======================================================== | | | HYDROLIGHT Version 5.1.0 (MAIN CODE) | | Copyright (c) 2013 by Curtis D. Mobley | | | | This copy of HE5 is licensed solely to | | U Maine Optics Summer Class 2013 | | | | S/N Maine-500-31Aug2013 | | | | THIS PROGRAM IS EXPERIMENTAL AND IS LICENSED "AS IS" | | WITHOUT REPRESENTATION OF WARRANTY OF ANY KIND, | | EITHER EXPRESS OR IMPLIED. THE ENTIRE RISK AS TO | | THE QUALITY AND PERFORMANCE OF HYDROLIGHT IS WITH | | THE USER. HYDROLIGHT IS NOT FAULT TOLERANT. | | | ======================================================== RUN TITLE: Run1 (07/18/2013 15:11) Run started on 07/18/2013 at 15:11:17.5 The radiance distribution is computed on the following (Theta,Phi,Depth,Wavelength) grid: I Theta Mu J Phi K zeta z L Lambda (deg) (deg) (m) (nm) 1 87.500 0.0436 1 0.00 1 0.000 1 405.00 2 80.000 0.1730 2 15.00 2 0.010 2 415.00 3 70.000 0.3407 3 30.00 3 5.000 3 425.00 4 60.000 0.4981 4 45.00 4 5.010 4 435.00 5 50.000 0.6403 5 60.00 5 10.000 5 445.00 6 40.000 0.7631 6 75.00 6 10.010 6 455.00 7 30.000 0.8627 7 90.00 7 15.000 7 465.00 8 20.000 0.9361 8 105.00 8 15.010 8 475.00 9 10.000 0.9811 9 120.00 9 20.000 9 485.00 10 0.000 0.9981 10 135.00 10 20.010 10 495.00 11 150.00 11 25.000 11 505.00 12 165.00 12 25.010 12 515.00 13 180.00 13 525.00 14 195.00 14 535.00 15 210.00 15 545.00 16 225.00 16 555.00 17 240.00 17 565.00 18 255.00 18 575.00 19 270.00 19 585.00 20 285.00 20 595.00 21 300.00 21 605.00 22 315.00 22 615.00 23 330.00 23 625.00 24 345.00 24 635.00 25 645.00 26 655.00 27 665.00 28 675.00 29 685.00 30 695.00 ***** BEGIN IOP MODEL SPECIFICATIONS ***** The IOP routine "abNewCase1" is being used: Absorption and scattering coefficients for case 1 water (Morel et al. bio-optical models) are used. component 1 is pure water component 2 is small particles component 3 is large particles component 4 is CDOM Pure water a and b values are obtained from the file: ..\data\H2OabDefaults.txt (Linear interpolation is used to define values at all wavelengths) The data file header records from ..\data\H2OabDefaults.txt are: Default "pure water" absorption (a) and scattering (b) coefficients. Based on: 200-300 nm: R.C. Smith and K. Baker, 1981. Appl. Optics 20(2), 177-184. 191 records read The phase function for component 1 comes from a file titled pure sea water (Rayleigh-like phase function); standard quad partition; 7 Sept 98 The Chlorophyll concentration is obtained from measured values read from the file: C:\HE5\data\examples\Chlzdata.txt (Linear interpolation is used to define Chl(z) at all depths) The data file header records from C:\HE5\data\examples\Chlzdata.txt are: Example "chlzdata" file showing the Hydrolight "Chlorophyll-data standard format" These files are read by Hydrolight subroutine "chlzdata" on file ..\maincode\chlzdata.f 6 records read The phase function for component 2 comes from a file titled Morel Small Particle Case 1 phase function; (Jul 2004) The chlorophyll values at the requested output depths are: depth Chl (m) (mg/m^3) 0.000 0.500 5.000 0.700 10.000 1.200 15.000 2.100 20.000 1.500 25.000 0.400 chlorophyll AE filename: ..\data\AE_midUVabs.txt ***** END IOP MODEL SPECIFICATIONS ***** ***** BEGIN INELASTIC SCATTER AND INTERNAL SOURCE SPECIFICATIONS ***** Chlorophyll fluorescence is included in this run Chl fluorescent quantum efficiency set to 0.020 CDOM fluorescence is included in this run Raman scattering is included in this run Raman scattering cross-section set to 2.40E-04 m-1 at reference wavelength 488.0 nm ***** END INELASTIC SCATTER AND INTERNAL SOURCE SPECIFICATIONS ***** ***** BEGIN ATMOSPHERIC MODEL SPECIFICATIONS ***** Normalized sky radiances are computed using sky model "HCNRAD" (Harrison and Coombes Normalized RADiances) The cloud fraction is cloud = 1.0 (0 for a clear sky to 1 for a heavy overcast) The sun is placed in quad Q(r,s) = Q( 4, 1) centered at (theta, phi) = (60.000, 0.000) Diffuse and Direct Sky irradiances are computed using the "RADTRANX" (RADTRAN eXtended for 300-1000 nm) model The RADTRAN clear-sky irradiances are adjusted for cloudiness by the model of Kasten and Czeplak The ozone concentration is computed from climatology using Day of Year = 198 latitude = 60.0000 degrees (N is positive) longitude = -68.0000 degrees (E is positive) Binned Monthly Average TOMS v8 Ozone concentrations (in Dobson units) for use in HE5; Sept 2007 Data from 2000-2004 were averaged to give 5-year climatological averages for 5 x 10 deg latitude x longitude regions. For missing data near the poles, the zonal average of the nearest valid latitude band is used. Parameter values used in the RADTRANX model: Solar zenith angle = 60.0 degrees Pressure = 29.9 in. mercury Day of year = 198 Air mass type = 1.0 Relative Humidity = 80.0 % Precipitable water = 2.5 cm 24-hr wind speed = 5.0 m/sec Current wind speed = 5.0 m/sec Visibility = 15.0 km Total ozone = 338.6 Dobson units Irradiances are computed just above the sea surface Aerosol optical thickness at 550 nm = 0.261 ***** END ATMOSPHERIC MODEL SPECIFICATIONS ***** ***** BEGIN AIR-WATER SURFACE SPECIFICATIONS ***** The air-water surface is for a wind speed of 5.0 m/s Index of refraction is constant for all wavelengths with the value: 1.340 ***** END AIR-WATER SURFACE SPECIFICATIONS ***** ***** BEGIN BOTTOM BOUNDARY SPECIFICATIONS ***** The bottom boundary is an infinitely deep, homogeneous water body below depth 25.00 m The actual depth at which the infinitely deep bottom boundary condition will be applied will be determined dynamically from the IOPs to insure a good solution at the requested output depths ***** END BOTTOM BOUNDARY SPECIFICATIONS ***** ***** WARNING MESSAGES FOR INPUT DATA FILES ***** NUMBER OF FILES WITH WARNINGS: 1 Data file: C:\HE5\data\examples\Chlzdata.txt does not extend over the full range of depths and wavelengths selected for this run. For depths greater than 25.0 m the value at 25.0 m will be used HYDROLIGHT/ECOLIGHT OUTPUTS MAY BE UNPHYSICAL OR INACCURATE FOR DEPTHS AND WAVELENGTHS OUTSIDE THE RANGE OF THE INPUT DATA. ***** END WARNING MESSAGES FOR INPUT DATA FILES ***** Initialization of Hydrolight Completed in 0.2 sec. * * * * * Output for wavelength band 1 (400.0 to 410.0 nm; nominal wavelength = 405.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 103.6 m at 405.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 400.0 nm to 410.0 nm: Ed(diffuse) = 2.984E-01 Ed(direct) = 2.311E-01 Ed(total) = 5.296E-01 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 1.324E-01 Ed(direct) = 0.000E+00 Ed(total) = 1.324E-01 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 0.0276 0.0000 0.0109 0.0438 3 1.802 5.000 0.0053 0.0349 0.0000 0.0135 0.0537 5 4.257 10.000 0.0053 0.0507 0.0000 0.0191 0.0751 7 7.836 15.000 0.0053 0.0749 0.0000 0.0272 0.1074 9 11.641 20.000 0.0053 0.0593 0.0000 0.0220 0.0865 11 14.072 25.000 0.0053 0.0236 0.0000 0.0095 0.0384 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 0.1319 0.1363 0.0000 0.2754 3 1.802 5.000 0.0072 0.1563 0.1831 0.0000 0.3465 5 4.257 10.000 0.0072 0.2031 0.2916 0.0000 0.5020 7 7.836 15.000 0.0072 0.2634 0.4710 0.0000 0.7416 9 11.641 20.000 0.0072 0.2255 0.3529 0.0000 0.5856 11 14.072 25.000 0.0072 0.1176 0.1118 0.0000 0.2366 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 0.00185 0.00024 0.00000 0.00568 3 1.802 5.000 0.00359 0.00219 0.00032 0.00000 0.00610 5 4.257 10.000 0.00359 0.00285 0.00051 0.00000 0.00695 7 7.836 15.000 0.00359 0.00369 0.00083 0.00000 0.00811 9 11.641 20.000 0.00359 0.00316 0.00062 0.00000 0.00737 11 14.072 25.000 0.00359 0.00165 0.00020 0.00000 0.00544 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 0.0438 0.2754 0.3192 0.8627 0.00568 0.02062 3 1.802 5.000 0.0537 0.3465 0.4003 0.8658 0.00610 0.01761 5 4.257 10.000 0.0751 0.5020 0.5771 0.8699 0.00695 0.01385 7 7.836 15.000 0.1074 0.7416 0.8489 0.8735 0.00811 0.01094 9 11.641 20.000 0.0865 0.5856 0.6721 0.8713 0.00737 0.01259 11 14.072 25.000 0.0384 0.2366 0.2750 0.8603 0.00544 0.02297 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4894E-01 8 20.00 8.2429E-01 7 30.00 6.5829E-01 6 40.00 4.8876E-01 5 50.00 3.4266E-01 4 60.00 2.3130E-01 3 70.00 1.5372E-01 2 80.00 1.0333E-01 1 87.50 7.7390E-02 1 92.50 6.3247E-02 2 100.00 4.9432E-02 3 110.00 3.7747E-02 4 120.00 3.0377E-02 5 130.00 2.5782E-02 6 140.00 2.2916E-02 7 150.00 2.1144E-02 8 160.00 2.0086E-02 9 170.00 1.9523E-02 10 180.00 1.9324E-02 Asymptotic AOP values are MUu(inf) = 0.3952 MUd(inf) = 0.7031 MU(inf) = 0.5975 R(inf) = 0.0598 Lu(inf)/Ed(inf) = 0.013494 (1/sr) k(inf) = 0.0643 (1/m) absorp(check) = 0.0384 = 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 3.5883E-02 2.4458E-01 2.8047E-01 9.9835E-03 1.3239E-01 0.2782 0.5413 0.4364 7.5409E-02 1 0.00 0.00 1.3714E-02 1.6081E-01 1.7452E-01 5.7337E-03 1.2814E-01 0.4181 0.7968 0.7014 4.4746E-02 3 1.80 5.00 1.0066E-02 1.1945E-01 1.2952E-01 3.9094E-03 8.9196E-02 0.3884 0.7467 0.6585 4.3829E-02 5 4.26 10.00 6.0322E-03 7.4707E-02 8.0739E-02 2.2455E-03 5.4006E-02 0.3723 0.7229 0.6411 4.1578E-02 7 7.84 15.00 2.9627E-03 3.6853E-02 3.9816E-02 1.1057E-03 2.6295E-02 0.3732 0.7135 0.6327 4.2049E-02 9 11.64 20.00 1.5720E-03 1.7202E-02 1.8774E-02 6.1448E-04 1.2208E-02 0.3909 0.7097 0.6175 5.0333E-02 11 14.07 25.00 1.0941E-03 1.0314E-02 1.1408E-02 4.3384E-04 7.2824E-03 0.3965 0.7061 0.6003 5.9574E-02 K-functions (units of 1/meter) at 405.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.05433 0.05058 0.05087 0.06338 0.06255 0.06251 0.08241 5.000 5.010 5.005 0.08231 0.07310 0.07382 0.09330 0.08212 0.08161 0.10707 10.000 10.010 10.005 0.12387 0.11353 0.11430 0.12908 0.11770 0.11721 0.13333 15.000 15.010 15.005 0.14974 0.16704 0.16575 0.14272 0.16857 0.16970 0.12722 20.000 20.010 20.005 0.09918 0.13664 0.13350 0.08934 0.13750 0.14005 0.07842 25.000 25.010 25.005 0.06211 0.06290 0.06283 0.06321 0.06395 0.06400 0.06392 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 4.72550E-02 7.15186E-04 9.29385E-04 1.64457E-03 5.40206E-03 0.019667 9 1 10.0 0.0 180.0 4.56142E-02 7.25667E-04 8.99085E-04 1.62475E-03 5.48123E-03 0.019711 9 4 10.0 45.0 135.0 4.59214E-02 7.23507E-04 9.06179E-04 1.62969E-03 5.46491E-03 0.019733 9 7 10.0 90.0 90.0 4.68449E-02 7.23613E-04 9.26730E-04 1.65034E-03 5.46571E-03 0.019783 8 1 20.0 0.0 180.0 4.39960E-02 7.35348E-04 8.81351E-04 1.61670E-03 5.55435E-03 0.020033 8 4 20.0 45.0 135.0 4.44040E-02 7.29607E-04 8.90653E-04 1.62026E-03 5.51099E-03 0.020058 8 7 20.0 90.0 90.0 4.58210E-02 7.31169E-04 9.16476E-04 1.64765E-03 5.52279E-03 0.020001 7 1 30.0 0.0 180.0 4.20469E-02 7.51051E-04 8.92252E-04 1.64330E-03 5.67296E-03 0.021220 7 4 30.0 45.0 135.0 4.24795E-02 7.52195E-04 9.02849E-04 1.65504E-03 5.68160E-03 0.021254 7 7 30.0 90.0 90.0 4.41741E-02 7.50540E-04 9.37869E-04 1.68841E-03 5.66910E-03 0.021231 6 1 40.0 0.0 180.0 3.97769E-02 7.69883E-04 9.84343E-04 1.75423E-03 5.81521E-03 0.024747 6 4 40.0 45.0 135.0 4.01926E-02 7.70481E-04 9.93125E-04 1.76361E-03 5.81972E-03 0.024709 6 7 40.0 90.0 90.0 4.19817E-02 7.69398E-04 1.04168E-03 1.81108E-03 5.81155E-03 0.024813 5 1 50.0 0.0 180.0 3.72014E-02 7.96367E-04 1.28647E-03 2.08284E-03 6.01525E-03 0.034581 5 4 50.0 45.0 135.0 3.75818E-02 7.92547E-04 1.30240E-03 2.09494E-03 5.98639E-03 0.034655 5 7 50.0 90.0 90.0 3.93362E-02 7.90887E-04 1.36518E-03 2.15606E-03 5.97386E-03 0.034705 4 1 60.0 0.0 180.0 3.43567E-02 8.03228E-04 2.13646E-03 2.93969E-03 6.06707E-03 0.062185 4 4 60.0 45.0 135.0 3.46965E-02 7.97762E-04 2.15225E-03 2.95001E-03 6.02579E-03 0.062031 4 7 60.0 90.0 90.0 3.63361E-02 8.03371E-04 2.27268E-03 3.07605E-03 6.06816E-03 0.062546 3 1 70.0 0.0 180.0 3.12978E-02 7.67403E-04 4.29767E-03 5.06507E-03 5.79648E-03 0.137315 3 4 70.0 45.0 135.0 3.15986E-02 7.69185E-04 4.35271E-03 5.12190E-03 5.80994E-03 0.137750 3 7 70.0 90.0 90.0 3.30818E-02 7.70603E-04 4.63008E-03 5.40069E-03 5.82065E-03 0.139959 2 1 80.0 0.0 180.0 2.80949E-02 6.75701E-04 8.82740E-03 9.50310E-03 5.10382E-03 0.314199 2 4 80.0 45.0 135.0 2.83619E-02 6.74587E-04 9.09938E-03 9.77397E-03 5.09540E-03 0.320832 2 7 80.0 90.0 90.0 2.96733E-02 6.71905E-04 9.63070E-03 1.03026E-02 5.07514E-03 0.324558 1 1 87.5 0.0 180.0 2.56490E-02 5.59668E-04 1.47192E-02 1.52788E-02 4.22738E-03 0.573869 1 4 87.5 45.0 135.0 2.58953E-02 5.30588E-04 1.54768E-02 1.60074E-02 4.00772E-03 0.597670 1 7 87.5 90.0 90.0 2.70782E-02 5.80978E-04 1.61816E-02 1.67626E-02 4.38834E-03 0.597587 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 405.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.645E-03 4.726E-02 2.046E-02 2.192E-02 3.112E-02 1.242E-02 6.071E+00 7.152E-04 5.402E-03 1 0.00 0.00 1.326E-03 8.340E-02 3.374E-03 3.485E-03 3.653E-03 1.035E-02 4.323E+00 3 1.80 5.00 8.280E-04 5.883E-02 3.055E-03 3.157E-03 3.449E-03 9.282E-03 4.722E+00 5 4.26 10.00 4.527E-04 3.648E-02 2.068E-03 2.146E-03 2.328E-03 8.383E-03 4.960E+00 7 7.84 15.00 2.291E-04 1.817E-02 1.046E-03 1.083E-03 1.151E-03 8.712E-03 4.826E+00 9 11.64 20.00 1.374E-04 8.513E-03 5.172E-04 5.310E-04 5.524E-04 1.125E-02 4.473E+00 11 14.07 25.00 9.824E-05 5.082E-03 3.430E-04 3.494E-04 3.585E-04 1.349E-02 4.416E+00 Waveband 1 of 30 completed in 5.0 sec. * * * * * Output for wavelength band 2 (410.0 to 420.0 nm; nominal wavelength = 415.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 103.6 m at 415.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 410.0 nm to 420.0 nm: Ed(diffuse) = 3.082E-01 Ed(direct) = 2.583E-01 Ed(total) = 5.665E-01 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 1.416E-01 Ed(direct) = 0.000E+00 Ed(total) = 1.416E-01 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 0.0301 0.0000 0.0095 0.0441 3 1.791 5.000 0.0044 0.0379 0.0000 0.0118 0.0541 5 4.237 10.000 0.0044 0.0547 0.0000 0.0166 0.0757 7 7.812 15.000 0.0044 0.0800 0.0000 0.0236 0.1081 9 11.614 20.000 0.0044 0.0636 0.0000 0.0191 0.0872 11 14.036 25.000 0.0044 0.0259 0.0000 0.0082 0.0386 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 0.1309 0.1353 0.0000 0.2727 3 1.791 5.000 0.0065 0.1555 0.1820 0.0000 0.3440 5 4.237 10.000 0.0065 0.2026 0.2909 0.0000 0.4999 7 7.812 15.000 0.0065 0.2634 0.4710 0.0000 0.7408 9 11.614 20.000 0.0065 0.2251 0.3524 0.0000 0.5840 11 14.036 25.000 0.0065 0.1166 0.1109 0.0000 0.2340 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 0.00184 0.00024 0.00000 0.00530 3 1.791 5.000 0.00323 0.00218 0.00032 0.00000 0.00573 5 4.237 10.000 0.00323 0.00284 0.00051 0.00000 0.00658 7 7.812 15.000 0.00323 0.00369 0.00083 0.00000 0.00775 9 11.614 20.000 0.00323 0.00316 0.00062 0.00000 0.00701 11 14.036 25.000 0.00323 0.00163 0.00020 0.00000 0.00506 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 0.0441 0.2727 0.3168 0.8608 0.00530 0.01945 3 1.791 5.000 0.0541 0.3440 0.3981 0.8641 0.00573 0.01666 5 4.237 10.000 0.0757 0.4999 0.5756 0.8685 0.00658 0.01317 7 7.812 15.000 0.1081 0.7408 0.8489 0.8727 0.00775 0.01046 9 11.614 20.000 0.0872 0.5840 0.6711 0.8701 0.00701 0.01200 11 14.036 25.000 0.0386 0.2340 0.2725 0.8584 0.00506 0.02163 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4850E-01 8 20.00 8.2286E-01 7 30.00 6.5573E-01 6 40.00 4.8536E-01 5 50.00 3.3888E-01 4 60.00 2.2757E-01 3 70.00 1.5028E-01 2 80.00 1.0029E-01 1 87.50 7.4652E-02 1 92.50 6.0718E-02 2 100.00 4.7152E-02 3 110.00 3.5727E-02 4 120.00 2.8556E-02 5 130.00 2.4104E-02 6 140.00 2.1339E-02 7 150.00 1.9636E-02 8 160.00 1.8621E-02 9 170.00 1.8082E-02 10 180.00 1.7891E-02 Asymptotic AOP values are MUu(inf) = 0.3920 MUd(inf) = 0.7053 MU(inf) = 0.6042 R(inf) = 0.0564 Lu(inf)/Ed(inf) = 0.012575 (1/sr) k(inf) = 0.0639 (1/m) absorp(check) = 0.0386 = k(inf)*MU(inf) The CDOM absorption at each wavelength is constant with depth with a value of 0.00 (1/m) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 415.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 3.8088E-02 2.6164E-01 2.9973E-01 1.0522E-02 1.4162E-01 0.2763 0.5413 0.4374 7.4298E-02 1 0.00 0.00 1.3912E-02 1.7142E-01 1.8533E-01 5.7904E-03 1.3689E-01 0.4162 0.7985 0.7074 4.2300E-02 3 1.79 5.00 1.0305E-02 1.2741E-01 1.3772E-01 3.9787E-03 9.5372E-02 0.3861 0.7485 0.6636 4.1718E-02 5 4.24 10.00 6.2251E-03 7.9717E-02 8.5943E-02 2.3020E-03 5.7752E-02 0.3698 0.7245 0.6452 3.9860E-02 7 7.81 15.00 3.0661E-03 3.9313E-02 4.2379E-02 1.1346E-03 2.8097E-02 0.3701 0.7147 0.6362 4.0383E-02 9 11.61 20.00 1.6114E-03 1.8327E-02 1.9938E-02 6.2368E-04 1.3028E-02 0.3870 0.7109 0.6222 4.7871E-02 11 14.04 25.00 1.1121E-03 1.0980E-02 1.2092E-02 4.3724E-04 7.7705E-03 0.3932 0.7077 0.6064 5.6269E-02 K-functions (units of 1/meter) at 415.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.05222 0.05022 0.05037 0.06183 0.06233 0.06235 0.08140 5.000 5.010 5.005 0.08047 0.07297 0.07353 0.09164 0.08199 0.08157 0.10585 10.000 10.010 10.005 0.12237 0.11352 0.11416 0.12776 0.11777 0.11736 0.13261 15.000 15.010 15.005 0.15095 0.16719 0.16601 0.14438 0.16880 0.16983 0.12917 20.000 20.010 20.005 0.10179 0.13694 0.13410 0.09192 0.13773 0.14003 0.08025 25.000 25.010 25.005 0.06191 0.06268 0.06261 0.06292 0.06360 0.06364 0.06356 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 5.05504E-02 7.15367E-04 9.94198E-04 1.70956E-03 5.05117E-03 0.019667 9 1 10.0 0.0 180.0 4.87952E-02 7.25924E-04 9.61784E-04 1.68771E-03 5.12572E-03 0.019711 9 4 10.0 45.0 135.0 4.91238E-02 7.23793E-04 9.69373E-04 1.69317E-03 5.11067E-03 0.019733 9 7 10.0 90.0 90.0 5.01117E-02 7.23973E-04 9.91357E-04 1.71533E-03 5.11194E-03 0.019783 8 1 20.0 0.0 180.0 4.70642E-02 7.35920E-04 9.42813E-04 1.67873E-03 5.19630E-03 0.020033 8 4 20.0 45.0 135.0 4.75006E-02 7.30223E-04 9.52764E-04 1.68299E-03 5.15607E-03 0.020058 8 7 20.0 90.0 90.0 4.90164E-02 7.31912E-04 9.80388E-04 1.71230E-03 5.16800E-03 0.020001 7 1 30.0 0.0 180.0 4.49791E-02 7.52085E-04 9.54474E-04 1.70656E-03 5.31044E-03 0.021220 7 4 30.0 45.0 135.0 4.54418E-02 7.53299E-04 9.65811E-04 1.71911E-03 5.31901E-03 0.021254 7 7 30.0 90.0 90.0 4.72547E-02 7.51823E-04 1.00327E-03 1.75510E-03 5.30859E-03 0.021231 6 1 40.0 0.0 180.0 4.25508E-02 7.71791E-04 1.05299E-03 1.82478E-03 5.44958E-03 0.024747 6 4 40.0 45.0 135.0 4.29955E-02 7.72489E-04 1.06238E-03 1.83487E-03 5.45451E-03 0.024709 6 7 40.0 90.0 90.0 4.49093E-02 7.71663E-04 1.11433E-03 1.88599E-03 5.44868E-03 0.024813 5 1 50.0 0.0 180.0 3.97958E-02 7.99308E-04 1.37619E-03 2.17549E-03 5.64388E-03 0.034581 5 4 50.0 45.0 135.0 4.02027E-02 7.95598E-04 1.39322E-03 2.18882E-03 5.61768E-03 0.034655 5 7 50.0 90.0 90.0 4.20793E-02 7.94266E-04 1.46038E-03 2.25464E-03 5.60828E-03 0.034705 4 1 60.0 0.0 180.0 3.67526E-02 8.07227E-04 2.28545E-03 3.09267E-03 5.69979E-03 0.062185 4 4 60.0 45.0 135.0 3.71161E-02 8.01877E-04 2.30234E-03 3.10422E-03 5.66202E-03 0.062031 4 7 60.0 90.0 90.0 3.88700E-02 8.07916E-04 2.43116E-03 3.23908E-03 5.70466E-03 0.062546 3 1 70.0 0.0 180.0 3.34804E-02 7.72417E-04 4.59738E-03 5.36979E-03 5.45400E-03 0.137315 3 4 70.0 45.0 135.0 3.38022E-02 7.74366E-04 4.65626E-03 5.43062E-03 5.46776E-03 0.137750 3 7 70.0 90.0 90.0 3.53888E-02 7.76253E-04 4.95297E-03 5.72922E-03 5.48109E-03 0.139959 2 1 80.0 0.0 180.0 3.00541E-02 6.81095E-04 9.44299E-03 1.01241E-02 4.80918E-03 0.314199 2 4 80.0 45.0 135.0 3.03397E-02 6.80133E-04 9.73394E-03 1.04141E-02 4.80239E-03 0.320832 2 7 80.0 90.0 90.0 3.17426E-02 6.77857E-04 1.03023E-02 1.09802E-02 4.78632E-03 0.324558 1 1 87.5 0.0 180.0 2.74377E-02 5.64957E-04 1.57456E-02 1.63106E-02 3.98914E-03 0.573869 1 4 87.5 45.0 135.0 2.77011E-02 5.35726E-04 1.65561E-02 1.70918E-02 3.78273E-03 0.597670 1 7 87.5 90.0 90.0 2.89666E-02 5.87028E-04 1.73100E-02 1.78971E-02 4.14498E-03 0.597587 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 415.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.710E-03 5.055E-02 2.187E-02 2.343E-02 3.327E-02 1.207E-02 6.155E+00 7.154E-04 5.051E-03 1 0.00 0.00 1.327E-03 8.921E-02 3.441E-03 3.559E-03 3.741E-03 9.692E-03 4.365E+00 3 1.79 5.00 8.327E-04 6.303E-02 3.159E-03 3.268E-03 3.580E-03 8.731E-03 4.778E+00 5 4.24 10.00 4.576E-04 3.912E-02 2.157E-03 2.240E-03 2.436E-03 7.924E-03 5.031E+00 7 7.81 15.00 2.311E-04 1.947E-02 1.097E-03 1.137E-03 1.210E-03 8.224E-03 4.910E+00 9 11.61 20.00 1.372E-04 9.113E-03 5.404E-04 5.552E-04 5.782E-04 1.053E-02 4.546E+00 11 14.04 25.00 9.771E-05 5.443E-03 3.552E-04 3.622E-04 3.721E-04 1.257E-02 4.475E+00 Waveband 2 of 30 completed in 4.9 sec. * * * * * Output for wavelength band 3 (420.0 to 430.0 nm; nominal wavelength = 425.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 103.6 m at 425.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 420.0 nm to 430.0 nm: Ed(diffuse) = 2.883E-01 Ed(direct) = 2.588E-01 Ed(total) = 5.470E-01 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 1.368E-01 Ed(direct) = 0.000E+00 Ed(total) = 1.368E-01 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 0.0316 0.0000 0.0083 0.0447 3 1.780 5.000 0.0048 0.0395 0.0000 0.0102 0.0545 5 4.216 10.000 0.0048 0.0563 0.0000 0.0144 0.0754 7 7.780 15.000 0.0048 0.0813 0.0000 0.0206 0.1066 9 11.573 20.000 0.0048 0.0651 0.0000 0.0166 0.0865 11 13.984 25.000 0.0048 0.0273 0.0000 0.0072 0.0393 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 0.1300 0.1343 0.0000 0.2702 3 1.780 5.000 0.0058 0.1546 0.1811 0.0000 0.3415 5 4.216 10.000 0.0058 0.2021 0.2901 0.0000 0.4980 7 7.780 15.000 0.0058 0.2634 0.4710 0.0000 0.7402 9 11.573 20.000 0.0058 0.2248 0.3518 0.0000 0.5825 11 13.984 25.000 0.0058 0.1156 0.1100 0.0000 0.2314 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 0.00182 0.00024 0.00000 0.00497 3 1.780 5.000 0.00291 0.00217 0.00032 0.00000 0.00540 5 4.216 10.000 0.00291 0.00283 0.00051 0.00000 0.00626 7 7.780 15.000 0.00291 0.00369 0.00083 0.00000 0.00744 9 11.573 20.000 0.00291 0.00315 0.00062 0.00000 0.00669 11 13.984 25.000 0.00291 0.00162 0.00019 0.00000 0.00473 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 0.0447 0.2702 0.3148 0.8581 0.00497 0.01841 3 1.780 5.000 0.0545 0.3415 0.3960 0.8624 0.00540 0.01582 5 4.216 10.000 0.0754 0.4980 0.5734 0.8684 0.00626 0.01257 7 7.780 15.000 0.1066 0.7402 0.8468 0.8741 0.00744 0.01005 9 11.573 20.000 0.0865 0.5825 0.6690 0.8707 0.00669 0.01148 11 13.984 25.000 0.0393 0.2314 0.2707 0.8549 0.00473 0.02044 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4771E-01 8 20.00 8.2030E-01 7 30.00 6.5128E-01 6 40.00 4.7963E-01 5 50.00 3.3278E-01 4 60.00 2.2180E-01 3 70.00 1.4525E-01 2 80.00 9.6057E-02 1 87.50 7.0996E-02 1 92.50 5.7440E-02 2 100.00 4.4300E-02 3 110.00 3.3295E-02 4 120.00 2.6431E-02 5 130.00 2.2195E-02 6 140.00 1.9577E-02 7 150.00 1.7970E-02 8 160.00 1.7017E-02 9 170.00 1.6511E-02 10 180.00 1.6333E-02 Asymptotic AOP values are MUu(inf) = 0.3889 MUd(inf) = 0.7084 MU(inf) = 0.6124 R(inf) = 0.0527 Lu(inf)/Ed(inf) = 0.011601 (1/sr) k(inf) = 0.0641 (1/m) absorp(check) = 0.0393 = 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 3.6533E-02 2.5265E-01 2.8918E-01 1.0032E-02 1.3676E-01 0.2746 0.5413 0.4382 7.3356E-02 1 0.00 0.00 1.2775E-02 1.6501E-01 1.7778E-01 5.3018E-03 1.3202E-01 0.4150 0.8001 0.7128 4.0158E-02 3 1.78 5.00 9.5935E-03 1.2256E-01 1.3216E-01 3.6908E-03 9.1948E-02 0.3847 0.7502 0.6678 4.0140E-02 5 4.22 10.00 5.9010E-03 7.6945E-02 8.2846E-02 2.1729E-03 5.5827E-02 0.3682 0.7256 0.6476 3.8922E-02 7 7.78 15.00 2.9555E-03 3.8327E-02 4.1283E-02 1.0847E-03 2.7396E-02 0.3670 0.7148 0.6373 3.9592E-02 9 11.57 20.00 1.5385E-03 1.8035E-02 1.9574E-02 5.8774E-04 1.2821E-02 0.3820 0.7109 0.6250 4.5840E-02 11 13.98 25.00 1.0368E-03 1.0808E-02 1.1844E-02 4.0356E-04 7.6597E-03 0.3892 0.7087 0.6126 5.2686E-02 K-functions (units of 1/meter) at 425.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.04976 0.05044 0.05039 0.05959 0.06257 0.06270 0.07962 5.000 5.010 5.005 0.07707 0.07283 0.07314 0.08838 0.08188 0.08161 0.10316 10.000 10.010 10.005 0.11818 0.11235 0.11277 0.12389 0.11681 0.11652 0.12984 15.000 15.010 15.005 0.15040 0.16446 0.16345 0.14495 0.16632 0.16720 0.13097 20.000 20.010 20.005 0.10652 0.13578 0.13348 0.09715 0.13647 0.13835 0.08434 25.000 25.010 25.005 0.06312 0.06359 0.06355 0.06373 0.06408 0.06410 0.06407 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 4.88131E-02 6.50407E-04 9.60028E-04 1.61044E-03 4.75595E-03 0.019667 9 1 10.0 0.0 180.0 4.71181E-02 6.60045E-04 9.28729E-04 1.58877E-03 4.82643E-03 0.019711 9 4 10.0 45.0 135.0 4.74355E-02 6.58137E-04 9.36057E-04 1.59419E-03 4.81247E-03 0.019733 9 7 10.0 90.0 90.0 4.83894E-02 6.58374E-04 9.57285E-04 1.61566E-03 4.81421E-03 0.019783 8 1 20.0 0.0 180.0 4.54466E-02 6.69367E-04 9.10410E-04 1.57978E-03 4.89459E-03 0.020033 8 4 20.0 45.0 135.0 4.58681E-02 6.64234E-04 9.20019E-04 1.58425E-03 4.85706E-03 0.020058 8 7 20.0 90.0 90.0 4.73318E-02 6.65895E-04 9.46693E-04 1.61259E-03 4.86920E-03 0.020001 7 1 30.0 0.0 180.0 4.34332E-02 6.84408E-04 9.21670E-04 1.60608E-03 5.00457E-03 0.021220 7 4 30.0 45.0 135.0 4.38801E-02 6.85581E-04 9.32617E-04 1.61820E-03 5.01315E-03 0.021254 7 7 30.0 90.0 90.0 4.56306E-02 6.84416E-04 9.68791E-04 1.65321E-03 5.00464E-03 0.021231 6 1 40.0 0.0 180.0 4.10884E-02 7.02966E-04 1.01680E-03 1.71976E-03 5.14028E-03 0.024747 6 4 40.0 45.0 135.0 4.15178E-02 7.03698E-04 1.02587E-03 1.72957E-03 5.14563E-03 0.024709 6 7 40.0 90.0 90.0 4.33659E-02 7.03197E-04 1.07603E-03 1.77923E-03 5.14197E-03 0.024813 5 1 50.0 0.0 180.0 3.84280E-02 7.28706E-04 1.32889E-03 2.05759E-03 5.32849E-03 0.034581 5 4 50.0 45.0 135.0 3.88210E-02 7.25444E-04 1.34534E-03 2.07078E-03 5.30464E-03 0.034655 5 7 50.0 90.0 90.0 4.06331E-02 7.24547E-04 1.41019E-03 2.13473E-03 5.29809E-03 0.034705 4 1 60.0 0.0 180.0 3.54895E-02 7.36627E-04 2.20690E-03 2.94353E-03 5.38641E-03 0.062185 4 4 60.0 45.0 135.0 3.58405E-02 7.31884E-04 2.22322E-03 2.95510E-03 5.35173E-03 0.062031 4 7 60.0 90.0 90.0 3.75341E-02 7.37774E-04 2.34761E-03 3.08538E-03 5.39480E-03 0.062546 3 1 70.0 0.0 180.0 3.23298E-02 7.05623E-04 4.43937E-03 5.14499E-03 5.15971E-03 0.137315 3 4 70.0 45.0 135.0 3.26404E-02 7.07552E-04 4.49623E-03 5.20378E-03 5.17381E-03 0.137750 3 7 70.0 90.0 90.0 3.41725E-02 7.09701E-04 4.78274E-03 5.49245E-03 5.18952E-03 0.139959 2 1 80.0 0.0 180.0 2.90212E-02 6.22802E-04 9.11845E-03 9.74125E-03 4.55410E-03 0.314199 2 4 80.0 45.0 135.0 2.92970E-02 6.22073E-04 9.39940E-03 1.00215E-02 4.54876E-03 0.320832 2 7 80.0 90.0 90.0 3.06517E-02 6.20388E-04 9.94824E-03 1.05686E-02 4.53644E-03 0.324558 1 1 87.5 0.0 180.0 2.64947E-02 5.17086E-04 1.52045E-02 1.57216E-02 3.78108E-03 0.573869 1 4 87.5 45.0 135.0 2.67491E-02 4.90449E-04 1.59871E-02 1.64776E-02 3.58629E-03 0.597670 1 7 87.5 90.0 90.0 2.79710E-02 5.37799E-04 1.67151E-02 1.72529E-02 3.93253E-03 0.597587 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 425.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.610E-03 4.881E-02 2.111E-02 2.261E-02 3.212E-02 1.178E-02 6.229E+00 6.504E-04 4.756E-03 1 0.00 0.00 1.206E-03 8.615E-02 3.170E-03 3.283E-03 3.461E-03 9.136E-03 4.396E+00 3 1.78 5.00 7.653E-04 6.089E-02 2.954E-03 3.060E-03 3.361E-03 8.323E-03 4.823E+00 5 4.22 10.00 4.264E-04 3.789E-02 2.053E-03 2.134E-03 2.325E-03 7.638E-03 5.096E+00 7 7.78 15.00 2.165E-04 1.899E-02 1.069E-03 1.108E-03 1.181E-03 7.901E-03 5.011E+00 9 11.57 20.00 1.265E-04 8.961E-03 5.280E-04 5.430E-04 5.662E-04 9.866E-03 4.646E+00 11 13.98 25.00 8.891E-05 5.369E-03 3.395E-04 3.464E-04 3.562E-04 1.161E-02 4.539E+00 Waveband 3 of 30 completed in 4.9 sec. * * * * * Output for wavelength band 4 (430.0 to 440.0 nm; nominal wavelength = 435.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 103.6 m at 435.