======================================================== | | | 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: run1 for comparison of classic vs new casew1 exercise 3 wed class (07/20/2011 13:04) Run started on 07/20/2011 at 13:04:42.4 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 "abNewCase1" is being used: Absorption and scattering coefficients for case 1 water (Morel et al. bio-optical models) are used. component 1 is pure water component 2 is small particles component 3 is large particles component 4 is CDOM 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 The chlorophyll concentration is constant with depth with a value of 2.30 (mg/m^3) The phase function for component 2 comes from a file titled Morel Small Particle Case 1 phase function; (Jul 2004) The chlorophyll values at the requested output depths are: depth Chl (m) (mg/m^3) 0.000 2.300 5.000 2.300 10.000 2.300 chlorophyll AE filename: ..\data\AE_midUVabs.txt ***** 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 33.0 m at 355.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 350.0 nm to 360.0 nm: Ed(diffuse) = 2.986E-01 Ed(direct) = 3.214E-01 Ed(total) = 6.200E-01 Absorption Coefficients of Individual Components at 355.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0176 0.0754 0.0000 0.0580 0.1510 3 4.755 5.000 0.0176 0.0754 0.0000 0.0580 0.1510 5 9.510 10.000 0.0176 0.0754 0.0000 0.0580 0.1510 Scattering Coefficients of Individual Components at 355.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0127 0.2757 0.5116 0.0000 0.8001 3 4.755 5.000 0.0127 0.2757 0.5116 0.0000 0.8001 5 9.510 10.000 0.0127 0.2757 0.5116 0.0000 0.8001 Backscattering Coefficients of Individual Components at 355.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00634 0.00387 0.00090 0.00000 0.01111 3 4.755 5.000 0.00634 0.00387 0.00090 0.00000 0.01111 5 9.510 10.000 0.00634 0.00387 0.00090 0.00000 0.01111 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 0.1510 0.8001 0.9510 0.8413 0.01111 0.01389 3 4.755 5.000 0.1510 0.8001 0.9510 0.8413 0.01111 0.01389 5 9.510 10.000 0.1510 0.8001 0.9510 0.8413 0.01111 0.01389 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4212E-01 8 20.00 8.0204E-01 7 30.00 6.1983E-01 6 40.00 4.3994E-01 5 50.00 2.9153E-01 4 60.00 1.8419E-01 3 70.00 1.1372E-01 2 80.00 7.0817E-02 1 87.50 4.9994E-02 1 92.50 3.9058E-02 2 100.00 2.8904E-02 3 110.00 2.0803E-02 4 120.00 1.5972E-02 5 130.00 1.3109E-02 6 140.00 1.1402E-02 7 150.00 1.0387E-02 8 160.00 9.7986E-03 9 170.00 9.4922E-03 10 180.00 9.3850E-03 Asymptotic AOP values are MUu(inf) = 0.3737 MUd(inf) = 0.7296 MU(inf) = 0.6607 R(inf) = 0.0342 Lu(inf)/Ed(inf) = 0.007175 (1/sr) k(inf) = 0.2285 (1/m) absorp(check) = 0.1510 = 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 1.0361E-01 9.7286E-01 1.0765E+00 3.2914E-02 6.2002E-01 0.3177 0.6373 0.5454 5.3085E-02 1 0.00 0.00 3.9580E-02 7.0635E-01 7.4593E-01 1.6976E-02 6.0408E-01 0.4289 0.8552 0.7871 2.8103E-02 3 4.76 5.00 1.7866E-02 2.8151E-01 2.9938E-01 6.9394E-03 2.1618E-01 0.3884 0.7679 0.6989 3.2099E-02 5 9.51 10.00 6.3341E-03 9.6651E-02 1.0299E-01 2.3992E-03 7.1837E-02 0.3788 0.7433 0.6743 3.3398E-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 0.12253 0.15842 0.15651 0.14317 0.19047 0.19183 0.18493 5.000 5.010 5.005 0.19407 0.20487 0.20423 0.20254 0.21557 0.21600 0.21395 10.000 10.010 10.005 0.21659 0.22009 0.21988 0.21933 0.22375 0.22390 0.22318 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 2.28267E-03 3.68807E-03 5.97075E-03 3.68159E-03 0.045776 9 1 10.0 0.0 180.0 4.97141E-02 2.34318E-03 1.47713E-03 3.82032E-03 3.77919E-03 0.029712 9 4 10.0 45.0 135.0 5.46224E-02 2.32526E-03 1.67395E-03 3.99921E-03 3.75028E-03 0.030646 9 7 10.0 90.0 90.0 7.37994E-02 2.30136E-03 2.89959E-03 5.20095E-03 3.71173E-03 0.039290 8 1 20.0 0.0 180.0 3.90498E-02 2.38040E-03 9.37902E-04 3.31830E-03 3.83922E-03 0.024018 8 4 20.0 45.0 135.0 4.34729E-02 2.34329E-03 1.08299E-03 3.42628E-03 3.77935E-03 0.024912 8 7 20.0 90.0 90.0 6.39248E-02 2.30997E-03 1.99770E-03 4.30766E-03 3.72561E-03 0.031251 7 1 30.0 0.0 180.0 3.38583E-02 2.42860E-03 8.15058E-04 3.24365E-03 3.91694E-03 0.024073 7 4 30.0 45.0 135.0 3.75263E-02 2.40652E-03 9.13617E-04 3.32014E-03 3.88135E-03 0.024346 7 7 30.0 90.0 90.0 5.48121E-02 2.35076E-03 1.47534E-03 3.82610E-03 3.79140E-03 0.026916 6 1 40.0 0.0 180.0 3.21379E-02 2.46788E-03 9.06244E-04 3.37412E-03 3.98030E-03 0.028199 6 4 40.0 45.0 135.0 3.51411E-02 2.43722E-03 9.82865E-04 3.42008E-03 3.93085E-03 0.027969 6 7 40.0 90.0 90.0 4.93375E-02 2.37439E-03 1.41719E-03 3.79158E-03 3.82952E-03 0.028724 5 1 50.0 0.0 180.0 3.36955E-02 2.51657E-03 1.43154E-03 3.94811E-03 4.05882E-03 0.042485 5 4 50.0 45.0 135.0 3.59071E-02 2.46864E-03 1.49141E-03 3.96005E-03 3.98153E-03 0.041535 5 7 50.0 90.0 90.0 4.77295E-02 2.40455E-03 1.92809E-03 4.33264E-03 3.87816E-03 0.040396 4 1 60.0 0.0 180.0 3.99971E-02 2.49632E-03 3.33482E-03 5.83114E-03 4.02618E-03 0.083377 4 4 60.0 45.0 135.0 4.09023E-02 2.44244E-03 3.29308E-03 5.73551E-03 3.93926E-03 0.080511 4 7 60.0 90.0 90.0 5.05090E-02 2.40561E-03 3.84556E-03 6.25118E-03 3.87988E-03 0.076136 3 1 70.0 0.0 180.0 5.54963E-02 2.33110E-03 9.21166E-03 1.15428E-02 3.75969E-03 0.165987 3 4 70.0 45.0 135.0 5.39342E-02 2.30301E-03 8.86333E-03 1.11663E-02 3.71439E-03 0.164336 3 7 70.0 90.0 90.0 6.02972E-02 2.26795E-03 9.63845E-03 1.19064E-02 3.65784E-03 0.159849 2 1 80.0 0.0 180.0 9.42890E-02 2.00750E-03 2.28974E-02 2.49049E-02 3.23778E-03 0.242843 2 4 80.0 45.0 135.0 8.73097E-02 1.97667E-03 2.21466E-02 2.41233E-02 3.18806E-03 0.253655 2 7 80.0 90.0 90.0 8.67430E-02 1.94727E-03 2.31935E-02 2.51408E-02 3.14063E-03 0.267382 1 1 87.5 0.0 180.0 1.52448E-01 1.62430E-03 4.03828E-02 4.20071E-02 2.61974E-03 0.264896 1 4 87.5 45.0 135.0 1.37261E-01 1.52145E-03 4.01335E-02 4.16550E-02 2.45386E-03 0.292389 1 7 87.5 90.0 90.0 1.24877E-01 1.65899E-03 4.10740E-02 4.27330E-02 2.67569E-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 5.971E-03 8.057E-02 9.723E-02 8.380E-02 1.256E-01 9.630E-03 5.512E+00 2.283E-03 3.682E-03 1 0.00 0.00 4.235E-03 1.499E-01 8.447E-03 9.202E-03 1.225E-02 7.011E-03 4.008E+00 3 4.76 5.00 1.539E-03 1.484E-01 4.236E-03 5.452E-03 9.045E-03 7.119E-03 4.509E+00 5 9.51 10.00 5.140E-04 5.617E-02 1.651E-03 2.133E-03 3.226E-03 7.154E-03 4.668E+00 Waveband 1 of 40 completed in 4.7 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 33.0 m at 365.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 360.0 nm to 370.0 nm: Ed(diffuse) = 3.273E-01 Ed(direct) = 3.929E-01 Ed(total) = 7.202E-01 Absorption Coefficients of Individual Components at 365.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0132 0.0686 0.0000 0.0504 0.1322 3 4.654 5.000 0.0132 0.0686 0.0000 0.0504 0.1322 5 9.309 10.000 0.0132 0.0686 0.0000 0.0504 0.1322 Scattering Coefficients of Individual Components at 365.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0113 0.2757 0.5116 0.0000 0.7986 3 4.654 5.000 0.0113 0.2757 0.5116 0.0000 0.7986 5 9.309 10.000 0.0113 0.2757 0.5116 0.0000 0.7986 Backscattering Coefficients of Individual Components at 365.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00563 0.00387 0.00090 0.00000 0.01039 3 4.654 5.000 0.00563 0.00387 0.00090 0.00000 0.01039 5 9.309 10.000 0.00563 0.00387 0.00090 0.00000 0.01039 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 0.1322 0.7986 0.9309 0.8579 0.01039 0.01301 3 4.654 5.000 0.1322 0.7986 0.9309 0.8579 0.01039 0.01301 5 9.309 10.000 0.1322 0.7986 0.9309 0.8579 0.01039 0.01301 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4604E-01 8 20.00 8.1440E-01 7 30.00 6.4042E-01 6 40.00 4.6478E-01 5 50.00 3.1586E-01 4 60.00 2.0480E-01 3 70.00 1.2952E-01 2 80.00 8.2247E-02 1 87.50 5.8663E-02 1 92.50 4.6013E-02 2 100.00 3.4125E-02 3 110.00 2.4504E-02 4 120.00 1.8675E-02 5 130.00 1.5177E-02 6 140.00 1.3071E-02 7 150.00 1.1806E-02 8 160.00 1.1068E-02 9 170.00 1.0682E-02 10 180.00 1.0547E-02 Asymptotic AOP values are MUu(inf) = 0.3703 MUd(inf) = 0.7193 MU(inf) = 0.6447 R(inf) = 0.0379 Lu(inf)/Ed(inf) = 0.007716 (1/sr) k(inf) = 0.2051 (1/m) absorp(check) = 0.1322 = 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 1.1709E-01 1.1135E+00 1.2306E+00 3.8197E-02 7.2024E-01 0.3262 0.6468 0.5542 5.3033E-02 1 0.00 0.00 5.0006E-02 8.2262E-01 8.7262E-01 2.1443E-02 7.0348E-01 0.4288 0.8552 0.7816 3.0481E-02 3 4.65 5.00 2.5768E-02 3.7145E-01 3.9722E-01 9.9777E-03 2.8372E-01 0.3872 0.7638 0.6891 3.5167E-02 5 9.31 10.00 1.0405E-02 1.4453E-01 1.5493E-01 3.9168E-03 1.0637E-01 0.3764 0.7360 0.6613 3.6823E-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 0.10194 0.13710 0.13509 0.12002 0.16770 0.16920 0.16149 5.000 5.010 5.005 0.16722 0.17945 0.17866 0.17654 0.19134 0.19188 0.18935 10.000 10.010 10.005 0.19132 0.19548 0.19520 0.19448 0.19976 0.19996 0.19903 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 2.84508E-03 4.24954E-03 7.09462E-03 3.95016E-03 0.048112 9 1 10.0 0.0 180.0 5.45003E-02 2.91480E-03 1.64705E-03 4.56185E-03 4.04696E-03 0.030221 9 4 10.0 45.0 135.0 5.98811E-02 2.89463E-03 1.87076E-03 4.76539E-03 4.01896E-03 0.031241 9 7 10.0 90.0 90.0 8.09044E-02 2.87025E-03 3.30645E-03 6.17670E-03 3.98510E-03 0.040869 8 1 20.0 0.0 180.0 4.28092E-02 2.96007E-03 1.02960E-03 3.98967E-03 4.10981E-03 0.024051 8 4 20.0 45.0 135.0 4.76582E-02 2.91742E-03 1.19088E-03 4.10830E-03 4.05059E-03 0.024988 8 7 20.0 90.0 90.0 7.00791E-02 2.88487E-03 2.23859E-03 5.12346E-03 4.00540E-03 0.031944 7 1 30.0 0.0 180.0 3.71179E-02 3.02036E-03 8.93525E-04 3.91388E-03 4.19351E-03 0.024073 7 4 30.0 45.0 135.0 4.11402E-02 2.99782E-03 1.00175E-03 3.99957E-03 4.16222E-03 0.024350 7 7 30.0 90.0 90.0 6.00826E-02 2.94095E-03 1.62693E-03 4.56788E-03 4.08326E-03 0.027078 6 1 40.0 0.0 180.0 3.52319E-02 3.07189E-03 9.93490E-04 4.06538E-03 4.26507E-03 0.028199 6 4 40.0 45.0 135.0 3.85242E-02 3.04034E-03 1.07749E-03 4.11782E-03 4.22125E-03 0.027969 6 7 40.0 90.0 90.0 5.40874E-02 2.97920E-03 1.55425E-03 4.53345E-03 4.13637E-03 0.028736 5 1 50.0 0.0 180.0 3.69395E-02 3.13598E-03 1.56936E-03 4.70534E-03 4.35405E-03 0.042485 5 4 50.0 45.0 135.0 3.93640E-02 3.08422E-03 1.63499E-03 4.71921E-03 4.28218E-03 0.041535 5 7 50.0 90.0 90.0 5.23245E-02 3.02516E-03 2.11371E-03 5.13887E-03 4.20019E-03 0.040396 4 1 60.0 0.0 180.0 4.38478E-02 3.11438E-03 3.65587E-03 6.77025E-03 4.32406E-03 0.083377 4 4 60.0 45.0 135.0 4.48401E-02 3.05617E-03 3.61011E-03 6.66629E-03 4.24324E-03 0.080511 4 7 60.0 90.0 90.0 5.53716E-02 3.03436E-03 4.21579E-03 7.25015E-03 4.21295E-03 0.076136 3 1 70.0 0.0 180.0 6.08391E-02 2.91174E-03 1.00985E-02 1.30102E-02 4.04271E-03 0.165987 3 4 70.0 45.0 135.0 5.91267E-02 2.88610E-03 9.71663E-03 1.26027E-02 4.00711E-03 0.164336 3 7 70.0 90.0 90.0 6.61022E-02 2.86773E-03 1.05664E-02 1.34341E-02 3.98160E-03 0.159849 2 1 80.0 0.0 180.0 1.03367E-01 2.50996E-03 2.51019E-02 2.76118E-02 3.48486E-03 0.242843 2 4 80.0 45.0 135.0 9.57154E-02 2.48018E-03 2.42787E-02 2.67589E-02 3.44353E-03 0.253655 2 7 80.0 90.0 90.0 9.50940E-02 2.46691E-03 2.54264E-02 2.78933E-02 3.42510E-03 0.267382 1 1 87.5 0.0 180.0 1.67125E-01 2.03218E-03 4.42706E-02 4.63028E-02 2.82151E-03 0.264896 1 4 87.5 45.0 135.0 1.50475E-01 1.91057E-03 4.39973E-02 4.59079E-02 2.65267E-03 0.292389 1 7 87.5 90.0 90.0 1.36899E-01 2.10441E-03 4.50284E-02 4.71328E-02 2.92180E-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 7.095E-03 8.833E-02 1.067E-01 9.202E-02 1.378E-01 9.850E-03 5.384E+00 2.845E-03 3.950E-03 1 0.00 0.00 5.278E-03 1.644E-01 1.049E-02 1.156E-02 1.553E-02 7.503E-03 4.063E+00 3 4.65 5.00 2.167E-03 1.917E-01 5.962E-03 7.776E-03 1.310E-02 7.639E-03 4.604E+00 5 9.31 10.00 8.177E-04 8.117E-02 2.661E-03 3.490E-03 5.367E-03 7.687E-03 4.790E+00 Waveband 2 of 40 completed in 4.6 sec. * * * * * Output for wavelength band 3 (370.0 to 380.0 nm; nominal wavelength = 375.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 33.0 m at 375.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 370.0 nm to 380.0 nm: Ed(diffuse) = 3.130E-01 Ed(direct) = 4.113E-01 Ed(total) = 7.243E-01 Absorption Coefficients of Individual Components at 375.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0115 0.0715 0.0000 0.0438 0.1269 3 4.621 5.000 0.0115 0.0715 0.0000 0.0438 0.1269 5 9.242 10.000 0.0115 0.0715 0.0000 0.0438 0.1269 Scattering Coefficients of Individual Components at 375.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0100 0.2757 0.5116 0.0000 0.7974 3 4.621 5.000 0.0100 0.2757 0.5116 0.0000 0.7974 5 9.242 10.000 0.0100 0.2757 0.5116 0.0000 0.7974 Backscattering Coefficients of Individual Components at 375.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00501 0.00387 0.00090 0.00000 0.00977 3 4.621 5.000 0.00501 0.00387 0.00090 0.00000 0.00977 5 9.242 10.000 0.00501 0.00387 0.00090 0.00000 0.00977 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 0.1269 0.7974 0.9242 0.8627 0.00977 0.01225 3 4.621 5.000 0.1269 0.7974 0.9242 0.8627 0.00977 0.01225 5 9.242 10.000 0.1269 0.7974 0.9242 0.8627 0.00977 0.01225 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4719E-01 8 20.00 8.1801E-01 7 30.00 6.4648E-01 6 40.00 4.7213E-01 5 50.00 3.2308E-01 4 60.00 2.1088E-01 3 70.00 1.3412E-01 2 80.00 8.5472E-02 1 87.50 6.1010E-02 1 92.50 4.7809E-02 2 100.00 3.5365E-02 3 110.00 2.5261E-02 4 120.00 1.9116E-02 5 130.00 1.5420E-02 6 140.00 1.3189E-02 7 150.00 1.1847E-02 8 160.00 1.1064E-02 9 170.00 1.0653E-02 10 180.00 1.0510E-02 Asymptotic AOP values are MUu(inf) = 0.3671 MUd(inf) = 0.7166 MU(inf) = 0.6416 R(inf) = 0.0381 Lu(inf)/Ed(inf) = 0.007593 (1/sr) k(inf) = 0.1977 (1/m) absorp(check) = 0.1269 = 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 1.1368E-01 1.1060E+00 1.2197E+00 3.7678E-02 7.2429E-01 0.3314 0.6549 0.5629 5.2020E-02 1 0.00 0.00 5.0027E-02 8.2608E-01 8.7610E-01 2.1395E-02 7.0800E-01 0.4277 0.8571 0.7837 3.0219E-02 3 4.62 5.00 2.7073E-02 3.8852E-01 4.1559E-01 1.0425E-02 2.9679E-01 0.3851 0.7639 0.6891 3.5126E-02 5 9.24 10.00 1.1427E-02 1.5745E-01 1.6887E-01 4.2705E-03 1.1566E-01 0.3737 0.7346 0.6596 3.6923E-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 0.09366 0.12990 0.12783 0.11123 0.16035 0.16188 0.15357 5.000 5.010 5.005 0.15779 0.17112 0.17025 0.16761 0.18352 0.18410 0.18126 10.000 10.010 10.005 0.18292 0.18753 0.18722 0.18631 0.19210 0.19232 0.19126 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 2.80846E-03 4.24468E-03 7.05314E-03 3.87753E-03 0.050258 9 1 10.0 0.0 180.0 5.21139E-02 2.87375E-03 1.59925E-03 4.47300E-03 3.96767E-03 0.030688 9 4 10.0 45.0 135.0 5.72591E-02 2.85515E-03 1.82014E-03 4.67529E-03 3.94199E-03 0.031788 9 7 10.0 90.0 90.0 7.73618E-02 2.83440E-03 3.27379E-03 6.10819E-03 3.91334E-03 0.042318 8 1 20.0 0.0 180.0 4.09347E-02 2.91769E-03 9.85746E-04 3.90344E-03 4.02834E-03 0.024081 8 4 20.0 45.0 135.0 4.55714E-02 2.87775E-03 1.14192E-03 4.01967E-03 3.97319E-03 0.025058 8 7 20.0 90.0 90.0 6.70105E-02 2.85115E-03 2.18321E-03 5.03436E-03 3.93646E-03 0.032580 7 1 30.0 0.0 180.0 3.54926E-02 2.97727E-03 8.54399E-04 3.83167E-03 4.11059E-03 0.024073 7 4 30.0 45.0 135.0 3.93397E-02 2.95797E-03 9.58037E-04 3.91601E-03 4.08395E-03 0.024353 7 7 30.0 90.0 90.0 5.74460E-02 2.90966E-03 1.56408E-03 4.47374E-03 4.01725E-03 0.027227 6 1 40.0 0.0 180.0 3.36892E-02 3.02955E-03 9.49987E-04 3.97954E-03 4.18278E-03 0.028199 6 4 40.0 45.0 135.0 3.68373E-02 3.00239E-03 1.03031E-03 4.03270E-03 4.14528E-03 0.027969 6 7 40.0 90.0 90.0 5.17190E-02 2.95285E-03 1.48674E-03 4.43958E-03 4.07688E-03 0.028746 5 1 50.0 0.0 180.0 3.53220E-02 3.09482E-03 1.50064E-03 4.59546E-03 4.27289E-03 0.042485 5 4 50.0 45.0 135.0 3.76404E-02 3.04857E-03 1.56340E-03 4.61196E-03 4.20903E-03 0.041535 5 7 50.0 90.0 90.0 5.00334E-02 3.00365E-03 2.02116E-03 5.02481E-03 4.14702E-03 0.040396 4 1 60.0 0.0 180.0 4.19278E-02 3.07571E-03 3.49579E-03 6.57150E-03 4.24651E-03 0.083377 4 4 60.0 45.0 135.0 4.28767E-02 3.02377E-03 3.45203E-03 6.47581E-03 4.17480E-03 0.080511 4 7 60.0 90.0 90.0 5.29471E-02 3.01800E-03 4.03119E-03 7.04920E-03 4.16684E-03 0.076136 3 1 70.0 0.0 180.0 5.81751E-02 2.87792E-03 9.65632E-03 1.25342E-02 3.97343E-03 0.165987 3 4 70.0 45.0 135.0 5.65377E-02 2.85849E-03 9.29117E-03 1.21497E-02 3.94660E-03 0.164336 3 7 70.0 90.0 90.0 6.32078E-02 2.85739E-03 1.01037E-02 1.29611E-02 3.94509E-03 0.159849 2 1 80.0 0.0 180.0 9.88404E-02 2.48256E-03 2.40027E-02 2.64853E-02 3.42756E-03 0.242843 2 4 80.0 45.0 135.0 9.15242E-02 2.45871E-03 2.32156E-02 2.56743E-02 3.39464E-03 0.253655 2 7 80.0 90.0 90.0 9.09301E-02 2.46170E-03 2.43131E-02 2.67748E-02 3.39876E-03 0.267382 1 1 87.5 0.0 180.0 1.59807E-01 2.01120E-03 4.23321E-02 4.43433E-02 2.77678E-03 0.264896 1 4 87.5 45.0 135.0 1.43886E-01 1.89545E-03 4.20708E-02 4.39662E-02 2.61697E-03 0.292389 1 7 87.5 90.0 90.0 1.30905E-01 2.10257E-03 4.30567E-02 4.51593E-02 2.90294E-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 7.053E-03 8.446E-02 1.021E-01 8.803E-02 1.319E-01 9.738E-03 5.342E+00 2.808E-03 3.878E-03 1 0.00 0.00 5.210E-03 1.572E-01 1.038E-02 1.155E-02 1.575E-02 7.359E-03 4.107E+00 3 4.62 5.00 2.228E-03 1.996E-01 6.184E-03 8.181E-03 1.402E-02 7.507E-03 4.679E+00 5 9.24 10.00 8.745E-04 8.781E-02 2.897E-03 3.854E-03 6.024E-03 7.561E-03 4.883E+00 Waveband 3 of 40 completed in 4.5 sec. * * * * * Output for wavelength band 4 (380.0 to 390.0 nm; nominal wavelength = 385.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 33.0 m at 385.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 380.0 nm to 390.0 nm: Ed(diffuse) = 2.649E-01 Ed(direct) = 3.776E-01 Ed(total) = 6.425E-01 Absorption Coefficients of Individual Components at 385.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0094 0.0752 0.0000 0.0381 0.1227 3 4.595 5.000 0.0094 0.0752 0.0000 0.0381 0.1227 5 9.190 10.000 0.0094 0.0752 0.0000 0.0381 0.1227 Scattering Coefficients of Individual Components at 385.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0089 0.2757 0.5116 0.0000 0.7963 3 4.595 5.000 0.0089 0.2757 0.5116 0.0000 0.7963 5 9.190 10.000 0.0089 0.2757 0.5116 0.0000 0.7963 Backscattering Coefficients of Individual Components at 385.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00447 0.00387 0.00090 0.00000 0.00923 3 4.595 5.000 0.00447 0.00387 0.00090 0.00000 0.00923 5 9.190 10.000 0.00447 0.00387 0.00090 0.00000 0.00923 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 0.1227 0.7963 0.9190 0.8665 0.00923 0.01160 3 4.595 5.000 0.1227 0.7963 0.9190 0.8665 0.00923 0.01160 5 9.190 10.000 0.1227 0.7963 0.9190 0.8665 0.00923 0.01160 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4809E-01 8 20.00 8.2085E-01 7 30.00 6.5126E-01 6 40.00 4.7795E-01 5 50.00 3.2882E-01 4 60.00 2.1575E-01 3 70.00 1.3780E-01 2 80.00 8.8049E-02 1 87.50 6.2871E-02 1 92.50 4.9219E-02 2 100.00 3.6319E-02 3 110.00 2.5816E-02 4 120.00 1.9411E-02 5 130.00 1.5550E-02 6 140.00 1.3216E-02 7 150.00 1.1811E-02 8 160.00 1.0990E-02 9 170.00 1.0559E-02 10 180.00 1.0409E-02 Asymptotic AOP values are MUu(inf) = 0.3642 MUd(inf) = 0.7145 MU(inf) = 0.6394 R(inf) = 0.0381 Lu(inf)/Ed(inf) = 0.007446 (1/sr) k(inf) = 0.1919 (1/m) absorp(check) = 0.1227 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 385.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 9.7583E-02 9.7025E-01 1.0678E+00 3.2808E-02 6.4248E-01 0.3362 0.6622 0.5709 5.1065E-02 1 0.00 0.00 4.3992E-02 7.3171E-01 7.7571E-01 1.8764E-02 6.2843E-01 0.4265 0.8588 0.7859 2.9858E-02 3 4.60 5.00 2.4775E-02 3.5540E-01 3.8018E-01 9.4912E-03 2.7159E-01 0.3831 0.7642 0.6894 3.4946E-02 5 9.19 10.00 1.0836E-02 1.4875E-01 1.5958E-01 4.0228E-03 1.0913E-01 0.3712 0.7336 0.6586 3.6863E-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 0.08621 0.12417 0.12202 0.10400 0.15456 0.15612 0.14723 5.000 5.010 5.005 0.15017 0.16450 0.16357 0.16043 0.17735 0.17796 0.17485 10.000 10.010 10.005 0.17623 0.18124 0.18090 0.17981 0.18605 0.18628 0.18511 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 2.43796E-03 3.74265E-03 6.18061E-03 3.79460E-03 0.052353 9 1 10.0 0.0 180.0 4.41115E-02 2.49156E-03 1.37379E-03 3.86535E-03 3.87803E-03 0.031143 9 4 10.0 45.0 135.0 4.84666E-02 2.47654E-03 1.56652E-03 4.04306E-03 3.85465E-03 0.032322 9 7 10.0 90.0 90.0 6.54825E-02 2.46138E-03 2.86374E-03 5.32513E-03 3.83105E-03 0.043733 8 1 20.0 0.0 180.0 3.46490E-02 2.52902E-03 8.35396E-04 3.36441E-03 3.93632E-03 0.024110 8 4 20.0 45.0 135.0 3.85737E-02 2.49619E-03 9.69209E-04 3.46540E-03 3.88523E-03 0.025126 8 7 20.0 90.0 90.0 5.67207E-02 2.47784E-03 1.88321E-03 4.36105E-03 3.85667E-03 0.033201 7 1 30.0 0.0 180.0 3.00425E-02 2.58070E-03 7.23201E-04 3.30390E-03 4.01677E-03 0.024073 7 4 30.0 45.0 135.0 3.32996E-02 2.56648E-03 8.11052E-04 3.37753E-03 3.99463E-03 0.024356 7 7 30.0 90.0 90.0 4.86201E-02 2.53125E-03 1.33084E-03 3.86209E-03 3.93980E-03 0.027372 6 1 40.0 0.0 180.0 2.85161E-02 2.62716E-03 8.04110E-04 3.43127E-03 4.08908E-03 0.028199 6 4 40.0 45.0 135.0 3.11808E-02 2.60700E-03 8.72100E-04 3.47910E-03 4.05771E-03 0.027969 6 7 40.0 90.0 90.0 4.37773E-02 2.57323E-03 1.25889E-03 3.83212E-03 4.00514E-03 0.028757 5 1 50.0 0.0 180.0 2.98981E-02 2.68540E-03 1.27021E-03 3.95561E-03 4.17973E-03 0.042485 5 4 50.0 45.0 135.0 3.18605E-02 2.64940E-03 1.32333E-03 3.97273E-03 4.12369E-03 0.041535 5 7 50.0 90.0 90.0 4.23505E-02 2.62184E-03 1.71080E-03 4.33264E-03 4.08079E-03 0.040396 4 1 60.0 0.0 180.0 3.54895E-02 2.67059E-03 2.95900E-03 5.62959E-03 4.15669E-03 0.083377 4 4 60.0 45.0 135.0 3.62927E-02 2.63024E-03 2.92196E-03 5.55219E-03 4.09387E-03 0.080511 4 7 60.0 90.0 90.0 4.48168E-02 2.63868E-03 3.41218E-03 6.05086E-03 4.10701E-03 0.076136 3 1 70.0 0.0 180.0 4.92420E-02 2.50076E-03 8.17354E-03 1.06743E-02 3.89235E-03 0.165987 3 4 70.0 45.0 135.0 4.78560E-02 2.48892E-03 7.86446E-03 1.03534E-02 3.87391E-03 0.164336 3 7 70.0 90.0 90.0 5.35019E-02 2.50249E-03 8.55223E-03 1.10547E-02 3.89503E-03 0.159849 2 1 80.0 0.0 180.0 8.36629E-02 2.15865E-03 2.03170E-02 2.24756E-02 3.35986E-03 0.242843 2 4 80.0 45.0 135.0 7.74702E-02 2.14268E-03 1.96507E-02 2.17934E-02 3.33500E-03 0.253655 2 7 80.0 90.0 90.0 7.69673E-02 2.15898E-03 2.05797E-02 2.27386E-02 3.36037E-03 0.267382 1 1 87.5 0.0 180.0 1.35268E-01 1.74979E-03 3.58318E-02 3.75816E-02 2.72349E-03 0.264896 1 4 87.5 45.0 135.0 1.21792E-01 1.65300E-03 3.56106E-02 3.72636E-02 2.57284E-03 0.292389 1 7 87.5 90.0 90.0 1.10804E-01 1.84619E-03 3.64451E-02 3.82913E-02 2.87353E-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 6.181E-03 7.149E-02 8.642E-02 7.455E-02 1.117E-01 9.620E-03 5.308E+00 2.438E-03 3.795E-03 1 0.00 0.00 4.522E-03 1.331E-01 9.033E-03 1.015E-02 1.403E-02 7.196E-03 4.149E+00 3 4.60 5.00 1.998E-03 1.821E-01 5.593E-03 7.499E-03 1.306E-02 7.356E-03 4.751E+00 5 9.19 10.00 8.092E-04 8.254E-02 2.726E-03 3.675E-03 5.828E-03 7.415E-03 4.971E+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 33.0 m at 395.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 390.0 nm to 400.0 nm: Ed(diffuse) = 3.149E-01 Ed(direct) = 4.830E-01 Ed(total) = 7.979E-01 Absorption Coefficients of Individual Components at 395.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0081 0.0765 0.0000 0.0331 0.1177 3 4.566 5.000 0.0081 0.0765 0.0000 0.0331 0.1177 5 9.131 10.000 0.0081 0.0765 0.0000 0.0331 0.1177 Scattering Coefficients of Individual Components at 395.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0080 0.2757 0.5116 0.0000 0.7954 3 4.566 5.000 0.0080 0.2757 0.5116 0.0000 0.7954 5 9.131 10.000 0.0080 0.2757 0.5116 0.0000 0.7954 Backscattering Coefficients of Individual Components at 395.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00400 0.00387 0.00090 0.00000 0.00877 3 4.566 5.000 0.00400 0.00387 0.00090 0.00000 0.00877 5 9.131 10.000 0.00400 0.00387 0.00090 0.00000 0.00877 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 0.1177 0.7954 0.9131 0.8711 0.00877 0.01102 3 4.566 5.000 0.1177 0.7954 0.9131 0.8711 0.00877 0.01102 5 9.131 10.000 0.1177 0.7954 0.9131 0.8711 0.00877 0.01102 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4919E-01 8 20.00 8.2436E-01 7 30.00 6.5721E-01 6 40.00 4.8529E-01 5 50.00 3.3618E-01 4 60.00 2.2211E-01 3 70.00 1.4274E-01 2 80.00 9.1618E-02 1 87.50 6.5538E-02 1 92.50 5.1307E-02 2 100.00 3.7814E-02 3 110.00 2.6784E-02 4 120.00 2.0028E-02 5 130.00 1.5942E-02 6 140.00 1.3466E-02 7 150.00 1.1972E-02 8 160.00 1.1097E-02 9 170.00 1.0638E-02 10 180.00 1.0478E-02 Asymptotic AOP values are MUu(inf) = 0.3617 MUd(inf) = 0.7117 MU(inf) = 0.6358 R(inf) = 0.0387 Lu(inf)/Ed(inf) = 0.007402 (1/sr) k(inf) = 0.1852 (1/m) absorp(check) = 0.1177 = 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 1.1798E-01 1.1930E+00 1.3109E+00 4.0274E-02 7.9790E-01 0.3414 0.6688 0.5779 5.0475E-02 1 0.00 0.00 5.5271E-02 9.0841E-01 9.6368E-01 2.3540E-02 7.8116E-01 0.4259 0.8599 0.7862 3.0135E-02 3 4.57 5.00 3.2429E-02 4.5774E-01 4.9016E-01 1.2383E-02 3.4960E-01 0.3819 0.7638 0.6880 3.5421E-02 5 9.13 10.00 1.4749E-02 1.9880E-01 2.1355E-01 5.4488E-03 1.4551E-01 0.3694 0.7319 0.6559 3.7447E-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 0.07978 0.11787 0.11569 0.09698 0.14793 0.14952 0.14057 5.000 5.010 5.005 0.14198 0.15695 0.15596 0.15267 0.17026 0.17091 0.16787 10.000 10.010 10.005 0.16877 0.17400 0.17364 0.17257 0.17906 0.17931 0.17829 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 3.03185E-03 4.62298E-03 7.65483E-03 3.79977E-03 0.054402 9 1 10.0 0.0 180.0 5.24353E-02 3.09387E-03 1.65639E-03 4.75026E-03 3.87750E-03 0.031589 9 4 10.0 45.0 135.0 5.76123E-02 3.07685E-03 1.89219E-03 4.96904E-03 3.85616E-03 0.032844 9 7 10.0 90.0 90.0 7.78390E-02 3.06214E-03 3.51185E-03 6.57398E-03 3.83773E-03 0.045117 8 1 20.0 0.0 180.0 4.11872E-02 3.13907E-03 9.94217E-04 4.13328E-03 3.93414E-03 0.024139 8 4 20.0 45.0 135.0 4.58525E-02 3.10099E-03 1.15516E-03 4.25615E-03 3.88642E-03 0.025193 8 7 20.0 90.0 90.0 6.74239E-02 3.08501E-03 2.27954E-03 5.36454E-03 3.86639E-03 0.033809 7 1 30.0 0.0 180.0 3.57115E-02 3.20283E-03 8.59667E-04 4.06250E-03 4.01406E-03 0.024073 7 4 30.0 45.0 135.0 3.95842E-02 3.18891E-03 9.64244E-04 4.15315E-03 3.99661E-03 0.024359 7 7 30.0 90.0 90.0 5.77892E-02 3.15468E-03 1.59002E-03 4.74470E-03 3.95371E-03 0.027514 6 1 40.0 0.0 180.0 3.38970E-02 3.26145E-03 9.55845E-04 4.21730E-03 4.08753E-03 0.028198 6 4 40.0 45.0 135.0 3.70646E-02 3.24141E-03 1.03666E-03 4.27808E-03 4.06241E-03 0.027969 6 7 40.0 90.0 90.0 5.20381E-02 3.21239E-03 1.49697E-03 4.70936E-03 4.02604E-03 0.028767 5 1 50.0 0.0 180.0 3.55399E-02 3.33548E-03 1.50990E-03 4.84537E-03 4.18030E-03 0.042485 5 4 50.0 45.0 135.0 3.78725E-02 3.29672E-03 1.57304E-03 4.86976E-03 4.13173E-03 0.041535 5 7 50.0 90.0 90.0 5.03420E-02 3.27818E-03 2.03363E-03 5.31181E-03 4.10849E-03 0.040396 4 1 60.0 0.0 180.0 4.21864E-02 3.31898E-03 3.51736E-03 6.83633E-03 4.15962E-03 0.083377 4 4 60.0 45.0 135.0 4.31411E-02 3.27557E-03 3.47333E-03 6.74890E-03 4.10522E-03 0.080511 4 7 60.0 90.0 90.0 5.32736E-02 3.30422E-03 4.05606E-03 7.36028E-03 4.14113E-03 0.076136 3 1 70.0 0.0 180.0 5.85340E-02 3.10995E-03 9.71588E-03 1.28258E-02 3.89765E-03 0.165987 3 4 70.0 45.0 135.0 5.68864E-02 3.10227E-03 9.34848E-03 1.24507E-02 3.88802E-03 0.164336 3 7 70.0 90.0 90.0 6.35977E-02 3.13829E-03 1.01660E-02 1.33043E-02 3.93317E-03 0.159849 2 1 80.0 0.0 180.0 9.94501E-02 2.68600E-03 2.41508E-02 2.68368E-02 3.36632E-03 0.242843 2 4 80.0 45.0 135.0 9.20888E-02 2.67268E-03 2.33588E-02 2.60315E-02 3.34962E-03 0.253655 2 7 80.0 90.0 90.0 9.14910E-02 2.71069E-03 2.44630E-02 2.71737E-02 3.39726E-03 0.267382 1 1 87.5 0.0 180.0 1.60792E-01 2.17824E-03 4.25933E-02 4.47715E-02 2.72995E-03 0.264896 1 4 87.5 45.0 135.0 1.44774E-01 2.06305E-03 4.23303E-02 4.43933E-02 2.58558E-03 0.292389 1 7 87.5 90.0 90.0 1.31712E-01 2.32003E-03 4.33223E-02 4.56423E-02 2.90766E-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 7.655E-03 8.498E-02 1.028E-01 8.868E-02 1.328E-01 9.594E-03 5.261E+00 3.032E-03 3.800E-03 1 0.00 0.00 5.624E-03 1.582E-01 1.123E-02 1.274E-02 1.777E-02 7.199E-03 4.186E+00 3 4.57 5.00 2.573E-03 2.333E-01 7.229E-03 9.796E-03 1.727E-02 7.359E-03 4.813E+00 5 9.13 10.00 1.079E-03 1.094E-01 3.676E-03 5.011E-03 8.039E-03 7.413E-03 5.051E+00 Waveband 5 of 40 completed in 4.5 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 33.0 m at 405.