======================================================== | | | 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: lab 2 - iop from ex2 10 mg minerals (07/20/2011 22:46) Run started on 07/20/2011 at 22:46:28.8 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 15.000 7 415.00 8 20.000 0.9361 8 105.00 8 15.010 8 425.00 9 10.000 0.9811 9 120.00 9 20.000 9 435.00 10 0.000 0.9981 10 135.00 10 20.010 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 "abCASE2" is being used: Absorption and scattering coefficients for case 1 or 2 water are used. component 1 is pure water component 2 is pigmented particles (Chl) component 3 is CDOM (yellow matter) component 4 is mineral particles 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 1.00 (mg/m^3) Scattering for component 2 calculated using a Power Law model b = 0.4070 X^(0.7950) * (660./wavenm)^(1.0000) The phase function for component 2 will be chosen to have a bb/b ratio of 0.0100 CDOM absorption will covary with chlorophyll according to a Case 1 model The mineral concentration is constant with depth with a value of 0.00 (g/m^3) Absorption for component 4 calculated from the Prieur-Sathyenranath-Morel model 141 records read Scattering for component 4 calculated from b = c - a, using a Power Law model c = 0.4070 X^(0.7950) * (660./wavenm)^(1.0000) The phase function for component 4 will be chosen to have a bb/b ratio of 0.0300 Component concentration values at the requested output depths depth Chl aCDOM(355.0) Mineral (m) (mg/m^3) (1/m) (g/m^3) 0.000 1.000 0.039 10.000 5.000 1.000 0.039 10.000 10.000 1.000 0.039 10.000 15.000 1.000 0.039 10.000 20.000 1.000 0.039 10.000 ***** 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 20.00 m The actual depth at which the infinitely deep bottom boundary condition will be applied will be determined dynamically from the IOPs to insure a good solution at the requested output depths ***** END BOTTOM BOUNDARY SPECIFICATIONS ***** Initialization of Hydrolight Completed in 0.2 sec. * * * * * Output for wavelength band 1 (350.0 to 360.0 nm; nominal wavelength = 355.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 25.9 m at 355.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 350.0 nm to 360.0 nm: Ed(diffuse) = 2.986E-01 Ed(direct) = 3.214E-01 Ed(total) = 6.200E-01 Absorption Coefficients of Individual Components at 355.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0176 0.0339 0.0394 0.1512 0.2421 3 27.900 5.000 0.0176 0.0339 0.0394 0.1512 0.2421 5 55.799 10.000 0.0176 0.0339 0.0394 0.1512 0.2421 7 83.699 15.000 0.0176 0.0339 0.0394 0.1512 0.2421 9 111.598 20.000 0.0176 0.0339 0.0394 0.1512 0.2421 Scattering Coefficients of Individual Components at 355.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0127 0.7567 0.0000 4.5684 5.3378 3 27.900 5.000 0.0127 0.7567 0.0000 4.5684 5.3378 5 55.799 10.000 0.0127 0.7567 0.0000 4.5684 5.3378 7 83.699 15.000 0.0127 0.7567 0.0000 4.5684 5.3378 9 111.598 20.000 0.0127 0.7567 0.0000 4.5684 5.3378 Backscattering Coefficients of Individual Components at 355.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00634 0.00757 0.00000 0.13705 0.15096 3 27.900 5.000 0.00634 0.00757 0.00000 0.13705 0.15096 5 55.799 10.000 0.00634 0.00757 0.00000 0.13705 0.15096 7 83.699 15.000 0.00634 0.00757 0.00000 0.13705 0.15096 9 111.598 20.000 0.00634 0.00757 0.00000 0.13705 0.15096 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 0.2421 5.3378 5.5799 0.9566 0.15096 0.02828 3 27.900 5.000 0.2421 5.3378 5.5799 0.9566 0.15096 0.02828 5 55.799 10.000 0.2421 5.3378 5.5799 0.9566 0.15096 0.02828 7 83.699 15.000 0.2421 5.3378 5.5799 0.9566 0.15096 0.02828 9 111.598 20.000 0.2421 5.3378 5.5799 0.9566 0.15096 0.02828 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.7769E-01 8 20.00 9.2051E-01 7 30.00 8.3549E-01 6 40.00 7.3420E-01 5 50.00 6.2819E-01 4 60.00 5.2684E-01 3 70.00 4.3634E-01 2 80.00 3.6019E-01 1 87.50 3.1116E-01 1 92.50 2.7996E-01 2 100.00 2.4365E-01 3 110.00 2.0560E-01 4 120.00 1.7613E-01 5 130.00 1.5400E-01 6 140.00 1.3776E-01 7 150.00 1.2626E-01 8 160.00 1.1862E-01 9 170.00 1.1425E-01 10 180.00 1.1268E-01 Asymptotic AOP values are MUu(inf) = 0.4223 MUd(inf) = 0.5983 MU(inf) = 0.3479 R(inf) = 0.2296 Lu(inf)/Ed(inf) = 0.052842 (1/sr) k(inf) = 0.6960 (1/m) absorp(check) = 0.2421 = 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 2.0556E-01 9.7286E-01 1.1784E+00 8.6324E-02 6.2002E-01 0.4199 0.6373 0.4529 1.3923E-01 1 0.00 0.00 2.9582E-01 9.1027E-01 1.2061E+00 1.3406E-01 6.6773E-01 0.4532 0.7336 0.4425 2.0077E-01 3 27.90 5.00 1.2943E-02 3.9801E-02 5.2744E-02 5.4666E-03 2.3819E-02 0.4224 0.5985 0.3479 2.2951E-01 5 55.80 10.00 3.9893E-04 1.2267E-03 1.6256E-03 1.6847E-04 7.3396E-04 0.4223 0.5983 0.3479 2.2954E-01 7 83.70 15.00 1.2290E-05 3.7793E-05 5.0083E-05 5.1904E-06 2.2612E-05 0.4223 0.5983 0.3479 2.2954E-01 9 111.60 20.00 3.7863E-07 1.1643E-06 1.5429E-06 1.5990E-07 6.9662E-07 0.4223 0.5983 0.3479 2.2954E-01 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 0.36862 0.52195 0.48432 0.33639 0.50486 0.54723 0.45869 5.000 5.010 5.005 0.69545 0.69545 0.69545 0.69555 0.69574 0.69580 0.69570 10.000 10.010 10.005 0.69599 0.69599 0.69599 0.69599 0.69599 0.69599 0.69599 15.000 15.010 15.005 0.69599 0.69598 0.69598 0.69599 0.69599 0.69599 0.69599 20.000 20.010 20.005 0.69598 0.69597 0.69598 0.69599 0.69599 0.69599 0.69599 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 1.85459E-02 3.68807E-03 2.22340E-02 2.99116E-02 0.045776 9 1 10.0 0.0 180.0 4.97141E-02 1.86899E-02 1.47713E-03 2.01671E-02 3.01439E-02 0.029712 9 4 10.0 45.0 135.0 5.46224E-02 1.86659E-02 1.67395E-03 2.03399E-02 3.01052E-02 0.030646 9 7 10.0 90.0 90.0 7.37994E-02 1.87543E-02 2.89959E-03 2.16539E-02 3.02478E-02 0.039290 8 1 20.0 0.0 180.0 3.90498E-02 1.88334E-02 9.37902E-04 1.97713E-02 3.03752E-02 0.024018 8 4 20.0 45.0 135.0 4.34729E-02 1.87380E-02 1.08299E-03 1.98210E-02 3.02215E-02 0.024912 8 7 20.0 90.0 90.0 6.39248E-02 1.89240E-02 1.99770E-03 2.09217E-02 3.05215E-02 0.031251 7 1 30.0 0.0 180.0 3.38583E-02 1.91057E-02 8.15058E-04 1.99208E-02 3.08146E-02 0.024073 7 4 30.0 45.0 135.0 3.75263E-02 1.92073E-02 9.13617E-04 2.01209E-02 3.09784E-02 0.024346 7 7 30.0 90.0 90.0 5.48121E-02 1.93764E-02 1.47534E-03 2.08517E-02 3.12510E-02 0.026916 6 1 40.0 0.0 180.0 3.21379E-02 1.93416E-02 9.06244E-04 2.02479E-02 3.11950E-02 0.028199 6 4 40.0 45.0 135.0 3.51411E-02 1.94555E-02 9.82865E-04 2.04383E-02 3.13786E-02 0.027969 6 7 40.0 90.0 90.0 4.93375E-02 1.97319E-02 1.41719E-03 2.11491E-02 3.18245E-02 0.028724 5 1 50.0 0.0 180.0 3.36955E-02 1.96762E-02 1.43154E-03 2.11078E-02 3.17347E-02 0.042485 5 4 50.0 45.0 135.0 3.59071E-02 1.97057E-02 1.49141E-03 2.11971E-02 3.17822E-02 0.041535 5 7 50.0 90.0 90.0 4.77295E-02 2.00572E-02 1.92809E-03 2.19853E-02 3.23491E-02 0.040396 4 1 60.0 0.0 180.0 3.99971E-02 1.94664E-02 3.33482E-03 2.28012E-02 3.13963E-02 0.083377 4 4 60.0 45.0 135.0 4.09023E-02 1.94822E-02 3.29308E-03 2.27752E-02 3.14217E-02 0.080511 4 7 60.0 90.0 90.0 5.05090E-02 2.00981E-02 3.84556E-03 2.39437E-02 3.24151E-02 0.076136 3 1 70.0 0.0 180.0 5.54963E-02 1.80948E-02 9.21166E-03 2.73065E-02 2.91841E-02 0.165987 3 4 70.0 45.0 135.0 5.39342E-02 1.83035E-02 8.86333E-03 2.71668E-02 2.95207E-02 0.164336 3 7 70.0 90.0 90.0 6.02972E-02 1.88718E-02 9.63845E-03 2.85102E-02 3.04372E-02 0.159849 2 1 80.0 0.0 180.0 9.42890E-02 1.54965E-02 2.28974E-02 3.83940E-02 2.49934E-02 0.242843 2 4 80.0 45.0 135.0 8.73097E-02 1.56296E-02 2.21466E-02 3.77761E-02 2.52080E-02 0.253655 2 7 80.0 90.0 90.0 8.67430E-02 1.61011E-02 2.31935E-02 3.92946E-02 2.59685E-02 0.267382 1 1 87.5 0.0 180.0 1.52448E-01 1.24406E-02 4.03828E-02 5.28234E-02 2.00647E-02 0.264896 1 4 87.5 45.0 135.0 1.37261E-01 1.19374E-02 4.01335E-02 5.20709E-02 1.92532E-02 0.292389 1 7 87.5 90.0 90.0 1.24877E-01 1.35695E-02 4.10740E-02 5.46435E-02 2.18854E-02 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 2.223E-02 8.057E-02 1.026E-01 8.976E-02 1.319E-01 3.586E-02 3.883E+00 1.855E-02 2.991E-02 1 0.00 0.00 3.440E-02 1.506E-01 5.763E-02 6.408E-02 7.589E-02 5.151E-02 3.898E+00 3 27.90 5.00 1.259E-03 1.119E-02 3.277E-03 3.300E-03 3.324E-03 5.284E-02 4.343E+00 5 55.80 10.00 3.878E-05 3.442E-04 1.017E-04 1.017E-04 1.017E-04 5.284E-02 4.344E+00 7 83.70 15.00 1.195E-06 1.060E-05 3.134E-06 3.134E-06 3.134E-06 5.284E-02 4.344E+00 9 111.60 20.00 3.681E-08 3.267E-07 9.656E-08 9.656E-08 9.656E-08 5.284E-02 4.344E+00 Waveband 1 of 40 completed in 22.8 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 25.9 m at 365.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 360.0 nm to 370.0 nm: Ed(diffuse) = 3.273E-01 Ed(direct) = 3.929E-01 Ed(total) = 7.202E-01 Absorption Coefficients of Individual Components at 365.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0132 0.0348 0.0343 0.1554 0.2377 3 27.099 5.000 0.0132 0.0348 0.0343 0.1554 0.2377 5 54.198 10.000 0.0132 0.0348 0.0343 0.1554 0.2377 7 81.297 15.000 0.0132 0.0348 0.0343 0.1554 0.2377 9 108.396 20.000 0.0132 0.0348 0.0343 0.1554 0.2377 Scattering Coefficients of Individual Components at 365.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0113 0.7359 0.0000 4.4349 5.1821 3 27.099 5.000 0.0113 0.7359 0.0000 4.4349 5.1821 5 54.198 10.000 0.0113 0.7359 0.0000 4.4349 5.1821 7 81.297 15.000 0.0113 0.7359 0.0000 4.4349 5.1821 9 108.396 20.000 0.0113 0.7359 0.0000 4.4349 5.1821 Backscattering Coefficients of Individual Components at 365.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00563 0.00736 0.00000 0.13305 0.14603 3 27.099 5.000 0.00563 0.00736 0.00000 0.13305 0.14603 5 54.198 10.000 0.00563 0.00736 0.00000 0.13305 0.14603 7 81.297 15.000 0.00563 0.00736 0.00000 0.13305 0.14603 9 108.396 20.000 0.00563 0.00736 0.00000 0.13305 0.14603 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 0.2377 5.1821 5.4198 0.9561 0.14603 0.02818 3 27.099 5.000 0.2377 5.1821 5.4198 0.9561 0.14603 0.02818 5 54.198 10.000 0.2377 5.1821 5.4198 0.9561 0.14603 0.02818 7 81.297 15.000 0.2377 5.1821 5.4198 0.9561 0.14603 0.02818 9 108.396 20.000 0.2377 5.1821 5.4198 0.9561 0.14603 0.02818 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.7754E-01 8 20.00 9.2001E-01 7 30.00 8.3451E-01 6 40.00 7.3273E-01 5 50.00 6.2630E-01 4 60.00 5.2468E-01 3 70.00 4.3404E-01 2 80.00 3.5787E-01 1 87.50 3.0888E-01 1 92.50 2.7773E-01 2 100.00 2.4151E-01 3 110.00 2.0360E-01 4 120.00 1.7426E-01 5 130.00 1.5224E-01 6 140.00 1.3611E-01 7 150.00 1.2469E-01 8 160.00 1.1711E-01 9 170.00 1.1277E-01 10 180.00 1.1121E-01 Asymptotic AOP values are MUu(inf) = 0.4219 MUd(inf) = 0.5989 MU(inf) = 0.3497 R(inf) = 0.2275 Lu(inf)/Ed(inf) = 0.052272 (1/sr) k(inf) = 0.6797 (1/m) absorp(check) = 0.2377 = k(inf)*MU(inf) 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 2.3249E-01 1.1135E+00 1.3460E+00 9.8680E-02 7.2024E-01 0.4244 0.6468 0.4618 1.3701E-01 1 0.00 0.00 3.3937E-01 1.0528E+00 1.3921E+00 1.5382E-01 7.7535E-01 0.4533 0.7365 0.4465 1.9839E-01 3 27.10 5.00 1.6226E-02 5.0241E-02 6.6467E-02 6.8461E-03 3.0099E-02 0.4219 0.5991 0.3498 2.2746E-01 5 54.20 10.00 5.4266E-04 1.6803E-03 2.2230E-03 2.2894E-04 1.0064E-03 0.4219 0.5989 0.3497 2.2750E-01 7 81.30 15.00 1.8140E-05 5.6168E-05 7.4308E-05 7.6530E-06 3.3640E-05 0.4219 0.5989 0.3497 2.2750E-01 9 108.40 20.00 6.0635E-07 1.8775E-06 2.4839E-06 2.5581E-07 1.1245E-06 0.4219 0.5989 0.3497 2.2750E-01 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 0.35663 0.50685 0.47021 0.32516 0.49131 0.53247 0.44523 5.000 5.010 5.005 0.67903 0.67902 0.67902 0.67914 0.67937 0.67944 0.67933 10.000 10.010 10.005 0.67967 0.67966 0.67967 0.67967 0.67967 0.67967 0.67967 15.000 15.010 15.005 0.67967 0.67967 0.67967 0.67967 0.67967 0.67967 0.67967 20.000 20.010 20.005 0.67969 0.67969 0.67969 0.67969 0.67967 0.67967 0.67970 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 365.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 8.83253E-02 2.12827E-02 4.24954E-03 2.55322E-02 2.95492E-02 0.048112 9 1 10.0 0.0 180.0 5.45003E-02 2.14452E-02 1.64705E-03 2.30922E-02 2.97748E-02 0.030221 9 4 10.0 45.0 135.0 5.98811E-02 2.14183E-02 1.87076E-03 2.32890E-02 2.97375E-02 0.031241 9 7 10.0 90.0 90.0 8.09044E-02 2.15215E-02 3.30645E-03 2.48280E-02 2.98809E-02 0.040869 8 1 20.0 0.0 180.0 4.28092E-02 2.16076E-02 1.02960E-03 2.26372E-02 3.00003E-02 0.024051 8 4 20.0 45.0 135.0 4.76582E-02 2.14991E-02 1.19088E-03 2.26900E-02 2.98497E-02 0.024988 8 7 20.0 90.0 90.0 7.00791E-02 2.17157E-02 2.23859E-03 2.39543E-02 3.01505E-02 0.031944 7 1 30.0 0.0 180.0 3.71179E-02 2.19176E-02 8.93525E-04 2.28111E-02 3.04308E-02 0.024073 7 4 30.0 45.0 135.0 4.11402E-02 2.20354E-02 1.00175E-03 2.30371E-02 3.05943E-02 0.024350 7 7 30.0 90.0 90.0 6.00826E-02 2.22341E-02 1.62693E-03 2.38610E-02 3.08701E-02 0.027078 6 1 40.0 0.0 180.0 3.52319E-02 2.21843E-02 9.93490E-04 2.31778E-02 3.08011E-02 0.028199 6 4 40.0 45.0 135.0 3.85242E-02 2.23166E-02 1.07749E-03 2.33941E-02 3.09848E-02 0.027969 6 7 40.0 90.0 90.0 5.40874E-02 2.26408E-02 1.55425E-03 2.41951E-02 3.14349E-02 0.028736 5 1 50.0 0.0 180.0 3.69395E-02 2.25639E-02 1.56936E-03 2.41333E-02 3.13282E-02 0.042485 5 4 50.0 45.0 135.0 3.93640E-02 2.26000E-02 1.63499E-03 2.42350E-02 3.13783E-02 0.041535 5 7 50.0 90.0 90.0 5.23245E-02 2.30128E-02 2.11371E-03 2.51265E-02 3.19513E-02 0.040396 4 1 60.0 0.0 180.0 4.38478E-02 2.23189E-02 3.65587E-03 2.59748E-02 3.09880E-02 0.083377 4 4 60.0 45.0 135.0 4.48401E-02 2.23399E-02 3.61011E-03 2.59500E-02 3.10170E-02 0.080511 4 7 60.0 90.0 90.0 5.53716E-02 2.30584E-02 4.21579E-03 2.72742E-02 3.20147E-02 0.076136 3 1 70.0 0.0 180.0 6.08391E-02 2.07414E-02 1.00985E-02 3.08399E-02 2.87977E-02 0.165987 3 4 70.0 45.0 135.0 5.91267E-02 2.09840E-02 9.71663E-03 3.07006E-02 2.91346E-02 0.164336 3 7 70.0 90.0 90.0 6.61022E-02 2.16498E-02 1.05664E-02 3.22162E-02 3.00589E-02 0.159849 2 1 80.0 0.0 180.0 1.03367E-01 1.77590E-02 2.51019E-02 4.28609E-02 2.46569E-02 0.242843 2 4 80.0 45.0 135.0 9.57154E-02 1.79149E-02 2.42787E-02 4.21936E-02 2.48734E-02 0.253655 2 7 80.0 90.0 90.0 9.50940E-02 1.84699E-02 2.54264E-02 4.38963E-02 2.56439E-02 0.267382 1 1 87.5 0.0 180.0 1.67125E-01 1.42535E-02 4.42706E-02 5.85241E-02 1.97898E-02 0.264896 1 4 87.5 45.0 135.0 1.50475E-01 1.36802E-02 4.39973E-02 5.76775E-02 1.89938E-02 0.292389 1 7 87.5 90.0 90.0 1.36899E-01 1.55646E-02 4.50284E-02 6.05930E-02 2.16102E-02 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 2.553E-02 8.833E-02 1.128E-01 9.875E-02 1.450E-01 3.545E-02 3.865E+00 2.128E-02 2.955E-02 1 0.00 0.00 3.947E-02 1.651E-01 6.591E-02 7.344E-02 8.731E-02 5.091E-02 3.897E+00 3 27.10 5.00 1.573E-03 1.418E-02 4.113E-03 4.147E-03 4.183E-03 5.227E-02 4.351E+00 5 54.20 10.00 5.261E-05 4.730E-04 1.387E-04 1.387E-04 1.388E-04 5.227E-02 4.352E+00 7 81.30 15.00 1.758E-06 1.581E-05 4.638E-06 4.638E-06 4.638E-06 5.227E-02 4.352E+00 9 108.40 20.00 5.878E-08 5.285E-07 1.550E-07 1.550E-07 1.550E-07 5.227E-02 4.352E+00 Waveband 2 of 40 completed in 22.4 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 25.9 m at 375.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 370.0 nm to 380.0 nm: Ed(diffuse) = 3.130E-01 Ed(direct) = 4.113E-01 Ed(total) = 7.243E-01 Absorption Coefficients of Individual Components at 375.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0115 0.0360 0.0298 0.1608 0.2381 3 26.358 5.000 0.0115 0.0360 0.0298 0.1608 0.2381 5 52.716 10.000 0.0115 0.0360 0.0298 0.1608 0.2381 7 79.074 15.000 0.0115 0.0360 0.0298 0.1608 0.2381 9 105.432 20.000 0.0115 0.0360 0.0298 0.1608 0.2381 Scattering Coefficients of Individual Components at 375.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0100 0.7163 0.0000 4.3071 5.0335 3 26.358 5.000 0.0100 0.7163 0.0000 4.3071 5.0335 5 52.716 10.000 0.0100 0.7163 0.0000 4.3071 5.0335 7 79.074 15.000 0.0100 0.7163 0.0000 4.3071 5.0335 9 105.432 20.000 0.0100 0.7163 0.0000 4.3071 5.0335 Backscattering Coefficients of Individual Components at 375.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00501 0.00716 0.00000 0.12921 0.14138 3 26.358 5.000 0.00501 0.00716 0.00000 0.12921 0.14138 5 52.716 10.000 0.00501 0.00716 0.00000 0.12921 0.14138 7 79.074 15.000 0.00501 0.00716 0.00000 0.12921 0.14138 9 105.432 20.000 0.00501 0.00716 0.00000 0.12921 0.14138 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 0.2381 5.0335 5.2716 0.9548 0.14138 0.02809 3 26.358 5.000 0.2381 5.0335 5.2716 0.9548 0.14138 0.02809 5 52.716 10.000 0.2381 5.0335 5.2716 0.9548 0.14138 0.02809 7 79.074 15.000 0.2381 5.0335 5.2716 0.9548 0.14138 0.02809 9 105.432 20.000 0.2381 5.0335 5.2716 0.9548 0.14138 0.02809 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.7715E-01 8 20.00 9.1866E-01 7 30.00 8.3186E-01 6 40.00 7.2878E-01 5 50.00 6.2127E-01 4 60.00 5.1895E-01 3 70.00 4.2799E-01 2 80.00 3.5182E-01 1 87.50 3.0298E-01 1 92.50 2.7200E-01 2 100.00 2.3606E-01 3 110.00 1.9853E-01 4 120.00 1.6958E-01 5 130.00 1.4791E-01 6 140.00 1.3206E-01 7 150.00 1.2086E-01 8 160.00 1.1344E-01 9 170.00 1.0920E-01 10 180.00 1.0767E-01 Asymptotic AOP values are MUu(inf) = 0.4209 MUd(inf) = 0.6005 MU(inf) = 0.3544 R(inf) = 0.2225 Lu(inf)/Ed(inf) = 0.050914 (1/sr) k(inf) = 0.6719 (1/m) absorp(check) = 0.2381 = 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 2.2610E-01 1.1060E+00 1.3321E+00 9.6596E-02 7.2429E-01 0.4272 0.6549 0.4712 1.3337E-01 1 0.00 0.00 3.3196E-01 1.0503E+00 1.3823E+00 1.5035E-01 7.7802E-01 0.4529 0.7408 0.4541 1.9325E-01 3 26.36 5.00 1.6653E-02 5.2465E-02 6.9118E-02 7.0103E-03 3.1515E-02 0.4210 0.6007 0.3545 2.2244E-01 5 52.72 10.00 5.7917E-04 1.8247E-03 2.4038E-03 2.4378E-04 1.0957E-03 0.4209 0.6005 0.3544 2.2249E-01 7 79.07 15.00 2.0129E-05 6.3418E-05 8.3547E-05 8.4727E-06 3.8081E-05 0.4209 0.6005 0.3544 2.2249E-01 9 105.43 20.00 6.9959E-07 2.2041E-06 2.9037E-06 2.9447E-07 1.3235E-06 0.4209 0.6005 0.3544 2.2249E-01 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 0.34693 0.49134 0.45664 0.31789 0.48450 0.52445 0.43798 5.000 5.010 5.005 0.67110 0.67110 0.67110 0.67124 0.67152 0.67160 0.67146 10.000 10.010 10.005 0.67188 0.67188 0.67188 0.67188 0.67188 0.67188 0.67188 15.000 15.010 15.005 0.67188 0.67188 0.67188 0.67188 0.67188 0.67188 0.67188 20.000 20.010 20.005 0.67189 0.67188 0.67188 0.67190 0.67188 0.67187 0.67191 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 375.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 8.44577E-02 2.07720E-02 4.24468E-03 2.50167E-02 2.86791E-02 0.050258 9 1 10.0 0.0 180.0 5.21139E-02 2.09292E-02 1.59925E-03 2.25284E-02 2.88961E-02 0.030688 9 4 10.0 45.0 135.0 5.72591E-02 2.09033E-02 1.82014E-03 2.27235E-02 2.88604E-02 0.031788 9 7 10.0 90.0 90.0 7.73618E-02 2.10056E-02 3.27379E-03 2.42794E-02 2.90016E-02 0.042318 8 1 20.0 0.0 180.0 4.09347E-02 2.10874E-02 9.85746E-04 2.20732E-02 2.91145E-02 0.024081 8 4 20.0 45.0 135.0 4.55714E-02 2.09822E-02 1.14192E-03 2.21241E-02 2.89693E-02 0.025058 8 7 20.0 90.0 90.0 6.70105E-02 2.11963E-02 2.18321E-03 2.33795E-02 2.92648E-02 0.032580 7 1 30.0 0.0 180.0 3.54926E-02 2.13900E-02 8.54399E-04 2.22444E-02 2.95324E-02 0.024073 7 4 30.0 45.0 135.0 3.93397E-02 2.15058E-02 9.58037E-04 2.24639E-02 2.96922E-02 0.024353 7 7 30.0 90.0 90.0 5.74460E-02 2.17038E-02 1.56408E-03 2.32679E-02 2.99656E-02 0.027227 6 1 40.0 0.0 180.0 3.36892E-02 2.16506E-02 9.49987E-04 2.26006E-02 2.98922E-02 0.028199 6 4 40.0 45.0 135.0 3.68373E-02 2.17810E-02 1.03031E-03 2.28113E-02 3.00722E-02 0.027969 6 7 40.0 90.0 90.0 5.17190E-02 2.21041E-02 1.48674E-03 2.35908E-02 3.05182E-02 0.028746 5 1 50.0 0.0 180.0 3.53220E-02 2.20215E-02 1.50064E-03 2.35221E-02 3.04041E-02 0.042485 5 4 50.0 45.0 135.0 3.76404E-02 2.20585E-02 1.56340E-03 2.36219E-02 3.04553E-02 0.041535 5 7 50.0 90.0 90.0 5.00334E-02 2.24709E-02 2.02116E-03 2.44921E-02 3.10247E-02 0.040396 4 1 60.0 0.0 180.0 4.19278E-02 2.17826E-02 3.49579E-03 2.52784E-02 3.00744E-02 0.083377 4 4 60.0 45.0 135.0 4.28767E-02 2.18055E-02 3.45203E-03 2.52576E-02 3.01060E-02 0.080511 4 7 60.0 90.0 90.0 5.29471E-02 2.25195E-02 4.03119E-03 2.65507E-02 3.10917E-02 0.076136 3 1 70.0 0.0 180.0 5.81751E-02 2.02432E-02 9.65632E-03 2.98995E-02 2.79490E-02 0.165987 3 4 70.0 45.0 135.0 5.65377E-02 2.04832E-02 9.29117E-03 2.97744E-02 2.82803E-02 0.164336 3 7 70.0 90.0 90.0 6.32078E-02 2.11485E-02 1.01037E-02 3.12522E-02 2.91989E-02 0.159849 2 1 80.0 0.0 180.0 9.88404E-02 1.73326E-02 2.40027E-02 4.13353E-02 2.39304E-02 0.242843 2 4 80.0 45.0 135.0 9.15242E-02 1.74882E-02 2.32156E-02 4.07039E-02 2.41453E-02 0.253655 2 7 80.0 90.0 90.0 9.09301E-02 1.80459E-02 2.43131E-02 4.23590E-02 2.49153E-02 0.267382 1 1 87.5 0.0 180.0 1.59807E-01 1.39113E-02 4.23321E-02 5.62435E-02 1.92068E-02 0.264896 1 4 87.5 45.0 135.0 1.43886E-01 1.33550E-02 4.20708E-02 5.54258E-02 1.84387E-02 0.292389 1 7 87.5 90.0 90.0 1.30905E-01 1.52105E-02 4.30567E-02 5.82672E-02 2.10005E-02 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 2.502E-02 8.446E-02 1.080E-01 9.459E-02 1.388E-01 3.454E-02 3.861E+00 2.077E-02 2.868E-02 1 0.00 0.00 3.852E-02 1.579E-01 6.431E-02 7.184E-02 8.583E-02 4.952E-02 3.903E+00 3 26.36 5.00 1.605E-03 1.495E-02 4.240E-03 4.281E-03 4.325E-03 5.091E-02 4.369E+00 5 52.72 10.00 5.579E-05 5.181E-04 1.489E-04 1.490E-04 1.490E-04 5.092E-02 4.370E+00 7 79.07 15.00 1.939E-06 1.801E-05 5.177E-06 5.177E-06 5.177E-06 5.092E-02 4.370E+00 9 105.43 20.00 6.739E-08 6.258E-07 1.799E-07 1.799E-07 1.799E-07 5.092E-02 4.370E+00 Waveband 3 of 40 completed in 21.9 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 25.9 m at 385.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 380.0 nm to 390.0 nm: Ed(diffuse) = 2.649E-01 Ed(direct) = 3.776E-01 Ed(total) = 6.425E-01 Absorption Coefficients of Individual Components at 385.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0094 0.0378 0.0259 0.1688 0.2420 3 25.658 5.000 0.0094 0.0378 0.0259 0.1688 0.2420 5 51.317 10.000 0.0094 0.0378 0.0259 0.1688 0.2420 7 76.975 15.000 0.0094 0.0378 0.0259 0.1688 0.2420 9 102.633 20.000 0.0094 0.0378 0.0259 0.1688 0.2420 Scattering Coefficients of Individual Components at 385.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0089 0.6977 0.0000 4.1830 4.8897 3 25.658 5.000 0.0089 0.6977 0.0000 4.1830 4.8897 5 51.317 10.000 0.0089 0.6977 0.0000 4.1830 4.8897 7 76.975 15.000 0.0089 0.6977 0.0000 4.1830 4.8897 9 102.633 20.000 0.0089 0.6977 0.0000 4.1830 4.8897 Backscattering Coefficients of Individual Components at 385.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00447 0.00698 0.00000 0.12549 0.13694 3 25.658 5.000 0.00447 0.00698 0.00000 0.12549 0.13694 5 51.317 10.000 0.00447 0.00698 0.00000 0.12549 0.13694 7 76.975 15.000 0.00447 0.00698 0.00000 0.12549 0.13694 9 102.633 20.000 0.00447 0.00698 0.00000 0.12549 0.13694 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 0.2420 4.8897 5.1317 0.9528 0.13694 0.02800 3 25.658 5.000 0.2420 4.8897 5.1317 0.9528 0.13694 0.02800 5 51.317 10.000 0.2420 4.8897 5.1317 0.9528 0.13694 0.02800 7 76.975 15.000 0.2420 4.8897 5.1317 0.9528 0.13694 0.02800 9 102.633 20.000 0.2420 4.8897 5.1317 0.9528 0.13694 0.02800 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.7657E-01 8 20.00 9.1666E-01 7 30.00 8.2795E-01 6 40.00 7.2295E-01 5 50.00 6.1389E-01 4 60.00 5.1058E-01 3 70.00 4.1921E-01 2 80.00 3.4308E-01 1 87.50 2.9451E-01 1 92.50 2.6380E-01 2 100.00 2.2829E-01 3 110.00 1.9135E-01 4 120.00 1.6297E-01 5 130.00 1.4181E-01 6 140.00 1.2638E-01 7 150.00 1.1552E-01 8 160.00 1.0833E-01 9 170.00 1.0423E-01 10 180.00 1.0275E-01 Asymptotic AOP values are MUu(inf) = 0.4195 MUd(inf) = 0.6028 MU(inf) = 0.3612 R(inf) = 0.2154 Lu(inf)/Ed(inf) = 0.049016 (1/sr) k(inf) = 0.6700 (1/m) absorp(check) = 0.2420 = 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 1.9282E-01 9.7025E-01 1.1631E+00 8.2715E-02 6.4248E-01 0.4290 0.6622 0.4813 1.2874E-01 1 0.00 0.00 2.8317E-01 9.2199E-01 1.2052E+00 1.2809E-01 6.8783E-01 0.4523 0.7460 0.4645 1.8622E-01 3 25.66 5.00 1.4497E-02 4.6838E-02 6.1335E-02 6.0828E-03 2.8245E-02 0.4196 0.6030 0.3613 2.1536E-01 5 51.32 10.00 5.0909E-04 1.6448E-03 2.1539E-03 2.1358E-04 9.9144E-04 0.4195 0.6028 0.3611 2.1542E-01 7 76.98 15.00 1.7863E-05 5.7714E-05 7.5577E-05 7.4942E-06 3.4789E-05 0.4195 0.6028 0.3611 2.1542E-01 9 102.63 20.00 6.2681E-07 2.0251E-06 2.6519E-06 2.6297E-07 1.2207E-06 0.4195 0.6028 0.3611 2.1543E-01 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 0.33830 0.47590 0.44355 0.31333 0.48235 0.52107 0.43499 5.000 5.010 5.005 0.66904 0.66904 0.66904 0.66921 0.66954 0.66963 0.66947 10.000 10.010 10.005 0.66997 0.66996 0.66997 0.66997 0.66997 0.66997 0.66997 15.000 15.010 15.005 0.66997 0.66997 0.66997 0.66997 0.66997 0.66997 0.66997 20.000 20.010 20.005 0.66994 0.66997 0.66996 0.66992 0.66997 0.66998 0.66987 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 1.76492E-02 3.74265E-03 2.13919E-02 2.74704E-02 0.052353 9 1 10.0 0.0 180.0 4.41115E-02 1.77823E-02 1.37379E-03 1.91561E-02 2.76775E-02 0.031143 9 4 10.0 45.0 135.0 4.84666E-02 1.77606E-02 1.56652E-03 1.93271E-02 2.76437E-02 0.032322 9 7 10.0 90.0 90.0 6.54825E-02 1.78485E-02 2.86374E-03 2.07122E-02 2.77805E-02 0.043733 8 1 20.0 0.0 180.0 3.46490E-02 1.79177E-02 8.35396E-04 1.87531E-02 2.78882E-02 0.024110 8 4 20.0 45.0 135.0 3.85737E-02 1.78285E-02 9.69209E-04 1.87978E-02 2.77495E-02 0.025126 8 7 20.0 90.0 90.0 5.67207E-02 1.80123E-02 1.88321E-03 1.98955E-02 2.80355E-02 0.033201 7 1 30.0 0.0 180.0 3.00425E-02 1.81762E-02 7.23201E-04 1.88994E-02 2.82906E-02 0.024073 7 4 30.0 45.0 135.0 3.32996E-02 1.82750E-02 8.11052E-04 1.90860E-02 2.84444E-02 0.024356 7 7 30.0 90.0 90.0 4.86201E-02 1.84463E-02 1.33084E-03 1.97771E-02 2.87110E-02 0.027372 6 1 40.0 0.0 180.0 2.85161E-02 1.84002E-02 8.04110E-04 1.92043E-02 2.86393E-02 0.028199 6 4 40.0 45.0 135.0 3.11808E-02 1.85117E-02 8.72100E-04 1.93838E-02 2.88128E-02 0.027969 6 7 40.0 90.0 90.0 4.37773E-02 1.87915E-02 1.25889E-03 2.00504E-02 2.92484E-02 0.028757 5 1 50.0 0.0 180.0 2.98981E-02 1.87180E-02 1.27021E-03 1.99882E-02 2.91339E-02 0.042485 5 4 50.0 45.0 135.0 3.18605E-02 1.87507E-02 1.32333E-03 2.00740E-02 2.91848E-02 0.041535 5 7 50.0 90.0 90.0 4.23505E-02 1.91094E-02 1.71080E-03 2.08202E-02 2.97430E-02 0.040396 4 1 60.0 0.0 180.0 3.54895E-02 1.85177E-02 2.95900E-03 2.14767E-02 2.88222E-02 0.083377 4 4 60.0 45.0 135.0 3.62927E-02 1.85390E-02 2.92196E-03 2.14609E-02 2.88553E-02 0.080511 4 7 60.0 90.0 90.0 4.48168E-02 1.91571E-02 3.41218E-03 2.25693E-02 2.98173E-02 0.076136 3 1 70.0 0.0 180.0 4.92420E-02 1.72121E-02 8.17354E-03 2.53856E-02 2.67900E-02 0.165987 3 4 70.0 45.0 135.0 4.78560E-02 1.74186E-02 7.86446E-03 2.52831E-02 2.71115E-02 0.164336 3 7 70.0 90.0 90.0 5.35019E-02 1.79984E-02 8.55223E-03 2.65506E-02 2.80139E-02 0.159849 2 1 80.0 0.0 180.0 8.36629E-02 1.47397E-02 2.03170E-02 3.50567E-02 2.29419E-02 0.242843 2 4 80.0 45.0 135.0 7.74702E-02 1.48750E-02 1.96507E-02 3.45257E-02 2.31524E-02 0.253655 2 7 80.0 90.0 90.0 7.69673E-02 1.53641E-02 2.05797E-02 3.59437E-02 2.39136E-02 0.267382 1 1 87.5 0.0 180.0 1.35268E-01 1.18322E-02 3.58318E-02 4.76640E-02 1.84164E-02 0.264896 1 4 87.5 45.0 135.0 1.21792E-01 1.13618E-02 3.56106E-02 4.69724E-02 1.76842E-02 0.292389 1 7 87.5 90.0 90.0 1.10804E-01 1.29554E-02 3.64451E-02 4.94005E-02 2.01646E-02 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 2.139E-02 7.149E-02 9.147E-02 8.010E-02 1.176E-01 3.330E-02 3.867E+00 1.765E-02 2.747E-02 1 0.00 0.00 3.273E-02 1.337E-01 5.474E-02 6.133E-02 7.371E-02 4.759E-02 3.913E+00 3 25.66 5.00 1.385E-03 1.353E-02 3.716E-03 3.758E-03 3.803E-03 4.902E-02 4.393E+00 5 51.32 10.00 4.860E-05 4.730E-04 1.320E-04 1.320E-04 1.321E-04 4.902E-02 4.394E+00 7 76.98 15.00 1.705E-06 1.660E-05 4.633E-06 4.633E-06 4.633E-06 4.902E-02 4.394E+00 9 102.63 20.00 5.984E-08 5.823E-07 1.626E-07 1.626E-07 1.626E-07 4.902E-02 4.394E+00 Waveband 4 of 40 completed in 21.4 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 25.9 m at 395.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 390.0 nm to 400.0 nm: Ed(diffuse) = 3.149E-01 Ed(direct) = 4.830E-01 Ed(total) = 7.979E-01 Absorption Coefficients of Individual Components at 395.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0081 0.0402 0.0225 0.1796 0.2504 3 25.003 5.000 0.0081 0.0402 0.0225 0.1796 0.2504 5 50.006 10.000 0.0081 0.0402 0.0225 0.1796 0.2504 7 75.009 15.000 0.0081 0.0402 0.0225 0.1796 0.2504 9 100.013 20.000 0.0081 0.0402 0.0225 0.1796 0.2504 Scattering Coefficients of Individual Components at 395.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0080 0.6801 0.0000 4.0621 4.7502 3 25.003 5.000 0.0080 0.6801 0.0000 4.0621 4.7502 5 50.006 10.000 0.0080 0.6801 0.0000 4.0621 4.7502 7 75.009 15.000 0.0080 0.6801 0.0000 4.0621 4.7502 9 100.013 20.000 0.0080 0.6801 0.0000 4.0621 4.7502 Backscattering Coefficients of Individual Components at 395.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00400 0.00680 0.00000 0.12186 0.13266 3 25.003 5.000 0.00400 0.00680 0.00000 0.12186 0.13266 5 50.006 10.000 0.00400 0.00680 0.00000 0.12186 0.13266 7 75.009 15.000 0.00400 0.00680 0.00000 0.12186 0.13266 9 100.013 20.000 0.00400 0.00680 0.00000 0.12186 0.13266 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 0.2504 4.7502 5.0006 0.9499 0.13266 0.02793 3 25.003 5.000 0.2504 4.7502 5.0006 0.9499 0.13266 0.02793 5 50.006 10.000 0.2504 4.7502 5.0006 0.9499 0.13266 0.02793 7 75.009 15.000 0.2504 4.7502 5.0006 0.9499 0.13266 0.02793 9 100.013 20.000 0.2504 4.7502 5.0006 0.9499 0.13266 0.02793 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.7572E-01 8 20.00 9.1376E-01 7 30.00 8.2233E-01 6 40.00 7.1461E-01 5 50.00 6.0340E-01 4 60.00 4.9875E-01 3 70.00 4.0688E-01 2 80.00 3.3091E-01 1 87.50 2.8276E-01 1 92.50 2.5249E-01 2 100.00 2.1761E-01 3 110.00 1.8154E-01 4 120.00 1.5400E-01 5 130.00 1.3357E-01 6 140.00 1.1875E-01 7 150.00 1.0835E-01 8 160.00 1.0148E-01 9 170.00 9.7577E-02 10 180.00 9.6170E-02 Asymptotic AOP values are MUu(inf) = 0.4176 MUd(inf) = 0.6061 MU(inf) = 0.3707 R(inf) = 0.2058 Lu(inf)/Ed(inf) = 0.046464 (1/sr) k(inf) = 0.6756 (1/m) absorp(check) = 0.2504 = 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 2.2843E-01 1.1930E+00 1.4214E+00 9.8131E-02 7.9790E-01 0.4296 0.6688 0.4923 1.2299E-01 1 0.00 0.00 3.3337E-01 1.1297E+00 1.4631E+00 1.5047E-01 8.5022E-01 0.4514 0.7526 0.4783 1.7698E-01 3 25.00 5.00 1.6825E-02 5.6311E-02 7.3136E-02 7.0285E-03 3.4143E-02 0.4177 0.6063 0.3707 2.0586E-01 5 50.01 10.00 5.7508E-04 1.9248E-03 2.4998E-03 2.4019E-04 1.1665E-03 0.4177 0.6060 0.3705 2.0592E-01 7 75.01 15.00 1.9636E-05 6.5724E-05 8.5360E-05 8.2012E-06 3.9830E-05 0.4177 0.6060 0.3705 2.0590E-01 9 100.01 20.00 6.7013E-07 2.2440E-06 2.9141E-06 2.7983E-07 1.3599E-06 0.4176 0.6060 0.3706 2.0577E-01 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 0.32944 0.46086 0.43090 0.31219 0.48595 0.52335 0.43739 5.000 5.010 5.005 0.67428 0.67428 0.67428 0.67449 0.67488 0.67498 0.67482 10.000 10.010 10.005 0.67542 0.67540 0.67541 0.67542 0.67541 0.67540 0.67542 15.000 15.010 15.005 0.67544 0.67543 0.67543 0.67544 0.67543 0.67542 0.67544 20.000 20.010 20.005 0.67605 0.67552 0.67564 0.67631 0.67548 0.67526 0.67726 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 2.06522E-02 4.62298E-03 2.52752E-02 2.58831E-02 0.054402 9 1 10.0 0.0 180.0 5.24353E-02 2.08087E-02 1.65639E-03 2.24651E-02 2.60793E-02 0.031589 9 4 10.0 45.0 135.0 5.76123E-02 2.07833E-02 1.89219E-03 2.26755E-02 2.60473E-02 0.032844 9 7 10.0 90.0 90.0 7.78390E-02 2.08867E-02 3.51185E-03 2.43985E-02 2.61769E-02 0.045117 8 1 20.0 0.0 180.0 4.11872E-02 2.09697E-02 9.94217E-04 2.19639E-02 2.62810E-02 0.024139 8 4 20.0 45.0 135.0 4.58525E-02 2.08652E-02 1.15516E-03 2.20204E-02 2.61500E-02 0.025193 8 7 20.0 90.0 90.0 6.74239E-02 2.10816E-02 2.27954E-03 2.33611E-02 2.64212E-02 0.033809 7 1 30.0 0.0 180.0 3.57115E-02 2.12757E-02 8.59667E-04 2.21354E-02 2.66645E-02 0.024073 7 4 30.0 45.0 135.0 3.95842E-02 2.13911E-02 9.64244E-04 2.23553E-02 2.68091E-02 0.024359 7 7 30.0 90.0 90.0 5.77892E-02 2.15941E-02 1.59002E-03 2.31841E-02 2.70635E-02 0.027514 6 1 40.0 0.0 180.0 3.38970E-02 2.15437E-02 9.55845E-04 2.24996E-02 2.70004E-02 0.028198 6 4 40.0 45.0 135.0 3.70646E-02 2.16742E-02 1.03666E-03 2.27109E-02 2.71639E-02 0.027969 6 7 40.0 90.0 90.0 5.20381E-02 2.20072E-02 1.49697E-03 2.35041E-02 2.75812E-02 0.028767 5 1 50.0 0.0 180.0 3.55399E-02 2.19220E-02 1.50990E-03 2.34319E-02 2.74744E-02 0.042485 5 4 50.0 45.0 135.0 3.78725E-02 2.19608E-02 1.57304E-03 2.35339E-02 2.75231E-02 0.041535 5 7 50.0 90.0 90.0 5.03420E-02 2.23899E-02 2.03363E-03 2.44236E-02 2.80609E-02 0.040396 4 1 60.0 0.0 180.0 4.21864E-02 2.16939E-02 3.51736E-03 2.52113E-02 2.71887E-02 0.083377 4 4 60.0 45.0 135.0 4.31411E-02 2.17201E-02 3.47333E-03 2.51935E-02 2.72215E-02 0.080511 4 7 60.0 90.0 90.0 5.32736E-02 2.24574E-02 4.05606E-03 2.65134E-02 2.81455E-02 0.076136 3 1 70.0 0.0 180.0 5.85340E-02 2.01716E-02 9.71588E-03 2.98875E-02 2.52807E-02 0.165987 3 4 70.0 45.0 135.0 5.68864E-02 2.04160E-02 9.34848E-03 2.97645E-02 2.55870E-02 0.164336 3 7 70.0 90.0 90.0 6.35977E-02 2.11129E-02 1.01660E-02 3.12790E-02 2.64605E-02 0.159849 2 1 80.0 0.0 180.0 9.94501E-02 1.72800E-02 2.41508E-02 4.14308E-02 2.16567E-02 0.242843 2 4 80.0 45.0 135.0 9.20888E-02 1.74417E-02 2.33588E-02 4.08005E-02 2.18594E-02 0.253655 2 7 80.0 90.0 90.0 9.14910E-02 1.80339E-02 2.44630E-02 4.24970E-02 2.26016E-02 0.267382 1 1 87.5 0.0 180.0 1.60792E-01 1.38762E-02 4.25933E-02 5.64695E-02 1.73909E-02 0.264896 1 4 87.5 45.0 135.0 1.44774E-01 1.33277E-02 4.23303E-02 5.56580E-02 1.67034E-02 0.292389 1 7 87.5 90.0 90.0 1.31712E-01 1.52166E-02 4.33223E-02 5.85388E-02 1.90707E-02 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 2.528E-02 8.498E-02 1.086E-01 9.513E-02 1.397E-01 3.168E-02 3.882E+00 2.065E-02 2.588E-02 1 0.00 0.00 3.830E-02 1.589E-01 6.433E-02 7.234E-02 8.755E-02 4.505E-02 3.929E+00 3 25.00 5.00 1.588E-03 1.657E-02 4.353E-03 4.411E-03 4.474E-03 4.651E-02 4.426E+00 5 50.01 10.00 5.425E-05 5.635E-04 1.508E-04 1.509E-04 1.509E-04 4.651E-02 4.428E+00 7 75.01 15.00 1.852E-06 1.924E-05 5.152E-06 5.152E-06 5.152E-06 4.650E-02 4.428E+00 9 100.01 20.00 6.316E-08 6.570E-07 1.759E-07 1.759E-07 1.759E-07 4.644E-02 4.431E+00 Waveband 5 of 40 completed in 21.0 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 25.9 m at 405.