======================================================== | | | HYDROLIGHT Version 5.1.0 (MAIN CODE) | | Copyright (c) 2008 by Curtis D. Mobley | | | | This copy of HE5 is licensed solely to | | Student Version for Maine 2011 Summer Class | | | | S/N Maine_500_31July2011 | | | | THIS PROGRAM IS EXPERIMENTAL AND IS LICENSED "AS IS" | | WITHOUT REPRESENTATION OF WARRANTY OF ANY KIND, | | EITHER EXPRESS OR IMPLIED. THE ENTIRE RISK AS TO | | THE QUALITY AND PERFORMANCE OF HYDROLIGHT IS WITH | | THE USER. HYDROLIGHT IS NOT FAULT TOLERANT. | | | ======================================================== RUN TITLE: lab 2 - iop from ac9 ex 1c 60z (07/20/2011 16:15) Run started on 07/20/2011 at 16:15:34.3 The radiance distribution is computed on the following (Theta,Phi,Depth,Wavelength) grid: I Theta Mu J Phi K zeta z L Lambda (deg) (deg) (m) (nm) 1 87.500 0.0436 1 0.00 1 0.000 1 405.00 2 80.000 0.1730 2 15.00 2 0.010 2 415.00 3 70.000 0.3407 3 30.00 3 5.000 3 425.00 4 60.000 0.4981 4 45.00 4 5.010 4 435.00 5 50.000 0.6403 5 60.00 5 10.000 5 445.00 6 40.000 0.7631 6 75.00 6 10.010 6 455.00 7 30.000 0.8627 7 90.00 7 15.000 7 465.00 8 20.000 0.9361 8 105.00 8 15.010 8 475.00 9 10.000 0.9811 9 120.00 9 20.000 9 485.00 10 0.000 0.9981 10 135.00 10 20.010 10 495.00 11 150.00 11 25.000 11 505.00 12 165.00 12 25.010 12 515.00 13 180.00 13 30.000 13 525.00 14 195.00 14 30.010 14 535.00 15 210.00 15 35.000 15 545.00 16 225.00 16 35.010 16 555.00 17 240.00 17 40.000 17 565.00 18 255.00 18 40.010 18 575.00 19 270.00 19 45.000 19 585.00 20 285.00 20 45.010 20 595.00 21 300.00 21 50.000 21 605.00 22 315.00 22 50.010 22 615.00 23 330.00 23 625.00 24 345.00 24 635.00 25 645.00 26 655.00 27 665.00 28 675.00 29 685.00 30 695.00 ***** BEGIN IOP MODEL SPECIFICATIONS ***** The IOP routine "abNewCase1" is being used: Absorption and scattering coefficients for case 1 water (Morel et al. bio-optical models) are used. component 1 is pure water component 2 is small particles component 3 is large particles component 4 is CDOM Pure water a and b values are obtained from the file: ..\data\H2OabDefaults.txt (Linear interpolation is used to define values at all wavelengths) The data file header records from ..\data\H2OabDefaults.txt are: Default "pure water" absorption (a) and scattering (b) coefficients. Based on: 200-300 nm: R.C. Smith and K. Baker, 1981. Appl. Optics 20(2), 177-184. 191 records read The phase function for component 1 comes from a file titled pure sea water (Rayleigh-like phase function); standard quad partition; 7 Sept 98 The Chlorophyll concentration is obtained from measured values read from the file: C:\HE5\data\user\fernanda_Chlzdata.txt (Linear interpolation is used to define Chl(z) at all depths) The data file header records from C:\HE5\data\user\fernanda_Chlzdata.txt are: Example "chlzdata" file showing the Hydrolight "Chlorophyll-data standard format" These files are read by Hydrolight subroutine "chlzdata" on file ..\maincode\chlzdata.f 11 records read The phase function for component 2 comes from a file titled Morel Small Particle Case 1 phase function; (Jul 2004) The chlorophyll values at the requested output depths are: depth Chl (m) (mg/m^3) 0.000 0.500 5.000 0.700 10.000 2.100 15.000 2.400 20.000 1.400 25.000 1.000 30.000 0.800 35.000 0.700 40.000 0.400 45.000 0.400 50.000 0.200 chlorophyll AE filename: ..\data\AE_midUVabs.txt ***** END IOP MODEL SPECIFICATIONS ***** ***** BEGIN INELASTIC SCATTER AND INTERNAL SOURCE SPECIFICATIONS ***** Chlorophyll fluorescence is included in this run Chl fluorescent quantum efficiency set to 0.020 CDOM fluorescence is included in this run Raman scattering is included in this run Raman scattering cross-section set to 2.40E-04 m-1 at reference wavelength 488.0 nm ***** END INELASTIC SCATTER AND INTERNAL SOURCE SPECIFICATIONS ***** ***** BEGIN ATMOSPHERIC MODEL SPECIFICATIONS ***** Normalized sky radiances are computed using sky model "HCNRAD" (Harrison and Coombes Normalized RADiances) The cloud fraction is cloud = 0.0 (0 for a clear sky to 1 for a heavy overcast) The sun is placed in quad Q(r,s) = Q( 4, 1) centered at (theta, phi) = (60.000, 0.000) Diffuse and Direct Sky irradiances are computed using the "RADTRANX" (RADTRAN eXtended for 300-1000 nm) model The RADTRAN clear-sky irradiances are adjusted for cloudiness by the model of Kasten and Czeplak Parameter values used in the RADTRANX model: Solar zenith angle = 60.0 degrees Pressure = 29.9 in. mercury Day of year = not set (mean earth-sun distance used) Air mass type = 1.0 Relative Humidity = 80.0 % Precipitable water = 2.5 cm 24-hr wind speed = 5.0 m/sec Current wind speed = 5.0 m/sec Visibility = 15.0 km Total ozone = 300.0 Dobson units Irradiances are computed just above the sea surface Aerosol optical thickness at 550 nm = 0.261 ***** END ATMOSPHERIC MODEL SPECIFICATIONS ***** ***** BEGIN AIR-WATER SURFACE SPECIFICATIONS ***** The air-water surface is for a wind speed of 5.0 m/s Index of refraction is constant for all wavelengths with the value: 1.340 ***** END AIR-WATER SURFACE SPECIFICATIONS ***** ***** BEGIN BOTTOM BOUNDARY SPECIFICATIONS ***** The bottom boundary is an infinitely deep, homogeneous water body below depth 50.00 m The actual depth at which the infinitely deep bottom boundary condition will be applied will be determined dynamically from the IOPs to insure a good solution at the requested output depths ***** END BOTTOM BOUNDARY SPECIFICATIONS ***** ***** WARNING MESSAGES FOR INPUT DATA FILES ***** NUMBER OF FILES WITH WARNINGS: 1 Data file: C:\HE5\data\user\fernanda_Chlzdata.txt does not extend over the full range of depths and wavelengths selected for this run. For depths greater than 50.0 m the value at 50.0 m will be used HYDROLIGHT/ECOLIGHT OUTPUTS MAY BE UNPHYSICAL OR INACCURATE FOR DEPTHS AND WAVELENGTHS OUTSIDE THE RANGE OF THE INPUT DATA. ***** END WARNING MESSAGES FOR INPUT DATA FILES ***** Initialization of Hydrolight Completed in 0.1 sec. * * * * * Output for wavelength band 1 (400.0 to 410.0 nm; nominal wavelength = 405.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 174.0 m at 405.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 400.0 nm to 410.0 nm: Ed(diffuse) = 3.084E-01 Ed(direct) = 2.389E-01 Ed(total) = 5.473E-01 Absorption Coefficients of Individual Components at 405.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0053 0.0276 0.0000 0.0109 0.0438 3 1.802 5.000 0.0053 0.0349 0.0000 0.0135 0.0537 5 4.979 10.000 0.0053 0.0749 0.0000 0.0272 0.1074 7 9.447 15.000 0.0053 0.0822 0.0000 0.0296 0.1171 9 13.399 20.000 0.0053 0.0565 0.0000 0.0210 0.0828 11 16.281 25.000 0.0053 0.0447 0.0000 0.0170 0.0670 13 18.653 30.000 0.0053 0.0383 0.0000 0.0147 0.0583 15 20.749 35.000 0.0053 0.0349 0.0000 0.0135 0.0537 17 22.446 40.000 0.0053 0.0236 0.0000 0.0095 0.0384 19 23.822 45.000 0.0053 0.0236 0.0000 0.0095 0.0384 21 24.954 50.000 0.0053 0.0146 0.0000 0.0061 0.0260 Scattering Coefficients of Individual Components at 405.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0072 0.1319 0.1363 0.0000 0.2754 3 1.802 5.000 0.0072 0.1563 0.1831 0.0000 0.3465 5 4.979 10.000 0.0072 0.2634 0.4710 0.0000 0.7416 7 9.447 15.000 0.0072 0.2816 0.5318 0.0000 0.8206 9 13.399 20.000 0.0072 0.2184 0.3327 0.0000 0.5583 11 16.281 25.000 0.0072 0.1862 0.2493 0.0000 0.4427 13 18.653 30.000 0.0072 0.1670 0.2056 0.0000 0.3798 15 20.749 35.000 0.0072 0.1563 0.1831 0.0000 0.3465 17 22.446 40.000 0.0072 0.1176 0.1118 0.0000 0.2366 19 23.822 45.000 0.0072 0.1176 0.1118 0.0000 0.2366 21 24.954 50.000 0.0072 0.0815 0.0598 0.0000 0.1485 Backscattering Coefficients of Individual Components at 405.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00359 0.00185 0.00024 0.00000 0.00568 3 1.802 5.000 0.00359 0.00219 0.00032 0.00000 0.00610 5 4.979 10.000 0.00359 0.00369 0.00083 0.00000 0.00811 7 9.447 15.000 0.00359 0.00395 0.00094 0.00000 0.00847 9 13.399 20.000 0.00359 0.00306 0.00059 0.00000 0.00724 11 16.281 25.000 0.00359 0.00261 0.00044 0.00000 0.00664 13 18.653 30.000 0.00359 0.00234 0.00036 0.00000 0.00629 15 20.749 35.000 0.00359 0.00219 0.00032 0.00000 0.00610 17 22.446 40.000 0.00359 0.00165 0.00020 0.00000 0.00544 19 23.822 45.000 0.00359 0.00165 0.00020 0.00000 0.00544 21 24.954 50.000 0.00359 0.00114 0.00011 0.00000 0.00484 Summary of Inherent Optical Properties at 405.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0438 0.2754 0.3192 0.8627 0.00568 0.02062 3 1.802 5.000 0.0537 0.3465 0.4003 0.8658 0.00610 0.01761 5 4.979 10.000 0.1074 0.7416 0.8489 0.8735 0.00811 0.01094 7 9.447 15.000 0.1171 0.8206 0.9377 0.8751 0.00847 0.01033 9 13.399 20.000 0.0828 0.5583 0.6411 0.8708 0.00724 0.01296 11 16.281 25.000 0.0670 0.4427 0.5097 0.8686 0.00664 0.01500 13 18.653 30.000 0.0583 0.3798 0.4381 0.8669 0.00629 0.01657 15 20.749 35.000 0.0537 0.3465 0.4003 0.8658 0.00610 0.01761 17 22.446 40.000 0.0384 0.2366 0.2750 0.8603 0.00544 0.02297 19 23.822 45.000 0.0384 0.2366 0.2750 0.8603 0.00544 0.02297 21 24.954 50.000 0.0260 0.1485 0.1745 0.8510 0.00484 0.03258 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4767E-01 8 20.00 8.2067E-01 7 30.00 6.5294E-01 6 40.00 4.8350E-01 5 50.00 3.3923E-01 4 60.00 2.3047E-01 3 70.00 1.5531E-01 2 80.00 1.0666E-01 1 87.50 8.1661E-02 1 92.50 6.8084E-02 2 100.00 5.4658E-02 3 110.00 4.3143E-02 4 120.00 3.5796E-02 5 130.00 3.1157E-02 6 140.00 2.8230E-02 7 150.00 2.6404E-02 8 160.00 2.5305E-02 9 170.00 2.4717E-02 10 180.00 2.4506E-02 Asymptotic AOP values are MUu(inf) = 0.4095 MUd(inf) = 0.7008 MU(inf) = 0.5792 R(inf) = 0.0719 Lu(inf)/Ed(inf) = 0.017207 (1/sr) k(inf) = 0.0449 (1/m) absorp(check) = 0.0260 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 405.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.2754E-01 1.3068E+00 1.5344E+00 5.5774E-02 5.4727E-01 0.2451 0.4188 0.3203 1.0191E-01 1 0.00 0.00 6.2336E-02 7.0893E-01 7.7127E-01 2.5014E-02 5.1651E-01 0.4013 0.7286 0.6373 4.8429E-02 3 1.80 5.00 4.3761E-02 5.0899E-01 5.5275E-01 1.5952E-02 3.4565E-01 0.3645 0.6791 0.5965 4.6150E-02 5 4.98 10.00 2.1019E-02 2.5774E-01 2.7876E-01 7.3629E-03 1.7207E-01 0.3503 0.6676 0.5908 4.2791E-02 7 9.45 15.00 8.0850E-03 9.8613E-02 1.0670E-01 2.8920E-03 6.7141E-02 0.3577 0.6809 0.6022 4.3073E-02 9 13.40 20.00 3.7372E-03 4.2491E-02 4.6228E-02 1.3901E-03 2.9391E-02 0.3720 0.6917 0.6057 4.7295E-02 11 16.28 25.00 2.1149E-03 2.2796E-02 2.4911E-02 8.0490E-04 1.5875E-02 0.3806 0.6964 0.6050 5.0701E-02 13 18.65 30.00 1.3179E-03 1.3566E-02 1.4884E-02 5.1173E-04 9.4802E-03 0.3883 0.6988 0.6026 5.3978E-02 15 20.75 35.00 8.8208E-04 8.5346E-03 9.4166E-03 3.5096E-04 5.9754E-03 0.3979 0.7001 0.5973 5.8734E-02 17 22.45 40.00 6.4560E-04 5.8116E-03 6.4572E-03 2.6063E-04 4.0683E-03 0.4037 0.7000 0.5897 6.4063E-02 19 23.82 45.00 4.9120E-04 4.2091E-03 4.7003E-03 2.0110E-04 2.9465E-03 0.4094 0.7000 0.5841 6.8251E-02 21 24.95 50.00 3.9344E-04 3.1996E-03 3.5931E-03 1.6104E-04 2.2372E-03 0.4093 0.6992 0.5778 7.1982E-02 K-functions (units of 1/meter) at 405.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.05523 0.05416 0.05425 0.06921 0.06882 0.06880 0.09436 5.000 5.010 5.005 0.10424 0.08338 0.08503 0.11733 0.09142 0.09017 0.13467 10.000 10.010 10.005 0.18412 0.18374 0.18377 0.18524 0.18191 0.18176 0.18169 15.000 15.010 15.005 0.18793 0.19823 0.19745 0.17828 0.19368 0.19437 0.15851 20.000 20.010 20.005 0.12729 0.13782 0.13697 0.12205 0.13599 0.13668 0.11196 25.000 25.010 25.005 0.10234 0.11097 0.11024 0.09843 0.11007 0.11070 0.09062 30.000 30.010 30.005 0.08746 0.09651 0.09571 0.08321 0.09603 0.09676 0.07540 35.000 35.010 35.005 0.07106 0.08875 0.08709 0.06638 0.08853 0.08991 0.06023 40.000 40.010 40.005 0.05811 0.06440 0.06377 0.05574 0.06455 0.06515 0.05243 45.000 45.010 45.005 0.04851 0.06443 0.06277 0.04661 0.06445 0.06576 0.04555 50.000 50.010 50.005 0.04452 0.04469 0.04467 0.04485 0.04499 0.04500 0.04499 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 405.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 3.24049E-02 2.82878E-03 7.39219E-04 3.56799E-03 5.16884E-03 0.022812 9 1 10.0 0.0 180.0 2.86664E-02 2.90974E-03 6.35359E-04 3.54510E-03 5.31679E-03 0.022164 9 4 10.0 45.0 135.0 2.95340E-02 2.88717E-03 6.57128E-04 3.54430E-03 5.27554E-03 0.022250 9 7 10.0 90.0 90.0 3.25249E-02 2.86296E-03 7.38964E-04 3.60193E-03 5.23131E-03 0.022720 8 1 20.0 0.0 180.0 2.80103E-02 2.98321E-03 6.22126E-04 3.60533E-03 5.45102E-03 0.022211 8 4 20.0 45.0 135.0 2.88981E-02 2.93303E-03 6.43087E-04 3.57612E-03 5.35934E-03 0.022254 8 7 20.0 90.0 90.0 3.32154E-02 2.89814E-03 7.51772E-04 3.64991E-03 5.29558E-03 0.022633 7 1 30.0 0.0 180.0 2.93934E-02 3.08117E-03 6.93934E-04 3.77511E-03 5.63003E-03 0.023608 7 4 30.0 45.0 135.0 2.98340E-02 3.04491E-03 7.02011E-04 3.74692E-03 5.56378E-03 0.023531 7 7 30.0 90.0 90.0 3.46316E-02 2.98250E-03 8.20508E-04 3.80301E-03 5.44974E-03 0.023692 6 1 40.0 0.0 180.0 3.33058E-02 3.19685E-03 9.47559E-04 4.14441E-03 5.84141E-03 0.028450 6 4 40.0 45.0 135.0 3.27685E-02 3.14117E-03 9.20986E-04 4.06215E-03 5.73965E-03 0.028106 6 7 40.0 90.0 90.0 3.72112E-02 3.07072E-03 1.04012E-03 4.11084E-03 5.61093E-03 0.027952 5 1 50.0 0.0 180.0 4.08206E-02 3.32587E-03 1.76567E-03 5.09154E-03 6.07715E-03 0.043254 5 4 50.0 45.0 135.0 3.85935E-02 3.23924E-03 1.64545E-03 4.88469E-03 5.91885E-03 0.042636 5 7 50.0 90.0 90.0 4.17407E-02 3.16915E-03 1.72395E-03 4.89310E-03 5.79079E-03 0.041301 4 1 60.0 0.0 180.0 5.42953E-02 3.36613E-03 4.51804E-03 7.88417E-03 6.15071E-03 0.083212 4 4 60.0 45.0 135.0 4.92843E-02 3.26318E-03 4.02606E-03 7.28924E-03 5.96260E-03 0.081690 4 7 60.0 90.0 90.0 4.97731E-02 3.23167E-03 3.92758E-03 7.15925E-03 5.90502E-03 0.078910 3 1 70.0 0.0 180.0 7.96010E-02 3.21223E-03 1.29001E-02 1.61124E-02 5.86950E-03 0.162060 3 4 70.0 45.0 135.0 6.97337E-02 3.13759E-03 1.13181E-02 1.44557E-02 5.73312E-03 0.162305 3 7 70.0 90.0 90.0 6.53037E-02 3.11183E-03 1.05227E-02 1.36345E-02 5.68605E-03 0.161135 2 1 80.0 0.0 180.0 1.34792E-01 2.82046E-03 3.23551E-02 3.51756E-02 5.15364E-03 0.240038 2 4 80.0 45.0 135.0 1.15044E-01 2.74107E-03 2.87025E-02 3.14436E-02 5.00859E-03 0.249492 2 7 80.0 90.0 90.0 9.99548E-02 2.72152E-03 2.60248E-02 2.87463E-02 4.97285E-03 0.260365 1 1 87.5 0.0 180.0 2.10941E-01 2.32404E-03 5.72124E-02 5.95364E-02 4.24657E-03 0.271225 1 4 87.5 45.0 135.0 1.77781E-01 2.14373E-03 5.22530E-02 5.43967E-02 3.91711E-03 0.293917 1 7 87.5 90.0 90.0 1.46980E-01 2.35890E-03 4.64410E-02 4.87999E-02 4.31026E-03 0.315969 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 405.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 3.568E-03 3.240E-02 1.352E-01 9.789E-02 6.976E-01 6.520E-03 1.563E+01 2.829E-03 5.169E-03 1 0.00 0.00 5.244E-03 5.856E-02 1.316E-02 1.387E-02 3.242E-02 1.015E-02 4.770E+00 3 1.80 5.00 2.981E-03 6.392E-02 9.676E-03 1.174E-02 3.220E-02 8.624E-03 5.352E+00 5 4.98 10.00 1.320E-03 5.537E-02 4.715E-03 6.584E-03 1.709E-02 7.671E-03 5.578E+00 7 9.45 15.00 5.511E-04 3.246E-02 1.993E-03 2.800E-03 5.390E-03 8.208E-03 5.248E+00 9 13.40 20.00 2.850E-04 1.696E-02 9.915E-04 1.293E-03 1.974E-03 9.697E-03 4.877E+00 11 16.28 25.00 1.725E-04 9.850E-03 5.860E-04 7.217E-04 9.738E-04 1.086E-02 4.667E+00 13 18.65 30.00 1.140E-04 6.112E-03 3.725E-04 4.402E-04 5.511E-04 1.202E-02 4.489E+00 15 20.75 35.00 8.116E-05 3.943E-03 2.470E-04 2.828E-04 3.365E-04 1.358E-02 4.324E+00 17 22.45 40.00 6.154E-05 2.721E-03 1.803E-04 2.005E-04 2.291E-04 1.513E-02 4.235E+00 19 23.82 45.00 4.812E-05 1.988E-03 1.348E-04 1.475E-04 1.647E-04 1.633E-02 4.179E+00 21 24.95 50.00 3.851E-05 1.519E-03 1.090E-04 1.170E-04 1.276E-04 1.721E-02 4.182E+00 Waveband 1 of 30 completed in 7.6 sec. * * * * * Output for wavelength band 2 (410.0 to 420.0 nm; nominal wavelength = 415.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 174.0 m at 415.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 410.0 nm to 420.0 nm: Ed(diffuse) = 3.185E-01 Ed(direct) = 2.670E-01 Ed(total) = 5.854E-01 Absorption Coefficients of Individual Components at 415.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0044 0.0301 0.0000 0.0095 0.0441 3 1.791 5.000 0.0044 0.0379 0.0000 0.0118 0.0541 5 4.962 10.000 0.0044 0.0800 0.0000 0.0236 0.1081 7 9.430 15.000 0.0044 0.0876 0.0000 0.0257 0.1178 9 13.380 20.000 0.0044 0.0607 0.0000 0.0183 0.0834 11 16.255 25.000 0.0044 0.0483 0.0000 0.0148 0.0675 13 18.617 30.000 0.0044 0.0415 0.0000 0.0128 0.0587 15 20.703 35.000 0.0044 0.0379 0.0000 0.0118 0.0541 17 22.388 40.000 0.0044 0.0259 0.0000 0.0082 0.0386 19 23.751 45.000 0.0044 0.0259 0.0000 0.0082 0.0386 21 24.870 50.000 0.0044 0.0162 0.0000 0.0053 0.0259 Scattering Coefficients of Individual Components at 415.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0065 0.1309 0.1353 0.0000 0.2727 3 1.791 5.000 0.0065 0.1555 0.1820 0.0000 0.3440 5 4.962 10.000 0.0065 0.2634 0.4710 0.0000 0.7408 7 9.430 15.000 0.0065 0.2816 0.5318 0.0000 0.8199 9 13.380 20.000 0.0065 0.2180 0.3321 0.0000 0.5566 11 16.255 25.000 0.0065 0.1855 0.2484 0.0000 0.4404 13 18.617 30.000 0.0065 0.1662 0.2046 0.0000 0.3773 15 20.703 35.000 0.0065 0.1555 0.1820 0.0000 0.3440 17 22.388 40.000 0.0065 0.1166 0.1109 0.0000 0.2340 19 23.751 45.000 0.0065 0.1166 0.1109 0.0000 0.2340 21 24.870 50.000 0.0065 0.0805 0.0590 0.0000 0.1460 Backscattering Coefficients of Individual Components at 415.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00323 0.00184 0.00024 0.00000 0.00530 3 1.791 5.000 0.00323 0.00218 0.00032 0.00000 0.00573 5 4.962 10.000 0.00323 0.00369 0.00083 0.00000 0.00775 7 9.430 15.000 0.00323 0.00395 0.00094 0.00000 0.00812 9 13.380 20.000 0.00323 0.00306 0.00058 0.00000 0.00687 11 16.255 25.000 0.00323 0.00260 0.00044 0.00000 0.00627 13 18.617 30.000 0.00323 0.00233 0.00036 0.00000 0.00592 15 20.703 35.000 0.00323 0.00218 0.00032 0.00000 0.00573 17 22.388 40.000 0.00323 0.00163 0.00020 0.00000 0.00506 19 23.751 45.000 0.00323 0.00163 0.00020 0.00000 0.00506 21 24.870 50.000 0.00323 0.00113 0.00010 0.00000 0.00446 Summary of Inherent Optical Properties at 415.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0441 0.2727 0.3168 0.8608 0.00530 0.01945 3 1.791 5.000 0.0541 0.3440 0.3981 0.8641 0.00573 0.01666 5 4.962 10.000 0.1081 0.7408 0.8489 0.8727 0.00775 0.01046 7 9.430 15.000 0.1178 0.8199 0.9377 0.8744 0.00812 0.00990 9 13.380 20.000 0.0834 0.5566 0.6400 0.8696 0.00687 0.01235 11 16.255 25.000 0.0675 0.4404 0.5079 0.8671 0.00627 0.01423 13 18.617 30.000 0.0587 0.3773 0.4360 0.8653 0.00592 0.01569 15 20.703 35.000 0.0541 0.3440 0.3981 0.8641 0.00573 0.01666 17 22.388 40.000 0.0386 0.2340 0.2725 0.8584 0.00506 0.02163 19 23.751 45.000 0.0386 0.2340 0.2725 0.8584 0.00506 0.02163 21 24.870 50.000 0.0259 0.1460 0.1720 0.8493 0.00446 0.03057 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4727E-01 8 20.00 8.1936E-01 7 30.00 6.5056E-01 6 40.00 4.8026E-01 5 50.00 3.3552E-01 4 60.00 2.2668E-01 3 70.00 1.5170E-01 2 80.00 1.0337E-01 1 87.50 7.8619E-02 1 92.50 6.5222E-02 2 100.00 5.2022E-02 3 110.00 4.0755E-02 4 120.00 3.3604E-02 5 130.00 2.9111E-02 6 140.00 2.6289E-02 7 150.00 2.4533E-02 8 160.00 2.3481E-02 9 170.00 2.2919E-02 10 180.00 2.2717E-02 Asymptotic AOP values are MUu(inf) = 0.4066 MUd(inf) = 0.7031 MU(inf) = 0.5868 R(inf) = 0.0677 Lu(inf)/Ed(inf) = 0.016054 (1/sr) k(inf) = 0.0442 (1/m) absorp(check) = 0.0259 = k(inf)*MU(inf) The CDOM absorption at each wavelength is constant with depth with a value of 0.00 (1/m) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 415.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.3983E-01 1.3902E+00 1.6301E+00 5.8799E-02 5.8544E-01 0.2452 0.4211 0.3231 1.0044E-01 1 0.00 0.00 6.3574E-02 7.5646E-01 8.2004E-01 2.5391E-02 5.5203E-01 0.3994 0.7297 0.6422 4.5996E-02 3 1.79 5.00 4.5173E-02 5.4356E-01 5.8873E-01 1.6371E-02 3.6969E-01 0.3624 0.6801 0.6001 4.4283E-02 5 4.96 10.00 2.1910E-02 2.7519E-01 2.9710E-01 7.6175E-03 1.8381E-01 0.3477 0.6679 0.5930 4.1442E-02 7 9.43 15.00 8.3949E-03 1.0504E-01 1.1343E-01 2.9759E-03 7.1551E-02 0.3545 0.6812 0.6045 4.1592E-02 9 13.38 20.00 3.8391E-03 4.5142E-02 4.8981E-02 1.4145E-03 3.1257E-02 0.3685 0.6924 0.6093 4.5255E-02 11 16.25 25.00 2.1591E-03 2.4180E-02 2.6339E-02 8.1414E-04 1.6865E-02 0.3771 0.6975 0.6094 4.8274E-02 13 18.62 30.00 1.3407E-03 1.4380E-02 1.5721E-02 5.1583E-04 1.0069E-02 0.3848 0.7002 0.6077 5.1231E-02 15 20.70 35.00 8.9473E-04 9.0471E-03 9.9418E-03 3.5285E-04 6.3482E-03 0.3944 0.7017 0.6030 5.5582E-02 17 22.39 40.00 6.5378E-04 6.1654E-03 6.8192E-03 2.6179E-04 4.3270E-03 0.4004 0.7018 0.5961 6.0502E-02 19 23.75 45.00 4.9782E-04 4.4729E-03 4.9708E-03 2.0223E-04 3.1397E-03 0.4062 0.7019 0.5910 6.4410E-02 21 24.87 50.00 3.9944E-04 3.4084E-03 3.8078E-03 1.6228E-04 2.3902E-03 0.4063 0.7013 0.5851 6.7895E-02 K-functions (units of 1/meter) at 415.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.05278 0.05378 0.05370 0.06726 0.06861 0.06868 0.09302 5.000 5.010 5.005 0.10119 0.08319 0.08457 0.11451 0.09134 0.09027 0.13254 10.000 10.010 10.005 0.18401 0.18405 0.18405 0.18542 0.18237 0.18223 0.18230 15.000 15.010 15.005 0.18999 0.19875 0.19810 0.18068 0.19415 0.19473 0.16090 20.000 20.010 20.005 0.12880 0.13826 0.13752 0.12354 0.13630 0.13690 0.11317 25.000 25.010 25.005 0.10321 0.11118 0.11052 0.09926 0.11019 0.11074 0.09122 30.000 30.010 30.005 0.08801 0.09656 0.09583 0.08372 0.09601 0.09667 0.07570 35.000 35.010 35.005 0.07175 0.08871 0.08718 0.06694 0.08843 0.08970 0.06041 40.000 40.010 40.005 0.05791 0.06408 0.06349 0.05548 0.06418 0.06474 0.05203 45.000 45.010 45.005 0.04844 0.06408 0.06252 0.04644 0.06407 0.06529 0.04518 50.000 50.010 50.005 0.04385 0.04402 0.04400 0.04417 0.04429 0.04430 0.04430 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 415.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 3.34588E-02 2.83955E-03 7.63262E-04 3.60281E-03 4.85028E-03 0.022812 9 1 10.0 0.0 180.0 2.95987E-02 2.91700E-03 6.56023E-04 3.57303E-03 4.98258E-03 0.022164 9 4 10.0 45.0 135.0 3.04945E-02 2.89550E-03 6.78500E-04 3.57400E-03 4.94586E-03 0.022250 9 7 10.0 90.0 90.0 3.35828E-02 2.87441E-03 7.62998E-04 3.63741E-03 4.90984E-03 0.022720 8 1 20.0 0.0 180.0 2.89213E-02 2.98927E-03 6.42360E-04 3.63163E-03 5.10603E-03 0.022211 8 4 20.0 45.0 135.0 2.98380E-02 2.94073E-03 6.64003E-04 3.60473E-03 5.02311E-03 0.022254 8 7 20.0 90.0 90.0 3.42957E-02 2.91101E-03 7.76222E-04 3.68723E-03 4.97235E-03 0.022633 7 1 30.0 0.0 180.0 3.03494E-02 3.08664E-03 7.16503E-04 3.80315E-03 5.27235E-03 0.023608 7 4 30.0 45.0 135.0 3.08043E-02 3.05262E-03 7.24843E-04 3.77746E-03 5.21424E-03 0.023531 7 7 30.0 90.0 90.0 3.57580E-02 2.99751E-03 8.47194E-04 3.84470E-03 5.12009E-03 0.023692 6 1 40.0 0.0 180.0 3.43890E-02 3.20233E-03 9.78377E-04 4.18070E-03 5.46995E-03 0.028450 6 4 40.0 45.0 135.0 3.38342E-02 3.14949E-03 9.50940E-04 4.10043E-03 5.37970E-03 0.028106 6 7 40.0 90.0 90.0 3.84214E-02 3.08932E-03 1.07395E-03 4.16326E-03 5.27692E-03 0.027952 5 1 50.0 0.0 180.0 4.21482E-02 3.33190E-03 1.82310E-03 5.15500E-03 5.69128E-03 0.043254 5 4 50.0 45.0 135.0 3.98487E-02 3.24862E-03 1.69897E-03 4.94759E-03 5.54903E-03 0.042636 5 7 50.0 90.0 90.0 4.30982E-02 3.19167E-03 1.78002E-03 4.97168E-03 5.45175E-03 0.041301 4 1 60.0 0.0 180.0 5.60612E-02 3.37272E-03 4.66498E-03 8.03770E-03 5.76100E-03 0.083212 4 4 60.0 45.0 135.0 5.08878E-02 3.27357E-03 4.15701E-03 7.43057E-03 5.59163E-03 0.081690 4 7 60.0 90.0 90.0 5.13887E-02 3.25806E-03 4.05530E-03 7.31336E-03 5.56515E-03 0.078914 3 1 70.0 0.0 180.0 8.21899E-02 3.21923E-03 1.33197E-02 1.65389E-02 5.49882E-03 0.162060 3 4 70.0 45.0 135.0 7.20017E-02 3.14873E-03 1.16862E-02 1.48349E-02 5.37840E-03 0.162305 3 7 70.0 90.0 90.0 6.74277E-02 3.14099E-03 1.08649E-02 1.40059E-02 5.36518E-03 0.161134 2 1 80.0 0.0 180.0 1.39176E-01 2.82722E-03 3.34074E-02 3.62347E-02 4.82922E-03 0.240038 2 4 80.0 45.0 135.0 1.18786E-01 2.75176E-03 2.96360E-02 3.23878E-02 4.70032E-03 0.249492 2 7 80.0 90.0 90.0 1.03206E-01 2.74988E-03 2.68711E-02 2.96210E-02 4.69711E-03 0.260365 1 1 87.5 0.0 180.0 2.17801E-01 2.33014E-03 5.90731E-02 6.14033E-02 3.98015E-03 0.271225 1 4 87.5 45.0 135.0 1.83564E-01 2.15281E-03 5.39525E-02 5.61053E-02 3.67725E-03 0.293917 1 7 87.5 90.0 90.0 1.51760E-01 2.38585E-03 4.79513E-02 5.03372E-02 4.07531E-03 0.315968 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 415.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 3.603E-03 3.346E-02 1.396E-01 1.010E-01 7.396E-01 6.154E-03 1.632E+01 2.840E-03 4.850E-03 1 0.00 0.00 5.264E-03 6.046E-02 1.322E-02 1.410E-02 3.428E-02 9.535E-03 4.824E+00 3 1.79 5.00 3.017E-03 6.664E-02 9.799E-03 1.207E-02 3.429E-02 8.160E-03 5.427E+00 5 4.96 10.00 1.342E-03 5.833E-02 4.834E-03 6.870E-03 1.835E-02 7.302E-03 5.676E+00 7 9.43 15.00 5.565E-04 3.441E-02 2.054E-03 2.933E-03 5.767E-03 7.777E-03 5.348E+00 9 13.38 20.00 2.850E-04 1.801E-02 1.019E-03 1.348E-03 2.092E-03 9.118E-03 4.963E+00 11 16.25 25.00 1.717E-04 1.047E-02 6.009E-04 7.489E-04 1.025E-03 1.018E-02 4.743E+00 13 18.62 30.00 1.132E-04 6.504E-03 3.817E-04 4.557E-04 5.773E-04 1.124E-02 4.557E+00 15 20.70 35.00 8.050E-05 4.201E-03 2.530E-04 2.923E-04 3.514E-04 1.268E-02 4.383E+00 17 22.39 40.00 6.107E-05 2.904E-03 1.845E-04 2.068E-04 2.385E-04 1.411E-02 4.287E+00 19 23.75 45.00 4.785E-05 2.127E-03 1.382E-04 1.523E-04 1.714E-04 1.524E-02 4.226E+00 21 24.87 50.00 3.839E-05 1.630E-03 1.120E-04 1.210E-04 1.329E-04 1.606E-02 4.227E+00 Waveband 2 of 30 completed in 7.2 sec. * * * * * Output for wavelength band 3 (420.0 to 430.0 nm; nominal wavelength = 425.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 174.0 m at 425.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 420.0 nm to 430.0 nm: Ed(diffuse) = 2.979E-01 Ed(direct) = 2.674E-01 Ed(total) = 5.653E-01 Absorption Coefficients of Individual Components at 425.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0048 0.0316 0.0000 0.0083 0.0447 3 1.780 5.000 0.0048 0.0395 0.0000 0.0102 0.0545 5 4.942 10.000 0.0048 0.0813 0.0000 0.0206 0.1066 7 9.398 15.000 0.0048 0.0887 0.0000 0.0224 0.1159 9 13.337 20.000 0.0048 0.0623 0.0000 0.0159 0.0829 11 16.201 25.000 0.0048 0.0499 0.0000 0.0128 0.0675 13 18.552 30.000 0.0048 0.0431 0.0000 0.0111 0.0590 15 20.628 35.000 0.0048 0.0395 0.0000 0.0102 0.0545 17 22.303 40.000 0.0048 0.0273 0.0000 0.0072 0.0393 19 23.657 45.000 0.0048 0.0273 0.0000 0.0072 0.0393 21 24.768 50.000 0.0048 0.0173 0.0000 0.0046 0.0267 Scattering Coefficients of Individual Components at 425.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0058 0.1300 0.1343 0.0000 0.2702 3 1.780 5.000 0.0058 0.1546 0.1811 0.0000 0.3415 5 4.942 10.000 0.0058 0.2634 0.4710 0.0000 0.7402 7 9.398 15.000 0.0058 0.2816 0.5318 0.0000 0.8193 9 13.337 20.000 0.0058 0.2176 0.3315 0.0000 0.5549 11 16.201 25.000 0.0058 0.1849 0.2476 0.0000 0.4382 13 18.552 30.000 0.0058 0.1654 0.2036 0.0000 0.3749 15 20.628 35.000 0.0058 0.1546 0.1811 0.0000 0.3415 17 22.303 40.000 0.0058 0.1156 0.1100 0.0000 0.2314 19 23.657 45.000 0.0058 0.1156 0.1100 0.0000 0.2314 21 24.768 50.000 0.0058 0.0796 0.0584 0.0000 0.1437 Backscattering Coefficients of Individual Components at 425.