 60.0 0.0 180.0 5.53566E-02 8.77423E-03 4.61544E-03 1.33897E-02 6.10446E-03 0.083377 4 4 60.0 45.0 135.0 5.66094E-02 8.70886E-03 4.55767E-03 1.32665E-02 6.05898E-03 0.080511 4 7 60.0 90.0 90.0 6.99052E-02 8.91410E-03 5.32232E-03 1.42364E-02 6.20177E-03 0.076136 3 1 70.0 0.0 180.0 7.68077E-02 8.21418E-03 1.27491E-02 2.09633E-02 5.71482E-03 0.165987 3 4 70.0 45.0 135.0 7.46458E-02 8.24733E-03 1.22670E-02 2.05143E-02 5.73788E-03 0.164336 3 7 70.0 90.0 90.0 8.34523E-02 8.48102E-03 1.33398E-02 2.18208E-02 5.90046E-03 0.159849 2 1 80.0 0.0 180.0 1.30497E-01 7.08843E-03 3.16904E-02 3.87789E-02 4.93160E-03 0.242843 2 4 80.0 45.0 135.0 1.20838E-01 7.10475E-03 3.06512E-02 3.77560E-02 4.94296E-03 0.253655 2 7 80.0 90.0 90.0 1.20054E-01 7.33659E-03 3.21002E-02 3.94368E-02 5.10426E-03 0.267382 1 1 87.5 0.0 180.0 2.10990E-01 5.74357E-03 5.58905E-02 6.16340E-02 3.99595E-03 0.264896 1 4 87.5 45.0 135.0 1.89971E-01 5.48410E-03 5.55454E-02 6.10295E-02 3.81543E-03 0.292389 1 7 87.5 90.0 90.0 1.72832E-01 6.28874E-03 5.68471E-02 6.31358E-02 4.37524E-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 1.616E-02 1.115E-01 1.363E-01 1.180E-01 1.762E-01 1.124E-02 4.680E+00 8.104E-03 5.638E-03 1 0.00 0.00 1.503E-02 2.077E-01 2.936E-02 3.494E-02 4.864E-02 1.055E-02 4.233E+00 3 3.14 5.00 7.614E-03 3.489E-01 1.936E-02 2.530E-02 3.985E-02 1.083E-02 4.653E+00 5 6.29 10.00 3.566E-03 2.128E-01 1.065E-02 1.363E-02 1.995E-02 1.093E-02 4.822E+00 Waveband 18 of 40 completed in 3.5 sec. * * * * * Output for wavelength band 19 (530.0 to 540.0 nm; nominal wavelength = 535.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 535.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 530.0 nm to 540.0 nm: Ed(diffuse) = 4.123E-01 Ed(direct) = 1.041E+00 Ed(total) = 1.453E+00 Absorption Coefficients of Individual Components at 535.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0452 0.0454 0.0055 0.0960 3 3.075 5.000 0.0452 0.0454 0.0055 0.0960 5 6.151 10.000 0.0452 0.0454 0.0055 0.0960 Scattering Coefficients of Individual Components at 535.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0022 0.5169 0.0000 0.5191 3 3.075 5.000 0.0022 0.5169 0.0000 0.5191 5 6.151 10.000 0.0022 0.5169 0.0000 0.5191 Backscattering Coefficients of Individual Components at 535.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00108 0.01034 0.00000 0.01142 3 3.075 5.000 0.00108 0.01034 0.00000 0.01142 5 6.151 10.000 0.00108 0.01034 0.00000 0.01142 Summary of Inherent Optical Properties at 535.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0960 0.5191 0.6151 0.8439 0.01142 0.02199 3 3.075 5.000 0.0960 0.5191 0.6151 0.8439 0.01142 0.02199 5 6.151 10.000 0.0960 0.5191 0.6151 0.8439 0.01142 0.02199 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4613E-01 8 20.00 8.1638E-01 7 30.00 6.4632E-01 6 40.00 4.7657E-01 5 50.00 3.3332E-01 4 60.00 2.2568E-01 3 70.00 1.5100E-01 2 80.00 1.0206E-01 1 87.50 7.6732E-02 1 92.50 6.2974E-02 2 100.00 4.8988E-02 3 110.00 3.6562E-02 4 120.00 2.8481E-02 5 130.00 2.3275E-02 6 140.00 1.9924E-02 7 150.00 1.7791E-02 8 160.00 1.6486E-02 9 170.00 1.5781E-02 10 180.00 1.5534E-02 Asymptotic AOP values are MUu(inf) = 0.3790 MUd(inf) = 0.7037 MU(inf) = 0.6031 R(inf) = 0.0552 Lu(inf)/Ed(inf) = 0.011035 (1/sr) k(inf) = 0.1592 (1/m) absorp(check) = 0.0960 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 535.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.9448E-01 2.0355E+00 2.2300E+00 7.6590E-02 1.4533E+00 0.3938 0.7140 0.6174 5.2702E-02 1 0.00 0.00 1.5363E-01 1.6869E+00 1.8405E+00 6.5127E-02 1.4418E+00 0.4239 0.8547 0.7480 4.5170E-02 3 3.08 5.00 9.3796E-02 9.5328E-01 1.0471E+00 3.7137E-02 7.2895E-01 0.3959 0.7647 0.6607 5.0946E-02 5 6.15 10.00 4.7843E-02 4.7424E-01 5.2208E-01 1.8516E-02 3.4720E-01 0.3870 0.7321 0.6296 5.3329E-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 0.06423 0.09214 0.08981 0.08535 0.12586 0.12777 0.11708 5.000 5.010 5.005 0.12353 0.13124 0.13055 0.13045 0.14403 0.14476 0.14110 10.000 10.010 10.005 0.14292 0.14599 0.14571 0.14584 0.15170 0.15203 0.15059 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 535.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.11243E-01 8.28919E-03 8.13347E-03 1.64227E-02 5.70379E-03 0.073114 9 1 10.0 0.0 180.0 6.86415E-02 8.41836E-03 2.44778E-03 1.08661E-02 5.79267E-03 0.035660 9 4 10.0 45.0 135.0 7.54184E-02 8.38536E-03 2.83658E-03 1.12219E-02 5.76996E-03 0.037611 9 7 10.0 90.0 90.0 1.01897E-01 8.37788E-03 5.88520E-03 1.42631E-02 5.76482E-03 0.057757 8 1 20.0 0.0 180.0 5.39169E-02 8.52232E-03 1.31563E-03 9.83795E-03 5.86421E-03 0.024401 8 4 20.0 45.0 135.0 6.00240E-02 8.44117E-03 1.54878E-03 9.98995E-03 5.80836E-03 0.025803 8 7 20.0 90.0 90.0 8.82625E-02 8.45140E-03 3.47390E-03 1.19253E-02 5.81541E-03 0.039359 7 1 30.0 0.0 180.0 4.67489E-02 8.68127E-03 1.12535E-03 9.80662E-03 5.97358E-03 0.024072 7 4 30.0 45.0 135.0 5.18291E-02 8.67433E-03 1.26402E-03 9.93835E-03 5.96881E-03 0.024388 7 7 30.0 90.0 90.0 7.55844E-02 8.65629E-03 2.17779E-03 1.08341E-02 5.95639E-03 0.028813 6 1 40.0 0.0 180.0 4.43735E-02 8.82973E-03 1.25125E-03 1.00810E-02 6.07573E-03 0.028198 6 4 40.0 45.0 135.0 4.85201E-02 8.81498E-03 1.35706E-03 1.01720E-02 6.06558E-03 0.027969 6 7 40.0 90.0 90.0 6.81214E-02 8.83738E-03 1.96591E-03 1.08033E-02 6.08100E-03 0.028859 5 1 50.0 0.0 180.0 4.65242E-02 9.02291E-03 1.97656E-03 1.09995E-02 6.20866E-03 0.042485 5 4 50.0 45.0 135.0 4.95778E-02 8.96545E-03 2.05921E-03 1.10247E-02 6.16912E-03 0.041535 5 7 50.0 90.0 90.0 6.59011E-02 9.03755E-03 2.66217E-03 1.16997E-02 6.21874E-03 0.040396 4 1 60.0 0.0 180.0 5.52249E-02 8.97144E-03 4.60446E-03 1.35759E-02 6.17325E-03 0.083377 4 4 60.0 45.0 135.0 5.64747E-02 8.90832E-03 4.54682E-03 1.34551E-02 6.12981E-03 0.080511 4 7 60.0 90.0 90.0 6.97389E-02 9.12750E-03 5.30966E-03 1.44372E-02 6.28063E-03 0.076136 3 1 70.0 0.0 180.0 7.66250E-02 8.39915E-03 1.27188E-02 2.11179E-02 5.77946E-03 0.165987 3 4 70.0 45.0 135.0 7.44683E-02 8.43685E-03 1.22378E-02 2.06746E-02 5.80539E-03 0.164336 3 7 70.0 90.0 90.0 8.32537E-02 8.68536E-03 1.33080E-02 2.19934E-02 5.97639E-03 0.159849 2 1 80.0 0.0 180.0 1.30187E-01 7.24819E-03 3.16150E-02 3.88632E-02 4.98748E-03 0.242843 2 4 80.0 45.0 135.0 1.20551E-01 7.26835E-03 3.05783E-02 3.78466E-02 5.00135E-03 0.253655 2 7 80.0 90.0 90.0 1.19768E-01 7.51407E-03 3.20238E-02 3.95379E-02 5.17043E-03 0.267382 1 1 87.5 0.0 180.0 2.10488E-01 5.87292E-03 5.57575E-02 6.16304E-02 4.04115E-03 0.264896 1 4 87.5 45.0 135.0 1.89519E-01 5.61037E-03 5.54132E-02 6.10236E-02 3.86050E-03 0.292389 1 7 87.5 90.0 90.0 1.72420E-01 6.44101E-03 5.67118E-02 6.31528E-02 4.43206E-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 1.642E-02 1.112E-01 1.361E-01 1.178E-01 1.759E-01 1.130E-02 4.664E+00 8.289E-03 5.704E-03 1 0.00 0.00 1.537E-02 2.072E-01 2.997E-02 3.572E-02 4.977E-02 1.066E-02 4.236E+00 3 3.08 5.00 7.980E-03 3.574E-01 2.016E-02 2.638E-02 4.163E-02 1.095E-02 4.654E+00 5 6.15 10.00 3.837E-03 2.246E-01 1.139E-02 1.461E-02 2.148E-02 1.105E-02 4.825E+00 Waveband 19 of 40 completed in 3.4 sec. * * * * * Output for wavelength band 20 (540.0 to 550.0 nm; nominal wavelength = 545.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 545.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 540.0 nm to 550.0 nm: Ed(diffuse) = 4.017E-01 Ed(direct) = 1.032E+00 Ed(total) = 1.434E+00 Absorption Coefficients of Individual Components at 545.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0511 0.0392 0.0047 0.0950 3 3.022 5.000 0.0511 0.0392 0.0047 0.0950 5 6.044 10.000 0.0511 0.0392 0.0047 0.0950 Scattering Coefficients of Individual Components at 545.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0020 0.5074 0.0000 0.5094 3 3.022 5.000 0.0020 0.5074 0.0000 0.5094 5 6.044 10.000 0.0020 0.5074 0.0000 0.5094 Backscattering Coefficients of Individual Components at 545.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00100 0.01015 0.00000 0.01114 3 3.022 5.000 0.00100 0.01015 0.00000 0.01114 5 6.044 10.000 0.00100 0.01015 0.00000 0.01114 Summary of Inherent Optical Properties at 545.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0950 0.5094 0.6044 0.8428 0.01114 0.02188 3 3.022 5.000 0.0950 0.5094 0.6044 0.8428 0.01114 0.02188 5 6.044 10.000 0.0950 0.5094 0.6044 0.8428 0.01114 0.02188 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4587E-01 8 20.00 8.1556E-01 7 30.00 6.4493E-01 6 40.00 4.7486E-01 5 50.00 3.3158E-01 4 60.00 2.2412E-01 3 70.00 1.4970E-01 2 80.00 1.0102E-01 1 87.50 7.5867E-02 1 92.50 6.2219E-02 2 100.00 4.8354E-02 3 110.00 3.6049E-02 4 120.00 2.8055E-02 5 130.00 2.2910E-02 6 140.00 1.9600E-02 7 150.00 1.7495E-02 8 160.00 1.6208E-02 9 170.00 1.5513E-02 10 180.00 1.5269E-02 Asymptotic AOP values are MUu(inf) = 0.3786 MUd(inf) = 0.7045 MU(inf) = 0.6048 R(inf) = 0.0545 Lu(inf)/Ed(inf) = 0.010880 (1/sr) k(inf) = 0.1571 (1/m) absorp(check) = 0.0950 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 545.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.8993E-01 2.0041E+00 2.1940E+00 7.4986E-02 1.4340E+00 0.3948 0.7155 0.6194 5.2292E-02 1 0.00 0.00 1.4965E-01 1.6626E+00 1.8123E+00 6.3389E-02 1.4224E+00 0.4236 0.8555 0.7499 4.4566E-02 3 3.02 5.00 9.2142E-02 9.4724E-01 1.0394E+00 3.6465E-02 7.2587E-01 0.3957 0.7663 0.6633 5.0236E-02 5 6.04 10.00 4.7523E-02 4.7626E-01 5.2379E-01 1.8381E-02 3.4939E-01 0.3868 0.7336 0.6320 5.2608E-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 0.06314 0.09098 0.08868 0.08416 0.12427 0.12614 0.11555 5.000 5.010 5.005 0.12142 0.12924 0.12855 0.12836 0.14199 0.14271 0.13902 10.000 10.010 10.005 0.14065 0.14380 0.14351 0.14359 0.14956 0.14989 0.14840 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 545.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.08392E-01 8.05745E-03 8.01634E-03 1.60738E-02 5.61900E-03 0.073957 9 1 10.0 0.0 180.0 6.68824E-02 8.18250E-03 2.39731E-03 1.05798E-02 5.70620E-03 0.035844 9 4 10.0 45.0 135.0 7.34857E-02 8.15057E-03 2.77967E-03 1.09302E-02 5.68394E-03 0.037826 9 7 10.0 90.0 90.0 9.92853E-02 8.14377E-03 5.79088E-03 1.39346E-02 5.67919E-03 0.058326 8 1 20.0 0.0 180.0 5.25352E-02 8.28339E-03 1.28254E-03 9.56592E-03 5.77656E-03 0.024413 8 4 20.0 45.0 135.0 5.84859E-02 8.20475E-03 1.51070E-03 9.71544E-03 5.72172E-03 0.025830 8 7 20.0 90.0 90.0 8.60007E-02 8.21552E-03 3.40636E-03 1.16219E-02 5.72923E-03 0.039609 7 1 30.0 0.0 180.0 4.55509E-02 8.43781E-03 1.09651E-03 9.53432E-03 5.88425E-03 0.024072 7 4 30.0 45.0 135.0 5.05014E-02 8.43140E-03 1.23170E-03 9.66310E-03 5.87978E-03 0.024390 7 7 30.0 90.0 90.0 7.36446E-02 8.41512E-03 2.12621E-03 1.05413E-02 5.86843E-03 0.028871 6 1 40.0 0.0 180.0 4.32364E-02 8.58213E-03 1.21919E-03 9.80132E-03 5.98490E-03 0.028198 6 4 40.0 45.0 135.0 4.72767E-02 8.56829E-03 1.32229E-03 9.89058E-03 5.97524E-03 0.027969 6 7 40.0 90.0 90.0 6.63757E-02 8.59203E-03 1.91581E-03 1.05078E-02 5.99180E-03 0.028863 5 1 50.0 0.0 180.0 4.53319E-02 8.77007E-03 1.92591E-03 1.06960E-02 6.11595E-03 0.042485 5 4 50.0 45.0 135.0 4.83073E-02 8.71490E-03 2.00644E-03 1.07213E-02 6.07748E-03 0.041535 5 7 50.0 90.0 90.0 6.42124E-02 8.78777E-03 2.59395E-03 1.13817E-02 6.12830E-03 0.040396 4 1 60.0 0.0 180.0 5.38097E-02 8.72027E-03 4.48647E-03 1.32067E-02 6.08123E-03 0.083377 4 4 60.0 45.0 135.0 5.50275E-02 8.65979E-03 4.43031E-03 1.30901E-02 6.03905E-03 0.080511 4 7 60.0 90.0 90.0 6.79517E-02 8.87649E-03 5.17359E-03 1.40501E-02 6.19017E-03 0.076136 3 1 70.0 0.0 180.0 7.46614E-02 8.16439E-03 1.23928E-02 2.05572E-02 5.69357E-03 0.165987 3 4 70.0 45.0 135.0 7.25599E-02 8.20212E-03 1.19242E-02 2.01263E-02 5.71989E-03 0.164336 3 7 70.0 90.0 90.0 8.11203E-02 8.44814E-03 1.29670E-02 2.14151E-02 5.89146E-03 0.159849 2 1 80.0 0.0 180.0 1.26851E-01 7.04597E-03 3.08049E-02 3.78508E-02 4.91362E-03 0.242843 2 4 80.0 45.0 135.0 1.17461E-01 7.06673E-03 2.97947E-02 3.68614E-02 4.92811E-03 0.253655 2 7 80.0 90.0 90.0 1.16699E-01 7.31022E-03 3.12031E-02 3.85134E-02 5.09790E-03 0.267382 1 1 87.5 0.0 180.0 2.05094E-01 5.70945E-03 5.43287E-02 6.00381E-02 3.98158E-03 0.264896 1 4 87.5 45.0 135.0 1.84662E-01 5.45529E-03 5.39932E-02 5.94485E-02 3.80434E-03 0.292389 1 7 87.5 90.0 90.0 1.68002E-01 6.26758E-03 5.52585E-02 6.15261E-02 4.37080E-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 1.607E-02 1.084E-01 1.326E-01 1.148E-01 1.714E-01 1.121E-02 4.665E+00 8.057E-03 5.619E-03 1 0.00 0.00 1.494E-02 2.019E-01 2.916E-02 3.482E-02 4.864E-02 1.051E-02 4.242E+00 3 3.02 5.00 7.830E-03 3.525E-01 1.976E-02 2.592E-02 4.104E-02 1.079E-02 4.657E+00 5 6.04 10.00 3.806E-03 2.251E-01 1.128E-02 1.451E-02 2.145E-02 1.089E-02 4.830E+00 Waveband 20 of 40 completed in 3.4 sec. * * * * * Output for wavelength band 21 (550.0 to 560.0 nm; nominal wavelength = 555.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 555.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 550.0 nm to 560.0 nm: Ed(diffuse) = 3.946E-01 Ed(direct) = 1.031E+00 Ed(total) = 1.425E+00 Absorption Coefficients of Individual Components at 555.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0596 0.0330 0.0041 0.0967 3 2.984 5.000 0.0596 0.0330 0.0041 0.0967 5 5.968 10.000 0.0596 0.0330 0.0041 0.0967 Scattering Coefficients of Individual Components at 555.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0018 0.4983 0.0000 0.5001 3 2.984 5.000 0.0018 0.4983 0.0000 0.5001 5 5.968 10.000 0.0018 0.4983 0.0000 0.5001 Backscattering Coefficients of Individual Components at 555.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00092 0.00997 0.00000 0.01089 3 2.984 5.000 0.00092 0.00997 0.00000 0.01089 5 5.968 10.000 0.00092 0.00997 0.00000 0.01089 Summary of Inherent Optical Properties at 555.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0967 0.5001 0.5968 0.8380 0.01089 0.02177 3 2.984 5.000 0.0967 0.5001 0.5968 0.8380 0.01089 0.02177 5 5.968 10.000 0.0967 0.5001 0.5968 0.8380 0.01089 0.02177 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4471E-01 8 20.00 8.1192E-01 7 30.00 6.3887E-01 6 40.00 4.6749E-01 5 50.00 3.2421E-01 4 60.00 2.1763E-01 3 70.00 1.4442E-01 2 80.00 9.6902E-02 1 87.50 7.2502E-02 1 92.50 5.9328E-02 2 100.00 4.5985E-02 3 110.00 3.4187E-02 4 120.00 2.6556E-02 5 130.00 2.1661E-02 6 140.00 1.8522E-02 7 150.00 1.6530E-02 8 160.00 1.5315E-02 9 170.00 1.4660E-02 10 180.00 1.4429E-02 Asymptotic AOP values are MUu(inf) = 0.3778 MUd(inf) = 0.7075 MU(inf) = 0.6108 R(inf) = 0.0523 Lu(inf)/Ed(inf) = 0.010416 (1/sr) k(inf) = 0.1583 (1/m) absorp(check) = 0.0967 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 555.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.8540E-01 1.9877E+00 2.1731E+00 7.3177E-02 1.4251E+00 0.3947 0.7169 0.6221 5.1350E-02 1 0.00 0.00 1.4277E-01 1.6472E+00 1.7900E+00 6.0347E-02 1.4122E+00 0.4227 0.8573 0.7552 4.2732E-02 3 2.98 5.00 8.7295E-02 9.3058E-01 1.0179E+00 3.4477E-02 7.1582E-01 0.3949 0.7692 0.6694 4.8164E-02 5 5.97 10.00 4.4752E-02 4.6476E-01 5.0952E-01 1.7276E-02 3.4244E-01 0.3860 0.7368 0.6382 5.0449E-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 0.06372 0.09237 0.09008 0.08543 0.12572 0.12752 0.11693 5.000 5.010 5.005 0.12272 0.13070 0.13001 0.12962 0.14326 0.14395 0.14023 10.000 10.010 10.005 0.14180 0.14505 0.14477 0.14475 0.15076 0.15108 0.14955 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 555.