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 400.0 nm to 410.0 nm: Ed(diffuse) = 4.287E-01 Ed(direct) = 6.992E-01 Ed(total) = 1.128E+00 Absorption Coefficients of Individual Components at 405.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0053 0.0468 0.0196 0.2090 0.2807 3 24.396 5.000 0.0053 0.0468 0.0196 0.2090 0.2807 5 48.791 10.000 0.0053 0.0468 0.0196 0.2090 0.2807 7 73.187 15.000 0.0053 0.0468 0.0196 0.2090 0.2807 9 97.582 20.000 0.0053 0.0468 0.0196 0.2090 0.2807 Scattering Coefficients of Individual Components at 405.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0072 0.6633 0.0000 3.9279 4.5984 3 24.396 5.000 0.0072 0.6633 0.0000 3.9279 4.5984 5 48.791 10.000 0.0072 0.6633 0.0000 3.9279 4.5984 7 73.187 15.000 0.0072 0.6633 0.0000 3.9279 4.5984 9 97.582 20.000 0.0072 0.6633 0.0000 3.9279 4.5984 Backscattering Coefficients of Individual Components at 405.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00359 0.00663 0.00000 0.11784 0.12806 3 24.396 5.000 0.00359 0.00663 0.00000 0.11784 0.12806 5 48.791 10.000 0.00359 0.00663 0.00000 0.11784 0.12806 7 73.187 15.000 0.00359 0.00663 0.00000 0.11784 0.12806 9 97.582 20.000 0.00359 0.00663 0.00000 0.11784 0.12806 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 0.2807 4.5984 4.8791 0.9425 0.12806 0.02785 3 24.396 5.000 0.2807 4.5984 4.8791 0.9425 0.12806 0.02785 5 48.791 10.000 0.2807 4.5984 4.8791 0.9425 0.12806 0.02785 7 73.187 15.000 0.2807 4.5984 4.8791 0.9425 0.12806 0.02785 9 97.582 20.000 0.2807 4.5984 4.8791 0.9425 0.12806 0.02785 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.7364E-01 8 20.00 9.0666E-01 7 30.00 8.0863E-01 6 40.00 6.9451E-01 5 50.00 5.7840E-01 4 60.00 4.7096E-01 3 70.00 3.7831E-01 2 80.00 3.0308E-01 1 87.50 2.5618E-01 1 92.50 2.2706E-01 2 100.00 1.9385E-01 3 110.00 1.5996E-01 4 120.00 1.3445E-01 5 130.00 1.1577E-01 6 140.00 1.0237E-01 7 150.00 9.3042E-02 8 160.00 8.6933E-02 9 170.00 8.3472E-02 10 180.00 8.2229E-02 Asymptotic AOP values are MUu(inf) = 0.4133 MUd(inf) = 0.6140 MU(inf) = 0.3930 R(inf) = 0.1845 Lu(inf)/Ed(inf) = 0.040966 (1/sr) k(inf) = 0.7144 (1/m) absorp(check) = 0.2807 = 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 2.9580E-01 1.6724E+00 1.9682E+00 1.2583E-01 1.1279E+00 0.4254 0.6745 0.5092 1.1156E-01 1 0.00 0.00 4.1615E-01 1.5527E+00 1.9688E+00 1.8677E-01 1.1888E+00 0.4488 0.7657 0.5090 1.5710E-01 3 24.40 5.00 1.7755E-02 6.4670E-02 8.2425E-02 7.3416E-03 3.9724E-02 0.4135 0.6143 0.3929 1.8481E-01 5 48.79 10.00 5.0094E-04 1.8242E-03 2.3251E-03 2.0710E-04 1.1198E-03 0.4134 0.6139 0.3925 1.8494E-01 7 73.19 15.00 1.4120E-05 5.1408E-05 6.5529E-05 5.8378E-06 3.1558E-05 0.4134 0.6139 0.3925 1.8499E-01 9 97.58 20.00 3.9824E-07 1.4493E-06 1.8475E-06 1.6467E-07 8.8962E-07 0.4135 0.6138 0.3924 1.8510E-01 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 0.32461 0.44649 0.42071 0.32525 0.51551 0.55101 0.46302 5.000 5.010 5.005 0.71251 0.71260 0.71258 0.71273 0.71327 0.71339 0.71310 10.000 10.010 10.005 0.71382 0.71387 0.71386 0.71380 0.71385 0.71386 0.71379 15.000 15.010 15.005 0.71375 0.71379 0.71378 0.71373 0.71379 0.71380 0.71372 20.000 20.010 20.005 0.71336 0.71373 0.71365 0.71317 0.71371 0.71383 0.71254 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 2.53737E-02 6.50596E-03 3.18797E-02 2.24955E-02 0.056238 9 1 10.0 0.0 180.0 7.13830E-02 2.55737E-02 2.28345E-03 2.78571E-02 2.26728E-02 0.031989 9 4 10.0 45.0 135.0 7.84307E-02 2.55409E-02 2.61264E-03 2.81535E-02 2.26437E-02 0.033311 9 7 10.0 90.0 90.0 1.05966E-01 2.56659E-02 4.91231E-03 3.05782E-02 2.27545E-02 0.046357 8 1 20.0 0.0 180.0 5.60704E-02 2.57826E-02 1.35492E-03 2.71375E-02 2.28580E-02 0.024165 8 4 20.0 45.0 135.0 6.24214E-02 2.56513E-02 1.57631E-03 2.72276E-02 2.27416E-02 0.025253 8 7 20.0 90.0 90.0 9.17877E-02 2.59150E-02 3.15324E-03 2.90683E-02 2.29754E-02 0.034354 7 1 30.0 0.0 180.0 4.86160E-02 2.61726E-02 1.17031E-03 2.73429E-02 2.32037E-02 0.024073 7 4 30.0 45.0 135.0 5.38891E-02 2.63106E-02 1.31286E-03 2.76235E-02 2.33261E-02 0.024362 7 7 30.0 90.0 90.0 7.86649E-02 2.65589E-02 2.17442E-03 2.87333E-02 2.35463E-02 0.027642 6 1 40.0 0.0 180.0 4.61458E-02 2.65250E-02 1.30124E-03 2.78263E-02 2.35162E-02 0.028198 6 4 40.0 45.0 135.0 5.04580E-02 2.66814E-02 1.41127E-03 2.80926E-02 2.36548E-02 0.027969 6 7 40.0 90.0 90.0 7.08422E-02 2.70945E-02 2.03855E-03 2.91330E-02 2.40211E-02 0.028776 5 1 50.0 0.0 180.0 4.83824E-02 2.70148E-02 2.05551E-03 2.90703E-02 2.39504E-02 0.042485 5 4 50.0 45.0 135.0 5.15579E-02 2.70593E-02 2.14146E-03 2.92008E-02 2.39899E-02 0.041535 5 7 50.0 90.0 90.0 6.85333E-02 2.75993E-02 2.76849E-03 3.03678E-02 2.44686E-02 0.040396 4 1 60.0 0.0 180.0 5.74306E-02 2.67592E-02 4.78837E-03 3.15475E-02 2.37238E-02 0.083377 4 4 60.0 45.0 135.0 5.87304E-02 2.67897E-02 4.72843E-03 3.15181E-02 2.37508E-02 0.080511 4 7 60.0 90.0 90.0 7.25243E-02 2.77194E-02 5.52173E-03 3.32411E-02 2.45751E-02 0.076136 3 1 70.0 0.0 180.0 7.96854E-02 2.49102E-02 1.32267E-02 3.81370E-02 2.20846E-02 0.165987 3 4 70.0 45.0 135.0 7.74426E-02 2.52129E-02 1.27266E-02 3.79395E-02 2.23529E-02 0.164336 3 7 70.0 90.0 90.0 8.65789E-02 2.61053E-02 1.38396E-02 3.99448E-02 2.31441E-02 0.159849 2 1 80.0 0.0 180.0 1.35387E-01 2.13633E-02 3.28778E-02 5.42410E-02 1.89400E-02 0.242843 2 4 80.0 45.0 135.0 1.25365E-01 2.15665E-02 3.17996E-02 5.33661E-02 1.91202E-02 0.253655 2 7 80.0 90.0 90.0 1.24552E-01 2.23352E-02 3.33028E-02 5.56380E-02 1.98017E-02 0.267382 1 1 87.5 0.0 180.0 2.18895E-01 1.71752E-02 5.79845E-02 7.51597E-02 1.52270E-02 0.264896 1 4 87.5 45.0 135.0 1.97088E-01 1.65006E-02 5.76265E-02 7.41271E-02 1.46289E-02 0.292389 1 7 87.5 90.0 90.0 1.79307E-01 1.88793E-02 5.89769E-02 7.78563E-02 1.67378E-02 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 3.188E-02 1.157E-01 1.470E-01 1.286E-01 1.893E-01 2.826E-02 3.947E+00 2.537E-02 2.250E-02 1 0.00 0.00 4.706E-02 2.162E-01 8.025E-02 9.086E-02 1.115E-01 3.958E-02 3.969E+00 3 24.40 5.00 1.631E-03 1.989E-02 4.703E-03 4.779E-03 4.864E-03 4.107E-02 4.500E+00 5 48.79 10.00 4.601E-05 5.577E-04 1.349E-04 1.350E-04 1.350E-04 4.108E-02 4.501E+00 7 73.19 15.00 1.297E-06 1.571E-05 3.804E-06 3.804E-06 3.804E-06 4.110E-02 4.501E+00 9 97.58 20.00 3.660E-08 4.430E-07 1.073E-07 1.073E-07 1.073E-07 4.114E-02 4.499E+00 Waveband 6 of 40 completed in 20.5 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 25.9 m at 415.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 410.0 nm to 420.0 nm: Ed(diffuse) = 4.394E-01 Ed(direct) = 7.590E-01 Ed(total) = 1.198E+00 Absorption Coefficients of Individual Components at 415.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0044 0.0528 0.0170 0.2358 0.3101 3 23.827 5.000 0.0044 0.0528 0.0170 0.2358 0.3101 5 47.653 10.000 0.0044 0.0528 0.0170 0.2358 0.3101 7 71.480 15.000 0.0044 0.0528 0.0170 0.2358 0.3101 9 95.306 20.000 0.0044 0.0528 0.0170 0.2358 0.3101 Scattering Coefficients of Individual Components at 415.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0065 0.6473 0.0000 3.8014 4.4552 3 23.827 5.000 0.0065 0.6473 0.0000 3.8014 4.4552 5 47.653 10.000 0.0065 0.6473 0.0000 3.8014 4.4552 7 71.480 15.000 0.0065 0.6473 0.0000 3.8014 4.4552 9 95.306 20.000 0.0065 0.6473 0.0000 3.8014 4.4552 Backscattering Coefficients of Individual Components at 415.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00323 0.00647 0.00000 0.11404 0.12375 3 23.827 5.000 0.00323 0.00647 0.00000 0.11404 0.12375 5 47.653 10.000 0.00323 0.00647 0.00000 0.11404 0.12375 7 71.480 15.000 0.00323 0.00647 0.00000 0.11404 0.12375 9 95.306 20.000 0.00323 0.00647 0.00000 0.11404 0.12375 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 0.3101 4.4552 4.7653 0.9349 0.12375 0.02778 3 23.827 5.000 0.3101 4.4552 4.7653 0.9349 0.12375 0.02778 5 47.653 10.000 0.3101 4.4552 4.7653 0.9349 0.12375 0.02778 7 71.480 15.000 0.3101 4.4552 4.7653 0.9349 0.12375 0.02778 9 95.306 20.000 0.3101 4.4552 4.7653 0.9349 0.12375 0.02778 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.7162E-01 8 20.00 8.9979E-01 7 30.00 7.9553E-01 6 40.00 6.7553E-01 5 50.00 5.5518E-01 4 60.00 4.4559E-01 3 70.00 3.5270E-01 2 80.00 2.7857E-01 1 87.50 2.3307E-01 1 92.50 2.0517E-01 2 100.00 1.7363E-01 3 110.00 1.4185E-01 4 120.00 1.1824E-01 5 130.00 1.0116E-01 6 140.00 8.9031E-02 7 150.00 8.0660E-02 8 160.00 7.5210E-02 9 170.00 7.2136E-02 10 180.00 7.1034E-02 Asymptotic AOP values are MUu(inf) = 0.4094 MUd(inf) = 0.6215 MU(inf) = 0.4135 R(inf) = 0.1666 Lu(inf)/Ed(inf) = 0.036437 (1/sr) k(inf) = 0.7501 (1/m) absorp(check) = 0.3101 = 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 2.9033E-01 1.7632E+00 2.0536E+00 1.2247E-01 1.1984E+00 0.4218 0.6797 0.5240 1.0219E-01 1 0.00 0.00 3.9388E-01 1.6106E+00 2.0045E+00 1.7582E-01 1.2518E+00 0.4464 0.7772 0.5368 1.4046E-01 3 23.83 5.00 1.4376E-02 5.6739E-02 7.1115E-02 5.8896E-03 3.5282E-02 0.4097 0.6218 0.4133 1.6693E-01 5 47.65 10.00 3.4001E-04 1.3407E-03 1.6807E-03 1.3928E-04 8.3301E-04 0.4096 0.6213 0.4128 1.6721E-01 7 71.48 15.00 8.0440E-06 3.1680E-05 3.9724E-05 3.2959E-06 1.9681E-05 0.4097 0.6212 0.4125 1.6747E-01 9 95.31 20.00 1.9077E-07 7.5009E-07 9.4086E-07 7.8184E-08 4.6590E-07 0.4098 0.6211 0.4121 1.6781E-01 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 0.32150 0.43899 0.41589 0.33874 0.54378 0.57732 0.48766 5.000 5.010 5.005 0.74770 0.74794 0.74789 0.74794 0.74871 0.74887 0.74833 10.000 10.010 10.005 0.74900 0.74920 0.74916 0.74896 0.74923 0.74928 0.74889 15.000 15.010 15.005 0.74853 0.74879 0.74873 0.74852 0.74890 0.74898 0.74843 20.000 20.010 20.005 0.74814 0.74842 0.74837 0.74813 0.74844 0.74851 0.74826 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 2.36716E-02 6.88404E-03 3.05557E-02 1.97519E-02 0.058054 9 1 10.0 0.0 180.0 7.31681E-02 2.38662E-02 2.36947E-03 2.62357E-02 1.99143E-02 0.032384 9 4 10.0 45.0 135.0 8.03920E-02 2.38335E-02 2.71518E-03 2.65487E-02 1.98870E-02 0.033774 9 7 10.0 90.0 90.0 1.08616E-01 2.39468E-02 5.16841E-03 2.91152E-02 1.99815E-02 0.047584 8 1 20.0 0.0 180.0 5.74725E-02 2.40704E-02 1.39027E-03 2.54607E-02 2.00847E-02 0.024190 8 4 20.0 45.0 135.0 6.39824E-02 2.39443E-02 1.61952E-03 2.55639E-02 1.99795E-02 0.025312 8 7 20.0 90.0 90.0 9.40831E-02 2.41858E-02 3.28278E-03 2.74686E-02 2.01809E-02 0.034892 7 1 30.0 0.0 180.0 4.98318E-02 2.44456E-02 1.19958E-03 2.56451E-02 2.03977E-02 0.024072 7 4 30.0 45.0 135.0 5.52379E-02 2.45695E-02 1.34587E-03 2.59154E-02 2.05011E-02 0.024365 7 7 30.0 90.0 90.0 8.06253E-02 2.47965E-02 2.23876E-03 2.70353E-02 2.06905E-02 0.027767 6 1 40.0 0.0 180.0 4.72998E-02 2.47922E-02 1.33378E-03 2.61260E-02 2.06869E-02 0.028198 6 4 40.0 45.0 135.0 5.17198E-02 2.49325E-02 1.44656E-03 2.63791E-02 2.08040E-02 0.027969 6 7 40.0 90.0 90.0 7.26138E-02 2.53169E-02 2.09017E-03 2.74070E-02 2.11247E-02 0.028785 5 1 50.0 0.0 180.0 4.95923E-02 2.52685E-02 2.10691E-03 2.73754E-02 2.10843E-02 0.042485 5 4 50.0 45.0 135.0 5.28472E-02 2.53049E-02 2.19501E-03 2.74999E-02 2.11147E-02 0.041535 5 7 50.0 90.0 90.0 7.02471E-02 2.58148E-02 2.83772E-03 2.86525E-02 2.15402E-02 0.040396 4 1 60.0 0.0 180.0 5.88668E-02 2.50491E-02 4.90811E-03 2.99572E-02 2.09013E-02 0.083377 4 4 60.0 45.0 135.0 6.01990E-02 2.50735E-02 4.84667E-03 2.99202E-02 2.09217E-02 0.080511 4 7 60.0 90.0 90.0 7.43379E-02 2.59564E-02 5.65981E-03 3.16162E-02 2.16584E-02 0.076136 3 1 70.0 0.0 180.0 8.16781E-02 2.33413E-02 1.35575E-02 3.68988E-02 1.94763E-02 0.165987 3 4 70.0 45.0 135.0 7.93792E-02 2.36233E-02 1.30448E-02 3.66681E-02 1.97116E-02 0.164336 3 7 70.0 90.0 90.0 8.87440E-02 2.44824E-02 1.41856E-02 3.86680E-02 2.04284E-02 0.159849 2 1 80.0 0.0 180.0 1.38772E-01 2.00371E-02 3.36999E-02 5.37370E-02 1.67192E-02 0.242843 2 4 80.0 45.0 135.0 1.28500E-01 2.02286E-02 3.25948E-02 5.28235E-02 1.68790E-02 0.253655 2 7 80.0 90.0 90.0 1.27666E-01 2.09777E-02 3.41356E-02 5.51133E-02 1.75041E-02 0.267382 1 1 87.5 0.0 180.0 2.24369E-01 1.61256E-02 5.94345E-02 7.55601E-02 1.34554E-02 0.264896 1 4 87.5 45.0 135.0 2.02017E-01 1.54945E-02 5.90676E-02 7.45620E-02 1.29288E-02 0.292389 1 7 87.5 90.0 90.0 1.83791E-01 1.77606E-02 6.04518E-02 7.82123E-02 1.48196E-02 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 3.056E-02 1.186E-01 1.500E-01 1.310E-01 1.932E-01 2.550E-02 4.008E+00 2.367E-02 1.975E-02 1 0.00 0.00 4.390E-02 2.215E-01 7.591E-02 8.649E-02 1.075E-01 3.507E-02 4.005E+00 3 23.83 5.00 1.290E-03 1.820E-02 3.888E-03 3.964E-03 4.048E-03 3.656E-02 4.566E+00 5 47.65 10.00 3.050E-05 4.270E-04 9.377E-05 9.383E-05 9.389E-05 3.662E-02 4.566E+00 7 71.48 15.00 7.221E-07 1.009E-05 2.219E-06 2.219E-06 2.219E-06 3.669E-02 4.564E+00 9 95.31 20.00 1.714E-08 2.387E-07 5.259E-08 5.259E-08 5.259E-08 3.678E-02 4.562E+00 Waveband 7 of 40 completed in 20.2 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 25.9 m at 425.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 420.0 nm to 430.0 nm: Ed(diffuse) = 4.082E-01 Ed(direct) = 7.412E-01 Ed(total) = 1.149E+00 Absorption Coefficients of Individual Components at 425.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0048 0.0558 0.0148 0.2492 0.3246 3 23.278 5.000 0.0048 0.0558 0.0148 0.2492 0.3246 5 46.556 10.000 0.0048 0.0558 0.0148 0.2492 0.3246 7 69.833 15.000 0.0048 0.0558 0.0148 0.2492 0.3246 9 93.111 20.000 0.0048 0.0558 0.0148 0.2492 0.3246 Scattering Coefficients of Individual Components at 425.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0058 0.6320 0.0000 3.6930 4.3309 3 23.278 5.000 0.0058 0.6320 0.0000 3.6930 4.3309 5 46.556 10.000 0.0058 0.6320 0.0000 3.6930 4.3309 7 69.833 15.000 0.0058 0.6320 0.0000 3.6930 4.3309 9 93.111 20.000 0.0058 0.6320 0.0000 3.6930 4.3309 Backscattering Coefficients of Individual Components at 425.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00291 0.00632 0.00000 0.11079 0.12003 3 23.278 5.000 0.00291 0.00632 0.00000 0.11079 0.12003 5 46.556 10.000 0.00291 0.00632 0.00000 0.11079 0.12003 7 69.833 15.000 0.00291 0.00632 0.00000 0.11079 0.12003 9 93.111 20.000 0.00291 0.00632 0.00000 0.11079 0.12003 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 0.3246 4.3309 4.6556 0.9303 0.12003 0.02771 3 23.278 5.000 0.3246 4.3309 4.6556 0.9303 0.12003 0.02771 5 46.556 10.000 0.3246 4.3309 4.6556 0.9303 0.12003 0.02771 7 69.833 15.000 0.3246 4.3309 4.6556 0.9303 0.12003 0.02771 9 93.111 20.000 0.3246 4.3309 4.6556 0.9303 0.12003 0.02771 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.7040E-01 8 20.00 8.9568E-01 7 30.00 7.8775E-01 6 40.00 6.6439E-01 5 50.00 5.4171E-01 4 60.00 4.3107E-01 3 70.00 3.3824E-01 2 80.00 2.6493E-01 1 87.50 2.2034E-01 1 92.50 1.9318E-01 2 100.00 1.6266E-01 3 110.00 1.3212E-01 4 120.00 1.0961E-01 5 130.00 9.3438E-02 6 140.00 8.2018E-02 7 150.00 7.4175E-02 8 160.00 6.9087E-02 9 170.00 6.6225E-02 10 180.00 6.5200E-02 Asymptotic AOP values are MUu(inf) = 0.4072 MUd(inf) = 0.6260 MU(inf) = 0.4253 R(inf) = 0.1568 Lu(inf)/Ed(inf) = 0.034027 (1/sr) k(inf) = 0.7634 (1/m) absorp(check) = 0.3246 = 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 2.6512E-01 1.6797E+00 1.9449E+00 1.1161E-01 1.1494E+00 0.4210 0.6843 0.5336 9.7101E-02 1 0.00 0.00 3.5313E-01 1.5244E+00 1.8775E+00 1.5715E-01 1.1949E+00 0.4450 0.7839 0.5527 1.3152E-01 3 23.28 5.00 1.2218E-02 5.0561E-02 6.2779E-02 4.9790E-03 3.1668E-02 0.4075 0.6263 0.4251 1.5723E-01 5 46.56 10.00 2.7070E-04 1.1187E-03 1.3894E-03 1.1031E-04 6.9997E-04 0.4075 0.6257 0.4244 1.5760E-01 7 69.83 15.00 6.0053E-06 2.4766E-05 3.0771E-05 2.4481E-06 1.5493E-05 0.4077 0.6256 0.4239 1.5801E-01 9 93.11 20.00 1.3378E-07 5.5010E-07 6.8388E-07 5.4562E-08 3.4401E-07 0.4079 0.6254 0.4232 1.5860E-01 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 0.31741 0.43323 0.41143 0.34359 0.55491 0.58695 0.49723 5.000 5.010 5.005 0.76064 0.76098 0.76091 0.76091 0.76186 0.76204 0.76134 10.000 10.010 10.005 0.76201 0.76234 0.76227 0.76195 0.76238 0.76246 0.76184 15.000 15.010 15.005 0.76134 0.76185 0.76175 0.76123 0.76187 0.76199 0.76103 20.000 20.010 20.005 0.76048 0.76098 0.76088 0.76050 0.76106 0.76117 0.76092 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 2.10549E-02 6.57864E-03 2.76335E-02 1.83183E-02 0.059731 9 1 10.0 0.0 180.0 6.79596E-02 2.12321E-02 2.22558E-03 2.34577E-02 1.84725E-02 0.032749 9 4 10.0 45.0 135.0 7.46693E-02 2.12019E-02 2.55379E-03 2.37556E-02 1.84461E-02 0.034201 9 7 10.0 90.0 90.0 1.00884E-01 2.13005E-02 4.91474E-03 2.62153E-02 1.85320E-02 0.048717 8 1 20.0 0.0 180.0 5.33813E-02 2.14180E-02 1.29256E-03 2.27106E-02 1.86342E-02 0.024214 8 4 20.0 45.0 135.0 5.94278E-02 2.13036E-02 1.50748E-03 2.28111E-02 1.85347E-02 0.025367 8 7 20.0 90.0 90.0 8.73858E-02 2.15155E-02 3.09254E-03 2.46080E-02 1.87190E-02 0.035390 7 1 30.0 0.0 180.0 4.62845E-02 2.17565E-02 1.11418E-03 2.28707E-02 1.89287E-02 0.024072 7 4 30.0 45.0 135.0 5.13067E-02 2.18638E-02 1.25022E-03 2.31140E-02 1.90221E-02 0.024368 7 7 30.0 90.0 90.0 7.48801E-02 2.20627E-02 2.08794E-03 2.41506E-02 1.91951E-02 0.027884 6 1 40.0 0.0 180.0 4.39327E-02 2.20721E-02 1.23883E-03 2.33110E-02 1.92033E-02 0.028198 6 4 40.0 45.0 135.0 4.80381E-02 2.21935E-02 1.34358E-03 2.35371E-02 1.93089E-02 0.027969 6 7 40.0 90.0 90.0 6.74447E-02 2.25341E-02 1.94194E-03 2.44760E-02 1.96052E-02 0.028793 5 1 50.0 0.0 180.0 4.60620E-02 2.25037E-02 1.95693E-03 2.44606E-02 1.95788E-02 0.042485 5 4 50.0 45.0 135.0 4.90853E-02 2.25329E-02 2.03876E-03 2.45716E-02 1.96041E-02 0.041535 5 7 50.0 90.0 90.0 6.52465E-02 2.29889E-02 2.63572E-03 2.56246E-02 2.00009E-02 0.040396 4 1 60.0 0.0 180.0 5.46763E-02 2.23165E-02 4.55872E-03 2.68752E-02 1.94159E-02 0.083377 4 4 60.0 45.0 135.0 5.59137E-02 2.23356E-02 4.50166E-03 2.68372E-02 1.94325E-02 0.080511 4 7 60.0 90.0 90.0 6.90461E-02 2.31284E-02 5.25692E-03 2.83853E-02 2.01223E-02 0.076136 3 1 70.0 0.0 180.0 7.58638E-02 2.08048E-02 1.25924E-02 3.33972E-02 1.81007E-02 0.165987 3 4 70.0 45.0 135.0 7.37285E-02 2.10548E-02 1.21162E-02 3.31711E-02 1.83182E-02 0.164336 3 7 70.0 90.0 90.0 8.24268E-02 2.18326E-02 1.31758E-02 3.50085E-02 1.89949E-02 0.159849 2 1 80.0 0.0 180.0 1.28894E-01 1.78679E-02 3.13010E-02 4.91689E-02 1.55455E-02 0.242843 2 4 80.0 45.0 135.0 1.19353E-01 1.80389E-02 3.02746E-02 4.83135E-02 1.56943E-02 0.253655 2 7 80.0 90.0 90.0 1.18578E-01 1.87221E-02 3.17057E-02 5.04278E-02 1.62887E-02 0.267382 1 1 87.5 0.0 180.0 2.08398E-01 1.43873E-02 5.52036E-02 6.95909E-02 1.25173E-02 0.264896 1 4 87.5 45.0 135.0 1.87636E-01 1.38252E-02 5.48628E-02 6.86881E-02 1.20283E-02 0.292389 1 7 87.5 90.0 90.0 1.70708E-01 1.58649E-02 5.61485E-02 7.20133E-02 1.38028E-02 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 2.763E-02 1.101E-01 1.390E-01 1.214E-01 1.791E-01 2.404E-02 4.039E+00 2.105E-02 1.832E-02 1 0.00 0.00 3.905E-02 2.057E-01 6.799E-02 7.777E-02 9.748E-02 3.268E-02 4.025E+00 3 23.28 5.00 1.082E-03 1.663E-02 3.340E-03 3.415E-03 3.499E-03 3.416E-02 4.603E+00 5 46.56 10.00 2.397E-05 3.650E-04 7.567E-05 7.573E-05 7.579E-05 3.424E-02 4.603E+00 7 69.83 15.00 5.323E-07 8.075E-06 1.679E-06 1.679E-06 1.679E-06 3.436E-02 4.599E+00 9 93.11 20.00 1.187E-08 1.792E-07 3.735E-08 3.735E-08 3.735E-08 3.451E-02 4.596E+00 Waveband 8 of 40 completed in 19.8 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 25.9 m at 435.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 430.0 nm to 440.0 nm: Ed(diffuse) = 4.073E-01 Ed(direct) = 7.763E-01 Ed(total) = 1.184E+00 Absorption Coefficients of Individual Components at 435.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0053 0.0600 0.0129 0.2680 0.3462 3 22.763 5.000 0.0053 0.0600 0.0129 0.2680 0.3462 5 45.526 10.000 0.0053 0.0600 0.0129 0.2680 0.3462 7 68.290 15.000 0.0053 0.0600 0.0129 0.2680 0.3462 9 91.053 20.000 0.0053 0.0600 0.0129 0.2680 0.3462 Scattering Coefficients of Individual Components at 435.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0053 0.6175 0.0000 3.5837 4.2065 3 22.763 5.000 0.0053 0.6175 0.0000 3.5837 4.2065 5 45.526 10.000 0.0053 0.6175 0.0000 3.5837 4.2065 7 68.290 15.000 0.0053 0.6175 0.0000 3.5837 4.2065 9 91.053 20.000 0.0053 0.6175 0.0000 3.5837 4.2065 Backscattering Coefficients of Individual Components at 435.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00264 0.00618 0.00000 0.10751 0.11632 3 22.763 5.000 0.00264 0.00618 0.00000 0.10751 0.11632 5 45.526 10.000 0.00264 0.00618 0.00000 0.10751 0.11632 7 68.290 15.000 0.00264 0.00618 0.00000 0.10751 0.11632 9 91.053 20.000 0.00264 0.00618 0.00000 0.10751 0.11632 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 0.3462 4.2065 4.5526 0.9240 0.11632 0.02765 3 22.763 5.000 0.3462 4.2065 4.5526 0.9240 0.11632 0.02765 5 45.526 10.000 0.3462 4.2065 4.5526 0.9240 0.11632 0.02765 7 68.290 15.000 0.3462 4.2065 4.5526 0.9240 0.11632 0.02765 9 91.053 20.000 0.3462 4.2065 4.5526 0.9240 0.11632 0.02765 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.6879E-01 8 20.00 8.9024E-01 7 30.00 7.7754E-01 6 40.00 6.4990E-01 5 50.00 5.2438E-01 4 60.00 4.1261E-01 3 70.00 3.2010E-01 2 80.00 2.4800E-01 1 87.50 2.0468E-01 1 92.50 1.7853E-01 2 100.00 1.4936E-01 3 110.00 1.2043E-01 4 120.00 9.9326E-02 5 130.00 8.4295E-02 6 140.00 7.3760E-02 7 150.00 6.6568E-02 8 160.00 6.1924E-02 9 170.00 5.9320E-02 10 180.00 5.8389E-02 Asymptotic AOP values are MUu(inf) = 0.4045 MUd(inf) = 0.6318 MU(inf) = 0.4403 R(inf) = 0.1451 Lu(inf)/Ed(inf) = 0.031167 (1/sr) k(inf) = 0.7862 (1/m) absorp(check) = 0.3462 = 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 2.5760E-01 1.7187E+00 1.9763E+00 1.0796E-01 1.1836E+00 0.4191 0.6887 0.5443 9.1210E-02 1 0.00 0.00 3.3365E-01 1.5452E+00 1.8788E+00 1.4788E-01 1.2235E+00 0.4432 0.7918 0.5725 1.2087E-01 3 22.76 5.00 1.0450E-02 4.6003E-02 5.6454E-02 4.2307E-03 2.9083E-02 0.4048 0.6322 0.4402 1.4547E-01 5 45.53 10.00 2.0678E-04 9.0834E-04 1.1151E-03 8.3712E-05 5.7359E-04 0.4048 0.6315 0.4393 1.4594E-01 7 68.29 15.00 4.1019E-06 1.7959E-05 2.2061E-05 1.6616E-06 1.1337E-05 0.4051 0.6312 0.4386 1.4657E-01 9 91.05 20.00 8.2020E-08 3.5707E-07 4.3909E-07 3.3260E-08 2.2526E-07 0.4055 0.6309 0.4373 1.4765E-01 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 0.31581 0.43181 0.41121 0.35378 0.57414 0.60447 0.51430 5.000 5.010 5.005 0.78318 0.78364 0.78355 0.78347 0.78460 0.78480 0.78392 10.000 10.010 10.005 0.78462 0.78514 0.78505 0.78450 0.78514 0.78525 0.78430 15.000 15.010 15.005 0.78338 0.78425 0.78409 0.78321 0.78433 0.78452 0.78288 20.000 20.010 20.005 0.78139 0.78278 0.78252 0.78116 0.78294 0.78324 0.78066 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 1.96918E-02 6.75154E-03 2.64433E-02 1.66368E-02 0.061424 9 1 10.0 0.0 180.0 6.78230E-02 1.98638E-02 2.24609E-03 2.21099E-02 1.67821E-02 0.033117 9 4 10.0 45.0 135.0 7.45191E-02 1.98336E-02 2.58081E-03 2.24144E-02 1.67565E-02 0.034633 9 7 10.0 90.0 90.0 1.00682E-01 1.99222E-02 5.02001E-03 2.49422E-02 1.68315E-02 0.049860 8 1 20.0 0.0 180.0 5.32740E-02 2.00431E-02 1.29122E-03 2.13343E-02 1.69336E-02 0.024237 8 4 20.0 45.0 135.0 5.93083E-02 1.99328E-02 1.50772E-03 2.14405E-02 1.68404E-02 0.025422 8 7 20.0 90.0 90.0 8.72100E-02 2.01256E-02 3.13012E-03 2.32558E-02 1.70033E-02 0.035892 7 1 30.0 0.0 180.0 4.61914E-02 2.03658E-02 1.11194E-03 2.14777E-02 1.72062E-02 0.024072 7 4 30.0 45.0 135.0 5.12045E-02 2.04616E-02 1.24786E-03 2.17095E-02 1.72872E-02 0.024370 7 7 30.0 90.0 90.0 7.47236E-02 2.06414E-02 2.09235E-03 2.27337E-02 1.74390E-02 0.028001 6 1 40.0 0.0 180.0 4.38444E-02 2.06698E-02 1.23634E-03 2.19061E-02 1.74630E-02 0.028198 6 4 40.0 45.0 135.0 4.79415E-02 2.07779E-02 1.34088E-03 2.21188E-02 1.75544E-02 0.027969 6 7 40.0 90.0 90.0 6.73091E-02 2.10915E-02 1.93860E-03 2.30301E-02 1.78193E-02 0.028801 5 1 50.0 0.0 180.0 4.59694E-02 2.10830E-02 1.95299E-03 2.30360E-02 1.78121E-02 0.042485 5 4 50.0 45.0 135.0 4.89866E-02 2.11048E-02 2.03466E-03 2.31395E-02 1.78306E-02 0.041535 5 7 50.0 90.0 90.0 6.51153E-02 2.15304E-02 2.63042E-03 2.41608E-02 1.81901E-02 0.040396 4 1 60.0 0.0 180.0 5.45664E-02 2.09174E-02 4.54956E-03 2.54669E-02 1.76722E-02 0.083377 4 4 60.0 45.0 135.0 5.58013E-02 2.09303E-02 4.49261E-03 2.54229E-02 1.76832E-02 0.080511 4 7 60.0 90.0 90.0 6.89073E-02 2.16764E-02 5.24635E-03 2.69228E-02 1.83135E-02 0.076136 3 1 70.0 0.0 180.0 7.57113E-02 1.95123E-02 1.25671E-02 3.20794E-02 1.64852E-02 0.165987 3 4 70.0 45.0 135.0 7.35803E-02 1.97436E-02 1.20919E-02 3.18354E-02 1.66805E-02 0.164336 3 7 70.0 90.0 90.0 8.22610E-02 2.04830E-02 1.31493E-02 3.36323E-02 1.73052E-02 0.159849 2 1 80.0 0.0 180.0 1.28635E-01 1.67682E-02 3.12380E-02 4.80063E-02 1.41668E-02 0.242843 2 4 80.0 45.0 135.0 1.19113E-01 1.69274E-02 3.02137E-02 4.71410E-02 1.43012E-02 0.253655 2 7 80.0 90.0 90.0 1.18340E-01 1.75825E-02 3.16419E-02 4.92245E-02 1.48547E-02 0.267382 1 1 87.5 0.0 180.0 2.07978E-01 1.35110E-02 5.50926E-02 6.86037E-02 1.14149E-02 0.264896 1 4 87.5 45.0 135.0 1.87259E-01 1.29833E-02 5.47525E-02 6.77357E-02 1.09690E-02 0.292389 1 7 87.5 90.0 90.0 1.70364E-01 1.49163E-02 5.60356E-02 7.09519E-02 1.26022E-02 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 2.644E-02 1.099E-01 1.383E-01 1.207E-01 1.783E-01 2.234E-02 4.083E+00 1.969E-02 1.664E-02 1 0.00 0.00 3.652E-02 2.052E-01 6.420E-02 7.379E-02 9.342E-02 2.985E-02 4.050E+00 3 22.76 5.00 9.102E-04 1.564E-02 2.897E-03 2.971E-03 3.056E-03 3.130E-02 4.648E+00 5 45.53 10.00 1.801E-05 3.059E-04 5.879E-05 5.885E-05 5.891E-05 3.140E-02 4.647E+00 7 68.29 15.00 3.580E-07 6.041E-06 1.166E-06 1.166E-06 1.166E-06 3.158E-02 4.641E+00 9 91.05 20.00 7.181E-09 1.199E-07 2.326E-08 2.326E-08 2.326E-08 3.188E-02 4.632E+00 Waveband 9 of 40 completed in 19.5 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 25.9 m at 445.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 440.0 nm to 450.0 nm: Ed(diffuse) = 4.682E-01 Ed(direct) = 9.292E-01 Ed(total) = 1.397E+00 Absorption Coefficients of Individual Components at 445.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0075 0.0582 0.0112 0.2600 0.3369 3 22.252 5.000 0.0075 0.0582 0.0112 0.2600 0.3369 5 44.504 10.000 0.0075 0.0582 0.0112 0.2600 0.3369 7 66.757 15.000 0.0075 0.0582 0.0112 0.2600 0.3369 9 89.009 20.000 0.0075 0.0582 0.0112 0.2600 0.3369 Scattering Coefficients of Individual Components at 445.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0048 0.6036 0.0000 3.5051 4.1136 3 22.252 5.000 0.0048 0.6036 0.0000 3.5051 4.1136 5 44.504 10.000 0.0048 0.6036 0.0000 3.5051 4.1136 7 66.757 15.000 0.0048 0.6036 0.0000 3.5051 4.1136 9 89.009 20.000 0.0048 0.6036 0.0000 3.5051 4.1136 Backscattering Coefficients of Individual Components at 445.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00239 0.00604 0.00000 0.10515 0.11358 3 22.252 5.000 0.00239 0.00604 0.00000 0.10515 0.11358 5 44.504 10.000 0.00239 0.00604 0.00000 0.10515 0.11358 7 66.757 15.000 0.00239 0.00604 0.00000 0.10515 0.11358 9 89.009 20.000 0.00239 0.00604 0.00000 0.10515 0.11358 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 0.3369 4.1136 4.4504 0.9243 0.11358 0.02761 3 22.252 5.000 0.3369 4.1136 4.4504 0.9243 0.11358 0.02761 5 44.504 10.000 0.3369 4.1136 4.4504 0.9243 0.11358 0.02761 7 66.757 15.000 0.3369 4.1136 4.4504 0.9243 0.11358 0.02761 9 89.009 20.000 0.3369 4.1136 4.4504 0.9243 0.11358 0.02761 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.6887E-01 8 20.00 8.9053E-01 7 30.00 7.7808E-01 6 40.00 6.5066E-01 5 50.00 5.2528E-01 4 60.00 4.1355E-01 3 70.00 3.2101E-01 2 80.00 2.4883E-01 1 87.50 2.0543E-01 1 92.50 1.7923E-01 2 100.00 1.4999E-01 3 110.00 1.2096E-01 4 120.00 9.9784E-02 5 130.00 8.4693E-02 6 140.00 7.4111E-02 7 150.00 6.6885E-02 8 160.00 6.2219E-02 9 170.00 5.9602E-02 10 180.00 5.8665E-02 Asymptotic AOP values are MUu(inf) = 0.4046 MUd(inf) = 0.6315 MU(inf) = 0.4396 R(inf) = 0.1456 Lu(inf)/Ed(inf) = 0.031278 (1/sr) k(inf) = 0.7663 (1/m) absorp(check) = 0.3369 = 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 3.0155E-01 2.0183E+00 2.3199E+00 1.2722E-01 1.3974E+00 0.4219 0.6924 0.5475 9.1042E-02 1 0.00 0.00 3.9483E-01 1.8242E+00 2.2190E+00 1.7507E-01 1.4452E+00 0.4434 0.7923 0.5724 1.2114E-01 3 22.25 5.00 1.3673E-02 6.0067E-02 7.3740E-02 5.5359E-03 3.7963E-02 0.4049 0.6320 0.4398 1.4582E-01 5 44.50 10.00 2.9833E-04 1.3089E-03 1.6072E-03 1.2076E-04 8.2630E-04 0.4048 0.6313 0.4390 1.4615E-01 7 66.76 15.00 6.5088E-06 2.8509E-05 3.5018E-05 2.6356E-06 1.7994E-05 0.4049 0.6312 0.4386 1.4647E-01 9 89.01 20.00 1.4257E-07 6.2260E-07 7.6517E-07 5.7772E-08 3.9285E-07 0.4052 0.6310 0.4379 1.4706E-01 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 0.30782 0.42163 0.40137 0.34353 0.55874 0.58844 0.50006 5.000 5.010 5.005 0.76332 0.76367 0.76360 0.76366 0.76473 0.76491 0.76422 10.000 10.010 10.005 0.76525 0.76552 0.76547 0.76520 0.76555 0.76561 0.76511 15.000 15.010 15.005 0.76470 0.76512 0.76504 0.76462 0.76516 0.76526 0.76446 20.000 20.010 20.005 0.76320 0.76440 0.76417 0.76277 0.76451 0.76481 0.76133 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 2.33263E-02 7.94837E-03 3.12746E-02 1.66926E-02 0.062911 9 1 10.0 0.0 180.0 7.79584E-02 2.35280E-02 2.60697E-03 2.61350E-02 1.68369E-02 0.033441 9 4 10.0 45.0 135.0 8.56552E-02 2.34927E-02 2.99894E-03 2.64916E-02 1.68116E-02 0.035012 9 7 10.0 90.0 90.0 1.15727E-01 2.35990E-02 5.88645E-03 2.94854E-02 1.68877E-02 0.050865 8 1 20.0 0.0 180.0 6.12352E-02 2.37387E-02 1.48545E-03 2.52242E-02 1.69877E-02 0.024258 8 4 20.0 45.0 135.0 6.81713E-02 2.36089E-02 1.73634E-03 2.53452E-02 1.68948E-02 0.025470 8 7 20.0 90.0 90.0 1.00243E-01 2.38394E-02 3.64209E-03 2.74815E-02 1.70598E-02 0.036333 7 1 30.0 0.0 180.0 5.30942E-02 2.41190E-02 1.27811E-03 2.53971E-02 1.72598E-02 0.024072 7 4 30.0 45.0 135.0 5.88574E-02 2.42336E-02 1.43450E-03 2.56681E-02 1.73419E-02 0.024372 7 7 30.0 90.0 90.0 8.58844E-02 2.44495E-02 2.41373E-03 2.68632E-02 1.74963E-02 0.028104 6 1 40.0 0.0 180.0 5.03965E-02 2.44761E-02 1.42110E-03 2.58972E-02 1.75154E-02 0.028198 6 4 40.0 45.0 135.0 5.51058E-02 2.46055E-02 1.54126E-03 2.61468E-02 1.76080E-02 0.027969 6 7 40.0 90.0 90.0 7.73677E-02 2.49810E-02 2.22887E-03 2.72099E-02 1.78767E-02 0.028809 5 1 50.0 0.0 180.0 5.28390E-02 2.49622E-02 2.24484E-03 2.72070E-02 1.78632E-02 0.042485 5 4 50.0 45.0 135.0 5.63071E-02 2.49897E-02 2.33872E-03 2.73284E-02 1.78829E-02 0.041535 5 7 50.0 90.0 90.0 7.48461E-02 2.54988E-02 3.02351E-03 2.85224E-02 1.82473E-02 0.040396 4 1 60.0 0.0 180.0 6.27208E-02 2.47627E-02 5.22944E-03 2.99921E-02 1.77205E-02 0.083377 4 4 60.0 45.0 135.0 6.41402E-02 2.47800E-02 5.16398E-03 2.99439E-02 1.77328E-02 0.080511 4 7 60.0 90.0 90.0 7.92047E-02 2.56695E-02 6.03036E-03 3.16999E-02 1.83694E-02 0.076136 3 1 70.0 0.0 180.0 8.70255E-02 2.30954E-02 1.44451E-02 3.75405E-02 1.65273E-02 0.165987 3 4 70.0 45.0 135.0 8.45761E-02 2.33712E-02 1.38989E-02 3.72700E-02 1.67247E-02 0.164336 3 7 70.0 90.0 90.0 9.45540E-02 2.42533E-02 1.51144E-02 3.93677E-02 1.73559E-02 0.159849 2 1 80.0 0.0 180.0 1.47858E-01 1.98440E-02 3.59062E-02 5.57503E-02 1.42006E-02 0.242843 2 4 80.0 45.0 135.0 1.36913E-01 2.00343E-02 3.47288E-02 5.47631E-02 1.43368E-02 0.253655 2 7 80.0 90.0 90.0 1.36024E-01 2.08164E-02 3.63705E-02 5.71869E-02 1.48965E-02 0.267382 1 1 87.5 0.0 180.0 2.39059E-01 1.59865E-02 6.33256E-02 7.93121E-02 1.14401E-02 0.264896 1 4 87.5 45.0 135.0 2.15243E-01 1.53637E-02 6.29347E-02 7.82984E-02 1.09945E-02 0.292389 1 7 87.5 90.0 90.0 1.95824E-01 1.76575E-02 6.44095E-02 8.20670E-02 1.26359E-02 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 3.127E-02 1.263E-01 1.592E-01 1.389E-01 2.053E-01 2.238E-02 4.068E+00 2.333E-02 1.669E-02 1 0.00 0.00 4.326E-02 2.359E-01 7.585E-02 8.724E-02 1.106E-01 2.993E-02 4.047E+00 3 22.25 5.00 1.191E-03 2.041E-02 3.781E-03 3.885E-03 4.006E-03 3.137E-02 4.649E+00 5 44.50 10.00 2.597E-05 4.403E-04 8.480E-05 8.491E-05 8.501E-05 3.143E-02 4.650E+00 7 66.76 15.00 5.672E-07 9.584E-06 1.851E-06 1.851E-06 1.851E-06 3.152E-02 4.647E+00 9 89.01 20.00 1.246E-08 2.091E-07 4.049E-08 4.049E-08 4.049E-08 3.171E-02 4.638E+00 Waveband 10 of 40 completed in 19.2 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 25.9 m at 455.