======================================================== | | | 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: R1 (07/17/2013 17:34) Run started on 07/17/2013 at 17:34:25.7 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 1 360.00 2 80.000 0.1730 2 15.00 2 0.010 2 380.00 3 70.000 0.3407 3 30.00 3 10.000 3 400.00 4 60.000 0.4981 4 45.00 4 10.010 4 420.00 5 50.000 0.6403 5 60.00 5 20.000 5 440.00 6 40.000 0.7631 6 75.00 6 20.010 6 460.00 7 30.000 0.8627 7 90.00 7 480.00 8 20.000 0.9361 8 105.00 8 500.00 9 10.000 0.9811 9 120.00 9 520.00 10 0.000 0.9981 10 135.00 10 540.00 11 150.00 11 560.00 12 165.00 12 580.00 13 180.00 13 600.00 14 195.00 14 620.00 15 210.00 15 640.00 16 225.00 16 660.00 17 240.00 17 680.00 18 255.00 18 700.00 19 270.00 19 720.00 20 285.00 20 740.00 21 300.00 22 315.00 23 330.00 24 345.00 ***** BEGIN IOP MODEL SPECIFICATIONS ***** The IOP routine "abNewCase1" is being used: Absorption and scattering coefficients for case 1 water (Morel et al. bio-optical models) are used. component 1 is pure water component 2 is small particles component 3 is large particles component 4 is CDOM Pure water a and b values are obtained from the file: ..\data\H2OabDefaults.txt (Linear interpolation is used to define values at all wavelengths) The data file header records from ..\data\H2OabDefaults.txt are: Default "pure water" absorption (a) and scattering (b) coefficients. Based on: 200-300 nm: R.C. Smith and K. Baker, 1981. Appl. Optics 20(2), 177-184. 191 records read The phase function for component 1 comes from a file titled pure sea water (Rayleigh-like phase function); standard quad partition; 7 Sept 98 The chlorophyll concentration is constant with depth with a value of 2.30 (mg/m^3) The phase function for component 2 comes from a file titled Morel Small Particle Case 1 phase function; (Jul 2004) The chlorophyll values at the requested output depths are: depth Chl (m) (mg/m^3) 0.000 2.300 10.000 2.300 20.000 2.300 chlorophyll AE filename: ..\data\AE_midUVabs.txt ***** END IOP MODEL SPECIFICATIONS ***** ***** BEGIN INELASTIC SCATTER AND INTERNAL SOURCE SPECIFICATIONS ***** Chlorophyll fluorescence is included in this run Chl fluorescent quantum efficiency set to 0.020 CDOM fluorescence is included in this run Raman scattering is included in this run Raman scattering cross-section set to 2.40E-04 m-1 at reference wavelength 488.0 nm ***** END INELASTIC SCATTER AND INTERNAL SOURCE SPECIFICATIONS ***** ***** BEGIN ATMOSPHERIC MODEL SPECIFICATIONS ***** Normalized sky radiances are computed using sky model "HCNRAD" (Harrison and Coombes Normalized RADiances) The cloud fraction is cloud = 0.0 (0 for a clear sky to 1 for a heavy overcast) The sun is placed in quad Q(r,s) = Q( 8, 1) centered at (theta, phi) = (20.000, 0.000) Diffuse and Direct Sky irradiances are computed using the "RADTRANX" (RADTRAN eXtended for 300-1000 nm) model The RADTRAN clear-sky irradiances are adjusted for cloudiness by the model of Kasten and Czeplak The ozone concentration is computed from climatology using Day of Year = 198 latitude = 60.0000 degrees (N is positive) longitude = -68.0000 degrees (E is positive) Binned Monthly Average TOMS v8 Ozone concentrations (in Dobson units) for use in HE5; Sept 2007 Data from 2000-2004 were averaged to give 5-year climatological averages for 5 x 10 deg latitude x longitude regions. For missing data near the poles, the zonal average of the nearest valid latitude band is used. Parameter values used in the RADTRANX model: Solar zenith angle = 20.0 degrees Pressure = 29.9 in. mercury Day of year = 198 Air mass type = 1.0 Relative Humidity = 80.0 % Precipitable water = 2.5 cm 24-hr wind speed = 5.0 m/sec Current wind speed = 5.0 m/sec Visibility = 15.0 km Total ozone = 338.6 Dobson units Irradiances are computed just above the sea surface Aerosol optical thickness at 550 nm = 0.261 ***** END ATMOSPHERIC MODEL SPECIFICATIONS ***** ***** BEGIN AIR-WATER SURFACE SPECIFICATIONS ***** The air-water surface is for a wind speed of 5.0 m/s Index of refraction is constant for all wavelengths with the value: 1.340 ***** END AIR-WATER SURFACE SPECIFICATIONS ***** ***** BEGIN BOTTOM BOUNDARY SPECIFICATIONS ***** The bottom boundary is an infinitely deep, homogeneous water body below depth 20.00 m The actual depth at which the infinitely deep bottom boundary condition will be applied will be determined dynamically from the IOPs to insure a good solution at the requested output depths ***** END BOTTOM BOUNDARY SPECIFICATIONS ***** Initialization of Hydrolight Completed in 0.2 sec. * * * * * Output for wavelength band 1 (350.0 to 370.0 nm; nominal wavelength = 360.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 43.1 m at 360.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 350.0 nm to 370.0 nm: Ed(diffuse) = 3.155E-01 Ed(direct) = 4.035E-01 Ed(total) = 7.191E-01 Absorption Coefficients of Individual Components at 360.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0156 0.0699 0.0000 0.0541 0.1395 3 9.389 10.000 0.0156 0.0699 0.0000 0.0541 0.1395 5 18.777 20.000 0.0156 0.0699 0.0000 0.0541 0.1395 Scattering Coefficients of Individual Components at 360.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0119 0.2757 0.5116 0.0000 0.7993 3 9.389 10.000 0.0119 0.2757 0.5116 0.0000 0.7993 5 18.777 20.000 0.0119 0.2757 0.5116 0.0000 0.7993 Backscattering Coefficients of Individual Components at 360.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00597 0.00387 0.00090 0.00000 0.01074 3 9.389 10.000 0.00597 0.00387 0.00090 0.00000 0.01074 5 18.777 20.000 0.00597 0.00387 0.00090 0.00000 0.01074 Summary of Inherent Optical Properties at 360.0 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 0.1395 0.7993 0.9389 0.8514 0.01074 0.01343 3 9.389 10.000 0.1395 0.7993 0.9389 0.8514 0.01074 0.01343 5 18.777 20.000 0.1395 0.7993 0.9389 0.8514 0.01074 0.01343 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 8.0948E-01 7 30.00 6.3219E-01 6 40.00 4.5479E-01 5 50.00 3.0601E-01 4 60.00 1.9639E-01 3 70.00 1.2304E-01 2 80.00 7.7538E-02 1 87.50 5.5089E-02 1 92.50 4.3150E-02 2 100.00 3.1984E-02 3 110.00 2.2999E-02 4 120.00 1.7589E-02 5 130.00 1.4359E-02 6 140.00 1.2422E-02 7 150.00 1.1263E-02 8 160.00 1.0589E-02 9 170.00 1.0236E-02 10 180.00 1.0113E-02 Asymptotic AOP values are MUu(inf) = 0.3719 MUd(inf) = 0.7234 MU(inf) = 0.6509 R(inf) = 0.0365 Lu(inf)/Ed(inf) = 0.007530 (1/sr) k(inf) = 0.2144 (1/m) absorp(check) = 0.1395 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 360.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.0394E-01 1.0331E+00 1.1370E+00 3.5483E-02 7.1907E-01 0.3414 0.6961 0.6012 4.9346E-02 1 0.00 0.00 4.6199E-02 7.9810E-01 8.4430E-01 2.0105E-02 7.0365E-01 0.4352 0.8817 0.8096 2.8573E-02 3 9.39 10.00 9.3280E-03 1.3636E-01 1.4568E-01 3.5645E-03 1.0268E-01 0.3821 0.7530 0.6803 3.4715E-02 5 18.78 20.00 1.2187E-03 1.7329E-02 1.8548E-02 4.5600E-04 1.2649E-02 0.3742 0.7299 0.6574 3.6050E-02 K-functions (units of 1/meter) at 360.0 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 0.11239 0.14224 0.14061 0.12707 0.17109 0.17239 0.16552 10.000 10.010 10.005 0.19334 0.19881 0.19846 0.19751 0.20485 0.20512 0.20384 20.000 20.010 20.005 0.20972 0.21088 0.21080 0.21060 0.21221 0.21227 0.21199 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 360.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.57067E-01 2.76710E-03 1.16331E-02 1.44002E-02 3.84818E-03 0.074065 9 1 10.0 0.0 180.0 8.08300E-02 2.82778E-03 3.80179E-03 6.62956E-03 3.93257E-03 0.047034 9 4 10.0 45.0 135.0 9.07717E-02 2.81017E-03 4.78743E-03 7.59760E-03 3.90809E-03 0.052741 9 7 10.0 90.0 90.0 1.30944E-01 2.79017E-03 9.08014E-03 1.18703E-02 3.88027E-03 0.069344 8 1 20.0 0.0 180.0 5.62978E-02 2.86242E-03 1.67051E-03 4.53293E-03 3.98075E-03 0.029673 8 4 20.0 45.0 135.0 6.36582E-02 2.82514E-03 2.09172E-03 4.91686E-03 3.92891E-03 0.032859 8 7 20.0 90.0 90.0 9.75128E-02 2.79942E-03 4.85463E-03 7.65405E-03 3.89313E-03 0.049785 7 1 30.0 0.0 180.0 4.48717E-02 2.91026E-03 1.12619E-03 4.03645E-03 4.04727E-03 0.025098 7 4 30.0 45.0 135.0 4.99654E-02 2.89457E-03 1.30359E-03 4.19816E-03 4.02545E-03 0.026090 7 7 30.0 90.0 90.0 7.30394E-02 2.84692E-03 2.39392E-03 5.24084E-03 3.95919E-03 0.032776 6 1 40.0 0.0 180.0 3.99678E-02 2.94573E-03 1.12485E-03 4.07057E-03 4.09660E-03 0.028144 6 4 40.0 45.0 135.0 4.38065E-02 2.92348E-03 1.23618E-03 4.15967E-03 4.06567E-03 0.028219 6 7 40.0 90.0 90.0 5.98010E-02 2.87184E-03 1.79369E-03 4.66554E-03 3.99385E-03 0.029994 5 1 50.0 0.0 180.0 3.92973E-02 2.99637E-03 1.61731E-03 4.61368E-03 4.16703E-03 0.041156 5 4 50.0 45.0 135.0 4.23467E-02 2.95608E-03 1.72409E-03 4.68017E-03 4.11100E-03 0.040714 5 7 50.0 90.0 90.0 5.45578E-02 2.90424E-03 2.20792E-03 5.11216E-03 4.03890E-03 0.040469 4 1 60.0 0.0 180.0 4.33795E-02 2.96610E-03 3.47802E-03 6.44412E-03 4.12493E-03 0.080177 4 4 60.0 45.0 135.0 4.55896E-02 2.92051E-03 3.56119E-03 6.48170E-03 4.06153E-03 0.078114 4 7 60.0 90.0 90.0 5.55144E-02 2.90109E-03 4.19072E-03 7.09181E-03 4.03452E-03 0.075489 3 1 70.0 0.0 180.0 5.60207E-02 2.76602E-03 9.17837E-03 1.19444E-02 3.84668E-03 0.163839 3 4 70.0 45.0 135.0 5.68051E-02 2.75119E-03 9.22394E-03 1.19751E-02 3.82606E-03 0.162379 3 7 70.0 90.0 90.0 6.43811E-02 2.72968E-03 1.02655E-02 1.29952E-02 3.79614E-03 0.159449 2 1 80.0 0.0 180.0 9.01506E-02 2.37976E-03 2.23664E-02 2.47461E-02 3.30952E-03 0.248100 2 4 80.0 45.0 135.0 8.77723E-02 2.35966E-03 2.26571E-02 2.50168E-02 3.28156E-03 0.258135 2 7 80.0 90.0 90.0 9.08094E-02 2.33920E-03 2.44825E-02 2.68217E-02 3.25311E-03 0.269603 1 1 87.5 0.0 180.0 1.42453E-01 1.92447E-03 3.92378E-02 4.11623E-02 2.67634E-03 0.275443 1 4 87.5 45.0 135.0 1.34968E-01 1.81546E-03 4.08437E-02 4.26592E-02 2.52475E-03 0.302618 1 7 87.5 90.0 90.0 1.29835E-01 1.98860E-03 4.32557E-02 4.52443E-02 2.76554E-03 0.333159 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 360.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.440E-02 1.571E-01 9.181E-02 8.754E-02 1.082E-01 2.003E-02 2.464E+00 2.767E-03 3.848E-03 1 0.00 0.00 5.134E-03 2.915E-01 9.952E-03 1.081E-02 1.293E-02 7.297E-03 3.916E+00 3 9.39 10.00 7.679E-04 9.904E-02 2.542E-03 3.135E-03 4.268E-03 7.479E-03 4.642E+00 5 18.78 20.00 9.510E-05 1.006E-02 3.886E-04 4.435E-04 5.196E-04 7.518E-03 4.795E+00 Waveband 1 of 20 completed in 5.6 sec. * * * * * Output for wavelength band 2 (370.0 to 390.0 nm; nominal wavelength = 380.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 43.1 m at 380.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 370.0 nm to 390.0 nm: Ed(diffuse) = 2.907E-01 Ed(direct) = 4.411E-01 Ed(total) = 7.318E-01 Absorption Coefficients of Individual Components at 380.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0114 0.0736 0.0000 0.0409 0.1259 3 9.227 10.000 0.0114 0.0736 0.0000 0.0409 0.1259 5 18.454 20.000 0.0114 0.0736 0.0000 0.0409 0.1259 Scattering Coefficients of Individual Components at 380.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0095 0.2757 0.5116 0.0000 0.7968 3 9.227 10.000 0.0095 0.2757 0.5116 0.0000 0.7968 5 18.454 20.000 0.0095 0.2757 0.5116 0.0000 0.7968 Backscattering Coefficients of Individual Components at 380.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00473 0.00387 0.00090 0.00000 0.00949 3 9.227 10.000 0.00473 0.00387 0.00090 0.00000 0.00949 5 18.454 20.000 0.00473 0.00387 0.00090 0.00000 0.00949 Summary of Inherent Optical Properties at 380.0 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 0.1259 0.7968 0.9227 0.8636 0.00949 0.01191 3 9.227 10.000 0.1259 0.7968 0.9227 0.8636 0.00949 0.01191 5 18.454 20.000 0.1259 0.7968 0.9227 0.8636 0.00949 0.01191 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4739E-01 8 20.00 8.1864E-01 7 30.00 6.4752E-01 6 40.00 4.7336E-01 5 50.00 3.2424E-01 4 60.00 2.1180E-01 3 70.00 1.3475E-01 2 80.00 8.5836E-02 1 87.50 6.1213E-02 1 92.50 4.7912E-02 2 100.00 3.5372E-02 3 110.00 2.5189E-02 4 120.00 1.8995E-02 5 130.00 1.5269E-02 6 140.00 1.3022E-02 7 150.00 1.1670E-02 8 160.00 1.0880E-02 9 170.00 1.0467E-02 10 180.00 1.0323E-02 Asymptotic AOP values are MUu(inf) = 0.3655 MUd(inf) = 0.7163 MU(inf) = 0.6419 R(inf) = 0.0377 Lu(inf)/Ed(inf) = 0.007443 (1/sr) k(inf) = 0.1961 (1/m) absorp(check) = 0.1259 = 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 380.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 9.9042E-02 1.0258E+00 1.1249E+00 3.4972E-02 7.3183E-01 0.3531 0.7134 0.6195 4.7788E-02 1 0.00 0.00 4.7325E-02 8.1013E-01 8.5745E-01 2.0501E-02 7.1732E-01 0.4332 0.8854 0.8127 2.8581E-02 3 9.23 10.00 1.1902E-02 1.6826E-01 1.8016E-01 4.4877E-03 1.2613E-01 0.3770 0.7496 0.6752 3.5580E-02 5 18.45 20.00 1.8912E-03 2.5849E-02 2.7740E-02 6.9621E-04 1.8710E-02 0.3681 0.7238 0.6494 3.7210E-02 K-functions (units of 1/meter) at 380.0 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 0.09262 0.12527 0.12347 0.10693 0.15354 0.15491 0.14678 10.000 10.010 10.005 0.17281 0.17940 0.17897 0.17748 0.18611 0.18643 0.18477 20.000 20.010 20.005 0.19081 0.19224 0.19214 0.19183 0.19377 0.19384 0.19347 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 380.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.44705E-01 2.76420E-03 1.21388E-02 1.49030E-02 3.77711E-03 0.083887 9 1 10.0 0.0 180.0 7.44682E-02 2.82000E-03 3.79991E-03 6.61991E-03 3.85336E-03 0.051027 9 4 10.0 45.0 135.0 8.36274E-02 2.80439E-03 4.83943E-03 7.64381E-03 3.83203E-03 0.057869 9 7 10.0 90.0 90.0 1.20638E-01 2.78943E-03 9.40369E-03 1.21931E-02 3.81159E-03 0.077950 8 1 20.0 0.0 180.0 5.18668E-02 2.85469E-03 1.58466E-03 4.43935E-03 3.90076E-03 0.030552 8 4 20.0 45.0 135.0 5.86503E-02 2.82074E-03 2.00937E-03 4.83011E-03 3.85437E-03 0.034260 8 7 20.0 90.0 90.0 8.98229E-02 2.80341E-03 4.88959E-03 7.69300E-03 3.83070E-03 0.054436 7 1 30.0 0.0 180.0 4.13400E-02 2.90417E-03 1.03963E-03 3.94380E-03 3.96838E-03 0.025148 7 4 30.0 45.0 135.0 4.60329E-02 2.89308E-03 1.20842E-03 4.10150E-03 3.95322E-03 0.026251 7 7 30.0 90.0 90.0 6.72908E-02 2.85733E-03 2.28823E-03 5.14556E-03 3.90437E-03 0.034005 6 1 40.0 0.0 180.0 3.68221E-02 2.94450E-03 1.03632E-03 3.98082E-03 4.02349E-03 0.028144 6 4 40.0 45.0 135.0 4.03587E-02 2.92852E-03 1.13902E-03 4.06754E-03 4.00165E-03 0.028222 6 7 40.0 90.0 90.0 5.50943E-02 2.89326E-03 1.66045E-03 4.55371E-03 3.95347E-03 0.030138 5 1 50.0 0.0 180.0 3.62043E-02 3.00087E-03 1.49002E-03 4.49088E-03 4.10051E-03 0.041156 5 4 50.0 45.0 135.0 3.90138E-02 2.96815E-03 1.58839E-03 4.55654E-03 4.05580E-03 0.040714 5 7 50.0 90.0 90.0 5.02637E-02 2.93652E-03 2.03441E-03 4.97093E-03 4.01259E-03 0.040475 4 1 60.0 0.0 180.0 3.99652E-02 2.97648E-03 3.20428E-03 6.18076E-03 4.06718E-03 0.080177 4 4 60.0 45.0 135.0 4.20014E-02 2.93951E-03 3.28090E-03 6.22041E-03 4.01667E-03 0.078114 4 7 60.0 90.0 90.0 5.11451E-02 2.94389E-03 3.86088E-03 6.80477E-03 4.02265E-03 0.075489 3 1 70.0 0.0 180.0 5.16115E-02 2.78167E-03 8.45598E-03 1.12376E-02 3.80099E-03 0.163839 3 4 70.0 45.0 135.0 5.23342E-02 2.77610E-03 8.49796E-03 1.12741E-02 3.79337E-03 0.162379 3 7 70.0 90.0 90.0 5.93139E-02 2.78014E-03 9.45755E-03 1.22377E-02 3.79889E-03 0.159449 2 1 80.0 0.0 180.0 8.30552E-02 2.39764E-03 2.06060E-02 2.30037E-02 3.27623E-03 0.248100 2 4 80.0 45.0 135.0 8.08640E-02 2.38624E-03 2.08739E-02 2.32601E-02 3.26066E-03 0.258135 2 7 80.0 90.0 90.0 8.36621E-02 2.38970E-03 2.25556E-02 2.49453E-02 3.26539E-03 0.269603 1 1 87.5 0.0 180.0 1.31241E-01 1.94189E-03 3.61496E-02 3.80915E-02 2.65348E-03 0.275443 1 4 87.5 45.0 135.0 1.24345E-01 1.83913E-03 3.76291E-02 3.94682E-02 2.51306E-03 0.302618 1 7 87.5 90.0 90.0 1.19616E-01 2.03658E-03 3.98512E-02 4.18878E-02 2.78286E-03 0.333159 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 380.