======================================================== | | | HYDROLIGHT Version 5.1.0 (MAIN CODE) | | Copyright (c) 2009 by Curtis D. Mobley | | | | This copy of HE5 is licensed solely to | | Curtis Mobley, Sequoia Scientific Inc. | | | | S/N XXXXX-XXXXX-XXXXX | | | | 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: HE5.1: User's Guide Example 4 (12/03/2009 16:25) Run started on 12/03/2009 at 16:25:42.5 The radiance distribution is computed on the following (Theta,Phi,Depth,Wavelength) grid: I Theta Mu J Phi K zeta z L Lambda (deg) (deg) (m) (nm) 1 87.500 0.0436 1 0.00 1 0.000 1 412.00 2 80.000 0.1730 2 15.00 2 0.050 2 427.50 3 70.000 0.3407 3 30.00 3 0.500 3 443.00 4 60.000 0.4981 4 45.00 4 0.550 4 459.00 5 50.000 0.6403 5 60.00 5 1.000 5 472.50 6 40.000 0.7631 6 75.00 6 1.050 6 490.00 7 30.000 0.8627 7 90.00 7 1.500 7 510.00 8 20.000 0.9361 8 105.00 8 1.550 8 527.50 9 10.000 0.9811 9 120.00 9 2.000 9 540.00 10 0.000 0.9981 10 135.00 10 2.050 10 555.00 11 150.00 11 2.500 11 572.50 12 165.00 12 2.550 12 590.00 13 180.00 13 3.000 13 610.00 14 195.00 14 3.050 14 630.00 15 210.00 15 3.500 15 650.00 16 225.00 16 3.550 16 670.00 17 240.00 17 4.000 17 690.00 18 255.00 18 4.050 18 710.00 19 270.00 19 4.500 19 732.50 20 285.00 20 4.550 20 765.00 21 300.00 21 5.000 22 315.00 22 5.050 23 330.00 23 5.500 24 345.00 24 5.550 25 6.000 26 6.050 27 6.500 28 6.550 29 7.000 30 7.050 31 7.500 32 7.550 33 7.950 34 8.000 ***** BEGIN IOP MODEL SPECIFICATIONS ***** The IOP routine "abCASE2" is being used: Absorption and scattering coefficients for case 1 or 2 water are used. component 1 is pure water component 2 is pigmented particles (Chl) component 3 is CDOM (yellow matter) component 4 is mineral particles Pure water a and b values are obtained from the file: ..\data\H2OabDefaults.txt (Linear interpolation is used to define values at all wavelengths) The data file header records from ..\data\H2OabDefaults.txt are: Default "pure water" absorption (a) and scattering (b) coefficients. Based on: 200-300 nm: R.C. Smith and K. Baker, 1981. Appl. Optics 20(2), 177-184. 191 records read The phase function for component 1 comes from a file titled pure sea water (Rayleigh-like phase function); standard quad partition; 7 Sept 98 Absorption for component 2 calculated from the Prieur-Sathyenranath-Morel model 141 records read The chlorophyll profile is determined from a constant background plus a Gaussian: Chl(z) = Cback + Cmax*exp[0.5((z-zmax)/zsd)^2] where Cback = 0.500 Cmax = 2.500 zmax = 5.000 zsd = 2.000 Scattering for component 2 calculated using a Linear model: b = 0.5000 X^(0.6200) * (m*wavenm + i)/(m*wave0 + i), where wave0 = 550. m = -.0011 and i = 1.6252 The phase function for component 2 will be chosen to have a bb/b ratio of 0.0050 A subroutine will be called to provide aCDOM as a function of depth and wavelength CDOM absorption is modeled as an exponential in wavelength: aCDOM(z,lambda) = aCDOM(z,lambda0)*exp[-gamma*(lambda/lambda0)] where aCDOM(lambda0) = 0.100 1/m lambda0 = 440.0 nm gamma = 0.014 1/nm CDOM absorption is modeled as an exponential in depth: aCDOM(z,lambda) = aCDOM(z=0,lambda) * exp(-z/5) The phase function for component 3 comes from a file titled Morel Large Particle Case 1 phase function; (Jul 2004) The mineral particle concentration is obtained from a file of measured values read from a file named: C:\HE5\data\examples\minzdataEx4.txt (Linear interpolation is used to define conc(z) at all depths) The data file header records from C:\HE5\data\examples\minzdataEx4.txt are: Example "minzdata" file showing the Hydrolight "mineral-data standard format" These files are read by Hydrolight subroutine "minzdata" on file ..\maincode\minzdata.f 10 records read Specific Absorption for component 4 read in from file: C:\HE5\data\defaults\astarmin_redclay.txt 141 records read Specific scattering for component 4 read in from file: C:\HE5\data\defaults\bstarmin_redclay.txt 141 records read The phase function for component 4 will be chosen to have a bb/b ratio calculated by a Power Law model: bb/b = 0.0300 * (550./wavenm)^(0.5000) Component concentration values at the requested output depths depth Chl aCDOM(412.0) Mineral (m) (mg/m^3) (1/m) (g/m^3) 0.000 0.610 0.148 0.100 0.500 0.699 0.134 0.105 1.000 0.838 0.121 0.110 1.500 1.041 0.110 0.115 2.000 1.312 0.099 0.120 2.500 1.645 0.090 0.140 3.000 2.016 0.081 0.160 3.500 2.387 0.073 0.180 4.000 2.706 0.066 0.200 4.500 2.923 0.060 0.230 5.000 3.000 0.054 0.260 5.500 2.923 0.049 0.400 6.000 2.706 0.045 0.760 6.500 2.387 0.040 0.900 7.000 2.016 0.036 0.950 7.500 1.645 0.033 0.980 8.000 1.312 0.030 1.000 ***** END IOP MODEL SPECIFICATIONS ***** ***** BEGIN INELASTIC SCATTER AND INTERNAL SOURCE SPECIFICATIONS ***** Chlorophyll fluorescence is included in this run Chl fluorescent quantum efficiency set to 0.020 CDOM fluorescence is included in this run Raman scattering is included in this run Raman scattering cross-section set to 2.60E-04 m-1 at reference wavelength 488.0 nm ***** END INELASTIC SCATTER AND INTERNAL SOURCE SPECIFICATIONS ***** ***** BEGIN ATMOSPHERIC MODEL SPECIFICATIONS ***** The sun's zenith angle is computed from Julian day = 167 latitude = 48.5000 degrees (N is positive) longitude = -123.0000 degrees (E is positive) GMT = 23.00 hours The computed solar zenith angle is 41.48 degrees The computed solar azimuth angle is 247.91 degrees (relative to true north) The computed solar azimuth angle is not used by Hydolight, which places the sun at 0.00 degrees azimuth relative to the downwind direction. Normalized sky radiances are computed using sky model "HCNRAD" (Harrison and Coombes Normalized RADiances) The cloud fraction is cloud = 0.3 (0 for a clear sky to 1 for a heavy overcast) The sun is placed in quad Q(r,s) = Q( 6, 1) centered at (theta, phi) = (40.000, 0.000) Diffuse and Direct Sky irradiances are computed using the "RADTRANX" (RADTRAN eXtended for 300-1000 nm) model The RADTRAN clear-sky irradiances are adjusted for cloudiness by the model of Kasten and Czeplak The ozone concentration is computed from climatology using Day of Year = 167 latitude = 48.5000 degrees (N is positive) longitude = -123.0000 degrees (E is positive) Binned Monthly Average TOMS v8 Ozone concentrations (in Dobson units) for use in HE5; Sept 2007 Data from 2000-2004 were averaged to give 5-year climatological averages for 5 x 10 deg latitude x longitude regions. For missing data near the poles, the zonal average of the nearest valid latitude band is used. Parameter values used in the RADTRANX model: Solar zenith angle = 41.5 degrees Pressure = 29.9 in. mercury Day of year = 167 Air mass type = 3.0 Relative Humidity = 80.0 % Precipitable water = 2.5 cm 24-hr wind speed = 4.0 m/sec Current wind speed = 4.0 m/sec Visibility = 15.0 km Total ozone = 339.8 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 4.0 m/s Index of refraction will be calculated as a function of wavelength, for the given seawater temp 10.0 degC and salinity 25.0 PSU ***** END AIR-WATER SURFACE SPECIFICATIONS ***** ***** BEGIN BOTTOM BOUNDARY SPECIFICATIONS ***** The bottom boundary is an opaque reflecting surface at depth 8.00 m The bottom bidirectional reflectance distribution function (BRDF) is Lambertian: BRDF(mu',phi',mu,phi) = R/pi The bottom reflectance R is obtained from measured values read from a file named: ..\data\botmrefl\avg_seagrass.txt (Linear interpolation is used to define R at all wavelengths) The data file header records from ..\data\botmrefl\avg_seagrass.txt are: Bottom reflectance spectrum for "AVERAGE SEAGRASS" Based on measurements between 400 and 750 nm 141 records read ***** END BOTTOM BOUNDARY SPECIFICATIONS ***** Initialization of Hydrolight Completed in 1.1 sec. * * * * * Output for wavelength band 1 (402.0 to 422.0 nm; nominal wavelength = 412.0 nm) * * * * * Index of refraction at this wavelength is 1.348 RADTRANX clear-sky spectral irradiances averaged over the band from 402.0 nm to 422.0 nm: Ed(diffuse) = 4.106E-01 Ed(direct) = 5.255E-01 Ed(total) = 9.361E-01 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 3.355E-01 Ed(direct) = 5.888E-01 Ed(total) = 9.244E-01 Absorption Coefficients of Individual Components at 412.0 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 0.0046 0.0367 0.1480 0.0104 0.1997 3 0.364 0.500 0.0046 0.0401 0.1339 0.0109 0.1895 5 0.749 1.000 0.0046 0.0452 0.1212 0.0114 0.1823 7 1.165 1.500 0.0046 0.0520 0.1096 0.0119 0.1781 9 1.623 2.000 0.0046 0.0604 0.0992 0.0124 0.1767 11 2.136 2.500 0.0046 0.0700 0.0898 0.0145 0.1789 13 2.711 3.000 0.0046 0.0799 0.0812 0.0166 0.1823 15 3.348 3.500 0.0046 0.0891 0.0735 0.0187 0.1859 17 4.039 4.000 0.0046 0.0967 0.0665 0.0207 0.1886 19 4.775 4.500 0.0046 0.1017 0.0602 0.0238 0.1903 21 5.542 5.000 0.0046 0.1034 0.0544 0.0269 0.1894 23 6.346 5.500 0.0046 0.1017 0.0493 0.0415 0.1970 25 7.244 6.000 0.0046 0.0967 0.0446 0.0788 0.2247 27 8.219 6.500 0.0046 0.0891 0.0403 0.0933 0.2274 29 9.187 7.000 0.0046 0.0799 0.0365 0.0985 0.2194 31 10.115 7.500 0.0046 0.0700 0.0330 0.1016 0.2092 34 10.996 8.000 0.0046 0.0604 0.0299 0.1036 0.1985 Scattering Coefficients of Individual Components at 412.0 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 0.0067 0.4248 0.0000 0.0826 0.5140 3 0.364 0.500 0.0067 0.4623 0.0000 0.0867 0.5556 5 0.749 1.000 0.0067 0.5175 0.0000 0.0908 0.6150 7 1.165 1.500 0.0067 0.5917 0.0000 0.0950 0.6933 9 1.623 2.000 0.0067 0.6830 0.0000 0.0991 0.7887 11 2.136 2.500 0.0067 0.7858 0.0000 0.1156 0.9081 13 2.711 3.000 0.0067 0.8916 0.0000 0.1321 1.0304 15 3.348 3.500 0.0067 0.9900 0.0000 0.1486 1.1453 17 4.039 4.000 0.0067 1.0701 0.0000 0.1651 1.2419 19 4.775 4.500 0.0067 1.1225 0.0000 0.1899 1.3191 21 5.542 5.000 0.0067 1.1407 0.0000 0.2147 1.3620 23 6.346 5.500 0.0067 1.1225 0.0000 0.3303 1.4594 25 7.244 6.000 0.0067 1.0701 0.0000 0.6275 1.7043 27 8.219 6.500 0.0067 0.9900 0.0000 0.7431 1.7398 29 9.187 7.000 0.0067 0.8916 0.0000 0.7844 1.6827 31 10.115 7.500 0.0067 0.7858 0.0000 0.8091 1.6016 34 10.996 8.000 0.0067 0.6830 0.0000 0.8257 1.5153 Backscattering Coefficients of Individual Components at 412.0 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 0.00333 0.00212 0.00000 0.00286 0.00832 3 0.364 0.500 0.00333 0.00231 0.00000 0.00300 0.00865 5 0.749 1.000 0.00333 0.00259 0.00000 0.00315 0.00907 7 1.165 1.500 0.00333 0.00296 0.00000 0.00329 0.00958 9 1.623 2.000 0.00333 0.00341 0.00000 0.00343 0.01018 11 2.136 2.500 0.00333 0.00393 0.00000 0.00401 0.01127 13 2.711 3.000 0.00333 0.00446 0.00000 0.00458 0.01237 15 3.348 3.500 0.00333 0.00495 0.00000 0.00515 0.01344 17 4.039 4.000 0.00333 0.00535 0.00000 0.00572 0.01441 19 4.775 4.500 0.00333 0.00561 0.00000 0.00658 0.01553 21 5.542 5.000 0.00333 0.00570 0.00000 0.00744 0.01648 23 6.346 5.500 0.00333 0.00561 0.00000 0.01145 0.02039 25 7.244 6.000 0.00333 0.00535 0.00000 0.02175 0.03044 27 8.219 6.500 0.00333 0.00495 0.00000 0.02576 0.03404 29 9.187 7.000 0.00333 0.00446 0.00000 0.02719 0.03498 31 10.115 7.500 0.00333 0.00393 0.00000 0.02805 0.03531 34 10.996 8.000 0.00333 0.00341 0.00000 0.02862 0.03537 Summary of Inherent Optical Properties at 412.0 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 0.1997 0.5140 0.7137 0.7202 0.00832 0.01619 3 0.364 0.500 0.1895 0.5556 0.7452 0.7457 0.00865 0.01557 5 0.749 1.000 0.1823 0.6150 0.7973 0.7713 0.00907 0.01475 7 1.165 1.500 0.1781 0.6933 0.8714 0.7956 0.00958 0.01382 9 1.623 2.000 0.1767 0.7887 0.9654 0.8170 0.01018 0.01291 11 2.136 2.500 0.1789 0.9081 1.0869 0.8354 0.01127 0.01241 13 2.711 3.000 0.1823 1.0304 1.2127 0.8497 0.01237 0.01201 15 3.348 3.500 0.1859 1.1453 1.3312 0.8603 0.01344 0.01173 17 4.039 4.000 0.1886 1.2419 1.4305 0.8682 0.01441 0.01160 19 4.775 4.500 0.1903 1.3191 1.5094 0.8739 0.01553 0.01177 21 5.542 5.000 0.1894 1.3620 1.5515 0.8779 0.01648 0.01210 23 6.346 5.500 0.1970 1.4594 1.6564 0.8811 0.02039 0.01397 25 7.244 6.000 0.2247 1.7043 1.9289 0.8835 0.03044 0.01786 27 8.219 6.500 0.2274 1.7398 1.9671 0.8844 0.03404 0.01957 29 9.187 7.000 0.2194 1.6827 1.9021 0.8846 0.03498 0.02079 31 10.115 7.500 0.2092 1.6016 1.8108 0.8845 0.03531 0.02205 34 10.996 8.000 0.1985 1.5153 1.7138 0.8842 0.03537 0.02334 The bottom reflectance at wavelength 412.0 nm is R = 0.057 Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 412.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.3991E-01 1.4534E+00 1.5933E+00 4.7253E-02 9.2436E-01 0.3377 0.6360 0.5505 5.1119E-02 1 0.00 0.00 4.3370E-02 1.0714E+00 1.1148E+00 1.9369E-02 8.9623E-01 0.4466 0.8365 0.7866 2.1612E-02 3 0.36 0.50 4.2655E-02 9.5790E-01 1.0006E+00 1.8875E-02 7.9305E-01 0.4425 0.8279 0.7737 2.3800E-02 5 0.75 1.00 4.1907E-02 8.5956E-01 9.0147E-01 1.8369E-02 7.0435E-01 0.4383 0.8194 0.7610 2.6079E-02 7 1.16 1.50 4.1069E-02 7.7261E-01 8.1368E-01 1.7846E-02 6.2670E-01 0.4345 0.8111 0.7483 2.8476E-02 9 1.62 2.00 4.0197E-02 6.9457E-01 7.3476E-01 1.7321E-02 5.5763E-01 0.4309 0.8028 0.7353 3.1062E-02 11 2.14 2.50 3.9232E-02 6.2340E-01 6.6263E-01 1.6757E-02 4.9505E-01 0.4271 0.7941 0.7218 3.3850E-02 13 2.71 3.00 3.7980E-02 5.5755E-01 5.9553E-01 1.6120E-02 4.3768E-01 0.4244 0.7850 0.7079 3.6831E-02 15 3.35 3.50 3.6548E-02 4.9636E-01 5.3291E-01 1.5454E-02 3.8510E-01 0.4228 0.7759 0.6936 4.0129E-02 17 4.04 4.00 3.5100E-02 4.3977E-01 4.7487E-01 1.4813E-02 3.3730E-01 0.4220 0.7670 0.6791 4.3917E-02 19 4.78 4.50 3.3786E-02 3.8798E-01 4.2177E-01 1.4231E-02 2.9425E-01 0.4212 0.7584 0.6639 4.8364E-02 21 5.54 5.00 3.2796E-02 3.4122E-01 3.7402E-01 1.3747E-02 2.5599E-01 0.4192 0.7502 0.6477 5.3699E-02 23 6.35 5.50 3.2045E-02 2.9886E-01 3.3091E-01 1.3221E-02 2.2141E-01 0.4126 0.7408 0.6291 5.9713E-02 25 7.24 6.00 3.0092E-02 2.5787E-01 2.8796E-01 1.2142E-02 1.8770E-01 0.4035 0.7279 0.6097 6.4691E-02 27 8.22 6.50 2.6379E-02 2.1799E-01 2.4437E-01 1.0506E-02 1.5599E-01 0.3983 0.7156 0.5954 6.7349E-02 29 9.19 7.00 2.2207E-02 1.8289E-01 2.0509E-01 8.7799E-03 1.2920E-01 0.3954 0.7064 0.5871 6.7958E-02 31 10.11 7.50 1.7685E-02 1.5336E-01 1.7104E-01 7.0481E-03 1.0734E-01 0.3985 0.6999 0.5864 6.5661E-02 34 11.00 8.00 1.0207E-02 1.2842E-01 1.3862E-01 5.1034E-03 8.9558E-02 0.5000 0.6974 0.6092 5.6984E-02 K-functions (units of 1/meter) at 412.0 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 0.050 0.025 0.03887 0.23068 0.22318 0.05191 0.24896 0.25334 0.08550 0.500 0.550 0.525 0.03317 0.21910 0.21114 0.05289 0.24001 0.24460 0.08624 1.000 1.050 1.025 0.03808 0.21426 0.20603 0.05629 0.23465 0.23945 0.08764 1.500 1.550 1.525 0.04249 0.21258 0.20396 0.05922 0.23298 0.23809 0.08894 2.000 2.050 2.025 0.04073 0.21398 0.20447 0.06016 0.23492 0.24055 0.08981 2.500 2.550 2.525 0.05797 0.21958 0.20998 0.07300 0.24229 0.24824 0.09746 3.000 3.050 3.025 0.07201 0.22814 0.21815 0.08220 0.25155 0.25806 0.10234 3.500 3.550 3.525 0.07870 0.23787 0.22691 0.08571 0.26116 0.26853 0.10387 4.000 4.050 4.025 0.07355 0.24685 0.23399 0.08166 0.26951 0.27818 0.10221 4.500 4.550 4.525 0.06282 0.25452 0.23910 0.07558 0.27675 0.28702 0.10190 5.000 5.050 5.025 0.02985 0.25892 0.23873 0.06071 0.28099 0.29356 0.10182 5.500 5.550 5.525 0.05275 0.27414 0.25259 0.10174 0.30310 0.31596 0.14414 6.000 6.050 6.025 0.22538 0.32365 0.31336 0.25540 0.36195 0.36934 0.25450 6.500 6.550 6.525 0.31394 0.34859 0.34485 0.33320 0.37836 0.38162 0.28682 7.000 7.050 7.025 0.39086 0.35323 0.35730 0.39622 0.37460 0.37303 0.28226 7.500 7.550 7.525 0.57752 0.35121 0.37449 0.51065 0.36576 0.35562 0.25817 7.950 8.000 7.975 2.86993 0.37329 0.56813 0.89173 0.36137 0.32886 0.20646 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 412.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 8.37439E-02 2.77820E-03 2.01755E-03 4.79574E-03 3.00552E-03 0.024092 9 1 10.0 0.0 180.0 7.22547E-02 2.84440E-03 1.58116E-03 4.42555E-03 3.07714E-03 0.021883 9 4 10.0 45.0 135.0 7.44408E-02 2.82016E-03 1.64093E-03 4.46108E-03 3.05092E-03 0.022043 9 7 10.0 90.0 90.0 8.20614E-02 2.78837E-03 1.91286E-03 4.70123E-03 3.01653E-03 0.023310 8 1 20.0 0.0 180.0 6.66837E-02 2.87434E-03 1.45279E-03 4.32713E-03 3.10953E-03 0.021786 8 4 20.0 45.0 135.0 6.91128E-02 2.83192E-03 1.51467E-03 4.34658E-03 3.06364E-03 0.021916 8 7 20.0 90.0 90.0 7.91041E-02 2.79353E-03 1.78460E-03 4.57814E-03 3.02211E-03 0.022560 7 1 30.0 0.0 180.0 6.28260E-02 2.92237E-03 1.43780E-03 4.36017E-03 3.16149E-03 0.022885 7 4 30.0 45.0 135.0 6.50709E-02 2.89369E-03 1.49209E-03 4.38578E-03 3.13046E-03 0.022930 7 7 30.0 90.0 90.0 7.54150E-02 2.83082E-03 1.75683E-03 4.58764E-03 3.06245E-03 0.023295 6 1 40.0 0.0 180.0 6.05186E-02 2.93836E-03 1.61424E-03 4.55260E-03 3.17879E-03 0.026673 6 4 40.0 45.0 135.0 6.23075E-02 2.89496E-03 1.65906E-03 4.55402E-03 3.13184E-03 0.026627 6 7 40.0 90.0 90.0 7.18985E-02 2.81712E-03 1.92786E-03 4.74498E-03 3.04762E-03 0.026814 5 1 50.0 0.0 180.0 6.01926E-02 2.96999E-03 2.28814E-03 5.25814E-03 3.21301E-03 0.038014 5 4 50.0 45.0 135.0 6.11301E-02 2.89947E-03 2.30517E-03 5.20464E-03 3.13672E-03 0.037709 5 7 50.0 90.0 90.0 6.96005E-02 2.83253E-03 2.60824E-03 5.44077E-03 3.06430E-03 0.037474 4 1 60.0 0.0 180.0 6.31848E-02 2.90314E-03 4.53456E-03 7.43770E-03 3.14069E-03 0.071767 4 4 60.0 45.0 135.0 6.26860E-02 2.83214E-03 4.40556E-03 7.23769E-03 3.06387E-03 0.070280 4 7 60.0 90.0 90.0 6.92873E-02 2.78326E-03 4.76987E-03 7.55312E-03 3.01099E-03 0.068842 3 1 70.0 0.0 180.0 7.29580E-02 2.67321E-03 1.15138E-02 1.41870E-02 2.89194E-03 0.157814 3 4 70.0 45.0 135.0 6.98791E-02 2.62265E-03 1.08981E-02 1.35207E-02 2.83724E-03 0.155956 3 7 70.0 90.0 90.0 7.33167E-02 2.59100E-03 1.12977E-02 1.38887E-02 2.80301E-03 0.154095 2 1 80.0 0.0 180.0 1.00182E-01 2.23477E-03 2.85030E-02 3.07378E-02 2.41762E-03 0.284511 2 4 80.0 45.0 135.0 9.17073E-02 2.18243E-03 2.70079E-02 2.91903E-02 2.36100E-03 0.294501 2 7 80.0 90.0 90.0 8.85803E-02 2.15697E-03 2.71213E-02 2.92783E-02 2.33346E-03 0.306177 1 1 87.5 0.0 180.0 1.42081E-01 1.72797E-03 5.09721E-02 5.27001E-02 1.86936E-03 0.358753 1 4 87.5 45.0 135.0 1.25891E-01 1.58892E-03 4.95127E-02 5.11016E-02 1.71893E-03 0.393297 1 7 87.5 90.0 90.0 1.12478E-01 1.72220E-03 4.84538E-02 5.01760E-02 1.86312E-03 0.430783 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 412.0 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 4.796E-03 8.374E-02 9.739E-02 8.133E-02 1.461E-01 5.188E-03 9.853E+00 2.778E-03 3.006E-03 1 0.00 0.00 5.217E-03 1.515E-01 8.383E-03 9.295E-03 1.454E-02 5.821E-03 3.713E+00 3 0.36 0.50 4.998E-03 1.456E-01 7.329E-03 8.687E-03 1.549E-02 6.302E-03 3.776E+00 5 0.75 1.00 4.786E-03 1.403E-01 7.233E-03 8.748E-03 1.600E-02 6.795E-03 3.838E+00 7 1.16 1.50 4.579E-03 1.356E-01 7.139E-03 8.783E-03 1.634E-02 7.307E-03 3.897E+00 9 1.62 2.00 4.379E-03 1.312E-01 7.018E-03 8.765E-03 1.651E-02 7.854E-03 3.955E+00 11 2.14 2.50 4.179E-03 1.270E-01 6.932E-03 8.786E-03 1.670E-02 8.442E-03 4.009E+00 13 2.71 3.00 3.976E-03 1.226E-01 6.782E-03 8.705E-03 1.663E-02 9.084E-03 4.055E+00 15 3.35 3.50 3.776E-03 1.179E-01 6.565E-03 8.512E-03 1.625E-02 9.804E-03 4.093E+00 17 4.04 4.00 3.586E-03 1.126E-01 6.300E-03 8.228E-03 1.563E-02 1.063E-02 4.131E+00 19 4.78 4.50 3.407E-03 1.066E-01 6.048E-03 7.932E-03 1.489E-02 1.158E-02 4.177E+00 21 5.54 5.00 3.239E-03 1.001E-01 5.821E-03 7.642E-03 1.409E-02 1.265E-02 4.244E+00 23 6.35 5.50 3.052E-03 9.300E-02 5.836E-03 7.651E-03 1.372E-02 1.378E-02 4.333E+00 25 7.24 6.00 2.767E-03 8.470E-02 5.956E-03 7.769E-03 1.342E-02 1.474E-02 4.388E+00 27 8.22 6.50 2.417E-03 7.526E-02 5.587E-03 7.236E-03 1.202E-02 1.550E-02 4.346E+00 29 9.19 7.00 2.095E-03 6.586E-02 5.035E-03 6.447E-03 1.029E-02 1.622E-02 4.190E+00 31 10.11 7.50 1.828E-03 5.717E-02 4.393E-03 5.556E-03 8.548E-03 1.703E-02 3.855E+00 34 11.00 8.00 1.624E-03 4.941E-02 2.695E-03 3.176E-03 4.403E-03 1.814E-02 3.142E+00 Waveband 1 of 20 completed in 3.8 sec. * * * * * Output for wavelength band 2 (422.0 to 433.0 nm; nominal wavelength = 427.5 nm) * * * * * Index of refraction at this wavelength is 1.346 RADTRANX clear-sky spectral irradiances averaged over the band from 422.0 nm to 433.0 nm: Ed(diffuse) = 3.731E-01 Ed(direct) = 5.263E-01 Ed(total) = 8.994E-01 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 3.224E-01 Ed(direct) = 5.657E-01 Ed(total) = 8.881E-01 Absorption Coefficients of Individual Components at 427.5 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 0.0049 0.0413 0.1191 0.0091 0.1744 3 0.349 0.500 0.0049 0.0452 0.1078 0.0095 0.1674 5 0.720 1.000 0.0049 0.0508 0.0975 0.0100 0.1632 7 1.123 1.500 0.0049 0.0585 0.0882 0.0104 0.1621 9 1.570 2.000 0.0049 0.0680 0.0799 0.0109 0.1636 11 2.072 2.500 0.0049 0.0788 0.0723 0.0127 0.1686 13 2.637 3.000 0.0049 0.0899 0.0654 0.0145 0.1747 15 3.264 3.500 0.0049 0.1003 0.0592 0.0164 0.1807 17 3.946 4.000 0.0049 0.1089 0.0535 0.0182 0.1854 19 4.674 4.500 0.0049 0.1145 0.0484 0.0209 0.1887 21 5.433 5.000 0.0049 0.1164 0.0438 0.0236 0.1887 23 6.229 5.500 0.0049 0.1145 0.0397 0.0363 0.1953 25 7.120 6.000 0.0049 0.1089 0.0359 0.0691 0.2187 27 8.089 6.500 0.0049 0.1003 0.0325 0.0818 0.2195 29 9.052 7.000 0.0049 0.0899 0.0294 0.0863 0.2105 31 9.975 7.500 0.0049 0.0788 0.0266 0.0890 0.1993 34 10.851 8.000 0.0049 0.0680 0.0241 0.0909 0.1878 Scattering Coefficients of Individual Components at 427.5 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 0.0057 0.4184 0.0000 0.0839 0.5080 3 0.349 0.500 0.0057 0.4553 0.0000 0.0881 0.5491 5 0.720 1.000 0.0057 0.5097 0.0000 0.0923 0.6077 7 1.123 1.500 0.0057 0.5828 0.0000 0.0965 0.6850 9 1.570 2.000 0.0057 0.6727 0.0000 0.1007 0.7791 11 2.072 2.500 0.0057 0.7740 0.0000 0.1175 0.8972 13 2.637 3.000 0.0057 0.8782 0.0000 0.1343 1.0182 15 3.264 3.500 0.0057 0.9751 0.0000 0.1511 1.1319 17 3.946 4.000 0.0057 1.0540 0.0000 0.1678 1.2276 19 4.674 4.500 0.0057 1.1056 0.0000 0.1930 1.3043 21 5.433 5.000 0.0057 1.1236 0.0000 0.2182 1.3474 23 6.229 5.500 0.0057 1.1056 0.0000 0.3357 1.4470 25 7.120 6.000 0.0057 1.0540 0.0000 0.6378 1.6975 27 8.089 6.500 0.0057 0.9751 0.0000 0.7553 1.7361 29 9.052 7.000 0.0057 0.8782 0.0000 0.7973 1.6812 31 9.975 7.500 0.0057 0.7740 0.0000 0.8225 1.6021 34 10.851 8.000 0.0057 0.6727 0.0000 0.8392 1.5176 Backscattering Coefficients of Individual Components at 427.5 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 0.00284 0.00209 0.00000 0.00286 0.00779 3 0.349 0.500 0.00284 0.00228 0.00000 0.00300 0.00812 5 0.720 1.000 0.00284 0.00255 0.00000 0.00314 0.00853 7 1.123 1.500 0.00284 0.00291 0.00000 0.00328 0.00904 9 1.570 2.000 0.00284 0.00336 0.00000 0.00343 0.00963 11 2.072 2.500 0.00284 0.00387 0.00000 0.00400 0.01071 13 2.637 3.000 0.00284 0.00439 0.00000 0.00457 0.01180 15 3.264 3.500 0.00284 0.00488 0.00000 0.00514 0.01286 17 3.946 4.000 0.00284 0.00527 0.00000 0.00571 0.01382 19 4.674 4.500 0.00284 0.00553 0.00000 0.00657 0.01494 21 5.433 5.000 0.00284 0.00562 0.00000 0.00742 0.01589 23 6.229 5.500 0.00284 0.00553 0.00000 0.01142 0.01979 25 7.120 6.000 0.00284 0.00527 0.00000 0.02170 0.02982 27 8.089 6.500 0.00284 0.00488 0.00000 0.02570 0.03342 29 9.052 7.000 0.00284 0.00439 0.00000 0.02713 0.03436 31 9.975 7.500 0.00284 0.00387 0.00000 0.02799 0.03470 34 10.851 8.000 0.00284 0.00336 0.00000 0.02856 0.03476 Summary of Inherent Optical Properties at 427.5 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 0.1744 0.5080 0.6824 0.7444 0.00779 0.01534 3 0.349 0.500 0.1674 0.5491 0.7165 0.7664 0.00812 0.01478 5 0.720 1.000 0.1632 0.6077 0.7709 0.7883 0.00853 0.01404 7 1.123 1.500 0.1621 0.6850 0.8471 0.8087 0.00904 0.01320 9 1.570 2.000 0.1636 0.7791 0.9427 0.8264 0.00963 0.01236 11 2.072 2.500 0.1686 0.8972 1.0658 0.8418 0.01071 0.01194 13 2.637 3.000 0.1747 1.0182 1.1929 0.8536 0.01180 0.01159 15 3.264 3.500 0.1807 1.1319 1.3126 0.8623 0.01286 0.01136 17 3.946 4.000 0.1854 1.2276 1.4130 0.8688 0.01382 0.01126 19 4.674 4.500 0.1887 1.3043 1.4930 0.8736 0.01494 0.01145 21 5.433 5.000 0.1887 1.3474 1.5362 0.8771 0.01589 0.01179 23 6.229 5.500 0.1953 1.4470 1.6423 0.8811 0.01979 0.01368 25 7.120 6.000 0.2187 1.6975 1.9162 0.8859 0.02982 0.01756 27 8.089 6.500 0.2195 1.7361 1.9556 0.8878 0.03342 0.01925 29 9.052 7.000 0.2105 1.6812 1.8917 0.8887 0.03436 0.02044 31 9.975 7.500 0.1993 1.6021 1.8014 0.8894 0.03470 0.02166 34 10.851 8.000 0.1878 1.5176 1.7054 0.8899 0.03476 0.02291 The bottom reflectance at wavelength 427.5 nm is R = 0.058 Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 427.5 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.3511E-01 1.3964E+00 1.5315E+00 4.5748E-02 8.8812E-01 0.3386 0.6360 0.5500 5.1511E-02 1 0.00 0.00 4.4901E-02 1.0326E+00 1.0775E+00 1.9886E-02 8.6202E-01 0.4429 0.8348 0.7816 2.3069E-02 3 0.35 0.50 4.4205E-02 9.3655E-01 9.8075E-01 1.9397E-02 7.7382E-01 0.4388 0.8263 0.7692 2.5066E-02 5 0.72 1.00 4.3411E-02 8.5118E-01 8.9459E-01 1.8875E-02 6.9602E-01 0.4348 0.8177 0.7569 2.7118E-02 7 1.12 1.50 4.2477E-02 7.7351E-01 8.1599E-01 1.8325E-02 6.2608E-01 0.4314 0.8094 0.7448 2.9269E-02 9 1.57 2.00 4.1488E-02 7.0173E-01 7.4321E-01 1.7771E-02 5.6219E-01 0.4283 0.8011 0.7325 3.1611E-02 11 2.07 2.50 4.0408E-02 6.3442E-01 6.7483E-01 1.7184E-02 5.0281E-01 0.4253 0.7925 0.7196 3.4177E-02 13 2.64 3.00 3.9061E-02 5.7055E-01 6.0961E-01 1.6535E-02 4.4710E-01 0.4233 0.7836 0.7063 3.6982E-02 15 3.26 3.50 3.7565E-02 5.0992E-01 5.4748E-01 1.5872E-02 3.9506E-01 0.4225 0.7747 0.6926 4.0176E-02 17 3.95 4.00 3.6107E-02 4.5292E-01 4.8902E-01 1.5256E-02 3.4701E-01 0.4225 0.7662 0.6784 4.3965E-02 19 4.67 4.50 3.4858E-02 4.0015E-01 4.3501E-01 1.4725E-02 3.0326E-01 0.4224 0.7579 0.6633 4.8554E-02 21 5.43 5.00 3.4027E-02 3.5218E-01 3.8621E-01 1.4317E-02 2.6411E-01 0.4208 0.7499 0.6468 5.4209E-02 23 6.23 5.50 3.3544E-02 3.0880E-01 3.4234E-01 1.3884E-02 2.2869E-01 0.4139 0.7406 0.6275 6.0710E-02 25 7.12 6.00 3.1812E-02 2.6737E-01 2.9918E-01 1.2859E-02 1.9445E-01 0.4042 0.7273 0.6070 6.6130E-02 27 8.09 6.50 2.8123E-02 2.2734E-01 2.5546E-01 1.1209E-02 1.6243E-01 0.3986 0.7145 0.5920 6.9006E-02 29 9.05 7.00 2.3845E-02 1.9201E-01 2.1586E-01 9.4246E-03 1.3534E-01 0.3952 0.7049 0.5833 6.9636E-02 31 9.97 7.50 1.9090E-02 1.6219E-01 1.8128E-01 7.5987E-03 1.1320E-01 0.3980 0.6979 0.5825 6.7126E-02 34 10.85 8.00 1.1024E-02 1.3684E-01 1.4787E-01 5.5121E-03 9.5127E-02 0.5000 0.6952 0.6061 5.7945E-02 K-functions (units of 1/meter) at 427.5 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 0.050 0.025 0.03500 0.20033 0.19341 0.04884 0.21866 0.22268 0.07972 0.500 0.550 0.525 0.03281 0.19206 0.18485 0.05228 0.21314 0.21729 0.08185 1.000 1.050 1.025 0.04038 0.19071 0.18339 0.05730 0.21125 0.21556 0.08399 1.500 1.550 1.525 0.04639 0.19269 0.18504 0.06091 0.21311 0.21772 0.08536 2.000 2.050 2.025 0.04504 0.19787 0.18931 0.06155 0.21863 0.22377 0.08567 2.500 2.550 2.525 0.06256 0.20699 0.19831 0.07343 0.22931 0.23485 0.09232 3.000 3.050 3.025 0.07446 0.21892 0.20964 0.08075 0.24177 0.24798 0.09574 3.500 3.550 3.525 0.07926 0.23169 0.22120 0.08166 0.25429 0.26155 0.09542 4.000 4.050 4.025 0.07162 0.24322 0.23050 0.07426 0.26511 0.27393 0.09170 4.500 4.550 4.525 0.05758 0.25260 0.23690 0.06447 0.27409 0.28485 0.08947 5.000 5.050 5.025 0.01922 0.25778 0.23664 0.04551 0.27932 0.29280 0.08782 5.500 5.550 5.525 0.03423 0.27050 0.24722 0.08427 0.29975 0.31376 0.12963 6.000 6.050 6.025 0.20790 0.31311 0.30189 0.23993 0.35291 0.36093 0.24088 6.500 6.550 6.525 0.29846 0.33566 0.33156 0.31969 0.36685 0.37035 0.27459 7.000 7.050 7.025 0.37902 0.33937 0.34375 0.38574 0.36177 0.35998 0.27228 7.500 7.550 7.525 0.57120 0.33672 0.36128 0.50482 0.35180 0.34083 0.25141 7.950 8.000 7.975 2.87718 0.35844 0.55757 0.88942 0.34668 0.31281 0.20339 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 427.5 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 8.04606E-02 2.81099E-03 1.92600E-03 4.73699E-03 3.16509E-03 0.023937 9 1 10.0 0.0 180.0 6.94219E-02 2.87305E-03 1.50940E-03 4.38246E-03 3.23497E-03 0.021742 9 4 10.0 45.0 135.0 7.15222E-02 2.85052E-03 1.56646E-03 4.41698E-03 3.20959E-03 0.021902 9 7 10.0 90.0 90.0 7.88441E-02 2.82287E-03 1.82605E-03 4.64892E-03 3.17847E-03 0.023160 8 1 20.0 0.0 180.0 6.40693E-02 2.90148E-03 1.38691E-03 4.28839E-03 3.26698E-03 0.021647 8 4 20.0 45.0 135.0 6.64031E-02 2.86198E-03 1.44598E-03 4.30796E-03 3.22250E-03 0.021776 8 7 20.0 90.0 90.0 7.60027E-02 2.83045E-03 1.70368E-03 4.53413E-03 3.18700E-03 0.022416 7 1 30.0 0.0 180.0 6.03628E-02 2.94923E-03 1.37279E-03 4.32202E-03 3.32074E-03 0.022742 7 4 30.0 45.0 135.0 6.25197E-02 2.92482E-03 1.42462E-03 4.34945E-03 3.29326E-03 0.022787 7 7 30.0 90.0 90.0 7.24583E-02 2.87209E-03 1.67739E-03 4.54948E-03 3.23389E-03 0.023150 6 1 40.0 0.0 180.0 5.81459E-02 2.96706E-03 1.54191E-03 4.50897E-03 3.34082E-03 0.026518 6 4 40.0 45.0 135.0 5.98647E-02 2.92924E-03 1.58471E-03 4.51395E-03 3.29824E-03 0.026472 6 7 40.0 90.0 90.0 6.90796E-02 2.86486E-03 1.84146E-03 4.70632E-03 3.22574E-03 0.026657 5 1 50.0 0.0 180.0 5.78327E-02 3.00201E-03 2.18766E-03 5.18967E-03 3.38017E-03 0.037827 5 4 50.0 45.0 135.0 5.87334E-02 2.93659E-03 2.20391E-03 5.14050E-03 3.30651E-03 0.037524 5 7 50.0 90.0 90.0 6.68717E-02 2.88637E-03 2.49360E-03 5.37996E-03 3.24996E-03 0.037289 4 1 60.0 0.0 180.0 6.07075E-02 2.93740E-03 4.34145E-03 7.27885E-03 3.30743E-03 0.071514 4 4 60.0 45.0 135.0 6.02283E-02 2.87376E-03 4.21779E-03 7.09155E-03 3.23576E-03 0.070030 4 7 60.0 90.0 90.0 6.65708E-02 2.84415E-03 4.56634E-03 7.41049E-03 3.20243E-03 0.068594 3 1 70.0 0.0 180.0 7.00976E-02 2.70859E-03 1.10379E-02 1.37465E-02 3.04979E-03 0.157464 3 4 70.0 45.0 135.0 6.71394E-02 2.66513E-03 1.04473E-02 1.31124E-02 3.00085E-03 0.155606 3 7 70.0 90.0 90.0 7.04422E-02 2.65448E-03 1.08299E-02 1.34844E-02 2.98886E-03 0.153741 2 1 80.0 0.0 180.0 9.62546E-02 2.26938E-03 2.73501E-02 2.96195E-02 2.55525E-03 0.284143 2 4 80.0 45.0 135.0 8.81118E-02 2.22401E-03 2.59152E-02 2.81392E-02 2.50417E-03 0.294117 2 7 80.0 90.0 90.0 8.51074E-02 2.21481E-03 2.60233E-02 2.82381E-02 2.49381E-03 0.305770 1 1 87.5 0.0 180.0 1.36511E-01 1.75561E-03 4.89350E-02 5.06906E-02 1.97677E-03 0.358470 1 4 87.5 45.0 135.0 1.20955E-01 1.61848E-03 4.75342E-02 4.91526E-02 1.82236E-03 0.392989 1 7 87.5 90.0 90.0 1.08069E-01 1.77210E-03 4.65169E-02 4.82890E-02 1.99533E-03 0.430439 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 427.5 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 4.737E-03 8.046E-02 9.360E-02 7.818E-02 1.404E-01 5.334E-03 9.658E+00 2.811E-03 3.165E-03 1 0.00 0.00 5.268E-03 1.453E-01 8.650E-03 9.719E-03 1.532E-02 6.112E-03 3.775E+00 3 0.35 0.50 5.060E-03 1.412E-01 7.640E-03 9.139E-03 1.635E-02 6.539E-03 3.833E+00 5 0.72 1.00 4.855E-03 1.376E-01 7.552E-03 9.216E-03 1.694E-02 6.975E-03 3.888E+00 7 1.12 1.50 4.654E-03 1.342E-01 7.446E-03 9.239E-03 1.729E-02 7.433E-03 3.938E+00 9 1.57 2.00 4.459E-03 1.308E-01 7.296E-03 9.189E-03 1.743E-02 7.932E-03 3.985E+00 11 2.07 2.50 4.265E-03 1.274E-01 7.177E-03 9.167E-03 1.755E-02 8.483E-03 4.029E+00 13 2.64 3.00 4.069E-03 1.237E-01 6.992E-03 9.041E-03 1.739E-02 9.101E-03 4.064E+00 15 3.26 3.50 3.878E-03 1.194E-01 6.735E-03 8.794E-03 1.692E-02 9.817E-03 4.092E+00 17 3.95 4.00 3.701E-03 1.143E-01 6.438E-03 8.463E-03 1.620E-02 1.066E-02 4.123E+00 19 4.67 4.50 3.536E-03 1.085E-01 6.158E-03 8.136E-03 1.539E-02 1.166E-02 4.164E+00 21 5.43 5.00 3.384E-03 1.021E-01 5.933E-03 7.836E-03 1.455E-02 1.281E-02 4.231E+00 23 6.23 5.50 3.211E-03 9.502E-02 6.000E-03 7.903E-03 1.425E-02 1.404E-02 4.324E+00 25 7.12 6.00 2.932E-03 8.685E-02 6.213E-03 8.138E-03 1.412E-02 1.508E-02 4.385E+00 27 8.09 6.50 2.579E-03 7.760E-02 5.900E-03 7.666E-03 1.278E-02 1.588E-02 4.347E+00 29 9.05 7.00 2.248E-03 6.832E-02 5.375E-03 6.903E-03 1.106E-02 1.661E-02 4.193E+00 31 9.97 7.50 1.970E-03 5.969E-02 4.739E-03 6.010E-03 9.280E-03 1.740E-02 3.858E+00 34 10.85 8.00 1.755E-03 5.194E-02 2.919E-03 3.449E-03 4.800E-03 1.844E-02 3.142E+00 Waveband 2 of 20 completed in 3.9 sec. * * * * * Output for wavelength band 3 (433.0 to 453.0 nm; nominal wavelength = 443.0 nm) * * * * * Index of refraction at this wavelength is 1.345 RADTRANX clear-sky spectral irradiances averaged over the band from 433.0 nm to 453.0 nm: Ed(diffuse) = 4.271E-01 Ed(direct) = 6.584E-01 Ed(total) = 1.085E+00 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 3.891E-01 Ed(direct) = 6.828E-01 Ed(total) = 1.072E+00 Absorption Coefficients of Individual Components at 443.0 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 0.0070 0.0427 0.0959 0.0078 0.1535 3 0.336 0.500 0.0070 0.0467 0.0868 0.0082 0.1487 5 0.696 1.000 0.0070 0.0525 0.0785 0.0086 0.1467 7 1.088 1.500 0.0070 0.0605 0.0710 0.0090 0.1475 9 1.524 2.000 0.0070 0.0703 0.0643 0.0094 0.1510 11 2.015 2.500 0.0070 0.0814 0.0582 0.0109 0.1575 13 2.570 3.000 0.0070 0.0929 0.0526 0.0125 0.1651 15 3.186 3.500 0.0070 0.1037 0.0476 0.0140 0.1724 17 3.859 4.000 0.0070 0.1125 0.0431 0.0156 0.1783 19 4.577 4.500 0.0070 0.1183 0.0390 0.0179 0.1823 21 5.326 5.000 0.0070 0.1203 0.0353 0.0203 0.1829 23 6.114 5.500 0.0070 0.1183 0.0319 0.0312 0.1885 25 6.998 6.000 0.0070 0.1125 0.0289 0.0593 0.2078 27 7.962 6.500 0.0070 0.1037 0.0261 0.0702 0.2071 29 8.920 7.000 0.0070 0.0929 0.0236 0.0741 0.1977 31 9.840 7.500 0.0070 0.0814 0.0214 0.0764 0.1863 34 10.714 8.000 0.0070 0.0703 0.0194 0.0780 0.1747 Scattering Coefficients of Individual Components at 443.0 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 0.0049 0.4120 0.0000 0.0860 0.5029 3 0.336 0.500 0.0049 0.4484 0.0000 0.0903 0.5436 5 0.696 1.000 0.0049 0.5019 0.0000 0.0946 0.6014 7 1.088 1.500 0.0049 0.5739 0.0000 0.0989 0.6777 9 1.524 2.000 0.0049 0.6624 0.0000 0.1032 0.7705 11 2.015 2.500 0.0049 0.7622 0.0000 0.1204 0.8875 13 2.570 3.000 0.0049 0.8648 0.0000 0.1376 1.0073 15 3.186 3.500 0.0049 0.9602 0.0000 0.1548 1.1199 17 3.859 4.000 0.0049 1.0379 0.0000 0.1720 1.2148 19 4.577 4.500 0.0049 1.0887 0.0000 0.1978 1.2914 21 5.326 5.000 0.0049 1.1064 0.0000 0.2236 1.3349 23 6.114 5.500 0.0049 1.0887 0.0000 0.3440 1.4376 25 6.998 6.000 0.0049 1.0379 0.0000 0.6537 1.6965 27 7.962 6.500 0.0049 0.9602 0.0000 0.7741 1.7392 29 8.920 7.000 0.0049 0.8648 0.0000 0.8171 1.6868 31 9.840 7.500 0.0049 0.7622 0.0000 0.8429 1.6099 34 10.714 8.000 0.0049 0.6624 0.0000 0.8601 1.5274 Backscattering Coefficients of Individual Components at 443.0 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 0.00244 0.00206 0.00000 0.00287 0.00737 3 0.336 0.500 0.00244 0.00224 0.00000 0.00302 0.00770 5 0.696 1.000 0.00244 0.00251 0.00000 0.00316 0.00811 7 1.088 1.500 0.00244 0.00287 0.00000 0.00331 0.00861 9 1.524 2.000 0.00244 0.00331 0.00000 0.00345 0.00920 11 2.015 2.500 0.00244 0.00381 0.00000 0.00402 0.01027 13 2.570 3.000 0.00244 0.00432 0.00000 0.00460 0.01136 15 3.186 3.500 0.00244 0.00480 0.00000 0.00517 0.01241 17 3.859 4.000 0.00244 0.00519 0.00000 0.00575 0.01338 19 4.577 4.500 0.00244 0.00544 0.00000 0.00661 0.01449 21 5.326 5.000 0.00244 0.00553 0.00000 0.00747 0.01544 23 6.114 5.500 0.00244 0.00544 0.00000 0.01150 0.01938 25 6.998 6.000 0.00244 0.00519 0.00000 0.02185 0.02948 27 7.962 6.500 0.00244 0.00480 0.00000 0.02587 0.03311 29 8.920 7.000 0.00244 0.00432 0.00000 0.02731 0.03407 31 9.840 7.500 0.00244 0.00381 0.00000 0.02817 0.03442 34 10.714 8.000 0.00244 0.00331 0.00000 0.02875 0.03450 Summary of Inherent Optical Properties at 443.0 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 0.1535 0.5029 0.6564 0.7662 0.00737 0.01466 3 0.336 0.500 0.1487 0.5436 0.6922 0.7852 0.00770 0.01416 5 0.696 1.000 0.1467 0.6014 0.7481 0.8039 0.00811 0.01348 7 1.088 1.500 0.1475 0.6777 0.8252 0.8212 0.00861 0.01271 9 1.524 2.000 0.1510 0.7705 0.9215 0.8362 0.00920 0.01194 11 2.015 2.500 0.1575 0.8875 1.0450 0.8492 0.01027 0.01158 13 2.570 3.000 0.1651 1.0073 1.1724 0.8592 0.01136 0.01128 15 3.186 3.500 0.1724 1.1199 1.2924 0.8666 0.01241 0.01108 17 3.859 4.000 0.1783 1.2148 1.3931 0.8720 0.01338 0.01101 19 4.577 4.500 0.1823 1.2914 1.4737 0.8763 0.01449 0.01122 21 5.326 5.000 0.1829 1.3349 1.5178 0.8795 0.01544 0.01157 23 6.114 5.500 0.1885 1.4376 1.6261 0.8841 0.01938 0.01348 25 6.998 6.000 0.2078 1.6965 1.9042 0.8909 0.02948 0.01738 27 7.962 6.500 0.2071 1.7392 1.9463 0.8936 0.03311 0.01904 29 8.920 7.000 0.1977 1.6868 1.8845 0.8951 0.03407 0.02020 31 9.840 7.500 0.1863 1.6099 1.7962 0.8963 0.03442 0.02138 34 10.714 8.000 0.1747 1.5274 1.7021 0.8974 0.03450 0.02259 The bottom reflectance at wavelength 443.0 nm is R = 0.059 Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 443.