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 430.0 nm to 440.0 nm: Ed(diffuse) = 2.898E-01 Ed(direct) = 2.775E-01 Ed(total) = 5.673E-01 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 1.418E-01 Ed(direct) = 0.000E+00 Ed(total) = 1.418E-01 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 0.0332 0.0000 0.0072 0.0457 3 1.773 5.000 0.0053 0.0412 0.0000 0.0089 0.0554 5 4.202 10.000 0.0053 0.0583 0.0000 0.0125 0.0761 7 7.763 15.000 0.0053 0.0835 0.0000 0.0179 0.1067 9 11.553 20.000 0.0053 0.0673 0.0000 0.0144 0.0870 11 13.958 25.000 0.0053 0.0288 0.0000 0.0062 0.0403 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 0.1291 0.1334 0.0000 0.2678 3 1.773 5.000 0.0053 0.1538 0.1801 0.0000 0.3392 5 4.202 10.000 0.0053 0.2016 0.2893 0.0000 0.4962 7 7.763 15.000 0.0053 0.2634 0.4710 0.0000 0.7396 9 11.553 20.000 0.0053 0.2245 0.3513 0.0000 0.5811 11 13.958 25.000 0.0053 0.1147 0.1091 0.0000 0.2291 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 0.00181 0.00023 0.00000 0.00468 3 1.773 5.000 0.00264 0.00216 0.00032 0.00000 0.00511 5 4.202 10.000 0.00264 0.00283 0.00051 0.00000 0.00597 7 7.763 15.000 0.00264 0.00369 0.00083 0.00000 0.00716 9 11.553 20.000 0.00264 0.00315 0.00062 0.00000 0.00640 11 13.958 25.000 0.00264 0.00161 0.00019 0.00000 0.00444 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 0.0457 0.2678 0.3135 0.8542 0.00468 0.01748 3 1.773 5.000 0.0554 0.3392 0.3946 0.8595 0.00511 0.01506 5 4.202 10.000 0.0761 0.4962 0.5723 0.8670 0.00597 0.01203 7 7.763 15.000 0.1067 0.7396 0.8463 0.8739 0.00716 0.00968 9 11.553 20.000 0.0870 0.5811 0.6681 0.8698 0.00640 0.01102 11 13.958 25.000 0.0403 0.2291 0.2694 0.8504 0.00444 0.01937 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4668E-01 8 20.00 8.1699E-01 7 30.00 6.4557E-01 6 40.00 4.7240E-01 5 50.00 3.2521E-01 4 60.00 2.1483E-01 3 70.00 1.3931E-01 2 80.00 9.1200E-02 1 87.50 6.6886E-02 1 92.50 5.3815E-02 2 100.00 4.1209E-02 3 110.00 3.0719E-02 4 120.00 2.4224E-02 5 130.00 2.0240E-02 6 140.00 1.7792E-02 7 150.00 1.6297E-02 8 160.00 1.5412E-02 9 170.00 1.4945E-02 10 180.00 1.4780E-02 Asymptotic AOP values are MUu(inf) = 0.3858 MUd(inf) = 0.7122 MU(inf) = 0.6214 R(inf) = 0.0489 Lu(inf)/Ed(inf) = 0.010637 (1/sr) k(inf) = 0.0649 (1/m) absorp(check) = 0.0403 = 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 3.7613E-02 2.6200E-01 2.9961E-01 1.0261E-02 1.4182E-01 0.2728 0.5413 0.4391 7.2350E-02 1 0.00 0.00 1.2508E-02 1.7052E-01 1.8303E-01 5.1741E-03 1.3673E-01 0.4137 0.8018 0.7188 3.7842E-02 3 1.77 5.00 9.4778E-03 1.2614E-01 1.3562E-01 3.6311E-03 9.4872E-02 0.3831 0.7521 0.6728 3.8273E-02 5 4.20 10.00 5.8910E-03 7.9028E-02 8.4919E-02 2.1586E-03 5.7465E-02 0.3664 0.7272 0.6513 3.7563E-02 7 7.76 15.00 2.9697E-03 3.9418E-02 4.2388E-02 1.0807E-03 2.8212E-02 0.3639 0.7157 0.6401 3.8307E-02 9 11.55 20.00 1.5220E-03 1.8558E-02 2.0080E-02 5.7416E-04 1.3210E-02 0.3772 0.7118 0.6293 4.3463E-02 11 13.96 25.00 1.0001E-03 1.1073E-02 1.2073E-02 3.8549E-04 7.8678E-03 0.3854 0.7106 0.6198 4.8996E-02 K-functions (units of 1/meter) at 435.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.04792 0.05116 0.05094 0.05810 0.06338 0.06358 0.07866 5.000 5.010 5.005 0.07492 0.07352 0.07362 0.08638 0.08255 0.08240 0.10173 10.000 10.010 10.005 0.11586 0.11251 0.11274 0.12188 0.11709 0.11691 0.12887 15.000 15.010 15.005 0.15164 0.16384 0.16298 0.14716 0.16588 0.16662 0.13426 20.000 20.010 20.005 0.11180 0.13607 0.13423 0.10285 0.13665 0.13819 0.08898 25.000 25.010 25.005 0.06474 0.06491 0.06490 0.06499 0.06503 0.06503 0.06504 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 5.06202E-02 6.30451E-04 9.95570E-04 1.62602E-03 4.44545E-03 0.019667 9 1 10.0 0.0 180.0 4.88625E-02 6.39826E-04 9.63112E-04 1.60294E-03 4.51155E-03 0.019711 9 4 10.0 45.0 135.0 4.91916E-02 6.38000E-04 9.70711E-04 1.60871E-03 4.49868E-03 0.019733 9 7 10.0 90.0 90.0 5.01809E-02 6.38291E-04 9.92725E-04 1.63102E-03 4.50073E-03 0.019783 8 1 20.0 0.0 180.0 4.71291E-02 6.49054E-04 9.44114E-04 1.59317E-03 4.57663E-03 0.020033 8 4 20.0 45.0 135.0 4.75662E-02 6.44116E-04 9.54079E-04 1.59820E-03 4.54181E-03 0.020058 8 7 20.0 90.0 90.0 4.90841E-02 6.45829E-04 9.81741E-04 1.62757E-03 4.55388E-03 0.020001 7 1 30.0 0.0 180.0 4.50412E-02 6.63918E-04 9.55792E-04 1.61971E-03 4.68143E-03 0.021220 7 4 30.0 45.0 135.0 4.55046E-02 6.65112E-04 9.67144E-04 1.63226E-03 4.68985E-03 0.021254 7 7 30.0 90.0 90.0 4.73199E-02 6.64128E-04 1.00466E-03 1.66879E-03 4.68292E-03 0.021231 6 1 40.0 0.0 180.0 4.26095E-02 6.82446E-04 1.05444E-03 1.73689E-03 4.81208E-03 0.024747 6 4 40.0 45.0 135.0 4.30548E-02 6.83235E-04 1.06385E-03 1.74708E-03 4.81764E-03 0.024709 6 7 40.0 90.0 90.0 4.49713E-02 6.82958E-04 1.11587E-03 1.79882E-03 4.81569E-03 0.024813 5 1 50.0 0.0 180.0 3.98507E-02 7.08022E-04 1.37809E-03 2.08611E-03 4.99242E-03 0.034581 5 4 50.0 45.0 135.0 4.02582E-02 7.04952E-04 1.39515E-03 2.10010E-03 4.97077E-03 0.034655 5 7 50.0 90.0 90.0 4.21374E-02 7.04347E-04 1.46239E-03 2.16674E-03 4.96651E-03 0.034705 4 1 60.0 0.0 180.0 3.68034E-02 7.16340E-04 2.28860E-03 3.00494E-03 5.05107E-03 0.062185 4 4 60.0 45.0 135.0 3.71673E-02 7.11842E-04 2.30552E-03 3.01736E-03 5.01936E-03 0.062031 4 7 60.0 90.0 90.0 3.89237E-02 7.17890E-04 2.43452E-03 3.15241E-03 5.06200E-03 0.062546 3 1 70.0 0.0 180.0 3.35267E-02 6.86896E-04 4.60372E-03 5.29062E-03 4.84346E-03 0.137315 3 4 70.0 45.0 135.0 3.38488E-02 6.88897E-04 4.66268E-03 5.35158E-03 4.85757E-03 0.137750 3 7 70.0 90.0 90.0 3.54376E-02 6.91352E-04 4.95981E-03 5.65116E-03 4.87488E-03 0.139959 2 1 80.0 0.0 180.0 3.00956E-02 6.06850E-04 9.45603E-03 1.00629E-02 4.27903E-03 0.314199 2 4 80.0 45.0 135.0 3.03816E-02 6.06265E-04 9.74738E-03 1.03536E-02 4.27491E-03 0.320832 2 7 80.0 90.0 90.0 3.17864E-02 6.04964E-04 1.03165E-02 1.09215E-02 4.26573E-03 0.324558 1 1 87.5 0.0 180.0 2.74756E-02 5.04325E-04 1.57674E-02 1.62717E-02 3.55611E-03 0.573869 1 4 87.5 45.0 135.0 2.77393E-02 4.78444E-04 1.65790E-02 1.70574E-02 3.37361E-03 0.597670 1 7 87.5 90.0 90.0 2.90065E-02 5.24968E-04 1.73339E-02 1.78589E-02 3.70167E-03 0.597587 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 435.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.626E-03 5.062E-02 2.187E-02 2.343E-02 3.329E-02 1.147E-02 6.310E+00 6.305E-04 4.445E-03 1 0.00 0.00 1.169E-03 8.933E-02 3.116E-03 3.232E-03 3.417E-03 8.551E-03 4.426E+00 3 1.77 5.00 7.461E-04 6.300E-02 2.939E-03 3.047E-03 3.355E-03 7.864E-03 4.867E+00 5 4.20 10.00 4.183E-04 3.913E-02 2.063E-03 2.147E-03 2.344E-03 7.279E-03 5.160E+00 7 7.76 15.00 2.116E-04 1.961E-02 1.086E-03 1.127E-03 1.203E-03 7.499E-03 5.108E+00 9 11.55 20.00 1.211E-04 9.257E-03 5.345E-04 5.500E-04 5.740E-04 9.165E-03 4.742E+00 11 13.96 25.00 8.379E-05 5.536E-03 3.355E-04 3.426E-04 3.527E-04 1.065E-02 4.600E+00 Waveband 4 of 30 completed in 5.0 sec. * * * * * Output for wavelength band 5 (440.0 to 450.0 nm; nominal wavelength = 445.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 103.6 m at 445.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 440.0 nm to 450.0 nm: Ed(diffuse) = 3.353E-01 Ed(direct) = 3.387E-01 Ed(total) = 6.740E-01 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 1.685E-01 Ed(direct) = 0.000E+00 Ed(total) = 1.685E-01 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 0.0325 0.0000 0.0062 0.0463 3 1.763 5.000 0.0075 0.0401 0.0000 0.0077 0.0553 5 4.178 10.000 0.0075 0.0560 0.0000 0.0109 0.0744 7 7.718 15.000 0.0075 0.0793 0.0000 0.0155 0.1023 9 11.485 20.000 0.0075 0.0643 0.0000 0.0125 0.0844 11 13.876 25.000 0.0075 0.0283 0.0000 0.0054 0.0412 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 0.1282 0.1325 0.0000 0.2655 3 1.763 5.000 0.0048 0.1530 0.1792 0.0000 0.3370 5 4.178 10.000 0.0048 0.2010 0.2886 0.0000 0.4945 7 7.718 15.000 0.0048 0.2634 0.4710 0.0000 0.7391 9 11.485 20.000 0.0048 0.2242 0.3508 0.0000 0.5798 11 13.876 25.000 0.0048 0.1138 0.1082 0.0000 0.2268 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 0.00180 0.00023 0.00000 0.00442 3 1.763 5.000 0.00239 0.00215 0.00032 0.00000 0.00485 5 4.178 10.000 0.00239 0.00282 0.00051 0.00000 0.00572 7 7.718 15.000 0.00239 0.00369 0.00083 0.00000 0.00691 9 11.485 20.000 0.00239 0.00314 0.00062 0.00000 0.00615 11 13.876 25.000 0.00239 0.00160 0.00019 0.00000 0.00418 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 0.0463 0.2655 0.3118 0.8516 0.00442 0.01665 3 1.763 5.000 0.0553 0.3370 0.3923 0.8590 0.00485 0.01439 5 4.178 10.000 0.0744 0.4945 0.5688 0.8692 0.00572 0.01156 7 7.718 15.000 0.1023 0.7391 0.8414 0.8784 0.00691 0.00935 9 11.485 20.000 0.0844 0.5798 0.6642 0.8730 0.00615 0.01061 11 13.876 25.000 0.0412 0.2268 0.2680 0.8462 0.00418 0.01841 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4574E-01 8 20.00 8.1397E-01 7 30.00 6.4041E-01 6 40.00 4.6590E-01 5 50.00 3.1846E-01 4 60.00 2.0866E-01 3 70.00 1.3411E-01 2 80.00 8.6983E-02 1 87.50 6.3340E-02 1 92.50 5.0701E-02 2 100.00 3.8566E-02 3 110.00 2.8528E-02 4 120.00 2.2352E-02 5 130.00 1.8586E-02 6 140.00 1.6283E-02 7 150.00 1.4883E-02 8 160.00 1.4058E-02 9 170.00 1.3622E-02 10 180.00 1.3469E-02 Asymptotic AOP values are MUu(inf) = 0.3829 MUd(inf) = 0.7155 MU(inf) = 0.6294 R(inf) = 0.0456 Lu(inf)/Ed(inf) = 0.009809 (1/sr) k(inf) = 0.0655 (1/m) absorp(check) = 0.0412 = 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 4.4507E-02 3.1131E-01 3.5582E-01 1.2095E-02 1.6851E-01 0.2718 0.5413 0.4396 7.1777E-02 1 0.00 0.00 1.4327E-02 2.0219E-01 2.1652E-01 5.9226E-03 1.6233E-01 0.4134 0.8029 0.7224 3.6484E-02 3 1.76 5.00 1.1085E-02 1.4964E-01 1.6073E-01 4.2460E-03 1.1272E-01 0.3831 0.7533 0.6749 3.7668E-02 5 4.18 10.00 7.1119E-03 9.4691E-02 1.0180E-01 2.6036E-03 6.8868E-02 0.3661 0.7273 0.6509 3.7806E-02 7 7.72 15.00 3.7116E-03 4.8412E-02 5.2123E-02 1.3413E-03 3.4575E-02 0.3614 0.7142 0.6376 3.8794E-02 9 11.49 20.00 1.8950E-03 2.3359E-02 2.5254E-02 7.0374E-04 1.6585E-02 0.3714 0.7100 0.6289 4.2433E-02 11 13.88 25.00 1.1988E-03 1.3999E-02 1.5198E-02 4.5679E-04 9.9434E-03 0.3810 0.7103 0.6242 4.5939E-02 K-functions (units of 1/meter) at 445.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.04454 0.05165 0.05118 0.05467 0.06371 0.06405 0.07555 5.000 5.010 5.005 0.06929 0.07280 0.07256 0.08083 0.08192 0.08196 0.09692 10.000 10.010 10.005 0.10828 0.10938 0.10930 0.11476 0.11433 0.11431 0.12337 15.000 15.010 15.005 0.14819 0.15733 0.15667 0.14551 0.15980 0.16038 0.13487 20.000 20.010 20.005 0.11770 0.13260 0.13148 0.10999 0.13305 0.13408 0.09487 25.000 25.010 25.005 0.06724 0.06670 0.06674 0.06670 0.06608 0.06605 0.06614 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 6.01467E-02 7.18724E-04 1.18293E-03 1.90166E-03 4.26519E-03 0.019667 9 1 10.0 0.0 180.0 5.80582E-02 7.29430E-04 1.14437E-03 1.87379E-03 4.32873E-03 0.019711 9 4 10.0 45.0 135.0 5.84493E-02 7.27388E-04 1.15339E-03 1.88078E-03 4.31661E-03 0.019733 9 7 10.0 90.0 90.0 5.96247E-02 7.27816E-04 1.17955E-03 1.90737E-03 4.31915E-03 0.019783 8 1 20.0 0.0 180.0 5.59986E-02 7.40181E-04 1.12179E-03 1.86197E-03 4.39253E-03 0.020033 8 4 20.0 45.0 135.0 5.65179E-02 7.34614E-04 1.13363E-03 1.86825E-03 4.35949E-03 0.020058 8 7 20.0 90.0 90.0 5.83215E-02 7.36729E-04 1.16650E-03 1.90323E-03 4.37204E-03 0.020001 7 1 30.0 0.0 180.0 5.35178E-02 7.57459E-04 1.13567E-03 1.89313E-03 4.49506E-03 0.021220 7 4 30.0 45.0 135.0 5.40683E-02 7.58912E-04 1.14916E-03 1.90807E-03 4.50369E-03 0.021254 7 7 30.0 90.0 90.0 5.62253E-02 7.58020E-04 1.19373E-03 1.95175E-03 4.49839E-03 0.021231 6 1 40.0 0.0 180.0 5.06285E-02 7.79175E-04 1.25288E-03 2.03206E-03 4.62393E-03 0.024747 6 4 40.0 45.0 135.0 5.11575E-02 7.80200E-04 1.26406E-03 2.04426E-03 4.63002E-03 0.024709 6 7 40.0 90.0 90.0 5.34347E-02 7.80203E-04 1.32587E-03 2.10607E-03 4.63003E-03 0.024813 5 1 50.0 0.0 180.0 4.73504E-02 8.08916E-04 1.63744E-03 2.44635E-03 4.80043E-03 0.034581 5 4 50.0 45.0 135.0 4.78346E-02 8.05561E-04 1.65771E-03 2.46327E-03 4.78052E-03 0.034655 5 7 50.0 90.0 90.0 5.00675E-02 8.05264E-04 1.73761E-03 2.54287E-03 4.77876E-03 0.034705 4 1 60.0 0.0 180.0 4.37296E-02 8.18930E-04 2.71931E-03 3.53824E-03 4.85985E-03 0.062185 4 4 60.0 45.0 135.0 4.41620E-02 8.13962E-04 2.73941E-03 3.55337E-03 4.83037E-03 0.062031 4 7 60.0 90.0 90.0 4.62490E-02 8.21337E-04 2.89269E-03 3.71402E-03 4.87414E-03 0.062546 3 1 70.0 0.0 180.0 3.98362E-02 7.85699E-04 5.47012E-03 6.25582E-03 4.66265E-03 0.137315 3 4 70.0 45.0 135.0 4.02190E-02 7.88172E-04 5.54018E-03 6.32835E-03 4.67732E-03 0.137750 3 7 70.0 90.0 90.0 4.21068E-02 7.91479E-04 5.89322E-03 6.68470E-03 4.69695E-03 0.139959 2 1 80.0 0.0 180.0 3.57595E-02 6.94423E-04 1.12356E-02 1.19300E-02 4.12098E-03 0.314199 2 4 80.0 45.0 135.0 3.60993E-02 6.93931E-04 1.15818E-02 1.22757E-02 4.11806E-03 0.320832 2 7 80.0 90.0 90.0 3.77685E-02 6.92908E-04 1.22581E-02 1.29510E-02 4.11199E-03 0.324558 1 1 87.5 0.0 180.0 3.26464E-02 5.77254E-04 1.87347E-02 1.93120E-02 3.42565E-03 0.573869 1 4 87.5 45.0 135.0 3.29598E-02 5.47773E-04 1.96991E-02 2.02468E-02 3.25070E-03 0.597670 1 7 87.5 90.0 90.0 3.44655E-02 6.01471E-04 2.05961E-02 2.11976E-02 3.56937E-03 0.597587 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 445.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.902E-03 6.015E-02 2.598E-02 2.783E-02 3.954E-02 1.129E-02 6.360E+00 7.187E-04 4.265E-03 1 0.00 0.00 1.333E-03 1.061E-01 3.571E-03 3.708E-03 3.929E-03 8.210E-03 4.444E+00 3 1.76 5.00 8.671E-04 7.494E-02 3.425E-03 3.555E-03 3.922E-03 7.692E-03 4.897E+00 5 4.18 10.00 4.990E-04 4.688E-02 2.479E-03 2.582E-03 2.823E-03 7.245E-03 5.218E+00 7 7.72 15.00 2.567E-04 2.393E-02 1.363E-03 1.415E-03 1.512E-03 7.424E-03 5.226E+00 9 11.49 20.00 1.443E-04 1.154E-02 6.819E-04 7.022E-04 7.337E-04 8.703E-03 4.876E+00 11 13.88 25.00 9.775E-05 6.962E-03 4.141E-04 4.232E-04 4.362E-04 9.831E-03 4.673E+00 Waveband 5 of 30 completed in 4.9 sec. * * * * * Output for wavelength band 6 (450.0 to 460.0 nm; nominal wavelength = 455.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 103.6 m at 455.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 450.0 nm to 460.0 nm: Ed(diffuse) = 3.523E-01 Ed(direct) = 3.734E-01 Ed(total) = 7.258E-01 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 1.814E-01 Ed(direct) = 0.000E+00 Ed(total) = 1.814E-01 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 0.0301 0.0000 0.0054 0.0451 3 1.745 5.000 0.0096 0.0369 0.0000 0.0067 0.0533 5 4.134 10.000 0.0096 0.0513 0.0000 0.0095 0.0704 7 7.641 15.000 0.0096 0.0722 0.0000 0.0135 0.0953 9 11.375 20.000 0.0096 0.0588 0.0000 0.0109 0.0793 11 13.742 25.000 0.0096 0.0262 0.0000 0.0047 0.0406 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 0.1274 0.1316 0.0000 0.2633 3 1.745 5.000 0.0043 0.1522 0.1783 0.0000 0.3348 5 4.134 10.000 0.0043 0.2006 0.2879 0.0000 0.4928 7 7.641 15.000 0.0043 0.2634 0.4710 0.0000 0.7387 9 11.375 20.000 0.0043 0.2239 0.3504 0.0000 0.5786 11 13.742 25.000 0.0043 0.1129 0.1074 0.0000 0.2246 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 0.00179 0.00023 0.00000 0.00419 3 1.745 5.000 0.00217 0.00213 0.00031 0.00000 0.00462 5 4.134 10.000 0.00217 0.00281 0.00051 0.00000 0.00549 7 7.641 15.000 0.00217 0.00369 0.00083 0.00000 0.00669 9 11.375 20.000 0.00217 0.00314 0.00062 0.00000 0.00593 11 13.742 25.000 0.00217 0.00158 0.00019 0.00000 0.00394 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 0.0451 0.2633 0.3084 0.8537 0.00419 0.01591 3 1.745 5.000 0.0533 0.3348 0.3881 0.8627 0.00462 0.01379 5 4.134 10.000 0.0704 0.4928 0.5632 0.8750 0.00549 0.01114 7 7.641 15.000 0.0953 0.7387 0.8340 0.8857 0.00669 0.00906 9 11.375 20.000 0.0793 0.5786 0.6579 0.8795 0.00593 0.01024 11 13.742 25.000 0.0406 0.2246 0.2652 0.8470 0.00394 0.01755 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4594E-01 8 20.00 8.1459E-01 7 30.00 6.4137E-01 6 40.00 4.6695E-01 5 50.00 3.1933E-01 4 60.00 2.0920E-01 3 70.00 1.3431E-01 2 80.00 8.6912E-02 1 87.50 6.3116E-02 1 92.50 5.0389E-02 2 100.00 3.8176E-02 3 110.00 2.8082E-02 4 120.00 2.1877E-02 5 130.00 1.8099E-02 6 140.00 1.5791E-02 7 150.00 1.4388E-02 8 160.00 1.3562E-02 9 170.00 1.3126E-02 10 180.00 1.2973E-02 Asymptotic AOP values are MUu(inf) = 0.3803 MUd(inf) = 0.7156 MU(inf) = 0.6311 R(inf) = 0.0444 Lu(inf)/Ed(inf) = 0.009434 (1/sr) k(inf) = 0.0643 (1/m) absorp(check) = 0.0406 = 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 4.7947E-02 3.3521E-01 3.8315E-01 1.3033E-02 1.8144E-01 0.2718 0.5413 0.4395 7.1827E-02 1 0.00 0.00 1.5485E-02 2.1777E-01 2.3325E-01 6.4059E-03 1.7481E-01 0.4137 0.8027 0.7220 3.6644E-02 3 1.74 5.00 1.2341E-02 1.6313E-01 1.7547E-01 4.7372E-03 1.2284E-01 0.3839 0.7530 0.6731 3.8563E-02 5 4.13 10.00 8.2673E-03 1.0571E-01 1.1397E-01 3.0313E-03 7.6702E-02 0.3667 0.7256 0.6464 3.9520E-02 7 7.64 15.00 4.5307E-03 5.6265E-02 6.0795E-02 1.6311E-03 3.9985E-02 0.3600 0.7106 0.6309 4.0793E-02 9 11.37 20.00 2.3507E-03 2.8269E-02 3.0620E-02 8.6225E-04 1.9956E-02 0.3668 0.7059 0.6236 4.3208E-02 11 13.74 25.00 1.4564E-03 1.7248E-02 1.8704E-02 5.4948E-04 1.2201E-02 0.3773 0.7074 0.6229 4.5036E-02 K-functions (units of 1/meter) at 455.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.04024 0.05032 0.04965 0.04966 0.06201 0.06248 0.07049 5.000 5.010 5.005 0.06163 0.06955 0.06899 0.07320 0.07890 0.07913 0.08985 10.000 10.010 10.005 0.09831 0.10332 0.10295 0.10519 0.10873 0.10888 0.11513 15.000 15.010 15.005 0.14096 0.14755 0.14706 0.13994 0.15050 0.15095 0.13151 20.000 20.010 20.005 0.11938 0.12606 0.12555 0.11312 0.12647 0.12707 0.09739 25.000 25.010 25.005 0.06762 0.06640 0.06649 0.06637 0.06517 0.06511 0.06528 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 6.47638E-02 7.73647E-04 1.27374E-03 2.04738E-03 4.26382E-03 0.019667 9 1 10.0 0.0 180.0 6.25150E-02 7.85234E-04 1.23221E-03 2.01745E-03 4.32768E-03 0.019711 9 4 10.0 45.0 135.0 6.29360E-02 7.83095E-04 1.24193E-03 2.02503E-03 4.31589E-03 0.019733 9 7 10.0 90.0 90.0 6.42017E-02 7.83701E-04 1.27010E-03 2.05380E-03 4.31923E-03 0.019783 8 1 20.0 0.0 180.0 6.02973E-02 7.97224E-04 1.20791E-03 2.00513E-03 4.39376E-03 0.020033 8 4 20.0 45.0 135.0 6.08565E-02 7.91325E-04 1.22065E-03 2.01198E-03 4.36125E-03 0.020058 8 7 20.0 90.0 90.0 6.27985E-02 7.93844E-04 1.25605E-03 2.04989E-03 4.37513E-03 0.020001 7 1 30.0 0.0 180.0 5.76260E-02 8.16412E-04 1.22285E-03 2.03926E-03 4.49951E-03 0.021220 7 4 30.0 45.0 135.0 5.82188E-02 8.18115E-04 1.23737E-03 2.05548E-03 4.50890E-03 0.021254 7 7 30.0 90.0 90.0 6.05414E-02 8.17492E-04 1.28536E-03 2.10286E-03 4.50546E-03 0.021231 6 1 40.0 0.0 180.0 5.45149E-02 8.40813E-04 1.34906E-03 2.18987E-03 4.63400E-03 0.024747 6 4 40.0 45.0 135.0 5.50846E-02 8.42107E-04 1.36109E-03 2.20320E-03 4.64113E-03 0.024709 6 7 40.0 90.0 90.0 5.75366E-02 8.42574E-04 1.42765E-03 2.27022E-03 4.64370E-03 0.024813 5 1 50.0 0.0 180.0 5.09852E-02 8.73801E-04 1.76313E-03 2.63693E-03 4.81580E-03 0.034581 5 4 50.0 45.0 135.0 5.15065E-02 8.70403E-04 1.78496E-03 2.65536E-03 4.79707E-03 0.034655 5 7 50.0 90.0 90.0 5.39109E-02 8.70645E-04 1.87100E-03 2.74164E-03 4.79841E-03 0.034705 4 1 60.0 0.0 180.0 4.70864E-02 8.85436E-04 2.92805E-03 3.81349E-03 4.87993E-03 0.062185 4 4 60.0 45.0 135.0 4.75521E-02 8.80319E-04 2.94970E-03 3.83002E-03 4.85173E-03 0.062031 4 7 60.0 90.0 90.0 4.97992E-02 8.88940E-04 3.11474E-03 4.00368E-03 4.89924E-03 0.062546 3 1 70.0 0.0 180.0 4.28942E-02 8.50118E-04 5.89003E-03 6.74015E-03 4.68528E-03 0.137315 3 4 70.0 45.0 135.0 4.33064E-02 8.53058E-04 5.96547E-03 6.81852E-03 4.70148E-03 0.137750 3 7 70.0 90.0 90.0 4.53391E-02 8.57319E-04 6.34561E-03 7.20293E-03 4.72496E-03 0.139959 2 1 80.0 0.0 180.0 3.85045E-02 7.51707E-04 1.20981E-02 1.28498E-02 4.14290E-03 0.314199 2 4 80.0 45.0 135.0 3.88704E-02 7.51423E-04 1.24709E-02 1.32223E-02 4.14134E-03 0.320832 2 7 80.0 90.0 90.0 4.06677E-02 7.50941E-04 1.31990E-02 1.39500E-02 4.13868E-03 0.324558 1 1 87.5 0.0 180.0 3.51524E-02 6.24964E-04 2.01729E-02 2.07978E-02 3.44438E-03 0.573869 1 4 87.5 45.0 135.0 3.54899E-02 5.93246E-04 2.12112E-02 2.18045E-02 3.26957E-03 0.597670 1 7 87.5 90.0 90.0 3.71112E-02 6.51962E-04 2.21771E-02 2.28291E-02 3.59318E-03 0.597587 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 2.047E-03 6.476E-02 2.798E-02 2.997E-02 4.258E-02 1.128E-02 6.366E+00 7.736E-04 4.264E-03 1 0.00 0.00 1.435E-03 1.143E-01 3.848E-03 3.999E-03 4.244E-03 8.206E-03 4.466E+00 3 1.74 5.00 9.616E-04 8.154E-02 3.771E-03 3.917E-03 4.327E-03 7.828E-03 4.926E+00 5 4.13 10.00 5.751E-04 5.195E-02 2.849E-03 2.968E-03 3.249E-03 7.498E-03 5.271E+00 7 7.64 15.00 3.059E-04 2.738E-02 1.658E-03 1.722E-03 1.842E-03 7.651E-03 5.332E+00 9 11.37 20.00 1.722E-04 1.369E-02 8.587E-04 8.848E-04 9.254E-04 8.631E-03 5.006E+00 11 13.74 25.00 1.156E-04 8.425E-03 5.143E-04 5.260E-04 5.428E-04 9.476E-03 4.752E+00 Waveband 6 of 30 completed in 4.9 sec. * * * * * Output for wavelength band 7 (460.0 to 470.0 nm; nominal wavelength = 465.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 103.6 m at 465.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 460.0 nm to 470.0 nm: Ed(diffuse) = 3.449E-01 Ed(direct) = 3.819E-01 Ed(total) = 7.269E-01 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 1.817E-01 Ed(direct) = 0.000E+00 Ed(total) = 1.817E-01 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 0.0281 0.0000 0.0047 0.0430 3 1.722 5.000 0.0101 0.0346 0.0000 0.0058 0.0505 5 4.085 10.000 0.0101 0.0481 0.0000 0.0082 0.0664 7 7.564 15.000 0.0101 0.0677 0.0000 0.0117 0.0896 9 11.268 20.000 0.0101 0.0551 0.0000 0.0095 0.0747 11 13.609 25.000 0.0101 0.0245 0.0000 0.0041 0.0387 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 0.1265 0.1307 0.0000 0.2612 3 1.722 5.000 0.0040 0.1515 0.1774 0.0000 0.3328 5 4.085 10.000 0.0040 0.2001 0.2872 0.0000 0.4913 7 7.564 15.000 0.0040 0.2634 0.4710 0.0000 0.7383 9 11.268 20.000 0.0040 0.2236 0.3499 0.0000 0.5774 11 13.609 25.000 0.0040 0.1121 0.1066 0.0000 0.2226 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 0.00177 0.00023 0.00000 0.00398 3 1.722 5.000 0.00198 0.00212 0.00031 0.00000 0.00441 5 4.085 10.000 0.00198 0.00281 0.00051 0.00000 0.00529 7 7.564 15.000 0.00198 0.00369 0.00083 0.00000 0.00650 9 11.268 20.000 0.00198 0.00313 0.00062 0.00000 0.00573 11 13.609 25.000 0.00198 0.00157 0.00019 0.00000 0.00374 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 0.0430 0.2612 0.3042 0.8588 0.00398 0.01524 3 1.722 5.000 0.0505 0.3328 0.3833 0.8682 0.00441 0.01326 5 4.085 10.000 0.0664 0.4913 0.5577 0.8809 0.00529 0.01076 7 7.564 15.000 0.0896 0.7383 0.8279 0.8918 0.00650 0.00880 9 11.268 20.000 0.0747 0.5774 0.6521 0.8854 0.00573 0.00992 11 13.609 25.000 0.0387 0.2226 0.2613 0.8517 0.00374 0.01678 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4702E-01 8 20.00 8.1800E-01 7 30.00 6.4708E-01 6 40.00 4.7387E-01 5 50.00 3.2613E-01 4 60.00 2.1497E-01 3 70.00 1.3872E-01 2 80.00 9.0064E-02 1 87.50 6.5463E-02 1 92.50 5.2235E-02 2 100.00 3.9507E-02 3 110.00 2.8955E-02 4 120.00 2.2447E-02 5 130.00 1.8473E-02 6 140.00 1.6040E-02 7 150.00 1.4560E-02 8 160.00 1.3686E-02 9 170.00 1.3225E-02 10 180.00 1.3064E-02 Asymptotic AOP values are MUu(inf) = 0.3780 MUd(inf) = 0.7130 MU(inf) = 0.6279 R(inf) = 0.0448 Lu(inf)/Ed(inf) = 0.009388 (1/sr) k(inf) = 0.0617 (1/m) absorp(check) = 0.0388 = 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 4.8237E-02 3.3570E-01 3.8394E-01 1.3162E-02 1.8171E-01 0.2729 0.5413 0.4390 7.2432E-02 1 0.00 0.00 1.6146E-02 2.1862E-01 2.3477E-01 6.6878E-03 1.7523E-01 0.4142 0.8015 0.7179 3.8165E-02 3 1.72 5.00 1.3163E-02 1.6671E-01 1.7988E-01 5.0666E-03 1.2531E-01 0.3849 0.7517 0.6685 4.0433E-02 5 4.09 10.00 9.1060E-03 1.1081E-01 1.1992E-01 3.3472E-03 8.0133E-02 0.3676 0.7231 0.6403 4.1770E-02 7 7.56 15.00 5.1809E-03 6.1078E-02 6.6259E-02 1.8657E-03 4.3183E-02 0.3601 0.7070 0.6236 4.3204E-02 9 11.27 20.00 2.7570E-03 3.1785E-02 3.4542E-02 1.0073E-03 2.2307E-02 0.3654 0.7018 0.6166 4.5155E-02 11 13.61 25.00 1.7194E-03 1.9827E-02 2.1546E-02 6.4596E-04 1.3949E-02 0.3757 0.7036 0.6174 4.6308E-02 K-functions (units of 1/meter) at 465.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.03723 0.04774 0.04702 0.04579 0.05902 0.05954 0.06622 5.000 5.010 5.005 0.05602 0.06536 0.06468 0.06753 0.07496 0.07527 0.08431 10.000 10.010 10.005 0.09115 0.09744 0.09696 0.09819 0.10320 0.10342 0.10859 15.000 15.010 15.005 0.13403 0.13962 0.13918 0.13379 0.14286 0.14327 0.12649 20.000 20.010 20.005 0.11647 0.11992 0.11964 0.11103 0.12036 0.12080 0.09554 25.000 25.010 25.005 0.06542 0.06398 0.06410 0.06396 0.06256 0.06250 0.06273 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 6.48596E-02 8.04189E-04 1.27562E-03 2.07981E-03 4.42560E-03 0.019667 9 1 10.0 0.0 180.0 6.26074E-02 8.16281E-04 1.23403E-03 2.05031E-03 4.49215E-03 0.019711 9 4 10.0 45.0 135.0 6.30291E-02 8.14123E-04 1.24377E-03 2.05789E-03 4.48027E-03 0.019733 9 7 10.0 90.0 90.0 6.42967E-02 8.14914E-04 1.27198E-03 2.08689E-03 4.48462E-03 0.019783 8 1 20.0 0.0 180.0 6.03864E-02 8.29162E-04 1.20969E-03 2.03885E-03 4.56303E-03 0.020033 8 4 20.0 45.0 135.0 6.09465E-02 8.23136E-04 1.22246E-03 2.04560E-03 4.52987E-03 0.020058 8 7 20.0 90.0 90.0 6.28913E-02 8.26021E-04 1.25790E-03 2.08392E-03 4.54575E-03 0.020001 7 1 30.0 0.0 180.0 5.77112E-02 8.49707E-04 1.22465E-03 2.07436E-03 4.67610E-03 0.021220 7 4 30.0 45.0 135.0 5.83049E-02 8.51633E-04 1.23920E-03 2.09083E-03 4.68670E-03 0.021254 7 7 30.0 90.0 90.0 6.06309E-02 8.51353E-04 1.28727E-03 2.13862E-03 4.68516E-03 0.021231 6 1 40.0 0.0 180.0 5.45955E-02 8.76128E-04 1.35105E-03 2.22718E-03 4.82149E-03 0.024747 6 4 40.0 45.0 135.0 5.51660E-02 8.77684E-04 1.36311E-03 2.24079E-03 4.83006E-03 0.024709 6 7 40.0 90.0 90.0 5.76217E-02 8.78664E-04 1.42976E-03 2.30842E-03 4.83545E-03 0.024813 5 1 50.0 0.0 180.0 5.10606E-02 9.11429E-04 1.76574E-03 2.67717E-03 5.01576E-03 0.034581 5 4 50.0 45.0 135.0 5.15827E-02 9.08132E-04 1.78760E-03 2.69573E-03 4.99762E-03 0.034655 5 7 50.0 90.0 90.0 5.39906E-02 9.08967E-04 1.87376E-03 2.78273E-03 5.00222E-03 0.034705 4 1 60.0 0.0 180.0 4.71561E-02 9.24419E-04 2.93238E-03 3.85680E-03 5.08725E-03 0.062185 4 4 60.0 45.0 135.0 4.76224E-02 9.19351E-04 2.95406E-03 3.87341E-03 5.05936E-03 0.062031 4 7 60.0 90.0 90.0 4.98728E-02 9.29002E-04 3.11935E-03 4.04835E-03 5.11247E-03 0.062546 3 1 70.0 0.0 180.0 4.29576E-02 8.88188E-04 5.89874E-03 6.78693E-03 4.88787E-03 0.137315 3 4 70.0 45.0 135.0 4.33704E-02 8.91538E-04 5.97429E-03 6.86583E-03 4.90630E-03 0.137750 3 7 70.0 90.0 90.0 4.54062E-02 8.96652E-04 6.35499E-03 7.25164E-03 4.93444E-03 0.139959 2 1 80.0 0.0 180.0 3.85615E-02 7.85732E-04 1.21160E-02 1.29017E-02 4.32403E-03 0.314199 2 4 80.0 45.0 135.0 3.89279E-02 7.85693E-04 1.24893E-02 1.32750E-02 4.32382E-03 0.320832 2 7 80.0 90.0 90.0 4.07279E-02 7.85776E-04 1.32186E-02 1.40043E-02 4.32427E-03 0.324558 1 1 87.5 0.0 180.0 3.52044E-02 6.53343E-04 2.02027E-02 2.08560E-02 3.59547E-03 0.573869 1 4 87.5 45.0 135.0 3.55424E-02 6.20385E-04 2.12426E-02 2.18630E-02 3.41409E-03 0.597670 1 7 87.5 90.0 90.0 3.71660E-02 6.82295E-04 2.22099E-02 2.28922E-02 3.75480E-03 0.597587 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 2.080E-03 6.486E-02 2.803E-02 3.003E-02 4.266E-02 1.145E-02 6.328E+00 8.042E-04 4.426E-03 1 0.00 0.00 1.491E-03 1.145E-01 3.995E-03 4.155E-03 4.408E-03 8.509E-03 4.485E+00 3 1.72 5.00 1.024E-03 8.288E-02 3.973E-03 4.128E-03 4.559E-03 8.175E-03 4.946E+00 5 4.09 10.00 6.317E-04 5.389E-02 3.101E-03 3.232E-03 3.539E-03 7.883E-03 5.299E+00 7 7.56 15.00 3.467E-04 2.924E-02 1.881E-03 1.954E-03 2.091E-03 8.027E-03 5.382E+00 9 11.27 20.00 1.985E-04 1.509E-02 1.008E-03 1.039E-03 1.087E-03 8.899E-03 5.074E+00 11 13.61 25.00 1.344E-04 9.489E-03 6.105E-04 6.247E-04 6.451E-04 9.632E-03 4.807E+00 Waveband 7 of 30 completed in 4.8 sec. * * * * * Output for wavelength band 8 (470.0 to 480.0 nm; nominal wavelength = 475.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 103.6 m at 475.