======================================================== | | | 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 rrs dependence on bbp exercise 3 wed class (07/20/2011 12:13) Run started on 07/20/2011 at 12:13:25.8 The radiance distribution is computed on the following (Theta,Phi,Depth,Wavelength) grid: I Theta Mu J Phi K zeta z L Lambda (deg) (deg) (m) (nm) 1 87.500 0.0436 1 0.00 1 0.000 1 355.00 2 80.000 0.1730 2 15.00 2 0.010 2 365.00 3 70.000 0.3407 3 30.00 3 5.000 3 375.00 4 60.000 0.4981 4 45.00 4 5.010 4 385.00 5 50.000 0.6403 5 60.00 5 10.000 5 395.00 6 40.000 0.7631 6 75.00 6 10.010 6 405.00 7 30.000 0.8627 7 90.00 7 415.00 8 20.000 0.9361 8 105.00 8 425.00 9 10.000 0.9811 9 120.00 9 435.00 10 0.000 0.9981 10 135.00 10 445.00 11 150.00 11 455.00 12 165.00 12 465.00 13 180.00 13 475.00 14 195.00 14 485.00 15 210.00 15 495.00 16 225.00 16 505.00 17 240.00 17 515.00 18 255.00 18 525.00 19 270.00 19 535.00 20 285.00 20 545.00 21 300.00 21 555.00 22 315.00 22 565.00 23 330.00 23 575.00 24 345.00 24 585.00 25 595.00 26 605.00 27 615.00 28 625.00 29 635.00 30 645.00 31 655.00 32 665.00 33 675.00 34 685.00 35 695.00 36 705.00 37 715.00 38 725.00 39 735.00 40 745.00 ***** BEGIN IOP MODEL SPECIFICATIONS ***** The IOP routine "abcase1" is being used: Absorption and scattering coefficients for case 1 water (Gordon and Morel bio-optical models) are used. component 1 is pure water component 2 is pigmented particles component 3 is CDOM that covaries with chlorophyll Pure water a and b values are obtained from the file: ..\data\H2OabDefaults.txt (Linear interpolation is used to define values at all wavelengths) The data file header records from ..\data\H2OabDefaults.txt are: Default "pure water" absorption (a) and scattering (b) coefficients. Based on: 200-300 nm: R.C. Smith and K. Baker, 1981. Appl. Optics 20(2), 177-184. 191 records read The phase function for component 1 comes from a file titled pure sea water (Rayleigh-like phase function); standard quad partition; 7 Sept 98 Absorption for component 2 calculated from the Prieur-Sathyenranath-Morel model 141 records read The chlorophyll concentration is constant with depth with a value of 2.30 (mg/m^3) Scattering for component 2 calculated using a Power Law model b = 0.3000 X^(0.6200) * (550./wavenm)^(1.0000) The phase function for component 2 will be chosen to have a bb/b ratio of 0.0100 Chlorophyll concentrations at the requested output depths depth Chl (m) (mg/m^3) 0.000 2.300 5.000 2.300 10.000 2.300 ***** END IOP MODEL SPECIFICATIONS ***** ***** BEGIN INELASTIC SCATTER AND INTERNAL SOURCE SPECIFICATIONS ***** Chlorophyll fluorescence is included in this run Chl fluorescent quantum efficiency set to 0.020 CDOM fluorescence is included in this run Raman scattering is included in this run Raman scattering cross-section set to 2.40E-04 m-1 at reference wavelength 488.0 nm ***** END INELASTIC SCATTER AND INTERNAL SOURCE SPECIFICATIONS ***** ***** BEGIN ATMOSPHERIC MODEL SPECIFICATIONS ***** Normalized sky radiances are computed using sky model "HCNRAD" (Harrison and Coombes Normalized RADiances) The cloud fraction is cloud = 0.0 (0 for a clear sky to 1 for a heavy overcast) The sun is placed in quad Q(r,s) = Q( 7, 1) centered at (theta, phi) = (30.000, 0.000) Diffuse and Direct Sky irradiances are computed using the "RADTRANX" (RADTRAN eXtended for 300-1000 nm) model The RADTRAN clear-sky irradiances are adjusted for cloudiness by the model of Kasten and Czeplak Parameter values used in the RADTRANX model: Solar zenith angle = 30.0 degrees Pressure = 29.9 in. mercury Day of year = not set (mean earth-sun distance used) Air mass type = 1.0 Relative Humidity = 80.0 % Precipitable water = 2.5 cm 24-hr wind speed = 5.0 m/sec Current wind speed = 5.0 m/sec Visibility = 15.0 km Total ozone = 300.0 Dobson units Irradiances are computed just above the sea surface Aerosol optical thickness at 550 nm = 0.261 ***** END ATMOSPHERIC MODEL SPECIFICATIONS ***** ***** BEGIN AIR-WATER SURFACE SPECIFICATIONS ***** The air-water surface is for a wind speed of 5.0 m/s Index of refraction is constant for all wavelengths with the value: 1.340 ***** END AIR-WATER SURFACE SPECIFICATIONS ***** ***** BEGIN BOTTOM BOUNDARY SPECIFICATIONS ***** The bottom boundary is an infinitely deep, homogeneous water body below depth 10.00 m The actual depth at which the infinitely deep bottom boundary condition will be applied will be determined dynamically from the IOPs to insure a good solution at the requested output depths ***** END BOTTOM BOUNDARY SPECIFICATIONS ***** Initialization of Hydrolight Completed in 0.3 sec. * * * * * Output for wavelength band 1 (350.0 to 360.0 nm; nominal wavelength = 355.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 355.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 350.0 nm to 360.0 nm: Ed(diffuse) = 2.986E-01 Ed(direct) = 3.214E-01 Ed(total) = 6.200E-01 Absorption Coefficients of Individual Components at 355.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0176 0.0582 0.0678 0.1435 3 4.676 5.000 0.0176 0.0582 0.0678 0.1435 5 9.352 10.000 0.0176 0.0582 0.0678 0.1435 Scattering Coefficients of Individual Components at 355.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0127 0.7790 0.0000 0.7917 3 4.676 5.000 0.0127 0.7790 0.0000 0.7917 5 9.352 10.000 0.0127 0.7790 0.0000 0.7917 Backscattering Coefficients of Individual Components at 355.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00634 0.00779 0.00000 0.01413 3 4.676 5.000 0.00634 0.00779 0.00000 0.01413 5 9.352 10.000 0.00634 0.00779 0.00000 0.01413 Summary of Inherent Optical Properties at 355.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1435 0.7917 0.9352 0.8465 0.01413 0.01785 3 4.676 5.000 0.1435 0.7917 0.9352 0.8465 0.01413 0.01785 5 9.352 10.000 0.1435 0.7917 0.9352 0.8465 0.01413 0.01785 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3472E-01 8 20.00 7.8006E-01 7 30.00 5.8624E-01 6 40.00 4.0479E-01 5 50.00 2.6314E-01 4 60.00 1.6553E-01 3 70.00 1.0367E-01 2 80.00 6.6591E-02 1 87.50 4.8745E-02 1 92.50 3.9360E-02 2 100.00 3.0401E-02 3 110.00 2.2863E-02 4 120.00 1.8180E-02 5 130.00 1.5290E-02 6 140.00 1.3500E-02 7 150.00 1.2399E-02 8 160.00 1.1745E-02 9 170.00 1.1399E-02 10 180.00 1.1276E-02 Asymptotic AOP values are MUu(inf) = 0.3895 MUd(inf) = 0.7343 MU(inf) = 0.6531 R(inf) = 0.0413 Lu(inf)/Ed(inf) = 0.009125 (1/sr) k(inf) = 0.2198 (1/m) absorp(check) = 0.1435 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 355.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.0747E-01 9.7286E-01 1.0803E+00 3.4938E-02 6.2002E-01 0.3251 0.6373 0.5416 5.6350E-02 1 0.00 0.00 5.0552E-02 7.1502E-01 7.6557E-01 2.1626E-02 6.0670E-01 0.4278 0.8485 0.7642 3.5645E-02 3 4.68 5.00 2.1925E-02 2.8991E-01 3.1184E-01 8.7835E-03 2.2372E-01 0.4006 0.7717 0.6893 3.9260E-02 5 9.35 10.00 7.9665E-03 1.0349E-01 1.1146E-01 3.1380E-03 7.7552E-02 0.3939 0.7494 0.6676 4.0464E-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 0.12572 0.15254 0.15077 0.14872 0.18647 0.18786 0.18071 5.000 5.010 5.005 0.19288 0.19863 0.19823 0.19838 0.20788 0.20827 0.20628 10.000 10.010 10.005 0.20924 0.21132 0.21117 0.21122 0.21485 0.21501 0.21422 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 2.91294E-03 3.68807E-03 6.60102E-03 4.69812E-03 0.045776 9 1 10.0 0.0 180.0 4.97141E-02 2.98874E-03 1.47713E-03 4.46587E-03 4.82037E-03 0.029712 9 4 10.0 45.0 135.0 5.46224E-02 2.96623E-03 1.67395E-03 4.64018E-03 4.78407E-03 0.030646 9 7 10.0 90.0 90.0 7.37994E-02 2.93656E-03 2.89959E-03 5.83616E-03 4.73621E-03 0.039290 8 1 20.0 0.0 180.0 3.90498E-02 3.03492E-03 9.37902E-04 3.97282E-03 4.89485E-03 0.024018 8 4 20.0 45.0 135.0 4.34729E-02 2.98823E-03 1.08299E-03 4.07122E-03 4.81954E-03 0.024912 8 7 20.0 90.0 90.0 6.39248E-02 2.94700E-03 1.99770E-03 4.94470E-03 4.75305E-03 0.031251 7 1 30.0 0.0 180.0 3.38583E-02 3.09500E-03 8.15058E-04 3.91006E-03 4.99175E-03 0.024073 7 4 30.0 45.0 135.0 3.75263E-02 3.06770E-03 9.13617E-04 3.98132E-03 4.94772E-03 0.024346 7 7 30.0 90.0 90.0 5.48121E-02 2.99835E-03 1.47534E-03 4.47369E-03 4.83587E-03 0.026916 6 1 40.0 0.0 180.0 3.21379E-02 3.14329E-03 9.06244E-04 4.04953E-03 5.06963E-03 0.028199 6 4 40.0 45.0 135.0 3.51411E-02 3.10492E-03 9.82865E-04 4.08779E-03 5.00775E-03 0.027969 6 7 40.0 90.0 90.0 4.93375E-02 3.02737E-03 1.41719E-03 4.44456E-03 4.88268E-03 0.028724 5 1 50.0 0.0 180.0 3.36955E-02 3.20299E-03 1.43154E-03 4.63453E-03 5.16592E-03 0.042485 5 4 50.0 45.0 135.0 3.59071E-02 3.14290E-03 1.49141E-03 4.63431E-03 5.06901E-03 0.041535 5 7 50.0 90.0 90.0 4.77295E-02 3.06467E-03 1.92809E-03 4.99276E-03 4.94283E-03 0.040396 4 1 60.0 0.0 180.0 3.99971E-02 3.17474E-03 3.33482E-03 6.50956E-03 5.12035E-03 0.083377 4 4 60.0 45.0 135.0 4.09023E-02 3.10745E-03 3.29308E-03 6.40053E-03 5.01183E-03 0.080511 4 7 60.0 90.0 90.0 5.05090E-02 3.06493E-03 3.84556E-03 6.91050E-03 4.94325E-03 0.076136 3 1 70.0 0.0 180.0 5.54963E-02 2.96187E-03 9.21166E-03 1.21735E-02 4.77704E-03 0.165987 3 4 70.0 45.0 135.0 5.39342E-02 2.92795E-03 8.86333E-03 1.17913E-02 4.72233E-03 0.164336 3 7 70.0 90.0 90.0 6.02972E-02 2.88872E-03 9.63845E-03 1.25272E-02 4.65906E-03 0.159849 2 1 80.0 0.0 180.0 9.42890E-02 2.54869E-03 2.28974E-02 2.54461E-02 4.11064E-03 0.242843 2 4 80.0 45.0 135.0 8.73097E-02 2.51163E-03 2.21466E-02 2.46582E-02 4.05086E-03 0.253655 2 7 80.0 90.0 90.0 8.67430E-02 2.48003E-03 2.31935E-02 2.56735E-02 3.99989E-03 0.267382 1 1 87.5 0.0 180.0 1.52448E-01 2.06087E-03 4.03828E-02 4.24437E-02 3.32385E-03 0.264896 1 4 87.5 45.0 135.0 1.37261E-01 1.93259E-03 4.01335E-02 4.20661E-02 3.11696E-03 0.292389 1 7 87.5 90.0 90.0 1.24877E-01 2.11334E-03 4.10740E-02 4.31873E-02 3.40848E-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 6.601E-03 8.057E-02 9.745E-02 8.403E-02 1.258E-01 1.065E-02 5.293E+00 2.913E-03 4.698E-03 1 0.00 0.00 5.405E-03 1.500E-01 1.076E-02 1.190E-02 1.545E-02 8.908E-03 4.001E+00 3 4.68 5.00 2.024E-03 1.304E-01 5.172E-03 6.344E-03 9.482E-03 9.045E-03 4.341E+00 5 9.35 10.00 7.051E-04 5.709E-02 2.026E-03 2.465E-03 3.455E-03 9.092E-03 4.451E+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 44.1 m at 365.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 360.0 nm to 370.0 nm: Ed(diffuse) = 3.273E-01 Ed(direct) = 3.929E-01 Ed(total) = 7.202E-01 Absorption Coefficients of Individual Components at 365.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0132 0.0598 0.0589 0.1319 3 4.504 5.000 0.0132 0.0598 0.0589 0.1319 5 9.008 10.000 0.0132 0.0598 0.0589 0.1319 Scattering Coefficients of Individual Components at 365.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0113 0.7576 0.0000 0.7689 3 4.504 5.000 0.0113 0.7576 0.0000 0.7689 5 9.008 10.000 0.0113 0.7576 0.0000 0.7689 Backscattering Coefficients of Individual Components at 365.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00563 0.00758 0.00000 0.01320 3 4.504 5.000 0.00563 0.00758 0.00000 0.01320 5 9.008 10.000 0.00563 0.00758 0.00000 0.01320 Summary of Inherent Optical Properties at 365.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1319 0.7689 0.9008 0.8536 0.01320 0.01717 3 4.504 5.000 0.1319 0.7689 0.9008 0.8536 0.01320 0.01717 5 9.008 10.000 0.1319 0.7689 0.9008 0.8536 0.01320 0.01717 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3679E-01 8 20.00 7.8637E-01 7 30.00 5.9619E-01 6 40.00 4.1604E-01 5 50.00 2.7345E-01 4 60.00 1.7376E-01 3 70.00 1.0969E-01 2 80.00 7.0826E-02 1 87.50 5.1938E-02 1 92.50 4.1931E-02 2 100.00 3.2352E-02 3 110.00 2.4262E-02 4 120.00 1.9213E-02 5 130.00 1.6085E-02 6 140.00 1.4140E-02 7 150.00 1.2941E-02 8 160.00 1.2226E-02 9 170.00 1.1847E-02 10 180.00 1.1713E-02 Asymptotic AOP values are MUu(inf) = 0.3875 MUd(inf) = 0.7301 MU(inf) = 0.6470 R(inf) = 0.0426 Lu(inf)/Ed(inf) = 0.009284 (1/sr) k(inf) = 0.2038 (1/m) absorp(check) = 0.1319 = k(inf)*MU(inf) The CDOM absorption at each wavelength is constant with depth with a value of 0.00 (1/m) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 365.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.2061E-01 1.1135E+00 1.2341E+00 4.0061E-02 7.2024E-01 0.3321 0.6468 0.5512 5.5622E-02 1 0.00 0.00 6.0080E-02 8.3050E-01 8.9058E-01 2.5684E-02 7.0586E-01 0.4275 0.8499 0.7637 3.6387E-02 3 4.50 5.00 2.8357E-02 3.6549E-01 3.9385E-01 1.1343E-02 2.8217E-01 0.4000 0.7720 0.6876 4.0200E-02 5 9.01 10.00 1.1242E-02 1.4205E-01 1.5329E-01 4.4147E-03 1.0622E-01 0.3927 0.7478 0.6642 4.1560E-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 0.11242 0.13873 0.13695 0.13416 0.17130 0.17271 0.16539 5.000 5.010 5.005 0.17524 0.18154 0.18109 0.18112 0.19137 0.19180 0.18957 10.000 10.010 10.005 0.19207 0.19445 0.19428 0.19428 0.19840 0.19858 0.19765 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 3.43903E-03 4.24954E-03 7.68857E-03 4.77481E-03 0.048112 9 1 10.0 0.0 180.0 5.45003E-02 3.52589E-03 1.64705E-03 5.17293E-03 4.89540E-03 0.030221 9 4 10.0 45.0 135.0 5.98811E-02 3.50028E-03 1.87076E-03 5.37104E-03 4.85985E-03 0.031241 9 7 10.0 90.0 90.0 8.09044E-02 3.46774E-03 3.30645E-03 6.77419E-03 4.81466E-03 0.040869 8 1 20.0 0.0 180.0 4.28092E-02 3.57983E-03 1.02960E-03 4.60943E-03 4.97030E-03 0.024051 8 4 20.0 45.0 135.0 4.76582E-02 3.52632E-03 1.19088E-03 4.71721E-03 4.89601E-03 0.024988 8 7 20.0 90.0 90.0 7.00791E-02 3.48182E-03 2.23859E-03 5.72041E-03 4.83421E-03 0.031944 7 1 30.0 0.0 180.0 3.71179E-02 3.65077E-03 8.93525E-04 4.54430E-03 5.06879E-03 0.024073 7 4 30.0 45.0 135.0 4.11402E-02 3.62076E-03 1.00175E-03 4.62251E-03 5.02713E-03 0.024350 7 7 30.0 90.0 90.0 6.00826E-02 3.54481E-03 1.62693E-03 5.17174E-03 4.92168E-03 0.027078 6 1 40.0 0.0 180.0 3.52319E-02 3.70875E-03 9.93490E-04 4.70224E-03 5.14930E-03 0.028199 6 4 40.0 45.0 135.0 3.85242E-02 3.66646E-03 1.07749E-03 4.74395E-03 5.09058E-03 0.027969 6 7 40.0 90.0 90.0 5.40874E-02 3.58311E-03 1.55425E-03 5.13736E-03 4.97486E-03 0.028736 5 1 50.0 0.0 180.0 3.69395E-02 3.78054E-03 1.56936E-03 5.34990E-03 5.24897E-03 0.042485 5 4 50.0 45.0 135.0 3.93640E-02 3.71326E-03 1.63499E-03 5.34825E-03 5.15556E-03 0.041535 5 7 50.0 90.0 90.0 5.23245E-02 3.63108E-03 2.11371E-03 5.74480E-03 5.04146E-03 0.040396 4 1 60.0 0.0 180.0 4.38478E-02 3.74859E-03 3.65587E-03 7.40447E-03 5.20461E-03 0.083377 4 4 60.0 45.0 135.0 4.48401E-02 3.67335E-03 3.61011E-03 7.28346E-03 5.10013E-03 0.080511 4 7 60.0 90.0 90.0 5.53716E-02 3.63517E-03 4.21579E-03 7.85096E-03 5.04712E-03 0.076136 3 1 70.0 0.0 180.0 6.08391E-02 3.49858E-03 1.00985E-02 1.35971E-02 4.85749E-03 0.165987 3 4 70.0 45.0 135.0 5.91267E-02 3.46302E-03 9.71663E-03 1.31797E-02 4.80812E-03 0.164336 3 7 70.0 90.0 90.0 6.61022E-02 3.42974E-03 1.05664E-02 1.39961E-02 4.76191E-03 0.159849 2 1 80.0 0.0 180.0 1.03367E-01 3.01143E-03 2.51019E-02 2.81133E-02 4.18113E-03 0.242843 2 4 80.0 45.0 135.0 9.57154E-02 2.97193E-03 2.42787E-02 2.72507E-02 4.12628E-03 0.253655 2 7 80.0 90.0 90.0 9.50940E-02 2.94700E-03 2.54264E-02 2.83734E-02 4.09167E-03 0.267382 1 1 87.5 0.0 180.0 1.67125E-01 2.43551E-03 4.42706E-02 4.67061E-02 3.38150E-03 0.264896 1 4 87.5 45.0 135.0 1.50475E-01 2.28748E-03 4.39973E-02 4.62848E-02 3.17597E-03 0.292389 1 7 87.5 90.0 90.0 1.36899E-01 2.51293E-03 4.50284E-02 4.75413E-02 3.48899E-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 7.689E-03 8.833E-02 1.069E-01 9.222E-02 1.380E-01 1.067E-02 5.211E+00 3.439E-03 4.775E-03 1 0.00 0.00 6.381E-03 1.644E-01 1.267E-02 1.411E-02 1.847E-02 9.039E-03 4.025E+00 3 4.50 5.00 2.593E-03 1.604E-01 6.599E-03 8.162E-03 1.236E-02 9.189E-03 4.375E+00 5 9.01 10.00 9.819E-04 7.678E-02 2.825E-03 3.473E-03 4.947E-03 9.244E-03 4.496E+00 Waveband 2 of 40 completed in 4.2 sec. * * * * * Output for wavelength band 3 (370.0 to 380.0 nm; nominal wavelength = 375.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 375.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 370.0 nm to 380.0 nm: Ed(diffuse) = 3.130E-01 Ed(direct) = 4.113E-01 Ed(total) = 7.243E-01 Absorption Coefficients of Individual Components at 375.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0115 0.0619 0.0512 0.1246 3 4.360 5.000 0.0115 0.0619 0.0512 0.1246 5 8.720 10.000 0.0115 0.0619 0.0512 0.1246 Scattering Coefficients of Individual Components at 375.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0100 0.7374 0.0000 0.7475 3 4.360 5.000 0.0100 0.7374 0.0000 0.7475 5 8.720 10.000 0.0100 0.7374 0.0000 0.7475 Backscattering Coefficients of Individual Components at 375.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00501 0.00737 0.00000 0.01238 3 4.360 5.000 0.00501 0.00737 0.00000 0.01238 5 8.720 10.000 0.00501 0.00737 0.00000 0.01238 Summary of Inherent Optical Properties at 375.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1246 0.7475 0.8720 0.8571 0.01238 0.01656 3 4.360 5.000 0.1246 0.7475 0.8720 0.8571 0.01238 0.01656 5 8.720 10.000 0.1246 0.7475 0.8720 0.8571 0.01238 0.01656 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3783E-01 8 20.00 7.8954E-01 7 30.00 6.0121E-01 6 40.00 4.2171E-01 5 50.00 2.7863E-01 4 60.00 1.7785E-01 3 70.00 1.1264E-01 2 80.00 7.2835E-02 1 87.50 5.3402E-02 1 92.50 4.3068E-02 2 100.00 3.3166E-02 3 110.00 2.4791E-02 4 120.00 1.9554E-02 5 130.00 1.6305E-02 6 140.00 1.4283E-02 7 150.00 1.3033E-02 8 160.00 1.2287E-02 9 170.00 1.1891E-02 10 180.00 1.1752E-02 Asymptotic AOP values are MUu(inf) = 0.3857 MUd(inf) = 0.7281 MU(inf) = 0.6448 R(inf) = 0.0428 Lu(inf)/Ed(inf) = 0.009221 (1/sr) k(inf) = 0.1932 (1/m) absorp(check) = 0.1246 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 375.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.1734E-01 1.1060E+00 1.2233E+00 3.9616E-02 7.2429E-01 0.3376 0.6549 0.5597 5.4696E-02 1 0.00 0.00 6.0366E-02 8.3414E-01 8.9451E-01 2.5768E-02 7.1043E-01 0.4269 0.8517 0.7654 3.6270E-02 3 4.36 5.00 3.0131E-02 3.8724E-01 4.1738E-01 1.2028E-02 2.9953E-01 0.3992 0.7735 0.6888 4.0156E-02 5 8.72 10.00 1.2665E-02 1.5928E-01 1.7195E-01 4.9578E-03 1.1914E-01 0.3915 0.7480 0.6640 4.1613E-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 0.10327 0.12979 0.12800 0.12460 0.16139 0.16278 0.15534 5.000 5.010 5.005 0.16345 0.17022 0.16973 0.16959 0.18040 0.18085 0.17844 10.000 10.010 10.005 0.18053 0.18317 0.18298 0.18292 0.18741 0.18760 0.18657 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 3.43083E-03 4.24468E-03 7.67550E-03 4.73680E-03 0.050258 9 1 10.0 0.0 180.0 5.21139E-02 3.51537E-03 1.59925E-03 5.11462E-03 4.85352E-03 0.030688 9 4 10.0 45.0 135.0 5.72591E-02 3.49059E-03 1.82014E-03 5.31073E-03 4.81932E-03 0.031788 9 7 10.0 90.0 90.0 7.73618E-02 3.46010E-03 3.27379E-03 6.73389E-03 4.77721E-03 0.042318 8 1 20.0 0.0 180.0 4.09347E-02 3.56871E-03 9.85746E-04 4.55446E-03 4.92717E-03 0.024081 8 4 20.0 45.0 135.0 4.55714E-02 3.51659E-03 1.14192E-03 4.65852E-03 4.85522E-03 0.025058 8 7 20.0 90.0 90.0 6.70105E-02 3.47552E-03 2.18321E-03 5.65873E-03 4.79851E-03 0.032580 7 1 30.0 0.0 180.0 3.54926E-02 3.63946E-03 8.54399E-04 4.49386E-03 5.02486E-03 0.024073 7 4 30.0 45.0 135.0 3.93397E-02 3.61126E-03 9.58037E-04 4.56930E-03 4.98592E-03 0.024353 7 7 30.0 90.0 90.0 5.74460E-02 3.54025E-03 1.56408E-03 5.10433E-03 4.88788E-03 0.027227 6 1 40.0 0.0 180.0 3.36892E-02 3.69803E-03 9.49987E-04 4.64801E-03 5.10572E-03 0.028199 6 4 40.0 45.0 135.0 3.68373E-02 3.65820E-03 1.03031E-03 4.68851E-03 5.05072E-03 0.027969 6 7 40.0 90.0 90.0 5.17190E-02 3.58172E-03 1.48674E-03 5.06846E-03 4.94514E-03 0.028746 5 1 50.0 0.0 180.0 3.53220E-02 3.77066E-03 1.50064E-03 5.27130E-03 5.20600E-03 0.042485 5 4 50.0 45.0 135.0 3.76404E-02 3.70645E-03 1.56340E-03 5.26985E-03 5.11734E-03 0.041535 5 7 50.0 90.0 90.0 5.00334E-02 3.63288E-03 2.02116E-03 5.65404E-03 5.01577E-03 0.040396 4 1 60.0 0.0 180.0 4.19278E-02 3.73992E-03 3.49579E-03 7.23571E-03 5.16355E-03 0.083377 4 4 60.0 45.0 135.0 4.28767E-02 3.66821E-03 3.45203E-03 7.12025E-03 5.06455E-03 0.080511 4 7 60.0 90.0 90.0 5.29471E-02 3.64020E-03 4.03119E-03 7.67139E-03 5.02587E-03 0.076136 3 1 70.0 0.0 180.0 5.81751E-02 3.49163E-03 9.65632E-03 1.31480E-02 4.82076E-03 0.165987 3 4 70.0 45.0 135.0 5.65377E-02 3.45982E-03 9.29117E-03 1.27510E-02 4.77683E-03 0.164336 3 7 70.0 90.0 90.0 6.32078E-02 3.43774E-03 1.01037E-02 1.35414E-02 4.74635E-03 0.159849 2 1 80.0 0.0 180.0 9.88404E-02 3.00630E-03 2.40027E-02 2.70090E-02 4.15067E-03 0.242843 2 4 80.0 45.0 135.0 9.15242E-02 2.97042E-03 2.32156E-02 2.61860E-02 4.10113E-03 0.253655 2 7 80.0 90.0 90.0 9.09301E-02 2.95626E-03 2.43131E-02 2.72693E-02 4.08158E-03 0.267382 1 1 87.5 0.0 180.0 1.59807E-01 2.43190E-03 4.23321E-02 4.47640E-02 3.35762E-03 0.264896 1 4 87.5 45.0 135.0 1.43886E-01 2.28708E-03 4.20708E-02 4.43579E-02 3.15768E-03 0.292389 1 7 87.5 90.0 90.0 1.30905E-01 2.52258E-03 4.30567E-02 4.55793E-02 3.48283E-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 7.676E-03 8.446E-02 1.023E-01 8.824E-02 1.321E-01 1.060E-02 5.161E+00 3.431E-03 4.737E-03 1 0.00 0.00 6.365E-03 1.572E-01 1.263E-02 1.416E-02 1.870E-02 8.960E-03 4.048E+00 3 4.36 5.00 2.730E-03 1.667E-01 6.940E-03 8.655E-03 1.327E-02 9.116E-03 4.405E+00 5 8.72 10.00 1.093E-03 8.505E-02 3.154E-03 3.914E-03 5.660E-03 9.176E-03 4.535E+00 Waveband 3 of 40 completed in 4.0 sec. * * * * * Output for wavelength band 4 (380.0 to 390.0 nm; nominal wavelength = 385.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 385.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 380.0 nm to 390.0 nm: Ed(diffuse) = 2.649E-01 Ed(direct) = 3.776E-01 Ed(total) = 6.425E-01 Absorption Coefficients of Individual Components at 385.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0094 0.0650 0.0445 0.1189 3 4.231 5.000 0.0094 0.0650 0.0445 0.1189 5 8.461 10.000 0.0094 0.0650 0.0445 0.1189 Scattering Coefficients of Individual Components at 385.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0089 0.7183 0.0000 0.7272 3 4.231 5.000 0.0089 0.7183 0.0000 0.7272 5 8.461 10.000 0.0089 0.7183 0.0000 0.7272 Backscattering Coefficients of Individual Components at 385.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00447 0.00718 0.00000 0.01165 3 4.231 5.000 0.00447 0.00718 0.00000 0.01165 5 8.461 10.000 0.00447 0.00718 0.00000 0.01165 Summary of Inherent Optical Properties at 385.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1189 0.7272 0.8461 0.8595 0.01165 0.01602 3 4.231 5.000 0.1189 0.7272 0.8461 0.8595 0.01165 0.01602 5 8.461 10.000 0.1189 0.7272 0.8461 0.8595 0.01165 0.01602 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3852E-01 8 20.00 7.9164E-01 7 30.00 6.0453E-01 6 40.00 4.2546E-01 5 50.00 2.8203E-01 4 60.00 1.8051E-01 3 70.00 1.1451E-01 2 80.00 7.4074E-02 1 87.50 5.4271E-02 1 92.50 4.3715E-02 2 100.00 3.3595E-02 3 110.00 2.5031E-02 4 120.00 1.9670E-02 5 130.00 1.6341E-02 6 140.00 1.4268E-02 7 150.00 1.2985E-02 8 160.00 1.2219E-02 9 170.00 1.1813E-02 10 180.00 1.1669E-02 Asymptotic AOP values are MUu(inf) = 0.3839 MUd(inf) = 0.7269 MU(inf) = 0.6439 R(inf) = 0.0427 Lu(inf)/Ed(inf) = 0.009096 (1/sr) k(inf) = 0.1847 (1/m) absorp(check) = 0.1189 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 385.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.0085E-01 9.7025E-01 1.0711E+00 3.4543E-02 6.4248E-01 0.3425 0.6622 0.5676 5.3765E-02 1 0.00 0.00 5.3151E-02 7.3884E-01 7.9199E-01 2.2651E-02 6.3058E-01 0.4262 0.8535 0.7676 3.5921E-02 3 4.23 5.00 2.7738E-02 3.5782E-01 3.8555E-01 1.1051E-02 2.7742E-01 0.3984 0.7753 0.6909 3.9834E-02 5 8.46 10.00 1.2222E-02 1.5404E-01 1.6626E-01 4.7703E-03 1.1533E-01 0.3903 0.7487 0.6650 4.1362E-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 0.09617 0.12276 0.12097 0.11705 0.15352 0.15488 0.14736 5.000 5.010 5.005 0.15396 0.16115 0.16063 0.16032 0.17160 0.17207 0.16951 10.000 10.010 10.005 0.17119 0.17408 0.17387 0.17374 0.17856 0.17877 0.17765 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 2.99965E-03 3.74265E-03 6.74230E-03 4.66885E-03 0.052353 9 1 10.0 0.0 180.0 4.41115E-02 3.07186E-03 1.37379E-03 4.44564E-03 4.78123E-03 0.031143 9 4 10.0 45.0 135.0 4.84666E-02 3.05081E-03 1.56652E-03 4.61733E-03 4.74847E-03 0.032322 9 7 10.0 90.0 90.0 6.54825E-02 3.02574E-03 2.86374E-03 5.88948E-03 4.70945E-03 0.043733 8 1 20.0 0.0 180.0 3.46490E-02 3.11809E-03 8.35396E-04 3.95348E-03 4.85319E-03 0.024110 8 4 20.0 45.0 135.0 3.85737E-02 3.07353E-03 9.69209E-04 4.04274E-03 4.78384E-03 0.025126 8 7 20.0 90.0 90.0 5.67207E-02 3.04030E-03 1.88321E-03 4.92351E-03 4.73212E-03 0.033201 7 1 30.0 0.0 180.0 3.00425E-02 3.17989E-03 7.23201E-04 3.90309E-03 4.94939E-03 0.024073 7 4 30.0 45.0 135.0 3.32996E-02 3.15663E-03 8.11052E-04 3.96768E-03 4.91318E-03 0.024356 7 7 30.0 90.0 90.0 4.86201E-02 3.09838E-03 1.33084E-03 4.42922E-03 4.82252E-03 0.027372 6 1 40.0 0.0 180.0 2.85161E-02 3.23162E-03 8.04110E-04 4.03573E-03 5.02990E-03 0.028199 6 4 40.0 45.0 135.0 3.11808E-02 3.19869E-03 8.72100E-04 4.07079E-03 4.97865E-03 0.027969 6 7 40.0 90.0 90.0 4.37773E-02 3.13723E-03 1.25889E-03 4.39612E-03 4.88298E-03 0.028757 5 1 50.0 0.0 180.0 2.98981E-02 3.29590E-03 1.27021E-03 4.56611E-03 5.12995E-03 0.042485 5 4 50.0 45.0 135.0 3.18605E-02 3.24210E-03 1.32333E-03 4.56542E-03 5.04621E-03 0.041535 5 7 50.0 90.0 90.0 4.23505E-02 3.18461E-03 1.71080E-03 4.89541E-03 4.95673E-03 0.040396 4 1 60.0 0.0 180.0 3.54895E-02 3.26990E-03 2.95900E-03 6.22889E-03 5.08948E-03 0.083377 4 4 60.0 45.0 135.0 3.62927E-02 3.20992E-03 2.92196E-03 6.13188E-03 4.99613E-03 0.080511 4 7 60.0 90.0 90.0 4.48168E-02 3.19363E-03 3.41218E-03 6.60582E-03 4.97078E-03 0.076136 3 1 70.0 0.0 180.0 4.92420E-02 3.05375E-03 8.17354E-03 1.12273E-02 4.75305E-03 0.165987 3 4 70.0 45.0 135.0 4.78560E-02 3.02890E-03 7.86446E-03 1.08934E-02 4.71437E-03 0.164336 3 7 70.0 90.0 90.0 5.35019E-02 3.01870E-03 8.55223E-03 1.15709E-02 4.69849E-03 0.159849 2 1 80.0 0.0 180.0 8.36629E-02 2.62998E-03 2.03170E-02 2.29470E-02 4.09346E-03 0.242843 2 4 80.0 45.0 135.0 7.74702E-02 2.60147E-03 1.96507E-02 2.22522E-02 4.04910E-03 0.253655 2 7 80.0 90.0 90.0 7.69673E-02 2.59789E-03 2.05797E-02 2.31776E-02 4.04352E-03 0.267382 1 1 87.5 0.0 180.0 1.35268E-01 2.12796E-03 3.58318E-02 3.79598E-02 3.31209E-03 0.264896 1 4 87.5 45.0 135.0 1.21792E-01 2.00368E-03 3.56106E-02 3.76143E-02 3.11866E-03 0.292389 1 7 87.5 90.0 90.0 1.10804E-01 2.21831E-03 3.64451E-02 3.86634E-02 3.45272E-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 6.742E-03 7.149E-02 8.661E-02 7.473E-02 1.118E-01 1.049E-02 5.123E+00 3.000E-03 4.669E-03 1 0.00 0.00 5.565E-03 1.331E-01 1.105E-02 1.247E-02 1.661E-02 8.825E-03 4.070E+00 3 4.23 5.00 2.493E-03 1.515E-01 6.330E-03 7.956E-03 1.234E-02 8.986E-03 4.433E+00 5 8.46 10.00 1.044E-03 8.145E-02 3.018E-03 3.780E-03 5.544E-03 9.050E-03 4.571E+00 Waveband 4 of 40 completed in 3.6 sec. * * * * * Output for wavelength band 5 (390.0 to 400.0 nm; nominal wavelength = 395.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 395.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 390.0 nm to 400.0 nm: Ed(diffuse) = 3.149E-01 Ed(direct) = 4.830E-01 Ed(total) = 7.979E-01 Absorption Coefficients of Individual Components at 395.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0081 0.0691 0.0387 0.1159 3 4.120 5.000 0.0081 0.0691 0.0387 0.1159 5 8.240 10.000 0.0081 0.0691 0.0387 0.1159 Scattering Coefficients of Individual Components at 395.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0080 0.7001 0.0000 0.7081 3 4.120 5.000 0.0080 0.7001 0.0000 0.7081 5 8.240 10.000 0.0080 0.7001 0.0000 0.7081 Backscattering Coefficients of Individual Components at 395.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00400 0.00700 0.00000 0.01100 3 4.120 5.000 0.00400 0.00700 0.00000 0.01100 5 8.240 10.000 0.00400 0.00700 0.00000 0.01100 Summary of Inherent Optical Properties at 395.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1159 0.7081 0.8240 0.8593 0.01100 0.01553 3 4.120 5.000 0.1159 0.7081 0.8240 0.8593 0.01100 0.01553 5 8.240 10.000 0.1159 0.7081 0.8240 0.8593 0.01100 0.01553 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3848E-01 8 20.00 7.9148E-01 7 30.00 6.0421E-01 6 40.00 4.2499E-01 5 50.00 2.8145E-01 4 60.00 1.7988E-01 3 70.00 1.1388E-01 2 80.00 7.3476E-02 1 87.50 5.3705E-02 1 92.50 4.3172E-02 2 100.00 3.3085E-02 3 110.00 2.4558E-02 4 120.00 1.9226E-02 5 130.00 1.5919E-02 6 140.00 1.3861E-02 7 150.00 1.2589E-02 8 160.00 1.1829E-02 9 170.00 1.1426E-02 10 180.00 1.1284E-02 Asymptotic AOP values are MUu(inf) = 0.3822 MUd(inf) = 0.7275 MU(inf) = 0.6459 R(inf) = 0.0417 Lu(inf)/Ed(inf) = 0.008806 (1/sr) k(inf) = 0.1795 (1/m) absorp(check) = 0.1159 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 395.