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.490E-02 1.447E-01 8.467E-02 8.075E-02 9.982E-02 2.036E-02 2.347E+00 2.764E-03 3.777E-03 1 0.00 0.00 5.128E-03 2.687E-01 1.004E-02 1.107E-02 1.350E-02 7.149E-03 3.998E+00 3 9.23 10.00 9.308E-04 1.210E-01 3.209E-03 4.043E-03 5.641E-03 7.380E-03 4.821E+00 5 18.45 20.00 1.390E-04 1.453E-02 6.052E-04 7.010E-04 8.344E-04 7.432E-03 5.007E+00 Waveband 2 of 20 completed in 5.3 sec. * * * * * Output for wavelength band 3 (390.0 to 410.0 nm; nominal wavelength = 400.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 43.1 m at 400.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 390.0 nm to 410.0 nm: Ed(diffuse) = 3.706E-01 Ed(direct) = 6.515E-01 Ed(total) = 1.022E+00 Absorption Coefficients of Individual Components at 400.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0066 0.0777 0.0000 0.0309 0.1153 3 9.102 10.000 0.0066 0.0777 0.0000 0.0309 0.1153 5 18.204 20.000 0.0066 0.0777 0.0000 0.0309 0.1153 Scattering Coefficients of Individual Components at 400.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0076 0.2757 0.5116 0.0000 0.7949 3 9.102 10.000 0.0076 0.2757 0.5116 0.0000 0.7949 5 18.204 20.000 0.0076 0.2757 0.5116 0.0000 0.7949 Backscattering Coefficients of Individual Components at 400.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00379 0.00387 0.00090 0.00000 0.00855 3 9.102 10.000 0.00379 0.00387 0.00090 0.00000 0.00855 5 18.204 20.000 0.00379 0.00387 0.00090 0.00000 0.00855 Summary of Inherent Optical Properties at 400.0 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 0.1153 0.7949 0.9102 0.8734 0.00855 0.01076 3 9.102 10.000 0.1153 0.7949 0.9102 0.8734 0.00855 0.01076 5 18.204 20.000 0.1153 0.7949 0.9102 0.8734 0.00855 0.01076 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4974E-01 8 20.00 8.2614E-01 7 30.00 6.6023E-01 6 40.00 4.8905E-01 5 50.00 3.3998E-01 4 60.00 2.2543E-01 3 70.00 1.4535E-01 2 80.00 9.3524E-02 1 87.50 6.6976E-02 1 92.50 5.2444E-02 2 100.00 3.8639E-02 3 110.00 2.7330E-02 4 120.00 2.0386E-02 5 130.00 1.6179E-02 6 140.00 1.3625E-02 7 150.00 1.2083E-02 8 160.00 1.1179E-02 9 170.00 1.0704E-02 10 180.00 1.0540E-02 Asymptotic AOP values are MUu(inf) = 0.3605 MUd(inf) = 0.7102 MU(inf) = 0.6338 R(inf) = 0.0390 Lu(inf)/Ed(inf) = 0.007398 (1/sr) k(inf) = 0.1819 (1/m) absorp(check) = 0.1153 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 400.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.3096E-01 1.4030E+00 1.5339E+00 4.7768E-02 1.0221E+00 0.3648 0.7285 0.6352 4.6736E-02 1 0.00 0.00 6.7653E-02 1.1299E+00 1.1976E+00 2.9230E-02 1.0035E+00 0.4321 0.8881 0.8135 2.9128E-02 3 9.10 10.00 2.0130E-02 2.7346E-01 2.9359E-01 7.5222E-03 2.0414E-01 0.3737 0.7465 0.6697 3.6848E-02 5 18.20 20.00 3.7239E-03 4.8765E-02 5.2489E-02 1.3549E-03 3.5033E-02 0.3639 0.7184 0.6416 3.8676E-02 K-functions (units of 1/meter) at 400.0 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 0.07935 0.11233 0.11047 0.09239 0.13988 0.14130 0.13281 10.000 10.010 10.005 0.15686 0.16412 0.16362 0.16202 0.17141 0.17177 0.17021 20.000 20.010 20.005 0.17611 0.17761 0.17750 0.17728 0.17931 0.17939 0.17923 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 400.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.84475E-01 3.87633E-03 1.73014E-02 2.11778E-02 3.79258E-03 0.093787 9 1 10.0 0.0 180.0 9.49351E-02 3.94656E-03 5.22635E-03 9.17291E-03 3.86128E-03 0.055052 9 4 10.0 45.0 135.0 1.06612E-01 3.92776E-03 6.72048E-03 1.06482E-02 3.84289E-03 0.063037 9 7 10.0 90.0 90.0 1.53794E-01 3.91449E-03 1.33223E-02 1.72368E-02 3.82991E-03 0.086624 8 1 20.0 0.0 180.0 6.61219E-02 3.99415E-03 2.07882E-03 6.07297E-03 3.90785E-03 0.031439 8 4 20.0 45.0 135.0 7.47730E-02 3.95168E-03 2.66736E-03 6.61904E-03 3.86630E-03 0.035673 8 7 20.0 90.0 90.0 1.14491E-01 3.94016E-03 6.76933E-03 1.07095E-02 3.85502E-03 0.059126 7 1 30.0 0.0 180.0 5.27019E-02 4.06464E-03 1.32804E-03 5.39268E-03 3.97681E-03 0.025199 7 4 30.0 45.0 135.0 5.86845E-02 4.05616E-03 1.55009E-03 5.60625E-03 3.96852E-03 0.026414 7 7 30.0 90.0 90.0 8.57850E-02 4.02395E-03 3.02343E-03 7.04738E-03 3.93700E-03 0.035244 6 1 40.0 0.0 180.0 4.69422E-02 4.12620E-03 1.32114E-03 5.44734E-03 4.03704E-03 0.028144 6 4 40.0 45.0 135.0 5.14509E-02 4.11329E-03 1.45223E-03 5.56552E-03 4.02441E-03 0.028226 6 7 40.0 90.0 90.0 7.02364E-02 4.08814E-03 2.12700E-03 6.21514E-03 3.99981E-03 0.030283 5 1 50.0 0.0 180.0 4.61547E-02 4.21150E-03 1.89953E-03 6.11103E-03 4.12050E-03 0.041156 5 4 50.0 45.0 135.0 4.97364E-02 4.17699E-03 2.02495E-03 6.20194E-03 4.08674E-03 0.040714 5 7 50.0 90.0 90.0 6.40782E-02 4.16209E-03 2.59389E-03 6.75598E-03 4.07216E-03 0.040480 4 1 60.0 0.0 180.0 5.09493E-02 4.18383E-03 4.08494E-03 8.26878E-03 4.09343E-03 0.080177 4 4 60.0 45.0 135.0 5.35451E-02 4.14479E-03 4.18263E-03 8.32741E-03 4.05523E-03 0.078114 4 7 60.0 90.0 90.0 6.52018E-02 4.18503E-03 4.92201E-03 9.10704E-03 4.09460E-03 0.075489 3 1 70.0 0.0 180.0 6.57965E-02 3.91653E-03 1.07800E-02 1.46965E-02 3.83190E-03 0.163839 3 4 70.0 45.0 135.0 6.67178E-02 3.92218E-03 1.08335E-02 1.47557E-02 3.83743E-03 0.162379 3 7 70.0 90.0 90.0 7.56158E-02 3.96375E-03 1.20569E-02 1.60206E-02 3.87811E-03 0.159449 2 1 80.0 0.0 180.0 1.05882E-01 3.38055E-03 2.62694E-02 2.96499E-02 3.30750E-03 0.248100 2 4 80.0 45.0 135.0 1.03089E-01 3.37704E-03 2.66108E-02 2.99879E-02 3.30407E-03 0.258135 2 7 80.0 90.0 90.0 1.06656E-01 3.41503E-03 2.87548E-02 3.21698E-02 3.34124E-03 0.269603 1 1 87.5 0.0 180.0 1.67312E-01 2.74096E-03 4.60849E-02 4.88259E-02 2.68174E-03 0.275443 1 4 87.5 45.0 135.0 1.58520E-01 2.60605E-03 4.79711E-02 5.05771E-02 2.54974E-03 0.302618 1 7 87.5 90.0 90.0 1.52491E-01 2.91549E-03 5.08039E-02 5.37194E-02 2.85250E-03 0.333159 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 400.0 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 2.118E-02 1.845E-01 1.081E-01 1.031E-01 1.274E-01 2.072E-02 2.256E+00 3.876E-03 3.793E-03 1 0.00 0.00 7.191E-03 3.426E-01 1.413E-02 1.579E-02 1.956E-02 7.166E-03 4.065E+00 3 9.10 10.00 1.513E-03 1.948E-01 5.357E-03 6.862E-03 9.748E-03 7.412E-03 4.971E+00 5 18.20 20.00 2.610E-04 2.667E-02 1.190E-03 1.395E-03 1.681E-03 7.451E-03 5.191E+00 Waveband 3 of 20 completed in 5.2 sec. * * * * * Output for wavelength band 4 (410.0 to 430.0 nm; nominal wavelength = 420.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 43.1 m at 420.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 410.0 nm to 430.0 nm: Ed(diffuse) = 4.273E-01 Ed(direct) = 8.332E-01 Ed(total) = 1.260E+00 Absorption Coefficients of Individual Components at 420.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0045 0.0866 0.0000 0.0234 0.1145 3 9.080 10.000 0.0045 0.0866 0.0000 0.0234 0.1145 5 18.159 20.000 0.0045 0.0866 0.0000 0.0234 0.1145 Scattering Coefficients of Individual Components at 420.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0061 0.2757 0.5116 0.0000 0.7935 3 9.080 10.000 0.0061 0.2757 0.5116 0.0000 0.7935 5 18.159 20.000 0.0061 0.2757 0.5116 0.0000 0.7935 Backscattering Coefficients of Individual Components at 420.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00307 0.00387 0.00090 0.00000 0.00783 3 9.080 10.000 0.00307 0.00387 0.00090 0.00000 0.00783 5 18.159 20.000 0.00307 0.00387 0.00090 0.00000 0.00783 Summary of Inherent Optical Properties at 420.0 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 0.1145 0.7935 0.9080 0.8739 0.00783 0.00987 3 9.080 10.000 0.1145 0.7935 0.9080 0.8739 0.00783 0.00987 5 18.159 20.000 0.1145 0.7935 0.9080 0.8739 0.00783 0.00987 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4989E-01 8 20.00 8.2658E-01 7 30.00 6.6092E-01 6 40.00 4.8977E-01 5 50.00 3.4050E-01 4 60.00 2.2562E-01 3 70.00 1.4520E-01 2 80.00 9.3110E-02 1 87.50 6.6411E-02 1 92.50 5.1790E-02 2 100.00 3.7911E-02 3 110.00 2.6556E-02 4 120.00 1.9596E-02 5 130.00 1.5385E-02 6 140.00 1.2835E-02 7 150.00 1.1298E-02 8 160.00 1.0397E-02 9 170.00 9.9247E-03 10 180.00 9.7613E-03 Asymptotic AOP values are MUu(inf) = 0.3557 MUd(inf) = 0.7105 MU(inf) = 0.6366 R(inf) = 0.0373 Lu(inf)/Ed(inf) = 0.006846 (1/sr) k(inf) = 0.1798 (1/m) absorp(check) = 0.1145 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 420.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.5298E-01 1.7053E+00 1.8583E+00 5.6781E-02 1.2605E+00 0.3712 0.7392 0.6478 4.5047E-02 1 0.00 0.00 7.8738E-02 1.3874E+00 1.4661E+00 3.3830E-02 1.2375E+00 0.4297 0.8919 0.8210 2.7338E-02 3 9.08 10.00 2.4510E-02 3.4477E-01 3.6928E-01 9.0567E-03 2.5788E-01 0.3695 0.7480 0.6738 3.5120E-02 5 18.16 20.00 4.6591E-03 6.2940E-02 6.7599E-02 1.6741E-03 4.5251E-02 0.3593 0.7190 0.6446 3.6997E-02 K-functions (units of 1/meter) at 420.0 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 0.07248 0.10942 0.10744 0.08726 0.13756 0.13897 0.12968 10.000 10.010 10.005 0.15360 0.16158 0.16105 0.15901 0.16909 0.16946 0.16773 20.000 20.010 20.005 0.17374 0.17539 0.17528 0.17497 0.17714 0.17723 0.17705 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 420.0 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 2.12723E-01 4.41745E-03 2.16290E-02 2.60464E-02 3.50457E-03 0.101677 9 1 10.0 0.0 180.0 1.09472E-01 4.49163E-03 6.37773E-03 1.08694E-02 3.56342E-03 0.058259 9 4 10.0 45.0 135.0 1.22937E-01 4.47245E-03 8.25585E-03 1.27283E-02 3.54820E-03 0.067155 9 7 10.0 90.0 90.0 1.77344E-01 4.46310E-03 1.65881E-02 2.10512E-02 3.54078E-03 0.093536 8 1 20.0 0.0 180.0 7.62469E-02 4.54527E-03 2.45101E-03 6.99628E-03 3.60597E-03 0.032146 8 4 20.0 45.0 135.0 8.62255E-02 4.50060E-03 3.17296E-03 7.67356E-03 3.57054E-03 0.036798 8 7 20.0 90.0 90.0 1.32004E-01 4.49708E-03 8.29830E-03 1.27954E-02 3.56774E-03 0.062864 7 1 30.0 0.0 180.0 6.07719E-02 4.62665E-03 1.53385E-03 6.16051E-03 3.67054E-03 0.025240 7 4 30.0 45.0 135.0 6.76706E-02 4.62219E-03 1.79622E-03 6.41841E-03 3.66700E-03 0.026544 7 7 30.0 90.0 90.0 9.89209E-02 4.59909E-03 3.58407E-03 8.18316E-03 3.64867E-03 0.036232 6 1 40.0 0.0 180.0 5.41303E-02 4.70106E-03 1.52344E-03 6.22449E-03 3.72957E-03 0.028144 6 4 40.0 45.0 135.0 5.93293E-02 4.69346E-03 1.67476E-03 6.36822E-03 3.72354E-03 0.028228 6 7 40.0 90.0 90.0 8.09914E-02 4.68363E-03 2.46206E-03 7.14569E-03 3.71574E-03 0.030399 5 1 50.0 0.0 180.0 5.32222E-02 4.80389E-03 2.19040E-03 6.99429E-03 3.81115E-03 0.041156 5 4 50.0 45.0 135.0 5.73523E-02 4.77323E-03 2.33502E-03 7.10825E-03 3.78683E-03 0.040714 5 7 50.0 90.0 90.0 7.38902E-02 4.77970E-03 2.99139E-03 7.77109E-03 3.79196E-03 0.040484 4 1 60.0 0.0 180.0 5.87509E-02 4.77844E-03 4.71045E-03 9.48889E-03 3.79096E-03 0.080177 4 4 60.0 45.0 135.0 6.17443E-02 4.74387E-03 4.82309E-03 9.56697E-03 3.76354E-03 0.078114 4 7 60.0 90.0 90.0 7.51859E-02 4.81757E-03 5.67569E-03 1.04933E-02 3.82200E-03 0.075489 3 1 70.0 0.0 180.0 7.58716E-02 4.47994E-03 1.24307E-02 1.69107E-02 3.55415E-03 0.163839 3 4 70.0 45.0 135.0 7.69340E-02 4.49716E-03 1.24924E-02 1.69896E-02 3.56781E-03 0.162379 3 7 70.0 90.0 90.0 8.71945E-02 4.57479E-03 1.39031E-02 1.84779E-02 3.62940E-03 0.159449 2 1 80.0 0.0 180.0 1.22095E-01 3.87224E-03 3.02919E-02 3.41641E-02 3.07203E-03 0.248100 2 4 80.0 45.0 135.0 1.18874E-01 3.87849E-03 3.06856E-02 3.45641E-02 3.07699E-03 0.258135 2 7 80.0 90.0 90.0 1.22988E-01 3.95042E-03 3.31578E-02 3.71083E-02 3.13406E-03 0.269603 1 1 87.5 0.0 180.0 1.92931E-01 3.14380E-03 5.31417E-02 5.62855E-02 2.49413E-03 0.275443 1 4 87.5 45.0 135.0 1.82793E-01 2.99751E-03 5.53166E-02 5.83141E-02 2.37807E-03 0.302618 1 7 87.5 90.0 90.0 1.75841E-01 3.37956E-03 5.85832E-02 6.19628E-02 2.68116E-03 0.333159 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 420.0 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 2.605E-02 2.127E-01 1.246E-01 1.189E-01 1.470E-01 2.066E-02 2.180E+00 4.417E-03 3.505E-03 1 0.00 0.00 8.194E-03 3.951E-01 1.630E-02 1.846E-02 2.324E-02 6.621E-03 4.129E+00 3 9.08 10.00 1.775E-03 2.477E-01 6.521E-03 8.485E-03 1.225E-02 6.882E-03 5.103E+00 5 18.16 20.00 3.133E-04 3.450E-02 1.502E-03 1.779E-03 2.164E-03 6.923E-03 5.344E+00 Waveband 4 of 20 completed in 5.2 sec. * * * * * Output for wavelength band 5 (430.0 to 450.0 nm; nominal wavelength = 440.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 43.1 m at 440.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 430.0 nm to 450.0 nm: Ed(diffuse) = 4.383E-01 Ed(direct) = 9.380E-01 Ed(total) = 1.376E+00 Absorption Coefficients of Individual Components at 440.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0063 0.0882 0.0000 0.0176 0.1122 3 9.046 10.000 0.0063 0.0882 0.0000 0.0176 0.1122 5 18.093 20.000 0.0063 0.0882 0.0000 0.0176 0.1122 Scattering Coefficients of Individual Components at 440.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0050 0.2757 0.5116 0.0000 0.7924 3 9.046 10.000 0.0050 0.2757 0.5116 0.0000 0.7924 5 18.093 20.000 0.0050 0.2757 0.5116 0.0000 0.7924 Backscattering Coefficients of Individual Components at 440.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00251 0.00387 0.00090 0.00000 0.00728 3 9.046 10.000 0.00251 0.00387 0.00090 0.00000 0.00728 5 18.093 20.000 0.00251 0.00387 0.00090 0.00000 0.00728 Summary of Inherent Optical Properties at 440.0 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 0.1122 0.7924 0.9046 0.8759 0.00728 0.00918 3 9.046 10.000 0.1122 0.7924 0.9046 0.8759 0.00728 0.00918 5 18.093 20.000 0.1122 0.7924 0.9046 0.8759 0.00728 0.00918 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5038E-01 8 20.00 8.2813E-01 7 30.00 6.6353E-01 6 40.00 4.9294E-01 5 50.00 3.4360E-01 4 60.00 2.2818E-01 3 70.00 1.4705E-01 2 80.00 9.4289E-02 1 87.50 6.7152E-02 1 92.50 5.2252E-02 2 100.00 3.8094E-02 3 110.00 2.6500E-02 4 120.00 1.9386E-02 5 130.00 1.5082E-02 6 140.00 1.2475E-02 7 150.00 1.0903E-02 8 160.00 9.9829E-03 9 170.00 9.4999E-03 10 180.00 9.3331E-03 Asymptotic AOP values are MUu(inf) = 0.3518 MUd(inf) = 0.7095 MU(inf) = 0.6368 R(inf) = 0.0365 Lu(inf)/Ed(inf) = 0.006513 (1/sr) k(inf) = 0.1763 (1/m) absorp(check) = 0.1123 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 440.