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00291 0.00182 0.00024 0.00000 0.00497 3 1.780 5.000 0.00291 0.00217 0.00032 0.00000 0.00540 5 4.942 10.000 0.00291 0.00369 0.00083 0.00000 0.00744 7 9.398 15.000 0.00291 0.00395 0.00094 0.00000 0.00780 9 13.337 20.000 0.00291 0.00305 0.00058 0.00000 0.00655 11 16.201 25.000 0.00291 0.00259 0.00044 0.00000 0.00594 13 18.552 30.000 0.00291 0.00232 0.00036 0.00000 0.00559 15 20.628 35.000 0.00291 0.00217 0.00032 0.00000 0.00540 17 22.303 40.000 0.00291 0.00162 0.00019 0.00000 0.00473 19 23.657 45.000 0.00291 0.00162 0.00019 0.00000 0.00473 21 24.768 50.000 0.00291 0.00112 0.00010 0.00000 0.00413 Summary of Inherent Optical Properties at 425.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0447 0.2702 0.3148 0.8581 0.00497 0.01841 3 1.780 5.000 0.0545 0.3415 0.3960 0.8624 0.00540 0.01582 5 4.942 10.000 0.1066 0.7402 0.8468 0.8741 0.00744 0.01005 7 9.398 15.000 0.1159 0.8193 0.9352 0.8761 0.00780 0.00952 9 13.337 20.000 0.0829 0.5549 0.6378 0.8700 0.00655 0.01180 11 16.201 25.000 0.0675 0.4382 0.5057 0.8665 0.00594 0.01356 13 18.552 30.000 0.0590 0.3749 0.4339 0.8640 0.00559 0.01492 15 20.628 35.000 0.0545 0.3415 0.3960 0.8624 0.00540 0.01582 17 22.303 40.000 0.0393 0.2314 0.2707 0.8549 0.00473 0.02044 19 23.657 45.000 0.0393 0.2314 0.2707 0.8549 0.00473 0.02044 21 24.768 50.000 0.0267 0.1437 0.1705 0.8432 0.00413 0.02875 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4591E-01 8 20.00 8.1499E-01 7 30.00 6.4303E-01 6 40.00 4.7071E-01 5 50.00 3.2548E-01 4 60.00 2.1733E-01 3 70.00 1.4362E-01 2 80.00 9.6623E-02 1 87.50 7.2806E-02 1 92.50 6.0011E-02 2 100.00 4.7486E-02 3 110.00 3.6885E-02 4 120.00 3.0218E-02 5 130.00 2.6063E-02 6 140.00 2.3472E-02 7 150.00 2.1871E-02 8 160.00 2.0915E-02 9 170.00 2.0407E-02 10 180.00 2.0225E-02 Asymptotic AOP values are MUu(inf) = 0.4036 MUd(inf) = 0.7081 MU(inf) = 0.5992 R(inf) = 0.0619 Lu(inf)/Ed(inf) = 0.014545 (1/sr) k(inf) = 0.0446 (1/m) absorp(check) = 0.0267 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 425.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.2864E-01 1.3360E+00 1.5646E+00 5.6084E-02 5.6533E-01 0.2453 0.4232 0.3255 9.9207E-02 1 0.00 0.00 5.8730E-02 7.2881E-01 7.8754E-01 2.3394E-02 5.3263E-01 0.3983 0.7308 0.6466 4.3922E-02 3 1.78 5.00 4.2519E-02 5.2338E-01 5.6590E-01 1.5374E-02 3.5649E-01 0.3616 0.6811 0.6028 4.3127E-02 5 4.94 10.00 2.1215E-02 2.6729E-01 2.8850E-01 7.3386E-03 1.7841E-01 0.3459 0.6675 0.5930 4.1133E-02 7 9.40 15.00 8.2352E-03 1.0348E-01 1.1171E-01 2.8950E-03 7.0376E-02 0.3515 0.6801 0.6040 4.1137E-02 9 13.34 20.00 3.7390E-03 4.4860E-02 4.8599E-02 1.3637E-03 3.1033E-02 0.3647 0.6918 0.6105 4.3943E-02 11 16.20 25.00 2.0854E-03 2.4087E-02 2.6173E-02 7.7801E-04 1.6801E-02 0.3731 0.6975 0.6122 4.6307E-02 13 18.55 30.00 1.2848E-03 1.4331E-02 1.5616E-02 4.8875E-04 1.0043E-02 0.3804 0.7008 0.6118 4.8666E-02 15 20.63 35.00 8.4876E-04 9.0126E-03 9.8614E-03 3.3058E-04 6.3335E-03 0.3895 0.7027 0.6087 5.2195E-02 17 22.30 40.00 6.1209E-04 6.1290E-03 6.7411E-03 2.4229E-04 4.3120E-03 0.3958 0.7035 0.6037 5.6190E-02 19 23.66 45.00 4.6170E-04 4.4345E-03 4.8962E-03 1.8542E-04 3.1227E-03 0.4016 0.7042 0.5999 5.9378E-02 21 24.77 50.00 3.6651E-04 3.3675E-03 3.7340E-03 1.4755E-04 2.3714E-03 0.4026 0.7042 0.5956 6.2220E-02 K-functions (units of 1/meter) at 425.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.04977 0.05405 0.05373 0.06443 0.06891 0.06911 0.09061 5.000 5.010 5.005 0.09514 0.08298 0.08389 0.10879 0.09127 0.09048 0.12788 10.000 10.010 10.005 0.18007 0.18111 0.18104 0.18204 0.17985 0.17976 0.17984 15.000 15.010 15.005 0.18985 0.19587 0.19542 0.18137 0.19132 0.19175 0.16217 20.000 20.010 20.005 0.13031 0.13751 0.13696 0.12518 0.13532 0.13578 0.11471 25.000 25.010 25.005 0.10468 0.11099 0.11049 0.10083 0.10981 0.11025 0.09277 30.000 30.010 30.005 0.08957 0.09660 0.09602 0.08550 0.09590 0.09643 0.07750 35.000 35.010 35.005 0.07462 0.08885 0.08763 0.06983 0.08844 0.08947 0.06270 40.000 40.010 40.005 0.05947 0.06472 0.06425 0.05704 0.06460 0.06505 0.05337 45.000 45.010 45.005 0.05113 0.06459 0.06332 0.04878 0.06445 0.06544 0.04673 50.000 50.010 50.005 0.04475 0.04483 0.04482 0.04490 0.04487 0.04486 0.04488 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 425.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 3.12997E-02 2.59614E-03 7.14008E-04 3.31015E-03 4.59230E-03 0.022812 9 1 10.0 0.0 180.0 2.76887E-02 2.66255E-03 6.13690E-04 3.27624E-03 4.70976E-03 0.022164 9 4 10.0 45.0 135.0 2.85267E-02 2.64421E-03 6.34716E-04 3.27893E-03 4.67732E-03 0.022250 9 7 10.0 90.0 90.0 3.14157E-02 2.62846E-03 7.13761E-04 3.34222E-03 4.64946E-03 0.022720 8 1 20.0 0.0 180.0 2.70549E-02 2.72654E-03 6.00908E-04 3.32745E-03 4.82296E-03 0.022211 8 4 20.0 45.0 135.0 2.79126E-02 2.68428E-03 6.21154E-04 3.30543E-03 4.74820E-03 0.022254 8 7 20.0 90.0 90.0 3.20826E-02 2.66293E-03 7.26132E-04 3.38906E-03 4.71044E-03 0.022633 7 1 30.0 0.0 180.0 2.83909E-02 2.81387E-03 6.70266E-04 3.48414E-03 4.97743E-03 0.023608 7 4 30.0 45.0 135.0 2.88165E-02 2.78557E-03 6.78068E-04 3.46364E-03 4.92736E-03 0.023531 7 7 30.0 90.0 90.0 3.34505E-02 2.74341E-03 7.92524E-04 3.53593E-03 4.85279E-03 0.023692 6 1 40.0 0.0 180.0 3.21699E-02 2.91803E-03 9.15241E-04 3.83327E-03 5.16168E-03 0.028450 6 4 40.0 45.0 135.0 3.16509E-02 2.87339E-03 8.89574E-04 3.76296E-03 5.08271E-03 0.028106 6 7 40.0 90.0 90.0 3.59421E-02 2.82974E-03 1.00464E-03 3.83438E-03 5.00550E-03 0.027952 5 1 50.0 0.0 180.0 3.94284E-02 3.03526E-03 1.70545E-03 4.74071E-03 5.36904E-03 0.043254 5 4 50.0 45.0 135.0 3.72772E-02 2.96353E-03 1.58934E-03 4.55286E-03 5.24216E-03 0.042636 5 7 50.0 90.0 90.0 4.03171E-02 2.92565E-03 1.66515E-03 4.59079E-03 5.17515E-03 0.041301 4 1 60.0 0.0 180.0 5.24435E-02 3.07166E-03 4.36394E-03 7.43560E-03 5.43343E-03 0.083212 4 4 60.0 45.0 135.0 4.76044E-02 2.98601E-03 3.88876E-03 6.87477E-03 5.28193E-03 0.081689 4 7 60.0 90.0 90.0 4.80697E-02 2.98857E-03 3.79359E-03 6.78216E-03 5.28646E-03 0.078919 3 1 70.0 0.0 180.0 7.68861E-02 2.93102E-03 1.24602E-02 1.53912E-02 5.18466E-03 0.162060 3 4 70.0 45.0 135.0 6.73554E-02 2.87175E-03 1.09321E-02 1.38039E-02 5.07982E-03 0.162305 3 7 70.0 90.0 90.0 6.30765E-02 2.88304E-03 1.01637E-02 1.30468E-02 5.09979E-03 0.161133 2 1 80.0 0.0 180.0 1.30195E-01 2.57338E-03 3.12516E-02 3.38250E-02 4.55204E-03 0.240038 2 4 80.0 45.0 135.0 1.11120E-01 2.50930E-03 2.77236E-02 3.02329E-02 4.43868E-03 0.249492 2 7 80.0 90.0 90.0 9.65457E-02 2.52528E-03 2.51371E-02 2.76624E-02 4.46695E-03 0.260364 1 1 87.5 0.0 180.0 2.03746E-01 2.12027E-03 5.52611E-02 5.73814E-02 3.75052E-03 0.271225 1 4 87.5 45.0 135.0 1.71718E-01 1.96271E-03 5.04709E-02 5.24336E-02 3.47181E-03 0.293917 1 7 87.5 90.0 90.0 1.41967E-01 2.19174E-03 4.48569E-02 4.70486E-02 3.87695E-03 0.315967 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 425.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 3.310E-03 3.130E-02 1.306E-01 9.451E-02 7.086E-01 5.855E-03 1.694E+01 2.596E-03 4.592E-03 1 0.00 0.00 4.812E-03 5.655E-02 1.202E-02 1.296E-02 3.269E-02 9.035E-03 4.861E+00 3 1.78 5.00 2.804E-03 6.281E-02 8.994E-03 1.124E-02 3.294E-02 7.866E-03 5.482E+00 5 4.94 10.00 1.272E-03 5.581E-02 4.586E-03 6.625E-03 1.813E-02 7.132E-03 5.768E+00 7 9.40 15.00 5.302E-04 3.353E-02 1.996E-03 2.893E-03 5.795E-03 7.534E-03 5.460E+00 9 13.34 20.00 2.692E-04 1.777E-02 9.934E-04 1.332E-03 2.099E-03 8.673E-03 5.067E+00 11 16.20 25.00 1.608E-04 1.039E-02 5.840E-04 7.363E-04 1.021E-03 9.571E-03 4.838E+00 13 18.55 30.00 1.051E-04 6.476E-03 3.696E-04 4.457E-04 5.712E-04 1.047E-02 4.648E+00 15 20.63 35.00 7.400E-05 4.191E-03 2.440E-04 2.844E-04 3.454E-04 1.168E-02 4.467E+00 17 22.30 40.00 5.562E-05 2.900E-03 1.759E-04 1.988E-04 2.314E-04 1.290E-02 4.356E+00 19 23.66 45.00 4.326E-05 2.123E-03 1.310E-04 1.454E-04 1.650E-04 1.385E-02 4.286E+00 21 24.77 50.00 3.452E-05 1.625E-03 1.047E-04 1.139E-04 1.260E-04 1.456E-02 4.274E+00 Waveband 3 of 30 completed in 7.3 sec. * * * * * Output for wavelength band 4 (430.0 to 440.0 nm; nominal wavelength = 435.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 174.0 m at 435.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 430.0 nm to 440.0 nm: Ed(diffuse) = 2.995E-01 Ed(direct) = 2.868E-01 Ed(total) = 5.863E-01 Absorption Coefficients of Individual Components at 435.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0053 0.0332 0.0000 0.0072 0.0457 3 1.773 5.000 0.0053 0.0412 0.0000 0.0089 0.0554 5 4.930 10.000 0.0053 0.0835 0.0000 0.0179 0.1067 7 9.383 15.000 0.0053 0.0910 0.0000 0.0194 0.1158 9 13.319 20.000 0.0053 0.0644 0.0000 0.0138 0.0835 11 16.178 25.000 0.0053 0.0519 0.0000 0.0112 0.0683 13 18.522 30.000 0.0053 0.0449 0.0000 0.0097 0.0599 15 20.591 35.000 0.0053 0.0412 0.0000 0.0089 0.0554 17 22.259 40.000 0.0053 0.0288 0.0000 0.0062 0.0403 19 23.606 45.000 0.0053 0.0288 0.0000 0.0062 0.0403 21 24.711 50.000 0.0053 0.0184 0.0000 0.0040 0.0277 Scattering Coefficients of Individual Components at 435.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0053 0.1291 0.1334 0.0000 0.2678 3 1.773 5.000 0.0053 0.1538 0.1801 0.0000 0.3392 5 4.930 10.000 0.0053 0.2634 0.4710 0.0000 0.7396 7 9.383 15.000 0.0053 0.2816 0.5318 0.0000 0.8187 9 13.319 20.000 0.0053 0.2172 0.3309 0.0000 0.5534 11 16.178 25.000 0.0053 0.1842 0.2467 0.0000 0.4362 13 18.522 30.000 0.0053 0.1647 0.2027 0.0000 0.3726 15 20.591 35.000 0.0053 0.1538 0.1801 0.0000 0.3392 17 22.259 40.000 0.0053 0.1147 0.1091 0.0000 0.2291 19 23.606 45.000 0.0053 0.1147 0.1091 0.0000 0.2291 21 24.711 50.000 0.0053 0.0786 0.0577 0.0000 0.1416 Backscattering Coefficients of Individual Components at 435.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00264 0.00181 0.00023 0.00000 0.00468 3 1.773 5.000 0.00264 0.00216 0.00032 0.00000 0.00511 5 4.930 10.000 0.00264 0.00369 0.00083 0.00000 0.00716 7 9.383 15.000 0.00264 0.00395 0.00094 0.00000 0.00752 9 13.319 20.000 0.00264 0.00305 0.00058 0.00000 0.00626 11 16.178 25.000 0.00264 0.00258 0.00043 0.00000 0.00565 13 18.522 30.000 0.00264 0.00231 0.00036 0.00000 0.00530 15 20.591 35.000 0.00264 0.00216 0.00032 0.00000 0.00511 17 22.259 40.000 0.00264 0.00161 0.00019 0.00000 0.00444 19 23.606 45.000 0.00264 0.00161 0.00019 0.00000 0.00444 21 24.711 50.000 0.00264 0.00110 0.00010 0.00000 0.00384 Summary of Inherent Optical Properties at 435.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0457 0.2678 0.3135 0.8542 0.00468 0.01748 3 1.773 5.000 0.0554 0.3392 0.3946 0.8595 0.00511 0.01506 5 4.930 10.000 0.1067 0.7396 0.8463 0.8739 0.00716 0.00968 7 9.383 15.000 0.1158 0.8187 0.9345 0.8761 0.00752 0.00919 9 13.319 20.000 0.0835 0.5534 0.6369 0.8689 0.00626 0.01132 11 16.178 25.000 0.0683 0.4362 0.5045 0.8646 0.00565 0.01296 13 18.522 30.000 0.0599 0.3726 0.4325 0.8615 0.00530 0.01423 15 20.591 35.000 0.0554 0.3392 0.3946 0.8595 0.00511 0.01506 17 22.259 40.000 0.0403 0.2291 0.2694 0.8504 0.00444 0.01937 19 23.606 45.000 0.0403 0.2291 0.2694 0.8504 0.00444 0.01937 21 24.711 50.000 0.0277 0.1416 0.1693 0.8362 0.00384 0.02712 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4432E-01 8 20.00 8.0993E-01 7 30.00 6.3441E-01 6 40.00 4.5994E-01 5 50.00 3.1436E-01 4 60.00 2.0720E-01 3 70.00 1.3506E-01 2 80.00 8.9632E-02 1 87.50 6.6877E-02 1 92.50 5.4760E-02 2 100.00 4.2982E-02 3 110.00 3.3100E-02 4 120.00 2.6946E-02 5 130.00 2.3144E-02 6 140.00 2.0791E-02 7 150.00 1.9347E-02 8 160.00 1.8490E-02 9 170.00 1.8035E-02 10 180.00 1.7873E-02 Asymptotic AOP values are MUu(inf) = 0.4006 MUd(inf) = 0.7136 MU(inf) = 0.6121 R(inf) = 0.0563 Lu(inf)/Ed(inf) = 0.013109 (1/sr) k(inf) = 0.0453 (1/m) absorp(check) = 0.0277 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 435.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.3407E-01 1.3792E+00 1.6133E+00 5.7410E-02 5.8631E-01 0.2453 0.4251 0.3278 9.7917E-02 1 0.00 0.00 5.7836E-02 7.5385E-01 8.1169E-01 2.2968E-02 5.5187E-01 0.3971 0.7321 0.6516 4.1619E-02 3 1.77 5.00 4.2422E-02 5.3897E-01 5.8139E-01 1.5290E-02 3.6779E-01 0.3604 0.6824 0.6063 4.1574E-02 5 4.93 10.00 2.1520E-02 2.7533E-01 2.9685E-01 7.4018E-03 1.8385E-01 0.3440 0.6678 0.5944 4.0259E-02 7 9.38 15.00 8.3614E-03 1.0685E-01 1.1521E-01 2.9149E-03 7.2663E-02 0.3486 0.6801 0.6054 4.0115E-02 9 13.32 20.00 3.7438E-03 4.6299E-02 5.0043E-02 1.3519E-03 3.2046E-02 0.3611 0.6922 0.6134 4.2186E-02 11 16.18 25.00 2.0619E-03 2.4777E-02 2.6839E-02 7.6127E-04 1.7307E-02 0.3692 0.6985 0.6165 4.3987E-02 13 18.52 30.00 1.2559E-03 1.4683E-02 1.5939E-02 4.7251E-04 1.0311E-02 0.3762 0.7022 0.6173 4.5827E-02 15 20.59 35.00 8.1907E-04 9.1952E-03 1.0014E-02 3.1516E-04 6.4791E-03 0.3848 0.7046 0.6155 4.8643E-02 17 22.26 40.00 5.8189E-04 6.2224E-03 6.8043E-03 2.2774E-04 4.3930E-03 0.3914 0.7060 0.6122 5.1843E-02 19 23.61 45.00 4.3404E-04 4.4798E-03 4.9139E-03 1.7235E-04 3.1677E-03 0.3971 0.7071 0.6096 5.4410E-02 21 24.71 50.00 3.4037E-04 3.3841E-03 3.7245E-03 1.3579E-04 2.3950E-03 0.3989 0.7077 0.6066 5.6695E-02 K-functions (units of 1/meter) at 435.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.04769 0.05487 0.05436 0.06247 0.06982 0.07014 0.08915 5.000 5.010 5.005 0.09083 0.08370 0.08422 0.10485 0.09206 0.09150 0.12495 10.000 10.010 10.005 0.17873 0.18051 0.18038 0.18115 0.17953 0.17947 0.17973 15.000 15.010 15.005 0.19166 0.19537 0.19510 0.18386 0.19082 0.19112 0.16515 20.000 20.010 20.005 0.13286 0.13810 0.13770 0.12784 0.13570 0.13605 0.11730 25.000 25.010 25.005 0.10693 0.11177 0.11140 0.10318 0.11043 0.11077 0.09514 30.000 30.010 30.005 0.09177 0.09744 0.09699 0.08790 0.09661 0.09702 0.07995 35.000 35.010 35.005 0.07791 0.08971 0.08874 0.07314 0.08919 0.09001 0.06547 40.000 40.010 40.005 0.06143 0.06581 0.06543 0.05899 0.06548 0.06584 0.05510 45.000 45.010 45.005 0.05410 0.06554 0.06453 0.05144 0.06530 0.06610 0.04861 50.000 50.010 50.005 0.04596 0.04592 0.04592 0.04594 0.04575 0.04574 0.04577 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 435.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 3.14671E-02 2.52997E-03 7.17827E-04 3.24779E-03 4.31504E-03 0.022812 9 1 10.0 0.0 180.0 2.78368E-02 2.59100E-03 6.16972E-04 3.20797E-03 4.41913E-03 0.022164 9 4 10.0 45.0 135.0 2.86793E-02 2.57420E-03 6.38111E-04 3.21231E-03 4.39049E-03 0.022250 9 7 10.0 90.0 90.0 3.15837E-02 2.56178E-03 7.17580E-04 3.27936E-03 4.36930E-03 0.022720 8 1 20.0 0.0 180.0 2.71997E-02 2.65159E-03 6.04122E-04 3.25571E-03 4.52248E-03 0.022211 8 4 20.0 45.0 135.0 2.80619E-02 2.61212E-03 6.24477E-04 3.23660E-03 4.45516E-03 0.022254 8 7 20.0 90.0 90.0 3.22542E-02 2.59615E-03 7.30017E-04 3.32617E-03 4.42791E-03 0.022633 7 1 30.0 0.0 180.0 2.85428E-02 2.73523E-03 6.73852E-04 3.40908E-03 4.66513E-03 0.023608 7 4 30.0 45.0 135.0 2.89706E-02 2.70989E-03 6.81695E-04 3.39159E-03 4.62192E-03 0.023531 7 7 30.0 90.0 90.0 3.36294E-02 2.67564E-03 7.96764E-04 3.47241E-03 4.56350E-03 0.023692 6 1 40.0 0.0 180.0 3.23420E-02 2.83529E-03 9.20137E-04 3.75542E-03 4.83578E-03 0.028450 6 4 40.0 45.0 135.0 3.18202E-02 2.79470E-03 8.94333E-04 3.68903E-03 4.76655E-03 0.028106 6 7 40.0 90.0 90.0 3.61343E-02 2.76164E-03 1.01002E-03 3.77166E-03 4.71017E-03 0.027952 5 1 50.0 0.0 180.0 3.96393E-02 2.94836E-03 1.71458E-03 4.66294E-03 5.02863E-03 0.043255 5 4 50.0 45.0 135.0 3.74767E-02 2.88197E-03 1.59784E-03 4.47981E-03 4.91540E-03 0.042636 5 7 50.0 90.0 90.0 4.05328E-02 2.85697E-03 1.67405E-03 4.53102E-03 4.87276E-03 0.041301 4 1 60.0 0.0 180.0 5.27241E-02 2.98293E-03 4.38729E-03 7.37021E-03 5.08760E-03 0.083212 4 4 60.0 45.0 135.0 4.78595E-02 2.90347E-03 3.90957E-03 6.81304E-03 4.95207E-03 0.081688 4 7 60.0 90.0 90.0 4.83239E-02 2.92011E-03 3.81386E-03 6.73397E-03 4.98045E-03 0.078923 3 1 70.0 0.0 180.0 7.72974E-02 2.84553E-03 1.25268E-02 1.53724E-02 4.85326E-03 0.162060 3 4 70.0 45.0 135.0 6.77157E-02 2.79193E-03 1.09906E-02 1.37825E-02 4.76184E-03 0.162305 3 7 70.0 90.0 90.0 6.34139E-02 2.81860E-03 1.02181E-02 1.30367E-02 4.80732E-03 0.161133 2 1 80.0 0.0 180.0 1.30891E-01 2.49764E-03 3.14188E-02 3.39164E-02 4.25990E-03 0.240038 2 4 80.0 45.0 135.0 1.11715E-01 2.43916E-03 2.78719E-02 3.03111E-02 4.16015E-03 0.249492 2 7 80.0 90.0 90.0 9.70622E-02 2.46996E-03 2.52715E-02 2.77415E-02 4.21270E-03 0.260364 1 1 87.5 0.0 180.0 2.04836E-01 2.05726E-03 5.55567E-02 5.76140E-02 3.50881E-03 0.271225 1 4 87.5 45.0 135.0 1.72637E-01 1.90748E-03 5.07409E-02 5.26484E-02 3.25334E-03 0.293917 1 7 87.5 90.0 90.0 1.42726E-01 2.14451E-03 4.50968E-02 4.72413E-02 3.65762E-03 0.315967 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 435.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 3.248E-03 3.147E-02 1.312E-01 9.498E-02 7.295E-01 5.539E-03 1.768E+01 2.530E-03 4.315E-03 1 0.00 0.00 4.689E-03 5.685E-02 1.165E-02 1.270E-02 3.329E-02 8.497E-03 4.898E+00 3 1.77 5.00 2.761E-03 6.344E-02 8.778E-03 1.113E-02 3.363E-02 7.507E-03 5.538E+00 5 4.93 10.00 1.264E-03 5.685E-02 4.572E-03 6.710E-03 1.881E-02 6.874E-03 5.857E+00 7 9.38 15.00 5.236E-04 3.444E-02 2.011E-03 2.959E-03 6.032E-03 7.206E-03 5.567E+00 9 13.32 20.00 2.618E-04 1.831E-02 9.968E-04 1.353E-03 2.163E-03 8.168E-03 5.165E+00 11 16.18 25.00 1.544E-04 1.071E-02 5.815E-04 7.411E-04 1.040E-03 8.922E-03 4.930E+00 13 18.52 30.00 9.975E-05 6.663E-03 3.653E-04 4.447E-04 5.760E-04 9.674E-03 4.737E+00 15 20.59 35.00 6.929E-05 4.304E-03 2.394E-04 2.814E-04 3.449E-04 1.069E-02 4.549E+00 17 22.26 40.00 5.148E-05 2.970E-03 1.703E-04 1.940E-04 2.276E-04 1.172E-02 4.424E+00 19 23.61 45.00 3.968E-05 2.169E-03 1.258E-04 1.406E-04 1.608E-04 1.253E-02 4.343E+00 21 24.71 50.00 3.144E-05 1.655E-03 9.911E-05 1.085E-04 1.209E-04 1.313E-02 4.319E+00 Waveband 4 of 30 completed in 7.3 sec. * * * * * Output for wavelength band 5 (440.0 to 450.0 nm; nominal wavelength = 445.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 174.0 m at 445.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 440.0 nm to 450.0 nm: Ed(diffuse) = 3.466E-01 Ed(direct) = 3.501E-01 Ed(total) = 6.967E-01 Absorption Coefficients of Individual Components at 445.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0075 0.0325 0.0000 0.0062 0.0463 3 1.763 5.000 0.0075 0.0401 0.0000 0.0077 0.0553 5 4.901 10.000 0.0075 0.0793 0.0000 0.0155 0.1023 7 9.328 15.000 0.0075 0.0861 0.0000 0.0169 0.1105 9 13.241 20.000 0.0075 0.0616 0.0000 0.0120 0.0811 11 16.083 25.000 0.0075 0.0500 0.0000 0.0097 0.0672 13 18.413 30.000 0.0075 0.0435 0.0000 0.0084 0.0595 15 20.469 35.000 0.0075 0.0401 0.0000 0.0077 0.0553 17 22.128 40.000 0.0075 0.0283 0.0000 0.0054 0.0412 19 23.468 45.000 0.0075 0.0283 0.0000 0.0054 0.0412 21 24.569 50.000 0.0075 0.0184 0.0000 0.0035 0.0294 Scattering Coefficients of Individual Components at 445.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0048 0.1282 0.1325 0.0000 0.2655 3 1.763 5.000 0.0048 0.1530 0.1792 0.0000 0.3370 5 4.901 10.000 0.0048 0.2634 0.4710 0.0000 0.7391 7 9.328 15.000 0.0048 0.2816 0.5318 0.0000 0.8182 9 13.241 20.000 0.0048 0.2168 0.3303 0.0000 0.5519 11 16.083 25.000 0.0048 0.1836 0.2458 0.0000 0.4342 13 18.413 30.000 0.0048 0.1639 0.2018 0.0000 0.3705 15 20.469 35.000 0.0048 0.1530 0.1792 0.0000 0.3370 17 22.128 40.000 0.0048 0.1138 0.1082 0.0000 0.2268 19 23.468 45.000 0.0048 0.1138 0.1082 0.0000 0.2268 21 24.569 50.000 0.0048 0.0778 0.0570 0.0000 0.1396 Backscattering Coefficients of Individual Components at 445.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00239 0.00180 0.00023 0.00000 0.00442 3 1.763 5.000 0.00239 0.00215 0.00032 0.00000 0.00485 5 4.901 10.000 0.00239 0.00369 0.00083 0.00000 0.00691 7 9.328 15.000 0.00239 0.00395 0.00094 0.00000 0.00727 9 13.241 20.000 0.00239 0.00304 0.00058 0.00000 0.00601 11 16.083 25.000 0.00239 0.00257 0.00043 0.00000 0.00540 13 18.413 30.000 0.00239 0.00230 0.00036 0.00000 0.00504 15 20.469 35.000 0.00239 0.00215 0.00032 0.00000 0.00485 17 22.128 40.000 0.00239 0.00160 0.00019 0.00000 0.00418 19 23.468 45.000 0.00239 0.00160 0.00019 0.00000 0.00418 21 24.569 50.000 0.00239 0.00109 0.00010 0.00000 0.00358 Summary of Inherent Optical Properties at 445.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0463 0.2655 0.3118 0.8516 0.00442 0.01665 3 1.763 5.000 0.0553 0.3370 0.3923 0.8590 0.00485 0.01439 5 4.901 10.000 0.1023 0.7391 0.8414 0.8784 0.00691 0.00935 7 9.328 15.000 0.1105 0.8182 0.9288 0.8810 0.00727 0.00889 9 13.241 20.000 0.0811 0.5519 0.6331 0.8718 0.00601 0.01089 11 16.083 25.000 0.0672 0.4342 0.5014 0.8660 0.00540 0.01243 13 18.413 30.000 0.0595 0.3705 0.4299 0.8617 0.00504 0.01361 15 20.469 35.000 0.0553 0.3370 0.3923 0.8590 0.00485 0.01439 17 22.128 40.000 0.0412 0.2268 0.2680 0.8462 0.00418 0.01841 19 23.468 45.000 0.0412 0.2268 0.2680 0.8462 0.00418 0.01841 21 24.569 50.000 0.0294 0.1396 0.1690 0.8260 0.00358 0.02565 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4206E-01 8 20.00 8.0279E-01 7 30.00 6.2243E-01 6 40.00 4.4527E-01 5 50.00 2.9959E-01 4 60.00 1.9410E-01 3 70.00 1.2432E-01 2 80.00 8.1146E-02 1 87.50 5.9849E-02 1 92.50 4.8643E-02 2 100.00 3.7844E-02 3 110.00 2.8881E-02 4 120.00 2.3367E-02 5 130.00 1.9997E-02 6 140.00 1.7930E-02 7 150.00 1.6672E-02 8 160.00 1.5929E-02 9 170.00 1.5538E-02 10 180.00 1.5398E-02 Asymptotic AOP values are MUu(inf) = 0.3978 MUd(inf) = 0.7206 MU(inf) = 0.6276 R(inf) = 0.0501 Lu(inf)/Ed(inf) = 0.011601 (1/sr) k(inf) = 0.0469 (1/m) absorp(check) = 0.0294 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 445.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.7557E-01 1.6326E+00 1.9082E+00 6.7692E-02 6.9673E-01 0.2456 0.4268 0.3296 9.7157E-02 1 0.00 0.00 6.6683E-02 8.9462E-01 9.6131E-01 2.6489E-02 6.5552E-01 0.3972 0.7327 0.6544 4.0408E-02 3 1.76 5.00 5.0307E-02 6.4008E-01 6.9039E-01 1.8178E-02 4.3717E-01 0.3613 0.6830 0.6069 4.1581E-02 5 4.90 10.00 2.6842E-02 3.3429E-01 3.6113E-01 9.2197E-03 2.2267E-01 0.3435 0.6661 0.5911 4.1405E-02 7 9.33 15.00 1.0802E-02 1.3446E-01 1.4526E-01 3.7414E-03 9.1030E-02 0.3464 0.6770 0.6009 4.1101E-02 9 13.24 20.00 4.8475E-03 5.9719E-02 6.4567E-02 1.7330E-03 4.1176E-02 0.3575 0.6895 0.6109 4.2088E-02 11 16.08 25.00 2.6535E-03 3.2294E-02 3.4947E-02 9.6868E-04 2.2500E-02 0.3651 0.6967 0.6161 4.3053E-02 13 18.41 30.00 1.6022E-03 1.9229E-02 2.0831E-02 5.9503E-04 1.3485E-02 0.3714 0.7013 0.6188 4.4125E-02 15 20.47 35.00 1.0296E-03 1.2067E-02 1.3097E-02 3.8993E-04 8.4998E-03 0.3787 0.7044 0.6192 4.5875E-02 17 22.13 40.00 7.1410E-04 8.1425E-03 8.8566E-03 2.7534E-04 5.7557E-03 0.3856 0.7069 0.6188 4.7837E-02 19 23.47 45.00 5.2240E-04 5.8291E-03 6.3515E-03 2.0421E-04 4.1320E-03 0.3909 0.7089 0.6184 4.9421E-02 21 24.57 50.00 3.9937E-04 4.3661E-03 4.7654E-03 1.5758E-04 3.1031E-03 0.3946 0.7107 0.6181 5.0783E-02 K-functions (units of 1/meter) at 445.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.04385 0.05545 0.05464 0.05825 0.07021 0.07071 0.08504 5.000 5.010 5.005 0.08109 0.08283 0.08270 0.09558 0.09139 0.09121 0.11709 10.000 10.010 10.005 0.17002 0.17330 0.17306 0.17325 0.17306 0.17305 0.17330 15.000 15.010 15.005 0.18801 0.18810 0.18809 0.18156 0.18374 0.18383 0.16412 20.000 20.010 20.005 0.13342 0.13529 0.13515 0.12872 0.13259 0.13276 0.11830 25.000 25.010 25.005 0.10827 0.11048 0.11031 0.10478 0.10886 0.10905 0.09696 30.000 30.010 30.005 0.09374 0.09687 0.09663 0.09035 0.09581 0.09606 0.08277 35.000 35.010 35.005 0.08263 0.08949 0.08895 0.07813 0.08877 0.08928 0.06974 40.000 40.010 40.005 0.06460 0.06713 0.06692 0.06227 0.06642 0.06663 0.05810 45.000 45.010 45.005 0.05982 0.06660 0.06604 0.05667 0.06616 0.06665 0.05230 50.000 50.010 50.005 0.04859 0.04822 0.04825 0.04815 0.04760 0.04757 0.04765 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 445.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 3.64143E-02 2.90753E-03 8.30682E-04 3.73821E-03 4.17312E-03 0.022812 9 1 10.0 0.0 180.0 3.22133E-02 2.97101E-03 7.13971E-04 3.68498E-03 4.26423E-03 0.022164 9 4 10.0 45.0 135.0 3.31882E-02 2.95371E-03 7.38433E-04 3.69214E-03 4.23940E-03 0.022250 9 7 10.0 90.0 90.0 3.65492E-02 2.94460E-03 8.30395E-04 3.77499E-03 4.22632E-03 0.022720 8 1 20.0 0.0 180.0 3.14759E-02 3.03713E-03 6.99101E-04 3.73623E-03 4.35913E-03 0.022211 8 4 20.0 45.0 135.0 3.24737E-02 2.99506E-03 7.22656E-04 3.71771E-03 4.29875E-03 0.022254 8 7 20.0 90.0 90.0 3.73251E-02 2.98521E-03 8.44788E-04 3.83000E-03 4.28462E-03 0.022633 7 1 30.0 0.0 180.0 3.30302E-02 3.13014E-03 7.79793E-04 3.90993E-03 4.49263E-03 0.023608 7 4 30.0 45.0 135.0 3.35253E-02 3.10543E-03 7.88870E-04 3.89430E-03 4.45716E-03 0.023531 7 7 30.0 90.0 90.0 3.89165E-02 3.07804E-03 9.22028E-04 4.00007E-03 4.41785E-03 0.023692 6 1 40.0 0.0 180.0 3.74267E-02 3.24170E-03 1.06480E-03 4.30650E-03 4.65275E-03 0.028450 6 4 40.0 45.0 135.0 3.68229E-02 3.20086E-03 1.03494E-03 4.23579E-03 4.59413E-03 0.028106 6 7 40.0 90.0 90.0 4.18153E-02 3.17917E-03 1.16881E-03 4.34798E-03 4.56299E-03 0.027952 5 1 50.0 0.0 180.0 4.58713E-02 3.36857E-03 1.98414E-03 5.35272E-03 4.83485E-03 0.043255 5 4 50.0 45.0 135.0 4.33686E-02 3.29928E-03 1.84905E-03 5.14833E-03 4.73538E-03 0.042636 5 7 50.0 90.0 90.0 4.69052E-02 3.29045E-03 1.93724E-03 5.22769E-03 4.72272E-03 0.041301 4 1 60.0 0.0 180.0 6.10132E-02 3.40566E-03 5.07704E-03 8.48270E-03 4.88807E-03 0.083212 4 4 60.0 45.0 135.0 5.53844E-02 3.32226E-03 4.52422E-03 7.84649E-03 4.76838E-03 0.081688 4 7 60.0 90.0 90.0 5.59184E-02 3.36432E-03 4.41345E-03 7.77777E-03 4.82874E-03 0.078927 3 1 70.0 0.0 180.0 8.94499E-02 3.24598E-03 1.44963E-02 1.77422E-02 4.65890E-03 0.162060 3 4 70.0 45.0 135.0 7.83617E-02 3.19244E-03 1.27185E-02 1.59110E-02 4.58205E-03 0.162305 3 7 70.0 90.0 90.0 7.33837E-02 3.24749E-03 1.18245E-02 1.50720E-02 4.66105E-03 0.161132 2 1 80.0 0.0 180.0 1.51469E-01 2.84671E-03 3.63584E-02 3.92051E-02 4.08582E-03 0.240038 2 4 80.0 45.0 135.0 1.29278E-01 2.78702E-03 3.22539E-02 3.50409E-02 4.00015E-03 0.249492 2 7 80.0 90.0 90.0 1.12322E-01 2.84537E-03 2.92446E-02 3.20899E-02 4.08390E-03 0.260364 1 1 87.5 0.0 180.0 2.37040E-01 2.34253E-03 6.42912E-02 6.66337E-02 3.36219E-03 0.271225 1 4 87.5 45.0 135.0 1.99778E-01 2.17764E-03 5.87183E-02 6.08959E-02 3.12552E-03 0.293917 1 7 87.5 90.0 90.0 1.65165E-01 2.46933E-03 5.21867E-02 5.46560E-02 3.54418E-03 0.315966 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 445.