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.06473E-01 7.65691E-03 7.95844E-03 1.56154E-02 5.37298E-03 0.074746 9 1 10.0 0.0 180.0 6.56983E-02 7.77739E-03 2.36614E-03 1.01435E-02 5.45752E-03 0.036015 9 4 10.0 45.0 135.0 7.21847E-02 7.74641E-03 2.74497E-03 1.04914E-02 5.43578E-03 0.038027 9 7 10.0 90.0 90.0 9.75275E-02 7.73853E-03 5.74034E-03 1.34789E-02 5.43025E-03 0.058859 8 1 20.0 0.0 180.0 5.16051E-02 7.87389E-03 1.26040E-03 9.13429E-03 5.52523E-03 0.024424 8 4 20.0 45.0 135.0 5.74504E-02 7.79804E-03 1.48543E-03 9.28346E-03 5.47201E-03 0.025856 8 7 20.0 90.0 90.0 8.44780E-02 7.80607E-03 3.36583E-03 1.11719E-02 5.47764E-03 0.039843 7 1 30.0 0.0 180.0 4.47444E-02 8.02097E-03 1.07710E-03 9.09807E-03 5.62845E-03 0.024072 7 4 30.0 45.0 135.0 4.96077E-02 8.01336E-03 1.20997E-03 9.22332E-03 5.62310E-03 0.024391 7 7 30.0 90.0 90.0 7.23380E-02 7.99502E-03 2.09245E-03 1.00875E-02 5.61023E-03 0.028926 6 1 40.0 0.0 180.0 4.24709E-02 8.15809E-03 1.19760E-03 9.35569E-03 5.72466E-03 0.028198 6 4 40.0 45.0 135.0 4.64396E-02 8.14299E-03 1.29888E-03 9.44187E-03 5.71407E-03 0.027969 6 7 40.0 90.0 90.0 6.52005E-02 8.16234E-03 1.88214E-03 1.00445E-02 5.72765E-03 0.028867 5 1 50.0 0.0 180.0 4.45293E-02 8.33657E-03 1.89181E-03 1.02284E-02 5.84991E-03 0.042485 5 4 50.0 45.0 135.0 4.74520E-02 8.28206E-03 1.97092E-03 1.02530E-02 5.81166E-03 0.041535 5 7 50.0 90.0 90.0 6.30755E-02 8.34844E-03 2.54802E-03 1.08965E-02 5.85824E-03 0.040396 4 1 60.0 0.0 180.0 5.28570E-02 8.28918E-03 4.40703E-03 1.26962E-02 5.81665E-03 0.083377 4 4 60.0 45.0 135.0 5.40532E-02 8.22964E-03 4.35187E-03 1.25815E-02 5.77487E-03 0.080511 4 7 60.0 90.0 90.0 6.67486E-02 8.43337E-03 5.08199E-03 1.35154E-02 5.91783E-03 0.076136 3 1 70.0 0.0 180.0 7.33395E-02 7.76115E-03 1.21734E-02 1.99346E-02 5.44612E-03 0.165987 3 4 70.0 45.0 135.0 7.12752E-02 7.79530E-03 1.17131E-02 1.95084E-02 5.47009E-03 0.164336 3 7 70.0 90.0 90.0 7.96840E-02 8.02832E-03 1.27374E-02 2.07657E-02 5.63360E-03 0.159849 2 1 80.0 0.0 180.0 1.24605E-01 6.69853E-03 3.02595E-02 3.69580E-02 4.70047E-03 0.242843 2 4 80.0 45.0 135.0 1.15382E-01 6.71706E-03 2.92672E-02 3.59842E-02 4.71347E-03 0.253655 2 7 80.0 90.0 90.0 1.14633E-01 6.94895E-03 3.06507E-02 3.75996E-02 4.87619E-03 0.267382 1 1 87.5 0.0 180.0 2.01463E-01 5.42876E-03 5.33668E-02 5.87955E-02 3.80945E-03 0.264896 1 4 87.5 45.0 135.0 1.81393E-01 5.18642E-03 5.30373E-02 5.82237E-02 3.63940E-03 0.292389 1 7 87.5 90.0 90.0 1.65027E-01 5.96030E-03 5.42802E-02 6.02405E-02 4.18244E-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 1.562E-02 1.065E-01 1.301E-01 1.126E-01 1.682E-01 1.096E-02 4.686E+00 7.657E-03 5.373E-03 1 0.00 0.00 1.420E-02 1.983E-01 2.782E-02 3.330E-02 4.674E-02 1.006E-02 4.250E+00 3 2.98 5.00 7.393E-03 3.453E-01 1.874E-02 2.467E-02 3.928E-02 1.033E-02 4.664E+00 5 5.97 10.00 3.572E-03 2.206E-01 1.062E-02 1.372E-02 2.041E-02 1.043E-02 4.836E+00 Waveband 21 of 40 completed in 3.3 sec. * * * * * Output for wavelength band 22 (560.0 to 570.0 nm; nominal wavelength = 565.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 565.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 560.0 nm to 570.0 nm: Ed(diffuse) = 3.870E-01 Ed(direct) = 1.026E+00 Ed(total) = 1.413E+00 Absorption Coefficients of Individual Components at 565.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0642 0.0278 0.0036 0.0956 3 2.934 5.000 0.0642 0.0278 0.0036 0.0956 5 5.868 10.000 0.0642 0.0278 0.0036 0.0956 Scattering Coefficients of Individual Components at 565.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0017 0.4894 0.0000 0.4912 3 2.934 5.000 0.0017 0.4894 0.0000 0.4912 5 5.868 10.000 0.0017 0.4894 0.0000 0.4912 Backscattering Coefficients of Individual Components at 565.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00085 0.00979 0.00000 0.01064 3 2.934 5.000 0.00085 0.00979 0.00000 0.01064 5 5.868 10.000 0.00085 0.00979 0.00000 0.01064 Summary of Inherent Optical Properties at 565.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0956 0.4912 0.5868 0.8370 0.01064 0.02167 3 2.934 5.000 0.0956 0.4912 0.5868 0.8370 0.01064 0.02167 5 5.868 10.000 0.0956 0.4912 0.5868 0.8370 0.01064 0.02167 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4449E-01 8 20.00 8.1124E-01 7 30.00 6.3773E-01 6 40.00 4.6610E-01 5 50.00 3.2282E-01 4 60.00 2.1639E-01 3 70.00 1.4340E-01 2 80.00 9.6090E-02 1 87.50 7.1828E-02 1 92.50 5.8741E-02 2 100.00 4.5494E-02 3 110.00 3.3791E-02 4 120.00 2.6227E-02 5 130.00 2.1380E-02 6 140.00 1.8272E-02 7 150.00 1.6302E-02 8 160.00 1.5100E-02 9 170.00 1.4452E-02 10 180.00 1.4224E-02 Asymptotic AOP values are MUu(inf) = 0.3774 MUd(inf) = 0.7081 MU(inf) = 0.6121 R(inf) = 0.0517 Lu(inf)/Ed(inf) = 0.010293 (1/sr) k(inf) = 0.1562 (1/m) absorp(check) = 0.0956 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 565.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.8223E-01 1.9675E+00 2.1498E+00 7.2090E-02 1.4132E+00 0.3956 0.7183 0.6238 5.1011E-02 1 0.00 0.00 1.4003E-01 1.6320E+00 1.7720E+00 5.9145E-02 1.4003E+00 0.4224 0.8580 0.7568 4.2238E-02 3 2.93 5.00 8.6367E-02 9.2978E-01 1.0161E+00 3.4100E-02 7.1657E-01 0.3948 0.7707 0.6716 4.7587E-02 5 5.87 10.00 4.4781E-02 4.6941E-01 5.1419E-01 1.7279E-02 3.4649E-01 0.3859 0.7382 0.6403 4.9869E-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 0.06256 0.09117 0.08891 0.08417 0.12408 0.12584 0.11530 5.000 5.010 5.005 0.12056 0.12866 0.12797 0.12747 0.14118 0.14187 0.13808 10.000 10.010 10.005 0.13949 0.14283 0.14254 0.14245 0.14858 0.14890 0.14730 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 565.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.04429E-01 7.49570E-03 7.88459E-03 1.53803E-02 5.30399E-03 0.075502 9 1 10.0 0.0 180.0 6.44370E-02 7.61320E-03 2.33131E-03 9.94451E-03 5.38713E-03 0.036180 9 4 10.0 45.0 135.0 7.07988E-02 7.58300E-03 2.70590E-03 1.02889E-02 5.36576E-03 0.038220 9 7 10.0 90.0 90.0 9.56551E-02 7.57570E-03 5.67898E-03 1.32547E-02 5.36060E-03 0.059369 8 1 20.0 0.0 180.0 5.06144E-02 7.70750E-03 1.23674E-03 8.94424E-03 5.45387E-03 0.024435 8 4 20.0 45.0 135.0 5.63474E-02 7.63347E-03 1.45830E-03 9.09176E-03 5.40148E-03 0.025880 8 7 20.0 90.0 90.0 8.28562E-02 7.64204E-03 3.31978E-03 1.09618E-02 5.40754E-03 0.040067 7 1 30.0 0.0 180.0 4.38854E-02 7.85140E-03 1.05642E-03 8.90782E-03 5.55569E-03 0.024072 7 4 30.0 45.0 135.0 4.86557E-02 7.84424E-03 1.18680E-03 9.03104E-03 5.55062E-03 0.024392 7 7 30.0 90.0 90.0 7.09468E-02 7.82737E-03 2.05593E-03 9.88330E-03 5.53868E-03 0.028978 6 1 40.0 0.0 180.0 4.16555E-02 7.98561E-03 1.17461E-03 9.16021E-03 5.65065E-03 0.028198 6 4 40.0 45.0 135.0 4.55481E-02 7.97126E-03 1.27394E-03 9.24520E-03 5.64050E-03 0.027969 6 7 40.0 90.0 90.0 6.39488E-02 7.99189E-03 1.84625E-03 9.83814E-03 5.65510E-03 0.028871 5 1 50.0 0.0 180.0 4.36744E-02 8.16041E-03 1.85549E-03 1.00159E-02 5.77434E-03 0.042485 5 4 50.0 45.0 135.0 4.65410E-02 8.10764E-03 1.93308E-03 1.00407E-02 5.73700E-03 0.041535 5 7 50.0 90.0 90.0 6.18645E-02 8.17502E-03 2.49910E-03 1.06741E-02 5.78468E-03 0.040396 4 1 60.0 0.0 180.0 5.18422E-02 8.11416E-03 4.32243E-03 1.24366E-02 5.74162E-03 0.083377 4 4 60.0 45.0 135.0 5.30155E-02 8.05665E-03 4.26832E-03 1.23250E-02 5.70092E-03 0.080511 4 7 60.0 90.0 90.0 6.54672E-02 8.25921E-03 4.98443E-03 1.32436E-02 5.84425E-03 0.076136 3 1 70.0 0.0 180.0 7.19315E-02 7.59754E-03 1.19397E-02 1.95372E-02 5.37605E-03 0.165987 3 4 70.0 45.0 135.0 6.99069E-02 7.63192E-03 1.14882E-02 1.91201E-02 5.40038E-03 0.164336 3 7 70.0 90.0 90.0 7.81542E-02 7.86385E-03 1.24929E-02 2.03567E-02 5.56450E-03 0.159849 2 1 80.0 0.0 180.0 1.22213E-01 6.55758E-03 2.96785E-02 3.62361E-02 4.64017E-03 0.242843 2 4 80.0 45.0 135.0 1.13166E-01 6.57673E-03 2.87053E-02 3.52820E-02 4.65372E-03 0.253655 2 7 80.0 90.0 90.0 1.12432E-01 6.80770E-03 3.00622E-02 3.68699E-02 4.81716E-03 0.267382 1 1 87.5 0.0 180.0 1.97595E-01 5.31481E-03 5.23422E-02 5.76570E-02 3.76078E-03 0.264896 1 4 87.5 45.0 135.0 1.77910E-01 5.07848E-03 5.20190E-02 5.70975E-02 3.59356E-03 0.292389 1 7 87.5 90.0 90.0 1.61859E-01 5.84020E-03 5.32381E-02 5.90783E-02 4.13255E-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 1.538E-02 1.044E-01 1.276E-01 1.105E-01 1.650E-01 1.088E-02 4.687E+00 7.496E-03 5.304E-03 1 0.00 0.00 1.390E-02 1.945E-01 2.725E-02 3.267E-02 4.598E-02 9.928E-03 4.254E+00 3 2.93 5.00 7.308E-03 3.424E-01 1.850E-02 2.440E-02 3.897E-02 1.020E-02 4.666E+00 5 5.87 10.00 3.571E-03 2.222E-01 1.060E-02 1.373E-02 2.051E-02 1.031E-02 4.839E+00 Waveband 22 of 40 completed in 3.3 sec. * * * * * Output for wavelength band 23 (570.0 to 580.0 nm; nominal wavelength = 575.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 43.9 m at 575.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 570.0 nm to 580.0 nm: Ed(diffuse) = 3.835E-01 Ed(direct) = 1.031E+00 Ed(total) = 1.415E+00 Absorption Coefficients of Individual Components at 575.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0772 0.0268 0.0031 0.1071 3 2.948 5.000 0.0772 0.0268 0.0031 0.1071 5 5.896 10.000 0.0772 0.0268 0.0031 0.1071 Scattering Coefficients of Individual Components at 575.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0016 0.4809 0.0000 0.4825 3 2.948 5.000 0.0016 0.4809 0.0000 0.4825 5 5.896 10.000 0.0016 0.4809 0.0000 0.4825 Backscattering Coefficients of Individual Components at 575.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00079 0.00962 0.00000 0.01041 3 2.948 5.000 0.00079 0.00962 0.00000 0.01041 5 5.896 10.000 0.00079 0.00962 0.00000 0.01041 Summary of Inherent Optical Properties at 575.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1071 0.4825 0.5896 0.8183 0.01041 0.02157 3 2.948 5.000 0.1071 0.4825 0.5896 0.8183 0.01041 0.02157 5 5.896 10.000 0.1071 0.4825 0.5896 0.8183 0.01041 0.02157 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3999E-01 8 20.00 7.9732E-01 7 30.00 6.1492E-01 6 40.00 4.3896E-01 5 50.00 2.9631E-01 4 60.00 1.9362E-01 3 70.00 1.2534E-01 2 80.00 8.2308E-02 1 87.50 6.0755E-02 1 92.50 4.9336E-02 2 100.00 3.7893E-02 3 110.00 2.7918E-02 4 120.00 2.1566E-02 5 130.00 1.7545E-02 6 140.00 1.4994E-02 7 150.00 1.3389E-02 8 160.00 1.2417E-02 9 170.00 1.1896E-02 10 180.00 1.1714E-02 Asymptotic AOP values are MUu(inf) = 0.3754 MUd(inf) = 0.7193 MU(inf) = 0.6329 R(inf) = 0.0447 Lu(inf)/Ed(inf) = 0.008897 (1/sr) k(inf) = 0.1693 (1/m) absorp(check) = 0.1071 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 575.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.7482E-01 1.9664E+00 2.1412E+00 6.8569E-02 1.4148E+00 0.3922 0.7195 0.6287 4.8464E-02 1 0.00 0.00 1.2220E-01 1.6191E+00 1.7413E+00 5.1281E-02 1.3975E+00 0.4196 0.8632 0.7731 3.6694E-02 3 2.95 5.00 7.0747E-02 8.6158E-01 9.3233E-01 2.7736E-02 6.7031E-01 0.3920 0.7780 0.6892 4.1378E-02 5 5.90 10.00 3.4288E-02 4.0616E-01 4.4045E-01 1.3149E-02 3.0343E-01 0.3835 0.7471 0.6591 4.3335E-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 0.06986 0.10214 0.09987 0.09466 0.13650 0.13810 0.12731 5.000 5.010 5.005 0.13408 0.14249 0.14186 0.14078 0.15434 0.15493 0.15111 10.000 10.010 10.005 0.15292 0.15641 0.15614 0.15575 0.16178 0.16206 0.16039 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 575.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.03470E-01 6.47900E-03 7.88652E-03 1.43655E-02 4.57932E-03 0.076220 9 1 10.0 0.0 180.0 6.38454E-02 6.58822E-03 2.31989E-03 8.90811E-03 4.65652E-03 0.036336 9 4 10.0 45.0 135.0 7.01489E-02 6.55922E-03 2.69390E-03 9.25312E-03 4.63602E-03 0.038403 9 7 10.0 90.0 90.0 9.47770E-02 6.54625E-03 5.67282E-03 1.22191E-02 4.62685E-03 0.059854 8 1 20.0 0.0 180.0 5.01497E-02 6.67242E-03 1.22589E-03 7.89831E-03 4.71603E-03 0.024445 8 4 20.0 45.0 135.0 5.58301E-02 6.60351E-03 1.44622E-03 8.04972E-03 4.66732E-03 0.025904 8 7 20.0 90.0 90.0 8.20955E-02 6.60019E-03 3.30679E-03 9.90698E-03 4.66498E-03 0.040280 7 1 30.0 0.0 180.0 4.34825E-02 6.79818E-03 1.04672E-03 7.84490E-03 4.80492E-03 0.024072 7 4 30.0 45.0 135.0 4.82094E-02 6.78524E-03 1.17597E-03 7.96122E-03 4.79577E-03 0.024393 7 7 30.0 90.0 90.0 7.02931E-02 6.75618E-03 2.04050E-03 8.79668E-03 4.77523E-03 0.029028 6 1 40.0 0.0 180.0 4.12731E-02 6.91364E-03 1.16383E-03 8.07747E-03 4.88652E-03 0.028198 6 4 40.0 45.0 135.0 4.51299E-02 6.89250E-03 1.26225E-03 8.15475E-03 4.87159E-03 0.027969 6 7 40.0 90.0 90.0 6.33617E-02 6.89245E-03 1.82952E-03 8.72197E-03 4.87155E-03 0.028874 5 1 50.0 0.0 180.0 4.32735E-02 7.06355E-03 1.83845E-03 8.90201E-03 4.99248E-03 0.042485 5 4 50.0 45.0 135.0 4.61137E-02 7.00808E-03 1.91533E-03 8.92341E-03 4.95327E-03 0.041535 5 7 50.0 90.0 90.0 6.12966E-02 7.04730E-03 2.47616E-03 9.52346E-03 4.98100E-03 0.040396 4 1 60.0 0.0 180.0 5.13663E-02 7.02226E-03 4.28275E-03 1.13050E-02 4.96330E-03 0.083377 4 4 60.0 45.0 135.0 5.25288E-02 6.96214E-03 4.22913E-03 1.11913E-02 4.92080E-03 0.080511 4 7 60.0 90.0 90.0 6.48662E-02 7.11820E-03 4.93867E-03 1.20569E-02 5.03111E-03 0.076136 3 1 70.0 0.0 180.0 7.12711E-02 6.57495E-03 1.18301E-02 1.84050E-02 4.64714E-03 0.165987 3 4 70.0 45.0 135.0 6.92651E-02 6.59500E-03 1.13827E-02 1.79777E-02 4.66131E-03 0.164336 3 7 70.0 90.0 90.0 7.74367E-02 6.77945E-03 1.23782E-02 1.91576E-02 4.79168E-03 0.159849 2 1 80.0 0.0 180.0 1.21091E-01 5.67565E-03 2.94061E-02 3.50817E-02 4.01152E-03 0.242843 2 4 80.0 45.0 135.0 1.12128E-01 5.68419E-03 2.84418E-02 3.41260E-02 4.01755E-03 0.253655 2 7 80.0 90.0 90.0 1.11400E-01 5.87216E-03 2.97863E-02 3.56584E-02 4.15042E-03 0.267382 1 1 87.5 0.0 180.0 1.95781E-01 4.60180E-03 5.18617E-02 5.64635E-02 3.25253E-03 0.264896 1 4 87.5 45.0 135.0 1.76277E-01 4.39146E-03 5.15415E-02 5.59329E-02 3.10386E-03 0.292389 1 7 87.5 90.0 90.0 1.60373E-01 5.04285E-03 5.27493E-02 5.77922E-02 3.56426E-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 1.437E-02 1.035E-01 1.261E-01 1.091E-01 1.631E-01 1.015E-02 4.773E+00 6.479E-03 4.579E-03 1 0.00 0.00 1.202E-02 1.927E-01 2.387E-02 2.875E-02 4.096E-02 8.598E-03 4.268E+00 3 2.95 5.00 5.927E-03 3.207E-01 1.536E-02 2.039E-02 3.296E-02 8.842E-03 4.680E+00 5 5.90 10.00 2.713E-03 1.975E-01 8.212E-03 1.070E-02 1.615E-02 8.940E-03 4.847E+00 Waveband 23 of 40 completed in 3.5 sec. * * * * * Output for wavelength band 24 (580.0 to 590.0 nm; nominal wavelength = 585.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 42.5 m at 585.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 580.0 nm to 590.0 nm: Ed(diffuse) = 3.707E-01 Ed(direct) = 1.010E+00 Ed(total) = 1.381E+00 Absorption Coefficients of Individual Components at 585.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1100 0.0278 0.0027 0.1405 3 3.074 5.000 0.1100 0.0278 0.0027 0.1405 5 6.147 10.000 0.1100 0.0278 0.0027 0.1405 Scattering Coefficients of Individual Components at 585.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0015 0.4727 0.0000 0.4742 3 3.074 5.000 0.0015 0.4727 0.0000 0.4742 5 6.147 10.000 0.0015 0.4727 0.0000 0.4742 Backscattering Coefficients of Individual Components at 585.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00073 0.00945 0.00000 0.01019 3 3.074 5.000 0.00073 0.00945 0.00000 0.01019 5 6.147 10.000 0.00073 0.00945 0.00000 0.01019 Summary of Inherent Optical Properties at 585.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1405 0.4742 0.6147 0.7714 0.01019 0.02148 3 3.074 5.000 0.1405 0.4742 0.6147 0.7714 0.01019 0.02148 5 6.147 10.000 0.1405 0.4742 0.6147 0.7714 0.01019 0.02148 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.2861E-01 8 20.00 7.6298E-01 7 30.00 5.6088E-01 6 40.00 3.7777E-01 5 50.00 2.3972E-01 4 60.00 1.4758E-01 3 70.00 9.0601E-02 2 80.00 5.6955E-02 1 87.50 4.0956E-02 1 92.50 3.2807E-02 2 100.00 2.4806E-02 3 110.00 1.8017E-02 4 120.00 1.3823E-02 5 130.00 1.1233E-02 6 140.00 9.6237E-03 7 150.00 8.6303E-03 8 160.00 8.0378E-03 9 170.00 7.7238E-03 10 180.00 7.6141E-03 Asymptotic AOP values are MUu(inf) = 0.3725 MUd(inf) = 0.7445 MU(inf) = 0.6767 R(inf) = 0.0324 Lu(inf)/Ed(inf) = 0.006483 (1/sr) k(inf) = 0.2077 (1/m) absorp(check) = 0.1406 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 585.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.5864E-01 1.9161E+00 2.0747E+00 6.1044E-02 1.3808E+00 0.3848 0.7207 0.6361 4.4209E-02 1 0.00 0.00 8.8548E-02 1.5550E+00 1.6436E+00 3.6680E-02 1.3564E+00 0.4142 0.8723 0.8030 2.7042E-02 3 3.07 5.00 4.2325E-02 6.7753E-01 7.1986E-01 1.6383E-02 5.3687E-01 0.3871 0.7924 0.7230 3.0517E-02 5 6.15 10.00 1.6792E-02 2.6098E-01 2.7777E-01 6.3774E-03 1.9982E-01 0.3798 0.7656 0.6964 3.1916E-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 0.09499 0.13606 0.13385 0.12699 0.17333 0.17462 0.16312 5.000 5.010 5.005 0.17434 0.18315 0.18263 0.18033 0.19340 0.19382 0.18963 10.000 10.010 10.005 0.19265 0.19651 0.19627 0.19497 0.20094 0.20114 0.19877 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 585.