======================================================== | | | HYDROLIGHT Version 5.1.0 (MAIN CODE) | | Copyright (c) 2008 by Curtis D. Mobley | | | | This copy of HE5 is licensed solely to | | Student Version for Maine 2011 Summer Class | | | | S/N Maine_500_31July2011 | | | | THIS PROGRAM IS EXPERIMENTAL AND IS LICENSED "AS IS" | | WITHOUT REPRESENTATION OF WARRANTY OF ANY KIND, | | EITHER EXPRESS OR IMPLIED. THE ENTIRE RISK AS TO | | THE QUALITY AND PERFORMANCE OF HYDROLIGHT IS WITH | | THE USER. HYDROLIGHT IS NOT FAULT TOLERANT. | | | ======================================================== RUN TITLE: lab 2 - iop from ac9 ex 1 30zen (07/20/2011 21:33) Run started on 07/20/2011 at 21:33:00.4 The radiance distribution is computed on the following (Theta,Phi,Depth,Wavelength) grid: I Theta Mu J Phi K zeta z L Lambda (deg) (deg) (m) (nm) 1 87.500 0.0436 1 0.00 1 0.000 1 405.00 2 80.000 0.1730 2 15.00 2 0.010 2 415.00 3 70.000 0.3407 3 30.00 3 5.000 3 425.00 4 60.000 0.4981 4 45.00 4 5.010 4 435.00 5 50.000 0.6403 5 60.00 5 10.000 5 445.00 6 40.000 0.7631 6 75.00 6 10.010 6 455.00 7 30.000 0.8627 7 90.00 7 15.000 7 465.00 8 20.000 0.9361 8 105.00 8 15.010 8 475.00 9 10.000 0.9811 9 120.00 9 20.000 9 485.00 10 0.000 0.9981 10 135.00 10 20.010 10 495.00 11 150.00 11 25.000 11 505.00 12 165.00 12 25.010 12 515.00 13 180.00 13 30.000 13 525.00 14 195.00 14 30.010 14 535.00 15 210.00 15 35.000 15 545.00 16 225.00 16 35.010 16 555.00 17 240.00 17 40.000 17 565.00 18 255.00 18 40.010 18 575.00 19 270.00 19 45.000 19 585.00 20 285.00 20 45.010 20 595.00 21 300.00 21 50.000 21 605.00 22 315.00 22 50.010 22 615.00 23 330.00 23 625.00 24 345.00 24 635.00 25 645.00 26 655.00 27 665.00 28 675.00 29 685.00 30 695.00 ***** BEGIN IOP MODEL SPECIFICATIONS ***** The IOP routine "abNewCase1" is being used: Absorption and scattering coefficients for case 1 water (Morel et al. bio-optical models) are used. component 1 is pure water component 2 is small particles component 3 is large particles component 4 is CDOM Pure water a and b values are obtained from the file: ..\data\H2OabDefaults.txt (Linear interpolation is used to define values at all wavelengths) The data file header records from ..\data\H2OabDefaults.txt are: Default "pure water" absorption (a) and scattering (b) coefficients. Based on: 200-300 nm: R.C. Smith and K. Baker, 1981. Appl. Optics 20(2), 177-184. 191 records read The phase function for component 1 comes from a file titled pure sea water (Rayleigh-like phase function); standard quad partition; 7 Sept 98 The chlorophyll concentration is constant with depth with a value of 8.00 (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 8.000 5.000 8.000 10.000 8.000 15.000 8.000 20.000 8.000 25.000 8.000 30.000 8.000 35.000 8.000 40.000 8.000 45.000 8.000 50.000 8.000 chlorophyll AE filename: ..\data\AE_midUVabs.txt ***** END IOP MODEL SPECIFICATIONS ***** ***** BEGIN INELASTIC SCATTER AND INTERNAL SOURCE SPECIFICATIONS ***** Chlorophyll fluorescence is included in this run Chl fluorescent quantum efficiency set to 0.020 CDOM fluorescence is included in this run Raman scattering is included in this run Raman scattering cross-section set to 2.40E-04 m-1 at reference wavelength 488.0 nm ***** END INELASTIC SCATTER AND INTERNAL SOURCE SPECIFICATIONS ***** ***** BEGIN ATMOSPHERIC MODEL SPECIFICATIONS ***** Normalized sky radiances are computed using sky model "HCNRAD" (Harrison and Coombes Normalized RADiances) The cloud fraction is cloud = 1.0 (0 for a clear sky to 1 for a heavy overcast) The sun is placed in quad Q(r,s) = Q( 7, 1) centered at (theta, phi) = (30.000, 0.000) Diffuse and Direct Sky irradiances are computed using the "RADTRANX" (RADTRAN eXtended for 300-1000 nm) model The RADTRAN clear-sky irradiances are adjusted for cloudiness by the model of Kasten and Czeplak Parameter values used in the RADTRANX model: Solar zenith angle = 30.0 degrees Pressure = 29.9 in. mercury Day of year = not set (mean earth-sun distance used) Air mass type = 1.0 Relative Humidity = 80.0 % Precipitable water = 2.5 cm 24-hr wind speed = 5.0 m/sec Current wind speed = 5.0 m/sec Visibility = 15.0 km Total ozone = 300.0 Dobson units Irradiances are computed just above the sea surface Aerosol optical thickness at 550 nm = 0.261 ***** END ATMOSPHERIC MODEL SPECIFICATIONS ***** ***** BEGIN AIR-WATER SURFACE SPECIFICATIONS ***** The air-water surface is for a wind speed of 5.0 m/s Index of refraction is constant for all wavelengths with the value: 1.340 ***** END AIR-WATER SURFACE SPECIFICATIONS ***** ***** BEGIN BOTTOM BOUNDARY SPECIFICATIONS ***** The bottom boundary is an infinitely deep, homogeneous water body below depth 50.00 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 (400.0 to 410.0 nm; nominal wavelength = 405.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 59.2 m at 405.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 400.0 nm to 410.0 nm: Ed(diffuse) = 4.287E-01 Ed(direct) = 6.992E-01 Ed(total) = 1.128E+00 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 2.820E-01 Ed(direct) = 0.000E+00 Ed(total) = 2.820E-01 Absorption Coefficients of Individual Components at 405.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0053 0.1899 0.0000 0.0636 0.2587 3 11.559 5.000 0.0053 0.1899 0.0000 0.0636 0.2587 5 23.117 10.000 0.0053 0.1899 0.0000 0.0636 0.2587 7 34.676 15.000 0.0053 0.1899 0.0000 0.0636 0.2587 9 46.234 20.000 0.0053 0.1899 0.0000 0.0636 0.2587 11 57.793 25.000 0.0053 0.1899 0.0000 0.0636 0.2587 13 69.351 30.000 0.0053 0.1899 0.0000 0.0636 0.2587 15 80.910 35.000 0.0053 0.1899 0.0000 0.0636 0.2587 17 92.469 40.000 0.0053 0.1899 0.0000 0.0636 0.2587 19 104.027 45.000 0.0053 0.1899 0.0000 0.0636 0.2587 21 115.586 50.000 0.0053 0.1899 0.0000 0.0636 0.2587 Scattering Coefficients of Individual Components at 405.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0072 0.4797 1.5661 0.0000 2.0530 3 11.559 5.000 0.0072 0.4797 1.5661 0.0000 2.0530 5 23.117 10.000 0.0072 0.4797 1.5661 0.0000 2.0530 7 34.676 15.000 0.0072 0.4797 1.5661 0.0000 2.0530 9 46.234 20.000 0.0072 0.4797 1.5661 0.0000 2.0530 11 57.793 25.000 0.0072 0.4797 1.5661 0.0000 2.0530 13 69.351 30.000 0.0072 0.4797 1.5661 0.0000 2.0530 15 80.910 35.000 0.0072 0.4797 1.5661 0.0000 2.0530 17 92.469 40.000 0.0072 0.4797 1.5661 0.0000 2.0530 19 104.027 45.000 0.0072 0.4797 1.5661 0.0000 2.0530 21 115.586 50.000 0.0072 0.4797 1.5661 0.0000 2.0530 Backscattering Coefficients of Individual Components at 405.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00359 0.00672 0.00276 0.00000 0.01307 3 11.559 5.000 0.00359 0.00672 0.00276 0.00000 0.01307 5 23.117 10.000 0.00359 0.00672 0.00276 0.00000 0.01307 7 34.676 15.000 0.00359 0.00672 0.00276 0.00000 0.01307 9 46.234 20.000 0.00359 0.00672 0.00276 0.00000 0.01307 11 57.793 25.000 0.00359 0.00672 0.00276 0.00000 0.01307 13 69.351 30.000 0.00359 0.00672 0.00276 0.00000 0.01307 15 80.910 35.000 0.00359 0.00672 0.00276 0.00000 0.01307 17 92.469 40.000 0.00359 0.00672 0.00276 0.00000 0.01307 19 104.027 45.000 0.00359 0.00672 0.00276 0.00000 0.01307 21 115.586 50.000 0.00359 0.00672 0.00276 0.00000 0.01307 Summary of Inherent Optical Properties at 405.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2587 2.0530 2.3117 0.8881 0.01307 0.00637 3 11.559 5.000 0.2587 2.0530 2.3117 0.8881 0.01307 0.00637 5 23.117 10.000 0.2587 2.0530 2.3117 0.8881 0.01307 0.00637 7 34.676 15.000 0.2587 2.0530 2.3117 0.8881 0.01307 0.00637 9 46.234 20.000 0.2587 2.0530 2.3117 0.8881 0.01307 0.00637 11 57.793 25.000 0.2587 2.0530 2.3117 0.8881 0.01307 0.00637 13 69.351 30.000 0.2587 2.0530 2.3117 0.8881 0.01307 0.00637 15 80.910 35.000 0.2587 2.0530 2.3117 0.8881 0.01307 0.00637 17 92.469 40.000 0.2587 2.0530 2.3117 0.8881 0.01307 0.00637 19 104.027 45.000 0.2587 2.0530 2.3117 0.8881 0.01307 0.00637 21 115.586 50.000 0.2587 2.0530 2.3117 0.8881 0.01307 0.00637 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5164E-01 8 20.00 8.3185E-01 7 30.00 6.6953E-01 6 40.00 4.9982E-01 5 50.00 3.4972E-01 4 60.00 2.3255E-01 3 70.00 1.4945E-01 2 80.00 9.5095E-02 1 87.50 6.6962E-02 1 92.50 5.1350E-02 2 100.00 3.6674E-02 3 110.00 2.4793E-02 4 120.00 1.7549E-02 5 130.00 1.3202E-02 6 140.00 1.0592E-02 7 150.00 9.0326E-03 8 160.00 8.1262E-03 9 170.00 7.6528E-03 10 180.00 7.4906E-03 Asymptotic AOP values are MUu(inf) = 0.3374 MUd(inf) = 0.7088 MU(inf) = 0.6426 R(inf) = 0.0322 Lu(inf)/Ed(inf) = 0.005175 (1/sr) k(inf) = 0.4027 (1/m) absorp(check) = 0.2588 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 405.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 6.5323E-02 4.9973E-01 5.6505E-01 1.7755E-02 2.8199E-01 0.2718 0.5643 0.4676 6.2964E-02 1 0.00 0.00 1.7045E-02 3.3111E-01 3.4815E-01 6.7847E-03 2.7101E-01 0.3980 0.8185 0.7589 2.5035E-02 3 11.56 5.00 3.7428E-03 5.5986E-02 5.9729E-02 1.2703E-03 3.9989E-02 0.3394 0.7143 0.6482 3.1767E-02 5 23.12 10.00 5.1182E-04 7.5844E-03 8.0962E-03 1.7281E-04 5.3817E-03 0.3376 0.7096 0.6434 3.2112E-02 7 34.68 15.00 6.8573E-05 1.0150E-03 1.0836E-03 2.3139E-05 7.1958E-04 0.3374 0.7090 0.6427 3.2157E-02 9 46.23 20.00 9.1630E-06 1.3560E-04 1.4476E-04 3.0917E-06 9.6120E-05 0.3374 0.7089 0.6426 3.2165E-02 11 57.79 25.00 1.2239E-06 1.8111E-05 1.9335E-05 4.1293E-07 1.2837E-05 0.3374 0.7088 0.6426 3.2166E-02 13 69.35 30.00 1.6345E-07 2.4188E-06 2.5822E-06 5.5149E-08 1.7145E-06 0.3374 0.7088 0.6426 3.2167E-02 15 80.91 35.00 2.1829E-08 3.2303E-07 3.4486E-07 7.3652E-09 2.2897E-07 0.3374 0.7088 0.6426 3.2167E-02 17 92.47 40.00 2.9154E-09 4.3141E-08 4.6056E-08 9.8364E-10 3.0580E-08 0.3374 0.7088 0.6426 3.2167E-02 19 104.03 45.00 3.8936E-10 5.7616E-09 6.1510E-09 1.3137E-10 4.0840E-09 0.3374 0.7088 0.6426 3.2167E-02 21 115.59 50.00 5.2000E-11 7.6948E-10 8.2148E-10 1.7545E-11 5.4543E-10 0.3374 0.7088 0.6426 3.2167E-02 K-functions (units of 1/meter) at 405.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.10244 0.26072 0.25296 0.16269 0.33661 0.34108 0.30812 5.000 5.010 5.005 0.39035 0.39549 0.39517 0.39326 0.39897 0.39916 0.39787 10.000 10.010 10.005 0.40127 0.40178 0.40174 0.40154 0.40215 0.40217 0.40202 15.000 15.010 15.005 0.40241 0.40250 0.40249 0.40246 0.40256 0.40257 0.40254 20.000 20.010 20.005 0.40261 0.40263 0.40262 0.40262 0.40264 0.40264 0.40263 25.000 25.010 25.005 0.40265 0.40265 0.40265 0.40265 0.40265 0.40265 0.40265 30.000 30.010 30.005 0.40266 0.40266 0.40266 0.40265 0.40265 0.40265 0.40265 35.000 35.010 35.005 0.40265 0.40265 0.40265 0.40265 0.40265 0.40265 0.40265 40.000 40.010 40.005 0.40264 0.40265 0.40265 0.40265 0.40265 0.40265 0.40265 45.000 45.010 45.005 0.40265 0.40265 0.40265 0.40265 0.40265 0.40265 0.40265 50.000 50.010 50.005 0.40265 0.40265 0.40265 0.40265 0.40265 0.40265 0.40265 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 405.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.11250E-01 7.27132E-04 2.17341E-03 2.90055E-03 2.57860E-03 0.019536 9 1 10.0 0.0 180.0 1.02989E-01 7.39531E-04 2.03451E-03 2.77404E-03 2.62257E-03 0.019755 9 4 10.0 45.0 135.0 1.04471E-01 7.37903E-04 2.06353E-03 2.80143E-03 2.61679E-03 0.019752 9 7 10.0 90.0 90.0 1.09131E-01 7.39370E-04 2.14957E-03 2.88894E-03 2.62200E-03 0.019697 8 1 20.0 0.0 180.0 9.66578E-02 7.55895E-04 1.94356E-03 2.69945E-03 2.68060E-03 0.020108 8 4 20.0 45.0 135.0 9.83876E-02 7.50965E-04 1.97990E-03 2.73087E-03 2.66311E-03 0.020123 8 7 20.0 90.0 90.0 1.04488E-01 7.54889E-04 2.08795E-03 2.84283E-03 2.67703E-03 0.019983 7 1 30.0 0.0 180.0 9.03059E-02 7.81293E-04 1.92428E-03 2.70558E-03 2.77067E-03 0.021309 7 4 30.0 45.0 135.0 9.19340E-02 7.83901E-04 1.96156E-03 2.74546E-03 2.77991E-03 0.021337 7 7 30.0 90.0 90.0 9.80421E-02 7.85530E-04 2.08514E-03 2.87067E-03 2.78569E-03 0.021268 6 1 40.0 0.0 180.0 8.38449E-02 8.18064E-04 2.08125E-03 2.89931E-03 2.90106E-03 0.024823 6 4 40.0 45.0 135.0 8.52461E-02 8.20780E-04 2.11288E-03 2.93366E-03 2.91070E-03 0.024786 6 7 40.0 90.0 90.0 9.06584E-02 8.24441E-04 2.25436E-03 3.07880E-03 2.92368E-03 0.024866 5 1 50.0 0.0 180.0 7.71619E-02 8.65295E-04 2.67105E-03 3.53635E-03 3.06856E-03 0.034616 5 4 50.0 45.0 135.0 7.83156E-02 8.63824E-04 2.71680E-03 3.58062E-03 3.06334E-03 0.034690 5 7 50.0 90.0 90.0 8.28187E-02 8.68147E-04 2.87568E-03 3.74383E-03 3.07867E-03 0.034723 4 1 60.0 0.0 180.0 7.02179E-02 8.92769E-04 4.36416E-03 5.25693E-03 3.16599E-03 0.062152 4 4 60.0 45.0 135.0 7.11454E-02 8.89836E-04 4.41113E-03 5.30096E-03 3.15559E-03 0.062002 4 7 60.0 90.0 90.0 7.47618E-02 9.03376E-04 4.67217E-03 5.57554E-03 3.20360E-03 0.062494 3 1 70.0 0.0 180.0 6.30442E-02 8.75145E-04 8.67380E-03 9.54895E-03 3.10349E-03 0.137583 3 4 70.0 45.0 135.0 6.37804E-02 8.80606E-04 8.80425E-03 9.68485E-03 3.12285E-03 0.138040 3 7 70.0 90.0 90.0 6.66246E-02 8.90457E-04 9.35158E-03 1.02420E-02 3.15779E-03 0.140362 2 1 80.0 0.0 180.0 5.57279E-02 7.88168E-04 1.76946E-02 1.84828E-02 2.79504E-03 0.317518 2 4 80.0 45.0 135.0 5.63089E-02 7.90418E-04 1.82670E-02 1.90574E-02 2.80303E-03 0.324406 2 7 80.0 90.0 90.0 5.85175E-02 7.94811E-04 1.92580E-02 2.00528E-02 2.81860E-03 0.329098 1 1 87.5 0.0 180.0 5.02281E-02 6.66749E-04 2.94395E-02 3.01063E-02 2.36446E-03 0.586116 1 4 87.5 45.0 135.0 5.07146E-02 6.34875E-04 3.09780E-02 3.16129E-02 2.25143E-03 0.610829 1 7 87.5 90.0 90.0 5.25325E-02 7.02483E-04 3.22440E-02 3.29464E-02 2.49119E-03 0.613790 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 405.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 2.901E-03 1.112E-01 4.017E-02 4.274E-02 4.779E-02 1.029E-02 6.121E+00 7.271E-04 2.579E-03 1 0.00 0.00 1.347E-03 1.962E-01 4.413E-03 4.640E-03 4.833E-03 4.972E-03 5.035E+00 3 11.56 5.00 2.064E-04 2.834E-02 1.520E-03 1.579E-03 1.661E-03 5.162E-03 6.154E+00 5 23.12 10.00 2.784E-05 3.741E-03 2.148E-04 2.189E-04 2.236E-04 5.173E-03 6.207E+00 7 34.68 15.00 3.724E-06 4.977E-04 2.914E-05 2.939E-05 2.964E-05 5.175E-03 6.214E+00 9 46.23 20.00 4.974E-07 6.642E-05 3.914E-06 3.928E-06 3.942E-06 5.175E-03 6.215E+00 11 57.79 25.00 6.643E-08 8.869E-06 5.239E-07 5.246E-07 5.254E-07 5.175E-03 6.216E+00 13 69.35 30.00 8.872E-09 1.184E-06 7.003E-08 7.007E-08 7.011E-08 5.175E-03 6.216E+00 15 80.91 35.00 1.185E-09 1.582E-07 9.355E-09 9.358E-09 9.360E-09 5.175E-03 6.216E+00 17 92.47 40.00 1.582E-10 2.113E-08 1.250E-09 1.250E-09 1.250E-09 5.175E-03 6.216E+00 19 104.03 45.00 2.113E-11 2.821E-09 1.669E-10 1.669E-10 1.669E-10 5.175E-03 6.216E+00 21 115.59 50.00 2.823E-12 3.768E-10 2.229E-11 2.229E-11 2.229E-11 5.175E-03 6.216E+00 Waveband 1 of 30 completed in 21.2 sec. * * * * * Output for wavelength band 2 (410.0 to 420.0 nm; nominal wavelength = 415.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 59.2 m at 415.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 410.0 nm to 420.0 nm: Ed(diffuse) = 4.394E-01 Ed(direct) = 7.590E-01 Ed(total) = 1.198E+00 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 2.996E-01 Ed(direct) = 0.000E+00 Ed(total) = 2.996E-01 Absorption Coefficients of Individual Components at 415.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0044 0.1986 0.0000 0.0553 0.2583 3 11.553 5.000 0.0044 0.1986 0.0000 0.0553 0.2583 5 23.106 10.000 0.0044 0.1986 0.0000 0.0553 0.2583 7 34.658 15.000 0.0044 0.1986 0.0000 0.0553 0.2583 9 46.211 20.000 0.0044 0.1986 0.0000 0.0553 0.2583 11 57.764 25.000 0.0044 0.1986 0.0000 0.0553 0.2583 13 69.317 30.000 0.0044 0.1986 0.0000 0.0553 0.2583 15 80.869 35.000 0.0044 0.1986 0.0000 0.0553 0.2583 17 92.422 40.000 0.0044 0.1986 0.0000 0.0553 0.2583 19 103.975 45.000 0.0044 0.1986 0.0000 0.0553 0.2583 21 115.528 50.000 0.0044 0.1986 0.0000 0.0553 0.2583 Scattering Coefficients of Individual Components at 415.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0065 0.4797 1.5661 0.0000 2.0523 3 11.553 5.000 0.0065 0.4797 1.5661 0.0000 2.0523 5 23.106 10.000 0.0065 0.4797 1.5661 0.0000 2.0523 7 34.658 15.000 0.0065 0.4797 1.5661 0.0000 2.0523 9 46.211 20.000 0.0065 0.4797 1.5661 0.0000 2.0523 11 57.764 25.000 0.0065 0.4797 1.5661 0.0000 2.0523 13 69.317 30.000 0.0065 0.4797 1.5661 0.0000 2.0523 15 80.869 35.000 0.0065 0.4797 1.5661 0.0000 2.0523 17 92.422 40.000 0.0065 0.4797 1.5661 0.0000 2.0523 19 103.975 45.000 0.0065 0.4797 1.5661 0.0000 2.0523 21 115.528 50.000 0.0065 0.4797 1.5661 0.0000 2.0523 Backscattering Coefficients of Individual Components at 415.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00323 0.00672 0.00276 0.00000 0.01271 3 11.553 5.000 0.00323 0.00672 0.00276 0.00000 0.01271 5 23.106 10.000 0.00323 0.00672 0.00276 0.00000 0.01271 7 34.658 15.000 0.00323 0.00672 0.00276 0.00000 0.01271 9 46.211 20.000 0.00323 0.00672 0.00276 0.00000 0.01271 11 57.764 25.000 0.00323 0.00672 0.00276 0.00000 0.01271 13 69.317 30.000 0.00323 0.00672 0.00276 0.00000 0.01271 15 80.869 35.000 0.00323 0.00672 0.00276 0.00000 0.01271 17 92.422 40.000 0.00323 0.00672 0.00276 0.00000 0.01271 19 103.975 45.000 0.00323 0.00672 0.00276 0.00000 0.01271 21 115.528 50.000 0.00323 0.00672 0.00276 0.00000 0.01271 Summary of Inherent Optical Properties at 415.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2583 2.0523 2.3106 0.8882 0.01271 0.00619 3 11.553 5.000 0.2583 2.0523 2.3106 0.8882 0.01271 0.00619 5 23.106 10.000 0.2583 2.0523 2.3106 0.8882 0.01271 0.00619 7 34.658 15.000 0.2583 2.0523 2.3106 0.8882 0.01271 0.00619 9 46.211 20.000 0.2583 2.0523 2.3106 0.8882 0.01271 0.00619 11 57.764 25.000 0.2583 2.0523 2.3106 0.8882 0.01271 0.00619 13 69.317 30.000 0.2583 2.0523 2.3106 0.8882 0.01271 0.00619 15 80.869 35.000 0.2583 2.0523 2.3106 0.8882 0.01271 0.00619 17 92.422 40.000 0.2583 2.0523 2.3106 0.8882 0.01271 0.00619 19 103.975 45.000 0.2583 2.0523 2.3106 0.8882 0.01271 0.00619 21 115.528 50.000 0.2583 2.0523 2.3106 0.8882 0.01271 0.00619 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5168E-01 8 20.00 8.3197E-01 7 30.00 6.6971E-01 6 40.00 5.0001E-01 5 50.00 3.4988E-01 4 60.00 2.3263E-01 3 70.00 1.4945E-01 2 80.00 9.5025E-02 1 87.50 6.6850E-02 1 92.50 5.1212E-02 2 100.00 3.6514E-02 3 110.00 2.4618E-02 4 120.00 1.7366E-02 5 130.00 1.3016E-02 6 140.00 1.0407E-02 7 150.00 8.8473E-03 8 160.00 7.9414E-03 9 170.00 7.4684E-03 10 180.00 7.3064E-03 Asymptotic AOP values are MUu(inf) = 0.3359 MUd(inf) = 0.7089 MU(inf) = 0.6433 R(inf) = 0.0318 Lu(inf)/Ed(inf) = 0.005046 (1/sr) k(inf) = 0.4016 (1/m) absorp(check) = 0.2583 = k(inf)*MU(inf) The CDOM absorption at each wavelength is constant with depth with a value of 0.00 (1/m) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 415.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 6.9295E-02 5.3096E-01 6.0026E-01 1.8805E-02 2.9961E-01 0.2714 0.5643 0.4678 6.2765E-02 1 0.00 0.00 1.7864E-02 3.5162E-01 3.6948E-01 7.0893E-03 2.8789E-01 0.3969 0.8188 0.7600 2.4625E-02 3 11.55 5.00 3.9650E-03 5.9799E-02 6.3765E-02 1.3400E-03 4.2717E-02 0.3380 0.7143 0.6489 3.1370E-02 5 23.11 10.00 5.4532E-04 8.1460E-03 8.6913E-03 1.8334E-04 5.7805E-03 0.3362 0.7096 0.6440 3.1716E-02 7 34.66 15.00 7.3465E-05 1.0961E-03 1.1696E-03 2.4684E-05 7.7716E-04 0.3360 0.7090 0.6434 3.1762E-02 9 46.21 20.00 9.8709E-06 1.4725E-04 1.5712E-04 3.3162E-06 1.0438E-04 0.3360 0.7089 0.6432 3.1770E-02 11 57.76 25.00 1.3256E-06 1.9774E-05 2.1100E-05 4.4535E-07 1.4017E-05 0.3360 0.7089 0.6432 3.1771E-02 13 69.32 30.00 1.7801E-07 2.6554E-06 2.8334E-06 5.9803E-08 1.8823E-06 0.3360 0.7089 0.6432 3.1771E-02 15 80.87 35.00 2.3904E-08 3.5657E-07 3.8047E-07 8.0305E-09 2.5276E-07 0.3360 0.7089 0.6432 3.1771E-02 17 92.42 40.00 3.2099E-09 4.7881E-08 5.1091E-08 1.0784E-09 3.3941E-08 0.3360 0.7089 0.6432 3.1771E-02 19 103.97 45.00 4.3104E-10 6.4297E-09 6.8607E-09 1.4481E-10 4.5578E-09 0.3360 0.7089 0.6432 3.1771E-02 21 115.53 50.00 5.7881E-11 8.6340E-10 9.2129E-10 1.9445E-11 6.1204E-10 0.3360 0.7089 0.6432 3.1771E-02 K-functions (units of 1/meter) at 415.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.09734 0.25936 0.25152 0.15852 0.33554 0.34001 0.30613 5.000 5.010 5.005 0.38915 0.39437 0.39405 0.39205 0.39786 0.39805 0.39673 10.000 10.010 10.005 0.40015 0.40067 0.40064 0.40043 0.40105 0.40107 0.40092 15.000 15.010 15.005 0.40131 0.40140 0.40140 0.40136 0.40147 0.40147 0.40145 20.000 20.010 20.005 0.40151 0.40153 0.40153 0.40152 0.40154 0.40154 0.40154 25.000 25.010 25.005 0.40155 0.40155 0.40155 0.40155 0.40156 0.40156 0.40156 30.000 30.010 30.005 0.40157 0.40156 0.40156 0.40156 0.40156 0.40156 0.40156 35.000 35.010 35.005 0.40156 0.40156 0.40156 0.40156 0.40156 0.40156 0.40156 40.000 40.010 40.005 0.40155 0.40156 0.40156 0.40156 0.40156 0.40156 0.40156 45.000 45.010 45.005 0.40154 0.40155 0.40155 0.40155 0.40156 0.40156 0.40156 50.000 50.010 50.005 0.40155 0.40156 0.40156 0.40156 0.40156 0.40156 0.40156 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 415.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.18203E-01 7.52522E-04 2.30926E-03 3.06178E-03 2.51165E-03 0.019536 9 1 10.0 0.0 180.0 1.09426E-01 7.65497E-04 2.16167E-03 2.92717E-03 2.55495E-03 0.019755 9 4 10.0 45.0 135.0 1.11001E-01 7.63844E-04 2.19251E-03 2.95635E-03 2.54944E-03 0.019752 9 7 10.0 90.0 90.0 1.15952E-01 7.65446E-04 2.28392E-03 3.04937E-03 2.55478E-03 0.019697 8 1 20.0 0.0 180.0 1.02699E-01 7.82904E-04 2.06504E-03 2.84794E-03 2.61305E-03 0.020108 8 4 20.0 45.0 135.0 1.04537E-01 7.77852E-04 2.10365E-03 2.88151E-03 2.59619E-03 0.020123 8 7 20.0 90.0 90.0 1.11019E-01 7.82053E-04 2.21845E-03 3.00050E-03 2.61021E-03 0.019983 7 1 30.0 0.0 180.0 9.59503E-02 8.09865E-04 2.04456E-03 2.85442E-03 2.70304E-03 0.021309 7 4 30.0 45.0 135.0 9.76802E-02 8.12643E-04 2.08416E-03 2.89681E-03 2.71231E-03 0.021337 7 7 30.0 90.0 90.0 1.04170E-01 8.14525E-04 2.21547E-03 3.02999E-03 2.71859E-03 0.021268 6 1 40.0 0.0 180.0 8.90856E-02 8.49169E-04 2.21134E-03 3.06050E-03 2.83422E-03 0.024823 6 4 40.0 45.0 135.0 9.05743E-02 8.52095E-04 2.24494E-03 3.09704E-03 2.84399E-03 0.024786 6 7 40.0 90.0 90.0 9.63249E-02 8.56164E-04 2.39526E-03 3.25143E-03 2.85757E-03 0.024866 5 1 50.0 0.0 180.0 8.19849E-02 8.99477E-04 2.83800E-03 3.73748E-03 3.00213E-03 0.034616 5 4 50.0 45.0 135.0 8.32107E-02 8.98079E-04 2.88661E-03 3.78468E-03 2.99746E-03 0.034690 5 7 50.0 90.0 90.0 8.79952E-02 9.02905E-04 3.05542E-03 3.95833E-03 3.01357E-03 0.034723 4 1 60.0 0.0 180.0 7.46068E-02 9.29345E-04 4.63693E-03 5.56628E-03 3.10182E-03 0.062152 4 4 60.0 45.0 135.0 7.55923E-02 9.26438E-04 4.68684E-03 5.61328E-03 3.09212E-03 0.062002 4 7 60.0 90.0 90.0 7.94347E-02 9.40917E-04 4.96420E-03 5.90511E-03 3.14044E-03 0.062494 3 1 70.0 0.0 180.0 6.69847E-02 9.12413E-04 9.21595E-03 1.01284E-02 3.04531E-03 0.137583 3 4 70.0 45.0 135.0 6.77670E-02 9.18257E-04 9.35454E-03 1.02728E-02 3.06481E-03 0.138040 3 7 70.0 90.0 90.0 7.07889E-02 9.28949E-04 9.93609E-03 1.08650E-02 3.10050E-03 0.140362 2 1 80.0 0.0 180.0 5.92111E-02 8.22825E-04 1.88006E-02 1.96234E-02 2.74630E-03 0.317518 2 4 80.0 45.0 135.0 5.98285E-02 8.25328E-04 1.94087E-02 2.02341E-02 2.75465E-03 0.324406 2 7 80.0 90.0 90.0 6.21751E-02 8.30284E-04 2.04617E-02 2.12920E-02 2.77119E-03 0.329098 1 1 87.5 0.0 180.0 5.33676E-02 6.96920E-04 3.12796E-02 3.19765E-02 2.32607E-03 0.586116 1 4 87.5 45.0 135.0 5.38845E-02 6.63713E-04 3.29142E-02 3.35779E-02 2.21524E-03 0.610829 1 7 87.5 90.0 90.0 5.58160E-02 7.34745E-04 3.42593E-02 3.49941E-02 2.45231E-03 0.613790 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 415.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 3.062E-03 1.182E-01 4.267E-02 4.541E-02 5.077E-02 1.022E-02 6.142E+00 7.525E-04 2.512E-03 1 0.00 0.00 1.394E-03 2.085E-01 4.638E-03 4.880E-03 5.086E-03 4.844E-03 5.084E+00 3 11.55 5.00 2.151E-04 3.027E-02 1.619E-03 1.682E-03 1.770E-03 5.035E-03 6.230E+00 5 23.11 10.00 2.917E-05 4.017E-03 2.302E-04 2.346E-04 2.397E-04 5.047E-03 6.285E+00 7 34.66 15.00 3.923E-06 5.374E-04 3.140E-05 3.166E-05 3.194E-05 5.048E-03 6.292E+00 9 46.21 20.00 5.270E-07 7.211E-05 4.241E-06 4.256E-06 4.271E-06 5.048E-03 6.293E+00 11 57.76 25.00 7.077E-08 9.682E-06 5.707E-07 5.716E-07 5.724E-07 5.048E-03 6.293E+00 13 69.32 30.00 9.503E-09 1.300E-06 7.671E-08 7.675E-08 7.680E-08 5.048E-03 6.293E+00 15 80.87 35.00 1.276E-09 1.746E-07 1.030E-08 1.031E-08 1.031E-08 5.048E-03 6.293E+00 17 92.42 40.00 1.714E-10 2.344E-08 1.384E-09 1.384E-09 1.384E-09 5.048E-03 6.293E+00 19 103.97 45.00 2.301E-11 3.148E-09 1.858E-10 1.858E-10 1.859E-10 5.048E-03 6.293E+00 21 115.53 50.00 3.090E-12 4.227E-10 2.496E-11 2.496E-11 2.496E-11 5.048E-03 6.293E+00 Waveband 2 of 30 completed in 21.7 sec. * * * * * Output for wavelength band 3 (420.0 to 430.0 nm; nominal wavelength = 425.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 59.2 m at 425.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 420.0 nm to 430.0 nm: Ed(diffuse) = 4.082E-01 Ed(direct) = 7.412E-01 Ed(total) = 1.149E+00 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 2.873E-01 Ed(direct) = 0.000E+00 Ed(total) = 2.873E-01 Absorption Coefficients of Individual Components at 425.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0048 0.1957 0.0000 0.0481 0.2486 3 11.501 5.000 0.0048 0.1957 0.0000 0.0481 0.2486 5 23.002 10.000 0.0048 0.1957 0.0000 0.0481 0.2486 7 34.503 15.000 0.0048 0.1957 0.0000 0.0481 0.2486 9 46.004 20.000 0.0048 0.1957 0.0000 0.0481 0.2486 11 57.505 25.000 0.0048 0.1957 0.0000 0.0481 0.2486 13 69.006 30.000 0.0048 0.1957 0.0000 0.0481 0.2486 15 80.507 35.000 0.0048 0.1957 0.0000 0.0481 0.2486 17 92.008 40.000 0.0048 0.1957 0.0000 0.0481 0.2486 19 103.509 45.000 0.0048 0.1957 0.0000 0.0481 0.2486 21 115.010 50.000 0.0048 0.1957 0.0000 0.0481 0.2486 Scattering Coefficients of Individual Components at 425.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0058 0.4797 1.5661 0.0000 2.0516 3 11.501 5.000 0.0058 0.4797 1.5661 0.0000 2.0516 5 23.002 10.000 0.0058 0.4797 1.5661 0.0000 2.0516 7 34.503 15.000 0.0058 0.4797 1.5661 0.0000 2.0516 9 46.004 20.000 0.0058 0.4797 1.5661 0.0000 2.0516 11 57.505 25.000 0.0058 0.4797 1.5661 0.0000 2.0516 13 69.006 30.000 0.0058 0.4797 1.5661 0.0000 2.0516 15 80.507 35.000 0.0058 0.4797 1.5661 0.0000 2.0516 17 92.008 40.000 0.0058 0.4797 1.5661 0.0000 2.0516 19 103.509 45.000 0.0058 0.4797 1.5661 0.0000 2.0516 21 115.010 50.000 0.0058 0.4797 1.5661 0.0000 2.0516 Backscattering Coefficients of Individual Components at 425.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00291 0.00672 0.00276 0.00000 0.01240 3 11.501 5.000 0.00291 0.00672 0.00276 0.00000 0.01240 5 23.002 10.000 0.00291 0.00672 0.00276 0.00000 0.01240 7 34.503 15.000 0.00291 0.00672 0.00276 0.00000 0.01240 9 46.004 20.000 0.00291 0.00672 0.00276 0.00000 0.01240 11 57.505 25.000 0.00291 0.00672 0.00276 0.00000 0.01240 13 69.006 30.000 0.00291 0.00672 0.00276 0.00000 0.01240 15 80.507 35.000 0.00291 0.00672 0.00276 0.00000 0.01240 17 92.008 40.000 0.00291 0.00672 0.00276 0.00000 0.01240 19 103.509 45.000 0.00291 0.00672 0.00276 0.00000 0.01240 21 115.010 50.000 0.00291 0.00672 0.00276 0.00000 0.01240 Summary of Inherent Optical Properties at 425.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2486 2.0516 2.3002 0.8919 0.01240 0.00604 3 11.501 5.000 0.2486 2.0516 2.3002 0.8919 0.01240 0.00604 5 23.002 10.000 0.2486 2.0516 2.3002 0.8919 0.01240 0.00604 7 34.503 15.000 0.2486 2.0516 2.3002 0.8919 0.01240 0.00604 9 46.004 20.000 0.2486 2.0516 2.3002 0.8919 0.01240 0.00604 11 57.505 25.000 0.2486 2.0516 2.3002 0.8919 0.01240 0.00604 13 69.006 30.000 0.2486 2.0516 2.3002 0.8919 0.01240 0.00604 15 80.507 35.000 0.2486 2.0516 2.3002 0.8919 0.01240 0.00604 17 92.008 40.000 0.2486 2.0516 2.3002 0.8919 0.01240 0.00604 19 103.509 45.000 0.2486 2.0516 2.3002 0.8919 0.01240 0.00604 21 115.010 50.000 0.2486 2.0516 2.3002 0.8919 0.01240 0.00604 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5262E-01 8 20.00 8.3502E-01 7 30.00 6.7503E-01 6 40.00 5.0679E-01 5 50.00 3.5694E-01 4 60.00 2.3900E-01 3 70.00 1.5462E-01 2 80.00 9.8941E-02 1 87.50 6.9884E-02 1 92.50 5.3656E-02 2 100.00 3.8338E-02 3 110.00 2.5876E-02 4 120.00 1.8237E-02 5 130.00 1.3633E-02 6 140.00 1.0861E-02 7 150.00 9.1996E-03 8 160.00 8.2324E-03 9 170.00 7.7267E-03 10 180.00 7.5535E-03 Asymptotic AOP values are MUu(inf) = 0.3354 MUd(inf) = 0.7060 MU(inf) = 0.6386 R(inf) = 0.0329 Lu(inf)/Ed(inf) = 0.005157 (1/sr) k(inf) = 0.3893 (1/m) absorp(check) = 0.2486 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 425.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 6.6606E-02 5.0923E-01 5.7583E-01 1.8105E-02 2.8735E-01 0.2718 0.5643 0.4676 6.3008E-02 1 0.00 0.00 1.7640E-02 3.3766E-01 3.5530E-01 6.9997E-03 2.7624E-01 0.3968 0.8181 0.7578 2.5340E-02 3 11.50 5.00 4.1946E-03 6.1329E-02 6.5524E-02 1.4161E-03 4.3660E-02 0.3376 0.7119 0.6447 3.2435E-02 5 23.00 10.00 6.1460E-04 8.8946E-03 9.5092E-03 2.0634E-04 6.2868E-03 0.3357 0.7068 0.6394 3.2822E-02 7 34.50 15.00 8.8084E-05 1.2731E-03 1.3612E-03 2.9552E-05 8.9898E-04 0.3355 0.7061 0.6387 3.2873E-02 9 46.00 20.00 1.2587E-05 1.8189E-04 1.9448E-04 4.2224E-06 1.2841E-04 0.3355 0.7060 0.6386 3.2882E-02 11 57.51 25.00 1.7977E-06 2.5977E-05 2.7775E-05 6.0303E-07 1.8339E-05 0.3355 0.7060 0.6386 3.2882E-02 13 69.01 30.00 2.5673E-07 3.7098E-06 3.9665E-06 8.6118E-08 2.6190E-06 0.3354 0.7060 0.6386 3.2882E-02 15 80.51 35.00 3.6662E-08 5.2979E-07 5.6645E-07 1.2298E-08 3.7402E-07 0.3354 0.7060 0.6386 3.2881E-02 17 92.01 40.00 5.2355E-09 7.5658E-08 8.0894E-08 1.7562E-09 5.3413E-08 0.3354 0.7060 0.6386 3.2880E-02 19 103.51 45.00 7.4763E-10 1.0804E-08 1.1552E-08 2.5079E-10 7.6275E-09 0.3354 0.7060 0.6386 3.2879E-02 21 115.01 50.00 1.0677E-10 1.5430E-09 1.6497E-09 3.5814E-11 1.0893E-09 0.3354 0.7060 0.6386 3.2878E-02 K-functions (units of 1/meter) at 425.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.08768 0.24840 0.24041 0.14661 0.32354 0.32815 0.29358 5.000 5.010 5.005 0.37609 0.38161 0.38126 0.37914 0.38533 0.38554 0.38411 10.000 10.010 10.005 0.38771 0.38828 0.38824 0.38801 0.38870 0.38872 0.38856 15.000 15.010 15.005 0.38898 0.38908 0.38907 0.38904 0.38915 0.38915 0.38913 20.000 20.010 20.005 0.38921 0.38922 0.38922 0.38922 0.38923 0.38923 0.38924 25.000 25.010 25.005 0.38925 0.38924 0.38924 0.38925 0.38925 0.38925 0.38925 30.000 30.010 30.005 0.38926 0.38925 0.38925 0.38926 0.38925 0.38925 0.38926 35.000 35.010 35.005 0.38924 0.38925 0.38925 0.38925 0.38925 0.38925 0.38926 40.000 40.010 40.005 0.38925 0.38925 0.38925 0.38925 0.38925 0.38925 0.38926 45.000 45.010 45.005 0.38926 0.38925 0.38925 0.38926 0.38925 0.38925 0.38926 50.000 50.010 50.005 0.38924 0.38925 0.38925 0.38925 0.38925 0.38925 0.38926 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 425.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.13365E-01 7.37082E-04 2.21474E-03 2.95182E-03 2.56511E-03 0.019536 9 1 10.0 0.0 180.0 1.04947E-01 7.49982E-04 2.07319E-03 2.82317E-03 2.61001E-03 0.019755 9 4 10.0 45.0 135.0 1.06458E-01 7.48412E-04 2.10276E-03 2.85118E-03 2.60454E-03 0.019752 9 7 10.0 90.0 90.0 1.11205E-01 7.50099E-04 2.19044E-03 2.94053E-03 2.61041E-03 0.019697 8 1 20.0 0.0 180.0 9.84955E-02 7.67664E-04 1.98051E-03 2.74817E-03 2.67154E-03 0.020108 8 4 20.0 45.0 135.0 1.00258E-01 7.62788E-04 2.01755E-03 2.78033E-03 2.65457E-03 0.020123 8 7 20.0 90.0 90.0 1.06475E-01 7.67101E-04 2.12764E-03 2.89475E-03 2.66958E-03 0.019983 7 1 30.0 0.0 180.0 9.20229E-02 7.94953E-04 1.96087E-03 2.75582E-03 2.76651E-03 0.021309 7 4 30.0 45.0 135.0 9.36819E-02 7.97788E-04 1.99885E-03 2.79664E-03 2.77637E-03 0.021337 7 7 30.0 90.0 90.0 9.99062E-02 7.99905E-04 2.12479E-03 2.92469E-03 2.78374E-03 0.021268 6 1 40.0 0.0 180.0 8.54391E-02 8.35007E-04 2.12082E-03 2.95583E-03 2.90590E-03 0.024823 6 4 40.0 45.0 135.0 8.68669E-02 8.38033E-04 2.15305E-03 2.99108E-03 2.91643E-03 0.024786 6 7 40.0 90.0 90.0 9.23821E-02 8.42400E-04 2.29722E-03 3.13962E-03 2.93163E-03 0.024866 5 1 50.0 0.0 180.0 7.86290E-02 8.85884E-04 2.72184E-03 3.60772E-03 3.08295E-03 0.034616 5 4 50.0 45.0 135.0 7.98047E-02 8.84684E-04 2.76845E-03 3.65313E-03 3.07878E-03 0.034690 5 7 50.0 90.0 90.0 8.43933E-02 8.89874E-04 2.93036E-03 3.82023E-03 3.09684E-03 0.034723 4 1 60.0 0.0 180.0 7.15529E-02 9.16633E-04 4.44713E-03 5.36377E-03 3.18996E-03 0.062152 4 4 60.0 45.0 135.0 7.24981E-02 9.13961E-04 4.49500E-03 5.40896E-03 3.18066E-03 0.062002 4 7 60.0 90.0 90.0 7.61833E-02 9.28733E-04 4.76100E-03 5.68973E-03 3.23207E-03 0.062494 3 1 70.0 0.0 180.0 6.42429E-02 9.01097E-04 8.83872E-03 9.73982E-03 3.13590E-03 0.137583 3 4 70.0 45.0 135.0 6.49931E-02 9.07064E-04 8.97164E-03 9.87871E-03 3.15666E-03 0.138040 3 7 70.0 90.0 90.0 6.78913E-02 9.18136E-04 9.52938E-03 1.04475E-02 3.19520E-03 0.140362 2 1 80.0 0.0 180.0 5.67874E-02 8.13382E-04 1.80311E-02 1.88444E-02 2.83064E-03 0.317518 2 4 80.0 45.0 135.0 5.73795E-02 8.16044E-04 1.86143E-02 1.94303E-02 2.83990E-03 0.324406 2 7 80.0 90.0 90.0 5.96301E-02 8.21391E-04 1.96242E-02 2.04456E-02 2.85851E-03 0.329098 1 1 87.5 0.0 180.0 5.11831E-02 6.89322E-04 2.99992E-02 3.06886E-02 2.39890E-03 0.586116 1 4 87.5 45.0 135.0 5.16789E-02 6.56617E-04 3.15670E-02 3.22236E-02 2.28508E-03 0.610829 1 7 87.5 90.0 90.0 5.35313E-02 7.27285E-04 3.28570E-02 3.35843E-02 2.53102E-03 0.613790 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 425.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 2.952E-03 1.134E-01 4.094E-02 4.356E-02 4.870E-02 1.027E-02 6.134E+00 7.371E-04 2.565E-03 1 0.00 0.00 1.366E-03 1.999E-01 4.569E-03 4.810E-03 5.015E-03 4.944E-03 5.125E+00 3 11.50 5.00 2.247E-04 3.068E-02 1.707E-03 1.775E-03 1.868E-03 5.147E-03 6.301E+00 5 23.00 10.00 3.244E-05 4.322E-03 2.588E-04 2.639E-04 2.696E-04 5.160E-03 6.361E+00 7 34.50 15.00 4.640E-06 6.146E-04 3.757E-05 3.789E-05 3.822E-05 5.161E-03 6.369E+00 9 46.00 20.00 6.628E-07 8.770E-05 5.396E-06 5.416E-06 5.436E-06 5.161E-03 6.371E+00 11 57.51 25.00 9.465E-08 1.252E-05 7.724E-07 7.736E-07 7.748E-07 5.161E-03 6.371E+00 13 69.01 30.00 1.352E-08 1.788E-06 1.104E-07 1.105E-07 1.105E-07 5.161E-03 6.371E+00 15 80.51 35.00 1.930E-09 2.554E-07 1.577E-08 1.578E-08 1.578E-08 5.161E-03 6.371E+00 17 92.01 40.00 2.756E-10 3.647E-08 2.253E-09 2.253E-09 2.253E-09 5.160E-03 6.372E+00 19 103.51 45.00 3.936E-11 5.208E-09 3.217E-10 3.217E-10 3.218E-10 5.160E-03 6.372E+00 21 115.01 50.00 5.621E-12 7.437E-10 4.595E-11 4.595E-11 4.595E-11 5.160E-03 6.372E+00 Waveband 3 of 30 completed in 21.5 sec. * * * * * Output for wavelength band 4 (430.0 to 440.0 nm; nominal wavelength = 435.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 59.2 m at 435.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 430.0 nm to 440.0 nm: Ed(diffuse) = 4.073E-01 Ed(direct) = 7.763E-01 Ed(total) = 1.184E+00 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 2.959E-01 Ed(direct) = 0.000E+00 Ed(total) = 2.959E-01 Absorption Coefficients of Individual Components at 435.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0053 0.1973 0.0000 0.0418 0.2443 3 11.477 5.000 0.0053 0.1973 0.0000 0.0418 0.2443 5 22.954 10.000 0.0053 0.1973 0.0000 0.0418 0.2443 7 34.431 15.000 0.0053 0.1973 0.0000 0.0418 0.2443 9 45.908 20.000 0.0053 0.1973 0.0000 0.0418 0.2443 11 57.385 25.000 0.0053 0.1973 0.0000 0.0418 0.2443 13 68.862 30.000 0.0053 0.1973 0.0000 0.0418 0.2443 15 80.339 35.000 0.0053 0.1973 0.0000 0.0418 0.2443 17 91.816 40.000 0.0053 0.1973 0.0000 0.0418 0.2443 19 103.294 45.000 0.0053 0.1973 0.0000 0.0418 0.2443 21 114.771 50.000 0.0053 0.1973 0.0000 0.0418 0.2443 Scattering Coefficients of Individual Components at 435.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0053 0.4797 1.5661 0.0000 2.0511 3 11.477 5.000 0.0053 0.4797 1.5661 0.0000 2.0511 5 22.954 10.000 0.0053 0.4797 1.5661 0.0000 2.0511 7 34.431 15.000 0.0053 0.4797 1.5661 0.0000 2.0511 9 45.908 20.000 0.0053 0.4797 1.5661 0.0000 2.0511 11 57.385 25.000 0.0053 0.4797 1.5661 0.0000 2.0511 13 68.862 30.000 0.0053 0.4797 1.5661 0.0000 2.0511 15 80.339 35.000 0.0053 0.4797 1.5661 0.0000 2.0511 17 91.816 40.000 0.0053 0.4797 1.5661 0.0000 2.0511 19 103.294 45.000 0.0053 0.4797 1.5661 0.0000 2.0511 21 114.771 50.000 0.0053 0.4797 1.5661 0.0000 2.0511 Backscattering Coefficients of Individual Components at 435.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00264 0.00672 0.00276 0.00000 0.01212 3 11.477 5.000 0.00264 0.00672 0.00276 0.00000 0.01212 5 22.954 10.000 0.00264 0.00672 0.00276 0.00000 0.01212 7 34.431 15.000 0.00264 0.00672 0.00276 0.00000 0.01212 9 45.908 20.000 0.00264 0.00672 0.00276 0.00000 0.01212 11 57.385 25.000 0.00264 0.00672 0.00276 0.00000 0.01212 13 68.862 30.000 0.00264 0.00672 0.00276 0.00000 0.01212 15 80.339 35.000 0.00264 0.00672 0.00276 0.00000 0.01212 17 91.816 40.000 0.00264 0.00672 0.00276 0.00000 0.01212 19 103.294 45.000 0.00264 0.00672 0.00276 0.00000 0.01212 21 114.771 50.000 0.00264 0.00672 0.00276 0.00000 0.01212 Summary of Inherent Optical Properties at 435.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2443 2.0511 2.2954 0.8935 0.01212 0.00591 3 11.477 5.000 0.2443 2.0511 2.2954 0.8935 0.01212 0.00591 5 22.954 10.000 0.2443 2.0511 2.2954 0.8935 0.01212 0.00591 7 34.431 15.000 0.2443 2.0511 2.2954 0.8935 0.01212 0.00591 9 45.908 20.000 0.2443 2.0511 2.2954 0.8935 0.01212 0.00591 11 57.385 25.000 0.2443 2.0511 2.2954 0.8935 0.01212 0.00591 13 68.862 30.000 0.2443 2.0511 2.2954 0.8935 0.01212 0.00591 15 80.339 35.000 0.2443 2.0511 2.2954 0.8935 0.01212 0.00591 17 91.816 40.000 0.2443 2.0511 2.2954 0.8935 0.01212 0.00591 19 103.294 45.000 0.2443 2.0511 2.2954 0.8935 0.01212 0.00591 21 114.771 50.000 0.2443 2.0511 2.2954 0.8935 0.01212 0.00591 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5304E-01 8 20.00 8.3636E-01 7 30.00 6.7736E-01 6 40.00 5.0976E-01 5 50.00 3.6004E-01 4 60.00 2.4178E-01 3 70.00 1.5687E-01 2 80.00 1.0062E-01 1 87.50 7.1168E-02 1 92.50 5.4672E-02 2 100.00 3.9075E-02 3 110.00 2.6359E-02 4 120.00 1.8545E-02 5 130.00 1.3828E-02 6 140.00 1.0983E-02 7 150.00 9.2758E-03 8 160.00 8.2813E-03 9 170.00 7.7611E-03 10 180.00 7.5829E-03 Asymptotic AOP values are MUu(inf) = 0.3346 MUd(inf) = 0.7048 MU(inf) = 0.6369 R(inf) = 0.0332 Lu(inf)/Ed(inf) = 0.005151 (1/sr) k(inf) = 0.3837 (1/m) absorp(check) = 0.2444 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 435.