======================================================== | | | 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 (07/17/2013 16:45) Run started on 07/17/2013 at 16:45:55.7 The radiance distribution is computed on the following (Theta,Phi,Depth,Wavelength) grid: I Theta Mu J Phi K zeta z L Lambda (deg) (deg) (m) (nm) 1 87.500 0.0436 1 0.00 1 0.000 1 355.00 2 80.000 0.1730 2 15.00 2 0.010 2 365.00 3 70.000 0.3407 3 30.00 3 1.000 3 375.00 4 60.000 0.4981 4 45.00 4 1.010 4 385.00 5 50.000 0.6403 5 60.00 5 2.000 5 395.00 6 40.000 0.7631 6 75.00 6 2.010 6 405.00 7 30.000 0.8627 7 90.00 7 3.000 7 415.00 8 20.000 0.9361 8 105.00 8 3.010 8 425.00 9 10.000 0.9811 9 120.00 9 4.000 9 435.00 10 0.000 0.9981 10 135.00 10 4.010 10 445.00 11 150.00 11 5.000 11 455.00 12 165.00 12 5.010 12 465.00 13 180.00 13 6.000 13 475.00 14 195.00 14 6.010 14 485.00 15 210.00 15 7.000 15 495.00 16 225.00 16 7.010 16 505.00 17 240.00 17 8.000 17 515.00 18 255.00 18 8.010 18 525.00 19 270.00 19 9.000 19 535.00 20 285.00 20 9.010 20 545.00 21 300.00 21 10.000 21 555.00 22 315.00 22 10.010 22 565.00 23 330.00 23 575.00 24 345.00 24 585.00 25 595.00 26 605.00 27 615.00 28 625.00 29 635.00 30 645.00 31 655.00 32 665.00 33 675.00 34 685.00 35 695.00 36 705.00 37 715.00 38 725.00 39 735.00 40 745.00 ***** BEGIN IOP MODEL SPECIFICATIONS ***** The IOP routine "abcase1" is being used: Absorption and scattering coefficients for case 1 water (Gordon and Morel bio-optical models) are used. component 1 is pure water component 2 is pigmented particles component 3 is CDOM that covaries with chlorophyll Pure water a and b values are obtained from the file: ..\data\H2OabDefaults.txt (Linear interpolation is used to define values at all wavelengths) The data file header records from ..\data\H2OabDefaults.txt are: Default "pure water" absorption (a) and scattering (b) coefficients. Based on: 200-300 nm: R.C. Smith and K. Baker, 1981. Appl. Optics 20(2), 177-184. 191 records read The phase function for component 1 comes from a file titled pure sea water (Rayleigh-like phase function); standard quad partition; 7 Sept 98 Absorption for component 2 calculated from the Prieur-Sathyenranath-Morel model 141 records read The chlorophyll concentration is constant with depth with a value of 2.30 (mg/m^3) Scattering for component 2 calculated using a Power Law model b = 0.3000 X^(0.6200) * (550./wavenm)^(1.0000) The phase function for component 2 will be chosen to have a bb/b ratio of 0.0200 Chlorophyll concentrations at the requested output depths depth Chl (m) (mg/m^3) 0.000 2.300 1.000 2.300 2.000 2.300 3.000 2.300 4.000 2.300 5.000 2.300 6.000 2.300 7.000 2.300 8.000 2.300 9.000 2.300 10.000 2.300 ***** END IOP MODEL SPECIFICATIONS ***** ***** BEGIN INELASTIC SCATTER AND INTERNAL SOURCE SPECIFICATIONS ***** Chlorophyll fluorescence is included in this run Chl fluorescent quantum efficiency set to 0.020 CDOM fluorescence is included in this run Raman scattering is included in this run Raman scattering cross-section set to 2.40E-04 m-1 at reference wavelength 488.0 nm ***** END INELASTIC SCATTER AND INTERNAL SOURCE SPECIFICATIONS ***** ***** BEGIN ATMOSPHERIC MODEL SPECIFICATIONS ***** Normalized sky radiances are computed using sky model "HCNRAD" (Harrison and Coombes Normalized RADiances) The cloud fraction is cloud = 0.0 (0 for a clear sky to 1 for a heavy overcast) The sun is placed in quad Q(r,s) = Q( 9, 1) centered at (theta, phi) = (10.000, 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 = 197 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 = 10.0 degrees Pressure = 29.9 in. mercury Day of year = 197 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 10.00 m The actual depth at which the infinitely deep bottom boundary condition will be applied will be determined dynamically from the IOPs to insure a good solution at the requested output depths ***** END BOTTOM BOUNDARY SPECIFICATIONS ***** Initialization of Hydrolight Completed in 0.2 sec. * * * * * Output for wavelength band 1 (350.0 to 360.0 nm; nominal wavelength = 355.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 355.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 350.0 nm to 360.0 nm: Ed(diffuse) = 3.099E-01 Ed(direct) = 4.001E-01 Ed(total) = 7.100E-01 Absorption Coefficients of Individual Components at 355.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0176 0.0582 0.0678 0.1435 3 0.935 1.000 0.0176 0.0582 0.0678 0.1435 5 1.870 2.000 0.0176 0.0582 0.0678 0.1435 7 2.806 3.000 0.0176 0.0582 0.0678 0.1435 9 3.741 4.000 0.0176 0.0582 0.0678 0.1435 11 4.676 5.000 0.0176 0.0582 0.0678 0.1435 13 5.611 6.000 0.0176 0.0582 0.0678 0.1435 15 6.547 7.000 0.0176 0.0582 0.0678 0.1435 17 7.482 8.000 0.0176 0.0582 0.0678 0.1435 19 8.417 9.000 0.0176 0.0582 0.0678 0.1435 21 9.352 10.000 0.0176 0.0582 0.0678 0.1435 Scattering Coefficients of Individual Components at 355.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0127 0.7790 0.0000 0.7917 3 0.935 1.000 0.0127 0.7790 0.0000 0.7917 5 1.870 2.000 0.0127 0.7790 0.0000 0.7917 7 2.806 3.000 0.0127 0.7790 0.0000 0.7917 9 3.741 4.000 0.0127 0.7790 0.0000 0.7917 11 4.676 5.000 0.0127 0.7790 0.0000 0.7917 13 5.611 6.000 0.0127 0.7790 0.0000 0.7917 15 6.547 7.000 0.0127 0.7790 0.0000 0.7917 17 7.482 8.000 0.0127 0.7790 0.0000 0.7917 19 8.417 9.000 0.0127 0.7790 0.0000 0.7917 21 9.352 10.000 0.0127 0.7790 0.0000 0.7917 Backscattering Coefficients of Individual Components at 355.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00634 0.01558 0.00000 0.02192 3 0.935 1.000 0.00634 0.01558 0.00000 0.02192 5 1.870 2.000 0.00634 0.01558 0.00000 0.02192 7 2.806 3.000 0.00634 0.01558 0.00000 0.02192 9 3.741 4.000 0.00634 0.01558 0.00000 0.02192 11 4.676 5.000 0.00634 0.01558 0.00000 0.02192 13 5.611 6.000 0.00634 0.01558 0.00000 0.02192 15 6.547 7.000 0.00634 0.01558 0.00000 0.02192 17 7.482 8.000 0.00634 0.01558 0.00000 0.02192 19 8.417 9.000 0.00634 0.01558 0.00000 0.02192 21 9.352 10.000 0.00634 0.01558 0.00000 0.02192 Summary of Inherent Optical Properties at 355.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1435 0.7917 0.9352 0.8465 0.02192 0.02769 3 0.935 1.000 0.1435 0.7917 0.9352 0.8465 0.02192 0.02769 5 1.870 2.000 0.1435 0.7917 0.9352 0.8465 0.02192 0.02769 7 2.806 3.000 0.1435 0.7917 0.9352 0.8465 0.02192 0.02769 9 3.741 4.000 0.1435 0.7917 0.9352 0.8465 0.02192 0.02769 11 4.676 5.000 0.1435 0.7917 0.9352 0.8465 0.02192 0.02769 13 5.611 6.000 0.1435 0.7917 0.9352 0.8465 0.02192 0.02769 15 6.547 7.000 0.1435 0.7917 0.9352 0.8465 0.02192 0.02769 17 7.482 8.000 0.1435 0.7917 0.9352 0.8465 0.02192 0.02769 19 8.417 9.000 0.1435 0.7917 0.9352 0.8465 0.02192 0.02769 21 9.352 10.000 0.1435 0.7917 0.9352 0.8465 0.02192 0.02769 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4671E-01 8 20.00 8.1837E-01 7 30.00 6.5010E-01 6 40.00 4.8197E-01 5 50.00 3.3984E-01 4 60.00 2.3272E-01 3 70.00 1.5806E-01 2 80.00 1.0883E-01 1 87.50 8.3197E-02 1 92.50 6.9211E-02 2 100.00 5.4892E-02 3 110.00 4.2069E-02 4 120.00 3.3660E-02 5 130.00 2.8202E-02 6 140.00 2.4666E-02 7 150.00 2.2404E-02 8 160.00 2.1015E-02 9 170.00 2.0264E-02 10 180.00 1.9997E-02 Asymptotic AOP values are MUu(inf) = 0.3917 MUd(inf) = 0.6989 MU(inf) = 0.5849 R(inf) = 0.0654 Lu(inf)/Ed(inf) = 0.014045 (1/sr) k(inf) = 0.2454 (1/m) absorp(check) = 0.1435 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 355.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.1231E-01 9.8175E-01 1.0941E+00 4.1821E-02 7.0997E-01 0.3724 0.7232 0.6107 5.8906E-02 1 0.00 0.00 8.4452E-02 8.0523E-01 8.8968E-01 3.6970E-02 7.0511E-01 0.4378 0.8757 0.7510 5.2431E-02 3 0.94 1.00 7.4633E-02 6.9393E-01 7.6856E-01 3.1818E-02 5.8091E-01 0.4263 0.8371 0.7144 5.4772E-02 5 1.87 2.00 6.3962E-02 5.8504E-01 6.4900E-01 2.6801E-02 4.7424E-01 0.4190 0.8106 0.6894 5.6513E-02 7 2.81 3.00 5.3771E-02 4.8607E-01 5.3984E-01 2.2257E-02 3.8452E-01 0.4139 0.7911 0.6711 5.7882E-02 9 3.74 4.00 4.4611E-02 3.9965E-01 4.4426E-01 1.8296E-02 3.1010E-01 0.4101 0.7759 0.6568 5.8999E-02 11 4.68 5.00 3.6649E-02 3.2599E-01 3.6264E-01 1.4921E-02 2.4898E-01 0.4071 0.7638 0.6454 5.9930E-02 13 5.61 6.00 2.9878E-02 2.6421E-01 2.9409E-01 1.2092E-02 1.9916E-01 0.4047 0.7538 0.6361 6.0716E-02 15 6.55 7.00 2.4206E-02 2.1303E-01 2.3723E-01 9.7488E-03 1.5882E-01 0.4027 0.7455 0.6283 6.1385E-02 17 7.48 8.00 1.9510E-02 1.7101E-01 1.9052E-01 7.8253E-03 1.2630E-01 0.4011 0.7386 0.6219 6.1957E-02 19 8.42 9.00 1.5657E-02 1.3678E-01 1.5243E-01 6.2583E-03 1.0022E-01 0.3997 0.7327 0.6164 6.2448E-02 21 9.35 10.00 1.2519E-02 1.0905E-01 1.2157E-01 4.9894E-03 7.9360E-02 0.3985 0.7277 0.6118 6.2870E-02 K-functions (units of 1/meter) at 355.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.11752 0.14587 0.14317 0.13881 0.18844 0.19118 0.17848 1.000 1.010 1.005 0.14149 0.16127 0.15935 0.16257 0.19886 0.20096 0.19158 2.000 2.010 2.005 0.16538 0.17901 0.17767 0.17960 0.20662 0.20824 0.20096 3.000 3.010 3.005 0.18094 0.19111 0.19009 0.19142 0.21263 0.21393 0.20805 4.000 4.010 4.005 0.19215 0.20010 0.19931 0.20029 0.21748 0.21856 0.21370 5.000 5.010 5.005 0.20075 0.20716 0.20652 0.20730 0.22151 0.22242 0.21834 6.000 6.010 6.005 0.20763 0.21290 0.21237 0.21300 0.22491 0.22568 0.22222 7.000 7.010 7.005 0.21327 0.21765 0.21721 0.21774 0.22780 0.22846 0.22551 8.000 8.010 8.005 0.21798 0.22166 0.22128 0.22174 0.23028 0.23084 0.22832 9.000 9.010 9.005 0.22194 0.22506 0.22474 0.22513 0.23240 0.23289 0.23073 10.000 10.010 10.005 0.22532 0.22796 0.22768 0.22802 0.23424 0.23465 0.23280 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 355.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 3.28184E-01 5.08818E-03 2.26888E-02 2.77769E-02 7.16677E-03 0.069134 9 1 10.0 0.0 180.0 1.43885E-01 5.16584E-03 1.05478E-02 1.57136E-02 7.27616E-03 0.073307 9 4 10.0 45.0 135.0 1.60793E-01 5.14568E-03 1.20009E-02 1.71466E-02 7.24776E-03 0.074636 9 7 10.0 90.0 90.0 2.24808E-01 5.13518E-03 1.75302E-02 2.26654E-02 7.23297E-03 0.077978 8 1 20.0 0.0 180.0 8.60168E-02 5.21388E-03 4.03008E-03 9.24397E-03 7.34383E-03 0.046852 8 4 20.0 45.0 135.0 9.59850E-02 5.16595E-03 4.98430E-03 1.01502E-02 7.27631E-03 0.051928 8 7 20.0 90.0 90.0 1.34890E-01 5.16040E-03 9.13443E-03 1.42948E-02 7.26850E-03 0.067718 7 1 30.0 0.0 180.0 6.06069E-02 5.29109E-03 1.81433E-03 7.10542E-03 7.45258E-03 0.029936 7 4 30.0 45.0 135.0 6.61859E-02 5.29009E-03 2.15773E-03 7.44782E-03 7.45116E-03 0.032601 7 7 30.0 90.0 90.0 8.70044E-02 5.25822E-03 3.76945E-03 9.02767E-03 7.40628E-03 0.043325 6 1 40.0 0.0 180.0 4.97866E-02 5.35294E-03 1.44419E-03 6.79713E-03 7.53969E-03 0.029008 6 4 40.0 45.0 135.0 5.33057E-02 5.34755E-03 1.57022E-03 6.91777E-03 7.53209E-03 0.029457 6 7 40.0 90.0 90.0 6.54371E-02 5.32016E-03 2.11834E-03 7.43850E-03 7.49352E-03 0.032372 5 1 50.0 0.0 180.0 4.61136E-02 5.45131E-03 1.86222E-03 7.31354E-03 7.67825E-03 0.040383 5 4 50.0 45.0 135.0 4.87041E-02 5.41752E-03 1.96643E-03 7.38394E-03 7.63065E-03 0.040375 5 7 50.0 90.0 90.0 5.70255E-02 5.39234E-03 2.32472E-03 7.71706E-03 7.59518E-03 0.040766 4 1 60.0 0.0 180.0 4.78303E-02 5.40545E-03 3.67113E-03 9.07658E-03 7.61365E-03 0.076753 4 4 60.0 45.0 135.0 4.98985E-02 5.36437E-03 3.78502E-03 9.14939E-03 7.55578E-03 0.075854 4 7 60.0 90.0 90.0 5.64555E-02 5.39701E-03 4.24260E-03 9.63961E-03 7.60176E-03 0.075150 3 1 70.0 0.0 180.0 5.73622E-02 5.05495E-03 9.17940E-03 1.42344E-02 7.11997E-03 0.160025 3 4 70.0 45.0 135.0 5.88783E-02 5.06785E-03 9.39811E-03 1.44660E-02 7.13815E-03 0.159619 3 7 70.0 90.0 90.0 6.42118E-02 5.08453E-03 1.02235E-02 1.53080E-02 7.16163E-03 0.159215 2 1 80.0 0.0 180.0 8.55409E-02 4.36120E-03 2.18063E-02 2.61675E-02 6.14282E-03 0.254922 2 4 80.0 45.0 135.0 8.59536E-02 4.35849E-03 2.26329E-02 2.69914E-02 6.13899E-03 0.263315 2 7 80.0 90.0 90.0 8.93692E-02 4.36048E-03 2.42309E-02 2.85914E-02 6.14180E-03 0.271133 1 1 87.5 0.0 180.0 1.28955E-01 3.53728E-03 3.79966E-02 4.15339E-02 4.98231E-03 0.294649 1 4 87.5 45.0 135.0 1.27411E-01 3.36210E-03 4.05507E-02 4.39128E-02 4.73556E-03 0.318267 1 7 87.5 90.0 90.0 1.27174E-01 3.70724E-03 4.27428E-02 4.64500E-02 5.22169E-03 0.336097 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 355.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 2.778E-02 3.282E-01 8.524E-02 8.681E-02 9.285E-02 3.912E-02 1.506E+00 5.088E-03 7.167E-03 1 0.00 0.00 9.440E-03 2.490E+00 1.856E-02 1.992E-02 2.144E-02 1.339E-02 3.916E+00 3 0.94 1.00 7.844E-03 1.757E+00 1.699E-02 1.863E-02 2.117E-02 1.350E-02 4.056E+00 5 1.87 2.00 6.445E-03 1.238E+00 1.533E-02 1.691E-02 1.935E-02 1.359E-02 4.159E+00 7 2.81 3.00 5.252E-03 8.726E-01 1.335E-02 1.476E-02 1.690E-02 1.366E-02 4.238E+00 9 3.74 4.00 4.253E-03 6.173E-01 1.138E-02 1.257E-02 1.437E-02 1.372E-02 4.302E+00 11 4.68 5.00 3.427E-03 4.388E-01 9.557E-03 1.054E-02 1.200E-02 1.376E-02 4.354E+00 13 5.61 6.00 2.749E-03 3.139E-01 7.941E-03 8.736E-03 9.899E-03 1.380E-02 4.398E+00 15 6.55 7.00 2.198E-03 2.262E-01 6.543E-03 7.173E-03 8.081E-03 1.384E-02 4.436E+00 17 7.48 8.00 1.752E-03 1.641E-01 5.355E-03 5.847E-03 6.546E-03 1.387E-02 4.468E+00 19 8.42 9.00 1.392E-03 1.200E-01 4.357E-03 4.737E-03 5.269E-03 1.389E-02 4.495E+00 21 9.35 10.00 1.104E-03 8.835E-02 3.528E-03 3.819E-03 4.219E-03 1.391E-02 4.518E+00 Waveband 1 of 40 completed in 4.4 sec. * * * * * Output for wavelength band 2 (360.0 to 370.0 nm; nominal wavelength = 365.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 365.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 360.0 nm to 370.0 nm: Ed(diffuse) = 3.389E-01 Ed(direct) = 4.843E-01 Ed(total) = 8.232E-01 Absorption Coefficients of Individual Components at 365.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0132 0.0598 0.0589 0.1319 3 0.901 1.000 0.0132 0.0598 0.0589 0.1319 5 1.802 2.000 0.0132 0.0598 0.0589 0.1319 7 2.702 3.000 0.0132 0.0598 0.0589 0.1319 9 3.603 4.000 0.0132 0.0598 0.0589 0.1319 11 4.504 5.000 0.0132 0.0598 0.0589 0.1319 13 5.405 6.000 0.0132 0.0598 0.0589 0.1319 15 6.305 7.000 0.0132 0.0598 0.0589 0.1319 17 7.206 8.000 0.0132 0.0598 0.0589 0.1319 19 8.107 9.000 0.0132 0.0598 0.0589 0.1319 21 9.008 10.000 0.0132 0.0598 0.0589 0.1319 Scattering Coefficients of Individual Components at 365.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0113 0.7576 0.0000 0.7689 3 0.901 1.000 0.0113 0.7576 0.0000 0.7689 5 1.802 2.000 0.0113 0.7576 0.0000 0.7689 7 2.702 3.000 0.0113 0.7576 0.0000 0.7689 9 3.603 4.000 0.0113 0.7576 0.0000 0.7689 11 4.504 5.000 0.0113 0.7576 0.0000 0.7689 13 5.405 6.000 0.0113 0.7576 0.0000 0.7689 15 6.305 7.000 0.0113 0.7576 0.0000 0.7689 17 7.206 8.000 0.0113 0.7576 0.0000 0.7689 19 8.107 9.000 0.0113 0.7576 0.0000 0.7689 21 9.008 10.000 0.0113 0.7576 0.0000 0.7689 Backscattering Coefficients of Individual Components at 365.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00563 0.01515 0.00000 0.02078 3 0.901 1.000 0.00563 0.01515 0.00000 0.02078 5 1.802 2.000 0.00563 0.01515 0.00000 0.02078 7 2.702 3.000 0.00563 0.01515 0.00000 0.02078 9 3.603 4.000 0.00563 0.01515 0.00000 0.02078 11 4.504 5.000 0.00563 0.01515 0.00000 0.02078 13 5.405 6.000 0.00563 0.01515 0.00000 0.02078 15 6.305 7.000 0.00563 0.01515 0.00000 0.02078 17 7.206 8.000 0.00563 0.01515 0.00000 0.02078 19 8.107 9.000 0.00563 0.01515 0.00000 0.02078 21 9.008 10.000 0.00563 0.01515 0.00000 0.02078 Summary of Inherent Optical Properties at 365.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1319 0.7689 0.9008 0.8536 0.02078 0.02702 3 0.901 1.000 0.1319 0.7689 0.9008 0.8536 0.02078 0.02702 5 1.802 2.000 0.1319 0.7689 0.9008 0.8536 0.02078 0.02702 7 2.702 3.000 0.1319 0.7689 0.9008 0.8536 0.02078 0.02702 9 3.603 4.000 0.1319 0.7689 0.9008 0.8536 0.02078 0.02702 11 4.504 5.000 0.1319 0.7689 0.9008 0.8536 0.02078 0.02702 13 5.405 6.000 0.1319 0.7689 0.9008 0.8536 0.02078 0.02702 15 6.305 7.000 0.1319 0.7689 0.9008 0.8536 0.02078 0.02702 17 7.206 8.000 0.1319 0.7689 0.9008 0.8536 0.02078 0.02702 19 8.107 9.000 0.1319 0.7689 0.9008 0.8536 0.02078 0.02702 21 9.008 10.000 0.1319 0.7689 0.9008 0.8536 0.02078 0.02702 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4844E-01 8 20.00 8.2379E-01 7 30.00 6.5915E-01 6 40.00 4.9303E-01 5 50.00 3.5095E-01 4 60.00 2.4253E-01 3 70.00 1.6604E-01 2 80.00 1.1505E-01 1 87.50 8.8251E-02 1 92.50 7.3526E-02 2 100.00 5.8395E-02 3 110.00 4.4776E-02 4 120.00 3.5794E-02 5 130.00 2.9937E-02 6 140.00 2.6127E-02 7 150.00 2.3682E-02 8 160.00 2.2177E-02 9 170.00 2.1360E-02 10 180.00 2.1071E-02 Asymptotic AOP values are MUu(inf) = 0.3912 MUd(inf) = 0.6947 MU(inf) = 0.5775 R(inf) = 0.0681 Lu(inf)/Ed(inf) = 0.014522 (1/sr) k(inf) = 0.2284 (1/m) absorp(check) = 0.1319 = k(inf)*MU(inf) The CDOM absorption at each wavelength is constant with depth with a value of 0.00 (1/m) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 365.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.2723E-01 1.1214E+00 1.2486E+00 4.8463E-02 8.2321E-01 0.3809 0.7341 0.6205 5.8870E-02 1 0.00 0.00 1.0117E-01 9.3425E-01 1.0354E+00 4.4342E-02 8.1909E-01 0.4383 0.8767 0.7482 5.4135E-02 3 0.90 1.00 9.0659E-02 8.1681E-01 9.0747E-01 3.8733E-02 6.8532E-01 0.4272 0.8390 0.7125 5.6519E-02 5 1.80 2.00 7.8991E-02 6.9998E-01 7.7897E-01 3.3169E-02 5.6861E-01 0.4199 0.8123 0.6874 5.8334E-02 7 2.70 3.00 6.7570E-02 5.9158E-01 6.5915E-01 2.8023E-02 4.6876E-01 0.4147 0.7924 0.6686 5.9782E-02 9 3.60 4.00 5.7064E-02 4.9495E-01 5.5202E-01 2.3442E-02 3.8446E-01 0.4108 0.7768 0.6540 6.0975E-02 11 4.50 5.00 4.7729E-02 4.1090E-01 4.5863E-01 1.9460E-02 3.1399E-01 0.4077 0.7641 0.6422 6.1976E-02 13 5.40 6.00 3.9618E-02 3.3899E-01 3.7861E-01 1.6053E-02 2.5551E-01 0.4052 0.7537 0.6325 6.2827E-02 15 6.31 7.00 3.2681E-02 2.7823E-01 3.1091E-01 1.3175E-02 2.0729E-01 0.4031 0.7451 0.6244 6.3555E-02 17 7.21 8.00 2.6821E-02 2.2736E-01 2.5418E-01 1.0766E-02 1.6774E-01 0.4014 0.7377 0.6175 6.4181E-02 19 8.11 9.00 2.1916E-02 1.8511E-01 2.0703E-01 8.7646E-03 1.3542E-01 0.3999 0.7316 0.6118 6.4722E-02 21 9.01 10.00 1.7842E-02 1.5024E-01 1.6808E-01 7.1131E-03 1.0912E-01 0.3987 0.7263 0.6069 6.5188E-02 K-functions (units of 1/meter) at 365.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.10651 0.13347 0.13084 0.12552 0.17354 0.17629 0.16354 1.000 1.010 1.005 0.12575 0.14553 0.14356 0.14661 0.18295 0.18513 0.17545 2.000 2.010 2.005 0.14829 0.16221 0.16079 0.16267 0.19019 0.19189 0.18426 3.000 3.010 3.005 0.16330 0.17381 0.17273 0.17404 0.19587 0.19726 0.19103 4.000 4.010 4.005 0.17427 0.18256 0.18170 0.18268 0.20052 0.20168 0.19648 5.000 5.010 5.005 0.18277 0.18948 0.18878 0.18956 0.20440 0.20538 0.20099 6.000 6.010 6.005 0.18959 0.19514 0.19456 0.19520 0.20770 0.20853 0.20479 7.000 7.010 7.005 0.19523 0.19987 0.19938 0.19992 0.21052 0.21124 0.20804 8.000 8.010 8.005 0.19995 0.20386 0.20344 0.20390 0.21295 0.21357 0.21082 9.000 9.010 9.005 0.20394 0.20725 0.20690 0.20730 0.21505 0.21558 0.21321 10.000 10.010 10.005 0.20734 0.21017 0.20987 0.21022 0.21686 0.21732 0.21528 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 365.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 3.58946E-01 6.09183E-03 2.69438E-02 3.30356E-02 7.40008E-03 0.075064 9 1 10.0 0.0 180.0 1.57372E-01 6.18337E-03 1.23991E-02 1.85825E-02 7.51128E-03 0.078789 9 4 10.0 45.0 135.0 1.75868E-01 6.15992E-03 1.41326E-02 2.02925E-02 7.48279E-03 0.080359 9 7 10.0 90.0 90.0 2.45862E-01 6.14903E-03 2.07518E-02 2.69008E-02 7.46956E-03 0.084404 8 1 20.0 0.0 180.0 9.40796E-02 6.24141E-03 4.62657E-03 1.08680E-02 7.58177E-03 0.049177 8 4 20.0 45.0 135.0 1.04982E-01 6.18515E-03 5.75495E-03 1.19401E-02 7.51343E-03 0.054818 8 7 20.0 90.0 90.0 1.47534E-01 6.18132E-03 1.06958E-02 1.68771E-02 7.50879E-03 0.072497 7 1 30.0 0.0 180.0 6.62879E-02 6.33501E-03 2.01201E-03 8.34701E-03 7.69548E-03 0.030353 7 4 30.0 45.0 135.0 7.23899E-02 6.33539E-03 2.40905E-03 8.74444E-03 7.69594E-03 0.033279 7 7 30.0 90.0 90.0 9.51598E-02 6.30121E-03 4.29461E-03 1.05958E-02 7.65442E-03 0.045131 6 1 40.0 0.0 180.0 5.44534E-02 6.41147E-03 1.58097E-03 7.99245E-03 7.78837E-03 0.029034 6 4 40.0 45.0 135.0 5.83023E-02 6.40716E-03 1.72058E-03 8.12774E-03 7.78312E-03 0.029511 6 7 40.0 90.0 90.0 7.15709E-02 6.37978E-03 2.33651E-03 8.71629E-03 7.74987E-03 0.032646 5 1 50.0 0.0 180.0 5.04361E-02 6.53137E-03 2.03696E-03 8.56833E-03 7.93401E-03 0.040387 5 4 50.0 45.0 135.0 5.32694E-02 6.49346E-03 2.15075E-03 8.64421E-03 7.88796E-03 0.040375 5 7 50.0 90.0 90.0 6.23708E-02 6.46988E-03 2.54353E-03 9.01341E-03 7.85932E-03 0.040781 4 1 60.0 0.0 180.0 5.23137E-02 6.47822E-03 4.01525E-03 1.04935E-02 7.86944E-03 0.076753 4 4 60.0 45.0 135.0 5.45758E-02 6.43191E-03 4.13981E-03 1.05717E-02 7.81319E-03 0.075854 4 7 60.0 90.0 90.0 6.17473E-02 6.47863E-03 4.64028E-03 1.11189E-02 7.86994E-03 0.075150 3 1 70.0 0.0 180.0 6.27390E-02 6.05909E-03 1.00398E-02 1.60989E-02 7.36031E-03 0.160025 3 4 70.0 45.0 135.0 6.43973E-02 6.07763E-03 1.02790E-02 1.63567E-02 7.38282E-03 0.159619 3 7 70.0 90.0 90.0 7.02308E-02 6.10560E-03 1.11818E-02 1.72874E-02 7.41680E-03 0.159215 2 1 80.0 0.0 180.0 9.35592E-02 5.22776E-03 2.38503E-02 2.90781E-02 6.35045E-03 0.254922 2 4 80.0 45.0 135.0 9.40105E-02 5.22737E-03 2.47544E-02 2.99818E-02 6.34997E-03 0.263315 2 7 80.0 90.0 90.0 9.77463E-02 5.23715E-03 2.65022E-02 3.17393E-02 6.36185E-03 0.271133 1 1 87.5 0.0 180.0 1.41043E-01 4.23960E-03 4.15582E-02 4.57978E-02 5.15007E-03 0.294649 1 4 87.5 45.0 135.0 1.39354E-01 4.03197E-03 4.43517E-02 4.83837E-02 4.89785E-03 0.318267 1 7 87.5 90.0 90.0 1.39095E-01 4.45250E-03 4.67493E-02 5.12018E-02 5.40869E-03 0.336097 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 365.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 3.304E-02 3.589E-01 9.342E-02 9.515E-02 1.018E-01 4.013E-02 1.467E+00 6.092E-03 7.400E-03 1 0.00 0.00 1.130E-02 2.950E+00 2.211E-02 2.377E-02 2.565E-02 1.380E-02 3.923E+00 3 0.90 1.00 9.539E-03 2.121E+00 2.037E-02 2.239E-02 2.550E-02 1.392E-02 4.061E+00 5 1.80 2.00 7.967E-03 1.521E+00 1.869E-02 2.066E-02 2.371E-02 1.401E-02 4.163E+00 7 2.70 3.00 6.603E-03 1.092E+00 1.657E-02 1.836E-02 2.109E-02 1.409E-02 4.244E+00 9 3.60 4.00 5.440E-03 7.857E-01 1.438E-02 1.594E-02 1.828E-02 1.415E-02 4.309E+00 11 4.50 5.00 4.459E-03 5.681E-01 1.231E-02 1.362E-02 1.556E-02 1.420E-02 4.364E+00 13 5.40 6.00 3.640E-03 4.131E-01 1.042E-02 1.150E-02 1.308E-02 1.425E-02 4.410E+00 15 6.31 7.00 2.961E-03 3.024E-01 8.745E-03 9.619E-03 1.088E-02 1.429E-02 4.449E+00 17 7.21 8.00 2.402E-03 2.229E-01 7.290E-03 7.988E-03 8.982E-03 1.432E-02 4.483E+00 19 8.11 9.00 1.943E-03 1.654E-01 6.042E-03 6.593E-03 7.366E-03 1.435E-02 4.511E+00 21 9.01 10.00 1.568E-03 1.237E-01 4.983E-03 5.413E-03 6.009E-03 1.437E-02 4.536E+00 Waveband 2 of 40 completed in 4.1 sec. * * * * * Output for wavelength band 3 (370.0 to 380.0 nm; nominal wavelength = 375.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 375.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 370.0 nm to 380.0 nm: Ed(diffuse) = 3.234E-01 Ed(direct) = 5.029E-01 Ed(total) = 8.263E-01 Absorption Coefficients of Individual Components at 375.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0115 0.0619 0.0512 0.1246 3 0.872 1.000 0.0115 0.0619 0.0512 0.1246 5 1.744 2.000 0.0115 0.0619 0.0512 0.1246 7 2.616 3.000 0.0115 0.0619 0.0512 0.1246 9 3.488 4.000 0.0115 0.0619 0.0512 0.1246 11 4.360 5.000 0.0115 0.0619 0.0512 0.1246 13 5.232 6.000 0.0115 0.0619 0.0512 0.1246 15 6.104 7.000 0.0115 0.0619 0.0512 0.1246 17 6.976 8.000 0.0115 0.0619 0.0512 0.1246 19 7.848 9.000 0.0115 0.0619 0.0512 0.1246 21 8.720 10.000 0.0115 0.0619 0.0512 0.1246 Scattering Coefficients of Individual Components at 375.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0100 0.7374 0.0000 0.7475 3 0.872 1.000 0.0100 0.7374 0.0000 0.7475 5 1.744 2.000 0.0100 0.7374 0.0000 0.7475 7 2.616 3.000 0.0100 0.7374 0.0000 0.7475 9 3.488 4.000 0.0100 0.7374 0.0000 0.7475 11 4.360 5.000 0.0100 0.7374 0.0000 0.7475 13 5.232 6.000 0.0100 0.7374 0.0000 0.7475 15 6.104 7.000 0.0100 0.7374 0.0000 0.7475 17 6.976 8.000 0.0100 0.7374 0.0000 0.7475 19 7.848 9.000 0.0100 0.7374 0.0000 0.7475 21 8.720 10.000 0.0100 0.7374 0.0000 0.7475 Backscattering Coefficients of Individual Components at 375.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00501 0.01475 0.00000 0.01975 3 0.872 1.000 0.00501 0.01475 0.00000 0.01975 5 1.744 2.000 0.00501 0.01475 0.00000 0.01975 7 2.616 3.000 0.00501 0.01475 0.00000 0.01975 9 3.488 4.000 0.00501 0.01475 0.00000 0.01975 11 4.360 5.000 0.00501 0.01475 0.00000 0.01975 13 5.232 6.000 0.00501 0.01475 0.00000 0.01975 15 6.104 7.000 0.00501 0.01475 0.00000 0.01975 17 6.976 8.000 0.00501 0.01475 0.00000 0.01975 19 7.848 9.000 0.00501 0.01475 0.00000 0.01975 21 8.720 10.000 0.00501 0.01475 0.00000 0.01975 Summary of Inherent Optical Properties at 375.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1246 0.7475 0.8720 0.8571 0.01975 0.02643 3 0.872 1.000 0.1246 0.7475 0.8720 0.8571 0.01975 0.02643 5 1.744 2.000 0.1246 0.7475 0.8720 0.8571 0.01975 0.02643 7 2.616 3.000 0.1246 0.7475 0.8720 0.8571 0.01975 0.02643 9 3.488 4.000 0.1246 0.7475 0.8720 0.8571 0.01975 0.02643 11 4.360 5.000 0.1246 0.7475 0.8720 0.8571 0.01975 0.02643 13 5.232 6.000 0.1246 0.7475 0.8720 0.8571 0.01975 0.02643 15 6.104 7.000 0.1246 0.7475 0.8720 0.8571 0.01975 0.02643 17 6.976 8.000 0.1246 0.7475 0.8720 0.8571 0.01975 0.02643 19 7.848 9.000 0.1246 0.7475 0.8720 0.8571 0.01975 0.02643 21 8.720 10.000 0.1246 0.7475 0.8720 0.8571 0.01975 0.02643 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4931E-01 8 20.00 8.2651E-01 7 30.00 6.6372E-01 6 40.00 4.9862E-01 5 50.00 3.5656E-01 4 60.00 2.4748E-01 3 70.00 1.7004E-01 2 80.00 1.1813E-01 1 87.50 9.0718E-02 1 92.50 7.5604E-02 2 100.00 6.0046E-02 3 110.00 4.6010E-02 4 120.00 3.6729E-02 5 130.00 3.0663E-02 6 140.00 2.6709E-02 7 150.00 2.4168E-02 8 160.00 2.2602E-02 9 170.00 2.1752E-02 10 180.00 2.1450E-02 Asymptotic AOP values are MUu(inf) = 0.3905 MUd(inf) = 0.6926 MU(inf) = 0.5744 R(inf) = 0.0691 Lu(inf)/Ed(inf) = 0.014646 (1/sr) k(inf) = 0.2169 (1/m) absorp(check) = 0.1246 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 375.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.2453E-01 1.1116E+00 1.2361E+00 4.8246E-02 8.2628E-01 0.3874 0.7433 0.6294 5.8389E-02 1 0.00 0.00 1.0243E-01 9.3679E-01 1.0392E+00 4.4906E-02 8.2293E-01 0.4384 0.8785 0.7487 5.4568E-02 3 0.87 1.00 9.2628E-02 8.2661E-01 9.1924E-01 3.9610E-02 6.9561E-01 0.4276 0.8415 0.7136 5.6943E-02 5 1.74 2.00 8.1591E-02 7.1596E-01 7.9755E-01 3.4293E-02 5.8340E-01 0.4203 0.8148 0.6885 5.8782E-02 7 2.62 3.00 7.0610E-02 6.1195E-01 6.8256E-01 2.9308E-02 4.8632E-01 0.4151 0.7947 0.6696 6.0264E-02 9 3.49 4.00 6.0349E-02 5.1799E-01 5.7833E-01 2.4807E-02 4.0340E-01 0.4111 0.7788 0.6546 6.1494E-02 11 4.36 5.00 5.1091E-02 4.3513E-01 4.8622E-01 2.0840E-02 3.3326E-01 0.4079 0.7659 0.6425 6.2533E-02 13 5.23 6.00 4.2930E-02 3.6329E-01 4.0622E-01 1.7400E-02 2.7435E-01 0.4053 0.7552 0.6325 6.3420E-02 15 6.10 7.00 3.5850E-02 3.0177E-01 3.3762E-01 1.4453E-02 2.2519E-01 0.4032 0.7462 0.6242 6.4184E-02 17 6.98 8.00 2.9785E-02 2.4959E-01 2.7938E-01 1.1954E-02 1.8436E-01 0.4014 0.7386 0.6171 6.4843E-02 19 7.85 9.00 2.4639E-02 2.0568E-01 2.3032E-01 9.8513E-03 1.5060E-01 0.3998 0.7322 0.6111 6.5414E-02 21 8.72 10.00 2.0305E-02 1.6895E-01 1.8926E-01 8.0923E-03 1.2278E-01 0.3985 0.7267 0.6060 6.5910E-02 K-functions (units of 1/meter) at 375.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.09861 0.12529 0.12266 0.11674 0.16372 0.16643 0.15367 1.000 1.010 1.005 0.11543 0.13537 0.13336 0.13609 0.17240 0.17459 0.16474 2.000 2.010 2.005 0.13693 0.15117 0.14971 0.15140 0.17923 0.18096 0.17310 3.000 3.010 3.005 0.15148 0.16233 0.16121 0.16238 0.18465 0.18608 0.17961 4.000 4.010 4.005 0.16222 0.17083 0.16993 0.17081 0.18911 0.19031 0.18489 5.000 5.010 5.005 0.17059 0.17760 0.17687 0.17757 0.19287 0.19389 0.18929 6.000 6.010 6.005 0.17736 0.18317 0.18256 0.18314 0.19608 0.19696 0.19301 7.000 7.010 7.005 0.18295 0.18783 0.18731 0.18781 0.19884 0.19959 0.19620 8.000 8.010 8.005 0.18766 0.19179 0.19135 0.19178 0.20122 0.20188 0.19895 9.000 9.010 9.005 0.19166 0.19518 0.19480 0.19517 0.20329 0.20386 0.20133 10.000 10.010 10.005 0.19509 0.19809 0.19777 0.19810 0.20509 0.20559 0.20340 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 375.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 3.42494E-01 6.15722E-03 2.75683E-02 3.37255E-02 7.45177E-03 0.080493 9 1 10.0 0.0 180.0 1.50158E-01 6.24866E-03 1.25845E-02 1.88331E-02 7.56243E-03 0.083808 9 4 10.0 45.0 135.0 1.67810E-01 6.22545E-03 1.43644E-02 2.05899E-02 7.53435E-03 0.085599 9 7 10.0 90.0 90.0 2.34576E-01 6.21569E-03 2.11796E-02 2.73953E-02 7.52253E-03 0.090289 8 1 20.0 0.0 180.0 8.97673E-02 6.30765E-03 4.60561E-03 1.09133E-02 7.63382E-03 0.051306 8 4 20.0 45.0 135.0 1.00170E-01 6.25162E-03 5.75630E-03 1.20079E-02 7.56601E-03 0.057465 8 7 20.0 90.0 90.0 1.40772E-01 6.24985E-03 1.08216E-02 1.70715E-02 7.56388E-03 0.076874 7 1 30.0 0.0 180.0 6.32495E-02 6.40307E-03 1.94391E-03 8.34698E-03 7.74931E-03 0.030734 7 4 30.0 45.0 135.0 6.90718E-02 6.40463E-03 2.34149E-03 8.74612E-03 7.75120E-03 0.033899 7 7 30.0 90.0 90.0 9.07980E-02 6.37308E-03 4.24790E-03 1.06210E-02 7.71301E-03 0.046784 6 1 40.0 0.0 180.0 5.19574E-02 6.48212E-03 1.50974E-03 7.99186E-03 7.84499E-03 0.029057 6 4 40.0 45.0 135.0 5.56299E-02 6.47938E-03 1.64449E-03 8.12387E-03 7.84166E-03 0.029561 6 7 40.0 90.0 90.0 6.82904E-02 6.45588E-03 2.24654E-03 8.70243E-03 7.81322E-03 0.032897 5 1 50.0 0.0 180.0 4.81243E-02 6.60497E-03 1.94375E-03 8.54872E-03 7.99366E-03 0.040390 5 4 50.0 45.0 135.0 5.08277E-02 6.56863E-03 2.05217E-03 8.62080E-03 7.94968E-03 0.040375 5 7 50.0 90.0 90.0 5.95119E-02 6.54998E-03 2.42772E-03 8.97771E-03 7.92711E-03 0.040794 4 1 60.0 0.0 180.0 4.99158E-02 6.55273E-03 3.83120E-03 1.03839E-02 7.93044E-03 0.076753 4 4 60.0 45.0 135.0 5.20742E-02 6.50819E-03 3.95006E-03 1.04582E-02 7.87653E-03 0.075854 4 7 60.0 90.0 90.0 5.89171E-02 6.56158E-03 4.42759E-03 1.09892E-02 7.94114E-03 0.075150 3 1 70.0 0.0 180.0 5.98633E-02 6.12985E-03 9.57965E-03 1.57095E-02 7.41865E-03 0.160025 3 4 70.0 45.0 135.0 6.14455E-02 6.15108E-03 9.80789E-03 1.59590E-02 7.44433E-03 0.159619 3 7 70.0 90.0 90.0 6.70116E-02 6.18600E-03 1.06693E-02 1.68552E-02 7.48660E-03 0.159215 2 1 80.0 0.0 180.0 8.92707E-02 5.28938E-03 2.27571E-02 2.80465E-02 6.40147E-03 0.254922 2 4 80.0 45.0 135.0 8.97014E-02 5.29133E-03 2.36197E-02 2.89111E-02 6.40383E-03 0.263315 2 7 80.0 90.0 90.0 9.32659E-02 5.30750E-03 2.52874E-02 3.05949E-02 6.42339E-03 0.271133 1 1 87.5 0.0 180.0 1.34578E-01 4.28960E-03 3.96533E-02 4.39429E-02 5.19149E-03 0.294649 1 4 87.5 45.0 135.0 1.32966E-01 4.08149E-03 4.23188E-02 4.64003E-02 4.93961E-03 0.318267 1 7 87.5 90.0 90.0 1.32719E-01 4.51294E-03 4.46065E-02 4.91194E-02 5.46178E-03 0.336097 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 375.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 3.373E-02 3.425E-01 8.926E-02 9.092E-02 9.723E-02 4.082E-02 1.431E+00 6.157E-03 7.452E-03 1 0.00 0.00 1.142E-02 3.012E+00 2.231E-02 2.403E-02 2.600E-02 1.388E-02 3.931E+00 3 0.87 1.00 9.741E-03 2.195E+00 2.065E-02 2.274E-02 2.597E-02 1.400E-02 4.066E+00 5 1.74 2.00 8.226E-03 1.596E+00 1.914E-02 2.122E-02 2.442E-02 1.410E-02 4.169E+00 7 2.62 3.00 6.895E-03 1.160E+00 1.717E-02 1.908E-02 2.199E-02 1.418E-02 4.251E+00 9 3.49 4.00 5.746E-03 8.458E-01 1.509E-02 1.677E-02 1.931E-02 1.424E-02 4.317E+00 11 4.36 5.00 4.765E-03 6.191E-01 1.308E-02 1.451E-02 1.665E-02 1.430E-02 4.373E+00 13 5.23 6.00 3.936E-03 4.555E-01 1.121E-02 1.241E-02 1.418E-02 1.435E-02 4.420E+00 15 6.10 7.00 3.240E-03 3.372E-01 9.530E-03 1.052E-02 1.195E-02 1.439E-02 4.461E+00 17 6.98 8.00 2.659E-03 2.512E-01 8.045E-03 8.845E-03 9.989E-03 1.442E-02 4.496E+00 19 7.85 9.00 2.177E-03 1.884E-01 6.752E-03 7.393E-03 8.297E-03 1.445E-02 4.526E+00 21 8.72 10.00 1.778E-03 1.423E-01 5.639E-03 6.148E-03 6.855E-03 1.448E-02 4.552E+00 Waveband 3 of 40 completed in 4.0 sec. * * * * * Output for wavelength band 4 (380.0 to 390.0 nm; nominal wavelength = 385.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 385.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 380.0 nm to 390.0 nm: Ed(diffuse) = 2.732E-01 Ed(direct) = 4.583E-01 Ed(total) = 7.315E-01 Absorption Coefficients of Individual Components at 385.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0094 0.0650 0.0445 0.1189 3 0.846 1.000 0.0094 0.0650 0.0445 0.1189 5 1.692 2.000 0.0094 0.0650 0.0445 0.1189 7 2.538 3.000 0.0094 0.0650 0.0445 0.1189 9 3.384 4.000 0.0094 0.0650 0.0445 0.1189 11 4.231 5.000 0.0094 0.0650 0.0445 0.1189 13 5.077 6.000 0.0094 0.0650 0.0445 0.1189 15 5.923 7.000 0.0094 0.0650 0.0445 0.1189 17 6.769 8.000 0.0094 0.0650 0.0445 0.1189 19 7.615 9.000 0.0094 0.0650 0.0445 0.1189 21 8.461 10.000 0.0094 0.0650 0.0445 0.1189 Scattering Coefficients of Individual Components at 385.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0089 0.7183 0.0000 0.7272 3 0.846 1.000 0.0089 0.7183 0.0000 0.7272 5 1.692 2.000 0.0089 0.7183 0.0000 0.7272 7 2.538 3.000 0.0089 0.7183 0.0000 0.7272 9 3.384 4.000 0.0089 0.7183 0.0000 0.7272 11 4.231 5.000 0.0089 0.7183 0.0000 0.7272 13 5.077 6.000 0.0089 0.7183 0.0000 0.7272 15 5.923 7.000 0.0089 0.7183 0.0000 0.7272 17 6.769 8.000 0.0089 0.7183 0.0000 0.7272 19 7.615 9.000 0.0089 0.7183 0.0000 0.7272 21 8.461 10.000 0.0089 0.7183 0.0000 0.7272 Backscattering Coefficients of Individual Components at 385.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00447 0.01437 0.00000 0.01883 3 0.846 1.000 0.00447 0.01437 0.00000 0.01883 5 1.692 2.000 0.00447 0.01437 0.00000 0.01883 7 2.538 3.000 0.00447 0.01437 0.00000 0.01883 9 3.384 4.000 0.00447 0.01437 0.00000 0.01883 11 4.231 5.000 0.00447 0.01437 0.00000 0.01883 13 5.077 6.000 0.00447 0.01437 0.00000 0.01883 15 5.923 7.000 0.00447 0.01437 0.00000 0.01883 17 6.769 8.000 0.00447 0.01437 0.00000 0.01883 19 7.615 9.000 0.00447 0.01437 0.00000 0.01883 21 8.461 10.000 0.00447 0.01437 0.00000 0.01883 Summary of Inherent Optical Properties at 385.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1189 0.7272 0.8461 0.8595 0.01883 0.02590 3 0.846 1.000 0.1189 0.7272 0.8461 0.8595 0.01883 0.02590 5 1.692 2.000 0.1189 0.7272 0.8461 0.8595 0.01883 0.02590 7 2.538 3.000 0.1189 0.7272 0.8461 0.8595 0.01883 0.02590 9 3.384 4.000 0.1189 0.7272 0.8461 0.8595 0.01883 0.02590 11 4.231 5.000 0.1189 0.7272 0.8461 0.8595 0.01883 0.02590 13 5.077 6.000 0.1189 0.7272 0.8461 0.8595 0.01883 0.02590 15 5.923 7.000 0.1189 0.7272 0.8461 0.8595 0.01883 0.02590 17 6.769 8.000 0.1189 0.7272 0.8461 0.8595 0.01883 0.02590 19 7.615 9.000 0.1189 0.7272 0.8461 0.8595 0.01883 0.02590 21 8.461 10.000 0.1189 0.7272 0.8461 0.8595 0.01883 0.02590 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4988E-01 8 20.00 8.2831E-01 7 30.00 6.6674E-01 6 40.00 5.0231E-01 5 50.00 3.6027E-01 4 60.00 2.5073E-01 3 70.00 1.7265E-01 2 80.00 1.2011E-01 1 87.50 9.2284E-02 1 92.50 7.6903E-02 2 100.00 6.1056E-02 3 110.00 4.6737E-02 4 120.00 3.7253E-02 5 130.00 3.1046E-02 6 140.00 2.6997E-02 7 150.00 2.4391E-02 8 160.00 2.2784E-02 9 170.00 2.1911E-02 10 180.00 2.1601E-02 Asymptotic AOP values are MUu(inf) = 0.3898 MUd(inf) = 0.6914 MU(inf) = 0.5726 R(inf) = 0.0696 Lu(inf)/Ed(inf) = 0.014659 (1/sr) k(inf) = 0.2077 (1/m) absorp(check) = 0.1189 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 385.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.0754E-01 9.7312E-01 1.0807E+00 4.2286E-02 7.3151E-01 0.3932 0.7517 0.6378 5.7807E-02 1 0.00 0.00 9.0827E-02 8.2817E-01 9.1900E-01 3.9816E-02 7.2903E-01 0.4384 0.8803 0.7500 5.4615E-02 3 0.85 1.00 8.2719E-02 7.3605E-01 8.1877E-01 3.5392E-02 6.2129E-01 0.4279 0.8441 0.7156 5.6965E-02 5 1.69 2.00 7.3497E-02 6.4291E-01 7.1641E-01 3.0909E-02 5.2559E-01 0.4206 0.8175 0.6905 5.8809E-02 7 2.54 3.00 6.4199E-02 5.5447E-01 6.1867E-01 2.6660E-02 4.4205E-01 0.4153 0.7972 0.6714 6.0309E-02 9 3.38 4.00 5.5399E-02 4.7372E-01 5.2912E-01 2.2781E-02 3.7005E-01 0.4112 0.7811 0.6563 6.1561E-02 11 4.23 5.00 4.7362E-02 4.0175E-01 4.4911E-01 1.9323E-02 3.0854E-01 0.4080 0.7680 0.6440 6.2625E-02 13 5.08 6.00 4.0192E-02 3.3867E-01 3.7886E-01 1.6291E-02 2.5640E-01 0.4053 0.7571 0.6338 6.3537E-02 15 5.92 7.00 3.3899E-02 2.8406E-01 3.1796E-01 1.3666E-02 2.1244E-01 0.4031 0.7479 0.6252 6.4326E-02 17 6.77 8.00 2.8446E-02 2.3725E-01 2.6570E-01 1.1415E-02 1.7558E-01 0.4013 0.7401 0.6179 6.5010E-02 19 7.62 9.00 2.3768E-02 1.9743E-01 2.2120E-01 9.4996E-03 1.4480E-01 0.3997 0.7334 0.6117 6.5604E-02 21 8.46 10.00 1.9785E-02 1.6379E-01 1.8357E-01 7.8811E-03 1.1919E-01 0.3983 0.7277 0.6063 6.6123E-02 K-functions (units of 1/meter) at 385.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.09246 0.11877 0.11617 0.10981 0.15587 0.15853 0.14582 1.000 1.010 1.005 0.10728 0.12738 0.12535 0.12774 0.16396 0.16615 0.15618 2.000 2.010 2.005 0.12788 0.14240 0.14091 0.14239 0.17042 0.17218 0.16416 3.000 3.010 3.005 0.14200 0.15315 0.15199 0.15302 0.17561 0.17706 0.17042 4.000 4.010 4.005 0.15251 0.16140 0.16047 0.16125 0.17991 0.18114 0.17554 5.000 5.010 5.005 0.16074 0.16802 0.16725 0.16788 0.18356 0.18460 0.17983 6.000 6.010 6.005 0.16743 0.17349 0.17285 0.17336 0.18668 0.18758 0.18348 7.000 7.010 7.005 0.17299 0.17809 0.17754 0.17799 0.18938 0.19016 0.18662 8.000 8.010 8.005 0.17768 0.18200 0.18154 0.18193 0.19172 0.19240 0.18933 9.000 9.010 9.005 0.18167 0.18537 0.18497 0.18531 0.19376 0.19435 0.19169 10.000 10.010 10.005 0.18510 0.18828 0.18793 0.18824 0.19554 0.19606 0.19375 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 385.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 2.89286E-01 5.44888E-03 2.48167E-02 3.02656E-02 7.44886E-03 0.085786 9 1 10.0 0.0 180.0 1.26831E-01 5.52895E-03 1.12500E-02 1.67790E-02 7.55832E-03 0.088701 9 4 10.0 45.0 135.0 1.41742E-01 5.50879E-03 1.28572E-02 1.83660E-02 7.53076E-03 0.090708 9 7 10.0 90.0 90.0 1.98120E-01 5.50110E-03 1.90249E-02 2.45260E-02 7.52025E-03 0.096027 8 1 20.0 0.0 180.0 7.58216E-02 5.58138E-03 4.04748E-03 9.62885E-03 7.62998E-03 0.053382 8 4 20.0 45.0 135.0 8.46084E-02 5.53243E-03 5.08035E-03 1.06128E-02 7.56307E-03 0.060046 8 7 20.0 90.0 90.0 1.18902E-01 5.53248E-03 9.64776E-03 1.51802E-02 7.56314E-03 0.081140 7 1 30.0 0.0 180.0 5.34234E-02 5.66640E-03 1.66178E-03 7.32818E-03 7.74622E-03 0.031106 7 4 30.0 45.0 135.0 5.83412E-02 5.66869E-03 2.01303E-03 7.68171E-03 7.74934E-03 0.034504 7 7 30.0 90.0 90.0 7.66922E-02 5.64307E-03 3.71160E-03 9.35467E-03 7.71432E-03 0.048396 6 1 40.0 0.0 180.0 4.38856E-02 5.73767E-03 1.27621E-03 7.01388E-03 7.84364E-03 0.029080 6 4 40.0 45.0 135.0 4.69876E-02 5.73648E-03 1.39130E-03 7.12778E-03 7.84202E-03 0.029610 6 7 40.0 90.0 90.0 5.76812E-02 5.71893E-03 1.91164E-03 7.63057E-03 7.81803E-03 0.033142 5 1 50.0 0.0 180.0 4.06480E-02 5.84766E-03 1.64190E-03 7.48956E-03 7.99400E-03 0.040393 5 4 50.0 45.0 135.0 4.29314E-02 5.81703E-03 1.73336E-03 7.55038E-03 7.95213E-03 0.040375 5 7 50.0 90.0 90.0 5.02665E-02 5.80459E-03 2.05121E-03 7.85580E-03 7.93513E-03 0.040807 4 1 60.0 0.0 180.0 4.21612E-02 5.80259E-03 3.23601E-03 9.03860E-03 7.93239E-03 0.076753 4 4 60.0 45.0 135.0 4.39843E-02 5.76494E-03 3.33640E-03 9.10134E-03 7.88093E-03 0.075854 4 7 60.0 90.0 90.0 4.97640E-02 5.81706E-03 3.73974E-03 9.55680E-03 7.95218E-03 0.075150 3 1 70.0 0.0 180.0 5.05633E-02 5.42904E-03 8.09141E-03 1.35204E-02 7.42173E-03 0.160025 3 4 70.0 45.0 135.0 5.18997E-02 5.44978E-03 8.28419E-03 1.37340E-02 7.45009E-03 0.159619 3 7 70.0 90.0 90.0 5.66011E-02 5.48599E-03 9.01174E-03 1.44977E-02 7.49959E-03 0.159215 2 1 80.0 0.0 180.0 7.54022E-02 4.68520E-03 1.92217E-02 2.39069E-02 6.40487E-03 0.254922 2 4 80.0 45.0 135.0 7.57659E-02 4.68881E-03 1.99503E-02 2.46391E-02 6.40980E-03 0.263315 2 7 80.0 90.0 90.0 7.87767E-02 4.70815E-03 2.13589E-02 2.60671E-02 6.43624E-03 0.271133 1 1 87.5 0.0 180.0 1.13671E-01 3.79979E-03 3.34930E-02 3.72928E-02 5.19448E-03 0.294649 1 4 87.5 45.0 135.0 1.12310E-01 3.61701E-03 3.57444E-02 3.93614E-02 4.94461E-03 0.318267 1 7 87.5 90.0 90.0 1.12101E-01 4.00402E-03 3.76767E-02 4.16807E-02 5.47367E-03 0.336097 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 385.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 3.027E-02 2.893E-01 7.548E-02 7.689E-02 8.222E-02 4.137E-02 1.397E+00 5.449E-03 7.449E-03 1 0.00 0.00 1.011E-02 2.707E+00 1.972E-02 2.129E-02 2.309E-02 1.387E-02 3.939E+00 3 0.85 1.00 8.691E-03 1.996E+00 1.832E-02 2.022E-02 2.315E-02 1.399E-02 4.072E+00 5 1.69 2.00 7.404E-03 1.467E+00 1.712E-02 1.902E-02 2.196E-02 1.409E-02 4.175E+00 7 2.54 3.00 6.263E-03 1.079E+00 1.551E-02 1.727E-02 1.998E-02 1.417E-02 4.257E+00 9 3.38 4.00 5.268E-03 7.950E-01 1.377E-02 1.534E-02 1.772E-02 1.424E-02 4.324E+00 11 4.23 5.00 4.410E-03 5.880E-01 1.205E-02 1.341E-02 1.544E-02 1.429E-02 4.381E+00 13 5.08 6.00 3.677E-03 4.369E-01 1.044E-02 1.159E-02 1.329E-02 1.434E-02 4.430E+00 15 5.92 7.00 3.056E-03 3.265E-01 8.962E-03 9.920E-03 1.132E-02 1.439E-02 4.472E+00 17 6.77 8.00 2.532E-03 2.455E-01 7.643E-03 8.430E-03 9.561E-03 1.442E-02 4.507E+00 19 7.62 9.00 2.093E-03 1.857E-01 6.481E-03 7.120E-03 8.025E-03 1.445E-02 4.539E+00 21 8.46 10.00 1.726E-03 1.414E-01 5.469E-03 5.982E-03 6.699E-03 1.448E-02 4.566E+00 Waveband 4 of 40 completed in 3.9 sec. * * * * * Output for wavelength band 5 (390.0 to 400.0 nm; nominal wavelength = 395.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 395.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 390.0 nm to 400.0 nm: Ed(diffuse) = 3.240E-01 Ed(direct) = 5.826E-01 Ed(total) = 9.066E-01 Absorption Coefficients of Individual Components at 395.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0081 0.0691 0.0387 0.1159 3 0.824 1.000 0.0081 0.0691 0.0387 0.1159 5 1.648 2.000 0.0081 0.0691 0.0387 0.1159 7 2.472 3.000 0.0081 0.0691 0.0387 0.1159 9 3.296 4.000 0.0081 0.0691 0.0387 0.1159 11 4.120 5.000 0.0081 0.0691 0.0387 0.1159 13 4.944 6.000 0.0081 0.0691 0.0387 0.1159 15 5.768 7.000 0.0081 0.0691 0.0387 0.1159 17 6.592 8.000 0.0081 0.0691 0.0387 0.1159 19 7.416 9.000 0.0081 0.0691 0.0387 0.1159 21 8.240 10.000 0.0081 0.0691 0.0387 0.1159 Scattering Coefficients of Individual Components at 395.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0080 0.7001 0.0000 0.7081 3 0.824 1.000 0.0080 0.7001 0.0000 0.7081 5 1.648 2.000 0.0080 0.7001 0.0000 0.7081 7 2.472 3.000 0.0080 0.7001 0.0000 0.7081 9 3.296 4.000 0.0080 0.7001 0.0000 0.7081 11 4.120 5.000 0.0080 0.7001 0.0000 0.7081 13 4.944 6.000 0.0080 0.7001 0.0000 0.7081 15 5.768 7.000 0.0080 0.7001 0.0000 0.7081 17 6.592 8.000 0.0080 0.7001 0.0000 0.7081 19 7.416 9.000 0.0080 0.7001 0.0000 0.7081 21 8.240 10.000 0.0080 0.7001 0.0000 0.7081 Backscattering Coefficients of Individual Components at 395.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00400 0.01400 0.00000 0.01800 3 0.824 1.000 0.00400 0.01400 0.00000 0.01800 5 1.648 2.000 0.00400 0.01400 0.00000 0.01800 7 2.472 3.000 0.00400 0.01400 0.00000 0.01800 9 3.296 4.000 0.00400 0.01400 0.00000 0.01800 11 4.120 5.000 0.00400 0.01400 0.00000 0.01800 13 4.944 6.000 0.00400 0.01400 0.00000 0.01800 15 5.768 7.000 0.00400 0.01400 0.00000 0.01800 17 6.592 8.000 0.00400 0.01400 0.00000 0.01800 19 7.416 9.000 0.00400 0.01400 0.00000 0.01800 21 8.240 10.000 0.00400 0.01400 0.00000 0.01800 Summary of Inherent Optical Properties at 395.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1159 0.7081 0.8240 0.8593 0.01800 0.02542 3 0.824 1.000 0.1159 0.7081 0.8240 0.8593 0.01800 0.02542 5 1.648 2.000 0.1159 0.7081 0.8240 0.8593 0.01800 0.02542 7 2.472 3.000 0.1159 0.7081 0.8240 0.8593 0.01800 0.02542 9 3.296 4.000 0.1159 0.7081 0.8240 0.8593 0.01800 0.02542 11 4.120 5.000 0.1159 0.7081 0.8240 0.8593 0.01800 0.02542 13 4.944 6.000 0.1159 0.7081 0.8240 0.8593 0.01800 0.02542 15 5.768 7.000 0.1159 0.7081 0.8240 0.8593 0.01800 0.02542 17 6.592 8.000 0.1159 0.7081 0.8240 0.8593 0.01800 0.02542 19 7.416 9.000 0.1159 0.7081 0.8240 0.8593 0.01800 0.02542 21 8.240 10.000 0.1159 0.7081 0.8240 0.8593 0.01800 0.02542 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4984E-01 8 20.00 8.2818E-01 7 30.00 6.6648E-01 6 40.00 5.0192E-01 5 50.00 3.5978E-01 4 60.00 2.5017E-01 3 70.00 1.7207E-01 2 80.00 1.1954E-01 1 87.50 9.1724E-02 1 92.50 7.6357E-02 2 100.00 6.0531E-02 3 110.00 4.6241E-02 4 120.00 3.6782E-02 5 130.00 3.0595E-02 6 140.00 2.6560E-02 7 150.00 2.3965E-02 8 160.00 2.2365E-02 9 170.00 2.1496E-02 10 180.00 2.1188E-02 Asymptotic AOP values are MUu(inf) = 0.3888 MUd(inf) = 0.6917 MU(inf) = 0.5741 R(inf) = 0.0687 Lu(inf)/Ed(inf) = 0.014390 (1/sr) k(inf) = 0.2019 (1/m) absorp(check) = 0.1159 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 395.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.2968E-01 1.1940E+00 1.3237E+00 5.1623E-02 9.0664E-01 0.3981 0.7593 0.6459 5.6939E-02 1 0.00 0.00 1.1115E-01 1.0239E+00 1.1350E+00 4.8707E-02 9.0372E-01 0.4382 0.8826 0.7533 5.3896E-02 3 0.82 1.00 1.0164E-01 9.1377E-01 1.0154E+00 4.3487E-02 7.7405E-01 0.4278 0.8471 0.7195 5.6181E-02 5 1.65 2.00 9.0775E-02 8.0217E-01 8.9294E-01 3.8175E-02 6.5833E-01 0.4205 0.8207 0.6945 5.7988E-02 7 2.47 3.00 7.9738E-02 6.9563E-01 7.7537E-01 3.3110E-02 5.5681E-01 0.4152 0.8004 0.6754 5.9464E-02 9 3.30 4.00 6.9214E-02 5.9776E-01 6.6697E-01 2.8456E-02 4.6879E-01 0.4111 0.7842 0.6602 6.0702E-02 11 4.12 5.00 5.9533E-02 5.0996E-01 5.6949E-01 2.4280E-02 3.9317E-01 0.4078 0.7710 0.6477 6.1756E-02 13 4.94 6.00 5.0832E-02 4.3249E-01 4.8333E-01 2.0594E-02 3.2866E-01 0.4052 0.7599 0.6374 6.2663E-02 15 5.77 7.00 4.3141E-02 3.6499E-01 4.0813E-01 1.7381E-02 2.7395E-01 0.4029 0.7506 0.6286 6.3448E-02 17 6.59 8.00 3.6429E-02 3.0673E-01 3.4316E-01 1.4608E-02 2.2778E-01 0.4010 0.7426 0.6212 6.4130E-02 19 7.42 9.00 3.0629E-02 2.5685E-01 2.8748E-01 1.2232E-02 1.8899E-01 0.3994 0.7358 0.6149 6.4725E-02 21 8.24 10.00 2.5657E-02 2.1441E-01 2.4006E-01 1.0211E-02 1.5650E-01 0.3980 0.7299 0.6094 6.5244E-02 K-functions (units of 1/meter) at 395.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.08880 0.11477 0.11222 0.10585 0.15106 0.15363 0.14130 1.000 1.010 1.005 0.10255 0.12269 0.12068 0.12287 0.15873 0.16087 0.15116 2.000 2.010 2.005 0.12245 0.13710 0.13561 0.13699 0.16493 0.16665 0.15882 3.000 3.010 3.005 0.13622 0.14750 0.14634 0.14734 0.16994 0.17137 0.16488 4.000 4.010 4.005 0.14653 0.15555 0.15461 0.15538 0.17412 0.17533 0.16986 5.000 5.010 5.005 0.15463 0.16202 0.16125 0.16189 0.17767 0.17871 0.17405 6.000 6.010 6.005 0.16124 0.16739 0.16674 0.16730 0.18073 0.18162 0.17762 7.000 7.010 7.005 0.16674 0.17192 0.17138 0.17186 0.18338 0.18416 0.18071 8.000 8.010 8.005 0.17139 0.17580 0.17533 0.17577 0.18569 0.18637 0.18339 9.000 9.010 9.005 0.17538 0.17914 0.17874 0.17914 0.18771 0.18831 0.18573 10.000 10.010 10.005 0.17882 0.18204 0.18170 0.18206 0.18948 0.19000 0.18777 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 395.