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 3.738E-03 3.641E-02 1.518E-01 1.099E-01 8.615E-01 5.365E-03 1.811E+01 2.908E-03 4.173E-03 1 0.00 0.00 5.389E-03 6.579E-02 1.318E-02 1.454E-02 3.925E-02 8.221E-03 4.915E+00 3 1.76 5.00 3.264E-03 7.394E-02 1.008E-02 1.295E-02 4.007E-02 7.467E-03 5.569E+00 5 4.90 10.00 1.553E-03 6.777E-02 5.565E-03 8.280E-03 2.361E-02 6.974E-03 5.937E+00 7 9.33 15.00 6.577E-04 4.251E-02 2.565E-03 3.823E-03 7.907E-03 7.225E-03 5.689E+00 9 13.24 20.00 3.278E-04 2.321E-02 1.290E-03 1.773E-03 2.873E-03 7.961E-03 5.287E+00 11 16.08 25.00 1.919E-04 1.377E-02 7.527E-04 9.699E-04 1.378E-03 8.528E-03 5.049E+00 13 18.41 30.00 1.225E-04 8.643E-03 4.714E-04 5.795E-04 7.586E-04 9.084E-03 4.858E+00 15 20.47 35.00 8.359E-05 5.613E-03 3.074E-04 3.645E-04 4.511E-04 9.835E-03 4.665E+00 17 22.13 40.00 6.094E-05 3.880E-03 2.142E-04 2.459E-04 2.912E-04 1.059E-02 4.518E+00 19 23.47 45.00 4.620E-05 2.829E-03 1.562E-04 1.759E-04 2.029E-04 1.118E-02 4.420E+00 21 24.57 50.00 3.608E-05 2.151E-03 1.194E-04 1.315E-04 1.477E-04 1.163E-02 4.368E+00 Waveband 5 of 30 completed in 7.2 sec. * * * * * Output for wavelength band 6 (450.0 to 460.0 nm; nominal wavelength = 455.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 174.0 m at 455.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 450.0 nm to 460.0 nm: Ed(diffuse) = 3.642E-01 Ed(direct) = 3.861E-01 Ed(total) = 7.503E-01 Absorption Coefficients of Individual Components at 455.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0096 0.0301 0.0000 0.0054 0.0451 3 1.745 5.000 0.0096 0.0369 0.0000 0.0067 0.0533 5 4.853 10.000 0.0096 0.0722 0.0000 0.0135 0.0953 7 9.240 15.000 0.0096 0.0783 0.0000 0.0147 0.1026 9 13.117 20.000 0.0096 0.0564 0.0000 0.0104 0.0764 11 15.931 25.000 0.0096 0.0459 0.0000 0.0084 0.0640 13 18.237 30.000 0.0096 0.0401 0.0000 0.0073 0.0570 15 20.271 35.000 0.0096 0.0369 0.0000 0.0067 0.0533 17 21.913 40.000 0.0096 0.0262 0.0000 0.0047 0.0406 19 23.239 45.000 0.0096 0.0262 0.0000 0.0047 0.0406 21 24.329 50.000 0.0096 0.0172 0.0000 0.0030 0.0299 Scattering Coefficients of Individual Components at 455.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0043 0.1274 0.1316 0.0000 0.2633 3 1.745 5.000 0.0043 0.1522 0.1783 0.0000 0.3348 5 4.853 10.000 0.0043 0.2634 0.4710 0.0000 0.7387 7 9.240 15.000 0.0043 0.2816 0.5318 0.0000 0.8178 9 13.117 20.000 0.0043 0.2164 0.3298 0.0000 0.5506 11 15.931 25.000 0.0043 0.1830 0.2450 0.0000 0.4323 13 18.237 30.000 0.0043 0.1632 0.2009 0.0000 0.3684 15 20.271 35.000 0.0043 0.1522 0.1783 0.0000 0.3348 17 21.913 40.000 0.0043 0.1129 0.1074 0.0000 0.2246 19 23.239 45.000 0.0043 0.1129 0.1074 0.0000 0.2246 21 24.329 50.000 0.0043 0.0769 0.0564 0.0000 0.1376 Backscattering Coefficients of Individual Components at 455.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00217 0.00179 0.00023 0.00000 0.00419 3 1.745 5.000 0.00217 0.00213 0.00031 0.00000 0.00462 5 4.853 10.000 0.00217 0.00369 0.00083 0.00000 0.00669 7 9.240 15.000 0.00217 0.00395 0.00094 0.00000 0.00706 9 13.117 20.000 0.00217 0.00303 0.00058 0.00000 0.00579 11 15.931 25.000 0.00217 0.00257 0.00043 0.00000 0.00517 13 18.237 30.000 0.00217 0.00229 0.00035 0.00000 0.00481 15 20.271 35.000 0.00217 0.00213 0.00031 0.00000 0.00462 17 21.913 40.000 0.00217 0.00158 0.00019 0.00000 0.00394 19 23.239 45.000 0.00217 0.00158 0.00019 0.00000 0.00394 21 24.329 50.000 0.00217 0.00108 0.00010 0.00000 0.00335 Summary of Inherent Optical Properties at 455.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0451 0.2633 0.3084 0.8537 0.00419 0.01591 3 1.745 5.000 0.0533 0.3348 0.3881 0.8627 0.00462 0.01379 5 4.853 10.000 0.0953 0.7387 0.8340 0.8857 0.00669 0.00906 7 9.240 15.000 0.1026 0.8178 0.9204 0.8885 0.00706 0.00863 9 13.117 20.000 0.0764 0.5506 0.6270 0.8781 0.00579 0.01051 11 15.931 25.000 0.0640 0.4323 0.4963 0.8711 0.00517 0.01195 13 18.237 30.000 0.0570 0.3684 0.4254 0.8660 0.00481 0.01306 15 20.271 35.000 0.0533 0.3348 0.3881 0.8627 0.00462 0.01379 17 21.913 40.000 0.0406 0.2246 0.2652 0.8470 0.00394 0.01755 19 23.239 45.000 0.0406 0.2246 0.2652 0.8470 0.00394 0.01755 21 24.329 50.000 0.0299 0.1376 0.1675 0.8218 0.00335 0.02433 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4114E-01 8 20.00 7.9990E-01 7 30.00 6.1755E-01 6 40.00 4.3925E-01 5 50.00 2.9345E-01 4 60.00 1.8857E-01 3 70.00 1.1969E-01 2 80.00 7.7388E-02 1 87.50 5.6666E-02 1 92.50 4.5820E-02 2 100.00 3.5415E-02 3 110.00 2.6830E-02 4 120.00 2.1580E-02 5 130.00 1.8390E-02 6 140.00 1.6443E-02 7 150.00 1.5263E-02 8 160.00 1.4569E-02 9 170.00 1.4204E-02 10 180.00 1.4074E-02 Asymptotic AOP values are MUu(inf) = 0.3951 MUd(inf) = 0.7239 MU(inf) = 0.6357 R(inf) = 0.0467 Lu(inf)/Ed(inf) = 0.010725 (1/sr) k(inf) = 0.0470 (1/m) absorp(check) = 0.0299 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 455.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.9513E-01 1.7521E+00 2.0472E+00 7.2823E-02 7.5031E-01 0.2467 0.4282 0.3309 9.7058E-02 1 0.00 0.00 7.2500E-02 9.6449E-01 1.0370E+00 2.8855E-02 7.0633E-01 0.3980 0.7323 0.6533 4.0852E-02 3 1.74 5.00 5.6751E-02 6.9940E-01 7.5615E-01 2.0609E-02 4.7722E-01 0.3632 0.6823 0.6039 4.3186E-02 5 4.85 10.00 3.2245E-02 3.7967E-01 4.1192E-01 1.1094E-02 2.5164E-01 0.3440 0.6628 0.5840 4.4086E-02 7 9.24 15.00 1.3692E-02 1.6115E-01 1.7484E-01 4.7270E-03 1.0829E-01 0.3452 0.6720 0.5923 4.3651E-02 9 13.12 20.00 6.2874E-03 7.4605E-02 8.0892E-02 2.2318E-03 5.1069E-02 0.3550 0.6845 0.6037 4.3701E-02 11 15.93 25.00 3.4790E-03 4.1363E-02 4.4842E-02 1.2590E-03 2.8640E-02 0.3619 0.6924 0.6106 4.3958E-02 13 18.24 30.00 2.1135E-03 2.5072E-02 2.7186E-02 7.7667E-04 1.7491E-02 0.3675 0.6976 0.6148 4.4403E-02 15 20.27 35.00 1.3571E-03 1.5960E-02 1.7317E-02 5.0703E-04 1.1193E-02 0.3736 0.7013 0.6171 4.5300E-02 17 21.91 40.00 9.3041E-04 1.0858E-02 1.1788E-02 3.5403E-04 7.6514E-03 0.3805 0.7047 0.6191 4.6270E-02 19 23.24 45.00 6.7459E-04 7.8045E-03 8.4791E-03 2.5992E-04 5.5212E-03 0.3853 0.7074 0.6205 4.7077E-02 21 24.33 50.00 5.0714E-04 5.8472E-03 6.3543E-03 1.9806E-04 4.1537E-03 0.3905 0.7104 0.6225 4.7683E-02 K-functions (units of 1/meter) at 455.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.03903 0.05403 0.05298 0.05242 0.06837 0.06905 0.07891 5.000 5.010 5.005 0.06969 0.07917 0.07846 0.08447 0.08809 0.08826 0.10698 10.000 10.010 10.005 0.15784 0.16245 0.16209 0.16188 0.16305 0.16311 0.16333 15.000 15.010 15.005 0.18007 0.17729 0.17751 0.17493 0.17318 0.17310 0.15891 20.000 20.010 20.005 0.13037 0.12940 0.12947 0.12607 0.12647 0.12649 0.11590 25.000 25.010 25.005 0.10652 0.10646 0.10646 0.10333 0.10462 0.10467 0.09576 30.000 30.010 30.005 0.09288 0.09379 0.09372 0.08998 0.09254 0.09266 0.08279 35.000 35.010 35.005 0.08453 0.08690 0.08671 0.08042 0.08601 0.08627 0.07153 40.000 40.010 40.005 0.06564 0.06647 0.06641 0.06346 0.06543 0.06552 0.05913 45.000 45.010 45.005 0.06348 0.06572 0.06554 0.06003 0.06511 0.06536 0.05431 50.000 50.010 50.005 0.04971 0.04899 0.04905 0.04888 0.04798 0.04793 0.04805 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 455.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 3.82691E-02 3.15462E-03 8.72995E-04 4.02762E-03 4.20445E-03 0.022812 9 1 10.0 0.0 180.0 3.38541E-02 3.21367E-03 7.50339E-04 3.96401E-03 4.28314E-03 0.022164 9 4 10.0 45.0 135.0 3.48787E-02 3.19798E-03 7.76047E-04 3.97403E-03 4.26224E-03 0.022250 9 7 10.0 90.0 90.0 3.84110E-02 3.19586E-03 8.72694E-04 4.06856E-03 4.25941E-03 0.022720 8 1 20.0 0.0 180.0 3.30793E-02 3.28046E-03 7.34712E-04 4.01517E-03 4.37216E-03 0.022211 8 4 20.0 45.0 135.0 3.41278E-02 3.23994E-03 7.59466E-04 3.99940E-03 4.31815E-03 0.022254 8 7 20.0 90.0 90.0 3.92264E-02 3.24207E-03 8.87819E-04 4.12989E-03 4.32100E-03 0.022633 7 1 30.0 0.0 180.0 3.47127E-02 3.37720E-03 8.19514E-04 4.19671E-03 4.50110E-03 0.023608 7 4 30.0 45.0 135.0 3.52330E-02 3.35733E-03 8.29053E-04 4.18638E-03 4.47461E-03 0.023531 7 7 30.0 90.0 90.0 4.08989E-02 3.34561E-03 9.68995E-04 4.31461E-03 4.45900E-03 0.023692 6 1 40.0 0.0 180.0 3.93331E-02 3.49413E-03 1.11904E-03 4.61317E-03 4.65695E-03 0.028450 6 4 40.0 45.0 135.0 3.86986E-02 3.45904E-03 1.08765E-03 4.54670E-03 4.61017E-03 0.028106 6 7 40.0 90.0 90.0 4.39453E-02 3.45984E-03 1.22835E-03 4.68819E-03 4.61124E-03 0.027952 5 1 50.0 0.0 180.0 4.82079E-02 3.62851E-03 2.08521E-03 5.71372E-03 4.83604E-03 0.043255 5 4 50.0 45.0 135.0 4.55777E-02 3.56442E-03 1.94324E-03 5.50766E-03 4.75063E-03 0.042636 5 7 50.0 90.0 90.0 4.92945E-02 3.58426E-03 2.03592E-03 5.62018E-03 4.77707E-03 0.041301 4 1 60.0 0.0 180.0 6.41211E-02 3.66617E-03 5.33565E-03 9.00182E-03 4.88623E-03 0.083212 4 4 60.0 45.0 135.0 5.82060E-02 3.58823E-03 4.75469E-03 8.34291E-03 4.78235E-03 0.081687 4 7 60.0 90.0 90.0 5.87638E-02 3.66743E-03 4.63825E-03 8.30568E-03 4.88792E-03 0.078930 3 1 70.0 0.0 180.0 9.40063E-02 3.49170E-03 1.52347E-02 1.87264E-02 4.65370E-03 0.162060 3 4 70.0 45.0 135.0 8.23533E-02 3.44633E-03 1.33664E-02 1.68127E-02 4.59323E-03 0.162305 3 7 70.0 90.0 90.0 7.71217E-02 3.54121E-03 1.24268E-02 1.59680E-02 4.71969E-03 0.161132 2 1 80.0 0.0 180.0 1.59185E-01 3.05988E-03 3.82104E-02 4.12702E-02 4.07817E-03 0.240038 2 4 80.0 45.0 135.0 1.35863E-01 3.00690E-03 3.38968E-02 3.69037E-02 4.00757E-03 0.249492 2 7 80.0 90.0 90.0 1.18044E-01 3.10275E-03 3.07342E-02 3.38369E-02 4.13531E-03 0.260363 1 1 87.5 0.0 180.0 2.49114E-01 2.51566E-03 6.75661E-02 7.00817E-02 3.35285E-03 0.271225 1 4 87.5 45.0 135.0 2.09954E-01 2.34760E-03 6.17093E-02 6.40569E-02 3.12886E-03 0.293917 1 7 87.5 90.0 90.0 1.73579E-01 2.69147E-03 5.48449E-02 5.75363E-02 3.58716E-03 0.315965 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 455.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 4.028E-03 3.827E-02 1.596E-01 1.156E-01 9.226E-01 5.368E-03 1.808E+01 3.155E-03 4.204E-03 1 0.00 0.00 5.847E-03 6.915E-02 1.403E-02 1.568E-02 4.298E-02 8.277E-03 4.935E+00 3 1.74 5.00 3.684E-03 7.900E-02 1.097E-02 1.428E-02 4.484E-02 7.719E-03 5.595E+00 5 4.85 10.00 1.848E-03 7.503E-02 6.501E-03 9.788E-03 2.823E-02 7.343E-03 6.004E+00 7 9.24 15.00 8.152E-04 4.948E-02 3.193E-03 4.815E-03 1.007E-02 7.528E-03 5.799E+00 9 13.12 20.00 4.130E-04 2.817E-02 1.661E-03 2.309E-03 3.785E-03 8.086E-03 5.404E+00 11 15.93 25.00 2.437E-04 1.718E-02 9.855E-04 1.283E-03 1.843E-03 8.511E-03 5.165E+00 13 18.24 30.00 1.560E-04 1.101E-02 6.242E-04 7.747E-04 1.025E-03 8.921E-03 4.977E+00 15 20.27 35.00 1.060E-04 7.272E-03 4.104E-04 4.910E-04 6.133E-04 9.472E-03 4.783E+00 17 21.91 40.00 7.666E-05 5.086E-03 2.839E-04 3.285E-04 3.925E-04 1.002E-02 4.618E+00 19 23.24 45.00 5.768E-05 3.736E-03 2.066E-04 2.344E-04 2.726E-04 1.045E-02 4.506E+00 21 24.33 50.00 4.475E-05 2.854E-03 1.547E-04 1.717E-04 1.943E-04 1.077E-02 4.426E+00 Waveband 6 of 30 completed in 7.2 sec. * * * * * Output for wavelength band 7 (460.0 to 470.0 nm; nominal wavelength = 465.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 174.0 m at 465.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 460.0 nm to 470.0 nm: Ed(diffuse) = 3.567E-01 Ed(direct) = 3.949E-01 Ed(total) = 7.516E-01 Absorption Coefficients of Individual Components at 465.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0101 0.0281 0.0000 0.0047 0.0430 3 1.722 5.000 0.0101 0.0346 0.0000 0.0058 0.0505 5 4.802 10.000 0.0101 0.0677 0.0000 0.0117 0.0896 7 9.157 15.000 0.0101 0.0735 0.0000 0.0128 0.0964 9 13.005 20.000 0.0101 0.0528 0.0000 0.0091 0.0720 11 15.791 25.000 0.0101 0.0430 0.0000 0.0073 0.0604 13 18.071 30.000 0.0101 0.0375 0.0000 0.0064 0.0540 15 20.081 35.000 0.0101 0.0346 0.0000 0.0058 0.0505 17 21.701 40.000 0.0101 0.0245 0.0000 0.0041 0.0387 19 23.008 45.000 0.0101 0.0245 0.0000 0.0041 0.0387 21 24.080 50.000 0.0101 0.0161 0.0000 0.0026 0.0288 Scattering Coefficients of Individual Components at 465.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0040 0.1265 0.1307 0.0000 0.2612 3 1.722 5.000 0.0040 0.1515 0.1774 0.0000 0.3328 5 4.802 10.000 0.0040 0.2634 0.4710 0.0000 0.7383 7 9.157 15.000 0.0040 0.2816 0.5318 0.0000 0.8174 9 13.005 20.000 0.0040 0.2161 0.3292 0.0000 0.5493 11 15.791 25.000 0.0040 0.1824 0.2442 0.0000 0.4306 13 18.071 30.000 0.0040 0.1625 0.2000 0.0000 0.3665 15 20.081 35.000 0.0040 0.1515 0.1774 0.0000 0.3328 17 21.701 40.000 0.0040 0.1121 0.1066 0.0000 0.2226 19 23.008 45.000 0.0040 0.1121 0.1066 0.0000 0.2226 21 24.080 50.000 0.0040 0.0761 0.0558 0.0000 0.1358 Backscattering Coefficients of Individual Components at 465.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00198 0.00177 0.00023 0.00000 0.00398 3 1.722 5.000 0.00198 0.00212 0.00031 0.00000 0.00441 5 4.802 10.000 0.00198 0.00369 0.00083 0.00000 0.00650 7 9.157 15.000 0.00198 0.00395 0.00094 0.00000 0.00686 9 13.005 20.000 0.00198 0.00303 0.00058 0.00000 0.00559 11 15.791 25.000 0.00198 0.00256 0.00043 0.00000 0.00496 13 18.071 30.000 0.00198 0.00228 0.00035 0.00000 0.00461 15 20.081 35.000 0.00198 0.00212 0.00031 0.00000 0.00441 17 21.701 40.000 0.00198 0.00157 0.00019 0.00000 0.00374 19 23.008 45.000 0.00198 0.00157 0.00019 0.00000 0.00374 21 24.080 50.000 0.00198 0.00107 0.00010 0.00000 0.00314 Summary of Inherent Optical Properties at 465.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0430 0.2612 0.3042 0.8588 0.00398 0.01524 3 1.722 5.000 0.0505 0.3328 0.3833 0.8682 0.00441 0.01326 5 4.802 10.000 0.0896 0.7383 0.8279 0.8918 0.00650 0.00880 7 9.157 15.000 0.0964 0.8174 0.9138 0.8945 0.00686 0.00839 9 13.005 20.000 0.0720 0.5493 0.6213 0.8841 0.00559 0.01017 11 15.791 25.000 0.0604 0.4306 0.4910 0.8769 0.00496 0.01153 13 18.071 30.000 0.0540 0.3665 0.4205 0.8716 0.00461 0.01257 15 20.081 35.000 0.0505 0.3328 0.3833 0.8682 0.00441 0.01326 17 21.701 40.000 0.0387 0.2226 0.2613 0.8517 0.00374 0.01678 19 23.008 45.000 0.0387 0.2226 0.2613 0.8517 0.00374 0.01678 21 24.080 50.000 0.0288 0.1358 0.1646 0.8250 0.00314 0.02313 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4189E-01 8 20.00 8.0218E-01 7 30.00 6.2122E-01 6 40.00 4.4344E-01 5 50.00 2.9730E-01 4 60.00 1.9156E-01 3 70.00 1.2174E-01 2 80.00 7.8663E-02 1 87.50 5.7485E-02 1 92.50 4.6371E-02 2 100.00 3.5704E-02 3 110.00 2.6900E-02 4 120.00 2.1514E-02 5 130.00 1.8241E-02 6 140.00 1.6244E-02 7 150.00 1.5032E-02 8 160.00 1.4319E-02 9 170.00 1.3944E-02 10 180.00 1.3811E-02 Asymptotic AOP values are MUu(inf) = 0.3924 MUd(inf) = 0.7227 MU(inf) = 0.6354 R(inf) = 0.0461 Lu(inf)/Ed(inf) = 0.010450 (1/sr) k(inf) = 0.0453 (1/m) absorp(check) = 0.0288 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 465.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.9494E-01 1.7495E+00 2.0445E+00 7.3273E-02 7.5157E-01 0.2484 0.4296 0.3318 9.7493E-02 1 0.00 0.00 7.5784E-02 9.6918E-01 1.0450E+00 3.0225E-02 7.0852E-01 0.3988 0.7310 0.6491 4.2659E-02 3 1.72 5.00 6.0904E-02 7.1682E-01 7.7772E-01 2.2211E-02 4.8797E-01 0.3647 0.6807 0.5989 4.5518E-02 5 4.80 10.00 3.6129E-02 4.0306E-01 4.3919E-01 1.2466E-02 2.6578E-01 0.3451 0.6594 0.5768 4.6905E-02 7 9.16 15.00 1.6015E-02 1.7863E-01 1.9464E-01 5.5311E-03 1.1924E-01 0.3454 0.6675 0.5842 4.6388E-02 9 13.00 20.00 7.5710E-03 8.5735E-02 9.3306E-02 2.6817E-03 5.8286E-02 0.3542 0.6798 0.5959 4.6010E-02 11 15.79 25.00 4.2759E-03 4.8797E-02 5.3073E-02 1.5422E-03 3.3566E-02 0.3607 0.6879 0.6034 4.5945E-02 13 18.07 30.00 2.6415E-03 3.0227E-02 3.2869E-02 9.6644E-04 2.0956E-02 0.3659 0.6933 0.6082 4.6117E-02 15 20.08 35.00 1.7181E-03 1.9616E-02 2.1334E-02 6.3806E-04 1.3675E-02 0.3714 0.6971 0.6111 4.6659E-02 17 21.70 40.00 1.1863E-03 1.3552E-02 1.4738E-02 4.4853E-04 9.4982E-03 0.3781 0.7009 0.6140 4.7223E-02 19 23.01 45.00 8.6608E-04 9.8650E-03 1.0731E-02 3.3132E-04 6.9435E-03 0.3826 0.7039 0.6162 4.7717E-02 21 24.08 50.00 6.5286E-04 7.4658E-03 8.1187E-03 2.5349E-04 5.2796E-03 0.3883 0.7072 0.6191 4.8013E-02 K-functions (units of 1/meter) at 465.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.03574 0.05121 0.05009 0.04813 0.06510 0.06586 0.07407 5.000 5.010 5.005 0.06254 0.07450 0.07356 0.07732 0.08377 0.08407 0.09992 10.000 10.010 10.005 0.14870 0.15368 0.15327 0.15320 0.15483 0.15491 0.15541 15.000 15.010 15.005 0.17239 0.16869 0.16900 0.16793 0.16474 0.16459 0.15289 20.000 20.010 20.005 0.12566 0.12358 0.12375 0.12164 0.12060 0.12055 0.11176 25.000 25.010 25.005 0.10281 0.10181 0.10189 0.09981 0.09990 0.09990 0.09242 30.000 30.010 30.005 0.08980 0.08978 0.08978 0.08715 0.08845 0.08852 0.08017 35.000 35.010 35.005 0.08276 0.08322 0.08318 0.07890 0.08226 0.08243 0.06993 40.000 40.010 40.005 0.06388 0.06400 0.06399 0.06181 0.06284 0.06289 0.05746 45.000 45.010 45.005 0.06293 0.06318 0.06316 0.05945 0.06250 0.06266 0.05328 50.000 50.010 50.005 0.04835 0.04753 0.04759 0.04737 0.04637 0.04632 0.04643 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 465.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 3.74735E-02 3.29128E-03 8.54845E-04 4.14612E-03 4.37920E-03 0.022812 9 1 10.0 0.0 180.0 3.31503E-02 3.34234E-03 7.34739E-04 4.07707E-03 4.44713E-03 0.022164 9 4 10.0 45.0 135.0 3.41535E-02 3.32939E-03 7.59913E-04 4.08930E-03 4.42991E-03 0.022250 9 7 10.0 90.0 90.0 3.76124E-02 3.33551E-03 8.54550E-04 4.19006E-03 4.43805E-03 0.022720 8 1 20.0 0.0 180.0 3.23915E-02 3.40667E-03 7.19436E-04 4.12611E-03 4.53274E-03 0.022211 8 4 20.0 45.0 135.0 3.34183E-02 3.37019E-03 7.43676E-04 4.11387E-03 4.48420E-03 0.022254 8 7 20.0 90.0 90.0 3.84108E-02 3.38618E-03 8.69361E-04 4.25554E-03 4.50548E-03 0.022633 7 1 30.0 0.0 180.0 3.39910E-02 3.50319E-03 8.02476E-04 4.30566E-03 4.66116E-03 0.023608 7 4 30.0 45.0 135.0 3.45005E-02 3.49041E-03 8.11816E-04 4.30223E-03 4.64416E-03 0.023531 7 7 30.0 90.0 90.0 4.00485E-02 3.49747E-03 9.48848E-04 4.44632E-03 4.65355E-03 0.023692 6 1 40.0 0.0 180.0 3.85153E-02 3.62122E-03 1.09577E-03 4.71699E-03 4.81820E-03 0.028450 6 4 40.0 45.0 135.0 3.78940E-02 3.59528E-03 1.06504E-03 4.66032E-03 4.78369E-03 0.028106 6 7 40.0 90.0 90.0 4.30316E-02 3.62197E-03 1.20281E-03 4.82478E-03 4.81921E-03 0.027952 5 1 50.0 0.0 180.0 4.72056E-02 3.75888E-03 2.04186E-03 5.80073E-03 5.00136E-03 0.043255 5 4 50.0 45.0 135.0 4.46301E-02 3.70490E-03 1.90284E-03 5.60774E-03 4.92955E-03 0.042636 5 7 50.0 90.0 90.0 4.82696E-02 3.75647E-03 1.99358E-03 5.75005E-03 4.99815E-03 0.041301 4 1 60.0 0.0 180.0 6.27879E-02 3.79666E-03 5.22472E-03 9.02138E-03 5.05163E-03 0.083212 4 4 60.0 45.0 135.0 5.69963E-02 3.72988E-03 4.65584E-03 8.38572E-03 4.96279E-03 0.081687 4 7 60.0 90.0 90.0 5.75394E-02 3.84738E-03 4.54180E-03 8.38918E-03 5.11912E-03 0.078934 3 1 70.0 0.0 180.0 9.20518E-02 3.61507E-03 1.49179E-02 1.85330E-02 4.81002E-03 0.162060 3 4 70.0 45.0 135.0 8.06411E-02 3.58251E-03 1.30885E-02 1.66710E-02 4.76670E-03 0.162305 3 7 70.0 90.0 90.0 7.55183E-02 3.71745E-03 1.21684E-02 1.58858E-02 4.94624E-03 0.161132 2 1 80.0 0.0 180.0 1.55875E-01 3.16717E-03 3.74159E-02 4.05831E-02 4.21407E-03 0.240038 2 4 80.0 45.0 135.0 1.33039E-01 3.12556E-03 3.31921E-02 3.63177E-02 4.15870E-03 0.249492 2 7 80.0 90.0 90.0 1.15589E-01 3.25833E-03 3.00951E-02 3.33535E-02 4.33536E-03 0.260363 1 1 87.5 0.0 180.0 2.43935E-01 2.60301E-03 6.61613E-02 6.87643E-02 3.46343E-03 0.271225 1 4 87.5 45.0 135.0 2.05589E-01 2.43975E-03 6.04263E-02 6.28660E-02 3.24621E-03 0.293917 1 7 87.5 90.0 90.0 1.69970E-01 2.82628E-03 5.37045E-02 5.65308E-02 3.76050E-03 0.315965 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 465.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 4.146E-03 3.747E-02 1.563E-01 1.133E-01 9.196E-01 5.517E-03 1.767E+01 3.291E-03 4.379E-03 1 0.00 0.00 6.099E-03 6.772E-02 1.444E-02 1.633E-02 4.461E-02 8.609E-03 4.955E+00 3 1.72 5.00 3.958E-03 7.904E-02 1.149E-02 1.508E-02 4.751E-02 8.111E-03 5.612E+00 5 4.80 10.00 2.065E-03 7.766E-02 7.131E-03 1.082E-02 3.137E-02 7.770E-03 6.037E+00 7 9.16 15.00 9.447E-04 5.341E-02 3.672E-03 5.579E-03 1.175E-02 7.923E-03 5.855E+00 9 13.00 20.00 4.901E-04 3.152E-02 1.977E-03 2.770E-03 4.577E-03 8.409E-03 5.472E+00 11 15.79 25.00 2.946E-04 1.974E-02 1.202E-03 1.576E-03 2.282E-03 8.777E-03 5.235E+00 13 18.07 30.00 1.914E-04 1.294E-02 7.764E-04 9.702E-04 1.293E-03 9.134E-03 5.049E+00 15 20.08 35.00 1.314E-04 8.723E-03 5.194E-04 6.253E-04 7.865E-04 9.611E-03 4.855E+00 17 21.70 40.00 9.577E-05 6.202E-03 3.628E-04 4.224E-04 5.080E-04 1.008E-02 4.684E+00 19 23.01 45.00 7.256E-05 4.619E-03 2.668E-04 3.045E-04 3.562E-04 1.045E-02 4.566E+00 21 24.08 50.00 5.663E-05 3.568E-03 2.004E-04 2.235E-04 2.545E-04 1.073E-02 4.476E+00 Waveband 7 of 30 completed in 7.1 sec. * * * * * Output for wavelength band 8 (470.0 to 480.0 nm; nominal wavelength = 475.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 174.0 m at 475.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 470.0 nm to 480.0 nm: Ed(diffuse) = 3.565E-01 Ed(direct) = 4.105E-01 Ed(total) = 7.670E-01 Absorption Coefficients of Individual Components at 475.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0114 0.0259 0.0000 0.0041 0.0414 3 1.703 5.000 0.0114 0.0318 0.0000 0.0051 0.0483 5 4.756 10.000 0.0114 0.0620 0.0000 0.0102 0.0836 7 9.078 15.000 0.0114 0.0672 0.0000 0.0111 0.0897 9 12.895 20.000 0.0114 0.0485 0.0000 0.0079 0.0677 11 15.654 25.000 0.0114 0.0395 0.0000 0.0064 0.0573 13 17.912 30.000 0.0114 0.0345 0.0000 0.0055 0.0514 15 19.900 35.000 0.0114 0.0318 0.0000 0.0051 0.0483 17 21.501 40.000 0.0114 0.0226 0.0000 0.0036 0.0376 19 22.793 45.000 0.0114 0.0226 0.0000 0.0036 0.0376 21 23.852 50.000 0.0114 0.0149 0.0000 0.0023 0.0286 Scattering Coefficients of Individual Components at 475.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0036 0.1257 0.1299 0.0000 0.2593 3 1.703 5.000 0.0036 0.1507 0.1765 0.0000 0.3309 5 4.756 10.000 0.0036 0.2634 0.4710 0.0000 0.7380 7 9.078 15.000 0.0036 0.2816 0.5318 0.0000 0.8171 9 12.895 20.000 0.0036 0.2157 0.3287 0.0000 0.5480 11 15.654 25.000 0.0036 0.1818 0.2435 0.0000 0.4289 13 17.912 30.000 0.0036 0.1618 0.1992 0.0000 0.3646 15 19.900 35.000 0.0036 0.1507 0.1765 0.0000 0.3309 17 21.501 40.000 0.0036 0.1112 0.1058 0.0000 0.2206 19 22.793 45.000 0.0036 0.1112 0.1058 0.0000 0.2206 21 23.852 50.000 0.0036 0.0753 0.0552 0.0000 0.1341 Backscattering Coefficients of Individual Components at 475.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00180 0.00176 0.00023 0.00000 0.00379 3 1.703 5.000 0.00180 0.00211 0.00031 0.00000 0.00423 5 4.756 10.000 0.00180 0.00369 0.00083 0.00000 0.00632 7 9.078 15.000 0.00180 0.00395 0.00094 0.00000 0.00669 9 12.895 20.000 0.00180 0.00302 0.00058 0.00000 0.00541 11 15.654 25.000 0.00180 0.00255 0.00043 0.00000 0.00478 13 17.912 30.000 0.00180 0.00227 0.00035 0.00000 0.00442 15 19.900 35.000 0.00180 0.00211 0.00031 0.00000 0.00423 17 21.501 40.000 0.00180 0.00156 0.00019 0.00000 0.00355 19 22.793 45.000 0.00180 0.00156 0.00019 0.00000 0.00355 21 23.852 50.000 0.00180 0.00106 0.00010 0.00000 0.00296 Summary of Inherent Optical Properties at 475.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0414 0.2593 0.3007 0.8622 0.00379 0.01464 3 1.703 5.000 0.0483 0.3309 0.3792 0.8727 0.00423 0.01277 5 4.756 10.000 0.0836 0.7380 0.8216 0.8982 0.00632 0.00857 7 9.078 15.000 0.0897 0.8171 0.9068 0.9010 0.00669 0.00818 9 12.895 20.000 0.0677 0.5480 0.6158 0.8900 0.00541 0.00986 11 15.654 25.000 0.0573 0.4289 0.4861 0.8822 0.00478 0.01115 13 17.912 30.000 0.0514 0.3646 0.4160 0.8764 0.00442 0.01213 15 19.900 35.000 0.0483 0.3309 0.3792 0.8727 0.00423 0.01277 17 21.501 40.000 0.0376 0.2206 0.2582 0.8544 0.00355 0.01608 19 22.793 45.000 0.0376 0.2206 0.2582 0.8544 0.00355 0.01608 21 23.852 50.000 0.0286 0.1341 0.1626 0.8244 0.00296 0.02204 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4178E-01 8 20.00 8.0181E-01 7 30.00 6.2051E-01 6 40.00 4.4244E-01 5 50.00 2.9610E-01 4 60.00 1.9029E-01 3 70.00 1.2049E-01 2 80.00 7.7490E-02 1 87.50 5.6386E-02 1 92.50 4.5326E-02 2 100.00 3.4730E-02 3 110.00 2.6007E-02 4 120.00 2.0685E-02 5 130.00 1.7459E-02 6 140.00 1.5495E-02 7 150.00 1.4305E-02 8 160.00 1.3606E-02 9 170.00 1.3239E-02 10 180.00 1.3108E-02 Asymptotic AOP values are MUu(inf) = 0.3898 MUd(inf) = 0.7237 MU(inf) = 0.6390 R(inf) = 0.0444 Lu(inf)/Ed(inf) = 0.009941 (1/sr) k(inf) = 0.0447 (1/m) absorp(check) = 0.0286 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 475.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 3.0020E-01 1.7804E+00 2.0806E+00 7.5003E-02 7.6699E-01 0.2498 0.4308 0.3326 9.7789E-02 1 0.00 0.00 7.9581E-02 9.9133E-01 1.0709E+00 3.1830E-02 7.2381E-01 0.4000 0.7301 0.6462 4.3976E-02 3 1.70 5.00 6.5902E-02 7.4439E-01 8.1029E-01 2.4168E-02 5.0592E-01 0.3667 0.6796 0.5945 4.7771E-02 5 4.76 10.00 4.1078E-02 4.3338E-01 4.7446E-01 1.4218E-02 2.8436E-01 0.3461 0.6561 0.5694 5.0000E-02 7 9.08 15.00 1.9042E-02 2.0110E-01 2.2014E-01 6.5701E-03 1.3329E-01 0.3450 0.6628 0.5756 4.9293E-02 9 12.89 20.00 9.2145E-03 1.0010E-01 1.0932E-01 3.2490E-03 6.7576E-02 0.3526 0.6751 0.5884 4.8079E-02 11 15.65 25.00 5.2747E-03 5.8352E-02 6.3626E-02 1.8904E-03 3.9883E-02 0.3584 0.6835 0.5971 4.7399E-02 13 17.91 30.00 3.2892E-03 3.6813E-02 4.0103E-02 1.1938E-03 2.5377E-02 0.3629 0.6893 0.6030 4.7041E-02 15 19.90 35.00 2.1480E-03 2.4261E-02 2.6409E-02 7.8931E-04 1.6827E-02 0.3675 0.6936 0.6073 4.6906E-02 17 21.50 40.00 1.4773E-03 1.6941E-02 1.8418E-02 5.5261E-04 1.1824E-02 0.3741 0.6980 0.6120 4.6735E-02 19 22.79 45.00 1.0758E-03 1.2423E-02 1.3498E-02 4.0672E-04 8.7141E-03 0.3780 0.7015 0.6154 4.6674E-02 21 23.85 50.00 8.0412E-04 9.4420E-03 1.0246E-02 3.0944E-04 6.6617E-03 0.3848 0.7055 0.6200 4.6450E-02 K-functions (units of 1/meter) at 475.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.03197 0.04938 0.04809 0.04326 0.06278 0.06368 0.06871 5.000 5.010 5.005 0.05379 0.07065 0.06928 0.06874 0.08024 0.08082 0.09189 10.000 10.010 10.005 0.13873 0.14438 0.14389 0.14391 0.14624 0.14636 0.14739 15.000 15.010 15.005 0.16527 0.15952 0.16001 0.16189 0.15578 0.15546 0.14824 20.000 20.010 20.005 0.12225 0.11810 0.11845 0.11865 0.11498 0.11479 0.10917 25.000 25.010 25.005 0.10050 0.09778 0.09801 0.09781 0.09572 0.09562 0.09075 30.000 30.010 30.005 0.08823 0.08651 0.08665 0.08602 0.08505 0.08501 0.07940 35.000 35.010 35.005 0.08321 0.08035 0.08058 0.07972 0.07927 0.07925 0.07045 40.000 40.010 40.005 0.06382 0.06264 0.06273 0.06189 0.06124 0.06121 0.05743 45.000 45.010 45.005 0.06481 0.06167 0.06192 0.06116 0.06087 0.06085 0.05403 50.000 50.010 50.005 0.04843 0.04732 0.04741 0.04716 0.04589 0.04583 0.04598 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 475.