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.2135E-01 1.1930E+00 1.3143E+00 4.2084E-02 7.9790E-01 0.3468 0.6688 0.5751 5.2743E-02 1 0.00 0.00 6.4740E-02 9.1569E-01 9.8043E-01 2.7542E-02 7.8335E-01 0.4254 0.8555 0.7709 3.5159E-02 3 4.12 5.00 3.4664E-02 4.5470E-01 4.8936E-01 1.3783E-02 3.5364E-01 0.3976 0.7778 0.6945 3.8974E-02 5 8.24 10.00 1.5712E-02 2.0129E-01 2.1700E-01 6.1159E-03 1.5107E-01 0.3892 0.7505 0.6680 4.0484E-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 0.09206 0.11863 0.11688 0.11293 0.14881 0.15012 0.14294 5.000 5.010 5.005 0.14834 0.15564 0.15513 0.15487 0.16621 0.16667 0.16431 10.000 10.010 10.005 0.16555 0.16849 0.16827 0.16825 0.17312 0.17333 0.17237 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 3.63257E-03 4.62298E-03 8.25555E-03 4.55264E-03 0.054402 9 1 10.0 0.0 180.0 5.24353E-02 3.71812E-03 1.65639E-03 5.37451E-03 4.65986E-03 0.031589 9 4 10.0 45.0 135.0 5.76123E-02 3.69326E-03 1.89219E-03 5.58545E-03 4.62870E-03 0.032844 9 7 10.0 90.0 90.0 7.78390E-02 3.66451E-03 3.51185E-03 7.17636E-03 4.59267E-03 0.045117 8 1 20.0 0.0 180.0 4.11872E-02 3.77340E-03 9.94217E-04 4.76762E-03 4.72914E-03 0.024139 8 4 20.0 45.0 135.0 4.58525E-02 3.72049E-03 1.15516E-03 4.87565E-03 4.66283E-03 0.025193 8 7 20.0 90.0 90.0 6.74239E-02 3.68295E-03 2.27954E-03 5.96248E-03 4.61578E-03 0.033809 7 1 30.0 0.0 180.0 3.57115E-02 3.84783E-03 8.59667E-04 4.70749E-03 4.82242E-03 0.024073 7 4 30.0 45.0 135.0 3.95842E-02 3.82108E-03 9.64244E-04 4.78532E-03 4.78889E-03 0.024359 7 7 30.0 90.0 90.0 5.77892E-02 3.75440E-03 1.59002E-03 5.34443E-03 4.70533E-03 0.027514 6 1 40.0 0.0 180.0 3.38970E-02 3.91043E-03 9.55845E-04 4.86628E-03 4.90088E-03 0.028198 6 4 40.0 45.0 135.0 3.70646E-02 3.87247E-03 1.03666E-03 4.90913E-03 4.85330E-03 0.027969 6 7 40.0 90.0 90.0 5.20381E-02 3.80345E-03 1.49697E-03 5.30042E-03 4.76680E-03 0.028767 5 1 50.0 0.0 180.0 3.55399E-02 3.98857E-03 1.50990E-03 5.49847E-03 4.99881E-03 0.042485 5 4 50.0 45.0 135.0 3.78725E-02 3.92578E-03 1.57304E-03 5.49882E-03 4.92012E-03 0.041535 5 7 50.0 90.0 90.0 5.03420E-02 3.86299E-03 2.03363E-03 5.89661E-03 4.84142E-03 0.040396 4 1 60.0 0.0 180.0 4.21864E-02 3.95757E-03 3.51736E-03 7.47493E-03 4.95996E-03 0.083377 4 4 60.0 45.0 135.0 4.31411E-02 3.88769E-03 3.47333E-03 7.36102E-03 4.87237E-03 0.080511 4 7 60.0 90.0 90.0 5.32736E-02 3.87611E-03 4.05606E-03 7.93216E-03 4.85786E-03 0.076136 3 1 70.0 0.0 180.0 5.85340E-02 3.69661E-03 9.71588E-03 1.34125E-02 4.63290E-03 0.165987 3 4 70.0 45.0 135.0 5.68864E-02 3.66949E-03 9.34848E-03 1.30180E-02 4.59891E-03 0.164336 3 7 70.0 90.0 90.0 6.35977E-02 3.66616E-03 1.01660E-02 1.38322E-02 4.59474E-03 0.159849 2 1 80.0 0.0 180.0 9.94501E-02 3.18417E-03 2.41508E-02 2.73350E-02 3.99067E-03 0.242843 2 4 80.0 45.0 135.0 9.20888E-02 3.15253E-03 2.33588E-02 2.65114E-02 3.95102E-03 0.253655 2 7 80.0 90.0 90.0 9.14910E-02 3.15694E-03 2.44630E-02 2.76200E-02 3.95654E-03 0.267382 1 1 87.5 0.0 180.0 1.60792E-01 2.57682E-03 4.25933E-02 4.51701E-02 3.22948E-03 0.264896 1 4 87.5 45.0 135.0 1.44774E-01 2.42877E-03 4.23303E-02 4.47591E-02 3.04393E-03 0.292389 1 7 87.5 90.0 90.0 1.31712E-01 2.69719E-03 4.33223E-02 4.60195E-02 3.38034E-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 8.256E-03 8.498E-02 1.030E-01 8.887E-02 1.330E-01 1.035E-02 5.098E+00 3.633E-03 4.553E-03 1 0.00 0.00 6.739E-03 1.582E-01 1.339E-02 1.519E-02 2.039E-02 8.603E-03 4.087E+00 3 4.12 5.00 3.095E-03 1.898E-01 7.860E-03 9.946E-03 1.559E-02 8.751E-03 4.454E+00 5 8.24 10.00 1.330E-03 1.059E-01 3.857E-03 4.868E-03 7.231E-03 8.806E-03 4.597E+00 Waveband 5 of 40 completed in 3.6 sec. * * * * * Output for wavelength band 6 (400.0 to 410.0 nm; nominal wavelength = 405.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 405.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 400.0 nm to 410.0 nm: Ed(diffuse) = 4.287E-01 Ed(direct) = 6.992E-01 Ed(total) = 1.128E+00 Absorption Coefficients of Individual Components at 405.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0053 0.0804 0.0337 0.1194 3 4.047 5.000 0.0053 0.0804 0.0337 0.1194 5 8.094 10.000 0.0053 0.0804 0.0337 0.1194 Scattering Coefficients of Individual Components at 405.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0072 0.6828 0.0000 0.6900 3 4.047 5.000 0.0072 0.6828 0.0000 0.6900 5 8.094 10.000 0.0072 0.6828 0.0000 0.6900 Backscattering Coefficients of Individual Components at 405.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00359 0.00683 0.00000 0.01042 3 4.047 5.000 0.00359 0.00683 0.00000 0.01042 5 8.094 10.000 0.00359 0.00683 0.00000 0.01042 Summary of Inherent Optical Properties at 405.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1194 0.6900 0.8094 0.8525 0.01042 0.01510 3 4.047 5.000 0.1194 0.6900 0.8094 0.8525 0.01042 0.01510 5 8.094 10.000 0.1194 0.6900 0.8094 0.8525 0.01042 0.01510 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3649E-01 8 20.00 7.8534E-01 7 30.00 5.9430E-01 6 40.00 4.1343E-01 5 50.00 2.7045E-01 4 60.00 1.7068E-01 3 70.00 1.0675E-01 2 80.00 6.8131E-02 1 87.50 4.9442E-02 1 92.50 3.9570E-02 2 100.00 3.0163E-02 3 110.00 2.2261E-02 4 120.00 1.7355E-02 5 130.00 1.4330E-02 6 140.00 1.2457E-02 7 150.00 1.1304E-02 8 160.00 1.0618E-02 9 170.00 1.0254E-02 10 180.00 1.0126E-02 Asymptotic AOP values are MUu(inf) = 0.3802 MUd(inf) = 0.7326 MU(inf) = 0.6559 R(inf) = 0.0384 Lu(inf)/Ed(inf) = 0.008074 (1/sr) k(inf) = 0.1820 (1/m) absorp(check) = 0.1194 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 405.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.6524E-01 1.6724E+00 1.8376E+00 5.7623E-02 1.1279E+00 0.3487 0.6745 0.5824 5.1087E-02 1 0.00 0.00 8.5263E-02 1.2884E+00 1.3737E+00 3.6148E-02 1.1065E+00 0.4240 0.8588 0.7792 3.2670E-02 3 4.05 5.00 4.5026E-02 6.3020E-01 6.7523E-01 1.7837E-02 4.9311E-01 0.3961 0.7825 0.7039 3.6172E-02 5 8.09 10.00 2.0146E-02 2.7540E-01 2.9555E-01 7.8113E-03 2.0807E-01 0.3877 0.7555 0.6776 3.7543E-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 0.09345 0.12126 0.11953 0.11561 0.15150 0.15271 0.14590 5.000 5.010 5.005 0.15104 0.15834 0.15786 0.15759 0.16870 0.16912 0.16707 10.000 10.010 10.005 0.16809 0.17099 0.17079 0.17084 0.17558 0.17576 0.17505 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 4.75205E-03 6.50596E-03 1.12580E-02 4.21301E-03 0.056238 9 1 10.0 0.0 180.0 7.13830E-02 4.86373E-03 2.28345E-03 7.14718E-03 4.31202E-03 0.031989 9 4 10.0 45.0 135.0 7.84307E-02 4.83116E-03 2.61264E-03 7.44380E-03 4.28314E-03 0.033311 9 7 10.0 90.0 90.0 1.05966E-01 4.79360E-03 4.91231E-03 9.70591E-03 4.24984E-03 0.046357 8 1 20.0 0.0 180.0 5.60704E-02 4.93567E-03 1.35492E-03 6.29059E-03 4.37580E-03 0.024165 8 4 20.0 45.0 135.0 6.24214E-02 4.86635E-03 1.57631E-03 6.44266E-03 4.31434E-03 0.025253 8 7 20.0 90.0 90.0 9.17877E-02 4.81739E-03 3.15324E-03 7.97063E-03 4.27093E-03 0.034354 7 1 30.0 0.0 180.0 4.86160E-02 5.03254E-03 1.17031E-03 6.20285E-03 4.46169E-03 0.024073 7 4 30.0 45.0 135.0 5.38891E-02 4.99739E-03 1.31286E-03 6.31025E-03 4.43052E-03 0.024362 7 7 30.0 90.0 90.0 7.86649E-02 4.91054E-03 2.17442E-03 7.08495E-03 4.35352E-03 0.027642 6 1 40.0 0.0 180.0 4.61458E-02 5.11363E-03 1.30124E-03 6.41487E-03 4.53357E-03 0.028198 6 4 40.0 45.0 135.0 5.04580E-02 5.06382E-03 1.41127E-03 6.47509E-03 4.48942E-03 0.027969 6 7 40.0 90.0 90.0 7.08422E-02 4.97450E-03 2.03855E-03 7.01305E-03 4.41023E-03 0.028776 5 1 50.0 0.0 180.0 4.83824E-02 5.21523E-03 2.05551E-03 7.27073E-03 4.62365E-03 0.042485 5 4 50.0 45.0 135.0 5.15579E-02 5.13311E-03 2.14146E-03 7.27457E-03 4.55084E-03 0.041535 5 7 50.0 90.0 90.0 6.85333E-02 5.05291E-03 2.76849E-03 7.82139E-03 4.47974E-03 0.040396 4 1 60.0 0.0 180.0 5.74306E-02 5.17427E-03 4.78837E-03 9.96264E-03 4.58734E-03 0.083377 4 4 60.0 45.0 135.0 5.87304E-02 5.08310E-03 4.72843E-03 9.81153E-03 4.50651E-03 0.080511 4 7 60.0 90.0 90.0 7.25243E-02 5.07100E-03 5.52173E-03 1.05927E-02 4.49578E-03 0.076136 3 1 70.0 0.0 180.0 7.96854E-02 4.83314E-03 1.32267E-02 1.80599E-02 4.28490E-03 0.165987 3 4 70.0 45.0 135.0 7.74426E-02 4.79823E-03 1.27266E-02 1.75248E-02 4.25395E-03 0.164336 3 7 70.0 90.0 90.0 8.65789E-02 4.79833E-03 1.38396E-02 1.86379E-02 4.25404E-03 0.159849 2 1 80.0 0.0 180.0 1.35387E-01 4.16347E-03 3.28778E-02 3.70412E-02 3.69119E-03 0.242843 2 4 80.0 45.0 135.0 1.25365E-01 4.12292E-03 3.17996E-02 3.59225E-02 3.65525E-03 0.253655 2 7 80.0 90.0 90.0 1.24552E-01 4.13383E-03 3.33028E-02 3.74367E-02 3.66492E-03 0.267382 1 1 87.5 0.0 180.0 2.18895E-01 3.36996E-03 5.79845E-02 6.13544E-02 2.98769E-03 0.264896 1 4 87.5 45.0 135.0 1.97088E-01 3.17728E-03 5.76265E-02 6.08038E-02 2.81687E-03 0.292389 1 7 87.5 90.0 90.0 1.79307E-01 3.53414E-03 5.89769E-02 6.25111E-02 3.13325E-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 1.126E-02 1.157E-01 1.401E-01 1.209E-01 1.810E-01 9.981E-03 5.118E+00 4.752E-03 4.213E-03 1 0.00 0.00 8.816E-03 2.154E-01 1.759E-02 2.009E-02 2.723E-02 7.968E-03 4.100E+00 3 4.05 5.00 3.992E-03 2.617E-01 1.021E-02 1.302E-02 2.064E-02 8.095E-03 4.468E+00 5 8.09 10.00 1.693E-03 1.461E-01 4.944E-03 6.290E-03 9.465E-03 8.136E-03 4.614E+00 Waveband 6 of 40 completed in 3.8 sec. * * * * * Output for wavelength band 7 (410.0 to 420.0 nm; nominal wavelength = 415.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 415.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 410.0 nm to 420.0 nm: Ed(diffuse) = 4.394E-01 Ed(direct) = 7.590E-01 Ed(total) = 1.198E+00 Absorption Coefficients of Individual Components at 415.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0044 0.0907 0.0293 0.1244 3 3.986 5.000 0.0044 0.0907 0.0293 0.1244 5 7.973 10.000 0.0044 0.0907 0.0293 0.1244 Scattering Coefficients of Individual Components at 415.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0065 0.6664 0.0000 0.6728 3 3.986 5.000 0.0065 0.6664 0.0000 0.6728 5 7.973 10.000 0.0065 0.6664 0.0000 0.6728 Backscattering Coefficients of Individual Components at 415.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00323 0.00666 0.00000 0.00989 3 3.986 5.000 0.00323 0.00666 0.00000 0.00989 5 7.973 10.000 0.00323 0.00666 0.00000 0.00989 Summary of Inherent Optical Properties at 415.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1244 0.6728 0.7973 0.8439 0.00989 0.01471 3 3.986 5.000 0.1244 0.6728 0.7973 0.8439 0.00989 0.01471 5 7.973 10.000 0.1244 0.6728 0.7973 0.8439 0.00989 0.01471 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3400E-01 8 20.00 7.7771E-01 7 30.00 5.8214E-01 6 40.00 3.9949E-01 5 50.00 2.5742E-01 4 60.00 1.6000E-01 3 70.00 9.8655E-02 2 80.00 6.2178E-02 1 87.50 4.4762E-02 1 92.50 3.5656E-02 2 100.00 2.7028E-02 3 110.00 1.9832E-02 4 120.00 1.5400E-02 5 130.00 1.2685E-02 6 140.00 1.1014E-02 7 150.00 9.9901E-03 8 160.00 9.3834E-03 9 170.00 9.0631E-03 10 180.00 8.9506E-03 Asymptotic AOP values are MUu(inf) = 0.3785 MUd(inf) = 0.7387 MU(inf) = 0.6673 R(inf) = 0.0350 Lu(inf)/Ed(inf) = 0.007326 (1/sr) k(inf) = 0.1865 (1/m) absorp(check) = 0.1244 = k(inf)*MU(inf) 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 1.6886E-01 1.7632E+00 1.9321E+00 5.9115E-02 1.1984E+00 0.3501 0.6797 0.5897 4.9327E-02 1 0.00 0.00 8.2974E-02 1.3618E+00 1.4448E+00 3.5030E-02 1.1743E+00 0.4222 0.8623 0.7886 2.9829E-02 3 3.99 5.00 4.2865E-02 6.4931E-01 6.9217E-01 1.6908E-02 5.1143E-01 0.3945 0.7877 0.7144 3.3061E-02 5 7.97 10.00 1.8762E-02 2.7718E-01 2.9594E-01 7.2450E-03 2.1099E-01 0.3862 0.7612 0.6885 3.4338E-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 0.09573 0.12579 0.12407 0.11947 0.15615 0.15728 0.15020 5.000 5.010 5.005 0.15550 0.16317 0.16269 0.16199 0.17324 0.17363 0.17139 10.000 10.010 10.005 0.17249 0.17558 0.17539 0.17519 0.18006 0.18023 0.17937 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 4.58786E-03 6.88404E-03 1.14719E-02 3.82817E-03 0.058054 9 1 10.0 0.0 180.0 7.31681E-02 4.69654E-03 2.36947E-03 7.06601E-03 3.91885E-03 0.032384 9 4 10.0 45.0 135.0 8.03920E-02 4.66469E-03 2.71518E-03 7.37987E-03 3.89227E-03 0.033774 9 7 10.0 90.0 90.0 1.08616E-01 4.62762E-03 5.16841E-03 9.79604E-03 3.86135E-03 0.047584 8 1 20.0 0.0 180.0 5.74725E-02 4.76619E-03 1.39027E-03 6.15646E-03 3.97697E-03 0.024190 8 4 20.0 45.0 135.0 6.39824E-02 4.69854E-03 1.61952E-03 6.31806E-03 3.92052E-03 0.025312 8 7 20.0 90.0 90.0 9.40831E-02 4.65006E-03 3.28278E-03 7.93284E-03 3.88007E-03 0.034892 7 1 30.0 0.0 180.0 4.98318E-02 4.85968E-03 1.19958E-03 6.05925E-03 4.05498E-03 0.024072 7 4 30.0 45.0 135.0 5.52379E-02 4.82474E-03 1.34587E-03 6.17061E-03 4.02582E-03 0.024365 7 7 30.0 90.0 90.0 8.06253E-02 4.73941E-03 2.23876E-03 6.97817E-03 3.95462E-03 0.027767 6 1 40.0 0.0 180.0 4.72998E-02 4.93746E-03 1.33378E-03 6.27124E-03 4.11988E-03 0.028198 6 4 40.0 45.0 135.0 5.17198E-02 4.88814E-03 1.44656E-03 6.33470E-03 4.07872E-03 0.027969 6 7 40.0 90.0 90.0 7.26138E-02 4.80060E-03 2.09017E-03 6.89077E-03 4.00568E-03 0.028785 5 1 50.0 0.0 180.0 4.95923E-02 5.03502E-03 2.10691E-03 7.14193E-03 4.20129E-03 0.042485 5 4 50.0 45.0 135.0 5.28472E-02 4.95451E-03 2.19501E-03 7.14952E-03 4.13410E-03 0.041535 5 7 50.0 90.0 90.0 7.02471E-02 4.87657E-03 2.83772E-03 7.71429E-03 4.06907E-03 0.040396 4 1 60.0 0.0 180.0 5.88668E-02 4.99504E-03 4.90811E-03 9.90315E-03 4.16793E-03 0.083377 4 4 60.0 45.0 135.0 6.01990E-02 4.90593E-03 4.84667E-03 9.75260E-03 4.09357E-03 0.080511 4 7 60.0 90.0 90.0 7.43379E-02 4.89482E-03 5.65981E-03 1.05546E-02 4.08430E-03 0.076136 3 1 70.0 0.0 180.0 8.16781E-02 4.66568E-03 1.35575E-02 1.82232E-02 3.89310E-03 0.165987 3 4 70.0 45.0 135.0 7.93792E-02 4.63130E-03 1.30448E-02 1.76761E-02 3.86441E-03 0.164336 3 7 70.0 90.0 90.0 8.87440E-02 4.63366E-03 1.41856E-02 1.88193E-02 3.86639E-03 0.159849 2 1 80.0 0.0 180.0 1.38772E-01 4.01946E-03 3.36999E-02 3.77194E-02 3.35389E-03 0.242843 2 4 80.0 45.0 135.0 1.28500E-01 3.98010E-03 3.25948E-02 3.65749E-02 3.32104E-03 0.253655 2 7 80.0 90.0 90.0 1.27666E-01 3.99409E-03 3.41356E-02 3.81297E-02 3.33272E-03 0.267382 1 1 87.5 0.0 180.0 2.24369E-01 3.25401E-03 5.94345E-02 6.26885E-02 2.71519E-03 0.264896 1 4 87.5 45.0 135.0 2.02017E-01 3.06815E-03 5.90676E-02 6.21357E-02 2.56010E-03 0.292389 1 7 87.5 90.0 90.0 1.83791E-01 3.41727E-03 6.04518E-02 6.38690E-02 2.85141E-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 1.147E-02 1.186E-01 1.435E-01 1.238E-01 1.854E-01 9.572E-03 5.153E+00 4.588E-03 3.828E-03 1 0.00 0.00 8.511E-03 2.207E-01 1.709E-02 1.964E-02 2.694E-02 7.248E-03 4.116E+00 3 3.99 5.00 3.771E-03 2.688E-01 9.736E-03 1.251E-02 2.010E-02 7.374E-03 4.483E+00 5 7.97 10.00 1.565E-03 1.487E-01 4.607E-03 5.910E-03 9.013E-03 7.419E-03 4.628E+00 Waveband 7 of 40 completed in 3.8 sec. * * * * * Output for wavelength band 8 (420.0 to 430.0 nm; nominal wavelength = 425.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 425.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 420.0 nm to 430.0 nm: Ed(diffuse) = 4.082E-01 Ed(direct) = 7.412E-01 Ed(total) = 1.149E+00 Absorption Coefficients of Individual Components at 425.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0048 0.0959 0.0254 0.1261 3 3.913 5.000 0.0048 0.0959 0.0254 0.1261 5 7.826 10.000 0.0048 0.0959 0.0254 0.1261 Scattering Coefficients of Individual Components at 425.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0058 0.6507 0.0000 0.6565 3 3.913 5.000 0.0058 0.6507 0.0000 0.6565 5 7.826 10.000 0.0058 0.6507 0.0000 0.6565 Backscattering Coefficients of Individual Components at 425.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00291 0.00651 0.00000 0.00942 3 3.913 5.000 0.00291 0.00651 0.00000 0.00942 5 7.826 10.000 0.00291 0.00651 0.00000 0.00942 Summary of Inherent Optical Properties at 425.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1261 0.6565 0.7826 0.8389 0.00942 0.01435 3 3.913 5.000 0.1261 0.6565 0.7826 0.8389 0.00942 0.01435 5 7.826 10.000 0.1261 0.6565 0.7826 0.8389 0.00942 0.01435 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3253E-01 8 20.00 7.7326E-01 7 30.00 5.7510E-01 6 40.00 3.9150E-01 5 50.00 2.5002E-01 4 60.00 1.5399E-01 3 70.00 9.4125E-02 2 80.00 5.8859E-02 1 87.50 4.2152E-02 1 92.50 3.3469E-02 2 100.00 2.5269E-02 3 110.00 1.8459E-02 4 120.00 1.4285E-02 5 130.00 1.1739E-02 6 140.00 1.0176E-02 7 150.00 9.2217E-03 8 160.00 8.6574E-03 9 170.00 8.3600E-03 10 180.00 8.2556E-03 Asymptotic AOP values are MUu(inf) = 0.3769 MUd(inf) = 0.7424 MU(inf) = 0.6741 R(inf) = 0.0330 Lu(inf)/Ed(inf) = 0.006862 (1/sr) k(inf) = 0.1871 (1/m) absorp(check) = 0.1261 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 425.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.5710E-01 1.6797E+00 1.8368E+00 5.5313E-02 1.1494E+00 0.3521 0.6843 0.5956 4.8124E-02 1 0.00 0.00 7.5178E-02 1.3017E+00 1.3769E+00 3.1636E-02 1.1257E+00 0.4208 0.8648 0.7946 2.8104E-02 3 3.91 5.00 3.8718E-02 6.1721E-01 6.5593E-01 1.5224E-02 4.8840E-01 0.3932 0.7913 0.7214 3.1171E-02 5 7.83 10.00 1.6914E-02 2.6264E-01 2.7956E-01 6.5108E-03 2.0092E-01 0.3849 0.7650 0.6954 3.2405E-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 0.09538 0.12697 0.12524 0.12010 0.15711 0.15818 0.15092 5.000 5.010 5.005 0.15596 0.16393 0.16346 0.16244 0.17386 0.17423 0.17182 10.000 10.010 10.005 0.17284 0.17614 0.17594 0.17556 0.18060 0.18077 0.17975 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 4.12708E-03 6.57864E-03 1.07057E-02 3.59066E-03 0.059731 9 1 10.0 0.0 180.0 6.79596E-02 4.22456E-03 2.22558E-03 6.45014E-03 3.67547E-03 0.032749 9 4 10.0 45.0 135.0 7.46693E-02 4.19595E-03 2.55379E-03 6.74974E-03 3.65058E-03 0.034201 9 7 10.0 90.0 90.0 1.00884E-01 4.16286E-03 4.91474E-03 9.07759E-03 3.62179E-03 0.048717 8 1 20.0 0.0 180.0 5.33813E-02 4.28710E-03 1.29256E-03 5.57966E-03 3.72989E-03 0.024214 8 4 20.0 45.0 135.0 5.94278E-02 4.22630E-03 1.50748E-03 5.73378E-03 3.67699E-03 0.025367 8 7 20.0 90.0 90.0 8.73858E-02 4.18318E-03 3.09254E-03 7.27572E-03 3.63947E-03 0.035390 7 1 30.0 0.0 180.0 4.62845E-02 4.37112E-03 1.11418E-03 5.48530E-03 3.80298E-03 0.024072 7 4 30.0 45.0 135.0 5.13067E-02 4.33975E-03 1.25022E-03 5.58997E-03 3.77569E-03 0.024368 7 7 30.0 90.0 90.0 7.48801E-02 4.26383E-03 2.08794E-03 6.35177E-03 3.70964E-03 0.027884 6 1 40.0 0.0 180.0 4.39327E-02 4.44099E-03 1.23883E-03 5.67983E-03 3.86377E-03 0.028198 6 4 40.0 45.0 135.0 4.80381E-02 4.39678E-03 1.34358E-03 5.74036E-03 3.82531E-03 0.027969 6 7 40.0 90.0 90.0 6.74447E-02 4.31960E-03 1.94194E-03 6.26154E-03 3.75816E-03 0.028793 5 1 50.0 0.0 180.0 4.60620E-02 4.52879E-03 1.95693E-03 6.48572E-03 3.94016E-03 0.042485 5 4 50.0 45.0 135.0 4.90853E-02 4.45671E-03 2.03876E-03 6.49547E-03 3.87745E-03 0.041535 5 7 50.0 90.0 90.0 6.52465E-02 4.38917E-03 2.63572E-03 7.02489E-03 3.81869E-03 0.040396 4 1 60.0 0.0 180.0 5.46763E-02 4.49297E-03 4.55872E-03 9.05170E-03 3.90900E-03 0.083377 4 4 60.0 45.0 135.0 5.59137E-02 4.41339E-03 4.50166E-03 8.91505E-03 3.83976E-03 0.080511 4 7 60.0 90.0 90.0 6.90461E-02 4.40710E-03 5.25692E-03 9.66401E-03 3.83428E-03 0.076136 3 1 70.0 0.0 180.0 7.58638E-02 4.19715E-03 1.25924E-02 1.67896E-02 3.65162E-03 0.165987 3 4 70.0 45.0 135.0 7.37285E-02 4.16712E-03 1.21162E-02 1.62834E-02 3.62550E-03 0.164336 3 7 70.0 90.0 90.0 8.24268E-02 4.17421E-03 1.31758E-02 1.73501E-02 3.63167E-03 0.159849 2 1 80.0 0.0 180.0 1.28894E-01 3.61633E-03 3.13010E-02 3.49173E-02 3.14630E-03 0.242843 2 4 80.0 45.0 135.0 1.19353E-01 3.58202E-03 3.02746E-02 3.38566E-02 3.11645E-03 0.253655 2 7 80.0 90.0 90.0 1.18578E-01 3.60008E-03 3.17057E-02 3.53058E-02 3.13216E-03 0.267382 1 1 87.5 0.0 180.0 2.08398E-01 2.92828E-03 5.52036E-02 5.81319E-02 2.54768E-03 0.264896 1 4 87.5 45.0 135.0 1.87636E-01 2.76215E-03 5.48628E-02 5.76250E-02 2.40314E-03 0.292389 1 7 87.5 90.0 90.0 1.70708E-01 3.08227E-03 5.61485E-02 5.92308E-02 2.68165E-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 1.071E-02 1.101E-01 1.333E-01 1.150E-01 1.722E-01 9.314E-03 5.167E+00 4.127E-03 3.591E-03 1 0.00 0.00 7.657E-03 2.050E-01 1.545E-02 1.785E-02 2.472E-02 6.802E-03 4.132E+00 3 3.91 5.00 3.383E-03 2.535E-01 8.784E-03 1.137E-02 1.846E-02 6.928E-03 4.500E+00 5 7.83 10.00 1.402E-03 1.413E-01 4.146E-03 5.357E-03 8.264E-03 6.976E-03 4.645E+00 Waveband 8 of 40 completed in 3.8 sec. * * * * * Output for wavelength band 9 (430.0 to 440.0 nm; nominal wavelength = 435.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 435.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 430.0 nm to 440.0 nm: Ed(diffuse) = 4.073E-01 Ed(direct) = 7.763E-01 Ed(total) = 1.184E+00 Absorption Coefficients of Individual Components at 435.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0053 0.1031 0.0221 0.1305 3 3.858 5.000 0.0053 0.1031 0.0221 0.1305 5 7.715 10.000 0.0053 0.1031 0.0221 0.1305 Scattering Coefficients of Individual Components at 435.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0053 0.6357 0.0000 0.6410 3 3.858 5.000 0.0053 0.6357 0.0000 0.6410 5 7.715 10.000 0.0053 0.6357 0.0000 0.6410 Backscattering Coefficients of Individual Components at 435.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00264 0.00636 0.00000 0.00899 3 3.858 5.000 0.00264 0.00636 0.00000 0.00899 5 7.715 10.000 0.00264 0.00636 0.00000 0.00899 Summary of Inherent Optical Properties at 435.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1305 0.6410 0.7715 0.8308 0.00899 0.01403 3 3.858 5.000 0.1305 0.6410 0.7715 0.8308 0.00899 0.01403 5 7.715 10.000 0.1305 0.6410 0.7715 0.8308 0.00899 0.01403 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3022E-01 8 20.00 7.6626E-01 7 30.00 5.6415E-01 6 40.00 3.7926E-01 5 50.00 2.3890E-01 4 60.00 1.4514E-01 3 70.00 8.7600E-02 2 80.00 5.4185E-02 1 87.50 3.8539E-02 1 92.50 3.0481E-02 2 100.00 2.2905E-02 3 110.00 1.6652E-02 4 120.00 1.2845E-02 5 130.00 1.0535E-02 6 140.00 9.1242E-03 7 150.00 8.2659E-03 8 160.00 7.7602E-03 9 170.00 7.4944E-03 10 180.00 7.4012E-03 Asymptotic AOP values are MUu(inf) = 0.3754 MUd(inf) = 0.7477 MU(inf) = 0.6837 R(inf) = 0.0304 Lu(inf)/Ed(inf) = 0.006298 (1/sr) k(inf) = 0.1909 (1/m) absorp(check) = 0.1305 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 435.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.5649E-01 1.7187E+00 1.8752E+00 5.5327E-02 1.1836E+00 0.3535 0.6887 0.6017 4.6743E-02 1 0.00 0.00 7.1571E-02 1.3350E+00 1.4066E+00 2.9997E-02 1.1583E+00 0.4191 0.8676 0.8022 2.5898E-02 3 3.86 5.00 3.6141E-02 6.1888E-01 6.5502E-01 1.4156E-02 4.9248E-01 0.3917 0.7958 0.7302 2.8743E-02 5 7.72 10.00 1.5489E-02 2.5803E-01 2.7351E-01 5.9407E-03 1.9866E-01 0.3835 0.7699 0.7046 2.9904E-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 0.09758 0.13114 0.12943 0.12362 0.16122 0.16222 0.15473 5.000 5.010 5.005 0.15989 0.16817 0.16771 0.16628 0.17783 0.17817 0.17555 10.000 10.010 10.005 0.17661 0.18013 0.17993 0.17929 0.18449 0.18465 0.18342 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 435.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.09916E-01 3.89843E-03 6.75154E-03 1.06500E-02 3.29362E-03 0.061424 9 1 10.0 0.0 180.0 6.78230E-02 3.99120E-03 2.24609E-03 6.23730E-03 3.37200E-03 0.033117 9 4 10.0 45.0 135.0 7.45191E-02 3.96387E-03 2.58081E-03 6.54468E-03 3.34891E-03 0.034633 9 7 10.0 90.0 90.0 1.00682E-01 3.93202E-03 5.02001E-03 8.95204E-03 3.32200E-03 0.049860 8 1 20.0 0.0 180.0 5.32740E-02 4.05052E-03 1.29122E-03 5.34174E-03 3.42212E-03 0.024237 8 4 20.0 45.0 135.0 5.93083E-02 3.99255E-03 1.50772E-03 5.50027E-03 3.37314E-03 0.025422 8 7 20.0 90.0 90.0 8.72100E-02 3.95092E-03 3.13012E-03 7.08104E-03 3.33797E-03 0.035892 7 1 30.0 0.0 180.0 4.61914E-02 4.12998E-03 1.11194E-03 5.24192E-03 3.48924E-03 0.024072 7 4 30.0 45.0 135.0 5.12045E-02 4.09960E-03 1.24786E-03 5.34746E-03 3.46358E-03 0.024370 7 7 30.0 90.0 90.0 7.47236E-02 4.02682E-03 2.09235E-03 6.11917E-03 3.40209E-03 0.028001 6 1 40.0 0.0 180.0 4.38444E-02 4.19580E-03 1.23634E-03 5.43214E-03 3.54486E-03 0.028198 6 4 40.0 45.0 135.0 4.79415E-02 4.15311E-03 1.34088E-03 5.49399E-03 3.50879E-03 0.027969 6 7 40.0 90.0 90.0 6.73091E-02 4.07931E-03 1.93860E-03 6.01791E-03 3.44644E-03 0.028801 5 1 50.0 0.0 180.0 4.59694E-02 4.27851E-03 1.95299E-03 6.23150E-03 3.61474E-03 0.042485 5 4 50.0 45.0 135.0 4.89866E-02 4.20952E-03 2.03466E-03 6.24418E-03 3.55644E-03 0.041535 5 7 50.0 90.0 90.0 6.51153E-02 4.14549E-03 2.63042E-03 6.77591E-03 3.50235E-03 0.040396 4 1 60.0 0.0 180.0 5.45664E-02 4.24451E-03 4.54956E-03 8.79407E-03 3.58601E-03 0.083377 4 4 60.0 45.0 135.0 5.58013E-02 4.16855E-03 4.49261E-03 8.66115E-03 3.52183E-03 0.080511 4 7 60.0 90.0 90.0 6.89073E-02 4.16326E-03 5.24635E-03 9.40961E-03 3.51737E-03 0.076136 3 1 70.0 0.0 180.0 7.57113E-02 3.96517E-03 1.25671E-02 1.65323E-02 3.35001E-03 0.165987 3 4 70.0 45.0 135.0 7.35803E-02 3.93635E-03 1.20919E-02 1.60282E-02 3.32566E-03 0.164336 3 7 70.0 90.0 90.0 8.22610E-02 3.94507E-03 1.31493E-02 1.70944E-02 3.33303E-03 0.159849 2 1 80.0 0.0 180.0 1.28635E-01 3.41677E-03 3.12380E-02 3.46548E-02 2.88668E-03 0.242843 2 4 80.0 45.0 135.0 1.19113E-01 3.38426E-03 3.02137E-02 3.35979E-02 2.85922E-03 0.253655 2 7 80.0 90.0 90.0 1.18340E-01 3.40427E-03 3.16419E-02 3.50462E-02 2.87613E-03 0.267382 1 1 87.5 0.0 180.0 2.07978E-01 2.76724E-03 5.50926E-02 5.78599E-02 2.33792E-03 0.264896 1 4 87.5 45.0 135.0 1.87259E-01 2.61046E-03 5.47525E-02 5.73630E-02 2.20547E-03 0.292389 1 7 87.5 90.0 90.0 1.70364E-01 2.91677E-03 5.60356E-02 5.89524E-02 2.46426E-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 1.065E-02 1.099E-01 1.329E-01 1.147E-01 1.717E-01 8.998E-03 5.195E+00 3.898E-03 3.294E-03 1 0.00 0.00 7.232E-03 2.046E-01 1.468E-02 1.708E-02 2.390E-02 6.244E-03 4.148E+00 3 3.86 5.00 3.136E-03 2.530E-01 8.208E-03 1.070E-02 1.757E-02 6.368E-03 4.514E+00 5 7.72 10.00 1.275E-03 1.399E-01 3.797E-03 4.943E-03 7.715E-03 6.419E-03 4.658E+00 Waveband 9 of 40 completed in 3.5 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 44.1 m at 445.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 440.0 nm to 450.0 nm: Ed(diffuse) = 4.682E-01 Ed(direct) = 9.292E-01 Ed(total) = 1.397E+00 Absorption Coefficients of Individual Components at 445.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0075 0.1000 0.0192 0.1267 3 3.765 5.000 0.0075 0.1000 0.0192 0.1267 5 7.530 10.000 0.0075 0.1000 0.0192 0.1267 Scattering Coefficients of Individual Components at 445.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0048 0.6214 0.0000 0.6262 3 3.765 5.000 0.0048 0.6214 0.0000 0.6262 5 7.530 10.000 0.0048 0.6214 0.0000 0.6262 Backscattering Coefficients of Individual Components at 445.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00239 0.00621 0.00000 0.00860 3 3.765 5.000 0.00239 0.00621 0.00000 0.00860 5 7.530 10.000 0.00239 0.00621 0.00000 0.00860 Summary of Inherent Optical Properties at 445.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1267 0.6262 0.7530 0.8317 0.00860 0.01374 3 3.765 5.000 0.1267 0.6262 0.7530 0.8317 0.00860 0.01374 5 7.530 10.000 0.1267 0.6262 0.7530 0.8317 0.00860 0.01374 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3047E-01 8 20.00 7.6699E-01 7 30.00 5.6525E-01 6 40.00 3.8042E-01 5 50.00 2.3986E-01 4 60.00 1.4581E-01 3 70.00 8.8003E-02 2 80.00 5.4397E-02 1 87.50 3.8650E-02 1 92.50 3.0534E-02 2 100.00 2.2907E-02 3 110.00 1.6611E-02 4 120.00 1.2779E-02 5 130.00 1.0454E-02 6 140.00 9.0334E-03 7 150.00 8.1691E-03 8 160.00 7.6597E-03 9 170.00 7.3919E-03 10 180.00 7.2981E-03 Asymptotic AOP values are MUu(inf) = 0.3742 MUd(inf) = 0.7474 MU(inf) = 0.6838 R(inf) = 0.0301 Lu(inf)/Ed(inf) = 0.006198 (1/sr) k(inf) = 0.1854 (1/m) absorp(check) = 0.1268 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 445.