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 450.0 nm to 460.0 nm: Ed(diffuse) = 4.888E-01 Ed(direct) = 1.007E+00 Ed(total) = 1.495E+00 Absorption Coefficients of Individual Components at 455.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0096 0.0552 0.0097 0.2466 0.3211 3 21.758 5.000 0.0096 0.0552 0.0097 0.2466 0.3211 5 43.516 10.000 0.0096 0.0552 0.0097 0.2466 0.3211 7 65.274 15.000 0.0096 0.0552 0.0097 0.2466 0.3211 9 87.033 20.000 0.0096 0.0552 0.0097 0.2466 0.3211 Scattering Coefficients of Individual Components at 455.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0043 0.5904 0.0000 3.4358 4.0305 3 21.758 5.000 0.0043 0.5904 0.0000 3.4358 4.0305 5 43.516 10.000 0.0043 0.5904 0.0000 3.4358 4.0305 7 65.274 15.000 0.0043 0.5904 0.0000 3.4358 4.0305 9 87.033 20.000 0.0043 0.5904 0.0000 3.4358 4.0305 Backscattering Coefficients of Individual Components at 455.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00217 0.00590 0.00000 0.10307 0.11115 3 21.758 5.000 0.00217 0.00590 0.00000 0.10307 0.11115 5 43.516 10.000 0.00217 0.00590 0.00000 0.10307 0.11115 7 65.274 15.000 0.00217 0.00590 0.00000 0.10307 0.11115 9 87.033 20.000 0.00217 0.00590 0.00000 0.10307 0.11115 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 0.3211 4.0305 4.3516 0.9262 0.11115 0.02758 3 21.758 5.000 0.3211 4.0305 4.3516 0.9262 0.11115 0.02758 5 43.516 10.000 0.3211 4.0305 4.3516 0.9262 0.11115 0.02758 7 65.274 15.000 0.3211 4.0305 4.3516 0.9262 0.11115 0.02758 9 87.033 20.000 0.3211 4.0305 4.3516 0.9262 0.11115 0.02758 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.6936E-01 8 20.00 8.9215E-01 7 30.00 7.8111E-01 6 40.00 6.5495E-01 5 50.00 5.3038E-01 4 60.00 4.1895E-01 3 70.00 3.2628E-01 2 80.00 2.5372E-01 1 87.50 2.0993E-01 1 92.50 1.8342E-01 2 100.00 1.5377E-01 3 110.00 1.2427E-01 4 120.00 1.0267E-01 5 130.00 8.7243E-02 6 140.00 7.6402E-02 7 150.00 6.8987E-02 8 160.00 6.4191E-02 9 170.00 6.1499E-02 10 180.00 6.0536E-02 Asymptotic AOP values are MUu(inf) = 0.4053 MUd(inf) = 0.6298 MU(inf) = 0.4353 R(inf) = 0.1489 Lu(inf)/Ed(inf) = 0.032061 (1/sr) k(inf) = 0.7377 (1/m) absorp(check) = 0.3211 = 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 3.2399E-01 2.1495E+00 2.4735E+00 1.3790E-01 1.4954E+00 0.4256 0.6957 0.5488 9.2214E-02 1 0.00 0.00 4.3252E-01 1.9592E+00 2.3918E+00 1.9207E-01 1.5496E+00 0.4441 0.7909 0.5676 1.2395E-01 3 21.76 5.00 1.7246E-02 7.4448E-02 9.1693E-02 6.9948E-03 4.6932E-02 0.4056 0.6304 0.4356 1.4904E-01 5 43.52 10.00 4.3374E-04 1.8710E-03 2.3048E-03 1.7587E-04 1.1781E-03 0.4055 0.6296 0.4348 1.4929E-01 7 65.27 15.00 1.0891E-05 4.6946E-05 5.7837E-05 4.4165E-06 2.9556E-05 0.4055 0.6296 0.4347 1.4943E-01 9 87.03 20.00 2.7388E-07 1.1791E-06 1.4530E-06 1.1110E-07 7.4226E-07 0.4056 0.6295 0.4344 1.4968E-01 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 0.29877 0.40986 0.38976 0.32931 0.53630 0.56562 0.47953 5.000 5.010 5.005 0.73465 0.73494 0.73489 0.73505 0.73609 0.73627 0.73569 10.000 10.010 10.005 0.73701 0.73715 0.73712 0.73698 0.73714 0.73717 0.73693 15.000 15.010 15.005 0.73678 0.73695 0.73692 0.73676 0.73697 0.73701 0.73669 20.000 20.010 20.005 0.73610 0.73669 0.73658 0.73585 0.73673 0.73688 0.73506 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 2.56463E-02 8.48427E-03 3.41306E-02 1.71497E-02 0.064320 9 1 10.0 0.0 180.0 8.13927E-02 2.58636E-02 2.74675E-03 2.86103E-02 1.72949E-02 0.033747 9 4 10.0 45.0 135.0 8.94286E-02 2.58260E-02 3.16313E-03 2.89891E-02 1.72698E-02 0.035370 9 7 10.0 90.0 90.0 1.20826E-01 2.59456E-02 6.26069E-03 3.22063E-02 1.73498E-02 0.051816 8 1 20.0 0.0 180.0 6.39329E-02 2.60913E-02 1.55216E-03 2.76435E-02 1.74473E-02 0.024278 8 4 20.0 45.0 135.0 7.11745E-02 2.59506E-02 1.81610E-03 2.77667E-02 1.73532E-02 0.025516 8 7 20.0 90.0 90.0 1.04659E-01 2.62084E-02 3.84625E-03 3.00547E-02 1.75255E-02 0.036750 7 1 30.0 0.0 180.0 5.54332E-02 2.65050E-02 1.33441E-03 2.78394E-02 1.77239E-02 0.024072 7 4 30.0 45.0 135.0 6.14512E-02 2.66337E-02 1.49785E-03 2.81316E-02 1.78100E-02 0.024375 7 7 30.0 90.0 90.0 8.96620E-02 2.68768E-02 2.52866E-03 2.94055E-02 1.79725E-02 0.028202 6 1 40.0 0.0 180.0 5.26166E-02 2.68909E-02 1.48370E-03 2.83746E-02 1.79819E-02 0.028198 6 4 40.0 45.0 135.0 5.75335E-02 2.70366E-02 1.60916E-03 2.86458E-02 1.80793E-02 0.027969 6 7 40.0 90.0 90.0 8.07761E-02 2.74561E-02 2.32762E-03 2.97838E-02 1.83599E-02 0.028816 5 1 50.0 0.0 180.0 5.51668E-02 2.74180E-02 2.34374E-03 2.97617E-02 1.83344E-02 0.042485 5 4 50.0 45.0 135.0 5.87877E-02 2.74520E-02 2.44175E-03 2.98938E-02 1.83572E-02 0.041535 5 7 50.0 90.0 90.0 7.81434E-02 2.80185E-02 3.15670E-03 3.11752E-02 1.87359E-02 0.040396 4 1 60.0 0.0 180.0 6.54838E-02 2.71914E-02 5.45982E-03 3.26512E-02 1.81829E-02 0.083377 4 4 60.0 45.0 135.0 6.69658E-02 2.72144E-02 5.39147E-03 3.26058E-02 1.81982E-02 0.080511 4 7 60.0 90.0 90.0 8.26940E-02 2.81982E-02 6.29602E-03 3.44942E-02 1.88561E-02 0.076136 3 1 70.0 0.0 180.0 9.08593E-02 2.53517E-02 1.50815E-02 4.04332E-02 1.69527E-02 0.165987 3 4 70.0 45.0 135.0 8.83020E-02 2.56581E-02 1.45112E-02 4.01693E-02 1.71576E-02 0.164336 3 7 70.0 90.0 90.0 9.87195E-02 2.66320E-02 1.57802E-02 4.24122E-02 1.78088E-02 0.159849 2 1 80.0 0.0 180.0 1.54371E-01 2.17752E-02 3.74880E-02 5.92633E-02 1.45611E-02 0.242843 2 4 80.0 45.0 135.0 1.42945E-01 2.19870E-02 3.62587E-02 5.82457E-02 1.47027E-02 0.253655 2 7 80.0 90.0 90.0 1.42017E-01 2.28493E-02 3.79727E-02 6.08220E-02 1.52793E-02 0.267382 1 1 87.5 0.0 180.0 2.49590E-01 1.75357E-02 6.61154E-02 8.36511E-02 1.17261E-02 0.264896 1 4 87.5 45.0 135.0 2.24725E-01 1.68548E-02 6.57072E-02 8.25620E-02 1.12708E-02 0.292389 1 7 87.5 90.0 90.0 2.04450E-01 1.93734E-02 6.72470E-02 8.66204E-02 1.29550E-02 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 3.413E-02 1.319E-01 1.666E-01 1.455E-01 2.148E-01 2.282E-02 4.040E+00 2.565E-02 1.715E-02 1 0.00 0.00 4.756E-02 2.463E-01 8.295E-02 9.537E-02 1.207E-01 3.069E-02 4.038E+00 3 21.76 5.00 1.508E-03 2.509E-02 4.738E-03 4.877E-03 5.037E-03 3.214E-02 4.637E+00 5 43.52 10.00 3.791E-05 6.237E-04 1.227E-04 1.229E-04 1.231E-04 3.218E-02 4.640E+00 7 65.27 15.00 9.521E-07 1.564E-05 3.085E-06 3.085E-06 3.085E-06 3.222E-02 4.638E+00 9 87.03 20.00 2.397E-08 3.928E-07 7.753E-08 7.753E-08 7.753E-08 3.230E-02 4.634E+00 Waveband 11 of 40 completed in 18.7 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 25.9 m at 465.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 460.0 nm to 470.0 nm: Ed(diffuse) = 4.757E-01 Ed(direct) = 1.013E+00 Ed(total) = 1.489E+00 Absorption Coefficients of Individual Components at 465.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0101 0.0540 0.0085 0.2412 0.3138 3 21.287 5.000 0.0101 0.0540 0.0085 0.2412 0.3138 5 42.574 10.000 0.0101 0.0540 0.0085 0.2412 0.3138 7 63.861 15.000 0.0101 0.0540 0.0085 0.2412 0.3138 9 85.147 20.000 0.0101 0.0540 0.0085 0.2412 0.3138 Scattering Coefficients of Individual Components at 465.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0040 0.5777 0.0000 3.3620 3.9436 3 21.287 5.000 0.0040 0.5777 0.0000 3.3620 3.9436 5 42.574 10.000 0.0040 0.5777 0.0000 3.3620 3.9436 7 63.861 15.000 0.0040 0.5777 0.0000 3.3620 3.9436 9 85.147 20.000 0.0040 0.5777 0.0000 3.3620 3.9436 Backscattering Coefficients of Individual Components at 465.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00198 0.00578 0.00000 0.10086 0.10861 3 21.287 5.000 0.00198 0.00578 0.00000 0.10086 0.10861 5 42.574 10.000 0.00198 0.00578 0.00000 0.10086 0.10861 7 63.861 15.000 0.00198 0.00578 0.00000 0.10086 0.10861 9 85.147 20.000 0.00198 0.00578 0.00000 0.10086 0.10861 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 0.3138 3.9436 4.2574 0.9263 0.10861 0.02754 3 21.287 5.000 0.3138 3.9436 4.2574 0.9263 0.10861 0.02754 5 42.574 10.000 0.3138 3.9436 4.2574 0.9263 0.10861 0.02754 7 63.861 15.000 0.3138 3.9436 4.2574 0.9263 0.10861 0.02754 9 85.147 20.000 0.3138 3.9436 4.2574 0.9263 0.10861 0.02754 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.6938E-01 8 20.00 8.9223E-01 7 30.00 7.8125E-01 6 40.00 6.5514E-01 5 50.00 5.3060E-01 4 60.00 4.1918E-01 3 70.00 3.2650E-01 2 80.00 2.5391E-01 1 87.50 2.1010E-01 1 92.50 1.8357E-01 2 100.00 1.5390E-01 3 110.00 1.2437E-01 4 120.00 1.0276E-01 5 130.00 8.7314E-02 6 140.00 7.6460E-02 7 150.00 6.9036E-02 8 160.00 6.4234E-02 9 170.00 6.1538E-02 10 180.00 6.0573E-02 Asymptotic AOP values are MUu(inf) = 0.4053 MUd(inf) = 0.6297 MU(inf) = 0.4352 R(inf) = 0.1490 Lu(inf)/Ed(inf) = 0.032072 (1/sr) k(inf) = 0.7210 (1/m) absorp(check) = 0.3138 = 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 3.2006E-01 2.1311E+00 2.4512E+00 1.3695E-01 1.4892E+00 0.4279 0.6988 0.5517 9.1962E-02 1 0.00 0.00 4.3073E-01 1.9503E+00 2.3811E+00 1.9132E-01 1.5435E+00 0.4442 0.7914 0.5679 1.2395E-01 3 21.29 5.00 1.8690E-02 8.0653E-02 9.9343E-02 7.5805E-03 5.0846E-02 0.4056 0.6304 0.4355 1.4909E-01 5 42.57 10.00 5.1069E-04 2.2030E-03 2.7137E-03 2.0704E-04 1.3870E-03 0.4054 0.6296 0.4348 1.4928E-01 7 63.86 15.00 1.3918E-05 6.0024E-05 7.3942E-05 5.6426E-06 3.7790E-05 0.4054 0.6296 0.4348 1.4932E-01 9 85.15 20.00 3.7936E-07 1.6359E-06 2.0152E-06 1.5380E-07 1.0299E-06 0.4054 0.6296 0.4347 1.4934E-01 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 0.29210 0.40107 0.38135 0.32110 0.52357 0.55225 0.46793 5.000 5.010 5.005 0.71784 0.71808 0.71803 0.71828 0.71933 0.71951 0.71902 10.000 10.010 10.005 0.72054 0.72058 0.72057 0.72052 0.72058 0.72058 0.72051 15.000 15.010 15.005 0.72049 0.72054 0.72053 0.72049 0.72054 0.72055 0.72047 20.000 20.010 20.005 0.72059 0.72049 0.72051 0.72066 0.72049 0.72046 0.72091 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 2.55559E-02 8.42910E-03 3.39850E-02 1.71610E-02 0.065666 9 1 10.0 0.0 180.0 7.92052E-02 2.57709E-02 2.69613E-03 2.84670E-02 1.73053E-02 0.034040 9 4 10.0 45.0 135.0 8.70251E-02 2.57338E-02 3.10798E-03 2.88417E-02 1.72804E-02 0.035714 9 7 10.0 90.0 90.0 1.17578E-01 2.58539E-02 6.19937E-03 3.20532E-02 1.73610E-02 0.052726 8 1 20.0 0.0 180.0 6.22146E-02 2.59966E-02 1.51161E-03 2.75082E-02 1.74568E-02 0.024297 8 4 20.0 45.0 135.0 6.92616E-02 2.58568E-02 1.77032E-03 2.76272E-02 1.73630E-02 0.025560 8 7 20.0 90.0 90.0 1.01846E-01 2.61152E-02 3.78355E-03 2.98988E-02 1.75365E-02 0.037150 7 1 30.0 0.0 180.0 5.39434E-02 2.64072E-02 1.29855E-03 2.77057E-02 1.77326E-02 0.024072 7 4 30.0 45.0 135.0 5.98005E-02 2.65362E-02 1.45774E-03 2.79939E-02 1.78192E-02 0.024377 7 7 30.0 90.0 90.0 8.72468E-02 2.67806E-02 2.46870E-03 2.92492E-02 1.79833E-02 0.028296 6 1 40.0 0.0 180.0 5.12025E-02 2.67892E-02 1.44382E-03 2.82330E-02 1.79891E-02 0.028198 6 4 40.0 45.0 135.0 5.59872E-02 2.69353E-02 1.56591E-03 2.85012E-02 1.80872E-02 0.027969 6 7 40.0 90.0 90.0 7.86051E-02 2.73564E-02 2.26558E-03 2.96220E-02 1.83700E-02 0.028822 5 1 50.0 0.0 180.0 5.36841E-02 2.73117E-02 2.28075E-03 2.95924E-02 1.83399E-02 0.042485 5 4 50.0 45.0 135.0 5.72076E-02 2.73468E-02 2.37612E-03 2.97229E-02 1.83635E-02 0.041535 5 7 50.0 90.0 90.0 7.60432E-02 2.79151E-02 3.07186E-03 3.09870E-02 1.87451E-02 0.040396 4 1 60.0 0.0 180.0 6.37239E-02 2.70832E-02 5.31308E-03 3.23963E-02 1.81865E-02 0.083377 4 4 60.0 45.0 135.0 6.51660E-02 2.71075E-02 5.24657E-03 3.23540E-02 1.82028E-02 0.080511 4 7 60.0 90.0 90.0 8.04715E-02 2.80924E-02 6.12680E-03 3.42192E-02 1.88642E-02 0.076136 3 1 70.0 0.0 180.0 8.84173E-02 2.52477E-02 1.46761E-02 3.99238E-02 1.69540E-02 0.165987 3 4 70.0 45.0 135.0 8.59287E-02 2.55544E-02 1.41212E-02 3.96756E-02 1.71599E-02 0.164336 3 7 70.0 90.0 90.0 9.60663E-02 2.65300E-02 1.53561E-02 4.18860E-02 1.78150E-02 0.159849 2 1 80.0 0.0 180.0 1.50222E-01 2.16832E-02 3.64805E-02 5.81637E-02 1.45604E-02 0.242843 2 4 80.0 45.0 135.0 1.39103E-01 2.18956E-02 3.52842E-02 5.71798E-02 1.47030E-02 0.253655 2 7 80.0 90.0 90.0 1.38200E-01 2.27599E-02 3.69522E-02 5.97121E-02 1.52834E-02 0.267382 1 1 87.5 0.0 180.0 2.42882E-01 1.74594E-02 6.43384E-02 8.17978E-02 1.17241E-02 0.264896 1 4 87.5 45.0 135.0 2.18685E-01 1.67828E-02 6.39412E-02 8.07240E-02 1.12697E-02 0.292389 1 7 87.5 90.0 90.0 1.98955E-01 1.92960E-02 6.54396E-02 8.47356E-02 1.29574E-02 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 3.399E-02 1.284E-01 1.623E-01 1.418E-01 2.093E-01 2.282E-02 4.030E+00 2.556E-02 1.716E-02 1 0.00 0.00 4.739E-02 2.397E-01 8.250E-02 9.491E-02 1.203E-01 3.070E-02 4.037E+00 3 21.29 5.00 1.634E-03 2.720E-02 5.123E-03 5.284E-03 5.471E-03 3.215E-02 4.638E+00 5 42.57 10.00 4.461E-05 7.342E-04 1.445E-04 1.447E-04 1.450E-04 3.216E-02 4.641E+00 7 63.86 15.00 1.216E-06 2.000E-05 3.944E-06 3.944E-06 3.944E-06 3.217E-02 4.641E+00 9 85.15 20.00 3.314E-08 5.450E-07 1.075E-07 1.075E-07 1.075E-07 3.217E-02 4.642E+00 Waveband 12 of 40 completed in 18.6 sec. * * * * * Output for wavelength band 13 (470.0 to 480.0 nm; nominal wavelength = 475.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 25.9 m at 475.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 470.0 nm to 480.0 nm: Ed(diffuse) = 4.727E-01 Ed(direct) = 1.039E+00 Ed(total) = 1.512E+00 Absorption Coefficients of Individual Components at 475.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0114 0.0498 0.0074 0.2224 0.2910 3 20.825 5.000 0.0114 0.0498 0.0074 0.2224 0.2910 5 41.650 10.000 0.0114 0.0498 0.0074 0.2224 0.2910 7 62.475 15.000 0.0114 0.0498 0.0074 0.2224 0.2910 9 83.300 20.000 0.0114 0.0498 0.0074 0.2224 0.2910 Scattering Coefficients of Individual Components at 475.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0036 0.5655 0.0000 3.3049 3.8740 3 20.825 5.000 0.0036 0.5655 0.0000 3.3049 3.8740 5 41.650 10.000 0.0036 0.5655 0.0000 3.3049 3.8740 7 62.475 15.000 0.0036 0.5655 0.0000 3.3049 3.8740 9 83.300 20.000 0.0036 0.5655 0.0000 3.3049 3.8740 Backscattering Coefficients of Individual Components at 475.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00180 0.00566 0.00000 0.09915 0.10660 3 20.825 5.000 0.00180 0.00566 0.00000 0.09915 0.10660 5 41.650 10.000 0.00180 0.00566 0.00000 0.09915 0.10660 7 62.475 15.000 0.00180 0.00566 0.00000 0.09915 0.10660 9 83.300 20.000 0.00180 0.00566 0.00000 0.09915 0.10660 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 0.2910 3.8740 4.1650 0.9301 0.10660 0.02752 3 20.825 5.000 0.2910 3.8740 4.1650 0.9301 0.10660 0.02752 5 41.650 10.000 0.2910 3.8740 4.1650 0.9301 0.10660 0.02752 7 62.475 15.000 0.2910 3.8740 4.1650 0.9301 0.10660 0.02752 9 83.300 20.000 0.2910 3.8740 4.1650 0.9301 0.10660 0.02752 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.7036E-01 8 20.00 8.9554E-01 7 30.00 7.8748E-01 6 40.00 6.6398E-01 5 50.00 5.4119E-01 4 60.00 4.3047E-01 3 70.00 3.3761E-01 2 80.00 2.6428E-01 1 87.50 2.1970E-01 1 92.50 1.9255E-01 2 100.00 1.6205E-01 3 110.00 1.3153E-01 4 120.00 1.0905E-01 5 130.00 9.2902E-02 6 140.00 8.1502E-02 7 150.00 7.3674E-02 8 160.00 6.8597E-02 9 170.00 6.5741E-02 10 180.00 6.4718E-02 Asymptotic AOP values are MUu(inf) = 0.4069 MUd(inf) = 0.6262 MU(inf) = 0.4261 R(inf) = 0.1561 Lu(inf)/Ed(inf) = 0.033799 (1/sr) k(inf) = 0.6829 (1/m) absorp(check) = 0.2910 = 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 3.3191E-01 2.1546E+00 2.4866E+00 1.4361E-01 1.5117E+00 0.4327 0.7016 0.5502 9.5000E-02 1 0.00 0.00 4.5986E-01 1.9970E+00 2.4569E+00 2.0482E-01 1.5729E+00 0.4454 0.7876 0.5568 1.3022E-01 3 20.82 5.00 2.3974E-02 9.9716E-02 1.2369E-01 9.7619E-03 6.2524E-02 0.4072 0.6270 0.4266 1.5613E-01 5 41.65 10.00 7.9186E-04 3.2936E-03 4.0854E-03 3.2226E-04 2.0622E-03 0.4070 0.6261 0.4259 1.5627E-01 7 62.47 15.00 2.6070E-05 1.0845E-04 1.3452E-04 1.0609E-05 6.7902E-05 0.4070 0.6261 0.4259 1.5624E-01 9 83.30 20.00 8.5827E-07 3.5702E-06 4.4285E-06 3.4930E-07 2.2354E-06 0.4070 0.6261 0.4259 1.5625E-01 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 0.28256 0.38866 0.36879 0.30290 0.49366 0.52226 0.44080 5.000 5.010 5.005 0.67973 0.67990 0.67987 0.68022 0.68125 0.68144 0.68104 10.000 10.010 10.005 0.68270 0.68268 0.68268 0.68270 0.68266 0.68265 0.68271 15.000 15.010 15.005 0.68273 0.68271 0.68271 0.68274 0.68271 0.68270 0.68275 20.000 20.010 20.005 0.68257 0.68275 0.68272 0.68245 0.68273 0.68278 0.68214 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 2.74769E-02 8.53835E-03 3.60152E-02 1.81763E-02 0.066936 9 1 10.0 0.0 180.0 7.87103E-02 2.77001E-02 2.70103E-03 3.04011E-02 1.83240E-02 0.034316 9 4 10.0 45.0 135.0 8.64814E-02 2.76623E-02 3.11653E-03 3.07789E-02 1.82990E-02 0.036037 9 7 10.0 90.0 90.0 1.16844E-01 2.77960E-02 6.26082E-03 3.40569E-02 1.83875E-02 0.053583 8 1 20.0 0.0 180.0 6.18259E-02 2.79357E-02 1.50327E-03 2.94390E-02 1.84799E-02 0.024315 8 4 20.0 45.0 135.0 6.88288E-02 2.77892E-02 1.76211E-03 2.95513E-02 1.83830E-02 0.025601 8 7 20.0 90.0 90.0 1.01210E-01 2.80741E-02 3.79801E-03 3.18721E-02 1.85714E-02 0.037526 7 1 30.0 0.0 180.0 5.36063E-02 2.83694E-02 1.29043E-03 2.96598E-02 1.87668E-02 0.024072 7 4 30.0 45.0 135.0 5.94277E-02 2.85130E-02 1.44877E-03 2.99617E-02 1.88617E-02 0.024379 7 7 30.0 90.0 90.0 8.66965E-02 2.87847E-02 2.46077E-03 3.12455E-02 1.90415E-02 0.028384 6 1 40.0 0.0 180.0 5.08826E-02 2.87682E-02 1.43480E-03 3.02030E-02 1.90306E-02 0.028198 6 4 40.0 45.0 135.0 5.56374E-02 2.89313E-02 1.55613E-03 3.04875E-02 1.91385E-02 0.027969 6 7 40.0 90.0 90.0 7.81140E-02 2.93936E-02 2.25191E-03 3.16456E-02 1.94443E-02 0.028829 5 1 50.0 0.0 180.0 5.33487E-02 2.93170E-02 2.26650E-03 3.15835E-02 1.93936E-02 0.042485 5 4 50.0 45.0 135.0 5.68502E-02 2.93613E-02 2.36127E-03 3.17226E-02 1.94229E-02 0.041535 5 7 50.0 90.0 90.0 7.55680E-02 2.99801E-02 3.05267E-03 3.30328E-02 1.98323E-02 0.040396 4 1 60.0 0.0 180.0 6.33257E-02 2.90586E-02 5.27988E-03 3.43385E-02 1.92227E-02 0.083377 4 4 60.0 45.0 135.0 6.47589E-02 2.90912E-02 5.21379E-03 3.43050E-02 1.92442E-02 0.080511 4 7 60.0 90.0 90.0 7.99687E-02 3.01547E-02 6.08852E-03 3.62432E-02 1.99477E-02 0.076136 3 1 70.0 0.0 180.0 8.78649E-02 2.70737E-02 1.45844E-02 4.16581E-02 1.79096E-02 0.165987 3 4 70.0 45.0 135.0 8.53918E-02 2.74081E-02 1.40329E-02 4.14410E-02 1.81308E-02 0.164336 3 7 70.0 90.0 90.0 9.54660E-02 2.84564E-02 1.52602E-02 4.37166E-02 1.88243E-02 0.159849 2 1 80.0 0.0 180.0 1.49284E-01 2.32382E-02 3.62526E-02 5.94908E-02 1.53724E-02 0.242843 2 4 80.0 45.0 135.0 1.38234E-01 2.34697E-02 3.50637E-02 5.85334E-02 1.55255E-02 0.253655 2 7 80.0 90.0 90.0 1.37336E-01 2.43949E-02 3.67213E-02 6.11162E-02 1.61376E-02 0.267382 1 1 87.5 0.0 180.0 2.41364E-01 1.86999E-02 6.39364E-02 8.26363E-02 1.23703E-02 0.264896 1 4 87.5 45.0 135.0 2.17319E-01 1.79777E-02 6.35417E-02 8.15193E-02 1.18925E-02 0.292389 1 7 87.5 90.0 90.0 1.97712E-01 2.06652E-02 6.50307E-02 8.56959E-02 1.36703E-02 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 3.602E-02 1.276E-01 1.620E-01 1.417E-01 2.088E-01 2.382E-02 3.987E+00 2.748E-02 1.818E-02 1 0.00 0.00 5.096E-02 2.383E-01 8.793E-02 1.010E-01 1.274E-01 3.240E-02 4.020E+00 3 20.82 5.00 2.117E-03 3.304E-02 6.496E-03 6.707E-03 6.954E-03 3.385E-02 4.612E+00 5 41.65 10.00 6.981E-05 1.077E-03 2.218E-04 2.222E-04 2.225E-04 3.385E-02 4.616E+00 7 62.47 15.00 2.298E-06 3.545E-05 7.314E-06 7.314E-06 7.315E-06 3.385E-02 4.616E+00 9 83.30 20.00 7.568E-08 1.167E-06 2.408E-07 2.408E-07 2.408E-07 3.386E-02 4.615E+00 Waveband 13 of 40 completed in 18.0 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 25.9 m at 485.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 480.0 nm to 490.0 nm: Ed(diffuse) = 4.491E-01 Ed(direct) = 1.015E+00 Ed(total) = 1.464E+00 Absorption Coefficients of Individual Components at 485.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0136 0.0462 0.0064 0.2064 0.2726 3 20.390 5.000 0.0136 0.0462 0.0064 0.2064 0.2726 5 40.779 10.000 0.0136 0.0462 0.0064 0.2064 0.2726 7 61.169 15.000 0.0136 0.0462 0.0064 0.2064 0.2726 9 81.559 20.000 0.0136 0.0462 0.0064 0.2064 0.2726 Scattering Coefficients of Individual Components at 485.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0033 0.5539 0.0000 3.2482 3.8054 3 20.390 5.000 0.0033 0.5539 0.0000 3.2482 3.8054 5 40.779 10.000 0.0033 0.5539 0.0000 3.2482 3.8054 7 61.169 15.000 0.0033 0.5539 0.0000 3.2482 3.8054 9 81.559 20.000 0.0033 0.5539 0.0000 3.2482 3.8054 Backscattering Coefficients of Individual Components at 485.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00165 0.00554 0.00000 0.09745 0.10463 3 20.390 5.000 0.00165 0.00554 0.00000 0.09745 0.10463 5 40.779 10.000 0.00165 0.00554 0.00000 0.09745 0.10463 7 61.169 15.000 0.00165 0.00554 0.00000 0.09745 0.10463 9 81.559 20.000 0.00165 0.00554 0.00000 0.09745 0.10463 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 0.2726 3.8054 4.0779 0.9332 0.10463 0.02750 3 20.390 5.000 0.2726 3.8054 4.0779 0.9332 0.10463 0.02750 5 40.779 10.000 0.2726 3.8054 4.0779 0.9332 0.10463 0.02750 7 61.169 15.000 0.2726 3.8054 4.0779 0.9332 0.10463 0.02750 9 81.559 20.000 0.2726 3.8054 4.0779 0.9332 0.10463 0.02750 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.7115E-01 8 20.00 8.9820E-01 7 30.00 7.9250E-01 6 40.00 6.7116E-01 5 50.00 5.4984E-01 4 60.00 4.3976E-01 3 70.00 3.4682E-01 2 80.00 2.7294E-01 1 87.50 2.2776E-01 1 92.50 2.0011E-01 2 100.00 1.6895E-01 3 110.00 1.3762E-01 4 120.00 1.1443E-01 5 130.00 9.7699E-02 6 140.00 8.5841E-02 7 150.00 7.7675E-02 8 160.00 7.2366E-02 9 170.00 6.9375E-02 10 180.00 6.8303E-02 Asymptotic AOP values are MUu(inf) = 0.4082 MUd(inf) = 0.6234 MU(inf) = 0.4187 R(inf) = 0.1621 Lu(inf)/Ed(inf) = 0.035277 (1/sr) k(inf) = 0.6510 (1/m) absorp(check) = 0.2726 = 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 3.2724E-01 2.0794E+00 2.4066E+00 1.4291E-01 1.4641E+00 0.4367 0.7041 0.5490 9.7608E-02 1 0.00 0.00 4.6414E-01 1.9484E+00 2.4125E+00 2.0720E-01 1.5283E+00 0.4464 0.7844 0.5476 1.3557E-01 3 20.39 5.00 2.8216E-02 1.1390E-01 1.4212E-01 1.1527E-02 7.1108E-02 0.4085 0.6243 0.4192 1.6210E-01 5 40.78 10.00 1.0928E-03 4.4120E-03 5.5049E-03 4.4618E-04 2.7501E-03 0.4083 0.6233 0.4185 1.6224E-01 7 61.17 15.00 4.2176E-05 1.7031E-04 2.1249E-04 1.7219E-05 1.0616E-04 0.4083 0.6233 0.4186 1.6220E-01 9 81.56 20.00 1.6275E-06 6.5728E-06 8.2003E-06 6.6445E-07 4.0970E-06 0.4083 0.6233 0.4186 1.6218E-01 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 0.27462 0.37862 0.35860 0.28802 0.46890 0.49730 0.41840 5.000 5.010 5.005 0.64773 0.64786 0.64783 0.64827 0.64933 0.64953 0.64916 10.000 10.010 10.005 0.65088 0.65083 0.65084 0.65090 0.65085 0.65084 0.65093 15.000 15.010 15.005 0.65094 0.65091 0.65092 0.65095 0.65091 0.65091 0.65096 20.000 20.010 20.005 0.65095 0.65096 0.65095 0.65093 0.65094 0.65095 0.65087 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 2.78949E-02 8.25403E-03 3.61490E-02 1.90527E-02 0.068111 9 1 10.0 0.0 180.0 7.47760E-02 2.81153E-02 2.58514E-03 3.07004E-02 1.92031E-02 0.034572 9 4 10.0 45.0 135.0 8.21586E-02 2.80786E-02 2.98536E-03 3.10639E-02 1.91781E-02 0.036337 9 7 10.0 90.0 90.0 1.11003E-01 2.82179E-02 6.03602E-03 3.42539E-02 1.92732E-02 0.054377 8 1 20.0 0.0 180.0 5.87355E-02 2.83486E-02 1.42909E-03 2.97776E-02 1.93625E-02 0.024331 8 4 20.0 45.0 135.0 6.53884E-02 2.82027E-02 1.67654E-03 2.98793E-02 1.92629E-02 0.025640 8 7 20.0 90.0 90.0 9.61506E-02 2.84974E-02 3.64169E-03 3.21391E-02 1.94641E-02 0.037875 7 1 30.0 0.0 180.0 5.09268E-02 2.87820E-02 1.22593E-03 3.00080E-02 1.96586E-02 0.024072 7 4 30.0 45.0 135.0 5.64580E-02 2.89316E-02 1.37647E-03 3.03081E-02 1.97607E-02 0.024380 7 7 30.0 90.0 90.0 8.23585E-02 2.92145E-02 2.34436E-03 3.15588E-02 1.99539E-02 0.028465 6 1 40.0 0.0 180.0 4.83392E-02 2.91766E-02 1.36308E-03 3.05396E-02 1.99280E-02 0.028198 6 4 40.0 45.0 135.0 5.28563E-02 2.93469E-02 1.47835E-03 3.08252E-02 2.00444E-02 0.027969 6 7 40.0 90.0 90.0 7.42095E-02 2.98234E-02 2.13978E-03 3.19632E-02 2.03699E-02 0.028834 5 1 50.0 0.0 180.0 5.06821E-02 2.97225E-02 2.15321E-03 3.18757E-02 2.03009E-02 0.042485 5 4 50.0 45.0 135.0 5.40086E-02 2.97725E-02 2.24325E-03 3.20157E-02 2.03350E-02 0.041535 5 7 50.0 90.0 90.0 7.17908E-02 3.04064E-02 2.90008E-03 3.33065E-02 2.07680E-02 0.040396 4 1 60.0 0.0 180.0 6.01604E-02 2.94491E-02 5.01597E-03 3.44651E-02 2.01142E-02 0.083377 4 4 60.0 45.0 135.0 6.15219E-02 2.94872E-02 4.95318E-03 3.44403E-02 2.01402E-02 0.080511 4 7 60.0 90.0 90.0 7.59715E-02 3.05697E-02 5.78419E-03 3.63539E-02 2.08795E-02 0.076136 3 1 70.0 0.0 180.0 8.34730E-02 2.74241E-02 1.38554E-02 4.12795E-02 1.87311E-02 0.165987 3 4 70.0 45.0 135.0 8.11235E-02 2.77670E-02 1.33315E-02 4.10985E-02 1.89653E-02 0.164336 3 7 70.0 90.0 90.0 9.06942E-02 2.88301E-02 1.44974E-02 4.33275E-02 1.96914E-02 0.159849 2 1 80.0 0.0 180.0 1.41822E-01 2.35277E-02 3.44405E-02 5.79682E-02 1.60698E-02 0.242843 2 4 80.0 45.0 135.0 1.31324E-01 2.37649E-02 3.33111E-02 5.70760E-02 1.62318E-02 0.253655 2 7 80.0 90.0 90.0 1.30472E-01 2.47001E-02 3.48858E-02 5.95859E-02 1.68706E-02 0.267382 1 1 87.5 0.0 180.0 2.29300E-01 1.89231E-02 6.07406E-02 7.96636E-02 1.29247E-02 0.264896 1 4 87.5 45.0 135.0 2.06456E-01 1.81940E-02 6.03656E-02 7.85596E-02 1.24268E-02 0.292389 1 7 87.5 90.0 90.0 1.87830E-01 2.09096E-02 6.17802E-02 8.26898E-02 1.42816E-02 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 3.615E-02 1.212E-01 1.545E-01 1.353E-01 1.990E-01 2.469E-02 3.953E+00 2.789E-02 1.905E-02 1 0.00 0.00 5.173E-02 2.265E-01 8.863E-02 1.016E-01 1.278E-01 3.385E-02 4.005E+00 3 20.39 5.00 2.512E-03 3.720E-02 7.570E-03 7.825E-03 8.125E-03 3.532E-02 4.590E+00 5 40.78 10.00 9.711E-05 1.420E-03 3.034E-04 3.040E-04 3.046E-04 3.531E-02 4.594E+00 7 61.17 15.00 3.748E-06 5.482E-05 1.173E-05 1.173E-05 1.173E-05 3.530E-02 4.595E+00 9 81.56 20.00 1.446E-07 2.116E-06 4.528E-07 4.528E-07 4.528E-07 3.530E-02 4.595E+00 Waveband 14 of 40 completed in 17.6 sec. * * * * * Output for wavelength band 15 (490.0 to 500.0 nm; nominal wavelength = 495.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 25.9 m at 495.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 490.0 nm to 500.0 nm: Ed(diffuse) = 4.478E-01 Ed(direct) = 1.039E+00 Ed(total) = 1.487E+00 Absorption Coefficients of Individual Components at 495.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0173 0.0426 0.0056 0.1903 0.2557 3 19.980 5.000 0.0173 0.0426 0.0056 0.1903 0.2557 5 39.959 10.000 0.0173 0.0426 0.0056 0.1903 0.2557 7 59.939 15.000 0.0173 0.0426 0.0056 0.1903 0.2557 9 79.919 20.000 0.0173 0.0426 0.0056 0.1903 0.2557 Scattering Coefficients of Individual Components at 495.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0030 0.5427 0.0000 3.1945 3.7402 3 19.980 5.000 0.0030 0.5427 0.0000 3.1945 3.7402 5 39.959 10.000 0.0030 0.5427 0.0000 3.1945 3.7402 7 59.939 15.000 0.0030 0.5427 0.0000 3.1945 3.7402 9 79.919 20.000 0.0030 0.5427 0.0000 3.1945 3.7402 Backscattering Coefficients of Individual Components at 495.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00151 0.00543 0.00000 0.09584 0.10277 3 19.980 5.000 0.00151 0.00543 0.00000 0.09584 0.10277 5 39.959 10.000 0.00151 0.00543 0.00000 0.09584 0.10277 7 59.939 15.000 0.00151 0.00543 0.00000 0.09584 0.10277 9 79.919 20.000 0.00151 0.00543 0.00000 0.09584 0.10277 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 0.2557 3.7402 3.9959 0.9360 0.10277 0.02748 3 19.980 5.000 0.2557 3.7402 3.9959 0.9360 0.10277 0.02748 5 39.959 10.000 0.2557 3.7402 3.9959 0.9360 0.10277 0.02748 7 59.939 15.000 0.2557 3.7402 3.9959 0.9360 0.10277 0.02748 9 79.919 20.000 0.2557 3.7402 3.9959 0.9360 0.10277 0.02748 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.7190E-01 8 20.00 9.0072E-01 7 30.00 7.9729E-01 6 40.00 6.7804E-01 5 50.00 5.5818E-01 4 60.00 4.4878E-01 3 70.00 3.5582E-01 2 80.00 2.8146E-01 1 87.50 2.3572E-01 1 92.50 2.0761E-01 2 100.00 1.7582E-01 3 110.00 1.4372E-01 4 120.00 1.1984E-01 5 130.00 1.0254E-01 6 140.00 9.0230E-02 7 150.00 8.1729E-02 8 160.00 7.6191E-02 9 170.00 7.3066E-02 10 180.00 7.1944E-02 Asymptotic AOP values are MUu(inf) = 0.4095 MUd(inf) = 0.6206 MU(inf) = 0.4115 R(inf) = 0.1681 Lu(inf)/Ed(inf) = 0.036765 (1/sr) k(inf) = 0.6216 (1/m) absorp(check) = 0.2558 = 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 3.3837E-01 2.1044E+00 2.4428E+00 1.4905E-01 1.4866E+00 0.4405 0.7064 0.5476 1.0026E-01 1 0.00 0.00 4.9043E-01 1.9929E+00 2.4834E+00 2.1941E-01 1.5569E+00 0.4474 0.7812 0.5386 1.4092E-01 3 19.98 5.00 3.4341E-02 1.3471E-01 1.6905E-01 1.4074E-02 8.3743E-02 0.4098 0.6217 0.4121 1.6807E-01 5 39.96 10.00 1.5410E-03 6.0455E-03 7.5865E-03 6.3116E-04 3.7519E-03 0.4096 0.6206 0.4114 1.6823E-01 7 59.94 15.00 6.8894E-05 2.7032E-04 3.3921E-04 2.8216E-05 1.6776E-04 0.4096 0.6206 0.4114 1.6819E-01 9 79.92 20.00 3.0795E-06 1.2085E-05 1.5164E-05 1.2612E-06 7.4999E-06 0.4095 0.6206 0.4114 1.6816E-01 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 0.26741 0.37001 0.34974 0.27451 0.44622 0.47442 0.39789 5.000 5.010 5.005 0.61816 0.61827 0.61825 0.61873 0.61985 0.62007 0.61968 10.000 10.010 10.005 0.62149 0.62144 0.62145 0.62150 0.62146 0.62145 0.62152 15.000 15.010 15.005 0.62155 0.62152 0.62153 0.62155 0.62152 0.62151 0.62155 20.000 20.010 20.005 0.62159 0.62154 0.62155 0.62161 0.62154 0.62153 0.62167 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 2.96421E-02 8.36643E-03 3.80085E-02 1.99393E-02 0.069236 9 1 10.0 0.0 180.0 7.45626E-02 2.98700E-02 2.59601E-03 3.24660E-02 2.00926E-02 0.034817 9 4 10.0 45.0 135.0 8.19242E-02 2.98326E-02 3.00032E-03 3.28330E-02 2.00675E-02 0.036623 9 7 10.0 90.0 90.0 1.10686E-01 2.99840E-02 6.10292E-03 3.60869E-02 2.01693E-02 0.055137 8 1 20.0 0.0 180.0 5.85679E-02 3.01119E-02 1.42594E-03 3.15378E-02 2.02553E-02 0.024347 8 4 20.0 45.0 135.0 6.52019E-02 2.99597E-02 1.67414E-03 3.16339E-02 2.01530E-02 0.025676 8 7 20.0 90.0 90.0 9.58762E-02 3.02779E-02 3.66329E-03 3.39412E-02 2.03670E-02 0.038209 7 1 30.0 0.0 180.0 5.07815E-02 3.05655E-02 1.22243E-03 3.17879E-02 2.05605E-02 0.024072 7 4 30.0 45.0 135.0 5.62976E-02 3.07282E-02 1.37266E-03 3.21008E-02 2.06699E-02 0.024382 7 7 30.0 90.0 90.0 8.21193E-02 3.10351E-02 2.34396E-03 3.33790E-02 2.08763E-02 0.028543 6 1 40.0 0.0 180.0 4.82013E-02 3.09739E-02 1.35919E-03 3.23331E-02 2.08352E-02 0.028198 6 4 40.0 45.0 135.0 5.27055E-02 3.11593E-02 1.47413E-03 3.26335E-02 2.09599E-02 0.027969 6 7 40.0 90.0 90.0 7.39977E-02 3.16722E-02 2.13408E-03 3.38063E-02 2.13049E-02 0.028840 5 1 50.0 0.0 180.0 5.05375E-02 3.15423E-02 2.14706E-03 3.36893E-02 2.12175E-02 0.042485 5 4 50.0 45.0 135.0 5.38545E-02 3.16001E-02 2.23684E-03 3.38370E-02 2.12564E-02 0.041535 5 7 50.0 90.0 90.0 7.15860E-02 3.22784E-02 2.89181E-03 3.51702E-02 2.17127E-02 0.040396 4 1 60.0 0.0 180.0 5.99887E-02 3.12403E-02 5.00165E-03 3.62419E-02 2.10143E-02 0.083377 4 4 60.0 45.0 135.0 6.13464E-02 3.12853E-02 4.93904E-03 3.62244E-02 2.10447E-02 0.080511 4 7 60.0 90.0 90.0 7.57547E-02 3.24373E-02 5.76768E-03 3.82050E-02 2.18196E-02 0.076136 3 1 70.0 0.0 180.0 8.32348E-02 2.90782E-02 1.38159E-02 4.28941E-02 1.95600E-02 0.165987 3 4 70.0 45.0 135.0 8.08921E-02 2.94457E-02 1.32935E-02 4.27391E-02 1.98072E-02 0.164336 3 7 70.0 90.0 90.0 9.04354E-02 3.05728E-02 1.44560E-02 4.50288E-02 2.05654E-02 0.159849 2 1 80.0 0.0 180.0 1.41417E-01 2.49351E-02 3.43422E-02 5.92774E-02 1.67731E-02 0.242843 2 4 80.0 45.0 135.0 1.30950E-01 2.51891E-02 3.32161E-02 5.84052E-02 1.69439E-02 0.253655 2 7 80.0 90.0 90.0 1.30099E-01 2.61776E-02 3.47862E-02 6.09639E-02 1.76089E-02 0.267382 1 1 87.5 0.0 180.0 2.28646E-01 2.00450E-02 6.05673E-02 8.06123E-02 1.34837E-02 0.264896 1 4 87.5 45.0 135.0 2.05867E-01 1.92743E-02 6.01933E-02 7.94676E-02 1.29652E-02 0.292389 1 7 87.5 90.0 90.0 1.87294E-01 2.21458E-02 6.16039E-02 8.37497E-02 1.48968E-02 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 3.801E-02 1.208E-01 1.546E-01 1.355E-01 1.992E-01 2.557E-02 3.921E+00 2.964E-02 1.994E-02 1 0.00 0.00 5.497E-02 2.259E-01 9.354E-02 1.071E-01 1.342E-01 3.531E-02 3.991E+00 3 19.98 5.00 3.081E-03 4.340E-02 9.125E-03 9.442E-03 9.818E-03 3.680E-02 4.567E+00 5 39.96 10.00 1.380E-04 1.917E-03 4.243E-04 4.251E-04 4.260E-04 3.679E-02 4.573E+00 7 59.94 15.00 6.170E-06 8.573E-05 1.901E-05 1.901E-05 1.901E-05 3.678E-02 4.573E+00 9 79.92 20.00 2.758E-07 3.833E-06 8.497E-07 8.497E-07 8.497E-07 3.677E-02 4.573E+00 Waveband 15 of 40 completed in 17.3 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 25.9 m at 505.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 500.0 nm to 510.0 nm: Ed(diffuse) = 4.326E-01 Ed(direct) = 1.028E+00 Ed(total) = 1.460E+00 Absorption Coefficients of Individual Components at 505.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0256 0.0384 0.0048 0.1715 0.2404 3 19.606 5.000 0.0256 0.0384 0.0048 0.1715 0.2404 5 39.213 10.000 0.0256 0.0384 0.0048 0.1715 0.2404 7 58.819 15.000 0.0256 0.0384 0.0048 0.1715 0.2404 9 78.426 20.000 0.0256 0.0384 0.0048 0.1715 0.2404 Scattering Coefficients of Individual Components at 505.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0028 0.5319 0.0000 3.1462 3.6809 3 19.606 5.000 0.0028 0.5319 0.0000 3.1462 3.6809 5 39.213 10.000 0.0028 0.5319 0.0000 3.1462 3.6809 7 58.819 15.000 0.0028 0.5319 0.0000 3.1462 3.6809 9 78.426 20.000 0.0028 0.5319 0.0000 3.1462 3.6809 Backscattering Coefficients of Individual Components at 505.