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 470.0 nm to 480.0 nm: Ed(diffuse) = 3.447E-01 Ed(direct) = 3.969E-01 Ed(total) = 7.415E-01 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 1.854E-01 Ed(direct) = 0.000E+00 Ed(total) = 1.854E-01 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 0.0259 0.0000 0.0041 0.0414 3 1.703 5.000 0.0114 0.0318 0.0000 0.0051 0.0483 5 4.042 10.000 0.0114 0.0441 0.0000 0.0072 0.0627 7 7.492 15.000 0.0114 0.0620 0.0000 0.0102 0.0836 9 11.166 20.000 0.0114 0.0505 0.0000 0.0082 0.0702 11 13.485 25.000 0.0114 0.0226 0.0000 0.0036 0.0376 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 0.1257 0.1299 0.0000 0.2593 3 1.703 5.000 0.0036 0.1507 0.1765 0.0000 0.3309 5 4.042 10.000 0.0036 0.1996 0.2866 0.0000 0.4898 7 7.492 15.000 0.0036 0.2634 0.4710 0.0000 0.7380 9 11.166 20.000 0.0036 0.2233 0.3494 0.0000 0.5763 11 13.485 25.000 0.0036 0.1112 0.1058 0.0000 0.2206 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 0.00176 0.00023 0.00000 0.00379 3 1.703 5.000 0.00180 0.00211 0.00031 0.00000 0.00423 5 4.042 10.000 0.00180 0.00280 0.00050 0.00000 0.00511 7 7.492 15.000 0.00180 0.00369 0.00083 0.00000 0.00632 9 11.166 20.000 0.00180 0.00313 0.00061 0.00000 0.00555 11 13.485 25.000 0.00180 0.00156 0.00019 0.00000 0.00355 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 0.0414 0.2593 0.3007 0.8622 0.00379 0.01464 3 1.703 5.000 0.0483 0.3309 0.3792 0.8727 0.00423 0.01277 5 4.042 10.000 0.0627 0.4898 0.5524 0.8865 0.00511 0.01042 7 7.492 15.000 0.0836 0.7380 0.8216 0.8982 0.00632 0.00857 9 11.166 20.000 0.0702 0.5763 0.6465 0.8915 0.00555 0.00963 11 13.485 25.000 0.0376 0.2206 0.2582 0.8544 0.00355 0.01608 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4764E-01 8 20.00 8.1994E-01 7 30.00 6.5030E-01 6 40.00 4.7775E-01 5 50.00 3.2992E-01 4 60.00 2.1813E-01 3 70.00 1.4107E-01 2 80.00 9.1674E-02 1 87.50 6.6600E-02 1 92.50 5.3077E-02 2 100.00 4.0050E-02 3 110.00 2.9235E-02 4 120.00 2.2555E-02 5 130.00 1.8472E-02 6 140.00 1.5972E-02 7 150.00 1.4449E-02 8 160.00 1.3550E-02 9 170.00 1.3076E-02 10 180.00 1.2909E-02 Asymptotic AOP values are MUu(inf) = 0.3758 MUd(inf) = 0.7117 MU(inf) = 0.6270 R(inf) = 0.0446 Lu(inf)/Ed(inf) = 0.009217 (1/sr) k(inf) = 0.0600 (1/m) absorp(check) = 0.0376 = 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 4.9358E-02 3.4249E-01 3.9185E-01 1.3500E-02 1.8539E-01 0.2735 0.5413 0.4387 7.2822E-02 1 0.00 0.00 1.6873E-02 2.2338E-01 2.4025E-01 6.9999E-03 1.7888E-01 0.4149 0.8008 0.7154 3.9132E-02 3 1.70 5.00 1.4099E-02 1.7268E-01 1.8678E-01 5.4442E-03 1.2965E-01 0.3861 0.7508 0.6650 4.1990E-02 5 4.04 10.00 1.0106E-02 1.1745E-01 1.2755E-01 3.7241E-03 8.4688E-02 0.3685 0.7211 0.6347 4.3974E-02 7 7.49 15.00 5.9811E-03 6.7066E-02 7.3047E-02 2.1501E-03 4.7178E-02 0.3595 0.7035 0.6164 4.5574E-02 9 11.17 20.00 3.2383E-03 3.6163E-02 3.9401E-02 1.1730E-03 2.5233E-02 0.3622 0.6978 0.6107 4.6488E-02 11 13.48 25.00 2.0016E-03 2.2977E-02 2.4978E-02 7.4631E-04 1.6090E-02 0.3729 0.7003 0.6143 4.6385E-02 K-functions (units of 1/meter) at 475.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.03373 0.04603 0.04517 0.04154 0.05688 0.05751 0.06174 5.000 5.010 5.005 0.04973 0.06193 0.06101 0.06124 0.07174 0.07220 0.07842 10.000 10.010 10.005 0.08315 0.09184 0.09115 0.09055 0.09801 0.09835 0.10204 15.000 15.010 15.005 0.12773 0.13127 0.13098 0.12883 0.13490 0.13519 0.12338 20.000 20.010 20.005 0.11642 0.11399 0.11419 0.11215 0.11442 0.11453 0.09643 25.000 25.010 25.005 0.06476 0.06283 0.06298 0.06284 0.06100 0.06091 0.06125 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 6.61707E-02 8.38577E-04 1.30141E-03 2.13999E-03 4.52341E-03 0.019667 9 1 10.0 0.0 180.0 6.38730E-02 8.51261E-04 1.25898E-03 2.11024E-03 4.59183E-03 0.019711 9 4 10.0 45.0 135.0 6.43032E-02 8.49076E-04 1.26891E-03 2.11799E-03 4.58004E-03 0.019733 9 7 10.0 90.0 90.0 6.55964E-02 8.50060E-04 1.29769E-03 2.14775E-03 4.58535E-03 0.019783 8 1 20.0 0.0 180.0 6.16071E-02 8.65156E-04 1.23415E-03 2.09930E-03 4.66678E-03 0.020033 8 4 20.0 45.0 135.0 6.21785E-02 8.58976E-04 1.24717E-03 2.10615E-03 4.63344E-03 0.020058 8 7 20.0 90.0 90.0 6.41626E-02 8.62248E-04 1.28333E-03 2.14558E-03 4.65109E-03 0.020001 7 1 30.0 0.0 180.0 5.88778E-02 8.87228E-04 1.24941E-03 2.13664E-03 4.78584E-03 0.021220 7 4 30.0 45.0 135.0 5.94835E-02 8.89389E-04 1.26425E-03 2.15364E-03 4.79750E-03 0.021254 7 7 30.0 90.0 90.0 6.18566E-02 8.89463E-04 1.31329E-03 2.20275E-03 4.79790E-03 0.021231 6 1 40.0 0.0 180.0 5.56991E-02 9.15886E-04 1.37836E-03 2.29425E-03 4.94042E-03 0.024747 6 4 40.0 45.0 135.0 5.62812E-02 9.17717E-04 1.39066E-03 2.30838E-03 4.95030E-03 0.024709 6 7 40.0 90.0 90.0 5.87865E-02 9.19237E-04 1.45866E-03 2.37790E-03 4.95850E-03 0.024813 5 1 50.0 0.0 180.0 5.20928E-02 9.53698E-04 1.80143E-03 2.75513E-03 5.14439E-03 0.034581 5 4 50.0 45.0 135.0 5.26254E-02 9.50493E-04 1.82373E-03 2.77423E-03 5.12710E-03 0.034655 5 7 50.0 90.0 90.0 5.50820E-02 9.51958E-04 1.91164E-03 2.86360E-03 5.13500E-03 0.034705 4 1 60.0 0.0 180.0 4.81093E-02 9.68090E-04 2.99166E-03 3.95975E-03 5.22202E-03 0.062185 4 4 60.0 45.0 135.0 4.85851E-02 9.63055E-04 3.01377E-03 3.97683E-03 5.19486E-03 0.062031 4 7 60.0 90.0 90.0 5.08810E-02 9.73831E-04 3.18240E-03 4.15623E-03 5.25299E-03 0.062546 3 1 70.0 0.0 180.0 4.38260E-02 9.30652E-04 6.01798E-03 6.94863E-03 5.02007E-03 0.137315 3 4 70.0 45.0 135.0 4.42472E-02 9.34440E-04 6.09505E-03 7.02949E-03 5.04051E-03 0.137750 3 7 70.0 90.0 90.0 4.63240E-02 9.40489E-04 6.48346E-03 7.42394E-03 5.07314E-03 0.139959 2 1 80.0 0.0 180.0 3.93410E-02 8.23522E-04 1.23609E-02 1.31844E-02 4.44220E-03 0.314199 2 4 80.0 45.0 135.0 3.97148E-02 8.23739E-04 1.27418E-02 1.35655E-02 4.44337E-03 0.320832 2 7 80.0 90.0 90.0 4.15512E-02 8.24449E-04 1.34858E-02 1.43102E-02 4.44720E-03 0.324558 1 1 87.5 0.0 180.0 3.59160E-02 6.84709E-04 2.06111E-02 2.12958E-02 3.69342E-03 0.573869 1 4 87.5 45.0 135.0 3.62608E-02 6.50373E-04 2.16720E-02 2.23224E-02 3.50821E-03 0.597670 1 7 87.5 90.0 90.0 3.79173E-02 7.15820E-04 2.26589E-02 2.33747E-02 3.86124E-03 0.597587 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 2.140E-03 6.617E-02 2.861E-02 3.065E-02 4.353E-02 1.154E-02 6.309E+00 8.386E-04 4.523E-03 1 0.00 0.00 1.555E-03 1.168E-01 4.157E-03 4.326E-03 4.592E-03 8.692E-03 4.502E+00 3 1.70 5.00 1.096E-03 8.554E-02 4.200E-03 4.365E-03 4.824E-03 8.454E-03 4.967E+00 5 4.04 10.00 6.975E-04 5.662E-02 3.397E-03 3.542E-03 3.880E-03 8.236E-03 5.339E+00 7 7.49 15.00 3.933E-04 3.161E-02 2.158E-03 2.243E-03 2.401E-03 8.336E-03 5.467E+00 9 11.17 20.00 2.263E-04 1.683E-02 1.193E-03 1.231E-03 1.289E-03 8.970E-03 5.183E+00 11 13.48 25.00 1.529E-04 1.079E-02 7.210E-04 7.383E-04 7.631E-04 9.503E-03 4.881E+00 Waveband 8 of 30 completed in 4.8 sec. * * * * * Output for wavelength band 9 (480.0 to 490.0 nm; nominal wavelength = 485.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 103.6 m at 485.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 480.0 nm to 490.0 nm: Ed(diffuse) = 3.288E-01 Ed(direct) = 3.920E-01 Ed(total) = 7.208E-01 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 1.802E-01 Ed(direct) = 0.000E+00 Ed(total) = 1.802E-01 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 0.0236 0.0000 0.0036 0.0407 3 1.688 5.000 0.0136 0.0289 0.0000 0.0044 0.0470 5 4.009 10.000 0.0136 0.0402 0.0000 0.0062 0.0600 7 7.436 15.000 0.0136 0.0565 0.0000 0.0089 0.0789 9 11.087 20.000 0.0136 0.0460 0.0000 0.0072 0.0668 11 13.387 25.000 0.0136 0.0206 0.0000 0.0031 0.0373 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 0.1250 0.1291 0.0000 0.2573 3 1.688 5.000 0.0033 0.1500 0.1757 0.0000 0.3290 5 4.009 10.000 0.0033 0.1991 0.2859 0.0000 0.4883 7 7.436 15.000 0.0033 0.2634 0.4710 0.0000 0.7377 9 11.087 20.000 0.0033 0.2230 0.3490 0.0000 0.5753 11 13.387 25.000 0.0033 0.1104 0.1050 0.0000 0.2187 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 0.00175 0.00023 0.00000 0.00363 3 1.688 5.000 0.00165 0.00210 0.00031 0.00000 0.00406 5 4.009 10.000 0.00165 0.00279 0.00050 0.00000 0.00494 7 7.436 15.000 0.00165 0.00369 0.00083 0.00000 0.00617 9 11.087 20.000 0.00165 0.00313 0.00061 0.00000 0.00539 11 13.387 25.000 0.00165 0.00155 0.00018 0.00000 0.00338 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 0.0407 0.2573 0.2981 0.8633 0.00363 0.01409 3 1.688 5.000 0.0470 0.3290 0.3760 0.8751 0.00406 0.01234 5 4.009 10.000 0.0600 0.4883 0.5483 0.8906 0.00494 0.01012 7 7.436 15.000 0.0789 0.7377 0.8166 0.9033 0.00617 0.00836 9 11.087 20.000 0.0668 0.5753 0.6420 0.8960 0.00539 0.00937 11 13.387 25.000 0.0373 0.2187 0.2560 0.8544 0.00338 0.01545 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4765E-01 8 20.00 8.1994E-01 7 30.00 6.5026E-01 6 40.00 4.7760E-01 5 50.00 3.2962E-01 4 60.00 2.1770E-01 3 70.00 1.4054E-01 2 80.00 9.1099E-02 1 87.50 6.6009E-02 1 92.50 5.2482E-02 2 100.00 3.9462E-02 3 110.00 2.8667E-02 4 120.00 2.2008E-02 5 130.00 1.7944E-02 6 140.00 1.5458E-02 7 150.00 1.3946E-02 8 160.00 1.3054E-02 9 170.00 1.2583E-02 10 180.00 1.2418E-02 Asymptotic AOP values are MUu(inf) = 0.3735 MUd(inf) = 0.7121 MU(inf) = 0.6291 R(inf) = 0.0435 Lu(inf)/Ed(inf) = 0.008871 (1/sr) k(inf) = 0.0593 (1/m) absorp(check) = 0.0373 = 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 4.8007E-02 3.3290E-01 3.8090E-01 1.3136E-02 1.8020E-01 0.2736 0.5413 0.4386 7.2897E-02 1 0.00 0.00 1.6455E-02 2.1718E-01 2.3363E-01 6.8362E-03 1.7389E-01 0.4154 0.8007 0.7150 3.9313E-02 3 1.69 5.00 1.4056E-02 1.6918E-01 1.8324E-01 5.4415E-03 1.2701E-01 0.3871 0.7507 0.6635 4.2842E-02 5 4.01 10.00 1.0389E-02 1.1696E-01 1.2735E-01 3.8347E-03 8.4199E-02 0.3691 0.7199 0.6311 4.5544E-02 7 7.44 15.00 6.3475E-03 6.8670E-02 7.5018E-02 2.2740E-03 4.8126E-02 0.3582 0.7008 0.6112 4.7250E-02 9 11.09 20.00 3.4608E-03 3.8066E-02 4.1527E-02 1.2400E-03 2.6446E-02 0.3583 0.6947 0.6070 4.6886E-02 11 13.39 25.00 2.0964E-03 2.4471E-02 2.6568E-02 7.7457E-04 1.7086E-02 0.3695 0.6982 0.6140 4.5333E-02 K-functions (units of 1/meter) at 485.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.03049 0.04532 0.04428 0.03771 0.05584 0.05658 0.05789 5.000 5.010 5.005 0.04411 0.05976 0.05856 0.05568 0.06973 0.07036 0.07345 10.000 10.010 10.005 0.07627 0.08764 0.08671 0.08415 0.09418 0.09466 0.09702 15.000 15.010 15.005 0.12343 0.12458 0.12448 0.12600 0.12859 0.12872 0.12260 20.000 20.010 20.005 0.11861 0.10953 0.11029 0.11562 0.10992 0.10964 0.09941 25.000 25.010 25.005 0.06550 0.06292 0.06312 0.06295 0.06056 0.06045 0.06087 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 6.43179E-02 8.16485E-04 1.26497E-03 2.08145E-03 4.53111E-03 0.019667 9 1 10.0 0.0 180.0 6.20846E-02 8.28907E-04 1.22373E-03 2.05263E-03 4.60004E-03 0.019711 9 4 10.0 45.0 135.0 6.25028E-02 8.26834E-04 1.23338E-03 2.06022E-03 4.58854E-03 0.019733 9 7 10.0 90.0 90.0 6.37598E-02 8.27926E-04 1.26135E-03 2.08928E-03 4.59460E-03 0.019783 8 1 20.0 0.0 180.0 5.98822E-02 8.42838E-04 1.19959E-03 2.04243E-03 4.67736E-03 0.020033 8 4 20.0 45.0 135.0 6.04375E-02 8.36906E-04 1.21225E-03 2.04916E-03 4.64444E-03 0.020058 8 7 20.0 90.0 90.0 6.23661E-02 8.40317E-04 1.24740E-03 2.08772E-03 4.66336E-03 0.020001 7 1 30.0 0.0 180.0 5.72293E-02 8.64886E-04 1.21443E-03 2.07931E-03 4.79971E-03 0.021220 7 4 30.0 45.0 135.0 5.78180E-02 8.67118E-04 1.22885E-03 2.09597E-03 4.81210E-03 0.021254 7 7 30.0 90.0 90.0 6.01246E-02 8.67502E-04 1.27652E-03 2.14402E-03 4.81423E-03 0.021231 6 1 40.0 0.0 180.0 5.41396E-02 8.93725E-04 1.33977E-03 2.23350E-03 4.95975E-03 0.024747 6 4 40.0 45.0 135.0 5.47054E-02 8.95683E-04 1.35172E-03 2.24741E-03 4.97062E-03 0.024709 6 7 40.0 90.0 90.0 5.71405E-02 8.97589E-04 1.41782E-03 2.31541E-03 4.98120E-03 0.024813 5 1 50.0 0.0 180.0 5.06342E-02 9.31356E-04 1.75099E-03 2.68235E-03 5.16859E-03 0.034581 5 4 50.0 45.0 135.0 5.11520E-02 9.28430E-04 1.77267E-03 2.70110E-03 5.15235E-03 0.034655 5 7 50.0 90.0 90.0 5.35397E-02 9.30370E-04 1.85812E-03 2.78849E-03 5.16312E-03 0.034705 4 1 60.0 0.0 180.0 4.67623E-02 9.46035E-04 2.90789E-03 3.85393E-03 5.25005E-03 0.062185 4 4 60.0 45.0 135.0 4.72247E-02 9.41343E-04 2.92939E-03 3.87074E-03 5.22401E-03 0.062031 4 7 60.0 90.0 90.0 4.94564E-02 9.52455E-04 3.09330E-03 4.04575E-03 5.28568E-03 0.062546 3 1 70.0 0.0 180.0 4.25989E-02 9.09784E-04 5.84948E-03 6.75927E-03 5.04888E-03 0.137315 3 4 70.0 45.0 135.0 4.30083E-02 9.13724E-04 5.92440E-03 6.83812E-03 5.07074E-03 0.137750 3 7 70.0 90.0 90.0 4.50270E-02 9.20243E-04 6.30192E-03 7.22217E-03 5.10691E-03 0.139959 2 1 80.0 0.0 180.0 3.82395E-02 8.05166E-04 1.20148E-02 1.28200E-02 4.46829E-03 0.314199 2 4 80.0 45.0 135.0 3.86028E-02 8.05597E-04 1.23850E-02 1.31906E-02 4.47069E-03 0.320832 2 7 80.0 90.0 90.0 4.03878E-02 8.06845E-04 1.31082E-02 1.39150E-02 4.47761E-03 0.324558 1 1 87.5 0.0 180.0 3.49104E-02 6.69325E-04 2.00340E-02 2.07033E-02 3.71444E-03 0.573869 1 4 87.5 45.0 135.0 3.52456E-02 6.35938E-04 2.10652E-02 2.17012E-02 3.52915E-03 0.597670 1 7 87.5 90.0 90.0 3.68557E-02 7.00421E-04 2.20245E-02 2.27249E-02 3.88701E-03 0.597587 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 2.081E-03 6.432E-02 2.781E-02 2.979E-02 4.232E-02 1.155E-02 6.311E+00 8.165E-04 4.531E-03 1 0.00 0.00 1.514E-03 1.135E-01 4.041E-03 4.208E-03 4.471E-03 8.705E-03 4.516E+00 3 1.69 5.00 1.091E-03 8.372E-02 4.142E-03 4.307E-03 4.765E-03 8.588E-03 4.989E+00 5 4.01 10.00 7.120E-04 5.610E-02 3.456E-03 3.605E-03 3.952E-03 8.456E-03 5.386E+00 7 7.44 15.00 4.084E-04 3.200E-02 2.284E-03 2.375E-03 2.544E-03 8.486E-03 5.568E+00 9 11.09 20.00 2.336E-04 1.746E-02 1.292E-03 1.333E-03 1.397E-03 8.833E-03 5.308E+00 11 13.39 25.00 1.562E-04 1.135E-02 7.701E-04 7.892E-04 8.165E-04 9.143E-03 4.958E+00 Waveband 9 of 30 completed in 4.7 sec. * * * * * Output for wavelength band 10 (490.0 to 500.0 nm; nominal wavelength = 495.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 103.6 m at 495.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 490.0 nm to 500.0 nm: Ed(diffuse) = 3.294E-01 Ed(direct) = 4.055E-01 Ed(total) = 7.349E-01 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 1.837E-01 Ed(direct) = 0.000E+00 Ed(total) = 1.837E-01 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 0.0204 0.0000 0.0031 0.0408 3 1.678 5.000 0.0173 0.0252 0.0000 0.0038 0.0464 5 3.985 10.000 0.0173 0.0355 0.0000 0.0054 0.0582 7 7.395 15.000 0.0173 0.0507 0.0000 0.0077 0.0757 9 11.029 20.000 0.0173 0.0409 0.0000 0.0062 0.0645 11 13.316 25.000 0.0173 0.0177 0.0000 0.0027 0.0377 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 0.1242 0.1283 0.0000 0.2555 3 1.678 5.000 0.0030 0.1493 0.1749 0.0000 0.3272 5 3.985 10.000 0.0030 0.1987 0.2853 0.0000 0.4870 7 7.395 15.000 0.0030 0.2634 0.4710 0.0000 0.7374 9 11.029 20.000 0.0030 0.2227 0.3485 0.0000 0.5743 11 13.316 25.000 0.0030 0.1096 0.1043 0.0000 0.2169 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 0.00174 0.00023 0.00000 0.00348 3 1.678 5.000 0.00151 0.00209 0.00031 0.00000 0.00391 5 3.985 10.000 0.00151 0.00279 0.00050 0.00000 0.00480 7 7.395 15.000 0.00151 0.00369 0.00083 0.00000 0.00603 9 11.029 20.000 0.00151 0.00312 0.00061 0.00000 0.00524 11 13.316 25.000 0.00151 0.00154 0.00018 0.00000 0.00323 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 0.0408 0.2555 0.2963 0.8623 0.00348 0.01360 3 1.678 5.000 0.0464 0.3272 0.3736 0.8759 0.00391 0.01195 5 3.985 10.000 0.0582 0.4870 0.5452 0.8932 0.00480 0.00985 7 7.395 15.000 0.0757 0.7374 0.8131 0.9069 0.00603 0.00818 9 11.029 20.000 0.0645 0.5743 0.6387 0.8991 0.00524 0.00913 11 13.316 25.000 0.0377 0.2169 0.2546 0.8520 0.00323 0.01489 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4711E-01 8 20.00 8.1822E-01 7 30.00 6.4728E-01 6 40.00 4.7383E-01 5 50.00 3.2567E-01 4 60.00 2.1407E-01 3 70.00 1.3746E-01 2 80.00 8.8593E-02 1 87.50 6.3901E-02 1 92.50 5.0633E-02 2 100.00 3.7897E-02 3 110.00 2.7374E-02 4 120.00 2.0909E-02 5 130.00 1.6977E-02 6 140.00 1.4579E-02 7 150.00 1.3124E-02 8 160.00 1.2268E-02 9 170.00 1.1816E-02 10 180.00 1.1659E-02 Asymptotic AOP values are MUu(inf) = 0.3712 MUd(inf) = 0.7141 MU(inf) = 0.6339 R(inf) = 0.0415 Lu(inf)/Ed(inf) = 0.008386 (1/sr) k(inf) = 0.0595 (1/m) absorp(check) = 0.0377 = 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 4.8881E-02 3.3942E-01 3.8830E-01 1.3358E-02 1.8372E-01 0.2733 0.5413 0.4388 7.2707E-02 1 0.00 0.00 1.6551E-02 2.2125E-01 2.3780E-01 6.8839E-03 1.7724E-01 0.4159 0.8011 0.7164 3.8838E-02 3 1.68 5.00 1.4408E-02 1.7284E-01 1.8724E-01 5.5876E-03 1.2984E-01 0.3878 0.7512 0.6636 4.3034E-02 5 3.98 10.00 1.0919E-02 1.2074E-01 1.3166E-01 4.0323E-03 8.6873E-02 0.3693 0.7195 0.6292 4.6416E-02 7 7.39 15.00 6.8271E-03 7.2315E-02 7.9142E-02 2.4348E-03 5.0559E-02 0.3566 0.6992 0.6081 4.8157E-02 9 11.03 20.00 3.7199E-03 4.0877E-02 4.4597E-02 1.3166E-03 2.8318E-02 0.3539 0.6928 0.6054 4.6495E-02 11 13.32 25.00 2.1897E-03 2.6438E-02 2.8628E-02 8.0100E-04 1.8435E-02 0.3658 0.6973 0.6160 4.3450E-02 K-functions (units of 1/meter) at 495.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.02773 0.04544 0.04420 0.03440 0.05571 0.05657 0.05474 5.000 5.010 5.005 0.03932 0.05864 0.05716 0.05102 0.06872 0.06952 0.06953 10.000 10.010 10.005 0.07086 0.08473 0.08358 0.07926 0.09159 0.09219 0.09358 15.000 15.010 15.005 0.12085 0.11978 0.11987 0.12486 0.12410 0.12407 0.12355 20.000 20.010 20.005 0.12225 0.10648 0.10779 0.12066 0.10680 0.10613 0.10390 25.000 25.010 25.005 0.06743 0.06404 0.06430 0.06413 0.06108 0.06095 0.06145 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 6.55771E-02 8.20143E-04 1.28973E-03 2.10988E-03 4.46402E-03 0.019667 9 1 10.0 0.0 180.0 6.33000E-02 8.32684E-04 1.24768E-03 2.08037E-03 4.53228E-03 0.019711 9 4 10.0 45.0 135.0 6.37264E-02 8.30648E-04 1.25753E-03 2.08818E-03 4.52119E-03 0.019733 9 7 10.0 90.0 90.0 6.50080E-02 8.31859E-04 1.28605E-03 2.11791E-03 4.52779E-03 0.019783 8 1 20.0 0.0 180.0 6.10545E-02 8.47022E-04 1.22307E-03 2.07010E-03 4.61032E-03 0.020033 8 4 20.0 45.0 135.0 6.16207E-02 8.41136E-04 1.23598E-03 2.07712E-03 4.57828E-03 0.020058 8 7 20.0 90.0 90.0 6.35871E-02 8.44752E-04 1.27182E-03 2.11657E-03 4.59796E-03 0.020001 7 1 30.0 0.0 180.0 5.83496E-02 8.69641E-04 1.23820E-03 2.10784E-03 4.73343E-03 0.021220 7 4 30.0 45.0 135.0 5.89499E-02 8.71991E-04 1.25291E-03 2.12490E-03 4.74622E-03 0.021254 7 7 30.0 90.0 90.0 6.13017E-02 8.72643E-04 1.30151E-03 2.17415E-03 4.74977E-03 0.021231 6 1 40.0 0.0 180.0 5.51995E-02 8.99396E-04 1.36600E-03 2.26540E-03 4.89539E-03 0.024747 6 4 40.0 45.0 135.0 5.57763E-02 9.01511E-04 1.37819E-03 2.27970E-03 4.90690E-03 0.024709 6 7 40.0 90.0 90.0 5.82591E-02 9.03793E-04 1.44557E-03 2.34937E-03 4.91932E-03 0.024813 5 1 50.0 0.0 180.0 5.16255E-02 9.37863E-04 1.78527E-03 2.72314E-03 5.10476E-03 0.034581 5 4 50.0 45.0 135.0 5.21534E-02 9.35090E-04 1.80737E-03 2.74246E-03 5.08967E-03 0.034655 5 7 50.0 90.0 90.0 5.45879E-02 9.37484E-04 1.89449E-03 2.83198E-03 5.10270E-03 0.034705 4 1 60.0 0.0 180.0 4.76777E-02 9.53141E-04 2.96482E-03 3.91796E-03 5.18792E-03 0.062185 4 4 60.0 45.0 135.0 4.81492E-02 9.48609E-04 2.98674E-03 3.93535E-03 5.16326E-03 0.062031 4 7 60.0 90.0 90.0 5.04246E-02 9.60310E-04 3.15385E-03 4.11416E-03 5.22694E-03 0.062546 3 1 70.0 0.0 180.0 4.34329E-02 9.16851E-04 5.96400E-03 6.88085E-03 4.99040E-03 0.137315 3 4 70.0 45.0 135.0 4.38502E-02 9.21024E-04 6.04038E-03 6.96140E-03 5.01311E-03 0.137750 3 7 70.0 90.0 90.0 4.59085E-02 9.28125E-04 6.42530E-03 7.35342E-03 5.05176E-03 0.139959 2 1 80.0 0.0 180.0 3.89881E-02 8.11470E-04 1.22500E-02 1.30615E-02 4.41681E-03 0.314199 2 4 80.0 45.0 135.0 3.93585E-02 8.12093E-04 1.26275E-02 1.34396E-02 4.42020E-03 0.320832 2 7 80.0 90.0 90.0 4.11784E-02 8.13843E-04 1.33648E-02 1.41786E-02 4.42973E-03 0.324558 1 1 87.5 0.0 180.0 3.55939E-02 6.74425E-04 2.04262E-02 2.11006E-02 3.67088E-03 0.573869 1 4 87.5 45.0 135.0 3.59356E-02 6.40938E-04 2.14776E-02 2.21185E-02 3.48861E-03 0.597670 1 7 87.5 90.0 90.0 3.75772E-02 7.06366E-04 2.24556E-02 2.31620E-02 3.84473E-03 0.597587 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 2.110E-03 6.558E-02 2.835E-02 3.037E-02 4.314E-02 1.148E-02 6.331E+00 8.201E-04 4.464E-03 1 0.00 0.00 1.520E-03 1.157E-01 4.054E-03 4.226E-03 4.497E-03 8.578E-03 4.528E+00 3 1.68 5.00 1.115E-03 8.560E-02 4.211E-03 4.382E-03 4.853E-03 8.588E-03 5.011E+00 5 3.98 10.00 7.416E-04 5.781E-02 3.606E-03 3.763E-03 4.129E-03 8.536E-03 5.438E+00 7 7.39 15.00 4.290E-04 3.347E-02 2.457E-03 2.557E-03 2.741E-03 8.484E-03 5.676E+00 9 11.03 20.00 2.419E-04 1.857E-02 1.411E-03 1.457E-03 1.528E-03 8.542E-03 5.443E+00 11 13.32 25.00 1.591E-04 1.217E-02 8.233E-04 8.443E-04 8.742E-04 8.630E-03 5.034E+00 Waveband 10 of 30 completed in 4.7 sec. * * * * * Output for wavelength band 11 (500.0 to 510.0 nm; nominal wavelength = 505.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 102.8 m at 505.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 500.0 nm to 510.0 nm: Ed(diffuse) = 3.187E-01 Ed(direct) = 4.039E-01 Ed(total) = 7.226E-01 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 1.807E-01 Ed(direct) = 0.000E+00 Ed(total) = 1.807E-01 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 0.0161 0.0000 0.0027 0.0444 3 1.685 5.000 0.0256 0.0203 0.0000 0.0033 0.0492 5 3.995 10.000 0.0256 0.0293 0.0000 0.0047 0.0596 7 7.403 15.000 0.0256 0.0428 0.0000 0.0067 0.0751 9 11.034 20.000 0.0256 0.0340 0.0000 0.0054 0.0651 11 13.324 25.000 0.0256 0.0139 0.0000 0.0023 0.0418 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 0.1234 0.1275 0.0000 0.2538 3 1.685 5.000 0.0028 0.1487 0.1741 0.0000 0.3255 5 3.995 10.000 0.0028 0.1983 0.2846 0.0000 0.4856 7 7.403 15.000 0.0028 0.2634 0.4710 0.0000 0.7371 9 11.034 20.000 0.0028 0.2224 0.3481 0.0000 0.5733 11 13.324 25.000 0.0028 0.1089 0.1035 0.0000 0.2152 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 0.00173 0.00022 0.00000 0.00334 3 1.685 5.000 0.00138 0.00208 0.00031 0.00000 0.00377 5 3.995 10.000 0.00138 0.00278 0.00050 0.00000 0.00466 7 7.403 15.000 0.00138 0.00369 0.00083 0.00000 0.00591 9 11.034 20.000 0.00138 0.00312 0.00061 0.00000 0.00511 11 13.324 25.000 0.00138 0.00153 0.00018 0.00000 0.00309 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 0.0444 0.2538 0.2982 0.8510 0.00334 0.01316 3 1.685 5.000 0.0492 0.3255 0.3747 0.8686 0.00377 0.01159 5 3.995 10.000 0.0596 0.4856 0.5452 0.8908 0.00466 0.00960 7 7.403 15.000 0.0751 0.7371 0.8122 0.9075 0.00591 0.00801 9 11.034 20.000 0.0651 0.5733 0.6384 0.8981 0.00511 0.00892 11 13.324 25.000 0.0418 0.2152 0.2570 0.8373 0.00309 0.01437 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4383E-01 8 20.00 8.0782E-01 7 30.00 6.2975E-01 6 40.00 4.5230E-01 5 50.00 3.0406E-01 4 60.00 1.9517E-01 3 70.00 1.2238E-01 2 80.00 7.7142E-02 1 87.50 5.4821E-02 1 92.50 4.3044E-02 2 100.00 3.1874E-02 3 110.00 2.2784E-02 4 120.00 1.7292E-02 5 130.00 1.3998E-02 6 140.00 1.2014E-02 7 150.00 1.0821E-02 8 160.00 1.0124E-02 9 170.00 9.7585E-03 10 180.00 9.6311E-03 Asymptotic AOP values are MUu(inf) = 0.3684 MUd(inf) = 0.7237 MU(inf) = 0.6521 R(inf) = 0.0358 Lu(inf)/Ed(inf) = 0.007198 (1/sr) k(inf) = 0.0641 (1/m) absorp(check) = 0.0418 = 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 4.7635E-02 3.3375E-01 3.8138E-01 1.2917E-02 1.8066E-01 0.2712 0.5413 0.4398 7.1499E-02 1 0.00 0.00 1.4937E-02 2.1645E-01 2.3139E-01 6.2200E-03 1.7396E-01 0.4164 0.8037 0.7249 3.5757E-02 3 1.69 5.00 1.3140E-02 1.6580E-01 1.7894E-01 5.1025E-03 1.2505E-01 0.3883 0.7542 0.6703 4.0803E-02 5 3.99 10.00 1.0126E-02 1.1460E-01 1.2473E-01 3.7359E-03 8.2738E-02 0.3690 0.7220 0.6334 4.5154E-02 7 7.40 15.00 6.3955E-03 6.8798E-02 7.5194E-02 2.2594E-03 4.8167E-02 0.3533 0.7001 0.6105 4.6907E-02 9 11.03 20.00 3.3698E-03 3.8948E-02 4.2317E-02 1.1674E-03 2.7016E-02 0.3464 0.6937 0.6108 4.3212E-02 11 13.32 25.00 1.8265E-03 2.4763E-02 2.6589E-02 6.5829E-04 1.7349E-02 0.3604 0.7006 0.6277 3.7943E-02 K-functions (units of 1/meter) at 505.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.02588 0.04957 0.04804 0.03266 0.05993 0.06094 0.05378 5.000 5.010 5.005 0.03594 0.06207 0.06015 0.04794 0.07203 0.07305 0.06792 10.000 10.010 10.005 0.06701 0.08575 0.08423 0.07636 0.09287 0.09365 0.09343 15.000 15.010 15.005 0.12318 0.11819 0.11862 0.12943 0.12291 0.12259 0.13125 20.000 20.010 20.005 0.13500 0.10734 0.10955 0.13552 0.10743 0.10616 0.11708 25.000 25.010 25.005 0.07594 0.07071 0.07107 0.07097 0.06653 0.06636 0.06692 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 6.44823E-02 7.44114E-04 1.26820E-03 2.01232E-03 4.11895E-03 0.019667 9 1 10.0 0.0 180.0 6.22433E-02 7.55399E-04 1.22686E-03 1.98225E-03 4.18142E-03 0.019711 9 4 10.0 45.0 135.0 6.26625E-02 7.53564E-04 1.23654E-03 1.99010E-03 4.17126E-03 0.019733 9 7 10.0 90.0 90.0 6.39227E-02 7.54695E-04 1.26458E-03 2.01927E-03 4.17752E-03 0.019783 8 1 20.0 0.0 180.0 6.00352E-02 7.68262E-04 1.20266E-03 1.97092E-03 4.25262E-03 0.020033 8 4 20.0 45.0 135.0 6.05920E-02 7.62944E-04 1.21535E-03 1.97829E-03 4.22318E-03 0.020058 8 7 20.0 90.0 90.0 6.25255E-02 7.66277E-04 1.25059E-03 2.01686E-03 4.24164E-03 0.020001 7 1 30.0 0.0 180.0 5.73755E-02 7.88576E-04 1.21753E-03 2.00611E-03 4.36507E-03 0.021220 7 4 30.0 45.0 135.0 5.79658E-02 7.90736E-04 1.23199E-03 2.02273E-03 4.37702E-03 0.021254 7 7 30.0 90.0 90.0 6.02783E-02 7.91403E-04 1.27978E-03 2.07118E-03 4.38072E-03 0.021231 6 1 40.0 0.0 180.0 5.42780E-02 8.15153E-04 1.34320E-03 2.15835E-03 4.51218E-03 0.024747 6 4 40.0 45.0 135.0 5.48452E-02 8.17107E-04 1.35518E-03 2.17229E-03 4.52300E-03 0.024709 6 7 40.0 90.0 90.0 5.72865E-02 8.19279E-04 1.42144E-03 2.24072E-03 4.53502E-03 0.024813 5 1 50.0 0.0 180.0 5.07636E-02 8.49465E-04 1.75547E-03 2.60493E-03 4.70211E-03 0.034581 5 4 50.0 45.0 135.0 5.12827E-02 8.46998E-04 1.77720E-03 2.62420E-03 4.68846E-03 0.034655 5 7 50.0 90.0 90.0 5.36766E-02 8.49296E-04 1.86287E-03 2.71216E-03 4.70118E-03 0.034705 4 1 60.0 0.0 180.0 4.68818E-02 8.62677E-04 2.91533E-03 3.77800E-03 4.77525E-03 0.062185 4 4 60.0 45.0 135.0 4.73454E-02 8.58629E-04 2.93688E-03 3.79551E-03 4.75284E-03 0.062031 4 7 60.0 90.0 90.0 4.95828E-02 8.69376E-04 3.10120E-03 3.97058E-03 4.81233E-03 0.062546 3 1 70.0 0.0 180.0 4.27078E-02 8.29016E-04 5.86443E-03 6.69345E-03 4.58892E-03 0.137315 3 4 70.0 45.0 135.0 4.31182E-02 8.32848E-04 5.93954E-03 6.77239E-03 4.61013E-03 0.137750 3 7 70.0 90.0 90.0 4.51421E-02 8.39437E-04 6.31803E-03 7.15747E-03 4.64661E-03 0.139959 2 1 80.0 0.0 180.0 3.83372E-02 7.33050E-04 1.20455E-02 1.27786E-02 4.05771E-03 0.314199 2 4 80.0 45.0 135.0 3.87015E-02 7.33663E-04 1.24167E-02 1.31503E-02 4.06111E-03 0.320832 2 7 80.0 90.0 90.0 4.04910E-02 7.35425E-04 1.31417E-02 1.38771E-02 4.07086E-03 0.324558 1 1 87.5 0.0 180.0 3.49997E-02 6.08669E-04 2.00852E-02 2.06939E-02 3.36921E-03 0.573869 1 4 87.5 45.0 135.0 3.53356E-02 5.78501E-04 2.11191E-02 2.16976E-02 3.20222E-03 0.597670 1 7 87.5 90.0 90.0 3.69499E-02 6.37719E-04 2.20808E-02 2.27185E-02 3.53002E-03 0.597587 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 2.012E-03 6.448E-02 2.785E-02 2.983E-02 4.239E-02 1.114E-02 6.419E+00 7.441E-04 4.119E-03 1 0.00 0.00 1.379E-03 1.138E-01 3.661E-03 3.820E-03 4.077E-03 7.930E-03 4.509E+00 3 1.69 5.00 1.018E-03 8.290E-02 3.834E-03 3.993E-03 4.431E-03 8.140E-03 5.013E+00 5 3.99 10.00 6.804E-04 5.544E-02 3.337E-03 3.484E-03 3.827E-03 8.224E-03 5.491E+00 7 7.40 15.00 3.876E-04 3.204E-02 2.326E-03 2.421E-03 2.597E-03 8.047E-03 5.829E+00 9 11.03 20.00 2.073E-04 1.777E-02 1.324E-03 1.367E-03 1.435E-03 7.673E-03 5.632E+00 11 13.32 25.00 1.292E-04 1.154E-02 7.177E-04 7.364E-04 7.631E-04 7.445E-03 5.096E+00 Waveband 11 of 30 completed in 4.8 sec. * * * * * Output for wavelength band 12 (510.0 to 520.0 nm; nominal wavelength = 515.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 100.8 m at 515.