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 400.0 nm to 410.0 nm: Ed(diffuse) = 4.287E-01 Ed(direct) = 6.992E-01 Ed(total) = 1.128E+00 Absorption Coefficients of Individual Components at 405.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0053 0.0798 0.0000 0.0288 0.1139 3 4.542 5.000 0.0053 0.0798 0.0000 0.0288 0.1139 5 9.084 10.000 0.0053 0.0798 0.0000 0.0288 0.1139 Scattering Coefficients of Individual Components at 405.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0072 0.2757 0.5116 0.0000 0.7946 3 4.542 5.000 0.0072 0.2757 0.5116 0.0000 0.7946 5 9.084 10.000 0.0072 0.2757 0.5116 0.0000 0.7946 Backscattering Coefficients of Individual Components at 405.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00359 0.00387 0.00090 0.00000 0.00836 3 4.542 5.000 0.00359 0.00387 0.00090 0.00000 0.00836 5 9.084 10.000 0.00359 0.00387 0.00090 0.00000 0.00836 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 0.1139 0.7946 0.9084 0.8746 0.00836 0.01052 3 4.542 5.000 0.1139 0.7946 0.9084 0.8746 0.00836 0.01052 5 9.084 10.000 0.1139 0.7946 0.9084 0.8746 0.00836 0.01052 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5005E-01 8 20.00 8.2712E-01 7 30.00 6.6190E-01 6 40.00 4.9111E-01 5 50.00 3.4204E-01 4 60.00 2.2720E-01 3 70.00 1.4671E-01 2 80.00 9.4486E-02 1 87.50 6.7674E-02 1 92.50 5.2971E-02 2 100.00 3.8991E-02 3 110.00 2.7527E-02 4 120.00 2.0481E-02 5 130.00 1.6208E-02 6 140.00 1.3613E-02 7 150.00 1.2046E-02 8 160.00 1.1127E-02 9 170.00 1.0644E-02 10 180.00 1.0476E-02 Asymptotic AOP values are MUu(inf) = 0.3594 MUd(inf) = 0.7094 MU(inf) = 0.6331 R(inf) = 0.0390 Lu(inf)/Ed(inf) = 0.007328 (1/sr) k(inf) = 0.1799 (1/m) absorp(check) = 0.1139 = 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 1.6297E-01 1.6724E+00 1.8354E+00 5.6351E-02 1.1279E+00 0.3458 0.6745 0.5839 4.9959E-02 1 0.00 0.00 7.8753E-02 1.2837E+00 1.3624E+00 3.3492E-02 1.1051E+00 0.4253 0.8609 0.7865 3.0308E-02 3 4.54 5.00 4.7722E-02 6.6582E-01 7.1354E-01 1.8168E-02 5.0835E-01 0.3807 0.7635 0.6870 3.5740E-02 5 9.08 10.00 2.2382E-02 2.9774E-01 3.2012E-01 8.2323E-03 2.1753E-01 0.3678 0.7306 0.6538 3.7844E-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 0.07455 0.11290 0.11069 0.09150 0.14272 0.14432 0.13546 5.000 5.010 5.005 0.13554 0.15099 0.14996 0.14660 0.16467 0.16534 0.16248 10.000 10.010 10.005 0.16289 0.16829 0.16791 0.16691 0.17356 0.17382 0.17301 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 405.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.15686E-01 4.27924E-03 6.50596E-03 1.07852E-02 3.79383E-03 0.056238 9 1 10.0 0.0 180.0 7.13830E-02 4.36048E-03 2.28345E-03 6.64393E-03 3.86585E-03 0.031989 9 4 10.0 45.0 135.0 7.84307E-02 4.33868E-03 2.61264E-03 6.95133E-03 3.84653E-03 0.033311 9 7 10.0 90.0 90.0 1.05966E-01 4.32348E-03 4.91231E-03 9.23579E-03 3.83305E-03 0.046357 8 1 20.0 0.0 180.0 5.60704E-02 4.42229E-03 1.35492E-03 5.77722E-03 3.92066E-03 0.024165 8 4 20.0 45.0 135.0 6.24214E-02 4.37226E-03 1.57631E-03 5.94858E-03 3.87630E-03 0.025253 8 7 20.0 90.0 90.0 9.17877E-02 4.35886E-03 3.15324E-03 7.51210E-03 3.86442E-03 0.034354 7 1 30.0 0.0 180.0 4.86160E-02 4.51147E-03 1.17031E-03 5.68178E-03 3.99972E-03 0.024073 7 4 30.0 45.0 135.0 5.38891E-02 4.49687E-03 1.31286E-03 5.80973E-03 3.98677E-03 0.024362 7 7 30.0 90.0 90.0 7.86649E-02 4.46139E-03 2.17442E-03 6.63580E-03 3.95532E-03 0.027642 6 1 40.0 0.0 180.0 4.61458E-02 4.59512E-03 1.30124E-03 5.89636E-03 4.07388E-03 0.028198 6 4 40.0 45.0 135.0 5.04580E-02 4.57358E-03 1.41127E-03 5.98485E-03 4.05478E-03 0.027969 6 7 40.0 90.0 90.0 7.08422E-02 4.54994E-03 2.03855E-03 6.58849E-03 4.03383E-03 0.028776 5 1 50.0 0.0 180.0 4.83824E-02 4.70155E-03 2.05551E-03 6.75705E-03 4.16823E-03 0.042485 5 4 50.0 45.0 135.0 5.15579E-02 4.65493E-03 2.14146E-03 6.79639E-03 4.12690E-03 0.041535 5 7 50.0 90.0 90.0 6.85333E-02 4.64969E-03 2.76849E-03 7.41818E-03 4.12226E-03 0.040396 4 1 60.0 0.0 180.0 5.74306E-02 4.68069E-03 4.78837E-03 9.46906E-03 4.14975E-03 0.083377 4 4 60.0 45.0 135.0 5.87304E-02 4.62851E-03 4.72843E-03 9.35693E-03 4.10348E-03 0.080511 4 7 60.0 90.0 90.0 7.25243E-02 4.69304E-03 5.52173E-03 1.02148E-02 4.16069E-03 0.076136 3 1 70.0 0.0 180.0 7.96854E-02 4.38857E-03 1.32267E-02 1.76153E-02 3.89076E-03 0.165987 3 4 70.0 45.0 135.0 7.74426E-02 4.38714E-03 1.27266E-02 1.71137E-02 3.88949E-03 0.164336 3 7 70.0 90.0 90.0 8.65789E-02 4.46331E-03 1.38396E-02 1.83029E-02 3.95703E-03 0.159849 2 1 80.0 0.0 180.0 1.35387E-01 3.79230E-03 3.28778E-02 3.66701E-02 3.36213E-03 0.242843 2 4 80.0 45.0 135.0 1.25365E-01 3.78222E-03 3.17996E-02 3.55818E-02 3.35319E-03 0.253655 2 7 80.0 90.0 90.0 1.24552E-01 3.85929E-03 3.33028E-02 3.71621E-02 3.42152E-03 0.267382 1 1 87.5 0.0 180.0 2.18895E-01 3.07676E-03 5.79845E-02 6.10612E-02 2.72775E-03 0.264896 1 4 87.5 45.0 135.0 1.97088E-01 2.92109E-03 5.76265E-02 6.05476E-02 2.58974E-03 0.292389 1 7 87.5 90.0 90.0 1.79307E-01 3.30581E-03 5.89769E-02 6.22827E-02 2.93082E-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 1.079E-02 1.157E-01 1.400E-01 1.208E-01 1.809E-01 9.562E-03 5.225E+00 4.279E-03 3.794E-03 1 0.00 0.00 7.937E-03 2.153E-01 1.586E-02 1.814E-02 2.552E-02 7.182E-03 4.220E+00 3 4.54 5.00 3.730E-03 3.381E-01 1.052E-02 1.440E-02 2.565E-02 7.338E-03 4.871E+00 5 9.08 10.00 1.606E-03 1.629E-01 5.533E-03 7.618E-03 1.234E-02 7.384E-03 5.125E+00 Waveband 6 of 40 completed in 4.4 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 33.0 m at 415.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 410.0 nm to 420.0 nm: Ed(diffuse) = 4.394E-01 Ed(direct) = 7.590E-01 Ed(total) = 1.198E+00 Absorption Coefficients of Individual Components at 415.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0044 0.0851 0.0000 0.0250 0.1146 3 4.542 5.000 0.0044 0.0851 0.0000 0.0250 0.1146 5 9.084 10.000 0.0044 0.0851 0.0000 0.0250 0.1146 Scattering Coefficients of Individual Components at 415.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0065 0.2757 0.5116 0.0000 0.7938 3 4.542 5.000 0.0065 0.2757 0.5116 0.0000 0.7938 5 9.084 10.000 0.0065 0.2757 0.5116 0.0000 0.7938 Backscattering Coefficients of Individual Components at 415.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00323 0.00387 0.00090 0.00000 0.00800 3 4.542 5.000 0.00323 0.00387 0.00090 0.00000 0.00800 5 9.084 10.000 0.00323 0.00387 0.00090 0.00000 0.00800 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 0.1146 0.7938 0.9084 0.8739 0.00800 0.01007 3 4.542 5.000 0.1146 0.7938 0.9084 0.8739 0.00800 0.01007 5 9.084 10.000 0.1146 0.7938 0.9084 0.8739 0.00800 0.01007 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4987E-01 8 20.00 8.2653E-01 7 30.00 6.6086E-01 6 40.00 4.8972E-01 5 50.00 3.4050E-01 4 60.00 2.2568E-01 3 70.00 1.4532E-01 2 80.00 9.3271E-02 1 87.50 6.6593E-02 1 92.50 5.1983E-02 2 100.00 3.8111E-02 3 110.00 2.6758E-02 4 120.00 1.9795E-02 5 130.00 1.5581E-02 6 140.00 1.3028E-02 7 150.00 1.1488E-02 8 160.00 1.0586E-02 9 170.00 1.0112E-02 10 180.00 9.9481E-03 Asymptotic AOP values are MUu(inf) = 0.3568 MUd(inf) = 0.7103 MU(inf) = 0.6359 R(inf) = 0.0377 Lu(inf)/Ed(inf) = 0.006977 (1/sr) k(inf) = 0.1802 (1/m) absorp(check) = 0.1146 = 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 1.6804E-01 1.7632E+00 1.9313E+00 5.8586E-02 1.1984E+00 0.3486 0.6797 0.5902 4.8885E-02 1 0.00 0.00 8.0542E-02 1.3605E+00 1.4410E+00 3.4144E-02 1.1740E+00 0.4239 0.8629 0.7910 2.9083E-02 3 4.54 5.00 4.9204E-02 7.0571E-01 7.5491E-01 1.8634E-02 5.3990E-01 0.3787 0.7650 0.6905 3.4514E-02 5 9.08 10.00 2.3140E-02 3.1551E-01 3.3865E-01 8.4609E-03 2.3088E-01 0.3656 0.7318 0.6568 3.6647E-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 0.07146 0.11248 0.11019 0.08953 0.14276 0.14436 0.13471 5.000 5.010 5.005 0.13462 0.15096 0.14989 0.14589 0.16476 0.16544 0.16217 10.000 10.010 10.005 0.16264 0.16839 0.16800 0.16673 0.17373 0.17400 0.17298 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 415.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.18579E-01 4.32798E-03 6.88404E-03 1.12120E-02 3.61133E-03 0.058054 9 1 10.0 0.0 180.0 7.31681E-02 4.40632E-03 2.36947E-03 6.77578E-03 3.67669E-03 0.032384 9 4 10.0 45.0 135.0 8.03920E-02 4.38561E-03 2.71518E-03 7.10079E-03 3.65941E-03 0.033774 9 7 10.0 90.0 90.0 1.08616E-01 4.37367E-03 5.16841E-03 9.54208E-03 3.64945E-03 0.047584 8 1 20.0 0.0 180.0 5.74725E-02 4.46774E-03 1.39027E-03 5.85801E-03 3.72794E-03 0.024190 8 4 20.0 45.0 135.0 6.39824E-02 4.41932E-03 1.61952E-03 6.03884E-03 3.68754E-03 0.025312 8 7 20.0 90.0 90.0 9.40831E-02 4.41149E-03 3.28278E-03 7.69427E-03 3.68100E-03 0.034892 7 1 30.0 0.0 180.0 4.98318E-02 4.55755E-03 1.19958E-03 5.75713E-03 3.80288E-03 0.024072 7 4 30.0 45.0 135.0 5.52379E-02 4.54577E-03 1.34587E-03 5.89163E-03 3.79304E-03 0.024365 7 7 30.0 90.0 90.0 8.06253E-02 4.51800E-03 2.23876E-03 6.75676E-03 3.76988E-03 0.027767 6 1 40.0 0.0 180.0 4.72998E-02 4.64289E-03 1.33378E-03 5.97667E-03 3.87409E-03 0.028198 6 4 40.0 45.0 135.0 5.17198E-02 4.62516E-03 1.44656E-03 6.07172E-03 3.85930E-03 0.027969 6 7 40.0 90.0 90.0 7.26138E-02 4.61256E-03 2.09017E-03 6.70273E-03 3.84878E-03 0.028785 5 1 50.0 0.0 180.0 4.95923E-02 4.75203E-03 2.10691E-03 6.85894E-03 3.96515E-03 0.042485 5 4 50.0 45.0 135.0 5.28472E-02 4.70986E-03 2.19501E-03 6.90487E-03 3.92997E-03 0.041535 5 7 50.0 90.0 90.0 7.02471E-02 4.71876E-03 2.83772E-03 7.55648E-03 3.93739E-03 0.040396 4 1 60.0 0.0 180.0 5.88668E-02 4.73282E-03 4.90811E-03 9.64093E-03 3.94912E-03 0.083377 4 4 60.0 45.0 135.0 6.01990E-02 4.68577E-03 4.84667E-03 9.53245E-03 3.90987E-03 0.080511 4 7 60.0 90.0 90.0 7.43379E-02 4.76796E-03 5.65981E-03 1.04278E-02 3.97844E-03 0.076136 3 1 70.0 0.0 180.0 8.16781E-02 4.43974E-03 1.35575E-02 1.79972E-02 3.70457E-03 0.165987 3 4 70.0 45.0 135.0 7.93792E-02 4.44447E-03 1.30448E-02 1.74893E-02 3.70852E-03 0.164336 3 7 70.0 90.0 90.0 8.87440E-02 4.54014E-03 1.41856E-02 1.87258E-02 3.78835E-03 0.159849 2 1 80.0 0.0 180.0 1.38772E-01 3.83841E-03 3.36999E-02 3.75383E-02 3.20282E-03 0.242843 2 4 80.0 45.0 135.0 1.28500E-01 3.83413E-03 3.25948E-02 3.64290E-02 3.19925E-03 0.253655 2 7 80.0 90.0 90.0 1.27666E-01 3.92996E-03 3.41356E-02 3.80656E-02 3.27921E-03 0.267382 1 1 87.5 0.0 180.0 2.24369E-01 3.11571E-03 5.94345E-02 6.25502E-02 2.59979E-03 0.264896 1 4 87.5 45.0 135.0 2.02017E-01 2.96301E-03 5.90676E-02 6.20306E-02 2.47237E-03 0.292389 1 7 87.5 90.0 90.0 1.83791E-01 3.36978E-03 6.04518E-02 6.38215E-02 2.81179E-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 1.121E-02 1.186E-01 1.435E-01 1.238E-01 1.854E-01 9.355E-03 5.225E+00 4.328E-03 3.611E-03 1 0.00 0.00 8.027E-03 2.207E-01 1.611E-02 1.858E-02 2.647E-02 6.837E-03 4.254E+00 3 4.54 5.00 3.783E-03 3.594E-01 1.079E-02 1.493E-02 2.697E-02 7.006E-03 4.926E+00 5 9.08 10.00 1.630E-03 1.734E-01 5.707E-03 7.939E-03 1.301E-02 7.061E-03 5.190E+00 Waveband 7 of 40 completed in 4.5 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 33.0 m at 425.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 420.0 nm to 430.0 nm: Ed(diffuse) = 4.082E-01 Ed(direct) = 7.412E-01 Ed(total) = 1.149E+00 Absorption Coefficients of Individual Components at 425.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0048 0.0863 0.0000 0.0218 0.1128 3 4.530 5.000 0.0048 0.0863 0.0000 0.0218 0.1128 5 9.060 10.000 0.0048 0.0863 0.0000 0.0218 0.1128 Scattering Coefficients of Individual Components at 425.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0058 0.2757 0.5116 0.0000 0.7932 3 4.530 5.000 0.0058 0.2757 0.5116 0.0000 0.7932 5 9.060 10.000 0.0058 0.2757 0.5116 0.0000 0.7932 Backscattering Coefficients of Individual Components at 425.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00291 0.00387 0.00090 0.00000 0.00768 3 4.530 5.000 0.00291 0.00387 0.00090 0.00000 0.00768 5 9.060 10.000 0.00291 0.00387 0.00090 0.00000 0.00768 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 0.1128 0.7932 0.9060 0.8755 0.00768 0.00968 3 4.530 5.000 0.1128 0.7932 0.9060 0.8755 0.00768 0.00968 5 9.060 10.000 0.1128 0.7932 0.9060 0.8755 0.00768 0.00968 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5026E-01 8 20.00 8.2778E-01 7 30.00 6.6296E-01 6 40.00 4.9231E-01 5 50.00 3.4308E-01 4 60.00 2.2787E-01 3 70.00 1.4697E-01 2 80.00 9.4401E-02 1 87.50 6.7380E-02 1 92.50 5.2550E-02 2 100.00 3.8455E-02 3 110.00 2.6905E-02 4 120.00 1.9814E-02 5 130.00 1.5519E-02 6 140.00 1.2915E-02 7 150.00 1.1344E-02 8 160.00 1.0424E-02 9 170.00 9.9407E-03 10 180.00 9.7737E-03 Asymptotic AOP values are MUu(inf) = 0.3548 MUd(inf) = 0.7095 MU(inf) = 0.6353 R(inf) = 0.0374 Lu(inf)/Ed(inf) = 0.006826 (1/sr) k(inf) = 0.1776 (1/m) absorp(check) = 0.1128 = 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 1.5753E-01 1.6797E+00 1.8373E+00 5.5428E-02 1.1494E+00 0.3519 0.6843 0.5954 4.8224E-02 1 0.00 0.00 7.6294E-02 1.3032E+00 1.3795E+00 3.2269E-02 1.1262E+00 0.4230 0.8642 0.7930 2.8653E-02 3 4.53 5.00 4.7574E-02 6.8595E-01 7.3352E-01 1.7948E-02 5.2509E-01 0.3773 0.7655 0.6914 3.4180E-02 5 9.06 10.00 2.2762E-02 3.1123E-01 3.3399E-01 8.2839E-03 2.2767E-01 0.3639 0.7315 0.6569 3.6386E-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 0.06716 0.10983 0.10747 0.08566 0.14016 0.14177 0.13159 5.000 5.010 5.005 0.13085 0.14794 0.14683 0.14236 0.16197 0.16267 0.15913 10.000 10.010 10.005 0.15947 0.16553 0.16512 0.16367 0.17100 0.17127 0.17014 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 425.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.10138E-01 4.05700E-03 6.57864E-03 1.06356E-02 3.52969E-03 0.059731 9 1 10.0 0.0 180.0 6.79596E-02 4.12579E-03 2.22558E-03 6.35137E-03 3.58954E-03 0.032749 9 4 10.0 45.0 135.0 7.46693E-02 4.10804E-03 2.55379E-03 6.66184E-03 3.57410E-03 0.034201 9 7 10.0 90.0 90.0 1.00884E-01 4.10105E-03 4.91474E-03 9.01578E-03 3.56801E-03 0.048717 8 1 20.0 0.0 180.0 5.33813E-02 4.18211E-03 1.29256E-03 5.47466E-03 3.63854E-03 0.024214 8 4 20.0 45.0 135.0 5.94278E-02 4.13945E-03 1.50748E-03 5.64693E-03 3.60143E-03 0.025367 8 7 20.0 90.0 90.0 8.73858E-02 4.13906E-03 3.09254E-03 7.23160E-03 3.60109E-03 0.035390 7 1 30.0 0.0 180.0 4.62845E-02 4.26595E-03 1.11418E-03 5.38013E-03 3.71148E-03 0.024072 7 4 30.0 45.0 135.0 5.13067E-02 4.25863E-03 1.25022E-03 5.50885E-03 3.70511E-03 0.024368 7 7 30.0 90.0 90.0 7.48801E-02 4.24241E-03 2.08794E-03 6.33034E-03 3.69100E-03 0.027884 6 1 40.0 0.0 180.0 4.39327E-02 4.34703E-03 1.23883E-03 5.58586E-03 3.78202E-03 0.028198 6 4 40.0 45.0 135.0 4.80381E-02 4.33544E-03 1.34358E-03 5.67903E-03 3.77194E-03 0.027969 6 7 40.0 90.0 90.0 6.74447E-02 4.33706E-03 1.94194E-03 6.27900E-03 3.77335E-03 0.028793 5 1 50.0 0.0 180.0 4.60620E-02 4.45122E-03 1.95693E-03 6.40815E-03 3.87267E-03 0.042485 5 4 50.0 45.0 135.0 4.90853E-02 4.41777E-03 2.03876E-03 6.45653E-03 3.84357E-03 0.041535 5 7 50.0 90.0 90.0 6.52465E-02 4.44267E-03 2.63572E-03 7.07839E-03 3.86523E-03 0.040396 4 1 60.0 0.0 180.0 5.46763E-02 4.43545E-03 4.55872E-03 8.99417E-03 3.85895E-03 0.083377 4 4 60.0 45.0 135.0 5.59137E-02 4.39827E-03 4.50166E-03 8.89993E-03 3.82660E-03 0.080511 4 7 60.0 90.0 90.0 6.90461E-02 4.49470E-03 5.25692E-03 9.75161E-03 3.91050E-03 0.076136 3 1 70.0 0.0 180.0 7.58638E-02 4.16328E-03 1.25924E-02 1.67557E-02 3.62215E-03 0.165987 3 4 70.0 45.0 135.0 7.37285E-02 4.17502E-03 1.21162E-02 1.62913E-02 3.63237E-03 0.164336 3 7 70.0 90.0 90.0 8.24268E-02 4.28555E-03 1.31758E-02 1.74614E-02 3.72853E-03 0.159849 2 1 80.0 0.0 180.0 1.28894E-01 3.60132E-03 3.13010E-02 3.49023E-02 3.13324E-03 0.242843 2 4 80.0 45.0 135.0 1.19353E-01 3.60418E-03 3.02746E-02 3.38787E-02 3.13572E-03 0.253655 2 7 80.0 90.0 90.0 1.18578E-01 3.71363E-03 3.17057E-02 3.54193E-02 3.23095E-03 0.267382 1 1 87.5 0.0 180.0 2.08398E-01 2.92467E-03 5.52036E-02 5.81283E-02 2.54453E-03 0.264896 1 4 87.5 45.0 135.0 1.87636E-01 2.78695E-03 5.48628E-02 5.76498E-02 2.42472E-03 0.292389 1 7 87.5 90.0 90.0 1.70708E-01 3.18723E-03 5.61485E-02 5.93357E-02 2.77297E-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 1.064E-02 1.101E-01 1.333E-01 1.150E-01 1.723E-01 9.253E-03 5.212E+00 4.057E-03 3.530E-03 1 0.00 0.00 7.524E-03 2.050E-01 1.514E-02 1.761E-02 2.534E-02 6.681E-03 4.289E+00 3 4.53 5.00 3.601E-03 3.491E-01 1.035E-02 1.447E-02 2.641E-02 6.859E-03 4.983E+00 5 9.06 10.00 1.575E-03 1.708E-01 5.584E-03 7.842E-03 1.297E-02 6.918E-03 5.259E+00 Waveband 8 of 40 completed in 4.5 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 33.0 m at 435.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 430.0 nm to 440.0 nm: Ed(diffuse) = 4.073E-01 Ed(direct) = 7.763E-01 Ed(total) = 1.184E+00 Absorption Coefficients of Individual Components at 435.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0053 0.0886 0.0000 0.0189 0.1128 3 4.527 5.000 0.0053 0.0886 0.0000 0.0189 0.1128 5 9.054 10.000 0.0053 0.0886 0.0000 0.0189 0.1128 Scattering Coefficients of Individual Components at 435.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0053 0.2757 0.5116 0.0000 0.7926 3 4.527 5.000 0.0053 0.2757 0.5116 0.0000 0.7926 5 9.054 10.000 0.0053 0.2757 0.5116 0.0000 0.7926 Backscattering Coefficients of Individual Components at 435.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00264 0.00387 0.00090 0.00000 0.00740 3 4.527 5.000 0.00264 0.00387 0.00090 0.00000 0.00740 5 9.054 10.000 0.00264 0.00387 0.00090 0.00000 0.00740 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 0.1128 0.7926 0.9054 0.8754 0.00740 0.00934 3 4.527 5.000 0.1128 0.7926 0.9054 0.8754 0.00740 0.00934 5 9.054 10.000 0.1128 0.7926 0.9054 0.8754 0.00740 0.00934 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5026E-01 8 20.00 8.2775E-01 7 30.00 6.6289E-01 6 40.00 4.9216E-01 5 50.00 3.4284E-01 4 60.00 2.2755E-01 3 70.00 1.4659E-01 2 80.00 9.3991E-02 1 87.50 6.6960E-02 1 92.50 5.2128E-02 2 100.00 3.8039E-02 3 110.00 2.6503E-02 4 120.00 1.9427E-02 5 130.00 1.5146E-02 6 140.00 1.2554E-02 7 150.00 1.0991E-02 8 160.00 1.0075E-02 9 170.00 9.5951E-03 10 180.00 9.4292E-03 Asymptotic AOP values are MUu(inf) = 0.3527 MUd(inf) = 0.7098 MU(inf) = 0.6368 R(inf) = 0.0366 Lu(inf)/Ed(inf) = 0.006588 (1/sr) k(inf) = 0.1771 (1/m) absorp(check) = 0.1128 = 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 1.5822E-01 1.7187E+00 1.8770E+00 5.6101E-02 1.1836E+00 0.3546 0.6887 0.6007 4.7397E-02 1 0.00 0.00 7.6389E-02 1.3395E+00 1.4159E+00 3.2215E-02 1.1597E+00 0.4217 0.8658 0.7963 2.7778E-02 3 4.53 5.00 4.8126E-02 7.0759E-01 7.5572E-01 1.8070E-02 5.4242E-01 0.3755 0.7666 0.6938 3.3314E-02 5 9.05 10.00 2.3164E-02 3.2215E-01 3.4531E-01 8.3851E-03 2.3587E-01 0.3620 0.7322 0.6588 3.5550E-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 0.06369 0.10891 0.10647 0.08339 0.13956 0.14116 0.13039 5.000 5.010 5.005 0.12933 0.14719 0.14606 0.14105 0.16136 0.16206 0.15822 10.000 10.010 10.005 0.15852 0.16490 0.16447 0.16279 0.17044 0.17073 0.16942 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 4.01778E-03 6.75154E-03 1.07693E-02 3.39445E-03 0.061424 9 1 10.0 0.0 180.0 6.78230E-02 4.08227E-03 2.24609E-03 6.32836E-03 3.44894E-03 0.033117 9 4 10.0 45.0 135.0 7.45191E-02 4.06599E-03 2.58081E-03 6.64680E-03 3.43518E-03 0.034633 9 7 10.0 90.0 90.0 1.00682E-01 4.06239E-03 5.02001E-03 9.08240E-03 3.43214E-03 0.049860 8 1 20.0 0.0 180.0 5.32740E-02 4.13711E-03 1.29122E-03 5.42833E-03 3.49527E-03 0.024237 8 4 20.0 45.0 135.0 5.93083E-02 4.09699E-03 1.50772E-03 5.60471E-03 3.46138E-03 0.025422 8 7 20.0 90.0 90.0 8.72100E-02 4.10214E-03 3.13012E-03 7.23226E-03 3.46573E-03 0.035892 7 1 30.0 0.0 180.0 4.61914E-02 4.21996E-03 1.11194E-03 5.33190E-03 3.56526E-03 0.024072 7 4 30.0 45.0 135.0 5.12045E-02 4.21560E-03 1.24786E-03 5.46346E-03 3.56158E-03 0.024370 7 7 30.0 90.0 90.0 7.47236E-02 4.20739E-03 2.09235E-03 6.29974E-03 3.55464E-03 0.028001 6 1 40.0 0.0 180.0 4.38444E-02 4.30124E-03 1.23634E-03 5.53759E-03 3.63394E-03 0.028198 6 4 40.0 45.0 135.0 4.79415E-02 4.29370E-03 1.34088E-03 5.63458E-03 3.62757E-03 0.027969 6 7 40.0 90.0 90.0 6.73091E-02 4.30622E-03 1.93860E-03 6.24481E-03 3.63814E-03 0.028801 5 1 50.0 0.0 180.0 4.59694E-02 4.40611E-03 1.95299E-03 6.35910E-03 3.72254E-03 0.042485 5 4 50.0 45.0 135.0 4.89866E-02 4.37780E-03 2.03466E-03 6.41246E-03 3.69862E-03 0.041535 5 7 50.0 90.0 90.0 6.51153E-02 4.41612E-03 2.63042E-03 7.04654E-03 3.73099E-03 0.040396 4 1 60.0 0.0 180.0 5.45664E-02 4.39249E-03 4.54956E-03 8.94205E-03 3.71103E-03 0.083377 4 4 60.0 45.0 135.0 5.58013E-02 4.36120E-03 4.49261E-03 8.85381E-03 3.68460E-03 0.080511 4 7 60.0 90.0 90.0 6.89073E-02 4.47295E-03 5.24635E-03 9.71930E-03 3.77901E-03 0.076136 3 1 70.0 0.0 180.0 7.57113E-02 4.12529E-03 1.25671E-02 1.66924E-02 3.48529E-03 0.165987 3 4 70.0 45.0 135.0 7.35803E-02 4.14287E-03 1.20919E-02 1.62347E-02 3.50014E-03 0.164336 3 7 70.0 90.0 90.0 8.22610E-02 4.27015E-03 1.31493E-02 1.74195E-02 3.60767E-03 0.159849 2 1 80.0 0.0 180.0 1.28635E-01 3.57034E-03 3.12380E-02 3.48084E-02 3.01643E-03 0.242843 2 4 80.0 45.0 135.0 1.19113E-01 3.57884E-03 3.02137E-02 3.37925E-02 3.02361E-03 0.253655 2 7 80.0 90.0 90.0 1.18340E-01 3.70428E-03 3.16419E-02 3.53462E-02 3.12959E-03 0.267382 1 1 87.5 0.0 180.0 2.07978E-01 2.90098E-03 5.50926E-02 5.79936E-02 2.45092E-03 0.264896 1 4 87.5 45.0 135.0 1.87259E-01 2.76908E-03 5.47525E-02 5.75216E-02 2.33948E-03 0.292389 1 7 87.5 90.0 90.0 1.70364E-01 3.18234E-03 5.60356E-02 5.92179E-02 2.68862E-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 1.077E-02 1.099E-01 1.330E-01 1.148E-01 1.720E-01 9.099E-03 5.209E+00 4.018E-03 3.394E-03 1 0.00 0.00 7.451E-03 2.046E-01 1.505E-02 1.765E-02 2.568E-02 6.425E-03 4.324E+00 3 4.53 5.00 3.585E-03 3.607E-01 1.041E-02 1.470E-02 2.715E-02 6.610E-03 5.040E+00 5 9.05 10.00 1.574E-03 1.773E-01 5.665E-03 8.032E-03 1.341E-02 6.675E-03 5.326E+00 Waveband 9 of 40 completed in 4.5 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 33.0 m at 445.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 440.0 nm to 450.0 nm: Ed(diffuse) = 4.682E-01 Ed(direct) = 9.292E-01 Ed(total) = 1.397E+00 Absorption Coefficients of Individual Components at 445.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0075 0.0839 0.0000 0.0165 0.1078 3 4.500 5.000 0.0075 0.0839 0.0000 0.0165 0.1078 5 9.000 10.000 0.0075 0.0839 0.0000 0.0165 0.1078 Scattering Coefficients of Individual Components at 445.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0048 0.2757 0.5116 0.0000 0.7921 3 4.500 5.000 0.0048 0.2757 0.5116 0.0000 0.7921 5 9.000 10.000 0.0048 0.2757 0.5116 0.0000 0.7921 Backscattering Coefficients of Individual Components at 445.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00239 0.00387 0.00090 0.00000 0.00716 3 4.500 5.000 0.00239 0.00387 0.00090 0.00000 0.00716 5 9.000 10.000 0.00239 0.00387 0.00090 0.00000 0.00716 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 0.1078 0.7921 0.9000 0.8802 0.00716 0.00903 3 4.500 5.000 0.1078 0.7921 0.9000 0.8802 0.00716 0.00903 5 9.000 10.000 0.1078 0.7921 0.9000 0.8802 0.00716 0.00903 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5141E-01 8 20.00 8.3145E-01 7 30.00 6.6926E-01 6 40.00 5.0018E-01 5 50.00 3.5109E-01 4 60.00 2.3490E-01 3 70.00 1.5249E-01 2 80.00 9.8429E-02 1 87.50 7.0389E-02 1 92.50 5.4895E-02 2 100.00 4.0111E-02 3 110.00 2.7942E-02 4 120.00 2.0432E-02 5 130.00 1.5867E-02 6 140.00 1.3091E-02 7 150.00 1.1413E-02 8 160.00 1.0428E-02 9 170.00 9.9102E-03 10 180.00 9.7314E-03 Asymptotic AOP values are MUu(inf) = 0.3515 MUd(inf) = 0.7064 MU(inf) = 0.6316 R(inf) = 0.0379 Lu(inf)/Ed(inf) = 0.006707 (1/sr) k(inf) = 0.1707 (1/m) absorp(check) = 0.1078 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 445.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.8432E-01 2.0183E+00 2.2027E+00 6.6013E-02 1.3974E+00 0.3581 0.6924 0.6044 4.7240E-02 1 0.00 0.00 9.2055E-02 1.5823E+00 1.6743E+00 3.8786E-02 1.3702E+00 0.4213 0.8659 0.7952 2.8308E-02 3 4.50 5.00 6.0222E-02 8.6410E-01 9.2432E-01 2.2572E-02 6.6156E-01 0.3748 0.7656 0.6913 3.4120E-02 5 9.00 10.00 3.0074E-02 4.0710E-01 4.3717E-01 1.0856E-02 2.9723E-01 0.3610 0.7301 0.6551 3.6524E-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 0.05827 0.10341 0.10093 0.07681 0.13357 0.13522 0.12387 5.000 5.010 5.005 0.12166 0.14028 0.13907 0.13366 0.15483 0.15558 0.15140 10.000 10.010 10.005 0.15143 0.15815 0.15769 0.15583 0.16392 0.16423 0.16275 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 445.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.26342E-01 4.79566E-03 7.94837E-03 1.27440E-02 3.43183E-03 0.062911 9 1 10.0 0.0 180.0 7.79584E-02 4.86545E-03 2.60697E-03 7.47242E-03 3.48177E-03 0.033441 9 4 10.0 45.0 135.0 8.56552E-02 4.84865E-03 2.99894E-03 7.84758E-03 3.46975E-03 0.035012 9 7 10.0 90.0 90.0 1.15727E-01 4.85094E-03 5.88645E-03 1.07374E-02 3.47139E-03 0.050865 8 1 20.0 0.0 180.0 6.12352E-02 4.92911E-03 1.48545E-03 6.41456E-03 3.52733E-03 0.024258 8 4 20.0 45.0 135.0 6.81713E-02 4.88556E-03 1.73634E-03 6.62190E-03 3.49616E-03 0.025470 8 7 20.0 90.0 90.0 1.00243E-01 4.90260E-03 3.64209E-03 8.54469E-03 3.50836E-03 0.036333 7 1 30.0 0.0 180.0 5.30942E-02 5.02765E-03 1.27811E-03 6.30575E-03 3.59784E-03 0.024072 7 4 30.0 45.0 135.0 5.88574E-02 5.02838E-03 1.43450E-03 6.46288E-03 3.59837E-03 0.024372 7 7 30.0 90.0 90.0 8.58844E-02 5.03387E-03 2.41373E-03 7.44760E-03 3.60230E-03 0.028104 6 1 40.0 0.0 180.0 5.03965E-02 5.12667E-03 1.42110E-03 6.54777E-03 3.66871E-03 0.028198 6 4 40.0 45.0 135.0 5.51058E-02 5.12560E-03 1.54126E-03 6.66686E-03 3.66794E-03 0.027969 6 7 40.0 90.0 90.0 7.73677E-02 5.16134E-03 2.22887E-03 7.39021E-03 3.69351E-03 0.028809 5 1 50.0 0.0 180.0 5.28390E-02 5.25481E-03 2.24484E-03 7.49965E-03 3.76040E-03 0.042485 5 4 50.0 45.0 135.0 5.63071E-02 5.23053E-03 2.33872E-03 7.56925E-03 3.74303E-03 0.041535 5 7 50.0 90.0 90.0 7.48461E-02 5.30158E-03 3.02351E-03 8.32509E-03 3.79387E-03 0.040396 4 1 60.0 0.0 180.0 6.27208E-02 5.24188E-03 5.22944E-03 1.04713E-02 3.75115E-03 0.083377 4 4 60.0 45.0 135.0 6.41402E-02 5.21526E-03 5.16398E-03 1.03792E-02 3.73210E-03 0.080511 4 7 60.0 90.0 90.0 7.92047E-02 5.37796E-03 6.03036E-03 1.14083E-02 3.84853E-03 0.076136 3 1 70.0 0.0 180.0 8.70255E-02 4.92632E-03 1.44451E-02 1.93714E-02 3.52533E-03 0.165987 3 4 70.0 45.0 135.0 8.45761E-02 4.95849E-03 1.38989E-02 1.88574E-02 3.54835E-03 0.164336 3 7 70.0 90.0 90.0 9.45540E-02 5.14138E-03 1.51144E-02 2.02558E-02 3.67923E-03 0.159849 2 1 80.0 0.0 180.0 1.47858E-01 4.26594E-03 3.59062E-02 4.01722E-02 3.05275E-03 0.242843 2 4 80.0 45.0 135.0 1.36913E-01 4.28646E-03 3.47288E-02 3.90152E-02 3.06744E-03 0.253655 2 7 80.0 90.0 90.0 1.36024E-01 4.46489E-03 3.63705E-02 4.08354E-02 3.19513E-03 0.267382 1 1 87.5 0.0 180.0 2.39059E-01 3.46757E-03 6.33256E-02 6.67932E-02 2.48143E-03 0.264896 1 4 87.5 45.0 135.0 2.15243E-01 3.31826E-03 6.29347E-02 6.62529E-02 2.37459E-03 0.292389 1 7 87.5 90.0 90.0 1.95824E-01 3.83869E-03 6.44095E-02 6.82482E-02 2.74701E-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 1.274E-02 1.263E-01 1.529E-01 1.320E-01 1.978E-01 9.120E-03 5.180E+00 4.796E-03 3.432E-03 1 0.00 0.00 8.893E-03 2.352E-01 1.796E-02 2.124E-02 3.113E-02 6.490E-03 4.362E+00 3 4.50 5.00 4.426E-03 4.382E-01 1.287E-02 1.833E-02 3.409E-02 6.690E-03 5.100E+00 5 9.00 10.00 2.010E-03 2.220E-01 7.282E-03 1.041E-02 1.751E-02 6.763E-03 5.401E+00 Waveband 10 of 40 completed in 4.5 sec. * * * * * Output for wavelength band 11 (450.0 to 460.0 nm; nominal wavelength = 455.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 33.0 m at 455.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 450.0 nm to 460.0 nm: Ed(diffuse) = 4.888E-01 Ed(direct) = 1.007E+00 Ed(total) = 1.495E+00 Absorption Coefficients of Individual Components at 455.