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.8121E-01 2.0183E+00 2.1996E+00 6.4557E-02 1.3974E+00 0.3563 0.6924 0.6060 4.6197E-02 1 0.00 0.00 8.3333E-02 1.5744E+00 1.6577E+00 3.4855E-02 1.3677E+00 0.4183 0.8687 0.8040 2.5485E-02 3 3.76 5.00 4.3258E-02 7.4920E-01 7.9246E-01 1.6906E-02 5.9734E-01 0.3908 0.7973 0.7325 2.8302E-02 5 7.53 10.00 1.9102E-02 3.2149E-01 3.4059E-01 7.3066E-03 2.4787E-01 0.3825 0.7710 0.7063 2.9477E-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 0.09302 0.12679 0.12509 0.11888 0.15626 0.15724 0.14972 5.000 5.010 5.005 0.15393 0.16250 0.16203 0.16044 0.17224 0.17258 0.16988 10.000 10.010 10.005 0.17062 0.17432 0.17411 0.17340 0.17880 0.17896 0.17769 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 4.50672E-03 7.94837E-03 1.24551E-02 3.22506E-03 0.062911 9 1 10.0 0.0 180.0 7.79584E-02 4.61233E-03 2.60697E-03 7.21930E-03 3.30064E-03 0.033441 9 4 10.0 45.0 135.0 8.56552E-02 4.58134E-03 2.99894E-03 7.58027E-03 3.27846E-03 0.035012 9 7 10.0 90.0 90.0 1.15727E-01 4.54613E-03 5.88645E-03 1.04326E-02 3.25326E-03 0.050865 8 1 20.0 0.0 180.0 6.12352E-02 4.68065E-03 1.48545E-03 6.16611E-03 3.34953E-03 0.024258 8 4 20.0 45.0 135.0 6.81713E-02 4.61463E-03 1.73634E-03 6.35097E-03 3.30228E-03 0.025470 8 7 20.0 90.0 90.0 1.00243E-01 4.56925E-03 3.64209E-03 8.21134E-03 3.26981E-03 0.036333 7 1 30.0 0.0 180.0 5.30942E-02 4.77266E-03 1.27811E-03 6.05077E-03 3.41537E-03 0.024072 7 4 30.0 45.0 135.0 5.88574E-02 4.73892E-03 1.43450E-03 6.17342E-03 3.39123E-03 0.024372 7 7 30.0 90.0 90.0 8.58844E-02 4.65875E-03 2.41373E-03 7.07248E-03 3.33386E-03 0.028104 6 1 40.0 0.0 180.0 5.03965E-02 4.84965E-03 1.42110E-03 6.27075E-03 3.47047E-03 0.028198 6 4 40.0 45.0 135.0 5.51058E-02 4.80220E-03 1.54126E-03 6.34346E-03 3.43651E-03 0.027969 6 7 40.0 90.0 90.0 7.73677E-02 4.72259E-03 2.22887E-03 6.95146E-03 3.37954E-03 0.028809 5 1 50.0 0.0 180.0 5.28390E-02 4.94649E-03 2.24484E-03 7.19133E-03 3.53976E-03 0.042485 5 4 50.0 45.0 135.0 5.63071E-02 4.86911E-03 2.33872E-03 7.20783E-03 3.48439E-03 0.041535 5 7 50.0 90.0 90.0 7.48461E-02 4.80251E-03 3.02351E-03 7.82601E-03 3.43673E-03 0.040396 4 1 60.0 0.0 180.0 6.27208E-02 4.90853E-03 5.22944E-03 1.01380E-02 3.51260E-03 0.083377 4 4 60.0 45.0 135.0 6.41402E-02 4.82354E-03 5.16398E-03 9.98751E-03 3.45178E-03 0.080511 4 7 60.0 90.0 90.0 7.92047E-02 4.82653E-03 6.03036E-03 1.08569E-02 3.45392E-03 0.076136 3 1 70.0 0.0 180.0 8.70255E-02 4.58703E-03 1.44451E-02 1.90321E-02 3.28253E-03 0.165987 3 4 70.0 45.0 135.0 8.45761E-02 4.55690E-03 1.38989E-02 1.84558E-02 3.26097E-03 0.164336 3 7 70.0 90.0 90.0 9.45540E-02 4.57735E-03 1.51144E-02 1.96917E-02 3.27561E-03 0.159849 2 1 80.0 0.0 180.0 1.47858E-01 3.95387E-03 3.59062E-02 3.98601E-02 2.82944E-03 0.242843 2 4 80.0 45.0 135.0 1.36913E-01 3.91945E-03 3.47288E-02 3.86482E-02 2.80480E-03 0.253655 2 7 80.0 90.0 90.0 1.36024E-01 3.95280E-03 3.63705E-02 4.03233E-02 2.82867E-03 0.267382 1 1 87.5 0.0 180.0 2.39059E-01 3.20324E-03 6.33256E-02 6.65289E-02 2.29228E-03 0.264896 1 4 87.5 45.0 135.0 2.15243E-01 3.02451E-03 6.29347E-02 6.59592E-02 2.16438E-03 0.292389 1 7 87.5 90.0 90.0 1.95824E-01 3.38916E-03 6.44095E-02 6.77987E-02 2.42533E-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 1.246E-02 1.263E-01 1.528E-01 1.318E-01 1.974E-01 8.913E-03 5.183E+00 4.507E-03 3.225E-03 1 0.00 0.00 8.361E-03 2.352E-01 1.702E-02 1.990E-02 2.804E-02 6.113E-03 4.169E+00 3 3.76 5.00 3.725E-03 3.020E-01 9.774E-03 1.282E-02 2.122E-02 6.236E-03 4.539E+00 5 7.53 10.00 1.559E-03 1.728E-01 4.658E-03 6.106E-03 9.629E-03 6.288E-03 4.688E+00 Waveband 10 of 40 completed in 3.4 sec. * * * * * Output for wavelength band 11 (450.0 to 460.0 nm; nominal wavelength = 455.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 455.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 450.0 nm to 460.0 nm: Ed(diffuse) = 4.888E-01 Ed(direct) = 1.007E+00 Ed(total) = 1.495E+00 Absorption Coefficients of Individual Components at 455.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0096 0.0949 0.0167 0.1212 3 3.667 5.000 0.0096 0.0949 0.0167 0.1212 5 7.333 10.000 0.0096 0.0949 0.0167 0.1212 Scattering Coefficients of Individual Components at 455.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0043 0.6078 0.0000 0.6121 3 3.667 5.000 0.0043 0.6078 0.0000 0.6121 5 7.333 10.000 0.0043 0.6078 0.0000 0.6121 Backscattering Coefficients of Individual Components at 455.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00217 0.00608 0.00000 0.00825 3 3.667 5.000 0.00217 0.00608 0.00000 0.00825 5 7.333 10.000 0.00217 0.00608 0.00000 0.00825 Summary of Inherent Optical Properties at 455.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1212 0.6121 0.7333 0.8347 0.00825 0.01348 3 3.667 5.000 0.1212 0.6121 0.7333 0.8347 0.00825 0.01348 5 7.333 10.000 0.1212 0.6121 0.7333 0.8347 0.00825 0.01348 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3136E-01 8 20.00 7.6966E-01 7 30.00 5.6936E-01 6 40.00 3.8492E-01 5 50.00 2.4384E-01 4 60.00 1.4885E-01 3 70.00 9.0132E-02 2 80.00 5.5824E-02 1 87.50 3.9685E-02 1 92.50 3.1343E-02 2 100.00 2.3495E-02 3 110.00 1.7008E-02 4 120.00 1.3052E-02 5 130.00 1.0649E-02 6 140.00 9.1793E-03 7 150.00 8.2837E-03 8 160.00 7.7553E-03 9 170.00 7.4772E-03 10 180.00 7.3799E-03 Asymptotic AOP values are MUu(inf) = 0.3730 MUd(inf) = 0.7457 MU(inf) = 0.6816 R(inf) = 0.0304 Lu(inf)/Ed(inf) = 0.006214 (1/sr) k(inf) = 0.1778 (1/m) absorp(check) = 0.1212 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 455.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.9119E-01 2.1495E+00 2.3407E+00 6.8706E-02 1.4954E+00 0.3594 0.6957 0.6095 4.5944E-02 1 0.00 0.00 8.9921E-02 1.6847E+00 1.7747E+00 3.7575E-02 1.4643E+00 0.4179 0.8692 0.8039 2.5661E-02 3 3.67 5.00 4.8438E-02 8.3160E-01 8.8004E-01 1.8914E-02 6.6360E-01 0.3905 0.7980 0.7326 2.8502E-02 5 7.33 10.00 2.2266E-02 3.7118E-01 3.9344E-01 8.5035E-03 2.8619E-01 0.3819 0.7710 0.7058 2.9713E-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 0.08727 0.12061 0.11892 0.11258 0.14935 0.15031 0.14288 5.000 5.010 5.005 0.14596 0.15472 0.15424 0.15261 0.16460 0.16495 0.16226 10.000 10.010 10.005 0.16259 0.16641 0.16619 0.16549 0.17106 0.17123 0.16998 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 455.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.31908E-01 4.83774E-03 8.48427E-03 1.33220E-02 3.23500E-03 0.064320 9 1 10.0 0.0 180.0 8.13927E-02 4.94822E-03 2.74675E-03 7.69497E-03 3.30887E-03 0.033747 9 4 10.0 45.0 135.0 8.94286E-02 4.91599E-03 3.16313E-03 8.07913E-03 3.28732E-03 0.035370 9 7 10.0 90.0 90.0 1.20826E-01 4.88081E-03 6.26069E-03 1.11415E-02 3.26380E-03 0.051816 8 1 20.0 0.0 180.0 6.39329E-02 5.02074E-03 1.55216E-03 6.57289E-03 3.35736E-03 0.024278 8 4 20.0 45.0 135.0 7.11745E-02 4.95160E-03 1.81610E-03 6.76770E-03 3.31113E-03 0.025516 8 7 20.0 90.0 90.0 1.04659E-01 4.90725E-03 3.84625E-03 8.75350E-03 3.28147E-03 0.036750 7 1 30.0 0.0 180.0 5.54332E-02 5.11925E-03 1.33441E-03 6.45366E-03 3.42324E-03 0.024072 7 4 30.0 45.0 135.0 6.14512E-02 5.08542E-03 1.49785E-03 6.58328E-03 3.40062E-03 0.024375 7 7 30.0 90.0 90.0 8.96620E-02 5.00553E-03 2.52866E-03 7.53419E-03 3.34720E-03 0.028202 6 1 40.0 0.0 180.0 5.26166E-02 5.20258E-03 1.48370E-03 6.68629E-03 3.47896E-03 0.028198 6 4 40.0 45.0 135.0 5.75335E-02 5.15486E-03 1.60916E-03 6.76403E-03 3.44705E-03 0.027969 6 7 40.0 90.0 90.0 8.07761E-02 5.07786E-03 2.32762E-03 7.40548E-03 3.39556E-03 0.028816 5 1 50.0 0.0 180.0 5.51668E-02 5.30775E-03 2.34374E-03 7.65149E-03 3.54929E-03 0.042485 5 4 50.0 45.0 135.0 5.87877E-02 5.22859E-03 2.44175E-03 7.67034E-03 3.49635E-03 0.041535 5 7 50.0 90.0 90.0 7.81434E-02 5.16745E-03 3.15670E-03 8.32416E-03 3.45547E-03 0.040396 4 1 60.0 0.0 180.0 6.54838E-02 5.26845E-03 5.45982E-03 1.07283E-02 3.52301E-03 0.083377 4 4 60.0 45.0 135.0 6.69658E-02 5.18165E-03 5.39147E-03 1.05731E-02 3.46497E-03 0.080511 4 7 60.0 90.0 90.0 8.26940E-02 5.19697E-03 6.29602E-03 1.14930E-02 3.47521E-03 0.076136 3 1 70.0 0.0 180.0 9.08593E-02 4.92501E-03 1.50815E-02 2.00065E-02 3.29335E-03 0.165987 3 4 70.0 45.0 135.0 8.83020E-02 4.89736E-03 1.45112E-02 1.94085E-02 3.27486E-03 0.164336 3 7 70.0 90.0 90.0 9.87195E-02 4.93230E-03 1.57802E-02 2.07125E-02 3.29823E-03 0.159849 2 1 80.0 0.0 180.0 1.54371E-01 4.24645E-03 3.74880E-02 4.17345E-02 2.83960E-03 0.242843 2 4 80.0 45.0 135.0 1.42945E-01 4.21393E-03 3.62587E-02 4.04726E-02 2.81785E-03 0.253655 2 7 80.0 90.0 90.0 1.42017E-01 4.26195E-03 3.79727E-02 4.22347E-02 2.84996E-03 0.267382 1 1 87.5 0.0 180.0 2.49590E-01 3.44118E-03 6.61154E-02 6.95565E-02 2.30111E-03 0.264896 1 4 87.5 45.0 135.0 2.24725E-01 3.25284E-03 6.57072E-02 6.89600E-02 2.17517E-03 0.292389 1 7 87.5 90.0 90.0 2.04450E-01 3.65615E-03 6.72470E-02 7.09031E-02 2.44487E-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 1.332E-02 1.319E-01 1.596E-01 1.377E-01 2.062E-01 8.908E-03 5.157E+00 4.838E-03 3.235E-03 1 0.00 0.00 8.975E-03 2.455E-01 1.828E-02 2.147E-02 3.037E-02 6.129E-03 4.187E+00 3 3.67 5.00 4.149E-03 3.298E-01 1.087E-02 1.432E-02 2.384E-02 6.252E-03 4.559E+00 5 7.33 10.00 1.804E-03 1.970E-01 5.394E-03 7.109E-03 1.130E-02 6.304E-03 4.714E+00 Waveband 11 of 40 completed in 3.3 sec. * * * * * Output for wavelength band 12 (460.0 to 470.0 nm; nominal wavelength = 465.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 465.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 460.0 nm to 470.0 nm: Ed(diffuse) = 4.757E-01 Ed(direct) = 1.013E+00 Ed(total) = 1.489E+00 Absorption Coefficients of Individual Components at 465.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0101 0.0928 0.0145 0.1174 3 3.580 5.000 0.0101 0.0928 0.0145 0.1174 5 7.161 10.000 0.0101 0.0928 0.0145 0.1174 Scattering Coefficients of Individual Components at 465.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0040 0.5947 0.0000 0.5987 3 3.580 5.000 0.0040 0.5947 0.0000 0.5987 5 7.161 10.000 0.0040 0.5947 0.0000 0.5987 Backscattering Coefficients of Individual Components at 465.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00198 0.00595 0.00000 0.00792 3 3.580 5.000 0.00198 0.00595 0.00000 0.00792 5 7.161 10.000 0.00198 0.00595 0.00000 0.00792 Summary of Inherent Optical Properties at 465.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1174 0.5987 0.7161 0.8360 0.00792 0.01324 3 3.580 5.000 0.1174 0.5987 0.7161 0.8360 0.00792 0.01324 5 7.161 10.000 0.1174 0.5987 0.7161 0.8360 0.00792 0.01324 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3173E-01 8 20.00 7.7077E-01 7 30.00 5.7107E-01 6 40.00 3.8677E-01 5 50.00 2.4544E-01 4 60.00 1.5004E-01 3 70.00 9.0929E-02 2 80.00 5.6324E-02 1 87.50 4.0022E-02 1 92.50 3.1586E-02 2 100.00 2.3647E-02 3 110.00 1.7084E-02 4 120.00 1.3081E-02 5 130.00 1.0648E-02 6 140.00 9.1589E-03 7 150.00 8.2514E-03 8 160.00 7.7157E-03 9 170.00 7.4337E-03 10 180.00 7.3351E-03 Asymptotic AOP values are MUu(inf) = 0.3720 MUd(inf) = 0.7451 MU(inf) = 0.6812 R(inf) = 0.0303 Lu(inf)/Ed(inf) = 0.006155 (1/sr) k(inf) = 0.1724 (1/m) absorp(check) = 0.1174 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 465.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.8764E-01 2.1311E+00 2.3188E+00 6.7938E-02 1.4892E+00 0.3621 0.6988 0.6129 4.5621E-02 1 0.00 0.00 8.9452E-02 1.6770E+00 1.7664E+00 3.7341E-02 1.4586E+00 0.4174 0.8698 0.8046 2.5601E-02 3 3.58 5.00 4.9422E-02 8.4914E-01 8.9857E-01 1.9282E-02 6.7854E-01 0.3901 0.7991 0.7337 2.8417E-02 5 7.16 10.00 2.3371E-02 3.8978E-01 4.1315E-01 8.9130E-03 3.0080E-01 0.3814 0.7717 0.7065 2.9631E-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 0.08361 0.11637 0.11471 0.10840 0.14449 0.14544 0.13821 5.000 5.010 5.005 0.14040 0.14921 0.14873 0.14714 0.15916 0.15951 0.15694 10.000 10.010 10.005 0.15690 0.16075 0.16054 0.15991 0.16551 0.16568 0.16456 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 465.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.28363E-01 4.79126E-03 8.42910E-03 1.32204E-02 3.21736E-03 0.065666 9 1 10.0 0.0 180.0 7.92052E-02 4.89823E-03 2.69613E-03 7.59436E-03 3.28919E-03 0.034040 9 4 10.0 45.0 135.0 8.70251E-02 4.86717E-03 3.10798E-03 7.97515E-03 3.26833E-03 0.035714 9 7 10.0 90.0 90.0 1.17578E-01 4.83447E-03 6.19937E-03 1.10338E-02 3.24637E-03 0.052726 8 1 20.0 0.0 180.0 6.22146E-02 4.96922E-03 1.51161E-03 6.48083E-03 3.33686E-03 0.024297 8 4 20.0 45.0 135.0 6.92616E-02 4.90218E-03 1.77032E-03 6.67251E-03 3.29184E-03 0.025560 8 7 20.0 90.0 90.0 1.01846E-01 4.86182E-03 3.78355E-03 8.64537E-03 3.26474E-03 0.037150 7 1 30.0 0.0 180.0 5.39434E-02 5.06639E-03 1.29855E-03 6.36493E-03 3.40211E-03 0.024072 7 4 30.0 45.0 135.0 5.98005E-02 5.03485E-03 1.45774E-03 6.49259E-03 3.38093E-03 0.024377 7 7 30.0 90.0 90.0 8.72468E-02 4.96076E-03 2.46870E-03 7.42946E-03 3.33118E-03 0.028296 6 1 40.0 0.0 180.0 5.12025E-02 5.14918E-03 1.44382E-03 6.59301E-03 3.45770E-03 0.028198 6 4 40.0 45.0 135.0 5.59872E-02 5.10456E-03 1.56591E-03 6.67047E-03 3.42774E-03 0.027969 6 7 40.0 90.0 90.0 7.86051E-02 5.03517E-03 2.26558E-03 7.30075E-03 3.38115E-03 0.028822 5 1 50.0 0.0 180.0 5.36841E-02 5.25408E-03 2.28075E-03 7.53483E-03 3.52814E-03 0.042485 5 4 50.0 45.0 135.0 5.72076E-02 5.17887E-03 2.37612E-03 7.55499E-03 3.47764E-03 0.041535 5 7 50.0 90.0 90.0 7.60432E-02 5.12675E-03 3.07186E-03 8.19861E-03 3.44264E-03 0.040396 4 1 60.0 0.0 180.0 6.37239E-02 5.21614E-03 5.31308E-03 1.05292E-02 3.50267E-03 0.083377 4 4 60.0 45.0 135.0 6.51660E-02 5.13380E-03 5.24657E-03 1.03804E-02 3.44738E-03 0.080511 4 7 60.0 90.0 90.0 8.04715E-02 5.15880E-03 6.12680E-03 1.12856E-02 3.46416E-03 0.076136 3 1 70.0 0.0 180.0 8.84173E-02 4.87729E-03 1.46761E-02 1.95534E-02 3.27513E-03 0.165987 3 4 70.0 45.0 135.0 8.59287E-02 4.85375E-03 1.41212E-02 1.89749E-02 3.25932E-03 0.164336 3 7 70.0 90.0 90.0 9.60663E-02 4.89890E-03 1.53561E-02 2.02550E-02 3.28964E-03 0.159849 2 1 80.0 0.0 180.0 1.50222E-01 4.20626E-03 3.64805E-02 4.06868E-02 2.82453E-03 0.242843 2 4 80.0 45.0 135.0 1.39103E-01 4.17768E-03 3.52842E-02 3.94619E-02 2.80533E-03 0.253655 2 7 80.0 90.0 90.0 1.38200E-01 4.23519E-03 3.69522E-02 4.11873E-02 2.84395E-03 0.267382 1 1 87.5 0.0 180.0 2.42882E-01 3.40936E-03 6.43384E-02 6.77478E-02 2.28940E-03 0.264896 1 4 87.5 45.0 135.0 2.18685E-01 3.22576E-03 6.39412E-02 6.71670E-02 2.16611E-03 0.292389 1 7 87.5 90.0 90.0 1.98955E-01 3.63480E-03 6.54396E-02 6.90744E-02 2.44079E-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 1.322E-02 1.284E-01 1.553E-01 1.340E-01 2.007E-01 8.878E-03 5.139E+00 4.791E-03 3.217E-03 1 0.00 0.00 8.888E-03 2.389E-01 1.812E-02 2.136E-02 3.033E-02 6.094E-03 4.201E+00 3 3.58 5.00 4.215E-03 3.320E-01 1.104E-02 1.459E-02 2.440E-02 6.212E-03 4.574E+00 5 7.16 10.00 1.883E-03 2.049E-01 5.631E-03 7.457E-03 1.194E-02 6.260E-03 4.733E+00 Waveband 12 of 40 completed in 3.7 sec. * * * * * Output for wavelength band 13 (470.0 to 480.0 nm; nominal wavelength = 475.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 475.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 470.0 nm to 480.0 nm: Ed(diffuse) = 4.727E-01 Ed(direct) = 1.039E+00 Ed(total) = 1.512E+00 Absorption Coefficients of Individual Components at 475.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0114 0.0856 0.0126 0.1096 3 3.477 5.000 0.0114 0.0856 0.0126 0.1096 5 6.954 10.000 0.0114 0.0856 0.0126 0.1096 Scattering Coefficients of Individual Components at 475.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0036 0.5822 0.0000 0.5858 3 3.477 5.000 0.0036 0.5822 0.0000 0.5858 5 6.954 10.000 0.0036 0.5822 0.0000 0.5858 Backscattering Coefficients of Individual Components at 475.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00180 0.00582 0.00000 0.00762 3 3.477 5.000 0.00180 0.00582 0.00000 0.00762 5 6.954 10.000 0.00180 0.00582 0.00000 0.00762 Summary of Inherent Optical Properties at 475.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1096 0.5858 0.6954 0.8424 0.00762 0.01302 3 3.477 5.000 0.1096 0.5858 0.6954 0.8424 0.00762 0.01302 5 6.954 10.000 0.1096 0.5858 0.6954 0.8424 0.00762 0.01302 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3358E-01 8 20.00 7.7635E-01 7 30.00 5.7979E-01 6 40.00 3.9649E-01 5 50.00 2.5421E-01 4 60.00 1.5694E-01 3 70.00 9.5909E-02 2 80.00 5.9785E-02 1 87.50 4.2614E-02 1 92.50 3.3668E-02 2 100.00 2.5225E-02 3 110.00 1.8218E-02 4 120.00 1.3924E-02 5 130.00 1.1305E-02 6 140.00 9.6976E-03 7 150.00 8.7149E-03 8 160.00 8.1332E-03 9 170.00 7.8265E-03 10 180.00 7.7192E-03 Asymptotic AOP values are MUu(inf) = 0.3711 MUd(inf) = 0.7412 MU(inf) = 0.6751 R(inf) = 0.0316 Lu(inf)/Ed(inf) = 0.006360 (1/sr) k(inf) = 0.1624 (1/m) absorp(check) = 0.1096 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 475.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.8918E-01 2.1546E+00 2.3438E+00 6.9153E-02 1.5117E+00 0.3655 0.7016 0.6155 4.5746E-02 1 0.00 0.00 9.4182E-02 1.7044E+00 1.7986E+00 3.9323E-02 1.4818E+00 0.4175 0.8694 0.8020 2.6537E-02 3 3.48 5.00 5.4620E-02 9.0683E-01 9.6144E-01 2.1316E-02 7.2422E-01 0.3903 0.7986 0.7311 2.9433E-02 5 6.95 10.00 2.7228E-02 4.3868E-01 4.6591E-01 1.0377E-02 3.3792E-01 0.3811 0.7703 0.7030 3.0710E-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 0.07673 0.10794 0.10631 0.10021 0.13517 0.13612 0.12922 5.000 5.010 5.005 0.12993 0.13881 0.13831 0.13688 0.14901 0.14938 0.14697 10.000 10.010 10.005 0.14632 0.15023 0.15000 0.14950 0.15522 0.15541 0.15444 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 5.02431E-03 8.53835E-03 1.35627E-02 3.32365E-03 0.066936 9 1 10.0 0.0 180.0 7.87103E-02 5.13234E-03 2.70103E-03 7.83336E-03 3.39512E-03 0.034316 9 4 10.0 45.0 135.0 8.64814E-02 5.10130E-03 3.11653E-03 8.21783E-03 3.37458E-03 0.036037 9 7 10.0 90.0 90.0 1.16844E-01 5.07077E-03 6.26082E-03 1.13316E-02 3.35439E-03 0.053583 8 1 20.0 0.0 180.0 6.18259E-02 5.20565E-03 1.50327E-03 6.70891E-03 3.44361E-03 0.024315 8 4 20.0 45.0 135.0 6.88288E-02 5.13791E-03 1.76211E-03 6.90002E-03 3.39880E-03 0.025601 8 7 20.0 90.0 90.0 1.01210E-01 5.10181E-03 3.79801E-03 8.89982E-03 3.37492E-03 0.037526 7 1 30.0 0.0 180.0 5.36063E-02 5.30725E-03 1.29043E-03 6.59768E-03 3.51082E-03 0.024072 7 4 30.0 45.0 135.0 5.94277E-02 5.27770E-03 1.44877E-03 6.72647E-03 3.49128E-03 0.024379 7 7 30.0 90.0 90.0 8.66965E-02 5.20872E-03 2.46077E-03 7.66949E-03 3.44564E-03 0.028384 6 1 40.0 0.0 180.0 5.08826E-02 5.39521E-03 1.43480E-03 6.83001E-03 3.56901E-03 0.028198 6 4 40.0 45.0 135.0 5.56374E-02 5.35311E-03 1.55613E-03 6.90924E-03 3.54116E-03 0.027969 6 7 40.0 90.0 90.0 7.81140E-02 5.29203E-03 2.25191E-03 7.54395E-03 3.50076E-03 0.028829 5 1 50.0 0.0 180.0 5.33487E-02 5.50705E-03 2.26650E-03 7.77354E-03 3.64299E-03 0.042485 5 4 50.0 45.0 135.0 5.68502E-02 5.43377E-03 2.36127E-03 7.79505E-03 3.59452E-03 0.041535 5 7 50.0 90.0 90.0 7.55680E-02 5.39307E-03 3.05267E-03 8.44574E-03 3.56760E-03 0.040396 4 1 60.0 0.0 180.0 6.33257E-02 5.46938E-03 5.27988E-03 1.07493E-02 3.61807E-03 0.083377 4 4 60.0 45.0 135.0 6.47589E-02 5.38929E-03 5.21379E-03 1.06031E-02 3.56509E-03 0.080511 4 7 60.0 90.0 90.0 7.99687E-02 5.43140E-03 6.08852E-03 1.15199E-02 3.59295E-03 0.076136 3 1 70.0 0.0 180.0 8.78649E-02 5.11627E-03 1.45844E-02 1.97007E-02 3.38449E-03 0.165987 3 4 70.0 45.0 135.0 8.53918E-02 5.09804E-03 1.40329E-02 1.91310E-02 3.37243E-03 0.164336 3 7 70.0 90.0 90.0 9.54660E-02 5.16188E-03 1.52602E-02 2.04220E-02 3.41466E-03 0.159849 2 1 80.0 0.0 180.0 1.49284E-01 4.41395E-03 3.62526E-02 4.06665E-02 2.91989E-03 0.242843 2 4 80.0 45.0 135.0 1.38234E-01 4.38992E-03 3.50637E-02 3.94537E-02 2.90400E-03 0.253655 2 7 80.0 90.0 90.0 1.37336E-01 4.46527E-03 3.67213E-02 4.11866E-02 2.95384E-03 0.267382 1 1 87.5 0.0 180.0 2.41364E-01 3.57869E-03 6.39364E-02 6.75151E-02 2.36736E-03 0.264896 1 4 87.5 45.0 135.0 2.17319E-01 3.39075E-03 6.35417E-02 6.69324E-02 2.24303E-03 0.292389 1 7 87.5 90.0 90.0 1.97712E-01 3.83387E-03 6.50307E-02 6.88646E-02 2.53616E-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 1.356E-02 1.276E-01 1.544E-01 1.333E-01 1.996E-01 8.972E-03 5.099E+00 5.024E-03 3.324E-03 1 0.00 0.00 9.320E-03 2.375E-01 1.897E-02 2.244E-02 3.193E-02 6.290E-03 4.219E+00 3 3.48 5.00 4.638E-03 3.479E-01 1.209E-02 1.602E-02 2.688E-02 6.405E-03 4.596E+00 5 6.95 10.00 2.179E-03 2.265E-01 6.502E-03 8.648E-03 1.394E-02 6.448E-03 4.763E+00 Waveband 13 of 40 completed in 3.9 sec. * * * * * Output for wavelength band 14 (480.0 to 490.0 nm; nominal wavelength = 485.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 485.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 480.0 nm to 490.0 nm: Ed(diffuse) = 4.491E-01 Ed(direct) = 1.015E+00 Ed(total) = 1.464E+00 Absorption Coefficients of Individual Components at 485.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0136 0.0794 0.0110 0.1040 3 3.387 5.000 0.0136 0.0794 0.0110 0.1040 5 6.775 10.000 0.0136 0.0794 0.0110 0.1040 Scattering Coefficients of Individual Components at 485.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0033 0.5702 0.0000 0.5735 3 3.387 5.000 0.0033 0.5702 0.0000 0.5735 5 6.775 10.000 0.0033 0.5702 0.0000 0.5735 Backscattering Coefficients of Individual Components at 485.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00165 0.00570 0.00000 0.00735 3 3.387 5.000 0.00165 0.00570 0.00000 0.00735 5 6.775 10.000 0.00165 0.00570 0.00000 0.00735 Summary of Inherent Optical Properties at 485.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1040 0.5735 0.6775 0.8465 0.00735 0.01282 3 3.387 5.000 0.1040 0.5735 0.6775 0.8465 0.00735 0.01282 5 6.775 10.000 0.1040 0.5735 0.6775 0.8465 0.00735 0.01282 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3478E-01 8 20.00 7.8000E-01 7 30.00 5.8553E-01 6 40.00 4.0295E-01 5 50.00 2.6009E-01 4 60.00 1.6159E-01 3 70.00 9.9282E-02 2 80.00 6.2133E-02 1 87.50 4.4371E-02 1 92.50 3.5074E-02 2 100.00 2.6283E-02 3 110.00 1.8969E-02 4 120.00 1.4474E-02 5 130.00 1.1726E-02 6 140.00 1.0036E-02 7 150.00 9.0006E-03 8 160.00 8.3869E-03 9 170.00 8.0627E-03 10 180.00 7.9495E-03 Asymptotic AOP values are MUu(inf) = 0.3703 MUd(inf) = 0.7386 MU(inf) = 0.6713 R(inf) = 0.0324 Lu(inf)/Ed(inf) = 0.006471 (1/sr) k(inf) = 0.1549 (1/m) absorp(check) = 0.1040 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 485.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.8177E-01 2.0794E+00 2.2611E+00 6.6960E-02 1.4641E+00 0.3684 0.7041 0.6179 4.5735E-02 1 0.00 0.00 9.3186E-02 1.6519E+00 1.7450E+00 3.8897E-02 1.4360E+00 0.4174 0.8693 0.8006 2.7086E-02 3 3.39 5.00 5.5977E-02 9.1107E-01 9.6705E-01 2.1844E-02 7.2776E-01 0.3902 0.7988 0.7300 3.0016E-02 5 6.77 10.00 2.9018E-02 4.5816E-01 4.8718E-01 1.1051E-02 3.5269E-01 0.3808 0.7698 0.7013 3.1334E-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 0.07177 0.10187 0.10026 0.09432 0.12835 0.12929 0.12268 5.000 5.010 5.005 0.12222 0.13116 0.13065 0.12931 0.14151 0.14189 0.13961 10.000 10.010 10.005 0.13845 0.14242 0.14219 0.14176 0.14759 0.14778 0.14690 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 485.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.21185E-01 4.95045E-03 8.25403E-03 1.32045E-02 3.38123E-03 0.068111 9 1 10.0 0.0 180.0 7.47760E-02 5.05362E-03 2.58514E-03 7.63876E-03 3.45170E-03 0.034572 9 4 10.0 45.0 135.0 8.21586E-02 5.02424E-03 2.98536E-03 8.00960E-03 3.43163E-03 0.036337 9 7 10.0 90.0 90.0 1.11003E-01 4.99715E-03 6.03602E-03 1.10332E-02 3.41313E-03 0.054377 8 1 20.0 0.0 180.0 5.87355E-02 5.12496E-03 1.42909E-03 6.55406E-03 3.50043E-03 0.024331 8 4 20.0 45.0 135.0 6.53884E-02 5.06025E-03 1.67654E-03 6.73678E-03 3.45623E-03 0.025640 8 7 20.0 90.0 90.0 9.61506E-02 5.02962E-03 3.64169E-03 8.67132E-03 3.43531E-03 0.037875 7 1 30.0 0.0 180.0 5.09268E-02 5.22487E-03 1.22593E-03 6.45080E-03 3.56866E-03 0.024072 7 4 30.0 45.0 135.0 5.64580E-02 5.19854E-03 1.37647E-03 6.57501E-03 3.55068E-03 0.024380 7 7 30.0 90.0 90.0 8.23585E-02 5.13752E-03 2.34436E-03 7.48188E-03 3.50900E-03 0.028465 6 1 40.0 0.0 180.0 4.83392E-02 5.31248E-03 1.36308E-03 6.67556E-03 3.62850E-03 0.028198 6 4 40.0 45.0 135.0 5.28563E-02 5.27471E-03 1.47835E-03 6.75306E-03 3.60271E-03 0.027969 6 7 40.0 90.0 90.0 7.42095E-02 5.22392E-03 2.13978E-03 7.36370E-03 3.56801E-03 0.028834 5 1 50.0 0.0 180.0 5.06821E-02 5.42419E-03 2.15321E-03 7.57740E-03 3.70480E-03 0.042485 5 4 50.0 45.0 135.0 5.40086E-02 5.35643E-03 2.24325E-03 7.59968E-03 3.65852E-03 0.041535 5 7 50.0 90.0 90.0 7.17908E-02 5.32763E-03 2.90008E-03 8.22772E-03 3.63885E-03 0.040396 4 1 60.0 0.0 180.0 6.01604E-02 5.38882E-03 5.01597E-03 1.04048E-02 3.68064E-03 0.083377 4 4 60.0 45.0 135.0 6.15219E-02 5.31490E-03 4.95318E-03 1.02681E-02 3.63015E-03 0.080511 4 7 60.0 90.0 90.0 7.59715E-02 5.36937E-03 5.78419E-03 1.11536E-02 3.66736E-03 0.076136 3 1 70.0 0.0 180.0 8.34730E-02 5.04277E-03 1.38554E-02 1.88982E-02 3.44429E-03 0.165987 3 4 70.0 45.0 135.0 8.11235E-02 5.03001E-03 1.33315E-02 1.83615E-02 3.43557E-03 0.164336 3 7 70.0 90.0 90.0 9.06942E-02 5.10652E-03 1.44974E-02 1.96039E-02 3.48783E-03 0.159849 2 1 80.0 0.0 180.0 1.41822E-01 4.35192E-03 3.44405E-02 3.87924E-02 2.97243E-03 0.242843 2 4 80.0 45.0 135.0 1.31324E-01 4.33307E-03 3.33111E-02 3.76442E-02 2.95955E-03 0.253655 2 7 80.0 90.0 90.0 1.30472E-01 4.41985E-03 3.48858E-02 3.93056E-02 3.01882E-03 0.267382 1 1 87.5 0.0 180.0 2.29300E-01 3.52932E-03 6.07406E-02 6.42699E-02 2.41058E-03 0.264896 1 4 87.5 45.0 135.0 2.06456E-01 3.34788E-03 6.03656E-02 6.37134E-02 2.28665E-03 0.292389 1 7 87.5 90.0 90.0 1.87830E-01 3.79647E-03 6.17802E-02 6.55767E-02 2.59304E-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 1.320E-02 1.212E-01 1.468E-01 1.267E-01 1.897E-01 9.019E-03 5.071E+00 4.950E-03 3.381E-03 1 0.00 0.00 9.183E-03 2.256E-01 1.869E-02 2.218E-02 3.163E-02 6.395E-03 4.236E+00 3 3.39 5.00 4.735E-03 3.439E-01 1.230E-02 1.635E-02 2.751E-02 6.506E-03 4.614E+00 5 6.77 10.00 2.309E-03 2.332E-01 6.879E-03 9.187E-03 1.489E-02 6.546E-03 4.787E+00 Waveband 14 of 40 completed in 3.2 sec. * * * * * Output for wavelength band 15 (490.0 to 500.0 nm; nominal wavelength = 495.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 495.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 490.0 nm to 500.0 nm: Ed(diffuse) = 4.478E-01 Ed(direct) = 1.039E+00 Ed(total) = 1.487E+00 Absorption Coefficients of Individual Components at 495.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0173 0.0732 0.0095 0.1001 3 3.309 5.000 0.0173 0.0732 0.0095 0.1001 5 6.617 10.000 0.0173 0.0732 0.0095 0.1001 Scattering Coefficients of Individual Components at 495.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0030 0.5587 0.0000 0.5617 3 3.309 5.000 0.0030 0.5587 0.0000 0.5617 5 6.617 10.000 0.0030 0.5587 0.0000 0.5617 Backscattering Coefficients of Individual Components at 495.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00151 0.00559 0.00000 0.00710 3 3.309 5.000 0.00151 0.00559 0.00000 0.00710 5 6.617 10.000 0.00151 0.00559 0.00000 0.00710 Summary of Inherent Optical Properties at 495.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1001 0.5617 0.6617 0.8488 0.00710 0.01263 3 3.309 5.000 0.1001 0.5617 0.6617 0.8488 0.00710 0.01263 5 6.617 10.000 0.1001 0.5617 0.6617 0.8488 0.00710 0.01263 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3545E-01 8 20.00 7.8202E-01 7 30.00 5.8871E-01 6 40.00 4.0653E-01 5 50.00 2.6335E-01 4 60.00 1.6416E-01 3 70.00 1.0114E-01 2 80.00 6.3411E-02 1 87.50 4.5314E-02 1 92.50 3.5818E-02 2 100.00 2.6831E-02 3 110.00 1.9345E-02 4 120.00 1.4736E-02 5 130.00 1.1915E-02 6 140.00 1.0179E-02 7 150.00 9.1140E-03 8 160.00 8.4822E-03 9 170.00 8.1483E-03 10 180.00 8.0317E-03 Asymptotic AOP values are MUu(inf) = 0.3695 MUd(inf) = 0.7373 MU(inf) = 0.6694 R(inf) = 0.0327 Lu(inf)/Ed(inf) = 0.006495 (1/sr) k(inf) = 0.1495 (1/m) absorp(check) = 0.1001 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 495.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.8274E-01 2.1044E+00 2.2871E+00 6.7735E-02 1.4866E+00 0.3707 0.7064 0.6204 4.5564E-02 1 0.00 0.00 9.5193E-02 1.6772E+00 1.7724E+00 3.9700E-02 1.4586E+00 0.4170 0.8696 0.8005 2.7219E-02 3 3.31 5.00 5.8650E-02 9.4885E-01 1.0075E+00 2.2874E-02 7.5863E-01 0.3900 0.7995 0.7303 3.0151E-02 5 6.62 10.00 3.1285E-02 4.9067E-01 5.2196E-01 1.1902E-02 3.7787E-01 0.3804 0.7701 0.7011 3.1499E-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 0.06804 0.09764 0.09605 0.09006 0.12350 0.12444 0.11794 5.000 5.010 5.005 0.11662 0.12570 0.12517 0.12379 0.13611 0.13649 0.13421 10.000 10.010 10.005 0.13267 0.13678 0.13653 0.13607 0.14206 0.14226 0.14136 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 495.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.20839E-01 5.03344E-03 8.36643E-03 1.33999E-02 3.38584E-03 0.069236 9 1 10.0 0.0 180.0 7.45626E-02 5.13589E-03 2.59601E-03 7.73190E-03 3.45475E-03 0.034817 9 4 10.0 45.0 135.0 8.19242E-02 5.10693E-03 3.00032E-03 8.10725E-03 3.43527E-03 0.036623 9 7 10.0 90.0 90.0 1.10686E-01 5.08166E-03 6.10292E-03 1.11846E-02 3.41828E-03 0.055137 8 1 20.0 0.0 180.0 5.85679E-02 5.20784E-03 1.42594E-03 6.63378E-03 3.50315E-03 0.024347 8 4 20.0 45.0 135.0 6.52019E-02 5.14354E-03 1.67414E-03 6.81769E-03 3.45990E-03 0.025676 8 7 20.0 90.0 90.0 9.58762E-02 5.11621E-03 3.66329E-03 8.77950E-03 3.44152E-03 0.038209 7 1 30.0 0.0 180.0 5.07815E-02 5.30935E-03 1.22243E-03 6.53178E-03 3.57144E-03 0.024072 7 4 30.0 45.0 135.0 5.62976E-02 5.28466E-03 1.37266E-03 6.65732E-03 3.55482E-03 0.024382 7 7 30.0 90.0 90.0 8.21193E-02 5.22800E-03 2.34396E-03 7.57196E-03 3.51671E-03 0.028543 6 1 40.0 0.0 180.0 4.82013E-02 5.39927E-03 1.35919E-03 6.75846E-03 3.63192E-03 0.028198 6 4 40.0 45.0 135.0 5.27055E-02 5.36366E-03 1.47413E-03 6.83779E-03 3.60797E-03 0.027969 6 7 40.0 90.0 90.0 7.39977E-02 5.31943E-03 2.13408E-03 7.45351E-03 3.57821E-03 0.028840 5 1 50.0 0.0 180.0 5.05375E-02 5.51414E-03 2.14706E-03 7.66120E-03 3.70919E-03 0.042485 5 4 50.0 45.0 135.0 5.38545E-02 5.44863E-03 2.23684E-03 7.68548E-03 3.66513E-03 0.041535 5 7 50.0 90.0 90.0 7.15860E-02 5.42848E-03 2.89181E-03 8.32029E-03 3.65157E-03 0.040396 4 1 60.0 0.0 180.0 5.99887E-02 5.47964E-03 5.00165E-03 1.04813E-02 3.68598E-03 0.083377 4 4 60.0 45.0 135.0 6.13464E-02 5.40834E-03 4.93904E-03 1.03474E-02 3.63802E-03 0.080511 4 7 60.0 90.0 90.0 7.57547E-02 5.47444E-03 5.76768E-03 1.12421E-02 3.68249E-03 0.076136 3 1 70.0 0.0 180.0 8.32348E-02 5.12937E-03 1.38159E-02 1.89453E-02 3.45037E-03 0.165987 3 4 70.0 45.0 135.0 8.08921E-02 5.12050E-03 1.32935E-02 1.84140E-02 3.44440E-03 0.164336 3 7 70.0 90.0 90.0 9.04354E-02 5.20984E-03 1.44560E-02 1.96659E-02 3.50450E-03 0.159849 2 1 80.0 0.0 180.0 1.41417E-01 4.42789E-03 3.43422E-02 3.87701E-02 2.97850E-03 0.242843 2 4 80.0 45.0 135.0 1.30950E-01 4.41261E-03 3.32161E-02 3.76287E-02 2.96822E-03 0.253655 2 7 80.0 90.0 90.0 1.30099E-01 4.51174E-03 3.47862E-02 3.92980E-02 3.03491E-03 0.267382 1 1 87.5 0.0 180.0 2.28646E-01 3.59182E-03 6.05673E-02 6.41591E-02 2.41610E-03 0.264896 1 4 87.5 45.0 135.0 2.05867E-01 3.41038E-03 6.01933E-02 6.36037E-02 2.29406E-03 0.292389 1 7 87.5 90.0 90.0 1.87294E-01 3.87719E-03 6.16039E-02 6.54811E-02 2.60806E-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 1.340E-02 1.208E-01 1.464E-01 1.264E-01 1.893E-01 9.014E-03 5.055E+00 5.033E-03 3.386E-03 1 0.00 0.00 9.337E-03 2.250E-01 1.902E-02 2.266E-02 3.242E-02 6.401E-03 4.252E+00 3 3.31 5.00 4.940E-03 3.532E-01 1.281E-02 1.709E-02 2.887E-02 6.511E-03 4.631E+00 5 6.62 10.00 2.476E-03 2.471E-01 7.372E-03 9.888E-03 1.613E-02 6.552E-03 4.808E+00 Waveband 15 of 40 completed in 3.1 sec. * * * * * Output for wavelength band 16 (500.0 to 510.0 nm; nominal wavelength = 505.