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 6.8613E-02 5.2440E-01 5.9301E-01 1.8652E-02 2.9591E-01 0.2718 0.5643 0.4675 6.3033E-02 1 0.00 0.00 1.8296E-02 3.4784E-01 3.6614E-01 7.2514E-03 2.8450E-01 0.3963 0.8179 0.7572 2.5488E-02 3 11.48 5.00 4.4972E-03 6.5094E-02 6.9591E-02 1.5151E-03 4.6273E-02 0.3369 0.7109 0.6432 3.2743E-02 5 22.95 10.00 6.7823E-04 9.7133E-03 1.0392E-02 2.2719E-04 6.8539E-03 0.3350 0.7056 0.6377 3.3148E-02 7 34.43 15.00 9.9974E-05 1.4299E-03 1.5299E-03 3.3465E-05 1.0079E-03 0.3347 0.7049 0.6370 3.3202E-02 9 45.91 20.00 1.4691E-05 2.1008E-04 2.2477E-04 4.9169E-06 1.4806E-04 0.3347 0.7048 0.6368 3.3209E-02 11 57.39 25.00 2.1577E-06 3.0854E-05 3.3012E-05 7.2212E-07 2.1745E-05 0.3347 0.7048 0.6368 3.3209E-02 13 68.86 30.00 3.1686E-07 4.5311E-06 4.8480E-06 1.0604E-07 3.1933E-06 0.3347 0.7047 0.6368 3.3207E-02 15 80.34 35.00 4.6531E-08 6.6543E-07 7.1196E-07 1.5572E-08 4.6896E-07 0.3347 0.7047 0.6368 3.3206E-02 17 91.82 40.00 6.8331E-09 9.7722E-08 1.0455E-07 2.2868E-09 6.8869E-08 0.3347 0.7048 0.6368 3.3204E-02 19 103.29 45.00 1.0034E-09 1.4351E-08 1.5354E-08 3.3581E-10 1.0114E-08 0.3347 0.7048 0.6368 3.3203E-02 21 114.77 50.00 1.4735E-10 2.1075E-09 2.2548E-09 4.9313E-11 1.4853E-09 0.3347 0.7048 0.6368 3.3201E-02 K-functions (units of 1/meter) at 435.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.08229 0.24331 0.23526 0.14004 0.31810 0.32277 0.28753 5.000 5.010 5.005 0.37012 0.37581 0.37544 0.37325 0.37964 0.37986 0.37837 10.000 10.010 10.005 0.38206 0.38265 0.38261 0.38237 0.38308 0.38311 0.38294 15.000 15.010 15.005 0.38339 0.38348 0.38347 0.38344 0.38355 0.38356 0.38355 20.000 20.010 20.005 0.38361 0.38362 0.38362 0.38363 0.38364 0.38364 0.38365 25.000 25.010 25.005 0.38366 0.38365 0.38365 0.38366 0.38365 0.38365 0.38367 30.000 30.010 30.005 0.38366 0.38366 0.38366 0.38367 0.38366 0.38366 0.38368 35.000 35.010 35.005 0.38366 0.38366 0.38366 0.38367 0.38366 0.38366 0.38368 40.000 40.010 40.005 0.38367 0.38366 0.38366 0.38367 0.38366 0.38366 0.38368 45.000 45.010 45.005 0.38366 0.38366 0.38366 0.38367 0.38366 0.38366 0.38367 50.000 50.010 50.005 0.38367 0.38366 0.38366 0.38367 0.38366 0.38366 0.38367 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 435.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.16742E-01 7.57877E-04 2.28071E-03 3.03859E-03 2.56119E-03 0.019536 9 1 10.0 0.0 180.0 1.08073E-01 7.71290E-04 2.13495E-03 2.90624E-03 2.60651E-03 0.019755 9 4 10.0 45.0 135.0 1.09629E-01 7.69712E-04 2.16540E-03 2.93511E-03 2.60118E-03 0.019752 9 7 10.0 90.0 90.0 1.14518E-01 7.71537E-04 2.25568E-03 3.02722E-03 2.60735E-03 0.019697 8 1 20.0 0.0 180.0 1.01430E-01 7.89964E-04 2.03951E-03 2.82947E-03 2.66962E-03 0.020108 8 4 20.0 45.0 135.0 1.03245E-01 7.85006E-04 2.07764E-03 2.86265E-03 2.65287E-03 0.020123 8 7 20.0 90.0 90.0 1.09647E-01 7.89592E-04 2.19102E-03 2.98062E-03 2.66837E-03 0.019983 7 1 30.0 0.0 180.0 9.47641E-02 8.18718E-04 2.01928E-03 2.83800E-03 2.76679E-03 0.021309 7 4 30.0 45.0 135.0 9.64725E-02 8.21721E-04 2.05840E-03 2.88012E-03 2.77694E-03 0.021337 7 7 30.0 90.0 90.0 1.02882E-01 8.24109E-04 2.18808E-03 3.01219E-03 2.78501E-03 0.021268 6 1 40.0 0.0 180.0 8.79841E-02 8.61154E-04 2.18400E-03 3.04515E-03 2.91020E-03 0.024823 6 4 40.0 45.0 135.0 8.94545E-02 8.64388E-04 2.21718E-03 3.08157E-03 2.92113E-03 0.024786 6 7 40.0 90.0 90.0 9.51340E-02 8.69175E-04 2.36565E-03 3.23482E-03 2.93731E-03 0.024866 5 1 50.0 0.0 180.0 8.09712E-02 9.14808E-04 2.80292E-03 3.71772E-03 3.09152E-03 0.034616 5 4 50.0 45.0 135.0 8.21819E-02 9.13706E-04 2.85092E-03 3.76462E-03 3.08780E-03 0.034690 5 7 50.0 90.0 90.0 8.69073E-02 9.19409E-04 3.01765E-03 3.93705E-03 3.10707E-03 0.034723 4 1 60.0 0.0 180.0 7.36844E-02 9.47718E-04 4.57961E-03 5.52732E-03 3.20274E-03 0.062152 4 4 60.0 45.0 135.0 7.46577E-02 9.45107E-04 4.62889E-03 5.57400E-03 3.19392E-03 0.062002 4 7 60.0 90.0 90.0 7.84526E-02 9.60769E-04 4.90282E-03 5.86359E-03 3.24684E-03 0.062494 3 1 70.0 0.0 180.0 6.61566E-02 9.32772E-04 9.10201E-03 1.00348E-02 3.15223E-03 0.137583 3 4 70.0 45.0 135.0 6.69291E-02 9.39103E-04 9.23889E-03 1.01780E-02 3.17363E-03 0.138040 3 7 70.0 90.0 90.0 6.99137E-02 9.50977E-04 9.81324E-03 1.07642E-02 3.21375E-03 0.140362 2 1 80.0 0.0 180.0 5.84790E-02 8.42771E-04 1.85682E-02 1.94109E-02 2.84808E-03 0.317518 2 4 80.0 45.0 135.0 5.90888E-02 8.45679E-04 1.91688E-02 2.00145E-02 2.85791E-03 0.324406 2 7 80.0 90.0 90.0 6.14064E-02 8.51580E-04 2.02087E-02 2.10603E-02 2.87785E-03 0.329098 1 1 87.5 0.0 180.0 5.27078E-02 7.14758E-04 3.08929E-02 3.16076E-02 2.41547E-03 0.586116 1 4 87.5 45.0 135.0 5.32183E-02 6.80956E-04 3.25073E-02 3.31882E-02 2.30124E-03 0.610829 1 7 87.5 90.0 90.0 5.51259E-02 7.54572E-04 3.38358E-02 3.45903E-02 2.55002E-03 0.613790 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 435.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 3.039E-03 1.167E-01 4.216E-02 4.486E-02 5.016E-02 1.027E-02 6.138E+00 7.579E-04 2.561E-03 1 0.00 0.00 1.404E-03 2.059E-01 4.740E-03 4.991E-03 5.206E-03 4.936E-03 5.164E+00 3 11.48 5.00 2.381E-04 3.240E-02 1.831E-03 1.904E-03 2.005E-03 5.144E-03 6.365E+00 5 22.95 10.00 3.535E-05 4.690E-03 2.859E-04 2.916E-04 2.979E-04 5.157E-03 6.427E+00 7 34.43 15.00 5.200E-06 6.857E-04 4.269E-05 4.306E-05 4.345E-05 5.159E-03 6.436E+00 9 45.91 20.00 7.638E-07 1.006E-04 6.307E-06 6.330E-06 6.353E-06 5.159E-03 6.438E+00 11 57.39 25.00 1.122E-07 1.477E-05 9.283E-07 9.298E-07 9.312E-07 5.158E-03 6.438E+00 13 68.86 30.00 1.647E-08 2.169E-06 1.365E-07 1.365E-07 1.366E-07 5.158E-03 6.438E+00 15 80.34 35.00 2.419E-09 3.186E-07 2.005E-08 2.005E-08 2.006E-08 5.157E-03 6.439E+00 17 91.82 40.00 3.551E-10 4.678E-08 2.944E-09 2.945E-09 2.945E-09 5.157E-03 6.439E+00 19 103.29 45.00 5.215E-11 6.871E-09 4.324E-10 4.324E-10 4.324E-10 5.156E-03 6.439E+00 21 114.77 50.00 7.658E-12 1.009E-09 6.350E-11 6.350E-11 6.350E-11 5.156E-03 6.439E+00 Waveband 4 of 30 completed in 21.1 sec. * * * * * Output for wavelength band 5 (440.0 to 450.0 nm; nominal wavelength = 445.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 59.2 m at 445.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 440.0 nm to 450.0 nm: Ed(diffuse) = 4.682E-01 Ed(direct) = 9.292E-01 Ed(total) = 1.397E+00 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 3.494E-01 Ed(direct) = 0.000E+00 Ed(total) = 3.494E-01 Absorption Coefficients of Individual Components at 445.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0075 0.1818 0.0000 0.0363 0.2257 3 11.381 5.000 0.0075 0.1818 0.0000 0.0363 0.2257 5 22.762 10.000 0.0075 0.1818 0.0000 0.0363 0.2257 7 34.144 15.000 0.0075 0.1818 0.0000 0.0363 0.2257 9 45.525 20.000 0.0075 0.1818 0.0000 0.0363 0.2257 11 56.906 25.000 0.0075 0.1818 0.0000 0.0363 0.2257 13 68.287 30.000 0.0075 0.1818 0.0000 0.0363 0.2257 15 79.668 35.000 0.0075 0.1818 0.0000 0.0363 0.2257 17 91.050 40.000 0.0075 0.1818 0.0000 0.0363 0.2257 19 102.431 45.000 0.0075 0.1818 0.0000 0.0363 0.2257 21 113.812 50.000 0.0075 0.1818 0.0000 0.0363 0.2257 Scattering Coefficients of Individual Components at 445.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0048 0.4797 1.5661 0.0000 2.0506 3 11.381 5.000 0.0048 0.4797 1.5661 0.0000 2.0506 5 22.762 10.000 0.0048 0.4797 1.5661 0.0000 2.0506 7 34.144 15.000 0.0048 0.4797 1.5661 0.0000 2.0506 9 45.525 20.000 0.0048 0.4797 1.5661 0.0000 2.0506 11 56.906 25.000 0.0048 0.4797 1.5661 0.0000 2.0506 13 68.287 30.000 0.0048 0.4797 1.5661 0.0000 2.0506 15 79.668 35.000 0.0048 0.4797 1.5661 0.0000 2.0506 17 91.050 40.000 0.0048 0.4797 1.5661 0.0000 2.0506 19 102.431 45.000 0.0048 0.4797 1.5661 0.0000 2.0506 21 113.812 50.000 0.0048 0.4797 1.5661 0.0000 2.0506 Backscattering Coefficients of Individual Components at 445.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00239 0.00672 0.00276 0.00000 0.01187 3 11.381 5.000 0.00239 0.00672 0.00276 0.00000 0.01187 5 22.762 10.000 0.00239 0.00672 0.00276 0.00000 0.01187 7 34.144 15.000 0.00239 0.00672 0.00276 0.00000 0.01187 9 45.525 20.000 0.00239 0.00672 0.00276 0.00000 0.01187 11 56.906 25.000 0.00239 0.00672 0.00276 0.00000 0.01187 13 68.287 30.000 0.00239 0.00672 0.00276 0.00000 0.01187 15 79.668 35.000 0.00239 0.00672 0.00276 0.00000 0.01187 17 91.050 40.000 0.00239 0.00672 0.00276 0.00000 0.01187 19 102.431 45.000 0.00239 0.00672 0.00276 0.00000 0.01187 21 113.812 50.000 0.00239 0.00672 0.00276 0.00000 0.01187 Summary of Inherent Optical Properties at 445.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2257 2.0506 2.2762 0.9009 0.01187 0.00579 3 11.381 5.000 0.2257 2.0506 2.2762 0.9009 0.01187 0.00579 5 22.762 10.000 0.2257 2.0506 2.2762 0.9009 0.01187 0.00579 7 34.144 15.000 0.2257 2.0506 2.2762 0.9009 0.01187 0.00579 9 45.525 20.000 0.2257 2.0506 2.2762 0.9009 0.01187 0.00579 11 56.906 25.000 0.2257 2.0506 2.2762 0.9009 0.01187 0.00579 13 68.287 30.000 0.2257 2.0506 2.2762 0.9009 0.01187 0.00579 15 79.668 35.000 0.2257 2.0506 2.2762 0.9009 0.01187 0.00579 17 91.050 40.000 0.2257 2.0506 2.2762 0.9009 0.01187 0.00579 19 102.431 45.000 0.2257 2.0506 2.2762 0.9009 0.01187 0.00579 21 113.812 50.000 0.2257 2.0506 2.2762 0.9009 0.01187 0.00579 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5492E-01 8 20.00 8.4250E-01 7 30.00 6.8815E-01 6 40.00 5.2371E-01 5 50.00 3.7483E-01 4 60.00 2.5540E-01 3 70.00 1.6820E-01 2 80.00 1.0943E-01 1 87.50 7.8145E-02 1 92.50 6.0397E-02 2 100.00 4.3462E-02 3 110.00 2.9499E-02 4 120.00 2.0812E-02 5 130.00 1.5510E-02 6 140.00 1.2285E-02 7 150.00 1.0337E-02 8 160.00 9.1959E-03 9 170.00 8.5970E-03 10 180.00 8.3917E-03 Asymptotic AOP values are MUu(inf) = 0.3355 MUd(inf) = 0.6987 MU(inf) = 0.6262 R(inf) = 0.0362 Lu(inf)/Ed(inf) = 0.005567 (1/sr) k(inf) = 0.3604 (1/m) absorp(check) = 0.2257 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 445.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 8.1580E-02 6.1911E-01 7.0069E-01 2.2304E-02 3.4935E-01 0.2734 0.5643 0.4668 6.3844E-02 1 0.00 0.00 2.3366E-02 4.1215E-01 4.3552E-01 9.2951E-03 3.3634E-01 0.3978 0.8160 0.7509 2.7636E-02 3 11.38 5.00 6.4996E-03 8.7326E-02 9.3825E-02 2.1975E-03 6.1625E-02 0.3381 0.7057 0.6334 3.5660E-02 5 22.76 10.00 1.1048E-03 1.4671E-02 1.5775E-02 3.7114E-04 1.0265E-02 0.3359 0.6997 0.6272 3.6156E-02 7 34.14 15.00 1.8305E-04 2.4271E-03 2.6102E-03 6.1441E-05 1.6962E-03 0.3356 0.6988 0.6263 3.6223E-02 9 45.52 20.00 3.0220E-05 4.0062E-04 4.3084E-04 1.0141E-05 2.7991E-04 0.3356 0.6987 0.6261 3.6231E-02 11 56.91 25.00 4.9859E-06 6.6099E-05 7.1085E-05 1.6731E-06 4.6180E-05 0.3356 0.6987 0.6261 3.6229E-02 13 68.29 30.00 8.2250E-07 1.0905E-05 1.1727E-05 2.7599E-07 7.6187E-06 0.3356 0.6987 0.6261 3.6226E-02 15 79.67 35.00 1.3568E-07 1.7990E-06 1.9347E-06 4.5528E-08 1.2569E-06 0.3355 0.6987 0.6261 3.6223E-02 17 91.05 40.00 2.2383E-08 2.9679E-07 3.1917E-07 7.5104E-09 2.0735E-07 0.3355 0.6987 0.6261 3.6220E-02 19 102.43 45.00 3.6923E-09 4.8961E-08 5.2653E-08 1.2389E-09 3.4207E-08 0.3355 0.6987 0.6261 3.6218E-02 21 113.81 50.00 6.0909E-10 8.0769E-09 8.6860E-09 2.0437E-10 5.6430E-09 0.3355 0.6987 0.6261 3.6217E-02 K-functions (units of 1/meter) at 445.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.07185 0.22364 0.21549 0.12205 0.29563 0.30056 0.26515 5.000 5.010 5.005 0.34550 0.35166 0.35123 0.34892 0.35596 0.35622 0.35457 10.000 10.010 10.005 0.35853 0.35920 0.35915 0.35890 0.35972 0.35976 0.35959 15.000 15.010 15.005 0.36008 0.36018 0.36017 0.36015 0.36027 0.36027 0.36028 20.000 20.010 20.005 0.36034 0.36035 0.36035 0.36036 0.36037 0.36037 0.36040 25.000 25.010 25.005 0.36040 0.36038 0.36039 0.36040 0.36039 0.36039 0.36042 30.000 30.010 30.005 0.36040 0.36039 0.36039 0.36041 0.36039 0.36039 0.36042 35.000 35.010 35.005 0.36042 0.36040 0.36040 0.36041 0.36039 0.36039 0.36042 40.000 40.010 40.005 0.36042 0.36040 0.36040 0.36041 0.36040 0.36040 0.36042 45.000 45.010 45.005 0.36039 0.36039 0.36039 0.36040 0.36040 0.36040 0.36041 50.000 50.010 50.005 0.36042 0.36040 0.36040 0.36041 0.36040 0.36040 0.36041 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 445.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.37827E-01 9.67079E-04 2.69263E-03 3.65971E-03 2.76820E-03 0.019536 9 1 10.0 0.0 180.0 1.27592E-01 9.84497E-04 2.52054E-03 3.50504E-03 2.81806E-03 0.019755 9 4 10.0 45.0 135.0 1.29429E-01 9.82566E-04 2.55649E-03 3.53906E-03 2.81253E-03 0.019752 9 7 10.0 90.0 90.0 1.35201E-01 9.85098E-04 2.66308E-03 3.64818E-03 2.81978E-03 0.019697 8 1 20.0 0.0 180.0 1.19749E-01 1.00933E-03 2.40786E-03 3.41719E-03 2.88915E-03 0.020108 8 4 20.0 45.0 135.0 1.21892E-01 1.00313E-03 2.45289E-03 3.45602E-03 2.87140E-03 0.020123 8 7 20.0 90.0 90.0 1.29450E-01 1.00932E-03 2.58674E-03 3.59606E-03 2.88911E-03 0.019983 7 1 30.0 0.0 180.0 1.11879E-01 1.04739E-03 2.38398E-03 3.43138E-03 2.99810E-03 0.021309 7 4 30.0 45.0 135.0 1.13896E-01 1.05142E-03 2.43016E-03 3.48158E-03 3.00962E-03 0.021337 7 7 30.0 90.0 90.0 1.21464E-01 1.05493E-03 2.58327E-03 3.63819E-03 3.01966E-03 0.021268 6 1 40.0 0.0 180.0 1.03875E-01 1.10385E-03 2.57845E-03 3.68229E-03 3.15970E-03 0.024823 6 4 40.0 45.0 135.0 1.05611E-01 1.10824E-03 2.61763E-03 3.72587E-03 3.17227E-03 0.024786 6 7 40.0 90.0 90.0 1.12316E-01 1.11498E-03 2.79291E-03 3.90789E-03 3.19155E-03 0.024866 5 1 50.0 0.0 180.0 9.55954E-02 1.17440E-03 3.30915E-03 4.48355E-03 3.36166E-03 0.034616 5 4 50.0 45.0 135.0 9.70247E-02 1.17328E-03 3.36582E-03 4.53910E-03 3.35844E-03 0.034690 5 7 50.0 90.0 90.0 1.02604E-01 1.18130E-03 3.56266E-03 4.74396E-03 3.38139E-03 0.034723 4 1 60.0 0.0 180.0 8.69925E-02 1.21816E-03 5.40673E-03 6.62488E-03 3.48689E-03 0.062152 4 4 60.0 45.0 135.0 8.81416E-02 1.21511E-03 5.46492E-03 6.68003E-03 3.47819E-03 0.062002 4 7 60.0 90.0 90.0 9.26219E-02 1.23600E-03 5.78832E-03 7.02432E-03 3.53799E-03 0.062494 3 1 70.0 0.0 180.0 7.81051E-02 1.19975E-03 1.07459E-02 1.19457E-02 3.43422E-03 0.137583 3 4 70.0 45.0 135.0 7.90172E-02 1.20821E-03 1.09075E-02 1.21157E-02 3.45841E-03 0.138040 3 7 70.0 90.0 90.0 8.25407E-02 1.22423E-03 1.15856E-02 1.28098E-02 3.50429E-03 0.140362 2 1 80.0 0.0 180.0 6.90409E-02 1.08421E-03 2.19218E-02 2.30060E-02 3.10349E-03 0.317518 2 4 80.0 45.0 135.0 6.97608E-02 1.08823E-03 2.26308E-02 2.37191E-02 3.11499E-03 0.324406 2 7 80.0 90.0 90.0 7.24970E-02 1.09648E-03 2.38586E-02 2.49551E-02 3.13860E-03 0.329098 1 1 87.5 0.0 180.0 6.22273E-02 9.19142E-04 3.64724E-02 3.73916E-02 2.63099E-03 0.586116 1 4 87.5 45.0 135.0 6.28300E-02 8.75890E-04 3.83784E-02 3.92543E-02 2.50718E-03 0.610829 1 7 87.5 90.0 90.0 6.50822E-02 9.71117E-04 3.99468E-02 4.09179E-02 2.77976E-03 0.613790 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 445.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 3.660E-03 1.378E-01 4.981E-02 5.300E-02 5.926E-02 1.048E-02 6.095E+00 9.671E-04 2.768E-03 1 0.00 0.00 1.792E-03 2.431E-01 6.003E-03 6.321E-03 6.591E-03 5.327E-03 5.188E+00 3 11.38 5.00 3.426E-04 4.242E-02 2.610E-03 2.715E-03 2.859E-03 5.559E-03 6.415E+00 5 22.76 10.00 5.722E-05 6.870E-03 4.599E-04 4.691E-04 4.795E-04 5.574E-03 6.487E+00 7 34.14 15.00 9.456E-06 1.127E-03 7.721E-05 7.790E-05 7.861E-05 5.575E-03 6.497E+00 9 45.52 20.00 1.560E-06 1.858E-04 1.282E-05 1.287E-05 1.291E-05 5.574E-03 6.500E+00 11 56.91 25.00 2.574E-07 3.064E-05 2.119E-06 2.123E-06 2.126E-06 5.573E-03 6.501E+00 13 68.29 30.00 4.245E-08 5.055E-06 3.500E-07 3.502E-07 3.505E-07 5.572E-03 6.501E+00 15 79.67 35.00 7.003E-09 8.339E-07 5.776E-08 5.778E-08 5.779E-08 5.572E-03 6.501E+00 17 91.05 40.00 1.155E-09 1.376E-07 9.530E-09 9.531E-09 9.532E-09 5.571E-03 6.502E+00 19 102.43 45.00 1.905E-10 2.269E-08 1.572E-09 1.572E-09 1.572E-09 5.570E-03 6.502E+00 21 113.81 50.00 3.143E-11 3.744E-09 2.594E-10 2.594E-10 2.594E-10 5.570E-03 6.502E+00 Waveband 5 of 30 completed in 21.0 sec. * * * * * Output for wavelength band 6 (450.0 to 460.0 nm; nominal wavelength = 455.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 59.2 m at 455.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 450.0 nm to 460.0 nm: Ed(diffuse) = 4.888E-01 Ed(direct) = 1.007E+00 Ed(total) = 1.495E+00 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 3.739E-01 Ed(direct) = 0.000E+00 Ed(total) = 3.739E-01 Absorption Coefficients of Individual Components at 455.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0096 0.1631 0.0000 0.0316 0.2043 3 11.272 5.000 0.0096 0.1631 0.0000 0.0316 0.2043 5 22.545 10.000 0.0096 0.1631 0.0000 0.0316 0.2043 7 33.817 15.000 0.0096 0.1631 0.0000 0.0316 0.2043 9 45.089 20.000 0.0096 0.1631 0.0000 0.0316 0.2043 11 56.362 25.000 0.0096 0.1631 0.0000 0.0316 0.2043 13 67.634 30.000 0.0096 0.1631 0.0000 0.0316 0.2043 15 78.906 35.000 0.0096 0.1631 0.0000 0.0316 0.2043 17 90.179 40.000 0.0096 0.1631 0.0000 0.0316 0.2043 19 101.451 45.000 0.0096 0.1631 0.0000 0.0316 0.2043 21 112.723 50.000 0.0096 0.1631 0.0000 0.0316 0.2043 Scattering Coefficients of Individual Components at 455.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0043 0.4797 1.5661 0.0000 2.0501 3 11.272 5.000 0.0043 0.4797 1.5661 0.0000 2.0501 5 22.545 10.000 0.0043 0.4797 1.5661 0.0000 2.0501 7 33.817 15.000 0.0043 0.4797 1.5661 0.0000 2.0501 9 45.089 20.000 0.0043 0.4797 1.5661 0.0000 2.0501 11 56.362 25.000 0.0043 0.4797 1.5661 0.0000 2.0501 13 67.634 30.000 0.0043 0.4797 1.5661 0.0000 2.0501 15 78.906 35.000 0.0043 0.4797 1.5661 0.0000 2.0501 17 90.179 40.000 0.0043 0.4797 1.5661 0.0000 2.0501 19 101.451 45.000 0.0043 0.4797 1.5661 0.0000 2.0501 21 112.723 50.000 0.0043 0.4797 1.5661 0.0000 2.0501 Backscattering Coefficients of Individual Components at 455.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00217 0.00672 0.00276 0.00000 0.01165 3 11.272 5.000 0.00217 0.00672 0.00276 0.00000 0.01165 5 22.545 10.000 0.00217 0.00672 0.00276 0.00000 0.01165 7 33.817 15.000 0.00217 0.00672 0.00276 0.00000 0.01165 9 45.089 20.000 0.00217 0.00672 0.00276 0.00000 0.01165 11 56.362 25.000 0.00217 0.00672 0.00276 0.00000 0.01165 13 67.634 30.000 0.00217 0.00672 0.00276 0.00000 0.01165 15 78.906 35.000 0.00217 0.00672 0.00276 0.00000 0.01165 17 90.179 40.000 0.00217 0.00672 0.00276 0.00000 0.01165 19 101.451 45.000 0.00217 0.00672 0.00276 0.00000 0.01165 21 112.723 50.000 0.00217 0.00672 0.00276 0.00000 0.01165 Summary of Inherent Optical Properties at 455.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2043 2.0501 2.2545 0.9094 0.01165 0.00568 3 11.272 5.000 0.2043 2.0501 2.2545 0.9094 0.01165 0.00568 5 22.545 10.000 0.2043 2.0501 2.2545 0.9094 0.01165 0.00568 7 33.817 15.000 0.2043 2.0501 2.2545 0.9094 0.01165 0.00568 9 45.089 20.000 0.2043 2.0501 2.2545 0.9094 0.01165 0.00568 11 56.362 25.000 0.2043 2.0501 2.2545 0.9094 0.01165 0.00568 13 67.634 30.000 0.2043 2.0501 2.2545 0.9094 0.01165 0.00568 15 78.906 35.000 0.2043 2.0501 2.2545 0.9094 0.01165 0.00568 17 90.179 40.000 0.2043 2.0501 2.2545 0.9094 0.01165 0.00568 19 101.451 45.000 0.2043 2.0501 2.2545 0.9094 0.01165 0.00568 21 112.723 50.000 0.2043 2.0501 2.2545 0.9094 0.01165 0.00568 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5715E-01 8 20.00 8.4983E-01 7 30.00 7.0118E-01 6 40.00 5.4080E-01 5 50.00 3.9327E-01 4 60.00 2.7272E-01 3 70.00 1.8291E-01 2 80.00 1.2110E-01 1 87.50 8.7534E-02 1 92.50 6.8192E-02 2 100.00 4.9529E-02 3 110.00 3.3918E-02 4 120.00 2.4053E-02 5 130.00 1.7948E-02 6 140.00 1.4192E-02 7 150.00 1.1903E-02 8 160.00 1.0553E-02 9 170.00 9.8415E-03 10 180.00 9.5971E-03 Asymptotic AOP values are MUu(inf) = 0.3373 MUd(inf) = 0.6912 MU(inf) = 0.6124 R(inf) = 0.0405 Lu(inf)/Ed(inf) = 0.006187 (1/sr) k(inf) = 0.3337 (1/m) absorp(check) = 0.2043 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 455.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 8.8209E-02 6.6254E-01 7.5075E-01 2.4318E-02 3.7386E-01 0.2757 0.5643 0.4656 6.5047E-02 1 0.00 0.00 2.7709E-02 4.4333E-01 4.7104E-01 1.1087E-02 3.6062E-01 0.4001 0.8134 0.7420 3.0744E-02 3 11.27 5.00 8.8533E-03 1.0830E-01 1.1716E-01 3.0129E-03 7.5737E-02 0.3403 0.6993 0.6207 3.9781E-02 5 22.54 10.00 1.7267E-03 2.0853E-02 2.2580E-02 5.8337E-04 1.4438E-02 0.3379 0.6924 0.6136 4.0404E-02 7 33.82 15.00 3.2727E-04 3.9457E-03 4.2730E-03 1.1045E-04 2.7279E-03 0.3375 0.6914 0.6126 4.0489E-02 9 45.09 20.00 6.1766E-05 7.4455E-04 8.0632E-04 2.0841E-05 5.1461E-04 0.3374 0.6912 0.6124 4.0498E-02 11 56.36 25.00 1.1648E-05 1.4042E-04 1.5207E-04 3.9300E-06 9.7051E-05 0.3374 0.6911 0.6124 4.0494E-02 13 67.63 30.00 2.1964E-06 2.6480E-05 2.8677E-05 7.4102E-07 1.8301E-05 0.3374 0.6911 0.6124 4.0490E-02 15 78.91 35.00 4.1416E-07 4.9935E-06 5.4076E-06 1.3972E-07 3.4512E-06 0.3374 0.6911 0.6124 4.0486E-02 17 90.18 40.00 7.8094E-08 9.4162E-07 1.0197E-06 2.6346E-08 6.5079E-07 0.3374 0.6911 0.6124 4.0483E-02 19 101.45 45.00 1.4725E-08 1.7756E-07 1.9229E-07 4.9677E-09 1.2272E-07 0.3374 0.6911 0.6124 4.0481E-02 21 112.72 50.00 2.7767E-09 3.3482E-08 3.6259E-08 9.3672E-10 2.3141E-08 0.3374 0.6911 0.6124 4.0479E-02 K-functions (units of 1/meter) at 455.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.06451 0.20212 0.19402 0.10365 0.27006 0.27534 0.24023 5.000 5.010 5.005 0.31723 0.32386 0.32336 0.32099 0.32875 0.32907 0.32727 10.000 10.010 10.005 0.33148 0.33224 0.33218 0.33193 0.33287 0.33291 0.33275 15.000 15.010 15.005 0.33328 0.33339 0.33338 0.33337 0.33350 0.33351 0.33354 20.000 20.010 20.005 0.33359 0.33359 0.33359 0.33362 0.33362 0.33362 0.33368 25.000 25.010 25.005 0.33366 0.33364 0.33364 0.33367 0.33365 0.33365 0.33369 30.000 30.010 30.005 0.33367 0.33365 0.33366 0.33367 0.33365 0.33365 0.33369 35.000 35.010 35.005 0.33368 0.33366 0.33366 0.33367 0.33366 0.33366 0.33368 40.000 40.010 40.005 0.33364 0.33365 0.33365 0.33366 0.33366 0.33366 0.33368 45.000 45.010 45.005 0.33367 0.33366 0.33366 0.33367 0.33366 0.33366 0.33367 50.000 50.010 50.005 0.33367 0.33366 0.33366 0.33367 0.33366 0.33366 0.33367 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 455.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.47496E-01 1.15187E-03 2.88153E-03 4.03340E-03 3.08101E-03 0.019536 9 1 10.0 0.0 180.0 1.36543E-01 1.17297E-03 2.69737E-03 3.87034E-03 3.13744E-03 0.019755 9 4 10.0 45.0 135.0 1.38509E-01 1.17077E-03 2.73584E-03 3.90662E-03 3.13157E-03 0.019752 9 7 10.0 90.0 90.0 1.44686E-01 1.17405E-03 2.84991E-03 4.02396E-03 3.14034E-03 0.019697 8 1 20.0 0.0 180.0 1.28150E-01 1.20374E-03 2.57678E-03 3.78053E-03 3.21976E-03 0.020108 8 4 20.0 45.0 135.0 1.30443E-01 1.19652E-03 2.62497E-03 3.82149E-03 3.20043E-03 0.020123 8 7 20.0 90.0 90.0 1.38532E-01 1.20432E-03 2.76822E-03 3.97253E-03 3.22129E-03 0.019983 7 1 30.0 0.0 180.0 1.19728E-01 1.25067E-03 2.55123E-03 3.80190E-03 3.34528E-03 0.021309 7 4 30.0 45.0 135.0 1.21887E-01 1.25571E-03 2.60065E-03 3.85637E-03 3.35877E-03 0.021337 7 7 30.0 90.0 90.0 1.29985E-01 1.26047E-03 2.76450E-03 4.02497E-03 3.37150E-03 0.021268 6 1 40.0 0.0 180.0 1.11162E-01 1.32050E-03 2.75934E-03 4.07984E-03 3.53206E-03 0.024823 6 4 40.0 45.0 135.0 1.13020E-01 1.32607E-03 2.80127E-03 4.12734E-03 3.54695E-03 0.024786 6 7 40.0 90.0 90.0 1.20196E-01 1.33487E-03 2.98884E-03 4.32371E-03 3.57049E-03 0.024866 5 1 50.0 0.0 180.0 1.02302E-01 1.40663E-03 3.54130E-03 4.94793E-03 3.76244E-03 0.034616 5 4 50.0 45.0 135.0 1.03831E-01 1.40564E-03 3.60195E-03 5.00759E-03 3.75980E-03 0.034690 5 7 50.0 90.0 90.0 1.09802E-01 1.41609E-03 3.81260E-03 5.22869E-03 3.78775E-03 0.034723 4 1 60.0 0.0 180.0 9.30954E-02 1.46031E-03 5.78603E-03 7.24634E-03 3.90602E-03 0.062152 4 4 60.0 45.0 135.0 9.43251E-02 1.45705E-03 5.84831E-03 7.30535E-03 3.89729E-03 0.062002 4 7 60.0 90.0 90.0 9.91198E-02 1.48300E-03 6.19440E-03 7.67740E-03 3.96672E-03 0.062494 3 1 70.0 0.0 180.0 8.35845E-02 1.43838E-03 1.14998E-02 1.29382E-02 3.84736E-03 0.137583 3 4 70.0 45.0 135.0 8.45606E-02 1.44889E-03 1.16727E-02 1.31216E-02 3.87547E-03 0.138040 3 7 70.0 90.0 90.0 8.83314E-02 1.46898E-03 1.23984E-02 1.38674E-02 3.92920E-03 0.140362 2 1 80.0 0.0 180.0 7.38845E-02 1.29936E-03 2.34597E-02 2.47590E-02 3.47550E-03 0.317518 2 4 80.0 45.0 135.0 7.46548E-02 1.30450E-03 2.42185E-02 2.55230E-02 3.48926E-03 0.324406 2 7 80.0 90.0 90.0 7.75830E-02 1.31514E-03 2.55324E-02 2.68476E-02 3.51773E-03 0.329098 1 1 87.5 0.0 180.0 6.65928E-02 1.10033E-03 3.90311E-02 4.01315E-02 2.94314E-03 0.586116 1 4 87.5 45.0 135.0 6.72379E-02 1.04881E-03 4.10708E-02 4.21197E-02 2.80534E-03 0.610829 1 7 87.5 90.0 90.0 6.96481E-02 1.16342E-03 4.27493E-02 4.39127E-02 3.11191E-03 0.613790 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 455.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 4.033E-03 1.475E-01 5.336E-02 5.678E-02 6.348E-02 1.079E-02 6.029E+00 1.152E-03 3.081E-03 1 0.00 0.00 2.134E-03 2.601E-01 7.039E-03 7.410E-03 7.723E-03 5.917E-03 5.196E+00 3 11.27 5.00 4.679E-04 5.107E-02 3.484E-03 3.624E-03 3.817E-03 6.178E-03 6.440E+00 5 22.54 10.00 8.945E-05 9.407E-03 7.056E-04 7.199E-04 7.360E-04 6.195E-03 6.522E+00 7 33.82 15.00 1.690E-05 1.762E-03 1.356E-04 1.368E-04 1.381E-04 6.195E-03 6.535E+00 9 45.09 20.00 3.187E-06 3.319E-04 2.573E-05 2.583E-05 2.593E-05 6.194E-03 6.538E+00 11 56.36 25.00 6.010E-07 6.257E-05 4.864E-06 4.872E-06 4.880E-06 6.192E-03 6.540E+00 13 67.63 30.00 1.133E-07 1.180E-05 9.181E-07 9.188E-07 9.194E-07 6.191E-03 6.540E+00 15 78.91 35.00 2.136E-08 2.225E-06 1.732E-07 1.733E-07 1.733E-07 6.190E-03 6.541E+00 17 90.18 40.00 4.028E-09 4.195E-07 3.266E-08 3.267E-08 3.267E-08 6.189E-03 6.541E+00 19 101.45 45.00 7.595E-10 7.911E-08 6.160E-09 6.160E-09 6.161E-09 6.189E-03 6.541E+00 21 112.72 50.00 1.432E-10 1.492E-08 1.162E-09 1.162E-09 1.162E-09 6.188E-03 6.541E+00 Waveband 6 of 30 completed in 20.6 sec. * * * * * Output for wavelength band 7 (460.0 to 470.0 nm; nominal wavelength = 465.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 59.2 m at 465.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 460.0 nm to 470.0 nm: Ed(diffuse) = 4.757E-01 Ed(direct) = 1.013E+00 Ed(total) = 1.489E+00 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 3.723E-01 Ed(direct) = 0.000E+00 Ed(total) = 3.723E-01 Absorption Coefficients of Individual Components at 465.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0101 0.1535 0.0000 0.0274 0.1911 3 11.204 5.000 0.0101 0.1535 0.0000 0.0274 0.1911 5 22.408 10.000 0.0101 0.1535 0.0000 0.0274 0.1911 7 33.612 15.000 0.0101 0.1535 0.0000 0.0274 0.1911 9 44.816 20.000 0.0101 0.1535 0.0000 0.0274 0.1911 11 56.020 25.000 0.0101 0.1535 0.0000 0.0274 0.1911 13 67.224 30.000 0.0101 0.1535 0.0000 0.0274 0.1911 15 78.429 35.000 0.0101 0.1535 0.0000 0.0274 0.1911 17 89.633 40.000 0.0101 0.1535 0.0000 0.0274 0.1911 19 100.837 45.000 0.0101 0.1535 0.0000 0.0274 0.1911 21 112.041 50.000 0.0101 0.1535 0.0000 0.0274 0.1911 Scattering Coefficients of Individual Components at 465.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0040 0.4797 1.5661 0.0000 2.0497 3 11.204 5.000 0.0040 0.4797 1.5661 0.0000 2.0497 5 22.408 10.000 0.0040 0.4797 1.5661 0.0000 2.0497 7 33.612 15.000 0.0040 0.4797 1.5661 0.0000 2.0497 9 44.816 20.000 0.0040 0.4797 1.5661 0.0000 2.0497 11 56.020 25.000 0.0040 0.4797 1.5661 0.0000 2.0497 13 67.224 30.000 0.0040 0.4797 1.5661 0.0000 2.0497 15 78.429 35.000 0.0040 0.4797 1.5661 0.0000 2.0497 17 89.633 40.000 0.0040 0.4797 1.5661 0.0000 2.0497 19 100.837 45.000 0.0040 0.4797 1.5661 0.0000 2.0497 21 112.041 50.000 0.0040 0.4797 1.5661 0.0000 2.0497 Backscattering Coefficients of Individual Components at 465.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00198 0.00672 0.00276 0.00000 0.01146 3 11.204 5.000 0.00198 0.00672 0.00276 0.00000 0.01146 5 22.408 10.000 0.00198 0.00672 0.00276 0.00000 0.01146 7 33.612 15.000 0.00198 0.00672 0.00276 0.00000 0.01146 9 44.816 20.000 0.00198 0.00672 0.00276 0.00000 0.01146 11 56.020 25.000 0.00198 0.00672 0.00276 0.00000 0.01146 13 67.224 30.000 0.00198 0.00672 0.00276 0.00000 0.01146 15 78.429 35.000 0.00198 0.00672 0.00276 0.00000 0.01146 17 89.633 40.000 0.00198 0.00672 0.00276 0.00000 0.01146 19 100.837 45.000 0.00198 0.00672 0.00276 0.00000 0.01146 21 112.041 50.000 0.00198 0.00672 0.00276 0.00000 0.01146 Summary of Inherent Optical Properties at 465.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1911 2.0497 2.2408 0.9147 0.01146 0.00559 3 11.204 5.000 0.1911 2.0497 2.2408 0.9147 0.01146 0.00559 5 22.408 10.000 0.1911 2.0497 2.2408 0.9147 0.01146 0.00559 7 33.612 15.000 0.1911 2.0497 2.2408 0.9147 0.01146 0.00559 9 44.816 20.000 0.1911 2.0497 2.2408 0.9147 0.01146 0.00559 11 56.020 25.000 0.1911 2.0497 2.2408 0.9147 0.01146 0.00559 13 67.224 30.000 0.1911 2.0497 2.2408 0.9147 0.01146 0.00559 15 78.429 35.000 0.1911 2.0497 2.2408 0.9147 0.01146 0.00559 17 89.633 40.000 0.1911 2.0497 2.2408 0.9147 0.01146 0.00559 19 100.837 45.000 0.1911 2.0497 2.2408 0.9147 0.01146 0.00559 21 112.041 50.000 0.1911 2.0497 2.2408 0.9147 0.01146 0.00559 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5859E-01 8 20.00 8.5458E-01 7 30.00 7.0970E-01 6 40.00 5.5210E-01 5 50.00 4.0563E-01 4 60.00 2.8451E-01 3 70.00 1.9309E-01 2 80.00 1.2931E-01 1 87.50 9.4210E-02 1 92.50 7.3779E-02 2 100.00 5.3918E-02 3 110.00 3.7146E-02 4 120.00 2.6433E-02 5 130.00 1.9742E-02 6 140.00 1.5594E-02 7 150.00 1.3050E-02 8 160.00 1.1543E-02 9 170.00 1.0746E-02 10 180.00 1.0472E-02 Asymptotic AOP values are MUu(inf) = 0.3386 MUd(inf) = 0.6862 MU(inf) = 0.6032 R(inf) = 0.0435 Lu(inf)/Ed(inf) = 0.006625 (1/sr) k(inf) = 0.3168 (1/m) absorp(check) = 0.1911 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 465.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 8.8544E-02 6.5977E-01 7.4832E-01 2.4568E-02 3.7230E-01 0.2775 0.5643 0.4647 6.5989E-02 1 0.00 0.00 2.9660E-02 4.4320E-01 4.7286E-01 1.1919E-02 3.5964E-01 0.4018 0.8115 0.7354 3.3140E-02 3 11.20 5.00 1.0312E-02 1.1845E-01 1.2876E-01 3.5271E-03 8.2327E-02 0.3420 0.6950 0.6120 4.2843E-02 5 22.41 10.00 2.1922E-03 2.4860E-02 2.7053E-02 7.4381E-04 1.7092E-02 0.3393 0.6875 0.6043 4.3517E-02 7 33.61 15.00 4.5211E-04 5.1203E-03 5.5724E-03 1.5319E-04 3.5145E-03 0.3388 0.6864 0.6032 4.3589E-02 9 44.82 20.00 9.2820E-05 1.0513E-03 1.1442E-03 3.1439E-05 7.2142E-04 0.3387 0.6862 0.6030 4.3580E-02 11 56.02 25.00 1.9042E-05 2.1573E-04 2.3478E-04 6.4487E-06 1.4803E-04 0.3387 0.6862 0.6030 4.3564E-02 13 67.22 30.00 3.9059E-06 4.4262E-05 4.8168E-05 1.3227E-06 3.0371E-05 0.3386 0.6862 0.6031 4.3551E-02 15 78.43 35.00 8.0120E-07 9.0807E-06 9.8819E-06 2.7130E-07 6.2309E-06 0.3386 0.6862 0.6031 4.3542E-02 17 89.63 40.00 1.6435E-07 1.8630E-06 2.0273E-06 5.5652E-08 1.2783E-06 0.3386 0.6862 0.6031 4.3535E-02 19 100.84 45.00 3.3715E-08 3.8219E-07 4.1590E-07 1.1416E-08 2.6225E-07 0.3386 0.6862 0.6031 4.3531E-02 21 112.04 50.00 6.9164E-09 7.8408E-08 8.5324E-08 2.3418E-09 5.3802E-08 0.3386 0.6862 0.6031 4.3527E-02 K-functions (units of 1/meter) at 465.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.06118 0.18910 0.18107 0.09367 0.25400 0.25950 0.22562 5.000 5.010 5.005 0.29954 0.30626 0.30572 0.30359 0.31154 0.31189 0.31043 10.000 10.010 10.005 0.31450 0.31520 0.31514 0.31504 0.31591 0.31595 0.31606 15.000 15.010 15.005 0.31647 0.31649 0.31649 0.31657 0.31660 0.31660 0.31683 20.000 20.010 20.005 0.31677 0.31672 0.31673 0.31682 0.31674 0.31674 0.31692 25.000 25.010 25.005 0.31682 0.31677 0.31678 0.31684 0.31678 0.31677 0.31690 30.000 30.010 30.005 0.31683 0.31679 0.31679 0.31684 0.31679 0.31678 0.31687 35.000 35.010 35.005 0.31683 0.31680 0.31680 0.31683 0.31679 0.31679 0.31685 40.000 40.010 40.005 0.31680 0.31679 0.31679 0.31682 0.31680 0.31679 0.31684 45.000 45.010 45.005 0.31681 0.31680 0.31680 0.31681 0.31680 0.31680 0.31683 50.000 50.010 50.005 0.31681 0.31680 0.31680 0.31681 0.31680 0.31680 0.31682 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 465.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.46879E-01 1.23918E-03 2.86949E-03 4.10867E-03 3.32846E-03 0.019536 9 1 10.0 0.0 180.0 1.35973E-01 1.26207E-03 2.68610E-03 3.94816E-03 3.38993E-03 0.019755 9 4 10.0 45.0 135.0 1.37930E-01 1.25978E-03 2.72441E-03 3.98419E-03 3.38380E-03 0.019752 9 7 10.0 90.0 90.0 1.44081E-01 1.26350E-03 2.83800E-03 4.10150E-03 3.39377E-03 0.019697 8 1 20.0 0.0 180.0 1.27614E-01 1.29589E-03 2.56602E-03 3.86191E-03 3.48078E-03 0.020108 8 4 20.0 45.0 135.0 1.29898E-01 1.28824E-03 2.61400E-03 3.90224E-03 3.46023E-03 0.020123 8 7 20.0 90.0 90.0 1.37953E-01 1.29694E-03 2.75665E-03 4.05358E-03 3.48359E-03 0.019983 7 1 30.0 0.0 180.0 1.19228E-01 1.34733E-03 2.54057E-03 3.88790E-03 3.61894E-03 0.021309 7 4 30.0 45.0 135.0 1.21377E-01 1.35293E-03 2.58978E-03 3.94271E-03 3.63399E-03 0.021337 7 7 30.0 90.0 90.0 1.29442E-01 1.35846E-03 2.75294E-03 4.11141E-03 3.64885E-03 0.021268 6 1 40.0 0.0 180.0 1.10698E-01 1.42394E-03 2.74781E-03 4.17174E-03 3.82471E-03 0.024823 6 4 40.0 45.0 135.0 1.12548E-01 1.43016E-03 2.78956E-03 4.21972E-03 3.84143E-03 0.024786 6 7 40.0 90.0 90.0 1.19693E-01 1.44017E-03 2.97635E-03 4.41652E-03 3.86832E-03 0.024866 5 1 50.0 0.0 180.0 1.01874E-01 1.51764E-03 3.52650E-03 5.04415E-03 4.07641E-03 0.034616 5 4 50.0 45.0 135.0 1.03398E-01 1.51683E-03 3.58690E-03 5.10373E-03 4.07423E-03 0.034690 5 7 50.0 90.0 90.0 1.09343E-01 1.52868E-03 3.79667E-03 5.32534E-03 4.10605E-03 0.034723 4 1 60.0 0.0 180.0 9.27064E-02 1.57605E-03 5.76185E-03 7.33790E-03 4.23328E-03 0.062152 4 4 60.0 45.0 135.0 9.39309E-02 1.57279E-03 5.82387E-03 7.39666E-03 4.22454E-03 0.062002 4 7 60.0 90.0 90.0 9.87056E-02 1.60141E-03 6.16851E-03 7.76992E-03 4.30142E-03 0.062494 3 1 70.0 0.0 180.0 8.32352E-02 1.55199E-03 1.14517E-02 1.30037E-02 4.16867E-03 0.137583 3 4 70.0 45.0 135.0 8.42072E-02 1.56359E-03 1.16240E-02 1.31875E-02 4.19982E-03 0.138040 3 7 70.0 90.0 90.0 8.79622E-02 1.58583E-03 1.23466E-02 1.39324E-02 4.25956E-03 0.140362 2 1 80.0 0.0 180.0 7.35757E-02 1.40126E-03 2.33616E-02 2.47629E-02 3.76381E-03 0.317518 2 4 80.0 45.0 135.0 7.43428E-02 1.40702E-03 2.41173E-02 2.55243E-02 3.77928E-03 0.324406 2 7 80.0 90.0 90.0 7.72587E-02 1.41899E-03 2.54257E-02 2.68447E-02 3.81143E-03 0.329098 1 1 87.5 0.0 180.0 6.63145E-02 1.18548E-03 3.88680E-02 4.00535E-02 3.18421E-03 0.586116 1 4 87.5 45.0 135.0 6.69569E-02 1.13015E-03 4.08992E-02 4.20294E-02 3.03559E-03 0.610829 1 7 87.5 90.0 90.0 6.93570E-02 1.25401E-03 4.25706E-02 4.38246E-02 3.36828E-03 0.613790 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 465.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 4.109E-03 1.469E-01 5.318E-02 5.659E-02 6.326E-02 1.104E-02 5.979E+00 1.239E-03 3.328E-03 1 0.00 0.00 2.295E-03 2.591E-01 7.478E-03 7.868E-03 8.197E-03 6.382E-03 5.192E+00 3 11.20 5.00 5.473E-04 5.478E-02 4.001E-03 4.161E-03 4.382E-03 6.648E-03 6.445E+00 5 22.41 10.00 1.138E-04 1.094E-02 8.842E-04 9.023E-04 9.226E-04 6.656E-03 6.538E+00 7 33.61 15.00 2.337E-05 2.228E-03 1.850E-04 1.867E-04 1.884E-04 6.649E-03 6.556E+00 9 44.82 20.00 4.791E-06 4.565E-04 3.820E-05 3.835E-05 3.850E-05 6.642E-03 6.562E+00 11 56.02 25.00 9.824E-07 9.364E-05 7.856E-06 7.869E-06 7.883E-06 6.637E-03 6.564E+00 13 67.22 30.00 2.015E-07 1.921E-05 1.613E-06 1.614E-06 1.616E-06 6.633E-03 6.565E+00 15 78.43 35.00 4.132E-08 3.942E-06 3.311E-07 3.312E-07 3.313E-07 6.631E-03 6.566E+00 17 89.63 40.00 8.475E-09 8.087E-07 6.793E-08 6.794E-08 6.795E-08 6.629E-03 6.567E+00 19 100.84 45.00 1.738E-09 1.659E-07 1.394E-08 1.394E-08 1.394E-08 6.628E-03 6.567E+00 21 112.04 50.00 3.566E-10 3.404E-08 2.859E-09 2.859E-09 2.859E-09 6.628E-03 6.568E+00 Waveband 7 of 30 completed in 20.6 sec. * * * * * Output for wavelength band 8 (470.0 to 480.0 nm; nominal wavelength = 475.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 59.2 m at 475.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 470.0 nm to 480.0 nm: Ed(diffuse) = 4.727E-01 Ed(direct) = 1.039E+00 Ed(total) = 1.512E+00 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 3.779E-01 Ed(direct) = 0.000E+00 Ed(total) = 3.779E-01 Absorption Coefficients of Individual Components at 475.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0114 0.1397 0.0000 0.0239 0.1750 3 11.122 5.000 0.0114 0.1397 0.0000 0.0239 0.1750 5 22.244 10.000 0.0114 0.1397 0.0000 0.0239 0.1750 7 33.365 15.000 0.0114 0.1397 0.0000 0.0239 0.1750 9 44.487 20.000 0.0114 0.1397 0.0000 0.0239 0.1750 11 55.609 25.000 0.0114 0.1397 0.0000 0.0239 0.1750 13 66.731 30.000 0.0114 0.1397 0.0000 0.0239 0.1750 15 77.853 35.000 0.0114 0.1397 0.0000 0.0239 0.1750 17 88.975 40.000 0.0114 0.1397 0.0000 0.0239 0.1750 19 100.096 45.000 0.0114 0.1397 0.0000 0.0239 0.1750 21 111.218 50.000 0.0114 0.1397 0.0000 0.0239 0.1750 Scattering Coefficients of Individual Components at 475.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0036 0.4797 1.5661 0.0000 2.0494 3 11.122 5.000 0.0036 0.4797 1.5661 0.0000 2.0494 5 22.244 10.000 0.0036 0.4797 1.5661 0.0000 2.0494 7 33.365 15.000 0.0036 0.4797 1.5661 0.0000 2.0494 9 44.487 20.000 0.0036 0.4797 1.5661 0.0000 2.0494 11 55.609 25.000 0.0036 0.4797 1.5661 0.0000 2.0494 13 66.731 30.000 0.0036 0.4797 1.5661 0.0000 2.0494 15 77.853 35.000 0.0036 0.4797 1.5661 0.0000 2.0494 17 88.975 40.000 0.0036 0.4797 1.5661 0.0000 2.0494 19 100.096 45.000 0.0036 0.4797 1.5661 0.0000 2.0494 21 111.218 50.000 0.0036 0.4797 1.5661 0.0000 2.0494 Backscattering Coefficients of Individual Components at 475.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00180 0.00672 0.00276 0.00000 0.01128 3 11.122 5.000 0.00180 0.00672 0.00276 0.00000 0.01128 5 22.244 10.000 0.00180 0.00672 0.00276 0.00000 0.01128 7 33.365 15.000 0.00180 0.00672 0.00276 0.00000 0.01128 9 44.487 20.000 0.00180 0.00672 0.00276 0.00000 0.01128 11 55.609 25.000 0.00180 0.00672 0.00276 0.00000 0.01128 13 66.731 30.000 0.00180 0.00672 0.00276 0.00000 0.01128 15 77.853 35.000 0.00180 0.00672 0.00276 0.00000 0.01128 17 88.975 40.000 0.00180 0.00672 0.00276 0.00000 0.01128 19 100.096 45.000 0.00180 0.00672 0.00276 0.00000 0.01128 21 111.218 50.000 0.00180 0.00672 0.00276 0.00000 0.01128 Summary of Inherent Optical Properties at 475.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1750 2.0494 2.2244 0.9213 0.01128 0.00551 3 11.122 5.000 0.1750 2.0494 2.2244 0.9213 0.01128 0.00551 5 22.244 10.000 0.1750 2.0494 2.2244 0.9213 0.01128 0.00551 7 33.365 15.000 0.1750 2.0494 2.2244 0.9213 0.01128 0.00551 9 44.487 20.000 0.1750 2.0494 2.2244 0.9213 0.01128 0.00551 11 55.609 25.000 0.1750 2.0494 2.2244 0.9213 0.01128 0.00551 13 66.731 30.000 0.1750 2.0494 2.2244 0.9213 0.01128 0.00551 15 77.853 35.000 0.1750 2.0494 2.2244 0.9213 0.01128 0.00551 17 88.975 40.000 0.1750 2.0494 2.2244 0.9213 0.01128 0.00551 19 100.096 45.000 0.1750 2.0494 2.2244 0.9213 0.01128 0.00551 21 111.218 50.000 0.1750 2.0494 2.2244 0.9213 0.01128 0.00551 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.6040E-01 8 20.00 8.6058E-01 7 30.00 7.2055E-01 6 40.00 5.6666E-01 5 50.00 4.2178E-01 4 60.00 3.0016E-01 3 70.00 2.0683E-01 2 80.00 1.4058E-01 1 87.50 1.0350E-01 1 92.50 8.1638E-02 2 100.00 6.0177E-02 3 110.00 4.1823E-02 4 120.00 2.9935E-02 5 130.00 2.2418E-02 6 140.00 1.7709E-02 7 150.00 1.4796E-02 8 160.00 1.3060E-02 9 170.00 1.2138E-02 10 180.00 1.1820E-02 Asymptotic AOP values are MUu(inf) = 0.3407 MUd(inf) = 0.6798 MU(inf) = 0.5907 R(inf) = 0.0480 Lu(inf)/Ed(inf) = 0.007299 (1/sr) k(inf) = 0.2962 (1/m) absorp(check) = 0.1750 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 475.