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.00019E-01 4.62273E-03 7.69050E-03 1.23132E-02 3.34784E-03 0.076891 9 1 10.0 0.0 180.0 6.17156E-02 4.71331E-03 2.25150E-03 6.96481E-03 3.41344E-03 0.036482 9 4 10.0 45.0 135.0 6.78088E-02 4.68781E-03 2.61562E-03 7.30343E-03 3.39498E-03 0.038573 9 7 10.0 90.0 90.0 9.16153E-02 4.66733E-03 5.52507E-03 1.01924E-02 3.38014E-03 0.060307 8 1 20.0 0.0 180.0 4.84768E-02 4.77746E-03 1.18545E-03 5.96291E-03 3.45990E-03 0.024454 8 4 20.0 45.0 135.0 5.39677E-02 4.72012E-03 1.39915E-03 6.11927E-03 3.41838E-03 0.025926 8 7 20.0 90.0 90.0 7.93569E-02 4.69953E-03 3.21226E-03 7.91179E-03 3.40346E-03 0.040479 7 1 30.0 0.0 180.0 4.20320E-02 4.86889E-03 1.01180E-03 5.88070E-03 3.52612E-03 0.024072 7 4 30.0 45.0 135.0 4.66016E-02 4.84844E-03 1.13680E-03 5.98524E-03 3.51130E-03 0.024394 7 7 30.0 90.0 90.0 6.79461E-02 4.80285E-03 1.97553E-03 6.77839E-03 3.47829E-03 0.029075 6 1 40.0 0.0 180.0 3.98963E-02 4.94922E-03 1.12500E-03 6.07422E-03 3.58429E-03 0.028198 6 4 40.0 45.0 135.0 4.36245E-02 4.91950E-03 1.22014E-03 6.13964E-03 3.56276E-03 0.027969 6 7 40.0 90.0 90.0 6.12481E-02 4.88812E-03 1.76869E-03 6.65681E-03 3.54004E-03 0.028878 5 1 50.0 0.0 180.0 4.18299E-02 5.05268E-03 1.77713E-03 6.82981E-03 3.65922E-03 0.042485 5 4 50.0 45.0 135.0 4.45754E-02 4.99638E-03 1.85144E-03 6.84782E-03 3.61845E-03 0.041535 5 7 50.0 90.0 90.0 5.92518E-02 4.99002E-03 2.39356E-03 7.38358E-03 3.61384E-03 0.040396 4 1 60.0 0.0 180.0 4.96528E-02 5.01936E-03 4.13988E-03 9.15924E-03 3.63508E-03 0.083377 4 4 60.0 45.0 135.0 5.07765E-02 4.95859E-03 4.08806E-03 9.04664E-03 3.59107E-03 0.080511 4 7 60.0 90.0 90.0 6.27023E-02 5.03427E-03 4.77392E-03 9.80820E-03 3.64589E-03 0.076136 3 1 70.0 0.0 180.0 6.88936E-02 4.69708E-03 1.14355E-02 1.61325E-02 3.40169E-03 0.165987 3 4 70.0 45.0 135.0 6.69545E-02 4.69433E-03 1.10030E-02 1.56974E-02 3.39970E-03 0.164336 3 7 70.0 90.0 90.0 7.48536E-02 4.79387E-03 1.19653E-02 1.67591E-02 3.47178E-03 0.159849 2 1 80.0 0.0 180.0 1.17051E-01 4.05386E-03 2.84251E-02 3.24790E-02 2.93586E-03 0.242843 2 4 80.0 45.0 135.0 1.08387E-01 4.04543E-03 2.74930E-02 3.15384E-02 2.92975E-03 0.253655 2 7 80.0 90.0 90.0 1.07684E-01 4.15426E-03 2.87926E-02 3.29469E-02 3.00857E-03 0.267382 1 1 87.5 0.0 180.0 1.89250E-01 3.28810E-03 5.01317E-02 5.34198E-02 2.38129E-03 0.264896 1 4 87.5 45.0 135.0 1.70397E-01 3.12715E-03 4.98221E-02 5.29493E-02 2.26472E-03 0.292389 1 7 87.5 90.0 90.0 1.55023E-01 3.57309E-03 5.09897E-02 5.45628E-02 2.58768E-03 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 585.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.231E-02 1.000E-01 1.213E-01 1.048E-01 1.569E-01 8.917E-03 4.958E+00 4.623E-03 3.348E-03 1 0.00 0.00 8.575E-03 1.862E-01 1.749E-02 2.123E-02 3.092E-02 6.321E-03 4.278E+00 3 3.07 5.00 3.500E-03 2.612E-01 9.475E-03 1.271E-02 2.093E-02 6.519E-03 4.681E+00 5 6.15 10.00 1.322E-03 1.357E-01 4.130E-03 5.420E-03 8.293E-03 6.614E-03 4.826E+00 Waveband 24 of 40 completed in 3.6 sec. * * * * * Output for wavelength band 25 (590.0 to 600.0 nm; nominal wavelength = 595.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 40.3 m at 595.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 590.0 nm to 600.0 nm: Ed(diffuse) = 3.536E-01 Ed(direct) = 9.762E-01 Ed(total) = 1.330E+00 Absorption Coefficients of Individual Components at 595.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1672 0.0247 0.0024 0.1943 3 3.302 5.000 0.1672 0.0247 0.0024 0.1943 5 6.604 10.000 0.1672 0.0247 0.0024 0.1943 Scattering Coefficients of Individual Components at 595.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0014 0.4648 0.0000 0.4661 3 3.302 5.000 0.0014 0.4648 0.0000 0.4661 5 6.604 10.000 0.0014 0.4648 0.0000 0.4661 Backscattering Coefficients of Individual Components at 595.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00068 0.00930 0.00000 0.00998 3 3.302 5.000 0.00068 0.00930 0.00000 0.00998 5 6.604 10.000 0.00068 0.00930 0.00000 0.00998 Summary of Inherent Optical Properties at 595.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1943 0.4661 0.6604 0.7058 0.00998 0.02140 3 3.302 5.000 0.1943 0.4661 0.6604 0.7058 0.00998 0.02140 5 6.604 10.000 0.1943 0.4661 0.6604 0.7058 0.00998 0.02140 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.1203E-01 8 20.00 7.1521E-01 7 30.00 4.9082E-01 6 40.00 3.0494E-01 5 50.00 1.7820E-01 4 60.00 1.0174E-01 3 70.00 5.8654E-02 2 80.00 3.5128E-02 1 87.50 2.4590E-02 1 92.50 1.9456E-02 2 100.00 1.4511E-02 3 110.00 1.0424E-02 4 120.00 7.9759E-03 5 130.00 6.5019E-03 6 140.00 5.6068E-03 7 150.00 5.0655E-03 8 160.00 4.7487E-03 9 170.00 4.5833E-03 10 180.00 4.5258E-03 Asymptotic AOP values are MUu(inf) = 0.3716 MUd(inf) = 0.7747 MU(inf) = 0.7247 R(inf) = 0.0219 Lu(inf)/Ed(inf) = 0.004472 (1/sr) k(inf) = 0.2681 (1/m) absorp(check) = 0.1943 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 595.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.4313E-01 1.8424E+00 1.9856E+00 5.4094E-02 1.3298E+00 0.3779 0.7218 0.6425 4.0679E-02 1 0.00 0.00 6.0011E-02 1.4769E+00 1.5369E+00 2.4527E-02 1.3002E+00 0.4087 0.8804 0.8301 1.8864E-02 3 3.30 5.00 2.1008E-02 4.6805E-01 4.8906E-01 8.0584E-03 3.7852E-01 0.3836 0.8087 0.7575 2.1290E-02 5 6.60 10.00 6.1117E-03 1.3123E-01 1.3734E-01 2.3151E-03 1.0332E-01 0.3788 0.7873 0.7354 2.2406E-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 0.14162 0.19343 0.19140 0.18163 0.23272 0.23371 0.22095 5.000 5.010 5.005 0.23766 0.24721 0.24680 0.24226 0.25548 0.25577 0.24941 10.000 10.010 10.005 0.25338 0.25945 0.25918 0.25445 0.26278 0.26297 0.25611 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 595.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 9.54262E-02 3.09554E-03 7.40045E-03 1.04960E-02 2.32783E-03 0.077552 9 1 10.0 0.0 180.0 5.88819E-02 3.16554E-03 2.15659E-03 5.32213E-03 2.38048E-03 0.036626 9 4 10.0 45.0 135.0 6.46953E-02 3.14487E-03 2.50641E-03 5.65128E-03 2.36493E-03 0.038742 9 7 10.0 90.0 90.0 8.74087E-02 3.12268E-03 5.31041E-03 8.43308E-03 2.34824E-03 0.060754 8 1 20.0 0.0 180.0 4.62509E-02 3.21122E-03 1.13145E-03 4.34267E-03 2.41483E-03 0.024463 8 4 20.0 45.0 135.0 5.14897E-02 3.16671E-03 1.33602E-03 4.50272E-03 2.38136E-03 0.025947 8 7 20.0 90.0 90.0 7.57132E-02 3.13906E-03 3.07961E-03 6.21867E-03 2.36057E-03 0.040675 7 1 30.0 0.0 180.0 4.01020E-02 3.27324E-03 9.65346E-04 4.23859E-03 2.46147E-03 0.024072 7 4 30.0 45.0 135.0 4.44621E-02 3.25111E-03 1.08466E-03 4.33576E-03 2.44482E-03 0.024395 7 7 30.0 90.0 90.0 6.48243E-02 3.20158E-03 1.88774E-03 5.08932E-03 2.40758E-03 0.029121 6 1 40.0 0.0 180.0 3.80644E-02 3.32451E-03 1.07335E-03 4.39786E-03 2.50003E-03 0.028198 6 4 40.0 45.0 135.0 4.16214E-02 3.29355E-03 1.16411E-03 4.45766E-03 2.47674E-03 0.027969 6 7 40.0 90.0 90.0 5.84358E-02 3.24824E-03 1.68767E-03 4.93591E-03 2.44267E-03 0.028881 5 1 50.0 0.0 180.0 3.99093E-02 3.38989E-03 1.69553E-03 5.08542E-03 2.54919E-03 0.042485 5 4 50.0 45.0 135.0 4.25287E-02 3.33946E-03 1.76643E-03 5.10589E-03 2.51127E-03 0.041535 5 7 50.0 90.0 90.0 5.65312E-02 3.30810E-03 2.28366E-03 5.59176E-03 2.48768E-03 0.040396 4 1 60.0 0.0 180.0 4.73729E-02 3.36329E-03 3.94979E-03 7.31308E-03 2.52918E-03 0.083377 4 4 60.0 45.0 135.0 4.84450E-02 3.30888E-03 3.90035E-03 7.20922E-03 2.48827E-03 0.080511 4 7 60.0 90.0 90.0 5.98232E-02 3.33081E-03 4.55472E-03 7.88553E-03 2.50476E-03 0.076136 3 1 70.0 0.0 180.0 6.57303E-02 3.14362E-03 1.09104E-02 1.40540E-02 2.36399E-03 0.165987 3 4 70.0 45.0 135.0 6.38802E-02 3.12844E-03 1.04978E-02 1.36262E-02 2.35258E-03 0.164336 3 7 70.0 90.0 90.0 7.14166E-02 3.16835E-03 1.14159E-02 1.45842E-02 2.38259E-03 0.159849 2 1 80.0 0.0 180.0 1.11677E-01 2.71098E-03 2.71199E-02 2.98309E-02 2.03865E-03 0.242843 2 4 80.0 45.0 135.0 1.03410E-01 2.69380E-03 2.62306E-02 2.89244E-02 2.02573E-03 0.253655 2 7 80.0 90.0 90.0 1.02739E-01 2.74482E-03 2.74706E-02 3.02154E-02 2.06409E-03 0.267382 1 1 87.5 0.0 180.0 1.80561E-01 2.19844E-03 4.78298E-02 5.00282E-02 1.65322E-03 0.264896 1 4 87.5 45.0 135.0 1.62573E-01 2.08223E-03 4.75345E-02 4.96167E-02 1.56583E-03 0.292389 1 7 87.5 90.0 90.0 1.47905E-01 2.36292E-03 4.86484E-02 5.10113E-02 1.77691E-03 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 595.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.050E-02 9.543E-02 1.153E-01 9.946E-02 1.491E-01 7.893E-03 5.154E+00 3.096E-03 2.328E-03 1 0.00 0.00 5.743E-03 1.776E-01 1.203E-02 1.471E-02 2.192E-02 4.417E-03 4.271E+00 3 3.30 5.00 1.738E-03 1.889E-01 4.841E-03 6.550E-03 1.095E-02 4.592E-03 4.636E+00 5 6.60 10.00 4.896E-04 7.448E-02 1.536E-03 2.020E-03 3.112E-03 4.738E-03 4.729E+00 Waveband 25 of 40 completed in 3.8 sec. * * * * * Output for wavelength band 26 (600.0 to 610.0 nm; nominal wavelength = 605.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 36.8 m at 605.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 600.0 nm to 610.0 nm: Ed(diffuse) = 3.601E-01 Ed(direct) = 1.006E+00 Ed(total) = 1.366E+00 Absorption Coefficients of Individual Components at 605.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2577 0.0278 0.0020 0.2876 3 3.730 5.000 0.2577 0.0278 0.0020 0.2876 5 7.459 10.000 0.2577 0.0278 0.0020 0.2876 Scattering Coefficients of Individual Components at 605.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0013 0.4571 0.0000 0.4584 3 3.730 5.000 0.0013 0.4571 0.0000 0.4584 5 7.459 10.000 0.0013 0.4571 0.0000 0.4584 Backscattering Coefficients of Individual Components at 605.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00063 0.00914 0.00000 0.00978 3 3.730 5.000 0.00063 0.00914 0.00000 0.00978 5 7.459 10.000 0.00063 0.00914 0.00000 0.00978 Summary of Inherent Optical Properties at 605.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2876 0.4584 0.7459 0.6145 0.00978 0.02133 3 3.730 5.000 0.2876 0.4584 0.7459 0.6145 0.00978 0.02133 5 7.459 10.000 0.2876 0.4584 0.7459 0.6145 0.00978 0.02133 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.8645E-01 8 20.00 6.4648E-01 7 30.00 4.0009E-01 6 40.00 2.2146E-01 5 50.00 1.1589E-01 4 60.00 6.0288E-02 3 70.00 3.2396E-02 2 80.00 1.8482E-02 1 87.50 1.2630E-02 1 92.50 9.9093E-03 2 100.00 7.3232E-03 3 110.00 5.2343E-03 4 120.00 4.0187E-03 5 130.00 3.3045E-03 6 140.00 2.8812E-03 7 150.00 2.6317E-03 8 160.00 2.4893E-03 9 170.00 2.4165E-03 10 180.00 2.3914E-03 Asymptotic AOP values are MUu(inf) = 0.3735 MUd(inf) = 0.8102 MU(inf) = 0.7763 R(inf) = 0.0136 Lu(inf)/Ed(inf) = 0.002882 (1/sr) k(inf) = 0.3705 (1/m) absorp(check) = 0.2876 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 605.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.3905E-01 1.8895E+00 2.0285E+00 5.1722E-02 1.3657E+00 0.3720 0.7228 0.6477 3.7873E-02 1 0.00 0.00 4.0435E-02 1.4994E+00 1.5398E+00 1.6305E-02 1.3302E+00 0.4032 0.8872 0.8533 1.2257E-02 3 3.73 5.00 8.2892E-03 2.7575E-01 2.8404E-01 3.1756E-03 2.2821E-01 0.3831 0.8276 0.7923 1.3915E-02 5 7.46 10.00 1.4772E-03 4.5209E-02 4.6686E-02 5.6925E-04 3.6733E-02 0.3854 0.8125 0.7746 1.5497E-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 0.23244 0.29602 0.29435 0.28028 0.33603 0.33673 0.32176 5.000 5.010 5.005 0.34215 0.35575 0.35535 0.34382 0.36164 0.36189 0.34619 10.000 10.010 10.005 0.34347 0.36546 0.36476 0.33976 0.36771 0.36815 0.33348 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 605.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 9.71580E-02 2.06762E-03 7.59453E-03 9.66215E-03 1.51401E-03 0.078167 9 1 10.0 0.0 180.0 5.99505E-02 2.12077E-03 2.20375E-03 4.32452E-03 1.55292E-03 0.036759 9 4 10.0 45.0 135.0 6.58694E-02 2.10448E-03 2.56222E-03 4.66670E-03 1.54100E-03 0.038899 9 7 10.0 90.0 90.0 8.89950E-02 2.08379E-03 5.44376E-03 7.52756E-03 1.52585E-03 0.061169 8 1 20.0 0.0 180.0 4.70903E-02 2.15304E-03 1.15239E-03 3.30542E-03 1.57655E-03 0.024472 8 4 20.0 45.0 135.0 5.24241E-02 2.11909E-03 1.36131E-03 3.48040E-03 1.55169E-03 0.025967 8 7 20.0 90.0 90.0 7.70872E-02 2.09098E-03 3.14956E-03 5.24055E-03 1.53111E-03 0.040857 7 1 30.0 0.0 180.0 4.08298E-02 2.19483E-03 9.82865E-04 3.17770E-03 1.60715E-03 0.024072 7 4 30.0 45.0 135.0 4.52693E-02 2.17421E-03 1.10439E-03 3.27860E-03 1.59206E-03 0.024396 7 7 30.0 90.0 90.0 6.59988E-02 2.12783E-03 1.92477E-03 4.05259E-03 1.55809E-03 0.029164 6 1 40.0 0.0 180.0 3.87552E-02 2.22694E-03 1.09282E-03 3.31977E-03 1.63067E-03 0.028198 6 4 40.0 45.0 135.0 4.23767E-02 2.19857E-03 1.18524E-03 3.38381E-03 1.60989E-03 0.027969 6 7 40.0 90.0 90.0 5.94963E-02 2.15115E-03 1.71848E-03 3.86963E-03 1.57517E-03 0.028884 5 1 50.0 0.0 180.0 4.06335E-02 2.26731E-03 1.72630E-03 3.99361E-03 1.66023E-03 0.042485 5 4 50.0 45.0 135.0 4.33005E-02 2.22473E-03 1.79848E-03 4.02322E-03 1.62905E-03 0.041535 5 7 50.0 90.0 90.0 5.75571E-02 2.18442E-03 2.32510E-03 4.50952E-03 1.59953E-03 0.040396 4 1 60.0 0.0 180.0 4.82326E-02 2.24589E-03 4.02147E-03 6.26737E-03 1.64455E-03 0.083377 4 4 60.0 45.0 135.0 4.93242E-02 2.19991E-03 3.97113E-03 6.17104E-03 1.61088E-03 0.080511 4 7 60.0 90.0 90.0 6.09089E-02 2.19373E-03 4.63738E-03 6.83111E-03 1.60635E-03 0.076136 3 1 70.0 0.0 180.0 6.69231E-02 2.09566E-03 1.11084E-02 1.32040E-02 1.53454E-03 0.165987 3 4 70.0 45.0 135.0 6.50395E-02 2.07604E-03 1.06883E-02 1.27644E-02 1.52017E-03 0.164336 3 7 70.0 90.0 90.0 7.27126E-02 2.08289E-03 1.16230E-02 1.37059E-02 1.52519E-03 0.159849 2 1 80.0 0.0 180.0 1.13703E-01 1.80490E-03 2.76121E-02 2.94170E-02 1.32163E-03 0.242843 2 4 80.0 45.0 135.0 1.05287E-01 1.78512E-03 2.67066E-02 2.84918E-02 1.30715E-03 0.253655 2 7 80.0 90.0 90.0 1.04604E-01 1.80264E-03 2.79691E-02 2.97718E-02 1.31998E-03 0.267382 1 1 87.5 0.0 180.0 1.83838E-01 1.46255E-03 4.86978E-02 5.01603E-02 1.07094E-03 0.264896 1 4 87.5 45.0 135.0 1.65523E-01 1.37895E-03 4.83971E-02 4.97761E-02 1.00973E-03 0.292389 1 7 87.5 90.0 90.0 1.50590E-01 1.55210E-03 4.95313E-02 5.10834E-02 1.13652E-03 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 605.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 9.662E-03 9.716E-02 1.170E-01 1.008E-01 1.513E-01 7.075E-03 5.353E+00 2.068E-03 1.514E-03 1 0.00 0.00 3.836E-03 1.808E-01 8.269E-03 1.018E-02 1.552E-02 2.884E-03 4.250E+00 3 3.73 5.00 7.018E-04 1.188E-01 1.949E-03 2.648E-03 4.468E-03 3.075E-03 4.525E+00 5 7.46 10.00 1.272E-04 2.889E-02 3.715E-04 4.830E-04 7.365E-04 3.462E-03 4.476E+00 Waveband 26 of 40 completed in 4.2 sec. * * * * * Output for wavelength band 27 (610.0 to 620.0 nm; nominal wavelength = 615.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 36.8 m at 615.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 610.0 nm to 620.0 nm: Ed(diffuse) = 3.486E-01 Ed(direct) = 9.845E-01 Ed(total) = 1.333E+00 Absorption Coefficients of Individual Components at 615.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2678 0.0268 0.0018 0.2964 3 3.736 5.000 0.2678 0.0268 0.0018 0.2964 5 7.472 10.000 0.2678 0.0268 0.0018 0.2964 Scattering Coefficients of Individual Components at 615.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0012 0.4497 0.0000 0.4508 3 3.736 5.000 0.0012 0.4497 0.0000 0.4508 5 7.472 10.000 0.0012 0.4497 0.0000 0.4508 Backscattering Coefficients of Individual Components at 615.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00059 0.00899 0.00000 0.00958 3 3.736 5.000 0.00059 0.00899 0.00000 0.00958 5 7.472 10.000 0.00059 0.00899 0.00000 0.00958 Summary of Inherent Optical Properties at 615.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2964 0.4508 0.7472 0.6034 0.00958 0.02126 3 3.736 5.000 0.2964 0.4508 0.7472 0.6034 0.00958 0.02126 5 7.472 10.000 0.2964 0.4508 0.7472 0.6034 0.00958 0.02126 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.8307E-01 8 20.00 6.3782E-01 7 30.00 3.8947E-01 6 40.00 2.1248E-01 5 50.00 1.0972E-01 4 60.00 5.6478E-02 3 70.00 3.0120E-02 2 80.00 1.7099E-02 1 87.50 1.1658E-02 1 92.50 9.1399E-03 2 100.00 6.7487E-03 3 110.00 4.8212E-03 4 120.00 3.7026E-03 5 130.00 3.0470E-03 6 140.00 2.6595E-03 7 150.00 2.4317E-03 8 160.00 2.3022E-03 9 170.00 2.2361E-03 10 180.00 2.2134E-03 Asymptotic AOP values are MUu(inf) = 0.3736 MUd(inf) = 0.8141 MU(inf) = 0.7818 R(inf) = 0.0129 Lu(inf)/Ed(inf) = 0.002732 (1/sr) k(inf) = 0.3791 (1/m) absorp(check) = 0.2964 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 615.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.3438E-01 1.8420E+00 1.9764E+00 5.0030E-02 1.3331E+00 0.3723 0.7237 0.6492 3.7529E-02 1 0.00 0.00 3.7481E-02 1.4619E+00 1.4993E+00 1.5084E-02 1.2982E+00 0.4024 0.8880 0.8558 1.1619E-02 3 3.74 5.00 7.3073E-03 2.5606E-01 2.6337E-01 2.7975E-03 2.1258E-01 0.3828 0.8302 0.7965 1.3160E-02 5 7.47 10.00 1.2458E-03 4.0084E-02 4.1330E-02 4.8028E-04 3.2699E-02 0.3855 0.8157 0.7795 1.4688E-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 0.24177 0.30600 0.30439 0.29014 0.34543 0.34608 0.33140 5.000 5.010 5.005 0.35161 0.36517 0.36479 0.35311 0.37082 0.37105 0.35519 10.000 10.010 10.005 0.35161 0.37457 0.37388 0.34755 0.37672 0.37715 0.34075 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 615.