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 505.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 500.0 nm to 510.0 nm: Ed(diffuse) = 4.326E-01 Ed(direct) = 1.028E+00 Ed(total) = 1.460E+00 Absorption Coefficients of Individual Components at 505.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0256 0.0660 0.0083 0.0999 3 3.251 5.000 0.0256 0.0660 0.0083 0.0999 5 6.503 10.000 0.0256 0.0660 0.0083 0.0999 Scattering Coefficients of Individual Components at 505.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0028 0.5476 0.0000 0.5504 3 3.251 5.000 0.0028 0.5476 0.0000 0.5504 5 6.503 10.000 0.0028 0.5476 0.0000 0.5504 Backscattering Coefficients of Individual Components at 505.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00138 0.00548 0.00000 0.00686 3 3.251 5.000 0.00138 0.00548 0.00000 0.00686 5 6.503 10.000 0.00138 0.00548 0.00000 0.00686 Summary of Inherent Optical Properties at 505.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0999 0.5504 0.6503 0.8464 0.00686 0.01246 3 3.251 5.000 0.0999 0.5504 0.6503 0.8464 0.00686 0.01246 5 6.503 10.000 0.0999 0.5504 0.6503 0.8464 0.00686 0.01246 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3475E-01 8 20.00 7.7989E-01 7 30.00 5.8530E-01 6 40.00 4.0261E-01 5 50.00 2.5968E-01 4 60.00 1.6115E-01 3 70.00 9.8859E-02 2 80.00 6.1737E-02 1 87.50 4.3999E-02 1 92.50 3.4720E-02 2 100.00 2.5952E-02 3 110.00 1.8664E-02 4 120.00 1.4189E-02 5 130.00 1.1455E-02 6 140.00 9.7746E-03 7 150.00 8.7457E-03 8 160.00 8.1359E-03 9 170.00 7.8138E-03 10 180.00 7.7014E-03 Asymptotic AOP values are MUu(inf) = 0.3686 MUd(inf) = 0.7390 MU(inf) = 0.6728 R(inf) = 0.0317 Lu(inf)/Ed(inf) = 0.006274 (1/sr) k(inf) = 0.1485 (1/m) absorp(check) = 0.0999 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 505.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.7675E-01 2.0611E+00 2.2379E+00 6.5730E-02 1.4605E+00 0.3719 0.7086 0.6232 4.5006E-02 1 0.00 0.00 9.0839E-02 1.6452E+00 1.7360E+00 3.7806E-02 1.4325E+00 0.4162 0.8708 0.8034 2.6391E-02 3 3.25 5.00 5.6139E-02 9.3321E-01 9.8934E-01 2.1854E-02 7.4806E-01 0.3893 0.8016 0.7340 2.9214E-02 5 6.50 10.00 3.0092E-02 4.8478E-01 5.1488E-01 1.1426E-02 3.7440E-01 0.3797 0.7723 0.7050 3.0518E-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 0.06737 0.09731 0.09574 0.08965 0.12287 0.12377 0.11740 5.000 5.010 5.005 0.11575 0.12490 0.12438 0.12293 0.13520 0.13557 0.13335 10.000 10.010 10.005 0.13162 0.13578 0.13554 0.13505 0.14106 0.14125 0.14038 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 505.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.16731E-01 4.77849E-03 8.20628E-03 1.29848E-02 3.27187E-03 0.070301 9 1 10.0 0.0 180.0 7.20279E-02 4.87516E-03 2.52445E-03 7.39960E-03 3.33805E-03 0.035048 9 4 10.0 45.0 135.0 7.91393E-02 4.84785E-03 2.91979E-03 7.76765E-03 3.31936E-03 0.036894 9 7 10.0 90.0 90.0 1.06924E-01 4.82442E-03 5.97233E-03 1.07968E-02 3.30332E-03 0.055856 8 1 20.0 0.0 180.0 5.65770E-02 4.94332E-03 1.37831E-03 6.32163E-03 3.38473E-03 0.024362 8 4 20.0 45.0 135.0 6.29854E-02 4.88259E-03 1.61942E-03 6.50201E-03 3.34314E-03 0.025711 8 7 20.0 90.0 90.0 9.26170E-02 4.85762E-03 3.56800E-03 8.42562E-03 3.32604E-03 0.038524 7 1 30.0 0.0 180.0 4.90553E-02 5.03968E-03 1.18088E-03 6.22056E-03 3.45071E-03 0.024072 7 4 30.0 45.0 135.0 5.43844E-02 5.01665E-03 1.32610E-03 6.34276E-03 3.43494E-03 0.024384 7 7 30.0 90.0 90.0 7.93238E-02 4.96434E-03 2.27003E-03 7.23437E-03 3.39912E-03 0.028617 6 1 40.0 0.0 180.0 4.65627E-02 5.12525E-03 1.31299E-03 6.43824E-03 3.50929E-03 0.028198 6 4 40.0 45.0 135.0 5.09138E-02 5.09205E-03 1.42402E-03 6.51607E-03 3.48656E-03 0.027969 6 7 40.0 90.0 90.0 7.14822E-02 5.05234E-03 2.06191E-03 7.11425E-03 3.45937E-03 0.028845 5 1 50.0 0.0 180.0 4.88195E-02 5.23471E-03 2.07407E-03 7.30878E-03 3.58424E-03 0.042485 5 4 50.0 45.0 135.0 5.20237E-02 5.17335E-03 2.16080E-03 7.33415E-03 3.54223E-03 0.041535 5 7 50.0 90.0 90.0 6.91524E-02 5.15743E-03 2.79351E-03 7.95094E-03 3.53133E-03 0.040396 4 1 60.0 0.0 180.0 5.79495E-02 5.20248E-03 4.83163E-03 1.00341E-02 3.56218E-03 0.083377 4 4 60.0 45.0 135.0 5.92610E-02 5.13586E-03 4.77115E-03 9.90700E-03 3.51656E-03 0.080511 4 7 60.0 90.0 90.0 7.31795E-02 5.20282E-03 5.57162E-03 1.07744E-02 3.56240E-03 0.076136 3 1 70.0 0.0 180.0 8.04053E-02 4.87073E-03 1.33462E-02 1.82170E-02 3.33503E-03 0.165987 3 4 70.0 45.0 135.0 7.81422E-02 4.86363E-03 1.28416E-02 1.77052E-02 3.33016E-03 0.164336 3 7 70.0 90.0 90.0 8.73611E-02 4.95360E-03 1.39646E-02 1.89182E-02 3.39177E-03 0.159849 2 1 80.0 0.0 180.0 1.36610E-01 4.20539E-03 3.31748E-02 3.73802E-02 2.87946E-03 0.242843 2 4 80.0 45.0 135.0 1.26498E-01 4.19228E-03 3.20869E-02 3.62792E-02 2.87048E-03 0.253655 2 7 80.0 90.0 90.0 1.25677E-01 4.29176E-03 3.36037E-02 3.78955E-02 2.93859E-03 0.267382 1 1 87.5 0.0 180.0 2.20873E-01 3.41209E-03 5.85083E-02 6.19204E-02 2.33628E-03 0.264896 1 4 87.5 45.0 135.0 1.98869E-01 3.24103E-03 5.81471E-02 6.13881E-02 2.21916E-03 0.292389 1 7 87.5 90.0 90.0 1.80927E-01 3.69001E-03 5.95098E-02 6.31998E-02 2.52657E-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 1.298E-02 1.167E-01 1.414E-01 1.221E-01 1.828E-01 8.891E-03 5.062E+00 4.778E-03 3.272E-03 1 0.00 0.00 8.864E-03 2.173E-01 1.812E-02 2.166E-02 3.116E-02 6.187E-03 4.265E+00 3 3.25 5.00 4.706E-03 3.441E-01 1.225E-02 1.640E-02 2.787E-02 6.292E-03 4.643E+00 5 6.50 10.00 2.370E-03 2.433E-01 7.077E-03 9.535E-03 1.566E-02 6.330E-03 4.821E+00 Waveband 16 of 40 completed in 3.0 sec. * * * * * Output for wavelength band 17 (510.0 to 520.0 nm; nominal wavelength = 515.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 515.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 510.0 nm to 520.0 nm: Ed(diffuse) = 4.102E-01 Ed(direct) = 9.960E-01 Ed(total) = 1.406E+00 Absorption Coefficients of Individual Components at 515.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0396 0.0598 0.0072 0.1066 3 3.231 5.000 0.0396 0.0598 0.0072 0.1066 5 6.461 10.000 0.0396 0.0598 0.0072 0.1066 Scattering Coefficients of Individual Components at 515.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0025 0.5370 0.0000 0.5395 3 3.231 5.000 0.0025 0.5370 0.0000 0.5395 5 6.461 10.000 0.0025 0.5370 0.0000 0.5395 Backscattering Coefficients of Individual Components at 515.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00127 0.00537 0.00000 0.00664 3 3.231 5.000 0.00127 0.00537 0.00000 0.00664 5 6.461 10.000 0.00127 0.00537 0.00000 0.00664 Summary of Inherent Optical Properties at 515.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1066 0.5395 0.6461 0.8350 0.00664 0.01231 3 3.231 5.000 0.1066 0.5395 0.6461 0.8350 0.00664 0.01231 5 6.461 10.000 0.1066 0.5395 0.6461 0.8350 0.00664 0.01231 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3146E-01 8 20.00 7.6990E-01 7 30.00 5.6960E-01 6 40.00 3.8494E-01 5 50.00 2.4354E-01 4 60.00 1.4828E-01 3 70.00 8.9395E-02 2 80.00 5.5017E-02 1 87.50 3.8866E-02 1 92.50 3.0525E-02 2 100.00 2.2695E-02 3 110.00 1.6240E-02 4 120.00 1.2313E-02 5 130.00 9.9327E-03 6 140.00 8.4786E-03 7 150.00 7.5931E-03 8 160.00 7.0706E-03 9 170.00 6.7957E-03 10 180.00 6.6998E-03 Asymptotic AOP values are MUu(inf) = 0.3675 MUd(inf) = 0.7466 MU(inf) = 0.6855 R(inf) = 0.0285 Lu(inf)/Ed(inf) = 0.005644 (1/sr) k(inf) = 0.1555 (1/m) absorp(check) = 0.1066 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 515.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.6583E-01 1.9792E+00 2.1451E+00 6.1569E-02 1.4062E+00 0.3713 0.7105 0.6269 4.3782E-02 1 0.00 0.00 7.9535E-02 1.5773E+00 1.6568E+00 3.2957E-02 1.3776E+00 0.4144 0.8734 0.8116 2.3923E-02 3 3.23 5.00 4.7367E-02 8.6080E-01 9.0816E-01 1.8362E-02 6.9390E-01 0.3877 0.8061 0.7439 2.6462E-02 5 6.46 10.00 2.4446E-02 4.3057E-01 4.5502E-01 9.2498E-03 3.3496E-01 0.3784 0.7780 0.7158 2.7614E-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 0.07229 0.10420 0.10267 0.09616 0.12995 0.13078 0.12437 5.000 5.010 5.005 0.12343 0.13257 0.13210 0.13043 0.14244 0.14277 0.14060 10.000 10.010 10.005 0.13912 0.14325 0.14303 0.14244 0.14828 0.14844 0.14762 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 515.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.10700E-01 4.15795E-03 7.89040E-03 1.20483E-02 2.95676E-03 0.071277 9 1 10.0 0.0 180.0 6.83067E-02 4.24429E-03 2.40853E-03 6.65282E-03 3.01816E-03 0.035261 9 4 10.0 45.0 135.0 7.50506E-02 4.21963E-03 2.78762E-03 7.00725E-03 3.00063E-03 0.037143 9 7 10.0 90.0 90.0 1.01400E-01 4.19719E-03 5.73065E-03 9.92785E-03 2.98467E-03 0.056516 8 1 20.0 0.0 180.0 5.36540E-02 4.30415E-03 1.30784E-03 5.61199E-03 3.06073E-03 0.024375 8 4 20.0 45.0 135.0 5.97313E-02 4.24979E-03 1.53765E-03 5.78744E-03 3.02207E-03 0.025743 8 7 20.0 90.0 90.0 8.78321E-02 4.22475E-03 3.40910E-03 7.63384E-03 3.00427E-03 0.038814 7 1 30.0 0.0 180.0 4.65209E-02 4.38806E-03 1.11987E-03 5.50792E-03 3.12040E-03 0.024072 7 4 30.0 45.0 135.0 5.15753E-02 4.36592E-03 1.25768E-03 5.62361E-03 3.10466E-03 0.024385 7 7 30.0 90.0 90.0 7.52222E-02 4.31594E-03 2.15775E-03 6.47369E-03 3.06911E-03 0.028685 6 1 40.0 0.0 180.0 4.41571E-02 4.46171E-03 1.24515E-03 5.70686E-03 3.17277E-03 0.028198 6 4 40.0 45.0 135.0 4.82834E-02 4.43011E-03 1.35045E-03 5.78055E-03 3.15030E-03 0.027969 6 7 40.0 90.0 90.0 6.77892E-02 4.39007E-03 1.95571E-03 6.34578E-03 3.12183E-03 0.028850 5 1 50.0 0.0 180.0 4.62973E-02 4.55597E-03 1.96692E-03 6.52289E-03 3.23980E-03 0.042485 5 4 50.0 45.0 135.0 4.93360E-02 4.49953E-03 2.04917E-03 6.54870E-03 3.19967E-03 0.041535 5 7 50.0 90.0 90.0 6.55798E-02 4.47993E-03 2.64918E-03 7.12911E-03 3.18573E-03 0.040396 4 1 60.0 0.0 180.0 5.49556E-02 4.52697E-03 4.58201E-03 9.10897E-03 3.21918E-03 0.083377 4 4 60.0 45.0 135.0 5.61993E-02 4.46581E-03 4.52465E-03 8.99046E-03 3.17569E-03 0.080511 4 7 60.0 90.0 90.0 6.93988E-02 4.51840E-03 5.28376E-03 9.80217E-03 3.21309E-03 0.076136 3 1 70.0 0.0 180.0 7.62513E-02 4.23776E-03 1.26567E-02 1.68945E-02 3.01352E-03 0.165987 3 4 70.0 45.0 135.0 7.41051E-02 4.22865E-03 1.21781E-02 1.64068E-02 3.00704E-03 0.164336 3 7 70.0 90.0 90.0 8.28477E-02 4.30238E-03 1.32431E-02 1.75455E-02 3.05947E-03 0.159849 2 1 80.0 0.0 180.0 1.29552E-01 3.65880E-03 3.14609E-02 3.51197E-02 2.60182E-03 0.242843 2 4 80.0 45.0 135.0 1.19963E-01 3.64503E-03 3.04292E-02 3.40742E-02 2.59202E-03 0.253655 2 7 80.0 90.0 90.0 1.19184E-01 3.72854E-03 3.18676E-02 3.55962E-02 2.65141E-03 0.267382 1 1 87.5 0.0 180.0 2.09462E-01 2.96908E-03 5.54856E-02 5.84547E-02 2.11135E-03 0.264896 1 4 87.5 45.0 135.0 1.88595E-01 2.81862E-03 5.51430E-02 5.79616E-02 2.00435E-03 0.292389 1 7 87.5 90.0 90.0 1.71580E-01 3.20764E-03 5.64353E-02 5.96429E-02 2.28099E-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 1.205E-02 1.107E-01 1.340E-01 1.156E-01 1.732E-01 8.568E-03 5.110E+00 4.158E-03 2.957E-03 1 0.00 0.00 7.713E-03 2.061E-01 1.590E-02 1.908E-02 2.768E-02 5.599E-03 4.273E+00 3 3.23 5.00 3.951E-03 3.171E-01 1.041E-02 1.401E-02 2.401E-02 5.694E-03 4.647E+00 5 6.46 10.00 1.919E-03 2.184E-01 5.781E-03 7.826E-03 1.296E-02 5.728E-03 4.821E+00 Waveband 17 of 40 completed in 3.1 sec. * * * * * Output for wavelength band 18 (520.0 to 530.0 nm; nominal wavelength = 525.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 525.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 520.0 nm to 530.0 nm: Ed(diffuse) = 4.132E-01 Ed(direct) = 1.024E+00 Ed(total) = 1.437E+00 Absorption Coefficients of Individual Components at 525.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0417 0.0516 0.0063 0.0995 3 3.143 5.000 0.0417 0.0516 0.0063 0.0995 5 6.286 10.000 0.0417 0.0516 0.0063 0.0995 Scattering Coefficients of Individual Components at 525.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0023 0.5267 0.0000 0.5291 3 3.143 5.000 0.0023 0.5267 0.0000 0.5291 5 6.286 10.000 0.0023 0.5267 0.0000 0.5291 Backscattering Coefficients of Individual Components at 525.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00117 0.00527 0.00000 0.00644 3 3.143 5.000 0.00117 0.00527 0.00000 0.00644 5 6.286 10.000 0.00117 0.00527 0.00000 0.00644 Summary of Inherent Optical Properties at 525.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0995 0.5291 0.6286 0.8417 0.00644 0.01217 3 3.143 5.000 0.0995 0.5291 0.6286 0.8417 0.00644 0.01217 5 6.286 10.000 0.0995 0.5291 0.6286 0.8417 0.00644 0.01217 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3339E-01 8 20.00 7.7574E-01 7 30.00 5.7872E-01 6 40.00 3.9511E-01 5 50.00 2.5272E-01 4 60.00 1.5550E-01 3 70.00 9.4607E-02 2 80.00 5.8641E-02 1 87.50 4.1583E-02 1 92.50 3.2710E-02 2 100.00 2.4353E-02 3 110.00 1.7435E-02 4 120.00 1.3205E-02 5 130.00 1.0631E-02 6 140.00 9.0539E-03 7 150.00 8.0904E-03 8 160.00 7.5204E-03 9 170.00 7.2199E-03 10 180.00 7.1152E-03 Asymptotic AOP values are MUu(inf) = 0.3669 MUd(inf) = 0.7424 MU(inf) = 0.6790 R(inf) = 0.0300 Lu(inf)/Ed(inf) = 0.005880 (1/sr) k(inf) = 0.1466 (1/m) absorp(check) = 0.0995 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 525.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.6922E-01 2.0178E+00 2.1871E+00 6.3299E-02 1.4373E+00 0.3741 0.7123 0.6283 4.4039E-02 1 0.00 0.00 8.4770E-02 1.6146E+00 1.6994E+00 3.5152E-02 1.4092E+00 0.4147 0.8728 0.8086 2.4945E-02 3 3.14 5.00 5.2690E-02 9.2059E-01 9.7328E-01 2.0448E-02 7.4149E-01 0.3881 0.8054 0.7408 2.7577E-02 5 6.29 10.00 2.8506E-02 4.8241E-01 5.1092E-01 1.0789E-02 3.7456E-01 0.3785 0.7764 0.7120 2.8806E-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 0.06626 0.09671 0.09519 0.08889 0.12167 0.12251 0.11631 5.000 5.010 5.005 0.11412 0.12337 0.12287 0.12128 0.13346 0.13380 0.13166 10.000 10.010 10.005 0.12963 0.13389 0.13366 0.13309 0.13914 0.13932 0.13849 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 525.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.11508E-01 4.42012E-03 8.05409E-03 1.24742E-02 3.07519E-03 0.072229 9 1 10.0 0.0 180.0 6.88052E-02 4.50843E-03 2.44035E-03 6.94878E-03 3.13663E-03 0.035468 9 4 10.0 45.0 135.0 7.55983E-02 4.48351E-03 2.82629E-03 7.30979E-03 3.11929E-03 0.037386 9 7 10.0 90.0 90.0 1.02140E-01 4.46280E-03 5.83812E-03 1.03009E-02 3.10488E-03 0.057158 8 1 20.0 0.0 180.0 5.40455E-02 4.57108E-03 1.31810E-03 5.88918E-03 3.18022E-03 0.024389 8 4 20.0 45.0 135.0 6.01672E-02 4.51544E-03 1.55074E-03 6.06618E-03 3.14151E-03 0.025774 8 7 20.0 90.0 90.0 8.84730E-02 4.49402E-03 3.45894E-03 7.95296E-03 3.12660E-03 0.039096 7 1 30.0 0.0 180.0 4.68604E-02 4.65998E-03 1.12804E-03 5.78802E-03 3.24207E-03 0.024072 7 4 30.0 45.0 135.0 5.19522E-02 4.63942E-03 1.26695E-03 5.90637E-03 3.22776E-03 0.024387 7 7 30.0 90.0 90.0 7.57678E-02 4.59353E-03 2.17841E-03 6.77194E-03 3.19584E-03 0.028751 6 1 40.0 0.0 180.0 4.44793E-02 4.73915E-03 1.25424E-03 5.99338E-03 3.29715E-03 0.028198 6 4 40.0 45.0 135.0 4.86358E-02 4.70949E-03 1.36030E-03 6.06980E-03 3.27652E-03 0.027969 6 7 40.0 90.0 90.0 6.82839E-02 4.67660E-03 1.97030E-03 6.64690E-03 3.25363E-03 0.028855 5 1 50.0 0.0 180.0 4.66351E-02 4.84078E-03 1.98127E-03 6.82205E-03 3.36786E-03 0.042485 5 4 50.0 45.0 135.0 4.96960E-02 4.78546E-03 2.06412E-03 6.84958E-03 3.32937E-03 0.041535 5 7 50.0 90.0 90.0 6.60583E-02 4.77608E-03 2.66852E-03 7.44460E-03 3.32284E-03 0.040396 4 1 60.0 0.0 180.0 5.53566E-02 4.81160E-03 4.61544E-03 9.42705E-03 3.34756E-03 0.083377 4 4 60.0 45.0 135.0 5.66094E-02 4.75179E-03 4.55767E-03 9.30946E-03 3.30595E-03 0.080511 4 7 60.0 90.0 90.0 6.99052E-02 4.82065E-03 5.32232E-03 1.01430E-02 3.35385E-03 0.076136 3 1 70.0 0.0 180.0 7.68077E-02 4.50588E-03 1.27491E-02 1.72550E-02 3.13486E-03 0.165987 3 4 70.0 45.0 135.0 7.46458E-02 4.50153E-03 1.22670E-02 1.67685E-02 3.13183E-03 0.164336 3 7 70.0 90.0 90.0 8.34523E-02 4.59318E-03 1.33398E-02 1.79329E-02 3.19559E-03 0.159849 2 1 80.0 0.0 180.0 1.30497E-01 3.89147E-03 3.16904E-02 3.55819E-02 2.70739E-03 0.242843 2 4 80.0 45.0 135.0 1.20838E-01 3.88169E-03 3.06512E-02 3.45329E-02 2.70059E-03 0.253655 2 7 80.0 90.0 90.0 1.20054E-01 3.98245E-03 3.21002E-02 3.60826E-02 2.77069E-03 0.267382 1 1 87.5 0.0 180.0 2.10990E-01 3.15855E-03 5.58905E-02 5.90490E-02 2.19748E-03 0.264896 1 4 87.5 45.0 135.0 1.89971E-01 3.00236E-03 5.55454E-02 5.85478E-02 2.08882E-03 0.292389 1 7 87.5 90.0 90.0 1.72832E-01 3.42701E-03 5.68471E-02 6.02741E-02 2.38426E-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 1.247E-02 1.115E-01 1.350E-01 1.166E-01 1.746E-01 8.679E-03 5.074E+00 4.420E-03 3.075E-03 1 0.00 0.00 8.199E-03 2.076E-01 1.686E-02 2.029E-02 2.944E-02 5.818E-03 4.287E+00 3 3.14 5.00 4.385E-03 3.332E-01 1.147E-02 1.547E-02 2.653E-02 5.914E-03 4.663E+00 5 6.29 10.00 2.228E-03 2.404E-01 6.681E-03 9.070E-03 1.508E-02 5.949E-03 4.842E+00 Waveband 18 of 40 completed in 2.9 sec. * * * * * Output for wavelength band 19 (530.0 to 540.0 nm; nominal wavelength = 535.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 535.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 530.0 nm to 540.0 nm: Ed(diffuse) = 4.123E-01 Ed(direct) = 1.041E+00 Ed(total) = 1.453E+00 Absorption Coefficients of Individual Components at 535.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0452 0.0454 0.0055 0.0960 3 3.075 5.000 0.0452 0.0454 0.0055 0.0960 5 6.151 10.000 0.0452 0.0454 0.0055 0.0960 Scattering Coefficients of Individual Components at 535.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0022 0.5169 0.0000 0.5191 3 3.075 5.000 0.0022 0.5169 0.0000 0.5191 5 6.151 10.000 0.0022 0.5169 0.0000 0.5191 Backscattering Coefficients of Individual Components at 535.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00108 0.00517 0.00000 0.00625 3 3.075 5.000 0.00108 0.00517 0.00000 0.00625 5 6.151 10.000 0.00108 0.00517 0.00000 0.00625 Summary of Inherent Optical Properties at 535.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0960 0.5191 0.6151 0.8439 0.00625 0.01204 3 3.075 5.000 0.0960 0.5191 0.6151 0.8439 0.00625 0.01204 5 6.151 10.000 0.0960 0.5191 0.6151 0.8439 0.00625 0.01204 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3403E-01 8 20.00 7.7769E-01 7 30.00 5.8177E-01 6 40.00 3.9853E-01 5 50.00 2.5581E-01 4 60.00 1.5792E-01 3 70.00 9.6348E-02 2 80.00 5.9837E-02 1 87.50 4.2467E-02 1 92.50 3.3410E-02 2 100.00 2.4872E-02 3 110.00 1.7794E-02 4 120.00 1.3461E-02 5 130.00 1.0821E-02 6 140.00 9.2008E-03 7 150.00 8.2106E-03 8 160.00 7.6243E-03 9 170.00 7.3149E-03 10 180.00 7.2071E-03 Asymptotic AOP values are MUu(inf) = 0.3664 MUd(inf) = 0.7411 MU(inf) = 0.6771 R(inf) = 0.0303 Lu(inf)/Ed(inf) = 0.005918 (1/sr) k(inf) = 0.1418 (1/m) absorp(check) = 0.0960 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 535.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.6997E-01 2.0355E+00 2.2054E+00 6.3889E-02 1.4533E+00 0.3759 0.7140 0.6300 4.3962E-02 1 0.00 0.00 8.6435E-02 1.6328E+00 1.7192E+00 3.5826E-02 1.4252E+00 0.4145 0.8729 0.8082 2.5137E-02 3 3.08 5.00 5.4921E-02 9.5180E-01 1.0067E+00 2.1312E-02 7.6715E-01 0.3880 0.8060 0.7409 2.7780E-02 5 6.15 10.00 3.0466E-02 5.1108E-01 5.4155E-01 1.1526E-02 3.9693E-01 0.3783 0.7766 0.7117 2.9039E-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 0.06308 0.09300 0.09150 0.08517 0.11742 0.11825 0.11210 5.000 5.010 5.005 0.10923 0.11860 0.11809 0.11644 0.12873 0.12909 0.12690 10.000 10.010 10.005 0.12457 0.12895 0.12870 0.12809 0.13429 0.13447 0.13360 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 535.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.11243E-01 4.49191E-03 8.13347E-03 1.26254E-02 3.09088E-03 0.073114 9 1 10.0 0.0 180.0 6.86415E-02 4.57966E-03 2.44778E-03 7.02743E-03 3.15126E-03 0.035660 9 4 10.0 45.0 135.0 7.54184E-02 4.55505E-03 2.83658E-03 7.39164E-03 3.13433E-03 0.037611 9 7 10.0 90.0 90.0 1.01897E-01 4.53581E-03 5.88520E-03 1.04210E-02 3.12109E-03 0.057757 8 1 20.0 0.0 180.0 5.39169E-02 4.64275E-03 1.31563E-03 5.95839E-03 3.19468E-03 0.024401 8 4 20.0 45.0 135.0 6.00240E-02 4.58742E-03 1.54878E-03 6.13620E-03 3.15660E-03 0.025803 8 7 20.0 90.0 90.0 8.82625E-02 4.56864E-03 3.47390E-03 8.04254E-03 3.14368E-03 0.039359 7 1 30.0 0.0 180.0 4.67489E-02 4.73292E-03 1.12535E-03 5.85827E-03 3.25672E-03 0.024072 7 4 30.0 45.0 135.0 5.18291E-02 4.71368E-03 1.26402E-03 5.97770E-03 3.24348E-03 0.024388 7 7 30.0 90.0 90.0 7.55844E-02 4.67127E-03 2.17779E-03 6.84906E-03 3.21430E-03 0.028813 6 1 40.0 0.0 180.0 4.43735E-02 4.81383E-03 1.25125E-03 6.06509E-03 3.31240E-03 0.028198 6 4 40.0 45.0 135.0 4.85201E-02 4.78592E-03 1.35706E-03 6.14298E-03 3.29319E-03 0.027969 6 7 40.0 90.0 90.0 6.81214E-02 4.75826E-03 1.96591E-03 6.72417E-03 3.27415E-03 0.028859 5 1 50.0 0.0 180.0 4.65242E-02 4.91794E-03 1.97656E-03 6.89449E-03 3.38403E-03 0.042485 5 4 50.0 45.0 135.0 4.95778E-02 4.86440E-03 2.05921E-03 6.92361E-03 3.34719E-03 0.041535 5 7 50.0 90.0 90.0 6.59011E-02 4.86191E-03 2.66217E-03 7.52408E-03 3.34548E-03 0.040396 4 1 60.0 0.0 180.0 5.52249E-02 4.88925E-03 4.60446E-03 9.49372E-03 3.36429E-03 0.083377 4 4 60.0 45.0 135.0 5.64747E-02 4.83151E-03 4.54682E-03 9.37833E-03 3.32456E-03 0.080511 4 7 60.0 90.0 90.0 6.97389E-02 4.90969E-03 5.30966E-03 1.02193E-02 3.37835E-03 0.076136 3 1 70.0 0.0 180.0 7.66250E-02 4.57967E-03 1.27188E-02 1.72984E-02 3.15127E-03 0.165987 3 4 70.0 45.0 135.0 7.44683E-02 4.57845E-03 1.22378E-02 1.68163E-02 3.15043E-03 0.164336 3 7 70.0 90.0 90.0 8.32537E-02 4.68034E-03 1.33080E-02 1.79884E-02 3.22054E-03 0.159849 2 1 80.0 0.0 180.0 1.30187E-01 3.95602E-03 3.16150E-02 3.55710E-02 2.72213E-03 0.242843 2 4 80.0 45.0 135.0 1.20551E-01 3.94909E-03 3.05783E-02 3.45274E-02 2.71737E-03 0.253655 2 7 80.0 90.0 90.0 1.19768E-01 4.05967E-03 3.20238E-02 3.60835E-02 2.79346E-03 0.267382 1 1 87.5 0.0 180.0 2.10488E-01 3.21152E-03 5.57575E-02 5.89690E-02 2.20984E-03 0.264896 1 4 87.5 45.0 135.0 1.89519E-01 3.05517E-03 5.54132E-02 5.84684E-02 2.10226E-03 0.292389 1 7 87.5 90.0 90.0 1.72420E-01 3.49461E-03 5.67118E-02 6.02064E-02 2.40464E-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 1.263E-02 1.112E-01 1.347E-01 1.163E-01 1.742E-01 8.688E-03 5.060E+00 4.492E-03 3.091E-03 1 0.00 0.00 8.332E-03 2.071E-01 1.714E-02 2.068E-02 3.008E-02 5.846E-03 4.300E+00 3 3.08 5.00 4.559E-03 3.400E-01 1.190E-02 1.608E-02 2.765E-02 5.943E-03 4.675E+00 5 6.15 10.00 2.373E-03 2.519E-01 7.101E-03 9.671E-03 1.615E-02 5.979E-03 4.857E+00 Waveband 19 of 40 completed in 2.8 sec. * * * * * Output for wavelength band 20 (540.0 to 550.0 nm; nominal wavelength = 545.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 545.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 540.0 nm to 550.0 nm: Ed(diffuse) = 4.017E-01 Ed(direct) = 1.032E+00 Ed(total) = 1.434E+00 Absorption Coefficients of Individual Components at 545.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0511 0.0392 0.0047 0.0950 3 3.022 5.000 0.0511 0.0392 0.0047 0.0950 5 6.044 10.000 0.0511 0.0392 0.0047 0.0950 Scattering Coefficients of Individual Components at 545.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0020 0.5074 0.0000 0.5094 3 3.022 5.000 0.0020 0.5074 0.0000 0.5094 5 6.044 10.000 0.0020 0.5074 0.0000 0.5094 Backscattering Coefficients of Individual Components at 545.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00100 0.00507 0.00000 0.00607 3 3.022 5.000 0.00100 0.00507 0.00000 0.00607 5 6.044 10.000 0.00100 0.00507 0.00000 0.00607 Summary of Inherent Optical Properties at 545.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0950 0.5094 0.6044 0.8428 0.00607 0.01192 3 3.022 5.000 0.0950 0.5094 0.6044 0.8428 0.00607 0.01192 5 6.044 10.000 0.0950 0.5094 0.6044 0.8428 0.00607 0.01192 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3372E-01 8 20.00 7.7672E-01 7 30.00 5.8024E-01 6 40.00 3.9677E-01 5 50.00 2.5417E-01 4 60.00 1.5657E-01 3 70.00 9.5323E-02 2 80.00 5.9080E-02 1 87.50 4.1869E-02 1 92.50 3.2906E-02 2 100.00 2.4464E-02 3 110.00 1.7474E-02 4 120.00 1.3199E-02 5 130.00 1.0597E-02 6 140.00 9.0019E-03 7 150.00 8.0273E-03 8 160.00 7.4505E-03 9 170.00 7.1463E-03 10 180.00 7.0404E-03 Asymptotic AOP values are MUu(inf) = 0.3657 MUd(inf) = 0.7419 MU(inf) = 0.6788 R(inf) = 0.0298 Lu(inf)/Ed(inf) = 0.005800 (1/sr) k(inf) = 0.1400 (1/m) absorp(check) = 0.0950 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 545.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.6595E-01 2.0041E+00 2.1700E+00 6.2556E-02 1.4340E+00 0.3770 0.7155 0.6320 4.3625E-02 1 0.00 0.00 8.3857E-02 1.6096E+00 1.6935E+00 3.4708E-02 1.4061E+00 0.4139 0.8736 0.8098 2.4683E-02 3 3.02 5.00 5.3680E-02 9.4494E-01 9.9862E-01 2.0808E-02 7.6300E-01 0.3876 0.8075 0.7432 2.7271E-02 5 6.04 10.00 3.0057E-02 5.1190E-01 5.4196E-01 1.1359E-02 3.9833E-01 0.3779 0.7781 0.7140 2.8515E-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 0.06193 0.09192 0.09043 0.08396 0.11598 0.11679 0.11065 5.000 5.010 5.005 0.10746 0.11694 0.11643 0.11467 0.12700 0.12735 0.12512 10.000 10.010 10.005 0.12263 0.12711 0.12686 0.12618 0.13246 0.13264 0.13173 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 545.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.08392E-01 4.34071E-03 8.01634E-03 1.23570E-02 3.02706E-03 0.073957 9 1 10.0 0.0 180.0 6.68824E-02 4.42476E-03 2.39731E-03 6.82207E-03 3.08568E-03 0.035844 9 4 10.0 45.0 135.0 7.34857E-02 4.40123E-03 2.77967E-03 7.18090E-03 3.06927E-03 0.037826 9 7 10.0 90.0 90.0 9.92853E-02 4.38331E-03 5.79088E-03 1.01742E-02 3.05677E-03 0.058326 8 1 20.0 0.0 180.0 5.25352E-02 4.48552E-03 1.28254E-03 5.76806E-03 3.12806E-03 0.024413 8 4 20.0 45.0 135.0 5.84859E-02 4.43245E-03 1.51070E-03 5.94315E-03 3.09105E-03 0.025830 8 7 20.0 90.0 90.0 8.60007E-02 4.41545E-03 3.40636E-03 7.82182E-03 3.07919E-03 0.039609 7 1 30.0 0.0 180.0 4.55509E-02 4.57258E-03 1.09651E-03 5.66910E-03 3.18877E-03 0.024072 7 4 30.0 45.0 135.0 5.05014E-02 4.55454E-03 1.23170E-03 5.78625E-03 3.17619E-03 0.024390 7 7 30.0 90.0 90.0 7.36446E-02 4.51524E-03 2.12621E-03 6.64145E-03 3.14878E-03 0.028871 6 1 40.0 0.0 180.0 4.32364E-02 4.65092E-03 1.21919E-03 5.87011E-03 3.24340E-03 0.028198 6 4 40.0 45.0 135.0 4.72767E-02 4.62472E-03 1.32229E-03 5.94701E-03 3.22513E-03 0.027969 6 7 40.0 90.0 90.0 6.63757E-02 4.60045E-03 1.91581E-03 6.51626E-03 3.20820E-03 0.028863 5 1 50.0 0.0 180.0 4.53319E-02 4.75186E-03 1.92591E-03 6.67776E-03 3.31379E-03 0.042485 5 4 50.0 45.0 135.0 4.83073E-02 4.70112E-03 2.00644E-03 6.70756E-03 3.27840E-03 0.041535 5 7 50.0 90.0 90.0 6.42124E-02 4.70199E-03 2.59395E-03 7.29594E-03 3.27901E-03 0.040396 4 1 60.0 0.0 180.0 5.38097E-02 4.72458E-03 4.48647E-03 9.21105E-03 3.29476E-03 0.083377 4 4 60.0 45.0 135.0 5.50275E-02 4.66999E-03 4.43031E-03 9.10030E-03 3.25670E-03 0.080511 4 7 60.0 90.0 90.0 6.79517E-02 4.74963E-03 5.17359E-03 9.92322E-03 3.31223E-03 0.076136 3 1 70.0 0.0 180.0 7.46614E-02 4.42604E-03 1.23928E-02 1.68189E-02 3.08657E-03 0.165987 3 4 70.0 45.0 135.0 7.25599E-02 4.42626E-03 1.19242E-02 1.63504E-02 3.08673E-03 0.164336 3 7 70.0 90.0 90.0 8.11203E-02 4.52950E-03 1.29670E-02 1.74965E-02 3.15872E-03 0.159849 2 1 80.0 0.0 180.0 1.26851E-01 3.82386E-03 3.08049E-02 3.46287E-02 2.66663E-03 0.242843 2 4 80.0 45.0 135.0 1.17461E-01 3.81858E-03 2.97947E-02 3.36133E-02 2.66295E-03 0.253655 2 7 80.0 90.0 90.0 1.16699E-01 3.93026E-03 3.12031E-02 3.51334E-02 2.74083E-03 0.267382 1 1 87.5 0.0 180.0 2.05094E-01 3.10475E-03 5.43287E-02 5.74334E-02 2.16515E-03 0.264896 1 4 87.5 45.0 135.0 1.84662E-01 2.95485E-03 5.39932E-02 5.69481E-02 2.06062E-03 0.292389 1 7 87.5 90.0 90.0 1.68002E-01 3.38452E-03 5.52585E-02 5.86430E-02 2.36025E-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 1.236E-02 1.084E-01 1.313E-01 1.133E-01 1.698E-01 8.617E-03 5.062E+00 4.341E-03 3.027E-03 1 0.00 0.00 8.051E-03 2.018E-01 1.659E-02 2.009E-02 2.933E-02 5.726E-03 4.311E+00 3 3.02 5.00 4.442E-03 3.342E-01 1.160E-02 1.573E-02 2.715E-02 5.822E-03 4.684E+00 5 6.04 10.00 2.334E-03 2.509E-01 6.988E-03 9.548E-03 1.603E-02 5.858E-03 4.867E+00 Waveband 20 of 40 completed in 3.0 sec. * * * * * Output for wavelength band 21 (550.0 to 560.0 nm; nominal wavelength = 555.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 555.