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.6436E-01 1.6853E+00 1.8496E+00 5.5885E-02 1.0719E+00 0.3400 0.6360 0.5493 5.2138E-02 1 0.00 0.00 5.8909E-02 1.2506E+00 1.3095E+00 2.5975E-02 1.0417E+00 0.4409 0.8330 0.7757 2.4936E-02 3 0.34 0.50 5.8111E-02 1.1479E+00 1.2060E+00 2.5398E-02 9.4637E-01 0.4371 0.8244 0.7636 2.6837E-02 5 0.70 1.00 5.7150E-02 1.0547E+00 1.1118E+00 2.4768E-02 8.6043E-01 0.4334 0.8158 0.7516 2.8785E-02 7 1.09 1.50 5.5986E-02 9.6776E-01 1.0237E+00 2.4096E-02 7.8143E-01 0.4304 0.8075 0.7398 3.0837E-02 9 1.52 2.00 5.4749E-02 8.8545E-01 9.4020E-01 2.3423E-02 7.0764E-01 0.4278 0.7992 0.7277 3.3100E-02 11 2.02 2.50 5.3413E-02 8.0650E-01 8.5992E-01 2.2713E-02 6.3764E-01 0.4252 0.7906 0.7151 3.5620E-02 13 2.57 3.00 5.1743E-02 7.3004E-01 7.8179E-01 2.1929E-02 5.7072E-01 0.4238 0.7818 0.7020 3.8424E-02 15 3.19 3.50 4.9916E-02 6.5617E-01 7.0609E-01 2.1142E-02 5.0719E-01 0.4235 0.7730 0.6884 4.1683E-02 17 3.86 4.00 4.8185E-02 5.8570E-01 6.3388E-01 2.0428E-02 4.4775E-01 0.4240 0.7645 0.6741 4.5624E-02 19 4.58 4.50 4.6775E-02 5.1973E-01 5.6650E-01 1.9839E-02 3.9305E-01 0.4241 0.7563 0.6588 5.0474E-02 21 5.33 5.00 4.5988E-02 4.5927E-01 5.0526E-01 1.9425E-02 3.4369E-01 0.4224 0.7483 0.6418 5.6520E-02 23 6.11 5.50 4.5722E-02 4.0449E-01 4.5021E-01 1.8980E-02 2.9887E-01 0.4151 0.7389 0.6217 6.3507E-02 25 7.00 6.00 4.3752E-02 3.5258E-01 3.9633E-01 1.7711E-02 2.5563E-01 0.4048 0.7250 0.6003 6.9283E-02 27 7.96 6.50 3.8982E-02 3.0238E-01 3.4136E-01 1.5536E-02 2.1520E-01 0.3985 0.7117 0.5849 7.2192E-02 29 8.92 7.00 3.3248E-02 2.5770E-01 2.9095E-01 1.3119E-02 1.8080E-01 0.3946 0.7016 0.5763 7.2559E-02 31 9.84 7.50 2.6689E-02 2.1964E-01 2.4633E-01 1.0589E-02 1.5251E-01 0.3968 0.6944 0.5761 6.9436E-02 34 10.71 8.00 1.5304E-02 1.8692E-01 2.0222E-01 7.6522E-03 1.2924E-01 0.5000 0.6914 0.6013 5.9210E-02 K-functions (units of 1/meter) at 443.0 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 0.050 0.025 0.03024 0.17534 0.16879 0.04347 0.19357 0.19743 0.07119 0.500 0.550 0.525 0.02947 0.16930 0.16254 0.04777 0.19053 0.19449 0.07377 1.000 1.050 1.025 0.03793 0.17030 0.16347 0.05315 0.19103 0.19513 0.07600 1.500 1.550 1.525 0.04414 0.17463 0.16747 0.05656 0.19518 0.19961 0.07712 2.000 2.050 2.025 0.04226 0.18211 0.17394 0.05650 0.20288 0.20791 0.07692 2.500 2.550 2.525 0.05782 0.19314 0.18471 0.06705 0.21541 0.22092 0.08274 3.000 3.050 3.025 0.06933 0.20689 0.19775 0.07292 0.22958 0.23587 0.08526 3.500 3.550 3.525 0.07330 0.22123 0.21074 0.07211 0.24365 0.25114 0.08407 4.000 4.050 4.025 0.06313 0.23409 0.22105 0.06283 0.25579 0.26506 0.07966 4.500 4.550 4.525 0.04767 0.24431 0.22800 0.05134 0.26569 0.27715 0.07701 5.000 5.050 5.025 0.00282 0.24980 0.22719 0.03073 0.27146 0.28597 0.07534 5.500 5.550 5.525 0.01367 0.25993 0.23478 0.06868 0.29023 0.30534 0.11741 6.000 6.050 6.025 0.19116 0.29659 0.28492 0.22600 0.33821 0.34659 0.22979 6.500 6.550 6.525 0.28474 0.31762 0.31386 0.30911 0.35043 0.35365 0.26619 7.000 7.050 7.025 0.36931 0.32080 0.32634 0.38004 0.34495 0.34221 0.26738 7.500 7.550 7.525 0.57071 0.31832 0.34552 0.50692 0.33487 0.32210 0.25045 7.950 8.000 7.975 2.92793 0.34254 0.55034 0.90372 0.33015 0.29350 0.20585 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 443.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 9.71083E-02 3.63995E-03 2.31111E-03 5.95106E-03 3.39585E-03 0.023799 9 1 10.0 0.0 180.0 8.37856E-02 3.71290E-03 1.81121E-03 5.52412E-03 3.46391E-03 0.021617 9 4 10.0 45.0 135.0 8.63206E-02 3.68650E-03 1.87968E-03 5.56618E-03 3.43928E-03 0.021776 9 7 10.0 90.0 90.0 9.51574E-02 3.65702E-03 2.19118E-03 5.84820E-03 3.41178E-03 0.023027 8 1 20.0 0.0 180.0 7.73256E-02 3.74623E-03 1.66427E-03 5.41050E-03 3.49500E-03 0.021523 8 4 20.0 45.0 135.0 8.01423E-02 3.69985E-03 1.73516E-03 5.43501E-03 3.45174E-03 0.021651 8 7 20.0 90.0 90.0 9.17281E-02 3.66926E-03 2.04439E-03 5.71365E-03 3.42319E-03 0.022288 7 1 30.0 0.0 180.0 7.28522E-02 3.80565E-03 1.64754E-03 5.45319E-03 3.55044E-03 0.022615 7 4 30.0 45.0 135.0 7.54554E-02 3.78050E-03 1.70975E-03 5.49025E-03 3.52697E-03 0.022659 7 7 30.0 90.0 90.0 8.74503E-02 3.72724E-03 2.01310E-03 5.74034E-03 3.47729E-03 0.023020 6 1 40.0 0.0 180.0 7.01766E-02 3.82846E-03 1.85122E-03 5.67968E-03 3.57172E-03 0.026379 6 4 40.0 45.0 135.0 7.22510E-02 3.78804E-03 1.90260E-03 5.69064E-03 3.53401E-03 0.026333 6 7 40.0 90.0 90.0 8.33726E-02 3.72444E-03 2.21083E-03 5.93526E-03 3.47467E-03 0.026517 5 1 50.0 0.0 180.0 6.97986E-02 3.87500E-03 2.62872E-03 6.50372E-03 3.61514E-03 0.037661 5 4 50.0 45.0 135.0 7.08856E-02 3.79899E-03 2.64820E-03 6.44719E-03 3.54423E-03 0.037359 5 7 50.0 90.0 90.0 8.07079E-02 3.75766E-03 2.99622E-03 6.75388E-03 3.50567E-03 0.037124 4 1 60.0 0.0 180.0 7.32683E-02 3.79274E-03 5.22325E-03 9.01598E-03 3.53839E-03 0.071289 4 4 60.0 45.0 135.0 7.26899E-02 3.72181E-03 5.07430E-03 8.79611E-03 3.47222E-03 0.069808 4 7 60.0 90.0 90.0 8.03447E-02 3.71003E-03 5.49339E-03 9.20342E-03 3.46124E-03 0.068373 3 1 70.0 0.0 180.0 8.46011E-02 3.49921E-03 1.32953E-02 1.67945E-02 3.26455E-03 0.157153 3 4 70.0 45.0 135.0 8.10309E-02 3.45373E-03 1.25837E-02 1.60374E-02 3.22212E-03 0.155295 3 7 70.0 90.0 90.0 8.50171E-02 3.46796E-03 1.30438E-02 1.65118E-02 3.23540E-03 0.153426 2 1 80.0 0.0 180.0 1.16170E-01 2.93542E-03 3.29709E-02 3.59063E-02 2.73857E-03 0.283815 2 4 80.0 45.0 135.0 1.06343E-01 2.88716E-03 3.12409E-02 3.41280E-02 2.69354E-03 0.293775 2 7 80.0 90.0 90.0 1.02717E-01 2.89710E-03 3.13703E-02 3.42674E-02 2.70282E-03 0.305407 1 1 87.5 0.0 180.0 1.64756E-01 2.27028E-03 5.90183E-02 6.12886E-02 2.11803E-03 0.358217 1 4 87.5 45.0 135.0 1.45982E-01 2.09875E-03 5.73291E-02 5.94279E-02 1.95800E-03 0.392714 1 7 87.5 90.0 90.0 1.30429E-01 2.32051E-03 5.61016E-02 5.84221E-02 2.16489E-03 0.430133 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 443.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 5.951E-03 9.711E-02 1.130E-01 9.443E-02 1.695E-01 5.552E-03 9.391E+00 3.640E-03 3.396E-03 1 0.00 0.00 6.810E-03 1.750E-01 1.127E-02 1.281E-02 2.028E-02 6.538E-03 3.814E+00 3 0.34 0.50 6.568E-03 1.719E-01 1.003E-02 1.208E-02 2.165E-02 6.941E-03 3.867E+00 5 0.70 1.00 6.327E-03 1.689E-01 9.925E-03 1.220E-02 2.249E-02 7.354E-03 3.914E+00 7 1.09 1.50 6.089E-03 1.661E-01 9.791E-03 1.223E-02 2.297E-02 7.793E-03 3.957E+00 9 1.52 2.00 5.859E-03 1.631E-01 9.593E-03 1.216E-02 2.314E-02 8.280E-03 3.997E+00 11 2.02 2.50 5.630E-03 1.598E-01 9.435E-03 1.213E-02 2.329E-02 8.830E-03 4.034E+00 13 2.57 3.00 5.398E-03 1.561E-01 9.190E-03 1.195E-02 2.307E-02 9.458E-03 4.062E+00 15 3.19 3.50 5.173E-03 1.514E-01 8.854E-03 1.162E-02 2.244E-02 1.020E-02 4.087E+00 17 3.86 4.00 4.965E-03 1.457E-01 8.476E-03 1.119E-02 2.150E-02 1.109E-02 4.114E+00 19 4.58 4.50 4.774E-03 1.389E-01 8.138E-03 1.078E-02 2.046E-02 1.214E-02 4.156E+00 21 5.33 5.00 4.597E-03 1.312E-01 7.875E-03 1.044E-02 1.942E-02 1.338E-02 4.225E+00 23 6.11 5.50 4.389E-03 1.227E-01 8.035E-03 1.061E-02 1.917E-02 1.469E-02 4.324E+00 25 7.00 6.00 4.032E-03 1.128E-01 8.444E-03 1.108E-02 1.925E-02 1.577E-02 4.393E+00 27 7.96 6.50 3.563E-03 1.016E-01 8.083E-03 1.056E-02 1.766E-02 1.656E-02 4.360E+00 29 8.92 7.00 3.117E-03 9.015E-02 7.463E-03 9.601E-03 1.540E-02 1.724E-02 4.209E+00 31 9.84 7.50 2.735E-03 7.938E-02 6.631E-03 8.428E-03 1.304E-02 1.794E-02 3.871E+00 34 10.71 8.00 2.436E-03 6.962E-02 4.092E-03 4.845E-03 6.764E-03 1.885E-02 3.142E+00 Waveband 3 of 20 completed in 3.8 sec. * * * * * Output for wavelength band 4 (453.0 to 465.0 nm; nominal wavelength = 459.0 nm) * * * * * Index of refraction at this wavelength is 1.344 RADTRANX clear-sky spectral irradiances averaged over the band from 453.0 nm to 465.0 nm: Ed(diffuse) = 4.449E-01 Ed(direct) = 7.410E-01 Ed(total) = 1.186E+00 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 4.251E-01 Ed(direct) = 7.460E-01 Ed(total) = 1.171E+00 Absorption Coefficients of Individual Components at 459.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0098 0.0397 0.0766 0.0068 0.1329 3 0.323 0.500 0.0098 0.0434 0.0694 0.0071 0.1296 5 0.669 1.000 0.0098 0.0488 0.0628 0.0075 0.1288 7 1.048 1.500 0.0098 0.0562 0.0568 0.0078 0.1305 9 1.471 2.000 0.0098 0.0653 0.0514 0.0082 0.1346 11 1.949 2.500 0.0098 0.0756 0.0465 0.0095 0.1414 13 2.488 3.000 0.0098 0.0863 0.0421 0.0109 0.1490 15 3.090 3.500 0.0098 0.0963 0.0381 0.0122 0.1564 17 3.747 4.000 0.0098 0.1045 0.0344 0.0136 0.1623 19 4.448 4.500 0.0098 0.1099 0.0312 0.0156 0.1664 21 5.182 5.000 0.0098 0.1118 0.0282 0.0177 0.1674 23 5.953 5.500 0.0098 0.1099 0.0255 0.0272 0.1724 25 6.821 6.000 0.0098 0.1045 0.0231 0.0517 0.1890 27 7.769 6.500 0.0098 0.0963 0.0209 0.0612 0.1882 29 8.713 7.000 0.0098 0.0863 0.0189 0.0646 0.1796 31 9.620 7.500 0.0098 0.0756 0.0171 0.0666 0.1691 34 10.482 8.000 0.0098 0.0653 0.0155 0.0680 0.1585 Scattering Coefficients of Individual Components at 459.0 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 0.0042 0.4054 0.0000 0.0865 0.4962 3 0.323 0.500 0.0042 0.4412 0.0000 0.0909 0.5362 5 0.669 1.000 0.0042 0.4939 0.0000 0.0952 0.5933 7 1.048 1.500 0.0042 0.5647 0.0000 0.0995 0.6684 9 1.471 2.000 0.0042 0.6518 0.0000 0.1038 0.7599 11 1.949 2.500 0.0042 0.7500 0.0000 0.1212 0.8753 13 2.488 3.000 0.0042 0.8510 0.0000 0.1385 0.9936 15 3.090 3.500 0.0042 0.9449 0.0000 0.1558 1.1048 17 3.747 4.000 0.0042 1.0213 0.0000 0.1731 1.1986 19 4.448 4.500 0.0042 1.0713 0.0000 0.1990 1.2745 21 5.182 5.000 0.0042 1.0887 0.0000 0.2250 1.3179 23 5.953 5.500 0.0042 1.0713 0.0000 0.3461 1.4217 25 6.821 6.000 0.0042 1.0213 0.0000 0.6577 1.6832 27 7.769 6.500 0.0042 0.9449 0.0000 0.7788 1.7279 29 8.713 7.000 0.0042 0.8510 0.0000 0.8221 1.6773 31 9.620 7.500 0.0042 0.7500 0.0000 0.8481 1.6022 34 10.482 8.000 0.0042 0.6518 0.0000 0.8654 1.5214 Backscattering Coefficients of Individual Components at 459.0 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 0.00209 0.00203 0.00000 0.00284 0.00696 3 0.323 0.500 0.00209 0.00221 0.00000 0.00298 0.00728 5 0.669 1.000 0.00209 0.00247 0.00000 0.00313 0.00769 7 1.048 1.500 0.00209 0.00282 0.00000 0.00327 0.00818 9 1.471 2.000 0.00209 0.00326 0.00000 0.00341 0.00876 11 1.949 2.500 0.00209 0.00375 0.00000 0.00398 0.00982 13 2.488 3.000 0.00209 0.00425 0.00000 0.00455 0.01089 15 3.090 3.500 0.00209 0.00472 0.00000 0.00512 0.01193 17 3.747 4.000 0.00209 0.00511 0.00000 0.00568 0.01288 19 4.448 4.500 0.00209 0.00536 0.00000 0.00654 0.01398 21 5.182 5.000 0.00209 0.00544 0.00000 0.00739 0.01492 23 5.953 5.500 0.00209 0.00536 0.00000 0.01137 0.01881 25 6.821 6.000 0.00209 0.00511 0.00000 0.02160 0.02880 27 7.769 6.500 0.00209 0.00472 0.00000 0.02558 0.03239 29 8.713 7.000 0.00209 0.00425 0.00000 0.02700 0.03334 31 9.620 7.500 0.00209 0.00375 0.00000 0.02785 0.03369 34 10.482 8.000 0.00209 0.00326 0.00000 0.02842 0.03377 Summary of Inherent Optical Properties at 459.0 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 0.4962 0.6290 0.7888 0.00696 0.01403 3 0.323 0.500 0.1296 0.5362 0.6658 0.8054 0.00728 0.01358 5 0.669 1.000 0.1288 0.5933 0.7220 0.8216 0.00769 0.01296 7 1.048 1.500 0.1305 0.6684 0.7989 0.8366 0.00818 0.01224 9 1.471 2.000 0.1346 0.7599 0.8944 0.8496 0.00876 0.01153 11 1.949 2.500 0.1414 0.8753 1.0167 0.8609 0.00982 0.01122 13 2.488 3.000 0.1490 0.9936 1.1427 0.8696 0.01089 0.01096 15 3.090 3.500 0.1564 1.1048 1.2612 0.8760 0.01193 0.01080 17 3.747 4.000 0.1623 1.1986 1.3609 0.8807 0.01288 0.01075 19 4.448 4.500 0.1664 1.2745 1.4410 0.8845 0.01398 0.01097 21 5.182 5.000 0.1674 1.3179 1.4853 0.8873 0.01492 0.01132 23 5.953 5.500 0.1724 1.4217 1.5940 0.8919 0.01881 0.01323 25 6.821 6.000 0.1890 1.6832 1.8722 0.8990 0.02880 0.01711 27 7.769 6.500 0.1882 1.7279 1.9161 0.9018 0.03239 0.01875 29 8.713 7.000 0.1796 1.6773 1.8568 0.9033 0.03334 0.01988 31 9.620 7.500 0.1691 1.6022 1.7713 0.9045 0.03369 0.02103 34 10.482 8.000 0.1585 1.5214 1.6799 0.9057 0.03377 0.02220 The bottom reflectance at wavelength 459.0 nm is R = 0.063 Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 459.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.8244E-01 1.8412E+00 2.0237E+00 6.2572E-02 1.1711E+00 0.3430 0.6360 0.5478 5.3431E-02 1 0.00 0.00 7.2574E-02 1.3733E+00 1.4459E+00 3.2076E-02 1.1402E+00 0.4420 0.8303 0.7664 2.8131E-02 3 0.32 0.50 7.1936E-02 1.2756E+00 1.3475E+00 3.1545E-02 1.0484E+00 0.4385 0.8219 0.7546 3.0088E-02 5 0.67 1.00 7.1123E-02 1.1853E+00 1.2564E+00 3.0949E-02 9.6406E-01 0.4351 0.8133 0.7427 3.2102E-02 7 1.05 1.50 7.0074E-02 1.0995E+00 1.1696E+00 3.0301E-02 8.8505E-01 0.4324 0.8049 0.7308 3.4236E-02 9 1.47 2.00 6.8941E-02 1.0167E+00 1.0857E+00 2.9646E-02 8.0989E-01 0.4300 0.7966 0.7187 3.6605E-02 11 1.95 2.50 6.7690E-02 9.3577E-01 1.0035E+00 2.8947E-02 7.3730E-01 0.4276 0.7879 0.7059 3.9261E-02 13 2.49 3.00 6.6062E-02 8.5595E-01 9.2201E-01 2.8160E-02 6.6673E-01 0.4263 0.7789 0.6926 4.2236E-02 15 3.09 3.50 6.4239E-02 7.7748E-01 8.4172E-01 2.7360E-02 5.9865E-01 0.4259 0.7700 0.6787 4.5703E-02 17 3.75 4.00 6.2517E-02 7.0138E-01 7.6390E-01 2.6640E-02 5.3400E-01 0.4261 0.7613 0.6642 4.9887E-02 19 4.45 4.50 6.1168E-02 6.2906E-01 6.9022E-01 2.6052E-02 4.7365E-01 0.4259 0.7530 0.6485 5.5003E-02 21 5.18 5.00 6.0561E-02 5.6184E-01 6.2240E-01 2.5659E-02 4.1848E-01 0.4237 0.7448 0.6311 6.1314E-02 23 5.95 5.50 6.0535E-02 5.0020E-01 5.6073E-01 2.5193E-02 3.6775E-01 0.4162 0.7352 0.6109 6.8507E-02 25 6.82 6.00 5.8318E-02 4.4141E-01 4.9972E-01 2.3658E-02 3.1827E-01 0.4057 0.7210 0.5895 7.4333E-02 27 7.77 6.50 5.2403E-02 3.8367E-01 4.3608E-01 2.0916E-02 2.7139E-01 0.3991 0.7073 0.5744 7.7068E-02 29 8.71 7.00 4.5048E-02 3.3133E-01 3.7638E-01 1.7795E-02 2.3094E-01 0.3950 0.6970 0.5663 7.7055E-02 31 9.62 7.50 3.6402E-02 2.8594E-01 3.2234E-01 1.4468E-02 1.9719E-01 0.3975 0.6896 0.5669 7.3373E-02 34 10.48 8.00 2.1131E-02 2.4613E-01 2.6726E-01 1.0566E-02 1.6903E-01 0.5000 0.6867 0.5929 6.2508E-02 K-functions (units of 1/meter) at 459.0 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 0.050 0.025 0.02112 0.15152 0.14495 0.03217 0.16888 0.17285 0.05695 0.500 0.550 0.525 0.01920 0.14616 0.13937 0.03594 0.16733 0.17142 0.05944 1.000 1.050 1.025 0.02688 0.14815 0.14126 0.04076 0.16902 0.17329 0.06152 1.500 1.550 1.525 0.03235 0.15324 0.14597 0.04364 0.17404 0.17868 0.06254 2.000 2.050 2.025 0.03023 0.16122 0.15287 0.04332 0.18228 0.18758 0.06237 2.500 2.550 2.525 0.04440 0.17231 0.16365 0.05255 0.19492 0.20076 0.06769 3.000 3.050 3.025 0.05381 0.18590 0.17641 0.05746 0.20902 0.21573 0.07017 3.500 3.550 3.525 0.05692 0.20007 0.18911 0.05652 0.22296 0.23096 0.06956 4.000 4.050 4.025 0.04799 0.21282 0.19928 0.04826 0.23504 0.24489 0.06632 4.500 4.550 4.525 0.03503 0.22298 0.20626 0.03852 0.24494 0.25702 0.06503 5.000 5.050 5.025 -0.00826 0.22854 0.20538 0.02093 0.25087 0.26598 0.06494 5.500 5.550 5.525 0.00371 0.23636 0.21112 0.05870 0.26847 0.28398 0.10576 6.000 6.050 6.025 0.17429 0.27002 0.25882 0.21035 0.31277 0.32102 0.21298 6.500 6.550 6.525 0.26786 0.29066 0.28792 0.29337 0.32449 0.32709 0.24887 7.000 7.050 7.025 0.35469 0.29507 0.30219 0.36562 0.31996 0.31615 0.25125 7.500 7.550 7.525 0.55786 0.29444 0.32402 0.49157 0.31124 0.29703 0.23620 7.950 8.000 7.975 2.84744 0.32137 0.53313 0.86979 0.30803 0.27001 0.19478 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 459.0 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 1.06094E-01 4.49209E-03 2.51144E-03 7.00354E-03 3.83591E-03 0.023672 9 1 10.0 0.0 180.0 9.15383E-02 4.57020E-03 1.96821E-03 6.53840E-03 3.90261E-03 0.021501 9 4 10.0 45.0 135.0 9.43078E-02 4.54183E-03 2.04261E-03 6.58444E-03 3.87838E-03 0.021659 9 7 10.0 90.0 90.0 1.03962E-01 4.51500E-03 2.38111E-03 6.89611E-03 3.85547E-03 0.022904 8 1 20.0 0.0 180.0 8.44806E-02 4.60483E-03 1.80858E-03 6.41341E-03 3.93218E-03 0.021408 8 4 20.0 45.0 135.0 8.75579E-02 4.55486E-03 1.88562E-03 6.44048E-03 3.88951E-03 0.021536 8 7 20.0 90.0 90.0 1.00216E-01 4.53256E-03 2.22166E-03 6.75422E-03 3.87046E-03 0.022169 7 1 30.0 0.0 180.0 7.95933E-02 4.67280E-03 1.79061E-03 6.46341E-03 3.99022E-03 0.022497 7 4 30.0 45.0 135.0 8.24373E-02 4.65164E-03 1.85822E-03 6.50986E-03 3.97215E-03 0.022541 7 7 30.0 90.0 90.0 9.55421E-02 4.60822E-03 2.18791E-03 6.79613E-03 3.93507E-03 0.022900 6 1 40.0 0.0 180.0 7.66701E-02 4.69702E-03 2.01269E-03 6.70971E-03 4.01090E-03 0.026251 6 4 40.0 45.0 135.0 7.89364E-02 4.66028E-03 2.06854E-03 6.72882E-03 3.97953E-03 0.026205 6 7 40.0 90.0 90.0 9.10871E-02 4.61089E-03 2.40364E-03 7.01453E-03 3.93736E-03 0.026388 5 1 50.0 0.0 180.0 7.62571E-02 4.75254E-03 2.86026E-03 7.61279E-03 4.05831E-03 0.037508 5 4 50.0 45.0 135.0 7.74447E-02 4.67270E-03 2.88141E-03 7.55411E-03 3.99014E-03 0.037206 5 7 50.0 90.0 90.0 8.81758E-02 4.65586E-03 3.26001E-03 7.91587E-03 3.97576E-03 0.036972 4 1 60.0 0.0 180.0 8.00478E-02 4.64934E-03 5.68992E-03 1.03393E-02 3.97018E-03 0.071082 4 4 60.0 45.0 135.0 7.94159E-02 4.57931E-03 5.52750E-03 1.01068E-02 3.91039E-03 0.069602 4 7 60.0 90.0 90.0 8.77790E-02 4.60237E-03 5.98376E-03 1.05861E-02 3.93008E-03 0.068168 3 1 70.0 0.0 180.0 9.24293E-02 4.28747E-03 1.44989E-02 1.87863E-02 3.66118E-03 0.156864 3 4 70.0 45.0 135.0 8.85287E-02 4.24784E-03 1.37225E-02 1.79704E-02 3.62734E-03 0.155007 3 7 70.0 90.0 90.0 9.28838E-02 4.30374E-03 1.42237E-02 1.85275E-02 3.67507E-03 0.153135 2 1 80.0 0.0 180.0 1.26919E-01 3.59710E-03 3.59832E-02 3.95803E-02 3.07165E-03 0.283512 2 4 80.0 45.0 135.0 1.16183E-01 3.55311E-03 3.40949E-02 3.76480E-02 3.03409E-03 0.293460 2 7 80.0 90.0 90.0 1.12221E-01 3.59538E-03 3.42354E-02 3.78308E-02 3.07018E-03 0.305071 1 1 87.5 0.0 180.0 1.80001E-01 2.77830E-03 6.44372E-02 6.72155E-02 2.37246E-03 0.357983 1 4 87.5 45.0 135.0 1.59490E-01 2.57732E-03 6.25933E-02 6.51706E-02 2.20084E-03 0.392460 1 7 87.5 90.0 90.0 1.42497E-01 2.87893E-03 6.12523E-02 6.41313E-02 2.45839E-03 0.429849 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 459.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 7.004E-03 1.061E-01 1.236E-01 1.033E-01 1.854E-01 5.980E-03 8.934E+00 4.492E-03 3.836E-03 1 0.00 0.00 8.391E-03 1.910E-01 1.368E-02 1.571E-02 2.482E-02 7.359E-03 3.823E+00 3 0.32 0.50 8.151E-03 1.893E-01 1.222E-02 1.479E-02 2.634E-02 7.775E-03 3.870E+00 5 0.67 1.00 7.909E-03 1.878E-01 1.213E-02 1.498E-02 2.747E-02 8.204E-03 3.913E+00 7 1.05 1.50 7.667E-03 1.862E-01 1.202E-02 1.508E-02 2.819E-02 8.663E-03 3.952E+00 9 1.47 2.00 7.431E-03 1.844E-01 1.184E-02 1.506E-02 2.856E-02 9.176E-03 3.989E+00 11 1.95 2.50 7.194E-03 1.823E-01 1.171E-02 1.509E-02 2.890E-02 9.757E-03 4.024E+00 13 2.49 3.00 6.949E-03 1.795E-01 1.149E-02 1.497E-02 2.882E-02 1.042E-02 4.052E+00 15 3.09 3.50 6.710E-03 1.757E-01 1.116E-02 1.467E-02 2.825E-02 1.121E-02 4.078E+00 17 3.75 4.00 6.485E-03 1.707E-01 1.077E-02 1.425E-02 2.730E-02 1.214E-02 4.108E+00 19 4.45 4.50 6.275E-03 1.642E-01 1.043E-02 1.384E-02 2.622E-02 1.325E-02 4.152E+00 21 5.18 5.00 6.077E-03 1.566E-01 1.020E-02 1.353E-02 2.516E-02 1.452E-02 4.222E+00 23 5.95 5.50 5.834E-03 1.479E-01 1.046E-02 1.383E-02 2.497E-02 1.586E-02 4.319E+00 25 6.82 6.00 5.397E-03 1.376E-01 1.113E-02 1.461E-02 2.538E-02 1.696E-02 4.383E+00 27 7.77 6.50 4.810E-03 1.254E-01 1.082E-02 1.409E-02 2.353E-02 1.772E-02 4.348E+00 29 8.71 7.00 4.244E-03 1.127E-01 1.005E-02 1.295E-02 2.081E-02 1.837E-02 4.194E+00 31 9.62 7.50 3.753E-03 1.005E-01 9.017E-03 1.147E-02 1.779E-02 1.903E-02 3.855E+00 34 10.48 8.00 3.363E-03 8.913E-02 5.616E-03 6.652E-03 9.305E-03 1.990E-02 3.142E+00 Waveband 4 of 20 completed in 3.7 sec. * * * * * Output for wavelength band 5 (465.0 to 480.0 nm; nominal wavelength = 472.5 nm) * * * * * Index of refraction at this wavelength is 1.343 RADTRANX clear-sky spectral irradiances averaged over the band from 465.0 nm to 480.0 nm: Ed(diffuse) = 4.357E-01 Ed(direct) = 7.704E-01 Ed(total) = 1.206E+00 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 4.323E-01 Ed(direct) = 7.587E-01 Ed(total) = 1.191E+00 Absorption Coefficients of Individual Components at 472.5 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 0.0110 0.0370 0.0634 0.0062 0.1176 3 0.312 0.500 0.0110 0.0404 0.0574 0.0065 0.1153 5 0.647 1.000 0.0110 0.0455 0.0519 0.0068 0.1152 7 1.015 1.500 0.0110 0.0523 0.0470 0.0071 0.1175 9 1.426 2.000 0.0110 0.0608 0.0425 0.0074 0.1218 11 1.892 2.500 0.0110 0.0705 0.0385 0.0087 0.1286 13 2.419 3.000 0.0110 0.0805 0.0348 0.0099 0.1362 15 3.006 3.500 0.0110 0.0898 0.0315 0.0112 0.1435 17 3.648 4.000 0.0110 0.0974 0.0285 0.0124 0.1493 19 4.335 4.500 0.0110 0.1024 0.0258 0.0143 0.1535 21 5.052 5.000 0.0110 0.1042 0.0233 0.0161 0.1546 23 5.808 5.500 0.0110 0.1024 0.0211 0.0248 0.1594 25 6.658 6.000 0.0110 0.0974 0.0191 0.0472 0.1747 27 7.587 6.500 0.0110 0.0898 0.0173 0.0558 0.1739 29 8.512 7.000 0.0110 0.0805 0.0156 0.0589 0.1660 31 9.402 7.500 0.0110 0.0705 0.0142 0.0608 0.1564 34 10.247 8.000 0.0110 0.0608 0.0128 0.0620 0.1467 Scattering Coefficients of Individual Components at 472.5 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 0.0037 0.3999 0.0000 0.0854 0.4890 3 0.312 0.500 0.0037 0.4351 0.0000 0.0896 0.5285 5 0.647 1.000 0.0037 0.4871 0.0000 0.0939 0.5847 7 1.015 1.500 0.0037 0.5570 0.0000 0.0982 0.6588 9 1.426 2.000 0.0037 0.6429 0.0000 0.1025 0.7490 11 1.892 2.500 0.0037 0.7397 0.0000 0.1195 0.8629 13 2.419 3.000 0.0037 0.8393 0.0000 0.1366 0.9796 15 3.006 3.500 0.0037 0.9319 0.0000 0.1537 1.0893 17 3.648 4.000 0.0037 1.0073 0.0000 0.1708 1.1818 19 4.335 4.500 0.0037 1.0566 0.0000 0.1964 1.2567 21 5.052 5.000 0.0037 1.0738 0.0000 0.2220 1.2995 23 5.808 5.500 0.0037 1.0566 0.0000 0.3415 1.4018 25 6.658 6.000 0.0037 1.0073 0.0000 0.6489 1.6599 27 7.587 6.500 0.0037 0.9319 0.0000 0.7684 1.7040 29 8.512 7.000 0.0037 0.8393 0.0000 0.8111 1.6541 31 9.402 7.500 0.0037 0.7397 0.0000 0.8367 1.5801 34 10.247 8.000 0.0037 0.6429 0.0000 0.8538 1.5004 Backscattering Coefficients of Individual Components at 472.5 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 0.00184 0.00200 0.00000 0.00276 0.00661 3 0.312 0.500 0.00184 0.00218 0.00000 0.00290 0.00692 5 0.647 1.000 0.00184 0.00244 0.00000 0.00304 0.00732 7 1.015 1.500 0.00184 0.00278 0.00000 0.00318 0.00781 9 1.426 2.000 0.00184 0.00321 0.00000 0.00332 0.00838 11 1.892 2.500 0.00184 0.00370 0.00000 0.00387 0.00941 13 2.419 3.000 0.00184 0.00420 0.00000 0.00442 0.01046 15 3.006 3.500 0.00184 0.00466 0.00000 0.00497 0.01148 17 3.648 4.000 0.00184 0.00504 0.00000 0.00553 0.01241 19 4.335 4.500 0.00184 0.00528 0.00000 0.00636 0.01348 21 5.052 5.000 0.00184 0.00537 0.00000 0.00718 0.01440 23 5.808 5.500 0.00184 0.00528 0.00000 0.01105 0.01818 25 6.658 6.000 0.00184 0.00504 0.00000 0.02100 0.02788 27 7.587 6.500 0.00184 0.00466 0.00000 0.02487 0.03138 29 8.512 7.000 0.00184 0.00420 0.00000 0.02625 0.03229 31 9.402 7.500 0.00184 0.00370 0.00000 0.02708 0.03262 34 10.247 8.000 0.00184 0.00321 0.00000 0.02763 0.03269 Summary of Inherent Optical Properties at 472.5 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 0.1176 0.4890 0.6066 0.8061 0.00661 0.01351 3 0.312 0.500 0.1153 0.5285 0.6438 0.8209 0.00692 0.01310 5 0.647 1.000 0.1152 0.5847 0.7000 0.8354 0.00732 0.01252 7 1.015 1.500 0.1175 0.6588 0.7763 0.8487 0.00781 0.01185 9 1.426 2.000 0.1218 0.7490 0.8709 0.8601 0.00838 0.01118 11 1.892 2.500 0.1286 0.8629 0.9916 0.8703 0.00941 0.01091 13 2.419 3.000 0.1362 0.9796 1.1158 0.8779 0.01046 0.01068 15 3.006 3.500 0.1435 1.0893 1.2328 0.8836 0.01148 0.01054 17 3.648 4.000 0.1493 1.1818 1.3311 0.8878 0.01241 0.01050 19 4.335 4.500 0.1535 1.2567 1.4102 0.8912 0.01348 0.01073 21 5.052 5.000 0.1546 1.2995 1.4541 0.8937 0.01440 0.01108 23 5.808 5.500 0.1594 1.4018 1.5612 0.8979 0.01818 0.01297 25 6.658 6.000 0.1747 1.6599 1.8346 0.9048 0.02788 0.01680 27 7.587 6.500 0.1739 1.7040 1.8779 0.9074 0.03138 0.01841 29 8.512 7.000 0.1660 1.6541 1.8201 0.9088 0.03229 0.01952 31 9.402 7.500 0.1564 1.5801 1.7365 0.9099 0.03262 0.02065 34 10.247 8.000 0.1467 1.5004 1.6471 0.9109 0.03269 0.02179 The bottom reflectance at wavelength 472.5 nm is R = 0.065 Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 472.5 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.8852E-01 1.8726E+00 2.0611E+00 6.5206E-02 1.1910E+00 0.3459 0.6360 0.5462 5.4750E-02 1 0.00 0.00 8.2098E-02 1.4037E+00 1.4858E+00 3.6360E-02 1.1618E+00 0.4429 0.8277 0.7575 3.1296E-02 3 0.31 0.50 8.1547E-02 1.3152E+00 1.3968E+00 3.5861E-02 1.0780E+00 0.4398 0.8196 0.7461 3.3268E-02 5 0.65 1.00 8.0846E-02 1.2327E+00 1.3135E+00 3.5297E-02 9.9979E-01 0.4366 0.8111 0.7343 3.5304E-02 7 1.02 1.50 7.9907E-02 1.1530E+00 1.2330E+00 3.4680E-02 9.2554E-01 0.4340 0.8027 0.7225 3.7470E-02 9 1.43 2.00 7.8890E-02 1.0750E+00 1.1539E+00 3.4057E-02 8.5390E-01 0.4317 0.7943 0.7105 3.9884E-02 11 1.89 2.50 7.7758E-02 9.9759E-01 1.0753E+00 3.3387E-02 7.8374E-01 0.4294 0.7856 0.6978 4.2599E-02 13 2.42 3.00 7.6229E-02 9.2016E-01 9.9639E-01 3.2623E-02 7.1462E-01 0.4280 0.7766 0.6845 4.5651E-02 15 3.01 3.50 7.4500E-02 8.4299E-01 9.1749E-01 3.1842E-02 6.4709E-01 0.4274 0.7676 0.6706 4.9207E-02 17 3.65 4.00 7.2871E-02 7.6715E-01 8.4002E-01 3.1136E-02 5.8218E-01 0.4273 0.7589 0.6560 5.3482E-02 19 4.33 4.50 7.1622E-02 6.9416E-01 7.6578E-01 3.0559E-02 5.2089E-01 0.4267 0.7504 0.6403 5.8666E-02 21 5.05 5.00 7.1150E-02 6.2552E-01 6.9667E-01 3.0170E-02 4.6423E-01 0.4240 0.7421 0.6230 6.4989E-02 23 5.81 5.50 7.1262E-02 5.6193E-01 6.3319E-01 2.9673E-02 4.1158E-01 0.4164 0.7324 0.6031 7.2095E-02 25 6.66 6.00 6.8855E-02 5.0070E-01 5.6956E-01 2.7956E-02 3.5964E-01 0.4060 0.7183 0.5824 7.7732E-02 27 7.59 6.50 6.2217E-02 4.3979E-01 5.0201E-01 2.4850E-02 3.0987E-01 0.3994 0.7046 0.5678 8.0196E-02 29 8.51 7.00 5.3793E-02 3.8376E-01 4.3755E-01 2.1266E-02 2.6641E-01 0.3953 0.6942 0.5603 7.9825E-02 31 9.40 7.50 4.3700E-02 3.3446E-01 3.7816E-01 1.7398E-02 2.2971E-01 0.3981 0.6868 0.5614 7.5739E-02 34 10.25 8.00 2.5670E-02 2.9055E-01 3.1622E-01 1.2835E-02 1.9873E-01 0.5000 0.6840 0.5879 6.4585E-02 K-functions (units of 1/meter) at 472.5 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 0.050 0.025 0.01744 0.13392 0.12747 0.02674 0.15037 0.15438 0.04938 0.500 0.550 0.525 0.01424 0.12884 0.12213 0.02976 0.14974 0.15388 0.05159 1.000 1.050 1.025 0.02090 0.13131 0.12450 0.03394 0.15213 0.15646 0.05344 1.500 1.550 1.525 0.02559 0.13673 0.12951 0.03633 0.15758 0.16231 0.05436 2.000 2.050 2.025 0.02332 0.14482 0.13649 0.03587 0.16600 0.17142 0.05427 2.500 2.550 2.525 0.03538 0.15571 0.14699 0.04395 0.17848 0.18449 0.05918 3.000 3.050 3.025 0.04406 0.16896 0.15938 0.04831 0.19228 0.19920 0.06169 3.500 3.550 3.525 0.04662 0.18275 0.17166 0.04754 0.20591 0.21414 0.06160 4.000 4.050 4.025 0.03863 0.19521 0.18158 0.04045 0.21775 0.22782 0.05936 4.500 4.550 4.525 0.02692 0.20519 0.18845 0.03241 0.22752 0.23974 0.05909 5.000 5.050 5.025 -0.01213 0.21082 0.18793 0.01778 0.23352 0.24860 0.06009 5.500 5.550 5.525 -0.00099 0.21821 0.19342 0.05508 0.25037 0.26562 0.09920 6.000 6.050 6.025 0.16373 0.24935 0.23898 0.20010 0.29221 0.29999 0.20059 6.500 6.550 6.525 0.25699 0.26959 0.26802 0.28180 0.30364 0.30554 0.23504 7.000 7.050 7.025 0.34383 0.27481 0.28328 0.35386 0.29988 0.29520 0.23774 7.500 7.550 7.525 0.54570 0.27542 0.30647 0.47725 0.29224 0.27715 0.22387 7.950 8.000 7.975 2.76555 0.30376 0.51530 0.83663 0.29008 0.25178 0.18524 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 472.5 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 1.07899E-01 5.08818E-03 2.54365E-03 7.63183E-03 4.27223E-03 0.023574 9 1 10.0 0.0 180.0 9.30957E-02 5.16678E-03 1.99344E-03 7.16022E-03 4.33823E-03 0.021413 9 4 10.0 45.0 135.0 9.59124E-02 5.13826E-03 2.06879E-03 7.20705E-03 4.31428E-03 0.021570 9 7 10.0 90.0 90.0 1.05731E-01 5.11588E-03 2.41164E-03 7.52752E-03 4.29549E-03 