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 9.0900E-02 6.6974E-01 7.6064E-01 2.5447E-02 3.7792E-01 0.2799 0.5643 0.4634 6.7335E-02 1 0.00 0.00 3.3055E-02 4.5235E-01 4.8540E-01 1.3359E-02 3.6582E-01 0.4041 0.8087 0.7261 3.6517E-02 3 11.12 5.00 1.2723E-02 1.3481E-01 1.4753E-01 4.3836E-03 9.2960E-02 0.3445 0.6896 0.6004 4.7156E-02 5 22.24 10.00 3.0059E-03 3.1427E-02 3.4433E-02 1.0266E-03 2.1411E-02 0.3415 0.6813 0.5920 4.7946E-02 7 33.37 15.00 6.8743E-04 7.1774E-03 7.8649E-03 2.3442E-04 4.8807E-03 0.3410 0.6800 0.5908 4.8030E-02 9 44.49 20.00 1.5643E-04 1.6335E-03 1.7900E-03 5.3324E-05 1.1104E-03 0.3409 0.6798 0.5906 4.8021E-02 11 55.61 25.00 3.5569E-05 3.7152E-04 4.0708E-04 1.2122E-05 2.5254E-04 0.3408 0.6797 0.5906 4.8003E-02 13 66.73 30.00 8.0865E-06 8.4481E-05 9.2567E-05 2.7558E-06 5.7425E-05 0.3408 0.6797 0.5906 4.7990E-02 15 77.85 35.00 1.8385E-06 1.9210E-05 2.1048E-05 6.2652E-07 1.3058E-05 0.3408 0.6797 0.5906 4.7981E-02 17 88.97 40.00 4.1800E-07 4.3679E-06 4.7859E-06 1.4244E-07 2.9691E-06 0.3408 0.6798 0.5906 4.7975E-02 19 100.10 45.00 9.5038E-08 9.9317E-07 1.0882E-06 3.2385E-08 6.7511E-07 0.3408 0.6798 0.5906 4.7971E-02 21 111.22 50.00 2.1609E-08 2.2582E-07 2.4743E-07 7.3633E-09 1.5351E-07 0.3408 0.6798 0.5906 4.7968E-02 K-functions (units of 1/meter) at 475.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.05829 0.17410 0.16621 0.08191 0.23468 0.24048 0.20765 5.000 5.010 5.005 0.27793 0.28485 0.28425 0.28225 0.29061 0.29103 0.28962 10.000 10.010 10.005 0.29373 0.29445 0.29439 0.29432 0.29525 0.29529 0.29548 15.000 15.010 15.005 0.29583 0.29586 0.29586 0.29597 0.29601 0.29601 0.29627 20.000 20.010 20.005 0.29620 0.29614 0.29615 0.29624 0.29617 0.29616 0.29635 25.000 25.010 25.005 0.29625 0.29620 0.29620 0.29627 0.29621 0.29620 0.29633 30.000 30.010 30.005 0.29626 0.29622 0.29622 0.29626 0.29622 0.29622 0.29629 35.000 35.010 35.005 0.29626 0.29623 0.29623 0.29626 0.29622 0.29622 0.29627 40.000 40.010 40.005 0.29625 0.29623 0.29623 0.29625 0.29623 0.29622 0.29626 45.000 45.010 45.005 0.29622 0.29622 0.29622 0.29624 0.29623 0.29623 0.29625 50.000 50.010 50.005 0.29626 0.29624 0.29624 0.29624 0.29623 0.29623 0.29624 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 475.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.49098E-01 1.39196E-03 2.91283E-03 4.30479E-03 3.68320E-03 0.019536 9 1 10.0 0.0 180.0 1.38026E-01 1.41792E-03 2.72666E-03 4.14459E-03 3.75189E-03 0.019755 9 4 10.0 45.0 135.0 1.40013E-01 1.41546E-03 2.76556E-03 4.18102E-03 3.74538E-03 0.019752 9 7 10.0 90.0 90.0 1.46258E-01 1.41987E-03 2.88087E-03 4.30074E-03 3.75706E-03 0.019697 8 1 20.0 0.0 180.0 1.29542E-01 1.45686E-03 2.60477E-03 4.06163E-03 3.85491E-03 0.020108 8 4 20.0 45.0 135.0 1.31860E-01 1.44841E-03 2.65348E-03 4.10189E-03 3.83257E-03 0.020123 8 7 20.0 90.0 90.0 1.40036E-01 1.45857E-03 2.79828E-03 4.25685E-03 3.85946E-03 0.019983 7 1 30.0 0.0 180.0 1.21029E-01 1.51585E-03 2.57894E-03 4.09479E-03 4.01101E-03 0.021309 7 4 30.0 45.0 135.0 1.23211E-01 1.52237E-03 2.62890E-03 4.15127E-03 4.02827E-03 0.021337 7 7 30.0 90.0 90.0 1.31397E-01 1.52911E-03 2.79452E-03 4.32363E-03 4.04611E-03 0.021268 6 1 40.0 0.0 180.0 1.12370E-01 1.60372E-03 2.78931E-03 4.39303E-03 4.24353E-03 0.024823 6 4 40.0 45.0 135.0 1.14248E-01 1.61102E-03 2.83169E-03 4.44271E-03 4.26283E-03 0.024786 6 7 40.0 90.0 90.0 1.21501E-01 1.62295E-03 3.02131E-03 4.64425E-03 4.29440E-03 0.024866 5 1 50.0 0.0 180.0 1.03413E-01 1.71009E-03 3.57976E-03 5.28986E-03 4.52499E-03 0.034616 5 4 50.0 45.0 135.0 1.04959E-01 1.70949E-03 3.64107E-03 5.35056E-03 4.52340E-03 0.034690 5 7 50.0 90.0 90.0 1.10994E-01 1.72357E-03 3.85401E-03 5.57758E-03 4.56065E-03 0.034723 4 1 60.0 0.0 180.0 9.41065E-02 1.77622E-03 5.84888E-03 7.62510E-03 4.69996E-03 0.062152 4 4 60.0 45.0 135.0 9.53496E-02 1.77289E-03 5.91183E-03 7.68472E-03 4.69115E-03 0.062002 4 7 60.0 90.0 90.0 1.00196E-01 1.80591E-03 6.26168E-03 8.06758E-03 4.77852E-03 0.062494 3 1 70.0 0.0 180.0 8.44924E-02 1.74813E-03 1.16247E-02 1.33728E-02 4.62563E-03 0.137583 3 4 70.0 45.0 135.0 8.54790E-02 1.76152E-03 1.17995E-02 1.35610E-02 4.66106E-03 0.138040 3 7 70.0 90.0 90.0 8.92908E-02 1.78726E-03 1.25331E-02 1.43203E-02 4.72917E-03 0.140362 2 1 80.0 0.0 180.0 7.46869E-02 1.57698E-03 2.37145E-02 2.52915E-02 4.17277E-03 0.317518 2 4 80.0 45.0 135.0 7.54657E-02 1.58373E-03 2.44815E-02 2.60653E-02 4.19062E-03 0.324406 2 7 80.0 90.0 90.0 7.84256E-02 1.59780E-03 2.58097E-02 2.74075E-02 4.22787E-03 0.329098 1 1 87.5 0.0 180.0 6.73161E-02 1.33225E-03 3.94551E-02 4.07873E-02 3.52520E-03 0.586116 1 4 87.5 45.0 135.0 6.79681E-02 1.27029E-03 4.15169E-02 4.27872E-02 3.36125E-03 0.610829 1 7 87.5 90.0 90.0 7.04045E-02 1.40994E-03 4.32136E-02 4.46235E-02 3.73077E-03 0.613790 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 475.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 4.305E-03 1.491E-01 5.405E-02 5.751E-02 6.428E-02 1.139E-02 5.911E+00 1.392E-03 3.683E-03 1 0.00 0.00 2.578E-03 2.630E-01 8.252E-03 8.679E-03 9.036E-03 7.048E-03 5.181E+00 3 11.12 5.00 6.813E-04 6.081E-02 4.840E-03 5.034E-03 5.300E-03 7.329E-03 6.434E+00 5 22.24 10.00 1.570E-04 1.340E-02 1.191E-03 1.215E-03 1.242E-03 7.334E-03 6.537E+00 7 33.37 15.00 3.575E-05 3.022E-03 2.763E-04 2.788E-04 2.815E-04 7.324E-03 6.557E+00 9 44.49 20.00 8.124E-06 6.860E-04 6.324E-05 6.350E-05 6.376E-05 7.316E-03 6.564E+00 11 55.61 25.00 1.846E-06 1.560E-04 1.442E-05 1.444E-05 1.447E-05 7.311E-03 6.566E+00 13 66.73 30.00 4.196E-07 3.546E-05 3.281E-06 3.284E-06 3.286E-06 7.307E-03 6.567E+00 15 77.85 35.00 9.539E-08 8.063E-06 7.464E-07 7.466E-07 7.469E-07 7.305E-03 6.568E+00 17 88.97 40.00 2.168E-08 1.833E-06 1.697E-07 1.698E-07 1.698E-07 7.304E-03 6.569E+00 19 100.10 45.00 4.930E-09 4.169E-07 3.860E-08 3.860E-08 3.860E-08 7.303E-03 6.569E+00 21 111.22 50.00 1.121E-09 9.479E-08 8.776E-09 8.776E-09 8.777E-09 7.302E-03 6.569E+00 Waveband 8 of 30 completed in 20.6 sec. * * * * * Output for wavelength band 9 (480.0 to 490.0 nm; nominal wavelength = 485.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 59.2 m at 485.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 480.0 nm to 490.0 nm: Ed(diffuse) = 4.491E-01 Ed(direct) = 1.015E+00 Ed(total) = 1.464E+00 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 3.660E-01 Ed(direct) = 0.000E+00 Ed(total) = 3.660E-01 Absorption Coefficients of Individual Components at 485.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0136 0.1274 0.0000 0.0207 0.1617 3 11.054 5.000 0.0136 0.1274 0.0000 0.0207 0.1617 5 22.108 10.000 0.0136 0.1274 0.0000 0.0207 0.1617 7 33.162 15.000 0.0136 0.1274 0.0000 0.0207 0.1617 9 44.217 20.000 0.0136 0.1274 0.0000 0.0207 0.1617 11 55.271 25.000 0.0136 0.1274 0.0000 0.0207 0.1617 13 66.325 30.000 0.0136 0.1274 0.0000 0.0207 0.1617 15 77.379 35.000 0.0136 0.1274 0.0000 0.0207 0.1617 17 88.433 40.000 0.0136 0.1274 0.0000 0.0207 0.1617 19 99.487 45.000 0.0136 0.1274 0.0000 0.0207 0.1617 21 110.542 50.000 0.0136 0.1274 0.0000 0.0207 0.1617 Scattering Coefficients of Individual Components at 485.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0033 0.4797 1.5661 0.0000 2.0491 3 11.054 5.000 0.0033 0.4797 1.5661 0.0000 2.0491 5 22.108 10.000 0.0033 0.4797 1.5661 0.0000 2.0491 7 33.162 15.000 0.0033 0.4797 1.5661 0.0000 2.0491 9 44.217 20.000 0.0033 0.4797 1.5661 0.0000 2.0491 11 55.271 25.000 0.0033 0.4797 1.5661 0.0000 2.0491 13 66.325 30.000 0.0033 0.4797 1.5661 0.0000 2.0491 15 77.379 35.000 0.0033 0.4797 1.5661 0.0000 2.0491 17 88.433 40.000 0.0033 0.4797 1.5661 0.0000 2.0491 19 99.487 45.000 0.0033 0.4797 1.5661 0.0000 2.0491 21 110.542 50.000 0.0033 0.4797 1.5661 0.0000 2.0491 Backscattering Coefficients of Individual Components at 485.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00165 0.00672 0.00276 0.00000 0.01113 3 11.054 5.000 0.00165 0.00672 0.00276 0.00000 0.01113 5 22.108 10.000 0.00165 0.00672 0.00276 0.00000 0.01113 7 33.162 15.000 0.00165 0.00672 0.00276 0.00000 0.01113 9 44.217 20.000 0.00165 0.00672 0.00276 0.00000 0.01113 11 55.271 25.000 0.00165 0.00672 0.00276 0.00000 0.01113 13 66.325 30.000 0.00165 0.00672 0.00276 0.00000 0.01113 15 77.379 35.000 0.00165 0.00672 0.00276 0.00000 0.01113 17 88.433 40.000 0.00165 0.00672 0.00276 0.00000 0.01113 19 99.487 45.000 0.00165 0.00672 0.00276 0.00000 0.01113 21 110.542 50.000 0.00165 0.00672 0.00276 0.00000 0.01113 Summary of Inherent Optical Properties at 485.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1617 2.0491 2.2108 0.9268 0.01113 0.00543 3 11.054 5.000 0.1617 2.0491 2.2108 0.9268 0.01113 0.00543 5 22.108 10.000 0.1617 2.0491 2.2108 0.9268 0.01113 0.00543 7 33.162 15.000 0.1617 2.0491 2.2108 0.9268 0.01113 0.00543 9 44.217 20.000 0.1617 2.0491 2.2108 0.9268 0.01113 0.00543 11 55.271 25.000 0.1617 2.0491 2.2108 0.9268 0.01113 0.00543 13 66.325 30.000 0.1617 2.0491 2.2108 0.9268 0.01113 0.00543 15 77.379 35.000 0.1617 2.0491 2.2108 0.9268 0.01113 0.00543 17 88.433 40.000 0.1617 2.0491 2.2108 0.9268 0.01113 0.00543 19 99.487 45.000 0.1617 2.0491 2.2108 0.9268 0.01113 0.00543 21 110.542 50.000 0.1617 2.0491 2.2108 0.9268 0.01113 0.00543 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.6195E-01 8 20.00 8.6572E-01 7 30.00 7.2991E-01 6 40.00 5.7936E-01 5 50.00 4.3606E-01 4 60.00 3.1421E-01 3 70.00 2.1936E-01 2 80.00 1.5103E-01 1 87.50 1.1223E-01 1 92.50 8.9085E-02 2 100.00 6.6176E-02 3 110.00 4.6364E-02 4 120.00 3.3372E-02 5 130.00 2.5067E-02 6 140.00 1.9814E-02 7 150.00 1.6540E-02 8 160.00 1.4577E-02 9 170.00 1.3530E-02 10 180.00 1.3169E-02 Asymptotic AOP values are MUu(inf) = 0.3429 MUd(inf) = 0.6742 MU(inf) = 0.5794 R(inf) = 0.0522 Lu(inf)/Ed(inf) = 0.007964 (1/sr) k(inf) = 0.2792 (1/m) absorp(check) = 0.1618 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 485.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 8.8996E-02 6.4866E-01 7.3765E-01 2.5125E-02 3.6603E-01 0.2823 0.5643 0.4621 6.8643E-02 1 0.00 0.00 3.4753E-02 4.4039E-01 4.7514E-01 1.4116E-02 3.5501E-01 0.4062 0.8061 0.7175 3.9763E-02 3 11.05 5.00 1.4536E-02 1.4360E-01 1.5814E-01 5.0429E-03 9.8342E-02 0.3469 0.6848 0.5900 5.1278E-02 5 22.11 10.00 3.7495E-03 3.6529E-02 4.0278E-02 1.2886E-03 2.4689E-02 0.3437 0.6759 0.5810 5.2195E-02 7 33.16 15.00 9.3446E-04 9.0899E-03 1.0024E-02 3.2064E-04 6.1306E-03 0.3431 0.6744 0.5796 5.2302E-02 9 44.22 20.00 2.3164E-04 2.2534E-03 2.4851E-03 7.9450E-05 1.5192E-03 0.3430 0.6742 0.5794 5.2297E-02 11 55.27 25.00 5.7367E-05 5.5820E-04 6.1557E-04 1.9673E-05 3.7630E-04 0.3429 0.6741 0.5794 5.2280E-02 13 66.32 30.00 1.4206E-05 1.3825E-04 1.5245E-04 4.8713E-06 9.3198E-05 0.3429 0.6741 0.5794 5.2268E-02 15 77.38 35.00 3.5176E-06 3.4238E-05 3.7755E-05 1.2062E-06 2.3081E-05 0.3429 0.6741 0.5794 5.2259E-02 17 88.43 40.00 8.7108E-07 8.4791E-06 9.3501E-06 2.9869E-07 5.7161E-06 0.3429 0.6741 0.5794 5.2254E-02 19 99.49 45.00 2.1571E-07 2.0998E-06 2.3156E-06 7.3965E-08 1.4156E-06 0.3429 0.6741 0.5794 5.2250E-02 21 110.54 50.00 5.3419E-08 5.2003E-07 5.7344E-07 1.8317E-08 3.5057E-07 0.3429 0.6741 0.5794 5.2247E-02 K-functions (units of 1/meter) at 485.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.05652 0.16240 0.15465 0.07261 0.21884 0.22490 0.19282 5.000 5.010 5.005 0.25995 0.26705 0.26640 0.26449 0.27326 0.27374 0.27225 10.000 10.010 10.005 0.27644 0.27721 0.27714 0.27707 0.27810 0.27816 0.27831 15.000 15.010 15.005 0.27868 0.27874 0.27874 0.27884 0.27891 0.27892 0.27916 20.000 20.010 20.005 0.27910 0.27906 0.27906 0.27915 0.27909 0.27908 0.27925 25.000 25.010 25.005 0.27915 0.27911 0.27912 0.27918 0.27913 0.27912 0.27923 30.000 30.010 30.005 0.27917 0.27914 0.27914 0.27918 0.27914 0.27914 0.27920 35.000 35.010 35.005 0.27917 0.27915 0.27915 0.27917 0.27914 0.27914 0.27919 40.000 40.010 40.005 0.27915 0.27914 0.27914 0.27916 0.27915 0.27914 0.27917 45.000 45.010 45.005 0.27915 0.27915 0.27915 0.27916 0.27915 0.27915 0.27917 50.000 50.010 50.005 0.27915 0.27915 0.27915 0.27916 0.27915 0.27915 0.27916 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 485.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.44404E-01 1.47461E-03 2.82114E-03 4.29574E-03 4.02871E-03 0.019536 9 1 10.0 0.0 180.0 1.33681E-01 1.50232E-03 2.64083E-03 4.14316E-03 4.10443E-03 0.019755 9 4 10.0 45.0 135.0 1.35606E-01 1.49981E-03 2.67850E-03 4.17831E-03 4.09755E-03 0.019752 9 7 10.0 90.0 90.0 1.41654E-01 1.50470E-03 2.79018E-03 4.29488E-03 4.11092E-03 0.019697 8 1 20.0 0.0 180.0 1.25464E-01 1.54438E-03 2.52278E-03 4.06715E-03 4.21931E-03 0.020108 8 4 20.0 45.0 135.0 1.27709E-01 1.53557E-03 2.56995E-03 4.10552E-03 4.19525E-03 0.020123 8 7 20.0 90.0 90.0 1.35628E-01 1.54669E-03 2.71020E-03 4.25689E-03 4.22564E-03 0.019983 7 1 30.0 0.0 180.0 1.17219E-01 1.60790E-03 2.49776E-03 4.10566E-03 4.39287E-03 0.021309 7 4 30.0 45.0 135.0 1.19332E-01 1.61502E-03 2.54614E-03 4.16116E-03 4.41231E-03 0.021337 7 7 30.0 90.0 90.0 1.27261E-01 1.62264E-03 2.70655E-03 4.32919E-03 4.43313E-03 0.021268 6 1 40.0 0.0 180.0 1.08832E-01 1.70249E-03 2.70150E-03 4.40399E-03 4.65128E-03 0.024823 6 4 40.0 45.0 135.0 1.10651E-01 1.71048E-03 2.74256E-03 4.45304E-03 4.67313E-03 0.024786 6 7 40.0 90.0 90.0 1.17676E-01 1.72374E-03 2.92620E-03 4.64994E-03 4.70934E-03 0.024866 5 1 50.0 0.0 180.0 1.00158E-01 1.81594E-03 3.46708E-03 5.28302E-03 4.96125E-03 0.034616 5 4 50.0 45.0 135.0 1.01655E-01 1.81559E-03 3.52645E-03 5.34205E-03 4.96029E-03 0.034690 5 7 50.0 90.0 90.0 1.07500E-01 1.83119E-03 3.73269E-03 5.56388E-03 5.00290E-03 0.034723 4 1 60.0 0.0 180.0 9.11442E-02 1.88622E-03 5.66476E-03 7.55098E-03 5.15324E-03 0.062152 4 4 60.0 45.0 135.0 9.23481E-02 1.88298E-03 5.72573E-03 7.60871E-03 5.14441E-03 0.062002 4 7 60.0 90.0 90.0 9.70423E-02 1.91872E-03 6.06457E-03 7.98329E-03 5.24205E-03 0.062494 3 1 70.0 0.0 180.0 8.18327E-02 1.85521E-03 1.12588E-02 1.31140E-02 5.06854E-03 0.137583 3 4 70.0 45.0 135.0 8.27883E-02 1.86971E-03 1.14281E-02 1.32978E-02 5.10815E-03 0.138040 3 7 70.0 90.0 90.0 8.64800E-02 1.89764E-03 1.21385E-02 1.40362E-02 5.18444E-03 0.140362 2 1 80.0 0.0 180.0 7.23359E-02 1.67213E-03 2.29680E-02 2.46401E-02 4.56833E-03 0.317518 2 4 80.0 45.0 135.0 7.30901E-02 1.67951E-03 2.37109E-02 2.53904E-02 4.58852E-03 0.324406 2 7 80.0 90.0 90.0 7.59569E-02 1.69497E-03 2.49973E-02 2.66922E-02 4.63074E-03 0.329098 1 1 87.5 0.0 180.0 6.51971E-02 1.41075E-03 3.82131E-02 3.96238E-02 3.85424E-03 0.586116 1 4 87.5 45.0 135.0 6.58286E-02 1.34534E-03 4.02100E-02 4.15554E-02 3.67554E-03 0.610829 1 7 87.5 90.0 90.0 6.81883E-02 1.49361E-03 4.18533E-02 4.33469E-02 4.08062E-03 0.613790 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 485.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 4.296E-03 1.444E-01 5.241E-02 5.577E-02 6.233E-02 1.174E-02 5.849E+00 1.475E-03 4.029E-03 1 0.00 0.00 2.731E-03 2.547E-01 8.602E-03 9.045E-03 9.410E-03 7.693E-03 5.169E+00 3 11.05 5.00 7.860E-04 6.341E-02 5.431E-03 5.649E-03 5.946E-03 7.993E-03 6.416E+00 5 22.11 10.00 1.975E-04 1.516E-02 1.460E-03 1.490E-03 1.524E-03 7.999E-03 6.525E+00 7 33.16 15.00 4.898E-05 3.719E-03 3.694E-04 3.728E-04 3.764E-04 7.989E-03 6.547E+00 9 44.22 20.00 1.212E-05 9.192E-04 9.212E-05 9.250E-05 9.289E-05 7.981E-03 6.553E+00 11 55.27 25.00 3.001E-06 2.276E-04 2.287E-05 2.291E-05 2.296E-05 7.976E-03 6.555E+00 13 66.32 30.00 7.430E-07 5.636E-05 5.670E-06 5.675E-06 5.679E-06 7.972E-03 6.556E+00 15 77.38 35.00 1.840E-07 1.396E-05 1.405E-06 1.405E-06 1.406E-06 7.970E-03 6.557E+00 17 88.43 40.00 4.555E-08 3.457E-06 3.480E-07 3.480E-07 3.481E-07 7.969E-03 6.557E+00 19 99.49 45.00 1.128E-08 8.561E-07 8.618E-08 8.618E-08 8.619E-08 7.968E-03 6.558E+00 21 110.54 50.00 2.793E-09 2.120E-07 2.134E-08 2.134E-08 2.134E-08 7.967E-03 6.558E+00 Waveband 9 of 30 completed in 20.2 sec. * * * * * Output for wavelength band 10 (490.0 to 500.0 nm; nominal wavelength = 495.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 59.2 m at 495.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 490.0 nm to 500.0 nm: Ed(diffuse) = 4.478E-01 Ed(direct) = 1.039E+00 Ed(total) = 1.487E+00 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 3.717E-01 Ed(direct) = 0.000E+00 Ed(total) = 3.717E-01 Absorption Coefficients of Individual Components at 495.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0173 0.1184 0.0000 0.0180 0.1537 3 11.012 5.000 0.0173 0.1184 0.0000 0.0180 0.1537 5 22.025 10.000 0.0173 0.1184 0.0000 0.0180 0.1537 7 33.037 15.000 0.0173 0.1184 0.0000 0.0180 0.1537 9 44.050 20.000 0.0173 0.1184 0.0000 0.0180 0.1537 11 55.062 25.000 0.0173 0.1184 0.0000 0.0180 0.1537 13 66.075 30.000 0.0173 0.1184 0.0000 0.0180 0.1537 15 77.087 35.000 0.0173 0.1184 0.0000 0.0180 0.1537 17 88.100 40.000 0.0173 0.1184 0.0000 0.0180 0.1537 19 99.112 45.000 0.0173 0.1184 0.0000 0.0180 0.1537 21 110.125 50.000 0.0173 0.1184 0.0000 0.0180 0.1537 Scattering Coefficients of Individual Components at 495.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0030 0.4797 1.5661 0.0000 2.0488 3 11.012 5.000 0.0030 0.4797 1.5661 0.0000 2.0488 5 22.025 10.000 0.0030 0.4797 1.5661 0.0000 2.0488 7 33.037 15.000 0.0030 0.4797 1.5661 0.0000 2.0488 9 44.050 20.000 0.0030 0.4797 1.5661 0.0000 2.0488 11 55.062 25.000 0.0030 0.4797 1.5661 0.0000 2.0488 13 66.075 30.000 0.0030 0.4797 1.5661 0.0000 2.0488 15 77.087 35.000 0.0030 0.4797 1.5661 0.0000 2.0488 17 88.100 40.000 0.0030 0.4797 1.5661 0.0000 2.0488 19 99.112 45.000 0.0030 0.4797 1.5661 0.0000 2.0488 21 110.125 50.000 0.0030 0.4797 1.5661 0.0000 2.0488 Backscattering Coefficients of Individual Components at 495.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00151 0.00672 0.00276 0.00000 0.01099 3 11.012 5.000 0.00151 0.00672 0.00276 0.00000 0.01099 5 22.025 10.000 0.00151 0.00672 0.00276 0.00000 0.01099 7 33.037 15.000 0.00151 0.00672 0.00276 0.00000 0.01099 9 44.050 20.000 0.00151 0.00672 0.00276 0.00000 0.01099 11 55.062 25.000 0.00151 0.00672 0.00276 0.00000 0.01099 13 66.075 30.000 0.00151 0.00672 0.00276 0.00000 0.01099 15 77.087 35.000 0.00151 0.00672 0.00276 0.00000 0.01099 17 88.100 40.000 0.00151 0.00672 0.00276 0.00000 0.01099 19 99.112 45.000 0.00151 0.00672 0.00276 0.00000 0.01099 21 110.125 50.000 0.00151 0.00672 0.00276 0.00000 0.01099 Summary of Inherent Optical Properties at 495.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1537 2.0488 2.2025 0.9302 0.01099 0.00536 3 11.012 5.000 0.1537 2.0488 2.2025 0.9302 0.01099 0.00536 5 22.025 10.000 0.1537 2.0488 2.2025 0.9302 0.01099 0.00536 7 33.037 15.000 0.1537 2.0488 2.2025 0.9302 0.01099 0.00536 9 44.050 20.000 0.1537 2.0488 2.2025 0.9302 0.01099 0.00536 11 55.062 25.000 0.1537 2.0488 2.2025 0.9302 0.01099 0.00536 13 66.075 30.000 0.1537 2.0488 2.2025 0.9302 0.01099 0.00536 15 77.087 35.000 0.1537 2.0488 2.2025 0.9302 0.01099 0.00536 17 88.100 40.000 0.1537 2.0488 2.2025 0.9302 0.01099 0.00536 19 99.112 45.000 0.1537 2.0488 2.2025 0.9302 0.01099 0.00536 21 110.125 50.000 0.1537 2.0488 2.2025 0.9302 0.01099 0.00536 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.6291E-01 8 20.00 8.6895E-01 7 30.00 7.3583E-01 6 40.00 5.8746E-01 5 50.00 4.4525E-01 4 60.00 3.2335E-01 3 70.00 2.2760E-01 2 80.00 1.5798E-01 1 87.50 1.1807E-01 1 92.50 9.4101E-02 2 100.00 7.0243E-02 3 110.00 4.9464E-02 4 120.00 3.5729E-02 5 130.00 2.6886E-02 6 140.00 2.1258E-02 7 150.00 1.7734E-02 8 160.00 1.5614E-02 9 170.00 1.4479E-02 10 180.00 1.4088E-02 Asymptotic AOP values are MUu(inf) = 0.3442 MUd(inf) = 0.6706 MU(inf) = 0.5722 R(inf) = 0.0551 Lu(inf)/Ed(inf) = 0.008408 (1/sr) k(inf) = 0.2686 (1/m) absorp(check) = 0.1537 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 495.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 9.1015E-02 6.5863E-01 7.4965E-01 2.5836E-02 3.7166E-01 0.2839 0.5643 0.4613 6.9517E-02 1 0.00 0.00 3.7142E-02 4.4870E-01 4.8584E-01 1.5132E-02 3.6094E-01 0.4074 0.8044 0.7118 4.1923E-02 3 11.01 5.00 1.6354E-02 1.5465E-01 1.7100E-01 5.6978E-03 1.0544E-01 0.3484 0.6818 0.5833 5.4036E-02 5 22.02 10.00 4.4542E-03 4.1519E-02 4.5973E-02 1.5369E-03 2.7919E-02 0.3450 0.6724 0.5739 5.5047E-02 7 33.04 15.00 1.1707E-03 1.0895E-02 1.2065E-02 4.0326E-04 7.3093E-03 0.3445 0.6709 0.5724 5.5172E-02 9 44.05 20.00 3.0597E-04 2.8473E-03 3.1533E-03 1.0535E-04 1.9095E-03 0.3443 0.6706 0.5721 5.5170E-02 11 55.06 25.00 7.9883E-05 7.4355E-04 8.2344E-04 2.7501E-05 4.9861E-04 0.3443 0.6706 0.5721 5.5154E-02 13 66.07 30.00 2.0853E-05 1.9413E-04 2.1499E-04 7.1784E-06 1.3018E-04 0.3442 0.6706 0.5721 5.5142E-02 15 77.09 35.00 5.4437E-06 5.0684E-05 5.6128E-05 1.8738E-06 3.3988E-05 0.3442 0.6706 0.5722 5.5133E-02 17 88.10 40.00 1.4211E-06 1.3232E-05 1.4653E-05 4.8916E-07 8.8733E-06 0.3442 0.6706 0.5722 5.5127E-02 19 99.11 45.00 3.7098E-07 3.4546E-06 3.8255E-06 1.2770E-07 2.3166E-06 0.3442 0.6706 0.5722 5.5123E-02 21 110.12 50.00 9.6851E-08 9.0190E-07 9.9875E-07 3.3337E-08 6.0480E-07 0.3442 0.6706 0.5722 5.5120E-02 K-functions (units of 1/meter) at 495.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.05527 0.15547 0.14781 0.06675 0.20914 0.21537 0.18356 5.000 5.010 5.005 0.24882 0.25606 0.25537 0.25349 0.26255 0.26307 0.26147 10.000 10.010 10.005 0.26573 0.26655 0.26647 0.26639 0.26750 0.26757 0.26769 15.000 15.010 15.005 0.26811 0.26817 0.26817 0.26826 0.26835 0.26835 0.26858 20.000 20.010 20.005 0.26854 0.26850 0.26850 0.26858 0.26853 0.26853 0.26869 25.000 25.010 25.005 0.26861 0.26857 0.26857 0.26863 0.26857 0.26857 0.26867 30.000 30.010 30.005 0.26861 0.26858 0.26858 0.26862 0.26858 0.26858 0.26865 35.000 35.010 35.005 0.26864 0.26860 0.26861 0.26862 0.26859 0.26859 0.26863 40.000 40.010 40.005 0.26859 0.26858 0.26858 0.26860 0.26859 0.26859 0.26862 45.000 45.010 45.005 0.26860 0.26859 0.26859 0.26860 0.26859 0.26859 0.26861 50.000 50.010 50.005 0.26860 0.26859 0.26860 0.26860 0.26859 0.26859 0.26861 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 495.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.46625E-01 1.58231E-03 2.86453E-03 4.44683E-03 4.25746E-03 0.019536 9 1 10.0 0.0 180.0 1.35737E-01 1.61221E-03 2.68145E-03 4.29366E-03 4.33793E-03 0.019755 9 4 10.0 45.0 135.0 1.37691E-01 1.60958E-03 2.71970E-03 4.32928E-03 4.33085E-03 0.019752 9 7 10.0 90.0 90.0 1.43832E-01 1.61501E-03 2.83309E-03 4.44810E-03 4.34545E-03 0.019697 8 1 20.0 0.0 180.0 1.27393E-01 1.65797E-03 2.56158E-03 4.21954E-03 4.46103E-03 0.020108 8 4 20.0 45.0 135.0 1.29673E-01 1.64862E-03 2.60948E-03 4.25810E-03 4.43590E-03 0.020123 8 7 20.0 90.0 90.0 1.37714E-01 1.66084E-03 2.75188E-03 4.41271E-03 4.46875E-03 0.019983 7 1 30.0 0.0 180.0 1.19022E-01 1.72694E-03 2.53618E-03 4.26312E-03 4.64663E-03 0.021309 7 4 30.0 45.0 135.0 1.21168E-01 1.73474E-03 2.58530E-03 4.32004E-03 4.66760E-03 0.021337 7 7 30.0 90.0 90.0 1.29218E-01 1.74329E-03 2.74818E-03 4.49147E-03 4.69062E-03 0.021268 6 1 40.0 0.0 180.0 1.10506E-01 1.82964E-03 2.74305E-03 4.57270E-03 4.92296E-03 0.024823 6 4 40.0 45.0 135.0 1.12353E-01 1.83844E-03 2.78474E-03 4.62317E-03 4.94662E-03 0.024786 6 7 40.0 90.0 90.0 1.19486E-01 1.85315E-03 2.97121E-03 4.82435E-03 4.98620E-03 0.024866 5 1 50.0 0.0 180.0 1.01698E-01 1.95210E-03 3.52040E-03 5.47250E-03 5.25245E-03 0.034616 5 4 50.0 45.0 135.0 1.03219E-01 1.95194E-03 3.58069E-03 5.53264E-03 5.25203E-03 0.034690 5 7 50.0 90.0 90.0 1.09154E-01 1.96922E-03 3.79010E-03 5.75932E-03 5.29853E-03 0.034723 4 1 60.0 0.0 180.0 9.25460E-02 2.02783E-03 5.75189E-03 7.77972E-03 5.45621E-03 0.062152 4 4 60.0 45.0 135.0 9.37685E-02 2.02459E-03 5.81379E-03 7.83838E-03 5.44750E-03 0.062002 4 7 60.0 90.0 90.0 9.85348E-02 2.06356E-03 6.15784E-03 8.22140E-03 5.55234E-03 0.062494 3 1 70.0 0.0 180.0 8.30913E-02 1.99384E-03 1.14319E-02 1.34258E-02 5.36476E-03 0.137583 3 4 70.0 45.0 135.0 8.40616E-02 2.00965E-03 1.16039E-02 1.36135E-02 5.40730E-03 0.138040 3 7 70.0 90.0 90.0 8.78101E-02 2.04017E-03 1.23252E-02 1.43654E-02 5.48941E-03 0.140362 2 1 80.0 0.0 180.0 7.34484E-02 1.79619E-03 2.33212E-02 2.51174E-02 4.83294E-03 0.317518 2 4 80.0 45.0 135.0 7.42143E-02 1.80431E-03 2.40756E-02 2.58799E-02 4.85480E-03 0.324406 2 7 80.0 90.0 90.0 7.71251E-02 1.82135E-03 2.53818E-02 2.72031E-02 4.90066E-03 0.329098 1 1 87.5 0.0 180.0 6.61998E-02 1.51422E-03 3.88008E-02 4.03150E-02 4.07427E-03 0.586116 1 4 87.5 45.0 135.0 6.68411E-02 1.44418E-03 4.08285E-02 4.22727E-02 3.88580E-03 0.610829 1 7 87.5 90.0 90.0 6.92370E-02 1.60366E-03 4.24970E-02 4.41007E-02 4.31492E-03 0.613790 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 495.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 4.447E-03 1.466E-01 5.326E-02 5.667E-02 6.333E-02 1.196E-02 5.810E+00 1.582E-03 4.257E-03 1 0.00 0.00 2.930E-03 2.586E-01 9.146E-03 9.616E-03 1.000E-02 8.119E-03 5.164E+00 3 11.01 5.00 8.894E-04 6.737E-02 6.042E-03 6.284E-03 6.614E-03 8.434E-03 6.407E+00 5 22.02 10.00 2.357E-04 1.694E-02 1.717E-03 1.752E-03 1.792E-03 8.443E-03 6.520E+00 7 33.04 15.00 6.164E-05 4.377E-03 4.580E-04 4.623E-04 4.668E-04 8.434E-03 6.542E+00 9 44.05 20.00 1.609E-05 1.140E-03 1.204E-04 1.209E-04 1.214E-04 8.425E-03 6.548E+00 11 55.06 25.00 4.198E-06 2.976E-04 3.152E-05 3.158E-05 3.164E-05 8.420E-03 6.550E+00 13 66.07 30.00 1.096E-06 7.769E-05 8.238E-06 8.245E-06 8.251E-06 8.417E-03 6.552E+00 15 77.09 35.00 2.860E-07 2.028E-05 2.152E-06 2.152E-06 2.153E-06 8.414E-03 6.552E+00 17 88.10 40.00 7.465E-08 5.296E-06 5.618E-07 5.619E-07 5.620E-07 8.413E-03 6.553E+00 19 99.11 45.00 1.949E-08 1.383E-06 1.467E-07 1.467E-07 1.467E-07 8.412E-03 6.553E+00 21 110.12 50.00 5.087E-09 3.609E-07 3.830E-08 3.830E-08 3.830E-08 8.411E-03 6.553E+00 Waveband 10 of 30 completed in 20.4 sec. * * * * * Output for wavelength band 11 (500.0 to 510.0 nm; nominal wavelength = 505.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 59.2 m at 505.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 500.0 nm to 510.0 nm: Ed(diffuse) = 4.326E-01 Ed(direct) = 1.028E+00 Ed(total) = 1.460E+00 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 3.651E-01 Ed(direct) = 0.000E+00 Ed(total) = 3.651E-01 Absorption Coefficients of Individual Components at 505.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0256 0.1062 0.0000 0.0157 0.1475 3 10.980 5.000 0.0256 0.1062 0.0000 0.0157 0.1475 5 21.960 10.000 0.0256 0.1062 0.0000 0.0157 0.1475 7 32.940 15.000 0.0256 0.1062 0.0000 0.0157 0.1475 9 43.920 20.000 0.0256 0.1062 0.0000 0.0157 0.1475 11 54.900 25.000 0.0256 0.1062 0.0000 0.0157 0.1475 13 65.881 30.000 0.0256 0.1062 0.0000 0.0157 0.1475 15 76.861 35.000 0.0256 0.1062 0.0000 0.0157 0.1475 17 87.841 40.000 0.0256 0.1062 0.0000 0.0157 0.1475 19 98.821 45.000 0.0256 0.1062 0.0000 0.0157 0.1475 21 109.801 50.000 0.0256 0.1062 0.0000 0.0157 0.1475 Scattering Coefficients of Individual Components at 505.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0028 0.4797 1.5661 0.0000 2.0486 3 10.980 5.000 0.0028 0.4797 1.5661 0.0000 2.0486 5 21.960 10.000 0.0028 0.4797 1.5661 0.0000 2.0486 7 32.940 15.000 0.0028 0.4797 1.5661 0.0000 2.0486 9 43.920 20.000 0.0028 0.4797 1.5661 0.0000 2.0486 11 54.900 25.000 0.0028 0.4797 1.5661 0.0000 2.0486 13 65.881 30.000 0.0028 0.4797 1.5661 0.0000 2.0486 15 76.861 35.000 0.0028 0.4797 1.5661 0.0000 2.0486 17 87.841 40.000 0.0028 0.4797 1.5661 0.0000 2.0486 19 98.821 45.000 0.0028 0.4797 1.5661 0.0000 2.0486 21 109.801 50.000 0.0028 0.4797 1.5661 0.0000 2.0486 Backscattering Coefficients of Individual Components at 505.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00138 0.00672 0.00276 0.00000 0.01086 3 10.980 5.000 0.00138 0.00672 0.00276 0.00000 0.01086 5 21.960 10.000 0.00138 0.00672 0.00276 0.00000 0.01086 7 32.940 15.000 0.00138 0.00672 0.00276 0.00000 0.01086 9 43.920 20.000 0.00138 0.00672 0.00276 0.00000 0.01086 11 54.900 25.000 0.00138 0.00672 0.00276 0.00000 0.01086 13 65.881 30.000 0.00138 0.00672 0.00276 0.00000 0.01086 15 76.861 35.000 0.00138 0.00672 0.00276 0.00000 0.01086 17 87.841 40.000 0.00138 0.00672 0.00276 0.00000 0.01086 19 98.821 45.000 0.00138 0.00672 0.00276 0.00000 0.01086 21 109.801 50.000 0.00138 0.00672 0.00276 0.00000 0.01086 Summary of Inherent Optical Properties at 505.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1475 2.0486 2.1960 0.9328 0.01086 0.00530 3 10.980 5.000 0.1475 2.0486 2.1960 0.9328 0.01086 0.00530 5 21.960 10.000 0.1475 2.0486 2.1960 0.9328 0.01086 0.00530 7 32.940 15.000 0.1475 2.0486 2.1960 0.9328 0.01086 0.00530 9 43.920 20.000 0.1475 2.0486 2.1960 0.9328 0.01086 0.00530 11 54.900 25.000 0.1475 2.0486 2.1960 0.9328 0.01086 0.00530 13 65.881 30.000 0.1475 2.0486 2.1960 0.9328 0.01086 0.00530 15 76.861 35.000 0.1475 2.0486 2.1960 0.9328 0.01086 0.00530 17 87.841 40.000 0.1475 2.0486 2.1960 0.9328 0.01086 0.00530 19 98.821 45.000 0.1475 2.0486 2.1960 0.9328 0.01086 0.00530 21 109.801 50.000 0.1475 2.0486 2.1960 0.9328 0.01086 0.00530 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.6367E-01 8 20.00 8.7150E-01 7 30.00 7.4053E-01 6 40.00 5.9392E-01 5 50.00 4.5264E-01 4 60.00 3.3075E-01 3 70.00 2.3433E-01 2 80.00 1.6369E-01 1 87.50 1.2291E-01 1 92.50 9.8272E-02 2 100.00 7.3644E-02 3 110.00 5.2070E-02 4 120.00 3.7719E-02 5 130.00 2.8426E-02 6 140.00 2.2484E-02 7 150.00 1.8747E-02 8 160.00 1.6492E-02 9 170.00 1.5283E-02 10 180.00 1.4865E-02 Asymptotic AOP values are MUu(inf) = 0.3453 MUd(inf) = 0.6678 MU(inf) = 0.5664 R(inf) = 0.0575 Lu(inf)/Ed(inf) = 0.008779 (1/sr) k(inf) = 0.2604 (1/m) absorp(check) = 0.1475 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 505.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 8.9958E-02 6.4705E-01 7.3701E-01 2.5654E-02 3.6512E-01 0.2852 0.5643 0.4606 7.0262E-02 1 0.00 0.00 3.8033E-02 4.4209E-01 4.8013E-01 1.5532E-02 3.5499E-01 0.4084 0.8030 0.7070 4.3754E-02 3 10.98 5.00 1.7421E-02 1.5909E-01 1.7651E-01 6.0907E-03 1.0809E-01 0.3496 0.6794 0.5779 5.6348E-02 5 21.96 10.00 4.9501E-03 4.4549E-02 4.9499E-02 1.7135E-03 2.9834E-02 0.3461 0.6697 0.5681 5.7433E-02 7 32.94 15.00 1.3561E-03 1.2184E-02 1.3540E-02 4.6861E-04 8.1398E-03 0.3455 0.6681 0.5666 5.7569E-02 9 43.92 20.00 3.6935E-04 3.3183E-03 3.6877E-03 1.2757E-04 2.2160E-03 0.3454 0.6678 0.5663 5.7569E-02 11 54.90 25.00 1.0049E-04 9.0300E-04 1.0035E-03 3.4702E-05 6.0297E-04 0.3453 0.6677 0.5663 5.7553E-02 13 65.88 30.00 2.7335E-05 2.4568E-04 2.7301E-04 9.4392E-06 1.6405E-04 0.3453 0.6677 0.5663 5.7539E-02 15 76.86 35.00 7.4358E-06 6.6838E-05 7.4274E-05 2.5676E-06 4.4630E-05 0.3453 0.6677 0.5663 5.7530E-02 17 87.84 40.00 2.0227E-06 1.8183E-05 2.0206E-05 6.9844E-07 1.2142E-05 0.3453 0.6677 0.5663 5.7524E-02 19 98.82 45.00 5.5025E-07 4.9467E-06 5.4970E-06 1.8999E-07 3.3032E-06 0.3453 0.6677 0.5663 5.7519E-02 21 109.80 50.00 1.4969E-07 1.3457E-06 1.4954E-06 5.1685E-08 8.9861E-07 0.3453 0.6677 0.5663 5.7516E-02 K-functions (units of 1/meter) at 505.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.05489 0.15028 0.14272 0.06246 0.20160 0.20797 0.17650 5.000 5.010 5.005 0.24016 0.24748 0.24675 0.24493 0.25419 0.25475 0.25310 10.000 10.010 10.005 0.25738 0.25823 0.25815 0.25807 0.25923 0.25930 0.25941 15.000 15.010 15.005 0.25985 0.25992 0.25991 0.26000 0.26010 0.26011 0.26033 20.000 20.010 20.005 0.26029 0.26025 0.26026 0.26034 0.26029 0.26029 0.26045 25.000 25.010 25.005 0.26036 0.26033 0.26033 0.26039 0.26033 0.26033 0.26044 30.000 30.010 30.005 0.26037 0.26034 0.26035 0.26038 0.26035 0.26034 0.26041 35.000 35.010 35.005 0.26037 0.26035 0.26036 0.26038 0.26035 0.26035 0.26039 40.000 40.010 40.005 0.26038 0.26036 0.26036 0.26037 0.26035 0.26035 0.26038 45.000 45.010 45.005 0.26037 0.26036 0.26036 0.26037 0.26036 0.26035 0.26038 50.000 50.010 50.005 0.26036 0.26036 0.26036 0.26037 0.26036 0.26036 0.26037 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 505.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.44048E-01 1.62581E-03 2.81416E-03 4.43998E-03 4.45280E-03 0.019536 9 1 10.0 0.0 180.0 1.33351E-01 1.65667E-03 2.63431E-03 4.29097E-03 4.53731E-03 0.019755 9 4 10.0 45.0 135.0 1.35271E-01 1.65402E-03 2.67188E-03 4.32591E-03 4.53007E-03 0.019752 9 7 10.0 90.0 90.0 1.41304E-01 1.65974E-03 2.78328E-03 4.44302E-03 4.54573E-03 0.019697 8 1 20.0 0.0 180.0 1.25154E-01 1.70417E-03 2.51654E-03 4.22071E-03 4.66742E-03 0.020108 8 4 20.0 45.0 135.0 1.27393E-01 1.69466E-03 2.56360E-03 4.25826E-03 4.64137E-03 0.020123 8 7 20.0 90.0 90.0 1.35293E-01 1.70744E-03 2.70350E-03 4.41094E-03 4.67637E-03 0.019983 7 1 30.0 0.0 180.0 1.16929E-01 1.77568E-03 2.49159E-03 4.26727E-03 4.86327E-03 0.021309 7 4 30.0 45.0 135.0 1.19037E-01 1.78382E-03 2.53985E-03 4.32367E-03 4.88557E-03 0.021337 7 7 30.0 90.0 90.0 1.26946E-01 1.79292E-03 2.69987E-03 4.49278E-03 4.91048E-03 0.021268 6 1 40.0 0.0 180.0 1.08563E-01 1.88213E-03 2.69483E-03 4.57695E-03 5.15480E-03 0.024823 6 4 40.0 45.0 135.0 1.10378E-01 1.89134E-03 2.73578E-03 4.62712E-03 5.18002E-03 0.024786 6 7 40.0 90.0 90.0 1.17386E-01 1.90685E-03 2.91897E-03 4.82582E-03 5.22251E-03 0.024866 5 1 50.0 0.0 180.0 9.99102E-02 2.00845E-03 3.45851E-03 5.46696E-03 5.50078E-03 0.034616 5 4 50.0 45.0 135.0 1.01404E-01 2.00847E-03 3.51774E-03 5.52621E-03 5.50084E-03 0.034690 5 7 50.0 90.0 90.0 1.07235E-01 2.02667E-03 3.72347E-03 5.75014E-03 5.55069E-03 0.034723 4 1 60.0 0.0 180.0 9.09190E-02 2.08644E-03 5.65076E-03 7.73721E-03 5.71438E-03 0.062152 4 4 60.0 45.0 135.0 9.21199E-02 2.08330E-03 5.71158E-03 7.79489E-03 5.70579E-03 0.062002 4 7 60.0 90.0 90.0 9.68025E-02 2.12384E-03 6.04958E-03 8.17342E-03 5.81681E-03 0.062494 3 1 70.0 0.0 180.0 8.16305E-02 2.05084E-03 1.12309E-02 1.32818E-02 5.61689E-03 0.137583 3 4 70.0 45.0 135.0 8.25837E-02 2.06730E-03 1.13998E-02 1.34671E-02 5.66195E-03 0.138040 3 7 70.0 90.0 90.0 8.62663E-02 2.09909E-03 1.21085E-02 1.42076E-02 5.74903E-03 0.140362 2 1 80.0 0.0 180.0 7.21571E-02 1.84675E-03 2.29112E-02 2.47580E-02 5.05791E-03 0.317518 2 4 80.0 45.0 135.0 7.29095E-02 1.85526E-03 2.36523E-02 2.55076E-02 5.08122E-03 0.324406 2 7 80.0 90.0 90.0 7.57692E-02 1.87314E-03 2.49355E-02 2.68087E-02 5.13019E-03 0.329098 1 1 87.5 0.0 180.0 6.50360E-02 1.55582E-03 3.81186E-02 3.96745E-02 4.26112E-03 0.586116 1 4 87.5 45.0 135.0 6.56659E-02 1.48399E-03 4.01107E-02 4.15947E-02 4.06437E-03 0.610829 1 7 87.5 90.0 90.0 6.80198E-02 1.64813E-03 4.17499E-02 4.33980E-02 4.51392E-03 0.613790 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 505.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 4.440E-03 1.440E-01 5.236E-02 5.571E-02 6.225E-02 1.216E-02 5.778E+00 1.626E-03 4.453E-03 1 0.00 0.00 3.011E-03 2.541E-01 9.327E-03 9.805E-03 1.020E-02 8.482E-03 5.159E+00 3 10.98 5.00 9.520E-04 6.857E-02 6.377E-03 6.633E-03 6.981E-03 8.807E-03 6.398E+00 5 21.96 10.00 2.631E-04 1.792E-02 1.891E-03 1.930E-03 1.975E-03 8.817E-03 6.514E+00 7 32.94 15.00 7.169E-05 4.824E-03 5.260E-04 5.310E-04 5.362E-04 8.807E-03 6.537E+00 9 43.92 20.00 1.950E-05 1.309E-03 1.442E-04 1.448E-04 1.454E-04 8.798E-03 6.543E+00 11 54.90 25.00 5.302E-06 3.561E-04 3.932E-05 3.939E-05 3.947E-05 8.793E-03 6.546E+00 13 65.88 30.00 1.442E-06 9.688E-05 1.071E-05 1.072E-05 1.073E-05 8.789E-03 6.547E+00 15 76.86 35.00 3.921E-07 2.636E-05 2.915E-06 2.916E-06 2.917E-06 8.787E-03 6.547E+00 17 87.84 40.00 1.067E-07 7.170E-06 7.930E-07 7.932E-07 7.933E-07 8.785E-03 6.548E+00 19 98.82 45.00 2.901E-08 1.951E-06 2.158E-07 2.158E-07 2.158E-07 8.784E-03 6.548E+00 21 109.80 50.00 7.893E-09 5.307E-07 5.870E-08 5.870E-08 5.870E-08 8.783E-03 6.548E+00 Waveband 11 of 30 completed in 20.4 sec. * * * * * Output for wavelength band 12 (510.0 to 520.0 nm; nominal wavelength = 515.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 59.2 m at 515.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 510.0 nm to 520.0 nm: Ed(diffuse) = 4.102E-01 Ed(direct) = 9.960E-01 Ed(total) = 1.406E+00 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 3.516E-01 Ed(direct) = 0.000E+00 Ed(total) = 3.516E-01 Absorption Coefficients of Individual Components at 515.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0396 0.0949 0.0000 0.0136 0.1481 3 10.982 5.000 0.0396 0.0949 0.0000 0.0136 0.1481 5 21.964 10.000 0.0396 0.0949 0.0000 0.0136 0.1481 7 32.947 15.000 0.0396 0.0949 0.0000 0.0136 0.1481 9 43.929 20.000 0.0396 0.0949 0.0000 0.0136 0.1481 11 54.911 25.000 0.0396 0.0949 0.0000 0.0136 0.1481 13 65.893 30.000 0.0396 0.0949 0.0000 0.0136 0.1481 15 76.875 35.000 0.0396 0.0949 0.0000 0.0136 0.1481 17 87.858 40.000 0.0396 0.0949 0.0000 0.0136 0.1481 19 98.840 45.000 0.0396 0.0949 0.0000 0.0136 0.1481 21 109.822 50.000 0.0396 0.0949 0.0000 0.0136 0.1481 Scattering Coefficients of Individual Components at 515.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0025 0.4797 1.5661 0.0000 2.0483 3 10.982 5.000 0.0025 0.4797 1.5661 0.0000 2.0483 5 21.964 10.000 0.0025 0.4797 1.5661 0.0000 2.0483 7 32.947 15.000 0.0025 0.4797 1.5661 0.0000 2.0483 9 43.929 20.000 0.0025 0.4797 1.5661 0.0000 2.0483 11 54.911 25.000 0.0025 0.4797 1.5661 0.0000 2.0483 13 65.893 30.000 0.0025 0.4797 1.5661 0.0000 2.0483 15 76.875 35.000 0.0025 0.4797 1.5661 0.0000 2.0483 17 87.858 40.000 0.0025 0.4797 1.5661 0.0000 2.0483 19 98.840 45.000 0.0025 0.4797 1.5661 0.0000 2.0483 21 109.822 50.000 0.0025 0.4797 1.5661 0.0000 2.0483 Backscattering Coefficients of Individual Components at 515.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00127 0.00672 0.00276 0.00000 0.01075 3 10.982 5.000 0.00127 0.00672 0.00276 0.00000 0.01075 5 21.964 10.000 0.00127 0.00672 0.00276 0.00000 0.01075 7 32.947 15.000 0.00127 0.00672 0.00276 0.00000 0.01075 9 43.929 20.000 0.00127 0.00672 0.00276 0.00000 0.01075 11 54.911 25.000 0.00127 0.00672 0.00276 0.00000 0.01075 13 65.893 30.000 0.00127 0.00672 0.00276 0.00000 0.01075 15 76.875 35.000 0.00127 0.00672 0.00276 0.00000 0.01075 17 87.858 40.000 0.00127 0.00672 0.00276 0.00000 0.01075 19 98.840 45.000 0.00127 0.00672 0.00276 0.00000 0.01075 21 109.822 50.000 0.00127 0.00672 0.00276 0.00000 0.01075 Summary of Inherent Optical Properties at 515.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1481 2.0483 2.1964 0.9326 0.01075 0.00525 3 10.982 5.000 0.1481 2.0483 2.1964 0.9326 0.01075 0.00525 5 21.964 10.000 0.1481 2.0483 2.1964 0.9326 0.01075 0.00525 7 32.947 15.000 0.1481 2.0483 2.1964 0.9326 0.01075 0.00525 9 43.929 20.000 0.1481 2.0483 2.1964 0.9326 0.01075 0.00525 11 54.911 25.000 0.1481 2.0483 2.1964 0.9326 0.01075 0.00525 13 65.893 30.000 0.1481 2.0483 2.1964 0.9326 0.01075 0.00525 15 76.875 35.000 0.1481 2.0483 2.1964 0.9326 0.01075 0.00525 17 87.858 40.000 0.1481 2.0483 2.1964 0.9326 0.01075 0.00525 19 98.840 45.000 0.1481 2.0483 2.1964 0.9326 0.01075 0.00525 21 109.822 50.000 0.1481 2.0483 2.1964 0.9326 0.01075 0.00525 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.6359E-01 8 20.00 8.7122E-01 7 30.00 7.4001E-01 6 40.00 5.9319E-01 5 50.00 4.5178E-01 4 60.00 3.2986E-01 3 70.00 2.3350E-01 2 80.00 1.6295E-01 1 87.50 1.2225E-01 1 92.50 9.7678E-02 2 100.00 7.3128E-02 3 110.00 5.1639E-02 4 120.00 3.7356E-02 5 130.00 2.8114E-02 6 140.00 2.2208E-02 7 150.00 1.8497E-02 8 160.00 1.6258E-02 9 170.00 1.5058E-02 10 180.00 1.4643E-02 Asymptotic AOP values are MUu(inf) = 0.3447 MUd(inf) = 0.6681 MU(inf) = 0.5674 R(inf) = 0.0570 Lu(inf)/Ed(inf) = 0.008658 (1/sr) k(inf) = 0.2610 (1/m) absorp(check) = 0.1481 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 515.