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 9.40678E-02 1.91186E-03 7.40839E-03 9.32025E-03 1.43414E-03 0.078756 9 1 10.0 0.0 180.0 5.80437E-02 1.96154E-03 2.14110E-03 4.10264E-03 1.47141E-03 0.036888 9 4 10.0 45.0 135.0 6.37743E-02 1.94628E-03 2.49030E-03 4.43658E-03 1.45995E-03 0.039049 9 7 10.0 90.0 90.0 8.61644E-02 1.92667E-03 5.30490E-03 7.23157E-03 1.44525E-03 0.061567 8 1 20.0 0.0 180.0 4.55925E-02 1.99156E-03 1.11611E-03 3.10767E-03 1.49392E-03 0.024480 8 4 20.0 45.0 135.0 5.07567E-02 1.95981E-03 1.31899E-03 3.27880E-03 1.47011E-03 0.025986 8 7 20.0 90.0 90.0 7.46354E-02 1.93304E-03 3.06243E-03 4.99547E-03 1.45003E-03 0.041032 7 1 30.0 0.0 180.0 3.95312E-02 2.03028E-03 9.51604E-04 2.98188E-03 1.52297E-03 0.024072 7 4 30.0 45.0 135.0 4.38298E-02 2.01072E-03 1.06931E-03 3.08003E-03 1.50829E-03 0.024397 7 7 30.0 90.0 90.0 6.38979E-02 1.96677E-03 1.86611E-03 3.83288E-03 1.47532E-03 0.029205 6 1 40.0 0.0 180.0 3.75225E-02 2.05985E-03 1.05807E-03 3.11791E-03 1.54515E-03 0.028198 6 4 40.0 45.0 135.0 4.10289E-02 2.03296E-03 1.14754E-03 3.18051E-03 1.52498E-03 0.027969 6 7 40.0 90.0 90.0 5.76039E-02 1.98780E-03 1.66399E-03 3.65179E-03 1.49110E-03 0.028887 5 1 50.0 0.0 180.0 3.93411E-02 2.09695E-03 1.67139E-03 3.76834E-03 1.57298E-03 0.042485 5 4 50.0 45.0 135.0 4.19233E-02 2.05684E-03 1.74128E-03 3.79812E-03 1.54289E-03 0.041535 5 7 50.0 90.0 90.0 5.57265E-02 2.01817E-03 2.25115E-03 4.26932E-03 1.51388E-03 0.040396 4 1 60.0 0.0 180.0 4.66985E-02 2.07689E-03 3.89357E-03 5.97045E-03 1.55793E-03 0.083377 4 4 60.0 45.0 135.0 4.77554E-02 2.03359E-03 3.84482E-03 5.87842E-03 1.52545E-03 0.080511 4 7 60.0 90.0 90.0 5.89717E-02 2.02647E-03 4.48988E-03 6.51636E-03 1.52011E-03 0.076136 3 1 70.0 0.0 180.0 6.47946E-02 1.93772E-03 1.07551E-02 1.26928E-02 1.45353E-03 0.165987 3 4 70.0 45.0 135.0 6.29709E-02 1.91884E-03 1.03484E-02 1.22672E-02 1.43937E-03 0.164336 3 7 70.0 90.0 90.0 7.03999E-02 1.92400E-03 1.12534E-02 1.31774E-02 1.44324E-03 0.159849 2 1 80.0 0.0 180.0 1.10087E-01 1.66871E-03 2.67339E-02 2.84026E-02 1.25175E-03 0.242843 2 4 80.0 45.0 135.0 1.01938E-01 1.64983E-03 2.58572E-02 2.75070E-02 1.23758E-03 0.253655 2 7 80.0 90.0 90.0 1.01277E-01 1.66518E-03 2.70795E-02 2.87447E-02 1.24909E-03 0.267382 1 1 87.5 0.0 180.0 1.77990E-01 1.35215E-03 4.71489E-02 4.85011E-02 1.01428E-03 0.264896 1 4 87.5 45.0 135.0 1.60258E-01 1.27443E-03 4.68578E-02 4.81323E-02 9.55985E-04 0.292389 1 7 87.5 90.0 90.0 1.45800E-01 1.43395E-03 4.79559E-02 4.93899E-02 1.07565E-03 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 615.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 9.320E-03 9.407E-02 1.132E-01 9.759E-02 1.465E-01 6.991E-03 5.368E+00 1.912E-03 1.434E-03 1 0.00 0.00 3.547E-03 1.750E-01 7.680E-03 9.470E-03 1.449E-02 2.733E-03 4.252E+00 3 3.74 5.00 6.190E-04 1.102E-01 1.719E-03 2.340E-03 3.962E-03 2.912E-03 4.519E+00 5 7.47 10.00 1.076E-04 2.579E-02 3.129E-04 4.074E-04 6.233E-04 3.292E-03 4.462E+00 Waveband 27 of 40 completed in 4.3 sec. * * * * * Output for wavelength band 28 (620.0 to 630.0 nm; nominal wavelength = 625.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 36.4 m at 625.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 620.0 nm to 630.0 nm: Ed(diffuse) = 3.421E-01 Ed(direct) = 9.764E-01 Ed(total) = 1.319E+00 Absorption Coefficients of Individual Components at 625.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2834 0.0299 0.0015 0.3148 3 3.792 5.000 0.2834 0.0299 0.0015 0.3148 5 7.584 10.000 0.2834 0.0299 0.0015 0.3148 Scattering Coefficients of Individual Components at 625.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0011 0.4425 0.0000 0.4436 3 3.792 5.000 0.0011 0.4425 0.0000 0.4436 5 7.584 10.000 0.0011 0.4425 0.0000 0.4436 Backscattering Coefficients of Individual Components at 625.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00055 0.00885 0.00000 0.00940 3 3.792 5.000 0.00055 0.00885 0.00000 0.00940 5 7.584 10.000 0.00055 0.00885 0.00000 0.00940 Summary of Inherent Optical Properties at 625.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3148 0.4436 0.7584 0.5849 0.00940 0.02119 3 3.792 5.000 0.3148 0.4436 0.7584 0.5849 0.00940 0.02119 5 7.584 10.000 0.3148 0.4436 0.7584 0.5849 0.00940 0.02119 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.7727E-01 8 20.00 6.2323E-01 7 30.00 3.7196E-01 6 40.00 1.9804E-01 5 50.00 1.0005E-01 4 60.00 5.0625E-02 3 70.00 2.6681E-02 2 80.00 1.5034E-02 1 87.50 1.0216E-02 1 92.50 8.0023E-03 2 100.00 5.9029E-03 3 110.00 4.2156E-03 4 120.00 3.2406E-03 5 130.00 2.6714E-03 6 140.00 2.3364E-03 7 150.00 2.1405E-03 8 160.00 2.0296E-03 9 170.00 1.9733E-03 10 180.00 1.9540E-03 Asymptotic AOP values are MUu(inf) = 0.3741 MUd(inf) = 0.8206 MU(inf) = 0.7906 R(inf) = 0.0117 Lu(inf)/Ed(inf) = 0.002510 (1/sr) k(inf) = 0.3983 (1/m) absorp(check) = 0.3149 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 625.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.3129E-01 1.8196E+00 1.9509E+00 4.8875E-02 1.3185E+00 0.3723 0.7246 0.6508 3.7068E-02 1 0.00 0.00 3.4149E-02 1.4433E+00 1.4775E+00 1.3706E-02 1.2833E+00 0.4014 0.8892 0.8593 1.0680E-02 3 3.79 5.00 5.9953E-03 2.2774E-01 2.3373E-01 2.2953E-03 1.8994E-01 0.3828 0.8340 0.8028 1.2084E-02 5 7.58 10.00 9.3490E-04 3.2225E-02 3.3160E-02 3.6193E-04 2.6444E-02 0.3871 0.8206 0.7866 1.3687E-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 0.26174 0.32672 0.32522 0.31052 0.36557 0.36616 0.35155 5.000 5.010 5.005 0.37142 0.38569 0.38532 0.37237 0.39092 0.39115 0.37356 10.000 10.010 10.005 0.36676 0.39446 0.39368 0.36147 0.39646 0.39695 0.35272 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 625.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 9.23208E-02 1.73737E-03 7.32262E-03 9.05999E-03 1.31766E-03 0.079317 9 1 10.0 0.0 180.0 5.69657E-02 1.78333E-03 2.10829E-03 3.89162E-03 1.35252E-03 0.037010 9 4 10.0 45.0 135.0 6.25899E-02 1.76914E-03 2.45300E-03 4.22215E-03 1.34176E-03 0.039192 9 7 10.0 90.0 90.0 8.45642E-02 1.75059E-03 5.23844E-03 6.98903E-03 1.32769E-03 0.061946 8 1 20.0 0.0 180.0 4.47458E-02 1.81086E-03 1.09573E-03 2.90659E-03 1.37340E-03 0.024488 8 4 20.0 45.0 135.0 4.98141E-02 1.78146E-03 1.29540E-03 3.07687E-03 1.35110E-03 0.026005 8 7 20.0 90.0 90.0 7.32493E-02 1.75593E-03 3.01775E-03 4.77367E-03 1.33174E-03 0.041198 7 1 30.0 0.0 180.0 3.87970E-02 1.84612E-03 9.33930E-04 2.78005E-03 1.40014E-03 0.024072 7 4 30.0 45.0 135.0 4.30160E-02 1.82759E-03 1.04950E-03 2.87708E-03 1.38609E-03 0.024398 7 7 30.0 90.0 90.0 6.27096E-02 1.78599E-03 1.83385E-03 3.61984E-03 1.35454E-03 0.029244 6 1 40.0 0.0 180.0 3.68257E-02 1.87275E-03 1.03842E-03 2.91117E-03 1.42034E-03 0.028198 6 4 40.0 45.0 135.0 4.02669E-02 1.84733E-03 1.12623E-03 2.97357E-03 1.40106E-03 0.027969 6 7 40.0 90.0 90.0 5.65341E-02 1.80419E-03 1.63324E-03 3.43743E-03 1.36834E-03 0.028890 5 1 50.0 0.0 180.0 3.86105E-02 1.90607E-03 1.64035E-03 3.54642E-03 1.44561E-03 0.042485 5 4 50.0 45.0 135.0 4.11447E-02 1.86849E-03 1.70894E-03 3.57743E-03 1.41711E-03 0.041535 5 7 50.0 90.0 90.0 5.46915E-02 1.83103E-03 2.20934E-03 4.04037E-03 1.38870E-03 0.040396 4 1 60.0 0.0 180.0 4.58313E-02 1.88738E-03 3.82126E-03 5.70864E-03 1.43144E-03 0.083377 4 4 60.0 45.0 135.0 4.68685E-02 1.84683E-03 3.77342E-03 5.62025E-03 1.40068E-03 0.080511 4 7 60.0 90.0 90.0 5.78765E-02 1.83794E-03 4.40650E-03 6.24444E-03 1.39394E-03 0.076136 3 1 70.0 0.0 180.0 6.35912E-02 1.76047E-03 1.05553E-02 1.23158E-02 1.33518E-03 0.165987 3 4 70.0 45.0 135.0 6.18014E-02 1.74215E-03 1.01562E-02 1.18983E-02 1.32128E-03 0.164336 3 7 70.0 90.0 90.0 6.90925E-02 1.74463E-03 1.10444E-02 1.27890E-02 1.32317E-03 0.159849 2 1 80.0 0.0 180.0 1.08042E-01 1.51577E-03 2.62374E-02 2.77532E-02 1.14960E-03 0.242843 2 4 80.0 45.0 135.0 1.00045E-01 1.49761E-03 2.53770E-02 2.68746E-02 1.13582E-03 0.253655 2 7 80.0 90.0 90.0 9.93957E-02 1.50981E-03 2.65766E-02 2.80864E-02 1.14508E-03 0.267382 1 1 87.5 0.0 180.0 1.74685E-01 1.22808E-03 4.62733E-02 4.75014E-02 9.31403E-04 0.264896 1 4 87.5 45.0 135.0 1.57282E-01 1.15675E-03 4.59876E-02 4.71443E-02 8.77309E-04 0.292389 1 7 87.5 90.0 90.0 1.43092E-01 1.30030E-03 4.70653E-02 4.83656E-02 9.86175E-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 9.060E-03 9.232E-02 1.111E-01 9.573E-02 1.437E-01 6.871E-03 5.395E+00 1.737E-03 1.318E-03 1 0.00 0.00 3.224E-03 1.718E-01 7.021E-03 8.674E-03 1.334E-02 2.512E-03 4.252E+00 3 3.79 5.00 5.100E-04 9.845E-02 1.412E-03 1.925E-03 3.270E-03 2.685E-03 4.501E+00 5 7.58 10.00 8.199E-05 2.109E-02 2.338E-04 3.041E-04 4.653E-04 3.100E-03 4.414E+00 Waveband 28 of 40 completed in 4.4 sec. * * * * * Output for wavelength band 29 (630.0 to 640.0 nm; nominal wavelength = 635.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 35.9 m at 635.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 630.0 nm to 640.0 nm: Ed(diffuse) = 3.354E-01 Ed(direct) = 9.668E-01 Ed(total) = 1.302E+00 Absorption Coefficients of Individual Components at 635.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3012 0.0340 0.0013 0.3366 3 3.865 5.000 0.3012 0.0340 0.0013 0.3366 5 7.731 10.000 0.3012 0.0340 0.0013 0.3366 Scattering Coefficients of Individual Components at 635.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0010 0.4355 0.0000 0.4365 3 3.865 5.000 0.0010 0.4355 0.0000 0.4365 5 7.731 10.000 0.0010 0.4355 0.0000 0.4365 Backscattering Coefficients of Individual Components at 635.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00051 0.00871 0.00000 0.00922 3 3.865 5.000 0.00051 0.00871 0.00000 0.00922 5 7.731 10.000 0.00051 0.00871 0.00000 0.00922 Summary of Inherent Optical Properties at 635.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3366 0.4365 0.7731 0.5646 0.00922 0.02113 3 3.865 5.000 0.3366 0.4365 0.7731 0.5646 0.00922 0.02113 5 7.731 10.000 0.3366 0.4365 0.7731 0.5646 0.00922 0.02113 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.7067E-01 8 20.00 6.0697E-01 7 30.00 3.5306E-01 6 40.00 1.8296E-01 5 50.00 9.0256E-02 4 60.00 4.4847E-02 3 70.00 2.3351E-02 2 80.00 1.3061E-02 1 87.50 8.8474E-03 1 92.50 6.9256E-03 2 100.00 5.1046E-03 3 110.00 3.6453E-03 4 120.00 2.8057E-03 5 130.00 2.3175E-03 6 140.00 2.0315E-03 7 150.00 1.8651E-03 8 160.00 1.7715E-03 9 170.00 1.7243E-03 10 180.00 1.7081E-03 Asymptotic AOP values are MUu(inf) = 0.3748 MUd(inf) = 0.8274 MU(inf) = 0.7998 R(inf) = 0.0107 Lu(inf)/Ed(inf) = 0.002293 (1/sr) k(inf) = 0.4209 (1/m) absorp(check) = 0.3366 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 635.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.2813E-01 1.7950E+00 1.9231E+00 4.7691E-02 1.3022E+00 0.3722 0.7255 0.6524 3.6622E-02 1 0.00 0.00 3.0899E-02 1.4231E+00 1.4540E+00 1.2370E-02 1.2669E+00 0.4003 0.8903 0.8628 9.7637E-03 3 3.87 5.00 4.8064E-03 1.9858E-01 2.0339E-01 1.8421E-03 1.6641E-01 0.3833 0.8380 0.8092 1.1070E-02 5 7.73 10.00 6.8290E-04 2.4955E-02 2.5638E-02 2.6670E-04 2.0602E-02 0.3905 0.8256 0.7932 1.2945E-02 K-functions (units of 1/meter) at 635.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.28508 0.35112 0.34972 0.33437 0.38934 0.38988 0.37504 5.000 5.010 5.005 0.39376 0.40982 0.40944 0.39383 0.41464 0.41487 0.39352 10.000 10.010 10.005 0.38011 0.41775 0.41675 0.37242 0.41966 0.42028 0.35998 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 635.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 9.05048E-02 1.56868E-03 7.22775E-03 8.79643E-03 1.20460E-03 0.079860 9 1 10.0 0.0 180.0 5.58452E-02 1.61092E-03 2.07342E-03 3.68434E-03 1.23704E-03 0.037128 9 4 10.0 45.0 135.0 6.13587E-02 1.59782E-03 2.41324E-03 4.01106E-03 1.22698E-03 0.039330 9 7 10.0 90.0 90.0 8.29008E-02 1.58039E-03 5.16582E-03 6.74620E-03 1.21359E-03 0.062313 8 1 20.0 0.0 180.0 4.38656E-02 1.63598E-03 1.07451E-03 2.71049E-03 1.25628E-03 0.024496 8 4 20.0 45.0 135.0 4.88342E-02 1.60894E-03 1.27079E-03 2.87973E-03 1.23551E-03 0.026022 8 7 20.0 90.0 90.0 7.18084E-02 1.58477E-03 2.96995E-03 4.55472E-03 1.21695E-03 0.041359 7 1 30.0 0.0 180.0 3.80338E-02 1.66785E-03 9.15559E-04 2.58341E-03 1.28075E-03 0.024072 7 4 30.0 45.0 135.0 4.21701E-02 1.65043E-03 1.02889E-03 2.67932E-03 1.26738E-03 0.024399 7 7 30.0 90.0 90.0 6.14745E-02 1.61134E-03 1.80005E-03 3.41139E-03 1.23736E-03 0.029281 6 1 40.0 0.0 180.0 3.61013E-02 1.69163E-03 1.01799E-03 2.70962E-03 1.29901E-03 0.028198 6 4 40.0 45.0 135.0 3.94748E-02 1.66777E-03 1.10408E-03 2.77185E-03 1.28069E-03 0.027969 6 7 40.0 90.0 90.0 5.54220E-02 1.62686E-03 1.60126E-03 3.22812E-03 1.24927E-03 0.028892 5 1 50.0 0.0 180.0 3.78510E-02 1.72128E-03 1.60808E-03 3.32937E-03 1.32178E-03 0.042485 5 4 50.0 45.0 135.0 4.03354E-02 1.68632E-03 1.67533E-03 3.36164E-03 1.29493E-03 0.041535 5 7 50.0 90.0 90.0 5.36157E-02 1.65032E-03 2.16588E-03 3.81620E-03 1.26729E-03 0.040396 4 1 60.0 0.0 180.0 4.49297E-02 1.70394E-03 3.74609E-03 5.45003E-03 1.30847E-03 0.083377 4 4 60.0 45.0 135.0 4.59466E-02 1.66621E-03 3.69919E-03 5.36540E-03 1.27949E-03 0.080511 4 7 60.0 90.0 90.0 5.67380E-02 1.65588E-03 4.31982E-03 5.97570E-03 1.27156E-03 0.076136 3 1 70.0 0.0 180.0 6.23404E-02 1.58888E-03 1.03477E-02 1.19366E-02 1.22011E-03 0.165987 3 4 70.0 45.0 135.0 6.05857E-02 1.57125E-03 9.95640E-03 1.15277E-02 1.20657E-03 0.164336 3 7 70.0 90.0 90.0 6.77334E-02 1.57138E-03 1.08271E-02 1.23985E-02 1.20667E-03 0.159849 2 1 80.0 0.0 180.0 1.05917E-01 1.36771E-03 2.57213E-02 2.70890E-02 1.05027E-03 0.242843 2 4 80.0 45.0 135.0 9.80772E-02 1.35037E-03 2.48778E-02 2.62282E-02 1.03696E-03 0.253655 2 7 80.0 90.0 90.0 9.74406E-02 1.35968E-03 2.60538E-02 2.74135E-02 1.04410E-03 0.267382 1 1 87.5 0.0 180.0 1.71249E-01 1.10794E-03 4.53631E-02 4.64710E-02 8.50794E-04 0.264896 1 4 87.5 45.0 135.0 1.54188E-01 1.04289E-03 4.50830E-02 4.61259E-02 8.00842E-04 0.292389 1 7 87.5 90.0 90.0 1.40277E-01 1.17104E-03 4.61395E-02 4.73105E-02 8.99251E-04 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 635.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 8.796E-03 9.050E-02 1.089E-01 9.379E-02 1.408E-01 6.755E-03 5.422E+00 1.569E-03 1.205E-03 1 0.00 0.00 2.911E-03 1.684E-01 6.375E-03 7.895E-03 1.220E-02 2.297E-03 4.250E+00 3 3.87 5.00 4.118E-04 8.638E-02 1.132E-03 1.544E-03 2.630E-03 2.475E-03 4.473E+00 5 7.73 10.00 6.155E-05 1.664E-02 1.692E-04 2.192E-04 3.341E-04 2.988E-03 4.333E+00 Waveband 29 of 40 completed in 4.4 sec. * * * * * Output for wavelength band 30 (640.0 to 650.0 nm; nominal wavelength = 645.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 35.4 m at 645.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 640.0 nm to 650.0 nm: Ed(diffuse) = 3.226E-01 Ed(direct) = 9.388E-01 Ed(total) = 1.261E+00 Absorption Coefficients of Individual Components at 645.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3250 0.0330 0.0012 0.3592 3 3.944 5.000 0.3250 0.0330 0.0012 0.3592 5 7.889 10.000 0.3250 0.0330 0.0012 0.3592 Scattering Coefficients of Individual Components at 645.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0010 0.4287 0.0000 0.4297 3 3.944 5.000 0.0010 0.4287 0.0000 0.4297 5 7.889 10.000 0.0010 0.4287 0.0000 0.4297 Backscattering Coefficients of Individual Components at 645.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00048 0.00857 0.00000 0.00906 3 3.944 5.000 0.00048 0.00857 0.00000 0.00906 5 7.889 10.000 0.00048 0.00857 0.00000 0.00906 Summary of Inherent Optical Properties at 645.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3592 0.4297 0.7889 0.5447 0.00906 0.02107 3 3.944 5.000 0.3592 0.4297 0.7889 0.5447 0.00906 0.02107 5 7.889 10.000 0.3592 0.4297 0.7889 0.5447 0.00906 0.02107 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.6388E-01 8 20.00 5.9062E-01 7 30.00 3.3465E-01 6 40.00 1.6878E-01 5 50.00 8.1337E-02 4 60.00 3.9723E-02 3 70.00 2.0453E-02 2 80.00 1.1366E-02 1 87.50 7.6783E-03 1 92.50 6.0078E-03 2 100.00 4.4258E-03 3 110.00 3.1611E-03 4 120.00 2.4363E-03 5 130.00 2.0165E-03 6 140.00 1.7716E-03 7 150.00 1.6299E-03 8 160.00 1.5507E-03 9 170.00 1.5109E-03 10 180.00 1.4973E-03 Asymptotic AOP values are MUu(inf) = 0.3755 MUd(inf) = 0.8339 MU(inf) = 0.8084 R(inf) = 0.0097 Lu(inf)/Ed(inf) = 0.002100 (1/sr) k(inf) = 0.4443 (1/m) absorp(check) = 0.3592 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 645.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.2279E-01 1.7368E+00 1.8596E+00 4.5700E-02 1.2614E+00 0.3722 0.7263 0.6538 3.6228E-02 1 0.00 0.00 2.7513E-02 1.3764E+00 1.4039E+00 1.0990E-02 1.2267E+00 0.3994 0.8912 0.8660 8.9585E-03 3 3.94 5.00 3.7858E-03 1.6910E-01 1.7289E-01 1.4543E-03 1.4235E-01 0.3842 0.8418 0.8149 1.0217E-02 5 7.89 10.00 4.9607E-04 1.8799E-02 1.9295E-02 1.9630E-04 1.5606E-02 0.3957 0.8301 0.7986 1.2579E-02 K-functions (units of 1/meter) at 645.