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00138 0.00532 0.00000 0.09439 0.10109 3 19.606 5.000 0.00138 0.00532 0.00000 0.09439 0.10109 5 39.213 10.000 0.00138 0.00532 0.00000 0.09439 0.10109 7 58.819 15.000 0.00138 0.00532 0.00000 0.09439 0.10109 9 78.426 20.000 0.00138 0.00532 0.00000 0.09439 0.10109 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 0.2404 3.6809 3.9213 0.9387 0.10109 0.02746 3 19.606 5.000 0.2404 3.6809 3.9213 0.9387 0.10109 0.02746 5 39.213 10.000 0.2404 3.6809 3.9213 0.9387 0.10109 0.02746 7 58.819 15.000 0.2404 3.6809 3.9213 0.9387 0.10109 0.02746 9 78.426 20.000 0.2404 3.6809 3.9213 0.9387 0.10109 0.02746 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.7262E-01 8 20.00 9.0317E-01 7 30.00 8.0194E-01 6 40.00 6.8475E-01 5 50.00 5.6637E-01 4 60.00 4.5769E-01 3 70.00 3.6478E-01 2 80.00 2.8999E-01 1 87.50 2.4373E-01 1 92.50 2.1518E-01 2 100.00 1.8279E-01 3 110.00 1.4993E-01 4 120.00 1.2537E-01 5 130.00 1.0750E-01 6 140.00 9.4748E-02 7 150.00 8.5912E-02 8 160.00 8.0142E-02 9 170.00 7.6882E-02 10 180.00 7.5711E-02 Asymptotic AOP values are MUu(inf) = 0.4109 MUd(inf) = 0.6180 MU(inf) = 0.4043 R(inf) = 0.1743 Lu(inf)/Ed(inf) = 0.038292 (1/sr) k(inf) = 0.5945 (1/m) absorp(check) = 0.2404 = 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 3.3885E-01 2.0611E+00 2.4000E+00 1.5048E-01 1.4605E+00 0.4441 0.7086 0.5458 1.0303E-01 1 0.00 0.00 5.0121E-01 1.9727E+00 2.4739E+00 2.2470E-01 1.5347E+00 0.4483 0.7780 0.5295 1.4642E-01 3 19.61 5.00 3.9943E-02 1.5233E-01 1.9227E-01 1.6423E-02 9.4310E-02 0.4112 0.6191 0.4051 1.7414E-01 5 39.21 10.00 2.0527E-03 7.8289E-03 9.8816E-03 8.4339E-04 4.8380E-03 0.4109 0.6180 0.4042 1.7433E-01 7 58.82 15.00 1.0507E-04 4.0078E-04 5.0585E-04 4.3168E-05 2.4767E-04 0.4109 0.6180 0.4043 1.7430E-01 9 78.43 20.00 5.3774E-06 2.0514E-05 2.5891E-05 2.2094E-06 1.2677E-05 0.4109 0.6180 0.4043 1.7428E-01 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 0.26118 0.36290 0.34228 0.26238 0.42547 0.45347 0.37921 5.000 5.010 5.005 0.59092 0.59102 0.59100 0.59153 0.59271 0.59296 0.59254 10.000 10.010 10.005 0.59442 0.59438 0.59438 0.59443 0.59439 0.59439 0.59445 15.000 15.010 15.005 0.59447 0.59445 0.59445 0.59447 0.59445 0.59445 0.59448 20.000 20.010 20.005 0.59447 0.59447 0.59447 0.59447 0.59447 0.59447 0.59446 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 3.04640E-02 8.20628E-03 3.86703E-02 2.08589E-02 0.070301 9 1 10.0 0.0 180.0 7.20279E-02 3.06923E-02 2.52445E-03 3.32168E-02 2.10153E-02 0.035048 9 4 10.0 45.0 135.0 7.91393E-02 3.06554E-02 2.91979E-03 3.35752E-02 2.09900E-02 0.036894 9 7 10.0 90.0 90.0 1.06924E-01 3.08140E-02 5.97233E-03 3.67863E-02 2.10985E-02 0.055856 8 1 20.0 0.0 180.0 5.65770E-02 3.09349E-02 1.37831E-03 3.23132E-02 2.11813E-02 0.024362 8 4 20.0 45.0 135.0 6.29854E-02 3.07810E-02 1.61942E-03 3.24004E-02 2.10760E-02 0.025711 8 7 20.0 90.0 90.0 9.26170E-02 3.11126E-02 3.56800E-03 3.46806E-02 2.13030E-02 0.038524 7 1 30.0 0.0 180.0 4.90553E-02 3.13939E-02 1.18088E-03 3.25748E-02 2.14956E-02 0.024072 7 4 30.0 45.0 135.0 5.43844E-02 3.15645E-02 1.32610E-03 3.28906E-02 2.16124E-02 0.024384 7 7 30.0 90.0 90.0 7.93238E-02 3.18855E-02 2.27003E-03 3.41555E-02 2.18322E-02 0.028617 6 1 40.0 0.0 180.0 4.65627E-02 3.18025E-02 1.31299E-03 3.31155E-02 2.17754E-02 0.028198 6 4 40.0 45.0 135.0 5.09138E-02 3.19971E-02 1.42402E-03 3.34212E-02 2.19087E-02 0.027969 6 7 40.0 90.0 90.0 7.14822E-02 3.25296E-02 2.06191E-03 3.45915E-02 2.22732E-02 0.028845 5 1 50.0 0.0 180.0 4.88195E-02 3.23745E-02 2.07407E-03 3.44486E-02 2.21671E-02 0.042485 5 4 50.0 45.0 135.0 5.20237E-02 3.24383E-02 2.16080E-03 3.45991E-02 2.22107E-02 0.041535 5 7 50.0 90.0 90.0 6.91524E-02 3.31388E-02 2.79351E-03 3.59323E-02 2.26904E-02 0.040396 4 1 60.0 0.0 180.0 5.79495E-02 3.20523E-02 4.83163E-03 3.68840E-02 2.19465E-02 0.083377 4 4 60.0 45.0 135.0 5.92610E-02 3.21028E-02 4.77115E-03 3.68739E-02 2.19810E-02 0.080511 4 7 60.0 90.0 90.0 7.31795E-02 3.32869E-02 5.57162E-03 3.88585E-02 2.27917E-02 0.076136 3 1 70.0 0.0 180.0 8.04053E-02 2.98200E-02 1.33462E-02 4.31662E-02 2.04179E-02 0.165987 3 4 70.0 45.0 135.0 7.81422E-02 3.02002E-02 1.28416E-02 4.30417E-02 2.06783E-02 0.164336 3 7 70.0 90.0 90.0 8.73611E-02 3.13543E-02 1.39646E-02 4.53189E-02 2.14685E-02 0.159849 2 1 80.0 0.0 180.0 1.36610E-01 2.55595E-02 3.31748E-02 5.87342E-02 1.75007E-02 0.242843 2 4 80.0 45.0 135.0 1.26498E-01 2.58218E-02 3.20869E-02 5.79087E-02 1.76804E-02 0.253655 2 7 80.0 90.0 90.0 1.25677E-01 2.68310E-02 3.36037E-02 6.04347E-02 1.83713E-02 0.267382 1 1 87.5 0.0 180.0 2.20873E-01 2.05368E-02 5.85083E-02 7.90452E-02 1.40617E-02 0.264896 1 4 87.5 45.0 135.0 1.98869E-01 1.97483E-02 5.81471E-02 7.78954E-02 1.35218E-02 0.292389 1 7 87.5 90.0 90.0 1.80927E-01 2.26838E-02 5.95098E-02 8.21935E-02 1.55317E-02 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 3.867E-02 1.167E-01 1.500E-01 1.316E-01 1.931E-01 2.648E-02 3.891E+00 3.046E-02 2.086E-02 1 0.00 0.00 5.650E-02 2.183E-01 9.549E-02 1.092E-01 1.364E-01 3.681E-02 3.977E+00 3 19.61 5.00 3.614E-03 4.843E-02 1.051E-02 1.089E-02 1.134E-02 3.832E-02 4.545E+00 5 39.21 10.00 1.853E-04 2.447E-03 5.604E-04 5.616E-04 5.628E-04 3.831E-02 4.550E+00 7 58.82 15.00 9.486E-06 1.253E-04 2.874E-05 2.875E-05 2.875E-05 3.830E-02 4.551E+00 9 78.43 20.00 4.855E-07 6.412E-06 1.471E-06 1.471E-06 1.471E-06 3.830E-02 4.551E+00 Waveband 16 of 40 completed in 17.0 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 25.9 m at 515.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 510.0 nm to 520.0 nm: Ed(diffuse) = 4.102E-01 Ed(direct) = 9.960E-01 Ed(total) = 1.406E+00 Absorption Coefficients of Individual Components at 515.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0396 0.0348 0.0042 0.1554 0.2340 3 19.280 5.000 0.0396 0.0348 0.0042 0.1554 0.2340 5 38.561 10.000 0.0396 0.0348 0.0042 0.1554 0.2340 7 57.841 15.000 0.0396 0.0348 0.0042 0.1554 0.2340 9 77.122 20.000 0.0396 0.0348 0.0042 0.1554 0.2340 Scattering Coefficients of Individual Components at 515.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0025 0.5216 0.0000 3.0979 3.6220 3 19.280 5.000 0.0025 0.5216 0.0000 3.0979 3.6220 5 38.561 10.000 0.0025 0.5216 0.0000 3.0979 3.6220 7 57.841 15.000 0.0025 0.5216 0.0000 3.0979 3.6220 9 77.122 20.000 0.0025 0.5216 0.0000 3.0979 3.6220 Backscattering Coefficients of Individual Components at 515.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00127 0.00522 0.00000 0.09294 0.09942 3 19.280 5.000 0.00127 0.00522 0.00000 0.09294 0.09942 5 38.561 10.000 0.00127 0.00522 0.00000 0.09294 0.09942 7 57.841 15.000 0.00127 0.00522 0.00000 0.09294 0.09942 9 77.122 20.000 0.00127 0.00522 0.00000 0.09294 0.09942 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 0.2340 3.6220 3.8561 0.9393 0.09942 0.02745 3 19.280 5.000 0.2340 3.6220 3.8561 0.9393 0.09942 0.02745 5 38.561 10.000 0.2340 3.6220 3.8561 0.9393 0.09942 0.02745 7 57.841 15.000 0.2340 3.6220 3.8561 0.9393 0.09942 0.02745 9 77.122 20.000 0.2340 3.6220 3.8561 0.9393 0.09942 0.02745 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.7278E-01 8 20.00 9.0372E-01 7 30.00 8.0300E-01 6 40.00 6.8629E-01 5 50.00 5.6824E-01 4 60.00 4.5973E-01 3 70.00 3.6684E-01 2 80.00 2.9196E-01 1 87.50 2.4558E-01 1 92.50 2.1693E-01 2 100.00 1.8439E-01 3 110.00 1.5136E-01 4 120.00 1.2665E-01 5 130.00 1.0865E-01 6 140.00 9.5788E-02 7 150.00 8.6874E-02 8 160.00 8.1050E-02 9 170.00 7.7758E-02 10 180.00 7.6576E-02 Asymptotic AOP values are MUu(inf) = 0.4111 MUd(inf) = 0.6174 MU(inf) = 0.4027 R(inf) = 0.1757 Lu(inf)/Ed(inf) = 0.038639 (1/sr) k(inf) = 0.5812 (1/m) absorp(check) = 0.2341 = 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 3.2657E-01 1.9792E+00 2.3058E+00 1.4560E-01 1.4062E+00 0.4459 0.7105 0.5467 1.0354E-01 1 0.00 0.00 4.8677E-01 1.9023E+00 2.3891E+00 2.1836E-01 1.4790E+00 0.4486 0.7775 0.5277 1.4764E-01 3 19.28 5.00 4.1424E-02 1.5699E-01 1.9841E-01 1.7045E-02 9.7113E-02 0.4115 0.6186 0.4035 1.7552E-01 5 38.56 10.00 2.2757E-03 8.6254E-03 1.0901E-02 9.3570E-04 5.3250E-03 0.4112 0.6174 0.4026 1.7572E-01 7 57.84 15.00 1.2449E-04 4.7191E-04 5.9641E-04 5.1186E-05 2.9134E-04 0.4111 0.6174 0.4027 1.7569E-01 9 77.12 20.00 6.8099E-06 2.5815E-05 3.2625E-05 2.7998E-06 1.5938E-05 0.4111 0.6174 0.4027 1.7568E-01 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 0.25656 0.35722 0.33670 0.25623 0.41546 0.44307 0.37016 5.000 5.010 5.005 0.57740 0.57749 0.57747 0.57806 0.57932 0.57958 0.57913 10.000 10.010 10.005 0.58112 0.58108 0.58109 0.58113 0.58109 0.58109 0.58115 15.000 15.010 15.005 0.58115 0.58112 0.58113 0.58117 0.58115 0.58115 0.58118 20.000 20.010 20.005 0.58118 0.58117 0.58118 0.58118 0.58117 0.58117 0.58117 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 2.96309E-02 7.89040E-03 3.75213E-02 2.10709E-02 0.071277 9 1 10.0 0.0 180.0 6.83067E-02 2.98509E-02 2.40853E-03 3.22595E-02 2.12273E-02 0.035261 9 4 10.0 45.0 135.0 7.50506E-02 2.98155E-02 2.78762E-03 3.26031E-02 2.12021E-02 0.037143 9 7 10.0 90.0 90.0 1.01400E-01 2.99708E-02 5.73065E-03 3.57015E-02 2.13126E-02 0.056516 8 1 20.0 0.0 180.0 5.36540E-02 3.00848E-02 1.30784E-03 3.13927E-02 2.13937E-02 0.024375 8 4 20.0 45.0 135.0 5.97313E-02 2.99360E-02 1.53765E-03 3.14737E-02 2.12878E-02 0.025743 8 7 20.0 90.0 90.0 8.78321E-02 3.02602E-02 3.40910E-03 3.36693E-02 2.15184E-02 0.038814 7 1 30.0 0.0 180.0 4.65209E-02 3.05290E-02 1.11987E-03 3.16489E-02 2.17095E-02 0.024072 7 4 30.0 45.0 135.0 5.15753E-02 3.06959E-02 1.25768E-03 3.19536E-02 2.18282E-02 0.024385 7 7 30.0 90.0 90.0 7.52222E-02 3.10105E-02 2.15775E-03 3.31682E-02 2.20519E-02 0.028685 6 1 40.0 0.0 180.0 4.41571E-02 3.09227E-02 1.24515E-03 3.21678E-02 2.19895E-02 0.028198 6 4 40.0 45.0 135.0 4.82834E-02 3.11133E-02 1.35045E-03 3.24638E-02 2.21251E-02 0.027969 6 7 40.0 90.0 90.0 6.77892E-02 3.16339E-02 1.95571E-03 3.35896E-02 2.24952E-02 0.028850 5 1 50.0 0.0 180.0 4.62973E-02 3.14751E-02 1.96692E-03 3.34420E-02 2.23823E-02 0.042485 5 4 50.0 45.0 135.0 4.93360E-02 3.15386E-02 2.04917E-03 3.35878E-02 2.24275E-02 0.041535 5 7 50.0 90.0 90.0 6.55798E-02 3.22226E-02 2.64918E-03 3.48718E-02 2.29139E-02 0.040396 4 1 60.0 0.0 180.0 5.49556E-02 3.11579E-02 4.58201E-03 3.57399E-02 2.21567E-02 0.083377 4 4 60.0 45.0 135.0 5.61993E-02 3.12085E-02 4.52465E-03 3.57331E-02 2.21927E-02 0.080511 4 7 60.0 90.0 90.0 6.93988E-02 3.23625E-02 5.28376E-03 3.76463E-02 2.30133E-02 0.076136 3 1 70.0 0.0 180.0 7.62513E-02 2.89832E-02 1.26567E-02 4.16399E-02 2.06103E-02 0.165987 3 4 70.0 45.0 135.0 7.41051E-02 2.93542E-02 1.21781E-02 4.15323E-02 2.08741E-02 0.164336 3 7 70.0 90.0 90.0 8.28477E-02 3.04785E-02 1.32431E-02 4.37216E-02 2.16736E-02 0.159849 2 1 80.0 0.0 180.0 1.29552E-01 2.48384E-02 3.14609E-02 5.62993E-02 1.76629E-02 0.242843 2 4 80.0 45.0 135.0 1.19963E-01 2.50946E-02 3.04292E-02 5.55237E-02 1.78450E-02 0.253655 2 7 80.0 90.0 90.0 1.19184E-01 2.60772E-02 3.18676E-02 5.79448E-02 1.85438E-02 0.267382 1 1 87.5 0.0 180.0 2.09462E-01 1.99542E-02 5.54856E-02 7.54398E-02 1.41897E-02 0.264896 1 4 87.5 45.0 135.0 1.88595E-01 1.91890E-02 5.51430E-02 7.43320E-02 1.36455E-02 0.292389 1 7 87.5 90.0 90.0 1.71580E-01 2.20426E-02 5.64353E-02 7.84778E-02 1.56747E-02 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 3.752E-02 1.107E-01 1.425E-01 1.250E-01 1.834E-01 2.668E-02 3.881E+00 2.963E-02 2.107E-02 1 0.00 0.00 5.495E-02 2.070E-01 9.267E-02 1.059E-01 1.323E-01 3.716E-02 3.974E+00 3 19.28 5.00 3.754E-03 4.981E-02 1.086E-02 1.127E-02 1.175E-02 3.866E-02 4.540E+00 5 38.56 10.00 2.058E-04 2.687E-03 6.200E-04 6.215E-04 6.229E-04 3.866E-02 4.546E+00 7 57.84 15.00 1.126E-05 1.470E-04 3.399E-05 3.400E-05 3.400E-05 3.865E-02 4.546E+00 9 77.12 20.00 6.159E-07 8.042E-06 1.860E-06 1.860E-06 1.860E-06 3.864E-02 4.546E+00 Waveband 17 of 40 completed in 16.7 sec. * * * * * Output for wavelength band 18 (520.0 to 530.0 nm; nominal wavelength = 525.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 25.9 m at 525.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 520.0 nm to 530.0 nm: Ed(diffuse) = 4.132E-01 Ed(direct) = 1.024E+00 Ed(total) = 1.437E+00 Absorption Coefficients of Individual Components at 525.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0417 0.0300 0.0037 0.1340 0.2094 3 18.904 5.000 0.0417 0.0300 0.0037 0.1340 0.2094 5 37.807 10.000 0.0417 0.0300 0.0037 0.1340 0.2094 7 56.711 15.000 0.0417 0.0300 0.0037 0.1340 0.2094 9 75.615 20.000 0.0417 0.0300 0.0037 0.1340 0.2094 Scattering Coefficients of Individual Components at 525.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0023 0.5117 0.0000 3.0574 3.5714 3 18.904 5.000 0.0023 0.5117 0.0000 3.0574 3.5714 5 37.807 10.000 0.0023 0.5117 0.0000 3.0574 3.5714 7 56.711 15.000 0.0023 0.5117 0.0000 3.0574 3.5714 9 75.615 20.000 0.0023 0.5117 0.0000 3.0574 3.5714 Backscattering Coefficients of Individual Components at 525.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00117 0.00512 0.00000 0.09172 0.09801 3 18.904 5.000 0.00117 0.00512 0.00000 0.09172 0.09801 5 37.807 10.000 0.00117 0.00512 0.00000 0.09172 0.09801 7 56.711 15.000 0.00117 0.00512 0.00000 0.09172 0.09801 9 75.615 20.000 0.00117 0.00512 0.00000 0.09172 0.09801 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 0.2094 3.5714 3.7807 0.9446 0.09801 0.02744 3 18.904 5.000 0.2094 3.5714 3.7807 0.9446 0.09801 0.02744 5 37.807 10.000 0.2094 3.5714 3.7807 0.9446 0.09801 0.02744 7 56.711 15.000 0.2094 3.5714 3.7807 0.9446 0.09801 0.02744 9 75.615 20.000 0.2094 3.5714 3.7807 0.9446 0.09801 0.02744 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.7423E-01 8 20.00 9.0864E-01 7 30.00 8.1243E-01 6 40.00 7.0002E-01 5 50.00 5.8516E-01 4 60.00 4.7834E-01 3 70.00 3.8575E-01 2 80.00 3.1017E-01 1 87.50 2.6283E-01 1 92.50 2.3333E-01 2 100.00 1.9959E-01 3 110.00 1.6504E-01 4 120.00 1.3892E-01 5 130.00 1.1974E-01 6 140.00 1.0593E-01 7 150.00 9.6304E-02 8 160.00 8.9984E-02 9 170.00 8.6400E-02 10 180.00 8.5111E-02 Asymptotic AOP values are MUu(inf) = 0.4140 MUd(inf) = 0.6120 MU(inf) = 0.3878 R(inf) = 0.1891 Lu(inf)/Ed(inf) = 0.042051 (1/sr) k(inf) = 0.5399 (1/m) absorp(check) = 0.2094 = 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 3.5056E-01 2.0178E+00 2.3684E+00 1.5824E-01 1.4373E+00 0.4514 0.7123 0.5401 1.1009E-01 1 0.00 0.00 5.4062E-01 1.9779E+00 2.5185E+00 2.4354E-01 1.5226E+00 0.4505 0.7698 0.5079 1.5995E-01 3 18.90 5.00 5.5769E-02 1.9942E-01 2.5519E-01 2.3106E-02 1.2230E-01 0.4143 0.6133 0.3887 1.8892E-01 5 37.81 10.00 3.7676E-03 1.3474E-02 1.7242E-02 1.5597E-03 8.2456E-03 0.4140 0.6119 0.3878 1.8916E-01 7 56.71 15.00 2.5341E-04 9.0641E-04 1.1598E-03 1.0491E-04 5.5466E-04 0.4140 0.6119 0.3878 1.8913E-01 9 75.61 20.00 1.7044E-05 6.0965E-05 7.8008E-05 7.0555E-06 3.7307E-05 0.4140 0.6119 0.3878 1.8912E-01 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 0.25043 0.35207 0.33025 0.23892 0.38401 0.41166 0.34208 5.000 5.010 5.005 0.53598 0.53603 0.53602 0.53666 0.53796 0.53826 0.53777 10.000 10.010 10.005 0.53979 0.53976 0.53976 0.53980 0.53978 0.53977 0.53983 15.000 15.010 15.005 0.53984 0.53983 0.53983 0.53985 0.53983 0.53983 0.53985 20.000 20.010 20.005 0.53985 0.53984 0.53984 0.53985 0.53984 0.53984 0.53984 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 3.32886E-02 8.05409E-03 4.13426E-02 2.31597E-02 0.072229 9 1 10.0 0.0 180.0 6.88052E-02 3.35250E-02 2.44035E-03 3.59653E-02 2.33242E-02 0.035468 9 4 10.0 45.0 135.0 7.55983E-02 3.34876E-02 2.82629E-03 3.63139E-02 2.32982E-02 0.037386 9 7 10.0 90.0 90.0 1.02140E-01 3.36668E-02 5.83812E-03 3.95049E-02 2.34229E-02 0.057158 8 1 20.0 0.0 180.0 5.40455E-02 3.37752E-02 1.31810E-03 3.50933E-02 2.34983E-02 0.024389 8 4 20.0 45.0 135.0 6.01672E-02 3.36125E-02 1.55074E-03 3.51632E-02 2.33851E-02 0.025774 8 7 20.0 90.0 90.0 8.84730E-02 3.39834E-02 3.45894E-03 3.74423E-02 2.36431E-02 0.039096 7 1 30.0 0.0 180.0 4.68604E-02 3.42591E-02 1.12804E-03 3.53872E-02 2.38350E-02 0.024072 7 4 30.0 45.0 135.0 5.19522E-02 3.44525E-02 1.26695E-03 3.57194E-02 2.39695E-02 0.024387 7 7 30.0 90.0 90.0 7.57678E-02 3.48135E-02 2.17841E-03 3.69919E-02 2.42206E-02 0.028751 6 1 40.0 0.0 180.0 4.44793E-02 3.46773E-02 1.25424E-03 3.59316E-02 2.41259E-02 0.028198 6 4 40.0 45.0 135.0 4.86358E-02 3.48983E-02 1.36030E-03 3.62586E-02 2.42797E-02 0.027969 6 7 40.0 90.0 90.0 6.82839E-02 3.54884E-02 1.97030E-03 3.74587E-02 2.46902E-02 0.028855 5 1 50.0 0.0 180.0 4.66351E-02 3.52720E-02 1.98127E-03 3.72533E-02 2.45397E-02 0.042485 5 4 50.0 45.0 135.0 4.96960E-02 3.53502E-02 2.06412E-03 3.74143E-02 2.45940E-02 0.041535 5 7 50.0 90.0 90.0 6.60583E-02 3.61178E-02 2.66852E-03 3.87863E-02 2.51281E-02 0.040396 4 1 60.0 0.0 180.0 5.53566E-02 3.48903E-02 4.61544E-03 3.95058E-02 2.42741E-02 0.083377 4 4 60.0 45.0 135.0 5.66094E-02 3.49531E-02 4.55767E-03 3.95108E-02 2.43178E-02 0.080511 4 7 60.0 90.0 90.0 6.99052E-02 3.62402E-02 5.32232E-03 4.15626E-02 2.52133E-02 0.076136 3 1 70.0 0.0 180.0 7.68077E-02 3.24253E-02 1.27491E-02 4.51744E-02 2.25591E-02 0.165987 3 4 70.0 45.0 135.0 7.46458E-02 3.28443E-02 1.22670E-02 4.51113E-02 2.28506E-02 0.164336 3 7 70.0 90.0 90.0 8.34523E-02 3.40876E-02 1.33398E-02 4.74274E-02 2.37156E-02 0.159849 2 1 80.0 0.0 180.0 1.30497E-01 2.77635E-02 3.16904E-02 5.94539E-02 1.93158E-02 0.242843 2 4 80.0 45.0 135.0 1.20838E-01 2.80511E-02 3.06512E-02 5.87023E-02 1.95159E-02 0.253655 2 7 80.0 90.0 90.0 1.20054E-01 2.91300E-02 3.21002E-02 6.12301E-02 2.02665E-02 0.267382 1 1 87.5 0.0 180.0 2.10990E-01 2.22832E-02 5.58905E-02 7.81737E-02 1.55030E-02 0.264896 1 4 87.5 45.0 135.0 1.89971E-01 2.14285E-02 5.55454E-02 7.69739E-02 1.49083E-02 0.292389 1 7 87.5 90.0 90.0 1.72832E-01 2.45909E-02 5.68471E-02 8.14380E-02 1.71085E-02 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 4.134E-02 1.115E-01 1.446E-01 1.271E-01 1.860E-01 2.876E-02 3.827E+00 3.329E-02 2.316E-02 1 0.00 0.00 6.174E-02 2.087E-01 1.028E-01 1.171E-01 1.450E-01 4.055E-02 3.945E+00 3 18.90 5.00 5.145E-03 6.150E-02 1.437E-02 1.490E-02 1.554E-02 4.207E-02 4.491E+00 5 37.81 10.00 3.468E-04 4.075E-03 1.008E-03 1.011E-03 1.013E-03 4.206E-02 4.497E+00 7 56.71 15.00 2.333E-05 2.740E-04 6.798E-05 6.799E-05 6.800E-05 4.206E-02 4.497E+00 9 75.61 20.00 1.569E-06 1.843E-05 4.573E-06 4.573E-06 4.573E-06 4.205E-02 4.497E+00 Waveband 18 of 40 completed in 16.6 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 25.9 m at 535.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 530.0 nm to 540.0 nm: Ed(diffuse) = 4.123E-01 Ed(direct) = 1.041E+00 Ed(total) = 1.453E+00 Absorption Coefficients of Individual Components at 535.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0452 0.0264 0.0032 0.1179 0.1927 3 18.554 5.000 0.0452 0.0264 0.0032 0.1179 0.1927 5 37.108 10.000 0.0452 0.0264 0.0032 0.1179 0.1927 7 55.661 15.000 0.0452 0.0264 0.0032 0.1179 0.1927 9 74.215 20.000 0.0452 0.0264 0.0032 0.1179 0.1927 Scattering Coefficients of Individual Components at 535.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0022 0.5021 0.0000 3.0138 3.5181 3 18.554 5.000 0.0022 0.5021 0.0000 3.0138 3.5181 5 37.108 10.000 0.0022 0.5021 0.0000 3.0138 3.5181 7 55.661 15.000 0.0022 0.5021 0.0000 3.0138 3.5181 9 74.215 20.000 0.0022 0.5021 0.0000 3.0138 3.5181 Backscattering Coefficients of Individual Components at 535.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00108 0.00502 0.00000 0.09041 0.09651 3 18.554 5.000 0.00108 0.00502 0.00000 0.09041 0.09651 5 37.108 10.000 0.00108 0.00502 0.00000 0.09041 0.09651 7 55.661 15.000 0.00108 0.00502 0.00000 0.09041 0.09651 9 74.215 20.000 0.00108 0.00502 0.00000 0.09041 0.09651 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 0.1927 3.5181 3.7108 0.9481 0.09651 0.02743 3 18.554 5.000 0.1927 3.5181 3.7108 0.9481 0.09651 0.02743 5 37.108 10.000 0.1927 3.5181 3.7108 0.9481 0.09651 0.02743 7 55.661 15.000 0.1927 3.5181 3.7108 0.9481 0.09651 0.02743 9 74.215 20.000 0.1927 3.5181 3.7108 0.9481 0.09651 0.02743 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.7519E-01 8 20.00 9.1192E-01 7 30.00 8.1875E-01 6 40.00 7.0928E-01 5 50.00 5.9668E-01 4 60.00 4.9114E-01 3 70.00 3.9890E-01 2 80.00 3.2297E-01 1 87.50 2.7504E-01 1 92.50 2.4500E-01 2 100.00 2.1048E-01 3 110.00 1.7491E-01 4 120.00 1.4785E-01 5 130.00 1.2786E-01 6 140.00 1.1339E-01 7 150.00 1.0326E-01 8 160.00 9.6592E-02 9 170.00 9.2801E-02 10 180.00 9.1437E-02 Asymptotic AOP values are MUu(inf) = 0.4159 MUd(inf) = 0.6083 MU(inf) = 0.3776 R(inf) = 0.1988 Lu(inf)/Ed(inf) = 0.044542 (1/sr) k(inf) = 0.5103 (1/m) absorp(check) = 0.1927 = 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 3.6670E-01 2.0355E+00 2.4022E+00 1.6697E-01 1.4533E+00 0.4553 0.7140 0.5355 1.1489E-01 1 0.00 0.00 5.7851E-01 2.0244E+00 2.6030E+00 2.6135E-01 1.5476E+00 0.4518 0.7645 0.4942 1.6887E-01 3 18.55 5.00 6.8473E-02 2.3544E-01 3.0392E-01 2.8505E-02 1.4356E-01 0.4163 0.6097 0.3786 1.9856E-01 5 37.11 10.00 5.3625E-03 1.8442E-02 2.3805E-02 2.2305E-03 1.1218E-02 0.4159 0.6083 0.3776 1.9883E-01 7 55.66 15.00 4.1805E-04 1.4378E-03 1.8559E-03 1.7388E-04 8.7461E-04 0.4159 0.6083 0.3776 1.9881E-01 9 74.22 20.00 3.2587E-05 1.1208E-04 1.4467E-04 1.3554E-05 6.8180E-05 0.4159 0.6083 0.3776 1.9880E-01 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 0.24499 0.34848 0.32547 0.22680 0.36190 0.38937 0.32236 5.000 5.010 5.005 0.50632 0.50634 0.50634 0.50704 0.50839 0.50872 0.50820 10.000 10.010 10.005 0.51027 0.51024 0.51025 0.51029 0.51027 0.51026 0.51031 15.000 15.010 15.005 0.51031 0.51028 0.51029 0.51033 0.51032 0.51032 0.51034 20.000 20.010 20.005 0.51033 0.51032 0.51032 0.51033 0.51033 0.51033 0.51033 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 3.59068E-02 8.13347E-03 4.40402E-02 2.47074E-02 0.073114 9 1 10.0 0.0 180.0 6.86415E-02 3.61543E-02 2.44778E-03 3.86021E-02 2.48778E-02 0.035660 9 4 10.0 45.0 135.0 7.54184E-02 3.61156E-02 2.83658E-03 3.89522E-02 2.48511E-02 0.037611 9 7 10.0 90.0 90.0 1.01897E-01 3.63117E-02 5.88520E-03 4.21969E-02 2.49861E-02 0.057757 8 1 20.0 0.0 180.0 5.39169E-02 3.64148E-02 1.31563E-03 3.77304E-02 2.50570E-02 0.024401 8 4 20.0 45.0 135.0 6.00240E-02 3.62420E-02 1.54878E-03 3.77908E-02 2.49381E-02 0.025803 8 7 20.0 90.0 90.0 8.82625E-02 3.66460E-02 3.47390E-03 4.01199E-02 2.52161E-02 0.039359 7 1 30.0 0.0 180.0 4.67489E-02 3.69250E-02 1.12535E-03 3.80504E-02 2.54081E-02 0.024072 7 4 30.0 45.0 135.0 5.18291E-02 3.71372E-02 1.26402E-03 3.84012E-02 2.55541E-02 0.024388 7 7 30.0 90.0 90.0 7.55844E-02 3.75308E-02 2.17779E-03 3.97086E-02 2.58249E-02 0.028813 6 1 40.0 0.0 180.0 4.43735E-02 3.73571E-02 1.25125E-03 3.86084E-02 2.57054E-02 0.028198 6 4 40.0 45.0 135.0 4.85201E-02 3.75996E-02 1.35706E-03 3.89567E-02 2.58723E-02 0.027969 6 7 40.0 90.0 90.0 6.81214E-02 3.82383E-02 1.96591E-03 4.02042E-02 2.63117E-02 0.028859 5 1 50.0 0.0 180.0 4.65242E-02 3.79783E-02 1.97656E-03 3.99548E-02 2.61328E-02 0.042485 5 4 50.0 45.0 135.0 4.95778E-02 3.80665E-02 2.05921E-03 4.01258E-02 2.61936E-02 0.041535 5 7 50.0 90.0 90.0 6.59011E-02 3.88921E-02 2.66217E-03 4.15542E-02 2.67616E-02 0.040396 4 1 60.0 0.0 180.0 5.52249E-02 3.75467E-02 4.60446E-03 4.21511E-02 2.58359E-02 0.083377 4 4 60.0 45.0 135.0 5.64747E-02 3.76178E-02 4.54682E-03 4.21646E-02 2.58848E-02 0.080511 4 7 60.0 90.0 90.0 6.97389E-02 3.89972E-02 5.30966E-03 4.43068E-02 2.68339E-02 0.076136 3 1 70.0 0.0 180.0 7.66250E-02 3.48708E-02 1.27188E-02 4.75896E-02 2.39946E-02 0.165987 3 4 70.0 45.0 135.0 7.44683E-02 3.53235E-02 1.22378E-02 4.75613E-02 2.43061E-02 0.164336 3 7 70.0 90.0 90.0 8.32537E-02 3.66482E-02 1.33080E-02 4.99562E-02 2.52176E-02 0.159849 2 1 80.0 0.0 180.0 1.30187E-01 2.98384E-02 3.16150E-02 6.14534E-02 2.05318E-02 0.242843 2 4 80.0 45.0 135.0 1.20551E-01 3.01477E-02 3.05783E-02 6.07260E-02 2.07446E-02 0.253655 2 7 80.0 90.0 90.0 1.19768E-01 3.12916E-02 3.20238E-02 6.33154E-02 2.15317E-02 0.267382 1 1 87.5 0.0 180.0 2.10488E-01 2.39327E-02 5.57575E-02 7.96902E-02 1.64681E-02 0.264896 1 4 87.5 45.0 135.0 1.89519E-01 2.30140E-02 5.54132E-02 7.84272E-02 1.58359E-02 0.292389 1 7 87.5 90.0 90.0 1.72420E-01 2.63918E-02 5.67118E-02 8.31036E-02 1.81602E-02 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 4.404E-02 1.112E-01 1.451E-01 1.278E-01 1.865E-01 3.030E-02 3.791E+00 3.591E-02 2.471E-02 1 0.00 0.00 6.659E-02 2.083E-01 1.099E-01 1.249E-01 1.538E-01 4.303E-02 3.925E+00 3 18.55 5.00 6.396E-03 7.127E-02 1.741E-02 1.807E-02 1.886E-02 4.456E-02 4.456E+00 5 37.11 10.00 4.998E-04 5.467E-03 1.418E-03 1.421E-03 1.425E-03 4.455E-02 4.463E+00 7 55.66 15.00 3.896E-05 4.261E-04 1.108E-04 1.108E-04 1.108E-04 4.455E-02 4.463E+00 9 74.22 20.00 3.037E-06 3.321E-05 8.636E-06 8.636E-06 8.636E-06 4.455E-02 4.463E+00 Waveband 19 of 40 completed in 15.9 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 25.9 m at 545.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 540.0 nm to 550.0 nm: Ed(diffuse) = 4.017E-01 Ed(direct) = 1.032E+00 Ed(total) = 1.434E+00 Absorption Coefficients of Individual Components at 545.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0511 0.0228 0.0028 0.1018 0.1785 3 18.229 5.000 0.0511 0.0228 0.0028 0.1018 0.1785 5 36.458 10.000 0.0511 0.0228 0.0028 0.1018 0.1785 7 54.687 15.000 0.0511 0.0228 0.0028 0.1018 0.1785 9 72.916 20.000 0.0511 0.0228 0.0028 0.1018 0.1785 Scattering Coefficients of Individual Components at 545.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0020 0.4929 0.0000 2.9724 3.4673 3 18.229 5.000 0.0020 0.4929 0.0000 2.9724 3.4673 5 36.458 10.000 0.0020 0.4929 0.0000 2.9724 3.4673 7 54.687 15.000 0.0020 0.4929 0.0000 2.9724 3.4673 9 72.916 20.000 0.0020 0.4929 0.0000 2.9724 3.4673 Backscattering Coefficients of Individual Components at 545.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00100 0.00493 0.00000 0.08917 0.09510 3 18.229 5.000 0.00100 0.00493 0.00000 0.08917 0.09510 5 36.458 10.000 0.00100 0.00493 0.00000 0.08917 0.09510 7 54.687 15.000 0.00100 0.00493 0.00000 0.08917 0.09510 9 72.916 20.000 0.00100 0.00493 0.00000 0.08917 0.09510 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 0.1785 3.4673 3.6458 0.9510 0.09510 0.02743 3 18.229 5.000 0.1785 3.4673 3.6458 0.9510 0.09510 0.02743 5 36.458 10.000 0.1785 3.4673 3.6458 0.9510 0.09510 0.02743 7 54.687 15.000 0.1785 3.4673 3.6458 0.9510 0.09510 0.02743 9 72.916 20.000 0.1785 3.4673 3.6458 0.9510 0.09510 0.02743 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.7603E-01 8 20.00 9.1481E-01 7 30.00 8.2433E-01 6 40.00 7.1753E-01 5 50.00 6.0700E-01 4 60.00 5.0271E-01 3 70.00 4.1088E-01 2 80.00 3.3472E-01 1 87.50 2.8632E-01 1 92.50 2.5582E-01 2 100.00 2.2064E-01 3 110.00 1.8419E-01 4 120.00 1.5629E-01 5 130.00 1.3556E-01 6 140.00 1.2049E-01 7 150.00 1.0990E-01 8 160.00 1.0291E-01 9 170.00 9.8931E-02 10 180.00 9.7497E-02 Asymptotic AOP values are MUu(inf) = 0.4177 MUd(inf) = 0.6051 MU(inf) = 0.3684 R(inf) = 0.2079 Lu(inf)/Ed(inf) = 0.046902 (1/sr) k(inf) = 0.4846 (1/m) absorp(check) = 0.1785 = 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 3.7340E-01 2.0041E+00 2.3775E+00 1.7134E-01 1.4340E+00 0.4589 0.7155 0.5311 1.1949E-01 1 0.00 0.00 6.0073E-01 2.0206E+00 2.6214E+00 2.7209E-01 1.5347E+00 0.4529 0.7595 0.4816 1.7729E-01 3 18.23 5.00 8.0128E-02 2.6607E-01 3.4620E-01 3.3502E-02 1.6140E-01 0.4181 0.6066 0.3694 2.0758E-01 5 36.46 10.00 7.1400E-03 2.3713E-02 3.0853E-02 2.9826E-03 1.4348E-02 0.4177 0.6051 0.3684 2.0788E-01 7 54.69 15.00 6.3317E-04 2.1031E-03 2.7362E-03 2.6449E-04 1.2724E-03 0.4177 0.6050 0.3684 2.0786E-01 9 72.92 20.00 5.6146E-05 1.8649E-04 2.4264E-04 2.3453E-05 1.1284E-04 0.4177 0.6050 0.3684 2.0785E-01 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 0.24067 0.34612 0.32195 0.21647 0.34277 0.37001 0.30534 5.000 5.010 5.005 0.48040 0.48039 0.48039 0.48116 0.48256 0.48293 0.48237 10.000 10.010 10.005 0.48449 0.48447 0.48448 0.48451 0.48449 0.48449 0.48453 15.000 15.010 15.005 0.48456 0.48455 0.48455 0.48456 0.48454 0.48454 0.48456 20.000 20.010 20.005 0.48455 0.48455 0.48455 0.48455 0.48455 0.48455 0.48456 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 3.75570E-02 8.01634E-03 4.55734E-02 2.61910E-02 0.073957 9 1 10.0 0.0 180.0 6.68824E-02 3.78094E-02 2.39731E-03 4.02067E-02 2.63670E-02 0.035844 9 4 10.0 45.0 135.0 7.34857E-02 3.77701E-02 2.77967E-03 4.05498E-02 2.63397E-02 0.037826 9 7 10.0 90.0 90.0 9.92853E-02 3.79773E-02 5.79088E-03 4.37682E-02 2.64841E-02 0.058326 8 1 20.0 0.0 180.0 5.25352E-02 3.80728E-02 1.28254E-03 3.93554E-02 2.65507E-02 0.024413 8 4 20.0 45.0 135.0 5.84859E-02 3.78944E-02 1.51070E-03 3.94051E-02 2.64263E-02 0.025830 8 7 20.0 90.0 90.0 8.60007E-02 3.83196E-02 3.40636E-03 4.17260E-02 2.67228E-02 0.039609 7 1 30.0 0.0 180.0 4.55509E-02 3.85953E-02 1.09651E-03 3.96918E-02 2.69151E-02 0.024072 7 4 30.0 45.0 135.0 5.05014E-02 3.88201E-02 1.23170E-03 4.00518E-02 2.70718E-02 0.024390 7 7 30.0 90.0 90.0 7.36446E-02 3.92345E-02 2.12621E-03 4.13607E-02 2.73608E-02 0.028871 6 1 40.0 0.0 180.0 4.32364E-02 3.90288E-02 1.21919E-03 4.02479E-02 2.72174E-02 0.028198 6 4 40.0 45.0 135.0 4.72767E-02 3.92856E-02 1.32229E-03 4.06079E-02 2.73965E-02 0.027969 6 7 40.0 90.0 90.0 6.63757E-02 3.99540E-02 1.91581E-03 4.18698E-02 2.78626E-02 0.028863 5 1 50.0 0.0 180.0 4.53319E-02 3.96587E-02 1.92591E-03 4.15846E-02 2.76567E-02 0.042485 5 4 50.0 45.0 135.0 4.83073E-02 3.97540E-02 2.00644E-03 4.17605E-02 2.77231E-02 0.041535 5 7 50.0 90.0 90.0 6.42124E-02 4.06133E-02 2.59395E-03 4.32072E-02 2.83224E-02 0.040396 4 1 60.0 0.0 180.0 5.38097E-02 3.91880E-02 4.48647E-03 4.36745E-02 2.73285E-02 0.083377 4 4 60.0 45.0 135.0 5.50275E-02 3.92648E-02 4.43031E-03 4.36951E-02 2.73819E-02 0.080511 4 7 60.0 90.0 90.0 6.79517E-02 4.06971E-02 5.17359E-03 4.58707E-02 2.83808E-02 0.076136 3 1 70.0 0.0 180.0 7.46614E-02 3.63730E-02 1.23928E-02 4.87659E-02 2.53654E-02 0.165987 3 4 70.0 45.0 135.0 7.25599E-02 3.68462E-02 1.19242E-02 4.87704E-02 2.56953E-02 0.164336 3 7 70.0 90.0 90.0 8.11203E-02 3.82146E-02 1.29670E-02 5.11816E-02 2.66496E-02 0.159849 2 1 80.0 0.0 180.0 1.26851E-01 3.11056E-02 3.08049E-02 6.19105E-02 2.16920E-02 0.242843 2 4 80.0 45.0 135.0 1.17461E-01 3.14275E-02 2.97947E-02 6.12222E-02 2.19165E-02 0.253655 2 7 80.0 90.0 90.0 1.16699E-01 3.26038E-02 3.12031E-02 6.38069E-02 2.27368E-02 0.267382 1 1 87.5 0.0 180.0 2.05094E-01 2.49341E-02 5.43287E-02 7.92628E-02 1.73882E-02 0.264896 1 4 87.5 45.0 135.0 1.84662E-01 2.39757E-02 5.39932E-02 7.79689E-02 1.67199E-02 0.292389 1 7 87.5 90.0 90.0 1.68002E-01 2.74760E-02 5.52585E-02 8.27345E-02 1.91608E-02 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 4.557E-02 1.084E-01 1.422E-01 1.254E-01 1.827E-01 3.178E-02 3.760E+00 3.756E-02 2.619E-02 1 0.00 0.00 6.965E-02 2.031E-01 1.141E-01 1.293E-01 1.585E-01 4.539E-02 3.906E+00 3 18.23 5.00 7.571E-03 7.923E-02 2.014E-02 2.091E-02 2.183E-02 4.691E-02 4.425E+00 5 36.46 10.00 6.731E-04 6.905E-03 1.866E-03 1.871E-03 1.876E-03 4.691E-02 4.431E+00 7 54.69 15.00 5.969E-05 6.121E-04 1.659E-04 1.659E-04 1.660E-04 4.691E-02 4.431E+00 9 72.92 20.00 5.293E-06 5.428E-05 1.471E-05 1.471E-05 1.471E-05 4.690E-02 4.431E+00 Waveband 20 of 40 completed in 15.8 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 25.9 m at 555.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 550.0 nm to 560.0 nm: Ed(diffuse) = 3.946E-01 Ed(direct) = 1.031E+00 Ed(total) = 1.425E+00 Absorption Coefficients of Individual Components at 555.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0596 0.0192 0.0024 0.0858 0.1670 3 17.930 5.000 0.0596 0.0192 0.0024 0.0858 0.1670 5 35.859 10.000 0.0596 0.0192 0.0024 0.0858 0.1670 7 53.789 15.000 0.0596 0.0192 0.0024 0.0858 0.1670 9 71.718 20.000 0.0596 0.0192 0.0024 0.0858 0.1670 Scattering Coefficients of Individual Components at 555.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0018 0.4840 0.0000 2.9331 3.4190 3 17.930 5.000 0.0018 0.4840 0.0000 2.9331 3.4190 5 35.859 10.000 0.0018 0.4840 0.0000 2.9331 3.4190 7 53.789 15.000 0.0018 0.4840 0.0000 2.9331 3.4190 9 71.718 20.000 0.0018 0.4840 0.0000 2.9331 3.4190 Backscattering Coefficients of Individual Components at 555.