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 510.0 nm to 520.0 nm: Ed(diffuse) = 3.033E-01 Ed(direct) = 3.946E-01 Ed(total) = 6.979E-01 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 1.745E-01 Ed(direct) = 0.000E+00 Ed(total) = 1.745E-01 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 0.0125 0.0000 0.0023 0.0545 3 1.725 5.000 0.0396 0.0160 0.0000 0.0029 0.0585 5 4.070 10.000 0.0396 0.0238 0.0000 0.0041 0.0674 7 7.509 15.000 0.0396 0.0357 0.0000 0.0058 0.0812 9 11.171 20.000 0.0396 0.0280 0.0000 0.0047 0.0723 11 13.497 25.000 0.0396 0.0107 0.0000 0.0020 0.0523 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 0.1227 0.1268 0.0000 0.2521 3 1.725 5.000 0.0025 0.1480 0.1733 0.0000 0.3239 5 4.070 10.000 0.0025 0.1978 0.2840 0.0000 0.4844 7 7.509 15.000 0.0025 0.2634 0.4710 0.0000 0.7369 9 11.171 20.000 0.0025 0.2222 0.3477 0.0000 0.5724 11 13.497 25.000 0.0025 0.1081 0.1028 0.0000 0.2135 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 0.00172 0.00022 0.00000 0.00322 3 1.725 5.000 0.00127 0.00207 0.00031 0.00000 0.00365 5 4.070 10.000 0.00127 0.00277 0.00050 0.00000 0.00454 7 7.509 15.000 0.00127 0.00369 0.00083 0.00000 0.00579 9 11.171 20.000 0.00127 0.00311 0.00061 0.00000 0.00500 11 13.497 25.000 0.00127 0.00152 0.00018 0.00000 0.00297 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 0.0545 0.2521 0.3065 0.8223 0.00322 0.01276 3 1.725 5.000 0.0585 0.3239 0.3824 0.8469 0.00365 0.01127 5 4.070 10.000 0.0674 0.4844 0.5518 0.8778 0.00454 0.00938 7 7.509 15.000 0.0812 0.7369 0.8181 0.9008 0.00579 0.00786 9 11.171 20.000 0.0723 0.5724 0.6446 0.8879 0.00500 0.00873 11 13.497 25.000 0.0523 0.2135 0.2658 0.8033 0.00297 0.01390 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3629E-01 8 20.00 7.8438E-01 7 30.00 5.9134E-01 6 40.00 4.0685E-01 5 50.00 2.6040E-01 4 60.00 1.5876E-01 3 70.00 9.4708E-02 2 80.00 5.7114E-02 1 87.50 3.9472E-02 1 92.50 3.0516E-02 2 100.00 2.2219E-02 3 110.00 1.5658E-02 4 120.00 1.1818E-02 5 130.00 9.5747E-03 6 140.00 8.2519E-03 7 150.00 7.4708E-03 8 160.00 7.0208E-03 9 170.00 6.7873E-03 10 180.00 6.7059E-03 Asymptotic AOP values are MUu(inf) = 0.3660 MUd(inf) = 0.7436 MU(inf) = 0.6864 R(inf) = 0.0268 Lu(inf)/Ed(inf) = 0.005446 (1/sr) k(inf) = 0.0762 (1/m) absorp(check) = 0.0523 = 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 4.5079E-02 3.2233E-01 3.6741E-01 1.2006E-02 1.7447E-01 0.2663 0.5413 0.4422 6.8813E-02 1 0.00 0.00 1.1685E-02 2.0679E-01 2.1847E-01 4.8535E-03 1.6732E-01 0.4154 0.8091 0.7436 2.9008E-02 3 1.72 5.00 1.0113E-02 1.4904E-01 1.5916E-01 3.9151E-03 1.1344E-01 0.3871 0.7611 0.6881 3.4513E-02 5 4.07 10.00 7.7082E-03 9.7632E-02 1.0534E-01 2.8311E-03 7.1237E-02 0.3673 0.7297 0.6494 3.9742E-02 7 7.51 15.00 4.7675E-03 5.6310E-02 6.1078E-02 1.6598E-03 3.9797E-02 0.3481 0.7067 0.6244 4.1706E-02 9 11.17 20.00 2.3100E-03 3.0593E-02 3.2903E-02 7.7873E-04 2.1439E-02 0.3371 0.7008 0.6279 3.6323E-02 11 13.50 25.00 1.0743E-03 1.8319E-02 1.9394E-02 3.8124E-04 1.3034E-02 0.3549 0.7115 0.6524 2.9251E-02 K-functions (units of 1/meter) at 515.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.02763 0.06077 0.05900 0.03588 0.07182 0.07289 0.05839 5.000 5.010 5.005 0.03778 0.07408 0.07177 0.05000 0.08344 0.08463 0.07171 10.000 10.010 10.005 0.06832 0.09537 0.09339 0.07870 0.10241 0.10340 0.09926 15.000 15.010 15.005 0.13451 0.12499 0.12573 0.14315 0.13006 0.12949 0.14816 20.000 20.010 20.005 0.15976 0.11674 0.11976 0.16269 0.11639 0.11464 0.14177 25.000 25.010 25.005 0.09408 0.08588 0.08633 0.08637 0.08000 0.07981 0.08005 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 6.22753E-02 5.86994E-04 1.22480E-03 1.81179E-03 3.36439E-03 0.019667 9 1 10.0 0.0 180.0 6.01129E-02 5.95612E-04 1.18487E-03 1.78048E-03 3.41378E-03 0.019711 9 4 10.0 45.0 135.0 6.05178E-02 5.94129E-04 1.19421E-03 1.78834E-03 3.40528E-03 0.019733 9 7 10.0 90.0 90.0 6.17349E-02 5.94935E-04 1.22130E-03 1.81623E-03 3.40990E-03 0.019783 8 1 20.0 0.0 180.0 5.79805E-02 6.05003E-04 1.16149E-03 1.76650E-03 3.46761E-03 0.020033 8 4 20.0 45.0 135.0 5.85182E-02 6.00757E-04 1.17375E-03 1.77451E-03 3.44327E-03 0.020058 8 7 20.0 90.0 90.0 6.03855E-02 6.03243E-04 1.20778E-03 1.81103E-03 3.45752E-03 0.020001 7 1 30.0 0.0 180.0 5.54118E-02 6.19991E-04 1.17586E-03 1.79585E-03 3.55351E-03 0.021220 7 4 30.0 45.0 135.0 5.59819E-02 6.21608E-04 1.18983E-03 1.81143E-03 3.56278E-03 0.021254 7 7 30.0 90.0 90.0 5.82152E-02 6.21939E-04 1.23598E-03 1.85792E-03 3.56468E-03 0.021231 6 1 40.0 0.0 180.0 5.24202E-02 6.39142E-04 1.29722E-03 1.93637E-03 3.66327E-03 0.024747 6 4 40.0 45.0 135.0 5.29680E-02 6.40561E-04 1.30880E-03 1.94936E-03 3.67141E-03 0.024709 6 7 40.0 90.0 90.0 5.53258E-02 6.42006E-04 1.37279E-03 2.01480E-03 3.67969E-03 0.024813 5 1 50.0 0.0 180.0 4.90262E-02 6.64350E-04 1.69539E-03 2.35974E-03 3.80776E-03 0.034581 5 4 50.0 45.0 135.0 4.95275E-02 6.62287E-04 1.71637E-03 2.37866E-03 3.79593E-03 0.034655 5 7 50.0 90.0 90.0 5.18394E-02 6.63785E-04 1.79911E-03 2.46289E-03 3.80452E-03 0.034705 4 1 60.0 0.0 180.0 4.52772E-02 6.73048E-04 2.81555E-03 3.48859E-03 3.85761E-03 0.062185 4 4 60.0 45.0 135.0 4.57250E-02 6.69747E-04 2.83636E-03 3.50611E-03 3.83869E-03 0.062031 4 7 60.0 90.0 90.0 4.78857E-02 6.77811E-04 2.99506E-03 3.67287E-03 3.88491E-03 0.062546 3 1 70.0 0.0 180.0 4.12461E-02 6.45319E-04 5.66371E-03 6.30903E-03 3.69868E-03 0.137315 3 4 70.0 45.0 135.0 4.16424E-02 6.48166E-04 5.73625E-03 6.38442E-03 3.71500E-03 0.137750 3 7 70.0 90.0 90.0 4.35970E-02 6.52978E-04 6.10179E-03 6.75477E-03 3.74258E-03 0.139959 2 1 80.0 0.0 180.0 3.70251E-02 5.69646E-04 1.16332E-02 1.22029E-02 3.26496E-03 0.314199 2 4 80.0 45.0 135.0 3.73769E-02 5.69992E-04 1.19917E-02 1.25617E-02 3.26694E-03 0.320832 2 7 80.0 90.0 90.0 3.91052E-02 5.71116E-04 1.26919E-02 1.32630E-02 3.27338E-03 0.324558 1 1 87.5 0.0 180.0 3.38017E-02 4.72483E-04 1.93978E-02 1.98702E-02 2.70806E-03 0.573869 1 4 87.5 45.0 135.0 3.41262E-02 4.48980E-04 2.03962E-02 2.08452E-02 2.57335E-03 0.597670 1 7 87.5 90.0 90.0 3.56852E-02 4.94743E-04 2.13250E-02 2.18198E-02 2.83565E-03 0.597587 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 515.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.812E-03 6.228E-02 2.684E-02 2.875E-02 4.088E-02 1.038E-02 6.627E+00 5.870E-04 3.364E-03 1 0.00 0.00 1.088E-03 1.099E-01 2.899E-03 3.028E-03 3.250E-03 6.505E-03 4.460E+00 3 1.72 5.00 7.859E-04 7.629E-02 3.009E-03 3.136E-03 3.492E-03 6.928E-03 4.982E+00 5 4.07 10.00 5.131E-04 4.878E-02 2.575E-03 2.690E-03 2.959E-03 7.202E-03 5.518E+00 7 7.51 15.00 2.776E-04 2.709E-02 1.780E-03 1.853E-03 1.989E-03 6.975E-03 5.979E+00 9 11.17 20.00 1.338E-04 1.445E-02 9.561E-04 9.878E-04 1.037E-03 6.240E-03 5.821E+00 11 13.50 25.00 7.487E-05 8.952E-03 4.480E-04 4.597E-04 4.766E-04 5.745E-03 5.092E+00 Waveband 12 of 30 completed in 4.8 sec. * * * * * Output for wavelength band 13 (520.0 to 530.0 nm; nominal wavelength = 525.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 100.8 m at 525.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 520.0 nm to 530.0 nm: Ed(diffuse) = 3.059E-01 Ed(direct) = 4.078E-01 Ed(total) = 7.137E-01 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 1.784E-01 Ed(direct) = 0.000E+00 Ed(total) = 1.784E-01 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 0.0101 0.0000 0.0020 0.0539 3 1.712 5.000 0.0417 0.0132 0.0000 0.0025 0.0574 5 4.042 10.000 0.0417 0.0200 0.0000 0.0036 0.0652 7 7.463 15.000 0.0417 0.0308 0.0000 0.0051 0.0776 9 11.106 20.000 0.0417 0.0238 0.0000 0.0041 0.0695 11 13.417 25.000 0.0417 0.0085 0.0000 0.0018 0.0520 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 0.1220 0.1261 0.0000 0.2504 3 1.712 5.000 0.0023 0.1474 0.1726 0.0000 0.3223 5 4.042 10.000 0.0023 0.1974 0.2834 0.0000 0.4832 7 7.463 15.000 0.0023 0.2634 0.4710 0.0000 0.7367 9 11.106 20.000 0.0023 0.2219 0.3473 0.0000 0.5715 11 13.417 25.000 0.0023 0.1074 0.1022 0.0000 0.2119 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 0.00171 0.00022 0.00000 0.00310 3 1.712 5.000 0.00117 0.00207 0.00030 0.00000 0.00354 5 4.042 10.000 0.00117 0.00277 0.00050 0.00000 0.00444 7 7.463 15.000 0.00117 0.00369 0.00083 0.00000 0.00569 9 11.106 20.000 0.00117 0.00311 0.00061 0.00000 0.00489 11 13.417 25.000 0.00117 0.00151 0.00018 0.00000 0.00286 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 0.0539 0.2504 0.3043 0.8229 0.00310 0.01239 3 1.712 5.000 0.0574 0.3223 0.3796 0.8489 0.00354 0.01098 5 4.042 10.000 0.0652 0.4832 0.5484 0.8810 0.00444 0.00918 7 7.463 15.000 0.0776 0.7367 0.8143 0.9047 0.00569 0.00773 9 11.106 20.000 0.0695 0.5715 0.6410 0.8915 0.00489 0.00856 11 13.417 25.000 0.0520 0.2119 0.2639 0.8030 0.00286 0.01348 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3624E-01 8 20.00 7.8421E-01 7 30.00 5.9102E-01 6 40.00 4.0641E-01 5 50.00 2.5991E-01 4 60.00 1.5826E-01 3 70.00 9.4241E-02 2 80.00 5.6693E-02 1 87.50 3.9088E-02 1 92.50 3.0156E-02 2 100.00 2.1889E-02 3 110.00 1.5360E-02 4 120.00 1.1543E-02 5 130.00 9.3164E-03 6 140.00 8.0048E-03 7 150.00 7.2308E-03 8 160.00 6.7851E-03 9 170.00 6.5539E-03 10 180.00 6.4733E-03 Asymptotic AOP values are MUu(inf) = 0.3641 MUd(inf) = 0.7441 MU(inf) = 0.6879 R(inf) = 0.0261 Lu(inf)/Ed(inf) = 0.005262 (1/sr) k(inf) = 0.0756 (1/m) absorp(check) = 0.0520 = 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 4.6120E-02 3.2964E-01 3.7576E-01 1.2287E-02 1.7843E-01 0.2664 0.5413 0.4422 6.8859E-02 1 0.00 0.00 1.1973E-02 2.1150E-01 2.2347E-01 4.9806E-03 1.7112E-01 0.4160 0.8091 0.7434 2.9106E-02 3 1.71 5.00 1.0563E-02 1.5343E-01 1.6400E-01 4.0991E-03 1.1677E-01 0.3881 0.7611 0.6871 3.5103E-02 5 4.04 10.00 8.2539E-03 1.0185E-01 1.1010E-01 3.0358E-03 7.4224E-02 0.3678 0.7288 0.6466 4.0900E-02 7 7.46 15.00 5.2289E-03 6.0030E-02 6.5259E-02 1.8157E-03 4.2304E-02 0.3472 0.7047 0.6204 4.2921E-02 9 11.11 20.00 2.5507E-03 3.3321E-02 3.5872E-02 8.5246E-04 2.3272E-02 0.3342 0.6984 0.6250 3.6630E-02 11 13.42 25.00 1.1658E-03 2.0145E-02 2.1311E-02 4.1042E-04 1.4300E-02 0.3521 0.7099 0.6518 2.8700E-02 K-functions (units of 1/meter) at 525.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.02468 0.06013 0.05823 0.03246 0.07093 0.07208 0.05498 5.000 5.010 5.005 0.03306 0.07228 0.06976 0.04535 0.08176 0.08308 0.06766 10.000 10.010 10.005 0.06298 0.09200 0.08982 0.07381 0.09933 0.10042 0.09556 15.000 15.010 15.005 0.13113 0.11990 0.12080 0.14087 0.12526 0.12456 0.14753 20.000 20.010 20.005 0.16110 0.11321 0.11662 0.16527 0.11282 0.11083 0.14426 25.000 25.010 25.005 0.09499 0.08594 0.08643 0.08666 0.07965 0.07944 0.07979 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 6.36882E-02 6.01246E-04 1.25258E-03 1.85383E-03 3.36963E-03 0.019667 9 1 10.0 0.0 180.0 6.14768E-02 6.10115E-04 1.21175E-03 1.82186E-03 3.41933E-03 0.019711 9 4 10.0 45.0 135.0 6.18908E-02 6.08630E-04 1.22131E-03 1.82994E-03 3.41101E-03 0.019733 9 7 10.0 90.0 90.0 6.31355E-02 6.09537E-04 1.24901E-03 1.85854E-03 3.41609E-03 0.019783 8 1 20.0 0.0 180.0 5.92959E-02 6.19974E-04 1.18785E-03 1.80782E-03 3.47458E-03 0.020033 8 4 20.0 45.0 135.0 5.98458E-02 6.15677E-04 1.20038E-03 1.81606E-03 3.45050E-03 0.020058 8 7 20.0 90.0 90.0 6.17555E-02 6.18359E-04 1.23519E-03 1.85354E-03 3.46553E-03 0.020001 7 1 30.0 0.0 180.0 5.66690E-02 6.35654E-04 1.20254E-03 1.83819E-03 3.56246E-03 0.021220 7 4 30.0 45.0 135.0 5.72520E-02 6.37387E-04 1.21682E-03 1.85421E-03 3.57217E-03 0.021254 7 7 30.0 90.0 90.0 5.95360E-02 6.37914E-04 1.26402E-03 1.90193E-03 3.57513E-03 0.021231 6 1 40.0 0.0 180.0 5.36095E-02 6.55809E-04 1.32665E-03 1.98246E-03 3.67542E-03 0.024747 6 4 40.0 45.0 135.0 5.41698E-02 6.57368E-04 1.33849E-03 1.99586E-03 3.68416E-03 0.024709 6 7 40.0 90.0 90.0 5.65810E-02 6.59104E-04 1.40394E-03 2.06304E-03 3.69388E-03 0.024813 5 1 50.0 0.0 180.0 5.01385E-02 6.82071E-04 1.73385E-03 2.41592E-03 3.82260E-03 0.034581 5 4 50.0 45.0 135.0 5.06512E-02 6.80075E-04 1.75531E-03 2.43539E-03 3.81141E-03 0.034655 5 7 50.0 90.0 90.0 5.30155E-02 6.81915E-04 1.83992E-03 2.52184E-03 3.82173E-03 0.034705 4 1 60.0 0.0 180.0 4.63045E-02 6.91319E-04 2.87942E-03 3.57074E-03 3.87443E-03 0.062185 4 4 60.0 45.0 135.0 4.67624E-02 6.88065E-04 2.90071E-03 3.58878E-03 3.85619E-03 0.062031 4 7 60.0 90.0 90.0 4.89722E-02 6.96691E-04 3.06301E-03 3.75970E-03 3.90454E-03 0.062546 3 1 70.0 0.0 180.0 4.21818E-02 6.62953E-04 5.79221E-03 6.45516E-03 3.71545E-03 0.137315 3 4 70.0 45.0 135.0 4.25872E-02 6.66017E-04 5.86640E-03 6.53241E-03 3.73262E-03 0.137750 3 7 70.0 90.0 90.0 4.45862E-02 6.71314E-04 6.24022E-03 6.91154E-03 3.76231E-03 0.139959 2 1 80.0 0.0 180.0 3.78651E-02 5.85202E-04 1.18972E-02 1.24824E-02 3.27971E-03 0.314199 2 4 80.0 45.0 135.0 3.82249E-02 5.85685E-04 1.22637E-02 1.28494E-02 3.28241E-03 0.320832 2 7 80.0 90.0 90.0 3.99924E-02 5.87163E-04 1.29798E-02 1.35670E-02 3.29070E-03 0.324558 1 1 87.5 0.0 180.0 3.45686E-02 4.85243E-04 1.98379E-02 2.03231E-02 2.71949E-03 0.573869 1 4 87.5 45.0 135.0 3.49005E-02 4.61208E-04 2.08590E-02 2.13202E-02 2.58479E-03 0.597670 1 7 87.5 90.0 90.0 3.64948E-02 5.08500E-04 2.18088E-02 2.23173E-02 2.84984E-03 0.597587 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 525.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.854E-03 6.369E-02 2.745E-02 2.941E-02 4.181E-02 1.039E-02 6.628E+00 6.012E-04 3.370E-03 1 0.00 0.00 1.115E-03 1.124E-01 2.961E-03 3.096E-03 3.325E-03 6.514E-03 4.468E+00 3 1.71 5.00 8.201E-04 7.847E-02 3.112E-03 3.245E-03 3.616E-03 7.023E-03 4.999E+00 5 4.04 10.00 5.460E-04 5.069E-02 2.733E-03 2.856E-03 3.143E-03 7.357E-03 5.560E+00 7 7.46 15.00 2.991E-04 2.863E-02 1.948E-03 2.029E-03 2.178E-03 7.071E-03 6.070E+00 9 11.11 20.00 1.435E-04 1.556E-02 1.065E-03 1.101E-03 1.157E-03 6.165E-03 5.941E+00 11 13.42 25.00 7.954E-05 9.747E-03 4.941E-04 5.073E-04 5.263E-04 5.562E-03 5.160E+00 Waveband 13 of 30 completed in 4.8 sec. * * * * * Output for wavelength band 14 (530.0 to 540.0 nm; nominal wavelength = 535.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 100.8 m at 535.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 530.0 nm to 540.0 nm: Ed(diffuse) = 3.054E-01 Ed(direct) = 4.161E-01 Ed(total) = 7.214E-01 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 1.804E-01 Ed(direct) = 0.000E+00 Ed(total) = 1.804E-01 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 0.0084 0.0000 0.0018 0.0554 3 1.711 5.000 0.0452 0.0111 0.0000 0.0022 0.0585 5 4.036 10.000 0.0452 0.0171 0.0000 0.0031 0.0654 7 7.451 15.000 0.0452 0.0269 0.0000 0.0044 0.0765 9 11.089 20.000 0.0452 0.0205 0.0000 0.0036 0.0692 11 13.396 25.000 0.0452 0.0070 0.0000 0.0015 0.0538 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 0.1213 0.1253 0.0000 0.2488 3 1.711 5.000 0.0022 0.1467 0.1718 0.0000 0.3207 5 4.036 10.000 0.0022 0.1970 0.2828 0.0000 0.4820 7 7.451 15.000 0.0022 0.2634 0.4710 0.0000 0.7365 9 11.089 20.000 0.0022 0.2216 0.3469 0.0000 0.5706 11 13.396 25.000 0.0022 0.1067 0.1015 0.0000 0.2103 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 0.00170 0.00022 0.00000 0.00300 3 1.711 5.000 0.00108 0.00206 0.00030 0.00000 0.00344 5 4.036 10.000 0.00108 0.00276 0.00050 0.00000 0.00434 7 7.451 15.000 0.00108 0.00369 0.00083 0.00000 0.00560 9 11.089 20.000 0.00108 0.00311 0.00061 0.00000 0.00480 11 13.396 25.000 0.00108 0.00150 0.00018 0.00000 0.00275 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 0.0554 0.2488 0.3042 0.8179 0.00300 0.01206 3 1.711 5.000 0.0585 0.3207 0.3792 0.8458 0.00344 0.01072 5 4.036 10.000 0.0654 0.4820 0.5474 0.8806 0.00434 0.00900 7 7.451 15.000 0.0765 0.7365 0.8130 0.9059 0.00560 0.00760 9 11.089 20.000 0.0692 0.5706 0.6399 0.8918 0.00480 0.00840 11 13.396 25.000 0.0538 0.2103 0.2641 0.7964 0.00275 0.01309 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3481E-01 8 20.00 7.7980E-01 7 30.00 5.8394E-01 6 40.00 3.9824E-01 5 50.00 2.5226E-01 4 60.00 1.5206E-01 3 70.00 8.9633E-02 2 80.00 5.3412E-02 1 87.50 3.6587E-02 1 92.50 2.8113E-02 2 100.00 2.0305E-02 3 110.00 1.4172E-02 4 120.00 1.0609E-02 5 130.00 8.5410E-03 6 140.00 7.3279E-03 7 150.00 6.6144E-03 8 160.00 6.2045E-03 9 170.00 5.9923E-03 10 180.00 5.9185E-03 Asymptotic AOP values are MUu(inf) = 0.3623 MUd(inf) = 0.7478 MU(inf) = 0.6946 R(inf) = 0.0244 Lu(inf)/Ed(inf) = 0.004886 (1/sr) k(inf) = 0.0774 (1/m) absorp(check) = 0.0538 = 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 4.6457E-02 3.3319E-01 3.7965E-01 1.2337E-02 1.8035E-01 0.2656 0.5413 0.4426 6.8406E-02 1 0.00 0.00 1.1621E-02 2.1339E-01 2.2501E-01 4.8343E-03 1.7285E-01 0.4160 0.8100 0.7467 2.7969E-02 3 1.71 5.00 1.0346E-02 1.5364E-01 1.6399E-01 4.0183E-03 1.1713E-01 0.3884 0.7623 0.6897 3.4308E-02 5 4.04 10.00 8.2018E-03 1.0178E-01 1.0998E-01 3.0168E-03 7.4268E-02 0.3678 0.7297 0.6479 4.0621E-02 7 7.45 15.00 5.2605E-03 6.0360E-02 6.5620E-02 1.8188E-03 4.2534E-02 0.3458 0.7047 0.6205 4.2762E-02 9 11.09 20.00 2.5386E-03 3.3701E-02 3.6240E-02 8.3981E-04 2.3533E-02 0.3308 0.6983 0.6262 3.5687E-02 11 13.40 25.00 1.1160E-03 2.0269E-02 2.1385E-02 3.8992E-04 1.4408E-02 0.3494 0.7108 0.6555 2.7063E-02 K-functions (units of 1/meter) at 535.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.02333 0.06185 0.05986 0.03086 0.07261 0.07381 0.05356 5.000 5.010 5.005 0.03034 0.07345 0.07073 0.04267 0.08288 0.08431 0.06560 10.000 10.010 10.005 0.05965 0.09173 0.08934 0.07092 0.09923 0.10043 0.09403 15.000 15.010 15.005 0.13099 0.11789 0.11894 0.14186 0.12352 0.12270 0.15008 20.000 20.010 20.005 0.16640 0.11277 0.11653 0.17176 0.11228 0.11008 0.15033 25.000 25.010 25.005 0.09885 0.08870 0.08923 0.08958 0.08189 0.08167 0.08191 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 6.43744E-02 5.83603E-04 1.26608E-03 1.84968E-03 3.23589E-03 0.019667 9 1 10.0 0.0 180.0 6.21391E-02 5.92190E-04 1.22480E-03 1.81699E-03 3.28349E-03 0.019711 9 4 10.0 45.0 135.0 6.25576E-02 5.90764E-04 1.23447E-03 1.82523E-03 3.27559E-03 0.019733 9 7 10.0 90.0 90.0 6.38157E-02 5.91685E-04 1.26246E-03 1.85415E-03 3.28069E-03 0.019783 8 1 20.0 0.0 180.0 5.99347E-02 6.01787E-04 1.20064E-03 1.80243E-03 3.33671E-03 0.020033 8 4 20.0 45.0 135.0 6.04905E-02 5.97643E-04 1.21331E-03 1.81096E-03 3.31373E-03 0.020058 8 7 20.0 90.0 90.0 6.24209E-02 6.00313E-04 1.24849E-03 1.84881E-03 3.32853E-03 0.020001 7 1 30.0 0.0 180.0 5.72795E-02 6.17048E-04 1.21549E-03 1.83254E-03 3.42132E-03 0.021220 7 4 30.0 45.0 135.0 5.78687E-02 6.18768E-04 1.22993E-03 1.84870E-03 3.43086E-03 0.021254 7 7 30.0 90.0 90.0 6.01774E-02 6.19373E-04 1.27764E-03 1.89701E-03 3.43422E-03 0.021231 6 1 40.0 0.0 180.0 5.41871E-02 6.36665E-04 1.34095E-03 1.97761E-03 3.53010E-03 0.024747 6 4 40.0 45.0 135.0 5.47533E-02 6.38229E-04 1.35291E-03 1.99114E-03 3.53877E-03 0.024709 6 7 40.0 90.0 90.0 5.71906E-02 6.40041E-04 1.41906E-03 2.05910E-03 3.54882E-03 0.024813 5 1 50.0 0.0 180.0 5.06786E-02 6.62150E-04 1.75253E-03 2.41468E-03 3.67140E-03 0.034581 5 4 50.0 45.0 135.0 5.11968E-02 6.60271E-04 1.77422E-03 2.43450E-03 3.66098E-03 0.034655 5 7 50.0 90.0 90.0 5.35867E-02 6.62213E-04 1.85975E-03 2.52196E-03 3.67175E-03 0.034705 4 1 60.0 0.0 180.0 4.68033E-02 6.71084E-04 2.91044E-03 3.58153E-03 3.72093E-03 0.062185 4 4 60.0 45.0 135.0 4.72662E-02 6.67992E-04 2.93196E-03 3.59995E-03 3.70379E-03 0.062031 4 7 60.0 90.0 90.0 4.94998E-02 6.76546E-04 3.09601E-03 3.77256E-03 3.75122E-03 0.062546 3 1 70.0 0.0 180.0 4.26363E-02 6.43419E-04 5.85461E-03 6.49803E-03 3.56754E-03 0.137315 3 4 70.0 45.0 135.0 4.30460E-02 6.46464E-04 5.92959E-03 6.57606E-03 3.58443E-03 0.137750 3 7 70.0 90.0 90.0 4.50665E-02 6.51795E-04 6.30745E-03 6.95925E-03 3.61399E-03 0.139959 2 1 80.0 0.0 180.0 3.82730E-02 5.67834E-04 1.20254E-02 1.25932E-02 3.14845E-03 0.314199 2 4 80.0 45.0 135.0 3.86367E-02 5.68368E-04 1.23959E-02 1.29642E-02 3.15141E-03 0.320832 2 7 80.0 90.0 90.0 4.04232E-02 5.69984E-04 1.31197E-02 1.36897E-02 3.16037E-03 0.324558 1 1 87.5 0.0 180.0 3.49410E-02 4.70715E-04 2.00516E-02 2.05223E-02 2.60996E-03 0.573869 1 4 87.5 45.0 135.0 3.52765E-02 4.47455E-04 2.10837E-02 2.15311E-02 2.48099E-03 0.597670 1 7 87.5 90.0 90.0 3.68880E-02 4.93501E-04 2.20438E-02 2.25373E-02 2.73630E-03 0.597587 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 535.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.850E-03 6.437E-02 2.773E-02 2.971E-02 4.225E-02 1.026E-02 6.670E+00 5.836E-04 3.236E-03 1 0.00 0.00 1.082E-03 1.136E-01 2.877E-03 3.010E-03 3.238E-03 6.260E-03 4.468E+00 3 1.71 5.00 8.028E-04 7.888E-02 3.043E-03 3.174E-03 3.541E-03 6.854E-03 5.005E+00 5 4.04 10.00 5.395E-04 5.085E-02 2.707E-03 2.830E-03 3.117E-03 7.264E-03 5.592E+00 7 7.45 15.00 2.954E-04 2.881E-02 1.966E-03 2.048E-03 2.200E-03 6.945E-03 6.157E+00 9 11.09 20.00 1.387E-04 1.573E-02 1.076E-03 1.112E-03 1.169E-03 5.894E-03 6.055E+00 11 13.40 25.00 7.494E-05 9.833E-03 4.826E-04 4.957E-04 5.146E-04 5.201E-03 5.203E+00 Waveband 14 of 30 completed in 4.8 sec. * * * * * Output for wavelength band 15 (540.0 to 550.0 nm; nominal wavelength = 545.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 99.8 m at 545.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 540.0 nm to 550.0 nm: Ed(diffuse) = 2.980E-01 Ed(direct) = 4.144E-01 Ed(total) = 7.125E-01 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 1.781E-01 Ed(direct) = 0.000E+00 Ed(total) = 1.781E-01 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 0.0072 0.0000 0.0015 0.0598 3 1.725 5.000 0.0511 0.0095 0.0000 0.0019 0.0625 5 4.061 10.000 0.0511 0.0149 0.0000 0.0027 0.0687 7 7.487 15.000 0.0511 0.0237 0.0000 0.0038 0.0787 9 11.135 20.000 0.0511 0.0179 0.0000 0.0031 0.0721 11 13.454 25.000 0.0511 0.0060 0.0000 0.0013 0.0584 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 0.1206 0.1247 0.0000 0.2473 3 1.725 5.000 0.0020 0.1461 0.1711 0.0000 0.3192 5 4.061 10.000 0.0020 0.1966 0.2822 0.0000 0.4808 7 7.487 15.000 0.0020 0.2634 0.4710 0.0000 0.7364 9 11.135 20.000 0.0020 0.2214 0.3465 0.0000 0.5698 11 13.454 25.000 0.0020 0.1060 0.1008 0.0000 0.2088 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 0.00169 0.00022 0.00000 0.00291 3 1.725 5.000 0.00100 0.00205 0.00030 0.00000 0.00335 5 4.061 10.000 0.00100 0.00276 0.00050 0.00000 0.00425 7 7.487 15.000 0.00100 0.00369 0.00083 0.00000 0.00552 9 11.135 20.000 0.00100 0.00310 0.00061 0.00000 0.00471 11 13.454 25.000 0.00100 0.00149 0.00018 0.00000 0.00266 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 0.0598 0.2473 0.3071 0.8052 0.00291 0.01175 3 1.725 5.000 0.0625 0.3192 0.3817 0.8362 0.00335 0.01048 5 4.061 10.000 0.0687 0.4808 0.5495 0.8750 0.00425 0.00884 7 7.487 15.000 0.0787 0.7364 0.8150 0.9035 0.00552 0.00749 9 11.135 20.000 0.0721 0.5698 0.6420 0.8876 0.00471 0.00826 11 13.454 25.000 0.0584 0.2088 0.2672 0.7815 0.00266 0.01273 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3152E-01 8 20.00 7.6980E-01 7 30.00 5.6810E-01 6 40.00 3.8029E-01 5 50.00 2.3587E-01 4 60.00 1.3911E-01 3 70.00 8.0309E-02 2 80.00 4.6982E-02 1 87.50 3.1813E-02 1 92.50 2.4290E-02 2 100.00 1.7420E-02 3 110.00 1.2081E-02 4 120.00 9.0154E-03 5 130.00 7.2535E-03 6 140.00 6.2279E-03 7 150.00 5.6285E-03 8 160.00 5.2860E-03 9 170.00 5.1093E-03 10 180.00 5.0478E-03 Asymptotic AOP values are MUu(inf) = 0.3609 MUd(inf) = 0.7557 MU(inf) = 0.7076 R(inf) = 0.0215 Lu(inf)/Ed(inf) = 0.004313 (1/sr) k(inf) = 0.0825 (1/m) absorp(check) = 0.0584 = 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 4.5514E-02 3.2905E-01 3.7457E-01 1.1997E-02 1.7811E-01 0.2636 0.5413 0.4435 6.7358E-02 1 0.00 0.00 1.0422E-02 2.0987E-01 2.2029E-01 4.3243E-03 1.7044E-01 0.4149 0.8121 0.7540 2.5372E-02 3 1.72 5.00 9.2303E-03 1.4716E-01 1.5639E-01 3.5779E-03 1.1261E-01 0.3876 0.7653 0.6972 3.1772E-02 5 4.06 10.00 7.3134E-03 9.5310E-02 1.0262E-01 2.6849E-03 6.9863E-02 0.3671 0.7330 0.6546 3.8431E-02 7 7.49 15.00 4.6753E-03 5.5684E-02 6.0359E-02 1.6065E-03 3.9389E-02 0.3436 0.7074 0.6260 4.0785E-02 9 11.13 20.00 2.1833E-03 3.0619E-02 3.2802E-02 7.1415E-04 2.1468E-02 0.3271 0.7011 0.6327 3.3266E-02 11 13.45 25.00 8.9805E-04 1.7961E-02 1.8859E-02 3.1173E-04 1.2847E-02 0.3471 0.7152 0.6647 2.4266E-02 K-functions (units of 1/meter) at 545.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.02359 0.06681 0.06476 0.03186 0.07778 0.07898 0.05496 5.000 5.010 5.005 0.03047 0.07862 0.07577 0.04273 0.08775 0.08923 0.06622 10.000 10.010 10.005 0.05907 0.09564 0.09304 0.07072 0.10312 0.10441 0.09527 15.000 15.010 15.005 0.13505 0.12015 0.12131 0.14694 0.12598 0.12509 0.15645 20.000 20.010 20.005 0.17663 0.11648 0.12049 0.18305 0.11581 0.11349 0.16090 25.000 25.010 25.005 0.10662 0.09513 0.09567 0.09602 0.08766 0.08746 0.08715 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 6.35748E-02 5.23033E-04 1.25035E-03 1.77339E-03 2.93652E-03 0.019667 9 1 10.0 0.0 180.0 6.13672E-02 5.30629E-04 1.20959E-03 1.74022E-03 2.97916E-03 0.019711 9 4 10.0 45.0 135.0 6.17806E-02 5.29346E-04 1.21913E-03 1.74848E-03 2.97196E-03 0.019733 9 7 10.0 90.0 90.0 6.30230E-02 5.30160E-04 1.24678E-03 1.77694E-03 2.97653E-03 0.019783 8 1 20.0 0.0 180.0 5.91903E-02 5.39007E-04 1.18573E-03 1.72474E-03 3.02620E-03 0.020033 8 4 20.0 45.0 135.0 5.97392E-02 5.35287E-04 1.19824E-03 1.73353E-03 3.00532E-03 0.020058 8 7 20.0 90.0 90.0 6.16455E-02 5.37661E-04 1.23299E-03 1.77065E-03 3.01865E-03 0.020001 7 1 30.0 0.0 180.0 5.65680E-02 5.52384E-04 1.20040E-03 1.75278E-03 3.10131E-03 0.021220 7 4 30.0 45.0 135.0 5.71500E-02 5.53913E-04 1.21465E-03 1.76857E-03 3.10989E-03 0.021254 7 7 30.0 90.0 90.0 5.94299E-02 5.54431E-04 1.26177E-03 1.81620E-03 3.11280E-03 0.021231 6 1 40.0 0.0 180.0 5.35140E-02 5.69456E-04 1.32429E-03 1.89375E-03 3.19715E-03 0.024747 6 4 40.0 45.0 135.0 5.40733E-02 5.70839E-04 1.33611E-03 1.90694E-03 3.20492E-03 0.024709 6 7 40.0 90.0 90.0 5.64802E-02 5.72431E-04 1.40144E-03 1.97387E-03 3.21386E-03 0.024813 5 1 50.0 0.0 180.0 5.00491E-02 5.91798E-04 1.73076E-03 2.32256E-03 3.32259E-03 0.034581 5 4 50.0 45.0 135.0 5.05609E-02 5.90102E-04 1.75219E-03 2.34229E-03 3.31307E-03 0.034655 5 7 50.0 90.0 90.0 5.29211E-02 5.91808E-04 1.83665E-03 2.42845E-03 3.32265E-03 0.034705 4 1 60.0 0.0 180.0 4.62220E-02 5.99364E-04 2.87429E-03 3.47366E-03 3.36507E-03 0.062185 4 4 60.0 45.0 135.0 4.66791E-02 5.96586E-04 2.89554E-03 3.49213E-03 3.34948E-03 0.062031 4 7 60.0 90.0 90.0 4.88849E-02 6.04202E-04 3.05755E-03 3.66176E-03 3.39224E-03 0.062546 3 1 70.0 0.0 180.0 4.21067E-02 5.74333E-04 5.78189E-03 6.35623E-03 3.22454E-03 0.137315 3 4 70.0 45.0 135.0 4.25113E-02 5.77038E-04 5.85594E-03 6.43298E-03 3.23972E-03 0.137750 3 7 70.0 90.0 90.0 4.45067E-02 5.81784E-04 6.22911E-03 6.81089E-03 3.26637E-03 0.139959 2 1 80.0 0.0 180.0 3.77976E-02 5.06689E-04 1.18760E-02 1.23827E-02 2.84476E-03 0.314199 2 4 80.0 45.0 135.0 3.81568E-02 5.07155E-04 1.22419E-02 1.27491E-02 2.84737E-03 0.320832 2 7 80.0 90.0 90.0 3.99211E-02 5.08599E-04 1.29567E-02 1.34653E-02 2.85548E-03 0.324558 1 1 87.5 0.0 180.0 3.45070E-02 4.20003E-04 1.98025E-02 2.02225E-02 2.35807E-03 0.573869 1 4 87.5 45.0 135.0 3.48383E-02 3.99246E-04 2.08218E-02 2.12211E-02 2.24153E-03 0.597670 1 7 87.5 90.0 90.0 3.64298E-02 4.40347E-04 2.17700E-02 2.22103E-02 2.47229E-03 0.597587 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 545.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.773E-03 6.357E-02 2.736E-02 2.932E-02 4.170E-02 9.957E-03 6.765E+00 5.230E-04 2.937E-03 1 0.00 0.00 9.697E-04 1.122E-01 2.600E-03 2.722E-03 2.938E-03 5.690E-03 4.459E+00 3 1.72 5.00 7.156E-04 7.630E-02 2.740E-03 2.860E-03 3.196E-03 6.354E-03 5.000E+00 5 4.06 10.00 4.787E-04 4.827E-02 2.427E-03 2.538E-03 2.797E-03 6.852E-03 5.608E+00 7 7.49 15.00 2.579E-04 2.694E-02 1.766E-03 1.840E-03 1.977E-03 6.547E-03 6.230E+00 9 11.13 20.00 1.161E-04 1.449E-02 9.446E-04 9.768E-04 1.027E-03 5.410E-03 6.149E+00 11 13.45 25.00 5.987E-05 8.885E-03 3.976E-04 4.085E-04 4.241E-04 4.660E-03 5.207E+00 Waveband 15 of 30 completed in 4.8 sec. * * * * * Output for wavelength band 16 (550.0 to 560.0 nm; nominal wavelength = 555.