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0096 0.0763 0.0000 0.0143 0.1002 3 4.460 5.000 0.0096 0.0763 0.0000 0.0143 0.1002 5 8.919 10.000 0.0096 0.0763 0.0000 0.0143 0.1002 Scattering Coefficients of Individual Components at 455.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0043 0.2757 0.5116 0.0000 0.7917 3 4.460 5.000 0.0043 0.2757 0.5116 0.0000 0.7917 5 8.919 10.000 0.0043 0.2757 0.5116 0.0000 0.7917 Backscattering Coefficients of Individual Components at 455.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00217 0.00387 0.00090 0.00000 0.00694 3 4.460 5.000 0.00217 0.00387 0.00090 0.00000 0.00694 5 8.919 10.000 0.00217 0.00387 0.00090 0.00000 0.00694 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 0.1002 0.7917 0.8919 0.8877 0.00694 0.00876 3 4.460 5.000 0.1002 0.7917 0.8919 0.8877 0.00694 0.00876 5 8.919 10.000 0.1002 0.7917 0.8919 0.8877 0.00694 0.00876 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5323E-01 8 20.00 8.3734E-01 7 30.00 6.7950E-01 6 40.00 5.1326E-01 5 50.00 3.6475E-01 4 60.00 2.4730E-01 3 70.00 1.6267E-01 2 80.00 1.0626E-01 1 87.50 7.6563E-02 1 92.50 5.9963E-02 2 100.00 4.4003E-02 3 110.00 3.0740E-02 4 120.00 2.2469E-02 5 130.00 1.7397E-02 6 140.00 1.4291E-02 7 150.00 1.2403E-02 8 160.00 1.1290E-02 9 170.00 1.0703E-02 10 180.00 1.0501E-02 Asymptotic AOP values are MUu(inf) = 0.3512 MUd(inf) = 0.7009 MU(inf) = 0.6222 R(inf) = 0.0405 Lu(inf)/Ed(inf) = 0.007078 (1/sr) k(inf) = 0.1611 (1/m) absorp(check) = 0.1002 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 455.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.9641E-01 2.1495E+00 2.3459E+00 7.1222E-02 1.4954E+00 0.3626 0.6957 0.6071 4.7626E-02 1 0.00 0.00 1.0444E-01 1.6974E+00 1.8019E+00 4.4060E-02 1.4683E+00 0.4219 0.8650 0.7904 3.0008E-02 3 4.46 5.00 7.1849E-02 9.7410E-01 1.0459E+00 2.6974E-02 7.4347E-01 0.3754 0.7632 0.6850 3.6281E-02 5 8.92 10.00 3.7843E-02 4.8311E-01 5.2095E-01 1.3665E-02 3.5086E-01 0.3611 0.7263 0.6473 3.8948E-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 0.05280 0.09560 0.09312 0.06856 0.12464 0.12638 0.11468 5.000 5.010 5.005 0.11084 0.12995 0.12864 0.12313 0.14505 0.14587 0.14147 10.000 10.010 10.005 0.14100 0.14799 0.14748 0.14559 0.15409 0.15443 0.15288 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 5.40980E-03 8.48427E-03 1.38941E-02 3.61753E-03 0.064320 9 1 10.0 0.0 180.0 8.13927E-02 5.47798E-03 2.74675E-03 8.22473E-03 3.66312E-03 0.033747 9 4 10.0 45.0 135.0 8.94286E-02 5.46286E-03 3.16313E-03 8.62599E-03 3.65301E-03 0.035370 9 7 10.0 90.0 90.0 1.20826E-01 5.47489E-03 6.26069E-03 1.17356E-02 3.66106E-03 0.051816 8 1 20.0 0.0 180.0 6.39329E-02 5.54672E-03 1.55216E-03 7.09888E-03 3.70909E-03 0.024278 8 4 20.0 45.0 135.0 7.11745E-02 5.50395E-03 1.81610E-03 7.32005E-03 3.68049E-03 0.025516 8 7 20.0 90.0 90.0 1.04659E-01 5.53867E-03 3.84625E-03 9.38492E-03 3.70371E-03 0.036750 7 1 30.0 0.0 180.0 5.54332E-02 5.65677E-03 1.33441E-03 6.99118E-03 3.78268E-03 0.024072 7 4 30.0 45.0 135.0 6.14512E-02 5.66626E-03 1.49785E-03 7.16412E-03 3.78903E-03 0.024375 7 7 30.0 90.0 90.0 8.96620E-02 5.69405E-03 2.52866E-03 8.22271E-03 3.80761E-03 0.028202 6 1 40.0 0.0 180.0 5.26166E-02 5.77030E-03 1.48370E-03 7.25401E-03 3.85860E-03 0.028198 6 4 40.0 45.0 135.0 5.75335E-02 5.78054E-03 1.60916E-03 7.38970E-03 3.86544E-03 0.027969 6 7 40.0 90.0 90.0 8.07761E-02 5.84975E-03 2.32762E-03 8.17736E-03 3.91172E-03 0.028816 5 1 50.0 0.0 180.0 5.51668E-02 5.91780E-03 2.34374E-03 8.26154E-03 3.95723E-03 0.042485 5 4 50.0 45.0 135.0 5.87877E-02 5.90399E-03 2.44175E-03 8.34573E-03 3.94799E-03 0.041535 5 7 50.0 90.0 90.0 7.81434E-02 6.01856E-03 3.15670E-03 9.17527E-03 4.02461E-03 0.040396 4 1 60.0 0.0 180.0 6.54838E-02 5.90662E-03 5.45982E-03 1.13664E-02 3.94975E-03 0.083377 4 4 60.0 45.0 135.0 6.69658E-02 5.89170E-03 5.39147E-03 1.12832E-02 3.93978E-03 0.080511 4 7 60.0 90.0 90.0 8.26940E-02 6.11428E-03 6.29602E-03 1.24103E-02 4.08861E-03 0.076136 3 1 70.0 0.0 180.0 9.08593E-02 5.55399E-03 1.50815E-02 2.06355E-02 3.71395E-03 0.165987 3 4 70.0 45.0 135.0 8.83020E-02 5.60568E-03 1.45112E-02 2.01169E-02 3.74851E-03 0.164336 3 7 70.0 90.0 90.0 9.87195E-02 5.85211E-03 1.57802E-02 2.16323E-02 3.91330E-03 0.159849 2 1 80.0 0.0 180.0 1.54371E-01 4.81124E-03 3.74880E-02 4.22993E-02 3.21727E-03 0.242843 2 4 80.0 45.0 135.0 1.42945E-01 4.84842E-03 3.62587E-02 4.11071E-02 3.24213E-03 0.253655 2 7 80.0 90.0 90.0 1.42017E-01 5.08601E-03 3.79727E-02 4.30587E-02 3.40101E-03 0.267382 1 1 87.5 0.0 180.0 2.49590E-01 3.91136E-03 6.61154E-02 7.00267E-02 2.61553E-03 0.264896 1 4 87.5 45.0 135.0 2.24725E-01 3.75407E-03 6.57072E-02 6.94612E-02 2.51034E-03 0.292389 1 7 87.5 90.0 90.0 2.04450E-01 4.37396E-03 6.72470E-02 7.16209E-02 2.92486E-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 1.389E-02 1.319E-01 1.598E-01 1.380E-01 2.068E-01 9.291E-03 5.126E+00 5.410E-03 3.618E-03 1 0.00 0.00 1.003E-02 2.456E-01 2.016E-02 2.401E-02 3.528E-02 6.832E-03 4.392E+00 3 4.46 5.00 5.241E-03 4.893E-01 1.509E-02 2.161E-02 4.032E-02 7.050E-03 5.146E+00 5 8.92 10.00 2.501E-03 2.591E-01 9.026E-03 1.298E-02 2.193E-02 7.129E-03 5.463E+00 Waveband 11 of 40 completed in 4.6 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 33.0 m at 465.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 460.0 nm to 470.0 nm: Ed(diffuse) = 4.757E-01 Ed(direct) = 1.013E+00 Ed(total) = 1.489E+00 Absorption Coefficients of Individual Components at 465.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0101 0.0716 0.0000 0.0124 0.0941 3 4.427 5.000 0.0101 0.0716 0.0000 0.0124 0.0941 5 8.855 10.000 0.0101 0.0716 0.0000 0.0124 0.0941 Scattering Coefficients of Individual Components at 465.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0040 0.2757 0.5116 0.0000 0.7913 3 4.427 5.000 0.0040 0.2757 0.5116 0.0000 0.7913 5 8.855 10.000 0.0040 0.2757 0.5116 0.0000 0.7913 Backscattering Coefficients of Individual Components at 465.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00198 0.00387 0.00090 0.00000 0.00674 3 4.427 5.000 0.00198 0.00387 0.00090 0.00000 0.00674 5 8.855 10.000 0.00198 0.00387 0.00090 0.00000 0.00674 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 0.0941 0.7913 0.8855 0.8937 0.00674 0.00852 3 4.427 5.000 0.0941 0.7913 0.8855 0.8937 0.00674 0.00852 5 8.855 10.000 0.0941 0.7913 0.8855 0.8937 0.00674 0.00852 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5472E-01 8 20.00 8.4219E-01 7 30.00 6.8801E-01 6 40.00 5.2422E-01 5 50.00 3.7635E-01 4 60.00 2.5798E-01 3 70.00 1.7157E-01 2 80.00 1.1319E-01 1 87.50 8.2079E-02 1 92.50 6.4520E-02 2 100.00 4.7526E-02 3 110.00 3.3288E-02 4 120.00 2.4329E-02 5 130.00 1.8793E-02 6 140.00 1.5382E-02 7 150.00 1.3298E-02 8 160.00 1.2066E-02 9 170.00 1.1415E-02 10 180.00 1.1190E-02 Asymptotic AOP values are MUu(inf) = 0.3510 MUd(inf) = 0.6962 MU(inf) = 0.6141 R(inf) = 0.0429 Lu(inf)/Ed(inf) = 0.007404 (1/sr) k(inf) = 0.1533 (1/m) absorp(check) = 0.0941 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 465.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.9489E-01 2.1311E+00 2.3260E+00 7.1486E-02 1.4892E+00 0.3668 0.6988 0.6095 4.8003E-02 1 0.00 0.00 1.0953E-01 1.6942E+00 1.8037E+00 4.6267E-02 1.4640E+00 0.4224 0.8641 0.7860 3.1604E-02 3 4.43 5.00 7.8376E-02 1.0118E+00 1.0901E+00 2.9480E-02 7.7019E-01 0.3761 0.7612 0.6795 3.8277E-02 5 8.85 10.00 4.3080E-02 5.2303E-01 5.6611E-01 1.5570E-02 3.7816E-01 0.3614 0.7230 0.6405 4.1175E-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 0.04862 0.08948 0.08700 0.06221 0.11748 0.11928 0.10743 5.000 5.010 5.005 0.10219 0.12161 0.12021 0.11474 0.13717 0.13806 0.13357 10.000 10.010 10.005 0.13260 0.13977 0.13922 0.13736 0.14616 0.14654 0.14498 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 5.65027E-03 8.42910E-03 1.40794E-02 3.79419E-03 0.065666 9 1 10.0 0.0 180.0 7.92052E-02 5.71134E-03 2.69613E-03 8.40748E-03 3.83520E-03 0.034040 9 4 10.0 45.0 135.0 8.70251E-02 5.69918E-03 3.10798E-03 8.80716E-03 3.82703E-03 0.035714 9 7 10.0 90.0 90.0 1.17578E-01 5.72070E-03 6.19937E-03 1.19201E-02 3.84148E-03 0.052726 8 1 20.0 0.0 180.0 6.22146E-02 5.77995E-03 1.51161E-03 7.29156E-03 3.88127E-03 0.024297 8 4 20.0 45.0 135.0 6.92616E-02 5.74132E-03 1.77032E-03 7.51164E-03 3.85533E-03 0.025560 8 7 20.0 90.0 90.0 1.01846E-01 5.79222E-03 3.78355E-03 9.57577E-03 3.88951E-03 0.037150 7 1 30.0 0.0 180.0 5.39434E-02 5.89346E-03 1.29855E-03 7.19201E-03 3.95749E-03 0.024072 7 4 30.0 45.0 135.0 5.98005E-02 5.91161E-03 1.45774E-03 7.36935E-03 3.96968E-03 0.024377 7 7 30.0 90.0 90.0 8.72468E-02 5.96098E-03 2.46870E-03 8.42967E-03 4.00283E-03 0.028296 6 1 40.0 0.0 180.0 5.12025E-02 6.01316E-03 1.44382E-03 7.45698E-03 4.03787E-03 0.028198 6 4 40.0 45.0 135.0 5.59872E-02 6.03468E-03 1.56591E-03 7.60059E-03 4.05232E-03 0.027969 6 7 40.0 90.0 90.0 7.86051E-02 6.13405E-03 2.26558E-03 8.39962E-03 4.11905E-03 0.028822 5 1 50.0 0.0 180.0 5.36841E-02 6.16935E-03 2.28075E-03 8.45010E-03 4.14276E-03 0.042485 5 4 50.0 45.0 135.0 5.72076E-02 6.16773E-03 2.37612E-03 8.54385E-03 4.14166E-03 0.041535 5 7 50.0 90.0 90.0 7.60432E-02 6.31948E-03 3.07186E-03 9.39135E-03 4.24357E-03 0.040396 4 1 60.0 0.0 180.0 6.37239E-02 6.16027E-03 5.31308E-03 1.14733E-02 4.13666E-03 0.083377 4 4 60.0 45.0 135.0 6.51660E-02 6.15890E-03 5.24657E-03 1.14055E-02 4.13574E-03 0.080511 4 7 60.0 90.0 90.0 8.04715E-02 6.42752E-03 6.12680E-03 1.25543E-02 4.31612E-03 0.076136 3 1 70.0 0.0 180.0 8.84173E-02 5.79465E-03 1.46761E-02 2.04708E-02 3.89114E-03 0.165987 3 4 70.0 45.0 135.0 8.59287E-02 5.86302E-03 1.41212E-02 1.99842E-02 3.93705E-03 0.164336 3 7 70.0 90.0 90.0 9.60663E-02 6.15728E-03 1.53561E-02 2.15134E-02 4.13464E-03 0.159849 2 1 80.0 0.0 180.0 1.50222E-01 5.02090E-03 3.64805E-02 4.15014E-02 3.37156E-03 0.242843 2 4 80.0 45.0 135.0 1.39103E-01 5.07278E-03 3.52842E-02 4.03570E-02 3.40640E-03 0.253655 2 7 80.0 90.0 90.0 1.38200E-01 5.35411E-03 3.69522E-02 4.23063E-02 3.59532E-03 0.267382 1 1 87.5 0.0 180.0 2.42882E-01 4.08197E-03 6.43384E-02 6.84204E-02 2.74107E-03 0.264896 1 4 87.5 45.0 135.0 2.18685E-01 3.92816E-03 6.39412E-02 6.78694E-02 2.63778E-03 0.292389 1 7 87.5 90.0 90.0 1.98955E-01 4.60509E-03 6.54396E-02 7.00447E-02 3.09234E-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 1.408E-02 1.284E-01 1.557E-01 1.345E-01 2.014E-01 9.454E-03 5.077E+00 5.650E-03 3.794E-03 1 0.00 0.00 1.048E-02 2.390E-01 2.094E-02 2.510E-02 3.695E-02 7.156E-03 4.416E+00 3 4.43 5.00 5.690E-03 5.041E-01 1.621E-02 2.331E-02 4.359E-02 7.387E-03 5.181E+00 5 8.85 10.00 2.825E-03 2.767E-01 1.014E-02 1.465E-02 2.483E-02 7.470E-03 5.512E+00 Waveband 12 of 40 completed in 4.6 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 33.0 m at 475.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 470.0 nm to 480.0 nm: Ed(diffuse) = 4.727E-01 Ed(direct) = 1.039E+00 Ed(total) = 1.512E+00 Absorption Coefficients of Individual Components at 475.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0114 0.0655 0.0000 0.0108 0.0877 3 4.394 5.000 0.0114 0.0655 0.0000 0.0108 0.0877 5 8.787 10.000 0.0114 0.0655 0.0000 0.0108 0.0877 Scattering Coefficients of Individual Components at 475.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0036 0.2757 0.5116 0.0000 0.7910 3 4.394 5.000 0.0036 0.2757 0.5116 0.0000 0.7910 5 8.787 10.000 0.0036 0.2757 0.5116 0.0000 0.7910 Backscattering Coefficients of Individual Components at 475.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00180 0.00387 0.00090 0.00000 0.00657 3 4.394 5.000 0.00180 0.00387 0.00090 0.00000 0.00657 5 8.787 10.000 0.00180 0.00387 0.00090 0.00000 0.00657 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 0.0877 0.7910 0.8787 0.9002 0.00657 0.00830 3 4.394 5.000 0.0877 0.7910 0.8787 0.9002 0.00657 0.00830 5 8.787 10.000 0.0877 0.7910 0.8787 0.9002 0.00657 0.00830 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5635E-01 8 20.00 8.4749E-01 7 30.00 6.9738E-01 6 40.00 5.3644E-01 5 50.00 3.8946E-01 4 60.00 2.7022E-01 3 70.00 1.8192E-01 2 80.00 1.2139E-01 1 87.50 8.8689E-02 1 92.50 7.0031E-02 2 100.00 5.1839E-02 3 110.00 3.6454E-02 4 120.00 2.6673E-02 5 130.00 2.0574E-02 6 140.00 1.6790E-02 7 150.00 1.4465E-02 8 160.00 1.3083E-02 9 170.00 1.2351E-02 10 180.00 1.2098E-02 Asymptotic AOP values are MUu(inf) = 0.3512 MUd(inf) = 0.6910 MU(inf) = 0.6046 R(inf) = 0.0459 Lu(inf)/Ed(inf) = 0.007842 (1/sr) k(inf) = 0.1451 (1/m) absorp(check) = 0.0877 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 475.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.9789E-01 2.1546E+00 2.3525E+00 7.3429E-02 1.5117E+00 0.3711 0.7016 0.6114 4.8574E-02 1 0.00 0.00 1.1808E-01 1.7249E+00 1.8429E+00 4.9972E-02 1.4882E+00 0.4232 0.8628 0.7804 3.3579E-02 3 4.39 5.00 8.7962E-02 1.0738E+00 1.1617E+00 3.3181E-02 8.1490E-01 0.3772 0.7589 0.6729 4.0718E-02 5 8.79 10.00 5.0557E-02 5.7982E-01 6.3038E-01 1.8307E-02 4.1710E-01 0.3621 0.7194 0.6326 4.3890E-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 0.04500 0.08328 0.08083 0.05583 0.11001 0.11190 0.09989 5.000 5.010 5.005 0.09322 0.11286 0.11138 0.10598 0.12891 0.12988 0.12526 10.000 10.010 10.005 0.12379 0.13113 0.13054 0.12871 0.13782 0.13824 0.13664 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 6.07272E-03 8.53835E-03 1.46111E-02 4.01719E-03 0.066936 9 1 10.0 0.0 180.0 7.87103E-02 6.12694E-03 2.70103E-03 8.82797E-03 4.05306E-03 0.034316 9 4 10.0 45.0 135.0 8.64814E-02 6.11799E-03 3.11653E-03 9.23452E-03 4.04714E-03 0.036037 9 7 10.0 90.0 90.0 1.16844E-01 6.15121E-03 6.26082E-03 1.24120E-02 4.06912E-03 0.053583 8 1 20.0 0.0 180.0 6.18259E-02 6.19712E-03 1.50327E-03 7.70039E-03 4.09949E-03 0.024315 8 4 20.0 45.0 135.0 6.88288E-02 6.16243E-03 1.76211E-03 7.92454E-03 4.07654E-03 0.025601 8 7 20.0 90.0 90.0 1.01210E-01 6.23365E-03 3.79801E-03 1.00317E-02 4.12365E-03 0.037526 7 1 30.0 0.0 180.0 5.36063E-02 6.31756E-03 1.29043E-03 7.60800E-03 4.17916E-03 0.024072 7 4 30.0 45.0 135.0 5.94277E-02 6.34634E-03 1.44877E-03 7.79511E-03 4.19820E-03 0.024379 7 7 30.0 90.0 90.0 8.66965E-02 6.42231E-03 2.46077E-03 8.88308E-03 4.24845E-03 0.028384 6 1 40.0 0.0 180.0 5.08826E-02 6.44743E-03 1.43480E-03 7.88223E-03 4.26507E-03 0.028198 6 4 40.0 45.0 135.0 5.56374E-02 6.48275E-03 1.55613E-03 8.03888E-03 4.28843E-03 0.027969 6 7 40.0 90.0 90.0 7.81140E-02 6.61997E-03 2.25191E-03 8.87188E-03 4.37921E-03 0.028829 5 1 50.0 0.0 180.0 5.33487E-02 6.61750E-03 2.26650E-03 8.88400E-03 4.37757E-03 0.042485 5 4 50.0 45.0 135.0 5.68502E-02 6.63012E-03 2.36127E-03 8.99140E-03 4.38592E-03 0.041535 5 7 50.0 90.0 90.0 7.55680E-02 6.82915E-03 3.05267E-03 9.88183E-03 4.51758E-03 0.040396 4 1 60.0 0.0 180.0 6.33257E-02 6.61035E-03 5.27988E-03 1.18902E-02 4.37284E-03 0.083377 4 4 60.0 45.0 135.0 6.47589E-02 6.62480E-03 5.21379E-03 1.18386E-02 4.38240E-03 0.080511 4 7 60.0 90.0 90.0 7.99687E-02 6.95384E-03 6.08852E-03 1.30424E-02 4.60007E-03 0.076136 3 1 70.0 0.0 180.0 8.78649E-02 6.21990E-03 1.45844E-02 2.08043E-02 4.11455E-03 0.165987 3 4 70.0 45.0 135.0 8.53918E-02 6.30944E-03 1.40329E-02 2.03424E-02 4.17379E-03 0.164336 3 7 70.0 90.0 90.0 9.54660E-02 6.66662E-03 1.52602E-02 2.19268E-02 4.41006E-03 0.159849 2 1 80.0 0.0 180.0 1.49284E-01 5.39022E-03 3.62526E-02 4.16428E-02 3.56571E-03 0.242843 2 4 80.0 45.0 135.0 1.38234E-01 5.46048E-03 3.50637E-02 4.05242E-02 3.61219E-03 0.253655 2 7 80.0 90.0 90.0 1.37336E-01 5.79949E-03 3.67213E-02 4.25208E-02 3.83645E-03 0.267382 1 1 87.5 0.0 180.0 2.41364E-01 4.38195E-03 6.39364E-02 6.83184E-02 2.89872E-03 0.264896 1 4 87.5 45.0 135.0 2.17319E-01 4.22830E-03 6.35417E-02 6.77700E-02 2.79708E-03 0.292389 1 7 87.5 90.0 90.0 1.97712E-01 4.98804E-03 6.50307E-02 7.00188E-02 3.29966E-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 1.461E-02 1.276E-01 1.548E-01 1.339E-01 2.004E-01 9.665E-03 5.026E+00 6.073E-03 4.017E-03 1 0.00 0.00 1.126E-02 2.375E-01 2.235E-02 2.696E-02 3.972E-02 7.565E-03 4.439E+00 3 4.39 5.00 6.366E-03 5.303E-01 1.789E-02 2.583E-02 4.833E-02 7.812E-03 5.212E+00 5 8.79 10.00 3.295E-03 3.022E-01 1.172E-02 1.701E-02 2.890E-02 7.901E-03 5.555E+00 Waveband 13 of 40 completed in 4.6 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 33.0 m at 485.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 480.0 nm to 490.0 nm: Ed(diffuse) = 4.491E-01 Ed(direct) = 1.015E+00 Ed(total) = 1.464E+00 Absorption Coefficients of Individual Components at 485.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0136 0.0597 0.0000 0.0094 0.0827 3 4.367 5.000 0.0136 0.0597 0.0000 0.0094 0.0827 5 8.733 10.000 0.0136 0.0597 0.0000 0.0094 0.0827 Scattering Coefficients of Individual Components at 485.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0033 0.2757 0.5116 0.0000 0.7907 3 4.367 5.000 0.0033 0.2757 0.5116 0.0000 0.7907 5 8.733 10.000 0.0033 0.2757 0.5116 0.0000 0.7907 Backscattering Coefficients of Individual Components at 485.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00165 0.00387 0.00090 0.00000 0.00641 3 4.367 5.000 0.00165 0.00387 0.00090 0.00000 0.00641 5 8.733 10.000 0.00165 0.00387 0.00090 0.00000 0.00641 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 0.0827 0.7907 0.8733 0.9053 0.00641 0.00811 3 4.367 5.000 0.0827 0.7907 0.8733 0.9053 0.00641 0.00811 5 8.733 10.000 0.0827 0.7907 0.8733 0.9053 0.00641 0.00811 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5766E-01 8 20.00 8.5180E-01 7 30.00 7.0506E-01 6 40.00 5.4655E-01 5 50.00 4.0042E-01 4 60.00 2.8059E-01 3 70.00 1.9081E-01 2 80.00 1.2852E-01 1 87.50 9.4480E-02 1 92.50 7.4887E-02 2 100.00 5.5666E-02 3 110.00 3.9280E-02 4 120.00 2.8772E-02 5 130.00 2.2172E-02 6 140.00 1.8051E-02 7 150.00 1.5505E-02 8 160.00 1.3988E-02 9 170.00 1.3181E-02 10 180.00 1.2903E-02 Asymptotic AOP values are MUu(inf) = 0.3515 MUd(inf) = 0.6866 MU(inf) = 0.5967 R(inf) = 0.0485 Lu(inf)/Ed(inf) = 0.008224 (1/sr) k(inf) = 0.1385 (1/m) absorp(check) = 0.0827 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 485.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.9167E-01 2.0794E+00 2.2710E+00 7.1841E-02 1.4641E+00 0.3748 0.7041 0.6130 4.9069E-02 1 0.00 0.00 1.2019E-01 1.6748E+00 1.7950E+00 5.0942E-02 1.4432E+00 0.4238 0.8617 0.7756 3.5298E-02 3 4.37 5.00 9.2413E-02 1.0775E+00 1.1700E+00 3.4947E-02 8.1574E-01 0.3782 0.7570 0.6674 4.2841E-02 5 8.73 10.00 5.5042E-02 6.0246E-01 6.5750E-01 1.9965E-02 4.3159E-01 0.3627 0.7164 0.6260 4.6259E-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 0.04210 0.07848 0.07604 0.05082 0.10410 0.10605 0.09391 5.000 5.010 5.005 0.08607 0.10589 0.10433 0.09900 0.12234 0.12338 0.11865 10.000 10.010 10.005 0.11674 0.12422 0.12360 0.12180 0.13118 0.13163 0.12998 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 6.16439E-03 8.25403E-03 1.44184E-02 4.21037E-03 0.068111 9 1 10.0 0.0 180.0 7.47760E-02 6.20906E-03 2.58514E-03 8.79421E-03 4.24088E-03 0.034572 9 4 10.0 45.0 135.0 8.21586E-02 6.20369E-03 2.98536E-03 9.18905E-03 4.23721E-03 0.036337 9 7 10.0 90.0 90.0 1.11003E-01 6.24655E-03 6.03602E-03 1.22826E-02 4.26648E-03 0.054377 8 1 20.0 0.0 180.0 5.87355E-02 6.27701E-03 1.42909E-03 7.70610E-03 4.28729E-03 0.024331 8 4 20.0 45.0 135.0 6.53884E-02 6.24795E-03 1.67654E-03 7.92448E-03 4.26744E-03 0.025640 8 7 20.0 90.0 90.0 9.61506E-02 6.33515E-03 3.64169E-03 9.97684E-03 4.32700E-03 0.037875 7 1 30.0 0.0 180.0 5.09268E-02 6.39773E-03 1.22593E-03 7.62366E-03 4.36974E-03 0.024072 7 4 30.0 45.0 135.0 5.64580E-02 6.43530E-03 1.37647E-03 7.81178E-03 4.39541E-03 0.024380 7 7 30.0 90.0 90.0 8.23585E-02 6.53310E-03 2.34436E-03 8.87745E-03 4.46220E-03 0.028465 6 1 40.0 0.0 180.0 4.83392E-02 6.53041E-03 1.36308E-03 7.89350E-03 4.46037E-03 0.028198 6 4 40.0 45.0 135.0 5.28563E-02 6.57726E-03 1.47835E-03 8.05560E-03 4.49237E-03 0.027969 6 7 40.0 90.0 90.0 7.42095E-02 6.74398E-03 2.13978E-03 8.88376E-03 4.60624E-03 0.028834 5 1 50.0 0.0 180.0 5.06821E-02 6.70476E-03 2.15321E-03 8.85796E-03 4.57945E-03 0.042485 5 4 50.0 45.0 135.0 5.40086E-02 6.73052E-03 2.24325E-03 8.97377E-03 4.59705E-03 0.041535 5 7 50.0 90.0 90.0 7.17908E-02 6.96491E-03 2.90008E-03 9.86500E-03 4.75714E-03 0.040396 4 1 60.0 0.0 180.0 6.01604E-02 6.69958E-03 5.01597E-03 1.17156E-02 4.57592E-03 0.083377 4 4 60.0 45.0 135.0 6.15219E-02 6.72859E-03 4.95318E-03 1.16818E-02 4.59573E-03 0.080511 4 7 60.0 90.0 90.0 7.59715E-02 7.09889E-03 5.78419E-03 1.28831E-02 4.84865E-03 0.076136 3 1 70.0 0.0 180.0 8.34730E-02 6.30531E-03 1.38554E-02 2.01607E-02 4.30662E-03 0.165987 3 4 70.0 45.0 135.0 8.11235E-02 6.41064E-03 1.33315E-02 1.97421E-02 4.37856E-03 0.164336 3 7 70.0 90.0 90.0 9.06942E-02 6.80998E-03 1.44974E-02 2.13074E-02 4.65132E-03 0.159849 2 1 80.0 0.0 180.0 1.41822E-01 5.46483E-03 3.44405E-02 3.99053E-02 3.73256E-03 0.242843 2 4 80.0 45.0 135.0 1.31324E-01 5.54918E-03 3.33111E-02 3.88603E-02 3.79017E-03 0.253655 2 7 80.0 90.0 90.0 1.30472E-01 5.92622E-03 3.48858E-02 4.08120E-02 4.04770E-03 0.267382 1 1 87.5 0.0 180.0 2.29300E-01 4.44223E-03 6.07406E-02 6.51828E-02 3.03411E-03 0.264896 1 4 87.5 45.0 135.0 2.06456E-01 4.29681E-03 6.03656E-02 6.46624E-02 2.93479E-03 0.292389 1 7 87.5 90.0 90.0 1.87830E-01 5.09680E-03 6.17802E-02 6.68770E-02 3.48119E-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 1.442E-02 1.212E-01 1.472E-01 1.274E-01 1.907E-01 9.848E-03 4.983E+00 6.164E-03 4.210E-03 1 0.00 0.00 1.143E-02 2.256E-01 2.256E-02 2.736E-02 4.036E-02 7.918E-03 4.458E+00 3 4.37 5.00 6.672E-03 5.283E-01 1.852E-02 2.684E-02 5.027E-02 8.180E-03 5.238E+00 5 8.73 10.00 3.571E-03 3.101E-01 1.259E-02 1.835E-02 3.124E-02 8.274E-03 5.591E+00 Waveband 14 of 40 completed in 4.4 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 33.0 m at 495.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 490.0 nm to 500.0 nm: Ed(diffuse) = 4.478E-01 Ed(direct) = 1.039E+00 Ed(total) = 1.487E+00 Absorption Coefficients of Individual Components at 495.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0173 0.0537 0.0000 0.0082 0.0792 3 4.348 5.000 0.0173 0.0537 0.0000 0.0082 0.0792 5 8.695 10.000 0.0173 0.0537 0.0000 0.0082 0.0792 Scattering Coefficients of Individual Components at 495.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0030 0.2757 0.5116 0.0000 0.7904 3 4.348 5.000 0.0030 0.2757 0.5116 0.0000 0.7904 5 8.695 10.000 0.0030 0.2757 0.5116 0.0000 0.7904 Backscattering Coefficients of Individual Components at 495.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00151 0.00387 0.00090 0.00000 0.00627 3 4.348 5.000 0.00151 0.00387 0.00090 0.00000 0.00627 5 8.695 10.000 0.00151 0.00387 0.00090 0.00000 0.00627 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 0.0792 0.7904 0.8695 0.9090 0.00627 0.00794 3 4.348 5.000 0.0792 0.7904 0.8695 0.9090 0.00627 0.00794 5 8.695 10.000 0.0792 0.7904 0.8695 0.9090 0.00627 0.00794 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5860E-01 8 20.00 8.5487E-01 7 30.00 7.1056E-01 6 40.00 5.5384E-01 5 50.00 4.0840E-01 4 60.00 2.8820E-01 3 70.00 1.9738E-01 2 80.00 1.3383E-01 1 87.50 9.8814E-02 1 92.50 7.8531E-02 2 100.00 5.8543E-02 3 110.00 4.1406E-02 4 120.00 3.0346E-02 5 130.00 2.3361E-02 6 140.00 1.8980E-02 7 150.00 1.6264E-02 8 160.00 1.4641E-02 9 170.00 1.3777E-02 10 180.00 1.3478E-02 Asymptotic AOP values are MUu(inf) = 0.3516 MUd(inf) = 0.6835 MU(inf) = 0.5911 R(inf) = 0.0505 Lu(inf)/Ed(inf) = 0.008488 (1/sr) k(inf) = 0.1339 (1/m) absorp(check) = 0.0792 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 495.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.9408E-01 2.1044E+00 2.2985E+00 7.3346E-02 1.4866E+00 0.3779 0.7064 0.6149 4.9338E-02 1 0.00 0.00 1.2604E-01 1.7034E+00 1.8294E+00 5.3463E-02 1.4667E+00 0.4242 0.8611 0.7725 3.6451E-02 3 4.35 5.00 9.9203E-02 1.1217E+00 1.2209E+00 3.7568E-02 8.4781E-01 0.3787 0.7558 0.6636 4.4311E-02 5 8.70 10.00 6.0628E-02 6.4282E-01 7.0345E-01 2.2010E-02 4.5919E-01 0.3630 0.7143 0.6215 4.7932E-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 0.03983 0.07511 0.07268 0.04703 0.09994 0.10195 0.08952 5.000 5.010 5.005 0.08086 0.10095 0.09932 0.09392 0.11770 0.11880 0.11385 10.000 10.010 10.005 0.11168 0.11933 0.11867 0.11682 0.12648 0.12696 0.12519 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 6.44303E-03 8.36643E-03 1.48095E-02 4.33403E-03 0.069236 9 1 10.0 0.0 180.0 7.45626E-02 6.48058E-03 2.59601E-03 9.07659E-03 4.35928E-03 0.034817 9 4 10.0 45.0 135.0 8.19242E-02 6.47822E-03 3.00032E-03 9.47854E-03 4.35770E-03 0.036623 9 7 10.0 90.0 90.0 1.10686E-01 6.53107E-03 6.10292E-03 1.26340E-02 4.39325E-03 0.055137 8 1 20.0 0.0 180.0 5.85679E-02 6.54867E-03 1.42594E-03 7.97461E-03 4.40509E-03 0.024347 8 4 20.0 45.0 135.0 6.52019E-02 6.52369E-03 1.67414E-03 8.19783E-03 4.38828E-03 0.025676 8 7 20.0 90.0 90.0 9.58762E-02 6.62800E-03 3.66329E-03 1.02913E-02 4.45845E-03 0.038209 7 1 30.0 0.0 180.0 5.07815E-02 6.67346E-03 1.22243E-03 7.89589E-03 4.48903E-03 0.024072 7 4 30.0 45.0 135.0 5.62976E-02 6.72006E-03 1.37266E-03 8.09272E-03 4.52038E-03 0.024382 7 7 30.0 90.0 90.0 8.21193E-02 6.84057E-03 2.34396E-03 9.18453E-03 4.60144E-03 0.028543 6 1 40.0 0.0 180.0 4.82013E-02 6.81283E-03 1.35919E-03 8.17202E-03 4.58278E-03 0.028198 6 4 40.0 45.0 135.0 5.27055E-02 6.87143E-03 1.47413E-03 8.34556E-03 4.62220E-03 0.027969 6 7 40.0 90.0 90.0 7.39977E-02 7.07007E-03 2.13408E-03 9.20415E-03 4.75581E-03 0.028840 5 1 50.0 0.0 180.0 5.05375E-02 6.99650E-03 2.14706E-03 9.14356E-03 4.70633E-03 0.042485 5 4 50.0 45.0 135.0 5.38545E-02 7.03482E-03 2.23684E-03 9.27167E-03 4.73211E-03 0.041535 5 7 50.0 90.0 90.0 7.15860E-02 7.30876E-03 2.89181E-03 1.02006E-02 4.91638E-03 0.040396 4 1 60.0 0.0 180.0 5.99887E-02 6.99290E-03 5.00165E-03 1.19946E-02 4.70391E-03 0.083377 4 4 60.0 45.0 135.0 6.13464E-02 7.03589E-03 4.93904E-03 1.19749E-02 4.73282E-03 0.080511 4 7 60.0 90.0 90.0 7.57547E-02 7.45560E-03 5.76768E-03 1.32233E-02 5.01515E-03 0.076136 3 1 70.0 0.0 180.0 8.32348E-02 6.58269E-03 1.38159E-02 2.03986E-02 4.42797E-03 0.165987 3 4 70.0 45.0 135.0 8.08921E-02 6.70561E-03 1.32935E-02 1.99991E-02 4.51066E-03 0.164336 3 7 70.0 90.0 90.0 9.04354E-02 7.15640E-03 1.44560E-02 2.16124E-02 4.81389E-03 0.159849 2 1 80.0 0.0 180.0 1.41417E-01 5.70585E-03 3.43422E-02 4.00481E-02 3.83815E-03 0.242843 2 4 80.0 45.0 135.0 1.30950E-01 5.80567E-03 3.32161E-02 3.90217E-02 3.90529E-03 0.253655 2 7 80.0 90.0 90.0 1.30099E-01 6.22989E-03 3.47862E-02 4.10161E-02 4.19065E-03 0.267382 1 1 87.5 0.0 180.0 2.28646E-01 4.63798E-03 6.05673E-02 6.52053E-02 3.11983E-03 0.264896 1 4 87.5 45.0 135.0 2.05867E-01 4.49547E-03 6.01933E-02 6.46888E-02 3.02396E-03 0.292389 1 7 87.5 90.0 90.0 1.87294E-01 5.35826E-03 6.16039E-02 6.69622E-02 3.60433E-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 1.481E-02 1.208E-01 1.469E-01 1.271E-01 1.903E-01 9.962E-03 4.953E+00 6.443E-03 4.334E-03 1 0.00 0.00 1.194E-02 2.250E-01 2.348E-02 2.863E-02 4.233E-02 8.143E-03 4.476E+00 3 4.35 5.00 7.139E-03 5.473E-01 1.965E-02 2.859E-02 5.367E-02 8.420E-03 5.263E+00 5 8.70 10.00 3.913E-03 3.282E-01 1.373E-02 2.008E-02 3.429E-02 8.522E-03 5.625E+00 Waveband 15 of 40 completed in 4.4 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 33.0 m at 505.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 500.0 nm to 510.0 nm: Ed(diffuse) = 4.326E-01 Ed(direct) = 1.028E+00 Ed(total) = 1.460E+00 Absorption Coefficients of Individual Components at 505.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0256 0.0455 0.0000 0.0071 0.0782 3 4.342 5.000 0.0256 0.0455 0.0000 0.0071 0.0782 5 8.684 10.000 0.0256 0.0455 0.0000 0.0071 0.0782 Scattering Coefficients of Individual Components at 505.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0028 0.2757 0.5116 0.0000 0.7901 3 4.342 5.000 0.0028 0.2757 0.5116 0.0000 0.7901 5 8.684 10.000 0.0028 0.2757 0.5116 0.0000 0.7901 Backscattering Coefficients of Individual Components at 505.