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 3.43145E-01 6.65708E-03 3.12121E-02 3.78692E-02 7.34256E-03 0.090959 9 1 10.0 0.0 180.0 1.50444E-01 6.75398E-03 1.40640E-02 2.08180E-02 7.44944E-03 0.093484 9 4 10.0 45.0 135.0 1.68134E-01 6.72966E-03 1.60906E-02 2.28203E-02 7.42262E-03 0.095701 9 7 10.0 90.0 90.0 2.34990E-01 6.72105E-03 2.38834E-02 3.06044E-02 7.41312E-03 0.101636 8 1 20.0 0.0 180.0 8.99381E-02 6.81781E-03 4.98346E-03 1.18013E-02 7.51985E-03 0.055410 8 4 20.0 45.0 135.0 1.00361E-01 6.75854E-03 6.27930E-03 1.30378E-02 7.45447E-03 0.062567 8 7 20.0 90.0 90.0 1.41040E-01 6.75994E-03 1.20321E-02 1.87920E-02 7.45602E-03 0.085310 7 1 30.0 0.0 180.0 6.33698E-02 6.92168E-03 1.99420E-03 8.91588E-03 7.63441E-03 0.031469 7 4 30.0 45.0 135.0 6.92032E-02 6.92521E-03 2.42873E-03 9.35394E-03 7.63830E-03 0.035096 7 7 30.0 90.0 90.0 9.09708E-02 6.89586E-03 4.54594E-03 1.14418E-02 7.60593E-03 0.049971 6 1 40.0 0.0 180.0 5.20563E-02 7.00905E-03 1.51499E-03 8.52404E-03 7.73078E-03 0.029103 6 4 40.0 45.0 135.0 5.57358E-02 7.00864E-03 1.65298E-03 8.66163E-03 7.73033E-03 0.029658 6 7 40.0 90.0 90.0 6.84203E-02 6.98999E-03 2.28391E-03 9.27389E-03 7.70975E-03 0.033381 5 1 50.0 0.0 180.0 4.82158E-02 7.14387E-03 1.94774E-03 9.09161E-03 7.87948E-03 0.040396 5 4 50.0 45.0 135.0 5.09244E-02 7.10776E-03 2.05607E-03 9.16384E-03 7.83966E-03 0.040375 5 7 50.0 90.0 90.0 5.96251E-02 7.09616E-03 2.43386E-03 9.53001E-03 7.82686E-03 0.040819 4 1 60.0 0.0 180.0 5.00108E-02 7.08929E-03 3.83849E-03 1.09278E-02 7.81928E-03 0.076753 4 4 60.0 45.0 135.0 5.21733E-02 7.04487E-03 3.95757E-03 1.10024E-02 7.77029E-03 0.075854 4 7 60.0 90.0 90.0 5.90291E-02 7.11290E-03 4.43601E-03 1.15489E-02 7.84532E-03 0.075150 3 1 70.0 0.0 180.0 5.99772E-02 6.63341E-03 9.59787E-03 1.62313E-02 7.31646E-03 0.160025 3 4 70.0 45.0 135.0 6.15624E-02 6.66052E-03 9.82655E-03 1.64871E-02 7.34635E-03 0.159619 3 7 70.0 90.0 90.0 6.71391E-02 6.70964E-03 1.06895E-02 1.73992E-02 7.40053E-03 0.159215 2 1 80.0 0.0 180.0 8.94406E-02 5.72493E-03 2.28004E-02 2.85253E-02 6.31443E-03 0.254922 2 4 80.0 45.0 135.0 8.98721E-02 5.73106E-03 2.36647E-02 2.93957E-02 6.32120E-03 0.263315 2 7 80.0 90.0 90.0 9.34434E-02 5.75946E-03 2.53355E-02 3.10950E-02 6.35251E-03 0.271133 1 1 87.5 0.0 180.0 1.34834E-01 4.64327E-03 3.97288E-02 4.43720E-02 5.12139E-03 0.294649 1 4 87.5 45.0 135.0 1.33219E-01 4.42140E-03 4.23993E-02 4.68207E-02 4.87667E-03 0.318267 1 7 87.5 90.0 90.0 1.32972E-01 4.89899E-03 4.46914E-02 4.95904E-02 5.40344E-03 0.336097 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 395.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 3.787E-02 3.431E-01 8.960E-02 9.128E-02 9.761E-02 4.177E-02 1.363E+00 6.657E-03 7.343E-03 1 0.00 0.00 1.235E-02 3.400E+00 2.409E-02 2.605E-02 2.833E-02 1.367E-02 3.944E+00 3 0.82 1.00 1.067E-02 2.528E+00 2.243E-02 2.481E-02 2.848E-02 1.378E-02 4.076E+00 5 1.65 2.00 9.136E-03 1.874E+00 2.107E-02 2.346E-02 2.715E-02 1.388E-02 4.178E+00 7 2.47 3.00 7.771E-03 1.389E+00 1.919E-02 2.142E-02 2.485E-02 1.396E-02 4.261E+00 9 3.30 4.00 6.573E-03 1.032E+00 1.714E-02 1.914E-02 2.218E-02 1.402E-02 4.329E+00 11 4.12 5.00 5.534E-03 7.686E-01 1.509E-02 1.684E-02 1.946E-02 1.408E-02 4.387E+00 13 4.94 6.00 4.642E-03 5.751E-01 1.315E-02 1.465E-02 1.686E-02 1.412E-02 4.437E+00 15 5.77 7.00 3.880E-03 4.326E-01 1.137E-02 1.262E-02 1.445E-02 1.416E-02 4.480E+00 17 6.59 8.00 3.234E-03 3.272E-01 9.760E-03 1.080E-02 1.229E-02 1.420E-02 4.516E+00 19 7.42 9.00 2.689E-03 2.490E-01 8.330E-03 9.179E-03 1.039E-02 1.423E-02 4.549E+00 21 8.24 10.00 2.231E-03 1.907E-01 7.074E-03 7.763E-03 8.730E-03 1.426E-02 4.577E+00 Waveband 5 of 40 completed in 3.8 sec. * * * * * Output for wavelength band 6 (400.0 to 410.0 nm; nominal wavelength = 405.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 405.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 400.0 nm to 410.0 nm: Ed(diffuse) = 4.403E-01 Ed(direct) = 8.391E-01 Ed(total) = 1.279E+00 Absorption Coefficients of Individual Components at 405.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0053 0.0804 0.0337 0.1194 3 0.809 1.000 0.0053 0.0804 0.0337 0.1194 5 1.619 2.000 0.0053 0.0804 0.0337 0.1194 7 2.428 3.000 0.0053 0.0804 0.0337 0.1194 9 3.237 4.000 0.0053 0.0804 0.0337 0.1194 11 4.047 5.000 0.0053 0.0804 0.0337 0.1194 13 4.856 6.000 0.0053 0.0804 0.0337 0.1194 15 5.666 7.000 0.0053 0.0804 0.0337 0.1194 17 6.475 8.000 0.0053 0.0804 0.0337 0.1194 19 7.284 9.000 0.0053 0.0804 0.0337 0.1194 21 8.094 10.000 0.0053 0.0804 0.0337 0.1194 Scattering Coefficients of Individual Components at 405.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0072 0.6828 0.0000 0.6900 3 0.809 1.000 0.0072 0.6828 0.0000 0.6900 5 1.619 2.000 0.0072 0.6828 0.0000 0.6900 7 2.428 3.000 0.0072 0.6828 0.0000 0.6900 9 3.237 4.000 0.0072 0.6828 0.0000 0.6900 11 4.047 5.000 0.0072 0.6828 0.0000 0.6900 13 4.856 6.000 0.0072 0.6828 0.0000 0.6900 15 5.666 7.000 0.0072 0.6828 0.0000 0.6900 17 6.475 8.000 0.0072 0.6828 0.0000 0.6900 19 7.284 9.000 0.0072 0.6828 0.0000 0.6900 21 8.094 10.000 0.0072 0.6828 0.0000 0.6900 Backscattering Coefficients of Individual Components at 405.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00359 0.01366 0.00000 0.01725 3 0.809 1.000 0.00359 0.01366 0.00000 0.01725 5 1.619 2.000 0.00359 0.01366 0.00000 0.01725 7 2.428 3.000 0.00359 0.01366 0.00000 0.01725 9 3.237 4.000 0.00359 0.01366 0.00000 0.01725 11 4.047 5.000 0.00359 0.01366 0.00000 0.01725 13 4.856 6.000 0.00359 0.01366 0.00000 0.01725 15 5.666 7.000 0.00359 0.01366 0.00000 0.01725 17 6.475 8.000 0.00359 0.01366 0.00000 0.01725 19 7.284 9.000 0.00359 0.01366 0.00000 0.01725 21 8.094 10.000 0.00359 0.01366 0.00000 0.01725 Summary of Inherent Optical Properties at 405.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1194 0.6900 0.8094 0.8525 0.01725 0.02499 3 0.809 1.000 0.1194 0.6900 0.8094 0.8525 0.01725 0.02499 5 1.619 2.000 0.1194 0.6900 0.8094 0.8525 0.01725 0.02499 7 2.428 3.000 0.1194 0.6900 0.8094 0.8525 0.01725 0.02499 9 3.237 4.000 0.1194 0.6900 0.8094 0.8525 0.01725 0.02499 11 4.047 5.000 0.1194 0.6900 0.8094 0.8525 0.01725 0.02499 13 4.856 6.000 0.1194 0.6900 0.8094 0.8525 0.01725 0.02499 15 5.666 7.000 0.1194 0.6900 0.8094 0.8525 0.01725 0.02499 17 6.475 8.000 0.1194 0.6900 0.8094 0.8525 0.01725 0.02499 19 7.284 9.000 0.1194 0.6900 0.8094 0.8525 0.01725 0.02499 21 8.094 10.000 0.1194 0.6900 0.8094 0.8525 0.01725 0.02499 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4819E-01 8 20.00 8.2293E-01 7 30.00 6.5755E-01 6 40.00 4.9077E-01 5 50.00 3.4825E-01 4 60.00 2.3965E-01 3 70.00 1.6318E-01 2 80.00 1.1233E-01 1 87.50 8.5662E-02 1 92.50 7.1036E-02 2 100.00 5.6046E-02 3 110.00 4.2593E-02 4 120.00 3.3749E-02 5 130.00 2.7997E-02 6 140.00 2.4265E-02 7 150.00 2.1874E-02 8 160.00 2.0405E-02 9 170.00 1.9608E-02 10 180.00 1.9327E-02 Asymptotic AOP values are MUu(inf) = 0.3870 MUd(inf) = 0.6965 MU(inf) = 0.5843 R(inf) = 0.0642 Lu(inf)/Ed(inf) = 0.013382 (1/sr) k(inf) = 0.2043 (1/m) absorp(check) = 0.1194 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 405.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.7562E-01 1.6706E+00 1.8463E+00 7.0264E-02 1.2793E+00 0.4001 0.7658 0.6549 5.4924E-02 1 0.00 0.00 1.4711E-01 1.4353E+00 1.5824E+00 6.4306E-02 1.2733E+00 0.4371 0.8872 0.7641 5.0502E-02 3 0.81 1.00 1.3424E-01 1.2772E+00 1.4114E+00 5.7279E-02 1.0882E+00 0.4267 0.8520 0.7304 5.2637E-02 5 1.62 2.00 1.1961E-01 1.1181E+00 1.2377E+00 5.0165E-02 9.2350E-01 0.4194 0.8260 0.7056 5.4320E-02 7 2.43 3.00 1.0484E-01 9.6710E-01 1.0719E+00 4.3411E-02 7.7945E-01 0.4141 0.8060 0.6866 5.5695E-02 9 3.24 4.00 9.0809E-02 8.2905E-01 9.1986E-01 3.7229E-02 6.5490E-01 0.4100 0.7899 0.6715 5.6847E-02 11 4.05 5.00 7.7947E-02 7.0569E-01 7.8364E-01 3.1699E-02 5.4815E-01 0.4067 0.7768 0.6590 5.7829E-02 13 4.86 6.00 6.6423E-02 5.9721E-01 6.6363E-01 2.6833E-02 4.5731E-01 0.4040 0.7657 0.6487 5.8675E-02 15 5.67 7.00 5.6264E-02 5.0294E-01 5.5921E-01 2.2601E-02 3.8044E-01 0.4017 0.7564 0.6399 5.9408E-02 17 6.47 8.00 4.7420E-02 4.2181E-01 4.6923E-01 1.8957E-02 3.1571E-01 0.3998 0.7485 0.6324 6.0046E-02 19 7.28 9.00 3.9794E-02 3.5250E-01 3.9229E-01 1.5843E-02 2.6142E-01 0.3981 0.7416 0.6260 6.0603E-02 21 8.09 10.00 3.3271E-02 2.9367E-01 3.2694E-01 1.3199E-02 2.1606E-01 0.3967 0.7357 0.6205 6.1090E-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 0.08949 0.11639 0.11389 0.10790 0.15331 0.15573 0.14382 1.000 1.010 1.005 0.10487 0.12563 0.12366 0.12527 0.16094 0.16292 0.15363 2.000 2.010 2.005 0.12471 0.13976 0.13831 0.13929 0.16706 0.16865 0.16119 3.000 3.010 3.005 0.13838 0.14996 0.14883 0.14953 0.17200 0.17333 0.16717 4.000 4.010 4.005 0.14860 0.15785 0.15694 0.15750 0.17614 0.17726 0.17208 5.000 5.010 5.005 0.15664 0.16422 0.16346 0.16395 0.17966 0.18062 0.17623 6.000 6.010 6.005 0.16320 0.16951 0.16888 0.16931 0.18270 0.18353 0.17977 7.000 7.010 7.005 0.16868 0.17399 0.17345 0.17385 0.18534 0.18607 0.18283 8.000 8.010 8.005 0.17331 0.17782 0.17737 0.17774 0.18765 0.18828 0.18550 9.000 9.010 9.005 0.17728 0.18114 0.18074 0.18110 0.18968 0.19023 0.18783 10.000 10.010 10.005 0.18071 0.18402 0.18368 0.18402 0.19146 0.19194 0.18987 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 4.66237E-01 8.77483E-03 4.45706E-02 5.33454E-02 6.85906E-03 0.095596 9 1 10.0 0.0 180.0 2.04411E-01 8.90269E-03 1.99854E-02 2.88881E-02 6.95900E-03 0.097771 9 4 10.0 45.0 135.0 2.28450E-01 8.87036E-03 2.28853E-02 3.17557E-02 6.93373E-03 0.100177 9 7 10.0 90.0 90.0 3.19265E-01 8.85841E-03 3.40542E-02 4.29126E-02 6.92439E-03 0.106664 8 1 20.0 0.0 180.0 1.22200E-01 8.98604E-03 6.99332E-03 1.59794E-02 7.02415E-03 0.057228 8 4 20.0 45.0 135.0 1.36362E-01 8.90749E-03 8.84006E-03 1.77476E-02 6.96275E-03 0.064828 8 7 20.0 90.0 90.0 1.91633E-01 8.90847E-03 1.70645E-02 2.59730E-02 6.96352E-03 0.089048 7 1 30.0 0.0 180.0 8.61016E-02 9.12181E-03 2.73760E-03 1.18594E-02 7.13028E-03 0.031795 7 4 30.0 45.0 135.0 9.40276E-02 9.12592E-03 3.34980E-03 1.24757E-02 7.13349E-03 0.035626 7 7 30.0 90.0 90.0 1.23604E-01 9.08625E-03 6.35121E-03 1.54375E-02 7.10248E-03 0.051384 6 1 40.0 0.0 180.0 7.07297E-02 9.23517E-03 2.05987E-03 1.12950E-02 7.21889E-03 0.029123 6 4 40.0 45.0 135.0 7.57291E-02 9.23408E-03 2.24917E-03 1.14832E-02 7.21804E-03 0.029700 6 7 40.0 90.0 90.0 9.29638E-02 9.20874E-03 3.12310E-03 1.23318E-02 7.19823E-03 0.033595 5 1 50.0 0.0 180.0 6.55117E-02 9.41184E-03 2.64661E-03 1.20584E-02 7.35699E-03 0.040399 5 4 50.0 45.0 135.0 6.91918E-02 9.36388E-03 2.79362E-03 1.21575E-02 7.31950E-03 0.040375 5 7 50.0 90.0 90.0 8.10137E-02 9.34851E-03 3.30783E-03 1.26563E-02 7.30749E-03 0.040831 4 1 60.0 0.0 180.0 6.79505E-02 9.33945E-03 5.21543E-03 1.45549E-02 7.30041E-03 0.076753 4 4 60.0 45.0 135.0 7.08887E-02 9.28080E-03 5.37722E-03 1.46580E-02 7.25456E-03 0.075854 4 7 60.0 90.0 90.0 8.02039E-02 9.37123E-03 6.02728E-03 1.53985E-02 7.32525E-03 0.075150 3 1 70.0 0.0 180.0 8.14920E-02 8.73974E-03 1.30408E-02 2.17805E-02 6.83162E-03 0.160025 3 4 70.0 45.0 135.0 8.36459E-02 8.77572E-03 1.33515E-02 2.21272E-02 6.85975E-03 0.159619 3 7 70.0 90.0 90.0 9.12231E-02 8.84251E-03 1.45241E-02 2.33666E-02 6.91196E-03 0.159215 2 1 80.0 0.0 180.0 1.21524E-01 7.54410E-03 3.09793E-02 3.85234E-02 5.89703E-03 0.254922 2 4 80.0 45.0 135.0 1.22111E-01 7.55281E-03 3.21536E-02 3.97064E-02 5.90384E-03 0.263315 2 7 80.0 90.0 90.0 1.26963E-01 7.59307E-03 3.44238E-02 4.20169E-02 5.93530E-03 0.271133 1 1 87.5 0.0 180.0 1.83201E-01 6.12065E-03 5.39801E-02 6.01008E-02 4.78435E-03 0.294649 1 4 87.5 45.0 135.0 1.81007E-01 5.82896E-03 5.76087E-02 6.34376E-02 4.55635E-03 0.318267 1 7 87.5 90.0 90.0 1.80671E-01 6.46212E-03 6.07229E-02 6.71850E-02 5.05127E-03 0.336097 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 5.335E-02 4.662E-01 1.217E-01 1.239E-01 1.325E-01 4.170E-02 1.317E+00 8.775E-03 6.859E-03 1 0.00 0.00 1.628E-02 4.849E+00 3.193E-02 3.460E-02 3.776E-02 1.278E-02 3.950E+00 3 0.81 1.00 1.403E-02 3.612E+00 2.977E-02 3.303E-02 3.808E-02 1.289E-02 4.083E+00 5 1.62 2.00 1.198E-02 2.682E+00 2.790E-02 3.116E-02 3.622E-02 1.298E-02 4.186E+00 7 2.43 3.00 1.017E-02 1.991E+00 2.536E-02 2.840E-02 3.308E-02 1.305E-02 4.269E+00 9 3.24 4.00 8.582E-03 1.480E+00 2.259E-02 2.532E-02 2.947E-02 1.310E-02 4.338E+00 11 4.05 5.00 7.210E-03 1.103E+00 1.986E-02 2.223E-02 2.581E-02 1.315E-02 4.397E+00 13 4.86 6.00 6.034E-03 8.255E-01 1.727E-02 1.930E-02 2.231E-02 1.319E-02 4.447E+00 15 5.67 7.00 5.033E-03 6.208E-01 1.490E-02 1.660E-02 1.910E-02 1.323E-02 4.490E+00 17 6.47 8.00 4.187E-03 4.693E-01 1.277E-02 1.417E-02 1.621E-02 1.326E-02 4.528E+00 19 7.28 9.00 3.474E-03 3.567E-01 1.087E-02 1.203E-02 1.368E-02 1.329E-02 4.561E+00 21 8.09 10.00 2.876E-03 2.727E-01 9.219E-03 1.015E-02 1.147E-02 1.331E-02 4.589E+00 Waveband 6 of 40 completed in 3.7 sec. * * * * * Output for wavelength band 7 (410.0 to 420.0 nm; nominal wavelength = 415.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 415.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 410.0 nm to 420.0 nm: Ed(diffuse) = 4.504E-01 Ed(direct) = 9.064E-01 Ed(total) = 1.357E+00 Absorption Coefficients of Individual Components at 415.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0044 0.0907 0.0293 0.1244 3 0.797 1.000 0.0044 0.0907 0.0293 0.1244 5 1.595 2.000 0.0044 0.0907 0.0293 0.1244 7 2.392 3.000 0.0044 0.0907 0.0293 0.1244 9 3.189 4.000 0.0044 0.0907 0.0293 0.1244 11 3.986 5.000 0.0044 0.0907 0.0293 0.1244 13 4.784 6.000 0.0044 0.0907 0.0293 0.1244 15 5.581 7.000 0.0044 0.0907 0.0293 0.1244 17 6.378 8.000 0.0044 0.0907 0.0293 0.1244 19 7.175 9.000 0.0044 0.0907 0.0293 0.1244 21 7.973 10.000 0.0044 0.0907 0.0293 0.1244 Scattering Coefficients of Individual Components at 415.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0065 0.6664 0.0000 0.6728 3 0.797 1.000 0.0065 0.6664 0.0000 0.6728 5 1.595 2.000 0.0065 0.6664 0.0000 0.6728 7 2.392 3.000 0.0065 0.6664 0.0000 0.6728 9 3.189 4.000 0.0065 0.6664 0.0000 0.6728 11 3.986 5.000 0.0065 0.6664 0.0000 0.6728 13 4.784 6.000 0.0065 0.6664 0.0000 0.6728 15 5.581 7.000 0.0065 0.6664 0.0000 0.6728 17 6.378 8.000 0.0065 0.6664 0.0000 0.6728 19 7.175 9.000 0.0065 0.6664 0.0000 0.6728 21 7.973 10.000 0.0065 0.6664 0.0000 0.6728 Backscattering Coefficients of Individual Components at 415.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00323 0.01333 0.00000 0.01656 3 0.797 1.000 0.00323 0.01333 0.00000 0.01656 5 1.595 2.000 0.00323 0.01333 0.00000 0.01656 7 2.392 3.000 0.00323 0.01333 0.00000 0.01656 9 3.189 4.000 0.00323 0.01333 0.00000 0.01656 11 3.986 5.000 0.00323 0.01333 0.00000 0.01656 13 4.784 6.000 0.00323 0.01333 0.00000 0.01656 15 5.581 7.000 0.00323 0.01333 0.00000 0.01656 17 6.378 8.000 0.00323 0.01333 0.00000 0.01656 19 7.175 9.000 0.00323 0.01333 0.00000 0.01656 21 7.973 10.000 0.00323 0.01333 0.00000 0.01656 Summary of Inherent Optical Properties at 415.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1244 0.6728 0.7973 0.8439 0.01656 0.02461 3 0.797 1.000 0.1244 0.6728 0.7973 0.8439 0.01656 0.02461 5 1.595 2.000 0.1244 0.6728 0.7973 0.8439 0.01656 0.02461 7 2.392 3.000 0.1244 0.6728 0.7973 0.8439 0.01656 0.02461 9 3.189 4.000 0.1244 0.6728 0.7973 0.8439 0.01656 0.02461 11 3.986 5.000 0.1244 0.6728 0.7973 0.8439 0.01656 0.02461 13 4.784 6.000 0.1244 0.6728 0.7973 0.8439 0.01656 0.02461 15 5.581 7.000 0.1244 0.6728 0.7973 0.8439 0.01656 0.02461 17 6.378 8.000 0.1244 0.6728 0.7973 0.8439 0.01656 0.02461 19 7.175 9.000 0.1244 0.6728 0.7973 0.8439 0.01656 0.02461 21 7.973 10.000 0.1244 0.6728 0.7973 0.8439 0.01656 0.02461 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4611E-01 8 20.00 8.1639E-01 7 30.00 6.4654E-01 6 40.00 4.7720E-01 5 50.00 3.3445E-01 4 60.00 2.2726E-01 3 70.00 1.5289E-01 2 80.00 1.0410E-01 1 87.50 7.8825E-02 1 92.50 6.5082E-02 2 100.00 5.1075E-02 3 110.00 3.8597E-02 4 120.00 3.0459E-02 5 130.00 2.5203E-02 6 140.00 2.1811E-02 7 150.00 1.9649E-02 8 160.00 1.8325E-02 9 170.00 1.7610E-02 10 180.00 1.7357E-02 Asymptotic AOP values are MUu(inf) = 0.3852 MUd(inf) = 0.7022 MU(inf) = 0.5961 R(inf) = 0.0593 Lu(inf)/Ed(inf) = 0.012305 (1/sr) k(inf) = 0.2088 (1/m) absorp(check) = 0.1244 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 415.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.7812E-01 1.7580E+00 1.9361E+00 7.1510E-02 1.3568E+00 0.4015 0.7718 0.6638 5.2706E-02 1 0.00 0.00 1.4410E-01 1.5110E+00 1.6551E+00 6.2795E-02 1.3480E+00 0.4358 0.8921 0.7765 4.6582E-02 3 0.80 1.00 1.3105E-01 1.3381E+00 1.4692E+00 5.5719E-02 1.1472E+00 0.4252 0.8573 0.7429 4.8570E-02 5 1.59 2.00 1.1631E-01 1.1657E+00 1.2820E+00 4.8605E-02 9.6956E-01 0.4179 0.8317 0.7184 5.0131E-02 7 2.39 3.00 1.0154E-01 1.0036E+00 1.1052E+00 4.1895E-02 8.1496E-01 0.4126 0.8120 0.6995 5.1408E-02 9 3.19 4.00 8.7606E-02 8.5650E-01 9.4411E-01 3.5788E-02 6.8195E-01 0.4085 0.7962 0.6844 5.2480E-02 11 3.99 5.00 7.4906E-02 7.2587E-01 8.0078E-01 3.0354E-02 5.6849E-01 0.4052 0.7832 0.6720 5.3395E-02 13 4.78 6.00 6.3585E-02 6.1166E-01 6.7525E-01 2.5595E-02 4.7236E-01 0.4025 0.7723 0.6616 5.4185E-02 15 5.58 7.00 5.3654E-02 5.1296E-01 5.6661E-01 2.1476E-02 3.9138E-01 0.4003 0.7630 0.6528 5.4872E-02 17 6.38 8.00 4.5047E-02 4.2842E-01 4.7347E-01 1.7944E-02 3.2349E-01 0.3983 0.7551 0.6453 5.5472E-02 19 7.18 9.00 3.7659E-02 3.5656E-01 3.9422E-01 1.4940E-02 2.6679E-01 0.3967 0.7482 0.6389 5.5997E-02 21 7.97 10.00 3.1367E-02 2.9584E-01 3.2721E-01 1.2399E-02 2.1962E-01 0.3953 0.7423 0.6333 5.6457E-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 0.09093 0.11968 0.11718 0.11118 0.15746 0.15972 0.14776 1.000 1.010 1.005 0.10875 0.13060 0.12865 0.12924 0.16512 0.16695 0.15764 2.000 2.010 2.005 0.12870 0.14452 0.14308 0.14327 0.17119 0.17266 0.16517 3.000 3.010 3.005 0.14234 0.15454 0.15342 0.15348 0.17610 0.17732 0.17111 4.000 4.010 4.005 0.15252 0.16228 0.16137 0.16140 0.18020 0.18124 0.17600 5.000 5.010 5.005 0.16052 0.16854 0.16779 0.16782 0.18370 0.18459 0.18012 6.000 6.010 6.005 0.16705 0.17375 0.17312 0.17316 0.18672 0.18750 0.18366 7.000 7.010 7.005 0.17250 0.17816 0.17763 0.17769 0.18936 0.19004 0.18672 8.000 8.010 8.005 0.17713 0.18195 0.18149 0.18157 0.19167 0.19226 0.18939 9.000 9.010 9.005 0.18110 0.18524 0.18484 0.18493 0.19370 0.19422 0.19173 10.000 10.010 10.005 0.18454 0.18810 0.18776 0.18786 0.19548 0.19594 0.19378 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 4.76964E-01 8.55022E-03 4.77849E-02 5.63351E-02 6.30193E-03 0.100186 9 1 10.0 0.0 180.0 2.09114E-01 8.67561E-03 2.13323E-02 3.00080E-02 6.39435E-03 0.102013 9 4 10.0 45.0 135.0 2.33709E-01 8.64360E-03 2.44473E-02 3.30909E-02 6.37076E-03 0.104606 9 7 10.0 90.0 90.0 3.26591E-01 8.63081E-03 3.64610E-02 4.50918E-02 6.36132E-03 0.111641 8 1 20.0 0.0 180.0 1.25012E-01 8.75628E-03 7.37917E-03 1.61354E-02 6.45380E-03 0.059028 8 4 20.0 45.0 135.0 1.39499E-01 8.67893E-03 9.35554E-03 1.80345E-02 6.39680E-03 0.067065 8 7 20.0 90.0 90.0 1.96042E-01 8.67816E-03 1.81823E-02 2.68605E-02 6.39623E-03 0.092747 7 1 30.0 0.0 180.0 8.80825E-02 8.88759E-03 2.82898E-03 1.17166E-02 6.55059E-03 0.032117 7 4 30.0 45.0 135.0 9.61909E-02 8.89055E-03 3.47732E-03 1.23679E-02 6.55276E-03 0.036150 7 7 30.0 90.0 90.0 1.26447E-01 8.84976E-03 6.67406E-03 1.55238E-02 6.52270E-03 0.052781 6 1 40.0 0.0 180.0 7.23570E-02 8.99629E-03 2.10871E-03 1.11050E-02 6.63070E-03 0.029143 6 4 40.0 45.0 135.0 7.74714E-02 8.99404E-03 2.30418E-03 1.12982E-02 6.62905E-03 0.029742 6 7 40.0 90.0 90.0 9.51026E-02 8.96721E-03 3.21512E-03 1.21823E-02 6.60927E-03 0.033807 5 1 50.0 0.0 180.0 6.70189E-02 9.16749E-03 2.70768E-03 1.18752E-02 6.75689E-03 0.040402 5 4 50.0 45.0 135.0 7.07837E-02 9.11972E-03 2.85789E-03 1.19776E-02 6.72168E-03 0.040375 5 7 50.0 90.0 90.0 8.28775E-02 9.10324E-03 3.38485E-03 1.24881E-02 6.70953E-03 0.040842 4 1 60.0 0.0 180.0 6.95138E-02 9.09665E-03 5.33542E-03 1.44321E-02 6.70468E-03 0.076753 4 4 60.0 45.0 135.0 7.25197E-02 9.03872E-03 5.50093E-03 1.45396E-02 6.66197E-03 0.075854 4 7 60.0 90.0 90.0 8.20491E-02 9.12620E-03 6.16595E-03 1.52921E-02 6.72645E-03 0.075150 3 1 70.0 0.0 180.0 8.33669E-02 8.51377E-03 1.33408E-02 2.18546E-02 6.27506E-03 0.160025 3 4 70.0 45.0 135.0 8.55703E-02 8.54852E-03 1.36587E-02 2.22072E-02 6.30067E-03 0.159619 3 7 70.0 90.0 90.0 9.33218E-02 8.61450E-03 1.48582E-02 2.34727E-02 6.34931E-03 0.159215 2 1 80.0 0.0 180.0 1.24320E-01 7.35083E-03 3.16920E-02 3.90429E-02 5.41792E-03 0.254922 2 4 80.0 45.0 135.0 1.24920E-01 7.35949E-03 3.28934E-02 4.02528E-02 5.42430E-03 0.263315 2 7 80.0 90.0 90.0 1.29884E-01 7.40073E-03 3.52158E-02 4.26165E-02 5.45470E-03 0.271133 1 1 87.5 0.0 180.0 1.87416E-01 5.96631E-03 5.52220E-02 6.11884E-02 4.39746E-03 0.294649 1 4 87.5 45.0 135.0 1.85172E-01 5.68247E-03 5.89340E-02 6.46165E-02 4.18826E-03 0.318267 1 7 87.5 90.0 90.0 1.84828E-01 6.30275E-03 6.21199E-02 6.84227E-02 4.64543E-03 0.336097 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 5.634E-02 4.770E-01 1.243E-01 1.266E-01 1.354E-01 4.152E-02 1.269E+00 8.550E-03 6.302E-03 1 0.00 0.00 1.586E-02 5.194E+00 3.134E-02 3.407E-02 3.731E-02 1.177E-02 3.959E+00 3 0.80 1.00 1.362E-02 3.867E+00 2.928E-02 3.260E-02 3.776E-02 1.187E-02 4.092E+00 5 1.59 2.00 1.158E-02 2.870E+00 2.733E-02 3.064E-02 3.578E-02 1.195E-02 4.196E+00 7 2.39 3.00 9.791E-03 2.129E+00 2.473E-02 2.781E-02 3.255E-02 1.201E-02 4.279E+00 9 3.19 4.00 8.230E-03 1.581E+00 2.195E-02 2.469E-02 2.887E-02 1.207E-02 4.348E+00 11 3.99 5.00 6.888E-03 1.177E+00 1.921E-02 2.159E-02 2.518E-02 1.212E-02 4.407E+00 13 4.78 6.00 5.742E-03 8.798E-01 1.664E-02 1.867E-02 2.169E-02 1.216E-02 4.457E+00 15 5.58 7.00 4.771E-03 6.603E-01 1.430E-02 1.599E-02 1.849E-02 1.219E-02 4.501E+00 17 6.38 8.00 3.953E-03 4.979E-01 1.220E-02 1.360E-02 1.564E-02 1.222E-02 4.539E+00 19 7.18 9.00 3.267E-03 3.774E-01 1.036E-02 1.150E-02 1.314E-02 1.225E-02 4.572E+00 21 7.97 10.00 2.695E-03 2.876E-01 8.747E-03 9.671E-03 1.098E-02 1.227E-02 4.601E+00 Waveband 7 of 40 completed in 3.7 sec. * * * * * Output for wavelength band 8 (420.0 to 430.0 nm; nominal wavelength = 425.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 425.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 420.0 nm to 430.0 nm: Ed(diffuse) = 4.176E-01 Ed(direct) = 8.814E-01 Ed(total) = 1.299E+00 Absorption Coefficients of Individual Components at 425.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0048 0.0959 0.0254 0.1261 3 0.783 1.000 0.0048 0.0959 0.0254 0.1261 5 1.565 2.000 0.0048 0.0959 0.0254 0.1261 7 2.348 3.000 0.0048 0.0959 0.0254 0.1261 9 3.130 4.000 0.0048 0.0959 0.0254 0.1261 11 3.913 5.000 0.0048 0.0959 0.0254 0.1261 13 4.696 6.000 0.0048 0.0959 0.0254 0.1261 15 5.478 7.000 0.0048 0.0959 0.0254 0.1261 17 6.261 8.000 0.0048 0.0959 0.0254 0.1261 19 7.044 9.000 0.0048 0.0959 0.0254 0.1261 21 7.826 10.000 0.0048 0.0959 0.0254 0.1261 Scattering Coefficients of Individual Components at 425.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0058 0.6507 0.0000 0.6565 3 0.783 1.000 0.0058 0.6507 0.0000 0.6565 5 1.565 2.000 0.0058 0.6507 0.0000 0.6565 7 2.348 3.000 0.0058 0.6507 0.0000 0.6565 9 3.130 4.000 0.0058 0.6507 0.0000 0.6565 11 3.913 5.000 0.0058 0.6507 0.0000 0.6565 13 4.696 6.000 0.0058 0.6507 0.0000 0.6565 15 5.478 7.000 0.0058 0.6507 0.0000 0.6565 17 6.261 8.000 0.0058 0.6507 0.0000 0.6565 19 7.044 9.000 0.0058 0.6507 0.0000 0.6565 21 7.826 10.000 0.0058 0.6507 0.0000 0.6565 Backscattering Coefficients of Individual Components at 425.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00291 0.01301 0.00000 0.01593 3 0.783 1.000 0.00291 0.01301 0.00000 0.01593 5 1.565 2.000 0.00291 0.01301 0.00000 0.01593 7 2.348 3.000 0.00291 0.01301 0.00000 0.01593 9 3.130 4.000 0.00291 0.01301 0.00000 0.01593 11 3.913 5.000 0.00291 0.01301 0.00000 0.01593 13 4.696 6.000 0.00291 0.01301 0.00000 0.01593 15 5.478 7.000 0.00291 0.01301 0.00000 0.01593 17 6.261 8.000 0.00291 0.01301 0.00000 0.01593 19 7.044 9.000 0.00291 0.01301 0.00000 0.01593 21 7.826 10.000 0.00291 0.01301 0.00000 0.01593 Summary of Inherent Optical Properties at 425.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1261 0.6565 0.7826 0.8389 0.01593 0.02426 3 0.783 1.000 0.1261 0.6565 0.7826 0.8389 0.01593 0.02426 5 1.565 2.000 0.1261 0.6565 0.7826 0.8389 0.01593 0.02426 7 2.348 3.000 0.1261 0.6565 0.7826 0.8389 0.01593 0.02426 9 3.130 4.000 0.1261 0.6565 0.7826 0.8389 0.01593 0.02426 11 3.913 5.000 0.1261 0.6565 0.7826 0.8389 0.01593 0.02426 13 4.696 6.000 0.1261 0.6565 0.7826 0.8389 0.01593 0.02426 15 5.478 7.000 0.1261 0.6565 0.7826 0.8389 0.01593 0.02426 17 6.261 8.000 0.1261 0.6565 0.7826 0.8389 0.01593 0.02426 19 7.044 9.000 0.1261 0.6565 0.7826 0.8389 0.01593 0.02426 21 7.826 10.000 0.1261 0.6565 0.7826 0.8389 0.01593 0.02426 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4489E-01 8 20.00 8.1257E-01 7 30.00 6.4015E-01 6 40.00 4.6939E-01 5 50.00 3.2658E-01 4 60.00 2.2025E-01 3 70.00 1.4710E-01 2 80.00 9.9511E-02 1 87.50 7.5014E-02 1 92.50 6.1765E-02 2 100.00 4.8307E-02 3 110.00 3.6368E-02 4 120.00 2.8618E-02 5 130.00 2.3631E-02 6 140.00 2.0425E-02 7 150.00 1.8386E-02 8 160.00 1.7141E-02 9 170.00 1.6469E-02 10 180.00 1.6232E-02 Asymptotic AOP values are MUu(inf) = 0.3839 MUd(inf) = 0.7056 MU(inf) = 0.6031 R(inf) = 0.0565 Lu(inf)/Ed(inf) = 0.011667 (1/sr) k(inf) = 0.2091 (1/m) absorp(check) = 0.1261 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 425.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.6506E-01 1.6718E+00 1.8369E+00 6.6630E-02 1.2990E+00 0.4037 0.7770 0.6709 5.1293E-02 1 0.00 0.00 1.3129E-01 1.4400E+00 1.5713E+00 5.7096E-02 1.2895E+00 0.4349 0.8954 0.7843 4.4279E-02 3 0.78 1.00 1.1935E-01 1.2736E+00 1.3929E+00 5.0633E-02 1.0967E+00 0.4243 0.8611 0.7510 4.6168E-02 5 1.57 2.00 1.0587E-01 1.1084E+00 1.2143E+00 4.4150E-02 9.2648E-01 0.4170 0.8359 0.7266 4.7653E-02 7 2.35 3.00 9.2404E-02 9.5361E-01 1.0460E+00 3.8046E-02 7.7850E-01 0.4117 0.8164 0.7079 4.8871E-02 9 3.13 4.00 7.9714E-02 8.1340E-01 8.9311E-01 3.2496E-02 6.5128E-01 0.4077 0.8007 0.6928 4.9896E-02 11 3.91 5.00 6.8156E-02 6.8909E-01 7.5724E-01 2.7561E-02 5.4282E-01 0.4044 0.7877 0.6804 5.0773E-02 13 4.70 6.00 5.7857E-02 5.8051E-01 6.3837E-01 2.3240E-02 4.5098E-01 0.4017 0.7769 0.6700 5.1533E-02 15 5.48 7.00 4.8826E-02 4.8674E-01 5.3557E-01 1.9501E-02 3.7363E-01 0.3994 0.7676 0.6612 5.2195E-02 17 6.26 8.00 4.0999E-02 4.0648E-01 4.4748E-01 1.6296E-02 3.0879E-01 0.3975 0.7597 0.6536 5.2775E-02 19 7.04 9.00 3.4280E-02 3.3827E-01 3.7255E-01 1.3569E-02 2.5465E-01 0.3958 0.7528 0.6471 5.3285E-02 21 7.83 10.00 2.8556E-02 2.8064E-01 3.0920E-01 1.1263E-02 2.0960E-01 0.3944 0.7469 0.6415 5.3733E-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 0.09132 0.12025 0.11783 0.11168 0.15810 0.16025 0.14830 1.000 1.010 1.005 0.10928 0.13176 0.12984 0.12974 0.16562 0.16736 0.15804 2.000 2.010 2.005 0.12904 0.14535 0.14393 0.14359 0.17156 0.17296 0.16543 3.000 3.010 3.005 0.14253 0.15513 0.15402 0.15366 0.17638 0.17755 0.17128 4.000 4.010 4.005 0.15259 0.16271 0.16181 0.16148 0.18041 0.18140 0.17609 5.000 5.010 5.005 0.16051 0.16885 0.16810 0.16783 0.18386 0.18471 0.18016 6.000 6.010 6.005 0.16698 0.17396 0.17333 0.17311 0.18684 0.18759 0.18366 7.000 7.010 7.005 0.17238 0.17831 0.17777 0.17760 0.18945 0.19010 0.18669 8.000 8.010 8.005 0.17697 0.18204 0.18158 0.18145 0.19173 0.19231 0.18934 9.000 9.010 9.005 0.18092 0.18529 0.18488 0.18480 0.19375 0.19425 0.19167 10.000 10.010 10.005 0.18435 0.18812 0.18777 0.18772 0.19553 0.19597 0.19372 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 4.42200E-01 7.75941E-03 4.61768E-02 5.39362E-02 5.97335E-03 0.104425 9 1 10.0 0.0 180.0 1.93872E-01 7.87333E-03 2.05374E-02 2.84107E-02 6.06105E-03 0.105933 9 4 10.0 45.0 135.0 2.16678E-01 7.84414E-03 2.35523E-02 3.13964E-02 6.03858E-03 0.108697 9 7 10.0 90.0 90.0 3.02770E-01 7.83223E-03 3.51939E-02 4.30261E-02 6.02941E-03 0.116239 8 1 20.0 0.0 180.0 1.15900E-01 7.94630E-03 7.03400E-03 1.49803E-02 6.11722E-03 0.060690 8 4 20.0 45.0 135.0 1.29332E-01 7.87590E-03 8.94095E-03 1.68168E-02 6.06302E-03 0.069132 8 7 20.0 90.0 90.0 1.81753E-01 7.87480E-03 1.74782E-02 2.53530E-02 6.06218E-03 0.096165 7 1 30.0 0.0 180.0 8.16626E-02 8.06513E-03 2.64711E-03 1.07122E-02 6.20870E-03 0.032415 7 4 30.0 45.0 135.0 8.91799E-02 8.06755E-03 3.26709E-03 1.13346E-02 6.21056E-03 0.036635 7 7 30.0 90.0 90.0 1.17231E-01 8.03016E-03 6.33897E-03 1.43691E-02 6.18178E-03 0.054073 6 1 40.0 0.0 180.0 6.70832E-02 8.16328E-03 1.95626E-03 1.01195E-02 6.28425E-03 0.029162 6 4 40.0 45.0 135.0 7.18248E-02 8.16102E-03 2.13904E-03 1.03001E-02 6.28252E-03 0.029781 6 7 40.0 90.0 90.0 8.81709E-02 8.13663E-03 2.99805E-03 1.11347E-02 6.26374E-03 0.034003 5 1 50.0 0.0 180.0 6.21341E-02 8.31863E-03 2.51049E-03 1.08291E-02 6.40385E-03 0.040404 5 4 50.0 45.0 135.0 6.56246E-02 8.27524E-03 2.64959E-03 1.09248E-02 6.37045E-03 0.040375 5 7 50.0 90.0 90.0 7.68369E-02 8.26088E-03 3.13893E-03 1.13998E-02 6.35939E-03 0.040852 4 1 60.0 0.0 180.0 6.44472E-02 8.25467E-03 4.94654E-03 1.32012E-02 6.35461E-03 0.076753 4 4 60.0 45.0 135.0 6.72340E-02 8.20229E-03 5.09999E-03 1.33023E-02 6.31428E-03 0.075854 4 7 60.0 90.0 90.0 7.60689E-02 8.28303E-03 5.71654E-03 1.39996E-02 6.37644E-03 0.075150 3 1 70.0 0.0 180.0 7.72906E-02 7.72691E-03 1.23685E-02 2.00954E-02 5.94833E-03 0.160025 3 4 70.0 45.0 135.0 7.93334E-02 7.75896E-03 1.26631E-02 2.04221E-02 5.97300E-03 0.159619 3 7 70.0 90.0 90.0 8.65199E-02 7.82122E-03 1.37753E-02 2.15965E-02 6.02093E-03 0.159215 2 1 80.0 0.0 180.0 1.15259E-01 6.67278E-03 2.93821E-02 3.60549E-02 5.13684E-03 0.254922 2 4 80.0 45.0 135.0 1.15815E-01 6.68141E-03 3.04959E-02 3.71773E-02 5.14348E-03 0.263315 2 7 80.0 90.0 90.0 1.20417E-01 6.72173E-03 3.26491E-02 3.93708E-02 5.17452E-03 0.271133 1 1 87.5 0.0 180.0 1.73756E-01 5.41757E-03 5.11971E-02 5.66147E-02 4.17055E-03 0.294649 1 4 87.5 45.0 135.0 1.71675E-01 5.16066E-03 5.46386E-02 5.97992E-02 3.97278E-03 0.318267 1 7 87.5 90.0 90.0 1.71356E-01 5.72732E-03 5.75923E-02 6.33196E-02 4.40900E-03 0.336097 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 5.394E-02 4.422E-01 1.152E-01 1.173E-01 1.255E-01 4.152E-02 1.235E+00 7.759E-03 5.973E-03 1 0.00 0.00 1.440E-02 5.015E+00 2.857E-02 3.113E-02 3.420E-02 1.116E-02 3.966E+00 3 0.78 1.00 1.235E-02 3.744E+00 2.675E-02 2.987E-02 3.472E-02 1.126E-02 4.100E+00 5 1.57 2.00 1.050E-02 2.787E+00 2.496E-02 2.806E-02 3.288E-02 1.134E-02 4.203E+00 7 2.35 3.00 8.876E-03 2.073E+00 2.258E-02 2.545E-02 2.990E-02 1.140E-02 4.286E+00 9 3.13 4.00 7.461E-03 1.543E+00 2.003E-02 2.259E-02 2.652E-02 1.146E-02 4.356E+00 11 3.91 5.00 6.243E-03 1.152E+00 1.753E-02 1.976E-02 2.313E-02 1.150E-02 4.415E+00 13 4.70 6.00 5.205E-03 8.620E-01 1.518E-02 1.708E-02 1.992E-02 1.154E-02 4.465E+00 15 5.48 7.00 4.325E-03 6.478E-01 1.305E-02 1.464E-02 1.699E-02 1.157E-02 4.509E+00 17 6.26 8.00 3.583E-03 4.890E-01 1.114E-02 1.245E-02 1.437E-02 1.160E-02 4.548E+00 19 7.04 9.00 2.962E-03 3.710E-01 9.451E-03 1.053E-02 1.208E-02 1.163E-02 4.581E+00 21 7.83 10.00 2.443E-03 2.828E-01 7.983E-03 8.855E-03 1.010E-02 1.165E-02 4.611E+00 Waveband 8 of 40 completed in 3.7 sec. * * * * * Output for wavelength band 9 (430.0 to 440.0 nm; nominal wavelength = 435.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 435.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 430.0 nm to 440.0 nm: Ed(diffuse) = 4.159E-01 Ed(direct) = 9.195E-01 Ed(total) = 1.335E+00 Absorption Coefficients of Individual Components at 435.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0053 0.1031 0.0221 0.1305 3 0.772 1.000 0.0053 0.1031 0.0221 0.1305 5 1.543 2.000 0.0053 0.1031 0.0221 0.1305 7 2.315 3.000 0.0053 0.1031 0.0221 0.1305 9 3.086 4.000 0.0053 0.1031 0.0221 0.1305 11 3.858 5.000 0.0053 0.1031 0.0221 0.1305 13 4.629 6.000 0.0053 0.1031 0.0221 0.1305 15 5.401 7.000 0.0053 0.1031 0.0221 0.1305 17 6.172 8.000 0.0053 0.1031 0.0221 0.1305 19 6.944 9.000 0.0053 0.1031 0.0221 0.1305 21 7.715 10.000 0.0053 0.1031 0.0221 0.1305 Scattering Coefficients of Individual Components at 435.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0053 0.6357 0.0000 0.6410 3 0.772 1.000 0.0053 0.6357 0.0000 0.6410 5 1.543 2.000 0.0053 0.6357 0.0000 0.6410 7 2.315 3.000 0.0053 0.6357 0.0000 0.6410 9 3.086 4.000 0.0053 0.6357 0.0000 0.6410 11 3.858 5.000 0.0053 0.6357 0.0000 0.6410 13 4.629 6.000 0.0053 0.6357 0.0000 0.6410 15 5.401 7.000 0.0053 0.6357 0.0000 0.6410 17 6.172 8.000 0.0053 0.6357 0.0000 0.6410 19 6.944 9.000 0.0053 0.6357 0.0000 0.6410 21 7.715 10.000 0.0053 0.6357 0.0000 0.6410 Backscattering Coefficients of Individual Components at 435.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00264 0.01271 0.00000 0.01535 3 0.772 1.000 0.00264 0.01271 0.00000 0.01535 5 1.543 2.000 0.00264 0.01271 0.00000 0.01535 7 2.315 3.000 0.00264 0.01271 0.00000 0.01535 9 3.086 4.000 0.00264 0.01271 0.00000 0.01535 11 3.858 5.000 0.00264 0.01271 0.00000 0.01535 13 4.629 6.000 0.00264 0.01271 0.00000 0.01535 15 5.401 7.000 0.00264 0.01271 0.00000 0.01535 17 6.172 8.000 0.00264 0.01271 0.00000 0.01535 19 6.944 9.000 0.00264 0.01271 0.00000 0.01535 21 7.715 10.000 0.00264 0.01271 0.00000 0.01535 Summary of Inherent Optical Properties at 435.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1305 0.6410 0.7715 0.8308 0.01535 0.02395 3 0.772 1.000 0.1305 0.6410 0.7715 0.8308 0.01535 0.02395 5 1.543 2.000 0.1305 0.6410 0.7715 0.8308 0.01535 0.02395 7 2.315 3.000 0.1305 0.6410 0.7715 0.8308 0.01535 0.02395 9 3.086 4.000 0.1305 0.6410 0.7715 0.8308 0.01535 0.02395 11 3.858 5.000 0.1305 0.6410 0.7715 0.8308 0.01535 0.02395 13 4.629 6.000 0.1305 0.6410 0.7715 0.8308 0.01535 0.02395 15 5.401 7.000 0.1305 0.6410 0.7715 0.8308 0.01535 0.02395 17 6.172 8.000 0.1305 0.6410 0.7715 0.8308 0.01535 0.02395 19 6.944 9.000 0.1305 0.6410 0.7715 0.8308 0.01535 0.02395 21 7.715 10.000 0.1305 0.6410 0.7715 0.8308 0.01535 0.02395 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4295E-01 8 20.00 8.0654E-01 7 30.00 6.3016E-01 6 40.00 4.5733E-01 5 50.00 3.1460E-01 4 60.00 2.0976E-01 3 70.00 1.3859E-01 2 80.00 9.2859E-02 1 87.50 6.9565E-02 1 92.50 5.7066E-02 2 100.00 4.4431E-02 3 110.00 3.3291E-02 4 120.00 2.6109E-02 5 130.00 2.1516E-02 6 140.00 1.8576E-02 7 150.00 1.6715E-02 8 160.00 1.5582E-02 9 170.00 1.4971E-02 10 180.00 1.4756E-02 Asymptotic AOP values are MUu(inf) = 0.3824 MUd(inf) = 0.7107 MU(inf) = 0.6132 R(inf) = 0.0527 Lu(inf)/Ed(inf) = 0.010836 (1/sr) k(inf) = 0.2128 (1/m) absorp(check) = 0.1305 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 435.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.6330E-01 1.7076E+00 1.8709E+00 6.6162E-02 1.3354E+00 0.4052 0.7820 0.6784 4.9544E-02 1 0.00 0.00 1.2575E-01 1.4717E+00 1.5975E+00 5.4524E-02 1.3238E+00 0.4336 0.8995 0.7945 4.1189E-02 3 0.77 1.00 1.1395E-01 1.2960E+00 1.4099E+00 4.8185E-02 1.1218E+00 0.4229 0.8656 0.7614 4.2955E-02 5 1.54 2.00 1.0072E-01 1.1230E+00 1.2238E+00 4.1866E-02 9.4422E-01 0.4157 0.8408 0.7374 4.4339E-02 7 2.31 3.00 8.7593E-02 9.6225E-01 1.0498E+00 3.5951E-02 7.9058E-01 0.4104 0.8216 0.7188 4.5474E-02 9 3.09 4.00 7.5300E-02 8.1755E-01 8.9285E-01 3.0601E-02 6.5905E-01 0.4064 0.8061 0.7039 4.6431E-02 11 3.86 5.00 6.4161E-02 6.8997E-01 7.5413E-01 2.5866E-02 5.4738E-01 0.4031 0.7933 0.6916 4.7253E-02 13 4.63 6.00 5.4283E-02 5.7910E-01 6.3338E-01 2.1738E-02 4.5319E-01 0.4004 0.7826 0.6812 4.7966E-02 15 5.40 7.00 4.5657E-02 4.8379E-01 5.2945E-01 1.8181E-02 3.7417E-01 0.3982 0.7734 0.6724 4.8589E-02 17 6.17 8.00 3.8212E-02 4.0257E-01 4.4078E-01 1.5143E-02 3.0817E-01 0.3963 0.7655 0.6648 4.9137E-02 19 6.94 9.00 3.1846E-02 3.3383E-01 3.6568E-01 1.2567E-02 2.5328E-01 0.3946 0.7587 0.6582 4.9619E-02 21 7.72 10.00 2.6442E-02 2.7599E-01 3.0244E-01 1.0397E-02 2.0775E-01 0.3932 0.7527 0.6526 5.0046E-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 0.09201 0.12341 0.12094 0.11467 0.16175 0.16377 0.15181 1.000 1.010 1.005 0.11283 0.13616 0.13427 0.13332 0.16927 0.17088 0.16157 2.000 2.010 2.005 0.13264 0.14954 0.14815 0.14714 0.17516 0.17646 0.16891 3.000 3.010 3.005 0.14606 0.15914 0.15805 0.15714 0.17992 0.18101 0.17470 4.000 4.010 4.005 0.15605 0.16658 0.16569 0.16490 0.18392 0.18484 0.17947 5.000 5.010 5.005 0.16391 0.17261 0.17187 0.17119 0.18734 0.18814 0.18351 6.000 6.010 6.005 0.17034 0.17765 0.17702 0.17644 0.19030 0.19100 0.18698 7.000 7.010 7.005 0.17569 0.18192 0.18138 0.18089 0.19289 0.19350 0.18999 8.000 8.010 8.005 0.18025 0.18560 0.18514 0.18473 0.19517 0.19571 0.19263 9.000 9.010 9.005 0.18418 0.18881 0.18840 0.18806 0.19718 0.19766 0.19495 10.000 10.010 10.005 0.18760 0.19161 0.19126 0.19097 0.19896 0.19938 0.19700 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 4.40484E-01 7.39483E-03 4.78863E-02 5.52811E-02 5.53753E-03 0.108713 9 1 10.0 0.0 180.0 1.93120E-01 7.50411E-03 2.12232E-02 2.87273E-02 5.61937E-03 0.109896 9 4 10.0 45.0 135.0 2.15840E-01 7.47587E-03 2.43543E-02 3.18302E-02 5.59822E-03 0.112835 9 7 10.0 90.0 90.0 3.01579E-01 7.46357E-03 3.64580E-02 4.39215E-02 5.58901E-03 0.120890 8 1 20.0 0.0 180.0 1.15450E-01 7.57331E-03 7.20080E-03 1.47741E-02 5.67119E-03 0.062371 8 4 20.0 45.0 135.0 1.28830E-01 7.50555E-03 9.17554E-03 1.66811E-02 5.62045E-03 0.071222 8 7 20.0 90.0 90.0 1.81048E-01 7.50308E-03 1.80362E-02 2.55392E-02 5.61859E-03 0.099621 7 1 30.0 0.0 180.0 8.13456E-02 7.68589E-03 2.66134E-03 1.03472E-02 5.75549E-03 0.032716 7 4 30.0 45.0 135.0 8.88338E-02 7.68733E-03 3.29795E-03 1.09853E-02 5.75657E-03 0.037125 7 7 30.0 90.0 90.0 1.16776E-01 7.64992E-03 6.46686E-03 1.41168E-02 5.72855E-03 0.055378 6 1 40.0 0.0 180.0 6.68228E-02 7.77819E-03 1.94991E-03 9.72810E-03 5.82461E-03 0.029180 6 4 40.0 45.0 135.0 7.15461E-02 7.77505E-03 2.13355E-03 9.90861E-03 5.82226E-03 0.029821 6 7 40.0 90.0 90.0 8.78288E-02 7.74998E-03 3.00382E-03 1.07538E-02 5.80349E-03 0.034201 5 1 50.0 0.0 180.0 6.18930E-02 7.92559E-03 2.50090E-03 1.04265E-02 5.93499E-03 0.040407 5 4 50.0 45.0 135.0 6.53699E-02 7.88337E-03 2.63931E-03 1.05227E-02 5.90337E-03 0.040375 5 7 50.0 90.0 90.0 7.65387E-02 7.86833E-03 3.12755E-03 1.09959E-02 5.89211E-03 0.040862 4 1 60.0 0.0 180.0 6.41971E-02 7.86447E-03 4.92734E-03 1.27918E-02 5.88922E-03 0.076753 4 4 60.0 45.0 135.0 6.69730E-02 7.81386E-03 5.08020E-03 1.28941E-02 5.85132E-03 0.075854 4 7 60.0 90.0 90.0 7.57737E-02 7.89014E-03 5.69435E-03 1.35845E-02 5.90844E-03 0.075150 3 1 70.0 0.0 180.0 7.69906E-02 7.36268E-03 1.23205E-02 1.96831E-02 5.51346E-03 0.160025 3 4 70.0 45.0 135.0 7.90255E-02 7.39292E-03 1.26140E-02 2.00069E-02 5.53610E-03 0.159619 3 7 70.0 90.0 90.0 8.61842E-02 7.45279E-03 1.37218E-02 2.11746E-02 5.58094E-03 0.159215 2 1 80.0 0.0 180.0 1.14812E-01 6.35967E-03 2.92681E-02 3.56278E-02 4.76236E-03 0.254922 2 4 80.0 45.0 135.0 1.15366E-01 6.36798E-03 3.03775E-02 3.67455E-02 4.76859E-03 0.263315 2 7 80.0 90.0 90.0 1.19950E-01 6.40785E-03 3.25224E-02 3.89302E-02 4.79844E-03 0.271133 1 1 87.5 0.0 180.0 1.73082E-01 5.16533E-03 5.09984E-02 5.61638E-02 3.86799E-03 0.294649 1 4 87.5 45.0 135.0 1.71009E-01 4.92072E-03 5.44265E-02 5.93472E-02 3.68483E-03 0.318267 1 7 87.5 90.0 90.0 1.70691E-01 5.46330E-03 5.73688E-02 6.28320E-02 4.09113E-03 0.336097 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 5.528E-02 4.405E-01 1.146E-01 1.168E-01 1.249E-01 4.140E-02 1.197E+00 7.395E-03 5.538E-03 1 0.00 0.00 1.372E-02 5.196E+00 2.743E-02 2.997E-02 3.303E-02 1.036E-02 3.974E+00 3 0.77 1.00 1.173E-02 3.879E+00 2.571E-02 2.880E-02 3.362E-02 1.046E-02 4.108E+00 5 1.54 2.00 9.941E-03 2.887E+00 2.390E-02 2.696E-02 3.172E-02 1.053E-02 4.212E+00 7 2.31 3.00 8.371E-03 2.147E+00 2.154E-02 2.436E-02 2.873E-02 1.059E-02 4.295E+00 9 3.09 4.00 7.012E-03 1.597E+00 1.903E-02 2.154E-02 2.540E-02 1.064E-02 4.364E+00 11 3.86 5.00 5.848E-03 1.191E+00 1.660E-02 1.877E-02 2.207E-02 1.068E-02 4.423E+00 13 4.63 6.00 4.859E-03 8.902E-01 1.433E-02 1.617E-02 1.894E-02 1.072E-02 4.474E+00 15 5.40 7.00 4.024E-03 6.680E-01 1.227E-02 1.381E-02 1.610E-02 1.076E-02 4.518E+00 17 6.17 8.00 3.323E-03 5.033E-01 1.043E-02 1.171E-02 1.358E-02 1.078E-02 4.556E+00 19 6.94 9.00 2.738E-03 3.810E-01 8.826E-03 9.865E-03 1.137E-02 1.081E-02 4.590E+00 21 7.72 10.00 2.251E-03 2.897E-01 7.430E-03 8.271E-03 9.477E-03 1.083E-02 4.620E+00 Waveband 9 of 40 completed in 3.7 sec. * * * * * Output for wavelength band 10 (440.0 to 450.0 nm; nominal wavelength = 445.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 445.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 440.0 nm to 450.0 nm: Ed(diffuse) = 4.773E-01 Ed(direct) = 1.097E+00 Ed(total) = 1.574E+00 Absorption Coefficients of Individual Components at 445.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0075 0.1000 0.0192 0.1267 3 0.753 1.000 0.0075 0.1000 0.0192 0.1267 5 1.506 2.000 0.0075 0.1000 0.0192 0.1267 7 2.259 3.000 0.0075 0.1000 0.0192 0.1267 9 3.012 4.000 0.0075 0.1000 0.0192 0.1267 11 3.765 5.000 0.0075 0.1000 0.0192 0.1267 13 4.518 6.000 0.0075 0.1000 0.0192 0.1267 15 5.271 7.000 0.0075 0.1000 0.0192 0.1267 17 6.024 8.000 0.0075 0.1000 0.0192 0.1267 19 6.777 9.000 0.0075 0.1000 0.0192 0.1267 21 7.530 10.000 0.0075 0.1000 0.0192 0.1267 Scattering Coefficients of Individual Components at 445.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0048 0.6214 0.0000 0.6262 3 0.753 1.000 0.0048 0.6214 0.0000 0.6262 5 1.506 2.000 0.0048 0.6214 0.0000 0.6262 7 2.259 3.000 0.0048 0.6214 0.0000 0.6262 9 3.012 4.000 0.0048 0.6214 0.0000 0.6262 11 3.765 5.000 0.0048 0.6214 0.0000 0.6262 13 4.518 6.000 0.0048 0.6214 0.0000 0.6262 15 5.271 7.000 0.0048 0.6214 0.0000 0.6262 17 6.024 8.000 0.0048 0.6214 0.0000 0.6262 19 6.777 9.000 0.0048 0.6214 0.0000 0.6262 21 7.530 10.000 0.0048 0.6214 0.0000 0.6262 Backscattering Coefficients of Individual Components at 445.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00239 0.01243 0.00000 0.01482 3 0.753 1.000 0.00239 0.01243 0.00000 0.01482 5 1.506 2.000 0.00239 0.01243 0.00000 0.01482 7 2.259 3.000 0.00239 0.01243 0.00000 0.01482 9 3.012 4.000 0.00239 0.01243 0.00000 0.01482 11 3.765 5.000 0.00239 0.01243 0.00000 0.01482 13 4.518 6.000 0.00239 0.01243 0.00000 0.01482 15 5.271 7.000 0.00239 0.01243 0.00000 0.01482 17 6.024 8.000 0.00239 0.01243 0.00000 0.01482 19 6.777 9.000 0.00239 0.01243 0.00000 0.01482 21 7.530 10.000 0.00239 0.01243 0.00000 0.01482 Summary of Inherent Optical Properties at 445.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1267 0.6262 0.7530 0.8317 0.01482 0.02366 3 0.753 1.000 0.1267 0.6262 0.7530 0.8317 0.01482 0.02366 5 1.506 2.000 0.1267 0.6262 0.7530 0.8317 0.01482 0.02366 7 2.259 3.000 0.1267 0.6262 0.7530 0.8317 0.01482 0.02366 9 3.012 4.000 0.1267 0.6262 0.7530 0.8317 0.01482 0.02366 11 3.765 5.000 0.1267 0.6262 0.7530 0.8317 0.01482 0.02366 13 4.518 6.000 0.1267 0.6262 0.7530 0.8317 0.01482 0.02366 15 5.271 7.000 0.1267 0.6262 0.7530 0.8317 0.01482 0.02366 17 6.024 8.000 0.1267 0.6262 0.7530 0.8317 0.01482 0.02366 19 6.777 9.000 0.1267 0.6262 0.7530 0.8317 0.01482 0.02366 21 7.530 10.000 0.1267 0.6262 0.7530 0.8317 0.01482 0.02366 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4316E-01 8 20.00 8.0717E-01 7 30.00 6.3118E-01 6 40.00 4.5852E-01 5 50.00 3.1571E-01 4 60.00 2.1065E-01 3 70.00 1.3924E-01 2 80.00 9.3304E-02 1 87.50 6.9883E-02 1 92.50 5.7307E-02 2 100.00 4.4590E-02 3 110.00 3.3376E-02 4 120.00 2.6144E-02 5 130.00 2.1517E-02 6 140.00 1.8555E-02 7 150.00 1.6679E-02 8 160.00 1.5537E-02 9 170.00 1.4922E-02 10 180.00 1.4705E-02 Asymptotic AOP values are MUu(inf) = 0.3818 MUd(inf) = 0.7103 MU(inf) = 0.6130 R(inf) = 0.0526 Lu(inf)/Ed(inf) = 0.010777 (1/sr) k(inf) = 0.2068 (1/m) absorp(check) = 0.1268 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 445.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.8935E-01 2.0021E+00 2.1915E+00 7.7322E-02 1.5742E+00 0.4084 0.7863 0.6831 4.9118E-02 1 0.00 0.00 1.4728E-01 1.7329E+00 1.8802E+00 6.3812E-02 1.5607E+00 0.4333 0.9006 0.7962 4.0887E-02 3 0.75 1.00 1.3403E-01 1.5327E+00 1.6667E+00 5.6660E-02 1.3294E+00 0.4227 0.8673 0.7636 4.2622E-02 5 1.51 2.00 1.1910E-01 1.3350E+00 1.4541E+00 4.9494E-02 1.1251E+00 0.4156 0.8427 0.7397 4.3992E-02 7 2.26 3.00 1.0417E-01 1.1502E+00 1.2544E+00 4.2744E-02 9.4731E-01 0.4103 0.8236 0.7211 4.5121E-02 9 3.01 4.00 9.0087E-02 9.8286E-01 1.0729E+00 3.6599E-02 7.9430E-01 0.4063 0.8082 0.7062 4.6077E-02 11 3.76 5.00 7.7232E-02 8.3441E-01 9.1164E-01 3.1123E-02 6.6361E-01 0.4030 0.7953 0.6938 4.6900E-02 13 4.52 6.00 6.5750E-02 7.0457E-01 7.7032E-01 2.6318E-02 5.5272E-01 0.4003 0.7845 0.6833 4.7616E-02 15 5.27 7.00 5.5652E-02 5.9224E-01 6.4790E-01 2.2149E-02 4.5911E-01 0.3980 0.7752 0.6744 4.8244E-02 17 6.02 8.00 4.6875E-02 4.9588E-01 5.4276E-01 1.8565E-02 3.8045E-01 0.3961 0.7672 0.6668 4.8797E-02 19 6.78 9.00 3.9316E-02 4.1380E-01 4.5311E-01 1.5505E-02 3.1460E-01 0.3944 0.7603 0.6601 4.9286E-02 21 7.53 10.00 3.2857E-02 3.4428E-01 3.7714E-01 1.2910E-02 2.5967E-01 0.3929 0.7542 0.6543 4.9718E-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 0.08818 0.11932 0.11688 0.11039 0.15681 0.15879 0.14689 1.000 1.010 1.005 0.10788 0.13131 0.12942 0.12820 0.16396 0.16555 0.15621 2.000 2.010 2.005 0.12710 0.14419 0.14279 0.14158 0.16961 0.17090 0.16329 3.000 3.010 3.005 0.14021 0.15350 0.15239 0.15132 0.17421 0.17529 0.16890 4.000 4.010 4.005 0.15000 0.16074 0.15984 0.15891 0.17807 0.17900 0.17355 5.000 5.010 5.005 0.15773 0.16662 0.16587 0.16508 0.18139 0.18220 0.17748 6.000 6.010 6.005 0.16405 0.17154 0.17090 0.17023 0.18428 0.18498 0.18088 7.000 7.010 7.005 0.16935 0.17574 0.17519 0.17462 0.18681 0.18743 0.18383 8.000 8.010 8.005 0.17386 0.17937 0.17889 0.17841 0.18904 0.18959 0.18643 9.000 9.010 9.005 0.17775 0.18252 0.18211 0.18170 0.19102 0.19150 0.18872 10.000 10.010 10.005 0.18115 0.18530 0.18494 0.18459 0.19277 0.19320 0.19074 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 5.05466E-01 8.63549E-03 5.68568E-02 6.54923E-02 5.48555E-03 0.112484 9 1 10.0 0.0 180.0 2.21610E-01 8.76246E-03 2.51267E-02 3.38892E-02 5.56620E-03 0.113383 9 4 10.0 45.0 135.0 2.47684E-01 8.72983E-03 2.88488E-02 3.75786E-02 5.54548E-03 0.116474 9 7 10.0 90.0 90.0 3.46052E-01 8.71634E-03 4.32500E-02 5.19664E-02 5.53691E-03 0.124981 8 1 20.0 0.0 180.0 1.32482E-01 8.84379E-03 8.45900E-03 1.73028E-02 5.61787E-03 0.063850 8 4 20.0 45.0 135.0 1.47835E-01 8.76525E-03 1.08009E-02 1.95662E-02 5.56797E-03 0.073061 8 7 20.0 90.0 90.0 2.07757E-01 8.76386E-03 2.13285E-02 3.00923E-02 5.56709E-03 0.102661 7 1 30.0 0.0 180.0 9.33462E-02 8.97624E-03 3.07868E-03 1.20549E-02 5.70200E-03 0.032981 7 4 30.0 45.0 135.0 1.01939E-01 8.97876E-03 3.82842E-03 1.28072E-02 5.70360E-03 0.037556 7 7 30.0 90.0 90.0 1.34004E-01 8.93727E-03 7.57478E-03 1.65121E-02 5.67724E-03 0.056527 6 1 40.0 0.0 180.0 7.66809E-02 9.08604E-03 2.23884E-03 1.13249E-02 5.77175E-03 0.029197 6 4 40.0 45.0 135.0 8.21010E-02 9.08358E-03 2.45115E-03 1.15347E-02 5.77019E-03 0.029855 6 7 40.0 90.0 90.0 1.00786E-01 9.05750E-03 3.46452E-03 1.25220E-02 5.75362E-03 0.034375 5 1 50.0 0.0 180.0 7.10238E-02 9.26037E-03 2.87001E-03 1.21304E-02 5.88249E-03 0.040409 5 4 50.0 45.0 135.0 7.50136E-02 9.21256E-03 3.02868E-03 1.22412E-02 5.85212E-03 0.040375 5 7 50.0 90.0 90.0 8.78302E-02 9.19915E-03 3.58974E-03 1.27889E-02 5.84360E-03 0.040871 4 1 60.0 0.0 180.0 7.36678E-02 9.19113E-03 5.65425E-03 1.48454E-02 5.83851E-03 0.076753 4 4 60.0 45.0 135.0 7.68533E-02 9.13382E-03 5.82966E-03 1.49635E-02 5.80210E-03 0.075854 4 7 60.0 90.0 90.0 8.69523E-02 9.22803E-03 6.53442E-03 1.57624E-02 5.86194E-03 0.075150 3 1 70.0 0.0 180.0 8.83488E-02 8.60689E-03 1.41380E-02 2.27449E-02 5.46738E-03 0.160025 3 4 70.0 45.0 135.0 9.06839E-02 8.64428E-03 1.44749E-02 2.31192E-02 5.49113E-03 0.159619 3 7 70.0 90.0 90.0 9.88986E-02 8.71998E-03 1.57461E-02 2.44661E-02 5.53921E-03 0.159215 2 1 80.0 0.0 180.0 1.31749E-01 7.43604E-03 3.35859E-02 4.10219E-02 4.72361E-03 0.254922 2 4 80.0 45.0 135.0 1.32385E-01 7.44779E-03 3.48590E-02 4.23068E-02 4.73108E-03 0.263315 2 7 80.0 90.0 90.0 1.37646E-01 7.49993E-03 3.73202E-02 4.48202E-02 4.76420E-03 0.271133 1 1 87.5 0.0 180.0 1.98616E-01 6.04074E-03 5.85220E-02 6.45628E-02 3.83728E-03 0.294649 1 4 87.5 45.0 135.0 1.96237E-01 5.75641E-03 6.24559E-02 6.82123E-02 3.65666E-03 0.318267 1 7 87.5 90.0 90.0 1.95873E-01 6.39637E-03 6.58321E-02 7.22285E-02 4.06319E-03 0.336097 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 6.549E-02 5.055E-01 1.316E-01 1.341E-01 1.434E-01 4.160E-02 1.181E+00 8.635E-03 5.486E-03 1 0.00 0.00 1.602E-02 6.165E+00 3.209E-02 3.511E-02 3.877E-02 1.027E-02 3.983E+00 3 0.75 1.00 1.377E-02 4.639E+00 3.016E-02 3.384E-02 3.958E-02 1.036E-02 4.116E+00 5 1.51 2.00 1.173E-02 3.480E+00 2.818E-02 3.183E-02 3.754E-02 1.043E-02 4.218E+00 7 2.26 3.00 9.937E-03 2.607E+00 2.554E-02 2.894E-02 3.421E-02 1.049E-02 4.302E+00 9 3.01 4.00 8.372E-03 1.955E+00 2.271E-02 2.575E-02 3.042E-02 1.054E-02 4.371E+00 11 3.76 5.00 7.024E-03 1.468E+00 1.992E-02 2.257E-02 2.661E-02 1.059E-02 4.431E+00 13 4.52 6.00 5.872E-03 1.106E+00 1.731E-02 1.957E-02 2.299E-02 1.062E-02 4.482E+00 15 5.27 7.00 4.893E-03 8.354E-01 1.491E-02 1.682E-02 1.967E-02 1.066E-02 4.527E+00 17 6.02 8.00 4.066E-03 6.336E-01 1.277E-02 1.436E-02 1.670E-02 1.069E-02 4.566E+00 19 6.78 9.00 3.371E-03 4.827E-01 1.087E-02 1.218E-02 1.408E-02 1.071E-02 4.600E+00 21 7.53 10.00 2.788E-03 3.693E-01 9.210E-03 1.028E-02 1.182E-02 1.074E-02 4.630E+00 Waveband 10 of 40 completed in 3.6 sec. * * * * * Output for wavelength band 11 (450.0 to 460.0 nm; nominal wavelength = 455.