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.30948 0.37654 0.37523 0.35904 0.41407 0.41457 0.39915 5.000 5.010 5.005 0.41567 0.43481 0.43439 0.41453 0.43924 0.43949 0.41220 10.000 10.010 10.005 0.38820 0.44170 0.44032 0.37720 0.44360 0.44445 0.36006 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 645.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 8.70599E-02 1.39469E-03 6.99727E-03 8.39196E-03 1.10563E-03 0.080373 9 1 10.0 0.0 180.0 5.37195E-02 1.43281E-03 2.00049E-03 3.43330E-03 1.13585E-03 0.037239 9 4 10.0 45.0 135.0 5.90232E-02 1.42094E-03 2.32910E-03 3.75003E-03 1.12644E-03 0.039461 9 7 10.0 90.0 90.0 7.97453E-02 1.40490E-03 4.99681E-03 6.40171E-03 1.11373E-03 0.062660 8 1 20.0 0.0 180.0 4.21959E-02 1.45522E-03 1.03392E-03 2.48914E-03 1.15362E-03 0.024503 8 4 20.0 45.0 135.0 4.69754E-02 1.43080E-03 1.22320E-03 2.65400E-03 1.13426E-03 0.026039 8 7 20.0 90.0 90.0 6.90751E-02 1.40843E-03 2.86741E-03 4.27584E-03 1.11653E-03 0.041511 7 1 30.0 0.0 180.0 3.65861E-02 1.48356E-03 8.80710E-04 2.36427E-03 1.17608E-03 0.024072 7 4 30.0 45.0 135.0 4.05652E-02 1.46754E-03 9.89768E-04 2.45730E-03 1.16338E-03 0.024399 7 7 30.0 90.0 90.0 5.91332E-02 1.43157E-03 1.73360E-03 3.16517E-03 1.13487E-03 0.029317 6 1 40.0 0.0 180.0 3.47272E-02 1.50444E-03 9.79240E-04 2.48368E-03 1.19263E-03 0.028198 6 4 40.0 45.0 135.0 3.79723E-02 1.48252E-03 1.06205E-03 2.54457E-03 1.17526E-03 0.027969 6 7 40.0 90.0 90.0 5.33125E-02 1.44459E-03 1.54045E-03 2.98504E-03 1.14519E-03 0.028895 5 1 50.0 0.0 180.0 3.64103E-02 1.53042E-03 1.54687E-03 3.07729E-03 1.21323E-03 0.042485 5 4 50.0 45.0 135.0 3.88001E-02 1.49851E-03 1.61156E-03 3.11007E-03 1.18794E-03 0.041535 5 7 50.0 90.0 90.0 5.15749E-02 1.46476E-03 2.08344E-03 3.54820E-03 1.16118E-03 0.040396 4 1 60.0 0.0 180.0 4.32196E-02 1.51458E-03 3.60350E-03 5.11808E-03 1.20067E-03 0.083377 4 4 60.0 45.0 135.0 4.41977E-02 1.48015E-03 3.55839E-03 5.03854E-03 1.17338E-03 0.080511 4 7 60.0 90.0 90.0 5.45784E-02 1.46910E-03 4.15539E-03 5.62449E-03 1.16462E-03 0.076136 3 1 70.0 0.0 180.0 5.99675E-02 1.41187E-03 9.95383E-03 1.13657E-02 1.11925E-03 0.165987 3 4 70.0 45.0 135.0 5.82796E-02 1.39533E-03 9.57743E-03 1.09728E-02 1.10614E-03 0.164336 3 7 70.0 90.0 90.0 6.51552E-02 1.39369E-03 1.04150E-02 1.18087E-02 1.10484E-03 0.159849 2 1 80.0 0.0 180.0 1.01886E-01 1.21503E-03 2.47423E-02 2.59573E-02 9.63212E-04 0.242843 2 4 80.0 45.0 135.0 9.43441E-02 1.19886E-03 2.39309E-02 2.51298E-02 9.50393E-04 0.253655 2 7 80.0 90.0 90.0 9.37317E-02 1.20570E-03 2.50621E-02 2.62678E-02 9.55808E-04 0.267382 1 1 87.5 0.0 180.0 1.64730E-01 9.84081E-04 4.36364E-02 4.46205E-02 7.80125E-04 0.264896 1 4 87.5 45.0 135.0 1.48319E-01 9.25732E-04 4.33670E-02 4.42927E-02 7.33869E-04 0.292389 1 7 87.5 90.0 90.0 1.34938E-01 1.03840E-03 4.43833E-02 4.54217E-02 8.23185E-04 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 645.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 8.392E-03 8.706E-02 1.047E-01 9.018E-02 1.354E-01 6.653E-03 5.446E+00 1.395E-03 1.106E-03 1 0.00 0.00 2.588E-03 1.620E-01 5.698E-03 7.068E-03 1.097E-02 2.110E-03 4.247E+00 3 3.94 5.00 3.277E-04 7.401E-02 8.904E-04 1.215E-03 2.070E-03 2.302E-03 4.438E+00 5 7.89 10.00 4.644E-05 1.277E-02 1.211E-04 1.556E-04 2.353E-04 2.976E-03 4.227E+00 Waveband 30 of 40 completed in 4.5 sec. * * * * * Output for wavelength band 31 (650.0 to 660.0 nm; nominal wavelength = 655.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 34.0 m at 655.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 650.0 nm to 660.0 nm: Ed(diffuse) = 3.062E-01 Ed(direct) = 8.991E-01 Ed(total) = 1.205E+00 Absorption Coefficients of Individual Components at 655.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3710 0.0392 0.0010 0.4112 3 4.171 5.000 0.3710 0.0392 0.0010 0.4112 5 8.343 10.000 0.3710 0.0392 0.0010 0.4112 Scattering Coefficients of Individual Components at 655.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0009 0.4222 0.0000 0.4231 3 4.171 5.000 0.0009 0.4222 0.0000 0.4231 5 8.343 10.000 0.0009 0.4222 0.0000 0.4231 Backscattering Coefficients of Individual Components at 655.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00045 0.00844 0.00000 0.00889 3 4.171 5.000 0.00045 0.00844 0.00000 0.00889 5 8.343 10.000 0.00045 0.00844 0.00000 0.00889 Summary of Inherent Optical Properties at 655.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.4112 0.4231 0.8343 0.5071 0.00889 0.02102 3 4.171 5.000 0.4112 0.4231 0.8343 0.5071 0.00889 0.02102 5 8.343 10.000 0.4112 0.4231 0.8343 0.5071 0.00889 0.02102 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.5016E-01 8 20.00 5.5877E-01 7 30.00 3.0054E-01 6 40.00 1.4384E-01 5 50.00 6.6357E-02 4 60.00 3.1422E-02 3 70.00 1.5877E-02 2 80.00 8.7336E-03 1 87.50 5.8779E-03 1 92.50 4.5986E-03 2 100.00 3.3870E-03 3 110.00 2.4221E-03 4 120.00 1.8727E-03 5 130.00 1.5566E-03 6 140.00 1.3737E-03 7 150.00 1.2691E-03 8 160.00 1.2112E-03 9 170.00 1.1825E-03 10 180.00 1.1727E-03 Asymptotic AOP values are MUu(inf) = 0.3771 MUd(inf) = 0.8457 MU(inf) = 0.8238 R(inf) = 0.0081 Lu(inf)/Ed(inf) = 0.001789 (1/sr) k(inf) = 0.4992 (1/m) absorp(check) = 0.4112 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 655.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.1574E-01 1.6578E+00 1.7735E+00 4.3026E-02 1.2053E+00 0.3717 0.7271 0.6554 3.5696E-02 1 0.00 0.00 2.2833E-02 1.3123E+00 1.3351E+00 9.1124E-03 1.1714E+00 0.3991 0.8927 0.8706 7.7789E-03 3 4.17 5.00 2.4884E-03 1.2023E-01 1.2272E-01 9.7506E-04 1.0193E-01 0.3918 0.8478 0.8226 9.5660E-03 5 8.34 10.00 3.2592E-04 1.0131E-02 1.0457E-02 1.3754E-04 8.4591E-03 0.4220 0.8349 0.7958 1.6259E-02 K-functions (units of 1/meter) at 655.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.36283 0.43485 0.43362 0.41156 0.47142 0.47189 0.44902 5.000 5.010 5.005 0.44716 0.49229 0.49138 0.43961 0.49625 0.49679 0.42813 10.000 10.010 10.005 0.35113 0.49394 0.48949 0.33130 0.49720 0.49994 0.30635 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 655.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 8.26289E-02 1.16310E-03 6.68238E-03 7.84548E-03 9.64957E-04 0.080872 9 1 10.0 0.0 180.0 5.09854E-02 1.19529E-03 1.90421E-03 3.09949E-03 9.91660E-04 0.037348 9 4 10.0 45.0 135.0 5.60192E-02 1.18519E-03 2.21768E-03 3.40287E-03 9.83286E-04 0.039588 9 7 10.0 90.0 90.0 7.56866E-02 1.17133E-03 4.76801E-03 5.93934E-03 9.71783E-04 0.062997 8 1 20.0 0.0 180.0 4.00483E-02 1.21387E-03 9.81576E-04 2.19545E-03 1.00708E-03 0.024510 8 4 20.0 45.0 135.0 4.45846E-02 1.19318E-03 1.16167E-03 2.35485E-03 9.89912E-04 0.026055 8 7 20.0 90.0 90.0 6.55595E-02 1.17368E-03 2.73118E-03 3.90485E-03 9.73733E-04 0.041660 7 1 30.0 0.0 180.0 3.47241E-02 1.23720E-03 8.35885E-04 2.07309E-03 1.02643E-03 0.024072 7 4 30.0 45.0 135.0 3.85009E-02 1.22338E-03 9.39428E-04 2.16281E-03 1.01497E-03 0.024400 7 7 30.0 90.0 90.0 5.61222E-02 1.19216E-03 1.64728E-03 2.83945E-03 9.89071E-04 0.029352 6 1 40.0 0.0 180.0 3.29597E-02 1.25387E-03 9.29401E-04 2.18327E-03 1.04026E-03 0.028198 6 4 40.0 45.0 135.0 3.60397E-02 1.23496E-03 1.00800E-03 2.24296E-03 1.02457E-03 0.027969 6 7 40.0 90.0 90.0 5.05991E-02 1.20162E-03 1.46217E-03 2.66379E-03 9.96913E-04 0.028897 5 1 50.0 0.0 180.0 3.45572E-02 1.27465E-03 1.46814E-03 2.74280E-03 1.05751E-03 0.042485 5 4 50.0 45.0 135.0 3.68253E-02 1.24728E-03 1.52954E-03 2.77681E-03 1.03480E-03 0.041535 5 7 50.0 90.0 90.0 4.89500E-02 1.21700E-03 1.97741E-03 3.19441E-03 1.00968E-03 0.040396 4 1 60.0 0.0 180.0 4.10199E-02 1.26054E-03 3.42010E-03 4.68064E-03 1.04580E-03 0.083377 4 4 60.0 45.0 135.0 4.19482E-02 1.23095E-03 3.37728E-03 4.60824E-03 1.02125E-03 0.080511 4 7 60.0 90.0 90.0 5.18006E-02 1.21920E-03 3.94390E-03 5.16310E-03 1.01150E-03 0.076136 3 1 70.0 0.0 180.0 5.69154E-02 1.17408E-03 9.44722E-03 1.06213E-02 9.74066E-04 0.165987 3 4 70.0 45.0 135.0 5.53134E-02 1.15932E-03 9.08998E-03 1.02493E-02 9.61822E-04 0.164336 3 7 70.0 90.0 90.0 6.18391E-02 1.15520E-03 9.88492E-03 1.10401E-02 9.58402E-04 0.159849 2 1 80.0 0.0 180.0 9.67001E-02 1.00963E-03 2.34830E-02 2.44926E-02 8.37633E-04 0.242843 2 4 80.0 45.0 135.0 8.95424E-02 9.95237E-04 2.27129E-02 2.37081E-02 8.25691E-04 0.253655 2 7 80.0 90.0 90.0 8.89611E-02 9.98354E-04 2.37866E-02 2.47849E-02 8.28278E-04 0.267382 1 1 87.5 0.0 180.0 1.56346E-01 8.17161E-04 4.14155E-02 4.22326E-02 6.77952E-04 0.264896 1 4 87.5 45.0 135.0 1.40771E-01 7.67933E-04 4.11598E-02 4.19277E-02 6.37110E-04 0.292389 1 7 87.5 90.0 90.0 1.28070E-01 8.59103E-04 4.21243E-02 4.29834E-02 7.12749E-04 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 655.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 7.845E-03 8.263E-02 9.929E-02 8.553E-02 1.284E-01 6.509E-03 5.484E+00 1.163E-03 9.650E-04 1 0.00 0.00 2.158E-03 1.537E-01 4.766E-03 5.910E-03 9.189E-03 1.842E-03 4.222E+00 3 4.17 5.00 2.276E-04 5.375E-02 5.762E-04 7.739E-04 1.297E-03 2.233E-03 4.283E+00 5 8.34 10.00 3.555E-05 7.132E-03 7.349E-05 8.908E-05 1.251E-04 4.202E-03 3.869E+00 Waveband 31 of 40 completed in 4.8 sec. * * * * * Output for wavelength band 32 (660.0 to 670.0 nm; nominal wavelength = 665.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 32.2 m at 665.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 660.0 nm to 670.0 nm: Ed(diffuse) = 3.168E-01 Ed(direct) = 9.381E-01 Ed(total) = 1.255E+00 Absorption Coefficients of Individual Components at 665.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.4290 0.0546 0.0009 0.4845 3 4.506 5.000 0.4290 0.0546 0.0009 0.4845 5 9.012 10.000 0.4290 0.0546 0.0009 0.4845 Scattering Coefficients of Individual Components at 665.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0008 0.4158 0.0000 0.4167 3 4.506 5.000 0.0008 0.4158 0.0000 0.4167 5 9.012 10.000 0.0008 0.4158 0.0000 0.4167 Backscattering Coefficients of Individual Components at 665.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00042 0.00832 0.00000 0.00874 3 4.506 5.000 0.00042 0.00832 0.00000 0.00874 5 9.012 10.000 0.00042 0.00832 0.00000 0.00874 Summary of Inherent Optical Properties at 665.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.4845 0.4167 0.9012 0.4624 0.00874 0.02097 3 4.506 5.000 0.4845 0.4167 0.9012 0.4624 0.00874 0.02097 5 9.012 10.000 0.4845 0.4167 0.9012 0.4624 0.00874 0.02097 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.3198E-01 8 20.00 5.1888E-01 7 30.00 2.6094E-01 6 40.00 1.1703E-01 5 50.00 5.1293E-02 4 60.00 2.3483E-02 3 70.00 1.1644E-02 2 80.00 6.3461E-03 1 87.50 4.2590E-03 1 92.50 3.3342E-03 2 100.00 2.4572E-03 3 110.00 1.7610E-03 4 120.00 1.3673E-03 5 130.00 1.1425E-03 6 140.00 1.0137E-03 7 150.00 9.4099E-04 8 160.00 9.0142E-04 9 170.00 8.8206E-04 10 180.00 8.7553E-04 Asymptotic AOP values are MUu(inf) = 0.3793 MUd(inf) = 0.8591 MU(inf) = 0.8408 R(inf) = 0.0066 Lu(inf)/Ed(inf) = 0.001481 (1/sr) k(inf) = 0.5763 (1/m) absorp(check) = 0.4846 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 665.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.1963E-01 1.7242E+00 1.8438E+00 4.4536E-02 1.2549E+00 0.3723 0.7278 0.6564 3.5491E-02 1 0.00 0.00 2.1894E-02 1.3645E+00 1.3864E+00 8.8754E-03 1.2192E+00 0.4054 0.8935 0.8730 7.2797E-03 3 4.51 5.00 2.4677E-03 8.3878E-02 8.6346E-02 1.0578E-03 7.1293E-02 0.4287 0.8500 0.8134 1.4838E-02 5 9.01 10.00 5.9970E-04 5.2852E-03 5.8849E-03 2.7950E-04 4.2627E-03 0.4661 0.8065 0.6768 6.5568E-02 K-functions (units of 1/meter) at 665.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.41727 0.51683 0.51525 0.45385 0.55192 0.55264 0.47685 5.000 5.010 5.005 0.37110 0.56672 0.56113 0.34890 0.57254 0.57591 0.32352 10.000 10.010 10.005 0.21928 0.52279 0.49182 0.21050 0.54293 0.56630 0.20216 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 665.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 8.54737E-02 1.16512E-03 6.95328E-03 8.11841E-03 9.28493E-04 0.081350 9 1 10.0 0.0 180.0 5.27408E-02 1.19507E-03 1.97525E-03 3.17032E-03 9.52356E-04 0.037452 9 4 10.0 45.0 135.0 5.79479E-02 1.18562E-03 2.30109E-03 3.48671E-03 9.44827E-04 0.039710 9 7 10.0 90.0 90.0 7.82924E-02 1.17306E-03 4.95743E-03 6.13049E-03 9.34822E-04 0.063319 8 1 20.0 0.0 180.0 4.14272E-02 1.21169E-03 1.01565E-03 2.22734E-03 9.65602E-04 0.024516 8 4 20.0 45.0 135.0 4.61196E-02 1.19213E-03 1.20238E-03 2.39451E-03 9.50013E-04 0.026071 8 7 20.0 90.0 90.0 6.78167E-02 1.17461E-03 2.83482E-03 4.00943E-03 9.36056E-04 0.041801 7 1 30.0 0.0 180.0 3.59196E-02 1.23292E-03 8.64664E-04 2.09758E-03 9.82518E-04 0.024072 7 4 30.0 45.0 135.0 3.98266E-02 1.22064E-03 9.71806E-04 2.19244E-03 9.72733E-04 0.024401 7 7 30.0 90.0 90.0 5.80532E-02 1.19187E-03 1.70588E-03 2.89776E-03 9.49812E-04 0.029385 6 1 40.0 0.0 180.0 3.40945E-02 1.24671E-03 9.61399E-04 2.20811E-03 9.93509E-04 0.028198 6 4 40.0 45.0 135.0 3.72805E-02 1.22969E-03 1.04270E-03 2.27240E-03 9.79948E-04 0.027969 6 7 40.0 90.0 90.0 5.23412E-02 1.19870E-03 1.51264E-03 2.71133E-03 9.55248E-04 0.028900 5 1 50.0 0.0 180.0 3.57469E-02 1.26478E-03 1.51869E-03 2.78347E-03 1.00791E-03 0.042485 5 4 50.0 45.0 135.0 3.80932E-02 1.23937E-03 1.58220E-03 2.82157E-03 9.87661E-04 0.041535 5 7 50.0 90.0 90.0 5.06353E-02 1.21052E-03 2.04549E-03 3.25601E-03 9.64671E-04 0.040396 4 1 60.0 0.0 180.0 4.24322E-02 1.24811E-03 3.53785E-03 4.78596E-03 9.94625E-04 0.083377 4 4 60.0 45.0 135.0 4.33925E-02 1.22039E-03 3.49356E-03 4.71395E-03 9.72534E-04 0.080511 4 7 60.0 90.0 90.0 5.35840E-02 1.20868E-03 4.07969E-03 5.28837E-03 9.63203E-04 0.076136 3 1 70.0 0.0 180.0 5.88749E-02 1.15955E-03 9.77248E-03 1.09320E-02 9.24053E-04 0.165987 3 4 70.0 45.0 135.0 5.72178E-02 1.14605E-03 9.40294E-03 1.05490E-02 9.13292E-04 0.164336 3 7 70.0 90.0 90.0 6.39682E-02 1.13996E-03 1.02252E-02 1.13652E-02 9.08443E-04 0.159849 2 1 80.0 0.0 180.0 1.00029E-01 9.94657E-04 2.42915E-02 2.52861E-02 7.92647E-04 0.242843 2 4 80.0 45.0 135.0 9.26253E-02 9.80964E-04 2.34949E-02 2.44759E-02 7.81736E-04 0.253655 2 7 80.0 90.0 90.0 9.20240E-02 9.80767E-04 2.46055E-02 2.55863E-02 7.81579E-04 0.267382 1 1 87.5 0.0 180.0 1.61729E-01 8.02888E-04 4.28414E-02 4.36443E-02 6.39826E-04 0.264896 1 4 87.5 45.0 135.0 1.45617E-01 7.54565E-04 4.25769E-02 4.33314E-02 6.01317E-04 0.292389 1 7 87.5 90.0 90.0 1.32480E-01 8.39804E-04 4.35746E-02 4.44144E-02 6.69245E-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 8.118E-03 8.547E-02 1.027E-01 8.845E-02 1.328E-01 6.470E-03 5.486E+00 1.165E-03 9.285E-04 1 0.00 0.00 2.162E-03 1.590E-01 4.599E-03 5.615E-03 8.542E-03 1.773E-03 4.105E+00 3 4.51 5.00 2.772E-04 3.830E-02 5.212E-04 6.339E-04 9.323E-04 3.888E-03 3.816E+00 5 9.01 10.00 7.985E-05 3.589E-03 1.154E-04 1.213E-04 1.347E-04 1.873E-02 3.500E+00 Waveband 32 of 40 completed in 5.0 sec. * * * * * Output for wavelength band 33 (670.0 to 680.0 nm; nominal wavelength = 675.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 31.9 m at 675.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 670.0 nm to 680.0 nm: Ed(diffuse) = 3.090E-01 Ed(direct) = 9.226E-01 Ed(total) = 1.232E+00 Absorption Coefficients of Individual Components at 675.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.4480 0.0557 0.0008 0.5044 3 4.575 5.000 0.4480 0.0557 0.0008 0.5044 5 9.149 10.000 0.4480 0.0557 0.0008 0.5044 Scattering Coefficients of Individual Components at 675.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0008 0.4097 0.0000 0.4105 3 4.575 5.000 0.0008 0.4097 0.0000 0.4105 5 9.149 10.000 0.0008 0.4097 0.0000 0.4105 Backscattering Coefficients of Individual Components at 675.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00040 0.00819 0.00000 0.00859 3 4.575 5.000 0.00040 0.00819 0.00000 0.00859 5 9.149 10.000 0.00040 0.00819 0.00000 0.00859 Summary of Inherent Optical Properties at 675.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.5044 0.4105 0.9149 0.4486 0.00859 0.02092 3 4.575 5.000 0.5044 0.4105 0.9149 0.4486 0.00859 0.02092 5 9.149 10.000 0.5044 0.4105 0.9149 0.4486 0.00859 0.02092 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.2593E-01 8 20.00 5.0618E-01 7 30.00 2.4905E-01 6 40.00 1.0943E-01 5 50.00 4.7222E-02 4 60.00 2.1409E-02 3 70.00 1.0561E-02 2 80.00 5.7423E-03 1 87.50 3.8510E-03 1 92.50 3.0156E-03 2 100.00 2.2227E-03 3 110.00 1.5938E-03 4 120.00 1.2389E-03 5 130.00 1.0366E-03 6 140.00 9.2111E-04 7 150.00 8.5613E-04 8 160.00 8.2096E-04 9 170.00 8.0384E-04 10 180.00 7.9807E-04 Asymptotic AOP values are MUu(inf) = 0.3798 MUd(inf) = 0.8631 MU(inf) = 0.8458 R(inf) = 0.0062 Lu(inf)/Ed(inf) = 0.001394 (1/sr) k(inf) = 0.5964 (1/m) absorp(check) = 0.5045 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 675.