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 3.74545E-02 3.45717E-03 8.54412E-04 4.31158E-03 4.50748E-03 0.022812 9 1 10.0 0.0 180.0 3.31335E-02 3.49985E-03 7.34367E-04 4.23422E-03 4.56313E-03 0.022164 9 4 10.0 45.0 135.0 3.41363E-02 3.48975E-03 7.59528E-04 4.24927E-03 4.54995E-03 0.022250 9 7 10.0 90.0 90.0 3.75933E-02 3.50483E-03 8.54117E-04 4.35895E-03 4.56963E-03 0.022720 8 1 20.0 0.0 180.0 3.23751E-02 3.56190E-03 7.19072E-04 4.28098E-03 4.64403E-03 0.022211 8 4 20.0 45.0 135.0 3.34014E-02 3.52945E-03 7.43300E-04 4.27275E-03 4.60172E-03 0.022254 8 7 20.0 90.0 90.0 3.83914E-02 3.56052E-03 8.68921E-04 4.42944E-03 4.64223E-03 0.022633 7 1 30.0 0.0 180.0 3.39738E-02 3.65865E-03 8.02069E-04 4.46072E-03 4.77017E-03 0.023608 7 4 30.0 45.0 135.0 3.44830E-02 3.65322E-03 8.11406E-04 4.46462E-03 4.76309E-03 0.023531 7 7 30.0 90.0 90.0 4.00283E-02 3.68063E-03 9.48368E-04 4.62900E-03 4.79883E-03 0.023692 6 1 40.0 0.0 180.0 3.84959E-02 3.77815E-03 1.09522E-03 4.87337E-03 4.92598E-03 0.028450 6 4 40.0 45.0 135.0 3.78748E-02 3.76155E-03 1.06450E-03 4.82605E-03 4.90434E-03 0.028106 6 7 40.0 90.0 90.0 4.30098E-02 3.81649E-03 1.20220E-03 5.01869E-03 4.97596E-03 0.027952 5 1 50.0 0.0 180.0 4.71817E-02 3.91929E-03 2.04082E-03 5.96012E-03 5.11000E-03 0.043255 5 4 50.0 45.0 135.0 4.46075E-02 3.87541E-03 1.90188E-03 5.77729E-03 5.05279E-03 0.042636 5 7 50.0 90.0 90.0 4.82451E-02 3.96180E-03 1.99257E-03 5.95438E-03 5.16542E-03 0.041301 4 1 60.0 0.0 180.0 6.27561E-02 3.95636E-03 5.22207E-03 9.17843E-03 5.15832E-03 0.083212 4 4 60.0 45.0 135.0 5.69678E-02 3.90066E-03 4.65348E-03 8.55415E-03 5.08571E-03 0.081686 4 7 60.0 90.0 90.0 5.75077E-02 4.06057E-03 4.53949E-03 8.60005E-03 5.29419E-03 0.078937 3 1 70.0 0.0 180.0 9.20052E-02 3.76456E-03 1.49104E-02 1.86749E-02 4.90826E-03 0.162060 3 4 70.0 45.0 135.0 8.06003E-02 3.74498E-03 1.30819E-02 1.68269E-02 4.88273E-03 0.162305 3 7 70.0 90.0 90.0 7.54801E-02 3.92445E-03 1.21622E-02 1.60866E-02 5.11672E-03 0.161131 2 1 80.0 0.0 180.0 1.55796E-01 3.29584E-03 3.73970E-02 4.06928E-02 4.29713E-03 0.240038 2 4 80.0 45.0 135.0 1.32971E-01 3.26561E-03 3.31753E-02 3.64409E-02 4.25773E-03 0.249492 2 7 80.0 90.0 90.0 1.15531E-01 3.43958E-03 3.00799E-02 3.35195E-02 4.48455E-03 0.260362 1 1 87.5 0.0 180.0 2.43812E-01 2.70646E-03 6.61278E-02 6.88343E-02 3.52871E-03 0.271225 1 4 87.5 45.0 135.0 2.05485E-01 2.54723E-03 6.03957E-02 6.29429E-02 3.32110E-03 0.293918 1 7 87.5 90.0 90.0 1.69884E-01 2.98192E-03 5.36772E-02 5.66592E-02 3.88785E-03 0.315964 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 475.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 4.312E-03 3.745E-02 1.563E-01 1.133E-01 9.342E-01 5.621E-03 1.740E+01 3.457E-03 4.507E-03 1 0.00 0.00 6.406E-03 6.769E-02 1.487E-02 1.704E-02 4.673E-02 8.851E-03 4.968E+00 3 1.70 5.00 4.296E-03 8.036E-02 1.207E-02 1.599E-02 5.071E-02 8.491E-03 5.626E+00 5 4.76 10.00 2.338E-03 8.154E-02 7.914E-03 1.211E-02 3.533E-02 8.222E-03 6.081E+00 7 9.08 15.00 1.106E-03 5.854E-02 4.293E-03 6.580E-03 1.396E-02 8.299E-03 5.939E+00 9 12.89 20.00 5.832E-04 3.582E-02 2.385E-03 3.371E-03 5.618E-03 8.630E-03 5.571E+00 11 15.65 25.00 3.541E-04 2.301E-02 1.476E-03 1.953E-03 2.852E-03 8.879E-03 5.338E+00 13 17.91 30.00 2.315E-04 1.539E-02 9.670E-04 1.218E-03 1.636E-03 9.122E-03 5.157E+00 15 19.90 35.00 1.591E-04 1.055E-02 6.542E-04 7.935E-04 1.006E-03 9.452E-03 4.962E+00 17 21.50 40.00 1.157E-04 7.603E-03 4.568E-04 5.357E-04 6.492E-04 9.782E-03 4.777E+00 19 22.79 45.00 8.749E-05 5.716E-03 3.369E-04 3.870E-04 4.562E-04 1.004E-02 4.649E+00 21 23.85 50.00 6.819E-05 4.448E-03 2.504E-04 2.812E-04 3.224E-04 1.024E-02 4.538E+00 Waveband 8 of 30 completed in 7.0 sec. * * * * * Output for wavelength band 9 (480.0 to 490.0 nm; nominal wavelength = 485.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 174.0 m at 485.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 480.0 nm to 490.0 nm: Ed(diffuse) = 3.402E-01 Ed(direct) = 4.057E-01 Ed(total) = 7.459E-01 Absorption Coefficients of Individual Components at 485.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0136 0.0236 0.0000 0.0036 0.0407 3 1.688 5.000 0.0136 0.0289 0.0000 0.0044 0.0470 5 4.720 10.000 0.0136 0.0565 0.0000 0.0089 0.0789 7 9.016 15.000 0.0136 0.0612 0.0000 0.0097 0.0845 9 12.809 20.000 0.0136 0.0441 0.0000 0.0069 0.0646 11 15.548 25.000 0.0136 0.0359 0.0000 0.0055 0.0551 13 17.787 30.000 0.0136 0.0314 0.0000 0.0048 0.0498 15 19.759 35.000 0.0136 0.0289 0.0000 0.0044 0.0470 17 21.346 40.000 0.0136 0.0206 0.0000 0.0031 0.0373 19 22.626 45.000 0.0136 0.0206 0.0000 0.0031 0.0373 21 23.678 50.000 0.0136 0.0135 0.0000 0.0020 0.0291 Scattering Coefficients of Individual Components at 485.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0033 0.1250 0.1291 0.0000 0.2573 3 1.688 5.000 0.0033 0.1500 0.1757 0.0000 0.3290 5 4.720 10.000 0.0033 0.2634 0.4710 0.0000 0.7377 7 9.016 15.000 0.0033 0.2816 0.5318 0.0000 0.8168 9 12.809 20.000 0.0033 0.2154 0.3282 0.0000 0.5468 11 15.548 25.000 0.0033 0.1812 0.2427 0.0000 0.4272 13 17.787 30.000 0.0033 0.1611 0.1984 0.0000 0.3628 15 19.759 35.000 0.0033 0.1500 0.1757 0.0000 0.3290 17 21.346 40.000 0.0033 0.1104 0.1050 0.0000 0.2187 19 22.626 45.000 0.0033 0.1104 0.1050 0.0000 0.2187 21 23.678 50.000 0.0033 0.0745 0.0546 0.0000 0.1324 Backscattering Coefficients of Individual Components at 485.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00165 0.00175 0.00023 0.00000 0.00363 3 1.688 5.000 0.00165 0.00210 0.00031 0.00000 0.00406 5 4.720 10.000 0.00165 0.00369 0.00083 0.00000 0.00617 7 9.016 15.000 0.00165 0.00395 0.00094 0.00000 0.00653 9 12.809 20.000 0.00165 0.00302 0.00058 0.00000 0.00524 11 15.548 25.000 0.00165 0.00254 0.00043 0.00000 0.00462 13 17.787 30.000 0.00165 0.00226 0.00035 0.00000 0.00426 15 19.759 35.000 0.00165 0.00210 0.00031 0.00000 0.00406 17 21.346 40.000 0.00165 0.00155 0.00018 0.00000 0.00338 19 22.626 45.000 0.00165 0.00155 0.00018 0.00000 0.00338 21 23.678 50.000 0.00165 0.00104 0.00010 0.00000 0.00279 Summary of Inherent Optical Properties at 485.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0407 0.2573 0.2981 0.8633 0.00363 0.01409 3 1.688 5.000 0.0470 0.3290 0.3760 0.8751 0.00406 0.01234 5 4.720 10.000 0.0789 0.7377 0.8166 0.9033 0.00617 0.00836 7 9.016 15.000 0.0845 0.8168 0.9013 0.9062 0.00653 0.00800 9 12.809 20.000 0.0646 0.5468 0.6114 0.8944 0.00524 0.00959 11 15.548 25.000 0.0551 0.4272 0.4823 0.8858 0.00462 0.01080 13 17.787 30.000 0.0498 0.3628 0.4126 0.8793 0.00426 0.01173 15 19.759 35.000 0.0470 0.3290 0.3760 0.8751 0.00406 0.01234 17 21.346 40.000 0.0373 0.2187 0.2560 0.8544 0.00338 0.01545 19 22.626 45.000 0.0373 0.2187 0.2560 0.8544 0.00338 0.01545 21 23.678 50.000 0.0291 0.1324 0.1615 0.8198 0.00279 0.02106 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.4078E-01 8 20.00 7.9868E-01 7 30.00 6.1528E-01 6 40.00 4.3606E-01 5 50.00 2.8971E-01 4 60.00 1.8466E-01 3 70.00 1.1589E-01 2 80.00 7.3861E-02 1 87.50 5.3382E-02 1 92.50 4.2708E-02 2 100.00 3.2527E-02 3 110.00 2.4191E-02 4 120.00 1.9136E-02 5 130.00 1.6089E-02 6 140.00 1.4242E-02 7 150.00 1.3127E-02 8 160.00 1.2475E-02 9 170.00 1.2132E-02 10 180.00 1.2011E-02 Asymptotic AOP values are MUu(inf) = 0.3873 MUd(inf) = 0.7270 MU(inf) = 0.6465 R(inf) = 0.0415 Lu(inf)/Ed(inf) = 0.009218 (1/sr) k(inf) = 0.0450 (1/m) absorp(check) = 0.0291 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 485.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.9093E-01 1.7271E+00 2.0180E+00 7.2959E-02 7.4590E-01 0.2508 0.4319 0.3335 9.7813E-02 1 0.00 0.00 7.8106E-02 9.6502E-01 1.0431E+00 3.1327E-02 7.0427E-01 0.4011 0.7298 0.6451 4.4482E-02 3 1.69 5.00 6.6476E-02 7.3087E-01 7.9735E-01 2.4505E-02 4.9643E-01 0.3686 0.6792 0.5919 4.9362E-02 5 4.72 10.00 4.3271E-02 4.3708E-01 4.8035E-01 1.5009E-02 2.8572E-01 0.3469 0.6537 0.5636 5.2532E-02 7 9.02 15.00 2.0775E-02 2.1043E-01 2.3121E-01 7.1520E-03 1.3869E-01 0.3443 0.6590 0.5689 5.1570E-02 9 12.81 20.00 1.0190E-02 1.0776E-01 1.1795E-01 3.5718E-03 7.2342E-02 0.3505 0.6713 0.5830 4.9375E-02 11 15.55 25.00 5.8630E-03 6.3890E-02 6.9753E-02 2.0849E-03 4.3462E-02 0.3556 0.6803 0.5932 4.7971E-02 13 17.79 30.00 3.6619E-03 4.0791E-02 4.4453E-02 1.3161E-03 2.8009E-02 0.3594 0.6866 0.6005 4.6987E-02 15 19.76 35.00 2.3821E-03 2.7136E-02 2.9518E-02 8.6426E-04 1.8761E-02 0.3628 0.6914 0.6063 4.6068E-02 17 21.35 40.00 1.6181E-03 1.9039E-02 2.0657E-02 5.9760E-04 1.3261E-02 0.3693 0.6965 0.6130 4.5064E-02 19 22.63 45.00 1.1667E-03 1.3986E-02 1.5152E-02 4.3495E-04 9.7994E-03 0.3728 0.7007 0.6180 4.4385E-02 21 23.68 50.00 8.5732E-04 1.0617E-02 1.1474E-02 3.2657E-04 7.4917E-03 0.3809 0.7057 0.6245 4.3591E-02 K-functions (units of 1/meter) at 485.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.02826 0.04867 0.04714 0.03876 0.06165 0.06272 0.06394 5.000 5.010 5.005 0.04554 0.06818 0.06630 0.06084 0.07803 0.07892 0.08483 10.000 10.010 10.005 0.13058 0.13690 0.13633 0.13645 0.13942 0.13959 0.14132 15.000 15.010 15.005 0.16026 0.15215 0.15288 0.15801 0.14861 0.14810 0.14583 20.000 20.010 20.005 0.12060 0.11408 0.11464 0.11744 0.11078 0.11044 0.10841 25.000 25.010 25.005 0.09978 0.09508 0.09547 0.09744 0.09283 0.09260 0.09076 30.000 30.010 30.005 0.08818 0.08448 0.08478 0.08647 0.08286 0.08268 0.08028 35.000 35.010 35.005 0.08541 0.07867 0.07921 0.08232 0.07744 0.07721 0.07265 40.000 40.010 40.005 0.06516 0.06242 0.06264 0.06340 0.06074 0.06061 0.05878 45.000 45.010 45.005 0.06849 0.06126 0.06182 0.06460 0.06031 0.06011 0.05619 50.000 50.010 50.005 0.04975 0.04825 0.04836 0.04809 0.04647 0.04640 0.04658 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 485.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 3.57472E-02 3.39755E-03 8.15466E-04 4.21302E-03 4.55494E-03 0.022812 9 1 10.0 0.0 180.0 3.16232E-02 3.42988E-03 7.00893E-04 4.13077E-03 4.59828E-03 0.022164 9 4 10.0 45.0 135.0 3.25802E-02 3.42296E-03 7.24907E-04 4.14787E-03 4.58901E-03 0.022250 9 7 10.0 90.0 90.0 3.58797E-02 3.44536E-03 8.15185E-04 4.26054E-03 4.61903E-03 0.022720 8 1 20.0 0.0 180.0 3.08994E-02 3.48594E-03 6.86295E-04 4.17224E-03 4.67344E-03 0.022211 8 4 20.0 45.0 135.0 3.18788E-02 3.45907E-03 7.09418E-04 4.16849E-03 4.63742E-03 0.022254 8 7 20.0 90.0 90.0 3.66414E-02 3.50206E-03 8.29313E-04 4.33138E-03 4.69506E-03 0.022633 7 1 30.0 0.0 180.0 3.24252E-02 3.57681E-03 7.65509E-04 4.34232E-03 4.79527E-03 0.023608 7 4 30.0 45.0 135.0 3.29112E-02 3.57828E-03 7.74420E-04 4.35270E-03 4.79723E-03 0.023531 7 7 30.0 90.0 90.0 3.82037E-02 3.62266E-03 9.05139E-04 4.52780E-03 4.85674E-03 0.023692 6 1 40.0 0.0 180.0 3.67411E-02 3.68991E-03 1.04529E-03 4.73520E-03 4.94689E-03 0.028450 6 4 40.0 45.0 135.0 3.61484E-02 3.68263E-03 1.01598E-03 4.69861E-03 4.93713E-03 0.028106 6 7 40.0 90.0 90.0 4.10493E-02 3.76010E-03 1.14740E-03 4.90750E-03 5.04100E-03 0.027952 5 1 50.0 0.0 180.0 4.50310E-02 3.82489E-03 1.94780E-03 5.77269E-03 5.12785E-03 0.043255 5 4 50.0 45.0 135.0 4.25742E-02 3.79262E-03 1.81518E-03 5.60780E-03 5.08459E-03 0.042636 5 7 50.0 90.0 90.0 4.60460E-02 3.90572E-03 1.90175E-03 5.80746E-03 5.23621E-03 0.041301 4 1 60.0 0.0 180.0 5.98956E-02 3.85820E-03 4.98403E-03 8.84223E-03 5.17251E-03 0.083212 4 4 60.0 45.0 135.0 5.43715E-02 3.81569E-03 4.44137E-03 8.25706E-03 5.11552E-03 0.081686 4 7 60.0 90.0 90.0 5.48841E-02 4.00479E-03 4.33255E-03 8.33734E-03 5.36904E-03 0.078940 3 1 70.0 0.0 180.0 8.78114E-02 3.66778E-03 1.42307E-02 1.78985E-02 4.91723E-03 0.162060 3 4 70.0 45.0 135.0 7.69263E-02 3.66086E-03 1.24856E-02 1.61464E-02 4.90795E-03 0.162306 3 7 70.0 90.0 90.0 7.20395E-02 3.87033E-03 1.16078E-02 1.54781E-02 5.18878E-03 0.161131 2 1 80.0 0.0 180.0 1.48695E-01 3.20809E-03 3.56923E-02 3.89004E-02 4.30094E-03 0.240038 2 4 80.0 45.0 135.0 1.26910E-01 3.18975E-03 3.16631E-02 3.48528E-02 4.27635E-03 0.249492 2 7 80.0 90.0 90.0 1.10265E-01 3.39107E-03 2.87087E-02 3.20998E-02 4.54625E-03 0.260362 1 1 87.5 0.0 180.0 2.32698E-01 2.63150E-03 6.31135E-02 6.57450E-02 3.52793E-03 0.271225 1 4 87.5 45.0 135.0 1.96119E-01 2.48558E-03 5.76427E-02 6.01283E-02 3.33230E-03 0.293918 1 7 87.5 90.0 90.0 1.62140E-01 2.93760E-03 5.12304E-02 5.41680E-02 3.93830E-03 0.315964 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 485.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 4.213E-03 3.575E-02 1.492E-01 1.082E-01 9.049E-01 5.648E-03 1.732E+01 3.398E-03 4.555E-03 1 0.00 0.00 6.296E-03 6.461E-02 1.433E-02 1.661E-02 4.602E-02 8.939E-03 4.976E+00 3 1.69 5.00 4.346E-03 7.756E-02 1.181E-02 1.580E-02 5.064E-02 8.755E-03 5.638E+00 5 4.72 10.00 2.448E-03 8.068E-02 8.150E-03 1.258E-02 3.699E-02 8.569E-03 6.130E+00 7 9.02 15.00 1.185E-03 5.994E-02 4.618E-03 7.139E-03 1.526E-02 8.546E-03 6.034E+00 9 12.81 20.00 6.287E-04 3.774E-02 2.623E-03 3.741E-03 6.287E-03 8.690E-03 5.682E+00 11 15.55 25.00 3.823E-04 2.470E-02 1.640E-03 2.189E-03 3.223E-03 8.796E-03 5.454E+00 13 17.79 30.00 2.493E-04 1.676E-02 1.081E-03 1.373E-03 1.860E-03 8.900E-03 5.279E+00 15 19.76 35.00 1.700E-04 1.163E-02 7.344E-04 8.975E-04 1.147E-03 9.061E-03 5.084E+00 17 21.35 40.00 1.224E-04 8.441E-03 5.084E-04 6.005E-04 7.333E-04 9.233E-03 4.881E+00 19 22.63 45.00 9.181E-05 6.376E-03 3.736E-04 4.321E-04 5.129E-04 9.369E-03 4.738E+00 21 23.68 50.00 7.103E-05 4.972E-03 2.723E-04 3.077E-04 3.553E-04 9.481E-03 4.598E+00 Waveband 9 of 30 completed in 7.0 sec. * * * * * Output for wavelength band 10 (490.0 to 500.0 nm; nominal wavelength = 495.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 174.0 m at 495.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 490.0 nm to 500.0 nm: Ed(diffuse) = 3.410E-01 Ed(direct) = 4.198E-01 Ed(total) = 7.608E-01 Absorption Coefficients of Individual Components at 495.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0173 0.0204 0.0000 0.0031 0.0408 3 1.678 5.000 0.0173 0.0252 0.0000 0.0038 0.0464 5 4.694 10.000 0.0173 0.0507 0.0000 0.0077 0.0757 7 8.971 15.000 0.0173 0.0551 0.0000 0.0084 0.0808 9 12.746 20.000 0.0173 0.0392 0.0000 0.0060 0.0624 11 15.470 25.000 0.0173 0.0316 0.0000 0.0048 0.0538 13 17.695 30.000 0.0173 0.0275 0.0000 0.0042 0.0490 15 19.655 35.000 0.0173 0.0252 0.0000 0.0038 0.0464 17 21.233 40.000 0.0173 0.0177 0.0000 0.0027 0.0377 19 22.506 45.000 0.0173 0.0177 0.0000 0.0027 0.0377 21 23.553 50.000 0.0173 0.0114 0.0000 0.0017 0.0304 Scattering Coefficients of Individual Components at 495.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0030 0.1242 0.1283 0.0000 0.2555 3 1.678 5.000 0.0030 0.1493 0.1749 0.0000 0.3272 5 4.694 10.000 0.0030 0.2634 0.4710 0.0000 0.7374 7 8.971 15.000 0.0030 0.2816 0.5318 0.0000 0.8165 9 12.746 20.000 0.0030 0.2150 0.3276 0.0000 0.5457 11 15.470 25.000 0.0030 0.1807 0.2420 0.0000 0.4256 13 17.695 30.000 0.0030 0.1605 0.1976 0.0000 0.3611 15 19.655 35.000 0.0030 0.1493 0.1749 0.0000 0.3272 17 21.233 40.000 0.0030 0.1096 0.1043 0.0000 0.2169 19 22.506 45.000 0.0030 0.1096 0.1043 0.0000 0.2169 21 23.553 50.000 0.0030 0.0737 0.0541 0.0000 0.1308 Backscattering Coefficients of Individual Components at 495.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00151 0.00174 0.00023 0.00000 0.00348 3 1.678 5.000 0.00151 0.00209 0.00031 0.00000 0.00391 5 4.694 10.000 0.00151 0.00369 0.00083 0.00000 0.00603 7 8.971 15.000 0.00151 0.00395 0.00094 0.00000 0.00639 9 12.746 20.000 0.00151 0.00301 0.00058 0.00000 0.00510 11 15.470 25.000 0.00151 0.00253 0.00043 0.00000 0.00447 13 17.695 30.000 0.00151 0.00225 0.00035 0.00000 0.00411 15 19.655 35.000 0.00151 0.00209 0.00031 0.00000 0.00391 17 21.233 40.000 0.00151 0.00154 0.00018 0.00000 0.00323 19 22.506 45.000 0.00151 0.00154 0.00018 0.00000 0.00323 21 23.553 50.000 0.00151 0.00103 0.00010 0.00000 0.00264 Summary of Inherent Optical Properties at 495.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0408 0.2555 0.2963 0.8623 0.00348 0.01360 3 1.678 5.000 0.0464 0.3272 0.3736 0.8759 0.00391 0.01195 5 4.694 10.000 0.0757 0.7374 0.8131 0.9069 0.00603 0.00818 7 8.971 15.000 0.0808 0.8165 0.8973 0.9099 0.00639 0.00783 9 12.746 20.000 0.0624 0.5457 0.6081 0.8973 0.00510 0.00935 11 15.470 25.000 0.0538 0.4256 0.4794 0.8879 0.00447 0.01050 13 17.695 30.000 0.0490 0.3611 0.4100 0.8806 0.00411 0.01137 15 19.655 35.000 0.0464 0.3272 0.3736 0.8759 0.00391 0.01195 17 21.233 40.000 0.0377 0.2169 0.2546 0.8520 0.00323 0.01489 19 22.506 45.000 0.0377 0.2169 0.2546 0.8520 0.00323 0.01489 21 23.553 50.000 0.0304 0.1308 0.1613 0.8113 0.00264 0.02016 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3891E-01 8 20.00 7.9285E-01 7 30.00 6.0568E-01 6 40.00 4.2460E-01 5 50.00 2.7852E-01 4 60.00 1.7510E-01 3 70.00 1.0837E-01 2 80.00 6.8156E-02 1 87.50 4.8807E-02 1 92.50 3.8820E-02 2 100.00 2.9356E-02 3 110.00 2.1671E-02 4 120.00 1.7054E-02 5 130.00 1.4292E-02 6 140.00 1.2630E-02 7 150.00 1.1632E-02 8 160.00 1.1051E-02 9 170.00 1.0747E-02 10 180.00 1.0640E-02 Asymptotic AOP values are MUu(inf) = 0.3850 MUd(inf) = 0.7324 MU(inf) = 0.6576 R(inf) = 0.0378 Lu(inf)/Ed(inf) = 0.008341 (1/sr) k(inf) = 0.0463 (1/m) absorp(check) = 0.0304 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 495.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.9538E-01 1.7574E+00 2.0528E+00 7.4236E-02 7.6077E-01 0.2513 0.4329 0.3344 9.7580E-02 1 0.00 0.00 7.9073E-02 9.8408E-01 1.0632E+00 3.1792E-02 7.1832E-01 0.4021 0.7299 0.6457 4.4259E-02 3 1.68 5.00 6.8929E-02 7.4765E-01 8.1658E-01 2.5513E-02 5.0794E-01 0.3701 0.6794 0.5908 5.0228E-02 5 4.69 10.00 4.6440E-02 4.5564E-01 5.0208E-01 1.6123E-02 2.9712E-01 0.3472 0.6521 0.5597 5.4267E-02 7 8.97 15.00 2.2848E-02 2.2521E-01 2.4806E-01 7.8422E-03 1.4783E-01 0.3432 0.6564 0.5643 5.3050E-02 9 12.75 20.00 1.1278E-02 1.1763E-01 1.2891E-01 3.9271E-03 7.8664E-02 0.3482 0.6687 0.5798 4.9923E-02 11 15.47 25.00 6.4818E-03 7.0511E-02 7.6993E-02 2.2854E-03 4.7819E-02 0.3526 0.6782 0.5914 4.7792E-02 13 17.70 30.00 4.0312E-03 4.5319E-02 4.9351E-02 1.4333E-03 3.1049E-02 0.3556 0.6851 0.6001 4.6164E-02 15 19.65 35.00 2.5964E-03 3.0280E-02 3.2876E-02 9.2883E-04 2.0903E-02 0.3577 0.6903 0.6076 4.4435E-02 17 21.23 40.00 1.7292E-03 2.1243E-02 2.2972E-02 6.2974E-04 1.4793E-02 0.3642 0.6964 0.6165 4.2570E-02 19 22.51 45.00 1.2263E-03 1.5557E-02 1.6783E-02 4.5005E-04 1.0910E-02 0.3670 0.7013 0.6232 4.1253E-02 21 23.55 50.00 8.7801E-04 1.1735E-02 1.2613E-02 3.3086E-04 8.3005E-03 0.3768 0.7073 0.6319 3.9860E-02 K-functions (units of 1/meter) at 495.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.02505 0.04886 0.04709 0.03482 0.06153 0.06277 0.05994 5.000 5.010 5.005 0.03821 0.06689 0.06447 0.05405 0.07692 0.07813 0.07910 10.000 10.010 10.005 0.12462 0.13151 0.13087 0.13114 0.13459 0.13479 0.13729 15.000 15.010 15.005 0.15709 0.14693 0.14787 0.15585 0.14355 0.14286 0.14510 20.000 20.010 20.005 0.12021 0.11137 0.11215 0.11751 0.10792 0.10741 0.10901 25.000 25.010 25.005 0.10023 0.09346 0.09403 0.09827 0.09103 0.09067 0.09205 30.000 30.010 30.005 0.08930 0.08346 0.08394 0.08814 0.08168 0.08136 0.08246 35.000 35.010 35.005 0.08897 0.07797 0.07884 0.08637 0.07659 0.07614 0.07626 40.000 40.010 40.005 0.06772 0.06319 0.06353 0.06615 0.06118 0.06096 0.06138 45.000 45.010 45.005 0.07387 0.06181 0.06269 0.06974 0.06069 0.06030 0.05977 50.000 50.010 50.005 0.05231 0.05028 0.05042 0.05015 0.04809 0.04801 0.04822 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 495.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 3.58261E-02 3.44505E-03 8.17264E-04 4.26232E-03 4.52838E-03 0.022812 9 1 10.0 0.0 180.0 3.16929E-02 3.46940E-03 7.02439E-04 4.17184E-03 4.56039E-03 0.022164 9 4 10.0 45.0 135.0 3.26521E-02 3.46499E-03 7.26505E-04 4.19150E-03 4.55459E-03 0.022250 9 7 10.0 90.0 90.0 3.59588E-02 3.49429E-03 8.16982E-04 4.31127E-03 4.59309E-03 0.022720 8 1 20.0 0.0 180.0 3.09675E-02 3.52188E-03 6.87808E-04 4.20969E-03 4.62937E-03 0.022211 8 4 20.0 45.0 135.0 3.19491E-02 3.49894E-03 7.10983E-04 4.20992E-03 4.59921E-03 0.022254 8 7 20.0 90.0 90.0 3.67222E-02 3.55336E-03 8.31142E-04 4.38450E-03 4.67074E-03 0.022633 7 1 30.0 0.0 180.0 3.24967E-02 3.61021E-03 7.67197E-04 4.37741E-03 4.74547E-03 0.023608 7 4 30.0 45.0 135.0 3.29838E-02 3.61749E-03 7.76128E-04 4.39362E-03 4.75504E-03 0.023531 7 7 30.0 90.0 90.0 3.82879E-02 3.67765E-03 9.07135E-04 4.58479E-03 4.83412E-03 0.023692 6 1 40.0 0.0 180.0 3.68221E-02 3.72076E-03 1.04760E-03 4.76836E-03 4.89078E-03 0.028450 6 4 40.0 45.0 135.0 3.62281E-02 3.72102E-03 1.01822E-03 4.73924E-03 4.89113E-03 0.028106 6 7 40.0 90.0 90.0 4.11398E-02 3.82001E-03 1.14993E-03 4.96994E-03 5.02124E-03 0.027952 5 1 50.0 0.0 180.0 4.51303E-02 3.85386E-03 1.95209E-03 5.80595E-03 5.06573E-03 0.043255 5 4 50.0 45.0 135.0 4.26681E-02 3.83032E-03 1.81919E-03 5.64951E-03 5.03479E-03 0.042636 5 7 50.0 90.0 90.0 4.61476E-02 3.96957E-03 1.90594E-03 5.87551E-03 5.21784E-03 0.041301 4 1 60.0 0.0 180.0 6.00277E-02 3.88434E-03 4.99502E-03 8.87936E-03 5.10580E-03 0.083212 4 4 60.0 45.0 135.0 5.44917E-02 3.85157E-03 4.45117E-03 8.30274E-03 5.06274E-03 0.081685 4 7 60.0 90.0 90.0 5.50030E-02 4.07121E-03 4.34209E-03 8.41330E-03 5.35143E-03 0.078943 3 1 70.0 0.0 180.0 8.80050E-02 3.68892E-03 1.42621E-02 1.79510E-02 4.84893E-03 0.162060 3 4 70.0 45.0 135.0 7.70960E-02 3.69229E-03 1.25131E-02 1.62054E-02 4.85336E-03 0.162306 3 7 70.0 90.0 90.0 7.21984E-02 3.93364E-03 1.16334E-02 1.55670E-02 5.17060E-03 0.161131 2 1 80.0 0.0 180.0 1.49023E-01 3.22328E-03 3.57710E-02 3.89943E-02 4.23687E-03 0.240037 2 4 80.0 45.0 135.0 1.27190E-01 3.21425E-03 3.17329E-02 3.49472E-02 4.22500E-03 0.249493 2 7 80.0 90.0 90.0 1.10508E-01 3.44502E-03 2.87720E-02 3.22170E-02 4.52834E-03 0.260362 1 1 87.5 0.0 180.0 2.33211E-01 2.64082E-03 6.32527E-02 6.58935E-02 3.47125E-03 0.271225 1 4 87.5 45.0 135.0 1.96551E-01 2.50196E-03 5.77698E-02 6.02718E-02 3.28872E-03 0.293918 1 7 87.5 90.0 90.0 1.62498E-01 2.98184E-03 5.13433E-02 5.43252E-02 3.91950E-03 0.315964 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 495.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 4.262E-03 3.583E-02 1.496E-01 1.084E-01 9.195E-01 5.603E-03 1.742E+01 3.445E-03 4.528E-03 1 0.00 0.00 6.383E-03 6.475E-02 1.425E-02 1.669E-02 4.700E-02 8.887E-03 4.980E+00 3 1.68 5.00 4.514E-03 7.824E-02 1.189E-02 1.609E-02 5.220E-02 8.886E-03 5.652E+00 5 4.69 10.00 2.608E-03 8.288E-02 8.575E-03 1.337E-02 3.962E-02 8.778E-03 6.182E+00 7 8.97 15.00 1.279E-03 6.313E-02 5.020E-03 7.829E-03 1.686E-02 8.655E-03 6.130E+00 9 12.75 20.00 6.777E-04 4.056E-02 2.894E-03 4.162E-03 7.053E-03 8.615E-03 5.795E+00 11 15.47 25.00 4.100E-04 2.690E-02 1.817E-03 2.445E-03 3.630E-03 8.574E-03 5.574E+00 13 17.70 30.00 2.650E-04 1.841E-02 1.199E-03 1.534E-03 2.094E-03 8.536E-03 5.408E+00 15 19.65 35.00 1.781E-04 1.286E-02 8.131E-04 1.001E-03 1.288E-03 8.522E-03 5.214E+00 17 21.23 40.00 1.262E-04 9.366E-03 5.541E-04 6.590E-04 8.106E-04 8.531E-03 4.990E+00 19 22.51 45.00 9.320E-05 7.077E-03 4.033E-04 4.695E-04 5.612E-04 8.543E-03 4.829E+00 21 23.55 50.00 7.111E-05 5.506E-03 2.855E-04 3.247E-04 3.774E-04 8.566E-03 4.653E+00 Waveband 10 of 30 completed in 7.2 sec. * * * * * Output for wavelength band 11 (500.0 to 510.0 nm; nominal wavelength = 505.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 171.2 m at 505.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 500.0 nm to 510.0 nm: Ed(diffuse) = 3.303E-01 Ed(direct) = 4.186E-01 Ed(total) = 7.488E-01 Absorption Coefficients of Individual Components at 505.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0256 0.0161 0.0000 0.0027 0.0444 3 1.685 5.000 0.0256 0.0203 0.0000 0.0033 0.0492 5 4.701 10.000 0.0256 0.0428 0.0000 0.0067 0.0751 7 8.972 15.000 0.0256 0.0469 0.0000 0.0073 0.0798 9 12.744 20.000 0.0256 0.0325 0.0000 0.0052 0.0633 11 15.468 25.000 0.0256 0.0258 0.0000 0.0042 0.0556 13 17.696 30.000 0.0256 0.0222 0.0000 0.0036 0.0514 15 19.661 35.000 0.0256 0.0203 0.0000 0.0033 0.0492 17 21.247 40.000 0.0256 0.0139 0.0000 0.0023 0.0418 19 22.532 45.000 0.0256 0.0139 0.0000 0.0023 0.0418 21 23.594 50.000 0.0256 0.0087 0.0000 0.0015 0.0358 Scattering Coefficients of Individual Components at 505.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0028 0.1234 0.1275 0.0000 0.2538 3 1.685 5.000 0.0028 0.1487 0.1741 0.0000 0.3255 5 4.701 10.000 0.0028 0.2634 0.4710 0.0000 0.7371 7 8.972 15.000 0.0028 0.2816 0.5318 0.0000 0.8162 9 12.744 20.000 0.0028 0.2147 0.3271 0.0000 0.5446 11 15.468 25.000 0.0028 0.1801 0.2412 0.0000 0.4241 13 17.696 30.000 0.0028 0.1598 0.1968 0.0000 0.3594 15 19.661 35.000 0.0028 0.1487 0.1741 0.0000 0.3255 17 21.247 40.000 0.0028 0.1089 0.1035 0.0000 0.2152 19 22.532 45.000 0.0028 0.1089 0.1035 0.0000 0.2152 21 23.594 50.000 0.0028 0.0730 0.0535 0.0000 0.1293 Backscattering Coefficients of Individual Components at 505.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00138 0.00173 0.00022 0.00000 0.00334 3 1.685 5.000 0.00138 0.00208 0.00031 0.00000 0.00377 5 4.701 10.000 0.00138 0.00369 0.00083 0.00000 0.00591 7 8.972 15.000 0.00138 0.00395 0.00094 0.00000 0.00627 9 12.744 20.000 0.00138 0.00301 0.00058 0.00000 0.00497 11 15.468 25.000 0.00138 0.00253 0.00042 0.00000 0.00433 13 17.696 30.000 0.00138 0.00224 0.00035 0.00000 0.00397 15 19.661 35.000 0.00138 0.00208 0.00031 0.00000 0.00377 17 21.247 40.000 0.00138 0.00153 0.00018 0.00000 0.00309 19 22.532 45.000 0.00138 0.00153 0.00018 0.00000 0.00309 21 23.594 50.000 0.00138 0.00102 0.00009 0.00000 0.00250 Summary of Inherent Optical Properties at 505.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0444 0.2538 0.2982 0.8510 0.00334 0.01316 3 1.685 5.000 0.0492 0.3255 0.3747 0.8686 0.00377 0.01159 5 4.701 10.000 0.0751 0.7371 0.8122 0.9075 0.00591 0.00801 7 8.972 15.000 0.0798 0.8162 0.8960 0.9110 0.00627 0.00768 9 12.744 20.000 0.0633 0.5446 0.6079 0.8959 0.00497 0.00913 11 15.468 25.000 0.0556 0.4241 0.4798 0.8840 0.00433 0.01022 13 17.696 30.000 0.0514 0.3594 0.4108 0.8748 0.00397 0.01105 15 19.661 35.000 0.0492 0.3255 0.3747 0.8686 0.00377 0.01159 17 21.247 40.000 0.0418 0.2152 0.2570 0.8373 0.00309 0.01437 19 22.532 45.000 0.0418 0.2152 0.2570 0.8373 0.00309 0.01437 21 23.594 50.000 0.0358 0.1293 0.1651 0.7833 0.00250 0.01935 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3280E-01 8 20.00 7.7410E-01 7 30.00 5.7557E-01 6 40.00 3.8984E-01 5 50.00 2.4597E-01 4 60.00 1.4855E-01 3 70.00 8.8499E-02 2 80.00 5.3844E-02 1 87.50 3.7780E-02 1 92.50 2.9720E-02 2 100.00 2.2209E-02 3 110.00 1.6234E-02 4 120.00 1.2727E-02 5 130.00 1.0669E-02 6 140.00 9.4506E-03 7 150.00 8.7303E-03 8 160.00 8.3156E-03 9 170.00 8.1006E-03 10 180.00 8.0244E-03 Asymptotic AOP values are MUu(inf) = 0.3832 MUd(inf) = 0.7478 MU(inf) = 0.6849 R(inf) = 0.0302 Lu(inf)/Ed(inf) = 0.006715 (1/sr) k(inf) = 0.0522 (1/m) absorp(check) = 0.0358 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 505.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.8796E-01 1.7262E+00 2.0142E+00 7.2135E-02 7.4884E-01 0.2505 0.4338 0.3360 9.6330E-02 1 0.00 0.00 7.2035E-02 9.6407E-01 1.0361E+00 2.9052E-02 7.0575E-01 0.4033 0.7321 0.6531 4.1165E-02 3 1.69 5.00 6.3989E-02 7.1680E-01 7.8079E-01 2.3796E-02 4.8875E-01 0.3719 0.6819 0.5955 4.8687E-02 5 4.70 10.00 4.4410E-02 4.3614E-01 4.8055E-01 1.5397E-02 2.8469E-01 0.3467 0.6528 0.5604 5.4083E-02 7 8.97 15.00 2.1964E-02 2.1753E-01 2.3949E-01 7.4810E-03 1.4270E-01 0.3406 0.6560 0.5646 5.2425E-02 9 12.74 20.00 1.0564E-02 1.1372E-01 1.2428E-01 3.6339E-03 7.6070E-02 0.3440 0.6690 0.5828 4.7771E-02 11 15.47 25.00 5.8774E-03 6.7455E-02 7.3333E-02 2.0434E-03 4.5848E-02 0.3477 0.6797 0.5973 4.4570E-02 13 17.70 30.00 3.5329E-03 4.2689E-02 4.6222E-02 1.2361E-03 2.9363E-02 0.3499 0.6878 0.6085 4.2096E-02 15 19.66 35.00 2.1841E-03 2.8013E-02 3.0197E-02 7.6548E-04 1.9444E-02 0.3505 0.6941 0.6186 3.9368E-02 17 21.25 40.00 1.3735E-03 1.9188E-02 2.0561E-02 4.9106E-04 1.3467E-02 0.3575 0.7019 0.6311 3.6464E-02 19 22.53 45.00 9.2852E-04 1.3672E-02 1.4600E-02 3.3372E-04 9.6818E-03 0.3594 0.7082 0.6403 3.4469E-02 21 23.59 50.00 6.2221E-04 9.9922E-03 1.0614E-02 2.3180E-04 7.1560E-03 0.3725 0.7162 0.6523 3.2392E-02 K-functions (units of 1/meter) at 505.