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 455.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 450.0 nm to 460.0 nm: Ed(diffuse) = 4.975E-01 Ed(direct) = 1.185E+00 Ed(total) = 1.682E+00 Absorption Coefficients of Individual Components at 455.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0096 0.0949 0.0167 0.1212 3 0.733 1.000 0.0096 0.0949 0.0167 0.1212 5 1.467 2.000 0.0096 0.0949 0.0167 0.1212 7 2.200 3.000 0.0096 0.0949 0.0167 0.1212 9 2.933 4.000 0.0096 0.0949 0.0167 0.1212 11 3.667 5.000 0.0096 0.0949 0.0167 0.1212 13 4.400 6.000 0.0096 0.0949 0.0167 0.1212 15 5.133 7.000 0.0096 0.0949 0.0167 0.1212 17 5.866 8.000 0.0096 0.0949 0.0167 0.1212 19 6.600 9.000 0.0096 0.0949 0.0167 0.1212 21 7.333 10.000 0.0096 0.0949 0.0167 0.1212 Scattering Coefficients of Individual Components at 455.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0043 0.6078 0.0000 0.6121 3 0.733 1.000 0.0043 0.6078 0.0000 0.6121 5 1.467 2.000 0.0043 0.6078 0.0000 0.6121 7 2.200 3.000 0.0043 0.6078 0.0000 0.6121 9 2.933 4.000 0.0043 0.6078 0.0000 0.6121 11 3.667 5.000 0.0043 0.6078 0.0000 0.6121 13 4.400 6.000 0.0043 0.6078 0.0000 0.6121 15 5.133 7.000 0.0043 0.6078 0.0000 0.6121 17 5.866 8.000 0.0043 0.6078 0.0000 0.6121 19 6.600 9.000 0.0043 0.6078 0.0000 0.6121 21 7.333 10.000 0.0043 0.6078 0.0000 0.6121 Backscattering Coefficients of Individual Components at 455.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00217 0.01216 0.00000 0.01433 3 0.733 1.000 0.00217 0.01216 0.00000 0.01433 5 1.467 2.000 0.00217 0.01216 0.00000 0.01433 7 2.200 3.000 0.00217 0.01216 0.00000 0.01433 9 2.933 4.000 0.00217 0.01216 0.00000 0.01433 11 3.667 5.000 0.00217 0.01216 0.00000 0.01433 13 4.400 6.000 0.00217 0.01216 0.00000 0.01433 15 5.133 7.000 0.00217 0.01216 0.00000 0.01433 17 5.866 8.000 0.00217 0.01216 0.00000 0.01433 19 6.600 9.000 0.00217 0.01216 0.00000 0.01433 21 7.333 10.000 0.00217 0.01216 0.00000 0.01433 Summary of Inherent Optical Properties at 455.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1212 0.6121 0.7333 0.8347 0.01433 0.02340 3 0.733 1.000 0.1212 0.6121 0.7333 0.8347 0.01433 0.02340 5 1.467 2.000 0.1212 0.6121 0.7333 0.8347 0.01433 0.02340 7 2.200 3.000 0.1212 0.6121 0.7333 0.8347 0.01433 0.02340 9 2.933 4.000 0.1212 0.6121 0.7333 0.8347 0.01433 0.02340 11 3.667 5.000 0.1212 0.6121 0.7333 0.8347 0.01433 0.02340 13 4.400 6.000 0.1212 0.6121 0.7333 0.8347 0.01433 0.02340 15 5.133 7.000 0.1212 0.6121 0.7333 0.8347 0.01433 0.02340 17 5.866 8.000 0.1212 0.6121 0.7333 0.8347 0.01433 0.02340 19 6.600 9.000 0.1212 0.6121 0.7333 0.8347 0.01433 0.02340 21 7.333 10.000 0.1212 0.6121 0.7333 0.8347 0.01433 0.02340 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4391E-01 8 20.00 8.0947E-01 7 30.00 6.3496E-01 6 40.00 4.6301E-01 5 50.00 3.2009E-01 4 60.00 2.1439E-01 3 70.00 1.4219E-01 2 80.00 9.5519E-02 1 87.50 7.1637E-02 1 92.50 5.8776E-02 2 100.00 4.5754E-02 3 110.00 3.4247E-02 4 120.00 2.6810E-02 5 130.00 2.2043E-02 6 140.00 1.8987E-02 7 150.00 1.7049E-02 8 160.00 1.5868E-02 9 170.00 1.5231E-02 10 180.00 1.5007E-02 Asymptotic AOP values are MUu(inf) = 0.3815 MUd(inf) = 0.7086 MU(inf) = 0.6102 R(inf) = 0.0534 Lu(inf)/Ed(inf) = 0.010912 (1/sr) k(inf) = 0.1986 (1/m) absorp(check) = 0.1212 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 455.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.0052E-01 2.1291E+00 2.3296E+00 8.2612E-02 1.6823E+00 0.4120 0.7901 0.6867 4.9107E-02 1 0.00 0.00 1.5953E-01 1.8524E+00 2.0119E+00 6.9138E-02 1.6688E+00 0.4334 0.9009 0.7951 4.1429E-02 3 0.73 1.00 1.4602E-01 1.6487E+00 1.7947E+00 6.1779E-02 1.4315E+00 0.4231 0.8682 0.7632 4.3158E-02 5 1.47 2.00 1.3067E-01 1.4463E+00 1.5770E+00 5.4353E-02 1.2204E+00 0.4160 0.8438 0.7394 4.4536E-02 7 2.20 3.00 1.1516E-01 1.2556E+00 1.3707E+00 4.7297E-02 1.0354E+00 0.4107 0.8247 0.7209 4.5678E-02 9 2.93 4.00 1.0037E-01 1.0813E+00 1.1817E+00 4.0815E-02 8.7495E-01 0.4066 0.8092 0.7059 4.6648E-02 11 3.67 5.00 8.6749E-02 9.2536E-01 1.0121E+00 3.4987E-02 7.3678E-01 0.4033 0.7962 0.6934 4.7486E-02 13 4.40 6.00 7.4460E-02 7.8775E-01 8.6221E-01 2.9827E-02 6.1858E-01 0.4006 0.7853 0.6828 4.8218E-02 15 5.13 7.00 6.3549E-02 6.6762E-01 7.3117E-01 2.5309E-02 5.1798E-01 0.3983 0.7759 0.6738 4.8861E-02 17 5.87 8.00 5.3976E-02 5.6364E-01 6.1762E-01 2.1389E-02 4.3273E-01 0.3963 0.7677 0.6660 4.9428E-02 19 6.60 9.00 4.5655E-02 4.7428E-01 5.1993E-01 1.8014E-02 3.6078E-01 0.3946 0.7607 0.6592 4.9931E-02 21 7.33 10.00 3.8478E-02 3.9792E-01 4.3640E-01 1.5125E-02 3.0024E-01 0.3931 0.7545 0.6533 5.0377E-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 0.08353 0.11371 0.11132 0.10471 0.15002 0.15198 0.14024 1.000 1.010 1.005 0.10128 0.12447 0.12258 0.12135 0.15674 0.15834 0.14904 2.000 2.010 2.005 0.11974 0.13680 0.13539 0.13419 0.16212 0.16342 0.15581 3.000 3.010 3.005 0.13246 0.14579 0.14467 0.14361 0.16652 0.16762 0.16121 4.000 4.010 4.005 0.14202 0.15282 0.15190 0.15099 0.17025 0.17119 0.16570 5.000 5.010 5.005 0.14959 0.15856 0.15779 0.15701 0.17345 0.17427 0.16952 6.000 6.010 6.005 0.15580 0.16337 0.16272 0.16206 0.17625 0.17697 0.17283 7.000 7.010 7.005 0.16101 0.16749 0.16692 0.16637 0.17871 0.17934 0.17572 8.000 8.010 8.005 0.16547 0.17105 0.17056 0.17010 0.18089 0.18145 0.17826 9.000 9.010 9.005 0.16933 0.17417 0.17374 0.17335 0.18282 0.18331 0.18051 10.000 10.010 10.005 0.17269 0.17690 0.17653 0.17621 0.18453 0.18498 0.18250 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 5.26895E-01 9.34225E-03 6.11514E-02 7.04936E-02 5.55325E-03 0.116060 9 1 10.0 0.0 180.0 2.31005E-01 9.47821E-03 2.69556E-02 3.64338E-02 5.63406E-03 0.116688 9 4 10.0 45.0 135.0 2.58188E-01 9.44355E-03 3.09631E-02 4.04067E-02 5.61346E-03 0.119925 9 7 10.0 90.0 90.0 3.60706E-01 9.43053E-03 4.64810E-02 5.59115E-02 5.60572E-03 0.128861 8 1 20.0 0.0 180.0 1.38099E-01 9.56660E-03 9.01125E-03 1.85779E-02 5.68661E-03 0.065252 8 4 20.0 45.0 135.0 1.54103E-01 9.48269E-03 1.15275E-02 2.10102E-02 5.63673E-03 0.074804 8 7 20.0 90.0 90.0 2.16565E-01 9.48381E-03 2.28569E-02 3.23407E-02 5.63739E-03 0.105543 7 1 30.0 0.0 180.0 9.73036E-02 9.71093E-03 3.23364E-03 1.29446E-02 5.77240E-03 0.033232 7 4 30.0 45.0 135.0 1.06261E-01 9.71513E-03 4.03416E-03 1.37493E-02 5.77490E-03 0.037965 7 7 30.0 90.0 90.0 1.39685E-01 9.67391E-03 8.04804E-03 1.77220E-02 5.75039E-03 0.057616 6 1 40.0 0.0 180.0 7.99318E-02 9.83204E-03 2.33500E-03 1.21670E-02 5.84439E-03 0.029212 6 4 40.0 45.0 135.0 8.55816E-02 9.83137E-03 2.55788E-03 1.23893E-02 5.84399E-03 0.029888 6 7 40.0 90.0 90.0 1.05059E-01 9.80810E-03 3.62876E-03 1.34369E-02 5.83016E-03 0.034540 5 1 50.0 0.0 180.0 7.40349E-02 1.00229E-02 2.99184E-03 1.30148E-02 5.95787E-03 0.040411 5 4 50.0 45.0 135.0 7.81938E-02 9.97359E-03 3.15708E-03 1.31307E-02 5.92853E-03 0.040375 5 7 50.0 90.0 90.0 9.15537E-02 9.96502E-03 3.74272E-03 1.37077E-02 5.92343E-03 0.040880 4 1 60.0 0.0 180.0 7.67910E-02 9.95016E-03 5.89396E-03 1.58441E-02 5.91461E-03 0.076753 4 4 60.0 45.0 135.0 8.01115E-02 9.89080E-03 6.07681E-03 1.59676E-02 5.87932E-03 0.075854 4 7 60.0 90.0 90.0 9.06386E-02 9.99957E-03 6.81145E-03 1.68110E-02 5.94398E-03 0.075150 3 1 70.0 0.0 180.0 9.20943E-02 9.31939E-03 1.47374E-02 2.40568E-02 5.53966E-03 0.160025 3 4 70.0 45.0 135.0 9.45284E-02 9.36266E-03 1.50886E-02 2.44512E-02 5.56538E-03 0.159619 3 7 70.0 90.0 90.0 1.03091E-01 9.45167E-03 1.64137E-02 2.58654E-02 5.61829E-03 0.159215 2 1 80.0 0.0 180.0 1.37335E-01 8.05266E-03 3.50098E-02 4.30624E-02 4.78669E-03 0.254922 2 4 80.0 45.0 135.0 1.37998E-01 8.06796E-03 3.63369E-02 4.44048E-02 4.79578E-03 0.263315 2 7 80.0 90.0 90.0 1.43481E-01 8.13085E-03 3.89024E-02 4.70333E-02 4.83317E-03 0.271133 1 1 87.5 0.0 180.0 2.07036E-01 6.54203E-03 6.10031E-02 6.75451E-02 3.88873E-03 0.294649 1 4 87.5 45.0 135.0 2.04557E-01 6.23616E-03 6.51037E-02 7.13398E-02 3.70692E-03 0.318267 1 7 87.5 90.0 90.0 2.04177E-01 6.93516E-03 6.86231E-02 7.55582E-02 4.12242E-03 0.336097 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 7.049E-02 5.269E-01 1.373E-01 1.399E-01 1.496E-01 4.190E-02 1.172E+00 9.342E-03 5.553E-03 1 0.00 0.00 1.733E-02 6.627E+00 3.468E-02 3.799E-02 4.199E-02 1.039E-02 3.989E+00 3 0.73 1.00 1.500E-02 5.033E+00 3.268E-02 3.670E-02 4.295E-02 1.048E-02 4.120E+00 5 1.47 2.00 1.288E-02 3.811E+00 3.073E-02 3.475E-02 4.102E-02 1.055E-02 4.221E+00 7 2.20 3.00 1.099E-02 2.883E+00 2.807E-02 3.183E-02 3.767E-02 1.061E-02 4.305E+00 9 2.93 4.00 9.330E-03 2.182E+00 2.516E-02 2.856E-02 3.379E-02 1.066E-02 4.375E+00 11 3.67 5.00 7.890E-03 1.654E+00 2.225E-02 2.525E-02 2.981E-02 1.071E-02 4.434E+00 13 4.40 6.00 6.649E-03 1.256E+00 1.949E-02 2.208E-02 2.598E-02 1.075E-02 4.486E+00 15 5.13 7.00 5.585E-03 9.575E-01 1.694E-02 1.914E-02 2.242E-02 1.078E-02 4.531E+00 17 5.87 8.00 4.679E-03 7.324E-01 1.462E-02 1.647E-02 1.920E-02 1.081E-02 4.571E+00 19 6.60 9.00 3.911E-03 5.625E-01 1.256E-02 1.410E-02 1.634E-02 1.084E-02 4.606E+00 21 7.33 10.00 3.262E-03 4.338E-01 1.073E-02 1.200E-02 1.383E-02 1.086E-02 4.637E+00 Waveband 11 of 40 completed in 3.5 sec. * * * * * Output for wavelength band 12 (460.0 to 470.0 nm; nominal wavelength = 465.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 465.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 460.0 nm to 470.0 nm: Ed(diffuse) = 4.834E-01 Ed(direct) = 1.190E+00 Ed(total) = 1.673E+00 Absorption Coefficients of Individual Components at 465.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0101 0.0928 0.0145 0.1174 3 0.716 1.000 0.0101 0.0928 0.0145 0.1174 5 1.432 2.000 0.0101 0.0928 0.0145 0.1174 7 2.148 3.000 0.0101 0.0928 0.0145 0.1174 9 2.864 4.000 0.0101 0.0928 0.0145 0.1174 11 3.580 5.000 0.0101 0.0928 0.0145 0.1174 13 4.297 6.000 0.0101 0.0928 0.0145 0.1174 15 5.013 7.000 0.0101 0.0928 0.0145 0.1174 17 5.729 8.000 0.0101 0.0928 0.0145 0.1174 19 6.445 9.000 0.0101 0.0928 0.0145 0.1174 21 7.161 10.000 0.0101 0.0928 0.0145 0.1174 Scattering Coefficients of Individual Components at 465.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0040 0.5947 0.0000 0.5987 3 0.716 1.000 0.0040 0.5947 0.0000 0.5987 5 1.432 2.000 0.0040 0.5947 0.0000 0.5987 7 2.148 3.000 0.0040 0.5947 0.0000 0.5987 9 2.864 4.000 0.0040 0.5947 0.0000 0.5987 11 3.580 5.000 0.0040 0.5947 0.0000 0.5987 13 4.297 6.000 0.0040 0.5947 0.0000 0.5987 15 5.013 7.000 0.0040 0.5947 0.0000 0.5987 17 5.729 8.000 0.0040 0.5947 0.0000 0.5987 19 6.445 9.000 0.0040 0.5947 0.0000 0.5987 21 7.161 10.000 0.0040 0.5947 0.0000 0.5987 Backscattering Coefficients of Individual Components at 465.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00198 0.01189 0.00000 0.01387 3 0.716 1.000 0.00198 0.01189 0.00000 0.01387 5 1.432 2.000 0.00198 0.01189 0.00000 0.01387 7 2.148 3.000 0.00198 0.01189 0.00000 0.01387 9 2.864 4.000 0.00198 0.01189 0.00000 0.01387 11 3.580 5.000 0.00198 0.01189 0.00000 0.01387 13 4.297 6.000 0.00198 0.01189 0.00000 0.01387 15 5.013 7.000 0.00198 0.01189 0.00000 0.01387 17 5.729 8.000 0.00198 0.01189 0.00000 0.01387 19 6.445 9.000 0.00198 0.01189 0.00000 0.01387 21 7.161 10.000 0.00198 0.01189 0.00000 0.01387 Summary of Inherent Optical Properties at 465.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1174 0.5987 0.7161 0.8360 0.01387 0.02317 3 0.716 1.000 0.1174 0.5987 0.7161 0.8360 0.01387 0.02317 5 1.432 2.000 0.1174 0.5987 0.7161 0.8360 0.01387 0.02317 7 2.148 3.000 0.1174 0.5987 0.7161 0.8360 0.01387 0.02317 9 2.864 4.000 0.1174 0.5987 0.7161 0.8360 0.01387 0.02317 11 3.580 5.000 0.1174 0.5987 0.7161 0.8360 0.01387 0.02317 13 4.297 6.000 0.1174 0.5987 0.7161 0.8360 0.01387 0.02317 15 5.013 7.000 0.1174 0.5987 0.7161 0.8360 0.01387 0.02317 17 5.729 8.000 0.1174 0.5987 0.7161 0.8360 0.01387 0.02317 19 6.445 9.000 0.1174 0.5987 0.7161 0.8360 0.01387 0.02317 21 7.161 10.000 0.1174 0.5987 0.7161 0.8360 0.01387 0.02317 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4422E-01 8 20.00 8.1043E-01 7 30.00 6.3652E-01 6 40.00 4.6486E-01 5 50.00 3.2187E-01 4 60.00 2.1590E-01 3 70.00 1.4334E-01 2 80.00 9.6364E-02 1 87.50 7.2285E-02 1 92.50 5.9305E-02 2 100.00 4.6153E-02 3 110.00 3.4525E-02 4 120.00 2.7004E-02 5 130.00 2.2180E-02 6 140.00 1.9085E-02 7 150.00 1.7122E-02 8 160.00 1.5925E-02 9 170.00 1.5279E-02 10 180.00 1.5052E-02 Asymptotic AOP values are MUu(inf) = 0.3811 MUd(inf) = 0.7079 MU(inf) = 0.6093 R(inf) = 0.0536 Lu(inf)/Ed(inf) = 0.010910 (1/sr) k(inf) = 0.1927 (1/m) absorp(check) = 0.1174 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 465.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.9720E-01 2.1080E+00 2.3052E+00 8.1855E-02 1.6731E+00 0.4151 0.7937 0.6903 4.8925E-02 1 0.00 0.00 1.5914E-01 1.8415E+00 2.0006E+00 6.8966E-02 1.6602E+00 0.4334 0.9016 0.7954 4.1542E-02 3 0.72 1.00 1.4623E-01 1.6461E+00 1.7923E+00 6.1892E-02 1.4312E+00 0.4233 0.8694 0.7640 4.3246E-02 5 1.43 2.00 1.3149E-01 1.4512E+00 1.5827E+00 5.4723E-02 1.2266E+00 0.4162 0.8452 0.7404 4.4613E-02 7 2.15 3.00 1.1649E-01 1.2665E+00 1.3830E+00 4.7872E-02 1.0464E+00 0.4109 0.8262 0.7220 4.5750E-02 9 2.86 4.00 1.0211E-01 1.0969E+00 1.1990E+00 4.1540E-02 8.8916E-01 0.4068 0.8106 0.7070 4.6719E-02 11 3.58 5.00 8.8754E-02 9.4406E-01 1.0328E+00 3.5812E-02 7.5304E-01 0.4035 0.7977 0.6944 4.7557E-02 13 4.30 6.00 7.6629E-02 8.0837E-01 8.8500E-01 3.0708E-02 6.3590E-01 0.4007 0.7866 0.6838 4.8291E-02 15 5.01 7.00 6.5791E-02 6.8917E-01 7.5496E-01 2.6210E-02 5.3561E-01 0.3984 0.7772 0.6747 4.8936E-02 17 5.73 8.00 5.6218E-02 5.8534E-01 6.4156E-01 2.2284E-02 4.5011E-01 0.3964 0.7690 0.6669 4.9507E-02 19 6.44 9.00 4.7842E-02 4.9553E-01 5.4337E-01 1.8880E-02 3.7751E-01 0.3946 0.7618 0.6600 5.0013E-02 21 7.16 10.00 4.0569E-02 4.1829E-01 4.5886E-01 1.5949E-02 3.1605E-01 0.3931 0.7556 0.6540 5.0463E-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 0.08003 0.10980 0.10743 0.10084 0.14520 0.14713 0.13564 1.000 1.010 1.005 0.09679 0.11974 0.11787 0.11663 0.15159 0.15317 0.14403 2.000 2.010 2.005 0.11463 0.13162 0.13021 0.12902 0.15675 0.15804 0.15054 3.000 3.010 3.005 0.12702 0.14033 0.13921 0.13817 0.16099 0.16209 0.15577 4.000 4.010 4.005 0.13635 0.14717 0.14625 0.14537 0.16459 0.16553 0.16013 5.000 5.010 5.005 0.14378 0.15277 0.15200 0.15126 0.16770 0.16852 0.16385 6.000 6.010 6.005 0.14988 0.15748 0.15682 0.15621 0.17042 0.17115 0.16707 7.000 7.010 7.005 0.15502 0.16152 0.16095 0.16045 0.17282 0.17346 0.16990 8.000 8.010 8.005 0.15941 0.16502 0.16453 0.16411 0.17495 0.17552 0.17239 9.000 9.010 9.005 0.16323 0.16809 0.16767 0.16732 0.17685 0.17735 0.17460 10.000 10.010 10.005 0.16655 0.17079 0.17042 0.17014 0.17854 0.17898 0.17656 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 5.11952E-01 9.30843E-03 6.11705E-02 7.04789E-02 5.56371E-03 0.119485 9 1 10.0 0.0 180.0 2.24454E-01 9.44277E-03 2.69018E-02 3.63446E-02 5.64401E-03 0.119855 9 4 10.0 45.0 135.0 2.50868E-01 9.40869E-03 3.09144E-02 4.03231E-02 5.62364E-03 0.123230 9 7 10.0 90.0 90.0 3.50461E-01 9.39684E-03 4.64631E-02 5.58599E-02 5.61656E-03 0.132577 8 1 20.0 0.0 180.0 1.34182E-01 9.53090E-03 8.93588E-03 1.84668E-02 5.69669E-03 0.066595 8 4 20.0 45.0 135.0 1.49732E-01 9.44806E-03 1.14505E-02 2.08986E-02 5.64717E-03 0.076473 8 7 20.0 90.0 90.0 2.10423E-01 9.45106E-03 2.27896E-02 3.22407E-02 5.64896E-03 0.108304 7 1 30.0 0.0 180.0 9.45440E-02 9.67517E-03 3.16468E-03 1.28399E-02 5.78291E-03 0.033473 7 4 30.0 45.0 135.0 1.03247E-01 9.68043E-03 3.96016E-03 1.36406E-02 5.78606E-03 0.038356 7 7 30.0 90.0 90.0 1.35723E-01 9.64201E-03 7.96136E-03 1.76034E-02 5.76310E-03 0.058659 6 1 40.0 0.0 180.0 7.76649E-02 9.79709E-03 2.26994E-03 1.20670E-02 5.85579E-03 0.029227 6 4 40.0 45.0 135.0 8.31544E-02 9.79787E-03 2.48796E-03 1.22858E-02 5.85625E-03 0.029920 6 7 40.0 90.0 90.0 1.02079E-01 9.77831E-03 3.54200E-03 1.33203E-02 5.84456E-03 0.034699 5 1 50.0 0.0 180.0 7.19351E-02 9.98865E-03 2.90713E-03 1.28958E-02 5.97028E-03 0.040413 5 4 50.0 45.0 135.0 7.59762E-02 9.94120E-03 3.06754E-03 1.30087E-02 5.94192E-03 0.040375 5 7 50.0 90.0 90.0 8.89572E-02 9.93707E-03 3.63731E-03 1.35744E-02 5.93945E-03 0.040888 4 1 60.0 0.0 180.0 7.46131E-02 9.91742E-03 5.72681E-03 1.56442E-02 5.92771E-03 0.076753 4 4 60.0 45.0 135.0 7.78395E-02 9.86023E-03 5.90446E-03 1.57647E-02 5.89353E-03 0.075854 4 7 60.0 90.0 90.0 8.80680E-02 9.97376E-03 6.61827E-03 1.65920E-02 5.96138E-03 0.075150 3 1 70.0 0.0 180.0 8.94824E-02 9.28988E-03 1.43195E-02 2.36093E-02 5.55263E-03 0.160025 3 4 70.0 45.0 135.0 9.18475E-02 9.33509E-03 1.46606E-02 2.39957E-02 5.57965E-03 0.159619 3 7 70.0 90.0 90.0 1.00168E-01 9.42922E-03 1.59482E-02 2.53774E-02 5.63591E-03 0.159215 2 1 80.0 0.0 180.0 1.33440E-01 8.02793E-03 3.40168E-02 4.20448E-02 4.79835E-03 0.254922 2 4 80.0 45.0 135.0 1.34084E-01 8.04513E-03 3.53063E-02 4.33514E-02 4.80863E-03 0.263315 2 7 80.0 90.0 90.0 1.39412E-01 8.11285E-03 3.77991E-02 4.59120E-02 4.84910E-03 0.271133 1 1 87.5 0.0 180.0 2.01165E-01 6.52232E-03 5.92729E-02 6.57953E-02 3.89843E-03 0.294649 1 4 87.5 45.0 135.0 1.98755E-01 6.21898E-03 6.32573E-02 6.94762E-02 3.71712E-03 0.318267 1 7 87.5 90.0 90.0 1.98386E-01 6.92057E-03 6.66769E-02 7.35974E-02 4.13647E-03 0.336097 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 7.048E-02 5.120E-01 1.335E-01 1.360E-01 1.455E-01 4.213E-02 1.161E+00 9.308E-03 5.564E-03 1 0.00 0.00 1.727E-02 6.625E+00 3.455E-02 3.788E-02 4.192E-02 1.040E-02 3.994E+00 3 0.72 1.00 1.501E-02 5.069E+00 3.261E-02 3.665E-02 4.293E-02 1.049E-02 4.122E+00 5 1.43 2.00 1.296E-02 3.868E+00 3.080E-02 3.486E-02 4.119E-02 1.056E-02 4.223E+00 7 2.15 3.00 1.112E-02 2.947E+00 2.828E-02 3.211E-02 3.804E-02 1.062E-02 4.306E+00 9 2.86 4.00 9.492E-03 2.247E+00 2.549E-02 2.897E-02 3.432E-02 1.068E-02 4.376E+00 11 3.58 5.00 8.072E-03 1.715E+00 2.268E-02 2.576E-02 3.047E-02 1.072E-02 4.436E+00 13 4.30 6.00 6.841E-03 1.312E+00 1.998E-02 2.266E-02 2.672E-02 1.076E-02 4.489E+00 15 5.01 7.00 5.780E-03 1.007E+00 1.747E-02 1.977E-02 2.321E-02 1.079E-02 4.534E+00 17 5.73 8.00 4.871E-03 7.750E-01 1.517E-02 1.712E-02 2.000E-02 1.082E-02 4.575E+00 19 6.44 9.00 4.095E-03 5.989E-01 1.311E-02 1.474E-02 1.713E-02 1.085E-02 4.610E+00 21 7.16 10.00 3.436E-03 4.647E-01 1.127E-02 1.263E-02 1.459E-02 1.087E-02 4.642E+00 Waveband 12 of 40 completed in 3.4 sec. * * * * * Output for wavelength band 13 (470.0 to 480.0 nm; nominal wavelength = 475.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 475.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 470.0 nm to 480.0 nm: Ed(diffuse) = 4.797E-01 Ed(direct) = 1.217E+00 Ed(total) = 1.696E+00 Absorption Coefficients of Individual Components at 475.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0114 0.0856 0.0126 0.1096 3 0.695 1.000 0.0114 0.0856 0.0126 0.1096 5 1.391 2.000 0.0114 0.0856 0.0126 0.1096 7 2.086 3.000 0.0114 0.0856 0.0126 0.1096 9 2.782 4.000 0.0114 0.0856 0.0126 0.1096 11 3.477 5.000 0.0114 0.0856 0.0126 0.1096 13 4.172 6.000 0.0114 0.0856 0.0126 0.1096 15 4.868 7.000 0.0114 0.0856 0.0126 0.1096 17 5.563 8.000 0.0114 0.0856 0.0126 0.1096 19 6.259 9.000 0.0114 0.0856 0.0126 0.1096 21 6.954 10.000 0.0114 0.0856 0.0126 0.1096 Scattering Coefficients of Individual Components at 475.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0036 0.5822 0.0000 0.5858 3 0.695 1.000 0.0036 0.5822 0.0000 0.5858 5 1.391 2.000 0.0036 0.5822 0.0000 0.5858 7 2.086 3.000 0.0036 0.5822 0.0000 0.5858 9 2.782 4.000 0.0036 0.5822 0.0000 0.5858 11 3.477 5.000 0.0036 0.5822 0.0000 0.5858 13 4.172 6.000 0.0036 0.5822 0.0000 0.5858 15 4.868 7.000 0.0036 0.5822 0.0000 0.5858 17 5.563 8.000 0.0036 0.5822 0.0000 0.5858 19 6.259 9.000 0.0036 0.5822 0.0000 0.5858 21 6.954 10.000 0.0036 0.5822 0.0000 0.5858 Backscattering Coefficients of Individual Components at 475.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00180 0.01164 0.00000 0.01345 3 0.695 1.000 0.00180 0.01164 0.00000 0.01345 5 1.391 2.000 0.00180 0.01164 0.00000 0.01345 7 2.086 3.000 0.00180 0.01164 0.00000 0.01345 9 2.782 4.000 0.00180 0.01164 0.00000 0.01345 11 3.477 5.000 0.00180 0.01164 0.00000 0.01345 13 4.172 6.000 0.00180 0.01164 0.00000 0.01345 15 4.868 7.000 0.00180 0.01164 0.00000 0.01345 17 5.563 8.000 0.00180 0.01164 0.00000 0.01345 19 6.259 9.000 0.00180 0.01164 0.00000 0.01345 21 6.954 10.000 0.00180 0.01164 0.00000 0.01345 Summary of Inherent Optical Properties at 475.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1096 0.5858 0.6954 0.8424 0.01345 0.02295 3 0.695 1.000 0.1096 0.5858 0.6954 0.8424 0.01345 0.02295 5 1.391 2.000 0.1096 0.5858 0.6954 0.8424 0.01345 0.02295 7 2.086 3.000 0.1096 0.5858 0.6954 0.8424 0.01345 0.02295 9 2.782 4.000 0.1096 0.5858 0.6954 0.8424 0.01345 0.02295 11 3.477 5.000 0.1096 0.5858 0.6954 0.8424 0.01345 0.02295 13 4.172 6.000 0.1096 0.5858 0.6954 0.8424 0.01345 0.02295 15 4.868 7.000 0.1096 0.5858 0.6954 0.8424 0.01345 0.02295 17 5.563 8.000 0.1096 0.5858 0.6954 0.8424 0.01345 0.02295 19 6.259 9.000 0.1096 0.5858 0.6954 0.8424 0.01345 0.02295 21 6.954 10.000 0.1096 0.5858 0.6954 0.8424 0.01345 0.02295 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4576E-01 8 20.00 8.1523E-01 7 30.00 6.4448E-01 6 40.00 4.7446E-01 5 50.00 3.3139E-01 4 60.00 2.2419E-01 3 70.00 1.5001E-01 2 80.00 1.0150E-01 1 87.50 7.6427E-02 1 92.50 6.2827E-02 2 100.00 4.9001E-02 3 110.00 3.6720E-02 4 120.00 2.8735E-02 5 130.00 2.3592E-02 6 140.00 2.0281E-02 7 150.00 1.8174E-02 8 160.00 1.6886E-02 9 170.00 1.6190E-02 10 180.00 1.5945E-02 Asymptotic AOP values are MUu(inf) = 0.3812 MUd(inf) = 0.7041 MU(inf) = 0.6024 R(inf) = 0.0560 Lu(inf)/Ed(inf) = 0.011365 (1/sr) k(inf) = 0.1820 (1/m) absorp(check) = 0.1096 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 475.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.0030E-01 2.1285E+00 2.3288E+00 8.3960E-02 1.6963E+00 0.4192 0.7969 0.6923 4.9497E-02 1 0.00 0.00 1.6802E-01 1.8713E+00 2.0394E+00 7.2913E-02 1.6852E+00 0.4339 0.9005 0.7906 4.3267E-02 3 0.70 1.00 1.5554E-01 1.6872E+00 1.8427E+00 6.5978E-02 1.4664E+00 0.4242 0.8691 0.7600 4.4994E-02 5 1.39 2.00 1.4115E-01 1.5018E+00 1.6429E+00 5.8879E-02 1.2690E+00 0.4172 0.8450 0.7366 4.6397E-02 7 2.09 3.00 1.2628E-01 1.3239E+00 1.4502E+00 5.2016E-02 1.0934E+00 0.4119 0.8259 0.7181 4.7571E-02 9 2.78 4.00 1.1182E-01 1.1584E+00 1.2703E+00 4.5595E-02 9.3862E-01 0.4078 0.8102 0.7030 4.8577E-02 11 3.48 5.00 9.8213E-02 1.0076E+00 1.1058E+00 3.9716E-02 8.0317E-01 0.4044 0.7971 0.6904 4.9450E-02 13 4.17 6.00 8.5700E-02 8.7203E-01 9.5773E-01 3.4414E-02 6.8534E-01 0.4016 0.7859 0.6797 5.0215E-02 15 4.87 7.00 7.4372E-02 7.5149E-01 8.2586E-01 2.9687E-02 5.8336E-01 0.3992 0.7763 0.6704 5.0890E-02 17 5.56 8.00 6.4241E-02 6.4523E-01 7.0947E-01 2.5511E-02 4.9547E-01 0.3971 0.7679 0.6624 5.1488E-02 19 6.26 9.00 5.5267E-02 5.5221E-01 6.0748E-01 2.1849E-02 4.2001E-01 0.3953 0.7606 0.6554 5.2020E-02 21 6.95 10.00 4.7380E-02 4.7127E-01 5.1865E-01 1.8657E-02 3.5542E-01 0.3938 0.7542 0.6493 5.2493E-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 0.07472 0.10236 0.10008 0.09347 0.13616 0.13809 0.12690 1.000 1.010 1.005 0.08823 0.11050 0.10862 0.10771 0.14204 0.14366 0.13466 2.000 2.010 2.005 0.10511 0.12176 0.12033 0.11943 0.14689 0.14823 0.14081 3.000 3.010 3.005 0.11699 0.13012 0.12897 0.12819 0.15091 0.15205 0.14579 4.000 4.010 4.005 0.12603 0.13673 0.13579 0.13513 0.15434 0.15533 0.14997 5.000 5.010 5.005 0.13325 0.14217 0.14138 0.14084 0.15732 0.15818 0.15355 6.000 6.010 6.005 0.13922 0.14677 0.14609 0.14566 0.15994 0.16069 0.15666 7.000 7.010 7.005 0.14425 0.15071 0.15013 0.14979 0.16225 0.16292 0.15939 8.000 8.010 8.005 0.14857 0.15415 0.15365 0.15338 0.16431 0.16491 0.16181 9.000 9.010 9.005 0.15232 0.15717 0.15673 0.15653 0.16615 0.16668 0.16396 10.000 10.010 10.005 0.15561 0.15983 0.15945 0.15930 0.16779 0.16827 0.16588 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 5.08021E-01 9.82945E-03 6.23435E-02 7.21730E-02 5.79479E-03 0.122718 9 1 10.0 0.0 180.0 2.22730E-01 9.96917E-03 2.73610E-02 3.73302E-02 5.87716E-03 0.122844 9 4 10.0 45.0 135.0 2.48944E-01 9.93423E-03 3.14541E-02 4.13883E-02 5.85656E-03 0.126350 9 7 10.0 90.0 90.0 3.47755E-01 9.92423E-03 4.73246E-02 5.72488E-02 5.85067E-03 0.136086 8 1 20.0 0.0 180.0 1.33152E-01 1.00630E-02 9.03609E-03 1.90991E-02 5.93247E-03 0.067863 8 4 20.0 45.0 135.0 1.48582E-01 9.97722E-03 1.15968E-02 2.15741E-02 5.88190E-03 0.078050 8 7 20.0 90.0 90.0 2.08807E-01 9.98450E-03 2.31589E-02 3.31434E-02 5.88620E-03 0.110911 7 1 30.0 0.0 180.0 9.38180E-02 1.02171E-02 3.16169E-03 1.33787E-02 6.02330E-03 0.033700 7 4 30.0 45.0 135.0 1.02454E-01 1.02250E-02 3.96762E-03 1.41926E-02 6.02797E-03 0.038726 7 7 30.0 90.0 90.0 1.34681E-01 1.01901E-02 8.03285E-03 1.82229E-02 6.00739E-03 0.059644 6 1 40.0 0.0 180.0 7.70685E-02 1.03495E-02 2.25360E-03 1.26031E-02 6.10139E-03 0.029241 6 4 40.0 45.0 135.0 8.25159E-02 1.03534E-02 2.47130E-03 1.28247E-02 6.10369E-03 0.029949 6 7 40.0 90.0 90.0 1.01295E-01 1.03402E-02 3.52993E-03 1.38701E-02 6.09587E-03 0.034848 5 1 50.0 0.0 180.0 7.13827E-02 1.05552E-02 2.88494E-03 1.34401E-02 6.22264E-03 0.040415 5 4 50.0 45.0 135.0 7.53927E-02 1.05086E-02 3.04398E-03 1.35526E-02 6.19518E-03 0.040375 5 7 50.0 90.0 90.0 8.82740E-02 1.05127E-02 3.61007E-03 1.41228E-02 6.19761E-03 0.040896 4 1 60.0 0.0 180.0 7.40401E-02 1.04829E-02 5.68283E-03 1.61657E-02 6.18002E-03 0.076753 4 4 60.0 45.0 135.0 7.72417E-02 1.04263E-02 5.85912E-03 1.62854E-02 6.14665E-03 0.075854 4 7 60.0 90.0 90.0 8.73917E-02 1.05556E-02 6.56744E-03 1.71230E-02 6.22286E-03 0.075150 3 1 70.0 0.0 180.0 8.87952E-02 9.82137E-03 1.42095E-02 2.40309E-02 5.79003E-03 0.160025 3 4 70.0 45.0 135.0 9.11421E-02 9.87296E-03 1.45480E-02 2.44210E-02 5.82044E-03 0.159619 3 7 70.0 90.0 90.0 9.93984E-02 9.98151E-03 1.58257E-02 2.58072E-02 5.88444E-03 0.159215 2 1 80.0 0.0 180.0 1.32415E-01 8.48792E-03 3.37556E-02 4.22435E-02 5.00392E-03 0.254922 2 4 80.0 45.0 135.0 1.33054E-01 8.50946E-03 3.50352E-02 4.35446E-02 5.01661E-03 0.263315 2 7 80.0 90.0 90.0 1.38341E-01 8.58886E-03 3.75088E-02 4.60977E-02 5.06342E-03 0.271133 1 1 87.5 0.0 180.0 1.99620E-01 6.89560E-03 5.88178E-02 6.57134E-02 4.06519E-03 0.294649 1 4 87.5 45.0 135.0 1.97229E-01 6.57745E-03 6.27715E-02 6.93489E-02 3.87763E-03 0.318267 1 7 87.5 90.0 90.0 1.96863E-01 7.32593E-03 6.61648E-02 7.34908E-02 4.31888E-03 0.336097 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 7.217E-02 5.080E-01 1.327E-01 1.352E-01 1.446E-01 4.255E-02 1.163E+00 9.829E-03 5.795E-03 1 0.00 0.00 1.824E-02 6.749E+00 3.635E-02 3.987E-02 4.413E-02 1.082E-02 3.998E+00 3 0.70 1.00 1.600E-02 5.223E+00 3.437E-02 3.862E-02 4.522E-02 1.091E-02 4.124E+00 5 1.39 2.00 1.394E-02 4.030E+00 3.275E-02 3.706E-02 4.378E-02 1.098E-02 4.224E+00 7 2.09 3.00 1.208E-02 3.106E+00 3.036E-02 3.447E-02 4.085E-02 1.105E-02 4.307E+00 9 2.78 4.00 1.042E-02 2.395E+00 2.765E-02 3.143E-02 3.725E-02 1.110E-02 4.377E+00 11 3.48 5.00 8.950E-03 1.848E+00 2.486E-02 2.826E-02 3.343E-02 1.114E-02 4.438E+00 13 4.17 6.00 7.664E-03 1.430E+00 2.215E-02 2.513E-02 2.965E-02 1.118E-02 4.490E+00 15 4.87 7.00 6.544E-03 1.109E+00 1.957E-02 2.217E-02 2.605E-02 1.122E-02 4.537E+00 17 5.56 8.00 5.573E-03 8.629E-01 1.719E-02 1.941E-02 2.271E-02 1.125E-02 4.578E+00 19 6.26 9.00 4.735E-03 6.738E-01 1.501E-02 1.690E-02 1.967E-02 1.127E-02 4.614E+00 21 6.95 10.00 4.015E-03 5.282E-01 1.306E-02 1.465E-02 1.695E-02 1.130E-02 4.647E+00 Waveband 13 of 40 completed in 3.4 sec. * * * * * Output for wavelength band 14 (480.0 to 490.0 nm; nominal wavelength = 485.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 485.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 480.0 nm to 490.0 nm: Ed(diffuse) = 4.551E-01 Ed(direct) = 1.186E+00 Ed(total) = 1.641E+00 Absorption Coefficients of Individual Components at 485.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0136 0.0794 0.0110 0.1040 3 0.677 1.000 0.0136 0.0794 0.0110 0.1040 5 1.355 2.000 0.0136 0.0794 0.0110 0.1040 7 2.032 3.000 0.0136 0.0794 0.0110 0.1040 9 2.710 4.000 0.0136 0.0794 0.0110 0.1040 11 3.387 5.000 0.0136 0.0794 0.0110 0.1040 13 4.065 6.000 0.0136 0.0794 0.0110 0.1040 15 4.742 7.000 0.0136 0.0794 0.0110 0.1040 17 5.420 8.000 0.0136 0.0794 0.0110 0.1040 19 6.097 9.000 0.0136 0.0794 0.0110 0.1040 21 6.775 10.000 0.0136 0.0794 0.0110 0.1040 Scattering Coefficients of Individual Components at 485.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0033 0.5702 0.0000 0.5735 3 0.677 1.000 0.0033 0.5702 0.0000 0.5735 5 1.355 2.000 0.0033 0.5702 0.0000 0.5735 7 2.032 3.000 0.0033 0.5702 0.0000 0.5735 9 2.710 4.000 0.0033 0.5702 0.0000 0.5735 11 3.387 5.000 0.0033 0.5702 0.0000 0.5735 13 4.065 6.000 0.0033 0.5702 0.0000 0.5735 15 4.742 7.000 0.0033 0.5702 0.0000 0.5735 17 5.420 8.000 0.0033 0.5702 0.0000 0.5735 19 6.097 9.000 0.0033 0.5702 0.0000 0.5735 21 6.775 10.000 0.0033 0.5702 0.0000 0.5735 Backscattering Coefficients of Individual Components at 485.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00165 0.01140 0.00000 0.01305 3 0.677 1.000 0.00165 0.01140 0.00000 0.01305 5 1.355 2.000 0.00165 0.01140 0.00000 0.01305 7 2.032 3.000 0.00165 0.01140 0.00000 0.01305 9 2.710 4.000 0.00165 0.01140 0.00000 0.01305 11 3.387 5.000 0.00165 0.01140 0.00000 0.01305 13 4.065 6.000 0.00165 0.01140 0.00000 0.01305 15 4.742 7.000 0.00165 0.01140 0.00000 0.01305 17 5.420 8.000 0.00165 0.01140 0.00000 0.01305 19 6.097 9.000 0.00165 0.01140 0.00000 0.01305 21 6.775 10.000 0.00165 0.01140 0.00000 0.01305 Summary of Inherent Optical Properties at 485.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1040 0.5735 0.6775 0.8465 0.01305 0.02276 3 0.677 1.000 0.1040 0.5735 0.6775 0.8465 0.01305 0.02276 5 1.355 2.000 0.1040 0.5735 0.6775 0.8465 0.01305 0.02276 7 2.032 3.000 0.1040 0.5735 0.6775 0.8465 0.01305 0.02276 9 2.710 4.000 0.1040 0.5735 0.6775 0.8465 0.01305 0.02276 11 3.387 5.000 0.1040 0.5735 0.6775 0.8465 0.01305 0.02276 13 4.065 6.000 0.1040 0.5735 0.6775 0.8465 0.01305 0.02276 15 4.742 7.000 0.1040 0.5735 0.6775 0.8465 0.01305 0.02276 17 5.420 8.000 0.1040 0.5735 0.6775 0.8465 0.01305 0.02276 19 6.097 9.000 0.1040 0.5735 0.6775 0.8465 0.01305 0.02276 21 6.775 10.000 0.1040 0.5735 0.6775 0.8465 0.01305 0.02276 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4676E-01 8 20.00 8.1837E-01 7 30.00 6.4971E-01 6 40.00 4.8081E-01 5 50.00 3.3773E-01 4 60.00 2.2976E-01 3 70.00 1.5450E-01 2 80.00 1.0497E-01 1 87.50 7.9239E-02 1 92.50 6.5220E-02 2 100.00 5.0934E-02 3 110.00 3.8206E-02 4 120.00 2.9902E-02 5 130.00 2.4538E-02 6 140.00 2.1077E-02 7 150.00 1.8870E-02 8 160.00 1.7519E-02 9 170.00 1.6788E-02 10 180.00 1.6531E-02 Asymptotic AOP values are MUu(inf) = 0.3812 MUd(inf) = 0.7016 MU(inf) = 0.5978 R(inf) = 0.0576 Lu(inf)/Ed(inf) = 0.011654 (1/sr) k(inf) = 0.1739 (1/m) absorp(check) = 0.1040 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 485.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.9349E-01 2.0518E+00 2.2452E+00 8.1740E-02 1.6410E+00 0.4225 0.7998 0.6945 4.9810E-02 1 0.00 0.00 1.6672E-01 1.8129E+00 1.9796E+00 7.2398E-02 1.6317E+00 0.4342 0.9000 0.7877 4.4370E-02 3 0.68 1.00 1.5515E-01 1.6446E+00 1.7997E+00 6.5904E-02 1.4296E+00 0.4248 0.8693 0.7577 4.6100E-02 5 1.35 2.00 1.4172E-01 1.4741E+00 1.6158E+00 5.9213E-02 1.2461E+00 0.4178 0.8454 0.7346 4.7518E-02 7 2.03 3.00 1.2771E-01 1.3091E+00 1.4368E+00 5.2689E-02 1.0817E+00 0.4126 0.8263 0.7162 4.8711E-02 9 2.71 4.00 1.1393E-01 1.1542E+00 1.2682E+00 4.6532E-02 9.3556E-01 0.4084 0.8106 0.7010 4.9737E-02 11 3.39 5.00 1.0085E-01 1.0118E+00 1.1126E+00 4.0844E-02 8.0672E-01 0.4050 0.7973 0.6884 5.0630E-02 13 4.06 6.00 8.8692E-02 8.8260E-01 9.7129E-01 3.5669E-02 6.9375E-01 0.4022 0.7860 0.6775 5.1414E-02 15 4.74 7.00 7.7587E-02 7.6672E-01 8.4431E-01 3.1014E-02 5.9518E-01 0.3997 0.7763 0.6682 5.2109E-02 17 5.42 8.00 6.7562E-02 6.6365E-01 7.3121E-01 2.6865E-02 5.0954E-01 0.3976 0.7678 0.6601 5.2725E-02 19 6.10 9.00 5.8600E-02 5.7263E-01 6.3123E-01 2.3195E-02 4.3540E-01 0.3958 0.7603 0.6530 5.3274E-02 21 6.77 10.00 5.0651E-02 4.9271E-01 5.4336E-01 1.9968E-02 3.7141E-01 0.3942 0.7538 0.6468 5.3763E-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 0.07024 0.09695 0.09470 0.08811 0.12950 0.13142 0.12051 1.000 1.010 1.005 0.08209 0.10383 0.10195 0.10124 0.13500 0.13663 0.12778 2.000 2.010 2.005 0.09817 0.11456 0.11313 0.11240 0.13959 0.14095 0.13363 3.000 3.010 3.005 0.10963 0.12261 0.12146 0.12083 0.14343 0.14459 0.13840 4.000 4.010 4.005 0.11840 0.12902 0.12806 0.12755 0.14672 0.14772 0.14241 5.000 5.010 5.005 0.12544 0.13431 0.13351 0.13310 0.14959 0.15047 0.14587 6.000 6.010 6.005 0.13123 0.13876 0.13807 0.13778 0.15211 0.15289 0.14888 7.000 7.010 7.005 0.13621 0.14266 0.14207 0.14183 0.15435 0.15504 0.15154 8.000 8.010 8.005 0.14045 0.14603 0.14551 0.14534 0.15635 0.15697 0.15389 9.000 9.010 9.005 0.14414 0.14899 0.14854 0.14843 0.15814 0.15869 0.15598 10.000 10.010 10.005 0.14738 0.15161 0.15122 0.15115 0.15974 0.16023 0.15785 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 4.81987E-01 9.74847E-03 6.05943E-02 7.03428E-02 5.94040E-03 0.125718 9 1 10.0 0.0 180.0 2.11316E-01 9.88544E-03 2.65449E-02 3.64303E-02 6.02386E-03 0.125617 9 4 10.0 45.0 135.0 2.36188E-01 9.85156E-03 3.05261E-02 4.03776E-02 6.00321E-03 0.129245 9 7 10.0 90.0 90.0 3.29921E-01 9.84353E-03 4.59715E-02 5.58151E-02 5.99832E-03 0.139341 8 1 20.0 0.0 180.0 1.26328E-01 9.97904E-03 8.72160E-03 1.87006E-02 6.08090E-03 0.069039 8 4 20.0 45.0 135.0 1.40968E-01 9.89527E-03 1.12087E-02 2.11039E-02 6.02985E-03 0.079512 8 7 20.0 90.0 90.0 1.98106E-01 9.90558E-03 2.24511E-02 3.23567E-02 6.03613E-03 0.113328 7 1 30.0 0.0 180.0 8.90102E-02 1.01332E-02 3.01842E-03 1.31516E-02 6.17482E-03 0.033911 7 4 30.0 45.0 135.0 9.72039E-02 1.01428E-02 3.79762E-03 1.39404E-02 6.18068E-03 0.039069 7 7 30.0 90.0 90.0 1.27779E-01 1.01125E-02 7.73793E-03 1.78504E-02 6.16219E-03 0.060557 6 1 40.0 0.0 180.0 7.31191E-02 1.02674E-02 2.13907E-03 1.24064E-02 6.25660E-03 0.029255 6 4 40.0 45.0 135.0 7.82873E-02 1.02736E-02 2.34682E-03 1.26204E-02 6.26038E-03 0.029977 6 7 40.0 90.0 90.0 9.61042E-02 1.02661E-02 3.36236E-03 1.36284E-02 6.25579E-03 0.034987 5 1 50.0 0.0 180.0 6.77247E-02 1.04740E-02 2.73722E-03 1.32112E-02 6.38252E-03 0.040417 5 4 50.0 45.0 135.0 7.15292E-02 1.04305E-02 2.88799E-03 1.33185E-02 6.35601E-03 0.040375 5 7 50.0 90.0 90.0 8.37504E-02 1.04411E-02 3.42568E-03 1.38668E-02 6.36248E-03 0.040903 4 1 60.0 0.0 180.0 7.02459E-02 1.04047E-02 5.39161E-03 1.57963E-02 6.34025E-03 0.076753 4 4 60.0 45.0 135.0 7.32834E-02 1.03515E-02 5.55887E-03 1.59103E-02 6.30783E-03 0.075854 4 7 60.0 90.0 90.0 8.29133E-02 1.04870E-02 6.23089E-03 1.67179E-02 6.39042E-03 0.075150 3 1 70.0 0.0 180.0 8.42449E-02 9.74968E-03 1.34813E-02 2.32310E-02 5.94113E-03 0.160025 3 4 70.0 45.0 135.0 8.64715E-02 9.80386E-03 1.38025E-02 2.36064E-02 5.97415E-03 0.159619 3 7 70.0 90.0 90.0 9.43047E-02 9.91882E-03 1.50147E-02 2.49335E-02 6.04420E-03 0.159215 2 1 80.0 0.0 180.0 1.25630E-01 8.42676E-03 3.20258E-02 4.04526E-02 5.13499E-03 0.254922 2 4 80.0 45.0 135.0 1.26236E-01 8.45079E-03 3.32398E-02 4.16906E-02 5.14963E-03 0.263315 2 7 80.0 90.0 90.0 1.31252E-01 8.53595E-03 3.55867E-02 4.41226E-02 5.20152E-03 0.271133 1 1 87.5 0.0 180.0 1.89390E-01 6.84586E-03 5.58036E-02 6.26495E-02 4.17164E-03 0.294649 1 4 87.5 45.0 135.0 1.87122E-01 6.53206E-03 5.95547E-02 6.60868E-02 3.98042E-03 0.318267 1 7 87.5 90.0 90.0 1.86774E-01 7.28072E-03 6.27742E-02 7.00549E-02 4.43663E-03 0.336097 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 7.034E-02 4.820E-01 1.260E-01 1.284E-01 1.373E-01 4.286E-02 1.162E+00 9.748E-03 5.940E-03 1 0.00 0.00 1.808E-02 6.557E+00 3.599E-02 3.949E-02 4.373E-02 1.108E-02 4.003E+00 3 0.68 1.00 1.597E-02 5.120E+00 3.407E-02 3.828E-02 4.481E-02 1.117E-02 4.126E+00 5 1.35 2.00 1.401E-02 3.987E+00 3.265E-02 3.696E-02 4.366E-02 1.125E-02 4.225E+00 7 2.03 3.00 1.223E-02 3.101E+00 3.048E-02 3.462E-02 4.104E-02 1.131E-02 4.307E+00 9 2.71 4.00 1.063E-02 2.412E+00 2.797E-02 3.181E-02 3.772E-02 1.136E-02 4.378E+00 11 3.39 5.00 9.202E-03 1.878E+00 2.535E-02 2.883E-02 3.414E-02 1.141E-02 4.438E+00 13 4.06 6.00 7.941E-03 1.465E+00 2.276E-02 2.585E-02 3.053E-02 1.145E-02 4.492E+00 15 4.74 7.00 6.834E-03 1.146E+00 2.028E-02 2.299E-02 2.705E-02 1.148E-02 4.538E+00 17 5.42 8.00 5.866E-03 8.990E-01 1.796E-02 2.030E-02 2.378E-02 1.151E-02 4.580E+00 19 6.10 9.00 5.024E-03 7.078E-01 1.582E-02 1.783E-02 2.078E-02 1.154E-02 4.617E+00 21 6.77 10.00 4.294E-03 5.592E-01 1.387E-02 1.558E-02 1.806E-02 1.156E-02 4.650E+00 Waveband 14 of 40 completed in 3.3 sec. * * * * * Output for wavelength band 15 (490.0 to 500.0 nm; nominal wavelength = 495.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 495.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 490.0 nm to 500.0 nm: Ed(diffuse) = 4.533E-01 Ed(direct) = 1.211E+00 Ed(total) = 1.665E+00 Absorption Coefficients of Individual Components at 495.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0173 0.0732 0.0095 0.1001 3 0.662 1.000 0.0173 0.0732 0.0095 0.1001 5 1.323 2.000 0.0173 0.0732 0.0095 0.1001 7 1.985 3.000 0.0173 0.0732 0.0095 0.1001 9 2.647 4.000 0.0173 0.0732 0.0095 0.1001 11 3.309 5.000 0.0173 0.0732 0.0095 0.1001 13 3.970 6.000 0.0173 0.0732 0.0095 0.1001 15 4.632 7.000 0.0173 0.0732 0.0095 0.1001 17 5.294 8.000 0.0173 0.0732 0.0095 0.1001 19 5.956 9.000 0.0173 0.0732 0.0095 0.1001 21 6.617 10.000 0.0173 0.0732 0.0095 0.1001 Scattering Coefficients of Individual Components at 495.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0030 0.5587 0.0000 0.5617 3 0.662 1.000 0.0030 0.5587 0.0000 0.5617 5 1.323 2.000 0.0030 0.5587 0.0000 0.5617 7 1.985 3.000 0.0030 0.5587 0.0000 0.5617 9 2.647 4.000 0.0030 0.5587 0.0000 0.5617 11 3.309 5.000 0.0030 0.5587 0.0000 0.5617 13 3.970 6.000 0.0030 0.5587 0.0000 0.5617 15 4.632 7.000 0.0030 0.5587 0.0000 0.5617 17 5.294 8.000 0.0030 0.5587 0.0000 0.5617 19 5.956 9.000 0.0030 0.5587 0.0000 0.5617 21 6.617 10.000 0.0030 0.5587 0.0000 0.5617 Backscattering Coefficients of Individual Components at 495.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00151 0.01117 0.00000 0.01268 3 0.662 1.000 0.00151 0.01117 0.00000 0.01268 5 1.323 2.000 0.00151 0.01117 0.00000 0.01268 7 1.985 3.000 0.00151 0.01117 0.00000 0.01268 9 2.647 4.000 0.00151 0.01117 0.00000 0.01268 11 3.309 5.000 0.00151 0.01117 0.00000 0.01268 13 3.970 6.000 0.00151 0.01117 0.00000 0.01268 15 4.632 7.000 0.00151 0.01117 0.00000 0.01268 17 5.294 8.000 0.00151 0.01117 0.00000 0.01268 19 5.956 9.000 0.00151 0.01117 0.00000 0.01268 21 6.617 10.000 0.00151 0.01117 0.00000 0.01268 Summary of Inherent Optical Properties at 495.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1001 0.5617 0.6617 0.8488 0.01268 0.02258 3 0.662 1.000 0.1001 0.5617 0.6617 0.8488 0.01268 0.02258 5 1.323 2.000 0.1001 0.5617 0.6617 0.8488 0.01268 0.02258 7 1.985 3.000 0.1001 0.5617 0.6617 0.8488 0.01268 0.02258 9 2.647 4.000 0.1001 0.5617 0.6617 0.8488 0.01268 0.02258 11 3.309 5.000 0.1001 0.5617 0.6617 0.8488 0.01268 0.02258 13 3.970 6.000 0.1001 0.5617 0.6617 0.8488 0.01268 0.02258 15 4.632 7.000 0.1001 0.5617 0.6617 0.8488 0.01268 0.02258 17 5.294 8.000 0.1001 0.5617 0.6617 0.8488 0.01268 0.02258 19 5.956 9.000 0.1001 0.5617 0.6617 0.8488 0.01268 0.02258 21 6.617 10.000 0.1001 0.5617 0.6617 0.8488 0.01268 0.02258 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4731E-01 8 20.00 8.2010E-01 7 30.00 6.5260E-01 6 40.00 4.8433E-01 5 50.00 3.4125E-01 4 60.00 2.3285E-01 3 70.00 1.5700E-01 2 80.00 1.0690E-01 1 87.50 8.0786E-02 1 92.50 6.6529E-02 2 100.00 5.1983E-02 3 110.00 3.9002E-02 4 120.00 3.0517E-02 5 130.00 2.5028E-02 6 140.00 2.1482E-02 7 150.00 1.9218E-02 8 160.00 1.7831E-02 9 170.00 1.7080E-02 10 180.00 1.6816E-02 Asymptotic AOP values are MUu(inf) = 0.3811 MUd(inf) = 0.7002 MU(inf) = 0.5955 R(inf) = 0.0584 Lu(inf)/Ed(inf) = 0.011784 (1/sr) k(inf) = 0.1680 (1/m) absorp(check) = 0.1001 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 495.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.9516E-01 2.0742E+00 2.2693E+00 8.2962E-02 1.6646E+00 0.4251 0.8025 0.6969 4.9840E-02 1 0.00 0.00 1.7090E-01 1.8395E+00 2.0104E+00 7.4222E-02 1.6558E+00 0.4343 0.9001 0.7867 4.4825E-02 3 0.66 1.00 1.5964E-01 1.6758E+00 1.8355E+00 6.7854E-02 1.4579E+00 0.4250 0.8699 0.7573 4.6543E-02 5 1.32 2.00 1.4651E-01 1.5095E+00 1.6560E+00 6.1264E-02 1.2774E+00 0.4182 0.8462 0.7344 4.7960E-02 7 1.99 3.00 1.3271E-01 1.3475E+00 1.4802E+00 5.4799E-02 1.1147E+00 0.4129 0.8272 0.7161 4.9158E-02 9 2.65 4.00 1.1904E-01 1.1946E+00 1.3137E+00 4.8660E-02 9.6949E-01 0.4088 0.8115 0.7010 5.0191E-02 11 3.31 5.00 1.0596E-01 1.0531E+00 1.1591E+00 4.2953E-02 8.4067E-01 0.4054 0.7983 0.6882 5.1094E-02 13 3.97 6.00 9.3735E-02 9.2394E-01 1.0177E+00 3.7727E-02 7.2707E-01 0.4025 0.7869 0.6774 5.1889E-02 15 4.63 7.00 8.2482E-02 8.0733E-01 8.8981E-01 3.2996E-02 6.2736E-01 0.4000 0.7771 0.6680 5.2594E-02 17 5.29 8.00 7.2254E-02 7.0294E-01 7.7520E-01 2.8751E-02 5.4022E-01 0.3979 0.7685 0.6598 5.3222E-02 19 5.96 9.00 6.3049E-02 6.1016E-01 6.7320E-01 2.4972E-02 4.6432E-01 0.3961 0.7610 0.6526 5.3782E-02 21 6.62 10.00 5.4829E-02 5.2817E-01 5.8299E-01 2.1628E-02 3.9843E-01 0.3945 0.7544 0.6463 5.4283E-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 0.06711 0.09310 0.09090 0.08427 0.12472 0.12662 0.11588 1.000 1.010 1.005 0.07771 0.09917 0.09730 0.09660 0.12992 0.13155 0.12278 2.000 2.010 2.005 0.09318 0.10947 0.10803 0.10732 0.13432 0.13568 0.12838 3.000 3.010 3.005 0.10429 0.11725 0.11609 0.11547 0.13800 0.13917 0.13297 4.000 4.010 4.005 0.11284 0.12347 0.12251 0.12200 0.14117 0.14218 0.13686 5.000 5.010 5.005 0.11972 0.12863 0.12781 0.12741 0.14394 0.14483 0.14021 6.000 6.010 6.005 0.12543 0.13301 0.13231 0.13199 0.14639 0.14718 0.14314 7.000 7.010 7.005 0.13027 0.13678 0.13618 0.13594 0.14857 0.14927 0.14572 8.000 8.010 8.005 0.13445 0.14009 0.13956 0.13939 0.15052 0.15114 0.14802 9.000 9.010 9.005 0.13809 0.14300 0.14254 0.14243 0.15226 0.15282 0.15007 10.000 10.010 10.005 0.14127 0.14558 0.14518 0.14511 0.15383 0.15433 0.15190 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 4.80000E-01 9.98096E-03 6.17244E-02 7.17053E-02 5.99617E-03 0.128592 9 1 10.0 0.0 180.0 2.10445E-01 1.01201E-02 2.69947E-02 3.71148E-02 6.07975E-03 0.128274 9 4 10.0 45.0 135.0 2.35217E-01 1.00859E-02 3.10529E-02 4.11389E-02 6.05924E-03 0.132018 9 7 10.0 90.0 90.0 3.28549E-01 1.00791E-02 4.68053E-02 5.68844E-02 6.05510E-03 0.142461 8 1 20.0 0.0 180.0 1.25808E-01 1.02164E-02 8.82746E-03 1.90439E-02 6.13762E-03 0.070166 8 4 20.0 45.0 135.0 1.40387E-01 1.01315E-02 1.13592E-02 2.14907E-02 6.08663E-03 0.080913 8 7 20.0 90.0 90.0 1.97290E-01 1.01443E-02 2.28157E-02 3.29600E-02 6.09431E-03 0.115646 7 1 30.0 0.0 180.0 8.86433E-02 1.03753E-02 3.02388E-03 1.33991E-02 6.23306E-03 0.034113 7 4 30.0 45.0 135.0 9.68033E-02 1.03864E-02 3.81377E-03 1.42002E-02 6.23973E-03 0.039397 7 7 30.0 90.0 90.0 1.27252E-01 1.03584E-02 7.81743E-03 1.81759E-02 6.22295E-03 0.061433 6 1 40.0 0.0 180.0 7.28177E-02 1.05149E-02 2.13116E-03 1.26461E-02 6.31696E-03 0.029267 6 4 40.0 45.0 135.0 7.79646E-02 1.05230E-02 2.33920E-03 1.28622E-02 6.32180E-03 0.030003 6 7 40.0 90.0 90.0 9.57081E-02 1.05195E-02 3.36121E-03 1.38807E-02 6.31970E-03 0.035119 5 1 50.0 0.0 180.0 6.74455E-02 1.07287E-02 2.72605E-03 1.34548E-02 6.44540E-03 0.040419 5 4 50.0 45.0 135.0 7.12343E-02 1.06862E-02 2.87609E-03 1.35623E-02 6.41985E-03 0.040375 5 7 50.0 90.0 90.0 8.34052E-02 1.07021E-02 3.41214E-03 1.41143E-02 6.42942E-03 0.040910 4 1 60.0 0.0 180.0 6.99563E-02 1.06597E-02 5.36939E-03 1.60291E-02 6.40396E-03 0.076753 4 4 60.0 45.0 135.0 7.29814E-02 1.06075E-02 5.53595E-03 1.61435E-02 6.37258E-03 0.075854 4 7 60.0 90.0 90.0 8.25715E-02 1.07521E-02 6.20521E-03 1.69573E-02 6.45945E-03 0.075150 3 1 70.0 0.0 180.0 8.38976E-02 9.99038E-03 1.34258E-02 2.34161E-02 6.00183E-03 0.160025 3 4 70.0 45.0 135.0 8.61151E-02 1.00482E-02 1.37456E-02 2.37939E-02 6.03659E-03 0.159619 3 7 70.0 90.0 90.0 9.39159E-02 1.01720E-02 1.49528E-02 2.51248E-02 6.11094E-03 0.159215 2 1 80.0 0.0 180.0 1.25112E-01 8.63584E-03 3.18938E-02 4.05296E-02 5.18808E-03 0.254922 2 4 80.0 45.0 135.0 1.25715E-01 8.66264E-03 3.31028E-02 4.17654E-02 5.20417E-03 0.263315 2 7 80.0 90.0 90.0 1.30711E-01 8.75532E-03 3.54400E-02 4.41953E-02 5.25985E-03 0.271133 1 1 87.5 0.0 180.0 1.88610E-01 7.01613E-03 5.55736E-02 6.25897E-02 4.21502E-03 0.294649 1 4 87.5 45.0 135.0 1.86351E-01 6.69626E-03 5.93093E-02 6.60055E-02 4.02285E-03 0.318267 1 7 87.5 90.0 90.0 1.86004E-01 7.46851E-03 6.25154E-02 6.99839E-02 4.48679E-03 0.336097 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 7.171E-02 4.800E-01 1.256E-01 1.280E-01 1.369E-01 4.308E-02 1.157E+00 9.981E-03 5.996E-03 1 0.00 0.00 1.852E-02 6.677E+00 3.684E-02 4.045E-02 4.483E-02 1.118E-02 4.009E+00 3 0.66 1.00 1.643E-02 5.251E+00 3.491E-02 3.925E-02 4.596E-02 1.127E-02 4.129E+00 5 1.32 2.00 1.449E-02 4.118E+00 3.359E-02 3.805E-02 4.498E-02 1.135E-02 4.227E+00 7 1.99 3.00 1.272E-02 3.225E+00 3.152E-02 3.583E-02 4.250E-02 1.141E-02 4.309E+00 9 2.65 4.00 1.111E-02 2.526E+00 2.908E-02 3.311E-02 3.929E-02 1.146E-02 4.379E+00 11 3.31 5.00 9.674E-03 1.981E+00 2.651E-02 3.018E-02 3.577E-02 1.151E-02 4.440E+00 13 3.97 6.00 8.396E-03 1.556E+00 2.394E-02 2.722E-02 3.219E-02 1.155E-02 4.494E+00 15 4.63 7.00 7.267E-03 1.225E+00 2.146E-02 2.435E-02 2.870E-02 1.158E-02 4.541E+00 17 5.29 8.00 6.274E-03 9.672E-01 1.911E-02 2.164E-02 2.539E-02 1.161E-02 4.583E+00 19 5.96 9.00 5.405E-03 7.661E-01 1.694E-02 1.912E-02 2.233E-02 1.164E-02 4.620E+00 21 6.62 10.00 4.648E-03 6.090E-01 1.494E-02 1.681E-02 1.953E-02 1.167E-02 4.653E+00 Waveband 15 of 40 completed in 3.2 sec. * * * * * Output for wavelength band 16 (500.0 to 510.0 nm; nominal wavelength = 505.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 505.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 500.0 nm to 510.0 nm: Ed(diffuse) = 4.373E-01 Ed(direct) = 1.196E+00 Ed(total) = 1.634E+00 Absorption Coefficients of Individual Components at 505.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0256 0.0660 0.0083 0.0999 3 0.650 1.000 0.0256 0.0660 0.0083 0.0999 5 1.301 2.000 0.0256 0.0660 0.0083 0.0999 7 1.951 3.000 0.0256 0.0660 0.0083 0.0999 9 2.601 4.000 0.0256 0.0660 0.0083 0.0999 11 3.251 5.000 0.0256 0.0660 0.0083 0.0999 13 3.902 6.000 0.0256 0.0660 0.0083 0.0999 15 4.552 7.000 0.0256 0.0660 0.0083 0.0999 17 5.202 8.000 0.0256 0.0660 0.0083 0.0999 19 5.852 9.000 0.0256 0.0660 0.0083 0.0999 21 6.503 10.000 0.0256 0.0660 0.0083 0.0999 Scattering Coefficients of Individual Components at 505.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0028 0.5476 0.0000 0.5504 3 0.650 1.000 0.0028 0.5476 0.0000 0.5504 5 1.301 2.000 0.0028 0.5476 0.0000 0.5504 7 1.951 3.000 0.0028 0.5476 0.0000 0.5504 9 2.601 4.000 0.0028 0.5476 0.0000 0.5504 11 3.251 5.000 0.0028 0.5476 0.0000 0.5504 13 3.902 6.000 0.0028 0.5476 0.0000 0.5504 15 4.552 7.000 0.0028 0.5476 0.0000 0.5504 17 5.202 8.000 0.0028 0.5476 0.0000 0.5504 19 5.852 9.000 0.0028 0.5476 0.0000 0.5504 21 6.503 10.000 0.0028 0.5476 0.0000 0.5504 Backscattering Coefficients of Individual Components at 505.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00138 0.01095 0.00000 0.01234 3 0.650 1.000 0.00138 0.01095 0.00000 0.01234 5 1.301 2.000 0.00138 0.01095 0.00000 0.01234 7 1.951 3.000 0.00138 0.01095 0.00000 0.01234 9 2.601 4.000 0.00138 0.01095 0.00000 0.01234 11 3.251 5.000 0.00138 0.01095 0.00000 0.01234 13 3.902 6.000 0.00138 0.01095 0.00000 0.01234 15 4.552 7.000 0.00138 0.01095 0.00000 0.01234 17 5.202 8.000 0.00138 0.01095 0.00000 0.01234 19 5.852 9.000 0.00138 0.01095 0.00000 0.01234 21 6.503 10.000 0.00138 0.01095 0.00000 0.01234 Summary of Inherent Optical Properties at 505.