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.5943E-01 1.8382E+00 1.9976E+00 6.0235E-02 1.3763E+00 0.3778 0.7487 0.6588 4.3767E-02 1 0.00 0.00 8.2821E-02 1.5101E+00 1.5929E+00 3.5423E-02 1.3514E+00 0.4277 0.8949 0.8261 2.6212E-02 3 9.05 10.00 2.7334E-02 3.9071E-01 4.1805E-01 1.0009E-02 2.9242E-01 0.3662 0.7484 0.6755 3.4228E-02 5 18.09 20.00 5.4216E-03 7.4106E-02 7.9528E-02 1.9285E-03 5.3237E-02 0.3557 0.7184 0.6452 3.6225E-02 K-functions (units of 1/meter) at 440.0 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 0.06509 0.10562 0.10351 0.08101 0.13402 0.13545 0.12498 10.000 10.010 10.005 0.14884 0.15760 0.15703 0.15444 0.16534 0.16573 0.16361 20.000 20.010 20.005 0.16982 0.17169 0.17156 0.17110 0.17352 0.17361 0.17330 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 440.0 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 2.18180E-01 4.55716E-03 2.38940E-02 2.84512E-02 3.31124E-03 0.109515 9 1 10.0 0.0 180.0 1.12280E-01 4.62743E-03 6.89911E-03 1.15265E-02 3.36230E-03 0.061445 9 4 10.0 45.0 135.0 1.26090E-01 4.61007E-03 8.98357E-03 1.35936E-02 3.34969E-03 0.071247 9 7 10.0 90.0 90.0 1.81894E-01 4.60663E-03 1.82628E-02 2.28695E-02 3.34719E-03 0.100404 8 1 20.0 0.0 180.0 7.82029E-02 4.68222E-03 2.56879E-03 7.25101E-03 3.40211E-03 0.032848 8 4 20.0 45.0 135.0 8.84405E-02 4.64017E-03 3.35336E-03 7.99354E-03 3.37156E-03 0.037917 8 7 20.0 90.0 90.0 1.35373E-01 4.64688E-03 9.01298E-03 1.36599E-02 3.37643E-03 0.066579 7 1 30.0 0.0 180.0 6.23309E-02 4.76742E-03 1.57571E-03 6.34313E-03 3.46402E-03 0.025280 7 4 30.0 45.0 135.0 6.94066E-02 4.76842E-03 1.85124E-03 6.61966E-03 3.46474E-03 0.026672 7 7 30.0 90.0 90.0 1.01459E-01 4.75921E-03 3.77556E-03 8.53477E-03 3.45805E-03 0.037213 6 1 40.0 0.0 180.0 5.55189E-02 4.84883E-03 1.56252E-03 6.41135E-03 3.52317E-03 0.028144 6 4 40.0 45.0 135.0 6.08514E-02 4.84863E-03 1.71788E-03 6.56651E-03 3.52302E-03 0.028231 6 7 40.0 90.0 90.0 8.30692E-02 4.85868E-03 2.53476E-03 7.39344E-03 3.53032E-03 0.030514 5 1 50.0 0.0 180.0 5.45875E-02 4.96083E-03 2.24659E-03 7.20742E-03 3.60455E-03 0.041156 5 4 50.0 45.0 135.0 5.88236E-02 4.93849E-03 2.39492E-03 7.33341E-03 3.58831E-03 0.040714 5 7 50.0 90.0 90.0 7.57858E-02 4.97021E-03 3.06845E-03 8.03866E-03 3.61136E-03 0.040488 4 1 60.0 0.0 180.0 6.02581E-02 4.94084E-03 4.83129E-03 9.77213E-03 3.59002E-03 0.080177 4 4 60.0 45.0 135.0 6.33282E-02 4.91579E-03 4.94682E-03 9.86261E-03 3.57182E-03 0.078114 4 7 60.0 90.0 90.0 7.71147E-02 5.02145E-03 5.82130E-03 1.08428E-02 3.64860E-03 0.075489 3 1 70.0 0.0 180.0 7.78180E-02 4.63892E-03 1.27496E-02 1.73885E-02 3.37064E-03 0.163839 3 4 70.0 45.0 135.0 7.89076E-02 4.66814E-03 1.28129E-02 1.74811E-02 3.39188E-03 0.162379 3 7 70.0 90.0 90.0 8.94313E-02 4.78029E-03 1.42597E-02 1.90400E-02 3.47337E-03 0.159449 2 1 80.0 0.0 180.0 1.25228E-01 4.01484E-03 3.10690E-02 3.50838E-02 2.91719E-03 0.248100 2 4 80.0 45.0 135.0 1.21924E-01 4.03213E-03 3.14728E-02 3.55050E-02 2.92975E-03 0.258135 2 7 80.0 90.0 90.0 1.26143E-01 4.13656E-03 3.40085E-02 3.81450E-02 3.00563E-03 0.269603 1 1 87.5 0.0 180.0 1.97881E-01 3.26339E-03 5.45050E-02 5.77684E-02 2.37118E-03 0.275443 1 4 87.5 45.0 135.0 1.87483E-01 3.12039E-03 5.67357E-02 5.98561E-02 2.26728E-03 0.302618 1 7 87.5 90.0 90.0 1.80352E-01 3.54528E-03 6.00861E-02 6.36314E-02 2.57601E-03 0.333159 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 440.0 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 2.845E-02 2.182E-01 1.278E-01 1.220E-01 1.508E-01 2.067E-02 2.117E+00 4.557E-03 3.311E-03 1 0.00 0.00 8.452E-03 4.053E-01 1.699E-02 1.946E-02 2.489E-02 6.254E-03 4.191E+00 3 9.05 10.00 1.914E-03 2.819E-01 7.250E-03 9.562E-03 1.401E-02 6.546E-03 5.229E+00 5 18.09 20.00 3.514E-04 4.051E-02 1.756E-03 2.098E-03 2.574E-03 6.600E-03 5.489E+00 Waveband 5 of 20 completed in 5.3 sec. * * * * * Output for wavelength band 6 (450.0 to 470.0 nm; nominal wavelength = 460.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 43.1 m at 460.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 450.0 nm to 470.0 nm: Ed(diffuse) = 4.823E-01 Ed(direct) = 1.108E+00 Ed(total) = 1.590E+00 Absorption Coefficients of Individual Components at 460.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0098 0.0743 0.0000 0.0133 0.0974 3 8.889 10.000 0.0098 0.0743 0.0000 0.0133 0.0974 5 17.778 20.000 0.0098 0.0743 0.0000 0.0133 0.0974 Scattering Coefficients of Individual Components at 460.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0041 0.2757 0.5116 0.0000 0.7915 3 8.889 10.000 0.0041 0.2757 0.5116 0.0000 0.7915 5 17.778 20.000 0.0041 0.2757 0.5116 0.0000 0.7915 Backscattering Coefficients of Individual Components at 460.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00207 0.00387 0.00090 0.00000 0.00684 3 8.889 10.000 0.00207 0.00387 0.00090 0.00000 0.00684 5 17.778 20.000 0.00207 0.00387 0.00090 0.00000 0.00684 Summary of Inherent Optical Properties at 460.0 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 0.0974 0.7915 0.8889 0.8904 0.00684 0.00864 3 8.889 10.000 0.0974 0.7915 0.8889 0.8904 0.00684 0.00864 5 17.778 20.000 0.0974 0.7915 0.8889 0.8904 0.00684 0.00864 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5391E-01 8 20.00 8.3955E-01 7 30.00 6.8338E-01 6 40.00 5.1824E-01 5 50.00 3.7000E-01 4 60.00 2.5211E-01 3 70.00 1.6666E-01 2 80.00 1.0935E-01 1 87.50 7.9012E-02 1 92.50 6.1979E-02 2 100.00 4.5554E-02 3 110.00 3.1854E-02 4 120.00 2.3277E-02 5 130.00 1.7998E-02 6 140.00 1.4758E-02 7 150.00 1.2783E-02 8 160.00 1.1617E-02 9 170.00 1.1002E-02 10 180.00 1.0790E-02 Asymptotic AOP values are MUu(inf) = 0.3510 MUd(inf) = 0.6988 MU(inf) = 0.6186 R(inf) = 0.0416 Lu(inf)/Ed(inf) = 0.007212 (1/sr) k(inf) = 0.1575 (1/m) absorp(check) = 0.0974 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 460.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.8282E-01 2.1033E+00 2.2862E+00 7.0710E-02 1.5899E+00 0.3868 0.7559 0.6645 4.4474E-02 1 0.00 0.00 1.0665E-01 1.7516E+00 1.8582E+00 4.5688E-02 1.5648E+00 0.4284 0.8933 0.8175 2.9198E-02 3 8.89 10.00 4.2916E-02 5.4882E-01 5.9173E-01 1.5719E-02 4.0693E-01 0.3663 0.7415 0.6611 3.8628E-02 5 17.78 20.00 1.0361E-02 1.2628E-01 1.3664E-01 3.6787E-03 8.9508E-02 0.3551 0.7088 0.6281 4.1099E-02 K-functions (units of 1/meter) at 460.0 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 0.05327 0.09077 0.08862 0.06490 0.11714 0.11871 0.10735 10.000 10.010 10.005 0.12868 0.13805 0.13737 0.13463 0.14645 0.14692 0.14452 20.000 20.010 20.005 0.15056 0.15258 0.15243 0.15196 0.15463 0.15474 0.15441 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 460.0 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 2.40084E-01 5.79581E-03 2.78394E-02 3.36352E-02 3.64538E-03 0.115957 9 1 10.0 0.0 180.0 1.23552E-01 5.87014E-03 7.91528E-03 1.37854E-02 3.69213E-03 0.064064 9 4 10.0 45.0 135.0 1.38749E-01 5.85401E-03 1.03520E-02 1.62061E-02 3.68199E-03 0.074610 9 7 10.0 90.0 90.0 2.00154E-01 5.86422E-03 2.12260E-02 2.70902E-02 3.68841E-03 0.106048 8 1 20.0 0.0 180.0 8.60538E-02 5.93804E-03 2.87632E-03 8.81436E-03 3.73483E-03 0.033425 8 4 20.0 45.0 135.0 9.73217E-02 5.89439E-03 3.77955E-03 9.67394E-03 3.70738E-03 0.038836 8 7 20.0 90.0 90.0 1.48946E-01 5.92686E-03 1.03716E-02 1.62985E-02 3.72780E-03 0.069633 7 1 30.0 0.0 180.0 6.85884E-02 6.04858E-03 1.73616E-03 7.78474E-03 3.80436E-03 0.025313 7 4 30.0 45.0 135.0 7.63744E-02 6.06328E-03 2.04517E-03 8.10845E-03 3.81361E-03 0.026778 7 7 30.0 90.0 90.0 1.11644E-01 6.08491E-03 4.24461E-03 1.03295E-02 3.82721E-03 0.038019 6 1 40.0 0.0 180.0 6.10925E-02 6.16124E-03 1.71939E-03 7.88062E-03 3.87522E-03 0.028144 6 4 40.0 45.0 135.0 6.69603E-02 6.17877E-03 1.89048E-03 8.06925E-03 3.88624E-03 0.028233 6 7 40.0 90.0 90.0 9.14086E-02 6.23617E-03 2.79786E-03 9.03403E-03 3.92235E-03 0.030608 5 1 50.0 0.0 180.0 6.00676E-02 6.31398E-03 2.47213E-03 8.78610E-03 3.97129E-03 0.041156 5 4 50.0 45.0 135.0 6.47289E-02 6.30656E-03 2.63535E-03 8.94191E-03 3.96662E-03 0.040714 5 7 50.0 90.0 90.0 8.33940E-02 6.40005E-03 3.37678E-03 9.77684E-03 4.02543E-03 0.040492 4 1 60.0 0.0 180.0 6.63075E-02 6.29875E-03 5.31631E-03 1.16151E-02 3.96171E-03 0.080177 4 4 60.0 45.0 135.0 6.96858E-02 6.29023E-03 5.44344E-03 1.17337E-02 3.95635E-03 0.078114 4 7 60.0 90.0 90.0 8.48563E-02 6.48506E-03 6.40570E-03 1.28908E-02 4.07890E-03 0.075489 3 1 70.0 0.0 180.0 8.56302E-02 5.92240E-03 1.40296E-02 1.99520E-02 3.72500E-03 0.163839 3 4 70.0 45.0 135.0 8.68292E-02 5.98360E-03 1.40992E-02 2.00828E-02 3.76349E-03 0.162379 3 7 70.0 90.0 90.0 9.84094E-02 6.18821E-03 1.56913E-02 2.18795E-02 3.89219E-03 0.159449 2 1 80.0 0.0 180.0 1.37799E-01 5.13097E-03 3.41880E-02 3.93190E-02 3.22721E-03 0.248100 2 4 80.0 45.0 135.0 1.34164E-01 5.17476E-03 3.46324E-02 3.98072E-02 3.25476E-03 0.258135 2 7 80.0 90.0 90.0 1.38806E-01 5.36349E-03 3.74226E-02 4.27861E-02 3.37346E-03 0.269603 1 1 87.5 0.0 180.0 2.17746E-01 4.17266E-03 5.99768E-02 6.41495E-02 2.62447E-03 0.275443 1 4 87.5 45.0 135.0 2.06304E-01 4.00695E-03 6.24315E-02 6.64384E-02 2.52024E-03 0.302618 1 7 87.5 90.0 90.0 1.98458E-01 4.60001E-03 6.61182E-02 7.07182E-02 2.89326E-03 0.333159 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 460.0 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 3.364E-02 2.401E-01 1.409E-01 1.346E-01 1.664E-01 2.116E-02 2.102E+00 5.796E-03 3.645E-03 1 0.00 0.00 1.075E-02 4.461E-01 2.152E-02 2.490E-02 3.203E-02 6.869E-03 4.251E+00 3 8.89 10.00 2.939E-03 3.857E-01 1.110E-02 1.477E-02 2.179E-02 7.222E-03 5.349E+00 5 17.78 20.00 6.522E-04 6.586E-02 3.293E-03 3.962E-03 4.896E-03 7.287E-03 5.640E+00 Waveband 6 of 20 completed in 5.1 sec. * * * * * Output for wavelength band 7 (470.0 to 490.0 nm; nominal wavelength = 480.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 43.1 m at 480.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 470.0 nm to 490.0 nm: Ed(diffuse) = 4.591E-01 Ed(direct) = 1.120E+00 Ed(total) = 1.579E+00 Absorption Coefficients of Individual Components at 480.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0127 0.0625 0.0000 0.0101 0.0853 3 8.761 10.000 0.0127 0.0625 0.0000 0.0101 0.0853 5 17.521 20.000 0.0127 0.0625 0.0000 0.0101 0.0853 Scattering Coefficients of Individual Components at 480.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0034 0.2757 0.5116 0.0000 0.7908 3 8.761 10.000 0.0034 0.2757 0.5116 0.0000 0.7908 5 17.521 20.000 0.0034 0.2757 0.5116 0.0000 0.7908 Backscattering Coefficients of Individual Components at 480.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00172 0.00387 0.00090 0.00000 0.00649 3 8.761 10.000 0.00172 0.00387 0.00090 0.00000 0.00649 5 17.521 20.000 0.00172 0.00387 0.00090 0.00000 0.00649 Summary of Inherent Optical Properties at 480.0 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 0.0853 0.7908 0.8761 0.9027 0.00649 0.00821 3 8.761 10.000 0.0853 0.7908 0.8761 0.9027 0.00649 0.00821 5 17.521 20.000 0.0853 0.7908 0.8761 0.9027 0.00649 0.00821 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5698E-01 8 20.00 8.4957E-01 7 30.00 7.0109E-01 6 40.00 5.4132E-01 5 50.00 3.9473E-01 4 60.00 2.7519E-01 3 70.00 1.8617E-01 2 80.00 1.2479E-01 1 87.50 9.1437E-02 1 92.50 7.2329E-02 2 100.00 5.3645E-02 3 110.00 3.7782E-02 4 120.00 2.7656E-02 5 130.00 2.1320E-02 6 140.00 1.7377E-02 7 150.00 1.4947E-02 8 160.00 1.3502E-02 9 170.00 1.2735E-02 10 180.00 1.2470E-02 Asymptotic AOP values are MUu(inf) = 0.3513 MUd(inf) = 0.6889 MU(inf) = 0.6009 R(inf) = 0.0471 Lu(inf)/Ed(inf) = 0.008018 (1/sr) k(inf) = 0.1419 (1/m) absorp(check) = 0.0853 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 480.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.8172E-01 2.0724E+00 2.2541E+00 7.1815E-02 1.5792E+00 0.3952 0.7620 0.6687 4.5475E-02 1 0.00 0.00 1.1825E-01 1.7483E+00 1.8665E+00 5.0804E-02 1.5581E+00 0.4296 0.8912 0.8075 3.2607E-02 3 8.76 10.00 5.5752E-02 6.4116E-01 6.9692E-01 2.0485E-02 4.7126E-01 0.3674 0.7350 0.6468 4.3468E-02 5 17.52 20.00 1.5832E-02 1.7316E-01 1.8900E-01 5.6290E-03 1.2122E-01 0.3555 0.7000 0.6116 4.6435E-02 K-functions (units of 1/meter) at 480.0 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 0.04650 0.07928 0.07720 0.05277 0.10338 0.10509 0.09321 10.000 10.010 10.005 0.11211 0.12184 0.12106 0.11834 0.13084 0.13141 0.12883 20.000 20.010 20.005 0.13460 0.13673 0.13655 0.13609 0.13897 0.13912 0.13876 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 480.0 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 2.28526E-01 6.37998E-03 2.78485E-02 3.42284E-02 4.03999E-03 0.121861 9 1 10.0 0.0 180.0 1.17604E-01 6.44570E-03 7.81650E-03 1.42622E-02 4.08161E-03 0.066464 9 4 10.0 45.0 135.0 1.32069E-01 6.43423E-03 1.02607E-02 1.66950E-02 4.07434E-03 0.077692 9 7 10.0 90.0 90.0 1.90518E-01 6.46077E-03 2.11897E-02 2.76505E-02 4.09115E-03 0.111221 8 1 20.0 0.0 180.0 8.19110E-02 6.51791E-03 2.78117E-03 9.29908E-03 4.12733E-03 0.033954 8 4 20.0 45.0 135.0 9.26389E-02 6.48019E-03 3.67571E-03 1.01559E-02 4.10345E-03 0.039678 8 7 20.0 90.0 90.0 1.41762E-01 6.54094E-03 1.02682E-02 1.68091E-02 4.14192E-03 0.072433 7 1 30.0 0.0 180.0 6.52865E-02 6.64092E-03 1.65456E-03 8.29547E-03 4.20522E-03 0.025343 7 4 30.0 45.0 135.0 7.26977E-02 6.67118E-03 1.95377E-03 8.62494E-03 4.22439E-03 0.026875 7 7 30.0 90.0 90.0 1.06269E-01 6.72965E-03 4.11880E-03 1.08485E-02 4.26141E-03 0.038758 6 1 40.0 0.0 180.0 5.81515E-02 6.77265E-03 1.63661E-03 8.40926E-03 4.28864E-03 0.028144 6 4 40.0 45.0 135.0 6.37367E-02 6.81044E-03 1.79960E-03 8.61004E-03 4.31257E-03 0.028235 6 7 40.0 90.0 90.0 8.70080E-02 6.91967E-03 2.67069E-03 9.59036E-03 4.38174E-03 0.030695 5 1 50.0 0.0 180.0 5.71759E-02 6.94923E-03 2.35312E-03 9.30235E-03 4.40046E-03 0.041156 5 4 50.0 45.0 135.0 6.16128E-02 6.96278E-03 2.50848E-03 9.47126E-03 4.40904E-03 0.040714 5 7 50.0 90.0 90.0 7.93793E-02 7.11998E-03 3.21447E-03 1.03345E-02 4.50858E-03 0.040495 4 1 60.0 0.0 180.0 6.31154E-02 6.94070E-03 5.06038E-03 1.20011E-02 4.39506E-03 0.080177 4 4 60.0 45.0 135.0 6.63311E-02 6.95530E-03 5.18138E-03 1.21367E-02 4.40430E-03 0.078114 4 7 60.0 90.0 90.0 8.07712E-02 7.23085E-03 6.09733E-03 1.33282E-02 4.57879E-03 0.075489 3 1 70.0 0.0 180.0 8.15079E-02 6.53197E-03 1.33542E-02 1.98861E-02 4.13623E-03 0.163839 3 4 70.0 45.0 135.0 8.26492E-02 6.62368E-03 1.34205E-02 2.00441E-02 4.19431E-03 0.162379 3 7 70.0 90.0 90.0 9.36719E-02 6.91072E-03 1.49359E-02 2.18466E-02 4.37607E-03 0.159449 2 1 80.0 0.0 180.0 1.31166E-01 5.66219E-03 3.25422E-02 3.82044E-02 3.58546E-03 0.248100 2 4 80.0 45.0 135.0 1.27705E-01 5.73230E-03 3.29652E-02 3.86975E-02 3.62986E-03 0.258135 2 7 80.0 90.0 90.0 1.32124E-01 5.99518E-03 3.56210E-02 4.16162E-02 3.79633E-03 0.269603 1 1 87.5 0.0 180.0 2.07264E-01 4.60482E-03 5.70895E-02 6.16943E-02 2.91591E-03 0.275443 1 4 87.5 45.0 135.0 1.96373E-01 4.43901E-03 5.94259E-02 6.38650E-02 2.81091E-03 0.302618 1 7 87.5 90.0 90.0 1.88904E-01 5.14210E-03 6.29352E-02 6.80773E-02 3.25613E-03 0.333159 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 480.0 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 3.423E-02 2.285E-01 1.345E-01 1.285E-01 1.588E-01 2.167E-02 2.098E+00 6.380E-03 4.040E-03 1 0.00 0.00 1.183E-02 4.247E-01 2.349E-02 2.741E-02 3.539E-02 7.592E-03 4.295E+00 3 8.76 10.00 3.771E-03 4.400E-01 1.405E-02 1.881E-02 2.787E-02 8.001E-03 5.433E+00 5 17.52 20.00 9.789E-04 8.658E-02 4.926E-03 5.961E-03 7.403E-03 8.075E-03 5.750E+00 Waveband 7 of 20 completed in 5.0 sec. * * * * * Output for wavelength band 8 (490.0 to 510.0 nm; nominal wavelength = 500.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 43.1 m at 500.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 490.0 nm to 510.0 nm: Ed(diffuse) = 4.387E-01 Ed(direct) = 1.127E+00 Ed(total) = 1.565E+00 Absorption Coefficients of Individual Components at 500.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0204 0.0497 0.0000 0.0076 0.0777 3 8.680 10.000 0.0204 0.0497 0.0000 0.0076 0.0777 5 17.360 20.000 0.0204 0.0497 0.0000 0.0076 0.0777 Scattering Coefficients of Individual Components at 500.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0029 0.2757 0.5116 0.0000 0.7903 3 8.680 10.000 0.0029 0.2757 0.5116 0.0000 0.7903 5 17.360 20.000 0.0029 0.2757 0.5116 0.0000 0.7903 Backscattering Coefficients of Individual Components at 500.