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.02274 0.05348 0.05134 0.03213 0.06618 0.06764 0.05780 5.000 5.010 5.005 0.03009 0.07058 0.06726 0.04722 0.08057 0.08228 0.07496 10.000 10.010 10.005 0.12168 0.12962 0.12889 0.12918 0.13331 0.13355 0.13743 15.000 15.010 15.005 0.15945 0.14507 0.14639 0.15978 0.14184 0.14085 0.15074 20.000 20.010 20.005 0.12609 0.11287 0.11400 0.12385 0.10900 0.10826 0.11559 25.000 25.010 25.005 0.10667 0.09626 0.09710 0.10504 0.09343 0.09289 0.09912 30.000 30.010 30.005 0.09619 0.08693 0.08764 0.09568 0.08480 0.08432 0.09059 35.000 35.010 35.005 0.09991 0.08176 0.08307 0.09781 0.08009 0.07937 0.08661 40.000 40.010 40.005 0.07621 0.06902 0.06950 0.07473 0.06638 0.06607 0.06972 45.000 45.010 45.005 0.08730 0.06712 0.06840 0.08261 0.06571 0.06511 0.06984 50.000 50.010 50.005 0.06065 0.05763 0.05781 0.05751 0.05474 0.05465 0.05477 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 505.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 3.46975E-02 3.17052E-03 7.91520E-04 3.96204E-03 4.23391E-03 0.022812 9 1 10.0 0.0 180.0 3.06946E-02 3.18891E-03 6.80311E-04 3.86922E-03 4.25847E-03 0.022164 9 4 10.0 45.0 135.0 3.16235E-02 3.18585E-03 7.03620E-04 3.88947E-03 4.25438E-03 0.022250 9 7 10.0 90.0 90.0 3.48261E-02 3.21544E-03 7.91247E-04 4.00669E-03 4.29390E-03 0.022720 8 1 20.0 0.0 180.0 2.99920E-02 3.23416E-03 6.66142E-04 3.90030E-03 4.31889E-03 0.022211 8 4 20.0 45.0 135.0 3.09427E-02 3.21465E-03 6.88586E-04 3.90324E-03 4.29284E-03 0.022254 8 7 20.0 90.0 90.0 3.55654E-02 3.26898E-03 8.04961E-04 4.07394E-03 4.36539E-03 0.022633 7 1 30.0 0.0 180.0 3.14731E-02 3.31207E-03 7.43030E-04 4.05510E-03 4.42294E-03 0.023608 7 4 30.0 45.0 135.0 3.19448E-02 3.32083E-03 7.51679E-04 4.07251E-03 4.43464E-03 0.023531 7 7 30.0 90.0 90.0 3.70818E-02 3.38207E-03 8.78559E-04 4.26063E-03 4.51641E-03 0.023692 6 1 40.0 0.0 180.0 3.56622E-02 3.40863E-03 1.01460E-03 4.42323E-03 4.55188E-03 0.028450 6 4 40.0 45.0 135.0 3.50869E-02 3.41148E-03 9.86145E-04 4.39762E-03 4.55569E-03 0.028106 6 7 40.0 90.0 90.0 3.98439E-02 3.51029E-03 1.11371E-03 4.62400E-03 4.68764E-03 0.027952 5 1 50.0 0.0 180.0 4.37087E-02 3.52524E-03 1.89060E-03 5.41584E-03 4.70760E-03 0.043255 5 4 50.0 45.0 135.0 4.13240E-02 3.50666E-03 1.76188E-03 5.26854E-03 4.68279E-03 0.042636 5 7 50.0 90.0 90.0 4.46939E-02 3.64382E-03 1.84590E-03 5.48971E-03 4.86595E-03 0.041301 4 1 60.0 0.0 180.0 5.81367E-02 3.54738E-03 4.83768E-03 8.38506E-03 4.73717E-03 0.083212 4 4 60.0 45.0 135.0 5.27755E-02 3.52065E-03 4.31096E-03 7.83161E-03 4.70147E-03 0.081685 4 7 60.0 90.0 90.0 5.32685E-02 3.73252E-03 4.20530E-03 7.93783E-03 4.98441E-03 0.078945 3 1 70.0 0.0 180.0 8.52328E-02 3.36188E-03 1.38128E-02 1.71747E-02 4.48946E-03 0.162060 3 4 70.0 45.0 135.0 7.46674E-02 3.36814E-03 1.21189E-02 1.54871E-02 4.49781E-03 0.162306 3 7 70.0 90.0 90.0 6.99241E-02 3.59988E-03 1.12669E-02 1.48668E-02 4.80728E-03 0.161130 2 1 80.0 0.0 180.0 1.44328E-01 2.93157E-03 3.46442E-02 3.75758E-02 3.91481E-03 0.240037 2 4 80.0 45.0 135.0 1.23183E-01 2.92611E-03 3.07333E-02 3.36594E-02 3.90752E-03 0.249493 2 7 80.0 90.0 90.0 1.07027E-01 3.14714E-03 2.78656E-02 3.10128E-02 4.20268E-03 0.260362 1 1 87.5 0.0 180.0 2.25865E-01 2.39654E-03 6.12602E-02 6.36568E-02 3.20034E-03 0.271225 1 4 87.5 45.0 135.0 1.90360E-01 2.27275E-03 5.59501E-02 5.82228E-02 3.03502E-03 0.293918 1 7 87.5 90.0 90.0 1.57379E-01 2.71848E-03 4.97259E-02 5.24444E-02 3.63026E-03 0.315963 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 505.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 3.962E-03 3.470E-02 1.448E-01 1.049E-01 9.019E-01 5.291E-03 1.821E+01 3.171E-03 4.234E-03 1 0.00 0.00 5.875E-03 6.271E-02 1.278E-02 1.506E-02 4.405E-02 8.324E-03 4.945E+00 3 1.69 5.00 4.217E-03 7.478E-02 1.072E-02 1.464E-02 4.852E-02 8.629E-03 5.642E+00 5 4.70 10.00 2.465E-03 7.917E-02 8.072E-03 1.270E-02 3.811E-02 8.657E-03 6.247E+00 7 8.97 15.00 1.194E-03 6.077E-02 4.812E-03 7.571E-03 1.646E-02 8.370E-03 6.264E+00 9 12.74 20.00 6.119E-04 3.917E-02 2.739E-03 3.972E-03 6.790E-03 8.044E-03 5.939E+00 11 15.47 25.00 3.575E-04 2.584E-02 1.676E-03 2.272E-03 3.401E-03 7.797E-03 5.716E+00 13 17.70 30.00 2.224E-04 1.751E-02 1.074E-03 1.384E-03 1.903E-03 7.576E-03 5.557E+00 15 19.66 35.00 1.428E-04 1.207E-02 7.075E-04 8.763E-04 1.135E-03 7.344E-03 5.361E+00 17 21.25 40.00 9.639E-05 8.646E-03 4.566E-04 5.463E-04 6.763E-04 7.157E-03 5.095E+00 19 22.53 45.00 6.800E-05 6.399E-03 3.197E-04 3.741E-04 4.498E-04 7.023E-03 4.908E+00 21 23.59 50.00 4.969E-05 4.863E-03 2.103E-04 2.402E-04 2.807E-04 6.944E-03 4.665E+00 Waveband 11 of 30 completed in 7.1 sec. * * * * * Output for wavelength band 12 (510.0 to 520.0 nm; nominal wavelength = 515.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 164.8 m at 515.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 510.0 nm to 520.0 nm: Ed(diffuse) = 3.145E-01 Ed(direct) = 4.090E-01 Ed(total) = 7.235E-01 Absorption Coefficients of Individual Components at 515.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0396 0.0125 0.0000 0.0023 0.0545 3 1.725 5.000 0.0396 0.0160 0.0000 0.0029 0.0585 5 4.773 10.000 0.0396 0.0357 0.0000 0.0058 0.0812 7 9.073 15.000 0.0396 0.0394 0.0000 0.0063 0.0854 9 12.875 20.000 0.0396 0.0266 0.0000 0.0045 0.0707 11 15.632 25.000 0.0396 0.0208 0.0000 0.0036 0.0640 13 17.896 30.000 0.0396 0.0177 0.0000 0.0032 0.0604 15 19.898 35.000 0.0396 0.0160 0.0000 0.0029 0.0585 17 21.525 40.000 0.0396 0.0107 0.0000 0.0020 0.0523 19 22.854 45.000 0.0396 0.0107 0.0000 0.0020 0.0523 21 23.963 50.000 0.0396 0.0064 0.0000 0.0013 0.0473 Scattering Coefficients of Individual Components at 515.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0025 0.1227 0.1268 0.0000 0.2521 3 1.725 5.000 0.0025 0.1480 0.1733 0.0000 0.3239 5 4.773 10.000 0.0025 0.2634 0.4710 0.0000 0.7369 7 9.073 15.000 0.0025 0.2816 0.5318 0.0000 0.8160 9 12.875 20.000 0.0025 0.2144 0.3266 0.0000 0.5436 11 15.632 25.000 0.0025 0.1796 0.2405 0.0000 0.4227 13 17.896 30.000 0.0025 0.1592 0.1960 0.0000 0.3578 15 19.898 35.000 0.0025 0.1480 0.1733 0.0000 0.3239 17 21.525 40.000 0.0025 0.1081 0.1028 0.0000 0.2135 19 22.854 45.000 0.0025 0.1081 0.1028 0.0000 0.2135 21 23.963 50.000 0.0025 0.0723 0.0530 0.0000 0.1278 Backscattering Coefficients of Individual Components at 515.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00127 0.00172 0.00022 0.00000 0.00322 3 1.725 5.000 0.00127 0.00207 0.00031 0.00000 0.00365 5 4.773 10.000 0.00127 0.00369 0.00083 0.00000 0.00579 7 9.073 15.000 0.00127 0.00395 0.00094 0.00000 0.00616 9 12.875 20.000 0.00127 0.00301 0.00057 0.00000 0.00485 11 15.632 25.000 0.00127 0.00252 0.00042 0.00000 0.00421 13 17.896 30.000 0.00127 0.00223 0.00034 0.00000 0.00385 15 19.898 35.000 0.00127 0.00207 0.00031 0.00000 0.00365 17 21.525 40.000 0.00127 0.00152 0.00018 0.00000 0.00297 19 22.854 45.000 0.00127 0.00152 0.00018 0.00000 0.00297 21 23.963 50.000 0.00127 0.00101 0.00009 0.00000 0.00238 Summary of Inherent Optical Properties at 515.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0545 0.2521 0.3065 0.8223 0.00322 0.01276 3 1.725 5.000 0.0585 0.3239 0.3824 0.8469 0.00365 0.01127 5 4.773 10.000 0.0812 0.7369 0.8181 0.9008 0.00579 0.00786 7 9.073 15.000 0.0854 0.8160 0.9014 0.9053 0.00616 0.00754 9 12.875 20.000 0.0707 0.5436 0.6143 0.8849 0.00485 0.00893 11 15.632 25.000 0.0640 0.4227 0.4867 0.8684 0.00421 0.00997 13 17.896 30.000 0.0604 0.3578 0.4182 0.8555 0.00385 0.01076 15 19.898 35.000 0.0585 0.3239 0.3824 0.8469 0.00365 0.01127 17 21.525 40.000 0.0523 0.2135 0.2658 0.8033 0.00297 0.01390 19 22.854 45.000 0.0523 0.2135 0.2658 0.8033 0.00297 0.01390 21 23.963 50.000 0.0473 0.1278 0.1752 0.7298 0.00238 0.01860 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.2095E-01 8 20.00 7.3878E-01 7 30.00 5.2144E-01 6 40.00 3.3093E-01 5 50.00 1.9435E-01 4 60.00 1.0929E-01 3 70.00 6.1042E-02 2 80.00 3.5241E-02 1 87.50 2.4010E-02 1 92.50 1.8634E-02 2 100.00 1.3745E-02 3 110.00 9.9675E-03 4 120.00 7.8236E-03 5 130.00 6.6008E-03 6 140.00 5.8948E-03 7 150.00 5.4868E-03 8 160.00 5.2567E-03 9 170.00 5.1393E-03 10 180.00 5.0974E-03 Asymptotic AOP values are MUu(inf) = 0.3836 MUd(inf) = 0.7735 MU(inf) = 0.7263 R(inf) = 0.0211 Lu(inf)/Ed(inf) = 0.004793 (1/sr) k(inf) = 0.0652 (1/m) absorp(check) = 0.0473 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 515.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.7327E-01 1.6647E+00 1.9380E+00 6.7612E-02 7.2352E-01 0.2474 0.4346 0.3384 9.3449E-02 1 0.00 0.00 5.6822E-02 9.2102E-01 9.7784E-01 2.2890E-02 6.7879E-01 0.4028 0.7370 0.6708 3.3722E-02 3 1.72 5.00 5.0227E-02 6.4046E-01 6.9069E-01 1.8692E-02 4.4067E-01 0.3722 0.6880 0.6109 4.2418E-02 5 4.77 10.00 3.5021E-02 3.7111E-01 4.0613E-01 1.2047E-02 2.4426E-01 0.3440 0.6582 0.5718 4.9321E-02 7 9.07 15.00 1.6639E-02 1.7841E-01 1.9505E-01 5.5828E-03 1.1795E-01 0.3355 0.6611 0.5761 4.7333E-02 9 12.87 20.00 7.3547E-03 8.9259E-02 9.6614E-02 2.4848E-03 6.0306E-02 0.3379 0.6756 0.5985 4.1204E-02 11 15.63 25.00 3.7622E-03 5.0174E-02 5.3936E-02 1.2858E-03 3.4548E-02 0.3418 0.6886 0.6167 3.7217E-02 13 17.90 30.00 2.0889E-03 2.9984E-02 3.2073E-02 7.1888E-04 2.0948E-02 0.3441 0.6986 0.6307 3.4318E-02 15 19.90 35.00 1.1889E-03 1.8556E-02 1.9745E-02 4.0878E-04 1.3108E-02 0.3438 0.7064 0.6432 3.1185E-02 17 21.52 40.00 6.7403E-04 1.1924E-02 1.2599E-02 2.3788E-04 8.5430E-03 0.3529 0.7164 0.6592 2.7846E-02 19 22.85 45.00 4.1905E-04 7.9535E-03 8.3726E-03 1.4838E-04 5.7621E-03 0.3541 0.7245 0.6705 2.5751E-02 21 23.96 50.00 2.5138E-04 5.4237E-03 5.6751E-03 9.3441E-05 3.9850E-03 0.3717 0.7347 0.6857 2.3448E-02 K-functions (units of 1/meter) at 515.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.02382 0.06576 0.06333 0.03416 0.07924 0.08081 0.06113 5.000 5.010 5.005 0.02427 0.08378 0.07945 0.04336 0.09315 0.09536 0.07559 10.000 10.010 10.005 0.12694 0.13703 0.13616 0.13557 0.14111 0.14140 0.14617 15.000 15.010 15.005 0.17297 0.15213 0.15391 0.17503 0.14893 0.14764 0.16697 20.000 20.010 20.005 0.14269 0.12328 0.12475 0.14041 0.11867 0.11773 0.13121 25.000 25.010 25.005 0.12259 0.10759 0.10863 0.12074 0.10414 0.10350 0.11416 30.000 30.010 30.005 0.11147 0.09864 0.09948 0.11112 0.09603 0.09549 0.10617 35.000 35.010 35.005 0.12004 0.09357 0.09517 0.11796 0.09154 0.09069 0.10498 40.000 40.010 40.005 0.09208 0.08272 0.08323 0.09017 0.07933 0.07902 0.08499 45.000 45.010 45.005 0.10913 0.08004 0.08150 0.10375 0.07833 0.07766 0.08782 50.000 50.010 50.005 0.07624 0.07241 0.07258 0.07174 0.06877 0.06870 0.06783 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 515.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 3.30404E-02 2.53245E-03 7.53717E-04 3.28617E-03 3.50021E-03 0.022812 9 1 10.0 0.0 180.0 2.92286E-02 2.55064E-03 6.47819E-04 3.19846E-03 3.52534E-03 0.022164 9 4 10.0 45.0 135.0 3.01132E-02 2.54661E-03 6.70015E-04 3.21663E-03 3.51977E-03 0.022250 9 7 10.0 90.0 90.0 3.31628E-02 2.56650E-03 7.53457E-04 3.31996E-03 3.54727E-03 0.022720 8 1 20.0 0.0 180.0 2.85596E-02 2.58670E-03 6.34327E-04 3.22103E-03 3.57519E-03 0.022211 8 4 20.0 45.0 135.0 2.94649E-02 2.56838E-03 6.55699E-04 3.22408E-03 3.54986E-03 0.022254 8 7 20.0 90.0 90.0 3.38668E-02 2.60548E-03 7.66515E-04 3.37200E-03 3.60114E-03 0.022633 7 1 30.0 0.0 180.0 2.99699E-02 2.64751E-03 7.07543E-04 3.35505E-03 3.65923E-03 0.023608 7 4 30.0 45.0 135.0 3.04191E-02 2.65060E-03 7.15779E-04 3.36638E-03 3.66350E-03 0.023531 7 7 30.0 90.0 90.0 3.53108E-02 2.69060E-03 8.36599E-04 3.52720E-03 3.71878E-03 0.023692 6 1 40.0 0.0 180.0 3.39590E-02 2.72020E-03 9.66141E-04 3.68634E-03 3.75970E-03 0.028450 6 4 40.0 45.0 135.0 3.34111E-02 2.71709E-03 9.39046E-04 3.65613E-03 3.75539E-03 0.028106 6 7 40.0 90.0 90.0 3.79409E-02 2.78377E-03 1.06052E-03 3.84429E-03 3.84756E-03 0.027952 5 1 50.0 0.0 180.0 4.16212E-02 2.80732E-03 1.80031E-03 4.60763E-03 3.88011E-03 0.043255 5 4 50.0 45.0 135.0 3.93504E-02 2.78595E-03 1.67774E-03 4.46369E-03 3.85057E-03 0.042636 5 7 50.0 90.0 90.0 4.25593E-02 2.88055E-03 1.75774E-03 4.63829E-03 3.98133E-03 0.041301 4 1 60.0 0.0 180.0 5.53601E-02 2.81845E-03 4.60663E-03 7.42508E-03 3.89549E-03 0.083212 4 4 60.0 45.0 135.0 5.02552E-02 2.78972E-03 4.10507E-03 6.89479E-03 3.85578E-03 0.081684 4 7 60.0 90.0 90.0 5.07227E-02 2.94146E-03 4.00445E-03 6.94590E-03 4.06551E-03 0.078948 3 1 70.0 0.0 180.0 8.11621E-02 2.66339E-03 1.31531E-02 1.58165E-02 3.68117E-03 0.162060 3 4 70.0 45.0 135.0 7.11013E-02 2.66054E-03 1.15401E-02 1.42007E-02 3.67724E-03 0.162306 3 7 70.0 90.0 90.0 6.65845E-02 2.82718E-03 1.07287E-02 1.35559E-02 3.90756E-03 0.161130 2 1 80.0 0.0 180.0 1.37435E-01 2.31629E-03 3.29896E-02 3.53059E-02 3.20144E-03 0.240037 2 4 80.0 45.0 135.0 1.17300E-01 2.30471E-03 2.92655E-02 3.15702E-02 3.18544E-03 0.249493 2 7 80.0 90.0 90.0 1.01915E-01 2.46443E-03 2.65347E-02 2.89992E-02 3.40618E-03 0.260361 1 1 87.5 0.0 180.0 2.15077E-01 1.88859E-03 5.83344E-02 6.02230E-02 2.61030E-03 0.271225 1 4 87.5 45.0 135.0 1.81268E-01 1.78529E-03 5.32779E-02 5.50632E-02 2.46751E-03 0.293918 1 7 87.5 90.0 90.0 1.49862E-01 2.12325E-03 4.73509E-02 4.94742E-02 2.93462E-03 0.315963 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 515.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 3.286E-03 3.304E-02 1.377E-01 9.967E-02 8.684E-01 4.542E-03 2.057E+01 2.532E-03 3.500E-03 1 0.00 0.00 4.693E-03 5.969E-02 1.004E-02 1.180E-02 3.743E-02 6.914E-03 4.878E+00 3 1.72 5.00 3.332E-03 6.781E-02 8.251E-03 1.137E-02 3.916E-02 7.561E-03 5.610E+00 5 4.77 10.00 1.905E-03 6.893E-02 6.345E-03 1.009E-02 3.091E-02 7.798E-03 6.325E+00 7 9.07 15.00 8.699E-04 5.113E-02 3.697E-03 5.869E-03 1.292E-02 7.376E-03 6.418E+00 9 12.87 20.00 4.099E-04 3.175E-02 1.964E-03 2.870E-03 4.954E-03 6.797E-03 6.062E+00 11 15.63 25.00 2.216E-04 2.004E-02 1.111E-03 1.515E-03 2.283E-03 6.413E-03 5.803E+00 13 17.90 30.00 1.277E-04 1.294E-02 6.594E-04 8.529E-04 1.179E-03 6.095E-03 5.630E+00 15 19.90 35.00 7.534E-05 8.485E-03 4.032E-04 5.009E-04 6.512E-04 5.748E-03 5.426E+00 17 21.52 40.00 4.663E-05 5.759E-03 2.339E-04 2.803E-04 3.477E-04 5.458E-03 5.101E+00 19 22.85 45.00 3.030E-05 4.028E-03 1.514E-04 1.773E-04 2.133E-04 5.259E-03 4.897E+00 21 23.96 50.00 2.043E-05 2.887E-03 8.800E-05 1.005E-04 1.173E-04 5.127E-03 4.574E+00 Waveband 12 of 30 completed in 7.3 sec. * * * * * Output for wavelength band 13 (520.0 to 530.0 nm; nominal wavelength = 525.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 164.8 m at 525.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 520.0 nm to 530.0 nm: Ed(diffuse) = 3.175E-01 Ed(direct) = 4.232E-01 Ed(total) = 7.406E-01 Absorption Coefficients of Individual Components at 525.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0417 0.0101 0.0000 0.0020 0.0539 3 1.712 5.000 0.0417 0.0132 0.0000 0.0025 0.0574 5 4.743 10.000 0.0417 0.0308 0.0000 0.0051 0.0776 7 9.023 15.000 0.0417 0.0342 0.0000 0.0055 0.0814 9 12.806 20.000 0.0417 0.0225 0.0000 0.0039 0.0681 11 15.546 25.000 0.0417 0.0174 0.0000 0.0032 0.0622 13 17.795 30.000 0.0417 0.0146 0.0000 0.0027 0.0590 15 19.782 35.000 0.0417 0.0132 0.0000 0.0025 0.0574 17 21.398 40.000 0.0417 0.0085 0.0000 0.0018 0.0520 19 22.717 45.000 0.0417 0.0085 0.0000 0.0018 0.0520 21 23.819 50.000 0.0417 0.0050 0.0000 0.0011 0.0478 Scattering Coefficients of Individual Components at 525.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0023 0.1220 0.1261 0.0000 0.2504 3 1.712 5.000 0.0023 0.1474 0.1726 0.0000 0.3223 5 4.743 10.000 0.0023 0.2634 0.4710 0.0000 0.7367 7 9.023 15.000 0.0023 0.2816 0.5318 0.0000 0.8158 9 12.806 20.000 0.0023 0.2141 0.3262 0.0000 0.5426 11 15.546 25.000 0.0023 0.1791 0.2398 0.0000 0.4213 13 17.795 30.000 0.0023 0.1586 0.1953 0.0000 0.3562 15 19.782 35.000 0.0023 0.1474 0.1726 0.0000 0.3223 17 21.398 40.000 0.0023 0.1074 0.1022 0.0000 0.2119 19 22.717 45.000 0.0023 0.1074 0.1022 0.0000 0.2119 21 23.819 50.000 0.0023 0.0716 0.0525 0.0000 0.1264 Backscattering Coefficients of Individual Components at 525.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00117 0.00171 0.00022 0.00000 0.00310 3 1.712 5.000 0.00117 0.00207 0.00030 0.00000 0.00354 5 4.743 10.000 0.00117 0.00369 0.00083 0.00000 0.00569 7 9.023 15.000 0.00117 0.00395 0.00094 0.00000 0.00605 9 12.806 20.000 0.00117 0.00300 0.00057 0.00000 0.00475 11 15.546 25.000 0.00117 0.00251 0.00042 0.00000 0.00410 13 17.795 30.000 0.00117 0.00222 0.00034 0.00000 0.00374 15 19.782 35.000 0.00117 0.00207 0.00030 0.00000 0.00354 17 21.398 40.000 0.00117 0.00151 0.00018 0.00000 0.00286 19 22.717 45.000 0.00117 0.00151 0.00018 0.00000 0.00286 21 23.819 50.000 0.00117 0.00100 0.00009 0.00000 0.00227 Summary of Inherent Optical Properties at 525.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0539 0.2504 0.3043 0.8229 0.00310 0.01239 3 1.712 5.000 0.0574 0.3223 0.3796 0.8489 0.00354 0.01098 5 4.743 10.000 0.0776 0.7367 0.8143 0.9047 0.00569 0.00773 7 9.023 15.000 0.0814 0.8158 0.8972 0.9093 0.00605 0.00742 9 12.806 20.000 0.0681 0.5426 0.6107 0.8884 0.00475 0.00875 11 15.546 25.000 0.0622 0.4213 0.4835 0.8713 0.00410 0.00974 13 17.795 30.000 0.0590 0.3562 0.4153 0.8578 0.00374 0.01049 15 19.782 35.000 0.0574 0.3223 0.3796 0.8489 0.00354 0.01098 17 21.398 40.000 0.0520 0.2119 0.2639 0.8030 0.00286 0.01348 19 22.717 45.000 0.0520 0.2119 0.2639 0.8030 0.00286 0.01348 21 23.819 50.000 0.0478 0.1264 0.1743 0.7256 0.00227 0.01792 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.2004E-01 8 20.00 7.3610E-01 7 30.00 5.1740E-01 6 40.00 3.2662E-01 5 50.00 1.9064E-01 4 60.00 1.0649E-01 3 70.00 5.9067E-02 2 80.00 3.3866E-02 1 87.50 2.2955E-02 1 92.50 1.7755E-02 2 100.00 1.3037E-02 3 110.00 9.4048E-03 4 120.00 7.3509E-03 5 130.00 6.1831E-03 6 140.00 5.5104E-03 7 150.00 5.1224E-03 8 160.00 4.9038E-03 9 170.00 4.7923E-03 10 180.00 4.7526E-03 Asymptotic AOP values are MUu(inf) = 0.3817 MUd(inf) = 0.7757 MU(inf) = 0.7305 R(inf) = 0.0200 Lu(inf)/Ed(inf) = 0.004509 (1/sr) k(inf) = 0.0655 (1/m) absorp(check) = 0.0478 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 525.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.7904E-01 1.7012E+00 1.9802E+00 6.9229E-02 7.4064E-01 0.2481 0.4354 0.3391 9.3472E-02 1 0.00 0.00 5.8597E-02 9.4340E-01 1.0020E+00 2.3677E-02 6.9509E-01 0.4041 0.7368 0.6701 3.4063E-02 3 1.71 5.00 5.3037E-02 6.6078E-01 7.1381E-01 1.9830E-02 4.5447E-01 0.3739 0.6878 0.6089 4.3633E-02 5 4.74 10.00 3.8211E-02 3.9108E-01 4.2929E-01 1.3171E-02 2.5668E-01 0.3447 0.6563 0.5672 5.1312E-02 7 9.02 15.00 1.8632E-02 1.9335E-01 2.1198E-01 6.2422E-03 1.2726E-01 0.3350 0.6582 0.5709 4.9049E-02 9 12.81 20.00 8.3297E-03 9.8877E-02 1.0721E-01 2.8012E-03 6.6515E-02 0.3363 0.6727 0.5943 4.2113E-02 11 15.55 25.00 4.2807E-03 5.6350E-02 6.0630E-02 1.4540E-03 3.8658E-02 0.3397 0.6860 0.6136 3.7612E-02 13 17.79 30.00 2.3817E-03 3.4007E-02 3.6389E-02 8.1355E-04 2.3687E-02 0.3416 0.6965 0.6286 3.4346E-02 15 19.78 35.00 1.3533E-03 2.1211E-02 2.2564E-02 4.6078E-04 1.4947E-02 0.3405 0.7047 0.6420 3.0828E-02 17 21.40 40.00 7.5979E-04 1.3686E-02 1.4446E-02 2.6561E-04 9.7898E-03 0.3496 0.7153 0.6593 2.7131E-02 19 22.72 45.00 4.6920E-04 9.1429E-03 9.6121E-03 1.6433E-04 6.6179E-03 0.3502 0.7238 0.6714 2.4830E-02 21 23.82 50.00 2.7710E-04 6.2294E-03 6.5065E-03 1.0219E-04 4.5769E-03 0.3688 0.7347 0.6877 2.2327E-02 K-functions (units of 1/meter) at 525.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.02068 0.06512 0.06252 0.03014 0.07828 0.07998 0.05691 5.000 5.010 5.005 0.01763 0.08173 0.07697 0.03714 0.09131 0.09378 0.07018 10.000 10.010 10.005 0.12088 0.13131 0.13038 0.13010 0.13592 0.13624 0.14190 15.000 15.010 15.005 0.16905 0.14659 0.14857 0.17199 0.14355 0.14208 0.16517 20.000 20.010 20.005 0.14125 0.12005 0.12170 0.13936 0.11531 0.11426 0.13050 25.000 25.010 25.005 0.12189 0.10536 0.10653 0.12028 0.10177 0.10105 0.11392 30.000 30.010 30.005 0.11122 0.09695 0.09789 0.11120 0.09421 0.09361 0.10653 35.000 35.010 35.005 0.12158 0.09216 0.09393 0.11986 0.09001 0.08906 0.10656 40.000 40.010 40.005 0.09299 0.08253 0.08308 0.09114 0.07891 0.07857 0.08591 45.000 45.010 45.005 0.11213 0.07968 0.08126 0.10672 0.07786 0.07713 0.08984 50.000 50.010 50.005 0.07751 0.07316 0.07334 0.07263 0.06930 0.06922 0.06840 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 525.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 3.33565E-02 2.61938E-03 7.60929E-04 3.38031E-03 3.53663E-03 0.022812 9 1 10.0 0.0 180.0 2.95083E-02 2.63189E-03 6.54018E-04 3.28591E-03 3.55353E-03 0.022164 9 4 10.0 45.0 135.0 3.04013E-02 2.62970E-03 6.76426E-04 3.30612E-03 3.55056E-03 0.022250 9 7 10.0 90.0 90.0 3.34801E-02 2.65520E-03 7.60666E-04 3.41587E-03 3.58500E-03 0.022720 8 1 20.0 0.0 180.0 2.88329E-02 2.66594E-03 6.40397E-04 3.30634E-03 3.59950E-03 0.022211 8 4 20.0 45.0 135.0 2.97468E-02 2.65028E-03 6.61974E-04 3.31225E-03 3.57835E-03 0.022254 8 7 20.0 90.0 90.0 3.41909E-02 2.69675E-03 7.73850E-04 3.47060E-03 3.64109E-03 0.022633 7 1 30.0 0.0 180.0 3.02567E-02 2.72603E-03 7.14313E-04 3.44034E-03 3.68063E-03 0.023608 7 4 30.0 45.0 135.0 3.07101E-02 2.73367E-03 7.22628E-04 3.45629E-03 3.69094E-03 0.023531 7 7 30.0 90.0 90.0 3.56487E-02 2.78634E-03 8.44604E-04 3.63094E-03 3.76206E-03 0.023692 6 1 40.0 0.0 180.0 3.42839E-02 2.79827E-03 9.75386E-04 3.77365E-03 3.77817E-03 0.028450 6 4 40.0 45.0 135.0 3.37308E-02 2.80092E-03 9.48032E-04 3.74895E-03 3.78174E-03 0.028106 6 7 40.0 90.0 90.0 3.83040E-02 2.88502E-03 1.07066E-03 3.95568E-03 3.89529E-03 0.027952 5 1 50.0 0.0 180.0 4.20194E-02 2.88580E-03 1.81753E-03 4.70333E-03 3.89635E-03 0.043255 5 4 50.0 45.0 135.0 3.97269E-02 2.87071E-03 1.69379E-03 4.56450E-03 3.87598E-03 0.042636 5 7 50.0 90.0 90.0 4.29665E-02 2.98657E-03 1.77455E-03 4.76112E-03 4.03241E-03 0.041301 4 1 60.0 0.0 180.0 5.58898E-02 2.89511E-03 4.65070E-03 7.54582E-03 3.90893E-03 0.083212 4 4 60.0 45.0 135.0 5.07364E-02 2.87326E-03 4.14435E-03 7.01761E-03 3.87942E-03 0.081684 4 7 60.0 90.0 90.0 5.12064E-02 3.05043E-03 4.04276E-03 7.09319E-03 4.11863E-03 0.078950 3 1 70.0 0.0 180.0 8.19387E-02 2.73330E-03 1.32790E-02 1.60123E-02 3.69045E-03 0.162060 3 4 70.0 45.0 135.0 7.17816E-02 2.73821E-03 1.16506E-02 1.43888E-02 3.69708E-03 0.162306 3 7 70.0 90.0 90.0 6.72216E-02 2.93124E-03 1.08314E-02 1.37626E-02 3.95770E-03 0.161130 2 1 80.0 0.0 180.0 1.38750E-01 2.37484E-03 3.33053E-02 3.56801E-02 3.20647E-03 0.240037 2 4 80.0 45.0 135.0 1.18423E-01 2.37005E-03 2.95456E-02 3.19156E-02 3.19999E-03 0.249493 2 7 80.0 90.0 90.0 1.02890E-01 2.55397E-03 2.67886E-02 2.93426E-02 3.44832E-03 0.260361 1 1 87.5 0.0 180.0 2.17136E-01 1.93419E-03 5.88926E-02 6.08268E-02 2.61150E-03 0.271225 1 4 87.5 45.0 135.0 1.83003E-01 1.83403E-03 5.37877E-02 5.56217E-02 2.47627E-03 0.293918 1 7 87.5 90.0 90.0 1.51296E-01 2.19850E-03 4.78040E-02 5.00025E-02 2.96837E-03 0.315963 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 525.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 3.380E-03 3.336E-02 1.390E-01 1.006E-01 8.864E-01 4.564E-03 2.048E+01 2.619E-03 3.537E-03 1 0.00 0.00 4.854E-03 6.027E-02 1.019E-02 1.208E-02 3.864E-02 6.983E-03 4.878E+00 3 1.71 5.00 3.530E-03 6.905E-02 8.492E-03 1.180E-02 4.091E-02 7.767E-03 5.617E+00 5 4.74 10.00 2.069E-03 7.158E-02 6.802E-03 1.089E-02 3.352E-02 8.061E-03 6.365E+00 7 9.02 15.00 9.604E-04 5.450E-02 4.094E-03 6.542E-03 1.447E-02 7.546E-03 6.500E+00 9 12.81 20.00 4.548E-04 3.458E-02 2.214E-03 3.258E-03 5.658E-03 6.837E-03 6.160E+00 11 15.55 25.00 2.463E-04 2.216E-02 1.263E-03 1.733E-03 2.630E-03 6.371E-03 5.904E+00 13 17.79 30.00 1.419E-04 1.448E-02 7.537E-04 9.810E-04 1.364E-03 5.990E-03 5.734E+00 15 19.78 35.00 8.334E-05 9.584E-03 4.626E-04 5.780E-04 7.560E-04 5.575E-03 5.529E+00 17 21.40 40.00 5.121E-05 6.547E-03 2.665E-04 3.212E-04 4.007E-04 5.231E-03 5.187E+00 19 22.72 45.00 3.305E-05 4.597E-03 1.720E-04 2.025E-04 2.450E-04 4.993E-03 4.973E+00 21 23.82 50.00 2.211E-05 3.300E-03 9.838E-05 1.129E-04 1.325E-04 4.832E-03 4.621E+00 Waveband 13 of 30 completed in 7.2 sec. * * * * * Output for wavelength band 14 (530.0 to 540.0 nm; nominal wavelength = 535.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 164.1 m at 535.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 530.0 nm to 540.0 nm: Ed(diffuse) = 3.172E-01 Ed(direct) = 4.322E-01 Ed(total) = 7.494E-01 Absorption Coefficients of Individual Components at 535.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0452 0.0084 0.0000 0.0018 0.0554 3 1.711 5.000 0.0452 0.0111 0.0000 0.0022 0.0585 5 4.737 10.000 0.0452 0.0269 0.0000 0.0044 0.0765 7 9.009 15.000 0.0452 0.0299 0.0000 0.0048 0.0799 9 12.786 20.000 0.0452 0.0194 0.0000 0.0034 0.0680 11 15.520 25.000 0.0452 0.0147 0.0000 0.0028 0.0627 13 17.765 30.000 0.0452 0.0123 0.0000 0.0024 0.0599 15 19.750 35.000 0.0452 0.0111 0.0000 0.0022 0.0585 17 21.364 40.000 0.0452 0.0070 0.0000 0.0015 0.0538 19 22.685 45.000 0.0452 0.0070 0.0000 0.0015 0.0538 21 23.790 50.000 0.0452 0.0040 0.0000 0.0010 0.0502 Scattering Coefficients of Individual Components at 535.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0022 0.1213 0.1253 0.0000 0.2488 3 1.711 5.000 0.0022 0.1467 0.1718 0.0000 0.3207 5 4.737 10.000 0.0022 0.2634 0.4710 0.0000 0.7365 7 9.009 15.000 0.0022 0.2816 0.5318 0.0000 0.8156 9 12.786 20.000 0.0022 0.2138 0.3257 0.0000 0.5416 11 15.520 25.000 0.0022 0.1786 0.2391 0.0000 0.4199 13 17.765 30.000 0.0022 0.1580 0.1945 0.0000 0.3547 15 19.750 35.000 0.0022 0.1467 0.1718 0.0000 0.3207 17 21.364 40.000 0.0022 0.1067 0.1015 0.0000 0.2103 19 22.685 45.000 0.0022 0.1067 0.1015 0.0000 0.2103 21 23.790 50.000 0.0022 0.0709 0.0520 0.0000 0.1251 Backscattering Coefficients of Individual Components at 535.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00108 0.00170 0.00022 0.00000 0.00300 3 1.711 5.000 0.00108 0.00206 0.00030 0.00000 0.00344 5 4.737 10.000 0.00108 0.00369 0.00083 0.00000 0.00560 7 9.009 15.000 0.00108 0.00395 0.00094 0.00000 0.00596 9 12.786 20.000 0.00108 0.00300 0.00057 0.00000 0.00465 11 15.520 25.000 0.00108 0.00250 0.00042 0.00000 0.00400 13 17.765 30.000 0.00108 0.00222 0.00034 0.00000 0.00364 15 19.750 35.000 0.00108 0.00206 0.00030 0.00000 0.00344 17 21.364 40.000 0.00108 0.00150 0.00018 0.00000 0.00275 19 22.685 45.000 0.00108 0.00150 0.00018 0.00000 0.00275 21 23.790 50.000 0.00108 0.00099 0.00009 0.00000 0.00216 Summary of Inherent Optical Properties at 535.