0.022809 8 1 20.0 0.0 180.0 8.59179E-02 5.20086E-03 1.83181E-03 7.03267E-03 4.36685E-03 0.021321 8 4 20.0 45.0 135.0 8.90476E-02 5.15052E-03 1.90983E-03 7.06036E-03 4.32458E-03 0.021447 8 7 20.0 90.0 90.0 1.01921E-01 5.13824E-03 2.25020E-03 7.38844E-03 4.31427E-03 0.022078 7 1 30.0 0.0 180.0 8.09475E-02 5.27386E-03 1.81377E-03 7.08763E-03 4.42814E-03 0.022407 7 4 30.0 45.0 135.0 8.38399E-02 5.25842E-03 1.88226E-03 7.14068E-03 4.41518E-03 0.022451 7 7 30.0 90.0 90.0 9.71677E-02 5.22794E-03 2.21621E-03 7.44415E-03 4.38958E-03 0.022808 6 1 40.0 0.0 180.0 7.79745E-02 5.29907E-03 2.03929E-03 7.33836E-03 4.44931E-03 0.026153 6 4 40.0 45.0 135.0 8.02794E-02 5.26886E-03 2.09587E-03 7.36473E-03 4.42394E-03 0.026107 6 7 40.0 90.0 90.0 9.26368E-02 5.23716E-03 2.43539E-03 7.67255E-03 4.39733E-03 0.026290 5 1 50.0 0.0 180.0 7.75545E-02 5.36164E-03 2.89982E-03 8.26145E-03 4.50184E-03 0.037391 5 4 50.0 45.0 135.0 7.87624E-02 5.28331E-03 2.92123E-03 8.20454E-03 4.43608E-03 0.037089 5 7 50.0 90.0 90.0 8.96760E-02 5.29250E-03 3.30500E-03 8.59750E-03 4.44379E-03 0.036855 4 1 60.0 0.0 180.0 8.14097E-02 5.24466E-03 5.77377E-03 1.10184E-02 4.40362E-03 0.070922 4 4 60.0 45.0 135.0 8.07671E-02 5.18047E-03 5.60883E-03 1.07893E-02 4.34973E-03 0.069445 4 7 60.0 90.0 90.0 8.92725E-02 5.23742E-03 6.07160E-03 1.13090E-02 4.39755E-03 0.068012 3 1 70.0 0.0 180.0 9.40019E-02 4.83619E-03 1.47248E-02 1.95610E-02 4.06065E-03 0.156644 3 4 70.0 45.0 135.0 9.00349E-02 4.80554E-03 1.39361E-02 1.87417E-02 4.03492E-03 0.154786 3 7 70.0 90.0 90.0 9.44641E-02 4.89997E-03 1.44447E-02 1.93447E-02 4.11421E-03 0.152912 2 1 80.0 0.0 180.0 1.29079E-01 4.05899E-03 3.65655E-02 4.06245E-02 3.40809E-03 0.283281 2 4 80.0 45.0 135.0 1.18159E-01 4.02256E-03 3.46464E-02 3.86690E-02 3.37750E-03 0.293218 2 7 80.0 90.0 90.0 1.14130E-01 4.09418E-03 3.47885E-02 3.88827E-02 3.43764E-03 0.304814 1 1 87.5 0.0 180.0 1.83063E-01 3.13255E-03 6.55008E-02 6.86334E-02 2.63022E-03 0.357805 1 4 87.5 45.0 135.0 1.62203E-01 2.91370E-03 6.36267E-02 6.65404E-02 2.44646E-03 0.392266 1 7 87.5 90.0 90.0 1.44922E-01 3.27789E-03 6.22631E-02 6.55409E-02 2.75224E-03 0.429633 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 472.5 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 7.632E-03 1.079E-01 1.258E-01 1.052E-01 1.887E-01 6.408E-03 8.544E+00 5.088E-03 4.272E-03 1 0.00 0.00 9.493E-03 1.940E-01 1.535E-02 1.772E-02 2.782E-02 8.171E-03 3.830E+00 3 0.31 0.50 9.257E-03 1.936E-01 1.373E-02 1.663E-02 2.929E-02 8.588E-03 3.874E+00 5 0.65 1.00 9.018E-03 1.933E-01 1.365E-02 1.685E-02 3.060E-02 9.019E-03 3.914E+00 7 1.02 1.50 8.778E-03 1.929E-01 1.355E-02 1.699E-02 3.149E-02 9.484E-03 3.951E+00 9 1.43 2.00 8.542E-03 1.923E-01 1.339E-02 1.702E-02 3.202E-02 1.000E-02 3.987E+00 11 1.89 2.50 8.304E-03 1.913E-01 1.329E-02 1.711E-02 3.253E-02 1.059E-02 4.021E+00 13 2.42 3.00 8.056E-03 1.897E-01 1.308E-02 1.703E-02 3.260E-02 1.127E-02 4.049E+00 15 3.01 3.50 7.811E-03 1.870E-01 1.277E-02 1.678E-02 3.216E-02 1.207E-02 4.077E+00 17 3.65 4.00 7.577E-03 1.829E-01 1.240E-02 1.640E-02 3.130E-02 1.302E-02 4.109E+00 19 4.33 4.50 7.356E-03 1.774E-01 1.208E-02 1.603E-02 3.029E-02 1.412E-02 4.154E+00 21 5.05 5.00 7.143E-03 1.705E-01 1.188E-02 1.577E-02 2.928E-02 1.539E-02 4.224E+00 23 5.81 5.50 6.876E-03 1.623E-01 1.227E-02 1.620E-02 2.923E-02 1.671E-02 4.315E+00 25 6.66 6.00 6.391E-03 1.524E-01 1.307E-02 1.716E-02 2.982E-02 1.777E-02 4.374E+00 27 7.59 6.50 5.734E-03 1.405E-01 1.272E-02 1.665E-02 2.794E-02 1.850E-02 4.334E+00 29 8.51 7.00 5.093E-03 1.276E-01 1.195E-02 1.542E-02 2.488E-02 1.912E-02 4.176E+00 31 9.40 7.50 4.533E-03 1.149E-01 1.080E-02 1.376E-02 2.143E-02 1.974E-02 3.838E+00 34 10.25 8.00 4.086E-03 1.029E-01 6.785E-03 8.043E-03 1.130E-02 2.056E-02 3.142E+00 Waveband 5 of 20 completed in 3.7 sec. * * * * * Output for wavelength band 6 (480.0 to 500.0 nm; nominal wavelength = 490.0 nm) * * * * * Index of refraction at this wavelength is 1.342 RADTRANX clear-sky spectral irradiances averaged over the band from 480.0 nm to 500.0 nm: Ed(diffuse) = 4.084E-01 Ed(direct) = 7.741E-01 Ed(total) = 1.183E+00 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 4.239E-01 Ed(direct) = 7.439E-01 Ed(total) = 1.168E+00 Absorption Coefficients of Individual Components at 490.0 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 0.0150 0.0326 0.0497 0.0054 0.1027 3 0.300 0.500 0.0150 0.0357 0.0449 0.0057 0.1013 5 0.622 1.000 0.0150 0.0401 0.0407 0.0060 0.1018 7 0.978 1.500 0.0150 0.0462 0.0368 0.0063 0.1042 9 1.375 2.000 0.0150 0.0537 0.0333 0.0065 0.1085 11 1.826 2.500 0.0150 0.0622 0.0301 0.0076 0.1149 13 2.337 3.000 0.0150 0.0710 0.0273 0.0087 0.1219 15 2.908 3.500 0.0150 0.0792 0.0247 0.0098 0.1287 17 3.531 4.000 0.0150 0.0860 0.0223 0.0109 0.1341 19 4.198 4.500 0.0150 0.0904 0.0202 0.0125 0.1381 21 4.896 5.000 0.0150 0.0919 0.0183 0.0141 0.1393 23 5.630 5.500 0.0150 0.0904 0.0165 0.0218 0.1437 25 6.457 6.000 0.0150 0.0860 0.0150 0.0413 0.1573 27 7.360 6.500 0.0150 0.0792 0.0135 0.0490 0.1567 29 8.259 7.000 0.0150 0.0710 0.0122 0.0517 0.1499 31 9.123 7.500 0.0150 0.0622 0.0111 0.0533 0.1416 34 9.945 8.000 0.0150 0.0537 0.0100 0.0544 0.1331 Scattering Coefficients of Individual Components at 490.0 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 0.0032 0.3927 0.0000 0.0833 0.4792 3 0.300 0.500 0.0032 0.4273 0.0000 0.0875 0.5180 5 0.622 1.000 0.0032 0.4783 0.0000 0.0917 0.5731 7 0.978 1.500 0.0032 0.5469 0.0000 0.0958 0.6459 9 1.375 2.000 0.0032 0.6313 0.0000 0.1000 0.7345 11 1.826 2.500 0.0032 0.7264 0.0000 0.1167 0.8462 13 2.337 3.000 0.0032 0.8242 0.0000 0.1333 0.9607 15 2.908 3.500 0.0032 0.9151 0.0000 0.1500 1.0683 17 3.531 4.000 0.0032 0.9892 0.0000 0.1667 1.1590 19 4.198 4.500 0.0032 1.0376 0.0000 0.1917 1.2324 21 4.896 5.000 0.0032 1.0544 0.0000 0.2167 1.2742 23 5.630 5.500 0.0032 1.0376 0.0000 0.3333 1.3741 25 6.457 6.000 0.0032 0.9892 0.0000 0.6333 1.6257 27 7.360 6.500 0.0032 0.9151 0.0000 0.7500 1.6683 29 8.259 7.000 0.0032 0.8242 0.0000 0.7917 1.6190 31 9.123 7.500 0.0032 0.7264 0.0000 0.8167 1.5462 34 9.945 8.000 0.0032 0.6313 0.0000 0.8333 1.4678 Backscattering Coefficients of Individual Components at 490.0 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 0.00158 0.00196 0.00000 0.00265 0.00619 3 0.300 0.500 0.00158 0.00214 0.00000 0.00278 0.00649 5 0.622 1.000 0.00158 0.00239 0.00000 0.00291 0.00688 7 0.978 1.500 0.00158 0.00273 0.00000 0.00305 0.00736 9 1.375 2.000 0.00158 0.00316 0.00000 0.00318 0.00791 11 1.826 2.500 0.00158 0.00363 0.00000 0.00371 0.00892 13 2.337 3.000 0.00158 0.00412 0.00000 0.00424 0.00993 15 2.908 3.500 0.00158 0.00458 0.00000 0.00477 0.01092 17 3.531 4.000 0.00158 0.00495 0.00000 0.00530 0.01182 19 4.198 4.500 0.00158 0.00519 0.00000 0.00609 0.01286 21 4.896 5.000 0.00158 0.00527 0.00000 0.00689 0.01373 23 5.630 5.500 0.00158 0.00519 0.00000 0.01059 0.01736 25 6.457 6.000 0.00158 0.00495 0.00000 0.02013 0.02665 27 7.360 6.500 0.00158 0.00458 0.00000 0.02384 0.02999 29 8.259 7.000 0.00158 0.00412 0.00000 0.02516 0.03086 31 9.123 7.500 0.00158 0.00363 0.00000 0.02596 0.03116 34 9.945 8.000 0.00158 0.00316 0.00000 0.02649 0.03122 Summary of Inherent Optical Properties at 490.0 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 0.1027 0.4792 0.5819 0.8235 0.00619 0.01291 3 0.300 0.500 0.1013 0.5180 0.6193 0.8364 0.00649 0.01254 5 0.622 1.000 0.1018 0.5731 0.6749 0.8492 0.00688 0.01201 7 0.978 1.500 0.1042 0.6459 0.7501 0.8611 0.00736 0.01139 9 1.375 2.000 0.1085 0.7345 0.8430 0.8713 0.00791 0.01077 11 1.826 2.500 0.1149 0.8462 0.9611 0.8804 0.00892 0.01054 13 2.337 3.000 0.1219 0.9607 1.0826 0.8874 0.00993 0.01034 15 2.908 3.500 0.1287 1.0683 1.1970 0.8925 0.01092 0.01022 17 3.531 4.000 0.1341 1.1590 1.2931 0.8963 0.01182 0.01020 19 4.198 4.500 0.1381 1.2324 1.3705 0.8993 0.01286 0.01043 21 4.896 5.000 0.1393 1.2742 1.4136 0.9014 0.01373 0.01078 23 5.630 5.500 0.1437 1.3741 1.5177 0.9053 0.01736 0.01263 25 6.457 6.000 0.1573 1.6257 1.7829 0.9118 0.02665 0.01639 27 7.360 6.500 0.1567 1.6683 1.8250 0.9141 0.02999 0.01798 29 8.259 7.000 0.1499 1.6190 1.7689 0.9153 0.03086 0.01906 31 9.123 7.500 0.1416 1.5462 1.6878 0.9161 0.03116 0.02016 34 9.945 8.000 0.1331 1.4678 1.6009 0.9169 0.03122 0.02127 The bottom reflectance at wavelength 490.0 nm is R = 0.068 Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 490.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.8837E-01 1.8361E+00 2.0245E+00 6.5794E-02 1.1678E+00 0.3493 0.6360 0.5443 5.6341E-02 1 0.00 0.00 8.9856E-02 1.3843E+00 1.4741E+00 3.9967E-02 1.1416E+00 0.4448 0.8247 0.7473 3.5009E-02 3 0.30 0.50 8.9538E-02 1.3080E+00 1.3975E+00 3.9585E-02 1.0687E+00 0.4421 0.8171 0.7364 3.7041E-02 5 0.62 1.00 8.9139E-02 1.2361E+00 1.3253E+00 3.9150E-02 9.9971E-01 0.4392 0.8087 0.7248 3.9161E-02 7 0.98 1.50 8.8537E-02 1.1660E+00 1.2545E+00 3.8667E-02 9.3330E-01 0.4367 0.8004 0.7131 4.1431E-02 9 1.38 2.00 8.7879E-02 1.0963E+00 1.1842E+00 3.8179E-02 8.6839E-01 0.4345 0.7921 0.7011 4.3966E-02 11 1.83 2.50 8.7118E-02 1.0263E+00 1.1134E+00 3.7642E-02 8.0403E-01 0.4321 0.7834 0.6883 4.6817E-02 13 2.34 3.00 8.5960E-02 9.5547E-01 1.0414E+00 3.7005E-02 7.3985E-01 0.4305 0.7743 0.6749 5.0017E-02 15 2.91 3.50 8.4588E-02 8.8394E-01 9.6852E-01 3.6340E-02 6.7641E-01 0.4296 0.7652 0.6609 5.3724E-02 17 3.53 4.00 8.3289E-02 8.1271E-01 8.9599E-01 3.5732E-02 6.1469E-01 0.4290 0.7563 0.6462 5.8130E-02 19 4.20 4.50 8.2341E-02 7.4323E-01 8.2557E-01 3.5230E-02 5.5570E-01 0.4279 0.7477 0.6304 6.3398E-02 21 4.90 5.00 8.2137E-02 6.7700E-01 7.5914E-01 3.4891E-02 5.0048E-01 0.4248 0.7393 0.6133 6.9716E-02 23 5.63 5.50 8.2479E-02 6.1494E-01 6.9742E-01 3.4398E-02 4.4852E-01 0.4171 0.7294 0.5938 7.6694E-02 25 6.46 6.00 7.9987E-02 5.5431E-01 6.3429E-01 3.2556E-02 3.9658E-01 0.4070 0.7155 0.5739 8.2091E-02 27 7.36 6.50 7.2836E-02 4.9332E-01 5.6616E-01 2.9169E-02 3.4611E-01 0.4005 0.7016 0.5598 8.4278E-02 29 8.26 7.00 6.3494E-02 4.3598E-01 4.9947E-01 2.5197E-02 3.0134E-01 0.3968 0.6912 0.5529 8.3616E-02 31 9.12 7.50 5.2074E-02 3.8455E-01 4.3662E-01 2.0860E-02 2.6294E-01 0.4006 0.6838 0.5544 7.9334E-02 34 9.94 8.00 3.1450E-02 3.3779E-01 3.6924E-01 1.5725E-02 2.3003E-01 0.5000 0.6810 0.5804 6.8360E-02 K-functions (units of 1/meter) at 490.0 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 0.050 0.025 0.01194 0.11708 0.11065 0.01881 0.13223 0.13636 0.03903 0.500 0.550 0.525 0.00670 0.11203 0.10527 0.02064 0.13238 0.13670 0.04076 1.000 1.050 1.025 0.01169 0.11466 0.10772 0.02382 0.13521 0.13976 0.04227 1.500 1.550 1.525 0.01518 0.11997 0.11256 0.02556 0.14073 0.14572 0.04306 2.000 2.050 2.025 0.01264 0.12763 0.11907 0.02499 0.14885 0.15457 0.04311 2.500 2.550 2.525 0.02297 0.13767 0.12867 0.03200 0.16059 0.16693 0.04768 3.000 3.050 3.025 0.03052 0.14987 0.13999 0.03600 0.17349 0.18075 0.05034 3.500 3.550 3.525 0.03283 0.16262 0.15125 0.03578 0.18620 0.19478 0.05095 4.000 4.050 4.025 0.02625 0.17426 0.16046 0.03039 0.19732 0.20767 0.04988 4.500 4.550 4.525 0.01635 0.18370 0.16695 0.02456 0.20658 0.21896 0.05071 5.000 5.050 5.025 -0.01642 0.18924 0.16689 0.01348 0.21246 0.22746 0.05272 5.500 5.550 5.525 -0.00290 0.19672 0.17301 0.05017 0.22826 0.24312 0.08912 6.000 6.050 6.025 0.14644 0.22086 0.21146 0.18503 0.26668 0.27400 0.18182 6.500 6.550 6.525 0.23968 0.24364 0.24313 0.26413 0.27792 0.27919 0.21312 7.000 7.050 7.025 0.32670 0.25011 0.25983 0.33321 0.27534 0.27007 0.21478 7.500 7.550 7.525 0.52174 0.25248 0.28440 0.44765 0.26927 0.25398 0.20111 7.950 8.000 7.975 2.58468 0.28215 0.48893 0.76823 0.26847 0.23130 0.16559 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 490.0 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 1.05797E-01 5.60711E-03 2.48195E-03 8.08906E-03 4.80147E-03 0.023460 9 1 10.0 0.0 180.0 9.12824E-02 5.68173E-03 1.94509E-03 7.62682E-03 4.86538E-03 0.021308 9 4 10.0 45.0 135.0 9.40442E-02 5.65452E-03 2.01861E-03 7.67313E-03 4.84208E-03 0.021464 9 7 10.0 90.0 90.0 1.03672E-01 5.63924E-03 2.35314E-03 7.99238E-03 4.82899E-03 0.022698 8 1 20.0 0.0 180.0 8.42444E-02 5.71228E-03 1.78742E-03 7.49970E-03 4.89153E-03 0.021217 8 4 20.0 45.0 135.0 8.73131E-02 5.66417E-03 1.86355E-03 7.52772E-03 4.85034E-03 0.021343 8 7 20.0 90.0 90.0 9.99356E-02 5.66583E-03 2.19567E-03 7.86150E-03 4.85176E-03 0.021971 7 1 30.0 0.0 180.0 7.93707E-02 5.78676E-03 1.77001E-03 7.55678E-03 4.95532E-03 0.022301 7 4 30.0 45.0 135.0 8.22069E-02 5.77977E-03 1.83685E-03 7.61662E-03 4.94933E-03 0.022344 7 7 30.0 90.0 90.0 9.52750E-02 5.76820E-03 2.16274E-03 7.93094E-03 4.93942E-03 0.022700 6 1 40.0 0.0 180.0 7.64557E-02 5.80966E-03 1.99074E-03 7.80040E-03 4.97492E-03 0.026038 6 4 40.0 45.0 135.0 7.87157E-02 5.78976E-03 2.04597E-03 7.83572E-03 4.95788E-03 0.025992 6 7 40.0 90.0 90.0 9.08324E-02 5.78351E-03 2.37738E-03 8.16089E-03 4.95253E-03 0.026173 5 1 50.0 0.0 180.0 7.60439E-02 5.87582E-03 2.83282E-03 8.70864E-03 5.03158E-03 0.037252 5 4 50.0 45.0 135.0 7.72282E-02 5.80371E-03 2.85369E-03 8.65740E-03 4.96983E-03 0.036951 5 7 50.0 90.0 90.0 8.79293E-02 5.84749E-03 3.22853E-03 9.07602E-03 5.00732E-03 0.036717 4 1 60.0 0.0 180.0 7.98240E-02 5.74430E-03 5.64635E-03 1.13907E-02 4.91895E-03 0.070735 4 4 60.0 45.0 135.0 7.91939E-02 5.69157E-03 5.48490E-03 1.11765E-02 4.87380E-03 0.069259 4 7 60.0 90.0 90.0 8.75336E-02 5.79120E-03 5.93722E-03 1.17284E-02 4.95912E-03 0.067828 3 1 70.0 0.0 180.0 9.21709E-02 5.29350E-03 1.44140E-02 1.97075E-02 4.53293E-03 0.156384 3 4 70.0 45.0 135.0 8.82812E-02 5.27661E-03 1.36418E-02 1.89184E-02 4.51846E-03 0.154526 3 7 70.0 90.0 90.0 9.26241E-02 5.41816E-03 1.41390E-02 1.95572E-02 4.63967E-03 0.152650 2 1 80.0 0.0 180.0 1.26565E-01 4.44219E-03 3.58187E-02 4.02609E-02 3.80393E-03 0.283007 2 4 80.0 45.0 135.0 1.15858E-01 4.41807E-03 3.39386E-02 3.83566E-02 3.78327E-03 0.292933 2 7 80.0 90.0 90.0 1.11907E-01 4.52565E-03 3.40771E-02 3.86027E-02 3.87540E-03 0.304512 1 1 87.5 0.0 180.0 1.79497E-01 3.42303E-03 6.41872E-02 6.76102E-02 2.93121E-03 0.357594 1 4 87.5 45.0 135.0 1.59044E-01 3.19291E-03 6.23510E-02 6.55439E-02 2.73415E-03 0.392037 1 7 87.5 90.0 90.0 1.42099E-01 3.62080E-03 6.10140E-02 6.46348E-02 3.10056E-03 0.429377 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 490.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 8.089E-03 1.058E-01 1.236E-01 1.034E-01 1.853E-01 6.927E-03 8.134E+00 5.607E-03 4.801E-03 1 0.00 0.00 1.045E-02 1.900E-01 1.658E-02 1.927E-02 3.011E-02 9.151E-03 3.826E+00 3 0.30 0.50 1.024E-02 1.908E-01 1.483E-02 1.800E-02 3.141E-02 9.583E-03 3.865E+00 5 0.62 1.00 1.003E-02 1.916E-01 1.475E-02 1.824E-02 3.285E-02 1.003E-02 3.903E+00 7 0.98 1.50 9.819E-03 1.924E-01 1.470E-02 1.844E-02 3.393E-02 1.052E-02 3.938E+00 9 1.38 2.00 9.610E-03 1.930E-01 1.459E-02 1.856E-02 3.469E-02 1.107E-02 3.973E+00 11 1.83 2.50 9.394E-03 1.932E-01 1.456E-02 1.875E-02 3.545E-02 1.168E-02 4.007E+00 13 2.34 3.00 9.167E-03 1.930E-01 1.444E-02 1.880E-02 3.578E-02 1.239E-02 4.037E+00 15 2.91 3.50 8.937E-03 1.918E-01 1.421E-02 1.866E-02 3.560E-02 1.321E-02 4.066E+00 17 3.53 4.00 8.714E-03 1.892E-01 1.392E-02 1.840E-02 3.499E-02 1.418E-02 4.101E+00 19 4.20 4.50 8.497E-03 1.851E-01 1.368E-02 1.815E-02 3.419E-02 1.529E-02 4.146E+00 21 4.90 5.00 8.284E-03 1.796E-01 1.357E-02 1.800E-02 3.336E-02 1.655E-02 4.212E+00 23 5.63 5.50 8.008E-03 1.727E-01 1.413E-02 1.865E-02 3.361E-02 1.786E-02 4.295E+00 25 6.46 6.00 7.496E-03 1.640E-01 1.489E-02 1.961E-02 3.427E-02 1.890E-02 4.343E+00 27 7.36 6.50 6.793E-03 1.531E-01 1.483E-02 1.935E-02 3.251E-02 1.963E-02 4.294E+00 29 8.26 7.00 6.102E-03 1.409E-01 1.399E-02 1.808E-02 2.933E-02 2.025E-02 4.129E+00 31 9.12 7.50 5.494E-03 1.284E-01 1.273E-02 1.626E-02 2.550E-02 2.090E-02 3.797E+00 34 9.94 8.00 5.005E-03 1.164E-01 8.148E-03 9.660E-03 1.362E-02 2.176E-02 3.142E+00 Waveband 6 of 20 completed in 3.6 sec. * * * * * Output for wavelength band 7 (500.0 to 520.0 nm; nominal wavelength = 510.0 nm) * * * * * Index of refraction at this wavelength is 1.341 RADTRANX clear-sky spectral irradiances averaged over the band from 500.0 nm to 520.0 nm: Ed(diffuse) = 3.797E-01 Ed(direct) = 7.728E-01 Ed(total) = 1.152E+00 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 4.131E-01 Ed(direct) = 7.249E-01 Ed(total) = 1.138E+00 Absorption Coefficients of Individual Components at 510.0 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 0.0325 0.0265 0.0375 0.0046 0.1012 3 0.293 0.500 0.0325 0.0290 0.0340 0.0048 0.1003 5 0.609 1.000 0.0325 0.0326 0.0307 0.0050 0.1009 7 0.957 1.500 0.0325 0.0376 0.0278 0.0053 0.1031 9 1.346 2.000 0.0325 0.0437 0.0252 0.0055 0.1068 11 1.787 2.500 0.0325 0.0506 0.0228 0.0064 0.1123 13 2.286 3.000 0.0325 0.0577 0.0206 0.0073 0.1182 15 2.843 3.500 0.0325 0.0644 0.0186 0.0083 0.1238 17 3.451 4.000 0.0325 0.0699 0.0169 0.0092 0.1284 19 4.102 4.500 0.0325 0.0735 0.0153 0.0106 0.1318 21 4.782 5.000 0.0325 0.0747 0.0138 0.0119 0.1330 23 5.497 5.500 0.0325 0.0735 0.0125 0.0183 0.1368 25 6.302 6.000 0.0325 0.0699 0.0113 0.0349 0.1486 27 7.180 6.500 0.0325 0.0644 0.0102 0.0413 0.1484 29 8.054 7.000 0.0325 0.0577 0.0093 0.0436 0.1431 31 8.895 7.500 0.0325 0.0506 0.0084 0.0450 0.1364 34 9.695 8.000 0.0325 0.0437 0.0076 0.0459 0.1296 Scattering Coefficients of Individual Components at 510.0 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 0.0027 0.3844 0.0000 0.0808 0.4679 3 0.293 0.500 0.0027 0.4183 0.0000 0.0849 0.5059 5 0.609 1.000 0.0027 0.4683 0.0000 0.0889 0.5599 7 0.957 1.500 0.0027 0.5355 0.0000 0.0930 0.6311 9 1.346 2.000 0.0027 0.6181 0.0000 0.0970 0.7177 11 1.787 2.500 0.0027 0.7111 0.0000 0.1132 0.8270 13 2.286 3.000 0.0027 0.8069 0.0000 0.1293 0.9389 15 2.843 3.500 0.0027 0.8959 0.0000 0.1455 1.0441 17 3.451 4.000 0.0027 0.9684 0.0000 0.1617 1.1328 19 4.102 4.500 0.0027 1.0158 0.0000 0.1859 1.2044 21 4.782 5.000 0.0027 1.0323 0.0000 0.2102 1.2451 23 5.497 5.500 0.0027 1.0158 0.0000 0.3234 1.3418 25 6.302 6.000 0.0027 0.9684 0.0000 0.6144 1.5855 27 7.180 6.500 0.0027 0.8959 0.0000 0.7276 1.6262 29 8.054 7.000 0.0027 0.8069 0.0000 0.7680 1.5776 31 8.895 7.500 0.0027 0.7111 0.0000 0.7923 1.5060 34 9.695 8.000 0.0027 0.6181 0.0000 0.8084 1.4291 Backscattering Coefficients of Individual Components at 510.0 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 0.00133 0.00192 0.00000 0.00252 0.00577 3 0.293 0.500 0.00133 0.00209 0.00000 0.00264 0.00606 5 0.609 1.000 0.00133 0.00234 0.00000 0.00277 0.00644 7 0.957 1.500 0.00133 0.00268 0.00000 0.00290 0.00690 9 1.346 2.000 0.00133 0.00309 0.00000 0.00302 0.00744 11 1.787 2.500 0.00133 0.00356 0.00000 0.00353 0.00841 13 2.286 3.000 0.00133 0.00403 0.00000 0.00403 0.00939 15 2.843 3.500 0.00133 0.00448 0.00000 0.00453 0.01034 17 3.451 4.000 0.00133 0.00484 0.00000 0.00504 0.01121 19 4.102 4.500 0.00133 0.00508 0.00000 0.00579 0.01220 21 4.782 5.000 0.00133 0.00516 0.00000 0.00655 0.01304 23 5.497 5.500 0.00133 0.00508 0.00000 0.01007 0.01648 25 6.302 6.000 0.00133 0.00484 0.00000 0.01914 0.02531 27 7.180 6.500 0.00133 0.00448 0.00000 0.02267 0.02847 29 8.054 7.000 0.00133 0.00403 0.00000 0.02393 0.02929 31 8.895 7.500 0.00133 0.00356 0.00000 0.02468 0.02956 34 9.695 8.000 0.00133 0.00309 0.00000 0.02519 0.02960 Summary of Inherent Optical Properties at 510.0 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 0.1012 0.4679 0.5691 0.8222 0.00577 0.01232 3 0.293 0.500 0.1003 0.5059 0.6062 0.8346 0.00606 0.01198 5 0.609 1.000 0.1009 0.5599 0.6608 0.8473 0.00644 0.01150 7 0.957 1.500 0.1031 0.6311 0.7342 0.8595 0.00690 0.01093 9 1.346 2.000 0.1068 0.7177 0.8246 0.8705 0.00744 0.01036 11 1.787 2.500 0.1123 0.8270 0.9392 0.8805 0.00841 0.01017 13 2.286 3.000 0.1182 0.9389 1.0571 0.8882 0.00939 0.01000 15 2.843 3.500 0.1238 1.0441 1.1679 0.8940 0.01034 0.00990 17 3.451 4.000 0.1284 1.1328 1.2612 0.8982 0.01121 0.00989 19 4.102 4.500 0.1318 1.2044 1.3362 0.9014 0.01220 0.01013 21 4.782 5.000 0.1330 1.2451 1.3781 0.9035 0.01304 0.01047 23 5.497 5.500 0.1368 1.3418 1.4787 0.9075 0.01648 0.01228 25 6.302 6.000 0.1486 1.5855 1.7340 0.9143 0.02531 0.01596 27 7.180 6.500 0.1484 1.6262 1.7746 0.9164 0.02847 0.01751 29 8.054 7.000 0.1431 1.5776 1.7206 0.9169 0.02929 0.01856 31 8.895 7.500 0.1364 1.5060 1.6424 0.9170 0.02956 0.01963 34 9.695 8.000 0.1296 1.4291 1.5587 0.9169 0.02960 0.02071 The bottom reflectance at wavelength 510.0 nm is R = 0.077 Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 510.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.8355E-01 1.7893E+00 1.9729E+00 6.4152E-02 1.1380E+00 0.3495 0.6360 0.5443 5.6370E-02 1 0.00 0.00 8.6983E-02 1.3487E+00 1.4357E+00 3.8961E-02 1.1125E+00 0.4479 0.8249 0.7478 3.5020E-02 3 0.29 0.50 8.6908E-02 1.2753E+00 1.3622E+00 3.8737E-02 1.0426E+00 0.4457 0.8175 0.7369 3.7155E-02 5 0.61 1.00 8.6873E-02 1.2060E+00 1.2929E+00 3.8496E-02 9.7621E-01 0.4431 0.8095 0.7253 3.9434E-02 7 0.96 1.50 8.6739E-02 1.1383E+00 1.2251E+00 3.8234E-02 9.1227E-01 0.4408 0.8014 0.7134 4.1911E-02 9 1.35 2.00 8.6614E-02 1.0715E+00 1.1581E+00 3.7979E-02 8.4992E-01 0.4385 0.7932 0.7011 4.4685E-02 11 1.79 2.50 8.6422E-02 1.0049E+00 1.0913E+00 3.7679E-02 7.8840E-01 0.4360 0.7846 0.6879 4.7792E-02 13 2.29 3.00 8.5850E-02 9.3794E-01 1.0238E+00 3.7279E-02 7.2738E-01 0.4342 0.7755 0.6741 5.1251E-02 15 2.84 3.50 8.5045E-02 8.7076E-01 9.5580E-01 3.6837E-02 6.6728E-01 0.4331 0.7663 0.6596 5.5205E-02 17 3.45 4.00 8.4266E-02 8.0402E-01 8.8829E-01 3.6434E-02 6.0890E-01 0.4324 0.7573 0.6445 5.9835E-02 19 4.10 4.50 8.3776E-02 7.3887E-01 8.2265E-01 3.6116E-02 5.5305E-01 0.4311 0.7485 0.6284 6.5304E-02 21 4.78 5.00 8.3977E-02 6.7650E-01 7.6048E-01 3.5945E-02 5.0058E-01 0.4280 0.7399 0.6110 7.1807E-02 23 5.50 5.50 8.4719E-02 6.1782E-01 7.0254E-01 3.5624E-02 4.5099E-01 0.4205 0.7300 0.5912 7.8991E-02 25 6.30 6.00 8.2690E-02 5.6057E-01 6.4326E-01 3.3991E-02 4.0137E-01 0.4111 0.7160 0.5711 8.4687E-02 27 7.18 6.50 7.6036E-02 5.0276E-01 5.7879E-01 3.0849E-02 3.5290E-01 0.4057 0.7019 0.5564 8.7416E-02 29 8.05 7.00 6.7167E-02 4.4740E-01 5.1457E-01 2.7145E-02 3.0941E-01 0.4041 0.6916 0.5486 8.7731E-02 31 8.89 7.50 5.6344E-02 3.9704E-01 4.5339E-01 2.3130E-02 2.7164E-01 0.4105 0.6842 0.5481 8.5148E-02 34 9.69 8.00 3.6835E-02 3.5069E-01 3.8753E-01 1.8417E-02 2.3888E-01 0.5000 0.6812 0.5689 7.7100E-02 K-functions (units of 1/meter) at 510.0 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 0.050 0.025 0.00770 0.11527 0.10873 0.01205 0.12974 0.13402 0.02975 0.500 0.550 0.525 -0.00022 0.11085 0.10375 0.01183 0.13045 0.13504 0.03028 1.000 1.050 1.025 0.00219 0.11345 0.10595 0.01329 0.13336 0.13831 0.03082 1.500 1.550 1.525 0.00373 0.11820 0.11007 0.01384 0.13848 0.14395 0.03097 2.000 2.050 2.025 0.00009 0.12481 0.11545 0.01273 0.14573 0.15197 0.03069 2.500 2.550 2.525 0.00961 0.13325 0.12343 0.01928 0.15606 0.16295 0.03475 3.000 3.050 3.025 0.01700 0.14367 0.13301 0.02331 0.16736 0.17517 0.03718 3.500 3.550 3.525 0.01988 0.15471 0.14268 0.02365 0.17854 0.18762 0.03776 4.000 4.050 4.025 0.01444 0.16499 0.15066 0.01925 0.18840 0.19921 0.03675 4.500 4.550 4.525 0.00601 0.17355 0.15642 0.01431 0.19678 0.20959 0.03728 5.000 5.050 5.025 -0.02499 0.17889 0.15627 0.00404 0.20238 0.21781 0.03855 5.500 5.550 5.525 -0.01293 0.18528 0.16127 0.03799 0.21695 0.23238 0.07024 6.000 6.050 6.025 0.13071 0.20591 0.19623 0.16334 0.25187 0.26008 0.15068 6.500 6.550 6.525 0.21917 0.23068 0.22917 0.23340 0.26323 0.26609 0.17381 7.000 7.050 7.025 0.29294 0.23696 0.24426 0.28721 0.26224 0.25984 0.16929 7.500 7.550 7.525 0.45511 0.24122 0.26768 0.37124 0.25815 0.24766 0.15151 7.950 8.000 7.975 2.11543 0.26982 0.45276 0.60351 0.25849 0.22940 0.11776 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 510.0 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 1.03103E-01 5.55337E-03 2.40660E-03 7.95997E-03 4.87973E-03 0.023342 9 1 10.0 0.0 180.0 8.89576E-02 5.61869E-03 1.88603E-03 7.50472E-03 4.93714E-03 0.021201 9 4 10.0 45.0 135.0 9.16490E-02 5.59385E-03 1.95732E-03 7.55117E-03 4.91531E-03 0.021357 9 7 10.0 90.0 90.0 1.01031E-01 5.58306E-03 2.28170E-03 7.86476E-03 4.90583E-03 0.022584 8 1 20.0 0.0 180.0 8.20988E-02 5.63943E-03 1.73320E-03 7.37264E-03 4.95536E-03 0.021111 8 4 20.0 45.0 135.0 8.50893E-02 5.59565E-03 1.80702E-03 7.40267E-03 4.91689E-03 0.021237 8 7 20.0 90.0 90.0 9.73903E-02 5.60423E-03 2.12907E-03 7.73330E-03 4.92443E-03 0.021861 7 1 30.0 0.0 180.0 7.73493E-02 5.70254E-03 1.71651E-03 7.41905E-03 5.01081E-03 0.022192 7 4 30.0 45.0 135.0 8.01131E-02 5.70068E-03 1.78132E-03 7.48201E-03 5.00918E-03 0.022235 7 7 30.0 90.0 90.0 9.28485E-02 5.69979E-03 2.09736E-03 7.79715E-03 5.00840E-03 0.022589 6 1 40.0 0.0 180.0 7.45085E-02 5.70952E-03 1.93123E-03 7.64075E-03 5.01695E-03 0.025920 6 4 40.0 45.0 135.0 7.67110E-02 5.69654E-03 1.98479E-03 7.68133E-03 5.00554E-03 0.025874 6 7 40.0 90.0 90.0 8.85190E-02 5.70382E-03 2.30628E-03 8.01010E-03 5.01194E-03 0.026054 5 1 50.0 0.0 180.0 7.41071E-02 5.76124E-03 2.75017E-03 8.51140E-03 5.06239E-03 0.037111 5 4 50.0 45.0 135.0 7.52613E-02 5.69638E-03 2.77040E-03 8.46678E-03 5.00540E-03 0.036810 5 7 50.0 90.0 90.0 8.56898E-02 5.75549E-03 3.13423E-03 8.88972E-03 5.05734E-03 0.036576 4 1 60.0 0.0 180.0 7.77910E-02 5.61746E-03 5.48761E-03 1.11051E-02 4.93605E-03 0.070543 4 4 60.0 45.0 135.0 7.71769E-02 5.57476E-03 5.33055E-03 1.09053E-02 4.89853E-03 0.069069 4 7 60.0 90.0 90.0 8.53042E-02 5.69016E-03 5.76990E-03 1.14601E-02 4.99994E-03 0.067639 3 1 70.0 0.0 180.0 8.98234E-02 5.16230E-03 1.40230E-02 1.91853E-02 4.53611E-03 0.156117 3 4 70.0 45.0 135.0 8.60328E-02 5.15365E-03 1.32714E-02 1.84251E-02 4.52850E-03 0.154260 3 7 70.0 90.0 90.0 9.02650E-02 5.31084E-03 1.37546E-02 1.90655E-02 4.66663E-03 0.152380 2 1 80.0 0.0 180.0 1.23341E-01 4.32316E-03 3.48719E-02 3.91951E-02 3.79875E-03 0.282727 2 4 80.0 45.0 135.0 1.12907E-01 4.30744E-03 3.30412E-02 3.73487E-02 3.78494E-03 0.292641 2 7 80.0 90.0 90.0 1.09057E-01 4.42532E-03 3.31754E-02 3.76007E-02 3.88852E-03 0.304202 1 1 87.5 0.0 180.0 1.74926E-01 3.32101E-03 6.25147E-02 6.58357E-02 2.91817E-03 0.357378 1 4 87.5 45.0 135.0 1.54993E-01 3.10076E-03 6.07266E-02 6.38274E-02 2.72463E-03 0.391802 1 7 87.5 90.0 90.0 1.38480E-01 3.53255E-03 5.94238E-02 6.29564E-02 3.10405E-03 0.429116 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 510.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 7.960E-03 1.031E-01 1.204E-01 1.007E-01 1.805E-01 6.994E-03 8.059E+00 5.553E-03 4.880E-03 1 0.00 0.00 1.033E-02 1.849E-01 1.580E-02 1.846E-02 2.897E-02 9.287E-03 3.771E+00 3 0.29 0.50 1.018E-02 1.855E-01 1.410E-02 1.719E-02 3.010E-02 9.763E-03 3.806E+00 5 0.61 1.00 1.002E-02 1.862E-01 1.402E-02 1.741E-02 3.148E-02 1.027E-02 3.840E+00 7 0.96 1.50 9.871E-03 1.868E-01 1.400E-02 1.764E-02 3.259E-02 1.082E-02 3.873E+00 9 1.35 2.00 9.720E-03 1.873E-01 1.398E-02 1.784E-02 3.347E-02 1.144E-02 3.907E+00 11 1.79 2.50 9.563E-03 1.877E-01 1.405E-02 1.815E-02 3.442E-02 1.213E-02 3.940E+00 13 2.29 3.00 9.392E-03 1.877E-01 1.404E-02 1.833E-02 3.500E-02 1.291E-02 3.969E+00 15 2.84 3.50 9.217E-03 1.868E-01 1.394E-02 1.834E-02 3.509E-02 1.381E-02 3.997E+00 17 3.45 4.00 9.046E-03 1.849E-01 1.376E-02 1.822E-02 3.476E-02 1.486E-02 4.027E+00 19 4.10 4.50 8.880E-03 1.816E-01 1.363E-02 1.810E-02 3.422E-02 1.606E-02 4.067E+00 21 4.78 5.00 8.717E-03 1.769E-01 1.360E-02 1.806E-02 3.360E-02 1.741E-02 4.124E+00 23 5.50 5.50 8.494E-03 1.709E-01 1.421E-02 1.881E-02 3.409E-02 1.883E-02 4.194E+00 25 6.30 6.00 8.048E-03 1.633E-01 1.516E-02 1.991E-02 3.491E-02 2.005E-02 4.224E+00 27 7.18 6.50 7.422E-03 1.536E-01 1.522E-02 1.986E-02 3.354E-02 2.103E-02 4.157E+00 29 8.05 7.00 6.808E-03 1.424E-01 1.434E-02 1.858E-02 3.036E-02 2.200E-02 3.987E+00 31 8.89 7.50 6.278E-03 1.308E-01 1.315E-02 1.681E-02 2.655E-02 2.311E-02 3.684E+00 34 9.69 8.00 5.862E-03 1.193E-01 8.843E-03 1.042E-02 1.463E-02 2.454E-02 3.142E+00 Waveband 7 of 20 completed in 3.6 sec. * * * * * Output for wavelength band 8 (520.0 to 535.0 nm; nominal wavelength = 527.5 nm) * * * * * Index of refraction at this wavelength is 1.341 RADTRANX clear-sky spectral irradiances averaged over the band from 520.0 nm to 535.0 nm: Ed(diffuse) = 3.679E-01 Ed(direct) = 7.927E-01 Ed(total) = 1.161E+00 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 4.161E-01 Ed(direct) = 7.301E-01 Ed(total) = 1.146E+00 Absorption Coefficients of Individual Components at 527.5 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 0.0426 0.0211 0.0294 0.0039 0.0969 3 0.286 0.500 0.0426 0.0231 0.0266 0.0041 0.0963 5 0.595 1.000 0.0426 0.0259 0.0241 0.0043 0.0968 7 0.935 1.500 0.0426 0.0299 0.0218 0.0045 0.0987 9 1.315 2.000 0.0426 0.0347 0.0197 0.0047 0.1016 11 1.745 2.500 0.0426 0.0402 0.0178 0.0055 0.1060 13 2.232 3.000 0.0426 0.0459 0.0161 0.0062 0.1108 15 2.774 3.500 0.0426 0.0512 0.0146 0.0070 0.1154 17 3.367 4.000 0.0426 0.0556 0.0132 0.0078 0.1191 19 4.002 4.500 0.0426 0.0584 0.0119 0.0090 0.1219 21 4.664 5.000 0.0426 0.0594 0.0108 0.0101 0.1229 23 5.362 5.500 0.0426 0.0584 0.0098 0.0156 0.1264 25 6.145 6.000 0.0426 0.0556 0.0088 0.0297 0.1366 27 7.000 6.500 0.0426 0.0512 0.0080 0.0351 0.1369 29 7.852 7.000 0.0426 0.0459 0.0072 0.0371 0.1328 31 8.671 7.500 0.0426 0.0402 0.0066 0.0383 0.1276 34 9.451 8.000 0.0426 0.0347 0.0059 0.0390 0.1222 Scattering Coefficients of Individual Components at 527.5 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 0.3772 0.0000 0.0789 0.4584 3 0.286 0.500 0.0023 0.4105 0.0000 0.0828 0.4956 5 0.595 1.000 0.0023 0.4595 0.0000 0.0867 0.5485 7 0.935 1.500 0.0023 0.5254 0.0000 0.0907 0.6184 9 1.315 2.000 0.0023 0.6065 0.0000 0.0946 0.7034 11 1.745 2.500 0.0023 0.6978 0.0000 0.1104 0.8105 13 2.232 3.000 0.0023 0.7918 0.0000 0.1262 0.9202 15 2.774 3.500 0.0023 0.8791 0.0000 0.1419 1.0234 17 3.367 4.000 0.0023 0.9503 0.0000 0.1577 1.1103 19 4.002 4.500 0.0023 0.9968 0.0000 0.1814 1.1804 21 4.664 5.000 0.0023 1.0130 0.0000 0.2050 1.2203 23 5.362 5.500 0.0023 0.9968 0.0000 0.3154 1.3145 25 6.145 6.000 0.0023 0.9503 0.0000 0.5993 1.5518 27 7.000 6.500 0.0023 0.8791 0.0000 0.7097 1.5911 29 7.852 7.000 0.0023 0.7918 0.0000 0.7491 1.5432 31 8.671 7.500 0.0023 0.6978 0.0000 0.7728 1.4728 34 9.451 8.000 0.0023 0.6065 0.0000 0.7885 1.3973 Backscattering Coefficients of Individual Components at 527.5 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 0.00115 0.00189 0.00000 0.00242 0.00545 3 0.286 0.500 0.00115 0.00205 0.00000 0.00254 0.00574 5 0.595 1.000 0.00115 0.00230 0.00000 0.00266 0.00610 7 0.935 1.500 0.00115 0.00263 0.00000 0.00278 0.00655 9 1.315 2.000 0.00115 0.00303 0.00000 0.00290 0.00708 11 1.745 2.500 0.00115 0.00349 0.00000 0.00338 0.00802 13 2.232 3.000 0.00115 0.00396 0.00000 0.00386 0.00897 15 2.774 3.500 0.00115 0.00440 0.00000 0.00435 0.00989 17 3.367 4.000 0.00115 0.00475 0.00000 0.00483 0.01073 19 4.002 4.500 0.00115 0.00498 0.00000 0.00556 0.01169 21 4.664 5.000 0.00115 0.00506 0.00000 0.00628 0.01249 23 5.362 5.500 0.00115 0.00498 0.00000 0.00966 0.01579 25 6.145 6.000 0.00115 0.00475 0.00000 0.01836 0.02426 27 7.000 6.500 0.00115 0.00440 0.00000 0.02174 0.02728 29 7.852 7.000 0.00115 0.00396 0.00000 0.02295 0.02805 31 8.671 7.500 0.00115 0.00349 0.00000 0.02367 0.02831 34 9.451 8.000 0.00115 0.00303 0.00000 0.02416 0.02833 Summary of Inherent Optical Properties at 527.5 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 0.0969 0.4584 0.5553 0.8254 0.00545 0.01189 3 0.286 0.500 0.0963 0.4956 0.5919 0.8373 0.00574 0.01157 5 0.595 1.000 0.0968 0.5485 0.6454 0.8499 0.00610 0.01112 7 0.935 1.500 0.0987 0.6184 0.7171 0.8624 0.00655 0.01059 9 1.315 2.000 0.1016 0.7034 0.8050 0.8737 0.00708 0.01006 11 1.745 2.500 0.1060 0.8105 0.9165 0.8843 0.00802 0.00989 13 2.232 3.000 0.1108 0.9202 1.0311 0.8925 0.00897 0.00975 15 2.774 3.500 0.1154 1.0234 1.1388 0.8987 0.00989 0.00966 17 3.367 4.000 0.1191 1.1103 1.2294 0.9031 0.01073 0.00966 19 4.002 4.500 0.1219 1.1804 1.3023 0.9064 0.01169 0.00990 21 4.664 5.000 0.1229 1.2203 1.3432 0.9085 0.01249 0.01024 23 5.362 5.500 0.1264 1.3145 1.4409 0.9123 0.01579 0.01201 25 6.145 6.000 0.1366 1.5518 1.6885 0.9191 0.02426 0.01563 