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.1916E-01 1.6906E+00 1.8097E+00 4.4824E-02 1.2316E+00 0.3762 0.7285 0.6558 3.6396E-02 1 0.00 0.00 2.6314E-02 1.3428E+00 1.3691E+00 1.1093E-02 1.1978E+00 0.4216 0.8920 0.8668 9.2605E-03 3 4.57 5.00 4.8086E-03 7.7247E-02 8.2056E-02 2.1956E-03 6.4651E-02 0.4566 0.8369 0.7611 3.3960E-02 5 9.15 10.00 1.6578E-03 5.8105E-03 7.4683E-03 7.8595E-04 4.2434E-03 0.4741 0.7303 0.4630 1.8521E-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 0.38207 0.53823 0.53522 0.39709 0.57199 0.57363 0.40022 5.000 5.010 5.005 0.26349 0.56710 0.54928 0.24874 0.58037 0.59204 0.23390 10.000 10.010 10.005 0.18773 0.43573 0.38063 0.18518 0.48139 0.54884 0.18287 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 675.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 8.33768E-02 1.53099E-03 6.82092E-03 8.35191E-03 1.24312E-03 0.081808 9 1 10.0 0.0 180.0 5.14469E-02 1.56267E-03 1.93192E-03 3.49459E-03 1.26884E-03 0.037552 9 4 10.0 45.0 135.0 5.65262E-02 1.55268E-03 2.25124E-03 3.80392E-03 1.26073E-03 0.039826 9 7 10.0 90.0 90.0 7.63717E-02 1.54137E-03 4.85946E-03 6.40082E-03 1.25154E-03 0.063629 8 1 20.0 0.0 180.0 4.04108E-02 1.57910E-03 9.90991E-04 2.57009E-03 1.28218E-03 0.024523 8 4 20.0 45.0 135.0 4.49881E-02 1.55763E-03 1.17356E-03 2.73119E-03 1.26475E-03 0.026086 8 7 20.0 90.0 90.0 6.61529E-02 1.54274E-03 2.77426E-03 4.31701E-03 1.25266E-03 0.041937 7 1 30.0 0.0 180.0 3.50384E-02 1.60171E-03 8.43451E-04 2.44516E-03 1.30054E-03 0.024072 7 4 30.0 45.0 135.0 3.88497E-02 1.59133E-03 9.47996E-04 2.53933E-03 1.29211E-03 0.024402 7 7 30.0 90.0 90.0 5.66278E-02 1.56408E-03 1.66580E-03 3.22989E-03 1.26999E-03 0.029417 6 1 40.0 0.0 180.0 3.32580E-02 1.61362E-03 9.37813E-04 2.55144E-03 1.31021E-03 0.028198 6 4 40.0 45.0 135.0 3.63659E-02 1.59852E-03 1.01712E-03 2.61564E-03 1.29795E-03 0.027969 6 7 40.0 90.0 90.0 5.10571E-02 1.56942E-03 1.47564E-03 3.04506E-03 1.27432E-03 0.028902 5 1 50.0 0.0 180.0 3.48699E-02 1.63201E-03 1.48143E-03 3.11344E-03 1.32514E-03 0.042485 5 4 50.0 45.0 135.0 3.71586E-02 1.60651E-03 1.54338E-03 3.14990E-03 1.30444E-03 0.041535 5 7 50.0 90.0 90.0 4.93930E-02 1.57877E-03 1.99530E-03 3.57408E-03 1.28191E-03 0.040396 4 1 60.0 0.0 180.0 4.13912E-02 1.60545E-03 3.45105E-03 5.05650E-03 1.30357E-03 0.083377 4 4 60.0 45.0 135.0 4.23279E-02 1.57693E-03 3.40785E-03 4.98479E-03 1.28042E-03 0.080511 4 7 60.0 90.0 90.0 5.22694E-02 1.56884E-03 3.97960E-03 5.54844E-03 1.27385E-03 0.076136 3 1 70.0 0.0 180.0 5.74306E-02 1.48589E-03 9.53273E-03 1.10186E-02 1.20650E-03 0.165987 3 4 70.0 45.0 135.0 5.58141E-02 1.47450E-03 9.17225E-03 1.06467E-02 1.19725E-03 0.164336 3 7 70.0 90.0 90.0 6.23988E-02 1.46861E-03 9.97439E-03 1.14430E-02 1.19246E-03 0.159849 2 1 80.0 0.0 180.0 9.75754E-02 1.26966E-03 2.36955E-02 2.49652E-02 1.03093E-03 0.242843 2 4 80.0 45.0 135.0 9.03529E-02 1.25629E-03 2.29185E-02 2.41748E-02 1.02006E-03 0.253655 2 7 80.0 90.0 90.0 8.97663E-02 1.25376E-03 2.40019E-02 2.52556E-02 1.01801E-03 0.267382 1 1 87.5 0.0 180.0 1.57761E-01 1.02032E-03 4.17903E-02 4.28107E-02 8.28472E-04 0.264896 1 4 87.5 45.0 135.0 1.42045E-01 9.61228E-04 4.15323E-02 4.24936E-02 7.80488E-04 0.292389 1 7 87.5 90.0 90.0 1.29229E-01 1.06370E-03 4.25056E-02 4.35693E-02 8.63688E-04 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 675.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 8.352E-03 8.338E-02 1.003E-01 8.640E-02 1.297E-01 6.781E-03 5.367E+00 1.531E-03 1.243E-03 1 0.00 0.00 2.841E-03 1.551E-01 5.493E-03 6.454E-03 9.185E-03 2.372E-03 3.904E+00 3 4.57 5.00 6.138E-04 3.432E-02 9.389E-04 1.032E-03 1.280E-03 9.494E-03 3.577E+00 5 9.15 10.00 2.275E-04 3.176E-03 3.086E-04 3.129E-04 3.230E-04 5.362E-02 3.454E+00 Waveband 33 of 40 completed in 4.9 sec. * * * * * Output for wavelength band 34 (680.0 to 690.0 nm; nominal wavelength = 685.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 31.4 m at 685.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 680.0 nm to 690.0 nm: Ed(diffuse) = 2.816E-01 Ed(direct) = 8.472E-01 Ed(total) = 1.129E+00 Absorption Coefficients of Individual Components at 685.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.4860 0.0433 0.0007 0.5300 3 4.672 5.000 0.4860 0.0433 0.0007 0.5300 5 9.344 10.000 0.4860 0.0433 0.0007 0.5300 Scattering Coefficients of Individual Components at 685.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0007 0.4037 0.0000 0.4044 3 4.672 5.000 0.0007 0.4037 0.0000 0.4044 5 9.344 10.000 0.0007 0.4037 0.0000 0.4044 Backscattering Coefficients of Individual Components at 685.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00037 0.00807 0.00000 0.00844 3 4.672 5.000 0.00037 0.00807 0.00000 0.00844 5 9.344 10.000 0.00037 0.00807 0.00000 0.00844 Summary of Inherent Optical Properties at 685.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.5300 0.4044 0.9344 0.4328 0.00844 0.02088 3 4.672 5.000 0.5300 0.4044 0.9344 0.4328 0.00844 0.02088 5 9.344 10.000 0.5300 0.4044 0.9344 0.4328 0.00844 0.02088 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.1864E-01 8 20.00 4.9124E-01 7 30.00 2.3548E-01 6 40.00 1.0102E-01 5 50.00 4.2822E-02 4 60.00 1.9205E-02 3 70.00 9.4220E-03 2 80.00 5.1109E-03 1 87.50 3.4255E-03 1 92.50 2.6834E-03 2 100.00 1.9785E-03 3 110.00 1.4198E-03 4 120.00 1.1051E-03 5 130.00 9.2618E-04 6 140.00 8.2444E-04 7 150.00 7.6746E-04 8 160.00 7.3679E-04 9 170.00 7.2195E-04 10 180.00 7.1697E-04 Asymptotic AOP values are MUu(inf) = 0.3805 MUd(inf) = 0.8676 MU(inf) = 0.8515 R(inf) = 0.0058 Lu(inf)/Ed(inf) = 0.001302 (1/sr) k(inf) = 0.6225 (1/m) absorp(check) = 0.5300 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 685.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.1048E-01 1.5481E+00 1.6586E+00 4.1912E-02 1.1288E+00 0.3794 0.7291 0.6553 3.7130E-02 1 0.00 0.00 2.7664E-02 1.2334E+00 1.2610E+00 1.1938E-02 1.0988E+00 0.4315 0.8909 0.8619 1.0864E-02 3 4.67 5.00 6.1285E-03 6.4486E-02 7.0615E-02 2.8547E-03 5.3149E-02 0.4658 0.8242 0.7122 5.3711E-02 5 9.34 10.00 2.2997E-03 5.5819E-03 7.8817E-03 1.0957E-03 3.7699E-03 0.4765 0.6754 0.3393 2.9065E-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 0.36789 0.56587 0.56152 0.37166 0.59838 0.60087 0.36621 5.000 5.010 5.005 0.23141 0.57175 0.54217 0.22128 0.59279 0.61392 0.21128 10.000 10.010 10.005 0.18164 0.37369 0.31761 0.18034 0.42908 0.53118 0.17922 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 685.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 7.59819E-02 1.69483E-03 6.24883E-03 7.94366E-03 1.50145E-03 0.082241 9 1 10.0 0.0 180.0 4.68840E-02 1.72532E-03 1.76499E-03 3.49031E-03 1.52846E-03 0.037646 9 4 10.0 45.0 135.0 5.15128E-02 1.71571E-03 2.05725E-03 3.77295E-03 1.51994E-03 0.039937 9 7 10.0 90.0 90.0 6.95981E-02 1.70625E-03 4.44880E-03 6.15505E-03 1.51156E-03 0.063921 8 1 20.0 0.0 180.0 3.68267E-02 1.74025E-03 9.03321E-04 2.64357E-03 1.54169E-03 0.024529 8 4 20.0 45.0 135.0 4.09980E-02 1.71900E-03 1.07005E-03 2.78905E-03 1.52286E-03 0.026100 8 7 20.0 90.0 90.0 6.02856E-02 1.70732E-03 2.53594E-03 4.24327E-03 1.51251E-03 0.042065 7 1 30.0 0.0 180.0 3.19307E-02 1.76208E-03 7.68643E-04 2.53072E-03 1.56102E-03 0.024072 7 4 30.0 45.0 135.0 3.54042E-02 1.75400E-03 8.63944E-04 2.61794E-03 1.55387E-03 0.024402 7 7 30.0 90.0 90.0 5.16043E-02 1.73007E-03 1.51958E-03 3.24965E-03 1.53266E-03 0.029447 6 1 40.0 0.0 180.0 3.03083E-02 1.77147E-03 8.54636E-04 2.62610E-03 1.56934E-03 0.028198 6 4 40.0 45.0 135.0 3.31405E-02 1.75904E-03 9.26912E-04 2.68595E-03 1.55833E-03 0.027969 6 7 40.0 90.0 90.0 4.65287E-02 1.73369E-03 1.34486E-03 3.07856E-03 1.53587E-03 0.028904 5 1 50.0 0.0 180.0 3.17773E-02 1.78854E-03 1.35004E-03 3.13858E-03 1.58446E-03 0.042485 5 4 50.0 45.0 135.0 3.38629E-02 1.76499E-03 1.40649E-03 3.17148E-03 1.56360E-03 0.041535 5 7 50.0 90.0 90.0 4.50123E-02 1.74026E-03 1.81834E-03 3.55860E-03 1.54170E-03 0.040396 4 1 60.0 0.0 180.0 3.77201E-02 1.75629E-03 3.14497E-03 4.90126E-03 1.55589E-03 0.083377 4 4 60.0 45.0 135.0 3.85738E-02 1.72941E-03 3.10560E-03 4.83501E-03 1.53208E-03 0.080511 4 7 60.0 90.0 90.0 4.76335E-02 1.72471E-03 3.62664E-03 5.35134E-03 1.52791E-03 0.076136 3 1 70.0 0.0 180.0 5.23369E-02 1.62202E-03 8.68725E-03 1.03093E-02 1.43694E-03 0.165987 3 4 70.0 45.0 135.0 5.08638E-02 1.61314E-03 8.35874E-03 9.97189E-03 1.42908E-03 0.164336 3 7 70.0 90.0 90.0 5.68645E-02 1.60779E-03 9.08974E-03 1.06975E-02 1.42434E-03 0.159849 2 1 80.0 0.0 180.0 8.89212E-02 1.38294E-03 2.15939E-02 2.29769E-02 1.22514E-03 0.242843 2 4 80.0 45.0 135.0 8.23393E-02 1.37084E-03 2.08858E-02 2.22566E-02 1.21443E-03 0.253655 2 7 80.0 90.0 90.0 8.18047E-02 1.36662E-03 2.18731E-02 2.32397E-02 1.21068E-03 0.267382 1 1 87.5 0.0 180.0 1.43769E-01 1.10856E-03 3.80839E-02 3.91924E-02 9.82068E-04 0.264896 1 4 87.5 45.0 135.0 1.29447E-01 1.04575E-03 3.78487E-02 3.88945E-02 9.26425E-04 0.292389 1 7 87.5 90.0 90.0 1.17768E-01 1.15340E-03 3.87357E-02 3.98891E-02 1.02179E-03 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 685.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 7.944E-03 7.598E-02 9.148E-02 7.883E-02 1.182E-01 7.037E-03 5.276E+00 1.695E-03 1.501E-03 1 0.00 0.00 3.145E-03 1.414E-01 5.757E-03 6.597E-03 8.957E-03 2.863E-03 3.795E+00 3 4.67 5.00 8.144E-04 2.794E-02 1.162E-03 1.232E-03 1.417E-03 1.532E-02 3.505E+00 5 9.34 10.00 3.190E-04 2.523E-03 4.231E-04 4.259E-04 4.324E-04 8.462E-02 3.435E+00 Waveband 34 of 40 completed in 5.1 sec. * * * * * Output for wavelength band 35 (690.0 to 700.0 nm; nominal wavelength = 695.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 30.3 m at 695.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 690.0 nm to 700.0 nm: Ed(diffuse) = 2.700E-01 Ed(direct) = 8.188E-01 Ed(total) = 1.089E+00 Absorption Coefficients of Individual Components at 695.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.5590 0.0268 0.0006 0.5864 3 4.925 5.000 0.5590 0.0268 0.0006 0.5864 5 9.850 10.000 0.5590 0.0268 0.0006 0.5864 Scattering Coefficients of Individual Components at 695.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0007 0.3979 0.0000 0.3986 3 4.925 5.000 0.0007 0.3979 0.0000 0.3986 5 9.850 10.000 0.0007 0.3979 0.0000 0.3986 Backscattering Coefficients of Individual Components at 695.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00035 0.00796 0.00000 0.00831 3 4.925 5.000 0.00035 0.00796 0.00000 0.00831 5 9.850 10.000 0.00035 0.00796 0.00000 0.00831 Summary of Inherent Optical Properties at 695.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.5864 0.3986 0.9850 0.4047 0.00831 0.02084 3 4.925 5.000 0.5864 0.3986 0.9850 0.4047 0.00831 0.02084 5 9.850 10.000 0.5864 0.3986 0.9850 0.4047 0.00831 0.02084 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.0471E-01 8 20.00 4.6377E-01 7 30.00 2.1171E-01 6 40.00 8.6933E-02 5 50.00 3.5720E-02 4 60.00 1.5735E-02 3 70.00 7.6543E-03 2 80.00 4.1387E-03 1 87.50 2.7724E-03 1 92.50 2.1739E-03 2 100.00 1.6042E-03 3 110.00 1.1533E-03 4 120.00 9.0012E-04 5 130.00 7.5686E-04 6 140.00 6.7592E-04 7 150.00 6.3100E-04 8 160.00 6.0711E-04 9 170.00 5.9567E-04 10 180.00 5.9186E-04 Asymptotic AOP values are MUu(inf) = 0.3820 MUd(inf) = 0.8755 MU(inf) = 0.8612 R(inf) = 0.0051 Lu(inf)/Ed(inf) = 0.001152 (1/sr) k(inf) = 0.6810 (1/m) absorp(check) = 0.5864 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 695.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.0379E-01 1.4919E+00 1.5957E+00 3.9093E-02 1.0888E+00 0.3766 0.7298 0.6578 3.5905E-02 1 0.00 0.00 2.0671E-02 1.1848E+00 1.2055E+00 8.7775E-03 1.0585E+00 0.4246 0.8933 0.8707 8.2927E-03 3 4.92 5.00 3.7064E-03 4.4571E-02 4.8278E-02 1.7314E-03 3.7164E-02 0.4671 0.8338 0.7339 4.6588E-02 5 9.85 10.00 1.3789E-03 3.0978E-03 4.4767E-03 6.6014E-04 2.0650E-03 0.4787 0.6666 0.3138 3.1968E-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 0.43568 0.63015 0.62681 0.44209 0.66187 0.66371 0.43631 5.000 5.010 5.005 0.24159 0.63591 0.60558 0.22954 0.65624 0.67713 0.21779 10.000 10.010 10.005 0.18064 0.38541 0.32230 0.17951 0.44945 0.57655 0.17851 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 695.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 7.28671E-02 1.22751E-03 6.02455E-03 7.25205E-03 1.12741E-03 0.082679 9 1 10.0 0.0 180.0 4.49620E-02 1.25191E-03 1.69691E-03 2.94883E-03 1.14983E-03 0.037741 9 4 10.0 45.0 135.0 4.94011E-02 1.24416E-03 1.97842E-03 3.22258E-03 1.14270E-03 0.040048 9 7 10.0 90.0 90.0 6.67449E-02 1.23559E-03 4.28615E-03 5.52174E-03 1.13483E-03 0.064217 8 1 20.0 0.0 180.0 3.53170E-02 1.26410E-03 8.66506E-04 2.13060E-03 1.16102E-03 0.024535 8 4 20.0 45.0 135.0 3.93173E-02 1.24733E-03 1.02674E-03 2.27407E-03 1.14562E-03 0.026114 8 7 20.0 90.0 90.0 5.78143E-02 1.23614E-03 2.43949E-03 3.67563E-03 1.13534E-03 0.042195 7 1 30.0 0.0 180.0 3.06217E-02 1.28110E-03 7.37133E-04 2.01823E-03 1.17663E-03 0.024072 7 4 30.0 45.0 135.0 3.39530E-02 1.27337E-03 8.28554E-04 2.10193E-03 1.16954E-03 0.024403 7 7 30.0 90.0 90.0 4.94878E-02 1.25245E-03 1.45876E-03 2.71121E-03 1.15032E-03 0.029477 6 1 40.0 0.0 180.0 2.90658E-02 1.28903E-03 8.19600E-04 2.10863E-03 1.18392E-03 0.028198 6 4 40.0 45.0 135.0 3.17819E-02 1.27764E-03 8.88913E-04 2.16656E-03 1.17346E-03 0.027969 6 7 40.0 90.0 90.0 4.46213E-02 1.25518E-03 1.28983E-03 2.54501E-03 1.15283E-03 0.028906 5 1 50.0 0.0 180.0 3.04746E-02 1.30222E-03 1.29470E-03 2.59692E-03 1.19603E-03 0.042485 5 4 50.0 45.0 135.0 3.24747E-02 1.28254E-03 1.34884E-03 2.63137E-03 1.17795E-03 0.041535 5 7 50.0 90.0 90.0 4.31670E-02 1.26079E-03 1.74379E-03 3.00458E-03 1.15798E-03 0.040396 4 1 60.0 0.0 180.0 3.61738E-02 1.27949E-03 3.01605E-03 4.29554E-03 1.17516E-03 0.083377 4 4 60.0 45.0 135.0 3.69924E-02 1.25735E-03 2.97829E-03 4.23564E-03 1.15482E-03 0.080511 4 7 60.0 90.0 90.0 4.56808E-02 1.25078E-03 3.47797E-03 4.72875E-03 1.14879E-03 0.076136 3 1 70.0 0.0 180.0 5.01914E-02 1.18257E-03 8.33112E-03 9.51369E-03 1.08614E-03 0.165987 3 4 70.0 45.0 135.0 4.87787E-02 1.17389E-03 8.01608E-03 9.18997E-03 1.07816E-03 0.164336 3 7 70.0 90.0 90.0 5.45334E-02 1.16830E-03 8.71711E-03 9.88541E-03 1.07303E-03 0.159849 2 1 80.0 0.0 180.0 8.52759E-02 1.00913E-03 2.07087E-02 2.17178E-02 9.26845E-04 0.242843 2 4 80.0 45.0 135.0 7.89638E-02 9.98656E-04 2.00296E-02 2.10282E-02 9.17221E-04 0.253655 2 7 80.0 90.0 90.0 7.84512E-02 9.95267E-04 2.09764E-02 2.19717E-02 9.14108E-04 0.267382 1 1 87.5 0.0 180.0 1.37875E-01 8.09834E-04 3.65226E-02 3.73325E-02 7.43796E-04 0.264896 1 4 87.5 45.0 135.0 1.24140E-01 7.62922E-04 3.62971E-02 3.70601E-02 7.00710E-04 0.292389 1 7 87.5 90.0 90.0 1.12940E-01 8.42443E-04 3.71477E-02 3.79902E-02 7.73746E-04 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 695.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 7.252E-03 7.287E-02 8.760E-02 7.547E-02 1.133E-01 6.661E-03 5.391E+00 1.228E-03 1.127E-03 1 0.00 0.00 2.278E-03 1.356E-01 4.333E-03 5.058E-03 7.126E-03 2.152E-03 3.853E+00 3 4.92 5.00 4.972E-04 1.988E-02 6.970E-04 7.403E-04 8.552E-04 1.338E-02 3.482E+00 5 9.85 10.00 1.938E-04 1.380E-03 2.503E-04 2.516E-04 2.545E-04 9.386E-02 3.406E+00 Waveband 35 of 40 completed in 4.8 sec. * * * * * Output for wavelength band 36 (700.0 to 710.0 nm; nominal wavelength = 705.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 28.0 m at 705.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 700.0 nm to 710.0 nm: Ed(diffuse) = 2.706E-01 Ed(direct) = 8.263E-01 Ed(total) = 1.097E+00 Absorption Coefficients of Individual Components at 705.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.7040 0.0165 0.0005 0.7210 3 5.570 5.000 0.7040 0.0165 0.0005 0.7210 5 11.139 10.000 0.7040 0.0165 0.0005 0.7210 Scattering Coefficients of Individual Components at 705.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0007 0.3923 0.0000 0.3929 3 5.570 5.000 0.0007 0.3923 0.0000 0.3929 5 11.139 10.000 0.0007 0.3923 0.0000 0.3929 Backscattering Coefficients of Individual Components at 705.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00033 0.00785 0.00000 0.00817 3 5.570 5.000 0.00033 0.00785 0.00000 0.00817 5 11.139 10.000 0.00033 0.00785 0.00000 0.00817 Summary of Inherent Optical Properties at 705.