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0554 0.2488 0.3042 0.8179 0.00300 0.01206 3 1.711 5.000 0.0585 0.3207 0.3792 0.8458 0.00344 0.01072 5 4.737 10.000 0.0765 0.7365 0.8130 0.9059 0.00560 0.00760 7 9.009 15.000 0.0799 0.8156 0.8955 0.9108 0.00596 0.00731 9 12.786 20.000 0.0680 0.5416 0.6096 0.8885 0.00465 0.00858 11 15.520 25.000 0.0627 0.4199 0.4826 0.8701 0.00400 0.00953 13 17.765 30.000 0.0599 0.3547 0.4146 0.8555 0.00364 0.01025 15 19.750 35.000 0.0585 0.3207 0.3792 0.8458 0.00344 0.01072 17 21.364 40.000 0.0538 0.2103 0.2641 0.7964 0.00275 0.01309 19 22.685 45.000 0.0538 0.2103 0.2641 0.7964 0.00275 0.01309 21 23.790 50.000 0.0502 0.1251 0.1753 0.7136 0.00216 0.01730 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.1736E-01 8 20.00 7.2830E-01 7 30.00 5.0589E-01 6 40.00 3.1467E-01 5 50.00 1.8071E-01 4 60.00 9.9312E-02 3 70.00 5.4261E-02 2 80.00 3.0713E-02 1 87.50 2.0654E-02 1 92.50 1.5906E-02 2 100.00 1.1622E-02 3 110.00 8.3441E-03 4 120.00 6.5038E-03 5 130.00 5.4637E-03 6 140.00 4.8677E-03 7 150.00 4.5254E-03 8 160.00 4.3333E-03 9 170.00 4.2356E-03 10 180.00 4.2008E-03 Asymptotic AOP values are MUu(inf) = 0.3804 MUd(inf) = 0.7811 MU(inf) = 0.7394 R(inf) = 0.0182 Lu(inf)/Ed(inf) = 0.004087 (1/sr) k(inf) = 0.0679 (1/m) absorp(check) = 0.0502 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 535.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.8090E-01 1.7186E+00 1.9995E+00 6.9663E-02 7.4943E-01 0.2480 0.4361 0.3400 9.2955E-02 1 0.00 0.00 5.7241E-02 9.5309E-01 1.0103E+00 2.3160E-02 7.0292E-01 0.4046 0.7375 0.6728 3.2947E-02 3 1.71 5.00 5.2564E-02 6.6209E-01 7.1465E-01 1.9714E-02 4.5603E-01 0.3750 0.6888 0.6105 4.3229E-02 5 4.74 10.00 3.8745E-02 3.9345E-01 4.3220E-01 1.3352E-02 2.5817E-01 0.3446 0.6562 0.5665 5.1717E-02 7 9.01 15.00 1.9073E-02 1.9672E-01 2.1579E-01 6.3646E-03 1.2929E-01 0.3337 0.6573 0.5697 4.9226E-02 9 12.79 20.00 8.4473E-03 1.0116E-01 1.0961E-01 2.8227E-03 6.7991E-02 0.3342 0.6721 0.5945 4.1516E-02 11 15.52 25.00 4.2850E-03 5.7553E-02 6.1838E-02 1.4455E-03 3.9488E-02 0.3373 0.6861 0.6152 3.6606E-02 13 17.76 30.00 2.3530E-03 3.4569E-02 3.6922E-02 7.9795E-04 2.4102E-02 0.3391 0.6972 0.6312 3.3107E-02 15 19.75 35.00 1.3167E-03 2.1429E-02 2.2746E-02 4.4442E-04 1.5126E-02 0.3375 0.7059 0.6455 2.9381E-02 17 21.36 40.00 7.2200E-04 1.3701E-02 1.4423E-02 2.5059E-04 9.8267E-03 0.3471 0.7172 0.6639 2.5501E-02 19 22.68 45.00 4.3819E-04 9.0535E-03 9.4917E-03 1.5222E-04 6.5755E-03 0.3474 0.7263 0.6767 2.3150E-02 21 23.79 50.00 2.5184E-04 6.0908E-03 6.3426E-03 9.2485E-05 4.4941E-03 0.3672 0.7379 0.6940 2.0579E-02 K-functions (units of 1/meter) at 535.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.01873 0.06704 0.06430 0.02787 0.08014 0.08192 0.05467 5.000 5.010 5.005 0.01214 0.08298 0.07777 0.03224 0.09255 0.09527 0.06659 10.000 10.010 10.005 0.11786 0.12902 0.12802 0.12768 0.13406 0.13441 0.14072 15.000 15.010 15.005 0.16917 0.14431 0.14651 0.17302 0.14138 0.13975 0.16711 20.000 20.010 20.005 0.14354 0.12003 0.12184 0.14183 0.11506 0.11390 0.13290 25.000 25.010 25.005 0.12440 0.10614 0.10740 0.12285 0.10234 0.10156 0.11638 30.000 30.010 30.005 0.11377 0.09811 0.09911 0.11391 0.09521 0.09457 0.10933 35.000 35.010 35.005 0.12596 0.09349 0.09537 0.12440 0.09121 0.09021 0.11056 40.000 40.010 40.005 0.09615 0.08486 0.08543 0.09417 0.08100 0.08066 0.08885 45.000 45.010 45.005 0.11736 0.08177 0.08342 0.11185 0.07986 0.07910 0.09395 50.000 50.010 50.005 0.08077 0.07613 0.07631 0.07539 0.07205 0.07198 0.07073 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 535.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 3.33275E-02 2.56685E-03 7.60266E-04 3.32712E-03 3.42509E-03 0.022812 9 1 10.0 0.0 180.0 2.94826E-02 2.57540E-03 6.53449E-04 3.22885E-03 3.43648E-03 0.022164 9 4 10.0 45.0 135.0 3.03749E-02 2.57431E-03 6.75837E-04 3.25015E-03 3.43504E-03 0.022250 9 7 10.0 90.0 90.0 3.34510E-02 2.60204E-03 7.60004E-04 3.36204E-03 3.47203E-03 0.022720 8 1 20.0 0.0 180.0 2.88078E-02 2.60650E-03 6.39839E-04 3.24634E-03 3.47799E-03 0.022211 8 4 20.0 45.0 135.0 2.97209E-02 2.59291E-03 6.61397E-04 3.25430E-03 3.45985E-03 0.022254 8 7 20.0 90.0 90.0 3.41611E-02 2.64289E-03 7.73176E-04 3.41607E-03 3.52655E-03 0.022633 7 1 30.0 0.0 180.0 3.02303E-02 2.66319E-03 7.13691E-04 3.37688E-03 3.55363E-03 0.023608 7 4 30.0 45.0 135.0 3.06834E-02 2.67300E-03 7.21999E-04 3.39500E-03 3.56672E-03 0.023531 7 7 30.0 90.0 90.0 3.56176E-02 2.73081E-03 8.43869E-04 3.57468E-03 3.64386E-03 0.023692 6 1 40.0 0.0 180.0 3.42541E-02 2.73114E-03 9.74537E-04 3.70568E-03 3.64430E-03 0.028450 6 4 40.0 45.0 135.0 3.37015E-02 2.73677E-03 9.47206E-04 3.68397E-03 3.65181E-03 0.028106 6 7 40.0 90.0 90.0 3.82706E-02 2.82742E-03 1.06973E-03 3.89715E-03 3.77277E-03 0.027952 5 1 50.0 0.0 180.0 4.19828E-02 2.81407E-03 1.81595E-03 4.63002E-03 3.75495E-03 0.043255 5 4 50.0 45.0 135.0 3.96923E-02 2.80288E-03 1.69232E-03 4.49520E-03 3.74003E-03 0.042636 5 7 50.0 90.0 90.0 4.29291E-02 2.92617E-03 1.77301E-03 4.69917E-03 3.90454E-03 0.041301 4 1 60.0 0.0 180.0 5.58412E-02 2.82053E-03 4.64665E-03 7.46719E-03 3.76358E-03 0.083212 4 4 60.0 45.0 135.0 5.06924E-02 2.80314E-03 4.14075E-03 6.94389E-03 3.74038E-03 0.081684 4 7 60.0 90.0 90.0 5.11603E-02 2.98760E-03 4.03923E-03 7.02682E-03 3.98651E-03 0.078952 3 1 70.0 0.0 180.0 8.18674E-02 2.65982E-03 1.32674E-02 1.59272E-02 3.54913E-03 0.162060 3 4 70.0 45.0 135.0 7.17191E-02 2.66856E-03 1.16404E-02 1.43090E-02 3.56080E-03 0.162306 3 7 70.0 90.0 90.0 6.71631E-02 2.86873E-03 1.08219E-02 1.36907E-02 3.82790E-03 0.161129 2 1 80.0 0.0 180.0 1.38630E-01 2.30841E-03 3.32763E-02 3.55847E-02 3.08023E-03 0.240037 2 4 80.0 45.0 135.0 1.18319E-01 2.30730E-03 2.95198E-02 3.18271E-02 3.07874E-03 0.249493 2 7 80.0 90.0 90.0 1.02801E-01 2.49753E-03 2.67653E-02 2.92628E-02 3.33259E-03 0.260361 1 1 87.5 0.0 180.0 2.16946E-01 1.87780E-03 5.88413E-02 6.07191E-02 2.50565E-03 0.271225 1 4 87.5 45.0 135.0 1.82843E-01 1.78342E-03 5.37409E-02 5.55243E-02 2.37970E-03 0.293918 1 7 87.5 90.0 90.0 1.51165E-01 2.14777E-03 4.77623E-02 4.99101E-02 2.86588E-03 0.315962 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 535.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 3.327E-03 3.333E-02 1.388E-01 1.005E-01 8.946E-01 4.440E-03 2.094E+01 2.567E-03 3.425E-03 1 0.00 0.00 4.756E-03 6.021E-02 9.830E-03 1.174E-02 3.839E-02 6.767E-03 4.869E+00 3 1.71 5.00 3.509E-03 6.874E-02 8.238E-03 1.154E-02 4.052E-02 7.695E-03 5.618E+00 5 4.74 10.00 2.083E-03 7.160E-02 6.808E-03 1.098E-02 3.405E-02 8.070E-03 6.409E+00 7 9.01 15.00 9.664E-04 5.510E-02 4.170E-03 6.706E-03 1.493E-02 7.474E-03 6.586E+00 9 12.79 20.00 4.519E-04 3.521E-02 2.250E-03 3.332E-03 5.822E-03 6.646E-03 6.247E+00 11 15.52 25.00 2.416E-04 2.259E-02 1.271E-03 1.754E-03 2.677E-03 6.119E-03 5.982E+00 13 17.76 30.00 1.374E-04 1.474E-02 7.501E-04 9.812E-04 1.371E-03 5.700E-03 5.809E+00 15 19.75 35.00 7.935E-05 9.717E-03 4.553E-04 5.714E-04 7.509E-04 5.246E-03 5.600E+00 17 21.36 40.00 4.787E-05 6.598E-03 2.563E-04 3.101E-04 3.886E-04 4.872E-03 5.235E+00 19 22.68 45.00 3.037E-05 4.596E-03 1.630E-04 1.925E-04 2.338E-04 4.618E-03 5.013E+00 21 23.79 50.00 1.997E-05 3.268E-03 9.045E-05 1.041E-04 1.226E-04 4.444E-03 4.630E+00 Waveband 14 of 30 completed in 7.3 sec. * * * * * Output for wavelength band 15 (540.0 to 550.0 nm; nominal wavelength = 545.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 161.7 m at 545.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 540.0 nm to 550.0 nm: Ed(diffuse) = 3.098E-01 Ed(direct) = 4.309E-01 Ed(total) = 7.407E-01 Absorption Coefficients of Individual Components at 545.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0511 0.0072 0.0000 0.0015 0.0598 3 1.725 5.000 0.0511 0.0095 0.0000 0.0019 0.0625 5 4.761 10.000 0.0511 0.0237 0.0000 0.0038 0.0787 7 9.043 15.000 0.0511 0.0265 0.0000 0.0042 0.0818 9 12.830 20.000 0.0511 0.0169 0.0000 0.0030 0.0710 11 15.575 25.000 0.0511 0.0128 0.0000 0.0024 0.0663 13 17.831 30.000 0.0511 0.0106 0.0000 0.0021 0.0638 15 19.829 35.000 0.0511 0.0095 0.0000 0.0019 0.0625 17 21.458 40.000 0.0511 0.0060 0.0000 0.0013 0.0584 19 22.794 45.000 0.0511 0.0060 0.0000 0.0013 0.0584 21 23.916 50.000 0.0511 0.0034 0.0000 0.0009 0.0553 Scattering Coefficients of Individual Components at 545.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0020 0.1206 0.1247 0.0000 0.2473 3 1.725 5.000 0.0020 0.1461 0.1711 0.0000 0.3192 5 4.761 10.000 0.0020 0.2634 0.4710 0.0000 0.7364 7 9.043 15.000 0.0020 0.2816 0.5318 0.0000 0.8155 9 12.830 20.000 0.0020 0.2135 0.3252 0.0000 0.5407 11 15.575 25.000 0.0020 0.1781 0.2385 0.0000 0.4186 13 17.831 30.000 0.0020 0.1574 0.1938 0.0000 0.3533 15 19.829 35.000 0.0020 0.1461 0.1711 0.0000 0.3192 17 21.458 40.000 0.0020 0.1060 0.1008 0.0000 0.2088 19 22.794 45.000 0.0020 0.1060 0.1008 0.0000 0.2088 21 23.916 50.000 0.0020 0.0703 0.0515 0.0000 0.1238 Backscattering Coefficients of Individual Components at 545.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00100 0.00169 0.00022 0.00000 0.00291 3 1.725 5.000 0.00100 0.00205 0.00030 0.00000 0.00335 5 4.761 10.000 0.00100 0.00369 0.00083 0.00000 0.00552 7 9.043 15.000 0.00100 0.00395 0.00094 0.00000 0.00588 9 12.830 20.000 0.00100 0.00299 0.00057 0.00000 0.00456 11 15.575 25.000 0.00100 0.00250 0.00042 0.00000 0.00391 13 17.831 30.000 0.00100 0.00221 0.00034 0.00000 0.00354 15 19.829 35.000 0.00100 0.00205 0.00030 0.00000 0.00335 17 21.458 40.000 0.00100 0.00149 0.00018 0.00000 0.00266 19 22.794 45.000 0.00100 0.00149 0.00018 0.00000 0.00266 21 23.916 50.000 0.00100 0.00099 0.00009 0.00000 0.00207 Summary of Inherent Optical Properties at 545.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0598 0.2473 0.3071 0.8052 0.00291 0.01175 3 1.725 5.000 0.0625 0.3192 0.3817 0.8362 0.00335 0.01048 5 4.761 10.000 0.0787 0.7364 0.8150 0.9035 0.00552 0.00749 7 9.043 15.000 0.0818 0.8155 0.8972 0.9088 0.00588 0.00721 9 12.830 20.000 0.0710 0.5407 0.6117 0.8839 0.00456 0.00843 11 15.575 25.000 0.0663 0.4186 0.4849 0.8633 0.00391 0.00935 13 17.831 30.000 0.0638 0.3533 0.4171 0.8470 0.00354 0.01003 15 19.829 35.000 0.0625 0.3192 0.3817 0.8362 0.00335 0.01048 17 21.458 40.000 0.0584 0.2088 0.2672 0.7815 0.00266 0.01273 19 22.794 45.000 0.0584 0.2088 0.2672 0.7815 0.00266 0.01273 21 23.916 50.000 0.0553 0.1238 0.1791 0.6912 0.00207 0.01673 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.1223E-01 8 20.00 7.1360E-01 7 30.00 4.8468E-01 6 40.00 2.9328E-01 5 50.00 1.6349E-01 4 60.00 8.7296E-02 3 70.00 4.6506E-02 2 80.00 2.5802E-02 1 87.50 1.7160E-02 1 92.50 1.3150E-02 2 100.00 9.5596E-03 3 110.00 6.8377E-03 4 120.00 5.3264E-03 5 130.00 4.4800E-03 6 140.00 3.9989E-03 7 150.00 3.7248E-03 8 160.00 3.5720E-03 9 170.00 3.4947E-03 10 180.00 3.4671E-03 Asymptotic AOP values are MUu(inf) = 0.3800 MUd(inf) = 0.7905 MU(inf) = 0.7537 R(inf) = 0.0156 Lu(inf)/Ed(inf) = 0.003532 (1/sr) k(inf) = 0.0734 (1/m) absorp(check) = 0.0553 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 545.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.7523E-01 1.6960E+00 1.9713E+00 6.7959E-02 7.4066E-01 0.2469 0.4367 0.3413 9.1755E-02 1 0.00 0.00 5.1583E-02 9.3798E-01 9.8956E-01 2.0834E-02 6.9354E-01 0.4039 0.7394 0.6798 3.0040E-02 3 1.72 5.00 4.7413E-02 6.3291E-01 6.8032E-01 1.7787E-02 4.3756E-01 0.3752 0.6913 0.6170 4.0651E-02 5 4.76 10.00 3.5256E-02 3.6893E-01 4.0419E-01 1.2107E-02 2.4287E-01 0.3434 0.6583 0.5709 4.9849E-02 7 9.04 15.00 1.7134E-02 1.8223E-01 1.9937E-01 5.6775E-03 1.2010E-01 0.3314 0.6591 0.5739 4.7273E-02 9 12.83 20.00 7.3203E-03 9.2176E-02 9.9496E-02 2.4259E-03 6.2185E-02 0.3314 0.6746 0.6006 3.9011E-02 11 15.58 25.00 3.5831E-03 5.1285E-02 5.4868E-02 1.1998E-03 3.5370E-02 0.3348 0.6897 0.6228 3.3921E-02 13 17.83 30.00 1.9042E-03 3.0071E-02 3.1975E-02 6.4169E-04 2.1098E-02 0.3370 0.7016 0.6398 3.0414E-02 15 19.83 35.00 1.0312E-03 1.8186E-02 1.9217E-02 3.4581E-04 1.2928E-02 0.3353 0.7109 0.6547 2.6749E-02 17 21.46 40.00 5.4243E-04 1.1319E-02 1.1861E-02 1.8773E-04 8.1843E-03 0.3461 0.7231 0.6742 2.2938E-02 19 22.79 45.00 3.1923E-04 7.2739E-03 7.5931E-03 1.1060E-04 5.3300E-03 0.3464 0.7328 0.6874 2.0750E-02 21 23.92 50.00 1.7603E-04 4.7540E-03 4.9301E-03 6.4817E-05 3.5418E-03 0.3682 0.7450 0.7053 1.8301E-02 K-functions (units of 1/meter) at 545.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.01886 0.07246 0.06966 0.02822 0.08582 0.08761 0.05531 5.000 5.010 5.005 0.00831 0.08864 0.08304 0.02916 0.09794 0.10085 0.06544 10.000 10.010 10.005 0.11906 0.13149 0.13041 0.12942 0.13678 0.13717 0.14357 15.000 15.010 15.005 0.17451 0.14657 0.14897 0.17921 0.14369 0.14193 0.17374 20.000 20.010 20.005 0.15064 0.12428 0.12622 0.14882 0.11896 0.11775 0.13923 25.000 25.010 25.005 0.13106 0.11088 0.11220 0.12927 0.10681 0.10602 0.12222 30.000 30.010 30.005 0.11993 0.10306 0.10406 0.11993 0.09994 0.09932 0.11513 35.000 35.010 35.005 0.13399 0.09846 0.10037 0.13229 0.09605 0.09506 0.11755 40.000 40.010 40.005 0.10220 0.09063 0.09116 0.09979 0.08652 0.08620 0.09423 45.000 45.010 45.005 0.12545 0.08722 0.08883 0.11958 0.08522 0.08449 0.10052 50.000 50.010 50.005 0.08637 0.08223 0.08238 0.08039 0.07796 0.07792 0.07508 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 545.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 3.25506E-02 2.31661E-03 7.42545E-04 3.05915E-03 3.12775E-03 0.022812 9 1 10.0 0.0 180.0 2.87954E-02 2.32406E-03 6.38217E-04 2.96228E-03 3.13781E-03 0.022164 9 4 10.0 45.0 135.0 2.96668E-02 2.32297E-03 6.60084E-04 2.98305E-03 3.13633E-03 0.022250 9 7 10.0 90.0 90.0 3.26713E-02 2.34780E-03 7.42289E-04 3.09008E-03 3.16986E-03 0.022720 8 1 20.0 0.0 180.0 2.81363E-02 2.35130E-03 6.24925E-04 2.97622E-03 3.17459E-03 0.022211 8 4 20.0 45.0 135.0 2.90282E-02 2.33878E-03 6.45980E-04 2.98476E-03 3.15768E-03 0.022254 8 7 20.0 90.0 90.0 3.33648E-02 2.38353E-03 7.55154E-04 3.13868E-03 3.21810E-03 0.022633 7 1 30.0 0.0 180.0 2.95257E-02 2.40123E-03 6.97055E-04 3.09828E-03 3.24200E-03 0.023608 7 4 30.0 45.0 135.0 2.99682E-02 2.40966E-03 7.05169E-04 3.11483E-03 3.25339E-03 0.023531 7 7 30.0 90.0 90.0 3.47874E-02 2.46129E-03 8.24198E-04 3.28549E-03 3.32309E-03 0.023692 6 1 40.0 0.0 180.0 3.34556E-02 2.46023E-03 9.51821E-04 3.41205E-03 3.32166E-03 0.028450 6 4 40.0 45.0 135.0 3.29159E-02 2.46465E-03 9.25127E-04 3.38978E-03 3.32763E-03 0.028106 6 7 40.0 90.0 90.0 3.73786E-02 2.54564E-03 1.04480E-03 3.59044E-03 3.43698E-03 0.027952 5 1 50.0 0.0 180.0 4.10042E-02 2.53236E-03 1.77362E-03 4.30598E-03 3.41904E-03 0.043255 5 4 50.0 45.0 135.0 3.87671E-02 2.52146E-03 1.65287E-03 4.17433E-03 3.40432E-03 0.042636 5 7 50.0 90.0 90.0 4.19285E-02 2.63167E-03 1.73168E-03 4.36335E-03 3.55313E-03 0.041301 4 1 60.0 0.0 180.0 5.45396E-02 2.53546E-03 4.53834E-03 7.07380E-03 3.42323E-03 0.083212 4 4 60.0 45.0 135.0 4.95110E-02 2.51884E-03 4.04423E-03 6.56307E-03 3.40079E-03 0.081683 4 7 60.0 90.0 90.0 4.99664E-02 2.68397E-03 3.94507E-03 6.62904E-03 3.62374E-03 0.078954 3 1 70.0 0.0 180.0 7.99591E-02 2.38793E-03 1.29582E-02 1.53461E-02 3.22405E-03 0.162060 3 4 70.0 45.0 135.0 7.00474E-02 2.39476E-03 1.13691E-02 1.37639E-02 3.23326E-03 0.162306 3 7 70.0 90.0 90.0 6.55975E-02 2.57401E-03 1.05697E-02 1.31437E-02 3.47528E-03 0.161129 2 1 80.0 0.0 180.0 1.35398E-01 2.07002E-03 3.25006E-02 3.45706E-02 2.79483E-03 0.240037 2 4 80.0 45.0 135.0 1.15561E-01 2.06806E-03 2.88318E-02 3.08998E-02 2.79217E-03 0.249493 2 7 80.0 90.0 90.0 1.00404E-01 2.23860E-03 2.61414E-02 2.83800E-02 3.02242E-03 0.260361 1 1 87.5 0.0 180.0 2.11890E-01 1.68200E-03 5.74698E-02 5.91518E-02 2.27094E-03 0.271225 1 4 87.5 45.0 135.0 1.78581E-01 1.59672E-03 5.24882E-02 5.40849E-02 2.15580E-03 0.293918 1 7 87.5 90.0 90.0 1.47641E-01 1.92332E-03 4.66490E-02 4.85723E-02 2.59675E-03 0.315962 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 545.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 3.059E-03 3.255E-02 1.355E-01 9.811E-02 8.819E-01 4.130E-03 2.222E+01 2.317E-03 3.128E-03 1 0.00 0.00 4.293E-03 5.880E-02 8.805E-03 1.055E-02 3.602E-02 6.190E-03 4.853E+00 3 1.72 5.00 3.169E-03 6.579E-02 7.326E-03 1.034E-02 3.706E-02 7.243E-03 5.612E+00 5 4.76 10.00 1.875E-03 6.756E-02 6.157E-03 1.001E-02 3.139E-02 7.721E-03 6.456E+00 7 9.04 15.00 8.509E-04 5.146E-02 3.756E-03 6.080E-03 1.364E-02 7.085E-03 6.672E+00 9 12.83 20.00 3.843E-04 3.245E-02 1.971E-03 2.934E-03 5.158E-03 6.180E-03 6.313E+00 11 15.58 25.00 1.992E-04 2.046E-02 1.076E-03 1.492E-03 2.287E-03 5.632E-03 6.022E+00 13 17.83 30.00 1.100E-04 1.308E-02 6.148E-04 8.068E-04 1.132E-03 5.213E-03 5.834E+00 15 19.83 35.00 6.156E-05 8.445E-03 3.619E-04 4.553E-04 5.999E-04 4.762E-03 5.617E+00 17 21.46 40.00 3.596E-05 5.605E-03 1.949E-04 2.362E-04 2.965E-04 4.393E-03 5.221E+00 19 22.79 45.00 2.215E-05 3.812E-03 1.201E-04 1.420E-04 1.726E-04 4.156E-03 4.993E+00 21 23.92 50.00 1.416E-05 2.644E-03 6.352E-05 7.310E-05 8.610E-05 3.997E-03 4.579E+00 Waveband 15 of 30 completed in 7.4 sec. * * * * * Output for wavelength band 16 (550.0 to 560.0 nm; nominal wavelength = 555.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 157.7 m at 555.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 550.0 nm to 560.0 nm: Ed(diffuse) = 3.046E-01 Ed(direct) = 4.316E-01 Ed(total) = 7.363E-01 Absorption Coefficients of Individual Components at 555.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0596 0.0060 0.0000 0.0013 0.0670 3 1.752 5.000 0.0596 0.0080 0.0000 0.0017 0.0693 5 4.812 10.000 0.0596 0.0203 0.0000 0.0033 0.0832 7 9.115 15.000 0.0596 0.0227 0.0000 0.0036 0.0859 9 12.924 20.000 0.0596 0.0144 0.0000 0.0026 0.0766 11 15.694 25.000 0.0596 0.0108 0.0000 0.0021 0.0725 13 17.975 30.000 0.0596 0.0090 0.0000 0.0018 0.0704 15 19.999 35.000 0.0596 0.0080 0.0000 0.0017 0.0693 17 21.655 40.000 0.0596 0.0050 0.0000 0.0012 0.0658 19 23.021 45.000 0.0596 0.0050 0.0000 0.0012 0.0658 21 24.174 50.000 0.0596 0.0028 0.0000 0.0007 0.0631 Scattering Coefficients of Individual Components at 555.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0018 0.1200 0.1240 0.0000 0.2458 3 1.752 5.000 0.0018 0.1455 0.1704 0.0000 0.3177 5 4.812 10.000 0.0018 0.2634 0.4710 0.0000 0.7362 7 9.115 15.000 0.0018 0.2816 0.5318 0.0000 0.8153 9 12.924 20.000 0.0018 0.2132 0.3248 0.0000 0.5398 11 15.694 25.000 0.0018 0.1776 0.2378 0.0000 0.4173 13 17.975 30.000 0.0018 0.1569 0.1931 0.0000 0.3519 15 19.999 35.000 0.0018 0.1455 0.1704 0.0000 0.3177 17 21.655 40.000 0.0018 0.1054 0.1002 0.0000 0.2074 19 23.021 45.000 0.0018 0.1054 0.1002 0.0000 0.2074 21 24.174 50.000 0.0018 0.0696 0.0511 0.0000 0.1225 Backscattering Coefficients of Individual Components at 555.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00092 0.00168 0.00022 0.00000 0.00282 3 1.752 5.000 0.00092 0.00204 0.00030 0.00000 0.00326 5 4.812 10.000 0.00092 0.00369 0.00083 0.00000 0.00544 7 9.115 15.000 0.00092 0.00395 0.00094 0.00000 0.00580 9 12.924 20.000 0.00092 0.00299 0.00057 0.00000 0.00448 11 15.694 25.000 0.00092 0.00249 0.00042 0.00000 0.00383 13 17.975 30.000 0.00092 0.00220 0.00034 0.00000 0.00346 15 19.999 35.000 0.00092 0.00204 0.00030 0.00000 0.00326 17 21.655 40.000 0.00092 0.00148 0.00018 0.00000 0.00257 19 23.021 45.000 0.00092 0.00148 0.00018 0.00000 0.00257 21 24.174 50.000 0.00092 0.00098 0.00009 0.00000 0.00199 Summary of Inherent Optical Properties at 555.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0670 0.2458 0.3128 0.7858 0.00282 0.01148 3 1.752 5.000 0.0693 0.3177 0.3870 0.8210 0.00326 0.01026 5 4.812 10.000 0.0832 0.7362 0.8194 0.8985 0.00544 0.00739 7 9.115 15.000 0.0859 0.8153 0.9012 0.9047 0.00580 0.00712 9 12.924 20.000 0.0766 0.5398 0.6164 0.8758 0.00448 0.00830 11 15.694 25.000 0.0725 0.4173 0.4898 0.8519 0.00383 0.00918 13 17.975 30.000 0.0704 0.3519 0.4222 0.8333 0.00346 0.00983 15 19.999 35.000 0.0693 0.3177 0.3870 0.8210 0.00326 0.01026 17 21.655 40.000 0.0658 0.2074 0.2732 0.7592 0.00257 0.01241 19 23.021 45.000 0.0658 0.2074 0.2732 0.7592 0.00257 0.01241 21 24.174 50.000 0.0631 0.1225 0.1857 0.6600 0.00199 0.01621 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.0488E-01 8 20.00 6.9294E-01 7 30.00 4.5581E-01 6 40.00 2.6531E-01 5 50.00 1.4195E-01 4 60.00 7.2923E-02 3 70.00 3.7607E-02 2 80.00 2.0366E-02 1 87.50 1.3379E-02 1 92.50 1.0206E-02 2 100.00 7.3879E-03 3 110.00 5.2735E-03 4 120.00 4.1146E-03 5 130.00 3.4724E-03 6 140.00 3.1110E-03 7 150.00 2.9070E-03 8 160.00 2.7945E-03 9 170.00 2.7379E-03 10 180.00 2.7177E-03 Asymptotic AOP values are MUu(inf) = 0.3806 MUd(inf) = 0.8027 MU(inf) = 0.7713 R(inf) = 0.0129 Lu(inf)/Ed(inf) = 0.002949 (1/sr) k(inf) = 0.0819 (1/m) absorp(check) = 0.0631 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 555.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.7075E-01 1.6837E+00 1.9545E+00 6.6408E-02 7.3627E-01 0.2453 0.4373 0.3427 9.0195E-02 1 0.00 0.00 4.4753E-02 9.2716E-01 9.7192E-01 1.7999E-02 6.8786E-01 0.4022 0.7419 0.6892 2.6166E-02 3 1.75 5.00 4.0670E-02 5.9616E-01 6.3683E-01 1.5243E-02 4.1435E-01 0.3748 0.6950 0.6267 3.6787E-02 5 4.81 10.00 3.0277E-02 3.3475E-01 3.6503E-01 1.0342E-02 2.2161E-01 0.3416 0.6620 0.5788 4.6669E-02 7 9.12 15.00 1.4319E-02 1.6083E-01 1.7515E-01 4.7030E-03 1.0658E-01 0.3284 0.6627 0.5816 4.4128E-02 9 12.92 20.00 5.7766E-03 7.8740E-02 8.4517E-02 1.8968E-03 5.3491E-02 0.3284 0.6793 0.6105 3.5460E-02 11 15.69 25.00 2.6764E-03 4.2132E-02 4.4808E-02 8.9014E-04 2.9313E-02 0.3326 0.6957 0.6343 3.0367E-02 13 17.98 30.00 1.3538E-03 2.3719E-02 2.5073E-02 4.5440E-04 1.6810E-02 0.3357 0.7087 0.6523 2.7031E-02 15 20.00 35.00 6.9958E-04 1.3769E-02 1.4469E-02 2.3399E-04 9.8959E-03 0.3345 0.7187 0.6678 2.3646E-02 17 21.66 40.00 3.4793E-04 8.2095E-03 8.5575E-03 1.2086E-04 6.0078E-03 0.3474 0.7318 0.6879 2.0118E-02 19 23.02 45.00 1.9670E-04 5.0504E-03 5.2471E-03 6.8551E-05 3.7481E-03 0.3485 0.7421 0.7013 1.8290E-02 21 24.17 50.00 1.0329E-04 3.1578E-03 3.2610E-03 3.8542E-05 2.3842E-03 0.3731 0.7550 0.7193 1.6166E-02 K-functions (units of 1/meter) at 555.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.02139 0.08130 0.07854 0.03112 0.09509 0.09681 0.05842 5.000 5.010 5.005 0.00546 0.09823 0.09230 0.02701 0.10702 0.11008 0.06570 10.000 10.010 10.005 0.12286 0.13721 0.13602 0.13377 0.14267 0.14311 0.14900 15.000 15.010 15.005 0.18367 0.15180 0.15440 0.18926 0.14893 0.14707 0.18383 20.000 20.010 20.005 0.16172 0.13192 0.13395 0.15950 0.12613 0.12491 0.14867 25.000 25.010 25.005 0.14123 0.11899 0.12032 0.13889 0.11458 0.11381 0.13073 30.000 30.010 30.005 0.12910 0.11128 0.11224 0.12863 0.10794 0.10737 0.12319 35.000 35.010 35.005 0.14496 0.10666 0.10851 0.14273 0.10410 0.10317 0.12663 40.000 40.010 40.005 0.11054 0.09961 0.10005 0.10724 0.09523 0.09498 0.10105 45.000 45.010 45.005 0.13524 0.09578 0.09726 0.12852 0.09371 0.09306 0.10811 50.000 50.010 50.005 0.09333 0.09136 0.09143 0.08640 0.08695 0.08696 0.08010 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 3.20072E-02 2.01085E-03 7.30148E-04 2.74099E-03 2.73113E-03 0.022812 9 1 10.0 0.0 180.0 2.83146E-02 2.01916E-03 6.27562E-04 2.64672E-03 2.74242E-03 0.022164 9 4 10.0 45.0 135.0 2.91715E-02 2.01738E-03 6.49063E-04 2.66645E-03 2.74001E-03 0.022250 9 7 10.0 90.0 90.0 3.21258E-02 2.03699E-03 7.29896E-04 2.76689E-03 2.76664E-03 0.022720 8 1 20.0 0.0 180.0 2.76665E-02 2.04282E-03 6.14491E-04 2.65731E-03 2.77456E-03 0.022211 8 4 20.0 45.0 135.0 2.85435E-02 2.03053E-03 6.35195E-04 2.66573E-03 2.75787E-03 0.022254 8 7 20.0 90.0 90.0 3.28078E-02 2.06611E-03 7.42546E-04 2.80866E-03 2.80620E-03 0.022633 7 1 30.0 0.0 180.0 2.90327E-02 2.08553E-03 6.85417E-04 2.77095E-03 2.83257E-03 0.023608 7 4 30.0 45.0 135.0 2.94679E-02 2.09083E-03 6.93396E-04 2.78423E-03 2.83977E-03 0.023531 7 7 30.0 90.0 90.0 3.42066E-02 2.13103E-03 8.10438E-04 2.94147E-03 2.89437E-03 0.023692 6 1 40.0 0.0 180.0 3.28971E-02 2.13474E-03 9.35929E-04 3.07067E-03 2.89941E-03 0.028450 6 4 40.0 45.0 135.0 3.23664E-02 2.13579E-03 9.09681E-04 3.04547E-03 2.90083E-03 0.028106 6 7 40.0 90.0 90.0 3.67545E-02 2.19980E-03 1.02735E-03 3.22715E-03 2.98777E-03 0.027952 5 1 50.0 0.0 180.0 4.03196E-02 2.19478E-03 1.74401E-03 3.93879E-03 2.98095E-03 0.043255 5 4 50.0 45.0 135.0 3.81199E-02 2.18195E-03 1.62528E-03 3.80722E-03 2.96352E-03 0.042636 5 7 50.0 90.0 90.0 4.12284E-02 2.27001E-03 1.70276E-03 3.97278E-03 3.08313E-03 0.041301 4 1 60.0 0.0 180.0 5.36290E-02 2.19476E-03 4.46257E-03 6.65733E-03 2.98092E-03 0.083212 4 4 60.0 45.0 135.0 4.86846E-02 2.17654E-03 3.97671E-03 6.15325E-03 2.95617E-03 0.081683 4 7 60.0 90.0 90.0 4.91309E-02 2.31110E-03 3.87919E-03 6.19030E-03 3.13894E-03 0.078956 3 1 70.0 0.0 180.0 7.86241E-02 2.06410E-03 1.27418E-02 1.48059E-02 2.80346E-03 0.162060 3 4 70.0 45.0 135.0 6.88779E-02 2.06606E-03 1.11793E-02 1.32454E-02 2.80613E-03 0.162306 3 7 70.0 90.0 90.0 6.45023E-02 2.21263E-03 1.03932E-02 1.26058E-02 3.00520E-03 0.161129 2 1 80.0 0.0 180.0 1.33138E-01 1.78707E-03 3.19580E-02 3.37450E-02 2.42720E-03 0.240037 2 4 80.0 45.0 135.0 1.13632E-01 1.78178E-03 2.83504E-02 3.01322E-02 2.42001E-03 0.249493 2 7 80.0 90.0 90.0 9.87281E-02 1.92177E-03 2.57049E-02 2.76267E-02 2.61015E-03 0.260360 1 1 87.5 0.0 180.0 2.08352E-01 1.45052E-03 5.65103E-02 5.79608E-02 1.97009E-03 0.271225 1 4 87.5 45.0 135.0 1.75600E-01 1.37417E-03 5.16119E-02 5.29861E-02 1.86640E-03 0.293918 1 7 87.5 90.0 90.0 1.45176E-01 1.64958E-03 4.58701E-02 4.75197E-02 2.24047E-03 0.315962 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 2.741E-03 3.201E-02 1.332E-01 9.635E-02 8.745E-01 3.723E-03 2.423E+01 2.011E-03 2.731E-03 1 0.00 0.00 3.727E-03 5.781E-02 7.634E-03 9.139E-03 3.319E-02 5.418E-03 4.830E+00 3 1.75 5.00 2.725E-03 6.246E-02 6.228E-03 8.851E-03 3.253E-02 6.576E-03 5.594E+00 5 4.81 10.00 1.591E-03 6.224E-02 5.279E-03 8.641E-03 2.750E-02 7.181E-03 6.499E+00 7 9.12 15.00 6.965E-04 4.623E-02 3.165E-03 5.153E-03 1.166E-02 6.535E-03 6.753E+00 9 12.92 20.00 2.986E-04 2.835E-02 1.581E-03 2.363E-03 4.180E-03 5.582E-03 6.352E+00 11 15.69 25.00 1.479E-04 1.730E-02 8.179E-04 1.137E-03 1.749E-03 5.044E-03 6.020E+00 13 17.98 30.00 7.831E-05 1.068E-02 4.438E-04 5.831E-04 8.193E-04 4.658E-03 5.803E+00 15 20.00 35.00 4.202E-05 6.650E-03 2.492E-04 3.134E-04 4.131E-04 4.246E-03 5.569E+00 17 21.66 40.00 2.354E-05 4.249E-03 1.260E-04 1.525E-04 1.912E-04 3.918E-03 5.134E+00 19 23.02 45.00 1.400E-05 2.779E-03 7.422E-05 8.754E-05 1.062E-04 3.735E-03 4.897E+00 21 24.17 50.00 8.655E-06 1.852E-03 3.689E-05 4.228E-05 4.959E-05 3.630E-03 4.453E+00 Waveband 16 of 30 completed in 7.2 sec. * * * * * Output for wavelength band 17 (560.0 to 570.0 nm; nominal wavelength = 565.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 156.0 m at 565.