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 8.6494E-02 6.2303E-01 7.0952E-01 2.4636E-02 3.5156E-01 0.2848 0.5643 0.4608 7.0076E-02 1 0.00 0.00 3.6310E-02 4.2543E-01 4.6174E-01 1.4813E-02 3.4173E-01 0.4080 0.8033 0.7080 4.3347E-02 3 10.98 5.00 1.6605E-02 1.5258E-01 1.6918E-01 5.7964E-03 1.0371E-01 0.3491 0.6797 0.5788 5.5889E-02 5 21.96 10.00 4.7020E-03 4.2580E-02 4.7282E-02 1.6250E-03 2.8530E-02 0.3456 0.6700 0.5690 5.6958E-02 7 32.95 15.00 1.2837E-03 1.1606E-02 1.2890E-02 4.4287E-04 7.7581E-03 0.3450 0.6684 0.5675 5.7085E-02 9 43.93 20.00 3.4843E-04 3.1505E-03 3.4989E-03 1.2015E-04 2.1050E-03 0.3448 0.6681 0.5673 5.7078E-02 11 54.91 25.00 9.4470E-05 8.5444E-04 9.4891E-04 3.2570E-05 5.7084E-04 0.3448 0.6681 0.5673 5.7056E-02 13 65.89 30.00 2.5610E-05 2.3168E-04 2.5729E-04 8.8289E-06 1.5479E-04 0.3447 0.6681 0.5673 5.7039E-02 15 76.88 35.00 6.9429E-06 6.2819E-05 6.9761E-05 2.3934E-06 4.1969E-05 0.3447 0.6681 0.5673 5.7027E-02 17 87.86 40.00 1.8823E-06 1.7032E-05 1.8914E-05 6.4883E-07 1.1379E-05 0.3447 0.6681 0.5673 5.7019E-02 19 98.84 45.00 5.1029E-07 4.6179E-06 5.1281E-06 1.7590E-07 3.0852E-06 0.3447 0.6681 0.5673 5.7014E-02 21 109.82 50.00 1.3835E-07 1.2520E-06 1.3904E-06 4.7687E-08 8.3649E-07 0.3447 0.6681 0.5673 5.7009E-02 K-functions (units of 1/meter) at 515.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.05334 0.15043 0.14279 0.06195 0.20218 0.20853 0.17683 5.000 5.010 5.005 0.24082 0.24816 0.24744 0.24561 0.25486 0.25541 0.25382 10.000 10.010 10.005 0.25808 0.25891 0.25883 0.25877 0.25990 0.25996 0.26013 15.000 15.010 15.005 0.26054 0.26059 0.26058 0.26070 0.26077 0.26078 0.26105 20.000 20.010 20.005 0.26098 0.26092 0.26093 0.26103 0.26096 0.26095 0.26115 25.000 25.010 25.005 0.26105 0.26100 0.26101 0.26107 0.26101 0.26100 0.26113 30.000 30.010 30.005 0.26106 0.26102 0.26103 0.26107 0.26102 0.26102 0.26110 35.000 35.010 35.005 0.26105 0.26103 0.26103 0.26106 0.26103 0.26102 0.26108 40.000 40.010 40.005 0.26108 0.26105 0.26105 0.26106 0.26103 0.26103 0.26107 45.000 45.010 45.005 0.26104 0.26103 0.26103 0.26104 0.26103 0.26103 0.26105 50.000 50.010 50.005 0.26102 0.26102 0.26102 0.26104 0.26103 0.26103 0.26106 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 515.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.38699E-01 1.54559E-03 2.70967E-03 4.25526E-03 4.39633E-03 0.019536 9 1 10.0 0.0 180.0 1.28399E-01 1.57502E-03 2.53649E-03 4.11151E-03 4.48005E-03 0.019755 9 4 10.0 45.0 135.0 1.30248E-01 1.57253E-03 2.57267E-03 4.14520E-03 4.47297E-03 0.019752 9 7 10.0 90.0 90.0 1.36057E-01 1.57803E-03 2.67994E-03 4.25796E-03 4.48859E-03 0.019697 8 1 20.0 0.0 180.0 1.20507E-01 1.62052E-03 2.42310E-03 4.04362E-03 4.60946E-03 0.020108 8 4 20.0 45.0 135.0 1.22663E-01 1.61151E-03 2.46841E-03 4.07992E-03 4.58384E-03 0.020123 8 7 20.0 90.0 90.0 1.30269E-01 1.62376E-03 2.60311E-03 4.22687E-03 4.61867E-03 0.019983 7 1 30.0 0.0 180.0 1.12587E-01 1.68897E-03 2.39907E-03 4.08804E-03 4.80418E-03 0.021309 7 4 30.0 45.0 135.0 1.14617E-01 1.69677E-03 2.44554E-03 4.14231E-03 4.82635E-03 0.021337 7 7 30.0 90.0 90.0 1.22232E-01 1.70556E-03 2.59962E-03 4.30517E-03 4.85135E-03 0.021268 6 1 40.0 0.0 180.0 1.04532E-01 1.79105E-03 2.59476E-03 4.38582E-03 5.09454E-03 0.024823 6 4 40.0 45.0 135.0 1.06279E-01 1.79989E-03 2.63420E-03 4.43408E-03 5.11967E-03 0.024786 6 7 40.0 90.0 90.0 1.13027E-01 1.81483E-03 2.81058E-03 4.62542E-03 5.16218E-03 0.024866 5 1 50.0 0.0 180.0 9.62004E-02 1.91216E-03 3.33009E-03 5.24225E-03 5.43901E-03 0.034616 5 4 50.0 45.0 135.0 9.76388E-02 1.91226E-03 3.38712E-03 5.29939E-03 5.43932E-03 0.034690 5 7 50.0 90.0 90.0 1.03253E-01 1.92982E-03 3.58521E-03 5.51503E-03 5.48925E-03 0.034723 4 1 60.0 0.0 180.0 8.75430E-02 1.98732E-03 5.44094E-03 7.42826E-03 5.65280E-03 0.062152 4 4 60.0 45.0 135.0 8.86994E-02 1.98443E-03 5.49950E-03 7.48393E-03 5.64457E-03 0.062002 4 7 60.0 90.0 90.0 9.32081E-02 2.02329E-03 5.82495E-03 7.84824E-03 5.75513E-03 0.062494 3 1 70.0 0.0 180.0 7.85994E-02 1.95440E-03 1.08139E-02 1.27683E-02 5.55917E-03 0.137583 3 4 70.0 45.0 135.0 7.95172E-02 1.97018E-03 1.09766E-02 1.29467E-02 5.60405E-03 0.138040 3 7 70.0 90.0 90.0 8.30631E-02 2.00075E-03 1.16589E-02 1.36597E-02 5.69102E-03 0.140362 2 1 80.0 0.0 180.0 6.94778E-02 1.76067E-03 2.20605E-02 2.38212E-02 5.00812E-03 0.317518 2 4 80.0 45.0 135.0 7.02023E-02 1.76889E-03 2.27741E-02 2.45430E-02 5.03149E-03 0.324406 2 7 80.0 90.0 90.0 7.29558E-02 1.78617E-03 2.40096E-02 2.57958E-02 5.08066E-03 0.329098 1 1 87.5 0.0 180.0 6.26211E-02 1.48392E-03 3.67032E-02 3.81872E-02 4.22091E-03 0.586116 1 4 87.5 45.0 135.0 6.32276E-02 1.41547E-03 3.86213E-02 4.00368E-02 4.02622E-03 0.610829 1 7 87.5 90.0 90.0 6.54941E-02 1.57226E-03 4.01996E-02 4.17719E-02 4.47220E-03 0.613790 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 515.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 4.255E-03 1.387E-01 5.040E-02 5.363E-02 5.993E-02 1.210E-02 5.790E+00 1.546E-03 4.396E-03 1 0.00 0.00 2.862E-03 2.446E-01 8.916E-03 9.374E-03 9.750E-03 8.376E-03 5.175E+00 3 10.98 5.00 9.023E-04 6.584E-02 6.094E-03 6.338E-03 6.672E-03 8.700E-03 6.424E+00 5 21.96 10.00 2.484E-04 1.716E-02 1.801E-03 1.839E-03 1.881E-03 8.707E-03 6.541E+00 7 32.95 15.00 6.746E-05 4.603E-03 4.993E-04 5.040E-04 5.089E-04 8.695E-03 6.565E+00 9 43.93 20.00 1.828E-05 1.245E-03 1.364E-04 1.369E-04 1.375E-04 8.685E-03 6.572E+00 11 54.91 25.00 4.954E-06 3.375E-04 3.707E-05 3.714E-05 3.720E-05 8.678E-03 6.575E+00 13 65.89 30.00 1.342E-06 9.152E-05 1.006E-05 1.007E-05 1.008E-05 8.673E-03 6.576E+00 15 76.88 35.00 3.639E-07 2.481E-05 2.729E-06 2.730E-06 2.731E-06 8.670E-03 6.577E+00 17 87.86 40.00 9.864E-08 6.728E-06 7.400E-07 7.401E-07 7.402E-07 8.668E-03 6.578E+00 19 98.84 45.00 2.674E-08 1.824E-06 2.006E-07 2.007E-07 2.007E-07 8.667E-03 6.578E+00 21 109.82 50.00 7.249E-09 4.946E-07 5.440E-08 5.440E-08 5.440E-08 8.666E-03 6.579E+00 Waveband 12 of 30 completed in 20.2 sec. * * * * * Output for wavelength band 13 (520.0 to 530.0 nm; nominal wavelength = 525.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 59.2 m at 525.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 520.0 nm to 530.0 nm: Ed(diffuse) = 4.132E-01 Ed(direct) = 1.024E+00 Ed(total) = 1.437E+00 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 3.593E-01 Ed(direct) = 0.000E+00 Ed(total) = 3.593E-01 Absorption Coefficients of Individual Components at 525.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0417 0.0869 0.0000 0.0118 0.1405 3 10.943 5.000 0.0417 0.0869 0.0000 0.0118 0.1405 5 21.886 10.000 0.0417 0.0869 0.0000 0.0118 0.1405 7 32.829 15.000 0.0417 0.0869 0.0000 0.0118 0.1405 9 43.772 20.000 0.0417 0.0869 0.0000 0.0118 0.1405 11 54.716 25.000 0.0417 0.0869 0.0000 0.0118 0.1405 13 65.659 30.000 0.0417 0.0869 0.0000 0.0118 0.1405 15 76.602 35.000 0.0417 0.0869 0.0000 0.0118 0.1405 17 87.545 40.000 0.0417 0.0869 0.0000 0.0118 0.1405 19 98.488 45.000 0.0417 0.0869 0.0000 0.0118 0.1405 21 109.431 50.000 0.0417 0.0869 0.0000 0.0118 0.1405 Scattering Coefficients of Individual Components at 525.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0023 0.4797 1.5661 0.0000 2.0481 3 10.943 5.000 0.0023 0.4797 1.5661 0.0000 2.0481 5 21.886 10.000 0.0023 0.4797 1.5661 0.0000 2.0481 7 32.829 15.000 0.0023 0.4797 1.5661 0.0000 2.0481 9 43.772 20.000 0.0023 0.4797 1.5661 0.0000 2.0481 11 54.716 25.000 0.0023 0.4797 1.5661 0.0000 2.0481 13 65.659 30.000 0.0023 0.4797 1.5661 0.0000 2.0481 15 76.602 35.000 0.0023 0.4797 1.5661 0.0000 2.0481 17 87.545 40.000 0.0023 0.4797 1.5661 0.0000 2.0481 19 98.488 45.000 0.0023 0.4797 1.5661 0.0000 2.0481 21 109.431 50.000 0.0023 0.4797 1.5661 0.0000 2.0481 Backscattering Coefficients of Individual Components at 525.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00117 0.00672 0.00276 0.00000 0.01065 3 10.943 5.000 0.00117 0.00672 0.00276 0.00000 0.01065 5 21.886 10.000 0.00117 0.00672 0.00276 0.00000 0.01065 7 32.829 15.000 0.00117 0.00672 0.00276 0.00000 0.01065 9 43.772 20.000 0.00117 0.00672 0.00276 0.00000 0.01065 11 54.716 25.000 0.00117 0.00672 0.00276 0.00000 0.01065 13 65.659 30.000 0.00117 0.00672 0.00276 0.00000 0.01065 15 76.602 35.000 0.00117 0.00672 0.00276 0.00000 0.01065 17 87.545 40.000 0.00117 0.00672 0.00276 0.00000 0.01065 19 98.488 45.000 0.00117 0.00672 0.00276 0.00000 0.01065 21 109.431 50.000 0.00117 0.00672 0.00276 0.00000 0.01065 Summary of Inherent Optical Properties at 525.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1405 2.0481 2.1886 0.9358 0.01065 0.00520 3 10.943 5.000 0.1405 2.0481 2.1886 0.9358 0.01065 0.00520 5 21.886 10.000 0.1405 2.0481 2.1886 0.9358 0.01065 0.00520 7 32.829 15.000 0.1405 2.0481 2.1886 0.9358 0.01065 0.00520 9 43.772 20.000 0.1405 2.0481 2.1886 0.9358 0.01065 0.00520 11 54.716 25.000 0.1405 2.0481 2.1886 0.9358 0.01065 0.00520 13 65.659 30.000 0.1405 2.0481 2.1886 0.9358 0.01065 0.00520 15 76.602 35.000 0.1405 2.0481 2.1886 0.9358 0.01065 0.00520 17 87.545 40.000 0.1405 2.0481 2.1886 0.9358 0.01065 0.00520 19 98.488 45.000 0.1405 2.0481 2.1886 0.9358 0.01065 0.00520 21 109.431 50.000 0.1405 2.0481 2.1886 0.9358 0.01065 0.00520 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.6454E-01 8 20.00 8.7442E-01 7 30.00 7.4591E-01 6 40.00 6.0136E-01 5 50.00 4.6118E-01 4 60.00 3.3936E-01 3 70.00 2.4221E-01 2 80.00 1.7042E-01 1 87.50 1.2862E-01 1 92.50 1.0321E-01 2 100.00 7.7674E-02 3 110.00 5.5160E-02 4 120.00 4.0074E-02 5 130.00 3.0240E-02 6 140.00 2.3916E-02 7 150.00 1.9921E-02 8 160.00 1.7501E-02 9 170.00 1.6200E-02 10 180.00 1.5751E-02 Asymptotic AOP values are MUu(inf) = 0.3463 MUd(inf) = 0.6645 MU(inf) = 0.5598 R(inf) = 0.0603 Lu(inf)/Ed(inf) = 0.009190 (1/sr) k(inf) = 0.2510 (1/m) absorp(check) = 0.1405 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 525.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 8.9157E-02 6.3681E-01 7.2596E-01 2.5558E-02 3.5934E-01 0.2867 0.5643 0.4598 7.1126E-02 1 0.00 0.00 3.9206E-02 4.3657E-01 4.7578E-01 1.6052E-02 3.4982E-01 0.4094 0.8013 0.7015 4.5885E-02 3 10.94 5.00 1.8791E-02 1.6501E-01 1.8380E-01 6.5937E-03 1.1166E-01 0.3509 0.6767 0.5716 5.9053E-02 5 21.89 10.00 5.6031E-03 4.8478E-02 5.4081E-02 1.9459E-03 3.2313E-02 0.3473 0.6666 0.5615 6.0221E-02 7 32.83 15.00 1.6092E-03 1.3899E-02 1.5508E-02 5.5782E-04 9.2408E-03 0.3466 0.6649 0.5599 6.0364E-02 9 43.77 20.00 4.5931E-04 3.9676E-03 4.4269E-03 1.5914E-04 2.6366E-03 0.3465 0.6645 0.5596 6.0358E-02 11 54.72 25.00 1.3096E-04 1.1315E-03 1.2625E-03 4.5365E-05 7.5188E-04 0.3464 0.6645 0.5596 6.0335E-02 13 65.66 30.00 3.7331E-05 3.2263E-04 3.5996E-04 1.2931E-05 2.1438E-04 0.3464 0.6645 0.5596 6.0316E-02 15 76.60 35.00 1.0642E-05 9.1987E-05 1.0263E-04 3.6860E-06 6.1124E-05 0.3464 0.6645 0.5597 6.0303E-02 17 87.54 40.00 3.0337E-06 2.6226E-05 2.9260E-05 1.0507E-06 1.7427E-05 0.3464 0.6645 0.5597 6.0293E-02 19 98.49 45.00 8.6484E-07 7.4771E-06 8.3420E-06 2.9954E-07 4.9685E-06 0.3463 0.6645 0.5597 6.0287E-02 21 109.43 50.00 2.4655E-07 2.1317E-06 2.3782E-06 8.5390E-08 1.4165E-06 0.3463 0.6645 0.5597 6.0282E-02 K-functions (units of 1/meter) at 525.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.05381 0.14448 0.13701 0.05733 0.19305 0.19958 0.16839 5.000 5.010 5.005 0.23029 0.23769 0.23693 0.23519 0.24466 0.24526 0.24359 10.000 10.010 10.005 0.24789 0.24875 0.24866 0.24862 0.24980 0.24988 0.25003 15.000 15.010 15.005 0.25045 0.25051 0.25050 0.25062 0.25071 0.25071 0.25099 20.000 20.010 20.005 0.25092 0.25087 0.25087 0.25098 0.25090 0.25090 0.25111 25.000 25.010 25.005 0.25101 0.25095 0.25096 0.25103 0.25095 0.25095 0.25109 30.000 30.010 30.005 0.25101 0.25097 0.25097 0.25102 0.25097 0.25096 0.25106 35.000 35.010 35.005 0.25100 0.25097 0.25098 0.25101 0.25097 0.25097 0.25103 40.000 40.010 40.005 0.25099 0.25098 0.25098 0.25100 0.25098 0.25098 0.25102 45.000 45.010 45.005 0.25101 0.25099 0.25099 0.25100 0.25098 0.25098 0.25101 50.000 50.010 50.005 0.25099 0.25098 0.25098 0.25100 0.25098 0.25098 0.25101 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 525.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.41766E-01 1.68033E-03 2.76959E-03 4.44993E-03 4.67619E-03 0.019536 9 1 10.0 0.0 180.0 1.31239E-01 1.71241E-03 2.59259E-03 4.30499E-03 4.76544E-03 0.019755 9 4 10.0 45.0 135.0 1.33128E-01 1.70976E-03 2.62957E-03 4.33933E-03 4.75808E-03 0.019752 9 7 10.0 90.0 90.0 1.39066E-01 1.71588E-03 2.73920E-03 4.45508E-03 4.77510E-03 0.019697 8 1 20.0 0.0 180.0 1.23172E-01 1.76224E-03 2.47669E-03 4.23892E-03 4.90412E-03 0.020108 8 4 20.0 45.0 135.0 1.25376E-01 1.75254E-03 2.52300E-03 4.27554E-03 4.87713E-03 0.020123 8 7 20.0 90.0 90.0 1.33150E-01 1.76608E-03 2.66068E-03 4.42676E-03 4.91482E-03 0.019983 7 1 30.0 0.0 180.0 1.15077E-01 1.83710E-03 2.45212E-03 4.28923E-03 5.11247E-03 0.021309 7 4 30.0 45.0 135.0 1.17152E-01 1.84571E-03 2.49963E-03 4.34534E-03 5.13642E-03 0.021337 7 7 30.0 90.0 90.0 1.24936E-01 1.85557E-03 2.65710E-03 4.51267E-03 5.16385E-03 0.021268 6 1 40.0 0.0 180.0 1.06844E-01 1.94858E-03 2.65215E-03 4.60073E-03 5.42270E-03 0.024823 6 4 40.0 45.0 135.0 1.08630E-01 1.95836E-03 2.69245E-03 4.65081E-03 5.44990E-03 0.024786 6 7 40.0 90.0 90.0 1.15527E-01 1.97499E-03 2.87274E-03 4.84772E-03 5.49617E-03 0.024866 5 1 50.0 0.0 180.0 9.83279E-02 2.08012E-03 3.40373E-03 5.48385E-03 5.78875E-03 0.034616 5 4 50.0 45.0 135.0 9.97980E-02 2.08041E-03 3.46203E-03 5.54244E-03 5.78957E-03 0.034690 5 7 50.0 90.0 90.0 1.05536E-01 2.09990E-03 3.66449E-03 5.76439E-03 5.84380E-03 0.034723 4 1 60.0 0.0 180.0 8.94790E-02 2.16130E-03 5.56127E-03 7.72257E-03 6.01468E-03 0.062152 4 4 60.0 45.0 135.0 9.06609E-02 2.15835E-03 5.62112E-03 7.77947E-03 6.00645E-03 0.062002 4 7 60.0 90.0 90.0 9.52693E-02 2.20101E-03 5.95377E-03 8.15478E-03 6.12518E-03 0.062494 3 1 70.0 0.0 180.0 8.03376E-02 2.12400E-03 1.10531E-02 1.31771E-02 5.91086E-03 0.137583 3 4 70.0 45.0 135.0 8.12757E-02 2.14132E-03 1.12193E-02 1.33606E-02 5.95908E-03 0.138040 3 7 70.0 90.0 90.0 8.49000E-02 2.17489E-03 1.19168E-02 1.40917E-02 6.05248E-03 0.140362 2 1 80.0 0.0 180.0 7.10143E-02 1.91192E-03 2.25484E-02 2.44603E-02 5.32067E-03 0.317518 2 4 80.0 45.0 135.0 7.17548E-02 1.92097E-03 2.32777E-02 2.51987E-02 5.34586E-03 0.324406 2 7 80.0 90.0 90.0 7.45692E-02 1.94004E-03 2.45406E-02 2.64806E-02 5.39893E-03 0.329098 1 1 87.5 0.0 180.0 6.40059E-02 1.60968E-03 3.75149E-02 3.91246E-02 4.47958E-03 0.586116 1 4 87.5 45.0 135.0 6.46259E-02 1.53556E-03 3.94754E-02 4.10110E-02 4.27330E-03 0.610829 1 7 87.5 90.0 90.0 6.69425E-02 1.70583E-03 4.10886E-02 4.27945E-02 4.74716E-03 0.613790 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 525.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 4.450E-03 1.418E-01 5.157E-02 5.487E-02 6.131E-02 1.238E-02 5.743E+00 1.680E-03 4.676E-03 1 0.00 0.00 3.112E-03 2.501E-01 9.572E-03 1.006E-02 1.046E-02 8.895E-03 5.158E+00 3 10.94 5.00 1.031E-03 7.025E-02 6.809E-03 7.082E-03 7.453E-03 9.233E-03 6.396E+00 5 21.89 10.00 2.986E-04 1.920E-02 2.121E-03 2.165E-03 2.214E-03 9.242E-03 6.516E+00 7 32.83 15.00 8.528E-05 5.412E-03 6.185E-04 6.244E-04 6.305E-04 9.229E-03 6.541E+00 9 43.77 20.00 2.430E-05 1.539E-03 1.776E-04 1.784E-04 1.792E-04 9.218E-03 6.548E+00 11 54.72 25.00 6.925E-06 4.387E-04 5.078E-05 5.088E-05 5.097E-05 9.210E-03 6.551E+00 13 65.66 30.00 1.973E-06 1.251E-04 1.449E-05 1.451E-05 1.452E-05 9.205E-03 6.553E+00 15 76.60 35.00 5.624E-07 3.566E-05 4.134E-06 4.135E-06 4.137E-06 9.202E-03 6.554E+00 17 87.54 40.00 1.603E-07 1.017E-05 1.179E-06 1.179E-06 1.179E-06 9.199E-03 6.554E+00 19 98.49 45.00 4.570E-08 2.899E-06 3.361E-07 3.361E-07 3.361E-07 9.198E-03 6.555E+00 21 109.43 50.00 1.303E-08 8.265E-07 9.582E-08 9.582E-08 9.582E-08 9.196E-03 6.555E+00 Waveband 13 of 30 completed in 20.3 sec. * * * * * Output for wavelength band 14 (530.0 to 540.0 nm; nominal wavelength = 535.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 59.2 m at 535.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 530.0 nm to 540.0 nm: Ed(diffuse) = 4.123E-01 Ed(direct) = 1.041E+00 Ed(total) = 1.453E+00 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 3.633E-01 Ed(direct) = 0.000E+00 Ed(total) = 3.633E-01 Absorption Coefficients of Individual Components at 535.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0452 0.0791 0.0000 0.0103 0.1346 3 10.913 5.000 0.0452 0.0791 0.0000 0.0103 0.1346 5 21.826 10.000 0.0452 0.0791 0.0000 0.0103 0.1346 7 32.739 15.000 0.0452 0.0791 0.0000 0.0103 0.1346 9 43.652 20.000 0.0452 0.0791 0.0000 0.0103 0.1346 11 54.565 25.000 0.0452 0.0791 0.0000 0.0103 0.1346 13 65.478 30.000 0.0452 0.0791 0.0000 0.0103 0.1346 15 76.391 35.000 0.0452 0.0791 0.0000 0.0103 0.1346 17 87.303 40.000 0.0452 0.0791 0.0000 0.0103 0.1346 19 98.216 45.000 0.0452 0.0791 0.0000 0.0103 0.1346 21 109.129 50.000 0.0452 0.0791 0.0000 0.0103 0.1346 Scattering Coefficients of Individual Components at 535.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0022 0.4797 1.5661 0.0000 2.0479 3 10.913 5.000 0.0022 0.4797 1.5661 0.0000 2.0479 5 21.826 10.000 0.0022 0.4797 1.5661 0.0000 2.0479 7 32.739 15.000 0.0022 0.4797 1.5661 0.0000 2.0479 9 43.652 20.000 0.0022 0.4797 1.5661 0.0000 2.0479 11 54.565 25.000 0.0022 0.4797 1.5661 0.0000 2.0479 13 65.478 30.000 0.0022 0.4797 1.5661 0.0000 2.0479 15 76.391 35.000 0.0022 0.4797 1.5661 0.0000 2.0479 17 87.303 40.000 0.0022 0.4797 1.5661 0.0000 2.0479 19 98.216 45.000 0.0022 0.4797 1.5661 0.0000 2.0479 21 109.129 50.000 0.0022 0.4797 1.5661 0.0000 2.0479 Backscattering Coefficients of Individual Components at 535.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00108 0.00672 0.00276 0.00000 0.01056 3 10.913 5.000 0.00108 0.00672 0.00276 0.00000 0.01056 5 21.826 10.000 0.00108 0.00672 0.00276 0.00000 0.01056 7 32.739 15.000 0.00108 0.00672 0.00276 0.00000 0.01056 9 43.652 20.000 0.00108 0.00672 0.00276 0.00000 0.01056 11 54.565 25.000 0.00108 0.00672 0.00276 0.00000 0.01056 13 65.478 30.000 0.00108 0.00672 0.00276 0.00000 0.01056 15 76.391 35.000 0.00108 0.00672 0.00276 0.00000 0.01056 17 87.303 40.000 0.00108 0.00672 0.00276 0.00000 0.01056 19 98.216 45.000 0.00108 0.00672 0.00276 0.00000 0.01056 21 109.129 50.000 0.00108 0.00672 0.00276 0.00000 0.01056 Summary of Inherent Optical Properties at 535.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1346 2.0479 2.1826 0.9383 0.01056 0.00516 3 10.913 5.000 0.1346 2.0479 2.1826 0.9383 0.01056 0.00516 5 21.826 10.000 0.1346 2.0479 2.1826 0.9383 0.01056 0.00516 7 32.739 15.000 0.1346 2.0479 2.1826 0.9383 0.01056 0.00516 9 43.652 20.000 0.1346 2.0479 2.1826 0.9383 0.01056 0.00516 11 54.565 25.000 0.1346 2.0479 2.1826 0.9383 0.01056 0.00516 13 65.478 30.000 0.1346 2.0479 2.1826 0.9383 0.01056 0.00516 15 76.391 35.000 0.1346 2.0479 2.1826 0.9383 0.01056 0.00516 17 87.303 40.000 0.1346 2.0479 2.1826 0.9383 0.01056 0.00516 19 98.216 45.000 0.1346 2.0479 2.1826 0.9383 0.01056 0.00516 21 109.129 50.000 0.1346 2.0479 2.1826 0.9383 0.01056 0.00516 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.6529E-01 8 20.00 8.7693E-01 7 30.00 7.5057E-01 6 40.00 6.0785E-01 5 50.00 4.6869E-01 4 60.00 3.4700E-01 3 70.00 2.4928E-01 2 80.00 1.7653E-01 1 87.50 1.3387E-01 1 92.50 1.0778E-01 2 100.00 8.1453E-02 3 110.00 5.8106E-02 4 120.00 4.2360E-02 5 130.00 3.2035E-02 6 140.00 2.5361E-02 7 150.00 2.1128E-02 8 160.00 1.8555E-02 9 170.00 1.7169E-02 10 180.00 1.6690E-02 Asymptotic AOP values are MUu(inf) = 0.3477 MUd(inf) = 0.6617 MU(inf) = 0.5536 R(inf) = 0.0630 Lu(inf)/Ed(inf) = 0.009636 (1/sr) k(inf) = 0.2432 (1/m) absorp(check) = 0.1346 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 535.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 9.0779E-02 6.4386E-01 7.3464E-01 2.6160E-02 3.6332E-01 0.2882 0.5643 0.4589 7.2004E-02 1 0.00 0.00 4.1400E-02 4.4286E-01 4.8426E-01 1.6998E-02 3.5415E-01 0.4106 0.7997 0.6962 4.7995E-02 3 10.91 5.00 2.0574E-02 1.7430E-01 1.9488E-01 7.2495E-03 1.1753E-01 0.3524 0.6743 0.5659 6.1683E-02 5 21.83 10.00 6.3855E-03 5.3291E-02 5.9677E-02 2.2264E-03 3.5374E-02 0.3487 0.6638 0.5555 6.2939E-02 7 32.74 15.00 1.9072E-03 1.5889E-02 1.7797E-02 6.6372E-04 1.0519E-02 0.3480 0.6620 0.5538 6.3097E-02 9 43.65 20.00 5.6605E-04 4.7162E-03 5.2823E-03 1.9688E-04 3.1206E-03 0.3478 0.6617 0.5535 6.3091E-02 11 54.56 25.00 1.6780E-04 1.3985E-03 1.5663E-03 5.8353E-05 9.2527E-04 0.3478 0.6616 0.5535 6.3066E-02 13 65.48 30.00 4.9732E-05 4.1459E-04 4.6432E-04 1.7293E-05 2.7430E-04 0.3477 0.6616 0.5535 6.3045E-02 15 76.39 35.00 1.4740E-05 1.2290E-04 1.3764E-04 5.1252E-06 8.1314E-05 0.3477 0.6616 0.5535 6.3030E-02 17 87.30 40.00 4.3688E-06 3.6431E-05 4.0800E-05 1.5190E-06 2.4104E-05 0.3477 0.6616 0.5536 6.3019E-02 19 98.22 45.00 1.2949E-06 1.0799E-05 1.2094E-05 4.5022E-07 7.1451E-06 0.3477 0.6616 0.5536 6.3012E-02 21 109.13 50.00 3.8381E-07 3.2011E-06 3.5849E-06 1.3344E-07 2.1180E-06 0.3477 0.6616 0.5536 6.3006E-02 K-functions (units of 1/meter) at 535.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.05488 0.14012 0.13283 0.05382 0.18604 0.19271 0.16183 5.000 5.010 5.005 0.22210 0.22956 0.22878 0.22710 0.23677 0.23741 0.23565 10.000 10.010 10.005 0.24000 0.24088 0.24078 0.24074 0.24198 0.24206 0.24220 15.000 15.010 15.005 0.24264 0.24270 0.24269 0.24281 0.24291 0.24291 0.24319 20.000 20.010 20.005 0.24314 0.24308 0.24308 0.24319 0.24311 0.24311 0.24332 25.000 25.010 25.005 0.24322 0.24316 0.24317 0.24324 0.24316 0.24316 0.24330 30.000 30.010 30.005 0.24321 0.24318 0.24318 0.24323 0.24318 0.24317 0.24327 35.000 35.010 35.005 0.24322 0.24319 0.24319 0.24323 0.24319 0.24318 0.24325 40.000 40.010 40.005 0.24321 0.24319 0.24319 0.24322 0.24319 0.24319 0.24323 45.000 45.010 45.005 0.24319 0.24319 0.24319 0.24321 0.24319 0.24319 0.24322 50.000 50.010 50.005 0.24320 0.24319 0.24319 0.24321 0.24319 0.24319 0.24322 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 535.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.43337E-01 1.78408E-03 2.80029E-03 4.58437E-03 4.91049E-03 0.019536 9 1 10.0 0.0 180.0 1.32694E-01 1.81819E-03 2.62132E-03 4.43951E-03 5.00437E-03 0.019755 9 4 10.0 45.0 135.0 1.34604E-01 1.81543E-03 2.65871E-03 4.47414E-03 4.99678E-03 0.019752 9 7 10.0 90.0 90.0 1.40607E-01 1.82205E-03 2.76956E-03 4.59161E-03 5.01499E-03 0.019697 8 1 20.0 0.0 180.0 1.24537E-01 1.87140E-03 2.50413E-03 4.37554E-03 5.15083E-03 0.020108 8 4 20.0 45.0 135.0 1.26765E-01 1.86119E-03 2.55096E-03 4.41215E-03 5.12271E-03 0.020123 8 7 20.0 90.0 90.0 1.34626E-01 1.87576E-03 2.69017E-03 4.56593E-03 5.16282E-03 0.019983 7 1 30.0 0.0 180.0 1.16353E-01 1.95124E-03 2.47930E-03 4.43055E-03 5.37059E-03 0.021309 7 4 30.0 45.0 135.0 1.18450E-01 1.96050E-03 2.52733E-03 4.48783E-03 5.39605E-03 0.021337 7 7 30.0 90.0 90.0 1.26320E-01 1.97122E-03 2.68655E-03 4.65778E-03 5.42557E-03 0.021268 6 1 40.0 0.0 180.0 1.08028E-01 2.06999E-03 2.68154E-03 4.75153E-03 5.69743E-03 0.024823 6 4 40.0 45.0 135.0 1.09833E-01 2.08051E-03 2.72229E-03 4.80280E-03 5.72639E-03 0.024786 6 7 40.0 90.0 90.0 1.16807E-01 2.09849E-03 2.90458E-03 5.00307E-03 5.77587E-03 0.024866 5 1 50.0 0.0 180.0 9.94176E-02 2.20950E-03 3.44146E-03 5.65096E-03 6.08140E-03 0.034616 5 4 50.0 45.0 135.0 1.00904E-01 2.20996E-03 3.50040E-03 5.71036E-03 6.08268E-03 0.034690 5 7 50.0 90.0 90.0 1.06706E-01 2.23100E-03 3.70511E-03 5.93611E-03 6.14058E-03 0.034723 4 1 60.0 0.0 180.0 9.04707E-02 2.29520E-03 5.62290E-03 7.91811E-03 6.31729E-03 0.062152 4 4 60.0 45.0 135.0 9.16657E-02 2.29222E-03 5.68342E-03 7.97564E-03 6.30909E-03 0.062002 4 7 60.0 90.0 90.0 9.63252E-02 2.33788E-03 6.01975E-03 8.35763E-03 6.43475E-03 0.062494 3 1 70.0 0.0 180.0 8.12280E-02 2.25428E-03 1.11756E-02 1.34299E-02 6.20466E-03 0.137583 3 4 70.0 45.0 135.0 8.21765E-02 2.27283E-03 1.13436E-02 1.36165E-02 6.25570E-03 0.138040 3 7 70.0 90.0 90.0 8.58410E-02 2.30874E-03 1.20488E-02 1.43576E-02 6.35456E-03 0.140362 2 1 80.0 0.0 180.0 7.18014E-02 2.02787E-03 2.27983E-02 2.48261E-02 5.58149E-03 0.317518 2 4 80.0 45.0 135.0 7.25500E-02 2.03759E-03 2.35357E-02 2.55733E-02 5.60825E-03 0.324406 2 7 80.0 90.0 90.0 7.53956E-02 2.05808E-03 2.48126E-02 2.68706E-02 5.66465E-03 0.329098 1 1 87.5 0.0 180.0 6.47153E-02 1.70586E-03 3.79307E-02 3.96366E-02 4.69519E-03 0.586116 1 4 87.5 45.0 135.0 6.53421E-02 1.62742E-03 3.99129E-02 4.15403E-02 4.47928E-03 0.610829 1 7 87.5 90.0 90.0 6.76844E-02 1.80804E-03 4.15440E-02 4.33521E-02 4.97644E-03 0.613790 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 535.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 4.584E-03 1.433E-01 5.218E-02 5.552E-02 6.203E-02 1.262E-02 5.706E+00 1.784E-03 4.910E-03 1 0.00 0.00 3.304E-03 2.528E-01 1.006E-02 1.058E-02 1.099E-02 9.329E-03 5.145E+00 3 10.91 5.00 1.138E-03 7.341E-02 7.379E-03 7.675E-03 8.076E-03 9.681E-03 6.372E+00 5 21.83 10.00 3.428E-04 2.082E-02 2.394E-03 2.443E-03 2.500E-03 9.691E-03 6.494E+00 7 32.74 15.00 1.018E-04 6.097E-03 7.261E-04 7.330E-04 7.403E-04 9.678E-03 6.520E+00 9 43.65 20.00 3.016E-05 1.803E-03 2.169E-04 2.178E-04 2.187E-04 9.666E-03 6.527E+00 11 54.56 25.00 8.936E-06 5.343E-04 6.446E-05 6.458E-05 6.470E-05 9.657E-03 6.530E+00 13 65.48 30.00 2.647E-06 1.584E-04 1.913E-05 1.914E-05 1.916E-05 9.652E-03 6.532E+00 15 76.39 35.00 7.845E-07 4.695E-05 5.672E-06 5.674E-06 5.677E-06 9.648E-03 6.533E+00 17 87.30 40.00 2.325E-07 1.392E-05 1.682E-06 1.682E-06 1.682E-06 9.645E-03 6.534E+00 19 98.22 45.00 6.890E-08 4.125E-06 4.985E-07 4.985E-07 4.986E-07 9.643E-03 6.534E+00 21 109.13 50.00 2.042E-08 1.223E-06 1.478E-07 1.478E-07 1.478E-07 9.642E-03 6.534E+00 Waveband 14 of 30 completed in 20.4 sec. * * * * * Output for wavelength band 15 (540.0 to 550.0 nm; nominal wavelength = 545.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 59.2 m at 545.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 540.0 nm to 550.0 nm: Ed(diffuse) = 4.017E-01 Ed(direct) = 1.032E+00 Ed(total) = 1.434E+00 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 3.585E-01 Ed(direct) = 0.000E+00 Ed(total) = 3.585E-01 Absorption Coefficients of Individual Components at 545.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0511 0.0722 0.0000 0.0090 0.1323 3 10.900 5.000 0.0511 0.0722 0.0000 0.0090 0.1323 5 21.801 10.000 0.0511 0.0722 0.0000 0.0090 0.1323 7 32.701 15.000 0.0511 0.0722 0.0000 0.0090 0.1323 9 43.601 20.000 0.0511 0.0722 0.0000 0.0090 0.1323 11 54.502 25.000 0.0511 0.0722 0.0000 0.0090 0.1323 13 65.402 30.000 0.0511 0.0722 0.0000 0.0090 0.1323 15 76.302 35.000 0.0511 0.0722 0.0000 0.0090 0.1323 17 87.203 40.000 0.0511 0.0722 0.0000 0.0090 0.1323 19 98.103 45.000 0.0511 0.0722 0.0000 0.0090 0.1323 21 109.004 50.000 0.0511 0.0722 0.0000 0.0090 0.1323 Scattering Coefficients of Individual Components at 545.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0020 0.4797 1.5661 0.0000 2.0478 3 10.900 5.000 0.0020 0.4797 1.5661 0.0000 2.0478 5 21.801 10.000 0.0020 0.4797 1.5661 0.0000 2.0478 7 32.701 15.000 0.0020 0.4797 1.5661 0.0000 2.0478 9 43.601 20.000 0.0020 0.4797 1.5661 0.0000 2.0478 11 54.502 25.000 0.0020 0.4797 1.5661 0.0000 2.0478 13 65.402 30.000 0.0020 0.4797 1.5661 0.0000 2.0478 15 76.302 35.000 0.0020 0.4797 1.5661 0.0000 2.0478 17 87.203 40.000 0.0020 0.4797 1.5661 0.0000 2.0478 19 98.103 45.000 0.0020 0.4797 1.5661 0.0000 2.0478 21 109.004 50.000 0.0020 0.4797 1.5661 0.0000 2.0478 Backscattering Coefficients of Individual Components at 545.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00100 0.00672 0.00276 0.00000 0.01048 3 10.900 5.000 0.00100 0.00672 0.00276 0.00000 0.01048 5 21.801 10.000 0.00100 0.00672 0.00276 0.00000 0.01048 7 32.701 15.000 0.00100 0.00672 0.00276 0.00000 0.01048 9 43.601 20.000 0.00100 0.00672 0.00276 0.00000 0.01048 11 54.502 25.000 0.00100 0.00672 0.00276 0.00000 0.01048 13 65.402 30.000 0.00100 0.00672 0.00276 0.00000 0.01048 15 76.302 35.000 0.00100 0.00672 0.00276 0.00000 0.01048 17 87.203 40.000 0.00100 0.00672 0.00276 0.00000 0.01048 19 98.103 45.000 0.00100 0.00672 0.00276 0.00000 0.01048 21 109.004 50.000 0.00100 0.00672 0.00276 0.00000 0.01048 Summary of Inherent Optical Properties at 545.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1323 2.0478 2.1801 0.9393 0.01048 0.00512 3 10.900 5.000 0.1323 2.0478 2.1801 0.9393 0.01048 0.00512 5 21.801 10.000 0.1323 2.0478 2.1801 0.9393 0.01048 0.00512 7 32.701 15.000 0.1323 2.0478 2.1801 0.9393 0.01048 0.00512 9 43.601 20.000 0.1323 2.0478 2.1801 0.9393 0.01048 0.00512 11 54.502 25.000 0.1323 2.0478 2.1801 0.9393 0.01048 0.00512 13 65.402 30.000 0.1323 2.0478 2.1801 0.9393 0.01048 0.00512 15 76.302 35.000 0.1323 2.0478 2.1801 0.9393 0.01048 0.00512 17 87.203 40.000 0.1323 2.0478 2.1801 0.9393 0.01048 0.00512 19 98.103 45.000 0.1323 2.0478 2.1801 0.9393 0.01048 0.00512 21 109.004 50.000 0.1323 2.0478 2.1801 0.9393 0.01048 0.00512 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.6559E-01 8 20.00 8.7795E-01 7 30.00 7.5247E-01 6 40.00 6.1048E-01 5 50.00 4.7176E-01 4 60.00 3.5012E-01 3 70.00 2.5217E-01 2 80.00 1.7903E-01 1 87.50 1.3601E-01 1 92.50 1.0964E-01 2 100.00 8.2992E-02 3 110.00 5.9298E-02 4 120.00 4.3276E-02 5 130.00 3.2745E-02 6 140.00 2.5924E-02 7 150.00 2.1590E-02 8 160.00 1.8952E-02 9 170.00 1.7531E-02 10 180.00 1.7039E-02 Asymptotic AOP values are MUu(inf) = 0.3481 MUd(inf) = 0.6605 MU(inf) = 0.5512 R(inf) = 0.0640 Lu(inf)/Ed(inf) = 0.009796 (1/sr) k(inf) = 0.2400 (1/m) absorp(check) = 0.1323 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 545.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 8.9805E-02 6.3531E-01 7.2511E-01 2.5928E-02 3.5849E-01 0.2887 0.5643 0.4586 7.2326E-02 1 0.00 0.00 4.1509E-02 4.3752E-01 4.7903E-01 1.7056E-02 3.4961E-01 0.4109 0.7991 0.6942 4.8786E-02 3 10.90 5.00 2.0951E-02 1.7510E-01 1.9605E-01 7.3920E-03 1.1789E-01 0.3528 0.6733 0.5637 6.2700E-02 5 21.80 10.00 6.6112E-03 5.4419E-02 6.1031E-02 2.3079E-03 3.6063E-02 0.3491 0.6627 0.5531 6.3997E-02 7 32.70 15.00 2.0069E-03 1.6490E-02 1.8497E-02 6.9922E-04 1.0898E-02 0.3484 0.6609 0.5514 6.4162E-02 9 43.60 20.00 6.0525E-04 4.9736E-03 5.5789E-03 2.1077E-04 3.2852E-03 0.3482 0.6605 0.5511 6.4156E-02 11 54.50 25.00 1.8232E-04 1.4986E-03 1.6810E-03 6.3476E-05 9.8981E-04 0.3482 0.6605 0.5511 6.4129E-02 13 65.40 30.00 5.4908E-05 4.5146E-04 5.0637E-04 1.9115E-05 2.9818E-04 0.3481 0.6605 0.5511 6.4106E-02 15 76.30 35.00 1.6537E-05 1.3599E-04 1.5253E-04 5.7565E-06 8.9821E-05 0.3481 0.6605 0.5511 6.4089E-02 17 87.20 40.00 4.9804E-06 4.0964E-05 4.5944E-05 1.7337E-06 2.7056E-05 0.3481 0.6605 0.5512 6.4077E-02 19 98.10 45.00 1.5000E-06 1.2339E-05 1.3839E-05 5.2213E-07 8.1496E-06 0.3481 0.6605 0.5512 6.4069E-02 21 109.00 50.00 4.5178E-07 3.7165E-06 4.1683E-06 1.5726E-07 2.4547E-06 0.3481 0.6605 0.5512 6.4062E-02 K-functions (units of 1/meter) at 545.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.05340 0.13824 0.13088 0.05193 0.18316 0.18989 0.15898 5.000 5.010 5.005 0.21871 0.22622 0.22542 0.22373 0.23352 0.23418 0.23235 10.000 10.010 10.005 0.23674 0.23763 0.23754 0.23749 0.23876 0.23884 0.23896 15.000 15.010 15.005 0.23942 0.23948 0.23947 0.23960 0.23969 0.23970 0.23998 20.000 20.010 20.005 0.23992 0.23986 0.23987 0.23998 0.23990 0.23990 0.24012 25.000 25.010 25.005 0.24001 0.23995 0.23996 0.24004 0.23995 0.23995 0.24011 30.000 30.010 30.005 0.24002 0.23997 0.23998 0.24003 0.23997 0.23997 0.24008 35.000 35.010 35.005 0.24001 0.23998 0.23999 0.24002 0.23998 0.23998 0.24005 40.000 40.010 40.005 0.24001 0.23999 0.23999 0.24002 0.23998 0.23998 0.24004 45.000 45.010 45.005 0.24000 0.23999 0.23999 0.24001 0.23999 0.23999 0.24002 50.000 50.010 50.005 0.24001 0.23999 0.23999 0.24001 0.23999 0.23999 0.24002 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 545.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.41433E-01 1.79015E-03 2.76308E-03 4.55322E-03 4.99354E-03 0.019536 9 1 10.0 0.0 180.0 1.30930E-01 1.82444E-03 2.58648E-03 4.41092E-03 5.08920E-03 0.019755 9 4 10.0 45.0 135.0 1.32815E-01 1.82171E-03 2.62338E-03 4.44509E-03 5.08158E-03 0.019752 9 7 10.0 90.0 90.0 1.38738E-01 1.82843E-03 2.73276E-03 4.56119E-03 5.10033E-03 0.019697 8 1 20.0 0.0 180.0 1.22882E-01 1.87812E-03 2.47086E-03 4.34898E-03 5.23894E-03 0.020108 8 4 20.0 45.0 135.0 1.25081E-01 1.86792E-03 2.51706E-03 4.38498E-03 5.21049E-03 0.020123 8 7 20.0 90.0 90.0 1.32837E-01 1.88268E-03 2.65442E-03 4.53710E-03 5.25166E-03 0.019983 7 1 30.0 0.0 180.0 1.14806E-01 1.95861E-03 2.44635E-03 4.40497E-03 5.46346E-03 0.021309 7 4 30.0 45.0 135.0 1.16876E-01 1.96797E-03 2.49374E-03 4.46172E-03 5.48958E-03 0.021337 7 7 30.0 90.0 90.0 1.24641E-01 1.97892E-03 2.65085E-03 4.62977E-03 5.52011E-03 0.021268 6 1 40.0 0.0 180.0 1.06593E-01 2.07834E-03 2.64591E-03 4.72424E-03 5.79744E-03 0.024823 6 4 40.0 45.0 135.0 1.08374E-01 2.08900E-03 2.68611E-03 4.77511E-03 5.82718E-03 0.024786 6 7 40.0 90.0 90.0 1.15255E-01 2.10728E-03 2.86598E-03 4.97326E-03 5.87817E-03 0.024866 5 1 50.0 0.0 180.0 9.80965E-02 2.21870E-03 3.39572E-03 5.61443E-03 6.18898E-03 0.034616 5 4 50.0 45.0 135.0 9.95632E-02 2.21928E-03 3.45388E-03 5.67316E-03 6.19060E-03 0.034690 5 7 50.0 90.0 90.0 1.05288E-01 2.24066E-03 3.65587E-03 5.89653E-03 6.25024E-03 0.034723 4 1 60.0 0.0 180.0 8.92684E-02 2.30494E-03 5.54818E-03 7.85312E-03 6.42952E-03 0.062152 4 4 60.0 45.0 135.0 9.04476E-02 2.30206E-03 5.60789E-03 7.90995E-03 6.42150E-03 0.062002 4 7 60.0 90.0 90.0 9.50451E-02 2.34819E-03 5.93976E-03 8.28794E-03 6.55017E-03 0.062494 3 1 70.0 0.0 180.0 8.01485E-02 2.26369E-03 1.10271E-02 1.32907E-02 6.31447E-03 0.137583 3 4 70.0 45.0 135.0 8.10845E-02 2.28243E-03 1.11929E-02 1.34753E-02 6.36674E-03 0.138040 3 7 70.0 90.0 90.0 8.47002E-02 2.31876E-03 1.18887E-02 1.42075E-02 6.46808E-03 0.140362 2 1 80.0 0.0 180.0 7.08472E-02 2.03608E-03 2.24953E-02 2.45314E-02 5.67956E-03 0.317518 2 4 80.0 45.0 135.0 7.15859E-02 2.04594E-03 2.32229E-02 2.52689E-02 5.70707E-03 0.324406 2 7 80.0 90.0 90.0 7.43937E-02 2.06675E-03 2.44828E-02 2.65496E-02 5.76511E-03 0.329098 1 1 87.5 0.0 180.0 6.38553E-02 1.71238E-03 3.74266E-02 3.91390E-02 4.77662E-03 0.586116 1 4 87.5 45.0 135.0 6.44738E-02 1.63372E-03 3.93825E-02 4.10162E-02 4.55719E-03 0.610829 1 7 87.5 90.0 90.0 6.67849E-02 1.81523E-03 4.09919E-02 4.28072E-02 5.06351E-03 0.613790 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 545.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 4.553E-03 1.414E-01 5.150E-02 5.480E-02 6.122E-02 1.270E-02 5.695E+00 1.790E-03 4.994E-03 1 0.00 0.00 3.315E-03 2.495E-01 1.008E-02 1.059E-02 1.100E-02 9.482E-03 5.145E+00 3 10.90 5.00 1.160E-03 7.343E-02 7.487E-03 7.787E-03 8.194E-03 9.842E-03 6.371E+00 5 21.80 10.00 3.554E-04 2.114E-02 2.470E-03 2.521E-03 2.579E-03 9.854E-03 6.494E+00 7 32.70 15.00 1.072E-04 6.290E-03 7.615E-04 7.688E-04 7.764E-04 9.841E-03 6.520E+00 9 43.60 20.00 3.229E-05 1.890E-03 2.311E-04 2.321E-04 2.331E-04 9.828E-03 6.528E+00 11 54.50 25.00 9.719E-06 5.691E-04 6.981E-05 6.994E-05 7.007E-05 9.819E-03 6.531E+00 13 65.40 30.00 2.926E-06 1.714E-04 2.105E-05 2.107E-05 2.108E-05 9.813E-03 6.533E+00 15 76.30 35.00 8.810E-07 5.164E-05 6.343E-06 6.345E-06 6.348E-06 9.809E-03 6.534E+00 17 87.20 40.00 2.653E-07 1.555E-05 1.911E-06 1.911E-06 1.911E-06 9.806E-03 6.535E+00 19 98.10 45.00 7.990E-08 4.685E-06 5.756E-07 5.756E-07 5.757E-07 9.804E-03 6.535E+00 21 109.00 50.00 2.406E-08 1.411E-06 1.734E-07 1.734E-07 1.734E-07 9.802E-03 6.536E+00 Waveband 15 of 30 completed in 20.3 sec. * * * * * Output for wavelength band 16 (550.0 to 560.0 nm; nominal wavelength = 555.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 59.2 m at 555.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 550.0 nm to 560.0 nm: Ed(diffuse) = 3.946E-01 Ed(direct) = 1.031E+00 Ed(total) = 1.425E+00 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 3.563E-01 Ed(direct) = 0.000E+00 Ed(total) = 3.563E-01 Absorption Coefficients of Individual Components at 555.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0596 0.0626 0.0000 0.0078 0.1300 3 10.888 5.000 0.0596 0.0626 0.0000 0.0078 0.1300 5 21.776 10.000 0.0596 0.0626 0.0000 0.0078 0.1300 7 32.664 15.000 0.0596 0.0626 0.0000 0.0078 0.1300 9 43.552 20.000 0.0596 0.0626 0.0000 0.0078 0.1300 11 54.440 25.000 0.0596 0.0626 0.0000 0.0078 0.1300 13 65.329 30.000 0.0596 0.0626 0.0000 0.0078 0.1300 15 76.217 35.000 0.0596 0.0626 0.0000 0.0078 0.1300 17 87.105 40.000 0.0596 0.0626 0.0000 0.0078 0.1300 19 97.993 45.000 0.0596 0.0626 0.0000 0.0078 0.1300 21 108.881 50.000 0.0596 0.0626 0.0000 0.0078 0.1300 Scattering Coefficients of Individual Components at 555.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0018 0.4797 1.5661 0.0000 2.0476 3 10.888 5.000 0.0018 0.4797 1.5661 0.0000 2.0476 5 21.776 10.000 0.0018 0.4797 1.5661 0.0000 2.0476 7 32.664 15.000 0.0018 0.4797 1.5661 0.0000 2.0476 9 43.552 20.000 0.0018 0.4797 1.5661 0.0000 2.0476 11 54.440 25.000 0.0018 0.4797 1.5661 0.0000 2.0476 13 65.329 30.000 0.0018 0.4797 1.5661 0.0000 2.0476 15 76.217 35.000 0.0018 0.4797 1.5661 0.0000 2.0476 17 87.105 40.000 0.0018 0.4797 1.5661 0.0000 2.0476 19 97.993 45.000 0.0018 0.4797 1.5661 0.0000 2.0476 21 108.881 50.000 0.0018 0.4797 1.5661 0.0000 2.0476 Backscattering Coefficients of Individual Components at 555.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00092 0.00672 0.00276 0.00000 0.01040 3 10.888 5.000 0.00092 0.00672 0.00276 0.00000 0.01040 5 21.776 10.000 0.00092 0.00672 0.00276 0.00000 0.01040 7 32.664 15.000 0.00092 0.00672 0.00276 0.00000 0.01040 9 43.552 20.000 0.00092 0.00672 0.00276 0.00000 0.01040 11 54.440 25.000 0.00092 0.00672 0.00276 0.00000 0.01040 13 65.329 30.000 0.00092 0.00672 0.00276 0.00000 0.01040 15 76.217 35.000 0.00092 0.00672 0.00276 0.00000 0.01040 17 87.105 40.000 0.00092 0.00672 0.00276 0.00000 0.01040 19 97.993 45.000 0.00092 0.00672 0.00276 0.00000 0.01040 21 108.881 50.000 0.00092 0.00672 0.00276 0.00000 0.01040 Summary of Inherent Optical Properties at 555.