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 550.0 nm to 560.0 nm: Ed(diffuse) = 3.946E-01 Ed(direct) = 1.031E+00 Ed(total) = 1.425E+00 Absorption Coefficients of Individual Components at 555.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0596 0.0330 0.0041 0.0967 3 2.984 5.000 0.0596 0.0330 0.0041 0.0967 5 5.968 10.000 0.0596 0.0330 0.0041 0.0967 Scattering Coefficients of Individual Components at 555.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0018 0.4983 0.0000 0.5001 3 2.984 5.000 0.0018 0.4983 0.0000 0.5001 5 5.968 10.000 0.0018 0.4983 0.0000 0.5001 Backscattering Coefficients of Individual Components at 555.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00092 0.00498 0.00000 0.00590 3 2.984 5.000 0.00092 0.00498 0.00000 0.00590 5 5.968 10.000 0.00092 0.00498 0.00000 0.00590 Summary of Inherent Optical Properties at 555.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0967 0.5001 0.5968 0.8380 0.00590 0.01180 3 2.984 5.000 0.0967 0.5001 0.5968 0.8380 0.00590 0.01180 5 5.968 10.000 0.0967 0.5001 0.5968 0.8380 0.00590 0.01180 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3232E-01 8 20.00 7.7249E-01 7 30.00 5.7357E-01 6 40.00 3.8926E-01 5 50.00 2.4731E-01 4 60.00 1.5110E-01 3 70.00 9.1296E-02 2 80.00 5.6217E-02 1 87.50 3.9679E-02 1 92.50 3.1115E-02 2 100.00 2.3071E-02 3 110.00 1.6434E-02 4 120.00 1.2393E-02 5 130.00 9.9401E-03 6 140.00 8.4408E-03 7 150.00 7.5269E-03 8 160.00 6.9871E-03 9 170.00 6.7027E-03 10 180.00 6.6038E-03 Asymptotic AOP values are MUu(inf) = 0.3649 MUd(inf) = 0.7451 MU(inf) = 0.6843 R(inf) = 0.0284 Lu(inf)/Ed(inf) = 0.005519 (1/sr) k(inf) = 0.1413 (1/m) absorp(check) = 0.0967 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 555.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.6246E-01 1.9877E+00 2.1502E+00 6.1292E-02 1.4251E+00 0.3773 0.7169 0.6343 4.3010E-02 1 0.00 0.00 7.9630E-02 1.5963E+00 1.6760E+00 3.2875E-02 1.3967E+00 0.4129 0.8749 0.8137 2.3539E-02 3 2.98 5.00 5.0569E-02 9.2866E-01 9.7922E-01 1.9558E-02 7.5211E-01 0.3868 0.8099 0.7481 2.6004E-02 5 5.97 10.00 2.8108E-02 4.9916E-01 5.2727E-01 1.0601E-02 3.8986E-01 0.3772 0.7810 0.7193 2.7193E-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 0.06276 0.09365 0.09219 0.08538 0.11757 0.11835 0.11209 5.000 5.010 5.005 0.10901 0.11861 0.11811 0.11614 0.12847 0.12880 0.12648 10.000 10.010 10.005 0.12403 0.12860 0.12835 0.12755 0.13386 0.13403 0.13305 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 555.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.06473E-01 4.10261E-03 7.95844E-03 1.20610E-02 2.87886E-03 0.074746 9 1 10.0 0.0 180.0 6.56983E-02 4.18261E-03 2.36614E-03 6.54875E-03 2.93500E-03 0.036015 9 4 10.0 45.0 135.0 7.21847E-02 4.16013E-03 2.74497E-03 6.90509E-03 2.91923E-03 0.038027 9 7 10.0 90.0 90.0 9.75275E-02 4.14268E-03 5.74034E-03 9.88302E-03 2.90699E-03 0.058859 8 1 20.0 0.0 180.0 5.16051E-02 4.24019E-03 1.26040E-03 5.50059E-03 2.97541E-03 0.024424 8 4 20.0 45.0 135.0 5.74504E-02 4.18961E-03 1.48543E-03 5.67503E-03 2.93991E-03 0.025856 8 7 20.0 90.0 90.0 8.44780E-02 4.17277E-03 3.36583E-03 7.53860E-03 2.92810E-03 0.039843 7 1 30.0 0.0 180.0 4.47444E-02 4.32249E-03 1.07710E-03 5.39959E-03 3.03316E-03 0.024072 7 4 30.0 45.0 135.0 4.96077E-02 4.30486E-03 1.20997E-03 5.51483E-03 3.02079E-03 0.024391 7 7 30.0 90.0 90.0 7.23380E-02 4.26676E-03 2.09245E-03 6.35921E-03 2.99405E-03 0.028926 6 1 40.0 0.0 180.0 4.24709E-02 4.39633E-03 1.19760E-03 5.59393E-03 3.08498E-03 0.028198 6 4 40.0 45.0 135.0 4.64396E-02 4.37085E-03 1.29888E-03 5.66973E-03 3.06709E-03 0.027969 6 7 40.0 90.0 90.0 6.52005E-02 4.34695E-03 1.88214E-03 6.22909E-03 3.05032E-03 0.028867 5 1 50.0 0.0 180.0 4.45293E-02 4.49153E-03 1.89181E-03 6.38333E-03 3.15178E-03 0.042485 5 4 50.0 45.0 135.0 4.74520E-02 4.44284E-03 1.97092E-03 6.41375E-03 3.11761E-03 0.041535 5 7 50.0 90.0 90.0 6.30755E-02 4.44303E-03 2.54802E-03 6.99105E-03 3.11775E-03 0.040396 4 1 60.0 0.0 180.0 5.28570E-02 4.46560E-03 4.40703E-03 8.87263E-03 3.13358E-03 0.083377 4 4 60.0 45.0 135.0 5.40532E-02 4.41332E-03 4.35187E-03 8.76519E-03 3.09690E-03 0.080511 4 7 60.0 90.0 90.0 6.67486E-02 4.48845E-03 5.08199E-03 9.57044E-03 3.14962E-03 0.076136 3 1 70.0 0.0 180.0 7.33395E-02 4.18352E-03 1.21734E-02 1.63569E-02 2.93564E-03 0.165987 3 4 70.0 45.0 135.0 7.12752E-02 4.18325E-03 1.17131E-02 1.58963E-02 2.93546E-03 0.164336 3 7 70.0 90.0 90.0 7.96840E-02 4.28153E-03 1.27374E-02 1.70189E-02 3.00442E-03 0.159849 2 1 80.0 0.0 180.0 1.24605E-01 3.61457E-03 3.02595E-02 3.38740E-02 2.53641E-03 0.242843 2 4 80.0 45.0 135.0 1.15382E-01 3.60937E-03 2.92672E-02 3.28765E-02 2.53275E-03 0.253655 2 7 80.0 90.0 90.0 1.14633E-01 3.71626E-03 3.06507E-02 3.43669E-02 2.60776E-03 0.267382 1 1 87.5 0.0 180.0 2.01463E-01 2.93526E-03 5.33668E-02 5.63020E-02 2.05972E-03 0.264896 1 4 87.5 45.0 135.0 1.81393E-01 2.79355E-03 5.30373E-02 5.58308E-02 1.96028E-03 0.292389 1 7 87.5 90.0 90.0 1.65027E-01 3.20168E-03 5.42802E-02 5.74818E-02 2.24667E-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 1.206E-02 1.065E-01 1.289E-01 1.113E-01 1.667E-01 8.463E-03 5.082E+00 4.103E-03 2.879E-03 1 0.00 0.00 7.610E-03 1.982E-01 1.575E-02 1.913E-02 2.809E-02 5.449E-03 4.320E+00 3 2.98 5.00 4.169E-03 3.263E-01 1.095E-02 1.489E-02 2.585E-02 5.543E-03 4.691E+00 5 5.97 10.00 2.176E-03 2.446E-01 6.539E-03 8.967E-03 1.515E-02 5.580E-03 4.873E+00 Waveband 21 of 40 completed in 2.9 sec. * * * * * Output for wavelength band 22 (560.0 to 570.0 nm; nominal wavelength = 565.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 565.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 560.0 nm to 570.0 nm: Ed(diffuse) = 3.870E-01 Ed(direct) = 1.026E+00 Ed(total) = 1.413E+00 Absorption Coefficients of Individual Components at 565.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0642 0.0278 0.0036 0.0956 3 2.934 5.000 0.0642 0.0278 0.0036 0.0956 5 5.868 10.000 0.0642 0.0278 0.0036 0.0956 Scattering Coefficients of Individual Components at 565.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0017 0.4894 0.0000 0.4912 3 2.934 5.000 0.0017 0.4894 0.0000 0.4912 5 5.868 10.000 0.0017 0.4894 0.0000 0.4912 Backscattering Coefficients of Individual Components at 565.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00085 0.00489 0.00000 0.00575 3 2.934 5.000 0.00085 0.00489 0.00000 0.00575 5 5.868 10.000 0.00085 0.00489 0.00000 0.00575 Summary of Inherent Optical Properties at 565.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0956 0.4912 0.5868 0.8370 0.00575 0.01170 3 2.934 5.000 0.0956 0.4912 0.5868 0.8370 0.00575 0.01170 5 5.868 10.000 0.0956 0.4912 0.5868 0.8370 0.00575 0.01170 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3206E-01 8 20.00 7.7170E-01 7 30.00 5.7232E-01 6 40.00 3.8784E-01 5 50.00 2.4600E-01 4 60.00 1.5003E-01 3 70.00 9.0493E-02 2 80.00 5.5629E-02 1 87.50 3.9216E-02 1 92.50 3.0726E-02 2 100.00 2.2757E-02 3 110.00 1.6188E-02 4 120.00 1.2191E-02 5 130.00 9.7680E-03 6 140.00 8.2874E-03 7 150.00 7.3853E-03 8 160.00 6.8526E-03 9 170.00 6.5722E-03 10 180.00 6.4746E-03 Asymptotic AOP values are MUu(inf) = 0.3643 MUd(inf) = 0.7458 MU(inf) = 0.6857 R(inf) = 0.0280 Lu(inf)/Ed(inf) = 0.005426 (1/sr) k(inf) = 0.1395 (1/m) absorp(check) = 0.0956 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 565.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.5964E-01 1.9675E+00 2.1272E+00 6.0382E-02 1.4132E+00 0.3782 0.7183 0.6360 4.2727E-02 1 0.00 0.00 7.7799E-02 1.5819E+00 1.6597E+00 3.2078E-02 1.3849E+00 0.4123 0.8755 0.8151 2.3163E-02 3 2.93 5.00 4.9799E-02 9.2707E-01 9.7686E-01 1.9242E-02 7.5203E-01 0.3864 0.8112 0.7501 2.5587E-02 5 5.87 10.00 2.7952E-02 5.0286E-01 5.3081E-01 1.0532E-02 3.9342E-01 0.3768 0.7824 0.7213 2.6771E-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 0.06149 0.09250 0.09105 0.08405 0.11607 0.11683 0.11051 5.000 5.010 5.005 0.10715 0.11689 0.11639 0.11427 0.12668 0.12701 0.12459 10.000 10.010 10.005 0.12202 0.12671 0.12646 0.12555 0.13197 0.13215 0.13107 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 565.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.04429E-01 3.99394E-03 7.88459E-03 1.18785E-02 2.82613E-03 0.075502 9 1 10.0 0.0 180.0 6.44370E-02 4.07119E-03 2.33131E-03 6.40251E-03 2.88079E-03 0.036180 9 4 10.0 45.0 135.0 7.07988E-02 4.04952E-03 2.70590E-03 6.75542E-03 2.86546E-03 0.038220 9 7 10.0 90.0 90.0 9.56551E-02 4.03310E-03 5.67898E-03 9.71207E-03 2.85384E-03 0.059369 8 1 20.0 0.0 180.0 5.06144E-02 4.12705E-03 1.23674E-03 5.36379E-03 2.92032E-03 0.024435 8 4 20.0 45.0 135.0 5.63474E-02 4.07816E-03 1.45830E-03 5.53645E-03 2.88572E-03 0.025880 8 7 20.0 90.0 90.0 8.28562E-02 4.06274E-03 3.31978E-03 7.38252E-03 2.87481E-03 0.040067 7 1 30.0 0.0 180.0 4.38854E-02 4.20710E-03 1.05642E-03 5.26352E-03 2.97696E-03 0.024072 7 4 30.0 45.0 135.0 4.86557E-02 4.19041E-03 1.18680E-03 5.37721E-03 2.96515E-03 0.024392 7 7 30.0 90.0 90.0 7.09468E-02 4.15473E-03 2.05593E-03 6.21066E-03 2.93991E-03 0.028978 6 1 40.0 0.0 180.0 4.16555E-02 4.27908E-03 1.17461E-03 5.45369E-03 3.02790E-03 0.028198 6 4 40.0 45.0 135.0 4.55481E-02 4.25492E-03 1.27394E-03 5.52887E-03 3.01080E-03 0.027969 6 7 40.0 90.0 90.0 6.39488E-02 4.23375E-03 1.84625E-03 6.08000E-03 2.99582E-03 0.028871 5 1 50.0 0.0 180.0 4.36744E-02 4.37200E-03 1.85549E-03 6.22749E-03 3.09364E-03 0.042485 5 4 50.0 45.0 135.0 4.65410E-02 4.32544E-03 1.93308E-03 6.25852E-03 3.06070E-03 0.041535 5 7 50.0 90.0 90.0 6.18645E-02 4.32843E-03 2.49910E-03 6.82754E-03 3.06282E-03 0.040396 4 1 60.0 0.0 180.0 5.18422E-02 4.34708E-03 4.32243E-03 8.66951E-03 3.07601E-03 0.083377 4 4 60.0 45.0 135.0 5.30155E-02 4.29722E-03 4.26832E-03 8.56554E-03 3.04073E-03 0.080511 4 7 60.0 90.0 90.0 6.54672E-02 4.37387E-03 4.98443E-03 9.35830E-03 3.09497E-03 0.076136 3 1 70.0 0.0 180.0 7.19315E-02 4.07296E-03 1.19397E-02 1.60127E-02 2.88204E-03 0.165987 3 4 70.0 45.0 135.0 6.99069E-02 4.07389E-03 1.14882E-02 1.55621E-02 2.88270E-03 0.164336 3 7 70.0 90.0 90.0 7.81542E-02 4.17369E-03 1.24929E-02 1.66666E-02 2.95332E-03 0.159849 2 1 80.0 0.0 180.0 1.22213E-01 3.51948E-03 2.96785E-02 3.31980E-02 2.49040E-03 0.242843 2 4 80.0 45.0 135.0 1.13166E-01 3.51562E-03 2.87053E-02 3.22209E-02 2.48767E-03 0.253655 2 7 80.0 90.0 90.0 1.12432E-01 3.62384E-03 3.00622E-02 3.36861E-02 2.56424E-03 0.267382 1 1 87.5 0.0 180.0 1.97595E-01 2.85844E-03 5.23422E-02 5.52006E-02 2.02264E-03 0.264896 1 4 87.5 45.0 135.0 1.77910E-01 2.72151E-03 5.20190E-02 5.47405E-02 1.92575E-03 0.292389 1 7 87.5 90.0 90.0 1.61859E-01 3.12313E-03 5.32381E-02 5.63612E-02 2.20994E-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 1.188E-02 1.044E-01 1.264E-01 1.091E-01 1.635E-01 8.405E-03 5.083E+00 3.994E-03 2.826E-03 1 0.00 0.00 7.408E-03 1.944E-01 1.536E-02 1.871E-02 2.757E-02 5.349E-03 4.330E+00 3 2.93 5.00 4.094E-03 3.226E-01 1.076E-02 1.468E-02 2.556E-02 5.445E-03 4.700E+00 5 5.87 10.00 2.158E-03 2.449E-01 6.485E-03 8.921E-03 1.514E-02 5.484E-03 4.881E+00 Waveband 22 of 40 completed in 3.0 sec. * * * * * Output for wavelength band 23 (570.0 to 580.0 nm; nominal wavelength = 575.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 43.9 m at 575.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 570.0 nm to 580.0 nm: Ed(diffuse) = 3.835E-01 Ed(direct) = 1.031E+00 Ed(total) = 1.415E+00 Absorption Coefficients of Individual Components at 575.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0772 0.0268 0.0031 0.1071 3 2.948 5.000 0.0772 0.0268 0.0031 0.1071 5 5.896 10.000 0.0772 0.0268 0.0031 0.1071 Scattering Coefficients of Individual Components at 575.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0016 0.4809 0.0000 0.4825 3 2.948 5.000 0.0016 0.4809 0.0000 0.4825 5 5.896 10.000 0.0016 0.4809 0.0000 0.4825 Backscattering Coefficients of Individual Components at 575.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00079 0.00481 0.00000 0.00560 3 2.948 5.000 0.00079 0.00481 0.00000 0.00560 5 5.896 10.000 0.00079 0.00481 0.00000 0.00560 Summary of Inherent Optical Properties at 575.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1071 0.4825 0.5896 0.8183 0.00560 0.01160 3 2.948 5.000 0.1071 0.4825 0.5896 0.8183 0.00560 0.01160 5 5.896 10.000 0.1071 0.4825 0.5896 0.8183 0.00560 0.01160 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.2668E-01 8 20.00 7.5557E-01 7 30.00 5.4745E-01 6 40.00 3.6054E-01 5 50.00 2.2175E-01 4 60.00 1.3126E-01 3 70.00 7.7095E-02 2 80.00 4.6377E-02 1 87.50 3.2286E-02 1 92.50 2.5141E-02 2 100.00 1.8495E-02 3 110.00 1.3079E-02 4 120.00 9.8285E-03 5 130.00 7.8787E-03 6 140.00 6.6981E-03 7 150.00 5.9844E-03 8 160.00 5.5659E-03 9 170.00 5.3466E-03 10 180.00 5.2705E-03 Asymptotic AOP values are MUu(inf) = 0.3634 MUd(inf) = 0.7573 MU(inf) = 0.7042 R(inf) = 0.0239 Lu(inf)/Ed(inf) = 0.004657 (1/sr) k(inf) = 0.1521 (1/m) absorp(check) = 0.1071 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 575.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.5520E-01 1.9664E+00 2.1216E+00 5.8411E-02 1.4148E+00 0.3764 0.7195 0.6393 4.1284E-02 1 0.00 0.00 6.7468E-02 1.5750E+00 1.6424E+00 2.7647E-02 1.3841E+00 0.4098 0.8788 0.8259 1.9975E-02 3 2.95 5.00 4.0489E-02 8.6283E-01 9.0331E-01 1.5555E-02 7.0483E-01 0.3842 0.8169 0.7631 2.2069E-02 5 5.90 10.00 2.1246E-02 4.3743E-01 4.5868E-01 7.9714E-03 3.4554E-01 0.3752 0.7899 0.7359 2.3070E-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 0.07018 0.10466 0.10325 0.09526 0.12860 0.12928 0.12253 5.000 5.010 5.005 0.12068 0.13050 0.13006 0.12745 0.13966 0.13993 0.13727 10.000 10.010 10.005 0.13540 0.14012 0.13990 0.13869 0.14497 0.14511 0.14381 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 575.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.03470E-01 3.43959E-03 7.88652E-03 1.13261E-02 2.43109E-03 0.076220 9 1 10.0 0.0 180.0 6.38454E-02 3.51003E-03 2.31989E-03 5.82992E-03 2.48087E-03 0.036336 9 4 10.0 45.0 135.0 7.01489E-02 3.48985E-03 2.69390E-03 6.18375E-03 2.46661E-03 0.038403 9 7 10.0 90.0 90.0 9.47770E-02 3.47216E-03 5.67282E-03 9.14498E-03 2.45411E-03 0.059854 8 1 20.0 0.0 180.0 5.01497E-02 3.55919E-03 1.22589E-03 4.78508E-03 2.51562E-03 0.024445 8 4 20.0 45.0 135.0 5.58301E-02 3.51452E-03 1.44622E-03 4.96073E-03 2.48404E-03 0.025904 8 7 20.0 90.0 90.0 8.20955E-02 3.49548E-03 3.30679E-03 6.80227E-03 2.47059E-03 0.040280 7 1 30.0 0.0 180.0 4.34825E-02 3.62836E-03 1.04672E-03 4.67508E-03 2.56450E-03 0.024072 7 4 30.0 45.0 135.0 4.82094E-02 3.61045E-03 1.17597E-03 4.78642E-03 2.55185E-03 0.024393 7 7 30.0 90.0 90.0 7.02931E-02 3.57187E-03 2.04050E-03 5.61237E-03 2.52458E-03 0.029028 6 1 40.0 0.0 180.0 4.12731E-02 3.68914E-03 1.16383E-03 4.85297E-03 2.60747E-03 0.028198 6 4 40.0 45.0 135.0 4.51299E-02 3.66373E-03 1.26225E-03 4.92597E-03 2.58950E-03 0.027969 6 7 40.0 90.0 90.0 6.33617E-02 3.63556E-03 1.82952E-03 5.46508E-03 2.56959E-03 0.028874 5 1 50.0 0.0 180.0 4.32735E-02 3.76745E-03 1.83845E-03 5.60591E-03 2.66282E-03 0.042485 5 4 50.0 45.0 135.0 4.61137E-02 3.72210E-03 1.91533E-03 5.63743E-03 2.63076E-03 0.041535 5 7 50.0 90.0 90.0 6.12966E-02 3.71375E-03 2.47616E-03 6.18991E-03 2.62486E-03 0.040396 4 1 60.0 0.0 180.0 5.13663E-02 3.74419E-03 4.28275E-03 8.02693E-03 2.64637E-03 0.083377 4 4 60.0 45.0 135.0 5.25288E-02 3.69563E-03 4.22913E-03 7.92476E-03 2.61205E-03 0.080511 4 7 60.0 90.0 90.0 6.48662E-02 3.75026E-03 4.93867E-03 8.68893E-03 2.65067E-03 0.076136 3 1 70.0 0.0 180.0 7.12711E-02 3.50666E-03 1.18301E-02 1.53367E-02 2.47849E-03 0.165987 3 4 70.0 45.0 135.0 6.92651E-02 3.50208E-03 1.13827E-02 1.48848E-02 2.47525E-03 0.164336 3 7 70.0 90.0 90.0 7.74367E-02 3.57781E-03 1.23782E-02 1.59560E-02 2.52877E-03 0.159849 2 1 80.0 0.0 180.0 1.21091E-01 3.02942E-03 2.94061E-02 3.24355E-02 2.14118E-03 0.242843 2 4 80.0 45.0 135.0 1.12128E-01 3.02154E-03 2.84418E-02 3.14633E-02 2.13561E-03 0.253655 2 7 80.0 90.0 90.0 1.11400E-01 3.10674E-03 2.97863E-02 3.28930E-02 2.19583E-03 0.267382 1 1 87.5 0.0 180.0 1.95781E-01 2.46051E-03 5.18617E-02 5.43222E-02 1.73907E-03 0.264896 1 4 87.5 45.0 135.0 1.76277E-01 2.33933E-03 5.15415E-02 5.38808E-02 1.65343E-03 0.292389 1 7 87.5 90.0 90.0 1.60373E-01 2.67911E-03 5.27493E-02 5.54284E-02 1.89358E-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 1.133E-02 1.035E-01 1.251E-01 1.079E-01 1.617E-01 8.005E-03 5.157E+00 3.440E-03 2.431E-03 1 0.00 0.00 6.380E-03 1.926E-01 1.339E-02 1.638E-02 2.440E-02 4.610E-03 4.333E+00 3 2.95 5.00 3.313E-03 3.015E-01 8.863E-03 1.216E-02 2.140E-02 4.700E-03 4.695E+00 5 5.90 10.00 1.638E-03 2.169E-01 4.982E-03 6.884E-03 1.178E-02 4.741E-03 4.866E+00 Waveband 23 of 40 completed in 3.1 sec. * * * * * Output for wavelength band 24 (580.0 to 590.0 nm; nominal wavelength = 585.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 42.5 m at 585.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 580.0 nm to 590.0 nm: Ed(diffuse) = 3.707E-01 Ed(direct) = 1.010E+00 Ed(total) = 1.381E+00 Absorption Coefficients of Individual Components at 585.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1100 0.0278 0.0027 0.1405 3 3.074 5.000 0.1100 0.0278 0.0027 0.1405 5 6.147 10.000 0.1100 0.0278 0.0027 0.1405 Scattering Coefficients of Individual Components at 585.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0015 0.4727 0.0000 0.4742 3 3.074 5.000 0.0015 0.4727 0.0000 0.4742 5 6.147 10.000 0.0015 0.4727 0.0000 0.4742 Backscattering Coefficients of Individual Components at 585.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00073 0.00473 0.00000 0.00546 3 3.074 5.000 0.00073 0.00473 0.00000 0.00546 5 6.147 10.000 0.00073 0.00473 0.00000 0.00546 Summary of Inherent Optical Properties at 585.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1405 0.4742 0.6147 0.7714 0.00546 0.01152 3 3.074 5.000 0.1405 0.4742 0.6147 0.7714 0.00546 0.01152 5 6.147 10.000 0.1405 0.4742 0.6147 0.7714 0.00546 0.01152 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.1314E-01 8 20.00 7.1621E-01 7 30.00 4.8958E-01 6 40.00 3.0065E-01 5 50.00 1.7186E-01 4 60.00 9.4987E-02 3 70.00 5.2646E-02 2 80.00 3.0291E-02 1 87.50 2.0588E-02 1 92.50 1.5871E-02 2 100.00 1.1551E-02 3 110.00 8.1068E-03 4 120.00 6.0916E-03 5 130.00 4.9070E-03 6 140.00 4.2024E-03 7 150.00 3.7835E-03 8 160.00 3.5416E-03 9 170.00 3.4164E-03 10 180.00 3.3730E-03 Asymptotic AOP values are MUu(inf) = 0.3635 MUd(inf) = 0.7825 MU(inf) = 0.7423 R(inf) = 0.0169 Lu(inf)/Ed(inf) = 0.003373 (1/sr) k(inf) = 0.1894 (1/m) absorp(check) = 0.1406 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 585.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.4469E-01 1.9161E+00 2.0607E+00 5.3824E-02 1.3808E+00 0.3720 0.7207 0.6439 3.8980E-02 1 0.00 0.00 4.8558E-02 1.5228E+00 1.5714E+00 1.9678E-02 1.3467E+00 0.4053 0.8843 0.8445 1.4613E-02 3 3.07 5.00 2.4051E-02 6.8560E-01 7.0965E-01 9.1642E-03 5.6752E-01 0.3810 0.8278 0.7868 1.6148E-02 5 6.15 10.00 1.0372E-02 2.8530E-01 2.9568E-01 3.8777E-03 2.2971E-01 0.3739 0.8051 0.7638 1.6881E-02 K-functions (units of 1/meter) at 585.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.09874 0.14082 0.13952 0.12918 0.16549 0.16603 0.15802 5.000 5.010 5.005 0.16029 0.17016 0.16982 0.16600 0.17792 0.17811 0.17424 10.000 10.010 10.005 0.17427 0.17939 0.17921 0.17673 0.18328 0.18339 0.18051 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 2.45632E-03 7.69050E-03 1.01468E-02 1.77890E-03 0.076891 9 1 10.0 0.0 180.0 6.17156E-02 2.51271E-03 2.25150E-03 4.76421E-03 1.81974E-03 0.036482 9 4 10.0 45.0 135.0 6.78088E-02 2.49594E-03 2.61562E-03 5.11155E-03 1.80759E-03 0.038573 9 7 10.0 90.0 90.0 9.16153E-02 2.47768E-03 5.52507E-03 8.00275E-03 1.79437E-03 0.060307 8 1 20.0 0.0 180.0 4.84768E-02 2.54933E-03 1.18545E-03 3.73478E-03 1.84626E-03 0.024454 8 4 20.0 45.0 135.0 5.39677E-02 2.51342E-03 1.39915E-03 3.91257E-03 1.82026E-03 0.025926 8 7 20.0 90.0 90.0 7.93569E-02 2.49061E-03 3.21226E-03 5.70287E-03 1.80373E-03 0.040479 7 1 30.0 0.0 180.0 4.20320E-02 2.59886E-03 1.01180E-03 3.61066E-03 1.88213E-03 0.024072 7 4 30.0 45.0 135.0 4.66016E-02 2.58055E-03 1.13680E-03 3.71735E-03 1.86887E-03 0.024394 7 7 30.0 90.0 90.0 6.79461E-02 2.54030E-03 1.97553E-03 4.51583E-03 1.83972E-03 0.029075 6 1 40.0 0.0 180.0 3.98963E-02 2.63995E-03 1.12500E-03 3.76496E-03 1.91189E-03 0.028198 6 4 40.0 45.0 135.0 4.36245E-02 2.61453E-03 1.22014E-03 3.83467E-03 1.89348E-03 0.027969 6 7 40.0 90.0 90.0 6.12481E-02 2.57800E-03 1.76869E-03 4.34670E-03 1.86703E-03 0.028878 5 1 50.0 0.0 180.0 4.18299E-02 2.69258E-03 1.77713E-03 4.46971E-03 1.95000E-03 0.042485 5 4 50.0 45.0 135.0 4.45754E-02 2.65178E-03 1.85144E-03 4.50321E-03 1.92045E-03 0.041535 5 7 50.0 90.0 90.0 5.92518E-02 2.62724E-03 2.39356E-03 5.02081E-03 1.90268E-03 0.040396 4 1 60.0 0.0 180.0 4.96528E-02 2.67243E-03 4.13988E-03 6.81231E-03 1.93541E-03 0.083377 4 4 60.0 45.0 135.0 5.07765E-02 2.62863E-03 4.08806E-03 6.71668E-03 1.90369E-03 0.080511 4 7 60.0 90.0 90.0 6.27023E-02 2.64762E-03 4.77392E-03 7.42154E-03 1.91744E-03 0.076136 3 1 70.0 0.0 180.0 6.88936E-02 2.49963E-03 1.14355E-02 1.39351E-02 1.81026E-03 0.165987 3 4 70.0 45.0 135.0 6.69545E-02 2.48738E-03 1.10030E-02 1.34904E-02 1.80139E-03 0.164336 3 7 70.0 90.0 90.0 7.48536E-02 2.52242E-03 1.19653E-02 1.44877E-02 1.82677E-03 0.159849 2 1 80.0 0.0 180.0 1.17051E-01 2.15739E-03 2.84251E-02 3.05825E-02 1.56241E-03 0.242843 2 4 80.0 45.0 135.0 1.08387E-01 2.14393E-03 2.74930E-02 2.96369E-02 1.55266E-03 0.253655 2 7 80.0 90.0 90.0 1.07684E-01 2.18889E-03 2.87926E-02 3.09815E-02 1.58522E-03 0.267382 1 1 87.5 0.0 180.0 1.89250E-01 1.75146E-03 5.01317E-02 5.18831E-02 1.26843E-03 0.264896 1 4 87.5 45.0 135.0 1.70397E-01 1.65933E-03 4.98221E-02 5.14815E-02 1.20171E-03 0.292389 1 7 87.5 90.0 90.0 1.55023E-01 1.88832E-03 5.09897E-02 5.28780E-02 1.36754E-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 1.015E-02 1.000E-01 1.206E-01 1.040E-01 1.559E-01 7.348E-03 5.304E+00 2.456E-03 1.779E-03 1 0.00 0.00 4.557E-03 1.861E-01 9.773E-03 1.202E-02 1.826E-02 3.384E-03 4.318E+00 3 3.07 5.00 1.970E-03 2.453E-01 5.407E-03 7.480E-03 1.336E-02 3.472E-03 4.651E+00 5 6.15 10.00 8.103E-04 1.490E-01 2.484E-03 3.443E-03 5.937E-03 3.528E-03 4.785E+00 Waveband 24 of 40 completed in 3.2 sec. * * * * * Output for wavelength band 25 (590.0 to 600.0 nm; nominal wavelength = 595.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 40.3 m at 595.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 590.0 nm to 600.0 nm: Ed(diffuse) = 3.536E-01 Ed(direct) = 9.762E-01 Ed(total) = 1.330E+00 Absorption Coefficients of Individual Components at 595.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1672 0.0247 0.0024 0.1943 3 3.302 5.000 0.1672 0.0247 0.0024 0.1943 5 6.604 10.000 0.1672 0.0247 0.0024 0.1943 Scattering Coefficients of Individual Components at 595.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0014 0.4648 0.0000 0.4661 3 3.302 5.000 0.0014 0.4648 0.0000 0.4661 5 6.604 10.000 0.0014 0.4648 0.0000 0.4661 Backscattering Coefficients of Individual Components at 595.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00068 0.00465 0.00000 0.00533 3 3.302 5.000 0.00068 0.00465 0.00000 0.00533 5 6.604 10.000 0.00068 0.00465 0.00000 0.00533 Summary of Inherent Optical Properties at 595.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1943 0.4661 0.6604 0.7058 0.00533 0.01143 3 3.302 5.000 0.1943 0.4661 0.6604 0.7058 0.00533 0.01143 5 6.604 10.000 0.1943 0.4661 0.6604 0.7058 0.00533 0.01143 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.9361E-01 8 20.00 6.6246E-01 7 30.00 4.1690E-01 6 40.00 2.3260E-01 5 50.00 1.2083E-01 4 60.00 6.1412E-02 3 70.00 3.1894E-02 2 80.00 1.7545E-02 1 87.50 1.1673E-02 1 92.50 8.9424E-03 2 100.00 6.4680E-03 3 110.00 4.5283E-03 4 120.00 3.4196E-03 5 130.00 2.7801E-03 6 140.00 2.4065E-03 7 150.00 2.1887E-03 8 160.00 2.0654E-03 9 170.00 2.0026E-03 10 180.00 1.9810E-03 Asymptotic AOP values are MUu(inf) = 0.3659 MUd(inf) = 0.8115 MU(inf) = 0.7829 R(inf) = 0.0113 Lu(inf)/Ed(inf) = 0.002321 (1/sr) k(inf) = 0.2482 (1/m) absorp(check) = 0.1943 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 595.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.3388E-01 1.8424E+00 1.9763E+00 4.9306E-02 1.3298E+00 0.3683 0.7218 0.6479 3.7078E-02 1 0.00 0.00 3.2760E-02 1.4550E+00 1.4877E+00 1.3133E-02 1.2936E+00 0.4009 0.8891 0.8607 1.0152E-02 3 3.30 5.00 1.1933E-02 4.7922E-01 4.9116E-01 4.5355E-03 4.0254E-01 0.3801 0.8400 0.8103 1.1267E-02 5 6.60 10.00 3.8212E-03 1.4604E-01 1.4986E-01 1.4386E-03 1.2013E-01 0.3765 0.8226 0.7920 1.1976E-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 0.14986 0.20019 0.19909 0.18527 0.22497 0.22538 0.21481 5.000 5.010 5.005 0.22169 0.23287 0.23260 0.22540 0.23895 0.23911 0.23061 10.000 10.010 10.005 0.22828 0.24125 0.24092 0.23196 0.24408 0.24423 0.23298 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 1.64970E-03 7.40045E-03 9.05015E-03 1.24057E-03 0.077552 9 1 10.0 0.0 180.0 5.88819E-02 1.69153E-03 2.15659E-03 3.84812E-03 1.27203E-03 0.036626 9 4 10.0 45.0 135.0 6.46953E-02 1.67870E-03 2.50641E-03 4.18512E-03 1.26238E-03 0.038742 9 7 10.0 90.0 90.0 8.74087E-02 1.66270E-03 5.31041E-03 6.97310E-03 1.25035E-03 0.060754 8 1 20.0 0.0 180.0 4.62509E-02 1.71700E-03 1.13145E-03 2.84844E-03 1.29118E-03 0.024463 8 4 20.0 45.0 135.0 5.14897E-02 1.69023E-03 1.33602E-03 3.02624E-03 1.27105E-03 0.025947 8 7 20.0 90.0 90.0 7.57132E-02 1.66873E-03 3.07961E-03 4.74834E-03 1.25488E-03 0.040675 7 1 30.0 0.0 180.0 4.01020E-02 1.75016E-03 9.65346E-04 2.71551E-03 1.31612E-03 0.024072 7 4 30.0 45.0 135.0 4.44621E-02 1.73419E-03 1.08466E-03 2.81884E-03 1.30410E-03 0.024395 7 7 30.0 90.0 90.0 6.48243E-02 1.69860E-03 1.88774E-03 3.58634E-03 1.27734E-03 0.029121 6 1 40.0 0.0 180.0 3.80644E-02 1.77585E-03 1.07335E-03 2.84919E-03 1.33543E-03 0.028198 6 4 40.0 45.0 135.0 4.16214E-02 1.75390E-03 1.16411E-03 2.91802E-03 1.31893E-03 0.027969 6 7 40.0 90.0 90.0 5.84358E-02 1.71821E-03 1.68767E-03 3.40588E-03 1.29209E-03 0.028881 5 1 50.0 0.0 180.0 3.99093E-02 1.80851E-03 1.69553E-03 3.50403E-03 1.35999E-03 0.042485 5 4 50.0 45.0 135.0 4.25287E-02 1.77543E-03 1.76643E-03 3.54186E-03 1.33512E-03 0.041535 5 7 50.0 90.0 90.0 5.65312E-02 1.74618E-03 2.28366E-03 4.02983E-03 1.31312E-03 0.040396 4 1 60.0 0.0 180.0 4.73729E-02 1.79207E-03 3.94979E-03 5.74187E-03 1.34764E-03 0.083377 4 4 60.0 45.0 135.0 4.84450E-02 1.75648E-03 3.90035E-03 5.65683E-03 1.32087E-03 0.080511 4 7 60.0 90.0 90.0 5.98232E-02 1.75526E-03 4.55472E-03 6.30998E-03 1.31995E-03 0.076136 3 1 70.0 0.0 180.0 6.57303E-02 1.67331E-03 1.09104E-02 1.25837E-02 1.25832E-03 0.165987 3 4 70.0 45.0 135.0 6.38802E-02 1.65892E-03 1.04978E-02 1.21567E-02 1.24750E-03 0.164336 3 7 70.0 90.0 90.0 7.14166E-02 1.66889E-03 1.14159E-02 1.30848E-02 1.25500E-03 0.159849 2 1 80.0 0.0 180.0 1.11677E-01 1.44222E-03 2.71199E-02 2.85622E-02 1.08454E-03 0.242843 2 4 80.0 45.0 135.0 1.03410E-01 1.42774E-03 2.62306E-02 2.76583E-02 1.07365E-03 0.253655 2 7 80.0 90.0 90.0 1.02739E-01 1.44638E-03 2.74706E-02 2.89170E-02 1.08767E-03 0.267382 1 1 87.5 0.0 180.0 1.80561E-01 1.16976E-03 4.78298E-02 4.89995E-02 8.79658E-04 0.264896 1 4 87.5 45.0 135.0 1.62573E-01 1.10407E-03 4.75345E-02 4.86385E-02 8.30258E-04 0.292389 1 7 87.5 90.0 90.0 1.47905E-01 1.24741E-03 4.86484E-02 4.98958E-02 9.38049E-04 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 595.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 9.050E-03 9.543E-02 1.148E-01 9.890E-02 1.485E-01 6.806E-03 5.448E+00 1.650E-03 1.241E-03 1 0.00 0.00 3.061E-03 1.776E-01 6.715E-03 8.309E-03 1.285E-02 2.366E-03 4.291E+00 3 3.30 5.00 9.944E-04 1.774E-01 2.739E-03 3.808E-03 6.873E-03 2.470E-03 4.561E+00 5 6.60 10.00 3.114E-04 8.179E-02 9.261E-04 1.277E-03 2.195E-03 2.592E-03 4.620E+00 Waveband 25 of 40 completed in 3.4 sec. * * * * * Output for wavelength band 26 (600.0 to 610.0 nm; nominal wavelength = 605.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 36.8 m at 605.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 600.0 nm to 610.0 nm: Ed(diffuse) = 3.601E-01 Ed(direct) = 1.006E+00 Ed(total) = 1.366E+00 Absorption Coefficients of Individual Components at 605.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2577 0.0278 0.0020 0.2876 3 3.730 5.000 0.2577 0.0278 0.0020 0.2876 5 7.459 10.000 0.2577 0.0278 0.0020 0.2876 Scattering Coefficients of Individual Components at 605.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0013 0.4571 0.0000 0.4584 3 3.730 5.000 0.0013 0.4571 0.0000 0.4584 5 7.459 10.000 0.0013 0.4571 0.0000 0.4584 Backscattering Coefficients of Individual Components at 605.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00063 0.00457 0.00000 0.00520 3 3.730 5.000 0.00063 0.00457 0.00000 0.00520 5 7.459 10.000 0.00063 0.00457 0.00000 0.00520 Summary of Inherent Optical Properties at 605.