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0999 0.5504 0.6503 0.8464 0.01234 0.02241 3 0.650 1.000 0.0999 0.5504 0.6503 0.8464 0.01234 0.02241 5 1.301 2.000 0.0999 0.5504 0.6503 0.8464 0.01234 0.02241 7 1.951 3.000 0.0999 0.5504 0.6503 0.8464 0.01234 0.02241 9 2.601 4.000 0.0999 0.5504 0.6503 0.8464 0.01234 0.02241 11 3.251 5.000 0.0999 0.5504 0.6503 0.8464 0.01234 0.02241 13 3.902 6.000 0.0999 0.5504 0.6503 0.8464 0.01234 0.02241 15 4.552 7.000 0.0999 0.5504 0.6503 0.8464 0.01234 0.02241 17 5.202 8.000 0.0999 0.5504 0.6503 0.8464 0.01234 0.02241 19 5.852 9.000 0.0999 0.5504 0.6503 0.8464 0.01234 0.02241 21 6.503 10.000 0.0999 0.5504 0.6503 0.8464 0.01234 0.02241 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4673E-01 8 20.00 8.1827E-01 7 30.00 6.4951E-01 6 40.00 4.8052E-01 5 50.00 3.3737E-01 4 60.00 2.2936E-01 3 70.00 1.5410E-01 2 80.00 1.0458E-01 1 87.50 7.8862E-02 1 92.50 6.4854E-02 2 100.00 5.0585E-02 3 110.00 3.7878E-02 4 120.00 2.9592E-02 5 130.00 2.4242E-02 6 140.00 2.0792E-02 7 150.00 1.8592E-02 8 160.00 1.7245E-02 9 170.00 1.6517E-02 10 180.00 1.6260E-02 Asymptotic AOP values are MUu(inf) = 0.3804 MUd(inf) = 0.7019 MU(inf) = 0.5990 R(inf) = 0.0570 Lu(inf)/Ed(inf) = 0.011471 (1/sr) k(inf) = 0.1668 (1/m) absorp(check) = 0.0999 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 505.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.8834E-01 2.0295E+00 2.2178E+00 8.0319E-02 1.6338E+00 0.4264 0.8050 0.7004 4.9162E-02 1 0.00 0.00 1.6363E-01 1.8014E+00 1.9651E+00 7.0977E-02 1.6244E+00 0.4338 0.9017 0.7905 4.3694E-02 3 0.65 1.00 1.5291E-01 1.6416E+00 1.7945E+00 6.4919E-02 1.4314E+00 0.4246 0.8720 0.7615 4.5353E-02 5 1.30 2.00 1.4042E-01 1.4794E+00 1.6198E+00 5.8655E-02 1.2554E+00 0.4177 0.8485 0.7388 4.6723E-02 7 1.95 3.00 1.2730E-01 1.3217E+00 1.4490E+00 5.2511E-02 1.0967E+00 0.4125 0.8297 0.7206 4.7883E-02 9 2.60 4.00 1.1430E-01 1.1728E+00 1.2871E+00 4.6676E-02 9.5482E-01 0.4084 0.8142 0.7056 4.8885E-02 11 3.25 5.00 1.0186E-01 1.0349E+00 1.1367E+00 4.1247E-02 8.2891E-01 0.4050 0.8010 0.6929 4.9761E-02 13 3.90 6.00 9.0208E-02 9.0893E-01 9.9914E-01 3.6272E-02 7.1777E-01 0.4021 0.7897 0.6821 5.0534E-02 15 4.55 7.00 7.9479E-02 7.9515E-01 8.7463E-01 3.1763E-02 6.2013E-01 0.3996 0.7799 0.6727 5.1220E-02 17 5.20 8.00 6.9717E-02 6.9319E-01 7.6291E-01 2.7714E-02 5.3468E-01 0.3975 0.7713 0.6645 5.1832E-02 19 5.85 9.00 6.0917E-02 6.0247E-01 6.6338E-01 2.4103E-02 4.6017E-01 0.3957 0.7638 0.6573 5.2379E-02 21 6.50 10.00 5.3049E-02 5.2220E-01 5.7525E-01 2.0904E-02 3.9539E-01 0.3941 0.7572 0.6510 5.2869E-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 0.06640 0.09255 0.09037 0.08381 0.12396 0.12579 0.11524 1.000 1.010 1.005 0.07721 0.09877 0.09694 0.09599 0.12904 0.13061 0.12198 2.000 2.010 2.005 0.09244 0.10883 0.10741 0.10652 0.13333 0.13464 0.12746 3.000 3.010 3.005 0.10337 0.11643 0.11528 0.11452 0.13693 0.13805 0.13196 4.000 4.010 4.005 0.11179 0.12252 0.12156 0.12094 0.14003 0.14101 0.13576 5.000 5.010 5.005 0.11857 0.12757 0.12676 0.12625 0.14275 0.14361 0.13904 6.000 6.010 6.005 0.12420 0.13186 0.13117 0.13077 0.14515 0.14592 0.14192 7.000 7.010 7.005 0.12898 0.13558 0.13498 0.13466 0.14729 0.14797 0.14446 8.000 8.010 8.005 0.13301 0.13884 0.13830 0.13806 0.14921 0.14982 0.14672 9.000 9.010 9.005 0.13669 0.14169 0.14123 0.14106 0.15093 0.15148 0.14874 10.000 10.010 10.005 0.13986 0.14424 0.14384 0.14371 0.15248 0.15297 0.15055 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 4.63137E-01 9.53094E-03 6.08173E-02 7.03482E-02 5.83378E-03 0.131316 9 1 10.0 0.0 180.0 2.03051E-01 9.66380E-03 2.65576E-02 3.62214E-02 5.91510E-03 0.130792 9 4 10.0 45.0 135.0 2.26955E-01 9.63116E-03 3.05587E-02 4.01898E-02 5.89512E-03 0.134646 9 7 10.0 90.0 90.0 3.16995E-01 9.62453E-03 4.60964E-02 5.57210E-02 5.89106E-03 0.145417 8 1 20.0 0.0 180.0 1.21388E-01 9.75578E-03 8.64697E-03 1.84027E-02 5.97140E-03 0.071234 8 4 20.0 45.0 135.0 1.35455E-01 9.67469E-03 1.11400E-02 2.08147E-02 5.92176E-03 0.082241 8 7 20.0 90.0 90.0 1.90358E-01 9.68688E-03 2.24320E-02 3.21189E-02 5.92923E-03 0.117841 7 1 30.0 0.0 180.0 8.55291E-02 9.90752E-03 2.93401E-03 1.28415E-02 6.06428E-03 0.034304 7 4 30.0 45.0 135.0 9.34023E-02 9.91810E-03 3.70886E-03 1.36270E-02 6.07076E-03 0.039708 7 7 30.0 90.0 90.0 1.22782E-01 9.89152E-03 7.64463E-03 1.75362E-02 6.05448E-03 0.062262 6 1 40.0 0.0 180.0 7.02594E-02 1.00411E-02 2.05712E-03 1.20982E-02 6.14604E-03 0.029279 6 4 40.0 45.0 135.0 7.52255E-02 1.00488E-02 2.25891E-03 1.23078E-02 6.15078E-03 0.030028 6 7 40.0 90.0 90.0 9.23456E-02 1.00459E-02 3.25474E-03 1.33007E-02 6.14901E-03 0.035245 5 1 50.0 0.0 180.0 6.50760E-02 1.02459E-02 2.63039E-03 1.28762E-02 6.27137E-03 0.040420 5 4 50.0 45.0 135.0 6.87317E-02 1.02054E-02 2.77504E-03 1.29805E-02 6.24663E-03 0.040375 5 7 50.0 90.0 90.0 8.04749E-02 1.02216E-02 3.29280E-03 1.35144E-02 6.25652E-03 0.040917 4 1 60.0 0.0 180.0 6.74986E-02 1.01808E-02 5.18074E-03 1.53615E-02 6.23154E-03 0.076753 4 4 60.0 45.0 135.0 7.04173E-02 1.01313E-02 5.34146E-03 1.54727E-02 6.20124E-03 0.075854 4 7 60.0 90.0 90.0 7.96705E-02 1.02709E-02 5.98720E-03 1.62581E-02 6.28671E-03 0.075150 3 1 70.0 0.0 180.0 8.09501E-02 9.54291E-03 1.29541E-02 2.24970E-02 5.84110E-03 0.160025 3 4 70.0 45.0 135.0 8.30897E-02 9.59879E-03 1.32627E-02 2.28615E-02 5.87531E-03 0.159619 3 7 70.0 90.0 90.0 9.06164E-02 9.71921E-03 1.44275E-02 2.41467E-02 5.94902E-03 0.159215 2 1 80.0 0.0 180.0 1.20716E-01 8.25042E-03 3.07733E-02 3.90237E-02 5.04998E-03 0.254922 2 4 80.0 45.0 135.0 1.21299E-01 8.27677E-03 3.19398E-02 4.02166E-02 5.06611E-03 0.263315 2 7 80.0 90.0 90.0 1.26119E-01 8.36779E-03 3.41949E-02 4.25627E-02 5.12183E-03 0.271133 1 1 87.5 0.0 180.0 1.81983E-01 6.70442E-03 5.36212E-02 6.03256E-02 4.10370E-03 0.294649 1 4 87.5 45.0 135.0 1.79804E-01 6.39950E-03 5.72256E-02 6.36251E-02 3.91706E-03 0.318267 1 7 87.5 90.0 90.0 1.79470E-01 7.14023E-03 6.03191E-02 6.74593E-02 4.37045E-03 0.336097 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 7.035E-02 4.631E-01 1.212E-01 1.235E-01 1.321E-01 4.306E-02 1.142E+00 9.531E-03 5.834E-03 1 0.00 0.00 1.768E-02 6.576E+00 3.529E-02 3.879E-02 4.306E-02 1.088E-02 4.014E+00 3 0.65 1.00 1.570E-02 5.188E+00 3.348E-02 3.770E-02 4.422E-02 1.097E-02 4.134E+00 5 1.30 2.00 1.386E-02 4.081E+00 3.223E-02 3.656E-02 4.329E-02 1.104E-02 4.232E+00 7 1.95 3.00 1.217E-02 3.207E+00 3.027E-02 3.445E-02 4.094E-02 1.110E-02 4.313E+00 9 2.60 4.00 1.065E-02 2.520E+00 2.795E-02 3.186E-02 3.789E-02 1.115E-02 4.383E+00 11 3.25 5.00 9.281E-03 1.981E+00 2.550E-02 2.908E-02 3.454E-02 1.120E-02 4.444E+00 13 3.90 6.00 8.065E-03 1.561E+00 2.306E-02 2.626E-02 3.112E-02 1.124E-02 4.497E+00 15 4.55 7.00 6.989E-03 1.232E+00 2.069E-02 2.352E-02 2.778E-02 1.127E-02 4.545E+00 17 5.20 8.00 6.042E-03 9.751E-01 1.845E-02 2.093E-02 2.462E-02 1.130E-02 4.587E+00 19 5.85 9.00 5.212E-03 7.742E-01 1.637E-02 1.852E-02 2.168E-02 1.133E-02 4.624E+00 21 6.50 10.00 4.488E-03 6.167E-01 1.446E-02 1.630E-02 1.899E-02 1.135E-02 4.658E+00 Waveband 16 of 40 completed in 3.1 sec. * * * * * Output for wavelength band 17 (510.0 to 520.0 nm; nominal wavelength = 515.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 515.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 510.0 nm to 520.0 nm: Ed(diffuse) = 4.143E-01 Ed(direct) = 1.157E+00 Ed(total) = 1.572E+00 Absorption Coefficients of Individual Components at 515.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0396 0.0598 0.0072 0.1066 3 0.646 1.000 0.0396 0.0598 0.0072 0.1066 5 1.292 2.000 0.0396 0.0598 0.0072 0.1066 7 1.938 3.000 0.0396 0.0598 0.0072 0.1066 9 2.585 4.000 0.0396 0.0598 0.0072 0.1066 11 3.231 5.000 0.0396 0.0598 0.0072 0.1066 13 3.877 6.000 0.0396 0.0598 0.0072 0.1066 15 4.523 7.000 0.0396 0.0598 0.0072 0.1066 17 5.169 8.000 0.0396 0.0598 0.0072 0.1066 19 5.815 9.000 0.0396 0.0598 0.0072 0.1066 21 6.461 10.000 0.0396 0.0598 0.0072 0.1066 Scattering Coefficients of Individual Components at 515.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0025 0.5370 0.0000 0.5395 3 0.646 1.000 0.0025 0.5370 0.0000 0.5395 5 1.292 2.000 0.0025 0.5370 0.0000 0.5395 7 1.938 3.000 0.0025 0.5370 0.0000 0.5395 9 2.585 4.000 0.0025 0.5370 0.0000 0.5395 11 3.231 5.000 0.0025 0.5370 0.0000 0.5395 13 3.877 6.000 0.0025 0.5370 0.0000 0.5395 15 4.523 7.000 0.0025 0.5370 0.0000 0.5395 17 5.169 8.000 0.0025 0.5370 0.0000 0.5395 19 5.815 9.000 0.0025 0.5370 0.0000 0.5395 21 6.461 10.000 0.0025 0.5370 0.0000 0.5395 Backscattering Coefficients of Individual Components at 515.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00127 0.01074 0.00000 0.01201 3 0.646 1.000 0.00127 0.01074 0.00000 0.01201 5 1.292 2.000 0.00127 0.01074 0.00000 0.01201 7 1.938 3.000 0.00127 0.01074 0.00000 0.01201 9 2.585 4.000 0.00127 0.01074 0.00000 0.01201 11 3.231 5.000 0.00127 0.01074 0.00000 0.01201 13 3.877 6.000 0.00127 0.01074 0.00000 0.01201 15 4.523 7.000 0.00127 0.01074 0.00000 0.01201 17 5.169 8.000 0.00127 0.01074 0.00000 0.01201 19 5.815 9.000 0.00127 0.01074 0.00000 0.01201 21 6.461 10.000 0.00127 0.01074 0.00000 0.01201 Summary of Inherent Optical Properties at 515.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1066 0.5395 0.6461 0.8350 0.01201 0.02226 3 0.646 1.000 0.1066 0.5395 0.6461 0.8350 0.01201 0.02226 5 1.292 2.000 0.1066 0.5395 0.6461 0.8350 0.01201 0.02226 7 1.938 3.000 0.1066 0.5395 0.6461 0.8350 0.01201 0.02226 9 2.585 4.000 0.1066 0.5395 0.6461 0.8350 0.01201 0.02226 11 3.231 5.000 0.1066 0.5395 0.6461 0.8350 0.01201 0.02226 13 3.877 6.000 0.1066 0.5395 0.6461 0.8350 0.01201 0.02226 15 4.523 7.000 0.1066 0.5395 0.6461 0.8350 0.01201 0.02226 17 5.169 8.000 0.1066 0.5395 0.6461 0.8350 0.01201 0.02226 19 5.815 9.000 0.1066 0.5395 0.6461 0.8350 0.01201 0.02226 21 6.461 10.000 0.1066 0.5395 0.6461 0.8350 0.01201 0.02226 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4399E-01 8 20.00 8.0969E-01 7 30.00 6.3522E-01 6 40.00 4.6316E-01 5 50.00 3.2002E-01 4 60.00 2.1409E-01 3 70.00 1.4168E-01 2 80.00 9.4893E-02 1 87.50 7.0954E-02 1 92.50 5.8064E-02 2 100.00 4.5024E-02 3 110.00 3.3515E-02 4 120.00 2.6083E-02 5 130.00 2.1325E-02 6 140.00 1.8277E-02 7 150.00 1.6345E-02 8 160.00 1.5167E-02 9 170.00 1.4533E-02 10 180.00 1.4310E-02 Asymptotic AOP values are MUu(inf) = 0.3787 MUd(inf) = 0.7091 MU(inf) = 0.6129 R(inf) = 0.0518 Lu(inf)/Ed(inf) = 0.010407 (1/sr) k(inf) = 0.1740 (1/m) absorp(check) = 0.1066 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 515.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.7456E-01 1.9471E+00 2.1216E+00 7.4291E-02 1.5717E+00 0.4256 0.8072 0.7058 4.7267E-02 1 0.00 0.00 1.4376E-01 1.7215E+00 1.8652E+00 6.2126E-02 1.5596E+00 0.4321 0.9059 0.8028 3.9835E-02 3 0.65 1.00 1.3358E-01 1.5578E+00 1.6913E+00 5.6463E-02 1.3651E+00 0.4227 0.8763 0.7738 4.1361E-02 5 1.29 2.00 1.2184E-01 1.3935E+00 1.5153E+00 5.0669E-02 1.1892E+00 0.4159 0.8534 0.7513 4.2608E-02 7 1.94 3.00 1.0969E-01 1.2357E+00 1.3454E+00 4.5048E-02 1.0318E+00 0.4107 0.8350 0.7334 4.3659E-02 9 2.58 4.00 9.7792E-02 1.0884E+00 1.1862E+00 3.9763E-02 8.9224E-01 0.4066 0.8198 0.7187 4.4565E-02 11 3.23 5.00 8.6530E-02 9.5337E-01 1.0399E+00 3.4893E-02 7.6930E-01 0.4032 0.8069 0.7062 4.5356E-02 13 3.88 6.00 7.6095E-02 8.3128E-01 9.0737E-01 3.0470E-02 6.6160E-01 0.4004 0.7959 0.6956 4.6054E-02 15 4.52 7.00 6.6573E-02 7.2197E-01 7.8854E-01 2.6496E-02 5.6769E-01 0.3980 0.7863 0.6863 4.6674E-02 17 5.17 8.00 5.7985E-02 6.2488E-01 6.8286E-01 2.2957E-02 4.8611E-01 0.3959 0.7779 0.6783 4.7227E-02 19 5.82 9.00 5.0312E-02 5.3922E-01 5.8953E-01 1.9828E-02 4.1550E-01 0.3941 0.7706 0.6712 4.7721E-02 21 6.46 10.00 4.3508E-02 4.6406E-01 5.0756E-01 1.7077E-02 3.5456E-01 0.3925 0.7640 0.6649 4.8164E-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 0.07017 0.09813 0.09598 0.08948 0.13051 0.13221 0.12177 1.000 1.010 1.005 0.08371 0.10614 0.10437 0.10267 0.13576 0.13719 0.12875 2.000 2.010 2.005 0.09936 0.11627 0.11491 0.11342 0.14011 0.14130 0.13431 3.000 3.010 3.005 0.11043 0.12385 0.12276 0.12150 0.14375 0.14476 0.13884 4.000 4.010 4.005 0.11888 0.12989 0.12898 0.12794 0.14687 0.14775 0.14266 5.000 5.010 5.005 0.12566 0.13488 0.13412 0.13326 0.14960 0.15038 0.14595 6.000 6.010 6.005 0.13127 0.13913 0.13847 0.13776 0.15201 0.15270 0.14884 7.000 7.010 7.005 0.13603 0.14280 0.14223 0.14165 0.15416 0.15478 0.15138 8.000 8.010 8.005 0.14013 0.14601 0.14551 0.14504 0.15609 0.15664 0.15364 9.000 9.010 9.005 0.14371 0.14884 0.14840 0.14802 0.15782 0.15831 0.15567 10.000 10.010 10.005 0.14685 0.15136 0.15097 0.15067 0.15938 0.15982 0.15748 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 4.38731E-01 8.32936E-03 5.87099E-02 6.70392E-02 5.29947E-03 0.133818 9 1 10.0 0.0 180.0 1.92351E-01 8.44714E-03 2.56029E-02 3.40500E-02 5.37440E-03 0.133105 9 4 10.0 45.0 135.0 2.14997E-01 8.41768E-03 2.94675E-02 3.78852E-02 5.35566E-03 0.137060 9 7 10.0 90.0 90.0 3.00280E-01 8.40970E-03 4.44812E-02 5.28909E-02 5.35058E-03 0.148132 8 1 20.0 0.0 180.0 1.14991E-01 8.52674E-03 8.30408E-03 1.68308E-02 5.42505E-03 0.072215 8 4 20.0 45.0 135.0 1.28317E-01 8.45437E-03 1.07094E-02 1.91638E-02 5.37900E-03 0.083461 8 7 20.0 90.0 90.0 1.80327E-01 8.46156E-03 2.16135E-02 3.00751E-02 5.38358E-03 0.119857 7 1 30.0 0.0 180.0 8.10219E-02 8.65777E-03 2.79363E-03 1.14514E-02 5.50841E-03 0.034480 7 4 30.0 45.0 135.0 8.84802E-02 8.66499E-03 3.53872E-03 1.22037E-02 5.51301E-03 0.039994 7 7 30.0 90.0 90.0 1.16311E-01 8.63720E-03 7.33039E-03 1.59676E-02 5.49532E-03 0.063024 6 1 40.0 0.0 180.0 6.65569E-02 8.77145E-03 1.94945E-03 1.07209E-02 5.58074E-03 0.029290 6 4 40.0 45.0 135.0 7.12613E-02 8.77573E-03 2.14151E-03 1.09172E-02 5.58346E-03 0.030051 6 7 40.0 90.0 90.0 8.74792E-02 8.76777E-03 3.09334E-03 1.18611E-02 5.57840E-03 0.035361 5 1 50.0 0.0 180.0 6.16467E-02 8.94828E-03 2.49186E-03 1.14401E-02 5.69325E-03 0.040422 5 4 50.0 45.0 135.0 6.51097E-02 8.91037E-03 2.62881E-03 1.15392E-02 5.66913E-03 0.040375 5 7 50.0 90.0 90.0 7.62341E-02 8.91907E-03 3.11974E-03 1.20388E-02 5.67466E-03 0.040923 4 1 60.0 0.0 180.0 6.39416E-02 8.89014E-03 4.90773E-03 1.37979E-02 5.65626E-03 0.076753 4 4 60.0 45.0 135.0 6.67065E-02 8.84436E-03 5.05998E-03 1.39043E-02 5.62713E-03 0.075854 4 7 60.0 90.0 90.0 7.54721E-02 8.96127E-03 5.67169E-03 1.46330E-02 5.70151E-03 0.075150 3 1 70.0 0.0 180.0 7.66842E-02 8.33386E-03 1.22714E-02 2.06053E-02 5.30233E-03 0.160025 3 4 70.0 45.0 135.0 7.87110E-02 8.38057E-03 1.25638E-02 2.09444E-02 5.33205E-03 0.159619 3 7 70.0 90.0 90.0 8.58412E-02 8.48210E-03 1.36672E-02 2.21493E-02 5.39665E-03 0.159215 2 1 80.0 0.0 180.0 1.14355E-01 7.20679E-03 2.91516E-02 3.63584E-02 4.58524E-03 0.254922 2 4 80.0 45.0 135.0 1.14907E-01 7.22835E-03 3.02566E-02 3.74850E-02 4.59896E-03 0.263315 2 7 80.0 90.0 90.0 1.19473E-01 7.30575E-03 3.23929E-02 3.96987E-02 4.64820E-03 0.271133 1 1 87.5 0.0 180.0 1.72393E-01 5.85915E-03 5.07955E-02 5.66546E-02 3.72782E-03 0.294649 1 4 87.5 45.0 135.0 1.70329E-01 5.59185E-03 5.42099E-02 5.98018E-02 3.55775E-03 0.318267 1 7 87.5 90.0 90.0 1.70012E-01 6.23852E-03 5.71404E-02 6.33790E-02 3.96919E-03 0.336097 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 6.704E-02 4.387E-01 1.145E-01 1.167E-01 1.248E-01 4.265E-02 1.108E+00 8.329E-03 5.299E-03 1 0.00 0.00 1.545E-02 6.347E+00 3.113E-02 3.430E-02 3.820E-02 9.908E-03 4.020E+00 3 0.65 1.00 1.363E-02 4.987E+00 2.959E-02 3.342E-02 3.936E-02 9.986E-03 4.142E+00 5 1.29 2.00 1.195E-02 3.908E+00 2.831E-02 3.220E-02 3.828E-02 1.005E-02 4.240E+00 7 1.94 3.00 1.043E-02 3.059E+00 2.639E-02 3.012E-02 3.593E-02 1.010E-02 4.321E+00 9 2.58 4.00 9.056E-03 2.394E+00 2.419E-02 2.765E-02 3.301E-02 1.015E-02 4.391E+00 11 3.23 5.00 7.839E-03 1.875E+00 2.191E-02 2.504E-02 2.986E-02 1.019E-02 4.451E+00 13 3.88 6.00 6.765E-03 1.470E+00 1.966E-02 2.245E-02 2.670E-02 1.022E-02 4.504E+00 15 4.52 7.00 5.822E-03 1.155E+00 1.751E-02 1.996E-02 2.366E-02 1.026E-02 4.551E+00 17 5.17 8.00 4.998E-03 9.100E-01 1.550E-02 1.763E-02 2.082E-02 1.028E-02 4.593E+00 19 5.82 9.00 4.282E-03 7.188E-01 1.366E-02 1.549E-02 1.820E-02 1.031E-02 4.631E+00 21 6.46 10.00 3.661E-03 5.696E-01 1.197E-02 1.354E-02 1.583E-02 1.033E-02 4.664E+00 Waveband 17 of 40 completed in 3.2 sec. * * * * * Output for wavelength band 18 (520.0 to 530.0 nm; nominal wavelength = 525.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 525.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 520.0 nm to 530.0 nm: Ed(diffuse) = 4.169E-01 Ed(direct) = 1.188E+00 Ed(total) = 1.605E+00 Absorption Coefficients of Individual Components at 525.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0417 0.0516 0.0063 0.0995 3 0.629 1.000 0.0417 0.0516 0.0063 0.0995 5 1.257 2.000 0.0417 0.0516 0.0063 0.0995 7 1.886 3.000 0.0417 0.0516 0.0063 0.0995 9 2.514 4.000 0.0417 0.0516 0.0063 0.0995 11 3.143 5.000 0.0417 0.0516 0.0063 0.0995 13 3.772 6.000 0.0417 0.0516 0.0063 0.0995 15 4.400 7.000 0.0417 0.0516 0.0063 0.0995 17 5.029 8.000 0.0417 0.0516 0.0063 0.0995 19 5.657 9.000 0.0417 0.0516 0.0063 0.0995 21 6.286 10.000 0.0417 0.0516 0.0063 0.0995 Scattering Coefficients of Individual Components at 525.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0023 0.5267 0.0000 0.5291 3 0.629 1.000 0.0023 0.5267 0.0000 0.5291 5 1.257 2.000 0.0023 0.5267 0.0000 0.5291 7 1.886 3.000 0.0023 0.5267 0.0000 0.5291 9 2.514 4.000 0.0023 0.5267 0.0000 0.5291 11 3.143 5.000 0.0023 0.5267 0.0000 0.5291 13 3.772 6.000 0.0023 0.5267 0.0000 0.5291 15 4.400 7.000 0.0023 0.5267 0.0000 0.5291 17 5.029 8.000 0.0023 0.5267 0.0000 0.5291 19 5.657 9.000 0.0023 0.5267 0.0000 0.5291 21 6.286 10.000 0.0023 0.5267 0.0000 0.5291 Backscattering Coefficients of Individual Components at 525.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00117 0.01053 0.00000 0.01170 3 0.629 1.000 0.00117 0.01053 0.00000 0.01170 5 1.257 2.000 0.00117 0.01053 0.00000 0.01170 7 1.886 3.000 0.00117 0.01053 0.00000 0.01170 9 2.514 4.000 0.00117 0.01053 0.00000 0.01170 11 3.143 5.000 0.00117 0.01053 0.00000 0.01170 13 3.772 6.000 0.00117 0.01053 0.00000 0.01170 15 4.400 7.000 0.00117 0.01053 0.00000 0.01170 17 5.029 8.000 0.00117 0.01053 0.00000 0.01170 19 5.657 9.000 0.00117 0.01053 0.00000 0.01170 21 6.286 10.000 0.00117 0.01053 0.00000 0.01170 Summary of Inherent Optical Properties at 525.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0995 0.5291 0.6286 0.8417 0.01170 0.02212 3 0.629 1.000 0.0995 0.5291 0.6286 0.8417 0.01170 0.02212 5 1.257 2.000 0.0995 0.5291 0.6286 0.8417 0.01170 0.02212 7 1.886 3.000 0.0995 0.5291 0.6286 0.8417 0.01170 0.02212 9 2.514 4.000 0.0995 0.5291 0.6286 0.8417 0.01170 0.02212 11 3.143 5.000 0.0995 0.5291 0.6286 0.8417 0.01170 0.02212 13 3.772 6.000 0.0995 0.5291 0.6286 0.8417 0.01170 0.02212 15 4.400 7.000 0.0995 0.5291 0.6286 0.8417 0.01170 0.02212 17 5.029 8.000 0.0995 0.5291 0.6286 0.8417 0.01170 0.02212 19 5.657 9.000 0.0995 0.5291 0.6286 0.8417 0.01170 0.02212 21 6.286 10.000 0.0995 0.5291 0.6286 0.8417 0.01170 0.02212 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4560E-01 8 20.00 8.1471E-01 7 30.00 6.4354E-01 6 40.00 4.7320E-01 5 50.00 3.2997E-01 4 60.00 2.2276E-01 3 70.00 1.4865E-01 2 80.00 1.0026E-01 1 87.50 7.5286E-02 1 92.50 6.1751E-02 2 100.00 4.8007E-02 3 110.00 3.5816E-02 4 120.00 2.7901E-02 5 130.00 2.2811E-02 6 140.00 1.9538E-02 7 150.00 1.7456E-02 8 160.00 1.6184E-02 9 170.00 1.5498E-02 10 180.00 1.5256E-02 Asymptotic AOP values are MUu(inf) = 0.3791 MUd(inf) = 0.7050 MU(inf) = 0.6054 R(inf) = 0.0544 Lu(inf)/Ed(inf) = 0.010902 (1/sr) k(inf) = 0.1644 (1/m) absorp(check) = 0.0995 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 525.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.7953E-01 1.9834E+00 2.1629E+00 7.6995E-02 1.6052E+00 0.4289 0.8093 0.7066 4.7966E-02 1 0.00 0.00 1.5355E-01 1.7629E+00 1.9165E+00 6.6460E-02 1.5947E+00 0.4328 0.9046 0.7974 4.1676E-02 3 0.63 1.00 1.4359E-01 1.6074E+00 1.7510E+00 6.0842E-02 1.4074E+00 0.4237 0.8756 0.7690 4.3230E-02 5 1.26 2.00 1.3201E-01 1.4500E+00 1.5820E+00 5.5044E-02 1.2365E+00 0.4170 0.8528 0.7468 4.4516E-02 7 1.89 3.00 1.1986E-01 1.2972E+00 1.4171E+00 4.9361E-02 1.0823E+00 0.4118 0.8344 0.7289 4.5606E-02 9 2.51 4.00 1.0782E-01 1.1530E+00 1.2608E+00 4.3959E-02 9.4433E-01 0.4077 0.8190 0.7141 4.6550E-02 11 3.14 5.00 9.6282E-02 1.0193E+00 1.1156E+00 3.8927E-02 8.2164E-01 0.4043 0.8061 0.7016 4.7378E-02 13 3.77 6.00 8.5463E-02 8.9715E-01 9.8262E-01 3.4309E-02 7.1313E-01 0.4014 0.7949 0.6908 4.8110E-02 15 4.40 7.00 7.5478E-02 7.8659E-01 8.6207E-01 3.0115E-02 6.1759E-01 0.3990 0.7851 0.6815 4.8762E-02 17 5.03 8.00 6.6371E-02 6.8735E-01 7.5372E-01 2.6341E-02 5.3381E-01 0.3969 0.7766 0.6733 4.9345E-02 19 5.66 9.00 5.8145E-02 5.9885E-01 6.5699E-01 2.2968E-02 4.6058E-01 0.3950 0.7691 0.6661 4.9868E-02 21 6.29 10.00 5.0770E-02 5.2038E-01 5.7115E-01 1.9972E-02 3.9676E-01 0.3934 0.7624 0.6597 5.0338E-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 0.06506 0.09155 0.08943 0.08297 0.12250 0.12422 0.11400 1.000 1.010 1.005 0.07630 0.09802 0.09624 0.09486 0.12735 0.12882 0.12046 2.000 2.010 2.005 0.09107 0.10762 0.10624 0.10501 0.13144 0.13267 0.12570 3.000 3.010 3.005 0.10166 0.11489 0.11377 0.11273 0.13488 0.13594 0.13001 4.000 4.010 4.005 0.10977 0.12072 0.11978 0.11892 0.13786 0.13878 0.13366 5.000 5.010 5.005 0.11641 0.12557 0.12478 0.12408 0.14047 0.14129 0.13683 6.000 6.010 6.005 0.12188 0.12970 0.12902 0.12845 0.14279 0.14351 0.13960 7.000 7.010 7.005 0.12654 0.13328 0.13269 0.13223 0.14485 0.14550 0.14206 8.000 8.010 8.005 0.13055 0.13643 0.13591 0.13554 0.14671 0.14729 0.14425 9.000 9.010 9.005 0.13406 0.13921 0.13875 0.13846 0.14839 0.14891 0.14622 10.000 10.010 10.005 0.13716 0.14169 0.14128 0.14106 0.14990 0.15037 0.14798 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 4.41473E-01 8.90397E-03 6.01546E-02 6.90586E-02 5.54693E-03 0.136259 9 1 10.0 0.0 180.0 1.93554E-01 9.02801E-03 2.61997E-02 3.52278E-02 5.62421E-03 0.135362 9 4 10.0 45.0 135.0 2.16342E-01 8.99744E-03 3.01615E-02 3.91589E-02 5.60516E-03 0.139416 9 7 10.0 90.0 90.0 3.02148E-01 8.99111E-03 4.55585E-02 5.45497E-02 5.60122E-03 0.150782 8 1 20.0 0.0 180.0 1.15710E-01 9.11372E-03 8.46676E-03 1.75805E-02 5.67760E-03 0.073172 8 4 20.0 45.0 135.0 1.29119E-01 9.03786E-03 1.09300E-02 1.99679E-02 5.63034E-03 0.084651 8 7 20.0 90.0 90.0 1.81454E-01 9.04914E-03 2.21057E-02 3.11549E-02 5.63737E-03 0.121825 7 1 30.0 0.0 180.0 8.15284E-02 9.25524E-03 2.82508E-03 1.20803E-02 5.76576E-03 0.034651 7 4 30.0 45.0 135.0 8.90334E-02 9.26503E-03 3.58568E-03 1.28507E-02 5.77186E-03 0.040273 7 7 30.0 90.0 90.0 1.17038E-01 9.24023E-03 7.46323E-03 1.67035E-02 5.75641E-03 0.063767 6 1 40.0 0.0 180.0 6.69730E-02 9.37987E-03 1.96235E-03 1.13422E-02 5.84341E-03 0.029301 6 4 40.0 45.0 135.0 7.17069E-02 9.38712E-03 2.15650E-03 1.15436E-02 5.84792E-03 0.030074 6 7 40.0 90.0 90.0 8.80261E-02 9.38495E-03 3.12261E-03 1.25076E-02 5.84657E-03 0.035474 5 1 50.0 0.0 180.0 6.20321E-02 9.57165E-03 2.50753E-03 1.20792E-02 5.96288E-03 0.040423 5 4 50.0 45.0 135.0 6.55168E-02 9.53415E-03 2.64524E-03 1.21794E-02 5.93952E-03 0.040375 5 7 50.0 90.0 90.0 7.67107E-02 9.55060E-03 3.13970E-03 1.26903E-02 5.94977E-03 0.040929 4 1 60.0 0.0 180.0 6.43413E-02 9.51178E-03 4.93841E-03 1.44502E-02 5.92558E-03 0.076753 4 4 60.0 45.0 135.0 6.71236E-02 9.46607E-03 5.09161E-03 1.45577E-02 5.89711E-03 0.075854 4 7 60.0 90.0 90.0 7.59440E-02 9.59883E-03 5.70715E-03 1.53060E-02 5.97981E-03 0.075150 3 1 70.0 0.0 180.0 7.71637E-02 8.91778E-03 1.23481E-02 2.12659E-02 5.55554E-03 0.160025 3 4 70.0 45.0 135.0 7.92031E-02 8.97092E-03 1.26423E-02 2.16133E-02 5.58864E-03 0.159619 3 7 70.0 90.0 90.0 8.63778E-02 9.08687E-03 1.37526E-02 2.28395E-02 5.66087E-03 0.159215 2 1 80.0 0.0 180.0 1.15070E-01 7.71199E-03 2.93339E-02 3.70458E-02 4.80436E-03 0.254922 2 4 80.0 45.0 135.0 1.15625E-01 7.73778E-03 3.04458E-02 3.81836E-02 4.82043E-03 0.263315 2 7 80.0 90.0 90.0 1.20220E-01 7.82676E-03 3.25954E-02 4.04222E-02 4.87586E-03 0.271133 1 1 87.5 0.0 180.0 1.73471E-01 6.26912E-03 5.11130E-02 5.73822E-02 3.90549E-03 0.294649 1 4 87.5 45.0 135.0 1.71393E-01 5.98516E-03 5.45488E-02 6.05340E-02 3.72859E-03 0.318267 1 7 87.5 90.0 90.0 1.71075E-01 6.68221E-03 5.74977E-02 6.41799E-02 4.16284E-03 0.336097 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 6.906E-02 4.415E-01 1.154E-01 1.176E-01 1.258E-01 4.302E-02 1.115E+00 8.904E-03 5.547E-03 1 0.00 0.00 1.652E-02 6.501E+00 3.315E-02 3.652E-02 4.065E-02 1.036E-02 4.023E+00 3 0.63 1.00 1.469E-02 5.159E+00 3.152E-02 3.558E-02 4.186E-02 1.044E-02 4.142E+00 5 1.26 2.00 1.299E-02 4.083E+00 3.037E-02 3.453E-02 4.101E-02 1.050E-02 4.238E+00 7 1.89 3.00 1.143E-02 3.228E+00 2.855E-02 3.258E-02 3.884E-02 1.056E-02 4.319E+00 9 2.51 4.00 1.002E-02 2.551E+00 2.641E-02 3.019E-02 3.601E-02 1.061E-02 4.388E+00 11 3.14 5.00 8.750E-03 2.017E+00 2.414E-02 2.760E-02 3.289E-02 1.065E-02 4.449E+00 13 3.77 6.00 7.620E-03 1.598E+00 2.187E-02 2.498E-02 2.971E-02 1.069E-02 4.502E+00 15 4.40 7.00 6.619E-03 1.267E+00 1.967E-02 2.243E-02 2.659E-02 1.072E-02 4.550E+00 17 5.03 8.00 5.736E-03 1.008E+00 1.758E-02 2.001E-02 2.363E-02 1.075E-02 4.592E+00 19 5.66 9.00 4.961E-03 8.037E-01 1.564E-02 1.775E-02 2.087E-02 1.077E-02 4.630E+00 21 6.29 10.00 4.282E-03 6.428E-01 1.385E-02 1.567E-02 1.833E-02 1.079E-02 4.664E+00 Waveband 18 of 40 completed in 3.0 sec. * * * * * Output for wavelength band 19 (530.0 to 540.0 nm; nominal wavelength = 535.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 535.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 530.0 nm to 540.0 nm: Ed(diffuse) = 4.155E-01 Ed(direct) = 1.206E+00 Ed(total) = 1.622E+00 Absorption Coefficients of Individual Components at 535.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0452 0.0454 0.0055 0.0960 3 0.615 1.000 0.0452 0.0454 0.0055 0.0960 5 1.230 2.000 0.0452 0.0454 0.0055 0.0960 7 1.845 3.000 0.0452 0.0454 0.0055 0.0960 9 2.460 4.000 0.0452 0.0454 0.0055 0.0960 11 3.075 5.000 0.0452 0.0454 0.0055 0.0960 13 3.690 6.000 0.0452 0.0454 0.0055 0.0960 15 4.305 7.000 0.0452 0.0454 0.0055 0.0960 17 4.921 8.000 0.0452 0.0454 0.0055 0.0960 19 5.536 9.000 0.0452 0.0454 0.0055 0.0960 21 6.151 10.000 0.0452 0.0454 0.0055 0.0960 Scattering Coefficients of Individual Components at 535.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0022 0.5169 0.0000 0.5191 3 0.615 1.000 0.0022 0.5169 0.0000 0.5191 5 1.230 2.000 0.0022 0.5169 0.0000 0.5191 7 1.845 3.000 0.0022 0.5169 0.0000 0.5191 9 2.460 4.000 0.0022 0.5169 0.0000 0.5191 11 3.075 5.000 0.0022 0.5169 0.0000 0.5191 13 3.690 6.000 0.0022 0.5169 0.0000 0.5191 15 4.305 7.000 0.0022 0.5169 0.0000 0.5191 17 4.921 8.000 0.0022 0.5169 0.0000 0.5191 19 5.536 9.000 0.0022 0.5169 0.0000 0.5191 21 6.151 10.000 0.0022 0.5169 0.0000 0.5191 Backscattering Coefficients of Individual Components at 535.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00108 0.01034 0.00000 0.01142 3 0.615 1.000 0.00108 0.01034 0.00000 0.01142 5 1.230 2.000 0.00108 0.01034 0.00000 0.01142 7 1.845 3.000 0.00108 0.01034 0.00000 0.01142 9 2.460 4.000 0.00108 0.01034 0.00000 0.01142 11 3.075 5.000 0.00108 0.01034 0.00000 0.01142 13 3.690 6.000 0.00108 0.01034 0.00000 0.01142 15 4.305 7.000 0.00108 0.01034 0.00000 0.01142 17 4.921 8.000 0.00108 0.01034 0.00000 0.01142 19 5.536 9.000 0.00108 0.01034 0.00000 0.01142 21 6.151 10.000 0.00108 0.01034 0.00000 0.01142 Summary of Inherent Optical Properties at 535.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0960 0.5191 0.6151 0.8439 0.01142 0.02199 3 0.615 1.000 0.0960 0.5191 0.6151 0.8439 0.01142 0.02199 5 1.230 2.000 0.0960 0.5191 0.6151 0.8439 0.01142 0.02199 7 1.845 3.000 0.0960 0.5191 0.6151 0.8439 0.01142 0.02199 9 2.460 4.000 0.0960 0.5191 0.6151 0.8439 0.01142 0.02199 11 3.075 5.000 0.0960 0.5191 0.6151 0.8439 0.01142 0.02199 13 3.690 6.000 0.0960 0.5191 0.6151 0.8439 0.01142 0.02199 15 4.305 7.000 0.0960 0.5191 0.6151 0.8439 0.01142 0.02199 17 4.921 8.000 0.0960 0.5191 0.6151 0.8439 0.01142 0.02199 19 5.536 9.000 0.0960 0.5191 0.6151 0.8439 0.01142 0.02199 21 6.151 10.000 0.0960 0.5191 0.6151 0.8439 0.01142 0.02199 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4613E-01 8 20.00 8.1638E-01 7 30.00 6.4632E-01 6 40.00 4.7657E-01 5 50.00 3.3332E-01 4 60.00 2.2568E-01 3 70.00 1.5100E-01 2 80.00 1.0206E-01 1 87.50 7.6732E-02 1 92.50 6.2974E-02 2 100.00 4.8988E-02 3 110.00 3.6562E-02 4 120.00 2.8481E-02 5 130.00 2.3275E-02 6 140.00 1.9924E-02 7 150.00 1.7791E-02 8 160.00 1.6486E-02 9 170.00 1.5781E-02 10 180.00 1.5534E-02 Asymptotic AOP values are MUu(inf) = 0.3790 MUd(inf) = 0.7037 MU(inf) = 0.6031 R(inf) = 0.0552 Lu(inf)/Ed(inf) = 0.011035 (1/sr) k(inf) = 0.1592 (1/m) absorp(check) = 0.0960 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 535.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.8088E-01 1.9991E+00 2.1800E+00 7.7951E-02 1.6218E+00 0.4309 0.8113 0.7082 4.8064E-02 1 0.00 0.00 1.5697E-01 1.7821E+00 1.9391E+00 6.7960E-02 1.6118E+00 0.4330 0.9045 0.7962 4.2163E-02 3 0.62 1.00 1.4726E-01 1.6309E+00 1.7782E+00 6.2446E-02 1.4287E+00 0.4240 0.8760 0.7683 4.3709E-02 5 1.23 2.00 1.3594E-01 1.4775E+00 1.6135E+00 5.6735E-02 1.2609E+00 0.4174 0.8534 0.7463 4.4996E-02 7 1.85 3.00 1.2398E-01 1.3278E+00 1.4518E+00 5.1108E-02 1.1088E+00 0.4122 0.8351 0.7286 4.6092E-02 9 2.46 4.00 1.1205E-01 1.1858E+00 1.2978E+00 4.5731E-02 9.7209E-01 0.4081 0.8198 0.7138 4.7044E-02 11 3.08 5.00 1.0055E-01 1.0535E+00 1.1540E+00 4.0695E-02 8.4992E-01 0.4047 0.8068 0.7012 4.7880E-02 13 3.69 6.00 8.9701E-02 9.3182E-01 1.0215E+00 3.6046E-02 7.4134E-01 0.4018 0.7956 0.6904 4.8623E-02 15 4.31 7.00 7.9626E-02 8.2114E-01 9.0077E-01 3.1801E-02 6.4525E-01 0.3994 0.7858 0.6810 4.9285E-02 17 4.92 8.00 7.0384E-02 7.2123E-01 7.9161E-01 2.7959E-02 5.6055E-01 0.3972 0.7772 0.6728 4.9878E-02 19 5.54 9.00 6.1984E-02 6.3164E-01 6.9362E-01 2.4506E-02 4.8613E-01 0.3954 0.7696 0.6655 5.0411E-02 21 6.15 10.00 5.4410E-02 5.5175E-01 6.0617E-01 2.1422E-02 4.2093E-01 0.3937 0.7629 0.6591 5.0892E-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 0.06252 0.08820 0.08612 0.07964 0.11832 0.12003 0.10993 1.000 1.010 1.005 0.07254 0.09397 0.09219 0.09084 0.12293 0.12439 0.11608 2.000 2.010 2.005 0.08677 0.10320 0.10182 0.10061 0.12684 0.12808 0.12112 3.000 3.010 3.005 0.09706 0.11024 0.10912 0.10809 0.13016 0.13122 0.12528 4.000 4.010 4.005 0.10502 0.11591 0.11497 0.11412 0.13303 0.13396 0.12882 5.000 5.010 5.005 0.11145 0.12064 0.11984 0.11914 0.13556 0.13638 0.13189 6.000 6.010 6.005 0.11682 0.12467 0.12398 0.12341 0.13780 0.13854 0.13459 7.000 7.010 7.005 0.12138 0.12818 0.12758 0.12712 0.13981 0.14047 0.13698 8.000 8.010 8.005 0.12534 0.13126 0.13073 0.13036 0.14162 0.14221 0.13912 9.000 9.010 9.005 0.12879 0.13399 0.13352 0.13323 0.14325 0.14379 0.14104 10.000 10.010 10.005 0.13184 0.13642 0.13601 0.13578 0.14473 0.14521 0.14278 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 4.40004E-01 9.09714E-03 6.09554E-02 7.00525E-02 5.60920E-03 0.138534 9 1 10.0 0.0 180.0 1.92910E-01 9.22293E-03 2.65182E-02 3.57412E-02 5.68676E-03 0.137465 9 4 10.0 45.0 135.0 2.15624E-01 9.19213E-03 3.05346E-02 3.97267E-02 5.66777E-03 0.141611 9 7 10.0 90.0 90.0 3.01133E-01 9.18674E-03 4.61493E-02 5.53360E-02 5.66445E-03 0.153252 8 1 20.0 0.0 180.0 1.15325E-01 9.31076E-03 8.54145E-03 1.78522E-02 5.74092E-03 0.074064 8 4 20.0 45.0 135.0 1.28689E-01 9.23399E-03 1.10364E-02 2.02704E-02 5.69358E-03 0.085760 8 7 20.0 90.0 90.0 1.80851E-01 9.24730E-03 2.23638E-02 3.16111E-02 5.70178E-03 0.123659 7 1 30.0 0.0 180.0 8.12571E-02 9.45605E-03 2.82866E-03 1.22847E-02 5.83050E-03 0.034811 7 4 30.0 45.0 135.0 8.87371E-02 9.46707E-03 3.59682E-03 1.30639E-02 5.83729E-03 0.040533 7 7 30.0 90.0 90.0 1.16649E-01 9.44421E-03 7.51921E-03 1.69634E-02 5.82320E-03 0.064460 6 1 40.0 0.0 180.0 6.67501E-02 9.58493E-03 1.95648E-03 1.15414E-02 5.90996E-03 0.029310 6 4 40.0 45.0 135.0 7.14682E-02 9.59369E-03 2.15082E-03 1.17445E-02 5.91537E-03 0.030095 6 7 40.0 90.0 90.0 8.77332E-02 9.59478E-03 3.12144E-03 1.27162E-02 5.91604E-03 0.035579 5 1 50.0 0.0 180.0 6.18256E-02 9.78236E-03 2.49927E-03 1.22816E-02 6.03170E-03 0.040424 5 4 50.0 45.0 135.0 6.52987E-02 9.74563E-03 2.63644E-03 1.23821E-02 6.00905E-03 0.040375 5 7 50.0 90.0 90.0 7.64554E-02 9.76635E-03 3.12967E-03 1.28960E-02 6.02182E-03 0.040935 4 1 60.0 0.0 180.0 6.41272E-02 9.72254E-03 4.92198E-03 1.46445E-02 5.99482E-03 0.076753 4 4 60.0 45.0 135.0 6.69002E-02 9.67758E-03 5.07467E-03 1.47523E-02 5.96709E-03 0.075854 4 7 60.0 90.0 90.0 7.56912E-02 9.81768E-03 5.68816E-03 1.55058E-02 6.05347E-03 0.075150 3 1 70.0 0.0 180.0 7.69069E-02 9.11639E-03 1.23071E-02 2.14234E-02 5.62107E-03 0.160025 3 4 70.0 45.0 135.0 7.89395E-02 9.17250E-03 1.26003E-02 2.17728E-02 5.65567E-03 0.159619 3 7 70.0 90.0 90.0 8.60904E-02 9.29551E-03 1.37069E-02 2.30024E-02 5.73151E-03 0.159215 2 1 80.0 0.0 180.0 1.14687E-01 7.88430E-03 2.92362E-02 3.71205E-02 4.86138E-03 0.254922 2 4 80.0 45.0 135.0 1.15240E-01 7.91230E-03 3.03445E-02 3.82568E-02 4.87864E-03 0.263315 2 7 80.0 90.0 90.0 1.19819E-01 8.00728E-03 3.24870E-02 4.04942E-02 4.93721E-03 0.271133 1 1 87.5 0.0 180.0 1.72894E-01 6.40930E-03 5.09429E-02 5.73522E-02 3.95191E-03 0.294649 1 4 87.5 45.0 135.0 1.70823E-01 6.12028E-03 5.43673E-02 6.04876E-02 3.77370E-03 0.318267 1 7 87.5 90.0 90.0 1.70506E-01 6.83655E-03 5.73063E-02 6.41429E-02 4.21534E-03 0.336097 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 7.005E-02 4.400E-01 1.151E-01 1.173E-01 1.255E-01 4.319E-02 1.113E+00 9.097E-03 5.609E-03 1 0.00 0.00 1.688E-02 6.586E+00 3.383E-02 3.730E-02 4.154E-02 1.047E-02 4.027E+00 3 0.62 1.00 1.507E-02 5.258E+00 3.220E-02 3.636E-02 4.277E-02 1.055E-02 4.143E+00 5 1.23 2.00 1.339E-02 4.188E+00 3.113E-02 3.541E-02 4.206E-02 1.062E-02 4.238E+00 7 1.85 3.00 1.183E-02 3.331E+00 2.940E-02 3.356E-02 4.002E-02 1.067E-02 4.319E+00 9 2.46 4.00 1.042E-02 2.649E+00 2.732E-02 3.124E-02 3.729E-02 1.072E-02 4.388E+00 11 3.08 5.00 9.148E-03 2.108E+00 2.509E-02 2.870E-02 3.424E-02 1.076E-02 4.448E+00 13 3.69 6.00 8.007E-03 1.679E+00 2.285E-02 2.611E-02 3.108E-02 1.080E-02 4.502E+00 15 4.31 7.00 6.990E-03 1.340E+00 2.065E-02 2.357E-02 2.797E-02 1.083E-02 4.549E+00 17 4.92 8.00 6.089E-03 1.072E+00 1.856E-02 2.114E-02 2.499E-02 1.086E-02 4.592E+00 19 5.54 9.00 5.293E-03 8.592E-01 1.659E-02 1.885E-02 2.219E-02 1.089E-02 4.630E+00 21 6.15 10.00 4.593E-03 6.909E-01 1.477E-02 1.673E-02 1.961E-02 1.091E-02 4.664E+00 Waveband 19 of 40 completed in 3.0 sec. * * * * * Output for wavelength band 20 (540.0 to 550.0 nm; nominal wavelength = 545.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 545.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 540.0 nm to 550.0 nm: Ed(diffuse) = 4.045E-01 Ed(direct) = 1.195E+00 Ed(total) = 1.599E+00 Absorption Coefficients of Individual Components at 545.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0511 0.0392 0.0047 0.0950 3 0.604 1.000 0.0511 0.0392 0.0047 0.0950 5 1.209 2.000 0.0511 0.0392 0.0047 0.0950 7 1.813 3.000 0.0511 0.0392 0.0047 0.0950 9 2.418 4.000 0.0511 0.0392 0.0047 0.0950 11 3.022 5.000 0.0511 0.0392 0.0047 0.0950 13 3.627 6.000 0.0511 0.0392 0.0047 0.0950 15 4.231 7.000 0.0511 0.0392 0.0047 0.0950 17 4.835 8.000 0.0511 0.0392 0.0047 0.0950 19 5.440 9.000 0.0511 0.0392 0.0047 0.0950 21 6.044 10.000 0.0511 0.0392 0.0047 0.0950 Scattering Coefficients of Individual Components at 545.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0020 0.5074 0.0000 0.5094 3 0.604 1.000 0.0020 0.5074 0.0000 0.5094 5 1.209 2.000 0.0020 0.5074 0.0000 0.5094 7 1.813 3.000 0.0020 0.5074 0.0000 0.5094 9 2.418 4.000 0.0020 0.5074 0.0000 0.5094 11 3.022 5.000 0.0020 0.5074 0.0000 0.5094 13 3.627 6.000 0.0020 0.5074 0.0000 0.5094 15 4.231 7.000 0.0020 0.5074 0.0000 0.5094 17 4.835 8.000 0.0020 0.5074 0.0000 0.5094 19 5.440 9.000 0.0020 0.5074 0.0000 0.5094 21 6.044 10.000 0.0020 0.5074 0.0000 0.5094 Backscattering Coefficients of Individual Components at 545.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00100 0.01015 0.00000 0.01114 3 0.604 1.000 0.00100 0.01015 0.00000 0.01114 5 1.209 2.000 0.00100 0.01015 0.00000 0.01114 7 1.813 3.000 0.00100 0.01015 0.00000 0.01114 9 2.418 4.000 0.00100 0.01015 0.00000 0.01114 11 3.022 5.000 0.00100 0.01015 0.00000 0.01114 13 3.627 6.000 0.00100 0.01015 0.00000 0.01114 15 4.231 7.000 0.00100 0.01015 0.00000 0.01114 17 4.835 8.000 0.00100 0.01015 0.00000 0.01114 19 5.440 9.000 0.00100 0.01015 0.00000 0.01114 21 6.044 10.000 0.00100 0.01015 0.00000 0.01114 Summary of Inherent Optical Properties at 545.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0950 0.5094 0.6044 0.8428 0.01114 0.02188 3 0.604 1.000 0.0950 0.5094 0.6044 0.8428 0.01114 0.02188 5 1.209 2.000 0.0950 0.5094 0.6044 0.8428 0.01114 0.02188 7 1.813 3.000 0.0950 0.5094 0.6044 0.8428 0.01114 0.02188 9 2.418 4.000 0.0950 0.5094 0.6044 0.8428 0.01114 0.02188 11 3.022 5.000 0.0950 0.5094 0.6044 0.8428 0.01114 0.02188 13 3.627 6.000 0.0950 0.5094 0.6044 0.8428 0.01114 0.02188 15 4.231 7.000 0.0950 0.5094 0.6044 0.8428 0.01114 0.02188 17 4.835 8.000 0.0950 0.5094 0.6044 0.8428 0.01114 0.02188 19 5.440 9.000 0.0950 0.5094 0.6044 0.8428 0.01114 0.02188 21 6.044 10.000 0.0950 0.5094 0.6044 0.8428 0.01114 0.02188 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4587E-01 8 20.00 8.1556E-01 7 30.00 6.4493E-01 6 40.00 4.7486E-01 5 50.00 3.3158E-01 4 60.00 2.2412E-01 3 70.00 1.4970E-01 2 80.00 1.0102E-01 1 87.50 7.5867E-02 1 92.50 6.2219E-02 2 100.00 4.8354E-02 3 110.00 3.6049E-02 4 120.00 2.8055E-02 5 130.00 2.2910E-02 6 140.00 1.9600E-02 7 150.00 1.7495E-02 8 160.00 1.6208E-02 9 170.00 1.5513E-02 10 180.00 1.5269E-02 Asymptotic AOP values are MUu(inf) = 0.3786 MUd(inf) = 0.7045 MU(inf) = 0.6048 R(inf) = 0.0545 Lu(inf)/Ed(inf) = 0.010880 (1/sr) k(inf) = 0.1571 (1/m) absorp(check) = 0.0950 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 545.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.7645E-01 1.9669E+00 2.1434E+00 7.6257E-02 1.5992E+00 0.4322 0.8130 0.7105 4.7685E-02 1 0.00 0.00 1.5272E-01 1.7551E+00 1.9078E+00 6.6073E-02 1.5890E+00 0.4326 0.9054 0.7983 4.1582E-02 3 0.60 1.00 1.4342E-01 1.6079E+00 1.7513E+00 6.0786E-02 1.4107E+00 0.4238 0.8773 0.7708 4.3091E-02 5 1.21 2.00 1.3258E-01 1.4586E+00 1.5912E+00 5.5309E-02 1.2471E+00 0.4172 0.8550 0.7490 4.4350E-02 7 1.81 3.00 1.2111E-01 1.3129E+00 1.4340E+00 4.9906E-02 1.0987E+00 0.4121 0.8368 0.7314 4.5425E-02 9 2.42 4.00 1.0965E-01 1.1744E+00 1.2841E+00 4.4736E-02 9.6497E-01 0.4080 0.8217 0.7167 4.6360E-02 11 3.02 5.00 9.8581E-02 1.0452E+00 1.1438E+00 3.9885E-02 8.4532E-01 0.4046 0.8087 0.7042 4.7184E-02 13 3.63 6.00 8.8118E-02 9.2632E-01 1.0144E+00 3.5399E-02 7.3879E-01 0.4017 0.7976 0.6934 4.7915E-02 15 4.23 7.00 7.8382E-02 8.1790E-01 8.9628E-01 3.1295E-02 6.4434E-01 0.3993 0.7878 0.6840 4.8569E-02 17 4.84 8.00 6.9431E-02 7.1984E-01 7.8927E-01 2.7572E-02 5.6091E-01 0.3971 0.7792 0.6757 4.9156E-02 19 5.44 9.00 6.1277E-02 6.3174E-01 6.9301E-01 2.4219E-02 4.8746E-01 0.3952 0.7716 0.6684 4.9684E-02 21 6.04 10.00 5.3908E-02 5.5301E-01 6.0692E-01 2.1217E-02 4.2298E-01 0.3936 0.7649 0.6620 5.0160E-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 0.06124 0.08707 0.08500 0.07851 0.11682 0.11848 0.10849 1.000 1.010 1.005 0.07132 0.09275 0.09099 0.08947 0.12129 0.12272 0.11447 2.000 2.010 2.005 0.08526 0.10175 0.10037 0.09902 0.12510 0.12631 0.11938 3.000 3.010 3.005 0.09536 0.10861 0.10749 0.10635 0.12833 0.12937 0.12344 4.000 4.010 4.005 0.10318 0.11415 0.11322 0.11226 0.13113 0.13205 0.12690 5.000 5.010 5.005 0.10952 0.11878 0.11798 0.11719 0.13360 0.13441 0.12991 6.000 6.010 6.005 0.11480 0.12274 0.12205 0.12139 0.13580 0.13652 0.13256 7.000 7.010 7.005 0.11930 0.12618 0.12558 0.12504 0.13777 0.13842 0.13491 8.000 8.010 8.005 0.12320 0.12920 0.12868 0.12824 0.13954 0.14013 0.13702 9.000 9.010 9.005 0.12661 0.13189 0.13142 0.13107 0.14115 0.14168 0.13891 10.000 10.010 10.005 0.12963 0.13429 0.13387 0.13359 0.14260 0.14308 0.14061 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 4.28342E-01 8.83537E-03 6.02673E-02 6.91027E-02 5.52491E-03 0.140699 9 1 10.0 0.0 180.0 1.87796E-01 8.95736E-03 2.61913E-02 3.51487E-02 5.60119E-03 0.139467 9 4 10.0 45.0 135.0 2.09910E-01 8.92751E-03 3.01641E-02 3.90916E-02 5.58252E-03 0.143700 9 7 10.0 90.0 90.0 2.93143E-01 8.92243E-03 4.56140E-02 5.45364E-02 5.57935E-03 0.155603 8 1 20.0 0.0 180.0 1.12268E-01 9.04269E-03 8.41038E-03 1.74531E-02 5.65455E-03 0.074913 8 4 20.0 45.0 135.0 1.25278E-01 8.96823E-03 1.08761E-02 1.98443E-02 5.60799E-03 0.086815 8 7 20.0 90.0 90.0 1.76057E-01 8.98146E-03 2.20784E-02 3.10598E-02 5.61626E-03 0.125405 7 1 30.0 0.0 180.0 7.91033E-02 9.18391E-03 2.76572E-03 1.19496E-02 5.74285E-03 0.034963 7 4 30.0 45.0 135.0 8.63851E-02 9.19477E-03 3.52287E-03 1.27176E-02 5.74965E-03 0.040781 7 7 30.0 90.0 90.0 1.13557E-01 9.17307E-03 7.39480E-03 1.65679E-02 5.73607E-03 0.065120 6 1 40.0 0.0 180.0 6.49808E-02 9.30942E-03 1.90523E-03 1.12147E-02 5.82134E-03 0.029320 6 4 40.0 45.0 135.0 6.95739E-02 9.31820E-03 2.09520E-03 1.14134E-02 5.82683E-03 0.030115 6 7 40.0 90.0 90.0 8.54077E-02 9.32010E-03 3.04725E-03 1.23673E-02 5.82802E-03 0.035679 5 1 50.0 0.0 180.0 6.01869E-02 9.50172E-03 2.43310E-03 1.19348E-02 5.94159E-03 0.040426 5 4 50.0 45.0 135.0 6.35679E-02 9.46645E-03 2.56656E-03 1.20330E-02 5.91953E-03 0.040375 5 7 50.0 90.0 90.0 7.44289E-02 9.48784E-03 3.04710E-03 1.25349E-02 5.93290E-03 0.040940 4 1 60.0 0.0 180.0 6.24275E-02 9.44428E-03 4.79152E-03 1.42358E-02 5.90567E-03 0.076753 4 4 60.0 45.0 135.0 6.51269E-02 9.40115E-03 4.94016E-03 1.43413E-02 5.87870E-03 0.075854 4 7 60.0 90.0 90.0 7.36850E-02 9.53894E-03 5.53739E-03 1.50763E-02 5.96486E-03 0.075150 3 1 70.0 0.0 180.0 7.48684E-02 8.85642E-03 1.19808E-02 2.08373E-02 5.53807E-03 0.160025 3 4 70.0 45.0 135.0 7.68472E-02 8.91162E-03 1.22663E-02 2.11779E-02 5.57259E-03 0.159619 3 7 70.0 90.0 90.0 8.38085E-02 9.03324E-03 1.33436E-02 2.23768E-02 5.64864E-03 0.159215 2 1 80.0 0.0 180.0 1.11647E-01 7.66033E-03 2.84613E-02 3.61216E-02 4.79013E-03 0.254922 2 4 80.0 45.0 135.0 1.12186E-01 7.68828E-03 2.95402E-02 3.72285E-02 4.80761E-03 0.263315 2 7 80.0 90.0 90.0 1.16644E-01 7.78277E-03 3.16259E-02 3.94086E-02 4.86670E-03 0.271133 1 1 87.5 0.0 180.0 1.68311E-01 6.22805E-03 4.95927E-02 5.58207E-02 3.89450E-03 0.294649 1 4 87.5 45.0 135.0 1.66295E-01 5.94788E-03 5.29263E-02 5.88741E-02 3.71931E-03 0.318267 1 7 87.5 90.0 90.0 1.65986E-01 6.64621E-03 5.57874E-02 6.24336E-02 4.15599E-03 0.336097 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 6.910E-02 4.283E-01 1.121E-01 1.142E-01 1.222E-01 4.321E-02 1.104E+00 8.835E-03 5.525E-03 1 0.00 0.00 1.639E-02 6.510E+00 3.293E-02 3.633E-02 4.050E-02 1.032E-02 4.031E+00 3 0.60 1.00 1.466E-02 5.216E+00 3.136E-02 3.544E-02 4.174E-02 1.039E-02 4.146E+00 5 1.21 2.00 1.304E-02 4.169E+00 3.036E-02 3.456E-02 4.110E-02 1.046E-02 4.241E+00 7 1.81 3.00 1.155E-02 3.328E+00 2.870E-02 3.280E-02 3.916E-02 1.051E-02 4.320E+00 9 2.42 4.00 1.019E-02 2.656E+00 2.672E-02 3.058E-02 3.655E-02 1.056E-02 4.389E+00 11 3.02 5.00 8.964E-03 2.120E+00 2.459E-02 2.815E-02 3.363E-02 1.060E-02 4.450E+00 13 3.63 6.00 7.861E-03 1.695E+00 2.243E-02 2.566E-02 3.059E-02 1.064E-02 4.503E+00 15 4.23 7.00 6.877E-03 1.357E+00 2.031E-02 2.321E-02 2.759E-02 1.067E-02 4.551E+00 17 4.84 8.00 6.003E-03 1.088E+00 1.829E-02 2.086E-02 2.471E-02 1.070E-02 4.593E+00 19 5.44 9.00 5.229E-03 8.752E-01 1.639E-02 1.864E-02 2.199E-02 1.073E-02 4.632E+00 21 6.04 10.00 4.547E-03 7.057E-01 1.462E-02 1.659E-02 1.947E-02 1.075E-02 4.666E+00 Waveband 20 of 40 completed in 3.0 sec. * * * * * Output for wavelength band 21 (550.0 to 560.0 nm; nominal wavelength = 555.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 555.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 550.0 nm to 560.0 nm: Ed(diffuse) = 3.970E-01 Ed(direct) = 1.191E+00 Ed(total) = 1.588E+00 Absorption Coefficients of Individual Components at 555.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0596 0.0330 0.0041 0.0967 3 0.597 1.000 0.0596 0.0330 0.0041 0.0967 5 1.194 2.000 0.0596 0.0330 0.0041 0.0967 7 1.790 3.000 0.0596 0.0330 0.0041 0.0967 9 2.387 4.000 0.0596 0.0330 0.0041 0.0967 11 2.984 5.000 0.0596 0.0330 0.0041 0.0967 13 3.581 6.000 0.0596 0.0330 0.0041 0.0967 15 4.178 7.000 0.0596 0.0330 0.0041 0.0967 17 4.775 8.000 0.0596 0.0330 0.0041 0.0967 19 5.371 9.000 0.0596 0.0330 0.0041 0.0967 21 5.968 10.000 0.0596 0.0330 0.0041 0.0967 Scattering Coefficients of Individual Components at 555.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0018 0.4983 0.0000 0.5001 3 0.597 1.000 0.0018 0.4983 0.0000 0.5001 5 1.194 2.000 0.0018 0.4983 0.0000 0.5001 7 1.790 3.000 0.0018 0.4983 0.0000 0.5001 9 2.387 4.000 0.0018 0.4983 0.0000 0.5001 11 2.984 5.000 0.0018 0.4983 0.0000 0.5001 13 3.581 6.000 0.0018 0.4983 0.0000 0.5001 15 4.178 7.000 0.0018 0.4983 0.0000 0.5001 17 4.775 8.000 0.0018 0.4983 0.0000 0.5001 19 5.371 9.000 0.0018 0.4983 0.0000 0.5001 21 5.968 10.000 0.0018 0.4983 0.0000 0.5001 Backscattering Coefficients of Individual Components at 555.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00092 0.00997 0.00000 0.01089 3 0.597 1.000 0.00092 0.00997 0.00000 0.01089 5 1.194 2.000 0.00092 0.00997 0.00000 0.01089 7 1.790 3.000 0.00092 0.00997 0.00000 0.01089 9 2.387 4.000 0.00092 0.00997 0.00000 0.01089 11 2.984 5.000 0.00092 0.00997 0.00000 0.01089 13 3.581 6.000 0.00092 0.00997 0.00000 0.01089 15 4.178 7.000 0.00092 0.00997 0.00000 0.01089 17 4.775 8.000 0.00092 0.00997 0.00000 0.01089 19 5.371 9.000 0.00092 0.00997 0.00000 0.01089 21 5.968 10.000 0.00092 0.00997 0.00000 0.01089 Summary of Inherent Optical Properties at 555.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0967 0.5001 0.5968 0.8380 0.01089 0.02177 3 0.597 1.000 0.0967 0.5001 0.5968 0.8380 0.01089 0.02177 5 1.194 2.000 0.0967 0.5001 0.5968 0.8380 0.01089 0.02177 7 1.790 3.000 0.0967 0.5001 0.5968 0.8380 0.01089 0.02177 9 2.387 4.000 0.0967 0.5001 0.5968 0.8380 0.01089 0.02177 11 2.984 5.000 0.0967 0.5001 0.5968 0.8380 0.01089 0.02177 13 3.581 6.000 0.0967 0.5001 0.5968 0.8380 0.01089 0.02177 15 4.178 7.000 0.0967 0.5001 0.5968 0.8380 0.01089 0.02177 17 4.775 8.000 0.0967 0.5001 0.5968 0.8380 0.01089 0.02177 19 5.371 9.000 0.0967 0.5001 0.5968 0.8380 0.01089 0.02177 21 5.968 10.000 0.0967 0.5001 0.5968 0.8380 0.01089 0.02177 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4471E-01 8 20.00 8.1192E-01 7 30.00 6.3887E-01 6 40.00 4.6749E-01 5 50.00 3.2421E-01 4 60.00 2.1763E-01 3 70.00 1.4442E-01 2 80.00 9.6902E-02 1 87.50 7.2502E-02 1 92.50 5.9328E-02 2 100.00 4.5985E-02 3 110.00 3.4187E-02 4 120.00 2.6556E-02 5 130.00 2.1661E-02 6 140.00 1.8522E-02 7 150.00 1.6530E-02 8 160.00 1.5315E-02 9 170.00 1.4660E-02 10 180.00 1.4429E-02 Asymptotic AOP values are MUu(inf) = 0.3778 MUd(inf) = 0.7075 MU(inf) = 0.6108 R(inf) = 0.0523 Lu(inf)/Ed(inf) = 0.010416 (1/sr) k(inf) = 0.1583 (1/m) absorp(check) = 0.0967 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 555.