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00144 0.00387 0.00090 0.00000 0.00621 3 8.680 10.000 0.00144 0.00387 0.00090 0.00000 0.00621 5 17.360 20.000 0.00144 0.00387 0.00090 0.00000 0.00621 Summary of Inherent Optical Properties at 500.0 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 0.0777 0.7903 0.8680 0.9104 0.00621 0.00786 3 8.680 10.000 0.0777 0.7903 0.8680 0.9104 0.00621 0.00786 5 17.360 20.000 0.0777 0.7903 0.8680 0.9104 0.00621 0.00786 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5897E-01 8 20.00 8.5612E-01 7 30.00 7.1280E-01 6 40.00 5.5682E-01 5 50.00 4.1167E-01 4 60.00 2.9133E-01 3 70.00 2.0010E-01 2 80.00 1.3604E-01 1 87.50 1.0062E-01 1 92.50 8.0049E-02 2 100.00 5.9743E-02 3 110.00 4.2292E-02 4 120.00 3.1001E-02 5 130.00 2.3853E-02 6 140.00 1.9362E-02 7 150.00 1.6574E-02 8 160.00 1.4905E-02 9 170.00 1.4017E-02 10 180.00 1.3709E-02 Asymptotic AOP values are MUu(inf) = 0.3516 MUd(inf) = 0.6823 MU(inf) = 0.5888 R(inf) = 0.0512 Lu(inf)/Ed(inf) = 0.008591 (1/sr) k(inf) = 0.1320 (1/m) absorp(check) = 0.0777 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 500.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.7976E-01 2.0406E+00 2.2203E+00 7.2233E-02 1.5654E+00 0.4018 0.7671 0.6725 4.6143E-02 1 0.00 0.00 1.2596E-01 1.7389E+00 1.8648E+00 5.4217E-02 1.5473E+00 0.4304 0.8898 0.8007 3.5040E-02 3 8.68 10.00 6.5648E-02 7.0423E-01 7.6988E-01 2.4178E-02 5.1467E-01 0.3683 0.7308 0.6371 4.6978E-02 5 17.36 20.00 2.0672E-02 2.1055E-01 2.3122E-01 7.3587E-03 1.4617E-01 0.3560 0.6942 0.6003 5.0345E-02 K-functions (units of 1/meter) at 500.0 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 0.04181 0.07233 0.07026 0.04513 0.09478 0.09658 0.08424 10.000 10.010 10.005 0.10156 0.11156 0.11071 0.10797 0.12099 0.12163 0.11885 20.000 20.010 20.005 0.12445 0.12668 0.12648 0.12602 0.12908 0.12924 0.12882 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 500.0 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 2.18393E-01 6.75808E-03 2.77659E-02 3.45240E-02 4.31713E-03 0.127138 9 1 10.0 0.0 180.0 1.12390E-01 6.81401E-03 7.71097E-03 1.45250E-02 4.35286E-03 0.068609 9 4 10.0 45.0 135.0 1.26213E-01 6.80710E-03 1.01534E-02 1.69605E-02 4.34844E-03 0.080447 9 7 10.0 90.0 90.0 1.82071E-01 6.84804E-03 2.10919E-02 2.79399E-02 4.37460E-03 0.115844 8 1 20.0 0.0 180.0 7.82790E-02 6.88792E-03 2.69484E-03 9.58276E-03 4.40007E-03 0.034426 8 4 20.0 45.0 135.0 8.85332E-02 6.85661E-03 3.57944E-03 1.04360E-02 4.38007E-03 0.040430 8 7 20.0 90.0 90.0 1.35464E-01 6.94188E-03 1.01510E-02 1.70929E-02 4.43454E-03 0.074935 7 1 30.0 0.0 180.0 6.23916E-02 7.01871E-03 1.58288E-03 8.60159E-03 4.48362E-03 0.025370 7 4 30.0 45.0 135.0 6.94742E-02 7.06250E-03 1.87316E-03 8.93566E-03 4.51159E-03 0.026962 7 7 30.0 90.0 90.0 1.01557E-01 7.15342E-03 4.00324E-03 1.11567E-02 4.56967E-03 0.039418 6 1 40.0 0.0 180.0 5.55730E-02 7.16359E-03 1.56405E-03 8.72764E-03 4.57617E-03 0.028144 6 4 40.0 45.0 135.0 6.09106E-02 7.21904E-03 1.71991E-03 8.93895E-03 4.61159E-03 0.028237 6 7 40.0 90.0 90.0 8.31500E-02 7.37317E-03 2.55870E-03 9.93187E-03 4.71005E-03 0.030772 5 1 50.0 0.0 180.0 5.46407E-02 7.35653E-03 2.24878E-03 9.60530E-03 4.69942E-03 0.041156 5 4 50.0 45.0 135.0 5.88808E-02 7.38897E-03 2.39725E-03 9.78622E-03 4.72014E-03 0.040714 5 7 50.0 90.0 90.0 7.58596E-02 7.60078E-03 3.07216E-03 1.06729E-02 4.85545E-03 0.040498 4 1 60.0 0.0 180.0 6.03168E-02 7.35328E-03 4.83600E-03 1.21893E-02 4.69735E-03 0.080177 4 4 60.0 45.0 135.0 6.33899E-02 7.38872E-03 4.95164E-03 1.23404E-02 4.71999E-03 0.078114 4 7 60.0 90.0 90.0 7.71897E-02 7.73151E-03 5.82696E-03 1.35585E-02 4.93896E-03 0.075489 3 1 70.0 0.0 180.0 7.78937E-02 6.92422E-03 1.27620E-02 1.96862E-02 4.42326E-03 0.163839 3 4 70.0 45.0 135.0 7.89845E-02 7.04161E-03 1.28254E-02 1.98670E-02 4.49825E-03 0.162379 3 7 70.0 90.0 90.0 8.95184E-02 7.39716E-03 1.42736E-02 2.16708E-02 4.72538E-03 0.159449 2 1 80.0 0.0 180.0 1.25350E-01 6.00412E-03 3.10992E-02 3.71034E-02 3.83549E-03 0.248100 2 4 80.0 45.0 135.0 1.22043E-01 6.09660E-03 3.15035E-02 3.76001E-02 3.89457E-03 0.258135 2 7 80.0 90.0 90.0 1.26265E-01 6.42107E-03 3.40416E-02 4.04626E-02 4.10184E-03 0.269603 1 1 87.5 0.0 180.0 1.98074E-01 4.88267E-03 5.45581E-02 5.94407E-02 3.11910E-03 0.275443 1 4 87.5 45.0 135.0 1.87665E-01 4.72110E-03 5.67909E-02 6.15120E-02 3.01588E-03 0.302618 1 7 87.5 90.0 90.0 1.80528E-01 5.50736E-03 6.01446E-02 6.56520E-02 3.51815E-03 0.333159 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 500.0 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 3.452E-02 2.184E-01 1.288E-01 1.231E-01 1.522E-01 2.205E-02 2.092E+00 6.758E-03 4.317E-03 1 0.00 0.00 1.253E-02 4.059E-01 2.474E-02 2.907E-02 3.766E-02 8.098E-03 4.327E+00 3 8.68 10.00 4.402E-03 4.762E-01 1.622E-02 2.184E-02 3.249E-02 8.554E-03 5.492E+00 5 17.36 20.00 1.263E-03 1.024E-01 6.333E-03 7.698E-03 9.595E-03 8.639E-03 5.828E+00 Waveband 8 of 20 completed in 4.9 sec. * * * * * Output for wavelength band 9 (510.0 to 530.0 nm; nominal wavelength = 520.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 43.1 m at 520.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 510.0 nm to 530.0 nm: Ed(diffuse) = 4.092E-01 Ed(direct) = 1.097E+00 Ed(total) = 1.507E+00 Absorption Coefficients of Individual Components at 520.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0409 0.0354 0.0000 0.0058 0.0821 3 8.719 10.000 0.0409 0.0354 0.0000 0.0058 0.0821 5 17.438 20.000 0.0409 0.0354 0.0000 0.0058 0.0821 Scattering Coefficients of Individual Components at 520.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0024 0.2757 0.5116 0.0000 0.7898 3 8.719 10.000 0.0024 0.2757 0.5116 0.0000 0.7898 5 17.438 20.000 0.0024 0.2757 0.5116 0.0000 0.7898 Backscattering Coefficients of Individual Components at 520.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00122 0.00387 0.00090 0.00000 0.00599 3 8.719 10.000 0.00122 0.00387 0.00090 0.00000 0.00599 5 17.438 20.000 0.00122 0.00387 0.00090 0.00000 0.00599 Summary of Inherent Optical Properties at 520.0 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 0.0821 0.7898 0.8719 0.9058 0.00599 0.00758 3 8.719 10.000 0.0821 0.7898 0.8719 0.9058 0.00599 0.00758 5 17.438 20.000 0.0821 0.7898 0.8719 0.9058 0.00599 0.00758 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5779E-01 8 20.00 8.5220E-01 7 30.00 7.0574E-01 6 40.00 5.4736E-01 5 50.00 4.0117E-01 4 60.00 2.8113E-01 3 70.00 1.9107E-01 2 80.00 1.2851E-01 1 87.50 9.4285E-02 1 92.50 7.4571E-02 2 100.00 5.5232E-02 3 110.00 3.8747E-02 4 120.00 2.8179E-02 5 130.00 2.1544E-02 6 140.00 1.7404E-02 7 150.00 1.4848E-02 8 160.00 1.3326E-02 9 170.00 1.2518E-02 10 180.00 1.2239E-02 Asymptotic AOP values are MUu(inf) = 0.3483 MUd(inf) = 0.6866 MU(inf) = 0.5984 R(inf) = 0.0473 Lu(inf)/Ed(inf) = 0.007793 (1/sr) k(inf) = 0.1372 (1/m) absorp(check) = 0.0821 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 520.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.6623E-01 1.9530E+00 2.1193E+00 6.7017E-02 1.5067E+00 0.4032 0.7714 0.6793 4.4481E-02 1 0.00 0.00 1.1132E-01 1.6646E+00 1.7759E+00 4.7666E-02 1.4872E+00 0.4282 0.8934 0.8106 3.2051E-02 3 8.72 10.00 5.6066E-02 6.4215E-01 6.9821E-01 2.0463E-02 4.7169E-01 0.3650 0.7346 0.6463 4.3381E-02 5 17.44 20.00 1.6801E-02 1.8231E-01 1.9912E-01 5.9265E-03 1.2731E-01 0.3527 0.6983 0.6096 4.6551E-02 K-functions (units of 1/meter) at 520.0 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 0.04046 0.07503 0.07286 0.04651 0.09903 0.10077 0.08780 10.000 10.010 10.005 0.10625 0.11669 0.11586 0.11270 0.12600 0.12660 0.12371 20.000 20.010 20.005 0.12955 0.13186 0.13166 0.13111 0.13420 0.13436 0.13394 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 520.0 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 2.03698E-01 5.88691E-03 2.68520E-02 3.27389E-02 3.90728E-03 0.131823 9 1 10.0 0.0 180.0 1.04828E-01 5.93359E-03 7.39179E-03 1.33254E-02 3.93827E-03 0.070514 9 4 10.0 45.0 135.0 1.17721E-01 5.92829E-03 9.75814E-03 1.56864E-02 3.93475E-03 0.082892 9 7 10.0 90.0 90.0 1.69820E-01 5.96604E-03 2.03698E-02 2.63358E-02 3.95981E-03 0.119949 8 1 20.0 0.0 180.0 7.30121E-02 5.99784E-03 2.54416E-03 8.54200E-03 3.98091E-03 0.034846 8 4 20.0 45.0 135.0 8.25779E-02 5.97179E-03 3.39384E-03 9.36563E-03 3.96362E-03 0.041099 8 7 20.0 90.0 90.0 1.26339E-01 6.04970E-03 9.74802E-03 1.57977E-02 4.01533E-03 0.077158 7 1 30.0 0.0 180.0 5.81936E-02 6.11236E-03 1.47777E-03 7.59013E-03 4.05692E-03 0.025394 7 4 30.0 45.0 135.0 6.47997E-02 6.15229E-03 1.75211E-03 7.90440E-03 4.08342E-03 0.027039 7 7 30.0 90.0 90.0 9.47241E-02 6.23686E-03 3.78942E-03 1.00263E-02 4.13955E-03 0.040005 6 1 40.0 0.0 180.0 5.18338E-02 6.24079E-03 1.45881E-03 7.69960E-03 4.14216E-03 0.028144 6 4 40.0 45.0 135.0 5.68123E-02 6.29176E-03 1.60427E-03 7.89603E-03 4.17599E-03 0.028238 6 7 40.0 90.0 90.0 7.75553E-02 6.43405E-03 2.39186E-03 8.82592E-03 4.27043E-03 0.030841 5 1 50.0 0.0 180.0 5.09642E-02 6.41253E-03 2.09747E-03 8.51000E-03 4.25615E-03 0.041156 5 4 50.0 45.0 135.0 5.49191E-02 6.44431E-03 2.23595E-03 8.68026E-03 4.27724E-03 0.040714 5 7 50.0 90.0 90.0 7.07554E-02 6.63977E-03 2.86563E-03 9.50540E-03 4.40697E-03 0.040500 4 1 60.0 0.0 180.0 5.62584E-02 6.41404E-03 4.51061E-03 1.09246E-02 4.25715E-03 0.080177 4 4 60.0 45.0 135.0 5.91247E-02 6.44922E-03 4.61847E-03 1.10677E-02 4.28050E-03 0.078114 4 7 60.0 90.0 90.0 7.19961E-02 6.76186E-03 5.43490E-03 1.21968E-02 4.48801E-03 0.075489 3 1 70.0 0.0 180.0 7.26527E-02 6.04566E-03 1.19033E-02 1.79490E-02 4.01265E-03 0.163839 3 4 70.0 45.0 135.0 7.36700E-02 6.15309E-03 1.19624E-02 1.81155E-02 4.08395E-03 0.162379 3 7 70.0 90.0 90.0 8.34952E-02 6.47949E-03 1.33132E-02 1.97927E-02 4.30059E-03 0.159449 2 1 80.0 0.0 180.0 1.16915E-01 5.24747E-03 2.90067E-02 3.42542E-02 3.48287E-03 0.248100 2 4 80.0 45.0 135.0 1.13831E-01 5.33332E-03 2.93838E-02 3.47171E-02 3.53985E-03 0.258135 2 7 80.0 90.0 90.0 1.17770E-01 5.63277E-03 3.17511E-02 3.73839E-02 3.73860E-03 0.269603 1 1 87.5 0.0 180.0 1.84746E-01 4.27206E-03 5.08871E-02 5.51592E-02 2.83547E-03 0.275443 1 4 87.5 45.0 135.0 1.75038E-01 4.13501E-03 5.29698E-02 5.71048E-02 2.74451E-03 0.302618 1 7 87.5 90.0 90.0 1.68381E-01 4.83895E-03 5.60978E-02 6.09368E-02 3.21172E-03 0.333159 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 520.0 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 3.274E-02 2.037E-01 1.200E-01 1.147E-01 1.418E-01 2.173E-02 2.047E+00 5.887E-03 3.907E-03 1 0.00 0.00 1.091E-02 3.787E-01 2.183E-02 2.583E-02 3.384E-02 7.338E-03 4.368E+00 3 8.72 10.00 3.671E-03 4.410E-01 1.399E-02 1.899E-02 2.850E-02 7.782E-03 5.574E+00 5 17.44 20.00 1.001E-03 9.042E-02 5.220E-03 6.373E-03 7.979E-03 7.866E-03 5.918E+00 Waveband 9 of 20 completed in 5.0 sec. * * * * * Output for wavelength band 10 (530.0 to 550.0 nm; nominal wavelength = 540.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 43.1 m at 540.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 530.0 nm to 550.0 nm: Ed(diffuse) = 4.042E-01 Ed(direct) = 1.125E+00 Ed(total) = 1.529E+00 Absorption Coefficients of Individual Components at 540.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0474 0.0272 0.0000 0.0044 0.0789 3 8.684 10.000 0.0474 0.0272 0.0000 0.0044 0.0789 5 17.367 20.000 0.0474 0.0272 0.0000 0.0044 0.0789 Scattering Coefficients of Individual Components at 540.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0021 0.2757 0.5116 0.0000 0.7894 3 8.684 10.000 0.0021 0.2757 0.5116 0.0000 0.7894 5 17.367 20.000 0.0021 0.2757 0.5116 0.0000 0.7894 Backscattering Coefficients of Individual Components at 540.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00104 0.00387 0.00090 0.00000 0.00580 3 8.684 10.000 0.00104 0.00387 0.00090 0.00000 0.00580 5 17.367 20.000 0.00104 0.00387 0.00090 0.00000 0.00580 Summary of Inherent Optical Properties at 540.0 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 0.0789 0.7894 0.8684 0.9091 0.00580 0.00735 3 8.684 10.000 0.0789 0.7894 0.8684 0.9091 0.00580 0.00735 5 17.367 20.000 0.0789 0.7894 0.8684 0.9091 0.00580 0.00735 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5864E-01 8 20.00 8.5499E-01 7 30.00 7.1071E-01 6 40.00 5.5394E-01 5 50.00 4.0835E-01 4 60.00 2.8795E-01 3 70.00 1.9693E-01 2 80.00 1.3321E-01 1 87.50 9.8089E-02 1 92.50 7.7741E-02 2 100.00 5.7699E-02 3 110.00 4.0529E-02 4 120.00 2.9459E-02 5 130.00 2.2475E-02 6 140.00 1.8101E-02 7 150.00 1.5393E-02 8 160.00 1.3776E-02 9 170.00 1.2915E-02 10 180.00 1.2618E-02 Asymptotic AOP values are MUu(inf) = 0.3478 MUd(inf) = 0.6839 MU(inf) = 0.5937 R(inf) = 0.0487 Lu(inf)/Ed(inf) = 0.007948 (1/sr) k(inf) = 0.1329 (1/m) absorp(check) = 0.0789 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 540.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.6717E-01 1.9731E+00 2.1403E+00 6.8062E-02 1.5294E+00 0.4072 0.7751 0.6828 4.4504E-02 1 0.00 0.00 1.1551E-01 1.6909E+00 1.8064E+00 4.9468E-02 1.5107E+00 0.4282 0.8934 0.8089 3.2746E-02 3 8.68 10.00 6.1062E-02 6.8142E-01 7.4248E-01 2.2285E-02 4.9950E-01 0.3650 0.7330 0.6427 4.4615E-02 5 17.37 20.00 1.9168E-02 2.0229E-01 2.2146E-01 6.7577E-03 1.4078E-01 0.3525 0.6959 0.6052 4.8003E-02 K-functions (units of 1/meter) at 540.0 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 0.03769 0.07187 0.06968 0.04246 0.09527 0.09706 0.08339 10.000 10.010 10.005 0.10141 0.11217 0.11128 0.10795 0.12169 0.12233 0.11916 20.000 20.010 20.005 0.12505 0.12746 0.12725 0.12664 0.12988 0.13004 0.12954 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 540.0 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 2.01226E-01 6.07469E-03 2.73663E-02 3.34410E-02 3.97204E-03 0.135998 9 1 10.0 0.0 180.0 1.03556E-01 6.11511E-03 7.47784E-03 1.35929E-02 3.99847E-03 0.072211 9 4 10.0 45.0 135.0 1.16292E-01 6.11255E-03 9.89318E-03 1.60057E-02 3.99679E-03 0.085072 9 7 10.0 90.0 90.0 1.67759E-01 6.15871E-03 2.07363E-02 2.68950E-02 4.02698E-03 0.123607 8 1 20.0 0.0 180.0 7.21261E-02 6.17979E-03 2.54025E-03 8.72004E-03 4.04076E-03 0.035220 8 4 20.0 45.0 135.0 8.15773E-02 6.15771E-03 3.40129E-03 9.55901E-03 4.02633E-03 0.041694 8 7 20.0 90.0 90.0 1.24797E-01 6.24990E-03 9.87623E-03 1.61261E-02 4.08660E-03 0.079138 7 1 30.0 0.0 180.0 5.74874E-02 6.29802E-03 1.46107E-03 7.75909E-03 4.11807E-03 0.025415 7 4 30.0 45.0 135.0 6.40133E-02 6.34577E-03 1.73524E-03 8.08101E-03 4.14929E-03 0.027108 7 7 30.0 90.0 90.0 9.35746E-02 6.44944E-03 3.79234E-03 1.02418E-02 4.21708E-03 0.040527 6 1 40.0 0.0 180.0 5.12048E-02 6.43325E-03 1.44111E-03 7.87436E-03 4.20649E-03 0.028144 6 4 40.0 45.0 135.0 5.61228E-02 6.49451E-03 1.58488E-03 8.07939E-03 4.24655E-03 0.028239 6 7 40.0 90.0 90.0 7.66142E-02 6.66331E-03 2.36753E-03 9.03083E-03 4.35692E-03 0.030902 5 1 50.0 0.0 180.0 5.03458E-02 6.61373E-03 2.07202E-03 8.68574E-03 4.32450E-03 0.041156 5 4 50.0 45.0 135.0 5.42526E-02 6.65678E-03 2.20882E-03 8.86560E-03 4.35265E-03 0.040714 5 7 50.0 90.0 90.0 6.98968E-02 6.88470E-03 2.83101E-03 9.71570E-03 4.50168E-03 0.040503 4 1 60.0 0.0 180.0 5.55757E-02 6.61863E-03 4.45587E-03 1.10745E-02 4.32771E-03 0.080177 4 4 60.0 45.0 135.0 5.84072E-02 6.66638E-03 4.56242E-03 1.12288E-02 4.35893E-03 0.078114 4 7 60.0 90.0 90.0 7.11224E-02 7.01882E-03 5.36895E-03 1.23878E-02 4.58938E-03 0.075489 3 1 70.0 0.0 180.0 7.17710E-02 6.24121E-03 1.17589E-02 1.80001E-02 4.08092E-03 0.163839 3 4 70.0 45.0 135.0 7.27760E-02 6.36381E-03 1.18173E-02 1.81811E-02 4.16109E-03 0.162379 3 7 70.0 90.0 90.0 8.24820E-02 6.73135E-03 1.31517E-02 1.98830E-02 4.40141E-03 0.159449 2 1 80.0 0.0 180.0 1.15497E-01 5.41881E-03 2.86547E-02 3.40735E-02 3.54318E-03 0.248100 2 4 80.0 45.0 135.0 1.12450E-01 5.51811E-03 2.90272E-02 3.45453E-02 3.60811E-03 0.258135 2 7 80.0 90.0 90.0 1.16341E-01 5.85501E-03 3.13658E-02 3.72208E-02 3.82840E-03 0.269603 1 1 87.5 0.0 180.0 1.82504E-01 4.41205E-03 5.02696E-02 5.46817E-02 2.88490E-03 0.275443 1 4 87.5 45.0 135.0 1.72914E-01 4.27898E-03 5.23270E-02 5.66060E-02 2.79789E-03 0.302618 1 7 87.5 90.0 90.0 1.66338E-01 5.03108E-03 5.54171E-02 6.04481E-02 3.28966E-03 0.333159 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 540.0 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 3.344E-02 2.012E-01 1.186E-01 1.134E-01 1.402E-01 2.187E-02 2.035E+00 6.075E-03 3.972E-03 1 0.00 0.00 1.126E-02 3.741E-01 2.248E-02 2.676E-02 3.521E-02 7.454E-03 4.393E+00 3 8.68 10.00 3.965E-03 4.657E-01 1.509E-02 2.058E-02 3.101E-02 7.938E-03 5.620E+00 5 17.37 20.00 1.131E-03 9.921E-02 5.917E-03 7.247E-03 9.098E-03 8.035E-03 5.974E+00 Waveband 10 of 20 completed in 5.0 sec. * * * * * Output for wavelength band 11 (550.0 to 570.0 nm; nominal wavelength = 560.