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 98.2 m at 555.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 550.0 nm to 560.0 nm: Ed(diffuse) = 2.927E-01 Ed(direct) = 4.148E-01 Ed(total) = 7.075E-01 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 1.769E-01 Ed(direct) = 0.000E+00 Ed(total) = 1.769E-01 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 0.0060 0.0000 0.0013 0.0670 3 1.752 5.000 0.0596 0.0080 0.0000 0.0017 0.0693 5 4.114 10.000 0.0596 0.0127 0.0000 0.0023 0.0746 7 7.562 15.000 0.0596 0.0203 0.0000 0.0033 0.0832 9 11.233 20.000 0.0596 0.0153 0.0000 0.0027 0.0776 11 13.578 25.000 0.0596 0.0050 0.0000 0.0012 0.0658 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 0.1200 0.1240 0.0000 0.2458 3 1.752 5.000 0.0018 0.1455 0.1704 0.0000 0.3177 5 4.114 10.000 0.0018 0.1962 0.2817 0.0000 0.4797 7 7.562 15.000 0.0018 0.2634 0.4710 0.0000 0.7362 9 11.233 20.000 0.0018 0.2211 0.3461 0.0000 0.5690 11 13.578 25.000 0.0018 0.1054 0.1002 0.0000 0.2074 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 0.00168 0.00022 0.00000 0.00282 3 1.752 5.000 0.00092 0.00204 0.00030 0.00000 0.00326 5 4.114 10.000 0.00092 0.00275 0.00050 0.00000 0.00417 7 7.562 15.000 0.00092 0.00369 0.00083 0.00000 0.00544 9 11.233 20.000 0.00092 0.00310 0.00061 0.00000 0.00463 11 13.578 25.000 0.00092 0.00148 0.00018 0.00000 0.00257 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 0.0670 0.2458 0.3128 0.7858 0.00282 0.01148 3 1.752 5.000 0.0693 0.3177 0.3870 0.8210 0.00326 0.01026 5 4.114 10.000 0.0746 0.4797 0.5543 0.8654 0.00417 0.00869 7 7.562 15.000 0.0832 0.7362 0.8194 0.8985 0.00544 0.00739 9 11.233 20.000 0.0776 0.5690 0.6466 0.8801 0.00463 0.00814 11 13.578 25.000 0.0658 0.2074 0.2732 0.7592 0.00257 0.01241 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.2661E-01 8 20.00 7.5504E-01 7 30.00 5.4522E-01 6 40.00 3.5509E-01 5 50.00 2.1359E-01 4 60.00 1.2210E-01 3 70.00 6.8459E-02 2 80.00 3.9068E-02 1 87.50 2.6065E-02 1 92.50 1.9753E-02 2 100.00 1.4055E-02 3 110.00 9.6868E-03 4 120.00 7.2169E-03 5 130.00 5.8145E-03 6 140.00 5.0061E-03 7 150.00 4.5375E-03 8 160.00 4.2715E-03 9 170.00 4.1349E-03 10 180.00 4.0874E-03 Asymptotic AOP values are MUu(inf) = 0.3601 MUd(inf) = 0.7667 MU(inf) = 0.7247 R(inf) = 0.0182 Lu(inf)/Ed(inf) = 0.003668 (1/sr) k(inf) = 0.0908 (1/m) absorp(check) = 0.0658 = 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 4.4728E-02 3.2676E-01 3.7148E-01 1.1675E-02 1.7687E-01 0.2610 0.5413 0.4447 6.6009E-02 1 0.00 0.00 9.0071E-03 2.0731E-01 2.1631E-01 3.7197E-03 1.6891E-01 0.4130 0.8148 0.7637 2.2022E-02 3 1.75 5.00 7.8291E-03 1.3912E-01 1.4694E-01 3.0239E-03 1.0702E-01 0.3862 0.7693 0.7077 2.8255E-02 5 4.11 10.00 6.1313E-03 8.6582E-02 9.2713E-02 2.2451E-03 6.3900E-02 0.3662 0.7380 0.6650 3.5135E-02 7 7.56 15.00 3.8697E-03 4.9059E-02 5.2929E-02 1.3204E-03 3.4928E-02 0.3412 0.7120 0.6350 3.7805E-02 9 11.23 20.00 1.7193E-03 2.6160E-02 2.7879E-02 5.5609E-04 1.8470E-02 0.3234 0.7060 0.6426 3.0107E-02 11 13.58 25.00 6.4562E-04 1.4717E-02 1.5363E-02 2.2324E-04 1.0628E-02 0.3458 0.7221 0.6773 2.1005E-02 K-functions (units of 1/meter) at 555.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.02632 0.07494 0.07292 0.03542 0.08623 0.08737 0.05890 5.000 5.010 5.005 0.03296 0.08732 0.08443 0.04499 0.09598 0.09746 0.06885 10.000 10.010 10.005 0.06028 0.10291 0.10009 0.07218 0.11023 0.11162 0.09823 15.000 15.010 15.005 0.14210 0.12531 0.12653 0.15494 0.13134 0.13041 0.16546 20.000 20.010 20.005 0.19093 0.12340 0.12756 0.19823 0.12246 0.12011 0.17508 25.000 25.010 25.005 0.11788 0.10499 0.10553 0.10550 0.09679 0.09660 0.09500 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 6.31311E-02 4.51491E-04 1.24163E-03 1.69312E-03 2.55266E-03 0.019667 9 1 10.0 0.0 180.0 6.09390E-02 4.57906E-04 1.20115E-03 1.65905E-03 2.58894E-03 0.019711 9 4 10.0 45.0 135.0 6.13494E-02 4.56782E-04 1.21062E-03 1.66741E-03 2.58258E-03 0.019733 9 7 10.0 90.0 90.0 6.25832E-02 4.57444E-04 1.23808E-03 1.69552E-03 2.58632E-03 0.019783 8 1 20.0 0.0 180.0 5.87772E-02 4.64773E-04 1.17745E-03 1.64223E-03 2.62776E-03 0.020033 8 4 20.0 45.0 135.0 5.93223E-02 4.61539E-04 1.18988E-03 1.65142E-03 2.60948E-03 0.020058 8 7 20.0 90.0 90.0 6.12153E-02 4.63519E-04 1.22438E-03 1.68790E-03 2.62067E-03 0.020001 7 1 30.0 0.0 180.0 5.61732E-02 4.75830E-04 1.19202E-03 1.66785E-03 2.69027E-03 0.021220 7 4 30.0 45.0 135.0 5.67511E-02 4.77109E-04 1.20618E-03 1.68328E-03 2.69751E-03 0.021254 7 7 30.0 90.0 90.0 5.90152E-02 4.77464E-04 1.25296E-03 1.73042E-03 2.69951E-03 0.021231 6 1 40.0 0.0 180.0 5.31406E-02 4.89738E-04 1.31505E-03 1.80479E-03 2.76891E-03 0.024747 6 4 40.0 45.0 135.0 5.36959E-02 4.90874E-04 1.32678E-03 1.81766E-03 2.77533E-03 0.024709 6 7 40.0 90.0 90.0 5.60861E-02 4.92122E-04 1.39166E-03 1.88378E-03 2.78239E-03 0.024813 5 1 50.0 0.0 180.0 4.96999E-02 5.08248E-04 1.71868E-03 2.22693E-03 2.87356E-03 0.034581 5 4 50.0 45.0 135.0 5.02081E-02 5.06729E-04 1.73996E-03 2.24669E-03 2.86497E-03 0.034655 5 7 50.0 90.0 90.0 5.25518E-02 5.08056E-04 1.82383E-03 2.33188E-03 2.87248E-03 0.034705 4 1 60.0 0.0 180.0 4.58994E-02 5.14112E-04 2.85424E-03 3.36835E-03 2.90671E-03 0.062185 4 4 60.0 45.0 135.0 4.63533E-02 5.11663E-04 2.87534E-03 3.38700E-03 2.89287E-03 0.062031 4 7 60.0 90.0 90.0 4.85438E-02 5.18050E-04 3.03622E-03 3.55427E-03 2.92898E-03 0.062546 3 1 70.0 0.0 180.0 4.18128E-02 4.92201E-04 5.74154E-03 6.23374E-03 2.78283E-03 0.137315 3 4 70.0 45.0 135.0 4.22146E-02 4.94457E-04 5.81508E-03 6.30953E-03 2.79559E-03 0.137750 3 7 70.0 90.0 90.0 4.41961E-02 4.98386E-04 6.18564E-03 6.68402E-03 2.81780E-03 0.139959 2 1 80.0 0.0 180.0 3.75338E-02 4.34022E-04 1.17931E-02 1.22271E-02 2.45390E-03 0.314199 2 4 80.0 45.0 135.0 3.78905E-02 4.34364E-04 1.21565E-02 1.25908E-02 2.45584E-03 0.320832 2 7 80.0 90.0 90.0 3.96425E-02 4.35494E-04 1.28663E-02 1.33018E-02 2.46222E-03 0.324558 1 1 87.5 0.0 180.0 3.42662E-02 3.59797E-04 1.96643E-02 2.00241E-02 2.03424E-03 0.573869 1 4 87.5 45.0 135.0 3.45952E-02 3.41977E-04 2.06765E-02 2.10185E-02 1.93349E-03 0.597670 1 7 87.5 90.0 90.0 3.61756E-02 3.77106E-04 2.16181E-02 2.19952E-02 2.13211E-03 0.597587 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 555.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.693E-03 6.313E-02 2.715E-02 2.909E-02 4.138E-02 9.573E-03 6.896E+00 4.515E-04 2.553E-03 1 0.00 0.00 8.371E-04 1.114E-01 2.276E-03 2.387E-03 2.587E-03 4.956E-03 4.443E+00 3 1.75 5.00 6.072E-04 7.319E-02 2.365E-03 2.470E-03 2.765E-03 5.674E-03 4.980E+00 5 4.11 10.00 4.006E-04 4.481E-02 2.056E-03 2.150E-03 2.372E-03 6.269E-03 5.604E+00 7 7.56 15.00 2.102E-04 2.428E-02 1.483E-03 1.545E-03 1.661E-03 6.018E-03 6.282E+00 9 11.23 20.00 8.945E-05 1.269E-02 7.618E-04 7.878E-04 8.283E-04 4.843E-03 6.217E+00 11 13.58 25.00 4.320E-05 7.517E-03 2.926E-04 3.006E-04 3.121E-04 4.065E-03 5.168E+00 Waveband 16 of 30 completed in 4.8 sec. * * * * * Output for wavelength band 17 (560.0 to 570.0 nm; nominal wavelength = 565.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 97.6 m at 565.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 560.0 nm to 570.0 nm: Ed(diffuse) = 2.864E-01 Ed(direct) = 4.129E-01 Ed(total) = 6.993E-01 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 1.748E-01 Ed(direct) = 0.000E+00 Ed(total) = 1.748E-01 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 0.0053 0.0000 0.0012 0.0706 3 1.762 5.000 0.0642 0.0070 0.0000 0.0014 0.0726 5 4.132 10.000 0.0642 0.0110 0.0000 0.0020 0.0772 7 7.588 15.000 0.0642 0.0175 0.0000 0.0029 0.0846 9 11.266 20.000 0.0642 0.0132 0.0000 0.0023 0.0797 11 13.619 25.000 0.0642 0.0044 0.0000 0.0010 0.0696 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 0.1193 0.1233 0.0000 0.2444 3 1.762 5.000 0.0017 0.1449 0.1697 0.0000 0.3163 5 4.132 10.000 0.0017 0.1958 0.2811 0.0000 0.4786 7 7.588 15.000 0.0017 0.2634 0.4710 0.0000 0.7361 9 11.266 20.000 0.0017 0.2209 0.3457 0.0000 0.5683 11 13.619 25.000 0.0017 0.1047 0.0996 0.0000 0.2060 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 0.00167 0.00022 0.00000 0.00274 3 1.762 5.000 0.00085 0.00203 0.00030 0.00000 0.00318 5 4.132 10.000 0.00085 0.00275 0.00049 0.00000 0.00409 7 7.588 15.000 0.00085 0.00369 0.00083 0.00000 0.00537 9 11.266 20.000 0.00085 0.00310 0.00061 0.00000 0.00456 11 13.619 25.000 0.00085 0.00147 0.00018 0.00000 0.00250 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 0.0706 0.2444 0.3150 0.7758 0.00274 0.01122 3 1.762 5.000 0.0726 0.3163 0.3889 0.8133 0.00318 0.01006 5 4.132 10.000 0.0772 0.4786 0.5558 0.8611 0.00409 0.00855 7 7.588 15.000 0.0846 0.7361 0.8207 0.8969 0.00537 0.00730 9 11.266 20.000 0.0797 0.5683 0.6480 0.8769 0.00456 0.00802 11 13.619 25.000 0.0696 0.2060 0.2755 0.7475 0.00250 0.01211 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.2402E-01 8 20.00 7.4735E-01 7 30.00 5.3351E-01 6 40.00 3.4248E-01 5 50.00 2.0271E-01 4 60.00 1.1400E-01 3 70.00 6.2953E-02 2 80.00 3.5459E-02 1 87.50 2.3468E-02 1 92.50 1.7711E-02 2 100.00 1.2543E-02 3 110.00 8.6073E-03 4 120.00 6.3991E-03 5 130.00 5.1526E-03 6 140.00 4.4376E-03 7 150.00 4.0248E-03 8 160.00 3.7911E-03 9 170.00 3.6714E-03 10 180.00 3.6298E-03 Asymptotic AOP values are MUu(inf) = 0.3591 MUd(inf) = 0.7722 MU(inf) = 0.7334 R(inf) = 0.0165 Lu(inf)/Ed(inf) = 0.003341 (1/sr) k(inf) = 0.0949 (1/m) absorp(check) = 0.0696 = 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 4.3990E-02 3.2298E-01 3.6697E-01 1.1427E-02 1.7483E-01 0.2598 0.5413 0.4453 6.5364E-02 1 0.00 0.00 8.2721E-03 2.0440E-01 2.1267E-01 3.4069E-03 1.6680E-01 0.4119 0.8161 0.7683 2.0425E-02 3 1.76 5.00 7.1510E-03 1.3422E-01 1.4137E-01 2.7577E-03 1.0354E-01 0.3856 0.7714 0.7129 2.6635E-02 5 4.13 10.00 5.6037E-03 8.2053E-02 8.7657E-02 2.0500E-03 6.0757E-02 0.3658 0.7405 0.6697 3.3741E-02 7 7.59 15.00 3.5393E-03 4.6009E-02 4.9548E-02 1.2026E-03 3.2842E-02 0.3398 0.7138 0.6386 3.6619E-02 9 11.27 20.00 1.5356E-03 2.4277E-02 2.5813E-02 4.9292E-04 1.7189E-02 0.3210 0.7080 0.6468 2.8677E-02 11 13.62 25.00 5.4810E-04 1.3393E-02 1.3941E-02 1.8888E-04 9.7140E-03 0.3446 0.7253 0.6832 1.9444E-02 K-functions (units of 1/meter) at 565.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.02699 0.07910 0.07707 0.03648 0.09045 0.09158 0.06006 5.000 5.010 5.005 0.03308 0.09149 0.08854 0.04493 0.09992 0.10142 0.06903 10.000 10.010 10.005 0.05931 0.10593 0.10295 0.07143 0.11324 0.11470 0.09852 15.000 15.010 15.005 0.14480 0.12660 0.12790 0.15840 0.13282 0.13185 0.16976 20.000 20.010 20.005 0.19861 0.12615 0.13046 0.20656 0.12507 0.12266 0.18285 25.000 25.010 25.005 0.12379 0.11006 0.11060 0.11025 0.10142 0.10124 0.09867 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 6.24012E-02 4.13636E-04 1.22727E-03 1.64091E-03 2.36600E-03 0.019667 9 1 10.0 0.0 180.0 6.02344E-02 4.19458E-04 1.18726E-03 1.60672E-03 2.39930E-03 0.019711 9 4 10.0 45.0 135.0 6.06401E-02 4.18428E-04 1.19663E-03 1.61505E-03 2.39340E-03 0.019733 9 7 10.0 90.0 90.0 6.18596E-02 4.19032E-04 1.22376E-03 1.64280E-03 2.39686E-03 0.019783 8 1 20.0 0.0 180.0 5.80976E-02 4.25635E-04 1.16384E-03 1.58948E-03 2.43463E-03 0.020033 8 4 20.0 45.0 135.0 5.86364E-02 4.22672E-04 1.17612E-03 1.59880E-03 2.41768E-03 0.020058 8 7 20.0 90.0 90.0 6.05075E-02 4.24484E-04 1.21022E-03 1.63471E-03 2.42804E-03 0.020001 7 1 30.0 0.0 180.0 5.55237E-02 4.35613E-04 1.17824E-03 1.61385E-03 2.49171E-03 0.021220 7 4 30.0 45.0 135.0 5.60949E-02 4.36783E-04 1.19223E-03 1.62901E-03 2.49840E-03 0.021254 7 7 30.0 90.0 90.0 5.83328E-02 4.37106E-04 1.23847E-03 1.67558E-03 2.50025E-03 0.021231 6 1 40.0 0.0 180.0 5.25261E-02 4.48104E-04 1.29984E-03 1.74795E-03 2.56315E-03 0.024747 6 4 40.0 45.0 135.0 5.30751E-02 4.49142E-04 1.31144E-03 1.76058E-03 2.56909E-03 0.024709 6 7 40.0 90.0 90.0 5.54376E-02 4.50282E-04 1.37556E-03 1.82585E-03 2.57561E-03 0.024813 5 1 50.0 0.0 180.0 4.91252E-02 4.64829E-04 1.69881E-03 2.16364E-03 2.65882E-03 0.034581 5 4 50.0 45.0 135.0 4.96275E-02 4.63438E-04 1.71984E-03 2.18328E-03 2.65086E-03 0.034655 5 7 50.0 90.0 90.0 5.19442E-02 4.64654E-04 1.80274E-03 2.26740E-03 2.65782E-03 0.034705 4 1 60.0 0.0 180.0 4.53687E-02 4.70004E-04 2.82123E-03 3.29124E-03 2.68842E-03 0.062185 4 4 60.0 45.0 135.0 4.58174E-02 4.67765E-04 2.84209E-03 3.30986E-03 2.67561E-03 0.062031 4 7 60.0 90.0 90.0 4.79825E-02 4.73613E-04 3.00111E-03 3.47472E-03 2.70906E-03 0.062546 3 1 70.0 0.0 180.0 4.13294E-02 4.49856E-04 5.67516E-03 6.12501E-03 2.57318E-03 0.137315 3 4 70.0 45.0 135.0 4.17266E-02 4.51920E-04 5.74784E-03 6.19976E-03 2.58498E-03 0.137750 3 7 70.0 90.0 90.0 4.36851E-02 4.55528E-04 6.11412E-03 6.56964E-03 2.60562E-03 0.139959 2 1 80.0 0.0 180.0 3.70999E-02 3.96644E-04 1.16568E-02 1.20534E-02 2.26880E-03 0.314199 2 4 80.0 45.0 135.0 3.74524E-02 3.96960E-04 1.20159E-02 1.24129E-02 2.27061E-03 0.320832 2 7 80.0 90.0 90.0 3.91842E-02 3.98015E-04 1.27175E-02 1.31155E-02 2.27665E-03 0.324558 1 1 87.5 0.0 180.0 3.38700E-02 3.28857E-04 1.94370E-02 1.97658E-02 1.88106E-03 0.573869 1 4 87.5 45.0 135.0 3.41952E-02 3.12574E-04 2.04374E-02 2.07500E-02 1.78792E-03 0.597670 1 7 87.5 90.0 90.0 3.57573E-02 3.44713E-04 2.13681E-02 2.17128E-02 1.97176E-03 0.597587 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 565.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.641E-03 6.240E-02 2.682E-02 2.874E-02 4.089E-02 9.386E-03 6.964E+00 4.136E-04 2.366E-03 1 0.00 0.00 7.670E-04 1.101E-01 2.105E-03 2.210E-03 2.402E-03 4.598E-03 4.442E+00 3 1.76 5.00 5.542E-04 7.114E-02 2.176E-03 2.274E-03 2.549E-03 5.353E-03 4.976E+00 5 4.13 10.00 3.652E-04 4.290E-02 1.884E-03 1.972E-03 2.176E-03 6.011E-03 5.613E+00 7 7.59 15.00 1.899E-04 2.299E-02 1.366E-03 1.423E-03 1.530E-03 5.782E-03 6.333E+00 9 11.27 20.00 7.847E-05 1.189E-02 6.899E-04 7.135E-04 7.504E-04 4.565E-03 6.281E+00 11 13.62 25.00 3.659E-05 6.938E-03 2.521E-04 2.590E-04 2.689E-04 3.766E-03 5.162E+00 Waveband 17 of 30 completed in 4.8 sec. * * * * * Output for wavelength band 18 (570.0 to 580.0 nm; nominal wavelength = 575.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 94.8 m at 575.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 570.0 nm to 580.0 nm: Ed(diffuse) = 2.837E-01 Ed(direct) = 4.156E-01 Ed(total) = 6.993E-01 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 1.748E-01 Ed(direct) = 0.000E+00 Ed(total) = 1.748E-01 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 0.0049 0.0000 0.0010 0.0831 3 1.817 5.000 0.0772 0.0065 0.0000 0.0013 0.0850 5 4.243 10.000 0.0772 0.0102 0.0000 0.0018 0.0892 7 7.754 15.000 0.0772 0.0163 0.0000 0.0025 0.0961 9 11.488 20.000 0.0772 0.0123 0.0000 0.0020 0.0916 11 13.897 25.000 0.0772 0.0041 0.0000 0.0009 0.0822 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 0.1187 0.1227 0.0000 0.2430 3 1.817 5.000 0.0016 0.1443 0.1690 0.0000 0.3149 5 4.243 10.000 0.0016 0.1954 0.2806 0.0000 0.4776 7 7.754 15.000 0.0016 0.2634 0.4710 0.0000 0.7359 9 11.488 20.000 0.0016 0.2206 0.3453 0.0000 0.5675 11 13.897 25.000 0.0016 0.1041 0.0990 0.0000 0.2046 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 0.00166 0.00022 0.00000 0.00267 3 1.817 5.000 0.00079 0.00202 0.00030 0.00000 0.00311 5 4.243 10.000 0.00079 0.00274 0.00049 0.00000 0.00402 7 7.754 15.000 0.00079 0.00369 0.00083 0.00000 0.00531 9 11.488 20.000 0.00079 0.00309 0.00061 0.00000 0.00449 11 13.897 25.000 0.00079 0.00146 0.00017 0.00000 0.00242 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 0.0831 0.2430 0.3261 0.7450 0.00267 0.01099 3 1.817 5.000 0.0850 0.3149 0.3999 0.7875 0.00311 0.00988 5 4.243 10.000 0.0892 0.4776 0.5668 0.8426 0.00402 0.00842 7 7.754 15.000 0.0961 0.7359 0.8320 0.8845 0.00531 0.00722 9 11.488 20.000 0.0916 0.5675 0.6591 0.8611 0.00449 0.00791 11 13.897 25.000 0.0822 0.2046 0.2868 0.7134 0.00242 0.01184 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.1634E-01 8 20.00 7.2491E-01 7 30.00 5.0025E-01 6 40.00 3.0791E-01 5 50.00 1.7406E-01 4 60.00 9.3563E-02 3 70.00 4.9628E-02 2 80.00 2.7068E-02 1 87.50 1.7601E-02 1 92.50 1.3185E-02 2 100.00 9.2722E-03 3 110.00 6.3384E-03 4 120.00 4.7210E-03 5 130.00 3.8206E-03 6 140.00 3.3099E-03 7 150.00 3.0178E-03 8 160.00 2.8539E-03 9 170.00 2.7705E-03 10 180.00 2.7414E-03 Asymptotic AOP values are MUu(inf) = 0.3598 MUd(inf) = 0.7870 MU(inf) = 0.7549 R(inf) = 0.0132 Lu(inf)/Ed(inf) = 0.002710 (1/sr) k(inf) = 0.1089 (1/m) absorp(check) = 0.0822 = 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 4.3446E-02 3.2298E-01 3.6642E-01 1.1149E-02 1.7482E-01 0.2566 0.5413 0.4467 6.3772E-02 1 0.00 0.00 6.7352E-03 2.0314E-01 2.0987E-01 2.7445E-03 1.6642E-01 0.4075 0.8192 0.7799 1.6492E-02 3 1.82 5.00 5.4985E-03 1.2328E-01 1.2878E-01 2.1015E-03 9.5797E-02 0.3822 0.7771 0.7276 2.1937E-02 5 4.24 10.00 4.1019E-03 6.9714E-02 7.3816E-02 1.4925E-03 5.2188E-02 0.3639 0.7486 0.6868 2.8599E-02 7 7.75 15.00 2.4728E-03 3.6356E-02 3.8828E-02 8.3495E-04 2.6272E-02 0.3377 0.7226 0.6551 3.1781E-02 9 11.49 20.00 9.8929E-04 1.7849E-02 1.8838E-02 3.1613E-04 1.2809E-02 0.3196 0.7176 0.6632 2.4680E-02 11 13.90 25.00 3.1438E-04 9.1250E-03 9.4394E-03 1.0914E-04 6.7233E-03 0.3472 0.7368 0.7007 1.6233E-02 K-functions (units of 1/meter) at 575.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.03609 0.09365 0.09180 0.04713 0.10534 0.10631 0.07095 5.000 5.010 5.005 0.04307 0.10745 0.10470 0.05431 0.11501 0.11637 0.07784 10.000 10.010 10.005 0.06747 0.12111 0.11812 0.07924 0.12787 0.12930 0.10670 15.000 15.010 15.005 0.15905 0.14053 0.14171 0.17263 0.14670 0.14585 0.18335 20.000 20.010 20.005 0.21821 0.14083 0.14489 0.22573 0.13946 0.13728 0.20070 25.000 25.010 25.005 0.13926 0.12580 0.12625 0.12344 0.11658 0.11647 0.10961 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 6.24009E-02 3.33855E-04 1.22727E-03 1.56112E-03 1.90966E-03 0.019667 9 1 10.0 0.0 180.0 6.02341E-02 3.38410E-04 1.18725E-03 1.52566E-03 1.93571E-03 0.019711 9 4 10.0 45.0 135.0 6.06398E-02 3.37549E-04 1.19662E-03 1.53417E-03 1.93079E-03 0.019733 9 7 10.0 90.0 90.0 6.18593E-02 3.37966E-04 1.22376E-03 1.56172E-03 1.93317E-03 0.019783 8 1 20.0 0.0 180.0 5.80973E-02 3.42971E-04 1.16384E-03 1.50681E-03 1.96180E-03 0.020033 8 4 20.0 45.0 135.0 5.86361E-02 3.40537E-04 1.17612E-03 1.51666E-03 1.94788E-03 0.020058 8 7 20.0 90.0 90.0 6.05073E-02 3.41880E-04 1.21022E-03 1.55210E-03 1.95556E-03 0.020001 7 1 30.0 0.0 180.0 5.55235E-02 3.50460E-04 1.17823E-03 1.52869E-03 2.00464E-03 0.021220 7 4 30.0 45.0 135.0 5.60947E-02 3.51336E-04 1.19222E-03 1.54356E-03 2.00965E-03 0.021254 7 7 30.0 90.0 90.0 5.83325E-02 3.51434E-04 1.23847E-03 1.58990E-03 2.01021E-03 0.021231 6 1 40.0 0.0 180.0 5.25259E-02 3.59616E-04 1.29984E-03 1.65945E-03 2.05701E-03 0.024747 6 4 40.0 45.0 135.0 5.30748E-02 3.60359E-04 1.31144E-03 1.67179E-03 2.06126E-03 0.024709 6 7 40.0 90.0 90.0 5.54373E-02 3.61059E-04 1.37556E-03 1.73662E-03 2.06527E-03 0.024813 5 1 50.0 0.0 180.0 4.91250E-02 3.72331E-04 1.69880E-03 2.07113E-03 2.12974E-03 0.034581 5 4 50.0 45.0 135.0 4.96273E-02 3.71111E-04 1.71983E-03 2.09095E-03 2.12277E-03 0.034655 5 7 50.0 90.0 90.0 5.19439E-02 3.71838E-04 1.80273E-03 2.17457E-03 2.12692E-03 0.034705 4 1 60.0 0.0 180.0 4.53685E-02 3.75894E-04 2.82122E-03 3.19712E-03 2.15012E-03 0.062185 4 4 60.0 45.0 135.0 4.58171E-02 3.73989E-04 2.84208E-03 3.21607E-03 2.13922E-03 0.062031 4 7 60.0 90.0 90.0 4.79823E-02 3.78397E-04 3.00110E-03 3.37949E-03 2.16444E-03 0.062546 3 1 70.0 0.0 180.0 4.13292E-02 3.59539E-04 5.67513E-03 6.03467E-03 2.05657E-03 0.137315 3 4 70.0 45.0 135.0 4.17264E-02 3.61077E-04 5.74781E-03 6.10889E-03 2.06537E-03 0.137750 3 7 70.0 90.0 90.0 4.36849E-02 3.63700E-04 6.11409E-03 6.47779E-03 2.08037E-03 0.139959 2 1 80.0 0.0 180.0 3.70997E-02 3.17022E-04 1.16567E-02 1.19737E-02 1.81337E-03 0.314199 2 4 80.0 45.0 135.0 3.74522E-02 3.17177E-04 1.20159E-02 1.23330E-02 1.81426E-03 0.320832 2 7 80.0 90.0 90.0 3.91840E-02 3.17798E-04 1.27175E-02 1.30353E-02 1.81781E-03 0.324558 1 1 87.5 0.0 180.0 3.38699E-02 2.63133E-04 1.94369E-02 1.97000E-02 1.50513E-03 0.573869 1 4 87.5 45.0 135.0 3.41950E-02 2.50029E-04 2.04373E-02 2.06874E-02 1.43017E-03 0.597670 1 7 87.5 90.0 90.0 3.57572E-02 2.75568E-04 2.13680E-02 2.16436E-02 1.57626E-03 0.597587 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 575.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.561E-03 6.240E-02 2.678E-02 2.870E-02 4.085E-02 8.930E-03 7.142E+00 3.339E-04 1.910E-03 1 0.00 0.00 6.191E-04 1.101E-01 1.760E-03 1.852E-03 2.024E-03 3.720E-03 4.433E+00 3 1.82 5.00 4.251E-04 6.681E-02 1.735E-03 1.814E-03 2.038E-03 4.438E-03 4.943E+00 5 4.24 10.00 2.683E-04 3.780E-02 1.414E-03 1.479E-03 1.633E-03 5.142E-03 5.562E+00 7 7.75 15.00 1.327E-04 1.896E-02 9.757E-04 1.017E-03 1.093E-03 5.049E-03 6.294E+00 9 11.49 20.00 5.079E-05 9.171E-03 4.538E-04 4.692E-04 4.931E-04 3.965E-03 6.224E+00 11 13.90 25.00 2.177E-05 5.005E-03 1.457E-04 1.496E-04 1.552E-04 3.238E-03 5.014E+00 Waveband 18 of 30 completed in 4.8 sec. * * * * * Output for wavelength band 19 (580.0 to 590.0 nm; nominal wavelength = 585.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 87.9 m at 585.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 580.0 nm to 590.0 nm: Ed(diffuse) = 2.746E-01 Ed(direct) = 4.083E-01 Ed(total) = 6.829E-01 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 1.707E-01 Ed(direct) = 0.000E+00 Ed(total) = 1.707E-01 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 0.0050 0.0000 0.0009 0.1159 3 1.974 5.000 0.1100 0.0066 0.0000 0.0011 0.1177 5 4.557 10.000 0.1100 0.0103 0.0000 0.0015 0.1219 7 8.229 15.000 0.1100 0.0164 0.0000 0.0022 0.1285 9 12.124 20.000 0.1100 0.0124 0.0000 0.0018 0.1242 11 14.690 25.000 0.1100 0.0042 0.0000 0.0008 0.1150 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 0.1181 0.1220 0.0000 0.2416 3 1.974 5.000 0.0015 0.1438 0.1684 0.0000 0.3136 5 4.557 10.000 0.0015 0.1951 0.2800 0.0000 0.4766 7 8.229 15.000 0.0015 0.2634 0.4710 0.0000 0.7358 9 12.124 20.000 0.0015 0.2204 0.3449 0.0000 0.5668 11 14.690 25.000 0.0015 0.1034 0.0984 0.0000 0.2033 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 0.00166 0.00021 0.00000 0.00260 3 1.974 5.000 0.00073 0.00202 0.00030 0.00000 0.00305 5 4.557 10.000 0.00073 0.00273 0.00049 0.00000 0.00396 7 8.229 15.000 0.00073 0.00369 0.00083 0.00000 0.00525 9 12.124 20.000 0.00073 0.00309 0.00061 0.00000 0.00443 11 14.690 25.000 0.00073 0.00145 0.00017 0.00000 0.00236 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 0.1159 0.2416 0.3575 0.6758 0.00260 0.01078 3 1.974 5.000 0.1177 0.3136 0.4313 0.7271 0.00305 0.00971 5 4.557 10.000 0.1219 0.4766 0.5984 0.7964 0.00396 0.00831 7 8.229 15.000 0.1285 0.7358 0.8644 0.8513 0.00525 0.00714 9 12.124 20.000 0.1242 0.5668 0.6910 0.8203 0.00443 0.00782 11 14.690 25.000 0.1150 0.2033 0.3182 0.6387 0.00236 0.01159 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.9857E-01 8 20.00 6.7511E-01 7 30.00 4.3108E-01 6 40.00 2.4150E-01 5 50.00 1.2362E-01 4 60.00 6.0544E-02 3 70.00 2.9731E-02 2 80.00 1.5339E-02 1 87.50 9.7167E-03 1 92.50 7.2257E-03 2 100.00 5.0580E-03 3 110.00 3.4667E-03 4 120.00 2.6127E-03 5 130.00 2.1471E-03 6 140.00 1.8878E-03 7 150.00 1.7420E-03 8 160.00 1.6615E-03 9 170.00 1.6210E-03 10 180.00 1.6068E-03 Asymptotic AOP values are MUu(inf) = 0.3647 MUd(inf) = 0.8153 MU(inf) = 0.7931 R(inf) = 0.0086 Lu(inf)/Ed(inf) = 0.001846 (1/sr) k(inf) = 0.1450 (1/m) absorp(check) = 0.1150 = 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 4.1680E-02 3.1541E-01 3.5709E-01 1.0505E-02 1.7073E-01 0.2520 0.5413 0.4487 6.1529E-02 1 0.00 0.00 4.4185E-03 1.9662E-01 2.0104E-01 1.7619E-03 1.6198E-01 0.3988 0.8238 0.7970 1.0877E-02 3 1.97 5.00 2.9945E-03 9.7010E-02 1.0000E-01 1.1262E-03 7.6477E-02 0.3761 0.7883 0.7535 1.4726E-02 5 4.56 10.00 1.8939E-03 4.4644E-02 4.6538E-02 6.8508E-04 3.4196E-02 0.3617 0.7660 0.7201 2.0034E-02 7 8.23 15.00 9.8645E-04 1.9066E-02 2.0053E-02 3.3318E-04 1.4160E-02 0.3378 0.7427 0.6895 2.3530E-02 9 12.12 20.00 3.2837E-04 7.6841E-03 8.0125E-03 1.0716E-04 5.6818E-03 0.3263 0.7394 0.6957 1.8860E-02 11 14.69 25.00 8.6878E-05 3.2309E-03 3.3178E-03 3.2024E-05 2.4588E-03 0.3686 0.7610 0.7314 1.3024E-02 K-functions (units of 1/meter) at 585.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.06782 0.13279 0.13137 0.08180 0.14448 0.14517 0.10518 5.000 5.010 5.005 0.07692 0.14916 0.14700 0.08643 0.15473 0.15575 0.10687 10.000 10.010 10.005 0.09628 0.16177 0.15910 0.10639 0.16716 0.16840 0.13161 15.000 15.010 15.005 0.19563 0.17984 0.18062 0.20688 0.18560 0.18508 0.21218 20.000 20.010 20.005 0.25577 0.18008 0.18318 0.25750 0.17829 0.17676 0.22619 25.000 25.010 25.005 0.16256 0.16454 0.16449 0.14169 0.15485 0.15503 0.12252 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 6.09393E-02 2.15244E-04 1.19852E-03 1.41376E-03 1.26073E-03 0.019667 9 1 10.0 0.0 180.0 5.88233E-02 2.18023E-04 1.15944E-03 1.37747E-03 1.27701E-03 0.019711 9 4 10.0 45.0 135.0 5.92195E-02 2.17426E-04 1.16859E-03 1.38602E-03 1.27351E-03 0.019733 9 7 10.0 90.0 90.0 6.04104E-02 2.17592E-04 1.19510E-03 1.41269E-03 1.27448E-03 0.019783 8 1 20.0 0.0 180.0 5.67365E-02 2.20452E-04 1.13658E-03 1.35703E-03 1.29123E-03 0.020033 8 4 20.0 45.0 135.0 5.72627E-02 2.18819E-04 1.14857E-03 1.36739E-03 1.28167E-03 0.020058 8 7 20.0 90.0 90.0 5.90900E-02 2.19513E-04 1.18187E-03 1.40139E-03 1.28573E-03 0.020001 7 1 30.0 0.0 180.0 5.42230E-02 2.24590E-04 1.15063E-03 1.37522E-03 1.31547E-03 0.021220 7 4 30.0 45.0 135.0 5.47808E-02 2.25057E-04 1.16430E-03 1.38936E-03 1.31820E-03 0.021254 7 7 30.0 90.0 90.0 5.69662E-02 2.24883E-04 1.20946E-03 1.43434E-03 1.31719E-03 0.021231 6 1 40.0 0.0 180.0 5.12956E-02 2.29356E-04 1.26939E-03 1.49875E-03 1.34339E-03 0.024747 6 4 40.0 45.0 135.0 5.18317E-02 2.29701E-04 1.28072E-03 1.51042E-03 1.34541E-03 0.024709 6 7 40.0 90.0 90.0 5.41389E-02 2.29829E-04 1.34334E-03 1.57317E-03 1.34615E-03 0.024813 5 1 50.0 0.0 180.0 4.79744E-02 2.36579E-04 1.65901E-03 1.89559E-03 1.38570E-03 0.034581 5 4 50.0 45.0 135.0 4.84649E-02 2.35651E-04 1.67955E-03 1.91520E-03 1.38026E-03 0.034655 5 7 50.0 90.0 90.0 5.07273E-02 2.35738E-04 1.76051E-03 1.99625E-03 1.38077E-03 0.034705 4 1 60.0 0.0 180.0 4.43058E-02 2.38103E-04 2.75514E-03 2.99324E-03 1.39462E-03 0.062185 4 4 60.0 45.0 135.0 4.47440E-02 2.36728E-04 2.77551E-03 3.01224E-03 1.38656E-03 0.062031 4 7 60.0 90.0 90.0 4.68584E-02 2.39106E-04 2.93080E-03 3.16991E-03 1.40049E-03 0.062546 3 1 70.0 0.0 180.0 4.03612E-02 2.27405E-04 5.54220E-03 5.76961E-03 1.33196E-03 0.137315 3 4 70.0 45.0 135.0 4.07490E-02 2.28210E-04 5.61319E-03 5.84140E-03 1.33668E-03 0.137750 3 7 70.0 90.0 90.0 4.26617E-02 2.29457E-04 5.97088E-03 6.20034E-03 1.34398E-03 0.139959 2 1 80.0 0.0 180.0 3.62307E-02 2.00492E-04 1.13837E-02 1.15842E-02 1.17432E-03 0.314199 2 4 80.0 45.0 135.0 3.65750E-02 2.00440E-04 1.17344E-02 1.19349E-02 1.17402E-03 0.320832 2 7 80.0 90.0 90.0 3.82662E-02 2.00469E-04 1.24196E-02 1.26201E-02 1.17419E-03 0.324558 1 1 87.5 0.0 180.0 3.30766E-02 1.66733E-04 1.89816E-02 1.91483E-02 9.76591E-04 0.573869 1 4 87.5 45.0 135.0 3.33941E-02 1.58313E-04 1.99586E-02 2.01170E-02 9.27272E-04 0.597670 1 7 87.5 90.0 90.0 3.49196E-02 1.74190E-04 2.08675E-02 2.10417E-02 1.02027E-03 0.597587 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 585.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.414E-03 6.094E-02 2.611E-02 2.798E-02 3.985E-02 8.281E-03 7.430E+00 2.152E-04 1.261E-03 1 0.00 0.00 3.992E-04 1.075E-01 1.226E-03 1.295E-03 1.432E-03 2.465E-03 4.413E+00 3 1.97 5.00 2.328E-04 5.526E-02 1.015E-03 1.061E-03 1.194E-03 3.045E-03 4.837E+00 5 4.56 10.00 1.281E-04 2.631E-02 6.843E-04 7.154E-04 7.885E-04 3.746E-03 5.348E+00 7 8.23 15.00 5.569E-05 1.100E-02 4.022E-04 4.184E-04 4.486E-04 3.933E-03 5.983E+00 9 12.12 20.00 1.864E-05 4.420E-03 1.513E-04 1.561E-04 1.635E-04 3.280E-03 5.750E+00 11 14.69 25.00 7.177E-06 2.017E-03 3.732E-05 3.819E-05 3.944E-05 2.919E-03 4.462E+00 Waveband 19 of 30 completed in 5.2 sec. * * * * * Output for wavelength band 20 (590.0 to 600.0 nm; nominal wavelength = 595.