27 7.000 6.500 0.1369 1.5911 1.7280 0.9208 0.02728 0.01715 29 7.852 7.000 0.1328 1.5432 1.6760 0.9208 0.02805 0.01818 31 8.671 7.500 0.1276 1.4728 1.6004 0.9203 0.02831 0.01922 34 9.451 8.000 0.1222 1.3973 1.5195 0.9196 0.02833 0.02028 The bottom reflectance at wavelength 527.5 nm is R = 0.093 Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 527.5 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.8730E-01 1.8021E+00 1.9894E+00 6.5974E-02 1.1461E+00 0.3522 0.6360 0.5430 5.7561E-02 1 0.00 0.00 9.1749E-02 1.3613E+00 1.4530E+00 4.1627E-02 1.1215E+00 0.4537 0.8238 0.7432 3.7118E-02 3 0.29 0.50 9.2088E-02 1.2900E+00 1.3820E+00 4.1624E-02 1.0538E+00 0.4520 0.8169 0.7323 3.9500E-02 5 0.59 1.00 9.2581E-02 1.2227E+00 1.3153E+00 4.1628E-02 9.8931E-01 0.4496 0.8091 0.7205 4.2078E-02 7 0.93 1.50 9.3051E-02 1.1572E+00 1.2503E+00 4.1629E-02 9.2717E-01 0.4474 0.8012 0.7083 4.4899E-02 9 1.31 2.00 9.3582E-02 1.0928E+00 1.1863E+00 4.1645E-02 8.6666E-01 0.4450 0.7931 0.6954 4.8053E-02 11 1.74 2.50 9.4072E-02 1.0289E+00 1.1229E+00 4.1619E-02 8.0708E-01 0.4424 0.7844 0.6817 5.1567E-02 13 2.23 3.00 9.4184E-02 9.6496E-01 1.0591E+00 4.1487E-02 7.4811E-01 0.4405 0.7753 0.6672 5.5455E-02 15 2.77 3.50 9.4040E-02 9.0098E-01 9.9502E-01 4.1302E-02 6.9009E-01 0.4392 0.7659 0.6520 5.9850E-02 17 3.37 4.00 9.3881E-02 8.3738E-01 9.3126E-01 4.1139E-02 6.3365E-01 0.4382 0.7567 0.6362 6.4924E-02 19 4.00 4.50 9.3971E-02 7.7505E-01 8.6902E-01 4.1047E-02 5.7946E-01 0.4368 0.7476 0.6196 7.0836E-02 21 4.66 5.00 9.4723E-02 7.1495E-01 8.0968E-01 4.1089E-02 5.2825E-01 0.4338 0.7389 0.6017 7.7784E-02 23 5.36 5.50 9.6018E-02 6.5799E-01 7.5401E-01 4.0971E-02 4.7949E-01 0.4267 0.7287 0.5816 8.5446E-02 25 6.15 6.00 9.4469E-02 6.0240E-01 6.9687E-01 3.9507E-02 4.3037E-01 0.4182 0.7144 0.5609 9.1796E-02 27 7.00 6.50 8.7986E-02 5.4520E-01 6.3319E-01 3.6479E-02 3.8191E-01 0.4146 0.7005 0.5455 9.5517E-02 29 7.85 7.00 7.9219E-02 4.8972E-01 5.6894E-01 3.2893E-02 3.3787E-01 0.4152 0.6899 0.5360 9.7354E-02 31 8.67 7.50 6.8479E-02 4.3827E-01 5.0675E-01 2.9029E-02 2.9906E-01 0.4239 0.6824 0.5329 9.7067E-02 34 9.45 8.00 4.9082E-02 3.9021E-01 4.3929E-01 2.4541E-02 2.6495E-01 0.5000 0.6790 0.5473 9.2625E-02 K-functions (units of 1/meter) at 527.5 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 0.050 0.025 -0.00021 0.11115 0.10410 0.00140 0.12434 0.12910 0.01675 0.500 0.550 0.525 -0.01073 0.10631 0.09849 -0.00032 0.12518 0.13036 0.01653 1.000 1.050 1.025 -0.01034 0.10843 0.10005 -0.00005 0.12786 0.13350 0.01648 1.500 1.550 1.525 -0.01020 0.11233 0.10318 -0.00022 0.13233 0.13858 0.01624 2.000 2.050 2.025 -0.01432 0.11768 0.10724 -0.00150 0.13855 0.14564 0.01579 2.500 2.550 2.525 -0.00581 0.12444 0.11350 0.00438 0.14739 0.15520 0.01919 3.000 3.050 3.025 0.00123 0.13303 0.12127 0.00826 0.15707 0.16584 0.02122 3.500 3.550 3.525 0.00434 0.14233 0.12925 0.00904 0.16668 0.17675 0.02169 4.000 4.050 4.025 0.00020 0.15119 0.13592 0.00575 0.17524 0.18706 0.02078 4.500 4.550 4.525 -0.00664 0.15877 0.14082 0.00197 0.18269 0.19654 0.02106 5.000 5.050 5.025 -0.03307 0.16380 0.14067 -0.00660 0.18791 0.20440 0.02177 5.500 5.550 5.525 -0.02359 0.16877 0.14417 0.02350 0.20138 0.21808 0.04763 6.000 6.050 6.025 0.11038 0.18990 0.17910 0.13445 0.23351 0.24355 0.11267 6.500 6.550 6.525 0.18467 0.20970 0.20622 0.19075 0.24468 0.25039 0.12741 7.000 7.050 7.025 0.24636 0.21942 0.22317 0.22876 0.24514 0.24691 0.11873 7.500 7.550 7.525 0.37020 0.22520 0.24473 0.28236 0.24268 0.23841 0.09978 7.950 8.000 7.975 1.60660 0.25255 0.40846 0.43282 0.24393 0.22455 0.07054 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 527.5 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 1.03836E-01 6.08002E-03 2.42373E-03 8.50375E-03 5.30475E-03 0.023342 9 1 10.0 0.0 180.0 8.95907E-02 6.13883E-03 1.89945E-03 8.03828E-03 5.35606E-03 0.021201 9 4 10.0 45.0 135.0 9.23012E-02 6.11425E-03 1.97125E-03 8.08550E-03 5.33462E-03 0.021357 9 7 10.0 90.0 90.0 1.01750E-01 6.10811E-03 2.29794E-03 8.40605E-03 5.32926E-03 0.022584 8 1 20.0 0.0 180.0 8.26831E-02 6.14743E-03 1.74554E-03 7.89297E-03 5.36356E-03 0.021111 8 4 20.0 45.0 135.0 8.56949E-02 6.10414E-03 1.81988E-03 7.92403E-03 5.32580E-03 0.021237 8 7 20.0 90.0 90.0 9.80835E-02 6.12269E-03 2.14422E-03 8.26691E-03 5.34198E-03 0.021861 7 1 30.0 0.0 180.0 7.78998E-02 6.20000E-03 1.72873E-03 7.92873E-03 5.40943E-03 0.022192 7 4 30.0 45.0 135.0 8.06833E-02 6.20426E-03 1.79400E-03 7.99826E-03 5.41315E-03 0.022235 7 7 30.0 90.0 90.0 9.35093E-02 6.21579E-03 2.11229E-03 8.32808E-03 5.42321E-03 0.022589 6 1 40.0 0.0 180.0 7.50388E-02 6.18153E-03 1.94497E-03 8.12650E-03 5.39332E-03 0.025920 6 4 40.0 45.0 135.0 7.72569E-02 6.17579E-03 1.99892E-03 8.17471E-03 5.38831E-03 0.025874 6 7 40.0 90.0 90.0 8.91490E-02 6.19955E-03 2.32269E-03 8.52225E-03 5.40904E-03 0.026054 5 1 50.0 0.0 180.0 7.46345E-02 6.21486E-03 2.76974E-03 8.98460E-03 5.42239E-03 0.037111 5 4 50.0 45.0 135.0 7.57969E-02 6.15440E-03 2.79011E-03 8.94451E-03 5.36964E-03 0.036810 5 7 50.0 90.0 90.0 8.62997E-02 6.23593E-03 3.15653E-03 9.39247E-03 5.44078E-03 0.036576 4 1 60.0 0.0 180.0 7.83446E-02 6.03628E-03 5.52667E-03 1.15630E-02 5.26659E-03 0.070543 4 4 60.0 45.0 135.0 7.77262E-02 6.00101E-03 5.36848E-03 1.13695E-02 5.23581E-03 0.069069 4 7 60.0 90.0 90.0 8.59113E-02 6.14421E-03 5.81097E-03 1.19552E-02 5.36076E-03 0.067639 3 1 70.0 0.0 180.0 9.04627E-02 5.52475E-03 1.41228E-02 1.96475E-02 4.82028E-03 0.156117 3 4 70.0 45.0 135.0 8.66451E-02 5.52584E-03 1.33659E-02 1.88917E-02 4.82123E-03 0.154260 3 7 70.0 90.0 90.0 9.09075E-02 5.71259E-03 1.38525E-02 1.95651E-02 4.98417E-03 0.152380 2 1 80.0 0.0 180.0 1.24219E-01 4.60900E-03 3.51201E-02 3.97291E-02 4.02130E-03 0.282727 2 4 80.0 45.0 135.0 1.13711E-01 4.60113E-03 3.32764E-02 3.78775E-02 4.01443E-03 0.292641 2 7 80.0 90.0 90.0 1.09833E-01 4.74307E-03 3.34115E-02 3.81545E-02 4.13828E-03 0.304202 1 1 87.5 0.0 180.0 1.76171E-01 3.52846E-03 6.29596E-02 6.64880E-02 3.07854E-03 0.357378 1 4 87.5 45.0 135.0 1.56096E-01 3.30095E-03 6.11588E-02 6.44598E-02 2.88004E-03 0.391802 1 7 87.5 90.0 90.0 1.39465E-01 3.77350E-03 5.98467E-02 6.36202E-02 3.29233E-03 0.429116 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 527.5 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 8.504E-03 1.038E-01 1.213E-01 1.015E-01 1.819E-01 7.419E-03 7.758E+00 6.080E-03 5.305E-03 1 0.00 0.00 1.131E-02 1.862E-01 1.630E-02 1.911E-02 2.993E-02 1.009E-02 3.679E+00 3 0.29 0.50 1.122E-02 1.870E-01 1.446E-02 1.767E-02 3.085E-02 1.065E-02 3.710E+00 5 0.59 1.00 1.113E-02 1.879E-01 1.440E-02 1.791E-02 3.229E-02 1.125E-02 3.741E+00 7 0.93 1.50 1.104E-02 1.888E-01 1.445E-02 1.823E-02 3.357E-02 1.190E-02 3.772E+00 9 1.31 2.00 1.095E-02 1.896E-01 1.452E-02 1.855E-02 3.469E-02 1.263E-02 3.804E+00 11 1.74 2.50 1.085E-02 1.904E-01 1.472E-02 1.901E-02 3.593E-02 1.345E-02 3.834E+00 13 2.23 3.00 1.074E-02 1.910E-01 1.485E-02 1.937E-02 3.685E-02 1.436E-02 3.861E+00 15 2.77 3.50 1.063E-02 1.909E-01 1.488E-02 1.957E-02 3.730E-02 1.540E-02 3.886E+00 17 3.37 4.00 1.052E-02 1.898E-01 1.484E-02 1.962E-02 3.729E-02 1.660E-02 3.912E+00 19 4.00 4.50 1.041E-02 1.875E-01 1.483E-02 1.967E-02 3.705E-02 1.796E-02 3.944E+00 21 4.66 5.00 1.030E-02 1.837E-01 1.490E-02 1.977E-02 3.668E-02 1.950E-02 3.990E+00 23 5.36 5.50 1.013E-02 1.787E-01 1.564E-02 2.067E-02 3.743E-02 2.113E-02 4.043E+00 25 6.15 6.00 9.743E-03 1.721E-01 1.689E-02 2.220E-02 3.886E-02 2.264E-02 4.055E+00 27 7.00 6.50 9.175E-03 1.633E-01 1.689E-02 2.204E-02 3.730E-02 2.402E-02 3.976E+00 29 7.85 7.00 8.623E-03 1.528E-01 1.616E-02 2.088E-02 3.415E-02 2.552E-02 3.815E+00 31 8.67 7.50 8.158E-03 1.415E-01 1.498E-02 1.909E-02 3.013E-02 2.728E-02 3.558E+00 34 9.45 8.00 7.812E-03 1.300E-01 1.077E-02 1.255E-02 1.737E-02 2.948E-02 3.142E+00 Waveband 8 of 20 completed in 3.2 sec. * * * * * Output for wavelength band 9 (535.0 to 545.0 nm; nominal wavelength = 540.0 nm) * * * * * Index of refraction at this wavelength is 1.340 RADTRANX clear-sky spectral irradiances averaged over the band from 535.0 nm to 545.0 nm: Ed(diffuse) = 3.605E-01 Ed(direct) = 8.064E-01 Ed(total) = 1.167E+00 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 4.183E-01 Ed(direct) = 7.340E-01 Ed(total) = 1.152E+00 Absorption Coefficients of Individual Components at 540.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0474 0.0178 0.0247 0.0034 0.0933 3 0.281 0.500 0.0474 0.0195 0.0223 0.0036 0.0928 5 0.584 1.000 0.0474 0.0219 0.0202 0.0038 0.0933 7 0.918 1.500 0.0474 0.0252 0.0183 0.0039 0.0948 9 1.291 2.000 0.0474 0.0293 0.0165 0.0041 0.0974 11 1.714 2.500 0.0474 0.0340 0.0150 0.0048 0.1011 13 2.192 3.000 0.0474 0.0388 0.0135 0.0055 0.1052 15 2.725 3.500 0.0474 0.0433 0.0122 0.0061 0.1091 17 3.308 4.000 0.0474 0.0470 0.0111 0.0068 0.1123 19 3.930 4.500 0.0474 0.0494 0.0100 0.0079 0.1147 21 4.581 5.000 0.0474 0.0502 0.0091 0.0089 0.1156 23 5.266 5.500 0.0474 0.0494 0.0082 0.0137 0.1187 25 6.035 6.000 0.0474 0.0470 0.0074 0.0259 0.1278 27 6.875 6.500 0.0474 0.0433 0.0067 0.0307 0.1282 29 7.711 7.000 0.0474 0.0388 0.0061 0.0324 0.1247 31 8.516 7.500 0.0474 0.0340 0.0055 0.0335 0.1204 34 9.282 8.000 0.0474 0.0293 0.0050 0.0341 0.1159 Scattering Coefficients of Individual Components at 540.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0021 0.3721 0.0000 0.0777 0.4519 3 0.281 0.500 0.0021 0.4049 0.0000 0.0816 0.4886 5 0.584 1.000 0.0021 0.4532 0.0000 0.0855 0.5408 7 0.918 1.500 0.0021 0.5182 0.0000 0.0894 0.6097 9 1.291 2.000 0.0021 0.5982 0.0000 0.0933 0.6935 11 1.714 2.500 0.0021 0.6883 0.0000 0.1088 0.7992 13 2.192 3.000 0.0021 0.7810 0.0000 0.1244 0.9074 15 2.725 3.500 0.0021 0.8671 0.0000 0.1399 1.0091 17 3.308 4.000 0.0021 0.9373 0.0000 0.1555 1.0948 19 3.930 4.500 0.0021 0.9832 0.0000 0.1788 1.1640 21 4.581 5.000 0.0021 0.9991 0.0000 0.2021 1.2033 23 5.266 5.500 0.0021 0.9832 0.0000 0.3109 1.2961 25 6.035 6.000 0.0021 0.9373 0.0000 0.5907 1.5301 27 6.875 6.500 0.0021 0.8671 0.0000 0.6995 1.5687 29 7.711 7.000 0.0021 0.7810 0.0000 0.7384 1.5214 31 8.516 7.500 0.0021 0.6883 0.0000 0.7617 1.4521 34 9.282 8.000 0.0021 0.5982 0.0000 0.7773 1.3775 Backscattering Coefficients of Individual Components at 540.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00104 0.00186 0.00000 0.00235 0.00525 3 0.281 0.500 0.00104 0.00202 0.00000 0.00247 0.00553 5 0.584 1.000 0.00104 0.00227 0.00000 0.00259 0.00589 7 0.918 1.500 0.00104 0.00259 0.00000 0.00271 0.00633 9 1.291 2.000 0.00104 0.00299 0.00000 0.00282 0.00685 11 1.714 2.500 0.00104 0.00344 0.00000 0.00329 0.00777 13 2.192 3.000 0.00104 0.00390 0.00000 0.00377 0.00871 15 2.725 3.500 0.00104 0.00434 0.00000 0.00424 0.00961 17 3.308 4.000 0.00104 0.00469 0.00000 0.00471 0.01043 19 3.930 4.500 0.00104 0.00492 0.00000 0.00541 0.01136 21 4.581 5.000 0.00104 0.00500 0.00000 0.00612 0.01215 23 5.266 5.500 0.00104 0.00492 0.00000 0.00941 0.01536 25 6.035 6.000 0.00104 0.00469 0.00000 0.01788 0.02361 27 6.875 6.500 0.00104 0.00434 0.00000 0.02118 0.02655 29 7.711 7.000 0.00104 0.00390 0.00000 0.02236 0.02730 31 8.516 7.500 0.00104 0.00344 0.00000 0.02306 0.02754 34 9.282 8.000 0.00104 0.00299 0.00000 0.02353 0.02756 Summary of Inherent Optical Properties at 540.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0933 0.4519 0.5452 0.8288 0.00525 0.01162 3 0.281 0.500 0.0928 0.4886 0.5814 0.8404 0.00553 0.01132 5 0.584 1.000 0.0933 0.5408 0.6341 0.8529 0.00589 0.01089 7 0.918 1.500 0.0948 0.6097 0.7045 0.8654 0.00633 0.01039 9 1.291 2.000 0.0974 0.6935 0.7909 0.8769 0.00685 0.00988 11 1.714 2.500 0.1011 0.7992 0.9003 0.8877 0.00777 0.00972 13 2.192 3.000 0.1052 0.9074 1.0126 0.8961 0.00871 0.00959 15 2.725 3.500 0.1091 1.0091 1.1182 0.9024 0.00961 0.00952 17 3.308 4.000 0.1123 1.0948 1.2071 0.9070 0.01043 0.00953 19 3.930 4.500 0.1147 1.1640 1.2787 0.9103 0.01136 0.00976 21 4.581 5.000 0.1156 1.2033 1.3189 0.9124 0.01215 0.01010 23 5.266 5.500 0.1187 1.2961 1.4148 0.9161 0.01536 0.01185 25 6.035 6.000 0.1278 1.5301 1.6578 0.9229 0.02361 0.01543 27 6.875 6.500 0.1282 1.5687 1.6969 0.9245 0.02655 0.01693 29 7.711 7.000 0.1247 1.5214 1.6462 0.9242 0.02730 0.01794 31 8.516 7.500 0.1204 1.4521 1.5724 0.9235 0.02754 0.01897 34 9.282 8.000 0.1159 1.3775 1.4934 0.9224 0.02756 0.02001 The bottom reflectance at wavelength 540.0 nm is R = 0.101 Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 540.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.9025E-01 1.8117E+00 2.0020E+00 6.7412E-02 1.1523E+00 0.3543 0.6360 0.5419 5.8503E-02 1 0.00 0.00 9.6417E-02 1.3725E+00 1.4689E+00 4.4136E-02 1.1288E+00 0.4578 0.8225 0.7385 3.9098E-02 3 0.28 0.50 9.7089E-02 1.3030E+00 1.4000E+00 4.4301E-02 1.0630E+00 0.4563 0.8159 0.7276 4.1675E-02 5 0.58 1.00 9.7990E-02 1.2375E+00 1.3355E+00 4.4489E-02 1.0002E+00 0.4540 0.8083 0.7156 4.4479E-02 7 0.92 1.50 9.8915E-02 1.1739E+00 1.2728E+00 4.4682E-02 9.3965E-01 0.4517 0.8004 0.7031 4.7552E-02 9 1.29 2.00 9.9933E-02 1.1114E+00 1.2113E+00 4.4895E-02 8.8065E-01 0.4492 0.7924 0.6900 5.0979E-02 11 1.71 2.50 1.0093E-01 1.0496E+00 1.1505E+00 4.5063E-02 8.2261E-01 0.4465 0.7838 0.6758 5.4780E-02 13 2.19 3.00 1.0154E-01 9.8797E-01 1.0895E+00 4.5119E-02 7.6521E-01 0.4444 0.7745 0.6609 5.8963E-02 15 2.73 3.50 1.0187E-01 9.2635E-01 1.0282E+00 4.5111E-02 7.0873E-01 0.4428 0.7651 0.6454 6.3651E-02 17 3.31 4.00 1.0216E-01 8.6502E-01 9.6718E-01 4.5112E-02 6.5371E-01 0.4416 0.7557 0.6292 6.9009E-02 19 3.93 4.50 1.0266E-01 8.0474E-01 9.0741E-01 4.5167E-02 6.0074E-01 0.4400 0.7465 0.6123 7.5186E-02 21 4.58 5.00 1.0382E-01 7.4634E-01 8.5016E-01 4.5344E-02 5.5046E-01 0.4367 0.7375 0.5941 8.2375E-02 23 5.27 5.50 1.0549E-01 6.9073E-01 7.9622E-01 4.5339E-02 5.0235E-01 0.4298 0.7273 0.5740 9.0255E-02 25 6.04 6.00 1.0420E-01 6.3638E-01 7.4057E-01 4.3933E-02 4.5366E-01 0.4216 0.7129 0.5533 9.6841E-02 27 6.87 6.50 9.7679E-02 5.7996E-01 6.7764E-01 4.0889E-02 4.0530E-01 0.4186 0.6988 0.5378 1.0089E-01 29 7.71 7.00 8.8712E-02 5.2449E-01 6.1320E-01 3.7253E-02 3.6093E-01 0.4199 0.6882 0.5278 1.0322E-01 31 8.52 7.50 7.7649E-02 4.7234E-01 5.4998E-01 3.3334E-02 3.2144E-01 0.4293 0.6805 0.5238 1.0370E-01 34 9.28 8.00 5.7594E-02 4.2301E-01 4.8061E-01 2.8797E-02 2.8640E-01 0.5000 0.6770 0.5360 1.0055E-01 K-functions (units of 1/meter) at 540.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.050 0.025 -0.00602 0.10773 0.10024 -0.00592 0.11991 0.12505 0.00865 0.500 0.550 0.525 -0.01802 0.10243 0.09405 -0.00834 0.12078 0.12641 0.00822 1.000 1.050 1.025 -0.01867 0.10416 0.09513 -0.00855 0.12327 0.12943 0.00806 1.500 1.550 1.525 -0.01917 0.10748 0.09761 -0.00894 0.12731 0.13414 0.00784 2.000 2.050 2.025 -0.02336 0.11204 0.10083 -0.01012 0.13287 0.14058 0.00754 2.500 2.550 2.525 -0.01536 0.11772 0.10601 -0.00448 0.14077 0.14922 0.01080 3.000 3.050 3.025 -0.00850 0.12515 0.11265 -0.00051 0.14942 0.15886 0.01291 3.500 3.550 3.525 -0.00506 0.13333 0.11958 0.00075 0.15804 0.16877 0.01366 4.000 4.050 4.025 -0.00822 0.14128 0.12544 -0.00161 0.16577 0.17823 0.01317 4.500 4.550 4.525 -0.01315 0.14821 0.12989 -0.00435 0.17260 0.18705 0.01372 5.000 5.050 5.025 -0.03932 0.15291 0.12933 -0.01168 0.17751 0.19458 0.01457 5.500 5.550 5.525 -0.02807 0.15723 0.13258 0.01699 0.19015 0.20741 0.03802 6.000 6.050 6.025 0.09630 0.17607 0.16483 0.12040 0.22012 0.23085 0.09652 6.500 6.550 6.525 0.16916 0.19577 0.19194 0.17213 0.23115 0.23778 0.10880 7.000 7.050 7.025 0.22604 0.20638 0.20922 0.20488 0.23239 0.23556 0.09973 7.500 7.550 7.525 0.33643 0.21319 0.23055 0.24886 0.23093 0.22886 0.08164 7.950 8.000 7.975 1.42308 0.24051 0.38597 0.37307 0.23291 0.21718 0.05509 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 540.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.04393E-01 6.56259E-03 2.42044E-03 8.98304E-03 5.69527E-03 0.023186 9 1 10.0 0.0 180.0 9.00708E-02 6.61950E-03 1.89692E-03 8.51642E-03 5.74465E-03 0.021060 9 4 10.0 45.0 135.0 9.27959E-02 6.59932E-03 1.96863E-03 8.56794E-03 5.72714E-03 0.021215 9 7 10.0 90.0 90.0 1.02296E-01 6.59375E-03 2.29487E-03 8.88862E-03 5.72231E-03 0.022434 8 1 20.0 0.0 180.0 8.31262E-02 6.61384E-03 1.74325E-03 8.35709E-03 5.73975E-03 0.020971 8 4 20.0 45.0 135.0 8.61541E-02 6.57300E-03 1.81750E-03 8.39050E-03 5.70430E-03 0.021096 8 7 20.0 90.0 90.0 9.86091E-02 6.60513E-03 2.14144E-03 8.74657E-03 5.73218E-03 0.021716 7 1 30.0 0.0 180.0 7.83172E-02 6.66855E-03 1.72665E-03 8.39520E-03 5.78722E-03 0.022047 7 4 30.0 45.0 135.0 8.11157E-02 6.66631E-03 1.79182E-03 8.45813E-03 5.78528E-03 0.022090 7 7 30.0 90.0 90.0 9.40104E-02 6.68067E-03 2.10970E-03 8.79036E-03 5.79774E-03 0.022441 6 1 40.0 0.0 180.0 7.54409E-02 6.61678E-03 1.94325E-03 8.56003E-03 5.74229E-03 0.025759 6 4 40.0 45.0 135.0 7.76709E-02 6.62381E-03 1.99705E-03 8.62087E-03 5.74840E-03 0.025712 6 7 40.0 90.0 90.0 8.96268E-02 6.66895E-03 2.32051E-03 8.98946E-03 5.78757E-03 0.025891 5 1 50.0 0.0 180.0 7.50345E-02 6.64415E-03 2.76932E-03 9.41347E-03 5.76605E-03 0.036907 5 4 50.0 45.0 135.0 7.62031E-02 6.59575E-03 2.78962E-03 9.38536E-03 5.72404E-03 0.036608 5 7 50.0 90.0 90.0 8.67621E-02 6.68286E-03 3.15582E-03 9.83868E-03 5.79964E-03 0.036373 4 1 60.0 0.0 180.0 7.87645E-02 6.46006E-03 5.53248E-03 1.19925E-02 5.60629E-03 0.070241 4 4 60.0 45.0 135.0 7.81427E-02 6.41021E-03 5.37393E-03 1.17841E-02 5.56303E-03 0.068771 4 7 60.0 90.0 90.0 8.63717E-02 6.58179E-03 5.81660E-03 1.23984E-02 5.71193E-03 0.067344 3 1 70.0 0.0 180.0 9.09475E-02 5.88697E-03 1.41565E-02 2.00435E-02 5.10894E-03 0.155656 3 4 70.0 45.0 135.0 8.71094E-02 5.90235E-03 1.33973E-02 1.92997E-02 5.12228E-03 0.153799 3 7 70.0 90.0 90.0 9.13946E-02 6.09622E-03 1.38844E-02 1.99806E-02 5.29053E-03 0.151917 2 1 80.0 0.0 180.0 1.24885E-01 4.88419E-03 3.52428E-02 4.01270E-02 4.23869E-03 0.282203 2 4 80.0 45.0 135.0 1.14320E-01 4.89335E-03 3.33926E-02 3.82859E-02 4.24663E-03 0.292098 2 7 80.0 90.0 90.0 1.10422E-01 5.07124E-03 3.35270E-02 3.85982E-02 4.40102E-03 0.303626 1 1 87.5 0.0 180.0 1.77115E-01 3.76002E-03 6.32224E-02 6.69824E-02 3.26309E-03 0.356957 1 4 87.5 45.0 135.0 1.56933E-01 3.58474E-03 6.14145E-02 6.49993E-02 3.11097E-03 0.391343 1 7 87.5 90.0 90.0 1.40213E-01 4.08111E-03 6.00956E-02 6.41767E-02 3.54174E-03 0.428604 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 540.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 8.983E-03 1.044E-01 1.220E-01 1.022E-01 1.830E-01 7.796E-03 7.504E+00 6.563E-03 5.695E-03 1 0.00 0.00 1.217E-02 1.868E-01 1.684E-02 1.980E-02 3.097E-02 1.078E-02 3.626E+00 3 0.28 0.50 1.212E-02 1.878E-01 1.489E-02 1.822E-02 3.172E-02 1.140E-02 3.655E+00 5 0.58 1.00 1.207E-02 1.889E-01 1.485E-02 1.848E-02 3.324E-02 1.207E-02 3.685E+00 7 0.92 1.50 1.202E-02 1.900E-01 1.495E-02 1.887E-02 3.464E-02 1.280E-02 3.716E+00 9 1.29 2.00 1.198E-02 1.912E-01 1.510E-02 1.929E-02 3.595E-02 1.360E-02 3.748E+00 11 1.71 2.50 1.192E-02 1.924E-01 1.538E-02 1.987E-02 3.743E-02 1.450E-02 3.779E+00 13 2.19 3.00 1.185E-02 1.935E-01 1.561E-02 2.036E-02 3.860E-02 1.549E-02 3.806E+00 15 2.73 3.50 1.177E-02 1.940E-01 1.575E-02 2.069E-02 3.931E-02 1.661E-02 3.831E+00 17 3.31 4.00 1.170E-02 1.935E-01 1.581E-02 2.088E-02 3.956E-02 1.789E-02 3.857E+00 19 3.93 4.50 1.162E-02 1.919E-01 1.589E-02 2.105E-02 3.955E-02 1.934E-02 3.888E+00 21 4.58 5.00 1.154E-02 1.889E-01 1.608E-02 2.129E-02 3.940E-02 2.096E-02 3.930E+00 23 5.27 5.50 1.140E-02 1.846E-01 1.692E-02 2.234E-02 4.038E-02 2.269E-02 3.978E+00 25 6.04 6.00 1.103E-02 1.788E-01 1.841E-02 2.407E-02 4.204E-02 2.431E-02 3.983E+00 27 6.87 6.50 1.048E-02 1.708E-01 1.842E-02 2.401E-02 4.064E-02 2.585E-02 3.903E+00 29 7.71 7.00 9.939E-03 1.609E-01 1.772E-02 2.287E-02 3.744E-02 2.754E-02 3.748E+00 31 8.52 7.50 9.491E-03 1.499E-01 1.653E-02 2.103E-02 3.322E-02 2.953E-02 3.512E+00 34 9.28 8.00 9.166E-03 1.386E-01 1.222E-02 1.418E-02 1.953E-02 3.201E-02 3.142E+00 Waveband 9 of 20 completed in 3.4 sec. * * * * * Output for wavelength band 10 (545.0 to 565.0 nm; nominal wavelength = 555.0 nm) * * * * * Index of refraction at this wavelength is 1.340 RADTRANX clear-sky spectral irradiances averaged over the band from 545.0 nm to 565.0 nm: Ed(diffuse) = 3.463E-01 Ed(direct) = 8.076E-01 Ed(total) = 1.154E+00 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 4.137E-01 Ed(direct) = 7.259E-01 Ed(total) = 1.140E+00 Absorption Coefficients of Individual Components at 555.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0596 0.0139 0.0200 0.0028 0.0963 3 0.279 0.500 0.0596 0.0152 0.0181 0.0029 0.0958 5 0.579 1.000 0.0596 0.0171 0.0164 0.0031 0.0961 7 0.909 1.500 0.0596 0.0197 0.0148 0.0032 0.0973 9 1.278 2.000 0.0596 0.0229 0.0134 0.0033 0.0992 11 1.695 2.500 0.0596 0.0265 0.0121 0.0039 0.1021 13 2.167 3.000 0.0596 0.0303 0.0110 0.0044 0.1053 15 2.692 3.500 0.0596 0.0338 0.0099 0.0050 0.1083 17 3.264 4.000 0.0596 0.0367 0.0090 0.0056 0.1108 19 3.877 4.500 0.0596 0.0386 0.0081 0.0064 0.1127 21 4.517 5.000 0.0596 0.0392 0.0074 0.0072 0.1134 23 5.190 5.500 0.0596 0.0386 0.0067 0.0111 0.1159 25 5.946 6.000 0.0596 0.0367 0.0060 0.0211 0.1234 27 6.770 6.500 0.0596 0.0338 0.0054 0.0250 0.1239 29 7.592 7.000 0.0596 0.0303 0.0049 0.0264 0.1212 31 8.383 7.500 0.0596 0.0265 0.0045 0.0273 0.1178 34 9.136 8.000 0.0596 0.0229 0.0040 0.0278 0.1143 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 0.3659 0.0000 0.0765 0.4442 3 0.279 0.500 0.0018 0.3982 0.0000 0.0803 0.4803 5 0.579 1.000 0.0018 0.4457 0.0000 0.0841 0.5317 7 0.909 1.500 0.0018 0.5096 0.0000 0.0879 0.5994 9 1.278 2.000 0.0018 0.5883 0.0000 0.0918 0.6819 11 1.695 2.500 0.0018 0.6768 0.0000 0.1071 0.7857 13 2.167 3.000 0.0018 0.7680 0.0000 0.1224 0.8922 15 2.692 3.500 0.0018 0.8527 0.0000 0.1377 0.9922 17 3.264 4.000 0.0018 0.9217 0.0000 0.1530 1.0765 19 3.877 4.500 0.0018 0.9668 0.0000 0.1759 1.1446 21 4.517 5.000 0.0018 0.9825 0.0000 0.1988 1.1832 23 5.190 5.500 0.0018 0.9668 0.0000 0.3059 1.2746 25 5.946 6.000 0.0018 0.9217 0.0000 0.5812 1.5048 27 6.770 6.500 0.0018 0.8527 0.0000 0.6883 1.5429 29 7.592 7.000 0.0018 0.7680 0.0000 0.7265 1.4964 31 8.383 7.500 0.0018 0.6768 0.0000 0.7495 1.4281 34 9.136 8.000 0.0018 0.5883 0.0000 0.7648 1.3549 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 0.00183 0.00000 0.00228 0.00503 3 0.279 0.500 0.00092 0.00199 0.00000 0.00240 0.00531 5 0.579 1.000 0.00092 0.00223 0.00000 0.00251 0.00566 7 0.909 1.500 0.00092 0.00255 0.00000 0.00263 0.00609 9 1.278 2.000 0.00092 0.00294 0.00000 0.00274 0.00660 11 1.695 2.500 0.00092 0.00338 0.00000 0.00320 0.00750 13 2.167 3.000 0.00092 0.00384 0.00000 0.00365 0.00841 15 2.692 3.500 0.00092 0.00426 0.00000 0.00411 0.00929 17 3.264 4.000 0.00092 0.00461 0.00000 0.00457 0.01010 19 3.877 4.500 0.00092 0.00483 0.00000 0.00525 0.01101 21 4.517 5.000 0.00092 0.00491 0.00000 0.00594 0.01177 23 5.190 5.500 0.00092 0.00483 0.00000 0.00914 0.01489 25 5.946 6.000 0.00092 0.00461 0.00000 0.01736 0.02289 27 6.770 6.500 0.00092 0.00426 0.00000 0.02056 0.02574 29 7.592 7.000 0.00092 0.00384 0.00000 0.02170 0.02646 31 8.383 7.500 0.00092 0.00338 0.00000 0.02238 0.02669 34 9.136 8.000 0.00092 0.00294 0.00000 0.02284 0.02670 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 0.0963 0.4442 0.5405 0.8219 0.00503 0.01133 3 0.279 0.500 0.0958 0.4803 0.5761 0.8337 0.00531 0.01105 5 0.579 1.000 0.0961 0.5317 0.6278 0.8469 0.00566 0.01065 7 0.909 1.500 0.0973 0.5994 0.6967 0.8603 0.00609 0.01017 9 1.278 2.000 0.0992 0.6819 0.7811 0.8730 0.00660 0.00968 11 1.695 2.500 0.1021 0.7857 0.8879 0.8850 0.00750 0.00955 13 2.167 3.000 0.1053 0.8922 0.9975 0.8944 0.00841 0.00943 15 2.692 3.500 0.1083 0.9922 1.1006 0.9016 0.00929 0.00937 17 3.264 4.000 0.1108 1.0765 1.1873 0.9067 0.01010 0.00938 19 3.877 4.500 0.1127 1.1446 1.2573 0.9104 0.01101 0.00962 21 4.517 5.000 0.1134 1.1832 1.2966 0.9125 0.01177 0.00995 23 5.190 5.500 0.1159 1.2746 1.3905 0.9166 0.01489 0.01168 25 5.946 6.000 0.1234 1.5048 1.6282 0.9242 0.02289 0.01521 27 6.770 6.500 0.1239 1.5429 1.6667 0.9257 0.02574 0.01668 29 7.592 7.000 0.1212 1.4964 1.6176 0.9251 0.02646 0.01768 31 8.383 7.500 0.1178 1.4281 1.5460 0.9238 0.02669 0.01869 34 9.136 8.000 0.1143 1.3549 1.4692 0.9222 0.02670 0.01971 The bottom reflectance at wavelength 555.0 nm is R = 0.108 Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 555.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.8759E-01 1.7917E+00 1.9793E+00 6.6436E-02 1.1395E+00 0.3542 0.6360 0.5422 5.8301E-02 1 0.00 0.00 9.2286E-02 1.3545E+00 1.4468E+00 4.2655E-02 1.1156E+00 0.4622 0.8236 0.7416 3.8235E-02 3 0.28 0.50 9.3253E-02 1.2835E+00 1.3767E+00 4.2990E-02 1.0488E+00 0.4610 0.8172 0.7306 4.0988E-02 5 0.58 1.00 9.4520E-02 1.2168E+00 1.3113E+00 4.3370E-02 9.8531E-01 0.4588 0.8098 0.7183 4.4016E-02 7 0.91 1.50 9.5879E-02 1.1524E+00 1.2483E+00 4.3772E-02 9.2434E-01 0.4565 0.8021 0.7054 4.7355E-02 9 1.28 2.00 9.7378E-02 1.0897E+00 1.1871E+00 4.4203E-02 8.6538E-01 0.4539 0.7942 0.6918 5.1080E-02 11 1.70 2.50 9.8878E-02 1.0284E+00 1.1273E+00 4.4594E-02 8.0788E-01 0.4510 0.7856 0.6771 5.5199E-02 13 2.17 3.00 1.0001E-01 9.6807E-01 1.0681E+00 4.4874E-02 7.5154E-01 0.4487 0.7763 0.6616 5.9709E-02 15 2.69 3.50 1.0086E-01 9.0834E-01 1.0092E+00 4.5082E-02 6.9652E-01 0.4470 0.7668 0.6455 6.4725E-02 17 3.26 4.00 1.0163E-01 8.4934E-01 9.5098E-01 4.5288E-02 6.4323E-01 0.4456 0.7573 0.6288 7.0406E-02 19 3.88 4.50 1.0259E-01 7.9160E-01 8.9419E-01 4.5538E-02 5.9210E-01 0.4439 0.7480 0.6112 7.6910E-02 21 4.52 5.00 1.0418E-01 7.3570E-01 8.3988E-01 4.5905E-02 5.4360E-01 0.4406 0.7389 0.5926 8.4447E-02 23 5.19 5.50 1.0631E-01 6.8255E-01 7.8886E-01 4.6105E-02 4.9722E-01 0.4337 0.7285 0.5719 9.2727E-02 25 5.95 6.00 1.0555E-01 6.3105E-01 7.3660E-01 4.4946E-02 4.5048E-01 0.4258 0.7139 0.5505 9.9773E-02 27 6.77 6.50 9.9642E-02 5.7758E-01 6.7723E-01 4.2189E-02 4.0408E-01 0.4234 0.6996 0.5344 1.0441E-01 29 7.59 7.00 9.1325E-02 5.2444E-01 6.1577E-01 3.8874E-02 3.6121E-01 0.4257 0.6888 0.5235 1.0762E-01 31 8.38 7.50 8.1083E-02 4.7392E-01 5.5501E-01 3.5332E-02 3.2275E-01 0.4358 0.6810 0.5179 1.0947E-01 34 9.14 8.00 6.2561E-02 4.2575E-01 4.8831E-01 3.1280E-02 2.8835E-01 0.5000 0.6773 0.5265 1.0848E-01 K-functions (units of 1/meter) at 555.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.050 0.025 -0.01219 0.11146 0.10355 -0.01360 0.12315 0.12861 0.00030 0.500 0.550 0.525 -0.02588 0.10622 0.09725 -0.01708 0.12404 0.13010 -0.00063 1.000 1.050 1.025 -0.02793 0.10764 0.09784 -0.01811 0.12628 0.13295 -0.00115 1.500 1.550 1.525 -0.02944 0.11032 0.09955 -0.01898 0.12978 0.13720 -0.00154 2.000 2.050 2.025 -0.03417 0.11392 0.10173 -0.02028 0.13452 0.14288 -0.00183 2.500 2.550 2.525 -0.02617 0.11830 0.10559 -0.01457 0.14127 0.15041 0.00140 3.000 3.050 3.025 -0.01916 0.12432 0.11084 -0.01032 0.14867 0.15880 0.00358 3.500 3.550 3.525 -0.01505 0.13117 0.11651 -0.00858 0.15607 0.16752 0.00448 4.000 4.050 4.025 -0.01747 0.13802 0.12135 -0.01037 0.16280 0.17598 0.00417 4.500 4.550 4.525 -0.02239 0.14415 0.12497 -0.01276 0.16887 0.18408 0.00468 5.000 5.050 5.025 -0.04676 0.14853 0.12420 -0.01987 0.17342 0.19134 0.00527 5.500 5.550 5.525 -0.03758 0.15170 0.12609 0.00708 0.18498 0.20325 0.02657 6.000 6.050 6.025 0.08639 0.16759 0.15594 0.10560 0.21225 0.22411 0.07975 6.500 6.550 6.525 0.15342 0.18719 0.18222 0.15229 0.22310 0.23137 0.08948 7.000 7.050 7.025 0.20373 0.19895 0.19966 0.17826 0.22530 0.23098 0.07940 7.500 7.550 7.525 0.29687 0.20694 0.22005 0.21052 0.22503 0.22681 0.06144 7.950 8.000 7.975 1.22126 0.23357 0.36287 0.30707 0.22768 0.21799 0.03696 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 1.03238E-01 6.47172E-03 2.39366E-03 8.86538E-03 5.67927E-03 0.023186 9 1 10.0 0.0 180.0 8.90739E-02 6.52151E-03 1.87593E-03 8.39744E-03 5.72295E-03 0.021060 9 4 10.0 45.0 135.0 9.17688E-02 6.50230E-03 1.94684E-03 8.44914E-03 5.70610E-03 0.021215 9 7 10.0 90.0 90.0 1.01163E-01 6.49820E-03 2.26947E-03 8.76768E-03 5.70250E-03 0.022434 8 1 20.0 0.0 180.0 8.22061E-02 6.50628E-03 1.72395E-03 8.23024E-03 5.70959E-03 0.020971 8 4 20.0 45.0 135.0 8.52006E-02 6.46732E-03 1.79738E-03 8.26471E-03 5.67540E-03 0.021096 8 7 20.0 90.0 90.0 9.75177E-02 6.50117E-03 2.11774E-03 8.61891E-03 5.70510E-03 0.021716 7 1 30.0 0.0 180.0 7.74504E-02 6.54806E-03 1.70754E-03 8.25560E-03 5.74625E-03 0.022047 7 4 30.0 45.0 135.0 8.02179E-02 6.54760E-03 1.77199E-03 8.31959E-03 5.74585E-03 0.022090 7 7 30.0 90.0 90.0 9.29699E-02 6.56471E-03 2.08635E-03 8.65106E-03 5.76086E-03 0.022441 6 1 40.0 0.0 180.0 7.46059E-02 6.47637E-03 1.92174E-03 8.39811E-03 5.68334E-03 0.025759 6 4 40.0 45.0 135.0 7.68113E-02 6.48553E-03 1.97495E-03 8.46048E-03 5.69138E-03 0.025712 6 7 40.0 90.0 90.0 8.86348E-02 6.53342E-03 2.29482E-03 8.82825E-03 5.73341E-03 0.025891 5 1 50.0 0.0 180.0 7.42040E-02 6.48355E-03 2.73867E-03 9.22222E-03 5.68964E-03 0.036907 5 4 50.0 45.0 135.0 7.53597E-02 6.43881E-03 2.75874E-03 9.19756E-03 5.65039E-03 0.036608 5 7 50.0 90.0 90.0 8.58019E-02 6.52792E-03 3.12089E-03 9.64881E-03 5.72858E-03 0.036373 4 1 60.0 0.0 180.0 7.78927E-02 6.28345E-03 5.47124E-03 1.17547E-02 5.51405E-03 0.070241 4 4 60.0 45.0 135.0 7.72779E-02 6.23782E-03 5.31445E-03 1.15523E-02 5.47400E-03 0.068771 4 7 60.0 90.0 90.0 8.54158E-02 6.40921E-03 5.75223E-03 1.21614E-02 5.62440E-03 0.067344 3 1 70.0 0.0 180.0 8.99409E-02 5.70555E-03 1.39999E-02 1.97054E-02 5.00691E-03 0.155656 3 4 70.0 45.0 135.0 8.61453E-02 5.72323E-03 1.32491E-02 1.89723E-02 5.02242E-03 0.153799 3 7 70.0 90.0 90.0 9.03831E-02 5.91559E-03 1.37307E-02 1.96463E-02 5.19123E-03 0.151917 2 1 80.0 0.0 180.0 1.23502E-01 4.71773E-03 3.48528E-02 3.95705E-02 4.14005E-03 0.282203 2 4 80.0 45.0 135.0 1.13055E-01 4.72893E-03 3.30230E-02 3.77519E-02 4.14988E-03 0.292098 2 7 80.0 90.0 90.0 1.09200E-01 4.90516E-03 3.31559E-02 3.80611E-02 4.30452E-03 0.303626 1 1 87.5 0.0 180.0 1.75155E-01 3.62030E-03 6.25227E-02 6.61430E-02 3.17699E-03 0.356957 1 4 87.5 45.0 135.0 1.55196E-01 3.45337E-03 6.07348E-02 6.41882E-02 3.03051E-03 0.391343 1 7 87.5 90.0 90.0 1.38661E-01 3.93575E-03 5.94305E-02 6.33663E-02 3.45382E-03 0.428604 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 8.865E-03 1.032E-01 1.206E-01 1.010E-01 1.809E-01 7.780E-03 7.494E+00 6.472E-03 5.679E-03 1 0.00 0.00 1.201E-02 1.847E-01 1.584E-02 1.867E-02 2.934E-02 1.076E-02 3.553E+00 3 0.28 0.50 1.201E-02 1.853E-01 1.393E-02 1.711E-02 3.000E-02 1.145E-02 3.581E+00 5 0.58 1.00 1.201E-02 1.859E-01 1.391E-02 1.738E-02 3.145E-02 1.219E-02 3.611E+00 7 0.91 1.50 1.202E-02 1.866E-01 1.406E-02 1.780E-02 3.287E-02 1.300E-02 3.642E+00 9 1.28 2.00 1.203E-02 1.874E-01 1.427E-02 1.828E-02 3.424E-02 1.390E-02 3.675E+00 11 1.70 2.50 1.203E-02 1.883E-01 1.463E-02 1.895E-02 3.583E-02 1.489E-02 3.707E+00 13 2.17 3.00 1.202E-02 1.892E-01 1.496E-02 1.954E-02 3.717E-02 1.599E-02 3.734E+00 15 2.69 3.50 1.199E-02 1.897E-01 1.519E-02 1.999E-02 3.808E-02 1.722E-02 3.759E+00 17 3.26 4.00 1.197E-02 1.893E-01 1.535E-02 2.030E-02 3.854E-02 1.860E-02 3.785E+00 19 3.88 4.50 1.194E-02 1.879E-01 1.552E-02 2.057E-02 3.873E-02 2.016E-02 3.814E+00 21 4.52 5.00 1.191E-02 1.852E-01 1.577E-02 2.090E-02 3.875E-02 2.191E-02 3.854E+00 23 5.19 5.50 1.183E-02 1.814E-01 1.670E-02 2.205E-02 3.991E-02 2.379E-02 3.898E+00 25 5.95 6.00 1.152E-02 1.762E-01 1.825E-02 2.390E-02 4.185E-02 2.558E-02 3.900E+00 27 6.77 6.50 1.105E-02 1.689E-01 1.839E-02 2.397E-02 4.069E-02 2.733E-02 3.820E+00 29 7.59 7.00 1.058E-02 1.597E-01 1.776E-02 2.293E-02 3.763E-02 2.930E-02 3.673E+00 31 8.38 7.50 1.021E-02 1.494E-01 1.666E-02 2.117E-02 3.353E-02 3.164E-02 3.460E+00 34 9.14 8.00 9.957E-03 1.386E-01 1.275E-02 1.473E-02 2.016E-02 3.453E-02 3.142E+00 Waveband 10 of 20 completed in 3.2 sec. * * * * * Output for wavelength band 11 (565.0 to 580.0 nm; nominal wavelength = 572.5 nm) * * * * * Index of refraction at this wavelength is 1.339 RADTRANX clear-sky spectral irradiances averaged over the band from 565.0 nm to 580.0 nm: Ed(diffuse) = 3.301E-01 Ed(direct) = 8.059E-01 Ed(total) = 1.136E+00 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 4.072E-01 Ed(direct) = 7.145E-01 Ed(total) = 1.122E+00 Absorption Coefficients of Individual Components at 572.5 