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.7186E-01 1.9496E+00 2.1214E+00 7.4323E-02 1.5883E+00 0.4325 0.8147 0.7137 4.6794E-02 1 0.00 0.00 1.4550E-01 1.7377E+00 1.8832E+00 6.2831E-02 1.5768E+00 0.4318 0.9074 0.8039 3.9847E-02 3 0.60 1.00 1.3646E-01 1.5892E+00 1.7256E+00 5.7723E-02 1.3979E+00 0.4230 0.8797 0.7767 4.1291E-02 5 1.19 2.00 1.2596E-01 1.4391E+00 1.5651E+00 5.2447E-02 1.2342E+00 0.4164 0.8576 0.7551 4.2494E-02 7 1.79 3.00 1.1490E-01 1.2932E+00 1.4081E+00 4.7260E-02 1.0859E+00 0.4113 0.8397 0.7376 4.3521E-02 9 2.39 4.00 1.0389E-01 1.1550E+00 1.2589E+00 4.2309E-02 9.5259E-01 0.4072 0.8248 0.7231 4.4414E-02 11 2.98 5.00 9.3281E-02 1.0265E+00 1.1197E+00 3.7674E-02 8.3346E-01 0.4039 0.8120 0.7107 4.5202E-02 13 3.58 6.00 8.3277E-02 9.0840E-01 9.9167E-01 3.3396E-02 7.2756E-01 0.4010 0.8009 0.7000 4.5902E-02 15 4.18 7.00 7.3987E-02 8.0100E-01 8.7499E-01 2.9490E-02 6.3380E-01 0.3986 0.7913 0.6907 4.6528E-02 17 4.77 8.00 6.5462E-02 7.0406E-01 7.6952E-01 2.5952E-02 5.5111E-01 0.3964 0.7828 0.6824 4.7091E-02 19 5.37 9.00 5.7709E-02 6.1712E-01 6.7483E-01 2.2771E-02 4.7840E-01 0.3946 0.7752 0.6752 4.7598E-02 21 5.97 10.00 5.0714E-02 5.3956E-01 5.9027E-01 1.9927E-02 4.1466E-01 0.3929 0.7685 0.6687 4.8056E-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 0.06198 0.08833 0.08629 0.07977 0.11819 0.11978 0.10983 1.000 1.010 1.005 0.07277 0.09456 0.09283 0.09090 0.12264 0.12400 0.11580 2.000 2.010 2.005 0.08671 0.10345 0.10210 0.10041 0.12640 0.12756 0.12066 3.000 3.010 3.005 0.09675 0.11021 0.10911 0.10768 0.12959 0.13059 0.12468 4.000 4.010 4.005 0.10451 0.11566 0.11474 0.11354 0.13236 0.13323 0.12810 5.000 5.010 5.005 0.11078 0.12021 0.11943 0.11842 0.13480 0.13558 0.13108 6.000 6.010 6.005 0.11602 0.12411 0.12343 0.12258 0.13697 0.13767 0.13370 7.000 7.010 7.005 0.12048 0.12749 0.12690 0.12619 0.13892 0.13954 0.13603 8.000 8.010 8.005 0.12433 0.13047 0.12995 0.12935 0.14068 0.14124 0.13811 9.000 9.010 9.005 0.12772 0.13312 0.13266 0.13216 0.14227 0.14278 0.13999 10.000 10.010 10.005 0.13071 0.13548 0.13507 0.13466 0.14371 0.14417 0.14168 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 4.20411E-01 8.39186E-03 6.00053E-02 6.83972E-02 5.28350E-03 0.142730 9 1 10.0 0.0 180.0 1.84319E-01 8.50831E-03 2.60525E-02 3.45608E-02 5.35682E-03 0.141344 9 4 10.0 45.0 135.0 2.06025E-01 8.47962E-03 3.00095E-02 3.84891E-02 5.33875E-03 0.145660 9 7 10.0 90.0 90.0 2.87708E-01 8.47400E-03 4.54027E-02 5.38767E-02 5.33522E-03 0.157808 8 1 20.0 0.0 180.0 1.10189E-01 8.58910E-03 8.34242E-03 1.69315E-02 5.40769E-03 0.075710 8 4 20.0 45.0 135.0 1.22959E-01 8.51783E-03 1.07965E-02 1.93143E-02 5.36281E-03 0.087805 8 7 20.0 90.0 90.0 1.72797E-01 8.52918E-03 2.19525E-02 3.04817E-02 5.36996E-03 0.127042 7 1 30.0 0.0 180.0 7.76387E-02 8.72271E-03 2.72559E-03 1.14483E-02 5.49181E-03 0.035106 7 4 30.0 45.0 135.0 8.47856E-02 8.73230E-03 3.47732E-03 1.22096E-02 5.49785E-03 0.041013 7 7 30.0 90.0 90.0 1.11455E-01 8.71014E-03 7.32682E-03 1.60370E-02 5.48389E-03 0.065738 6 1 40.0 0.0 180.0 6.37777E-02 8.84095E-03 1.87052E-03 1.07115E-02 5.56625E-03 0.029329 6 4 40.0 45.0 135.0 6.82857E-02 8.84844E-03 2.05768E-03 1.09061E-02 5.57097E-03 0.030133 6 7 40.0 90.0 90.0 8.38264E-02 8.84854E-03 2.99869E-03 1.18472E-02 5.57103E-03 0.035773 5 1 50.0 0.0 180.0 5.90725E-02 9.02311E-03 2.38812E-03 1.14112E-02 5.68094E-03 0.040427 5 4 50.0 45.0 135.0 6.23910E-02 8.98878E-03 2.51904E-03 1.15078E-02 5.65933E-03 0.040375 5 7 50.0 90.0 90.0 7.30509E-02 9.00761E-03 2.99105E-03 1.19987E-02 5.67118E-03 0.040945 4 1 60.0 0.0 180.0 6.12716E-02 8.96842E-03 4.70280E-03 1.36712E-02 5.64651E-03 0.076753 4 4 60.0 45.0 135.0 6.39211E-02 8.92675E-03 4.84869E-03 1.37754E-02 5.62027E-03 0.075854 4 7 60.0 90.0 90.0 7.23207E-02 9.05649E-03 5.43486E-03 1.44914E-02 5.70195E-03 0.075150 3 1 70.0 0.0 180.0 7.34822E-02 8.41099E-03 1.17590E-02 2.01700E-02 5.29555E-03 0.160025 3 4 70.0 45.0 135.0 7.54244E-02 8.46295E-03 1.20392E-02 2.05021E-02 5.32826E-03 0.159619 3 7 70.0 90.0 90.0 8.22568E-02 8.57814E-03 1.30965E-02 2.16746E-02 5.40079E-03 0.159215 2 1 80.0 0.0 180.0 1.09580E-01 7.27617E-03 2.79343E-02 3.52105E-02 4.58106E-03 0.254922 2 4 80.0 45.0 135.0 1.10109E-01 7.30254E-03 2.89932E-02 3.62958E-02 4.59767E-03 0.263315 2 7 80.0 90.0 90.0 1.14484E-01 7.39262E-03 3.10403E-02 3.84329E-02 4.65438E-03 0.271133 1 1 87.5 0.0 180.0 1.65195E-01 5.91725E-03 4.86744E-02 5.45917E-02 3.72549E-03 0.294649 1 4 87.5 45.0 135.0 1.63216E-01 5.65109E-03 5.19463E-02 5.75974E-02 3.55792E-03 0.318267 1 7 87.5 90.0 90.0 1.62913E-01 6.31554E-03 5.47545E-02 6.10700E-02 3.97626E-03 0.336097 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 6.840E-02 4.204E-01 1.099E-01 1.120E-01 1.198E-01 4.306E-02 1.087E+00 8.392E-03 5.284E-03 1 0.00 0.00 1.557E-02 6.480E+00 3.141E-02 3.471E-02 3.877E-02 9.873E-03 4.036E+00 3 0.60 1.00 1.391E-02 5.196E+00 2.997E-02 3.392E-02 4.004E-02 9.948E-03 4.151E+00 5 1.19 2.00 1.236E-02 4.156E+00 2.897E-02 3.303E-02 3.936E-02 1.001E-02 4.245E+00 7 1.79 3.00 1.093E-02 3.320E+00 2.735E-02 3.130E-02 3.744E-02 1.006E-02 4.324E+00 9 2.39 4.00 9.631E-03 2.651E+00 2.541E-02 2.914E-02 3.490E-02 1.011E-02 4.393E+00 11 2.98 5.00 8.460E-03 2.118E+00 2.335E-02 2.678E-02 3.206E-02 1.015E-02 4.453E+00 13 3.58 6.00 7.411E-03 1.694E+00 2.127E-02 2.438E-02 2.913E-02 1.019E-02 4.506E+00 15 4.18 7.00 6.476E-03 1.356E+00 1.924E-02 2.202E-02 2.624E-02 1.022E-02 4.554E+00 17 4.77 8.00 5.646E-03 1.088E+00 1.730E-02 1.977E-02 2.347E-02 1.025E-02 4.596E+00 19 5.37 9.00 4.913E-03 8.752E-01 1.548E-02 1.765E-02 2.086E-02 1.027E-02 4.634E+00 21 5.97 10.00 4.268E-03 7.056E-01 1.380E-02 1.568E-02 1.846E-02 1.029E-02 4.669E+00 Waveband 21 of 40 completed in 3.0 sec. * * * * * Output for wavelength band 22 (560.0 to 570.0 nm; nominal wavelength = 565.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 44.1 m at 565.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 560.0 nm to 570.0 nm: Ed(diffuse) = 3.892E-01 Ed(direct) = 1.185E+00 Ed(total) = 1.575E+00 Absorption Coefficients of Individual Components at 565.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0642 0.0278 0.0036 0.0956 3 0.587 1.000 0.0642 0.0278 0.0036 0.0956 5 1.174 2.000 0.0642 0.0278 0.0036 0.0956 7 1.760 3.000 0.0642 0.0278 0.0036 0.0956 9 2.347 4.000 0.0642 0.0278 0.0036 0.0956 11 2.934 5.000 0.0642 0.0278 0.0036 0.0956 13 3.521 6.000 0.0642 0.0278 0.0036 0.0956 15 4.107 7.000 0.0642 0.0278 0.0036 0.0956 17 4.694 8.000 0.0642 0.0278 0.0036 0.0956 19 5.281 9.000 0.0642 0.0278 0.0036 0.0956 21 5.868 10.000 0.0642 0.0278 0.0036 0.0956 Scattering Coefficients of Individual Components at 565.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0017 0.4894 0.0000 0.4912 3 0.587 1.000 0.0017 0.4894 0.0000 0.4912 5 1.174 2.000 0.0017 0.4894 0.0000 0.4912 7 1.760 3.000 0.0017 0.4894 0.0000 0.4912 9 2.347 4.000 0.0017 0.4894 0.0000 0.4912 11 2.934 5.000 0.0017 0.4894 0.0000 0.4912 13 3.521 6.000 0.0017 0.4894 0.0000 0.4912 15 4.107 7.000 0.0017 0.4894 0.0000 0.4912 17 4.694 8.000 0.0017 0.4894 0.0000 0.4912 19 5.281 9.000 0.0017 0.4894 0.0000 0.4912 21 5.868 10.000 0.0017 0.4894 0.0000 0.4912 Backscattering Coefficients of Individual Components at 565.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00085 0.00979 0.00000 0.01064 3 0.587 1.000 0.00085 0.00979 0.00000 0.01064 5 1.174 2.000 0.00085 0.00979 0.00000 0.01064 7 1.760 3.000 0.00085 0.00979 0.00000 0.01064 9 2.347 4.000 0.00085 0.00979 0.00000 0.01064 11 2.934 5.000 0.00085 0.00979 0.00000 0.01064 13 3.521 6.000 0.00085 0.00979 0.00000 0.01064 15 4.107 7.000 0.00085 0.00979 0.00000 0.01064 17 4.694 8.000 0.00085 0.00979 0.00000 0.01064 19 5.281 9.000 0.00085 0.00979 0.00000 0.01064 21 5.868 10.000 0.00085 0.00979 0.00000 0.01064 Summary of Inherent Optical Properties at 565.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0956 0.4912 0.5868 0.8370 0.01064 0.02167 3 0.587 1.000 0.0956 0.4912 0.5868 0.8370 0.01064 0.02167 5 1.174 2.000 0.0956 0.4912 0.5868 0.8370 0.01064 0.02167 7 1.760 3.000 0.0956 0.4912 0.5868 0.8370 0.01064 0.02167 9 2.347 4.000 0.0956 0.4912 0.5868 0.8370 0.01064 0.02167 11 2.934 5.000 0.0956 0.4912 0.5868 0.8370 0.01064 0.02167 13 3.521 6.000 0.0956 0.4912 0.5868 0.8370 0.01064 0.02167 15 4.107 7.000 0.0956 0.4912 0.5868 0.8370 0.01064 0.02167 17 4.694 8.000 0.0956 0.4912 0.5868 0.8370 0.01064 0.02167 19 5.281 9.000 0.0956 0.4912 0.5868 0.8370 0.01064 0.02167 21 5.868 10.000 0.0956 0.4912 0.5868 0.8370 0.01064 0.02167 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4449E-01 8 20.00 8.1124E-01 7 30.00 6.3773E-01 6 40.00 4.6610E-01 5 50.00 3.2282E-01 4 60.00 2.1639E-01 3 70.00 1.4340E-01 2 80.00 9.6090E-02 1 87.50 7.1828E-02 1 92.50 5.8741E-02 2 100.00 4.5494E-02 3 110.00 3.3791E-02 4 120.00 2.6227E-02 5 130.00 2.1380E-02 6 140.00 1.8272E-02 7 150.00 1.6302E-02 8 160.00 1.5100E-02 9 170.00 1.4452E-02 10 180.00 1.4224E-02 Asymptotic AOP values are MUu(inf) = 0.3774 MUd(inf) = 0.7081 MU(inf) = 0.6121 R(inf) = 0.0517 Lu(inf)/Ed(inf) = 0.010293 (1/sr) k(inf) = 0.1562 (1/m) absorp(check) = 0.0956 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 565.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.6881E-01 1.9292E+00 2.0980E+00 7.3190E-02 1.5747E+00 0.4336 0.8162 0.7157 4.6480E-02 1 0.00 0.00 1.4259E-01 1.7210E+00 1.8636E+00 6.1536E-02 1.5630E+00 0.4316 0.9082 0.8057 3.9370E-02 3 0.59 1.00 1.3388E-01 1.5757E+00 1.7096E+00 5.6606E-02 1.3879E+00 0.4228 0.8808 0.7787 4.0785E-02 5 1.17 2.00 1.2375E-01 1.4289E+00 1.5527E+00 5.1513E-02 1.2275E+00 0.4163 0.8591 0.7574 4.1966E-02 7 1.76 3.00 1.1308E-01 1.2861E+00 1.3991E+00 4.6499E-02 1.0820E+00 0.4112 0.8413 0.7401 4.2976E-02 9 2.35 4.00 1.0243E-01 1.1506E+00 1.2531E+00 4.1705E-02 9.5094E-01 0.4072 0.8264 0.7256 4.3856E-02 11 2.93 5.00 9.2147E-02 1.0245E+00 1.1166E+00 3.7209E-02 8.3366E-01 0.4038 0.8137 0.7133 4.4634E-02 13 3.52 6.00 8.2430E-02 9.0840E-01 9.9083E-01 3.3051E-02 7.2919E-01 0.4010 0.8027 0.7026 4.5326E-02 15 4.11 7.00 7.3389E-02 8.0261E-01 8.7600E-01 2.9246E-02 6.3653E-01 0.3985 0.7931 0.6933 4.5946E-02 17 4.69 8.00 6.5072E-02 7.0693E-01 7.7200E-01 2.5793E-02 5.5464E-01 0.3964 0.7846 0.6850 4.6504E-02 19 5.28 9.00 5.7492E-02 6.2094E-01 6.7843E-01 2.2681E-02 4.8249E-01 0.3945 0.7770 0.6778 4.7009E-02 21 5.87 10.00 5.0636E-02 5.4406E-01 5.9470E-01 1.9893E-02 4.1910E-01 0.3929 0.7703 0.6713 4.7465E-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 0.06086 0.08717 0.08515 0.07858 0.11664 0.11820 0.10831 1.000 1.010 1.005 0.07147 0.09327 0.09156 0.08945 0.12096 0.12230 0.11411 2.000 2.010 2.005 0.08514 0.10193 0.10059 0.09875 0.12462 0.12575 0.11885 3.000 3.010 3.005 0.09499 0.10854 0.10744 0.10588 0.12773 0.12871 0.12278 4.000 4.010 4.005 0.10262 0.11386 0.11295 0.11162 0.13043 0.13129 0.12612 5.000 5.010 5.005 0.10875 0.11832 0.11753 0.11641 0.13281 0.13358 0.12904 6.000 6.010 6.005 0.11395 0.12214 0.12146 0.12051 0.13494 0.13562 0.13161 7.000 7.010 7.005 0.11835 0.12546 0.12486 0.12406 0.13685 0.13746 0.13390 8.000 8.010 8.005 0.12216 0.12839 0.12786 0.12718 0.13857 0.13913 0.13595 9.000 9.010 9.005 0.12549 0.13099 0.13052 0.12995 0.14014 0.14064 0.13779 10.000 10.010 10.005 0.12845 0.13332 0.13290 0.13242 0.14156 0.14201 0.13947 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 4.12138E-01 8.21150E-03 5.96270E-02 6.78385E-02 5.21476E-03 0.144677 9 1 10.0 0.0 180.0 1.80692E-01 8.32528E-03 2.58651E-02 3.41903E-02 5.28702E-03 0.143144 9 4 10.0 45.0 135.0 2.01972E-01 8.29726E-03 2.97985E-02 3.80958E-02 5.26922E-03 0.147538 9 7 10.0 90.0 90.0 2.82039E-01 8.29190E-03 4.51043E-02 5.33962E-02 5.26582E-03 0.159922 8 1 20.0 0.0 180.0 1.08021E-01 8.40434E-03 8.26072E-03 1.66651E-02 5.33723E-03 0.076473 8 4 20.0 45.0 135.0 1.20539E-01 8.33470E-03 1.06984E-02 1.90331E-02 5.29300E-03 0.088755 8 7 20.0 90.0 90.0 1.69397E-01 8.34607E-03 2.17864E-02 3.01324E-02 5.30022E-03 0.128611 7 1 30.0 0.0 180.0 7.61109E-02 8.53516E-03 2.68236E-03 1.12175E-02 5.42030E-03 0.035243 7 4 30.0 45.0 135.0 8.31172E-02 8.54468E-03 3.42739E-03 1.19721E-02 5.42635E-03 0.041236 7 7 30.0 90.0 90.0 1.09261E-01 8.52342E-03 7.24743E-03 1.57709E-02 5.41285E-03 0.066331 6 1 40.0 0.0 180.0 6.25227E-02 8.65110E-03 1.83425E-03 1.04854E-02 5.49394E-03 0.029337 6 4 40.0 45.0 135.0 6.69420E-02 8.65867E-03 2.01838E-03 1.06771E-02 5.49874E-03 0.030151 6 7 40.0 90.0 90.0 8.21768E-02 8.65950E-03 2.94708E-03 1.16066E-02 5.49927E-03 0.035863 5 1 50.0 0.0 180.0 5.79101E-02 8.82976E-03 2.34119E-03 1.11710E-02 5.60740E-03 0.040428 5 4 50.0 45.0 135.0 6.11632E-02 8.79653E-03 2.46947E-03 1.12660E-02 5.58629E-03 0.040375 5 7 50.0 90.0 90.0 7.16133E-02 8.81604E-03 2.93252E-03 1.17486E-02 5.59868E-03 0.040949 4 1 60.0 0.0 180.0 6.00659E-02 8.77676E-03 4.61026E-03 1.33870E-02 5.57373E-03 0.076753 4 4 60.0 45.0 135.0 6.26632E-02 8.73644E-03 4.75328E-03 1.34897E-02 5.54813E-03 0.075854 4 7 60.0 90.0 90.0 7.08975E-02 8.86488E-03 5.32791E-03 1.41928E-02 5.62969E-03 0.075150 3 1 70.0 0.0 180.0 7.20362E-02 8.23197E-03 1.15276E-02 1.97596E-02 5.22777E-03 0.160025 3 4 70.0 45.0 135.0 7.39401E-02 8.28341E-03 1.18023E-02 2.00857E-02 5.26043E-03 0.159619 3 7 70.0 90.0 90.0 8.06381E-02 8.39798E-03 1.28388E-02 2.12368E-02 5.33319E-03 0.159215 2 1 80.0 0.0 180.0 1.07423E-01 7.12197E-03 2.73846E-02 3.45066E-02 4.52285E-03 0.254922 2 4 80.0 45.0 135.0 1.07942E-01 7.14842E-03 2.84227E-02 3.55711E-02 4.53965E-03 0.263315 2 7 80.0 90.0 90.0 1.12231E-01 7.23849E-03 3.04295E-02 3.76680E-02 4.59685E-03 0.271133 1 1 87.5 0.0 180.0 1.61944E-01 5.79249E-03 4.77166E-02 5.35091E-02 3.67856E-03 0.294649 1 4 87.5 45.0 135.0 1.60004E-01 5.53253E-03 5.09241E-02 5.64566E-02 3.51347E-03 0.318267 1 7 87.5 90.0 90.0 1.59707E-01 6.18496E-03 5.36770E-02 5.98619E-02 3.92780E-03 0.336097 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 6.784E-02 4.121E-01 1.077E-01 1.098E-01 1.174E-01 4.308E-02 1.079E+00 8.211E-03 5.215E-03 1 0.00 0.00 1.523E-02 6.438E+00 3.078E-02 3.404E-02 3.806E-02 9.746E-03 4.040E+00 3 0.59 1.00 1.363E-02 5.180E+00 2.940E-02 3.330E-02 3.934E-02 9.820E-03 4.153E+00 5 1.17 2.00 1.213E-02 4.158E+00 2.845E-02 3.246E-02 3.872E-02 9.882E-03 4.247E+00 7 1.76 3.00 1.075E-02 3.333E+00 2.690E-02 3.081E-02 3.690E-02 9.935E-03 4.326E+00 9 2.35 4.00 9.492E-03 2.671E+00 2.504E-02 2.873E-02 3.445E-02 9.981E-03 4.394E+00 11 2.93 5.00 8.355E-03 2.141E+00 2.305E-02 2.646E-02 3.171E-02 1.002E-02 4.454E+00 13 3.52 6.00 7.334E-03 1.717E+00 2.104E-02 2.414E-02 2.887E-02 1.006E-02 4.507E+00 15 4.11 7.00 6.422E-03 1.380E+00 1.907E-02 2.185E-02 2.607E-02 1.009E-02 4.554E+00 17 4.69 8.00 5.611E-03 1.110E+00 1.718E-02 1.965E-02 2.337E-02 1.012E-02 4.597E+00 19 5.28 9.00 4.894E-03 8.956E-01 1.541E-02 1.758E-02 2.082E-02 1.014E-02 4.635E+00 21 5.87 10.00 4.260E-03 7.240E-01 1.376E-02 1.566E-02 1.846E-02 1.016E-02 4.670E+00 Waveband 22 of 40 completed in 2.9 sec. * * * * * Output for wavelength band 23 (570.0 to 580.0 nm; nominal wavelength = 575.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 43.9 m at 575.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 570.0 nm to 580.0 nm: Ed(diffuse) = 3.854E-01 Ed(direct) = 1.191E+00 Ed(total) = 1.576E+00 Absorption Coefficients of Individual Components at 575.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0772 0.0268 0.0031 0.1071 3 0.590 1.000 0.0772 0.0268 0.0031 0.1071 5 1.179 2.000 0.0772 0.0268 0.0031 0.1071 7 1.769 3.000 0.0772 0.0268 0.0031 0.1071 9 2.359 4.000 0.0772 0.0268 0.0031 0.1071 11 2.948 5.000 0.0772 0.0268 0.0031 0.1071 13 3.538 6.000 0.0772 0.0268 0.0031 0.1071 15 4.127 7.000 0.0772 0.0268 0.0031 0.1071 17 4.717 8.000 0.0772 0.0268 0.0031 0.1071 19 5.307 9.000 0.0772 0.0268 0.0031 0.1071 21 5.896 10.000 0.0772 0.0268 0.0031 0.1071 Scattering Coefficients of Individual Components at 575.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0016 0.4809 0.0000 0.4825 3 0.590 1.000 0.0016 0.4809 0.0000 0.4825 5 1.179 2.000 0.0016 0.4809 0.0000 0.4825 7 1.769 3.000 0.0016 0.4809 0.0000 0.4825 9 2.359 4.000 0.0016 0.4809 0.0000 0.4825 11 2.948 5.000 0.0016 0.4809 0.0000 0.4825 13 3.538 6.000 0.0016 0.4809 0.0000 0.4825 15 4.127 7.000 0.0016 0.4809 0.0000 0.4825 17 4.717 8.000 0.0016 0.4809 0.0000 0.4825 19 5.307 9.000 0.0016 0.4809 0.0000 0.4825 21 5.896 10.000 0.0016 0.4809 0.0000 0.4825 Backscattering Coefficients of Individual Components at 575.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00079 0.00962 0.00000 0.01041 3 0.590 1.000 0.00079 0.00962 0.00000 0.01041 5 1.179 2.000 0.00079 0.00962 0.00000 0.01041 7 1.769 3.000 0.00079 0.00962 0.00000 0.01041 9 2.359 4.000 0.00079 0.00962 0.00000 0.01041 11 2.948 5.000 0.00079 0.00962 0.00000 0.01041 13 3.538 6.000 0.00079 0.00962 0.00000 0.01041 15 4.127 7.000 0.00079 0.00962 0.00000 0.01041 17 4.717 8.000 0.00079 0.00962 0.00000 0.01041 19 5.307 9.000 0.00079 0.00962 0.00000 0.01041 21 5.896 10.000 0.00079 0.00962 0.00000 0.01041 Summary of Inherent Optical Properties at 575.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1071 0.4825 0.5896 0.8183 0.01041 0.02157 3 0.590 1.000 0.1071 0.4825 0.5896 0.8183 0.01041 0.02157 5 1.179 2.000 0.1071 0.4825 0.5896 0.8183 0.01041 0.02157 7 1.769 3.000 0.1071 0.4825 0.5896 0.8183 0.01041 0.02157 9 2.359 4.000 0.1071 0.4825 0.5896 0.8183 0.01041 0.02157 11 2.948 5.000 0.1071 0.4825 0.5896 0.8183 0.01041 0.02157 13 3.538 6.000 0.1071 0.4825 0.5896 0.8183 0.01041 0.02157 15 4.127 7.000 0.1071 0.4825 0.5896 0.8183 0.01041 0.02157 17 4.717 8.000 0.1071 0.4825 0.5896 0.8183 0.01041 0.02157 19 5.307 9.000 0.1071 0.4825 0.5896 0.8183 0.01041 0.02157 21 5.896 10.000 0.1071 0.4825 0.5896 0.8183 0.01041 0.02157 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3999E-01 8 20.00 7.9732E-01 7 30.00 6.1492E-01 6 40.00 4.3896E-01 5 50.00 2.9631E-01 4 60.00 1.9362E-01 3 70.00 1.2534E-01 2 80.00 8.2308E-02 1 87.50 6.0755E-02 1 92.50 4.9336E-02 2 100.00 3.7893E-02 3 110.00 2.7918E-02 4 120.00 2.1566E-02 5 130.00 1.7545E-02 6 140.00 1.4994E-02 7 150.00 1.3389E-02 8 160.00 1.2417E-02 9 170.00 1.1896E-02 10 180.00 1.1714E-02 Asymptotic AOP values are MUu(inf) = 0.3754 MUd(inf) = 0.7193 MU(inf) = 0.6329 R(inf) = 0.0447 Lu(inf)/Ed(inf) = 0.008897 (1/sr) k(inf) = 0.1693 (1/m) absorp(check) = 0.1071 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 575.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.6102E-01 1.9274E+00 2.0884E+00 6.9428E-02 1.5760E+00 0.4312 0.8177 0.7214 4.4053E-02 1 0.00 0.00 1.2421E-01 1.7073E+00 1.8315E+00 5.3301E-02 1.5599E+00 0.4291 0.9137 0.8226 3.4169E-02 3 0.59 1.00 1.1546E-01 1.5442E+00 1.6596E+00 4.8488E-02 1.3687E+00 0.4200 0.8864 0.7955 3.5426E-02 5 1.18 2.00 1.0547E-01 1.3823E+00 1.4878E+00 4.3599E-02 1.1959E+00 0.4134 0.8651 0.7745 3.6458E-02 7 1.77 3.00 9.5174E-02 1.2279E+00 1.3231E+00 3.8871E-02 1.0412E+00 0.4084 0.8480 0.7576 3.7333E-02 9 2.36 4.00 8.5124E-02 1.0842E+00 1.1693E+00 3.4430E-02 9.0383E-01 0.4045 0.8336 0.7435 3.8093E-02 11 2.95 5.00 7.5607E-02 9.5270E-01 1.0283E+00 3.0333E-02 7.8253E-01 0.4012 0.8214 0.7315 3.8763E-02 13 3.54 6.00 6.6771E-02 8.3369E-01 9.0046E-01 2.6605E-02 6.7595E-01 0.3984 0.8108 0.7211 3.9359E-02 15 4.13 7.00 5.8688E-02 7.2697E-01 7.8566E-01 2.3245E-02 5.8269E-01 0.3961 0.8015 0.7121 3.9892E-02 17 4.72 8.00 5.1371E-02 6.3195E-01 6.8332E-01 2.0241E-02 5.0136E-01 0.3940 0.7934 0.7041 4.0372E-02 19 5.31 9.00 4.4807E-02 5.4785E-01 5.9266E-01 1.7574E-02 4.3067E-01 0.3922 0.7861 0.6970 4.0805E-02 21 5.90 10.00 3.8958E-02 4.7378E-01 5.1274E-01 1.5218E-02 3.6938E-01 0.3906 0.7796 0.6907 4.1198E-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 0.06782 0.09745 0.09544 0.08860 0.12838 0.12978 0.11979 1.000 1.010 1.005 0.08286 0.10605 0.10443 0.10118 0.13304 0.13421 0.12606 2.000 2.010 2.005 0.09738 0.11500 0.11375 0.11098 0.13687 0.13785 0.13102 3.000 3.010 3.005 0.10759 0.12170 0.12068 0.11834 0.14009 0.14093 0.13507 4.000 4.010 4.005 0.11538 0.12705 0.12620 0.12420 0.14287 0.14361 0.13850 5.000 5.010 5.005 0.12163 0.13151 0.13078 0.12907 0.14531 0.14597 0.14147 6.000 6.010 6.005 0.12680 0.13530 0.13467 0.13320 0.14749 0.14807 0.14409 7.000 7.010 7.005 0.13122 0.13861 0.13806 0.13678 0.14944 0.14996 0.14641 8.000 8.010 8.005 0.13503 0.14151 0.14102 0.13991 0.15120 0.15167 0.14849 9.000 9.010 9.005 0.13837 0.14409 0.14366 0.14269 0.15279 0.15322 0.15037 10.000 10.010 10.005 0.14132 0.14640 0.14601 0.14517 0.15423 0.15462 0.15206 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 4.08154E-01 7.10312E-03 5.98061E-02 6.69092E-02 4.50701E-03 0.146528 9 1 10.0 0.0 180.0 1.78946E-01 7.20421E-03 2.59212E-02 3.31255E-02 4.57115E-03 0.144855 9 4 10.0 45.0 135.0 2.00020E-01 7.17852E-03 2.98679E-02 3.70464E-02 4.55485E-03 0.149324 9 7 10.0 90.0 90.0 2.79306E-01 7.17045E-03 4.52286E-02 5.23991E-02 4.54972E-03 0.161932 8 1 20.0 0.0 180.0 1.06977E-01 7.27141E-03 8.25851E-03 1.55299E-02 4.61378E-03 0.077199 8 4 20.0 45.0 135.0 1.19374E-01 7.20880E-03 1.07027E-02 1.79115E-02 4.57406E-03 0.089657 8 7 20.0 90.0 90.0 1.67759E-01 7.21316E-03 2.18261E-02 2.90392E-02 4.57682E-03 0.130103 7 1 30.0 0.0 180.0 7.53752E-02 7.38208E-03 2.66624E-03 1.00483E-02 4.68400E-03 0.035373 7 4 30.0 45.0 135.0 8.23138E-02 7.38712E-03 3.41168E-03 1.07988E-02 4.68720E-03 0.041447 7 7 30.0 90.0 90.0 1.08205E-01 7.36141E-03 7.23837E-03 1.45998E-02 4.67089E-03 0.066895 6 1 40.0 0.0 180.0 6.19183E-02 7.47737E-03 1.81702E-03 9.29438E-03 4.74447E-03 0.029345 6 4 40.0 45.0 135.0 6.62949E-02 7.47991E-03 2.00000E-03 9.47992E-03 4.74608E-03 0.030168 6 7 40.0 90.0 90.0 8.13825E-02 7.47172E-03 2.92555E-03 1.03973E-02 4.74088E-03 0.035948 5 1 50.0 0.0 180.0 5.73503E-02 7.62800E-03 2.31863E-03 9.94663E-03 4.84005E-03 0.040429 5 4 50.0 45.0 135.0 6.05720E-02 7.59499E-03 2.44560E-03 1.00406E-02 4.81910E-03 0.040375 5 7 50.0 90.0 90.0 7.09211E-02 7.60255E-03 2.90450E-03 1.05070E-02 4.82390E-03 0.040954 4 1 60.0 0.0 180.0 5.94853E-02 7.57932E-03 4.56570E-03 1.21450E-02 4.80916E-03 0.076753 4 4 60.0 45.0 135.0 6.20575E-02 7.54018E-03 4.70733E-03 1.22475E-02 4.78432E-03 0.075854 4 7 60.0 90.0 90.0 7.02122E-02 7.64198E-03 5.27641E-03 1.29184E-02 4.84892E-03 0.075150 3 1 70.0 0.0 180.0 7.13399E-02 7.10863E-03 1.14162E-02 1.85248E-02 4.51050E-03 0.160025 3 4 70.0 45.0 135.0 7.32254E-02 7.14928E-03 1.16882E-02 1.88375E-02 4.53629E-03 0.159619 3 7 70.0 90.0 90.0 7.98586E-02 7.24083E-03 1.27147E-02 1.99555E-02 4.59438E-03 0.159215 2 1 80.0 0.0 180.0 1.06385E-01 6.15139E-03 2.71199E-02 3.32713E-02 3.90312E-03 0.254922 2 4 80.0 45.0 135.0 1.06898E-01 6.17137E-03 2.81480E-02 3.43193E-02 3.91580E-03 0.263315 2 7 80.0 90.0 90.0 1.11146E-01 6.24401E-03 3.01354E-02 3.63794E-02 3.96189E-03 0.271133 1 1 87.5 0.0 180.0 1.60379E-01 5.00614E-03 4.72554E-02 5.22615E-02 3.17645E-03 0.294649 1 4 87.5 45.0 135.0 1.58458E-01 4.77964E-03 5.04319E-02 5.52115E-02 3.03273E-03 0.318267 1 7 87.5 90.0 90.0 1.58163E-01 5.34041E-03 5.31581E-02 5.84986E-02 3.38855E-03 0.336097 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 6.691E-02 4.082E-01 1.063E-01 1.083E-01 1.159E-01 4.245E-02 1.038E+00 7.103E-03 4.507E-03 1 0.00 0.00 1.318E-02 6.456E+00 2.701E-02 2.996E-02 3.364E-02 8.448E-03 4.045E+00 3 0.59 1.00 1.165E-02 5.146E+00 2.585E-02 2.940E-02 3.494E-02 8.514E-03 4.161E+00 5 1.18 2.00 1.025E-02 4.092E+00 2.473E-02 2.834E-02 3.399E-02 8.568E-03 4.255E+00 7 1.77 3.00 8.970E-03 3.250E+00 2.309E-02 2.655E-02 3.196E-02 8.615E-03 4.334E+00 9 2.36 4.00 7.823E-03 2.580E+00 2.121E-02 2.443E-02 2.943E-02 8.655E-03 4.401E+00 11 2.95 5.00 6.801E-03 2.048E+00 1.926E-02 2.220E-02 2.673E-02 8.691E-03 4.460E+00 13 3.54 6.00 5.896E-03 1.627E+00 1.734E-02 1.997E-02 2.400E-02 8.722E-03 4.512E+00 15 4.13 7.00 5.099E-03 1.295E+00 1.551E-02 1.784E-02 2.138E-02 8.750E-03 4.559E+00 17 4.72 8.00 4.400E-03 1.032E+00 1.379E-02 1.583E-02 1.891E-02 8.776E-03 4.600E+00 19 5.31 9.00 3.789E-03 8.236E-01 1.221E-02 1.397E-02 1.662E-02 8.798E-03 4.638E+00 21 5.90 10.00 3.257E-03 6.590E-01 1.076E-02 1.228E-02 1.454E-02 8.818E-03 4.672E+00 Waveband 23 of 40 completed in 3.0 sec. * * * * * Output for wavelength band 24 (580.0 to 590.0 nm; nominal wavelength = 585.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 42.5 m at 585.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 580.0 nm to 590.0 nm: Ed(diffuse) = 3.726E-01 Ed(direct) = 1.166E+00 Ed(total) = 1.538E+00 Absorption Coefficients of Individual Components at 585.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1100 0.0278 0.0027 0.1405 3 0.615 1.000 0.1100 0.0278 0.0027 0.1405 5 1.229 2.000 0.1100 0.0278 0.0027 0.1405 7 1.844 3.000 0.1100 0.0278 0.0027 0.1405 9 2.459 4.000 0.1100 0.0278 0.0027 0.1405 11 3.074 5.000 0.1100 0.0278 0.0027 0.1405 13 3.688 6.000 0.1100 0.0278 0.0027 0.1405 15 4.303 7.000 0.1100 0.0278 0.0027 0.1405 17 4.918 8.000 0.1100 0.0278 0.0027 0.1405 19 5.533 9.000 0.1100 0.0278 0.0027 0.1405 21 6.147 10.000 0.1100 0.0278 0.0027 0.1405 Scattering Coefficients of Individual Components at 585.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0015 0.4727 0.0000 0.4742 3 0.615 1.000 0.0015 0.4727 0.0000 0.4742 5 1.229 2.000 0.0015 0.4727 0.0000 0.4742 7 1.844 3.000 0.0015 0.4727 0.0000 0.4742 9 2.459 4.000 0.0015 0.4727 0.0000 0.4742 11 3.074 5.000 0.0015 0.4727 0.0000 0.4742 13 3.688 6.000 0.0015 0.4727 0.0000 0.4742 15 4.303 7.000 0.0015 0.4727 0.0000 0.4742 17 4.918 8.000 0.0015 0.4727 0.0000 0.4742 19 5.533 9.000 0.0015 0.4727 0.0000 0.4742 21 6.147 10.000 0.0015 0.4727 0.0000 0.4742 Backscattering Coefficients of Individual Components at 585.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00073 0.00945 0.00000 0.01019 3 0.615 1.000 0.00073 0.00945 0.00000 0.01019 5 1.229 2.000 0.00073 0.00945 0.00000 0.01019 7 1.844 3.000 0.00073 0.00945 0.00000 0.01019 9 2.459 4.000 0.00073 0.00945 0.00000 0.01019 11 3.074 5.000 0.00073 0.00945 0.00000 0.01019 13 3.688 6.000 0.00073 0.00945 0.00000 0.01019 15 4.303 7.000 0.00073 0.00945 0.00000 0.01019 17 4.918 8.000 0.00073 0.00945 0.00000 0.01019 19 5.533 9.000 0.00073 0.00945 0.00000 0.01019 21 6.147 10.000 0.00073 0.00945 0.00000 0.01019 Summary of Inherent Optical Properties at 585.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1405 0.4742 0.6147 0.7714 0.01019 0.02148 3 0.615 1.000 0.1405 0.4742 0.6147 0.7714 0.01019 0.02148 5 1.229 2.000 0.1405 0.4742 0.6147 0.7714 0.01019 0.02148 7 1.844 3.000 0.1405 0.4742 0.6147 0.7714 0.01019 0.02148 9 2.459 4.000 0.1405 0.4742 0.6147 0.7714 0.01019 0.02148 11 3.074 5.000 0.1405 0.4742 0.6147 0.7714 0.01019 0.02148 13 3.688 6.000 0.1405 0.4742 0.6147 0.7714 0.01019 0.02148 15 4.303 7.000 0.1405 0.4742 0.6147 0.7714 0.01019 0.02148 17 4.918 8.000 0.1405 0.4742 0.6147 0.7714 0.01019 0.02148 19 5.533 9.000 0.1405 0.4742 0.6147 0.7714 0.01019 0.02148 21 6.147 10.000 0.1405 0.4742 0.6147 0.7714 0.01019 0.02148 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.2861E-01 8 20.00 7.6298E-01 7 30.00 5.6088E-01 6 40.00 3.7777E-01 5 50.00 2.3972E-01 4 60.00 1.4758E-01 3 70.00 9.0601E-02 2 80.00 5.6955E-02 1 87.50 4.0956E-02 1 92.50 3.2807E-02 2 100.00 2.4806E-02 3 110.00 1.8017E-02 4 120.00 1.3823E-02 5 130.00 1.1233E-02 6 140.00 9.6237E-03 7 150.00 8.6303E-03 8 160.00 8.0378E-03 9 170.00 7.7238E-03 10 180.00 7.6141E-03 Asymptotic AOP values are MUu(inf) = 0.3725 MUd(inf) = 0.7445 MU(inf) = 0.6767 R(inf) = 0.0324 Lu(inf)/Ed(inf) = 0.006483 (1/sr) k(inf) = 0.2077 (1/m) absorp(check) = 0.1406 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 585.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.4463E-01 1.8784E+00 2.0230E+00 6.1524E-02 1.5384E+00 0.4254 0.8190 0.7300 3.9992E-02 1 0.00 0.00 8.9820E-02 1.6409E+00 1.7307E+00 3.8109E-02 1.5150E+00 0.4243 0.9233 0.8534 2.5155E-02 3 0.61 1.00 8.0902E-02 1.4319E+00 1.5128E+00 3.3520E-02 1.2831E+00 0.4143 0.8961 0.8260 2.6124E-02 5 1.23 2.00 7.1282E-02 1.2343E+00 1.3056E+00 2.9074E-02 1.0814E+00 0.4079 0.8761 0.8060 2.6887E-02 7 1.84 3.00 6.1966E-02 1.0552E+00 1.1172E+00 2.4984E-02 9.0772E-01 0.4032 0.8602 0.7902 2.7523E-02 9 2.46 4.00 5.3362E-02 8.9652E-01 9.4988E-01 2.1319E-02 7.5947E-01 0.3995 0.8471 0.7771 2.8071E-02 11 3.07 5.00 4.5623E-02 7.5790E-01 8.0353E-01 1.8091E-02 6.3362E-01 0.3965 0.8360 0.7660 2.8552E-02 13 3.69 6.00 3.8781E-02 6.3806E-01 6.7684E-01 1.5281E-02 5.2732E-01 0.3940 0.8264 0.7565 2.8979E-02 15 4.30 7.00 3.2807E-02 5.3525E-01 5.6806E-01 1.2857E-02 4.3788E-01 0.3919 0.8181 0.7482 2.9363E-02 17 4.92 8.00 2.7639E-02 4.4763E-01 4.7526E-01 1.0781E-02 3.6290E-01 0.3901 0.8107 0.7409 2.9709E-02 19 5.53 9.00 2.3203E-02 3.7332E-01 3.9653E-01 9.0138E-03 3.0022E-01 0.3885 0.8042 0.7344 3.0024E-02 21 6.15 10.00 1.9418E-02 3.1060E-01 3.3002E-01 7.5162E-03 2.4797E-01 0.3871 0.7984 0.7286 3.0311E-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 0.09164 0.12940 0.12744 0.11937 0.16317 0.16430 0.15391 1.000 1.010 1.005 0.11772 0.14332 0.14195 0.13646 0.16885 0.16971 0.16152 2.000 2.010 2.005 0.13431 0.15312 0.15209 0.14753 0.17321 0.17392 0.16707 3.000 3.010 3.005 0.14529 0.16015 0.15933 0.15546 0.17678 0.17738 0.17146 4.000 4.010 4.005 0.15341 0.16566 0.16497 0.16162 0.17982 0.18035 0.17512 5.000 5.010 5.005 0.15982 0.17018 0.16960 0.16665 0.18247 0.18293 0.17824 6.000 6.010 6.005 0.16505 0.17401 0.17350 0.17087 0.18481 0.18522 0.18097 7.000 7.010 7.005 0.16948 0.17732 0.17687 0.17450 0.18689 0.18726 0.18337 8.000 8.010 8.005 0.17328 0.18022 0.17981 0.17766 0.18876 0.18910 0.18551 9.000 9.010 9.005 0.17660 0.18279 0.18242 0.18045 0.19044 0.19075 0.18743 10.000 10.010 10.005 0.17951 0.18507 0.18475 0.18293 0.19197 0.19225 0.18916 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 3.94536E-01 5.08374E-03 5.84933E-02 6.35770E-02 3.30454E-03 0.148259 9 1 10.0 0.0 180.0 1.72975E-01 5.16022E-03 2.53331E-02 3.04933E-02 3.35426E-03 0.146455 9 4 10.0 45.0 135.0 1.93348E-01 5.13946E-03 2.91942E-02 3.43337E-02 3.34076E-03 0.150994 9 7 10.0 90.0 90.0 2.69981E-01 5.12802E-03 4.42258E-02 4.93538E-02 3.33332E-03 0.163811 8 1 20.0 0.0 180.0 1.03408E-01 5.20580E-03 8.05312E-03 1.32589E-02 3.38388E-03 0.077877 8 4 20.0 45.0 135.0 1.15391E-01 5.15712E-03 1.04430E-02 1.56001E-02 3.35224E-03 0.090500 8 7 20.0 90.0 90.0 1.62162E-01 5.15111E-03 2.13240E-02 2.64751E-02 3.34833E-03 0.131498 7 1 30.0 0.0 180.0 7.28603E-02 5.28010E-03 2.58613E-03 7.86623E-03 3.43218E-03 0.035494 7 4 30.0 45.0 135.0 7.95673E-02 5.27840E-03 3.31358E-03 8.59198E-03 3.43107E-03 0.041645 7 7 30.0 90.0 90.0 1.04595E-01 5.24769E-03 7.05198E-03 1.22997E-02 3.41111E-03 0.067422 6 1 40.0 0.0 180.0 5.98524E-02 5.33841E-03 1.75684E-03 7.09525E-03 3.47008E-03 0.029353 6 4 40.0 45.0 135.0 6.40830E-02 5.33348E-03 1.93429E-03 7.26777E-03 3.46688E-03 0.030184 6 7 40.0 90.0 90.0 7.86672E-02 5.31224E-03 2.83423E-03 8.14646E-03 3.45307E-03 0.036028 5 1 50.0 0.0 180.0 5.54368E-02 5.43752E-03 2.24132E-03 7.67884E-03 3.53451E-03 0.040430 5 4 50.0 45.0 135.0 5.85510E-02 5.40655E-03 2.36400E-03 7.77055E-03 3.51438E-03 0.040375 5 7 50.0 90.0 90.0 6.85548E-02 5.39534E-03 2.80787E-03 8.20322E-03 3.50709E-03 0.040958 4 1 60.0 0.0 180.0 5.75005E-02 5.39554E-03 4.41336E-03 9.80890E-03 3.50722E-03 0.076753 4 4 60.0 45.0 135.0 5.99870E-02 5.36001E-03 4.55027E-03 9.91028E-03 3.48412E-03 0.075854 4 7 60.0 90.0 90.0 6.78696E-02 5.41556E-03 5.10036E-03 1.05159E-02 3.52023E-03 0.075150 3 1 70.0 0.0 180.0 6.89596E-02 5.05685E-03 1.10353E-02 1.60921E-02 3.28706E-03 0.160025 3 4 70.0 45.0 135.0 7.07822E-02 5.07878E-03 1.12982E-02 1.63770E-02 3.30132E-03 0.159619 3 7 70.0 90.0 90.0 7.71941E-02 5.12916E-03 1.22905E-02 1.74196E-02 3.33406E-03 0.159215 2 1 80.0 0.0 180.0 1.02836E-01 4.37523E-03 2.62151E-02 3.05903E-02 2.84400E-03 0.254922 2 4 80.0 45.0 135.0 1.03332E-01 4.38383E-03 2.72088E-02 3.15926E-02 2.84959E-03 0.263315 2 7 80.0 90.0 90.0 1.07438E-01 4.42425E-03 2.91299E-02 3.35541E-02 2.87586E-03 0.271133 1 1 87.5 0.0 180.0 1.55027E-01 3.56324E-03 4.56787E-02 4.92419E-02 2.31618E-03 0.294649 1 4 87.5 45.0 135.0 1.53171E-01 3.39819E-03 4.87492E-02 5.21474E-02 2.20890E-03 0.318267 1 7 87.5 90.0 90.0 1.52886E-01 3.78930E-03 5.13845E-02 5.51738E-02 2.46313E-03 0.336097 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 6.358E-02 3.945E-01 1.021E-01 1.040E-01 1.113E-01 4.133E-02 9.677E-01 5.084E-03 3.305E-03 1 0.00 0.00 9.433E-03 6.313E+00 1.986E-02 2.214E-02 2.504E-02 6.226E-03 4.040E+00 3 0.61 1.00 8.055E-03 4.877E+00 1.892E-02 2.169E-02 2.605E-02 6.278E-03 4.161E+00 5 1.23 2.00 6.834E-03 3.758E+00 1.747E-02 2.015E-02 2.441E-02 6.320E-03 4.254E+00 7 1.84 3.00 5.770E-03 2.892E+00 1.568E-02 1.815E-02 2.205E-02 6.356E-03 4.330E+00 9 2.46 4.00 4.851E-03 2.224E+00 1.384E-02 1.604E-02 1.949E-02 6.388E-03 4.394E+00 11 3.07 5.00 4.066E-03 1.710E+00 1.208E-02 1.400E-02 1.699E-02 6.416E-03 4.450E+00 13 3.69 6.00 3.397E-03 1.316E+00 1.045E-02 1.210E-02 1.465E-02 6.442E-03 4.498E+00 15 4.30 7.00 2.831E-03 1.014E+00 8.982E-03 1.038E-02 1.253E-02 6.466E-03 4.541E+00 17 4.92 8.00 2.354E-03 7.820E-01 7.677E-03 8.853E-03 1.065E-02 6.488E-03 4.579E+00 19 5.53 9.00 1.954E-03 6.042E-01 6.531E-03 7.512E-03 8.995E-03 6.508E-03 4.613E+00 21 6.15 10.00 1.619E-03 4.677E-01 5.534E-03 6.346E-03 7.562E-03 6.527E-03 4.644E+00 Waveband 24 of 40 completed in 3.1 sec. * * * * * Output for wavelength band 25 (590.0 to 600.0 nm; nominal wavelength = 595.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 40.3 m at 595.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 590.0 nm to 600.0 nm: Ed(diffuse) = 3.558E-01 Ed(direct) = 1.128E+00 Ed(total) = 1.484E+00 Absorption Coefficients of Individual Components at 595.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1672 0.0247 0.0024 0.1943 3 0.660 1.000 0.1672 0.0247 0.0024 0.1943 5 1.321 2.000 0.1672 0.0247 0.0024 0.1943 7 1.981 3.000 0.1672 0.0247 0.0024 0.1943 9 2.642 4.000 0.1672 0.0247 0.0024 0.1943 11 3.302 5.000 0.1672 0.0247 0.0024 0.1943 13 3.963 6.000 0.1672 0.0247 0.0024 0.1943 15 4.623 7.000 0.1672 0.0247 0.0024 0.1943 17 5.283 8.000 0.1672 0.0247 0.0024 0.1943 19 5.944 9.000 0.1672 0.0247 0.0024 0.1943 21 6.604 10.000 0.1672 0.0247 0.0024 0.1943 Scattering Coefficients of Individual Components at 595.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0014 0.4648 0.0000 0.4661 3 0.660 1.000 0.0014 0.4648 0.0000 0.4661 5 1.321 2.000 0.0014 0.4648 0.0000 0.4661 7 1.981 3.000 0.0014 0.4648 0.0000 0.4661 9 2.642 4.000 0.0014 0.4648 0.0000 0.4661 11 3.302 5.000 0.0014 0.4648 0.0000 0.4661 13 3.963 6.000 0.0014 0.4648 0.0000 0.4661 15 4.623 7.000 0.0014 0.4648 0.0000 0.4661 17 5.283 8.000 0.0014 0.4648 0.0000 0.4661 19 5.944 9.000 0.0014 0.4648 0.0000 0.4661 21 6.604 10.000 0.0014 0.4648 0.0000 0.4661 Backscattering Coefficients of Individual Components at 595.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00068 0.00930 0.00000 0.00998 3 0.660 1.000 0.00068 0.00930 0.00000 0.00998 5 1.321 2.000 0.00068 0.00930 0.00000 0.00998 7 1.981 3.000 0.00068 0.00930 0.00000 0.00998 9 2.642 4.000 0.00068 0.00930 0.00000 0.00998 11 3.302 5.000 0.00068 0.00930 0.00000 0.00998 13 3.963 6.000 0.00068 0.00930 0.00000 0.00998 15 4.623 7.000 0.00068 0.00930 0.00000 0.00998 17 5.283 8.000 0.00068 0.00930 0.00000 0.00998 19 5.944 9.000 0.00068 0.00930 0.00000 0.00998 21 6.604 10.000 0.00068 0.00930 0.00000 0.00998 Summary of Inherent Optical Properties at 595.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1943 0.4661 0.6604 0.7058 0.00998 0.02140 3 0.660 1.000 0.1943 0.4661 0.6604 0.7058 0.00998 0.02140 5 1.321 2.000 0.1943 0.4661 0.6604 0.7058 0.00998 0.02140 7 1.981 3.000 0.1943 0.4661 0.6604 0.7058 0.00998 0.02140 9 2.642 4.000 0.1943 0.4661 0.6604 0.7058 0.00998 0.02140 11 3.302 5.000 0.1943 0.4661 0.6604 0.7058 0.00998 0.02140 13 3.963 6.000 0.1943 0.4661 0.6604 0.7058 0.00998 0.02140 15 4.623 7.000 0.1943 0.4661 0.6604 0.7058 0.00998 0.02140 17 5.283 8.000 0.1943 0.4661 0.6604 0.7058 0.00998 0.02140 19 5.944 9.000 0.1943 0.4661 0.6604 0.7058 0.00998 0.02140 21 6.604 10.000 0.1943 0.4661 0.6604 0.7058 0.00998 0.02140 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.1203E-01 8 20.00 7.1521E-01 7 30.00 4.9082E-01 6 40.00 3.0494E-01 5 50.00 1.7820E-01 4 60.00 1.0174E-01 3 70.00 5.8654E-02 2 80.00 3.5128E-02 1 87.50 2.4590E-02 1 92.50 1.9456E-02 2 100.00 1.4511E-02 3 110.00 1.0424E-02 4 120.00 7.9759E-03 5 130.00 6.5019E-03 6 140.00 5.6068E-03 7 150.00 5.0655E-03 8 160.00 4.7487E-03 9 170.00 4.5833E-03 10 180.00 4.5258E-03 Asymptotic AOP values are MUu(inf) = 0.3716 MUd(inf) = 0.7747 MU(inf) = 0.7247 R(inf) = 0.0219 Lu(inf)/Ed(inf) = 0.004472 (1/sr) k(inf) = 0.2681 (1/m) absorp(check) = 0.1943 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 595.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.2937E-01 1.8085E+00 1.9378E+00 5.4331E-02 1.4835E+00 0.4200 0.8203 0.7375 3.6624E-02 1 0.00 0.00 6.0836E-02 1.5612E+00 1.6220E+00 2.5514E-02 1.4547E+00 0.4194 0.9318 0.8811 1.7539E-02 3 0.66 1.00 5.1899E-02 1.2853E+00 1.3372E+00 2.1226E-02 1.1639E+00 0.4090 0.9055 0.8545 1.8237E-02 5 1.32 2.00 4.3094E-02 1.0431E+00 1.0862E+00 1.7368E-02 9.2569E-01 0.4030 0.8874 0.8362 1.8762E-02 7 1.98 3.00 3.5272E-02 8.3919E-01 8.7446E-01 1.4070E-02 7.3297E-01 0.3989 0.8734 0.8221 1.9196E-02 9 2.64 4.00 2.8596E-02 6.7083E-01 6.9943E-01 1.1318E-02 5.7826E-01 0.3958 0.8620 0.8106 1.9573E-02 11 3.30 5.00 2.3020E-02 5.3355E-01 5.5657E-01 9.0543E-03 4.5479E-01 0.3933 0.8524 0.8009 1.9909E-02 13 3.96 6.00 1.8428E-02 4.2261E-01 4.4103E-01 7.2112E-03 3.5672E-01 0.3913 0.8441 0.7925 2.0215E-02 15 4.62 7.00 1.4685E-02 3.3355E-01 3.4823E-01 5.7221E-03 2.7914E-01 0.3896 0.8369 0.7852 2.0499E-02 17 5.28 8.00 1.1658E-02 2.6245E-01 2.7411E-01 4.5263E-03 2.1797E-01 0.3882 0.8305 0.7787 2.0766E-02 19 5.94 9.00 9.2254E-03 2.0595E-01 2.1518E-01 3.5709E-03 1.6989E-01 0.3871 0.8249 0.7729 2.1019E-02 21 6.60 10.00 7.2797E-03 1.6123E-01 1.6851E-01 2.8106E-03 1.3219E-01 0.3861 0.8198 0.7677 2.1262E-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 0.13589 0.18353 0.18174 0.17125 0.21930 0.22016 0.20882 1.000 1.010 1.005 0.17596 0.20311 0.20206 0.19407 0.22636 0.22696 0.21807 2.000 2.010 2.005 0.19431 0.21373 0.21296 0.20627 0.23138 0.23186 0.22413 3.000 3.010 3.005 0.20565 0.22103 0.22041 0.21450 0.23538 0.23579 0.22868 4.000 4.010 4.005 0.21372 0.22663 0.22611 0.22066 0.23873 0.23909 0.23233 5.000 5.010 5.005 0.21994 0.23118 0.23072 0.22556 0.24161 0.24193 0.23535 6.000 6.010 6.005 0.22492 0.23499 0.23457 0.22958 0.24412 0.24442 0.23790 7.000 7.010 7.005 0.22906 0.23827 0.23788 0.23296 0.24635 0.24663 0.24007 8.000 8.010 8.005 0.23256 0.24114 0.24077 0.23585 0.24833 0.24860 0.24193 9.000 9.010 9.005 0.23556 0.24366 0.24331 0.23833 0.25011 0.25036 0.24352 10.000 10.010 10.005 0.23814 0.24590 0.24556 0.24046 0.25171 0.25195 0.24487 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 3.76837E-01 3.42067E-03 5.65117E-02 5.99323E-02 2.30583E-03 0.149963 9 1 10.0 0.0 180.0 1.65215E-01 3.47496E-03 2.44570E-02 2.79319E-02 2.34242E-03 0.148031 9 4 10.0 45.0 135.0 1.84675E-01 3.45924E-03 2.81885E-02 3.16477E-02 2.33182E-03 0.152638 9 7 10.0 90.0 90.0 2.57864E-01 3.44734E-03 4.27183E-02 4.61656E-02 2.32380E-03 0.165662 8 1 20.0 0.0 180.0 9.87687E-02 3.50329E-03 7.75788E-03 1.12612E-02 2.36152E-03 0.078546 8 4 20.0 45.0 135.0 1.10215E-01 3.46766E-03 1.00661E-02 1.35337E-02 2.33750E-03 0.091332 8 7 20.0 90.0 90.0 1.54888E-01 3.45679E-03 2.05802E-02 2.40370E-02 2.33017E-03 0.132872 7 1 30.0 0.0 180.0 6.95918E-02 3.54895E-03 2.47845E-03 6.02740E-03 2.39229E-03 0.035614 7 4 30.0 45.0 135.0 7.59979E-02 3.54384E-03 3.17974E-03 6.72358E-03 2.38885E-03 0.041840 7 7 30.0 90.0 90.0 9.99028E-02 3.51390E-03 6.78749E-03 1.03014E-02 2.36867E-03 0.067941 6 1 40.0 0.0 180.0 5.71674E-02 3.57949E-03 1.67846E-03 5.25795E-03 2.41288E-03 0.029360 6 4 40.0 45.0 135.0 6.12082E-02 3.57107E-03 1.84848E-03 5.41955E-03 2.40721E-03 0.030200 6 7 40.0 90.0 90.0 7.51381E-02 3.54501E-03 2.71300E-03 6.25801E-03 2.38964E-03 0.036107 5 1 50.0 0.0 180.0 5.29499E-02 3.63794E-03 2.14083E-03 5.77877E-03 2.45228E-03 0.040431 5 4 50.0 45.0 135.0 5.59244E-02 3.61149E-03 2.25795E-03 5.86944E-03 2.43445E-03 0.040375 5 7 50.0 90.0 90.0 6.54794E-02 3.59096E-03 2.68218E-03 6.27315E-03 2.42062E-03 0.040962 4 1 60.0 0.0 180.0 5.49211E-02 3.60248E-03 4.21538E-03 7.81786E-03 2.42838E-03 0.076753 4 4 60.0 45.0 135.0 5.72959E-02 3.57274E-03 4.34615E-03 7.91889E-03 2.40834E-03 0.075854 4 7 60.0 90.0 90.0 6.48249E-02 3.59625E-03 4.87156E-03 8.46781E-03 2.42418E-03 0.075150 3 1 70.0 0.0 180.0 6.58661E-02 3.37117E-03 1.05402E-02 1.39114E-02 2.27245E-03 0.160025 3 4 70.0 45.0 135.0 6.76069E-02 3.38019E-03 1.07914E-02 1.41716E-02 2.27854E-03 0.159619 3 7 70.0 90.0 90.0 7.37312E-02 3.40148E-03 1.17391E-02 1.51406E-02 2.29289E-03 0.159215 2 1 80.0 0.0 180.0 9.82223E-02 2.91418E-03 2.50391E-02 2.79532E-02 1.96441E-03 0.254922 2 4 80.0 45.0 135.0 9.86962E-02 2.91526E-03 2.59882E-02 2.89035E-02 1.96514E-03 0.263315 2 7 80.0 90.0 90.0 1.02618E-01 2.93247E-03 2.78231E-02 3.07556E-02 1.97674E-03 0.271133 1 1 87.5 0.0 180.0 1.48073E-01 2.37347E-03 4.36295E-02 4.60030E-02 1.59992E-03 0.294649 1 4 87.5 45.0 135.0 1.46300E-01 2.26028E-03 4.65623E-02 4.88226E-02 1.52362E-03 0.318267 1 7 87.5 90.0 90.0 1.46028E-01 2.51339E-03 4.90794E-02 5.15928E-02 1.69424E-03 0.336097 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 5.993E-02 3.768E-01 9.704E-02 9.881E-02 1.058E-01 4.040E-02 9.065E-01 3.421E-03 2.306E-03 1 0.00 0.00 6.348E-03 6.098E+00 1.372E-02 1.538E-02 1.752E-02 4.364E-03 4.019E+00 3 0.66 1.00 5.126E-03 4.473E+00 1.273E-02 1.471E-02 1.787E-02 4.404E-03 4.141E+00 5 1.32 2.00 4.109E-03 3.272E+00 1.105E-02 1.284E-02 1.569E-02 4.438E-03 4.227E+00 7 1.98 3.00 3.276E-03 2.390E+00 9.300E-03 1.083E-02 1.327E-02 4.469E-03 4.295E+00 9 2.64 4.00 2.601E-03 1.744E+00 7.701E-03 8.976E-03 1.099E-02 4.499E-03 4.351E+00 11 3.30 5.00 2.059E-03 1.273E+00 6.309E-03 7.347E-03 8.982E-03 4.527E-03 4.398E+00 13 3.96 6.00 1.625E-03 9.292E-01 5.126E-03 5.961E-03 7.267E-03 4.556E-03 4.437E+00 15 4.62 7.00 1.280E-03 6.789E-01 4.140E-03 4.804E-03 5.834E-03 4.584E-03 4.472E+00 17 5.28 8.00 1.006E-03 4.965E-01 3.327E-03 3.850E-03 4.655E-03 4.613E-03 4.501E+00 19 5.94 9.00 7.888E-04 3.637E-01 2.663E-03 3.071E-03 3.695E-03 4.643E-03 4.527E+00 21 6.60 10.00 6.179E-04 2.668E-01 2.123E-03 2.440E-03 2.920E-03 4.675E-03 4.549E+00 Waveband 25 of 40 completed in 3.3 sec. * * * * * Output for wavelength band 26 (600.0 to 610.0 nm; nominal wavelength = 605.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 36.8 m at 605.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 600.0 nm to 610.0 nm: Ed(diffuse) = 3.611E-01 Ed(direct) = 1.158E+00 Ed(total) = 1.519E+00 Absorption Coefficients of Individual Components at 605.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2577 0.0278 0.0020 0.2876 3 0.746 1.000 0.2577 0.0278 0.0020 0.2876 5 1.492 2.000 0.2577 0.0278 0.0020 0.2876 7 2.238 3.000 0.2577 0.0278 0.0020 0.2876 9 2.984 4.000 0.2577 0.0278 0.0020 0.2876 11 3.730 5.000 0.2577 0.0278 0.0020 0.2876 13 4.476 6.000 0.2577 0.0278 0.0020 0.2876 15 5.222 7.000 0.2577 0.0278 0.0020 0.2876 17 5.968 8.000 0.2577 0.0278 0.0020 0.2876 19 6.713 9.000 0.2577 0.0278 0.0020 0.2876 21 7.459 10.000 0.2577 0.0278 0.0020 0.2876 Scattering Coefficients of Individual Components at 605.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0013 0.4571 0.0000 0.4584 3 0.746 1.000 0.0013 0.4571 0.0000 0.4584 5 1.492 2.000 0.0013 0.4571 0.0000 0.4584 7 2.238 3.000 0.0013 0.4571 0.0000 0.4584 9 2.984 4.000 0.0013 0.4571 0.0000 0.4584 11 3.730 5.000 0.0013 0.4571 0.0000 0.4584 13 4.476 6.000 0.0013 0.4571 0.0000 0.4584 15 5.222 7.000 0.0013 0.4571 0.0000 0.4584 17 5.968 8.000 0.0013 0.4571 0.0000 0.4584 19 6.713 9.000 0.0013 0.4571 0.0000 0.4584 21 7.459 10.000 0.0013 0.4571 0.0000 0.4584 Backscattering Coefficients of Individual Components at 605.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00063 0.00914 0.00000 0.00978 3 0.746 1.000 0.00063 0.00914 0.00000 0.00978 5 1.492 2.000 0.00063 0.00914 0.00000 0.00978 7 2.238 3.000 0.00063 0.00914 0.00000 0.00978 9 2.984 4.000 0.00063 0.00914 0.00000 0.00978 11 3.730 5.000 0.00063 0.00914 0.00000 0.00978 13 4.476 6.000 0.00063 0.00914 0.00000 0.00978 15 5.222 7.000 0.00063 0.00914 0.00000 0.00978 17 5.968 8.000 0.00063 0.00914 0.00000 0.00978 19 6.713 9.000 0.00063 0.00914 0.00000 0.00978 21 7.459 10.000 0.00063 0.00914 0.00000 0.00978 Summary of Inherent Optical Properties at 605.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2876 0.4584 0.7459 0.6145 0.00978 0.02133 3 0.746 1.000 0.2876 0.4584 0.7459 0.6145 0.00978 0.02133 5 1.492 2.000 0.2876 0.4584 0.7459 0.6145 0.00978 0.02133 7 2.238 3.000 0.2876 0.4584 0.7459 0.6145 0.00978 0.02133 9 2.984 4.000 0.2876 0.4584 0.7459 0.6145 0.00978 0.02133 11 3.730 5.000 0.2876 0.4584 0.7459 0.6145 0.00978 0.02133 13 4.476 6.000 0.2876 0.4584 0.7459 0.6145 0.00978 0.02133 15 5.222 7.000 0.2876 0.4584 0.7459 0.6145 0.00978 0.02133 17 5.968 8.000 0.2876 0.4584 0.7459 0.6145 0.00978 0.02133 19 6.713 9.000 0.2876 0.4584 0.7459 0.6145 0.00978 0.02133 21 7.459 10.000 0.2876 0.4584 0.7459 0.6145 0.00978 0.02133 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.8645E-01 8 20.00 6.4648E-01 7 30.00 4.0009E-01 6 40.00 2.2146E-01 5 50.00 1.1589E-01 4 60.00 6.0288E-02 3 70.00 3.2396E-02 2 80.00 1.8482E-02 1 87.50 1.2630E-02 1 92.50 9.9093E-03 2 100.00 7.3232E-03 3 110.00 5.2343E-03 4 120.00 4.0187E-03 5 130.00 3.3045E-03 6 140.00 2.8812E-03 7 150.00 2.6317E-03 8 160.00 2.4893E-03 9 170.00 2.4165E-03 10 180.00 2.3914E-03 Asymptotic AOP values are MUu(inf) = 0.3735 MUd(inf) = 0.8102 MU(inf) = 0.7763 R(inf) = 0.0136 Lu(inf)/Ed(inf) = 0.002882 (1/sr) k(inf) = 0.3705 (1/m) absorp(check) = 0.2876 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 605.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.2415E-01 1.8486E+00 1.9728E+00 5.1545E-02 1.5186E+00 0.4152 0.8215 0.7437 3.3942E-02 1 0.00 0.00 4.0795E-02 1.5806E+00 1.6214E+00 1.6913E-02 1.4840E+00 0.4146 0.9389 0.9048 1.1397E-02 3 0.75 1.00 3.1530E-02 1.1758E+00 1.2074E+00 1.2752E-02 1.0756E+00 0.4044 0.9148 0.8803 1.1855E-02 5 1.49 2.00 2.3616E-02 8.6060E-01 8.8422E-01 9.4370E-03 7.7413E-01 0.3996 0.8995 0.8648 1.2190E-02 7 2.24 3.00 1.7443E-02 6.2421E-01 6.4165E-01 6.9172E-03 5.5432E-01 0.3966 0.8880 0.8531 1.2479E-02 9 2.98 4.00 1.2775E-02 4.4987E-01 4.6264E-01 5.0395E-03 3.9532E-01 0.3945 0.8787 0.8436 1.2748E-02 11 3.73 5.00 9.3034E-03 3.2261E-01 3.3192E-01 3.6564E-03 2.8098E-01 0.3930 0.8710 0.8355 1.3013E-02 13 4.48 6.00 6.7480E-03 2.3042E-01 2.3717E-01 2.6455E-03 1.9914E-01 0.3920 0.8642 0.8285 1.3285E-02 15 5.22 7.00 4.8809E-03 1.6401E-01 1.6889E-01 1.9108E-03 1.4078E-01 0.3915 0.8584 0.8223 1.3573E-02 17 5.97 8.00 3.5238E-03 1.1638E-01 1.1991E-01 1.3789E-03 9.9294E-02 0.3913 0.8532 0.8166 1.3887E-02 19 6.71 9.00 2.5420E-03 8.2388E-02 8.4930E-02 9.9515E-04 6.9906E-02 0.3915 0.8485 0.8114 1.4235E-02 21 7.46 10.00 1.8337E-03 5.8195E-02 6.0029E-02 7.1886E-04 4.9133E-02 0.3920 0.8443 0.8065 1.4631E-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 0.22178 0.28042 0.27895 0.26470 0.31694 0.31755 0.30424 1.000 1.010 1.005 0.27867 0.30606 0.30534 0.29433 0.32590 0.32628 0.31513 2.000 2.010 2.005 0.29743 0.31729 0.31676 0.30670 0.33171 0.33202 0.32090 3.000 3.010 3.005 0.30786 0.32468 0.32422 0.31411 0.33618 0.33645 0.32454 4.000 4.010 4.005 0.31467 0.33022 0.32979 0.31906 0.33983 0.34010 0.32687 5.000 5.010 5.005 0.31941 0.33467 0.33424 0.32244 0.34293 0.34320 0.32818 6.000 6.010 6.005 0.32275 0.33837 0.33793 0.32467 0.34561 0.34589 0.32861 7.000 7.010 7.005 0.32499 0.34153 0.34105 0.32592 0.34795 0.34825 0.32822 8.000 8.010 8.005 0.32630 0.34425 0.34372 0.32629 0.35001 0.35034 0.32702 9.000 9.010 9.005 0.32675 0.34661 0.34601 0.32582 0.35182 0.35219 0.32500 10.000 10.010 10.005 0.32640 0.34865 0.34797 0.32452 0.35341 0.35384 0.32215 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 3.82371E-01 2.28620E-03 5.79491E-02 6.02353E-02 1.50546E-03 0.151552 9 1 10.0 0.0 180.0 1.67641E-01 2.32430E-03 2.50624E-02 2.73867E-02 1.53055E-03 0.149500 9 4 10.0 45.0 135.0 1.87388E-01 2.31261E-03 2.88898E-02 3.12024E-02 1.52285E-03 0.154171 9 7 10.0 90.0 90.0 2.61645E-01 2.30181E-03 4.37962E-02 4.60980E-02 1.51574E-03 0.167388 8 1 20.0 0.0 180.0 1.00219E-01 2.34144E-03 7.93424E-03 1.02757E-02 1.54184E-03 0.079169 8 4 20.0 45.0 135.0 1.11833E-01 2.31569E-03 1.03005E-02 1.26162E-02 1.52488E-03 0.092106 8 7 20.0 90.0 90.0 1.57162E-01 2.30376E-03 2.10838E-02 2.33875E-02 1.51702E-03 0.134153 7 1 30.0 0.0 180.0 7.06137E-02 2.36872E-03 2.52273E-03 4.89145E-03 1.55980E-03 0.035726 7 4 30.0 45.0 135.0 7.71139E-02 2.36260E-03 3.24044E-03 5.60305E-03 1.55577E-03 0.042021 7 7 30.0 90.0 90.0 1.01370E-01 2.33621E-03 6.93622E-03 9.27243E-03 1.53839E-03 0.068425 6 1 40.0 0.0 180.0 5.80069E-02 2.38261E-03 1.70351E-03 4.08612E-03 1.56895E-03 0.029367 6 4 40.0 45.0 135.0 6.21070E-02 2.37347E-03 1.87653E-03 4.25000E-03 1.56293E-03 0.030214 6 7 40.0 90.0 90.0 7.62415E-02 2.34787E-03 2.75844E-03 5.10631E-03 1.54607E-03 0.036180 5 1 50.0 0.0 180.0 5.37274E-02 2.41521E-03 2.17232E-03 4.58752E-03 1.59041E-03 0.040432 5 4 50.0 45.0 135.0 5.67456E-02 2.39363E-03 2.29111E-03 4.68473E-03 1.57620E-03 0.040375 5 7 50.0 90.0 90.0 6.64410E-02 2.37076E-03 2.72183E-03 5.09259E-03 1.56114E-03 0.040966 4 1 60.0 0.0 180.0 5.57276E-02 2.38564E-03 4.27728E-03 6.66291E-03 1.57094E-03 0.076753 4 4 60.0 45.0 135.0 5.81373E-02 2.36167E-03 4.40997E-03 6.77164E-03 1.55516E-03 0.075854 4 7 60.0 90.0 90.0 6.57768E-02 2.36745E-03 4.94310E-03 7.31055E-03 1.55896E-03 0.075150 3 1 70.0 0.0 180.0 6.68333E-02 2.22758E-03 1.06950E-02 1.29226E-02 1.46686E-03 0.160025 3 4 70.0 45.0 135.0 6.85997E-02 2.22950E-03 1.09498E-02 1.31793E-02 1.46812E-03 0.159619 3 7 70.0 90.0 90.0 7.48139E-02 2.23446E-03 1.19115E-02 1.41460E-02 1.47139E-03 0.159215 2 1 80.0 0.0 180.0 9.96646E-02 1.92269E-03 2.54067E-02 2.73294E-02 1.26609E-03 0.254922 2 4 80.0 45.0 135.0 1.00145E-01 1.91996E-03 2.63698E-02 2.82898E-02 1.26429E-03 0.263315 2 7 80.0 90.0 90.0 1.04125E-01 1.92396E-03 2.82317E-02 3.01556E-02 1.26692E-03 0.271133 1 1 87.5 0.0 180.0 1.50247E-01 1.56498E-03 4.42702E-02 4.58352E-02 1.03054E-03 0.294649 1 4 87.5 45.0 135.0 1.48448E-01 1.48790E-03 4.72460E-02 4.87339E-02 9.79782E-04 0.318267 1 7 87.5 90.0 90.0 1.48172E-01 1.64895E-03 4.98001E-02 5.14490E-02 1.08583E-03 0.336097 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 6.024E-02 3.824E-01 9.804E-02 9.981E-02 1.069E-01 3.966E-02 8.557E-01 2.286E-03 1.505E-03 1 0.00 0.00 4.243E-03 6.252E+00 9.421E-03 1.063E-02 1.218E-02 2.859E-03 3.986E+00 3 0.75 1.00 3.111E-03 4.184E+00 8.127E-03 9.459E-03 1.161E-02 2.892E-03 4.099E+00 5 1.49 2.00 2.263E-03 2.793E+00 6.307E-03 7.375E-03 9.095E-03 2.923E-03 4.170E+00 7 2.24 3.00 1.639E-03 1.861E+00 4.758E-03 5.571E-03 6.875E-03 2.956E-03 4.221E+00 9 2.98 4.00 1.183E-03 1.238E+00 3.538E-03 4.141E-03 5.103E-03 2.993E-03 4.260E+00 11 3.73 5.00 8.526E-04 8.238E-01 2.608E-03 3.047E-03 3.744E-03 3.034E-03 4.289E+00 13 4.48 6.00 6.139E-04 5.481E-01 1.910E-03 2.226E-03 2.724E-03 3.083E-03 4.309E+00 15 5.22 7.00 4.420E-04 3.648E-01 1.393E-03 1.618E-03 1.970E-03 3.140E-03 4.323E+00 17 5.97 8.00 3.185E-04 2.430E-01 1.013E-03 1.171E-03 1.418E-03 3.208E-03 4.329E+00 19 6.71 9.00 2.299E-04 1.620E-01 7.345E-04 8.456E-04 1.017E-03 3.288E-03 4.329E+00 21 7.46 10.00 1.663E-04 1.082E-01 5.318E-04 6.092E-04 7.273E-04 3.385E-03 4.322E+00 Waveband 26 of 40 completed in 3.8 sec. * * * * * Output for wavelength band 27 (610.0 to 620.0 nm; nominal wavelength = 615.