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 78.5 m at 595.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 590.0 nm to 600.0 nm: Ed(diffuse) = 2.604E-01 Ed(direct) = 3.930E-01 Ed(total) = 6.534E-01 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 1.634E-01 Ed(direct) = 0.000E+00 Ed(total) = 1.634E-01 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 0.0050 0.0000 0.0008 0.1730 3 2.253 5.000 0.1672 0.0066 0.0000 0.0009 0.1747 5 5.114 10.000 0.1672 0.0101 0.0000 0.0013 0.1787 7 9.066 15.000 0.1672 0.0159 0.0000 0.0019 0.1850 9 13.242 20.000 0.1672 0.0121 0.0000 0.0015 0.1809 11 16.087 25.000 0.1672 0.0042 0.0000 0.0007 0.1720 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 0.1175 0.1214 0.0000 0.2403 3 2.253 5.000 0.0014 0.1432 0.1677 0.0000 0.3123 5 5.114 10.000 0.0014 0.1947 0.2795 0.0000 0.4756 7 9.066 15.000 0.0014 0.2634 0.4710 0.0000 0.7357 9 13.242 20.000 0.0014 0.2202 0.3446 0.0000 0.5661 11 16.087 25.000 0.0014 0.1028 0.0978 0.0000 0.2020 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 0.00165 0.00021 0.00000 0.00254 3 2.253 5.000 0.00068 0.00201 0.00030 0.00000 0.00298 5 5.114 10.000 0.00068 0.00273 0.00049 0.00000 0.00390 7 9.066 15.000 0.00068 0.00369 0.00083 0.00000 0.00520 9 13.242 20.000 0.00068 0.00309 0.00061 0.00000 0.00437 11 16.087 25.000 0.00068 0.00144 0.00017 0.00000 0.00230 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 0.1730 0.2403 0.4132 0.5814 0.00254 0.01058 3 2.253 5.000 0.1747 0.3123 0.4870 0.6413 0.00298 0.00956 5 5.114 10.000 0.1787 0.4756 0.6542 0.7269 0.00390 0.00821 7 9.066 15.000 0.1850 0.7357 0.9207 0.7991 0.00520 0.00707 9 13.242 20.000 0.1809 0.5661 0.7470 0.7579 0.00437 0.00773 11 16.087 25.000 0.1720 0.2020 0.3740 0.5400 0.00230 0.01136 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.7189E-01 8 20.00 6.0563E-01 7 30.00 3.4482E-01 6 40.00 1.6910E-01 5 50.00 7.5842E-02 4 60.00 3.3174E-02 3 70.00 1.5010E-02 2 80.00 7.3797E-03 1 87.50 4.5995E-03 1 92.50 3.4255E-03 2 100.00 2.4101E-03 3 110.00 1.6729E-03 4 120.00 1.2853E-03 5 130.00 1.0777E-03 6 140.00 9.6400E-04 7 150.00 9.0132E-04 8 160.00 8.6741E-04 9 170.00 8.5066E-04 10 180.00 8.4465E-04 Asymptotic AOP values are MUu(inf) = 0.3731 MUd(inf) = 0.8467 MU(inf) = 0.8325 R(inf) = 0.0052 Lu(inf)/Ed(inf) = 0.001180 (1/sr) k(inf) = 0.2067 (1/m) absorp(check) = 0.1721 = 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 3.9364E-02 3.0178E-01 3.4114E-01 9.7860E-03 1.6335E-01 0.2486 0.5413 0.4501 5.9908E-02 1 0.00 0.00 2.6689E-03 1.8686E-01 1.8953E-01 1.0412E-03 1.5460E-01 0.3901 0.8274 0.8102 6.7348E-03 3 2.25 5.00 1.2812E-03 6.4595E-02 6.5876E-02 4.7840E-04 5.1833E-02 0.3734 0.8024 0.7796 9.2296E-03 5 5.11 10.00 6.0213E-04 2.1015E-02 2.1617E-02 2.2054E-04 1.6563E-02 0.3663 0.7882 0.7560 1.3315E-02 7 9.07 15.00 2.4662E-04 6.4224E-03 6.6690E-03 8.6530E-05 4.9340E-03 0.3509 0.7682 0.7269 1.7538E-02 9 13.24 20.00 6.7968E-05 1.8666E-03 1.9346E-03 2.4699E-05 1.4296E-03 0.3634 0.7659 0.7262 1.7277E-02 11 16.09 25.00 1.9664E-05 5.7222E-04 5.9189E-04 8.5479E-06 4.4993E-04 0.4347 0.7863 0.7457 1.8998E-02 K-functions (units of 1/meter) at 595.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.13453 0.20251 0.20156 0.14727 0.21276 0.21320 0.16778 5.000 5.010 5.005 0.13931 0.21978 0.21821 0.14541 0.22270 0.22342 0.15886 10.000 10.010 10.005 0.14860 0.22990 0.22764 0.15467 0.23363 0.23469 0.17132 15.000 15.010 15.005 0.24534 0.24559 0.24558 0.24792 0.25092 0.25097 0.23725 20.000 20.010 20.005 0.27292 0.24458 0.24558 0.25484 0.24286 0.24265 0.20885 25.000 25.010 25.005 0.13552 0.22606 0.22305 0.11503 0.21747 0.21945 0.09788 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 5.83057E-02 1.27753E-04 1.14672E-03 1.27448E-03 7.82075E-04 0.019667 9 1 10.0 0.0 180.0 5.62812E-02 1.29332E-04 1.10934E-03 1.23867E-03 7.91741E-04 0.019711 9 4 10.0 45.0 135.0 5.66602E-02 1.28956E-04 1.11809E-03 1.24705E-03 7.89441E-04 0.019733 9 7 10.0 90.0 90.0 5.77997E-02 1.29000E-04 1.14345E-03 1.27245E-03 7.89712E-04 0.019783 8 1 20.0 0.0 180.0 5.42846E-02 1.30525E-04 1.08746E-03 1.21798E-03 7.99046E-04 0.020033 8 4 20.0 45.0 135.0 5.47880E-02 1.29523E-04 1.09893E-03 1.22846E-03 7.92910E-04 0.020058 8 7 20.0 90.0 90.0 5.65364E-02 1.29844E-04 1.13080E-03 1.26064E-03 7.94876E-04 0.020001 7 1 30.0 0.0 180.0 5.18797E-02 1.32644E-04 1.10091E-03 1.23355E-03 8.12015E-04 0.021220 7 4 30.0 45.0 135.0 5.24134E-02 1.32869E-04 1.11398E-03 1.24685E-03 8.13393E-04 0.021254 7 7 30.0 90.0 90.0 5.45044E-02 1.32640E-04 1.15719E-03 1.28983E-03 8.11989E-04 0.021231 6 1 40.0 0.0 180.0 4.90788E-02 1.34904E-04 1.21453E-03 1.34944E-03 8.25850E-04 0.024747 6 4 40.0 45.0 135.0 4.95917E-02 1.35037E-04 1.22537E-03 1.36041E-03 8.26665E-04 0.024709 6 7 40.0 90.0 90.0 5.17992E-02 1.34939E-04 1.28529E-03 1.42022E-03 8.26064E-04 0.024813 5 1 50.0 0.0 180.0 4.59011E-02 1.38678E-04 1.58732E-03 1.72599E-03 8.48954E-04 0.034581 5 4 50.0 45.0 135.0 4.63704E-02 1.38051E-04 1.60697E-03 1.74502E-03 8.45116E-04 0.034655 5 7 50.0 90.0 90.0 4.85350E-02 1.37894E-04 1.68443E-03 1.82232E-03 8.44158E-04 0.034705 4 1 60.0 0.0 180.0 4.23911E-02 1.39155E-04 2.63607E-03 2.77523E-03 8.51873E-04 0.062185 4 4 60.0 45.0 135.0 4.28103E-02 1.38259E-04 2.65556E-03 2.79382E-03 8.46392E-04 0.062031 4 7 60.0 90.0 90.0 4.48334E-02 1.39415E-04 2.80415E-03 2.94356E-03 8.53468E-04 0.062546 3 1 70.0 0.0 180.0 3.86169E-02 1.32655E-04 5.30269E-03 5.43535E-03 8.12086E-04 0.137315 3 4 70.0 45.0 135.0 3.89880E-02 1.33033E-04 5.37061E-03 5.50364E-03 8.14395E-04 0.137750 3 7 70.0 90.0 90.0 4.08180E-02 1.33521E-04 5.71284E-03 5.84636E-03 8.17382E-04 0.139959 2 1 80.0 0.0 180.0 3.46650E-02 1.16876E-04 1.08917E-02 1.10086E-02 7.15489E-04 0.314199 2 4 80.0 45.0 135.0 3.49944E-02 1.16761E-04 1.12273E-02 1.13441E-02 7.14783E-04 0.320832 2 7 80.0 90.0 90.0 3.66125E-02 1.16565E-04 1.18829E-02 1.19994E-02 7.13586E-04 0.324558 1 1 87.5 0.0 180.0 3.16471E-02 9.72959E-05 1.81613E-02 1.82586E-02 5.95623E-04 0.573869 1 4 87.5 45.0 135.0 3.19509E-02 9.23165E-05 1.90961E-02 1.91884E-02 5.65140E-04 0.597670 1 7 87.5 90.0 90.0 3.34105E-02 1.01396E-04 1.99657E-02 2.00671E-02 6.20726E-04 0.597587 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 595.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.274E-03 5.831E-02 2.495E-02 2.674E-02 3.810E-02 7.802E-03 7.678E+00 1.278E-04 7.821E-04 1 0.00 0.00 2.370E-04 1.029E-01 8.010E-04 8.512E-04 9.558E-04 1.533E-03 4.393E+00 3 2.25 5.00 1.028E-04 3.959E-02 4.603E-04 4.809E-04 5.394E-04 1.983E-03 4.655E+00 5 5.11 10.00 4.471E-05 1.397E-02 2.228E-04 2.323E-04 2.543E-04 2.699E-03 4.932E+00 7 9.07 15.00 1.653E-05 4.270E-03 9.904E-05 1.026E-04 1.092E-04 3.350E-03 5.236E+00 9 13.24 20.00 5.356E-06 1.249E-03 2.755E-05 2.826E-05 2.935E-05 3.747E-03 4.611E+00 11 16.09 25.00 2.380E-06 4.202E-04 5.743E-06 5.822E-06 5.932E-06 5.289E-03 3.592E+00 Waveband 20 of 30 completed in 5.8 sec. * * * * * Output for wavelength band 21 (600.0 to 610.0 nm; nominal wavelength = 605.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 68.2 m at 605.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 600.0 nm to 610.0 nm: Ed(diffuse) = 2.691E-01 Ed(direct) = 4.114E-01 Ed(total) = 6.805E-01 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 1.701E-01 Ed(direct) = 0.000E+00 Ed(total) = 1.701E-01 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 0.0048 0.0000 0.0007 0.2631 3 2.697 5.000 0.2577 0.0063 0.0000 0.0008 0.2648 5 6.003 10.000 0.2577 0.0097 0.0000 0.0012 0.2686 7 10.402 15.000 0.2577 0.0154 0.0000 0.0017 0.2747 9 15.025 20.000 0.2577 0.0117 0.0000 0.0013 0.2707 11 18.314 25.000 0.2577 0.0040 0.0000 0.0006 0.2623 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 0.1169 0.1208 0.0000 0.2390 3 2.697 5.000 0.0013 0.1427 0.1671 0.0000 0.3110 5 6.003 10.000 0.0013 0.1943 0.2790 0.0000 0.4746 7 10.402 15.000 0.0013 0.2634 0.4710 0.0000 0.7356 9 15.025 20.000 0.0013 0.2200 0.3442 0.0000 0.5654 11 18.314 25.000 0.0013 0.1022 0.0972 0.0000 0.2007 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 0.00164 0.00021 0.00000 0.00249 3 2.697 5.000 0.00063 0.00200 0.00029 0.00000 0.00293 5 6.003 10.000 0.00063 0.00272 0.00049 0.00000 0.00385 7 10.402 15.000 0.00063 0.00369 0.00083 0.00000 0.00516 9 15.025 20.000 0.00063 0.00308 0.00061 0.00000 0.00432 11 18.314 25.000 0.00063 0.00143 0.00017 0.00000 0.00224 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 0.2631 0.2390 0.5021 0.4759 0.00249 0.01040 3 2.697 5.000 0.2648 0.3110 0.5758 0.5401 0.00293 0.00942 5 6.003 10.000 0.2686 0.4746 0.7432 0.6386 0.00385 0.00811 7 10.402 15.000 0.2747 0.7356 1.0103 0.7281 0.00516 0.00701 9 15.025 20.000 0.2707 0.5654 0.8362 0.6762 0.00432 0.00765 11 18.314 25.000 0.2623 0.2007 0.4630 0.4335 0.00224 0.01115 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.3606E-01 8 20.00 5.2180E-01 7 30.00 2.5588E-01 6 40.00 1.0668E-01 5 50.00 4.1324E-02 4 60.00 1.6218E-02 3 70.00 6.8986E-03 2 80.00 3.3132E-03 1 87.50 2.0641E-03 1 92.50 1.5520E-03 2 100.00 1.1052E-03 3 110.00 7.8088E-04 4 120.00 6.1270E-04 5 130.00 5.2376E-04 6 140.00 4.7585E-04 7 150.00 4.4996E-04 8 160.00 4.3628E-04 9 170.00 4.2967E-04 10 180.00 4.2723E-04 Asymptotic AOP values are MUu(inf) = 0.3826 MUd(inf) = 0.8758 MU(inf) = 0.8668 R(inf) = 0.0032 Lu(inf)/Ed(inf) = 0.000744 (1/sr) k(inf) = 0.3026 (1/m) absorp(check) = 0.2623 = 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 4.0664E-02 3.1428E-01 3.5494E-01 1.0021E-02 1.7012E-01 0.2464 0.5413 0.4510 5.8909E-02 1 0.00 0.00 1.7381E-03 1.9376E-01 1.9550E-01 6.6579E-04 1.6076E-01 0.3830 0.8297 0.8189 4.1416E-03 3 2.70 5.00 4.8904E-04 3.8555E-02 3.9044E-02 1.8481E-04 3.1559E-02 0.3779 0.8186 0.8036 5.8560E-03 5 6.00 10.00 1.5428E-04 7.3979E-03 7.5522E-03 5.9845E-05 6.0115E-03 0.3879 0.8126 0.7881 9.9551E-03 7 10.40 15.00 5.1316E-05 1.3667E-03 1.4181E-03 2.0548E-05 1.0848E-03 0.4004 0.7937 0.7505 1.8942E-02 9 15.02 20.00 1.6510E-05 2.4932E-04 2.6583E-04 7.3720E-06 1.9500E-04 0.4465 0.7821 0.7058 3.7805E-02 11 18.31 25.00 7.9176E-06 5.2799E-05 6.0717E-05 3.8568E-06 4.0651E-05 0.4871 0.7699 0.6060 9.4877E-02 K-functions (units of 1/meter) at 605.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.25057 0.31392 0.31335 0.25426 0.32083 0.32110 0.26817 5.000 5.010 5.005 0.23191 0.32787 0.32666 0.23084 0.32793 0.32850 0.23142 10.000 10.010 10.005 0.21246 0.33310 0.33063 0.20767 0.33549 0.33677 0.20446 15.000 15.010 15.005 0.25765 0.34322 0.34013 0.24051 0.34935 0.35145 0.21038 20.000 20.010 20.005 0.18790 0.33115 0.32225 0.16623 0.33384 0.34043 0.13941 25.000 25.010 25.005 0.07971 0.28504 0.25824 0.07511 0.28939 0.31188 0.07142 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 6.07200E-02 8.18344E-05 1.19421E-03 1.27604E-03 4.81052E-04 0.019667 9 1 10.0 0.0 180.0 5.86116E-02 8.28240E-05 1.15527E-03 1.23810E-03 4.86869E-04 0.019711 9 4 10.0 45.0 135.0 5.90064E-02 8.25748E-05 1.16439E-03 1.24696E-03 4.85405E-04 0.019733 9 7 10.0 90.0 90.0 6.01931E-02 8.25820E-05 1.19080E-03 1.27338E-03 4.85447E-04 0.019783 8 1 20.0 0.0 180.0 5.65324E-02 8.35006E-05 1.13249E-03 1.21599E-03 4.90847E-04 0.020033 8 4 20.0 45.0 135.0 5.70567E-02 8.28452E-05 1.14444E-03 1.22728E-03 4.86994E-04 0.020058 8 7 20.0 90.0 90.0 5.88774E-02 8.30148E-05 1.17762E-03 1.26063E-03 4.87991E-04 0.020001 7 1 30.0 0.0 180.0 5.40279E-02 8.47354E-05 1.14649E-03 1.23123E-03 4.98105E-04 0.021220 7 4 30.0 45.0 135.0 5.45837E-02 8.48590E-05 1.16011E-03 1.24497E-03 4.98832E-04 0.021254 7 7 30.0 90.0 90.0 5.67613E-02 8.46617E-05 1.20511E-03 1.28977E-03 4.97672E-04 0.021231 6 1 40.0 0.0 180.0 5.11111E-02 8.59719E-05 1.26483E-03 1.35080E-03 5.05374E-04 0.024747 6 4 40.0 45.0 135.0 5.16452E-02 8.60287E-05 1.27611E-03 1.36214E-03 5.05708E-04 0.024709 6 7 40.0 90.0 90.0 5.39441E-02 8.58957E-05 1.33851E-03 1.42440E-03 5.04926E-04 0.024813 5 1 50.0 0.0 180.0 4.78018E-02 8.81875E-05 1.65304E-03 1.74123E-03 5.18398E-04 0.034581 5 4 50.0 45.0 135.0 4.82905E-02 8.77548E-05 1.67351E-03 1.76126E-03 5.15854E-04 0.034655 5 7 50.0 90.0 90.0 5.05447E-02 8.75697E-05 1.75417E-03 1.84174E-03 5.14766E-04 0.034705 4 1 60.0 0.0 180.0 4.41464E-02 8.83168E-05 2.74523E-03 2.83354E-03 5.19158E-04 0.062185 4 4 60.0 45.0 135.0 4.45830E-02 8.77104E-05 2.76552E-03 2.85323E-03 5.15593E-04 0.062031 4 7 60.0 90.0 90.0 4.66898E-02 8.83463E-05 2.92026E-03 3.00861E-03 5.19331E-04 0.062546 3 1 70.0 0.0 180.0 4.02160E-02 8.40675E-05 5.52226E-03 5.60633E-03 4.94179E-04 0.137315 3 4 70.0 45.0 135.0 4.06024E-02 8.42676E-05 5.59299E-03 5.67726E-03 4.95355E-04 0.137750 3 7 70.0 90.0 90.0 4.25082E-02 8.44748E-05 5.94940E-03 6.03387E-03 4.96573E-04 0.139959 2 1 80.0 0.0 180.0 3.61004E-02 7.40108E-05 1.13427E-02 1.14167E-02 4.35062E-04 0.314199 2 4 80.0 45.0 135.0 3.64434E-02 7.39012E-05 1.16922E-02 1.17661E-02 4.34418E-04 0.320832 2 7 80.0 90.0 90.0 3.81285E-02 7.36857E-05 1.23749E-02 1.24486E-02 4.33151E-04 0.324558 1 1 87.5 0.0 180.0 3.29576E-02 6.16262E-05 1.89133E-02 1.89749E-02 3.62261E-04 0.573869 1 4 87.5 45.0 135.0 3.32739E-02 5.84441E-05 1.98868E-02 1.99453E-02 3.43556E-04 0.597670 1 7 87.5 90.0 90.0 3.47940E-02 6.41134E-05 2.07924E-02 2.08566E-02 3.76882E-04 0.597587 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 1.276E-03 6.072E-02 2.597E-02 2.783E-02 3.965E-02 7.501E-03 7.853E+00 8.183E-05 4.811E-04 1 0.00 0.00 1.518E-04 1.071E-01 5.740E-04 6.150E-04 7.037E-04 9.445E-04 4.385E+00 3 2.70 5.00 4.195E-05 2.609E-02 1.783E-04 1.859E-04 2.069E-04 1.329E-03 4.405E+00 5 6.00 10.00 1.393E-05 5.741E-03 5.348E-05 5.542E-05 5.975E-05 2.317E-03 4.297E+00 7 10.40 15.00 5.027E-06 1.075E-03 1.678E-05 1.721E-05 1.798E-05 4.634E-03 4.088E+00 9 15.02 20.00 2.094E-06 1.933E-04 4.178E-06 4.226E-06 4.297E-06 1.074E-02 3.521E+00 11 18.31 25.00 1.210E-06 4.143E-05 1.456E-06 1.459E-06 1.463E-06 2.977E-02 3.187E+00 Waveband 21 of 30 completed in 6.6 sec. * * * * * Output for wavelength band 22 (610.0 to 620.0 nm; nominal wavelength = 615.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 67.4 m at 615.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 610.0 nm to 620.0 nm: Ed(diffuse) = 2.626E-01 Ed(direct) = 4.064E-01 Ed(total) = 6.690E-01 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 1.673E-01 Ed(direct) = 0.000E+00 Ed(total) = 1.673E-01 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 0.0049 0.0000 0.0006 0.2733 3 2.742 5.000 0.2678 0.0065 0.0000 0.0007 0.2750 5 6.093 10.000 0.2678 0.0102 0.0000 0.0010 0.2790 7 10.543 15.000 0.2678 0.0163 0.0000 0.0014 0.2855 9 15.217 20.000 0.2678 0.0123 0.0000 0.0012 0.2812 11 18.553 25.000 0.2678 0.0041 0.0000 0.0005 0.2724 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 0.1163 0.1202 0.0000 0.2377 3 2.742 5.000 0.0012 0.1421 0.1665 0.0000 0.3098 5 6.093 10.000 0.0012 0.1940 0.2785 0.0000 0.4737 7 10.543 15.000 0.0012 0.2634 0.4710 0.0000 0.7355 9 15.217 20.000 0.0012 0.2197 0.3439 0.0000 0.5648 11 18.553 25.000 0.0012 0.1016 0.0967 0.0000 0.1995 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 0.00163 0.00021 0.00000 0.00243 3 2.742 5.000 0.00059 0.00199 0.00029 0.00000 0.00288 5 6.093 10.000 0.00059 0.00272 0.00049 0.00000 0.00380 7 10.543 15.000 0.00059 0.00369 0.00083 0.00000 0.00511 9 15.217 20.000 0.00059 0.00308 0.00061 0.00000 0.00428 11 18.553 25.000 0.00059 0.00143 0.00017 0.00000 0.00219 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 0.2733 0.2377 0.5110 0.4652 0.00243 0.01024 3 2.742 5.000 0.2750 0.3098 0.5848 0.5297 0.00288 0.00929 5 6.093 10.000 0.2790 0.4737 0.7527 0.6293 0.00380 0.00802 7 10.543 15.000 0.2855 0.7355 1.0211 0.7204 0.00511 0.00695 9 15.217 20.000 0.2812 0.5648 0.8460 0.6676 0.00428 0.00757 11 18.553 25.000 0.2724 0.1995 0.4719 0.4228 0.00219 0.01096 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.3187E-01 8 20.00 5.1266E-01 7 30.00 2.4713E-01 6 40.00 1.0120E-01 5 50.00 3.8602E-02 4 60.00 1.4988E-02 3 70.00 6.3389E-03 2 80.00 3.0364E-03 1 87.50 1.8898E-03 1 92.50 1.4208E-03 2 100.00 1.0112E-03 3 110.00 7.1393E-04 4 120.00 5.5997E-04 5 130.00 4.7862E-04 6 140.00 4.3481E-04 7 150.00 4.1112E-04 8 160.00 3.9861E-04 9 170.00 3.9256E-04 10 180.00 3.9033E-04 Asymptotic AOP values are MUu(inf) = 0.3824 MUd(inf) = 0.8786 MU(inf) = 0.8701 R(inf) = 0.0030 Lu(inf)/Ed(inf) = 0.000696 (1/sr) k(inf) = 0.3131 (1/m) absorp(check) = 0.2724 = 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 3.9947E-02 3.0898E-01 3.4893E-01 9.8353E-03 1.6725E-01 0.2462 0.5413 0.4511 5.8806E-02 1 0.00 0.00 1.6107E-03 1.9042E-01 1.9203E-01 6.1412E-04 1.5803E-01 0.3813 0.8299 0.8197 3.8862E-03 3 2.74 5.00 4.2566E-04 3.5636E-02 3.6062E-02 1.6041E-04 2.9233E-02 0.3768 0.8203 0.8062 5.4872E-03 5 6.09 10.00 1.2757E-04 6.4455E-03 6.5731E-03 4.9491E-05 5.2545E-03 0.3880 0.8152 0.7919 9.4187E-03 7 10.54 15.00 4.1054E-05 1.1223E-03 1.1634E-03 1.6525E-05 8.9400E-04 0.4025 0.7966 0.7543 1.8484E-02 9 15.22 20.00 1.3080E-05 1.9361E-04 2.0669E-04 5.8745E-06 1.5183E-04 0.4491 0.7842 0.7061 3.8693E-02 11 18.55 25.00 6.1891E-06 3.9291E-05 4.5480E-05 3.0168E-06 3.0207E-05 0.4874 0.7688 0.5978 9.9873E-02 K-functions (units of 1/meter) at 615.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.26500 0.32648 0.32596 0.26674 0.33290 0.33316 0.28011 5.000 5.010 5.005 0.24297 0.33981 0.33867 0.24152 0.33960 0.34014 0.24140 10.000 10.010 10.005 0.22092 0.34484 0.34243 0.21531 0.34707 0.34833 0.21083 15.000 15.010 15.005 0.26213 0.35509 0.35181 0.24394 0.36122 0.36343 0.21321 20.000 20.010 20.005 0.18885 0.34134 0.33168 0.16810 0.34449 0.35160 0.14278 25.000 25.010 25.005 0.08423 0.29173 0.26346 0.07998 0.29724 0.32137 0.07648 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 5.96974E-02 7.50700E-05 1.17410E-03 1.24917E-03 4.48848E-04 0.019667 9 1 10.0 0.0 180.0 5.76246E-02 7.59818E-05 1.13582E-03 1.21180E-03 4.54300E-04 0.019711 9 4 10.0 45.0 135.0 5.80127E-02 7.57538E-05 1.14478E-03 1.22053E-03 4.52936E-04 0.019733 9 7 10.0 90.0 90.0 5.91794E-02 7.57618E-05 1.17074E-03 1.24650E-03 4.52984E-04 0.019783 8 1 20.0 0.0 180.0 5.55803E-02 7.66142E-05 1.11341E-03 1.19003E-03 4.58080E-04 0.020033 8 4 20.0 45.0 135.0 5.60958E-02 7.60137E-05 1.12517E-03 1.20118E-03 4.54490E-04 0.020058 8 7 20.0 90.0 90.0 5.78859E-02 7.61718E-05 1.15779E-03 1.23396E-03 4.55435E-04 0.020001 7 1 30.0 0.0 180.0 5.31180E-02 7.77639E-05 1.12719E-03 1.20495E-03 4.64954E-04 0.021220 7 4 30.0 45.0 135.0 5.36645E-02 7.78786E-05 1.14057E-03 1.21845E-03 4.65641E-04 0.021254 7 7 30.0 90.0 90.0 5.58054E-02 7.77010E-05 1.18481E-03 1.26251E-03 4.64578E-04 0.021231 6 1 40.0 0.0 180.0 5.02503E-02 7.89306E-05 1.24352E-03 1.32246E-03 4.71930E-04 0.024747 6 4 40.0 45.0 135.0 5.07754E-02 7.89846E-05 1.25462E-03 1.33360E-03 4.72254E-04 0.024709 6 7 40.0 90.0 90.0 5.30356E-02 7.88677E-05 1.31596E-03 1.39483E-03 4.71554E-04 0.024813 5 1 50.0 0.0 180.0 4.69967E-02 8.10040E-05 1.62521E-03 1.70621E-03 4.84327E-04 0.034581 5 4 50.0 45.0 135.0 4.74773E-02 8.06090E-05 1.64532E-03 1.72593E-03 4.81965E-04 0.034655 5 7 50.0 90.0 90.0 4.96935E-02 8.04459E-05 1.72463E-03 1.80508E-03 4.80990E-04 0.034705 4 1 60.0 0.0 180.0 4.34030E-02 8.11670E-05 2.69900E-03 2.78016E-03 4.85302E-04 0.062185 4 4 60.0 45.0 135.0 4.38322E-02 8.06125E-05 2.71895E-03 2.79956E-03 4.81987E-04 0.062031 4 7 60.0 90.0 90.0 4.59035E-02 8.12055E-05 2.87108E-03 2.95229E-03 4.85532E-04 0.062546 3 1 70.0 0.0 180.0 3.95387E-02 7.73191E-05 5.42926E-03 5.50658E-03 4.62295E-04 0.137315 3 4 70.0 45.0 135.0 3.99186E-02 7.75062E-05 5.49880E-03 5.57631E-03 4.63414E-04 0.137750 3 7 70.0 90.0 90.0 4.17923E-02 7.77074E-05 5.84920E-03 5.92691E-03 4.64617E-04 0.139959 2 1 80.0 0.0 180.0 3.54924E-02 6.81212E-05 1.11517E-02 1.12198E-02 4.07301E-04 0.314199 2 4 80.0 45.0 135.0 3.58297E-02 6.80242E-05 1.14953E-02 1.15633E-02 4.06720E-04 0.320832 2 7 80.0 90.0 90.0 3.74864E-02 6.78354E-05 1.21665E-02 1.22343E-02 4.05592E-04 0.324558 1 1 87.5 0.0 180.0 3.24025E-02 5.67715E-05 1.85948E-02 1.86516E-02 3.39440E-04 0.573869 1 4 87.5 45.0 135.0 3.27136E-02 5.38428E-05 1.95519E-02 1.96058E-02 3.21929E-04 0.597670 1 7 87.5 90.0 90.0 3.42080E-02 5.90765E-05 2.04423E-02 2.05013E-02 3.53221E-04 0.597587 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 1.249E-03 5.970E-02 2.553E-02 2.735E-02 3.898E-02 7.469E-03 7.873E+00 7.507E-05 4.488E-04 1 0.00 0.00 1.393E-04 1.053E-01 5.402E-04 5.797E-04 6.652E-04 8.814E-04 4.409E+00 3 2.74 5.00 3.633E-05 2.438E-02 1.563E-04 1.630E-04 1.814E-04 1.243E-03 4.416E+00 5 6.09 10.00 1.155E-05 5.086E-03 4.432E-05 4.593E-05 4.948E-05 2.198E-03 4.284E+00 7 10.54 15.00 4.078E-06 8.997E-04 1.330E-05 1.364E-05 1.423E-05 4.561E-03 4.052E+00 9 15.22 20.00 1.678E-06 1.527E-04 3.245E-06 3.280E-06 3.332E-06 1.105E-02 3.501E+00 11 18.55 25.00 9.472E-07 3.109E-05 1.133E-06 1.135E-06 1.137E-06 3.136E-02 3.185E+00 Waveband 22 of 30 completed in 6.7 sec. * * * * * Output for wavelength band 23 (620.0 to 630.0 nm; nominal wavelength = 625.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 66.1 m at 625.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 620.0 nm to 630.0 nm: Ed(diffuse) = 2.585E-01 Ed(direct) = 4.047E-01 Ed(total) = 6.632E-01 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 1.658E-01 Ed(direct) = 0.000E+00 Ed(total) = 1.658E-01 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 0.0050 0.0000 0.0005 0.2889 3 2.814 5.000 0.2834 0.0067 0.0000 0.0006 0.2907 5 6.239 10.000 0.2834 0.0106 0.0000 0.0009 0.2948 7 10.766 15.000 0.2834 0.0169 0.0000 0.0012 0.3016 9 15.519 20.000 0.2834 0.0128 0.0000 0.0010 0.2972 11 18.928 25.000 0.2834 0.0042 0.0000 0.0004 0.2880 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 0.1158 0.1196 0.0000 0.2365 3 2.814 5.000 0.0011 0.1416 0.1658 0.0000 0.3086 5 6.239 10.000 0.0011 0.1936 0.2780 0.0000 0.4727 7 10.766 15.000 0.0011 0.2634 0.4710 0.0000 0.7355 9 15.519 20.000 0.0011 0.2195 0.3435 0.0000 0.5641 11 18.928 25.000 0.0011 0.1011 0.0961 0.0000 0.1983 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 0.00162 0.00021 0.00000 0.00238 3 2.814 5.000 0.00055 0.00199 0.00029 0.00000 0.00283 5 6.239 10.000 0.00055 0.00271 0.00049 0.00000 0.00376 7 10.766 15.000 0.00055 0.00369 0.00083 0.00000 0.00507 9 15.519 20.000 0.00055 0.00308 0.00060 0.00000 0.00423 11 18.928 25.000 0.00055 0.00142 0.00017 0.00000 0.00214 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 0.2889 0.2365 0.5254 0.4501 0.00238 0.01008 3 2.814 5.000 0.2907 0.3086 0.5993 0.5149 0.00283 0.00917 5 6.239 10.000 0.2948 0.4727 0.7676 0.6159 0.00376 0.00794 7 10.766 15.000 0.3016 0.7355 1.0371 0.7092 0.00507 0.00690 9 15.519 20.000 0.2972 0.5641 0.8613 0.6550 0.00423 0.00750 11 18.928 25.000 0.2880 0.1983 0.4863 0.4078 0.00214 0.01078 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.2577E-01 8 20.00 4.9961E-01 7 30.00 2.3495E-01 6 40.00 9.3793E-02 5 50.00 3.5017E-02 4 60.00 1.3404E-02 3 70.00 5.6298E-03 2 80.00 2.6905E-03 1 87.50 1.6739E-03 1 92.50 1.2592E-03 2 100.00 8.9640E-04 3 110.00 6.3307E-04 4 120.00 4.9691E-04 5 130.00 4.2505E-04 6 140.00 3.8637E-04 7 150.00 3.6548E-04 8 160.00 3.5445E-04 9 170.00 3.4912E-04 10 180.00 3.4716E-04 Asymptotic AOP values are MUu(inf) = 0.3827 MUd(inf) = 0.8824 MU(inf) = 0.8746 R(inf) = 0.0027 Lu(inf)/Ed(inf) = 0.000640 (1/sr) k(inf) = 0.3293 (1/m) absorp(check) = 0.2880 = 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 3.9561E-02 3.0629E-01 3.4585E-01 9.7297E-03 1.6579E-01 0.2459 0.5413 0.4512 5.8685E-02 1 0.00 0.00 1.4786E-03 1.8867E-01 1.9015E-01 5.6093E-04 1.5662E-01 0.3794 0.8302 0.8207 3.5814E-03 3 2.81 5.00 3.5558E-04 3.2122E-02 3.2478E-02 1.3385E-04 2.6430E-02 0.3764 0.8228 0.8097 5.0645E-03 5 6.24 10.00 9.9372E-05 5.3090E-03 5.4083E-03 3.8760E-05 4.3472E-03 0.3900 0.8188 0.7966 8.9161E-03 7 10.77 15.00 3.0992E-05 8.4705E-04 8.7804E-04 1.2659E-05 6.7779E-04 0.4085 0.8002 0.7575 1.8677E-02 9 15.52 20.00 1.0022E-05 1.3509E-04 1.4511E-04 4.5596E-06 1.0608E-04 0.4549 0.7853 0.6996 4.2984E-02 11 18.93 25.00 4.7540E-06 2.6096E-05 3.0849E-05 2.3227E-06 1.9876E-05 0.4886 0.7616 0.5690 1.1686E-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 0.28652 0.34589 0.34543 0.28589 0.35161 0.35184 0.29826 5.000 5.010 5.005 0.25930 0.35819 0.35711 0.25687 0.35758 0.35810 0.25519 10.000 10.010 10.005 0.23152 0.36259 0.36018 0.22424 0.36465 0.36591 0.21728 15.000 15.010 15.005 0.26312 0.37220 0.36835 0.24335 0.37853 0.38111 0.21224 20.000 20.010 20.005 0.18441 0.35497 0.34319 0.16585 0.35936 0.36806 0.14365 25.000 25.010 25.005 0.08836 0.29734 0.26511 0.08484 0.30583 0.33511 0.08179 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 5.91777E-02 6.82302E-05 1.16388E-03 1.23211E-03 4.11535E-04 0.019667 9 1 10.0 0.0 180.0 5.71229E-02 6.90618E-05 1.12593E-03 1.19499E-03 4.16551E-04 0.019711 9 4 10.0 45.0 135.0 5.75077E-02 6.88548E-05 1.13481E-03 1.20367E-03 4.15302E-04 0.019733 9 7 10.0 90.0 90.0 5.86642E-02 6.88626E-05 1.16055E-03 1.22941E-03 4.15349E-04 0.019783 8 1 20.0 0.0 180.0 5.50965E-02 6.96440E-05 1.10372E-03 1.17336E-03 4.20062E-04 0.020033 8 4 20.0 45.0 135.0 5.56074E-02 6.90985E-05 1.11537E-03 1.18447E-03 4.16772E-04 0.020058 8 7 20.0 90.0 90.0 5.73819E-02 6.92433E-05 1.14771E-03 1.21695E-03 4.17645E-04 0.020001 7 1 30.0 0.0 180.0 5.26556E-02 7.06998E-05 1.11737E-03 1.18807E-03 4.26430E-04 0.021220 7 4 30.0 45.0 135.0 5.31973E-02 7.08046E-05 1.13064E-03 1.20145E-03 4.27063E-04 0.021254 7 7 30.0 90.0 90.0 5.53196E-02 7.06447E-05 1.17450E-03 1.24514E-03 4.26098E-04 0.021231 6 1 40.0 0.0 180.0 4.98128E-02 7.17814E-05 1.23270E-03 1.30448E-03 4.32954E-04 0.024747 6 4 40.0 45.0 135.0 5.03334E-02 7.18314E-05 1.24370E-03 1.31553E-03 4.33255E-04 0.024709 6 7 40.0 90.0 90.0 5.25739E-02 7.17274E-05 1.30451E-03 1.37624E-03 4.32628E-04 0.024813 5 1 50.0 0.0 180.0 4.65876E-02 7.36939E-05 1.61106E-03 1.68475E-03 4.44490E-04 0.034581 5 4 50.0 45.0 135.0 4.70640E-02 7.33357E-05 1.63100E-03 1.70434E-03 4.42329E-04 0.034655 5 7 50.0 90.0 90.0 4.92609E-02 7.31907E-05 1.70962E-03 1.78281E-03 4.41455E-04 0.034705 4 1 60.0 0.0 180.0 4.30251E-02 7.38735E-05 2.67550E-03 2.74937E-03 4.45573E-04 0.062185 4 4 60.0 45.0 135.0 4.34506E-02 7.33702E-05 2.69528E-03 2.76865E-03 4.42537E-04 0.062031 4 7 60.0 90.0 90.0 4.55039E-02 7.39143E-05 2.84609E-03 2.92000E-03 4.45819E-04 0.062546 3 1 70.0 0.0 180.0 3.91945E-02 7.04144E-05 5.38200E-03 5.45241E-03 4.24709E-04 0.137315 3 4 70.0 45.0 135.0 3.95711E-02 7.05863E-05 5.45093E-03 5.52152E-03 4.25746E-04 0.137750 3 7 70.0 90.0 90.0 4.14285E-02 7.07755E-05 5.79828E-03 5.86906E-03 4.26887E-04 0.139959 2 1 80.0 0.0 180.0 3.51834E-02 6.20780E-05 1.10546E-02 1.11167E-02 3.74427E-04 0.314199 2 4 80.0 45.0 135.0 3.55177E-02 6.19916E-05 1.13952E-02 1.14572E-02 3.73906E-04 0.320832 2 7 80.0 90.0 90.0 3.71600E-02 6.18250E-05 1.20606E-02 1.21224E-02 3.72901E-04 0.324558 1 1 87.5 0.0 180.0 3.21204E-02 5.17754E-05 1.84329E-02 1.84847E-02 3.12287E-04 0.573869 1 4 87.5 45.0 135.0 3.24288E-02 4.91058E-05 1.93817E-02 1.94308E-02 2.96185E-04 0.597670 1 7 87.5 90.0 90.0 3.39102E-02 5.38856E-05 2.02643E-02 2.03182E-02 3.25014E-04 0.597587 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 1.232E-03 5.918E-02 2.530E-02 2.711E-02 3.864E-02 7.432E-03 7.897E+00 6.823E-05 4.115E-04 1 0.00 0.00 1.266E-04 1.044E-01 5.056E-04 5.438E-04 6.264E-04 8.082E-04 4.431E+00 3 2.81 5.00 3.035E-05 2.233E-02 1.313E-04 1.369E-04 1.523E-04 1.148E-03 4.410E+00 5 6.24 10.00 9.156E-06 4.293E-03 3.430E-05 3.552E-05 3.820E-05 2.106E-03 4.234E+00 7 10.77 15.00 3.193E-06 6.968E-04 9.747E-06 9.981E-06 1.039E-05 4.711E-03 3.964E+00 9 15.52 20.00 1.320E-06 1.086E-04 2.376E-06 2.398E-06 2.430E-06 1.244E-02 3.455E+00 11 18.93 25.00 7.313E-07 2.052E-05 8.589E-07 8.599E-07 8.613E-07 3.680E-02 3.176E+00 Waveband 23 of 30 completed in 6.8 sec. * * * * * Output for wavelength band 24 (630.0 to 640.0 nm; nominal wavelength = 635.