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 0.0733 0.0115 0.0156 0.0021 0.1026 3 0.277 0.500 0.0733 0.0126 0.0142 0.0022 0.1023 5 0.575 1.000 0.0733 0.0142 0.0128 0.0023 0.1026 7 0.903 1.500 0.0733 0.0163 0.0116 0.0024 0.1037 9 1.269 2.000 0.0733 0.0190 0.0105 0.0025 0.1053 11 1.681 2.500 0.0733 0.0220 0.0095 0.0029 0.1077 13 2.147 3.000 0.0733 0.0251 0.0086 0.0033 0.1103 15 2.665 3.500 0.0733 0.0280 0.0078 0.0037 0.1129 17 3.229 4.000 0.0733 0.0304 0.0070 0.0042 0.1149 19 3.833 4.500 0.0733 0.0319 0.0064 0.0048 0.1164 21 4.462 5.000 0.0733 0.0325 0.0058 0.0054 0.1170 23 5.125 5.500 0.0733 0.0319 0.0052 0.0083 0.1188 25 5.867 6.000 0.0733 0.0304 0.0047 0.0158 0.1242 27 6.677 6.500 0.0733 0.0280 0.0043 0.0187 0.1243 29 7.483 7.000 0.0733 0.0251 0.0039 0.0198 0.1221 31 8.259 7.500 0.0733 0.0220 0.0035 0.0204 0.1192 34 8.999 8.000 0.0733 0.0190 0.0032 0.0208 0.1163 Scattering Coefficients of Individual Components at 572.5 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 0.3587 0.0000 0.0749 0.4352 3 0.277 0.500 0.0016 0.3903 0.0000 0.0786 0.4705 5 0.575 1.000 0.0016 0.4369 0.0000 0.0823 0.5209 7 0.903 1.500 0.0016 0.4996 0.0000 0.0861 0.5873 9 1.269 2.000 0.0016 0.5767 0.0000 0.0898 0.6681 11 1.681 2.500 0.0016 0.6635 0.0000 0.1048 0.7699 13 2.147 3.000 0.0016 0.7529 0.0000 0.1198 0.8742 15 2.665 3.500 0.0016 0.8359 0.0000 0.1347 0.9723 17 3.229 4.000 0.0016 0.9036 0.0000 0.1497 1.0549 19 3.833 4.500 0.0016 0.9478 0.0000 0.1722 1.1216 21 4.462 5.000 0.0016 0.9632 0.0000 0.1946 1.1594 23 5.125 5.500 0.0016 0.9478 0.0000 0.2994 1.2488 25 5.867 6.000 0.0016 0.9036 0.0000 0.5689 1.4740 27 6.677 6.500 0.0016 0.8359 0.0000 0.6737 1.5112 29 7.483 7.000 0.0016 0.7529 0.0000 0.7111 1.4656 31 8.259 7.500 0.0016 0.6635 0.0000 0.7335 1.3987 34 8.999 8.000 0.0016 0.5767 0.0000 0.7485 1.3268 Backscattering Coefficients of Individual Components at 572.5 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 0.00080 0.00179 0.00000 0.00220 0.00480 3 0.277 0.500 0.00080 0.00195 0.00000 0.00231 0.00507 5 0.575 1.000 0.00080 0.00218 0.00000 0.00242 0.00541 7 0.903 1.500 0.00080 0.00250 0.00000 0.00253 0.00583 9 1.269 2.000 0.00080 0.00288 0.00000 0.00264 0.00633 11 1.681 2.500 0.00080 0.00332 0.00000 0.00308 0.00720 13 2.147 3.000 0.00080 0.00376 0.00000 0.00352 0.00809 15 2.665 3.500 0.00080 0.00418 0.00000 0.00396 0.00895 17 3.229 4.000 0.00080 0.00452 0.00000 0.00440 0.00972 19 3.833 4.500 0.00080 0.00474 0.00000 0.00506 0.01061 21 4.462 5.000 0.00080 0.00482 0.00000 0.00572 0.01134 23 5.125 5.500 0.00080 0.00474 0.00000 0.00880 0.01435 25 5.867 6.000 0.00080 0.00452 0.00000 0.01673 0.02205 27 6.677 6.500 0.00080 0.00418 0.00000 0.01981 0.02479 29 7.483 7.000 0.00080 0.00376 0.00000 0.02091 0.02548 31 8.259 7.500 0.00080 0.00332 0.00000 0.02157 0.02569 34 8.999 8.000 0.00080 0.00288 0.00000 0.02201 0.02570 Summary of Inherent Optical Properties at 572.5 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 0.1026 0.4352 0.5378 0.8092 0.00480 0.01103 3 0.277 0.500 0.1023 0.4705 0.5728 0.8214 0.00507 0.01077 5 0.575 1.000 0.1026 0.5209 0.6235 0.8354 0.00541 0.01039 7 0.903 1.500 0.1037 0.5873 0.6909 0.8500 0.00583 0.00993 9 1.269 2.000 0.1053 0.6681 0.7734 0.8638 0.00633 0.00947 11 1.681 2.500 0.1077 0.7699 0.8776 0.8773 0.00720 0.00936 13 2.147 3.000 0.1103 0.8742 0.9846 0.8879 0.00809 0.00925 15 2.665 3.500 0.1129 0.9723 1.0851 0.8960 0.00895 0.00920 17 3.229 4.000 0.1149 1.0549 1.1698 0.9018 0.00972 0.00922 19 3.833 4.500 0.1164 1.1216 1.2380 0.9060 0.01061 0.00946 21 4.462 5.000 0.1170 1.1594 1.2764 0.9083 0.01134 0.00978 23 5.125 5.500 0.1188 1.2488 1.3676 0.9131 0.01435 0.01149 25 5.867 6.000 0.1242 1.4740 1.5983 0.9223 0.02205 0.01496 27 6.677 6.500 0.1243 1.5112 1.6355 0.9240 0.02479 0.01641 29 7.483 7.000 0.1221 1.4656 1.5876 0.9231 0.02548 0.01738 31 8.259 7.500 0.1192 1.3987 1.5179 0.9215 0.02569 0.01837 34 8.999 8.000 0.1163 1.3268 1.4431 0.9194 0.02570 0.01937 The bottom reflectance at wavelength 572.5 nm is R = 0.110 Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 572.5 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.8119E-01 1.7637E+00 1.9449E+00 6.3595E-02 1.1217E+00 0.3510 0.6360 0.5441 5.6694E-02 1 0.00 0.00 8.2362E-02 1.3270E+00 1.4093E+00 3.8203E-02 1.0962E+00 0.4638 0.8261 0.7507 3.4851E-02 3 0.28 0.50 8.3368E-02 1.2527E+00 1.3361E+00 3.8589E-02 1.0269E+00 0.4629 0.8197 0.7397 3.7579E-02 5 0.58 1.00 8.4692E-02 1.1830E+00 1.2677E+00 3.9035E-02 9.6118E-01 0.4609 0.8125 0.7274 4.0612E-02 7 0.90 1.50 8.6150E-02 1.1160E+00 1.2022E+00 3.9519E-02 8.9844E-01 0.4587 0.8050 0.7145 4.3986E-02 9 1.27 2.00 8.7783E-02 1.0513E+00 1.1391E+00 4.0043E-02 8.3821E-01 0.4562 0.7973 0.7007 4.7772E-02 11 1.68 2.50 8.9449E-02 9.8873E-01 1.0782E+00 4.0537E-02 7.7999E-01 0.4532 0.7889 0.6858 5.1971E-02 13 2.15 3.00 9.0779E-02 9.2782E-01 1.0186E+00 4.0930E-02 7.2350E-01 0.4509 0.7798 0.6701 5.6572E-02 15 2.66 3.50 9.1846E-02 8.6821E-01 9.6005E-01 4.1259E-02 6.6885E-01 0.4492 0.7704 0.6537 6.1686E-02 17 3.23 4.00 9.2852E-02 8.0991E-01 9.0276E-01 4.1590E-02 6.1634E-01 0.4479 0.7610 0.6367 6.7480E-02 19 3.83 4.50 9.4051E-02 7.5331E-01 8.4736E-01 4.1973E-02 5.6627E-01 0.4463 0.7517 0.6187 7.4123E-02 21 4.46 5.00 9.5893E-02 6.9884E-01 7.9473E-01 4.2485E-02 5.1900E-01 0.4430 0.7427 0.5996 8.1859E-02 23 5.12 5.50 9.8348E-02 6.4744E-01 7.4579E-01 4.2867E-02 4.7409E-01 0.4359 0.7323 0.5782 9.0420E-02 25 5.87 6.00 9.8159E-02 5.9855E-01 6.9671E-01 4.1987E-02 4.2945E-01 0.4277 0.7175 0.5561 9.7769E-02 27 6.68 6.50 9.3061E-02 5.4844E-01 6.4150E-01 3.9608E-02 3.8555E-01 0.4256 0.7030 0.5393 1.0273E-01 29 7.48 7.00 8.5719E-02 4.9853E-01 5.8425E-01 3.6723E-02 3.4498E-01 0.4284 0.6920 0.5276 1.0645E-01 31 8.26 7.50 7.6690E-02 4.5087E-01 5.2756E-01 3.3662E-02 3.0845E-01 0.4389 0.6841 0.5209 1.0913E-01 34 9.00 8.00 6.0384E-02 4.0533E-01 4.6572E-01 3.0192E-02 2.7569E-01 0.5000 0.6802 0.5271 1.0951E-01 K-functions (units of 1/meter) at 572.5 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 0.050 0.025 -0.01532 0.11831 0.11047 -0.01763 0.13023 0.13559 -0.00458 0.500 0.550 0.525 -0.02986 0.11398 0.10498 -0.02206 0.13134 0.13736 -0.00612 1.000 1.050 1.025 -0.03307 0.11551 0.10555 -0.02395 0.13359 0.14029 -0.00713 1.500 1.550 1.525 -0.03557 0.11801 0.10697 -0.02548 0.13690 0.14440 -0.00787 2.000 2.050 2.025 -0.04125 0.12121 0.10865 -0.02725 0.14126 0.14975 -0.00839 2.500 2.550 2.525 -0.03310 0.12489 0.11174 -0.02144 0.14735 0.15664 -0.00521 3.000 3.050 3.025 -0.02565 0.13012 0.11619 -0.01708 0.15402 0.16433 -0.00309 3.500 3.550 3.525 -0.02147 0.13618 0.12105 -0.01536 0.16071 0.17234 -0.00230 4.000 4.050 4.025 -0.02417 0.14237 0.12518 -0.01746 0.16683 0.18024 -0.00281 4.500 4.550 4.525 -0.02971 0.14795 0.12815 -0.02043 0.17240 0.18791 -0.00261 5.000 5.050 5.025 -0.05705 0.15198 0.12664 -0.02879 0.17663 0.19505 -0.00248 5.500 5.550 5.525 -0.04881 0.15365 0.12684 -0.00263 0.18690 0.20584 0.01811 6.000 6.050 6.025 0.07766 0.16570 0.15328 0.09631 0.21086 0.22331 0.07014 6.500 6.550 6.525 0.14468 0.18471 0.17890 0.14137 0.22102 0.23016 0.07896 7.000 7.050 7.025 0.19176 0.19705 0.19627 0.16377 0.22366 0.23080 0.06830 7.500 7.550 7.525 0.27570 0.20562 0.21579 0.18979 0.22400 0.22820 0.05028 7.950 8.000 7.975 1.12021 0.23094 0.34849 0.27269 0.22687 0.22123 0.02675 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 572.5 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 1.01624E-01 5.87812E-03 2.34379E-03 8.22191E-03 5.24023E-03 0.023063 9 1 10.0 0.0 180.0 8.76820E-02 5.92200E-03 1.83685E-03 7.75884E-03 5.27935E-03 0.020949 9 4 10.0 45.0 135.0 9.03348E-02 5.90470E-03 1.90628E-03 7.81099E-03 5.26394E-03 0.021102 9 7 10.0 90.0 90.0 9.95826E-02 5.89970E-03 2.22220E-03 8.12189E-03 5.25947E-03 0.022315 8 1 20.0 0.0 180.0 8.09215E-02 5.90199E-03 1.68808E-03 7.59007E-03 5.26151E-03 0.020861 8 4 20.0 45.0 135.0 8.38692E-02 5.86662E-03 1.75999E-03 7.62661E-03 5.22998E-03 0.020985 8 7 20.0 90.0 90.0 9.59938E-02 5.89610E-03 2.07368E-03 7.96978E-03 5.25627E-03 0.021602 7 1 30.0 0.0 180.0 7.62401E-02 5.93341E-03 1.67221E-03 7.60562E-03 5.28953E-03 0.021933 7 4 30.0 45.0 135.0 7.89644E-02 5.93142E-03 1.73532E-03 7.66674E-03 5.28775E-03 0.021976 7 7 30.0 90.0 90.0 9.15171E-02 5.94485E-03 2.04316E-03 7.98801E-03 5.29972E-03 0.022325 6 1 40.0 0.0 180.0 7.34401E-02 5.85442E-03 1.88263E-03 7.73705E-03 5.21911E-03 0.025635 6 4 40.0 45.0 135.0 7.56110E-02 5.86247E-03 1.93473E-03 7.79720E-03 5.22628E-03 0.025588 6 7 40.0 90.0 90.0 8.72497E-02 5.90450E-03 2.24808E-03 8.15257E-03 5.26375E-03 0.025766 5 1 50.0 0.0 180.0 7.30445E-02 5.84891E-03 2.68497E-03 8.53389E-03 5.21420E-03 0.036758 5 4 50.0 45.0 135.0 7.41821E-02 5.80673E-03 2.70461E-03 8.51133E-03 5.17659E-03 0.036459 5 7 50.0 90.0 90.0 8.44611E-02 5.88460E-03 3.05958E-03 8.94417E-03 5.24601E-03 0.036225 4 1 60.0 0.0 180.0 7.66755E-02 5.65666E-03 5.37002E-03 1.10267E-02 5.04281E-03 0.070036 4 4 60.0 45.0 135.0 7.60703E-02 5.61305E-03 5.21598E-03 1.08290E-02 5.00394E-03 0.068568 4 7 60.0 90.0 90.0 8.40810E-02 5.76672E-03 5.64541E-03 1.14121E-02 5.14092E-03 0.067142 3 1 70.0 0.0 180.0 8.85354E-02 5.12138E-03 1.37555E-02 1.88769E-02 4.56561E-03 0.155368 3 4 70.0 45.0 135.0 8.47991E-02 5.13624E-03 1.30175E-02 1.81538E-02 4.57886E-03 0.153510 3 7 70.0 90.0 90.0 8.89707E-02 5.30805E-03 1.34902E-02 1.87983E-02 4.73203E-03 0.151625 2 1 80.0 0.0 180.0 1.21573E-01 4.22491E-03 3.42707E-02 3.84956E-02 3.76643E-03 0.281895 2 4 80.0 45.0 135.0 1.11288E-01 4.23537E-03 3.24713E-02 3.67067E-02 3.77575E-03 0.291777 2 7 80.0 90.0 90.0 1.07493E-01 4.39268E-03 3.26012E-02 3.69939E-02 3.91599E-03 0.303286 1 1 87.5 0.0 180.0 1.72417E-01 3.23506E-03 6.15044E-02 6.47395E-02 2.88400E-03 0.356718 1 4 87.5 45.0 135.0 1.52771E-01 3.08865E-03 5.97460E-02 6.28347E-02 2.75348E-03 0.391083 1 7 87.5 90.0 90.0 1.36494E-01 3.52221E-03 5.84622E-02 6.19845E-02 3.13998E-03 0.428314 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 572.5 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 8.222E-03 1.016E-01 1.186E-01 9.924E-02 1.778E-01 7.330E-03 7.735E+00 5.878E-03 5.240E-03 1 0.00 0.00 1.089E-02 1.815E-01 1.399E-02 1.656E-02 2.637E-02 9.932E-03 3.509E+00 3 0.28 0.50 1.092E-02 1.813E-01 1.229E-02 1.520E-02 2.708E-02 1.063E-02 3.535E+00 5 0.58 1.00 1.095E-02 1.811E-01 1.228E-02 1.545E-02 2.838E-02 1.139E-02 3.564E+00 7 0.90 1.50 1.099E-02 1.810E-01 1.242E-02 1.584E-02 2.967E-02 1.224E-02 3.595E+00 9 1.27 2.00 1.104E-02 1.810E-01 1.264E-02 1.630E-02 3.094E-02 1.317E-02 3.628E+00 11 1.68 2.50 1.108E-02 1.812E-01 1.302E-02 1.695E-02 3.246E-02 1.420E-02 3.660E+00 13 2.15 3.00 1.110E-02 1.814E-01 1.336E-02 1.754E-02 3.376E-02 1.534E-02 3.688E+00 15 2.66 3.50 1.111E-02 1.813E-01 1.361E-02 1.800E-02 3.466E-02 1.662E-02 3.713E+00 17 3.23 4.00 1.113E-02 1.805E-01 1.380E-02 1.833E-02 3.515E-02 1.805E-02 3.738E+00 19 3.83 4.50 1.114E-02 1.788E-01 1.399E-02 1.862E-02 3.538E-02 1.968E-02 3.767E+00 21 4.46 5.00 1.116E-02 1.759E-01 1.425E-02 1.896E-02 3.546E-02 2.150E-02 3.808E+00 23 5.12 5.50 1.112E-02 1.720E-01 1.518E-02 2.010E-02 3.669E-02 2.346E-02 3.854E+00 25 5.87 6.00 1.089E-02 1.671E-01 1.673E-02 2.200E-02 3.881E-02 2.535E-02 3.856E+00 27 6.68 6.50 1.049E-02 1.604E-01 1.695E-02 2.216E-02 3.794E-02 2.720E-02 3.777E+00 29 7.48 7.00 1.010E-02 1.519E-01 1.641E-02 2.125E-02 3.519E-02 2.929E-02 3.635E+00 31 8.26 7.50 9.802E-03 1.422E-01 1.543E-02 1.967E-02 3.141E-02 3.178E-02 3.434E+00 34 9.00 8.00 9.610E-03 1.321E-01 1.205E-02 1.391E-02 1.910E-02 3.486E-02 3.142E+00 Waveband 11 of 20 completed in 3.5 sec. * * * * * Output for wavelength band 12 (580.0 to 600.0 nm; nominal wavelength = 590.0 nm) * * * * * Index of refraction at this wavelength is 1.338 RADTRANX clear-sky spectral irradiances averaged over the band from 580.0 nm to 600.0 nm: Ed(diffuse) = 3.088E-01 Ed(direct) = 7.862E-01 Ed(total) = 1.095E+00 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 3.925E-01 Ed(direct) = 6.888E-01 Ed(total) = 1.081E+00 Absorption Coefficients of Individual Components at 590.0 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 0.1351 0.0122 0.0122 0.0017 0.1612 3 0.302 0.500 0.1351 0.0133 0.0111 0.0018 0.1613 5 0.624 1.000 0.1351 0.0150 0.0100 0.0019 0.1620 7 0.976 1.500 0.1351 0.0172 0.0091 0.0020 0.1634 9 1.365 2.000 0.1351 0.0200 0.0082 0.0020 0.1654 11 1.800 2.500 0.1351 0.0232 0.0074 0.0024 0.1681 13 2.287 3.000 0.1351 0.0265 0.0067 0.0027 0.1711 15 2.826 3.500 0.1351 0.0296 0.0061 0.0031 0.1738 17 3.410 4.000 0.1351 0.0321 0.0055 0.0034 0.1761 19 4.032 4.500 0.1351 0.0337 0.0050 0.0039 0.1777 21 4.681 5.000 0.1351 0.0343 0.0045 0.0044 0.1784 23 5.361 5.500 0.1351 0.0337 0.0041 0.0068 0.1797 25 6.119 6.000 0.1351 0.0321 0.0037 0.0130 0.1838 27 6.941 6.500 0.1351 0.0296 0.0033 0.0154 0.1834 29 7.759 7.000 0.1351 0.0265 0.0030 0.0162 0.1808 31 8.549 7.500 0.1351 0.0232 0.0027 0.0167 0.1778 34 9.302 8.000 0.1351 0.0200 0.0025 0.0171 0.1747 Scattering Coefficients of Individual Components at 590.0 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 0.3515 0.0000 0.0729 0.4258 3 0.302 0.500 0.0014 0.3825 0.0000 0.0766 0.4605 5 0.624 1.000 0.0014 0.4281 0.0000 0.0802 0.5098 7 0.976 1.500 0.0014 0.4896 0.0000 0.0838 0.5748 9 1.365 2.000 0.0014 0.5651 0.0000 0.0875 0.6540 11 1.800 2.500 0.0014 0.6502 0.0000 0.1021 0.7537 13 2.287 3.000 0.0014 0.7377 0.0000 0.1167 0.8558 15 2.826 3.500 0.0014 0.8191 0.0000 0.1312 0.9518 17 3.410 4.000 0.0014 0.8854 0.0000 0.1458 1.0326 19 4.032 4.500 0.0014 0.9287 0.0000 0.1677 1.0979 21 4.681 5.000 0.0014 0.9438 0.0000 0.1896 1.1348 23 5.361 5.500 0.0014 0.9287 0.0000 0.2917 1.2218 25 6.119 6.000 0.0014 0.8854 0.0000 0.5541 1.4410 27 6.941 6.500 0.0014 0.8191 0.0000 0.6562 1.4768 29 7.759 7.000 0.0014 0.7377 0.0000 0.6927 1.4318 31 8.549 7.500 0.0014 0.6502 0.0000 0.7145 1.3661 34 9.302 8.000 0.0014 0.5651 0.0000 0.7291 1.2956 Backscattering Coefficients of Individual Components at 590.0 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 0.00071 0.00176 0.00000 0.00211 0.00458 3 0.302 0.500 0.00071 0.00191 0.00000 0.00222 0.00484 5 0.624 1.000 0.00071 0.00214 0.00000 0.00232 0.00517 7 0.976 1.500 0.00071 0.00245 0.00000 0.00243 0.00558 9 1.365 2.000 0.00071 0.00283 0.00000 0.00253 0.00607 11 1.800 2.500 0.00071 0.00325 0.00000 0.00296 0.00691 13 2.287 3.000 0.00071 0.00369 0.00000 0.00338 0.00777 15 2.826 3.500 0.00071 0.00410 0.00000 0.00380 0.00860 17 3.410 4.000 0.00071 0.00443 0.00000 0.00422 0.00936 19 4.032 4.500 0.00071 0.00464 0.00000 0.00486 0.01021 21 4.681 5.000 0.00071 0.00472 0.00000 0.00549 0.01092 23 5.361 5.500 0.00071 0.00464 0.00000 0.00845 0.01380 25 6.119 6.000 0.00071 0.00443 0.00000 0.01605 0.02118 27 6.941 6.500 0.00071 0.00410 0.00000 0.01901 0.02381 29 7.759 7.000 0.00071 0.00369 0.00000 0.02006 0.02446 31 8.549 7.500 0.00071 0.00325 0.00000 0.02070 0.02465 34 9.302 8.000 0.00071 0.00283 0.00000 0.02112 0.02465 Summary of Inherent Optical Properties at 590.0 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 0.1612 0.4258 0.5870 0.7253 0.00458 0.01075 3 0.302 0.500 0.1613 0.4605 0.6217 0.7406 0.00484 0.01050 5 0.624 1.000 0.1620 0.5098 0.6718 0.7589 0.00517 0.01014 7 0.976 1.500 0.1634 0.5748 0.7382 0.7787 0.00558 0.00971 9 1.365 2.000 0.1654 0.6540 0.8194 0.7981 0.00607 0.00928 11 1.800 2.500 0.1681 0.7537 0.9218 0.8176 0.00691 0.00917 13 2.287 3.000 0.1711 0.8558 1.0269 0.8334 0.00777 0.00908 15 2.826 3.500 0.1738 0.9518 1.1256 0.8456 0.00860 0.00904 17 3.410 4.000 0.1761 1.0326 1.2087 0.8543 0.00936 0.00906 19 4.032 4.500 0.1777 1.0979 1.2756 0.8607 0.01021 0.00930 21 4.681 5.000 0.1784 1.1348 1.3132 0.8642 0.01092 0.00962 23 5.361 5.500 0.1797 1.2218 1.4015 0.8718 0.01380 0.01129 25 6.119 6.000 0.1838 1.4410 1.6248 0.8869 0.02118 0.01470 27 6.941 6.500 0.1834 1.4768 1.6601 0.8895 0.02381 0.01612 29 7.759 7.000 0.1808 1.4318 1.6127 0.8879 0.02446 0.01708 31 8.549 7.500 0.1778 1.3661 1.5439 0.8849 0.02465 0.01805 34 9.302 8.000 0.1747 1.2956 1.4703 0.8812 0.02465 0.01903 The bottom reflectance at wavelength 590.0 nm is R = 0.106 Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 590.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.5767E-01 1.7001E+00 1.8577E+00 5.2214E-02 1.0813E+00 0.3312 0.6360 0.5539 4.8289E-02 1 0.00 0.00 4.1359E-02 1.2498E+00 1.2912E+00 1.8415E-02 1.0474E+00 0.4452 0.8380 0.7969 1.7582E-02 3 0.30 0.50 4.1034E-02 1.1409E+00 1.1819E+00 1.8254E-02 9.4806E-01 0.4448 0.8310 0.7867 1.9254E-02 5 0.62 1.00 4.0876E-02 1.0399E+00 1.0808E+00 1.8160E-02 8.5704E-01 0.4443 0.8242 0.7762 2.1189E-02 7 0.98 1.50 4.0844E-02 9.4603E-01 9.8687E-01 1.8123E-02 7.7334E-01 0.4437 0.8175 0.7653 2.3434E-02 9 1.36 2.00 4.0984E-02 8.5880E-01 8.9979E-01 1.8148E-02 6.9620E-01 0.4428 0.8107 0.7536 2.6067E-02 11 1.80 2.50 4.1196E-02 7.7787E-01 8.1907E-01 1.8183E-02 6.2490E-01 0.4414 0.8033 0.7407 2.9098E-02 13 2.29 3.00 4.1201E-02 7.0261E-01 7.4382E-01 1.8175E-02 5.5890E-01 0.4411 0.7955 0.7270 3.2519E-02 15 2.83 3.50 4.1077E-02 6.3254E-01 6.7361E-01 1.8163E-02 4.9801E-01 0.4422 0.7873 0.7123 3.6472E-02 17 3.41 4.00 4.0999E-02 5.6744E-01 6.0844E-01 1.8211E-02 4.4218E-01 0.4442 0.7792 0.6968 4.1185E-02 19 4.03 4.50 4.1181E-02 5.0738E-01 5.4856E-01 1.8373E-02 3.9134E-01 0.4462 0.7713 0.6799 4.6949E-02 21 4.68 5.00 4.1991E-02 4.5237E-01 4.9436E-01 1.8729E-02 3.4543E-01 0.4460 0.7636 0.6609 5.4220E-02 23 5.36 5.50 4.3543E-02 4.0283E-01 4.4637E-01 1.9154E-02 3.0389E-01 0.4399 0.7544 0.6379 6.3029E-02 25 6.12 6.00 4.3899E-02 3.5829E-01 4.0219E-01 1.8974E-02 2.6523E-01 0.4322 0.7403 0.6123 7.1535E-02 27 6.94 6.50 4.1709E-02 3.1614E-01 3.5785E-01 1.8076E-02 2.2954E-01 0.4334 0.7261 0.5909 7.8749E-02 29 7.76 7.00 3.8787E-02 2.7667E-01 3.1545E-01 1.7098E-02 1.9800E-01 0.4408 0.7157 0.5735 8.6353E-02 31 8.55 7.50 3.5811E-02 2.4111E-01 2.7693E-01 1.6275E-02 1.7071E-01 0.4545 0.7080 0.5577 9.5335E-02 34 9.30 8.00 3.1134E-02 2.0937E-01 2.4050E-01 1.5567E-02 1.4723E-01 0.5000 0.7032 0.5475 1.0573E-01 K-functions (units of 1/meter) at 590.0 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 0.050 0.025 0.02287 0.18221 0.17709 0.02154 0.19828 0.20146 0.02508 0.500 0.550 0.525 0.01064 0.18377 0.17774 0.01339 0.20055 0.20424 0.01839 1.000 1.050 1.025 0.00439 0.18742 0.18047 0.00689 0.20372 0.20800 0.01244 1.500 1.550 1.525 -0.00232 0.19144 0.18338 0.00053 0.20788 0.21289 0.00687 2.000 2.050 2.025 -0.01499 0.19592 0.18627 -0.00675 0.21306 0.21898 0.00152 2.500 2.550 2.525 -0.00451 0.20075 0.19037 -0.00071 0.21990 0.22655 0.00232 3.000 3.050 3.025 0.00410 0.20701 0.19572 0.00201 0.22730 0.23492 0.00053 3.500 3.550 3.525 0.00654 0.21400 0.20129 -0.00098 0.23469 0.24366 -0.00434 4.000 4.050 4.025 -0.00331 0.22096 0.20577 -0.01206 0.24143 0.25239 -0.01218 4.500 4.550 4.525 -0.01986 0.22712 0.20847 -0.02676 0.24747 0.26108 -0.01970 5.000 5.050 5.025 -0.07507 0.23153 0.20531 -0.05328 0.25205 0.26969 -0.02790 5.500 5.550 5.525 -0.08030 0.23271 0.20196 -0.03304 0.26194 0.28194 -0.00958 6.000 6.050 6.025 0.07842 0.24171 0.22382 0.08206 0.28438 0.30005 0.04513 6.500 6.550 6.525 0.14136 0.26322 0.24898 0.11449 0.29437 0.30982 0.04358 7.000 7.050 7.025 0.15331 0.27195 0.25732 0.10643 0.29669 0.31476 0.01983 7.500 7.550 7.525 0.17398 0.27825 0.26473 0.08962 0.29626 0.31816 -0.00892 7.950 8.000 7.975 0.67444 0.29267 0.34250 0.10623 0.29650 0.31888 -0.03725 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 590.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 9.79602E-02 2.76920E-03 2.25260E-03 5.02180E-03 2.56103E-03 0.022995 9 1 10.0 0.0 180.0 8.45206E-02 2.80320E-03 1.76538E-03 4.56858E-03 2.59247E-03 0.020887 9 4 10.0 45.0 135.0 8.70778E-02 2.79019E-03 1.83212E-03 4.62231E-03 2.58044E-03 0.021040 9 7 10.0 90.0 90.0 9.59921E-02 2.77660E-03 2.13574E-03 4.91234E-03 2.56787E-03 0.022249 8 1 20.0 0.0 180.0 7.80039E-02 2.79897E-03 1.62243E-03 4.42140E-03 2.58856E-03 0.020799 8 4 20.0 45.0 135.0 8.08453E-02 2.77390E-03 1.69154E-03 4.46544E-03 2.56537E-03 0.020923 8 7 20.0 90.0 90.0 9.25327E-02 2.76980E-03 1.99304E-03 4.76284E-03 2.56158E-03 0.021539 7 1 30.0 0.0 180.0 7.34913E-02 2.81788E-03 1.60728E-03 4.42516E-03 2.60605E-03 0.021870 7 4 30.0 45.0 135.0 7.61173E-02 2.80478E-03 1.66794E-03 4.47272E-03 2.59393E-03 0.021913 7 7 30.0 90.0 90.0 8.82174E-02 2.78650E-03 1.96383E-03 4.75032E-03 2.57703E-03 0.022261 6 1 40.0 0.0 180.0 7.07922E-02 2.78258E-03 1.80988E-03 4.59246E-03 2.57341E-03 0.025566 6 4 40.0 45.0 135.0 7.28848E-02 2.77061E-03 1.85996E-03 4.63057E-03 2.56233E-03 0.025519 6 7 40.0 90.0 90.0 8.41039E-02 2.75949E-03 2.16119E-03 4.92068E-03 2.55205E-03 0.025697 5 1 50.0 0.0 180.0 7.04109E-02 2.78222E-03 2.58232E-03 5.36454E-03 2.57307E-03 0.036675 5 4 50.0 45.0 135.0 7.15075E-02 2.74355E-03 2.60118E-03 5.34473E-03 2.53730E-03 0.036376 5 7 50.0 90.0 90.0 8.14158E-02 2.74599E-03 2.94254E-03 5.68853E-03 2.53957E-03 0.036142 4 1 60.0 0.0 180.0 7.39110E-02 2.69401E-03 5.16798E-03 7.86199E-03 2.49149E-03 0.069922 4 4 60.0 45.0 135.0 7.33275E-02 2.65277E-03 5.01964E-03 7.67241E-03 2.45335E-03 0.068455 4 7 60.0 90.0 90.0 8.10495E-02 2.68998E-03 5.43279E-03 8.12277E-03 2.48777E-03 0.067030 3 1 70.0 0.0 180.0 8.53433E-02 2.44495E-03 1.32459E-02 1.56908E-02 2.26115E-03 0.155207 3 4 70.0 45.0 135.0 8.17417E-02 2.43241E-03 1.25351E-02 1.49675E-02 2.24956E-03 0.153350 3 7 70.0 90.0 90.0 8.57629E-02 2.48138E-03 1.29899E-02 1.54713E-02 2.29484E-03 0.151463 2 1 80.0 0.0 180.0 1.17189E-01 2.02349E-03 3.30150E-02 3.50385E-02 1.87138E-03 0.281724 2 4 80.0 45.0 135.0 1.07275E-01 2.01203E-03 3.12814E-02 3.32934E-02 1.86078E-03 0.291599 2 7 80.0 90.0 90.0 1.03618E-01 2.06043E-03 3.14062E-02 3.34666E-02 1.90554E-03 0.303097 1 1 87.5 0.0 180.0 1.66201E-01 1.55717E-03 5.92648E-02 6.08220E-02 1.44012E-03 0.356585 1 4 87.5 45.0 135.0 1.47262E-01 1.47514E-03 5.75706E-02 5.90457E-02 1.36425E-03 0.390939 1 7 87.5 90.0 90.0 1.31573E-01 1.66278E-03 5.63332E-02 5.79960E-02 1.53778E-03 0.428153 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 590.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 5.022E-03 9.796E-02 1.135E-01 9.478E-02 1.703E-01 4.644E-03 1.040E+01 2.769E-03 2.561E-03 1 0.00 0.00 5.125E-03 1.747E-01 7.501E-03 8.916E-03 1.508E-02 4.893E-03 3.593E+00 3 0.30 0.50 5.069E-03 1.691E-01 6.669E-03 8.442E-03 1.617E-02 5.346E-03 3.601E+00 5 0.62 1.00 5.029E-03 1.637E-01 6.557E-03 8.445E-03 1.660E-02 5.868E-03 3.611E+00 7 0.98 1.50 5.004E-03 1.585E-01 6.484E-03 8.463E-03 1.691E-02 6.471E-03 3.621E+00 9 1.36 2.00 4.993E-03 1.535E-01 6.440E-03 8.499E-03 1.716E-02 7.172E-03 3.634E+00 11 1.80 2.50 4.988E-03 1.487E-01 6.497E-03 8.660E-03 1.759E-02 7.983E-03 3.645E+00 13 2.29 3.00 4.984E-03 1.441E-01 6.518E-03 8.761E-03 1.784E-02 8.917E-03 3.647E+00 15 2.83 3.50 4.987E-03 1.392E-01 6.473E-03 8.758E-03 1.781E-02 1.001E-02 3.642E+00 17 3.41 4.00 5.006E-03 1.340E-01 6.371E-03 8.658E-03 1.751E-02 1.132E-02 3.638E+00 19 4.03 4.50 5.045E-03 1.283E-01 6.268E-03 8.539E-03 1.707E-02 1.289E-02 3.642E+00 21 4.68 5.00 5.106E-03 1.221E-01 6.214E-03 8.451E-03 1.658E-02 1.478E-02 3.668E+00 23 5.36 5.50 5.158E-03 1.154E-01 6.593E-03 8.902E-03 1.693E-02 1.697E-02 3.713E+00 25 6.12 6.00 5.114E-03 1.084E-01 7.352E-03 9.846E-03 1.805E-02 1.928E-02 3.710E+00 27 6.94 6.50 4.999E-03 1.006E-01 7.458E-03 9.875E-03 1.740E-02 2.178E-02 3.616E+00 29 7.76 7.00 4.916E-03 9.216E-02 7.003E-03 9.185E-03 1.564E-02 2.483E-02 3.478E+00 31 8.55 7.50 4.899E-03 8.355E-02 6.507E-03 8.370E-03 1.366E-02 2.870E-02 3.322E+00 34 9.30 8.00 4.955E-03 7.515E-02 5.572E-03 6.377E-03 8.671E-03 3.365E-02 3.142E+00 Waveband 12 of 20 completed in 3.6 sec. * * * * * Output for wavelength band 13 (600.0 to 620.0 nm; nominal wavelength = 610.0 nm) * * * * * Index of refraction at this wavelength is 1.338 RADTRANX clear-sky spectral irradiances averaged over the band from 600.0 nm to 620.0 nm: Ed(diffuse) = 2.974E-01 Ed(direct) = 7.927E-01 Ed(total) = 1.090E+00 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 3.908E-01 Ed(direct) = 6.857E-01 Ed(total) = 1.076E+00 Absorption Coefficients of Individual Components at 610.0 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 0.2644 0.0109 0.0093 0.0015 0.2860 3 0.358 0.500 0.2644 0.0119 0.0084 0.0016 0.2862 5 0.737 1.000 0.2644 0.0134 0.0076 0.0017 0.2870 7 1.144 1.500 0.2644 0.0154 0.0069 0.0017 0.2884 9 1.588 2.000 0.2644 0.0179 0.0062 0.0018 0.2903 11 2.076 2.500 0.2644 0.0207 0.0056 0.0021 0.2929 13 2.615 3.000 0.2644 0.0237 0.0051 0.0024 0.2956 15 3.205 3.500 0.2644 0.0264 0.0046 0.0027 0.2981 17 3.838 4.000 0.2644 0.0287 0.0042 0.0030 0.3002 19 4.509 4.500 0.2644 0.0301 0.0038 0.0035 0.3018 21 5.205 5.000 0.2644 0.0306 0.0034 0.0039 0.3024 23 5.931 5.500 0.2644 0.0301 0.0031 0.0060 0.3036 25 6.732 6.000 0.2644 0.0287 0.0028 0.0115 0.3073 27 7.594 6.500 0.2644 0.0264 0.0025 0.0136 0.3069 29 8.452 7.000 0.2644 0.0237 0.0023 0.0143 0.3047 31 9.282 7.500 0.2644 0.0207 0.0021 0.0148 0.3020 34 10.076 8.000 0.2644 0.0179 0.0019 0.0151 0.2993 Scattering Coefficients of Individual Components at 610.0 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 0.3432 0.0000 0.0701 0.4146 3 0.358 0.500 0.0012 0.3735 0.0000 0.0736 0.4484 5 0.737 1.000 0.0012 0.4181 0.0000 0.0771 0.4965 7 1.144 1.500 0.0012 0.4781 0.0000 0.0806 0.5600 9 1.588 2.000 0.0012 0.5518 0.0000 0.0842 0.6372 11 2.076 2.500 0.0012 0.6349 0.0000 0.0982 0.7343 13 2.615 3.000 0.0012 0.7204 0.0000 0.1122 0.8339 15 3.205 3.500 0.0012 0.7999 0.0000 0.1262 0.9274 17 3.838 4.000 0.0012 0.8647 0.0000 0.1403 1.0061 19 4.509 4.500 0.0012 0.9070 0.0000 0.1613 1.0695 21 5.205 5.000 0.0012 0.9217 0.0000 0.1823 1.1052 23 5.931 5.500 0.0012 0.9070 0.0000 0.2805 1.1887 25 6.732 6.000 0.0012 0.8647 0.0000 0.5330 1.3988 27 7.594 6.500 0.0012 0.7999 0.0000 0.6311 1.4323 29 8.452 7.000 0.0012 0.7204 0.0000 0.6662 1.3879 31 9.282 7.500 0.0012 0.6349 0.0000 0.6872 1.3234 34 10.076 8.000 0.0012 0.5518 0.0000 0.7013 1.2543 Backscattering Coefficients of Individual Components at 610.0 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 0.00061 0.00172 0.00000 0.00200 0.00433 3 0.358 0.500 0.00061 0.00187 0.00000 0.00210 0.00458 5 0.737 1.000 0.00061 0.00209 0.00000 0.00220 0.00490 7 1.144 1.500 0.00061 0.00239 0.00000 0.00230 0.00530 9 1.588 2.000 0.00061 0.00276 0.00000 0.00240 0.00577 11 2.076 2.500 0.00061 0.00317 0.00000 0.00280 0.00658 13 2.615 3.000 0.00061 0.00360 0.00000 0.00320 0.00741 15 3.205 3.500 0.00061 0.00400 0.00000 0.00360 0.00821 17 3.838 4.000 0.00061 0.00432 0.00000 0.00400 0.00893 19 4.509 4.500 0.00061 0.00453 0.00000 0.00459 0.00974 21 5.205 5.000 0.00061 0.00461 0.00000 0.00519 0.01041 23 5.931 5.500 0.00061 0.00453 0.00000 0.00799 0.01314 25 6.732 6.000 0.00061 0.00432 0.00000 0.01518 0.02012 27 7.594 6.500 0.00061 0.00400 0.00000 0.01798 0.02259 29 8.452 7.000 0.00061 0.00360 0.00000 0.01898 0.02319 31 9.282 7.500 0.00061 0.00317 0.00000 0.01958 0.02336 34 10.076 8.000 0.00061 0.00276 0.00000 0.01998 0.02335 Summary of Inherent Optical Properties at 610.0 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 0.2860 0.4146 0.7006 0.5917 0.00433 0.01043 3 0.358 0.500 0.2862 0.4484 0.7346 0.6103 0.00458 0.01021 5 0.737 1.000 0.2870 0.4965 0.7835 0.6337 0.00490 0.00987 7 1.144 1.500 0.2884 0.5600 0.8483 0.6601 0.00530 0.00946 9 1.588 2.000 0.2903 0.6372 0.9275 0.6870 0.00577 0.00905 11 2.076 2.500 0.2929 0.7343 1.0272 0.7149 0.00658 0.00896 13 2.615 3.000 0.2956 0.8339 1.1294 0.7383 0.00741 0.00889 15 3.205 3.500 0.2981 0.9274 1.2255 0.7567 0.00821 0.00885 17 3.838 4.000 0.3002 1.0061 1.3064 0.7702 0.00893 0.00888 19 4.509 4.500 0.3018 1.0695 1.3712 0.7799 0.00974 0.00911 21 5.205 5.000 0.3024 1.1052 1.4076 0.7852 0.01041 0.00942 23 5.931 5.500 0.3036 1.1887 1.4923 0.7965 0.01314 0.01105 25 6.732 6.000 0.3073 1.3988 1.7061 0.8199 0.02012 0.01438 27 7.594 6.500 0.3069 1.4323 1.7392 0.8235 0.02259 0.01577 29 8.452 7.000 0.3047 1.3879 1.6925 0.8200 0.02319 0.01671 31 9.282 7.500 0.3020 1.3234 1.6254 0.8142 0.02336 0.01765 34 10.076 8.000 0.2993 1.2543 1.5536 0.8074 0.02335 0.01861 The bottom reflectance at wavelength 610.0 nm is R = 0.095 Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 610.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.4734E-01 1.6925E+00 1.8398E+00 4.6798E-02 1.0765E+00 0.3176 0.6360 0.5597 4.3474E-02 1 0.00 0.00 1.8527E-02 1.2267E+00 1.2453E+00 7.6723E-03 1.0372E+00 0.4141 0.8455 0.8268 7.3971E-03 3 0.36 0.50 1.7146E-02 1.0401E+00 1.0572E+00 7.0829E-03 8.7263E-01 0.4131 0.8390 0.8187 8.1167E-03 5 0.74 1.00 1.5932E-02 8.7918E-01 8.9511E-01 6.5787E-03 7.3287E-01 0.4129 0.8336 0.8114 8.9766E-03 7 1.14 1.50 1.4886E-02 7.4133E-01 7.5622E-01 6.1506E-03 6.1422E-01 0.4132 0.8285 0.8041 1.0014E-02 9 1.59 2.00 1.4024E-02 6.2356E-01 6.3758E-01 5.7961E-03 5.1353E-01 0.4133 0.8236 0.7963 1.1287E-02 11 2.08 2.50 1.3278E-02 5.2319E-01 5.3647E-01 5.4771E-03 4.2804E-01 0.4125 0.8181 0.7877 1.2796E-02 13 2.62 3.00 1.2475E-02 4.3769E-01 4.5016E-01 5.1571E-03 3.5552E-01 0.4134 0.8123 0.7783 1.4506E-02 15 3.20 3.50 1.1662E-02 3.6490E-01 3.7656E-01 4.8600E-03 2.9418E-01 0.4167 0.8062 0.7683 1.6520E-02 17 3.84 4.00 1.0931E-02 3.0311E-01 3.1404E-01 4.6201E-03 2.4256E-01 0.4227 0.8002 0.7577 1.9047E-02 19 4.51 4.50 1.0384E-02 2.5093E-01 2.6132E-01 4.4675E-03 1.9934E-01 0.4302 0.7944 0.7457 2.2411E-02 21 5.20 5.00 1.0175E-02 2.0711E-01 2.1728E-01 4.4435E-03 1.6338E-01 0.4367 0.7889 0.7315 2.7197E-02 23 5.93 5.50 1.0389E-02 1.7069E-01 1.8108E-01 4.5128E-03 1.3345E-01 0.4344 0.7818 0.7121 3.3816E-02 25 6.73 6.00 1.0330E-02 1.4049E-01 1.5082E-01 4.4268E-03 1.0815E-01 0.4285 0.7698 0.6878 4.0931E-02 27 7.59 6.50 9.5315E-03 1.1467E-01 1.2420E-01 4.1619E-03 8.6892E-02 0.4366 0.7578 0.6661 4.7897E-02 29 8.45 7.00 8.7662E-03 9.2855E-02 1.0162E-01 3.9785E-03 6.9557E-02 0.4538 0.7491 0.6453 5.7198E-02 31 9.28 7.50 8.3708E-03 7.4892E-02 8.3263E-02 3.9803E-03 5.5640E-02 0.4755 0.7429 0.6204 7.1537E-02 34 10.08 8.00 8.4402E-03 6.0324E-02 6.8765E-02 4.2201E-03 4.4540E-02 0.5000 0.7383 0.5863 9.4750E-02 K-functions (units of 1/meter) at 610.0 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 0.050 0.025 0.15806 0.32717 0.32465 0.16502 0.34406 0.34540 0.16679 0.500 0.550 0.525 0.15119 0.33365 0.33068 0.15341 0.34744 0.34903 0.15193 1.000 1.050 1.025 0.14123 0.33889 0.33535 0.14067 0.35122 0.35314 0.13708 1.500 1.550 1.525 0.12787 0.34373 0.33946 0.12665 0.35573 0.35807 0.12186 2.000 2.050 2.025 0.10208 0.34874 0.34328 0.10857 0.36109 0.36400 0.10574 2.500 2.550 2.525 0.11845 0.35401 0.34814 0.11826 0.36798 0.37124 0.10326 3.000 3.050 3.025 0.13197 0.36057 0.35420 0.12150 0.37540 0.37916 0.09328 3.500 3.550 3.525 0.13554 0.36776 0.36053 0.11240 0.38280 0.38737 0.07374 4.000 4.050 4.025 0.11559 0.37490 0.36582 0.08373 0.38957 0.39556 0.04420 4.500 4.550 4.525 0.07460 0.38122 0.36894 0.04184 0.39569 0.40387 0.01178 5.000 5.050 5.025 -0.04058 0.38612 0.36593 -0.03204 0.40045 0.41268 -0.02483 5.500 5.550 5.525 -0.07753 0.38793 0.36093 -0.03124 0.41038 0.42602 -0.01583 6.000 6.050 6.025 0.14088 0.39676 0.37913 0.12065 0.43264 0.44607 0.04734 6.500 6.550 6.525 0.18753 0.41634 0.39868 0.12175 0.44337 0.45969 0.01479 7.000 7.050 7.025 0.13784 0.42744 0.40229 0.04635 0.44647 0.47100 -0.04849 7.500 7.550 7.525 0.03088 0.43203 0.39134 -0.06202 0.44608 0.48577 -0.11028 7.950 8.000 7.975 0.01590 0.43410 0.38324 -0.16831 0.44404 0.50707 -0.15675 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 610.