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 36.8 m at 615.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 610.0 nm to 620.0 nm: Ed(diffuse) = 3.493E-01 Ed(direct) = 1.132E+00 Ed(total) = 1.482E+00 Absorption Coefficients of Individual Components at 615.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2678 0.0268 0.0018 0.2964 3 0.747 1.000 0.2678 0.0268 0.0018 0.2964 5 1.494 2.000 0.2678 0.0268 0.0018 0.2964 7 2.242 3.000 0.2678 0.0268 0.0018 0.2964 9 2.989 4.000 0.2678 0.0268 0.0018 0.2964 11 3.736 5.000 0.2678 0.0268 0.0018 0.2964 13 4.483 6.000 0.2678 0.0268 0.0018 0.2964 15 5.231 7.000 0.2678 0.0268 0.0018 0.2964 17 5.978 8.000 0.2678 0.0268 0.0018 0.2964 19 6.725 9.000 0.2678 0.0268 0.0018 0.2964 21 7.472 10.000 0.2678 0.0268 0.0018 0.2964 Scattering Coefficients of Individual Components at 615.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0012 0.4497 0.0000 0.4508 3 0.747 1.000 0.0012 0.4497 0.0000 0.4508 5 1.494 2.000 0.0012 0.4497 0.0000 0.4508 7 2.242 3.000 0.0012 0.4497 0.0000 0.4508 9 2.989 4.000 0.0012 0.4497 0.0000 0.4508 11 3.736 5.000 0.0012 0.4497 0.0000 0.4508 13 4.483 6.000 0.0012 0.4497 0.0000 0.4508 15 5.231 7.000 0.0012 0.4497 0.0000 0.4508 17 5.978 8.000 0.0012 0.4497 0.0000 0.4508 19 6.725 9.000 0.0012 0.4497 0.0000 0.4508 21 7.472 10.000 0.0012 0.4497 0.0000 0.4508 Backscattering Coefficients of Individual Components at 615.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00059 0.00899 0.00000 0.00958 3 0.747 1.000 0.00059 0.00899 0.00000 0.00958 5 1.494 2.000 0.00059 0.00899 0.00000 0.00958 7 2.242 3.000 0.00059 0.00899 0.00000 0.00958 9 2.989 4.000 0.00059 0.00899 0.00000 0.00958 11 3.736 5.000 0.00059 0.00899 0.00000 0.00958 13 4.483 6.000 0.00059 0.00899 0.00000 0.00958 15 5.231 7.000 0.00059 0.00899 0.00000 0.00958 17 5.978 8.000 0.00059 0.00899 0.00000 0.00958 19 6.725 9.000 0.00059 0.00899 0.00000 0.00958 21 7.472 10.000 0.00059 0.00899 0.00000 0.00958 Summary of Inherent Optical Properties at 615.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2964 0.4508 0.7472 0.6034 0.00958 0.02126 3 0.747 1.000 0.2964 0.4508 0.7472 0.6034 0.00958 0.02126 5 1.494 2.000 0.2964 0.4508 0.7472 0.6034 0.00958 0.02126 7 2.242 3.000 0.2964 0.4508 0.7472 0.6034 0.00958 0.02126 9 2.989 4.000 0.2964 0.4508 0.7472 0.6034 0.00958 0.02126 11 3.736 5.000 0.2964 0.4508 0.7472 0.6034 0.00958 0.02126 13 4.483 6.000 0.2964 0.4508 0.7472 0.6034 0.00958 0.02126 15 5.231 7.000 0.2964 0.4508 0.7472 0.6034 0.00958 0.02126 17 5.978 8.000 0.2964 0.4508 0.7472 0.6034 0.00958 0.02126 19 6.725 9.000 0.2964 0.4508 0.7472 0.6034 0.00958 0.02126 21 7.472 10.000 0.2964 0.4508 0.7472 0.6034 0.00958 0.02126 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.8307E-01 8 20.00 6.3782E-01 7 30.00 3.8947E-01 6 40.00 2.1248E-01 5 50.00 1.0972E-01 4 60.00 5.6478E-02 3 70.00 3.0120E-02 2 80.00 1.7099E-02 1 87.50 1.1658E-02 1 92.50 9.1399E-03 2 100.00 6.7487E-03 3 110.00 4.8212E-03 4 120.00 3.7026E-03 5 130.00 3.0470E-03 6 140.00 2.6595E-03 7 150.00 2.4317E-03 8 160.00 2.3022E-03 9 170.00 2.2361E-03 10 180.00 2.2134E-03 Asymptotic AOP values are MUu(inf) = 0.3736 MUd(inf) = 0.8141 MU(inf) = 0.7818 R(inf) = 0.0129 Lu(inf)/Ed(inf) = 0.002732 (1/sr) k(inf) = 0.3791 (1/m) absorp(check) = 0.2964 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 615.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.1978E-01 1.8010E+00 1.9208E+00 4.9811E-02 1.4815E+00 0.4158 0.8226 0.7454 3.3622E-02 1 0.00 0.00 3.7772E-02 1.5400E+00 1.5778E+00 1.5633E-02 1.4473E+00 0.4139 0.9398 0.9074 1.0801E-02 3 0.75 1.00 2.8907E-02 1.1348E+00 1.1637E+00 1.1674E-02 1.0398E+00 0.4039 0.9162 0.8835 1.1228E-02 5 1.49 2.00 2.1439E-02 8.2285E-01 8.4428E-01 8.5579E-03 7.4173E-01 0.3992 0.9014 0.8684 1.1538E-02 7 2.24 3.00 1.5685E-02 5.9134E-01 6.0702E-01 6.2147E-03 5.2646E-01 0.3962 0.8903 0.8570 1.1805E-02 9 2.99 4.00 1.1381E-02 4.2231E-01 4.3369E-01 4.4865E-03 3.7217E-01 0.3942 0.8813 0.8478 1.2055E-02 11 3.74 5.00 8.2124E-03 3.0013E-01 3.0834E-01 3.2261E-03 2.6223E-01 0.3928 0.8737 0.8400 1.2303E-02 13 4.48 6.00 5.9034E-03 2.1245E-01 2.1835E-01 2.3137E-03 1.8423E-01 0.3919 0.8672 0.8332 1.2559E-02 15 5.23 7.00 4.2327E-03 1.4988E-01 1.5411E-01 1.6568E-03 1.2912E-01 0.3914 0.8615 0.8271 1.2832E-02 17 5.98 8.00 3.0296E-03 1.0541E-01 1.0844E-01 1.1856E-03 9.0278E-02 0.3913 0.8564 0.8216 1.3132E-02 19 6.73 9.00 2.1674E-03 7.3969E-02 7.6136E-02 8.4874E-04 6.3011E-02 0.3916 0.8519 0.8165 1.3470E-02 21 7.47 10.00 1.5509E-03 5.1791E-02 5.3342E-02 6.0833E-04 4.3906E-02 0.3922 0.8477 0.8117 1.3855E-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 0.23087 0.28982 0.28841 0.27409 0.32582 0.32638 0.31337 1.000 1.010 1.005 0.28860 0.31551 0.31484 0.30391 0.33477 0.33512 0.32425 2.000 2.010 2.005 0.30710 0.32658 0.32609 0.31610 0.34054 0.34083 0.32992 3.000 3.010 3.005 0.31729 0.33384 0.33342 0.32334 0.34497 0.34523 0.33345 4.000 4.010 4.005 0.32391 0.33929 0.33889 0.32812 0.34859 0.34884 0.33563 5.000 5.010 5.005 0.32847 0.34366 0.34326 0.33133 0.35166 0.35191 0.33679 6.000 6.010 6.005 0.33162 0.34731 0.34688 0.33337 0.35431 0.35458 0.33704 7.000 7.010 7.005 0.33367 0.35041 0.34995 0.33442 0.35663 0.35692 0.33642 8.000 8.010 8.005 0.33474 0.35308 0.35257 0.33454 0.35867 0.35900 0.33494 9.000 9.010 9.005 0.33495 0.35540 0.35482 0.33379 0.36047 0.36083 0.33259 10.000 10.010 10.005 0.33430 0.35742 0.35674 0.33214 0.36205 0.36247 0.32933 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 3.69916E-01 2.11322E-03 5.66247E-02 5.87379E-02 1.42641E-03 0.153075 9 1 10.0 0.0 180.0 1.62181E-01 2.14859E-03 2.44743E-02 2.66229E-02 1.45028E-03 0.150907 9 4 10.0 45.0 135.0 1.81285E-01 2.13768E-03 2.82152E-02 3.03529E-02 1.44292E-03 0.155640 9 7 10.0 90.0 90.0 2.53118E-01 2.12745E-03 4.27872E-02 4.49147E-02 1.43602E-03 0.169041 8 1 20.0 0.0 180.0 9.69547E-02 2.16432E-03 7.73367E-03 9.89799E-03 1.46090E-03 0.079766 8 4 20.0 45.0 135.0 1.08190E-01 2.14034E-03 1.00453E-02 1.21856E-02 1.44471E-03 0.092848 8 7 20.0 90.0 90.0 1.52043E-01 2.12892E-03 2.05836E-02 2.27125E-02 1.43701E-03 0.135380 7 1 30.0 0.0 180.0 6.83136E-02 2.18930E-03 2.44786E-03 4.63716E-03 1.47776E-03 0.035833 7 4 30.0 45.0 135.0 7.46021E-02 2.18341E-03 3.14787E-03 5.33129E-03 1.47379E-03 0.042195 7 7 30.0 90.0 90.0 9.80679E-02 2.15849E-03 6.75575E-03 8.91425E-03 1.45697E-03 0.068889 6 1 40.0 0.0 180.0 5.61175E-02 2.20167E-03 1.64839E-03 3.85006E-03 1.48611E-03 0.029374 6 4 40.0 45.0 135.0 6.00840E-02 2.19293E-03 1.81625E-03 4.00917E-03 1.48021E-03 0.030228 6 7 40.0 90.0 90.0 7.37581E-02 2.16863E-03 2.67378E-03 4.84240E-03 1.46381E-03 0.036251 5 1 50.0 0.0 180.0 5.19774E-02 2.23135E-03 2.10161E-03 4.33295E-03 1.50614E-03 0.040433 5 4 50.0 45.0 135.0 5.48973E-02 2.21109E-03 2.21648E-03 4.42757E-03 1.49247E-03 0.040375 5 7 50.0 90.0 90.0 6.42768E-02 2.18929E-03 2.63341E-03 4.82270E-03 1.47776E-03 0.040970 4 1 60.0 0.0 180.0 5.39124E-02 2.20362E-03 4.13796E-03 6.34158E-03 1.48743E-03 0.076753 4 4 60.0 45.0 135.0 5.62436E-02 2.18117E-03 4.26632E-03 6.44749E-03 1.47227E-03 0.075854 4 7 60.0 90.0 90.0 6.36343E-02 2.18584E-03 4.78209E-03 6.96793E-03 1.47542E-03 0.075150 3 1 70.0 0.0 180.0 6.46563E-02 2.05735E-03 1.03467E-02 1.24040E-02 1.38870E-03 0.160025 3 4 70.0 45.0 135.0 6.63652E-02 2.05884E-03 1.05932E-02 1.26520E-02 1.38970E-03 0.159619 3 7 70.0 90.0 90.0 7.23770E-02 2.06289E-03 1.15235E-02 1.35864E-02 1.39244E-03 0.159215 2 1 80.0 0.0 180.0 9.64183E-02 1.77563E-03 2.45792E-02 2.63548E-02 1.19854E-03 0.254922 2 4 80.0 45.0 135.0 9.68835E-02 1.77290E-03 2.55109E-02 2.72838E-02 1.19670E-03 0.263315 2 7 80.0 90.0 90.0 1.00733E-01 1.77623E-03 2.73121E-02 2.90883E-02 1.19894E-03 0.271133 1 1 87.5 0.0 180.0 1.45353E-01 1.44532E-03 4.28282E-02 4.42735E-02 9.75580E-04 0.294649 1 4 87.5 45.0 135.0 1.43613E-01 1.37400E-03 4.57071E-02 4.70811E-02 9.27444E-04 0.318267 1 7 87.5 90.0 90.0 1.43346E-01 1.52254E-03 4.81780E-02 4.97005E-02 1.02770E-03 0.336097 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 5.874E-02 3.699E-01 9.481E-02 9.652E-02 1.033E-01 3.965E-02 8.480E-01 2.113E-03 1.426E-03 1 0.00 0.00 3.922E-03 6.108E+00 8.746E-03 9.878E-03 1.134E-02 2.710E-03 3.986E+00 3 0.75 1.00 2.849E-03 4.060E+00 7.486E-03 8.724E-03 1.072E-02 2.740E-03 4.097E+00 5 1.49 2.00 2.054E-03 2.691E+00 5.747E-03 6.728E-03 8.309E-03 2.769E-03 4.166E+00 7 2.24 3.00 1.474E-03 1.781E+00 4.291E-03 5.030E-03 6.216E-03 2.800E-03 4.216E+00 9 2.99 4.00 1.055E-03 1.177E+00 3.159E-03 3.701E-03 4.569E-03 2.834E-03 4.253E+00 11 3.74 5.00 7.536E-04 7.776E-01 2.306E-03 2.697E-03 3.320E-03 2.874E-03 4.281E+00 13 4.48 6.00 5.380E-04 5.137E-01 1.674E-03 1.952E-03 2.393E-03 2.920E-03 4.300E+00 15 5.23 7.00 3.842E-04 3.395E-01 1.209E-03 1.406E-03 1.714E-03 2.976E-03 4.312E+00 17 5.98 8.00 2.746E-04 2.245E-01 8.712E-04 1.009E-03 1.223E-03 3.042E-03 4.318E+00 19 6.73 9.00 1.967E-04 1.486E-01 6.263E-04 7.219E-04 8.693E-04 3.121E-03 4.316E+00 21 7.47 10.00 1.412E-04 9.851E-02 4.497E-04 5.156E-04 6.165E-04 3.217E-03 4.307E+00 Waveband 27 of 40 completed in 3.7 sec. * * * * * Output for wavelength band 28 (620.0 to 630.0 nm; nominal wavelength = 625.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 36.4 m at 625.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 620.0 nm to 630.0 nm: Ed(diffuse) = 3.429E-01 Ed(direct) = 1.123E+00 Ed(total) = 1.466E+00 Absorption Coefficients of Individual Components at 625.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2834 0.0299 0.0015 0.3148 3 0.758 1.000 0.2834 0.0299 0.0015 0.3148 5 1.517 2.000 0.2834 0.0299 0.0015 0.3148 7 2.275 3.000 0.2834 0.0299 0.0015 0.3148 9 3.034 4.000 0.2834 0.0299 0.0015 0.3148 11 3.792 5.000 0.2834 0.0299 0.0015 0.3148 13 4.550 6.000 0.2834 0.0299 0.0015 0.3148 15 5.309 7.000 0.2834 0.0299 0.0015 0.3148 17 6.067 8.000 0.2834 0.0299 0.0015 0.3148 19 6.826 9.000 0.2834 0.0299 0.0015 0.3148 21 7.584 10.000 0.2834 0.0299 0.0015 0.3148 Scattering Coefficients of Individual Components at 625.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0011 0.4425 0.0000 0.4436 3 0.758 1.000 0.0011 0.4425 0.0000 0.4436 5 1.517 2.000 0.0011 0.4425 0.0000 0.4436 7 2.275 3.000 0.0011 0.4425 0.0000 0.4436 9 3.034 4.000 0.0011 0.4425 0.0000 0.4436 11 3.792 5.000 0.0011 0.4425 0.0000 0.4436 13 4.550 6.000 0.0011 0.4425 0.0000 0.4436 15 5.309 7.000 0.0011 0.4425 0.0000 0.4436 17 6.067 8.000 0.0011 0.4425 0.0000 0.4436 19 6.826 9.000 0.0011 0.4425 0.0000 0.4436 21 7.584 10.000 0.0011 0.4425 0.0000 0.4436 Backscattering Coefficients of Individual Components at 625.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00055 0.00885 0.00000 0.00940 3 0.758 1.000 0.00055 0.00885 0.00000 0.00940 5 1.517 2.000 0.00055 0.00885 0.00000 0.00940 7 2.275 3.000 0.00055 0.00885 0.00000 0.00940 9 3.034 4.000 0.00055 0.00885 0.00000 0.00940 11 3.792 5.000 0.00055 0.00885 0.00000 0.00940 13 4.550 6.000 0.00055 0.00885 0.00000 0.00940 15 5.309 7.000 0.00055 0.00885 0.00000 0.00940 17 6.067 8.000 0.00055 0.00885 0.00000 0.00940 19 6.826 9.000 0.00055 0.00885 0.00000 0.00940 21 7.584 10.000 0.00055 0.00885 0.00000 0.00940 Summary of Inherent Optical Properties at 625.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3148 0.4436 0.7584 0.5849 0.00940 0.02119 3 0.758 1.000 0.3148 0.4436 0.7584 0.5849 0.00940 0.02119 5 1.517 2.000 0.3148 0.4436 0.7584 0.5849 0.00940 0.02119 7 2.275 3.000 0.3148 0.4436 0.7584 0.5849 0.00940 0.02119 9 3.034 4.000 0.3148 0.4436 0.7584 0.5849 0.00940 0.02119 11 3.792 5.000 0.3148 0.4436 0.7584 0.5849 0.00940 0.02119 13 4.550 6.000 0.3148 0.4436 0.7584 0.5849 0.00940 0.02119 15 5.309 7.000 0.3148 0.4436 0.7584 0.5849 0.00940 0.02119 17 6.067 8.000 0.3148 0.4436 0.7584 0.5849 0.00940 0.02119 19 6.826 9.000 0.3148 0.4436 0.7584 0.5849 0.00940 0.02119 21 7.584 10.000 0.3148 0.4436 0.7584 0.5849 0.00940 0.02119 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.7727E-01 8 20.00 6.2323E-01 7 30.00 3.7196E-01 6 40.00 1.9804E-01 5 50.00 1.0005E-01 4 60.00 5.0625E-02 3 70.00 2.6681E-02 2 80.00 1.5034E-02 1 87.50 1.0216E-02 1 92.50 8.0023E-03 2 100.00 5.9029E-03 3 110.00 4.2156E-03 4 120.00 3.2406E-03 5 130.00 2.6714E-03 6 140.00 2.3364E-03 7 150.00 2.1405E-03 8 160.00 2.0296E-03 9 170.00 1.9733E-03 10 180.00 1.9540E-03 Asymptotic AOP values are MUu(inf) = 0.3741 MUd(inf) = 0.8206 MU(inf) = 0.7906 R(inf) = 0.0117 Lu(inf)/Ed(inf) = 0.002510 (1/sr) k(inf) = 0.3983 (1/m) absorp(check) = 0.3149 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 625.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.1691E-01 1.7797E+00 1.8966E+00 4.8648E-02 1.4658E+00 0.4161 0.8236 0.7472 3.3189E-02 1 0.00 0.00 3.4408E-02 1.5211E+00 1.5555E+00 1.4207E-02 1.4314E+00 0.4129 0.9410 0.9111 9.9255E-03 3 0.76 1.00 2.5803E-02 1.0987E+00 1.1245E+00 1.0401E-02 1.0088E+00 0.4031 0.9182 0.8879 1.0310E-02 5 1.52 2.00 1.8750E-02 7.8091E-01 7.9966E-01 7.4748E-03 7.0597E-01 0.3986 0.9040 0.8735 1.0588E-02 7 2.28 3.00 1.3446E-02 5.5018E-01 5.6363E-01 5.3233E-03 4.9155E-01 0.3959 0.8934 0.8627 1.0830E-02 9 3.03 4.00 9.5669E-03 3.8525E-01 3.9481E-01 3.7702E-03 3.4089E-01 0.3941 0.8849 0.8539 1.1060E-02 11 3.79 5.00 6.7724E-03 2.6847E-01 2.7524E-01 2.6608E-03 2.3562E-01 0.3929 0.8776 0.8464 1.1293E-02 13 4.55 6.00 4.7782E-03 1.8636E-01 1.9114E-01 1.8739E-03 1.6240E-01 0.3922 0.8714 0.8398 1.1539E-02 15 5.31 7.00 3.3644E-03 1.2894E-01 1.3230E-01 1.3186E-03 1.1165E-01 0.3919 0.8660 0.8340 1.1809E-02 17 6.07 8.00 2.3668E-03 8.8958E-02 9.1325E-02 9.2796E-04 7.6601E-02 0.3921 0.8611 0.8286 1.2114E-02 19 6.83 9.00 1.6652E-03 6.1225E-02 6.2891E-02 6.5388E-04 5.2453E-02 0.3927 0.8567 0.8236 1.2466E-02 21 7.58 10.00 1.1731E-03 4.2050E-02 4.3223E-02 4.6184E-04 3.5858E-02 0.3937 0.8527 0.8189 1.2880E-02 K-functions (units of 1/meter) at 625.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.24952 0.30938 0.30805 0.29338 0.34485 0.34536 0.33244 1.000 1.010 1.005 0.30917 0.33554 0.33493 0.32386 0.35396 0.35427 0.34340 2.000 2.010 2.005 0.32732 0.34648 0.34603 0.33578 0.35975 0.36001 0.34884 3.000 3.010 3.005 0.33710 0.35361 0.35322 0.34266 0.36417 0.36440 0.35205 4.000 4.010 4.005 0.34330 0.35896 0.35858 0.34704 0.36778 0.36801 0.35382 5.000 5.010 5.005 0.34740 0.36324 0.36285 0.34978 0.37083 0.37107 0.35445 6.000 6.010 6.005 0.35005 0.36681 0.36639 0.35125 0.37347 0.37373 0.35403 7.000 7.010 7.005 0.35148 0.36984 0.36937 0.35160 0.37578 0.37606 0.35258 8.000 8.010 8.005 0.35184 0.37245 0.37192 0.35087 0.37780 0.37813 0.35007 9.000 9.010 9.005 0.35115 0.37471 0.37409 0.34908 0.37957 0.37995 0.34646 10.000 10.010 10.005 0.34940 0.37665 0.37591 0.34618 0.38112 0.38157 0.34170 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 3.63114E-01 1.92196E-03 5.61105E-02 5.80324E-02 1.31118E-03 0.154526 9 1 10.0 0.0 180.0 1.59199E-01 1.95435E-03 2.42379E-02 2.61922E-02 1.33329E-03 0.152249 9 4 10.0 45.0 135.0 1.77952E-01 1.94428E-03 2.79457E-02 2.98899E-02 1.32641E-03 0.157040 9 7 10.0 90.0 90.0 2.48459E-01 1.93462E-03 4.23913E-02 4.43259E-02 1.31982E-03 0.170617 8 1 20.0 0.0 180.0 9.51721E-02 1.96845E-03 7.64563E-03 9.61408E-03 1.34290E-03 0.080335 8 4 20.0 45.0 135.0 1.06201E-01 1.94639E-03 9.93573E-03 1.18821E-02 1.32785E-03 0.093556 8 7 20.0 90.0 90.0 1.49247E-01 1.93541E-03 2.03797E-02 2.23151E-02 1.32036E-03 0.136550 7 1 30.0 0.0 180.0 6.70576E-02 1.99079E-03 2.40969E-03 4.40048E-03 1.35814E-03 0.035935 7 4 30.0 45.0 135.0 7.32305E-02 1.98509E-03 3.10214E-03 5.08723E-03 1.35425E-03 0.042361 7 7 30.0 90.0 90.0 9.62648E-02 1.96162E-03 6.67408E-03 8.63570E-03 1.33824E-03 0.069330 6 1 40.0 0.0 180.0 5.50857E-02 2.00125E-03 1.61843E-03 3.61968E-03 1.36528E-03 0.029380 6 4 40.0 45.0 135.0 5.89793E-02 1.99286E-03 1.78364E-03 3.77650E-03 1.35955E-03 0.030242 6 7 40.0 90.0 90.0 7.24020E-02 1.96974E-03 2.62947E-03 4.59921E-03 1.34379E-03 0.036318 5 1 50.0 0.0 180.0 5.10217E-02 2.02747E-03 2.06301E-03 4.09048E-03 1.38317E-03 0.040434 5 4 50.0 45.0 135.0 5.38879E-02 2.00857E-03 2.17573E-03 4.18429E-03 1.37027E-03 0.040375 5 7 50.0 90.0 90.0 6.30950E-02 1.98764E-03 2.58521E-03 4.57285E-03 1.35599E-03 0.040973 4 1 60.0 0.0 180.0 5.29211E-02 2.00156E-03 4.06188E-03 6.06343E-03 1.36549E-03 0.076753 4 4 60.0 45.0 135.0 5.52095E-02 1.98064E-03 4.18788E-03 6.16852E-03 1.35122E-03 0.075854 4 7 60.0 90.0 90.0 6.24643E-02 1.98373E-03 4.69417E-03 6.67790E-03 1.35333E-03 0.075150 3 1 70.0 0.0 180.0 6.34676E-02 1.86813E-03 1.01564E-02 1.20246E-02 1.27447E-03 0.160025 3 4 70.0 45.0 135.0 6.51450E-02 1.86901E-03 1.03984E-02 1.22674E-02 1.27506E-03 0.159619 3 7 70.0 90.0 90.0 7.10463E-02 1.87167E-03 1.13116E-02 1.31833E-02 1.27688E-03 0.159215 2 1 80.0 0.0 180.0 9.46456E-02 1.61200E-03 2.41273E-02 2.57393E-02 1.09973E-03 0.254922 2 4 80.0 45.0 135.0 9.51022E-02 1.60913E-03 2.50419E-02 2.66510E-02 1.09777E-03 0.263315 2 7 80.0 90.0 90.0 9.88813E-02 1.61138E-03 2.68099E-02 2.84213E-02 1.09931E-03 0.271133 1 1 87.5 0.0 180.0 1.42681E-01 1.31205E-03 4.20408E-02 4.33528E-02 8.95095E-04 0.294649 1 4 87.5 45.0 135.0 1.40972E-01 1.24705E-03 4.48667E-02 4.61138E-02 8.50753E-04 0.318267 1 7 87.5 90.0 90.0 1.40710E-01 1.38133E-03 4.72922E-02 4.86735E-02 9.42362E-04 0.336097 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 5.803E-02 3.631E-01 9.302E-02 9.469E-02 1.014E-01 3.959E-02 8.383E-01 1.922E-03 1.311E-03 1 0.00 0.00 3.567E-03 6.052E+00 8.004E-03 9.052E-03 1.041E-02 2.492E-03 3.983E+00 3 0.76 1.00 2.542E-03 3.956E+00 6.732E-03 7.858E-03 9.680E-03 2.520E-03 4.091E+00 5 1.52 2.00 1.798E-03 2.579E+00 5.055E-03 5.926E-03 7.332E-03 2.547E-03 4.157E+00 7 2.28 3.00 1.266E-03 1.678E+00 3.694E-03 4.336E-03 5.368E-03 2.577E-03 4.203E+00 9 3.03 4.00 8.898E-04 1.091E+00 2.664E-03 3.125E-03 3.864E-03 2.610E-03 4.237E+00 11 3.79 5.00 6.244E-04 7.087E-01 1.906E-03 2.232E-03 2.751E-03 2.650E-03 4.261E+00 13 4.55 6.00 4.381E-04 4.604E-01 1.356E-03 1.584E-03 1.943E-03 2.698E-03 4.277E+00 15 5.31 7.00 3.077E-04 2.991E-01 9.614E-04 1.119E-03 1.365E-03 2.756E-03 4.286E+00 17 6.07 8.00 2.165E-04 1.945E-01 6.799E-04 7.876E-04 9.556E-04 2.826E-03 4.286E+00 19 6.83 9.00 1.528E-04 1.266E-01 4.800E-04 5.533E-04 6.668E-04 2.913E-03 4.279E+00 21 7.58 10.00 1.083E-04 8.245E-02 3.387E-04 3.883E-04 4.644E-04 3.021E-03 4.264E+00 Waveband 28 of 40 completed in 3.8 sec. * * * * * Output for wavelength band 29 (630.0 to 640.0 nm; nominal wavelength = 635.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 35.9 m at 635.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 630.0 nm to 640.0 nm: Ed(diffuse) = 3.359E-01 Ed(direct) = 1.111E+00 Ed(total) = 1.447E+00 Absorption Coefficients of Individual Components at 635.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3012 0.0340 0.0013 0.3366 3 0.773 1.000 0.3012 0.0340 0.0013 0.3366 5 1.546 2.000 0.3012 0.0340 0.0013 0.3366 7 2.319 3.000 0.3012 0.0340 0.0013 0.3366 9 3.092 4.000 0.3012 0.0340 0.0013 0.3366 11 3.865 5.000 0.3012 0.0340 0.0013 0.3366 13 4.639 6.000 0.3012 0.0340 0.0013 0.3366 15 5.412 7.000 0.3012 0.0340 0.0013 0.3366 17 6.185 8.000 0.3012 0.0340 0.0013 0.3366 19 6.958 9.000 0.3012 0.0340 0.0013 0.3366 21 7.731 10.000 0.3012 0.0340 0.0013 0.3366 Scattering Coefficients of Individual Components at 635.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0010 0.4355 0.0000 0.4365 3 0.773 1.000 0.0010 0.4355 0.0000 0.4365 5 1.546 2.000 0.0010 0.4355 0.0000 0.4365 7 2.319 3.000 0.0010 0.4355 0.0000 0.4365 9 3.092 4.000 0.0010 0.4355 0.0000 0.4365 11 3.865 5.000 0.0010 0.4355 0.0000 0.4365 13 4.639 6.000 0.0010 0.4355 0.0000 0.4365 15 5.412 7.000 0.0010 0.4355 0.0000 0.4365 17 6.185 8.000 0.0010 0.4355 0.0000 0.4365 19 6.958 9.000 0.0010 0.4355 0.0000 0.4365 21 7.731 10.000 0.0010 0.4355 0.0000 0.4365 Backscattering Coefficients of Individual Components at 635.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00051 0.00871 0.00000 0.00922 3 0.773 1.000 0.00051 0.00871 0.00000 0.00922 5 1.546 2.000 0.00051 0.00871 0.00000 0.00922 7 2.319 3.000 0.00051 0.00871 0.00000 0.00922 9 3.092 4.000 0.00051 0.00871 0.00000 0.00922 11 3.865 5.000 0.00051 0.00871 0.00000 0.00922 13 4.639 6.000 0.00051 0.00871 0.00000 0.00922 15 5.412 7.000 0.00051 0.00871 0.00000 0.00922 17 6.185 8.000 0.00051 0.00871 0.00000 0.00922 19 6.958 9.000 0.00051 0.00871 0.00000 0.00922 21 7.731 10.000 0.00051 0.00871 0.00000 0.00922 Summary of Inherent Optical Properties at 635.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3366 0.4365 0.7731 0.5646 0.00922 0.02113 3 0.773 1.000 0.3366 0.4365 0.7731 0.5646 0.00922 0.02113 5 1.546 2.000 0.3366 0.4365 0.7731 0.5646 0.00922 0.02113 7 2.319 3.000 0.3366 0.4365 0.7731 0.5646 0.00922 0.02113 9 3.092 4.000 0.3366 0.4365 0.7731 0.5646 0.00922 0.02113 11 3.865 5.000 0.3366 0.4365 0.7731 0.5646 0.00922 0.02113 13 4.639 6.000 0.3366 0.4365 0.7731 0.5646 0.00922 0.02113 15 5.412 7.000 0.3366 0.4365 0.7731 0.5646 0.00922 0.02113 17 6.185 8.000 0.3366 0.4365 0.7731 0.5646 0.00922 0.02113 19 6.958 9.000 0.3366 0.4365 0.7731 0.5646 0.00922 0.02113 21 7.731 10.000 0.3366 0.4365 0.7731 0.5646 0.00922 0.02113 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.7067E-01 8 20.00 6.0697E-01 7 30.00 3.5306E-01 6 40.00 1.8296E-01 5 50.00 9.0256E-02 4 60.00 4.4847E-02 3 70.00 2.3351E-02 2 80.00 1.3061E-02 1 87.50 8.8474E-03 1 92.50 6.9256E-03 2 100.00 5.1046E-03 3 110.00 3.6453E-03 4 120.00 2.8057E-03 5 130.00 2.3175E-03 6 140.00 2.0315E-03 7 150.00 1.8651E-03 8 160.00 1.7715E-03 9 170.00 1.7243E-03 10 180.00 1.7081E-03 Asymptotic AOP values are MUu(inf) = 0.3748 MUd(inf) = 0.8274 MU(inf) = 0.7998 R(inf) = 0.0107 Lu(inf)/Ed(inf) = 0.002293 (1/sr) k(inf) = 0.4209 (1/m) absorp(check) = 0.3366 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 635.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.1388E-01 1.7548E+00 1.8686E+00 4.7419E-02 1.4471E+00 0.4164 0.8247 0.7490 3.2769E-02 1 0.00 0.00 3.1104E-02 1.4991E+00 1.5302E+00 1.2815E-02 1.4125E+00 0.4120 0.9422 0.9147 9.0725E-03 3 0.77 1.00 2.2778E-02 1.0577E+00 1.0805E+00 9.1670E-03 9.7328E-01 0.4024 0.9202 0.8923 9.4187E-03 5 1.55 2.00 1.6165E-02 7.3433E-01 7.5049E-01 6.4381E-03 6.6583E-01 0.3983 0.9067 0.8786 9.6694E-03 7 2.32 3.00 1.1326E-02 5.0544E-01 5.1677E-01 4.4831E-03 4.5321E-01 0.3958 0.8967 0.8683 9.8921E-03 9 3.09 4.00 7.8796E-03 3.4580E-01 3.5368E-01 3.1065E-03 3.0726E-01 0.3943 0.8885 0.8600 1.0111E-02 11 3.87 5.00 5.4577E-03 2.3548E-01 2.4094E-01 2.1467E-03 2.0762E-01 0.3933 0.8817 0.8528 1.0340E-02 13 4.64 6.00 3.7708E-03 1.5975E-01 1.6352E-01 1.4818E-03 1.3990E-01 0.3930 0.8758 0.8465 1.0592E-02 15 5.41 7.00 2.6024E-03 1.0801E-01 1.1061E-01 1.0230E-03 9.4025E-02 0.3931 0.8705 0.8408 1.0880E-02 17 6.18 8.00 1.7969E-03 7.2835E-02 7.4632E-02 7.0759E-04 6.3067E-02 0.3938 0.8659 0.8356 1.1220E-02 19 6.96 9.00 1.2430E-03 4.9002E-02 5.0245E-02 4.9096E-04 4.2223E-02 0.3950 0.8617 0.8306 1.1628E-02 21 7.73 10.00 8.6257E-04 3.2902E-02 3.3764E-02 3.4225E-04 2.8223E-02 0.3968 0.8578 0.8257 1.2127E-02 K-functions (units of 1/meter) at 635.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.27156 0.33241 0.33117 0.31595 0.36730 0.36777 0.35464 1.000 1.010 1.005 0.33313 0.35907 0.35852 0.34705 0.37660 0.37688 0.36555 2.000 2.010 2.005 0.35077 0.36987 0.36946 0.35854 0.38241 0.38265 0.37057 3.000 3.010 3.005 0.35993 0.37686 0.37649 0.36484 0.38682 0.38704 0.37318 4.000 4.010 4.005 0.36547 0.38209 0.38172 0.36851 0.39042 0.39064 0.37416 5.000 5.010 5.005 0.36882 0.38628 0.38589 0.37039 0.39346 0.39370 0.37375 6.000 6.010 6.005 0.37051 0.38976 0.38931 0.37078 0.39608 0.39635 0.37200 7.000 7.010 7.005 0.37079 0.39271 0.39219 0.36976 0.39836 0.39867 0.36886 8.000 8.010 8.005 0.36971 0.39524 0.39462 0.36733 0.40035 0.40072 0.36425 9.000 9.010 9.005 0.36721 0.39740 0.39665 0.36342 0.40208 0.40253 0.35809 10.000 10.010 10.005 0.36327 0.39923 0.39831 0.35796 0.40357 0.40413 0.35030 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 3.55753E-01 1.73552E-03 5.54724E-02 5.72080E-02 1.19934E-03 0.155930 9 1 10.0 0.0 180.0 1.55972E-01 1.76497E-03 2.39489E-02 2.57139E-02 1.21969E-03 0.153547 9 4 10.0 45.0 135.0 1.74345E-01 1.75574E-03 2.76154E-02 2.93711E-02 1.21331E-03 0.158395 9 7 10.0 90.0 90.0 2.43417E-01 1.74668E-03 4.19023E-02 4.36490E-02 1.20705E-03 0.172142 8 1 20.0 0.0 180.0 9.32426E-02 1.77747E-03 7.54196E-03 9.31944E-03 1.22833E-03 0.080885 8 4 20.0 45.0 135.0 1.04048E-01 1.75733E-03 9.80552E-03 1.15628E-02 1.21441E-03 0.094240 8 7 20.0 90.0 90.0 1.46222E-01 1.74687E-03 2.01320E-02 2.18789E-02 1.20719E-03 0.137682 7 1 30.0 0.0 180.0 6.56981E-02 1.79725E-03 2.36732E-03 4.16457E-03 1.24200E-03 0.036033 7 4 30.0 45.0 135.0 7.17458E-02 1.79178E-03 3.05076E-03 4.84255E-03 1.23822E-03 0.042522 7 7 30.0 90.0 90.0 9.43132E-02 1.76985E-03 6.57910E-03 8.34896E-03 1.22307E-03 0.069758 6 1 40.0 0.0 180.0 5.39689E-02 1.80590E-03 1.58595E-03 3.39185E-03 1.24798E-03 0.029386 6 4 40.0 45.0 135.0 5.77836E-02 1.79791E-03 1.74822E-03 3.54614E-03 1.24246E-03 0.030255 6 7 40.0 90.0 90.0 7.09341E-02 1.77611E-03 2.58076E-03 4.35687E-03 1.22739E-03 0.036383 5 1 50.0 0.0 180.0 4.99873E-02 1.82878E-03 2.02123E-03 3.85001E-03 1.26379E-03 0.040435 5 4 50.0 45.0 135.0 5.27954E-02 1.81127E-03 2.13162E-03 3.94288E-03 1.25169E-03 0.040375 5 7 50.0 90.0 90.0 6.18158E-02 1.79135E-03 2.53301E-03 4.32436E-03 1.23792E-03 0.040977 4 1 60.0 0.0 180.0 5.18482E-02 1.80466E-03 3.97953E-03 5.78419E-03 1.24712E-03 0.076753 4 4 60.0 45.0 135.0 5.40902E-02 1.78531E-03 4.10298E-03 5.88829E-03 1.23375E-03 0.075854 4 7 60.0 90.0 90.0 6.11979E-02 1.78702E-03 4.59900E-03 6.38601E-03 1.23493E-03 0.075150 3 1 70.0 0.0 180.0 6.21808E-02 1.68375E-03 9.95051E-03 1.16343E-02 1.16356E-03 0.160025 3 4 70.0 45.0 135.0 6.38243E-02 1.68408E-03 1.01876E-02 1.18717E-02 1.16380E-03 0.159619 3 7 70.0 90.0 90.0 6.96059E-02 1.68550E-03 1.10823E-02 1.27678E-02 1.16478E-03 0.159215 2 1 80.0 0.0 180.0 9.27267E-02 1.45251E-03 2.36381E-02 2.50906E-02 1.00377E-03 0.254922 2 4 80.0 45.0 135.0 9.31741E-02 1.44955E-03 2.45342E-02 2.59837E-02 1.00172E-03 0.263315 2 7 80.0 90.0 90.0 9.68766E-02 1.45083E-03 2.62664E-02 2.77172E-02 1.00260E-03 0.271133 1 1 87.5 0.0 180.0 1.39788E-01 1.18210E-03 4.11884E-02 4.23705E-02 8.16898E-04 0.294649 1 4 87.5 45.0 135.0 1.38114E-01 1.12328E-03 4.39571E-02 4.50804E-02 7.76253E-04 0.318267 1 7 87.5 90.0 90.0 1.37857E-01 1.24370E-03 4.63334E-02 4.75771E-02 8.59470E-04 0.336097 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 5.721E-02 3.558E-01 9.108E-02 9.272E-02 9.928E-02 3.953E-02 8.289E-01 1.736E-03 1.199E-03 1 0.00 0.00 3.221E-03 5.983E+00 7.269E-03 8.235E-03 9.485E-03 2.281E-03 3.978E+00 3 0.77 1.00 2.245E-03 3.833E+00 5.986E-03 6.999E-03 8.639E-03 2.307E-03 4.083E+00 5 1.55 2.00 1.554E-03 2.449E+00 4.381E-03 5.142E-03 6.374E-03 2.333E-03 4.144E+00 7 2.32 3.00 1.071E-03 1.562E+00 3.123E-03 3.669E-03 4.551E-03 2.363E-03 4.186E+00 9 3.09 4.00 7.370E-04 9.954E-01 2.199E-03 2.582E-03 3.196E-03 2.399E-03 4.215E+00 11 3.87 5.00 5.070E-04 6.338E-01 1.537E-03 1.801E-03 2.222E-03 2.442E-03 4.234E+00 13 4.64 6.00 3.492E-04 4.035E-01 1.069E-03 1.249E-03 1.534E-03 2.496E-03 4.244E+00 15 5.41 7.00 2.410E-04 2.568E-01 7.416E-04 8.630E-04 1.054E-03 2.563E-03 4.245E+00 17 6.18 8.00 1.670E-04 1.636E-01 5.136E-04 5.949E-04 7.219E-04 2.648E-03 4.236E+00 19 6.96 9.00 1.164E-04 1.043E-01 3.556E-04 4.096E-04 4.934E-04 2.756E-03 4.219E+00 21 7.73 10.00 8.165E-05 6.655E-02 2.463E-04 2.820E-04 3.370E-04 2.893E-03 4.192E+00 Waveband 29 of 40 completed in 3.9 sec. * * * * * Output for wavelength band 30 (640.0 to 650.0 nm; nominal wavelength = 645.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 35.4 m at 645.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 640.0 nm to 650.0 nm: Ed(diffuse) = 3.232E-01 Ed(direct) = 1.079E+00 Ed(total) = 1.402E+00 Absorption Coefficients of Individual Components at 645.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3250 0.0330 0.0012 0.3592 3 0.789 1.000 0.3250 0.0330 0.0012 0.3592 5 1.578 2.000 0.3250 0.0330 0.0012 0.3592 7 2.367 3.000 0.3250 0.0330 0.0012 0.3592 9 3.155 4.000 0.3250 0.0330 0.0012 0.3592 11 3.944 5.000 0.3250 0.0330 0.0012 0.3592 13 4.733 6.000 0.3250 0.0330 0.0012 0.3592 15 5.522 7.000 0.3250 0.0330 0.0012 0.3592 17 6.311 8.000 0.3250 0.0330 0.0012 0.3592 19 7.100 9.000 0.3250 0.0330 0.0012 0.3592 21 7.889 10.000 0.3250 0.0330 0.0012 0.3592 Scattering Coefficients of Individual Components at 645.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0010 0.4287 0.0000 0.4297 3 0.789 1.000 0.0010 0.4287 0.0000 0.4297 5 1.578 2.000 0.0010 0.4287 0.0000 0.4297 7 2.367 3.000 0.0010 0.4287 0.0000 0.4297 9 3.155 4.000 0.0010 0.4287 0.0000 0.4297 11 3.944 5.000 0.0010 0.4287 0.0000 0.4297 13 4.733 6.000 0.0010 0.4287 0.0000 0.4297 15 5.522 7.000 0.0010 0.4287 0.0000 0.4297 17 6.311 8.000 0.0010 0.4287 0.0000 0.4297 19 7.100 9.000 0.0010 0.4287 0.0000 0.4297 21 7.889 10.000 0.0010 0.4287 0.0000 0.4297 Backscattering Coefficients of Individual Components at 645.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00048 0.00857 0.00000 0.00906 3 0.789 1.000 0.00048 0.00857 0.00000 0.00906 5 1.578 2.000 0.00048 0.00857 0.00000 0.00906 7 2.367 3.000 0.00048 0.00857 0.00000 0.00906 9 3.155 4.000 0.00048 0.00857 0.00000 0.00906 11 3.944 5.000 0.00048 0.00857 0.00000 0.00906 13 4.733 6.000 0.00048 0.00857 0.00000 0.00906 15 5.522 7.000 0.00048 0.00857 0.00000 0.00906 17 6.311 8.000 0.00048 0.00857 0.00000 0.00906 19 7.100 9.000 0.00048 0.00857 0.00000 0.00906 21 7.889 10.000 0.00048 0.00857 0.00000 0.00906 Summary of Inherent Optical Properties at 645.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3592 0.4297 0.7889 0.5447 0.00906 0.02107 3 0.789 1.000 0.3592 0.4297 0.7889 0.5447 0.00906 0.02107 5 1.578 2.000 0.3592 0.4297 0.7889 0.5447 0.00906 0.02107 7 2.367 3.000 0.3592 0.4297 0.7889 0.5447 0.00906 0.02107 9 3.155 4.000 0.3592 0.4297 0.7889 0.5447 0.00906 0.02107 11 3.944 5.000 0.3592 0.4297 0.7889 0.5447 0.00906 0.02107 13 4.733 6.000 0.3592 0.4297 0.7889 0.5447 0.00906 0.02107 15 5.522 7.000 0.3592 0.4297 0.7889 0.5447 0.00906 0.02107 17 6.311 8.000 0.3592 0.4297 0.7889 0.5447 0.00906 0.02107 19 7.100 9.000 0.3592 0.4297 0.7889 0.5447 0.00906 0.02107 21 7.889 10.000 0.3592 0.4297 0.7889 0.5447 0.00906 0.02107 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.6388E-01 8 20.00 5.9062E-01 7 30.00 3.3465E-01 6 40.00 1.6878E-01 5 50.00 8.1337E-02 4 60.00 3.9723E-02 3 70.00 2.0453E-02 2 80.00 1.1366E-02 1 87.50 7.6783E-03 1 92.50 6.0078E-03 2 100.00 4.4258E-03 3 110.00 3.1611E-03 4 120.00 2.4363E-03 5 130.00 2.0165E-03 6 140.00 1.7716E-03 7 150.00 1.6299E-03 8 160.00 1.5507E-03 9 170.00 1.5109E-03 10 180.00 1.4973E-03 Asymptotic AOP values are MUu(inf) = 0.3755 MUd(inf) = 0.8339 MU(inf) = 0.8084 R(inf) = 0.0097 Lu(inf)/Ed(inf) = 0.002100 (1/sr) k(inf) = 0.4443 (1/m) absorp(check) = 0.3592 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 645.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.0903E-01 1.6986E+00 1.8077E+00 4.5436E-02 1.4024E+00 0.4167 0.8256 0.7507 3.2399E-02 1 0.00 0.00 2.7697E-02 1.4506E+00 1.4783E+00 1.1389E-02 1.3683E+00 0.4112 0.9433 0.9179 8.3235E-03 3 0.79 1.00 1.9792E-02 9.9885E-01 1.0186E+00 7.9559E-03 9.2097E-01 0.4020 0.9220 0.8963 8.6386E-03 5 1.58 2.00 1.3709E-02 6.7681E-01 6.9052E-01 5.4583E-03 6.1538E-01 0.3981 0.9092 0.8833 8.8698E-03 7 2.37 3.00 9.3831E-03 4.5473E-01 4.6411E-01 3.7156E-03 4.0912E-01 0.3960 0.8997 0.8735 9.0818E-03 9 3.16 4.00 6.3816E-03 3.0372E-01 3.1011E-01 2.5192E-03 2.7092E-01 0.3948 0.8920 0.8655 9.2985E-03 11 3.94 5.00 4.3257E-03 2.0194E-01 2.0627E-01 1.7053E-03 1.7882E-01 0.3942 0.8855 0.8587 9.5364E-03 13 4.73 6.00 2.9284E-03 1.3377E-01 1.3670E-01 1.1547E-03 1.1770E-01 0.3943 0.8799 0.8526 9.8110E-03 15 5.52 7.00 1.9837E-03 8.8337E-02 9.0320E-02 7.8363E-04 7.7283E-02 0.3950 0.8749 0.8470 1.0140E-02 17 6.31 8.00 1.3469E-03 5.8181E-02 5.9528E-02 5.3396E-04 5.0639E-02 0.3964 0.8704 0.8417 1.0544E-02 19 7.10 9.00 9.1836E-04 3.8227E-02 3.9146E-02 3.6599E-04 3.3114E-02 0.3985 0.8662 0.8366 1.1052E-02 21 7.89 10.00 6.3024E-04 2.5075E-02 2.5706E-02 2.5298E-04 2.1626E-02 0.4014 0.8624 0.8314 1.1698E-02 K-functions (units of 1/meter) at 645.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.29453 0.35639 0.35524 0.33927 0.39067 0.39110 0.37741 1.000 1.010 1.005 0.35771 0.38346 0.38296 0.37076 0.40014 0.40040 0.38810 2.000 2.010 2.005 0.37461 0.39410 0.39371 0.38161 0.40596 0.40618 0.39247 3.000 3.010 3.005 0.38299 0.40095 0.40058 0.38710 0.41035 0.41057 0.39419 4.000 4.010 4.005 0.38761 0.40605 0.40567 0.38976 0.41393 0.41415 0.39397 5.000 5.010 5.005 0.38983 0.41013 0.40970 0.39036 0.41694 0.41719 0.39200 6.000 6.010 6.005 0.39014 0.41351 0.41301 0.38910 0.41953 0.41983 0.38822 7.000 7.010 7.005 0.38865 0.41637 0.41576 0.38599 0.42177 0.42213 0.38252 8.000 8.010 8.005 0.38532 0.41878 0.41803 0.38093 0.42371 0.42416 0.37474 9.000 9.010 9.005 0.38000 0.42081 0.41985 0.37377 0.42537 0.42595 0.36479 10.000 10.010 10.005 0.37265 0.42247 0.42125 0.36444 0.42678 0.42751 0.35266 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 3.42314E-01 1.54453E-03 5.38311E-02 5.53756E-02 1.10138E-03 0.157256 9 1 10.0 0.0 180.0 1.50080E-01 1.57086E-03 2.32283E-02 2.47992E-02 1.12016E-03 0.154773 9 4 10.0 45.0 135.0 1.67760E-01 1.56254E-03 2.67870E-02 2.83496E-02 1.11422E-03 0.159675 9 7 10.0 90.0 90.0 2.34218E-01 1.55422E-03 4.06563E-02 4.22105E-02 1.10829E-03 0.173583 8 1 20.0 0.0 180.0 8.97203E-02 1.58179E-03 7.30374E-03 8.88552E-03 1.12795E-03 0.081406 8 4 20.0 45.0 135.0 1.00118E-01 1.56368E-03 9.49986E-03 1.10635E-02 1.11504E-03 0.094887 8 7 20.0 90.0 90.0 1.40698E-01 1.55396E-03 1.95220E-02 2.10759E-02 1.10810E-03 0.138751 7 1 30.0 0.0 180.0 6.32163E-02 1.59904E-03 2.28378E-03 3.88283E-03 1.14025E-03 0.036126 7 4 30.0 45.0 135.0 6.90356E-02 1.59393E-03 2.94599E-03 4.53992E-03 1.13661E-03 0.042673 7 7 30.0 90.0 90.0 9.07504E-02 1.57384E-03 6.36724E-03 7.94108E-03 1.12228E-03 0.070162 6 1 40.0 0.0 180.0 5.19302E-02 1.60606E-03 1.52634E-03 3.13240E-03 1.14526E-03 0.029392 6 4 40.0 45.0 135.0 5.56008E-02 1.59863E-03 1.68286E-03 3.28149E-03 1.13996E-03 0.030267 6 7 40.0 90.0 90.0 6.82546E-02 1.57849E-03 2.48746E-03 4.06595E-03 1.12560E-03 0.036444 5 1 50.0 0.0 180.0 4.80990E-02 1.62574E-03 1.94491E-03 3.57065E-03 1.15929E-03 0.040436 5 4 50.0 45.0 135.0 5.08010E-02 1.60980E-03 2.05109E-03 3.66089E-03 1.14792E-03 0.040375 5 7 50.0 90.0 90.0 5.94807E-02 1.59125E-03 2.43751E-03 4.02876E-03 1.13470E-03 0.040980 4 1 60.0 0.0 180.0 4.98896E-02 1.60363E-03 3.82920E-03 5.43283E-03 1.14352E-03 0.076753 4 4 60.0 45.0 135.0 5.20469E-02 1.58605E-03 3.94798E-03 5.53404E-03 1.13099E-03 0.075854 4 7 60.0 90.0 90.0 5.88862E-02 1.58668E-03 4.42527E-03 6.01195E-03 1.13144E-03 0.075150 3 1 70.0 0.0 180.0 5.98319E-02 1.49562E-03 9.57463E-03 1.10702E-02 1.06650E-03 0.160025 3 4 70.0 45.0 135.0 6.14133E-02 1.49555E-03 9.80275E-03 1.12983E-02 1.06645E-03 0.159619 3 7 70.0 90.0 90.0 6.69765E-02 1.49601E-03 1.06637E-02 1.21597E-02 1.06678E-03 0.159215 2 1 80.0 0.0 180.0 8.92239E-02 1.28986E-03 2.27452E-02 2.40350E-02 9.19778E-04 0.254922 2 4 80.0 45.0 135.0 8.96544E-02 1.28692E-03 2.36074E-02 2.48943E-02 9.17683E-04 0.263315 2 7 80.0 90.0 90.0 9.32170E-02 1.28741E-03 2.52742E-02 2.65616E-02 9.18034E-04 0.271133 1 1 87.5 0.0 180.0 1.34508E-01 1.04957E-03 3.96325E-02 4.06821E-02 7.48429E-04 0.294649 1 4 87.5 45.0 135.0 1.32897E-01 9.97130E-04 4.22966E-02 4.32937E-02 7.11037E-04 0.318267 1 7 87.5 90.0 90.0 1.32650E-01 1.10356E-03 4.45831E-02 4.56867E-02 7.86930E-04 0.336097 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 5.538E-02 3.423E-01 8.759E-02 8.917E-02 9.548E-02 3.949E-02 8.205E-01 1.545E-03 1.101E-03 1 0.00 0.00 2.867E-03 5.805E+00 6.503E-03 7.377E-03 8.505E-03 2.095E-03 3.973E+00 3 0.79 1.00 1.953E-03 3.642E+00 5.234E-03 6.127E-03 7.576E-03 2.121E-03 4.073E+00 5 1.58 2.00 1.322E-03 2.279E+00 3.729E-03 4.382E-03 5.440E-03 2.148E-03 4.129E+00 7 2.37 3.00 8.919E-04 1.424E+00 2.592E-03 3.049E-03 3.785E-03 2.180E-03 4.166E+00 9 3.16 4.00 6.013E-04 8.882E-01 1.781E-03 2.093E-03 2.594E-03 2.219E-03 4.190E+00 11 3.94 5.00 4.058E-04 5.537E-01 1.216E-03 1.426E-03 1.761E-03 2.270E-03 4.202E+00 13 4.73 6.00 2.747E-04 3.451E-01 8.275E-04 9.667E-04 1.188E-03 2.334E-03 4.204E+00 15 5.52 7.00 1.868E-04 2.151E-01 5.620E-04 6.536E-04 7.981E-04 2.417E-03 4.195E+00 17 6.31 8.00 1.279E-04 1.342E-01 3.815E-04 4.414E-04 5.351E-04 2.526E-03 4.175E+00 19 7.10 9.00 8.834E-05 8.369E-02 2.593E-04 2.981E-04 3.584E-04 2.668E-03 4.143E+00 21 7.89 10.00 6.170E-05 5.226E-02 1.767E-04 2.018E-04 2.404E-04 2.853E-03 4.100E+00 Waveband 30 of 40 completed in 4.0 sec. * * * * * Output for wavelength band 31 (650.0 to 660.0 nm; nominal wavelength = 655.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 34.0 m at 655.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 650.0 nm to 660.0 nm: Ed(diffuse) = 3.068E-01 Ed(direct) = 1.033E+00 Ed(total) = 1.340E+00 Absorption Coefficients of Individual Components at 655.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3710 0.0392 0.0010 0.4112 3 0.834 1.000 0.3710 0.0392 0.0010 0.4112 5 1.669 2.000 0.3710 0.0392 0.0010 0.4112 7 2.503 3.000 0.3710 0.0392 0.0010 0.4112 9 3.337 4.000 0.3710 0.0392 0.0010 0.4112 11 4.171 5.000 0.3710 0.0392 0.0010 0.4112 13 5.006 6.000 0.3710 0.0392 0.0010 0.4112 15 5.840 7.000 0.3710 0.0392 0.0010 0.4112 17 6.674 8.000 0.3710 0.0392 0.0010 0.4112 19 7.509 9.000 0.3710 0.0392 0.0010 0.4112 21 8.343 10.000 0.3710 0.0392 0.0010 0.4112 Scattering Coefficients of Individual Components at 655.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0009 0.4222 0.0000 0.4231 3 0.834 1.000 0.0009 0.4222 0.0000 0.4231 5 1.669 2.000 0.0009 0.4222 0.0000 0.4231 7 2.503 3.000 0.0009 0.4222 0.0000 0.4231 9 3.337 4.000 0.0009 0.4222 0.0000 0.4231 11 4.171 5.000 0.0009 0.4222 0.0000 0.4231 13 5.006 6.000 0.0009 0.4222 0.0000 0.4231 15 5.840 7.000 0.0009 0.4222 0.0000 0.4231 17 6.674 8.000 0.0009 0.4222 0.0000 0.4231 19 7.509 9.000 0.0009 0.4222 0.0000 0.4231 21 8.343 10.000 0.0009 0.4222 0.0000 0.4231 Backscattering Coefficients of Individual Components at 655.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00045 0.00844 0.00000 0.00889 3 0.834 1.000 0.00045 0.00844 0.00000 0.00889 5 1.669 2.000 0.00045 0.00844 0.00000 0.00889 7 2.503 3.000 0.00045 0.00844 0.00000 0.00889 9 3.337 4.000 0.00045 0.00844 0.00000 0.00889 11 4.171 5.000 0.00045 0.00844 0.00000 0.00889 13 5.006 6.000 0.00045 0.00844 0.00000 0.00889 15 5.840 7.000 0.00045 0.00844 0.00000 0.00889 17 6.674 8.000 0.00045 0.00844 0.00000 0.00889 19 7.509 9.000 0.00045 0.00844 0.00000 0.00889 21 8.343 10.000 0.00045 0.00844 0.00000 0.00889 Summary of Inherent Optical Properties at 655.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.4112 0.4231 0.8343 0.5071 0.00889 0.02102 3 0.834 1.000 0.4112 0.4231 0.8343 0.5071 0.00889 0.02102 5 1.669 2.000 0.4112 0.4231 0.8343 0.5071 0.00889 0.02102 7 2.503 3.000 0.4112 0.4231 0.8343 0.5071 0.00889 0.02102 9 3.337 4.000 0.4112 0.4231 0.8343 0.5071 0.00889 0.02102 11 4.171 5.000 0.4112 0.4231 0.8343 0.5071 0.00889 0.02102 13 5.006 6.000 0.4112 0.4231 0.8343 0.5071 0.00889 0.02102 15 5.840 7.000 0.4112 0.4231 0.8343 0.5071 0.00889 0.02102 17 6.674 8.000 0.4112 0.4231 0.8343 0.5071 0.00889 0.02102 19 7.509 9.000 0.4112 0.4231 0.8343 0.5071 0.00889 0.02102 21 8.343 10.000 0.4112 0.4231 0.8343 0.5071 0.00889 0.02102 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.5016E-01 8 20.00 5.5877E-01 7 30.00 3.0054E-01 6 40.00 1.4384E-01 5 50.00 6.6357E-02 4 60.00 3.1422E-02 3 70.00 1.5877E-02 2 80.00 8.7336E-03 1 87.50 5.8779E-03 1 92.50 4.5986E-03 2 100.00 3.3870E-03 3 110.00 2.4221E-03 4 120.00 1.8727E-03 5 130.00 1.5566E-03 6 140.00 1.3737E-03 7 150.00 1.2691E-03 8 160.00 1.2112E-03 9 170.00 1.1825E-03 10 180.00 1.1727E-03 Asymptotic AOP values are MUu(inf) = 0.3771 MUd(inf) = 0.8457 MU(inf) = 0.8238 R(inf) = 0.0081 Lu(inf)/Ed(inf) = 0.001789 (1/sr) k(inf) = 0.4992 (1/m) absorp(check) = 0.4112 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 655.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.0259E-01 1.6214E+00 1.7240E+00 4.2745E-02 1.3401E+00 0.4166 0.8265 0.7525 3.1897E-02 1 0.00 0.00 2.3002E-02 1.3832E+00 1.4062E+00 9.4536E-03 1.3068E+00 0.4110 0.9447 0.9226 7.2342E-03 3 0.83 1.00 1.5608E-02 9.0061E-01 9.1622E-01 6.2871E-03 8.3289E-01 0.4028 0.9248 0.9022 7.5485E-03 5 1.67 2.00 1.0291E-02 5.7701E-01 5.8730E-01 4.1183E-03 5.2689E-01 0.4002 0.9132 0.8901 7.8162E-03 7 2.50 3.00 6.7309E-03 3.6667E-01 3.7340E-01 2.6881E-03 3.3164E-01 0.3994 0.9045 0.8810 8.1056E-03 9 3.34 4.00 4.3961E-03 2.3170E-01 2.3609E-01 1.7574E-03 2.0792E-01 0.3998 0.8974 0.8732 8.4520E-03 11 4.17 5.00 2.8793E-03 1.4579E-01 1.4867E-01 1.1552E-03 1.2995E-01 0.4012 0.8913 0.8663 8.8900E-03 13 5.01 6.00 1.8982E-03 9.1423E-02 9.3321E-02 7.6641E-04 8.0996E-02 0.4038 0.8859 0.8597 9.4624E-03 15 5.84 7.00 1.2642E-03 5.7177E-02 5.8441E-02 5.1510E-04 5.0373E-02 0.4074 0.8810 0.8531 1.0226E-02 17 6.67 8.00 8.5384E-04 3.5684E-02 3.6538E-02 3.5201E-04 3.1272E-02 0.4123 0.8764 0.8462 1.1256E-02 19 7.51 9.00 5.8689E-04 2.2238E-02 2.2825E-02 2.4540E-04 1.9388E-02 0.4181 0.8718 0.8387 1.2658E-02 21 8.34 10.00 4.1183E-04 1.3847E-02 1.4259E-02 1.7498E-04 1.2008E-02 0.4249 0.8672 0.8299 1.4572E-02 K-functions (units of 1/meter) at 655.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.34448 0.41147 0.41038 0.38844 0.44486 0.44527 0.42428 1.000 1.010 1.005 0.40872 0.43958 0.43905 0.41882 0.45482 0.45509 0.43240 2.000 2.010 2.005 0.42210 0.44996 0.44947 0.42594 0.46070 0.46098 0.43254 3.000 3.010 3.005 0.42613 0.45652 0.45597 0.42654 0.46507 0.46539 0.42857 4.000 4.010 4.005 0.42526 0.46134 0.46067 0.42292 0.46858 0.46897 0.42101 5.000 5.010 5.005 0.42055 0.46511 0.46424 0.41555 0.47148 0.47198 0.40982 6.000 6.010 6.005 0.41218 0.46812 0.46698 0.40446 0.47391 0.47457 0.39494 7.000 7.010 7.005 0.40009 0.47050 0.46898 0.38962 0.47591 0.47680 0.37648 8.000 8.010 8.005 0.38428 0.47228 0.47022 0.37121 0.47749 0.47871 0.35492 9.000 9.010 9.005 0.36504 0.47345 0.47066 0.34979 0.47865 0.48030 0.33116 10.000 10.010 10.005 0.34305 0.47391 0.47013 0.32632 0.47933 0.48159 0.30645 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 3.24864E-01 1.28923E-03 5.15063E-02 5.27955E-02 9.62056E-04 0.158547 9 1 10.0 0.0 180.0 1.42429E-01 1.31119E-03 2.22142E-02 2.35254E-02 9.78445E-04 0.155967 9 4 10.0 45.0 135.0 1.59209E-01 1.30416E-03 2.56199E-02 2.69241E-02 9.73198E-04 0.160920 9 7 10.0 90.0 90.0 2.22275E-01 1.29700E-03 3.88947E-02 4.01918E-02 9.67859E-04 0.174985 8 1 20.0 0.0 180.0 8.51467E-02 1.31989E-03 6.97452E-03 8.29441E-03 9.84940E-04 0.081912 8 4 20.0 45.0 135.0 9.50141E-02 1.30464E-03 9.07538E-03 1.03800E-02 9.73559E-04 0.095516 8 7 20.0 90.0 90.0 1.33526E-01 1.29615E-03 1.86658E-02 1.99619E-02 9.67226E-04 0.139792 7 1 30.0 0.0 180.0 5.99938E-02 1.33367E-03 2.17280E-03 3.50648E-03 9.95225E-04 0.036217 7 4 30.0 45.0 135.0 6.55165E-02 1.32920E-03 2.80548E-03 4.13468E-03 9.91885E-04 0.042821 7 7 30.0 90.0 90.0 8.61244E-02 1.31189E-03 6.07652E-03 7.38841E-03 9.78971E-04 0.070555 6 1 40.0 0.0 180.0 4.92830E-02 1.33837E-03 1.44881E-03 2.78718E-03 9.98730E-04 0.029398 6 4 40.0 45.0 135.0 5.27665E-02 1.33187E-03 1.59770E-03 2.92958E-03 9.93882E-04 0.030279 6 7 40.0 90.0 90.0 6.47752E-02 1.31430E-03 2.36452E-03 3.67882E-03 9.80765E-04 0.036503 5 1 50.0 0.0 180.0 4.56471E-02 1.35354E-03 1.84580E-03 3.19934E-03 1.01005E-03 0.040436 5 4 50.0 45.0 135.0 4.82114E-02 1.33988E-03 1.94654E-03 3.28642E-03 9.99855E-04 0.040375 5 7 50.0 90.0 90.0 5.64486E-02 1.32344E-03 2.31344E-03 3.63687E-03 9.87585E-04 0.040983 4 1 60.0 0.0 180.0 4.73465E-02 1.33388E-03 3.63400E-03 4.96788E-03 9.95377E-04 0.076753 4 4 60.0 45.0 135.0 4.93938E-02 1.31880E-03 3.74673E-03 5.06553E-03 9.84123E-04 0.075854 4 7 60.0 90.0 90.0 5.58844E-02 1.31813E-03 4.19969E-03 5.51782E-03 9.83626E-04 0.075150 3 1 70.0 0.0 180.0 5.67819E-02 1.24274E-03 9.08655E-03 1.03293E-02 9.27371E-04 0.160025 3 4 70.0 45.0 135.0 5.82827E-02 1.24220E-03 9.30304E-03 1.05452E-02 9.26961E-04 0.159619 3 7 70.0 90.0 90.0 6.35623E-02 1.24129E-03 1.01201E-02 1.13614E-02 9.26283E-04 0.159215 2 1 80.0 0.0 180.0 8.46757E-02 1.07079E-03 2.15857E-02 2.26565E-02 7.99055E-04 0.254922 2 4 80.0 45.0 135.0 8.50842E-02 1.06788E-03 2.24040E-02 2.34718E-02 7.96881E-04 0.263315 2 7 80.0 90.0 90.0 8.84652E-02 1.06711E-03 2.39858E-02 2.50529E-02 7.96308E-04 0.271133 1 1 87.5 0.0 180.0 1.27651E-01 8.70616E-04 3.76122E-02 3.84828E-02 6.49678E-04 0.294649 1 4 87.5 45.0 135.0 1.26122E-01 8.26749E-04 4.01405E-02 4.09673E-02 6.16943E-04 0.318267 1 7 87.5 90.0 90.0 1.25888E-01 9.13934E-04 4.23105E-02 4.32244E-02 6.82003E-04 0.336097 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 5.280E-02 3.249E-01 8.307E-02 8.456E-02 9.055E-02 3.940E-02 8.096E-01 1.289E-03 9.621E-04 1 0.00 0.00 2.393E-03 5.554E+00 5.437E-03 6.172E-03 7.115E-03 1.831E-03 3.950E+00 3 0.83 1.00 1.558E-03 3.313E+00 4.146E-03 4.853E-03 6.003E-03 1.870E-03 4.036E+00 5 1.67 2.00 1.010E-03 1.971E+00 2.792E-03 3.278E-03 4.065E-03 1.918E-03 4.076E+00 7 2.50 3.00 6.567E-04 1.170E+00 1.843E-03 2.162E-03 2.678E-03 1.980E-03 4.093E+00 9 3.34 4.00 4.293E-04 6.940E-01 1.207E-03 1.412E-03 1.743E-03 2.065E-03 4.094E+00 11 4.17 5.00 2.833E-04 4.112E-01 7.894E-04 9.194E-04 1.128E-03 2.180E-03 4.078E+00 13 5.01 6.00 1.894E-04 2.436E-01 5.172E-04 5.987E-04 7.285E-04 2.338E-03 4.047E+00 15 5.84 7.00 1.287E-04 1.443E-01 3.407E-04 3.913E-04 4.714E-04 2.555E-03 4.002E+00 17 6.67 8.00 8.926E-05 8.548E-02 2.262E-04 2.575E-04 3.065E-04 2.854E-03 3.943E+00 19 7.51 9.00 6.333E-05 5.067E-02 1.520E-04 1.712E-04 2.010E-04 3.267E-03 3.875E+00 21 8.34 10.00 4.604E-05 3.006E-02 1.037E-04 1.154E-04 1.334E-04 3.834E-03 3.801E+00 Waveband 31 of 40 completed in 4.0 sec. * * * * * Output for wavelength band 32 (660.0 to 670.0 nm; nominal wavelength = 665.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 32.2 m at 665.