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00138 0.00387 0.00090 0.00000 0.00615 3 4.342 5.000 0.00138 0.00387 0.00090 0.00000 0.00615 5 8.684 10.000 0.00138 0.00387 0.00090 0.00000 0.00615 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 0.0782 0.7901 0.8684 0.9099 0.00615 0.00778 3 4.342 5.000 0.0782 0.7901 0.8684 0.9099 0.00615 0.00778 5 8.684 10.000 0.0782 0.7901 0.8684 0.9099 0.00615 0.00778 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5884E-01 8 20.00 8.5567E-01 7 30.00 7.1199E-01 6 40.00 5.5572E-01 5 50.00 4.1043E-01 4 60.00 2.9011E-01 3 70.00 1.9900E-01 2 80.00 1.3509E-01 1 87.50 9.9809E-02 1 92.50 7.9335E-02 2 100.00 5.9139E-02 3 110.00 4.1800E-02 4 120.00 3.0594E-02 5 130.00 2.3507E-02 6 140.00 1.9059E-02 7 150.00 1.6299E-02 8 160.00 1.4649E-02 9 170.00 1.3770E-02 10 180.00 1.3467E-02 Asymptotic AOP values are MUu(inf) = 0.3510 MUd(inf) = 0.6828 MU(inf) = 0.5901 R(inf) = 0.0506 Lu(inf)/Ed(inf) = 0.008455 (1/sr) k(inf) = 0.1326 (1/m) absorp(check) = 0.0782 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 505.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.8885E-01 2.0611E+00 2.2500E+00 7.1725E-02 1.4605E+00 0.3798 0.7086 0.6172 4.9111E-02 1 0.00 0.00 1.2382E-01 1.6730E+00 1.7968E+00 5.2484E-02 1.4412E+00 0.4239 0.8614 0.7729 3.6416E-02 3 4.34 5.00 9.8361E-02 1.1096E+00 1.2080E+00 3.7209E-02 8.3873E-01 0.3783 0.7559 0.6635 4.4364E-02 5 8.68 10.00 6.0633E-02 6.4067E-01 7.0130E-01 2.1980E-02 4.5745E-01 0.3625 0.7140 0.6209 4.8048E-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 0.03833 0.07393 0.07148 0.04538 0.09868 0.10070 0.08802 5.000 5.010 5.005 0.07902 0.09944 0.09777 0.09218 0.11630 0.11742 0.11234 10.000 10.010 10.005 0.11006 0.11785 0.11718 0.11526 0.12508 0.12558 0.12374 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 6.29841E-03 8.20628E-03 1.45047E-02 4.31256E-03 0.070301 9 1 10.0 0.0 180.0 7.20279E-02 6.32939E-03 2.52445E-03 8.85384E-03 4.33378E-03 0.035048 9 4 10.0 45.0 135.0 7.91393E-02 6.32910E-03 2.91979E-03 9.24889E-03 4.33358E-03 0.036894 9 7 10.0 90.0 90.0 1.06924E-01 6.38579E-03 5.97233E-03 1.23581E-02 4.37240E-03 0.055856 8 1 20.0 0.0 180.0 5.65770E-02 6.39415E-03 1.37831E-03 7.77246E-03 4.37812E-03 0.024362 8 4 20.0 45.0 135.0 6.29854E-02 6.37303E-03 1.61942E-03 7.99245E-03 4.36366E-03 0.025711 8 7 20.0 90.0 90.0 9.26170E-02 6.48327E-03 3.56800E-03 1.00513E-02 4.43914E-03 0.038524 7 1 30.0 0.0 180.0 4.90553E-02 6.51530E-03 1.18088E-03 7.69618E-03 4.46107E-03 0.024072 7 4 30.0 45.0 135.0 5.43844E-02 6.56535E-03 1.32610E-03 7.89145E-03 4.49534E-03 0.024384 7 7 30.0 90.0 90.0 7.93238E-02 6.69471E-03 2.27003E-03 8.96474E-03 4.58391E-03 0.028617 6 1 40.0 0.0 180.0 4.65627E-02 6.65207E-03 1.31299E-03 7.96506E-03 4.55472E-03 0.028198 6 4 40.0 45.0 135.0 5.09138E-02 6.71533E-03 1.42402E-03 8.13935E-03 4.59804E-03 0.027969 6 7 40.0 90.0 90.0 7.14822E-02 6.92514E-03 2.06191E-03 8.98705E-03 4.74169E-03 0.028845 5 1 50.0 0.0 180.0 4.88195E-02 6.83289E-03 2.07407E-03 8.90696E-03 4.67852E-03 0.042485 5 4 50.0 45.0 135.0 5.20237E-02 6.87751E-03 2.16080E-03 9.03831E-03 4.70908E-03 0.041535 5 7 50.0 90.0 90.0 6.91524E-02 7.16421E-03 2.79351E-03 9.95772E-03 4.90539E-03 0.040396 4 1 60.0 0.0 180.0 5.79495E-02 6.83101E-03 4.83163E-03 1.16626E-02 4.67724E-03 0.083377 4 4 60.0 45.0 135.0 5.92610E-02 6.88108E-03 4.77115E-03 1.16522E-02 4.71152E-03 0.080511 4 7 60.0 90.0 90.0 7.31795E-02 7.31314E-03 5.57162E-03 1.28848E-02 5.00735E-03 0.076136 3 1 70.0 0.0 180.0 8.04053E-02 6.43201E-03 1.33462E-02 1.97783E-02 4.40404E-03 0.165987 3 4 70.0 45.0 135.0 7.81422E-02 6.56049E-03 1.28416E-02 1.94020E-02 4.49201E-03 0.164336 3 7 70.0 90.0 90.0 8.73611E-02 7.02405E-03 1.39646E-02 2.09886E-02 4.80942E-03 0.159849 2 1 80.0 0.0 180.0 1.36610E-01 5.57647E-03 3.31748E-02 3.87513E-02 3.81825E-03 0.242843 2 4 80.0 45.0 135.0 1.26498E-01 5.68174E-03 3.20869E-02 3.77686E-02 3.89033E-03 0.253655 2 7 80.0 90.0 90.0 1.25677E-01 6.11761E-03 3.36037E-02 3.97213E-02 4.18877E-03 0.267382 1 1 87.5 0.0 180.0 2.20873E-01 4.53359E-03 5.85083E-02 6.30419E-02 3.10418E-03 0.264896 1 4 87.5 45.0 135.0 1.98869E-01 4.40049E-03 5.81471E-02 6.25476E-02 3.01305E-03 0.292389 1 7 87.5 90.0 90.0 1.80927E-01 5.26351E-03 5.95098E-02 6.47733E-02 3.60396E-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 1.450E-02 1.167E-01 1.420E-01 1.229E-01 1.839E-01 9.931E-03 4.945E+00 6.298E-03 4.313E-03 1 0.00 0.00 1.167E-02 2.174E-01 2.295E-02 2.812E-02 4.176E-02 8.101E-03 4.495E+00 3 4.34 5.00 7.031E-03 5.411E-01 1.937E-02 2.832E-02 5.340E-02 8.383E-03 5.292E+00 5 8.68 10.00 3.883E-03 3.267E-01 1.367E-02 2.009E-02 3.443E-02 8.488E-03 5.661E+00 Waveband 16 of 40 completed in 4.3 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 33.0 m at 515.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 510.0 nm to 520.0 nm: Ed(diffuse) = 4.102E-01 Ed(direct) = 9.960E-01 Ed(total) = 1.406E+00 Absorption Coefficients of Individual Components at 515.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0396 0.0382 0.0000 0.0062 0.0840 3 4.369 5.000 0.0396 0.0382 0.0000 0.0062 0.0840 5 8.739 10.000 0.0396 0.0382 0.0000 0.0062 0.0840 Scattering Coefficients of Individual Components at 515.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0025 0.2757 0.5116 0.0000 0.7899 3 4.369 5.000 0.0025 0.2757 0.5116 0.0000 0.7899 5 8.739 10.000 0.0025 0.2757 0.5116 0.0000 0.7899 Backscattering Coefficients of Individual Components at 515.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00127 0.00387 0.00090 0.00000 0.00604 3 4.369 5.000 0.00127 0.00387 0.00090 0.00000 0.00604 5 8.739 10.000 0.00127 0.00387 0.00090 0.00000 0.00604 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 0.0840 0.7899 0.8739 0.9039 0.00604 0.00764 3 4.369 5.000 0.0840 0.7899 0.8739 0.9039 0.00604 0.00764 5 8.739 10.000 0.0840 0.7899 0.8739 0.9039 0.00604 0.00764 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5730E-01 8 20.00 8.5059E-01 7 30.00 7.0285E-01 6 40.00 5.4355E-01 5 50.00 3.9702E-01 4 60.00 2.7718E-01 3 70.00 1.8766E-01 2 80.00 1.2577E-01 1 87.50 9.2054E-02 1 92.50 7.2697E-02 2 100.00 5.3752E-02 3 110.00 3.7654E-02 4 120.00 2.7367E-02 5 130.00 2.0927E-02 6 140.00 1.6919E-02 7 150.00 1.4450E-02 8 160.00 1.2981E-02 9 170.00 1.2202E-02 10 180.00 1.1933E-02 Asymptotic AOP values are MUu(inf) = 0.3481 MUd(inf) = 0.6883 MU(inf) = 0.6015 R(inf) = 0.0463 Lu(inf)/Ed(inf) = 0.007646 (1/sr) k(inf) = 0.1396 (1/m) absorp(check) = 0.0840 = 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 1.7648E-01 1.9792E+00 2.1557E+00 6.6838E-02 1.4062E+00 0.3787 0.7105 0.6213 4.7530E-02 1 0.00 0.00 1.0910E-01 1.6023E+00 1.7114E+00 4.6005E-02 1.3854E+00 0.4217 0.8646 0.7826 3.3207E-02 3 4.37 5.00 8.4527E-02 1.0271E+00 1.1116E+00 3.1709E-02 7.7992E-01 0.3751 0.7593 0.6731 4.0657E-02 5 8.74 10.00 5.0332E-02 5.7183E-01 6.2216E-01 1.8095E-02 4.1073E-01 0.3595 0.7183 0.6311 4.4057E-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 0.03763 0.07830 0.07570 0.04867 0.10483 0.10676 0.09365 5.000 5.010 5.005 0.08559 0.10667 0.10507 0.09880 0.12321 0.12424 0.11907 10.000 10.010 10.005 0.11719 0.12514 0.12450 0.12233 0.13215 0.13260 0.13077 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 5.48786E-03 7.89040E-03 1.33783E-02 3.90248E-03 0.071277 9 1 10.0 0.0 180.0 6.83067E-02 5.51696E-03 2.40853E-03 7.92549E-03 3.92317E-03 0.035261 9 4 10.0 45.0 135.0 7.50506E-02 5.51589E-03 2.78762E-03 8.30351E-03 3.92241E-03 0.037143 9 7 10.0 90.0 90.0 1.01400E-01 5.56353E-03 5.73065E-03 1.12942E-02 3.95629E-03 0.056516 8 1 20.0 0.0 180.0 5.36540E-02 5.57423E-03 1.30784E-03 6.88207E-03 3.96390E-03 0.024375 8 4 20.0 45.0 135.0 5.97313E-02 5.55445E-03 1.53765E-03 7.09210E-03 3.94983E-03 0.025743 8 7 20.0 90.0 90.0 8.78321E-02 5.64780E-03 3.40910E-03 9.05689E-03 4.01621E-03 0.038814 7 1 30.0 0.0 180.0 4.65209E-02 5.68044E-03 1.11987E-03 6.80031E-03 4.03943E-03 0.024072 7 4 30.0 45.0 135.0 5.15753E-02 5.72217E-03 1.25768E-03 6.97986E-03 4.06910E-03 0.024385 7 7 30.0 90.0 90.0 7.52222E-02 5.83144E-03 2.15775E-03 7.98919E-03 4.14680E-03 0.028685 6 1 40.0 0.0 180.0 4.41571E-02 5.80023E-03 1.24515E-03 7.04539E-03 4.12461E-03 0.028198 6 4 40.0 45.0 135.0 4.82834E-02 5.85313E-03 1.35045E-03 7.20358E-03 4.16223E-03 0.027969 6 7 40.0 90.0 90.0 6.77892E-02 6.03219E-03 1.95571E-03 7.98790E-03 4.28956E-03 0.028850 5 1 50.0 0.0 180.0 4.62973E-02 5.95914E-03 1.96692E-03 7.92606E-03 4.23761E-03 0.042485 5 4 50.0 45.0 135.0 4.93360E-02 5.99571E-03 2.04917E-03 8.04488E-03 4.26362E-03 0.041535 5 7 50.0 90.0 90.0 6.55798E-02 6.24247E-03 2.64918E-03 8.89166E-03 4.43909E-03 0.040396 4 1 60.0 0.0 180.0 5.49556E-02 5.95924E-03 4.58201E-03 1.05412E-02 4.23768E-03 0.083377 4 4 60.0 45.0 135.0 5.61993E-02 6.00067E-03 4.52465E-03 1.05253E-02 4.26715E-03 0.080511 4 7 60.0 90.0 90.0 6.93988E-02 6.37532E-03 5.28376E-03 1.16591E-02 4.53356E-03 0.076136 3 1 70.0 0.0 180.0 7.62513E-02 5.61429E-03 1.26567E-02 1.82710E-02 3.99239E-03 0.165987 3 4 70.0 45.0 135.0 7.41051E-02 5.72468E-03 1.21781E-02 1.79028E-02 4.07089E-03 0.164336 3 7 70.0 90.0 90.0 8.28477E-02 6.12912E-03 1.32431E-02 1.93723E-02 4.35849E-03 0.159849 2 1 80.0 0.0 180.0 1.29552E-01 4.87061E-03 3.14609E-02 3.63315E-02 3.46355E-03 0.242843 2 4 80.0 45.0 135.0 1.19963E-01 4.96146E-03 3.04292E-02 3.53906E-02 3.52815E-03 0.253655 2 7 80.0 90.0 90.0 1.19184E-01 5.34363E-03 3.18676E-02 3.72112E-02 3.79992E-03 0.267382 1 1 87.5 0.0 180.0 2.09462E-01 3.96299E-03 5.54856E-02 5.94486E-02 2.81813E-03 0.264896 1 4 87.5 45.0 135.0 1.88595E-01 3.84613E-03 5.51430E-02 5.89891E-02 2.73503E-03 0.292389 1 7 87.5 90.0 90.0 1.71580E-01 4.60359E-03 5.64353E-02 6.10388E-02 3.27367E-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 1.338E-02 1.107E-01 1.345E-01 1.163E-01 1.742E-01 9.513E-03 4.996E+00 5.488E-03 3.902E-03 1 0.00 0.00 1.017E-02 2.061E-01 2.024E-02 2.490E-02 3.741E-02 7.343E-03 4.522E+00 3 4.37 5.00 5.936E-03 5.061E-01 1.681E-02 2.478E-02 4.728E-02 7.612E-03 5.341E+00 5 8.74 10.00 3.167E-03 2.966E-01 1.147E-02 1.698E-02 2.933E-02 7.711E-03 5.714E+00 Waveband 17 of 40 completed in 4.3 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 33.0 m at 525.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 520.0 nm to 530.0 nm: Ed(diffuse) = 4.132E-01 Ed(direct) = 1.024E+00 Ed(total) = 1.437E+00 Absorption Coefficients of Individual Components at 525.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0417 0.0331 0.0000 0.0054 0.0802 3 4.349 5.000 0.0417 0.0331 0.0000 0.0054 0.0802 5 8.699 10.000 0.0417 0.0331 0.0000 0.0054 0.0802 Scattering Coefficients of Individual Components at 525.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0023 0.2757 0.5116 0.0000 0.7897 3 4.349 5.000 0.0023 0.2757 0.5116 0.0000 0.7897 5 8.699 10.000 0.0023 0.2757 0.5116 0.0000 0.7897 Backscattering Coefficients of Individual Components at 525.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00117 0.00387 0.00090 0.00000 0.00594 3 4.349 5.000 0.00117 0.00387 0.00090 0.00000 0.00594 5 8.699 10.000 0.00117 0.00387 0.00090 0.00000 0.00594 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 0.0802 0.7897 0.8699 0.9079 0.00594 0.00752 3 4.349 5.000 0.0802 0.7897 0.8699 0.9079 0.00594 0.00752 5 8.699 10.000 0.0802 0.7897 0.8699 0.9079 0.00594 0.00752 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5831E-01 8 20.00 8.5391E-01 7 30.00 7.0880E-01 6 40.00 5.5142E-01 5 50.00 4.0561E-01 4 60.00 2.8537E-01 3 70.00 1.9474E-01 2 80.00 1.3148E-01 1 87.50 9.6718E-02 1 92.50 7.6622E-02 2 100.00 5.6858E-02 3 110.00 3.9956E-02 4 120.00 2.9082E-02 5 130.00 2.2232E-02 6 140.00 1.7948E-02 7 150.00 1.5298E-02 8 160.00 1.3717E-02 9 170.00 1.2877E-02 10 180.00 1.2586E-02 Asymptotic AOP values are MUu(inf) = 0.3485 MUd(inf) = 0.6849 MU(inf) = 0.5952 R(inf) = 0.0484 Lu(inf)/Ed(inf) = 0.007960 (1/sr) k(inf) = 0.1347 (1/m) absorp(check) = 0.0802 = 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 1.8060E-01 2.0178E+00 2.1984E+00 6.8928E-02 1.4373E+00 0.3817 0.7123 0.6224 4.7955E-02 1 0.00 0.00 1.1612E-01 1.6412E+00 1.7573E+00 4.9040E-02 1.4174E+00 0.4223 0.8637 0.7787 3.4598E-02 3 4.35 5.00 9.2099E-02 1.0783E+00 1.1704E+00 3.4637E-02 8.1719E-01 0.3761 0.7578 0.6686 4.2386E-02 5 8.70 10.00 5.6336E-02 6.1630E-01 6.7263E-01 2.0294E-02 4.4123E-01 0.3602 0.7159 0.6258 4.5995E-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 0.03637 0.07479 0.07225 0.04504 0.10041 0.10239 0.08910 5.000 5.010 5.005 0.08022 0.10142 0.09976 0.09353 0.11827 0.11936 0.11404 10.000 10.010 10.005 0.11186 0.11993 0.11925 0.11709 0.12714 0.12762 0.12570 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 5.83534E-03 8.05409E-03 1.38894E-02 4.05979E-03 0.072229 9 1 10.0 0.0 180.0 6.88052E-02 5.85838E-03 2.44035E-03 8.29873E-03 4.07583E-03 0.035468 9 4 10.0 45.0 135.0 7.55983E-02 5.86004E-03 2.82629E-03 8.68633E-03 4.07698E-03 0.037386 9 7 10.0 90.0 90.0 1.02140E-01 5.91756E-03 5.83812E-03 1.17557E-02 4.11700E-03 0.057158 8 1 20.0 0.0 180.0 5.40455E-02 5.91660E-03 1.31810E-03 7.23470E-03 4.11633E-03 0.024389 8 4 20.0 45.0 135.0 6.01672E-02 5.90019E-03 1.55074E-03 7.45093E-03 4.10492E-03 0.025774 8 7 20.0 90.0 90.0 8.84730E-02 6.01064E-03 3.45894E-03 9.46958E-03 4.18176E-03 0.039096 7 1 30.0 0.0 180.0 4.68604E-02 6.02809E-03 1.12804E-03 7.15613E-03 4.19390E-03 0.024072 7 4 30.0 45.0 135.0 5.19522E-02 6.07875E-03 1.26695E-03 7.34570E-03 4.22914E-03 0.024387 7 7 30.0 90.0 90.0 7.57678E-02 6.21042E-03 2.17841E-03 8.38883E-03 4.32075E-03 0.028751 6 1 40.0 0.0 180.0 4.44793E-02 6.15560E-03 1.25424E-03 7.40984E-03 4.28261E-03 0.028198 6 4 40.0 45.0 135.0 4.86358E-02 6.22007E-03 1.36030E-03 7.58038E-03 4.32747E-03 0.027969 6 7 40.0 90.0 90.0 6.82839E-02 6.43095E-03 1.97030E-03 8.40125E-03 4.47418E-03 0.028855 5 1 50.0 0.0 180.0 4.66351E-02 6.32524E-03 1.98127E-03 8.30651E-03 4.40063E-03 0.042485 5 4 50.0 45.0 135.0 4.96960E-02 6.37381E-03 2.06412E-03 8.43793E-03 4.43442E-03 0.041535 5 7 50.0 90.0 90.0 6.60583E-02 6.66026E-03 2.66852E-03 9.32877E-03 4.63371E-03 0.040396 4 1 60.0 0.0 180.0 5.53566E-02 6.32630E-03 4.61544E-03 1.09417E-02 4.40137E-03 0.083377 4 4 60.0 45.0 135.0 5.66094E-02 6.38105E-03 4.55767E-03 1.09387E-02 4.43946E-03 0.080511 4 7 60.0 90.0 90.0 6.99052E-02 6.80628E-03 5.32232E-03 1.21286E-02 4.73530E-03 0.076136 3 1 70.0 0.0 180.0 7.68077E-02 5.96051E-03 1.27491E-02 1.87096E-02 4.14688E-03 0.165987 3 4 70.0 45.0 135.0 7.46458E-02 6.08858E-03 1.22670E-02 1.83556E-02 4.23598E-03 0.164336 3 7 70.0 90.0 90.0 8.34523E-02 6.54568E-03 1.33398E-02 1.98854E-02 4.55400E-03 0.159849 2 1 80.0 0.0 180.0 1.30497E-01 5.17085E-03 3.16904E-02 3.68613E-02 3.59749E-03 0.242843 2 4 80.0 45.0 135.0 1.20838E-01 5.27708E-03 3.06512E-02 3.59283E-02 3.67140E-03 0.253655 2 7 80.0 90.0 90.0 1.20054E-01 5.70753E-03 3.21002E-02 3.78077E-02 3.97088E-03 0.267382 1 1 87.5 0.0 180.0 2.10990E-01 4.20655E-03 5.58905E-02 6.00970E-02 2.92661E-03 0.264896 1 4 87.5 45.0 135.0 1.89971E-01 4.09020E-03 5.55454E-02 5.96356E-02 2.84566E-03 0.292389 1 7 87.5 90.0 90.0 1.72832E-01 4.91625E-03 5.68471E-02 6.17633E-02 3.42036E-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 1.389E-02 1.115E-01 1.355E-01 1.173E-01 1.756E-01 9.663E-03 4.963E+00 5.835E-03 4.060E-03 1 0.00 0.00 1.082E-02 2.076E-01 2.139E-02 2.643E-02 3.973E-02 7.631E-03 4.534E+00 3 4.35 5.00 6.468E-03 5.284E-01 1.810E-02 2.675E-02 5.104E-02 7.915E-03 5.355E+00 5 8.70 10.00 3.539E-03 3.167E-01 1.270E-02 1.885E-02 3.260E-02 8.021E-03 5.735E+00 Waveband 18 of 40 completed in 4.4 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 33.0 m at 535.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 530.0 nm to 540.0 nm: Ed(diffuse) = 4.123E-01 Ed(direct) = 1.041E+00 Ed(total) = 1.453E+00 Absorption Coefficients of Individual Components at 535.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0452 0.0289 0.0000 0.0047 0.0788 3 4.342 5.000 0.0452 0.0289 0.0000 0.0047 0.0788 5 8.683 10.000 0.0452 0.0289 0.0000 0.0047 0.0788 Scattering Coefficients of Individual Components at 535.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0022 0.2757 0.5116 0.0000 0.7895 3 4.342 5.000 0.0022 0.2757 0.5116 0.0000 0.7895 5 8.683 10.000 0.0022 0.2757 0.5116 0.0000 0.7895 Backscattering Coefficients of Individual Components at 535.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00108 0.00387 0.00090 0.00000 0.00584 3 4.342 5.000 0.00108 0.00387 0.00090 0.00000 0.00584 5 8.683 10.000 0.00108 0.00387 0.00090 0.00000 0.00584 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 0.0788 0.7895 0.8683 0.9093 0.00584 0.00740 3 4.342 5.000 0.0788 0.7895 0.8683 0.9093 0.00584 0.00740 5 8.683 10.000 0.0788 0.7895 0.8683 0.9093 0.00584 0.00740 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5868E-01 8 20.00 8.5512E-01 7 30.00 7.1096E-01 6 40.00 5.5428E-01 5 50.00 4.0874E-01 4 60.00 2.8834E-01 3 70.00 1.9729E-01 2 80.00 1.3353E-01 1 87.50 9.8373E-02 1 92.50 7.7999E-02 2 100.00 5.7926E-02 3 110.00 4.0723E-02 4 120.00 2.9627E-02 5 130.00 2.2624E-02 6 140.00 1.8236E-02 7 150.00 1.5519E-02 8 160.00 1.3896E-02 9 170.00 1.3032E-02 10 180.00 1.2734E-02 Asymptotic AOP values are MUu(inf) = 0.3483 MUd(inf) = 0.6837 MU(inf) = 0.5931 R(inf) = 0.0490 Lu(inf)/Ed(inf) = 0.008016 (1/sr) k(inf) = 0.1328 (1/m) absorp(check) = 0.0788 = 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 1.8161E-01 2.0355E+00 2.2171E+00 6.9642E-02 1.4533E+00 0.3835 0.7140 0.6241 4.7921E-02 1 0.00 0.00 1.1843E-01 1.6599E+00 1.7783E+00 5.0017E-02 1.4336E+00 0.4223 0.8637 0.7781 3.4888E-02 3 4.34 5.00 9.4963E-02 1.1011E+00 1.1960E+00 3.5715E-02 8.3411E-01 0.3761 0.7575 0.6675 4.2818E-02 5 8.68 10.00 5.8738E-02 6.3571E-01 6.9445E-01 2.1154E-02 4.5468E-01 0.3601 0.7152 0.6243 4.6525E-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 0.03506 0.07335 0.07080 0.04318 0.09871 0.10072 0.08712 5.000 5.010 5.005 0.07791 0.09939 0.09768 0.09130 0.11638 0.11750 0.11197 10.000 10.010 10.005 0.10971 0.11792 0.11723 0.11499 0.12523 0.12573 0.12369 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 5.93348E-03 8.13347E-03 1.40669E-02 4.08283E-03 0.073114 9 1 10.0 0.0 180.0 6.86415E-02 5.95170E-03 2.44778E-03 8.39947E-03 4.09536E-03 0.035660 9 4 10.0 45.0 135.0 7.54184E-02 5.95521E-03 2.83658E-03 8.79180E-03 4.09778E-03 0.037611 9 7 10.0 90.0 90.0 1.01897E-01 6.01824E-03 5.88520E-03 1.19034E-02 4.14115E-03 0.057757 8 1 20.0 0.0 180.0 5.39169E-02 6.00914E-03 1.31563E-03 7.32477E-03 4.13489E-03 0.024401 8 4 20.0 45.0 135.0 6.00240E-02 5.99547E-03 1.54878E-03 7.54425E-03 4.12548E-03 0.025803 8 7 20.0 90.0 90.0 8.82625E-02 6.11521E-03 3.47390E-03 9.58911E-03 4.20787E-03 0.039359 7 1 30.0 0.0 180.0 4.67489E-02 6.12158E-03 1.12535E-03 7.24694E-03 4.21226E-03 0.024072 7 4 30.0 45.0 135.0 5.18291E-02 6.17718E-03 1.26402E-03 7.44120E-03 4.25052E-03 0.024388 7 7 30.0 90.0 90.0 7.55844E-02 6.32142E-03 2.17779E-03 8.49921E-03 4.34977E-03 0.028813 6 1 40.0 0.0 180.0 4.43735E-02 6.25140E-03 1.25125E-03 7.50266E-03 4.30159E-03 0.028198 6 4 40.0 45.0 135.0 4.85201E-02 6.32236E-03 1.35706E-03 7.67943E-03 4.35042E-03 0.027969 6 7 40.0 90.0 90.0 6.81214E-02 6.55069E-03 1.96591E-03 8.51661E-03 4.50753E-03 0.028859 5 1 50.0 0.0 180.0 4.65242E-02 6.42460E-03 1.97656E-03 8.40115E-03 4.42076E-03 0.042485 5 4 50.0 45.0 135.0 4.95778E-02 6.48041E-03 2.05921E-03 8.53962E-03 4.45917E-03 0.041535 5 7 50.0 90.0 90.0 6.59011E-02 6.78836E-03 2.66217E-03 9.45053E-03 4.67107E-03 0.040396 4 1 60.0 0.0 180.0 5.52249E-02 6.42667E-03 4.60446E-03 1.10311E-02 4.42219E-03 0.083377 4 4 60.0 45.0 135.0 5.64747E-02 6.48953E-03 4.54682E-03 1.10364E-02 4.46544E-03 0.080511 4 7 60.0 90.0 90.0 6.97389E-02 6.94092E-03 5.30966E-03 1.22506E-02 4.77604E-03 0.076136 3 1 70.0 0.0 180.0 7.66250E-02 6.05597E-03 1.27188E-02 1.87747E-02 4.16711E-03 0.165987 3 4 70.0 45.0 135.0 7.44683E-02 6.19354E-03 1.22378E-02 1.84313E-02 4.26178E-03 0.164336 3 7 70.0 90.0 90.0 8.32537E-02 6.67806E-03 1.33080E-02 1.99861E-02 4.59517E-03 0.159849 2 1 80.0 0.0 180.0 1.30187E-01 5.25420E-03 3.16150E-02 3.68692E-02 3.61541E-03 0.242843 2 4 80.0 45.0 135.0 1.20551E-01 5.36896E-03 3.05783E-02 3.59473E-02 3.69438E-03 0.253655 2 7 80.0 90.0 90.0 1.19768E-01 5.82470E-03 3.20238E-02 3.78485E-02 4.00798E-03 0.267382 1 1 87.5 0.0 180.0 2.10488E-01 4.27453E-03 5.57575E-02 6.00320E-02 2.94130E-03 0.264896 1 4 87.5 45.0 135.0 1.89519E-01 4.16175E-03 5.54132E-02 5.95750E-02 2.86370E-03 0.292389 1 7 87.5 90.0 90.0 1.72420E-01 5.01793E-03 5.67118E-02 6.17297E-02 3.45284E-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 1.407E-02 1.112E-01 1.353E-01 1.171E-01 1.753E-01 9.679E-03 4.951E+00 5.933E-03 4.083E-03 1 0.00 0.00 1.100E-02 2.071E-01 2.171E-02 2.694E-02 4.060E-02 7.671E-03 4.548E+00 3 4.34 5.00 6.644E-03 5.387E-01 1.855E-02 2.751E-02 5.262E-02 7.966E-03 5.375E+00 5 8.68 10.00 3.673E-03 3.257E-01 1.318E-02 1.962E-02 3.401E-02 8.078E-03 5.760E+00 Waveband 19 of 40 completed in 4.4 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 33.0 m at 545.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 540.0 nm to 550.0 nm: Ed(diffuse) = 4.017E-01 Ed(direct) = 1.032E+00 Ed(total) = 1.434E+00 Absorption Coefficients of Individual Components at 545.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0511 0.0256 0.0000 0.0041 0.0808 3 4.351 5.000 0.0511 0.0256 0.0000 0.0041 0.0808 5 8.701 10.000 0.0511 0.0256 0.0000 0.0041 0.0808 Scattering Coefficients of Individual Components at 545.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0020 0.2757 0.5116 0.0000 0.7894 3 4.351 5.000 0.0020 0.2757 0.5116 0.0000 0.7894 5 8.701 10.000 0.0020 0.2757 0.5116 0.0000 0.7894 Backscattering Coefficients of Individual Components at 545.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00100 0.00387 0.00090 0.00000 0.00576 3 4.351 5.000 0.00100 0.00387 0.00090 0.00000 0.00576 5 8.701 10.000 0.00100 0.00387 0.00090 0.00000 0.00576 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 0.0808 0.7894 0.8701 0.9072 0.00576 0.00730 3 4.351 5.000 0.0808 0.7894 0.8701 0.9072 0.00576 0.00730 5 8.701 10.000 0.0808 0.7894 0.8701 0.9072 0.00576 0.00730 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5814E-01 8 20.00 8.5334E-01 7 30.00 7.0776E-01 6 40.00 5.5000E-01 5 50.00 4.0399E-01 4 60.00 2.8374E-01 3 70.00 1.9323E-01 2 80.00 1.3015E-01 1 87.50 9.5544E-02 1 92.50 7.5561E-02 2 100.00 5.5929E-02 3 110.00 3.9166E-02 4 120.00 2.8398E-02 5 130.00 2.1628E-02 6 140.00 1.7399E-02 7 150.00 1.4787E-02 8 160.00 1.3230E-02 9 170.00 1.2402E-02 10 180.00 1.2117E-02 Asymptotic AOP values are MUu(inf) = 0.3468 MUd(inf) = 0.6857 MU(inf) = 0.5974 R(inf) = 0.0473 Lu(inf)/Ed(inf) = 0.007682 (1/sr) k(inf) = 0.1352 (1/m) absorp(check) = 0.0808 = 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 1.7634E-01 2.0041E+00 2.1804E+00 6.7670E-02 1.4340E+00 0.3838 0.7155 0.6266 4.7190E-02 1 0.00 0.00 1.1258E-01 1.6340E+00 1.7466E+00 4.7425E-02 1.4137E+00 0.4213 0.8652 0.7822 3.3547E-02 3 4.35 5.00 8.9721E-02 1.0718E+00 1.1616E+00 3.3611E-02 8.1350E-01 0.3746 0.7590 0.6714 4.1317E-02 5 8.70 10.00 5.4912E-02 6.1142E-01 6.6633E-01 1.9698E-02 4.3830E-01 0.3587 0.7169 0.6282 4.4943E-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 0.03412 0.07469 0.07207 0.04372 0.10075 0.10273 0.08869 5.000 5.010 5.005 0.07982 0.10177 0.10008 0.09325 0.11867 0.11977 0.11402 10.000 10.010 10.005 0.11196 0.12034 0.11965 0.11722 0.12759 0.12807 0.12592 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 5.60195E-03 8.01634E-03 1.36183E-02 3.90662E-03 0.073957 9 1 10.0 0.0 180.0 6.68824E-02 5.61800E-03 2.39731E-03 8.01531E-03 3.91781E-03 0.035844 9 4 10.0 45.0 135.0 7.34857E-02 5.62169E-03 2.77967E-03 8.40135E-03 3.92038E-03 0.037826 9 7 10.0 90.0 90.0 9.92853E-02 5.68225E-03 5.79088E-03 1.14731E-02 3.96261E-03 0.058326 8 1 20.0 0.0 180.0 5.25352E-02 5.67194E-03 1.28254E-03 6.95448E-03 3.95542E-03 0.024413 8 4 20.0 45.0 135.0 5.84859E-02 5.65962E-03 1.51070E-03 7.17032E-03 3.94683E-03 0.025830 8 7 20.0 90.0 90.0 8.60007E-02 5.77449E-03 3.40636E-03 9.18085E-03 4.02694E-03 0.039609 7 1 30.0 0.0 180.0 4.55509E-02 5.77806E-03 1.09651E-03 6.87458E-03 4.02943E-03 0.024072 7 4 30.0 45.0 135.0 5.05014E-02 5.83136E-03 1.23170E-03 7.06306E-03 4.06660E-03 0.024390 7 7 30.0 90.0 90.0 7.36446E-02 5.97025E-03 2.12621E-03 8.09645E-03 4.16345E-03 0.028871 6 1 40.0 0.0 180.0 4.32364E-02 5.90106E-03 1.21919E-03 7.12025E-03 4.11520E-03 0.028198 6 4 40.0 45.0 135.0 4.72767E-02 5.96925E-03 1.32229E-03 7.29153E-03 4.16275E-03 0.027969 6 7 40.0 90.0 90.0 6.63757E-02 6.18892E-03 1.91581E-03 8.10473E-03 4.31595E-03 0.028863 5 1 50.0 0.0 180.0 4.53319E-02 6.06558E-03 1.92591E-03 7.99149E-03 4.22994E-03 0.042485 5 4 50.0 45.0 135.0 4.83073E-02 6.11988E-03 2.00644E-03 8.12632E-03 4.26780E-03 0.041535 5 7 50.0 90.0 90.0 6.42124E-02 6.41628E-03 2.59395E-03 9.01022E-03 4.47450E-03 0.040396 4 1 60.0 0.0 180.0 5.38097E-02 6.06884E-03 4.48647E-03 1.05553E-02 4.23221E-03 0.083377 4 4 60.0 45.0 135.0 5.50275E-02 6.13018E-03 4.43031E-03 1.05605E-02 4.27498E-03 0.080511 4 7 60.0 90.0 90.0 6.79517E-02 6.56365E-03 5.17359E-03 1.17372E-02 4.57727E-03 0.076136 3 1 70.0 0.0 180.0 7.46614E-02 5.72071E-03 1.23928E-02 1.81135E-02 3.98943E-03 0.165987 3 4 70.0 45.0 135.0 7.25599E-02 5.85297E-03 1.19242E-02 1.77772E-02 4.08167E-03 0.164336 3 7 70.0 90.0 90.0 8.11203E-02 6.31924E-03 1.29670E-02 1.92862E-02 4.40683E-03 0.159849 2 1 80.0 0.0 180.0 1.26851E-01 4.96507E-03 3.08049E-02 3.57699E-02 3.46247E-03 0.242843 2 4 80.0 45.0 135.0 1.17461E-01 5.07588E-03 2.97947E-02 3.48706E-02 3.53975E-03 0.253655 2 7 80.0 90.0 90.0 1.16699E-01 5.51520E-03 3.12031E-02 3.67184E-02 3.84612E-03 0.267382 1 1 87.5 0.0 180.0 2.05094E-01 4.04095E-03 5.43287E-02 5.83696E-02 2.81803E-03 0.264896 1 4 87.5 45.0 135.0 1.84662E-01 3.93641E-03 5.39932E-02 5.79296E-02 2.74512E-03 0.292389 1 7 87.5 90.0 90.0 1.68002E-01 4.75459E-03 5.52585E-02 6.00131E-02 3.31569E-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 1.362E-02 1.084E-01 1.317E-01 1.140E-01 1.707E-01 9.497E-03 4.969E+00 5.602E-03 3.907E-03 1 0.00 0.00 1.038E-02 2.018E-01 2.059E-02 2.565E-02 3.893E-02 7.345E-03 4.568E+00 3 4.35 5.00 6.215E-03 5.266E-01 1.755E-02 2.618E-02 5.040E-02 7.640E-03 5.408E+00 5 8.70 10.00 3.399E-03 3.153E-01 1.235E-02 1.848E-02 3.218E-02 7.754E-03 5.796E+00 Waveband 20 of 40 completed in 4.4 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 32.9 m at 555.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 550.0 nm to 560.0 nm: Ed(diffuse) = 3.946E-01 Ed(direct) = 1.031E+00 Ed(total) = 1.425E+00 Absorption Coefficients of Individual Components at 555.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0596 0.0219 0.0000 0.0035 0.0850 3 4.371 5.000 0.0596 0.0219 0.0000 0.0035 0.0850 5 8.742 10.000 0.0596 0.0219 0.0000 0.0035 0.0850 Scattering Coefficients of Individual Components at 555.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0018 0.2757 0.5116 0.0000 0.7892 3 4.371 5.000 0.0018 0.2757 0.5116 0.0000 0.7892 5 8.742 10.000 0.0018 0.2757 0.5116 0.0000 0.7892 Backscattering Coefficients of Individual Components at 555.