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 9.75233E-02 1.04608E-03 2.24256E-03 3.28864E-03 9.71775E-04 0.022995 9 1 10.0 0.0 180.0 8.41437E-02 1.07085E-03 1.75751E-03 2.82836E-03 9.94788E-04 0.020887 9 4 10.0 45.0 135.0 8.66894E-02 1.06275E-03 1.82395E-03 2.88669E-03 9.87259E-04 0.021040 9 7 10.0 90.0 90.0 9.55640E-02 1.05037E-03 2.12622E-03 3.17659E-03 9.75761E-04 0.022249 8 1 20.0 0.0 180.0 7.76560E-02 1.07913E-03 1.61520E-03 2.69433E-03 1.00248E-03 0.020799 8 4 20.0 45.0 135.0 8.04847E-02 1.06416E-03 1.68400E-03 2.74816E-03 9.88570E-04 0.020923 8 7 20.0 90.0 90.0 9.21201E-02 1.05092E-03 1.98415E-03 3.03507E-03 9.76274E-04 0.021539 7 1 30.0 0.0 180.0 7.31636E-02 1.09702E-03 1.60011E-03 2.69713E-03 1.01910E-03 0.021870 7 4 30.0 45.0 135.0 7.57779E-02 1.08449E-03 1.66050E-03 2.74499E-03 1.00746E-03 0.021913 7 7 30.0 90.0 90.0 8.78240E-02 1.06163E-03 1.95507E-03 3.01670E-03 9.86220E-04 0.022261 6 1 40.0 0.0 180.0 7.04765E-02 1.09909E-03 1.80181E-03 2.90090E-03 1.02102E-03 0.025566 6 4 40.0 45.0 135.0 7.25598E-02 1.08461E-03 1.85167E-03 2.93628E-03 1.00757E-03 0.025519 6 7 40.0 90.0 90.0 8.37289E-02 1.06029E-03 2.15155E-03 3.21184E-03 9.84978E-04 0.025697 5 1 50.0 0.0 180.0 7.00969E-02 1.11313E-03 2.57081E-03 3.68394E-03 1.03407E-03 0.036675 5 4 50.0 45.0 135.0 7.11886E-02 1.08668E-03 2.58958E-03 3.67626E-03 1.00949E-03 0.036376 5 7 50.0 90.0 90.0 8.10528E-02 1.06577E-03 2.92941E-03 3.99518E-03 9.90068E-04 0.036142 4 1 60.0 0.0 180.0 7.35814E-02 1.09255E-03 5.14493E-03 6.23748E-03 1.01495E-03 0.069922 4 4 60.0 45.0 135.0 7.30005E-02 1.06394E-03 4.99726E-03 6.06120E-03 9.88366E-04 0.068455 4 7 60.0 90.0 90.0 8.06880E-02 1.05597E-03 5.40856E-03 6.46453E-03 9.80962E-04 0.067030 3 1 70.0 0.0 180.0 8.49627E-02 1.00693E-03 1.31868E-02 1.41937E-02 9.35404E-04 0.155207 3 4 70.0 45.0 135.0 8.13771E-02 9.90356E-04 1.24792E-02 1.34695E-02 9.20010E-04 0.153350 3 7 70.0 90.0 90.0 8.53804E-02 9.89342E-04 1.29320E-02 1.39213E-02 9.19068E-04 0.151463 2 1 80.0 0.0 180.0 1.16667E-01 8.45526E-04 3.28678E-02 3.37133E-02 7.85467E-04 0.281724 2 4 80.0 45.0 135.0 1.06797E-01 8.31121E-04 3.11419E-02 3.19730E-02 7.72085E-04 0.291599 2 7 80.0 90.0 90.0 1.03156E-01 8.33857E-04 3.12661E-02 3.21000E-02 7.74627E-04 0.303097 1 1 87.5 0.0 180.0 1.65460E-01 6.60201E-04 5.90005E-02 5.96607E-02 6.13306E-04 0.356585 1 4 87.5 45.0 135.0 1.46606E-01 6.18377E-04 5.73138E-02 5.79322E-02 5.74453E-04 0.390939 1 7 87.5 90.0 90.0 1.30986E-01 6.83568E-04 5.60820E-02 5.67655E-02 6.35013E-04 0.428153 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 610.0 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 3.289E-03 9.752E-02 1.126E-01 9.388E-02 1.690E-01 3.055E-03 1.423E+01 1.046E-03 9.718E-04 1 0.00 0.00 1.935E-03 1.739E-01 3.789E-03 4.496E-03 8.054E-03 1.866E-03 3.964E+00 3 0.36 0.50 1.787E-03 1.578E-01 3.271E-03 4.237E-03 8.614E-03 2.047E-03 3.964E+00 5 0.74 1.00 1.661E-03 1.431E-01 3.021E-03 3.971E-03 8.230E-03 2.267E-03 3.960E+00 7 1.14 1.50 1.557E-03 1.298E-01 2.791E-03 3.713E-03 7.786E-03 2.534E-03 3.951E+00 9 1.59 2.00 1.470E-03 1.177E-01 2.588E-03 3.478E-03 7.353E-03 2.863E-03 3.943E+00 11 2.08 2.50 1.395E-03 1.066E-01 2.453E-03 3.327E-03 7.065E-03 3.259E-03 3.927E+00 13 2.62 3.00 1.327E-03 9.659E-02 2.306E-03 3.153E-03 6.704E-03 3.733E-03 3.886E+00 15 3.20 3.50 1.272E-03 8.727E-02 2.138E-03 2.943E-03 6.243E-03 4.323E-03 3.821E+00 17 3.84 4.00 1.234E-03 7.851E-02 1.957E-03 2.705E-03 5.703E-03 5.086E-03 3.745E+00 19 4.51 4.50 1.215E-03 7.025E-02 1.790E-03 2.477E-03 5.158E-03 6.096E-03 3.676E+00 21 5.20 5.00 1.219E-03 6.245E-02 1.646E-03 2.272E-03 4.634E-03 7.458E-03 3.647E+00 23 5.93 5.50 1.232E-03 5.515E-02 1.658E-03 2.272E-03 4.487E-03 9.230E-03 3.664E+00 25 6.73 6.00 1.221E-03 4.833E-02 1.813E-03 2.461E-03 4.673E-03 1.129E-02 3.625E+00 27 7.59 6.50 1.200E-03 4.184E-02 1.724E-03 2.314E-03 4.219E-03 1.381E-02 3.467E+00 29 8.45 7.00 1.209E-03 3.577E-02 1.522E-03 2.023E-03 3.547E-03 1.738E-02 3.292E+00 31 9.28 7.50 1.256E-03 3.027E-02 1.341E-03 1.741E-03 2.903E-03 2.257E-02 3.169E+00 34 10.08 8.00 1.343E-03 2.543E-02 1.311E-03 1.475E-03 1.952E-03 3.016E-02 3.142E+00 Waveband 13 of 20 completed in 3.6 sec. * * * * * Output for wavelength band 14 (620.0 to 640.0 nm; nominal wavelength = 630.0 nm) * * * * * Index of refraction at this wavelength is 1.337 RADTRANX clear-sky spectral irradiances averaged over the band from 620.0 nm to 640.0 nm: Ed(diffuse) = 2.813E-01 Ed(direct) = 7.820E-01 Ed(total) = 1.063E+00 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 3.812E-01 Ed(direct) = 6.689E-01 Ed(total) = 1.050E+00 Absorption Coefficients of Individual Components at 630.0 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 0.2916 0.0135 0.0070 0.0014 0.3135 3 0.366 0.500 0.2916 0.0147 0.0063 0.0014 0.3141 5 0.753 1.000 0.2916 0.0166 0.0057 0.0015 0.3154 7 1.167 1.500 0.2916 0.0191 0.0052 0.0016 0.3175 9 1.618 2.000 0.2916 0.0222 0.0047 0.0016 0.3201 11 2.112 2.500 0.2916 0.0257 0.0042 0.0019 0.3235 13 2.656 3.000 0.2916 0.0293 0.0038 0.0022 0.3270 15 3.250 3.500 0.2916 0.0327 0.0035 0.0025 0.3303 17 3.887 4.000 0.2916 0.0355 0.0031 0.0027 0.3330 19 4.560 4.500 0.2916 0.0374 0.0028 0.0032 0.3350 21 5.258 5.000 0.2916 0.0380 0.0026 0.0036 0.3357 23 5.985 5.500 0.2916 0.0374 0.0023 0.0055 0.3368 25 6.783 6.000 0.2916 0.0355 0.0021 0.0104 0.3397 27 7.639 6.500 0.2916 0.0327 0.0019 0.0124 0.3386 29 8.491 7.000 0.2916 0.0293 0.0017 0.0131 0.3357 31 9.313 7.500 0.2916 0.0257 0.0016 0.0135 0.3323 34 10.101 8.000 0.2916 0.0222 0.0014 0.0137 0.3289 Scattering Coefficients of Individual Components at 630.0 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 0.3350 0.0000 0.0672 0.4033 3 0.366 0.500 0.0011 0.3646 0.0000 0.0706 0.4362 5 0.753 1.000 0.0011 0.4081 0.0000 0.0739 0.4831 7 1.167 1.500 0.0011 0.4666 0.0000 0.0773 0.5450 9 1.618 2.000 0.0011 0.5386 0.0000 0.0807 0.6203 11 2.112 2.500 0.0011 0.6197 0.0000 0.0941 0.7149 13 2.656 3.000 0.0011 0.7032 0.0000 0.1076 0.8118 15 3.250 3.500 0.0011 0.7807 0.0000 0.1210 0.9028 17 3.887 4.000 0.0011 0.8439 0.0000 0.1345 0.9794 19 4.560 4.500 0.0011 0.8852 0.0000 0.1546 1.0409 21 5.258 5.000 0.0011 0.8996 0.0000 0.1748 1.0754 23 5.985 5.500 0.0011 0.8852 0.0000 0.2689 1.1552 25 6.783 6.000 0.0011 0.8439 0.0000 0.5109 1.3559 27 7.639 6.500 0.0011 0.7807 0.0000 0.6050 1.3868 29 8.491 7.000 0.0011 0.7032 0.0000 0.6386 1.3429 31 9.313 7.500 0.0011 0.6197 0.0000 0.6588 1.2796 34 10.101 8.000 0.0011 0.5386 0.0000 0.6723 1.2119 Backscattering Coefficients of Individual Components at 630.0 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 0.00053 0.00168 0.00000 0.00188 0.00409 3 0.366 0.500 0.00053 0.00182 0.00000 0.00198 0.00433 5 0.753 1.000 0.00053 0.00204 0.00000 0.00207 0.00465 7 1.167 1.500 0.00053 0.00233 0.00000 0.00217 0.00503 9 1.618 2.000 0.00053 0.00269 0.00000 0.00226 0.00549 11 2.112 2.500 0.00053 0.00310 0.00000 0.00264 0.00627 13 2.656 3.000 0.00053 0.00352 0.00000 0.00302 0.00706 15 3.250 3.500 0.00053 0.00390 0.00000 0.00339 0.00783 17 3.887 4.000 0.00053 0.00422 0.00000 0.00377 0.00852 19 4.560 4.500 0.00053 0.00443 0.00000 0.00433 0.00929 21 5.258 5.000 0.00053 0.00450 0.00000 0.00490 0.00993 23 5.985 5.500 0.00053 0.00443 0.00000 0.00754 0.01250 25 6.783 6.000 0.00053 0.00422 0.00000 0.01432 0.01907 27 7.639 6.500 0.00053 0.00390 0.00000 0.01696 0.02140 29 8.491 7.000 0.00053 0.00352 0.00000 0.01790 0.02195 31 9.313 7.500 0.00053 0.00310 0.00000 0.01847 0.02210 34 10.101 8.000 0.00053 0.00269 0.00000 0.01884 0.02207 Summary of Inherent Optical Properties at 630.0 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 0.3135 0.4033 0.7168 0.5627 0.00409 0.01015 3 0.366 0.500 0.3141 0.4362 0.7503 0.5814 0.00433 0.00993 5 0.753 1.000 0.3154 0.4831 0.7985 0.6050 0.00465 0.00962 7 1.167 1.500 0.3175 0.5450 0.8624 0.6319 0.00503 0.00923 9 1.618 2.000 0.3201 0.6203 0.9405 0.6596 0.00549 0.00884 11 2.112 2.500 0.3235 0.7149 1.0383 0.6885 0.00627 0.00877 13 2.656 3.000 0.3270 0.8118 1.1388 0.7129 0.00706 0.00870 15 3.250 3.500 0.3303 0.9028 1.2331 0.7321 0.00783 0.00867 17 3.887 4.000 0.3330 0.9794 1.3124 0.7463 0.00852 0.00870 19 4.560 4.500 0.3350 1.0409 1.3758 0.7565 0.00929 0.00893 21 5.258 5.000 0.3357 1.0754 1.4112 0.7621 0.00993 0.00923 23 5.985 5.500 0.3368 1.1552 1.4920 0.7743 0.01250 0.01082 25 6.783 6.000 0.3397 1.3559 1.6956 0.7997 0.01907 0.01407 27 7.639 6.500 0.3386 1.3868 1.7255 0.8038 0.02140 0.01543 29 8.491 7.000 0.3357 1.3429 1.6786 0.8000 0.02195 0.01635 31 9.313 7.500 0.3323 1.2796 1.6119 0.7938 0.02210 0.01727 34 10.101 8.000 0.3289 1.2119 1.5409 0.7865 0.02207 0.01821 The bottom reflectance at wavelength 630.0 nm is R = 0.089 Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 630.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.4229E-01 1.6509E+00 1.7932E+00 4.4895E-02 1.0500E+00 0.3155 0.6360 0.5605 4.2757E-02 1 0.00 0.00 1.5206E-02 1.1949E+00 1.2101E+00 6.2076E-03 1.0112E+00 0.4082 0.8463 0.8305 6.1388E-03 3 0.37 0.50 1.3827E-02 9.9636E-01 1.0102E+00 5.6278E-03 8.3719E-01 0.4070 0.8402 0.8232 6.7222E-03 5 0.75 1.00 1.2617E-02 8.2808E-01 8.4070E-01 5.1320E-03 6.9169E-01 0.4068 0.8353 0.8167 7.4194E-03 7 1.17 1.50 1.1574E-02 6.8627E-01 6.9784E-01 4.7101E-03 5.7013E-01 0.4070 0.8308 0.8102 8.2615E-03 9 1.62 2.00 1.0705E-02 5.6711E-01 5.7782E-01 4.3582E-03 4.6860E-01 0.4071 0.8263 0.8034 9.3006E-03 11 2.11 2.50 9.9545E-03 4.6727E-01 4.7722E-01 4.0432E-03 3.8382E-01 0.4062 0.8214 0.7958 1.0534E-02 13 2.66 3.00 9.1728E-03 3.8368E-01 3.9285E-01 3.7335E-03 3.1313E-01 0.4070 0.8161 0.7876 1.1923E-02 15 3.25 3.50 8.4027E-03 3.1382E-01 3.2222E-01 3.4491E-03 2.5440E-01 0.4105 0.8107 0.7788 1.3558E-02 17 3.89 4.00 7.7163E-03 2.5566E-01 2.6337E-01 3.2171E-03 2.0588E-01 0.4169 0.8053 0.7695 1.5626E-02 19 4.56 4.50 7.1889E-03 2.0752E-01 2.1471E-01 3.0598E-03 1.6603E-01 0.4256 0.8001 0.7590 1.8429E-02 21 5.26 5.00 6.9378E-03 1.6792E-01 1.7485E-01 3.0094E-03 1.3352E-01 0.4338 0.7951 0.7464 2.2539E-02 23 5.99 5.50 7.0296E-03 1.3568E-01 1.4271E-01 3.0402E-03 1.0702E-01 0.4325 0.7888 0.7286 2.8408E-02 25 6.78 6.00 6.9495E-03 1.0952E-01 1.1647E-01 2.9689E-03 8.5164E-02 0.4272 0.7776 0.7057 3.4861E-02 27 7.64 6.50 6.3591E-03 8.7731E-02 9.4090E-02 2.7796E-03 6.7234E-02 0.4371 0.7664 0.6850 4.1343E-02 29 8.49 7.00 5.8344E-03 6.9797E-02 7.5631E-02 2.6647E-03 5.2918E-02 0.4567 0.7582 0.6644 5.0355E-02 31 9.31 7.50 5.6210E-03 5.5342E-02 6.0964E-02 2.7004E-03 4.1642E-02 0.4804 0.7524 0.6388 6.4848E-02 34 10.10 8.00 5.8723E-03 4.3863E-02 4.9736E-02 2.9361E-03 3.2810E-02 0.5000 0.7480 0.6007 8.9490E-02 K-functions (units of 1/meter) at 630.0 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 0.050 0.025 0.19222 0.35989 0.35778 0.20086 0.37595 0.37703 0.20417 0.500 0.550 0.525 0.18714 0.36726 0.36478 0.18999 0.37989 0.38118 0.18934 1.000 1.050 1.025 0.17783 0.37316 0.37021 0.17760 0.38428 0.38583 0.17433 1.500 1.550 1.525 0.16529 0.37876 0.37520 0.16367 0.38951 0.39140 0.15858 2.000 2.050 2.025 0.13813 0.38464 0.38005 0.14450 0.39569 0.39806 0.14128 2.500 2.550 2.525 0.15597 0.39089 0.38596 0.15637 0.40341 0.40606 0.13947 3.000 3.050 3.025 0.17171 0.39838 0.39306 0.16117 0.41168 0.41472 0.12851 3.500 3.550 3.525 0.17669 0.40639 0.40036 0.15178 0.41984 0.42355 0.10543 4.000 4.050 4.025 0.15513 0.41416 0.40652 0.11924 0.42721 0.43214 0.06933 4.500 4.550 4.525 0.11588 0.42090 0.41061 0.07072 0.43366 0.44053 0.02853 5.000 5.050 5.025 -0.01453 0.42578 0.40813 -0.01765 0.43844 0.44908 -0.01830 5.500 5.550 5.525 -0.07038 0.42729 0.40248 -0.02551 0.44767 0.46167 -0.01405 6.000 6.050 6.025 0.15997 0.43482 0.41831 0.13303 0.46819 0.48040 0.04949 6.500 6.550 6.525 0.19764 0.45107 0.43384 0.12358 0.47763 0.49304 0.00740 7.000 7.050 7.025 0.13117 0.46219 0.43646 0.03029 0.47974 0.50385 -0.06643 7.500 7.550 7.525 -0.00555 0.46533 0.42145 -0.10020 0.47829 0.51903 -0.13599 7.950 8.000 7.975 -0.13721 0.46449 0.39438 -0.23437 0.47508 0.54347 -0.18594 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 630.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 9.51259E-02 8.30356E-04 2.17422E-03 3.00458E-03 7.90816E-04 0.022856 9 1 10.0 0.0 180.0 8.20752E-02 8.51766E-04 1.70395E-03 2.55572E-03 8.11206E-04 0.020761 9 4 10.0 45.0 135.0 8.45584E-02 8.45008E-04 1.76836E-03 2.61337E-03 8.04770E-04 0.020913 9 7 10.0 90.0 90.0 9.32148E-02 8.34204E-04 2.06143E-03 2.89563E-03 7.94480E-04 0.022115 8 1 20.0 0.0 180.0 7.57470E-02 8.59718E-04 1.56603E-03 2.42575E-03 8.18780E-04 0.020674 8 4 20.0 45.0 135.0 7.85062E-02 8.47216E-04 1.63273E-03 2.47995E-03 8.06873E-04 0.020797 8 7 20.0 90.0 90.0 8.98555E-02 8.35264E-04 1.92375E-03 2.75902E-03 7.95490E-04 0.021409 7 1 30.0 0.0 180.0 7.13650E-02 8.75709E-04 1.55160E-03 2.42731E-03 8.34009E-04 0.021742 7 4 30.0 45.0 135.0 7.39150E-02 8.64668E-04 1.61016E-03 2.47483E-03 8.23494E-04 0.021784 7 7 30.0 90.0 90.0 8.56651E-02 8.44504E-04 1.89579E-03 2.74030E-03 8.04290E-04 0.022130 6 1 40.0 0.0 180.0 6.87440E-02 8.79684E-04 1.74789E-03 2.62757E-03 8.37795E-04 0.025426 6 4 40.0 45.0 135.0 7.07761E-02 8.67082E-04 1.79623E-03 2.66331E-03 8.25792E-04 0.025379 6 7 40.0 90.0 90.0 8.16706E-02 8.45508E-04 2.08712E-03 2.93263E-03 8.05246E-04 0.025555 5 1 50.0 0.0 180.0 6.83737E-02 8.93272E-04 2.49605E-03 3.38932E-03 8.50736E-04 0.036506 5 4 50.0 45.0 135.0 6.94386E-02 8.70691E-04 2.51423E-03 3.38493E-03 8.29230E-04 0.036208 5 7 50.0 90.0 90.0 7.90603E-02 8.51538E-04 2.84410E-03 3.69564E-03 8.10989E-04 0.035974 4 1 60.0 0.0 180.0 7.17725E-02 8.79192E-04 5.00179E-03 5.88098E-03 8.37326E-04 0.069689 4 4 60.0 45.0 135.0 7.12060E-02 8.54640E-04 4.85806E-03 5.71270E-03 8.13943E-04 0.068225 4 7 60.0 90.0 90.0 7.87045E-02 8.46193E-04 5.25765E-03 6.10385E-03 8.05899E-04 0.066802 3 1 70.0 0.0 180.0 8.28740E-02 8.12207E-04 1.28355E-02 1.36477E-02 7.73531E-04 0.154880 3 4 70.0 45.0 135.0 7.93767E-02 7.97681E-04 1.21464E-02 1.29441E-02 7.59696E-04 0.153023 3 7 70.0 90.0 90.0 8.32815E-02 7.95107E-04 1.25866E-02 1.33817E-02 7.57245E-04 0.151133 2 1 80.0 0.0 180.0 1.13799E-01 6.83736E-04 3.20202E-02 3.27039E-02 6.51177E-04 0.281376 2 4 80.0 45.0 135.0 1.04172E-01 6.71392E-04 3.03386E-02 3.10100E-02 6.39422E-04 0.291236 2 7 80.0 90.0 90.0 1.00620E-01 6.72246E-04 3.04588E-02 3.11310E-02 6.40235E-04 0.302712 1 1 87.5 0.0 180.0 1.61392E-01 5.35219E-04 5.75065E-02 5.80417E-02 5.09733E-04 0.356315 1 4 87.5 45.0 135.0 1.43002E-01 5.01284E-04 5.58628E-02 5.63641E-02 4.77414E-04 0.390644 1 7 87.5 90.0 90.0 1.27766E-01 5.53501E-04 5.46614E-02 5.52149E-02 5.27144E-04 0.427824 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 630.0 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 3.005E-03 9.513E-02 1.097E-01 9.149E-02 1.647E-01 2.862E-03 1.494E+01 8.304E-04 7.908E-04 1 0.00 0.00 1.533E-03 1.693E-01 3.175E-03 3.777E-03 6.885E-03 1.516E-03 4.048E+00 3 0.37 0.50 1.389E-03 1.513E-01 2.703E-03 3.530E-03 7.290E-03 1.659E-03 4.051E+00 5 0.75 1.00 1.268E-03 1.351E-01 2.455E-03 3.252E-03 6.833E-03 1.833E-03 4.047E+00 7 1.17 1.50 1.166E-03 1.206E-01 2.229E-03 2.985E-03 6.343E-03 2.046E-03 4.039E+00 9 1.62 2.00 1.082E-03 1.075E-01 2.030E-03 2.745E-03 5.877E-03 2.308E-03 4.029E+00 11 2.11 2.50 1.008E-03 9.582E-02 1.892E-03 2.580E-03 5.543E-03 2.626E-03 4.011E+00 13 2.66 3.00 9.420E-04 8.531E-02 1.746E-03 2.400E-03 5.160E-03 3.008E-03 3.963E+00 15 3.25 3.50 8.875E-04 7.574E-02 1.587E-03 2.195E-03 4.711E-03 3.489E-03 3.886E+00 17 3.89 4.00 8.485E-04 6.694E-02 1.424E-03 1.977E-03 4.214E-03 4.121E-03 3.792E+00 19 4.56 4.50 8.267E-04 5.884E-02 1.273E-03 1.772E-03 3.732E-03 4.979E-03 3.701E+00 21 5.26 5.00 8.240E-04 5.139E-02 1.145E-03 1.588E-03 3.278E-03 6.172E-03 3.652E+00 23 5.99 5.50 8.311E-04 4.460E-02 1.136E-03 1.564E-03 3.125E-03 7.766E-03 3.658E+00 25 6.78 6.00 8.230E-04 3.843E-02 1.228E-03 1.681E-03 3.231E-03 9.663E-03 3.608E+00 27 7.64 6.50 8.097E-04 3.274E-02 1.140E-03 1.545E-03 2.866E-03 1.204E-02 3.433E+00 29 8.49 7.00 8.203E-04 2.757E-02 1.003E-03 1.339E-03 2.378E-03 1.550E-02 3.248E+00 31 9.31 7.50 8.619E-04 2.300E-02 8.724E-04 1.137E-03 1.919E-03 2.070E-02 3.133E+00 34 10.10 8.00 9.346E-04 1.906E-02 8.834E-04 9.917E-04 1.311E-03 2.849E-02 3.142E+00 Waveband 14 of 20 completed in 4.0 sec. * * * * * Output for wavelength band 15 (640.0 to 660.0 nm; nominal wavelength = 650.0 nm) * * * * * Index of refraction at this wavelength is 1.337 RADTRANX clear-sky spectral irradiances averaged over the band from 640.0 nm to 660.0 nm: Ed(diffuse) = 2.582E-01 Ed(direct) = 7.465E-01 Ed(total) = 1.005E+00 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 3.602E-01 Ed(direct) = 6.320E-01 Ed(total) = 9.922E-01 Absorption Coefficients of Individual Components at 650.0 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 0.3400 0.0152 0.0053 0.0013 0.3618 3 0.385 0.500 0.3400 0.0166 0.0048 0.0014 0.3628 5 0.789 1.000 0.3400 0.0187 0.0043 0.0014 0.3645 7 1.221 1.500 0.3400 0.0216 0.0039 0.0015 0.3670 9 1.688 2.000 0.3400 0.0250 0.0035 0.0016 0.3702 11 2.199 2.500 0.3400 0.0290 0.0032 0.0018 0.3740 13 2.758 3.000 0.3400 0.0331 0.0029 0.0021 0.3781 15 3.365 3.500 0.3400 0.0370 0.0026 0.0023 0.3819 17 4.016 4.000 0.3400 0.0401 0.0024 0.0026 0.3851 19 4.701 4.500 0.3400 0.0422 0.0021 0.0030 0.3873 21 5.410 5.000 0.3400 0.0429 0.0019 0.0034 0.3882 23 6.147 5.500 0.3400 0.0422 0.0018 0.0052 0.3891 25 6.952 6.000 0.3400 0.0401 0.0016 0.0099 0.3916 27 7.811 6.500 0.3400 0.0370 0.0014 0.0117 0.3901 29 8.665 7.000 0.3400 0.0331 0.0013 0.0123 0.3868 31 9.490 7.500 0.3400 0.0290 0.0012 0.0127 0.3829 34 10.281 8.000 0.3400 0.0250 0.0011 0.0130 0.3791 Scattering Coefficients of Individual Components at 650.0 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 0.3268 0.0000 0.0642 0.3919 3 0.385 0.500 0.0009 0.3556 0.0000 0.0674 0.4239 5 0.789 1.000 0.0009 0.3980 0.0000 0.0706 0.4696 7 1.221 1.500 0.0009 0.4551 0.0000 0.0738 0.5299 9 1.688 2.000 0.0009 0.5254 0.0000 0.0770 0.6033 11 2.199 2.500 0.0009 0.6045 0.0000 0.0899 0.6953 13 2.758 3.000 0.0009 0.6859 0.0000 0.1027 0.7895 15 3.365 3.500 0.0009 0.7615 0.0000 0.1156 0.8780 17 4.016 4.000 0.0009 0.8231 0.0000 0.1284 0.9525 19 4.701 4.500 0.0009 0.8634 0.0000 0.1477 1.0120 21 5.410 5.000 0.0009 0.8775 0.0000 0.1669 1.0453 23 6.147 5.500 0.0009 0.8634 0.0000 0.2568 1.1212 25 6.952 6.000 0.0009 0.8231 0.0000 0.4879 1.3120 27 7.811 6.500 0.0009 0.7615 0.0000 0.5778 1.3403 29 8.665 7.000 0.0009 0.6859 0.0000 0.6099 1.2967 31 9.490 7.500 0.0009 0.6045 0.0000 0.6292 1.2345 34 10.281 8.000 0.0009 0.5254 0.0000 0.6420 1.1683 Backscattering Coefficients of Individual Components at 650.0 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 0.00047 0.00163 0.00000 0.00177 0.00387 3 0.385 0.500 0.00047 0.00178 0.00000 0.00186 0.00410 5 0.789 1.000 0.00047 0.00199 0.00000 0.00195 0.00440 7 1.221 1.500 0.00047 0.00228 0.00000 0.00204 0.00478 9 1.688 2.000 0.00047 0.00263 0.00000 0.00213 0.00522 11 2.199 2.500 0.00047 0.00302 0.00000 0.00248 0.00597 13 2.758 3.000 0.00047 0.00343 0.00000 0.00283 0.00673 15 3.365 3.500 0.00047 0.00381 0.00000 0.00319 0.00746 17 4.016 4.000 0.00047 0.00412 0.00000 0.00354 0.00812 19 4.701 4.500 0.00047 0.00432 0.00000 0.00407 0.00886 21 5.410 5.000 0.00047 0.00439 0.00000 0.00461 0.00946 23 6.147 5.500 0.00047 0.00432 0.00000 0.00709 0.01187 25 6.952 6.000 0.00047 0.00412 0.00000 0.01346 0.01805 27 7.811 6.500 0.00047 0.00381 0.00000 0.01594 0.02022 29 8.665 7.000 0.00047 0.00343 0.00000 0.01683 0.02073 31 9.490 7.500 0.00047 0.00302 0.00000 0.01736 0.02085 34 10.281 8.000 0.00047 0.00263 0.00000 0.01772 0.02081 Summary of Inherent Optical Properties at 650.0 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 0.3618 0.3919 0.7537 0.5200 0.00387 0.00988 3 0.385 0.500 0.3628 0.4239 0.7867 0.5389 0.00410 0.00968 5 0.789 1.000 0.3645 0.4696 0.8341 0.5630 0.00440 0.00938 7 1.221 1.500 0.3670 0.5299 0.8969 0.5908 0.00478 0.00902 9 1.688 2.000 0.3702 0.6033 0.9735 0.6198 0.00522 0.00865 11 2.199 2.500 0.3740 0.6953 1.0693 0.6502 0.00597 0.00858 13 2.758 3.000 0.3781 0.7895 1.1676 0.6762 0.00673 0.00852 15 3.365 3.500 0.3819 0.8780 1.2600 0.6969 0.00746 0.00850 17 4.016 4.000 0.3851 0.9525 1.3376 0.7121 0.00812 0.00853 19 4.701 4.500 0.3873 1.0120 1.3993 0.7232 0.00886 0.00875 21 5.410 5.000 0.3882 1.0453 1.4335 0.7292 0.00946 0.00905 23 6.147 5.500 0.3891 1.1212 1.5103 0.7423 0.01187 0.01059 25 6.952 6.000 0.3916 1.3120 1.7036 0.7701 0.01805 0.01375 27 7.811 6.500 0.3901 1.3403 1.7304 0.7746 0.02022 0.01508 29 8.665 7.000 0.3868 1.2967 1.6835 0.7702 0.02073 0.01598 31 9.490 7.500 0.3829 1.2345 1.6175 0.7633 0.02085 0.01689 34 10.281 8.000 0.3791 1.1683 1.5474 0.7550 0.02081 0.01781 The bottom reflectance at wavelength 650.0 nm is R = 0.085 Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 650.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.3342E-01 1.5600E+00 1.6934E+00 4.1873E-02 9.9217E-01 0.3138 0.6360 0.5612 4.2204E-02 1 0.00 0.00 1.1532E-02 1.1268E+00 1.1383E+00 4.6424E-03 9.5484E-01 0.4026 0.8474 0.8347 4.8620E-03 3 0.38 0.50 1.0192E-02 9.1278E-01 9.2297E-01 4.0901E-03 7.6847E-01 0.4013 0.8419 0.8282 5.3223E-03 5 0.79 1.00 9.0397E-03 7.3674E-01 7.4578E-01 3.6252E-03 6.1709E-01 0.4010 0.8376 0.8226 5.8748E-03 7 1.22 1.50 8.0597E-03 5.9282E-01 6.0088E-01 3.2346E-03 4.9424E-01 0.4013 0.8337 0.8171 6.5446E-03 9 1.69 2.00 7.2516E-03 4.7554E-01 4.8279E-01 2.9109E-03 3.9464E-01 0.4014 0.8299 0.8114 7.3761E-03 11 2.20 2.50 6.5601E-03 3.8023E-01 3.8679E-01 2.6256E-03 3.1395E-01 0.4002 0.8257 0.8049 8.3631E-03 13 2.76 3.00 5.8714E-03 3.0289E-01 3.0876E-01 2.3529E-03 2.4870E-01 0.4007 0.8211 0.7979 9.4607E-03 15 3.37 3.50 5.2147E-03 2.4028E-01 2.4549E-01 2.1059E-03 1.9615E-01 0.4038 0.8163 0.7904 1.0736E-02 17 4.02 4.00 4.6367E-03 1.8982E-01 1.9446E-01 1.9022E-03 1.5407E-01 0.4103 0.8117 0.7825 1.2346E-02 19 4.70 4.50 4.1824E-03 1.4940E-01 1.5358E-01 1.7552E-03 1.2059E-01 0.4197 0.8071 0.7737 1.4556E-02 21 5.41 5.00 3.9228E-03 1.1721E-01 1.2114E-01 1.6847E-03 9.4111E-02 0.4295 0.8029 0.7630 1.7901E-02 23 6.15 5.50 3.8971E-03 9.1834E-02 9.5731E-02 1.6747E-03 7.3222E-02 0.4297 0.7973 0.7474 2.2872E-02 25 6.95 6.00 3.7917E-03 7.1891E-02 7.5683E-02 1.6126E-03 5.6586E-02 0.4253 0.7871 0.7264 2.8499E-02 27 7.81 6.50 3.4064E-03 5.5877E-02 5.9284E-02 1.4909E-03 4.3407E-02 0.4377 0.7768 0.7071 3.4346E-02 29 8.67 7.00 3.0963E-03 4.3160E-02 4.6256E-02 1.4281E-03 3.3211E-02 0.4612 0.7695 0.6871 4.3000E-02 31 9.49 7.50 3.0150E-03 3.3249E-02 3.6264E-02 1.4722E-03 2.5415E-02 0.4883 0.7644 0.6603 5.7926E-02 34 10.28 8.00 3.3292E-03 2.5626E-02 2.8955E-02 1.6646E-03 1.9483E-02 0.5000 0.7603 0.6154 8.5440E-02 K-functions (units of 1/meter) at 650.0 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 0.050 0.025 0.24877 0.41743 0.41571 0.25810 0.43231 0.43317 0.26294 0.500 0.550 0.525 0.24423 0.42559 0.42358 0.24703 0.43669 0.43771 0.24768 1.000 1.050 1.025 0.23359 0.43195 0.42953 0.23410 0.44149 0.44272 0.23235 1.500 1.550 1.525 0.22364 0.43800 0.43511 0.22002 0.44715 0.44866 0.21635 2.000 2.050 2.025 0.19086 0.44440 0.44056 0.19895 0.45382 0.45573 0.19843 2.500 2.550 2.525 0.21252 0.45126 0.44718 0.21462 0.46204 0.46414 0.19958 3.000 3.050 3.025 0.23203 0.45930 0.45495 0.22320 0.47079 0.47317 0.18992 3.500 3.550 3.525 0.24068 0.46778 0.46293 0.21627 0.47937 0.48224 0.16486 4.000 4.050 4.025 0.21921 0.47571 0.46956 0.18192 0.48703 0.49087 0.12184 4.500 4.550 4.525 0.18202 0.48264 0.47440 0.12715 0.49357 0.49903 0.06998 5.000 5.050 5.025 0.03149 0.48745 0.47252 0.01977 0.49824 0.50707 0.00744 5.500 5.550 5.525 -0.04332 0.48888 0.46694 -0.00110 0.50686 0.51890 0.00295 6.000 6.050 6.025 0.20310 0.49673 0.48192 0.16567 0.52607 0.53674 0.06521 6.500 6.550 6.525 0.23019 0.51178 0.49549 0.13918 0.53461 0.54882 0.00520 7.000 7.050 7.025 0.13170 0.52046 0.49420 0.01356 0.53590 0.55969 -0.08916 7.500 7.550 7.525 -0.05873 0.52228 0.47333 -0.15670 0.53363 0.57687 -0.17465 7.950 8.000 7.975 -0.38233 0.51794 0.41647 -0.34034 0.52927 0.60861 -0.23275 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 650.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 8.98869E-02 6.08646E-04 2.05447E-03 2.66312E-03 6.13449E-04 0.022856 9 1 10.0 0.0 180.0 7.75549E-02 6.25689E-04 1.61011E-03 2.23580E-03 6.30627E-04 0.020761 9 4 10.0 45.0 135.0 7.99013E-02 6.20416E-04 1.67097E-03 2.29139E-03 6.25311E-04 0.020913 9 7 10.0 90.0 90.0 8.80810E-02 6.11755E-04 1.94789E-03 2.55965E-03 6.16582E-04 0.022115 8 1 20.0 0.0 180.0 7.15752E-02 6.32764E-04 1.47978E-03 2.11254E-03 6.37757E-04 0.020674 8 4 20.0 45.0 135.0 7.41825E-02 6.23046E-04 1.54281E-03 2.16585E-03 6.27962E-04 0.020797 8 7 20.0 90.0 90.0 8.49067E-02 6.13083E-04 1.81780E-03 2.43088E-03 6.17921E-04 0.021409 7 1 30.0 0.0 180.0 6.74345E-02 6.45873E-04 1.46615E-03 2.11202E-03 6.50970E-04 0.021742 7 4 30.0 45.0 135.0 6.98441E-02 6.37018E-04 1.52148E-03 2.15850E-03 6.42045E-04 0.021784 7 7 30.0 90.0 90.0 8.09470E-02 6.20591E-04 1.79138E-03 2.41197E-03 6.25488E-04 0.022130 6 1 40.0 0.0 180.0 6.49579E-02 6.50805E-04 1.65162E-03 2.30243E-03 6.55941E-04 0.025426 6 4 40.0 45.0 135.0 6.68780E-02 6.40572E-04 1.69730E-03 2.33788E-03 6.45627E-04 0.025379 6 7 40.0 90.0 90.0 7.71726E-02 6.22680E-04 1.97217E-03 2.59485E-03 6.27594E-04 0.025555 5 1 50.0 0.0 180.0 6.46080E-02 6.62554E-04 2.35858E-03 3.02113E-03 6.67783E-04 0.036506 5 4 50.0 45.0 135.0 6.56142E-02 6.44804E-04 2.37576E-03 3.02057E-03 6.49893E-04 0.036208 5 7 50.0 90.0 90.0 7.47060E-02 6.28521E-04 2.68746E-03 3.31598E-03 6.33481E-04 0.035974 4 1 60.0 0.0 180.0 6.78196E-02 6.53792E-04 4.72631E-03 5.38011E-03 6.58951E-04 0.069689 4 4 60.0 45.0 135.0 6.72843E-02 6.34473E-04 4.59050E-03 5.22497E-03 6.39479E-04 0.068225 4 7 60.0 90.0 90.0 7.43698E-02 6.26052E-04 4.96809E-03 5.59414E-03 6.30993E-04 0.066802 3 1 70.0 0.0 180.0 7.83097E-02 6.05589E-04 1.21286E-02 1.27342E-02 6.10368E-04 0.154880 3 4 70.0 45.0 135.0 7.50050E-02 5.93767E-04 1.14775E-02 1.20712E-02 5.98452E-04 0.153023 3 7 70.0 90.0 90.0 7.86948E-02 5.89954E-04 1.18934E-02 1.24833E-02 5.94609E-04 0.151133 2 1 80.0 0.0 180.0 1.07531E-01 5.11015E-04 3.02567E-02 3.07677E-02 5.15048E-04 0.281376 2 4 80.0 45.0 135.0 9.84344E-02 5.00977E-04 2.86677E-02 2.91686E-02 5.04930E-04 0.291236 2 7 80.0 90.0 90.0 9.50780E-02 5.00108E-04 2.87812E-02 2.92813E-02 5.04055E-04 0.302712 1 1 87.5 0.0 180.0 1.52504E-01 4.00917E-04 5.43393E-02 5.47402E-02 4.04080E-04 0.356315 1 4 87.5 45.0 135.0 1.35126E-01 3.74919E-04 5.27862E-02 5.31611E-02 3.77878E-04 0.390644 1 7 87.5 90.0 90.0 1.20729E-01 4.12856E-04 5.16509E-02 5.20637E-02 4.16114E-04 0.427824 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 650.0 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 2.663E-03 8.989E-02 1.036E-01 8.640E-02 1.556E-01 2.684E-03 1.572E+01 6.086E-04 6.134E-04 1 0.00 0.00 1.124E-03 1.600E-01 2.478E-03 2.945E-03 5.457E-03 1.177E-03 4.130E+00 3 0.38 0.50 9.889E-04 1.393E-01 2.049E-03 2.694E-03 5.634E-03 1.287E-03 4.136E+00 5 0.79 1.00 8.767E-04 1.212E-01 1.810E-03 2.410E-03 5.117E-03 1.421E-03 4.135E+00 7 1.22 1.50 7.833E-04 1.053E-01 1.597E-03 2.149E-03 4.604E-03 1.585E-03 4.129E+00 9 1.69 2.00 7.059E-04 9.142E-02 1.417E-03 1.921E-03 4.140E-03 1.789E-03 4.124E+00 11 2.20 2.50 6.388E-04 7.929E-02 1.286E-03 1.757E-03 3.795E-03 2.035E-03 4.110E+00 13 2.76 3.00 5.791E-04 6.867E-02 1.155E-03 1.589E-03 3.429E-03 2.329E-03 4.063E+00 15 3.37 3.50 5.293E-04 5.929E-02 1.023E-03 1.413E-03 3.037E-03 2.698E-03 3.979E+00 17 4.02 4.00 4.918E-04 5.095E-02 8.891E-04 1.233E-03 2.632E-03 3.192E-03 3.868E+00 19 4.70 4.50 4.678E-04 4.354E-02 7.724E-04 1.071E-03 2.259E-03 3.880E-03 3.752E+00 21 5.41 5.00 4.583E-04 3.697E-02 6.724E-04 9.295E-04 1.920E-03 4.870E-03 3.676E+00 23 6.15 5.50 4.572E-04 3.121E-02 6.489E-04 8.899E-04 1.781E-03 6.244E-03 3.663E+00 25 6.95 6.00 4.488E-04 2.616E-02 6.904E-04 9.429E-04 1.814E-03 7.932E-03 3.593E+00 27 7.81 6.50 4.399E-04 2.169E-02 6.228E-04 8.419E-04 1.565E-03 1.013E-02 3.389E+00 29 8.67 7.00 4.482E-04 1.779E-02 5.283E-04 7.046E-04 1.258E-03 1.350E-02 3.186E+00 31 9.49 7.50 4.782E-04 1.446E-02 4.481E-04 5.833E-04 9.892E-04 1.881E-02 3.079E+00 34 10.28 8.00 5.299E-04 1.169E-02 4.781E-04 5.324E-04 6.949E-04 2.720E-02 3.142E+00 Waveband 15 of 20 completed in 3.8 sec. * * * * * Output for wavelength band 16 (660.0 to 680.0 nm; nominal wavelength = 670.0 nm) * * * * * Index of refraction at this wavelength is 1.336 RADTRANX clear-sky spectral irradiances averaged over the band from 660.0 nm to 680.0 nm: Ed(diffuse) = 2.540E-01 Ed(direct) = 7.624E-01 Ed(total) = 1.016E+00 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 3.643E-01 Ed(direct) = 6.393E-01 Ed(total) = 1.004E+00 Absorption Coefficients of Individual Components at 670.0 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 0.4390 0.0257 0.0040 0.0012 0.4699 3 0.432 0.500 0.4390 0.0280 0.0036 0.0013 0.4719 5 0.885 1.000 0.4390 0.0316 0.0033 0.0013 0.4752 7 1.365 1.500 0.4390 0.0363 0.0030 0.0014 0.4797 9 1.880 2.000 0.4390 0.0422 0.0027 0.0015 0.4854 11 2.439 2.500 0.4390 0.0489 0.0024 0.0017 0.4920 13 3.046 3.000 0.4390 0.0558 0.0022 0.0020 0.4990 15 3.702 3.500 0.4390 0.0623 0.0020 0.0022 0.5055 17 4.400 4.000 0.4390 0.0676 0.0018 0.0024 0.5109 19 5.134 4.500 0.4390 0.0711 0.0016 0.0028 0.5145 21 5.890 5.000 0.4390 0.0723 0.0015 0.0032 0.5159 23 6.673 5.500 0.4390 0.0711 0.0013 0.0049 0.5163 25 7.518 6.000 0.4390 0.0676 0.0012 0.0093 0.5171 27 8.411 6.500 0.4390 0.0623 0.0011 0.0110 0.5134 29 9.297 7.000 0.4390 0.0558 0.0010 0.0116 0.5074 31 10.153 7.500 0.4390 0.0489 0.0009 0.0120 0.5008 34 10.973 8.000 0.4390 0.0422 0.0008 0.0122 0.4942 Scattering Coefficients of Individual Components at 670.0 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 0.3185 0.0000 0.0599 0.3792 3 0.432 0.500 0.0008 0.3466 0.0000 0.0629 0.4103 5 0.885 1.000 0.0008 0.3880 0.0000 0.0659 0.4547 7 1.365 1.500 0.0008 0.4437 0.0000 0.0689 0.5133 9 1.880 2.000 0.0008 0.5121 0.0000 0.0718 0.5848 11 2.439 2.500 0.0008 0.5892 0.0000 0.0838 0.6739 13 3.046 3.000 0.0008 0.6686 0.0000 0.0958 0.7652 15 3.702 3.500 0.0008 0.7423 0.0000 0.1078 0.8509 17 4.400 4.000 0.0008 0.8024 0.0000 0.1197 0.9230 19 5.134 4.500 0.0008 0.8417 0.0000 0.1377 0.9802 21 5.890 5.000 0.0008 0.8553 0.0000 0.1557 1.0118 23 6.673 5.500 0.0008 0.8417 0.0000 0.2395 1.0820 25 7.518 6.000 0.0008 0.8024 0.0000 0.4550 1.2583 27 8.411 6.500 0.0008 0.7423 0.0000 0.5389 1.2820 29 9.297 7.000 0.0008 0.6686 0.0000 0.5688 1.2382 31 10.153 7.500 0.0008 0.5892 0.0000 0.5868 1.1768 34 10.973 8.000 0.0008 0.5121 0.0000 0.5987 1.1117 Backscattering Coefficients of Individual Components at 670.0 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 0.00041 0.00159 0.00000 0.00163 0.00363 3 0.432 0.500 0.00041 0.00173 0.00000 0.00171 0.00385 5 0.885 1.000 0.00041 0.00194 0.00000 0.00179 0.00414 7 1.365 1.500 0.00041 0.00222 0.00000 0.00187 0.00450 9 1.880 2.000 0.00041 0.00256 0.00000 0.00195 0.00492 11 2.439 2.500 0.00041 0.00295 0.00000 0.00228 0.00563 13 3.046 3.000 0.00041 0.00334 0.00000 0.00260 0.00635 15 3.702 3.500 0.00041 0.00371 0.00000 0.00293 0.00705 17 4.400 4.000 0.00041 0.00401 0.00000 0.00325 0.00767 19 5.134 4.500 0.00041 0.00421 0.00000 0.00374 0.00836 21 5.890 5.000 0.00041 0.00428 0.00000 0.00423 0.00892 23 6.673 5.500 0.00041 0.00421 0.00000 0.00651 0.01113 25 7.518 6.000 0.00041 0.00401 0.00000 0.01237 0.01679 27 8.411 6.500 0.00041 0.00371 0.00000 0.01465 0.01877 29 9.297 7.000 0.00041 0.00334 0.00000 0.01546 0.01921 31 10.153 7.500 0.00041 0.00295 0.00000 0.01595 0.01930 34 10.973 8.000 0.00041 0.00256 0.00000 0.01627 0.01924 Summary of Inherent Optical Properties at 670.0 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 0.4699 0.3792 0.8491 0.4466 0.00363 0.00957 3 0.432 0.500 0.4719 0.4103 0.8823 0.4651 0.00385 0.00938 5 0.885 1.000 0.4752 0.4547 0.9299 0.4890 0.00414 0.00910 7 1.365 1.500 0.4797 0.5133 0.9930 0.5169 0.00450 0.00876 9 1.880 2.000 0.4854 0.5848 1.0701 0.5464 0.00492 0.00842 11 2.439 2.500 0.4920 0.6739 1.1659 0.5780 0.00563 0.00836 13 3.046 3.000 0.4990 0.7652 1.2642 0.6053 0.00635 0.00830 15 3.702 3.500 0.5055 0.8509 1.3564 0.6273 0.00705 0.00828 17 4.400 4.000 0.5109 0.9230 1.4338 0.6437 0.00767 0.00832 19 5.134 4.500 0.5145 0.9802 1.4947 0.6558 0.00836 0.00853 21 5.890 5.000 0.5159 1.0118 1.5278 0.6623 0.00892 0.00881 23 6.673 5.500 0.5163 1.0820 1.5983 0.6770 0.01113 0.01028 25 7.518 6.000 0.5171 1.2583 1.7754 0.7087 0.01679 0.01334 27 8.411 6.500 0.5134 1.2820 1.7954 0.7141 0.01877 0.01464 29 9.297 7.000 0.5074 1.2382 1.7456 0.7093 0.01921 0.01552 31 10.153 7.500 0.5008 1.1768 1.6776 0.7015 0.01930 0.01640 34 10.973 8.000 0.4942 1.1117 1.6059 0.6922 0.01924 0.01731 The bottom reflectance at wavelength 670.0 nm is R = 0.089 Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 670.