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00092 0.00484 0.00000 0.08799 0.09375 3 17.930 5.000 0.00092 0.00484 0.00000 0.08799 0.09375 5 35.859 10.000 0.00092 0.00484 0.00000 0.08799 0.09375 7 53.789 15.000 0.00092 0.00484 0.00000 0.08799 0.09375 9 71.718 20.000 0.00092 0.00484 0.00000 0.08799 0.09375 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 0.1670 3.4190 3.5859 0.9534 0.09375 0.02742 3 17.930 5.000 0.1670 3.4190 3.5859 0.9534 0.09375 0.02742 5 35.859 10.000 0.1670 3.4190 3.5859 0.9534 0.09375 0.02742 7 53.789 15.000 0.1670 3.4190 3.5859 0.9534 0.09375 0.02742 9 71.718 20.000 0.1670 3.4190 3.5859 0.9534 0.09375 0.02742 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.7672E-01 8 20.00 9.1719E-01 7 30.00 8.2896E-01 6 40.00 7.2441E-01 5 50.00 6.1566E-01 4 60.00 5.1247E-01 3 70.00 4.2105E-01 2 80.00 3.4477E-01 1 87.50 2.9602E-01 1 92.50 2.6517E-01 2 100.00 2.2945E-01 3 110.00 1.9227E-01 4 120.00 1.6367E-01 5 130.00 1.4232E-01 6 140.00 1.2676E-01 7 150.00 1.1578E-01 8 160.00 1.0851E-01 9 170.00 1.0437E-01 10 180.00 1.0287E-01 Asymptotic AOP values are MUu(inf) = 0.4192 MUd(inf) = 0.6024 MU(inf) = 0.3606 R(inf) = 0.2157 Lu(inf)/Ed(inf) = 0.048975 (1/sr) k(inf) = 0.4630 (1/m) absorp(check) = 0.1670 = 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 3.8122E-01 1.9877E+00 2.3690E+00 1.7608E-01 1.4251E+00 0.4619 0.7169 0.5272 1.2356E-01 1 0.00 0.00 6.2320E-01 2.0283E+00 2.6515E+00 2.8287E-01 1.5318E+00 0.4539 0.7552 0.4710 1.8466E-01 3 17.93 5.00 9.1855E-02 2.9627E-01 3.8812E-01 3.8547E-02 1.7894E-01 0.4197 0.6040 0.3617 2.1542E-01 5 35.86 10.00 9.1198E-03 2.9421E-02 3.8541E-02 3.8235E-03 1.7722E-02 0.4193 0.6024 0.3606 2.1575E-01 7 53.79 15.00 9.0094E-04 2.9067E-03 3.8076E-03 3.7771E-04 1.7508E-03 0.4192 0.6023 0.3606 2.1574E-01 9 71.72 20.00 8.8994E-05 2.8712E-04 3.7612E-04 3.7310E-05 1.7295E-04 0.4192 0.6024 0.3606 2.1573E-01 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 0.23676 0.34436 0.31906 0.20793 0.32690 0.35386 0.29121 5.000 5.010 5.005 0.45868 0.45864 0.45865 0.45947 0.46093 0.46133 0.46072 10.000 10.010 10.005 0.46290 0.46288 0.46288 0.46292 0.46291 0.46291 0.46294 15.000 15.010 15.005 0.46297 0.46296 0.46296 0.46297 0.46296 0.46296 0.46297 20.000 20.010 20.005 0.46297 0.46297 0.46297 0.46297 0.46297 0.46296 0.46297 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 3.92012E-02 7.95844E-03 4.71596E-02 2.75081E-02 0.074746 9 1 10.0 0.0 180.0 6.56983E-02 3.94592E-02 2.36614E-03 4.18253E-02 2.76891E-02 0.036015 9 4 10.0 45.0 135.0 7.21847E-02 3.94191E-02 2.74497E-03 4.21641E-02 2.76610E-02 0.038027 9 7 10.0 90.0 90.0 9.75275E-02 3.96368E-02 5.74034E-03 4.53771E-02 2.78138E-02 0.058859 8 1 20.0 0.0 180.0 5.16051E-02 3.97261E-02 1.26040E-03 4.09865E-02 2.78765E-02 0.024424 8 4 20.0 45.0 135.0 5.74504E-02 3.95416E-02 1.48543E-03 4.10271E-02 2.77470E-02 0.025856 8 7 20.0 90.0 90.0 8.44780E-02 3.99872E-02 3.36583E-03 4.33531E-02 2.80597E-02 0.039843 7 1 30.0 0.0 180.0 4.47444E-02 4.02613E-02 1.07710E-03 4.13384E-02 2.82520E-02 0.024072 7 4 30.0 45.0 135.0 4.96077E-02 4.04981E-02 1.20997E-03 4.17081E-02 2.84182E-02 0.024391 7 7 30.0 90.0 90.0 7.23380E-02 4.09322E-02 2.09245E-03 4.30246E-02 2.87228E-02 0.028926 6 1 40.0 0.0 180.0 4.24709E-02 4.06970E-02 1.19760E-03 4.18946E-02 2.85578E-02 0.028198 6 4 40.0 45.0 135.0 4.64396E-02 4.09674E-02 1.29888E-03 4.22663E-02 2.87475E-02 0.027969 6 7 40.0 90.0 90.0 6.52005E-02 4.16643E-02 1.88214E-03 4.35464E-02 2.92365E-02 0.028867 5 1 50.0 0.0 180.0 4.45293E-02 4.13366E-02 1.89181E-03 4.32284E-02 2.90066E-02 0.042485 5 4 50.0 45.0 135.0 4.74520E-02 4.14382E-02 1.97092E-03 4.34091E-02 2.90778E-02 0.041535 5 7 50.0 90.0 90.0 6.30755E-02 4.23302E-02 2.54802E-03 4.48783E-02 2.97038E-02 0.040396 4 1 60.0 0.0 180.0 5.28570E-02 4.08280E-02 4.40703E-03 4.52351E-02 2.86497E-02 0.083377 4 4 60.0 45.0 135.0 5.40532E-02 4.09096E-02 4.35187E-03 4.52614E-02 2.87069E-02 0.080511 4 7 60.0 90.0 90.0 6.67486E-02 4.23943E-02 5.08199E-03 4.74763E-02 2.97488E-02 0.076136 3 1 70.0 0.0 180.0 7.33395E-02 3.78753E-02 1.21734E-02 5.00487E-02 2.65777E-02 0.165987 3 4 70.0 45.0 135.0 7.12752E-02 3.83684E-02 1.17131E-02 5.00815E-02 2.69237E-02 0.164336 3 7 70.0 90.0 90.0 7.96840E-02 3.97804E-02 1.27374E-02 5.25178E-02 2.79146E-02 0.159849 2 1 80.0 0.0 180.0 1.24605E-01 3.23741E-02 3.02595E-02 6.26335E-02 2.27174E-02 0.242843 2 4 80.0 45.0 135.0 1.15382E-01 3.27082E-02 2.92672E-02 6.19754E-02 2.29519E-02 0.253655 2 7 80.0 90.0 90.0 1.14633E-01 3.39174E-02 3.06507E-02 6.45680E-02 2.38004E-02 0.267382 1 1 87.5 0.0 180.0 2.01463E-01 2.59376E-02 5.33668E-02 7.93044E-02 1.82008E-02 0.264896 1 4 87.5 45.0 135.0 1.81393E-01 2.49393E-02 5.30373E-02 7.79765E-02 1.75003E-02 0.292389 1 7 87.5 90.0 90.0 1.65027E-01 2.85631E-02 5.42802E-02 8.28433E-02 2.00432E-02 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 4.716E-02 1.065E-01 1.404E-01 1.239E-01 1.803E-01 3.309E-02 3.734E+00 3.920E-02 2.751E-02 1 0.00 0.00 7.271E-02 1.996E-01 1.183E-01 1.338E-01 1.633E-01 4.746E-02 3.891E+00 3 17.93 5.00 8.765E-03 8.704E-02 2.285E-02 2.373E-02 2.481E-02 4.898E-02 4.398E+00 5 35.86 10.00 8.681E-04 8.441E-03 2.361E-03 2.367E-03 2.374E-03 4.898E-02 4.404E+00 7 53.79 15.00 8.575E-05 8.335E-04 2.339E-04 2.339E-04 2.339E-04 4.898E-02 4.405E+00 9 71.72 20.00 8.471E-06 8.234E-05 2.310E-05 2.310E-05 2.310E-05 4.898E-02 4.405E+00 Waveband 21 of 40 completed in 15.4 sec. * * * * * Output for wavelength band 22 (560.0 to 570.0 nm; nominal wavelength = 565.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 25.9 m at 565.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 560.0 nm to 570.0 nm: Ed(diffuse) = 3.870E-01 Ed(direct) = 1.026E+00 Ed(total) = 1.413E+00 Absorption Coefficients of Individual Components at 565.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0642 0.0162 0.0021 0.0724 0.1548 3 17.625 5.000 0.0642 0.0162 0.0021 0.0724 0.1548 5 35.251 10.000 0.0642 0.0162 0.0021 0.0724 0.1548 7 52.876 15.000 0.0642 0.0162 0.0021 0.0724 0.1548 9 70.501 20.000 0.0642 0.0162 0.0021 0.0724 0.1548 Scattering Coefficients of Individual Components at 565.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0017 0.4754 0.0000 2.8931 3.3702 3 17.625 5.000 0.0017 0.4754 0.0000 2.8931 3.3702 5 35.251 10.000 0.0017 0.4754 0.0000 2.8931 3.3702 7 52.876 15.000 0.0017 0.4754 0.0000 2.8931 3.3702 9 70.501 20.000 0.0017 0.4754 0.0000 2.8931 3.3702 Backscattering Coefficients of Individual Components at 565.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00085 0.00475 0.00000 0.08679 0.09240 3 17.625 5.000 0.00085 0.00475 0.00000 0.08679 0.09240 5 35.251 10.000 0.00085 0.00475 0.00000 0.08679 0.09240 7 52.876 15.000 0.00085 0.00475 0.00000 0.08679 0.09240 9 70.501 20.000 0.00085 0.00475 0.00000 0.08679 0.09240 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 0.1548 3.3702 3.5251 0.9561 0.09240 0.02742 3 17.625 5.000 0.1548 3.3702 3.5251 0.9561 0.09240 0.02742 5 35.251 10.000 0.1548 3.3702 3.5251 0.9561 0.09240 0.02742 7 52.876 15.000 0.1548 3.3702 3.5251 0.9561 0.09240 0.02742 9 70.501 20.000 0.1548 3.3702 3.5251 0.9561 0.09240 0.02742 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.7750E-01 8 20.00 9.1985E-01 7 30.00 8.3416E-01 6 40.00 7.3215E-01 5 50.00 6.2547E-01 4 60.00 5.2360E-01 3 70.00 4.3274E-01 2 80.00 3.5639E-01 1 87.50 3.0728E-01 1 92.50 2.7605E-01 2 100.00 2.3976E-01 3 110.00 2.0178E-01 4 120.00 1.7240E-01 5 130.00 1.5037E-01 6 140.00 1.3422E-01 7 150.00 1.2280E-01 8 160.00 1.1522E-01 9 170.00 1.1088E-01 10 180.00 1.0932E-01 Asymptotic AOP values are MUu(inf) = 0.4210 MUd(inf) = 0.5993 MU(inf) = 0.3518 R(inf) = 0.2250 Lu(inf)/Ed(inf) = 0.051438 (1/sr) k(inf) = 0.4402 (1/m) absorp(check) = 0.1549 = 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 3.9038E-01 1.9675E+00 2.3579E+00 1.8154E-01 1.4132E+00 0.4650 0.7183 0.5224 1.2846E-01 1 0.00 0.00 6.4902E-01 2.0354E+00 2.6844E+00 2.9529E-01 1.5269E+00 0.4550 0.7502 0.4588 1.9339E-01 3 17.63 5.00 1.0621E-01 3.3151E-01 4.3772E-01 4.4760E-02 1.9926E-01 0.4214 0.6011 0.3530 2.2464E-01 5 35.25 10.00 1.1822E-02 3.6908E-02 4.8729E-02 4.9772E-03 2.2120E-02 0.4210 0.5993 0.3518 2.2501E-01 7 52.88 15.00 1.3090E-03 4.0870E-03 5.3960E-03 5.5110E-04 2.4494E-03 0.4210 0.5993 0.3518 2.2499E-01 9 70.50 20.00 1.4493E-04 4.5251E-04 5.9744E-04 6.1016E-05 2.7120E-04 0.4210 0.5993 0.3518 2.2499E-01 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 0.23308 0.34369 0.31694 0.19916 0.31026 0.33691 0.27643 5.000 5.010 5.005 0.43573 0.43565 0.43567 0.43655 0.43806 0.43850 0.43785 10.000 10.010 10.005 0.44009 0.44007 0.44007 0.44010 0.44009 0.44009 0.44012 15.000 15.010 15.005 0.44016 0.44015 0.44015 0.44015 0.44014 0.44014 0.44015 20.000 20.010 20.005 0.44015 0.44015 0.44015 0.44015 0.44015 0.44015 0.44015 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 565.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.04429E-01 4.11116E-02 7.88459E-03 4.89962E-02 2.90907E-02 0.075502 9 1 10.0 0.0 180.0 6.44370E-02 4.13763E-02 2.33131E-03 4.37076E-02 2.92781E-02 0.036180 9 4 10.0 45.0 135.0 7.07988E-02 4.13351E-02 2.70590E-03 4.40410E-02 2.92489E-02 0.038220 9 7 10.0 90.0 90.0 9.56551E-02 4.15645E-02 5.67898E-03 4.72435E-02 2.94112E-02 0.059369 8 1 20.0 0.0 180.0 5.06144E-02 4.16469E-02 1.23674E-03 4.28836E-02 2.94695E-02 0.024435 8 4 20.0 45.0 135.0 5.63474E-02 4.14550E-02 1.45830E-03 4.29133E-02 2.93337E-02 0.025880 8 7 20.0 90.0 90.0 8.28562E-02 4.19234E-02 3.31978E-03 4.52432E-02 2.96652E-02 0.040067 7 1 30.0 0.0 180.0 4.38854E-02 4.21961E-02 1.05642E-03 4.32525E-02 2.98581E-02 0.024072 7 4 30.0 45.0 135.0 4.86557E-02 4.24463E-02 1.18680E-03 4.36331E-02 3.00352E-02 0.024392 7 7 30.0 90.0 90.0 7.09468E-02 4.29020E-02 2.05593E-03 4.49580E-02 3.03577E-02 0.028978 6 1 40.0 0.0 180.0 4.16555E-02 4.26328E-02 1.17461E-03 4.38074E-02 3.01671E-02 0.028198 6 4 40.0 45.0 135.0 4.55481E-02 4.29184E-02 1.27394E-03 4.41923E-02 3.03692E-02 0.027969 6 7 40.0 90.0 90.0 6.39488E-02 4.36465E-02 1.84625E-03 4.54927E-02 3.08845E-02 0.028871 5 1 50.0 0.0 180.0 4.36744E-02 4.32821E-02 1.85549E-03 4.51376E-02 3.06266E-02 0.042485 5 4 50.0 45.0 135.0 4.65410E-02 4.33902E-02 1.93308E-03 4.53233E-02 3.07031E-02 0.041535 5 7 50.0 90.0 90.0 6.18645E-02 4.43178E-02 2.49910E-03 4.68169E-02 3.13595E-02 0.040396 4 1 60.0 0.0 180.0 5.18422E-02 4.27279E-02 4.32243E-03 4.70504E-02 3.02345E-02 0.083377 4 4 60.0 45.0 135.0 5.30155E-02 4.28142E-02 4.26832E-03 4.70825E-02 3.02955E-02 0.080511 4 7 60.0 90.0 90.0 6.54672E-02 4.43566E-02 4.98443E-03 4.93411E-02 3.13870E-02 0.076136 3 1 70.0 0.0 180.0 7.19315E-02 3.96141E-02 1.19397E-02 5.15538E-02 2.80311E-02 0.165987 3 4 70.0 45.0 135.0 6.99069E-02 4.01294E-02 1.14882E-02 5.16176E-02 2.83957E-02 0.164336 3 7 70.0 90.0 90.0 7.81542E-02 4.15885E-02 1.24929E-02 5.40814E-02 2.94282E-02 0.159849 2 1 80.0 0.0 180.0 1.22213E-01 3.38411E-02 2.96785E-02 6.35196E-02 2.39461E-02 0.242843 2 4 80.0 45.0 135.0 1.13166E-01 3.41884E-02 2.87053E-02 6.28937E-02 2.41919E-02 0.253655 2 7 80.0 90.0 90.0 1.12432E-01 3.54323E-02 3.00622E-02 6.54946E-02 2.50721E-02 0.267382 1 1 87.5 0.0 180.0 1.97595E-01 2.70973E-02 5.23422E-02 7.94395E-02 1.91742E-02 0.264896 1 4 87.5 45.0 135.0 1.77910E-01 2.60520E-02 5.20190E-02 7.80711E-02 1.84345E-02 0.292389 1 7 87.5 90.0 90.0 1.61859E-01 2.98156E-02 5.32381E-02 8.30536E-02 2.10976E-02 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 4.900E-02 1.044E-01 1.385E-01 1.225E-01 1.778E-01 3.467E-02 3.705E+00 4.111E-02 2.909E-02 1 0.00 0.00 7.625E-02 1.958E-01 1.232E-01 1.389E-01 1.688E-01 4.994E-02 3.873E+00 3 17.63 5.00 1.025E-02 9.592E-02 2.612E-02 2.714E-02 2.838E-02 5.144E-02 4.367E+00 5 35.25 10.00 1.138E-03 1.041E-02 3.027E-03 3.036E-03 3.044E-03 5.145E-02 4.374E+00 7 52.88 15.00 1.260E-04 1.153E-03 3.361E-04 3.362E-04 3.362E-04 5.144E-02 4.374E+00 9 70.50 20.00 1.395E-05 1.276E-04 3.722E-05 3.722E-05 3.722E-05 5.144E-02 4.374E+00 Waveband 22 of 40 completed in 15.4 sec. * * * * * Output for wavelength band 23 (570.0 to 580.0 nm; nominal wavelength = 575.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 25.9 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 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0772 0.0156 0.0018 0.0697 0.1643 3 17.386 5.000 0.0772 0.0156 0.0018 0.0697 0.1643 5 34.772 10.000 0.0772 0.0156 0.0018 0.0697 0.1643 7 52.158 15.000 0.0772 0.0156 0.0018 0.0697 0.1643 9 69.545 20.000 0.0772 0.0156 0.0018 0.0697 0.1643 Scattering Coefficients of Individual Components at 575.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0016 0.4672 0.0000 2.8442 3.3129 3 17.386 5.000 0.0016 0.4672 0.0000 2.8442 3.3129 5 34.772 10.000 0.0016 0.4672 0.0000 2.8442 3.3129 7 52.158 15.000 0.0016 0.4672 0.0000 2.8442 3.3129 9 69.545 20.000 0.0016 0.4672 0.0000 2.8442 3.3129 Backscattering Coefficients of Individual Components at 575.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00079 0.00467 0.00000 0.08533 0.09079 3 17.386 5.000 0.00079 0.00467 0.00000 0.08533 0.09079 5 34.772 10.000 0.00079 0.00467 0.00000 0.08533 0.09079 7 52.158 15.000 0.00079 0.00467 0.00000 0.08533 0.09079 9 69.545 20.000 0.00079 0.00467 0.00000 0.08533 0.09079 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 0.1643 3.3129 3.4772 0.9528 0.09079 0.02740 3 17.386 5.000 0.1643 3.3129 3.4772 0.9528 0.09079 0.02740 5 34.772 10.000 0.1643 3.3129 3.4772 0.9528 0.09079 0.02740 7 52.158 15.000 0.1643 3.3129 3.4772 0.9528 0.09079 0.02740 9 69.545 20.000 0.1643 3.3129 3.4772 0.9528 0.09079 0.02740 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.7653E-01 8 20.00 9.1651E-01 7 30.00 8.2765E-01 6 40.00 7.2245E-01 5 50.00 6.1318E-01 4 60.00 5.0967E-01 3 70.00 4.1812E-01 2 80.00 3.4186E-01 1 87.50 2.9320E-01 1 92.50 2.6244E-01 2 100.00 2.2687E-01 3 110.00 1.8989E-01 4 120.00 1.6149E-01 5 130.00 1.4032E-01 6 140.00 1.2489E-01 7 150.00 1.1402E-01 8 160.00 1.0683E-01 9 170.00 1.0274E-01 10 180.00 1.0126E-01 Asymptotic AOP values are MUu(inf) = 0.4188 MUd(inf) = 0.6031 MU(inf) = 0.3629 R(inf) = 0.2134 Lu(inf)/Ed(inf) = 0.048350 (1/sr) k(inf) = 0.4527 (1/m) absorp(check) = 0.1643 = 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 3.7306E-01 1.9664E+00 2.3395E+00 1.7267E-01 1.4148E+00 0.4629 0.7195 0.5310 1.2205E-01 1 0.00 0.00 6.1050E-01 2.0067E+00 2.6173E+00 2.7697E-01 1.5191E+00 0.4537 0.7570 0.4746 1.8233E-01 3 17.39 5.00 9.5000E-02 3.0904E-01 4.0404E-01 3.9828E-02 1.8697E-01 0.4192 0.6050 0.3642 2.1302E-01 5 34.77 10.00 9.9351E-03 3.2325E-02 4.2260E-02 4.1607E-03 1.9497E-02 0.4188 0.6032 0.3629 2.1341E-01 7 52.16 15.00 1.0331E-03 3.3615E-03 4.3946E-03 4.3264E-04 2.0274E-03 0.4188 0.6031 0.3629 2.1340E-01 9 69.54 20.00 1.0741E-04 3.4952E-04 4.5693E-04 4.4983E-05 2.1080E-04 0.4188 0.6031 0.3629 2.1339E-01 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 0.22974 0.33397 0.30965 0.20254 0.31956 0.34568 0.28438 5.000 5.010 5.005 0.44794 0.44792 0.44793 0.44882 0.45047 0.45091 0.45021 10.000 10.010 10.005 0.45263 0.45261 0.45261 0.45265 0.45265 0.45265 0.45269 15.000 15.010 15.005 0.45272 0.45271 0.45272 0.45272 0.45271 0.45271 0.45273 20.000 20.010 20.005 0.45271 0.45269 0.45269 0.45272 0.45272 0.45272 0.45272 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 3.83499E-02 7.88652E-03 4.62364E-02 2.71055E-02 0.076220 9 1 10.0 0.0 180.0 6.38454E-02 3.86018E-02 2.31989E-03 4.09216E-02 2.72835E-02 0.036336 9 4 10.0 45.0 135.0 7.01489E-02 3.85628E-02 2.69390E-03 4.12567E-02 2.72560E-02 0.038403 9 7 10.0 90.0 90.0 9.47770E-02 3.87766E-02 5.67282E-03 4.44494E-02 2.74071E-02 0.059854 8 1 20.0 0.0 180.0 5.01497E-02 3.88635E-02 1.22589E-03 4.00894E-02 2.74685E-02 0.024445 8 4 20.0 45.0 135.0 5.58301E-02 3.86833E-02 1.44622E-03 4.01295E-02 2.73411E-02 0.025904 8 7 20.0 90.0 90.0 8.20955E-02 3.91208E-02 3.30679E-03 4.24276E-02 2.76504E-02 0.040280 7 1 30.0 0.0 180.0 4.34825E-02 3.93880E-02 1.04672E-03 4.04347E-02 2.78392E-02 0.024072 7 4 30.0 45.0 135.0 4.82094E-02 3.96200E-02 1.17597E-03 4.07960E-02 2.80032E-02 0.024393 7 7 30.0 90.0 90.0 7.02931E-02 4.00473E-02 2.04050E-03 4.20878E-02 2.83052E-02 0.029028 6 1 40.0 0.0 180.0 4.12731E-02 3.98159E-02 1.16383E-03 4.09798E-02 2.81417E-02 0.028198 6 4 40.0 45.0 135.0 4.51299E-02 4.00811E-02 1.26225E-03 4.13434E-02 2.83292E-02 0.027969 6 7 40.0 90.0 90.0 6.33617E-02 4.07674E-02 1.82952E-03 4.25969E-02 2.88142E-02 0.028874 5 1 50.0 0.0 180.0 4.32735E-02 4.04435E-02 1.83845E-03 4.22820E-02 2.85853E-02 0.042485 5 4 50.0 45.0 135.0 4.61137E-02 4.05440E-02 1.91533E-03 4.24593E-02 2.86563E-02 0.041535 5 7 50.0 90.0 90.0 6.12966E-02 4.14235E-02 2.47616E-03 4.38997E-02 2.92779E-02 0.040396 4 1 60.0 0.0 180.0 5.13663E-02 3.99478E-02 4.28275E-03 4.42305E-02 2.82349E-02 0.083377 4 4 60.0 45.0 135.0 5.25288E-02 4.00291E-02 4.22913E-03 4.42583E-02 2.82924E-02 0.080511 4 7 60.0 90.0 90.0 6.48662E-02 4.14910E-02 4.93867E-03 4.64297E-02 2.93256E-02 0.076136 3 1 70.0 0.0 180.0 7.12711E-02 3.70608E-02 1.18301E-02 4.88908E-02 2.61944E-02 0.165987 3 4 70.0 45.0 135.0 6.92651E-02 3.75454E-02 1.13827E-02 4.89281E-02 2.65369E-02 0.164336 3 7 70.0 90.0 90.0 7.74367E-02 3.89385E-02 1.23782E-02 5.13167E-02 2.75215E-02 0.159849 2 1 80.0 0.0 180.0 1.21091E-01 3.16795E-02 2.94061E-02 6.10855E-02 2.23909E-02 0.242843 2 4 80.0 45.0 135.0 1.12128E-01 3.20089E-02 2.84418E-02 6.04506E-02 2.26237E-02 0.253655 2 7 80.0 90.0 90.0 1.11400E-01 3.32041E-02 2.97863E-02 6.29903E-02 2.34685E-02 0.267382 1 1 87.5 0.0 180.0 1.95781E-01 2.53824E-02 5.18617E-02 7.72441E-02 1.79401E-02 0.264896 1 4 87.5 45.0 135.0 1.76277E-01 2.44077E-02 5.15415E-02 7.59492E-02 1.72512E-02 0.292389 1 7 87.5 90.0 90.0 1.60373E-01 2.79664E-02 5.27493E-02 8.07157E-02 1.97665E-02 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 4.624E-02 1.035E-01 1.365E-01 1.205E-01 1.753E-01 3.268E-02 3.735E+00 3.835E-02 2.711E-02 1 0.00 0.00 7.113E-02 1.939E-01 1.158E-01 1.311E-01 1.604E-01 4.682E-02 3.894E+00 3 17.39 5.00 9.041E-03 9.146E-02 2.360E-02 2.460E-02 2.582E-02 4.836E-02 4.405E+00 5 34.77 10.00 9.429E-04 9.314E-03 2.578E-03 2.586E-03 2.595E-03 4.836E-02 4.413E+00 7 52.16 15.00 9.803E-05 9.681E-04 2.689E-04 2.690E-04 2.690E-04 4.835E-02 4.413E+00 9 69.54 20.00 1.019E-05 1.007E-04 2.796E-05 2.797E-05 2.797E-05 4.835E-02 4.413E+00 Waveband 23 of 40 completed in 15.1 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 25.9 m at 585.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 580.0 nm to 590.0 nm: Ed(diffuse) = 3.707E-01 Ed(direct) = 1.010E+00 Ed(total) = 1.381E+00 Absorption Coefficients of Individual Components at 585.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1100 0.0162 0.0016 0.0724 0.2001 3 17.262 5.000 0.1100 0.0162 0.0016 0.0724 0.2001 5 34.525 10.000 0.1100 0.0162 0.0016 0.0724 0.2001 7 51.787 15.000 0.1100 0.0162 0.0016 0.0724 0.2001 9 69.050 20.000 0.1100 0.0162 0.0016 0.0724 0.2001 Scattering Coefficients of Individual Components at 585.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0015 0.4592 0.0000 2.7917 3.2523 3 17.262 5.000 0.0015 0.4592 0.0000 2.7917 3.2523 5 34.525 10.000 0.0015 0.4592 0.0000 2.7917 3.2523 7 51.787 15.000 0.0015 0.4592 0.0000 2.7917 3.2523 9 69.050 20.000 0.0015 0.4592 0.0000 2.7917 3.2523 Backscattering Coefficients of Individual Components at 585.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00073 0.00459 0.00000 0.08375 0.08908 3 17.262 5.000 0.00073 0.00459 0.00000 0.08375 0.08908 5 34.525 10.000 0.00073 0.00459 0.00000 0.08375 0.08908 7 51.787 15.000 0.00073 0.00459 0.00000 0.08375 0.08908 9 69.050 20.000 0.00073 0.00459 0.00000 0.08375 0.08908 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 0.2001 3.2523 3.4525 0.9420 0.08908 0.02739 3 17.262 5.000 0.2001 3.2523 3.4525 0.9420 0.08908 0.02739 5 34.525 10.000 0.2001 3.2523 3.4525 0.9420 0.08908 0.02739 7 51.787 15.000 0.2001 3.2523 3.4525 0.9420 0.08908 0.02739 9 69.050 20.000 0.2001 3.2523 3.4525 0.9420 0.08908 0.02739 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.7353E-01 8 20.00 9.0627E-01 7 30.00 8.0788E-01 6 40.00 6.9337E-01 5 50.00 5.7693E-01 4 60.00 4.6925E-01 3 70.00 3.7646E-01 2 80.00 3.0117E-01 1 87.50 2.5426E-01 1 92.50 2.2516E-01 2 100.00 1.9199E-01 3 110.00 1.5815E-01 4 120.00 1.3271E-01 5 130.00 1.1410E-01 6 140.00 1.0075E-01 7 150.00 9.1467E-02 8 160.00 8.5388E-02 9 170.00 8.1946E-02 10 180.00 8.0710E-02 Asymptotic AOP values are MUu(inf) = 0.4125 MUd(inf) = 0.6146 MU(inf) = 0.3952 R(inf) = 0.1823 Lu(inf)/Ed(inf) = 0.040286 (1/sr) k(inf) = 0.5064 (1/m) absorp(check) = 0.2001 = 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 3.2125E-01 1.9161E+00 2.2373E+00 1.4614E-01 1.3808E+00 0.4549 0.7207 0.5519 1.0584E-01 1 0.00 0.00 4.9702E-01 1.8808E+00 2.3778E+00 2.2354E-01 1.4582E+00 0.4498 0.7753 0.5192 1.5330E-01 3 17.26 5.00 6.1205E-02 2.2532E-01 2.8653E-01 2.5277E-02 1.3893E-01 0.4130 0.6166 0.3967 1.8193E-01 5 34.52 10.00 4.8993E-03 1.8036E-02 2.2935E-02 2.0209E-03 1.1085E-02 0.4125 0.6146 0.3952 1.8231E-01 7 51.79 15.00 3.8962E-04 1.4345E-03 1.8241E-03 1.6071E-04 8.8159E-04 0.4125 0.6146 0.3952 1.8229E-01 9 69.05 20.00 3.0979E-05 1.1406E-04 1.4504E-04 1.2778E-05 7.0103E-05 0.4125 0.6146 0.3952 1.8228E-01 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 0.22930 0.32291 0.30334 0.22195 0.36005 0.38507 0.31990 5.000 5.010 5.005 0.50103 0.50120 0.50116 0.50197 0.50383 0.50424 0.50348 10.000 10.010 10.005 0.50624 0.50621 0.50621 0.50627 0.50627 0.50626 0.50631 15.000 15.010 15.005 0.50637 0.50636 0.50636 0.50637 0.50634 0.50634 0.50637 20.000 20.010 20.005 0.50636 0.50636 0.50636 0.50636 0.50636 0.50636 0.50636 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 3.04694E-02 7.69050E-03 3.81599E-02 2.20664E-02 0.076891 9 1 10.0 0.0 180.0 6.17156E-02 3.06855E-02 2.25150E-03 3.29370E-02 2.22228E-02 0.036482 9 4 10.0 45.0 135.0 6.78088E-02 3.06514E-02 2.61562E-03 3.32670E-02 2.21981E-02 0.038573 9 7 10.0 90.0 90.0 9.16153E-02 3.08166E-02 5.52507E-03 3.63417E-02 2.23178E-02 0.060307 8 1 20.0 0.0 180.0 4.84768E-02 3.09159E-02 1.18545E-03 3.21013E-02 2.23897E-02 0.024454 8 4 20.0 45.0 135.0 5.39677E-02 3.07669E-02 1.39915E-03 3.21660E-02 2.22818E-02 0.025926 8 7 20.0 90.0 90.0 7.93569E-02 3.11088E-02 3.21226E-03 3.43211E-02 2.25294E-02 0.040479 7 1 30.0 0.0 180.0 4.20320E-02 3.13607E-02 1.01180E-03 3.23725E-02 2.27118E-02 0.024072 7 4 30.0 45.0 135.0 4.66016E-02 3.15376E-02 1.13680E-03 3.26744E-02 2.28400E-02 0.024394 7 7 30.0 90.0 90.0 6.79461E-02 3.18725E-02 1.97553E-03 3.38480E-02 2.30825E-02 0.029075 6 1 40.0 0.0 180.0 3.98963E-02 3.17467E-02 1.12500E-03 3.28717E-02 2.29914E-02 0.028198 6 4 40.0 45.0 135.0 4.36245E-02 3.19493E-02 1.22014E-03 3.31694E-02 2.31381E-02 0.027969 6 7 40.0 90.0 90.0 6.12481E-02 3.24983E-02 1.76869E-03 3.42669E-02 2.35357E-02 0.028878 5 1 50.0 0.0 180.0 4.18299E-02 3.22945E-02 1.77713E-03 3.40716E-02 2.33881E-02 0.042485 5 4 50.0 45.0 135.0 4.45754E-02 3.23673E-02 1.85144E-03 3.42187E-02 2.34408E-02 0.041535 5 7 50.0 90.0 90.0 5.92518E-02 3.30846E-02 2.39356E-03 3.54781E-02 2.39603E-02 0.040396 4 1 60.0 0.0 180.0 4.96528E-02 3.19486E-02 4.13988E-03 3.60884E-02 2.31376E-02 0.083377 4 4 60.0 45.0 135.0 5.07765E-02 3.20085E-02 4.08806E-03 3.60965E-02 2.31810E-02 0.080511 4 7 60.0 90.0 90.0 6.27023E-02 3.32078E-02 4.77392E-03 3.79817E-02 2.40495E-02 0.076136 3 1 70.0 0.0 180.0 6.88936E-02 2.96955E-02 1.14355E-02 4.11310E-02 2.15059E-02 0.165987 3 4 70.0 45.0 135.0 6.69545E-02 3.00833E-02 1.10030E-02 4.10863E-02 2.17867E-02 0.164336 3 7 70.0 90.0 90.0 7.48536E-02 3.12491E-02 1.19653E-02 4.32144E-02 2.26310E-02 0.159849 2 1 80.0 0.0 180.0 1.17051E-01 2.54296E-02 2.84251E-02 5.38547E-02 1.84165E-02 0.242843 2 4 80.0 45.0 135.0 1.08387E-01 2.56981E-02 2.74930E-02 5.31911E-02 1.86109E-02 0.253655 2 7 80.0 90.0 90.0 1.07684E-01 2.67157E-02 2.87926E-02 5.55083E-02 1.93478E-02 0.267382 1 1 87.5 0.0 180.0 1.89250E-01 2.04130E-02 5.01317E-02 7.05446E-02 1.47833E-02 0.264896 1 4 87.5 45.0 135.0 1.70397E-01 1.96350E-02 4.98221E-02 6.94572E-02 1.42199E-02 0.292389 1 7 87.5 90.0 90.0 1.55023E-01 2.25631E-02 5.09897E-02 7.35528E-02 1.63405E-02 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 3.816E-02 1.000E-01 1.299E-01 1.143E-01 1.672E-01 2.764E-02 3.830E+00 3.047E-02 2.207E-02 1 0.00 0.00 5.651E-02 1.872E-01 9.426E-02 1.077E-01 1.344E-01 3.875E-02 3.956E+00 3 17.26 5.00 5.598E-03 7.109E-02 1.571E-02 1.647E-02 1.742E-02 4.030E-02 4.515E+00 5 34.52 10.00 4.467E-04 5.536E-03 1.321E-03 1.326E-03 1.332E-03 4.030E-02 4.524E+00 7 51.79 15.00 3.552E-05 4.400E-04 1.055E-04 1.055E-04 1.055E-04 4.029E-02 4.524E+00 9 69.05 20.00 2.825E-06 3.499E-05 8.388E-06 8.388E-06 8.389E-06 4.029E-02 4.524E+00 Waveband 24 of 40 completed in 15.2 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 25.9 m at 595.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 590.0 nm to 600.0 nm: Ed(diffuse) = 3.536E-01 Ed(direct) = 9.762E-01 Ed(total) = 1.330E+00 Absorption Coefficients of Individual Components at 595.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1672 0.0144 0.0014 0.0643 0.2473 3 17.259 5.000 0.1672 0.0144 0.0014 0.0643 0.2473 5 34.517 10.000 0.1672 0.0144 0.0014 0.0643 0.2473 7 51.776 15.000 0.1672 0.0144 0.0014 0.0643 0.2473 9 69.034 20.000 0.1672 0.0144 0.0014 0.0643 0.2473 Scattering Coefficients of Individual Components at 595.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0014 0.4515 0.0000 2.7516 3.2044 3 17.259 5.000 0.0014 0.4515 0.0000 2.7516 3.2044 5 34.517 10.000 0.0014 0.4515 0.0000 2.7516 3.2044 7 51.776 15.000 0.0014 0.4515 0.0000 2.7516 3.2044 9 69.034 20.000 0.0014 0.4515 0.0000 2.7516 3.2044 Backscattering Coefficients of Individual Components at 595.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00068 0.00451 0.00000 0.08255 0.08774 3 17.259 5.000 0.00068 0.00451 0.00000 0.08255 0.08774 5 34.517 10.000 0.00068 0.00451 0.00000 0.08255 0.08774 7 51.776 15.000 0.00068 0.00451 0.00000 0.08255 0.08774 9 69.034 20.000 0.00068 0.00451 0.00000 0.08255 0.08774 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 0.2473 3.2044 3.4517 0.9284 0.08774 0.02738 3 17.259 5.000 0.2473 3.2044 3.4517 0.9284 0.08774 0.02738 5 34.517 10.000 0.2473 3.2044 3.4517 0.9284 0.08774 0.02738 7 51.776 15.000 0.2473 3.2044 3.4517 0.9284 0.08774 0.02738 9 69.034 20.000 0.2473 3.2044 3.4517 0.9284 0.08774 0.02738 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.6994E-01 8 20.00 8.9413E-01 7 30.00 7.8481E-01 6 40.00 6.6017E-01 5 50.00 5.3659E-01 4 60.00 4.2552E-01 3 70.00 3.3267E-01 2 80.00 2.5961E-01 1 87.50 2.1532E-01 1 92.50 1.8842E-01 2 100.00 1.5826E-01 3 110.00 1.2814E-01 4 120.00 1.0602E-01 5 130.00 9.0163E-02 6 140.00 7.8992E-02 7 150.00 7.1334E-02 8 160.00 6.6374E-02 9 170.00 6.3586E-02 10 180.00 6.2588E-02 Asymptotic AOP values are MUu(inf) = 0.4059 MUd(inf) = 0.6278 MU(inf) = 0.4305 R(inf) = 0.1525 Lu(inf)/Ed(inf) = 0.032882 (1/sr) k(inf) = 0.5744 (1/m) absorp(check) = 0.2473 = 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 2.7246E-01 1.8424E+00 2.1149E+00 1.2154E-01 1.3298E+00 0.4461 0.7218 0.5713 9.1400E-02 1 0.00 0.00 3.9232E-01 1.7430E+00 2.1353E+00 1.7473E-01 1.3829E+00 0.4454 0.7934 0.5658 1.2635E-01 3 17.26 5.00 3.5562E-02 1.5074E-01 1.8630E-01 1.4454E-02 9.4940E-02 0.4064 0.6298 0.4320 1.5225E-01 5 34.52 10.00 2.0275E-03 8.5912E-03 1.0619E-02 8.2307E-04 5.3933E-03 0.4060 0.6278 0.4304 1.5261E-01 7 51.78 15.00 1.1478E-04 4.8640E-04 6.0118E-04 4.6592E-05 3.0533E-04 0.4059 0.6277 0.4304 1.5259E-01 9 69.03 20.00 6.4960E-06 2.7531E-05 3.4027E-05 2.6370E-06 1.7282E-05 0.4059 0.6277 0.4304 1.5258E-01 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 0.23510 0.32625 0.30950 0.25076 0.41330 0.43682 0.36739 5.000 5.010 5.005 0.56862 0.56901 0.56893 0.56958 0.57162 0.57199 0.57116 10.000 10.010 10.005 0.57422 0.57419 0.57420 0.57424 0.57424 0.57424 0.57428 15.000 15.010 15.005 0.57435 0.57433 0.57433 0.57436 0.57433 0.57432 0.57436 20.000 20.010 20.005 0.57432 0.57434 0.57434 0.57430 0.57435 0.57435 0.57423 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 2.34368E-02 7.40045E-03 3.08372E-02 1.76244E-02 0.077552 9 1 10.0 0.0 180.0 5.88819E-02 2.36213E-02 2.15659E-03 2.57778E-02 1.77631E-02 0.036626 9 4 10.0 45.0 135.0 6.46953E-02 2.35902E-02 2.50641E-03 2.60966E-02 1.77398E-02 0.038742 9 7 10.0 90.0 90.0 8.74087E-02 2.37081E-02 5.31041E-03 2.90185E-02 1.78284E-02 0.060754 8 1 20.0 0.0 180.0 4.62509E-02 2.38172E-02 1.13145E-03 2.49486E-02 1.79105E-02 0.024463 8 4 20.0 45.0 135.0 5.14897E-02 2.36940E-02 1.33602E-03 2.50300E-02 1.78178E-02 0.025947 8 7 20.0 90.0 90.0 7.57132E-02 2.39437E-02 3.07961E-03 2.70233E-02 1.80056E-02 0.040675 7 1 30.0 0.0 180.0 4.01020E-02 2.41812E-02 9.65346E-04 2.51465E-02 1.81842E-02 0.024072 7 4 30.0 45.0 135.0 4.44621E-02 2.43059E-02 1.08466E-03 2.53906E-02 1.82780E-02 0.024395 7 7 30.0 90.0 90.0 6.48243E-02 2.45480E-02 1.88774E-03 2.64357E-02 1.84600E-02 0.029121 6 1 40.0 0.0 180.0 3.80644E-02 2.45117E-02 1.07335E-03 2.55851E-02 1.84328E-02 0.028198 6 4 40.0 45.0 135.0 4.16214E-02 2.46541E-02 1.16411E-03 2.58182E-02 1.85398E-02 0.027969 6 7 40.0 90.0 90.0 5.84358E-02 2.50645E-02 1.68767E-03 2.67521E-02 1.88484E-02 0.028881 5 1 50.0 0.0 180.0 3.99093E-02 2.49693E-02 1.69553E-03 2.66648E-02 1.87768E-02 0.042485 5 4 50.0 45.0 135.0 4.25287E-02 2.50117E-02 1.76643E-03 2.67781E-02 1.88087E-02 0.041535 5 7 50.0 90.0 90.0 5.65312E-02 2.55622E-02 2.28366E-03 2.78458E-02 1.92227E-02 0.040396 4 1 60.0 0.0 180.0 4.73729E-02 2.47386E-02 3.94979E-03 2.86884E-02 1.86033E-02 0.083377 4 4 60.0 45.0 135.0 4.84450E-02 2.47726E-02 3.90035E-03 2.86729E-02 1.86289E-02 0.080511 4 7 60.0 90.0 90.0 5.98232E-02 2.57087E-02 4.55472E-03 3.02635E-02 1.93329E-02 0.076136 3 1 70.0 0.0 180.0 6.57303E-02 2.30368E-02 1.09104E-02 3.39472E-02 1.73236E-02 0.165987 3 4 70.0 45.0 135.0 6.38802E-02 2.33294E-02 1.04978E-02 3.38272E-02 1.75436E-02 0.164336 3 7 70.0 90.0 90.0 7.14166E-02 2.42588E-02 1.14159E-02 3.56747E-02 1.82426E-02 0.159849 2 1 80.0 0.0 180.0 1.11677E-01 1.97636E-02 2.71199E-02 4.68835E-02 1.48621E-02 0.242843 2 4 80.0 45.0 135.0 1.03410E-01 1.99689E-02 2.62306E-02 4.61995E-02 1.50165E-02 0.253655 2 7 80.0 90.0 90.0 1.02739E-01 2.07948E-02 2.74706E-02 4.82654E-02 1.56376E-02 0.267382 1 1 87.5 0.0 180.0 1.80561E-01 1.58958E-02 4.78298E-02 6.37256E-02 1.19536E-02 0.264896 1 4 87.5 45.0 135.0 1.62573E-01 1.52899E-02 4.75345E-02 6.28244E-02 1.14980E-02 0.292389 1 7 87.5 90.0 90.0 1.47905E-01 1.76142E-02 4.86484E-02 6.62626E-02 1.32458E-02 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 3.084E-02 9.543E-02 1.221E-01 1.071E-01 1.575E-01 2.319E-02 3.941E+00 2.344E-02 1.762E-02 1 0.00 0.00 4.346E-02 1.784E-01 7.444E-02 8.596E-02 1.095E-01 3.143E-02 4.020E+00 3 17.26 5.00 3.124E-03 5.110E-02 9.455E-03 9.971E-03 1.062E-02 3.290E-02 4.627E+00 5 34.52 10.00 1.775E-04 2.835E-03 5.694E-04 5.722E-04 5.751E-04 3.292E-02 4.636E+00 7 51.78 15.00 1.005E-05 1.604E-04 3.238E-05 3.240E-05 3.241E-05 3.291E-02 4.637E+00 9 69.03 20.00 5.687E-07 9.079E-06 1.833E-06 1.834E-06 1.834E-06 3.291E-02 4.637E+00 Waveband 25 of 40 completed in 15.4 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 25.9 m at 605.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 600.0 nm to 610.0 nm: Ed(diffuse) = 3.601E-01 Ed(direct) = 1.006E+00 Ed(total) = 1.366E+00 Absorption Coefficients of Individual Components at 605.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2577 0.0162 0.0012 0.0724 0.3475 3 17.449 5.000 0.2577 0.0162 0.0012 0.0724 0.3475 5 34.897 10.000 0.2577 0.0162 0.0012 0.0724 0.3475 7 52.346 15.000 0.2577 0.0162 0.0012 0.0724 0.3475 9 69.795 20.000 0.2577 0.0162 0.0012 0.0724 0.3475 Scattering Coefficients of Individual Components at 605.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0013 0.4440 0.0000 2.6970 3.1423 3 17.449 5.000 0.0013 0.4440 0.0000 2.6970 3.1423 5 34.897 10.000 0.0013 0.4440 0.0000 2.6970 3.1423 7 52.346 15.000 0.0013 0.4440 0.0000 2.6970 3.1423 9 69.795 20.000 0.0013 0.4440 0.0000 2.6970 3.1423 Backscattering Coefficients of Individual Components at 605.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00063 0.00444 0.00000 0.08091 0.08598 3 17.449 5.000 0.00063 0.00444 0.00000 0.08091 0.08598 5 34.897 10.000 0.00063 0.00444 0.00000 0.08091 0.08598 7 52.346 15.000 0.00063 0.00444 0.00000 0.08091 0.08598 9 69.795 20.000 0.00063 0.00444 0.00000 0.08091 0.08598 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 0.3475 3.1423 3.4897 0.9004 0.08598 0.02736 3 17.449 5.000 0.3475 3.1423 3.4897 0.9004 0.08598 0.02736 5 34.897 10.000 0.3475 3.1423 3.4897 0.9004 0.08598 0.02736 7 52.346 15.000 0.3475 3.1423 3.4897 0.9004 0.08598 0.02736 9 69.795 20.000 0.3475 3.1423 3.4897 0.9004 0.08598 0.02736 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.6309E-01 8 20.00 8.7130E-01 7 30.00 7.4260E-01 6 40.00 6.0147E-01 5 50.00 4.6804E-01 4 60.00 3.5434E-01 3 70.00 2.6447E-01 2 80.00 1.9754E-01 1 87.50 1.5892E-01 1 92.50 1.3633E-01 2 100.00 1.1168E-01 3 110.00 8.7946E-02 4 120.00 7.1191E-02 5 130.00 5.9590E-02 6 140.00 5.1651E-02 7 150.00 4.6336E-02 8 160.00 4.2955E-02 9 170.00 4.1079E-02 10 180.00 4.0410E-02 Asymptotic AOP values are MUu(inf) = 0.3959 MUd(inf) = 0.6513 MU(inf) = 0.4887 R(inf) = 0.1118 Lu(inf)/Ed(inf) = 0.023287 (1/sr) k(inf) = 0.7110 (1/m) absorp(check) = 0.3475 = 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 2.3241E-01 1.8895E+00 2.1219E+00 1.0020E-01 1.3657E+00 0.4311 0.7228 0.5964 7.3371E-02 1 0.00 0.00 2.8891E-01 1.6994E+00 1.9883E+00 1.2651E-01 1.3919E+00 0.4379 0.8191 0.6365 9.0887E-02 3 17.45 5.00 1.3830E-02 7.5178E-02 8.9009E-02 5.4844E-03 4.9103E-02 0.3965 0.6532 0.4900 1.1169E-01 5 34.90 10.00 3.9943E-04 2.1669E-03 2.5663E-03 1.5825E-04 1.4109E-03 0.3962 0.6511 0.4881 1.1216E-01 7 52.35 15.00 1.1476E-05 6.2133E-05 7.3609E-05 4.5484E-06 4.0445E-05 0.3963 0.6509 0.4877 1.1246E-01 9 69.79 20.00 3.3133E-07 1.7872E-06 2.1186E-06 1.3143E-07 1.1630E-06 0.3967 0.6507 0.4869 1.1300E-01 K-functions (units of 1/meter) at 605.