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 42.9 m at 560.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 550.0 nm to 570.0 nm: Ed(diffuse) = 3.877E-01 Ed(direct) = 1.114E+00 Ed(total) = 1.502E+00 Absorption Coefficients of Individual Components at 560.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0619 0.0202 0.0000 0.0033 0.0853 3 8.745 10.000 0.0619 0.0202 0.0000 0.0033 0.0853 5 17.490 20.000 0.0619 0.0202 0.0000 0.0033 0.0853 Scattering Coefficients of Individual Components at 560.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0018 0.2757 0.5116 0.0000 0.7891 3 8.745 10.000 0.0018 0.2757 0.5116 0.0000 0.7891 5 17.490 20.000 0.0018 0.2757 0.5116 0.0000 0.7891 Backscattering Coefficients of Individual Components at 560.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00089 0.00387 0.00090 0.00000 0.00565 3 8.745 10.000 0.00089 0.00387 0.00090 0.00000 0.00565 5 17.490 20.000 0.00089 0.00387 0.00090 0.00000 0.00565 Summary of Inherent Optical Properties at 560.0 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 0.0853 0.7891 0.8745 0.9024 0.00565 0.00716 3 8.745 10.000 0.0853 0.7891 0.8745 0.9024 0.00565 0.00716 5 17.490 20.000 0.0853 0.7891 0.8745 0.9024 0.00565 0.00716 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5692E-01 8 20.00 8.4933E-01 7 30.00 7.0057E-01 6 40.00 5.4045E-01 5 50.00 3.9352E-01 4 60.00 2.7368E-01 3 70.00 1.8446E-01 2 80.00 1.2297E-01 1 87.50 8.9594E-02 1 92.50 7.0482E-02 2 100.00 5.1822E-02 3 110.00 3.6018E-02 4 120.00 2.5957E-02 5 130.00 1.9681E-02 6 140.00 1.5788E-02 7 150.00 1.3395E-02 8 160.00 1.1976E-02 9 170.00 1.1223E-02 10 180.00 1.0964E-02 Asymptotic AOP values are MUu(inf) = 0.3443 MUd(inf) = 0.6900 MU(inf) = 0.6063 R(inf) = 0.0439 Lu(inf)/Ed(inf) = 0.007064 (1/sr) k(inf) = 0.1408 (1/m) absorp(check) = 0.0853 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 560.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.5765E-01 1.9301E+00 2.0877E+00 6.4196E-02 1.5021E+00 0.4072 0.7782 0.6887 4.2738E-02 1 0.00 0.00 1.0189E-01 1.6506E+00 1.7525E+00 4.3363E-02 1.4811E+00 0.4256 0.8973 0.8204 2.9277E-02 3 8.74 10.00 5.0766E-02 6.1674E-01 6.6751E-01 1.8342E-02 4.5505E-01 0.3613 0.7378 0.6542 4.0309E-02 5 17.49 20.00 1.4764E-02 1.6915E-01 1.8391E-01 5.1563E-03 1.1866E-01 0.3492 0.7015 0.6172 4.3454E-02 K-functions (units of 1/meter) at 560.0 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 0.03650 0.07656 0.07423 0.04540 0.10187 0.10357 0.08904 10.000 10.010 10.005 0.10883 0.12009 0.11923 0.11531 0.12938 0.12997 0.12648 20.000 20.010 20.005 0.13279 0.13534 0.13514 0.13433 0.13769 0.13784 0.13713 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 560.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.92997E-01 5.28079E-03 2.69697E-02 3.22505E-02 3.51567E-03 0.139742 9 1 10.0 0.0 180.0 9.93203E-02 5.31660E-03 7.32318E-03 1.26398E-02 3.53951E-03 0.073733 9 4 10.0 45.0 135.0 1.11536E-01 5.31405E-03 9.70655E-03 1.50206E-02 3.53781E-03 0.087026 9 7 10.0 90.0 90.0 1.60898E-01 5.35372E-03 2.04160E-02 2.57697E-02 3.56422E-03 0.126887 8 1 20.0 0.0 180.0 6.91763E-02 5.37319E-03 2.45956E-03 7.83275E-03 3.57718E-03 0.035555 8 4 20.0 45.0 135.0 7.82422E-02 5.35351E-03 3.30402E-03 8.65753E-03 3.56408E-03 0.042228 8 7 20.0 90.0 90.0 1.19685E-01 5.43312E-03 9.68433E-03 1.51175E-02 3.61708E-03 0.080915 7 1 30.0 0.0 180.0 5.51363E-02 5.47642E-03 1.40237E-03 6.87880E-03 3.64591E-03 0.025435 7 4 30.0 45.0 135.0 6.13953E-02 5.51739E-03 1.66805E-03 7.18544E-03 3.67318E-03 0.027169 7 7 30.0 90.0 90.0 8.97476E-02 5.60714E-03 3.67930E-03 9.28644E-03 3.73294E-03 0.040996 6 1 40.0 0.0 180.0 4.91106E-02 5.59508E-03 1.38217E-03 6.97725E-03 3.72490E-03 0.028144 6 4 40.0 45.0 135.0 5.38275E-02 5.64794E-03 1.52013E-03 7.16807E-03 3.76010E-03 0.028241 6 7 40.0 90.0 90.0 7.34808E-02 5.79512E-03 2.27473E-03 8.06985E-03 3.85808E-03 0.030957 5 1 50.0 0.0 180.0 4.82867E-02 5.75438E-03 1.98728E-03 7.74166E-03 3.83096E-03 0.041156 5 4 50.0 45.0 135.0 5.20338E-02 5.79176E-03 2.11848E-03 7.91024E-03 3.85584E-03 0.040714 5 7 50.0 90.0 90.0 6.70382E-02 5.99192E-03 2.71536E-03 8.70728E-03 3.98910E-03 0.040505 4 1 60.0 0.0 180.0 5.33028E-02 5.76173E-03 4.27364E-03 1.00354E-02 3.83585E-03 0.080177 4 4 60.0 45.0 135.0 5.60185E-02 5.80362E-03 4.37583E-03 1.01794E-02 3.86374E-03 0.078114 4 7 60.0 90.0 90.0 6.82136E-02 6.11405E-03 5.14937E-03 1.12634E-02 4.07040E-03 0.075489 3 1 70.0 0.0 180.0 6.88358E-02 5.43813E-03 1.12780E-02 1.67161E-02 3.62041E-03 0.163839 3 4 70.0 45.0 135.0 6.97997E-02 5.54592E-03 1.13340E-02 1.68799E-02 3.69217E-03 0.162379 3 7 70.0 90.0 90.0 7.91086E-02 5.87206E-03 1.26138E-02 1.84859E-02 3.90930E-03 0.159449 2 1 80.0 0.0 180.0 1.10773E-01 4.72621E-03 2.74828E-02 3.22090E-02 3.14645E-03 0.248100 2 4 80.0 45.0 135.0 1.07851E-01 4.81428E-03 2.78401E-02 3.26543E-02 3.20509E-03 0.258135 2 7 80.0 90.0 90.0 1.11583E-01 5.11505E-03 3.00830E-02 3.51981E-02 3.40533E-03 0.269603 1 1 87.5 0.0 180.0 1.75040E-01 3.85278E-03 4.82137E-02 5.20665E-02 2.56497E-03 0.275443 1 4 87.5 45.0 135.0 1.65842E-01 3.73811E-03 5.01869E-02 5.39251E-02 2.48863E-03 0.302618 1 7 87.5 90.0 90.0 1.59535E-01 4.40294E-03 5.31506E-02 5.75536E-02 2.93124E-03 0.333159 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 560.0 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 3.225E-02 1.930E-01 1.136E-01 1.085E-01 1.342E-01 2.147E-02 1.991E+00 5.281E-03 3.516E-03 1 0.00 0.00 9.790E-03 3.588E-01 1.985E-02 2.377E-02 3.164E-02 6.609E-03 4.430E+00 3 8.74 10.00 3.222E-03 4.297E-01 1.274E-02 1.750E-02 2.657E-02 7.081E-03 5.692E+00 5 17.49 20.00 8.530E-04 8.520E-02 4.640E-03 5.701E-03 7.182E-03 7.189E-03 6.045E+00 Waveband 11 of 20 completed in 5.1 sec. * * * * * Output for wavelength band 12 (570.0 to 590.0 nm; nominal wavelength = 580.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 42.3 m at 580.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 570.0 nm to 590.0 nm: Ed(diffuse) = 3.729E-01 Ed(direct) = 1.102E+00 Ed(total) = 1.475E+00 Absorption Coefficients of Individual Components at 580.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0896 0.0175 0.0000 0.0025 0.1096 3 8.985 10.000 0.0896 0.0175 0.0000 0.0025 0.1096 5 17.970 20.000 0.0896 0.0175 0.0000 0.0025 0.1096 Scattering Coefficients of Individual Components at 580.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0015 0.2757 0.5116 0.0000 0.7889 3 8.985 10.000 0.0015 0.2757 0.5116 0.0000 0.7889 5 17.970 20.000 0.0015 0.2757 0.5116 0.0000 0.7889 Backscattering Coefficients of Individual Components at 580.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00076 0.00387 0.00090 0.00000 0.00553 3 8.985 10.000 0.00076 0.00387 0.00090 0.00000 0.00553 5 17.970 20.000 0.00076 0.00387 0.00090 0.00000 0.00553 Summary of Inherent Optical Properties at 580.0 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 0.7889 0.8985 0.8780 0.00553 0.00701 3 8.985 10.000 0.1096 0.7889 0.8985 0.8780 0.00553 0.00701 5 17.970 20.000 0.1096 0.7889 0.8985 0.8780 0.00553 0.00701 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5091E-01 8 20.00 8.2978E-01 7 30.00 6.6619E-01 6 40.00 4.9593E-01 5 50.00 3.4615E-01 4 60.00 2.2979E-01 3 70.00 1.4759E-01 2 80.00 9.3926E-02 1 87.50 6.6240E-02 1 92.50 5.1005E-02 2 100.00 3.6543E-02 3 110.00 2.4726E-02 4 120.00 1.7495E-02 5 130.00 1.3137E-02 6 140.00 1.0508E-02 7 150.00 8.9287E-03 8 160.00 8.0069E-03 9 170.00 7.5240E-03 10 180.00 7.3583E-03 Asymptotic AOP values are MUu(inf) = 0.3371 MUd(inf) = 0.7097 MU(inf) = 0.6433 R(inf) = 0.0322 Lu(inf)/Ed(inf) = 0.005114 (1/sr) k(inf) = 0.1704 (1/m) absorp(check) = 0.1096 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 580.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.4339E-01 1.8887E+00 2.0321E+00 5.7782E-02 1.4750E+00 0.4030 0.7810 0.6974 3.9174E-02 1 0.00 0.00 7.4216E-02 1.5993E+00 1.6735E+00 3.1093E-02 1.4483E+00 0.4190 0.9056 0.8468 2.1470E-02 3 8.99 10.00 2.8412E-02 4.4561E-01 4.7403E-01 1.0043E-02 3.3517E-01 0.3535 0.7521 0.6859 2.9963E-02 5 17.97 20.00 6.1486E-03 9.0392E-02 9.6541E-02 2.1095E-03 6.5016E-02 0.3431 0.7193 0.6516 3.2446E-02 K-functions (units of 1/meter) at 580.0 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 0.04041 0.09766 0.09512 0.06243 0.12763 0.12906 0.11330 10.000 10.010 10.005 0.13847 0.15043 0.14971 0.14449 0.15879 0.15923 0.15476 20.000 20.010 20.005 0.16213 0.16527 0.16507 0.16331 0.16731 0.16744 0.16528 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 580.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.85602E-01 3.75330E-03 2.65616E-02 3.03149E-02 2.54455E-03 0.143110 9 1 10.0 0.0 180.0 9.55149E-02 3.78716E-03 7.17340E-03 1.09606E-02 2.56751E-03 0.075102 9 4 10.0 45.0 135.0 1.07263E-01 3.78192E-03 9.52328E-03 1.33052E-02 2.56396E-03 0.088785 9 7 10.0 90.0 90.0 1.54734E-01 3.80228E-03 2.00905E-02 2.38928E-02 2.57776E-03 0.129839 8 1 20.0 0.0 180.0 6.65258E-02 3.82890E-03 2.38539E-03 6.21429E-03 2.59580E-03 0.035857 8 4 20.0 45.0 135.0 7.52454E-02 3.80937E-03 3.21362E-03 7.02299E-03 2.58257E-03 0.042709 8 7 20.0 90.0 90.0 1.15093E-01 3.85344E-03 9.49674E-03 1.33502E-02 2.61244E-03 0.082513 7 1 30.0 0.0 180.0 5.30238E-02 3.90205E-03 1.34956E-03 5.25160E-03 2.64540E-03 0.025452 7 4 30.0 45.0 135.0 5.90430E-02 3.92380E-03 1.60741E-03 5.53121E-03 2.66014E-03 0.027224 7 7 30.0 90.0 90.0 8.63090E-02 3.97068E-03 3.57472E-03 7.54540E-03 2.69193E-03 0.041418 6 1 40.0 0.0 180.0 4.72290E-02 3.98389E-03 1.32921E-03 5.31311E-03 2.70088E-03 0.028144 6 4 40.0 45.0 135.0 5.17652E-02 4.01225E-03 1.46194E-03 5.47420E-03 2.72011E-03 0.028242 6 7 40.0 90.0 90.0 7.06654E-02 4.09554E-03 2.19106E-03 6.28660E-03 2.77657E-03 0.031006 5 1 50.0 0.0 180.0 4.64366E-02 4.09615E-03 1.91113E-03 6.00729E-03 2.77699E-03 0.041156 5 4 50.0 45.0 135.0 5.00402E-02 4.11242E-03 2.03731E-03 6.14973E-03 2.78802E-03 0.040714 5 7 50.0 90.0 90.0 6.44696E-02 4.23147E-03 2.61144E-03 6.84291E-03 2.86873E-03 0.040507 4 1 60.0 0.0 180.0 5.12605E-02 4.10150E-03 4.10989E-03 8.21140E-03 2.78062E-03 0.080177 4 4 60.0 45.0 135.0 5.38722E-02 4.12048E-03 4.20817E-03 8.32865E-03 2.79348E-03 0.078114 4 7 60.0 90.0 90.0 6.56001E-02 4.31727E-03 4.95207E-03 9.26934E-03 2.92690E-03 0.075489 3 1 70.0 0.0 180.0 6.61984E-02 3.87510E-03 1.08459E-02 1.47210E-02 2.62713E-03 0.163839 3 4 70.0 45.0 135.0 6.71253E-02 3.94185E-03 1.08997E-02 1.48416E-02 2.67238E-03 0.162379 3 7 70.0 90.0 90.0 7.60776E-02 4.15293E-03 1.21305E-02 1.62834E-02 2.81548E-03 0.159449 2 1 80.0 0.0 180.0 1.06529E-01 3.37285E-03 2.64298E-02 2.98027E-02 2.28662E-03 0.248100 2 4 80.0 45.0 135.0 1.03718E-01 3.42749E-03 2.67734E-02 3.02009E-02 2.32367E-03 0.258135 2 7 80.0 90.0 90.0 1.07307E-01 3.62549E-03 2.89304E-02 3.25559E-02 2.45790E-03 0.269603 1 1 87.5 0.0 180.0 1.68334E-01 2.75615E-03 4.63664E-02 4.91226E-02 1.86853E-03 0.275443 1 4 87.5 45.0 135.0 1.59488E-01 2.66825E-03 4.82641E-02 5.09323E-02 1.80894E-03 0.302618 1 7 87.5 90.0 90.0 1.53423E-01 3.13170E-03 5.11142E-02 5.42459E-02 2.12314E-03 0.333159 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 580.0 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 3.031E-02 1.856E-01 1.087E-01 1.038E-01 1.285E-01 2.055E-02 1.906E+00 3.753E-03 2.545E-03 1 0.00 0.00 6.959E-03 3.450E-01 1.467E-02 1.769E-02 2.403E-02 4.805E-03 4.468E+00 3 8.99 10.00 1.746E-03 3.287E-01 7.484E-03 1.037E-02 1.595E-02 5.210E-03 5.751E+00 5 17.97 20.00 3.485E-04 4.961E-02 2.031E-03 2.498E-03 3.151E-03 5.360E-03 6.053E+00 Waveband 12 of 20 completed in 5.3 sec. * * * * * Output for wavelength band 13 (590.0 to 610.0 nm; nominal wavelength = 600.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 39.4 m at 600.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 590.0 nm to 610.0 nm: Ed(diffuse) = 3.531E-01 Ed(direct) = 1.070E+00 Ed(total) = 1.423E+00 Absorption Coefficients of Individual Components at 600.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2224 0.0166 0.0000 0.0019 0.2409 3 10.296 10.000 0.2224 0.0166 0.0000 0.0019 0.2409 5 20.592 20.000 0.2224 0.0166 0.0000 0.0019 0.2409 Scattering Coefficients of Individual Components at 600.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0013 0.2757 0.5116 0.0000 0.7887 3 10.296 10.000 0.0013 0.2757 0.5116 0.0000 0.7887 5 20.592 20.000 0.0013 0.2757 0.5116 0.0000 0.7887 Backscattering Coefficients of Individual Components at 600.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00066 0.00387 0.00090 0.00000 0.00542 3 10.296 10.000 0.00066 0.00387 0.00090 0.00000 0.00542 5 20.592 20.000 0.00066 0.00387 0.00090 0.00000 0.00542 Summary of Inherent Optical Properties at 600.0 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 0.2409 0.7887 1.0296 0.7660 0.00542 0.00688 3 10.296 10.000 0.2409 0.7887 1.0296 0.7660 0.00542 0.00688 5 20.592 20.000 0.2409 0.7887 1.0296 0.7660 0.00542 0.00688 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.2521E-01 8 20.00 7.5009E-01 7 30.00 5.3663E-01 6 40.00 3.4435E-01 5 50.00 2.0263E-01 4 60.00 1.1237E-01 3 70.00 6.0559E-02 2 80.00 3.2930E-02 1 87.50 2.1028E-02 1 92.50 1.5328E-02 2 100.00 1.0348E-02 3 110.00 6.6597E-03 4 120.00 4.6338E-03 5 130.00 3.5132E-03 6 140.00 2.8808E-03 7 150.00 2.5197E-03 8 160.00 2.3166E-03 9 170.00 2.2129E-03 10 180.00 2.1775E-03 Asymptotic AOP values are MUu(inf) = 0.3305 MUd(inf) = 0.7754 MU(inf) = 0.7458 R(inf) = 0.0117 Lu(inf)/Ed(inf) = 0.002002 (1/sr) k(inf) = 0.3230 (1/m) absorp(check) = 0.2409 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 600.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.2213E-01 1.8169E+00 1.9391E+00 4.7994E-02 1.4234E+00 0.3930 0.7834 0.7093 3.3719E-02 1 0.00 0.00 2.9649E-02 1.5083E+00 1.5379E+00 1.1962E-02 1.3872E+00 0.4034 0.9198 0.8942 8.6228E-03 3 10.30 10.00 2.6095E-03 8.9653E-02 9.2262E-02 9.2480E-04 7.1575E-02 0.3544 0.7984 0.7658 1.2921E-02 5 20.59 20.00 1.8260E-04 3.9436E-03 4.1262E-03 7.1783E-05 3.0466E-03 0.3931 0.7725 0.7210 2.3562E-02 K-functions (units of 1/meter) at 600.0 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 0.11543 0.23102 0.22879 0.18183 0.26834 0.26910 0.24878 10.000 10.010 10.005 0.27961 0.30638 0.30562 0.27717 0.31174 0.31219 0.27035 20.000 20.010 20.005 0.23839 0.31346 0.31014 0.22280 0.31623 0.31848 0.20028 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 600.