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.7210 0.3929 1.1139 0.3527 0.00817 0.02080 3 5.570 5.000 0.7210 0.3929 1.1139 0.3527 0.00817 0.02080 5 11.139 10.000 0.7210 0.3929 1.1139 0.3527 0.00817 0.02080 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 7.7506E-01 8 20.00 4.0988E-01 7 30.00 1.6938E-01 6 40.00 6.3938E-02 5 50.00 2.4852E-02 4 60.00 1.0636E-02 3 70.00 5.1141E-03 2 80.00 2.7563E-03 1 87.50 1.8472E-03 1 92.50 1.4518E-03 2 100.00 1.0738E-03 3 110.00 7.7502E-04 4 120.00 6.0829E-04 5 130.00 5.1470E-04 6 140.00 4.6250E-04 7 150.00 4.3406E-04 8 160.00 4.1930E-04 9 170.00 4.1240E-04 10 180.00 4.1013E-04 Asymptotic AOP values are MUu(inf) = 0.3848 MUd(inf) = 0.8897 MU(inf) = 0.8782 R(inf) = 0.0040 Lu(inf)/Ed(inf) = 0.000917 (1/sr) k(inf) = 0.8210 (1/m) absorp(check) = 0.7211 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 705.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.0088E-01 1.5018E+00 1.6027E+00 3.7556E-02 1.0969E+00 0.3723 0.7304 0.6610 3.4238E-02 1 0.00 0.00 1.2390E-02 1.1870E+00 1.1994E+00 5.0243E-03 1.0644E+00 0.4055 0.8967 0.8832 4.7204E-03 3 5.57 5.00 9.8242E-04 2.0192E-02 2.1174E-02 4.5728E-04 1.7309E-02 0.4655 0.8572 0.7959 2.6419E-02 5 11.14 10.00 3.4417E-04 7.2448E-04 1.0687E-03 1.6630E-04 4.8214E-04 0.4832 0.6655 0.2955 3.4493E-01 K-functions (units of 1/meter) at 705.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.64280 0.78286 0.78141 0.66542 0.81285 0.81355 0.67095 5.000 5.010 5.005 0.29433 0.80041 0.77688 0.27295 0.81445 0.82918 0.25213 10.000 10.010 10.005 0.17920 0.43884 0.35515 0.17812 0.52408 0.70672 0.17713 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 705.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 7.30170E-02 6.69139E-04 6.06697E-03 6.73611E-03 6.10016E-04 0.083090 9 1 10.0 0.0 180.0 4.50545E-02 6.86467E-04 1.70444E-03 2.39090E-03 6.25812E-04 0.037831 9 4 10.0 45.0 135.0 4.95027E-02 6.80912E-04 1.98768E-03 2.66859E-03 6.20748E-04 0.040153 9 7 10.0 90.0 90.0 6.68822E-02 6.73352E-04 4.31355E-03 4.98690E-03 6.13856E-04 0.064495 8 1 20.0 0.0 180.0 3.53897E-02 6.95651E-04 8.68492E-04 1.56414E-03 6.34185E-04 0.024541 8 4 20.0 45.0 135.0 3.93982E-02 6.84201E-04 1.02938E-03 1.71359E-03 6.23747E-04 0.026128 8 7 20.0 90.0 90.0 5.79332E-02 6.73525E-04 2.45157E-03 3.12510E-03 6.14014E-04 0.042317 7 1 30.0 0.0 180.0 3.06847E-02 7.07252E-04 7.38649E-04 1.44590E-03 6.44761E-04 0.024072 7 4 30.0 45.0 135.0 3.40230E-02 6.99885E-04 8.30284E-04 1.53017E-03 6.38045E-04 0.024404 7 7 30.0 90.0 90.0 4.95886E-02 6.82456E-04 1.46315E-03 2.14561E-03 6.22156E-04 0.029506 6 1 40.0 0.0 180.0 2.91256E-02 7.14009E-04 8.21286E-04 1.53529E-03 6.50921E-04 0.028198 6 4 40.0 45.0 135.0 3.18473E-02 7.03789E-04 8.90742E-04 1.59453E-03 6.41604E-04 0.027969 6 7 40.0 90.0 90.0 4.47131E-02 6.84654E-04 1.29257E-03 1.97722E-03 6.24160E-04 0.028908 5 1 50.0 0.0 180.0 3.05372E-02 7.23098E-04 1.29736E-03 2.02046E-03 6.59207E-04 0.042485 5 4 50.0 45.0 135.0 3.25416E-02 7.07955E-04 1.35161E-03 2.05957E-03 6.45402E-04 0.041535 5 7 50.0 90.0 90.0 4.32558E-02 6.89649E-04 1.74738E-03 2.43703E-03 6.28713E-04 0.040396 4 1 60.0 0.0 180.0 3.62482E-02 7.12252E-04 3.02225E-03 3.73450E-03 6.49319E-04 0.083377 4 4 60.0 45.0 135.0 3.70685E-02 6.95688E-04 2.98442E-03 3.68010E-03 6.34219E-04 0.080511 4 7 60.0 90.0 90.0 4.57748E-02 6.86795E-04 3.48512E-03 4.17192E-03 6.26111E-04 0.076136 3 1 70.0 0.0 180.0 5.02946E-02 6.60310E-04 8.34826E-03 9.00857E-03 6.01967E-04 0.165987 3 4 70.0 45.0 135.0 4.88790E-02 6.51790E-04 8.03257E-03 8.68436E-03 5.94200E-04 0.164336 3 7 70.0 90.0 90.0 5.46456E-02 6.45856E-04 8.73504E-03 9.38090E-03 5.88790E-04 0.159849 2 1 80.0 0.0 180.0 8.54513E-02 5.65303E-04 2.07513E-02 2.13166E-02 5.15354E-04 0.242843 2 4 80.0 45.0 135.0 7.91262E-02 5.56698E-04 2.00708E-02 2.06275E-02 5.07509E-04 0.253655 2 7 80.0 90.0 90.0 7.86126E-02 5.54244E-04 2.10196E-02 2.15738E-02 5.05272E-04 0.267382 1 1 87.5 0.0 180.0 1.38159E-01 4.55465E-04 3.65978E-02 3.70532E-02 4.15221E-04 0.264896 1 4 87.5 45.0 135.0 1.24395E-01 4.27374E-04 3.63718E-02 3.67992E-02 3.89612E-04 0.292389 1 7 87.5 90.0 90.0 1.13172E-01 4.73490E-04 3.72242E-02 3.76977E-02 4.31654E-04 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 705.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 6.736E-03 7.302E-02 8.761E-02 7.543E-02 1.133E-01 6.141E-03 5.575E+00 6.691E-04 6.100E-04 1 0.00 0.00 1.242E-03 1.358E-01 2.664E-03 3.255E-03 4.983E-03 1.167E-03 4.046E+00 3 5.57 5.00 1.322E-04 9.757E-03 1.842E-04 2.004E-04 2.433E-04 7.635E-03 3.460E+00 5 11.14 10.00 4.973E-05 3.388E-04 6.089E-05 6.112E-05 6.163E-05 1.032E-01 3.344E+00 Waveband 36 of 40 completed in 5.2 sec. * * * * * Output for wavelength band 37 (710.0 to 720.0 nm; nominal wavelength = 715.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 24.3 m at 715.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 710.0 nm to 720.0 nm: Ed(diffuse) = 2.466E-01 Ed(direct) = 7.579E-01 Ed(total) = 1.004E+00 Absorption Coefficients of Individual Components at 715.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 1.0070 0.0072 0.0004 1.0147 3 7.010 5.000 1.0070 0.0072 0.0004 1.0147 5 14.020 10.000 1.0070 0.0072 0.0004 1.0147 Scattering Coefficients of Individual Components at 715.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0006 0.3868 0.0000 0.3874 3 7.010 5.000 0.0006 0.3868 0.0000 0.3874 5 14.020 10.000 0.0006 0.3868 0.0000 0.3874 Backscattering Coefficients of Individual Components at 715.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00031 0.00774 0.00000 0.00804 3 7.010 5.000 0.00031 0.00774 0.00000 0.00804 5 14.020 10.000 0.00031 0.00774 0.00000 0.00804 Summary of Inherent Optical Properties at 715.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 1.0147 0.3874 1.4020 0.2763 0.00804 0.02076 3 7.010 5.000 1.0147 0.3874 1.4020 0.2763 0.00804 0.02076 5 14.020 10.000 1.0147 0.3874 1.4020 0.2763 0.00804 0.02076 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 7.1793E-01 8 20.00 3.2187E-01 7 30.00 1.1167E-01 6 40.00 3.6937E-02 5 50.00 1.3325E-02 4 60.00 5.5289E-03 3 70.00 2.6372E-03 2 80.00 1.4224E-03 1 87.50 9.5617E-04 1 92.50 7.5479E-04 2 100.00 5.6072E-04 3 110.00 4.0741E-04 4 120.00 3.2255E-04 5 130.00 2.7553E-04 6 140.00 2.4986E-04 7 150.00 2.3632E-04 8 160.00 2.2959E-04 9 170.00 2.2661E-04 10 180.00 2.2565E-04 Asymptotic AOP values are MUu(inf) = 0.3893 MUd(inf) = 0.9100 MU(inf) = 0.9020 R(inf) = 0.0027 Lu(inf)/Ed(inf) = 0.000637 (1/sr) k(inf) = 1.1251 (1/m) absorp(check) = 1.0148 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 715.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 9.0530E-02 1.3742E+00 1.4647E+00 3.3523E-02 1.0045E+00 0.3703 0.7310 0.6629 3.3374E-02 1 0.00 0.00 6.9470E-03 1.0834E+00 1.0904E+00 2.7330E-03 9.7368E-01 0.3934 0.8987 0.8905 2.8069E-03 3 7.01 5.00 1.2614E-04 3.5824E-03 3.7085E-03 5.9801E-05 3.1354E-03 0.4741 0.8752 0.8293 1.9073E-02 5 14.02 10.00 4.4992E-05 6.3840E-05 1.0883E-04 2.2163E-05 3.7232E-05 0.4926 0.5832 0.1385 5.9527E-01 K-functions (units of 1/meter) at 715.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 1.02771 1.11335 1.11280 1.06182 1.13887 1.13909 1.07997 5.000 5.010 5.005 0.34202 1.11952 1.09297 0.30967 1.13299 1.14906 0.27788 10.000 10.010 10.005 0.17307 0.33295 0.26683 0.17291 0.42168 0.78869 0.17278 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 715.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 6.65321E-02 3.53025E-04 5.55348E-03 5.90651E-03 3.51452E-04 0.083471 9 1 10.0 0.0 180.0 4.10531E-02 3.63792E-04 1.55646E-03 1.92025E-03 3.62171E-04 0.037913 9 4 10.0 45.0 135.0 4.51062E-02 3.60323E-04 1.81552E-03 2.17584E-03 3.58717E-04 0.040250 9 7 10.0 90.0 90.0 6.09422E-02 3.55144E-04 3.94612E-03 4.30127E-03 3.53562E-04 0.064752 8 1 20.0 0.0 180.0 3.22466E-02 3.69632E-04 7.91531E-04 1.16116E-03 3.67985E-04 0.024546 8 4 20.0 45.0 135.0 3.58992E-02 3.62654E-04 9.38408E-04 1.30106E-03 3.61038E-04 0.026140 8 7 20.0 90.0 90.0 5.27880E-02 3.55118E-04 2.23980E-03 2.59492E-03 3.53536E-04 0.042430 7 1 30.0 0.0 180.0 2.79595E-02 3.76645E-04 6.73047E-04 1.04969E-03 3.74967E-04 0.024072 7 4 30.0 45.0 135.0 3.10015E-02 3.71476E-04 7.56566E-04 1.12804E-03 3.69821E-04 0.024404 7 7 30.0 90.0 90.0 4.51837E-02 3.59750E-04 1.33438E-03 1.69413E-03 3.58147E-04 0.029532 6 1 40.0 0.0 180.0 2.65389E-02 3.81102E-04 7.48345E-04 1.12945E-03 3.79404E-04 0.028198 6 4 40.0 45.0 135.0 2.90189E-02 3.74068E-04 8.11633E-04 1.18570E-03 3.72402E-04 0.027969 6 7 40.0 90.0 90.0 4.07420E-02 3.61000E-04 1.17785E-03 1.53885E-03 3.59392E-04 0.028910 5 1 50.0 0.0 180.0 2.78252E-02 3.86558E-04 1.18214E-03 1.56870E-03 3.84836E-04 0.042485 5 4 50.0 45.0 135.0 2.96514E-02 3.76742E-04 1.23157E-03 1.60831E-03 3.75063E-04 0.041535 5 7 50.0 90.0 90.0 3.94141E-02 3.64170E-04 1.59219E-03 1.95636E-03 3.62547E-04 0.040396 4 1 60.0 0.0 180.0 3.30289E-02 3.81347E-04 2.75384E-03 3.13518E-03 3.79648E-04 0.083377 4 4 60.0 45.0 135.0 3.37764E-02 3.70722E-04 2.71936E-03 3.09008E-03 3.69070E-04 0.080511 4 7 60.0 90.0 90.0 4.17094E-02 3.63442E-04 3.17560E-03 3.53904E-03 3.61823E-04 0.076136 3 1 70.0 0.0 180.0 4.58278E-02 3.54188E-04 7.60683E-03 7.96101E-03 3.52610E-04 0.165987 3 4 70.0 45.0 135.0 4.45379E-02 3.48053E-04 7.31918E-03 7.66723E-03 3.46502E-04 0.164336 3 7 70.0 90.0 90.0 4.97924E-02 3.43177E-04 7.95926E-03 8.30244E-03 3.41648E-04 0.159849 2 1 80.0 0.0 180.0 7.78622E-02 3.03826E-04 1.89083E-02 1.92121E-02 3.02472E-04 0.242843 2 4 80.0 45.0 135.0 7.20988E-02 2.97988E-04 1.82883E-02 1.85862E-02 2.96660E-04 0.253655 2 7 80.0 90.0 90.0 7.16308E-02 2.95827E-04 1.91528E-02 1.94486E-02 2.94509E-04 0.267382 1 1 87.5 0.0 180.0 1.25889E-01 2.45394E-04 3.33474E-02 3.35928E-02 2.44301E-04 0.264896 1 4 87.5 45.0 135.0 1.13347E-01 2.29457E-04 3.31415E-02 3.33710E-02 2.28435E-04 0.292389 1 7 87.5 90.0 90.0 1.03121E-01 2.54189E-04 3.39182E-02 3.41724E-02 2.53056E-04 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 715.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 5.907E-03 6.653E-02 7.974E-02 6.865E-02 1.032E-01 5.880E-03 5.676E+00 3.530E-04 3.515E-04 1 0.00 0.00 6.552E-04 1.238E-01 1.556E-03 1.949E-03 3.116E-03 6.729E-04 4.171E+00 3 7.01 5.00 1.805E-05 1.942E-03 2.275E-05 2.472E-05 2.991E-05 5.757E-03 3.313E+00 5 14.02 10.00 6.928E-06 2.102E-05 7.584E-06 7.589E-06 7.601E-06 1.861E-01 3.199E+00 Waveband 37 of 40 completed in 6.2 sec. * * * * * Output for wavelength band 38 (720.0 to 730.0 nm; nominal wavelength = 725.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 20.7 m at 725.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 720.0 nm to 730.0 nm: Ed(diffuse) = 2.217E-01 Ed(direct) = 6.861E-01 Ed(total) = 9.077E-01 Absorption Coefficients of Individual Components at 725.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 1.4890 0.0031 0.0004 1.4925 3 9.372 5.000 1.4890 0.0031 0.0004 1.4925 5 18.745 10.000 1.4890 0.0031 0.0004 1.4925 Scattering Coefficients of Individual Components at 725.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0006 0.3814 0.0000 0.3820 3 9.372 5.000 0.0006 0.3814 0.0000 0.3820 5 18.745 10.000 0.0006 0.3814 0.0000 0.3820 Backscattering Coefficients of Individual Components at 725.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00029 0.00763 0.00000 0.00792 3 9.372 5.000 0.00029 0.00763 0.00000 0.00792 5 18.745 10.000 0.00029 0.00763 0.00000 0.00792 Summary of Inherent Optical Properties at 725.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 1.4925 0.3820 1.8745 0.2038 0.00792 0.02073 3 9.372 5.000 1.4925 0.3820 1.8745 0.2038 0.00792 0.02073 5 18.745 10.000 1.4925 0.3820 1.8745 0.2038 0.00792 0.02073 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 6.3765E-01 8 20.00 2.2768E-01 7 30.00 6.4051E-02 6 40.00 1.8573E-02 5 50.00 6.3311E-03 4 60.00 2.5899E-03 3 70.00 1.2379E-03 2 80.00 6.7153E-04 1 87.50 4.5362E-04 1 92.50 3.5980E-04 2 100.00 2.6859E-04 3 110.00 1.9654E-04 4 120.00 1.5696E-04 5 130.00 1.3532E-04 6 140.00 1.2379E-04 7 150.00 1.1795E-04 8 160.00 1.1521E-04 9 170.00 1.1408E-04 10 180.00 1.1373E-04 Asymptotic AOP values are MUu(inf) = 0.3939 MUd(inf) = 0.9291 MU(inf) = 0.9237 R(inf) = 0.0018 Lu(inf)/Ed(inf) = 0.000424 (1/sr) k(inf) = 1.6160 (1/m) absorp(check) = 1.4927 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 725.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 8.0842E-02 1.2409E+00 1.3217E+00 2.9888E-02 9.0772E-01 0.3697 0.7315 0.6642 3.2927E-02 1 0.00 0.00 4.1040E-03 9.7730E-01 9.8140E-01 1.6009E-03 8.7943E-01 0.3901 0.8999 0.8945 1.8204E-03 3 9.37 5.00 2.4226E-05 2.5494E-04 2.7917E-04 1.2137E-05 2.1993E-04 0.5010 0.8627 0.7443 5.5184E-02 5 18.74 10.00 9.6024E-06 1.0895E-05 2.0497E-05 4.8414E-06 5.7280E-06 0.5042 0.5257 0.0433 8.4522E-01 K-functions (units of 1/meter) at 725.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 1.58895 1.65028 1.65002 1.61536 1.66844 1.66854 1.62845 5.000 5.010 5.005 0.23660 1.51192 1.40060 0.22398 1.57148 1.65075 0.21253 10.000 10.010 10.005 0.18193 0.18318 0.18259 0.18227 0.18921 0.22714 0.18314 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 725.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 5.98140E-02 2.05941E-04 5.01651E-03 5.22245E-03 2.26877E-04 0.083868 9 1 10.0 0.0 180.0 3.69077E-02 2.12523E-04 1.40249E-03 1.61501E-03 2.34128E-04 0.038000 9 4 10.0 45.0 135.0 4.05516E-02 2.10393E-04 1.63631E-03 1.84670E-03 2.31782E-04 0.040351 9 7 10.0 90.0 90.0 5.47885E-02 2.07130E-04 3.56238E-03 3.76951E-03 2.28187E-04 0.065021 8 1 20.0 0.0 180.0 2.89905E-02 2.16078E-04 7.11767E-04 9.27845E-04 2.38045E-04 0.024552 8 4 20.0 45.0 135.0 3.22742E-02 2.11824E-04 8.44069E-04 1.05589E-03 2.33358E-04 0.026153 8 7 20.0 90.0 90.0 4.74577E-02 2.07032E-04 2.01923E-03 2.22627E-03 2.28080E-04 0.042548 7 1 30.0 0.0 180.0 2.51363E-02 2.20282E-04 6.05085E-04 8.25367E-04 2.42676E-04 0.024072 7 4 30.0 45.0 135.0 2.78712E-02 2.17012E-04 6.80191E-04 8.97203E-04 2.39074E-04 0.024405 7 7 30.0 90.0 90.0 4.06205E-02 2.09633E-04 1.20074E-03 1.41037E-03 2.30945E-04 0.029560 6 1 40.0 0.0 180.0 2.38591E-02 2.22946E-04 6.72780E-04 8.95726E-04 2.45611E-04 0.028198 6 4 40.0 45.0 135.0 2.60886E-02 2.18512E-04 7.29677E-04 9.48189E-04 2.40726E-04 0.027969 6 7 40.0 90.0 90.0 3.66280E-02 2.10223E-04 1.05899E-03 1.26921E-03 2.31595E-04 0.028912 5 1 50.0 0.0 180.0 2.50155E-02 2.26138E-04 1.06277E-03 1.28891E-03 2.49128E-04 0.042485 5 4 50.0 45.0 135.0 2.66574E-02 2.20036E-04 1.10721E-03 1.32725E-03 2.42405E-04 0.041535 5 7 50.0 90.0 90.0 3.54342E-02 2.11994E-04 1.43142E-03 1.64341E-03 2.33546E-04 0.040396 4 1 60.0 0.0 180.0 2.96938E-02 2.23081E-04 2.47576E-03 2.69884E-03 2.45759E-04 0.083377 4 4 60.0 45.0 135.0 3.03658E-02 2.16483E-04 2.44477E-03 2.66125E-03 2.38491E-04 0.080511 4 7 60.0 90.0 90.0 3.74977E-02 2.11530E-04 2.85494E-03 3.06647E-03 2.33035E-04 0.076136 3 1 70.0 0.0 180.0 4.12003E-02 2.07181E-04 6.83872E-03 7.04590E-03 2.28243E-04 0.165987 3 4 70.0 45.0 135.0 4.00407E-02 2.03231E-04 6.58011E-03 6.78335E-03 2.23892E-04 0.164336 3 7 70.0 90.0 90.0 4.47645E-02 1.99783E-04 7.15556E-03 7.35535E-03 2.20094E-04 0.159849 2 1 80.0 0.0 180.0 6.99999E-02 1.77724E-04 1.69990E-02 1.71767E-02 1.95792E-04 0.242843 2 4 80.0 45.0 135.0 6.48186E-02 1.74006E-04 1.64416E-02 1.66156E-02 1.91696E-04 0.253655 2 7 80.0 90.0 90.0 6.43978E-02 1.72297E-04 1.72188E-02 1.73911E-02 1.89813E-04 0.267382 1 1 87.5 0.0 180.0 1.13177E-01 1.43567E-04 2.99801E-02 3.01237E-02 1.58162E-04 0.264896 1 4 87.5 45.0 135.0 1.01902E-01 1.34024E-04 2.97950E-02 2.99291E-02 1.47649E-04 0.292389 1 7 87.5 90.0 90.0 9.27084E-02 1.48175E-04 3.04933E-02 3.06414E-02 1.63239E-04 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 725.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 5.222E-03 5.981E-02 7.165E-02 6.167E-02 9.269E-02 5.753E-03 5.723E+00 2.059E-04 2.269E-04 1 0.00 0.00 3.822E-04 1.113E-01 9.668E-04 1.217E-03 1.969E-03 4.346E-04 4.188E+00 3 9.37 5.00 4.019E-06 1.526E-04 3.916E-06 3.999E-06 4.215E-06 1.827E-02 3.020E+00 5 18.74 10.00 1.605E-06 2.109E-06 1.532E-06 1.532E-06 1.532E-06 2.803E-01 3.016E+00 Waveband 38 of 40 completed in 7.5 sec. * * * * * Output for wavelength band 39 (730.0 to 740.0 nm; nominal wavelength = 735.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 18.0 m at 735.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 730.0 nm to 740.0 nm: Ed(diffuse) = 2.418E-01 Ed(direct) = 7.532E-01 Ed(total) = 9.950E-01 Absorption Coefficients of Individual Components at 735.