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00092 0.00387 0.00090 0.00000 0.00569 3 4.371 5.000 0.00092 0.00387 0.00090 0.00000 0.00569 5 8.742 10.000 0.00092 0.00387 0.00090 0.00000 0.00569 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 0.0850 0.7892 0.8742 0.9027 0.00569 0.00721 3 4.371 5.000 0.0850 0.7892 0.8742 0.9027 0.00569 0.00721 5 8.742 10.000 0.0850 0.7892 0.8742 0.9027 0.00569 0.00721 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5701E-01 8 20.00 8.4962E-01 7 30.00 7.0108E-01 6 40.00 5.4113E-01 5 50.00 3.9426E-01 4 60.00 2.7441E-01 3 70.00 1.8510E-01 2 80.00 1.2351E-01 1 87.50 9.0049E-02 1 92.50 7.0879E-02 2 100.00 5.2153E-02 3 110.00 3.6283E-02 4 120.00 2.6173E-02 5 130.00 1.9862E-02 6 140.00 1.5945E-02 7 150.00 1.3537E-02 8 160.00 1.2108E-02 9 170.00 1.1350E-02 10 180.00 1.1089E-02 Asymptotic AOP values are MUu(inf) = 0.3447 MUd(inf) = 0.6897 MU(inf) = 0.6055 R(inf) = 0.0443 Lu(inf)/Ed(inf) = 0.007136 (1/sr) k(inf) = 0.1404 (1/m) absorp(check) = 0.0850 = 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 1.7141E-01 1.9877E+00 2.1591E+00 6.5669E-02 1.4251E+00 0.3831 0.7169 0.6296 4.6081E-02 1 0.00 0.00 1.0466E-01 1.6178E+00 1.7224E+00 4.3908E-02 1.4033E+00 0.4195 0.8674 0.7892 3.1289E-02 3 4.37 5.00 8.1937E-02 1.0346E+00 1.1165E+00 3.0500E-02 7.8783E-01 0.3722 0.7615 0.6783 3.8714E-02 5 8.74 10.00 4.8898E-02 5.7443E-01 6.2333E-01 1.7433E-02 4.1356E-01 0.3565 0.7200 0.6355 4.2154E-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 0.03361 0.07801 0.07532 0.04591 0.10533 0.10725 0.09266 5.000 5.010 5.005 0.08459 0.10715 0.10549 0.09803 0.12380 0.12484 0.11884 10.000 10.010 10.005 0.11717 0.12575 0.12508 0.12237 0.13283 0.13329 0.13096 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 5.16061E-03 7.95844E-03 1.31191E-02 3.62128E-03 0.074746 9 1 10.0 0.0 180.0 6.56983E-02 5.17665E-03 2.36614E-03 7.54280E-03 3.63254E-03 0.036015 9 4 10.0 45.0 135.0 7.21847E-02 5.17956E-03 2.74497E-03 7.92452E-03 3.63458E-03 0.038027 9 7 10.0 90.0 90.0 9.75275E-02 5.23431E-03 5.74034E-03 1.09746E-02 3.67300E-03 0.058859 8 1 20.0 0.0 180.0 5.16051E-02 5.22689E-03 1.26040E-03 6.48729E-03 3.66779E-03 0.024424 8 4 20.0 45.0 135.0 5.74504E-02 5.21468E-03 1.48543E-03 6.70011E-03 3.65923E-03 0.025856 8 7 20.0 90.0 90.0 8.44780E-02 5.31894E-03 3.36583E-03 8.68477E-03 3.73239E-03 0.039843 7 1 30.0 0.0 180.0 4.47444E-02 5.32509E-03 1.07710E-03 6.40219E-03 3.73670E-03 0.024072 7 4 30.0 45.0 135.0 4.96077E-02 5.37303E-03 1.20997E-03 6.58300E-03 3.77034E-03 0.024391 7 7 30.0 90.0 90.0 7.23380E-02 5.49906E-03 2.09245E-03 7.59151E-03 3.85878E-03 0.028926 6 1 40.0 0.0 180.0 4.24709E-02 5.43886E-03 1.19760E-03 6.63647E-03 3.81654E-03 0.028198 6 4 40.0 45.0 135.0 4.64396E-02 5.50035E-03 1.29888E-03 6.79923E-03 3.85969E-03 0.027969 6 7 40.0 90.0 90.0 6.52005E-02 5.70083E-03 1.88214E-03 7.58297E-03 4.00036E-03 0.028867 5 1 50.0 0.0 180.0 4.45293E-02 5.59145E-03 1.89181E-03 7.48326E-03 3.92361E-03 0.042485 5 4 50.0 45.0 135.0 4.74520E-02 5.64015E-03 1.97092E-03 7.61107E-03 3.95779E-03 0.041535 5 7 50.0 90.0 90.0 6.30755E-02 5.91206E-03 2.54802E-03 8.46008E-03 4.14859E-03 0.040396 4 1 60.0 0.0 180.0 5.28570E-02 5.59577E-03 4.40703E-03 1.00028E-02 3.92664E-03 0.083377 4 4 60.0 45.0 135.0 5.40532E-02 5.65109E-03 4.35187E-03 1.00030E-02 3.96546E-03 0.080511 4 7 60.0 90.0 90.0 6.67486E-02 6.05040E-03 5.08199E-03 1.11324E-02 4.24566E-03 0.076136 3 1 70.0 0.0 180.0 7.33395E-02 5.27708E-03 1.21734E-02 1.74505E-02 3.70301E-03 0.165987 3 4 70.0 45.0 135.0 7.12752E-02 5.39825E-03 1.17131E-02 1.71113E-02 3.78804E-03 0.164336 3 7 70.0 90.0 90.0 7.96840E-02 5.82965E-03 1.27374E-02 1.85671E-02 4.09076E-03 0.159849 2 1 80.0 0.0 180.0 1.24605E-01 4.58229E-03 3.02595E-02 3.48417E-02 3.21547E-03 0.242843 2 4 80.0 45.0 135.0 1.15382E-01 4.68419E-03 2.92672E-02 3.39514E-02 3.28698E-03 0.253655 2 7 80.0 90.0 90.0 1.14633E-01 5.09209E-03 3.06507E-02 3.57428E-02 3.57320E-03 0.267382 1 1 87.5 0.0 180.0 2.01463E-01 3.73178E-03 5.33668E-02 5.70985E-02 2.61865E-03 0.264896 1 4 87.5 45.0 135.0 1.81393E-01 3.63523E-03 5.30373E-02 5.66725E-02 2.55090E-03 0.292389 1 7 87.5 90.0 90.0 1.65027E-01 4.39436E-03 5.42802E-02 5.86745E-02 3.08359E-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 1.312E-02 1.065E-01 1.293E-01 1.119E-01 1.676E-01 9.206E-03 5.006E+00 5.161E-03 3.621E-03 1 0.00 0.00 9.565E-03 1.982E-01 1.914E-02 2.394E-02 3.666E-02 6.816E-03 4.590E+00 3 4.37 5.00 5.598E-03 5.121E-01 1.614E-02 2.423E-02 4.707E-02 7.106E-03 5.448E+00 5 8.74 10.00 2.987E-03 3.000E-01 1.109E-02 1.667E-02 2.921E-02 7.221E-03 5.837E+00 Waveband 21 of 40 completed in 4.4 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 32.9 m at 565.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 560.0 nm to 570.0 nm: Ed(diffuse) = 3.870E-01 Ed(direct) = 1.026E+00 Ed(total) = 1.413E+00 Absorption Coefficients of Individual Components at 565.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0642 0.0189 0.0000 0.0031 0.0862 3 4.376 5.000 0.0642 0.0189 0.0000 0.0031 0.0862 5 8.752 10.000 0.0642 0.0189 0.0000 0.0031 0.0862 Scattering Coefficients of Individual Components at 565.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0017 0.2757 0.5116 0.0000 0.7891 3 4.376 5.000 0.0017 0.2757 0.5116 0.0000 0.7891 5 8.752 10.000 0.0017 0.2757 0.5116 0.0000 0.7891 Backscattering Coefficients of Individual Components at 565.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00085 0.00387 0.00090 0.00000 0.00562 3 4.376 5.000 0.00085 0.00387 0.00090 0.00000 0.00562 5 8.752 10.000 0.00085 0.00387 0.00090 0.00000 0.00562 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 0.0862 0.7891 0.8752 0.9015 0.00562 0.00712 3 4.376 5.000 0.0862 0.7891 0.8752 0.9015 0.00562 0.00712 5 8.752 10.000 0.0862 0.7891 0.8752 0.9015 0.00562 0.00712 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5670E-01 8 20.00 8.4861E-01 7 30.00 6.9928E-01 6 40.00 5.3874E-01 5 50.00 3.9164E-01 4 60.00 2.7189E-01 3 70.00 1.8290E-01 2 80.00 1.2170E-01 1 87.50 8.8538E-02 1 92.50 6.9580E-02 2 100.00 5.1091E-02 3 110.00 3.5455E-02 4 120.00 2.5517E-02 5 130.00 1.9326E-02 6 140.00 1.5491E-02 7 150.00 1.3137E-02 8 160.00 1.1740E-02 9 170.00 1.1001E-02 10 180.00 1.0746E-02 Asymptotic AOP values are MUu(inf) = 0.3438 MUd(inf) = 0.6908 MU(inf) = 0.6080 R(inf) = 0.0433 Lu(inf)/Ed(inf) = 0.006944 (1/sr) k(inf) = 0.1418 (1/m) absorp(check) = 0.0862 = 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 1.6800E-01 1.9675E+00 2.1355E+00 6.4463E-02 1.4132E+00 0.3837 0.7183 0.6316 4.5614E-02 1 0.00 0.00 1.0131E-01 1.6020E+00 1.7033E+00 4.2428E-02 1.3912E+00 0.4188 0.8684 0.7918 3.0498E-02 3 4.38 5.00 7.9126E-02 1.0181E+00 1.0972E+00 2.9374E-02 7.7617E-01 0.3712 0.7624 0.6806 3.7845E-02 5 8.75 10.00 4.6963E-02 5.6145E-01 6.0842E-01 1.6698E-02 4.0477E-01 0.3556 0.7209 0.6378 4.1253E-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 0.03250 0.07877 0.07601 0.04592 0.10648 0.10839 0.09340 5.000 5.010 5.005 0.08553 0.10848 0.10682 0.09900 0.12510 0.12613 0.11988 10.000 10.010 10.005 0.11836 0.12711 0.12644 0.12355 0.13416 0.13462 0.13212 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 4.96885E-03 7.88459E-03 1.28534E-02 3.51598E-03 0.075502 9 1 10.0 0.0 180.0 6.44370E-02 4.98280E-03 2.33131E-03 7.31411E-03 3.52585E-03 0.036180 9 4 10.0 45.0 135.0 7.07988E-02 4.98609E-03 2.70590E-03 7.69200E-03 3.52818E-03 0.038220 9 7 10.0 90.0 90.0 9.56551E-02 5.04015E-03 5.67898E-03 1.07191E-02 3.56644E-03 0.059369 8 1 20.0 0.0 180.0 5.06144E-02 5.03071E-03 1.23674E-03 6.26745E-03 3.55975E-03 0.024435 8 4 20.0 45.0 135.0 5.63474E-02 5.01977E-03 1.45830E-03 6.47807E-03 3.55201E-03 0.025880 8 7 20.0 90.0 90.0 8.28562E-02 5.12242E-03 3.31978E-03 8.44220E-03 3.62465E-03 0.040067 7 1 30.0 0.0 180.0 4.38854E-02 5.12508E-03 1.05642E-03 6.18150E-03 3.62653E-03 0.024072 7 4 30.0 45.0 135.0 4.86557E-02 5.17235E-03 1.18680E-03 6.35916E-03 3.65998E-03 0.024392 7 7 30.0 90.0 90.0 7.09468E-02 5.29696E-03 2.05593E-03 7.35289E-03 3.74815E-03 0.028978 6 1 40.0 0.0 180.0 4.16555E-02 5.23489E-03 1.17461E-03 6.40950E-03 3.70423E-03 0.028198 6 4 40.0 45.0 135.0 4.55481E-02 5.29565E-03 1.27394E-03 6.56959E-03 3.74723E-03 0.027969 6 7 40.0 90.0 90.0 6.39488E-02 5.49335E-03 1.84625E-03 7.33960E-03 3.88712E-03 0.028871 5 1 50.0 0.0 180.0 4.36744E-02 5.38250E-03 1.85549E-03 7.23799E-03 3.80868E-03 0.042485 5 4 50.0 45.0 135.0 4.65410E-02 5.43136E-03 1.93308E-03 7.36444E-03 3.84326E-03 0.041535 5 7 50.0 90.0 90.0 6.18645E-02 5.69926E-03 2.49910E-03 8.19836E-03 4.03282E-03 0.040396 4 1 60.0 0.0 180.0 5.18422E-02 5.38759E-03 4.32243E-03 9.71001E-03 3.81228E-03 0.083377 4 4 60.0 45.0 135.0 5.30155E-02 5.44319E-03 4.26832E-03 9.71151E-03 3.85162E-03 0.080511 4 7 60.0 90.0 90.0 6.54672E-02 5.83515E-03 4.98443E-03 1.08196E-02 4.12898E-03 0.076136 3 1 70.0 0.0 180.0 7.19315E-02 5.08205E-03 1.19397E-02 1.70217E-02 3.59608E-03 0.165987 3 4 70.0 45.0 135.0 6.99069E-02 5.20134E-03 1.14882E-02 1.66895E-02 3.68049E-03 0.164336 3 7 70.0 90.0 90.0 7.81542E-02 5.62528E-03 1.24929E-02 1.81182E-02 3.98047E-03 0.159849 2 1 80.0 0.0 180.0 1.22213E-01 4.41409E-03 2.96785E-02 3.40926E-02 3.12343E-03 0.242843 2 4 80.0 45.0 135.0 1.13166E-01 4.51478E-03 2.87053E-02 3.32201E-02 3.19468E-03 0.253655 2 7 80.0 90.0 90.0 1.12432E-01 4.91601E-03 3.00622E-02 3.49783E-02 3.47859E-03 0.267382 1 1 87.5 0.0 180.0 1.97595E-01 3.59584E-03 5.23422E-02 5.59380E-02 2.54443E-03 0.264896 1 4 87.5 45.0 135.0 1.77910E-01 3.50495E-03 5.20190E-02 5.55240E-02 2.48012E-03 0.292389 1 7 87.5 90.0 90.0 1.61859E-01 4.24459E-03 5.32381E-02 5.74826E-02 3.00349E-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 1.285E-02 1.044E-01 1.268E-01 1.097E-01 1.643E-01 9.095E-03 5.015E+00 4.969E-03 3.516E-03 1 0.00 0.00 9.210E-03 1.944E-01 1.849E-02 2.320E-02 3.573E-02 6.620E-03 4.607E+00 3 4.38 5.00 5.365E-03 5.052E-01 1.558E-02 2.350E-02 4.588E-02 6.912E-03 5.475E+00 5 8.75 10.00 2.846E-03 2.943E-01 1.066E-02 1.609E-02 2.829E-02 7.032E-03 5.866E+00 Waveband 22 of 40 completed in 4.4 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 32.6 m at 575.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 570.0 nm to 580.0 nm: Ed(diffuse) = 3.835E-01 Ed(direct) = 1.031E+00 Ed(total) = 1.415E+00 Absorption Coefficients of Individual Components at 575.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0772 0.0176 0.0000 0.0027 0.0975 3 4.432 5.000 0.0772 0.0176 0.0000 0.0027 0.0975 5 8.864 10.000 0.0772 0.0176 0.0000 0.0027 0.0975 Scattering Coefficients of Individual Components at 575.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0016 0.2757 0.5116 0.0000 0.7889 3 4.432 5.000 0.0016 0.2757 0.5116 0.0000 0.7889 5 8.864 10.000 0.0016 0.2757 0.5116 0.0000 0.7889 Backscattering Coefficients of Individual Components at 575.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00079 0.00387 0.00090 0.00000 0.00556 3 4.432 5.000 0.00079 0.00387 0.00090 0.00000 0.00556 5 8.864 10.000 0.00079 0.00387 0.00090 0.00000 0.00556 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 0.0975 0.7889 0.8864 0.8900 0.00556 0.00704 3 4.432 5.000 0.0975 0.7889 0.8864 0.8900 0.00556 0.00704 5 8.864 10.000 0.0975 0.7889 0.8864 0.8900 0.00556 0.00704 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5383E-01 8 20.00 8.3923E-01 7 30.00 6.8268E-01 6 40.00 5.1706E-01 5 50.00 3.6834E-01 4 60.00 2.5005E-01 3 70.00 1.6433E-01 2 80.00 1.0690E-01 1 87.50 7.6546E-02 1 92.50 5.9521E-02 2 100.00 4.3144E-02 3 110.00 2.9537E-02 4 120.00 2.1057E-02 5 130.00 1.5863E-02 6 140.00 1.2691E-02 7 150.00 1.0765E-02 8 160.00 9.6329E-03 9 170.00 9.0367E-03 10 180.00 8.8317E-03 Asymptotic AOP values are MUu(inf) = 0.3400 MUd(inf) = 0.7004 MU(inf) = 0.6264 R(inf) = 0.0372 Lu(inf)/Ed(inf) = 0.005920 (1/sr) k(inf) = 0.1557 (1/m) absorp(check) = 0.0975 = 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 1.6212E-01 1.9664E+00 2.1285E+00 6.1771E-02 1.4148E+00 0.3810 0.7195 0.6357 4.3660E-02 1 0.00 0.00 8.7575E-02 1.5923E+00 1.6799E+00 3.6367E-02 1.3894E+00 0.4153 0.8726 0.8054 2.6174E-02 3 4.43 5.00 6.4709E-02 9.4466E-01 1.0094E+00 2.3717E-02 7.2529E-01 0.3665 0.7678 0.6951 3.2700E-02 5 8.86 10.00 3.5799E-02 4.8448E-01 5.2028E-01 1.2581E-02 3.5276E-01 0.3514 0.7281 0.6538 3.5665E-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 0.03390 0.08863 0.08578 0.05355 0.11888 0.12064 0.10484 5.000 5.010 5.005 0.09920 0.12296 0.12144 0.11251 0.13889 0.13978 0.13312 10.000 10.010 10.005 0.13258 0.14158 0.14096 0.13753 0.14818 0.14857 0.14566 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 4.23304E-03 7.88652E-03 1.21196E-02 2.99189E-03 0.076220 9 1 10.0 0.0 180.0 6.38454E-02 4.25124E-03 2.31989E-03 6.57112E-03 3.00475E-03 0.036336 9 4 10.0 45.0 135.0 7.01489E-02 4.25172E-03 2.69390E-03 6.94562E-03 3.00509E-03 0.038403 9 7 10.0 90.0 90.0 9.47770E-02 4.29228E-03 5.67282E-03 9.96510E-03 3.03376E-03 0.059854 8 1 20.0 0.0 180.0 5.01497E-02 4.29422E-03 1.22589E-03 5.52011E-03 3.03513E-03 0.024445 8 4 20.0 45.0 135.0 5.58301E-02 4.28098E-03 1.44622E-03 5.72720E-03 3.02578E-03 0.025904 8 7 20.0 90.0 90.0 8.20955E-02 4.35964E-03 3.30679E-03 7.66643E-03 3.08137E-03 0.040280 7 1 30.0 0.0 180.0 4.34825E-02 4.37582E-03 1.04672E-03 5.42254E-03 3.09281E-03 0.024072 7 4 30.0 45.0 135.0 4.82094E-02 4.41078E-03 1.17597E-03 5.58676E-03 3.11752E-03 0.024393 7 7 30.0 90.0 90.0 7.02931E-02 4.50506E-03 2.04050E-03 6.54556E-03 3.18415E-03 0.029028 6 1 40.0 0.0 180.0 4.12731E-02 4.46949E-03 1.16383E-03 5.63331E-03 3.15901E-03 0.028198 6 4 40.0 45.0 135.0 4.51299E-02 4.51455E-03 1.26225E-03 5.77680E-03 3.19086E-03 0.027969 6 7 40.0 90.0 90.0 6.33617E-02 4.66809E-03 1.82952E-03 6.49761E-03 3.29938E-03 0.028874 5 1 50.0 0.0 180.0 4.32735E-02 4.59578E-03 1.83845E-03 6.43424E-03 3.24827E-03 0.042485 5 4 50.0 45.0 135.0 4.61137E-02 4.62986E-03 1.91533E-03 6.54519E-03 3.27236E-03 0.041535 5 7 50.0 90.0 90.0 6.12966E-02 4.84196E-03 2.47616E-03 7.31812E-03 3.42227E-03 0.040396 4 1 60.0 0.0 180.0 5.13663E-02 4.60092E-03 4.28275E-03 8.88367E-03 3.25191E-03 0.083377 4 4 60.0 45.0 135.0 5.25288E-02 4.64032E-03 4.22913E-03 8.86945E-03 3.27975E-03 0.080511 4 7 60.0 90.0 90.0 6.48662E-02 4.95787E-03 4.93867E-03 9.89653E-03 3.50419E-03 0.076136 3 1 70.0 0.0 180.0 7.12711E-02 4.34254E-03 1.18301E-02 1.61726E-02 3.06928E-03 0.165987 3 4 70.0 45.0 135.0 6.92651E-02 4.43684E-03 1.13827E-02 1.58196E-02 3.13594E-03 0.164336 3 7 70.0 90.0 90.0 7.74367E-02 4.78401E-03 1.23782E-02 1.71622E-02 3.38131E-03 0.159849 2 1 80.0 0.0 180.0 1.21091E-01 3.77468E-03 2.94061E-02 3.31807E-02 2.66792E-03 0.242843 2 4 80.0 45.0 135.0 1.12128E-01 3.85446E-03 2.84418E-02 3.22962E-02 2.72431E-03 0.253655 2 7 80.0 90.0 90.0 1.11400E-01 4.18588E-03 2.97863E-02 3.39721E-02 2.95856E-03 0.267382 1 1 87.5 0.0 180.0 1.95781E-01 3.07851E-03 5.18617E-02 5.49402E-02 2.17588E-03 0.264896 1 4 87.5 45.0 135.0 1.76277E-01 2.99610E-03 5.15415E-02 5.45376E-02 2.11763E-03 0.292389 1 7 87.5 90.0 90.0 1.60373E-01 3.62085E-03 5.27493E-02 5.63702E-02 2.55920E-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 1.212E-02 1.035E-01 1.254E-01 1.084E-01 1.625E-01 8.566E-03 5.097E+00 4.233E-03 2.992E-03 1 0.00 0.00 7.846E-03 1.926E-01 1.607E-02 2.023E-02 3.165E-02 5.647E-03 4.635E+00 3 4.43 5.00 4.292E-03 4.769E-01 1.301E-02 1.981E-02 3.924E-02 5.917E-03 5.526E+00 5 8.86 10.00 2.129E-03 2.616E-01 8.307E-03 1.262E-02 2.237E-02 6.036E-03 5.909E+00 Waveband 23 of 40 completed in 4.6 sec. * * * * * Output for wavelength band 24 (580.0 to 590.0 nm; nominal wavelength = 585.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 31.8 m at 585.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 580.0 nm to 590.0 nm: Ed(diffuse) = 3.707E-01 Ed(direct) = 1.010E+00 Ed(total) = 1.381E+00 Absorption Coefficients of Individual Components at 585.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1100 0.0176 0.0000 0.0023 0.1299 3 4.594 5.000 0.1100 0.0176 0.0000 0.0023 0.1299 5 9.188 10.000 0.1100 0.0176 0.0000 0.0023 0.1299 Scattering Coefficients of Individual Components at 585.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0015 0.2757 0.5116 0.0000 0.7888 3 4.594 5.000 0.0015 0.2757 0.5116 0.0000 0.7888 5 9.188 10.000 0.0015 0.2757 0.5116 0.0000 0.7888 Backscattering Coefficients of Individual Components at 585.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00073 0.00387 0.00090 0.00000 0.00550 3 4.594 5.000 0.00073 0.00387 0.00090 0.00000 0.00550 5 9.188 10.000 0.00073 0.00387 0.00090 0.00000 0.00550 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 0.1299 0.7888 0.9188 0.8586 0.00550 0.00697 3 4.594 5.000 0.1299 0.7888 0.9188 0.8586 0.00550 0.00697 5 9.188 10.000 0.1299 0.7888 0.9188 0.8586 0.00550 0.00697 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4631E-01 8 20.00 8.1505E-01 7 30.00 6.4097E-01 6 40.00 4.6443E-01 5 50.00 3.1403E-01 4 60.00 2.0141E-01 3 70.00 1.2492E-01 2 80.00 7.6929E-02 1 87.50 5.3064E-02 1 92.50 4.0302E-02 2 100.00 2.8418E-02 3 110.00 1.8936E-02 4 120.00 1.3283E-02 5 130.00 9.9497E-03 6 140.00 7.9743E-03 7 150.00 6.8037E-03 8 160.00 6.1272E-03 9 170.00 5.7753E-03 10 180.00 5.6548E-03 Asymptotic AOP values are MUu(inf) = 0.3337 MUd(inf) = 0.7235 MU(inf) = 0.6672 R(inf) = 0.0260 Lu(inf)/Ed(inf) = 0.004152 (1/sr) k(inf) = 0.1948 (1/m) absorp(check) = 0.1299 = 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 1.4883E-01 1.9161E+00 2.0649E+00 5.5811E-02 1.3808E+00 0.3750 0.7207 0.6417 4.0419E-02 1 0.00 0.00 6.1572E-02 1.5342E+00 1.5957E+00 2.5120E-02 1.3501E+00 0.4080 0.8800 0.8303 1.8606E-02 3 4.59 5.00 3.8146E-02 7.4691E-01 7.8505E-01 1.3654E-02 5.8250E-01 0.3579 0.7799 0.7246 2.3441E-02 5 9.19 10.00 1.7238E-02 3.1204E-01 3.2927E-01 5.9456E-03 2.3250E-01 0.3449 0.7451 0.6881 2.5572E-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 0.04347 0.11984 0.11689 0.07943 0.15469 0.15612 0.13880 5.000 5.010 5.005 0.13953 0.16404 0.16285 0.15191 0.17814 0.17877 0.17071 10.000 10.010 10.005 0.17278 0.18233 0.18183 0.17678 0.18780 0.18809 0.18292 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 585.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.00019E-01 2.91357E-03 7.69050E-03 1.06041E-02 2.11004E-03 0.076891 9 1 10.0 0.0 180.0 6.17156E-02 2.93839E-03 2.25150E-03 5.18989E-03 2.12802E-03 0.036482 9 4 10.0 45.0 135.0 6.78088E-02 2.93416E-03 2.61562E-03 5.54977E-03 2.12496E-03 0.038573 9 7 10.0 90.0 90.0 9.16153E-02 2.95105E-03 5.52507E-03 8.47612E-03 2.13719E-03 0.060307 8 1 20.0 0.0 180.0 4.84768E-02 2.97156E-03 1.18545E-03 4.15701E-03 2.15205E-03 0.024454 8 4 20.0 45.0 135.0 5.39677E-02 2.95479E-03 1.39915E-03 4.35394E-03 2.13990E-03 0.025926 8 7 20.0 90.0 90.0 7.93569E-02 2.99103E-03 3.21226E-03 6.20329E-03 2.16614E-03 0.040479 7 1 30.0 0.0 180.0 4.20320E-02 3.02908E-03 1.01180E-03 4.04088E-03 2.19370E-03 0.024072 7 4 30.0 45.0 135.0 4.66016E-02 3.04270E-03 1.13680E-03 4.17950E-03 2.20357E-03 0.024394 7 7 30.0 90.0 90.0 6.79461E-02 3.08299E-03 1.97553E-03 5.05852E-03 2.23274E-03 0.029075 6 1 40.0 0.0 180.0 3.98963E-02 3.09166E-03 1.12500E-03 4.21666E-03 2.23902E-03 0.028198 6 4 40.0 45.0 135.0 4.36245E-02 3.10927E-03 1.22014E-03 4.32941E-03 2.25177E-03 0.027969 6 7 40.0 90.0 90.0 6.12481E-02 3.18291E-03 1.76869E-03 4.95160E-03 2.30511E-03 0.028878 5 1 50.0 0.0 180.0 4.18299E-02 3.17659E-03 1.77713E-03 4.95371E-03 2.30053E-03 0.042485 5 4 50.0 45.0 135.0 4.45754E-02 3.18455E-03 1.85144E-03 5.03599E-03 2.30629E-03 0.041535 5 7 50.0 90.0 90.0 5.92518E-02 3.29394E-03 2.39356E-03 5.68750E-03 2.38552E-03 0.040396 4 1 60.0 0.0 180.0 4.96528E-02 3.17829E-03 4.13988E-03 7.31817E-03 2.30176E-03 0.083377 4 4 60.0 45.0 135.0 5.07765E-02 3.18861E-03 4.08806E-03 7.27666E-03 2.30923E-03 0.080511 4 7 60.0 90.0 90.0 6.27023E-02 3.36755E-03 4.77392E-03 8.14147E-03 2.43883E-03 0.076136 3 1 70.0 0.0 180.0 6.88936E-02 3.00025E-03 1.14355E-02 1.44357E-02 2.17282E-03 0.165987 3 4 70.0 45.0 135.0 6.69545E-02 3.04887E-03 1.10030E-02 1.40519E-02 2.20803E-03 0.164336 3 7 70.0 90.0 90.0 7.48536E-02 3.25007E-03 1.19653E-02 1.52153E-02 2.35375E-03 0.159849 2 1 80.0 0.0 180.0 1.17051E-01 2.60976E-03 2.84251E-02 3.10349E-02 1.89002E-03 0.242843 2 4 80.0 45.0 135.0 1.08387E-01 2.65058E-03 2.74930E-02 3.01436E-02 1.91959E-03 0.253655 2 7 80.0 90.0 90.0 1.07684E-01 2.84703E-03 2.87926E-02 3.16397E-02 2.06186E-03 0.267382 1 1 87.5 0.0 180.0 1.89250E-01 2.13200E-03 5.01317E-02 5.22637E-02 1.54402E-03 0.264896 1 4 87.5 45.0 135.0 1.70397E-01 2.06410E-03 4.98221E-02 5.18862E-02 1.49485E-03 0.292389 1 7 87.5 90.0 90.0 1.55023E-01 2.46973E-03 5.09897E-02 5.34594E-02 1.78861E-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 1.060E-02 1.000E-01 1.208E-01 1.042E-01 1.564E-01 7.680E-03 5.263E+00 2.914E-03 2.110E-03 1 0.00 0.00 5.401E-03 1.861E-01 1.152E-02 1.453E-02 2.340E-02 4.001E-03 4.651E+00 3 4.59 5.00 2.462E-03 3.930E-01 8.060E-03 1.244E-02 2.526E-02 4.226E-03 5.547E+00 5 9.19 10.00 1.012E-03 1.811E-01 4.208E-03 6.424E-03 1.151E-02 4.354E-03 5.873E+00 Waveband 24 of 40 completed in 4.7 sec. * * * * * Output for wavelength band 25 (590.0 to 600.0 nm; nominal wavelength = 595.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 30.5 m at 595.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 590.0 nm to 600.0 nm: Ed(diffuse) = 3.536E-01 Ed(direct) = 9.762E-01 Ed(total) = 1.330E+00 Absorption Coefficients of Individual Components at 595.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1672 0.0171 0.0000 0.0020 0.1863 3 4.875 5.000 0.1672 0.0171 0.0000 0.0020 0.1863 5 9.751 10.000 0.1672 0.0171 0.0000 0.0020 0.1863 Scattering Coefficients of Individual Components at 595.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0014 0.2757 0.5116 0.0000 0.7887 3 4.875 5.000 0.0014 0.2757 0.5116 0.0000 0.7887 5 9.751 10.000 0.0014 0.2757 0.5116 0.0000 0.7887 Backscattering Coefficients of Individual Components at 595.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00068 0.00387 0.00090 0.00000 0.00545 3 4.875 5.000 0.00068 0.00387 0.00090 0.00000 0.00545 5 9.751 10.000 0.00068 0.00387 0.00090 0.00000 0.00545 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 0.1863 0.7887 0.9751 0.8089 0.00545 0.00691 3 4.875 5.000 0.1863 0.7887 0.9751 0.8089 0.00545 0.00691 5 9.751 10.000 0.1863 0.7887 0.9751 0.8089 0.00545 0.00691 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3492E-01 8 20.00 7.7945E-01 7 30.00 5.8242E-01 6 40.00 3.9499E-01 5 50.00 2.4743E-01 4 60.00 1.4633E-01 3 70.00 8.3790E-02 2 80.00 4.7990E-02 1 87.50 3.1600E-02 1 92.50 2.3378E-02 2 100.00 1.6015E-02 3 110.00 1.0409E-02 4 120.00 7.2332E-03 5 130.00 5.4358E-03 6 140.00 4.4039E-03 7 150.00 3.8070E-03 8 160.00 3.4680E-03 9 170.00 3.2939E-03 10 180.00 3.2344E-03 Asymptotic AOP values are MUu(inf) = 0.3301 MUd(inf) = 0.7537 MU(inf) = 0.7147 R(inf) = 0.0163 Lu(inf)/Ed(inf) = 0.002695 (1/sr) k(inf) = 0.2607 (1/m) absorp(check) = 0.1863 = 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 1.3581E-01 1.8424E+00 1.9782E+00 5.0214E-02 1.3298E+00 0.3697 0.7218 0.6468 3.7760E-02 1 0.00 0.00 3.9578E-02 1.4610E+00 1.5006E+00 1.5834E-02 1.2954E+00 0.4001 0.8867 0.8527 1.2223E-02 3 4.88 5.00 1.7713E-02 5.0618E-01 5.2390E-01 6.2275E-03 4.0253E-01 0.3516 0.7952 0.7564 1.5471E-02 5 9.75 10.00 5.7244E-03 1.4968E-01 1.5541E-01 1.9665E-03 1.1485E-01 0.3435 0.7673 0.7264 1.7122E-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 0.07306 0.17853 0.17575 0.13064 0.21712 0.21819 0.19837 5.000 5.010 5.005 0.20857 0.23362 0.23277 0.21839 0.24517 0.24559 0.23212 10.000 10.010 10.005 0.23738 0.25075 0.25026 0.23834 0.25481 0.25510 0.23809 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 595.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 9.54262E-02 1.84789E-03 7.40045E-03 9.24834E-03 1.38961E-03 0.077552 9 1 10.0 0.0 180.0 5.88819E-02 1.87266E-03 2.15659E-03 4.02924E-03 1.40823E-03 0.036626 9 4 10.0 45.0 135.0 6.46953E-02 1.86656E-03 2.50641E-03 4.37297E-03 1.40365E-03 0.038742 9 7 10.0 90.0 90.0 8.74087E-02 1.86892E-03 5.31041E-03 7.17933E-03 1.40542E-03 0.060754 8 1 20.0 0.0 180.0 4.62509E-02 1.89589E-03 1.13145E-03 3.02734E-03 1.42571E-03 0.024463 8 4 20.0 45.0 135.0 5.14897E-02 1.87948E-03 1.33602E-03 3.21550E-03 1.41337E-03 0.025947 8 7 20.0 90.0 90.0 7.57132E-02 1.88876E-03 3.07961E-03 4.96837E-03 1.42034E-03 0.040675 7 1 30.0 0.0 180.0 4.01020E-02 1.93261E-03 9.65346E-04 2.89796E-03 1.45332E-03 0.024072 7 4 30.0 45.0 135.0 4.44621E-02 1.93334E-03 1.08466E-03 3.01800E-03 1.45387E-03 0.024395 7 7 30.0 90.0 90.0 6.48243E-02 1.93982E-03 1.88774E-03 3.82756E-03 1.45874E-03 0.029121 6 1 40.0 0.0 180.0 3.80644E-02 1.96927E-03 1.07335E-03 3.04261E-03 1.48088E-03 0.028198 6 4 40.0 45.0 135.0 4.16214E-02 1.97019E-03 1.16411E-03 3.13430E-03 1.48158E-03 0.027969 6 7 40.0 90.0 90.0 5.84358E-02 1.99149E-03 1.68767E-03 3.67917E-03 1.49760E-03 0.028881 5 1 50.0 0.0 180.0 3.99093E-02 2.01947E-03 1.69553E-03 3.71499E-03 1.51863E-03 0.042485 5 4 50.0 45.0 135.0 4.25287E-02 2.01251E-03 1.76643E-03 3.77894E-03 1.51341E-03 0.041535 5 7 50.0 90.0 90.0 5.65312E-02 2.05200E-03 2.28366E-03 4.33565E-03 1.54310E-03 0.040396 4 1 60.0 0.0 180.0 4.73729E-02 2.01685E-03 3.94979E-03 5.96664E-03 1.51667E-03 0.083377 4 4 60.0 45.0 135.0 4.84450E-02 2.01017E-03 3.90035E-03 5.91052E-03 1.51164E-03 0.080511 4 7 60.0 90.0 90.0 5.98232E-02 2.09021E-03 4.55472E-03 6.64493E-03 1.57183E-03 0.076136 3 1 70.0 0.0 180.0 6.57303E-02 1.90133E-03 1.09104E-02 1.28117E-02 1.42980E-03 0.165987 3 4 70.0 45.0 135.0 6.38802E-02 1.91892E-03 1.04978E-02 1.24167E-02 1.44302E-03 0.164336 3 7 70.0 90.0 90.0 7.14166E-02 2.01306E-03 1.14159E-02 1.34289E-02 1.51382E-03 0.159849 2 1 80.0 0.0 180.0 1.11677E-01 1.65289E-03 2.71199E-02 2.87728E-02 1.24297E-03 0.242843 2 4 80.0 45.0 135.0 1.03410E-01 1.66703E-03 2.62306E-02 2.78976E-02 1.25360E-03 0.253655 2 7 80.0 90.0 90.0 1.02739E-01 1.76223E-03 2.74706E-02 2.92328E-02 1.32519E-03 0.267382 1 1 87.5 0.0 180.0 1.80561E-01 1.35106E-03 4.78298E-02 4.91808E-02 1.01599E-03 0.264896 1 4 87.5 45.0 135.0 1.62573E-01 1.29902E-03 4.75345E-02 4.88335E-02 9.76862E-04 0.292389 1 7 87.5 90.0 90.0 1.47905E-01 1.53084E-03 4.86484E-02 5.01793E-02 1.15118E-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 9.248E-03 9.543E-02 1.149E-01 9.904E-02 1.487E-01 6.955E-03 5.429E+00 1.848E-03 1.390E-03 1 0.00 0.00 3.427E-03 1.776E-01 7.619E-03 9.603E-03 1.595E-02 2.645E-03 4.621E+00 3 4.88 5.00 1.147E-03 2.822E-01 3.955E-03 6.158E-03 1.275E-02 2.849E-03 5.431E+00 5 9.75 10.00 3.519E-04 9.614E-02 1.471E-03 2.230E-03 3.988E-03 3.064E-03 5.589E+00 Waveband 25 of 40 completed in 5.0 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 28.8 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 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2577 0.0165 0.0000 0.0018 0.2760 3 5.323 5.000 0.2577 0.0165 0.0000 0.0018 0.2760 5 10.646 10.000 0.2577 0.0165 0.0000 0.0018 0.2760 Scattering Coefficients of Individual Components at 605.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0013 0.2757 0.5116 0.0000 0.7886 3 5.323 5.000 0.0013 0.2757 0.5116 0.0000 0.7886 5 10.646 10.000 0.0013 0.2757 0.5116 0.0000 0.7886 Backscattering Coefficients of Individual Components at 605.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00063 0.00387 0.00090 0.00000 0.00540 3 5.323 5.000 0.00063 0.00387 0.00090 0.00000 0.00540 5 10.646 10.000 0.00063 0.00387 0.00090 0.00000 0.00540 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 0.2760 0.7886 1.0646 0.7408 0.00540 0.00685 3 5.323 5.000 0.2760 0.7886 1.0646 0.7408 0.00540 0.00685 5 10.646 10.000 0.2760 0.7886 1.0646 0.7408 0.00540 0.00685 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.1944E-01 8 20.00 7.3307E-01 7 30.00 5.1112E-01 6 40.00 3.1752E-01 5 50.00 1.8024E-01 4 60.00 9.6410E-02 3 70.00 5.0276E-02 2 80.00 2.6614E-02 1 87.50 1.6744E-02 1 92.50 1.2130E-02 2 100.00 8.1427E-03 3 110.00 5.2266E-03 4 120.00 3.6465E-03 5 130.00 2.7812E-03 6 140.00 2.2964E-03 7 150.00 2.0211E-03 8 160.00 1.8669E-03 9 170.00 1.7885E-03 10 180.00 1.7617E-03 Asymptotic AOP values are MUu(inf) = 0.3315 MUd(inf) = 0.7868 MU(inf) = 0.7614 R(inf) = 0.0098 Lu(inf)/Ed(inf) = 0.001710 (1/sr) k(inf) = 0.3625 (1/m) absorp(check) = 0.2760 = 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 1.3406E-01 1.8895E+00 2.0235E+00 4.9084E-02 1.3657E+00 0.3661 0.7228 0.6506 3.5942E-02 1 0.00 0.00 2.6347E-02 1.4884E+00 1.5148E+00 1.0351E-02 1.3269E+00 0.3929 0.8915 0.8692 7.8005E-03 3 5.32 5.00 6.9851E-03 3.0295E-01 3.0994E-01 2.4533E-03 2.4612E-01 0.3512 0.8124 0.7862 9.9677E-03 5 10.65 10.00 1.4206E-03 5.2717E-02 5.4137E-02 5.0746E-04 4.1749E-02 0.3572 0.7920 0.7618 1.2155E-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 0.14016 0.27600 0.27363 0.21993 0.31651 0.31727 0.29374 5.000 5.010 5.005 0.31167 0.34092 0.34027 0.31567 0.34960 0.34994 0.31840 10.000 10.010 10.005 0.31669 0.35523 0.35422 0.30686 0.35805 0.35868 0.28774 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 605.