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 64.8 m at 635.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 630.0 nm to 640.0 nm: Ed(diffuse) = 2.552E-01 Ed(direct) = 4.041E-01 Ed(total) = 6.594E-01 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 1.648E-01 Ed(direct) = 0.000E+00 Ed(total) = 1.648E-01 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 0.0053 0.0000 0.0004 0.3070 3 2.898 5.000 0.3012 0.0071 0.0000 0.0005 0.3088 5 6.409 10.000 0.3012 0.0111 0.0000 0.0008 0.3131 7 11.025 15.000 0.3012 0.0179 0.0000 0.0011 0.3201 9 15.869 20.000 0.3012 0.0134 0.0000 0.0009 0.3155 11 19.364 25.000 0.3012 0.0044 0.0000 0.0004 0.3060 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 0.1152 0.1191 0.0000 0.2353 3 2.898 5.000 0.0010 0.1411 0.1653 0.0000 0.3074 5 6.409 10.000 0.0010 0.1933 0.2775 0.0000 0.4718 7 11.025 15.000 0.0010 0.2634 0.4710 0.0000 0.7354 9 15.869 20.000 0.0010 0.2193 0.3432 0.0000 0.5635 11 19.364 25.000 0.0010 0.1005 0.0956 0.0000 0.1971 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 0.00162 0.00021 0.00000 0.00234 3 2.898 5.000 0.00051 0.00198 0.00029 0.00000 0.00278 5 6.409 10.000 0.00051 0.00271 0.00049 0.00000 0.00371 7 11.025 15.000 0.00051 0.00369 0.00083 0.00000 0.00504 9 15.869 20.000 0.00051 0.00307 0.00060 0.00000 0.00419 11 19.364 25.000 0.00051 0.00141 0.00017 0.00000 0.00209 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 0.3070 0.2353 0.5423 0.4339 0.00234 0.00994 3 2.898 5.000 0.3088 0.3074 0.6162 0.4989 0.00278 0.00906 5 6.409 10.000 0.3131 0.4718 0.7850 0.6011 0.00371 0.00787 7 11.025 15.000 0.3201 0.7354 1.0555 0.6967 0.00504 0.00685 9 15.869 20.000 0.3155 0.5635 0.8790 0.6411 0.00419 0.00744 11 19.364 25.000 0.3060 0.1971 0.5031 0.3918 0.00209 0.01061 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.1896E-01 8 20.00 4.8538E-01 7 30.00 2.2210E-01 6 40.00 8.6229E-02 5 50.00 3.1467E-02 4 60.00 1.1872E-02 3 70.00 4.9539E-03 2 80.00 2.3633E-03 1 87.50 1.4704E-03 1 92.50 1.1071E-03 2 100.00 7.8849E-04 3 110.00 5.5722E-04 4 120.00 4.3783E-04 5 130.00 3.7489E-04 6 140.00 3.4105E-04 7 150.00 3.2278E-04 8 160.00 3.1315E-04 9 170.00 3.0850E-04 10 180.00 3.0678E-04 Asymptotic AOP values are MUu(inf) = 0.3832 MUd(inf) = 0.8864 MU(inf) = 0.8792 R(inf) = 0.0025 Lu(inf)/Ed(inf) = 0.000587 (1/sr) k(inf) = 0.3481 (1/m) absorp(check) = 0.3060 = 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 3.9297E-02 3.0453E-01 3.4383E-01 9.6551E-03 1.6484E-01 0.2457 0.5413 0.4513 5.8573E-02 1 0.00 0.00 1.3573E-03 1.8749E-01 1.8885E-01 5.1262E-04 1.5569E-01 0.3777 0.8304 0.8217 3.2924E-03 3 2.90 5.00 2.9441E-04 2.8638E-02 2.8932E-02 1.1102E-04 2.3639E-02 0.3771 0.8255 0.8132 4.6965E-03 5 6.41 10.00 7.7274E-05 4.2693E-03 4.3465E-03 3.0532E-05 3.5119E-03 0.3951 0.8226 0.8010 8.6938E-03 7 11.03 15.00 2.4107E-05 6.1745E-04 6.4156E-04 1.0115E-05 4.9596E-04 0.4196 0.8032 0.7573 2.0396E-02 9 15.87 20.00 8.4116E-06 9.1054E-05 9.9465E-05 3.9069E-06 7.1237E-05 0.4645 0.7824 0.6769 5.4844E-02 11 19.36 25.00 4.2169E-06 1.7364E-05 2.1581E-05 2.0705E-06 1.2864E-05 0.4910 0.7408 0.5001 1.6095E-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 0.31147 0.36825 0.36784 0.30754 0.37315 0.37336 0.31831 5.000 5.010 5.005 0.27608 0.37926 0.37821 0.27215 0.37823 0.37874 0.26776 10.000 10.010 10.005 0.23883 0.38279 0.38023 0.22889 0.38475 0.38612 0.21804 15.000 15.010 15.005 0.25277 0.39084 0.38565 0.23125 0.39776 0.40123 0.20046 20.000 20.010 20.005 0.16764 0.36611 0.34931 0.15250 0.37330 0.38613 0.13476 25.000 25.010 25.005 0.08687 0.29034 0.25055 0.08433 0.30527 0.34771 0.08194 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 5.88368E-02 6.21138E-05 1.15717E-03 1.21928E-03 3.76814E-04 0.019667 9 1 10.0 0.0 180.0 5.67938E-02 6.28716E-05 1.11944E-03 1.18232E-03 3.81411E-04 0.019711 9 4 10.0 45.0 135.0 5.71764E-02 6.26834E-05 1.12828E-03 1.19096E-03 3.80269E-04 0.019733 9 7 10.0 90.0 90.0 5.83262E-02 6.26911E-05 1.15386E-03 1.21656E-03 3.80316E-04 0.019783 8 1 20.0 0.0 180.0 5.47791E-02 6.34048E-05 1.09736E-03 1.16077E-03 3.84646E-04 0.020033 8 4 20.0 45.0 135.0 5.52871E-02 6.29086E-05 1.10894E-03 1.17185E-03 3.81636E-04 0.020058 8 7 20.0 90.0 90.0 5.70514E-02 6.30414E-05 1.14110E-03 1.20414E-03 3.82441E-04 0.020001 7 1 30.0 0.0 180.0 5.23523E-02 6.43711E-05 1.11094E-03 1.17531E-03 3.90508E-04 0.021220 7 4 30.0 45.0 135.0 5.28908E-02 6.44671E-05 1.12413E-03 1.18860E-03 3.91090E-04 0.021254 7 7 30.0 90.0 90.0 5.50009E-02 6.43228E-05 1.16773E-03 1.23206E-03 3.90215E-04 0.021231 6 1 40.0 0.0 180.0 4.95259E-02 6.53665E-05 1.22560E-03 1.29096E-03 3.96547E-04 0.024747 6 4 40.0 45.0 135.0 5.00434E-02 6.54128E-05 1.23653E-03 1.30195E-03 3.96827E-04 0.024709 6 7 40.0 90.0 90.0 5.22710E-02 6.53201E-05 1.29699E-03 1.36231E-03 3.96265E-04 0.024813 5 1 50.0 0.0 180.0 4.63192E-02 6.71233E-05 1.60178E-03 1.66890E-03 4.07204E-04 0.034581 5 4 50.0 45.0 135.0 4.67929E-02 6.67980E-05 1.62161E-03 1.68840E-03 4.05231E-04 0.034655 5 7 50.0 90.0 90.0 4.89771E-02 6.66686E-05 1.69977E-03 1.76644E-03 4.04445E-04 0.034705 4 1 60.0 0.0 180.0 4.27773E-02 6.73054E-05 2.66009E-03 2.72739E-03 4.08309E-04 0.062185 4 4 60.0 45.0 135.0 4.32003E-02 6.68479E-05 2.67975E-03 2.74660E-03 4.05533E-04 0.062031 4 7 60.0 90.0 90.0 4.52418E-02 6.73470E-05 2.82969E-03 2.89704E-03 4.08561E-04 0.062546 3 1 70.0 0.0 180.0 3.89687E-02 6.41813E-05 5.35100E-03 5.41518E-03 3.89356E-04 0.137315 3 4 70.0 45.0 135.0 3.93432E-02 6.43393E-05 5.41953E-03 5.48387E-03 3.90315E-04 0.137750 3 7 70.0 90.0 90.0 4.11898E-02 6.45160E-05 5.76488E-03 5.82940E-03 3.91387E-04 0.139959 2 1 80.0 0.0 180.0 3.49807E-02 5.66098E-05 1.09909E-02 1.10475E-02 3.43424E-04 0.314199 2 4 80.0 45.0 135.0 3.53131E-02 5.65326E-05 1.13296E-02 1.13861E-02 3.42956E-04 0.320832 2 7 80.0 90.0 90.0 3.69460E-02 5.63845E-05 1.19911E-02 1.20475E-02 3.42057E-04 0.324558 1 1 87.5 0.0 180.0 3.19354E-02 4.72432E-05 1.83267E-02 1.83740E-02 2.86601E-04 0.573869 1 4 87.5 45.0 135.0 3.22420E-02 4.48083E-05 1.92701E-02 1.93149E-02 2.71830E-04 0.597670 1 7 87.5 90.0 90.0 3.37149E-02 4.91745E-05 2.01476E-02 2.01968E-02 2.98318E-04 0.597587 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 1.219E-03 5.884E-02 2.515E-02 2.696E-02 3.842E-02 7.397E-03 7.919E+00 6.211E-05 3.768E-04 1 0.00 0.00 1.152E-04 1.038E-01 4.739E-04 5.108E-04 5.906E-04 7.402E-04 4.448E+00 3 2.90 5.00 2.533E-05 2.027E-02 1.088E-04 1.134E-04 1.260E-04 1.072E-03 4.382E+00 5 6.41 10.00 7.384E-06 3.545E-03 2.611E-05 2.700E-05 2.896E-05 2.103E-03 4.135E+00 7 11.03 15.00 2.650E-06 5.214E-04 7.133E-06 7.288E-06 7.557E-06 5.343E-03 3.817E+00 9 15.87 20.00 1.157E-06 7.386E-05 1.849E-06 1.862E-06 1.881E-06 1.624E-02 3.377E+00 11 19.36 25.00 6.562E-07 1.296E-05 7.442E-07 7.447E-07 7.454E-07 5.101E-02 3.155E+00 Waveband 24 of 30 completed in 7.0 sec. * * * * * Output for wavelength band 25 (640.0 to 650.0 nm; nominal wavelength = 645.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 63.0 m at 645.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 640.0 nm to 650.0 nm: Ed(diffuse) = 2.464E-01 Ed(direct) = 3.942E-01 Ed(total) = 6.407E-01 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 1.602E-01 Ed(direct) = 0.000E+00 Ed(total) = 1.602E-01 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 0.0056 0.0000 0.0004 0.3310 3 3.013 5.000 0.3250 0.0074 0.0000 0.0005 0.3329 5 6.639 10.000 0.3250 0.0116 0.0000 0.0007 0.3372 7 11.373 15.000 0.3250 0.0183 0.0000 0.0009 0.3443 9 16.336 20.000 0.3250 0.0139 0.0000 0.0008 0.3397 11 19.947 25.000 0.3250 0.0047 0.0000 0.0003 0.3300 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 0.1147 0.1185 0.0000 0.2342 3 3.013 5.000 0.0010 0.1406 0.1647 0.0000 0.3062 5 6.639 10.000 0.0010 0.1930 0.2770 0.0000 0.4710 7 11.373 15.000 0.0010 0.2634 0.4710 0.0000 0.7353 9 16.336 20.000 0.0010 0.2191 0.3429 0.0000 0.5629 11 19.947 25.000 0.0010 0.1000 0.0951 0.0000 0.1960 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 0.00161 0.00021 0.00000 0.00230 3 3.013 5.000 0.00048 0.00197 0.00029 0.00000 0.00274 5 6.639 10.000 0.00048 0.00271 0.00049 0.00000 0.00367 7 11.373 15.000 0.00048 0.00369 0.00083 0.00000 0.00500 9 16.336 20.000 0.00048 0.00307 0.00060 0.00000 0.00416 11 19.947 25.000 0.00048 0.00140 0.00017 0.00000 0.00205 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 0.3310 0.2342 0.5652 0.4143 0.00230 0.00981 3 3.013 5.000 0.3329 0.3062 0.6391 0.4792 0.00274 0.00895 5 6.639 10.000 0.3372 0.4710 0.8082 0.5827 0.00367 0.00780 7 11.373 15.000 0.3443 0.7353 1.0796 0.6811 0.00500 0.00680 9 16.336 20.000 0.3397 0.5629 0.9026 0.6237 0.00416 0.00738 11 19.947 25.000 0.3300 0.1960 0.5260 0.3726 0.00205 0.01046 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.1023E-01 8 20.00 4.6767E-01 7 30.00 2.0671E-01 6 40.00 7.7531E-02 5 50.00 2.7526E-02 4 60.00 1.0214E-02 3 70.00 4.2344E-03 2 80.00 2.0182E-03 1 87.50 1.2566E-03 1 92.50 9.4744E-04 2 100.00 6.7557E-04 3 110.00 4.7812E-04 4 120.00 3.7639E-04 5 130.00 3.2283E-04 6 140.00 2.9407E-04 7 150.00 2.7855E-04 8 160.00 2.7039E-04 9 170.00 2.6646E-04 10 180.00 2.6501E-04 Asymptotic AOP values are MUu(inf) = 0.3840 MUd(inf) = 0.8911 MU(inf) = 0.8846 R(inf) = 0.0022 Lu(inf)/Ed(inf) = 0.000530 (1/sr) k(inf) = 0.3731 (1/m) absorp(check) = 0.3300 = 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 3.8146E-02 2.9589E-01 3.3403E-01 9.3623E-03 1.6016E-01 0.2454 0.5413 0.4515 5.8455E-02 1 0.00 0.00 1.2013E-03 1.8208E-01 1.8328E-01 4.5170E-04 1.5125E-01 0.3760 0.8307 0.8228 2.9865E-03 3 3.01 5.00 2.2826E-04 2.4075E-02 2.4303E-02 8.6544E-05 1.9952E-02 0.3791 0.8287 0.8174 4.3376E-03 5 6.64 10.00 5.6316E-05 3.1337E-03 3.1900E-03 2.2765E-05 2.5917E-03 0.4042 0.8271 0.8053 8.7838E-03 7 11.37 15.00 1.8219E-05 4.0018E-04 4.1840E-04 7.9328E-06 3.2240E-04 0.4354 0.8056 0.7516 2.4606E-02 9 16.34 20.00 7.0599E-06 5.4331E-05 6.1391E-05 3.3474E-06 4.1974E-05 0.4741 0.7726 0.6292 7.9750E-02 11 19.95 25.00 3.7211E-06 1.0747E-05 1.4468E-05 1.8358E-06 7.5544E-06 0.4933 0.7030 0.3953 2.4301E-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 0.34427 0.39809 0.39774 0.33618 0.40192 0.40212 0.34458 5.000 5.010 5.005 0.29660 0.40715 0.40611 0.28998 0.40564 0.40614 0.28133 10.000 10.010 10.005 0.24244 0.40913 0.40618 0.22870 0.41105 0.41267 0.21306 15.000 15.010 15.005 0.23270 0.41331 0.40544 0.21125 0.42155 0.42686 0.18373 20.000 20.010 20.005 0.14992 0.37363 0.34788 0.13928 0.38638 0.40783 0.12659 25.000 25.010 25.005 0.08547 0.26873 0.22156 0.08373 0.29219 0.35920 0.08190 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 5.71674E-02 5.45779E-05 1.12434E-03 1.17891E-03 3.40767E-04 0.019667 9 1 10.0 0.0 180.0 5.51824E-02 5.52432E-05 1.08768E-03 1.14292E-03 3.44920E-04 0.019711 9 4 10.0 45.0 135.0 5.55540E-02 5.50780E-05 1.09626E-03 1.15134E-03 3.43889E-04 0.019733 9 7 10.0 90.0 90.0 5.66713E-02 5.50851E-05 1.12112E-03 1.17621E-03 3.43933E-04 0.019783 8 1 20.0 0.0 180.0 5.32248E-02 5.57115E-05 1.06623E-03 1.12194E-03 3.47844E-04 0.020033 8 4 20.0 45.0 135.0 5.37184E-02 5.52757E-05 1.07748E-03 1.13275E-03 3.45123E-04 0.020058 8 7 20.0 90.0 90.0 5.54326E-02 5.53928E-05 1.10872E-03 1.16411E-03 3.45854E-04 0.020001 7 1 30.0 0.0 180.0 5.08668E-02 5.65606E-05 1.07941E-03 1.13597E-03 3.53146E-04 0.021220 7 4 30.0 45.0 135.0 5.13901E-02 5.66452E-05 1.09223E-03 1.14888E-03 3.53674E-04 0.021254 7 7 30.0 90.0 90.0 5.34403E-02 5.65191E-05 1.13460E-03 1.19112E-03 3.52886E-04 0.021231 6 1 40.0 0.0 180.0 4.81206E-02 5.74366E-05 1.19082E-03 1.24826E-03 3.58615E-04 0.024747 6 4 40.0 45.0 135.0 4.86235E-02 5.74776E-05 1.20145E-03 1.25892E-03 3.58871E-04 0.024709 6 7 40.0 90.0 90.0 5.07879E-02 5.73969E-05 1.26019E-03 1.31759E-03 3.58368E-04 0.024813 5 1 50.0 0.0 180.0 4.50050E-02 5.89848E-05 1.55633E-03 1.61531E-03 3.68282E-04 0.034581 5 4 50.0 45.0 135.0 4.54651E-02 5.86994E-05 1.57559E-03 1.63429E-03 3.66499E-04 0.034655 5 7 50.0 90.0 90.0 4.75875E-02 5.85866E-05 1.65154E-03 1.71013E-03 3.65795E-04 0.034705 4 1 60.0 0.0 180.0 4.15635E-02 5.91517E-05 2.58461E-03 2.64376E-03 3.69324E-04 0.062185 4 4 60.0 45.0 135.0 4.19745E-02 5.87501E-05 2.60372E-03 2.66247E-03 3.66816E-04 0.062031 4 7 60.0 90.0 90.0 4.39581E-02 5.91899E-05 2.74940E-03 2.80859E-03 3.69562E-04 0.062546 3 1 70.0 0.0 180.0 3.78630E-02 5.64197E-05 5.19917E-03 5.25558E-03 3.52266E-04 0.137315 3 4 70.0 45.0 135.0 3.82268E-02 5.65591E-05 5.26575E-03 5.32231E-03 3.53137E-04 0.137750 3 7 70.0 90.0 90.0 4.00211E-02 5.67161E-05 5.60131E-03 5.65802E-03 3.54117E-04 0.139959 2 1 80.0 0.0 180.0 3.39882E-02 4.97789E-05 1.06791E-02 1.07288E-02 3.10803E-04 0.314199 2 4 80.0 45.0 135.0 3.43112E-02 4.97118E-05 1.10081E-02 1.10578E-02 3.10384E-04 0.320832 2 7 80.0 90.0 90.0 3.58977E-02 4.95830E-05 1.16509E-02 1.17005E-02 3.09580E-04 0.324558 1 1 87.5 0.0 180.0 3.10293E-02 4.15606E-05 1.78067E-02 1.78483E-02 2.59491E-04 0.573869 1 4 87.5 45.0 135.0 3.13271E-02 3.94191E-05 1.87233E-02 1.87627E-02 2.46120E-04 0.597670 1 7 87.5 90.0 90.0 3.27582E-02 4.32623E-05 1.95759E-02 1.96192E-02 2.70115E-04 0.597587 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 1.179E-03 5.717E-02 2.444E-02 2.619E-02 3.732E-02 7.361E-03 7.941E+00 5.458E-05 3.408E-04 1 0.00 0.00 1.013E-04 1.009E-01 4.300E-04 4.645E-04 5.397E-04 6.695E-04 4.461E+00 3 3.01 5.00 2.000E-05 1.744E-02 8.386E-05 8.736E-05 9.686E-05 1.002E-03 4.327E+00 5 6.64 10.00 5.714E-06 2.691E-03 1.822E-05 1.881E-05 2.007E-05 2.205E-03 3.984E+00 7 11.37 15.00 2.178E-06 3.480E-04 4.896E-06 4.985E-06 5.137E-06 6.757E-03 3.641E+00 9 16.34 20.00 1.013E-06 4.372E-05 1.428E-06 1.434E-06 1.443E-06 2.414E-02 3.303E+00 11 19.95 25.00 5.858E-07 7.090E-06 6.427E-07 6.429E-07 6.432E-07 7.754E-02 3.134E+00 Waveband 25 of 30 completed in 7.2 sec. * * * * * Output for wavelength band 26 (650.0 to 660.0 nm; nominal wavelength = 655.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 60.0 m at 655.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 650.0 nm to 660.0 nm: Ed(diffuse) = 2.349E-01 Ed(direct) = 3.795E-01 Ed(total) = 6.144E-01 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 1.536E-01 Ed(direct) = 0.000E+00 Ed(total) = 1.536E-01 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 0.0064 0.0000 0.0003 0.3778 3 3.241 5.000 0.3710 0.0085 0.0000 0.0004 0.3799 5 7.098 10.000 0.3710 0.0131 0.0000 0.0006 0.3847 7 12.070 15.000 0.3710 0.0207 0.0000 0.0008 0.3925 9 17.272 20.000 0.3710 0.0157 0.0000 0.0007 0.3874 11 21.114 25.000 0.3710 0.0054 0.0000 0.0003 0.3766 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 0.1142 0.1179 0.0000 0.2330 3 3.241 5.000 0.0009 0.1401 0.1641 0.0000 0.3051 5 7.098 10.000 0.0009 0.1926 0.2766 0.0000 0.4701 7 12.070 15.000 0.0009 0.2634 0.4710 0.0000 0.7353 9 17.272 20.000 0.0009 0.2189 0.3425 0.0000 0.5623 11 21.114 25.000 0.0009 0.0994 0.0946 0.0000 0.1949 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 0.00160 0.00021 0.00000 0.00226 3 3.241 5.000 0.00045 0.00196 0.00029 0.00000 0.00270 5 7.098 10.000 0.00045 0.00270 0.00049 0.00000 0.00364 7 12.070 15.000 0.00045 0.00369 0.00083 0.00000 0.00497 9 17.272 20.000 0.00045 0.00307 0.00060 0.00000 0.00412 11 21.114 25.000 0.00045 0.00139 0.00017 0.00000 0.00201 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 0.3778 0.2330 0.6108 0.3815 0.00226 0.00969 3 3.241 5.000 0.3799 0.3051 0.6850 0.4454 0.00270 0.00886 5 7.098 10.000 0.3847 0.4701 0.8548 0.5500 0.00364 0.00774 7 12.070 15.000 0.3925 0.7353 1.1278 0.6520 0.00497 0.00676 9 17.272 20.000 0.3874 0.5623 0.9497 0.5921 0.00412 0.00733 11 21.114 25.000 0.3766 0.1949 0.5715 0.3410 0.00201 0.01032 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 7.9446E-01 8 20.00 4.3707E-01 7 30.00 1.8167E-01 6 40.00 6.4205E-02 5 50.00 2.1789E-02 4 60.00 7.8876E-03 3 70.00 3.2458E-03 2 80.00 1.5489E-03 1 87.50 9.6707E-04 1 92.50 7.3155E-04 2 100.00 5.2330E-04 3 110.00 3.7191E-04 4 120.00 2.9414E-04 5 130.00 2.5330E-04 6 140.00 2.3142E-04 7 150.00 2.1967E-04 8 160.00 2.1352E-04 9 170.00 2.1057E-04 10 180.00 2.0948E-04 Asymptotic AOP values are MUu(inf) = 0.3861 MUd(inf) = 0.8988 MU(inf) = 0.8932 R(inf) = 0.0019 Lu(inf)/Ed(inf) = 0.000453 (1/sr) k(inf) = 0.4217 (1/m) absorp(check) = 0.3767 = 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 3.6536E-02 2.8376E-01 3.2029E-01 8.9546E-03 1.5360E-01 0.2451 0.5413 0.4516 5.8300E-02 1 0.00 0.00 9.9560E-04 1.7449E-01 1.7548E-01 3.7295E-04 1.4501E-01 0.3746 0.8311 0.8242 2.5718E-03 3 3.24 5.00 1.5077E-04 1.7446E-02 1.7597E-02 5.8495E-05 1.4558E-02 0.3880 0.8344 0.8239 4.0181E-03 5 7.10 10.00 3.7376E-05 1.7493E-03 1.7867E-03 1.6128E-05 1.4582E-03 0.4315 0.8336 0.8071 1.1060E-02 7 12.07 15.00 1.4953E-05 1.8006E-04 1.9501E-04 6.9155E-06 1.4392E-04 0.4625 0.7993 0.7026 4.8051E-02 9 17.27 20.00 6.5240E-06 2.3731E-05 3.0255E-05 3.1354E-06 1.7074E-05 0.4806 0.7195 0.4607 1.8364E-01 11 21.11 25.00 3.2530E-06 5.9311E-06 9.1841E-06 1.6105E-06 3.6794E-06 0.4951 0.6204 0.2253 4.3771E-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 0.40784 0.45612 0.45584 0.39031 0.45793 0.45810 0.39297 5.000 5.010 5.005 0.32355 0.46107 0.45989 0.30900 0.45878 0.45939 0.28914 10.000 10.010 10.005 0.21525 0.45899 0.45388 0.19551 0.46158 0.46456 0.17594 15.000 15.010 15.005 0.19035 0.44391 0.42444 0.17801 0.45953 0.47377 0.16407 20.000 20.010 20.005 0.14897 0.34751 0.30466 0.14511 0.37763 0.43000 0.13833 25.000 25.010 25.005 0.08537 0.22003 0.17231 0.08406 0.24231 0.36567 0.08267 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 5.48238E-02 4.50938E-05 1.07824E-03 1.12334E-03 2.93587E-04 0.019667 9 1 10.0 0.0 180.0 5.29201E-02 4.56394E-05 1.04309E-03 1.08873E-03 2.97139E-04 0.019711 9 4 10.0 45.0 135.0 5.32766E-02 4.55028E-05 1.05132E-03 1.09682E-03 2.96250E-04 0.019733 9 7 10.0 90.0 90.0 5.43480E-02 4.55085E-05 1.07516E-03 1.12067E-03 2.96286E-04 0.019783 8 1 20.0 0.0 180.0 5.10428E-02 4.60175E-05 1.02252E-03 1.06853E-03 2.99600E-04 0.020033 8 4 20.0 45.0 135.0 5.15162E-02 4.56574E-05 1.03331E-03 1.07896E-03 2.97256E-04 0.020058 8 7 20.0 90.0 90.0 5.31601E-02 4.57537E-05 1.06327E-03 1.10902E-03 2.97883E-04 0.020001 7 1 30.0 0.0 180.0 4.87815E-02 4.67071E-05 1.03516E-03 1.08187E-03 3.04090E-04 0.021220 7 4 30.0 45.0 135.0 4.92833E-02 4.67768E-05 1.04746E-03 1.09423E-03 3.04544E-04 0.021254 7 7 30.0 90.0 90.0 5.12494E-02 4.66718E-05 1.08809E-03 1.13476E-03 3.03861E-04 0.021231 6 1 40.0 0.0 180.0 4.61479E-02 4.74099E-05 1.14200E-03 1.18941E-03 3.08666E-04 0.024747 6 4 40.0 45.0 135.0 4.66301E-02 4.74434E-05 1.15219E-03 1.19964E-03 3.08884E-04 0.024709 6 7 40.0 90.0 90.0 4.87058E-02 4.73751E-05 1.20853E-03 1.25590E-03 3.08439E-04 0.024813 5 1 50.0 0.0 180.0 4.31599E-02 4.86667E-05 1.49252E-03 1.54119E-03 3.16848E-04 0.034581 5 4 50.0 45.0 135.0 4.36013E-02 4.84305E-05 1.51100E-03 1.55943E-03 3.15311E-04 0.034655 5 7 50.0 90.0 90.0 4.56366E-02 4.83349E-05 1.58383E-03 1.63217E-03 3.14688E-04 0.034705 4 1 60.0 0.0 180.0 3.98596E-02 4.87834E-05 2.47865E-03 2.52743E-03 3.17608E-04 0.062185 4 4 60.0 45.0 135.0 4.02537E-02 4.84514E-05 2.49698E-03 2.54543E-03 3.15446E-04 0.062031 4 7 60.0 90.0 90.0 4.21560E-02 4.88105E-05 2.63669E-03 2.68550E-03 3.17785E-04 0.062546 3 1 70.0 0.0 180.0 3.63108E-02 4.65106E-05 4.98602E-03 5.03253E-03 3.02811E-04 0.137315 3 4 70.0 45.0 135.0 3.66597E-02 4.66246E-05 5.04988E-03 5.09650E-03 3.03553E-04 0.137750 3 7 70.0 90.0 90.0 3.83804E-02 4.67495E-05 5.37168E-03 5.41843E-03 3.04366E-04 0.139959 2 1 80.0 0.0 180.0 3.25948E-02 4.10234E-05 1.02413E-02 1.02823E-02 2.67086E-04 0.314199 2 4 80.0 45.0 135.0 3.29045E-02 4.09669E-05 1.05568E-02 1.05978E-02 2.66718E-04 0.320832 2 7 80.0 90.0 90.0 3.44260E-02 4.08564E-05 1.11732E-02 1.12141E-02 2.65999E-04 0.324558 1 1 87.5 0.0 180.0 2.97572E-02 3.42447E-05 1.70767E-02 1.71110E-02 2.22953E-04 0.573869 1 4 87.5 45.0 135.0 3.00429E-02 3.24794E-05 1.79557E-02 1.79882E-02 2.11459E-04 0.597670 1 7 87.5 90.0 90.0 3.14153E-02 3.56417E-05 1.87734E-02 1.88090E-02 2.32048E-04 0.597587 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 1.123E-03 5.482E-02 2.343E-02 2.511E-02 3.579E-02 7.314E-03 7.971E+00 4.509E-05 2.936E-04 1 0.00 0.00 8.366E-05 9.673E-02 3.706E-04 4.019E-04 4.702E-04 5.769E-04 4.458E+00 3 3.24 5.00 1.408E-05 1.319E-02 5.342E-05 5.555E-05 6.122E-05 9.670E-04 4.155E+00 5 7.10 10.00 4.413E-06 1.593E-03 1.037E-05 1.064E-05 1.120E-05 3.026E-03 3.655E+00 7 12.07 15.00 2.013E-06 1.605E-04 3.263E-06 3.293E-06 3.344E-06 1.398E-02 3.436E+00 9 17.27 20.00 9.533E-07 1.651E-05 1.219E-06 1.221E-06 1.223E-06 5.583E-02 3.289E+00 11 21.11 25.00 5.156E-07 2.596E-06 5.528E-07 5.528E-07 5.529E-07 1.401E-01 3.123E+00 Waveband 26 of 30 completed in 7.6 sec. * * * * * Output for wavelength band 27 (660.0 to 670.0 nm; nominal wavelength = 665.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 56.7 m at 665.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 660.0 nm to 670.0 nm: Ed(diffuse) = 2.464E-01 Ed(direct) = 4.019E-01 Ed(total) = 6.483E-01 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 1.621E-01 Ed(direct) = 0.000E+00 Ed(total) = 1.621E-01 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 0.0094 0.0000 0.0003 0.4387 3 3.543 5.000 0.4290 0.0124 0.0000 0.0004 0.4418 5 7.710 10.000 0.4290 0.0193 0.0000 0.0005 0.4488 7 13.010 15.000 0.4290 0.0306 0.0000 0.0007 0.4604 9 18.544 20.000 0.4290 0.0232 0.0000 0.0006 0.4528 11 22.696 25.000 0.4290 0.0078 0.0000 0.0002 0.4371 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 0.1136 0.1174 0.0000 0.2319 3 3.543 5.000 0.0008 0.1396 0.1635 0.0000 0.3040 5 7.710 10.000 0.0008 0.1923 0.2761 0.0000 0.4693 7 13.010 15.000 0.0008 0.2634 0.4710 0.0000 0.7352 9 18.544 20.000 0.0008 0.2187 0.3422 0.0000 0.5617 11 22.696 25.000 0.0008 0.0989 0.0941 0.0000 0.1938 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 0.00159 0.00021 0.00000 0.00222 3 3.543 5.000 0.00042 0.00196 0.00029 0.00000 0.00267 5 7.710 10.000 0.00042 0.00270 0.00049 0.00000 0.00360 7 13.010 15.000 0.00042 0.00369 0.00083 0.00000 0.00494 9 18.544 20.000 0.00042 0.00307 0.00060 0.00000 0.00409 11 22.696 25.000 0.00042 0.00139 0.00017 0.00000 0.00197 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 0.4387 0.2319 0.6706 0.3458 0.00222 0.00958 3 3.543 5.000 0.4418 0.3040 0.7458 0.4076 0.00267 0.00877 5 7.710 10.000 0.4488 0.4693 0.9181 0.5111 0.00360 0.00768 7 13.010 15.000 0.4604 0.7352 1.1956 0.6149 0.00494 0.00672 9 18.544 20.000 0.4528 0.5617 1.0145 0.5537 0.00409 0.00728 11 22.696 25.000 0.4371 0.1938 0.6309 0.3072 0.00197 0.01018 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 7.7522E-01 8 20.00 4.0215E-01 7 30.00 1.5541E-01 6 40.00 5.1332E-02 5 50.00 1.6605E-02 4 60.00 5.8737E-03 3 70.00 2.4070E-03 2 80.00 1.1527E-03 1 87.50 7.2242E-04 1 92.50 5.4850E-04 2 100.00 3.9380E-04 3 110.00 2.8123E-04 4 120.00 2.2359E-04 5 130.00 1.9339E-04 6 140.00 1.7725E-04 7 150.00 1.6862E-04 8 160.00 1.6413E-04 9 170.00 1.6199E-04 10 180.00 1.6119E-04 Asymptotic AOP values are MUu(inf) = 0.3885 MUd(inf) = 0.9068 MU(inf) = 0.9021 R(inf) = 0.0016 Lu(inf)/Ed(inf) = 0.000381 (1/sr) k(inf) = 0.4846 (1/m) absorp(check) = 0.4371 = 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 3.8527E-02 2.9942E-01 3.3795E-01 9.4363E-03 1.6208E-01 0.2449 0.5413 0.4517 5.8221E-02 1 0.00 0.00 9.3883E-04 1.8403E-01 1.8497E-01 3.5565E-04 1.5299E-01 0.3788 0.8313 0.8252 2.3246E-03 3 3.54 5.00 1.3985E-04 1.2827E-02 1.2966E-02 5.9650E-05 1.0774E-02 0.4265 0.8400 0.8263 5.5362E-03 5 7.71 10.00 6.2214E-05 9.4828E-04 1.0105E-03 2.9805E-05 7.8364E-04 0.4791 0.8264 0.7460 3.8034E-02 7 13.01 15.00 3.9336E-05 1.0650E-04 1.4583E-04 1.8705E-05 7.3649E-05 0.4755 0.6916 0.3768 2.5397E-01 9 18.54 20.00 1.5945E-05 2.7212E-05 4.3157E-05 7.5174E-06 1.5657E-05 0.4715 0.5753 0.1886 4.8014E-01 11 22.70 25.00 5.0936E-06 8.4284E-06 1.3522E-05 2.5036E-06 4.8014E-06 0.4915 0.5697 0.1699 5.2144E-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 0.47206 0.53174 0.53144 0.43673 0.53089 0.53111 0.42330 5.000 5.010 5.005 0.25500 0.52981 0.52685 0.22290 0.52733 0.52903 0.18795 10.000 10.010 10.005 0.08566 0.50369 0.47790 0.07745 0.51580 0.53317 0.07511 15.000 15.010 15.005 0.17170 0.33248 0.28909 0.17282 0.39108 0.46549 0.17358 20.000 20.010 20.005 0.20755 0.21915 0.21486 0.21055 0.23885 0.26500 0.21239 25.000 25.010 25.005 0.08481 0.27892 0.20575 0.08245 0.26627 0.46694 0.08114 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 5.78504E-02 4.40094E-05 1.13777E-03 1.18178E-03 2.71536E-04 0.019667 9 1 10.0 0.0 180.0 5.58417E-02 4.45186E-05 1.10068E-03 1.14519E-03 2.74677E-04 0.019711 9 4 10.0 45.0 135.0 5.62178E-02 4.43869E-05 1.10936E-03 1.15375E-03 2.73865E-04 0.019733 9 7 10.0 90.0 90.0 5.73484E-02 4.43956E-05 1.13452E-03 1.17892E-03 2.73919E-04 0.019783 8 1 20.0 0.0 180.0 5.38607E-02 4.48455E-05 1.07897E-03 1.12381E-03 2.76695E-04 0.020033 8 4 20.0 45.0 135.0 5.43602E-02 4.44974E-05 1.09035E-03 1.13485E-03 2.74547E-04 0.020058 8 7 20.0 90.0 90.0 5.60949E-02 4.45960E-05 1.12197E-03 1.16656E-03 2.75155E-04 0.020001 7 1 30.0 0.0 180.0 5.14746E-02 4.54605E-05 1.09231E-03 1.13777E-03 2.80489E-04 0.021220 7 4 30.0 45.0 135.0 5.20041E-02 4.55321E-05 1.10528E-03 1.15082E-03 2.80931E-04 0.021254 7 7 30.0 90.0 90.0 5.40788E-02 4.54355E-05 1.14816E-03 1.19359E-03 2.80335E-04 0.021231 6 1 40.0 0.0 180.0 4.86956E-02 4.60384E-05 1.20505E-03 1.25109E-03 2.84055E-04 0.024747 6 4 40.0 45.0 135.0 4.92045E-02 4.60749E-05 1.21580E-03 1.26188E-03 2.84280E-04 0.024709 6 7 40.0 90.0 90.0 5.13947E-02 4.60129E-05 1.27525E-03 1.32126E-03 2.83897E-04 0.024813 5 1 50.0 0.0 180.0 4.55427E-02 4.71310E-05 1.57492E-03 1.62205E-03 2.90796E-04 0.034581 5 4 50.0 45.0 135.0 4.60084E-02 4.69058E-05 1.59442E-03 1.64133E-03 2.89406E-04 0.034655 5 7 50.0 90.0 90.0 4.81560E-02 4.68139E-05 1.67127E-03 1.71809E-03 2.88839E-04 0.034705 4 1 60.0 0.0 180.0 4.20601E-02 4.71027E-05 2.61549E-03 2.66259E-03 2.90622E-04 0.062185 4 4 60.0 45.0 135.0 4.24761E-02 4.67853E-05 2.63483E-03 2.68161E-03 2.88663E-04 0.062031 4 7 60.0 90.0 90.0 4.44833E-02 4.71288E-05 2.78225E-03 2.82938E-03 2.90783E-04 0.062546 3 1 70.0 0.0 180.0 3.83154E-02 4.47337E-05 5.26129E-03 5.30602E-03 2.76004E-04 0.137315 3 4 70.0 45.0 135.0 3.86836E-02 4.48453E-05 5.32867E-03 5.37352E-03 2.76693E-04 0.137750 3 7 70.0 90.0 90.0 4.04993E-02 4.49544E-05 5.66823E-03 5.71319E-03 2.77367E-04 0.139959 2 1 80.0 0.0 180.0 3.43943E-02 3.93070E-05 1.08067E-02 1.08460E-02 2.42522E-04 0.314199 2 4 80.0 45.0 135.0 3.47211E-02 3.92517E-05 1.11396E-02 1.11789E-02 2.42181E-04 0.320832 2 7 80.0 90.0 90.0 3.63266E-02 3.91344E-05 1.17901E-02 1.18292E-02 2.41457E-04 0.324558 1 1 87.5 0.0 180.0 3.14000E-02 3.26801E-05 1.80195E-02 1.80522E-02 2.01635E-04 0.573869 1 4 87.5 45.0 135.0 3.17014E-02 3.09955E-05 1.89470E-02 1.89780E-02 1.91241E-04 0.597670 1 7 87.5 90.0 90.0 3.31497E-02 3.39962E-05 1.98098E-02 1.98438E-02 2.09755E-04 0.597587 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 1.182E-03 5.785E-02 2.473E-02 2.650E-02 3.776E-02 7.292E-03 7.985E+00 4.401E-05 2.715E-04 1 0.00 0.00 8.166E-05 1.021E-01 3.574E-04 3.888E-04 4.567E-04 5.337E-04 4.355E+00 3 3.54 5.00 1.623E-05 1.020E-02 4.027E-05 4.154E-05 4.485E-05 1.506E-03 3.676E+00 5 7.71 10.00 9.010E-06 8.945E-04 1.198E-05 1.208E-05 1.230E-05 1.150E-02 3.308E+00 7 13.01 15.00 5.442E-06 6.965E-05 7.340E-06 7.348E-06 7.362E-06 7.389E-02 3.437E+00 9 18.54 20.00 2.156E-06 8.560E-06 3.047E-06 3.048E-06 3.048E-06 1.377E-01 3.487E+00 11 22.70 25.00 7.816E-07 2.151E-06 8.820E-07 8.820E-07 8.820E-07 1.628E-01 3.203E+00 Waveband 27 of 30 completed in 7.9 sec. * * * * * Output for wavelength band 28 (670.0 to 680.0 nm; nominal wavelength = 675.