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 2.1289 0.0010 0.0003 2.1303 3 12.535 5.000 2.1289 0.0010 0.0003 2.1303 5 25.071 10.000 2.1289 0.0010 0.0003 2.1303 Scattering Coefficients of Individual Components at 735.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0005 0.3762 0.0000 0.3768 3 12.535 5.000 0.0005 0.3762 0.0000 0.3768 5 25.071 10.000 0.0005 0.3762 0.0000 0.3768 Backscattering Coefficients of Individual Components at 735.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00027 0.00752 0.00000 0.00780 3 12.535 5.000 0.00027 0.00752 0.00000 0.00780 5 25.071 10.000 0.00027 0.00752 0.00000 0.00780 Summary of Inherent Optical Properties at 735.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 2.1303 0.3768 2.5071 0.1503 0.00780 0.02070 3 12.535 5.000 2.1303 0.3768 2.5071 0.1503 0.00780 0.02070 5 25.071 10.000 2.1303 0.3768 2.5071 0.1503 0.00780 0.02070 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 5.4616E-01 8 20.00 1.5212E-01 7 30.00 3.5291E-02 6 40.00 9.3068E-03 5 50.00 3.0894E-03 4 60.00 1.2650E-03 3 70.00 6.0907E-04 2 80.00 3.3273E-04 1 87.50 2.2579E-04 1 92.50 1.7979E-04 2 100.00 1.3474E-04 3 110.00 9.9155E-05 4 120.00 7.9723E-05 5 130.00 6.9226E-05 6 140.00 6.3751E-05 7 150.00 6.1077E-05 8 160.00 5.9901E-05 9 170.00 5.9456E-05 10 180.00 5.9328E-05 Asymptotic AOP values are MUu(inf) = 0.3974 MUd(inf) = 0.9435 MU(inf) = 0.9398 R(inf) = 0.0012 Lu(inf)/Ed(inf) = 0.000292 (1/sr) k(inf) = 2.2671 (1/m) absorp(check) = 2.1307 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 735.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 8.7895E-02 1.3591E+00 1.4470E+00 3.2489E-02 9.9497E-01 0.3696 0.7321 0.6651 3.2653E-02 1 0.00 0.00 3.0900E-03 1.0701E+00 1.0731E+00 1.2015E-03 9.6368E-01 0.3888 0.9006 0.8969 1.2468E-03 3 12.54 5.00 1.1452E-05 2.0467E-05 3.1920E-05 5.8372E-06 1.3815E-05 0.5097 0.6750 0.2499 4.2253E-01 5 25.07 10.00 4.1168E-06 4.5419E-06 8.6587E-06 2.0928E-06 2.3808E-06 0.5084 0.5242 0.0333 8.7905E-01 K-functions (units of 1/meter) at 735.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 2.32144 2.36647 2.36634 2.33176 2.37512 2.37517 2.33197 5.000 5.010 5.005 0.21054 1.01414 0.72508 0.21039 1.30771 2.11832 0.21108 10.000 10.010 10.005 0.20797 0.20197 0.20482 0.20833 0.20252 0.16033 0.20930 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 735.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 6.52449E-02 1.54595E-04 5.49659E-03 5.65118E-03 1.55377E-04 0.084245 9 1 10.0 0.0 180.0 4.02588E-02 1.59626E-04 1.53313E-03 1.69276E-03 1.60434E-04 0.038082 9 4 10.0 45.0 135.0 4.42335E-02 1.57995E-04 1.78913E-03 1.94712E-03 1.58794E-04 0.040447 9 7 10.0 90.0 90.0 5.97632E-02 1.55467E-04 3.90105E-03 4.05652E-03 1.56254E-04 0.065275 8 1 20.0 0.0 180.0 3.16227E-02 1.62333E-04 7.76560E-04 9.38893E-04 1.63154E-04 0.024557 8 4 20.0 45.0 135.0 3.52046E-02 1.59082E-04 9.21141E-04 1.08022E-03 1.59887E-04 0.026165 8 7 20.0 90.0 90.0 5.17667E-02 1.55357E-04 2.20836E-03 2.36372E-03 1.56142E-04 0.042660 7 1 30.0 0.0 180.0 2.74186E-02 1.65511E-04 6.60025E-04 8.25536E-04 1.66348E-04 0.024072 7 4 30.0 45.0 135.0 3.04019E-02 1.62977E-04 7.41971E-04 9.04948E-04 1.63801E-04 0.024405 7 7 30.0 90.0 90.0 4.43079E-02 1.57260E-04 1.31090E-03 1.46816E-03 1.58056E-04 0.029586 6 1 40.0 0.0 180.0 2.60254E-02 1.67508E-04 7.33866E-04 9.01375E-04 1.68355E-04 0.028198 6 4 40.0 45.0 135.0 2.84574E-02 1.64075E-04 7.95930E-04 9.60005E-04 1.64905E-04 0.027969 6 7 40.0 90.0 90.0 3.99538E-02 1.57625E-04 1.15521E-03 1.31284E-03 1.58422E-04 0.028914 5 1 50.0 0.0 180.0 2.72868E-02 1.69881E-04 1.15927E-03 1.32915E-03 1.70740E-04 0.042485 5 4 50.0 45.0 135.0 2.90778E-02 1.65179E-04 1.20774E-03 1.37292E-03 1.66014E-04 0.041535 5 7 50.0 90.0 90.0 3.86516E-02 1.58888E-04 1.56139E-03 1.72028E-03 1.59692E-04 0.040396 4 1 60.0 0.0 180.0 3.23899E-02 1.67553E-04 2.70056E-03 2.86811E-03 1.68400E-04 0.083377 4 4 60.0 45.0 135.0 3.31229E-02 1.62469E-04 2.66675E-03 2.82922E-03 1.63291E-04 0.080511 4 7 60.0 90.0 90.0 4.09024E-02 1.58482E-04 3.11416E-03 3.27264E-03 1.59284E-04 0.076136 3 1 70.0 0.0 180.0 4.49412E-02 1.55573E-04 7.45965E-03 7.61523E-03 1.56360E-04 0.165987 3 4 70.0 45.0 135.0 4.36762E-02 1.52480E-04 7.17757E-03 7.33005E-03 1.53251E-04 0.164336 3 7 70.0 90.0 90.0 4.88290E-02 1.49640E-04 7.80527E-03 7.95491E-03 1.50397E-04 0.159849 2 1 80.0 0.0 180.0 7.63557E-02 1.33426E-04 1.85425E-02 1.86759E-02 1.34101E-04 0.242843 2 4 80.0 45.0 135.0 7.07039E-02 1.30523E-04 1.79344E-02 1.80649E-02 1.31183E-04 0.253655 2 7 80.0 90.0 90.0 7.02449E-02 1.29032E-04 1.87822E-02 1.89112E-02 1.29685E-04 0.267382 1 1 87.5 0.0 180.0 1.23453E-01 1.07764E-04 3.27022E-02 3.28100E-02 1.08309E-04 0.264896 1 4 87.5 45.0 135.0 1.11154E-01 1.00517E-04 3.25003E-02 3.26008E-02 1.01025E-04 0.292389 1 7 87.5 90.0 90.0 1.01126E-01 1.10968E-04 3.32619E-02 3.33729E-02 1.11529E-04 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 735.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 5.651E-03 6.524E-02 7.813E-02 6.725E-02 1.011E-01 5.680E-03 5.749E+00 1.546E-04 1.554E-04 1 0.00 0.00 2.869E-04 1.214E-01 7.728E-04 9.732E-04 1.584E-03 2.977E-04 4.188E+00 3 12.54 5.00 1.989E-06 8.476E-06 1.779E-06 1.781E-06 1.785E-06 1.440E-01 2.934E+00 5 25.07 10.00 7.078E-07 8.569E-07 6.432E-07 6.432E-07 6.432E-07 2.973E-01 2.957E+00 Waveband 39 of 40 completed in 9.2 sec. * * * * * Output for wavelength band 40 (740.0 to 750.0 nm; nominal wavelength = 745.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 17.1 m at 745.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 740.0 nm to 750.0 nm: Ed(diffuse) = 2.544E-01 Ed(direct) = 7.973E-01 Ed(total) = 1.052E+00 Absorption Coefficients of Individual Components at 745.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 2.4590 0.0000 0.0003 2.4593 3 14.155 5.000 2.4590 0.0000 0.0003 2.4593 5 28.310 10.000 2.4590 0.0000 0.0003 2.4593 Scattering Coefficients of Individual Components at 745.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0005 0.3712 0.0000 0.3717 3 14.155 5.000 0.0005 0.3712 0.0000 0.3717 5 28.310 10.000 0.0005 0.3712 0.0000 0.3717 Backscattering Coefficients of Individual Components at 745.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00026 0.00742 0.00000 0.00768 3 14.155 5.000 0.00026 0.00742 0.00000 0.00768 5 28.310 10.000 0.00026 0.00742 0.00000 0.00768 Summary of Inherent Optical Properties at 745.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 2.4593 0.3717 2.8310 0.1313 0.00768 0.02067 3 14.155 5.000 2.4593 0.3717 2.8310 0.1313 0.00768 0.02067 5 28.310 10.000 2.4593 0.3717 2.8310 0.1313 0.00768 0.02067 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 5.0203E-01 8 20.00 1.2464E-01 7 30.00 2.6745E-02 6 40.00 6.8387E-03 5 50.00 2.2592E-03 4 60.00 9.2773E-04 3 70.00 4.4836E-04 2 80.00 2.4565E-04 1 87.50 1.6699E-04 1 92.50 1.3315E-04 2 100.00 9.9930E-05 3 110.00 7.3683E-05 4 120.00 5.9383E-05 5 130.00 5.1694E-05 6 140.00 4.7717E-05 7 150.00 4.5806E-05 8 160.00 4.4988E-05 9 170.00 4.4692E-05 10 180.00 4.4611E-05 Asymptotic AOP values are MUu(inf) = 0.3987 MUd(inf) = 0.9488 MU(inf) = 0.9457 R(inf) = 0.0011 Lu(inf)/Ed(inf) = 0.000249 (1/sr) k(inf) = 2.6011 (1/m) absorp(check) = 2.4599 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 745.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 9.2474E-02 1.4356E+00 1.5280E+00 3.4218E-02 1.0517E+00 0.3700 0.7326 0.6658 3.2537E-02 1 0.00 0.00 2.7825E-03 1.1306E+00 1.1334E+00 1.0805E-03 1.0185E+00 0.3883 0.9009 0.8977 1.0609E-03 3 14.15 5.00 7.2951E-06 9.4582E-06 1.6753E-05 3.7246E-06 5.5342E-06 0.5106 0.5851 0.1080 6.7302E-01 5 28.31 10.00 2.2194E-06 2.4485E-06 4.6679E-06 1.1296E-06 1.2849E-06 0.5090 0.5248 0.0333 8.7912E-01 K-functions (units of 1/meter) at 745.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 2.70027 2.73568 2.73559 2.70253 2.73936 2.73940 2.69674 5.000 5.010 5.005 0.24453 0.58920 0.43897 0.24511 0.79923 1.94953 0.24659 10.000 10.010 10.005 0.23828 0.23311 0.23557 0.23875 0.23379 0.19771 0.24000 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 745.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 6.86470E-02 1.38968E-04 5.80772E-03 5.94668E-03 1.32141E-04 0.084603 9 1 10.0 0.0 180.0 4.23580E-02 1.43518E-04 1.61637E-03 1.75989E-03 1.36468E-04 0.038160 9 4 10.0 45.0 135.0 4.65400E-02 1.42042E-04 1.88665E-03 2.02870E-03 1.35064E-04 0.040538 9 7 10.0 90.0 90.0 6.28794E-02 1.39747E-04 4.11964E-03 4.25939E-03 1.32882E-04 0.065516 8 1 20.0 0.0 180.0 3.32716E-02 1.45966E-04 8.17220E-04 9.63185E-04 1.38795E-04 0.024562 8 4 20.0 45.0 135.0 3.70403E-02 1.43026E-04 9.69603E-04 1.11263E-03 1.36000E-04 0.026177 8 7 20.0 90.0 90.0 5.44660E-02 1.39640E-04 2.32928E-03 2.46892E-03 1.32780E-04 0.042766 7 1 30.0 0.0 180.0 2.88483E-02 1.48833E-04 6.94441E-04 8.43275E-04 1.41522E-04 0.024072 7 4 30.0 45.0 135.0 3.19873E-02 1.46532E-04 7.80681E-04 9.27212E-04 1.39333E-04 0.024406 7 7 30.0 90.0 90.0 4.66176E-02 1.41342E-04 1.38039E-03 1.52173E-03 1.34398E-04 0.029611 6 1 40.0 0.0 180.0 2.73825E-02 1.50634E-04 7.72133E-04 9.22767E-04 1.43234E-04 0.028198 6 4 40.0 45.0 135.0 2.99413E-02 1.47517E-04 8.37433E-04 9.84949E-04 1.40270E-04 0.027969 6 7 40.0 90.0 90.0 4.20371E-02 1.41655E-04 1.21553E-03 1.35718E-03 1.34696E-04 0.028916 5 1 50.0 0.0 180.0 2.87096E-02 1.52766E-04 1.21972E-03 1.37248E-03 1.45261E-04 0.042485 5 4 50.0 45.0 135.0 3.05940E-02 1.48503E-04 1.27072E-03 1.41922E-03 1.41208E-04 0.041535 5 7 50.0 90.0 90.0 4.06670E-02 1.42780E-04 1.64280E-03 1.78558E-03 1.35766E-04 0.040396 4 1 60.0 0.0 180.0 3.40788E-02 1.50668E-04 2.84137E-03 2.99204E-03 1.43267E-04 0.083377 4 4 60.0 45.0 135.0 3.48501E-02 1.46061E-04 2.80580E-03 2.95186E-03 1.38885E-04 0.080511 4 7 60.0 90.0 90.0 4.30352E-02 1.42407E-04 3.27654E-03 3.41895E-03 1.35411E-04 0.076136 3 1 70.0 0.0 180.0 4.72846E-02 1.39890E-04 7.84863E-03 7.98852E-03 1.33018E-04 0.165987 3 4 70.0 45.0 135.0 4.59537E-02 1.37074E-04 7.55184E-03 7.68891E-03 1.30340E-04 0.164336 3 7 70.0 90.0 90.0 5.13751E-02 1.34460E-04 8.21226E-03 8.34672E-03 1.27855E-04 0.159849 2 1 80.0 0.0 180.0 8.03372E-02 1.19971E-04 1.95094E-02 1.96293E-02 1.14078E-04 0.242843 2 4 80.0 45.0 135.0 7.43907E-02 1.17332E-04 1.88696E-02 1.89869E-02 1.11568E-04 0.253655 2 7 80.0 90.0 90.0 7.39078E-02 1.15945E-04 1.97616E-02 1.98775E-02 1.10249E-04 0.267382 1 1 87.5 0.0 180.0 1.29891E-01 9.68952E-05 3.44075E-02 3.45043E-02 9.21352E-05 0.264896 1 4 87.5 45.0 135.0 1.16950E-01 9.03572E-05 3.41950E-02 3.42854E-02 8.59183E-05 0.292389 1 7 87.5 90.0 90.0 1.06399E-01 9.97194E-05 3.49964E-02 3.50961E-02 9.48206E-05 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 745.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 5.947E-03 6.865E-02 8.220E-02 7.075E-02 1.063E-01 5.655E-03 5.754E+00 1.390E-04 1.321E-04 1 0.00 0.00 2.579E-04 1.277E-01 7.173E-04 9.039E-04 1.475E-03 2.532E-04 4.189E+00 3 14.15 5.00 1.275E-06 2.725E-06 1.129E-06 1.129E-06 1.130E-06 2.303E-01 2.922E+00 5 28.31 10.00 3.832E-07 4.639E-07 3.458E-07 3.458E-07 3.458E-07 2.983E-01 2.948E+00 Waveband 40 of 40 completed in 9.8 sec. Energy Eo as a function of depth and wavelength Units are W/m^2 [values are integrated over the wavelength bands] depth 355.0 365.0 375.0 385.0 395.0 405.0 415.0 425.0 435.0 445.0 455.0 465.0 475.0 485.0 495.0 505.0 515.0 525.0 535.0 545.0 555.0 565.0 575.0 585.0 595.0 605.0 615.0 625.0 635.0 645.0 655.0 665.0 675.0 685.0 695.0 705.0 715.0 725.0 735.0 745.0 in air 1.091E+01 1.247E+01 1.237E+01 1.083E+01 1.329E+01 1.858E+01 1.952E+01 1.855E+01 1.893E+01 2.221E+01 2.364E+01 2.342E+01 2.369E+01 2.286E+01 2.313E+01 2.263E+01 2.167E+01 2.211E+01 2.230E+01 2.194E+01 2.173E+01 2.150E+01 2.141E+01 2.075E+01 1.986E+01 2.029E+01 1.976E+01 1.951E+01 1.923E+01 1.860E+01 1.774E+01 1.844E+01 1.810E+01 1.659E+01 1.596E+01 1.603E+01 1.465E+01 1.322E+01 1.447E+01 1.528E+01 0.0 8.173E+00 9.540E+00 9.601E+00 8.514E+00 1.054E+01 1.473E+01 1.544E+01 1.469E+01 1.496E+01 1.764E+01 1.891E+01 1.883E+01 1.923E+01 1.869E+01 1.901E+01 1.860E+01 1.767E+01 1.817E+01 1.841E+01 1.812E+01 1.790E+01 1.772E+01 1.741E+01 1.644E+01 1.537E+01 1.540E+01 1.499E+01 1.477E+01 1.454E+01 1.404E+01 1.335E+01 1.386E+01 1.369E+01 1.261E+01 1.206E+01 1.199E+01 1.090E+01 9.814E+00 1.073E+01 1.133E+01 5.0 3.109E+00 3.960E+00 4.221E+00 3.919E+00 4.990E+00 6.877E+00 7.035E+00 6.666E+00 6.645E+00 8.062E+00 8.987E+00 9.201E+00 9.898E+00 9.996E+00 1.045E+01 1.026E+01 9.375E+00 1.010E+01 1.047E+01 1.039E+01 1.018E+01 1.016E+01 9.323E+00 7.199E+00 4.891E+00 2.840E+00 2.634E+00 2.337E+00 2.034E+00 1.729E+00 1.227E+00 8.635E-01 8.206E-01 7.061E-01 4.828E-01 2.117E-01 3.709E-02 2.792E-03 3.192E-04 1.675E-04 10.0 9.791E-01 1.365E+00 1.547E+00 1.509E+00 1.983E+00 2.703E+00 2.705E+00 2.560E+00 2.504E+00 3.136E+00 3.649E+00 3.853E+00 4.385E+00 4.619E+00 4.977E+00 4.920E+00 4.329E+00 4.901E+00 5.221E+00 5.238E+00 5.095E+00 5.142E+00 4.404E+00 2.778E+00 1.373E+00 4.669E-01 4.133E-01 3.316E-01 2.564E-01 1.930E-01 1.046E-01 5.885E-02 7.468E-02 7.882E-02 4.477E-02 1.069E-02 1.088E-03 2.050E-04 8.659E-05 4.668E-05 Quantum Eo as a function of depth and wavelength Units are (micromol photons)/(m^2 s) [values are integrated over the wavelength bands] depth 355.0 365.0 375.0 385.0 395.0 405.0 415.0 425.0 435.0 445.0 455.0 465.0 475.0 485.0 495.0 505.0 515.0 525.0 535.0 545.0 555.0 565.0 575.0 585.0 595.0 605.0 615.0 625.0 635.0 645.0 655.0 665.0 675.0 685.0 695.0 705.0 715.0 725.0 735.0 745.0 in air 3.236E+01 3.804E+01 3.876E+01 3.485E+01 4.388E+01 6.288E+01 6.771E+01 6.590E+01 6.883E+01 8.260E+01 8.990E+01 9.103E+01 9.405E+01 9.268E+01 9.570E+01 9.551E+01 9.328E+01 9.701E+01 9.971E+01 9.994E+01 1.008E+02 1.015E+02 1.029E+02 1.014E+02 9.874E+01 1.026E+02 1.016E+02 1.019E+02 1.021E+02 1.002E+02 9.709E+01 1.025E+02 1.021E+02 9.496E+01 9.269E+01 9.444E+01 8.753E+01 8.009E+01 8.889E+01 9.515E+01 0.0 2.425E+01 2.910E+01 3.009E+01 2.740E+01 3.481E+01 4.986E+01 5.355E+01 5.217E+01 5.439E+01 6.561E+01 7.191E+01 7.320E+01 7.634E+01 7.578E+01 7.864E+01 7.851E+01 7.605E+01 7.975E+01 8.230E+01 8.255E+01 8.303E+01 8.368E+01 8.368E+01 8.036E+01 7.643E+01 7.786E+01 7.707E+01 7.718E+01 7.717E+01 7.568E+01 7.309E+01 7.706E+01 7.724E+01 7.220E+01 7.003E+01 7.067E+01 6.516E+01 5.947E+01 6.592E+01 7.057E+01 5.0 9.225E+00 1.208E+01 1.323E+01 1.261E+01 1.647E+01 2.328E+01 2.440E+01 2.368E+01 2.416E+01 2.998E+01 3.418E+01 3.576E+01 3.929E+01 4.052E+01 4.321E+01 4.330E+01 4.035E+01 4.431E+01 4.682E+01 4.735E+01 4.722E+01 4.799E+01 4.481E+01 3.520E+01 2.432E+01 1.436E+01 1.354E+01 1.221E+01 1.079E+01 9.320E+00 6.718E+00 4.799E+00 4.629E+00 4.043E+00 2.804E+00 1.248E+00 2.216E-01 1.692E-02 1.961E-03 1.043E-03 10.0 2.905E+00 4.164E+00 4.849E+00 4.857E+00 6.546E+00 9.149E+00 9.381E+00 9.093E+00 9.104E+00 1.166E+01 1.388E+01 1.498E+01 1.741E+01 1.872E+01 2.059E+01 2.076E+01 1.864E+01 2.151E+01 2.335E+01 2.386E+01 2.363E+01 2.428E+01 2.117E+01 1.358E+01 6.830E+00 2.361E+00 2.124E+00 1.732E+00 1.361E+00 1.040E+00 5.725E-01 3.271E-01 4.213E-01 4.512E-01 2.600E-01 6.297E-02 6.504E-03 1.242E-03 5.319E-04 2.907E-04 PAR as a function of depth The wavelengths used for this PAR calculation were 400.0 to 700.0 nm depth PAR(from Eo) PAR(from Ed) (m) (mumol phot/m^2/s) (mumol phot/m^2/s) in air 2.7998E+03 1.8379E+03 0.00 2.2124E+03 1.8076E+03 5.00 8.2334E+02 5.8460E+02 10.00 3.4222E+02 2.2990E+02 K-function for PAR (units of 1/meter) (valid only when zupper and zlower are closely spaced) zupper zlower z KPAR(from Eo) 0.000 0.010 0.005 0.21819 5.000 5.010 5.005 0.18108 10.000 10.010 10.005 0.17273 CIE 1931 chromaticity coordinates (x,y) and (il)luminance Y for selected quantities. Output is (x,y,Y). Y is illuminance in lm/m^2 for Ed and Eu; Y is luminance in lm/(m^2 sr) for Lu and Lw depth Ed Eu Lu Lw in air (0.328, 0.339, 1.024E+05) (0.299, 0.333, 4.935E+03) (0.290, 0.335, 1.026E+03) (0.246, 0.331, 4.537E+02) 0.00 (0.327, 0.339, 1.010E+05) (0.247, 0.333, 3.570E+03) (0.246, 0.331, 8.415E+02) 5.00 (0.272, 0.364, 4.224E+04) (0.229, 0.357, 1.874E+03) (0.229, 0.356, 4.026E+02) 10.00 (0.251, 0.391, 1.829E+04) (0.225, 0.385, 8.879E+02) (0.225, 0.383, 1.841E+02) WARNING: the current estimate for z_SD is greater than the maximum output depth for the run: z_SD cannot be further revised max output depth = 10.00 For a better estimate, rerun HydroLight to a deeper depth Run completed on 07/19/2011 at 13:46:54.2 Total (wall clock) run time = 182.9 sec