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1300 2.0476 2.1776 0.9403 0.01040 0.00508 3 10.888 5.000 0.1300 2.0476 2.1776 0.9403 0.01040 0.00508 5 21.776 10.000 0.1300 2.0476 2.1776 0.9403 0.01040 0.00508 7 32.664 15.000 0.1300 2.0476 2.1776 0.9403 0.01040 0.00508 9 43.552 20.000 0.1300 2.0476 2.1776 0.9403 0.01040 0.00508 11 54.440 25.000 0.1300 2.0476 2.1776 0.9403 0.01040 0.00508 13 65.329 30.000 0.1300 2.0476 2.1776 0.9403 0.01040 0.00508 15 76.217 35.000 0.1300 2.0476 2.1776 0.9403 0.01040 0.00508 17 87.105 40.000 0.1300 2.0476 2.1776 0.9403 0.01040 0.00508 19 97.993 45.000 0.1300 2.0476 2.1776 0.9403 0.01040 0.00508 21 108.881 50.000 0.1300 2.0476 2.1776 0.9403 0.01040 0.00508 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.6589E-01 8 20.00 8.7895E-01 7 30.00 7.5435E-01 6 40.00 6.1311E-01 5 50.00 4.7481E-01 4 60.00 3.5325E-01 3 70.00 2.5507E-01 2 80.00 1.8155E-01 1 87.50 1.3818E-01 1 92.50 1.1153E-01 2 100.00 8.4555E-02 3 110.00 6.0514E-02 4 120.00 4.4215E-02 5 130.00 3.3476E-02 6 140.00 2.6506E-02 7 150.00 2.2070E-02 8 160.00 1.9367E-02 9 170.00 1.7908E-02 10 180.00 1.7404E-02 Asymptotic AOP values are MUu(inf) = 0.3485 MUd(inf) = 0.6594 MU(inf) = 0.5488 R(inf) = 0.0651 Lu(inf)/Ed(inf) = 0.009964 (1/sr) k(inf) = 0.2369 (1/m) absorp(check) = 0.1300 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 555.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 8.9484E-02 6.3137E-01 7.2085E-01 2.5885E-02 3.5627E-01 0.2893 0.5643 0.4583 7.2656E-02 1 0.00 0.00 4.1914E-02 4.3536E-01 4.7728E-01 1.7238E-02 3.4761E-01 0.4113 0.7984 0.6922 4.9589E-02 3 10.89 5.00 2.1479E-02 1.7709E-01 1.9857E-01 7.5887E-03 1.1907E-01 0.3533 0.6724 0.5614 6.3734E-02 5 21.78 10.00 6.8891E-03 5.5930E-02 6.2820E-02 2.4080E-03 3.7003E-02 0.3495 0.6616 0.5507 6.5077E-02 7 32.66 15.00 2.1247E-03 1.7217E-02 1.9342E-02 7.4121E-04 1.1359E-02 0.3489 0.6597 0.5489 6.5253E-02 9 43.55 20.00 6.5097E-04 5.2755E-03 5.9265E-03 2.2698E-04 3.4786E-03 0.3487 0.6594 0.5487 6.5249E-02 11 54.44 25.00 1.9919E-04 1.6148E-03 1.8140E-03 6.9440E-05 1.0647E-03 0.3486 0.6593 0.5487 6.5221E-02 13 65.33 30.00 6.0941E-05 4.9417E-04 5.5511E-04 2.1242E-05 3.2582E-04 0.3486 0.6593 0.5487 6.5196E-02 15 76.22 35.00 1.8644E-05 1.5121E-04 1.6986E-04 6.4983E-06 9.9701E-05 0.3485 0.6593 0.5487 6.5178E-02 17 87.10 40.00 5.7040E-06 4.6270E-05 5.1974E-05 1.9880E-06 3.0508E-05 0.3485 0.6593 0.5487 6.5165E-02 19 97.99 45.00 1.7451E-06 1.4158E-05 1.5903E-05 6.0822E-07 9.3350E-06 0.3485 0.6593 0.5487 6.5155E-02 21 108.88 50.00 5.3393E-07 4.3320E-06 4.8659E-06 1.8608E-07 2.8563E-06 0.3485 0.6594 0.5488 6.5148E-02 K-functions (units of 1/meter) at 555.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.05328 0.13648 0.12917 0.05017 0.18035 0.18714 0.15617 5.000 5.010 5.005 0.21537 0.22295 0.22213 0.22043 0.23034 0.23102 0.22909 10.000 10.010 10.005 0.23352 0.23445 0.23435 0.23429 0.23560 0.23569 0.23577 15.000 15.010 15.005 0.23626 0.23633 0.23632 0.23644 0.23655 0.23656 0.23682 20.000 20.010 20.005 0.23678 0.23672 0.23672 0.23683 0.23676 0.23675 0.23697 25.000 25.010 25.005 0.23687 0.23681 0.23681 0.23689 0.23681 0.23680 0.23697 30.000 30.010 30.005 0.23687 0.23683 0.23683 0.23689 0.23683 0.23682 0.23694 35.000 35.010 35.005 0.23687 0.23684 0.23684 0.23688 0.23684 0.23683 0.23692 40.000 40.010 40.005 0.23687 0.23684 0.23685 0.23688 0.23684 0.23684 0.23690 45.000 45.010 45.005 0.23688 0.23685 0.23686 0.23687 0.23685 0.23684 0.23689 50.000 50.010 50.005 0.23684 0.23684 0.23684 0.23686 0.23685 0.23685 0.23688 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 555.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.40556E-01 1.80944E-03 2.74595E-03 4.55540E-03 5.07885E-03 0.019536 9 1 10.0 0.0 180.0 1.30119E-01 1.84417E-03 2.57045E-03 4.41463E-03 5.17633E-03 0.019755 9 4 10.0 45.0 135.0 1.31992E-01 1.84144E-03 2.60712E-03 4.44856E-03 5.16866E-03 0.019752 9 7 10.0 90.0 90.0 1.37878E-01 1.84832E-03 2.71582E-03 4.56414E-03 5.18796E-03 0.019697 8 1 20.0 0.0 180.0 1.22120E-01 1.89869E-03 2.45554E-03 4.35424E-03 5.32936E-03 0.020108 8 4 20.0 45.0 135.0 1.24306E-01 1.88844E-03 2.50146E-03 4.38990E-03 5.30057E-03 0.020123 8 7 20.0 90.0 90.0 1.32013E-01 1.90348E-03 2.63797E-03 4.54145E-03 5.34280E-03 0.019983 7 1 30.0 0.0 180.0 1.14095E-01 1.98040E-03 2.43119E-03 4.41159E-03 5.55868E-03 0.021309 7 4 30.0 45.0 135.0 1.16152E-01 1.98993E-03 2.47829E-03 4.46822E-03 5.58546E-03 0.021337 7 7 30.0 90.0 90.0 1.23869E-01 2.00117E-03 2.63442E-03 4.63559E-03 5.61700E-03 0.021268 6 1 40.0 0.0 180.0 1.05932E-01 2.10193E-03 2.62951E-03 4.73143E-03 5.89980E-03 0.024823 6 4 40.0 45.0 135.0 1.07702E-01 2.11280E-03 2.66947E-03 4.78227E-03 5.93032E-03 0.024786 6 7 40.0 90.0 90.0 1.14540E-01 2.13151E-03 2.84822E-03 4.97972E-03 5.98283E-03 0.024866 5 1 50.0 0.0 180.0 9.74885E-02 2.24412E-03 3.37468E-03 5.61880E-03 6.29892E-03 0.034616 5 4 50.0 45.0 135.0 9.89461E-02 2.24481E-03 3.43247E-03 5.67728E-03 6.30086E-03 0.034690 5 7 50.0 90.0 90.0 1.04635E-01 2.26668E-03 3.63321E-03 5.89989E-03 6.36225E-03 0.034723 4 1 60.0 0.0 180.0 8.87151E-02 2.33145E-03 5.51379E-03 7.84524E-03 6.54403E-03 0.062152 4 4 60.0 45.0 135.0 8.98870E-02 2.32865E-03 5.57314E-03 7.90179E-03 6.53619E-03 0.062002 4 7 60.0 90.0 90.0 9.44561E-02 2.37557E-03 5.90294E-03 8.27851E-03 6.66789E-03 0.062494 3 1 70.0 0.0 180.0 7.96518E-02 2.28951E-03 1.09587E-02 1.32482E-02 6.42633E-03 0.137583 3 4 70.0 45.0 135.0 8.05819E-02 2.30858E-03 1.11235E-02 1.34321E-02 6.47984E-03 0.138040 3 7 70.0 90.0 90.0 8.41753E-02 2.34557E-03 1.18150E-02 1.41606E-02 6.58368E-03 0.140362 2 1 80.0 0.0 180.0 7.04081E-02 2.05901E-03 2.23559E-02 2.44149E-02 5.77933E-03 0.317518 2 4 80.0 45.0 135.0 7.11422E-02 2.06907E-03 2.30790E-02 2.51481E-02 5.80758E-03 0.324406 2 7 80.0 90.0 90.0 7.39326E-02 2.09034E-03 2.43311E-02 2.64214E-02 5.86727E-03 0.329098 1 1 87.5 0.0 180.0 6.34595E-02 1.73125E-03 3.71947E-02 3.89259E-02 4.85936E-03 0.586116 1 4 87.5 45.0 135.0 6.40742E-02 1.65180E-03 3.91384E-02 4.07902E-02 4.63636E-03 0.610829 1 7 87.5 90.0 90.0 6.63710E-02 1.83549E-03 4.07379E-02 4.25734E-02 5.15195E-03 0.613790 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 555.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 4.555E-03 1.406E-01 5.119E-02 5.447E-02 6.086E-02 1.279E-02 5.682E+00 1.809E-03 5.079E-03 1 0.00 0.00 3.351E-03 2.479E-01 1.016E-02 1.068E-02 1.109E-02 9.639E-03 5.145E+00 3 10.89 5.00 1.192E-03 7.396E-02 7.647E-03 7.954E-03 8.370E-03 1.001E-02 6.368E+00 5 21.78 10.00 3.709E-04 2.161E-02 2.565E-03 2.618E-03 2.678E-03 1.002E-02 6.492E+00 7 32.66 15.00 1.137E-04 6.530E-03 8.034E-04 8.111E-04 8.192E-04 1.001E-02 6.518E+00 9 43.55 20.00 3.478E-05 1.993E-03 2.477E-04 2.488E-04 2.499E-04 9.998E-03 6.526E+00 11 54.44 25.00 1.064E-05 6.096E-04 7.601E-05 7.615E-05 7.630E-05 9.989E-03 6.529E+00 13 65.33 30.00 3.252E-06 1.865E-04 2.328E-05 2.330E-05 2.332E-05 9.982E-03 6.531E+00 15 76.22 35.00 9.948E-07 5.708E-05 7.127E-06 7.130E-06 7.132E-06 9.978E-03 6.532E+00 17 87.10 40.00 3.043E-07 1.747E-05 2.181E-06 2.181E-06 2.182E-06 9.974E-03 6.533E+00 19 97.99 45.00 9.309E-08 5.344E-06 6.674E-07 6.675E-07 6.675E-07 9.972E-03 6.534E+00 21 108.88 50.00 2.848E-08 1.635E-06 2.042E-07 2.042E-07 2.042E-07 9.970E-03 6.534E+00 Waveband 16 of 30 completed in 20.5 sec. * * * * * Output for wavelength band 17 (560.0 to 570.0 nm; nominal wavelength = 565.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 59.2 m at 565.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 560.0 nm to 570.0 nm: Ed(diffuse) = 3.870E-01 Ed(direct) = 1.026E+00 Ed(total) = 1.413E+00 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 3.533E-01 Ed(direct) = 0.000E+00 Ed(total) = 3.533E-01 Absorption Coefficients of Individual Components at 565.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0642 0.0538 0.0000 0.0068 0.1248 3 10.861 5.000 0.0642 0.0538 0.0000 0.0068 0.1248 5 21.723 10.000 0.0642 0.0538 0.0000 0.0068 0.1248 7 32.584 15.000 0.0642 0.0538 0.0000 0.0068 0.1248 9 43.446 20.000 0.0642 0.0538 0.0000 0.0068 0.1248 11 54.307 25.000 0.0642 0.0538 0.0000 0.0068 0.1248 13 65.169 30.000 0.0642 0.0538 0.0000 0.0068 0.1248 15 76.030 35.000 0.0642 0.0538 0.0000 0.0068 0.1248 17 86.892 40.000 0.0642 0.0538 0.0000 0.0068 0.1248 19 97.753 45.000 0.0642 0.0538 0.0000 0.0068 0.1248 21 108.615 50.000 0.0642 0.0538 0.0000 0.0068 0.1248 Scattering Coefficients of Individual Components at 565.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0017 0.4797 1.5661 0.0000 2.0475 3 10.861 5.000 0.0017 0.4797 1.5661 0.0000 2.0475 5 21.723 10.000 0.0017 0.4797 1.5661 0.0000 2.0475 7 32.584 15.000 0.0017 0.4797 1.5661 0.0000 2.0475 9 43.446 20.000 0.0017 0.4797 1.5661 0.0000 2.0475 11 54.307 25.000 0.0017 0.4797 1.5661 0.0000 2.0475 13 65.169 30.000 0.0017 0.4797 1.5661 0.0000 2.0475 15 76.030 35.000 0.0017 0.4797 1.5661 0.0000 2.0475 17 86.892 40.000 0.0017 0.4797 1.5661 0.0000 2.0475 19 97.753 45.000 0.0017 0.4797 1.5661 0.0000 2.0475 21 108.615 50.000 0.0017 0.4797 1.5661 0.0000 2.0475 Backscattering Coefficients of Individual Components at 565.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00085 0.00672 0.00276 0.00000 0.01033 3 10.861 5.000 0.00085 0.00672 0.00276 0.00000 0.01033 5 21.723 10.000 0.00085 0.00672 0.00276 0.00000 0.01033 7 32.584 15.000 0.00085 0.00672 0.00276 0.00000 0.01033 9 43.446 20.000 0.00085 0.00672 0.00276 0.00000 0.01033 11 54.307 25.000 0.00085 0.00672 0.00276 0.00000 0.01033 13 65.169 30.000 0.00085 0.00672 0.00276 0.00000 0.01033 15 76.030 35.000 0.00085 0.00672 0.00276 0.00000 0.01033 17 86.892 40.000 0.00085 0.00672 0.00276 0.00000 0.01033 19 97.753 45.000 0.00085 0.00672 0.00276 0.00000 0.01033 21 108.615 50.000 0.00085 0.00672 0.00276 0.00000 0.01033 Summary of Inherent Optical Properties at 565.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1248 2.0475 2.1723 0.9425 0.01033 0.00505 3 10.861 5.000 0.1248 2.0475 2.1723 0.9425 0.01033 0.00505 5 21.723 10.000 0.1248 2.0475 2.1723 0.9425 0.01033 0.00505 7 32.584 15.000 0.1248 2.0475 2.1723 0.9425 0.01033 0.00505 9 43.446 20.000 0.1248 2.0475 2.1723 0.9425 0.01033 0.00505 11 54.307 25.000 0.1248 2.0475 2.1723 0.9425 0.01033 0.00505 13 65.169 30.000 0.1248 2.0475 2.1723 0.9425 0.01033 0.00505 15 76.030 35.000 0.1248 2.0475 2.1723 0.9425 0.01033 0.00505 17 86.892 40.000 0.1248 2.0475 2.1723 0.9425 0.01033 0.00505 19 97.753 45.000 0.1248 2.0475 2.1723 0.9425 0.01033 0.00505 21 108.615 50.000 0.1248 2.0475 2.1723 0.9425 0.01033 0.00505 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.6657E-01 8 20.00 8.8127E-01 7 30.00 7.5867E-01 6 40.00 6.1917E-01 5 50.00 4.8191E-01 4 60.00 3.6056E-01 3 70.00 2.6193E-01 2 80.00 1.8756E-01 1 87.50 1.4340E-01 1 92.50 1.1612E-01 2 100.00 8.8392E-02 3 110.00 6.3545E-02 4 120.00 4.6596E-02 5 130.00 3.5366E-02 6 140.00 2.8042E-02 7 150.00 2.3362E-02 8 160.00 2.0501E-02 9 170.00 1.8954E-02 10 180.00 1.8418E-02 Asymptotic AOP values are MUu(inf) = 0.3499 MUd(inf) = 0.6567 MU(inf) = 0.5429 R(inf) = 0.0679 Lu(inf)/Ed(inf) = 0.010442 (1/sr) k(inf) = 0.2299 (1/m) absorp(check) = 0.1248 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 565.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 8.9386E-02 6.2611E-01 7.1550E-01 2.5996E-02 3.5331E-01 0.2908 0.5643 0.4575 7.3581E-02 1 0.00 0.00 4.3335E-02 4.3320E-01 4.7653E-01 1.7872E-02 3.4517E-01 0.4124 0.7968 0.6868 5.1776E-02 3 10.86 5.00 2.2913E-02 1.8265E-01 2.0556E-01 8.1302E-03 1.2239E-01 0.3548 0.6701 0.5559 6.6427E-02 5 21.72 10.00 7.6166E-03 5.9772E-02 6.7389E-02 2.6733E-03 3.9391E-02 0.3510 0.6590 0.5449 6.7866E-02 7 32.58 15.00 2.4329E-03 1.9055E-02 2.1488E-02 8.5221E-04 1.2521E-02 0.3503 0.6571 0.5430 6.8063E-02 9 43.45 20.00 7.7185E-04 6.0454E-03 6.8172E-03 2.7022E-04 3.9701E-03 0.3501 0.6567 0.5427 6.8064E-02 11 54.31 25.00 2.4455E-04 1.9160E-03 2.1605E-03 8.5598E-05 1.2581E-03 0.3500 0.6567 0.5427 6.8036E-02 13 65.17 30.00 7.7463E-05 6.0706E-04 6.8453E-04 2.7111E-05 3.9863E-04 0.3500 0.6567 0.5427 6.8011E-02 15 76.03 35.00 2.4537E-05 1.9233E-04 2.1687E-04 8.5872E-06 1.2630E-04 0.3500 0.6567 0.5428 6.7992E-02 17 86.89 40.00 7.7725E-06 6.0933E-05 6.8705E-05 2.7200E-06 4.0013E-05 0.3500 0.6567 0.5428 6.7979E-02 19 97.75 45.00 2.4621E-06 1.9304E-05 2.1766E-05 8.6159E-07 1.2676E-05 0.3499 0.6567 0.5428 6.7968E-02 21 108.61 50.00 7.7993E-07 6.1155E-06 6.8954E-06 2.7292E-07 4.0159E-06 0.3499 0.6567 0.5428 6.7961E-02 K-functions (units of 1/meter) at 565.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.05337 0.13295 0.12571 0.04733 0.17417 0.18110 0.15047 5.000 5.010 5.005 0.20810 0.21572 0.21487 0.21322 0.22331 0.22403 0.22198 10.000 10.010 10.005 0.22648 0.22744 0.22733 0.22725 0.22862 0.22872 0.22875 15.000 15.010 15.005 0.22928 0.22936 0.22935 0.22946 0.22959 0.22960 0.22984 20.000 20.010 20.005 0.22981 0.22976 0.22976 0.22987 0.22980 0.22980 0.23001 25.000 25.010 25.005 0.22993 0.22986 0.22987 0.22994 0.22986 0.22985 0.23001 30.000 30.010 30.005 0.22992 0.22988 0.22988 0.22994 0.22988 0.22987 0.22998 35.000 35.010 35.005 0.22993 0.22989 0.22989 0.22993 0.22988 0.22988 0.22996 40.000 40.010 40.005 0.22992 0.22989 0.22990 0.22992 0.22989 0.22989 0.22995 45.000 45.010 45.005 0.22991 0.22989 0.22989 0.22992 0.22989 0.22989 0.22994 50.000 50.010 50.005 0.22991 0.22990 0.22990 0.22992 0.22990 0.22989 0.22993 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 565.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.39386E-01 1.88242E-03 2.72310E-03 4.60552E-03 5.32800E-03 0.019536 9 1 10.0 0.0 180.0 1.29036E-01 1.91854E-03 2.54906E-03 4.46761E-03 5.43026E-03 0.019755 9 4 10.0 45.0 135.0 1.30893E-01 1.91575E-03 2.58542E-03 4.50117E-03 5.42234E-03 0.019752 9 7 10.0 90.0 90.0 1.36731E-01 1.92300E-03 2.69322E-03 4.61622E-03 5.44287E-03 0.019697 8 1 20.0 0.0 180.0 1.21104E-01 1.97540E-03 2.43511E-03 4.41051E-03 5.59118E-03 0.020108 8 4 20.0 45.0 135.0 1.23271E-01 1.96479E-03 2.48065E-03 4.44544E-03 5.56117E-03 0.020123 8 7 20.0 90.0 90.0 1.30915E-01 1.98061E-03 2.61602E-03 4.59662E-03 5.60592E-03 0.019983 7 1 30.0 0.0 180.0 1.13145E-01 2.06052E-03 2.41096E-03 4.47148E-03 5.83211E-03 0.021309 7 4 30.0 45.0 135.0 1.15185E-01 2.07053E-03 2.45766E-03 4.52820E-03 5.86045E-03 0.021337 7 7 30.0 90.0 90.0 1.22838E-01 2.08243E-03 2.61250E-03 4.69493E-03 5.89413E-03 0.021268 6 1 40.0 0.0 180.0 1.05050E-01 2.18692E-03 2.60762E-03 4.79454E-03 6.18987E-03 0.024823 6 4 40.0 45.0 135.0 1.06806E-01 2.19834E-03 2.64725E-03 4.84560E-03 6.22221E-03 0.024786 6 7 40.0 90.0 90.0 1.13587E-01 2.21805E-03 2.82451E-03 5.04257E-03 6.27799E-03 0.024866 5 1 50.0 0.0 180.0 9.66772E-02 2.33425E-03 3.34660E-03 5.68085E-03 6.60688E-03 0.034616 5 4 50.0 45.0 135.0 9.81227E-02 2.33509E-03 3.40391E-03 5.73900E-03 6.60925E-03 0.034690 5 7 50.0 90.0 90.0 1.03765E-01 2.35809E-03 3.60298E-03 5.96106E-03 6.67435E-03 0.034723 4 1 60.0 0.0 180.0 8.79769E-02 2.42418E-03 5.46791E-03 7.89209E-03 6.86142E-03 0.062152 4 4 60.0 45.0 135.0 8.91390E-02 2.42140E-03 5.52676E-03 7.94816E-03 6.85355E-03 0.062002 4 7 60.0 90.0 90.0 9.36700E-02 2.47043E-03 5.85382E-03 8.32426E-03 6.99234E-03 0.062494 3 1 70.0 0.0 180.0 7.89890E-02 2.37892E-03 1.08675E-02 1.32464E-02 6.73330E-03 0.137583 3 4 70.0 45.0 135.0 7.99113E-02 2.39884E-03 1.10310E-02 1.34298E-02 6.78970E-03 0.138040 3 7 70.0 90.0 90.0 8.34748E-02 2.43748E-03 1.17167E-02 1.41542E-02 6.89905E-03 0.140362 2 1 80.0 0.0 180.0 6.98222E-02 2.13783E-03 2.21698E-02 2.43077E-02 6.05094E-03 0.317518 2 4 80.0 45.0 135.0 7.05502E-02 2.14837E-03 2.28869E-02 2.50353E-02 6.08076E-03 0.324406 2 7 80.0 90.0 90.0 7.33173E-02 2.17062E-03 2.41286E-02 2.62992E-02 6.14375E-03 0.329098 1 1 87.5 0.0 180.0 6.29315E-02 1.79592E-03 3.68852E-02 3.86811E-02 5.08319E-03 0.586116 1 4 87.5 45.0 135.0 6.35410E-02 1.71359E-03 3.88127E-02 4.05263E-02 4.85015E-03 0.610829 1 7 87.5 90.0 90.0 6.58187E-02 1.90424E-03 4.03989E-02 4.23031E-02 5.38978E-03 0.613790 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 565.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 4.606E-03 1.394E-01 5.081E-02 5.406E-02 6.039E-02 1.304E-02 5.645E+00 1.882E-03 5.328E-03 1 0.00 0.00 3.486E-03 2.459E-01 1.046E-02 1.099E-02 1.142E-02 1.010E-02 5.127E+00 3 10.86 5.00 1.283E-03 7.552E-02 8.077E-03 8.399E-03 8.837E-03 1.048E-02 6.337E+00 5 21.72 10.00 4.136E-04 2.280E-02 2.808E-03 2.867E-03 2.933E-03 1.050E-02 6.463E+00 7 32.58 15.00 1.313E-04 7.129E-03 9.112E-04 9.200E-04 9.292E-04 1.049E-02 6.489E+00 9 43.45 20.00 4.160E-05 2.252E-03 2.909E-04 2.922E-04 2.935E-04 1.048E-02 6.496E+00 11 54.31 25.00 1.317E-05 7.133E-04 9.244E-05 9.261E-05 9.279E-05 1.047E-02 6.500E+00 13 65.17 30.00 4.170E-06 2.260E-04 2.932E-05 2.934E-05 2.937E-05 1.046E-02 6.501E+00 15 76.03 35.00 1.321E-06 7.160E-05 9.291E-06 9.295E-06 9.298E-06 1.046E-02 6.503E+00 17 86.89 40.00 4.182E-07 2.268E-05 2.944E-06 2.944E-06 2.945E-06 1.045E-02 6.503E+00 19 97.75 45.00 1.325E-07 7.186E-06 9.327E-07 9.328E-07 9.328E-07 1.045E-02 6.504E+00 21 108.61 50.00 4.196E-08 2.277E-06 2.955E-07 2.955E-07 2.955E-07 1.045E-02 6.505E+00 Waveband 17 of 30 completed in 20.4 sec. * * * * * Output for wavelength band 18 (570.0 to 580.0 nm; nominal wavelength = 575.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 59.2 m at 575.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 570.0 nm to 580.0 nm: Ed(diffuse) = 3.835E-01 Ed(direct) = 1.031E+00 Ed(total) = 1.415E+00 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 3.537E-01 Ed(direct) = 0.000E+00 Ed(total) = 3.537E-01 Absorption Coefficients of Individual Components at 575.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0772 0.0499 0.0000 0.0059 0.1329 3 10.902 5.000 0.0772 0.0499 0.0000 0.0059 0.1329 5 21.803 10.000 0.0772 0.0499 0.0000 0.0059 0.1329 7 32.705 15.000 0.0772 0.0499 0.0000 0.0059 0.1329 9 43.606 20.000 0.0772 0.0499 0.0000 0.0059 0.1329 11 54.508 25.000 0.0772 0.0499 0.0000 0.0059 0.1329 13 65.409 30.000 0.0772 0.0499 0.0000 0.0059 0.1329 15 76.311 35.000 0.0772 0.0499 0.0000 0.0059 0.1329 17 87.212 40.000 0.0772 0.0499 0.0000 0.0059 0.1329 19 98.114 45.000 0.0772 0.0499 0.0000 0.0059 0.1329 21 109.015 50.000 0.0772 0.0499 0.0000 0.0059 0.1329 Scattering Coefficients of Individual Components at 575.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0016 0.4797 1.5661 0.0000 2.0474 3 10.902 5.000 0.0016 0.4797 1.5661 0.0000 2.0474 5 21.803 10.000 0.0016 0.4797 1.5661 0.0000 2.0474 7 32.705 15.000 0.0016 0.4797 1.5661 0.0000 2.0474 9 43.606 20.000 0.0016 0.4797 1.5661 0.0000 2.0474 11 54.508 25.000 0.0016 0.4797 1.5661 0.0000 2.0474 13 65.409 30.000 0.0016 0.4797 1.5661 0.0000 2.0474 15 76.311 35.000 0.0016 0.4797 1.5661 0.0000 2.0474 17 87.212 40.000 0.0016 0.4797 1.5661 0.0000 2.0474 19 98.114 45.000 0.0016 0.4797 1.5661 0.0000 2.0474 21 109.015 50.000 0.0016 0.4797 1.5661 0.0000 2.0474 Backscattering Coefficients of Individual Components at 575.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00079 0.00672 0.00276 0.00000 0.01027 3 10.902 5.000 0.00079 0.00672 0.00276 0.00000 0.01027 5 21.803 10.000 0.00079 0.00672 0.00276 0.00000 0.01027 7 32.705 15.000 0.00079 0.00672 0.00276 0.00000 0.01027 9 43.606 20.000 0.00079 0.00672 0.00276 0.00000 0.01027 11 54.508 25.000 0.00079 0.00672 0.00276 0.00000 0.01027 13 65.409 30.000 0.00079 0.00672 0.00276 0.00000 0.01027 15 76.311 35.000 0.00079 0.00672 0.00276 0.00000 0.01027 17 87.212 40.000 0.00079 0.00672 0.00276 0.00000 0.01027 19 98.114 45.000 0.00079 0.00672 0.00276 0.00000 0.01027 21 109.015 50.000 0.00079 0.00672 0.00276 0.00000 0.01027 Summary of Inherent Optical Properties at 575.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1329 2.0474 2.1803 0.9390 0.01027 0.00502 3 10.902 5.000 0.1329 2.0474 2.1803 0.9390 0.01027 0.00502 5 21.803 10.000 0.1329 2.0474 2.1803 0.9390 0.01027 0.00502 7 32.705 15.000 0.1329 2.0474 2.1803 0.9390 0.01027 0.00502 9 43.606 20.000 0.1329 2.0474 2.1803 0.9390 0.01027 0.00502 11 54.508 25.000 0.1329 2.0474 2.1803 0.9390 0.01027 0.00502 13 65.409 30.000 0.1329 2.0474 2.1803 0.9390 0.01027 0.00502 15 76.311 35.000 0.1329 2.0474 2.1803 0.9390 0.01027 0.00502 17 87.212 40.000 0.1329 2.0474 2.1803 0.9390 0.01027 0.00502 19 98.114 45.000 0.1329 2.0474 2.1803 0.9390 0.01027 0.00502 21 109.015 50.000 0.1329 2.0474 2.1803 0.9390 0.01027 0.00502 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.6550E-01 8 20.00 8.7764E-01 7 30.00 7.5190E-01 6 40.00 6.0967E-01 5 50.00 4.7077E-01 4 60.00 3.4907E-01 3 70.00 2.5114E-01 2 80.00 1.7808E-01 1 87.50 1.3514E-01 1 92.50 1.0884E-01 2 100.00 8.2266E-02 3 110.00 5.8665E-02 4 120.00 4.2721E-02 5 130.00 3.2251E-02 6 140.00 2.5476E-02 7 150.00 2.1174E-02 8 160.00 1.8557E-02 9 170.00 1.7148E-02 10 180.00 1.6660E-02 Asymptotic AOP values are MUu(inf) = 0.3471 MUd(inf) = 0.6610 MU(inf) = 0.5526 R(inf) = 0.0632 Lu(inf)/Ed(inf) = 0.009592 (1/sr) k(inf) = 0.2406 (1/m) absorp(check) = 0.1329 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 575.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 8.8349E-02 6.2683E-01 7.1518E-01 2.5446E-02 3.5371E-01 0.2880 0.5643 0.4590 7.1941E-02 1 0.00 0.00 4.0318E-02 4.3119E-01 4.7150E-01 1.6535E-02 3.4479E-01 0.4101 0.7996 0.6962 4.7956E-02 3 10.90 5.00 2.0394E-02 1.7208E-01 1.9247E-01 7.1756E-03 1.1594E-01 0.3519 0.6738 0.5651 6.1892E-02 5 21.80 10.00 6.4218E-03 5.3332E-02 5.9754E-02 2.2359E-03 3.5365E-02 0.3482 0.6631 0.5544 6.3222E-02 7 32.70 15.00 1.9445E-03 1.6116E-02 1.8061E-02 6.7574E-04 1.0658E-02 0.3475 0.6613 0.5527 6.3404E-02 9 43.61 20.00 5.8491E-04 4.8479E-03 5.4328E-03 2.0316E-04 3.2042E-03 0.3473 0.6609 0.5524 6.3404E-02 11 54.51 25.00 1.7571E-04 1.4568E-03 1.6325E-03 6.1018E-05 9.6279E-04 0.3473 0.6609 0.5524 6.3376E-02 13 65.41 30.00 5.2773E-05 4.3767E-04 4.9044E-04 1.8324E-05 2.8925E-04 0.3472 0.6609 0.5524 6.3348E-02 15 76.31 35.00 1.5849E-05 1.3148E-04 1.4733E-04 5.5027E-06 8.6894E-05 0.3472 0.6609 0.5525 6.3326E-02 17 87.21 40.00 4.7600E-06 3.9495E-05 4.4255E-05 1.6525E-06 2.6103E-05 0.3472 0.6609 0.5525 6.3309E-02 19 98.11 45.00 1.4296E-06 1.1864E-05 1.3293E-05 4.9629E-07 7.8409E-06 0.3472 0.6609 0.5525 6.3295E-02 21 109.02 50.00 4.2937E-07 3.5636E-06 3.9930E-06 1.4905E-07 2.3553E-06 0.3471 0.6609 0.5525 6.3283E-02 K-functions (units of 1/meter) at 575.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.05054 0.13799 0.13051 0.04983 0.18365 0.19040 0.15830 5.000 5.010 5.005 0.21905 0.22680 0.22598 0.22405 0.23409 0.23475 0.23260 10.000 10.010 10.005 0.23721 0.23818 0.23808 0.23795 0.23931 0.23940 0.23939 15.000 15.010 15.005 0.23993 0.24002 0.24001 0.24011 0.24024 0.24025 0.24048 20.000 20.010 20.005 0.24046 0.24040 0.24041 0.24052 0.24044 0.24044 0.24066 25.000 25.010 25.005 0.24056 0.24049 0.24050 0.24059 0.24050 0.24049 0.24067 30.000 30.010 30.005 0.24057 0.24052 0.24052 0.24059 0.24052 0.24051 0.24065 35.000 35.010 35.005 0.24057 0.24053 0.24053 0.24059 0.24053 0.24052 0.24063 40.000 40.010 40.005 0.24056 0.24053 0.24054 0.24058 0.24053 0.24053 0.24062 45.000 45.010 45.005 0.24056 0.24054 0.24054 0.24058 0.24054 0.24054 0.24060 50.000 50.010 50.005 0.24057 0.24055 0.24055 0.24058 0.24054 0.24054 0.24060 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 575.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.39546E-01 1.72386E-03 2.72622E-03 4.45008E-03 4.87365E-03 0.019536 9 1 10.0 0.0 180.0 1.29184E-01 1.75715E-03 2.55198E-03 4.30913E-03 4.96776E-03 0.019755 9 4 10.0 45.0 135.0 1.31043E-01 1.75458E-03 2.58838E-03 4.34296E-03 4.96050E-03 0.019752 9 7 10.0 90.0 90.0 1.36888E-01 1.76121E-03 2.69630E-03 4.45752E-03 4.97924E-03 0.019697 8 1 20.0 0.0 180.0 1.21243E-01 1.80971E-03 2.43790E-03 4.24760E-03 5.11634E-03 0.020108 8 4 20.0 45.0 135.0 1.23412E-01 1.79998E-03 2.48349E-03 4.28347E-03 5.08885E-03 0.020123 8 7 20.0 90.0 90.0 1.31065E-01 1.81446E-03 2.61901E-03 4.43347E-03 5.12978E-03 0.019983 7 1 30.0 0.0 180.0 1.13275E-01 1.88845E-03 2.41372E-03 4.30217E-03 5.33896E-03 0.021309 7 4 30.0 45.0 135.0 1.15317E-01 1.89761E-03 2.46048E-03 4.35809E-03 5.36487E-03 0.021337 7 7 30.0 90.0 90.0 1.22979E-01 1.90852E-03 2.61549E-03 4.52401E-03 5.39572E-03 0.021268 6 1 40.0 0.0 180.0 1.05171E-01 2.00598E-03 2.61061E-03 4.61660E-03 5.67126E-03 0.024823 6 4 40.0 45.0 135.0 1.06928E-01 2.01647E-03 2.65028E-03 4.66675E-03 5.70089E-03 0.024786 6 7 40.0 90.0 90.0 1.13717E-01 2.03460E-03 2.82775E-03 4.86235E-03 5.75216E-03 0.024866 5 1 50.0 0.0 180.0 9.67880E-02 2.14364E-03 3.35043E-03 5.49407E-03 6.06045E-03 0.034616 5 4 50.0 45.0 135.0 9.82351E-02 2.14443E-03 3.40781E-03 5.55224E-03 6.06268E-03 0.034690 5 7 50.0 90.0 90.0 1.03884E-01 2.16569E-03 3.60710E-03 5.77279E-03 6.12276E-03 0.034723 4 1 60.0 0.0 180.0 8.80777E-02 2.22914E-03 5.47417E-03 7.70331E-03 6.30215E-03 0.062152 4 4 60.0 45.0 135.0 8.92411E-02 2.22661E-03 5.53309E-03 7.75970E-03 6.29502E-03 0.062002 4 7 60.0 90.0 90.0 9.37773E-02 2.27190E-03 5.86053E-03 8.13243E-03 6.42306E-03 0.062494 3 1 70.0 0.0 180.0 7.90794E-02 2.19153E-03 1.08800E-02 1.30715E-02 6.19581E-03 0.137583 3 4 70.0 45.0 135.0 8.00029E-02 2.20993E-03 1.10436E-02 1.32535E-02 6.24783E-03 0.138040 3 7 70.0 90.0 90.0 8.35704E-02 2.24583E-03 1.17301E-02 1.39760E-02 6.34935E-03 0.140362 2 1 80.0 0.0 180.0 6.99022E-02 1.97290E-03 2.21952E-02 2.41681E-02 5.57772E-03 0.317518 2 4 80.0 45.0 135.0 7.06310E-02 1.98272E-03 2.29132E-02 2.48959E-02 5.60547E-03 0.324406 2 7 80.0 90.0 90.0 7.34013E-02 2.00352E-03 2.41563E-02 2.61598E-02 5.66429E-03 0.329098 1 1 87.5 0.0 180.0 6.30036E-02 1.66056E-03 3.69274E-02 3.85880E-02 4.69469E-03 0.586116 1 4 87.5 45.0 135.0 6.36138E-02 1.58447E-03 3.88572E-02 4.04416E-02 4.47956E-03 0.610829 1 7 87.5 90.0 90.0 6.58941E-02 1.76111E-03 4.04452E-02 4.22063E-02 4.97896E-03 0.613790 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 575.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 4.450E-03 1.395E-01 5.080E-02 5.405E-02 6.039E-02 1.258E-02 5.718E+00 1.724E-03 4.874E-03 1 0.00 0.00 3.192E-03 2.461E-01 9.805E-03 1.031E-02 1.072E-02 9.258E-03 5.180E+00 3 10.90 5.00 1.117E-03 7.230E-02 7.319E-03 7.614E-03 8.014E-03 9.638E-03 6.422E+00 5 21.80 10.00 3.416E-04 2.076E-02 2.409E-03 2.459E-03 2.516E-03 9.659E-03 6.545E+00 7 32.70 15.00 1.028E-04 6.160E-03 7.408E-04 7.479E-04 7.554E-04 9.650E-03 6.570E+00 9 43.61 20.00 3.088E-05 1.846E-03 2.242E-04 2.252E-04 2.262E-04 9.639E-03 6.578E+00 11 54.51 25.00 9.271E-06 5.543E-04 6.755E-05 6.768E-05 6.781E-05 9.630E-03 6.581E+00 13 65.41 30.00 2.783E-06 1.665E-04 2.031E-05 2.033E-05 2.035E-05 9.622E-03 6.584E+00 15 76.31 35.00 8.356E-07 5.002E-05 6.105E-06 6.107E-06 6.109E-06 9.617E-03 6.585E+00 17 87.21 40.00 2.509E-07 1.503E-05 1.834E-06 1.834E-06 1.835E-06 9.612E-03 6.586E+00 19 98.11 45.00 7.534E-08 4.514E-06 5.509E-07 5.509E-07 5.510E-07 9.608E-03 6.587E+00 21 109.02 50.00 2.262E-08 1.356E-06 1.655E-07 1.655E-07 1.655E-07 9.605E-03 6.588E+00 Waveband 18 of 30 completed in 20.6 sec. * * * * * Output for wavelength band 19 (580.0 to 590.0 nm; nominal wavelength = 585.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 59.1 m at 585.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 580.0 nm to 590.0 nm: Ed(diffuse) = 3.707E-01 Ed(direct) = 1.010E+00 Ed(total) = 1.381E+00 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 3.452E-01 Ed(direct) = 0.000E+00 Ed(total) = 3.452E-01 Absorption Coefficients of Individual Components at 585.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1100 0.0490 0.0000 0.0051 0.1641 3 11.057 5.000 0.1100 0.0490 0.0000 0.0051 0.1641 5 22.113 10.000 0.1100 0.0490 0.0000 0.0051 0.1641 7 33.170 15.000 0.1100 0.0490 0.0000 0.0051 0.1641 9 44.227 20.000 0.1100 0.0490 0.0000 0.0051 0.1641 11 55.284 25.000 0.1100 0.0490 0.0000 0.0051 0.1641 13 66.340 30.000 0.1100 0.0490 0.0000 0.0051 0.1641 15 77.397 35.000 0.1100 0.0490 0.0000 0.0051 0.1641 17 88.454 40.000 0.1100 0.0490 0.0000 0.0051 0.1641 19 99.510 45.000 0.1100 0.0490 0.0000 0.0051 0.1641 21 110.567 50.000 0.1100 0.0490 0.0000 0.0051 0.1641 Scattering Coefficients of Individual Components at 585.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0015 0.4797 1.5661 0.0000 2.0473 3 11.057 5.000 0.0015 0.4797 1.5661 0.0000 2.0473 5 22.113 10.000 0.0015 0.4797 1.5661 0.0000 2.0473 7 33.170 15.000 0.0015 0.4797 1.5661 0.0000 2.0473 9 44.227 20.000 0.0015 0.4797 1.5661 0.0000 2.0473 11 55.284 25.000 0.0015 0.4797 1.5661 0.0000 2.0473 13 66.340 30.000 0.0015 0.4797 1.5661 0.0000 2.0473 15 77.397 35.000 0.0015 0.4797 1.5661 0.0000 2.0473 17 88.454 40.000 0.0015 0.4797 1.5661 0.0000 2.0473 19 99.510 45.000 0.0015 0.4797 1.5661 0.0000 2.0473 21 110.567 50.000 0.0015 0.4797 1.5661 0.0000 2.0473 Backscattering Coefficients of Individual Components at 585.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00073 0.00672 0.00276 0.00000 0.01021 3 11.057 5.000 0.00073 0.00672 0.00276 0.00000 0.01021 5 22.113 10.000 0.00073 0.00672 0.00276 0.00000 0.01021 7 33.170 15.000 0.00073 0.00672 0.00276 0.00000 0.01021 9 44.227 20.000 0.00073 0.00672 0.00276 0.00000 0.01021 11 55.284 25.000 0.00073 0.00672 0.00276 0.00000 0.01021 13 66.340 30.000 0.00073 0.00672 0.00276 0.00000 0.01021 15 77.397 35.000 0.00073 0.00672 0.00276 0.00000 0.01021 17 88.454 40.000 0.00073 0.00672 0.00276 0.00000 0.01021 19 99.510 45.000 0.00073 0.00672 0.00276 0.00000 0.01021 21 110.567 50.000 0.00073 0.00672 0.00276 0.00000 0.01021 Summary of Inherent Optical Properties at 585.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1641 2.0473 2.2113 0.9258 0.01021 0.00499 3 11.057 5.000 0.1641 2.0473 2.2113 0.9258 0.01021 0.00499 5 22.113 10.000 0.1641 2.0473 2.2113 0.9258 0.01021 0.00499 7 33.170 15.000 0.1641 2.0473 2.2113 0.9258 0.01021 0.00499 9 44.227 20.000 0.1641 2.0473 2.2113 0.9258 0.01021 0.00499 11 55.284 25.000 0.1641 2.0473 2.2113 0.9258 0.01021 0.00499 13 66.340 30.000 0.1641 2.0473 2.2113 0.9258 0.01021 0.00499 15 77.397 35.000 0.1641 2.0473 2.2113 0.9258 0.01021 0.00499 17 88.454 40.000 0.1641 2.0473 2.2113 0.9258 0.01021 0.00499 19 99.510 45.000 0.1641 2.0473 2.2113 0.9258 0.01021 0.00499 21 110.567 50.000 0.1641 2.0473 2.2113 0.9258 0.01021 0.00499 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.6165E-01 8 20.00 8.6472E-01 7 30.00 7.2803E-01 6 40.00 5.7672E-01 5 50.00 4.3294E-01 4 60.00 3.1095E-01 3 70.00 2.1622E-01 2 80.00 1.4816E-01 1 87.50 1.0962E-01 1 92.50 8.6679E-02 2 100.00 6.4021E-02 3 110.00 4.4484E-02 4 120.00 3.1716E-02 5 130.00 2.3580E-02 6 140.00 1.8451E-02 7 150.00 1.5263E-02 8 160.00 1.3356E-02 9 170.00 1.2340E-02 10 180.00 1.1990E-02 Asymptotic AOP values are MUu(inf) = 0.3386 MUd(inf) = 0.6757 MU(inf) = 0.5843 R(inf) = 0.0496 Lu(inf)/Ed(inf) = 0.007285 (1/sr) k(inf) = 0.2808 (1/m) absorp(check) = 0.1641 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 585.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 8.3196E-02 6.1176E-01 6.9495E-01 2.3305E-02 3.4520E-01 0.2801 0.5643 0.4632 6.7512E-02 1 0.00 0.00 3.0985E-02 4.1393E-01 4.4491E-01 1.2481E-02 3.3437E-01 0.4028 0.8078 0.7235 3.7327E-02 3 11.06 5.00 1.3084E-02 1.3388E-01 1.4696E-01 4.4876E-03 9.1873E-02 0.3430 0.6862 0.5946 4.8846E-02 5 22.11 10.00 3.3544E-03 3.3785E-02 3.7140E-02 1.1402E-03 2.2882E-02 0.3399 0.6773 0.5854 4.9831E-02 7 33.17 15.00 8.3023E-04 8.3423E-03 9.1725E-03 2.8181E-04 5.6378E-03 0.3394 0.6758 0.5839 4.9986E-02 9 44.23 20.00 2.0433E-04 2.0523E-03 2.2566E-03 6.9338E-05 1.3864E-03 0.3393 0.6755 0.5836 5.0014E-02 11 55.28 25.00 5.0235E-05 5.0451E-04 5.5475E-04 1.7046E-05 3.4078E-04 0.3393 0.6755 0.5836 5.0022E-02 13 66.34 30.00 1.2349E-05 1.2401E-04 1.3635E-04 4.1904E-06 8.3760E-05 0.3393 0.6754 0.5835 5.0029E-02 15 77.40 35.00 3.0356E-06 3.0480E-05 3.3515E-05 1.0302E-06 2.0587E-05 0.3394 0.6754 0.5835 5.0038E-02 17 88.45 40.00 7.4626E-07 7.4917E-06 8.2379E-06 2.5326E-07 5.0602E-06 0.3394 0.6754 0.5835 5.0050E-02 19 99.51 45.00 1.8347E-07 1.8415E-06 2.0249E-06 6.2270E-08 1.2438E-06 0.3394 0.6754 0.5835 5.0065E-02 21 110.57 50.00 4.5121E-08 4.5278E-07 4.9790E-07 1.5315E-08 3.0582E-07 0.3394 0.6754 0.5835 5.0080E-02 K-functions (units of 1/meter) at 585.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.04566 0.16166 0.15358 0.06423 0.22026 0.22632 0.19023 5.000 5.010 5.005 0.26094 0.26870 0.26801 0.26540 0.27489 0.27537 0.27302 10.000 10.010 10.005 0.27777 0.27878 0.27868 0.27836 0.27967 0.27974 0.27946 15.000 15.010 15.005 0.28013 0.28030 0.28028 0.28023 0.28046 0.28048 0.28045 20.000 20.010 20.005 0.28055 0.28058 0.28058 0.28057 0.28062 0.28062 0.28061 25.000 25.010 25.005 0.28062 0.28064 0.28064 0.28063 0.28065 0.28065 0.28062 30.000 30.010 30.005 0.28063 0.28065 0.28065 0.28062 0.28066 0.28066 0.28060 35.000 35.010 35.005 0.28062 0.28065 0.28065 0.28061 0.28065 0.28066 0.28058 40.000 40.010 40.005 0.28061 0.28065 0.28065 0.28060 0.28065 0.28065 0.28055 45.000 45.010 45.005 0.28060 0.28064 0.28064 0.28058 0.28064 0.28065 0.28054 50.000 50.010 50.005 0.28061 0.28064 0.28064 0.28059 0.28064 0.28064 0.28060 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 585.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.36190E-01 1.26726E-03 2.66065E-03 3.92791E-03 3.67105E-03 0.019536 9 1 10.0 0.0 180.0 1.26077E-01 1.29187E-03 2.49060E-03 3.78248E-03 3.74236E-03 0.019755 9 4 10.0 45.0 135.0 1.27892E-01 1.28990E-03 2.52613E-03 3.81603E-03 3.73664E-03 0.019752 9 7 10.0 90.0 90.0 1.33595E-01 1.29458E-03 2.63145E-03 3.92604E-03 3.75021E-03 0.019697 8 1 20.0 0.0 180.0 1.18326E-01 1.33065E-03 2.37926E-03 3.70991E-03 3.85468E-03 0.020108 8 4 20.0 45.0 135.0 1.20444E-01 1.32337E-03 2.42376E-03 3.74712E-03 3.83358E-03 0.020123 8 7 20.0 90.0 90.0 1.27913E-01 1.33373E-03 2.55602E-03 3.88975E-03 3.86359E-03 0.019983 7 1 30.0 0.0 180.0 1.10551E-01 1.38899E-03 2.35567E-03 3.74466E-03 4.02369E-03 0.021309 7 4 30.0 45.0 135.0 1.12544E-01 1.39556E-03 2.40130E-03 3.79687E-03 4.04273E-03 0.021337 7 7 30.0 90.0 90.0 1.20021E-01 1.40324E-03 2.55259E-03 3.95582E-03 4.06495E-03 0.021268 6 1 40.0 0.0 180.0 1.02641E-01 1.47717E-03 2.54782E-03 4.02499E-03 4.27912E-03 0.024823 6 4 40.0 45.0 135.0 1.04357E-01 1.48469E-03 2.58654E-03 4.07124E-03 4.30093E-03 0.024786 6 7 40.0 90.0 90.0 1.10982E-01 1.49769E-03 2.75974E-03 4.25742E-03 4.33856E-03 0.024866 5 1 50.0 0.0 180.0 9.44601E-02 1.58240E-03 3.26985E-03 4.85225E-03 4.58396E-03 0.034616 5 4 50.0 45.0 135.0 9.58724E-02 1.58280E-03 3.32585E-03 4.90865E-03 4.58513E-03 0.034690 5 7 50.0 90.0 90.0 1.01385E-01 1.59821E-03 3.52035E-03 5.11856E-03 4.62977E-03 0.034723 4 1 60.0 0.0 180.0 8.59593E-02 1.65046E-03 5.34251E-03 6.99298E-03 4.78114E-03 0.062152 4 4 60.0 45.0 135.0 8.70947E-02 1.64842E-03 5.40001E-03 7.04843E-03 4.77522E-03 0.062002 4 7 60.0 90.0 90.0 9.15219E-02 1.68177E-03 5.71957E-03 7.40134E-03 4.87182E-03 0.062494 3 1 70.0 0.0 180.0 7.71775E-02 1.63054E-03 1.06183E-02 1.22488E-02 4.72343E-03 0.137583 3 4 70.0 45.0 135.0 7.80787E-02 1.64409E-03 1.07780E-02 1.24221E-02 4.76266E-03 0.138040 3 7 70.0 90.0 90.0 8.15604E-02 1.67088E-03 1.14480E-02 1.31189E-02 4.84027E-03 0.140362 2 1 80.0 0.0 180.0 6.82209E-02 1.47514E-03 2.16614E-02 2.31365E-02 4.27325E-03 0.317518 2 4 80.0 45.0 135.0 6.89322E-02 1.48246E-03 2.23621E-02 2.38445E-02 4.29445E-03 0.324406 2 7 80.0 90.0 90.0 7.16359E-02 1.49806E-03 2.35753E-02 2.50733E-02 4.33963E-03 0.329098 1 1 87.5 0.0 180.0 6.14882E-02 1.24879E-03 3.60392E-02 3.72880E-02 3.61754E-03 0.586116 1 4 87.5 45.0 135.0 6.20838E-02 1.19146E-03 3.79226E-02 3.91141E-02 3.45147E-03 0.610829 1 7 87.5 90.0 90.0 6.43093E-02 1.32461E-03 3.94724E-02 4.07970E-02 3.83720E-03 0.613790 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 585.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 3.928E-03 1.362E-01 4.939E-02 5.255E-02 5.874E-02 1.138E-02 5.933E+00 1.267E-03 3.671E-03 1 0.00 0.00 2.347E-03 2.402E-01 7.731E-03 8.145E-03 8.495E-03 7.018E-03 5.319E+00 3 11.06 5.00 6.761E-04 5.945E-02 4.969E-03 5.173E-03 5.452E-03 7.359E-03 6.637E+00 5 22.11 10.00 1.690E-04 1.411E-02 1.327E-03 1.356E-03 1.387E-03 7.388E-03 6.745E+00 7 33.17 15.00 4.167E-05 3.434E-03 3.334E-04 3.366E-04 3.400E-04 7.391E-03 6.763E+00 9 44.23 20.00 1.025E-05 8.423E-04 8.255E-05 8.290E-05 8.326E-05 7.391E-03 6.767E+00 11 55.28 25.00 2.519E-06 2.069E-04 2.035E-05 2.038E-05 2.042E-05 7.392E-03 6.767E+00 13 66.34 30.00 6.193E-07 5.086E-05 5.006E-06 5.011E-06 5.015E-06 7.393E-03 6.767E+00 15 77.40 35.00 1.523E-07 1.250E-05 1.231E-06 1.232E-06 1.232E-06 7.396E-03 6.766E+00 17 88.45 40.00 3.744E-08 3.072E-06 3.027E-07 3.027E-07 3.028E-07 7.399E-03 6.764E+00 19 99.51 45.00 9.208E-09 7.552E-07 7.442E-08 7.442E-08 7.443E-08 7.403E-03 6.763E+00 21 110.57 50.00 2.265E-09 1.857E-07 1.830E-08 1.830E-08 1.830E-08 7.406E-03 6.762E+00 Waveband 19 of 30 completed in 21.2 sec. * * * * * Output for wavelength band 20 (590.0 to 600.0 nm; nominal wavelength = 595.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 58.8 m at 595.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 590.0 nm to 600.0 nm: Ed(diffuse) = 3.536E-01 Ed(direct) = 9.762E-01 Ed(total) = 1.330E+00 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 3.324E-01 Ed(direct) = 0.000E+00 Ed(total) = 3.324E-01 Absorption Coefficients of Individual Components at 595.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1672 0.0468 0.0000 0.0044 0.2184 3 11.328 5.000 0.1672 0.0468 0.0000 0.0044 0.2184 5 22.656 10.000 0.1672 0.0468 0.0000 0.0044 0.2184 7 33.984 15.000 0.1672 0.0468 0.0000 0.0044 0.2184 9 45.312 20.000 0.1672 0.0468 0.0000 0.0044 0.2184 11 56.639 25.000 0.1672 0.0468 0.0000 0.0044 0.2184 13 67.967 30.000 0.1672 0.0468 0.0000 0.0044 0.2184 15 79.295 35.000 0.1672 0.0468 0.0000 0.0044 0.2184 17 90.623 40.000 0.1672 0.0468 0.0000 0.0044 0.2184 19 101.951 45.000 0.1672 0.0468 0.0000 0.0044 0.2184 21 113.279 50.000 0.1672 0.0468 0.0000 0.0044 0.2184 Scattering Coefficients of Individual Components at 595.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0014 0.4797 1.5661 0.0000 2.0471 3 11.328 5.000 0.0014 0.4797 1.5661 0.0000 2.0471 5 22.656 10.000 0.0014 0.4797 1.5661 0.0000 2.0471 7 33.984 15.000 0.0014 0.4797 1.5661 0.0000 2.0471 9 45.312 20.000 0.0014 0.4797 1.5661 0.0000 2.0471 11 56.639 25.000 0.0014 0.4797 1.5661 0.0000 2.0471 13 67.967 30.000 0.0014 0.4797 1.5661 0.0000 2.0471 15 79.295 35.000 0.0014 0.4797 1.5661 0.0000 2.0471 17 90.623 40.000 0.0014 0.4797 1.5661 0.0000 2.0471 19 101.951 45.000 0.0014 0.4797 1.5661 0.0000 2.0471 21 113.279 50.000 0.0014 0.4797 1.5661 0.0000 2.0471 Backscattering Coefficients of Individual Components at 595.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00068 0.00672 0.00276 0.00000 0.01016 3 11.328 5.000 0.00068 0.00672 0.00276 0.00000 0.01016 5 22.656 10.000 0.00068 0.00672 0.00276 0.00000 0.01016 7 33.984 15.000 0.00068 0.00672 0.00276 0.00000 0.01016 9 45.312 20.000 0.00068 0.00672 0.00276 0.00000 0.01016 11 56.639 25.000 0.00068 0.00672 0.00276 0.00000 0.01016 13 67.967 30.000 0.00068 0.00672 0.00276 0.00000 0.01016 15 79.295 35.000 0.00068 0.00672 0.00276 0.00000 0.01016 17 90.623 40.000 0.00068 0.00672 0.00276 0.00000 0.01016 19 101.951 45.000 0.00068 0.00672 0.00276 0.00000 0.01016 21 113.279 50.000 0.00068 0.00672 0.00276 0.00000 0.01016 Summary of Inherent Optical Properties at 595.