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 560.0 nm to 570.0 nm: Ed(diffuse) = 2.984E-01 Ed(direct) = 4.302E-01 Ed(total) = 7.287E-01 Absorption Coefficients of Individual Components at 565.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0642 0.0053 0.0000 0.0012 0.0706 3 1.762 5.000 0.0642 0.0070 0.0000 0.0014 0.0726 5 4.830 10.000 0.0642 0.0175 0.0000 0.0029 0.0846 7 9.138 15.000 0.0642 0.0196 0.0000 0.0032 0.0870 9 12.954 20.000 0.0642 0.0125 0.0000 0.0022 0.0789 11 15.731 25.000 0.0642 0.0094 0.0000 0.0018 0.0754 13 18.021 30.000 0.0642 0.0078 0.0000 0.0016 0.0736 15 20.054 35.000 0.0642 0.0070 0.0000 0.0014 0.0726 17 21.721 40.000 0.0642 0.0044 0.0000 0.0010 0.0696 19 23.099 45.000 0.0642 0.0044 0.0000 0.0010 0.0696 21 24.265 50.000 0.0642 0.0024 0.0000 0.0007 0.0673 Scattering Coefficients of Individual Components at 565.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0017 0.1193 0.1233 0.0000 0.2444 3 1.762 5.000 0.0017 0.1449 0.1697 0.0000 0.3163 5 4.830 10.000 0.0017 0.2634 0.4710 0.0000 0.7361 7 9.138 15.000 0.0017 0.2816 0.5318 0.0000 0.8152 9 12.954 20.000 0.0017 0.2129 0.3243 0.0000 0.5389 11 15.731 25.000 0.0017 0.1771 0.2372 0.0000 0.4160 13 18.021 30.000 0.0017 0.1563 0.1924 0.0000 0.3505 15 20.054 35.000 0.0017 0.1449 0.1697 0.0000 0.3163 17 21.721 40.000 0.0017 0.1047 0.0996 0.0000 0.2060 19 23.099 45.000 0.0017 0.1047 0.0996 0.0000 0.2060 21 24.265 50.000 0.0017 0.0690 0.0506 0.0000 0.1213 Backscattering Coefficients of Individual Components at 565.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00085 0.00167 0.00022 0.00000 0.00274 3 1.762 5.000 0.00085 0.00203 0.00030 0.00000 0.00318 5 4.830 10.000 0.00085 0.00369 0.00083 0.00000 0.00537 7 9.138 15.000 0.00085 0.00395 0.00094 0.00000 0.00574 9 12.954 20.000 0.00085 0.00298 0.00057 0.00000 0.00441 11 15.731 25.000 0.00085 0.00248 0.00042 0.00000 0.00375 13 18.021 30.000 0.00085 0.00219 0.00034 0.00000 0.00338 15 20.054 35.000 0.00085 0.00203 0.00030 0.00000 0.00318 17 21.721 40.000 0.00085 0.00147 0.00018 0.00000 0.00250 19 23.099 45.000 0.00085 0.00147 0.00018 0.00000 0.00250 21 24.265 50.000 0.00085 0.00097 0.00009 0.00000 0.00191 Summary of Inherent Optical Properties at 565.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0706 0.2444 0.3150 0.7758 0.00274 0.01122 3 1.762 5.000 0.0726 0.3163 0.3889 0.8133 0.00318 0.01006 5 4.830 10.000 0.0846 0.7361 0.8207 0.8969 0.00537 0.00730 7 9.138 15.000 0.0870 0.8152 0.9021 0.9036 0.00574 0.00704 9 12.954 20.000 0.0789 0.5389 0.6178 0.8723 0.00441 0.00818 11 15.731 25.000 0.0754 0.4160 0.4914 0.8466 0.00375 0.00902 13 18.021 30.000 0.0736 0.3505 0.4240 0.8265 0.00338 0.00965 15 20.054 35.000 0.0726 0.3163 0.3889 0.8133 0.00318 0.01006 17 21.721 40.000 0.0696 0.2060 0.2755 0.7475 0.00250 0.01211 19 23.099 45.000 0.0696 0.2060 0.2755 0.7475 0.00250 0.01211 21 24.265 50.000 0.0673 0.1213 0.1886 0.6433 0.00191 0.01573 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.0085E-01 8 20.00 6.8183E-01 7 30.00 4.4071E-01 6 40.00 2.5116E-01 5 50.00 1.3144E-01 4 60.00 6.6139E-02 3 70.00 3.3520E-02 2 80.00 1.7915E-02 1 87.50 1.1686E-02 1 92.50 8.8878E-03 2 100.00 6.4128E-03 3 110.00 4.5652E-03 4 120.00 3.5591E-03 5 130.00 3.0046E-03 6 140.00 2.6940E-03 7 150.00 2.5195E-03 8 160.00 2.4236E-03 9 170.00 2.3756E-03 10 180.00 2.3583E-03 Asymptotic AOP values are MUu(inf) = 0.3802 MUd(inf) = 0.8089 MU(inf) = 0.7804 R(inf) = 0.0116 Lu(inf)/Ed(inf) = 0.002645 (1/sr) k(inf) = 0.0862 (1/m) absorp(check) = 0.0673 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 565.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.6632E-01 1.6642E+00 1.9306E+00 6.5159E-02 7.2866E-01 0.2447 0.4378 0.3437 8.9424E-02 1 0.00 0.00 4.1284E-02 9.1523E-01 9.5652E-01 1.6568E-02 6.8006E-01 0.4013 0.7430 0.6937 2.4362E-02 3 1.76 5.00 3.7507E-02 5.7467E-01 6.1218E-01 1.4066E-02 4.0047E-01 0.3750 0.6969 0.6312 3.5125E-02 5 4.83 10.00 2.8216E-02 3.1808E-01 3.4630E-01 9.6173E-03 2.1104E-01 0.3408 0.6635 0.5816 4.5571E-02 7 9.14 15.00 1.3257E-02 1.5181E-01 1.6507E-01 4.3319E-03 1.0076E-01 0.3268 0.6637 0.5842 4.2991E-02 9 12.95 20.00 5.2012E-03 7.3484E-02 7.8685E-02 1.6978E-03 5.0043E-02 0.3264 0.6810 0.6144 3.3927E-02 11 15.73 25.00 2.3441E-03 3.8644E-02 4.0988E-02 7.7596E-04 2.6983E-02 0.3310 0.6983 0.6394 2.8757E-02 13 18.02 30.00 1.1568E-03 2.1346E-02 2.2502E-02 3.8708E-04 1.5195E-02 0.3346 0.7119 0.6581 2.5474E-02 15 20.05 35.00 5.8403E-04 1.2151E-02 1.2735E-02 1.9491E-04 8.7762E-03 0.3337 0.7223 0.6738 2.2209E-02 17 21.72 40.00 2.8231E-04 7.0922E-03 7.3745E-03 9.8241E-05 5.2194E-03 0.3480 0.7359 0.6944 1.8822E-02 19 23.10 45.00 1.5668E-04 4.2682E-03 4.4249E-03 5.4811E-05 3.1867E-03 0.3498 0.7466 0.7078 1.7200E-02 21 24.26 50.00 8.0536E-05 2.6092E-03 2.6897E-03 3.0310E-05 1.9825E-03 0.3764 0.7598 0.7258 1.5288E-02 K-functions (units of 1/meter) at 565.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.02103 0.08581 0.08302 0.03158 0.09974 0.10144 0.05887 5.000 5.010 5.005 0.00196 0.10281 0.09663 0.02404 0.11138 0.11456 0.06413 10.000 10.010 10.005 0.12303 0.13862 0.13735 0.13440 0.14434 0.14481 0.15053 15.000 15.010 15.005 0.18747 0.15293 0.15571 0.19378 0.15013 0.14817 0.18863 20.000 20.010 20.005 0.16725 0.13517 0.13729 0.16485 0.12909 0.12784 0.15332 25.000 25.010 25.005 0.14632 0.12273 0.12408 0.14368 0.11811 0.11735 0.13483 30.000 30.010 30.005 0.13363 0.11519 0.11614 0.13287 0.11171 0.11116 0.12697 35.000 35.010 35.005 0.15057 0.11060 0.11243 0.14799 0.10796 0.10705 0.13094 40.000 40.010 40.005 0.11448 0.10414 0.10454 0.11057 0.09962 0.09941 0.10381 45.000 45.010 45.005 0.13978 0.10008 0.10148 0.13238 0.09796 0.09736 0.11099 50.000 50.010 50.005 0.09594 0.09607 0.09607 0.08840 0.09158 0.09163 0.08139 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 565.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 3.13530E-02 1.85380E-03 7.15225E-04 2.56903E-03 2.54414E-03 0.022812 9 1 10.0 0.0 180.0 2.77359E-02 1.86091E-03 6.14736E-04 2.47564E-03 2.55389E-03 0.022164 9 4 10.0 45.0 135.0 2.85753E-02 1.85933E-03 6.35798E-04 2.49512E-03 2.55172E-03 0.022250 9 7 10.0 90.0 90.0 3.14692E-02 1.87760E-03 7.14978E-04 2.59258E-03 2.57680E-03 0.022720 8 1 20.0 0.0 180.0 2.71011E-02 1.88200E-03 6.01932E-04 2.48393E-03 2.58284E-03 0.022211 8 4 20.0 45.0 135.0 2.79601E-02 1.87073E-03 6.22213E-04 2.49295E-03 2.56737E-03 0.022254 8 7 20.0 90.0 90.0 3.21373E-02 1.90384E-03 7.27370E-04 2.63120E-03 2.61280E-03 0.022633 7 1 30.0 0.0 180.0 2.84393E-02 1.92045E-03 6.71409E-04 2.59186E-03 2.63561E-03 0.023608 7 4 30.0 45.0 135.0 2.88656E-02 1.92537E-03 6.79224E-04 2.60459E-03 2.64236E-03 0.023531 7 7 30.0 90.0 90.0 3.35075E-02 1.96283E-03 7.93874E-04 2.75670E-03 2.69376E-03 0.023692 6 1 40.0 0.0 180.0 3.22247E-02 1.96423E-03 9.16801E-04 2.88104E-03 2.69570E-03 0.028450 6 4 40.0 45.0 135.0 3.17048E-02 1.96519E-03 8.91089E-04 2.85628E-03 2.69701E-03 0.028106 6 7 40.0 90.0 90.0 3.60033E-02 2.02467E-03 1.00635E-03 3.03102E-03 2.77864E-03 0.027952 5 1 50.0 0.0 180.0 3.94956E-02 2.01785E-03 1.70837E-03 3.72622E-03 2.76927E-03 0.043255 5 4 50.0 45.0 135.0 3.73408E-02 2.00599E-03 1.59206E-03 3.59805E-03 2.75300E-03 0.042636 5 7 50.0 90.0 90.0 4.03858E-02 2.08769E-03 1.66796E-03 3.75565E-03 2.86512E-03 0.041301 4 1 60.0 0.0 180.0 5.25329E-02 2.01614E-03 4.37136E-03 6.38750E-03 2.76693E-03 0.083212 4 4 60.0 45.0 135.0 4.76898E-02 1.99930E-03 3.89544E-03 5.89474E-03 2.74382E-03 0.081683 4 7 60.0 90.0 90.0 4.81255E-02 2.12384E-03 3.79990E-03 5.92374E-03 2.91474E-03 0.078958 3 1 70.0 0.0 180.0 7.70172E-02 1.89427E-03 1.24814E-02 1.43757E-02 2.59968E-03 0.162060 3 4 70.0 45.0 135.0 6.74702E-02 1.89597E-03 1.09508E-02 1.28468E-02 2.60201E-03 0.162306 3 7 70.0 90.0 90.0 6.31840E-02 2.03159E-03 1.01808E-02 1.22123E-02 2.78813E-03 0.161129 2 1 80.0 0.0 180.0 1.30416E-01 1.63861E-03 3.13048E-02 3.29434E-02 2.24881E-03 0.240037 2 4 80.0 45.0 135.0 1.11310E-01 1.63364E-03 2.77710E-02 2.94046E-02 2.24199E-03 0.249493 2 7 80.0 90.0 90.0 9.67103E-02 1.76325E-03 2.51795E-02 2.69428E-02 2.41987E-03 0.260360 1 1 87.5 0.0 180.0 2.04094E-01 1.32894E-03 5.53553E-02 5.66842E-02 1.82382E-03 0.271225 1 4 87.5 45.0 135.0 1.72011E-01 1.25893E-03 5.05570E-02 5.18160E-02 1.72775E-03 0.293918 1 7 87.5 90.0 90.0 1.42209E-01 1.51259E-03 4.49325E-02 4.64451E-02 2.07587E-03 0.315961 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 565.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 2.569E-03 3.135E-02 1.304E-01 9.433E-02 8.636E-01 3.526E-03 2.536E+01 1.854E-03 2.544E-03 1 0.00 0.00 3.436E-03 5.662E-02 7.009E-03 8.424E-03 3.169E-02 5.052E-03 4.822E+00 3 1.76 5.00 2.518E-03 6.019E-02 5.672E-03 8.117E-03 3.030E-02 6.287E-03 5.587E+00 5 4.83 10.00 1.472E-03 5.935E-02 4.888E-03 8.050E-03 2.585E-02 6.974E-03 6.535E+00 7 9.14 15.00 6.351E-04 4.384E-02 2.933E-03 4.800E-03 1.093E-02 6.303E-03 6.821E+00 9 12.95 20.00 2.654E-04 2.665E-02 1.433E-03 2.152E-03 3.825E-03 5.302E-03 6.398E+00 11 15.73 25.00 1.285E-04 1.605E-02 7.221E-04 1.007E-03 1.554E-03 4.761E-03 6.040E+00 13 18.02 30.00 6.670E-05 9.754E-03 3.820E-04 5.029E-04 7.085E-04 4.390E-03 5.803E+00 15 20.05 35.00 3.508E-05 5.970E-03 2.095E-04 2.639E-04 3.484E-04 3.998E-03 5.555E+00 17 21.72 40.00 1.929E-05 3.746E-03 1.025E-04 1.241E-04 1.558E-04 3.696E-03 5.093E+00 19 23.10 45.00 1.131E-05 2.403E-03 5.908E-05 6.965E-05 8.445E-05 3.550E-03 4.844E+00 21 24.26 50.00 6.917E-06 1.570E-03 2.848E-05 3.259E-05 3.816E-05 3.489E-03 4.382E+00 Waveband 17 of 30 completed in 7.4 sec. * * * * * Output for wavelength band 18 (570.0 to 580.0 nm; nominal wavelength = 575.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 149.9 m at 575.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 570.0 nm to 580.0 nm: Ed(diffuse) = 2.958E-01 Ed(direct) = 4.334E-01 Ed(total) = 7.292E-01 Absorption Coefficients of Individual Components at 575.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0772 0.0049 0.0000 0.0010 0.0831 3 1.817 5.000 0.0772 0.0065 0.0000 0.0013 0.0850 5 4.941 10.000 0.0772 0.0163 0.0000 0.0025 0.0961 7 9.305 15.000 0.0772 0.0183 0.0000 0.0027 0.0982 9 13.177 20.000 0.0772 0.0117 0.0000 0.0019 0.0908 11 16.009 25.000 0.0772 0.0088 0.0000 0.0016 0.0876 13 18.354 30.000 0.0772 0.0073 0.0000 0.0014 0.0859 15 20.441 35.000 0.0772 0.0065 0.0000 0.0013 0.0850 17 22.164 40.000 0.0772 0.0041 0.0000 0.0009 0.0822 19 23.598 45.000 0.0772 0.0041 0.0000 0.0009 0.0822 21 24.821 50.000 0.0772 0.0023 0.0000 0.0006 0.0801 Scattering Coefficients of Individual Components at 575.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0016 0.1187 0.1227 0.0000 0.2430 3 1.817 5.000 0.0016 0.1443 0.1690 0.0000 0.3149 5 4.941 10.000 0.0016 0.2634 0.4710 0.0000 0.7359 7 9.305 15.000 0.0016 0.2816 0.5318 0.0000 0.8150 9 13.177 20.000 0.0016 0.2126 0.3239 0.0000 0.5380 11 16.009 25.000 0.0016 0.1767 0.2366 0.0000 0.4148 13 18.354 30.000 0.0016 0.1558 0.1918 0.0000 0.3491 15 20.441 35.000 0.0016 0.1443 0.1690 0.0000 0.3149 17 22.164 40.000 0.0016 0.1041 0.0990 0.0000 0.2046 19 23.598 45.000 0.0016 0.1041 0.0990 0.0000 0.2046 21 24.821 50.000 0.0016 0.0684 0.0502 0.0000 0.1202 Backscattering Coefficients of Individual Components at 575.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00079 0.00166 0.00022 0.00000 0.00267 3 1.817 5.000 0.00079 0.00202 0.00030 0.00000 0.00311 5 4.941 10.000 0.00079 0.00369 0.00083 0.00000 0.00531 7 9.305 15.000 0.00079 0.00395 0.00094 0.00000 0.00567 9 13.177 20.000 0.00079 0.00298 0.00057 0.00000 0.00434 11 16.009 25.000 0.00079 0.00248 0.00042 0.00000 0.00368 13 18.354 30.000 0.00079 0.00218 0.00034 0.00000 0.00331 15 20.441 35.000 0.00079 0.00202 0.00030 0.00000 0.00311 17 22.164 40.000 0.00079 0.00146 0.00017 0.00000 0.00242 19 23.598 45.000 0.00079 0.00146 0.00017 0.00000 0.00242 21 24.821 50.000 0.00079 0.00096 0.00009 0.00000 0.00184 Summary of Inherent Optical Properties at 575.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0831 0.2430 0.3261 0.7450 0.00267 0.01099 3 1.817 5.000 0.0850 0.3149 0.3999 0.7875 0.00311 0.00988 5 4.941 10.000 0.0961 0.7359 0.8320 0.8845 0.00531 0.00722 7 9.305 15.000 0.0982 0.8150 0.9132 0.8925 0.00567 0.00696 9 13.177 20.000 0.0908 0.5380 0.6288 0.8556 0.00434 0.00807 11 16.009 25.000 0.0876 0.4148 0.5024 0.8257 0.00368 0.00888 13 18.354 30.000 0.0859 0.3491 0.4350 0.8026 0.00331 0.00948 15 20.441 35.000 0.0850 0.3149 0.3999 0.7875 0.00311 0.00988 17 22.164 40.000 0.0822 0.2046 0.2868 0.7134 0.00242 0.01184 19 23.598 45.000 0.0822 0.2046 0.2868 0.7134 0.00242 0.01184 21 24.821 50.000 0.0801 0.1202 0.2002 0.6001 0.00184 0.01529 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.8991E-01 8 20.00 6.5239E-01 7 30.00 4.0227E-01 6 40.00 2.1685E-01 5 50.00 1.0724E-01 4 60.00 5.1309E-02 3 70.00 2.5007E-02 2 80.00 1.3022E-02 1 87.50 8.3997E-03 1 92.50 6.3732E-03 2 100.00 4.5920E-03 3 110.00 3.2740E-03 4 120.00 2.5654E-03 5 130.00 2.1791E-03 6 140.00 1.9651E-03 7 150.00 1.8463E-03 8 160.00 1.7818E-03 9 170.00 1.7499E-03 10 180.00 1.7383E-03 Asymptotic AOP values are MUu(inf) = 0.3824 MUd(inf) = 0.8239 MU(inf) = 0.8006 R(inf) = 0.0091 Lu(inf)/Ed(inf) = 0.002124 (1/sr) k(inf) = 0.1000 (1/m) absorp(check) = 0.0801 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 575.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.6327E-01 1.6635E+00 1.9268E+00 6.3809E-02 7.2917E-01 0.2424 0.4383 0.3453 8.7509E-02 1 0.00 0.00 3.3547E-02 9.0961E-01 9.4316E-01 1.3295E-02 6.7866E-01 0.3963 0.7461 0.7055 1.9590E-02 3 1.82 5.00 2.8906E-02 5.2369E-01 5.5260E-01 1.0759E-02 3.6776E-01 0.3722 0.7022 0.6460 2.9255E-02 5 4.94 10.00 2.0956E-02 2.6675E-01 2.8770E-01 7.0725E-03 1.7893E-01 0.3375 0.6708 0.5973 3.9527E-02 7 9.31 15.00 9.1759E-03 1.1799E-01 1.2717E-01 2.9690E-03 7.9307E-02 0.3236 0.6721 0.6003 3.7437E-02 9 13.18 20.00 3.2664E-03 5.2963E-02 5.6229E-02 1.0598E-03 3.6592E-02 0.3244 0.6909 0.6319 2.8962E-02 11 16.01 25.00 1.3501E-03 2.5819E-02 2.7169E-02 4.4697E-04 1.8319E-02 0.3311 0.7095 0.6578 2.4399E-02 13 18.35 30.00 6.1837E-04 1.3239E-02 1.3858E-02 2.0844E-04 9.5855E-03 0.3371 0.7240 0.6767 2.1745E-02 15 20.44 35.00 2.9291E-04 7.0066E-03 7.2995E-03 9.9218E-05 5.1492E-03 0.3387 0.7349 0.6918 1.9269E-02 17 22.16 40.00 1.3311E-04 3.8031E-03 3.9362E-03 4.7620E-05 2.8488E-03 0.3578 0.7491 0.7116 1.6716E-02 19 23.60 45.00 7.1266E-05 2.1309E-03 2.2022E-03 2.5914E-05 1.6193E-03 0.3636 0.7599 0.7235 1.6003E-02 21 24.82 50.00 3.5965E-05 1.2142E-03 1.2502E-03 1.4215E-05 9.3859E-04 0.3952 0.7730 0.7394 1.5145E-02 K-functions (units of 1/meter) at 575.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.03070 0.10155 0.09903 0.04244 0.11606 0.11753 0.06973 5.000 5.010 5.005 0.00513 0.12046 0.11442 0.02774 0.12805 0.13108 0.07012 10.000 10.010 10.005 0.13603 0.15423 0.15291 0.14732 0.15956 0.16007 0.16316 15.000 15.010 15.005 0.20514 0.16758 0.17029 0.21156 0.16461 0.16278 0.20509 20.000 20.010 20.005 0.18529 0.15057 0.15258 0.18170 0.14403 0.14291 0.16781 25.000 25.010 25.005 0.16211 0.13780 0.13900 0.15814 0.13290 0.13227 0.14704 30.000 30.010 30.005 0.14714 0.12995 0.13071 0.14489 0.12632 0.12591 0.13699 35.000 35.010 35.005 0.16370 0.12505 0.12660 0.15915 0.12237 0.12165 0.13954 40.000 40.010 40.005 0.12356 0.11871 0.11888 0.11747 0.11410 0.11404 0.10860 45.000 45.010 45.005 0.14548 0.11415 0.11516 0.13541 0.11211 0.11173 0.11255 50.000 50.010 50.005 0.09835 0.11010 0.10976 0.08944 0.10573 0.10598 0.08100 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 575.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 3.10750E-02 1.48929E-03 7.08883E-04 2.19818E-03 2.04244E-03 0.022812 9 1 10.0 0.0 180.0 2.74900E-02 1.49979E-03 6.09285E-04 2.10907E-03 2.05683E-03 0.022164 9 4 10.0 45.0 135.0 2.83219E-02 1.49679E-03 6.30160E-04 2.12695E-03 2.05272E-03 0.022250 9 7 10.0 90.0 90.0 3.11902E-02 1.50725E-03 7.08638E-04 2.21589E-03 2.06706E-03 0.022720 8 1 20.0 0.0 180.0 2.68608E-02 1.51832E-03 5.96595E-04 2.11492E-03 2.08225E-03 0.022211 8 4 20.0 45.0 135.0 2.77122E-02 1.50634E-03 6.16696E-04 2.12304E-03 2.06582E-03 0.022254 8 7 20.0 90.0 90.0 3.18523E-02 1.52596E-03 7.20920E-04 2.24688E-03 2.09272E-03 0.022633 7 1 30.0 0.0 180.0 2.81872E-02 1.54999E-03 6.65455E-04 2.21544E-03 2.12568E-03 0.023608 7 4 30.0 45.0 135.0 2.86096E-02 1.54989E-03 6.73202E-04 2.22309E-03 2.12554E-03 0.023531 7 7 30.0 90.0 90.0 3.32104E-02 1.57021E-03 7.86835E-04 2.35705E-03 2.15341E-03 0.023692 6 1 40.0 0.0 180.0 3.19390E-02 1.58477E-03 9.08671E-04 2.49344E-03 2.17338E-03 0.028450 6 4 40.0 45.0 135.0 3.14237E-02 1.58010E-03 8.83188E-04 2.46329E-03 2.16698E-03 0.028106 6 7 40.0 90.0 90.0 3.56841E-02 1.61477E-03 9.97431E-04 2.61220E-03 2.21452E-03 0.027952 5 1 50.0 0.0 180.0 3.91454E-02 1.62688E-03 1.69322E-03 3.32010E-03 2.23112E-03 0.043255 5 4 50.0 45.0 135.0 3.70097E-02 1.61086E-03 1.57794E-03 3.18880E-03 2.20915E-03 0.042636 5 7 50.0 90.0 90.0 4.00277E-02 1.66093E-03 1.65317E-03 3.31410E-03 2.27782E-03 0.041301 4 1 60.0 0.0 180.0 5.20671E-02 1.62430E-03 4.33260E-03 5.95690E-03 2.22758E-03 0.083212 4 4 60.0 45.0 135.0 4.72671E-02 1.60352E-03 3.86090E-03 5.46442E-03 2.19909E-03 0.081683 4 7 60.0 90.0 90.0 4.76977E-02 1.68608E-03 3.76620E-03 5.45228E-03 2.31231E-03 0.078960 3 1 70.0 0.0 180.0 7.63343E-02 1.52511E-03 1.23707E-02 1.38958E-02 2.09156E-03 0.162060 3 4 70.0 45.0 135.0 6.68719E-02 1.51918E-03 1.08537E-02 1.23729E-02 2.08343E-03 0.162306 3 7 70.0 90.0 90.0 6.26238E-02 1.61054E-03 1.00905E-02 1.17010E-02 2.20871E-03 0.161128 2 1 80.0 0.0 180.0 1.29260E-01 1.31880E-03 3.10272E-02 3.23460E-02 1.80861E-03 0.240037 2 4 80.0 45.0 135.0 1.10323E-01 1.30825E-03 2.75247E-02 2.88330E-02 1.79416E-03 0.249493 2 7 80.0 90.0 90.0 9.58528E-02 1.39686E-03 2.49562E-02 2.63531E-02 1.91568E-03 0.260360 1 1 87.5 0.0 180.0 2.02284E-01 1.06969E-03 5.48645E-02 5.59342E-02 1.46699E-03 0.271225 1 4 87.5 45.0 135.0 1.70486E-01 1.00824E-03 5.01088E-02 5.11170E-02 1.38272E-03 0.293918 1 7 87.5 90.0 90.0 1.40948E-01 1.19877E-03 4.45341E-02 4.57329E-02 1.64401E-03 0.315961 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 575.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 2.198E-03 3.108E-02 1.291E-01 9.334E-02 8.624E-01 3.015E-03 2.903E+01 1.489E-03 2.042E-03 1 0.00 0.00 2.760E-03 5.611E-02 5.773E-03 6.904E-03 2.849E-02 4.067E-03 4.816E+00 3 1.82 5.00 1.934E-03 5.590E-02 4.422E-03 6.365E-03 2.451E-02 5.260E-03 5.562E+00 5 4.94 10.00 1.080E-03 5.154E-02 3.677E-03 6.095E-03 1.993E-02 6.035E-03 6.550E+00 7 9.31 15.00 4.348E-04 3.558E-02 2.069E-03 3.399E-03 7.804E-03 5.483E-03 6.828E+00 9 13.18 20.00 1.675E-04 2.021E-02 9.220E-04 1.384E-03 2.465E-03 4.577E-03 6.327E+00 11 16.01 25.00 7.576E-05 1.136E-02 4.243E-04 5.894E-04 9.082E-04 4.136E-03 5.900E+00 13 18.35 30.00 3.718E-05 6.450E-03 2.067E-04 2.704E-04 3.790E-04 3.879E-03 5.606E+00 15 20.44 35.00 1.867E-05 3.686E-03 1.052E-04 1.315E-04 1.723E-04 3.627E-03 5.313E+00 17 22.16 40.00 9.914E-06 2.161E-03 4.738E-05 5.674E-05 7.042E-05 3.480E-03 4.804E+00 19 23.60 45.00 5.722E-06 1.295E-03 2.575E-05 2.996E-05 3.585E-05 3.533E-03 4.529E+00 21 24.82 50.00 3.491E-06 7.910E-04 1.175E-05 1.321E-05 1.520E-05 3.719E-03 4.072E+00 Waveband 18 of 30 completed in 7.4 sec. * * * * * Output for wavelength band 19 (580.0 to 590.0 nm; nominal wavelength = 585.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 136.3 m at 585.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 580.0 nm to 590.0 nm: Ed(diffuse) = 2.862E-01 Ed(direct) = 4.257E-01 Ed(total) = 7.119E-01 Absorption Coefficients of Individual Components at 585.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1100 0.0050 0.0000 0.0009 0.1159 3 1.974 5.000 0.1100 0.0066 0.0000 0.0011 0.1177 5 5.257 10.000 0.1100 0.0164 0.0000 0.0022 0.1285 7 9.783 15.000 0.1100 0.0182 0.0000 0.0024 0.1306 9 13.816 20.000 0.1100 0.0117 0.0000 0.0017 0.1234 11 16.806 25.000 0.1100 0.0089 0.0000 0.0014 0.1203 13 19.308 30.000 0.1100 0.0074 0.0000 0.0012 0.1186 15 21.553 35.000 0.1100 0.0066 0.0000 0.0011 0.1177 17 23.433 40.000 0.1100 0.0042 0.0000 0.0008 0.1150 19 25.024 45.000 0.1100 0.0042 0.0000 0.0008 0.1150 21 26.405 50.000 0.1100 0.0024 0.0000 0.0005 0.1129 Scattering Coefficients of Individual Components at 585.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0015 0.1181 0.1220 0.0000 0.2416 3 1.974 5.000 0.0015 0.1438 0.1684 0.0000 0.3136 5 5.257 10.000 0.0015 0.2634 0.4710 0.0000 0.7358 7 9.783 15.000 0.0015 0.2816 0.5318 0.0000 0.8149 9 13.816 20.000 0.0015 0.2123 0.3235 0.0000 0.5372 11 16.806 25.000 0.0015 0.1762 0.2360 0.0000 0.4136 13 19.308 30.000 0.0015 0.1552 0.1911 0.0000 0.3478 15 21.553 35.000 0.0015 0.1438 0.1684 0.0000 0.3136 17 23.433 40.000 0.0015 0.1034 0.0984 0.0000 0.2033 19 25.024 45.000 0.0015 0.1034 0.0984 0.0000 0.2033 21 26.405 50.000 0.0015 0.0678 0.0497 0.0000 0.1190 Backscattering Coefficients of Individual Components at 585.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00073 0.00166 0.00021 0.00000 0.00260 3 1.974 5.000 0.00073 0.00202 0.00030 0.00000 0.00305 5 5.257 10.000 0.00073 0.00369 0.00083 0.00000 0.00525 7 9.783 15.000 0.00073 0.00395 0.00094 0.00000 0.00562 9 13.816 20.000 0.00073 0.00298 0.00057 0.00000 0.00428 11 16.806 25.000 0.00073 0.00247 0.00042 0.00000 0.00362 13 19.308 30.000 0.00073 0.00218 0.00034 0.00000 0.00325 15 21.553 35.000 0.00073 0.00202 0.00030 0.00000 0.00305 17 23.433 40.000 0.00073 0.00145 0.00017 0.00000 0.00236 19 25.024 45.000 0.00073 0.00145 0.00017 0.00000 0.00236 21 26.405 50.000 0.00073 0.00095 0.00009 0.00000 0.00177 Summary of Inherent Optical Properties at 585.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1159 0.2416 0.3575 0.6758 0.00260 0.01078 3 1.974 5.000 0.1177 0.3136 0.4313 0.7271 0.00305 0.00971 5 5.257 10.000 0.1285 0.7358 0.8644 0.8513 0.00525 0.00714 7 9.783 15.000 0.1306 0.8149 0.9456 0.8619 0.00562 0.00689 9 13.816 20.000 0.1234 0.5372 0.6606 0.8132 0.00428 0.00796 11 16.806 25.000 0.1203 0.4136 0.5339 0.7747 0.00362 0.00875 13 19.308 30.000 0.1186 0.3478 0.4664 0.7457 0.00325 0.00933 15 21.553 35.000 0.1177 0.3136 0.4313 0.7271 0.00305 0.00971 17 23.433 40.000 0.1150 0.2033 0.3182 0.6387 0.00236 0.01159 19 25.024 45.000 0.1150 0.2033 0.3182 0.6387 0.00236 0.01159 21 26.405 50.000 0.1129 0.1190 0.2319 0.5133 0.00177 0.01488 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.6510E-01 8 20.00 5.8954E-01 7 30.00 3.2724E-01 6 40.00 1.5655E-01 5 50.00 6.9013E-02 4 60.00 3.0045E-02 3 70.00 1.3729E-02 2 80.00 6.9037E-03 1 87.50 4.4079E-03 1 92.50 3.3530E-03 2 100.00 2.4283E-03 3 110.00 1.7500E-03 4 120.00 1.3918E-03 5 130.00 1.1999E-03 6 140.00 1.0957E-03 7 150.00 1.0393E-03 8 160.00 1.0095E-03 9 170.00 9.9512E-04 10 180.00 9.8973E-04 Asymptotic AOP values are MUu(inf) = 0.3892 MUd(inf) = 0.8506 MU(inf) = 0.8347 R(inf) = 0.0060 Lu(inf)/Ed(inf) = 0.001438 (1/sr) k(inf) = 0.1352 (1/m) absorp(check) = 0.1129 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 585.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.5281E-01 1.6224E+00 1.8752E+00 6.0381E-02 7.1189E-01 0.2388 0.4388 0.3474 8.4818E-02 1 0.00 0.00 2.1755E-02 8.7912E-01 9.0088E-01 8.3766E-03 6.5989E-01 0.3850 0.7506 0.7232 1.2694E-02 3 1.97 5.00 1.5449E-02 4.0307E-01 4.1852E-01 5.6544E-03 2.8737E-01 0.3660 0.7130 0.6731 1.9676E-02 5 5.26 10.00 9.6830E-03 1.6370E-01 1.7338E-01 3.2189E-03 1.1260E-01 0.3324 0.6878 0.6309 2.8588E-02 7 9.78 15.00 3.4908E-03 5.8481E-02 6.1972E-02 1.1227E-03 4.0509E-02 0.3216 0.6927 0.6356 2.7714E-02 9 13.82 20.00 9.9755E-04 2.1399E-02 2.2396E-02 3.2796E-04 1.5280E-02 0.3288 0.7141 0.6676 2.1464E-02 11 16.81 25.00 3.4564E-04 8.5664E-03 8.9121E-03 1.1890E-04 6.2912E-03 0.3440 0.7344 0.6926 1.8899E-02 13 19.31 30.00 1.3926E-04 3.6322E-03 3.7715E-03 5.0253E-05 2.7218E-03 0.3609 0.7494 0.7084 1.8463E-02 15 21.55 35.00 6.1656E-05 1.5991E-03 1.6608E-03 2.3225E-05 1.2146E-03 0.3767 0.7596 0.7174 1.9121E-02 17 23.43 40.00 2.8541E-05 7.2627E-04 7.5481E-04 1.1739E-05 5.6075E-04 0.4113 0.7721 0.7273 2.0935E-02 19 25.02 45.00 1.6507E-05 3.4336E-04 3.5986E-04 7.0988E-06 2.6765E-04 0.4301 0.7795 0.7240 2.6523E-02 21 26.40 50.00 1.0081E-05 1.6689E-04 1.7697E-04 4.6281E-06 1.3127E-04 0.4591 0.7866 0.7156 3.5258E-02 K-functions (units of 1/meter) at 585.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.06539 0.14398 0.14208 0.08051 0.15897 0.15998 0.10678 5.000 5.010 5.005 0.02689 0.16661 0.16144 0.04926 0.17187 0.17433 0.09365 10.000 10.010 10.005 0.17514 0.19827 0.19698 0.18501 0.20216 0.20267 0.19717 15.000 15.010 15.005 0.24816 0.20882 0.21103 0.25247 0.20539 0.20405 0.24019 20.000 20.010 20.005 0.22435 0.19092 0.19241 0.21600 0.18379 0.18309 0.19467 25.000 25.010 25.005 0.19221 0.17651 0.17712 0.18285 0.17146 0.17124 0.16398 30.000 30.010 30.005 0.16723 0.16738 0.16737 0.15841 0.16388 0.16399 0.14235 35.000 35.010 35.005 0.16844 0.16125 0.16152 0.15516 0.15900 0.15908 0.12977 40.000 40.010 40.005 0.11644 0.15373 0.15232 0.10530 0.14981 0.15076 0.09282 45.000 45.010 45.005 0.11304 0.14709 0.14553 0.10013 0.14629 0.14754 0.08332 50.000 50.010 50.005 0.07147 0.14060 0.13666 0.06545 0.13827 0.14093 0.06025 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 585.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 3.00721E-02 9.38329E-04 6.86005E-04 1.62433E-03 1.31807E-03 0.022812 9 1 10.0 0.0 180.0 2.66028E-02 9.52747E-04 5.89621E-04 1.54237E-03 1.33833E-03 0.022164 9 4 10.0 45.0 135.0 2.74079E-02 9.48216E-04 6.09823E-04 1.55804E-03 1.33196E-03 0.022250 9 7 10.0 90.0 90.0 3.01836E-02 9.48216E-04 6.85768E-04 1.63398E-03 1.33196E-03 0.022720 8 1 20.0 0.0 180.0 2.59939E-02 9.67534E-04 5.77341E-04 1.54487E-03 1.35910E-03 0.022211 8 4 20.0 45.0 135.0 2.68179E-02 9.55561E-04 5.96793E-04 1.55235E-03 1.34228E-03 0.022254 8 7 20.0 90.0 90.0 3.08243E-02 9.57063E-04 6.97654E-04 1.65472E-03 1.34439E-03 0.022633 7 1 30.0 0.0 180.0 2.72775E-02 9.89549E-04 6.43979E-04 1.63353E-03 1.39002E-03 0.023608 7 4 30.0 45.0 135.0 2.76863E-02 9.83441E-04 6.51475E-04 1.63492E-03 1.38144E-03 0.023531 7 7 30.0 90.0 90.0 3.21386E-02 9.81068E-04 7.61441E-04 1.74251E-03 1.37811E-03 0.023692 6 1 40.0 0.0 180.0 3.09082E-02 1.01236E-03 8.79346E-04 1.89171E-03 1.42207E-03 0.028450 6 4 40.0 45.0 135.0 3.04096E-02 1.00139E-03 8.54685E-04 1.85607E-03 1.40665E-03 0.028106 6 7 40.0 90.0 90.0 3.45325E-02 1.00290E-03 9.65241E-04 1.96814E-03 1.40877E-03 0.027952 5 1 50.0 0.0 180.0 3.78820E-02 1.03903E-03 1.63857E-03 2.67761E-03 1.45953E-03 0.043255 5 4 50.0 45.0 135.0 3.58153E-02 1.01938E-03 1.52702E-03 2.54639E-03 1.43192E-03 0.042636 5 7 50.0 90.0 90.0 3.87359E-02 1.02679E-03 1.59982E-03 2.62661E-03 1.44233E-03 0.041301 4 1 60.0 0.0 180.0 5.03867E-02 1.03711E-03 4.19277E-03 5.22989E-03 1.45684E-03 0.083212 4 4 60.0 45.0 135.0 4.57418E-02 1.01339E-03 3.73630E-03 4.74968E-03 1.42351E-03 0.081682 4 7 60.0 90.0 90.0 4.61573E-02 1.03832E-03 3.64465E-03 4.68296E-03 1.45852E-03 0.078961 3 1 70.0 0.0 180.0 7.38707E-02 9.73894E-04 1.19715E-02 1.29454E-02 1.36803E-03 0.162060 3 4 70.0 45.0 135.0 6.47138E-02 9.59562E-04 1.05034E-02 1.14630E-02 1.34790E-03 0.162306 3 7 70.0 90.0 90.0 6.06027E-02 9.89790E-04 9.76481E-03 1.07546E-02 1.39036E-03 0.161128 2 1 80.0 0.0 180.0 1.25088E-01 8.42696E-04 3.00259E-02 3.08686E-02 1.18374E-03 0.240037 2 4 80.0 45.0 135.0 1.06762E-01 8.26539E-04 2.66364E-02 2.74630E-02 1.16104E-03 0.249493 2 7 80.0 90.0 90.0 9.27593E-02 8.58107E-04 2.41508E-02 2.50089E-02 1.20538E-03 0.260360 1 1 87.5 0.0 180.0 1.95756E-01 6.84665E-04 5.30938E-02 5.37785E-02 9.61751E-04 0.271225 1 4 87.5 45.0 135.0 1.64983E-01 6.37990E-04 4.84916E-02 4.91296E-02 8.96187E-04 0.293918 1 7 87.5 90.0 90.0 1.36399E-01 7.37923E-04 4.30968E-02 4.38347E-02 1.03656E-03 0.315961 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 585.