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.26204 0.36918 0.35360 0.32074 0.52551 0.54601 0.47020 5.000 5.010 5.005 0.70464 0.70550 0.70536 0.70554 0.70793 0.70823 0.70704 10.000 10.010 10.005 0.71010 0.71041 0.71036 0.71006 0.71049 0.71055 0.70997 15.000 15.010 15.005 0.70967 0.71019 0.71011 0.70957 0.71024 0.71033 0.70935 20.000 20.010 20.005 0.70838 0.70959 0.70940 0.70801 0.70968 0.70989 0.70686 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 1.65753E-02 7.59453E-03 2.41698E-02 1.21372E-02 0.078167 9 1 10.0 0.0 180.0 5.99505E-02 1.67362E-02 2.20375E-03 1.89400E-02 1.22550E-02 0.036759 9 4 10.0 45.0 135.0 6.58694E-02 1.67046E-02 2.56222E-03 1.92669E-02 1.22319E-02 0.038899 9 7 10.0 90.0 90.0 8.89950E-02 1.67677E-02 5.44376E-03 2.22115E-02 1.22781E-02 0.061169 8 1 20.0 0.0 180.0 4.70903E-02 1.68969E-02 1.15239E-03 1.80493E-02 1.23727E-02 0.024472 8 4 20.0 45.0 135.0 5.24241E-02 1.67931E-02 1.36131E-03 1.81545E-02 1.22967E-02 0.025967 8 7 20.0 90.0 90.0 7.70872E-02 1.69385E-02 3.14956E-03 2.00880E-02 1.24031E-02 0.040857 7 1 30.0 0.0 180.0 4.08298E-02 1.71771E-02 9.82865E-04 1.81600E-02 1.25779E-02 0.024072 7 4 30.0 45.0 135.0 4.52693E-02 1.72429E-02 1.10439E-03 1.83473E-02 1.26260E-02 0.024396 7 7 30.0 90.0 90.0 6.59988E-02 1.73743E-02 1.92477E-03 1.92990E-02 1.27222E-02 0.029164 6 1 40.0 0.0 180.0 3.87552E-02 1.74418E-02 1.09282E-03 1.85346E-02 1.27716E-02 0.028198 6 4 40.0 45.0 135.0 4.23767E-02 1.75146E-02 1.18524E-03 1.86998E-02 1.28250E-02 0.027969 6 7 40.0 90.0 90.0 5.94963E-02 1.77627E-02 1.71848E-03 1.94812E-02 1.30066E-02 0.028884 5 1 50.0 0.0 180.0 4.06335E-02 1.77983E-02 1.72630E-03 1.95246E-02 1.30327E-02 0.042485 5 4 50.0 45.0 135.0 4.33005E-02 1.77985E-02 1.79848E-03 1.95970E-02 1.30329E-02 0.041535 5 7 50.0 90.0 90.0 5.75571E-02 1.81539E-02 2.32510E-03 2.04790E-02 1.32931E-02 0.040396 4 1 60.0 0.0 180.0 4.82326E-02 1.76675E-02 4.02147E-03 2.16890E-02 1.29369E-02 0.083377 4 4 60.0 45.0 135.0 4.93242E-02 1.76622E-02 3.97113E-03 2.16334E-02 1.29331E-02 0.080511 4 7 60.0 90.0 90.0 6.09089E-02 1.83048E-02 4.63738E-03 2.29422E-02 1.34036E-02 0.076136 3 1 70.0 0.0 180.0 6.69231E-02 1.64943E-02 1.11084E-02 2.76026E-02 1.20778E-02 0.165987 3 4 70.0 45.0 135.0 6.50395E-02 1.66792E-02 1.06883E-02 2.73675E-02 1.22132E-02 0.164336 3 7 70.0 90.0 90.0 7.27126E-02 1.73404E-02 1.16230E-02 2.89635E-02 1.26974E-02 0.159849 2 1 80.0 0.0 180.0 1.13703E-01 1.41876E-02 2.76121E-02 4.17997E-02 1.03888E-02 0.242843 2 4 80.0 45.0 135.0 1.05287E-01 1.43180E-02 2.67066E-02 4.10246E-02 1.04843E-02 0.253655 2 7 80.0 90.0 90.0 1.04604E-01 1.49235E-02 2.79691E-02 4.28926E-02 1.09277E-02 0.267382 1 1 87.5 0.0 180.0 1.83838E-01 1.14450E-02 4.86978E-02 6.01428E-02 8.38057E-03 0.264896 1 4 87.5 45.0 135.0 1.65523E-01 1.09988E-02 4.83971E-02 5.93960E-02 8.05383E-03 0.292389 1 7 87.5 90.0 90.0 1.50590E-01 1.26999E-02 4.95313E-02 6.22312E-02 9.29942E-03 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 605.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 2.417E-02 9.716E-02 1.220E-01 1.064E-01 1.575E-01 1.770E-02 4.146E+00 1.658E-02 1.214E-02 1 0.00 0.00 3.074E-02 1.814E-01 5.501E-02 6.452E-02 8.511E-02 2.208E-02 4.116E+00 3 17.45 5.00 1.146E-03 2.890E-02 3.887E-03 4.136E-03 4.454E-03 2.334E-02 4.785E+00 5 34.90 10.00 3.302E-05 8.132E-04 1.195E-04 1.202E-04 1.210E-04 2.340E-02 4.793E+00 7 52.35 15.00 9.498E-07 2.329E-05 3.450E-06 3.452E-06 3.454E-06 2.348E-02 4.789E+00 9 69.79 20.00 2.750E-08 6.691E-07 9.950E-08 9.951E-08 9.951E-08 2.364E-02 4.779E+00 Waveband 26 of 40 completed in 15.8 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 25.9 m at 615.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 610.0 nm to 620.0 nm: Ed(diffuse) = 3.486E-01 Ed(direct) = 9.845E-01 Ed(total) = 1.333E+00 Absorption Coefficients of Individual Components at 615.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2678 0.0156 0.0010 0.0697 0.3541 3 17.234 5.000 0.2678 0.0156 0.0010 0.0697 0.3541 5 34.468 10.000 0.2678 0.0156 0.0010 0.0697 0.3541 7 51.701 15.000 0.2678 0.0156 0.0010 0.0697 0.3541 9 68.935 20.000 0.2678 0.0156 0.0010 0.0697 0.3541 Scattering Coefficients of Individual Components at 615.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0012 0.4368 0.0000 2.6547 3.0926 3 17.234 5.000 0.0012 0.4368 0.0000 2.6547 3.0926 5 34.468 10.000 0.0012 0.4368 0.0000 2.6547 3.0926 7 51.701 15.000 0.0012 0.4368 0.0000 2.6547 3.0926 9 68.935 20.000 0.0012 0.4368 0.0000 2.6547 3.0926 Backscattering Coefficients of Individual Components at 615.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00059 0.00437 0.00000 0.07964 0.08460 3 17.234 5.000 0.00059 0.00437 0.00000 0.07964 0.08460 5 34.468 10.000 0.00059 0.00437 0.00000 0.07964 0.08460 7 51.701 15.000 0.00059 0.00437 0.00000 0.07964 0.08460 9 68.935 20.000 0.00059 0.00437 0.00000 0.07964 0.08460 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 0.3541 3.0926 3.4468 0.8973 0.08460 0.02735 3 17.234 5.000 0.3541 3.0926 3.4468 0.8973 0.08460 0.02735 5 34.468 10.000 0.3541 3.0926 3.4468 0.8973 0.08460 0.02735 7 51.701 15.000 0.3541 3.0926 3.4468 0.8973 0.08460 0.02735 9 68.935 20.000 0.3541 3.0926 3.4468 0.8973 0.08460 0.02735 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.6234E-01 8 20.00 8.6883E-01 7 30.00 7.3812E-01 6 40.00 5.9539E-01 5 50.00 4.6114E-01 4 60.00 3.4741E-01 3 70.00 2.5803E-01 2 80.00 1.9186E-01 1 87.50 1.5387E-01 1 92.50 1.3174E-01 2 100.00 1.0765E-01 3 110.00 8.4548E-02 4 120.00 6.8299E-02 5 130.00 5.7088E-02 6 140.00 4.9438E-02 7 150.00 4.4327E-02 8 160.00 4.1083E-02 9 170.00 3.9284E-02 10 180.00 3.8644E-02 Asymptotic AOP values are MUu(inf) = 0.3950 MUd(inf) = 0.6537 MU(inf) = 0.4944 R(inf) = 0.1082 Lu(inf)/Ed(inf) = 0.022486 (1/sr) k(inf) = 0.7163 (1/m) absorp(check) = 0.3541 = 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 2.2245E-01 1.8420E+00 2.0644E+00 9.5747E-02 1.3331E+00 0.4304 0.7237 0.5994 7.1822E-02 1 0.00 0.00 2.7269E-01 1.6512E+00 1.9239E+00 1.1921E-01 1.3565E+00 0.4372 0.8215 0.6431 8.7877E-02 3 17.23 5.00 1.2764E-02 7.1204E-02 8.3968E-02 5.0499E-03 4.6688E-02 0.3956 0.6557 0.4959 1.0816E-01 5 34.47 10.00 3.5944E-04 2.0004E-03 2.3598E-03 1.4208E-04 1.3074E-03 0.3953 0.6535 0.4938 1.0868E-01 7 51.70 15.00 1.0076E-05 5.5920E-05 6.5995E-05 3.9849E-06 3.6534E-05 0.3955 0.6533 0.4932 1.0907E-01 9 68.94 20.00 2.8396E-07 1.5677E-06 1.8517E-06 1.1242E-07 1.0238E-06 0.3959 0.6530 0.4922 1.0981E-01 K-functions (units of 1/meter) at 615.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.26181 0.37100 0.35551 0.32465 0.53085 0.55074 0.47538 5.000 5.010 5.005 0.70961 0.71057 0.71042 0.71051 0.71302 0.71333 0.71203 10.000 10.010 10.005 0.71515 0.71556 0.71550 0.71509 0.71566 0.71572 0.71497 15.000 15.010 15.005 0.71450 0.71525 0.71513 0.71434 0.71530 0.71542 0.71403 20.000 20.010 20.005 0.71291 0.71437 0.71415 0.71259 0.71450 0.71473 0.71189 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 1.55875E-02 7.40839E-03 2.29959E-02 1.16926E-02 0.078756 9 1 10.0 0.0 180.0 5.80437E-02 1.57421E-02 2.14110E-03 1.78832E-02 1.18085E-02 0.036888 9 4 10.0 45.0 135.0 6.37743E-02 1.57112E-02 2.49030E-03 1.82015E-02 1.17854E-02 0.039049 9 7 10.0 90.0 90.0 8.61644E-02 1.57681E-02 5.30490E-03 2.10730E-02 1.18281E-02 0.061567 8 1 20.0 0.0 180.0 4.55925E-02 1.58950E-02 1.11611E-03 1.70112E-02 1.19233E-02 0.024480 8 4 20.0 45.0 135.0 5.07567E-02 1.57955E-02 1.31899E-03 1.71145E-02 1.18486E-02 0.025986 8 7 20.0 90.0 90.0 7.46354E-02 1.59285E-02 3.06243E-03 1.89909E-02 1.19484E-02 0.041032 7 1 30.0 0.0 180.0 3.95312E-02 1.61602E-02 9.51604E-04 1.71119E-02 1.21222E-02 0.024072 7 4 30.0 45.0 135.0 4.38298E-02 1.62195E-02 1.06931E-03 1.72888E-02 1.21667E-02 0.024397 7 7 30.0 90.0 90.0 6.38979E-02 1.63382E-02 1.86611E-03 1.82043E-02 1.22557E-02 0.029205 6 1 40.0 0.0 180.0 3.75225E-02 1.64110E-02 1.05807E-03 1.74691E-02 1.23103E-02 0.028198 6 4 40.0 45.0 135.0 4.10289E-02 1.64762E-02 1.14754E-03 1.76237E-02 1.23592E-02 0.027969 6 7 40.0 90.0 90.0 5.76039E-02 1.67042E-02 1.66399E-03 1.83682E-02 1.25303E-02 0.028887 5 1 50.0 0.0 180.0 3.93411E-02 1.67482E-02 1.67139E-03 1.84196E-02 1.25633E-02 0.042485 5 4 50.0 45.0 135.0 4.19233E-02 1.67449E-02 1.74128E-03 1.84862E-02 1.25608E-02 0.041535 5 7 50.0 90.0 90.0 5.57265E-02 1.70745E-02 2.25115E-03 1.93256E-02 1.28080E-02 0.040396 4 1 60.0 0.0 180.0 4.66985E-02 1.66271E-02 3.89357E-03 2.05207E-02 1.24725E-02 0.083377 4 4 60.0 45.0 135.0 4.77554E-02 1.66186E-02 3.84482E-03 2.04635E-02 1.24661E-02 0.080511 4 7 60.0 90.0 90.0 5.89717E-02 1.72195E-02 4.48988E-03 2.17094E-02 1.29168E-02 0.076136 3 1 70.0 0.0 180.0 6.47946E-02 1.55257E-02 1.07551E-02 2.62808E-02 1.16463E-02 0.165987 3 4 70.0 45.0 135.0 6.29709E-02 1.56968E-02 1.03484E-02 2.60451E-02 1.17746E-02 0.164336 3 7 70.0 90.0 90.0 7.03999E-02 1.63175E-02 1.12534E-02 2.75709E-02 1.22402E-02 0.159849 2 1 80.0 0.0 180.0 1.10087E-01 1.33570E-02 2.67339E-02 4.00909E-02 1.00194E-02 0.242843 2 4 80.0 45.0 135.0 1.01938E-01 1.34776E-02 2.58572E-02 3.93348E-02 1.01099E-02 0.253655 2 7 80.0 90.0 90.0 1.01277E-01 1.40479E-02 2.70795E-02 4.11275E-02 1.05377E-02 0.267382 1 1 87.5 0.0 180.0 1.77990E-01 1.07776E-02 4.71489E-02 5.79265E-02 8.08454E-03 0.264896 1 4 87.5 45.0 135.0 1.60258E-01 1.03560E-02 4.68578E-02 5.72138E-02 7.76833E-03 0.292389 1 7 87.5 90.0 90.0 1.45800E-01 1.19598E-02 4.79559E-02 5.99157E-02 8.97137E-03 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 615.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 2.300E-02 9.407E-02 1.180E-01 1.029E-01 1.523E-01 1.725E-02 4.164E+00 1.559E-02 1.169E-02 1 0.00 0.00 2.891E-02 1.756E-01 5.194E-02 6.101E-02 8.078E-02 2.131E-02 4.124E+00 3 17.23 5.00 1.052E-03 2.776E-02 3.598E-03 3.839E-03 4.149E-03 2.254E-02 4.799E+00 5 34.47 10.00 2.957E-05 7.609E-04 1.081E-04 1.089E-04 1.096E-04 2.262E-02 4.806E+00 7 51.70 15.00 8.301E-07 2.124E-05 3.046E-06 3.048E-06 3.050E-06 2.272E-02 4.800E+00 9 68.94 20.00 2.347E-08 5.945E-07 8.571E-08 8.572E-08 8.573E-08 2.293E-02 4.789E+00 Waveband 27 of 40 completed in 15.6 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 25.9 m at 625.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 620.0 nm to 630.0 nm: Ed(diffuse) = 3.421E-01 Ed(direct) = 9.764E-01 Ed(total) = 1.319E+00 Absorption Coefficients of Individual Components at 625.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2834 0.0174 0.0009 0.0777 0.3794 3 17.067 5.000 0.2834 0.0174 0.0009 0.0777 0.3794 5 34.134 10.000 0.2834 0.0174 0.0009 0.0777 0.3794 7 51.200 15.000 0.2834 0.0174 0.0009 0.0777 0.3794 9 68.267 20.000 0.2834 0.0174 0.0009 0.0777 0.3794 Scattering Coefficients of Individual Components at 625.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0011 0.4298 0.0000 2.6030 3.0339 3 17.067 5.000 0.0011 0.4298 0.0000 2.6030 3.0339 5 34.134 10.000 0.0011 0.4298 0.0000 2.6030 3.0339 7 51.200 15.000 0.0011 0.4298 0.0000 2.6030 3.0339 9 68.267 20.000 0.0011 0.4298 0.0000 2.6030 3.0339 Backscattering Coefficients of Individual Components at 625.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00055 0.00430 0.00000 0.07809 0.08294 3 17.067 5.000 0.00055 0.00430 0.00000 0.07809 0.08294 5 34.134 10.000 0.00055 0.00430 0.00000 0.07809 0.08294 7 51.200 15.000 0.00055 0.00430 0.00000 0.07809 0.08294 9 68.267 20.000 0.00055 0.00430 0.00000 0.07809 0.08294 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 0.3794 3.0339 3.4134 0.8888 0.08294 0.02734 3 17.067 5.000 0.3794 3.0339 3.4134 0.8888 0.08294 0.02734 5 34.134 10.000 0.3794 3.0339 3.4134 0.8888 0.08294 0.02734 7 51.200 15.000 0.3794 3.0339 3.4134 0.8888 0.08294 0.02734 9 68.267 20.000 0.3794 3.0339 3.4134 0.8888 0.08294 0.02734 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.6036E-01 8 20.00 8.6235E-01 7 30.00 7.2643E-01 6 40.00 5.7968E-01 5 50.00 4.4352E-01 4 60.00 3.2988E-01 3 70.00 2.4195E-01 2 80.00 1.7782E-01 1 87.50 1.4148E-01 1 92.50 1.2053E-01 2 100.00 9.7881E-02 3 110.00 7.6356E-02 4 120.00 6.1371E-02 5 130.00 5.1121E-02 6 140.00 4.4177E-02 7 150.00 3.9566E-02 8 160.00 3.6651E-02 9 170.00 3.5041E-02 10 180.00 3.4468E-02 Asymptotic AOP values are MUu(inf) = 0.3927 MUd(inf) = 0.6600 MU(inf) = 0.5090 R(inf) = 0.0997 Lu(inf)/Ed(inf) = 0.020570 (1/sr) k(inf) = 0.7455 (1/m) absorp(check) = 0.3794 = 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 2.1059E-01 1.8196E+00 2.0302E+00 9.0007E-02 1.3185E+00 0.4274 0.7246 0.6051 6.8263E-02 1 0.00 0.00 2.4770E-01 1.6154E+00 1.8631E+00 1.0782E-01 1.3363E+00 0.4353 0.8272 0.6594 8.0684E-02 3 17.07 5.00 1.0099E-02 6.0220E-02 7.0319E-02 3.9732E-03 3.9868E-02 0.3934 0.6620 0.5105 9.9659E-02 5 34.13 10.00 2.4631E-04 1.4631E-03 1.7094E-03 9.6843E-05 9.6531E-04 0.3932 0.6598 0.5081 1.0032E-01 7 51.20 15.00 6.0043E-06 3.5426E-05 4.1430E-05 2.3640E-06 2.3358E-05 0.3937 0.6594 0.5067 1.0121E-01 9 68.27 20.00 1.4899E-07 8.6501E-07 1.0140E-06 5.8861E-08 5.6959E-07 0.3951 0.6585 0.5037 1.0334E-01 K-functions (units of 1/meter) at 625.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.27070 0.38544 0.37018 0.34323 0.55688 0.57565 0.50003 5.000 5.010 5.005 0.73841 0.73958 0.73941 0.73930 0.74209 0.74240 0.74081 10.000 10.010 10.005 0.74366 0.74453 0.74440 0.74350 0.74465 0.74478 0.74317 15.000 15.010 15.005 0.74155 0.74356 0.74327 0.74114 0.74375 0.74405 0.74026 20.000 20.010 20.005 0.73602 0.74099 0.74026 0.73490 0.74140 0.74215 0.73229 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 625.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 9.23208E-02 1.40283E-02 7.32262E-03 2.13509E-02 1.06394E-02 0.079317 9 1 10.0 0.0 180.0 5.69657E-02 1.41756E-02 2.10829E-03 1.62839E-02 1.07511E-02 0.037010 9 4 10.0 45.0 135.0 6.25899E-02 1.41450E-02 2.45300E-03 1.65980E-02 1.07279E-02 0.039192 9 7 10.0 90.0 90.0 8.45642E-02 1.41901E-02 5.23844E-03 1.94285E-02 1.07621E-02 0.061946 8 1 20.0 0.0 180.0 4.47458E-02 1.43178E-02 1.09573E-03 1.54136E-02 1.08590E-02 0.024488 8 4 20.0 45.0 135.0 4.98141E-02 1.42235E-02 1.29540E-03 1.55189E-02 1.07874E-02 0.026005 8 7 20.0 90.0 90.0 7.32493E-02 1.43335E-02 3.01775E-03 1.73512E-02 1.08708E-02 0.041198 7 1 30.0 0.0 180.0 3.87970E-02 1.45606E-02 9.33930E-04 1.54945E-02 1.10431E-02 0.024072 7 4 30.0 45.0 135.0 4.30160E-02 1.46074E-02 1.04950E-03 1.56569E-02 1.10786E-02 0.024398 7 7 30.0 90.0 90.0 6.27096E-02 1.47017E-02 1.83385E-03 1.65355E-02 1.11501E-02 0.029244 6 1 40.0 0.0 180.0 3.68257E-02 1.47908E-02 1.03842E-03 1.58292E-02 1.12177E-02 0.028198 6 4 40.0 45.0 135.0 4.02669E-02 1.48412E-02 1.12623E-03 1.59674E-02 1.12559E-02 0.027969 6 7 40.0 90.0 90.0 5.65341E-02 1.50320E-02 1.63324E-03 1.66653E-02 1.14007E-02 0.028890 5 1 50.0 0.0 180.0 3.86105E-02 1.50989E-02 1.64035E-03 1.67392E-02 1.14513E-02 0.042485 5 4 50.0 45.0 135.0 4.11447E-02 1.50868E-02 1.70894E-03 1.67958E-02 1.14422E-02 0.041535 5 7 50.0 90.0 90.0 5.46915E-02 1.53700E-02 2.20934E-03 1.75794E-02 1.16570E-02 0.040396 4 1 60.0 0.0 180.0 4.58313E-02 1.49944E-02 3.82126E-03 1.88157E-02 1.13721E-02 0.083377 4 4 60.0 45.0 135.0 4.68685E-02 1.49776E-02 3.77342E-03 1.87510E-02 1.13594E-02 0.080511 4 7 60.0 90.0 90.0 5.78765E-02 1.55074E-02 4.40650E-03 1.99139E-02 1.17612E-02 0.076136 3 1 70.0 0.0 180.0 6.35912E-02 1.40077E-02 1.05553E-02 2.45630E-02 1.06237E-02 0.165987 3 4 70.0 45.0 135.0 6.18014E-02 1.41539E-02 1.01562E-02 2.43101E-02 1.07347E-02 0.164336 3 7 70.0 90.0 90.0 6.90925E-02 1.47068E-02 1.10444E-02 2.57512E-02 1.11540E-02 0.159849 2 1 80.0 0.0 180.0 1.08042E-01 1.20571E-02 2.62374E-02 3.82945E-02 9.14439E-03 0.242843 2 4 80.0 45.0 135.0 1.00045E-01 1.21599E-02 2.53770E-02 3.75369E-02 9.22235E-03 0.253655 2 7 80.0 90.0 90.0 9.93957E-02 1.26721E-02 2.65766E-02 3.92487E-02 9.61079E-03 0.267382 1 1 87.5 0.0 180.0 1.74685E-01 9.73482E-03 4.62733E-02 5.60081E-02 7.38312E-03 0.264896 1 4 87.5 45.0 135.0 1.57282E-01 9.35009E-03 4.59876E-02 5.53377E-02 7.09133E-03 0.292389 1 7 87.5 90.0 90.0 1.43092E-01 1.08000E-02 4.70653E-02 5.78653E-02 8.19100E-03 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 2.135E-02 9.232E-02 1.153E-01 1.005E-01 1.490E-01 1.619E-02 4.216E+00 1.403E-02 1.064E-02 1 0.00 0.00 2.601E-02 1.723E-01 4.723E-02 5.569E-02 7.439E-02 1.947E-02 4.145E+00 3 17.07 5.00 8.226E-04 2.430E-02 2.877E-03 3.083E-03 3.350E-03 2.063E-02 4.830E+00 5 34.13 10.00 2.003E-05 5.761E-04 7.511E-05 7.570E-05 7.633E-05 2.075E-02 4.834E+00 7 51.20 15.00 4.904E-07 1.391E-05 1.839E-06 1.840E-06 1.842E-06 2.100E-02 4.820E+00 9 68.27 20.00 1.230E-08 3.384E-07 4.535E-08 4.535E-08 4.535E-08 2.160E-02 4.785E+00 Waveband 28 of 40 completed in 15.8 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 25.9 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 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3012 0.0198 0.0008 0.0884 0.4102 3 16.922 5.000 0.3012 0.0198 0.0008 0.0884 0.4102 5 33.844 10.000 0.3012 0.0198 0.0008 0.0884 0.4102 7 50.766 15.000 0.3012 0.0198 0.0008 0.0884 0.4102 9 67.688 20.000 0.3012 0.0198 0.0008 0.0884 0.4102 Scattering Coefficients of Individual Components at 635.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0010 0.4230 0.0000 2.5501 2.9742 3 16.922 5.000 0.0010 0.4230 0.0000 2.5501 2.9742 5 33.844 10.000 0.0010 0.4230 0.0000 2.5501 2.9742 7 50.766 15.000 0.0010 0.4230 0.0000 2.5501 2.9742 9 67.688 20.000 0.0010 0.4230 0.0000 2.5501 2.9742 Backscattering Coefficients of Individual Components at 635.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00051 0.00423 0.00000 0.07650 0.08125 3 16.922 5.000 0.00051 0.00423 0.00000 0.07650 0.08125 5 33.844 10.000 0.00051 0.00423 0.00000 0.07650 0.08125 7 50.766 15.000 0.00051 0.00423 0.00000 0.07650 0.08125 9 67.688 20.000 0.00051 0.00423 0.00000 0.07650 0.08125 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 0.4102 2.9742 3.3844 0.8788 0.08125 0.02732 3 16.922 5.000 0.4102 2.9742 3.3844 0.8788 0.08125 0.02732 5 33.844 10.000 0.4102 2.9742 3.3844 0.8788 0.08125 0.02732 7 50.766 15.000 0.4102 2.9742 3.3844 0.8788 0.08125 0.02732 9 67.688 20.000 0.4102 2.9742 3.3844 0.8788 0.08125 0.02732 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5802E-01 8 20.00 8.5474E-01 7 30.00 7.1289E-01 6 40.00 5.6174E-01 5 50.00 4.2371E-01 4 60.00 3.1050E-01 3 70.00 2.2447E-01 2 80.00 1.6280E-01 1 87.50 1.2838E-01 1 92.50 1.0876E-01 2 100.00 8.7718E-02 3 110.00 6.7925E-02 4 120.00 5.4300E-02 5 130.00 4.5070E-02 6 140.00 3.8867E-02 7 150.00 3.4775E-02 8 160.00 3.2202E-02 9 170.00 3.0785E-02 10 180.00 3.0282E-02 Asymptotic AOP values are MUu(inf) = 0.3903 MUd(inf) = 0.6672 MU(inf) = 0.5252 R(inf) = 0.0908 Lu(inf)/Ed(inf) = 0.018607 (1/sr) k(inf) = 0.7811 (1/m) absorp(check) = 0.4102 = 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 1.9858E-01 1.7950E+00 1.9936E+00 8.4200E-02 1.3022E+00 0.4240 0.7255 0.6110 6.4657E-02 1 0.00 0.00 2.2237E-01 1.5775E+00 1.7999E+00 9.6324E-02 1.3143E+00 0.4332 0.8332 0.6767 7.3286E-02 3 16.92 5.00 7.6457E-03 4.9184E-02 5.6830E-02 2.9903E-03 3.2917E-02 0.3911 0.6693 0.5266 9.0842E-02 5 33.84 10.00 1.5688E-04 1.0017E-03 1.1585E-03 6.1364E-05 6.6793E-04 0.3912 0.6668 0.5236 9.1872E-02 7 50.77 15.00 3.2654E-06 2.0438E-05 2.3704E-05 1.2828E-06 1.3607E-05 0.3929 0.6657 0.5199 9.4279E-02 9 67.69 20.00 7.2789E-08 4.2915E-07 5.0194E-07 2.8959E-08 2.8435E-07 0.3978 0.6626 0.5088 1.0184E-01 K-functions (units of 1/meter) at 635.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.28249 0.40571 0.39048 0.36697 0.58892 0.60650 0.53066 5.000 5.010 5.005 0.77344 0.77501 0.77480 0.77429 0.77753 0.77786 0.77567 10.000 10.010 10.005 0.77739 0.77954 0.77925 0.77693 0.77975 0.78004 0.77598 15.000 15.010 15.005 0.76995 0.77661 0.77569 0.76850 0.77710 0.77800 0.76550 20.000 20.010 20.005 0.74763 0.76696 0.76416 0.74360 0.76853 0.77136 0.73520 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 635.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 9.05048E-02 1.24685E-02 7.22775E-03 1.96962E-02 9.57460E-03 0.079860 9 1 10.0 0.0 180.0 5.58452E-02 1.26081E-02 2.07342E-03 1.46815E-02 9.68182E-03 0.037128 9 4 10.0 45.0 135.0 6.13587E-02 1.25779E-02 2.41324E-03 1.49911E-02 9.65861E-03 0.039330 9 7 10.0 90.0 90.0 8.29008E-02 1.26112E-02 5.16582E-03 1.77770E-02 9.68417E-03 0.062313 8 1 20.0 0.0 180.0 4.38656E-02 1.27391E-02 1.07451E-03 1.38136E-02 9.78244E-03 0.024496 8 4 20.0 45.0 135.0 4.88342E-02 1.26500E-02 1.27079E-03 1.39208E-02 9.71400E-03 0.026022 8 7 20.0 90.0 90.0 7.18084E-02 1.27371E-02 2.96995E-03 1.57070E-02 9.78087E-03 0.041359 7 1 30.0 0.0 180.0 3.80338E-02 1.29588E-02 9.15559E-04 1.38744E-02 9.95113E-03 0.024072 7 4 30.0 45.0 135.0 4.21701E-02 1.29933E-02 1.02889E-03 1.40222E-02 9.97760E-03 0.024399 7 7 30.0 90.0 90.0 6.14745E-02 1.30629E-02 1.80005E-03 1.48630E-02 1.00311E-02 0.029281 6 1 40.0 0.0 180.0 3.61013E-02 1.31672E-02 1.01799E-03 1.41852E-02 1.01112E-02 0.028198 6 4 40.0 45.0 135.0 3.94748E-02 1.32030E-02 1.10408E-03 1.43070E-02 1.01386E-02 0.027969 6 7 40.0 90.0 90.0 5.54220E-02 1.33561E-02 1.60126E-03 1.49574E-02 1.02563E-02 0.028892 5 1 50.0 0.0 180.0 3.78510E-02 1.34448E-02 1.60808E-03 1.50529E-02 1.03244E-02 0.042485 5 4 50.0 45.0 135.0 4.03354E-02 1.34241E-02 1.67533E-03 1.50995E-02 1.03085E-02 0.041535 5 7 50.0 90.0 90.0 5.36157E-02 1.36600E-02 2.16588E-03 1.58258E-02 1.04896E-02 0.040396 4 1 60.0 0.0 180.0 4.49297E-02 1.33557E-02 3.74609E-03 1.71018E-02 1.02559E-02 0.083377 4 4 60.0 45.0 135.0 4.59466E-02 1.33305E-02 3.69919E-03 1.70297E-02 1.02366E-02 0.080511 4 7 60.0 90.0 90.0 5.67380E-02 1.37875E-02 4.31982E-03 1.81073E-02 1.05875E-02 0.076136 3 1 70.0 0.0 180.0 6.23404E-02 1.24825E-02 1.03477E-02 2.28302E-02 9.58537E-03 0.165987 3 4 70.0 45.0 135.0 6.05857E-02 1.26037E-02 9.95640E-03 2.25601E-02 9.67848E-03 0.164336 3 7 70.0 90.0 90.0 6.77334E-02 1.30863E-02 1.08271E-02 2.39134E-02 1.00491E-02 0.159849 2 1 80.0 0.0 180.0 1.05917E-01 1.07498E-02 2.57213E-02 3.64711E-02 8.25485E-03 0.242843 2 4 80.0 45.0 135.0 9.80772E-02 1.08344E-02 2.48778E-02 3.57122E-02 8.31979E-03 0.253655 2 7 80.0 90.0 90.0 9.74406E-02 1.12858E-02 2.60538E-02 3.73397E-02 8.66646E-03 0.267382 1 1 87.5 0.0 180.0 1.71249E-01 8.68507E-03 4.53631E-02 5.40481E-02 6.66932E-03 0.264896 1 4 87.5 45.0 135.0 1.54188E-01 8.33708E-03 4.50830E-02 5.34201E-02 6.40209E-03 0.292389 1 7 87.5 90.0 90.0 1.40277E-01 9.62973E-03 4.61395E-02 5.57692E-02 7.39472E-03 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 1.970E-02 9.050E-02 1.126E-01 9.802E-02 1.456E-01 1.512E-02 4.275E+00 1.247E-02 9.575E-03 1 0.00 0.00 2.312E-02 1.688E-01 4.247E-02 5.027E-02 6.781E-02 1.759E-02 4.166E+00 3 16.92 5.00 6.153E-04 2.064E-02 2.203E-03 2.371E-03 2.592E-03 1.869E-02 4.860E+00 5 33.84 10.00 1.264E-05 4.102E-04 4.851E-05 4.894E-05 4.939E-05 1.892E-02 4.856E+00 7 50.77 15.00 2.666E-07 8.326E-06 1.009E-06 1.010E-06 1.011E-06 1.959E-02 4.813E+00 9 67.69 20.00 6.175E-09 1.724E-07 2.194E-08 2.194E-08 2.194E-08 2.172E-02 4.689E+00 Waveband 29 of 40 completed in 15.7 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 25.9 m at 645.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 640.0 nm to 650.0 nm: Ed(diffuse) = 3.226E-01 Ed(direct) = 9.388E-01 Ed(total) = 1.261E+00 Absorption Coefficients of Individual Components at 645.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3250 0.0192 0.0007 0.0858 0.4306 3 16.800 5.000 0.3250 0.0192 0.0007 0.0858 0.4306 5 33.599 10.000 0.3250 0.0192 0.0007 0.0858 0.4306 7 50.399 15.000 0.3250 0.0192 0.0007 0.0858 0.4306 9 67.199 20.000 0.3250 0.0192 0.0007 0.0858 0.4306 Scattering Coefficients of Individual Components at 645.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0010 0.4165 0.0000 2.5119 2.9293 3 16.800 5.000 0.0010 0.4165 0.0000 2.5119 2.9293 5 33.599 10.000 0.0010 0.4165 0.0000 2.5119 2.9293 7 50.399 15.000 0.0010 0.4165 0.0000 2.5119 2.9293 9 67.199 20.000 0.0010 0.4165 0.0000 2.5119 2.9293 Backscattering Coefficients of Individual Components at 645.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00048 0.00416 0.00000 0.07536 0.08000 3 16.800 5.000 0.00048 0.00416 0.00000 0.07536 0.08000 5 33.599 10.000 0.00048 0.00416 0.00000 0.07536 0.08000 7 50.399 15.000 0.00048 0.00416 0.00000 0.07536 0.08000 9 67.199 20.000 0.00048 0.00416 0.00000 0.07536 0.08000 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 0.4306 2.9293 3.3599 0.8718 0.08000 0.02731 3 16.800 5.000 0.4306 2.9293 3.3599 0.8718 0.08000 0.02731 5 33.599 10.000 0.4306 2.9293 3.3599 0.8718 0.08000 0.02731 7 50.399 15.000 0.4306 2.9293 3.3599 0.8718 0.08000 0.02731 9 67.199 20.000 0.4306 2.9293 3.3599 0.8718 0.08000 0.02731 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5643E-01 8 20.00 8.4958E-01 7 30.00 7.0378E-01 6 40.00 5.4982E-01 5 50.00 4.1074E-01 4 60.00 2.9801E-01 3 70.00 2.1337E-01 2 80.00 1.5341E-01 1 87.50 1.2027E-01 1 92.50 1.0152E-01 2 100.00 8.1518E-02 3 110.00 6.2827E-02 4 120.00 5.0055E-02 5 130.00 4.1457E-02 6 140.00 3.5709E-02 7 150.00 3.1933E-02 8 160.00 2.9567E-02 9 170.00 2.8267E-02 10 180.00 2.7806E-02 Asymptotic AOP values are MUu(inf) = 0.3888 MUd(inf) = 0.6721 MU(inf) = 0.5357 R(inf) = 0.0853 Lu(inf)/Ed(inf) = 0.017423 (1/sr) k(inf) = 0.8039 (1/m) absorp(check) = 0.4307 = 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 1.8670E-01 1.7368E+00 1.9235E+00 7.8810E-02 1.2614E+00 0.4221 0.7263 0.6148 6.2476E-02 1 0.00 0.00 2.0237E-01 1.5175E+00 1.7198E+00 8.7383E-02 1.2700E+00 0.4318 0.8369 0.6876 6.8806E-02 3 16.80 5.00 6.2378E-03 4.2186E-02 4.8424E-02 2.4309E-03 2.8436E-02 0.3897 0.6741 0.5370 8.5487E-02 5 33.60 10.00 1.1502E-04 7.6824E-04 8.8326E-04 4.4882E-05 5.1577E-04 0.3902 0.6714 0.5331 8.7018E-02 7 50.40 15.00 2.2103E-06 1.4140E-05 1.6350E-05 8.7075E-07 9.4626E-06 0.3939 0.6692 0.5255 9.2021E-02 9 67.20 20.00 5.0306E-08 2.7863E-07 3.2894E-07 2.0398E-08 1.8432E-07 0.4055 0.6615 0.4983 1.1067E-01 K-functions (units of 1/meter) at 645.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.29132 0.42016 0.40499 0.38314 0.60985 0.62662 0.55086 5.000 5.010 5.005 0.79561 0.79761 0.79735 0.79637 0.80014 0.80049 0.79757 10.000 10.010 10.005 0.79732 0.80147 0.80093 0.79640 0.80182 0.80234 0.79447 15.000 15.010 15.005 0.77964 0.79502 0.79294 0.77630 0.79617 0.79818 0.76948 20.000 20.010 20.005 0.72447 0.77082 0.76373 0.71575 0.77480 0.78215 0.69865 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 645.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 8.70599E-02 1.12766E-02 6.99727E-03 1.82739E-02 8.93946E-03 0.080373 9 1 10.0 0.0 180.0 5.37195E-02 1.14083E-02 2.00049E-03 1.34088E-02 9.04387E-03 0.037239 9 4 10.0 45.0 135.0 5.90232E-02 1.13790E-02 2.32910E-03 1.37081E-02 9.02067E-03 0.039461 9 7 10.0 90.0 90.0 7.97453E-02 1.14048E-02 4.99681E-03 1.64016E-02 9.04111E-03 0.062660 8 1 20.0 0.0 180.0 4.21959E-02 1.15295E-02 1.03392E-03 1.25634E-02 9.13993E-03 0.024503 8 4 20.0 45.0 135.0 4.69754E-02 1.14456E-02 1.22320E-03 1.26688E-02 9.07340E-03 0.026039 8 7 20.0 90.0 90.0 6.90751E-02 1.15175E-02 2.86741E-03 1.43849E-02 9.13040E-03 0.041511 7 1 30.0 0.0 180.0 3.65861E-02 1.17303E-02 8.80710E-04 1.26110E-02 9.29911E-03 0.024072 7 4 30.0 45.0 135.0 4.05652E-02 1.17569E-02 9.89768E-04 1.27467E-02 9.32024E-03 0.024399 7 7 30.0 90.0 90.0 5.91332E-02 1.18109E-02 1.73360E-03 1.35445E-02 9.36299E-03 0.029317 6 1 40.0 0.0 180.0 3.47272E-02 1.19206E-02 9.79240E-04 1.28998E-02 9.44997E-03 0.028198 6 4 40.0 45.0 135.0 3.79723E-02 1.19471E-02 1.06205E-03 1.30092E-02 9.47103E-03 0.027969 6 7 40.0 90.0 90.0 5.33125E-02 1.20750E-02 1.54045E-03 1.36155E-02 9.57241E-03 0.028895 5 1 50.0 0.0 180.0 3.64103E-02 1.21734E-02 1.54687E-03 1.37202E-02 9.65037E-03 0.042485 5 4 50.0 45.0 135.0 3.88001E-02 1.21483E-02 1.61156E-03 1.37598E-02 9.63048E-03 0.041535 5 7 50.0 90.0 90.0 5.15749E-02 1.23510E-02 2.08344E-03 1.44345E-02 9.79119E-03 0.040396 4 1 60.0 0.0 180.0 4.32196E-02 1.20944E-02 3.60350E-03 1.56979E-02 9.58774E-03 0.083377 4 4 60.0 45.0 135.0 4.41977E-02 1.20650E-02 3.55839E-03 1.56234E-02 9.56447E-03 0.080511 4 7 60.0 90.0 90.0 5.45784E-02 1.24688E-02 4.15539E-03 1.66242E-02 9.88460E-03 0.076136 3 1 70.0 0.0 180.0 5.99675E-02 1.13064E-02 9.95383E-03 2.12602E-02 8.96308E-03 0.165987 3 4 70.0 45.0 135.0 5.82796E-02 1.14103E-02 9.57743E-03 2.09878E-02 9.04547E-03 0.164336 3 7 70.0 90.0 90.0 6.51552E-02 1.18403E-02 1.04150E-02 2.22553E-02 9.38630E-03 0.159849 2 1 80.0 0.0 180.0 1.01886E-01 9.73978E-03 2.47423E-02 3.44820E-02 7.72116E-03 0.242843 2 4 80.0 45.0 135.0 9.43441E-02 9.81176E-03 2.39309E-02 3.37427E-02 7.77822E-03 0.253655 2 7 80.0 90.0 90.0 9.37317E-02 1.02167E-02 2.50621E-02 3.52788E-02 8.09920E-03 0.267382 1 1 87.5 0.0 180.0 1.64730E-01 7.87210E-03 4.36364E-02 5.15085E-02 6.24056E-03 0.264896 1 4 87.5 45.0 135.0 1.48319E-01 7.55352E-03 4.33670E-02 5.09205E-02 5.98801E-03 0.292389 1 7 87.5 90.0 90.0 1.34938E-01 8.72369E-03 4.43833E-02 5.31069E-02 6.91565E-03 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 1.827E-02 8.706E-02 1.081E-01 9.402E-02 1.397E-01 1.449E-02 4.313E+00 1.128E-02 8.939E-03 1 0.00 0.00 2.091E-02 1.624E-01 3.869E-02 4.592E-02 6.233E-02 1.647E-02 4.179E+00 3 16.80 5.00 4.985E-04 1.817E-02 1.809E-03 1.954E-03 2.145E-03 1.753E-02 4.876E+00 5 33.60 10.00 9.234E-06 3.228E-04 3.582E-05 3.617E-05 3.653E-05 1.790E-02 4.861E+00 7 50.40 15.00 1.827E-07 5.883E-06 6.812E-07 6.819E-07 6.826E-07 1.931E-02 4.765E+00 9 67.20 20.00 4.532E-09 1.121E-07 1.460E-08 1.460E-08 1.460E-08 2.459E-02 4.501E+00 Waveband 30 of 40 completed in 15.6 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 25.9 m at 655.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 650.0 nm to 660.0 nm: Ed(diffuse) = 3.062E-01 Ed(direct) = 8.991E-01 Ed(total) = 1.205E+00 Absorption Coefficients of Individual Components at 655.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3710 0.0228 0.0006 0.1018 0.4962 3 16.817 5.000 0.3710 0.0228 0.0006 0.1018 0.4962 5 33.634 10.000 0.3710 0.0228 0.0006 0.1018 0.4962 7 50.451 15.000 0.3710 0.0228 0.0006 0.1018 0.4962 9 67.268 20.000 0.3710 0.0228 0.0006 0.1018 0.4962 Scattering Coefficients of Individual Components at 655.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0009 0.4101 0.0000 2.4561 2.8671 3 16.817 5.000 0.0009 0.4101 0.0000 2.4561 2.8671 5 33.634 10.000 0.0009 0.4101 0.0000 2.4561 2.8671 7 50.451 15.000 0.0009 0.4101 0.0000 2.4561 2.8671 9 67.268 20.000 0.0009 0.4101 0.0000 2.4561 2.8671 Backscattering Coefficients of Individual Components at 655.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00045 0.00410 0.00000 0.07368 0.07824 3 16.817 5.000 0.00045 0.00410 0.00000 0.07368 0.07824 5 33.634 10.000 0.00045 0.00410 0.00000 0.07368 0.07824 7 50.451 15.000 0.00045 0.00410 0.00000 0.07368 0.07824 9 67.268 20.000 0.00045 0.00410 0.00000 0.07368 0.07824 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 0.4962 2.8671 3.3634 0.8525 0.07824 0.02729 3 16.817 5.000 0.4962 2.8671 3.3634 0.8525 0.07824 0.02729 5 33.634 10.000 0.4962 2.8671 3.3634 0.8525 0.07824 0.02729 7 50.451 15.000 0.4962 2.8671 3.3634 0.8525 0.07824 0.02729 9 67.268 20.000 0.4962 2.8671 3.3634 0.8525 0.07824 0.02729 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5201E-01 8 20.00 8.3542E-01 7 30.00 6.7919E-01 6 40.00 5.1828E-01 5 50.00 3.7717E-01 4 60.00 2.6642E-01 3 70.00 1.8593E-01 2 80.00 1.3065E-01 1 87.50 1.0088E-01 1 92.50 8.4378E-02 2 100.00 6.7004E-02 3 110.00 5.1043E-02 4 120.00 4.0339E-02 5 130.00 3.3247E-02 6 140.00 2.8568E-02 7 150.00 2.5528E-02 8 160.00 2.3639E-02 9 170.00 2.2608E-02 10 180.00 2.2243E-02 Asymptotic AOP values are MUu(inf) = 0.3853 MUd(inf) = 0.6848 MU(inf) = 0.5626 R(inf) = 0.0725 Lu(inf)/Ed(inf) = 0.014688 (1/sr) k(inf) = 0.8820 (1/m) absorp(check) = 0.4963 = 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 1.6678E-01 1.6578E+00 1.8246E+00 6.9436E-02 1.2053E+00 0.4163 0.7271 0.6226 5.7607E-02 1 0.00 0.00 1.6471E-01 1.4268E+00 1.5915E+00 7.0546E-02 1.2064E+00 0.4283 0.8455 0.7137 5.8475E-02 3 16.82 5.00 3.4743E-03 2.6738E-02 3.0212E-02 1.3433E-03 1.8353E-02 0.3866 0.6864 0.5630 7.3193E-02 5 33.63 10.00 4.5371E-05 3.3331E-04 3.7868E-04 1.7708E-05 2.2747E-04 0.3903 0.6824 0.5539 7.7848E-02 7 50.45 15.00 7.7016E-07 4.5080E-06 5.2781E-06 3.1463E-07 3.0259E-06 0.4085 0.6712 0.5137 1.0398E-01 9 67.27 20.00 2.7278E-08 9.1585E-08 1.1886E-07 1.1984E-08 5.7765E-08 0.4393 0.6307 0.3852 2.0747E-01 K-functions (units of 1/meter) at 655.