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2184 2.0471 2.2656 0.9036 0.01016 0.00496 3 11.328 5.000 0.2184 2.0471 2.2656 0.9036 0.01016 0.00496 5 22.656 10.000 0.2184 2.0471 2.2656 0.9036 0.01016 0.00496 7 33.984 15.000 0.2184 2.0471 2.2656 0.9036 0.01016 0.00496 9 45.312 20.000 0.2184 2.0471 2.2656 0.9036 0.01016 0.00496 11 56.639 25.000 0.2184 2.0471 2.2656 0.9036 0.01016 0.00496 13 67.967 30.000 0.2184 2.0471 2.2656 0.9036 0.01016 0.00496 15 79.295 35.000 0.2184 2.0471 2.2656 0.9036 0.01016 0.00496 17 90.623 40.000 0.2184 2.0471 2.2656 0.9036 0.01016 0.00496 19 101.951 45.000 0.2184 2.0471 2.2656 0.9036 0.01016 0.00496 21 113.279 50.000 0.2184 2.0471 2.2656 0.9036 0.01016 0.00496 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.5564E-01 8 20.00 8.4482E-01 7 30.00 6.9219E-01 6 40.00 5.2884E-01 5 50.00 3.8010E-01 4 60.00 2.6003E-01 3 70.00 1.7176E-01 2 80.00 1.1187E-01 1 87.50 7.9795E-02 1 92.50 6.1512E-02 2 100.00 4.4025E-02 3 110.00 2.9568E-02 4 120.00 2.0548E-02 5 130.00 1.5034E-02 6 140.00 1.1677E-02 7 150.00 9.6478E-03 8 160.00 8.4596E-03 9 170.00 7.8359E-03 10 180.00 7.6225E-03 Asymptotic AOP values are MUu(inf) = 0.3288 MUd(inf) = 0.6970 MU(inf) = 0.6261 R(inf) = 0.0351 Lu(inf)/Ed(inf) = 0.005016 (1/sr) k(inf) = 0.3489 (1/m) absorp(check) = 0.2184 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 595.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 7.7236E-02 5.8915E-01 6.6639E-01 2.1000E-02 3.3245E-01 0.2719 0.5643 0.4674 6.3168E-02 1 0.00 0.00 2.1510E-02 3.9171E-01 4.1322E-01 8.4534E-03 3.1990E-01 0.3930 0.8167 0.7537 2.6426E-02 3 11.33 5.00 6.5330E-03 8.8342E-02 9.4875E-02 2.1738E-03 6.2217E-02 0.3327 0.7043 0.6329 3.4939E-02 5 22.66 10.00 1.1856E-03 1.5762E-02 1.6947E-02 3.9247E-04 1.0998E-02 0.3310 0.6978 0.6258 3.5685E-02 7 33.98 15.00 2.0983E-04 2.7689E-03 2.9787E-03 6.9554E-05 1.9290E-03 0.3315 0.6967 0.6243 3.6057E-02 9 45.31 20.00 3.7123E-05 4.8569E-04 5.2281E-04 1.2345E-05 3.3817E-04 0.3325 0.6963 0.6232 3.6505E-02 11 56.64 25.00 6.5984E-06 8.5279E-05 9.1878E-05 2.2049E-06 5.9346E-05 0.3342 0.6959 0.6219 3.7153E-02 13 67.97 30.00 1.1818E-06 1.5005E-05 1.6187E-05 3.9766E-07 1.0434E-05 0.3365 0.6954 0.6200 3.8111E-02 15 79.30 35.00 2.1403E-07 2.6486E-06 2.8626E-06 7.2722E-08 1.8398E-06 0.3398 0.6946 0.6173 3.9528E-02 17 90.62 40.00 3.9365E-08 4.6971E-07 5.0908E-07 1.3555E-08 3.2576E-07 0.3443 0.6935 0.6133 4.1609E-02 19 101.95 45.00 7.3941E-09 8.3876E-08 9.1270E-08 2.5907E-09 5.8037E-08 0.3504 0.6919 0.6075 4.4638E-02 21 113.28 50.00 1.4269E-09 1.5127E-08 1.6553E-08 5.1071E-10 1.0432E-08 0.3579 0.6897 0.5994 4.8954E-02 K-functions (units of 1/meter) at 595.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.04624 0.21191 0.20328 0.09791 0.28434 0.28940 0.24825 5.000 5.010 5.005 0.33199 0.33944 0.33893 0.33532 0.34402 0.34433 0.34064 10.000 10.010 10.005 0.34553 0.34723 0.34711 0.34556 0.34784 0.34792 0.34516 15.000 15.010 15.005 0.34663 0.34812 0.34801 0.34615 0.34827 0.34835 0.34462 20.000 20.010 20.005 0.34604 0.34806 0.34792 0.34525 0.34817 0.34828 0.34287 25.000 25.010 25.005 0.34482 0.34775 0.34754 0.34366 0.34787 0.34804 0.34027 30.000 30.010 30.005 0.34298 0.34723 0.34692 0.34133 0.34741 0.34765 0.33664 35.000 35.010 35.005 0.34036 0.34646 0.34601 0.33808 0.34672 0.34708 0.33182 40.000 40.010 40.005 0.33673 0.34532 0.34466 0.33368 0.34571 0.34623 0.32570 45.000 45.010 45.005 0.33193 0.34369 0.34273 0.32802 0.34423 0.34499 0.31845 50.000 50.010 50.005 0.32603 0.34132 0.34000 0.32157 0.34211 0.34317 0.31209 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 595.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.31158E-01 8.36659E-04 2.56235E-03 3.39901E-03 2.51665E-03 0.019536 9 1 10.0 0.0 180.0 1.21418E-01 8.52678E-04 2.39858E-03 3.25126E-03 2.56484E-03 0.019755 9 4 10.0 45.0 135.0 1.23166E-01 8.51255E-04 2.43280E-03 3.28405E-03 2.56056E-03 0.019752 9 7 10.0 90.0 90.0 1.28659E-01 8.54058E-04 2.53423E-03 3.38829E-03 2.56899E-03 0.019697 8 1 20.0 0.0 180.0 1.13955E-01 8.77403E-04 2.29136E-03 3.16876E-03 2.63921E-03 0.020108 8 4 20.0 45.0 135.0 1.15994E-01 8.72412E-04 2.33420E-03 3.20662E-03 2.62420E-03 0.020123 8 7 20.0 90.0 90.0 1.23187E-01 8.78797E-04 2.46158E-03 3.34038E-03 2.64340E-03 0.019983 7 1 30.0 0.0 180.0 1.06466E-01 9.14937E-04 2.26863E-03 3.18357E-03 2.75211E-03 0.021309 7 4 30.0 45.0 135.0 1.08386E-01 9.19011E-04 2.31258E-03 3.23159E-03 2.76437E-03 0.021337 7 7 30.0 90.0 90.0 1.15587E-01 9.23481E-04 2.45828E-03 3.38176E-03 2.77781E-03 0.021268 6 1 40.0 0.0 180.0 9.88490E-02 9.72193E-04 2.45369E-03 3.42588E-03 2.92433E-03 0.024823 6 4 40.0 45.0 135.0 1.00501E-01 9.76831E-04 2.49098E-03 3.46781E-03 2.93829E-03 0.024786 6 7 40.0 90.0 90.0 1.06882E-01 9.84686E-04 2.65777E-03 3.64246E-03 2.96191E-03 0.024866 5 1 50.0 0.0 180.0 9.09701E-02 1.04255E-03 3.14904E-03 4.19159E-03 3.13597E-03 0.034616 5 4 50.0 45.0 135.0 9.23302E-02 1.04248E-03 3.20297E-03 4.24545E-03 3.13577E-03 0.034690 5 7 50.0 90.0 90.0 9.76391E-02 1.05193E-03 3.39028E-03 4.44222E-03 3.16419E-03 0.034723 4 1 60.0 0.0 180.0 8.27834E-02 1.08959E-03 5.14512E-03 6.23471E-03 3.27746E-03 0.062152 4 4 60.0 45.0 135.0 8.38768E-02 1.08789E-03 5.20050E-03 6.28839E-03 3.27235E-03 0.062002 4 7 60.0 90.0 90.0 8.81404E-02 1.10923E-03 5.50825E-03 6.61748E-03 3.33655E-03 0.062494 3 1 70.0 0.0 180.0 7.43260E-02 1.08153E-03 1.02260E-02 1.13075E-02 3.25321E-03 0.137583 3 4 70.0 45.0 135.0 7.51939E-02 1.09019E-03 1.03798E-02 1.14700E-02 3.27926E-03 0.138040 3 7 70.0 90.0 90.0 7.85470E-02 1.10748E-03 1.10250E-02 1.21325E-02 3.33128E-03 0.140362 2 1 80.0 0.0 180.0 6.57004E-02 9.83652E-04 2.08611E-02 2.18447E-02 2.95880E-03 0.317518 2 4 80.0 45.0 135.0 6.63854E-02 9.88330E-04 2.15358E-02 2.25242E-02 2.97287E-03 0.324406 2 7 80.0 90.0 90.0 6.89892E-02 9.98298E-04 2.27042E-02 2.37025E-02 3.00286E-03 0.329098 1 1 87.5 0.0 180.0 5.92164E-02 8.38506E-04 3.47077E-02 3.55462E-02 2.52221E-03 0.586116 1 4 87.5 45.0 135.0 5.97900E-02 7.99795E-04 3.65215E-02 3.73213E-02 2.40577E-03 0.610829 1 7 87.5 90.0 90.0 6.19332E-02 8.89052E-04 3.80140E-02 3.89031E-02 2.67425E-03 0.613790 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 595.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 3.399E-03 1.312E-01 4.738E-02 5.042E-02 5.638E-02 1.022E-02 6.178E+00 8.367E-04 2.517E-03 1 0.00 0.00 1.549E-03 2.313E-01 5.577E-03 5.891E-03 6.164E-03 4.844E-03 5.456E+00 3 11.33 5.00 3.195E-04 4.258E-02 2.666E-03 2.777E-03 2.929E-03 5.135E-03 6.805E+00 5 22.66 10.00 5.726E-05 7.299E-03 5.009E-04 5.114E-04 5.233E-04 5.206E-03 6.854E+00 7 33.98 15.00 1.020E-05 1.270E-03 8.960E-05 9.044E-05 9.131E-05 5.288E-03 6.819E+00 9 45.31 20.00 1.828E-06 2.222E-04 1.587E-05 1.593E-05 1.600E-05 5.406E-03 6.753E+00 11 56.64 25.00 3.312E-07 3.894E-05 2.808E-06 2.813E-06 2.818E-06 5.581E-03 6.657E+00 13 67.97 30.00 6.095E-08 6.838E-06 4.985E-07 4.988E-07 4.992E-07 5.841E-03 6.524E+00 15 79.30 35.00 1.145E-08 1.203E-06 8.904E-08 8.907E-08 8.910E-08 6.226E-03 6.349E+00 17 90.62 40.00 2.212E-09 2.125E-07 1.606E-08 1.606E-08 1.606E-08 6.791E-03 6.127E+00 19 101.95 45.00 4.418E-10 3.770E-08 2.936E-09 2.937E-09 2.937E-09 7.613E-03 5.863E+00 21 113.28 50.00 9.151E-11 6.736E-09 5.472E-10 5.472E-10 5.472E-10 8.771E-03 5.581E+00 Waveband 20 of 30 completed in 23.0 sec. * * * * * Output for wavelength band 21 (600.0 to 610.0 nm; nominal wavelength = 605.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 58.5 m at 605.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 600.0 nm to 610.0 nm: Ed(diffuse) = 3.601E-01 Ed(direct) = 1.006E+00 Ed(total) = 1.366E+00 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 3.414E-01 Ed(direct) = 0.000E+00 Ed(total) = 3.414E-01 Absorption Coefficients of Individual Components at 605.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2577 0.0456 0.0000 0.0039 0.3071 3 11.771 5.000 0.2577 0.0456 0.0000 0.0039 0.3071 5 23.542 10.000 0.2577 0.0456 0.0000 0.0039 0.3071 7 35.313 15.000 0.2577 0.0456 0.0000 0.0039 0.3071 9 47.084 20.000 0.2577 0.0456 0.0000 0.0039 0.3071 11 58.854 25.000 0.2577 0.0456 0.0000 0.0039 0.3071 13 70.625 30.000 0.2577 0.0456 0.0000 0.0039 0.3071 15 82.396 35.000 0.2577 0.0456 0.0000 0.0039 0.3071 17 94.167 40.000 0.2577 0.0456 0.0000 0.0039 0.3071 19 105.938 45.000 0.2577 0.0456 0.0000 0.0039 0.3071 21 117.709 50.000 0.2577 0.0456 0.0000 0.0039 0.3071 Scattering Coefficients of Individual Components at 605.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0013 0.4797 1.5661 0.0000 2.0471 3 11.771 5.000 0.0013 0.4797 1.5661 0.0000 2.0471 5 23.542 10.000 0.0013 0.4797 1.5661 0.0000 2.0471 7 35.313 15.000 0.0013 0.4797 1.5661 0.0000 2.0471 9 47.084 20.000 0.0013 0.4797 1.5661 0.0000 2.0471 11 58.854 25.000 0.0013 0.4797 1.5661 0.0000 2.0471 13 70.625 30.000 0.0013 0.4797 1.5661 0.0000 2.0471 15 82.396 35.000 0.0013 0.4797 1.5661 0.0000 2.0471 17 94.167 40.000 0.0013 0.4797 1.5661 0.0000 2.0471 19 105.938 45.000 0.0013 0.4797 1.5661 0.0000 2.0471 21 117.709 50.000 0.0013 0.4797 1.5661 0.0000 2.0471 Backscattering Coefficients of Individual Components at 605.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00063 0.00672 0.00276 0.00000 0.01012 3 11.771 5.000 0.00063 0.00672 0.00276 0.00000 0.01012 5 23.542 10.000 0.00063 0.00672 0.00276 0.00000 0.01012 7 35.313 15.000 0.00063 0.00672 0.00276 0.00000 0.01012 9 47.084 20.000 0.00063 0.00672 0.00276 0.00000 0.01012 11 58.854 25.000 0.00063 0.00672 0.00276 0.00000 0.01012 13 70.625 30.000 0.00063 0.00672 0.00276 0.00000 0.01012 15 82.396 35.000 0.00063 0.00672 0.00276 0.00000 0.01012 17 94.167 40.000 0.00063 0.00672 0.00276 0.00000 0.01012 19 105.938 45.000 0.00063 0.00672 0.00276 0.00000 0.01012 21 117.709 50.000 0.00063 0.00672 0.00276 0.00000 0.01012 Summary of Inherent Optical Properties at 605.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3071 2.0471 2.3542 0.8695 0.01012 0.00494 3 11.771 5.000 0.3071 2.0471 2.3542 0.8695 0.01012 0.00494 5 23.542 10.000 0.3071 2.0471 2.3542 0.8695 0.01012 0.00494 7 35.313 15.000 0.3071 2.0471 2.3542 0.8695 0.01012 0.00494 9 47.084 20.000 0.3071 2.0471 2.3542 0.8695 0.01012 0.00494 11 58.854 25.000 0.3071 2.0471 2.3542 0.8695 0.01012 0.00494 13 70.625 30.000 0.3071 2.0471 2.3542 0.8695 0.01012 0.00494 15 82.396 35.000 0.3071 2.0471 2.3542 0.8695 0.01012 0.00494 17 94.167 40.000 0.3071 2.0471 2.3542 0.8695 0.01012 0.00494 19 105.938 45.000 0.3071 2.0471 2.3542 0.8695 0.01012 0.00494 21 117.709 50.000 0.3071 2.0471 2.3542 0.8695 0.01012 0.00494 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4708E-01 8 20.00 8.1714E-01 7 30.00 6.4409E-01 6 40.00 4.6759E-01 5 50.00 3.1631E-01 4 60.00 2.0241E-01 3 70.00 1.2479E-01 2 80.00 7.6065E-02 1 87.50 5.1817E-02 1 92.50 3.8768E-02 2 100.00 2.6777E-02 3 110.00 1.7349E-02 4 120.00 1.1783E-02 5 130.00 8.5357E-03 6 140.00 6.6326E-03 7 150.00 5.5161E-03 8 160.00 4.8763E-03 9 170.00 4.5454E-03 10 180.00 4.4328E-03 Asymptotic AOP values are MUu(inf) = 0.3202 MUd(inf) = 0.7242 MU(inf) = 0.6733 R(inf) = 0.0227 Lu(inf)/Ed(inf) = 0.003242 (1/sr) k(inf) = 0.4562 (1/m) absorp(check) = 0.3071 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 605.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 7.6985E-02 6.0505E-01 6.8203E-01 2.0409E-02 3.4142E-01 0.2651 0.5643 0.4707 5.9777E-02 1 0.00 0.00 1.4940E-02 3.9628E-01 4.1122E-01 5.7054E-03 3.2671E-01 0.3819 0.8244 0.7806 1.7463E-02 3 11.77 5.00 2.6085E-03 5.0345E-02 5.2953E-02 8.4628E-04 3.6621E-02 0.3244 0.7274 0.6756 2.3109E-02 5 23.54 10.00 2.7965E-04 5.2146E-03 5.4942E-03 9.1464E-05 3.7736E-03 0.3271 0.7237 0.6702 2.4238E-02 7 35.31 15.00 3.0770E-05 5.3854E-04 5.6931E-04 1.0330E-05 3.8885E-04 0.3357 0.7220 0.6649 2.6567E-02 9 47.08 20.00 3.6993E-06 5.6332E-05 6.0031E-05 1.3075E-06 4.0495E-05 0.3534 0.7189 0.6528 3.2288E-02 11 58.85 25.00 5.2327E-07 6.0915E-06 6.6148E-06 1.9963E-07 4.3341E-06 0.3815 0.7115 0.6250 4.6061E-02 13 70.63 30.00 9.1806E-08 7.1024E-07 8.0204E-07 3.7839E-08 4.9415E-07 0.4122 0.6958 0.5689 7.6574E-02 15 82.40 35.00 1.9554E-08 9.5747E-08 1.1530E-07 8.4973E-09 6.4017E-08 0.4346 0.6686 0.4815 1.3274E-01 17 94.17 40.00 4.7084E-09 1.5934E-08 2.0643E-08 2.1025E-09 1.0128E-08 0.4465 0.6356 0.3888 2.0759E-01 19 105.94 45.00 1.2054E-09 3.2671E-09 4.4725E-09 5.4478E-10 1.9903E-09 0.4520 0.6092 0.3232 2.7372E-01 21 117.71 50.00 3.1761E-10 7.7192E-10 1.0895E-09 1.4437E-10 4.5861E-10 0.4545 0.5941 0.2884 3.1480E-01 K-functions (units of 1/meter) at 605.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.07698 0.30587 0.29754 0.16951 0.38925 0.39316 0.34683 5.000 5.010 5.005 0.44251 0.45047 0.45008 0.44336 0.45311 0.45334 0.44279 10.000 10.010 10.005 0.44620 0.45449 0.45407 0.44288 0.45493 0.45523 0.43341 15.000 15.010 15.005 0.43475 0.45324 0.45224 0.42728 0.45381 0.45453 0.40828 20.000 20.010 20.005 0.40995 0.44913 0.44672 0.39677 0.45045 0.45224 0.36847 25.000 25.010 25.005 0.37032 0.43924 0.43379 0.35380 0.44225 0.44652 0.32539 30.000 30.010 30.005 0.32664 0.41793 0.40747 0.31317 0.42408 0.43328 0.29407 35.000 35.010 35.005 0.29454 0.38109 0.36640 0.28681 0.39065 0.40656 0.27709 40.000 40.010 40.005 0.27708 0.33621 0.32272 0.27350 0.34613 0.36516 0.26922 45.000 45.010 45.005 0.26901 0.30006 0.29169 0.26749 0.30682 0.32165 0.26564 50.000 50.010 50.005 0.26430 0.27936 0.27497 0.26317 0.28281 0.29183 0.26148 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 605.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.34696E-01 5.56417E-04 2.63147E-03 3.18788E-03 1.62973E-03 0.019536 9 1 10.0 0.0 180.0 1.24694E-01 5.66629E-04 2.46328E-03 3.02991E-03 1.65964E-03 0.019755 9 4 10.0 45.0 135.0 1.26489E-01 5.65561E-04 2.49842E-03 3.06398E-03 1.65651E-03 0.019752 9 7 10.0 90.0 90.0 1.32130E-01 5.67131E-04 2.60259E-03 3.16972E-03 1.66111E-03 0.019697 8 1 20.0 0.0 180.0 1.17029E-01 5.81664E-04 2.35316E-03 2.93483E-03 1.70368E-03 0.020108 8 4 20.0 45.0 135.0 1.19123E-01 5.78163E-04 2.39717E-03 2.97533E-03 1.69342E-03 0.020123 8 7 20.0 90.0 90.0 1.26509E-01 5.81929E-04 2.52798E-03 3.10991E-03 1.70445E-03 0.019983 7 1 30.0 0.0 180.0 1.09338E-01 6.04797E-04 2.32983E-03 2.93463E-03 1.77143E-03 0.021309 7 4 30.0 45.0 135.0 1.11309E-01 6.07228E-04 2.37496E-03 2.98219E-03 1.77855E-03 0.021337 7 7 30.0 90.0 90.0 1.18705E-01 6.09554E-04 2.52459E-03 3.13414E-03 1.78536E-03 0.021268 6 1 40.0 0.0 180.0 1.01515E-01 6.40083E-04 2.51988E-03 3.15996E-03 1.87478E-03 0.024823 6 4 40.0 45.0 135.0 1.03212E-01 6.42795E-04 2.55817E-03 3.20096E-03 1.88273E-03 0.024786 6 7 40.0 90.0 90.0 1.09765E-01 6.47168E-04 2.72947E-03 3.37663E-03 1.89554E-03 0.024866 5 1 50.0 0.0 180.0 9.34239E-02 6.85109E-04 3.23398E-03 3.91909E-03 2.00667E-03 0.034616 5 4 50.0 45.0 135.0 9.48208E-02 6.84681E-04 3.28936E-03 3.97405E-03 2.00541E-03 0.034690 5 7 50.0 90.0 90.0 1.00273E-01 6.90013E-04 3.48173E-03 4.17175E-03 2.02103E-03 0.034723 4 1 60.0 0.0 180.0 8.50164E-02 7.15553E-04 5.28391E-03 5.99946E-03 2.09583E-03 0.062152 4 4 60.0 45.0 135.0 8.61394E-02 7.14033E-04 5.34078E-03 6.05481E-03 2.09138E-03 0.062002 4 7 60.0 90.0 90.0 9.05179E-02 7.27136E-04 5.65683E-03 6.38397E-03 2.12976E-03 0.062494 3 1 70.0 0.0 180.0 7.63309E-02 7.11964E-04 1.05018E-02 1.12138E-02 2.08532E-03 0.137583 3 4 70.0 45.0 135.0 7.72222E-02 7.17279E-04 1.06598E-02 1.13770E-02 2.10089E-03 0.138040 3 7 70.0 90.0 90.0 8.06658E-02 7.27855E-04 1.13224E-02 1.20503E-02 2.13187E-03 0.140362 2 1 80.0 0.0 180.0 6.74726E-02 6.49990E-04 2.14238E-02 2.20738E-02 1.90380E-03 0.317518 2 4 80.0 45.0 135.0 6.81761E-02 6.52776E-04 2.21168E-02 2.27695E-02 1.91196E-03 0.324406 2 7 80.0 90.0 90.0 7.08501E-02 6.58651E-04 2.33167E-02 2.39753E-02 1.92917E-03 0.329098 1 1 87.5 0.0 180.0 6.08138E-02 5.57562E-04 3.56439E-02 3.62015E-02 1.63308E-03 0.586116 1 4 87.5 45.0 135.0 6.14028E-02 5.31556E-04 3.75066E-02 3.80382E-02 1.55691E-03 0.610829 1 7 87.5 90.0 90.0 6.36038E-02 5.90424E-04 3.90394E-02 3.96298E-02 1.72933E-03 0.613790 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 605.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 3.188E-03 1.347E-01 4.851E-02 5.162E-02 5.773E-02 9.337E-03 6.402E+00 5.564E-04 1.630E-03 1 0.00 0.00 1.031E-03 2.375E-01 4.073E-03 4.315E-03 4.530E-03 3.155E-03 5.535E+00 3 11.77 5.00 1.252E-04 2.707E-02 1.144E-03 1.192E-03 1.257E-03 3.418E-03 6.760E+00 5 23.54 10.00 1.391E-05 2.763E-03 1.246E-04 1.271E-04 1.299E-04 3.685E-03 6.577E+00 7 35.31 15.00 1.685E-06 2.832E-04 1.339E-05 1.350E-05 1.361E-05 4.332E-03 6.132E+00 9 47.08 20.00 2.405E-07 2.927E-05 1.496E-06 1.501E-06 1.505E-06 5.938E-03 5.438E+00 11 58.85 25.00 4.252E-08 3.080E-06 1.847E-07 1.849E-07 1.851E-07 9.811E-03 4.695E+00 13 70.63 30.00 9.094E-09 3.379E-07 2.718E-08 2.719E-08 2.719E-08 1.840E-02 4.161E+00 15 82.40 35.00 2.192E-09 4.064E-08 4.976E-09 4.976E-09 4.976E-09 3.424E-02 3.877E+00 17 94.17 40.00 5.607E-10 5.770E-09 1.093E-09 1.093E-09 1.093E-09 5.536E-02 3.750E+00 19 105.94 45.00 1.474E-10 1.020E-09 2.679E-10 2.679E-10 2.679E-10 7.406E-02 3.696E+00 21 117.71 50.00 3.936E-11 2.190E-10 6.918E-11 6.918E-11 6.918E-11 8.582E-02 3.668E+00 Waveband 21 of 30 completed in 24.2 sec. * * * * * Output for wavelength band 22 (610.0 to 620.0 nm; nominal wavelength = 615.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 58.5 m at 615.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 610.0 nm to 620.0 nm: Ed(diffuse) = 3.486E-01 Ed(direct) = 9.845E-01 Ed(total) = 1.333E+00 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 3.333E-01 Ed(direct) = 0.000E+00 Ed(total) = 3.333E-01 Absorption Coefficients of Individual Components at 615.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2678 0.0498 0.0000 0.0034 0.3209 3 11.840 5.000 0.2678 0.0498 0.0000 0.0034 0.3209 5 23.679 10.000 0.2678 0.0498 0.0000 0.0034 0.3209 7 35.519 15.000 0.2678 0.0498 0.0000 0.0034 0.3209 9 47.358 20.000 0.2678 0.0498 0.0000 0.0034 0.3209 11 59.198 25.000 0.2678 0.0498 0.0000 0.0034 0.3209 13 71.037 30.000 0.2678 0.0498 0.0000 0.0034 0.3209 15 82.877 35.000 0.2678 0.0498 0.0000 0.0034 0.3209 17 94.716 40.000 0.2678 0.0498 0.0000 0.0034 0.3209 19 106.556 45.000 0.2678 0.0498 0.0000 0.0034 0.3209 21 118.396 50.000 0.2678 0.0498 0.0000 0.0034 0.3209 Scattering Coefficients of Individual Components at 615.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0012 0.4797 1.5661 0.0000 2.0470 3 11.840 5.000 0.0012 0.4797 1.5661 0.0000 2.0470 5 23.679 10.000 0.0012 0.4797 1.5661 0.0000 2.0470 7 35.519 15.000 0.0012 0.4797 1.5661 0.0000 2.0470 9 47.358 20.000 0.0012 0.4797 1.5661 0.0000 2.0470 11 59.198 25.000 0.0012 0.4797 1.5661 0.0000 2.0470 13 71.037 30.000 0.0012 0.4797 1.5661 0.0000 2.0470 15 82.877 35.000 0.0012 0.4797 1.5661 0.0000 2.0470 17 94.716 40.000 0.0012 0.4797 1.5661 0.0000 2.0470 19 106.556 45.000 0.0012 0.4797 1.5661 0.0000 2.0470 21 118.396 50.000 0.0012 0.4797 1.5661 0.0000 2.0470 Backscattering Coefficients of Individual Components at 615.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00059 0.00672 0.00276 0.00000 0.01007 3 11.840 5.000 0.00059 0.00672 0.00276 0.00000 0.01007 5 23.679 10.000 0.00059 0.00672 0.00276 0.00000 0.01007 7 35.519 15.000 0.00059 0.00672 0.00276 0.00000 0.01007 9 47.358 20.000 0.00059 0.00672 0.00276 0.00000 0.01007 11 59.198 25.000 0.00059 0.00672 0.00276 0.00000 0.01007 13 71.037 30.000 0.00059 0.00672 0.00276 0.00000 0.01007 15 82.877 35.000 0.00059 0.00672 0.00276 0.00000 0.01007 17 94.716 40.000 0.00059 0.00672 0.00276 0.00000 0.01007 19 106.556 45.000 0.00059 0.00672 0.00276 0.00000 0.01007 21 118.396 50.000 0.00059 0.00672 0.00276 0.00000 0.01007 Summary of Inherent Optical Properties at 615.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3209 2.0470 2.3679 0.8645 0.01007 0.00492 3 11.840 5.000 0.3209 2.0470 2.3679 0.8645 0.01007 0.00492 5 23.679 10.000 0.3209 2.0470 2.3679 0.8645 0.01007 0.00492 7 35.519 15.000 0.3209 2.0470 2.3679 0.8645 0.01007 0.00492 9 47.358 20.000 0.3209 2.0470 2.3679 0.8645 0.01007 0.00492 11 59.198 25.000 0.3209 2.0470 2.3679 0.8645 0.01007 0.00492 13 71.037 30.000 0.3209 2.0470 2.3679 0.8645 0.01007 0.00492 15 82.877 35.000 0.3209 2.0470 2.3679 0.8645 0.01007 0.00492 17 94.716 40.000 0.3209 2.0470 2.3679 0.8645 0.01007 0.00492 19 106.556 45.000 0.3209 2.0470 2.3679 0.8645 0.01007 0.00492 21 118.396 50.000 0.3209 2.0470 2.3679 0.8645 0.01007 0.00492 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4585E-01 8 20.00 8.1321E-01 7 30.00 6.3742E-01 6 40.00 4.5938E-01 5 50.00 3.0809E-01 4 60.00 1.9531E-01 3 70.00 1.1926E-01 2 80.00 7.2035E-02 1 87.50 4.8769E-02 1 92.50 3.6348E-02 2 100.00 2.4992E-02 3 110.00 1.6120E-02 4 120.00 1.0918E-02 5 130.00 7.9016E-03 6 140.00 6.1414E-03 7 150.00 5.1123E-03 8 160.00 4.5241E-03 9 170.00 4.2204E-03 10 180.00 4.1171E-03 Asymptotic AOP values are MUu(inf) = 0.3192 MUd(inf) = 0.7278 MU(inf) = 0.6792 R(inf) = 0.0214 Lu(inf)/Ed(inf) = 0.003055 (1/sr) k(inf) = 0.4726 (1/m) absorp(check) = 0.3210 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 615.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 7.4908E-02 5.9062E-01 6.6553E-01 1.9802E-02 3.3328E-01 0.2644 0.5643 0.4710 5.9417E-02 1 0.00 0.00 1.3828E-02 3.8620E-01 4.0003E-01 5.2582E-03 3.1873E-01 0.3803 0.8253 0.7836 1.6498E-02 3 11.84 5.00 2.2148E-03 4.4938E-02 4.7152E-02 7.1620E-04 3.2830E-02 0.3234 0.7306 0.6811 2.1816E-02 5 23.68 10.00 2.1957E-04 4.2846E-03 4.5042E-03 7.1795E-05 3.1156E-03 0.3270 0.7271 0.6758 2.3044E-02 7 35.52 15.00 2.2712E-05 4.0834E-04 4.3105E-04 7.6827E-06 2.9616E-04 0.3383 0.7253 0.6692 2.5941E-02 9 47.36 20.00 2.6632E-06 3.9620E-05 4.2283E-05 9.6287E-07 2.8566E-05 0.3615 0.7210 0.6528 3.3707E-02 11 59.20 25.00 3.8930E-07 4.0358E-06 4.4251E-06 1.5399E-07 2.8670E-06 0.3955 0.7104 0.6131 5.3710E-02 13 71.04 30.00 7.3530E-08 4.6071E-07 5.3424E-07 3.1366E-08 3.1676E-07 0.4266 0.6875 0.5342 9.9022E-02 15 82.88 35.00 1.6787E-08 6.4878E-08 8.1665E-08 7.4674E-09 4.2282E-08 0.4448 0.6517 0.4263 1.7661E-01 17 94.72 40.00 4.2283E-09 1.1862E-08 1.6090E-08 1.9153E-09 7.3132E-09 0.4530 0.6165 0.3355 2.6190E-01 19 106.56 45.00 1.1105E-09 2.6620E-09 3.7725E-09 5.0654E-10 1.5831E-09 0.4561 0.5947 0.2854 3.1997E-01 21 118.40 50.00 2.9436E-10 6.6654E-10 9.6090E-10 1.3403E-10 3.8980E-10 0.4553 0.5848 0.2662 3.4385E-01 K-functions (units of 1/meter) at 615.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.08297 0.32114 0.31290 0.18130 0.40558 0.40934 0.36239 5.000 5.010 5.005 0.45926 0.46737 0.46699 0.45969 0.46976 0.46999 0.45811 10.000 10.010 10.005 0.46065 0.47081 0.47032 0.45639 0.47125 0.47160 0.44451 15.000 15.010 15.005 0.44432 0.46898 0.46768 0.43454 0.46970 0.47063 0.41058 20.000 20.010 20.005 0.40947 0.46315 0.45977 0.39287 0.46498 0.46750 0.35994 25.000 25.010 25.005 0.35817 0.44831 0.44038 0.34034 0.45275 0.45913 0.31265 30.000 30.010 30.005 0.31102 0.41621 0.40172 0.29931 0.42504 0.43887 0.28409 35.000 35.010 35.005 0.28301 0.36577 0.34875 0.27751 0.37763 0.39911 0.27096 40.000 40.010 40.005 0.27032 0.31603 0.30402 0.26813 0.32554 0.34592 0.26558 45.000 45.010 45.005 0.26529 0.28503 0.27922 0.26455 0.29004 0.30203 0.26392 50.000 50.010 50.005 0.26934 0.27094 0.27045 0.27236 0.27295 0.27326 0.28298 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 615.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.31485E-01 5.11290E-04 2.56874E-03 3.08003E-03 1.53412E-03 0.019536 9 1 10.0 0.0 180.0 1.21721E-01 5.20633E-04 2.40457E-03 2.92520E-03 1.56216E-03 0.019755 9 4 10.0 45.0 135.0 1.23473E-01 5.19642E-04 2.43886E-03 2.95851E-03 1.55918E-03 0.019752 9 7 10.0 90.0 90.0 1.28980E-01 5.21059E-04 2.54055E-03 3.06161E-03 1.56343E-03 0.019697 8 1 20.0 0.0 180.0 1.14239E-01 5.34323E-04 2.29707E-03 2.83139E-03 1.60323E-03 0.020108 8 4 20.0 45.0 135.0 1.16283E-01 5.31090E-04 2.34003E-03 2.87112E-03 1.59353E-03 0.020123 8 7 20.0 90.0 90.0 1.23494E-01 5.34509E-04 2.46772E-03 3.00223E-03 1.60379E-03 0.019983 7 1 30.0 0.0 180.0 1.06732E-01 5.55418E-04 2.27429E-03 2.82971E-03 1.66653E-03 0.021309 7 4 30.0 45.0 135.0 1.08656E-01 5.57628E-04 2.31835E-03 2.87597E-03 1.67316E-03 0.021337 7 7 30.0 90.0 90.0 1.15875E-01 5.59709E-04 2.46441E-03 3.02411E-03 1.67940E-03 0.021268 6 1 40.0 0.0 180.0 9.90955E-02 5.87603E-04 2.45981E-03 3.04741E-03 1.76310E-03 0.024823 6 4 40.0 45.0 135.0 1.00752E-01 5.90063E-04 2.49719E-03 3.08725E-03 1.77048E-03 0.024786 6 7 40.0 90.0 90.0 1.07148E-01 5.94008E-04 2.66440E-03 3.25841E-03 1.78232E-03 0.024866 5 1 50.0 0.0 180.0 9.11969E-02 6.28854E-04 3.15689E-03 3.78574E-03 1.88687E-03 0.034616 5 4 50.0 45.0 135.0 9.25604E-02 6.28428E-04 3.21095E-03 3.83938E-03 1.88560E-03 0.034690 5 7 50.0 90.0 90.0 9.78826E-02 6.33248E-04 3.39874E-03 4.03198E-03 1.90006E-03 0.034723 4 1 60.0 0.0 180.0 8.29898E-02 6.56808E-04 5.15795E-03 5.81476E-03 1.97075E-03 0.062152 4 4 60.0 45.0 135.0 8.40860E-02 6.55378E-04 5.21347E-03 5.86884E-03 1.96646E-03 0.062002 4 7 60.0 90.0 90.0 8.83602E-02 6.67330E-04 5.52199E-03 6.18932E-03 2.00232E-03 0.062494 3 1 70.0 0.0 180.0 7.45113E-02 6.53779E-04 1.02515E-02 1.09053E-02 1.96166E-03 0.137583 3 4 70.0 45.0 135.0 7.53814E-02 6.58627E-04 1.04056E-02 1.10643E-02 1.97621E-03 0.138040 3 7 70.0 90.0 90.0 7.87429E-02 6.68277E-04 1.10525E-02 1.17208E-02 2.00516E-03 0.140362 2 1 80.0 0.0 180.0 6.58642E-02 5.97213E-04 2.09131E-02 2.15103E-02 1.79193E-03 0.317518 2 4 80.0 45.0 135.0 6.65510E-02 5.99749E-04 2.15896E-02 2.21893E-02 1.79954E-03 0.324406 2 7 80.0 90.0 90.0 6.91612E-02 6.05093E-04 2.27608E-02 2.33659E-02 1.81558E-03 0.329098 1 1 87.5 0.0 180.0 5.93641E-02 5.12749E-04 3.47943E-02 3.53070E-02 1.53850E-03 0.586116 1 4 87.5 45.0 135.0 5.99391E-02 4.88812E-04 3.66126E-02 3.71014E-02 1.46668E-03 0.610829 1 7 87.5 90.0 90.0 6.20877E-02 5.42921E-04 3.81088E-02 3.86517E-02 1.62903E-03 0.613790 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 615.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 3.080E-03 1.315E-01 4.734E-02 5.037E-02 5.634E-02 9.242E-03 6.429E+00 5.113E-04 1.534E-03 1 0.00 0.00 9.471E-04 2.319E-01 3.799E-03 4.026E-03 4.229E-03 2.972E-03 5.552E+00 3 11.84 5.00 1.060E-04 2.454E-02 9.804E-04 1.021E-03 1.077E-03 3.229E-03 6.756E+00 5 23.68 10.00 1.101E-05 2.313E-03 9.838E-05 1.003E-04 1.025E-04 3.534E-03 6.521E+00 7 35.52 15.00 1.287E-06 2.186E-04 9.823E-06 9.903E-06 9.986E-06 4.346E-03 5.969E+00 9 47.36 20.00 1.868E-07 2.088E-05 1.042E-06 1.045E-06 1.048E-06 6.538E-03 5.156E+00 11 59.20 25.00 3.497E-08 2.046E-06 1.278E-07 1.280E-07 1.281E-07 1.220E-02 4.404E+00 13 71.04 30.00 7.929E-09 2.135E-07 1.990E-08 1.990E-08 1.991E-08 2.503E-02 3.956E+00 15 82.88 35.00 1.989E-09 2.564E-08 3.971E-09 3.971E-09 3.972E-09 4.703E-02 3.755E+00 17 94.72 40.00 5.211E-10 3.893E-09 9.364E-10 9.364E-10 9.364E-10 7.125E-02 3.676E+00 19 106.56 45.00 1.389E-10 7.634E-10 2.394E-10 2.394E-10 2.394E-10 8.773E-02 3.647E+00 21 118.40 50.00 3.628E-11 1.786E-10 6.326E-11 6.326E-11 6.326E-11 9.308E-02 3.694E+00 Waveband 22 of 30 completed in 23.3 sec. * * * * * Output for wavelength band 23 (620.0 to 630.0 nm; nominal wavelength = 625.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 58.4 m at 625.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 620.0 nm to 630.0 nm: Ed(diffuse) = 3.421E-01 Ed(direct) = 9.764E-01 Ed(total) = 1.319E+00 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 3.296E-01 Ed(direct) = 0.000E+00 Ed(total) = 3.296E-01 Absorption Coefficients of Individual Components at 625.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2834 0.0525 0.0000 0.0029 0.3388 3 11.929 5.000 0.2834 0.0525 0.0000 0.0029 0.3388 5 23.857 10.000 0.2834 0.0525 0.0000 0.0029 0.3388 7 35.786 15.000 0.2834 0.0525 0.0000 0.0029 0.3388 9 47.714 20.000 0.2834 0.0525 0.0000 0.0029 0.3388 11 59.643 25.000 0.2834 0.0525 0.0000 0.0029 0.3388 13 71.572 30.000 0.2834 0.0525 0.0000 0.0029 0.3388 15 83.500 35.000 0.2834 0.0525 0.0000 0.0029 0.3388 17 95.429 40.000 0.2834 0.0525 0.0000 0.0029 0.3388 19 107.357 45.000 0.2834 0.0525 0.0000 0.0029 0.3388 21 119.286 50.000 0.2834 0.0525 0.0000 0.0029 0.3388 Scattering Coefficients of Individual Components at 625.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0011 0.4797 1.5661 0.0000 2.0469 3 11.929 5.000 0.0011 0.4797 1.5661 0.0000 2.0469 5 23.857 10.000 0.0011 0.4797 1.5661 0.0000 2.0469 7 35.786 15.000 0.0011 0.4797 1.5661 0.0000 2.0469 9 47.714 20.000 0.0011 0.4797 1.5661 0.0000 2.0469 11 59.643 25.000 0.0011 0.4797 1.5661 0.0000 2.0469 13 71.572 30.000 0.0011 0.4797 1.5661 0.0000 2.0469 15 83.500 35.000 0.0011 0.4797 1.5661 0.0000 2.0469 17 95.429 40.000 0.0011 0.4797 1.5661 0.0000 2.0469 19 107.357 45.000 0.0011 0.4797 1.5661 0.0000 2.0469 21 119.286 50.000 0.0011 0.4797 1.5661 0.0000 2.0469 Backscattering Coefficients of Individual Components at 625.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00055 0.00672 0.00276 0.00000 0.01003 3 11.929 5.000 0.00055 0.00672 0.00276 0.00000 0.01003 5 23.857 10.000 0.00055 0.00672 0.00276 0.00000 0.01003 7 35.786 15.000 0.00055 0.00672 0.00276 0.00000 0.01003 9 47.714 20.000 0.00055 0.00672 0.00276 0.00000 0.01003 11 59.643 25.000 0.00055 0.00672 0.00276 0.00000 0.01003 13 71.572 30.000 0.00055 0.00672 0.00276 0.00000 0.01003 15 83.500 35.000 0.00055 0.00672 0.00276 0.00000 0.01003 17 95.429 40.000 0.00055 0.00672 0.00276 0.00000 0.01003 19 107.357 45.000 0.00055 0.00672 0.00276 0.00000 0.01003 21 119.286 50.000 0.00055 0.00672 0.00276 0.00000 0.01003 Summary of Inherent Optical Properties at 625.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3388 2.0469 2.3857 0.8580 0.01003 0.00490 3 11.929 5.000 0.3388 2.0469 2.3857 0.8580 0.01003 0.00490 5 23.857 10.000 0.3388 2.0469 2.3857 0.8580 0.01003 0.00490 7 35.786 15.000 0.3388 2.0469 2.3857 0.8580 0.01003 0.00490 9 47.714 20.000 0.3388 2.0469 2.3857 0.8580 0.01003 0.00490 11 59.643 25.000 0.3388 2.0469 2.3857 0.8580 0.01003 0.00490 13 71.572 30.000 0.3388 2.0469 2.3857 0.8580 0.01003 0.00490 15 83.500 35.000 0.3388 2.0469 2.3857 0.8580 0.01003 0.00490 17 95.429 40.000 0.3388 2.0469 2.3857 0.8580 0.01003 0.00490 19 107.357 45.000 0.3388 2.0469 2.3857 0.8580 0.01003 0.00490 21 119.286 50.000 0.3388 2.0469 2.3857 0.8580 0.01003 0.00490 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4429E-01 8 20.00 8.0826E-01 7 30.00 6.2908E-01 6 40.00 4.4919E-01 5 50.00 2.9800E-01 4 60.00 1.8670E-01 3 70.00 1.1265E-01 2 80.00 6.7277E-02 1 87.50 4.5205E-02 1 92.50 3.3535E-02 2 100.00 2.2934E-02 3 110.00 1.4717E-02 4 120.00 9.9389E-03 5 130.00 7.1869E-03 6 140.00 5.5899E-03 7 150.00 4.6601E-03 8 160.00 4.1301E-03 9 170.00 3.8570E-03 10 180.00 3.7642E-03 Asymptotic AOP values are MUu(inf) = 0.3181 MUd(inf) = 0.7323 MU(inf) = 0.6864 R(inf) = 0.0199 Lu(inf)/Ed(inf) = 0.002844 (1/sr) k(inf) = 0.4937 (1/m) absorp(check) = 0.3388 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 625.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 7.3819E-02 5.8416E-01 6.5798E-01 1.9452E-02 3.2963E-01 0.2635 0.5643 0.4714 5.9012E-02 1 0.00 0.00 1.2821E-02 3.8125E-01 3.9408E-01 4.8510E-03 3.1502E-01 0.3784 0.8263 0.7871 1.5399E-02 3 11.93 5.00 1.8357E-03 3.9611E-02 4.1447E-02 5.9159E-04 2.9093E-02 0.3223 0.7345 0.6877 2.0334E-02 5 23.86 10.00 1.6477E-04 3.3947E-03 3.5595E-03 5.3932E-05 2.4830E-03 0.3273 0.7314 0.6824 2.1720E-02 7 35.79 15.00 1.5856E-05 2.9185E-04 3.0770E-04 5.4364E-06 2.1279E-04 0.3429 0.7291 0.6739 2.5548E-02 9 47.71 20.00 1.8409E-06 2.5779E-05 2.7620E-05 6.8918E-07 1.8636E-05 0.3744 0.7229 0.6498 3.6982E-02 11 59.64 25.00 2.8895E-07 2.4622E-06 2.7512E-06 1.1956E-07 1.7390E-06 0.4138 0.7063 0.5886 6.8752E-02 13 71.57 30.00 6.0301E-08 2.8305E-07 3.4335E-07 2.6619E-08 1.9014E-07 0.4414 0.6718 0.4763 1.4000E-01 15 83.50 35.00 1.4809E-08 4.4056E-08 5.8864E-08 6.7226E-09 2.7645E-08 0.4540 0.6275 0.3554 2.4318E-01 17 95.43 40.00 3.8912E-09 9.1740E-09 1.3065E-08 1.7844E-09 5.4674E-09 0.4586 0.5960 0.2819 3.2636E-01 19 107.36 45.00 1.0485E-09 2.2589E-09 3.3074E-09 4.8247E-10 1.3141E-09 0.4601 0.5817 0.2514 3.6715E-01 21 119.29 50.00 2.8503E-10 5.9521E-10 8.8024E-10 1.3127E-10 3.4312E-10 0.4605 0.5765 0.2407 3.8257E-01 K-functions (units of 1/meter) at 625.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.09209 0.34115 0.33303 0.19728 0.42672 0.43032 0.38273 5.000 5.010 5.005 0.48078 0.48914 0.48877 0.48064 0.49123 0.49145 0.47766 10.000 10.010 10.005 0.47859 0.49181 0.49120 0.47290 0.49226 0.49269 0.45737 15.000 15.010 15.005 0.45394 0.48903 0.48722 0.44051 0.49001 0.49130 0.40953 20.000 20.010 20.005 0.40284 0.48003 0.47488 0.38215 0.48280 0.48666 0.34544 25.000 25.010 25.005 0.33845 0.45567 0.44335 0.32107 0.46271 0.47318 0.29712 30.000 30.010 30.005 0.29289 0.40489 0.38521 0.28425 0.41770 0.43944 0.27390 35.000 35.010 35.005 0.27193 0.33954 0.32253 0.26865 0.35255 0.37953 0.26491 40.000 40.010 40.005 0.26398 0.29276 0.28419 0.26285 0.30008 0.31812 0.26154 45.000 45.010 45.005 0.26109 0.27148 0.26819 0.26067 0.27439 0.28235 0.26021 50.000 50.010 50.005 0.26041 0.26339 0.26243 0.26059 0.26440 0.26676 0.26176 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 625.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.30047E-01 4.70415E-04 2.54064E-03 3.01105E-03 1.42709E-03 0.019536 9 1 10.0 0.0 180.0 1.20390E-01 4.78958E-04 2.37826E-03 2.85722E-03 1.45301E-03 0.019755 9 4 10.0 45.0 135.0 1.22123E-01 4.78032E-04 2.41218E-03 2.89022E-03 1.45020E-03 0.019752 9 7 10.0 90.0 90.0 1.27569E-01 4.79303E-04 2.51276E-03 2.99206E-03 1.45405E-03 0.019697 8 1 20.0 0.0 180.0 1.12989E-01 4.91384E-04 2.27194E-03 2.76333E-03 1.49070E-03 0.020108 8 4 20.0 45.0 135.0 1.15011E-01 4.88390E-04 2.31443E-03 2.80282E-03 1.48162E-03 0.020123 8 7 20.0 90.0 90.0 1.22143E-01 4.91482E-04 2.44073E-03 2.93221E-03 1.49100E-03 0.019983 7 1 30.0 0.0 180.0 1.05564E-01 5.10573E-04 2.24941E-03 2.75998E-03 1.54892E-03 0.021309 7 4 30.0 45.0 135.0 1.07467E-01 5.12575E-04 2.29299E-03 2.80556E-03 1.55499E-03 0.021337 7 7 30.0 90.0 90.0 1.14607E-01 5.14417E-04 2.43745E-03 2.95186E-03 1.56058E-03 0.021268 6 1 40.0 0.0 180.0 9.80114E-02 5.39839E-04 2.43290E-03 2.97274E-03 1.63770E-03 0.024823 6 4 40.0 45.0 135.0 9.96494E-02 5.42061E-04 2.46987E-03 3.01193E-03 1.64444E-03 0.024786 6 7 40.0 90.0 90.0 1.05976E-01 5.45595E-04 2.63525E-03 3.18085E-03 1.65516E-03 0.024866 5 1 50.0 0.0 180.0 9.01993E-02 5.77559E-04 3.12235E-03 3.69991E-03 1.75213E-03 0.034616 5 4 50.0 45.0 135.0 9.15479E-02 5.77125E-04 3.17583E-03 3.75295E-03 1.75081E-03 0.034690 5 7 50.0 90.0 90.0 9.68118E-02 5.81451E-04 3.36156E-03 3.94301E-03 1.76394E-03 0.034723 4 1 60.0 0.0 180.0 8.20819E-02 6.03157E-04 5.10153E-03 5.70468E-03 1.82979E-03 0.062152 4 4 60.0 45.0 135.0 8.31662E-02 6.01797E-04 5.15643E-03 5.75823E-03 1.82566E-03 0.062002 4 7 60.0 90.0 90.0 8.73936E-02 6.12669E-04 5.46158E-03 6.07425E-03 1.85864E-03 0.062494 3 1 70.0 0.0 180.0 7.36962E-02 6.00571E-04 1.01393E-02 1.07399E-02 1.82194E-03 0.137583 3 4 70.0 45.0 135.0 7.45568E-02 6.04981E-04 1.02918E-02 1.08968E-02 1.83532E-03 0.138040 3 7 70.0 90.0 90.0 7.78815E-02 6.13754E-04 1.09316E-02 1.15454E-02 1.86194E-03 0.140362 2 1 80.0 0.0 180.0 6.51437E-02 5.48917E-04 2.06843E-02 2.12332E-02 1.66524E-03 0.317518 2 4 80.0 45.0 135.0 6.58229E-02 5.51213E-04 2.13534E-02 2.19046E-02 1.67221E-03 0.324406 2 7 80.0 90.0 90.0 6.84046E-02 5.56046E-04 2.25119E-02 2.30679E-02 1.68687E-03 0.329098 1 1 87.5 0.0 180.0 5.87147E-02 4.71741E-04 3.44136E-02 3.48854E-02 1.43111E-03 0.586116 1 4 87.5 45.0 135.0 5.92834E-02 4.49689E-04 3.62120E-02 3.66617E-02 1.36421E-03 0.610829 1 7 87.5 90.0 90.0 6.14085E-02 4.99419E-04 3.76919E-02 3.81913E-02 1.51508E-03 0.613790 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 625.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 3.011E-03 1.300E-01 4.680E-02 4.980E-02 5.571E-02 9.135E-03 6.460E+00 4.704E-04 1.427E-03 1 0.00 0.00 8.715E-04 2.293E-01 3.554E-03 3.770E-03 3.962E-03 2.766E-03 5.567E+00 3 11.93 5.00 8.779E-05 2.205E-02 8.213E-04 8.553E-04 9.021E-04 3.017E-03 6.739E+00 5 23.86 10.00 8.386E-06 1.875E-03 7.417E-05 7.562E-05 7.725E-05 3.378E-03 6.431E+00 7 35.79 15.00 9.492E-07 1.598E-04 6.764E-06 6.817E-06 6.872E-06 4.461E-03 5.727E+00 9 47.71 20.00 1.437E-07 1.380E-05 6.803E-07 6.822E-07 6.841E-07 7.712E-03 4.795E+00 11 59.64 25.00 2.915E-08 1.239E-06 8.558E-08 8.565E-08 8.571E-08 1.676E-02 4.101E+00 13 71.57 30.00 7.053E-09 1.237E-07 1.474E-08 1.474E-08 1.474E-08 3.709E-02 3.774E+00 15 83.50 35.00 1.841E-09 1.552E-08 3.273E-09 3.273E-09 3.273E-09 6.658E-02 3.653E+00 17 95.43 40.00 4.942E-10 2.677E-09 8.270E-10 8.270E-10 8.270E-10 9.039E-02 3.611E+00 19 107.36 45.00 1.342E-10 5.975E-10 2.198E-10 2.198E-10 2.198E-10 1.021E-01 3.596E+00 21 119.29 50.00 3.650E-11 1.515E-10 5.951E-11 5.951E-11 5.951E-11 1.064E-01 3.596E+00 Waveband 23 of 30 completed in 23.4 sec. * * * * * Output for wavelength band 24 (630.0 to 640.0 nm; nominal wavelength = 635.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 58.4 m at 635.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 630.0 nm to 640.0 nm: Ed(diffuse) = 3.354E-01 Ed(direct) = 9.668E-01 Ed(total) = 1.302E+00 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 3.256E-01 Ed(direct) = 0.000E+00 Ed(total) = 3.256E-01 Absorption Coefficients of Individual Components at 635.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3012 0.0552 0.0000 0.0025 0.3590 3 12.029 5.000 0.3012 0.0552 0.0000 0.0025 0.3590 5 24.058 10.000 0.3012 0.0552 0.0000 0.0025 0.3590 7 36.087 15.000 0.3012 0.0552 0.0000 0.0025 0.3590 9 48.116 20.000 0.3012 0.0552 0.0000 0.0025 0.3590 11 60.145 25.000 0.3012 0.0552 0.0000 0.0025 0.3590 13 72.174 30.000 0.3012 0.0552 0.0000 0.0025 0.3590 15 84.203 35.000 0.3012 0.0552 0.0000 0.0025 0.3590 17 96.232 40.000 0.3012 0.0552 0.0000 0.0025 0.3590 19 108.261 45.000 0.3012 0.0552 0.0000 0.0025 0.3590 21 120.290 50.000 0.3012 0.0552 0.0000 0.0025 0.3590 Scattering Coefficients of Individual Components at 635.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0010 0.4797 1.5661 0.0000 2.0468 3 12.029 5.000 0.0010 0.4797 1.5661 0.0000 2.0468 5 24.058 10.000 0.0010 0.4797 1.5661 0.0000 2.0468 7 36.087 15.000 0.0010 0.4797 1.5661 0.0000 2.0468 9 48.116 20.000 0.0010 0.4797 1.5661 0.0000 2.0468 11 60.145 25.000 0.0010 0.4797 1.5661 0.0000 2.0468 13 72.174 30.000 0.0010 0.4797 1.5661 0.0000 2.0468 15 84.203 35.000 0.0010 0.4797 1.5661 0.0000 2.0468 17 96.232 40.000 0.0010 0.4797 1.5661 0.0000 2.0468 19 108.261 45.000 0.0010 0.4797 1.5661 0.0000 2.0468 21 120.290 50.000 0.0010 0.4797 1.5661 0.0000 2.0468 Backscattering Coefficients of Individual Components at 635.