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.3443E-01 1.5780E+00 1.7125E+00 4.2097E-02 1.0037E+00 0.3132 0.6360 0.5615 4.1943E-02 1 0.00 0.00 1.0142E-02 1.1390E+00 1.1491E+00 4.2228E-03 9.6570E-01 0.4164 0.8478 0.8367 4.3727E-03 3 0.43 0.50 8.7713E-03 8.6512E-01 8.7389E-01 3.6811E-03 7.2955E-01 0.4197 0.8433 0.8306 5.0457E-03 5 0.88 1.00 7.6898E-03 6.5434E-01 6.6203E-01 3.2590E-03 5.4957E-01 0.4238 0.8399 0.8252 5.9300E-03 7 1.36 1.50 6.8341E-03 4.9310E-01 4.9993E-01 2.9246E-03 4.1261E-01 0.4279 0.8368 0.8195 7.0880E-03 9 1.88 2.00 6.1552E-03 3.7016E-01 3.7632E-01 2.6538E-03 3.0855E-01 0.4312 0.8336 0.8129 8.6009E-03 11 2.44 2.50 5.5805E-03 2.7676E-01 2.8234E-01 2.4126E-03 2.2965E-01 0.4323 0.8298 0.8049 1.0505E-02 13 3.05 3.00 5.0118E-03 2.0600E-01 2.1101E-01 2.1737E-03 1.7004E-01 0.4337 0.8254 0.7955 1.2783E-02 15 3.70 3.50 4.4526E-03 1.5264E-01 1.5710E-01 1.9393E-03 1.2526E-01 0.4355 0.8206 0.7850 1.5482E-02 17 4.40 4.00 3.9197E-03 1.1265E-01 1.1657E-01 1.7166E-03 9.1868E-02 0.4379 0.8155 0.7734 1.8685E-02 19 5.13 4.50 3.4317E-03 8.2888E-02 8.6319E-02 1.5121E-03 6.7152E-02 0.4406 0.8102 0.7604 2.2518E-02 21 5.89 5.00 3.0178E-03 6.0883E-02 6.3901E-02 1.3368E-03 4.8993E-02 0.4430 0.8047 0.7458 2.7286E-02 23 6.67 5.50 2.6966E-03 4.4739E-02 4.7436E-02 1.1871E-03 3.5695E-02 0.4402 0.7978 0.7275 3.3258E-02 25 7.52 6.00 2.3526E-03 3.2905E-02 3.5257E-02 1.0223E-03 2.5897E-02 0.4345 0.7870 0.7055 3.9475E-02 27 8.41 6.50 1.9316E-03 2.4094E-02 2.6025E-02 8.4747E-04 1.8704E-02 0.4387 0.7763 0.6861 4.5311E-02 29 9.30 7.00 1.5798E-03 1.7582E-02 1.9162E-02 7.1354E-04 1.3509E-02 0.4517 0.7683 0.6678 5.2820E-02 31 10.15 7.50 1.3480E-03 1.2827E-02 1.4175E-02 6.3767E-04 9.7823E-03 0.4731 0.7626 0.6451 6.5186E-02 34 10.97 8.00 1.2647E-03 9.3727E-03 1.0637E-02 6.3233E-04 7.1089E-03 0.5000 0.7585 0.6089 8.8950E-02 K-functions (units of 1/meter) at 670.0 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 0.050 0.025 0.30272 0.54599 0.54383 0.28861 0.55838 0.55958 0.26922 0.500 0.550 0.525 0.27623 0.55501 0.55220 0.25735 0.56390 0.56547 0.23765 1.000 1.050 1.025 0.24690 0.56253 0.55884 0.22773 0.57005 0.57211 0.21177 1.500 1.550 1.525 0.22217 0.56996 0.56516 0.20385 0.57742 0.58012 0.19391 2.000 2.050 2.025 0.18964 0.57795 0.57154 0.18381 0.58608 0.58960 0.18484 2.500 2.550 2.525 0.20592 0.58635 0.57876 0.20007 0.59630 0.60055 0.19928 3.000 3.050 3.025 0.22712 0.59559 0.58676 0.21965 0.60678 0.61184 0.21574 3.500 3.550 3.525 0.24836 0.60422 0.59405 0.23830 0.61643 0.62243 0.23096 4.000 4.050 4.025 0.25992 0.61132 0.59941 0.24944 0.62415 0.63135 0.24114 4.500 4.550 4.525 0.26906 0.61597 0.60207 0.25509 0.62943 0.63813 0.24676 5.000 5.050 5.025 0.22127 0.61725 0.59837 0.22977 0.63145 0.64283 0.23961 5.500 5.550 5.525 0.20650 0.61494 0.59150 0.24315 0.63573 0.64938 0.25900 6.000 6.050 6.025 0.37555 0.61794 0.60168 0.36949 0.64903 0.66060 0.31872 6.500 6.550 6.525 0.41897 0.62797 0.61238 0.37622 0.65213 0.66532 0.27677 7.000 7.050 7.025 0.37191 0.63121 0.60970 0.29320 0.64839 0.66838 0.17080 7.500 7.550 7.525 0.23352 0.62902 0.59107 0.12682 0.64164 0.67804 0.03074 7.950 8.000 7.975 0.05859 0.62628 0.55962 -0.10057 0.63526 0.70567 -0.10349 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 670.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 9.09280E-02 5.86450E-04 2.06737E-03 2.65382E-03 5.84310E-04 0.022736 9 1 10.0 0.0 180.0 7.84532E-02 6.00598E-04 1.62022E-03 2.22082E-03 5.98406E-04 0.020652 9 4 10.0 45.0 135.0 8.08268E-02 5.96374E-04 1.68146E-03 2.27784E-03 5.94198E-04 0.020803 9 7 10.0 90.0 90.0 8.91012E-02 5.89467E-04 1.96012E-03 2.54959E-03 5.87316E-04 0.021999 8 1 20.0 0.0 180.0 7.24043E-02 6.05486E-04 1.48911E-03 2.09460E-03 6.03276E-04 0.020567 8 4 20.0 45.0 135.0 7.50417E-02 5.97640E-04 1.55254E-03 2.15018E-03 5.95459E-04 0.020689 8 7 20.0 90.0 90.0 8.58902E-02 5.90339E-04 1.82927E-03 2.41961E-03 5.88184E-04 0.021298 7 1 30.0 0.0 180.0 6.82157E-02 6.16241E-04 1.47556E-03 2.09181E-03 6.13992E-04 0.021631 7 4 30.0 45.0 135.0 7.06532E-02 6.09709E-04 1.53125E-03 2.14096E-03 6.07484E-04 0.021673 7 7 30.0 90.0 90.0 8.18847E-02 5.96759E-04 1.80288E-03 2.39964E-03 5.94581E-04 0.022017 6 1 40.0 0.0 180.0 6.57103E-02 6.18295E-04 1.66281E-03 2.28110E-03 6.16038E-04 0.025305 6 4 40.0 45.0 135.0 6.76527E-02 6.11245E-04 1.70878E-03 2.32003E-03 6.09014E-04 0.025258 6 7 40.0 90.0 90.0 7.80665E-02 5.97051E-04 1.98550E-03 2.58255E-03 5.94872E-04 0.025433 5 1 50.0 0.0 180.0 6.53564E-02 6.27240E-04 2.37637E-03 3.00361E-03 6.24950E-04 0.036360 5 4 50.0 45.0 135.0 6.63742E-02 6.13149E-04 2.39364E-03 3.00679E-03 6.10911E-04 0.036063 5 7 50.0 90.0 90.0 7.55713E-02 5.99527E-04 2.70762E-03 3.30715E-03 5.97339E-04 0.035829 4 1 60.0 0.0 180.0 6.86052E-02 6.16665E-04 4.76731E-03 5.38398E-03 6.14414E-04 0.069489 4 4 60.0 45.0 135.0 6.80637E-02 6.01120E-04 4.63018E-03 5.23130E-03 5.98926E-04 0.068027 4 7 60.0 90.0 90.0 7.52313E-02 5.93983E-04 5.01083E-03 5.60481E-03 5.91815E-04 0.066606 3 1 70.0 0.0 180.0 7.92168E-02 5.68231E-04 1.22467E-02 1.28150E-02 5.66158E-04 0.154598 3 4 70.0 45.0 135.0 7.58738E-02 5.59543E-04 1.15890E-02 1.21486E-02 5.57500E-04 0.152741 3 7 70.0 90.0 90.0 7.96063E-02 5.54764E-04 1.20085E-02 1.25632E-02 5.52740E-04 0.150848 2 1 80.0 0.0 180.0 1.08777E-01 4.77260E-04 3.05744E-02 3.10517E-02 4.75518E-04 0.281075 2 4 80.0 45.0 135.0 9.95746E-02 4.69792E-04 2.89685E-02 2.94383E-02 4.68077E-04 0.290923 2 7 80.0 90.0 90.0 9.61793E-02 4.66504E-04 2.90826E-02 2.95491E-02 4.64801E-04 0.302379 1 1 87.5 0.0 180.0 1.54270E-01 3.72550E-04 5.49327E-02 5.53052E-02 3.71190E-04 0.356081 1 4 87.5 45.0 135.0 1.36691E-01 3.49835E-04 5.33629E-02 5.37127E-02 3.48558E-04 0.390390 1 7 87.5 90.0 90.0 1.22128E-01 3.82222E-04 5.22146E-02 5.25968E-02 3.80827E-04 0.427541 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 670.0 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 2.654E-03 9.093E-02 1.048E-01 8.736E-02 1.573E-01 2.644E-03 1.586E+01 5.865E-04 5.843E-04 1 0.00 0.00 1.081E-03 1.616E-01 2.212E-03 2.551E-03 4.510E-03 1.120E-03 3.905E+00 3 0.43 0.50 9.520E-04 1.330E-01 1.722E-03 2.182E-03 4.292E-03 1.305E-03 3.867E+00 5 0.88 1.00 8.506E-04 1.093E-01 1.484E-03 1.881E-03 3.681E-03 1.548E-03 3.831E+00 7 1.36 1.50 7.685E-04 8.967E-02 1.296E-03 1.634E-03 3.150E-03 1.862E-03 3.806E+00 9 1.88 2.00 6.993E-04 7.337E-02 1.150E-03 1.438E-03 2.710E-03 2.266E-03 3.795E+00 11 2.44 2.50 6.356E-04 5.989E-02 1.046E-03 1.295E-03 2.381E-03 2.768E-03 3.796E+00 13 3.05 3.00 5.732E-04 4.874E-02 9.502E-04 1.162E-03 2.071E-03 3.371E-03 3.792E+00 15 3.70 3.50 5.128E-04 3.949E-02 8.520E-04 1.028E-03 1.770E-03 4.094E-03 3.782E+00 17 4.40 4.00 4.557E-04 3.182E-02 7.556E-04 8.991E-04 1.488E-03 4.961E-03 3.766E+00 19 5.13 4.50 4.033E-04 2.549E-02 6.645E-04 7.795E-04 1.240E-03 6.005E-03 3.750E+00 21 5.89 5.00 3.570E-04 2.029E-02 5.781E-04 6.690E-04 1.023E-03 7.286E-03 3.745E+00 23 6.67 5.50 3.153E-04 1.606E-02 5.184E-04 5.979E-04 8.941E-04 8.832E-03 3.765E+00 25 7.52 6.00 2.728E-04 1.263E-02 4.770E-04 5.548E-04 8.288E-04 1.053E-02 3.747E+00 27 8.41 6.50 2.344E-04 9.841E-03 3.994E-04 4.631E-04 6.764E-04 1.253E-02 3.616E+00 29 9.30 7.00 2.087E-04 7.604E-03 3.187E-04 3.665E-04 5.187E-04 1.545E-02 3.419E+00 31 10.15 7.50 1.976E-04 5.840E-03 2.503E-04 2.847E-04 3.893E-04 2.020E-02 3.227E+00 34 10.97 8.00 2.013E-04 4.468E-03 2.046E-04 2.178E-04 2.576E-04 2.831E-02 3.142E+00 Waveband 16 of 20 completed in 4.5 sec. * * * * * Output for wavelength band 17 (680.0 to 700.0 nm; nominal wavelength = 690.0 nm) * * * * * Index of refraction at this wavelength is 1.336 RADTRANX clear-sky spectral irradiances averaged over the band from 680.0 nm to 700.0 nm: Ed(diffuse) = 2.206E-01 Ed(direct) = 6.855E-01 Ed(total) = 9.060E-01 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 3.248E-01 Ed(direct) = 5.699E-01 Ed(total) = 8.947E-01 Absorption Coefficients of Individual Components at 690.0 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 0.5160 0.0139 0.0030 0.0011 0.5341 3 0.459 0.500 0.5160 0.0152 0.0027 0.0012 0.5351 5 0.936 1.000 0.5160 0.0171 0.0025 0.0013 0.5368 7 1.440 1.500 0.5160 0.0197 0.0022 0.0013 0.5392 9 1.977 2.000 0.5160 0.0229 0.0020 0.0014 0.5423 11 2.554 2.500 0.5160 0.0265 0.0018 0.0016 0.5460 13 3.178 3.000 0.5160 0.0303 0.0017 0.0018 0.5498 15 3.847 3.500 0.5160 0.0338 0.0015 0.0020 0.5533 17 4.557 4.000 0.5160 0.0367 0.0014 0.0023 0.5563 19 5.299 4.500 0.5160 0.0386 0.0012 0.0026 0.5584 21 6.063 5.000 0.5160 0.0392 0.0011 0.0030 0.5593 23 6.853 5.500 0.5160 0.0386 0.0010 0.0045 0.5601 25 7.702 6.000 0.5160 0.0367 0.0009 0.0086 0.5622 27 8.599 6.500 0.5160 0.0338 0.0008 0.0102 0.5609 29 9.489 7.000 0.5160 0.0303 0.0007 0.0108 0.5578 31 10.351 7.500 0.5160 0.0265 0.0007 0.0111 0.5543 34 11.180 8.000 0.5160 0.0229 0.0006 0.0114 0.5509 Scattering Coefficients of Individual Components at 690.0 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 0.3103 0.0000 0.0575 0.3685 3 0.459 0.500 0.0007 0.3377 0.0000 0.0604 0.3987 5 0.936 1.000 0.0007 0.3780 0.0000 0.0632 0.4419 7 1.440 1.500 0.0007 0.4322 0.0000 0.0661 0.4990 9 1.977 2.000 0.0007 0.4989 0.0000 0.0690 0.5686 11 2.554 2.500 0.0007 0.5740 0.0000 0.0805 0.6552 13 3.178 3.000 0.0007 0.6513 0.0000 0.0920 0.7440 15 3.847 3.500 0.0007 0.7231 0.0000 0.1035 0.8273 17 4.557 4.000 0.0007 0.7816 0.0000 0.1150 0.8973 19 5.299 4.500 0.0007 0.8199 0.0000 0.1322 0.9529 21 6.063 5.000 0.0007 0.8332 0.0000 0.1495 0.9834 23 6.853 5.500 0.0007 0.8199 0.0000 0.2300 1.0506 25 7.702 6.000 0.0007 0.7816 0.0000 0.4369 1.2193 27 8.599 6.500 0.0007 0.7231 0.0000 0.5174 1.2413 29 9.489 7.000 0.0007 0.6513 0.0000 0.5462 1.1982 31 10.351 7.500 0.0007 0.5740 0.0000 0.5634 1.1381 34 11.180 8.000 0.0007 0.4989 0.0000 0.5749 1.0745 Backscattering Coefficients of Individual Components at 690.0 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 0.00036 0.00155 0.00000 0.00154 0.00345 3 0.459 0.500 0.00036 0.00169 0.00000 0.00162 0.00366 5 0.936 1.000 0.00036 0.00189 0.00000 0.00169 0.00394 7 1.440 1.500 0.00036 0.00216 0.00000 0.00177 0.00429 9 1.977 2.000 0.00036 0.00249 0.00000 0.00185 0.00470 11 2.554 2.500 0.00036 0.00287 0.00000 0.00216 0.00538 13 3.178 3.000 0.00036 0.00326 0.00000 0.00246 0.00608 15 3.847 3.500 0.00036 0.00362 0.00000 0.00277 0.00675 17 4.557 4.000 0.00036 0.00391 0.00000 0.00308 0.00735 19 5.299 4.500 0.00036 0.00410 0.00000 0.00354 0.00800 21 6.063 5.000 0.00036 0.00417 0.00000 0.00400 0.00853 23 6.853 5.500 0.00036 0.00410 0.00000 0.00616 0.01062 25 7.702 6.000 0.00036 0.00391 0.00000 0.01170 0.01597 27 8.599 6.500 0.00036 0.00362 0.00000 0.01386 0.01783 29 9.489 7.000 0.00036 0.00326 0.00000 0.01463 0.01824 31 10.351 7.500 0.00036 0.00287 0.00000 0.01509 0.01832 34 11.180 8.000 0.00036 0.00249 0.00000 0.01540 0.01825 Summary of Inherent Optical Properties at 690.0 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 0.5341 0.3685 0.9026 0.4083 0.00345 0.00936 3 0.459 0.500 0.5351 0.3987 0.9339 0.4270 0.00366 0.00919 5 0.936 1.000 0.5368 0.4419 0.9788 0.4515 0.00394 0.00892 7 1.440 1.500 0.5392 0.4990 1.0383 0.4806 0.00429 0.00860 9 1.977 2.000 0.5423 0.5686 1.1109 0.5118 0.00470 0.00827 11 2.554 2.500 0.5460 0.6552 1.2011 0.5455 0.00538 0.00822 13 3.178 3.000 0.5498 0.7440 1.2938 0.5751 0.00608 0.00817 15 3.847 3.500 0.5533 0.8273 1.3807 0.5992 0.00675 0.00815 17 4.557 4.000 0.5563 0.8973 1.4536 0.6173 0.00735 0.00819 19 5.299 4.500 0.5584 0.9529 1.5113 0.6305 0.00800 0.00840 21 6.063 5.000 0.5593 0.9834 1.5427 0.6375 0.00853 0.00867 23 6.853 5.500 0.5601 1.0506 1.6107 0.6523 0.01062 0.01011 25 7.702 6.000 0.5622 1.2193 1.7815 0.6844 0.01597 0.01310 27 8.599 6.500 0.5609 1.2413 1.8021 0.6888 0.01783 0.01437 29 9.489 7.000 0.5578 1.1982 1.7560 0.6823 0.01824 0.01523 31 10.351 7.500 0.5543 1.1381 1.6925 0.6725 0.01832 0.01610 34 11.180 8.000 0.5509 1.0745 1.6254 0.6611 0.01825 0.01699 The bottom reflectance at wavelength 690.0 nm is R = 0.181 Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 690.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.2035E-01 1.4067E+00 1.5270E+00 3.7818E-02 8.9469E-01 0.3142 0.6360 0.5611 4.2269E-02 1 0.00 0.00 9.7446E-03 1.0158E+00 1.0256E+00 4.2363E-03 8.6103E-01 0.4347 0.8476 0.8354 4.9201E-03 3 0.46 0.50 8.5833E-03 7.4327E-01 7.5185E-01 3.7920E-03 6.2698E-01 0.4418 0.8435 0.8289 6.0480E-03 5 0.94 1.00 7.7514E-03 5.4228E-01 5.5003E-01 3.4778E-03 4.5572E-01 0.4487 0.8404 0.8222 7.6315E-03 7 1.44 1.50 7.1539E-03 3.9490E-01 4.0206E-01 3.2498E-03 3.3064E-01 0.4543 0.8373 0.8143 9.8289E-03 9 1.98 2.00 6.7090E-03 2.8717E-01 2.9388E-01 3.0713E-03 2.3941E-01 0.4578 0.8337 0.8042 1.2828E-02 11 2.55 2.50 6.3280E-03 2.0862E-01 2.1495E-01 2.9026E-03 1.7298E-01 0.4587 0.8292 0.7913 1.6780E-02 13 3.18 3.00 5.9131E-03 1.5144E-01 1.5735E-01 2.7132E-03 1.2471E-01 0.4588 0.8235 0.7753 2.1756E-02 15 3.85 3.50 5.4497E-03 1.0989E-01 1.1534E-01 2.4991E-03 8.9750E-02 0.4586 0.8167 0.7564 2.7845E-02 17 4.56 4.00 4.9439E-03 7.9779E-02 8.4723E-02 2.2648E-03 6.4533E-02 0.4581 0.8089 0.7350 3.5095E-02 19 5.30 4.50 4.4133E-03 5.7998E-02 6.2412E-02 2.0191E-03 4.6408E-02 0.4575 0.8002 0.7112 4.3508E-02 21 6.06 5.00 3.8892E-03 4.2264E-02 4.6153E-02 1.7764E-03 3.3419E-02 0.4567 0.7907 0.6856 5.3154E-02 23 6.85 5.50 3.3976E-03 3.0909E-02 3.4307E-02 1.5429E-03 2.4101E-02 0.4541 0.7797 0.6575 6.4018E-02 25 7.70 6.00 2.8897E-03 2.2665E-02 2.5555E-02 1.3046E-03 1.7350E-02 0.4514 0.7655 0.6279 7.5191E-02 27 8.60 6.50 2.3659E-03 1.6564E-02 1.8929E-02 1.0791E-03 1.2454E-02 0.4561 0.7519 0.6009 8.6648E-02 29 9.49 7.00 1.9433E-03 1.2064E-02 1.4007E-02 9.1057E-04 8.9429E-03 0.4686 0.7413 0.5735 1.0182E-01 31 10.35 7.50 1.6796E-03 8.7757E-03 1.0455E-02 8.2109E-04 6.4351E-03 0.4889 0.7333 0.5370 1.2759E-01 34 11.18 8.00 1.6804E-03 6.3873E-03 8.0677E-03 8.4021E-04 4.6421E-03 0.5000 0.7268 0.4712 1.8100E-01 K-functions (units of 1/meter) at 690.0 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 0.050 0.025 0.27965 0.62209 0.61880 0.24567 0.63265 0.63459 0.20848 0.500 0.550 0.525 0.22564 0.62839 0.62375 0.19352 0.63647 0.63920 0.16370 1.000 1.050 1.025 0.17831 0.63280 0.62633 0.15015 0.64004 0.64385 0.13161 1.500 1.550 1.525 0.14151 0.63595 0.62705 0.12100 0.64384 0.64910 0.11495 2.000 2.050 2.025 0.11238 0.63836 0.62620 0.10625 0.64788 0.65502 0.11377 2.500 2.550 2.525 0.12571 0.63999 0.62466 0.12376 0.65248 0.66163 0.13433 3.000 3.050 3.025 0.15019 0.64128 0.62261 0.15053 0.65653 0.66793 0.16184 3.500 3.550 3.525 0.18081 0.64116 0.61917 0.18245 0.65922 0.67305 0.19284 4.000 4.050 4.025 0.21153 0.63929 0.61407 0.21468 0.65986 0.67623 0.22359 4.500 4.550 4.525 0.24460 0.63532 0.60743 0.24666 0.65836 0.67729 0.25220 5.000 5.050 5.025 0.25385 0.62927 0.59736 0.26511 0.65433 0.67641 0.27237 5.500 5.550 5.525 0.28042 0.62184 0.58777 0.30029 0.65337 0.67775 0.29914 6.000 6.050 6.025 0.38713 0.62253 0.59577 0.37831 0.66225 0.68551 0.32949 6.500 6.550 6.525 0.41297 0.63139 0.60396 0.37352 0.66357 0.69131 0.28362 7.000 7.050 7.025 0.35755 0.63579 0.59696 0.28413 0.66024 0.70332 0.17471 7.500 7.550 7.525 0.18468 0.63608 0.56287 0.09296 0.65525 0.73883 0.02267 7.950 8.000 7.975 -0.30325 0.63205 0.44081 -0.20990 0.65071 0.83601 -0.12866 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 690.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 8.10551E-02 6.26915E-04 1.84290E-03 2.46981E-03 7.00709E-04 0.022736 9 1 10.0 0.0 180.0 6.99348E-02 6.38804E-04 1.44430E-03 2.08310E-03 7.13997E-04 0.020652 9 4 10.0 45.0 135.0 7.20507E-02 6.35223E-04 1.49889E-03 2.13412E-03 7.09995E-04 0.020803 9 7 10.0 90.0 90.0 7.94267E-02 6.29714E-04 1.74730E-03 2.37701E-03 7.03838E-04 0.021999 8 1 20.0 0.0 180.0 6.45427E-02 6.41186E-04 1.32743E-03 1.96861E-03 7.16660E-04 0.020567 8 4 20.0 45.0 135.0 6.68938E-02 6.34470E-04 1.38397E-03 2.01844E-03 7.09153E-04 0.020689 8 7 20.0 90.0 90.0 7.65643E-02 6.29626E-04 1.63065E-03 2.26027E-03 7.03739E-04 0.021298 7 1 30.0 0.0 180.0 6.08089E-02 6.49592E-04 1.31535E-03 1.96494E-03 7.26056E-04 0.021631 7 4 30.0 45.0 135.0 6.29817E-02 6.44955E-04 1.36499E-03 2.00994E-03 7.20873E-04 0.021673 7 7 30.0 90.0 90.0 7.29937E-02 6.35005E-04 1.60712E-03 2.24213E-03 7.09752E-04 0.022017 6 1 40.0 0.0 180.0 5.85756E-02 6.47439E-04 1.48226E-03 2.12970E-03 7.23649E-04 0.025305 6 4 40.0 45.0 135.0 6.03070E-02 6.42976E-04 1.52325E-03 2.16622E-03 7.18661E-04 0.025258 6 7 40.0 90.0 90.0 6.95901E-02 6.32202E-04 1.76991E-03 2.40211E-03 7.06619E-04 0.025433 5 1 50.0 0.0 180.0 5.82600E-02 6.53063E-04 2.11834E-03 2.77140E-03 7.29935E-04 0.036360 5 4 50.0 45.0 135.0 5.91674E-02 6.41564E-04 2.13374E-03 2.77531E-03 7.17083E-04 0.036063 5 7 50.0 90.0 90.0 6.73659E-02 6.30973E-04 2.41363E-03 3.04460E-03 7.05246E-04 0.035829 4 1 60.0 0.0 180.0 6.11561E-02 6.38291E-04 4.24968E-03 4.88797E-03 7.13425E-04 0.069489 4 4 60.0 45.0 135.0 6.06734E-02 6.25487E-04 4.12744E-03 4.75293E-03 6.99113E-04 0.068027 4 7 60.0 90.0 90.0 6.70627E-02 6.20893E-04 4.46676E-03 5.08765E-03 6.93978E-04 0.066606 3 1 70.0 0.0 180.0 7.06155E-02 5.84257E-04 1.09170E-02 1.15013E-02 6.53030E-04 0.154598 3 4 70.0 45.0 135.0 6.76355E-02 5.78243E-04 1.03307E-02 1.09089E-02 6.46309E-04 0.152741 3 7 70.0 90.0 90.0 7.09627E-02 5.74429E-04 1.07046E-02 1.12790E-02 6.42045E-04 0.150848 2 1 80.0 0.0 180.0 9.69658E-02 4.87699E-04 2.72547E-02 2.77424E-02 5.45107E-04 0.281075 2 4 80.0 45.0 135.0 8.87629E-02 4.82338E-04 2.58232E-02 2.63055E-02 5.39114E-04 0.290923 2 7 80.0 90.0 90.0 8.57363E-02 4.78739E-04 2.59249E-02 2.64036E-02 5.35091E-04 0.302379 1 1 87.5 0.0 180.0 1.37520E-01 3.78291E-04 4.89681E-02 4.93464E-02 4.22819E-04 0.356081 1 4 87.5 45.0 135.0 1.21849E-01 3.56724E-04 4.75688E-02 4.79255E-02 3.98715E-04 0.390390 1 7 87.5 90.0 90.0 1.08867E-01 3.88574E-04 4.65452E-02 4.69337E-02 4.34313E-04 0.427541 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 690.0 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 2.470E-03 8.106E-02 9.343E-02 7.790E-02 1.402E-01 2.761E-03 1.531E+01 6.269E-04 7.007E-04 1 0.00 0.00 1.156E-03 1.440E-01 2.090E-03 2.346E-03 3.871E-03 1.343E-03 3.664E+00 3 0.46 0.50 1.053E-03 1.148E-01 1.597E-03 1.936E-03 3.495E-03 1.679E-03 3.602E+00 5 0.94 1.00 9.776E-04 9.136E-02 1.401E-03 1.682E-03 2.962E-03 2.145E-03 3.558E+00 7 1.44 1.50 9.194E-04 7.264E-02 1.264E-03 1.496E-03 2.538E-03 2.781E-03 3.535E+00 9 1.98 2.00 8.689E-04 5.770E-02 1.170E-03 1.361E-03 2.209E-03 3.629E-03 3.535E+00 11 2.55 2.50 8.174E-04 4.581E-02 1.112E-03 1.273E-03 1.977E-03 4.725E-03 3.551E+00 13 3.18 3.00 7.598E-04 3.633E-02 1.057E-03 1.191E-03 1.766E-03 6.093E-03 3.571E+00 15 3.85 3.50 6.960E-04 2.876E-02 9.926E-04 1.102E-03 1.560E-03 7.754E-03 3.591E+00 17 4.56 4.00 6.276E-04 2.269E-02 9.190E-04 1.005E-03 1.361E-03 9.726E-03 3.608E+00 19 5.30 4.50 5.575E-04 1.784E-02 8.365E-04 9.042E-04 1.176E-03 1.201E-02 3.622E+00 21 6.06 5.00 4.891E-04 1.396E-02 7.474E-04 7.995E-04 1.003E-03 1.464E-02 3.632E+00 23 6.85 5.50 4.241E-04 1.088E-02 6.646E-04 7.090E-04 8.753E-04 1.760E-02 3.638E+00 25 7.70 6.00 3.622E-04 8.434E-03 5.846E-04 6.271E-04 7.777E-04 2.088E-02 3.602E+00 27 8.60 6.50 3.097E-04 6.481E-03 4.821E-04 5.159E-04 6.299E-04 2.487E-02 3.484E+00 29 9.49 7.00 2.749E-04 4.939E-03 3.827E-04 4.072E-04 4.859E-04 3.074E-02 3.312E+00 31 10.35 7.50 2.604E-04 3.740E-03 2.989E-04 3.159E-04 3.682E-04 4.047E-02 3.153E+00 34 11.18 8.00 2.674E-04 2.819E-03 2.566E-04 2.629E-04 2.822E-04 5.761E-02 3.142E+00 Waveband 17 of 20 completed in 4.3 sec. * * * * * Output for wavelength band 18 (700.0 to 720.0 nm; nominal wavelength = 710.0 nm) * * * * * Index of refraction at this wavelength is 1.335 RADTRANX clear-sky spectral irradiances averaged over the band from 700.0 nm to 720.0 nm: Ed(diffuse) = 2.029E-01 Ed(direct) = 6.518E-01 Ed(total) = 8.547E-01 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 3.064E-01 Ed(direct) = 5.376E-01 Ed(total) = 8.440E-01 Absorption Coefficients of Individual Components at 710.0 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 0.8270 0.0048 0.0023 0.0011 0.8351 3 0.604 0.500 0.8270 0.0052 0.0021 0.0011 0.8354 5 1.225 1.000 0.8270 0.0059 0.0019 0.0012 0.8359 7 1.872 1.500 0.8270 0.0068 0.0017 0.0012 0.8367 9 2.549 2.000 0.8270 0.0079 0.0015 0.0013 0.8377 11 3.266 2.500 0.8270 0.0091 0.0014 0.0015 0.8390 13 4.026 3.000 0.8270 0.0104 0.0013 0.0017 0.8404 15 4.829 3.500 0.8270 0.0116 0.0011 0.0019 0.8417 17 5.670 4.000 0.8270 0.0126 0.0010 0.0021 0.8428 19 6.542 4.500 0.8270 0.0133 0.0009 0.0025 0.8436 21 7.436 5.000 0.8270 0.0135 0.0008 0.0028 0.8441 23 8.353 5.500 0.8270 0.0133 0.0008 0.0043 0.8453 25 9.329 6.000 0.8270 0.0126 0.0007 0.0081 0.8484 27 10.351 6.500 0.8270 0.0116 0.0006 0.0096 0.8489 29 11.367 7.000 0.8270 0.0104 0.0006 0.0102 0.8482 31 12.358 7.500 0.8270 0.0091 0.0005 0.0105 0.8471 34 13.317 8.000 0.8270 0.0079 0.0005 0.0107 0.8461 Scattering Coefficients of Individual Components at 710.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0006 0.3021 0.0000 0.0555 0.3582 3 0.604 0.500 0.0006 0.3287 0.0000 0.0583 0.3876 5 1.225 1.000 0.0006 0.3679 0.0000 0.0611 0.4297 7 1.872 1.500 0.0006 0.4207 0.0000 0.0639 0.4852 9 2.549 2.000 0.0006 0.4856 0.0000 0.0666 0.5529 11 3.266 2.500 0.0006 0.5587 0.0000 0.0778 0.6371 13 4.026 3.000 0.0006 0.6340 0.0000 0.0889 0.7235 15 4.829 3.500 0.0006 0.7039 0.0000 0.1000 0.8045 17 5.670 4.000 0.0006 0.7609 0.0000 0.1111 0.8726 19 6.542 4.500 0.0006 0.7981 0.0000 0.1277 0.9265 21 7.436 5.000 0.0006 0.8111 0.0000 0.1444 0.9561 23 8.353 5.500 0.0006 0.7981 0.0000 0.2222 1.0209 25 9.329 6.000 0.0006 0.7609 0.0000 0.4221 1.1836 27 10.351 6.500 0.0006 0.7039 0.0000 0.4998 1.2044 29 11.367 7.000 0.0006 0.6340 0.0000 0.5276 1.1622 31 12.358 7.500 0.0006 0.5587 0.0000 0.5443 1.1036 34 13.317 8.000 0.0006 0.4856 0.0000 0.5554 1.0416 Backscattering Coefficients of Individual Components at 710.0 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 0.00032 0.00151 0.00000 0.00147 0.00329 3 0.604 0.500 0.00032 0.00164 0.00000 0.00154 0.00350 5 1.225 1.000 0.00032 0.00184 0.00000 0.00161 0.00377 7 1.872 1.500 0.00032 0.00210 0.00000 0.00169 0.00411 9 2.549 2.000 0.00032 0.00243 0.00000 0.00176 0.00451 11 3.266 2.500 0.00032 0.00279 0.00000 0.00205 0.00516 13 4.026 3.000 0.00032 0.00317 0.00000 0.00235 0.00583 15 4.829 3.500 0.00032 0.00352 0.00000 0.00264 0.00648 17 5.670 4.000 0.00032 0.00380 0.00000 0.00293 0.00705 19 6.542 4.500 0.00032 0.00399 0.00000 0.00337 0.00768 21 7.436 5.000 0.00032 0.00406 0.00000 0.00381 0.00819 23 8.353 5.500 0.00032 0.00399 0.00000 0.00587 0.01017 25 9.329 6.000 0.00032 0.00380 0.00000 0.01114 0.01527 27 10.351 6.500 0.00032 0.00352 0.00000 0.01320 0.01704 29 11.367 7.000 0.00032 0.00317 0.00000 0.01393 0.01742 31 12.358 7.500 0.00032 0.00279 0.00000 0.01437 0.01748 34 13.317 8.000 0.00032 0.00243 0.00000 0.01466 0.01741 Summary of Inherent Optical Properties at 710.0 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 0.8351 0.3582 1.1934 0.3002 0.00329 0.00920 3 0.604 0.500 0.8354 0.3876 1.2231 0.3169 0.00350 0.00903 5 1.225 1.000 0.8359 0.4297 1.2656 0.3395 0.00377 0.00878 7 1.872 1.500 0.8367 0.4852 1.3219 0.3671 0.00411 0.00847 9 2.549 2.000 0.8377 0.5529 1.3906 0.3976 0.00451 0.00815 11 3.266 2.500 0.8390 0.6371 1.4761 0.4316 0.00516 0.00811 13 4.026 3.000 0.8404 0.7235 1.5639 0.4626 0.00583 0.00806 15 4.829 3.500 0.8417 0.8045 1.6462 0.4887 0.00648 0.00805 17 5.670 4.000 0.8428 0.8726 1.7154 0.5087 0.00705 0.00808 19 6.542 4.500 0.8436 0.9265 1.7702 0.5234 0.00768 0.00829 21 7.436 5.000 0.8441 0.9561 1.8002 0.5311 0.00819 0.00856 23 8.353 5.500 0.8453 1.0209 1.8662 0.5471 0.01017 0.00997 25 9.329 6.000 0.8484 1.1836 2.0321 0.5825 0.01527 0.01290 27 10.351 6.500 0.8489 1.2044 2.0533 0.5866 0.01704 0.01414 29 11.367 7.000 0.8482 1.1622 2.0104 0.5781 0.01742 0.01499 31 12.358 7.500 0.8471 1.1036 1.9508 0.5657 0.01748 0.01584 34 13.317 8.000 0.8461 1.0416 1.8877 0.5518 0.01741 0.01671 The bottom reflectance at wavelength 710.0 nm is R = 0.449 Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 710.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.1103E-01 1.3270E+00 1.4380E+00 3.4337E-02 8.4397E-01 0.3093 0.6360 0.5630 4.0685E-02 1 0.00 0.00 3.6467E-03 9.5427E-01 9.5792E-01 1.4374E-03 8.1101E-01 0.3942 0.8499 0.8451 1.7723E-03 3 0.60 0.50 2.5410E-03 5.8348E-01 5.8602E-01 1.0147E-03 4.9478E-01 0.3993 0.8480 0.8426 2.0509E-03 5 1.23 1.00 1.8277E-03 3.5594E-01 3.5777E-01 7.4443E-04 3.0156E-01 0.4073 0.8472 0.8408 2.4686E-03 7 1.87 1.50 1.3686E-03 2.1695E-01 2.1832E-01 5.7099E-04 1.8368E-01 0.4172 0.8466 0.8387 3.1087E-03 9 2.55 2.00 1.0734E-03 1.3218E-01 1.3325E-01 4.5932E-04 1.1179E-01 0.4279 0.8458 0.8355 4.1087E-03 11 3.27 2.50 8.7824E-04 8.0519E-02 8.1397E-02 3.8336E-04 6.7980E-02 0.4365 0.8443 0.8305 5.6393E-03 13 4.03 3.00 7.3231E-04 4.9048E-02 4.9781E-02 3.2567E-04 4.1296E-02 0.4447 0.8419 0.8230 7.8862E-03 15 4.83 3.50 6.1920E-04 2.9890E-02 3.0509E-02 2.7988E-04 2.5070E-02 0.4520 0.8387 0.8125 1.1164E-02 17 5.67 4.00 5.2832E-04 1.8241E-02 1.8770E-02 2.4200E-04 1.5222E-02 0.4580 0.8345 0.7981 1.5898E-02 19 6.54 4.50 4.5267E-04 1.1167E-02 1.1620E-02 2.0943E-04 9.2559E-03 0.4627 0.8288 0.7785 2.2627E-02 21 7.44 5.00 3.8882E-04 6.8719E-03 7.2608E-03 1.8128E-04 5.6456E-03 0.4662 0.8215 0.7526 3.2109E-02 23 8.35 5.50 3.3512E-04 4.2631E-03 4.5983E-03 1.5654E-04 3.4577E-03 0.4671 0.8111 0.7179 4.5273E-02 25 9.33 6.00 2.8343E-04 2.6690E-03 2.9524E-03 1.3282E-04 2.1225E-03 0.4686 0.7952 0.6739 6.2580E-02 27 10.35 6.50 2.3442E-04 1.6801E-03 1.9145E-03 1.1257E-04 1.3064E-03 0.4802 0.7776 0.6236 8.6167E-02 29 11.37 7.00 2.0239E-04 1.0661E-03 1.2685E-03 1.0194E-04 8.1068E-04 0.5037 0.7604 0.5587 1.2575E-01 31 12.36 7.50 2.0035E-04 6.8515E-04 8.8550E-04 1.0718E-04 5.0914E-04 0.5350 0.7431 0.4539 2.1052E-01 34 13.32 8.00 2.9141E-04 4.4973E-04 7.4114E-04 1.4570E-04 3.2475E-04 0.5000 0.7221 0.2416 4.4867E-01 K-functions (units of 1/meter) at 710.0 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 0.050 0.025 0.74880 0.98076 0.97988 0.72591 0.98702 0.98749 0.68827 0.500 0.550 0.525 0.69149 0.98723 0.98594 0.65699 0.98957 0.99026 0.60448 1.000 1.050 1.025 0.61661 0.98965 0.98773 0.57176 0.99100 0.99205 0.51153 1.500 1.550 1.525 0.53072 0.99074 0.98782 0.47935 0.99238 0.99400 0.41950 2.000 2.050 2.025 0.42119 0.99126 0.98661 0.38082 0.99390 0.99647 0.33818 2.500 2.550 2.525 0.37926 0.99139 0.98468 0.34043 0.99604 0.99982 0.30279 3.000 3.050 3.025 0.34647 0.99115 0.98152 0.31161 0.99781 1.00336 0.28055 3.500 3.550 3.525 0.32458 0.98936 0.97564 0.29515 0.99831 1.00639 0.27053 4.000 4.050 4.025 0.30889 0.98480 0.96546 0.28730 0.99661 1.00827 0.26873 4.500 4.550 4.525 0.30921 0.97637 0.94996 0.29093 0.99207 1.00860 0.27292 5.000 5.050 5.025 0.28716 0.96302 0.92625 0.28325 0.98390 1.00757 0.27016 5.500 5.550 5.525 0.29674 0.94454 0.89661 0.30187 0.97629 1.00885 0.27551 6.000 6.050 6.025 0.38861 0.92979 0.87719 0.35612 0.97518 1.01719 0.26616 6.500 6.550 6.525 0.35895 0.91792 0.84864 0.28414 0.96303 1.02825 0.14469 7.000 7.050 7.025 0.18538 0.89703 0.78178 0.06539 0.94222 1.07156 -0.06298 7.500 7.550 7.525 -0.24474 0.86632 0.60948 -0.33698 0.91475 1.26220 -0.30607 7.950 8.000 7.975 -1.83567 0.79072 -0.20121 -0.96966 0.87901 2.26673 -0.49806 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 710.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 7.64604E-02 1.87162E-04 1.73040E-03 1.91757E-03 2.21764E-04 0.022631 9 1 10.0 0.0 180.0 6.59705E-02 1.92836E-04 1.35613E-03 1.54897E-03 2.28487E-04 0.020557 9 4 10.0 45.0 135.0 6.79664E-02 1.91159E-04 1.40740E-03 1.59856E-03 2.26500E-04 0.020707 9 7 10.0 90.0 90.0 7.49243E-02 1.88210E-04 1.64064E-03 1.82885E-03 2.23005E-04 0.021897 8 1 20.0 0.0 180.0 6.08840E-02 1.95268E-04 1.24643E-03 1.44169E-03 2.31368E-04 0.020472 8 4 20.0 45.0 135.0 6.31018E-02 1.92172E-04 1.29952E-03 1.49169E-03 2.27700E-04 0.020594 8 7 20.0 90.0 90.0 7.22242E-02 1.88661E-04 1.53115E-03 1.71981E-03 2.23540E-04 0.021200 7 1 30.0 0.0 180.0 5.73618E-02 1.99660E-04 1.23521E-03 1.43487E-03 2.36572E-04 0.021534 7 4 30.0 45.0 135.0 5.94115E-02 1.96700E-04 1.28183E-03 1.47853E-03 2.33065E-04 0.021575 7 7 30.0 90.0 90.0 6.88560E-02 1.90969E-04 1.50921E-03 1.70018E-03 2.26275E-04 0.021918 6 1 40.0 0.0 180.0 5.52551E-02 2.01570E-04 1.39239E-03 1.59396E-03 2.38835E-04 0.025199 6 4 40.0 45.0 135.0 5.68885E-02 1.98215E-04 1.43087E-03 1.62909E-03 2.34861E-04 0.025152 6 7 40.0 90.0 90.0 6.56453E-02 1.91800E-04 1.66257E-03 1.85437E-03 2.27259E-04 0.025327 5 1 50.0 0.0 180.0 5.49575E-02 2.05651E-04 1.99124E-03 2.19689E-03 2.43671E-04 0.036232 5 4 50.0 45.0 135.0 5.58134E-02 1.99814E-04 2.00568E-03 2.20550E-03 2.36754E-04 0.035936 5 7 50.0 90.0 90.0 6.35471E-02 1.93548E-04 2.26873E-03 2.46227E-03 2.29330E-04 0.035701 4 1 60.0 0.0 180.0 5.76894E-02 2.03385E-04 3.99865E-03 4.20204E-03 2.40986E-04 0.069314 4 4 60.0 45.0 135.0 5.72340E-02 1.96951E-04 3.88353E-03 4.08048E-03 2.33362E-04 0.067854 4 7 60.0 90.0 90.0 6.32612E-02 1.92983E-04 4.20265E-03 4.39563E-03 2.28661E-04 0.066433 3 1 70.0 0.0 180.0 6.66126E-02 1.88666E-04 1.02817E-02 1.04703E-02 2.23546E-04 0.154350 3 4 70.0 45.0 135.0 6.38015E-02 1.84615E-04 9.72932E-03 9.91393E-03 2.18746E-04 0.152494 3 7 70.0 90.0 90.0 6.69401E-02 1.81883E-04 1.00811E-02 1.02630E-02 2.15509E-04 0.150599 2 1 80.0 0.0 180.0 9.14692E-02 1.59507E-04 2.56856E-02 2.58451E-02 1.88997E-04 0.280812 2 4 80.0 45.0 135.0 8.37312E-02 1.56110E-04 2.43364E-02 2.44925E-02 1.84971E-04 0.290649 2 7 80.0 90.0 90.0 8.08762E-02 1.54342E-04 2.44317E-02 2.45861E-02 1.82876E-04 0.302088 1 1 87.5 0.0 180.0 1.29724E-01 1.25428E-04 4.61658E-02 4.62912E-02 1.48617E-04 0.355877 1 4 87.5 45.0 135.0 1.14942E-01 1.17235E-04 4.48467E-02 4.49639E-02 1.38909E-04 0.390168 1 7 87.5 90.0 90.0 1.02696E-01 1.27872E-04 4.38812E-02 4.40091E-02 1.51513E-04 0.427293 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 710.