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.75758E-01 1.46785E-03 2.56970E-02 2.71648E-02 1.03126E-03 0.146206 9 1 10.0 0.0 180.0 9.04490E-02 1.49150E-03 6.90677E-03 8.39827E-03 1.04788E-03 0.076361 9 4 10.0 45.0 135.0 1.01574E-01 1.48497E-03 9.18234E-03 1.06673E-02 1.04329E-03 0.090401 9 7 10.0 90.0 90.0 1.46527E-01 1.48251E-03 1.94224E-02 2.09049E-02 1.04156E-03 0.132552 8 1 20.0 0.0 180.0 6.29974E-02 1.50822E-03 2.27634E-03 3.78457E-03 1.05963E-03 0.036134 8 4 20.0 45.0 135.0 7.12555E-02 1.49327E-03 3.07468E-03 4.56795E-03 1.04912E-03 0.043150 8 7 20.0 90.0 90.0 1.08983E-01 1.49345E-03 9.15271E-03 1.06462E-02 1.04925E-03 0.083983 7 1 30.0 0.0 180.0 5.02115E-02 1.53409E-03 1.27878E-03 2.81287E-03 1.07780E-03 0.025468 7 4 30.0 45.0 135.0 5.59114E-02 1.53274E-03 1.52500E-03 3.05774E-03 1.07685E-03 0.027275 7 7 30.0 90.0 90.0 8.17313E-02 1.52740E-03 3.41679E-03 4.94419E-03 1.07310E-03 0.041805 6 1 40.0 0.0 180.0 4.47240E-02 1.55770E-03 1.25872E-03 2.81641E-03 1.09439E-03 0.028144 6 4 40.0 45.0 135.0 4.90196E-02 1.55607E-03 1.38445E-03 2.94052E-03 1.09324E-03 0.028243 6 7 40.0 90.0 90.0 6.69175E-02 1.55710E-03 2.07789E-03 3.63499E-03 1.09396E-03 0.031052 5 1 50.0 0.0 180.0 4.39737E-02 1.59310E-03 1.80977E-03 3.40287E-03 1.11926E-03 0.041156 5 4 50.0 45.0 135.0 4.73861E-02 1.58463E-03 1.92926E-03 3.51389E-03 1.11331E-03 0.040714 5 7 50.0 90.0 90.0 6.10503E-02 1.59421E-03 2.47304E-03 4.06725E-03 1.12004E-03 0.040508 4 1 60.0 0.0 180.0 4.85417E-02 1.58740E-03 3.89191E-03 5.47932E-03 1.11526E-03 0.080177 4 4 60.0 45.0 135.0 5.10149E-02 1.57856E-03 3.98498E-03 5.56354E-03 1.10904E-03 0.078114 4 7 60.0 90.0 90.0 6.21207E-02 1.61413E-03 4.68942E-03 6.30355E-03 1.13403E-03 0.075489 3 1 70.0 0.0 180.0 6.26873E-02 1.49470E-03 1.02706E-02 1.17653E-02 1.05013E-03 0.163839 3 4 70.0 45.0 135.0 6.35651E-02 1.50443E-03 1.03216E-02 1.18260E-02 1.05697E-03 0.162379 3 7 70.0 90.0 90.0 7.20426E-02 1.54576E-03 1.14871E-02 1.30329E-02 1.08600E-03 0.159449 2 1 80.0 0.0 180.0 1.00879E-01 1.29899E-03 2.50280E-02 2.63270E-02 9.12624E-04 0.248100 2 4 80.0 45.0 135.0 9.82174E-02 1.30595E-03 2.53534E-02 2.66593E-02 9.17518E-04 0.258135 2 7 80.0 90.0 90.0 1.01616E-01 1.34735E-03 2.73960E-02 2.87433E-02 9.46603E-04 0.269603 1 1 87.5 0.0 180.0 1.59406E-01 1.06283E-03 4.39072E-02 4.49701E-02 7.46708E-04 0.275443 1 4 87.5 45.0 135.0 1.51029E-01 1.01820E-03 4.57042E-02 4.67224E-02 7.15352E-04 0.302618 1 7 87.5 90.0 90.0 1.45285E-01 1.16699E-03 4.84032E-02 4.95702E-02 8.19887E-04 0.333159 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 600.0 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 2.716E-02 1.758E-01 1.022E-01 9.743E-02 1.206E-01 1.909E-02 1.767E+00 1.468E-03 1.031E-03 1 0.00 0.00 2.723E-03 3.267E-01 6.240E-03 7.566E-03 1.071E-02 1.963E-03 4.393E+00 3 10.30 10.00 1.816E-04 8.130E-02 7.548E-04 1.030E-03 1.569E-03 2.537E-03 5.093E+00 5 20.59 20.00 1.685E-05 2.903E-03 5.458E-05 6.282E-05 7.432E-05 5.530E-03 4.260E+00 Waveband 13 of 20 completed in 6.0 sec. * * * * * Output for wavelength band 14 (610.0 to 630.0 nm; nominal wavelength = 620.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 38.5 m at 620.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 610.0 nm to 630.0 nm: Ed(diffuse) = 3.409E-01 Ed(direct) = 1.056E+00 Ed(total) = 1.397E+00 Absorption Coefficients of Individual Components at 620.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2755 0.0182 0.0000 0.0014 0.2951 3 10.836 10.000 0.2755 0.0182 0.0000 0.0014 0.2951 5 21.672 20.000 0.2755 0.0182 0.0000 0.0014 0.2951 Scattering Coefficients of Individual Components at 620.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0011 0.2757 0.5116 0.0000 0.7885 3 10.836 10.000 0.0011 0.2757 0.5116 0.0000 0.7885 5 21.672 20.000 0.0011 0.2757 0.5116 0.0000 0.7885 Backscattering Coefficients of Individual Components at 620.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00057 0.00387 0.00090 0.00000 0.00534 3 10.836 10.000 0.00057 0.00387 0.00090 0.00000 0.00534 5 21.672 20.000 0.00057 0.00387 0.00090 0.00000 0.00534 Summary of Inherent Optical Properties at 620.0 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 0.2951 0.7885 1.0836 0.7277 0.00534 0.00677 3 10.836 10.000 0.2951 0.7885 1.0836 0.7277 0.00534 0.00677 5 21.672 20.000 0.2951 0.7885 1.0836 0.7277 0.00534 0.00677 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.1643E-01 8 20.00 7.2429E-01 7 30.00 4.9824E-01 6 40.00 3.0435E-01 5 50.00 1.6959E-01 4 60.00 8.9054E-02 3 70.00 4.5675E-02 2 80.00 2.3856E-02 1 87.50 1.4897E-02 1 92.50 1.0758E-02 2 100.00 7.1998E-03 3 110.00 4.6117E-03 4 120.00 3.2182E-03 5 130.00 2.4585E-03 6 140.00 2.0344E-03 7 150.00 1.7940E-03 8 160.00 1.6597E-03 9 170.00 1.5914E-03 10 180.00 1.5681E-03 Asymptotic AOP values are MUu(inf) = 0.3315 MUd(inf) = 0.7924 MU(inf) = 0.7690 R(inf) = 0.0089 Lu(inf)/Ed(inf) = 0.001565 (1/sr) k(inf) = 0.3838 (1/m) absorp(check) = 0.2951 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 620.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.1659E-01 1.7787E+00 1.8953E+00 4.5858E-02 1.3972E+00 0.3933 0.7855 0.7130 3.2822E-02 1 0.00 0.00 2.3000E-02 1.4751E+00 1.4981E+00 9.1880E-03 1.3604E+00 0.3995 0.9223 0.9020 6.7538E-03 3 10.84 10.00 1.1481E-03 4.7227E-02 4.8375E-02 4.1651E-04 3.8284E-02 0.3628 0.8106 0.7828 1.0880E-02 5 21.67 20.00 7.4989E-05 1.1628E-03 1.2378E-03 3.2555E-05 9.0564E-04 0.4341 0.7788 0.7054 3.5947E-02 K-functions (units of 1/meter) at 620.0 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 0.15711 0.28842 0.28640 0.23523 0.32633 0.32695 0.30545 10.000 10.010 10.005 0.32275 0.36799 0.36691 0.31334 0.37276 0.37341 0.29498 20.000 20.010 20.005 0.20989 0.36382 0.35449 0.19298 0.36971 0.37630 0.17400 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 620.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.69696E-01 1.12987E-03 2.52801E-02 2.64100E-02 8.08689E-04 0.148973 9 1 10.0 0.0 180.0 8.73292E-02 1.14926E-03 6.76676E-03 7.91602E-03 8.22560E-04 0.077486 9 4 10.0 45.0 135.0 9.80703E-02 1.14367E-03 9.00727E-03 1.01509E-02 8.18564E-04 0.091845 9 7 10.0 90.0 90.0 1.41473E-01 1.14060E-03 1.90954E-02 2.02360E-02 8.16368E-04 0.134976 8 1 20.0 0.0 180.0 6.08245E-02 1.16210E-03 2.21290E-03 3.37500E-03 8.31753E-04 0.036382 8 4 20.0 45.0 135.0 6.87985E-02 1.14970E-03 2.99581E-03 4.14551E-03 8.22880E-04 0.043545 8 7 20.0 90.0 90.0 1.05219E-01 1.14790E-03 8.97477E-03 1.01227E-02 8.21594E-04 0.085296 7 1 30.0 0.0 180.0 4.84796E-02 1.18158E-03 1.23536E-03 2.41693E-03 8.45694E-04 0.025482 7 4 30.0 45.0 135.0 5.39829E-02 1.17935E-03 1.47485E-03 2.65421E-03 8.44104E-04 0.027321 7 7 30.0 90.0 90.0 7.89122E-02 1.17253E-03 3.32627E-03 4.49880E-03 8.39220E-04 0.042151 6 1 40.0 0.0 180.0 4.31814E-02 1.19851E-03 1.21530E-03 2.41381E-03 8.57815E-04 0.028144 6 4 40.0 45.0 135.0 4.73288E-02 1.19578E-03 1.33674E-03 2.53253E-03 8.55861E-04 0.028244 6 7 40.0 90.0 90.0 6.46093E-02 1.19291E-03 2.00884E-03 3.20175E-03 8.53805E-04 0.031092 5 1 50.0 0.0 180.0 4.24570E-02 1.22446E-03 1.74735E-03 2.97181E-03 8.76386E-04 0.041156 5 4 50.0 45.0 135.0 4.57517E-02 1.21622E-03 1.86271E-03 3.07893E-03 8.70487E-04 0.040714 5 7 50.0 90.0 90.0 5.89445E-02 1.21926E-03 2.38782E-03 3.60709E-03 8.72667E-04 0.040510 4 1 60.0 0.0 180.0 4.68674E-02 1.21884E-03 3.75767E-03 4.97651E-03 8.72366E-04 0.080177 4 4 60.0 45.0 135.0 4.92553E-02 1.21013E-03 3.84753E-03 5.05766E-03 8.66130E-04 0.078114 4 7 60.0 90.0 90.0 5.99780E-02 1.23261E-03 4.52767E-03 5.76029E-03 8.82223E-04 0.075489 3 1 70.0 0.0 180.0 6.05251E-02 1.14668E-03 9.91636E-03 1.10630E-02 8.20715E-04 0.163839 3 4 70.0 45.0 135.0 6.13726E-02 1.15224E-03 9.96560E-03 1.11178E-02 8.24693E-04 0.162379 3 7 70.0 90.0 90.0 6.95577E-02 1.17908E-03 1.10909E-02 1.22700E-02 8.43910E-04 0.159449 2 1 80.0 0.0 180.0 9.73992E-02 9.96020E-04 2.41648E-02 2.51608E-02 7.12885E-04 0.248100 2 4 80.0 45.0 135.0 9.48296E-02 9.99676E-04 2.44789E-02 2.54785E-02 7.15501E-04 0.258135 2 7 80.0 90.0 90.0 9.81109E-02 1.02713E-03 2.64510E-02 2.74782E-02 7.35154E-04 0.269603 1 1 87.5 0.0 180.0 1.53907E-01 8.14941E-04 4.23928E-02 4.32077E-02 5.83281E-04 0.275443 1 4 87.5 45.0 135.0 1.45820E-01 7.79440E-04 4.41278E-02 4.49072E-02 5.57872E-04 0.302618 1 7 87.5 90.0 90.0 1.40274E-01 8.89794E-04 4.67336E-02 4.76234E-02 6.36856E-04 0.333159 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 620.0 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 2.641E-02 1.697E-01 9.856E-02 9.395E-02 1.163E-01 1.890E-02 1.736E+00 1.130E-03 8.087E-04 1 0.00 0.00 2.096E-03 3.154E-01 4.921E-03 5.992E-03 8.591E-03 1.541E-03 4.384E+00 3 10.84 10.00 8.712E-05 4.564E-02 3.304E-04 4.446E-04 6.677E-04 2.276E-03 4.781E+00 5 21.67 20.00 8.788E-06 9.128E-04 1.858E-05 2.034E-05 2.278E-05 9.704E-03 3.704E+00 Waveband 14 of 20 completed in 6.3 sec. * * * * * Output for wavelength band 15 (630.0 to 650.0 nm; nominal wavelength = 640.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 37.8 m at 640.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 630.0 nm to 650.0 nm: Ed(diffuse) = 3.252E-01 Ed(direct) = 1.028E+00 Ed(total) = 1.353E+00 Absorption Coefficients of Individual Components at 640.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3180 0.0195 0.0000 0.0011 0.3386 3 11.269 10.000 0.3180 0.0195 0.0000 0.0011 0.3386 5 22.538 20.000 0.3180 0.0195 0.0000 0.0011 0.3386 Scattering Coefficients of Individual Components at 640.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0010 0.2757 0.5116 0.0000 0.7884 3 11.269 10.000 0.0010 0.2757 0.5116 0.0000 0.7884 5 22.538 20.000 0.0010 0.2757 0.5116 0.0000 0.7884 Backscattering Coefficients of Individual Components at 640.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00050 0.00387 0.00090 0.00000 0.00526 3 11.269 10.000 0.00050 0.00387 0.00090 0.00000 0.00526 5 22.538 20.000 0.00050 0.00387 0.00090 0.00000 0.00526 Summary of Inherent Optical Properties at 640.0 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 0.3386 0.7884 1.1269 0.6996 0.00526 0.00668 3 11.269 10.000 0.3386 0.7884 1.1269 0.6996 0.00526 0.00668 5 22.538 20.000 0.3386 0.7884 1.1269 0.6996 0.00526 0.00668 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.0986E-01 8 20.00 7.0545E-01 7 30.00 4.7129E-01 6 40.00 2.7763E-01 5 50.00 1.4871E-01 4 60.00 7.5140E-02 3 70.00 3.7263E-02 2 80.00 1.8962E-02 1 87.50 1.1682E-02 1 92.50 8.3961E-03 2 100.00 5.5963E-03 3 110.00 3.5793E-03 4 120.00 2.5056E-03 5 130.00 1.9248E-03 6 140.00 1.6023E-03 7 150.00 1.4204E-03 8 160.00 1.3190E-03 9 170.00 1.2677E-03 10 180.00 1.2501E-03 Asymptotic AOP values are MUu(inf) = 0.3326 MUd(inf) = 0.8037 MU(inf) = 0.7838 R(inf) = 0.0074 Lu(inf)/Ed(inf) = 0.001323 (1/sr) k(inf) = 0.4320 (1/m) absorp(check) = 0.3386 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 640.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.1071E-01 1.7181E+00 1.8288E+00 4.3664E-02 1.3528E+00 0.3944 0.7874 0.7158 3.2277E-02 1 0.00 0.00 1.8961E-02 1.4251E+00 1.4441E+00 7.5231E-03 1.3166E+00 0.3968 0.9238 0.9065 5.7142E-03 3 11.27 10.00 6.1877E-04 2.7936E-02 2.8555E-02 2.3064E-04 2.2874E-02 0.3727 0.8188 0.7930 1.0083E-02 5 22.54 20.00 4.5773E-05 4.4908E-04 4.9485E-04 2.1046E-05 3.4732E-04 0.4598 0.7734 0.6593 6.0595E-02 K-functions (units of 1/meter) at 640.0 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 0.19322 0.33473 0.33287 0.27892 0.37278 0.37332 0.35102 10.000 10.010 10.005 0.34653 0.41653 0.41501 0.32970 0.42104 0.42197 0.30073 20.000 20.010 20.005 0.17968 0.39186 0.37222 0.16789 0.40375 0.41898 0.15633 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 640.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.61862E-01 9.25468E-04 2.45252E-02 2.54506E-02 6.84125E-04 0.151519 9 1 10.0 0.0 180.0 8.32979E-02 9.41820E-04 6.54059E-03 7.48241E-03 6.96212E-04 0.078520 9 4 10.0 45.0 135.0 9.35431E-02 9.37005E-04 8.71577E-03 9.65278E-03 6.92653E-04 0.093174 9 7 10.0 90.0 90.0 1.34942E-01 9.34014E-04 1.85149E-02 1.94489E-02 6.90442E-04 0.137206 8 1 20.0 0.0 180.0 5.80167E-02 9.52313E-04 2.12398E-03 3.07629E-03 7.03969E-04 0.036610 8 4 20.0 45.0 135.0 6.56234E-02 9.41775E-04 2.88137E-03 3.82314E-03 6.96179E-04 0.043908 8 7 20.0 90.0 90.0 1.00358E-01 9.39516E-04 8.68137E-03 9.62089E-03 6.94509E-04 0.086504 7 1 30.0 0.0 180.0 4.62417E-02 9.68062E-04 1.17893E-03 2.14699E-03 7.15611E-04 0.025495 7 4 30.0 45.0 135.0 5.14910E-02 9.65743E-04 1.40893E-03 2.37467E-03 7.13897E-04 0.027363 7 7 30.0 90.0 90.0 7.52694E-02 9.59050E-04 3.19670E-03 4.15575E-03 7.08949E-04 0.042470 6 1 40.0 0.0 180.0 4.11880E-02 9.81374E-04 1.15920E-03 2.14057E-03 7.25451E-04 0.028144 6 4 40.0 45.0 135.0 4.51440E-02 9.78533E-04 1.27507E-03 2.25361E-03 7.23351E-04 0.028245 6 7 40.0 90.0 90.0 6.16268E-02 9.74684E-04 1.91840E-03 2.89309E-03 7.20506E-04 0.031129 5 1 50.0 0.0 180.0 4.04971E-02 1.00205E-03 1.66669E-03 2.66874E-03 7.40735E-04 0.041156 5 4 50.0 45.0 135.0 4.36397E-02 9.94593E-04 1.77673E-03 2.77132E-03 7.35223E-04 0.040714 5 7 50.0 90.0 90.0 5.62235E-02 9.95330E-04 2.27767E-03 3.27300E-03 7.35768E-04 0.040511 4 1 60.0 0.0 180.0 4.47039E-02 9.96906E-04 3.58421E-03 4.58112E-03 7.36933E-04 0.080177 4 4 60.0 45.0 135.0 4.69815E-02 9.88994E-04 3.66992E-03 4.65891E-03 7.31084E-04 0.078114 4 7 60.0 90.0 90.0 5.72093E-02 1.00543E-03 4.31867E-03 5.32410E-03 7.43234E-04 0.075489 3 1 70.0 0.0 180.0 5.77311E-02 9.37450E-04 9.45860E-03 1.03960E-02 6.92982E-04 0.163839 3 4 70.0 45.0 135.0 5.85395E-02 9.41220E-04 9.50556E-03 1.04468E-02 6.95769E-04 0.162379 3 7 70.0 90.0 90.0 6.63467E-02 9.61203E-04 1.05789E-02 1.15401E-02 7.10541E-04 0.159449 2 1 80.0 0.0 180.0 9.29030E-02 8.14066E-04 2.30493E-02 2.38633E-02 6.01774E-04 0.248100 2 4 80.0 45.0 135.0 9.04521E-02 8.16377E-04 2.33489E-02 2.41652E-02 6.03482E-04 0.258135 2 7 80.0 90.0 90.0 9.35819E-02 8.37085E-04 2.52300E-02 2.60671E-02 6.18790E-04 0.269603 1 1 87.5 0.0 180.0 1.46803E-01 6.66085E-04 4.04358E-02 4.11019E-02 4.92383E-04 0.275443 1 4 87.5 45.0 135.0 1.39088E-01 6.36560E-04 4.20907E-02 4.27273E-02 4.70558E-04 0.302618 1 7 87.5 90.0 90.0 1.33799E-01 7.25250E-04 4.45763E-02 4.53016E-02 5.36119E-04 0.333159 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 640.0 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 2.545E-02 1.619E-01 9.395E-02 8.955E-02 1.109E-01 1.881E-02 1.716E+00 9.255E-04 6.841E-04 1 0.00 0.00 1.717E-03 3.009E-01 4.101E-03 5.014E-03 7.252E-03 1.304E-03 4.382E+00 3 11.27 10.00 5.111E-05 2.826E-02 1.746E-04 2.315E-04 3.423E-04 2.235E-03 4.512E+00 5 22.54 20.00 6.090E-06 3.585E-04 9.789E-06 1.031E-05 1.102E-05 1.753E-02 3.456E+00 Waveband 15 of 20 completed in 6.3 sec. * * * * * Output for wavelength band 16 (650.0 to 670.0 nm; nominal wavelength = 660.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 36.3 m at 660.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 650.0 nm to 670.0 nm: Ed(diffuse) = 3.076E-01 Ed(direct) = 9.898E-01 Ed(total) = 1.297E+00 Absorption Coefficients of Individual Components at 660.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.4100 0.0264 0.0000 0.0008 0.4372 3 12.254 10.000 0.4100 0.0264 0.0000 0.0008 0.4372 5 24.509 20.000 0.4100 0.0264 0.0000 0.0008 0.4372 Scattering Coefficients of Individual Components at 660.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0009 0.2757 0.5116 0.0000 0.7882 3 12.254 10.000 0.0009 0.2757 0.5116 0.0000 0.7882 5 24.509 20.000 0.0009 0.2757 0.5116 0.0000 0.7882 Backscattering Coefficients of Individual Components at 660.