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00051 0.00672 0.00276 0.00000 0.01000 3 12.029 5.000 0.00051 0.00672 0.00276 0.00000 0.01000 5 24.058 10.000 0.00051 0.00672 0.00276 0.00000 0.01000 7 36.087 15.000 0.00051 0.00672 0.00276 0.00000 0.01000 9 48.116 20.000 0.00051 0.00672 0.00276 0.00000 0.01000 11 60.145 25.000 0.00051 0.00672 0.00276 0.00000 0.01000 13 72.174 30.000 0.00051 0.00672 0.00276 0.00000 0.01000 15 84.203 35.000 0.00051 0.00672 0.00276 0.00000 0.01000 17 96.232 40.000 0.00051 0.00672 0.00276 0.00000 0.01000 19 108.261 45.000 0.00051 0.00672 0.00276 0.00000 0.01000 21 120.290 50.000 0.00051 0.00672 0.00276 0.00000 0.01000 Summary of Inherent Optical Properties at 635.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3590 2.0468 2.4058 0.8508 0.01000 0.00488 3 12.029 5.000 0.3590 2.0468 2.4058 0.8508 0.01000 0.00488 5 24.058 10.000 0.3590 2.0468 2.4058 0.8508 0.01000 0.00488 7 36.087 15.000 0.3590 2.0468 2.4058 0.8508 0.01000 0.00488 9 48.116 20.000 0.3590 2.0468 2.4058 0.8508 0.01000 0.00488 11 60.145 25.000 0.3590 2.0468 2.4058 0.8508 0.01000 0.00488 13 72.174 30.000 0.3590 2.0468 2.4058 0.8508 0.01000 0.00488 15 84.203 35.000 0.3590 2.0468 2.4058 0.8508 0.01000 0.00488 17 96.232 40.000 0.3590 2.0468 2.4058 0.8508 0.01000 0.00488 19 108.261 45.000 0.3590 2.0468 2.4058 0.8508 0.01000 0.00488 21 120.290 50.000 0.3590 2.0468 2.4058 0.8508 0.01000 0.00488 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4258E-01 8 20.00 8.0283E-01 7 30.00 6.2003E-01 6 40.00 4.3826E-01 5 50.00 2.8731E-01 4 60.00 1.7770E-01 3 70.00 1.0584E-01 2 80.00 6.2451E-02 1 87.50 4.1626E-02 1 92.50 3.0731E-02 2 100.00 2.0901E-02 3 110.00 1.3342E-02 4 120.00 8.9865E-03 5 130.00 6.4952E-03 6 140.00 5.0574E-03 7 150.00 4.2238E-03 8 160.00 3.7499E-03 9 170.00 3.5064E-03 10 180.00 3.4236E-03 Asymptotic AOP values are MUu(inf) = 0.3170 MUd(inf) = 0.7371 MU(inf) = 0.6940 R(inf) = 0.0184 Lu(inf)/Ed(inf) = 0.002638 (1/sr) k(inf) = 0.5173 (1/m) absorp(check) = 0.3590 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 635.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 7.2649E-02 5.7695E-01 6.4960E-01 1.9084E-02 3.2556E-01 0.2627 0.5643 0.4718 5.8619E-02 1 0.00 0.00 1.1830E-02 3.7585E-01 3.8768E-01 4.4530E-03 3.1092E-01 0.3764 0.8273 0.7905 1.4322E-02 3 12.03 5.00 1.4934E-03 3.4392E-02 3.5886E-02 4.8001E-04 2.5404E-02 0.3214 0.7387 0.6945 1.8895E-02 5 24.06 10.00 1.2059E-04 2.6164E-03 2.7370E-03 3.9663E-05 1.9255E-03 0.3289 0.7359 0.6890 2.0598E-02 7 36.09 15.00 1.0975E-05 2.0082E-04 2.1179E-04 3.8619E-06 1.4714E-04 0.3519 0.7327 0.6765 2.6246E-02 9 48.12 20.00 1.3422E-06 1.6137E-05 1.7479E-05 5.2965E-07 1.1658E-05 0.3946 0.7224 0.6367 4.5431E-02 11 60.14 25.00 2.4331E-07 1.4939E-06 1.7372E-06 1.0581E-07 1.0366E-06 0.4349 0.6939 0.5358 1.0208E-01 13 72.17 30.00 5.7830E-08 1.8961E-07 2.4744E-07 2.6293E-08 1.2194E-07 0.4547 0.6431 0.3865 2.1562E-01 15 84.20 35.00 1.5383E-08 3.5741E-08 5.1124E-08 7.0975E-09 2.1388E-08 0.4614 0.5984 0.2795 3.3184E-01 17 96.23 40.00 4.2483E-09 8.6907E-09 1.2939E-08 1.9688E-09 5.0213E-09 0.4634 0.5778 0.2359 3.9208E-01 19 108.26 45.00 1.1880E-09 2.3370E-09 3.5250E-09 5.5134E-10 1.3344E-09 0.4641 0.5710 0.2222 4.1316E-01 21 120.29 50.00 3.3377E-10 6.4912E-10 9.8288E-10 1.5495E-10 3.6934E-10 0.4642 0.5690 0.2181 4.1953E-01 K-functions (units of 1/meter) at 635.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.10368 0.36393 0.35598 0.21595 0.45056 0.45397 0.40569 5.000 5.010 5.005 0.50448 0.51349 0.51312 0.50351 0.51528 0.51551 0.49845 10.000 10.010 10.005 0.49641 0.51520 0.51437 0.48818 0.51571 0.51629 0.46652 15.000 15.010 15.005 0.45609 0.51063 0.50781 0.43683 0.51211 0.51414 0.39646 20.000 20.010 20.005 0.38013 0.49482 0.48601 0.35629 0.49957 0.50639 0.31984 25.000 25.010 25.005 0.30803 0.45053 0.43056 0.29421 0.46252 0.48167 0.27731 30.000 30.010 30.005 0.27225 0.37151 0.34830 0.26726 0.38831 0.42162 0.26164 35.000 35.010 35.005 0.25974 0.30172 0.28909 0.25822 0.31245 0.33939 0.25649 40.000 40.010 40.005 0.25567 0.26916 0.26473 0.25522 0.27317 0.28475 0.25465 45.000 45.010 45.005 0.25422 0.25823 0.25688 0.25407 0.25945 0.26324 0.25385 50.000 50.010 50.005 0.25384 0.25480 0.25448 0.25394 0.25517 0.25605 0.25468 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 635.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.28441E-01 4.30919E-04 2.50926E-03 2.94018E-03 1.32361E-03 0.019536 9 1 10.0 0.0 180.0 1.18903E-01 4.38685E-04 2.34889E-03 2.78758E-03 1.34747E-03 0.019755 9 4 10.0 45.0 135.0 1.20615E-01 4.37824E-04 2.38240E-03 2.82022E-03 1.34482E-03 0.019752 9 7 10.0 90.0 90.0 1.25994E-01 4.38955E-04 2.48173E-03 2.92068E-03 1.34830E-03 0.019697 8 1 20.0 0.0 180.0 1.11594E-01 4.49886E-04 2.24389E-03 2.69377E-03 1.38188E-03 0.020108 8 4 20.0 45.0 135.0 1.13591E-01 4.47123E-04 2.28585E-03 2.73297E-03 1.37339E-03 0.020123 8 7 20.0 90.0 90.0 1.20635E-01 4.49901E-04 2.41059E-03 2.86049E-03 1.38192E-03 0.019983 7 1 30.0 0.0 180.0 1.04260E-01 4.67221E-04 2.22164E-03 2.68886E-03 1.43512E-03 0.021309 7 4 30.0 45.0 135.0 1.06140E-01 4.69023E-04 2.26467E-03 2.73369E-03 1.44066E-03 0.021337 7 7 30.0 90.0 90.0 1.13192E-01 4.70636E-04 2.40735E-03 2.87798E-03 1.44561E-03 0.021268 6 1 40.0 0.0 180.0 9.68012E-02 4.93638E-04 2.40286E-03 2.89650E-03 1.51627E-03 0.024823 6 4 40.0 45.0 135.0 9.84189E-02 4.95630E-04 2.43937E-03 2.93500E-03 1.52238E-03 0.024786 6 7 40.0 90.0 90.0 1.04668E-01 4.98767E-04 2.60271E-03 3.10148E-03 1.53202E-03 0.024866 5 1 50.0 0.0 180.0 8.90855E-02 5.27891E-04 3.08380E-03 3.61169E-03 1.62148E-03 0.034616 5 4 50.0 45.0 135.0 9.04174E-02 5.27448E-04 3.13661E-03 3.66406E-03 1.62011E-03 0.034690 5 7 50.0 90.0 90.0 9.56164E-02 5.31296E-04 3.32005E-03 3.85134E-03 1.63193E-03 0.034723 4 1 60.0 0.0 180.0 8.10684E-02 5.51141E-04 5.03853E-03 5.58967E-03 1.69289E-03 0.062152 4 4 60.0 45.0 135.0 8.21392E-02 5.49850E-04 5.09276E-03 5.64261E-03 1.68893E-03 0.062002 4 7 60.0 90.0 90.0 8.63144E-02 5.59672E-04 5.39414E-03 5.95381E-03 1.71909E-03 0.062494 3 1 70.0 0.0 180.0 7.27862E-02 5.48883E-04 1.00141E-02 1.05630E-02 1.68596E-03 0.137583 3 4 70.0 45.0 135.0 7.36362E-02 5.52867E-04 1.01647E-02 1.07176E-02 1.69819E-03 0.138040 3 7 70.0 90.0 90.0 7.69198E-02 5.60782E-04 1.07966E-02 1.13574E-02 1.72250E-03 0.140362 2 1 80.0 0.0 180.0 6.43393E-02 5.01906E-04 2.04289E-02 2.09308E-02 1.54166E-03 0.317518 2 4 80.0 45.0 135.0 6.50101E-02 5.03968E-04 2.10897E-02 2.15937E-02 1.54799E-03 0.324406 2 7 80.0 90.0 90.0 6.75600E-02 5.08296E-04 2.22339E-02 2.27422E-02 1.56129E-03 0.329098 1 1 87.5 0.0 180.0 5.79897E-02 4.31729E-04 3.39887E-02 3.44204E-02 1.32610E-03 0.586116 1 4 87.5 45.0 135.0 5.85514E-02 4.11516E-04 3.57649E-02 3.61764E-02 1.26402E-03 0.610829 1 7 87.5 90.0 90.0 6.06502E-02 4.56966E-04 3.72265E-02 3.76835E-02 1.40362E-03 0.613790 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 635.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 2.940E-03 1.284E-01 4.621E-02 4.917E-02 5.500E-02 9.031E-03 6.491E+00 4.309E-04 1.324E-03 1 0.00 0.00 7.983E-04 2.265E-01 3.312E-03 3.515E-03 3.696E-03 2.568E-03 5.578E+00 3 12.03 5.00 7.162E-05 1.954E-02 6.748E-04 7.027E-04 7.411E-04 2.819E-03 6.703E+00 5 24.06 10.00 6.319E-06 1.481E-03 5.429E-05 5.533E-05 5.651E-05 3.281E-03 6.277E+00 7 36.09 15.00 7.206E-07 1.124E-04 4.527E-06 4.561E-06 4.596E-06 4.898E-03 5.359E+00 9 48.12 20.00 1.213E-07 8.709E-06 4.482E-07 4.493E-07 4.503E-07 1.041E-02 4.366E+00 11 60.14 25.00 2.768E-08 7.236E-07 6.291E-08 6.295E-08 6.298E-08 2.670E-02 3.823E+00 13 72.17 30.00 7.245E-09 7.321E-08 1.281E-08 1.281E-08 1.281E-08 5.941E-02 3.629E+00 15 84.20 35.00 1.988E-09 1.072E-08 3.216E-09 3.216E-09 3.216E-09 9.296E-02 3.570E+00 17 96.23 40.00 5.544E-10 2.260E-09 8.722E-10 8.722E-10 8.722E-10 1.104E-01 3.551E+00 19 108.26 45.00 1.555E-10 5.771E-10 2.425E-10 2.425E-10 2.425E-10 1.166E-01 3.545E+00 21 120.29 50.00 4.370E-11 1.578E-10 6.804E-11 6.804E-11 6.804E-11 1.183E-01 3.546E+00 Waveband 24 of 30 completed in 23.8 sec. * * * * * Output for wavelength band 25 (640.0 to 650.0 nm; nominal wavelength = 645.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 58.2 m at 645.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 640.0 nm to 650.0 nm: Ed(diffuse) = 3.226E-01 Ed(direct) = 9.388E-01 Ed(total) = 1.261E+00 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 3.154E-01 Ed(direct) = 0.000E+00 Ed(total) = 3.154E-01 Absorption Coefficients of Individual Components at 645.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3250 0.0550 0.0000 0.0022 0.3822 3 12.145 5.000 0.3250 0.0550 0.0000 0.0022 0.3822 5 24.290 10.000 0.3250 0.0550 0.0000 0.0022 0.3822 7 36.435 15.000 0.3250 0.0550 0.0000 0.0022 0.3822 9 48.580 20.000 0.3250 0.0550 0.0000 0.0022 0.3822 11 60.725 25.000 0.3250 0.0550 0.0000 0.0022 0.3822 13 72.870 30.000 0.3250 0.0550 0.0000 0.0022 0.3822 15 85.015 35.000 0.3250 0.0550 0.0000 0.0022 0.3822 17 97.160 40.000 0.3250 0.0550 0.0000 0.0022 0.3822 19 109.304 45.000 0.3250 0.0550 0.0000 0.0022 0.3822 21 121.449 50.000 0.3250 0.0550 0.0000 0.0022 0.3822 Scattering Coefficients of Individual Components at 645.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0010 0.4797 1.5661 0.0000 2.0467 3 12.145 5.000 0.0010 0.4797 1.5661 0.0000 2.0467 5 24.290 10.000 0.0010 0.4797 1.5661 0.0000 2.0467 7 36.435 15.000 0.0010 0.4797 1.5661 0.0000 2.0467 9 48.580 20.000 0.0010 0.4797 1.5661 0.0000 2.0467 11 60.725 25.000 0.0010 0.4797 1.5661 0.0000 2.0467 13 72.870 30.000 0.0010 0.4797 1.5661 0.0000 2.0467 15 85.015 35.000 0.0010 0.4797 1.5661 0.0000 2.0467 17 97.160 40.000 0.0010 0.4797 1.5661 0.0000 2.0467 19 109.304 45.000 0.0010 0.4797 1.5661 0.0000 2.0467 21 121.449 50.000 0.0010 0.4797 1.5661 0.0000 2.0467 Backscattering Coefficients of Individual Components at 645.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00048 0.00672 0.00276 0.00000 0.00996 3 12.145 5.000 0.00048 0.00672 0.00276 0.00000 0.00996 5 24.290 10.000 0.00048 0.00672 0.00276 0.00000 0.00996 7 36.435 15.000 0.00048 0.00672 0.00276 0.00000 0.00996 9 48.580 20.000 0.00048 0.00672 0.00276 0.00000 0.00996 11 60.725 25.000 0.00048 0.00672 0.00276 0.00000 0.00996 13 72.870 30.000 0.00048 0.00672 0.00276 0.00000 0.00996 15 85.015 35.000 0.00048 0.00672 0.00276 0.00000 0.00996 17 97.160 40.000 0.00048 0.00672 0.00276 0.00000 0.00996 19 109.304 45.000 0.00048 0.00672 0.00276 0.00000 0.00996 21 121.449 50.000 0.00048 0.00672 0.00276 0.00000 0.00996 Summary of Inherent Optical Properties at 645.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3822 2.0467 2.4290 0.8426 0.00996 0.00487 3 12.145 5.000 0.3822 2.0467 2.4290 0.8426 0.00996 0.00487 5 24.290 10.000 0.3822 2.0467 2.4290 0.8426 0.00996 0.00487 7 36.435 15.000 0.3822 2.0467 2.4290 0.8426 0.00996 0.00487 9 48.580 20.000 0.3822 2.0467 2.4290 0.8426 0.00996 0.00487 11 60.725 25.000 0.3822 2.0467 2.4290 0.8426 0.00996 0.00487 13 72.870 30.000 0.3822 2.0467 2.4290 0.8426 0.00996 0.00487 15 85.015 35.000 0.3822 2.0467 2.4290 0.8426 0.00996 0.00487 17 97.160 40.000 0.3822 2.0467 2.4290 0.8426 0.00996 0.00487 19 109.304 45.000 0.3822 2.0467 2.4290 0.8426 0.00996 0.00487 21 121.449 50.000 0.3822 2.0467 2.4290 0.8426 0.00996 0.00487 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4065E-01 8 20.00 7.9677E-01 7 30.00 6.0999E-01 6 40.00 4.2628E-01 5 50.00 2.7577E-01 4 60.00 1.6814E-01 3 70.00 9.8722E-02 2 80.00 5.7484E-02 1 87.50 3.7984E-02 1 92.50 2.7900E-02 2 100.00 1.8867E-02 3 110.00 1.1980E-02 4 120.00 8.0491E-03 5 130.00 5.8173E-03 6 140.00 4.5367E-03 7 150.00 3.7973E-03 8 160.00 3.3783E-03 9 170.00 3.1633E-03 10 180.00 3.0904E-03 Asymptotic AOP values are MUu(inf) = 0.3161 MUd(inf) = 0.7423 MU(inf) = 0.7020 R(inf) = 0.0169 Lu(inf)/Ed(inf) = 0.002434 (1/sr) k(inf) = 0.5445 (1/m) absorp(check) = 0.3823 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 645.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 7.0127E-02 5.5887E-01 6.2900E-01 1.8365E-02 3.1536E-01 0.2619 0.5643 0.4722 5.8234E-02 1 0.00 0.00 1.0655E-02 3.6339E-01 3.7405E-01 3.9896E-03 3.0098E-01 0.3744 0.8283 0.7940 1.3255E-02 3 12.14 5.00 1.1643E-03 2.8740E-02 2.9905E-02 3.7378E-04 2.1360E-02 0.3210 0.7432 0.7018 1.7499E-02 5 24.29 10.00 8.4114E-05 1.9081E-03 1.9922E-03 2.7975E-05 1.4133E-03 0.3326 0.7407 0.6954 1.9794E-02 7 36.43 15.00 7.4867E-06 1.2907E-04 1.3655E-04 2.7506E-06 9.4949E-05 0.3674 0.7357 0.6752 2.8969E-02 9 48.58 20.00 1.0430E-06 9.5053E-06 1.0548E-05 4.3767E-07 6.8171E-06 0.4196 0.7172 0.6048 6.4202E-02 11 60.72 25.00 2.2517E-07 9.1408E-07 1.1392E-06 1.0186E-07 6.1110E-07 0.4524 0.6685 0.4470 1.6668E-01 13 72.87 30.00 5.9630E-08 1.4260E-07 2.0223E-07 2.7627E-08 8.6640E-08 0.4633 0.6076 0.2918 3.1888E-01 15 85.01 35.00 1.6812E-08 3.3042E-08 4.9854E-08 7.8384E-09 1.9019E-08 0.4662 0.5756 0.2243 4.1213E-01 17 97.16 40.00 4.8257E-09 8.9894E-09 1.3815E-08 2.2538E-09 5.0868E-09 0.4670 0.5659 0.2051 4.4306E-01 19 109.30 45.00 1.3937E-09 2.5606E-09 3.9543E-09 6.5129E-10 1.4426E-09 0.4673 0.5634 0.2001 4.5147E-01 21 121.45 50.00 4.0380E-10 7.3877E-10 1.1426E-09 1.8876E-10 4.1573E-10 0.4675 0.5627 0.1987 4.5404E-01 K-functions (units of 1/meter) at 645.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.11850 0.39051 0.38276 0.23831 0.47810 0.48133 0.43217 5.000 5.010 5.005 0.53098 0.54140 0.54100 0.52874 0.54288 0.54313 0.52048 10.000 10.010 10.005 0.51277 0.54179 0.54056 0.50021 0.54245 0.54330 0.46908 15.000 15.010 15.005 0.44537 0.53374 0.52889 0.41880 0.53624 0.53975 0.37041 20.000 20.010 20.005 0.34340 0.50355 0.48770 0.32100 0.51230 0.52543 0.29173 25.000 25.010 25.005 0.27897 0.42373 0.39510 0.27051 0.44271 0.47719 0.26104 30.000 30.010 30.005 0.25694 0.32333 0.30375 0.25464 0.33950 0.37925 0.25212 35.000 35.010 35.005 0.25075 0.27030 0.26370 0.25015 0.27635 0.29472 0.24944 40.000 40.010 40.005 0.24884 0.25384 0.25210 0.24866 0.25546 0.26087 0.24840 45.000 45.010 45.005 0.24804 0.24939 0.24891 0.24797 0.24980 0.25132 0.24784 50.000 50.010 50.005 0.24743 0.24803 0.24782 0.24735 0.24816 0.24883 0.24768 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 645.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.24416E-01 3.85630E-04 2.43064E-03 2.81627E-03 1.22282E-03 0.019536 9 1 10.0 0.0 180.0 1.15178E-01 3.92516E-04 2.27530E-03 2.66781E-03 1.24466E-03 0.019755 9 4 10.0 45.0 135.0 1.16836E-01 3.91731E-04 2.30775E-03 2.69948E-03 1.24217E-03 0.019752 9 7 10.0 90.0 90.0 1.22046E-01 3.92709E-04 2.40397E-03 2.79668E-03 1.24527E-03 0.019697 8 1 20.0 0.0 180.0 1.08097E-01 4.02343E-04 2.17358E-03 2.57592E-03 1.27581E-03 0.020108 8 4 20.0 45.0 135.0 1.10032E-01 3.99849E-04 2.21423E-03 2.61408E-03 1.26791E-03 0.020123 8 7 20.0 90.0 90.0 1.16855E-01 4.02279E-04 2.33506E-03 2.73734E-03 1.27561E-03 0.019983 7 1 30.0 0.0 180.0 1.00994E-01 4.17590E-04 2.15203E-03 2.56962E-03 1.32416E-03 0.021309 7 4 30.0 45.0 135.0 1.02815E-01 4.19170E-04 2.19371E-03 2.61288E-03 1.32917E-03 0.021337 7 7 30.0 90.0 90.0 1.09646E-01 4.20536E-04 2.33192E-03 2.75246E-03 1.33351E-03 0.021268 6 1 40.0 0.0 180.0 9.37681E-02 4.40789E-04 2.32757E-03 2.76836E-03 1.39773E-03 0.024823 6 4 40.0 45.0 135.0 9.53351E-02 4.42526E-04 2.36294E-03 2.80547E-03 1.40324E-03 0.024786 6 7 40.0 90.0 90.0 1.01388E-01 4.45228E-04 2.52116E-03 2.96639E-03 1.41180E-03 0.024866 5 1 50.0 0.0 180.0 8.62942E-02 4.71067E-04 2.98718E-03 3.45824E-03 1.49374E-03 0.034616 5 4 50.0 45.0 135.0 8.75844E-02 4.70623E-04 3.03833E-03 3.50896E-03 1.49233E-03 0.034690 5 7 50.0 90.0 90.0 9.26204E-02 4.73943E-04 3.21602E-03 3.68996E-03 1.50286E-03 0.034723 4 1 60.0 0.0 180.0 7.85283E-02 4.91590E-04 4.88066E-03 5.37225E-03 1.55882E-03 0.062152 4 4 60.0 45.0 135.0 7.95656E-02 4.90387E-04 4.93319E-03 5.42358E-03 1.55500E-03 0.062002 4 7 60.0 90.0 90.0 8.36100E-02 4.99025E-04 5.22513E-03 5.72415E-03 1.58239E-03 0.062494 3 1 70.0 0.0 180.0 7.05056E-02 4.89576E-04 9.70036E-03 1.01899E-02 1.55243E-03 0.137583 3 4 70.0 45.0 135.0 7.13290E-02 4.93078E-04 9.84624E-03 1.03393E-02 1.56353E-03 0.138040 3 7 70.0 90.0 90.0 7.45097E-02 5.00023E-04 1.04584E-02 1.09584E-02 1.58555E-03 0.140362 2 1 80.0 0.0 180.0 6.23234E-02 4.47815E-04 1.97888E-02 2.02366E-02 1.42001E-03 0.317518 2 4 80.0 45.0 135.0 6.29732E-02 4.49613E-04 2.04289E-02 2.08785E-02 1.42571E-03 0.324406 2 7 80.0 90.0 90.0 6.54431E-02 4.53374E-04 2.15372E-02 2.19906E-02 1.43763E-03 0.329098 1 1 87.5 0.0 180.0 5.61727E-02 3.85511E-04 3.29237E-02 3.33092E-02 1.22244E-03 0.586116 1 4 87.5 45.0 135.0 5.67168E-02 3.67428E-04 3.46443E-02 3.50117E-02 1.16510E-03 0.610829 1 7 87.5 90.0 90.0 5.87499E-02 4.07936E-04 3.60601E-02 3.64680E-02 1.29355E-03 0.613790 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 645.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 2.816E-03 1.244E-01 4.474E-02 4.761E-02 5.326E-02 8.930E-03 6.521E+00 3.856E-04 1.223E-03 1 0.00 0.00 7.145E-04 2.194E-01 3.015E-03 3.202E-03 3.369E-03 2.374E-03 5.584E+00 3 12.14 5.00 5.632E-05 1.671E-02 5.308E-04 5.526E-04 5.827E-04 2.637E-03 6.637E+00 5 24.29 10.00 4.638E-06 1.109E-03 3.756E-05 3.826E-05 3.905E-05 3.281E-03 6.032E+00 7 36.43 15.00 5.631E-07 7.377E-05 2.891E-06 2.911E-06 2.931E-06 5.931E-03 4.885E+00 9 48.58 20.00 1.100E-07 5.090E-06 3.015E-07 3.020E-07 3.025E-07 1.613E-02 3.980E+00 11 60.72 25.00 2.802E-08 4.026E-07 5.123E-08 5.124E-08 5.125E-08 4.585E-02 3.636E+00 13 72.87 30.00 7.803E-09 4.584E-08 1.234E-08 1.234E-08 1.234E-08 9.006E-02 3.541E+00 15 85.01 35.00 2.229E-09 8.563E-09 3.388E-09 3.388E-09 3.388E-09 1.172E-01 3.516E+00 17 97.16 40.00 6.424E-10 2.160E-09 9.659E-10 9.659E-10 9.659E-10 1.263E-01 3.508E+00 19 109.30 45.00 1.858E-10 6.030E-10 2.784E-10 2.784E-10 2.784E-10 1.288E-01 3.505E+00 21 121.45 50.00 5.386E-11 1.731E-10 8.058E-11 8.058E-11 8.058E-11 1.296E-01 3.504E+00 Waveband 25 of 30 completed in 24.5 sec. * * * * * Output for wavelength band 26 (650.0 to 660.0 nm; nominal wavelength = 655.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 58.1 m at 655.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 650.0 nm to 660.0 nm: Ed(diffuse) = 3.062E-01 Ed(direct) = 8.991E-01 Ed(total) = 1.205E+00 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 3.013E-01 Ed(direct) = 0.000E+00 Ed(total) = 3.013E-01 Absorption Coefficients of Individual Components at 655.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3710 0.0614 0.0000 0.0019 0.4344 3 12.405 5.000 0.3710 0.0614 0.0000 0.0019 0.4344 5 24.811 10.000 0.3710 0.0614 0.0000 0.0019 0.4344 7 37.216 15.000 0.3710 0.0614 0.0000 0.0019 0.4344 9 49.621 20.000 0.3710 0.0614 0.0000 0.0019 0.4344 11 62.026 25.000 0.3710 0.0614 0.0000 0.0019 0.4344 13 74.432 30.000 0.3710 0.0614 0.0000 0.0019 0.4344 15 86.837 35.000 0.3710 0.0614 0.0000 0.0019 0.4344 17 99.242 40.000 0.3710 0.0614 0.0000 0.0019 0.4344 19 111.647 45.000 0.3710 0.0614 0.0000 0.0019 0.4344 21 124.053 50.000 0.3710 0.0614 0.0000 0.0019 0.4344 Scattering Coefficients of Individual Components at 655.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0009 0.4797 1.5661 0.0000 2.0467 3 12.405 5.000 0.0009 0.4797 1.5661 0.0000 2.0467 5 24.811 10.000 0.0009 0.4797 1.5661 0.0000 2.0467 7 37.216 15.000 0.0009 0.4797 1.5661 0.0000 2.0467 9 49.621 20.000 0.0009 0.4797 1.5661 0.0000 2.0467 11 62.026 25.000 0.0009 0.4797 1.5661 0.0000 2.0467 13 74.432 30.000 0.0009 0.4797 1.5661 0.0000 2.0467 15 86.837 35.000 0.0009 0.4797 1.5661 0.0000 2.0467 17 99.242 40.000 0.0009 0.4797 1.5661 0.0000 2.0467 19 111.647 45.000 0.0009 0.4797 1.5661 0.0000 2.0467 21 124.053 50.000 0.0009 0.4797 1.5661 0.0000 2.0467 Backscattering Coefficients of Individual Components at 655.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00045 0.00672 0.00276 0.00000 0.00993 3 12.405 5.000 0.00045 0.00672 0.00276 0.00000 0.00993 5 24.811 10.000 0.00045 0.00672 0.00276 0.00000 0.00993 7 37.216 15.000 0.00045 0.00672 0.00276 0.00000 0.00993 9 49.621 20.000 0.00045 0.00672 0.00276 0.00000 0.00993 11 62.026 25.000 0.00045 0.00672 0.00276 0.00000 0.00993 13 74.432 30.000 0.00045 0.00672 0.00276 0.00000 0.00993 15 86.837 35.000 0.00045 0.00672 0.00276 0.00000 0.00993 17 99.242 40.000 0.00045 0.00672 0.00276 0.00000 0.00993 19 111.647 45.000 0.00045 0.00672 0.00276 0.00000 0.00993 21 124.053 50.000 0.00045 0.00672 0.00276 0.00000 0.00993 Summary of Inherent Optical Properties at 655.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.4344 2.0467 2.4811 0.8249 0.00993 0.00485 3 12.405 5.000 0.4344 2.0467 2.4811 0.8249 0.00993 0.00485 5 24.811 10.000 0.4344 2.0467 2.4811 0.8249 0.00993 0.00485 7 37.216 15.000 0.4344 2.0467 2.4811 0.8249 0.00993 0.00485 9 49.621 20.000 0.4344 2.0467 2.4811 0.8249 0.00993 0.00485 11 62.026 25.000 0.4344 2.0467 2.4811 0.8249 0.00993 0.00485 13 74.432 30.000 0.4344 2.0467 2.4811 0.8249 0.00993 0.00485 15 86.837 35.000 0.4344 2.0467 2.4811 0.8249 0.00993 0.00485 17 99.242 40.000 0.4344 2.0467 2.4811 0.8249 0.00993 0.00485 19 111.647 45.000 0.4344 2.0467 2.4811 0.8249 0.00993 0.00485 21 124.053 50.000 0.4344 2.0467 2.4811 0.8249 0.00993 0.00485 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3649E-01 8 20.00 7.8384E-01 7 30.00 5.8893E-01 6 40.00 4.0165E-01 5 50.00 2.5259E-01 4 60.00 1.4944E-01 3 70.00 8.5165E-02 2 80.00 4.8262E-02 1 87.50 3.1342E-02 1 92.50 2.2797E-02 2 100.00 1.5254E-02 3 110.00 9.5983E-03 4 120.00 6.4276E-03 5 130.00 4.6530E-03 6 140.00 3.6455E-03 7 150.00 3.0682E-03 8 160.00 2.7429E-03 9 170.00 2.5767E-03 10 180.00 2.5203E-03 Asymptotic AOP values are MUu(inf) = 0.3148 MUd(inf) = 0.7530 MU(inf) = 0.7180 R(inf) = 0.0142 Lu(inf)/Ed(inf) = 0.002077 (1/sr) k(inf) = 0.6050 (1/m) absorp(check) = 0.4344 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 655.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 6.6630E-02 5.3401E-01 6.0065E-01 1.7363E-02 3.0134E-01 0.2606 0.5643 0.4728 5.7622E-02 1 0.00 0.00 8.8840E-03 3.4613E-01 3.5501E-01 3.3012E-03 2.8727E-01 0.3716 0.8299 0.7999 1.1492E-02 3 12.41 5.00 7.1954E-04 1.9827E-02 2.0546E-02 2.3438E-04 1.4914E-02 0.3257 0.7522 0.7145 1.5715E-02 5 24.81 10.00 4.6170E-05 9.8199E-04 1.0282E-03 1.6614E-05 7.3459E-04 0.3598 0.7481 0.6983 2.2617E-02 7 37.22 15.00 5.3481E-06 5.3043E-05 5.8391E-05 2.2605E-06 3.8649E-05 0.4227 0.7286 0.6232 5.8489E-02 9 49.62 20.00 1.1410E-06 4.0861E-06 5.2270E-06 5.2269E-07 2.7144E-06 0.4581 0.6643 0.4193 1.9257E-01 11 62.03 25.00 3.0886E-07 6.3003E-07 9.3889E-07 1.4424E-07 3.7086E-07 0.4670 0.5886 0.2414 3.8894E-01 13 74.43 30.00 8.8582E-08 1.5545E-07 2.4404E-07 4.1533E-08 8.7128E-08 0.4689 0.5605 0.1868 4.7668E-01 15 86.84 35.00 2.5805E-08 4.3895E-08 6.9700E-08 1.2112E-08 2.4334E-08 0.4694 0.5544 0.1754 4.9772E-01 17 99.24 40.00 7.5686E-09 1.2782E-08 2.0350E-08 3.5539E-09 7.0701E-09 0.4696 0.5531 0.1728 5.0267E-01 19 111.65 45.00 2.2294E-09 3.7550E-09 5.9844E-09 1.0471E-09 2.0757E-09 0.4697 0.5528 0.1719 5.0448E-01 21 124.05 50.00 6.5880E-10 1.1079E-09 1.7667E-09 3.0932E-10 6.1224E-10 0.4695 0.5526 0.1715 5.0522E-01 K-functions (units of 1/meter) at 655.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.15945 0.45096 0.44366 0.29119 0.53980 0.54270 0.48826 5.000 5.010 5.005 0.57869 0.60263 0.60179 0.56935 0.60371 0.60425 0.54452 10.000 10.010 10.005 0.50319 0.59675 0.59255 0.47269 0.59886 0.60178 0.41635 15.000 15.010 15.005 0.35818 0.56204 0.54335 0.33163 0.57226 0.58723 0.29862 20.000 20.010 20.005 0.27498 0.44731 0.40967 0.26732 0.47341 0.52262 0.25916 25.000 25.010 25.005 0.25298 0.31157 0.29229 0.25143 0.32898 0.37837 0.24972 30.000 30.010 30.005 0.24774 0.26024 0.25570 0.24736 0.26466 0.28041 0.24689 35.000 35.010 35.005 0.24590 0.24847 0.24751 0.24574 0.24933 0.25289 0.24553 40.000 40.010 40.005 0.24483 0.24562 0.24533 0.24477 0.24581 0.24687 0.24464 45.000 45.010 45.005 0.24410 0.24449 0.24434 0.24406 0.24457 0.24508 0.24403 50.000 50.010 50.005 0.24332 0.24376 0.24360 0.24377 0.24383 0.24390 0.25499 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 655.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.18883E-01 3.21226E-04 2.32254E-03 2.64376E-03 1.06601E-03 0.019536 9 1 10.0 0.0 180.0 1.10055E-01 3.26800E-04 2.17410E-03 2.50090E-03 1.08450E-03 0.019755 9 4 10.0 45.0 135.0 1.11639E-01 3.26118E-04 2.20511E-03 2.53123E-03 1.08224E-03 0.019752 9 7 10.0 90.0 90.0 1.16618E-01 3.26864E-04 2.29705E-03 2.62392E-03 1.08472E-03 0.019697 8 1 20.0 0.0 180.0 1.03290E-01 3.34511E-04 2.07691E-03 2.41142E-03 1.11010E-03 0.020108 8 4 20.0 45.0 135.0 1.05138E-01 3.32393E-04 2.11575E-03 2.44814E-03 1.10307E-03 0.020123 8 7 20.0 90.0 90.0 1.11658E-01 3.34300E-04 2.23121E-03 2.56551E-03 1.10940E-03 0.019983 7 1 30.0 0.0 180.0 9.65020E-02 3.46557E-04 2.05631E-03 2.40287E-03 1.15007E-03 0.021309 7 4 30.0 45.0 135.0 9.82418E-02 3.47806E-04 2.09615E-03 2.44395E-03 1.15421E-03 0.021337 7 7 30.0 90.0 90.0 1.04769E-01 3.48781E-04 2.22821E-03 2.57699E-03 1.15745E-03 0.021268 6 1 40.0 0.0 180.0 8.95977E-02 3.64731E-04 2.22405E-03 2.58878E-03 1.21038E-03 0.024823 6 4 40.0 45.0 135.0 9.10951E-02 3.66081E-04 2.25785E-03 2.62393E-03 1.21486E-03 0.024786 6 7 40.0 90.0 90.0 9.68788E-02 3.68100E-04 2.40903E-03 2.77713E-03 1.22156E-03 0.024866 5 1 50.0 0.0 180.0 8.24562E-02 3.88792E-04 2.85432E-03 3.24311E-03 1.29023E-03 0.034616 5 4 50.0 45.0 135.0 8.36891E-02 3.88322E-04 2.90320E-03 3.29152E-03 1.28867E-03 0.034690 5 7 50.0 90.0 90.0 8.85011E-02 3.90802E-04 3.07299E-03 3.46379E-03 1.29690E-03 0.034723 4 1 60.0 0.0 180.0 7.50357E-02 4.04843E-04 4.66359E-03 5.06844E-03 1.34349E-03 0.062152 4 4 60.0 45.0 135.0 7.60269E-02 4.03737E-04 4.71379E-03 5.11752E-03 1.33983E-03 0.062002 4 7 60.0 90.0 90.0 7.98914E-02 4.10560E-04 4.99274E-03 5.40330E-03 1.36247E-03 0.062494 3 1 70.0 0.0 180.0 6.73699E-02 4.02556E-04 9.26894E-03 9.67149E-03 1.33591E-03 0.137583 3 4 70.0 45.0 135.0 6.81566E-02 4.05322E-04 9.40833E-03 9.81365E-03 1.34508E-03 0.138040 3 7 70.0 90.0 90.0 7.11959E-02 4.10732E-04 9.99321E-03 1.04039E-02 1.36304E-03 0.140362 2 1 80.0 0.0 180.0 5.95515E-02 3.67945E-04 1.89087E-02 1.92767E-02 1.22105E-03 0.317518 2 4 80.0 45.0 135.0 6.01724E-02 3.69315E-04 1.95203E-02 1.98896E-02 1.22559E-03 0.324406 2 7 80.0 90.0 90.0 6.25325E-02 3.72141E-04 2.05794E-02 2.09515E-02 1.23497E-03 0.329098 1 1 87.5 0.0 180.0 5.36744E-02 3.16835E-04 3.14594E-02 3.17763E-02 1.05143E-03 0.586116 1 4 87.5 45.0 135.0 5.41943E-02 3.01893E-04 3.31035E-02 3.34053E-02 1.00185E-03 0.610829 1 7 87.5 90.0 90.0 5.61369E-02 3.34956E-04 3.44563E-02 3.47913E-02 1.11157E-03 0.613790 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 655.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 2.644E-03 1.189E-01 4.273E-02 4.546E-02 5.086E-02 8.773E-03 6.568E+00 3.212E-04 1.066E-03 1 0.00 0.00 5.952E-04 2.096E-01 2.562E-03 2.724E-03 2.867E-03 2.072E-03 5.546E+00 3 12.41 5.00 3.755E-05 1.209E-02 3.266E-04 3.396E-04 3.576E-04 2.518E-03 6.241E+00 5 24.81 10.00 3.302E-06 5.987E-04 1.851E-05 1.881E-05 1.915E-05 4.495E-03 5.032E+00 7 37.22 15.00 5.729E-07 3.032E-05 1.520E-06 1.526E-06 1.532E-06 1.482E-02 3.946E+00 9 49.62 20.00 1.453E-07 1.810E-06 2.472E-07 2.474E-07 2.475E-07 5.353E-02 3.598E+00 11 62.03 25.00 4.093E-08 1.838E-07 6.172E-08 6.172E-08 6.172E-08 1.104E-01 3.524E+00 13 74.43 30.00 1.184E-08 3.663E-08 1.741E-08 1.741E-08 1.741E-08 1.359E-01 3.508E+00 15 86.84 35.00 3.458E-09 9.817E-09 5.050E-09 5.050E-09 5.050E-09 1.421E-01 3.503E+00 17 99.24 40.00 1.015E-09 2.829E-09 1.479E-09 1.479E-09 1.479E-09 1.436E-01 3.500E+00 19 111.65 45.00 2.993E-10 8.289E-10 4.354E-10 4.354E-10 4.354E-10 1.442E-01 3.498E+00 21 124.05 50.00 8.754E-11 2.443E-10 1.286E-10 1.286E-10 1.286E-10 1.430E-01 3.533E+00 Waveband 26 of 30 completed in 24.8 sec. * * * * * Output for wavelength band 27 (660.0 to 670.0 nm; nominal wavelength = 665.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 57.8 m at 665.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 660.0 nm to 670.0 nm: Ed(diffuse) = 3.168E-01 Ed(direct) = 9.381E-01 Ed(total) = 1.255E+00 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 3.137E-01 Ed(direct) = 0.000E+00 Ed(total) = 3.137E-01 Absorption Coefficients of Individual Components at 665.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.4290 0.0920 0.0000 0.0017 0.5227 3 12.846 5.000 0.4290 0.0920 0.0000 0.0017 0.5227 5 25.693 10.000 0.4290 0.0920 0.0000 0.0017 0.5227 7 38.539 15.000 0.4290 0.0920 0.0000 0.0017 0.5227 9 51.386 20.000 0.4290 0.0920 0.0000 0.0017 0.5227 11 64.232 25.000 0.4290 0.0920 0.0000 0.0017 0.5227 13 77.078 30.000 0.4290 0.0920 0.0000 0.0017 0.5227 15 89.925 35.000 0.4290 0.0920 0.0000 0.0017 0.5227 17 102.771 40.000 0.4290 0.0920 0.0000 0.0017 0.5227 19 115.618 45.000 0.4290 0.0920 0.0000 0.0017 0.5227 21 128.464 50.000 0.4290 0.0920 0.0000 0.0017 0.5227 Scattering Coefficients of Individual Components at 665.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0008 0.4797 1.5661 0.0000 2.0466 3 12.846 5.000 0.0008 0.4797 1.5661 0.0000 2.0466 5 25.693 10.000 0.0008 0.4797 1.5661 0.0000 2.0466 7 38.539 15.000 0.0008 0.4797 1.5661 0.0000 2.0466 9 51.386 20.000 0.0008 0.4797 1.5661 0.0000 2.0466 11 64.232 25.000 0.0008 0.4797 1.5661 0.0000 2.0466 13 77.078 30.000 0.0008 0.4797 1.5661 0.0000 2.0466 15 89.925 35.000 0.0008 0.4797 1.5661 0.0000 2.0466 17 102.771 40.000 0.0008 0.4797 1.5661 0.0000 2.0466 19 115.618 45.000 0.0008 0.4797 1.5661 0.0000 2.0466 21 128.464 50.000 0.0008 0.4797 1.5661 0.0000 2.0466 Backscattering Coefficients of Individual Components at 665.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00042 0.00672 0.00276 0.00000 0.00990 3 12.846 5.000 0.00042 0.00672 0.00276 0.00000 0.00990 5 25.693 10.000 0.00042 0.00672 0.00276 0.00000 0.00990 7 38.539 15.000 0.00042 0.00672 0.00276 0.00000 0.00990 9 51.386 20.000 0.00042 0.00672 0.00276 0.00000 0.00990 11 64.232 25.000 0.00042 0.00672 0.00276 0.00000 0.00990 13 77.078 30.000 0.00042 0.00672 0.00276 0.00000 0.00990 15 89.925 35.000 0.00042 0.00672 0.00276 0.00000 0.00990 17 102.771 40.000 0.00042 0.00672 0.00276 0.00000 0.00990 19 115.618 45.000 0.00042 0.00672 0.00276 0.00000 0.00990 21 128.464 50.000 0.00042 0.00672 0.00276 0.00000 0.00990 Summary of Inherent Optical Properties at 665.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.5227 2.0466 2.5693 0.7966 0.00990 0.00484 3 12.846 5.000 0.5227 2.0466 2.5693 0.7966 0.00990 0.00484 5 25.693 10.000 0.5227 2.0466 2.5693 0.7966 0.00990 0.00484 7 38.539 15.000 0.5227 2.0466 2.5693 0.7966 0.00990 0.00484 9 51.386 20.000 0.5227 2.0466 2.5693 0.7966 0.00990 0.00484 11 64.232 25.000 0.5227 2.0466 2.5693 0.7966 0.00990 0.00484 13 77.078 30.000 0.5227 2.0466 2.5693 0.7966 0.00990 0.00484 15 89.925 35.000 0.5227 2.0466 2.5693 0.7966 0.00990 0.00484 17 102.771 40.000 0.5227 2.0466 2.5693 0.7966 0.00990 0.00484 19 115.618 45.000 0.5227 2.0466 2.5693 0.7966 0.00990 0.00484 21 128.464 50.000 0.5227 2.0466 2.5693 0.7966 0.00990 0.00484 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.2992E-01 8 20.00 7.6370E-01 7 30.00 5.5699E-01 6 40.00 3.6561E-01 5 50.00 2.2004E-01 4 60.00 1.2432E-01 3 70.00 6.7752E-02 2 80.00 3.6908E-02 1 87.50 2.3394E-02 1 92.50 1.6804E-02 2 100.00 1.1099E-02 3 110.00 6.9151E-03 4 120.00 4.6244E-03 5 130.00 3.3651E-03 6 140.00 2.6594E-03 7 150.00 2.2588E-03 8 160.00 2.0345E-03 9 170.00 1.9205E-03 10 180.00 1.8818E-03 Asymptotic AOP values are MUu(inf) = 0.3143 MUd(inf) = 0.7685 MU(inf) = 0.7401 R(inf) = 0.0110 Lu(inf)/Ed(inf) = 0.001661 (1/sr) k(inf) = 0.7062 (1/m) absorp(check) = 0.5227 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 665.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 6.9202E-02 5.5595E-01 6.2515E-01 1.8009E-02 3.1371E-01 0.2602 0.5643 0.4730 5.7406E-02 1 0.00 0.00 8.3214E-03 3.5952E-01 3.6784E-01 3.1346E-03 2.9883E-01 0.3767 0.8312 0.8039 1.0489E-02 3 12.85 5.00 5.8355E-04 1.2301E-02 1.2885E-02 2.2342E-04 9.3424E-03 0.3829 0.7595 0.7077 2.3914E-02 5 25.69 10.00 7.5985E-05 4.5379E-04 5.2977E-04 3.4167E-05 3.2466E-04 0.4497 0.7155 0.5483 1.0524E-01 7 38.54 15.00 1.8109E-05 3.8559E-05 5.6668E-05 8.4621E-06 2.3276E-05 0.4673 0.6037 0.2614 3.6355E-01 9 51.39 20.00 4.9497E-06 8.0828E-06 1.3033E-05 2.3264E-06 4.4611E-06 0.4700 0.5519 0.1638 5.2147E-01 11 64.23 25.00 1.3999E-06 2.1965E-06 3.5964E-06 6.5883E-07 1.1942E-06 0.4706 0.5437 0.1489 5.5170E-01 13 77.08 30.00 4.0234E-07 6.2576E-07 1.0281E-06 1.8948E-07 3.3933E-07 0.4710 0.5423 0.1458 5.5841E-01 15 89.92 35.00 1.1689E-07 1.8102E-07 2.9790E-07 5.5074E-08 9.8069E-08 0.4712 0.5418 0.1443 5.6158E-01 17 102.77 40.00 3.4232E-08 5.2855E-08 8.7087E-08 1.6135E-08 2.8618E-08 0.4714 0.5414 0.1433 5.6382E-01 19 115.62 45.00 1.0090E-08 1.5542E-08 2.5631E-08 4.7573E-09 8.4109E-09 0.4715 0.5412 0.1425 5.6562E-01 21 128.46 50.00 3.0036E-09 4.5961E-09 7.5996E-09 1.4205E-09 2.4863E-09 0.4729 0.5410 0.1402 5.7134E-01 K-functions (units of 1/meter) at 665.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.24975 0.55504 0.54813 0.37417 0.64351 0.64637 0.53353 5.000 5.010 5.005 0.51628 0.69232 0.68434 0.47449 0.69656 0.70201 0.41182 10.000 10.010 10.005 0.32256 0.60256 0.56235 0.30598 0.62713 0.66497 0.28838 15.000 15.010 15.005 0.26645 0.37854 0.34270 0.26392 0.41072 0.49467 0.26123 20.000 20.010 20.005 0.25495 0.27254 0.26586 0.25447 0.27941 0.30659 0.25386 25.000 25.010 25.005 0.25078 0.25372 0.25258 0.25054 0.25473 0.25989 0.25025 30.000 30.010 30.005 0.24821 0.24926 0.24884 0.24806 0.24953 0.25137 0.24786 35.000 35.010 35.005 0.24633 0.24700 0.24674 0.24626 0.24718 0.24835 0.24611 40.000 40.010 40.005 0.24493 0.24544 0.24524 0.24486 0.24555 0.24645 0.24474 45.000 45.010 45.005 0.24374 0.24420 0.24402 0.24367 0.24429 0.24510 0.24345 50.000 50.010 50.005 0.23815 0.24309 0.24114 0.23541 0.24320 0.25358 0.22450 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 665.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.23767E-01 3.26768E-04 2.41795E-03 2.74472E-03 1.04161E-03 0.019536 9 1 10.0 0.0 180.0 1.14576E-01 3.31843E-04 2.26342E-03 2.59526E-03 1.05779E-03 0.019755 9 4 10.0 45.0 135.0 1.16225E-01 3.31094E-04 2.29570E-03 2.62680E-03 1.05540E-03 0.019752 9 7 10.0 90.0 90.0 1.21409E-01 3.31709E-04 2.39142E-03 2.72313E-03 1.05736E-03 0.019697 8 1 20.0 0.0 180.0 1.07533E-01 3.38130E-04 2.16223E-03 2.50036E-03 1.07783E-03 0.020108 8 4 20.0 45.0 135.0 1.09457E-01 3.35899E-04 2.20266E-03 2.53856E-03 1.07071E-03 0.020123 8 7 20.0 90.0 90.0 1.16245E-01 3.37581E-04 2.32287E-03 2.66045E-03 1.07608E-03 0.019983 7 1 30.0 0.0 180.0 1.00466E-01 3.48173E-04 2.14079E-03 2.48896E-03 1.10984E-03 0.021309 7 4 30.0 45.0 135.0 1.02278E-01 3.49298E-04 2.18226E-03 2.53156E-03 1.11343E-03 0.021337 7 7 30.0 90.0 90.0 1.09073E-01 3.49918E-04 2.31974E-03 2.66966E-03 1.11540E-03 0.021268 6 1 40.0 0.0 180.0 9.32785E-02 3.62544E-04 2.31542E-03 2.67796E-03 1.15565E-03 0.024823 6 4 40.0 45.0 135.0 9.48373E-02 3.63690E-04 2.35060E-03 2.71429E-03 1.15930E-03 0.024786 6 7 40.0 90.0 90.0 1.00859E-01 3.65159E-04 2.50800E-03 2.87316E-03 1.16399E-03 0.024866 5 1 50.0 0.0 180.0 8.58436E-02 3.82192E-04 2.97158E-03 3.35377E-03 1.21828E-03 0.034616 5 4 50.0 45.0 135.0 8.71271E-02 3.81473E-04 3.02247E-03 3.40394E-03 1.21599E-03 0.034690 5 7 50.0 90.0 90.0 9.21368E-02 3.83205E-04 3.19923E-03 3.58243E-03 1.22151E-03 0.034723 4 1 60.0 0.0 180.0 7.81182E-02 3.93607E-04 4.85518E-03 5.24878E-03 1.25466E-03 0.062152 4 4 60.0 45.0 135.0 7.91501E-02 3.92240E-04 4.90743E-03 5.29967E-03 1.25031E-03 0.062002 4 7 60.0 90.0 90.0 8.31734E-02 3.98028E-04 5.19784E-03 5.59587E-03 1.26876E-03 0.062494 3 1 70.0 0.0 180.0 7.01375E-02 3.86673E-04 9.64971E-03 1.00364E-02 1.23256E-03 0.137583 3 4 70.0 45.0 135.0 7.09565E-02 3.89021E-04 9.79483E-03 1.01839E-02 1.24005E-03 0.138040 3 7 70.0 90.0 90.0 7.41206E-02 3.93237E-04 1.04037E-02 1.07970E-02 1.25348E-03 0.140362 2 1 80.0 0.0 180.0 6.19979E-02 3.49872E-04 1.96855E-02 2.00354E-02 1.11526E-03 0.317518 2 4 80.0 45.0 135.0 6.26444E-02 3.50838E-04 2.03222E-02 2.06731E-02 1.11833E-03 0.324406 2 7 80.0 90.0 90.0 6.51014E-02 3.52660E-04 2.14248E-02 2.17774E-02 1.12414E-03 0.329098 1 1 87.5 0.0 180.0 5.58794E-02 2.98629E-04 3.27518E-02 3.30504E-02 9.51913E-04 0.586116 1 4 87.5 45.0 135.0 5.64206E-02 2.84315E-04 3.44634E-02 3.47477E-02 9.06284E-04 0.610829 1 7 87.5 90.0 90.0 5.84431E-02 3.14600E-04 3.58718E-02 3.61864E-02 1.00282E-03 0.613790 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 665.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 2.745E-03 1.238E-01 4.446E-02 4.731E-02 5.293E-02 8.749E-03 6.561E+00 3.268E-04 1.042E-03 1 0.00 0.00 6.057E-04 2.183E-01 2.406E-03 2.553E-03 2.681E-03 2.027E-03 5.175E+00 3 12.85 5.00 4.952E-05 7.913E-03 2.071E-04 2.134E-04 2.221E-04 5.301E-03 4.511E+00 5 25.69 10.00 9.250E-06 2.565E-04 1.761E-05 1.770E-05 1.779E-05 2.849E-02 3.694E+00 7 38.54 15.00 2.384E-06 1.285E-05 3.589E-06 3.590E-06 3.591E-06 1.024E-01 3.550E+00 9 51.39 20.00 6.597E-07 1.827E-06 9.564E-07 9.564E-07 9.564E-07 1.479E-01 3.526E+00 11 64.23 25.00 1.872E-07 4.600E-07 2.691E-07 2.691E-07 2.691E-07 1.568E-01 3.519E+00 13 77.08 30.00 5.391E-08 1.295E-07 7.718E-08 7.718E-08 7.718E-08 1.589E-01 3.515E+00 15 89.92 35.00 1.568E-08 3.732E-08 2.239E-08 2.239E-08 2.239E-08 1.599E-01 3.512E+00 17 102.77 40.00 4.598E-09 1.088E-08 6.550E-09 6.550E-09 6.550E-09 1.607E-01 3.509E+00 19 115.62 45.00 1.357E-09 3.193E-09 1.929E-09 1.929E-09 1.929E-09 1.613E-01 3.507E+00 21 128.46 50.00 4.103E-10 9.429E-10 5.713E-10 5.713E-10 5.713E-10 1.650E-01 3.462E+00 Waveband 27 of 30 completed in 25.9 sec. * * * * * Output for wavelength band 28 (670.0 to 680.0 nm; nominal wavelength = 675.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 57.7 m at 675.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 670.0 nm to 680.0 nm: Ed(diffuse) = 3.090E-01 Ed(direct) = 9.226E-01 Ed(total) = 1.232E+00 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 3.079E-01 Ed(direct) = 0.000E+00 Ed(total) = 3.079E-01 Absorption Coefficients of Individual Components at 675.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.4480 0.1129 0.0000 0.0015 0.5624 3 13.045 5.000 0.4480 0.1129 0.0000 0.0015 0.5624 5 26.090 10.000 0.4480 0.1129 0.0000 0.0015 0.5624 7 39.134 15.000 0.4480 0.1129 0.0000 0.0015 0.5624 9 52.179 20.000 0.4480 0.1129 0.0000 0.0015 0.5624 11 65.224 25.000 0.4480 0.1129 0.0000 0.0015 0.5624 13 78.269 30.000 0.4480 0.1129 0.0000 0.0015 0.5624 15 91.313 35.000 0.4480 0.1129 0.0000 0.0015 0.5624 17 104.358 40.000 0.4480 0.1129 0.0000 0.0015 0.5624 19 117.403 45.000 0.4480 0.1129 0.0000 0.0015 0.5624 21 130.448 50.000 0.4480 0.1129 0.0000 0.0015 0.5624 Scattering Coefficients of Individual Components at 675.