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 9.71580E-02 1.22290E-03 7.59453E-03 8.81743E-03 8.95466E-04 0.078167 9 1 10.0 0.0 180.0 5.99505E-02 1.24435E-03 2.20375E-03 3.44810E-03 9.11172E-04 0.036759 9 4 10.0 45.0 135.0 6.58694E-02 1.23838E-03 2.56222E-03 3.80060E-03 9.06795E-04 0.038899 9 7 10.0 90.0 90.0 8.89950E-02 1.23516E-03 5.44376E-03 6.67892E-03 9.04441E-04 0.061169 8 1 20.0 0.0 180.0 4.70903E-02 1.26085E-03 1.15239E-03 2.41323E-03 9.23250E-04 0.024472 8 4 20.0 45.0 135.0 5.24241E-02 1.24665E-03 1.36131E-03 2.60797E-03 9.12856E-04 0.025967 8 7 20.0 90.0 90.0 7.70872E-02 1.24488E-03 3.14956E-03 4.39444E-03 9.11554E-04 0.040857 7 1 30.0 0.0 180.0 4.08298E-02 1.28505E-03 9.82865E-04 2.26791E-03 9.40971E-04 0.024072 7 4 30.0 45.0 135.0 4.52693E-02 1.28092E-03 1.10439E-03 2.38531E-03 9.37945E-04 0.024396 7 7 30.0 90.0 90.0 6.59988E-02 1.27408E-03 1.92477E-03 3.19885E-03 9.32941E-04 0.029164 6 1 40.0 0.0 180.0 3.87552E-02 1.30692E-03 1.09282E-03 2.39974E-03 9.56986E-04 0.028198 6 4 40.0 45.0 135.0 4.23767E-02 1.30157E-03 1.18524E-03 2.48681E-03 9.53068E-04 0.027969 6 7 40.0 90.0 90.0 5.94963E-02 1.30063E-03 1.71848E-03 3.01911E-03 9.52377E-04 0.028884 5 1 50.0 0.0 180.0 4.06335E-02 1.33712E-03 1.72630E-03 3.06342E-03 9.79101E-04 0.042485 5 4 50.0 45.0 135.0 4.33005E-02 1.32547E-03 1.79848E-03 3.12396E-03 9.70572E-04 0.041535 5 7 50.0 90.0 90.0 5.75571E-02 1.33355E-03 2.32510E-03 3.65865E-03 9.76486E-04 0.040396 4 1 60.0 0.0 180.0 4.82326E-02 1.33224E-03 4.02147E-03 5.35371E-03 9.75528E-04 0.083377 4 4 60.0 45.0 135.0 4.93242E-02 1.31998E-03 3.97113E-03 5.29111E-03 9.66547E-04 0.080511 4 7 60.0 90.0 90.0 6.09089E-02 1.35231E-03 4.63738E-03 5.98969E-03 9.90220E-04 0.076136 3 1 70.0 0.0 180.0 6.69231E-02 1.25310E-03 1.11084E-02 1.23615E-02 9.17575E-04 0.165987 3 4 70.0 45.0 135.0 6.50395E-02 1.25670E-03 1.06883E-02 1.19450E-02 9.20209E-04 0.164336 3 7 70.0 90.0 90.0 7.27126E-02 1.29765E-03 1.16230E-02 1.29207E-02 9.50199E-04 0.159849 2 1 80.0 0.0 180.0 1.13703E-01 1.08763E-03 2.76121E-02 2.86998E-02 7.96415E-04 0.242843 2 4 80.0 45.0 135.0 1.05287E-01 1.08971E-03 2.67066E-02 2.77964E-02 7.97938E-04 0.253655 2 7 80.0 90.0 90.0 1.04604E-01 1.13340E-03 2.79691E-02 2.91025E-02 8.29924E-04 0.267382 1 1 87.5 0.0 180.0 1.83838E-01 8.88461E-04 4.86978E-02 4.95863E-02 6.50571E-04 0.264896 1 4 87.5 45.0 135.0 1.65523E-01 8.48615E-04 4.83971E-02 4.92458E-02 6.21394E-04 0.292389 1 7 87.5 90.0 90.0 1.50590E-01 9.84121E-04 4.95313E-02 5.05154E-02 7.20618E-04 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 605.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 8.817E-03 9.716E-02 1.167E-01 1.006E-01 1.510E-01 6.457E-03 5.567E+00 1.223E-03 8.955E-04 1 0.00 0.00 2.268E-03 1.808E-01 5.248E-03 6.610E-03 1.130E-02 1.709E-03 4.563E+00 3 5.32 5.00 4.752E-04 1.818E-01 1.626E-03 2.530E-03 5.267E-03 1.931E-03 5.163E+00 5 10.65 10.00 1.028E-04 3.842E-02 3.715E-04 5.437E-04 9.417E-04 2.463E-03 4.934E+00 Waveband 26 of 40 completed in 5.4 sec. * * * * * Output for wavelength band 27 (610.0 to 620.0 nm; nominal wavelength = 615.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 28.6 m at 615.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 610.0 nm to 620.0 nm: Ed(diffuse) = 3.486E-01 Ed(direct) = 9.845E-01 Ed(total) = 1.333E+00 Absorption Coefficients of Individual Components at 615.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2678 0.0176 0.0000 0.0015 0.2869 3 5.377 5.000 0.2678 0.0176 0.0000 0.0015 0.2869 5 10.754 10.000 0.2678 0.0176 0.0000 0.0015 0.2869 Scattering Coefficients of Individual Components at 615.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0012 0.2757 0.5116 0.0000 0.7885 3 5.377 5.000 0.0012 0.2757 0.5116 0.0000 0.7885 5 10.754 10.000 0.0012 0.2757 0.5116 0.0000 0.7885 Backscattering Coefficients of Individual Components at 615.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00059 0.00387 0.00090 0.00000 0.00536 3 5.377 5.000 0.00059 0.00387 0.00090 0.00000 0.00536 5 10.754 10.000 0.00059 0.00387 0.00090 0.00000 0.00536 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 0.2869 0.7885 1.0754 0.7332 0.00536 0.00679 3 5.377 5.000 0.2869 0.7885 1.0754 0.7332 0.00536 0.00679 5 10.754 10.000 0.2869 0.7885 1.0754 0.7332 0.00536 0.00679 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.1772E-01 8 20.00 7.2802E-01 7 30.00 5.0369E-01 6 40.00 3.0989E-01 5 50.00 1.7404E-01 4 60.00 9.2107E-02 3 70.00 4.7571E-02 2 80.00 2.4985E-02 1 87.50 1.5650E-02 1 92.50 1.1315E-02 2 100.00 7.5811E-03 3 110.00 4.8591E-03 4 120.00 3.3898E-03 5 130.00 2.5873E-03 6 140.00 2.1386E-03 7 150.00 1.8841E-03 8 160.00 1.7417E-03 9 170.00 1.6694E-03 10 180.00 1.6447E-03 Asymptotic AOP values are MUu(inf) = 0.3314 MUd(inf) = 0.7900 MU(inf) = 0.7658 R(inf) = 0.0093 Lu(inf)/Ed(inf) = 0.001623 (1/sr) k(inf) = 0.3746 (1/m) absorp(check) = 0.2869 = 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 1.2976E-01 1.8420E+00 1.9718E+00 4.7591E-02 1.3331E+00 0.3667 0.7237 0.6520 3.5699E-02 1 0.00 0.00 2.4468E-02 1.4517E+00 1.4762E+00 9.5830E-03 1.2951E+00 0.3916 0.8921 0.8708 7.3995E-03 3 5.38 5.00 6.0857E-03 2.7732E-01 2.8340E-01 2.1332E-03 2.2582E-01 0.3505 0.8143 0.7893 9.4468E-03 5 10.75 10.00 1.1689E-03 4.5304E-02 4.6473E-02 4.1829E-04 3.5997E-02 0.3578 0.7946 0.7656 1.1620E-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 0.14821 0.28784 0.28553 0.23081 0.32848 0.32921 0.30576 5.000 5.010 5.005 0.32433 0.35368 0.35305 0.32788 0.36208 0.36241 0.32982 10.000 10.010 10.005 0.32635 0.36770 0.36666 0.31539 0.37039 0.37104 0.29444 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 1.12995E-03 7.40839E-03 8.53835E-03 8.47609E-04 0.078756 9 1 10.0 0.0 180.0 5.80437E-02 1.14991E-03 2.14110E-03 3.29101E-03 8.62579E-04 0.036888 9 4 10.0 45.0 135.0 6.37743E-02 1.14433E-03 2.49030E-03 3.63463E-03 8.58394E-04 0.039049 9 7 10.0 90.0 90.0 8.61644E-02 1.14124E-03 5.30490E-03 6.44614E-03 8.56076E-04 0.061567 8 1 20.0 0.0 180.0 4.55925E-02 1.16521E-03 1.11611E-03 2.28132E-03 8.74053E-04 0.024480 8 4 20.0 45.0 135.0 5.07567E-02 1.15198E-03 1.31899E-03 2.47097E-03 8.64133E-04 0.025986 8 7 20.0 90.0 90.0 7.46354E-02 1.15014E-03 3.06243E-03 4.21257E-03 8.62754E-04 0.041032 7 1 30.0 0.0 180.0 3.95312E-02 1.18759E-03 9.51604E-04 2.13920E-03 8.90846E-04 0.024072 7 4 30.0 45.0 135.0 4.38298E-02 1.18362E-03 1.06931E-03 2.25293E-03 8.87867E-04 0.024397 7 7 30.0 90.0 90.0 6.38979E-02 1.17704E-03 1.86611E-03 3.04315E-03 8.82930E-04 0.029205 6 1 40.0 0.0 180.0 3.75225E-02 1.20776E-03 1.05807E-03 2.26583E-03 9.05973E-04 0.028198 6 4 40.0 45.0 135.0 4.10289E-02 1.20265E-03 1.14754E-03 2.35019E-03 9.02137E-04 0.027969 6 7 40.0 90.0 90.0 5.76039E-02 1.20144E-03 1.66399E-03 2.86543E-03 9.01234E-04 0.028887 5 1 50.0 0.0 180.0 3.93411E-02 1.23564E-03 1.67139E-03 2.90703E-03 9.26886E-04 0.042485 5 4 50.0 45.0 135.0 4.19233E-02 1.22469E-03 1.74128E-03 2.96597E-03 9.18675E-04 0.041535 5 7 50.0 90.0 90.0 5.57265E-02 1.23182E-03 2.25115E-03 3.48297E-03 9.24018E-04 0.040396 4 1 60.0 0.0 180.0 4.66985E-02 1.23112E-03 3.89357E-03 5.12468E-03 9.23495E-04 0.083377 4 4 60.0 45.0 135.0 4.77554E-02 1.21960E-03 3.84482E-03 5.06442E-03 9.14854E-04 0.080511 4 7 60.0 90.0 90.0 5.89717E-02 1.24915E-03 4.48988E-03 5.73903E-03 9.37021E-04 0.076136 3 1 70.0 0.0 180.0 6.47946E-02 1.15803E-03 1.07551E-02 1.19131E-02 8.68673E-04 0.165987 3 4 70.0 45.0 135.0 6.29709E-02 1.16120E-03 1.03484E-02 1.15096E-02 8.71048E-04 0.164336 3 7 70.0 90.0 90.0 7.03999E-02 1.19881E-03 1.12534E-02 1.24522E-02 8.99260E-04 0.159849 2 1 80.0 0.0 180.0 1.10087E-01 1.00521E-03 2.67339E-02 2.77391E-02 7.54038E-04 0.242843 2 4 80.0 45.0 135.0 1.01938E-01 1.00702E-03 2.58572E-02 2.68642E-02 7.55395E-04 0.253655 2 7 80.0 90.0 90.0 1.01277E-01 1.04726E-03 2.70795E-02 2.81268E-02 7.85579E-04 0.267382 1 1 87.5 0.0 180.0 1.77990E-01 8.21278E-04 4.71489E-02 4.79702E-02 6.16062E-04 0.264896 1 4 87.5 45.0 135.0 1.60258E-01 7.84384E-04 4.68578E-02 4.76422E-02 5.88387E-04 0.292389 1 7 87.5 90.0 90.0 1.45800E-01 9.09623E-04 4.79559E-02 4.88655E-02 6.82332E-04 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 615.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 8.538E-03 9.407E-02 1.130E-01 9.733E-02 1.462E-01 6.405E-03 5.574E+00 1.130E-03 8.476E-04 1 0.00 0.00 2.096E-03 1.750E-01 4.882E-03 6.164E-03 1.060E-02 1.618E-03 4.572E+00 3 5.38 5.00 4.133E-04 1.678E-01 1.421E-03 2.217E-03 4.628E-03 1.830E-03 5.162E+00 5 10.75 10.00 8.534E-05 3.348E-02 3.062E-04 4.476E-04 7.742E-04 2.371E-03 4.902E+00 Waveband 27 of 40 completed in 5.5 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 28.3 m at 625.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 620.0 nm to 630.0 nm: Ed(diffuse) = 3.421E-01 Ed(direct) = 9.764E-01 Ed(total) = 1.319E+00 Absorption Coefficients of Individual Components at 625.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2834 0.0183 0.0000 0.0013 0.3030 3 5.457 5.000 0.2834 0.0183 0.0000 0.0013 0.3030 5 10.915 10.000 0.2834 0.0183 0.0000 0.0013 0.3030 Scattering Coefficients of Individual Components at 625.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0011 0.2757 0.5116 0.0000 0.7885 3 5.457 5.000 0.0011 0.2757 0.5116 0.0000 0.7885 5 10.915 10.000 0.0011 0.2757 0.5116 0.0000 0.7885 Backscattering Coefficients of Individual Components at 625.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00055 0.00387 0.00090 0.00000 0.00532 3 5.457 5.000 0.00055 0.00387 0.00090 0.00000 0.00532 5 10.915 10.000 0.00055 0.00387 0.00090 0.00000 0.00532 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 0.3030 0.7885 1.0915 0.7224 0.00532 0.00674 3 5.457 5.000 0.3030 0.7885 1.0915 0.7224 0.00532 0.00674 5 10.915 10.000 0.3030 0.7885 1.0915 0.7224 0.00532 0.00674 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.1520E-01 8 20.00 7.2074E-01 7 30.00 4.9309E-01 6 40.00 2.9916E-01 5 50.00 1.6546E-01 4 60.00 8.6245E-02 3 70.00 4.3945E-02 2 80.00 2.2834E-02 1 87.50 1.4219E-02 1 92.50 1.0257E-02 2 100.00 6.8577E-03 3 110.00 4.3901E-03 4 120.00 3.0646E-03 5 130.00 2.3432E-03 6 140.00 1.9409E-03 7 150.00 1.7132E-03 8 160.00 1.5859E-03 9 170.00 1.5213E-03 10 180.00 1.4993E-03 Asymptotic AOP values are MUu(inf) = 0.3316 MUd(inf) = 0.7946 MU(inf) = 0.7719 R(inf) = 0.0086 Lu(inf)/Ed(inf) = 0.001513 (1/sr) k(inf) = 0.3926 (1/m) absorp(check) = 0.3030 = 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 1.2720E-01 1.8196E+00 1.9468E+00 4.6709E-02 1.3185E+00 0.3672 0.7246 0.6533 3.5425E-02 1 0.00 0.00 2.2644E-02 1.4344E+00 1.4571E+00 8.8368E-03 1.2806E+00 0.3902 0.8928 0.8729 6.9003E-03 3 5.46 5.00 5.1229E-03 2.4939E-01 2.5451E-01 1.7938E-03 2.0371E-01 0.3501 0.8169 0.7934 8.8053E-03 5 10.91 10.00 9.0843E-04 3.7108E-02 3.8017E-02 3.2697E-04 2.9618E-02 0.3599 0.7982 0.7705 1.1040E-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 0.16124 0.30553 0.30328 0.24733 0.34628 0.34697 0.32351 5.000 5.010 5.005 0.34271 0.37258 0.37198 0.34544 0.38059 0.38090 0.34590 10.000 10.010 10.005 0.33890 0.38609 0.38496 0.32585 0.38864 0.38934 0.30170 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 1.04075E-03 7.32262E-03 8.36337E-03 7.89326E-04 0.079317 9 1 10.0 0.0 180.0 5.69657E-02 1.05941E-03 2.10829E-03 3.16770E-03 8.03484E-04 0.037010 9 4 10.0 45.0 135.0 6.25899E-02 1.05416E-03 2.45300E-03 3.50717E-03 7.99502E-04 0.039192 9 7 10.0 90.0 90.0 8.45642E-02 1.05106E-03 5.23844E-03 6.28950E-03 7.97145E-04 0.061946 8 1 20.0 0.0 180.0 4.47458E-02 1.07359E-03 1.09573E-03 2.16933E-03 8.14237E-04 0.024488 8 4 20.0 45.0 135.0 4.98141E-02 1.06121E-03 1.29540E-03 2.35661E-03 8.04843E-04 0.026005 8 7 20.0 90.0 90.0 7.32493E-02 1.05908E-03 3.01775E-03 4.07682E-03 8.03230E-04 0.041198 7 1 30.0 0.0 180.0 3.87970E-02 1.09423E-03 9.33930E-04 2.02816E-03 8.29892E-04 0.024072 7 4 30.0 45.0 135.0 4.30160E-02 1.09029E-03 1.04950E-03 2.13978E-03 8.26899E-04 0.024398 7 7 30.0 90.0 90.0 6.27096E-02 1.08362E-03 1.83385E-03 2.91747E-03 8.21844E-04 0.029244 6 1 40.0 0.0 180.0 3.68257E-02 1.11269E-03 1.03842E-03 2.15110E-03 8.43889E-04 0.028198 6 4 40.0 45.0 135.0 4.02669E-02 1.10763E-03 1.12623E-03 2.23386E-03 8.40055E-04 0.027969 6 7 40.0 90.0 90.0 5.65341E-02 1.10573E-03 1.63324E-03 2.73897E-03 8.38611E-04 0.028890 5 1 50.0 0.0 180.0 3.86105E-02 1.13824E-03 1.64035E-03 2.77858E-03 8.63264E-04 0.042485 5 4 50.0 45.0 135.0 4.11447E-02 1.12776E-03 1.70894E-03 2.83670E-03 8.55318E-04 0.041535 5 7 50.0 90.0 90.0 5.46915E-02 1.13341E-03 2.20934E-03 3.34275E-03 8.59603E-04 0.040396 4 1 60.0 0.0 180.0 4.58313E-02 1.13394E-03 3.82126E-03 4.95520E-03 8.60009E-04 0.083377 4 4 60.0 45.0 135.0 4.68685E-02 1.12291E-03 3.77342E-03 4.89632E-03 8.51638E-04 0.080511 4 7 60.0 90.0 90.0 5.78765E-02 1.14913E-03 4.40650E-03 5.55563E-03 8.71528E-04 0.076136 3 1 70.0 0.0 180.0 6.35912E-02 1.06655E-03 1.05553E-02 1.16219E-02 8.08898E-04 0.165987 3 4 70.0 45.0 135.0 6.18014E-02 1.06905E-03 1.01562E-02 1.12252E-02 8.10796E-04 0.164336 3 7 70.0 90.0 90.0 6.90925E-02 1.10274E-03 1.10444E-02 1.21471E-02 8.36341E-04 0.159849 2 1 80.0 0.0 180.0 1.08042E-01 9.25800E-04 2.62374E-02 2.71632E-02 7.02148E-04 0.242843 2 4 80.0 45.0 135.0 1.00045E-01 9.27115E-04 2.53770E-02 2.63041E-02 7.03146E-04 0.253655 2 7 80.0 90.0 90.0 9.93957E-02 9.63364E-04 2.65766E-02 2.75400E-02 7.30638E-04 0.267382 1 1 87.5 0.0 180.0 1.74685E-01 7.56473E-04 4.62733E-02 4.70298E-02 5.73727E-04 0.264896 1 4 87.5 45.0 135.0 1.57282E-01 7.22237E-04 4.59876E-02 4.67098E-02 5.47762E-04 0.292389 1 7 87.5 90.0 90.0 1.43092E-01 8.36936E-04 4.70653E-02 4.79022E-02 6.34752E-04 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 625.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 8.363E-03 9.232E-02 1.109E-01 9.550E-02 1.434E-01 6.343E-03 5.585E+00 1.041E-03 7.893E-04 1 0.00 0.00 1.930E-03 1.718E-01 4.534E-03 5.738E-03 9.930E-03 1.507E-03 4.578E+00 3 5.46 5.00 3.487E-04 1.526E-01 1.201E-03 1.877E-03 3.928E-03 1.712E-03 5.145E+00 5 10.91 10.00 6.773E-05 2.797E-02 2.379E-04 3.463E-04 5.963E-04 2.287E-03 4.828E+00 Waveband 28 of 40 completed in 5.6 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 28.0 m at 635.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 630.0 nm to 640.0 nm: Ed(diffuse) = 3.354E-01 Ed(direct) = 9.668E-01 Ed(total) = 1.302E+00 Absorption Coefficients of Individual Components at 635.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3012 0.0193 0.0000 0.0012 0.3216 3 5.550 5.000 0.3012 0.0193 0.0000 0.0012 0.3216 5 11.100 10.000 0.3012 0.0193 0.0000 0.0012 0.3216 Scattering Coefficients of Individual Components at 635.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0010 0.2757 0.5116 0.0000 0.7884 3 5.550 5.000 0.0010 0.2757 0.5116 0.0000 0.7884 5 11.100 10.000 0.0010 0.2757 0.5116 0.0000 0.7884 Backscattering Coefficients of Individual Components at 635.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00051 0.00387 0.00090 0.00000 0.00528 3 5.550 5.000 0.00051 0.00387 0.00090 0.00000 0.00528 5 11.100 10.000 0.00051 0.00387 0.00090 0.00000 0.00528 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 0.3216 0.7884 1.1100 0.7102 0.00528 0.00670 3 5.550 5.000 0.3216 0.7884 1.1100 0.7102 0.00528 0.00670 5 11.100 10.000 0.3216 0.7884 1.1100 0.7102 0.00528 0.00670 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.1237E-01 8 20.00 7.1261E-01 7 30.00 4.8142E-01 6 40.00 2.8754E-01 5 50.00 1.5634E-01 4 60.00 8.0144E-02 3 70.00 4.0243E-02 2 80.00 2.0673E-02 1 87.50 1.2797E-02 1 92.50 9.2108E-03 2 100.00 6.1463E-03 3 110.00 3.9314E-03 4 120.00 2.7476E-03 5 130.00 2.1055E-03 6 140.00 1.7483E-03 7 150.00 1.5465E-03 8 160.00 1.4339E-03 9 170.00 1.3768E-03 10 180.00 1.3573E-03 Asymptotic AOP values are MUu(inf) = 0.3320 MUd(inf) = 0.7995 MU(inf) = 0.7784 R(inf) = 0.0079 Lu(inf)/Ed(inf) = 0.001405 (1/sr) k(inf) = 0.4132 (1/m) absorp(check) = 0.3217 = 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 1.2454E-01 1.7950E+00 1.9195E+00 4.5787E-02 1.3022E+00 0.3676 0.7255 0.6546 3.5160E-02 1 0.00 0.00 2.0844E-02 1.4153E+00 1.4361E+00 8.1063E-03 1.2646E+00 0.3889 0.8935 0.8749 6.4104E-03 3 5.55 5.00 4.2369E-03 2.2080E-01 2.2504E-01 1.4846E-03 1.8097E-01 0.3504 0.8196 0.7976 8.2031E-03 5 11.10 10.00 6.9474E-04 2.9525E-02 3.0219E-02 2.5332E-04 2.3676E-02 0.3646 0.8019 0.7751 1.0699E-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 0.17681 0.32599 0.32382 0.26644 0.36682 0.36747 0.34360 5.000 5.010 5.005 0.36277 0.39427 0.39368 0.36411 0.40186 0.40218 0.36197 10.000 10.010 10.005 0.34828 0.40705 0.40570 0.33158 0.40950 0.41035 0.30221 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 9.54346E-04 7.22775E-03 8.18209E-03 7.32847E-04 0.079860 9 1 10.0 0.0 180.0 5.58452E-02 9.71743E-04 2.07342E-03 3.04516E-03 7.46207E-04 0.037128 9 4 10.0 45.0 135.0 6.13587E-02 9.66817E-04 2.41324E-03 3.38006E-03 7.42424E-04 0.039330 9 7 10.0 90.0 90.0 8.29008E-02 9.63698E-04 5.16582E-03 6.12952E-03 7.40029E-04 0.062313 8 1 20.0 0.0 180.0 4.38656E-02 9.84809E-04 1.07451E-03 2.05932E-03 7.56240E-04 0.024496 8 4 20.0 45.0 135.0 4.88342E-02 9.73245E-04 1.27079E-03 2.24403E-03 7.47360E-04 0.026022 8 7 20.0 90.0 90.0 7.18084E-02 9.70848E-04 2.96995E-03 3.94080E-03 7.45520E-04 0.041359 7 1 30.0 0.0 180.0 3.80338E-02 1.00373E-03 9.15559E-04 1.91928E-03 7.70767E-04 0.024072 7 4 30.0 45.0 135.0 4.21701E-02 9.99816E-04 1.02889E-03 2.02871E-03 7.67764E-04 0.024399 7 7 30.0 90.0 90.0 6.14745E-02 9.93078E-04 1.80005E-03 2.79313E-03 7.62590E-04 0.029281 6 1 40.0 0.0 180.0 3.61013E-02 1.02047E-03 1.01799E-03 2.03846E-03 7.83624E-04 0.028198 6 4 40.0 45.0 135.0 3.94748E-02 1.01548E-03 1.10408E-03 2.11956E-03 7.79794E-04 0.027969 6 7 40.0 90.0 90.0 5.54220E-02 1.01290E-03 1.60126E-03 2.61416E-03 7.77808E-04 0.028892 5 1 50.0 0.0 180.0 3.78510E-02 1.04369E-03 1.60808E-03 2.65178E-03 8.01459E-04 0.042485 5 4 50.0 45.0 135.0 4.03354E-02 1.03368E-03 1.67533E-03 2.70901E-03 7.93768E-04 0.041535 5 7 50.0 90.0 90.0 5.36157E-02 1.03787E-03 2.16588E-03 3.20376E-03 7.96989E-04 0.040396 4 1 60.0 0.0 180.0 4.49297E-02 1.03956E-03 3.74609E-03 4.78565E-03 7.98283E-04 0.083377 4 4 60.0 45.0 135.0 4.59466E-02 1.02899E-03 3.69919E-03 4.72819E-03 7.90169E-04 0.080511 4 7 60.0 90.0 90.0 5.67380E-02 1.05194E-03 4.31982E-03 5.37176E-03 8.07787E-04 0.076136 3 1 70.0 0.0 180.0 6.23404E-02 9.77616E-04 1.03477E-02 1.13253E-02 7.50717E-04 0.165987 3 4 70.0 45.0 135.0 6.05857E-02 9.79467E-04 9.95640E-03 1.09359E-02 7.52138E-04 0.164336 3 7 70.0 90.0 90.0 6.77334E-02 1.00924E-03 1.08271E-02 1.18364E-02 7.75000E-04 0.159849 2 1 80.0 0.0 180.0 1.05917E-01 8.48522E-04 2.57213E-02 2.65698E-02 6.51585E-04 0.242843 2 4 80.0 45.0 135.0 9.80772E-02 8.49340E-04 2.48778E-02 2.57272E-02 6.52213E-04 0.253655 2 7 80.0 90.0 90.0 9.74406E-02 8.81599E-04 2.60538E-02 2.69354E-02 6.76985E-04 0.267382 1 1 87.5 0.0 180.0 1.71249E-01 6.93342E-04 4.53631E-02 4.60564E-02 5.32421E-04 0.264896 1 4 87.5 45.0 135.0 1.54188E-01 6.61676E-04 4.50830E-02 4.57447E-02 5.08104E-04 0.292389 1 7 87.5 90.0 90.0 1.40277E-01 7.65976E-04 4.61395E-02 4.69054E-02 5.88197E-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 8.182E-03 9.050E-02 1.087E-01 9.359E-02 1.406E-01 6.283E-03 5.596E+00 9.543E-04 7.328E-04 1 0.00 0.00 1.770E-03 1.684E-01 4.192E-03 5.314E-03 9.253E-03 1.400E-03 4.579E+00 3 5.55 5.00 2.907E-04 1.369E-01 9.963E-04 1.559E-03 3.264E-03 1.606E-03 5.107E+00 5 11.10 10.00 5.396E-05 2.274E-02 1.807E-04 2.608E-04 4.450E-04 2.279E-03 4.695E+00 Waveband 29 of 40 completed in 5.6 sec. * * * * * Output for wavelength band 30 (640.0 to 650.0 nm; nominal wavelength = 645.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 27.6 m at 645.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 640.0 nm to 650.0 nm: Ed(diffuse) = 3.226E-01 Ed(direct) = 9.388E-01 Ed(total) = 1.261E+00 Absorption Coefficients of Individual Components at 645.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3250 0.0197 0.0000 0.0010 0.3457 3 5.670 5.000 0.3250 0.0197 0.0000 0.0010 0.3457 5 11.341 10.000 0.3250 0.0197 0.0000 0.0010 0.3457 Scattering Coefficients of Individual Components at 645.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0010 0.2757 0.5116 0.0000 0.7883 3 5.670 5.000 0.0010 0.2757 0.5116 0.0000 0.7883 5 11.341 10.000 0.0010 0.2757 0.5116 0.0000 0.7883 Backscattering Coefficients of Individual Components at 645.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00048 0.00387 0.00090 0.00000 0.00525 3 5.670 5.000 0.00048 0.00387 0.00090 0.00000 0.00525 5 11.341 10.000 0.00048 0.00387 0.00090 0.00000 0.00525 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 0.3457 0.7883 1.1341 0.6951 0.00525 0.00666 3 5.670 5.000 0.3457 0.7883 1.1341 0.6951 0.00525 0.00666 5 11.341 10.000 0.3457 0.7883 1.1341 0.6951 0.00525 0.00666 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.0880E-01 8 20.00 7.0247E-01 7 30.00 4.6711E-01 6 40.00 2.7358E-01 5 50.00 1.4564E-01 4 60.00 7.3146E-02 3 70.00 3.6087E-02 2 80.00 1.8292E-02 1 87.50 1.1247E-02 1 92.50 8.0781E-03 2 100.00 5.3813E-03 3 110.00 3.4409E-03 4 120.00 2.4096E-03 5 130.00 1.8524E-03 6 140.00 1.5433E-03 7 150.00 1.3690E-03 8 160.00 1.2719E-03 9 170.00 1.2227E-03 10 180.00 1.2059E-03 Asymptotic AOP values are MUu(inf) = 0.3328 MUd(inf) = 0.8054 MU(inf) = 0.7860 R(inf) = 0.0072 Lu(inf)/Ed(inf) = 0.001288 (1/sr) k(inf) = 0.4399 (1/m) absorp(check) = 0.3458 = 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 1.1960E-01 1.7368E+00 1.8564E+00 4.4010E-02 1.2614E+00 0.3680 0.7263 0.6558 3.4888E-02 1 0.00 0.00 1.8595E-02 1.3695E+00 1.3881E+00 7.2059E-03 1.2246E+00 0.3875 0.8942 0.8770 5.8841E-03 3 5.67 5.00 3.2983E-03 1.8576E-01 1.8905E-01 1.1594E-03 1.5286E-01 0.3515 0.8229 0.8024 7.5844E-03 5 11.34 10.00 4.9705E-04 2.1647E-02 2.2144E-02 1.8541E-04 1.7454E-02 0.3730 0.8063 0.7798 1.0623E-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 0.19804 0.35259 0.35052 0.29142 0.39345 0.39406 0.36929 5.000 5.010 5.005 0.38737 0.42223 0.42163 0.38648 0.42933 0.42966 0.38024 10.000 10.010 10.005 0.35426 0.43388 0.43209 0.33217 0.43629 0.43741 0.29607 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 8.48925E-04 6.99727E-03 7.84620E-03 6.72981E-04 0.080373 9 1 10.0 0.0 180.0 5.37195E-02 8.64713E-04 2.00049E-03 2.86520E-03 6.85496E-04 0.037239 9 4 10.0 45.0 135.0 5.90232E-02 8.60204E-04 2.32910E-03 3.18930E-03 6.81922E-04 0.039461 9 7 10.0 90.0 90.0 7.97453E-02 8.57124E-04 4.99681E-03 5.85393E-03 6.79480E-04 0.062660 8 1 20.0 0.0 180.0 4.21959E-02 8.76393E-04 1.03392E-03 1.91031E-03 6.94756E-04 0.024503 8 4 20.0 45.0 135.0 4.69754E-02 8.65876E-04 1.22320E-03 2.08908E-03 6.86419E-04 0.026039 8 7 20.0 90.0 90.0 6.90751E-02 8.63231E-04 2.86741E-03 3.73064E-03 6.84322E-04 0.041511 7 1 30.0 0.0 180.0 3.65861E-02 8.93186E-04 8.80710E-04 1.77390E-03 7.08068E-04 0.024072 7 4 30.0 45.0 135.0 4.05652E-02 8.89385E-04 9.89768E-04 1.87915E-03 7.05055E-04 0.024399 7 7 30.0 90.0 90.0 5.91332E-02 8.82665E-04 1.73360E-03 2.61627E-03 6.99728E-04 0.029317 6 1 40.0 0.0 180.0 3.47272E-02 9.07846E-04 9.79240E-04 1.88709E-03 7.19690E-04 0.028198 6 4 40.0 45.0 135.0 3.79723E-02 9.03011E-04 1.06205E-03 1.96506E-03 7.15857E-04 0.027969 6 7 40.0 90.0 90.0 5.33125E-02 8.99721E-04 1.54045E-03 2.44017E-03 7.13249E-04 0.028895 5 1 50.0 0.0 180.0 3.64103E-02 9.28233E-04 1.54687E-03 2.47511E-03 7.35851E-04 0.042485 5 4 50.0 45.0 135.0 3.88001E-02 9.18858E-04 1.61156E-03 2.53042E-03 7.28420E-04 0.041535 5 7 50.0 90.0 90.0 5.15749E-02 9.21402E-04 2.08344E-03 3.00484E-03 7.30436E-04 0.040396 4 1 60.0 0.0 180.0 4.32196E-02 9.24278E-04 3.60350E-03 4.52778E-03 7.32717E-04 0.083377 4 4 60.0 45.0 135.0 4.41977E-02 9.14362E-04 3.55839E-03 4.47275E-03 7.24856E-04 0.080511 4 7 60.0 90.0 90.0 5.45784E-02 9.33408E-04 4.15539E-03 5.08880E-03 7.39954E-04 0.076136 3 1 70.0 0.0 180.0 5.99675E-02 8.68950E-04 9.95383E-03 1.08228E-02 6.88855E-04 0.165987 3 4 70.0 45.0 135.0 5.82796E-02 8.70067E-04 9.57743E-03 1.04475E-02 6.89741E-04 0.164336 3 7 70.0 90.0 90.0 6.51552E-02 8.95129E-04 1.04150E-02 1.13101E-02 7.09609E-04 0.159849 2 1 80.0 0.0 180.0 1.01886E-01 7.54049E-04 2.47423E-02 2.54963E-02 5.97768E-04 0.242843 2 4 80.0 45.0 135.0 9.43441E-02 7.54302E-04 2.39309E-02 2.46852E-02 5.97969E-04 0.253655 2 7 80.0 90.0 90.0 9.37317E-02 7.81703E-04 2.50621E-02 2.58439E-02 6.19691E-04 0.267382 1 1 87.5 0.0 180.0 1.64730E-01 6.16093E-04 4.36364E-02 4.42525E-02 4.88404E-04 0.264896 1 4 87.5 45.0 135.0 1.48319E-01 5.87592E-04 4.33670E-02 4.39546E-02 4.65810E-04 0.292389 1 7 87.5 90.0 90.0 1.34938E-01 6.79136E-04 4.43833E-02 4.50624E-02 5.38381E-04 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 645.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 7.846E-03 8.706E-02 1.045E-01 9.000E-02 1.352E-01 6.220E-03 5.609E+00 8.489E-04 6.730E-04 1 0.00 0.00 1.575E-03 1.620E-01 3.760E-03 4.775E-03 8.366E-03 1.286E-03 4.576E+00 3 5.67 5.00 2.300E-04 1.170E-01 7.775E-04 1.215E-03 2.542E-03 1.505E-03 5.041E+00 5 11.34 10.00 4.125E-05 1.712E-02 1.273E-04 1.808E-04 3.035E-04 2.363E-03 4.495E+00 Waveband 30 of 40 completed in 5.7 sec. * * * * * Output for wavelength band 31 (650.0 to 660.0 nm; nominal wavelength = 655.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 26.9 m at 655.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 650.0 nm to 660.0 nm: Ed(diffuse) = 3.062E-01 Ed(direct) = 8.991E-01 Ed(total) = 1.205E+00 Absorption Coefficients of Individual Components at 655.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3710 0.0223 0.0000 0.0009 0.3941 3 5.912 5.000 0.3710 0.0223 0.0000 0.0009 0.3941 5 11.824 10.000 0.3710 0.0223 0.0000 0.0009 0.3941 Scattering Coefficients of Individual Components at 655.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0009 0.2757 0.5116 0.0000 0.7883 3 5.912 5.000 0.0009 0.2757 0.5116 0.0000 0.7883 5 11.824 10.000 0.0009 0.2757 0.5116 0.0000 0.7883 Backscattering Coefficients of Individual Components at 655.