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.32575 0.47336 0.45807 0.43868 0.68053 0.69557 0.61908 5.000 5.010 5.005 0.87089 0.87517 0.87467 0.87108 0.87768 0.87820 0.87110 10.000 10.010 10.005 0.85495 0.87411 0.87181 0.85058 0.87539 0.87748 0.84171 15.000 15.010 15.005 0.75529 0.83709 0.82515 0.74095 0.84379 0.85574 0.71535 20.000 20.010 20.005 0.58483 0.70144 0.67466 0.57330 0.71883 0.75696 0.55488 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 9.04113E-03 6.68238E-03 1.57235E-02 7.50091E-03 0.080872 9 1 10.0 0.0 180.0 5.09854E-02 9.15891E-03 1.90421E-03 1.10631E-02 7.59863E-03 0.037348 9 4 10.0 45.0 135.0 5.60192E-02 9.13106E-03 2.21768E-03 1.13487E-02 7.57552E-03 0.039588 9 7 10.0 90.0 90.0 7.56866E-02 9.14184E-03 4.76801E-03 1.39098E-02 7.58446E-03 0.062997 8 1 20.0 0.0 180.0 4.00483E-02 9.26164E-03 9.81576E-04 1.02432E-02 7.68386E-03 0.024510 8 4 20.0 45.0 135.0 4.45846E-02 9.18689E-03 1.16167E-03 1.03486E-02 7.62184E-03 0.026055 8 7 20.0 90.0 90.0 6.55595E-02 9.22874E-03 2.73118E-03 1.19599E-02 7.65656E-03 0.041660 7 1 30.0 0.0 180.0 3.47241E-02 9.42684E-03 8.35885E-04 1.02627E-02 7.82092E-03 0.024072 7 4 30.0 45.0 135.0 3.85009E-02 9.43801E-03 9.39428E-04 1.03774E-02 7.83018E-03 0.024400 7 7 30.0 90.0 90.0 5.61222E-02 9.46016E-03 1.64728E-03 1.11074E-02 7.84855E-03 0.029352 6 1 40.0 0.0 180.0 3.29597E-02 9.58244E-03 9.29401E-04 1.05118E-02 7.95001E-03 0.028198 6 4 40.0 45.0 135.0 3.60397E-02 9.59067E-03 1.00800E-03 1.05987E-02 7.95683E-03 0.027969 6 7 40.0 90.0 90.0 5.05991E-02 9.66784E-03 1.46217E-03 1.11300E-02 8.02086E-03 0.028897 5 1 50.0 0.0 180.0 3.45572E-02 9.78773E-03 1.46814E-03 1.12559E-02 8.12033E-03 0.042485 5 4 50.0 45.0 135.0 3.68253E-02 9.75300E-03 1.52954E-03 1.12825E-02 8.09151E-03 0.041535 5 7 50.0 90.0 90.0 4.89500E-02 9.88966E-03 1.97741E-03 1.18671E-02 8.20489E-03 0.040396 4 1 60.0 0.0 180.0 4.10199E-02 9.72681E-03 3.42010E-03 1.31469E-02 8.06978E-03 0.083377 4 4 60.0 45.0 135.0 4.19482E-02 9.68805E-03 3.37728E-03 1.30653E-02 8.03763E-03 0.080511 4 7 60.0 90.0 90.0 5.18006E-02 9.98734E-03 3.94390E-03 1.39312E-02 8.28592E-03 0.076136 3 1 70.0 0.0 180.0 5.69154E-02 9.09787E-03 9.44722E-03 1.85451E-02 7.54799E-03 0.165987 3 4 70.0 45.0 135.0 5.53134E-02 9.16759E-03 9.08998E-03 1.82576E-02 7.60583E-03 0.164336 3 7 70.0 90.0 90.0 6.18391E-02 9.49358E-03 9.88492E-03 1.93785E-02 7.87628E-03 0.159849 2 1 80.0 0.0 180.0 9.67001E-02 7.84239E-03 2.34830E-02 3.13254E-02 6.50639E-03 0.242843 2 4 80.0 45.0 135.0 8.95424E-02 7.88913E-03 2.27129E-02 3.06020E-02 6.54516E-03 0.253655 2 7 80.0 90.0 90.0 8.89611E-02 8.20182E-03 2.37866E-02 3.19884E-02 6.80459E-03 0.267382 1 1 87.5 0.0 180.0 1.56346E-01 6.34450E-03 4.14155E-02 4.77600E-02 5.26367E-03 0.264896 1 4 87.5 45.0 135.0 1.40771E-01 6.07988E-03 4.11598E-02 4.72397E-02 5.04413E-03 0.292389 1 7 87.5 90.0 90.0 1.28070E-01 7.01542E-03 4.21243E-02 4.91398E-02 5.82030E-03 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 1.572E-02 8.263E-02 1.021E-01 8.861E-02 1.319E-01 1.304E-02 4.416E+00 9.041E-03 7.501E-03 1 0.00 0.00 1.677E-02 1.540E-01 3.161E-02 3.774E-02 5.200E-02 1.390E-02 4.207E+00 3 16.82 5.00 2.741E-04 1.231E-02 1.026E-03 1.114E-03 1.231E-03 1.493E-02 4.901E+00 5 33.63 10.00 3.685E-06 1.494E-04 1.423E-05 1.438E-05 1.454E-05 1.620E-02 4.805E+00 7 50.45 15.00 7.142E-08 1.927E-06 2.212E-07 2.214E-07 2.217E-07 2.360E-02 4.405E+00 9 67.27 20.00 3.065E-09 3.241E-08 6.491E-09 6.491E-09 6.492E-09 5.306E-02 3.910E+00 Waveband 31 of 40 completed in 15.9 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 25.9 m at 665.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 660.0 nm to 670.0 nm: Ed(diffuse) = 3.168E-01 Ed(direct) = 9.381E-01 Ed(total) = 1.255E+00 Absorption Coefficients of Individual Components at 665.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.4290 0.0318 0.0005 0.1420 0.6034 3 16.928 5.000 0.4290 0.0318 0.0005 0.1420 0.6034 5 33.856 10.000 0.4290 0.0318 0.0005 0.1420 0.6034 7 50.784 15.000 0.4290 0.0318 0.0005 0.1420 0.6034 9 67.712 20.000 0.4290 0.0318 0.0005 0.1420 0.6034 Scattering Coefficients of Individual Components at 665.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0008 0.4039 0.0000 2.3775 2.7823 3 16.928 5.000 0.0008 0.4039 0.0000 2.3775 2.7823 5 33.856 10.000 0.0008 0.4039 0.0000 2.3775 2.7823 7 50.784 15.000 0.0008 0.4039 0.0000 2.3775 2.7823 9 67.712 20.000 0.0008 0.4039 0.0000 2.3775 2.7823 Backscattering Coefficients of Individual Components at 665.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00042 0.00404 0.00000 0.07132 0.07578 3 16.928 5.000 0.00042 0.00404 0.00000 0.07132 0.07578 5 33.856 10.000 0.00042 0.00404 0.00000 0.07132 0.07578 7 50.784 15.000 0.00042 0.00404 0.00000 0.07132 0.07578 9 67.712 20.000 0.00042 0.00404 0.00000 0.07132 0.07578 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 0.6034 2.7823 3.3856 0.8218 0.07578 0.02724 3 16.928 5.000 0.6034 2.7823 3.3856 0.8218 0.07578 0.02724 5 33.856 10.000 0.6034 2.7823 3.3856 0.8218 0.07578 0.02724 7 50.784 15.000 0.6034 2.7823 3.3856 0.8218 0.07578 0.02724 9 67.712 20.000 0.6034 2.7823 3.3856 0.8218 0.07578 0.02724 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4504E-01 8 20.00 8.1353E-01 7 30.00 6.4225E-01 6 40.00 4.7258E-01 5 50.00 3.3047E-01 4 60.00 2.2429E-01 3 70.00 1.5079E-01 2 80.00 1.0254E-01 1 87.50 7.7532E-02 1 92.50 6.4060E-02 2 100.00 5.0127E-02 3 110.00 3.7622E-02 4 120.00 2.9448E-02 5 130.00 2.4147E-02 6 140.00 2.0712E-02 7 150.00 1.8513E-02 8 160.00 1.7163E-02 9 170.00 1.6431E-02 10 180.00 1.6174E-02 Asymptotic AOP values are MUu(inf) = 0.3811 MUd(inf) = 0.7033 MU(inf) = 0.5995 R(inf) = 0.0574 Lu(inf)/Ed(inf) = 0.011551 (1/sr) k(inf) = 1.0065 (1/m) absorp(check) = 0.6034 = 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 1.6036E-01 1.7242E+00 1.8845E+00 6.5582E-02 1.2549E+00 0.4090 0.7278 0.6311 5.2262E-02 1 0.00 0.00 1.3779E-01 1.4582E+00 1.5959E+00 5.8406E-02 1.2477E+00 0.4239 0.8556 0.7452 4.6812E-02 3 16.93 5.00 1.6404E-03 1.4629E-02 1.6269E-02 6.3465E-04 1.0281E-02 0.3869 0.7028 0.5929 6.1732E-02 5 33.86 10.00 1.7754E-05 1.0976E-04 1.2752E-04 7.3592E-06 7.5111E-05 0.4145 0.6843 0.5313 9.7977E-02 7 50.78 15.00 6.6251E-07 1.7417E-06 2.4042E-06 2.9949E-07 1.0660E-06 0.4520 0.6120 0.3188 2.8095E-01 9 67.71 20.00 5.1447E-08 9.7541E-08 1.4899E-07 2.3693E-08 5.5100E-08 0.4605 0.5649 0.2108 4.3000E-01 K-functions (units of 1/meter) at 665.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.39423 0.57047 0.55525 0.53520 0.79583 0.80865 0.73033 5.000 5.010 5.005 0.96860 0.99394 0.99138 0.96388 0.99737 0.99957 0.95434 10.000 10.010 10.005 0.79697 0.94092 0.92086 0.77467 0.95237 0.97169 0.73826 15.000 15.010 15.005 0.55009 0.68378 0.64692 0.54160 0.71098 0.77724 0.53019 20.000 20.010 20.005 0.48858 0.51054 0.50296 0.48686 0.51655 0.53896 0.48294 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 665.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 8.54737E-02 7.43965E-03 6.95328E-03 1.43929E-02 5.92870E-03 0.081350 9 1 10.0 0.0 180.0 5.27408E-02 7.55151E-03 1.97525E-03 9.52676E-03 6.01784E-03 0.037452 9 4 10.0 45.0 135.0 5.79479E-02 7.52309E-03 2.30109E-03 9.82417E-03 5.99519E-03 0.039710 9 7 10.0 90.0 90.0 7.82924E-02 7.51929E-03 4.95743E-03 1.24767E-02 5.99217E-03 0.063319 8 1 20.0 0.0 180.0 4.14272E-02 7.64198E-03 1.01565E-03 8.65763E-03 6.08994E-03 0.024516 8 4 20.0 45.0 135.0 4.61196E-02 7.57111E-03 1.20238E-03 8.77349E-03 6.03346E-03 0.026071 8 7 20.0 90.0 90.0 6.78167E-02 7.58514E-03 2.83482E-03 1.04200E-02 6.04464E-03 0.041801 7 1 30.0 0.0 180.0 3.59196E-02 7.78168E-03 8.64664E-04 8.64635E-03 6.20127E-03 0.024072 7 4 30.0 45.0 135.0 3.98266E-02 7.77807E-03 9.71806E-04 8.74987E-03 6.19839E-03 0.024401 7 7 30.0 90.0 90.0 5.80532E-02 7.76873E-03 1.70588E-03 9.47461E-03 6.19094E-03 0.029385 6 1 40.0 0.0 180.0 3.40945E-02 7.91079E-03 9.61399E-04 8.87219E-03 6.30415E-03 0.028198 6 4 40.0 45.0 135.0 3.72805E-02 7.90099E-03 1.04270E-03 8.94369E-03 6.29634E-03 0.027969 6 7 40.0 90.0 90.0 5.23412E-02 7.93043E-03 1.51264E-03 9.44306E-03 6.31980E-03 0.028900 5 1 50.0 0.0 180.0 3.57469E-02 8.07987E-03 1.51869E-03 9.59856E-03 6.43889E-03 0.042485 5 4 50.0 45.0 135.0 3.80932E-02 8.03253E-03 1.58220E-03 9.61473E-03 6.40117E-03 0.041535 5 7 50.0 90.0 90.0 5.06353E-02 8.10869E-03 2.04549E-03 1.01542E-02 6.46186E-03 0.040396 4 1 60.0 0.0 180.0 4.24322E-02 8.02959E-03 3.53785E-03 1.15674E-02 6.39882E-03 0.083377 4 4 60.0 45.0 135.0 4.33925E-02 7.97786E-03 3.49356E-03 1.14714E-02 6.35760E-03 0.080511 4 7 60.0 90.0 90.0 5.35840E-02 8.18778E-03 4.07969E-03 1.22675E-02 6.52488E-03 0.076136 3 1 70.0 0.0 180.0 5.88749E-02 7.51264E-03 9.77248E-03 1.72851E-02 5.98687E-03 0.165987 3 4 70.0 45.0 135.0 5.72178E-02 7.55161E-03 9.40294E-03 1.69546E-02 6.01792E-03 0.164336 3 7 70.0 90.0 90.0 6.39682E-02 7.78896E-03 1.02252E-02 1.80142E-02 6.20706E-03 0.159849 2 1 80.0 0.0 180.0 1.00029E-01 6.47927E-03 2.42915E-02 3.07707E-02 5.16336E-03 0.242843 2 4 80.0 45.0 135.0 9.26253E-02 6.50239E-03 2.34949E-02 2.99973E-02 5.18179E-03 0.253655 2 7 80.0 90.0 90.0 9.20240E-02 6.73680E-03 2.46055E-02 3.13423E-02 5.36859E-03 0.267382 1 1 87.5 0.0 180.0 1.61729E-01 5.24664E-03 4.28414E-02 4.80880E-02 4.18108E-03 0.264896 1 4 87.5 45.0 135.0 1.45617E-01 5.01662E-03 4.25769E-02 4.75935E-02 3.99777E-03 0.292389 1 7 87.5 90.0 90.0 1.32480E-01 5.77323E-03 4.35746E-02 4.93479E-02 4.60072E-03 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 1.439E-02 8.547E-02 1.049E-01 9.091E-02 1.356E-01 1.147E-02 4.557E+00 7.440E-03 5.929E-03 1 0.00 0.00 1.380E-02 1.593E-01 2.664E-02 3.200E-02 4.490E-02 1.106E-02 4.233E+00 3 16.93 5.00 1.317E-04 7.377E-03 4.873E-04 5.309E-04 5.904E-04 1.281E-02 4.820E+00 5 33.86 10.00 1.727E-06 5.116E-05 4.934E-06 4.978E-06 5.024E-06 2.300E-02 4.260E+00 7 50.78 15.00 7.991E-08 5.720E-07 1.448E-07 1.448E-07 1.448E-07 7.496E-02 3.748E+00 9 67.71 20.00 6.489E-09 2.340E-08 1.055E-08 1.055E-08 1.055E-08 1.178E-01 3.651E+00 Waveband 32 of 40 completed in 16.3 sec. * * * * * Output for wavelength band 33 (670.0 to 680.0 nm; nominal wavelength = 675.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 25.9 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 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.4480 0.0324 0.0004 0.1447 0.6256 3 16.809 5.000 0.4480 0.0324 0.0004 0.1447 0.6256 5 33.618 10.000 0.4480 0.0324 0.0004 0.1447 0.6256 7 50.427 15.000 0.4480 0.0324 0.0004 0.1447 0.6256 9 67.236 20.000 0.4480 0.0324 0.0004 0.1447 0.6256 Scattering Coefficients of Individual Components at 675.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0008 0.3980 0.0000 2.3375 2.7362 3 16.809 5.000 0.0008 0.3980 0.0000 2.3375 2.7362 5 33.618 10.000 0.0008 0.3980 0.0000 2.3375 2.7362 7 50.427 15.000 0.0008 0.3980 0.0000 2.3375 2.7362 9 67.236 20.000 0.0008 0.3980 0.0000 2.3375 2.7362 Backscattering Coefficients of Individual Components at 675.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00040 0.00398 0.00000 0.07012 0.07450 3 16.809 5.000 0.00040 0.00398 0.00000 0.07012 0.07450 5 33.618 10.000 0.00040 0.00398 0.00000 0.07012 0.07450 7 50.427 15.000 0.00040 0.00398 0.00000 0.07012 0.07450 9 67.236 20.000 0.00040 0.00398 0.00000 0.07012 0.07450 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 0.6256 2.7362 3.3618 0.8139 0.07450 0.02723 3 16.809 5.000 0.6256 2.7362 3.3618 0.8139 0.07450 0.02723 5 33.618 10.000 0.6256 2.7362 3.3618 0.8139 0.07450 0.02723 7 50.427 15.000 0.6256 2.7362 3.3618 0.8139 0.07450 0.02723 9 67.236 20.000 0.6256 2.7362 3.3618 0.8139 0.07450 0.02723 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4326E-01 8 20.00 8.0799E-01 7 30.00 6.3311E-01 6 40.00 4.6160E-01 5 50.00 3.1960E-01 4 60.00 2.1478E-01 3 70.00 1.4310E-01 2 80.00 9.6563E-02 1 87.50 7.2658E-02 1 92.50 5.9868E-02 2 100.00 4.6693E-02 3 110.00 3.4931E-02 4 120.00 2.7288E-02 5 130.00 2.2355E-02 6 140.00 1.9172E-02 7 150.00 1.7142E-02 8 160.00 1.5898E-02 9 170.00 1.5226E-02 10 180.00 1.4989E-02 Asymptotic AOP values are MUu(inf) = 0.3803 MUd(inf) = 0.7077 MU(inf) = 0.6080 R(inf) = 0.0542 Lu(inf)/Ed(inf) = 0.010914 (1/sr) k(inf) = 1.0290 (1/m) absorp(check) = 0.6256 = 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 1.5558E-01 1.6906E+00 1.8462E+00 6.3606E-02 1.2316E+00 0.4088 0.7285 0.6327 5.1646E-02 1 0.00 0.00 1.3129E-01 1.4277E+00 1.5590E+00 5.5643E-02 1.2236E+00 0.4238 0.8570 0.7492 4.5475E-02 3 16.81 5.00 1.5923E-03 1.3154E-02 1.4746E-02 6.3093E-04 9.2372E-03 0.3962 0.7023 0.5836 6.8303E-02 5 33.62 10.00 2.7965E-05 1.1369E-04 1.4166E-04 1.2224E-05 7.4768E-05 0.4371 0.6576 0.4415 1.6349E-01 7 50.43 15.00 1.5988E-06 3.3224E-06 4.9211E-06 7.3227E-07 1.9259E-06 0.4580 0.5797 0.2425 3.8023E-01 9 67.24 20.00 1.3393E-07 2.4325E-07 3.7718E-07 6.1832E-08 1.3586E-07 0.4617 0.5585 0.1963 4.5511E-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 0.41453 0.59175 0.57681 0.55559 0.81693 0.82940 0.74627 5.000 5.010 5.005 0.92914 0.99967 0.99205 0.91632 1.00633 1.01293 0.89289 10.000 10.010 10.005 0.66506 0.85712 0.81918 0.64699 0.88148 0.92738 0.62129 15.000 15.010 15.005 0.51531 0.57636 0.55652 0.51205 0.59260 0.64205 0.50761 20.000 20.010 20.005 0.48253 0.49278 0.48914 0.48124 0.49524 0.50694 0.47770 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 7.10942E-03 6.82092E-03 1.39303E-02 5.77263E-03 0.081808 9 1 10.0 0.0 180.0 5.14469E-02 7.21875E-03 1.93192E-03 9.15067E-03 5.86140E-03 0.037552 9 4 10.0 45.0 135.0 5.65262E-02 7.19058E-03 2.25124E-03 9.44182E-03 5.83853E-03 0.039826 9 7 10.0 90.0 90.0 7.63717E-02 7.18438E-03 4.85946E-03 1.20438E-02 5.83349E-03 0.063629 8 1 20.0 0.0 180.0 4.04108E-02 7.30529E-03 9.90991E-04 8.29628E-03 5.93167E-03 0.024523 8 4 20.0 45.0 135.0 4.49881E-02 7.23590E-03 1.17356E-03 8.40946E-03 5.87533E-03 0.026086 8 7 20.0 90.0 90.0 6.61529E-02 7.24497E-03 2.77426E-03 1.00192E-02 5.88269E-03 0.041937 7 1 30.0 0.0 180.0 3.50384E-02 7.43815E-03 8.43451E-04 8.28160E-03 6.03955E-03 0.024072 7 4 30.0 45.0 135.0 3.88497E-02 7.43239E-03 9.47996E-04 8.38039E-03 6.03487E-03 0.024402 7 7 30.0 90.0 90.0 5.66278E-02 7.41728E-03 1.66580E-03 9.08308E-03 6.02260E-03 0.029417 6 1 40.0 0.0 180.0 3.32580E-02 7.55952E-03 9.37813E-04 8.49733E-03 6.13810E-03 0.028198 6 4 40.0 45.0 135.0 3.63659E-02 7.54702E-03 1.01712E-03 8.56415E-03 6.12795E-03 0.027969 6 7 40.0 90.0 90.0 5.10571E-02 7.56652E-03 1.47564E-03 9.04216E-03 6.14378E-03 0.028902 5 1 50.0 0.0 180.0 3.48699E-02 7.71884E-03 1.48143E-03 9.20027E-03 6.26746E-03 0.042485 5 4 50.0 45.0 135.0 3.71586E-02 7.66980E-03 1.54338E-03 9.21318E-03 6.22764E-03 0.041535 5 7 50.0 90.0 90.0 4.93930E-02 7.73183E-03 1.99530E-03 9.72713E-03 6.27800E-03 0.040396 4 1 60.0 0.0 180.0 4.13912E-02 7.66858E-03 3.45105E-03 1.11196E-02 6.22665E-03 0.083377 4 4 60.0 45.0 135.0 4.23279E-02 7.61478E-03 3.40785E-03 1.10226E-02 6.18297E-03 0.080511 4 7 60.0 90.0 90.0 5.22694E-02 7.80266E-03 3.97960E-03 1.17823E-02 6.33552E-03 0.076136 3 1 70.0 0.0 180.0 5.74306E-02 7.17287E-03 9.53273E-03 1.67056E-02 5.82415E-03 0.165987 3 4 70.0 45.0 135.0 5.58141E-02 7.20541E-03 9.17225E-03 1.63777E-02 5.85057E-03 0.164336 3 7 70.0 90.0 90.0 6.23988E-02 7.41852E-03 9.97439E-03 1.73929E-02 6.02361E-03 0.159849 2 1 80.0 0.0 180.0 9.75754E-02 6.18490E-03 2.36955E-02 2.98804E-02 5.02194E-03 0.242843 2 4 80.0 45.0 135.0 9.03529E-02 6.20256E-03 2.29185E-02 2.91211E-02 5.03629E-03 0.253655 2 7 80.0 90.0 90.0 8.97663E-02 6.41369E-03 2.40019E-02 3.04156E-02 5.20772E-03 0.267382 1 1 87.5 0.0 180.0 1.57761E-01 5.00760E-03 4.17903E-02 4.67980E-02 4.06602E-03 0.264896 1 4 87.5 45.0 135.0 1.42045E-01 4.78446E-03 4.15323E-02 4.63168E-02 3.88483E-03 0.292389 1 7 87.5 90.0 90.0 1.29229E-01 5.49477E-03 4.25056E-02 4.80004E-02 4.46158E-03 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 1.393E-02 8.338E-02 1.023E-01 8.861E-02 1.322E-01 1.131E-02 4.566E+00 7.109E-03 5.773E-03 1 0.00 0.00 1.319E-02 1.554E-01 2.547E-02 3.052E-02 4.275E-02 1.078E-02 4.220E+00 3 16.81 5.00 1.372E-04 6.667E-03 4.541E-04 4.918E-04 5.436E-04 1.485E-02 4.599E+00 5 33.62 10.00 3.109E-06 4.749E-05 6.758E-06 6.793E-06 6.830E-06 4.158E-02 3.932E+00 7 50.43 15.00 1.986E-07 8.906E-07 3.335E-07 3.335E-07 3.336E-07 1.031E-01 3.688E+00 9 67.24 20.00 1.698E-08 5.570E-08 2.721E-08 2.721E-08 2.721E-08 1.250E-01 3.642E+00 Waveband 33 of 40 completed in 16.2 sec. * * * * * Output for wavelength band 34 (680.0 to 690.0 nm; nominal wavelength = 685.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 25.9 m at 685.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 680.0 nm to 690.0 nm: Ed(diffuse) = 2.816E-01 Ed(direct) = 8.472E-01 Ed(total) = 1.129E+00 Absorption Coefficients of Individual Components at 685.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.4860 0.0252 0.0004 0.1126 0.6242 3 16.752 5.000 0.4860 0.0252 0.0004 0.1126 0.6242 5 33.504 10.000 0.4860 0.0252 0.0004 0.1126 0.6242 7 50.256 15.000 0.4860 0.0252 0.0004 0.1126 0.6242 9 67.009 20.000 0.4860 0.0252 0.0004 0.1126 0.6242 Scattering Coefficients of Individual Components at 685.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0007 0.3921 0.0000 2.3334 2.7263 3 16.752 5.000 0.0007 0.3921 0.0000 2.3334 2.7263 5 33.504 10.000 0.0007 0.3921 0.0000 2.3334 2.7263 7 50.256 15.000 0.0007 0.3921 0.0000 2.3334 2.7263 9 67.009 20.000 0.0007 0.3921 0.0000 2.3334 2.7263 Backscattering Coefficients of Individual Components at 685.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00037 0.00392 0.00000 0.07000 0.07429 3 16.752 5.000 0.00037 0.00392 0.00000 0.07000 0.07429 5 33.504 10.000 0.00037 0.00392 0.00000 0.07000 0.07429 7 50.256 15.000 0.00037 0.00392 0.00000 0.07000 0.07429 9 67.009 20.000 0.00037 0.00392 0.00000 0.07000 0.07429 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 0.6242 2.7263 3.3504 0.8137 0.07429 0.02725 3 16.752 5.000 0.6242 2.7263 3.3504 0.8137 0.07429 0.02725 5 33.504 10.000 0.6242 2.7263 3.3504 0.8137 0.07429 0.02725 7 50.256 15.000 0.6242 2.7263 3.3504 0.8137 0.07429 0.02725 9 67.009 20.000 0.6242 2.7263 3.3504 0.8137 0.07429 0.02725 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4324E-01 8 20.00 8.0793E-01 7 30.00 6.3301E-01 6 40.00 4.6147E-01 5 50.00 3.1948E-01 4 60.00 2.1468E-01 3 70.00 1.4302E-01 2 80.00 9.6503E-02 1 87.50 7.2611E-02 1 92.50 5.9828E-02 2 100.00 4.6661E-02 3 110.00 3.4906E-02 4 120.00 2.7268E-02 5 130.00 2.2339E-02 6 140.00 1.9158E-02 7 150.00 1.7129E-02 8 160.00 1.5886E-02 9 170.00 1.5214E-02 10 180.00 1.4978E-02 Asymptotic AOP values are MUu(inf) = 0.3802 MUd(inf) = 0.7077 MU(inf) = 0.6081 R(inf) = 0.0542 Lu(inf)/Ed(inf) = 0.010908 (1/sr) k(inf) = 1.0265 (1/m) absorp(check) = 0.6242 = 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 1.4328E-01 1.5481E+00 1.6914E+00 5.8804E-02 1.1288E+00 0.4104 0.7291 0.6326 5.2095E-02 1 0.00 0.00 1.2292E-01 1.3105E+00 1.4334E+00 5.2205E-02 1.1222E+00 0.4247 0.8563 0.7465 4.6521E-02 3 16.75 5.00 1.6540E-03 1.2545E-02 1.4199E-02 6.6576E-04 8.7619E-03 0.4025 0.6984 0.5702 7.5983E-02 5 33.50 10.00 3.6790E-05 1.2761E-04 1.6440E-04 1.6290E-05 8.2043E-05 0.4428 0.6429 0.3999 1.9856E-01 7 50.26 15.00 2.3008E-06 4.6162E-06 6.9170E-06 1.0553E-06 2.6488E-06 0.4587 0.5738 0.2304 3.9840E-01 9 67.01 20.00 1.9582E-07 3.5436E-07 5.5018E-07 9.0420E-08 1.9770E-07 0.4618 0.5579 0.1950 4.5735E-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 0.41802 0.59023 0.57545 0.55428 0.81348 0.82615 0.73916 5.000 5.010 5.005 0.88974 0.98426 0.97325 0.87399 0.99323 1.00304 0.84646 10.000 10.010 10.005 0.62756 0.80520 0.76543 0.61330 0.83217 0.88647 0.59344 15.000 15.010 15.005 0.50955 0.55473 0.53970 0.50705 0.56703 0.60677 0.50354 20.000 20.010 20.005 0.48019 0.48931 0.48607 0.47885 0.49133 0.50184 0.47498 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 6.69555E-03 6.24883E-03 1.29444E-02 5.93157E-03 0.082241 9 1 10.0 0.0 180.0 4.68840E-02 6.79767E-03 1.76499E-03 8.56266E-03 6.02204E-03 0.037646 9 4 10.0 45.0 135.0 5.15128E-02 6.77138E-03 2.05725E-03 8.82862E-03 5.99875E-03 0.039937 9 7 10.0 90.0 90.0 6.95981E-02 6.76585E-03 4.44880E-03 1.12147E-02 5.99385E-03 0.063921 8 1 20.0 0.0 180.0 3.68267E-02 6.87816E-03 9.03321E-04 7.78149E-03 6.09335E-03 0.024529 8 4 20.0 45.0 135.0 4.09980E-02 6.81325E-03 1.07005E-03 7.88330E-03 6.03584E-03 0.026100 8 7 20.0 90.0 90.0 6.02856E-02 6.82216E-03 2.53594E-03 9.35810E-03 6.04373E-03 0.042065 7 1 30.0 0.0 180.0 3.19307E-02 7.00213E-03 7.68643E-04 7.77077E-03 6.20317E-03 0.024072 7 4 30.0 45.0 135.0 3.54042E-02 6.99728E-03 8.63944E-04 7.86122E-03 6.19887E-03 0.024402 7 7 30.0 90.0 90.0 5.16043E-02 6.98327E-03 1.51958E-03 8.50285E-03 6.18646E-03 0.029447 6 1 40.0 0.0 180.0 3.03083E-02 7.11475E-03 8.54636E-04 7.96939E-03 6.30294E-03 0.028198 6 4 40.0 45.0 135.0 3.31405E-02 7.10361E-03 9.26912E-04 8.03052E-03 6.29307E-03 0.027969 6 7 40.0 90.0 90.0 4.65287E-02 7.12144E-03 1.34486E-03 8.46631E-03 6.30887E-03 0.028904 5 1 50.0 0.0 180.0 3.17773E-02 7.26316E-03 1.35004E-03 8.61320E-03 6.43442E-03 0.042485 5 4 50.0 45.0 135.0 3.38629E-02 7.21746E-03 1.40649E-03 8.62396E-03 6.39393E-03 0.041535 5 7 50.0 90.0 90.0 4.50123E-02 7.27405E-03 1.81834E-03 9.09238E-03 6.44406E-03 0.040396 4 1 60.0 0.0 180.0 3.77201E-02 7.21427E-03 3.14497E-03 1.03592E-02 6.39111E-03 0.083377 4 4 60.0 45.0 135.0 3.85738E-02 7.16385E-03 3.10560E-03 1.02695E-02 6.34644E-03 0.080511 4 7 60.0 90.0 90.0 4.76335E-02 7.33736E-03 3.62664E-03 1.09640E-02 6.50015E-03 0.076136 3 1 70.0 0.0 180.0 5.23369E-02 6.74616E-03 8.68725E-03 1.54334E-02 5.97640E-03 0.165987 3 4 70.0 45.0 135.0 5.08638E-02 6.77649E-03 8.35874E-03 1.51352E-02 6.00328E-03 0.164336 3 7 70.0 90.0 90.0 5.68645E-02 6.97190E-03 9.08974E-03 1.60616E-02 6.17639E-03 0.159849 2 1 80.0 0.0 180.0 8.89212E-02 5.81547E-03 2.15939E-02 2.74094E-02 5.15191E-03 0.242843 2 4 80.0 45.0 135.0 8.23393E-02 5.83143E-03 2.08858E-02 2.67172E-02 5.16605E-03 0.253655 2 7 80.0 90.0 90.0 8.18047E-02 6.02410E-03 2.18731E-02 2.78972E-02 5.33673E-03 0.267382 1 1 87.5 0.0 180.0 1.43769E-01 4.70721E-03 3.80839E-02 4.27911E-02 4.17010E-03 0.264896 1 4 87.5 45.0 135.0 1.29447E-01 4.49662E-03 3.78487E-02 4.23454E-02 3.98355E-03 0.292389 1 7 87.5 90.0 90.0 1.17768E-01 5.15779E-03 3.87357E-02 4.38935E-02 4.56928E-03 0.328916 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 685.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.294E-02 7.598E-02 9.328E-02 8.083E-02 1.206E-01 1.147E-02 4.543E+00 6.696E-03 5.932E-03 1 0.00 0.00 1.242E-02 1.416E-01 2.388E-02 2.852E-02 3.973E-02 1.107E-02 4.204E+00 3 16.75 5.00 1.487E-04 6.265E-03 4.584E-04 4.935E-04 5.419E-04 1.697E-02 4.476E+00 5 33.50 10.00 4.216E-06 4.962E-05 8.549E-06 8.582E-06 8.618E-06 5.138E-02 3.864E+00 7 50.26 15.00 2.866E-07 1.185E-06 4.774E-07 4.774E-07 4.774E-07 1.082E-01 3.683E+00 9 67.01 20.00 2.483E-08 8.075E-08 3.975E-08 3.975E-08 3.975E-08 1.256E-01 3.641E+00 Waveband 34 of 40 completed in 16.5 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 25.9 m at 695.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 690.0 nm to 700.0 nm: Ed(diffuse) = 2.700E-01 Ed(direct) = 8.188E-01 Ed(total) = 1.089E+00 Absorption Coefficients of Individual Components at 695.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.5590 0.0156 0.0003 0.0697 0.6446 3 16.864 5.000 0.5590 0.0156 0.0003 0.0697 0.6446 5 33.729 10.000 0.5590 0.0156 0.0003 0.0697 0.6446 7 50.593 15.000 0.5590 0.0156 0.0003 0.0697 0.6446 9 67.458 20.000 0.5590 0.0156 0.0003 0.0697 0.6446 Scattering Coefficients of Individual Components at 695.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0007 0.3865 0.0000 2.3411 2.7283 3 16.864 5.000 0.0007 0.3865 0.0000 2.3411 2.7283 5 33.729 10.000 0.0007 0.3865 0.0000 2.3411 2.7283 7 50.593 15.000 0.0007 0.3865 0.0000 2.3411 2.7283 9 67.458 20.000 0.0007 0.3865 0.0000 2.3411 2.7283 Backscattering Coefficients of Individual Components at 695.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00035 0.00387 0.00000 0.07023 0.07445 3 16.864 5.000 0.00035 0.00387 0.00000 0.07023 0.07445 5 33.729 10.000 0.00035 0.00387 0.00000 0.07023 0.07445 7 50.593 15.000 0.00035 0.00387 0.00000 0.07023 0.07445 9 67.458 20.000 0.00035 0.00387 0.00000 0.07023 0.07445 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 0.6446 2.7283 3.3729 0.8089 0.07445 0.02729 3 16.864 5.000 0.6446 2.7283 3.3729 0.8089 0.07445 0.02729 5 33.729 10.000 0.6446 2.7283 3.3729 0.8089 0.07445 0.02729 7 50.593 15.000 0.6446 2.7283 3.3729 0.8089 0.07445 0.02729 9 67.458 20.000 0.6446 2.7283 3.3729 0.8089 0.07445 0.02729 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4218E-01 8 20.00 8.0466E-01 7 30.00 6.2766E-01 6 40.00 4.5510E-01 5 50.00 3.1324E-01 4 60.00 2.0929E-01 3 70.00 1.3871E-01 2 80.00 9.3182E-02 1 87.50 6.9919E-02 1 92.50 5.7523E-02 2 100.00 4.4782E-02 3 110.00 3.3441E-02 4 120.00 2.6096E-02 5 130.00 2.1369E-02 6 140.00 1.8326E-02 7 150.00 1.6388E-02 8 160.00 1.5203E-02 9 170.00 1.4564E-02 10 180.00 1.4339E-02 Asymptotic AOP values are MUu(inf) = 0.3798 MUd(inf) = 0.7103 MU(inf) = 0.6129 R(inf) = 0.0525 Lu(inf)/Ed(inf) = 0.010561 (1/sr) k(inf) = 1.0518 (1/m) absorp(check) = 0.6446 = 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 1.3571E-01 1.4919E+00 1.6276E+00 5.5556E-02 1.0888E+00 0.4094 0.7298 0.6348 5.1025E-02 1 0.00 0.00 1.1310E-01 1.2596E+00 1.3727E+00 4.7895E-02 1.0811E+00 0.4235 0.8583 0.7527 4.4301E-02 3 16.86 5.00 1.2795E-03 1.0430E-02 1.1709E-02 5.1059E-04 7.3346E-03 0.3990 0.7032 0.5828 6.9614E-02 5 33.73 10.00 2.4918E-05 8.9500E-05 1.1442E-04 1.1036E-05 5.8009E-05 0.4429 0.6481 0.4105 1.9025E-01 7 50.59 15.00 1.5734E-06 3.0775E-06 4.6509E-06 7.2415E-07 1.7590E-06 0.4603 0.5715 0.2225 4.1169E-01 9 67.46 20.00 1.3753E-07 2.4310E-07 3.8063E-07 6.3712E-08 1.3506E-07 0.4632 0.5556 0.1875 4.7172E-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 0.42877 0.60981 0.59488 0.57298 0.83751 0.84979 0.76493 5.000 5.010 5.005 0.92885 1.01683 1.00721 0.91319 1.02465 1.03299 0.88529 10.000 10.010 10.005 0.63502 0.83417 0.79076 0.61879 0.86309 0.92057 0.59628 15.000 15.010 15.005 0.50401 0.55081 0.53497 0.50151 0.56393 0.60764 0.49800 20.000 20.010 20.005 0.47529 0.48365 0.48063 0.47400 0.48548 0.49573 0.47024 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 6.12199E-03 6.02455E-03 1.21465E-02 5.62278E-03 0.082679 9 1 10.0 0.0 180.0 4.49620E-02 6.21765E-03 1.69691E-03 7.91457E-03 5.71064E-03 0.037741 9 4 10.0 45.0 135.0 4.94011E-02 6.19280E-03 1.97842E-03 8.17122E-03 5.68781E-03 0.040048 9 7 10.0 90.0 90.0 6.67449E-02 6.18604E-03 4.28615E-03 1.04722E-02 5.68160E-03 0.064217 8 1 20.0 0.0 180.0 3.53170E-02 6.29253E-03 8.66506E-04 7.15904E-03 5.77941E-03 0.024535 8 4 20.0 45.0 135.0 3.93173E-02 6.23177E-03 1.02674E-03 7.25851E-03 5.72360E-03 0.026114 8 7 20.0 90.0 90.0 5.78143E-02 6.23726E-03 2.43949E-03 8.67675E-03 5.72865E-03 0.042195 7 1 30.0 0.0 180.0 3.06217E-02 6.40696E-03 7.37133E-04 7.14409E-03 5.88451E-03 0.024072 7 4 30.0 45.0 135.0 3.39530E-02 6.40061E-03 8.28554E-04 7.22916E-03 5.87867E-03 0.024403 7 7 30.0 90.0 90.0 4.94878E-02 6.38440E-03 1.45876E-03 7.84316E-03 5.86379E-03 0.029477 6 1 40.0 0.0 180.0 2.90658E-02 6.51090E-03 8.19600E-04 7.33050E-03 5.97997E-03 0.028198 6 4 40.0 45.0 135.0 3.17819E-02 6.49831E-03 8.88913E-04 7.38722E-03 5.96840E-03 0.027969 6 7 40.0 90.0 90.0 4.46213E-02 6.51098E-03 1.28983E-03 7.80080E-03 5.98004E-03 0.028906 5 1 50.0 0.0 180.0 3.04746E-02 6.64734E-03 1.29470E-03 7.94204E-03 6.10528E-03 0.042485 5 4 50.0 45.0 135.0 3.24747E-02 6.60299E-03 1.34884E-03 7.95182E-03 6.06455E-03 0.041535 5 7 50.0 90.0 90.0 4.31670E-02 6.65174E-03 1.74379E-03 8.39554E-03 6.10933E-03 0.040396 4 1 60.0 0.0 180.0 3.61738E-02 6.60326E-03 3.01605E-03 9.61931E-03 6.06480E-03 0.083377 4 4 60.0 45.0 135.0 3.69924E-02 6.55464E-03 2.97829E-03 9.53293E-03 6.02015E-03 0.080511 4 7 60.0 90.0 90.0 4.56808E-02 6.71141E-03 3.47797E-03 1.01894E-02 6.16413E-03 0.076136 3 1 70.0 0.0 180.0 5.01914E-02 6.17576E-03 8.33112E-03 1.45069E-02 5.67216E-03 0.165987 3 4 70.0 45.0 135.0 4.87787E-02 6.20151E-03 8.01608E-03 1.42176E-02 5.69581E-03 0.164336 3 7 70.0 90.0 90.0 5.45334E-02 6.38025E-03 8.71711E-03 1.50974E-02 5.85998E-03 0.159849 2 1 80.0 0.0 180.0 8.52759E-02 5.32474E-03 2.07087E-02 2.60334E-02 4.89054E-03 0.242843 2 4 80.0 45.0 135.0 7.89638E-02 5.33797E-03 2.00296E-02 2.53676E-02 4.90269E-03 0.253655 2 7 80.0 90.0 90.0 7.84512E-02 5.51578E-03 2.09764E-02 2.64922E-02 5.06600E-03 0.267382 1 1 87.5 0.0 180.0 1.37875E-01 4.31108E-03 3.65226E-02 4.08337E-02 3.95954E-03 0.264896 1 4 87.5 45.0 135.0 1.24140E-01 4.11748E-03 3.62971E-02 4.04146E-02 3.78172E-03 0.292389 1 7 87.5 90.0 90.0 1.12940E-01 4.72572E-03 3.71477E-02 4.18735E-02 4.34036E-03 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 1.215E-02 7.287E-02 8.935E-02 7.741E-02 1.155E-01 1.116E-02 4.574E+00 6.122E-03 5.623E-03 1 0.00 0.00 1.135E-02 1.358E-01 2.196E-02 2.632E-02 3.693E-02 1.050E-02 4.218E+00 3 16.86 5.00 1.126E-04 5.330E-03 3.608E-04 3.898E-04 4.298E-04 1.535E-02 4.534E+00 5 33.73 10.00 2.863E-06 3.592E-05 5.799E-06 5.823E-06 5.849E-06 4.935E-02 3.855E+00 7 50.59 15.00 1.979E-07 7.813E-07 3.233E-07 3.233E-07 3.233E-07 1.125E-01 3.658E+00 9 67.46 20.00 1.761E-08 5.462E-08 2.767E-08 2.767E-08 2.767E-08 1.304E-01 3.618E+00 Waveband 35 of 40 completed in 16.3 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 25.7 m at 705.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 700.0 nm to 710.0 nm: Ed(diffuse) = 2.706E-01 Ed(direct) = 8.263E-01 Ed(total) = 1.097E+00 Absorption Coefficients of Individual Components at 705.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.7040 0.0096 0.0003 0.0429 0.7568 3 17.361 5.000 0.7040 0.0096 0.0003 0.0429 0.7568 5 34.721 10.000 0.7040 0.0096 0.0003 0.0429 0.7568 7 52.082 15.000 0.7040 0.0096 0.0003 0.0429 0.7568 9 69.443 20.000 0.7040 0.0096 0.0003 0.0429 0.7568 Scattering Coefficients of Individual Components at 705.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0007 0.3810 0.0000 2.3337 2.7154 3 17.361 5.000 0.0007 0.3810 0.0000 2.3337 2.7154 5 34.721 10.000 0.0007 0.3810 0.0000 2.3337 2.7154 7 52.082 15.000 0.0007 0.3810 0.0000 2.3337 2.7154 9 69.443 20.000 0.0007 0.3810 0.0000 2.3337 2.7154 Backscattering Coefficients of Individual Components at 705.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00033 0.00381 0.00000 0.07001 0.07415 3 17.361 5.000 0.00033 0.00381 0.00000 0.07001 0.07415 5 34.721 10.000 0.00033 0.00381 0.00000 0.07001 0.07415 7 52.082 15.000 0.00033 0.00381 0.00000 0.07001 0.07415 9 69.443 20.000 0.00033 0.00381 0.00000 0.07001 0.07415 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 0.7568 2.7154 3.4721 0.7820 0.07415 0.02731 3 17.361 5.000 0.7568 2.7154 3.4721 0.7820 0.07415 0.02731 5 34.721 10.000 0.7568 2.7154 3.4721 0.7820 0.07415 0.02731 7 52.082 15.000 0.7568 2.7154 3.4721 0.7820 0.07415 0.02731 9 69.443 20.000 0.7568 2.7154 3.4721 0.7820 0.07415 0.02731 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3607E-01 8 20.00 7.8605E-01 7 30.00 5.9773E-01 6 40.00 4.2025E-01 5 50.00 2.7990E-01 4 60.00 1.8115E-01 3 70.00 1.1668E-01 2 80.00 7.6522E-02 1 87.50 5.6579E-02 1 92.50 4.6177E-02 2 100.00 3.5612E-02 3 110.00 2.6355E-02 4 120.00 2.0464E-02 5 130.00 1.6727E-02 6 140.00 1.4351E-02 7 150.00 1.2854E-02 8 160.00 1.1946E-02 9 170.00 1.1459E-02 10 180.00 1.1288E-02 Asymptotic AOP values are MUu(inf) = 0.3777 MUd(inf) = 0.7244 MU(inf) = 0.6388 R(inf) = 0.0440 Lu(inf)/Ed(inf) = 0.008854 (1/sr) k(inf) = 1.1848 (1/m) absorp(check) = 0.7568 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 705.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.2884E-01 1.5018E+00 1.6307E+00 5.2002E-02 1.0969E+00 0.4036 0.7304 0.6408 4.7407E-02 1 0.00 0.00 9.3923E-02 1.2528E+00 1.3467E+00 3.9364E-02 1.0843E+00 0.4191 0.8655 0.7759 3.6305E-02 3 17.36 5.00 5.0879E-04 5.1190E-03 5.6278E-03 2.0002E-04 3.6873E-03 0.3931 0.7203 0.6196 5.4247E-02 5 34.72 10.00 7.4383E-06 2.4190E-05 3.1628E-05 3.3633E-06 1.5666E-05 0.4522 0.6476 0.3890 2.1469E-01 7 52.08 15.00 5.3909E-07 9.2211E-07 1.4612E-06 2.5179E-07 5.1258E-07 0.4671 0.5559 0.1785 4.9122E-01 9 69.44 20.00 5.0618E-08 8.2134E-08 1.3275E-07 2.3727E-08 4.4938E-08 0.4688 0.5471 0.1598 5.2800E-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 0.50665 0.72131 0.70632 0.68034 0.96364 0.97432 0.89334 5.000 5.010 5.005 1.06810 1.16032 1.15198 1.04913 1.16656 1.17330 1.01466 10.000 10.010 10.005 0.61143 0.88554 0.82101 0.59361 0.92976 1.02186 0.57020 15.000 15.010 15.005 0.48400 0.51261 0.50205 0.48262 0.52187 0.55978 0.48053 20.000 20.010 20.005 0.46512 0.46923 0.46766 0.46432 0.47003 0.47643 0.46179 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 4.99278E-03 6.06697E-03 1.10597E-02 4.55163E-03 0.083090 9 1 10.0 0.0 180.0 4.50545E-02 5.07956E-03 1.70444E-03 6.78399E-03 4.63074E-03 0.037831 9 4 10.0 45.0 135.0 4.95027E-02 5.05608E-03 1.98768E-03 7.04376E-03 4.60934E-03 0.040153 9 7 10.0 90.0 90.0 6.68822E-02 5.04337E-03 4.31355E-03 9.35692E-03 4.59775E-03 0.064495 8 1 20.0 0.0 180.0 3.53897E-02 5.14447E-03 8.68492E-04 6.01296E-03 4.68992E-03 0.024541 8 4 20.0 45.0 135.0 3.93982E-02 5.08943E-03 1.02938E-03 6.11881E-03 4.63974E-03 0.026128 8 7 20.0 90.0 90.0 5.79332E-02 5.08241E-03 2.45157E-03 7.53398E-03 4.63334E-03 0.042317 7 1 30.0 0.0 180.0 3.06847E-02 5.24045E-03 7.38649E-04 5.97910E-03 4.77742E-03 0.024072 7 4 30.0 45.0 135.0 3.40230E-02 5.22776E-03 8.30284E-04 6.05804E-03 4.76585E-03 0.024404 7 7 30.0 90.0 90.0 4.95886E-02 5.19921E-03 1.46315E-03 6.66236E-03 4.73982E-03 0.029506 6 1 40.0 0.0 180.0 2.91256E-02 5.32641E-03 8.21286E-04 6.14770E-03 4.85578E-03 0.028198 6 4 40.0 45.0 135.0 3.18473E-02 5.30649E-03 8.90742E-04 6.19723E-03 4.83762E-03 0.027969 6 7 40.0 90.0 90.0 4.47131E-02 5.29847E-03 1.29257E-03 6.59104E-03 4.83031E-03 0.028908 5 1 50.0 0.0 180.0 3.05372E-02 5.43801E-03 1.29736E-03 6.73537E-03 4.95752E-03 0.042485 5 4 50.0 45.0 135.0 3.25416E-02 5.39108E-03 1.35161E-03 6.74269E-03 4.91474E-03 0.041535 5 7 50.0 90.0 90.0 4.32558E-02 5.41227E-03 1.74738E-03 7.15965E-03 4.93406E-03 0.040396 4 1 60.0 0.0 180.0 3.62482E-02 5.40205E-03 3.02225E-03 8.42430E-03 4.92473E-03 0.083377 4 4 60.0 45.0 135.0 3.70685E-02 5.35124E-03 2.98442E-03 8.33565E-03 4.87842E-03 0.080511 4 7 60.0 90.0 90.0 4.57748E-02 5.46168E-03 3.48512E-03 8.94680E-03 4.97909E-03 0.076136 3 1 70.0 0.0 180.0 5.02946E-02 5.05341E-03 8.34826E-03 1.34017E-02 4.60691E-03 0.165987 3 4 70.0 45.0 135.0 4.88790E-02 5.06443E-03 8.03257E-03 1.30970E-02 4.61695E-03 0.164336 3 7 70.0 90.0 90.0 5.46456E-02 5.19721E-03 8.73504E-03 1.39323E-02 4.73800E-03 0.159849 2 1 80.0 0.0 180.0 8.54513E-02 4.35876E-03 2.07513E-02 2.51100E-02 3.97363E-03 0.242843 2 4 80.0 45.0 135.0 7.91262E-02 4.36154E-03 2.00708E-02 2.44323E-02 3.97617E-03 0.253655 2 7 80.0 90.0 90.0 7.86126E-02 4.49869E-03 2.10196E-02 2.55183E-02 4.10120E-03 0.267382 1 1 87.5 0.0 180.0 1.38159E-01 3.53156E-03 3.65978E-02 4.01293E-02 3.21952E-03 0.264896 1 4 87.5 45.0 135.0 1.24395E-01 3.36746E-03 3.63718E-02 3.97393E-02 3.06992E-03 0.292389 1 7 87.5 90.0 90.0 1.13172E-01 3.86167E-03 3.72242E-02 4.10858E-02 3.52046E-03 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 1.106E-02 7.302E-02 8.914E-02 7.713E-02 1.153E-01 1.008E-02 4.702E+00 4.993E-03 4.552E-03 1 0.00 0.00 9.260E-03 1.360E-01 1.830E-02 2.214E-02 3.171E-02 8.541E-03 4.251E+00 3 17.36 5.00 4.347E-05 2.862E-03 1.485E-04 1.615E-04 1.795E-04 1.179E-02 4.602E+00 5 34.72 10.00 9.051E-07 9.985E-06 1.638E-06 1.644E-06 1.649E-06 5.778E-02 3.716E+00 7 52.08 15.00 7.072E-08 2.115E-07 1.061E-07 1.061E-07 1.061E-07 1.380E-01 3.560E+00 9 69.44 20.00 6.710E-09 1.751E-08 9.849E-09 9.849E-09 9.849E-09 1.493E-01 3.536E+00 Waveband 36 of 40 completed in 17.2 sec. * * * * * Output for wavelength band 37 (710.0 to 720.0 nm; nominal wavelength = 715.