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2876 0.4584 0.7459 0.6145 0.00520 0.01136 3 3.730 5.000 0.2876 0.4584 0.7459 0.6145 0.00520 0.01136 5 7.459 10.000 0.2876 0.4584 0.7459 0.6145 0.00520 0.01136 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.6392E-01 8 20.00 5.8720E-01 7 30.00 3.2691E-01 6 40.00 1.5944E-01 5 50.00 7.3149E-02 4 60.00 3.3708E-02 3 70.00 1.6391E-02 2 80.00 8.6813E-03 1 87.50 5.6948E-03 1 92.50 4.3620E-03 2 100.00 3.1549E-03 3 110.00 2.2181E-03 4 120.00 1.6928E-03 5 130.00 1.3948E-03 6 140.00 1.2242E-03 7 150.00 1.1272E-03 8 160.00 1.0738E-03 9 170.00 1.0473E-03 10 180.00 1.0382E-03 Asymptotic AOP values are MUu(inf) = 0.3710 MUd(inf) = 0.8440 MU(inf) = 0.8251 R(inf) = 0.0069 Lu(inf)/Ed(inf) = 0.001496 (1/sr) k(inf) = 0.3486 (1/m) absorp(check) = 0.2876 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 605.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.3295E-01 1.8895E+00 2.0224E+00 4.8559E-02 1.3657E+00 0.3652 0.7228 0.6512 3.5557E-02 1 0.00 0.00 2.1989E-02 1.4846E+00 1.5066E+00 8.7222E-03 1.3258E+00 0.3967 0.8930 0.8742 6.5787E-03 3 3.73 5.00 4.7630E-03 2.8621E-01 2.9097E-01 1.8240E-03 2.4444E-01 0.3829 0.8540 0.8338 7.4619E-03 5 7.46 10.00 9.7290E-04 5.1403E-02 5.2376E-02 3.7959E-04 4.3300E-02 0.3902 0.8424 0.8195 8.7665E-03 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 0.24625 0.30445 0.30360 0.28493 0.32837 0.32866 0.31352 5.000 5.010 5.005 0.32071 0.33960 0.33929 0.32016 0.34374 0.34392 0.31874 10.000 10.010 10.005 0.31071 0.34594 0.34528 0.30392 0.34777 0.34816 0.29351 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 1.10381E-03 7.59453E-03 8.69834E-03 8.08259E-04 0.078167 9 1 10.0 0.0 180.0 5.99505E-02 1.13425E-03 2.20375E-03 3.33800E-03 8.30549E-04 0.036759 9 4 10.0 45.0 135.0 6.58694E-02 1.12470E-03 2.56222E-03 3.68692E-03 8.23554E-04 0.038899 9 7 10.0 90.0 90.0 8.89950E-02 1.11165E-03 5.44376E-03 6.55541E-03 8.14000E-04 0.061169 8 1 20.0 0.0 180.0 4.70903E-02 1.15182E-03 1.15239E-03 2.30421E-03 8.43415E-04 0.024472 8 4 20.0 45.0 135.0 5.24241E-02 1.13225E-03 1.36131E-03 2.49356E-03 8.29083E-04 0.025967 8 7 20.0 90.0 90.0 7.70872E-02 1.11399E-03 3.14956E-03 4.26355E-03 8.15711E-04 0.040857 7 1 30.0 0.0 180.0 4.08298E-02 1.17393E-03 9.82865E-04 2.15679E-03 8.59601E-04 0.024072 7 4 30.0 45.0 135.0 4.52693E-02 1.16092E-03 1.10439E-03 2.26531E-03 8.50080E-04 0.024396 7 7 30.0 90.0 90.0 6.59988E-02 1.13172E-03 1.92477E-03 3.05648E-03 8.28696E-04 0.029164 6 1 40.0 0.0 180.0 3.87552E-02 1.18983E-03 1.09282E-03 2.28266E-03 8.71250E-04 0.028198 6 4 40.0 45.0 135.0 4.23767E-02 1.17208E-03 1.18524E-03 2.35732E-03 8.58247E-04 0.027969 6 7 40.0 90.0 90.0 5.94963E-02 1.14113E-03 1.71848E-03 2.85961E-03 8.35588E-04 0.028884 5 1 50.0 0.0 180.0 4.06335E-02 1.20986E-03 1.72630E-03 2.93615E-03 8.85913E-04 0.042485 5 4 50.0 45.0 135.0 4.33005E-02 1.18415E-03 1.79848E-03 2.98263E-03 8.67085E-04 0.041535 5 7 50.0 90.0 90.0 5.75571E-02 1.15644E-03 2.32510E-03 3.48155E-03 8.46801E-04 0.040396 4 1 60.0 0.0 180.0 4.82326E-02 1.19688E-03 4.02147E-03 5.21835E-03 8.76408E-04 0.083377 4 4 60.0 45.0 135.0 4.93242E-02 1.16915E-03 3.97113E-03 5.14028E-03 8.56102E-04 0.080511 4 7 60.0 90.0 90.0 6.09089E-02 1.15940E-03 4.63738E-03 5.79678E-03 8.48965E-04 0.076136 3 1 70.0 0.0 180.0 6.69231E-02 1.11548E-03 1.11084E-02 1.22239E-02 8.16806E-04 0.165987 3 4 70.0 45.0 135.0 6.50395E-02 1.10192E-03 1.06883E-02 1.17902E-02 8.06874E-04 0.164336 3 7 70.0 90.0 90.0 7.27126E-02 1.09985E-03 1.16230E-02 1.27229E-02 8.05357E-04 0.159849 2 1 80.0 0.0 180.0 1.13703E-01 9.59927E-04 2.76121E-02 2.85720E-02 7.02902E-04 0.242843 2 4 80.0 45.0 135.0 1.05287E-01 9.46748E-04 2.67066E-02 2.76534E-02 6.93252E-04 0.253655 2 7 80.0 90.0 90.0 1.04604E-01 9.51705E-04 2.79691E-02 2.89208E-02 6.96882E-04 0.267382 1 1 87.5 0.0 180.0 1.83838E-01 7.77651E-04 4.86978E-02 4.94755E-02 5.69431E-04 0.264896 1 4 87.5 45.0 135.0 1.65523E-01 7.31272E-04 4.83971E-02 4.91284E-02 5.35471E-04 0.292389 1 7 87.5 90.0 90.0 1.50590E-01 8.20217E-04 4.95313E-02 5.03515E-02 6.00600E-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 8.698E-03 9.716E-02 1.167E-01 1.005E-01 1.509E-01 6.369E-03 5.583E+00 1.104E-03 8.083E-04 1 0.00 0.00 2.048E-03 1.808E-01 4.622E-03 5.752E-03 9.062E-03 1.545E-03 4.258E+00 3 3.73 5.00 4.137E-04 1.116E-01 1.102E-03 1.530E-03 2.765E-03 1.692E-03 4.409E+00 5 7.46 10.00 8.875E-05 3.180E-02 2.312E-04 3.107E-04 5.181E-04 2.050E-03 4.277E+00 Waveband 26 of 40 completed in 4.3 sec. * * * * * Output for wavelength band 27 (610.0 to 620.0 nm; nominal wavelength = 615.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 36.8 m at 615.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 610.0 nm to 620.0 nm: Ed(diffuse) = 3.486E-01 Ed(direct) = 9.845E-01 Ed(total) = 1.333E+00 Absorption Coefficients of Individual Components at 615.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2678 0.0268 0.0018 0.2964 3 3.736 5.000 0.2678 0.0268 0.0018 0.2964 5 7.472 10.000 0.2678 0.0268 0.0018 0.2964 Scattering Coefficients of Individual Components at 615.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0012 0.4497 0.0000 0.4508 3 3.736 5.000 0.0012 0.4497 0.0000 0.4508 5 7.472 10.000 0.0012 0.4497 0.0000 0.4508 Backscattering Coefficients of Individual Components at 615.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00059 0.00450 0.00000 0.00509 3 3.736 5.000 0.00059 0.00450 0.00000 0.00509 5 7.472 10.000 0.00059 0.00450 0.00000 0.00509 Summary of Inherent Optical Properties at 615.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2964 0.4508 0.7472 0.6034 0.00509 0.01128 3 3.736 5.000 0.2964 0.4508 0.7472 0.6034 0.00509 0.01128 5 7.472 10.000 0.2964 0.4508 0.7472 0.6034 0.00509 0.01128 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.6003E-01 8 20.00 5.7789E-01 7 30.00 3.1669E-01 6 40.00 1.5189E-01 5 50.00 6.8674E-02 4 60.00 3.1306E-02 3 70.00 1.5121E-02 2 80.00 7.9796E-03 1 87.50 5.2274E-03 1 92.50 4.0040E-03 2 100.00 2.8953E-03 3 110.00 2.0355E-03 4 120.00 1.5541E-03 5 130.00 1.2815E-03 6 140.00 1.1258E-03 7 150.00 1.0374E-03 8 160.00 9.8897E-04 9 170.00 9.6500E-04 10 180.00 9.5678E-04 Asymptotic AOP values are MUu(inf) = 0.3713 MUd(inf) = 0.8475 MU(inf) = 0.8296 R(inf) = 0.0065 Lu(inf)/Ed(inf) = 0.001414 (1/sr) k(inf) = 0.3573 (1/m) absorp(check) = 0.2964 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 615.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.2872E-01 1.8420E+00 1.9707E+00 4.7093E-02 1.3331E+00 0.3659 0.7237 0.6526 3.5326E-02 1 0.00 0.00 2.0315E-02 1.4481E+00 1.4684E+00 8.0393E-03 1.2940E+00 0.3957 0.8936 0.8758 6.2125E-03 3 3.74 5.00 4.1837E-03 2.6587E-01 2.7005E-01 1.6007E-03 2.2759E-01 0.3826 0.8560 0.8368 7.0333E-03 5 7.47 10.00 8.1844E-04 4.5558E-02 4.6376E-02 3.1961E-04 3.8494E-02 0.3905 0.8450 0.8231 8.3027E-03 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 0.25621 0.31445 0.31365 0.29497 0.33789 0.33816 0.32327 5.000 5.010 5.005 0.33018 0.34913 0.34884 0.32938 0.35307 0.35323 0.32757 10.000 10.010 10.005 0.31822 0.35521 0.35456 0.31097 0.35695 0.35733 0.29979 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 1.01580E-03 7.40839E-03 8.42419E-03 7.61975E-04 0.078756 9 1 10.0 0.0 180.0 5.80437E-02 1.04396E-03 2.14110E-03 3.18506E-03 7.83105E-04 0.036888 9 4 10.0 45.0 135.0 6.37743E-02 1.03511E-03 2.49030E-03 3.52541E-03 7.76465E-04 0.039049 9 7 10.0 90.0 90.0 8.61644E-02 1.02297E-03 5.30490E-03 6.32788E-03 7.67361E-04 0.061567 8 1 20.0 0.0 180.0 4.55925E-02 1.06020E-03 1.11611E-03 2.17631E-03 7.95282E-04 0.024480 8 4 20.0 45.0 135.0 5.07567E-02 1.04208E-03 1.31899E-03 2.36107E-03 7.81692E-04 0.025986 8 7 20.0 90.0 90.0 7.46354E-02 1.02507E-03 3.06243E-03 4.08749E-03 7.68930E-04 0.041032 7 1 30.0 0.0 180.0 3.95312E-02 1.08058E-03 9.51604E-04 2.03218E-03 8.10570E-04 0.024072 7 4 30.0 45.0 135.0 4.38298E-02 1.06847E-03 1.06931E-03 2.13778E-03 8.01484E-04 0.024397 7 7 30.0 90.0 90.0 6.38979E-02 1.04132E-03 1.86611E-03 2.90743E-03 7.81120E-04 0.029205 6 1 40.0 0.0 180.0 3.75225E-02 1.09521E-03 1.05807E-03 2.15327E-03 8.21545E-04 0.028198 6 4 40.0 45.0 135.0 4.10289E-02 1.07868E-03 1.14754E-03 2.22622E-03 8.09146E-04 0.027969 6 7 40.0 90.0 90.0 5.76039E-02 1.04990E-03 1.66399E-03 2.71389E-03 7.87556E-04 0.028887 5 1 50.0 0.0 180.0 3.93411E-02 1.11360E-03 1.67139E-03 2.78499E-03 8.35341E-04 0.042485 5 4 50.0 45.0 135.0 4.19233E-02 1.08974E-03 1.74128E-03 2.83102E-03 8.17440E-04 0.041535 5 7 50.0 90.0 90.0 5.57265E-02 1.06397E-03 2.25115E-03 3.31512E-03 7.98115E-04 0.040396 4 1 60.0 0.0 180.0 4.66985E-02 1.10161E-03 3.89357E-03 4.99518E-03 8.26348E-04 0.083377 4 4 60.0 45.0 135.0 4.77554E-02 1.07589E-03 3.84482E-03 4.92071E-03 8.07054E-04 0.080511 4 7 60.0 90.0 90.0 5.89717E-02 1.06672E-03 4.48988E-03 5.55661E-03 8.00177E-04 0.076136 3 1 70.0 0.0 180.0 6.47946E-02 1.02667E-03 1.07551E-02 1.17817E-02 7.70132E-04 0.165987 3 4 70.0 45.0 135.0 6.29709E-02 1.01402E-03 1.03484E-02 1.13624E-02 7.60646E-04 0.164336 3 7 70.0 90.0 90.0 7.03999E-02 1.01206E-03 1.12534E-02 1.22654E-02 7.59176E-04 0.159849 2 1 80.0 0.0 180.0 1.10087E-01 8.83502E-04 2.67339E-02 2.76174E-02 6.62739E-04 0.242843 2 4 80.0 45.0 135.0 1.01938E-01 8.71261E-04 2.58572E-02 2.67285E-02 6.53556E-04 0.253655 2 7 80.0 90.0 90.0 1.01277E-01 8.75902E-04 2.70795E-02 2.79554E-02 6.57038E-04 0.267382 1 1 87.5 0.0 180.0 1.77990E-01 7.15773E-04 4.71489E-02 4.78647E-02 5.36921E-04 0.264896 1 4 87.5 45.0 135.0 1.60258E-01 6.73029E-04 4.68578E-02 4.75308E-02 5.04857E-04 0.292389 1 7 87.5 90.0 90.0 1.45800E-01 7.55096E-04 4.79559E-02 4.87110E-02 5.66417E-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 8.424E-03 9.407E-02 1.129E-01 9.726E-02 1.461E-01 6.319E-03 5.590E+00 1.016E-03 7.620E-04 1 0.00 0.00 1.885E-03 1.750E-01 4.279E-03 5.339E-03 8.447E-03 1.457E-03 4.265E+00 3 3.74 5.00 3.632E-04 1.032E-01 9.675E-04 1.347E-03 2.443E-03 1.596E-03 4.407E+00 5 7.47 10.00 7.496E-05 2.826E-02 1.940E-04 2.611E-04 4.363E-04 1.947E-03 4.263E+00 Waveband 27 of 40 completed in 4.1 sec. * * * * * Output for wavelength band 28 (620.0 to 630.0 nm; nominal wavelength = 625.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 36.4 m at 625.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 620.0 nm to 630.0 nm: Ed(diffuse) = 3.421E-01 Ed(direct) = 9.764E-01 Ed(total) = 1.319E+00 Absorption Coefficients of Individual Components at 625.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2834 0.0299 0.0015 0.3148 3 3.792 5.000 0.2834 0.0299 0.0015 0.3148 5 7.584 10.000 0.2834 0.0299 0.0015 0.3148 Scattering Coefficients of Individual Components at 625.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0011 0.4425 0.0000 0.4436 3 3.792 5.000 0.0011 0.4425 0.0000 0.4436 5 7.584 10.000 0.0011 0.4425 0.0000 0.4436 Backscattering Coefficients of Individual Components at 625.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00055 0.00442 0.00000 0.00498 3 3.792 5.000 0.00055 0.00442 0.00000 0.00498 5 7.584 10.000 0.00055 0.00442 0.00000 0.00498 Summary of Inherent Optical Properties at 625.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3148 0.4436 0.7584 0.5849 0.00498 0.01122 3 3.792 5.000 0.3148 0.4436 0.7584 0.5849 0.00498 0.01122 5 7.584 10.000 0.3148 0.4436 0.7584 0.5849 0.00498 0.01122 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.5338E-01 8 20.00 5.6227E-01 7 30.00 3.0000E-01 6 40.00 1.3993E-01 5 50.00 6.1763E-02 4 60.00 2.7677E-02 3 70.00 1.3234E-02 2 80.00 6.9492E-03 1 87.50 4.5455E-03 1 92.50 3.4832E-03 2 100.00 2.5193E-03 3 110.00 1.7723E-03 4 120.00 1.3552E-03 5 130.00 1.1196E-03 6 140.00 9.8547E-04 7 150.00 9.0977E-04 8 160.00 8.6845E-04 9 170.00 8.4813E-04 10 180.00 8.4117E-04 Asymptotic AOP values are MUu(inf) = 0.3720 MUd(inf) = 0.8532 MU(inf) = 0.8367 R(inf) = 0.0060 Lu(inf)/Ed(inf) = 0.001295 (1/sr) k(inf) = 0.3763 (1/m) absorp(check) = 0.3149 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 625.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.2614E-01 1.8196E+00 1.9457E+00 4.6199E-02 1.3185E+00 0.3663 0.7246 0.6539 3.5038E-02 1 0.00 0.00 1.8451E-02 1.4308E+00 1.4493E+00 7.2810E-03 1.2796E+00 0.3946 0.8943 0.8779 5.6900E-03 3 3.79 5.00 3.4279E-03 2.3679E-01 2.4021E-01 1.3123E-03 2.0338E-01 0.3828 0.8589 0.8412 6.4527E-03 5 7.58 10.00 6.1844E-04 3.6677E-02 3.7295E-02 2.4313E-04 3.1131E-02 0.3931 0.8488 0.8282 7.8100E-03 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 0.27678 0.33529 0.33454 0.31552 0.35815 0.35839 0.34332 5.000 5.010 5.005 0.34919 0.36959 0.36930 0.34761 0.37319 0.37335 0.34455 10.000 10.010 10.005 0.33066 0.37515 0.37441 0.32167 0.37675 0.37718 0.30802 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 625.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 9.23208E-02 9.19195E-04 7.32262E-03 8.24182E-03 6.97139E-04 0.079317 9 1 10.0 0.0 180.0 5.69657E-02 9.44947E-04 2.10829E-03 3.05323E-03 7.16670E-04 0.037010 9 4 10.0 45.0 135.0 6.25899E-02 9.36835E-04 2.45300E-03 3.38984E-03 7.10517E-04 0.039192 9 7 10.0 90.0 90.0 8.45642E-02 9.25615E-04 5.23844E-03 6.16406E-03 7.02008E-04 0.061946 8 1 20.0 0.0 180.0 4.47458E-02 9.59721E-04 1.09573E-03 2.05546E-03 7.27875E-04 0.024488 8 4 20.0 45.0 135.0 4.98141E-02 9.43148E-04 1.29540E-03 2.23855E-03 7.15305E-04 0.026005 8 7 20.0 90.0 90.0 7.32493E-02 9.27366E-04 3.01775E-03 3.94511E-03 7.03336E-04 0.041198 7 1 30.0 0.0 180.0 3.87970E-02 9.78192E-04 9.33930E-04 1.91212E-03 7.41883E-04 0.024072 7 4 30.0 45.0 135.0 4.30160E-02 9.66981E-04 1.04950E-03 2.01648E-03 7.33381E-04 0.024398 7 7 30.0 90.0 90.0 6.27096E-02 9.41889E-04 1.83385E-03 2.77574E-03 7.14351E-04 0.029244 6 1 40.0 0.0 180.0 3.68257E-02 9.91353E-04 1.03842E-03 2.02977E-03 7.51865E-04 0.028198 6 4 40.0 45.0 135.0 4.02669E-02 9.76071E-04 1.12623E-03 2.10230E-03 7.40275E-04 0.027969 6 7 40.0 90.0 90.0 5.65341E-02 9.49378E-04 1.63324E-03 2.58262E-03 7.20030E-04 0.028890 5 1 50.0 0.0 180.0 3.86105E-02 1.00786E-03 1.64035E-03 2.64821E-03 7.64387E-04 0.042485 5 4 50.0 45.0 135.0 4.11447E-02 9.85902E-04 1.70894E-03 2.69484E-03 7.47731E-04 0.041535 5 7 50.0 90.0 90.0 5.46915E-02 9.61911E-04 2.20934E-03 3.17125E-03 7.29536E-04 0.040396 4 1 60.0 0.0 180.0 4.58313E-02 9.96866E-04 3.82126E-03 4.81812E-03 7.56047E-04 0.083377 4 4 60.0 45.0 135.0 4.68685E-02 9.73207E-04 3.77342E-03 4.74663E-03 7.38103E-04 0.080511 4 7 60.0 90.0 90.0 5.78765E-02 9.64240E-04 4.40650E-03 5.37074E-03 7.31303E-04 0.076136 3 1 70.0 0.0 180.0 6.35912E-02 9.28908E-04 1.05553E-02 1.14842E-02 7.04505E-04 0.165987 3 4 70.0 45.0 135.0 6.18014E-02 9.17108E-04 1.01562E-02 1.10733E-02 6.95556E-04 0.164336 3 7 70.0 90.0 90.0 6.90925E-02 9.14791E-04 1.10444E-02 1.19592E-02 6.93799E-04 0.159849 2 1 80.0 0.0 180.0 1.08042E-01 7.99285E-04 2.62374E-02 2.70367E-02 6.06196E-04 0.242843 2 4 80.0 45.0 135.0 1.00045E-01 7.87916E-04 2.53770E-02 2.61649E-02 5.97574E-04 0.253655 2 7 80.0 90.0 90.0 9.93957E-02 7.91747E-04 2.65766E-02 2.73684E-02 6.00480E-04 0.267382 1 1 87.5 0.0 180.0 1.74685E-01 6.47512E-04 4.62733E-02 4.69208E-02 4.91089E-04 0.264896 1 4 87.5 45.0 135.0 1.57282E-01 6.08642E-04 4.59876E-02 4.65962E-02 4.61608E-04 0.292389 1 7 87.5 90.0 90.0 1.43092E-01 6.82672E-04 4.70653E-02 4.77479E-02 5.17754E-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 8.242E-03 9.232E-02 1.108E-01 9.542E-02 1.433E-01 6.251E-03 5.605E+00 9.192E-04 6.971E-04 1 0.00 0.00 1.706E-03 1.718E-01 3.903E-03 4.884E-03 7.765E-03 1.333E-03 4.269E+00 3 3.79 5.00 2.990E-04 9.207E-02 7.921E-04 1.105E-03 2.008E-03 1.470E-03 4.389E+00 5 7.58 10.00 5.779E-05 2.302E-02 1.456E-04 1.952E-04 3.249E-04 1.856E-03 4.207E+00 Waveband 28 of 40 completed in 4.1 sec. * * * * * Output for wavelength band 29 (630.0 to 640.0 nm; nominal wavelength = 635.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 35.9 m at 635.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 630.0 nm to 640.0 nm: Ed(diffuse) = 3.354E-01 Ed(direct) = 9.668E-01 Ed(total) = 1.302E+00 Absorption Coefficients of Individual Components at 635.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3012 0.0340 0.0013 0.3366 3 3.865 5.000 0.3012 0.0340 0.0013 0.3366 5 7.731 10.000 0.3012 0.0340 0.0013 0.3366 Scattering Coefficients of Individual Components at 635.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0010 0.4355 0.0000 0.4365 3 3.865 5.000 0.0010 0.4355 0.0000 0.4365 5 7.731 10.000 0.0010 0.4355 0.0000 0.4365 Backscattering Coefficients of Individual Components at 635.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00051 0.00435 0.00000 0.00487 3 3.865 5.000 0.00051 0.00435 0.00000 0.00487 5 7.731 10.000 0.00051 0.00435 0.00000 0.00487 Summary of Inherent Optical Properties at 635.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3366 0.4365 0.7731 0.5646 0.00487 0.01115 3 3.865 5.000 0.3366 0.4365 0.7731 0.5646 0.00487 0.01115 5 7.731 10.000 0.3366 0.4365 0.7731 0.5646 0.00487 0.01115 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.4584E-01 8 20.00 5.4501E-01 7 30.00 2.8219E-01 6 40.00 1.2763E-01 5 50.00 5.4898E-02 4 60.00 2.4167E-02 3 70.00 1.1442E-02 2 80.00 5.9808E-03 1 87.50 3.9075E-03 1 92.50 2.9964E-03 2 100.00 2.1682E-03 3 110.00 1.5268E-03 4 120.00 1.1695E-03 5 130.00 9.6827E-04 6 140.00 8.5415E-04 7 150.00 7.9006E-04 8 160.00 7.5530E-04 9 170.00 7.3830E-04 10 180.00 7.3250E-04 Asymptotic AOP values are MUu(inf) = 0.3729 MUd(inf) = 0.8591 MU(inf) = 0.8441 R(inf) = 0.0054 Lu(inf)/Ed(inf) = 0.001180 (1/sr) k(inf) = 0.3988 (1/m) absorp(check) = 0.3366 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 635.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.2347E-01 1.7950E+00 1.9184E+00 4.5270E-02 1.3022E+00 0.3666 0.7255 0.6552 3.4763E-02 1 0.00 0.00 1.6650E-02 1.4117E+00 1.4284E+00 6.5533E-03 1.2635E+00 0.3936 0.8950 0.8800 5.1865E-03 3 3.87 5.00 2.7510E-03 2.0680E-01 2.0955E-01 1.0557E-03 1.7824E-01 0.3837 0.8619 0.8455 5.9228E-03 5 7.73 10.00 4.5933E-04 2.8451E-02 2.8910E-02 1.8300E-04 2.4258E-02 0.3984 0.8526 0.8328 7.5439E-03 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 0.30090 0.35979 0.35911 0.33943 0.38203 0.38225 0.36647 5.000 5.010 5.005 0.36999 0.39363 0.39332 0.36709 0.39689 0.39707 0.36183 10.000 10.010 10.005 0.33897 0.39849 0.39754 0.32689 0.40000 0.40055 0.30899 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 635.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 9.05048E-02 8.27085E-04 7.22775E-03 8.05483E-03 6.35123E-04 0.079860 9 1 10.0 0.0 180.0 5.58452E-02 8.50474E-04 2.07342E-03 2.92389E-03 6.53084E-04 0.037128 9 4 10.0 45.0 135.0 6.13587E-02 8.43085E-04 2.41324E-03 3.25633E-03 6.47410E-04 0.039330 9 7 10.0 90.0 90.0 8.29008E-02 8.32782E-04 5.16582E-03 5.99860E-03 6.39498E-04 0.062313 8 1 20.0 0.0 180.0 4.38656E-02 8.63817E-04 1.07451E-03 1.93833E-03 6.63330E-04 0.024496 8 4 20.0 45.0 135.0 4.88342E-02 8.48749E-04 1.27079E-03 2.11954E-03 6.51759E-04 0.026022 8 7 20.0 90.0 90.0 7.18084E-02 8.34207E-04 2.96995E-03 3.80416E-03 6.40592E-04 0.041359 7 1 30.0 0.0 180.0 3.80338E-02 8.80430E-04 9.15559E-04 1.79599E-03 6.76087E-04 0.024072 7 4 30.0 45.0 135.0 4.21701E-02 8.70125E-04 1.02889E-03 1.89902E-03 6.68174E-04 0.024399 7 7 30.0 90.0 90.0 6.14745E-02 8.47081E-04 1.80005E-03 2.64714E-03 6.50478E-04 0.029281 6 1 40.0 0.0 180.0 3.61013E-02 8.92152E-04 1.01799E-03 1.91014E-03 6.85089E-04 0.028198 6 4 40.0 45.0 135.0 3.94748E-02 8.78116E-04 1.10408E-03 1.98219E-03 6.74310E-04 0.027969 6 7 40.0 90.0 90.0 5.54220E-02 8.53514E-04 1.60126E-03 2.45478E-03 6.55418E-04 0.028892 5 1 50.0 0.0 180.0 3.78510E-02 9.06838E-04 1.60808E-03 2.51492E-03 6.96366E-04 0.042485 5 4 50.0 45.0 135.0 4.03354E-02 8.86755E-04 1.67533E-03 2.56208E-03 6.80944E-04 0.041535 5 7 50.0 90.0 90.0 5.36157E-02 8.64542E-04 2.16588E-03 3.03043E-03 6.63887E-04 0.040396 4 1 60.0 0.0 180.0 4.49297E-02 8.96763E-04 3.74609E-03 4.64285E-03 6.88629E-04 0.083377 4 4 60.0 45.0 135.0 4.59466E-02 8.75133E-04 3.69919E-03 4.57433E-03 6.72020E-04 0.080511 4 7 60.0 90.0 90.0 5.67380E-02 8.66430E-04 4.31982E-03 5.18625E-03 6.65336E-04 0.076136 3 1 70.0 0.0 180.0 6.23404E-02 8.35449E-04 1.03477E-02 1.11831E-02 6.41546E-04 0.165987 3 4 70.0 45.0 135.0 6.05857E-02 8.24508E-04 9.95640E-03 1.07809E-02 6.33144E-04 0.164336 3 7 70.0 90.0 90.0 6.77334E-02 8.21880E-04 1.08271E-02 1.16490E-02 6.31127E-04 0.159849 2 1 80.0 0.0 180.0 1.05917E-01 7.18745E-04 2.57213E-02 2.64400E-02 5.51928E-04 0.242843 2 4 80.0 45.0 135.0 9.80772E-02 7.08246E-04 2.48778E-02 2.55861E-02 5.43866E-04 0.253655 2 7 80.0 90.0 90.0 9.74406E-02 7.11299E-04 2.60538E-02 2.67651E-02 5.46211E-04 0.267382 1 1 87.5 0.0 180.0 1.71249E-01 5.82203E-04 4.53631E-02 4.59453E-02 4.47077E-04 0.264896 1 4 87.5 45.0 135.0 1.54188E-01 5.47060E-04 4.50830E-02 4.56300E-02 4.20090E-04 0.292389 1 7 87.5 90.0 90.0 1.40277E-01 6.13364E-04 4.61395E-02 4.67528E-02 4.71005E-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 8.055E-03 9.050E-02 1.086E-01 9.352E-02 1.405E-01 6.185E-03 5.620E+00 8.271E-04 6.351E-04 1 0.00 0.00 1.535E-03 1.684E-01 3.539E-03 4.441E-03 7.093E-03 1.215E-03 4.270E+00 3 3.87 5.00 2.422E-04 8.064E-02 6.342E-04 8.852E-04 1.610E-03 1.359E-03 4.358E+00 5 7.73 10.00 4.455E-05 1.810E-02 1.066E-04 1.417E-04 2.334E-04 1.837E-03 4.108E+00 Waveband 29 of 40 completed in 4.0 sec. * * * * * Output for wavelength band 30 (640.0 to 650.0 nm; nominal wavelength = 645.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 35.4 m at 645.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 640.0 nm to 650.0 nm: Ed(diffuse) = 3.226E-01 Ed(direct) = 9.388E-01 Ed(total) = 1.261E+00 Absorption Coefficients of Individual Components at 645.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3250 0.0330 0.0012 0.3592 3 3.944 5.000 0.3250 0.0330 0.0012 0.3592 5 7.889 10.000 0.3250 0.0330 0.0012 0.3592 Scattering Coefficients of Individual Components at 645.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0010 0.4287 0.0000 0.4297 3 3.944 5.000 0.0010 0.4287 0.0000 0.4297 5 7.889 10.000 0.0010 0.4287 0.0000 0.4297 Backscattering Coefficients of Individual Components at 645.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00048 0.00429 0.00000 0.00477 3 3.944 5.000 0.00048 0.00429 0.00000 0.00477 5 7.889 10.000 0.00048 0.00429 0.00000 0.00477 Summary of Inherent Optical Properties at 645.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3592 0.4297 0.7889 0.5447 0.00477 0.01110 3 3.944 5.000 0.3592 0.4297 0.7889 0.5447 0.00477 0.01110 5 7.889 10.000 0.3592 0.4297 0.7889 0.5447 0.00477 0.01110 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.3811E-01 8 20.00 5.2777E-01 7 30.00 2.6506E-01 6 40.00 1.1626E-01 5 50.00 4.8769E-02 4 60.00 2.1116E-02 3 70.00 9.9100E-03 2 80.00 5.1613E-03 1 87.50 3.3694E-03 1 92.50 2.5861E-03 2 100.00 1.8725E-03 3 110.00 1.3199E-03 4 120.00 1.0128E-03 5 130.00 8.4029E-04 6 140.00 7.4280E-04 7 150.00 6.8833E-04 8 160.00 6.5898E-04 9 170.00 6.4472E-04 10 180.00 6.3986E-04 Asymptotic AOP values are MUu(inf) = 0.3738 MUd(inf) = 0.8648 MU(inf) = 0.8510 R(inf) = 0.0049 Lu(inf)/Ed(inf) = 0.001078 (1/sr) k(inf) = 0.4221 (1/m) absorp(check) = 0.3592 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 645.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.1864E-01 1.7368E+00 1.8555E+00 4.3546E-02 1.2614E+00 0.3670 0.7263 0.6564 3.4521E-02 1 0.00 0.00 1.4799E-02 1.3663E+00 1.3811E+00 5.8127E-03 1.2237E+00 0.3928 0.8956 0.8818 4.7500E-03 3 3.94 5.00 2.1759E-03 1.7636E-01 1.7853E-01 8.3855E-04 1.5250E-01 0.3854 0.8647 0.8495 5.4988E-03 5 7.89 10.00 3.4284E-04 2.1464E-02 2.1807E-02 1.3919E-04 1.8376E-02 0.4060 0.8561 0.8363 7.5742E-03 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 0.32598 0.38528 0.38465 0.36392 0.40687 0.40708 0.38995 5.000 5.010 5.005 0.38951 0.41854 0.41818 0.38477 0.42149 0.42169 0.37661 10.000 10.010 10.005 0.34016 0.42251 0.42121 0.32434 0.42402 0.42478 0.30191 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 645.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 8.70599E-02 7.33783E-04 6.99727E-03 7.73105E-03 5.81703E-04 0.080373 9 1 10.0 0.0 180.0 5.37195E-02 7.54668E-04 2.00049E-03 2.75516E-03 5.98259E-04 0.037239 9 4 10.0 45.0 135.0 5.90232E-02 7.48053E-04 2.32910E-03 3.07715E-03 5.93015E-04 0.039461 9 7 10.0 90.0 90.0 7.97453E-02 7.38772E-04 4.99681E-03 5.73558E-03 5.85658E-04 0.062660 8 1 20.0 0.0 180.0 4.21959E-02 7.66516E-04 1.03392E-03 1.80043E-03 6.07652E-04 0.024503 8 4 20.0 45.0 135.0 4.69754E-02 7.53045E-04 1.22320E-03 1.97625E-03 5.96972E-04 0.026039 8 7 20.0 90.0 90.0 6.90751E-02 7.39911E-04 2.86741E-03 3.60732E-03 5.86560E-04 0.041511 7 1 30.0 0.0 180.0 3.65861E-02 7.81220E-04 8.80710E-04 1.66193E-03 6.19308E-04 0.024072 7 4 30.0 45.0 135.0 4.05652E-02 7.71933E-04 9.89768E-04 1.76170E-03 6.11946E-04 0.024399 7 7 30.0 90.0 90.0 5.91332E-02 7.51167E-04 1.73360E-03 2.48477E-03 5.95484E-04 0.029317 6 1 40.0 0.0 180.0 3.47272E-02 7.91489E-04 9.79240E-04 1.77073E-03 6.27449E-04 0.028198 6 4 40.0 45.0 135.0 3.79723E-02 7.78844E-04 1.06205E-03 1.84090E-03 6.17424E-04 0.027969 6 7 40.0 90.0 90.0 5.33125E-02 7.56608E-04 1.54045E-03 2.29706E-03 5.99797E-04 0.028895 5 1 50.0 0.0 180.0 3.64103E-02 8.04352E-04 1.54687E-03 2.35123E-03 6.37646E-04 0.042485 5 4 50.0 45.0 135.0 3.88001E-02 7.86316E-04 1.61156E-03 2.39787E-03 6.23347E-04 0.041535 5 7 50.0 90.0 90.0 5.15749E-02 7.66160E-04 2.08344E-03 2.84960E-03 6.07369E-04 0.040396 4 1 60.0 0.0 180.0 4.32196E-02 7.95242E-04 3.60350E-03 4.39874E-03 6.30423E-04 0.083377 4 4 60.0 45.0 135.0 4.41977E-02 7.75819E-04 3.55839E-03 4.33421E-03 6.15026E-04 0.080511 4 7 60.0 90.0 90.0 5.45784E-02 7.67627E-04 4.15539E-03 4.92302E-03 6.08532E-04 0.076136 3 1 70.0 0.0 180.0 5.99675E-02 7.40694E-04 9.95383E-03 1.06945E-02 5.87181E-04 0.165987 3 4 70.0 45.0 135.0 5.82796E-02 7.30760E-04 9.57743E-03 1.03082E-02 5.79306E-04 0.164336 3 7 70.0 90.0 90.0 6.51552E-02 7.28008E-04 1.04150E-02 1.11430E-02 5.77125E-04 0.159849 2 1 80.0 0.0 180.0 1.01886E-01 6.37101E-04 2.47423E-02 2.53794E-02 5.05059E-04 0.242843 2 4 80.0 45.0 135.0 9.43441E-02 6.27595E-04 2.39309E-02 2.45585E-02 4.97523E-04 0.253655 2 7 80.0 90.0 90.0 9.37317E-02 6.29980E-04 2.50621E-02 2.56921E-02 4.99413E-04 0.267382 1 1 87.5 0.0 180.0 1.64730E-01 5.15994E-04 4.36364E-02 4.41524E-02 4.09051E-04 0.264896 1 4 87.5 45.0 135.0 1.48319E-01 4.84704E-04 4.33670E-02 4.38517E-02 3.84247E-04 0.292389 1 7 87.5 90.0 90.0 1.34938E-01 5.43237E-04 4.43833E-02 4.49265E-02 4.30648E-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 7.731E-03 8.706E-02 1.044E-01 8.993E-02 1.351E-01 6.129E-03 5.633E+00 7.338E-04 5.817E-04 1 0.00 0.00 1.362E-03 1.620E-01 3.162E-03 3.975E-03 6.374E-03 1.113E-03 4.269E+00 3 3.94 5.00 1.943E-04 6.897E-02 4.995E-04 6.963E-04 1.265E-03 1.274E-03 4.315E+00 5 7.89 10.00 3.493E-05 1.383E-02 7.789E-05 1.020E-04 1.652E-04 1.901E-03 3.985E+00 Waveband 30 of 40 completed in 4.2 sec. * * * * * Output for wavelength band 31 (650.0 to 660.0 nm; nominal wavelength = 655.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 34.0 m at 655.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 650.0 nm to 660.0 nm: Ed(diffuse) = 3.062E-01 Ed(direct) = 8.991E-01 Ed(total) = 1.205E+00 Absorption Coefficients of Individual Components at 655.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3710 0.0392 0.0010 0.4112 3 4.171 5.000 0.3710 0.0392 0.0010 0.4112 5 8.343 10.000 0.3710 0.0392 0.0010 0.4112 Scattering Coefficients of Individual Components at 655.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0009 0.4222 0.0000 0.4231 3 4.171 5.000 0.0009 0.4222 0.0000 0.4231 5 8.343 10.000 0.0009 0.4222 0.0000 0.4231 Backscattering Coefficients of Individual Components at 655.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00045 0.00422 0.00000 0.00467 3 4.171 5.000 0.00045 0.00422 0.00000 0.00467 5 8.343 10.000 0.00045 0.00422 0.00000 0.00467 Summary of Inherent Optical Properties at 655.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.4112 0.4231 0.8343 0.5071 0.00467 0.01104 3 4.171 5.000 0.4112 0.4231 0.8343 0.5071 0.00467 0.01104 5 8.343 10.000 0.4112 0.4231 0.8343 0.5071 0.00467 0.01104 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.2258E-01 8 20.00 4.9458E-01 7 30.00 2.3390E-01 6 40.00 9.6739E-02 5 50.00 3.8759E-02 4 60.00 1.6311E-02 3 70.00 7.5524E-03 2 80.00 3.9158E-03 1 87.50 2.5561E-03 1 92.50 1.9663E-03 2 100.00 1.4264E-03 3 110.00 1.0084E-03 4 120.00 7.7698E-04 5 130.00 6.4751E-04 6 140.00 5.7489E-04 7 150.00 5.3473E-04 8 160.00 5.1337E-04 9 170.00 5.0313E-04 10 180.00 4.9965E-04 Asymptotic AOP values are MUu(inf) = 0.3758 MUd(inf) = 0.8750 MU(inf) = 0.8632 R(inf) = 0.0041 Lu(inf)/Ed(inf) = 0.000916 (1/sr) k(inf) = 0.4764 (1/m) absorp(check) = 0.4112 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 655.