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00044 0.00387 0.00090 0.00000 0.00520 3 12.254 10.000 0.00044 0.00387 0.00090 0.00000 0.00520 5 24.509 20.000 0.00044 0.00387 0.00090 0.00000 0.00520 Summary of Inherent Optical Properties at 660.0 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 0.4372 0.7882 1.2254 0.6432 0.00520 0.00660 3 12.254 10.000 0.4372 0.7882 1.2254 0.6432 0.00520 0.00660 5 24.509 20.000 0.4372 0.7882 1.2254 0.6432 0.00520 0.00660 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.9612E-01 8 20.00 6.6735E-01 7 30.00 4.1951E-01 6 40.00 2.2948E-01 5 50.00 1.1364E-01 4 60.00 5.3340E-02 3 70.00 2.4895E-02 2 80.00 1.2137E-02 1 87.50 7.3342E-03 1 92.50 5.2496E-03 2 100.00 3.4927E-03 3 110.00 2.2416E-03 4 120.00 1.5860E-03 5 130.00 1.2352E-03 6 140.00 1.0420E-03 7 150.00 9.3363E-04 8 160.00 8.7358E-04 9 170.00 8.4327E-04 10 180.00 8.3290E-04 Asymptotic AOP values are MUu(inf) = 0.3368 MUd(inf) = 0.8240 MU(inf) = 0.8092 R(inf) = 0.0053 Lu(inf)/Ed(inf) = 0.000987 (1/sr) k(inf) = 0.5403 (1/m) absorp(check) = 0.4372 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 660.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.0410E-01 1.6442E+00 1.7483E+00 4.1148E-02 1.2974E+00 0.3953 0.7891 0.7186 3.1715E-02 1 0.00 0.00 1.4411E-02 1.3633E+00 1.3777E+00 5.7232E-03 1.2619E+00 0.3972 0.9256 0.9118 4.5354E-03 3 12.25 10.00 3.9465E-04 9.1383E-03 9.5329E-03 1.7497E-04 7.5281E-03 0.4434 0.8238 0.7713 2.3243E-02 5 24.51 20.00 7.4380E-05 1.4084E-04 2.1522E-04 3.5779E-05 8.6936E-05 0.4810 0.6173 0.2377 4.1156E-01 K-functions (units of 1/meter) at 660.0 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 0.28087 0.44077 0.43909 0.36829 0.47834 0.47885 0.43204 10.000 10.010 10.005 0.24481 0.51211 0.50103 0.22109 0.52107 0.52822 0.19600 20.000 20.010 20.005 0.14103 0.25219 0.21376 0.14038 0.29281 0.39955 0.13982 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 660.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.53118E-01 7.19163E-04 2.35632E-02 2.42824E-02 5.54307E-04 0.153890 9 1 10.0 0.0 180.0 7.87977E-02 7.32040E-04 6.26319E-03 6.99523E-03 5.64232E-04 0.079484 9 4 10.0 45.0 135.0 8.84895E-02 7.28105E-04 8.35443E-03 9.08254E-03 5.61199E-04 0.094412 9 7 10.0 90.0 90.0 1.27652E-01 7.25336E-04 1.77798E-02 1.85051E-02 5.59065E-04 0.139284 8 1 20.0 0.0 180.0 5.48823E-02 7.39661E-04 2.02088E-03 2.76054E-03 5.70106E-04 0.036822 8 4 20.0 45.0 135.0 6.20787E-02 7.31167E-04 2.74672E-03 3.47789E-03 5.63559E-04 0.044246 8 7 20.0 90.0 90.0 9.49319E-02 7.28608E-04 8.31889E-03 9.04750E-03 5.61587E-04 0.087630 7 1 30.0 0.0 180.0 4.37435E-02 7.51033E-04 1.11577E-03 1.86681E-03 5.78871E-04 0.025507 7 4 30.0 45.0 135.0 4.87092E-02 7.48804E-04 1.33471E-03 2.08351E-03 5.77153E-04 0.027402 7 7 30.0 90.0 90.0 7.12030E-02 7.42374E-04 3.04513E-03 3.78750E-03 5.72197E-04 0.042767 6 1 40.0 0.0 180.0 3.89629E-02 7.59685E-04 1.09657E-03 1.85626E-03 5.85540E-04 0.028144 6 4 40.0 45.0 135.0 4.27051E-02 7.56881E-04 1.20622E-03 1.96310E-03 5.83379E-04 0.028245 6 7 40.0 90.0 90.0 5.82974E-02 7.51942E-04 1.81679E-03 2.56873E-03 5.79572E-04 0.031164 5 1 50.0 0.0 180.0 3.83092E-02 7.73848E-04 1.57664E-03 2.35049E-03 5.96456E-04 0.041156 5 4 50.0 45.0 135.0 4.12820E-02 7.67260E-04 1.68074E-03 2.44800E-03 5.91378E-04 0.040714 5 7 50.0 90.0 90.0 5.31860E-02 7.65113E-04 2.15469E-03 2.91980E-03 5.89723E-04 0.040512 4 1 60.0 0.0 180.0 4.22888E-02 7.67943E-04 3.39057E-03 4.15852E-03 5.91905E-04 0.080177 4 4 60.0 45.0 135.0 4.44434E-02 7.60804E-04 3.47165E-03 4.23245E-03 5.86402E-04 0.078114 4 7 60.0 90.0 90.0 5.41186E-02 7.69995E-04 4.08535E-03 4.85535E-03 5.93486E-04 0.075489 3 1 70.0 0.0 180.0 5.46122E-02 7.20030E-04 8.94760E-03 9.66763E-03 5.54975E-04 0.163839 3 4 70.0 45.0 135.0 5.53769E-02 7.21712E-04 8.99203E-03 9.71374E-03 5.56271E-04 0.162379 3 7 70.0 90.0 90.0 6.27624E-02 7.32936E-04 1.00074E-02 1.07403E-02 5.64923E-04 0.159449 2 1 80.0 0.0 180.0 8.78840E-02 6.23613E-04 2.18040E-02 2.24276E-02 4.80660E-04 0.248100 2 4 80.0 45.0 135.0 8.55654E-02 6.24140E-04 2.20874E-02 2.27116E-02 4.81066E-04 0.258135 2 7 80.0 90.0 90.0 8.85262E-02 6.35882E-04 2.38669E-02 2.45028E-02 4.90116E-04 0.269603 1 1 87.5 0.0 180.0 1.38872E-01 5.09010E-04 3.82513E-02 3.87603E-02 3.92328E-04 0.275443 1 4 87.5 45.0 135.0 1.31574E-01 4.85386E-04 3.98168E-02 4.03022E-02 3.74119E-04 0.302618 1 7 87.5 90.0 90.0 1.26570E-01 5.49013E-04 4.21681E-02 4.27171E-02 4.23161E-04 0.333159 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 660.0 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 2.428E-02 1.531E-01 8.882E-02 8.464E-02 1.048E-01 1.872E-02 1.695E+00 7.192E-04 5.543E-04 1 0.00 0.00 1.334E-03 2.846E-01 3.178E-03 3.870E-03 5.588E-03 1.057E-03 4.289E+00 3 12.25 10.00 4.839E-05 9.844E-03 8.600E-05 9.883E-05 1.235E-04 6.428E-03 3.616E+00 5 24.51 20.00 1.068E-05 6.073E-05 1.348E-05 1.351E-05 1.356E-05 1.228E-01 3.352E+00 Waveband 16 of 20 completed in 6.8 sec. * * * * * Output for wavelength band 17 (670.0 to 690.0 nm; nominal wavelength = 680.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 35.5 m at 680.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 670.0 nm to 690.0 nm: Ed(diffuse) = 2.915E-01 Ed(direct) = 9.532E-01 Ed(total) = 1.245E+00 Absorption Coefficients of Individual Components at 680.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.4650 0.0367 0.0000 0.0006 0.5023 3 12.904 10.000 0.4650 0.0367 0.0000 0.0006 0.5023 5 25.809 20.000 0.4650 0.0367 0.0000 0.0006 0.5023 Scattering Coefficients of Individual Components at 680.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0008 0.2757 0.5116 0.0000 0.7881 3 12.904 10.000 0.0008 0.2757 0.5116 0.0000 0.7881 5 25.809 20.000 0.0008 0.2757 0.5116 0.0000 0.7881 Backscattering Coefficients of Individual Components at 680.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00038 0.00387 0.00090 0.00000 0.00515 3 12.904 10.000 0.00038 0.00387 0.00090 0.00000 0.00515 5 25.809 20.000 0.00038 0.00387 0.00090 0.00000 0.00515 Summary of Inherent Optical Properties at 680.0 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 0.5023 0.7881 1.2904 0.6107 0.00515 0.00653 3 12.904 10.000 0.5023 0.7881 1.2904 0.6107 0.00515 0.00653 5 25.809 20.000 0.5023 0.7881 1.2904 0.6107 0.00515 0.00653 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.8774E-01 8 20.00 6.4496E-01 7 30.00 3.9077E-01 6 40.00 2.0456E-01 5 50.00 9.6807E-02 4 60.00 4.3626E-02 3 70.00 1.9732E-02 2 80.00 9.4290E-03 1 87.50 5.6534E-03 1 92.50 4.0450E-03 2 100.00 2.6932E-03 3 110.00 1.7338E-03 4 120.00 1.2342E-03 5 130.00 9.6795E-04 6 140.00 8.2179E-04 7 150.00 7.4005E-04 8 160.00 6.9482E-04 9 170.00 6.7205E-04 10 180.00 6.6425E-04 Asymptotic AOP values are MUu(inf) = 0.3393 MUd(inf) = 0.8346 MU(inf) = 0.8220 R(inf) = 0.0044 Lu(inf)/Ed(inf) = 0.000839 (1/sr) k(inf) = 0.6111 (1/m) absorp(check) = 0.5023 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 680.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.0117E-01 1.5745E+00 1.6757E+00 4.0476E-02 1.2448E+00 0.4001 0.7906 0.7187 3.2517E-02 1 0.00 0.00 1.8131E-02 1.3110E+00 1.3291E+00 7.6812E-03 1.2119E+00 0.4236 0.9244 0.9060 6.3381E-03 3 12.90 10.00 1.8520E-03 6.3846E-03 8.2366E-03 8.8490E-04 4.6457E-03 0.4778 0.7276 0.4566 1.9048E-01 5 25.81 20.00 4.4911E-04 5.9466E-04 1.0438E-03 2.1600E-04 3.1464E-04 0.4809 0.5291 0.0945 6.8649E-01 K-functions (units of 1/meter) at 680.0 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 0.30022 0.51028 0.50741 0.33477 0.54633 0.54768 0.35045 10.000 10.010 10.005 0.15355 0.42601 0.36468 0.15095 0.47759 0.55461 0.14813 20.000 20.010 20.005 0.14191 0.14415 0.14318 0.14203 0.14857 0.16287 0.14211 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 680.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.45129E-01 1.06145E-03 2.26424E-02 2.37038E-02 8.52723E-04 0.156015 9 1 10.0 0.0 180.0 7.46868E-02 1.07606E-03 6.00095E-03 7.07702E-03 8.64465E-04 0.080348 9 4 10.0 45.0 135.0 8.38729E-02 1.07151E-03 8.01163E-03 9.08314E-03 8.60809E-04 0.095521 9 7 10.0 90.0 90.0 1.20992E-01 1.06955E-03 1.70775E-02 1.81471E-02 8.59230E-04 0.141146 8 1 20.0 0.0 180.0 5.20191E-02 1.08321E-03 1.92535E-03 3.00857E-03 8.70210E-04 0.037012 8 4 20.0 45.0 135.0 5.88405E-02 1.07271E-03 2.62128E-03 3.69399E-03 8.61774E-04 0.044549 8 7 20.0 90.0 90.0 8.99760E-02 1.07197E-03 7.97539E-03 9.04735E-03 8.61174E-04 0.088639 7 1 30.0 0.0 180.0 4.14613E-02 1.09537E-03 1.05801E-03 2.15338E-03 8.79975E-04 0.025518 7 4 30.0 45.0 135.0 4.61679E-02 1.09454E-03 1.26669E-03 2.36123E-03 8.79311E-04 0.027436 7 7 30.0 90.0 90.0 6.74883E-02 1.08857E-03 2.90421E-03 3.99278E-03 8.74510E-04 0.043033 6 1 40.0 0.0 180.0 3.69301E-02 1.10115E-03 1.03936E-03 2.14051E-03 8.84616E-04 0.028144 6 4 40.0 45.0 135.0 4.04771E-02 1.09951E-03 1.14332E-03 2.24283E-03 8.83303E-04 0.028246 6 7 40.0 90.0 90.0 5.52560E-02 1.09492E-03 1.72373E-03 2.81864E-03 8.79612E-04 0.031195 5 1 50.0 0.0 180.0 3.63106E-02 1.11412E-03 1.49439E-03 2.60850E-03 8.95035E-04 0.041156 5 4 50.0 45.0 135.0 3.91283E-02 1.10664E-03 1.59305E-03 2.69969E-03 8.89026E-04 0.040714 5 7 50.0 90.0 90.0 5.04112E-02 1.10361E-03 2.04234E-03 3.14594E-03 8.86594E-04 0.040514 4 1 60.0 0.0 180.0 4.00825E-02 1.09734E-03 3.21368E-03 4.31103E-03 8.81562E-04 0.080177 4 4 60.0 45.0 135.0 4.21247E-02 1.08849E-03 3.29053E-03 4.37902E-03 8.74447E-04 0.078114 4 7 60.0 90.0 90.0 5.12952E-02 1.09861E-03 3.87221E-03 4.97082E-03 8.82575E-04 0.075489 3 1 70.0 0.0 180.0 5.17630E-02 1.01871E-03 8.48079E-03 9.49950E-03 8.18391E-04 0.163839 3 4 70.0 45.0 135.0 5.24878E-02 1.02118E-03 8.52290E-03 9.54408E-03 8.20374E-04 0.162379 3 7 70.0 90.0 90.0 5.94880E-02 1.02974E-03 9.48531E-03 1.05150E-02 8.27248E-04 0.159449 2 1 80.0 0.0 180.0 8.32990E-02 8.73422E-04 2.06665E-02 2.15399E-02 7.01672E-04 0.248100 2 4 80.0 45.0 135.0 8.11014E-02 8.73060E-04 2.09351E-02 2.18082E-02 7.01380E-04 0.258135 2 7 80.0 90.0 90.0 8.39077E-02 8.79829E-04 2.26218E-02 2.35016E-02 7.06819E-04 0.269603 1 1 87.5 0.0 180.0 1.31627E-01 7.04817E-04 3.62557E-02 3.69605E-02 5.66221E-04 0.275443 1 4 87.5 45.0 135.0 1.24710E-01 6.70484E-04 3.77395E-02 3.84100E-02 5.38640E-04 0.302618 1 7 87.5 90.0 90.0 1.19967E-01 7.46628E-04 3.99681E-02 4.07148E-02 5.99811E-04 0.333159 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 680.0 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 2.370E-02 1.451E-01 8.429E-02 8.034E-02 9.944E-02 1.904E-02 1.708E+00 1.061E-03 8.527E-04 1 0.00 0.00 1.970E-03 2.698E-01 3.922E-03 4.520E-03 5.970E-03 1.625E-03 3.900E+00 3 12.90 10.00 2.600E-04 5.212E-03 3.380E-04 3.430E-04 3.523E-04 5.597E-02 3.403E+00 5 25.81 20.00 6.380E-05 1.184E-04 8.062E-05 8.062E-05 8.063E-05 2.028E-01 3.385E+00 Waveband 17 of 20 completed in 6.8 sec. * * * * * Output for wavelength band 18 (690.0 to 710.0 nm; nominal wavelength = 700.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 34.1 m at 700.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 690.0 nm to 710.0 nm: Ed(diffuse) = 2.677E-01 Ed(direct) = 8.885E-01 Ed(total) = 1.156E+00 Absorption Coefficients of Individual Components at 700.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.6240 0.0091 0.0000 0.0005 0.6335 3 14.216 10.000 0.6240 0.0091 0.0000 0.0005 0.6335 5 28.431 20.000 0.6240 0.0091 0.0000 0.0005 0.6335 Scattering Coefficients of Individual Components at 700.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0007 0.2757 0.5116 0.0000 0.7880 3 14.216 10.000 0.0007 0.2757 0.5116 0.0000 0.7880 5 28.431 20.000 0.0007 0.2757 0.5116 0.0000 0.7880 Backscattering Coefficients of Individual Components at 700.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00034 0.00387 0.00090 0.00000 0.00510 3 14.216 10.000 0.00034 0.00387 0.00090 0.00000 0.00510 5 28.431 20.000 0.00034 0.00387 0.00090 0.00000 0.00510 Summary of Inherent Optical Properties at 700.0 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 0.6335 0.7880 1.4216 0.5543 0.00510 0.00648 3 14.216 10.000 0.6335 0.7880 1.4216 0.5543 0.00510 0.00648 5 28.431 20.000 0.6335 0.7880 1.4216 0.5543 0.00510 0.00648 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.7213E-01 8 20.00 6.0484E-01 7 30.00 3.4232E-01 6 40.00 1.6550E-01 5 50.00 7.2358E-02 4 60.00 3.0477E-02 3 70.00 1.3143E-02 2 80.00 6.1172E-03 1 87.50 3.6404E-03 1 92.50 2.6119E-03 2 100.00 1.7471E-03 3 110.00 1.1342E-03 4 120.00 8.1737E-04 5 130.00 6.4943E-04 6 140.00 5.5760E-04 7 150.00 5.0641E-04 8 160.00 4.7819E-04 9 170.00 4.6402E-04 10 180.00 4.5916E-04 Asymptotic AOP values are MUu(inf) = 0.3444 MUd(inf) = 0.8515 MU(inf) = 0.8419 R(inf) = 0.0033 Lu(inf)/Ed(inf) = 0.000648 (1/sr) k(inf) = 0.7526 (1/m) absorp(check) = 0.6336 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 700.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 9.0117E-02 1.4598E+00 1.5499E+00 3.5803E-02 1.1561E+00 0.3973 0.7920 0.7229 3.0968E-02 1 0.00 0.00 8.8778E-03 1.2112E+00 1.2200E+00 3.5146E-03 1.1238E+00 0.3959 0.9279 0.9182 3.1275E-03 3 14.22 10.00 2.2546E-04 1.1565E-03 1.3820E-03 1.0876E-04 9.0255E-04 0.4824 0.7804 0.5744 1.2050E-01 5 28.43 20.00 5.4287E-05 6.7636E-05 1.2192E-04 2.6399E-05 3.5394E-05 0.4863 0.5233 0.0738 7.4587E-01 K-functions (units of 1/meter) at 700.0 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 0.46469 0.65273 0.65136 0.55036 0.68853 0.68897 0.60182 10.000 10.010 10.005 0.16133 0.60009 0.52838 0.15651 0.65009 0.71791 0.15202 20.000 20.010 20.005 0.14213 0.14116 0.14159 0.14225 0.14409 0.14949 0.14245 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 700.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.33237E-01 4.49093E-04 2.10609E-02 2.15100E-02 3.88442E-04 0.158071 9 1 10.0 0.0 180.0 6.85667E-02 4.57251E-04 5.56653E-03 6.02378E-03 3.95498E-04 0.081184 9 4 10.0 45.0 135.0 7.70001E-02 4.54662E-04 7.43778E-03 7.89244E-03 3.93259E-04 0.096594 9 7 10.0 90.0 90.0 1.11078E-01 4.52688E-04 1.58782E-02 1.63309E-02 3.91551E-04 0.142947 8 1 20.0 0.0 180.0 4.77565E-02 4.61729E-04 1.77638E-03 2.23811E-03 3.99371E-04 0.037197 8 4 20.0 45.0 135.0 5.40194E-02 4.56223E-04 2.42234E-03 2.87857E-03 3.94609E-04 0.044842 8 7 20.0 90.0 90.0 8.26002E-02 4.54189E-04 7.40224E-03 7.85643E-03 3.92849E-04 0.089615 7 1 30.0 0.0 180.0 3.80639E-02 4.68361E-04 9.71718E-04 1.44008E-03 4.05108E-04 0.025529 7 4 30.0 45.0 135.0 4.23848E-02 4.66704E-04 1.16432E-03 1.63103E-03 4.03674E-04 0.027470 7 7 30.0 90.0 90.0 6.19581E-02 4.62025E-04 2.68218E-03 3.14420E-03 3.99627E-04 0.043290 6 1 40.0 0.0 180.0 3.39040E-02 4.72830E-04 9.54196E-04 1.42703E-03 4.08973E-04 0.028144 6 4 40.0 45.0 135.0 3.71603E-02 4.70746E-04 1.04966E-03 1.52040E-03 4.07170E-04 0.028247 6 7 40.0 90.0 90.0 5.07282E-02 4.66621E-04 1.58401E-03 2.05063E-03 4.03603E-04 0.031225 5 1 50.0 0.0 180.0 3.33352E-02 4.80643E-04 1.37193E-03 1.85258E-03 4.15731E-04 0.041156 5 4 50.0 45.0 135.0 3.59220E-02 4.76096E-04 1.46251E-03 1.93861E-03 4.11798E-04 0.040714 5 7 50.0 90.0 90.0 4.62804E-02 4.73343E-04 1.87503E-03 2.34838E-03 4.09417E-04 0.040515 4 1 60.0 0.0 180.0 3.67980E-02 4.75926E-04 2.95034E-03 3.42627E-03 4.11650E-04 0.080177 4 4 60.0 45.0 135.0 3.86729E-02 4.70938E-04 3.02089E-03 3.49183E-03 4.07336E-04 0.078114 4 7 60.0 90.0 90.0 4.70919E-02 4.74849E-04 3.55491E-03 4.02976E-03 4.10719E-04 0.075489 3 1 70.0 0.0 180.0 4.75214E-02 4.45091E-04 7.78585E-03 8.23094E-03 3.84980E-04 0.163839 3 4 70.0 45.0 135.0 4.81868E-02 4.45492E-04 7.82451E-03 8.27000E-03 3.85327E-04 0.162379 3 7 70.0 90.0 90.0 5.46134E-02 4.50323E-04 8.70805E-03 9.15837E-03 3.89506E-04 0.159449 2 1 80.0 0.0 180.0 7.64732E-02 3.84604E-04 1.89730E-02 1.93576E-02 3.32662E-04 0.248100 2 4 80.0 45.0 135.0 7.44557E-02 3.84286E-04 1.92196E-02 1.96039E-02 3.32387E-04 0.258135 2 7 80.0 90.0 90.0 7.70320E-02 3.89422E-04 2.07681E-02 2.11575E-02 3.36829E-04 0.269603 1 1 87.5 0.0 180.0 1.20841E-01 3.13268E-04 3.32848E-02 3.35980E-02 2.70960E-04 0.275443 1 4 87.5 45.0 135.0 1.14491E-01 2.98185E-04 3.46470E-02 3.49452E-02 2.57914E-04 0.302618 1 7 87.5 90.0 90.0 1.10137E-01 3.35213E-04 3.66930E-02 3.70282E-02 2.89941E-04 0.333159 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 700.0 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 2.151E-02 1.332E-01 7.722E-02 7.358E-02 9.112E-02 1.861E-02 1.664E+00 4.491E-04 3.884E-04 1 0.00 0.00 8.333E-04 2.477E-01 2.019E-03 2.462E-03 3.570E-03 7.415E-04 4.218E+00 3 14.22 10.00 3.278E-05 1.199E-03 4.024E-05 4.101E-05 4.245E-05 3.632E-02 3.318E+00 5 28.43 20.00 7.996E-06 1.281E-05 9.460E-06 9.460E-06 9.460E-06 2.259E-01 3.302E+00 Waveband 18 of 20 completed in 7.3 sec. * * * * * Output for wavelength band 19 (710.0 to 730.0 nm; nominal wavelength = 720.