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00045 0.00387 0.00090 0.00000 0.00522 3 5.912 5.000 0.00045 0.00387 0.00090 0.00000 0.00522 5 11.824 10.000 0.00045 0.00387 0.00090 0.00000 0.00522 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 0.3941 0.7883 1.1824 0.6667 0.00522 0.00662 3 5.912 5.000 0.3941 0.7883 1.1824 0.6667 0.00522 0.00662 5 11.824 10.000 0.3941 0.7883 1.1824 0.6667 0.00522 0.00662 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.0194E-01 8 20.00 6.8329E-01 7 30.00 4.4072E-01 6 40.00 2.4870E-01 5 50.00 1.2724E-01 4 60.00 6.1549E-02 3 70.00 2.9429E-02 2 80.00 1.4584E-02 1 87.50 8.8738E-03 1 92.50 6.3573E-03 2 100.00 4.2292E-03 3 110.00 2.7080E-03 4 120.00 1.9064E-03 5 130.00 1.4758E-03 6 140.00 1.2380E-03 7 150.00 1.1043E-03 8 160.00 1.0301E-03 9 170.00 9.9255E-04 10 180.00 9.7972E-04 Asymptotic AOP values are MUu(inf) = 0.3348 MUd(inf) = 0.8159 MU(inf) = 0.7992 R(inf) = 0.0061 Lu(inf)/Ed(inf) = 0.001108 (1/sr) k(inf) = 0.4932 (1/m) absorp(check) = 0.3942 = 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 1.1310E-01 1.6578E+00 1.7709E+00 4.1628E-02 1.2053E+00 0.3681 0.7271 0.6571 3.4537E-02 1 0.00 0.00 1.5524E-02 1.3066E+00 1.3222E+00 5.9963E-03 1.1697E+00 0.3863 0.8952 0.8802 5.1264E-03 3 5.91 5.00 2.1526E-03 1.3400E-01 1.3615E-01 7.7263E-04 1.1103E-01 0.3589 0.8286 0.8098 6.9587E-03 5 11.82 10.00 3.1096E-04 1.1921E-02 1.2232E-02 1.2515E-04 9.6870E-03 0.4024 0.8126 0.7817 1.2919E-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 0.24320 0.40631 0.40439 0.34064 0.44701 0.44756 0.41714 5.000 5.010 5.005 0.42459 0.47781 0.47697 0.41570 0.48411 0.48459 0.39645 10.000 10.010 10.005 0.32808 0.48540 0.48140 0.29620 0.48850 0.49102 0.25445 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 7.11138E-04 6.68238E-03 7.39352E-03 5.89991E-04 0.080872 9 1 10.0 0.0 180.0 5.09854E-02 7.24795E-04 1.90421E-03 2.62900E-03 6.01321E-04 0.037348 9 4 10.0 45.0 135.0 5.60192E-02 7.20834E-04 2.21768E-03 2.93851E-03 5.98035E-04 0.039588 9 7 10.0 90.0 90.0 7.56866E-02 7.17782E-04 4.76801E-03 5.48579E-03 5.95502E-04 0.062997 8 1 20.0 0.0 180.0 4.00483E-02 7.34574E-04 9.81576E-04 1.71615E-03 6.09434E-04 0.024510 8 4 20.0 45.0 135.0 4.45846E-02 7.25436E-04 1.16167E-03 1.88711E-03 6.01853E-04 0.026055 8 7 20.0 90.0 90.0 6.55595E-02 7.22417E-04 2.73118E-03 3.45359E-03 5.99348E-04 0.041660 7 1 30.0 0.0 180.0 3.47241E-02 7.48470E-04 8.35885E-04 1.58436E-03 6.20963E-04 0.024072 7 4 30.0 45.0 135.0 3.85009E-02 7.44822E-04 9.39428E-04 1.68425E-03 6.17937E-04 0.024400 7 7 30.0 90.0 90.0 5.61222E-02 7.38032E-04 1.64728E-03 2.38531E-03 6.12303E-04 0.029352 6 1 40.0 0.0 180.0 3.29597E-02 7.60202E-04 9.29401E-04 1.68960E-03 6.30696E-04 0.028198 6 4 40.0 45.0 135.0 3.60397E-02 7.55561E-04 1.00800E-03 1.76356E-03 6.26846E-04 0.027969 6 7 40.0 90.0 90.0 5.05991E-02 7.51153E-04 1.46217E-03 2.21332E-03 6.23189E-04 0.028897 5 1 50.0 0.0 180.0 3.45572E-02 7.76635E-04 1.46814E-03 2.24478E-03 6.44330E-04 0.042485 5 4 50.0 45.0 135.0 3.68253E-02 7.68064E-04 1.52954E-03 2.29760E-03 6.37219E-04 0.041535 5 7 50.0 90.0 90.0 4.89500E-02 7.68097E-04 1.97741E-03 2.74550E-03 6.37247E-04 0.040396 4 1 60.0 0.0 180.0 4.10199E-02 7.72659E-04 3.42010E-03 4.19276E-03 6.41031E-04 0.083377 4 4 60.0 45.0 135.0 4.19482E-02 7.63527E-04 3.37728E-03 4.14081E-03 6.33455E-04 0.080511 4 7 60.0 90.0 90.0 5.18006E-02 7.76943E-04 3.94390E-03 4.72085E-03 6.44586E-04 0.076136 3 1 70.0 0.0 180.0 5.69154E-02 7.25706E-04 9.44722E-03 1.01729E-02 6.02077E-04 0.165987 3 4 70.0 45.0 135.0 5.53134E-02 7.25737E-04 9.08998E-03 9.81571E-03 6.02103E-04 0.164336 3 7 70.0 90.0 90.0 6.18391E-02 7.43903E-04 9.88492E-03 1.06288E-02 6.17174E-04 0.159849 2 1 80.0 0.0 180.0 9.67001E-02 6.29228E-04 2.34830E-02 2.41122E-02 5.22035E-04 0.242843 2 4 80.0 45.0 135.0 8.95424E-02 6.28585E-04 2.27129E-02 2.33415E-02 5.21501E-04 0.253655 2 7 80.0 90.0 90.0 8.89611E-02 6.48812E-04 2.37866E-02 2.44354E-02 5.38283E-04 0.267382 1 1 87.5 0.0 180.0 1.56346E-01 5.13764E-04 4.14155E-02 4.19293E-02 4.26241E-04 0.264896 1 4 87.5 45.0 135.0 1.40771E-01 4.89305E-04 4.11598E-02 4.16491E-02 4.05948E-04 0.292389 1 7 87.5 90.0 90.0 1.28070E-01 5.63127E-04 4.21243E-02 4.26875E-02 4.67194E-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 7.394E-03 8.263E-02 9.914E-02 8.538E-02 1.283E-01 6.134E-03 5.630E+00 7.111E-04 5.900E-04 1 0.00 0.00 1.319E-03 1.537E-01 3.177E-03 4.031E-03 7.102E-03 1.128E-03 4.546E+00 3 5.91 5.00 1.607E-04 8.699E-02 5.048E-04 7.771E-04 1.602E-03 1.448E-03 4.807E+00 5 11.82 10.00 3.116E-05 9.862E-03 7.396E-05 9.859E-05 1.546E-04 3.217E-03 4.016E+00 Waveband 31 of 40 completed in 5.8 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 26.0 m at 665.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 660.0 nm to 670.0 nm: Ed(diffuse) = 3.168E-01 Ed(direct) = 9.381E-01 Ed(total) = 1.255E+00 Absorption Coefficients of Individual Components at 665.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.4290 0.0330 0.0000 0.0008 0.4628 3 6.255 5.000 0.4290 0.0330 0.0000 0.0008 0.4628 5 12.510 10.000 0.4290 0.0330 0.0000 0.0008 0.4628 Scattering Coefficients of Individual Components at 665.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0008 0.2757 0.5116 0.0000 0.7882 3 6.255 5.000 0.0008 0.2757 0.5116 0.0000 0.7882 5 12.510 10.000 0.0008 0.2757 0.5116 0.0000 0.7882 Backscattering Coefficients of Individual Components at 665.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00042 0.00387 0.00090 0.00000 0.00519 3 6.255 5.000 0.00042 0.00387 0.00090 0.00000 0.00519 5 12.510 10.000 0.00042 0.00387 0.00090 0.00000 0.00519 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 0.4628 0.7882 1.2510 0.6301 0.00519 0.00658 3 6.255 5.000 0.4628 0.7882 1.2510 0.6301 0.00519 0.00658 5 12.510 10.000 0.4628 0.7882 1.2510 0.6301 0.00519 0.00658 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.9277E-01 8 20.00 6.5833E-01 7 30.00 4.0778E-01 6 40.00 2.1916E-01 5 50.00 1.0655E-01 4 60.00 4.9191E-02 3 70.00 2.2663E-02 2 80.00 1.0956E-02 1 87.50 6.5983E-03 1 92.50 4.7217E-03 2 100.00 3.1425E-03 3 110.00 2.0196E-03 4 120.00 1.4328E-03 5 130.00 1.1193E-03 6 140.00 9.4695E-04 7 150.00 8.5041E-04 8 160.00 7.9694E-04 9 170.00 7.6999E-04 10 180.00 7.6075E-04 Asymptotic AOP values are MUu(inf) = 0.3379 MUd(inf) = 0.8284 MU(inf) = 0.8145 R(inf) = 0.0049 Lu(inf)/Ed(inf) = 0.000925 (1/sr) k(inf) = 0.5682 (1/m) absorp(check) = 0.4628 = 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 1.1705E-01 1.7242E+00 1.8412E+00 4.3169E-02 1.2549E+00 0.3688 0.7278 0.6581 3.4401E-02 1 0.00 0.00 1.4929E-02 1.3591E+00 1.3740E+00 5.8589E-03 1.2175E+00 0.3925 0.8958 0.8818 4.8121E-03 3 6.25 5.00 1.9832E-03 9.4706E-02 9.6689E-02 8.0215E-04 7.8877E-02 0.4045 0.8329 0.8075 1.0170E-02 5 12.51 10.00 5.1244E-04 6.1587E-03 6.6711E-03 2.3699E-04 4.9190E-03 0.4625 0.7987 0.7018 4.8178E-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 0.30139 0.48269 0.48072 0.38627 0.52273 0.52339 0.44253 5.000 5.010 5.005 0.36592 0.55208 0.54826 0.33417 0.55886 0.56117 0.29320 10.000 10.010 10.005 0.19588 0.52636 0.50093 0.18115 0.54114 0.55940 0.16752 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 7.22318E-04 6.95328E-03 7.67560E-03 5.75619E-04 0.081350 9 1 10.0 0.0 180.0 5.27408E-02 7.35599E-04 1.97525E-03 2.71085E-03 5.86203E-04 0.037452 9 4 10.0 45.0 135.0 5.79479E-02 7.31673E-04 2.30109E-03 3.03276E-03 5.83074E-04 0.039710 9 7 10.0 90.0 90.0 7.82924E-02 7.28613E-04 4.95743E-03 5.68604E-03 5.80636E-04 0.063319 8 1 20.0 0.0 180.0 4.14272E-02 7.44463E-04 1.01565E-03 1.76011E-03 5.93267E-04 0.024516 8 4 20.0 45.0 135.0 4.61196E-02 7.35387E-04 1.20238E-03 1.93777E-03 5.86034E-04 0.026071 8 7 20.0 90.0 90.0 6.78167E-02 7.32265E-04 2.83482E-03 3.56708E-03 5.83546E-04 0.041801 7 1 30.0 0.0 180.0 3.59196E-02 7.57211E-04 8.64664E-04 1.62188E-03 6.03426E-04 0.024072 7 4 30.0 45.0 135.0 3.98266E-02 7.53761E-04 9.71806E-04 1.72557E-03 6.00677E-04 0.024401 7 7 30.0 90.0 90.0 5.80532E-02 7.46579E-04 1.70588E-03 2.45246E-03 5.94953E-04 0.029385 6 1 40.0 0.0 180.0 3.40945E-02 7.66901E-04 9.61399E-04 1.72830E-03 6.11148E-04 0.028198 6 4 40.0 45.0 135.0 3.72805E-02 7.62393E-04 1.04270E-03 1.80510E-03 6.07555E-04 0.027969 6 7 40.0 90.0 90.0 5.23412E-02 7.56916E-04 1.51264E-03 2.26955E-03 6.03191E-04 0.028900 5 1 50.0 0.0 180.0 3.57469E-02 7.81176E-04 1.51869E-03 2.29987E-03 6.22523E-04 0.042485 5 4 50.0 45.0 135.0 3.80932E-02 7.72537E-04 1.58220E-03 2.35473E-03 6.15639E-04 0.041535 5 7 50.0 90.0 90.0 5.06353E-02 7.70455E-04 2.04549E-03 2.81594E-03 6.13980E-04 0.040396 4 1 60.0 0.0 180.0 4.24322E-02 7.74742E-04 3.53785E-03 4.31259E-03 6.17396E-04 0.083377 4 4 60.0 45.0 135.0 4.33925E-02 7.65328E-04 3.49356E-03 4.25889E-03 6.09894E-04 0.080511 4 7 60.0 90.0 90.0 5.35840E-02 7.75459E-04 4.07969E-03 4.85515E-03 6.17967E-04 0.076136 3 1 70.0 0.0 180.0 5.88749E-02 7.24884E-04 9.77248E-03 1.04974E-02 5.77664E-04 0.165987 3 4 70.0 45.0 135.0 5.72178E-02 7.24316E-04 9.40294E-03 1.01273E-02 5.77212E-04 0.164336 3 7 70.0 90.0 90.0 6.39682E-02 7.37749E-04 1.02252E-02 1.09630E-02 5.87917E-04 0.159849 2 1 80.0 0.0 180.0 1.00029E-01 6.26208E-04 2.42915E-02 2.49177E-02 4.99029E-04 0.242843 2 4 80.0 45.0 135.0 9.26253E-02 6.24713E-04 2.34949E-02 2.41196E-02 4.97838E-04 0.253655 2 7 80.0 90.0 90.0 9.20240E-02 6.39619E-04 2.46055E-02 2.52452E-02 5.09716E-04 0.267382 1 1 87.5 0.0 180.0 1.61729E-01 5.09345E-04 4.28414E-02 4.33507E-02 4.05900E-04 0.264896 1 4 87.5 45.0 135.0 1.45617E-01 4.84219E-04 4.25769E-02 4.30611E-02 3.85877E-04 0.292389 1 7 87.5 90.0 90.0 1.32480E-01 5.51713E-04 4.35746E-02 4.41264E-02 4.39663E-04 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 665.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 7.676E-03 8.547E-02 1.025E-01 8.830E-02 1.327E-01 6.117E-03 5.624E+00 7.223E-04 5.756E-04 1 0.00 0.00 1.340E-03 1.590E-01 3.097E-03 3.862E-03 6.649E-03 1.101E-03 4.372E+00 3 6.25 5.00 1.988E-04 6.356E-02 4.277E-04 5.860E-04 1.063E-03 2.520E-03 4.036E+00 5 12.51 10.00 6.785E-05 5.092E-03 9.956E-05 1.089E-04 1.300E-04 1.379E-02 3.493E+00 Waveband 32 of 40 completed in 6.1 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 25.7 m at 675.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 670.0 nm to 680.0 nm: Ed(diffuse) = 3.090E-01 Ed(direct) = 9.226E-01 Ed(total) = 1.232E+00 Absorption Coefficients of Individual Components at 675.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.4480 0.0406 0.0000 0.0007 0.4893 3 6.387 5.000 0.4480 0.0406 0.0000 0.0007 0.4893 5 12.774 10.000 0.4480 0.0406 0.0000 0.0007 0.4893 Scattering Coefficients of Individual Components at 675.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0008 0.2757 0.5116 0.0000 0.7882 3 6.387 5.000 0.0008 0.2757 0.5116 0.0000 0.7882 5 12.774 10.000 0.0008 0.2757 0.5116 0.0000 0.7882 Backscattering Coefficients of Individual Components at 675.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00040 0.00387 0.00090 0.00000 0.00516 3 6.387 5.000 0.00040 0.00387 0.00090 0.00000 0.00516 5 12.774 10.000 0.00040 0.00387 0.00090 0.00000 0.00516 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 0.4893 0.7882 1.2774 0.6170 0.00516 0.00655 3 6.387 5.000 0.4893 0.7882 1.2774 0.6170 0.00516 0.00655 5 12.774 10.000 0.4893 0.7882 1.2774 0.6170 0.00516 0.00655 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.8938E-01 8 20.00 6.4930E-01 7 30.00 3.9624E-01 6 40.00 2.0921E-01 5 50.00 9.9873E-02 4 60.00 4.5358E-02 3 70.00 2.0636E-02 2 80.00 9.8966E-03 1 87.50 5.9418E-03 1 92.50 4.2513E-03 2 100.00 2.8300E-03 3 110.00 1.8208E-03 4 120.00 1.2947E-03 5 130.00 1.0142E-03 6 140.00 8.6006E-04 7 150.00 7.7383E-04 8 160.00 7.2611E-04 9 170.00 7.0207E-04 10 180.00 6.9384E-04 Asymptotic AOP values are MUu(inf) = 0.3388 MUd(inf) = 0.8326 MU(inf) = 0.8197 R(inf) = 0.0046 Lu(inf)/Ed(inf) = 0.000866 (1/sr) k(inf) = 0.5969 (1/m) absorp(check) = 0.4893 = 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 1.1620E-01 1.6906E+00 1.8068E+00 4.3252E-02 1.2316E+00 0.3722 0.7285 0.6577 3.5119E-02 1 0.00 0.00 1.8515E-02 1.3367E+00 1.3553E+00 7.6595E-03 1.1960E+00 0.4137 0.8947 0.8768 6.4044E-03 3 6.39 5.00 3.9609E-03 8.2827E-02 8.6788E-02 1.7831E-03 6.8238E-02 0.4502 0.8239 0.7657 2.6131E-02 5 12.77 10.00 1.5734E-03 6.0506E-03 7.6240E-03 7.4955E-04 4.4141E-03 0.4764 0.7295 0.4807 1.6981E-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 0.29731 0.51171 0.50878 0.34132 0.55073 0.55208 0.36025 5.000 5.010 5.005 0.24165 0.56504 0.55026 0.21985 0.57757 0.58719 0.19742 10.000 10.010 10.005 0.15589 0.44441 0.38480 0.15226 0.48774 0.55649 0.14910 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 1.02260E-03 6.82092E-03 7.84352E-03 8.30318E-04 0.081808 9 1 10.0 0.0 180.0 5.14469E-02 1.03783E-03 1.93192E-03 2.96976E-03 8.42689E-04 0.037552 9 4 10.0 45.0 135.0 5.65262E-02 1.03326E-03 2.25124E-03 3.28449E-03 8.38974E-04 0.039826 9 7 10.0 90.0 90.0 7.63717E-02 1.03073E-03 4.85946E-03 5.89019E-03 8.36920E-04 0.063629 8 1 20.0 0.0 180.0 4.04108E-02 1.04669E-03 9.90991E-04 2.03768E-03 8.49881E-04 0.024523 8 4 20.0 45.0 135.0 4.49881E-02 1.03571E-03 1.17356E-03 2.20927E-03 8.40963E-04 0.026086 8 7 20.0 90.0 90.0 6.61529E-02 1.03395E-03 2.77426E-03 3.80821E-03 8.39535E-04 0.041937 7 1 30.0 0.0 180.0 3.50384E-02 1.06061E-03 8.43451E-04 1.90406E-03 8.61181E-04 0.024072 7 4 30.0 45.0 135.0 3.88497E-02 1.05825E-03 9.47996E-04 2.00624E-03 8.59264E-04 0.024402 7 7 30.0 90.0 90.0 5.66278E-02 1.05123E-03 1.66580E-03 2.71703E-03 8.53566E-04 0.029417 6 1 40.0 0.0 180.0 3.32580E-02 1.06859E-03 9.37813E-04 2.00640E-03 8.67659E-04 0.028198 6 4 40.0 45.0 135.0 3.63659E-02 1.06501E-03 1.01712E-03 2.08213E-03 8.64753E-04 0.027969 6 7 40.0 90.0 90.0 5.10571E-02 1.05973E-03 1.47564E-03 2.53538E-03 8.60472E-04 0.028902 5 1 50.0 0.0 180.0 3.48699E-02 1.08280E-03 1.48143E-03 2.56424E-03 8.79203E-04 0.042485 5 4 50.0 45.0 135.0 3.71586E-02 1.07336E-03 1.54338E-03 2.61674E-03 8.71535E-04 0.041535 5 7 50.0 90.0 90.0 4.93930E-02 1.07070E-03 1.99530E-03 3.06600E-03 8.69375E-04 0.040396 4 1 60.0 0.0 180.0 4.13912E-02 1.06788E-03 3.45105E-03 4.51893E-03 8.67084E-04 0.083377 4 4 60.0 45.0 135.0 4.23279E-02 1.05703E-03 3.40785E-03 4.46488E-03 8.58277E-04 0.080511 4 7 60.0 90.0 90.0 5.22694E-02 1.06856E-03 3.97960E-03 5.04816E-03 8.67641E-04 0.076136 3 1 70.0 0.0 180.0 5.74306E-02 9.92163E-04 9.53273E-03 1.05249E-02 8.05605E-04 0.165987 3 4 70.0 45.0 135.0 5.58141E-02 9.92566E-04 9.17225E-03 1.01648E-02 8.05933E-04 0.164336 3 7 70.0 90.0 90.0 6.23988E-02 1.00471E-03 9.97439E-03 1.09791E-02 8.15790E-04 0.159849 2 1 80.0 0.0 180.0 9.75754E-02 8.51094E-04 2.36955E-02 2.45466E-02 6.91062E-04 0.242843 2 4 80.0 45.0 135.0 9.03529E-02 8.49207E-04 2.29185E-02 2.37677E-02 6.89530E-04 0.253655 2 7 80.0 90.0 90.0 8.97663E-02 8.61012E-04 2.40019E-02 2.48629E-02 6.99115E-04 0.267382 1 1 87.5 0.0 180.0 1.57761E-01 6.86881E-04 4.17903E-02 4.24772E-02 5.57726E-04 0.264896 1 4 87.5 45.0 135.0 1.42045E-01 6.52481E-04 4.15323E-02 4.21848E-02 5.29794E-04 0.292389 1 7 87.5 90.0 90.0 1.29229E-01 7.33034E-04 4.25056E-02 4.32387E-02 5.95201E-04 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 675.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 7.844E-03 8.338E-02 1.001E-01 8.623E-02 1.295E-01 6.369E-03 5.514E+00 1.023E-03 8.303E-04 1 0.00 0.00 1.897E-03 1.551E-01 3.832E-03 4.554E-03 7.156E-03 1.587E-03 4.037E+00 3 6.39 5.00 4.954E-04 5.488E-02 7.705E-04 8.954E-04 1.271E-03 7.260E-03 3.599E+00 5 12.77 10.00 2.194E-04 4.076E-03 2.883E-04 2.946E-04 3.087E-04 4.970E-02 3.416E+00 Waveband 33 of 40 completed in 6.0 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 25.4 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 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.4860 0.0279 0.0000 0.0006 0.5145 3 6.513 5.000 0.4860 0.0279 0.0000 0.0006 0.5145 5 13.026 10.000 0.4860 0.0279 0.0000 0.0006 0.5145 Scattering Coefficients of Individual Components at 685.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0007 0.2757 0.5116 0.0000 0.7881 3 6.513 5.000 0.0007 0.2757 0.5116 0.0000 0.7881 5 13.026 10.000 0.0007 0.2757 0.5116 0.0000 0.7881 Backscattering Coefficients of Individual Components at 685.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00037 0.00387 0.00090 0.00000 0.00514 3 6.513 5.000 0.00037 0.00387 0.00090 0.00000 0.00514 5 13.026 10.000 0.00037 0.00387 0.00090 0.00000 0.00514 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 0.5145 0.7881 1.3026 0.6050 0.00514 0.00652 3 6.513 5.000 0.5145 0.7881 1.3026 0.6050 0.00514 0.00652 5 13.026 10.000 0.5145 0.7881 1.3026 0.6050 0.00514 0.00652 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.8622E-01 8 20.00 6.4096E-01 7 30.00 3.8576E-01 6 40.00 2.0035E-01 5 50.00 9.4058E-02 4 60.00 4.2088E-02 3 70.00 1.8937E-02 2 80.00 9.0195E-03 1 87.50 5.4016E-03 1 92.50 3.8649E-03 2 100.00 2.5738E-03 3 110.00 1.6578E-03 4 120.00 1.1813E-03 5 130.00 9.2749E-04 6 140.00 7.8824E-04 7 150.00 7.1038E-04 8 160.00 6.6732E-04 9 170.00 6.4564E-04 10 180.00 6.3821E-04 Asymptotic AOP values are MUu(inf) = 0.3397 MUd(inf) = 0.8364 MU(inf) = 0.8242 R(inf) = 0.0043 Lu(inf)/Ed(inf) = 0.000815 (1/sr) k(inf) = 0.6243 (1/m) absorp(check) = 0.5145 = 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 1.0618E-01 1.5481E+00 1.6543E+00 3.9618E-02 1.1288E+00 0.3731 0.7291 0.6584 3.5097E-02 1 0.00 0.00 1.6930E-02 1.2250E+00 1.2420E+00 7.0511E-03 1.0962E+00 0.4165 0.8949 0.8770 6.4321E-03 3 6.51 5.00 3.6808E-03 6.6426E-02 7.0106E-02 1.6809E-03 5.4650E-02 0.4567 0.8227 0.7555 3.0757E-02 5 13.03 10.00 1.5211E-03 4.7214E-03 6.2425E-03 7.2784E-04 3.3380E-03 0.4785 0.7070 0.4181 2.1805E-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 0.31306 0.53964 0.53655 0.35118 0.57836 0.57984 0.36452 5.000 5.010 5.005 0.22975 0.58734 0.56853 0.21006 0.60183 0.61428 0.19025 10.000 10.010 10.005 0.15246 0.42500 0.35852 0.14986 0.47722 0.56870 0.14762 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 9.51768E-04 6.24883E-03 7.20060E-03 8.43169E-04 0.082241 9 1 10.0 0.0 180.0 4.68840E-02 9.65541E-04 1.76499E-03 2.73053E-03 8.55371E-04 0.037646 9 4 10.0 45.0 135.0 5.15128E-02 9.61387E-04 2.05725E-03 3.01863E-03 8.51690E-04 0.039937 9 7 10.0 90.0 90.0 6.95981E-02 9.59215E-04 4.44880E-03 5.40802E-03 8.49766E-04 0.063921 8 1 20.0 0.0 180.0 3.68267E-02 9.73324E-04 9.03321E-04 1.87664E-03 8.62266E-04 0.024529 8 4 20.0 45.0 135.0 4.09980E-02 9.63297E-04 1.07005E-03 2.03335E-03 8.53382E-04 0.026100 8 7 20.0 90.0 90.0 6.02856E-02 9.61918E-04 2.53594E-03 3.49786E-03 8.52161E-04 0.042065 7 1 30.0 0.0 180.0 3.19307E-02 9.85744E-04 7.68643E-04 1.75439E-03 8.73268E-04 0.024072 7 4 30.0 45.0 135.0 3.54042E-02 9.83806E-04 8.63944E-04 1.84775E-03 8.71552E-04 0.024402 7 7 30.0 90.0 90.0 5.16043E-02 9.77564E-04 1.51958E-03 2.49714E-03 8.66022E-04 0.029447 6 1 40.0 0.0 180.0 3.03083E-02 9.92394E-04 8.54636E-04 1.84703E-03 8.79160E-04 0.028198 6 4 40.0 45.0 135.0 3.31405E-02 9.89352E-04 9.26912E-04 1.91626E-03 8.76465E-04 0.027969 6 7 40.0 90.0 90.0 4.65287E-02 9.84614E-04 1.34486E-03 2.32948E-03 8.72267E-04 0.028904 5 1 50.0 0.0 180.0 3.17773E-02 1.00483E-03 1.35004E-03 2.35487E-03 8.90176E-04 0.042485 5 4 50.0 45.0 135.0 3.38629E-02 9.96318E-04 1.40649E-03 2.40281E-03 8.82636E-04 0.041535 5 7 50.0 90.0 90.0 4.50123E-02 9.93715E-04 1.81834E-03 2.81205E-03 8.80330E-04 0.040396 4 1 60.0 0.0 180.0 3.77201E-02 9.90169E-04 3.14497E-03 4.13514E-03 8.77188E-04 0.083377 4 4 60.0 45.0 135.0 3.85738E-02 9.80309E-04 3.10560E-03 4.08591E-03 8.68453E-04 0.080511 4 7 60.0 90.0 90.0 4.76335E-02 9.90507E-04 3.62664E-03 4.61715E-03 8.77488E-04 0.076136 3 1 70.0 0.0 180.0 5.23369E-02 9.19042E-04 8.68725E-03 9.60629E-03 8.14177E-04 0.165987 3 4 70.0 45.0 135.0 5.08638E-02 9.19493E-04 8.35874E-03 9.27824E-03 8.14577E-04 0.164336 3 7 70.0 90.0 90.0 5.68645E-02 9.29745E-04 9.08974E-03 1.00195E-02 8.23659E-04 0.159849 2 1 80.0 0.0 180.0 8.89212E-02 7.87588E-04 2.15939E-02 2.23815E-02 6.97723E-04 0.242843 2 4 80.0 45.0 135.0 8.23393E-02 7.85796E-04 2.08858E-02 2.16716E-02 6.96135E-04 0.253655 2 7 80.0 90.0 90.0 8.18047E-02 7.95450E-04 2.18731E-02 2.26686E-02 7.04688E-04 0.267382 1 1 87.5 0.0 180.0 1.43769E-01 6.34946E-04 3.80839E-02 3.87188E-02 5.62497E-04 0.264896 1 4 87.5 45.0 135.0 1.29447E-01 6.03031E-04 3.78487E-02 3.84518E-02 5.34224E-04 0.292389 1 7 87.5 90.0 90.0 1.17768E-01 6.75967E-04 3.87357E-02 3.94117E-02 5.98838E-04 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 685.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 7.201E-03 7.598E-02 9.124E-02 7.859E-02 1.180E-01 6.379E-03 5.502E+00 9.518E-04 8.432E-04 1 0.00 0.00 1.766E-03 1.414E-01 3.511E-03 4.144E-03 6.428E-03 1.611E-03 3.992E+00 3 6.51 5.00 4.741E-04 4.424E-02 7.039E-04 7.973E-04 1.077E-03 8.676E-03 3.545E+00 5 13.03 10.00 2.142E-04 2.965E-03 2.758E-04 2.799E-04 2.889E-04 6.417E-02 3.398E+00 Waveband 34 of 40 completed in 6.1 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 24.7 m at 695.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 690.0 nm to 700.0 nm: Ed(diffuse) = 2.700E-01 Ed(direct) = 8.188E-01 Ed(total) = 1.089E+00 Absorption Coefficients of Individual Components at 695.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.5590 0.0126 0.0000 0.0005 0.5721 3 6.801 5.000 0.5590 0.0126 0.0000 0.0005 0.5721 5 13.602 10.000 0.5590 0.0126 0.0000 0.0005 0.5721 Scattering Coefficients of Individual Components at 695.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0007 0.2757 0.5116 0.0000 0.7881 3 6.801 5.000 0.0007 0.2757 0.5116 0.0000 0.7881 5 13.602 10.000 0.0007 0.2757 0.5116 0.0000 0.7881 Backscattering Coefficients of Individual Components at 695.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00035 0.00387 0.00090 0.00000 0.00511 3 6.801 5.000 0.00035 0.00387 0.00090 0.00000 0.00511 5 13.602 10.000 0.00035 0.00387 0.00090 0.00000 0.00511 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 0.5721 0.7881 1.3602 0.5794 0.00511 0.00649 3 6.801 5.000 0.5721 0.7881 1.3602 0.5794 0.00511 0.00649 5 13.602 10.000 0.5721 0.7881 1.3602 0.5794 0.00511 0.00649 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.7925E-01 8 20.00 6.2288E-01 7 30.00 3.6362E-01 6 40.00 1.8222E-01 5 50.00 8.2526E-02 4 60.00 3.5800E-02 3 70.00 1.5751E-02 2 80.00 7.4073E-03 1 87.50 4.4187E-03 1 92.50 3.1648E-03 2 100.00 2.1115E-03 3 110.00 1.3650E-03 4 120.00 9.7801E-04 5 130.00 7.7245E-04 6 140.00 6.5987E-04 7 150.00 5.9703E-04 8 160.00 5.6232E-04 9 170.00 5.4488E-04 10 180.00 5.3890E-04 Asymptotic AOP values are MUu(inf) = 0.3420 MUd(inf) = 0.8442 MU(inf) = 0.8334 R(inf) = 0.0037 Lu(inf)/Ed(inf) = 0.000724 (1/sr) k(inf) = 0.6865 (1/m) absorp(check) = 0.5721 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 695.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 9.9857E-02 1.4919E+00 1.5918E+00 3.6991E-02 1.0888E+00 0.3704 0.7298 0.6608 3.3974E-02 1 0.00 0.00 1.0934E-02 1.1773E+00 1.1882E+00 4.3209E-03 1.0561E+00 0.3952 0.8971 0.8852 4.0914E-03 3 6.80 5.00 1.2701E-03 4.4544E-02 4.5814E-02 5.5892E-04 3.7343E-02 0.4401 0.8383 0.8029 1.4967E-02 5 13.60 10.00 4.4446E-04 1.9491E-03 2.3935E-03 2.1320E-04 1.4654E-03 0.4797 0.7518 0.5231 1.4549E-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 0.39612 0.60444 0.60252 0.47154 0.64343 0.64414 0.51154 5.000 5.010 5.005 0.31207 0.66747 0.65760 0.27715 0.67604 0.68211 0.24024 10.000 10.010 10.005 0.15843 0.53405 0.46419 0.15394 0.58147 0.65444 0.15013 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 5.45269E-04 6.02455E-03 6.56982E-03 5.00805E-04 0.082679 9 1 10.0 0.0 180.0 4.49620E-02 5.55014E-04 1.69691E-03 2.25193E-03 5.09756E-04 0.037741 9 4 10.0 45.0 135.0 4.94011E-02 5.52087E-04 1.97842E-03 2.53051E-03 5.07067E-04 0.040048 9 7 10.0 90.0 90.0 6.67449E-02 5.49785E-04 4.28615E-03 4.83594E-03 5.04953E-04 0.064217 8 1 20.0 0.0 180.0 3.53170E-02 5.61189E-04 8.66506E-04 1.42770E-03 5.15427E-04 0.024535 8 4 20.0 45.0 135.0 3.93173E-02 5.54403E-04 1.02674E-03 1.58115E-03 5.09195E-04 0.026114 8 7 20.0 90.0 90.0 5.78143E-02 5.52001E-04 2.43949E-03 2.99149E-03 5.06988E-04 0.042195 7 1 30.0 0.0 180.0 3.06217E-02 5.70139E-04 7.37133E-04 1.30727E-03 5.23647E-04 0.024072 7 4 30.0 45.0 135.0 3.39530E-02 5.67607E-04 8.28554E-04 1.39616E-03 5.21321E-04 0.024403 7 7 30.0 90.0 90.0 4.94878E-02 5.62025E-04 1.45876E-03 2.02079E-03 5.16195E-04 0.029477 6 1 40.0 0.0 180.0 2.90658E-02 5.76314E-04 8.19600E-04 1.39591E-03 5.29318E-04 0.028198 6 4 40.0 45.0 135.0 3.17819E-02 5.72974E-04 8.88913E-04 1.46189E-03 5.26251E-04 0.027969 6 7 40.0 90.0 90.0 4.46213E-02 5.68348E-04 1.28983E-03 1.85817E-03 5.22002E-04 0.028906 5 1 50.0 0.0 180.0 3.04746E-02 5.85883E-04 1.29470E-03 1.88058E-03 5.38107E-04 0.042485 5 4 50.0 45.0 135.0 3.24747E-02 5.79365E-04 1.34884E-03 1.92820E-03 5.32121E-04 0.041535 5 7 50.0 90.0 90.0 4.31670E-02 5.76804E-04 1.74379E-03 2.32060E-03 5.29768E-04 0.040396 4 1 60.0 0.0 180.0 3.61738E-02 5.79844E-04 3.01605E-03 3.59589E-03 5.32561E-04 0.083377 4 4 60.0 45.0 135.0 3.69924E-02 5.72652E-04 2.97829E-03 3.55094E-03 5.25955E-04 0.080511 4 7 60.0 90.0 90.0 4.56808E-02 5.78690E-04 3.47797E-03 4.05666E-03 5.31501E-04 0.076136 3 1 70.0 0.0 180.0 5.01914E-02 5.41176E-04 8.33112E-03 8.87230E-03 4.97046E-04 0.165987 3 4 70.0 45.0 135.0 4.87787E-02 5.40457E-04 8.01608E-03 8.55654E-03 4.96386E-04 0.164336 3 7 70.0 90.0 90.0 5.45334E-02 5.48310E-04 8.71711E-03 9.26542E-03 5.03598E-04 0.159849 2 1 80.0 0.0 180.0 8.52759E-02 4.66400E-04 2.07087E-02 2.11751E-02 4.28368E-04 0.242843 2 4 80.0 45.0 135.0 7.89638E-02 4.64884E-04 2.00296E-02 2.04945E-02 4.26975E-04 0.253655 2 7 80.0 90.0 90.0 7.84512E-02 4.73576E-04 2.09764E-02 2.14500E-02 4.34959E-04 0.267382 1 1 87.5 0.0 180.0 1.37875E-01 3.78448E-04 3.65226E-02 3.69011E-02 3.47588E-04 0.264896 1 4 87.5 45.0 135.0 1.24140E-01 3.59376E-04 3.62971E-02 3.66565E-02 3.30071E-04 0.292389 1 7 87.5 90.0 90.0 1.12940E-01 4.06897E-04 3.71477E-02 3.75546E-02 3.73717E-04 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 695.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 6.570E-03 7.287E-02 8.739E-02 7.525E-02 1.131E-01 6.034E-03 5.630E+00 5.453E-04 5.008E-04 1 0.00 0.00 1.012E-03 1.356E-01 2.304E-03 2.850E-03 4.871E-03 9.579E-04 4.271E+00 3 6.80 5.00 1.531E-04 3.138E-02 2.525E-04 3.094E-04 4.794E-04 4.101E-03 3.650E+00 5 13.60 10.00 6.335E-05 1.478E-03 8.002E-05 8.177E-05 8.561E-05 4.323E-02 3.366E+00 Waveband 35 of 40 completed in 6.2 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 23.4 m at 705.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 700.0 nm to 710.0 nm: Ed(diffuse) = 2.706E-01 Ed(direct) = 8.263E-01 Ed(total) = 1.097E+00 Absorption Coefficients of Individual Components at 705.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.7040 0.0062 0.0000 0.0004 0.7106 3 7.493 5.000 0.7040 0.0062 0.0000 0.0004 0.7106 5 14.986 10.000 0.7040 0.0062 0.0000 0.0004 0.7106 Scattering Coefficients of Individual Components at 705.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0007 0.2757 0.5116 0.0000 0.7880 3 7.493 5.000 0.0007 0.2757 0.5116 0.0000 0.7880 5 14.986 10.000 0.0007 0.2757 0.5116 0.0000 0.7880 Backscattering Coefficients of Individual Components at 705.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00033 0.00387 0.00090 0.00000 0.00509 3 7.493 5.000 0.00033 0.00387 0.00090 0.00000 0.00509 5 14.986 10.000 0.00033 0.00387 0.00090 0.00000 0.00509 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 0.7106 0.7880 1.4986 0.5258 0.00509 0.00646 3 7.493 5.000 0.7106 0.7880 1.4986 0.5258 0.00509 0.00646 5 14.986 10.000 0.7106 0.7880 1.4986 0.5258 0.00509 0.00646 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.6358E-01 8 20.00 5.8377E-01 7 30.00 3.1841E-01 6 40.00 1.4761E-01 5 50.00 6.1975E-02 4 60.00 2.5267E-02 3 70.00 1.0672E-02 2 80.00 4.9207E-03 1 87.50 2.9245E-03 1 92.50 2.1038E-03 2 100.00 1.4120E-03 3 110.00 9.2134E-04 4 120.00 6.6839E-04 5 130.00 5.3457E-04 6 140.00 4.6152E-04 7 150.00 4.2085E-04 8 160.00 3.9847E-04 9 170.00 3.8726E-04 10 180.00 3.8341E-04 Asymptotic AOP values are MUu(inf) = 0.3473 MUd(inf) = 0.8594 MU(inf) = 0.8510 R(inf) = 0.0029 Lu(inf)/Ed(inf) = 0.000573 (1/sr) k(inf) = 0.8351 (1/m) absorp(check) = 0.7107 = 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 9.9029E-02 1.5018E+00 1.6008E+00 3.6569E-02 1.0969E+00 0.3693 0.7304 0.6624 3.3337E-02 1 0.00 0.00 7.5905E-03 1.1833E+00 1.1909E+00 2.8860E-03 1.0632E+00 0.3802 0.8985 0.8904 2.7144E-03 3 7.49 5.00 2.9569E-04 2.0153E-02 2.0449E-02 1.2498E-04 1.7193E-02 0.4227 0.8531 0.8347 7.2695E-03 5 14.99 10.00 8.0080E-05 3.9423E-04 4.7431E-04 3.9012E-05 3.0558E-04 0.4872 0.7751 0.5620 1.2767E-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 0.57037 0.75977 0.75857 0.67388 0.79745 0.79779 0.73999 5.000 5.010 5.005 0.47012 0.82955 0.82434 0.41240 0.83419 0.83729 0.34483 10.000 10.010 10.005 0.15933 0.67111 0.58452 0.15426 0.72609 0.81005 0.15032 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 3.48061E-04 6.06697E-03 6.41503E-03 3.17307E-04 0.083090 9 1 10.0 0.0 180.0 4.50545E-02 3.55412E-04 1.70444E-03 2.05985E-03 3.24008E-04 0.037831 9 4 10.0 45.0 135.0 4.95027E-02 3.53192E-04 1.98768E-03 2.34087E-03 3.21985E-04 0.040153 9 7 10.0 90.0 90.0 6.68822E-02 3.51003E-04 4.31355E-03 4.66455E-03 3.19989E-04 0.064495 8 1 20.0 0.0 180.0 3.53897E-02 3.60272E-04 8.68492E-04 1.22876E-03 3.28440E-04 0.024541 8 4 20.0 45.0 135.0 3.93982E-02 3.55274E-04 1.02938E-03 1.38466E-03 3.23883E-04 0.026128 8 7 20.0 90.0 90.0 5.79332E-02 3.52608E-04 2.45157E-03 2.80418E-03 3.21452E-04 0.042317 7 1 30.0 0.0 180.0 3.06847E-02 3.66909E-04 7.38649E-04 1.10556E-03 3.34490E-04 0.024072 7 4 30.0 45.0 135.0 3.40230E-02 3.64375E-04 8.30284E-04 1.19466E-03 3.32179E-04 0.024404 7 7 30.0 90.0 90.0 4.95886E-02 3.59337E-04 1.46315E-03 1.82249E-03 3.27587E-04 0.029506 6 1 40.0 0.0 180.0 2.91256E-02 3.71914E-04 8.21286E-04 1.19320E-03 3.39053E-04 0.028198 6 4 40.0 45.0 135.0 3.18473E-02 3.68733E-04 8.90742E-04 1.25947E-03 3.36152E-04 0.027969 6 7 40.0 90.0 90.0 4.47131E-02 3.64162E-04 1.29257E-03 1.65673E-03 3.31985E-04 0.028908 5 1 50.0 0.0 180.0 3.05372E-02 3.79083E-04 1.29736E-03 1.67644E-03 3.45588E-04 0.042485 5 4 50.0 45.0 135.0 3.25416E-02 3.73799E-04 1.35161E-03 1.72541E-03 3.40771E-04 0.041535 5 7 50.0 90.0 90.0 4.32558E-02 3.70807E-04 1.74738E-03 2.11819E-03 3.38043E-04 0.040396 4 1 60.0 0.0 180.0 3.62482E-02 3.76225E-04 3.02225E-03 3.39848E-03 3.42983E-04 0.083377 4 4 60.0 45.0 135.0 3.70685E-02 3.70518E-04 2.98442E-03 3.35493E-03 3.37780E-04 0.080511 4 7 60.0 90.0 90.0 4.57748E-02 3.73492E-04 3.48512E-03 3.85861E-03 3.40491E-04 0.076136 3 1 70.0 0.0 180.0 5.02946E-02 3.52380E-04 8.34826E-03 8.70064E-03 3.21245E-04 0.165987 3 4 70.0 45.0 135.0 4.88790E-02 3.51064E-04 8.03257E-03 8.38364E-03 3.20045E-04 0.164336 3 7 70.0 90.0 90.0 5.46456E-02 3.55982E-04 8.73504E-03 9.09102E-03 3.24528E-04 0.159849 2 1 80.0 0.0 180.0 8.54513E-02 3.04803E-04 2.07513E-02 2.10561E-02 2.77871E-04 0.242843 2 4 80.0 45.0 135.0 7.91262E-02 3.03243E-04 2.00708E-02 2.03740E-02 2.76449E-04 0.253655 2 7 80.0 90.0 90.0 7.86126E-02 3.09320E-04 2.10196E-02 2.13289E-02 2.81989E-04 0.267382 1 1 87.5 0.0 180.0 1.38159E-01 2.48381E-04 3.65978E-02 3.68461E-02 2.26435E-04 0.264896 1 4 87.5 45.0 135.0 1.24395E-01 2.35556E-04 3.63718E-02 3.66074E-02 2.14743E-04 0.292389 1 7 87.5 90.0 90.0 1.13172E-01 2.67669E-04 3.72242E-02 3.74918E-02 2.44018E-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 6.415E-03 7.302E-02 8.750E-02 7.533E-02 1.132E-01 5.848E-03 5.700E+00 3.481E-04 3.173E-04 1 0.00 0.00 6.457E-04 1.358E-01 1.650E-03 2.099E-03 3.794E-03 6.073E-04 4.469E+00 3 7.49 5.00 3.352E-05 1.535E-02 6.132E-05 8.128E-05 1.400E-04 1.950E-03 3.729E+00 5 14.99 10.00 1.203E-05 3.436E-04 1.391E-05 1.418E-05 1.476E-05 3.938E-02 3.242E+00 Waveband 36 of 40 completed in 6.5 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 21.1 m at 715.