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 55.7 m at 675.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 670.0 nm to 680.0 nm: Ed(diffuse) = 2.420E-01 Ed(direct) = 3.982E-01 Ed(total) = 6.401E-01 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 1.600E-01 Ed(direct) = 0.000E+00 Ed(total) = 1.600E-01 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 0.0116 0.0000 0.0002 0.4599 3 3.645 5.000 0.4480 0.0153 0.0000 0.0003 0.4636 5 7.920 10.000 0.4480 0.0238 0.0000 0.0004 0.4722 7 13.342 15.000 0.4480 0.0377 0.0000 0.0006 0.4863 9 18.999 20.000 0.4480 0.0286 0.0000 0.0005 0.4771 11 23.260 25.000 0.4480 0.0097 0.0000 0.0002 0.4579 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 0.1131 0.1169 0.0000 0.2308 3 3.645 5.000 0.0008 0.1392 0.1630 0.0000 0.3029 5 7.920 10.000 0.0008 0.1920 0.2756 0.0000 0.4684 7 13.342 15.000 0.0008 0.2634 0.4710 0.0000 0.7352 9 18.999 20.000 0.0008 0.2185 0.3419 0.0000 0.5612 11 23.260 25.000 0.0008 0.0984 0.0936 0.0000 0.1928 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 0.00159 0.00021 0.00000 0.00219 3 3.645 5.000 0.00040 0.00195 0.00029 0.00000 0.00263 5 7.920 10.000 0.00040 0.00269 0.00049 0.00000 0.00357 7 13.342 15.000 0.00040 0.00369 0.00083 0.00000 0.00492 9 18.999 20.000 0.00040 0.00306 0.00060 0.00000 0.00406 11 23.260 25.000 0.00040 0.00138 0.00016 0.00000 0.00194 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 0.4599 0.2308 0.6907 0.3342 0.00219 0.00947 3 3.645 5.000 0.4636 0.3029 0.7665 0.3952 0.00263 0.00869 5 7.920 10.000 0.4722 0.4684 0.9407 0.4980 0.00357 0.00763 7 13.342 15.000 0.4863 0.7352 1.2215 0.6019 0.00492 0.00669 9 18.999 20.000 0.4771 0.5612 1.0382 0.5405 0.00406 0.00723 11 23.260 25.000 0.4579 0.1928 0.6506 0.2963 0.00194 0.01006 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 7.6837E-01 8 20.00 3.9034E-01 7 30.00 1.4705E-01 6 40.00 4.7473E-02 5 50.00 1.5119E-02 4 60.00 5.3103E-03 3 70.00 2.1735E-03 2 80.00 1.0415E-03 1 87.50 6.5307E-04 1 92.50 4.9612E-04 2 100.00 3.5626E-04 3 110.00 2.5448E-04 4 120.00 2.0241E-04 5 130.00 1.7514E-04 6 140.00 1.6056E-04 7 150.00 1.5275E-04 8 160.00 1.4869E-04 9 170.00 1.4676E-04 10 180.00 1.4604E-04 Asymptotic AOP values are MUu(inf) = 0.3886 MUd(inf) = 0.9094 MU(inf) = 0.9050 R(inf) = 0.0015 Lu(inf)/Ed(inf) = 0.000356 (1/sr) k(inf) = 0.5060 (1/m) absorp(check) = 0.4579 = 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 3.8110E-02 2.9565E-01 3.3376E-01 9.3543E-03 1.6004E-01 0.2455 0.5413 0.4515 5.8451E-02 1 0.00 0.00 1.0613E-03 1.8182E-01 1.8288E-01 4.2165E-04 1.5110E-01 0.3973 0.8311 0.8239 2.7905E-03 3 3.65 5.00 2.6439E-04 1.1311E-02 1.1575E-02 1.2349E-04 9.4749E-03 0.4671 0.8377 0.8079 1.3033E-02 5 7.92 10.00 1.8574E-04 8.7307E-04 1.0588E-03 9.1222E-05 6.7679E-04 0.4911 0.7752 0.5530 1.3479E-01 7 13.34 15.00 1.3195E-04 1.9995E-04 3.3190E-04 6.2827E-05 1.1477E-04 0.4761 0.5740 0.1565 5.4741E-01 9 19.00 20.00 5.1399E-05 7.8825E-05 1.3022E-04 2.4060E-05 4.2625E-05 0.4681 0.5408 0.1426 5.6445E-01 11 23.26 25.00 1.3288E-05 2.3228E-05 3.6516E-05 6.4904E-06 1.3212E-05 0.4884 0.5688 0.1841 4.9127E-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 0.43041 0.55780 0.55706 0.37887 0.55585 0.55635 0.34431 5.000 5.010 5.005 0.12059 0.54733 0.53756 0.09839 0.54739 0.55333 0.07949 10.000 10.010 10.005 0.03787 0.44378 0.37246 0.03829 0.48433 0.55399 0.04387 15.000 15.010 15.005 0.17298 0.15837 0.16418 0.17606 0.20452 0.23895 0.17916 20.000 20.010 20.005 0.22781 0.18841 0.20396 0.23327 0.18985 0.13360 0.24027 25.000 25.010 25.005 0.08329 0.33587 0.24388 0.08013 0.31128 0.53500 0.07870 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 5.71221E-02 5.58070E-05 1.12345E-03 1.17925E-03 3.48717E-04 0.019667 9 1 10.0 0.0 180.0 5.51386E-02 5.63782E-05 1.08682E-03 1.14320E-03 3.52286E-04 0.019711 9 4 10.0 45.0 135.0 5.55100E-02 5.62176E-05 1.09539E-03 1.15161E-03 3.51283E-04 0.019733 9 7 10.0 90.0 90.0 5.66263E-02 5.62419E-05 1.12023E-03 1.17648E-03 3.51435E-04 0.019783 8 1 20.0 0.0 180.0 5.31826E-02 5.66645E-05 1.06538E-03 1.12204E-03 3.54075E-04 0.020033 8 4 20.0 45.0 135.0 5.36758E-02 5.62355E-05 1.07662E-03 1.13286E-03 3.51395E-04 0.020058 8 7 20.0 90.0 90.0 5.53886E-02 5.63807E-05 1.10784E-03 1.16422E-03 3.52302E-04 0.020001 7 1 30.0 0.0 180.0 5.08265E-02 5.72678E-05 1.07856E-03 1.13583E-03 3.57845E-04 0.021220 7 4 30.0 45.0 135.0 5.13493E-02 5.73731E-05 1.09137E-03 1.14874E-03 3.58503E-04 0.021254 7 7 30.0 90.0 90.0 5.33979E-02 5.72768E-05 1.13370E-03 1.19098E-03 3.57901E-04 0.021231 6 1 40.0 0.0 180.0 4.80825E-02 5.76705E-05 1.18988E-03 1.24755E-03 3.60362E-04 0.024747 6 4 40.0 45.0 135.0 4.85849E-02 5.77335E-05 1.20049E-03 1.25823E-03 3.60755E-04 0.024709 6 7 40.0 90.0 90.0 5.07476E-02 5.76803E-05 1.25919E-03 1.31687E-03 3.60423E-04 0.024813 5 1 50.0 0.0 180.0 4.49693E-02 5.86388E-05 1.55509E-03 1.61373E-03 3.66412E-04 0.034581 5 4 50.0 45.0 135.0 4.54291E-02 5.83752E-05 1.57434E-03 1.63272E-03 3.64765E-04 0.034655 5 7 50.0 90.0 90.0 4.75497E-02 5.82761E-05 1.65023E-03 1.70851E-03 3.64145E-04 0.034705 4 1 60.0 0.0 180.0 4.15305E-02 5.81538E-05 2.58256E-03 2.64071E-03 3.63381E-04 0.062185 4 4 60.0 45.0 135.0 4.19412E-02 5.77778E-05 2.60165E-03 2.65943E-03 3.61032E-04 0.062031 4 7 60.0 90.0 90.0 4.39232E-02 5.82059E-05 2.74722E-03 2.80542E-03 3.63707E-04 0.062546 3 1 70.0 0.0 180.0 3.78330E-02 5.46544E-05 5.19504E-03 5.24970E-03 3.41515E-04 0.137315 3 4 70.0 45.0 135.0 3.81965E-02 5.48034E-05 5.26158E-03 5.31638E-03 3.42446E-04 0.137750 3 7 70.0 90.0 90.0 3.99894E-02 5.49154E-05 5.59687E-03 5.65178E-03 3.43146E-04 0.139959 2 1 80.0 0.0 180.0 3.39612E-02 4.75201E-05 1.06706E-02 1.07181E-02 2.96935E-04 0.314199 2 4 80.0 45.0 135.0 3.42839E-02 4.74546E-05 1.09994E-02 1.10468E-02 2.96526E-04 0.320832 2 7 80.0 90.0 90.0 3.58692E-02 4.72888E-05 1.16416E-02 1.16889E-02 2.95490E-04 0.324558 1 1 87.5 0.0 180.0 3.10046E-02 3.90449E-05 1.77926E-02 1.78316E-02 2.43977E-04 0.573869 1 4 87.5 45.0 135.0 3.13023E-02 3.70369E-05 1.87084E-02 1.87455E-02 2.31430E-04 0.597670 1 7 87.5 90.0 90.0 3.27323E-02 4.05762E-05 1.95604E-02 1.96010E-02 2.53545E-04 0.597587 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 1.179E-03 5.712E-02 2.442E-02 2.617E-02 3.729E-02 7.369E-03 7.932E+00 5.581E-05 3.487E-04 1 0.00 0.00 1.036E-04 1.008E-01 3.758E-04 4.062E-04 4.721E-04 6.854E-04 4.071E+00 3 3.65 5.00 3.679E-05 9.062E-03 5.711E-05 5.814E-05 6.080E-05 3.883E-03 3.356E+00 5 7.92 10.00 2.808E-05 7.281E-04 3.163E-05 3.170E-05 3.186E-05 4.150E-02 3.248E+00 7 13.34 15.00 1.818E-05 6.925E-05 2.423E-05 2.424E-05 2.424E-05 1.584E-01 3.456E+00 9 19.00 20.00 6.753E-06 1.709E-05 9.946E-06 9.946E-06 9.947E-06 1.584E-01 3.563E+00 11 23.26 25.00 1.985E-06 5.474E-06 2.339E-06 2.339E-06 2.339E-06 1.503E-01 3.269E+00 Waveband 28 of 30 completed in 7.9 sec. * * * * * Output for wavelength band 29 (680.0 to 690.0 nm; nominal wavelength = 685.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 54.3 m at 685.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 680.0 nm to 690.0 nm: Ed(diffuse) = 2.169E-01 Ed(direct) = 3.598E-01 Ed(total) = 5.767E-01 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 1.442E-01 Ed(direct) = 0.000E+00 Ed(total) = 1.442E-01 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 0.0073 0.0000 0.0002 0.4935 3 3.805 5.000 0.4860 0.0098 0.0000 0.0003 0.4961 5 8.232 10.000 0.4860 0.0158 0.0000 0.0004 0.5022 7 13.791 15.000 0.4860 0.0258 0.0000 0.0005 0.5123 9 19.583 20.000 0.4860 0.0192 0.0000 0.0004 0.5056 11 23.996 25.000 0.4860 0.0060 0.0000 0.0002 0.4922 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 0.1126 0.1164 0.0000 0.2298 3 3.805 5.000 0.0007 0.1387 0.1624 0.0000 0.3019 5 8.232 10.000 0.0007 0.1917 0.2752 0.0000 0.4676 7 13.791 15.000 0.0007 0.2634 0.4710 0.0000 0.7351 9 19.583 20.000 0.0007 0.2183 0.3416 0.0000 0.5606 11 23.996 25.000 0.0007 0.0979 0.0931 0.0000 0.1917 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 0.00158 0.00020 0.00000 0.00215 3 3.805 5.000 0.00037 0.00194 0.00029 0.00000 0.00260 5 8.232 10.000 0.00037 0.00269 0.00048 0.00000 0.00354 7 13.791 15.000 0.00037 0.00369 0.00083 0.00000 0.00489 9 19.583 20.000 0.00037 0.00306 0.00060 0.00000 0.00403 11 23.996 25.000 0.00037 0.00137 0.00016 0.00000 0.00191 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 0.4935 0.2298 0.7233 0.3177 0.00215 0.00938 3 3.805 5.000 0.4961 0.3019 0.7980 0.3783 0.00260 0.00862 5 8.232 10.000 0.5022 0.4676 0.9698 0.4822 0.00354 0.00758 7 13.791 15.000 0.5123 0.7351 1.2474 0.5893 0.00489 0.00665 9 19.583 20.000 0.5056 0.5606 1.0662 0.5258 0.00403 0.00719 11 23.996 25.000 0.4922 0.1917 0.6839 0.2803 0.00191 0.00995 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 7.5773E-01 8 20.00 3.7259E-01 7 30.00 1.3502E-01 6 40.00 4.2121E-02 5 50.00 1.3118E-02 4 60.00 4.5657E-03 3 70.00 1.8679E-03 2 80.00 8.9687E-04 1 87.50 5.6315E-04 1 92.50 4.2837E-04 2 100.00 3.0793E-04 3 110.00 2.2027E-04 4 120.00 1.7548E-04 5 130.00 1.5204E-04 6 140.00 1.3951E-04 7 150.00 1.3280E-04 8 160.00 1.2932E-04 9 170.00 1.2767E-04 10 180.00 1.2705E-04 Asymptotic AOP values are MUu(inf) = 0.3893 MUd(inf) = 0.9132 MU(inf) = 0.9091 R(inf) = 0.0014 Lu(inf)/Ed(inf) = 0.000324 (1/sr) k(inf) = 0.5415 (1/m) absorp(check) = 0.4923 = 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 3.4319E-02 2.6637E-01 3.0069E-01 8.4195E-03 1.4418E-01 0.2453 0.5413 0.4515 5.8394E-02 1 0.00 0.00 9.0023E-04 1.6376E-01 1.6466E-01 3.5877E-04 1.3612E-01 0.3985 0.8312 0.8245 2.6357E-03 3 3.81 5.00 2.2517E-04 8.4227E-03 8.6479E-03 1.0682E-04 7.0715E-03 0.4744 0.8396 0.8054 1.5106E-02 5 8.23 10.00 1.7168E-04 6.0195E-04 7.7362E-04 8.4834E-05 4.5309E-04 0.4941 0.7527 0.4760 1.8723E-01 7 13.79 15.00 1.2729E-04 1.7446E-04 3.0175E-04 6.0694E-05 9.5608E-05 0.4768 0.5480 0.1157 6.3482E-01 9 19.58 20.00 4.8230E-05 7.2583E-05 1.2081E-04 2.2585E-05 3.8907E-05 0.4683 0.5360 0.1351 5.8050E-01 11 24.00 25.00 1.1384E-05 1.9931E-05 3.1314E-05 5.5678E-06 1.1348E-05 0.4891 0.5694 0.1846 4.9065E-01 K-functions (units of 1/meter) at 685.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.46030 0.59960 0.59884 0.40039 0.59615 0.59667 0.35925 5.000 5.010 5.005 0.09954 0.58103 0.56846 0.07935 0.58185 0.58957 0.06290 10.000 10.010 10.005 0.02410 0.42620 0.33683 0.02571 0.48103 0.58621 0.03260 15.000 15.010 15.005 0.17682 0.11645 0.14191 0.18014 0.15022 0.09823 0.18335 20.000 20.010 20.005 0.23906 0.19011 0.20965 0.24473 0.18886 0.11159 0.25239 25.000 25.010 25.005 0.08396 0.36364 0.26188 0.08065 0.33711 0.58477 0.07924 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 5.14642E-02 4.77714E-05 1.01217E-03 1.05994E-03 3.31323E-04 0.019667 9 1 10.0 0.0 180.0 4.96772E-02 4.82527E-05 9.79170E-04 1.02742E-03 3.34661E-04 0.019711 9 4 10.0 45.0 135.0 5.00118E-02 4.81159E-05 9.86895E-04 1.03501E-03 3.33712E-04 0.019733 9 7 10.0 90.0 90.0 5.10176E-02 4.81381E-05 1.00928E-03 1.05741E-03 3.33866E-04 0.019783 8 1 20.0 0.0 180.0 4.79149E-02 4.84850E-05 9.59856E-04 1.00834E-03 3.36272E-04 0.020033 8 4 20.0 45.0 135.0 4.83593E-02 4.81191E-05 9.69986E-04 1.01811E-03 3.33734E-04 0.020058 8 7 20.0 90.0 90.0 4.99025E-02 4.82456E-05 9.98110E-04 1.04636E-03 3.34612E-04 0.020001 7 1 30.0 0.0 180.0 4.57922E-02 4.89844E-05 9.71728E-04 1.02071E-03 3.39735E-04 0.021220 7 4 30.0 45.0 135.0 4.62633E-02 4.90760E-05 9.83269E-04 1.03234E-03 3.40371E-04 0.021254 7 7 30.0 90.0 90.0 4.81089E-02 4.89967E-05 1.02141E-03 1.07040E-03 3.39821E-04 0.021231 6 1 40.0 0.0 180.0 4.33199E-02 4.92985E-05 1.07202E-03 1.12132E-03 3.41914E-04 0.024747 6 4 40.0 45.0 135.0 4.37727E-02 4.93542E-05 1.08159E-03 1.13094E-03 3.42300E-04 0.024709 6 7 40.0 90.0 90.0 4.57211E-02 4.93118E-05 1.13447E-03 1.18378E-03 3.42006E-04 0.024813 5 1 50.0 0.0 180.0 4.05151E-02 5.00908E-05 1.40106E-03 1.45115E-03 3.47409E-04 0.034581 5 4 50.0 45.0 135.0 4.09294E-02 4.98675E-05 1.41841E-03 1.46827E-03 3.45860E-04 0.034655 5 7 50.0 90.0 90.0 4.28400E-02 4.97852E-05 1.48678E-03 1.53656E-03 3.45290E-04 0.034705 4 1 60.0 0.0 180.0 3.74170E-02 4.96375E-05 2.32676E-03 2.37640E-03 3.44265E-04 0.062185 4 4 60.0 45.0 135.0 3.77870E-02 4.93185E-05 2.34396E-03 2.39328E-03 3.42053E-04 0.062031 4 7 60.0 90.0 90.0 3.95727E-02 4.96855E-05 2.47511E-03 2.52480E-03 3.44598E-04 0.062546 3 1 70.0 0.0 180.0 3.40856E-02 4.66031E-05 4.68048E-03 4.72708E-03 3.23220E-04 0.137315 3 4 70.0 45.0 135.0 3.44132E-02 4.67317E-05 4.74042E-03 4.78716E-03 3.24112E-04 0.137750 3 7 70.0 90.0 90.0 3.60285E-02 4.68268E-05 5.04250E-03 5.08933E-03 3.24771E-04 0.139959 2 1 80.0 0.0 180.0 3.05974E-02 4.04789E-05 9.61369E-03 9.65417E-03 2.80745E-04 0.314199 2 4 80.0 45.0 135.0 3.08882E-02 4.04238E-05 9.90990E-03 9.95032E-03 2.80363E-04 0.320832 2 7 80.0 90.0 90.0 3.23164E-02 4.02817E-05 1.04885E-02 1.05288E-02 2.79377E-04 0.324558 1 1 87.5 0.0 180.0 2.79337E-02 3.32233E-05 1.60303E-02 1.60635E-02 2.30423E-04 0.573869 1 4 87.5 45.0 135.0 2.82018E-02 3.15156E-05 1.68554E-02 1.68869E-02 2.18579E-04 0.597670 1 7 87.5 90.0 90.0 2.94902E-02 3.45244E-05 1.76229E-02 1.76575E-02 2.39447E-04 0.597587 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 1.060E-03 5.146E-02 2.200E-02 2.357E-02 3.360E-02 7.351E-03 7.943E+00 4.777E-05 3.313E-04 1 0.00 0.00 8.865E-05 9.080E-02 3.229E-04 3.501E-04 4.075E-04 6.513E-04 4.047E+00 3 3.81 5.00 3.239E-05 6.912E-03 4.592E-05 4.661E-05 4.839E-05 4.581E-03 3.298E+00 5 8.23 10.00 2.635E-05 4.804E-04 2.852E-05 2.856E-05 2.864E-05 5.816E-02 3.219E+00 7 13.79 15.00 1.760E-05 4.901E-05 2.325E-05 2.325E-05 2.326E-05 1.841E-01 3.449E+00 9 19.58 20.00 6.340E-06 1.483E-05 9.318E-06 9.318E-06 9.318E-06 1.630E-01 3.562E+00 11 24.00 25.00 1.707E-06 4.672E-06 1.995E-06 1.995E-06 1.995E-06 1.504E-01 3.262E+00 Waveband 29 of 30 completed in 7.9 sec. * * * * * Output for wavelength band 30 (690.0 to 700.0 nm; nominal wavelength = 695.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 51.6 m at 695.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 690.0 nm to 700.0 nm: Ed(diffuse) = 2.072E-01 Ed(direct) = 3.466E-01 Ed(total) = 5.538E-01 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 1.384E-01 Ed(direct) = 0.000E+00 Ed(total) = 1.384E-01 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 0.0028 0.0000 0.0002 0.5620 3 4.139 5.000 0.5590 0.0040 0.0000 0.0002 0.5632 5 8.888 10.000 0.5590 0.0067 0.0000 0.0003 0.5660 7 14.751 15.000 0.5590 0.0115 0.0000 0.0005 0.5710 9 20.844 20.000 0.5590 0.0083 0.0000 0.0004 0.5677 11 25.579 25.000 0.5590 0.0023 0.0000 0.0002 0.5615 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 0.1121 0.1159 0.0000 0.2287 3 4.139 5.000 0.0007 0.1382 0.1619 0.0000 0.3008 5 8.888 10.000 0.0007 0.1914 0.2748 0.0000 0.4668 7 14.751 15.000 0.0007 0.2634 0.4710 0.0000 0.7351 9 20.844 20.000 0.0007 0.2181 0.3413 0.0000 0.5600 11 25.579 25.000 0.0007 0.0974 0.0926 0.0000 0.1907 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 0.00157 0.00020 0.00000 0.00212 3 4.139 5.000 0.00035 0.00194 0.00028 0.00000 0.00257 5 8.888 10.000 0.00035 0.00268 0.00048 0.00000 0.00352 7 14.751 15.000 0.00035 0.00369 0.00083 0.00000 0.00487 9 20.844 20.000 0.00035 0.00306 0.00060 0.00000 0.00401 11 25.579 25.000 0.00035 0.00137 0.00016 0.00000 0.00188 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 0.5620 0.2287 0.7908 0.2892 0.00212 0.00929 3 4.139 5.000 0.5632 0.3008 0.8640 0.3482 0.00257 0.00855 5 8.888 10.000 0.5660 0.4668 1.0329 0.4520 0.00352 0.00753 7 14.751 15.000 0.5710 0.7351 1.3061 0.5628 0.00487 0.00662 9 20.844 20.000 0.5677 0.5600 1.1277 0.4966 0.00401 0.00715 11 25.579 25.000 0.5615 0.1907 0.7522 0.2536 0.00188 0.00984 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 7.3776E-01 8 20.00 3.4124E-01 7 30.00 1.1520E-01 6 40.00 3.3846E-02 5 50.00 1.0163E-02 4 60.00 3.4938E-03 3 70.00 1.4321E-03 2 80.00 6.9124E-04 1 87.50 4.3552E-04 1 92.50 3.3224E-04 2 100.00 2.3951E-04 3 110.00 1.7198E-04 4 120.00 1.3757E-04 5 130.00 1.1959E-04 6 140.00 1.0999E-04 7 150.00 1.0486E-04 8 160.00 1.0221E-04 9 170.00 1.0096E-04 10 180.00 1.0049E-04 Asymptotic AOP values are MUu(inf) = 0.3911 MUd(inf) = 0.9195 MU(inf) = 0.9160 R(inf) = 0.0012 Lu(inf)/Ed(inf) = 0.000278 (1/sr) k(inf) = 0.6130 (1/m) absorp(check) = 0.5615 = 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 3.2855E-02 2.5577E-01 2.8863E-01 8.0320E-03 1.3845E-01 0.2445 0.5413 0.4518 5.8015E-02 1 0.00 0.00 6.1398E-04 1.5706E-01 1.5767E-01 2.3195E-04 1.3065E-01 0.3778 0.8318 0.8271 1.7754E-03 3 4.14 5.00 7.3841E-05 5.3690E-03 5.4428E-03 3.3917E-05 4.5641E-03 0.4593 0.8501 0.8323 7.4313E-03 5 8.89 10.00 4.7988E-05 2.4101E-04 2.8900E-04 2.3789E-05 1.9069E-04 0.4957 0.7912 0.5775 1.2476E-01 7 14.75 15.00 3.6287E-05 4.9808E-05 8.6095E-05 1.7395E-05 2.7629E-05 0.4794 0.5547 0.1189 6.2960E-01 9 20.84 20.00 1.3602E-05 1.9760E-05 3.3362E-05 6.4235E-06 1.0555E-05 0.4723 0.5342 0.1239 6.0855E-01 11 25.58 25.00 3.2608E-06 5.2688E-06 8.5296E-06 1.6074E-06 2.9681E-06 0.4929 0.5633 0.1595 5.4156E-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 0.62740 0.68491 0.68469 0.56181 0.67864 0.67884 0.52817 5.000 5.010 5.005 0.18797 0.66241 0.65596 0.15249 0.66001 0.66382 0.11946 10.000 10.010 10.005 0.02466 0.53298 0.44839 0.02476 0.57912 0.65839 0.03043 15.000 15.010 15.005 0.17989 0.13131 0.15178 0.18281 0.17541 0.16283 0.18514 20.000 20.010 20.005 0.24235 0.19519 0.21441 0.24659 0.19460 0.11383 0.25177 25.000 25.010 25.005 0.08851 0.35939 0.25575 0.08599 0.33830 0.63719 0.08490 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 4.94169E-02 2.88156E-05 9.71904E-04 1.00072E-03 2.08133E-04 0.019667 9 1 10.0 0.0 180.0 4.77010E-02 2.91424E-05 9.40218E-04 9.69360E-04 2.10494E-04 0.019711 9 4 10.0 45.0 135.0 4.80223E-02 2.90571E-05 9.47636E-04 9.76693E-04 2.09877E-04 0.019733 9 7 10.0 90.0 90.0 4.89880E-02 2.90646E-05 9.69127E-04 9.98192E-04 2.09931E-04 0.019783 8 1 20.0 0.0 180.0 4.60088E-02 2.93469E-05 9.21672E-04 9.51019E-04 2.11970E-04 0.020033 8 4 20.0 45.0 135.0 4.64355E-02 2.91205E-05 9.31400E-04 9.60520E-04 2.10335E-04 0.020058 8 7 20.0 90.0 90.0 4.79173E-02 2.91878E-05 9.58404E-04 9.87592E-04 2.10821E-04 0.020001 7 1 30.0 0.0 180.0 4.39705E-02 2.97370E-05 9.33072E-04 9.62809E-04 2.14788E-04 0.021220 7 4 30.0 45.0 135.0 4.44229E-02 2.97857E-05 9.44154E-04 9.73940E-04 2.15140E-04 0.021254 7 7 30.0 90.0 90.0 4.61951E-02 2.97262E-05 9.80776E-04 1.01050E-03 2.14710E-04 0.021231 6 1 40.0 0.0 180.0 4.15967E-02 3.00932E-05 1.02938E-03 1.05947E-03 2.17361E-04 0.024747 6 4 40.0 45.0 135.0 4.20313E-02 3.01193E-05 1.03856E-03 1.06868E-03 2.17549E-04 0.024709 6 7 40.0 90.0 90.0 4.39023E-02 3.00828E-05 1.08934E-03 1.11942E-03 2.17286E-04 0.024813 5 1 50.0 0.0 180.0 3.89034E-02 3.07826E-05 1.34533E-03 1.37611E-03 2.22341E-04 0.034581 5 4 50.0 45.0 135.0 3.93012E-02 3.06379E-05 1.36198E-03 1.39262E-03 2.21295E-04 0.034655 5 7 50.0 90.0 90.0 4.11358E-02 3.05817E-05 1.42763E-03 1.45821E-03 2.20889E-04 0.034705 4 1 60.0 0.0 180.0 3.59285E-02 3.07378E-05 2.23420E-03 2.26494E-03 2.22017E-04 0.062185 4 4 60.0 45.0 135.0 3.62838E-02 3.05331E-05 2.25072E-03 2.28125E-03 2.20538E-04 0.062031 4 7 60.0 90.0 90.0 3.79984E-02 3.07605E-05 2.37665E-03 2.40741E-03 2.22181E-04 0.062546 3 1 70.0 0.0 180.0 3.27297E-02 2.91620E-05 4.49429E-03 4.52345E-03 2.10635E-04 0.137315 3 4 70.0 45.0 135.0 3.30442E-02 2.92370E-05 4.55185E-03 4.58108E-03 2.11176E-04 0.137750 3 7 70.0 90.0 90.0 3.45952E-02 2.93099E-05 4.84191E-03 4.87122E-03 2.11703E-04 0.139959 2 1 80.0 0.0 180.0 2.93802E-02 2.56009E-05 9.23125E-03 9.25685E-03 1.84913E-04 0.314199 2 4 80.0 45.0 135.0 2.96594E-02 2.55663E-05 9.51567E-03 9.54124E-03 1.84663E-04 0.320832 2 7 80.0 90.0 90.0 3.10308E-02 2.54910E-05 1.00713E-02 1.00968E-02 1.84119E-04 0.324558 1 1 87.5 0.0 180.0 2.68225E-02 2.12668E-05 1.53926E-02 1.54138E-02 1.53608E-04 0.573869 1 4 87.5 45.0 135.0 2.70799E-02 2.01719E-05 1.61849E-02 1.62050E-02 1.45700E-04 0.597670 1 7 87.5 90.0 90.0 2.83170E-02 2.21244E-05 1.69219E-02 1.69440E-02 1.59803E-04 0.597587 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 1.001E-03 4.942E-02 2.112E-02 2.263E-02 3.226E-02 7.228E-03 8.026E+00 2.882E-05 2.081E-04 1 0.00 0.00 5.347E-05 8.719E-02 2.544E-04 2.786E-04 3.323E-04 4.093E-04 4.338E+00 3 4.14 5.00 1.006E-05 4.696E-03 1.718E-05 1.755E-05 1.848E-05 2.204E-03 3.372E+00 5 8.89 10.00 7.480E-06 2.270E-04 7.961E-06 7.976E-06 8.007E-06 3.923E-02 3.181E+00 7 14.75 15.00 5.109E-06 1.536E-05 6.540E-06 6.540E-06 6.541E-06 1.849E-01 3.405E+00 9 20.84 20.00 1.839E-06 4.005E-06 2.574E-06 2.574E-06 2.574E-06 1.742E-01 3.494E+00 11 25.58 25.00 5.031E-07 1.204E-06 5.585E-07 5.585E-07 5.585E-07 1.695E-01 3.195E+00 Waveband 30 of 30 completed in 8.0 sec. Energy Eo as a function of depth and wavelength Units are W/m^2 [values are integrated over the wavelength bands] depth 405.0 415.0 425.0 435.0 445.0 455.0 465.0 475.0 485.0 495.0 505.0 515.0 525.0 535.0 545.0 555.0 565.0 575.0 585.0 595.0 605.0 615.0 625.0 635.0 645.0 655.0 665.0 675.0 685.0 695.0 in air 2.805E+00 2.997E+00 2.892E+00 2.996E+00 3.558E+00 3.832E+00 3.839E+00 3.918E+00 3.809E+00 3.883E+00 3.814E+00 3.674E+00 3.758E+00 3.796E+00 3.746E+00 3.715E+00 3.670E+00 3.664E+00 3.571E+00 3.411E+00 3.549E+00 3.489E+00 3.459E+00 3.438E+00 3.340E+00 3.203E+00 3.380E+00 3.338E+00 3.007E+00 2.886E+00 0.0 1.745E+00 1.853E+00 1.778E+00 1.830E+00 2.165E+00 2.333E+00 2.348E+00 2.403E+00 2.336E+00 2.378E+00 2.314E+00 2.185E+00 2.235E+00 2.250E+00 2.203E+00 2.163E+00 2.127E+00 2.099E+00 2.010E+00 1.895E+00 1.955E+00 1.920E+00 1.901E+00 1.888E+00 1.833E+00 1.755E+00 1.850E+00 1.829E+00 1.647E+00 1.577E+00 5.0 1.295E+00 1.377E+00 1.322E+00 1.356E+00 1.607E+00 1.755E+00 1.799E+00 1.868E+00 1.832E+00 1.872E+00 1.789E+00 1.592E+00 1.640E+00 1.640E+00 1.564E+00 1.469E+00 1.414E+00 1.288E+00 1.000E+00 6.588E-01 3.904E-01 3.606E-01 3.248E-01 2.893E-01 2.430E-01 1.760E-01 1.297E-01 1.158E-01 8.648E-02 5.443E-02 10.0 8.074E-01 8.594E-01 8.285E-01 8.492E-01 1.018E+00 1.140E+00 1.199E+00 1.276E+00 1.273E+00 1.317E+00 1.247E+00 1.053E+00 1.101E+00 1.100E+00 1.026E+00 9.271E-01 8.766E-01 7.382E-01 4.654E-01 2.162E-01 7.552E-02 6.573E-02 5.408E-02 4.347E-02 3.190E-02 1.787E-02 1.010E-02 1.059E-02 7.736E-03 2.890E-03 15.0 3.982E-01 4.238E-01 4.128E-01 4.239E-01 5.212E-01 6.080E-01 6.626E-01 7.305E-01 7.502E-01 7.914E-01 7.519E-01 6.108E-01 6.526E-01 6.562E-01 6.036E-01 5.293E-01 4.955E-01 3.883E-01 2.005E-01 6.669E-02 1.418E-02 1.163E-02 8.780E-03 6.416E-03 4.184E-03 1.950E-03 1.458E-03 3.319E-03 3.018E-03 8.609E-04 20.0 1.877E-01 1.994E-01 1.957E-01 2.008E-01 2.525E-01 3.062E-01 3.454E-01 3.940E-01 4.153E-01 4.460E-01 4.232E-01 3.290E-01 3.587E-01 3.624E-01 3.280E-01 2.788E-01 2.581E-01 1.884E-01 8.012E-02 1.935E-02 2.658E-03 2.067E-03 1.451E-03 9.947E-04 6.139E-04 3.025E-04 4.316E-04 1.302E-03 1.208E-03 3.336E-04 25.0 1.141E-01 1.209E-01 1.184E-01 1.207E-01 1.520E-01 1.870E-01 2.155E-01 2.498E-01 2.657E-01 2.863E-01 2.659E-01 1.939E-01 2.131E-01 2.138E-01 1.886E-01 1.536E-01 1.394E-01 9.439E-02 3.318E-02 5.919E-03 6.072E-04 4.548E-04 3.085E-04 2.158E-04 1.447E-04 9.184E-05 1.352E-04 3.652E-04 3.131E-04 8.530E-05 Quantum Eo as a function of depth and wavelength Units are (micromol photons)/(m^2 s) [values are integrated over the wavelength bands] depth 405.0 415.0 425.0 435.0 445.0 455.0 465.0 475.0 485.0 495.0 505.0 515.0 525.0 535.0 545.0 555.0 565.0 575.0 585.0 595.0 605.0 615.0 625.0 635.0 645.0 655.0 665.0 675.0 685.0 695.0 in air 9.494E+00 1.040E+01 1.027E+01 1.089E+01 1.323E+01 1.457E+01 1.492E+01 1.556E+01 1.544E+01 1.606E+01 1.610E+01 1.581E+01 1.649E+01 1.698E+01 1.706E+01 1.723E+01 1.733E+01 1.761E+01 1.746E+01 1.697E+01 1.795E+01 1.794E+01 1.807E+01 1.825E+01 1.801E+01 1.753E+01 1.878E+01 1.883E+01 1.722E+01 1.677E+01 0.0 5.908E+00 6.428E+00 6.315E+00 6.655E+00 8.053E+00 8.870E+00 9.124E+00 9.538E+00 9.471E+00 9.838E+00 9.767E+00 9.404E+00 9.806E+00 1.006E+01 1.003E+01 1.003E+01 1.004E+01 1.009E+01 9.830E+00 9.425E+00 9.886E+00 9.871E+00 9.933E+00 1.002E+01 9.880E+00 9.607E+00 1.028E+01 1.032E+01 9.427E+00 9.159E+00 5.0 4.384E+00 4.777E+00 4.694E+00 4.931E+00 5.978E+00 6.673E+00 6.991E+00 7.415E+00 7.428E+00 7.747E+00 7.553E+00 6.851E+00 7.196E+00 7.333E+00 7.124E+00 6.816E+00 6.676E+00 6.189E+00 4.890E+00 3.276E+00 1.974E+00 1.854E+00 1.697E+00 1.536E+00 1.310E+00 9.634E-01 7.207E-01 6.531E-01 4.951E-01 3.162E-01 10.0 2.733E+00 2.981E+00 2.943E+00 3.087E+00 3.786E+00 4.334E+00 4.661E+00 5.064E+00 5.162E+00 5.447E+00 5.265E+00 4.534E+00 4.831E+00 4.918E+00 4.675E+00 4.301E+00 4.139E+00 3.548E+00 2.275E+00 1.075E+00 3.819E-01 3.379E-01 2.825E-01 2.307E-01 1.720E-01 9.781E-02 5.616E-02 5.973E-02 4.429E-02 1.679E-02 15.0 1.348E+00 1.470E+00 1.466E+00 1.541E+00 1.939E+00 2.312E+00 2.575E+00 2.900E+00 3.041E+00 3.274E+00 3.174E+00 2.629E+00 2.864E+00 2.934E+00 2.749E+00 2.455E+00 2.340E+00 1.866E+00 9.805E-01 3.317E-01 7.171E-02 5.980E-02 4.587E-02 3.405E-02 2.256E-02 1.068E-02 8.106E-03 1.872E-02 1.728E-02 5.001E-03 20.0 6.355E-01 6.916E-01 6.953E-01 7.301E-01 9.393E-01 1.164E+00 1.342E+00 1.564E+00 1.683E+00 1.845E+00 1.786E+00 1.416E+00 1.574E+00 1.620E+00 1.494E+00 1.293E+00 1.219E+00 9.053E-01 3.918E-01 9.621E-02 1.344E-02 1.062E-02 7.580E-03 5.279E-03 3.310E-03 1.656E-03 2.399E-03 7.347E-03 6.917E-03 1.938E-03 25.0 3.862E-01 4.194E-01 4.207E-01 4.389E-01 5.653E-01 7.113E-01 8.374E-01 9.917E-01 1.077E+00 1.184E+00 1.122E+00 8.348E-01 9.351E-01 9.562E-01 8.591E-01 7.126E-01 6.584E-01 4.536E-01 1.622E-01 2.943E-02 3.070E-03 2.338E-03 1.612E-03 1.145E-03 7.799E-04 5.028E-04 7.516E-04 2.060E-03 1.793E-03 4.955E-04 PAR as a function of depth The wavelengths used for this PAR calculation were 400.0 to 700.0 nm depth PAR(from Eo) PAR(from Ed) (m) (mumol phot/m^2/s) (mumol phot/m^2/s) in air 4.7921E+02 2.2836E+02 0.00 2.7707E+02 2.1779E+02 5.00 1.3644E+02 9.8281E+01 10.00 8.1439E+01 5.5347E+01 15.00 4.4483E+01 2.9139E+01 20.00 2.3148E+01 1.5073E+01 25.00 1.3771E+01 9.1196E+00 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 0.20619 5.000 5.010 5.005 0.10598 10.000 10.010 10.005 0.10662 15.000 15.010 15.005 0.13662 20.000 20.010 20.005 0.12303 25.000 25.010 25.005 0.07940 CIE 1931 chromaticity coordinates (x,y) and (il)luminance Y for selected quantities. Output is (x,y,Y). Y is illuminance in lm/m^2 for Ed and Eu. Y is luminance in lm/(m^2 sr) for Lu and Lw. Y is not defined for Rrs depth Ed Eu Lu Lw Rrs in air (0.330, 0.342, 1.269E+04) (0.312, 0.334, 8.282E+02) (0.294, 0.325, 1.186E+02) (0.205, 0.283, 2.951E+01) (0.206, 0.272, 0.000E+00) 0.00 (0.329, 0.342, 1.211E+04) (0.204, 0.283, 2.441E+02) (0.205, 0.283, 5.472E+01) 5.00 (0.250, 0.333, 6.581E+03) (0.192, 0.297, 1.903E+02) (0.193, 0.294, 3.828E+01) 10.00 (0.217, 0.329, 3.758E+03) (0.189, 0.319, 1.372E+02) (0.189, 0.310, 2.483E+01) 15.00 (0.204, 0.338, 2.019E+03) (0.187, 0.334, 8.040E+01) (0.183, 0.312, 1.330E+01) 20.00 (0.197, 0.350, 1.065E+03) (0.174, 0.309, 3.672E+01) (0.170, 0.281, 6.246E+00) 25.00 (0.188, 0.345, 6.305E+02) (0.159, 0.259, 1.749E+01) (0.159, 0.247, 3.439E+00) The Forel-Ule number of the nadir-viewing Rrs is FU = 4 The Forel-Ule number of the nadir-viewing, in-air Lu is FU = 5 The Forel-Ule number of the nadir-viewing Lw is FU = 4 The final depth-averaged photopic alpha and K are alpha = 0.4744 1/m and K = 0.1158 1/m The final estimate for the Secchi depth is z_SD = 13.55 m Run completed on 07/18/2013 at 15:14:09.1 Total (wall clock) run time = 171.6 sec