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 29.9 m at 720.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 710.0 nm to 730.0 nm: Ed(diffuse) = 2.341E-01 Ed(direct) = 7.875E-01 Ed(total) = 1.022E+00 Absorption Coefficients of Individual Components at 720.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 1.2310 0.0000 0.0000 0.0004 1.2314 3 20.193 10.000 1.2310 0.0000 0.0000 0.0004 1.2314 5 40.386 20.000 1.2310 0.0000 0.0000 0.0004 1.2314 Scattering Coefficients of Individual Components at 720.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0006 0.2757 0.5116 0.0000 0.7880 3 20.193 10.000 0.0006 0.2757 0.5116 0.0000 0.7880 5 40.386 20.000 0.0006 0.2757 0.5116 0.0000 0.7880 Backscattering Coefficients of Individual Components at 720.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00030 0.00387 0.00090 0.00000 0.00507 3 20.193 10.000 0.00030 0.00387 0.00090 0.00000 0.00507 5 40.386 20.000 0.00030 0.00387 0.00090 0.00000 0.00507 Summary of Inherent Optical Properties at 720.0 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 1.2314 0.7880 2.0193 0.3902 0.00507 0.00643 3 20.193 10.000 1.2314 0.7880 2.0193 0.3902 0.00507 0.00643 5 40.386 20.000 1.2314 0.7880 2.0193 0.3902 0.00507 0.00643 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.1372E-01 8 20.00 4.7273E-01 7 30.00 2.0919E-01 6 40.00 7.7506E-02 5 50.00 2.6720E-02 4 60.00 9.5008E-03 3 70.00 3.7584E-03 2 80.00 1.7105E-03 1 87.50 1.0262E-03 1 92.50 7.5150E-04 2 100.00 5.1434E-04 3 110.00 3.4449E-04 4 120.00 2.5777E-04 5 130.00 2.1220E-04 6 140.00 1.8744E-04 7 150.00 1.7373E-04 8 160.00 1.6625E-04 9 170.00 1.6255E-04 10 180.00 1.6127E-04 Asymptotic AOP values are MUu(inf) = 0.3607 MUd(inf) = 0.8932 MU(inf) = 0.8886 R(inf) = 0.0015 Lu(inf)/Ed(inf) = 0.000321 (1/sr) k(inf) = 1.3859 (1/m) absorp(check) = 1.2315 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 720.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 7.7724E-02 1.2878E+00 1.3656E+00 3.0834E-02 1.0216E+00 0.3967 0.7933 0.7255 3.0182E-02 1 0.00 0.00 3.6160E-03 1.0666E+00 1.0703E+00 1.3884E-03 9.9208E-01 0.3839 0.9301 0.9257 1.3994E-03 3 20.19 10.00 1.5622E-05 1.9306E-05 3.4928E-05 7.8998E-06 1.0678E-05 0.5057 0.5531 0.0795 7.3981E-01 5 40.39 20.00 3.2711E-06 3.7229E-06 6.9940E-06 1.6440E-06 1.9487E-06 0.5026 0.5234 0.0436 8.4367E-01 K-functions (units of 1/meter) at 720.0 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 1.15058 1.30178 1.30127 1.23358 1.33015 1.33029 1.28472 10.000 10.010 10.005 0.18815 3.12435 1.80042 0.17066 3.97171 15.64276 0.16471 20.000 20.010 20.005 0.16144 0.15554 0.15830 0.16177 0.15595 0.12455 0.16266 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 720.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.16531E-01 1.75002E-04 1.86335E-02 1.88085E-02 1.71304E-04 0.159902 9 1 10.0 0.0 180.0 5.99692E-02 1.78654E-04 4.91319E-03 5.09185E-03 1.74879E-04 0.081929 9 4 10.0 45.0 135.0 6.73452E-02 1.77443E-04 6.56954E-03 6.74699E-03 1.73694E-04 0.097550 9 7 10.0 90.0 90.0 9.71498E-02 1.76327E-04 1.40432E-02 1.42195E-02 1.72601E-04 0.144552 8 1 20.0 0.0 180.0 4.17684E-02 1.80581E-04 1.56049E-03 1.74107E-03 1.76765E-04 0.037361 8 4 20.0 45.0 135.0 4.72464E-02 1.78117E-04 2.13096E-03 2.30908E-03 1.74354E-04 0.045103 8 7 20.0 90.0 90.0 7.22408E-02 1.76765E-04 6.53670E-03 6.71346E-03 1.73029E-04 0.090485 7 1 30.0 0.0 180.0 3.32911E-02 1.83267E-04 8.50188E-04 1.03345E-03 1.79394E-04 0.025538 7 4 30.0 45.0 135.0 3.70703E-02 1.82224E-04 1.01944E-03 1.20167E-03 1.78373E-04 0.027500 7 7 30.0 90.0 90.0 5.41893E-02 1.79636E-04 2.35828E-03 2.53792E-03 1.75840E-04 0.043519 6 1 40.0 0.0 180.0 2.96528E-02 1.85005E-04 8.34551E-04 1.01956E-03 1.81095E-04 0.028144 6 4 40.0 45.0 135.0 3.25009E-02 1.83746E-04 9.18063E-04 1.10181E-03 1.79864E-04 0.028247 6 7 40.0 90.0 90.0 4.43674E-02 1.81172E-04 1.38658E-03 1.56775E-03 1.77344E-04 0.031252 5 1 50.0 0.0 180.0 2.91553E-02 1.88047E-04 1.19991E-03 1.38796E-03 1.84073E-04 0.041156 5 4 50.0 45.0 135.0 3.14178E-02 1.85777E-04 1.27913E-03 1.46491E-03 1.81851E-04 0.040714 5 7 50.0 90.0 90.0 4.04774E-02 1.83683E-04 1.63997E-03 1.82365E-03 1.79802E-04 0.040516 4 1 60.0 0.0 180.0 3.21840E-02 1.86204E-04 2.58041E-03 2.76661E-03 1.82269E-04 0.080177 4 4 60.0 45.0 135.0 3.38238E-02 1.83736E-04 2.64211E-03 2.82584E-03 1.79853E-04 0.078114 4 7 60.0 90.0 90.0 4.11871E-02 1.84241E-04 3.10917E-03 3.29341E-03 1.80348E-04 0.075489 3 1 70.0 0.0 180.0 4.15628E-02 1.74208E-04 6.80960E-03 6.98381E-03 1.70527E-04 0.163839 3 4 70.0 45.0 135.0 4.21448E-02 1.73896E-04 6.84341E-03 7.01730E-03 1.70221E-04 0.162379 3 7 70.0 90.0 90.0 4.77655E-02 1.74879E-04 7.61616E-03 7.79104E-03 1.71183E-04 0.159449 2 1 80.0 0.0 180.0 6.68844E-02 1.50650E-04 1.65940E-02 1.67447E-02 1.47467E-04 0.248100 2 4 80.0 45.0 135.0 6.51198E-02 1.50147E-04 1.68097E-02 1.69599E-02 1.46974E-04 0.258135 2 7 80.0 90.0 90.0 6.73731E-02 1.51431E-04 1.81640E-02 1.83154E-02 1.48231E-04 0.269603 1 1 87.5 0.0 180.0 1.05689E-01 1.22891E-04 2.91113E-02 2.92341E-02 1.20294E-04 0.275443 1 4 87.5 45.0 135.0 1.00135E-01 1.16706E-04 3.03027E-02 3.04194E-02 1.14240E-04 0.302618 1 7 87.5 90.0 90.0 9.63267E-02 1.30647E-04 3.20921E-02 3.22228E-02 1.27886E-04 0.333159 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 720.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.881E-02 1.165E-01 6.746E-02 6.427E-02 7.960E-02 1.841E-02 1.639E+00 1.750E-04 1.713E-04 1 0.00 0.00 3.247E-04 2.166E-01 9.077E-04 1.130E-03 1.677E-03 3.273E-04 4.275E+00 3 20.19 10.00 2.643E-06 5.986E-06 2.498E-06 2.498E-06 2.499E-06 2.475E-01 2.989E+00 5 40.39 20.00 5.410E-07 6.965E-07 5.262E-07 5.262E-07 5.262E-07 2.776E-01 3.039E+00 Waveband 19 of 20 completed in 10.1 sec. * * * * * Output for wavelength band 20 (730.0 to 750.0 nm; nominal wavelength = 740.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 26.3 m at 740.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 730.0 nm to 750.0 nm: Ed(diffuse) = 2.451E-01 Ed(direct) = 8.355E-01 Ed(total) = 1.081E+00 Absorption Coefficients of Individual Components at 740.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 2.3800 0.0000 0.0000 0.0003 2.3803 3 31.682 10.000 2.3800 0.0000 0.0000 0.0003 2.3803 5 63.363 20.000 2.3800 0.0000 0.0000 0.0003 2.3803 Scattering Coefficients of Individual Components at 740.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0005 0.2757 0.5116 0.0000 0.7879 3 31.682 10.000 0.0005 0.2757 0.5116 0.0000 0.7879 5 63.363 20.000 0.0005 0.2757 0.5116 0.0000 0.7879 Backscattering Coefficients of Individual Components at 740.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00027 0.00387 0.00090 0.00000 0.00503 3 31.682 10.000 0.00027 0.00387 0.00090 0.00000 0.00503 5 63.363 20.000 0.00027 0.00387 0.00090 0.00000 0.00503 Summary of Inherent Optical Properties at 740.0 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 2.3803 0.7879 3.1682 0.2487 0.00503 0.00639 3 31.682 10.000 2.3803 0.7879 3.1682 0.2487 0.00503 0.00639 5 63.363 20.000 2.3803 0.7879 3.1682 0.2487 0.00503 0.00639 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 7.2911E-01 8 20.00 3.2591E-01 7 30.00 1.0442E-01 6 40.00 2.8731E-02 5 50.00 8.0636E-03 4 60.00 2.6278E-03 3 70.00 1.0405E-03 2 80.00 4.8828E-04 1 87.50 2.9978E-04 1 92.50 2.2393E-04 2 100.00 1.5636E-04 3 110.00 1.0766E-04 4 120.00 8.3071E-05 5 130.00 7.0193E-05 6 140.00 6.3192E-05 7 150.00 5.9331E-05 8 160.00 5.7259E-05 9 170.00 5.6257E-05 10 180.00 5.5911E-05 Asymptotic AOP values are MUu(inf) = 0.3739 MUd(inf) = 0.9248 MU(inf) = 0.9226 R(inf) = 0.0007 Lu(inf)/Ed(inf) = 0.000162 (1/sr) k(inf) = 2.5804 (1/m) absorp(check) = 2.3806 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 740.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 8.1091E-02 1.3601E+00 1.4412E+00 3.2227E-02 1.0806E+00 0.3974 0.7945 0.7274 2.9824E-02 1 0.00 0.00 1.9269E-03 1.1265E+00 1.1285E+00 7.3137E-04 1.0490E+00 0.3796 0.9312 0.9290 6.9720E-04 3 31.68 10.00 1.9274E-06 7.8851E-06 9.8125E-06 9.6607E-07 4.2108E-06 0.5012 0.5340 0.3307 2.2943E-01 5 63.36 20.00 6.6607E-07 1.3847E-06 2.0508E-06 3.3587E-07 7.2211E-07 0.5043 0.5215 0.1883 4.6512E-01 K-functions (units of 1/meter) at 740.0 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 2.49634 2.54905 2.54896 2.51519 2.56238 2.56241 2.54262 10.000 10.010 10.005 1.54596 64.39621 48.53936 0.62329 66.32227 98.70007 0.30033 20.000 20.010 20.005 0.92449 66.85679 40.37564 0.40972 67.41966 244.58474 0.23466 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 740.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.22025E-01 9.20194E-05 1.97341E-02 1.98261E-02 8.51571E-05 0.161721 9 1 10.0 0.0 180.0 6.27968E-02 9.40473E-05 5.19128E-03 5.28533E-03 8.70337E-05 0.082668 9 4 10.0 45.0 135.0 7.05205E-02 9.33641E-05 6.94626E-03 7.03962E-03 8.64015E-05 0.098500 9 7 10.0 90.0 90.0 1.01730E-01 9.27096E-05 1.48674E-02 1.49601E-02 8.57957E-05 0.146145 8 1 20.0 0.0 180.0 4.37377E-02 9.51143E-05 1.64119E-03 1.73631E-03 8.80211E-05 0.037524 8 4 20.0 45.0 135.0 4.94744E-02 9.37477E-05 2.24429E-03 2.33803E-03 8.67565E-05 0.045363 8 7 20.0 90.0 90.0 7.56446E-02 9.29240E-05 6.91003E-03 7.00295E-03 8.59942E-05 0.091349 7 1 30.0 0.0 180.0 3.48608E-02 9.65649E-05 8.90599E-04 9.87164E-04 8.93635E-05 0.025547 7 4 30.0 45.0 135.0 3.88181E-02 9.59316E-05 1.06867E-03 1.16460E-03 8.87775E-05 0.027530 7 7 30.0 90.0 90.0 5.67443E-02 9.44111E-05 2.48240E-03 2.57681E-03 8.73704E-05 0.043747 6 1 40.0 0.0 180.0 3.10509E-02 9.74996E-05 8.73900E-04 9.71400E-04 9.02286E-05 0.028144 6 4 40.0 45.0 135.0 3.40333E-02 9.67477E-05 9.61370E-04 1.05812E-03 8.95327E-05 0.028248 6 7 40.0 90.0 90.0 4.64593E-02 9.51770E-05 1.45320E-03 1.54837E-03 8.80792E-05 0.031279 5 1 50.0 0.0 180.0 3.05300E-02 9.91099E-05 1.25649E-03 1.35560E-03 9.17187E-05 0.041156 5 4 50.0 45.0 135.0 3.28992E-02 9.78101E-05 1.33944E-03 1.43725E-03 9.05159E-05 0.040714 5 7 50.0 90.0 90.0 4.23859E-02 9.64643E-05 1.71733E-03 1.81379E-03 8.92704E-05 0.040517 4 1 60.0 0.0 180.0 3.37015E-02 9.81407E-05 2.70207E-03 2.80021E-03 9.08219E-05 0.080177 4 4 60.0 45.0 135.0 3.54185E-02 9.67252E-05 2.76668E-03 2.86341E-03 8.95119E-05 0.078114 4 7 60.0 90.0 90.0 4.31291E-02 9.67271E-05 3.25577E-03 3.35249E-03 8.95137E-05 0.075489 3 1 70.0 0.0 180.0 4.35224E-02 9.18113E-05 7.13067E-03 7.22248E-03 8.49644E-05 0.163839 3 4 70.0 45.0 135.0 4.41319E-02 9.15351E-05 7.16607E-03 7.25761E-03 8.47089E-05 0.162379 3 7 70.0 90.0 90.0 5.00176E-02 9.17842E-05 7.97526E-03 8.06705E-03 8.49394E-05 0.159449 2 1 80.0 0.0 180.0 7.00379E-02 7.93930E-05 1.73764E-02 1.74558E-02 7.34723E-05 0.248100 2 4 80.0 45.0 135.0 6.81902E-02 7.90304E-05 1.76023E-02 1.76813E-02 7.31367E-05 0.258135 2 7 80.0 90.0 90.0 7.05497E-02 7.94584E-05 1.90204E-02 1.90999E-02 7.35327E-05 0.269603 1 1 87.5 0.0 180.0 1.10672E-01 6.47682E-05 3.04838E-02 3.05486E-02 5.99381E-05 0.275443 1 4 87.5 45.0 135.0 1.04856E-01 6.14320E-05 3.17314E-02 3.17929E-02 5.68507E-05 0.302618 1 7 87.5 90.0 90.0 1.00868E-01 6.85397E-05 3.36053E-02 3.36738E-02 6.34283E-05 0.333159 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 740.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.983E-02 1.220E-01 7.061E-02 6.727E-02 8.332E-02 1.835E-02 1.626E+00 9.202E-05 8.516E-05 1 0.00 0.00 1.708E-04 2.268E-01 5.544E-04 6.979E-04 1.025E-03 1.628E-04 4.283E+00 3 31.68 10.00 3.250E-07 1.748E-06 6.970E-07 6.970E-07 6.971E-07 7.719E-02 2.972E+00 5 63.36 20.00 1.121E-07 2.554E-07 1.524E-07 1.524E-07 1.524E-07 1.553E-01 2.995E+00 Waveband 20 of 20 completed in 12.4 sec. Energy Eo as a function of depth and wavelength Units are W/m^2 [values are integrated over the wavelength bands] depth 360.0 380.0 400.0 420.0 440.0 460.0 480.0 500.0 520.0 540.0 560.0 580.0 600.0 620.0 640.0 660.0 680.0 700.0 720.0 740.0 in air 2.274E+01 2.250E+01 3.068E+01 3.717E+01 3.995E+01 4.572E+01 4.508E+01 4.441E+01 4.239E+01 4.281E+01 4.175E+01 4.064E+01 3.878E+01 3.791E+01 3.658E+01 3.497E+01 3.351E+01 3.100E+01 2.731E+01 2.882E+01 0.0 1.689E+01 1.715E+01 2.395E+01 2.932E+01 3.186E+01 3.716E+01 3.733E+01 3.730E+01 3.552E+01 3.613E+01 3.505E+01 3.347E+01 3.076E+01 2.996E+01 2.888E+01 2.755E+01 2.658E+01 2.440E+01 2.141E+01 2.257E+01 10.0 2.914E+00 3.603E+00 5.872E+00 7.386E+00 8.361E+00 1.183E+01 1.394E+01 1.540E+01 1.396E+01 1.485E+01 1.335E+01 9.481E+00 1.845E+00 9.675E-01 5.711E-01 1.907E-01 1.647E-01 2.764E-02 6.986E-04 1.962E-04 20.0 3.710E-01 5.548E-01 1.050E+00 1.352E+00 1.591E+00 2.733E+00 3.780E+00 4.624E+00 3.982E+00 4.429E+00 3.678E+00 1.931E+00 8.252E-02 2.476E-02 9.897E-03 4.304E-03 2.088E-02 2.438E-03 1.399E-04 4.102E-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 360.0 380.0 400.0 420.0 440.0 460.0 480.0 500.0 520.0 540.0 560.0 580.0 600.0 620.0 640.0 660.0 680.0 700.0 720.0 740.0 in air 6.842E+01 7.145E+01 1.026E+02 1.305E+02 1.469E+02 1.758E+02 1.809E+02 1.856E+02 1.842E+02 1.932E+02 1.954E+02 1.970E+02 1.945E+02 1.964E+02 1.957E+02 1.929E+02 1.905E+02 1.814E+02 1.644E+02 1.783E+02 0.0 5.081E+01 5.447E+01 8.007E+01 1.029E+02 1.172E+02 1.429E+02 1.498E+02 1.559E+02 1.544E+02 1.631E+02 1.641E+02 1.622E+02 1.542E+02 1.553E+02 1.545E+02 1.520E+02 1.511E+02 1.428E+02 1.288E+02 1.396E+02 10.0 8.767E+00 1.144E+01 1.963E+01 2.593E+01 3.075E+01 4.550E+01 5.592E+01 6.435E+01 6.069E+01 6.702E+01 6.249E+01 4.596E+01 9.254E+00 5.014E+00 3.055E+00 1.052E+00 9.362E-01 1.617E-01 4.204E-03 1.214E-03 20.0 1.116E+00 1.762E+00 3.510E+00 4.746E+00 5.849E+00 1.051E+01 1.516E+01 1.933E+01 1.731E+01 1.999E+01 1.722E+01 9.360E+00 4.138E-01 1.283E-01 5.294E-02 2.374E-02 1.186E-01 1.427E-02 8.418E-04 2.537E-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 2.8433E+03 2.0427E+03 0.00 2.3023E+03 2.0022E+03 10.00 4.9770E+02 3.4162E+02 20.00 1.2373E+02 7.9932E+01 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 0.21050 10.000 10.010 10.005 0.13676 20.000 20.010 20.005 0.14133 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, 0.339, 1.084E+05) (0.302, 0.337, 4.434E+03) (0.318, 0.342, 2.267E+03) (0.240, 0.345, 3.226E+02) (0.243, 0.340, 0.000E+00) 0.00 (0.326, 0.339, 1.066E+05) (0.242, 0.351, 2.628E+03) (0.240, 0.345, 5.982E+02) 10.00 (0.235, 0.376, 2.574E+04) (0.213, 0.393, 1.031E+03) (0.211, 0.385, 1.838E+02) 20.00 (0.215, 0.413, 6.455E+03) (0.204, 0.431, 2.885E+02) (0.203, 0.421, 4.851E+01) 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 The final depth-averaged photopic alpha and K are alpha = 0.8838 1/m and K = 0.1167 1/m The final estimate for the Secchi depth is z_SD = 8.00 m Run completed on 07/17/2013 at 17:36:30.0 Total (wall clock) run time = 124.2 sec