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 660.0 nm to 670.0 nm: Ed(diffuse) = 3.167E-01 Ed(direct) = 1.076E+00 Ed(total) = 1.392E+00 Absorption Coefficients of Individual Components at 665.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.4290 0.0546 0.0009 0.4845 3 0.901 1.000 0.4290 0.0546 0.0009 0.4845 5 1.802 2.000 0.4290 0.0546 0.0009 0.4845 7 2.704 3.000 0.4290 0.0546 0.0009 0.4845 9 3.605 4.000 0.4290 0.0546 0.0009 0.4845 11 4.506 5.000 0.4290 0.0546 0.0009 0.4845 13 5.407 6.000 0.4290 0.0546 0.0009 0.4845 15 6.309 7.000 0.4290 0.0546 0.0009 0.4845 17 7.210 8.000 0.4290 0.0546 0.0009 0.4845 19 8.111 9.000 0.4290 0.0546 0.0009 0.4845 21 9.012 10.000 0.4290 0.0546 0.0009 0.4845 Scattering Coefficients of Individual Components at 665.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0008 0.4158 0.0000 0.4167 3 0.901 1.000 0.0008 0.4158 0.0000 0.4167 5 1.802 2.000 0.0008 0.4158 0.0000 0.4167 7 2.704 3.000 0.0008 0.4158 0.0000 0.4167 9 3.605 4.000 0.0008 0.4158 0.0000 0.4167 11 4.506 5.000 0.0008 0.4158 0.0000 0.4167 13 5.407 6.000 0.0008 0.4158 0.0000 0.4167 15 6.309 7.000 0.0008 0.4158 0.0000 0.4167 17 7.210 8.000 0.0008 0.4158 0.0000 0.4167 19 8.111 9.000 0.0008 0.4158 0.0000 0.4167 21 9.012 10.000 0.0008 0.4158 0.0000 0.4167 Backscattering Coefficients of Individual Components at 665.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00042 0.00832 0.00000 0.00874 3 0.901 1.000 0.00042 0.00832 0.00000 0.00874 5 1.802 2.000 0.00042 0.00832 0.00000 0.00874 7 2.704 3.000 0.00042 0.00832 0.00000 0.00874 9 3.605 4.000 0.00042 0.00832 0.00000 0.00874 11 4.506 5.000 0.00042 0.00832 0.00000 0.00874 13 5.407 6.000 0.00042 0.00832 0.00000 0.00874 15 6.309 7.000 0.00042 0.00832 0.00000 0.00874 17 7.210 8.000 0.00042 0.00832 0.00000 0.00874 19 8.111 9.000 0.00042 0.00832 0.00000 0.00874 21 9.012 10.000 0.00042 0.00832 0.00000 0.00874 Summary of Inherent Optical Properties at 665.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.4845 0.4167 0.9012 0.4624 0.00874 0.02097 3 0.901 1.000 0.4845 0.4167 0.9012 0.4624 0.00874 0.02097 5 1.802 2.000 0.4845 0.4167 0.9012 0.4624 0.00874 0.02097 7 2.704 3.000 0.4845 0.4167 0.9012 0.4624 0.00874 0.02097 9 3.605 4.000 0.4845 0.4167 0.9012 0.4624 0.00874 0.02097 11 4.506 5.000 0.4845 0.4167 0.9012 0.4624 0.00874 0.02097 13 5.407 6.000 0.4845 0.4167 0.9012 0.4624 0.00874 0.02097 15 6.309 7.000 0.4845 0.4167 0.9012 0.4624 0.00874 0.02097 17 7.210 8.000 0.4845 0.4167 0.9012 0.4624 0.00874 0.02097 19 8.111 9.000 0.4845 0.4167 0.9012 0.4624 0.00874 0.02097 21 9.012 10.000 0.4845 0.4167 0.9012 0.4624 0.00874 0.02097 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.3198E-01 8 20.00 5.1888E-01 7 30.00 2.6094E-01 6 40.00 1.1703E-01 5 50.00 5.1293E-02 4 60.00 2.3483E-02 3 70.00 1.1644E-02 2 80.00 6.3461E-03 1 87.50 4.2590E-03 1 92.50 3.3342E-03 2 100.00 2.4572E-03 3 110.00 1.7610E-03 4 120.00 1.3673E-03 5 130.00 1.1425E-03 6 140.00 1.0137E-03 7 150.00 9.4099E-04 8 160.00 9.0142E-04 9 170.00 8.8206E-04 10 180.00 8.7553E-04 Asymptotic AOP values are MUu(inf) = 0.3793 MUd(inf) = 0.8591 MU(inf) = 0.8408 R(inf) = 0.0066 Lu(inf)/Ed(inf) = 0.001481 (1/sr) k(inf) = 0.5763 (1/m) absorp(check) = 0.4846 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 665.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.0579E-01 1.6830E+00 1.7888E+00 4.4162E-02 1.3924E+00 0.4174 0.8273 0.7537 3.1717E-02 1 0.00 0.00 2.2171E-02 1.4356E+00 1.4577E+00 9.2454E-03 1.3575E+00 0.4170 0.9456 0.9249 6.8108E-03 3 0.90 1.00 1.4476E-02 8.6473E-01 8.7920E-01 5.9809E-03 8.0158E-01 0.4132 0.9270 0.9049 7.4613E-03 5 1.80 2.00 9.3614E-03 5.1282E-01 5.2218E-01 3.8885E-03 4.6982E-01 0.4154 0.9162 0.8923 8.2765E-03 7 2.70 3.00 6.1421E-03 3.0195E-01 3.0810E-01 2.5802E-03 2.7409E-01 0.4201 0.9077 0.8813 9.4137E-03 9 3.60 4.00 4.1289E-03 1.7703E-01 1.8116E-01 1.7612E-03 1.5938E-01 0.4266 0.9003 0.8701 1.1050E-02 11 4.51 5.00 2.8616E-03 1.0354E-01 1.0640E-01 1.2423E-03 9.2476E-02 0.4341 0.8932 0.8575 1.3433E-02 13 5.41 6.00 2.0489E-03 6.0506E-02 6.2555E-02 9.0577E-04 5.3593E-02 0.4421 0.8857 0.8422 1.6901E-02 15 6.31 7.00 1.5173E-03 3.5395E-02 3.6912E-02 6.8243E-04 3.1059E-02 0.4498 0.8775 0.8229 2.1972E-02 17 7.21 8.00 1.1585E-03 2.0773E-02 2.1931E-02 5.2901E-04 1.8027E-02 0.4566 0.8678 0.7979 2.9345E-02 19 8.11 9.00 9.0799E-04 1.2267E-02 1.3175E-02 4.1978E-04 1.0500E-02 0.4623 0.8559 0.7651 3.9980E-02 21 9.01 10.00 7.2665E-04 7.3172E-03 8.0438E-03 3.3920E-04 6.1532E-03 0.4668 0.8409 0.7228 5.5126E-02 K-functions (units of 1/meter) at 665.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.39217 0.48897 0.48750 0.42482 0.52095 0.52161 0.44909 1.000 1.010 1.005 0.43832 0.51727 0.51597 0.43718 0.53125 0.53196 0.43783 2.000 2.010 2.005 0.43093 0.52675 0.52503 0.42208 0.53686 0.53782 0.41430 3.000 3.010 3.005 0.41072 0.53215 0.52973 0.39710 0.54072 0.54209 0.38389 4.000 4.010 4.005 0.38286 0.53544 0.53196 0.36607 0.54343 0.54541 0.34951 5.000 5.010 5.005 0.34985 0.53707 0.53203 0.33174 0.54513 0.54804 0.31422 6.000 6.010 6.005 0.31689 0.53701 0.52979 0.29884 0.54575 0.55000 0.28152 7.000 7.010 7.005 0.28458 0.53495 0.52464 0.26819 0.54504 0.55127 0.25283 8.000 8.010 8.005 0.25606 0.53032 0.51581 0.24218 0.54263 0.55173 0.22950 9.000 9.010 9.005 0.23256 0.52236 0.50236 0.22146 0.53793 0.55113 0.21157 10.000 10.010 10.005 0.21434 0.51014 0.48338 0.20586 0.53019 0.54915 0.19842 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 3.35339E-01 1.28863E-03 5.35817E-02 5.48703E-02 9.25487E-04 0.159783 9 1 10.0 0.0 180.0 1.47022E-01 1.30922E-03 2.30985E-02 2.44077E-02 9.40278E-04 0.157109 9 4 10.0 45.0 135.0 1.64343E-01 1.30255E-03 2.66421E-02 2.79446E-02 9.35487E-04 0.162113 9 7 10.0 90.0 90.0 2.29438E-01 1.29620E-03 4.04563E-02 4.17525E-02 9.30928E-04 0.176328 8 1 20.0 0.0 180.0 8.78922E-02 1.31680E-03 7.24201E-03 8.55881E-03 9.45723E-04 0.082396 8 4 20.0 45.0 135.0 9.80778E-02 1.30214E-03 9.42712E-03 1.07293E-02 9.35190E-04 0.096119 8 7 20.0 90.0 90.0 1.37831E-01 1.29485E-03 1.94050E-02 2.06998E-02 9.29953E-04 0.140788 7 1 30.0 0.0 180.0 6.19283E-02 1.32931E-03 2.24824E-03 3.57756E-03 9.54706E-04 0.036304 7 4 30.0 45.0 135.0 6.76290E-02 1.32556E-03 2.90550E-03 4.23105E-03 9.52008E-04 0.042962 7 7 30.0 90.0 90.0 8.89014E-02 1.30972E-03 6.30593E-03 7.61564E-03 9.40632E-04 0.070932 6 1 40.0 0.0 180.0 5.08721E-02 1.33200E-03 1.49580E-03 2.82780E-03 9.56635E-04 0.029403 6 4 40.0 45.0 135.0 5.44679E-02 1.32628E-03 1.64984E-03 2.97612E-03 9.52528E-04 0.030290 6 7 40.0 90.0 90.0 6.68639E-02 1.31010E-03 2.44458E-03 3.75468E-03 9.40905E-04 0.036561 5 1 50.0 0.0 180.0 4.71190E-02 1.34467E-03 1.90535E-03 3.25002E-03 9.65734E-04 0.040437 5 4 50.0 45.0 135.0 4.97660E-02 1.33171E-03 2.00930E-03 3.34101E-03 9.56428E-04 0.040375 5 7 50.0 90.0 90.0 5.82688E-02 1.31615E-03 2.38821E-03 3.70436E-03 9.45254E-04 0.040986 4 1 60.0 0.0 180.0 4.88731E-02 1.32236E-03 3.75118E-03 5.07354E-03 9.49715E-04 0.076753 4 4 60.0 45.0 135.0 5.09865E-02 1.30783E-03 3.86755E-03 5.17537E-03 9.39275E-04 0.075854 4 7 60.0 90.0 90.0 5.76864E-02 1.30725E-03 4.33510E-03 5.64235E-03 9.38860E-04 0.075150 3 1 70.0 0.0 180.0 5.86128E-02 1.22839E-03 9.37955E-03 1.06079E-02 8.82222E-04 0.160025 3 4 70.0 45.0 135.0 6.01620E-02 1.22791E-03 9.60302E-03 1.08309E-02 8.81879E-04 0.159619 3 7 70.0 90.0 90.0 6.56119E-02 1.22601E-03 1.04464E-02 1.16724E-02 8.80518E-04 0.159215 2 1 80.0 0.0 180.0 8.74060E-02 1.05520E-03 2.22817E-02 2.33369E-02 7.57841E-04 0.254922 2 4 80.0 45.0 135.0 8.78277E-02 1.05205E-03 2.31264E-02 2.41784E-02 7.55578E-04 0.263315 2 7 80.0 90.0 90.0 9.13177E-02 1.04966E-03 2.47592E-02 2.58089E-02 7.53861E-04 0.271133 1 1 87.5 0.0 180.0 1.31767E-01 8.54964E-04 3.88250E-02 3.96800E-02 6.14031E-04 0.294649 1 4 87.5 45.0 135.0 1.30189E-01 8.11468E-04 4.14348E-02 4.22463E-02 5.82793E-04 0.318267 1 7 87.5 90.0 90.0 1.29947E-01 8.94797E-04 4.36747E-02 4.45695E-02 6.42639E-04 0.336097 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 5.487E-02 3.353E-01 8.572E-02 8.726E-02 9.344E-02 3.941E-02 8.048E-01 1.289E-03 9.255E-04 1 0.00 0.00 2.392E-03 5.777E+00 5.209E-03 5.868E-03 6.698E-03 1.762E-03 3.865E+00 3 0.90 1.00 1.533E-03 3.207E+00 3.705E-03 4.284E-03 5.226E-03 1.912E-03 3.902E+00 5 1.80 2.00 1.000E-03 1.776E+00 2.389E-03 2.753E-03 3.344E-03 2.129E-03 3.887E+00 7 2.70 3.00 6.709E-04 9.810E-01 1.540E-03 1.759E-03 2.115E-03 2.448E-03 3.846E+00 9 3.60 4.00 4.649E-04 5.413E-01 1.007E-03 1.137E-03 1.347E-03 2.917E-03 3.789E+00 11 4.51 5.00 3.336E-04 2.984E-01 6.741E-04 7.500E-04 8.719E-04 3.607E-03 3.724E+00 13 5.41 6.00 2.476E-04 1.645E-01 4.646E-04 5.085E-04 5.785E-04 4.620E-03 3.658E+00 15 6.31 7.00 1.896E-04 9.066E-02 3.308E-04 3.559E-04 3.957E-04 6.105E-03 3.599E+00 17 7.21 8.00 1.491E-04 5.000E-02 2.433E-04 2.576E-04 2.801E-04 8.268E-03 3.549E+00 19 8.11 9.00 1.196E-04 2.761E-02 1.846E-04 1.926E-04 2.053E-04 1.139E-02 3.510E+00 21 9.01 10.00 9.748E-05 1.527E-02 1.438E-04 1.483E-04 1.554E-04 1.584E-02 3.480E+00 Waveband 32 of 40 completed in 4.3 sec. * * * * * Output for wavelength band 33 (670.0 to 680.0 nm; nominal wavelength = 675.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 31.9 m at 675.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 670.0 nm to 680.0 nm: Ed(diffuse) = 3.087E-01 Ed(direct) = 1.057E+00 Ed(total) = 1.366E+00 Absorption Coefficients of Individual Components at 675.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.4480 0.0557 0.0008 0.5044 3 0.915 1.000 0.4480 0.0557 0.0008 0.5044 5 1.830 2.000 0.4480 0.0557 0.0008 0.5044 7 2.745 3.000 0.4480 0.0557 0.0008 0.5044 9 3.660 4.000 0.4480 0.0557 0.0008 0.5044 11 4.575 5.000 0.4480 0.0557 0.0008 0.5044 13 5.490 6.000 0.4480 0.0557 0.0008 0.5044 15 6.404 7.000 0.4480 0.0557 0.0008 0.5044 17 7.319 8.000 0.4480 0.0557 0.0008 0.5044 19 8.234 9.000 0.4480 0.0557 0.0008 0.5044 21 9.149 10.000 0.4480 0.0557 0.0008 0.5044 Scattering Coefficients of Individual Components at 675.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0008 0.4097 0.0000 0.4105 3 0.915 1.000 0.0008 0.4097 0.0000 0.4105 5 1.830 2.000 0.0008 0.4097 0.0000 0.4105 7 2.745 3.000 0.0008 0.4097 0.0000 0.4105 9 3.660 4.000 0.0008 0.4097 0.0000 0.4105 11 4.575 5.000 0.0008 0.4097 0.0000 0.4105 13 5.490 6.000 0.0008 0.4097 0.0000 0.4105 15 6.404 7.000 0.0008 0.4097 0.0000 0.4105 17 7.319 8.000 0.0008 0.4097 0.0000 0.4105 19 8.234 9.000 0.0008 0.4097 0.0000 0.4105 21 9.149 10.000 0.0008 0.4097 0.0000 0.4105 Backscattering Coefficients of Individual Components at 675.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00040 0.00819 0.00000 0.00859 3 0.915 1.000 0.00040 0.00819 0.00000 0.00859 5 1.830 2.000 0.00040 0.00819 0.00000 0.00859 7 2.745 3.000 0.00040 0.00819 0.00000 0.00859 9 3.660 4.000 0.00040 0.00819 0.00000 0.00859 11 4.575 5.000 0.00040 0.00819 0.00000 0.00859 13 5.490 6.000 0.00040 0.00819 0.00000 0.00859 15 6.404 7.000 0.00040 0.00819 0.00000 0.00859 17 7.319 8.000 0.00040 0.00819 0.00000 0.00859 19 8.234 9.000 0.00040 0.00819 0.00000 0.00859 21 9.149 10.000 0.00040 0.00819 0.00000 0.00859 Summary of Inherent Optical Properties at 675.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.5044 0.4105 0.9149 0.4486 0.00859 0.02092 3 0.915 1.000 0.5044 0.4105 0.9149 0.4486 0.00859 0.02092 5 1.830 2.000 0.5044 0.4105 0.9149 0.4486 0.00859 0.02092 7 2.745 3.000 0.5044 0.4105 0.9149 0.4486 0.00859 0.02092 9 3.660 4.000 0.5044 0.4105 0.9149 0.4486 0.00859 0.02092 11 4.575 5.000 0.5044 0.4105 0.9149 0.4486 0.00859 0.02092 13 5.490 6.000 0.5044 0.4105 0.9149 0.4486 0.00859 0.02092 15 6.404 7.000 0.5044 0.4105 0.9149 0.4486 0.00859 0.02092 17 7.319 8.000 0.5044 0.4105 0.9149 0.4486 0.00859 0.02092 19 8.234 9.000 0.5044 0.4105 0.9149 0.4486 0.00859 0.02092 21 9.149 10.000 0.5044 0.4105 0.9149 0.4486 0.00859 0.02092 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.2593E-01 8 20.00 5.0618E-01 7 30.00 2.4905E-01 6 40.00 1.0943E-01 5 50.00 4.7222E-02 4 60.00 2.1409E-02 3 70.00 1.0561E-02 2 80.00 5.7423E-03 1 87.50 3.8510E-03 1 92.50 3.0156E-03 2 100.00 2.2227E-03 3 110.00 1.5938E-03 4 120.00 1.2389E-03 5 130.00 1.0366E-03 6 140.00 9.2111E-04 7 150.00 8.5613E-04 8 160.00 8.2096E-04 9 170.00 8.0384E-04 10 180.00 7.9807E-04 Asymptotic AOP values are MUu(inf) = 0.3798 MUd(inf) = 0.8631 MU(inf) = 0.8458 R(inf) = 0.0062 Lu(inf)/Ed(inf) = 0.001394 (1/sr) k(inf) = 0.5964 (1/m) absorp(check) = 0.5045 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 675.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.0579E-01 1.6493E+00 1.7551E+00 4.4558E-02 1.3659E+00 0.4212 0.8281 0.7528 3.2622E-02 1 0.00 0.00 2.7055E-02 1.4121E+00 1.4392E+00 1.1685E-02 1.3330E+00 0.4319 0.9440 0.9181 8.7662E-03 3 0.91 1.00 1.8776E-02 8.3527E-01 8.5404E-01 8.1337E-03 7.7260E-01 0.4332 0.9250 0.8951 1.0528E-02 5 1.83 2.00 1.3201E-02 4.8730E-01 5.0050E-01 5.7977E-03 4.4487E-01 0.4392 0.9129 0.8773 1.3032E-02 7 2.74 3.00 9.5625E-03 2.8292E-01 2.9248E-01 4.2677E-03 2.5531E-01 0.4463 0.9024 0.8583 1.6716E-02 9 3.66 4.00 7.1546E-03 1.6411E-01 1.7126E-01 3.2434E-03 1.4634E-01 0.4533 0.8917 0.8356 2.2163E-02 11 4.57 5.00 5.5164E-03 9.5419E-02 1.0094E-01 2.5352E-03 8.3948E-02 0.4596 0.8798 0.8066 3.0200E-02 13 5.49 6.00 4.3627E-03 5.5824E-02 6.0187E-02 2.0273E-03 4.8313E-02 0.4647 0.8655 0.7690 4.1962E-02 15 6.40 7.00 3.5197E-03 3.3015E-02 3.6534E-02 1.6495E-03 2.7986E-02 0.4686 0.8477 0.7209 5.8939E-02 17 7.32 8.00 2.8818E-03 1.9851E-02 2.2733E-02 1.3589E-03 1.6385E-02 0.4715 0.8254 0.6610 8.2933E-02 19 8.23 9.00 2.3842E-03 1.2217E-02 1.4602E-02 1.1291E-03 9.7491E-03 0.4736 0.7980 0.5903 1.1582E-01 21 9.15 10.00 1.9865E-03 7.7510E-03 9.7375E-03 9.4355E-04 5.9336E-03 0.4750 0.7655 0.5125 1.5902E-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 0.35256 0.50936 0.50641 0.36532 0.53996 0.54150 0.37363 1.000 1.010 1.005 0.36474 0.53455 0.53082 0.35360 0.54950 0.55159 0.34445 2.000 2.010 2.005 0.33886 0.54208 0.53671 0.32317 0.55402 0.55707 0.30959 3.000 3.010 3.005 0.30661 0.54472 0.53693 0.29026 0.55624 0.56076 0.27601 4.000 4.010 4.005 0.27479 0.54397 0.53271 0.25983 0.55649 0.56323 0.24689 5.000 5.010 5.005 0.24681 0.53979 0.52375 0.23426 0.55455 0.56454 0.22356 6.000 6.010 6.005 0.22410 0.53143 0.50912 0.21427 0.54982 0.56454 0.20602 7.000 7.010 7.005 0.20687 0.51790 0.48789 0.19953 0.54140 0.56285 0.19348 8.000 8.010 8.005 0.19444 0.49806 0.45952 0.18915 0.52817 0.55888 0.18490 9.000 9.010 9.005 0.18583 0.47119 0.42454 0.18216 0.50892 0.55180 0.17927 10.000 10.010 10.005 0.18026 0.43739 0.38488 0.17771 0.48272 0.54050 0.17573 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 3.26906E-01 1.68879E-03 5.26220E-02 5.43108E-02 1.23642E-03 0.160970 9 1 10.0 0.0 180.0 1.43324E-01 1.71194E-03 2.26748E-02 2.43867E-02 1.25337E-03 0.158206 9 4 10.0 45.0 135.0 1.60211E-01 1.70445E-03 2.61556E-02 2.78600E-02 1.24788E-03 0.163257 9 7 10.0 90.0 90.0 2.23665E-01 1.69901E-03 3.97265E-02 4.14256E-02 1.24390E-03 0.177617 8 1 20.0 0.0 180.0 8.56818E-02 1.71979E-03 7.09974E-03 8.81954E-03 1.25912E-03 0.082862 8 4 20.0 45.0 135.0 9.56112E-02 1.70262E-03 9.24534E-03 1.09480E-02 1.24654E-03 0.096697 8 7 20.0 90.0 90.0 1.34365E-01 1.69748E-03 1.90455E-02 2.07430E-02 1.24278E-03 0.141745 7 1 30.0 0.0 180.0 6.03708E-02 1.73424E-03 2.19673E-03 3.93098E-03 1.26970E-03 0.036387 7 4 30.0 45.0 135.0 6.59282E-02 1.73196E-03 2.84137E-03 4.57333E-03 1.26802E-03 0.043098 7 7 30.0 90.0 90.0 8.66656E-02 1.71684E-03 6.17865E-03 7.89549E-03 1.25695E-03 0.071293 6 1 40.0 0.0 180.0 4.95927E-02 1.73520E-03 1.45844E-03 3.19364E-03 1.27040E-03 0.029408 6 4 40.0 45.0 135.0 5.30981E-02 1.73076E-03 1.60892E-03 3.33968E-03 1.26715E-03 0.030301 6 7 40.0 90.0 90.0 6.51823E-02 1.71562E-03 2.38668E-03 4.10230E-03 1.25606E-03 0.036615 5 1 50.0 0.0 180.0 4.59340E-02 1.74816E-03 1.85747E-03 3.60563E-03 1.27988E-03 0.040438 5 4 50.0 45.0 135.0 4.85144E-02 1.73417E-03 1.95877E-03 3.69294E-03 1.26965E-03 0.040375 5 7 50.0 90.0 90.0 5.68034E-02 1.71896E-03 2.32831E-03 4.04727E-03 1.25851E-03 0.040989 4 1 60.0 0.0 180.0 4.76440E-02 1.71476E-03 3.65684E-03 5.37159E-03 1.25543E-03 0.076753 4 4 60.0 45.0 135.0 4.97042E-02 1.69837E-03 3.77028E-03 5.46865E-03 1.24344E-03 0.075854 4 7 60.0 90.0 90.0 5.62356E-02 1.70118E-03 4.22608E-03 5.92725E-03 1.24549E-03 0.075150 3 1 70.0 0.0 180.0 5.71388E-02 1.58616E-03 9.14365E-03 1.07298E-02 1.16128E-03 0.160025 3 4 70.0 45.0 135.0 5.86490E-02 1.58710E-03 9.36151E-03 1.09486E-02 1.16197E-03 0.159619 3 7 70.0 90.0 90.0 6.39618E-02 1.58538E-03 1.01837E-02 1.17690E-02 1.16071E-03 0.159215 2 1 80.0 0.0 180.0 8.52078E-02 1.35610E-03 2.17214E-02 2.30775E-02 9.92845E-04 0.254922 2 4 80.0 45.0 135.0 8.56189E-02 1.35257E-03 2.25447E-02 2.38973E-02 9.90262E-04 0.263315 2 7 80.0 90.0 90.0 8.90211E-02 1.34808E-03 2.41365E-02 2.54846E-02 9.86974E-04 0.271133 1 1 87.5 0.0 180.0 1.28453E-01 1.09224E-03 3.78486E-02 3.89408E-02 7.99663E-04 0.294649 1 4 87.5 45.0 135.0 1.26915E-01 1.03651E-03 4.03928E-02 4.14293E-02 7.58860E-04 0.318267 1 7 87.5 90.0 90.0 1.26679E-01 1.13943E-03 4.25763E-02 4.37158E-02 8.34216E-04 0.336097 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 5.431E-02 3.269E-01 8.370E-02 8.520E-02 9.122E-02 3.976E-02 8.204E-01 1.689E-03 1.236E-03 1 0.00 0.00 3.135E-03 5.673E+00 6.148E-03 6.775E-03 7.539E-03 2.352E-03 3.728E+00 3 0.91 1.00 2.187E-03 3.092E+00 4.383E-03 4.911E-03 5.771E-03 2.831E-03 3.718E+00 5 1.83 2.00 1.577E-03 1.681E+00 3.006E-03 3.330E-03 3.857E-03 3.546E-03 3.675E+00 7 2.74 3.00 1.177E-03 9.124E-01 2.103E-03 2.295E-03 2.605E-03 4.612E-03 3.624E+00 9 3.66 4.00 9.071E-04 4.946E-01 1.517E-03 1.628E-03 1.807E-03 6.199E-03 3.576E+00 11 4.57 5.00 7.174E-04 2.679E-01 1.131E-03 1.194E-03 1.296E-03 8.546E-03 3.534E+00 13 5.49 6.00 5.791E-04 1.452E-01 8.683E-04 9.042E-04 9.614E-04 1.199E-02 3.501E+00 15 6.40 7.00 4.745E-04 7.878E-02 6.843E-04 7.044E-04 7.363E-04 1.695E-02 3.476E+00 17 7.32 8.00 3.928E-04 4.283E-02 5.503E-04 5.616E-04 5.792E-04 2.398E-02 3.459E+00 19 8.23 9.00 3.276E-04 2.337E-02 4.494E-04 4.557E-04 4.654E-04 3.360E-02 3.447E+00 21 9.15 10.00 2.744E-04 1.282E-02 3.711E-04 3.745E-04 3.798E-04 4.624E-02 3.439E+00 Waveband 33 of 40 completed in 4.1 sec. * * * * * Output for wavelength band 34 (680.0 to 690.0 nm; nominal wavelength = 685.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 31.4 m at 685.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 680.0 nm to 690.0 nm: Ed(diffuse) = 2.824E-01 Ed(direct) = 9.745E-01 Ed(total) = 1.257E+00 Absorption Coefficients of Individual Components at 685.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.4860 0.0433 0.0007 0.5300 3 0.934 1.000 0.4860 0.0433 0.0007 0.5300 5 1.869 2.000 0.4860 0.0433 0.0007 0.5300 7 2.803 3.000 0.4860 0.0433 0.0007 0.5300 9 3.738 4.000 0.4860 0.0433 0.0007 0.5300 11 4.672 5.000 0.4860 0.0433 0.0007 0.5300 13 5.607 6.000 0.4860 0.0433 0.0007 0.5300 15 6.541 7.000 0.4860 0.0433 0.0007 0.5300 17 7.475 8.000 0.4860 0.0433 0.0007 0.5300 19 8.410 9.000 0.4860 0.0433 0.0007 0.5300 21 9.344 10.000 0.4860 0.0433 0.0007 0.5300 Scattering Coefficients of Individual Components at 685.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0007 0.4037 0.0000 0.4044 3 0.934 1.000 0.0007 0.4037 0.0000 0.4044 5 1.869 2.000 0.0007 0.4037 0.0000 0.4044 7 2.803 3.000 0.0007 0.4037 0.0000 0.4044 9 3.738 4.000 0.0007 0.4037 0.0000 0.4044 11 4.672 5.000 0.0007 0.4037 0.0000 0.4044 13 5.607 6.000 0.0007 0.4037 0.0000 0.4044 15 6.541 7.000 0.0007 0.4037 0.0000 0.4044 17 7.475 8.000 0.0007 0.4037 0.0000 0.4044 19 8.410 9.000 0.0007 0.4037 0.0000 0.4044 21 9.344 10.000 0.0007 0.4037 0.0000 0.4044 Backscattering Coefficients of Individual Components at 685.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00037 0.00807 0.00000 0.00844 3 0.934 1.000 0.00037 0.00807 0.00000 0.00844 5 1.869 2.000 0.00037 0.00807 0.00000 0.00844 7 2.803 3.000 0.00037 0.00807 0.00000 0.00844 9 3.738 4.000 0.00037 0.00807 0.00000 0.00844 11 4.672 5.000 0.00037 0.00807 0.00000 0.00844 13 5.607 6.000 0.00037 0.00807 0.00000 0.00844 15 6.541 7.000 0.00037 0.00807 0.00000 0.00844 17 7.475 8.000 0.00037 0.00807 0.00000 0.00844 19 8.410 9.000 0.00037 0.00807 0.00000 0.00844 21 9.344 10.000 0.00037 0.00807 0.00000 0.00844 Summary of Inherent Optical Properties at 685.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.5300 0.4044 0.9344 0.4328 0.00844 0.02088 3 0.934 1.000 0.5300 0.4044 0.9344 0.4328 0.00844 0.02088 5 1.869 2.000 0.5300 0.4044 0.9344 0.4328 0.00844 0.02088 7 2.803 3.000 0.5300 0.4044 0.9344 0.4328 0.00844 0.02088 9 3.738 4.000 0.5300 0.4044 0.9344 0.4328 0.00844 0.02088 11 4.672 5.000 0.5300 0.4044 0.9344 0.4328 0.00844 0.02088 13 5.607 6.000 0.5300 0.4044 0.9344 0.4328 0.00844 0.02088 15 6.541 7.000 0.5300 0.4044 0.9344 0.4328 0.00844 0.02088 17 7.475 8.000 0.5300 0.4044 0.9344 0.4328 0.00844 0.02088 19 8.410 9.000 0.5300 0.4044 0.9344 0.4328 0.00844 0.02088 21 9.344 10.000 0.5300 0.4044 0.9344 0.4328 0.00844 0.02088 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.1864E-01 8 20.00 4.9124E-01 7 30.00 2.3548E-01 6 40.00 1.0102E-01 5 50.00 4.2822E-02 4 60.00 1.9205E-02 3 70.00 9.4220E-03 2 80.00 5.1109E-03 1 87.50 3.4255E-03 1 92.50 2.6834E-03 2 100.00 1.9785E-03 3 110.00 1.4198E-03 4 120.00 1.1051E-03 5 130.00 9.2618E-04 6 140.00 8.2444E-04 7 150.00 7.6746E-04 8 160.00 7.3679E-04 9 170.00 7.2195E-04 10 180.00 7.1697E-04 Asymptotic AOP values are MUu(inf) = 0.3805 MUd(inf) = 0.8676 MU(inf) = 0.8515 R(inf) = 0.0058 Lu(inf)/Ed(inf) = 0.001302 (1/sr) k(inf) = 0.6225 (1/m) absorp(check) = 0.5300 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 685.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 9.8796E-02 1.5163E+00 1.6151E+00 4.1912E-02 1.2569E+00 0.4242 0.8289 0.7522 3.3346E-02 1 0.00 0.00 2.8770E-02 1.3023E+00 1.3311E+00 1.2681E-02 1.2277E+00 0.4408 0.9427 0.9128 1.0329E-02 3 0.93 1.00 2.0532E-02 7.5177E-01 7.7230E-01 9.1194E-03 6.9421E-01 0.4442 0.9234 0.8871 1.3136E-02 5 1.87 2.00 1.4985E-02 4.2884E-01 4.4382E-01 6.7553E-03 3.9035E-01 0.4508 0.9103 0.8643 1.7306E-02 7 2.80 3.00 1.1302E-02 2.4406E-01 2.5536E-01 5.1710E-03 2.1909E-01 0.4575 0.8977 0.8377 2.3602E-02 9 3.74 4.00 8.7900E-03 1.3929E-01 1.4808E-01 4.0733E-03 1.2310E-01 0.4634 0.8838 0.8038 3.3091E-02 11 4.67 5.00 7.0119E-03 8.0121E-02 8.7133E-02 3.2819E-03 6.9456E-02 0.4681 0.8669 0.7595 4.7252E-02 13 5.61 6.00 5.7018E-03 4.6735E-02 5.2437E-02 2.6885E-03 3.9524E-02 0.4715 0.8457 0.7025 6.8022E-02 15 6.54 7.00 4.7004E-03 2.7848E-02 3.2548E-02 2.2278E-03 2.2808E-02 0.4740 0.8190 0.6323 9.7678E-02 17 7.48 8.00 3.9110E-03 1.7093E-02 2.1004E-02 1.8602E-03 1.3441E-02 0.4756 0.7864 0.5514 1.3840E-01 19 8.41 9.00 3.2743E-03 1.0896E-02 1.4171E-02 1.5609E-03 8.1561E-03 0.4767 0.7485 0.4654 1.9137E-01 21 9.34 10.00 2.7493E-03 7.2592E-03 1.0009E-02 1.3125E-03 5.1390E-03 0.4774 0.7079 0.3823 2.5540E-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 0.33617 0.53563 0.53132 0.33889 0.56494 0.56730 0.34007 1.000 1.010 1.005 0.33080 0.55799 0.55195 0.31711 0.57377 0.57719 0.30572 2.000 2.010 2.005 0.29930 0.56344 0.55451 0.28373 0.57712 0.58229 0.27059 3.000 3.010 3.005 0.26642 0.56301 0.54987 0.25236 0.57751 0.58539 0.24047 4.000 4.010 4.005 0.23819 0.55776 0.53876 0.22659 0.57496 0.58691 0.21700 5.000 5.010 5.005 0.21588 0.54700 0.52032 0.20710 0.56877 0.58674 0.19993 6.000 6.010 6.005 0.19958 0.52955 0.49362 0.19325 0.55775 0.58441 0.18818 7.000 7.010 7.005 0.18826 0.50411 0.45843 0.18388 0.54045 0.57912 0.18046 8.000 8.010 8.005 0.18076 0.47015 0.41620 0.17778 0.51541 0.56975 0.17559 9.000 9.010 9.005 0.17546 0.42865 0.37009 0.17375 0.48185 0.55490 0.17265 10.000 10.010 10.005 0.17355 0.38257 0.32510 0.17226 0.44040 0.53254 0.17137 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 2.99060E-01 1.86997E-03 4.84750E-02 5.03450E-02 1.48779E-03 0.162092 9 1 10.0 0.0 180.0 1.31116E-01 1.89331E-03 2.08793E-02 2.27726E-02 1.50635E-03 0.159243 9 4 10.0 45.0 135.0 1.46564E-01 1.88575E-03 2.40863E-02 2.59720E-02 1.50034E-03 0.164339 9 7 10.0 90.0 90.0 2.04610E-01 1.88142E-03 3.65914E-02 3.84728E-02 1.49689E-03 0.178835 8 1 20.0 0.0 180.0 7.83833E-02 1.90071E-03 6.52945E-03 8.43016E-03 1.51224E-03 0.083302 8 4 20.0 45.0 135.0 8.74670E-02 1.88289E-03 8.50564E-03 1.03885E-02 1.49806E-03 0.097244 8 7 20.0 90.0 90.0 1.22920E-01 1.87981E-03 1.75343E-02 1.94141E-02 1.49561E-03 0.142649 7 1 30.0 0.0 180.0 5.52284E-02 1.91547E-03 2.01397E-03 3.92944E-03 1.52398E-03 0.036466 7 4 30.0 45.0 135.0 6.03124E-02 1.91449E-03 2.60707E-03 4.52156E-03 1.52320E-03 0.043226 7 7 30.0 90.0 90.0 7.92833E-02 1.90107E-03 5.67943E-03 7.58050E-03 1.51252E-03 0.071635 6 1 40.0 0.0 180.0 4.53684E-02 1.91488E-03 1.33443E-03 3.24931E-03 1.52351E-03 0.029413 6 4 40.0 45.0 135.0 4.85751E-02 1.91175E-03 1.47238E-03 3.38413E-03 1.52103E-03 0.030311 6 7 40.0 90.0 90.0 5.96300E-02 1.89856E-03 2.18647E-03 4.08503E-03 1.51053E-03 0.036667 5 1 50.0 0.0 180.0 4.20213E-02 1.92694E-03 1.69927E-03 3.62622E-03 1.53311E-03 0.040438 5 4 50.0 45.0 135.0 4.43819E-02 1.91322E-03 1.79192E-03 3.70514E-03 1.52219E-03 0.040375 5 7 50.0 90.0 90.0 5.19648E-02 1.89941E-03 2.13012E-03 4.02953E-03 1.51121E-03 0.040992 4 1 60.0 0.0 180.0 4.35856E-02 1.88739E-03 3.34534E-03 5.23273E-03 1.50164E-03 0.076753 4 4 60.0 45.0 135.0 4.54703E-02 1.87081E-03 3.44912E-03 5.31994E-03 1.48845E-03 0.075854 4 7 60.0 90.0 90.0 5.14454E-02 1.87598E-03 3.86610E-03 5.74208E-03 1.49257E-03 0.075150 3 1 70.0 0.0 180.0 5.22716E-02 1.74174E-03 8.36479E-03 1.01065E-02 1.38576E-03 0.160025 3 4 70.0 45.0 135.0 5.36532E-02 1.74368E-03 8.56409E-03 1.03078E-02 1.38731E-03 0.159619 3 7 70.0 90.0 90.0 5.85134E-02 1.74219E-03 9.31621E-03 1.10584E-02 1.38612E-03 0.159215 2 1 80.0 0.0 180.0 7.79497E-02 1.48519E-03 1.98711E-02 2.13563E-02 1.18165E-03 0.254922 2 4 80.0 45.0 135.0 7.83258E-02 1.48163E-03 2.06244E-02 2.21060E-02 1.17881E-03 0.263315 2 7 80.0 90.0 90.0 8.14382E-02 1.47581E-03 2.20806E-02 2.35564E-02 1.17418E-03 0.271133 1 1 87.5 0.0 180.0 1.17511E-01 1.19226E-03 3.46246E-02 3.58169E-02 9.48582E-04 0.294649 1 4 87.5 45.0 135.0 1.16104E-01 1.13131E-03 3.69521E-02 3.80834E-02 9.00091E-04 0.318267 1 7 87.5 90.0 90.0 1.15888E-01 1.24148E-03 3.89497E-02 4.01911E-02 9.87748E-04 0.336097 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 5.035E-02 2.991E-01 7.666E-02 7.804E-02 8.354E-02 4.006E-02 8.325E-01 1.870E-03 1.488E-03 1 0.00 0.00 3.471E-03 5.225E+00 6.408E-03 6.964E-03 7.618E-03 2.827E-03 3.653E+00 3 0.93 1.00 2.513E-03 2.781E+00 4.542E-03 4.987E-03 5.714E-03 3.620E-03 3.629E+00 5 1.87 2.00 1.885E-03 1.476E+00 3.212E-03 3.477E-03 3.910E-03 4.828E-03 3.584E+00 7 2.80 3.00 1.461E-03 7.825E-01 2.338E-03 2.490E-03 2.737E-03 6.667E-03 3.540E+00 9 3.74 4.00 1.163E-03 4.143E-01 1.759E-03 1.845E-03 1.984E-03 9.447E-03 3.503E+00 11 4.67 5.00 9.447E-04 2.194E-01 1.366E-03 1.413E-03 1.490E-03 1.360E-02 3.474E+00 13 5.61 6.00 7.785E-04 1.162E-01 1.088E-03 1.114E-03 1.156E-03 1.970E-02 3.453E+00 15 6.54 7.00 6.477E-04 6.175E-02 8.831E-04 8.974E-04 9.202E-04 2.840E-02 3.439E+00 17 7.48 8.00 5.423E-04 3.293E-02 7.269E-04 7.347E-04 7.470E-04 4.035E-02 3.430E+00 19 8.41 9.00 4.558E-04 1.768E-02 6.041E-04 6.083E-04 6.149E-04 5.588E-02 3.425E+00 21 9.34 10.00 3.837E-04 9.589E-03 5.051E-04 5.074E-04 5.109E-04 7.466E-02 3.421E+00 Waveband 34 of 40 completed in 4.2 sec. * * * * * Output for wavelength band 35 (690.0 to 700.0 nm; nominal wavelength = 695.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 30.3 m at 695.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 690.0 nm to 700.0 nm: Ed(diffuse) = 2.711E-01 Ed(direct) = 9.427E-01 Ed(total) = 1.214E+00 Absorption Coefficients of Individual Components at 695.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.5590 0.0268 0.0006 0.5864 3 0.985 1.000 0.5590 0.0268 0.0006 0.5864 5 1.970 2.000 0.5590 0.0268 0.0006 0.5864 7 2.955 3.000 0.5590 0.0268 0.0006 0.5864 9 3.940 4.000 0.5590 0.0268 0.0006 0.5864 11 4.925 5.000 0.5590 0.0268 0.0006 0.5864 13 5.910 6.000 0.5590 0.0268 0.0006 0.5864 15 6.895 7.000 0.5590 0.0268 0.0006 0.5864 17 7.880 8.000 0.5590 0.0268 0.0006 0.5864 19 8.865 9.000 0.5590 0.0268 0.0006 0.5864 21 9.850 10.000 0.5590 0.0268 0.0006 0.5864 Scattering Coefficients of Individual Components at 695.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0007 0.3979 0.0000 0.3986 3 0.985 1.000 0.0007 0.3979 0.0000 0.3986 5 1.970 2.000 0.0007 0.3979 0.0000 0.3986 7 2.955 3.000 0.0007 0.3979 0.0000 0.3986 9 3.940 4.000 0.0007 0.3979 0.0000 0.3986 11 4.925 5.000 0.0007 0.3979 0.0000 0.3986 13 5.910 6.000 0.0007 0.3979 0.0000 0.3986 15 6.895 7.000 0.0007 0.3979 0.0000 0.3986 17 7.880 8.000 0.0007 0.3979 0.0000 0.3986 19 8.865 9.000 0.0007 0.3979 0.0000 0.3986 21 9.850 10.000 0.0007 0.3979 0.0000 0.3986 Backscattering Coefficients of Individual Components at 695.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00035 0.00796 0.00000 0.00831 3 0.985 1.000 0.00035 0.00796 0.00000 0.00831 5 1.970 2.000 0.00035 0.00796 0.00000 0.00831 7 2.955 3.000 0.00035 0.00796 0.00000 0.00831 9 3.940 4.000 0.00035 0.00796 0.00000 0.00831 11 4.925 5.000 0.00035 0.00796 0.00000 0.00831 13 5.910 6.000 0.00035 0.00796 0.00000 0.00831 15 6.895 7.000 0.00035 0.00796 0.00000 0.00831 17 7.880 8.000 0.00035 0.00796 0.00000 0.00831 19 8.865 9.000 0.00035 0.00796 0.00000 0.00831 21 9.850 10.000 0.00035 0.00796 0.00000 0.00831 Summary of Inherent Optical Properties at 695.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.5864 0.3986 0.9850 0.4047 0.00831 0.02084 3 0.985 1.000 0.5864 0.3986 0.9850 0.4047 0.00831 0.02084 5 1.970 2.000 0.5864 0.3986 0.9850 0.4047 0.00831 0.02084 7 2.955 3.000 0.5864 0.3986 0.9850 0.4047 0.00831 0.02084 9 3.940 4.000 0.5864 0.3986 0.9850 0.4047 0.00831 0.02084 11 4.925 5.000 0.5864 0.3986 0.9850 0.4047 0.00831 0.02084 13 5.910 6.000 0.5864 0.3986 0.9850 0.4047 0.00831 0.02084 15 6.895 7.000 0.5864 0.3986 0.9850 0.4047 0.00831 0.02084 17 7.880 8.000 0.5864 0.3986 0.9850 0.4047 0.00831 0.02084 19 8.865 9.000 0.5864 0.3986 0.9850 0.4047 0.00831 0.02084 21 9.850 10.000 0.5864 0.3986 0.9850 0.4047 0.00831 0.02084 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.0471E-01 8 20.00 4.6377E-01 7 30.00 2.1171E-01 6 40.00 8.6933E-02 5 50.00 3.5720E-02 4 60.00 1.5735E-02 3 70.00 7.6543E-03 2 80.00 4.1387E-03 1 87.50 2.7724E-03 1 92.50 2.1739E-03 2 100.00 1.6042E-03 3 110.00 1.1533E-03 4 120.00 9.0012E-04 5 130.00 7.5686E-04 6 140.00 6.7592E-04 7 150.00 6.3100E-04 8 160.00 6.0711E-04 9 170.00 5.9567E-04 10 180.00 5.9186E-04 Asymptotic AOP values are MUu(inf) = 0.3820 MUd(inf) = 0.8755 MU(inf) = 0.8612 R(inf) = 0.0051 Lu(inf)/Ed(inf) = 0.001152 (1/sr) k(inf) = 0.6810 (1/m) absorp(check) = 0.5864 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 695.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 9.2460E-02 1.4631E+00 1.5555E+00 3.9027E-02 1.2138E+00 0.4221 0.8297 0.7553 3.2152E-02 1 0.00 0.00 2.1371E-02 1.2525E+00 1.2739E+00 9.2881E-03 1.1841E+00 0.4346 0.9454 0.9222 7.8440E-03 3 0.98 1.00 1.4274E-02 6.7937E-01 6.9365E-01 6.2646E-03 6.3040E-01 0.4389 0.9279 0.8998 9.9376E-03 5 1.97 2.00 9.8604E-03 3.6401E-01 3.7387E-01 4.4103E-03 3.3362E-01 0.4473 0.9165 0.8805 1.3220E-02 7 2.95 3.00 7.1428E-03 1.9456E-01 2.0171E-01 3.2563E-03 1.7619E-01 0.4559 0.9056 0.8573 1.8482E-02 9 3.94 4.00 5.4100E-03 1.0428E-01 1.0969E-01 2.5068E-03 9.3121E-02 0.4634 0.8930 0.8261 2.6920E-02 11 4.92 5.00 4.2488E-03 5.6359E-02 6.0608E-02 1.9934E-03 4.9431E-02 0.4692 0.8771 0.7827 4.0327E-02 13 5.91 6.00 3.4272E-03 3.0942E-02 3.4369E-02 1.6221E-03 2.6483E-02 0.4733 0.8559 0.7234 6.1251E-02 15 6.89 7.00 2.8155E-03 1.7424E-02 2.0239E-02 1.3404E-03 1.4421E-02 0.4761 0.8276 0.6463 9.2953E-02 17 7.88 8.00 2.3403E-03 1.0181E-02 1.2521E-02 1.1184E-03 8.0563E-03 0.4779 0.7913 0.5541 1.3882E-01 19 8.86 9.00 1.9594E-03 6.2457E-03 8.2051E-03 9.3851E-04 4.6710E-03 0.4790 0.7479 0.4549 2.0092E-01 21 9.85 10.00 1.6472E-03 4.0585E-03 5.7057E-03 7.9005E-04 2.8447E-03 0.4796 0.7009 0.3601 2.7773E-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 0.40124 0.59617 0.59290 0.40653 0.62489 0.62662 0.40777 1.000 1.010 1.005 0.39258 0.62057 0.61588 0.37529 0.63427 0.63687 0.36015 2.000 2.010 2.005 0.34698 0.62613 0.61876 0.32706 0.63788 0.64205 0.30964 3.000 3.010 3.005 0.29948 0.62586 0.61428 0.28137 0.63854 0.64528 0.26572 4.000 4.010 4.005 0.25859 0.62048 0.60260 0.24404 0.63612 0.64699 0.23174 5.000 5.010 5.005 0.22712 0.60875 0.58195 0.21647 0.62959 0.64699 0.20764 6.000 6.010 6.005 0.20493 0.58856 0.55024 0.19759 0.61722 0.64466 0.19165 7.000 7.010 7.005 0.19023 0.55758 0.50640 0.18541 0.59667 0.63891 0.18162 8.000 8.010 8.005 0.18098 0.51449 0.45207 0.17796 0.56548 0.62808 0.17566 9.000 9.010 9.005 0.17555 0.46048 0.39237 0.17367 0.52209 0.60989 0.17233 10.000 10.010 10.005 0.17268 0.40043 0.33462 0.17148 0.46758 0.58166 0.17067 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 2.87123E-01 1.35624E-03 4.68649E-02 4.82211E-02 1.11732E-03 0.163222 9 1 10.0 0.0 180.0 1.25883E-01 1.37420E-03 2.01775E-02 2.15517E-02 1.13211E-03 0.160288 9 4 10.0 45.0 135.0 1.40715E-01 1.36831E-03 2.32785E-02 2.46468E-02 1.12726E-03 0.165430 9 7 10.0 90.0 90.0 1.96440E-01 1.36423E-03 3.53716E-02 3.67359E-02 1.12389E-03 0.180063 8 1 20.0 0.0 180.0 7.52548E-02 1.37983E-03 6.30220E-03 7.68203E-03 1.13674E-03 0.083745 8 4 20.0 45.0 135.0 8.39759E-02 1.36624E-03 8.21244E-03 9.57868E-03 1.12555E-03 0.097795 8 7 20.0 90.0 90.0 1.18013E-01 1.36253E-03 1.69420E-02 1.83045E-02 1.12250E-03 0.143560 7 1 30.0 0.0 180.0 5.30241E-02 1.39060E-03 1.93779E-03 3.32840E-03 1.14562E-03 0.036546 7 4 30.0 45.0 135.0 5.79051E-02 1.38902E-03 2.51050E-03 3.89952E-03 1.14432E-03 0.043355 7 7 30.0 90.0 90.0 7.61189E-02 1.37739E-03 5.47896E-03 6.85635E-03 1.13474E-03 0.071979 6 1 40.0 0.0 180.0 4.35576E-02 1.39004E-03 1.28139E-03 2.67143E-03 1.14516E-03 0.029418 6 4 40.0 45.0 135.0 4.66363E-02 1.38674E-03 1.41409E-03 2.80083E-03 1.14244E-03 0.030322 6 7 40.0 90.0 90.0 5.72500E-02 1.37505E-03 2.10219E-03 3.47724E-03 1.13281E-03 0.036719 5 1 50.0 0.0 180.0 4.03441E-02 1.39894E-03 1.63148E-03 3.03042E-03 1.15249E-03 0.040439 5 4 50.0 45.0 135.0 4.26105E-02 1.38795E-03 1.72040E-03 3.10835E-03 1.14344E-03 0.040375 5 7 50.0 90.0 90.0 4.98907E-02 1.37601E-03 2.04524E-03 3.42125E-03 1.13360E-03 0.040994 4 1 60.0 0.0 180.0 4.18460E-02 1.37061E-03 3.21182E-03 4.58243E-03 1.12915E-03 0.076753 4 4 60.0 45.0 135.0 4.36555E-02 1.35764E-03 3.31146E-03 4.66910E-03 1.11846E-03 0.075854 4 7 60.0 90.0 90.0 4.93920E-02 1.35984E-03 3.71179E-03 5.07163E-03 1.12028E-03 0.075150 3 1 70.0 0.0 180.0 5.01853E-02 1.26591E-03 8.03093E-03 9.29683E-03 1.04290E-03 0.160025 3 4 70.0 45.0 135.0 5.15117E-02 1.26665E-03 8.22227E-03 9.48892E-03 1.04351E-03 0.159619 3 7 70.0 90.0 90.0 5.61780E-02 1.26483E-03 8.94437E-03 1.02092E-02 1.04201E-03 0.159215 2 1 80.0 0.0 180.0 7.48385E-02 1.08066E-03 1.90780E-02 2.01587E-02 8.90286E-04 0.254922 2 4 80.0 45.0 135.0 7.51996E-02 1.07772E-03 1.98012E-02 2.08789E-02 8.87859E-04 0.263315 2 7 80.0 90.0 90.0 7.81878E-02 1.07346E-03 2.11993E-02 2.22727E-02 8.84353E-04 0.271133 1 1 87.5 0.0 180.0 1.12821E-01 8.68972E-04 3.32426E-02 3.41116E-02 7.15886E-04 0.294649 1 4 87.5 45.0 135.0 1.11470E-01 8.24458E-04 3.54772E-02 3.63017E-02 6.79214E-04 0.318267 1 7 87.5 90.0 90.0 1.11263E-01 9.05419E-04 3.73951E-02 3.83005E-02 7.45913E-04 0.336097 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 4.822E-02 2.871E-01 7.347E-02 7.478E-02 8.007E-02 3.973E-02 8.093E-01 1.356E-03 1.117E-03 1 0.00 0.00 2.518E-03 5.051E+00 4.852E-03 5.332E-03 5.907E-03 2.126E-03 3.689E+00 3 0.98 1.00 1.714E-03 2.544E+00 3.253E-03 3.617E-03 4.211E-03 2.718E-03 3.656E+00 5 1.97 2.00 1.227E-03 1.278E+00 2.158E-03 2.361E-03 2.692E-03 3.676E-03 3.596E+00 7 2.95 3.00 9.207E-04 6.407E-01 1.493E-03 1.603E-03 1.781E-03 5.226E-03 3.537E+00 9 3.94 4.00 7.187E-04 3.209E-01 1.084E-03 1.142E-03 1.236E-03 7.718E-03 3.488E+00 11 4.92 5.00 5.775E-04 1.607E-01 8.230E-04 8.533E-04 9.020E-04 1.168E-02 3.452E+00 13 5.91 6.00 4.733E-04 8.052E-02 6.471E-04 6.628E-04 6.879E-04 1.787E-02 3.427E+00 15 6.89 7.00 3.930E-04 4.044E-02 5.222E-04 5.303E-04 5.431E-04 2.725E-02 3.411E+00 17 7.88 8.00 3.288E-04 2.040E-02 4.291E-04 4.332E-04 4.397E-04 4.081E-02 3.401E+00 19 8.86 9.00 2.764E-04 1.037E-02 3.566E-04 3.586E-04 3.619E-04 5.917E-02 3.396E+00 21 9.85 10.00 2.329E-04 5.337E-03 2.984E-04 2.995E-04 3.011E-04 8.187E-02 3.392E+00 Waveband 35 of 40 completed in 4.2 sec. * * * * * Output for wavelength band 36 (700.0 to 710.0 nm; nominal wavelength = 705.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 28.0 m at 705.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 700.0 nm to 710.0 nm: Ed(diffuse) = 2.710E-01 Ed(direct) = 9.491E-01 Ed(total) = 1.220E+00 Absorption Coefficients of Individual Components at 705.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.7040 0.0165 0.0005 0.7210 3 1.114 1.000 0.7040 0.0165 0.0005 0.7210 5 2.228 2.000 0.7040 0.0165 0.0005 0.7210 7 3.342 3.000 0.7040 0.0165 0.0005 0.7210 9 4.456 4.000 0.7040 0.0165 0.0005 0.7210 11 5.570 5.000 0.7040 0.0165 0.0005 0.7210 13 6.683 6.000 0.7040 0.0165 0.0005 0.7210 15 7.797 7.000 0.7040 0.0165 0.0005 0.7210 17 8.911 8.000 0.7040 0.0165 0.0005 0.7210 19 10.025 9.000 0.7040 0.0165 0.0005 0.7210 21 11.139 10.000 0.7040 0.0165 0.0005 0.7210 Scattering Coefficients of Individual Components at 705.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0007 0.3923 0.0000 0.3929 3 1.114 1.000 0.0007 0.3923 0.0000 0.3929 5 2.228 2.000 0.0007 0.3923 0.0000 0.3929 7 3.342 3.000 0.0007 0.3923 0.0000 0.3929 9 4.456 4.000 0.0007 0.3923 0.0000 0.3929 11 5.570 5.000 0.0007 0.3923 0.0000 0.3929 13 6.683 6.000 0.0007 0.3923 0.0000 0.3929 15 7.797 7.000 0.0007 0.3923 0.0000 0.3929 17 8.911 8.000 0.0007 0.3923 0.0000 0.3929 19 10.025 9.000 0.0007 0.3923 0.0000 0.3929 21 11.139 10.000 0.0007 0.3923 0.0000 0.3929 Backscattering Coefficients of Individual Components at 705.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00033 0.00785 0.00000 0.00817 3 1.114 1.000 0.00033 0.00785 0.00000 0.00817 5 2.228 2.000 0.00033 0.00785 0.00000 0.00817 7 3.342 3.000 0.00033 0.00785 0.00000 0.00817 9 4.456 4.000 0.00033 0.00785 0.00000 0.00817 11 5.570 5.000 0.00033 0.00785 0.00000 0.00817 13 6.683 6.000 0.00033 0.00785 0.00000 0.00817 15 7.797 7.000 0.00033 0.00785 0.00000 0.00817 17 8.911 8.000 0.00033 0.00785 0.00000 0.00817 19 10.025 9.000 0.00033 0.00785 0.00000 0.00817 21 11.139 10.000 0.00033 0.00785 0.00000 0.00817 Summary of Inherent Optical Properties at 705.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.7210 0.3929 1.1139 0.3527 0.00817 0.02080 3 1.114 1.000 0.7210 0.3929 1.1139 0.3527 0.00817 0.02080 5 2.228 2.000 0.7210 0.3929 1.1139 0.3527 0.00817 0.02080 7 3.342 3.000 0.7210 0.3929 1.1139 0.3527 0.00817 0.02080 9 4.456 4.000 0.7210 0.3929 1.1139 0.3527 0.00817 0.02080 11 5.570 5.000 0.7210 0.3929 1.1139 0.3527 0.00817 0.02080 13 6.683 6.000 0.7210 0.3929 1.1139 0.3527 0.00817 0.02080 15 7.797 7.000 0.7210 0.3929 1.1139 0.3527 0.00817 0.02080 17 8.911 8.000 0.7210 0.3929 1.1139 0.3527 0.00817 0.02080 19 10.025 9.000 0.7210 0.3929 1.1139 0.3527 0.00817 0.02080 21 11.139 10.000 0.7210 0.3929 1.1139 0.3527 0.00817 0.02080 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 7.7506E-01 8 20.00 4.0988E-01 7 30.00 1.6938E-01 6 40.00 6.3938E-02 5 50.00 2.4852E-02 4 60.00 1.0636E-02 3 70.00 5.1141E-03 2 80.00 2.7563E-03 1 87.50 1.8472E-03 1 92.50 1.4518E-03 2 100.00 1.0738E-03 3 110.00 7.7502E-04 4 120.00 6.0829E-04 5 130.00 5.1470E-04 6 140.00 4.6250E-04 7 150.00 4.3406E-04 8 160.00 4.1930E-04 9 170.00 4.1240E-04 10 180.00 4.1013E-04 Asymptotic AOP values are MUu(inf) = 0.3848 MUd(inf) = 0.8897 MU(inf) = 0.8782 R(inf) = 0.0040 Lu(inf)/Ed(inf) = 0.000917 (1/sr) k(inf) = 0.8210 (1/m) absorp(check) = 0.7211 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 705.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 8.9013E-02 1.4693E+00 1.5583E+00 3.7252E-02 1.2201E+00 0.4185 0.8304 0.7590 3.0533E-02 1 0.00 0.00 1.2579E-02 1.2519E+00 1.2644E+00 5.2488E-03 1.1881E+00 0.4173 0.9490 0.9354 4.4179E-03 3 1.11 1.00 6.7716E-03 5.8610E-01 5.9287E-01 2.8450E-03 5.4804E-01 0.4201 0.9351 0.9196 5.1912E-03 5 2.23 2.00 3.8142E-03 2.7080E-01 2.7462E-01 1.6415E-03 2.5109E-01 0.4304 0.9272 0.9083 6.5377E-03 7 3.34 3.00 2.3323E-03 1.2463E-01 1.2696E-01 1.0344E-03 1.1466E-01 0.4435 0.9200 0.8950 9.0209E-03 9 4.46 4.00 1.5628E-03 5.7375E-02 5.8938E-02 7.1357E-04 5.2315E-02 0.4566 0.9118 0.8755 1.3640E-02 11 5.57 5.00 1.1367E-03 2.6558E-02 2.7695E-02 5.3119E-04 2.3921E-02 0.4673 0.9007 0.8446 2.2206E-02 13 6.68 6.00 8.7926E-04 1.2462E-02 1.3341E-02 4.1745E-04 1.1017E-02 0.4748 0.8841 0.7945 3.7890E-02 15 7.80 7.00 7.0805E-04 6.0059E-03 6.7140E-03 3.3944E-04 5.1554E-03 0.4794 0.8584 0.7173 6.5842E-02 17 8.91 8.00 5.8392E-04 3.0314E-03 3.6153E-03 2.8148E-04 2.4851E-03 0.4821 0.8198 0.6095 1.1327E-01 19 10.03 9.00 4.8789E-04 1.6418E-03 2.1297E-03 2.3589E-04 1.2596E-03 0.4835 0.7672 0.4807 1.8727E-01 21 11.14 10.00 4.1038E-04 9.7494E-04 1.3853E-03 1.9871E-04 6.8818E-04 0.4842 0.7059 0.3533 2.8875E-01 K-functions (units of 1/meter) at 705.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.60209 0.74020 0.73883 0.62235 0.76748 0.76812 0.63254 1.000 1.010 1.005 0.60691 0.76831 0.76646 0.58805 0.77805 0.77904 0.56945 2.000 2.010 2.005 0.53637 0.77484 0.77153 0.50802 0.78257 0.78438 0.48031 3.000 3.010 3.005 0.44610 0.77658 0.77050 0.41532 0.78468 0.78804 0.38634 4.000 4.010 4.005 0.35668 0.77400 0.76291 0.32988 0.78424 0.79054 0.30577 5.000 5.010 5.005 0.28410 0.76508 0.74530 0.26452 0.77993 0.79166 0.24763 6.000 6.010 6.005 0.23382 0.74583 0.71201 0.22124 0.76909 0.79072 0.21076 7.000 7.010 7.005 0.20282 0.71032 0.65668 0.19541 0.74728 0.78629 0.18945 8.000 8.010 8.005 0.18521 0.65219 0.57661 0.18110 0.70824 0.77578 0.17795 9.000 9.010 9.005 0.17590 0.56939 0.47911 0.17371 0.64573 0.75481 0.17215 10.000 10.010 10.005 0.17152 0.47045 0.38180 0.17033 0.55885 0.71701 0.16956 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 705.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 2.87009E-01 7.41451E-04 4.71519E-02 4.78934E-02 6.07714E-04 0.164287 9 1 10.0 0.0 180.0 1.25833E-01 7.53115E-04 2.02934E-02 2.10465E-02 6.17275E-04 0.161273 9 4 10.0 45.0 135.0 1.40659E-01 7.49221E-04 2.34138E-02 2.41630E-02 6.14084E-04 0.166457 9 7 10.0 90.0 90.0 1.96360E-01 7.45426E-04 3.55843E-02 3.63297E-02 6.10972E-04 0.181220 8 1 20.0 0.0 180.0 7.52250E-02 7.56881E-04 6.33111E-03 7.08799E-03 6.20361E-04 0.084162 8 4 20.0 45.0 135.0 8.39426E-02 7.48351E-04 8.25276E-03 9.00111E-03 6.13370E-04 0.098314 8 7 20.0 90.0 90.0 1.17967E-01 7.43893E-04 1.70365E-02 1.77804E-02 6.09716E-04 0.144418 7 1 30.0 0.0 180.0 5.30030E-02 7.63241E-04 1.94099E-03 2.70423E-03 6.25575E-04 0.036620 7 4 30.0 45.0 135.0 5.78821E-02 7.60930E-04 2.51655E-03 3.27748E-03 6.23680E-04 0.043477 7 7 30.0 90.0 90.0 7.60887E-02 7.51423E-04 5.50146E-03 6.25288E-03 6.15888E-04 0.072303 6 1 40.0 0.0 180.0 4.35403E-02 7.63282E-04 1.28108E-03 2.04436E-03 6.25608E-04 0.029423 6 4 40.0 45.0 135.0 4.66178E-02 7.59767E-04 1.41399E-03 2.17375E-03 6.22727E-04 0.030331 6 7 40.0 90.0 90.0 5.72273E-02 7.49860E-04 2.10417E-03 2.85403E-03 6.14607E-04 0.036769 5 1 50.0 0.0 180.0 4.03281E-02 7.68959E-04 1.63086E-03 2.39982E-03 6.30261E-04 0.040440 5 4 50.0 45.0 135.0 4.25936E-02 7.61232E-04 1.71972E-03 2.48095E-03 6.23927E-04 0.040375 5 7 50.0 90.0 90.0 4.98709E-02 7.51494E-04 2.04455E-03 2.79605E-03 6.15946E-04 0.040997 4 1 60.0 0.0 180.0 4.18294E-02 7.54564E-04 3.21055E-03 3.96511E-03 6.18463E-04 0.076753 4 4 60.0 45.0 135.0 4.36382E-02 7.45886E-04 3.31014E-03 4.05603E-03 6.11350E-04 0.075854 4 7 60.0 90.0 90.0 4.93724E-02 7.44527E-04 3.71032E-03 4.45484E-03 6.10236E-04 0.075150 3 1 70.0 0.0 180.0 5.01654E-02 6.99224E-04 8.02774E-03 8.72696E-03 5.73105E-04 0.160025 3 4 70.0 45.0 135.0 5.14913E-02 6.98528E-04 8.21900E-03 8.91753E-03 5.72534E-04 0.159619 3 7 70.0 90.0 90.0 5.61557E-02 6.96291E-04 8.94082E-03 9.63712E-03 5.70701E-04 0.159215 2 1 80.0 0.0 180.0 7.48088E-02 5.99307E-04 1.90704E-02 1.96697E-02 4.91210E-04 0.254922 2 4 80.0 45.0 135.0 7.51697E-02 5.97091E-04 1.97933E-02 2.03904E-02 4.89393E-04 0.263315 2 7 80.0 90.0 90.0 7.81568E-02 5.94658E-04 2.11908E-02 2.17855E-02 4.87399E-04 0.271133 1 1 87.5 0.0 180.0 1.12776E-01 4.84584E-04 3.32294E-02 3.37140E-02 3.97179E-04 0.294649 1 4 87.5 45.0 135.0 1.11426E-01 4.59596E-04 3.54631E-02 3.59227E-02 3.76698E-04 0.318267 1 7 87.5 90.0 90.0 1.11219E-01 5.05793E-04 3.73802E-02 3.78860E-02 4.14563E-04 0.336097 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 705.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 4.789E-02 2.870E-01 7.325E-02 7.455E-02 7.984E-02 3.925E-02 7.778E-01 7.415E-04 6.077E-04 1 0.00 0.00 1.376E-03 5.082E+00 3.016E-03 3.408E-03 3.887E-03 1.159E-03 3.813E+00 3 1.11 1.00 7.521E-04 2.239E+00 1.700E-03 1.957E-03 2.377E-03 1.372E-03 3.783E+00 5 2.23 2.00 4.444E-04 9.836E-01 9.141E-04 1.037E-03 1.238E-03 1.770E-03 3.694E+00 7 3.34 3.00 2.882E-04 4.311E-01 5.237E-04 5.808E-04 6.739E-04 2.513E-03 3.589E+00 9 4.46 4.00 2.042E-04 1.887E-01 3.271E-04 3.532E-04 3.956E-04 3.903E-03 3.494E+00 11 5.57 5.00 1.551E-04 8.250E-02 2.237E-04 2.355E-04 2.545E-04 6.486E-03 3.424E+00 13 6.68 6.00 1.236E-04 3.608E-02 1.652E-04 1.705E-04 1.790E-04 1.122E-02 3.378E+00 15 7.80 7.00 1.013E-04 1.580E-02 1.291E-04 1.315E-04 1.352E-04 1.964E-02 3.352E+00 17 8.91 8.00 8.435E-05 6.949E-03 1.046E-04 1.056E-04 1.073E-04 3.394E-02 3.337E+00 19 10.03 9.00 7.084E-05 3.080E-03 8.651E-05 8.697E-05 8.769E-05 5.624E-02 3.330E+00 21 11.14 10.00 5.973E-05 1.387E-03 7.239E-05 7.259E-05 7.290E-05 8.680E-02 3.327E+00 Waveband 36 of 40 completed in 4.4 sec. * * * * * Output for wavelength band 37 (710.0 to 720.0 nm; nominal wavelength = 715.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 24.3 m at 715.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 710.0 nm to 720.0 nm: Ed(diffuse) = 2.478E-01 Ed(direct) = 8.736E-01 Ed(total) = 1.121E+00 Absorption Coefficients of Individual Components at 715.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 1.0070 0.0072 0.0004 1.0147 3 1.402 1.000 1.0070 0.0072 0.0004 1.0147 5 2.804 2.000 1.0070 0.0072 0.0004 1.0147 7 4.206 3.000 1.0070 0.0072 0.0004 1.0147 9 5.608 4.000 1.0070 0.0072 0.0004 1.0147 11 7.010 5.000 1.0070 0.0072 0.0004 1.0147 13 8.412 6.000 1.0070 0.0072 0.0004 1.0147 15 9.814 7.000 1.0070 0.0072 0.0004 1.0147 17 11.216 8.000 1.0070 0.0072 0.0004 1.0147 19 12.618 9.000 1.0070 0.0072 0.0004 1.0147 21 14.020 10.000 1.0070 0.0072 0.0004 1.0147 Scattering Coefficients of Individual Components at 715.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0006 0.3868 0.0000 0.3874 3 1.402 1.000 0.0006 0.3868 0.0000 0.3874 5 2.804 2.000 0.0006 0.3868 0.0000 0.3874 7 4.206 3.000 0.0006 0.3868 0.0000 0.3874 9 5.608 4.000 0.0006 0.3868 0.0000 0.3874 11 7.010 5.000 0.0006 0.3868 0.0000 0.3874 13 8.412 6.000 0.0006 0.3868 0.0000 0.3874 15 9.814 7.000 0.0006 0.3868 0.0000 0.3874 17 11.216 8.000 0.0006 0.3868 0.0000 0.3874 19 12.618 9.000 0.0006 0.3868 0.0000 0.3874 21 14.020 10.000 0.0006 0.3868 0.0000 0.3874 Backscattering Coefficients of Individual Components at 715.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00031 0.00774 0.00000 0.00804 3 1.402 1.000 0.00031 0.00774 0.00000 0.00804 5 2.804 2.000 0.00031 0.00774 0.00000 0.00804 7 4.206 3.000 0.00031 0.00774 0.00000 0.00804 9 5.608 4.000 0.00031 0.00774 0.00000 0.00804 11 7.010 5.000 0.00031 0.00774 0.00000 0.00804 13 8.412 6.000 0.00031 0.00774 0.00000 0.00804 15 9.814 7.000 0.00031 0.00774 0.00000 0.00804 17 11.216 8.000 0.00031 0.00774 0.00000 0.00804 19 12.618 9.000 0.00031 0.00774 0.00000 0.00804 21 14.020 10.000 0.00031 0.00774 0.00000 0.00804 Summary of Inherent Optical Properties at 715.