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.918E-03 7.646E-02 8.801E-02 7.335E-02 1.321E-01 2.272E-03 1.791E+01 1.872E-04 2.218E-04 1 0.00 0.00 3.446E-04 1.357E-01 9.195E-04 1.052E-03 2.053E-03 4.249E-04 4.171E+00 3 0.60 0.50 2.488E-04 9.273E-02 5.396E-04 7.094E-04 1.491E-03 5.028E-04 4.079E+00 5 1.23 1.00 1.877E-04 6.325E-02 3.769E-04 4.930E-04 1.025E-03 6.225E-04 3.965E+00 7 1.87 1.50 1.484E-04 4.306E-02 2.723E-04 3.525E-04 7.130E-04 8.082E-04 3.846E+00 9 2.55 2.00 1.227E-04 2.928E-02 2.053E-04 2.609E-04 5.064E-04 1.097E-03 3.744E+00 11 3.27 2.50 1.045E-04 1.989E-02 1.648E-04 2.042E-04 3.757E-04 1.537E-03 3.669E+00 13 4.03 3.00 9.032E-05 1.349E-02 1.358E-04 1.634E-04 2.813E-04 2.187E-03 3.606E+00 15 4.83 3.50 7.872E-05 9.125E-03 1.143E-04 1.330E-04 2.119E-04 3.140E-03 3.555E+00 17 5.67 4.00 6.881E-05 6.154E-03 9.707E-05 1.097E-04 1.614E-04 4.521E-03 3.517E+00 19 6.54 4.50 6.010E-05 4.136E-03 8.334E-05 9.170E-05 1.249E-04 6.493E-03 3.485E+00 21 7.44 5.00 5.246E-05 2.769E-03 7.142E-05 7.683E-05 9.772E-05 9.291E-03 3.456E+00 23 8.35 5.50 4.574E-05 1.847E-03 6.193E-05 6.584E-05 8.030E-05 1.323E-02 3.423E+00 25 9.33 6.00 3.982E-05 1.224E-03 5.341E-05 5.664E-05 6.797E-05 1.876E-02 3.335E+00 27 10.35 6.50 3.571E-05 8.053E-04 4.320E-05 4.536E-05 5.255E-05 2.733E-02 3.153E+00 29 11.37 7.00 3.472E-05 5.271E-04 3.395E-05 3.525E-05 3.940E-05 4.282E-02 2.936E+00 31 12.36 7.50 3.785E-05 3.443E-04 2.671E-05 2.747E-05 2.976E-05 7.434E-02 2.832E+00 34 13.32 8.00 4.638E-05 2.251E-04 3.514E-05 3.538E-05 3.609E-05 1.428E-01 3.142E+00 Waveband 18 of 20 completed in 5.7 sec. * * * * * Output for wavelength band 19 (720.0 to 745.0 nm; nominal wavelength = 732.5 nm) * * * * * Index of refraction at this wavelength is 1.335 RADTRANX clear-sky spectral irradiances averaged over the band from 720.0 nm to 745.0 nm: Ed(diffuse) = 1.827E-01 Ed(direct) = 6.088E-01 Ed(total) = 7.914E-01 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 2.837E-01 Ed(direct) = 4.978E-01 Ed(total) = 7.815E-01 Absorption Coefficients of Individual Components at 732.5 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 1.9639 0.0007 0.0017 0.0010 1.9673 3 1.164 0.500 1.9639 0.0007 0.0015 0.0011 1.9673 5 2.344 1.000 1.9639 0.0008 0.0014 0.0011 1.9673 7 3.549 1.500 1.9639 0.0009 0.0012 0.0012 1.9673 9 4.783 2.000 1.9639 0.0011 0.0011 0.0012 1.9674 11 6.054 2.500 1.9639 0.0012 0.0010 0.0014 1.9677 13 7.367 3.000 1.9639 0.0014 0.0009 0.0017 1.9679 15 8.721 3.500 1.9639 0.0016 0.0008 0.0019 1.9682 17 10.112 4.000 1.9639 0.0017 0.0007 0.0021 1.9685 19 11.532 4.500 1.9639 0.0018 0.0007 0.0024 1.9688 21 12.973 5.000 1.9639 0.0018 0.0006 0.0027 1.9691 23 14.437 5.500 1.9639 0.0018 0.0006 0.0041 1.9704 25 15.956 6.000 1.9639 0.0017 0.0005 0.0079 1.9740 27 17.520 6.500 1.9639 0.0016 0.0005 0.0093 1.9753 29 19.078 7.000 1.9639 0.0014 0.0004 0.0098 1.9756 31 20.611 7.500 1.9639 0.0012 0.0004 0.0101 1.9757 34 22.115 8.000 1.9639 0.0011 0.0003 0.0103 1.9757 Scattering Coefficients of Individual Components at 732.5 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0006 0.2928 0.0000 0.0531 0.3464 3 1.164 0.500 0.0006 0.3186 0.0000 0.0557 0.3749 5 2.344 1.000 0.0006 0.3566 0.0000 0.0584 0.4156 7 3.549 1.500 0.0006 0.4078 0.0000 0.0610 0.4694 9 4.783 2.000 0.0006 0.4707 0.0000 0.0637 0.5350 11 6.054 2.500 0.0006 0.5416 0.0000 0.0743 0.6165 13 7.367 3.000 0.0006 0.6145 0.0000 0.0849 0.7000 15 8.721 3.500 0.0006 0.6823 0.0000 0.0956 0.7785 17 10.112 4.000 0.0006 0.7375 0.0000 0.1062 0.8443 19 11.532 4.500 0.0006 0.7736 0.0000 0.1221 0.8963 21 12.973 5.000 0.0006 0.7862 0.0000 0.1380 0.9248 23 14.437 5.500 0.0006 0.7736 0.0000 0.2123 0.9865 25 15.956 6.000 0.0006 0.7375 0.0000 0.4035 1.1416 27 17.520 6.500 0.0006 0.6823 0.0000 0.4778 1.1607 29 19.078 7.000 0.0006 0.6145 0.0000 0.5043 1.1194 31 20.611 7.500 0.0006 0.5416 0.0000 0.5202 1.0624 34 22.115 8.000 0.0006 0.4707 0.0000 0.5309 1.0021 Backscattering Coefficients of Individual Components at 732.5 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 0.00028 0.00146 0.00000 0.00138 0.00312 3 1.164 0.500 0.00028 0.00159 0.00000 0.00145 0.00332 5 2.344 1.000 0.00028 0.00178 0.00000 0.00152 0.00358 7 3.549 1.500 0.00028 0.00204 0.00000 0.00159 0.00390 9 4.783 2.000 0.00028 0.00235 0.00000 0.00166 0.00429 11 6.054 2.500 0.00028 0.00271 0.00000 0.00193 0.00492 13 7.367 3.000 0.00028 0.00307 0.00000 0.00221 0.00556 15 8.721 3.500 0.00028 0.00341 0.00000 0.00248 0.00617 17 10.112 4.000 0.00028 0.00369 0.00000 0.00276 0.00673 19 11.532 4.500 0.00028 0.00387 0.00000 0.00317 0.00732 21 12.973 5.000 0.00028 0.00393 0.00000 0.00359 0.00780 23 14.437 5.500 0.00028 0.00387 0.00000 0.00552 0.00967 25 15.956 6.000 0.00028 0.00369 0.00000 0.01049 0.01445 27 17.520 6.500 0.00028 0.00341 0.00000 0.01242 0.01611 29 19.078 7.000 0.00028 0.00307 0.00000 0.01311 0.01646 31 20.611 7.500 0.00028 0.00271 0.00000 0.01352 0.01651 34 22.115 8.000 0.00028 0.00235 0.00000 0.01380 0.01643 Summary of Inherent Optical Properties at 732.5 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 1.9673 0.3464 2.3137 0.1497 0.00312 0.00901 3 1.164 0.500 1.9673 0.3749 2.3422 0.1601 0.00332 0.00885 5 2.344 1.000 1.9673 0.4156 2.3829 0.1744 0.00358 0.00861 7 3.549 1.500 1.9673 0.4694 2.4367 0.1926 0.00390 0.00832 9 4.783 2.000 1.9674 0.5350 2.5024 0.2138 0.00429 0.00801 11 6.054 2.500 1.9677 0.6165 2.5841 0.2386 0.00492 0.00798 13 7.367 3.000 1.9679 0.7000 2.6680 0.2624 0.00556 0.00794 15 8.721 3.500 1.9682 0.7785 2.7467 0.2834 0.00617 0.00793 17 10.112 4.000 1.9685 0.8443 2.8128 0.3002 0.00673 0.00797 19 11.532 4.500 1.9688 0.8963 2.8651 0.3128 0.00732 0.00817 21 12.973 5.000 1.9691 0.9248 2.8939 0.3196 0.00780 0.00843 23 14.437 5.500 1.9704 0.9865 2.9570 0.3336 0.00967 0.00980 25 15.956 6.000 1.9740 1.1416 3.1156 0.3664 0.01445 0.01266 27 17.520 6.500 1.9753 1.1607 3.1360 0.3701 0.01611 0.01388 29 19.078 7.000 1.9756 1.1194 3.0950 0.3617 0.01646 0.01470 31 20.611 7.500 1.9757 1.0624 3.0381 0.3497 0.01651 0.01554 34 22.115 8.000 1.9757 1.0021 2.9778 0.3365 0.01643 0.01640 The bottom reflectance at wavelength 732.5 nm is R = 0.614 Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 732.5 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.0210E-01 1.2288E+00 1.3309E+00 3.1424E-02 7.8154E-01 0.3078 0.6360 0.5636 4.0208E-02 1 0.00 0.00 1.2124E-03 8.8197E-01 8.8319E-01 4.5826E-04 7.5052E-01 0.3780 0.8509 0.8493 6.1059E-04 3 1.16 0.50 4.2400E-04 2.7648E-01 2.7690E-01 1.6301E-04 2.3629E-01 0.3845 0.8546 0.8527 6.8986E-04 5 2.34 1.00 1.6125E-04 8.7117E-02 8.7278E-02 6.4172E-05 7.4778E-02 0.3980 0.8584 0.8560 8.5817E-04 7 3.55 1.50 7.1054E-05 2.7603E-02 2.7674E-02 2.9961E-05 2.3780E-02 0.4217 0.8615 0.8582 1.2599E-03 9 4.78 2.00 3.8717E-05 8.7946E-03 8.8333E-03 1.7509E-05 7.5968E-03 0.4522 0.8638 0.8580 2.3048E-03 11 6.05 2.50 2.6191E-05 2.8218E-03 2.8480E-03 1.2497E-05 2.4395E-03 0.4771 0.8645 0.8522 5.1225E-03 13 7.37 3.00 2.0426E-05 9.1655E-04 9.3698E-04 1.0061E-05 7.8993E-04 0.4926 0.8618 0.8323 1.2737E-02 15 8.72 3.50 1.7249E-05 3.0602E-04 3.2327E-04 8.6248E-06 2.6035E-04 0.5000 0.8508 0.7787 3.3127E-02 17 10.11 4.00 1.5110E-05 1.0906E-04 1.2417E-04 7.6003E-06 8.9498E-05 0.5030 0.8206 0.6596 8.4922E-02 19 11.53 4.50 1.3438E-05 4.4730E-05 5.8168E-05 6.7713E-06 3.3926E-05 0.5039 0.7585 0.4668 1.9959E-01 21 12.97 5.00 1.2021E-05 2.3037E-05 3.5058E-05 6.0569E-06 1.5470E-05 0.5039 0.6715 0.2685 3.9153E-01 23 14.44 5.50 1.0764E-05 1.5167E-05 2.5932E-05 5.4134E-06 9.0364E-06 0.5029 0.5958 0.1397 5.9906E-01 25 15.96 6.00 9.5734E-06 1.1806E-05 2.1379E-05 4.7998E-06 6.5184E-06 0.5014 0.5521 0.0804 7.3633E-01 27 17.52 6.50 8.4125E-06 9.9099E-06 1.8322E-05 4.2060E-06 5.2846E-06 0.5000 0.5333 0.0589 7.9589E-01 29 19.08 7.00 7.3102E-06 8.5333E-06 1.5844E-05 3.6391E-06 4.4902E-06 0.4978 0.5262 0.0537 8.1045E-01 31 20.61 7.50 6.1896E-06 7.3997E-06 1.3589E-05 3.0420E-06 3.8755E-06 0.4915 0.5237 0.0613 7.8492E-01 34 22.11 8.00 4.1111E-06 6.3791E-06 1.0490E-05 2.0555E-06 3.3455E-06 0.5000 0.5244 0.1230 6.1443E-01 K-functions (units of 1/meter) at 732.5 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 0.050 0.025 2.16501 2.32443 2.32421 2.12761 2.31561 2.31573 2.08180 0.500 0.550 0.525 2.02701 2.31494 2.31450 1.97660 2.30571 2.30594 1.88560 1.000 1.050 1.025 1.79548 2.30355 2.30260 1.70085 2.29557 2.29609 1.54568 1.500 1.550 1.525 1.42322 2.29265 2.29037 1.28578 2.28632 2.28761 1.09233 2.000 2.050 2.025 0.94497 2.28051 2.27446 0.82104 2.27665 2.28014 0.67325 2.500 2.550 2.525 0.60361 2.26139 2.24550 0.52033 2.26295 2.27233 0.43330 3.000 3.050 3.025 0.39231 2.22697 2.18513 0.34984 2.24107 2.26667 0.31012 3.500 3.550 3.525 0.28850 2.13979 2.03655 0.27055 2.18504 2.25399 0.25624 4.000 4.050 4.025 0.24396 1.94001 1.72576 0.23776 2.05318 2.23032 0.23526 4.500 4.550 4.525 0.22658 1.55531 1.24042 0.22532 1.76837 2.17244 0.22862 5.000 5.050 5.025 0.21895 1.04301 0.75661 0.22139 1.30394 2.03283 0.23069 5.500 5.550 5.525 0.22690 0.61675 0.45399 0.23233 0.81340 1.71433 0.24614 6.000 6.050 6.025 0.25172 0.39172 0.32891 0.25672 0.49282 1.16733 0.26976 6.500 6.550 6.525 0.27244 0.31074 0.29314 0.27810 0.35144 0.64002 0.29539 7.000 7.050 7.025 0.29935 0.28685 0.29262 0.31318 0.30187 0.25357 0.34902 7.500 7.550 7.525 0.41264 0.28279 0.34183 0.45846 0.28744 -0.32455 0.52104 7.950 8.000 7.975 2.18965 0.33042 1.07977 1.49180 0.30761 -1.73752 1.07106 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 732.5 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 7.08044E-02 5.64061E-05 1.60240E-03 1.65881E-03 7.21731E-05 0.022631 9 1 10.0 0.0 180.0 6.10904E-02 5.84236E-05 1.25582E-03 1.31424E-03 7.47545E-05 0.020557 9 4 10.0 45.0 135.0 6.29387E-02 5.78308E-05 1.30329E-03 1.36112E-03 7.39961E-05 0.020707 9 7 10.0 90.0 90.0 6.93819E-02 5.67551E-05 1.51927E-03 1.57603E-03 7.26197E-05 0.021897 8 1 20.0 0.0 180.0 5.63802E-02 5.94165E-05 1.15422E-03 1.21364E-03 7.60251E-05 0.020472 8 4 20.0 45.0 135.0 5.84339E-02 5.83277E-05 1.20339E-03 1.26172E-03 7.46319E-05 0.020594 8 7 20.0 90.0 90.0 6.68815E-02 5.69668E-05 1.41789E-03 1.47485E-03 7.28906E-05 0.021200 7 1 30.0 0.0 180.0 5.31186E-02 6.10204E-05 1.14384E-03 1.20486E-03 7.80773E-05 0.021534 7 4 30.0 45.0 135.0 5.50166E-02 5.99089E-05 1.18701E-03 1.24692E-03 7.66551E-05 0.021575 7 7 30.0 90.0 90.0 6.37625E-02 5.77725E-05 1.39757E-03 1.45534E-03 7.39215E-05 0.021918 6 1 40.0 0.0 180.0 5.11677E-02 6.19872E-05 1.28939E-03 1.35137E-03 7.93144E-05 0.025199 6 4 40.0 45.0 135.0 5.26802E-02 6.06851E-05 1.32503E-03 1.38571E-03 7.76482E-05 0.025152 6 7 40.0 90.0 90.0 6.07893E-02 5.82559E-05 1.53958E-03 1.59784E-03 7.45400E-05 0.025327 5 1 50.0 0.0 180.0 5.08921E-02 6.35749E-05 1.84394E-03 1.90751E-03 8.13459E-05 0.036232 5 4 50.0 45.0 135.0 5.16847E-02 6.14705E-05 1.85732E-03 1.91879E-03 7.86532E-05 0.035936 5 7 50.0 90.0 90.0 5.88463E-02 5.90823E-05 2.10090E-03 2.15998E-03 7.55974E-05 0.035701 4 1 60.0 0.0 180.0 5.34219E-02 6.32072E-05 3.70286E-03 3.76607E-03 8.08754E-05 0.069314 4 4 60.0 45.0 135.0 5.30002E-02 6.08906E-05 3.59625E-03 3.65714E-03 7.79111E-05 0.067854 4 7 60.0 90.0 90.0 5.85815E-02 5.92376E-05 3.89176E-03 3.95100E-03 7.57961E-05 0.066433 3 1 70.0 0.0 180.0 6.16850E-02 5.89842E-05 9.52111E-03 9.58010E-03 7.54719E-05 0.154350 3 4 70.0 45.0 135.0 5.90819E-02 5.74247E-05 9.00961E-03 9.06703E-03 7.34765E-05 0.152494 3 7 70.0 90.0 90.0 6.19883E-02 5.62702E-05 9.33535E-03 9.39162E-03 7.19992E-05 0.150599 2 1 80.0 0.0 180.0 8.47029E-02 5.01405E-05 2.37856E-02 2.38357E-02 6.41561E-05 0.280812 2 4 80.0 45.0 135.0 7.75374E-02 4.88353E-05 2.25361E-02 2.25850E-02 6.24861E-05 0.290649 2 7 80.0 90.0 90.0 7.48935E-02 4.80997E-05 2.26244E-02 2.26725E-02 6.15449E-05 0.302088 1 1 87.5 0.0 180.0 1.20128E-01 3.96529E-05 4.27507E-02 4.27904E-02 5.07370E-05 0.355877 1 4 87.5 45.0 135.0 1.06439E-01 3.68979E-05 4.15292E-02 4.15661E-02 4.72118E-05 0.390168 1 7 87.5 90.0 90.0 9.50991E-02 4.01648E-05 4.06352E-02 4.06753E-02 5.13920E-05 0.427293 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 732.5 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.659E-03 7.080E-02 8.146E-02 6.789E-02 1.223E-01 2.122E-03 1.894E+01 5.641E-05 7.217E-05 1 0.00 0.00 1.038E-04 1.256E-01 4.176E-04 4.478E-04 9.726E-04 1.384E-04 4.413E+00 3 1.16 0.50 3.813E-05 4.852E-02 9.461E-05 1.279E-04 2.805E-04 1.614E-04 4.275E+00 5 2.34 1.00 1.593E-05 1.863E-02 3.434E-05 4.595E-05 9.826E-05 2.131E-04 4.028E+00 7 3.55 1.50 8.128E-06 7.119E-03 1.418E-05 1.827E-05 3.637E-05 3.418E-04 3.686E+00 9 4.78 2.00 5.200E-06 2.710E-03 7.111E-06 8.565E-06 1.486E-05 6.845E-04 3.367E+00 11 6.05 2.50 3.942E-06 1.028E-03 4.503E-06 5.038E-06 7.299E-06 1.616E-03 3.170E+00 13 7.37 3.00 3.276E-06 3.894E-04 3.364E-06 3.558E-06 4.356E-06 4.148E-03 3.071E+00 15 8.72 3.50 2.846E-06 1.478E-04 2.780E-06 2.849E-06 3.124E-06 1.093E-02 3.030E+00 17 10.11 4.00 2.518E-06 5.679E-05 2.414E-06 2.438E-06 2.530E-06 2.814E-02 3.018E+00 19 11.53 4.50 2.243E-06 2.262E-05 2.141E-06 2.149E-06 2.180E-06 6.612E-02 3.019E+00 21 12.97 5.00 2.001E-06 9.777E-06 1.915E-06 1.918E-06 1.928E-06 1.293E-01 3.027E+00 23 14.44 5.50 1.778E-06 4.885E-06 1.722E-06 1.723E-06 1.727E-06 1.968E-01 3.045E+00 25 15.96 6.00 1.565E-06 2.945E-06 1.544E-06 1.545E-06 1.546E-06 2.401E-01 3.067E+00 27 17.52 6.50 1.361E-06 2.104E-06 1.367E-06 1.367E-06 1.368E-06 2.576E-01 3.090E+00 29 19.08 7.00 1.163E-06 1.674E-06 1.199E-06 1.199E-06 1.199E-06 2.590E-01 3.129E+00 31 20.61 7.50 9.482E-07 1.403E-06 1.045E-06 1.045E-06 1.045E-06 2.447E-01 3.208E+00 34 22.11 8.00 6.543E-07 1.199E-06 7.726E-07 7.726E-07 7.727E-07 1.956E-01 3.142E+00 Waveband 19 of 20 completed in 10.1 sec. * * * * * Output for wavelength band 20 (745.0 to 785.0 nm; nominal wavelength = 765.0 nm) * * * * * Index of refraction at this wavelength is 1.334 RADTRANX clear-sky spectral irradiances averaged over the band from 745.0 nm to 785.0 nm: Ed(diffuse) = 1.698E-01 Ed(direct) = 5.932E-01 Ed(total) = 7.630E-01 Spectral irradiances after adjusting for cloud cover: Ed(diffuse) = 2.735E-01 Ed(direct) = 4.800E-01 Ed(total) = 7.535E-01 Absorption Coefficients of Individual Components at 765.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 2.5472 0.0000 0.0011 0.0010 2.5493 3 1.447 0.500 2.5472 0.0000 0.0010 0.0011 2.5492 5 2.910 1.000 2.5472 0.0000 0.0009 0.0011 2.5492 7 4.395 1.500 2.5472 0.0000 0.0008 0.0012 2.5491 9 5.910 2.000 2.5472 0.0000 0.0007 0.0012 2.5491 11 7.459 2.500 2.5472 0.0000 0.0006 0.0014 2.5493 13 9.049 3.000 2.5472 0.0000 0.0006 0.0016 2.5494 15 10.677 3.500 2.5472 0.0000 0.0005 0.0018 2.5495 17 12.341 4.000 2.5472 0.0000 0.0005 0.0020 2.5497 19 14.033 4.500 2.5472 0.0000 0.0004 0.0023 2.5500 21 15.744 5.000 2.5472 0.0000 0.0004 0.0026 2.5502 23 17.478 5.500 2.5472 0.0000 0.0004 0.0041 2.5516 25 19.266 6.000 2.5472 0.0000 0.0003 0.0077 2.5552 27 21.097 6.500 2.5472 0.0000 0.0003 0.0091 2.5566 29 22.924 7.000 2.5472 0.0000 0.0003 0.0096 2.5571 31 24.727 7.500 2.5472 0.0000 0.0002 0.0099 2.5574 34 26.503 8.000 2.5472 0.0000 0.0002 0.0101 2.5575 Scattering Coefficients of Individual Components at 765.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0005 0.2794 0.0000 0.0515 0.3314 3 1.447 0.500 0.0005 0.3040 0.0000 0.0541 0.3586 5 2.910 1.000 0.0005 0.3403 0.0000 0.0567 0.3975 7 4.395 1.500 0.0005 0.3892 0.0000 0.0593 0.4489 9 5.910 2.000 0.0005 0.4492 0.0000 0.0618 0.5115 11 7.459 2.500 0.0005 0.5168 0.0000 0.0722 0.5894 13 9.049 3.000 0.0005 0.5864 0.0000 0.0825 0.6694 15 10.677 3.500 0.0005 0.6511 0.0000 0.0928 0.7444 17 12.341 4.000 0.0005 0.7038 0.0000 0.1031 0.8074 19 14.033 4.500 0.0005 0.7383 0.0000 0.1185 0.8573 21 15.744 5.000 0.0005 0.7503 0.0000 0.1340 0.8847 23 17.478 5.500 0.0005 0.7383 0.0000 0.2062 0.9449 25 19.266 6.000 0.0005 0.7038 0.0000 0.3917 1.0960 27 21.097 6.500 0.0005 0.6511 0.0000 0.4639 1.1155 29 22.924 7.000 0.0005 0.5864 0.0000 0.4896 1.0765 31 24.727 7.500 0.0005 0.5168 0.0000 0.5051 1.0224 34 26.503 8.000 0.0005 0.4492 0.0000 0.5154 0.9651 Backscattering Coefficients of Individual Components at 765.0 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 0.00023 0.00140 0.00000 0.00131 0.00294 3 1.447 0.500 0.00023 0.00152 0.00000 0.00138 0.00313 5 2.910 1.000 0.00023 0.00170 0.00000 0.00144 0.00337 7 4.395 1.500 0.00023 0.00195 0.00000 0.00151 0.00368 9 5.910 2.000 0.00023 0.00225 0.00000 0.00157 0.00405 11 7.459 2.500 0.00023 0.00258 0.00000 0.00184 0.00465 13 9.049 3.000 0.00023 0.00293 0.00000 0.00210 0.00526 15 10.677 3.500 0.00023 0.00326 0.00000 0.00236 0.00585 17 12.341 4.000 0.00023 0.00352 0.00000 0.00262 0.00637 19 14.033 4.500 0.00023 0.00369 0.00000 0.00302 0.00694 21 15.744 5.000 0.00023 0.00375 0.00000 0.00341 0.00739 23 17.478 5.500 0.00023 0.00369 0.00000 0.00524 0.00917 25 19.266 6.000 0.00023 0.00352 0.00000 0.00996 0.01371 27 21.097 6.500 0.00023 0.00326 0.00000 0.01180 0.01528 29 22.924 7.000 0.00023 0.00293 0.00000 0.01245 0.01562 31 24.727 7.500 0.00023 0.00258 0.00000 0.01285 0.01566 34 26.503 8.000 0.00023 0.00225 0.00000 0.01311 0.01559 Summary of Inherent Optical Properties at 765.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 2.5493 0.3314 2.8807 0.1150 0.00294 0.00887 3 1.447 0.500 2.5492 0.3586 2.9078 0.1233 0.00313 0.00872 5 2.910 1.000 2.5492 0.3975 2.9467 0.1349 0.00337 0.00849 7 4.395 1.500 2.5491 0.4489 2.9980 0.1497 0.00368 0.00821 9 5.910 2.000 2.5491 0.5115 3.0606 0.1671 0.00405 0.00792 11 7.459 2.500 2.5493 0.5894 3.1387 0.1878 0.00465 0.00789 13 9.049 3.000 2.5494 0.6694 3.2188 0.2080 0.00526 0.00786 15 10.677 3.500 2.5495 0.7444 3.2939 0.2260 0.00585 0.00785 17 12.341 4.000 2.5497 0.8074 3.3571 0.2405 0.00637 0.00789 19 14.033 4.500 2.5500 0.8573 3.4072 0.2516 0.00694 0.00809 21 15.744 5.000 2.5502 0.8847 3.4349 0.2576 0.00739 0.00835 23 17.478 5.500 2.5516 0.9449 3.4965 0.2702 0.00917 0.00970 25 19.266 6.000 2.5552 1.0960 3.6512 0.3002 0.01371 0.01251 27 21.097 6.500 2.5566 1.1155 3.6721 0.3038 0.01528 0.01370 29 22.924 7.000 2.5571 1.0765 3.6336 0.2963 0.01562 0.01451 31 24.727 7.500 2.5574 1.0224 3.5797 0.2856 0.01566 0.01532 34 26.503 8.000 2.5575 0.9651 3.5226 0.2740 0.01559 0.01615 The bottom reflectance at wavelength 765.0 nm is R = 0.646 Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 765.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 9.8126E-02 1.1847E+00 1.2828E+00 3.0137E-02 7.5349E-01 0.3071 0.6360 0.5639 3.9996E-02 1 0.00 0.00 8.4394E-04 8.5042E-01 8.5126E-01 3.1679E-04 7.2363E-01 0.3754 0.8509 0.8497 4.3778E-04 3 1.45 0.50 2.1091E-04 1.8942E-01 1.8964E-01 8.1012E-05 1.6234E-01 0.3841 0.8570 0.8557 4.9901E-04 5 2.91 1.00 6.0886E-05 4.2665E-02 4.2726E-02 2.4649E-05 3.6791E-02 0.4048 0.8623 0.8605 6.6998E-04 7 4.40 1.50 2.3354E-05 9.7066E-03 9.7299E-03 1.0318E-05 8.4110E-03 0.4418 0.8665 0.8634 1.2267E-03 9 5.91 2.00 1.2924E-05 2.2314E-03 2.2443E-03 6.1790E-06 1.9397E-03 0.4781 0.8693 0.8615 3.1855E-03 11 7.46 2.50 9.2951E-06 5.2152E-04 5.3081E-04 4.6183E-06 4.5282E-04 0.4969 0.8683 0.8444 1.0199E-02 13 9.05 3.00 7.4742E-06 1.2694E-04 1.3442E-04 3.7660E-06 1.0858E-04 0.5039 0.8553 0.7798 3.4686E-02 15 10.68 3.50 6.2513E-06 3.4718E-05 4.0969E-05 3.1626E-06 2.8109E-05 0.5059 0.8096 0.6089 1.1251E-01 17 12.34 4.00 5.2916E-06 1.2493E-05 1.7785E-05 2.6791E-06 8.9080E-06 0.5063 0.7130 0.3502 3.0076E-01 19 14.03 4.50 4.4971E-06 6.6417E-06 1.1139E-05 2.2764E-06 4.0527E-06 0.5062 0.6102 0.1595 5.6170E-01 21 15.74 5.00 3.8320E-06 4.7176E-06 8.5496E-06 1.9387E-06 2.6172E-06 0.5059 0.5548 0.0794 7.4075E-01 23 17.48 5.50 3.2724E-06 3.8037E-06 7.0761E-06 1.6529E-06 2.0328E-06 0.5051 0.5344 0.0537 8.1311E-01 25 19.27 6.00 2.7847E-06 3.1935E-06 5.9781E-06 1.4029E-06 1.6850E-06 0.5038 0.5276 0.0472 8.3258E-01 27 21.10 6.50 2.3481E-06 2.6944E-06 5.0425E-06 1.1806E-06 1.4161E-06 0.5028 0.5256 0.0467 8.3367E-01 29 22.92 7.00 1.9684E-06 2.2658E-06 4.2342E-06 9.8738E-07 1.1894E-06 0.5016 0.5249 0.0477 8.3017E-01 31 24.73 7.50 1.6281E-06 1.9035E-06 3.5316E-06 8.0951E-07 9.9839E-07 0.4972 0.5245 0.0535 8.1082E-01 34 26.50 8.00 1.0819E-06 1.5965E-06 2.6784E-06 5.4096E-07 8.3797E-07 0.5000 0.5249 0.1109 6.4557E-01 K-functions (units of 1/meter) at 765.0 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 0.050 0.025 2.86769 3.01493 3.01478 2.81882 2.99865 2.99873 2.75939 0.500 0.550 0.525 2.65293 2.99099 2.99061 2.58132 2.97752 2.97772 2.45070 1.000 1.050 1.025 2.22274 2.96982 2.96874 2.07282 2.95895 2.95956 1.83601 1.500 1.550 1.525 1.50817 2.95045 2.94686 1.32352 2.94219 2.94426 1.08904 2.000 2.050 2.025 0.82884 2.92573 2.91300 0.71955 2.92252 2.92996 0.60372 2.500 2.550 2.525 0.50354 2.87643 2.83237 0.45936 2.88880 2.91544 0.41784 3.000 3.050 3.025 0.37975 2.73619 2.59761 0.36586 2.79760 2.89072 0.35501 3.500 3.550 3.525 0.34101 2.35121 2.03111 0.33741 2.53568 2.83244 0.33652 4.000 4.050 4.025 0.32838 1.61597 1.22413 0.32826 1.93687 2.67065 0.33058 4.500 4.550 4.525 0.32266 0.88262 0.65466 0.32344 1.14210 2.24275 0.32723 5.000 5.050 5.025 0.31629 0.50431 0.41982 0.31839 0.61828 1.50076 0.32588 5.500 5.550 5.525 0.31802 0.36864 0.34521 0.32270 0.40824 0.78470 0.33465 6.000 6.050 6.025 0.33715 0.33531 0.33617 0.34131 0.34869 0.38545 0.35132 6.500 6.550 6.525 0.35020 0.34169 0.34565 0.35337 0.34579 0.30785 0.36403 7.000 7.050 7.025 0.35987 0.34813 0.35359 0.36770 0.35007 0.26416 0.39406 7.500 7.550 7.525 0.43247 0.34760 0.38668 0.47092 0.34910 -0.16476 0.54520 7.950 8.000 7.975 2.19421 0.37258 1.12850 1.60328 0.35752 -2.13244 1.24834 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 765.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 6.82636E-02 3.86848E-05 1.53633E-03 1.57502E-03 5.13406E-05 0.022506 9 1 10.0 0.0 180.0 5.88982E-02 4.00825E-05 1.20404E-03 1.24412E-03 5.31955E-05 0.020443 9 4 10.0 45.0 135.0 6.06802E-02 3.96777E-05 1.24955E-03 1.28923E-03 5.26582E-05 0.020592 9 7 10.0 90.0 90.0 6.68922E-02 3.89347E-05 1.45664E-03 1.49557E-03 5.16722E-05 0.021776 8 1 20.0 0.0 180.0 5.43571E-02 4.07733E-05 1.10667E-03 1.14744E-03 5.41123E-05 0.020359 8 4 20.0 45.0 135.0 5.63371E-02 4.00267E-05 1.15381E-03 1.19383E-03 5.31215E-05 0.020480 8 7 20.0 90.0 90.0 6.44815E-02 3.90906E-05 1.35947E-03 1.39856E-03 5.18791E-05 0.021083 7 1 30.0 0.0 180.0 5.12125E-02 4.18965E-05 1.09685E-03 1.13874E-03 5.56030E-05 0.021418 7 4 30.0 45.0 135.0 5.30424E-02 4.11236E-05 1.13824E-03 1.17936E-03 5.45773E-05 0.021459 7 7 30.0 90.0 90.0 6.14744E-02 3.96532E-05 1.34014E-03 1.37980E-03 5.26258E-05 0.021800 6 1 40.0 0.0 180.0 4.93316E-02 4.25847E-05 1.23687E-03 1.27946E-03 5.65164E-05 0.025073 6 4 40.0 45.0 135.0 5.07898E-02 4.16912E-05 1.27105E-03 1.31274E-03 5.53306E-05 0.025026 6 7 40.0 90.0 90.0 5.86079E-02 4.00315E-05 1.47686E-03 1.51689E-03 5.31279E-05 0.025199 5 1 50.0 0.0 180.0 4.90659E-02 4.37160E-05 1.77028E-03 1.81399E-03 5.80178E-05 0.036080 5 4 50.0 45.0 135.0 4.98300E-02 4.22610E-05 1.78309E-03 1.82535E-03 5.60867E-05 0.035783 5 7 50.0 90.0 90.0 5.67347E-02 4.06280E-05 2.01689E-03 2.05752E-03 5.39195E-05 0.035549 4 1 60.0 0.0 180.0 5.15049E-02 4.35050E-05 3.55918E-03 3.60269E-03 5.77377E-05 0.069104 4 4 60.0 45.0 135.0 5.10984E-02 4.18988E-05 3.45660E-03 3.49850E-03 5.56061E-05 0.067646 4 7 60.0 90.0 90.0 5.64794E-02 4.07929E-05 3.74047E-03 3.78127E-03 5.41384E-05 0.066227 3 1 70.0 0.0 180.0 5.94715E-02 4.06249E-05 9.16188E-03 9.20251E-03 5.39154E-05 0.154055 3 4 70.0 45.0 135.0 5.69617E-02 3.95530E-05 8.66948E-03 8.70903E-03 5.24929E-05 0.152198 3 7 70.0 90.0 90.0 5.97639E-02 3.87953E-05 8.98254E-03 9.02133E-03 5.14872E-05 0.150300 2 1 80.0 0.0 180.0 8.16634E-02 3.45638E-05 2.29063E-02 2.29409E-02 4.58714E-05 0.280497 2 4 80.0 45.0 135.0 7.47550E-02 3.36787E-05 2.17029E-02 2.17366E-02 4.46967E-05 0.290321 2 7 80.0 90.0 90.0 7.22060E-02 3.32087E-05 2.17874E-02 2.18206E-02 4.40730E-05 0.301740 1 1 87.5 0.0 180.0 1.15817E-01 2.73644E-05 4.11883E-02 4.12157E-02 3.63167E-05 0.355632 1 4 87.5 45.0 135.0 1.02620E-01 2.54959E-05 4.00117E-02 4.00372E-02 3.38369E-05 0.389902 1 7 87.5 90.0 90.0 9.16865E-02 2.78026E-05 3.91498E-02 3.91776E-02 3.68983E-05 0.426996 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 765.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.575E-03 6.826E-02 7.852E-02 6.543E-02 1.179E-01 2.090E-03 1.913E+01 3.868E-05 5.134E-05 1 0.00 0.00 7.110E-05 1.209E-01 3.351E-04 3.485E-04 7.836E-04 9.826E-05 4.456E+00 3 1.45 0.50 1.898E-05 3.480E-02 4.694E-05 6.376E-05 1.406E-04 1.169E-04 4.269E+00 5 2.91 1.00 6.317E-06 9.945E-03 1.271E-05 1.688E-05 3.557E-05 1.717E-04 3.902E+00 7 4.40 1.50 2.997E-06 2.825E-03 4.427E-06 5.476E-06 1.007E-05 3.563E-04 3.443E+00 9 5.91 2.00 1.968E-06 7.991E-04 2.218E-06 2.484E-06 3.623E-06 1.014E-03 3.140E+00 11 7.46 2.50 1.529E-06 2.256E-04 1.513E-06 1.583E-06 1.875E-06 3.377E-03 3.021E+00 13 9.05 3.00 1.262E-06 6.401E-05 1.191E-06 1.210E-06 1.283E-06 1.163E-02 2.983E+00 15 10.68 3.50 1.063E-06 1.866E-05 9.905E-07 9.952E-07 1.013E-06 3.781E-02 2.976E+00 17 12.34 4.00 8.999E-07 5.920E-06 8.376E-07 8.388E-07 8.432E-07 1.010E-01 2.977E+00 19 14.03 4.50 7.635E-07 2.284E-06 7.122E-07 7.124E-07 7.135E-07 1.884E-01 2.982E+00 21 15.74 5.00 6.486E-07 1.188E-06 6.072E-07 6.073E-07 6.075E-07 2.478E-01 2.989E+00 23 17.48 5.50 5.504E-07 8.044E-07 5.200E-07 5.201E-07 5.201E-07 2.707E-01 3.003E+00 25 19.27 6.00 4.642E-07 6.272E-07 4.455E-07 4.455E-07 4.455E-07 2.755E-01 3.022E+00 27 21.10 6.50 3.886E-07 5.151E-07 3.776E-07 3.776E-07 3.776E-07 2.744E-01 3.038E+00 29 22.92 7.00 3.224E-07 4.290E-07 3.179E-07 3.179E-07 3.179E-07 2.711E-01 3.063E+00 31 24.73 7.50 2.584E-07 3.588E-07 2.675E-07 2.675E-07 2.675E-07 2.588E-01 3.133E+00 34 26.50 8.00 1.722E-07 3.007E-07 1.979E-07 1.979E-07 1.979E-07 2.055E-01 3.142E+00 Waveband 20 of 20 completed in 13.1 sec. Energy Eo as a function of depth and wavelength Units are W/m^2 [values are integrated over the wavelength bands] depth 412.0 427.5 443.0 459.0 472.5 490.0 510.0 527.5 540.0 555.0 572.5 590.0 610.0 630.0 650.0 670.0 690.0 710.0 732.5 765.0 in air 3.187E+01 1.685E+01 3.699E+01 2.428E+01 3.092E+01 4.049E+01 3.946E+01 2.984E+01 2.002E+01 3.959E+01 2.917E+01 3.715E+01 3.680E+01 3.586E+01 3.387E+01 3.425E+01 3.054E+01 2.876E+01 3.327E+01 5.131E+01 0.0 2.230E+01 1.185E+01 2.619E+01 1.735E+01 2.229E+01 2.948E+01 2.871E+01 2.180E+01 1.469E+01 2.894E+01 2.114E+01 2.582E+01 2.491E+01 2.420E+01 2.277E+01 2.298E+01 2.051E+01 1.916E+01 2.208E+01 3.405E+01 0.5 2.001E+01 1.079E+01 2.412E+01 1.617E+01 2.095E+01 2.795E+01 2.724E+01 2.073E+01 1.400E+01 2.753E+01 2.004E+01 2.364E+01 2.114E+01 2.020E+01 1.846E+01 1.748E+01 1.504E+01 1.172E+01 6.923E+00 7.585E+00 1.0 1.803E+01 9.840E+00 2.224E+01 1.508E+01 1.970E+01 2.651E+01 2.586E+01 1.973E+01 1.336E+01 2.623E+01 1.902E+01 2.162E+01 1.790E+01 1.681E+01 1.492E+01 1.324E+01 1.100E+01 7.155E+00 2.182E+00 1.709E+00 1.5 1.627E+01 8.976E+00 2.047E+01 1.404E+01 1.849E+01 2.509E+01 2.450E+01 1.875E+01 1.273E+01 2.497E+01 1.803E+01 1.974E+01 1.512E+01 1.396E+01 1.202E+01 9.999E+00 8.041E+00 4.366E+00 6.918E-01 3.892E-01 2.0 1.470E+01 8.175E+00 1.880E+01 1.303E+01 1.731E+01 2.368E+01 2.316E+01 1.780E+01 1.211E+01 2.374E+01 1.709E+01 1.800E+01 1.275E+01 1.156E+01 9.656E+00 7.526E+00 5.878E+00 2.665E+00 2.208E-01 8.977E-02 2.5 1.325E+01 7.423E+00 1.720E+01 1.204E+01 1.613E+01 2.227E+01 2.183E+01 1.684E+01 1.151E+01 2.255E+01 1.617E+01 1.638E+01 1.073E+01 9.544E+00 7.736E+00 5.647E+00 4.299E+00 1.628E+00 7.120E-02 2.123E-02 3.0 1.191E+01 6.706E+00 1.564E+01 1.106E+01 1.495E+01 2.083E+01 2.048E+01 1.589E+01 1.090E+01 2.136E+01 1.528E+01 1.488E+01 9.003E+00 7.857E+00 6.175E+00 4.220E+00 3.147E+00 9.956E-01 2.342E-02 5.377E-03 3.5 1.066E+01 6.022E+00 1.412E+01 1.010E+01 1.376E+01 1.937E+01 1.912E+01 1.493E+01 1.028E+01 2.018E+01 1.440E+01 1.347E+01 7.531E+00 6.444E+00 4.910E+00 3.142E+00 2.307E+00 6.102E-01 8.082E-03 1.639E-03 4.0 9.497E+00 5.379E+00 1.268E+01 9.167E+00 1.260E+01 1.792E+01 1.777E+01 1.397E+01 9.672E+00 1.902E+01 1.354E+01 1.217E+01 6.281E+00 5.267E+00 3.889E+00 2.331E+00 1.694E+00 3.754E-01 3.104E-03 7.114E-04 4.5 8.435E+00 4.785E+00 1.133E+01 8.283E+00 1.149E+01 1.651E+01 1.645E+01 1.304E+01 9.074E+00 1.788E+01 1.271E+01 1.097E+01 5.226E+00 4.294E+00 3.072E+00 1.726E+00 1.248E+00 2.324E-01 1.454E-03 4.456E-04 5.0 7.480E+00 4.248E+00 1.011E+01 7.469E+00 1.045E+01 1.518E+01 1.521E+01 1.215E+01 8.502E+00 1.680E+01 1.192E+01 9.887E+00 4.346E+00 3.497E+00 2.423E+00 1.278E+00 9.231E-01 1.452E-01 8.765E-04 3.420E-04 5.5 6.618E+00 3.766E+00 9.004E+00 6.729E+00 9.498E+00 1.395E+01 1.405E+01 1.131E+01 7.962E+00 1.578E+01 1.119E+01 8.927E+00 3.622E+00 2.854E+00 1.915E+00 9.487E-01 6.861E-01 9.197E-02 6.483E-04 2.830E-04 6.0 5.759E+00 3.291E+00 7.927E+00 5.997E+00 8.543E+00 1.269E+01 1.287E+01 1.045E+01 7.406E+00 1.473E+01 1.045E+01 8.044E+00 3.016E+00 2.329E+00 1.514E+00 7.051E-01 5.111E-01 5.905E-02 5.345E-04 2.391E-04 6.5 4.887E+00 2.810E+00 6.827E+00 5.233E+00 7.530E+00 1.132E+01 1.158E+01 9.498E+00 6.776E+00 1.354E+01 9.622E+00 7.157E+00 2.484E+00 1.882E+00 1.186E+00 5.205E-01 3.786E-01 3.829E-02 4.581E-04 2.017E-04 7.0 4.102E+00 2.374E+00 5.819E+00 4.517E+00 6.563E+00 9.989E+00 1.029E+01 8.534E+00 6.132E+00 1.232E+01 8.764E+00 6.309E+00 2.032E+00 1.513E+00 9.251E-01 3.832E-01 2.801E-01 2.537E-02 3.961E-04 1.694E-04 7.5 3.421E+00 1.994E+00 4.927E+00 3.868E+00 5.672E+00 8.732E+00 9.068E+00 7.601E+00 5.500E+00 1.110E+01 7.913E+00 5.539E+00 1.665E+00 1.219E+00 7.253E-01 2.835E-01 2.091E-01 1.771E-02 3.397E-04 1.413E-04 8.0 2.772E+00 1.627E+00 4.044E+00 3.207E+00 4.743E+00 7.385E+00 7.751E+00 6.589E+00 4.806E+00 9.766E+00 6.986E+00 4.810E+00 1.375E+00 9.947E-01 5.791E-01 2.127E-01 1.614E-01 1.482E-02 2.623E-04 1.071E-04 Quantum Eo as a function of depth and wavelength Units are (micromol photons)/(m^2 s) [values are integrated over the wavelength bands] depth 412.0 427.5 443.0 459.0 472.5 490.0 510.0 527.5 540.0 555.0 572.5 590.0 610.0 630.0 650.0 670.0 690.0 710.0 732.5 765.0 in air 1.097E+02 6.019E+01 1.370E+02 9.316E+01 1.221E+02 1.658E+02 1.682E+02 1.316E+02 9.036E+01 1.836E+02 1.396E+02 1.832E+02 1.876E+02 1.888E+02 1.840E+02 1.918E+02 1.761E+02 1.707E+02 2.037E+02 3.281E+02 0.0 7.678E+01 4.235E+01 9.697E+01 6.656E+01 8.802E+01 1.207E+02 1.224E+02 9.609E+01 6.630E+01 1.342E+02 1.012E+02 1.273E+02 1.270E+02 1.274E+02 1.237E+02 1.287E+02 1.183E+02 1.137E+02 1.352E+02 2.177E+02 0.5 6.891E+01 3.855E+01 8.931E+01 6.203E+01 8.274E+01 1.145E+02 1.161E+02 9.140E+01 6.319E+01 1.277E+02 9.590E+01 1.166E+02 1.078E+02 1.064E+02 1.003E+02 9.787E+01 8.672E+01 6.955E+01 4.238E+01 4.850E+01 1.0 6.208E+01 3.516E+01 8.233E+01 5.784E+01 7.781E+01 1.086E+02 1.102E+02 8.698E+01 6.028E+01 1.217E+02 9.099E+01 1.066E+02 9.127E+01 8.854E+01 8.103E+01 7.415E+01 6.344E+01 4.246E+01 1.336E+01 1.093E+01 1.5 5.604E+01 3.207E+01 7.581E+01 5.384E+01 7.304E+01 1.028E+02 1.044E+02 8.269E+01 5.745E+01 1.158E+02 8.628E+01 9.733E+01 7.711E+01 7.349E+01 6.529E+01 5.599E+01 4.637E+01 2.591E+01 4.236E+00 2.488E+00 2.0 5.060E+01 2.921E+01 6.962E+01 4.998E+01 6.835E+01 9.699E+01 9.873E+01 7.846E+01 5.467E+01 1.101E+02 8.176E+01 8.874E+01 6.501E+01 6.085E+01 5.246E+01 4.215E+01 3.390E+01 1.581E+01 1.352E+00 5.740E-01 2.5 4.564E+01 2.652E+01 6.368E+01 4.620E+01 6.370E+01 9.120E+01 9.303E+01 7.426E+01 5.193E+01 1.046E+02 7.739E+01 8.078E+01 5.470E+01 5.026E+01 4.203E+01 3.162E+01 2.479E+01 9.661E+00 4.359E-01 1.358E-01 3.0 4.101E+01 2.396E+01 5.789E+01 4.245E+01 5.902E+01 8.530E+01 8.728E+01 7.004E+01 4.917E+01 9.909E+01 7.311E+01 7.336E+01 4.590E+01 4.137E+01 3.355E+01 2.363E+01 1.815E+01 5.908E+00 1.434E-01 3.438E-02 3.5 3.670E+01 2.152E+01 5.229E+01 3.875E+01 5.435E+01 7.933E+01 8.148E+01 6.580E+01 4.641E+01 9.363E+01 6.891E+01 6.643E+01 3.840E+01 3.393E+01 2.667E+01 1.759E+01 1.330E+01 3.621E+00 4.948E-02 1.048E-02 4.0 3.270E+01 1.922E+01 4.694E+01 3.517E+01 4.976E+01 7.339E+01 7.573E+01 6.159E+01 4.365E+01 8.823E+01 6.480E+01 6.001E+01 3.202E+01 2.774E+01 2.113E+01 1.306E+01 9.772E+00 2.228E+00 1.901E-02 4.549E-03 4.5 2.905E+01 1.710E+01 4.195E+01 3.178E+01 4.536E+01 6.762E+01 7.013E+01 5.747E+01 4.095E+01 8.296E+01 6.082E+01 5.410E+01 2.665E+01 2.261E+01 1.669E+01 9.668E+00 7.199E+00 1.379E+00 8.903E-03 2.849E-03 5.0 2.576E+01 1.518E+01 3.742E+01 2.865E+01 4.127E+01 6.218E+01 6.483E+01 5.355E+01 3.837E+01 7.792E+01 5.704E+01 4.876E+01 2.216E+01 1.841E+01 1.316E+01 7.157E+00 5.323E+00 8.617E-01 5.366E-03 2.187E-03 5.5 2.279E+01 1.346E+01 3.334E+01 2.581E+01 3.751E+01 5.712E+01 5.989E+01 4.986E+01 3.594E+01 7.319E+01 5.353E+01 4.402E+01 1.846E+01 1.503E+01 1.040E+01 5.313E+00 3.957E+00 5.457E-01 3.969E-03 1.810E-03 6.0 1.983E+01 1.176E+01 2.935E+01 2.301E+01 3.374E+01 5.195E+01 5.484E+01 4.609E+01 3.342E+01 6.834E+01 5.001E+01 3.967E+01 1.538E+01 1.227E+01 8.223E+00 3.949E+00 2.948E+00 3.504E-01 3.272E-03 1.529E-03 6.5 1.683E+01 1.004E+01 2.528E+01 2.008E+01 2.974E+01 4.637E+01 4.934E+01 4.187E+01 3.058E+01 6.283E+01 4.604E+01 3.529E+01 1.266E+01 9.909E+00 6.441E+00 2.915E+00 2.183E+00 2.272E-01 2.804E-03 1.290E-03 7.0 1.412E+01 8.484E+00 2.155E+01 1.733E+01 2.592E+01 4.091E+01 4.387E+01 3.763E+01 2.768E+01 5.713E+01 4.193E+01 3.111E+01 1.036E+01 7.965E+00 5.026E+00 2.146E+00 1.616E+00 1.506E-01 2.425E-03 1.083E-03 7.5 1.178E+01 7.125E+00 1.824E+01 1.484E+01 2.240E+01 3.576E+01 3.865E+01 3.351E+01 2.482E+01 5.149E+01 3.787E+01 2.731E+01 8.490E+00 6.420E+00 3.940E+00 1.588E+00 1.206E+00 1.051E-01 2.080E-03 9.032E-04 8.0 9.547E+00 5.812E+00 1.497E+01 1.230E+01 1.873E+01 3.024E+01 3.304E+01 2.905E+01 2.169E+01 4.530E+01 3.343E+01 2.372E+01 7.012E+00 5.238E+00 3.146E+00 1.191E+00 9.305E-01 8.796E-02 1.606E-03 6.850E-04 PAR was not calculated for this run (PAR is meaningful only for runs covering the near-UV and visible spectrum) PAR range currently set to 400.0 to 700.0 nm CIE chromaticity coordinates and Secchi depth are not computed since the run did not cover at least 400-700 nm. Run completed on 12/03/2009 at 16:27:15.9 Total (wall clock) run time = 93.4 sec