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 25.3 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 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 1.0070 0.0042 0.0003 0.0188 1.0302 3 18.655 5.000 1.0070 0.0042 0.0003 0.0188 1.0302 5 37.311 10.000 1.0070 0.0042 0.0003 0.0188 1.0302 7 55.966 15.000 1.0070 0.0042 0.0003 0.0188 1.0302 9 74.622 20.000 1.0070 0.0042 0.0003 0.0188 1.0302 Scattering Coefficients of Individual Components at 715.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0006 0.3757 0.0000 2.3246 2.7009 3 18.655 5.000 0.0006 0.3757 0.0000 2.3246 2.7009 5 37.311 10.000 0.0006 0.3757 0.0000 2.3246 2.7009 7 55.966 15.000 0.0006 0.3757 0.0000 2.3246 2.7009 9 74.622 20.000 0.0006 0.3757 0.0000 2.3246 2.7009 Backscattering Coefficients of Individual Components at 715.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00031 0.00376 0.00000 0.06974 0.07380 3 18.655 5.000 0.00031 0.00376 0.00000 0.06974 0.07380 5 37.311 10.000 0.00031 0.00376 0.00000 0.06974 0.07380 7 55.966 15.000 0.00031 0.00376 0.00000 0.06974 0.07380 9 74.622 20.000 0.00031 0.00376 0.00000 0.06974 0.07380 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 1.0302 2.7009 3.7311 0.7239 0.07380 0.02733 3 18.655 5.000 1.0302 2.7009 3.7311 0.7239 0.07380 0.02733 5 37.311 10.000 1.0302 2.7009 3.7311 0.7239 0.07380 0.02733 7 55.966 15.000 1.0302 2.7009 3.7311 0.7239 0.07380 0.02733 9 74.622 20.000 1.0302 2.7009 3.7311 0.7239 0.07380 0.02733 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.2238E-01 8 20.00 7.4562E-01 7 30.00 5.3591E-01 6 40.00 3.5244E-01 5 50.00 2.1907E-01 4 60.00 1.3292E-01 3 70.00 8.0985E-02 2 80.00 5.0794E-02 1 87.50 3.6587E-02 1 92.50 2.9468E-02 2 100.00 2.2382E-02 3 110.00 1.6339E-02 4 120.00 1.2611E-02 5 130.00 1.0305E-02 6 140.00 8.8706E-03 7 150.00 7.9843E-03 8 160.00 7.4559E-03 9 170.00 7.1761E-03 10 180.00 7.0786E-03 Asymptotic AOP values are MUu(inf) = 0.3752 MUd(inf) = 0.7520 MU(inf) = 0.6860 R(inf) = 0.0311 Lu(inf)/Ed(inf) = 0.006324 (1/sr) k(inf) = 1.5019 (1/m) absorp(check) = 1.0303 = 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 1.0898E-01 1.3742E+00 1.4832E+00 4.3068E-02 1.0045E+00 0.3952 0.7310 0.6482 4.2876E-02 1 0.00 0.00 6.1964E-02 1.1277E+00 1.1896E+00 2.5585E-02 9.8699E-01 0.4129 0.8752 0.8081 2.5922E-02 3 18.66 5.00 7.4080E-05 9.0489E-04 9.7897E-04 2.9743E-05 6.7469E-04 0.4015 0.7456 0.6588 4.4084E-02 5 37.31 10.00 1.7114E-06 2.9546E-06 4.6660E-06 8.1132E-07 1.6934E-06 0.4741 0.5731 0.1890 4.7911E-01 7 55.97 15.00 1.5946E-07 2.3206E-07 3.9152E-07 7.6000E-08 1.2472E-07 0.4766 0.5374 0.1244 6.0936E-01 9 74.62 20.00 1.5805E-08 2.2848E-08 3.8653E-08 7.5391E-09 1.2262E-08 0.4770 0.5367 0.1222 6.1485E-01 K-functions (units of 1/meter) at 715.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.73571 1.00658 0.99246 0.95691 1.26781 1.27610 1.19835 5.000 5.010 5.005 1.23567 1.46706 1.44953 1.18843 1.47706 1.49039 1.10909 10.000 10.010 10.005 0.49627 0.64667 0.59148 0.49208 0.69886 0.88943 0.48693 15.000 15.010 15.005 0.46566 0.46830 0.46722 0.46544 0.46907 0.47473 0.46499 20.000 20.010 20.005 0.45949 0.46043 0.46005 0.45925 0.46058 0.46270 0.45846 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 715.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 6.65321E-02 3.23053E-03 5.55348E-03 8.78401E-03 3.21614E-03 0.083471 9 1 10.0 0.0 180.0 4.10531E-02 3.29681E-03 1.55646E-03 4.85327E-03 3.28212E-03 0.037913 9 4 10.0 45.0 135.0 4.51062E-02 3.27783E-03 1.81552E-03 5.09335E-03 3.26323E-03 0.040250 9 7 10.0 90.0 90.0 6.09422E-02 3.26083E-03 3.94612E-03 7.20695E-03 3.24630E-03 0.064752 8 1 20.0 0.0 180.0 3.22466E-02 3.34249E-03 7.91531E-04 4.13402E-03 3.32760E-03 0.024546 8 4 20.0 45.0 135.0 3.58992E-02 3.30042E-03 9.38408E-04 4.23882E-03 3.28571E-03 0.026140 8 7 20.0 90.0 90.0 5.27880E-02 3.28163E-03 2.23980E-03 5.52143E-03 3.26701E-03 0.042430 7 1 30.0 0.0 180.0 2.79595E-02 3.40655E-03 6.73047E-04 4.07960E-03 3.39137E-03 0.024072 7 4 30.0 45.0 135.0 3.10015E-02 3.38946E-03 7.56566E-04 4.14603E-03 3.37436E-03 0.024404 7 7 30.0 90.0 90.0 4.51837E-02 3.35161E-03 1.33438E-03 4.68599E-03 3.33668E-03 0.029532 6 1 40.0 0.0 180.0 2.65389E-02 3.46150E-03 7.48345E-04 4.20984E-03 3.44607E-03 0.028198 6 4 40.0 45.0 135.0 2.90189E-02 3.43705E-03 8.11633E-04 4.24868E-03 3.42174E-03 0.027969 6 7 40.0 90.0 90.0 4.07420E-02 3.40760E-03 1.17785E-03 4.58545E-03 3.39242E-03 0.028910 5 1 50.0 0.0 180.0 2.78252E-02 3.53177E-03 1.18214E-03 4.71391E-03 3.51604E-03 0.042485 5 4 50.0 45.0 135.0 2.96514E-02 3.48825E-03 1.23157E-03 4.71982E-03 3.47271E-03 0.041535 5 7 50.0 90.0 90.0 3.94141E-02 3.47564E-03 1.59219E-03 5.06783E-03 3.46015E-03 0.040396 4 1 60.0 0.0 180.0 3.30289E-02 3.50616E-03 2.75384E-03 6.25999E-03 3.49054E-03 0.083377 4 4 60.0 45.0 135.0 3.37764E-02 3.45926E-03 2.71936E-03 6.17862E-03 3.44385E-03 0.080511 4 7 60.0 90.0 90.0 4.17094E-02 3.50372E-03 3.17560E-03 6.67932E-03 3.48811E-03 0.076136 3 1 70.0 0.0 180.0 4.58278E-02 3.27843E-03 7.60683E-03 1.08853E-02 3.26383E-03 0.165987 3 4 70.0 45.0 135.0 4.45379E-02 3.27229E-03 7.31918E-03 1.05915E-02 3.25771E-03 0.164336 3 7 70.0 90.0 90.0 4.97924E-02 3.33435E-03 7.95926E-03 1.12936E-02 3.31949E-03 0.159849 2 1 80.0 0.0 180.0 7.78622E-02 2.82751E-03 1.89083E-02 2.17358E-02 2.81491E-03 0.242843 2 4 80.0 45.0 135.0 7.20988E-02 2.81807E-03 1.82883E-02 2.11063E-02 2.80551E-03 0.253655 2 7 80.0 90.0 90.0 7.16308E-02 2.88834E-03 1.91528E-02 2.20411E-02 2.87547E-03 0.267382 1 1 87.5 0.0 180.0 1.25889E-01 2.29204E-03 3.33474E-02 3.56395E-02 2.28182E-03 0.264896 1 4 87.5 45.0 135.0 1.13347E-01 2.17732E-03 3.31415E-02 3.53189E-02 2.16762E-03 0.292389 1 7 87.5 90.0 90.0 1.03121E-01 2.48404E-03 3.39182E-02 3.64022E-02 2.47297E-03 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 8.784E-03 6.653E-02 8.076E-02 6.976E-02 1.044E-01 8.745E-03 4.903E+00 3.231E-03 3.216E-03 1 0.00 0.00 5.993E-03 1.239E-01 1.221E-02 1.491E-02 2.192E-02 6.072E-03 4.270E+00 3 18.66 5.00 6.855E-06 5.882E-04 2.117E-05 2.292E-05 2.536E-05 1.016E-02 4.339E+00 5 37.31 10.00 2.354E-07 8.235E-07 3.241E-07 3.243E-07 3.244E-07 1.390E-01 3.447E+00 7 55.97 15.00 2.221E-08 4.673E-08 2.960E-08 2.960E-08 2.960E-08 1.781E-01 3.421E+00 9 74.62 20.00 2.208E-09 4.572E-09 2.926E-09 2.926E-09 2.926E-09 1.800E-01 3.415E+00 Waveband 37 of 40 completed in 18.6 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 24.8 m at 725.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 720.0 nm to 730.0 nm: Ed(diffuse) = 2.217E-01 Ed(direct) = 6.861E-01 Ed(total) = 9.077E-01 Absorption Coefficients of Individual Components at 725.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 1.4890 0.0018 0.0002 0.0080 1.4991 3 20.866 5.000 1.4890 0.0018 0.0002 0.0080 1.4991 5 41.731 10.000 1.4890 0.0018 0.0002 0.0080 1.4991 7 62.597 15.000 1.4890 0.0018 0.0002 0.0080 1.4991 9 83.462 20.000 1.4890 0.0018 0.0002 0.0080 1.4991 Scattering Coefficients of Individual Components at 725.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0006 0.3705 0.0000 2.3030 2.6741 3 20.866 5.000 0.0006 0.3705 0.0000 2.3030 2.6741 5 41.731 10.000 0.0006 0.3705 0.0000 2.3030 2.6741 7 62.597 15.000 0.0006 0.3705 0.0000 2.3030 2.6741 9 83.462 20.000 0.0006 0.3705 0.0000 2.3030 2.6741 Backscattering Coefficients of Individual Components at 725.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00029 0.00371 0.00000 0.06909 0.07308 3 20.866 5.000 0.00029 0.00371 0.00000 0.06909 0.07308 5 41.731 10.000 0.00029 0.00371 0.00000 0.06909 0.07308 7 62.597 15.000 0.00029 0.00371 0.00000 0.06909 0.07308 9 83.462 20.000 0.00029 0.00371 0.00000 0.06909 0.07308 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 1.4991 2.6741 4.1731 0.6408 0.07308 0.02733 3 20.866 5.000 1.4991 2.6741 4.1731 0.6408 0.07308 0.02733 5 41.731 10.000 1.4991 2.6741 4.1731 0.6408 0.07308 0.02733 7 62.597 15.000 1.4991 2.6741 4.1731 0.6408 0.07308 0.02733 9 83.462 20.000 1.4991 2.6741 4.1731 0.6408 0.07308 0.02733 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.0098E-01 8 20.00 6.8601E-01 7 30.00 4.5239E-01 6 40.00 2.6982E-01 5 50.00 1.5241E-01 4 60.00 8.5048E-02 3 70.00 4.8466E-02 2 80.00 2.8929E-02 1 87.50 2.0288E-02 1 92.50 1.6151E-02 2 100.00 1.2107E-02 3 110.00 8.7508E-03 4 120.00 6.7446E-03 5 130.00 5.5365E-03 6 140.00 4.8035E-03 7 150.00 4.3613E-03 8 160.00 4.1035E-03 9 170.00 3.9694E-03 10 180.00 3.9231E-03 Asymptotic AOP values are MUu(inf) = 0.3750 MUd(inf) = 0.7863 MU(inf) = 0.7394 R(inf) = 0.0201 Lu(inf)/Ed(inf) = 0.004190 (1/sr) k(inf) = 2.0275 (1/m) absorp(check) = 1.4991 = 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 9.1866E-02 1.2409E+00 1.3327E+00 3.5600E-02 9.0772E-01 0.3875 0.7315 0.6544 3.9219E-02 1 0.00 0.00 3.7782E-02 1.0042E+00 1.0420E+00 1.5370E-02 8.8748E-01 0.4068 0.8837 0.8369 1.7318E-02 3 20.87 5.00 9.6916E-06 6.1796E-05 7.1488E-05 4.4483E-06 4.6026E-05 0.4590 0.7448 0.5816 9.6648E-02 5 41.73 10.00 6.5248E-07 8.6779E-07 1.5203E-06 3.1551E-07 4.5991E-07 0.4836 0.5300 0.0950 6.8603E-01 7 62.60 15.00 5.8614E-08 7.7505E-08 1.3612E-07 2.8357E-08 4.1001E-08 0.4838 0.5290 0.0929 6.9162E-01 9 83.46 20.00 5.4125E-09 7.1355E-09 1.2548E-08 2.6193E-09 3.7724E-09 0.4839 0.5287 0.0919 6.9434E-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 1.18430 1.51618 1.50412 1.45372 1.78761 1.79350 1.71871 5.000 5.010 5.005 0.83512 1.77428 1.64644 0.77317 1.84882 1.96459 0.69938 10.000 10.010 10.005 0.48546 0.48875 0.48734 0.48531 0.49070 0.50246 0.48507 15.000 15.010 15.005 0.47897 0.47955 0.47930 0.47889 0.47973 0.48160 0.47877 20.000 20.010 20.005 0.47415 0.47462 0.47442 0.47408 0.47476 0.47631 0.47398 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 1.94267E-03 5.01651E-03 6.95917E-03 2.14016E-03 0.083868 9 1 10.0 0.0 180.0 3.69077E-02 1.98925E-03 1.40249E-03 3.39174E-03 2.19148E-03 0.038000 9 4 10.0 45.0 135.0 4.05516E-02 1.97529E-03 1.63631E-03 3.61159E-03 2.17610E-03 0.040351 9 7 10.0 90.0 90.0 5.47885E-02 1.95906E-03 3.56238E-03 5.52145E-03 2.15822E-03 0.065021 8 1 20.0 0.0 180.0 2.89905E-02 2.01891E-03 7.11767E-04 2.73067E-03 2.22415E-03 0.024552 8 4 20.0 45.0 135.0 3.22742E-02 1.98925E-03 8.44069E-04 2.83332E-03 2.19148E-03 0.026153 8 7 20.0 90.0 90.0 4.74577E-02 1.96814E-03 2.01923E-03 3.98738E-03 2.16823E-03 0.042548 7 1 30.0 0.0 180.0 2.51363E-02 2.05832E-03 6.05085E-04 2.66340E-03 2.26757E-03 0.024072 7 4 30.0 45.0 135.0 2.78712E-02 2.04204E-03 6.80191E-04 2.72223E-03 2.24964E-03 0.024405 7 7 30.0 90.0 90.0 4.06205E-02 2.00581E-03 1.20074E-03 3.20655E-03 2.20972E-03 0.029560 6 1 40.0 0.0 180.0 2.38591E-02 2.09008E-03 6.72780E-04 2.76286E-03 2.30256E-03 0.028198 6 4 40.0 45.0 135.0 2.60886E-02 2.06751E-03 7.29677E-04 2.79718E-03 2.27769E-03 0.027969 6 7 40.0 90.0 90.0 3.66280E-02 2.03261E-03 1.05899E-03 3.09159E-03 2.23924E-03 0.028912 5 1 50.0 0.0 180.0 2.50155E-02 2.13000E-03 1.06277E-03 3.19277E-03 2.34654E-03 0.042485 5 4 50.0 45.0 135.0 2.66574E-02 2.09476E-03 1.10721E-03 3.20197E-03 2.30772E-03 0.041535 5 7 50.0 90.0 90.0 3.54342E-02 2.06804E-03 1.43142E-03 3.49946E-03 2.27828E-03 0.040396 4 1 60.0 0.0 180.0 2.96938E-02 2.11190E-03 2.47576E-03 4.58767E-03 2.32660E-03 0.083377 4 4 60.0 45.0 135.0 3.03658E-02 2.07394E-03 2.44477E-03 4.51871E-03 2.28477E-03 0.080511 4 7 60.0 90.0 90.0 3.74977E-02 2.08042E-03 2.85494E-03 4.93535E-03 2.29191E-03 0.076136 3 1 70.0 0.0 180.0 4.12003E-02 1.97234E-03 6.83872E-03 8.81106E-03 2.17285E-03 0.165987 3 4 70.0 45.0 135.0 4.00407E-02 1.95918E-03 6.58011E-03 8.53929E-03 2.15835E-03 0.164336 3 7 70.0 90.0 90.0 4.47645E-02 1.97767E-03 7.15556E-03 9.13324E-03 2.17873E-03 0.159849 2 1 80.0 0.0 180.0 6.99999E-02 1.69967E-03 1.69990E-02 1.86987E-02 1.87246E-03 0.242843 2 4 80.0 45.0 135.0 6.48186E-02 1.68579E-03 1.64416E-02 1.81274E-02 1.85717E-03 0.253655 2 7 80.0 90.0 90.0 6.43978E-02 1.71266E-03 1.72188E-02 1.89315E-02 1.88677E-03 0.267382 1 1 87.5 0.0 180.0 1.13177E-01 1.37748E-03 2.99801E-02 3.13576E-02 1.51752E-03 0.264896 1 4 87.5 45.0 135.0 1.01902E-01 1.30241E-03 2.97950E-02 3.10974E-02 1.43482E-03 0.292389 1 7 87.5 90.0 90.0 9.27084E-02 1.47436E-03 3.04933E-02 3.19676E-02 1.62424E-03 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 6.959E-03 5.981E-02 7.227E-02 6.234E-02 9.346E-02 7.667E-03 5.116E+00 1.943E-03 2.140E-03 1 0.00 0.00 3.604E-03 1.113E-01 7.576E-03 9.322E-03 1.404E-02 4.061E-03 4.264E+00 3 20.87 5.00 1.263E-06 4.436E-05 2.054E-06 2.124E-06 2.222E-06 2.743E-02 3.523E+00 5 41.73 10.00 9.496E-08 1.677E-07 1.162E-07 1.162E-07 1.162E-07 2.065E-01 3.323E+00 7 62.60 15.00 8.541E-09 1.483E-08 1.042E-08 1.042E-08 1.042E-08 2.083E-01 3.320E+00 9 83.46 20.00 7.893E-10 1.362E-09 9.613E-10 9.613E-10 9.613E-10 2.092E-01 3.318E+00 Waveband 38 of 40 completed in 21.6 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 24.2 m at 735.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 730.0 nm to 740.0 nm: Ed(diffuse) = 2.418E-01 Ed(direct) = 7.532E-01 Ed(total) = 9.950E-01 Absorption Coefficients of Individual Components at 735.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 2.1289 0.0006 0.0002 0.0027 2.1324 3 23.876 5.000 2.1289 0.0006 0.0002 0.0027 2.1324 5 47.753 10.000 2.1289 0.0006 0.0002 0.0027 2.1324 7 71.629 15.000 2.1289 0.0006 0.0002 0.0027 2.1324 9 95.505 20.000 2.1289 0.0006 0.0002 0.0027 2.1324 Scattering Coefficients of Individual Components at 735.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0005 0.3655 0.0000 2.2769 2.6429 3 23.876 5.000 0.0005 0.3655 0.0000 2.2769 2.6429 5 47.753 10.000 0.0005 0.3655 0.0000 2.2769 2.6429 7 71.629 15.000 0.0005 0.3655 0.0000 2.2769 2.6429 9 95.505 20.000 0.0005 0.3655 0.0000 2.2769 2.6429 Backscattering Coefficients of Individual Components at 735.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00027 0.00365 0.00000 0.06831 0.07223 3 23.876 5.000 0.00027 0.00365 0.00000 0.06831 0.07223 5 47.753 10.000 0.00027 0.00365 0.00000 0.06831 0.07223 7 71.629 15.000 0.00027 0.00365 0.00000 0.06831 0.07223 9 95.505 20.000 0.00027 0.00365 0.00000 0.06831 0.07223 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 2.1324 2.6429 4.7753 0.5535 0.07223 0.02733 3 23.876 5.000 2.1324 2.6429 4.7753 0.5535 0.07223 0.02733 5 47.753 10.000 2.1324 2.6429 4.7753 0.5535 0.07223 0.02733 7 71.629 15.000 2.1324 2.6429 4.7753 0.5535 0.07223 0.02733 9 95.505 20.000 2.1324 2.6429 4.7753 0.5535 0.07223 0.02733 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.7478E-01 8 20.00 6.1867E-01 7 30.00 3.6853E-01 6 40.00 1.9715E-01 5 50.00 1.0089E-01 4 60.00 5.2037E-02 3 70.00 2.8024E-02 2 80.00 1.6112E-02 1 87.50 1.1098E-02 1 92.50 8.7817E-03 2 100.00 6.5399E-03 3 110.00 4.7127E-03 4 120.00 3.6458E-03 5 130.00 3.0168E-03 6 140.00 2.6434E-03 7 150.00 2.4235E-03 8 160.00 2.2983E-03 9 170.00 2.2345E-03 10 180.00 2.2127E-03 Asymptotic AOP values are MUu(inf) = 0.3770 MUd(inf) = 0.8177 MU(inf) = 0.7844 R(inf) = 0.0132 Lu(inf)/Ed(inf) = 0.002852 (1/sr) k(inf) = 2.7186 (1/m) absorp(check) = 2.1325 = 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 9.6089E-02 1.3591E+00 1.4552E+00 3.6742E-02 9.9497E-01 0.3824 0.7321 0.6585 3.6928E-02 1 0.00 0.00 2.8581E-02 1.0903E+00 1.1189E+00 1.1494E-02 9.6972E-01 0.4022 0.8894 0.8564 1.1853E-02 3 23.88 5.00 3.6388E-06 6.5226E-06 1.0161E-05 1.7684E-06 3.9141E-06 0.4860 0.6001 0.2112 4.5181E-01 5 47.75 10.00 2.6379E-07 3.5479E-07 6.1858E-07 1.2862E-07 1.8626E-07 0.4876 0.5250 0.0932 6.9053E-01 7 71.63 15.00 2.0105E-08 2.6926E-08 4.7030E-08 9.8058E-09 1.4126E-08 0.4877 0.5246 0.0919 6.9416E-01 9 95.51 20.00 1.7111E-09 2.1227E-09 3.8337E-09 8.3625E-10 1.1115E-09 0.4887 0.5236 0.0718 7.5237E-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 1.84525 2.21945 2.20987 2.14657 2.48931 2.49342 2.42288 5.000 5.010 5.005 0.69601 3.53104 2.50654 0.64705 4.28188 7.38029 0.60467 10.000 10.010 10.005 0.51872 0.51863 0.51867 0.51869 0.51877 0.51896 0.51857 15.000 15.010 15.005 0.51221 0.51195 0.51206 0.51117 0.51208 0.51414 0.51102 20.000 20.010 20.005 0.50466 0.50539 0.50506 0.50476 0.50545 0.50755 0.50479 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 735.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 6.52449E-02 1.45818E-03 5.49659E-03 6.95476E-03 1.46555E-03 0.084245 9 1 10.0 0.0 180.0 4.02588E-02 1.49716E-03 1.53313E-03 3.03029E-03 1.50473E-03 0.038082 9 4 10.0 45.0 135.0 4.42335E-02 1.48514E-03 1.78913E-03 3.27427E-03 1.49265E-03 0.040447 9 7 10.0 90.0 90.0 5.97632E-02 1.46935E-03 3.90105E-03 5.37040E-03 1.47678E-03 0.065275 8 1 20.0 0.0 180.0 3.16227E-02 1.52066E-03 7.76560E-04 2.29722E-03 1.52835E-03 0.024557 8 4 20.0 45.0 135.0 3.52046E-02 1.49579E-03 9.21141E-04 2.41693E-03 1.50335E-03 0.026165 8 7 20.0 90.0 90.0 5.17667E-02 1.47399E-03 2.20836E-03 3.68236E-03 1.48145E-03 0.042660 7 1 30.0 0.0 180.0 2.74186E-02 1.55067E-03 6.60025E-04 2.21070E-03 1.55852E-03 0.024072 7 4 30.0 45.0 135.0 3.04019E-02 1.53484E-03 7.41971E-04 2.27681E-03 1.54260E-03 0.024405 7 7 30.0 90.0 90.0 4.43079E-02 1.49944E-03 1.31090E-03 2.81034E-03 1.50702E-03 0.029586 6 1 40.0 0.0 180.0 2.60254E-02 1.57352E-03 7.33866E-04 2.30738E-03 1.58147E-03 0.028198 6 4 40.0 45.0 135.0 2.84574E-02 1.55181E-03 7.95930E-04 2.34774E-03 1.55966E-03 0.027969 6 7 40.0 90.0 90.0 3.99538E-02 1.51504E-03 1.15521E-03 2.67025E-03 1.52270E-03 0.028914 5 1 50.0 0.0 180.0 2.72868E-02 1.60174E-03 1.15927E-03 2.76100E-03 1.60984E-03 0.042485 5 4 50.0 45.0 135.0 2.90778E-02 1.56978E-03 1.20774E-03 2.77752E-03 1.57772E-03 0.041535 5 7 50.0 90.0 90.0 3.86516E-02 1.53779E-03 1.56139E-03 3.09918E-03 1.54557E-03 0.040396 4 1 60.0 0.0 180.0 3.23899E-02 1.58615E-03 2.70056E-03 4.28671E-03 1.59417E-03 0.083377 4 4 60.0 45.0 135.0 3.31229E-02 1.55168E-03 2.66675E-03 4.21843E-03 1.55953E-03 0.080511 4 7 60.0 90.0 90.0 4.09024E-02 1.54375E-03 3.11416E-03 4.65790E-03 1.55155E-03 0.076136 3 1 70.0 0.0 180.0 4.49412E-02 1.47936E-03 7.45965E-03 8.93901E-03 1.48684E-03 0.165987 3 4 70.0 45.0 135.0 4.36762E-02 1.46360E-03 7.17757E-03 8.64117E-03 1.47101E-03 0.164336 3 7 70.0 90.0 90.0 4.88290E-02 1.46533E-03 7.80527E-03 9.27060E-03 1.47274E-03 0.159849 2 1 80.0 0.0 180.0 7.63557E-02 1.27351E-03 1.85425E-02 1.98160E-02 1.27995E-03 0.242843 2 4 80.0 45.0 135.0 7.07039E-02 1.25796E-03 1.79344E-02 1.91924E-02 1.26432E-03 0.253655 2 7 80.0 90.0 90.0 7.02449E-02 1.26796E-03 1.87822E-02 2.00502E-02 1.27437E-03 0.267382 1 1 87.5 0.0 180.0 1.23453E-01 1.03147E-03 3.27022E-02 3.37337E-02 1.03669E-03 0.264896 1 4 87.5 45.0 135.0 1.11154E-01 9.71359E-04 3.25003E-02 3.34717E-02 9.76272E-04 0.292389 1 7 87.5 90.0 90.0 1.01126E-01 1.09171E-03 3.32619E-02 3.43537E-02 1.09723E-03 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 6.955E-03 6.524E-02 7.859E-02 6.774E-02 1.016E-01 6.990E-03 5.283E+00 1.458E-03 1.466E-03 1 0.00 0.00 2.706E-03 1.214E-01 5.834E-03 7.217E-03 1.107E-02 2.790E-03 4.248E+00 3 23.88 5.00 5.409E-07 2.618E-06 6.648E-07 6.659E-07 6.682E-07 1.382E-01 3.269E+00 5 47.75 10.00 3.946E-08 6.617E-08 4.742E-08 4.742E-08 4.742E-08 2.119E-01 3.259E+00 7 71.63 15.00 3.010E-09 5.010E-09 3.607E-09 3.607E-09 3.607E-09 2.131E-01 3.258E+00 9 95.51 20.00 2.571E-10 3.933E-10 2.953E-10 2.953E-10 2.953E-10 2.313E-01 3.253E+00 Waveband 39 of 40 completed in 24.8 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 23.9 m at 745.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 740.0 nm to 750.0 nm: Ed(diffuse) = 2.544E-01 Ed(direct) = 7.973E-01 Ed(total) = 1.052E+00 Absorption Coefficients of Individual Components at 745.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 2.4590 0.0000 0.0002 0.0000 2.4592 3 25.346 5.000 2.4590 0.0000 0.0002 0.0000 2.4592 5 50.692 10.000 2.4590 0.0000 0.0002 0.0000 2.4592 7 76.038 15.000 2.4590 0.0000 0.0002 0.0000 2.4592 9 101.384 20.000 2.4590 0.0000 0.0002 0.0000 2.4592 Scattering Coefficients of Individual Components at 745.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0005 0.3606 0.0000 2.2490 2.6100 3 25.346 5.000 0.0005 0.3606 0.0000 2.2490 2.6100 5 50.692 10.000 0.0005 0.3606 0.0000 2.2490 2.6100 7 76.038 15.000 0.0005 0.3606 0.0000 2.2490 2.6100 9 101.384 20.000 0.0005 0.3606 0.0000 2.2490 2.6100 Backscattering Coefficients of Individual Components at 745.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00026 0.00361 0.00000 0.06747 0.07133 3 25.346 5.000 0.00026 0.00361 0.00000 0.06747 0.07133 5 50.692 10.000 0.00026 0.00361 0.00000 0.06747 0.07133 7 76.038 15.000 0.00026 0.00361 0.00000 0.06747 0.07133 9 101.384 20.000 0.00026 0.00361 0.00000 0.06747 0.07133 Summary of Inherent Optical Properties at 745.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 2.4592 2.6100 5.0692 0.5149 0.07133 0.02733 3 25.346 5.000 2.4592 2.6100 5.0692 0.5149 0.07133 0.02733 5 50.692 10.000 2.4592 2.6100 5.0692 0.5149 0.07133 0.02733 7 76.038 15.000 2.4592 2.6100 5.0692 0.5149 0.07133 0.02733 9 101.384 20.000 2.4592 2.6100 5.0692 0.5149 0.07133 0.02733 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.6146E-01 8 20.00 5.8674E-01 7 30.00 3.3246E-01 6 40.00 1.6904E-01 5 50.00 8.2849E-02 4 60.00 4.1392E-02 3 70.00 2.1831E-02 2 80.00 1.2396E-02 1 87.50 8.4922E-03 1 92.50 6.7120E-03 2 100.00 4.9922E-03 3 110.00 3.5984E-03 4 120.00 2.7911E-03 5 130.00 2.3189E-03 6 140.00 2.0412E-03 7 150.00 1.8794E-03 8 160.00 1.7884E-03 9 170.00 1.7425E-03 10 180.00 1.7270E-03 Asymptotic AOP values are MUu(inf) = 0.3784 MUd(inf) = 0.8306 MU(inf) = 0.8019 R(inf) = 0.0111 Lu(inf)/Ed(inf) = 0.002424 (1/sr) k(inf) = 3.0670 (1/m) absorp(check) = 2.4593 = 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 9.9826E-02 1.4356E+00 1.5354E+00 3.8037E-02 1.0517E+00 0.3810 0.7326 0.6602 3.6168E-02 1 0.00 0.00 2.5795E-02 1.1489E+00 1.1746E+00 1.0331E-02 1.0240E+00 0.4005 0.8913 0.8629 1.0089E-02 3 25.35 5.00 1.7679E-06 5.3038E-06 7.0717E-06 8.4838E-07 3.2612E-06 0.4799 0.6149 0.3412 2.6014E-01 5 50.69 10.00 1.1071E-07 2.0960E-07 3.2031E-07 5.3635E-08 1.1040E-07 0.4845 0.5267 0.1772 4.8581E-01 7 76.04 15.00 7.9868E-09 1.4229E-08 2.2216E-08 3.8776E-09 7.4842E-09 0.4855 0.5260 0.1623 5.1810E-01 9 101.38 20.00 5.9768E-10 9.8142E-10 1.5791E-09 2.9090E-10 5.1536E-10 0.4867 0.5251 0.1421 5.6447E-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 2.20201 2.58578 2.57734 2.51058 2.85027 2.85373 2.78682 5.000 5.010 5.005 4.19458 52.88490 38.31771 3.01518 63.88893 98.80062 2.07219 10.000 10.010 10.005 1.75499 19.69648 13.12502 1.23249 19.90150 41.45893 0.87952 15.000 15.010 15.005 2.06324 27.19901 17.41960 1.39958 27.51539 66.20730 0.95294 20.000 20.010 20.005 2.13045 31.43785 19.31405 1.43029 31.84386 93.58899 0.96282 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 745.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 6.86470E-02 1.31295E-03 5.80772E-03 7.12066E-03 1.24845E-03 0.084603 9 1 10.0 0.0 180.0 4.23580E-02 1.34937E-03 1.61637E-03 2.96574E-03 1.28308E-03 0.038160 9 4 10.0 45.0 135.0 4.65400E-02 1.33804E-03 1.88665E-03 3.22470E-03 1.27231E-03 0.040538 9 7 10.0 90.0 90.0 6.28794E-02 1.32262E-03 4.11964E-03 5.44226E-03 1.25765E-03 0.065516 8 1 20.0 0.0 180.0 3.32716E-02 1.37094E-03 8.17220E-04 2.18816E-03 1.30359E-03 0.024562 8 4 20.0 45.0 135.0 3.70403E-02 1.34768E-03 9.69603E-04 2.31729E-03 1.28148E-03 0.026177 8 7 20.0 90.0 90.0 5.44660E-02 1.32608E-03 2.32928E-03 3.65536E-03 1.26093E-03 0.042766 7 1 30.0 0.0 180.0 2.88483E-02 1.39811E-03 6.94441E-04 2.09255E-03 1.32942E-03 0.024072 7 4 30.0 45.0 135.0 3.19873E-02 1.38265E-03 7.80681E-04 2.16333E-03 1.31472E-03 0.024406 7 7 30.0 90.0 90.0 4.66176E-02 1.34803E-03 1.38039E-03 2.72842E-03 1.28181E-03 0.029611 6 1 40.0 0.0 180.0 2.73825E-02 1.41832E-03 7.72133E-04 2.19046E-03 1.34865E-03 0.028198 6 4 40.0 45.0 135.0 2.99413E-02 1.39719E-03 8.37433E-04 2.23463E-03 1.32856E-03 0.027969 6 7 40.0 90.0 90.0 4.20371E-02 1.36055E-03 1.21553E-03 2.57607E-03 1.29371E-03 0.028916 5 1 50.0 0.0 180.0 2.87096E-02 1.44311E-03 1.21972E-03 2.66282E-03 1.37222E-03 0.042485 5 4 50.0 45.0 135.0 3.05940E-02 1.41249E-03 1.27072E-03 2.68321E-03 1.34311E-03 0.041535 5 7 50.0 90.0 90.0 4.06670E-02 1.37970E-03 1.64280E-03 3.02250E-03 1.31192E-03 0.040396 4 1 60.0 0.0 180.0 3.40788E-02 1.42836E-03 2.84137E-03 4.26973E-03 1.35819E-03 0.083377 4 4 60.0 45.0 135.0 3.48501E-02 1.39532E-03 2.80580E-03 4.20113E-03 1.32678E-03 0.080511 4 7 60.0 90.0 90.0 4.30352E-02 1.38386E-03 3.27654E-03 4.66041E-03 1.31588E-03 0.076136 3 1 70.0 0.0 180.0 4.72846E-02 1.33144E-03 7.84863E-03 9.18007E-03 1.26603E-03 0.165987 3 4 70.0 45.0 135.0 4.59537E-02 1.31529E-03 7.55184E-03 8.86712E-03 1.25067E-03 0.164336 3 7 70.0 90.0 90.0 5.13751E-02 1.31272E-03 8.21226E-03 9.52498E-03 1.24823E-03 0.159849 2 1 80.0 0.0 180.0 8.03372E-02 1.14566E-03 1.95094E-02 2.06550E-02 1.08938E-03 0.242843 2 4 80.0 45.0 135.0 7.43907E-02 1.12992E-03 1.88696E-02 1.99995E-02 1.07441E-03 0.253655 2 7 80.0 90.0 90.0 7.39078E-02 1.13544E-03 1.97616E-02 2.08970E-02 1.07966E-03 0.267382 1 1 87.5 0.0 180.0 1.29891E-01 9.27614E-04 3.44075E-02 3.53351E-02 8.82045E-04 0.264896 1 4 87.5 45.0 135.0 1.16950E-01 8.72230E-04 3.41950E-02 3.50673E-02 8.29382E-04 0.292389 1 7 87.5 90.0 90.0 1.06399E-01 9.77556E-04 3.49964E-02 3.59739E-02 9.29533E-04 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 7.121E-03 6.865E-02 8.261E-02 7.119E-02 1.068E-01 6.771E-03 5.342E+00 1.313E-03 1.248E-03 1 0.00 0.00 2.436E-03 1.277E-01 5.306E-03 6.578E-03 1.016E-02 2.379E-03 4.241E+00 3 25.35 5.00 2.584E-07 2.386E-06 4.258E-07 4.263E-07 4.289E-07 7.922E-02 3.284E+00 5 50.69 10.00 1.646E-08 3.928E-08 2.416E-08 2.416E-08 2.416E-08 1.491E-01 3.258E+00 7 76.04 15.00 1.192E-09 2.656E-09 1.681E-09 1.681E-09 1.681E-09 1.593E-01 3.252E+00 9 101.38 20.00 8.960E-11 1.825E-10 1.200E-10 1.200E-10 1.200E-10 1.739E-01 3.247E+00 Waveband 40 of 40 completed in 24.9 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 1.178E+01 1.346E+01 1.332E+01 1.163E+01 1.421E+01 1.968E+01 2.054E+01 1.945E+01 1.976E+01 2.320E+01 2.474E+01 2.451E+01 2.487E+01 2.407E+01 2.443E+01 2.400E+01 2.306E+01 2.368E+01 2.402E+01 2.377E+01 2.369E+01 2.358E+01 2.339E+01 2.237E+01 2.115E+01 2.122E+01 2.064E+01 2.030E+01 1.994E+01 1.924E+01 1.825E+01 1.885E+01 1.846E+01 1.691E+01 1.628E+01 1.631E+01 1.483E+01 1.333E+01 1.455E+01 1.535E+01 0.0 1.206E+01 1.392E+01 1.382E+01 1.205E+01 1.463E+01 1.969E+01 2.004E+01 1.877E+01 1.879E+01 2.219E+01 2.392E+01 2.381E+01 2.457E+01 2.413E+01 2.483E+01 2.474E+01 2.389E+01 2.518E+01 2.603E+01 2.621E+01 2.652E+01 2.684E+01 2.617E+01 2.378E+01 2.135E+01 1.988E+01 1.924E+01 1.863E+01 1.800E+01 1.720E+01 1.592E+01 1.596E+01 1.559E+01 1.433E+01 1.373E+01 1.347E+01 1.190E+01 1.042E+01 1.119E+01 1.175E+01 5.0 5.274E-01 6.647E-01 6.912E-01 6.133E-01 7.314E-01 8.242E-01 7.112E-01 6.278E-01 5.645E-01 7.374E-01 9.169E-01 9.934E-01 1.237E+00 1.421E+00 1.690E+00 1.923E+00 1.984E+00 2.552E+00 3.039E+00 3.462E+00 3.881E+00 4.377E+00 4.040E+00 2.865E+00 1.863E+00 8.901E-01 8.397E-01 7.032E-01 5.683E-01 4.842E-01 3.021E-01 1.627E-01 1.475E-01 1.420E-01 1.171E-01 5.628E-02 9.790E-03 7.149E-04 1.016E-04 7.072E-05 10.0 1.626E-02 2.223E-02 2.404E-02 2.154E-02 2.500E-02 2.325E-02 1.681E-02 1.389E-02 1.115E-02 1.607E-02 2.305E-02 2.714E-02 4.085E-02 5.505E-02 7.587E-02 9.882E-02 1.090E-01 1.724E-01 2.380E-01 3.085E-01 3.854E-01 4.873E-01 4.226E-01 2.293E-01 1.062E-01 2.566E-02 2.360E-02 1.709E-02 1.159E-02 8.833E-03 3.787E-03 1.275E-03 1.417E-03 1.644E-03 1.144E-03 3.163E-04 4.666E-05 1.520E-05 6.186E-06 3.203E-06 15.0 5.008E-04 7.431E-04 8.355E-04 7.558E-04 8.536E-04 6.553E-04 3.972E-04 3.077E-04 2.206E-04 3.502E-04 5.784E-04 7.394E-04 1.345E-03 2.125E-03 3.392E-03 5.058E-03 5.964E-03 1.160E-02 1.856E-02 2.736E-02 3.808E-02 5.396E-02 4.395E-02 1.824E-02 6.012E-03 7.361E-04 6.600E-04 4.143E-04 2.370E-04 1.635E-04 5.278E-05 2.404E-05 4.921E-05 6.917E-05 4.651E-05 1.461E-05 3.915E-06 1.361E-06 4.703E-07 2.222E-07 20.0 1.543E-05 2.484E-05 2.904E-05 2.652E-05 2.914E-05 1.848E-05 9.409E-06 6.839E-06 4.391E-06 7.652E-06 1.453E-05 2.015E-05 4.428E-05 8.200E-05 1.516E-04 2.589E-04 3.263E-04 7.801E-04 1.447E-03 2.426E-03 3.761E-03 5.974E-03 4.569E-03 1.450E-03 3.403E-04 2.119E-05 1.852E-05 1.014E-05 5.019E-06 3.289E-06 1.189E-06 1.490E-06 3.772E-06 5.502E-06 3.806E-06 1.328E-06 3.865E-07 1.255E-07 3.834E-08 1.579E-08 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 3.497E+01 4.106E+01 4.175E+01 3.743E+01 4.693E+01 6.662E+01 7.123E+01 6.908E+01 7.185E+01 8.628E+01 9.407E+01 9.526E+01 9.872E+01 9.756E+01 1.011E+02 1.013E+02 9.925E+01 1.039E+02 1.074E+02 1.083E+02 1.099E+02 1.113E+02 1.124E+02 1.094E+02 1.052E+02 1.073E+02 1.061E+02 1.061E+02 1.058E+02 1.037E+02 9.989E+01 1.047E+02 1.042E+02 9.684E+01 9.455E+01 9.609E+01 8.863E+01 8.076E+01 8.940E+01 9.560E+01 0.0 3.579E+01 4.247E+01 4.332E+01 3.878E+01 4.830E+01 6.664E+01 6.953E+01 6.669E+01 6.831E+01 8.253E+01 9.096E+01 9.254E+01 9.754E+01 9.780E+01 1.027E+02 1.044E+02 1.028E+02 1.105E+02 1.164E+02 1.194E+02 1.230E+02 1.268E+02 1.258E+02 1.163E+02 1.062E+02 1.005E+02 9.889E+01 9.733E+01 9.553E+01 9.272E+01 8.713E+01 8.870E+01 8.795E+01 8.207E+01 7.974E+01 7.935E+01 7.109E+01 6.314E+01 6.874E+01 7.314E+01 5.0 1.565E+00 2.028E+00 2.166E+00 1.974E+00 2.415E+00 2.790E+00 2.467E+00 2.230E+00 2.053E+00 2.743E+00 3.487E+00 3.861E+00 4.911E+00 5.761E+00 6.994E+00 8.115E+00 8.540E+00 1.120E+01 1.359E+01 1.577E+01 1.800E+01 2.067E+01 1.942E+01 1.401E+01 9.265E+00 4.501E+00 4.316E+00 3.673E+00 3.016E+00 2.610E+00 1.654E+00 9.042E-01 8.319E-01 8.129E-01 6.802E-01 3.316E-01 5.850E-02 4.332E-03 6.242E-04 4.403E-04 10.0 4.823E-02 6.782E-02 7.534E-02 6.931E-02 8.253E-02 7.870E-02 5.830E-02 4.935E-02 4.054E-02 5.978E-02 8.765E-02 1.055E-01 1.622E-01 2.231E-01 3.139E-01 4.171E-01 4.692E-01 7.566E-01 1.064E+00 1.405E+00 1.788E+00 2.301E+00 2.031E+00 1.121E+00 5.281E-01 1.298E-01 1.213E-01 8.929E-02 6.149E-02 4.762E-02 2.073E-02 7.088E-03 7.992E-03 9.413E-03 6.646E-03 1.864E-03 2.788E-04 9.212E-05 3.800E-05 1.994E-05 15.0 1.486E-03 2.267E-03 2.619E-03 2.432E-03 2.818E-03 2.218E-03 1.378E-03 1.093E-03 8.021E-04 1.302E-03 2.199E-03 2.874E-03 5.340E-03 8.613E-03 1.403E-02 2.135E-02 2.567E-02 5.089E-02 8.299E-02 1.246E-01 1.766E-01 2.548E-01 2.112E-01 8.919E-02 2.990E-02 3.722E-03 3.392E-03 2.164E-03 1.258E-03 8.814E-04 2.890E-04 1.336E-04 2.776E-04 3.960E-04 2.702E-04 8.610E-05 2.340E-05 8.248E-06 2.889E-06 1.383E-06 20.0 4.578E-05 7.578E-05 9.101E-05 8.533E-05 9.621E-05 6.254E-05 3.263E-05 2.429E-05 1.596E-05 2.846E-05 5.526E-05 7.832E-05 1.758E-04 3.324E-04 6.274E-04 1.093E-03 1.404E-03 3.423E-03 6.469E-03 1.105E-02 1.745E-02 2.821E-02 2.196E-02 7.092E-03 1.692E-03 1.071E-04 9.518E-05 5.297E-05 2.664E-05 1.773E-05 6.507E-06 8.281E-06 2.128E-05 3.150E-05 2.211E-05 7.822E-06 2.310E-06 7.604E-07 2.355E-07 9.833E-08 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 2.9493E+03 1.8379E+03 0.00 2.8974E+03 1.9023E+03 5.00 1.9888E+02 9.7532E+01 10.00 1.3562E+01 6.4359E+00 15.00 1.1199E+00 5.2389E-01 20.00 1.0167E-01 4.7208E-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 0.38277 5.000 5.010 5.005 0.56521 10.000 10.010 10.005 0.51352 15.000 15.010 15.005 0.48719 20.000 20.010 20.005 0.47386 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) (0.312, 0.366, 1.080E+04) (0.311, 0.375, 2.811E+03) (0.306, 0.386, 2.239E+03) 0.00 (0.327, 0.343, 1.079E+05) (0.307, 0.382, 1.638E+04) (0.306, 0.386, 4.153E+03) 5.00 (0.343, 0.474, 9.069E+03) (0.338, 0.505, 1.765E+03) (0.338, 0.509, 3.964E+02) 10.00 (0.364, 0.555, 7.473E+02) (0.364, 0.570, 1.520E+02) (0.364, 0.572, 3.423E+01) 15.00 (0.379, 0.586, 6.679E+01) (0.380, 0.592, 1.390E+01) (0.380, 0.593, 3.140E+00) 20.00 (0.389, 0.594, 6.268E+00) (0.390, 0.597, 1.323E+00) (0.390, 0.597, 2.995E-01) The final depth-averaged photopic alpha and K are alpha = 3.6288 1/m and K = 0.2305 1/m The final estimate for the Secchi depth is z_SD = 2.07 m Run completed on 07/20/2011 at 22:58:33.1 Total (wall clock) run time = 724.3 sec