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 710.0 nm to 720.0 nm: Ed(diffuse) = 2.466E-01 Ed(direct) = 7.579E-01 Ed(total) = 1.004E+00 Absorption Coefficients of Individual Components at 715.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 1.0070 0.0005 0.0000 0.0004 1.0078 3 8.979 5.000 1.0070 0.0005 0.0000 0.0004 1.0078 5 17.958 10.000 1.0070 0.0005 0.0000 0.0004 1.0078 Scattering Coefficients of Individual Components at 715.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0006 0.2757 0.5116 0.0000 0.7880 3 8.979 5.000 0.0006 0.2757 0.5116 0.0000 0.7880 5 17.958 10.000 0.0006 0.2757 0.5116 0.0000 0.7880 Backscattering Coefficients of Individual Components at 715.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00031 0.00387 0.00090 0.00000 0.00507 3 8.979 5.000 0.00031 0.00387 0.00090 0.00000 0.00507 5 17.958 10.000 0.00031 0.00387 0.00090 0.00000 0.00507 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 1.0078 0.7880 1.7958 0.4388 0.00507 0.00644 3 8.979 5.000 1.0078 0.7880 1.7958 0.4388 0.00507 0.00644 5 17.958 10.000 1.0078 0.7880 1.7958 0.4388 0.00507 0.00644 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.3374E-01 8 20.00 5.1496E-01 7 30.00 2.4750E-01 6 40.00 9.9895E-02 5 50.00 3.6990E-02 4 60.00 1.3757E-02 3 70.00 5.5339E-03 2 80.00 2.5161E-03 1 87.50 1.5009E-03 1 92.50 1.0915E-03 2 100.00 7.4167E-04 3 110.00 4.9207E-04 4 120.00 3.6421E-04 5 130.00 2.9689E-04 6 140.00 2.6027E-04 7 150.00 2.3996E-04 8 160.00 2.2884E-04 9 170.00 2.2331E-04 10 180.00 2.2140E-04 Asymptotic AOP values are MUu(inf) = 0.3560 MUd(inf) = 0.8817 MU(inf) = 0.8760 R(inf) = 0.0019 Lu(inf)/Ed(inf) = 0.000396 (1/sr) k(inf) = 1.1507 (1/m) absorp(check) = 1.0079 = 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 8.9714E-02 1.3742E+00 1.4639E+00 3.3091E-02 1.0045E+00 0.3688 0.7310 0.6636 3.2943E-02 1 0.00 0.00 4.7197E-03 1.0817E+00 1.0864E+00 1.7695E-03 9.7315E-01 0.3749 0.8997 0.8941 1.8184E-03 3 8.98 5.00 5.6832E-05 3.5089E-03 3.5657E-03 2.6203E-05 3.0428E-03 0.4611 0.8672 0.8460 8.6114E-03 5 17.96 10.00 2.0193E-05 3.3566E-05 5.3758E-05 1.0129E-05 2.1242E-05 0.5016 0.6329 0.2067 4.7681E-01 K-functions (units of 1/meter) at 715.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.92041 1.09326 1.09250 1.02046 1.12703 1.12723 1.08487 5.000 5.010 5.005 0.43230 1.14985 1.13837 0.36462 1.15545 1.16235 0.29528 10.000 10.010 10.005 0.14998 0.45216 0.33855 0.15001 0.57246 0.95902 0.15116 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 2.12736E-04 5.55348E-03 5.76622E-03 2.11788E-04 0.083471 9 1 10.0 0.0 180.0 4.10531E-02 2.17555E-04 1.55646E-03 1.77402E-03 2.16586E-04 0.037913 9 4 10.0 45.0 135.0 4.51062E-02 2.16081E-04 1.81552E-03 2.03160E-03 2.15119E-04 0.040250 9 7 10.0 90.0 90.0 6.09422E-02 2.14476E-04 3.94612E-03 4.16060E-03 2.13521E-04 0.064752 8 1 20.0 0.0 180.0 3.22466E-02 2.20697E-04 7.91531E-04 1.01223E-03 2.19714E-04 0.024546 8 4 20.0 45.0 135.0 3.58992E-02 2.17417E-04 9.38408E-04 1.15582E-03 2.16448E-04 0.026140 8 7 20.0 90.0 90.0 5.27880E-02 2.15342E-04 2.23980E-03 2.45514E-03 2.14382E-04 0.042430 7 1 30.0 0.0 180.0 2.79595E-02 2.24874E-04 6.73047E-04 8.97921E-04 2.23872E-04 0.024072 7 4 30.0 45.0 135.0 3.10015E-02 2.23005E-04 7.56566E-04 9.79571E-04 2.22012E-04 0.024404 7 7 30.0 90.0 90.0 4.51837E-02 2.19306E-04 1.33438E-03 1.55368E-03 2.18329E-04 0.029532 6 1 40.0 0.0 180.0 2.65389E-02 2.27941E-04 7.48345E-04 9.76286E-04 2.26925E-04 0.028198 6 4 40.0 45.0 135.0 2.90189E-02 2.25625E-04 8.11633E-04 1.03726E-03 2.24619E-04 0.027969 6 7 40.0 90.0 90.0 4.07420E-02 2.22026E-04 1.17785E-03 1.39988E-03 2.21037E-04 0.028910 5 1 50.0 0.0 180.0 2.78252E-02 2.32297E-04 1.18214E-03 1.41444E-03 2.31262E-04 0.042485 5 4 50.0 45.0 135.0 2.96514E-02 2.28643E-04 1.23157E-03 1.46021E-03 2.27624E-04 0.041535 5 7 50.0 90.0 90.0 3.94141E-02 2.25911E-04 1.59219E-03 1.81810E-03 2.24904E-04 0.040396 4 1 60.0 0.0 180.0 3.30289E-02 2.30502E-04 2.75384E-03 2.98434E-03 2.29475E-04 0.083377 4 4 60.0 45.0 135.0 3.37764E-02 2.26554E-04 2.71936E-03 2.94592E-03 2.25545E-04 0.080511 4 7 60.0 90.0 90.0 4.17094E-02 2.27405E-04 3.17560E-03 3.40300E-03 2.26392E-04 0.076136 3 1 70.0 0.0 180.0 4.58278E-02 2.15850E-04 7.60683E-03 7.82268E-03 2.14888E-04 0.165987 3 4 70.0 45.0 135.0 4.45379E-02 2.14602E-04 7.31918E-03 7.53378E-03 2.13646E-04 0.164336 3 7 70.0 90.0 90.0 4.97924E-02 2.16661E-04 7.95926E-03 8.17592E-03 2.15696E-04 0.159849 2 1 80.0 0.0 180.0 7.78622E-02 1.86693E-04 1.89083E-02 1.90950E-02 1.85861E-04 0.242843 2 4 80.0 45.0 135.0 7.20988E-02 1.85353E-04 1.82883E-02 1.84736E-02 1.84527E-04 0.253655 2 7 80.0 90.0 90.0 7.16308E-02 1.88237E-04 1.91528E-02 1.93410E-02 1.87399E-04 0.267382 1 1 87.5 0.0 180.0 1.25889E-01 1.52157E-04 3.33474E-02 3.34996E-02 1.51479E-04 0.264896 1 4 87.5 45.0 135.0 1.13347E-01 1.44010E-04 3.31415E-02 3.32855E-02 1.43369E-04 0.292389 1 7 87.5 90.0 90.0 1.03121E-01 1.62932E-04 3.39182E-02 3.40811E-02 1.62206E-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 5.766E-03 6.653E-02 7.969E-02 6.860E-02 1.031E-01 5.741E-03 5.739E+00 2.127E-04 2.118E-04 1 0.00 0.00 3.947E-04 1.238E-01 1.079E-03 1.380E-03 2.536E-03 4.056E-04 4.483E+00 3 8.98 5.00 8.004E-06 3.013E-03 1.055E-05 1.276E-05 1.904E-05 2.630E-03 3.274E+00 5 17.96 10.00 3.324E-06 1.784E-05 3.271E-06 3.276E-06 3.287E-06 1.565E-01 3.047E+00 Waveband 37 of 40 completed in 7.4 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 18.8 m at 725.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 720.0 nm to 730.0 nm: Ed(diffuse) = 2.217E-01 Ed(direct) = 6.861E-01 Ed(total) = 9.077E-01 Absorption Coefficients of Individual Components at 725.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 1.4890 0.0000 0.0000 0.0003 1.4893 3 11.386 5.000 1.4890 0.0000 0.0000 0.0003 1.4893 5 22.773 10.000 1.4890 0.0000 0.0000 0.0003 1.4893 Scattering Coefficients of Individual Components at 725.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0006 0.2757 0.5116 0.0000 0.7879 3 11.386 5.000 0.0006 0.2757 0.5116 0.0000 0.7879 5 22.773 10.000 0.0006 0.2757 0.5116 0.0000 0.7879 Backscattering Coefficients of Individual Components at 725.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00029 0.00387 0.00090 0.00000 0.00506 3 11.386 5.000 0.00029 0.00387 0.00090 0.00000 0.00506 5 22.773 10.000 0.00029 0.00387 0.00090 0.00000 0.00506 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 1.4893 0.7879 2.2773 0.3460 0.00506 0.00642 3 11.386 5.000 1.4893 0.7879 2.2773 0.3460 0.00506 0.00642 5 22.773 10.000 1.4893 0.7879 2.2773 0.3460 0.00506 0.00642 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 7.9244E-01 8 20.00 4.3117E-01 7 30.00 1.7520E-01 6 40.00 5.9656E-02 5 50.00 1.9262E-02 4 60.00 6.6104E-03 3 70.00 2.5941E-03 2 80.00 1.1873E-03 1 87.50 7.1703E-04 1 92.50 5.2849E-04 2 100.00 3.6406E-04 3 110.00 2.4594E-04 4 120.00 1.8583E-04 5 130.00 1.5428E-04 6 140.00 1.3715E-04 7 150.00 1.2768E-04 8 160.00 1.2253E-04 9 170.00 1.2000E-04 10 180.00 1.1913E-04 Asymptotic AOP values are MUu(inf) = 0.3649 MUd(inf) = 0.9033 MU(inf) = 0.8995 R(inf) = 0.0012 Lu(inf)/Ed(inf) = 0.000263 (1/sr) k(inf) = 1.6558 (1/m) absorp(check) = 1.4895 = 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 8.0393E-02 1.2409E+00 1.3212E+00 2.9651E-02 9.0772E-01 0.3688 0.7315 0.6646 3.2665E-02 1 0.00 0.00 2.8587E-03 9.7632E-01 9.7918E-01 1.0655E-03 8.7913E-01 0.3727 0.9005 0.8967 1.2119E-03 3 11.39 5.00 2.3074E-05 2.4431E-04 2.6738E-04 1.1627E-05 2.0805E-04 0.5039 0.8516 0.7346 5.5884E-02 5 22.77 10.00 1.0123E-05 1.1350E-05 2.1473E-05 5.1172E-06 5.9583E-06 0.5055 0.5249 0.0392 8.5884E-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 1.48786 1.63371 1.63328 1.55832 1.66077 1.66089 1.60261 5.000 5.010 5.005 0.20309 1.52645 1.41156 0.19195 1.58588 1.66900 0.18349 10.000 10.010 10.005 0.16609 0.16416 0.16507 0.16678 0.16956 0.18652 0.16848 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 725.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 5.98140E-02 1.28918E-04 5.01651E-03 5.14542E-03 1.42024E-04 0.083868 9 1 10.0 0.0 180.0 3.69077E-02 1.31925E-04 1.40249E-03 1.53441E-03 1.45337E-04 0.038000 9 4 10.0 45.0 135.0 4.05516E-02 1.30996E-04 1.63631E-03 1.76730E-03 1.44313E-04 0.040351 9 7 10.0 90.0 90.0 5.47885E-02 1.29936E-04 3.56238E-03 3.69232E-03 1.43145E-04 0.065021 8 1 20.0 0.0 180.0 2.89905E-02 1.33851E-04 7.11767E-04 8.45618E-04 1.47459E-04 0.024552 8 4 20.0 45.0 135.0 3.22742E-02 1.31789E-04 8.44069E-04 9.75858E-04 1.45187E-04 0.026153 8 7 20.0 90.0 90.0 4.74577E-02 1.30381E-04 2.01923E-03 2.14961E-03 1.43635E-04 0.042548 7 1 30.0 0.0 180.0 2.51363E-02 1.36374E-04 6.05085E-04 7.41459E-04 1.50238E-04 0.024072 7 4 30.0 45.0 135.0 2.78712E-02 1.35135E-04 6.80191E-04 8.15325E-04 1.48873E-04 0.024405 7 7 30.0 90.0 90.0 4.06205E-02 1.32674E-04 1.20074E-03 1.33341E-03 1.46162E-04 0.029560 6 1 40.0 0.0 180.0 2.38591E-02 1.38145E-04 6.72780E-04 8.10925E-04 1.52189E-04 0.028198 6 4 40.0 45.0 135.0 2.60886E-02 1.36620E-04 7.29677E-04 8.66297E-04 1.50509E-04 0.027969 6 7 40.0 90.0 90.0 3.66280E-02 1.34133E-04 1.05899E-03 1.19312E-03 1.47769E-04 0.028912 5 1 50.0 0.0 180.0 2.50155E-02 1.40681E-04 1.06277E-03 1.20345E-03 1.54983E-04 0.042485 5 4 50.0 45.0 135.0 2.66574E-02 1.38324E-04 1.10721E-03 1.24553E-03 1.52386E-04 0.041535 5 7 50.0 90.0 90.0 3.54342E-02 1.36293E-04 1.43142E-03 1.56771E-03 1.50149E-04 0.040396 4 1 60.0 0.0 180.0 2.96938E-02 1.39483E-04 2.47576E-03 2.61525E-03 1.53664E-04 0.083377 4 4 60.0 45.0 135.0 3.03658E-02 1.36929E-04 2.44477E-03 2.58170E-03 1.50849E-04 0.080511 4 7 60.0 90.0 90.0 3.74977E-02 1.37004E-04 2.85494E-03 2.99194E-03 1.50932E-04 0.076136 3 1 70.0 0.0 180.0 4.12003E-02 1.30491E-04 6.83872E-03 6.96921E-03 1.43757E-04 0.165987 3 4 70.0 45.0 135.0 4.00407E-02 1.29563E-04 6.58011E-03 6.70968E-03 1.42734E-04 0.164336 3 7 70.0 90.0 90.0 4.47645E-02 1.30327E-04 7.15556E-03 7.28589E-03 1.43576E-04 0.159849 2 1 80.0 0.0 180.0 6.99999E-02 1.12766E-04 1.69990E-02 1.71118E-02 1.24230E-04 0.242843 2 4 80.0 45.0 135.0 6.48186E-02 1.11794E-04 1.64416E-02 1.65534E-02 1.23159E-04 0.253655 2 7 80.0 90.0 90.0 6.43978E-02 1.13073E-04 1.72188E-02 1.73319E-02 1.24568E-04 0.267382 1 1 87.5 0.0 180.0 1.13177E-01 9.18333E-05 2.99801E-02 3.00720E-02 1.01169E-04 0.264896 1 4 87.5 45.0 135.0 1.01902E-01 8.67858E-05 2.97950E-02 2.98818E-02 9.56085E-05 0.292389 1 7 87.5 90.0 90.0 9.27084E-02 9.77478E-05 3.04933E-02 3.05910E-02 1.07685E-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 5.145E-03 5.981E-02 7.162E-02 6.165E-02 9.267E-02 5.669E-03 5.763E+00 1.289E-04 1.420E-04 1 0.00 0.00 2.392E-04 1.113E-01 7.003E-04 8.942E-04 1.651E-03 2.721E-04 4.454E+00 3 11.39 5.00 3.902E-06 2.292E-04 3.675E-06 3.758E-06 3.986E-06 1.875E-02 2.980E+00 5 22.77 10.00 1.707E-06 2.198E-06 1.604E-06 1.604E-06 1.604E-06 2.865E-01 2.998E+00 Waveband 38 of 40 completed in 8.9 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 16.9 m at 735.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 730.0 nm to 740.0 nm: Ed(diffuse) = 2.418E-01 Ed(direct) = 7.532E-01 Ed(total) = 9.950E-01 Absorption Coefficients of Individual Components at 735.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 2.1289 0.0000 0.0000 0.0003 2.1292 3 14.585 5.000 2.1289 0.0000 0.0000 0.0003 2.1292 5 29.171 10.000 2.1289 0.0000 0.0000 0.0003 2.1292 Scattering Coefficients of Individual Components at 735.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0005 0.2757 0.5116 0.0000 0.7879 3 14.585 5.000 0.0005 0.2757 0.5116 0.0000 0.7879 5 29.171 10.000 0.0005 0.2757 0.5116 0.0000 0.7879 Backscattering Coefficients of Individual Components at 735.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00027 0.00387 0.00090 0.00000 0.00504 3 14.585 5.000 0.00027 0.00387 0.00090 0.00000 0.00504 5 29.171 10.000 0.00027 0.00387 0.00090 0.00000 0.00504 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 2.1292 0.7879 2.9171 0.2701 0.00504 0.00640 3 14.585 5.000 2.1292 0.7879 2.9171 0.2701 0.00504 0.00640 5 29.171 10.000 2.1292 0.7879 2.9171 0.2701 0.00504 0.00640 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 7.4570E-01 8 20.00 3.5098E-01 7 30.00 1.1938E-01 6 40.00 3.4549E-02 5 50.00 9.9885E-03 4 60.00 3.2795E-03 3 70.00 1.2918E-03 2 80.00 6.0218E-04 1 87.50 3.6838E-04 1 92.50 2.7441E-04 2 100.00 1.9106E-04 3 110.00 1.3100E-04 4 120.00 1.0062E-04 5 130.00 8.4712E-05 6 140.00 7.6066E-05 7 150.00 7.1295E-05 8 160.00 6.8727E-05 9 170.00 6.7479E-05 10 180.00 6.7048E-05 Asymptotic AOP values are MUu(inf) = 0.3720 MUd(inf) = 0.9201 MU(inf) = 0.9176 R(inf) = 0.0008 Lu(inf)/Ed(inf) = 0.000182 (1/sr) k(inf) = 2.3208 (1/m) absorp(check) = 2.1294 = 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 8.7562E-02 1.3591E+00 1.4467E+00 3.2313E-02 9.9497E-01 0.3690 0.7321 0.6654 3.2476E-02 1 0.00 0.00 2.1713E-03 1.0693E+00 1.0715E+00 8.0509E-04 9.6346E-01 0.3708 0.9010 0.8984 8.3562E-04 3 14.59 5.00 1.2220E-05 2.0648E-05 3.2868E-05 6.2359E-06 1.3616E-05 0.5103 0.6594 0.2245 4.5799E-01 5 29.17 10.00 4.7888E-06 5.2409E-06 1.0030E-05 2.4324E-06 2.7384E-06 0.5079 0.5225 0.0305 8.8827E-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 2.25613 2.35174 2.35154 2.28141 2.36994 2.37001 2.30221 5.000 5.010 5.005 0.19229 0.94270 0.66305 0.19292 1.23253 2.11948 0.19496 10.000 10.010 10.005 0.19222 0.18436 0.18811 0.19289 0.18516 0.12373 0.19462 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 9.76014E-05 5.49659E-03 5.59419E-03 9.80950E-05 0.084245 9 1 10.0 0.0 180.0 4.02588E-02 9.99269E-05 1.53313E-03 1.63306E-03 1.00432E-04 0.038082 9 4 10.0 45.0 135.0 4.42335E-02 9.92053E-05 1.78913E-03 1.88833E-03 9.97071E-05 0.040447 9 7 10.0 90.0 90.0 5.97632E-02 9.83600E-05 3.90105E-03 3.99941E-03 9.88574E-05 0.065275 8 1 20.0 0.0 180.0 3.16227E-02 1.01411E-04 7.76560E-04 8.77971E-04 1.01924E-04 0.024557 8 4 20.0 45.0 135.0 3.52046E-02 9.98111E-05 9.21141E-04 1.02095E-03 1.00316E-04 0.026165 8 7 20.0 90.0 90.0 5.17667E-02 9.86709E-05 2.20836E-03 2.30703E-03 9.91699E-05 0.042660 7 1 30.0 0.0 180.0 2.74186E-02 1.03336E-04 6.60025E-04 7.63361E-04 1.03858E-04 0.024072 7 4 30.0 45.0 135.0 3.04019E-02 1.02341E-04 7.41971E-04 8.44311E-04 1.02858E-04 0.024405 7 7 30.0 90.0 90.0 4.43079E-02 1.00372E-04 1.31090E-03 1.41127E-03 1.00879E-04 0.029586 6 1 40.0 0.0 180.0 2.60254E-02 1.04659E-04 7.33866E-04 8.38526E-04 1.05189E-04 0.028198 6 4 40.0 45.0 135.0 2.84574E-02 1.03444E-04 7.95930E-04 8.99373E-04 1.03967E-04 0.027969 6 7 40.0 90.0 90.0 3.99538E-02 1.01415E-04 1.15521E-03 1.25663E-03 1.01928E-04 0.028914 5 1 50.0 0.0 180.0 2.72868E-02 1.06556E-04 1.15927E-03 1.26582E-03 1.07095E-04 0.042485 5 4 50.0 45.0 135.0 2.90778E-02 1.04700E-04 1.20774E-03 1.31244E-03 1.05229E-04 0.041535 5 7 50.0 90.0 90.0 3.86516E-02 1.02991E-04 1.56139E-03 1.66438E-03 1.03512E-04 0.040396 4 1 60.0 0.0 180.0 3.23899E-02 1.05620E-04 2.70056E-03 2.80618E-03 1.06154E-04 0.083377 4 4 60.0 45.0 135.0 3.31229E-02 1.03607E-04 2.66675E-03 2.77036E-03 1.04131E-04 0.080511 4 7 60.0 90.0 90.0 4.09024E-02 1.03469E-04 3.11416E-03 3.21763E-03 1.03992E-04 0.076136 3 1 70.0 0.0 180.0 4.49412E-02 9.87753E-05 7.45965E-03 7.55843E-03 9.92748E-05 0.165987 3 4 70.0 45.0 135.0 4.36762E-02 9.79915E-05 7.17757E-03 7.27556E-03 9.84871E-05 0.164336 3 7 70.0 90.0 90.0 4.88290E-02 9.83610E-05 7.80527E-03 7.90363E-03 9.88585E-05 0.159849 2 1 80.0 0.0 180.0 7.63557E-02 8.53307E-05 1.85425E-02 1.86278E-02 8.57622E-05 0.242843 2 4 80.0 45.0 135.0 7.07039E-02 8.45210E-05 1.79344E-02 1.80189E-02 8.49485E-05 0.253655 2 7 80.0 90.0 90.0 7.02449E-02 8.52901E-05 1.87822E-02 1.88675E-02 8.57215E-05 0.267382 1 1 87.5 0.0 180.0 1.23453E-01 6.94703E-05 3.27022E-02 3.27717E-02 6.98217E-05 0.264896 1 4 87.5 45.0 135.0 1.11154E-01 6.55936E-05 3.25003E-02 3.25659E-02 6.59253E-05 0.292389 1 7 87.5 90.0 90.0 1.01126E-01 7.36907E-05 3.32619E-02 3.33356E-02 7.40634E-05 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 5.594E-03 6.524E-02 7.811E-02 6.723E-02 1.011E-01 5.622E-03 5.776E+00 9.760E-05 9.810E-05 1 0.00 0.00 1.811E-04 1.214E-01 5.764E-04 7.359E-04 1.358E-03 1.880E-04 4.446E+00 3 14.59 5.00 2.129E-06 1.154E-05 1.890E-06 1.892E-06 1.897E-06 1.564E-01 2.929E+00 5 29.17 10.00 8.200E-07 9.781E-07 7.486E-07 7.486E-07 7.486E-07 2.994E-01 2.966E+00 Waveband 39 of 40 completed in 10.8 sec. * * * * * Output for wavelength band 40 (740.0 to 750.0 nm; nominal wavelength = 745.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 16.2 m at 745.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 740.0 nm to 750.0 nm: Ed(diffuse) = 2.544E-01 Ed(direct) = 7.973E-01 Ed(total) = 1.052E+00 Absorption Coefficients of Individual Components at 745.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 2.4590 0.0000 0.0000 0.0002 2.4592 3 16.236 5.000 2.4590 0.0000 0.0000 0.0002 2.4592 5 32.471 10.000 2.4590 0.0000 0.0000 0.0002 2.4592 Scattering Coefficients of Individual Components at 745.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0005 0.2757 0.5116 0.0000 0.7879 3 16.236 5.000 0.0005 0.2757 0.5116 0.0000 0.7879 5 32.471 10.000 0.0005 0.2757 0.5116 0.0000 0.7879 Backscattering Coefficients of Individual Components at 745.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00026 0.00387 0.00090 0.00000 0.00502 3 16.236 5.000 0.00026 0.00387 0.00090 0.00000 0.00502 5 32.471 10.000 0.00026 0.00387 0.00090 0.00000 0.00502 Summary of Inherent Optical Properties at 745.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 2.4592 0.7879 3.2471 0.2426 0.00502 0.00638 3 16.236 5.000 2.4592 0.7879 3.2471 0.2426 0.00502 0.00638 5 32.471 10.000 2.4592 0.7879 3.2471 0.2426 0.00502 0.00638 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 7.2405E-01 8 20.00 3.1860E-01 7 30.00 1.0028E-01 6 40.00 2.7188E-02 5 50.00 7.5680E-03 4 60.00 2.4622E-03 3 70.00 9.7664E-04 2 80.00 4.5916E-04 1 87.50 2.8216E-04 1 92.50 2.1091E-04 2 100.00 1.4737E-04 3 110.00 1.0156E-04 4 120.00 7.8456E-05 5 130.00 6.6351E-05 6 140.00 5.9768E-05 7 150.00 5.6137E-05 8 160.00 5.4191E-05 9 170.00 5.3250E-05 10 180.00 5.2925E-05 Asymptotic AOP values are MUu(inf) = 0.3744 MUd(inf) = 0.9262 MU(inf) = 0.9240 R(inf) = 0.0007 Lu(inf)/Ed(inf) = 0.000156 (1/sr) k(inf) = 2.6620 (1/m) absorp(check) = 2.4596 = 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 9.2181E-02 1.4356E+00 1.5277E+00 3.4062E-02 1.0517E+00 0.3695 0.7326 0.6661 3.2389E-02 1 0.00 0.00 1.9758E-03 1.1299E+00 1.1319E+00 7.3086E-04 1.0183E+00 0.3699 0.9012 0.8990 7.1771E-04 3 16.24 5.00 7.7643E-06 9.7995E-06 1.7564E-05 3.9670E-06 5.6510E-06 0.5109 0.5767 0.0959 7.0199E-01 5 32.47 10.00 2.5472E-06 2.7919E-06 5.3391E-06 1.2951E-06 1.4608E-06 0.5084 0.5232 0.0311 8.8652E-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 2.65419 2.72172 2.72160 2.65759 2.73553 2.73558 2.66872 5.000 5.010 5.005 0.22999 0.53290 0.39888 0.23114 0.72519 1.89870 0.23367 10.000 10.010 10.005 0.22383 0.21702 0.22027 0.22457 0.21800 0.16668 0.22657 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 8.85264E-05 5.80772E-03 5.89624E-03 8.41775E-05 0.084603 9 1 10.0 0.0 180.0 4.23580E-02 9.06479E-05 1.61637E-03 1.70702E-03 8.61948E-05 0.038160 9 4 10.0 45.0 135.0 4.65400E-02 8.99895E-05 1.88665E-03 1.97664E-03 8.55687E-05 0.040538 9 7 10.0 90.0 90.0 6.28794E-02 8.92145E-05 4.11964E-03 4.20885E-03 8.48318E-05 0.065516 8 1 20.0 0.0 180.0 3.32716E-02 9.20057E-05 8.17220E-04 9.09225E-04 8.74858E-05 0.024562 8 4 20.0 45.0 135.0 3.70403E-02 9.05447E-05 9.69603E-04 1.06015E-03 8.60967E-05 0.026177 8 7 20.0 90.0 90.0 5.44660E-02 8.94961E-05 2.32928E-03 2.41878E-03 8.50995E-05 0.042766 7 1 30.0 0.0 180.0 2.88483E-02 9.37616E-05 6.94441E-04 7.88203E-04 8.91555E-05 0.024072 7 4 30.0 45.0 135.0 3.19873E-02 9.28450E-05 7.80681E-04 8.73526E-04 8.82839E-05 0.024406 7 7 30.0 90.0 90.0 4.66176E-02 9.10380E-05 1.38039E-03 1.47143E-03 8.65657E-05 0.029611 6 1 40.0 0.0 180.0 2.73825E-02 9.49673E-05 7.72133E-04 8.67100E-04 9.03020E-05 0.028198 6 4 40.0 45.0 135.0 2.99413E-02 9.38514E-05 8.37433E-04 9.31284E-04 8.92409E-05 0.027969 6 7 40.0 90.0 90.0 4.20371E-02 9.19839E-05 1.21553E-03 1.30751E-03 8.74651E-05 0.028916 5 1 50.0 0.0 180.0 2.87096E-02 9.66924E-05 1.21972E-03 1.31641E-03 9.19423E-05 0.042485 5 4 50.0 45.0 135.0 3.05940E-02 9.49942E-05 1.27072E-03 1.36571E-03 9.03276E-05 0.041535 5 7 50.0 90.0 90.0 4.06670E-02 9.34142E-05 1.64280E-03 1.73622E-03 8.88252E-05 0.040396 4 1 60.0 0.0 180.0 3.40788E-02 9.58470E-05 2.84137E-03 2.93722E-03 9.11385E-05 0.083377 4 4 60.0 45.0 135.0 3.48501E-02 9.40050E-05 2.80580E-03 2.89981E-03 8.93869E-05 0.080511 4 7 60.0 90.0 90.0 4.30352E-02 9.38491E-05 3.27654E-03 3.37039E-03 8.92387E-05 0.076136 3 1 70.0 0.0 180.0 4.72846E-02 8.96381E-05 7.84863E-03 7.93827E-03 8.52346E-05 0.165987 3 4 70.0 45.0 135.0 4.59537E-02 8.89125E-05 7.55184E-03 7.64075E-03 8.45446E-05 0.164336 3 7 70.0 90.0 90.0 5.13751E-02 8.92179E-05 8.21226E-03 8.30148E-03 8.48350E-05 0.159849 2 1 80.0 0.0 180.0 8.03372E-02 7.74397E-05 1.95094E-02 1.95868E-02 7.36354E-05 0.242843 2 4 80.0 45.0 135.0 7.43907E-02 7.66929E-05 1.88696E-02 1.89463E-02 7.29253E-05 0.253655 2 7 80.0 90.0 90.0 7.39078E-02 7.73633E-05 1.97616E-02 1.98390E-02 7.35628E-05 0.267382 1 1 87.5 0.0 180.0 1.29891E-01 6.30486E-05 3.44075E-02 3.44705E-02 5.99513E-05 0.264896 1 4 87.5 45.0 135.0 1.16950E-01 5.95216E-05 3.41950E-02 3.42545E-02 5.65976E-05 0.292389 1 7 87.5 90.0 90.0 1.06399E-01 6.68432E-05 3.49964E-02 3.50632E-02 6.35595E-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 5.896E-03 6.865E-02 8.218E-02 7.073E-02 1.063E-01 5.607E-03 5.777E+00 8.853E-05 8.418E-05 1 0.00 0.00 1.643E-04 1.277E-01 5.450E-04 6.956E-04 1.284E-03 1.613E-04 4.449E+00 3 16.24 5.00 1.359E-06 3.358E-06 1.199E-06 1.199E-06 1.200E-06 2.405E-01 2.919E+00 5 32.47 10.00 4.378E-07 5.237E-07 3.974E-07 3.974E-07 3.974E-07 2.997E-01 2.958E+00 Waveband 40 of 40 completed in 11.4 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 1.076E+01 1.231E+01 1.220E+01 1.068E+01 1.311E+01 1.835E+01 1.931E+01 1.837E+01 1.877E+01 2.203E+01 2.346E+01 2.326E+01 2.353E+01 2.271E+01 2.298E+01 2.250E+01 2.156E+01 2.198E+01 2.217E+01 2.180E+01 2.159E+01 2.136E+01 2.129E+01 2.065E+01 1.978E+01 2.024E+01 1.972E+01 1.947E+01 1.920E+01 1.856E+01 1.771E+01 1.841E+01 1.807E+01 1.654E+01 1.592E+01 1.601E+01 1.464E+01 1.321E+01 1.447E+01 1.528E+01 0.0 7.459E+00 8.726E+00 8.761E+00 7.757E+00 9.637E+00 1.362E+01 1.441E+01 1.380E+01 1.416E+01 1.674E+01 1.802E+01 1.804E+01 1.843E+01 1.795E+01 1.829E+01 1.797E+01 1.711E+01 1.757E+01 1.778E+01 1.747E+01 1.722E+01 1.703E+01 1.680E+01 1.596E+01 1.501E+01 1.515E+01 1.476E+01 1.457E+01 1.436E+01 1.388E+01 1.322E+01 1.374E+01 1.355E+01 1.242E+01 1.188E+01 1.191E+01 1.086E+01 9.792E+00 1.071E+01 1.132E+01 5.0 2.994E+00 3.972E+00 4.156E+00 3.802E+00 4.902E+00 7.135E+00 7.549E+00 7.335E+00 7.557E+00 9.243E+00 1.046E+01 1.090E+01 1.162E+01 1.170E+01 1.221E+01 1.208E+01 1.112E+01 1.170E+01 1.196E+01 1.162E+01 1.117E+01 1.097E+01 1.009E+01 7.851E+00 5.239E+00 3.099E+00 2.834E+00 2.545E+00 2.250E+00 1.891E+00 1.361E+00 9.669E-01 8.679E-01 7.011E-01 4.581E-01 2.045E-01 3.566E-02 2.674E-03 3.287E-04 1.756E-04 10.0 1.030E+00 1.549E+00 1.689E+00 1.596E+00 2.135E+00 3.201E+00 3.387E+00 3.340E+00 3.453E+00 4.372E+00 5.209E+00 5.661E+00 6.304E+00 6.575E+00 7.034E+00 7.013E+00 6.222E+00 6.726E+00 6.944E+00 6.663E+00 6.233E+00 6.084E+00 5.203E+00 3.293E+00 1.554E+00 5.414E-01 4.647E-01 3.802E-01 3.022E-01 2.214E-01 1.223E-01 6.671E-02 7.624E-02 6.242E-02 2.394E-02 4.743E-03 5.376E-04 2.147E-04 1.003E-04 5.339E-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 3.194E+01 3.754E+01 3.823E+01 3.436E+01 4.328E+01 6.213E+01 6.699E+01 6.526E+01 6.824E+01 8.192E+01 8.921E+01 9.040E+01 9.340E+01 9.206E+01 9.509E+01 9.497E+01 9.279E+01 9.647E+01 9.914E+01 9.932E+01 1.002E+02 1.008E+02 1.023E+02 1.010E+02 9.838E+01 1.023E+02 1.014E+02 1.017E+02 1.019E+02 1.001E+02 9.695E+01 1.023E+02 1.019E+02 9.471E+01 9.246E+01 9.433E+01 8.748E+01 8.006E+01 8.887E+01 9.513E+01 0.0 2.213E+01 2.662E+01 2.746E+01 2.496E+01 3.182E+01 4.612E+01 4.998E+01 4.900E+01 5.148E+01 6.227E+01 6.852E+01 7.010E+01 7.317E+01 7.276E+01 7.569E+01 7.584E+01 7.367E+01 7.711E+01 7.952E+01 7.956E+01 7.990E+01 8.044E+01 8.073E+01 7.802E+01 7.462E+01 7.660E+01 7.588E+01 7.611E+01 7.622E+01 7.483E+01 7.238E+01 7.637E+01 7.646E+01 7.111E+01 6.902E+01 7.017E+01 6.492E+01 5.933E+01 6.582E+01 7.048E+01 5.0 8.883E+00 1.212E+01 1.303E+01 1.223E+01 1.618E+01 2.415E+01 2.618E+01 2.606E+01 2.748E+01 3.438E+01 3.978E+01 4.237E+01 4.612E+01 4.743E+01 5.051E+01 5.099E+01 4.785E+01 5.136E+01 5.348E+01 5.291E+01 5.179E+01 5.181E+01 4.851E+01 3.838E+01 2.605E+01 1.567E+01 1.457E+01 1.329E+01 1.194E+01 1.019E+01 7.454E+00 5.374E+00 4.896E+00 4.014E+00 2.661E+00 1.205E+00 2.131E-01 1.620E-02 2.019E-03 1.094E-03 10.0 3.056E+00 4.726E+00 5.293E+00 5.135E+00 7.050E+00 1.084E+01 1.175E+01 1.186E+01 1.255E+01 1.626E+01 1.981E+01 2.200E+01 2.503E+01 2.665E+01 2.910E+01 2.960E+01 2.678E+01 2.951E+01 3.105E+01 3.035E+01 2.891E+01 2.873E+01 2.500E+01 1.610E+01 7.728E+00 2.738E+00 2.389E+00 1.986E+00 1.604E+00 1.194E+00 6.696E-01 3.708E-01 4.301E-01 3.574E-01 1.390E-01 2.795E-02 3.213E-03 1.301E-03 6.161E-04 3.325E-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 2.7857E+03 1.8379E+03 0.00 2.1435E+03 1.7984E+03 5.00 9.2766E+02 6.6550E+02 10.00 4.5151E+02 3.0219E+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 0.19933 5.000 5.010 5.005 0.14870 10.000 10.010 10.005 0.14230 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) (0.303, 0.336, 4.499E+03) (0.297, 0.340, 8.810E+02) (0.241, 0.344, 3.092E+02) 0.00 (0.327, 0.340, 1.005E+05) (0.244, 0.350, 2.614E+03) (0.241, 0.344, 5.732E+02) 5.00 (0.264, 0.357, 4.739E+04) (0.224, 0.371, 1.715E+03) (0.221, 0.363, 3.182E+02) 10.00 (0.236, 0.375, 2.312E+04) (0.214, 0.391, 9.576E+02) (0.212, 0.382, 1.662E+02) The final depth-averaged photopic alpha and K are alpha = 0.8826 1/m and K = 0.1397 1/m The final estimate for the Secchi depth is z_SD = 7.83 m Run completed on 07/20/2011 at 13:08:18.3 Total (wall clock) run time = 216.0 sec