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.1235E-01 1.6578E+00 1.7702E+00 4.1266E-02 1.2053E+00 0.3673 0.7271 0.6576 3.4236E-02 1 0.00 0.00 1.2395E-02 1.3040E+00 1.3164E+00 4.8795E-03 1.1689E+00 0.3937 0.8964 0.8843 4.1742E-03 3 4.17 5.00 1.5109E-03 1.2585E-01 1.2736E-01 6.0132E-04 1.0937E-01 0.3980 0.8690 0.8540 5.4981E-03 5 8.34 10.00 2.6364E-04 1.1617E-02 1.1881E-02 1.1534E-04 9.9801E-03 0.4375 0.8591 0.8303 1.1557E-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 0.37837 0.44378 0.44317 0.41250 0.46433 0.46455 0.43385 5.000 5.010 5.005 0.40498 0.47564 0.47480 0.39156 0.47826 0.47874 0.37261 10.000 10.010 10.005 0.28514 0.47500 0.47078 0.26507 0.47781 0.48030 0.24244 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 655.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 8.26289E-02 6.21247E-04 6.68238E-03 7.30363E-03 5.15413E-04 0.080872 9 1 10.0 0.0 180.0 5.09854E-02 6.38721E-04 1.90421E-03 2.54293E-03 5.29911E-04 0.037348 9 4 10.0 45.0 135.0 5.60192E-02 6.33164E-04 2.21768E-03 2.85084E-03 5.25300E-04 0.039588 9 7 10.0 90.0 90.0 7.56866E-02 6.25373E-04 4.76801E-03 5.39338E-03 5.18836E-04 0.062997 8 1 20.0 0.0 180.0 4.00483E-02 6.48481E-04 9.81576E-04 1.63006E-03 5.38008E-04 0.024510 8 4 20.0 45.0 135.0 4.45846E-02 6.37153E-04 1.16167E-03 1.79882E-03 5.28609E-04 0.026055 8 7 20.0 90.0 90.0 6.55595E-02 6.26110E-04 2.73118E-03 3.35729E-03 5.19448E-04 0.041660 7 1 30.0 0.0 180.0 3.47241E-02 6.60599E-04 8.35885E-04 1.49648E-03 5.48061E-04 0.024072 7 4 30.0 45.0 135.0 3.85009E-02 6.52833E-04 9.39428E-04 1.59226E-03 5.41619E-04 0.024400 7 7 30.0 90.0 90.0 5.61222E-02 6.35310E-04 1.64728E-03 2.28259E-03 5.27081E-04 0.029352 6 1 40.0 0.0 180.0 3.29597E-02 6.68771E-04 9.29401E-04 1.59817E-03 5.54841E-04 0.028198 6 4 40.0 45.0 135.0 3.60397E-02 6.58169E-04 1.00800E-03 1.66617E-03 5.46046E-04 0.027969 6 7 40.0 90.0 90.0 5.05991E-02 6.39289E-04 1.46217E-03 2.10146E-03 5.30382E-04 0.028897 5 1 50.0 0.0 180.0 3.45572E-02 6.79124E-04 1.46814E-03 2.14727E-03 5.63430E-04 0.042485 5 4 50.0 45.0 135.0 3.68253E-02 6.63942E-04 1.52954E-03 2.19348E-03 5.50835E-04 0.041535 5 7 50.0 90.0 90.0 4.89500E-02 6.46624E-04 1.97741E-03 2.62403E-03 5.36467E-04 0.040396 4 1 60.0 0.0 180.0 4.10199E-02 6.70896E-04 3.42010E-03 4.09099E-03 5.56604E-04 0.083377 4 4 60.0 45.0 135.0 4.19482E-02 6.54506E-04 3.37728E-03 4.03179E-03 5.43006E-04 0.080511 4 7 60.0 90.0 90.0 5.18006E-02 6.47061E-04 3.94390E-03 4.59096E-03 5.36830E-04 0.076136 3 1 70.0 0.0 180.0 5.69154E-02 6.24287E-04 9.44722E-03 1.00715E-02 5.17936E-04 0.165987 3 4 70.0 45.0 135.0 5.53134E-02 6.15836E-04 9.08998E-03 9.70581E-03 5.10924E-04 0.164336 3 7 70.0 90.0 90.0 6.18391E-02 6.12708E-04 9.88492E-03 1.04976E-02 5.08329E-04 0.159849 2 1 80.0 0.0 180.0 9.67001E-02 5.36493E-04 2.34830E-02 2.40195E-02 4.45098E-04 0.242843 2 4 80.0 45.0 135.0 8.95424E-02 5.28347E-04 2.27129E-02 2.32413E-02 4.38340E-04 0.253655 2 7 80.0 90.0 90.0 8.89611E-02 5.29439E-04 2.37866E-02 2.43160E-02 4.39245E-04 0.267382 1 1 87.5 0.0 180.0 1.56346E-01 4.34112E-04 4.14155E-02 4.18496E-02 3.60158E-04 0.264896 1 4 87.5 45.0 135.0 1.40771E-01 4.07633E-04 4.11598E-02 4.15674E-02 3.38190E-04 0.292389 1 7 87.5 90.0 90.0 1.28070E-01 4.55869E-04 4.21243E-02 4.25802E-02 3.78208E-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 7.304E-03 8.263E-02 9.910E-02 8.533E-02 1.282E-01 6.059E-03 5.650E+00 6.212E-04 5.154E-04 1 0.00 0.00 1.153E-03 1.537E-01 2.675E-03 3.355E-03 5.369E-03 9.862E-04 4.232E+00 3 4.17 5.00 1.462E-04 5.004E-02 3.374E-04 4.570E-04 8.021E-04 1.336E-03 4.114E+00 5 8.34 10.00 3.156E-05 7.713E-03 5.487E-05 6.574E-05 9.408E-05 3.163E-03 3.654E+00 Waveband 31 of 40 completed in 4.3 sec. * * * * * Output for wavelength band 32 (660.0 to 670.0 nm; nominal wavelength = 665.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 32.2 m at 665.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 660.0 nm to 670.0 nm: Ed(diffuse) = 3.168E-01 Ed(direct) = 9.381E-01 Ed(total) = 1.255E+00 Absorption Coefficients of Individual Components at 665.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.4290 0.0546 0.0009 0.4845 3 4.506 5.000 0.4290 0.0546 0.0009 0.4845 5 9.012 10.000 0.4290 0.0546 0.0009 0.4845 Scattering Coefficients of Individual Components at 665.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0008 0.4158 0.0000 0.4167 3 4.506 5.000 0.0008 0.4158 0.0000 0.4167 5 9.012 10.000 0.0008 0.4158 0.0000 0.4167 Backscattering Coefficients of Individual Components at 665.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00042 0.00416 0.00000 0.00458 3 4.506 5.000 0.00042 0.00416 0.00000 0.00458 5 9.012 10.000 0.00042 0.00416 0.00000 0.00458 Summary of Inherent Optical Properties at 665.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.4845 0.4167 0.9012 0.4624 0.00458 0.01099 3 4.506 5.000 0.4845 0.4167 0.9012 0.4624 0.00458 0.01099 5 9.012 10.000 0.4845 0.4167 0.9012 0.4624 0.00458 0.01099 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.0215E-01 8 20.00 4.5370E-01 7 30.00 1.9869E-01 6 40.00 7.6488E-02 5 50.00 2.9079E-02 4 60.00 1.1883E-02 3 70.00 5.4385E-03 2 80.00 2.8130E-03 1 87.50 1.8384E-03 1 92.50 1.4186E-03 2 100.00 1.0320E-03 3 110.00 7.3233E-04 4 120.00 5.6702E-04 5 130.00 4.7503E-04 6 140.00 4.2388E-04 7 150.00 3.9596E-04 8 160.00 3.8137E-04 9 170.00 3.7448E-04 10 180.00 3.7216E-04 Asymptotic AOP values are MUu(inf) = 0.3783 MUd(inf) = 0.8863 MU(inf) = 0.8765 R(inf) = 0.0034 Lu(inf)/Ed(inf) = 0.000757 (1/sr) k(inf) = 0.5528 (1/m) absorp(check) = 0.4846 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 665.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.1666E-01 1.7242E+00 1.8408E+00 4.2992E-02 1.2549E+00 0.3685 0.7278 0.6583 3.4260E-02 1 0.00 0.00 1.2728E-02 1.3572E+00 1.3700E+00 5.1671E-03 1.2170E+00 0.4060 0.8967 0.8846 4.2457E-03 3 4.51 5.00 1.8973E-03 8.8098E-02 8.9995E-02 8.3977E-04 7.6593E-02 0.4426 0.8694 0.8417 1.0964E-02 5 9.01 10.00 6.1133E-04 6.0315E-03 6.6429E-03 2.8891E-04 5.0001E-03 0.4726 0.8290 0.7092 5.7780E-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 0.41378 0.52591 0.52487 0.42899 0.54496 0.54546 0.43115 5.000 5.010 5.005 0.29832 0.55017 0.54485 0.27698 0.55468 0.55777 0.25497 10.000 10.010 10.005 0.18149 0.50817 0.47806 0.17576 0.52733 0.54893 0.17062 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 665.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 8.54737E-02 6.87710E-04 6.95328E-03 7.64099E-03 5.48040E-04 0.081350 9 1 10.0 0.0 180.0 5.27408E-02 7.04284E-04 1.97525E-03 2.67953E-03 5.61247E-04 0.037452 9 4 10.0 45.0 135.0 5.79479E-02 6.98999E-04 2.30109E-03 3.00008E-03 5.57036E-04 0.039710 9 7 10.0 90.0 90.0 7.82924E-02 6.92200E-04 4.95743E-03 5.64963E-03 5.51618E-04 0.063319 8 1 20.0 0.0 180.0 4.14272E-02 7.13066E-04 1.01565E-03 1.72871E-03 5.68246E-04 0.024516 8 4 20.0 45.0 135.0 4.61196E-02 7.02038E-04 1.20238E-03 1.90442E-03 5.59458E-04 0.026071 8 7 20.0 90.0 90.0 6.78167E-02 6.92653E-04 2.83482E-03 3.52747E-03 5.51979E-04 0.041801 7 1 30.0 0.0 180.0 3.59196E-02 7.24467E-04 8.64664E-04 1.58913E-03 5.77332E-04 0.024072 7 4 30.0 45.0 135.0 3.98266E-02 7.17918E-04 9.71806E-04 1.68972E-03 5.72113E-04 0.024401 7 7 30.0 90.0 90.0 5.80532E-02 7.02170E-04 1.70588E-03 2.40805E-03 5.59564E-04 0.029385 6 1 40.0 0.0 180.0 3.40945E-02 7.31060E-04 9.61399E-04 1.69246E-03 5.82586E-04 0.028198 6 4 40.0 45.0 135.0 3.72805E-02 7.21889E-04 1.04270E-03 1.76459E-03 5.75277E-04 0.027969 6 7 40.0 90.0 90.0 5.23412E-02 7.04913E-04 1.51264E-03 2.21755E-03 5.61749E-04 0.028900 5 1 50.0 0.0 180.0 3.57469E-02 7.40328E-04 1.51869E-03 2.25902E-03 5.89971E-04 0.042485 5 4 50.0 45.0 135.0 3.80932E-02 7.26286E-04 1.58220E-03 2.30848E-03 5.78781E-04 0.041535 5 7 50.0 90.0 90.0 5.06353E-02 7.10370E-04 2.04549E-03 2.75586E-03 5.66098E-04 0.040396 4 1 60.0 0.0 180.0 4.24322E-02 7.29264E-04 3.53785E-03 4.26711E-03 5.81154E-04 0.083377 4 4 60.0 45.0 135.0 4.33925E-02 7.13862E-04 3.49356E-03 4.20742E-03 5.68881E-04 0.080511 4 7 60.0 90.0 90.0 5.35840E-02 7.07671E-04 4.07969E-03 4.78736E-03 5.63947E-04 0.076136 3 1 70.0 0.0 180.0 5.88749E-02 6.76236E-04 9.77248E-03 1.04487E-02 5.38896E-04 0.165987 3 4 70.0 45.0 135.0 5.72178E-02 6.69005E-04 9.40294E-03 1.00719E-02 5.33134E-04 0.164336 3 7 70.0 90.0 90.0 6.39682E-02 6.65552E-04 1.02252E-02 1.08908E-02 5.30382E-04 0.159849 2 1 80.0 0.0 180.0 1.00029E-01 5.79076E-04 2.42915E-02 2.48706E-02 4.61469E-04 0.242843 2 4 80.0 45.0 135.0 9.26253E-02 5.71541E-04 2.34949E-02 2.40664E-02 4.55464E-04 0.253655 2 7 80.0 90.0 90.0 9.20240E-02 5.71130E-04 2.46055E-02 2.51767E-02 4.55137E-04 0.267382 1 1 87.5 0.0 180.0 1.61729E-01 4.66682E-04 4.28414E-02 4.33081E-02 3.71902E-04 0.264896 1 4 87.5 45.0 135.0 1.45617E-01 4.38853E-04 4.25769E-02 4.30157E-02 3.49724E-04 0.292389 1 7 87.5 90.0 90.0 1.32480E-01 4.87810E-04 4.35746E-02 4.40625E-02 3.88739E-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 7.641E-03 8.547E-02 1.025E-01 8.827E-02 1.326E-01 6.089E-03 5.626E+00 6.877E-04 5.480E-04 1 0.00 0.00 1.276E-03 1.590E-01 2.754E-03 3.361E-03 5.157E-03 1.049E-03 4.049E+00 3 4.51 5.00 2.297E-04 3.565E-02 3.803E-04 4.485E-04 6.446E-04 2.999E-03 3.656E+00 5 9.01 10.00 8.411E-05 3.872E-03 1.137E-04 1.177E-04 1.283E-04 1.682E-02 3.435E+00 Waveband 32 of 40 completed in 4.7 sec. * * * * * Output for wavelength band 33 (670.0 to 680.0 nm; nominal wavelength = 675.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 31.9 m at 675.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 670.0 nm to 680.0 nm: Ed(diffuse) = 3.090E-01 Ed(direct) = 9.226E-01 Ed(total) = 1.232E+00 Absorption Coefficients of Individual Components at 675.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.4480 0.0557 0.0008 0.5044 3 4.575 5.000 0.4480 0.0557 0.0008 0.5044 5 9.149 10.000 0.4480 0.0557 0.0008 0.5044 Scattering Coefficients of Individual Components at 675.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0008 0.4097 0.0000 0.4105 3 4.575 5.000 0.0008 0.4097 0.0000 0.4105 5 9.149 10.000 0.0008 0.4097 0.0000 0.4105 Backscattering Coefficients of Individual Components at 675.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00040 0.00410 0.00000 0.00449 3 4.575 5.000 0.00040 0.00410 0.00000 0.00449 5 9.149 10.000 0.00040 0.00410 0.00000 0.00449 Summary of Inherent Optical Properties at 675.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.5044 0.4105 0.9149 0.4486 0.00449 0.01094 3 4.575 5.000 0.5044 0.4105 0.9149 0.4486 0.00449 0.01094 5 9.149 10.000 0.5044 0.4105 0.9149 0.4486 0.00449 0.01094 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 7.9541E-01 8 20.00 4.4086E-01 7 30.00 1.8833E-01 6 40.00 7.0890E-02 5 50.00 2.6532E-02 4 60.00 1.0755E-02 3 70.00 4.9076E-03 2 80.00 2.5372E-03 1 87.50 1.6586E-03 1 92.50 1.2809E-03 2 100.00 9.3229E-04 3 110.00 6.6204E-04 4 120.00 5.1310E-04 5 130.00 4.3033E-04 6 140.00 3.8443E-04 7 150.00 3.5947E-04 8 160.00 3.4648E-04 9 170.00 3.4039E-04 10 180.00 3.3833E-04 Asymptotic AOP values are MUu(inf) = 0.3788 MUd(inf) = 0.8897 MU(inf) = 0.8805 R(inf) = 0.0031 Lu(inf)/Ed(inf) = 0.000711 (1/sr) k(inf) = 0.5730 (1/m) absorp(check) = 0.5045 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 675.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.1628E-01 1.6906E+00 1.8069E+00 4.3323E-02 1.2316E+00 0.3726 0.7285 0.6576 3.5177E-02 1 0.00 0.00 1.7506E-02 1.3358E+00 1.3533E+00 7.5111E-03 1.1958E+00 0.4291 0.8951 0.8780 6.2815E-03 3 4.57 5.00 4.2953E-03 8.0892E-02 8.5187E-02 1.9996E-03 6.9246E-02 0.4655 0.8560 0.7894 2.8877E-02 5 9.15 10.00 1.7571E-03 6.4775E-03 8.2345E-03 8.3861E-04 4.8620E-03 0.4773 0.7506 0.4886 1.7248E-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 0.35296 0.54716 0.54465 0.34736 0.56524 0.56662 0.33467 5.000 5.010 5.005 0.21302 0.55252 0.53538 0.20233 0.56415 0.57493 0.19220 10.000 10.010 10.005 0.16312 0.42722 0.37081 0.16153 0.47316 0.53824 0.16015 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 1.06572E-03 6.82092E-03 7.88664E-03 8.65328E-04 0.081808 9 1 10.0 0.0 180.0 5.14469E-02 1.08462E-03 1.93192E-03 3.01655E-03 8.80681E-04 0.037552 9 4 10.0 45.0 135.0 5.65262E-02 1.07862E-03 2.25124E-03 3.32985E-03 8.75803E-04 0.039826 9 7 10.0 90.0 90.0 7.63717E-02 1.07276E-03 4.85946E-03 5.93221E-03 8.71044E-04 0.063629 8 1 20.0 0.0 180.0 4.04108E-02 1.09364E-03 9.90991E-04 2.08463E-03 8.88004E-04 0.024523 8 4 20.0 45.0 135.0 4.49881E-02 1.08035E-03 1.17356E-03 2.25391E-03 8.77214E-04 0.026086 8 7 20.0 90.0 90.0 6.61529E-02 1.07315E-03 2.77426E-03 3.84742E-03 8.71368E-04 0.041937 7 1 30.0 0.0 180.0 3.50384E-02 1.10692E-03 8.43451E-04 1.95037E-03 8.98784E-04 0.024072 7 4 30.0 45.0 135.0 3.88497E-02 1.10194E-03 9.47996E-04 2.04994E-03 8.94741E-04 0.024402 7 7 30.0 90.0 90.0 5.66278E-02 1.08709E-03 1.66580E-03 2.75289E-03 8.82685E-04 0.029417 6 1 40.0 0.0 180.0 3.32580E-02 1.11215E-03 9.37813E-04 2.04996E-03 9.03030E-04 0.028198 6 4 40.0 45.0 135.0 3.63659E-02 1.10446E-03 1.01712E-03 2.12158E-03 8.96789E-04 0.027969 6 7 40.0 90.0 90.0 5.10571E-02 1.08877E-03 1.47564E-03 2.56442E-03 8.84051E-04 0.028902 5 1 50.0 0.0 180.0 3.48699E-02 1.12228E-03 1.48143E-03 2.60372E-03 9.11259E-04 0.042485 5 4 50.0 45.0 135.0 3.71586E-02 1.10763E-03 1.54338E-03 2.65101E-03 8.99363E-04 0.041535 5 7 50.0 90.0 90.0 4.93930E-02 1.09238E-03 1.99530E-03 3.08768E-03 8.86980E-04 0.040396 4 1 60.0 0.0 180.0 4.13912E-02 1.10150E-03 3.45105E-03 4.55255E-03 8.94381E-04 0.083377 4 4 60.0 45.0 135.0 4.23279E-02 1.08477E-03 3.40785E-03 4.49263E-03 8.80803E-04 0.080511 4 7 60.0 90.0 90.0 5.22694E-02 1.08214E-03 3.97960E-03 5.06174E-03 8.78663E-04 0.076136 3 1 70.0 0.0 180.0 5.74306E-02 1.01684E-03 9.53273E-03 1.05496E-02 8.25639E-04 0.165987 3 4 70.0 45.0 135.0 5.58141E-02 1.01142E-03 9.17225E-03 1.01837E-02 8.21240E-04 0.164336 3 7 70.0 90.0 90.0 6.23988E-02 1.00844E-03 9.97439E-03 1.09828E-02 8.18823E-04 0.159849 2 1 80.0 0.0 180.0 9.75754E-02 8.66671E-04 2.36955E-02 2.45622E-02 7.03710E-04 0.242843 2 4 80.0 45.0 135.0 9.03529E-02 8.59231E-04 2.29185E-02 2.37777E-02 6.97669E-04 0.253655 2 7 80.0 90.0 90.0 8.97663E-02 8.57016E-04 2.40019E-02 2.48589E-02 6.95870E-04 0.267382 1 1 87.5 0.0 180.0 1.57761E-01 6.94598E-04 4.17903E-02 4.24849E-02 5.63992E-04 0.264896 1 4 87.5 45.0 135.0 1.42045E-01 6.55377E-04 4.15323E-02 4.21877E-02 5.32146E-04 0.292389 1 7 87.5 90.0 90.0 1.29229E-01 7.23345E-04 4.25056E-02 4.32290E-02 5.87334E-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 7.887E-03 8.338E-02 1.001E-01 8.623E-02 1.295E-01 6.404E-03 5.493E+00 1.066E-03 8.653E-04 1 0.00 0.00 1.978E-03 1.551E-01 3.719E-03 4.297E-03 5.968E-03 1.654E-03 3.798E+00 3 4.57 5.00 5.722E-04 3.191E-02 8.103E-04 8.668E-04 1.029E-03 8.264E-03 3.494E+00 5 9.15 10.00 2.453E-04 3.401E-03 3.212E-04 3.242E-04 3.320E-04 5.046E-02 3.418E+00 Waveband 33 of 40 completed in 4.4 sec. * * * * * Output for wavelength band 34 (680.0 to 690.0 nm; nominal wavelength = 685.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 31.4 m at 685.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 680.0 nm to 690.0 nm: Ed(diffuse) = 2.816E-01 Ed(direct) = 8.472E-01 Ed(total) = 1.129E+00 Absorption Coefficients of Individual Components at 685.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.4860 0.0433 0.0007 0.5300 3 4.672 5.000 0.4860 0.0433 0.0007 0.5300 5 9.344 10.000 0.4860 0.0433 0.0007 0.5300 Scattering Coefficients of Individual Components at 685.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0007 0.4037 0.0000 0.4044 3 4.672 5.000 0.0007 0.4037 0.0000 0.4044 5 9.344 10.000 0.0007 0.4037 0.0000 0.4044 Backscattering Coefficients of Individual Components at 685.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00037 0.00404 0.00000 0.00441 3 4.672 5.000 0.00037 0.00404 0.00000 0.00441 5 9.344 10.000 0.00037 0.00404 0.00000 0.00441 Summary of Inherent Optical Properties at 685.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.5300 0.4044 0.9344 0.4328 0.00441 0.01090 3 4.672 5.000 0.5300 0.4044 0.9344 0.4328 0.00441 0.01090 5 9.344 10.000 0.5300 0.4044 0.9344 0.4328 0.00441 0.01090 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 7.8729E-01 8 20.00 4.2584E-01 7 30.00 1.7663E-01 6 40.00 6.4772E-02 5 50.00 2.3819E-02 4 60.00 9.5706E-03 3 70.00 4.3550E-03 2 80.00 2.2511E-03 1 87.50 1.4724E-03 1 92.50 1.1382E-03 2 100.00 8.2903E-04 3 110.00 5.8926E-04 4 120.00 4.5727E-04 5 130.00 3.8404E-04 6 140.00 3.4355E-04 7 150.00 3.2163E-04 8 160.00 3.1029E-04 9 170.00 3.0500E-04 10 180.00 3.0323E-04 Asymptotic AOP values are MUu(inf) = 0.3795 MUd(inf) = 0.8934 MU(inf) = 0.8849 R(inf) = 0.0029 Lu(inf)/Ed(inf) = 0.000663 (1/sr) k(inf) = 0.5990 (1/m) absorp(check) = 0.5300 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 685.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.0791E-01 1.5481E+00 1.6560E+00 4.0568E-02 1.1288E+00 0.3760 0.7291 0.6571 3.5939E-02 1 0.00 0.00 1.9855E-02 1.2272E+00 1.2471E+00 8.7487E-03 1.0970E+00 0.4406 0.8939 0.8726 7.9753E-03 3 4.67 5.00 5.7099E-03 6.7347E-02 7.3056E-02 2.6950E-03 5.6764E-02 0.4720 0.8429 0.7401 4.7477E-02 5 9.34 10.00 2.4555E-03 6.1190E-03 8.5745E-03 1.1760E-03 4.2336E-03 0.4789 0.6919 0.3566 2.7778E-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 0.33036 0.57469 0.57079 0.31762 0.59182 0.59403 0.30151 5.000 5.010 5.005 0.19248 0.55912 0.53042 0.18554 0.57824 0.59786 0.17891 10.000 10.010 10.005 0.15975 0.36693 0.30755 0.15895 0.42479 0.52722 0.15826 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 685.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 7.59819E-02 1.27714E-03 6.24883E-03 7.52597E-03 1.13142E-03 0.082241 9 1 10.0 0.0 180.0 4.68840E-02 1.29636E-03 1.76499E-03 3.06135E-03 1.14844E-03 0.037646 9 4 10.0 45.0 135.0 5.15128E-02 1.29026E-03 2.05725E-03 3.34751E-03 1.14304E-03 0.039937 9 7 10.0 90.0 90.0 6.95981E-02 1.28560E-03 4.44880E-03 5.73440E-03 1.13891E-03 0.063921 8 1 20.0 0.0 180.0 3.68267E-02 1.30481E-03 9.03321E-04 2.20813E-03 1.15592E-03 0.024529 8 4 20.0 45.0 135.0 4.09980E-02 1.29080E-03 1.07005E-03 2.36085E-03 1.14352E-03 0.026100 8 7 20.0 90.0 90.0 6.02856E-02 1.28588E-03 2.53594E-03 3.82182E-03 1.13916E-03 0.042065 7 1 30.0 0.0 180.0 3.19307E-02 1.31845E-03 7.68643E-04 2.08709E-03 1.16801E-03 0.024072 7 4 30.0 45.0 135.0 3.54042E-02 1.31509E-03 8.63944E-04 2.17903E-03 1.16503E-03 0.024402 7 7 30.0 90.0 90.0 5.16043E-02 1.30211E-03 1.51958E-03 2.82169E-03 1.15354E-03 0.029447 6 1 40.0 0.0 180.0 3.03083E-02 1.32211E-03 8.54636E-04 2.17675E-03 1.17126E-03 0.028198 6 4 40.0 45.0 135.0 3.31405E-02 1.31620E-03 9.26912E-04 2.24311E-03 1.16602E-03 0.027969 6 7 40.0 90.0 90.0 4.65287E-02 1.30275E-03 1.34486E-03 2.64761E-03 1.15410E-03 0.028904 5 1 50.0 0.0 180.0 3.17773E-02 1.33206E-03 1.35004E-03 2.68210E-03 1.18007E-03 0.042485 5 4 50.0 45.0 135.0 3.38629E-02 1.31809E-03 1.40649E-03 2.72458E-03 1.16769E-03 0.041535 5 7 50.0 90.0 90.0 4.50123E-02 1.30455E-03 1.81834E-03 3.12288E-03 1.15570E-03 0.040396 4 1 60.0 0.0 180.0 3.77201E-02 1.30526E-03 3.14497E-03 4.45023E-03 1.15633E-03 0.083377 4 4 60.0 45.0 135.0 3.85738E-02 1.28882E-03 3.10560E-03 4.39443E-03 1.14177E-03 0.080511 4 7 60.0 90.0 90.0 4.76335E-02 1.28915E-03 3.62664E-03 4.91579E-03 1.14206E-03 0.076136 3 1 70.0 0.0 180.0 5.23369E-02 1.20254E-03 8.68725E-03 9.88979E-03 1.06532E-03 0.165987 3 4 70.0 45.0 135.0 5.08638E-02 1.19896E-03 8.35874E-03 9.55770E-03 1.06215E-03 0.164336 3 7 70.0 90.0 90.0 5.68645E-02 1.19656E-03 9.08974E-03 1.02863E-02 1.06003E-03 0.159849 2 1 80.0 0.0 180.0 8.89212E-02 1.02281E-03 2.15939E-02 2.26167E-02 9.06106E-04 0.242843 2 4 80.0 45.0 135.0 8.23393E-02 1.01603E-03 2.08858E-02 2.19018E-02 9.00097E-04 0.253655 2 7 80.0 90.0 90.0 8.18047E-02 1.01254E-03 2.18731E-02 2.28856E-02 8.97006E-04 0.267382 1 1 87.5 0.0 180.0 1.43769E-01 8.17718E-04 3.80839E-02 3.89016E-02 7.24414E-04 0.264896 1 4 87.5 45.0 135.0 1.29447E-01 7.72693E-04 3.78487E-02 3.86214E-02 6.84527E-04 0.292389 1 7 87.5 90.0 90.0 1.17768E-01 8.50095E-04 3.87357E-02 3.95858E-02 7.53097E-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 7.526E-03 7.598E-02 9.134E-02 7.868E-02 1.181E-01 6.667E-03 5.390E+00 1.277E-03 1.131E-03 1 0.00 0.00 2.370E-03 1.414E-01 4.182E-03 4.691E-03 6.133E-03 2.161E-03 3.691E+00 3 4.67 5.00 7.814E-04 2.596E-02 1.056E-03 1.098E-03 1.219E-03 1.377E-02 3.449E+00 5 9.34 10.00 3.453E-04 2.684E-03 4.452E-04 4.472E-04 4.522E-04 8.157E-02 3.405E+00 Waveband 34 of 40 completed in 4.4 sec. * * * * * Output for wavelength band 35 (690.0 to 700.0 nm; nominal wavelength = 695.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 30.3 m at 695.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 690.0 nm to 700.0 nm: Ed(diffuse) = 2.700E-01 Ed(direct) = 8.188E-01 Ed(total) = 1.089E+00 Absorption Coefficients of Individual Components at 695.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.5590 0.0268 0.0006 0.5864 3 4.925 5.000 0.5590 0.0268 0.0006 0.5864 5 9.850 10.000 0.5590 0.0268 0.0006 0.5864 Scattering Coefficients of Individual Components at 695.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0007 0.3979 0.0000 0.3986 3 4.925 5.000 0.0007 0.3979 0.0000 0.3986 5 9.850 10.000 0.0007 0.3979 0.0000 0.3986 Backscattering Coefficients of Individual Components at 695.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00035 0.00398 0.00000 0.00433 3 4.925 5.000 0.00035 0.00398 0.00000 0.00433 5 9.850 10.000 0.00035 0.00398 0.00000 0.00433 Summary of Inherent Optical Properties at 695.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.5864 0.3986 0.9850 0.4047 0.00433 0.01086 3 4.925 5.000 0.5864 0.3986 0.9850 0.4047 0.00433 0.01086 5 9.850 10.000 0.5864 0.3986 0.9850 0.4047 0.00433 0.01086 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 7.7183E-01 8 20.00 3.9851E-01 7 30.00 1.5645E-01 6 40.00 5.4734E-02 5 50.00 1.9527E-02 4 60.00 7.7391E-03 3 70.00 3.5095E-03 2 80.00 1.8153E-03 1 87.50 1.1891E-03 1 92.50 9.2115E-04 2 100.00 6.7209E-04 3 110.00 4.7878E-04 4 120.00 3.7257E-04 5 130.00 3.1383E-04 6 140.00 2.8152E-04 7 150.00 2.6419E-04 8 160.00 2.5533E-04 9 170.00 2.5125E-04 10 180.00 2.4988E-04 Asymptotic AOP values are MUu(inf) = 0.3809 MUd(inf) = 0.9000 MU(inf) = 0.8924 R(inf) = 0.0026 Lu(inf)/Ed(inf) = 0.000586 (1/sr) k(inf) = 0.6571 (1/m) absorp(check) = 0.5865 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 695.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.0166E-01 1.4919E+00 1.5936E+00 3.7978E-02 1.0888E+00 0.3736 0.7298 0.6594 3.4881E-02 1 0.00 0.00 1.4127E-02 1.1797E+00 1.1938E+00 6.1219E-03 1.0569E+00 0.4333 0.8959 0.8802 5.7922E-03 3 4.92 5.00 3.4468E-03 4.6709E-02 5.0156E-02 1.6318E-03 3.9771E-02 0.4734 0.8515 0.7604 4.1030E-02 5 9.85 10.00 1.4738E-03 3.3928E-03 4.8665E-03 7.0887E-04 2.3145E-03 0.4810 0.6822 0.3299 3.0627E-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 0.39417 0.63906 0.63616 0.37991 0.65533 0.65693 0.35972 5.000 5.010 5.005 0.19891 0.62289 0.59370 0.19072 0.64130 0.66062 0.18296 10.000 10.010 10.005 0.15921 0.38024 0.31325 0.15847 0.44726 0.57502 0.15783 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 695.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 7.28671E-02 8.80725E-04 6.02455E-03 6.90527E-03 8.08907E-04 0.082679 9 1 10.0 0.0 180.0 4.49620E-02 8.95383E-04 1.69691E-03 2.59230E-03 8.22369E-04 0.037741 9 4 10.0 45.0 135.0 4.94011E-02 8.90691E-04 1.97842E-03 2.86911E-03 8.18060E-04 0.040048 9 7 10.0 90.0 90.0 6.67449E-02 8.86425E-04 4.28615E-03 5.17258E-03 8.14142E-04 0.064217 8 1 20.0 0.0 180.0 3.53170E-02 9.02015E-04 8.66506E-04 1.76852E-03 8.28460E-04 0.024535 8 4 20.0 45.0 135.0 3.93173E-02 8.91511E-04 1.02674E-03 1.91826E-03 8.18813E-04 0.026114 8 7 20.0 90.0 90.0 5.78143E-02 8.86459E-04 2.43949E-03 3.32595E-03 8.14173E-04 0.042195 7 1 30.0 0.0 180.0 3.06217E-02 9.12113E-04 7.37133E-04 1.64925E-03 8.37735E-04 0.024072 7 4 30.0 45.0 135.0 3.39530E-02 9.08641E-04 8.28554E-04 1.73719E-03 8.34546E-04 0.024403 7 7 30.0 90.0 90.0 4.94878E-02 8.97528E-04 1.45876E-03 2.35629E-03 8.24340E-04 0.029477 6 1 40.0 0.0 180.0 2.90658E-02 9.15263E-04 8.19600E-04 1.73486E-03 8.40628E-04 0.028198 6 4 40.0 45.0 135.0 3.17819E-02 9.09716E-04 8.88913E-04 1.79863E-03 8.35534E-04 0.027969 6 7 40.0 90.0 90.0 4.46213E-02 8.98005E-04 1.28983E-03 2.18783E-03 8.24778E-04 0.028906 5 1 50.0 0.0 180.0 3.04746E-02 9.22564E-04 1.29470E-03 2.21726E-03 8.47334E-04 0.042485 5 4 50.0 45.0 135.0 3.24747E-02 9.11333E-04 1.34884E-03 2.26017E-03 8.37019E-04 0.041535 5 7 50.0 90.0 90.0 4.31670E-02 8.99788E-04 1.74379E-03 2.64358E-03 8.26415E-04 0.040396 4 1 60.0 0.0 180.0 3.61738E-02 9.04421E-04 3.01605E-03 3.92047E-03 8.30670E-04 0.083377 4 4 60.0 45.0 135.0 3.69924E-02 8.91480E-04 2.97829E-03 3.86977E-03 8.18784E-04 0.080511 4 7 60.0 90.0 90.0 4.56808E-02 8.89987E-04 3.47797E-03 4.36795E-03 8.17413E-04 0.076136 3 1 70.0 0.0 180.0 5.01914E-02 8.33780E-04 8.33112E-03 9.16490E-03 7.65789E-04 0.165987 3 4 70.0 45.0 135.0 4.87787E-02 8.29977E-04 8.01608E-03 8.84606E-03 7.62297E-04 0.164336 3 7 70.0 90.0 90.0 5.45334E-02 8.27589E-04 8.71711E-03 9.54470E-03 7.60103E-04 0.159849 2 1 80.0 0.0 180.0 8.52759E-02 7.09703E-04 2.07087E-02 2.14184E-02 6.51830E-04 0.242843 2 4 80.0 45.0 135.0 7.89638E-02 7.04037E-04 2.00296E-02 2.07336E-02 6.46626E-04 0.253655 2 7 80.0 90.0 90.0 7.84512E-02 7.01792E-04 2.09764E-02 2.16782E-02 6.44565E-04 0.267382 1 1 87.5 0.0 180.0 1.37875E-01 5.67981E-04 3.65226E-02 3.70906E-02 5.21665E-04 0.264896 1 4 87.5 45.0 135.0 1.24140E-01 5.36140E-04 3.62971E-02 3.68333E-02 4.92421E-04 0.292389 1 7 87.5 90.0 90.0 1.12940E-01 5.90860E-04 3.71477E-02 3.77386E-02 5.42679E-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 6.905E-03 7.287E-02 8.748E-02 7.534E-02 1.131E-01 6.342E-03 5.500E+00 8.807E-04 8.089E-04 1 0.00 0.00 1.635E-03 1.356E-01 3.011E-03 3.449E-03 4.715E-03 1.547E-03 3.745E+00 3 4.92 5.00 4.763E-04 1.846E-02 6.316E-04 6.577E-04 7.326E-04 1.198E-02 3.426E+00 5 9.85 10.00 2.098E-04 1.466E-03 2.640E-04 2.649E-04 2.672E-04 9.065E-02 3.379E+00 Waveband 35 of 40 completed in 4.5 sec. * * * * * Output for wavelength band 36 (700.0 to 710.0 nm; nominal wavelength = 705.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 28.0 m at 705.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 700.0 nm to 710.0 nm: Ed(diffuse) = 2.706E-01 Ed(direct) = 8.263E-01 Ed(total) = 1.097E+00 Absorption Coefficients of Individual Components at 705.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.7040 0.0165 0.0005 0.7210 3 5.570 5.000 0.7040 0.0165 0.0005 0.7210 5 11.139 10.000 0.7040 0.0165 0.0005 0.7210 Scattering Coefficients of Individual Components at 705.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0007 0.3923 0.0000 0.3929 3 5.570 5.000 0.0007 0.3923 0.0000 0.3929 5 11.139 10.000 0.0007 0.3923 0.0000 0.3929 Backscattering Coefficients of Individual Components at 705.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00033 0.00392 0.00000 0.00425 3 5.570 5.000 0.00033 0.00392 0.00000 0.00425 5 11.139 10.000 0.00033 0.00392 0.00000 0.00425 Summary of Inherent Optical Properties at 705.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.7210 0.3929 1.1139 0.3527 0.00425 0.01082 3 5.570 5.000 0.7210 0.3929 1.1139 0.3527 0.00425 0.01082 5 11.139 10.000 0.7210 0.3929 1.1139 0.3527 0.00425 0.01082 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 7.3923E-01 8 20.00 3.4598E-01 7 30.00 1.2160E-01 6 40.00 3.8920E-02 5 50.00 1.3186E-02 4 60.00 5.1258E-03 3 70.00 2.3196E-03 2 80.00 1.2041E-03 1 87.50 7.9174E-04 1 92.50 6.1589E-04 2 100.00 4.5100E-04 3 110.00 3.2279E-04 4 120.00 2.5259E-04 5 130.00 2.1399E-04 6 140.00 1.9300E-04 7 150.00 1.8193E-04 8 160.00 1.7642E-04 9 170.00 1.7395E-04 10 180.00 1.7313E-04 Asymptotic AOP values are MUu(inf) = 0.3837 MUd(inf) = 0.9117 MU(inf) = 0.9056 R(inf) = 0.0020 Lu(inf)/Ed(inf) = 0.000465 (1/sr) k(inf) = 0.7962 (1/m) absorp(check) = 0.7211 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 705.