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0008 0.4797 1.5661 0.0000 2.0466 3 13.045 5.000 0.0008 0.4797 1.5661 0.0000 2.0466 5 26.090 10.000 0.0008 0.4797 1.5661 0.0000 2.0466 7 39.134 15.000 0.0008 0.4797 1.5661 0.0000 2.0466 9 52.179 20.000 0.0008 0.4797 1.5661 0.0000 2.0466 11 65.224 25.000 0.0008 0.4797 1.5661 0.0000 2.0466 13 78.269 30.000 0.0008 0.4797 1.5661 0.0000 2.0466 15 91.313 35.000 0.0008 0.4797 1.5661 0.0000 2.0466 17 104.358 40.000 0.0008 0.4797 1.5661 0.0000 2.0466 19 117.403 45.000 0.0008 0.4797 1.5661 0.0000 2.0466 21 130.448 50.000 0.0008 0.4797 1.5661 0.0000 2.0466 Backscattering Coefficients of Individual Components at 675.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00040 0.00672 0.00276 0.00000 0.00988 3 13.045 5.000 0.00040 0.00672 0.00276 0.00000 0.00988 5 26.090 10.000 0.00040 0.00672 0.00276 0.00000 0.00988 7 39.134 15.000 0.00040 0.00672 0.00276 0.00000 0.00988 9 52.179 20.000 0.00040 0.00672 0.00276 0.00000 0.00988 11 65.224 25.000 0.00040 0.00672 0.00276 0.00000 0.00988 13 78.269 30.000 0.00040 0.00672 0.00276 0.00000 0.00988 15 91.313 35.000 0.00040 0.00672 0.00276 0.00000 0.00988 17 104.358 40.000 0.00040 0.00672 0.00276 0.00000 0.00988 19 117.403 45.000 0.00040 0.00672 0.00276 0.00000 0.00988 21 130.448 50.000 0.00040 0.00672 0.00276 0.00000 0.00988 Summary of Inherent Optical Properties at 675.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.5624 2.0466 2.6090 0.7844 0.00988 0.00483 3 13.045 5.000 0.5624 2.0466 2.6090 0.7844 0.00988 0.00483 5 26.090 10.000 0.5624 2.0466 2.6090 0.7844 0.00988 0.00483 7 39.134 15.000 0.5624 2.0466 2.6090 0.7844 0.00988 0.00483 9 52.179 20.000 0.5624 2.0466 2.6090 0.7844 0.00988 0.00483 11 65.224 25.000 0.5624 2.0466 2.6090 0.7844 0.00988 0.00483 13 78.269 30.000 0.5624 2.0466 2.6090 0.7844 0.00988 0.00483 15 91.313 35.000 0.5624 2.0466 2.6090 0.7844 0.00988 0.00483 17 104.358 40.000 0.5624 2.0466 2.6090 0.7844 0.00988 0.00483 19 117.403 45.000 0.5624 2.0466 2.6090 0.7844 0.00988 0.00483 21 130.448 50.000 0.5624 2.0466 2.6090 0.7844 0.00988 0.00483 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.2711E-01 8 20.00 7.5524E-01 7 30.00 5.4388E-01 6 40.00 3.5126E-01 5 50.00 2.0755E-01 4 60.00 1.1504E-01 3 70.00 6.1572E-02 2 80.00 3.3021E-02 1 87.50 2.0737E-02 1 92.50 1.4830E-02 2 100.00 9.7516E-03 3 110.00 6.0570E-03 4 120.00 4.0515E-03 5 130.00 2.9557E-03 6 140.00 2.3443E-03 7 150.00 1.9984E-03 8 160.00 1.8051E-03 9 170.00 1.7070E-03 10 180.00 1.6737E-03 Asymptotic AOP values are MUu(inf) = 0.3143 MUd(inf) = 0.7747 MU(inf) = 0.7485 R(inf) = 0.0100 Lu(inf)/Ed(inf) = 0.001520 (1/sr) k(inf) = 0.7513 (1/m) absorp(check) = 0.5624 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 675.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 6.8903E-02 5.4564E-01 6.1454E-01 1.8207E-02 3.0789E-01 0.2642 0.5643 0.4714 5.9132E-02 1 0.00 0.00 1.0318E-02 3.5449E-01 3.6481E-01 4.1353E-03 2.9382E-01 0.4008 0.8288 0.7941 1.4074E-02 3 13.04 5.00 1.1952E-03 1.0616E-02 1.1811E-02 5.2534E-04 7.8527E-03 0.4396 0.7397 0.6204 6.6900E-02 5 26.09 10.00 2.4892E-04 5.9406E-04 8.4298E-04 1.1617E-04 3.7145E-04 0.4667 0.6253 0.3028 3.1276E-01 7 39.13 15.00 6.4944E-05 1.0516E-04 1.7010E-04 3.0563E-05 5.8094E-05 0.4706 0.5524 0.1619 5.2609E-01 9 52.18 20.00 1.7888E-05 2.7449E-05 4.5337E-05 8.4332E-06 1.4854E-05 0.4715 0.5411 0.1416 5.6775E-01 11 65.22 25.00 5.0498E-06 7.6616E-06 1.2711E-05 2.3828E-06 4.1323E-06 0.4719 0.5393 0.1376 5.7662E-01 13 78.27 30.00 1.4481E-06 2.1850E-06 3.6330E-06 6.8368E-07 1.1770E-06 0.4721 0.5387 0.1358 5.8086E-01 15 91.31 35.00 4.1993E-07 6.3122E-07 1.0511E-06 1.9835E-07 3.3976E-07 0.4723 0.5383 0.1345 5.8378E-01 17 104.36 40.00 1.2282E-07 1.8408E-07 3.0690E-07 5.8031E-08 9.9025E-08 0.4725 0.5379 0.1336 5.8602E-01 19 117.40 45.00 3.6167E-08 5.4081E-08 9.0248E-08 1.7094E-08 2.9079E-08 0.4726 0.5377 0.1328 5.8784E-01 21 130.45 50.00 1.0755E-08 1.5985E-08 2.6739E-08 5.0970E-09 8.5914E-09 0.4739 0.5375 0.1307 5.9326E-01 K-functions (units of 1/meter) at 675.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.31331 0.60205 0.59388 0.37910 0.68672 0.69112 0.45605 5.000 5.010 5.005 0.37368 0.68276 0.65144 0.34904 0.70157 0.72690 0.32136 10.000 10.010 10.005 0.28034 0.44196 0.39421 0.27673 0.48297 0.57696 0.27276 15.000 15.010 15.005 0.26161 0.28606 0.27672 0.26100 0.29584 0.33452 0.26019 20.000 20.010 20.005 0.25497 0.25879 0.25728 0.25476 0.26011 0.26714 0.25440 25.000 25.010 25.005 0.25118 0.25261 0.25204 0.25105 0.25294 0.25552 0.25081 30.000 30.010 30.005 0.24858 0.24948 0.24912 0.24848 0.24967 0.25131 0.24831 35.000 35.010 35.005 0.24663 0.24731 0.24704 0.24658 0.24745 0.24867 0.24644 40.000 40.010 40.005 0.24516 0.24566 0.24546 0.24509 0.24576 0.24672 0.24498 45.000 45.010 45.005 0.24389 0.24432 0.24415 0.24383 0.24442 0.24527 0.24364 50.000 50.010 50.005 0.23859 0.24312 0.24130 0.23602 0.24328 0.25386 0.22527 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 675.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.21471E-01 4.95190E-04 2.37309E-03 2.86828E-03 1.60831E-03 0.019536 9 1 10.0 0.0 180.0 1.12451E-01 5.01594E-04 2.22143E-03 2.72302E-03 1.62911E-03 0.019755 9 4 10.0 45.0 135.0 1.14069E-01 5.00390E-04 2.25311E-03 2.75350E-03 1.62520E-03 0.019752 9 7 10.0 90.0 90.0 1.19157E-01 5.01128E-04 2.34705E-03 2.84818E-03 1.62760E-03 0.019697 8 1 20.0 0.0 180.0 1.05538E-01 5.07972E-04 2.12212E-03 2.63009E-03 1.64982E-03 0.020108 8 4 20.0 45.0 135.0 1.07427E-01 5.04505E-04 2.16180E-03 2.66631E-03 1.63856E-03 0.020123 8 7 20.0 90.0 90.0 1.14088E-01 5.06688E-04 2.27977E-03 2.78646E-03 1.64565E-03 0.019983 7 1 30.0 0.0 180.0 9.86026E-02 5.18680E-04 2.10107E-03 2.61975E-03 1.68460E-03 0.021309 7 4 30.0 45.0 135.0 1.00380E-01 5.20186E-04 2.14177E-03 2.66196E-03 1.68949E-03 0.021337 7 7 30.0 90.0 90.0 1.07049E-01 5.20575E-04 2.27671E-03 2.79728E-03 1.69076E-03 0.021268 6 1 40.0 0.0 180.0 9.15480E-02 5.31856E-04 2.27246E-03 2.80432E-03 1.72740E-03 0.024823 6 4 40.0 45.0 135.0 9.30780E-02 5.33246E-04 2.30699E-03 2.84024E-03 1.73191E-03 0.024786 6 7 40.0 90.0 90.0 9.89875E-02 5.34523E-04 2.46147E-03 2.99600E-03 1.73606E-03 0.024866 5 1 50.0 0.0 180.0 8.42511E-02 5.50935E-04 2.91645E-03 3.46738E-03 1.78936E-03 0.034616 5 4 50.0 45.0 135.0 8.55107E-02 5.49480E-04 2.96640E-03 3.51588E-03 1.78464E-03 0.034690 5 7 50.0 90.0 90.0 9.04275E-02 5.50718E-04 3.13988E-03 3.69060E-03 1.78866E-03 0.034723 4 1 60.0 0.0 180.0 7.66690E-02 5.56907E-04 4.76511E-03 5.32201E-03 1.80876E-03 0.062152 4 4 60.0 45.0 135.0 7.76817E-02 5.54472E-04 4.81639E-03 5.37086E-03 1.80085E-03 0.062002 4 7 60.0 90.0 90.0 8.16304E-02 5.61059E-04 5.10141E-03 5.66247E-03 1.82224E-03 0.062494 3 1 70.0 0.0 180.0 6.88363E-02 5.34529E-04 9.47069E-03 1.00052E-02 1.73608E-03 0.137583 3 4 70.0 45.0 135.0 6.96401E-02 5.37211E-04 9.61312E-03 1.01503E-02 1.74479E-03 0.138040 3 7 70.0 90.0 90.0 7.27456E-02 5.41013E-04 1.02107E-02 1.07517E-02 1.75714E-03 0.140362 2 1 80.0 0.0 180.0 6.08478E-02 4.73328E-04 1.93203E-02 1.97936E-02 1.53731E-03 0.317518 2 4 80.0 45.0 135.0 6.14822E-02 4.73945E-04 1.99452E-02 2.04192E-02 1.53931E-03 0.324406 2 7 80.0 90.0 90.0 6.38937E-02 4.74597E-04 2.10273E-02 2.15019E-02 1.54143E-03 0.329098 1 1 87.5 0.0 180.0 5.48427E-02 3.95202E-04 3.21442E-02 3.25394E-02 1.28356E-03 0.586116 1 4 87.5 45.0 135.0 5.53739E-02 3.75803E-04 3.38240E-02 3.41998E-02 1.22056E-03 0.610829 1 7 87.5 90.0 90.0 5.73589E-02 4.13875E-04 3.52063E-02 3.56202E-02 1.34421E-03 0.613790 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 675.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 2.868E-03 1.215E-01 4.369E-02 4.649E-02 5.200E-02 9.316E-03 6.348E+00 4.952E-04 1.608E-03 1 0.00 0.00 9.184E-04 2.142E-01 2.785E-03 2.927E-03 3.039E-03 3.126E-03 4.503E+00 3 13.04 5.00 1.388E-04 6.496E-03 2.980E-04 3.024E-04 3.084E-04 1.767E-02 3.786E+00 5 26.09 10.00 3.267E-05 2.274E-04 4.959E-05 4.964E-05 4.969E-05 8.795E-02 3.556E+00 7 39.13 15.00 8.676E-06 2.412E-05 1.248E-05 1.248E-05 1.248E-05 1.493E-01 3.523E+00 9 52.18 20.00 2.400E-06 5.664E-06 3.415E-06 3.415E-06 3.415E-06 1.616E-01 3.513E+00 11 65.22 25.00 6.792E-07 1.557E-06 9.615E-07 9.615E-07 9.615E-07 1.644E-01 3.508E+00 13 78.27 30.00 1.951E-07 4.420E-07 2.752E-07 2.752E-07 2.752E-07 1.657E-01 3.505E+00 15 91.31 35.00 5.664E-08 1.273E-07 7.970E-08 7.970E-08 7.970E-08 1.667E-01 3.502E+00 17 104.36 40.00 1.658E-08 3.706E-08 2.329E-08 2.329E-08 2.329E-08 1.674E-01 3.500E+00 19 117.40 45.00 4.887E-09 1.087E-08 6.852E-09 6.852E-09 6.852E-09 1.681E-01 3.498E+00 21 130.45 50.00 1.475E-09 3.209E-09 2.028E-09 2.028E-09 2.028E-09 1.717E-01 3.456E+00 Waveband 28 of 30 completed in 26.3 sec. * * * * * Output for wavelength band 29 (680.0 to 690.0 nm; nominal wavelength = 685.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 57.7 m at 685.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 680.0 nm to 690.0 nm: Ed(diffuse) = 2.816E-01 Ed(direct) = 8.472E-01 Ed(total) = 1.129E+00 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 2.822E-01 Ed(direct) = 0.000E+00 Ed(total) = 2.822E-01 Absorption Coefficients of Individual Components at 685.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.4860 0.0835 0.0000 0.0013 0.5708 3 13.086 5.000 0.4860 0.0835 0.0000 0.0013 0.5708 5 26.173 10.000 0.4860 0.0835 0.0000 0.0013 0.5708 7 39.259 15.000 0.4860 0.0835 0.0000 0.0013 0.5708 9 52.346 20.000 0.4860 0.0835 0.0000 0.0013 0.5708 11 65.432 25.000 0.4860 0.0835 0.0000 0.0013 0.5708 13 78.518 30.000 0.4860 0.0835 0.0000 0.0013 0.5708 15 91.605 35.000 0.4860 0.0835 0.0000 0.0013 0.5708 17 104.691 40.000 0.4860 0.0835 0.0000 0.0013 0.5708 19 117.778 45.000 0.4860 0.0835 0.0000 0.0013 0.5708 21 130.864 50.000 0.4860 0.0835 0.0000 0.0013 0.5708 Scattering Coefficients of Individual Components at 685.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0007 0.4797 1.5661 0.0000 2.0465 3 13.086 5.000 0.0007 0.4797 1.5661 0.0000 2.0465 5 26.173 10.000 0.0007 0.4797 1.5661 0.0000 2.0465 7 39.259 15.000 0.0007 0.4797 1.5661 0.0000 2.0465 9 52.346 20.000 0.0007 0.4797 1.5661 0.0000 2.0465 11 65.432 25.000 0.0007 0.4797 1.5661 0.0000 2.0465 13 78.518 30.000 0.0007 0.4797 1.5661 0.0000 2.0465 15 91.605 35.000 0.0007 0.4797 1.5661 0.0000 2.0465 17 104.691 40.000 0.0007 0.4797 1.5661 0.0000 2.0465 19 117.778 45.000 0.0007 0.4797 1.5661 0.0000 2.0465 21 130.864 50.000 0.0007 0.4797 1.5661 0.0000 2.0465 Backscattering Coefficients of Individual Components at 685.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00037 0.00672 0.00276 0.00000 0.00985 3 13.086 5.000 0.00037 0.00672 0.00276 0.00000 0.00985 5 26.173 10.000 0.00037 0.00672 0.00276 0.00000 0.00985 7 39.259 15.000 0.00037 0.00672 0.00276 0.00000 0.00985 9 52.346 20.000 0.00037 0.00672 0.00276 0.00000 0.00985 11 65.432 25.000 0.00037 0.00672 0.00276 0.00000 0.00985 13 78.518 30.000 0.00037 0.00672 0.00276 0.00000 0.00985 15 91.605 35.000 0.00037 0.00672 0.00276 0.00000 0.00985 17 104.691 40.000 0.00037 0.00672 0.00276 0.00000 0.00985 19 117.778 45.000 0.00037 0.00672 0.00276 0.00000 0.00985 21 130.864 50.000 0.00037 0.00672 0.00276 0.00000 0.00985 Summary of Inherent Optical Properties at 685.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.5708 2.0465 2.6173 0.7819 0.00985 0.00481 3 13.086 5.000 0.5708 2.0465 2.6173 0.7819 0.00985 0.00481 5 26.173 10.000 0.5708 2.0465 2.6173 0.7819 0.00985 0.00481 7 39.259 15.000 0.5708 2.0465 2.6173 0.7819 0.00985 0.00481 9 52.346 20.000 0.5708 2.0465 2.6173 0.7819 0.00985 0.00481 11 65.432 25.000 0.5708 2.0465 2.6173 0.7819 0.00985 0.00481 13 78.518 30.000 0.5708 2.0465 2.6173 0.7819 0.00985 0.00481 15 91.605 35.000 0.5708 2.0465 2.6173 0.7819 0.00985 0.00481 17 104.691 40.000 0.5708 2.0465 2.6173 0.7819 0.00985 0.00481 19 117.778 45.000 0.5708 2.0465 2.6173 0.7819 0.00985 0.00481 21 130.864 50.000 0.5708 2.0465 2.6173 0.7819 0.00985 0.00481 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.2653E-01 8 20.00 7.5350E-01 7 30.00 5.4120E-01 6 40.00 3.4836E-01 5 50.00 2.0506E-01 4 60.00 1.1321E-01 3 70.00 6.0367E-02 2 80.00 3.2270E-02 1 87.50 2.0227E-02 1 92.50 1.4451E-02 2 100.00 9.4931E-03 3 110.00 5.8918E-03 4 120.00 3.9401E-03 5 130.00 2.8751E-03 6 140.00 2.2814E-03 7 150.00 1.9456E-03 8 160.00 1.7582E-03 9 170.00 1.6630E-03 10 180.00 1.6308E-03 Asymptotic AOP values are MUu(inf) = 0.3142 MUd(inf) = 0.7759 MU(inf) = 0.7503 R(inf) = 0.0098 Lu(inf)/Ed(inf) = 0.001489 (1/sr) k(inf) = 0.7608 (1/m) absorp(check) = 0.5708 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 685.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 6.3433E-02 5.0010E-01 5.6354E-01 1.6837E-02 2.8220E-01 0.2654 0.5643 0.4709 5.9664E-02 1 0.00 0.00 1.0097E-02 3.2540E-01 3.3550E-01 4.0972E-03 2.6946E-01 0.4058 0.8281 0.7909 1.5206E-02 3 13.09 5.00 1.2497E-03 9.5655E-03 1.0815E-02 5.5625E-04 7.0193E-03 0.4451 0.7338 0.5976 7.9245E-02 5 26.17 10.00 2.6908E-04 5.8894E-04 8.5802E-04 1.2588E-04 3.6035E-04 0.4678 0.6119 0.2733 3.4933E-01 7 39.26 15.00 7.0520E-05 1.1212E-04 1.8264E-04 3.3217E-05 6.1559E-05 0.4710 0.5490 0.1552 5.3959E-01 9 52.35 20.00 1.9437E-05 2.9606E-05 4.9043E-05 9.1703E-06 1.5994E-05 0.4718 0.5402 0.1391 5.7337E-01 11 65.43 25.00 5.4890E-06 8.2768E-06 1.3766E-05 2.5919E-06 4.4587E-06 0.4722 0.5387 0.1356 5.8131E-01 13 78.52 30.00 1.5746E-06 2.3617E-06 3.9364E-06 7.4395E-07 1.2708E-06 0.4725 0.5381 0.1338 5.8543E-01 15 91.60 35.00 4.5682E-07 6.8262E-07 1.1394E-06 2.1593E-07 3.6701E-07 0.4727 0.5377 0.1326 5.8833E-01 17 104.69 40.00 1.3367E-07 1.9918E-07 3.3285E-07 6.3205E-08 1.0703E-07 0.4728 0.5373 0.1317 5.9056E-01 19 117.78 45.00 3.9384E-08 5.8550E-08 9.7933E-08 1.8627E-08 3.1448E-08 0.4730 0.5371 0.1309 5.9233E-01 21 130.86 50.00 1.1715E-08 1.7315E-08 2.9030E-08 5.5553E-09 9.2962E-09 0.4742 0.5369 0.1289 5.9759E-01 K-functions (units of 1/meter) at 685.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.32756 0.61170 0.60314 0.38213 0.69535 0.70019 0.44668 5.000 5.010 5.005 0.36000 0.67645 0.63983 0.33890 0.69907 0.73013 0.31555 10.000 10.010 10.005 0.27817 0.41734 0.37368 0.27524 0.45666 0.55419 0.27198 15.000 15.010 15.005 0.26138 0.28052 0.27313 0.26081 0.28827 0.32045 0.26008 20.000 20.010 20.005 0.25488 0.25812 0.25683 0.25469 0.25918 0.26522 0.25434 25.000 25.010 25.005 0.25108 0.25233 0.25183 0.25097 0.25276 0.25524 0.25074 30.000 30.010 30.005 0.24851 0.24938 0.24903 0.24840 0.24956 0.25120 0.24823 35.000 35.010 35.005 0.24657 0.24722 0.24696 0.24649 0.24734 0.24857 0.24635 40.000 40.010 40.005 0.24505 0.24555 0.24535 0.24499 0.24566 0.24662 0.24487 45.000 45.010 45.005 0.24380 0.24425 0.24407 0.24373 0.24434 0.24523 0.24354 50.000 50.010 50.005 0.23871 0.24306 0.24131 0.23623 0.24316 0.25345 0.22589 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 685.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.11334E-01 5.02403E-04 2.17506E-03 2.67746E-03 1.78030E-03 0.019536 9 1 10.0 0.0 180.0 1.03066E-01 5.08703E-04 2.03605E-03 2.54475E-03 1.80263E-03 0.019755 9 4 10.0 45.0 135.0 1.04550E-01 5.07472E-04 2.06509E-03 2.57256E-03 1.79827E-03 0.019752 9 7 10.0 90.0 90.0 1.09213E-01 5.08193E-04 2.15119E-03 2.65938E-03 1.80082E-03 0.019697 8 1 20.0 0.0 180.0 9.67308E-02 5.14695E-04 1.94503E-03 2.45972E-03 1.82386E-03 0.020108 8 4 20.0 45.0 135.0 9.84620E-02 5.11166E-04 1.98140E-03 2.49256E-03 1.81136E-03 0.020123 8 7 20.0 90.0 90.0 1.04567E-01 5.13326E-04 2.08952E-03 2.60285E-03 1.81901E-03 0.019983 7 1 30.0 0.0 180.0 9.03741E-02 5.24872E-04 1.92574E-03 2.45061E-03 1.85992E-03 0.021309 7 4 30.0 45.0 135.0 9.20035E-02 5.26370E-04 1.96304E-03 2.48941E-03 1.86523E-03 0.021337 7 7 30.0 90.0 90.0 9.81162E-02 5.26682E-04 2.08672E-03 2.61340E-03 1.86634E-03 0.021268 6 1 40.0 0.0 180.0 8.39083E-02 5.36919E-04 2.08282E-03 2.61974E-03 1.90261E-03 0.024823 6 4 40.0 45.0 135.0 8.53105E-02 5.38277E-04 2.11447E-03 2.65275E-03 1.90743E-03 0.024786 6 7 40.0 90.0 90.0 9.07270E-02 5.39426E-04 2.25606E-03 2.79549E-03 1.91150E-03 0.024866 5 1 50.0 0.0 180.0 7.72203E-02 5.54615E-04 2.67307E-03 3.22768E-03 1.96532E-03 0.034616 5 4 50.0 45.0 135.0 7.83748E-02 5.53081E-04 2.71885E-03 3.27193E-03 1.95989E-03 0.034690 5 7 50.0 90.0 90.0 8.28813E-02 5.54120E-04 2.87785E-03 3.43197E-03 1.96357E-03 0.034723 4 1 60.0 0.0 180.0 7.02709E-02 5.58902E-04 4.36746E-03 4.92636E-03 1.98051E-03 0.062152 4 4 60.0 45.0 135.0 7.11992E-02 5.56375E-04 4.41446E-03 4.97083E-03 1.97156E-03 0.062002 4 7 60.0 90.0 90.0 7.48183E-02 5.62712E-04 4.67570E-03 5.23841E-03 1.99402E-03 0.062494 3 1 70.0 0.0 180.0 6.30919E-02 5.34310E-04 8.68036E-03 9.21467E-03 1.89337E-03 0.137583 3 4 70.0 45.0 135.0 6.38286E-02 5.36893E-04 8.81090E-03 9.34779E-03 1.90252E-03 0.138040 3 7 70.0 90.0 90.0 6.66749E-02 5.40337E-04 9.35864E-03 9.89898E-03 1.91473E-03 0.140362 2 1 80.0 0.0 180.0 5.57700E-02 4.71327E-04 1.77080E-02 1.81793E-02 1.67018E-03 0.317518 2 4 80.0 45.0 135.0 5.63515E-02 4.71817E-04 1.82808E-02 1.87526E-02 1.67192E-03 0.324406 2 7 80.0 90.0 90.0 5.85617E-02 4.72137E-04 1.92726E-02 1.97447E-02 1.67305E-03 0.329098 1 1 87.5 0.0 180.0 5.02661E-02 3.91937E-04 2.94618E-02 2.98537E-02 1.38886E-03 0.586116 1 4 87.5 45.0 135.0 5.07529E-02 3.72615E-04 3.10014E-02 3.13740E-02 1.32039E-03 0.610829 1 7 87.5 90.0 90.0 5.25722E-02 4.09996E-04 3.22683E-02 3.26783E-02 1.45285E-03 0.613790 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 685.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 2.677E-03 1.113E-01 4.006E-02 4.263E-02 4.768E-02 9.488E-03 6.289E+00 5.024E-04 1.780E-03 1 0.00 0.00 9.318E-04 1.963E-01 2.683E-03 2.814E-03 2.914E-03 3.458E-03 4.397E+00 3 13.09 5.00 1.490E-04 5.754E-03 2.987E-04 3.025E-04 3.076E-04 2.122E-02 3.734E+00 5 26.17 10.00 3.550E-05 2.093E-04 5.307E-05 5.311E-05 5.315E-05 9.852E-02 3.546E+00 7 39.26 15.00 9.443E-06 2.497E-05 1.351E-05 1.351E-05 1.351E-05 1.534E-01 3.518E+00 9 52.35 20.00 2.613E-06 6.067E-06 3.703E-06 3.703E-06 3.703E-06 1.634E-01 3.509E+00 11 65.43 25.00 7.397E-07 1.675E-06 1.043E-06 1.043E-06 1.043E-06 1.659E-01 3.504E+00 13 78.52 30.00 2.125E-07 4.759E-07 2.986E-07 2.986E-07 2.986E-07 1.673E-01 3.500E+00 15 91.60 35.00 6.174E-08 1.372E-07 8.651E-08 8.651E-08 8.651E-08 1.682E-01 3.498E+00 17 104.69 40.00 1.808E-08 3.995E-08 2.529E-08 2.529E-08 2.529E-08 1.690E-01 3.495E+00 19 117.78 45.00 5.332E-09 1.173E-08 7.444E-09 7.444E-09 7.444E-09 1.696E-01 3.493E+00 21 130.86 50.00 1.609E-09 3.463E-09 2.205E-09 2.205E-09 2.205E-09 1.730E-01 3.454E+00 Waveband 29 of 30 completed in 26.5 sec. * * * * * Output for wavelength band 30 (690.0 to 700.0 nm; nominal wavelength = 695.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 57.6 m at 695.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 690.0 nm to 700.0 nm: Ed(diffuse) = 2.700E-01 Ed(direct) = 8.188E-01 Ed(total) = 1.089E+00 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 2.722E-01 Ed(direct) = 0.000E+00 Ed(total) = 2.722E-01 Absorption Coefficients of Individual Components at 695.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.5590 0.0425 0.0000 0.0011 0.6026 3 13.245 5.000 0.5590 0.0425 0.0000 0.0011 0.6026 5 26.491 10.000 0.5590 0.0425 0.0000 0.0011 0.6026 7 39.736 15.000 0.5590 0.0425 0.0000 0.0011 0.6026 9 52.982 20.000 0.5590 0.0425 0.0000 0.0011 0.6026 11 66.227 25.000 0.5590 0.0425 0.0000 0.0011 0.6026 13 79.473 30.000 0.5590 0.0425 0.0000 0.0011 0.6026 15 92.718 35.000 0.5590 0.0425 0.0000 0.0011 0.6026 17 105.964 40.000 0.5590 0.0425 0.0000 0.0011 0.6026 19 119.209 45.000 0.5590 0.0425 0.0000 0.0011 0.6026 21 132.454 50.000 0.5590 0.0425 0.0000 0.0011 0.6026 Scattering Coefficients of Individual Components at 695.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0007 0.4797 1.5661 0.0000 2.0465 3 13.245 5.000 0.0007 0.4797 1.5661 0.0000 2.0465 5 26.491 10.000 0.0007 0.4797 1.5661 0.0000 2.0465 7 39.736 15.000 0.0007 0.4797 1.5661 0.0000 2.0465 9 52.982 20.000 0.0007 0.4797 1.5661 0.0000 2.0465 11 66.227 25.000 0.0007 0.4797 1.5661 0.0000 2.0465 13 79.473 30.000 0.0007 0.4797 1.5661 0.0000 2.0465 15 92.718 35.000 0.0007 0.4797 1.5661 0.0000 2.0465 17 105.964 40.000 0.0007 0.4797 1.5661 0.0000 2.0465 19 119.209 45.000 0.0007 0.4797 1.5661 0.0000 2.0465 21 132.454 50.000 0.0007 0.4797 1.5661 0.0000 2.0465 Backscattering Coefficients of Individual Components at 695.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00035 0.00672 0.00276 0.00000 0.00983 3 13.245 5.000 0.00035 0.00672 0.00276 0.00000 0.00983 5 26.491 10.000 0.00035 0.00672 0.00276 0.00000 0.00983 7 39.736 15.000 0.00035 0.00672 0.00276 0.00000 0.00983 9 52.982 20.000 0.00035 0.00672 0.00276 0.00000 0.00983 11 66.227 25.000 0.00035 0.00672 0.00276 0.00000 0.00983 13 79.473 30.000 0.00035 0.00672 0.00276 0.00000 0.00983 15 92.718 35.000 0.00035 0.00672 0.00276 0.00000 0.00983 17 105.964 40.000 0.00035 0.00672 0.00276 0.00000 0.00983 19 119.209 45.000 0.00035 0.00672 0.00276 0.00000 0.00983 21 132.454 50.000 0.00035 0.00672 0.00276 0.00000 0.00983 Summary of Inherent Optical Properties at 695.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.6026 2.0465 2.6491 0.7725 0.00983 0.00480 3 13.245 5.000 0.6026 2.0465 2.6491 0.7725 0.00983 0.00480 5 26.491 10.000 0.6026 2.0465 2.6491 0.7725 0.00983 0.00480 7 39.736 15.000 0.6026 2.0465 2.6491 0.7725 0.00983 0.00480 9 52.982 20.000 0.6026 2.0465 2.6491 0.7725 0.00983 0.00480 11 66.227 25.000 0.6026 2.0465 2.6491 0.7725 0.00983 0.00480 13 79.473 30.000 0.6026 2.0465 2.6491 0.7725 0.00983 0.00480 15 92.718 35.000 0.6026 2.0465 2.6491 0.7725 0.00983 0.00480 17 105.964 40.000 0.6026 2.0465 2.6491 0.7725 0.00983 0.00480 19 119.209 45.000 0.6026 2.0465 2.6491 0.7725 0.00983 0.00480 21 132.454 50.000 0.6026 2.0465 2.6491 0.7725 0.00983 0.00480 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.2435E-01 8 20.00 7.4700E-01 7 30.00 5.3129E-01 6 40.00 3.3773E-01 5 50.00 1.9601E-01 4 60.00 1.0666E-01 3 70.00 5.6104E-02 2 80.00 2.9649E-02 1 87.50 1.8460E-02 1 92.50 1.3149E-02 2 100.00 8.6129E-03 3 110.00 5.3357E-03 4 120.00 3.5700E-03 5 130.00 2.6106E-03 6 140.00 2.0773E-03 7 150.00 1.7763E-03 8 160.00 1.6085E-03 9 170.00 1.5234E-03 10 180.00 1.4946E-03 Asymptotic AOP values are MUu(inf) = 0.3144 MUd(inf) = 0.7805 MU(inf) = 0.7564 R(inf) = 0.0091 Lu(inf)/Ed(inf) = 0.001394 (1/sr) k(inf) = 0.7967 (1/m) absorp(check) = 0.6026 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 695.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 6.0004E-02 4.8238E-01 5.4238E-01 1.5616E-02 2.7220E-01 0.2602 0.5643 0.4731 5.7368E-02 1 0.00 0.00 6.8127E-03 3.1156E-01 3.1838E-01 2.6076E-03 2.5918E-01 0.3828 0.8319 0.8059 1.0061E-02 3 13.25 5.00 4.8937E-04 6.8604E-03 7.3498E-03 2.0776E-04 5.2115E-03 0.4246 0.7596 0.6808 3.9867E-02 5 26.49 10.00 8.9576E-05 2.4937E-04 3.3895E-04 4.1859E-05 1.6274E-04 0.4673 0.6526 0.3566 2.5722E-01 7 39.74 15.00 2.3288E-05 3.7039E-05 6.0327E-05 1.1005E-05 2.0476E-05 0.4725 0.5528 0.1570 5.3744E-01 9 52.98 20.00 6.4452E-06 9.6064E-06 1.6052E-05 3.0514E-06 5.1725E-06 0.4734 0.5384 0.1321 5.8992E-01 11 66.23 25.00 1.8284E-06 2.6963E-06 4.5247E-06 8.6640E-07 1.4472E-06 0.4739 0.5367 0.1284 5.9867E-01 13 79.47 30.00 5.2682E-07 7.7307E-07 1.2999E-06 2.4979E-07 4.1450E-07 0.4741 0.5362 0.1267 6.0263E-01 15 92.72 35.00 1.5349E-07 2.2447E-07 3.7796E-07 7.2811E-08 1.2027E-07 0.4744 0.5358 0.1256 6.0537E-01 17 105.96 40.00 4.5101E-08 6.5783E-08 1.1088E-07 2.1402E-08 3.5232E-08 0.4745 0.5356 0.1247 6.0748E-01 19 119.21 45.00 1.3342E-08 1.9419E-08 3.2761E-08 6.3334E-09 1.0397E-08 0.4747 0.5354 0.1240 6.0918E-01 21 132.45 50.00 3.9774E-09 5.7669E-09 9.7443E-09 1.8913E-09 3.0865E-09 0.4755 0.5352 0.1227 6.1277E-01 K-functions (units of 1/meter) at 695.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.33313 0.65001 0.64322 0.44047 0.73721 0.74023 0.56283 5.000 5.010 5.005 0.43716 0.75860 0.73716 0.39805 0.77003 0.78550 0.35232 10.000 10.010 10.005 0.28491 0.51733 0.45586 0.27942 0.56573 0.66506 0.27376 15.000 15.010 15.005 0.26078 0.29331 0.28075 0.26011 0.30675 0.36096 0.25921 20.000 20.010 20.005 0.25399 0.25783 0.25629 0.25376 0.25921 0.26704 0.25337 25.000 25.010 25.005 0.25026 0.25148 0.25099 0.25008 0.25178 0.25432 0.24981 30.000 30.010 30.005 0.24770 0.24845 0.24815 0.24754 0.24860 0.25022 0.24732 35.000 35.010 35.005 0.24572 0.24631 0.24607 0.24564 0.24643 0.24764 0.24547 40.000 40.010 40.005 0.24423 0.24469 0.24450 0.24416 0.24477 0.24573 0.24401 45.000 45.010 45.005 0.24300 0.24338 0.24323 0.24293 0.24345 0.24427 0.24275 50.000 50.010 50.005 0.23975 0.24228 0.24124 0.23821 0.24234 0.24888 0.22950 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 695.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.07387E-01 2.87491E-04 2.09796E-03 2.38545E-03 1.05619E-03 0.019536 9 1 10.0 0.0 180.0 9.94130E-02 2.91585E-04 1.96387E-03 2.25546E-03 1.07123E-03 0.019755 9 4 10.0 45.0 135.0 1.00844E-01 2.90900E-04 1.99189E-03 2.28278E-03 1.06871E-03 0.019752 9 7 10.0 90.0 90.0 1.05342E-01 2.91368E-04 2.07493E-03 2.36630E-03 1.07043E-03 0.019697 8 1 20.0 0.0 180.0 9.33019E-02 2.96181E-04 1.87608E-03 2.17226E-03 1.08811E-03 0.020108 8 4 20.0 45.0 135.0 9.49717E-02 2.94182E-04 1.91116E-03 2.20534E-03 1.08077E-03 0.020123 8 7 20.0 90.0 90.0 1.00861E-01 2.95531E-04 2.01545E-03 2.31098E-03 1.08572E-03 0.019983 7 1 30.0 0.0 180.0 8.71705E-02 3.03686E-04 1.85747E-03 2.16116E-03 1.11568E-03 0.021309 7 4 30.0 45.0 135.0 8.87421E-02 3.04603E-04 1.89346E-03 2.19806E-03 1.11905E-03 0.021337 7 7 30.0 90.0 90.0 9.46381E-02 3.04956E-04 2.01275E-03 2.31770E-03 1.12035E-03 0.021268 6 1 40.0 0.0 180.0 8.09339E-02 3.13830E-04 2.00899E-03 2.32282E-03 1.15295E-03 0.024823 6 4 40.0 45.0 135.0 8.22864E-02 3.14719E-04 2.03952E-03 2.35424E-03 1.15622E-03 0.024786 6 7 40.0 90.0 90.0 8.75108E-02 3.15699E-04 2.17609E-03 2.49179E-03 1.15982E-03 0.024866 5 1 50.0 0.0 180.0 7.44829E-02 3.28117E-04 2.57831E-03 2.90643E-03 1.20544E-03 0.034616 5 4 50.0 45.0 135.0 7.55966E-02 3.27360E-04 2.62247E-03 2.94983E-03 1.20266E-03 0.034690 5 7 50.0 90.0 90.0 7.99433E-02 3.28446E-04 2.77584E-03 3.10428E-03 1.20665E-03 0.034723 4 1 60.0 0.0 180.0 6.77800E-02 3.35060E-04 4.21264E-03 4.54770E-03 1.23094E-03 0.062152 4 4 60.0 45.0 135.0 6.86753E-02 3.33732E-04 4.25798E-03 4.59171E-03 1.22607E-03 0.062002 4 7 60.0 90.0 90.0 7.21661E-02 3.38164E-04 4.50995E-03 4.84812E-03 1.24235E-03 0.062494 3 1 70.0 0.0 180.0 6.08554E-02 3.25915E-04 8.37265E-03 8.69857E-03 1.19735E-03 0.137583 3 4 70.0 45.0 135.0 6.15660E-02 3.27715E-04 8.49857E-03 8.82628E-03 1.20396E-03 0.138040 3 7 70.0 90.0 90.0 6.43114E-02 3.30668E-04 9.02690E-03 9.35757E-03 1.21481E-03 0.140362 2 1 80.0 0.0 180.0 5.37930E-02 2.92343E-04 1.70803E-02 1.73726E-02 1.07401E-03 0.317518 2 4 80.0 45.0 135.0 5.43539E-02 2.92944E-04 1.76328E-02 1.79257E-02 1.07622E-03 0.324406 2 7 80.0 90.0 90.0 5.64858E-02 2.93932E-04 1.85894E-02 1.88833E-02 1.07985E-03 0.329098 1 1 87.5 0.0 180.0 4.84842E-02 2.47500E-04 2.84174E-02 2.86649E-02 9.09269E-04 0.586116 1 4 87.5 45.0 135.0 4.89538E-02 2.35497E-04 2.99024E-02 3.01379E-02 8.65171E-04 0.610829 1 7 87.5 90.0 90.0 5.07087E-02 2.60032E-04 3.11245E-02 3.13845E-02 9.55306E-04 0.613790 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 695.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 2.385E-03 1.074E-01 3.857E-02 4.105E-02 4.592E-02 8.764E-03 6.546E+00 2.875E-04 1.056E-03 1 0.00 0.00 5.330E-04 1.894E-01 1.961E-03 2.077E-03 2.174E-03 2.057E-03 4.892E+00 3 13.25 5.00 5.308E-05 4.539E-03 1.369E-04 1.397E-04 1.435E-04 1.018E-02 3.914E+00 5 26.49 10.00 1.184E-05 1.117E-04 1.788E-05 1.790E-05 1.793E-05 7.274E-02 3.536E+00 7 39.74 15.00 3.150E-06 8.639E-06 4.424E-06 4.424E-06 4.424E-06 1.538E-01 3.494E+00 9 52.98 20.00 8.758E-07 1.951E-06 1.216E-06 1.216E-06 1.216E-06 1.693E-01 3.484E+00 11 66.23 25.00 2.491E-07 5.393E-07 3.439E-07 3.439E-07 3.439E-07 1.721E-01 3.478E+00 13 79.47 30.00 7.190E-08 1.540E-07 9.892E-08 9.892E-08 9.892E-08 1.735E-01 3.474E+00 15 92.72 35.00 2.098E-08 4.462E-08 2.878E-08 2.878E-08 2.878E-08 1.744E-01 3.471E+00 17 105.96 40.00 6.171E-09 1.306E-08 8.448E-09 8.448E-09 8.448E-09 1.751E-01 3.468E+00 19 119.21 45.00 1.827E-09 3.850E-09 2.497E-09 2.497E-09 2.497E-09 1.758E-01 3.466E+00 21 132.45 50.00 5.505E-10 1.142E-09 7.423E-10 7.423E-10 7.423E-10 1.784E-01 3.435E+00 Waveband 30 of 30 completed in 27.0 sec. Energy Eo as a function of depth and wavelength Units are W/m^2 [values are integrated over the wavelength bands] depth 405.0 415.0 425.0 435.0 445.0 455.0 465.0 475.0 485.0 495.0 505.0 515.0 525.0 535.0 545.0 555.0 565.0 575.0 585.0 595.0 605.0 615.0 625.0 635.0 645.0 655.0 665.0 675.0 685.0 695.0 in air 5.650E+00 6.003E+00 5.758E+00 5.930E+00 7.007E+00 7.508E+00 7.483E+00 7.606E+00 7.377E+00 7.496E+00 7.370E+00 7.095E+00 7.260E+00 7.346E+00 7.251E+00 7.209E+00 7.155E+00 7.152E+00 6.950E+00 6.664E+00 6.820E+00 6.655E+00 6.580E+00 6.496E+00 6.290E+00 6.006E+00 6.252E+00 6.145E+00 5.635E+00 5.424E+00 0.0 3.482E+00 3.695E+00 3.553E+00 3.661E+00 4.355E+00 4.710E+00 4.729E+00 4.854E+00 4.751E+00 4.858E+00 4.801E+00 4.617E+00 4.758E+00 4.843E+00 4.790E+00 4.773E+00 4.765E+00 4.715E+00 4.449E+00 4.132E+00 4.112E+00 4.000E+00 3.941E+00 3.877E+00 3.740E+00 3.550E+00 3.678E+00 3.648E+00 3.355E+00 3.184E+00 5.0 5.973E-01 6.376E-01 6.552E-01 6.959E-01 9.383E-01 1.172E+00 1.288E+00 1.475E+00 1.581E+00 1.710E+00 1.765E+00 1.692E+00 1.838E+00 1.949E+00 1.960E+00 1.986E+00 2.056E+00 1.925E+00 1.470E+00 9.488E-01 5.295E-01 4.715E-01 4.145E-01 3.589E-01 2.990E-01 2.055E-01 1.288E-01 1.181E-01 1.082E-01 7.350E-02 10.0 8.096E-02 8.691E-02 9.509E-02 1.039E-01 1.578E-01 2.258E-01 2.705E-01 3.443E-01 4.028E-01 4.597E-01 4.950E-01 4.728E-01 5.408E-01 5.968E-01 6.103E-01 6.282E-01 6.739E-01 5.975E-01 3.714E-01 1.695E-01 5.494E-02 4.504E-02 3.560E-02 2.737E-02 1.992E-02 1.028E-02 5.298E-03 8.430E-03 8.580E-03 3.389E-03 15.0 1.084E-02 1.170E-02 1.361E-02 1.530E-02 2.610E-02 4.273E-02 5.572E-02 7.865E-02 1.002E-01 1.207E-01 1.354E-01 1.289E-01 1.551E-01 1.780E-01 1.850E-01 1.934E-01 2.149E-01 1.806E-01 9.173E-02 2.979E-02 5.693E-03 4.310E-03 3.077E-03 2.118E-03 1.366E-03 5.839E-04 5.667E-04 1.701E-03 1.826E-03 6.033E-04 20.0 1.448E-03 1.571E-03 1.945E-03 2.248E-03 4.308E-03 8.063E-03 1.144E-02 1.790E-02 2.485E-02 3.153E-02 3.688E-02 3.499E-02 4.427E-02 5.282E-02 5.579E-02 5.926E-02 6.817E-02 5.433E-02 2.257E-02 5.228E-03 6.003E-04 4.228E-04 2.762E-04 1.748E-04 1.055E-04 5.227E-05 1.303E-04 4.534E-04 4.904E-04 1.605E-04 25.0 1.933E-04 2.110E-04 2.777E-04 3.301E-04 7.108E-04 1.521E-03 2.348E-03 4.071E-03 6.156E-03 8.234E-03 1.003E-02 9.489E-03 1.262E-02 1.566E-02 1.681E-02 1.814E-02 2.161E-02 1.633E-02 5.547E-03 9.188E-04 6.615E-05 4.425E-05 2.751E-05 1.737E-05 1.139E-05 9.389E-06 3.596E-05 1.271E-04 1.377E-04 4.525E-05 30.0 2.582E-05 2.833E-05 3.967E-05 4.848E-05 1.173E-04 2.868E-04 4.817E-04 9.257E-04 1.525E-03 2.150E-03 2.730E-03 2.573E-03 3.600E-03 4.643E-03 5.064E-03 5.551E-03 6.845E-03 4.904E-03 1.364E-03 1.619E-04 8.020E-06 5.342E-06 3.433E-06 2.474E-06 2.022E-06 2.440E-06 1.028E-05 3.633E-05 3.936E-05 1.300E-05 35.0 3.449E-06 3.805E-06 5.665E-06 7.120E-06 1.935E-05 5.408E-05 9.882E-05 2.105E-04 3.776E-04 5.613E-04 7.427E-04 6.976E-04 1.026E-03 1.376E-03 1.525E-03 1.699E-03 2.169E-03 1.473E-03 3.352E-04 2.863E-05 1.153E-06 8.166E-07 5.886E-07 5.112E-07 4.985E-07 6.970E-07 2.979E-06 1.051E-05 1.139E-05 3.780E-06 40.0 4.606E-07 5.109E-07 8.089E-07 1.046E-06 3.192E-06 1.020E-05 2.027E-05 4.786E-05 9.350E-05 1.465E-04 2.021E-04 1.891E-04 2.926E-04 4.080E-04 4.594E-04 5.197E-04 6.871E-04 4.426E-04 8.238E-05 5.091E-06 2.064E-07 1.609E-07 1.307E-07 1.294E-07 1.382E-07 2.035E-07 8.709E-07 3.069E-06 3.328E-06 1.109E-06 45.0 6.151E-08 6.861E-08 1.155E-07 1.535E-07 5.265E-07 1.923E-06 4.159E-06 1.088E-05 2.316E-05 3.826E-05 5.497E-05 5.128E-05 8.342E-05 1.209E-04 1.384E-04 1.590E-04 2.177E-04 1.329E-04 2.025E-05 9.127E-07 4.472E-08 3.773E-08 3.307E-08 3.525E-08 3.954E-08 5.984E-08 2.563E-07 9.025E-07 9.793E-07 3.276E-07 50.0 8.215E-09 9.213E-09 1.650E-08 2.255E-08 8.686E-08 3.626E-07 8.532E-07 2.474E-06 5.734E-06 9.987E-06 1.495E-05 1.390E-05 2.378E-05 3.585E-05 4.168E-05 4.866E-05 6.895E-05 3.993E-05 4.979E-06 1.655E-07 1.090E-08 9.609E-09 8.802E-09 9.829E-09 1.143E-08 1.767E-08 7.600E-08 2.674E-07 2.903E-07 9.744E-08 Quantum Eo as a function of depth and wavelength Units are (micromol photons)/(m^2 s) [values are integrated over the wavelength bands] depth 405.0 415.0 425.0 435.0 445.0 455.0 465.0 475.0 485.0 495.0 505.0 515.0 525.0 535.0 545.0 555.0 565.0 575.0 585.0 595.0 605.0 615.0 625.0 635.0 645.0 655.0 665.0 675.0 685.0 695.0 in air 1.913E+01 2.082E+01 2.045E+01 2.156E+01 2.606E+01 2.855E+01 2.908E+01 3.020E+01 2.990E+01 3.101E+01 3.111E+01 3.054E+01 3.185E+01 3.285E+01 3.303E+01 3.344E+01 3.379E+01 3.437E+01 3.398E+01 3.314E+01 3.449E+01 3.421E+01 3.437E+01 3.448E+01 3.391E+01 3.288E+01 3.475E+01 3.467E+01 3.226E+01 3.151E+01 0.0 1.179E+01 1.282E+01 1.262E+01 1.331E+01 1.620E+01 1.791E+01 1.838E+01 1.927E+01 1.926E+01 2.010E+01 2.027E+01 1.988E+01 2.088E+01 2.165E+01 2.182E+01 2.214E+01 2.250E+01 2.266E+01 2.175E+01 2.055E+01 2.079E+01 2.056E+01 2.059E+01 2.058E+01 2.016E+01 1.944E+01 2.044E+01 2.058E+01 1.921E+01 1.849E+01 5.0 2.022E+00 2.212E+00 2.328E+00 2.530E+00 3.490E+00 4.455E+00 5.004E+00 5.857E+00 6.410E+00 7.075E+00 7.450E+00 7.282E+00 8.065E+00 8.714E+00 8.930E+00 9.211E+00 9.707E+00 9.250E+00 7.186E+00 4.718E+00 2.678E+00 2.424E+00 2.165E+00 1.905E+00 1.612E+00 1.125E+00 7.161E-01 6.663E-01 6.192E-01 4.269E-01 10.0 2.741E-01 3.015E-01 3.378E-01 3.778E-01 5.867E-01 8.587E-01 1.051E+00 1.367E+00 1.633E+00 1.902E+00 2.089E+00 2.035E+00 2.373E+00 2.668E+00 2.780E+00 2.914E+00 3.182E+00 2.872E+00 1.816E+00 8.428E-01 2.778E-01 2.315E-01 1.859E-01 1.453E-01 1.074E-01 5.629E-02 2.945E-02 4.756E-02 4.912E-02 1.969E-02 15.0 3.668E-02 4.057E-02 4.835E-02 5.562E-02 9.708E-02 1.625E-01 2.166E-01 3.122E-01 4.064E-01 4.992E-01 5.715E-01 5.548E-01 6.805E-01 7.958E-01 8.425E-01 8.972E-01 1.015E+00 8.680E-01 4.485E-01 1.481E-01 2.879E-02 2.216E-02 1.607E-02 1.124E-02 7.361E-03 3.197E-03 3.150E-03 9.597E-03 1.046E-02 3.504E-03 20.0 4.900E-03 5.450E-03 6.908E-03 8.172E-03 1.602E-02 3.066E-02 4.447E-02 7.106E-02 1.007E-01 1.305E-01 1.557E-01 1.506E-01 1.943E-01 2.362E-01 2.541E-01 2.749E-01 3.219E-01 2.611E-01 1.103E-01 2.600E-02 3.036E-03 2.173E-03 1.443E-03 9.277E-04 5.687E-04 2.862E-04 7.244E-04 2.558E-03 2.808E-03 9.324E-04 25.0 6.545E-04 7.319E-04 9.866E-04 1.200E-03 2.644E-03 5.783E-03 9.125E-03 1.616E-02 2.495E-02 3.407E-02 4.236E-02 4.084E-02 5.540E-02 7.004E-02 7.657E-02 8.415E-02 1.020E-01 7.846E-02 2.712E-02 4.569E-03 3.345E-04 2.275E-04 1.437E-04 9.220E-05 6.142E-05 5.140E-05 1.999E-04 7.171E-04 7.881E-04 2.628E-04 30.0 8.741E-05 9.828E-05 1.409E-04 1.763E-04 4.362E-04 1.091E-03 1.872E-03 3.675E-03 6.180E-03 8.895E-03 1.152E-02 1.107E-02 1.580E-02 2.076E-02 2.307E-02 2.575E-02 3.233E-02 2.357E-02 6.667E-03 8.050E-04 4.056E-05 2.746E-05 1.794E-05 1.313E-05 1.090E-05 1.336E-05 5.714E-05 2.050E-04 2.254E-04 7.551E-05 35.0 1.167E-05 1.320E-05 2.012E-05 2.588E-05 7.196E-05 2.056E-04 3.841E-04 8.356E-04 1.530E-03 2.322E-03 3.135E-03 3.003E-03 4.503E-03 6.155E-03 6.948E-03 7.879E-03 1.024E-02 7.080E-03 1.639E-03 1.424E-04 5.830E-06 4.198E-06 3.075E-06 2.713E-06 2.688E-06 3.816E-06 1.656E-05 5.930E-05 6.524E-05 2.195E-05 40.0 1.559E-06 1.772E-06 2.873E-06 3.801E-06 1.187E-05 3.878E-05 7.879E-05 1.900E-04 3.790E-04 6.062E-04 8.529E-04 8.141E-04 1.284E-03 1.824E-03 2.093E-03 2.411E-03 3.244E-03 2.127E-03 4.028E-04 2.532E-05 1.044E-06 8.271E-07 6.825E-07 6.867E-07 7.448E-07 1.114E-06 4.840E-06 1.731E-05 1.906E-05 6.441E-06 45.0 2.082E-07 2.380E-07 4.103E-07 5.582E-07 1.958E-06 7.312E-06 1.616E-05 4.320E-05 9.386E-05 1.583E-04 2.320E-04 2.207E-04 3.660E-04 5.408E-04 6.304E-04 7.377E-04 1.028E-03 6.389E-04 9.901E-05 4.539E-06 2.262E-07 1.939E-07 1.728E-07 1.871E-07 2.132E-07 3.276E-07 1.425E-06 5.092E-06 5.607E-06 1.903E-06 50.0 2.781E-08 3.196E-08 5.860E-08 8.198E-08 3.231E-07 1.379E-06 3.316E-06 9.823E-06 2.325E-05 4.132E-05 6.312E-05 5.985E-05 1.044E-04 1.603E-04 1.899E-04 2.257E-04 3.256E-04 1.919E-04 2.434E-05 8.232E-07 5.509E-08 4.939E-08 4.598E-08 5.217E-08 6.160E-08 9.672E-08 4.224E-07 1.509E-06 1.662E-06 5.660E-07 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 9.2239E+02 4.5947E+02 0.00 5.7660E+02 4.4290E+02 5.00 1.3623E+02 8.5535E+01 10.00 3.3412E+01 2.0296E+01 15.00 8.8124E+00 5.2901E+00 20.00 2.4194E+00 1.4439E+00 25.00 6.8071E-01 4.0480E-01 30.00 1.9468E-01 1.1548E-01 35.00 5.6332E-02 3.3353E-02 40.00 1.6446E-02 9.7229E-03 45.00 4.8354E-03 2.8552E-03 50.00 1.4300E-03 8.4353E-04 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 0.26411 5.000 5.010 5.005 0.29169 10.000 10.010 10.005 0.27229 15.000 15.010 15.005 0.26182 20.000 20.010 20.005 0.25571 25.000 25.010 25.005 0.25179 30.000 30.010 30.005 0.24907 35.000 35.010 35.005 0.24705 40.000 40.010 40.005 0.24548 45.000 45.010 45.005 0.24420 50.000 50.010 50.005 0.24313 CIE 1931 chromaticity coordinates (x,y) and (il)luminance Y for selected quantities. Output is (x,y,Y). Y is illuminance in lm/m^2 for Ed and Eu; Y is luminance in lm/(m^2 sr) for Lu and Lw depth Ed Eu Lu Lw in air (0.328, 0.340, 2.558E+04) (0.321, 0.352, 1.757E+03) (0.316, 0.359, 2.999E+02) (0.289, 0.402, 1.028E+02) 0.00 (0.327, 0.341, 2.481E+04) (0.292, 0.401, 9.896E+02) (0.289, 0.402, 1.904E+02) 5.00 (0.290, 0.406, 6.845E+03) (0.281, 0.462, 3.878E+02) (0.279, 0.463, 6.046E+01) 10.00 (0.281, 0.466, 1.896E+03) (0.283, 0.512, 1.141E+02) (0.282, 0.512, 1.750E+01) 15.00 (0.283, 0.514, 5.405E+02) (0.289, 0.548, 3.325E+01) (0.289, 0.548, 5.087E+00) 20.00 (0.289, 0.549, 1.567E+02) (0.296, 0.574, 9.750E+00) (0.296, 0.574, 1.491E+00) 25.00 (0.296, 0.575, 4.590E+01) (0.303, 0.593, 2.877E+00) (0.303, 0.593, 4.399E-01) 30.00 (0.302, 0.593, 1.354E+01) (0.309, 0.606, 8.535E-01) (0.309, 0.606, 1.305E-01) 35.00 (0.308, 0.606, 4.016E+00) (0.314, 0.615, 2.543E-01) (0.315, 0.615, 3.889E-02) 40.00 (0.314, 0.615, 1.196E+00) (0.320, 0.621, 7.605E-02) (0.320, 0.621, 1.163E-02) 45.00 (0.319, 0.622, 3.576E-01) (0.324, 0.626, 2.281E-02) (0.325, 0.626, 3.490E-03) 50.00 (0.324, 0.626, 1.073E-01) (0.329, 0.629, 6.863E-03) (0.329, 0.628, 1.050E-03) The final depth-averaged photopic alpha and K are alpha = 2.1987 1/m and K = 0.1979 1/m The final estimate for the Secchi depth is z_SD = 3.34 m Run completed on 07/20/2011 at 21:44:06.5 Total (wall clock) run time = 666.1 sec