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 1.0147 0.3874 1.4020 0.2763 0.00804 0.02076 3 1.402 1.000 1.0147 0.3874 1.4020 0.2763 0.00804 0.02076 5 2.804 2.000 1.0147 0.3874 1.4020 0.2763 0.00804 0.02076 7 4.206 3.000 1.0147 0.3874 1.4020 0.2763 0.00804 0.02076 9 5.608 4.000 1.0147 0.3874 1.4020 0.2763 0.00804 0.02076 11 7.010 5.000 1.0147 0.3874 1.4020 0.2763 0.00804 0.02076 13 8.412 6.000 1.0147 0.3874 1.4020 0.2763 0.00804 0.02076 15 9.814 7.000 1.0147 0.3874 1.4020 0.2763 0.00804 0.02076 17 11.216 8.000 1.0147 0.3874 1.4020 0.2763 0.00804 0.02076 19 12.618 9.000 1.0147 0.3874 1.4020 0.2763 0.00804 0.02076 21 14.020 10.000 1.0147 0.3874 1.4020 0.2763 0.00804 0.02076 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 7.1793E-01 8 20.00 3.2187E-01 7 30.00 1.1167E-01 6 40.00 3.6937E-02 5 50.00 1.3325E-02 4 60.00 5.5289E-03 3 70.00 2.6372E-03 2 80.00 1.4224E-03 1 87.50 9.5617E-04 1 92.50 7.5479E-04 2 100.00 5.6072E-04 3 110.00 4.0741E-04 4 120.00 3.2255E-04 5 130.00 2.7553E-04 6 140.00 2.4986E-04 7 150.00 2.3632E-04 8 160.00 2.2959E-04 9 170.00 2.2661E-04 10 180.00 2.2565E-04 Asymptotic AOP values are MUu(inf) = 0.3893 MUd(inf) = 0.9100 MU(inf) = 0.9020 R(inf) = 0.0027 Lu(inf)/Ed(inf) = 0.000637 (1/sr) k(inf) = 1.1251 (1/m) absorp(check) = 1.0148 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 715.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 7.9868E-02 1.3494E+00 1.4293E+00 3.3305E-02 1.1214E+00 0.4170 0.8310 0.7613 2.9700E-02 1 0.00 0.00 7.0134E-03 1.1469E+00 1.1540E+00 2.8479E-03 1.0909E+00 0.4061 0.9512 0.9429 2.6105E-03 3 1.40 1.00 2.5684E-03 3.9263E-01 3.9520E-01 1.0437E-03 3.6972E-01 0.4064 0.9416 0.9329 2.8229E-03 5 2.80 2.00 9.8455E-04 1.3286E-01 1.3384E-01 4.0942E-04 1.2450E-01 0.4158 0.9371 0.9271 3.2885E-03 7 4.21 3.00 4.2899E-04 4.4792E-02 4.5221E-02 1.8611E-04 4.1782E-02 0.4338 0.9328 0.9198 4.4542E-03 9 5.61 4.00 2.2737E-04 1.5100E-02 1.5327E-02 1.0387E-04 1.4003E-02 0.4568 0.9274 0.9068 7.4178E-03 11 7.01 5.00 1.4759E-04 5.1232E-03 5.2708E-03 7.0279E-05 4.7047E-03 0.4762 0.9183 0.8793 1.4938E-02 13 8.41 6.00 1.1053E-04 1.7764E-03 1.8869E-03 5.3876E-05 1.5992E-03 0.4874 0.9002 0.8190 3.3689E-02 15 9.81 7.00 8.9219E-05 6.5080E-04 7.4002E-04 4.3945E-05 5.6156E-04 0.4926 0.8629 0.6995 7.8255E-02 17 11.22 8.00 7.4413E-05 2.6789E-04 3.4230E-04 3.6797E-05 2.1292E-04 0.4945 0.7948 0.5145 1.7282E-01 19 12.62 9.00 6.2853E-05 1.3327E-04 1.9613E-04 3.1118E-05 9.3571E-05 0.4951 0.7021 0.3184 3.3256E-01 21 14.02 10.00 5.3311E-05 8.2123E-05 1.3543E-04 2.6396E-05 5.0713E-05 0.4951 0.6175 0.1796 5.2049E-01 K-functions (units of 1/meter) at 715.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.97105 1.05235 1.05186 1.00193 1.07551 1.07570 1.02009 1.000 1.010 1.005 0.99695 1.08048 1.07994 0.98307 1.08612 1.08641 0.96497 2.000 2.010 2.005 0.90775 1.08597 1.08466 0.87471 1.09042 1.09114 0.83362 3.000 3.010 3.005 0.74035 1.08798 1.08468 0.69009 1.09292 1.09473 0.63294 4.000 4.010 4.005 0.52717 1.08563 1.07733 0.47765 1.09285 1.09746 0.42751 5.000 5.010 5.005 0.34793 1.07362 1.05322 0.31568 1.08707 1.09881 0.28626 6.000 6.010 6.005 0.24259 1.03921 0.99237 0.22682 1.06776 1.09721 0.21382 7.000 7.010 7.005 0.19352 0.95792 0.86545 0.18703 1.01776 1.08861 0.18255 8.000 8.010 8.005 0.17358 0.80233 0.66531 0.17128 0.90855 1.06327 0.17044 9.000 9.010 9.005 0.16638 0.58679 0.45186 0.16578 0.72217 1.00056 0.16634 10.000 10.010 10.005 0.16456 0.38895 0.30056 0.16456 0.50210 0.86978 0.16546 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 715.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 2.62460E-01 3.94267E-04 4.33782E-02 4.37725E-02 3.51585E-04 0.165275 9 1 10.0 0.0 180.0 1.15070E-01 4.01187E-04 1.86627E-02 1.90639E-02 3.57756E-04 0.162186 9 4 10.0 45.0 135.0 1.28629E-01 3.98847E-04 2.15338E-02 2.19327E-02 3.55669E-04 0.167411 9 7 10.0 90.0 90.0 1.79562E-01 3.96200E-04 3.27330E-02 3.31292E-02 3.53308E-04 0.182294 8 1 20.0 0.0 180.0 6.87907E-02 4.03423E-04 5.81625E-03 6.21967E-03 3.59749E-04 0.084550 8 4 20.0 45.0 135.0 7.67627E-02 3.98443E-04 7.58385E-03 7.98230E-03 3.55309E-04 0.098796 8 7 20.0 90.0 90.0 1.07876E-01 3.95084E-04 1.56653E-02 1.60604E-02 3.52313E-04 0.145215 7 1 30.0 0.0 180.0 4.84695E-02 4.06930E-04 1.77833E-03 2.18526E-03 3.62877E-04 0.036690 7 4 30.0 45.0 135.0 5.29313E-02 4.05115E-04 2.30728E-03 2.71239E-03 3.61259E-04 0.043590 7 7 30.0 90.0 90.0 6.95806E-02 3.98764E-04 5.05184E-03 5.45061E-03 3.55596E-04 0.072604 6 1 40.0 0.0 180.0 3.98161E-02 4.06973E-04 1.17168E-03 1.57865E-03 3.62915E-04 0.029427 6 4 40.0 45.0 135.0 4.26304E-02 4.04398E-04 1.29343E-03 1.69783E-03 3.60619E-04 0.030341 6 7 40.0 90.0 90.0 5.23324E-02 3.97641E-04 1.92658E-03 2.32423E-03 3.54594E-04 0.036814 5 1 50.0 0.0 180.0 3.68787E-02 4.10162E-04 1.49138E-03 1.90155E-03 3.65759E-04 0.040440 5 4 50.0 45.0 135.0 3.89504E-02 4.05326E-04 1.57262E-03 1.97795E-03 3.61447E-04 0.040375 5 7 50.0 90.0 90.0 4.56053E-02 3.98724E-04 1.86979E-03 2.26851E-03 3.55560E-04 0.040999 4 1 60.0 0.0 180.0 3.82516E-02 4.02779E-04 2.93594E-03 3.33872E-03 3.59176E-04 0.076753 4 4 60.0 45.0 135.0 3.99056E-02 3.97472E-04 3.02702E-03 3.42449E-03 3.54443E-04 0.075854 4 7 60.0 90.0 90.0 4.51494E-02 3.95515E-04 3.39296E-03 3.78847E-03 3.52698E-04 0.075150 3 1 70.0 0.0 180.0 4.58746E-02 3.73930E-04 7.34110E-03 7.71503E-03 3.33450E-04 0.160025 3 4 70.0 45.0 135.0 4.70871E-02 3.73033E-04 7.51600E-03 7.88904E-03 3.32650E-04 0.159619 3 7 70.0 90.0 90.0 5.13525E-02 3.71071E-04 8.17608E-03 8.54716E-03 3.30900E-04 0.159215 2 1 80.0 0.0 180.0 6.84101E-02 3.21256E-04 1.74393E-02 1.77605E-02 2.86478E-04 0.254922 2 4 80.0 45.0 135.0 6.87402E-02 3.19739E-04 1.81003E-02 1.84201E-02 2.85126E-04 0.263315 2 7 80.0 90.0 90.0 7.14717E-02 3.18110E-04 1.93783E-02 1.96964E-02 2.83672E-04 0.271133 1 1 87.5 0.0 180.0 1.03130E-01 2.60645E-04 3.03872E-02 3.06479E-02 2.32429E-04 0.294649 1 4 87.5 45.0 135.0 1.01895E-01 2.47049E-04 3.24298E-02 3.26769E-02 2.20304E-04 0.318267 1 7 87.5 90.0 90.0 1.01706E-01 2.71991E-04 3.41830E-02 3.44549E-02 2.42546E-04 0.336097 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 715.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 4.377E-02 2.625E-01 6.689E-02 6.808E-02 7.292E-02 3.903E-02 7.609E-01 3.943E-04 3.516E-04 1 0.00 0.00 7.320E-04 4.675E+00 1.776E-03 2.043E-03 2.358E-03 6.710E-04 3.891E+00 3 1.40 1.00 2.695E-04 1.536E+00 6.911E-04 8.133E-04 1.014E-03 7.289E-04 3.873E+00 5 2.80 2.00 1.089E-04 5.031E-01 2.543E-04 2.967E-04 3.661E-04 8.744E-04 3.761E+00 7 4.21 3.00 5.204E-05 1.643E-01 1.021E-04 1.164E-04 1.399E-04 1.246E-03 3.576E+00 9 5.61 4.00 3.070E-05 5.354E-02 4.818E-05 5.296E-05 6.075E-05 2.193E-03 3.383E+00 11 7.01 5.00 2.162E-05 1.743E-02 2.799E-05 2.957E-05 3.213E-05 4.595E-03 3.251E+00 13 8.41 6.00 1.691E-05 5.673E-03 1.950E-05 2.002E-05 2.085E-05 1.058E-02 3.185E+00 15 9.81 7.00 1.391E-05 1.852E-03 1.519E-05 1.536E-05 1.563E-05 2.477E-02 3.160E+00 17 11.22 8.00 1.167E-05 6.100E-04 1.248E-05 1.254E-05 1.262E-05 5.482E-02 3.153E+00 19 12.62 9.00 9.869E-06 2.059E-04 1.049E-05 1.051E-05 1.054E-05 1.055E-01 3.153E+00 21 14.02 10.00 8.363E-06 7.372E-05 8.887E-06 8.893E-06 8.902E-06 1.649E-01 3.156E+00 Waveband 37 of 40 completed in 5.2 sec. * * * * * Output for wavelength band 38 (720.0 to 730.0 nm; nominal wavelength = 725.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 20.7 m at 725.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 720.0 nm to 730.0 nm: Ed(diffuse) = 2.241E-01 Ed(direct) = 7.953E-01 Ed(total) = 1.019E+00 Absorption Coefficients of Individual Components at 725.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 1.4890 0.0031 0.0004 1.4925 3 1.874 1.000 1.4890 0.0031 0.0004 1.4925 5 3.749 2.000 1.4890 0.0031 0.0004 1.4925 7 5.623 3.000 1.4890 0.0031 0.0004 1.4925 9 7.498 4.000 1.4890 0.0031 0.0004 1.4925 11 9.372 5.000 1.4890 0.0031 0.0004 1.4925 13 11.247 6.000 1.4890 0.0031 0.0004 1.4925 15 13.121 7.000 1.4890 0.0031 0.0004 1.4925 17 14.996 8.000 1.4890 0.0031 0.0004 1.4925 19 16.870 9.000 1.4890 0.0031 0.0004 1.4925 21 18.745 10.000 1.4890 0.0031 0.0004 1.4925 Scattering Coefficients of Individual Components at 725.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0006 0.3814 0.0000 0.3820 3 1.874 1.000 0.0006 0.3814 0.0000 0.3820 5 3.749 2.000 0.0006 0.3814 0.0000 0.3820 7 5.623 3.000 0.0006 0.3814 0.0000 0.3820 9 7.498 4.000 0.0006 0.3814 0.0000 0.3820 11 9.372 5.000 0.0006 0.3814 0.0000 0.3820 13 11.247 6.000 0.0006 0.3814 0.0000 0.3820 15 13.121 7.000 0.0006 0.3814 0.0000 0.3820 17 14.996 8.000 0.0006 0.3814 0.0000 0.3820 19 16.870 9.000 0.0006 0.3814 0.0000 0.3820 21 18.745 10.000 0.0006 0.3814 0.0000 0.3820 Backscattering Coefficients of Individual Components at 725.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00029 0.00763 0.00000 0.00792 3 1.874 1.000 0.00029 0.00763 0.00000 0.00792 5 3.749 2.000 0.00029 0.00763 0.00000 0.00792 7 5.623 3.000 0.00029 0.00763 0.00000 0.00792 9 7.498 4.000 0.00029 0.00763 0.00000 0.00792 11 9.372 5.000 0.00029 0.00763 0.00000 0.00792 13 11.247 6.000 0.00029 0.00763 0.00000 0.00792 15 13.121 7.000 0.00029 0.00763 0.00000 0.00792 17 14.996 8.000 0.00029 0.00763 0.00000 0.00792 19 16.870 9.000 0.00029 0.00763 0.00000 0.00792 21 18.745 10.000 0.00029 0.00763 0.00000 0.00792 Summary of Inherent Optical Properties at 725.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 1.4925 0.3820 1.8745 0.2038 0.00792 0.02073 3 1.874 1.000 1.4925 0.3820 1.8745 0.2038 0.00792 0.02073 5 3.749 2.000 1.4925 0.3820 1.8745 0.2038 0.00792 0.02073 7 5.623 3.000 1.4925 0.3820 1.8745 0.2038 0.00792 0.02073 9 7.498 4.000 1.4925 0.3820 1.8745 0.2038 0.00792 0.02073 11 9.372 5.000 1.4925 0.3820 1.8745 0.2038 0.00792 0.02073 13 11.247 6.000 1.4925 0.3820 1.8745 0.2038 0.00792 0.02073 15 13.121 7.000 1.4925 0.3820 1.8745 0.2038 0.00792 0.02073 17 14.996 8.000 1.4925 0.3820 1.8745 0.2038 0.00792 0.02073 19 16.870 9.000 1.4925 0.3820 1.8745 0.2038 0.00792 0.02073 21 18.745 10.000 1.4925 0.3820 1.8745 0.2038 0.00792 0.02073 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 6.3765E-01 8 20.00 2.2768E-01 7 30.00 6.4051E-02 6 40.00 1.8573E-02 5 50.00 6.3311E-03 4 60.00 2.5899E-03 3 70.00 1.2379E-03 2 80.00 6.7153E-04 1 87.50 4.5362E-04 1 92.50 3.5980E-04 2 100.00 2.6859E-04 3 110.00 1.9654E-04 4 120.00 1.5696E-04 5 130.00 1.3532E-04 6 140.00 1.2379E-04 7 150.00 1.1795E-04 8 160.00 1.1521E-04 9 170.00 1.1408E-04 10 180.00 1.1373E-04 Asymptotic AOP values are MUu(inf) = 0.3939 MUd(inf) = 0.9291 MU(inf) = 0.9237 R(inf) = 0.0018 Lu(inf)/Ed(inf) = 0.000424 (1/sr) k(inf) = 1.6160 (1/m) absorp(check) = 1.4927 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 725.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 7.1609E-02 1.2257E+00 1.2973E+00 2.9841E-02 1.0194E+00 0.4167 0.8317 0.7628 2.9274E-02 1 0.00 0.00 4.1602E-03 1.0408E+00 1.0449E+00 1.6767E-03 9.9124E-01 0.4030 0.9524 0.9470 1.6916E-03 3 1.87 1.00 9.0410E-04 2.1522E-01 2.1612E-01 3.6647E-04 2.0399E-01 0.4053 0.9478 0.9422 1.7965E-03 5 3.75 2.00 2.1749E-04 4.4233E-02 4.4451E-02 9.1701E-05 4.1831E-02 0.4216 0.9457 0.9390 2.1921E-03 7 5.62 3.00 7.1724E-05 9.0867E-03 9.1584E-03 3.2846E-05 8.5636E-03 0.4579 0.9424 0.9315 3.8355E-03 9 7.50 4.00 3.7901E-05 1.8804E-03 1.9183E-03 1.8714E-05 1.7581E-03 0.4938 0.9350 0.9067 1.0645E-02 11 9.37 5.00 2.7565E-05 4.0464E-04 4.3221E-04 1.4031E-05 3.6875E-04 0.5090 0.9113 0.8207 3.8049E-02 13 11.25 6.00 2.2490E-05 1.0100E-04 1.2349E-04 1.1525E-05 8.4745E-05 0.5125 0.8391 0.5929 1.3600E-01 15 13.12 7.00 1.8895E-05 3.6520E-05 5.5415E-05 9.6826E-06 2.5667E-05 0.5124 0.7028 0.2885 3.7724E-01 17 15.00 8.00 1.5962E-05 2.1014E-05 3.6976E-05 8.1672E-06 1.2411E-05 0.5117 0.5906 0.1148 6.5807E-01 19 16.87 9.00 1.3483E-05 1.5774E-05 2.9257E-05 6.8865E-06 8.6103E-06 0.5108 0.5458 0.0589 7.9979E-01 21 18.74 10.00 1.1372E-05 1.2917E-05 2.4289E-05 5.7989E-06 6.8845E-06 0.5099 0.5330 0.0447 8.4231E-01 K-functions (units of 1/meter) at 725.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 1.50223 1.55962 1.55939 1.52607 1.57586 1.57595 1.53734 1.000 1.010 1.005 1.50323 1.58106 1.58074 1.48250 1.58316 1.58334 1.44691 2.000 2.010 2.005 1.30865 1.58288 1.58154 1.24589 1.58551 1.58626 1.15090 3.000 3.010 3.005 0.87234 1.58124 1.57567 0.78018 1.58600 1.58912 0.66848 4.000 4.010 4.005 0.43469 1.56463 1.54219 0.38325 1.57779 1.59072 0.33334 5.000 5.010 5.005 0.23820 1.48982 1.40953 0.22370 1.53475 1.58697 0.21358 6.000 6.010 6.005 0.18265 1.24157 1.04788 0.18066 1.37288 1.56185 0.18242 7.000 7.010 7.005 0.17047 0.76633 0.56276 0.17148 0.97043 1.45752 0.17576 8.000 8.010 8.005 0.16905 0.37662 0.28696 0.17062 0.50215 1.14332 0.17509 9.000 9.010 9.005 0.17006 0.22418 0.19924 0.17162 0.26619 0.64487 0.17577 10.000 10.010 10.005 0.17183 0.18340 0.17798 0.17320 0.19527 0.31323 0.17682 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 725.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 2.37334E-01 2.31807E-04 3.94695E-02 3.97013E-02 2.27397E-04 0.166303 9 1 10.0 0.0 180.0 1.04054E-01 2.35984E-04 1.69750E-02 1.72110E-02 2.31494E-04 0.163137 9 4 10.0 45.0 135.0 1.16315E-01 2.34557E-04 1.95877E-02 1.98223E-02 2.30094E-04 0.168402 9 7 10.0 90.0 90.0 1.62370E-01 2.32879E-04 2.97803E-02 3.00132E-02 2.28448E-04 0.183410 8 1 20.0 0.0 180.0 6.22051E-02 2.37289E-04 5.28451E-03 5.52180E-03 2.32774E-04 0.084953 8 4 20.0 45.0 135.0 6.94139E-02 2.34277E-04 6.89261E-03 7.12688E-03 2.29819E-04 0.099297 8 7 20.0 90.0 90.0 9.75491E-02 2.32105E-04 1.42464E-02 1.44785E-02 2.27689E-04 0.146044 7 1 30.0 0.0 180.0 4.38293E-02 2.39302E-04 1.61125E-03 1.85055E-03 2.34748E-04 0.036762 7 4 30.0 45.0 135.0 4.78640E-02 2.38119E-04 2.09202E-03 2.33014E-03 2.33588E-04 0.043708 7 7 30.0 90.0 90.0 6.29194E-02 2.34122E-04 4.58791E-03 4.82203E-03 2.29668E-04 0.072917 6 1 40.0 0.0 180.0 3.60044E-02 2.39199E-04 1.05967E-03 1.29887E-03 2.34648E-04 0.029432 6 4 40.0 45.0 135.0 3.85493E-02 2.37541E-04 1.16997E-03 1.40751E-03 2.33022E-04 0.030350 6 7 40.0 90.0 90.0 4.73225E-02 2.33248E-04 1.74439E-03 1.97764E-03 2.28810E-04 0.036862 5 1 50.0 0.0 180.0 3.33482E-02 2.40957E-04 1.34863E-03 1.58959E-03 2.36373E-04 0.040441 5 4 50.0 45.0 135.0 3.52215E-02 2.37959E-04 1.42207E-03 1.66003E-03 2.33432E-04 0.040375 5 7 50.0 90.0 90.0 4.12394E-02 2.33743E-04 1.69089E-03 1.92463E-03 2.29295E-04 0.041002 4 1 60.0 0.0 180.0 3.45896E-02 2.36518E-04 2.65487E-03 2.89139E-03 2.32018E-04 0.076753 4 4 60.0 45.0 135.0 3.60853E-02 2.33242E-04 2.73723E-03 2.97047E-03 2.28805E-04 0.075854 4 7 60.0 90.0 90.0 4.08271E-02 2.31758E-04 3.06814E-03 3.29990E-03 2.27348E-04 0.075150 3 1 70.0 0.0 180.0 4.14828E-02 2.19528E-04 6.63831E-03 6.85784E-03 2.15351E-04 0.160025 3 4 70.0 45.0 135.0 4.25793E-02 2.18860E-04 6.79647E-03 7.01533E-03 2.14696E-04 0.159619 3 7 70.0 90.0 90.0 4.64364E-02 2.17431E-04 7.39336E-03 7.61079E-03 2.13294E-04 0.159215 2 1 80.0 0.0 180.0 6.18610E-02 1.88598E-04 1.57698E-02 1.59584E-02 1.85010E-04 0.254922 2 4 80.0 45.0 135.0 6.21595E-02 1.87598E-04 1.63675E-02 1.65551E-02 1.84029E-04 0.263315 2 7 80.0 90.0 90.0 6.46295E-02 1.86444E-04 1.75232E-02 1.77096E-02 1.82897E-04 0.271133 1 1 87.5 0.0 180.0 9.32572E-02 1.53060E-04 2.74781E-02 2.76312E-02 1.50148E-04 0.294649 1 4 87.5 45.0 135.0 9.21403E-02 1.45005E-04 2.93252E-02 2.94702E-02 1.42246E-04 0.318267 1 7 87.5 90.0 90.0 9.19691E-02 1.59526E-04 3.09105E-02 3.10700E-02 1.56491E-04 0.336097 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 725.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 3.970E-02 2.373E-01 6.044E-02 6.152E-02 6.589E-02 3.895E-02 7.516E-01 2.318E-04 2.274E-04 1 0.00 0.00 4.304E-04 4.253E+00 1.104E-03 1.281E-03 1.476E-03 4.342E-04 3.896E+00 3 1.87 1.00 9.553E-05 8.668E-01 2.453E-04 2.904E-04 3.645E-04 4.683E-04 3.836E+00 5 3.75 2.00 2.547E-05 1.759E-01 5.514E-05 6.451E-05 7.992E-05 6.088E-04 3.601E+00 7 5.62 3.00 1.020E-05 3.556E-02 1.541E-05 1.732E-05 2.045E-05 1.191E-03 3.219E+00 9 7.50 4.00 6.312E-06 7.174E-03 6.669E-06 7.055E-06 7.683E-06 3.590E-03 2.965E+00 11 9.37 5.00 4.860E-06 1.447E-03 4.378E-06 4.455E-06 4.580E-06 1.318E-02 2.887E+00 13 11.25 6.00 4.002E-06 2.942E-04 3.473E-06 3.489E-06 3.513E-06 4.723E-02 2.880E+00 15 13.12 7.00 3.350E-06 6.213E-05 2.909E-06 2.912E-06 2.917E-06 1.305E-01 2.890E+00 17 15.00 8.00 2.813E-06 1.512E-05 2.464E-06 2.465E-06 2.466E-06 2.266E-01 2.904E+00 19 16.87 9.00 2.361E-06 5.284E-06 2.089E-06 2.090E-06 2.090E-06 2.742E-01 2.917E+00 21 18.74 10.00 1.980E-06 2.956E-06 1.769E-06 1.769E-06 1.769E-06 2.876E-01 2.929E+00 Waveband 38 of 40 completed in 6.4 sec. * * * * * Output for wavelength band 39 (730.0 to 740.0 nm; nominal wavelength = 735.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 18.0 m at 735.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 730.0 nm to 740.0 nm: Ed(diffuse) = 2.426E-01 Ed(direct) = 8.662E-01 Ed(total) = 1.109E+00 Absorption Coefficients of Individual Components at 735.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 2.1289 0.0010 0.0003 2.1303 3 2.507 1.000 2.1289 0.0010 0.0003 2.1303 5 5.014 2.000 2.1289 0.0010 0.0003 2.1303 7 7.521 3.000 2.1289 0.0010 0.0003 2.1303 9 10.028 4.000 2.1289 0.0010 0.0003 2.1303 11 12.535 5.000 2.1289 0.0010 0.0003 2.1303 13 15.042 6.000 2.1289 0.0010 0.0003 2.1303 15 17.549 7.000 2.1289 0.0010 0.0003 2.1303 17 20.056 8.000 2.1289 0.0010 0.0003 2.1303 19 22.563 9.000 2.1289 0.0010 0.0003 2.1303 21 25.071 10.000 2.1289 0.0010 0.0003 2.1303 Scattering Coefficients of Individual Components at 735.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0005 0.3762 0.0000 0.3768 3 2.507 1.000 0.0005 0.3762 0.0000 0.3768 5 5.014 2.000 0.0005 0.3762 0.0000 0.3768 7 7.521 3.000 0.0005 0.3762 0.0000 0.3768 9 10.028 4.000 0.0005 0.3762 0.0000 0.3768 11 12.535 5.000 0.0005 0.3762 0.0000 0.3768 13 15.042 6.000 0.0005 0.3762 0.0000 0.3768 15 17.549 7.000 0.0005 0.3762 0.0000 0.3768 17 20.056 8.000 0.0005 0.3762 0.0000 0.3768 19 22.563 9.000 0.0005 0.3762 0.0000 0.3768 21 25.071 10.000 0.0005 0.3762 0.0000 0.3768 Backscattering Coefficients of Individual Components at 735.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00027 0.00752 0.00000 0.00780 3 2.507 1.000 0.00027 0.00752 0.00000 0.00780 5 5.014 2.000 0.00027 0.00752 0.00000 0.00780 7 7.521 3.000 0.00027 0.00752 0.00000 0.00780 9 10.028 4.000 0.00027 0.00752 0.00000 0.00780 11 12.535 5.000 0.00027 0.00752 0.00000 0.00780 13 15.042 6.000 0.00027 0.00752 0.00000 0.00780 15 17.549 7.000 0.00027 0.00752 0.00000 0.00780 17 20.056 8.000 0.00027 0.00752 0.00000 0.00780 19 22.563 9.000 0.00027 0.00752 0.00000 0.00780 21 25.071 10.000 0.00027 0.00752 0.00000 0.00780 Summary of Inherent Optical Properties at 735.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 2.1303 0.3768 2.5071 0.1503 0.00780 0.02070 3 2.507 1.000 2.1303 0.3768 2.5071 0.1503 0.00780 0.02070 5 5.014 2.000 2.1303 0.3768 2.5071 0.1503 0.00780 0.02070 7 7.521 3.000 2.1303 0.3768 2.5071 0.1503 0.00780 0.02070 9 10.028 4.000 2.1303 0.3768 2.5071 0.1503 0.00780 0.02070 11 12.535 5.000 2.1303 0.3768 2.5071 0.1503 0.00780 0.02070 13 15.042 6.000 2.1303 0.3768 2.5071 0.1503 0.00780 0.02070 15 17.549 7.000 2.1303 0.3768 2.5071 0.1503 0.00780 0.02070 17 20.056 8.000 2.1303 0.3768 2.5071 0.1503 0.00780 0.02070 19 22.563 9.000 2.1303 0.3768 2.5071 0.1503 0.00780 0.02070 21 25.071 10.000 2.1303 0.3768 2.5071 0.1503 0.00780 0.02070 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 5.4616E-01 8 20.00 1.5212E-01 7 30.00 3.5291E-02 6 40.00 9.3068E-03 5 50.00 3.0894E-03 4 60.00 1.2650E-03 3 70.00 6.0907E-04 2 80.00 3.3273E-04 1 87.50 2.2579E-04 1 92.50 1.7979E-04 2 100.00 1.3474E-04 3 110.00 9.9155E-05 4 120.00 7.9723E-05 5 130.00 6.9226E-05 6 140.00 6.3751E-05 7 150.00 6.1077E-05 8 160.00 5.9901E-05 9 170.00 5.9456E-05 10 180.00 5.9328E-05 Asymptotic AOP values are MUu(inf) = 0.3974 MUd(inf) = 0.9435 MU(inf) = 0.9398 R(inf) = 0.0012 Lu(inf)/Ed(inf) = 0.000292 (1/sr) k(inf) = 2.2671 (1/m) absorp(check) = 2.1307 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 735.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 7.7167E-02 1.3322E+00 1.4093E+00 3.2171E-02 1.1088E+00 0.4169 0.8323 0.7639 2.9015E-02 1 0.00 0.00 3.1071E-03 1.1308E+00 1.1339E+00 1.2488E-03 1.0778E+00 0.4019 0.9532 0.9495 1.1586E-03 3 2.51 1.00 3.5284E-04 1.1989E-01 1.2024E-01 1.4454E-04 1.1430E-01 0.4096 0.9534 0.9494 1.2646E-03 5 5.01 2.00 5.6797E-05 1.2751E-02 1.2807E-02 2.5546E-05 1.2144E-02 0.4498 0.9525 0.9462 2.1035E-03 7 7.52 3.00 2.2241E-05 1.3700E-03 1.3923E-03 1.1221E-05 1.2961E-03 0.5045 0.9460 0.9229 8.6576E-03 9 10.03 4.00 1.5883E-05 1.5978E-04 1.7567E-04 8.2608E-06 1.4493E-04 0.5201 0.9070 0.7780 5.7000E-02 11 12.54 5.00 1.2924E-05 2.9197E-05 4.2121E-05 6.7318E-06 2.1886E-05 0.5209 0.7496 0.3598 3.0758E-01 13 15.04 6.00 1.0683E-05 1.3311E-05 2.3994E-05 5.5510E-06 7.7749E-06 0.5196 0.5841 0.0927 7.1397E-01 15 17.55 7.00 8.8300E-06 9.8691E-06 1.8699E-05 4.5761E-06 5.3344E-06 0.5182 0.5405 0.0406 8.5784E-01 17 20.06 8.00 7.2854E-06 8.0282E-06 1.5314E-05 3.7667E-06 4.2813E-06 0.5170 0.5333 0.0336 8.7979E-01 19 22.56 9.00 6.0009E-06 6.6035E-06 1.2604E-05 3.0960E-06 3.5095E-06 0.5159 0.5315 0.0328 8.8217E-01 21 25.07 10.00 4.9353E-06 5.4322E-06 1.0368E-05 2.5414E-06 2.8815E-06 0.5149 0.5304 0.0328 8.8199E-01 K-functions (units of 1/meter) at 735.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 2.19405 2.23628 2.23616 2.20281 2.24354 2.24359 2.20086 1.000 1.010 1.005 2.08907 2.24291 2.24246 2.04290 2.24250 2.24276 1.96212 2.000 2.010 2.005 1.43166 2.23839 2.23480 1.29413 2.24099 2.24300 1.10871 3.000 3.010 3.005 0.51860 2.21355 2.18624 0.45192 2.22818 2.24383 0.38698 4.000 4.010 4.005 0.23430 2.02581 1.86250 0.22617 2.11741 2.23288 0.22330 5.000 5.010 5.005 0.19390 1.24495 0.92128 0.19547 1.53193 2.13138 0.20154 6.000 6.010 6.005 0.19064 0.43083 0.32382 0.19333 0.58572 1.57194 0.19983 7.000 7.010 7.005 0.19227 0.22415 0.20909 0.19461 0.25255 0.60288 0.20051 8.000 8.010 8.005 0.19396 0.19627 0.19517 0.19605 0.20192 0.24489 0.20132 9.000 9.010 9.005 0.19543 0.19428 0.19483 0.19730 0.19659 0.19130 0.20202 10.000 10.010 10.005 0.19709 0.19516 0.19608 0.19870 0.19697 0.18403 0.20283 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 735.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 2.56861E-01 1.72793E-04 4.29673E-02 4.31401E-02 1.55843E-04 0.167278 9 1 10.0 0.0 180.0 1.12615E-01 1.75936E-04 1.84731E-02 1.86491E-02 1.58678E-04 0.164038 9 4 10.0 45.0 135.0 1.25886E-01 1.74857E-04 2.13178E-02 2.14927E-02 1.57705E-04 0.169343 9 7 10.0 90.0 90.0 1.75727E-01 1.73569E-04 3.24163E-02 3.25898E-02 1.56543E-04 0.184470 8 1 20.0 0.0 180.0 6.73232E-02 1.76899E-04 5.74505E-03 5.92194E-03 1.59546E-04 0.085335 8 4 20.0 45.0 135.0 7.51251E-02 1.74628E-04 7.49542E-03 7.67005E-03 1.57498E-04 0.099773 8 7 20.0 90.0 90.0 1.05575E-01 1.72948E-04 1.55016E-02 1.56745E-02 1.55983E-04 0.146830 7 1 30.0 0.0 180.0 4.74355E-02 1.78375E-04 1.74707E-03 1.92545E-03 1.60878E-04 0.036830 7 4 30.0 45.0 135.0 5.18021E-02 1.77458E-04 2.26992E-03 2.44737E-03 1.60050E-04 0.043819 7 7 30.0 90.0 90.0 6.80962E-02 1.74395E-04 4.98561E-03 5.16001E-03 1.57288E-04 0.073214 6 1 40.0 0.0 180.0 3.89667E-02 1.78242E-04 1.14702E-03 1.32526E-03 1.60757E-04 0.029436 6 4 40.0 45.0 135.0 4.17210E-02 1.76959E-04 1.26661E-03 1.44357E-03 1.59600E-04 0.030359 6 7 40.0 90.0 90.0 5.12160E-02 1.73653E-04 1.89022E-03 2.06388E-03 1.56618E-04 0.036907 5 1 50.0 0.0 180.0 3.60920E-02 1.79491E-04 1.45961E-03 1.63910E-03 1.61884E-04 0.040441 5 4 50.0 45.0 135.0 3.81195E-02 1.77204E-04 1.53907E-03 1.71628E-03 1.59822E-04 0.040375 5 7 50.0 90.0 90.0 4.46324E-02 1.73944E-04 1.83011E-03 2.00406E-03 1.56881E-04 0.041004 4 1 60.0 0.0 180.0 3.74356E-02 1.76123E-04 2.87331E-03 3.04943E-03 1.58846E-04 0.076753 4 4 60.0 45.0 135.0 3.90543E-02 1.73628E-04 2.96244E-03 3.13607E-03 1.56596E-04 0.075854 4 7 60.0 90.0 90.0 4.41863E-02 1.72396E-04 3.32058E-03 3.49297E-03 1.55485E-04 0.075150 3 1 70.0 0.0 180.0 4.48959E-02 1.63418E-04 7.18449E-03 7.34791E-03 1.47388E-04 0.160025 3 4 70.0 45.0 135.0 4.60826E-02 1.62868E-04 7.35567E-03 7.51853E-03 1.46891E-04 0.159619 3 7 70.0 90.0 90.0 5.02570E-02 1.61687E-04 8.00167E-03 8.16335E-03 1.45827E-04 0.159215 2 1 80.0 0.0 180.0 6.69508E-02 1.40359E-04 1.70672E-02 1.72076E-02 1.26590E-04 0.254922 2 4 80.0 45.0 135.0 6.72738E-02 1.39570E-04 1.77142E-02 1.78538E-02 1.25879E-04 0.263315 2 7 80.0 90.0 90.0 6.99471E-02 1.38617E-04 1.89649E-02 1.91035E-02 1.25020E-04 0.271133 1 1 87.5 0.0 180.0 1.00930E-01 1.13895E-04 2.97390E-02 2.98529E-02 1.02722E-04 0.294649 1 4 87.5 45.0 135.0 9.97214E-02 1.07869E-04 3.17380E-02 3.18459E-02 9.72874E-05 0.318267 1 7 87.5 90.0 90.0 9.95361E-02 1.18600E-04 3.34537E-02 3.35723E-02 1.06966E-04 0.336097 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 735.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 4.314E-02 2.569E-01 6.539E-02 6.655E-02 7.129E-02 3.891E-02 7.457E-01 1.728E-04 1.558E-04 1 0.00 0.00 3.208E-04 4.630E+00 8.693E-04 1.016E-03 1.162E-03 2.976E-04 3.893E+00 3 2.51 1.00 3.857E-05 4.983E-01 9.410E-05 1.114E-04 1.399E-04 3.375E-04 3.747E+00 5 5.01 2.00 7.870E-06 5.336E-02 1.274E-05 1.458E-05 1.762E-05 6.480E-04 3.246E+00 7 7.52 3.00 3.950E-06 5.689E-03 3.706E-06 3.899E-06 4.216E-06 3.048E-03 2.840E+00 9 10.03 4.00 2.983E-06 6.072E-04 2.373E-06 2.393E-06 2.426E-06 2.058E-02 2.769E+00 11 12.54 5.00 2.423E-06 6.679E-05 1.911E-06 1.913E-06 1.916E-06 1.107E-01 2.779E+00 13 15.04 6.00 1.984E-06 9.127E-06 1.587E-06 1.587E-06 1.588E-06 2.552E-01 2.798E+00 15 17.55 7.00 1.625E-06 2.664E-06 1.320E-06 1.320E-06 1.320E-06 3.046E-01 2.816E+00 17 20.06 8.00 1.330E-06 1.675E-06 1.095E-06 1.095E-06 1.095E-06 3.106E-01 2.833E+00 19 22.56 9.00 1.087E-06 1.317E-06 9.066E-07 9.066E-07 9.066E-07 3.098E-01 2.848E+00 21 25.07 10.00 8.883E-07 1.072E-06 7.489E-07 7.489E-07 7.489E-07 3.083E-01 2.861E+00 Waveband 39 of 40 completed in 7.8 sec. * * * * * Output for wavelength band 40 (740.0 to 750.0 nm; nominal wavelength = 745.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 17.1 m at 745.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 740.0 nm to 750.0 nm: Ed(diffuse) = 2.537E-01 Ed(direct) = 9.117E-01 Ed(total) = 1.165E+00 Absorption Coefficients of Individual Components at 745.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 2.4590 0.0000 0.0003 2.4593 3 2.831 1.000 2.4590 0.0000 0.0003 2.4593 5 5.662 2.000 2.4590 0.0000 0.0003 2.4593 7 8.493 3.000 2.4590 0.0000 0.0003 2.4593 9 11.324 4.000 2.4590 0.0000 0.0003 2.4593 11 14.155 5.000 2.4590 0.0000 0.0003 2.4593 13 16.986 6.000 2.4590 0.0000 0.0003 2.4593 15 19.817 7.000 2.4590 0.0000 0.0003 2.4593 17 22.648 8.000 2.4590 0.0000 0.0003 2.4593 19 25.479 9.000 2.4590 0.0000 0.0003 2.4593 21 28.310 10.000 2.4590 0.0000 0.0003 2.4593 Scattering Coefficients of Individual Components at 745.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0005 0.3712 0.0000 0.3717 3 2.831 1.000 0.0005 0.3712 0.0000 0.3717 5 5.662 2.000 0.0005 0.3712 0.0000 0.3717 7 8.493 3.000 0.0005 0.3712 0.0000 0.3717 9 11.324 4.000 0.0005 0.3712 0.0000 0.3717 11 14.155 5.000 0.0005 0.3712 0.0000 0.3717 13 16.986 6.000 0.0005 0.3712 0.0000 0.3717 15 19.817 7.000 0.0005 0.3712 0.0000 0.3717 17 22.648 8.000 0.0005 0.3712 0.0000 0.3717 19 25.479 9.000 0.0005 0.3712 0.0000 0.3717 21 28.310 10.000 0.0005 0.3712 0.0000 0.3717 Backscattering Coefficients of Individual Components at 745.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00026 0.00742 0.00000 0.00768 3 2.831 1.000 0.00026 0.00742 0.00000 0.00768 5 5.662 2.000 0.00026 0.00742 0.00000 0.00768 7 8.493 3.000 0.00026 0.00742 0.00000 0.00768 9 11.324 4.000 0.00026 0.00742 0.00000 0.00768 11 14.155 5.000 0.00026 0.00742 0.00000 0.00768 13 16.986 6.000 0.00026 0.00742 0.00000 0.00768 15 19.817 7.000 0.00026 0.00742 0.00000 0.00768 17 22.648 8.000 0.00026 0.00742 0.00000 0.00768 19 25.479 9.000 0.00026 0.00742 0.00000 0.00768 21 28.310 10.000 0.00026 0.00742 0.00000 0.00768 Summary of Inherent Optical Properties at 745.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 2.4593 0.3717 2.8310 0.1313 0.00768 0.02067 3 2.831 1.000 2.4593 0.3717 2.8310 0.1313 0.00768 0.02067 5 5.662 2.000 2.4593 0.3717 2.8310 0.1313 0.00768 0.02067 7 8.493 3.000 2.4593 0.3717 2.8310 0.1313 0.00768 0.02067 9 11.324 4.000 2.4593 0.3717 2.8310 0.1313 0.00768 0.02067 11 14.155 5.000 2.4593 0.3717 2.8310 0.1313 0.00768 0.02067 13 16.986 6.000 2.4593 0.3717 2.8310 0.1313 0.00768 0.02067 15 19.817 7.000 2.4593 0.3717 2.8310 0.1313 0.00768 0.02067 17 22.648 8.000 2.4593 0.3717 2.8310 0.1313 0.00768 0.02067 19 25.479 9.000 2.4593 0.3717 2.8310 0.1313 0.00768 0.02067 21 28.310 10.000 2.4593 0.3717 2.8310 0.1313 0.00768 0.02067 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 5.0203E-01 8 20.00 1.2464E-01 7 30.00 2.6745E-02 6 40.00 6.8387E-03 5 50.00 2.2592E-03 4 60.00 9.2773E-04 3 70.00 4.4836E-04 2 80.00 2.4565E-04 1 87.50 1.6699E-04 1 92.50 1.3315E-04 2 100.00 9.9930E-05 3 110.00 7.3683E-05 4 120.00 5.9383E-05 5 130.00 5.1694E-05 6 140.00 4.7717E-05 7 150.00 4.5806E-05 8 160.00 4.4988E-05 9 170.00 4.4692E-05 10 180.00 4.4611E-05 Asymptotic AOP values are MUu(inf) = 0.3987 MUd(inf) = 0.9488 MU(inf) = 0.9457 R(inf) = 0.0011 Lu(inf)/Ed(inf) = 0.000249 (1/sr) k(inf) = 2.6011 (1/m) absorp(check) = 2.4599 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 745.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 8.0700E-02 1.3992E+00 1.4799E+00 3.3690E-02 1.1654E+00 0.4175 0.8329 0.7647 2.8908E-02 1 0.00 0.00 2.7817E-03 1.1881E+00 1.1908E+00 1.1167E-03 1.1328E+00 0.4014 0.9535 0.9504 9.8577E-04 3 2.83 1.00 2.2691E-04 8.9397E-02 8.9624E-02 9.3452E-05 8.5439E-02 0.4118 0.9557 0.9523 1.0938E-03 5 5.66 2.00 3.1654E-05 6.7836E-03 6.8153E-03 1.4734E-05 6.4784E-03 0.4655 0.9550 0.9484 2.2743E-03 7 8.49 3.00 1.4077E-05 5.2642E-04 5.4050E-04 7.2618E-06 4.9699E-04 0.5159 0.9441 0.9061 1.4612E-02 9 11.32 4.00 1.0449E-05 5.0085E-05 6.0534E-05 5.4670E-06 4.3066E-05 0.5232 0.8599 0.6211 1.2694E-01 11 14.15 5.00 8.3114E-06 1.2056E-05 2.0367E-05 4.3409E-06 7.6949E-06 0.5223 0.6383 0.1647 5.6412E-01 13 16.99 6.00 6.6469E-06 7.5371E-06 1.4184E-05 3.4610E-06 4.1330E-06 0.5207 0.5484 0.0474 8.3741E-01 15 19.82 7.00 5.3128E-06 5.8666E-06 1.1179E-05 2.7586E-06 3.1443E-06 0.5192 0.5360 0.0345 8.7733E-01 17 22.65 8.00 4.2431E-06 4.6734E-06 8.9165E-06 2.1976E-06 2.4937E-06 0.5179 0.5336 0.0332 8.8129E-01 19 25.48 9.00 3.3869E-06 3.7290E-06 7.1160E-06 1.7502E-06 1.9850E-06 0.5168 0.5323 0.0330 8.8174E-01 21 28.31 10.00 2.7023E-06 2.9750E-06 5.6773E-06 1.3936E-06 1.5804E-06 0.5157 0.5312 0.0329 8.8184E-01 K-functions (units of 1/meter) at 745.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 2.55180 2.58507 2.58499 2.55300 2.58765 2.58768 2.54494 1.000 1.010 1.005 2.37648 2.58217 2.58165 2.31504 2.58095 2.58125 2.20790 2.000 2.010 2.005 1.37907 2.57396 2.56837 1.21896 2.57720 2.58032 1.01853 3.000 3.010 3.005 0.41595 2.51722 2.46193 0.37582 2.54581 2.57835 0.34076 4.000 4.010 4.005 0.24149 2.04094 1.72802 0.24043 2.24445 2.53921 0.24461 5.000 5.010 5.005 0.22518 0.78729 0.55753 0.22791 1.07075 2.17223 0.23528 6.000 6.010 6.005 0.22468 0.29018 0.25948 0.22747 0.34327 0.94183 0.23440 7.000 7.010 7.005 0.22540 0.23006 0.22784 0.22791 0.23789 0.30935 0.23416 8.000 8.010 8.005 0.22600 0.22498 0.22547 0.22819 0.22799 0.22651 0.23384 9.000 9.010 9.005 0.22634 0.22506 0.22567 0.22833 0.22736 0.22007 0.23345 10.000 10.010 10.005 0.22692 0.22539 0.22612 0.22871 0.22743 0.21790 0.23326 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 745.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 2.68718E-01 1.54485E-04 4.51994E-02 4.53539E-02 1.32559E-04 0.168204 9 1 10.0 0.0 180.0 1.17813E-01 1.57305E-04 1.94267E-02 1.95840E-02 1.34979E-04 0.164894 9 4 10.0 45.0 135.0 1.31697E-01 1.56335E-04 2.24195E-02 2.25759E-02 1.34147E-04 0.170236 9 7 10.0 90.0 90.0 1.83836E-01 1.55173E-04 3.40970E-02 3.42522E-02 1.33150E-04 0.185475 8 1 20.0 0.0 180.0 7.04309E-02 1.58167E-04 6.03580E-03 6.19397E-03 1.35719E-04 0.085698 8 4 20.0 45.0 135.0 7.85930E-02 1.56129E-04 7.87688E-03 8.03300E-03 1.33970E-04 0.100224 8 7 20.0 90.0 90.0 1.10449E-01 1.54609E-04 1.62995E-02 1.64541E-02 1.32666E-04 0.147575 7 1 30.0 0.0 180.0 4.96252E-02 1.59486E-04 1.83095E-03 1.99043E-03 1.36850E-04 0.036895 7 4 30.0 45.0 135.0 5.41934E-02 1.58655E-04 2.38043E-03 2.53908E-03 1.36137E-04 0.043925 7 7 30.0 90.0 90.0 7.12396E-02 1.55892E-04 5.23583E-03 5.39172E-03 1.33766E-04 0.073496 6 1 40.0 0.0 180.0 4.07655E-02 1.59359E-04 1.20013E-03 1.35949E-03 1.36741E-04 0.029440 6 4 40.0 45.0 135.0 4.36469E-02 1.58199E-04 1.32545E-03 1.48365E-03 1.35746E-04 0.030367 6 7 40.0 90.0 90.0 5.35802E-02 1.55212E-04 1.97977E-03 2.13498E-03 1.33183E-04 0.036950 5 1 50.0 0.0 180.0 3.77580E-02 1.60467E-04 1.52701E-03 1.68748E-03 1.37692E-04 0.040442 5 4 50.0 45.0 135.0 3.98791E-02 1.58408E-04 1.61012E-03 1.76853E-03 1.35926E-04 0.040375 5 7 50.0 90.0 90.0 4.66927E-02 1.55461E-04 1.91470E-03 2.07016E-03 1.33397E-04 0.041006 4 1 60.0 0.0 180.0 3.91636E-02 1.57448E-04 3.00594E-03 3.16339E-03 1.35102E-04 0.076753 4 4 60.0 45.0 135.0 4.08571E-02 1.55202E-04 3.09919E-03 3.25439E-03 1.33174E-04 0.075854 4 7 60.0 90.0 90.0 4.62260E-02 1.54068E-04 3.47386E-03 3.62793E-03 1.32202E-04 0.075150 3 1 70.0 0.0 180.0 4.69684E-02 1.46083E-04 7.51614E-03 7.66222E-03 1.25350E-04 0.160025 3 4 70.0 45.0 135.0 4.82098E-02 1.45577E-04 7.69521E-03 7.84079E-03 1.24916E-04 0.159619 3 7 70.0 90.0 90.0 5.25769E-02 1.44494E-04 8.37103E-03 8.51553E-03 1.23987E-04 0.159215 2 1 80.0 0.0 180.0 7.00413E-02 1.25467E-04 1.78551E-02 1.79806E-02 1.07660E-04 0.254922 2 4 80.0 45.0 135.0 7.03792E-02 1.24751E-04 1.85319E-02 1.86567E-02 1.07045E-04 0.263315 2 7 80.0 90.0 90.0 7.31759E-02 1.23879E-04 1.98404E-02 1.99643E-02 1.06297E-04 0.271133 1 1 87.5 0.0 180.0 1.05589E-01 1.01812E-04 3.11118E-02 3.12136E-02 8.73619E-05 0.294649 1 4 87.5 45.0 135.0 1.04325E-01 9.64177E-05 3.32031E-02 3.32995E-02 8.27335E-05 0.318267 1 7 87.5 90.0 90.0 1.04131E-01 1.05996E-04 3.49980E-02 3.51040E-02 9.09527E-05 0.336097 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 745.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 4.535E-02 2.687E-01 6.840E-02 6.962E-02 7.457E-02 3.892E-02 7.428E-01 1.545E-04 1.326E-04 1 0.00 0.00 2.868E-04 4.870E+00 7.994E-04 9.375E-04 1.069E-03 2.532E-04 3.893E+00 3 2.83 1.00 2.521E-05 3.774E-01 5.994E-05 7.095E-05 8.911E-05 2.951E-04 3.707E+00 5 5.66 2.00 4.764E-06 2.907E-02 6.589E-06 7.421E-06 8.794E-06 7.353E-04 3.093E+00 7 8.49 3.00 2.625E-06 2.232E-03 2.184E-06 2.246E-06 2.348E-06 5.283E-03 2.766E+00 9 11.32 4.00 1.993E-06 1.725E-04 1.532E-06 1.537E-06 1.544E-06 4.628E-02 2.743E+00 11 14.15 5.00 1.572E-06 1.484E-05 1.221E-06 1.221E-06 1.222E-06 2.043E-01 2.762E+00 13 16.99 6.00 1.244E-06 2.482E-06 9.831E-07 9.831E-07 9.831E-07 3.009E-01 2.783E+00 15 19.82 7.00 9.844E-07 1.262E-06 7.910E-07 7.910E-07 7.910E-07 3.131E-01 2.802E+00 17 22.65 8.00 7.794E-07 9.457E-07 6.354E-07 6.354E-07 6.354E-07 3.126E-01 2.820E+00 19 25.48 9.00 6.173E-07 7.447E-07 5.098E-07 5.098E-07 5.098E-07 3.110E-01 2.836E+00 21 28.31 10.00 4.890E-07 5.896E-07 4.087E-07 4.087E-07 4.087E-07 3.094E-01 2.850E+00 Waveband 40 of 40 completed in 8.3 sec. Energy Eo as a function of depth and wavelength Units are W/m^2 [values are integrated over the wavelength bands] depth 355.0 365.0 375.0 385.0 395.0 405.0 415.0 425.0 435.0 445.0 455.0 465.0 475.0 485.0 495.0 505.0 515.0 525.0 535.0 545.0 555.0 565.0 575.0 585.0 595.0 605.0 615.0 625.0 635.0 645.0 655.0 665.0 675.0 685.0 695.0 705.0 715.0 725.0 735.0 745.0 in air 1.094E+01 1.249E+01 1.236E+01 1.081E+01 1.324E+01 1.846E+01 1.936E+01 1.837E+01 1.871E+01 2.191E+01 2.330E+01 2.305E+01 2.329E+01 2.245E+01 2.269E+01 2.218E+01 2.122E+01 2.163E+01 2.180E+01 2.143E+01 2.121E+01 2.098E+01 2.088E+01 2.023E+01 1.938E+01 1.973E+01 1.921E+01 1.897E+01 1.869E+01 1.808E+01 1.724E+01 1.789E+01 1.755E+01 1.615E+01 1.556E+01 1.558E+01 1.429E+01 1.297E+01 1.409E+01 1.480E+01 0.0 8.897E+00 1.035E+01 1.039E+01 9.190E+00 1.135E+01 1.582E+01 1.655E+01 1.571E+01 1.597E+01 1.880E+01 2.012E+01 2.001E+01 2.039E+01 1.980E+01 2.010E+01 1.965E+01 1.865E+01 1.916E+01 1.939E+01 1.908E+01 1.883E+01 1.864E+01 1.831E+01 1.731E+01 1.622E+01 1.621E+01 1.578E+01 1.556E+01 1.530E+01 1.478E+01 1.406E+01 1.458E+01 1.439E+01 1.331E+01 1.274E+01 1.264E+01 1.154E+01 1.045E+01 1.134E+01 1.191E+01 1.0 7.686E+00 9.075E+00 9.192E+00 8.188E+00 1.015E+01 1.411E+01 1.469E+01 1.393E+01 1.410E+01 1.667E+01 1.795E+01 1.792E+01 1.843E+01 1.800E+01 1.835E+01 1.795E+01 1.691E+01 1.751E+01 1.778E+01 1.751E+01 1.726E+01 1.710E+01 1.660E+01 1.513E+01 1.337E+01 1.207E+01 1.164E+01 1.125E+01 1.080E+01 1.019E+01 9.162E+00 8.792E+00 8.540E+00 7.723E+00 6.936E+00 5.929E+00 3.952E+00 2.161E+00 1.202E+00 8.962E-01 2.0 6.490E+00 7.790E+00 7.976E+00 7.164E+00 8.929E+00 1.238E+01 1.282E+01 1.214E+01 1.224E+01 1.454E+01 1.577E+01 1.583E+01 1.643E+01 1.616E+01 1.656E+01 1.620E+01 1.515E+01 1.582E+01 1.613E+01 1.591E+01 1.565E+01 1.553E+01 1.488E+01 1.306E+01 1.086E+01 8.842E+00 8.443E+00 7.997E+00 7.505E+00 6.905E+00 5.873E+00 5.222E+00 5.005E+00 4.438E+00 3.739E+00 2.746E+00 1.338E+00 4.445E-01 1.281E-01 6.815E-02 3.0 5.398E+00 6.591E+00 6.826E+00 6.187E+00 7.754E+00 1.072E+01 1.105E+01 1.046E+01 1.050E+01 1.254E+01 1.371E+01 1.383E+01 1.450E+01 1.437E+01 1.480E+01 1.449E+01 1.345E+01 1.417E+01 1.452E+01 1.434E+01 1.408E+01 1.399E+01 1.323E+01 1.117E+01 8.745E+00 6.417E+00 6.070E+00 5.636E+00 5.168E+00 4.641E+00 3.734E+00 3.081E+00 2.925E+00 2.554E+00 2.017E+00 1.270E+00 4.522E-01 9.158E-02 1.392E-02 5.405E-03 4.0 4.443E+00 5.520E+00 5.783E+00 5.291E+00 6.670E+00 9.199E+00 9.441E+00 8.931E+00 8.928E+00 1.073E+01 1.182E+01 1.199E+01 1.270E+01 1.268E+01 1.314E+01 1.287E+01 1.186E+01 1.261E+01 1.298E+01 1.284E+01 1.259E+01 1.253E+01 1.169E+01 9.499E+00 6.994E+00 4.626E+00 4.337E+00 3.948E+00 3.537E+00 3.101E+00 2.361E+00 1.812E+00 1.713E+00 1.481E+00 1.097E+00 5.894E-01 1.533E-01 1.918E-02 1.757E-03 6.053E-04 5.0 3.626E+00 4.586E+00 4.862E+00 4.491E+00 5.695E+00 7.836E+00 8.008E+00 7.572E+00 7.541E+00 9.116E+00 1.012E+01 1.033E+01 1.106E+01 1.113E+01 1.159E+01 1.137E+01 1.040E+01 1.116E+01 1.154E+01 1.144E+01 1.120E+01 1.117E+01 1.028E+01 8.035E+00 5.566E+00 3.319E+00 3.083E+00 2.752E+00 2.409E+00 2.063E+00 1.487E+00 1.064E+00 1.009E+00 8.713E-01 6.061E-01 2.769E-01 5.271E-02 4.322E-03 4.212E-04 2.037E-04 6.0 2.941E+00 3.786E+00 4.062E+00 3.789E+00 4.833E+00 6.636E+00 6.752E+00 6.384E+00 6.334E+00 7.703E+00 8.622E+00 8.850E+00 9.577E+00 9.713E+00 1.018E+01 9.991E+00 9.074E+00 9.826E+00 1.022E+01 1.014E+01 9.917E+00 9.908E+00 9.005E+00 6.768E+00 4.410E+00 2.372E+00 2.184E+00 1.911E+00 1.635E+00 1.367E+00 9.332E-01 6.256E-01 6.019E-01 5.244E-01 3.437E-01 1.334E-01 1.887E-02 1.235E-03 2.399E-04 1.418E-04 7.0 2.372E+00 3.109E+00 3.376E+00 3.180E+00 4.081E+00 5.592E+00 5.666E+00 5.356E+00 5.295E+00 6.479E+00 7.312E+00 7.550E+00 8.259E+00 8.443E+00 8.898E+00 8.746E+00 7.885E+00 8.621E+00 9.008E+00 8.963E+00 8.750E+00 8.760E+00 7.857E+00 5.681E+00 3.482E+00 1.689E+00 1.541E+00 1.323E+00 1.106E+00 9.032E-01 5.844E-01 3.691E-01 3.653E-01 3.255E-01 2.024E-01 6.714E-02 7.400E-03 5.542E-04 1.870E-04 1.118E-04 8.0 1.905E+00 2.542E+00 2.794E+00 2.657E+00 3.432E+00 4.692E+00 4.735E+00 4.475E+00 4.408E+00 5.428E+00 6.176E+00 6.416E+00 7.095E+00 7.312E+00 7.752E+00 7.629E+00 6.829E+00 7.537E+00 7.916E+00 7.893E+00 7.695E+00 7.720E+00 6.833E+00 4.753E+00 2.741E+00 1.199E+00 1.084E+00 9.132E-01 7.463E-01 5.953E-01 3.654E-01 2.193E-01 2.273E-01 2.100E-01 1.252E-01 3.615E-02 3.423E-03 3.698E-04 1.531E-04 8.916E-05 9.0 1.524E+00 2.070E+00 2.303E+00 2.212E+00 2.875E+00 3.923E+00 3.942E+00 3.726E+00 3.657E+00 4.531E+00 5.199E+00 5.434E+00 6.075E+00 6.312E+00 6.732E+00 6.634E+00 5.895E+00 6.570E+00 6.936E+00 6.930E+00 6.748E+00 6.784E+00 5.927E+00 3.965E+00 2.152E+00 8.493E-01 7.614E-01 6.289E-01 5.024E-01 3.915E-01 2.282E-01 1.318E-01 1.460E-01 1.417E-01 8.205E-02 2.130E-02 1.961E-03 2.926E-04 1.260E-04 7.116E-05 10.0 1.216E+00 1.681E+00 1.893E+00 1.836E+00 2.401E+00 3.269E+00 3.272E+00 3.092E+00 3.024E+00 3.771E+00 4.364E+00 4.589E+00 5.186E+00 5.434E+00 5.830E+00 5.753E+00 5.076E+00 5.711E+00 6.062E+00 6.069E+00 5.903E+00 5.947E+00 5.127E+00 3.300E+00 1.685E+00 6.003E-01 5.334E-01 4.322E-01 3.376E-01 2.571E-01 1.426E-01 8.044E-02 9.737E-02 1.001E-01 5.706E-02 1.385E-02 1.354E-03 2.429E-04 1.037E-04 5.677E-05 Quantum Eo as a function of depth and wavelength Units are (micromol photons)/(m^2 s) [values are integrated over the wavelength bands] depth 355.0 365.0 375.0 385.0 395.0 405.0 415.0 425.0 435.0 445.0 455.0 465.0 475.0 485.0 495.0 505.0 515.0 525.0 535.0 545.0 555.0 565.0 575.0 585.0 595.0 605.0 615.0 625.0 635.0 645.0 655.0 665.0 675.0 685.0 695.0 705.0 715.0 725.0 735.0 745.0 in air 3.246E+01 3.809E+01 3.874E+01 3.477E+01 4.370E+01 6.250E+01 6.716E+01 6.525E+01 6.802E+01 8.151E+01 8.859E+01 8.959E+01 9.246E+01 9.101E+01 9.389E+01 9.361E+01 9.132E+01 9.491E+01 9.748E+01 9.763E+01 9.841E+01 9.907E+01 1.004E+02 9.891E+01 9.637E+01 9.975E+01 9.873E+01 9.907E+01 9.917E+01 9.745E+01 9.438E+01 9.942E+01 9.902E+01 9.247E+01 9.036E+01 9.182E+01 8.542E+01 7.861E+01 8.658E+01 9.215E+01 0.0 2.640E+01 3.159E+01 3.257E+01 2.957E+01 3.747E+01 5.356E+01 5.741E+01 5.582E+01 5.808E+01 6.993E+01 7.651E+01 7.775E+01 8.096E+01 8.025E+01 8.317E+01 8.294E+01 8.029E+01 8.409E+01 8.671E+01 8.690E+01 8.736E+01 8.801E+01 8.802E+01 8.462E+01 8.066E+01 8.199E+01 8.110E+01 8.126E+01 8.121E+01 7.969E+01 7.698E+01 8.102E+01 8.120E+01 7.621E+01 7.400E+01 7.451E+01 6.896E+01 6.332E+01 6.966E+01 7.415E+01 1.0 2.280E+01 2.768E+01 2.881E+01 2.635E+01 3.352E+01 4.778E+01 5.096E+01 4.948E+01 5.126E+01 6.199E+01 6.825E+01 6.966E+01 7.316E+01 7.295E+01 7.594E+01 7.574E+01 7.280E+01 7.683E+01 7.951E+01 7.977E+01 8.005E+01 8.073E+01 7.976E+01 7.397E+01 6.650E+01 6.105E+01 5.982E+01 5.874E+01 5.734E+01 5.491E+01 5.016E+01 4.887E+01 4.818E+01 4.422E+01 4.029E+01 3.493E+01 2.362E+01 1.310E+01 7.386E+00 5.581E+00 2.0 1.926E+01 2.376E+01 2.500E+01 2.305E+01 2.948E+01 4.190E+01 4.447E+01 4.313E+01 4.449E+01 5.408E+01 5.997E+01 6.151E+01 6.523E+01 6.550E+01 6.851E+01 6.837E+01 6.523E+01 6.942E+01 7.215E+01 7.248E+01 7.260E+01 7.332E+01 7.150E+01 6.384E+01 5.402E+01 4.471E+01 4.340E+01 4.177E+01 3.983E+01 3.723E+01 3.215E+01 2.902E+01 2.824E+01 2.541E+01 2.172E+01 1.618E+01 7.998E+00 2.694E+00 7.868E-01 4.244E-01 3.0 1.602E+01 2.011E+01 2.139E+01 1.991E+01 2.560E+01 3.629E+01 3.833E+01 3.716E+01 3.817E+01 4.665E+01 5.213E+01 5.375E+01 5.757E+01 5.824E+01 6.124E+01 6.116E+01 5.791E+01 6.218E+01 6.492E+01 6.532E+01 6.532E+01 6.607E+01 6.359E+01 5.462E+01 4.349E+01 3.245E+01 3.120E+01 2.944E+01 2.743E+01 2.502E+01 2.044E+01 1.712E+01 1.650E+01 1.462E+01 1.172E+01 7.481E+00 2.702E+00 5.550E-01 8.553E-02 3.366E-02 4.0 1.318E+01 1.684E+01 1.813E+01 1.703E+01 2.202E+01 3.114E+01 3.275E+01 3.172E+01 3.246E+01 3.991E+01 4.494E+01 4.660E+01 5.043E+01 5.141E+01 5.435E+01 5.432E+01 5.106E+01 5.532E+01 5.803E+01 5.849E+01 5.840E+01 5.917E+01 5.620E+01 4.644E+01 3.478E+01 2.339E+01 2.229E+01 2.062E+01 1.877E+01 1.672E+01 1.292E+01 1.007E+01 9.662E+00 8.478E+00 6.372E+00 3.473E+00 9.159E-01 1.162E-01 1.079E-02 3.769E-03 5.0 1.076E+01 1.399E+01 1.524E+01 1.445E+01 1.880E+01 2.653E+01 2.778E+01 2.690E+01 2.742E+01 3.391E+01 3.849E+01 4.014E+01 4.390E+01 4.510E+01 4.795E+01 4.798E+01 4.476E+01 4.895E+01 5.160E+01 5.210E+01 5.194E+01 5.273E+01 4.942E+01 3.929E+01 2.768E+01 1.678E+01 1.585E+01 1.438E+01 1.279E+01 1.112E+01 8.139E+00 5.914E+00 5.694E+00 4.989E+00 3.521E+00 1.632E+00 3.150E-01 2.619E-02 2.588E-03 1.268E-03 6.0 8.726E+00 1.155E+01 1.273E+01 1.219E+01 1.596E+01 2.246E+01 2.342E+01 2.268E+01 2.303E+01 2.865E+01 3.279E+01 3.440E+01 3.802E+01 3.937E+01 4.210E+01 4.217E+01 3.906E+01 4.312E+01 4.568E+01 4.621E+01 4.600E+01 4.679E+01 4.328E+01 3.309E+01 2.193E+01 1.199E+01 1.122E+01 9.985E+00 8.678E+00 7.369E+00 5.109E+00 3.477E+00 3.396E+00 3.002E+00 1.996E+00 7.861E-01 1.128E-01 7.483E-03 1.474E-03 8.832E-04 7.0 7.039E+00 9.485E+00 1.058E+01 1.023E+01 1.347E+01 1.893E+01 1.965E+01 1.902E+01 1.925E+01 2.410E+01 2.781E+01 2.934E+01 3.279E+01 3.423E+01 3.681E+01 3.692E+01 3.394E+01 3.783E+01 4.028E+01 4.083E+01 4.059E+01 4.137E+01 3.776E+01 2.778E+01 1.732E+01 8.540E+00 7.922E+00 6.911E+00 5.870E+00 4.869E+00 3.199E+00 2.052E+00 2.061E+00 1.863E+00 1.176E+00 3.956E-01 4.422E-02 3.358E-03 1.149E-03 6.961E-04 8.0 5.653E+00 7.754E+00 8.756E+00 8.550E+00 1.133E+01 1.588E+01 1.642E+01 1.590E+01 1.603E+01 2.019E+01 2.349E+01 2.493E+01 2.817E+01 2.964E+01 3.207E+01 3.220E+01 2.939E+01 3.307E+01 3.540E+01 3.595E+01 3.570E+01 3.646E+01 3.284E+01 2.324E+01 1.363E+01 6.063E+00 5.574E+00 4.771E+00 3.961E+00 3.209E+00 2.000E+00 1.219E+00 1.283E+00 1.203E+00 7.273E-01 2.130E-01 2.046E-02 2.241E-03 9.407E-04 5.552E-04 9.0 4.523E+00 6.316E+00 7.219E+00 7.118E+00 9.491E+00 1.328E+01 1.367E+01 1.323E+01 1.330E+01 1.685E+01 1.977E+01 2.112E+01 2.412E+01 2.559E+01 2.785E+01 2.800E+01 2.538E+01 2.883E+01 3.102E+01 3.157E+01 3.130E+01 3.204E+01 2.848E+01 1.939E+01 1.070E+01 4.295E+00 3.914E+00 3.285E+00 2.667E+00 2.110E+00 1.250E+00 7.323E-01 8.238E-01 8.113E-01 4.766E-01 1.255E-01 1.172E-02 1.773E-03 7.743E-04 4.431E-04 10.0 3.607E+00 5.128E+00 5.932E+00 5.907E+00 7.925E+00 1.107E+01 1.135E+01 1.098E+01 1.100E+01 1.403E+01 1.660E+01 1.783E+01 2.059E+01 2.203E+01 2.412E+01 2.428E+01 2.185E+01 2.506E+01 2.710E+01 2.765E+01 2.738E+01 2.808E+01 2.464E+01 1.614E+01 8.380E+00 3.035E+00 2.742E+00 2.258E+00 1.792E+00 1.386E+00 7.806E-01 4.471E-01 5.494E-01 5.730E-01 3.314E-01 8.163E-02 8.093E-03 1.472E-03 6.369E-04 3.535E-04 PAR as a function of depth The wavelengths used for this PAR calculation were 400.0 to 700.0 nm depth PAR(from Eo) PAR(from Ed) (m) (mumol phot/m^2/s) (mumol phot/m^2/s) in air 2.7379E+03 2.0527E+03 0.00 2.3377E+03 2.0240E+03 1.00 1.9107E+03 1.5902E+03 2.00 1.5752E+03 1.2695E+03 3.00 1.3100E+03 1.0273E+03 4.00 1.0972E+03 8.4037E+02 5.00 9.2374E+02 6.9318E+02 6.00 7.8048E+02 5.7536E+02 7.00 6.6099E+02 4.7978E+02 8.00 5.6060E+02 4.0144E+02 9.00 4.7585E+02 3.3672E+02 10.00 4.0404E+02 2.8294E+02 K-function for PAR (units of 1/meter) (valid only when zupper and zlower are closely spaced) zupper zlower z KPAR(from Eo) 0.000 0.010 0.005 0.20703 1.000 1.010 1.005 0.19769 2.000 2.010 2.005 0.18843 3.000 3.010 3.005 0.18043 4.000 4.010 4.005 0.17437 5.000 5.010 5.005 0.17007 6.000 6.010 6.005 0.16716 7.000 7.010 7.005 0.16531 8.000 8.010 8.005 0.16422 9.000 9.010 9.005 0.16368 10.000 10.010 10.005 0.16350 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 (0.327, 0.338, 1.142E+05) (0.297, 0.332, 4.999E+03) (0.322, 0.341, 4.808E+03) (0.246, 0.330, 4.985E+02) (0.249, 0.323, 0.000E+00) 0.00 (0.326, 0.338, 1.129E+05) (0.246, 0.331, 3.723E+03) (0.246, 0.330, 9.249E+02) 1.00 (0.312, 0.343, 9.544E+04) (0.241, 0.335, 3.357E+03) (0.241, 0.334, 8.103E+02) 2.00 (0.300, 0.347, 8.083E+04) (0.237, 0.339, 2.997E+03) (0.237, 0.338, 7.072E+02) 3.00 (0.289, 0.352, 6.858E+04) (0.234, 0.343, 2.657E+03) (0.234, 0.343, 6.155E+02) 4.00 (0.281, 0.356, 5.828E+04) (0.231, 0.348, 2.344E+03) (0.231, 0.348, 5.345E+02) 5.00 (0.273, 0.361, 4.959E+04) (0.229, 0.353, 2.059E+03) (0.229, 0.353, 4.633E+02) 6.00 (0.267, 0.367, 4.223E+04) (0.227, 0.358, 1.803E+03) (0.228, 0.358, 4.008E+02) 7.00 (0.262, 0.372, 3.599E+04) (0.226, 0.364, 1.573E+03) (0.227, 0.363, 3.462E+02) 8.00 (0.258, 0.377, 3.069E+04) (0.225, 0.369, 1.370E+03) (0.226, 0.368, 2.986E+02) 9.00 (0.254, 0.382, 2.617E+04) (0.225, 0.375, 1.190E+03) (0.225, 0.374, 2.572E+02) 10.00 (0.252, 0.387, 2.232E+04) (0.225, 0.380, 1.031E+03) (0.225, 0.379, 2.213E+02) The Forel-Ule number of the nadir-viewing Rrs is FU = 5 The Forel-Ule number of the nadir-viewing, in-air Lu is FU = 6 The Forel-Ule number of the nadir-viewing Lw is FU = 5 WARNING: the current estimate for z_SD is greater than the maximum output depth for the run: z_SD cannot be further revised max output depth = 10.00 For a better estimate, rerun HydroLight to a deeper depth Run completed on 07/17/2013 at 16:48:34.1 Total (wall clock) run time = 158.4 sec