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 9.9262E-02 1.5018E+00 1.6011E+00 3.6710E-02 1.0969E+00 0.3698 0.7304 0.6622 3.3466E-02 1 0.00 0.00 7.3262E-03 1.1830E+00 1.1903E+00 2.9925E-03 1.0632E+00 0.4085 0.8987 0.8907 2.8146E-03 3 5.57 5.00 8.9026E-04 2.1348E-02 2.2238E-02 4.2164E-04 1.8630E-02 0.4736 0.8727 0.8188 2.2632E-02 5 11.14 10.00 3.6759E-04 7.9628E-04 1.1639E-03 1.7838E-04 5.4229E-04 0.4853 0.6810 0.3127 3.2895E-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 0.61729 0.79195 0.79087 0.61000 0.80627 0.80683 0.58937 5.000 5.010 5.005 0.23180 0.78531 0.76309 0.21692 0.79773 0.81122 0.20302 10.000 10.010 10.005 0.15810 0.43817 0.34963 0.15739 0.52672 0.70826 0.15672 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 4.05421E-04 6.06697E-03 6.47239E-03 3.69599E-04 0.083090 9 1 10.0 0.0 180.0 4.50545E-02 4.14784E-04 1.70444E-03 2.11922E-03 3.78134E-04 0.037831 9 4 10.0 45.0 135.0 4.95027E-02 4.11757E-04 1.98768E-03 2.39943E-03 3.75375E-04 0.040153 9 7 10.0 90.0 90.0 6.68822E-02 4.07920E-04 4.31355E-03 4.72147E-03 3.71877E-04 0.064495 8 1 20.0 0.0 180.0 3.53897E-02 4.19492E-04 8.68492E-04 1.28798E-03 3.82427E-04 0.024541 8 4 20.0 45.0 135.0 3.93982E-02 4.13146E-04 1.02938E-03 1.44253E-03 3.76642E-04 0.026128 8 7 20.0 90.0 90.0 5.79332E-02 4.07863E-04 2.45157E-03 2.85943E-03 3.71826E-04 0.042317 7 1 30.0 0.0 180.0 3.06847E-02 4.25658E-04 7.38649E-04 1.16431E-03 3.88048E-04 0.024072 7 4 30.0 45.0 135.0 3.40230E-02 4.21998E-04 8.30284E-04 1.25228E-03 3.84712E-04 0.024404 7 7 30.0 90.0 90.0 4.95886E-02 4.13013E-04 1.46315E-03 1.87616E-03 3.76520E-04 0.029506 6 1 40.0 0.0 180.0 2.91256E-02 4.28694E-04 8.21286E-04 1.24998E-03 3.90815E-04 0.028198 6 4 40.0 45.0 135.0 3.18473E-02 4.23527E-04 8.90742E-04 1.31427E-03 3.86106E-04 0.027969 6 7 40.0 90.0 90.0 4.47131E-02 4.13774E-04 1.29257E-03 1.70634E-03 3.77214E-04 0.028908 5 1 50.0 0.0 180.0 3.05372E-02 4.33314E-04 1.29736E-03 1.73067E-03 3.95027E-04 0.042485 5 4 50.0 45.0 135.0 3.25416E-02 4.25287E-04 1.35161E-03 1.77690E-03 3.87710E-04 0.041535 5 7 50.0 90.0 90.0 4.32558E-02 4.16003E-04 1.74738E-03 2.16338E-03 3.79246E-04 0.040396 4 1 60.0 0.0 180.0 3.62482E-02 4.26002E-04 3.02225E-03 3.44825E-03 3.88362E-04 0.083377 4 4 60.0 45.0 135.0 3.70685E-02 4.17160E-04 2.98442E-03 3.40158E-03 3.80301E-04 0.080511 4 7 60.0 90.0 90.0 4.57748E-02 4.13371E-04 3.48512E-03 3.89849E-03 3.76847E-04 0.076136 3 1 70.0 0.0 180.0 5.02946E-02 3.94137E-04 8.34826E-03 8.74240E-03 3.59312E-04 0.165987 3 4 70.0 45.0 135.0 4.88790E-02 3.90001E-04 8.03257E-03 8.42257E-03 3.55542E-04 0.164336 3 7 70.0 90.0 90.0 5.46456E-02 3.87531E-04 8.73504E-03 9.12257E-03 3.53290E-04 0.159849 2 1 80.0 0.0 180.0 8.54513E-02 3.36787E-04 2.07513E-02 2.10881E-02 3.07030E-04 0.242843 2 4 80.0 45.0 135.0 7.91262E-02 3.32401E-04 2.00708E-02 2.04032E-02 3.03031E-04 0.253655 2 7 80.0 90.0 90.0 7.86126E-02 3.31558E-04 2.10196E-02 2.13511E-02 3.02262E-04 0.267382 1 1 87.5 0.0 180.0 1.38159E-01 2.70833E-04 3.65978E-02 3.68686E-02 2.46903E-04 0.264896 1 4 87.5 45.0 135.0 1.24395E-01 2.54638E-04 3.63718E-02 3.66264E-02 2.32138E-04 0.292389 1 7 87.5 90.0 90.0 1.13172E-01 2.82315E-04 3.72242E-02 3.75065E-02 2.57370E-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 6.472E-03 7.302E-02 8.751E-02 7.534E-02 1.132E-01 5.901E-03 5.672E+00 4.054E-04 3.696E-04 1 0.00 0.00 7.524E-04 1.358E-01 1.636E-03 1.992E-03 3.058E-03 7.077E-04 3.977E+00 3 5.57 5.00 1.244E-04 9.059E-03 1.614E-04 1.712E-04 1.991E-04 6.676E-03 3.390E+00 5 11.14 10.00 5.378E-05 3.609E-04 6.425E-05 6.441E-05 6.481E-05 9.917E-02 3.317E+00 Waveband 36 of 40 completed in 4.9 sec. * * * * * Output for wavelength band 37 (710.0 to 720.0 nm; nominal wavelength = 715.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 24.3 m at 715.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 710.0 nm to 720.0 nm: Ed(diffuse) = 2.466E-01 Ed(direct) = 7.579E-01 Ed(total) = 1.004E+00 Absorption Coefficients of Individual Components at 715.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 1.0070 0.0072 0.0004 1.0147 3 7.010 5.000 1.0070 0.0072 0.0004 1.0147 5 14.020 10.000 1.0070 0.0072 0.0004 1.0147 Scattering Coefficients of Individual Components at 715.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0006 0.3868 0.0000 0.3874 3 7.010 5.000 0.0006 0.3868 0.0000 0.3874 5 14.020 10.000 0.0006 0.3868 0.0000 0.3874 Backscattering Coefficients of Individual Components at 715.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00031 0.00387 0.00000 0.00418 3 7.010 5.000 0.00031 0.00387 0.00000 0.00418 5 14.020 10.000 0.00031 0.00387 0.00000 0.00418 Summary of Inherent Optical Properties at 715.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 1.0147 0.3874 1.4020 0.2763 0.00418 0.01078 3 7.010 5.000 1.0147 0.3874 1.4020 0.2763 0.00418 0.01078 5 14.020 10.000 1.0147 0.3874 1.4020 0.2763 0.00418 0.01078 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 6.7726E-01 8 20.00 2.6328E-01 7 30.00 7.6482E-02 6 40.00 2.1397E-02 5 50.00 6.8082E-03 4 60.00 2.6096E-03 3 70.00 1.1875E-03 2 80.00 6.2212E-04 1 87.50 4.1182E-04 1 92.50 3.2237E-04 2 100.00 2.3739E-04 3 110.00 1.7113E-04 4 120.00 1.3502E-04 5 130.00 1.1536E-04 6 140.00 1.0486E-04 7 150.00 9.9491E-05 8 160.00 9.6931E-05 9 170.00 9.5843E-05 10 180.00 9.5489E-05 Asymptotic AOP values are MUu(inf) = 0.3880 MUd(inf) = 0.9280 MU(inf) = 0.9238 R(inf) = 0.0014 Lu(inf)/Ed(inf) = 0.000323 (1/sr) k(inf) = 1.0985 (1/m) absorp(check) = 1.0148 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 715.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 8.9520E-02 1.3742E+00 1.4637E+00 3.2996E-02 1.0045E+00 0.3686 0.7310 0.6637 3.2849E-02 1 0.00 0.00 3.7567E-03 1.0809E+00 1.0847E+00 1.4634E-03 9.7294E-01 0.3896 0.9001 0.8956 1.5041E-03 3 7.01 5.00 1.1447E-04 3.8262E-03 3.9406E-03 5.5273E-05 3.3966E-03 0.4829 0.8877 0.8479 1.6273E-02 5 14.02 10.00 4.7899E-05 6.8510E-05 1.1641E-04 2.3711E-05 4.0576E-05 0.4950 0.5923 0.1449 5.8435E-01 K-functions (units of 1/meter) at 715.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 1.04072 1.12248 1.12219 1.04337 1.13232 1.13246 1.03431 5.000 5.010 5.005 0.26014 1.10344 1.07884 0.23784 1.11529 1.12987 0.21673 10.000 10.010 10.005 0.15428 0.33344 0.25968 0.15411 0.43069 0.82083 0.15398 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 1.88170E-04 5.55348E-03 5.74165E-03 1.87331E-04 0.083471 9 1 10.0 0.0 180.0 4.10531E-02 1.93670E-04 1.55646E-03 1.75013E-03 1.92807E-04 0.037913 9 4 10.0 45.0 135.0 4.51062E-02 1.91888E-04 1.81552E-03 2.00741E-03 1.91033E-04 0.040250 9 7 10.0 90.0 90.0 6.09422E-02 1.89285E-04 3.94612E-03 4.13541E-03 1.88442E-04 0.064752 8 1 20.0 0.0 180.0 3.22466E-02 1.96602E-04 7.91531E-04 9.88133E-04 1.95726E-04 0.024546 8 4 20.0 45.0 135.0 3.58992E-02 1.92998E-04 9.38408E-04 1.13141E-03 1.92138E-04 0.026140 8 7 20.0 90.0 90.0 5.27880E-02 1.89242E-04 2.23980E-03 2.42904E-03 1.88399E-04 0.042430 7 1 30.0 0.0 180.0 2.79595E-02 2.00157E-04 6.73047E-04 8.73204E-04 1.99265E-04 0.024072 7 4 30.0 45.0 135.0 3.10015E-02 1.97560E-04 7.56566E-04 9.54125E-04 1.96679E-04 0.024404 7 7 30.0 90.0 90.0 4.51837E-02 1.91672E-04 1.33438E-03 1.52605E-03 1.90818E-04 0.029532 6 1 40.0 0.0 180.0 2.65389E-02 2.02310E-04 7.48345E-04 9.50655E-04 2.01408E-04 0.028198 6 4 40.0 45.0 135.0 2.90189E-02 1.98769E-04 8.11633E-04 1.01040E-03 1.97883E-04 0.027969 6 7 40.0 90.0 90.0 4.07420E-02 1.92279E-04 1.17785E-03 1.37013E-03 1.91423E-04 0.028910 5 1 50.0 0.0 180.0 2.78252E-02 2.05053E-04 1.18214E-03 1.38719E-03 2.04139E-04 0.042485 5 4 50.0 45.0 135.0 2.96514E-02 2.00069E-04 1.23157E-03 1.43164E-03 1.99178E-04 0.041535 5 7 50.0 90.0 90.0 3.94141E-02 1.93927E-04 1.59219E-03 1.78612E-03 1.93063E-04 0.040396 4 1 60.0 0.0 180.0 3.30289E-02 2.02157E-04 2.75384E-03 2.95599E-03 2.01256E-04 0.083377 4 4 60.0 45.0 135.0 3.37764E-02 1.96771E-04 2.71936E-03 2.91613E-03 1.95894E-04 0.080511 4 7 60.0 90.0 90.0 4.17094E-02 1.93513E-04 3.17560E-03 3.36911E-03 1.92651E-04 0.076136 3 1 70.0 0.0 180.0 4.58278E-02 1.87675E-04 7.60683E-03 7.79450E-03 1.86839E-04 0.165987 3 4 70.0 45.0 135.0 4.45379E-02 1.84680E-04 7.31918E-03 7.50386E-03 1.83857E-04 0.164336 3 7 70.0 90.0 90.0 4.97924E-02 1.82738E-04 7.95926E-03 8.14200E-03 1.81923E-04 0.159849 2 1 80.0 0.0 180.0 7.78622E-02 1.60948E-04 1.89083E-02 1.90693E-02 1.60230E-04 0.242843 2 4 80.0 45.0 135.0 7.20988E-02 1.58093E-04 1.82883E-02 1.84463E-02 1.57389E-04 0.253655 2 7 80.0 90.0 90.0 7.16308E-02 1.57563E-04 1.91528E-02 1.93103E-02 1.56861E-04 0.267382 1 1 87.5 0.0 180.0 1.25889E-01 1.29994E-04 3.33474E-02 3.34774E-02 1.29415E-04 0.264896 1 4 87.5 45.0 135.0 1.13347E-01 1.21751E-04 3.31415E-02 3.32633E-02 1.21209E-04 0.292389 1 7 87.5 90.0 90.0 1.03121E-01 1.35463E-04 3.39182E-02 3.40536E-02 1.34860E-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 5.742E-03 6.653E-02 7.968E-02 6.859E-02 1.031E-01 5.716E-03 5.747E+00 1.882E-04 1.873E-04 1 0.00 0.00 3.492E-04 1.238E-01 9.047E-04 1.144E-03 1.872E-03 3.589E-04 4.190E+00 3 7.01 5.00 1.710E-05 1.810E-03 1.986E-05 2.107E-05 2.446E-05 5.033E-03 3.233E+00 5 14.02 10.00 7.498E-06 2.242E-05 7.975E-06 7.979E-06 7.988E-06 1.848E-01 3.162E+00 Waveband 37 of 40 completed in 5.9 sec. * * * * * Output for wavelength band 38 (720.0 to 730.0 nm; nominal wavelength = 725.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 20.7 m at 725.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 720.0 nm to 730.0 nm: Ed(diffuse) = 2.217E-01 Ed(direct) = 6.861E-01 Ed(total) = 9.077E-01 Absorption Coefficients of Individual Components at 725.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 1.4890 0.0031 0.0004 1.4925 3 9.372 5.000 1.4890 0.0031 0.0004 1.4925 5 18.745 10.000 1.4890 0.0031 0.0004 1.4925 Scattering Coefficients of Individual Components at 725.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0006 0.3814 0.0000 0.3820 3 9.372 5.000 0.0006 0.3814 0.0000 0.3820 5 18.745 10.000 0.0006 0.3814 0.0000 0.3820 Backscattering Coefficients of Individual Components at 725.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00029 0.00381 0.00000 0.00410 3 9.372 5.000 0.00029 0.00381 0.00000 0.00410 5 18.745 10.000 0.00029 0.00381 0.00000 0.00410 Summary of Inherent Optical Properties at 725.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 1.4925 0.3820 1.8745 0.2038 0.00410 0.01074 3 9.372 5.000 1.4925 0.3820 1.8745 0.2038 0.00410 0.01074 5 18.745 10.000 1.4925 0.3820 1.8745 0.2038 0.00410 0.01074 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 5.9161E-01 8 20.00 1.7914E-01 7 30.00 4.1676E-02 6 40.00 1.0277E-02 5 50.00 3.1476E-03 4 60.00 1.2107E-03 3 70.00 5.5819E-04 2 80.00 2.9584E-04 1 87.50 1.9724E-04 1 92.50 1.5530E-04 2 100.00 1.1498E-04 3 110.00 8.3456E-05 4 120.00 6.6358E-05 5 130.00 5.7144E-05 6 140.00 5.2320E-05 7 150.00 4.9936E-05 8 160.00 4.8862E-05 9 170.00 4.8438E-05 10 180.00 4.8304E-05 Asymptotic AOP values are MUu(inf) = 0.3920 MUd(inf) = 0.9432 MU(inf) = 0.9404 R(inf) = 0.0009 Lu(inf)/Ed(inf) = 0.000215 (1/sr) k(inf) = 1.5873 (1/m) absorp(check) = 1.4928 = 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 8.0237E-02 1.2409E+00 1.3211E+00 2.9572E-02 9.0772E-01 0.3686 0.7315 0.6647 3.2578E-02 1 0.00 0.00 2.1809E-03 9.7579E-01 9.7797E-01 8.3920E-04 8.7899E-01 0.3848 0.9008 0.8979 9.5474E-04 3 9.37 5.00 2.3436E-05 2.7305E-04 2.9649E-04 1.1861E-05 2.3869E-04 0.5061 0.8742 0.7651 4.9693E-02 5 18.74 10.00 1.0215E-05 1.1487E-05 2.1703E-05 5.1883E-06 6.0668E-06 0.5079 0.5281 0.0405 8.5518E-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 1.61880 1.65926 1.65917 1.60956 1.66193 1.66198 1.59453 5.000 5.010 5.005 0.19677 1.50614 1.40201 0.18901 1.56044 1.63267 0.18219 10.000 10.010 10.005 0.16454 0.16867 0.16673 0.16479 0.17540 0.23809 0.16550 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 1.06736E-04 5.01651E-03 5.12324E-03 1.17587E-04 0.083868 9 1 10.0 0.0 180.0 3.69077E-02 1.10039E-04 1.40249E-03 1.51253E-03 1.21226E-04 0.038000 9 4 10.0 45.0 135.0 4.05516E-02 1.08966E-04 1.63631E-03 1.74527E-03 1.20044E-04 0.040351 9 7 10.0 90.0 90.0 5.47885E-02 1.07353E-04 3.56238E-03 3.66974E-03 1.18267E-04 0.065021 8 1 20.0 0.0 180.0 2.89905E-02 1.11809E-04 7.11767E-04 8.23576E-04 1.23176E-04 0.024552 8 4 20.0 45.0 135.0 3.22742E-02 1.09658E-04 8.44069E-04 9.53727E-04 1.20806E-04 0.026153 8 7 20.0 90.0 90.0 4.74577E-02 1.07307E-04 2.01923E-03 2.12654E-03 1.18216E-04 0.042548 7 1 30.0 0.0 180.0 2.51363E-02 1.13920E-04 6.05085E-04 7.19005E-04 1.25501E-04 0.024072 7 4 30.0 45.0 135.0 2.78712E-02 1.12299E-04 6.80191E-04 7.92489E-04 1.23715E-04 0.024405 7 7 30.0 90.0 90.0 4.06205E-02 1.08664E-04 1.20074E-03 1.30940E-03 1.19711E-04 0.029560 6 1 40.0 0.0 180.0 2.38591E-02 1.15228E-04 6.72780E-04 7.88009E-04 1.26943E-04 0.028198 6 4 40.0 45.0 135.0 2.60886E-02 1.13030E-04 7.29677E-04 8.42707E-04 1.24521E-04 0.027969 6 7 40.0 90.0 90.0 3.66280E-02 1.08999E-04 1.05899E-03 1.16799E-03 1.20080E-04 0.028912 5 1 50.0 0.0 180.0 2.50155E-02 1.16845E-04 1.06277E-03 1.17962E-03 1.28724E-04 0.042485 5 4 50.0 45.0 135.0 2.66574E-02 1.13806E-04 1.10721E-03 1.22102E-03 1.25376E-04 0.041535 5 7 50.0 90.0 90.0 3.54342E-02 1.09975E-04 1.43142E-03 1.54139E-03 1.21155E-04 0.040396 4 1 60.0 0.0 180.0 2.96938E-02 1.15247E-04 2.47576E-03 2.59101E-03 1.26963E-04 0.083377 4 4 60.0 45.0 135.0 3.03658E-02 1.11972E-04 2.44477E-03 2.55674E-03 1.23355E-04 0.080511 4 7 60.0 90.0 90.0 3.74977E-02 1.09809E-04 2.85494E-03 2.96475E-03 1.20973E-04 0.076136 3 1 70.0 0.0 180.0 4.12003E-02 1.07050E-04 6.83872E-03 6.94577E-03 1.17933E-04 0.165987 3 4 70.0 45.0 135.0 4.00407E-02 1.05159E-04 6.58011E-03 6.68527E-03 1.15849E-04 0.164336 3 7 70.0 90.0 90.0 4.47645E-02 1.03835E-04 7.15556E-03 7.25940E-03 1.14391E-04 0.159849 2 1 80.0 0.0 180.0 6.99999E-02 9.18618E-05 1.69990E-02 1.70909E-02 1.01201E-04 0.242843 2 4 80.0 45.0 135.0 6.48186E-02 9.00885E-05 1.64416E-02 1.65317E-02 9.92470E-05 0.253655 2 7 80.0 90.0 90.0 6.43978E-02 8.96677E-05 1.72188E-02 1.73085E-02 9.87834E-05 0.267382 1 1 87.5 0.0 180.0 1.13177E-01 7.42551E-05 2.99801E-02 3.00544E-02 8.18040E-05 0.264896 1 4 87.5 45.0 135.0 1.01902E-01 6.94503E-05 2.97950E-02 2.98645E-02 7.65107E-05 0.292389 1 7 87.5 90.0 90.0 9.27084E-02 7.72471E-05 3.04933E-02 3.05705E-02 8.51002E-05 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 5.123E-03 5.981E-02 7.162E-02 6.164E-02 9.265E-02 5.644E-03 5.772E+00 1.067E-04 1.176E-04 1 0.00 0.00 1.981E-04 1.113E-01 5.721E-04 7.280E-04 1.208E-03 2.254E-04 4.236E+00 3 9.37 5.00 4.009E-06 1.433E-04 3.698E-06 3.750E-06 3.893E-06 1.679E-02 2.959E+00 5 18.74 10.00 1.753E-06 2.258E-06 1.602E-06 1.602E-06 1.603E-06 2.889E-01 2.960E+00 Waveband 38 of 40 completed in 7.3 sec. * * * * * Output for wavelength band 39 (730.0 to 740.0 nm; nominal wavelength = 735.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 18.0 m at 735.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 730.0 nm to 740.0 nm: Ed(diffuse) = 2.418E-01 Ed(direct) = 7.532E-01 Ed(total) = 9.950E-01 Absorption Coefficients of Individual Components at 735.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 2.1289 0.0010 0.0003 2.1303 3 12.535 5.000 2.1289 0.0010 0.0003 2.1303 5 25.071 10.000 2.1289 0.0010 0.0003 2.1303 Scattering Coefficients of Individual Components at 735.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0005 0.3762 0.0000 0.3768 3 12.535 5.000 0.0005 0.3762 0.0000 0.3768 5 25.071 10.000 0.0005 0.3762 0.0000 0.3768 Backscattering Coefficients of Individual Components at 735.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00027 0.00376 0.00000 0.00404 3 12.535 5.000 0.00027 0.00376 0.00000 0.00404 5 25.071 10.000 0.00027 0.00376 0.00000 0.00404 Summary of Inherent Optical Properties at 735.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 2.1303 0.3768 2.5071 0.1503 0.00404 0.01071 3 12.535 5.000 2.1303 0.3768 2.5071 0.1503 0.00404 0.01071 5 25.071 10.000 2.1303 0.3768 2.5071 0.1503 0.00404 0.01071 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 4.9569E-01 8 20.00 1.1506E-01 7 30.00 2.1949E-02 6 40.00 4.9814E-03 5 50.00 1.5133E-03 4 60.00 5.8999E-04 3 70.00 2.7576E-04 2 80.00 1.4760E-04 1 87.50 9.8952E-05 1 92.50 7.8244E-05 2 100.00 5.8156E-05 3 110.00 4.2427E-05 4 120.00 3.3928E-05 5 130.00 2.9387E-05 6 140.00 2.7051E-05 7 150.00 2.5932E-05 8 160.00 2.5455E-05 9 170.00 2.5281E-05 10 180.00 2.5229E-05 Asymptotic AOP values are MUu(inf) = 0.3950 MUd(inf) = 0.9546 MU(inf) = 0.9527 R(inf) = 0.0007 Lu(inf)/Ed(inf) = 0.000148 (1/sr) k(inf) = 2.2366 (1/m) absorp(check) = 2.1308 = 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 8.7439E-02 1.3591E+00 1.4466E+00 3.2250E-02 9.9497E-01 0.3688 0.7321 0.6655 3.2413E-02 1 0.00 0.00 1.6365E-03 1.0689E+00 1.0706E+00 6.2743E-04 9.6334E-01 0.3834 0.9012 0.8993 6.5130E-04 3 12.54 5.00 1.1362E-05 2.1032E-05 3.2394E-05 5.8294E-06 1.4472E-05 0.5131 0.6881 0.2668 4.0282E-01 5 25.07 10.00 4.4258E-06 4.8489E-06 9.2747E-06 2.2659E-06 2.5534E-06 0.5120 0.5266 0.0310 8.8741E-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 2.35956 2.37514 2.37512 2.32519 2.36864 2.36867 2.29321 5.000 5.010 5.005 0.19311 1.05167 0.74970 0.19310 1.34645 2.13199 0.19375 10.000 10.010 10.005 0.19042 0.18609 0.18815 0.19062 0.18659 0.15481 0.19141 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 7.96387E-05 5.49659E-03 5.57622E-03 8.00415E-05 0.084245 9 1 10.0 0.0 180.0 4.02588E-02 8.21420E-05 1.53313E-03 1.61528E-03 8.25574E-05 0.038082 9 4 10.0 45.0 135.0 4.42335E-02 8.13288E-05 1.78913E-03 1.87046E-03 8.17401E-05 0.040447 9 7 10.0 90.0 90.0 5.97632E-02 8.00951E-05 3.90105E-03 3.98115E-03 8.05001E-05 0.065275 8 1 20.0 0.0 180.0 3.16227E-02 8.34853E-05 7.76560E-04 8.60045E-04 8.39075E-05 0.024557 8 4 20.0 45.0 135.0 3.52046E-02 8.18570E-05 9.21141E-04 1.00300E-03 8.22710E-05 0.026165 8 7 20.0 90.0 90.0 5.17667E-02 8.00536E-05 2.20836E-03 2.28842E-03 8.04585E-05 0.042660 7 1 30.0 0.0 180.0 2.74186E-02 8.50786E-05 6.60025E-04 7.45104E-04 8.55089E-05 0.024072 7 4 30.0 45.0 135.0 3.04019E-02 8.38372E-05 7.41971E-04 8.25808E-04 8.42612E-05 0.024405 7 7 30.0 90.0 90.0 4.43079E-02 8.10584E-05 1.31090E-03 1.39196E-03 8.14683E-05 0.029586 6 1 40.0 0.0 180.0 2.60254E-02 8.60699E-05 7.33866E-04 8.19936E-04 8.65052E-05 0.028198 6 4 40.0 45.0 135.0 2.84574E-02 8.43880E-05 7.95930E-04 8.80318E-04 8.48148E-05 0.027969 6 7 40.0 90.0 90.0 3.99538E-02 8.12977E-05 1.15521E-03 1.23651E-03 8.17089E-05 0.028914 5 1 50.0 0.0 180.0 2.72868E-02 8.72829E-05 1.15927E-03 1.24655E-03 8.77244E-05 0.042485 5 4 50.0 45.0 135.0 2.90778E-02 8.49683E-05 1.20774E-03 1.29271E-03 8.53980E-05 0.041535 5 7 50.0 90.0 90.0 3.86516E-02 8.20223E-05 1.56139E-03 1.64341E-03 8.24371E-05 0.040396 4 1 60.0 0.0 180.0 3.23899E-02 8.60929E-05 2.70056E-03 2.78665E-03 8.65283E-05 0.083377 4 4 60.0 45.0 135.0 3.31229E-02 8.35994E-05 2.66675E-03 2.75035E-03 8.40223E-05 0.080511 4 7 60.0 90.0 90.0 4.09024E-02 8.18998E-05 3.11416E-03 3.19606E-03 8.23140E-05 0.076136 3 1 70.0 0.0 180.0 4.49412E-02 7.99722E-05 7.45965E-03 7.53963E-03 8.03766E-05 0.165987 3 4 70.0 45.0 135.0 4.36762E-02 7.85147E-05 7.17757E-03 7.25608E-03 7.89118E-05 0.164336 3 7 70.0 90.0 90.0 4.88290E-02 7.74552E-05 7.80527E-03 7.88272E-03 7.78470E-05 0.159849 2 1 80.0 0.0 180.0 7.63557E-02 6.86284E-05 1.85425E-02 1.86111E-02 6.89755E-05 0.242843 2 4 80.0 45.0 135.0 7.07039E-02 6.72668E-05 1.79344E-02 1.80017E-02 6.76070E-05 0.253655 2 7 80.0 90.0 90.0 7.02449E-02 6.69009E-05 1.87822E-02 1.88491E-02 6.72393E-05 0.267382 1 1 87.5 0.0 180.0 1.23453E-01 5.54790E-05 3.27022E-02 3.27577E-02 5.57596E-05 0.264896 1 4 87.5 45.0 135.0 1.11154E-01 5.18628E-05 3.25003E-02 3.25522E-02 5.21251E-05 0.292389 1 7 87.5 90.0 90.0 1.01126E-01 5.76530E-05 3.32619E-02 3.33196E-02 5.79446E-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 5.576E-03 6.524E-02 7.811E-02 6.722E-02 1.011E-01 5.604E-03 5.784E+00 7.964E-05 8.004E-05 1 0.00 0.00 1.478E-04 1.214E-01 4.733E-04 6.022E-04 1.003E-03 1.534E-04 4.245E+00 3 12.54 5.00 2.020E-06 8.156E-06 1.738E-06 1.739E-06 1.742E-06 1.396E-01 2.886E+00 5 25.07 10.00 7.803E-07 9.310E-07 6.801E-07 6.801E-07 6.801E-07 3.056E-01 2.904E+00 Waveband 39 of 40 completed in 8.8 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 17.1 m at 745.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 740.0 nm to 750.0 nm: Ed(diffuse) = 2.544E-01 Ed(direct) = 7.973E-01 Ed(total) = 1.052E+00 Absorption Coefficients of Individual Components at 745.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 2.4590 0.0000 0.0003 2.4593 3 14.155 5.000 2.4590 0.0000 0.0003 2.4593 5 28.310 10.000 2.4590 0.0000 0.0003 2.4593 Scattering Coefficients of Individual Components at 745.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0005 0.3712 0.0000 0.3717 3 14.155 5.000 0.0005 0.3712 0.0000 0.3717 5 28.310 10.000 0.0005 0.3712 0.0000 0.3717 Backscattering Coefficients of Individual Components at 745.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00026 0.00371 0.00000 0.00397 3 14.155 5.000 0.00026 0.00371 0.00000 0.00397 5 28.310 10.000 0.00026 0.00371 0.00000 0.00397 Summary of Inherent Optical Properties at 745.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 2.4593 0.3717 2.8310 0.1313 0.00397 0.01068 3 14.155 5.000 2.4593 0.3717 2.8310 0.1313 0.00397 0.01068 5 28.310 10.000 2.4593 0.3717 2.8310 0.1313 0.00397 0.01068 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 4.5019E-01 8 20.00 9.2578E-02 7 30.00 1.6325E-02 6 40.00 3.6164E-03 5 50.00 1.1013E-03 4 60.00 4.3236E-04 3 70.00 2.0319E-04 2 80.00 1.0915E-04 1 87.50 7.3313E-05 1 92.50 5.8050E-05 2 100.00 4.3199E-05 3 110.00 3.1565E-05 4 120.00 2.5286E-05 5 130.00 2.1943E-05 6 140.00 2.0234E-05 7 150.00 1.9425E-05 8 160.00 1.9088E-05 9 170.00 1.8970E-05 10 180.00 1.8936E-05 Asymptotic AOP values are MUu(inf) = 0.3960 MUd(inf) = 0.9588 MU(inf) = 0.9572 R(inf) = 0.0006 Lu(inf)/Ed(inf) = 0.000125 (1/sr) k(inf) = 2.5700 (1/m) absorp(check) = 2.4600 = 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 9.2063E-02 1.4356E+00 1.5276E+00 3.4003E-02 1.0517E+00 0.3693 0.7326 0.6662 3.2332E-02 1 0.00 0.00 1.4707E-03 1.1296E+00 1.1310E+00 5.6290E-04 1.0182E+00 0.3827 0.9014 0.8998 5.5282E-04 3 14.15 5.00 7.3125E-06 9.5769E-06 1.6889E-05 3.7557E-06 5.6743E-06 0.5136 0.5925 0.1136 6.6188E-01 5 28.31 10.00 2.4150E-06 2.6477E-06 5.0627E-06 1.2371E-06 1.3954E-06 0.5123 0.5270 0.0313 8.8659E-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 2.74230 2.74411 2.74410 2.69626 2.73295 2.73297 2.65711 5.000 5.010 5.005 0.22794 0.60824 0.44340 0.22840 0.82913 2.01562 0.22960 10.000 10.010 10.005 0.22024 0.21664 0.21836 0.22063 0.21733 0.19154 0.22175 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 7.13227E-05 5.80772E-03 5.87904E-03 6.78189E-05 0.084603 9 1 10.0 0.0 180.0 4.23580E-02 7.35761E-05 1.61637E-03 1.68994E-03 6.99617E-05 0.038160 9 4 10.0 45.0 135.0 4.65400E-02 7.28444E-05 1.88665E-03 1.95950E-03 6.92659E-05 0.040538 9 7 10.0 90.0 90.0 6.28794E-02 7.17322E-05 4.11964E-03 4.19137E-03 6.82083E-05 0.065516 8 1 20.0 0.0 180.0 3.32716E-02 7.47883E-05 8.17220E-04 8.92008E-04 7.11143E-05 0.024562 8 4 20.0 45.0 135.0 3.70403E-02 7.33240E-05 9.69603E-04 1.04293E-03 6.97219E-05 0.026177 8 7 20.0 90.0 90.0 5.44660E-02 7.16972E-05 2.32928E-03 2.40098E-03 6.81750E-05 0.042766 7 1 30.0 0.0 180.0 2.88483E-02 7.62246E-05 6.94441E-04 7.70666E-04 7.24800E-05 0.024072 7 4 30.0 45.0 135.0 3.19873E-02 7.51045E-05 7.80681E-04 8.55785E-04 7.14149E-05 0.024406 7 7 30.0 90.0 90.0 4.66176E-02 7.26002E-05 1.38039E-03 1.45299E-03 6.90337E-05 0.029611 6 1 40.0 0.0 180.0 2.73825E-02 7.71234E-05 7.72133E-04 8.49256E-04 7.33347E-05 0.028198 6 4 40.0 45.0 135.0 2.99413E-02 7.56065E-05 8.37433E-04 9.13039E-04 7.18923E-05 0.027969 6 7 40.0 90.0 90.0 4.20371E-02 7.28213E-05 1.21553E-03 1.28835E-03 6.92439E-05 0.028916 5 1 50.0 0.0 180.0 2.87096E-02 7.82186E-05 1.21972E-03 1.29793E-03 7.43761E-05 0.042485 5 4 50.0 45.0 135.0 3.05940E-02 7.61339E-05 1.27072E-03 1.34685E-03 7.23938E-05 0.041535 5 7 50.0 90.0 90.0 4.06670E-02 7.34797E-05 1.64280E-03 1.71628E-03 6.98700E-05 0.040396 4 1 60.0 0.0 180.0 3.40788E-02 7.71600E-05 2.84137E-03 2.91853E-03 7.33695E-05 0.083377 4 4 60.0 45.0 135.0 3.48501E-02 7.49151E-05 2.80580E-03 2.88072E-03 7.12348E-05 0.080511 4 7 60.0 90.0 90.0 4.30352E-02 7.33810E-05 3.27654E-03 3.34992E-03 6.97761E-05 0.076136 3 1 70.0 0.0 180.0 4.72846E-02 7.16820E-05 7.84863E-03 7.92031E-03 6.81606E-05 0.165987 3 4 70.0 45.0 135.0 4.59537E-02 7.03672E-05 7.55184E-03 7.62220E-03 6.69103E-05 0.164336 3 7 70.0 90.0 90.0 5.13751E-02 6.94139E-05 8.21226E-03 8.28168E-03 6.60039E-05 0.159849 2 1 80.0 0.0 180.0 8.03372E-02 6.15206E-05 1.95094E-02 1.95709E-02 5.84984E-05 0.242843 2 4 80.0 45.0 135.0 7.43907E-02 6.02942E-05 1.88696E-02 1.89299E-02 5.73323E-05 0.253655 2 7 80.0 90.0 90.0 7.39078E-02 5.99687E-05 1.97616E-02 1.98216E-02 5.70227E-05 0.267382 1 1 87.5 0.0 180.0 1.29891E-01 4.97388E-05 3.44075E-02 3.44572E-02 4.72954E-05 0.264896 1 4 87.5 45.0 135.0 1.16950E-01 4.64936E-05 3.41950E-02 3.42415E-02 4.42095E-05 0.292389 1 7 87.5 90.0 90.0 1.06399E-01 5.16926E-05 3.49964E-02 3.50481E-02 4.91532E-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 5.879E-03 6.865E-02 8.217E-02 7.072E-02 1.063E-01 5.590E-03 5.784E+00 7.132E-05 6.782E-05 1 0.00 0.00 1.324E-04 1.277E-01 4.469E-04 5.684E-04 9.483E-04 1.300E-04 4.252E+00 3 14.15 5.00 1.305E-06 2.686E-06 1.116E-06 1.117E-06 1.117E-06 2.299E-01 2.879E+00 5 28.31 10.00 4.267E-07 5.097E-07 3.707E-07 3.707E-07 3.707E-07 3.058E-01 2.900E+00 Waveband 40 of 40 completed in 9.5 sec. Energy Eo as a function of depth and wavelength Units are W/m^2 [values are integrated over the wavelength bands] depth 355.0 365.0 375.0 385.0 395.0 405.0 415.0 425.0 435.0 445.0 455.0 465.0 475.0 485.0 495.0 505.0 515.0 525.0 535.0 545.0 555.0 565.0 575.0 585.0 595.0 605.0 615.0 625.0 635.0 645.0 655.0 665.0 675.0 685.0 695.0 705.0 715.0 725.0 735.0 745.0 in air 1.080E+01 1.234E+01 1.223E+01 1.071E+01 1.314E+01 1.838E+01 1.932E+01 1.837E+01 1.875E+01 2.200E+01 2.341E+01 2.319E+01 2.344E+01 2.261E+01 2.287E+01 2.238E+01 2.145E+01 2.187E+01 2.205E+01 2.170E+01 2.150E+01 2.127E+01 2.122E+01 2.061E+01 1.976E+01 2.022E+01 1.971E+01 1.946E+01 1.918E+01 1.855E+01 1.770E+01 1.841E+01 1.807E+01 1.656E+01 1.594E+01 1.601E+01 1.464E+01 1.321E+01 1.447E+01 1.528E+01 0.0 7.656E+00 8.906E+00 8.945E+00 7.920E+00 9.804E+00 1.374E+01 1.445E+01 1.377E+01 1.407E+01 1.658E+01 1.775E+01 1.766E+01 1.799E+01 1.745E+01 1.772E+01 1.736E+01 1.657E+01 1.699E+01 1.719E+01 1.693E+01 1.676E+01 1.660E+01 1.642E+01 1.571E+01 1.488E+01 1.507E+01 1.468E+01 1.449E+01 1.428E+01 1.381E+01 1.316E+01 1.370E+01 1.353E+01 1.247E+01 1.194E+01 1.190E+01 1.085E+01 9.780E+00 1.071E+01 1.131E+01 5.0 3.118E+00 3.938E+00 4.174E+00 3.856E+00 4.894E+00 6.752E+00 6.922E+00 6.559E+00 6.550E+00 7.925E+00 8.800E+00 8.986E+00 9.614E+00 9.671E+00 1.008E+01 9.893E+00 9.082E+00 9.733E+00 1.007E+01 9.986E+00 9.792E+00 9.769E+00 9.033E+00 7.097E+00 4.912E+00 2.910E+00 2.700E+00 2.402E+00 2.095E+00 1.785E+00 1.274E+00 9.000E-01 8.519E-01 7.306E-01 5.016E-01 2.224E-01 3.941E-02 2.965E-03 3.239E-04 1.689E-04 10.0 1.115E+00 1.533E+00 1.719E+00 1.663E+00 2.170E+00 2.955E+00 2.959E+00 2.796E+00 2.735E+00 3.406E+00 3.934E+00 4.132E+00 4.659E+00 4.872E+00 5.220E+00 5.149E+00 4.550E+00 5.109E+00 5.416E+00 5.420E+00 5.273E+00 5.308E+00 4.587E+00 2.957E+00 1.499E+00 5.238E-01 4.638E-01 3.730E-01 2.891E-01 2.181E-01 1.188E-01 6.643E-02 8.235E-02 8.575E-02 4.867E-02 1.164E-02 1.164E-03 2.170E-04 9.275E-05 5.063E-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 3.205E+01 3.765E+01 3.834E+01 3.447E+01 4.339E+01 6.220E+01 6.702E+01 6.525E+01 6.818E+01 8.181E+01 8.902E+01 9.012E+01 9.305E+01 9.166E+01 9.462E+01 9.446E+01 9.233E+01 9.597E+01 9.862E+01 9.885E+01 9.974E+01 1.005E+02 1.020E+02 1.008E+02 9.828E+01 1.023E+02 1.013E+02 1.016E+02 1.018E+02 1.000E+02 9.691E+01 1.023E+02 1.019E+02 9.481E+01 9.257E+01 9.434E+01 8.747E+01 8.005E+01 8.886E+01 9.512E+01 0.0 2.272E+01 2.717E+01 2.804E+01 2.548E+01 3.237E+01 4.650E+01 5.011E+01 4.891E+01 5.114E+01 6.166E+01 6.749E+01 6.865E+01 7.141E+01 7.074E+01 7.333E+01 7.327E+01 7.131E+01 7.457E+01 7.687E+01 7.714E+01 7.774E+01 7.837E+01 7.893E+01 7.683E+01 7.398E+01 7.618E+01 7.548E+01 7.571E+01 7.581E+01 7.445E+01 7.207E+01 7.614E+01 7.635E+01 7.140E+01 6.935E+01 7.014E+01 6.482E+01 5.926E+01 6.577E+01 7.043E+01 5.0 9.253E+00 1.202E+01 1.308E+01 1.241E+01 1.616E+01 2.286E+01 2.401E+01 2.330E+01 2.381E+01 2.947E+01 3.347E+01 3.492E+01 3.817E+01 3.920E+01 4.168E+01 4.176E+01 3.909E+01 4.271E+01 4.502E+01 4.549E+01 4.542E+01 4.613E+01 4.341E+01 3.470E+01 2.443E+01 1.471E+01 1.388E+01 1.255E+01 1.112E+01 9.625E+00 6.973E+00 5.002E+00 4.806E+00 4.183E+00 2.913E+00 1.310E+00 2.355E-01 1.797E-02 1.990E-03 1.052E-03 10.0 3.307E+00 4.676E+00 5.389E+00 5.350E+00 7.164E+00 1.000E+01 1.027E+01 9.930E+00 9.944E+00 1.267E+01 1.496E+01 1.606E+01 1.850E+01 1.975E+01 2.159E+01 2.173E+01 1.959E+01 2.242E+01 2.422E+01 2.469E+01 2.446E+01 2.507E+01 2.204E+01 1.446E+01 7.453E+00 2.648E+00 2.384E+00 1.948E+00 1.534E+00 1.176E+00 6.504E-01 3.692E-01 4.646E-01 4.909E-01 2.827E-01 6.858E-02 6.957E-03 1.315E-03 5.698E-04 3.152E-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 2.7799E+03 1.8379E+03 0.00 2.1119E+03 1.7939E+03 5.00 8.0481E+02 6.2030E+02 10.00 3.6174E+02 2.6643E+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 0.22693 5.000 5.010 5.005 0.16852 10.000 10.010 10.005 0.15509 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) (0.306, 0.331, 4.239E+03) (0.300, 0.333, 8.173E+02) (0.242, 0.322, 2.455E+02) 0.00 (0.327, 0.339, 1.001E+05) (0.243, 0.326, 1.956E+03) (0.242, 0.322, 4.554E+02) 5.00 (0.272, 0.362, 4.456E+04) (0.226, 0.347, 1.073E+03) (0.226, 0.343, 2.303E+02) 10.00 (0.249, 0.386, 2.095E+04) (0.221, 0.372, 5.524E+02) (0.221, 0.368, 1.142E+02) WARNING: the current estimate for z_SD is greater than the maximum output depth for the run: z_SD cannot be further revised max output depth = 10.00 For a better estimate, rerun HydroLight to a deeper depth Run completed on 07/20/2011 at 12:16:11.4 Total (wall clock) run time = 165.6 sec