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.624E-03 3.007E-02 1.248E-01 9.012E-02 8.401E-01 2.282E-03 3.717E+01 9.383E-04 1.318E-03 1 0.00 0.00 1.740E-03 5.427E-02 3.923E-03 4.623E-03 2.287E-02 2.636E-03 4.815E+00 3 1.97 5.00 1.038E-03 4.548E-02 2.490E-03 3.592E-03 1.440E-02 3.611E-03 5.449E+00 5 5.26 10.00 5.016E-04 3.471E-02 1.779E-03 2.947E-03 9.827E-03 4.455E-03 6.417E+00 7 9.78 15.00 1.710E-04 1.971E-02 8.258E-04 1.343E-03 3.083E-03 4.222E-03 6.564E+00 9 13.82 20.00 5.601E-05 9.250E-03 2.927E-04 4.305E-04 7.546E-04 3.665E-03 5.856E+00 11 16.81 25.00 2.264E-05 4.324E-03 1.096E-04 1.477E-04 2.212E-04 3.599E-03 5.252E+00 13 19.31 30.00 1.049E-05 2.046E-03 4.485E-05 5.647E-05 7.612E-05 3.853E-03 4.791E+00 15 21.55 35.00 5.311E-06 9.759E-04 1.991E-05 2.374E-05 2.964E-05 4.373E-03 4.373E+00 17 23.43 40.00 3.020E-06 4.793E-04 8.232E-06 9.293E-06 1.083E-05 5.386E-03 3.887E+00 19 25.02 45.00 1.946E-06 2.416E-04 4.385E-06 4.775E-06 5.310E-06 7.271E-03 3.648E+00 21 26.40 50.00 1.355E-06 1.246E-04 2.263E-06 2.368E-06 2.508E-06 1.033E-02 3.414E+00 Waveband 19 of 30 completed in 8.1 sec. * * * * * Output for wavelength band 20 (590.0 to 600.0 nm; nominal wavelength = 595.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 119.5 m at 595.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 590.0 nm to 600.0 nm: Ed(diffuse) = 2.715E-01 Ed(direct) = 4.097E-01 Ed(total) = 6.812E-01 Absorption Coefficients of Individual Components at 595.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1672 0.0050 0.0000 0.0008 0.1730 3 2.253 5.000 0.1672 0.0066 0.0000 0.0009 0.1747 5 5.815 10.000 0.1672 0.0159 0.0000 0.0019 0.1850 7 10.623 15.000 0.1672 0.0177 0.0000 0.0021 0.1870 9 14.937 20.000 0.1672 0.0115 0.0000 0.0015 0.1801 11 18.206 25.000 0.1672 0.0088 0.0000 0.0012 0.1771 13 20.987 30.000 0.1672 0.0073 0.0000 0.0010 0.1755 15 23.510 35.000 0.1672 0.0066 0.0000 0.0009 0.1747 17 25.668 40.000 0.1672 0.0042 0.0000 0.0007 0.1720 19 27.538 45.000 0.1672 0.0042 0.0000 0.0007 0.1720 21 29.198 50.000 0.1672 0.0024 0.0000 0.0004 0.1700 Scattering Coefficients of Individual Components at 595.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0014 0.1175 0.1214 0.0000 0.2403 3 2.253 5.000 0.0014 0.1432 0.1677 0.0000 0.3123 5 5.815 10.000 0.0014 0.2634 0.4710 0.0000 0.7357 7 10.623 15.000 0.0014 0.2816 0.5318 0.0000 0.8148 9 14.937 20.000 0.0014 0.2120 0.3230 0.0000 0.5364 11 18.206 25.000 0.0014 0.1758 0.2354 0.0000 0.4125 13 20.987 30.000 0.0014 0.1547 0.1905 0.0000 0.3466 15 23.510 35.000 0.0014 0.1432 0.1677 0.0000 0.3123 17 25.668 40.000 0.0014 0.1028 0.0978 0.0000 0.2020 19 27.538 45.000 0.0014 0.1028 0.0978 0.0000 0.2020 21 29.198 50.000 0.0014 0.0673 0.0493 0.0000 0.1179 Backscattering Coefficients of Individual Components at 595.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00068 0.00165 0.00021 0.00000 0.00254 3 2.253 5.000 0.00068 0.00201 0.00030 0.00000 0.00298 5 5.815 10.000 0.00068 0.00369 0.00083 0.00000 0.00520 7 10.623 15.000 0.00068 0.00395 0.00094 0.00000 0.00557 9 14.937 20.000 0.00068 0.00297 0.00057 0.00000 0.00422 11 18.206 25.000 0.00068 0.00246 0.00041 0.00000 0.00356 13 20.987 30.000 0.00068 0.00217 0.00034 0.00000 0.00319 15 23.510 35.000 0.00068 0.00201 0.00030 0.00000 0.00298 17 25.668 40.000 0.00068 0.00144 0.00017 0.00000 0.00230 19 27.538 45.000 0.00068 0.00144 0.00017 0.00000 0.00230 21 29.198 50.000 0.00068 0.00094 0.00009 0.00000 0.00171 Summary of Inherent Optical Properties at 595.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1730 0.2403 0.4132 0.5814 0.00254 0.01058 3 2.253 5.000 0.1747 0.3123 0.4870 0.6413 0.00298 0.00956 5 5.815 10.000 0.1850 0.7357 0.9207 0.7991 0.00520 0.00707 7 10.623 15.000 0.1870 0.8148 1.0018 0.8133 0.00557 0.00683 9 14.937 20.000 0.1801 0.5364 0.7166 0.7486 0.00422 0.00787 11 18.206 25.000 0.1771 0.4125 0.5896 0.6996 0.00356 0.00863 13 20.987 30.000 0.1755 0.3466 0.5221 0.6638 0.00319 0.00919 15 23.510 35.000 0.1747 0.3123 0.4870 0.6413 0.00298 0.00956 17 25.668 40.000 0.1720 0.2020 0.3740 0.5400 0.00230 0.01136 19 27.538 45.000 0.1720 0.2020 0.3740 0.5400 0.00230 0.01136 21 29.198 50.000 0.1700 0.1179 0.2880 0.4096 0.00171 0.01451 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.2789E-01 8 20.00 5.0490E-01 7 30.00 2.4067E-01 6 40.00 9.7954E-02 5 50.00 3.7493E-02 4 60.00 1.4773E-02 3 70.00 6.4009E-03 2 80.00 3.1616E-03 1 87.50 2.0214E-03 1 92.50 1.5516E-03 2 100.00 1.1363E-03 3 110.00 8.3218E-04 4 120.00 6.7405E-04 5 130.00 5.9080E-04 6 140.00 5.4665E-04 7 150.00 5.2349E-04 8 160.00 5.1177E-04 9 170.00 5.0631E-04 10 180.00 5.0414E-04 Asymptotic AOP values are MUu(inf) = 0.3977 MUd(inf) = 0.8789 MU(inf) = 0.8687 R(inf) = 0.0037 Lu(inf)/Ed(inf) = 0.000914 (1/sr) k(inf) = 0.1957 (1/m) absorp(check) = 0.1700 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 595.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.3894E-01 1.5508E+00 1.7897E+00 5.6471E-02 6.8119E-01 0.2363 0.4393 0.3491 8.2901E-02 1 0.00 0.00 1.3008E-02 8.3493E-01 8.4794E-01 4.8552E-03 6.2957E-01 0.3733 0.7540 0.7367 7.7119E-03 3 2.25 5.00 6.3054E-03 2.5878E-01 2.6509E-01 2.2815E-03 1.8797E-01 0.3618 0.7264 0.7005 1.2138E-02 5 5.82 10.00 2.9764E-03 7.1807E-02 7.4783E-02 9.9259E-04 5.1042E-02 0.3335 0.7108 0.6693 1.9447E-02 7 10.62 15.00 8.0345E-04 1.8003E-02 1.8806E-02 2.6826E-04 1.2965E-02 0.3339 0.7202 0.6751 2.0692E-02 9 14.94 20.00 1.8592E-04 4.7183E-03 4.9042E-03 6.7821E-05 3.5044E-03 0.3648 0.7427 0.7007 1.9353E-02 11 18.21 25.00 6.2657E-05 1.3784E-03 1.4411E-03 2.5476E-05 1.0488E-03 0.4066 0.7608 0.7101 2.4292E-02 13 20.99 30.00 2.8779E-05 4.3751E-04 4.6629E-04 1.2688E-05 3.3607E-04 0.4409 0.7681 0.6935 3.7754E-02 15 23.51 35.00 1.6132E-05 1.5000E-04 1.6613E-04 7.4613E-06 1.1434E-04 0.4625 0.7623 0.6433 6.5256E-02 17 25.67 40.00 1.0216E-05 5.6580E-05 6.6796E-05 4.8952E-06 4.2183E-05 0.4792 0.7455 0.5582 1.1605E-01 19 27.54 45.00 7.2456E-06 2.4547E-05 3.1792E-05 3.5115E-06 1.7397E-05 0.4846 0.7087 0.4368 2.0184E-01 21 29.20 50.00 5.3276E-06 1.2402E-05 1.7730E-05 2.6138E-06 8.2228E-06 0.4906 0.6630 0.3164 3.1787E-01 K-functions (units of 1/meter) at 595.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.13930 0.21985 0.21861 0.15456 0.23386 0.23447 0.17778 5.000 5.010 5.005 0.07869 0.24469 0.24074 0.09862 0.24677 0.24860 0.13951 10.000 10.010 10.005 0.23959 0.27183 0.27054 0.24478 0.27365 0.27422 0.24569 15.000 15.010 15.005 0.30180 0.27687 0.27793 0.29611 0.27316 0.27268 0.26666 20.000 20.010 20.005 0.24788 0.25619 0.25588 0.22556 0.24924 0.24971 0.18966 25.000 25.010 25.005 0.17965 0.23738 0.23487 0.16036 0.23365 0.23547 0.13611 30.000 30.010 30.005 0.12983 0.22208 0.21638 0.11768 0.22156 0.22564 0.10407 35.000 35.010 35.005 0.10410 0.20590 0.19601 0.09560 0.20929 0.21723 0.08537 40.000 40.010 40.005 0.07234 0.18267 0.16579 0.06924 0.18852 0.20419 0.06587 45.000 45.010 45.005 0.06619 0.15209 0.13251 0.06384 0.16507 0.19069 0.06009 50.000 50.010 50.005 0.05151 0.12115 0.10022 0.05081 0.13442 0.17341 0.04996 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 595.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 2.85276E-02 5.42214E-04 6.50771E-04 1.19298E-03 7.95983E-04 0.022812 9 1 10.0 0.0 180.0 2.52364E-02 5.55030E-04 5.59338E-04 1.11437E-03 8.14797E-04 0.022164 9 4 10.0 45.0 135.0 2.60002E-02 5.50957E-04 5.78502E-04 1.12946E-03 8.08819E-04 0.022250 9 7 10.0 90.0 90.0 2.86333E-02 5.47274E-04 6.50547E-04 1.19782E-03 8.03411E-04 0.022720 8 1 20.0 0.0 180.0 2.46588E-02 5.65548E-04 5.47688E-04 1.11324E-03 8.30238E-04 0.022211 8 4 20.0 45.0 135.0 2.54405E-02 5.56201E-04 5.66141E-04 1.12234E-03 8.16516E-04 0.022254 8 7 20.0 90.0 90.0 2.92412E-02 5.51001E-04 6.61822E-04 1.21282E-03 8.08883E-04 0.022633 7 1 30.0 0.0 180.0 2.58765E-02 5.79733E-04 6.10903E-04 1.19064E-03 8.51062E-04 0.023608 7 4 30.0 45.0 135.0 2.62643E-02 5.72902E-04 6.18015E-04 1.19092E-03 8.41034E-04 0.023531 7 7 30.0 90.0 90.0 3.04879E-02 5.63047E-04 7.22333E-04 1.28538E-03 8.26566E-04 0.023692 6 1 40.0 0.0 180.0 2.93207E-02 5.93939E-04 8.34182E-04 1.42812E-03 8.71917E-04 0.028450 6 4 40.0 45.0 135.0 2.88477E-02 5.83234E-04 8.10787E-04 1.39402E-03 8.56201E-04 0.028106 6 7 40.0 90.0 90.0 3.27588E-02 5.72749E-04 9.15665E-04 1.48841E-03 8.40809E-04 0.027952 5 1 50.0 0.0 180.0 3.59364E-02 6.09948E-04 1.55442E-03 2.16436E-03 8.95419E-04 0.043255 5 4 50.0 45.0 135.0 3.39758E-02 5.93400E-04 1.44859E-03 2.04199E-03 8.71125E-04 0.042636 5 7 50.0 90.0 90.0 3.67464E-02 5.84203E-04 1.51765E-03 2.10185E-03 8.57624E-04 0.041301 4 1 60.0 0.0 180.0 4.77988E-02 6.09155E-04 3.97743E-03 4.58658E-03 8.94254E-04 0.083212 4 4 60.0 45.0 135.0 4.33926E-02 5.89673E-04 3.54440E-03 4.13407E-03 8.65654E-04 0.081682 4 7 60.0 90.0 90.0 4.37857E-02 5.88956E-04 3.45745E-03 4.04641E-03 8.64602E-04 0.078963 3 1 70.0 0.0 180.0 7.00766E-02 5.72530E-04 1.13566E-02 1.19292E-02 8.40488E-04 0.162060 3 4 70.0 45.0 135.0 6.13900E-02 5.58537E-04 9.96398E-03 1.05225E-02 8.19946E-04 0.162306 3 7 70.0 90.0 90.0 5.74901E-02 5.60690E-04 9.26327E-03 9.82396E-03 8.23106E-04 0.161128 2 1 80.0 0.0 180.0 1.18664E-01 4.96026E-04 2.84837E-02 2.89797E-02 7.28177E-04 0.240037 2 4 80.0 45.0 135.0 1.01279E-01 4.81560E-04 2.52684E-02 2.57499E-02 7.06941E-04 0.249493 2 7 80.0 90.0 90.0 8.79951E-02 4.86134E-04 2.29104E-02 2.33965E-02 7.13657E-04 0.260360 1 1 87.5 0.0 180.0 1.85701E-01 4.03843E-04 5.03669E-02 5.07707E-02 5.92850E-04 0.271225 1 4 87.5 45.0 135.0 1.56510E-01 3.72451E-04 4.60010E-02 4.63735E-02 5.46766E-04 0.293918 1 7 87.5 90.0 90.0 1.29394E-01 4.19016E-04 4.08833E-02 4.13023E-02 6.15126E-04 0.315961 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 595.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.193E-03 2.853E-02 1.182E-01 8.535E-02 8.023E-01 1.751E-03 4.734E+01 5.422E-04 7.960E-04 1 0.00 0.00 1.005E-03 5.147E-02 2.498E-03 2.901E-03 1.797E-02 1.597E-03 4.829E+00 3 2.25 5.00 4.376E-04 3.192E-02 1.089E-03 1.563E-03 6.366E-03 2.328E-03 5.214E+00 5 5.82 10.00 1.668E-04 1.757E-02 5.823E-04 9.441E-04 3.113E-03 3.267E-03 5.952E+00 7 10.62 15.00 4.709E-05 7.136E-03 1.989E-04 3.088E-04 6.793E-04 3.632E-03 5.697E+00 9 14.94 20.00 1.455E-05 2.419E-03 5.259E-05 7.162E-05 1.159E-04 4.153E-03 4.661E+00 11 18.21 25.00 6.413E-06 8.271E-04 1.670E-05 2.020E-05 2.682E-05 6.114E-03 3.973E+00 13 20.99 30.00 3.519E-06 2.887E-04 6.780E-06 7.510E-06 8.713E-06 1.047E-02 3.606E+00 15 23.51 35.00 2.190E-06 1.028E-04 3.415E-06 3.583E-06 3.835E-06 1.916E-02 3.406E+00 17 25.67 40.00 1.495E-06 3.847E-05 1.941E-06 1.972E-06 2.016E-06 3.545E-02 3.274E+00 19 27.54 45.00 1.090E-06 1.528E-05 1.322E-06 1.331E-06 1.342E-06 6.267E-02 3.221E+00 21 29.20 50.00 8.248E-07 6.545E-06 9.314E-07 9.329E-07 9.349E-07 1.003E-01 3.169E+00 Waveband 20 of 30 completed in 9.0 sec. * * * * * Output for wavelength band 21 (600.0 to 610.0 nm; nominal wavelength = 605.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 103.0 m at 605.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 600.0 nm to 610.0 nm: Ed(diffuse) = 2.807E-01 Ed(direct) = 4.292E-01 Ed(total) = 7.099E-01 Absorption Coefficients of Individual Components at 605.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2577 0.0048 0.0000 0.0007 0.2631 3 2.697 5.000 0.2577 0.0063 0.0000 0.0008 0.2648 5 6.705 10.000 0.2577 0.0154 0.0000 0.0017 0.2747 7 11.961 15.000 0.2577 0.0171 0.0000 0.0018 0.2766 9 16.722 20.000 0.2577 0.0110 0.0000 0.0013 0.2700 11 20.436 25.000 0.2577 0.0084 0.0000 0.0010 0.2671 13 23.661 30.000 0.2577 0.0070 0.0000 0.0009 0.2656 15 26.628 35.000 0.2577 0.0063 0.0000 0.0008 0.2648 17 29.231 40.000 0.2577 0.0040 0.0000 0.0006 0.2623 19 31.546 45.000 0.2577 0.0040 0.0000 0.0006 0.2623 21 33.651 50.000 0.2577 0.0023 0.0000 0.0004 0.2603 Scattering Coefficients of Individual Components at 605.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0013 0.1169 0.1208 0.0000 0.2390 3 2.697 5.000 0.0013 0.1427 0.1671 0.0000 0.3110 5 6.705 10.000 0.0013 0.2634 0.4710 0.0000 0.7356 7 11.961 15.000 0.0013 0.2816 0.5318 0.0000 0.8147 9 16.722 20.000 0.0013 0.2118 0.3226 0.0000 0.5356 11 20.436 25.000 0.0013 0.1753 0.2348 0.0000 0.4114 13 23.661 30.000 0.0013 0.1542 0.1899 0.0000 0.3453 15 26.628 35.000 0.0013 0.1427 0.1671 0.0000 0.3110 17 29.231 40.000 0.0013 0.1022 0.0972 0.0000 0.2007 19 31.546 45.000 0.0013 0.1022 0.0972 0.0000 0.2007 21 33.651 50.000 0.0013 0.0667 0.0489 0.0000 0.1169 Backscattering Coefficients of Individual Components at 605.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00063 0.00164 0.00021 0.00000 0.00249 3 2.697 5.000 0.00063 0.00200 0.00029 0.00000 0.00293 5 6.705 10.000 0.00063 0.00369 0.00083 0.00000 0.00516 7 11.961 15.000 0.00063 0.00395 0.00094 0.00000 0.00552 9 16.722 20.000 0.00063 0.00297 0.00057 0.00000 0.00417 11 20.436 25.000 0.00063 0.00246 0.00041 0.00000 0.00351 13 23.661 30.000 0.00063 0.00216 0.00033 0.00000 0.00313 15 26.628 35.000 0.00063 0.00200 0.00029 0.00000 0.00293 17 29.231 40.000 0.00063 0.00143 0.00017 0.00000 0.00224 19 31.546 45.000 0.00063 0.00143 0.00017 0.00000 0.00224 21 33.651 50.000 0.00063 0.00094 0.00009 0.00000 0.00166 Summary of Inherent Optical Properties at 605.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2631 0.2390 0.5021 0.4759 0.00249 0.01040 3 2.697 5.000 0.2648 0.3110 0.5758 0.5401 0.00293 0.00942 5 6.705 10.000 0.2747 0.7356 1.0103 0.7281 0.00516 0.00701 7 11.961 15.000 0.2766 0.8147 1.0913 0.7465 0.00552 0.00677 9 16.722 20.000 0.2700 0.5356 0.8057 0.6648 0.00417 0.00779 11 20.436 25.000 0.2671 0.4114 0.6785 0.6063 0.00351 0.00852 13 23.661 30.000 0.2656 0.3453 0.6109 0.5653 0.00313 0.00906 15 26.628 35.000 0.2648 0.3110 0.5758 0.5401 0.00293 0.00942 17 29.231 40.000 0.2623 0.2007 0.4630 0.4335 0.00224 0.01115 19 31.546 45.000 0.2623 0.2007 0.4630 0.4335 0.00224 0.01115 21 33.651 50.000 0.2603 0.1169 0.3772 0.3098 0.00166 0.01416 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 7.7807E-01 8 20.00 4.0814E-01 7 30.00 1.6060E-01 6 40.00 5.4377E-02 5 50.00 1.8124E-02 4 60.00 6.6206E-03 3 70.00 2.8031E-03 2 80.00 1.3899E-03 1 87.50 8.9757E-04 1 92.50 6.9678E-04 2 100.00 5.1663E-04 3 110.00 3.8457E-04 4 120.00 3.1681E-04 5 130.00 2.8170E-04 6 140.00 2.6353E-04 7 150.00 2.5433E-04 8 160.00 2.4992E-04 9 170.00 2.4797E-04 10 180.00 2.4712E-04 Asymptotic AOP values are MUu(inf) = 0.4057 MUd(inf) = 0.9038 MU(inf) = 0.8974 R(inf) = 0.0022 Lu(inf)/Ed(inf) = 0.000573 (1/sr) k(inf) = 0.2901 (1/m) absorp(check) = 0.2604 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 605.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.4703E-01 1.6146E+00 1.8617E+00 5.8032E-02 7.0989E-01 0.2349 0.4397 0.3501 8.1748E-02 1 0.00 0.00 8.4474E-03 8.6609E-01 8.7453E-01 3.0761E-03 6.5494E-01 0.3642 0.7562 0.7454 4.6969E-03 3 2.70 5.00 2.2374E-03 1.4609E-01 1.4833E-01 8.1470E-04 1.0835E-01 0.3641 0.7416 0.7249 7.5194E-03 5 6.71 10.00 6.9405E-04 2.2737E-02 2.3431E-02 2.4581E-04 1.6772E-02 0.3542 0.7376 0.7053 1.4656E-02 7 11.96 15.00 1.5311E-04 3.3756E-03 3.5287E-03 5.9829E-05 2.5269E-03 0.3908 0.7486 0.6991 2.3677E-02 9 16.72 20.00 4.4839E-05 5.6050E-04 6.0534E-04 2.0184E-05 4.2519E-04 0.4501 0.7586 0.6691 4.7470E-02 11 20.44 25.00 2.2146E-05 1.1808E-04 1.4023E-04 1.0554E-05 8.7062E-05 0.4766 0.7373 0.5456 1.2123E-01 13 23.66 30.00 1.3319E-05 3.4757E-05 4.8077E-05 6.4613E-06 2.3376E-05 0.4851 0.6725 0.3518 2.7641E-01 15 26.63 35.00 8.6160E-06 1.4946E-05 2.3562E-05 4.2100E-06 8.9932E-06 0.4886 0.6017 0.2030 4.6813E-01 17 29.23 40.00 5.8171E-06 8.4011E-06 1.4218E-05 2.8671E-06 4.7257E-06 0.4929 0.5625 0.1307 6.0671E-01 19 31.55 45.00 4.1686E-06 5.5362E-06 9.7048E-06 2.0594E-06 3.0097E-06 0.4940 0.5436 0.0979 6.8425E-01 21 33.65 50.00 3.0313E-06 3.8802E-06 6.9115E-06 1.5085E-06 2.0884E-06 0.4976 0.5382 0.0839 7.2230E-01 K-functions (units of 1/meter) at 605.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.26785 0.34127 0.34056 0.27421 0.35241 0.35278 0.29175 5.000 5.010 5.005 0.16967 0.36414 0.36120 0.18250 0.36261 0.36398 0.20864 10.000 10.010 10.005 0.31344 0.38248 0.38044 0.30297 0.38223 0.38341 0.27695 15.000 15.010 15.005 0.29813 0.37533 0.37198 0.27000 0.37318 0.37568 0.22506 20.000 20.010 20.005 0.17159 0.33862 0.32624 0.15295 0.33759 0.34680 0.13379 25.000 25.010 25.005 0.11115 0.28254 0.25545 0.10565 0.29411 0.32014 0.09981 30.000 30.010 30.005 0.09037 0.20629 0.17416 0.08863 0.22873 0.28230 0.08623 35.000 35.010 35.005 0.08216 0.13750 0.11726 0.08100 0.15625 0.22253 0.07835 40.000 40.010 40.005 0.06724 0.09947 0.08628 0.06671 0.10776 0.17112 0.06574 45.000 45.010 45.005 0.06625 0.07468 0.07106 0.06547 0.07869 0.10735 0.06323 50.000 50.010 50.005 0.05409 0.06901 0.06246 0.05374 0.06964 0.11100 0.05314 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 605.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 2.94955E-02 3.41705E-04 6.72850E-04 1.01456E-03 4.81350E-04 0.022812 9 1 10.0 0.0 180.0 2.60926E-02 3.51577E-04 5.78315E-04 9.29892E-04 4.95257E-04 0.022164 9 4 10.0 45.0 135.0 2.68823E-02 3.48450E-04 5.98129E-04 9.46579E-04 4.90852E-04 0.022250 9 7 10.0 90.0 90.0 2.96048E-02 3.44703E-04 6.72618E-04 1.01732E-03 4.85573E-04 0.022720 8 1 20.0 0.0 180.0 2.54954E-02 3.59106E-04 5.66270E-04 9.25376E-04 5.05862E-04 0.022211 8 4 20.0 45.0 135.0 2.63036E-02 3.52267E-04 5.85349E-04 9.37616E-04 4.96228E-04 0.022254 8 7 20.0 90.0 90.0 3.02332E-02 3.46629E-04 6.84276E-04 1.03091E-03 4.88287E-04 0.022633 7 1 30.0 0.0 180.0 2.67544E-02 3.68787E-04 6.31630E-04 1.00042E-03 5.19499E-04 0.023608 7 4 30.0 45.0 135.0 2.71554E-02 3.63186E-04 6.38983E-04 1.00217E-03 5.11609E-04 0.023531 7 7 30.0 90.0 90.0 3.15223E-02 3.53663E-04 7.46840E-04 1.10050E-03 4.98195E-04 0.023692 6 1 40.0 0.0 180.0 3.03155E-02 3.78408E-04 8.62483E-04 1.24089E-03 5.33052E-04 0.028450 6 4 40.0 45.0 135.0 2.98265E-02 3.69939E-04 8.38295E-04 1.20823E-03 5.21123E-04 0.028106 6 7 40.0 90.0 90.0 3.38703E-02 3.58892E-04 9.46731E-04 1.30562E-03 5.05561E-04 0.027952 5 1 50.0 0.0 180.0 3.71556E-02 3.88975E-04 1.60715E-03 1.99613E-03 5.47938E-04 0.043255 5 4 50.0 45.0 135.0 3.51285E-02 3.76479E-04 1.49774E-03 1.87422E-03 5.30335E-04 0.042636 5 7 50.0 90.0 90.0 3.79931E-02 3.65404E-04 1.56914E-03 1.93454E-03 5.14733E-04 0.041301 4 1 60.0 0.0 180.0 4.94205E-02 3.88805E-04 4.11237E-03 4.50118E-03 5.47698E-04 0.083212 4 4 60.0 45.0 135.0 4.48650E-02 3.74213E-04 3.66465E-03 4.03887E-03 5.27142E-04 0.081682 4 7 60.0 90.0 90.0 4.52703E-02 3.67830E-04 3.57475E-03 3.94258E-03 5.18151E-04 0.078964 3 1 70.0 0.0 180.0 7.24542E-02 3.65770E-04 1.17419E-02 1.21077E-02 5.15249E-04 0.162060 3 4 70.0 45.0 135.0 6.34728E-02 3.54660E-04 1.03020E-02 1.06567E-02 4.99600E-04 0.162306 3 7 70.0 90.0 90.0 5.94406E-02 3.49962E-04 9.57754E-03 9.92750E-03 4.92982E-04 0.161128 2 1 80.0 0.0 180.0 1.22690E-01 3.17221E-04 2.94501E-02 2.97673E-02 4.46859E-04 0.240037 2 4 80.0 45.0 135.0 1.04715E-01 3.06033E-04 2.61257E-02 2.64317E-02 4.31100E-04 0.249493 2 7 80.0 90.0 90.0 9.09806E-02 3.03457E-04 2.36877E-02 2.39911E-02 4.27471E-04 0.260360 1 1 87.5 0.0 180.0 1.92002E-01 2.58619E-04 5.20757E-02 5.23343E-02 3.64309E-04 0.271225 1 4 87.5 45.0 135.0 1.61820E-01 2.36996E-04 4.75617E-02 4.77987E-02 3.33849E-04 0.293918 1 7 87.5 90.0 90.0 1.33784E-01 2.61886E-04 4.22703E-02 4.25322E-02 3.68911E-04 0.315960 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 605.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 1.015E-03 2.950E-02 1.222E-01 8.816E-02 8.347E-01 1.429E-03 5.720E+01 3.417E-04 4.813E-04 1 0.00 0.00 6.337E-04 5.321E-02 1.733E-03 1.993E-03 1.588E-02 9.676E-04 4.854E+00 3 2.70 5.00 1.672E-04 2.051E-02 4.095E-04 5.802E-04 2.305E-03 1.543E-03 4.873E+00 5 6.71 10.00 4.903E-05 6.759E-03 1.429E-04 2.168E-04 6.538E-04 2.924E-03 5.013E+00 7 11.96 15.00 1.414E-05 1.632E-03 3.603E-05 4.844E-05 8.922E-05 5.594E-03 4.232E+00 9 16.72 20.00 5.719E-06 3.382E-04 9.635E-06 1.078E-05 1.335E-05 1.345E-02 3.529E+00 11 20.44 25.00 3.183E-06 7.419E-05 4.203E-06 4.320E-06 4.533E-06 3.655E-02 3.316E+00 13 23.66 30.00 1.992E-06 1.821E-05 2.394E-06 2.408E-06 2.430E-06 8.521E-02 3.244E+00 15 26.63 35.00 1.315E-06 5.509E-06 1.515E-06 1.517E-06 1.519E-06 1.462E-01 3.202E+00 17 29.23 40.00 9.093E-07 2.280E-06 9.963E-07 9.965E-07 9.967E-07 1.924E-01 3.153E+00 19 31.55 45.00 6.577E-07 1.250E-06 7.093E-07 7.093E-07 7.094E-07 2.185E-01 3.131E+00 21 33.65 50.00 4.881E-07 8.130E-07 5.050E-07 5.050E-07 5.050E-07 2.337E-01 3.091E+00 Waveband 21 of 30 completed in 10.7 sec. * * * * * Output for wavelength band 22 (610.0 to 620.0 nm; nominal wavelength = 615.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 101.8 m at 615.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 610.0 nm to 620.0 nm: Ed(diffuse) = 2.737E-01 Ed(direct) = 4.236E-01 Ed(total) = 6.973E-01 Absorption Coefficients of Individual Components at 615.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2678 0.0049 0.0000 0.0006 0.2733 3 2.742 5.000 0.2678 0.0065 0.0000 0.0007 0.2750 5 6.799 10.000 0.2678 0.0163 0.0000 0.0014 0.2855 7 12.108 15.000 0.2678 0.0182 0.0000 0.0016 0.2876 9 16.921 20.000 0.2678 0.0116 0.0000 0.0011 0.2805 11 20.683 25.000 0.2678 0.0088 0.0000 0.0009 0.2774 13 23.953 30.000 0.2678 0.0073 0.0000 0.0008 0.2758 15 26.965 35.000 0.2678 0.0065 0.0000 0.0007 0.2750 17 29.613 40.000 0.2678 0.0041 0.0000 0.0005 0.2724 19 31.972 45.000 0.2678 0.0041 0.0000 0.0005 0.2724 21 34.122 50.000 0.2678 0.0023 0.0000 0.0003 0.2704 Scattering Coefficients of Individual Components at 615.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0012 0.1163 0.1202 0.0000 0.2377 3 2.742 5.000 0.0012 0.1421 0.1665 0.0000 0.3098 5 6.799 10.000 0.0012 0.2634 0.4710 0.0000 0.7355 7 12.108 15.000 0.0012 0.2816 0.5318 0.0000 0.8146 9 16.921 20.000 0.0012 0.2115 0.3222 0.0000 0.5349 11 20.683 25.000 0.0012 0.1749 0.2342 0.0000 0.4103 13 23.953 30.000 0.0012 0.1537 0.1892 0.0000 0.3441 15 26.965 35.000 0.0012 0.1421 0.1665 0.0000 0.3098 17 29.613 40.000 0.0012 0.1016 0.0967 0.0000 0.1995 19 31.972 45.000 0.0012 0.1016 0.0967 0.0000 0.1995 21 34.122 50.000 0.0012 0.0662 0.0485 0.0000 0.1159 Backscattering Coefficients of Individual Components at 615.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00059 0.00163 0.00021 0.00000 0.00243 3 2.742 5.000 0.00059 0.00199 0.00029 0.00000 0.00288 5 6.799 10.000 0.00059 0.00369 0.00083 0.00000 0.00511 7 12.108 15.000 0.00059 0.00395 0.00094 0.00000 0.00548 9 16.921 20.000 0.00059 0.00297 0.00057 0.00000 0.00412 11 20.683 25.000 0.00059 0.00245 0.00041 0.00000 0.00345 13 23.953 30.000 0.00059 0.00216 0.00033 0.00000 0.00308 15 26.965 35.000 0.00059 0.00199 0.00029 0.00000 0.00288 17 29.613 40.000 0.00059 0.00143 0.00017 0.00000 0.00219 19 31.972 45.000 0.00059 0.00143 0.00017 0.00000 0.00219 21 34.122 50.000 0.00059 0.00093 0.00009 0.00000 0.00160 Summary of Inherent Optical Properties at 615.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2733 0.2377 0.5110 0.4652 0.00243 0.01024 3 2.742 5.000 0.2750 0.3098 0.5848 0.5297 0.00288 0.00929 5 6.799 10.000 0.2855 0.7355 1.0211 0.7204 0.00511 0.00695 7 12.108 15.000 0.2876 0.8146 1.1022 0.7391 0.00548 0.00672 9 16.921 20.000 0.2805 0.5349 0.8154 0.6560 0.00412 0.00771 11 20.683 25.000 0.2774 0.4103 0.6877 0.5966 0.00345 0.00842 13 23.953 30.000 0.2758 0.3441 0.6200 0.5551 0.00308 0.00895 15 26.965 35.000 0.2750 0.3098 0.5848 0.5297 0.00288 0.00929 17 29.613 40.000 0.2724 0.1995 0.4719 0.4228 0.00219 0.01096 19 31.972 45.000 0.2724 0.1995 0.4719 0.4228 0.00219 0.01096 21 34.122 50.000 0.2704 0.1159 0.3863 0.2999 0.00160 0.01384 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 7.7199E-01 8 20.00 3.9752E-01 7 30.00 1.5294E-01 6 40.00 5.0737E-02 5 50.00 1.6671E-02 4 60.00 6.0450E-03 3 70.00 2.5525E-03 2 80.00 1.2640E-03 1 87.50 8.1537E-04 1 92.50 6.3261E-04 2 100.00 4.6849E-04 3 110.00 3.4821E-04 4 120.00 2.8657E-04 5 130.00 2.5464E-04 6 140.00 2.3809E-04 7 150.00 2.2971E-04 8 160.00 2.2568E-04 9 170.00 2.2389E-04 10 180.00 2.2311E-04 Asymptotic AOP values are MUu(inf) = 0.4051 MUd(inf) = 0.9062 MU(inf) = 0.9002 R(inf) = 0.0021 Lu(inf)/Ed(inf) = 0.000531 (1/sr) k(inf) = 0.3004 (1/m) absorp(check) = 0.2704 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 615.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.4208E-01 1.5847E+00 1.8267E+00 5.6884E-02 6.9732E-01 0.2350 0.4400 0.3506 8.1575E-02 1 0.00 0.00 7.8319E-03 8.5049E-01 8.5832E-01 2.8374E-03 6.4328E-01 0.3623 0.7564 0.7462 4.4108E-03 3 2.74 5.00 1.9355E-03 1.3408E-01 1.3602E-01 7.0264E-04 9.9642E-02 0.3630 0.7431 0.7274 7.0517E-03 5 6.80 10.00 5.6974E-04 1.9527E-02 2.0097E-02 2.0199E-04 1.4457E-02 0.3545 0.7404 0.7093 1.3971E-02 7 12.11 15.00 1.2167E-04 2.7203E-03 2.8420E-03 4.7941E-05 2.0447E-03 0.3940 0.7516 0.7026 2.3446E-02 9 16.92 20.00 3.5657E-05 4.2786E-04 4.6352E-04 1.6160E-05 3.2525E-04 0.4532 0.7602 0.6668 4.9686E-02 11 20.68 25.00 1.7509E-05 8.7090E-05 1.0460E-04 8.3645E-06 6.3943E-05 0.4777 0.7342 0.5314 1.3081E-01 13 23.95 30.00 1.0353E-05 2.5498E-05 3.5850E-05 5.0251E-06 1.6940E-05 0.4854 0.6644 0.3323 2.9664E-01 15 26.97 35.00 6.5478E-06 1.1056E-05 1.7603E-05 3.1981E-06 6.5757E-06 0.4884 0.5948 0.1919 4.8635E-01 17 29.61 40.00 4.2982E-06 6.1852E-06 1.0483E-05 2.1173E-06 3.4628E-06 0.4926 0.5599 0.1283 6.1145E-01 19 31.97 45.00 2.9969E-06 4.0087E-06 7.0056E-06 1.4790E-06 2.1786E-06 0.4935 0.5435 0.0999 6.7885E-01 21 34.12 50.00 2.1097E-06 2.7366E-06 4.8462E-06 1.0492E-06 1.4766E-06 0.4973 0.5396 0.0882 7.1053E-01 K-functions (units of 1/meter) at 615.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.28308 0.35494 0.35429 0.28788 0.36567 0.36601 0.30516 5.000 5.010 5.005 0.17958 0.37738 0.37456 0.19194 0.37551 0.37682 0.21726 10.000 10.010 10.005 0.32364 0.39575 0.39371 0.31184 0.39524 0.39642 0.28371 15.000 15.010 15.005 0.30037 0.38743 0.38370 0.27121 0.38541 0.38815 0.22622 20.000 20.010 20.005 0.17130 0.34790 0.33430 0.15371 0.34761 0.35775 0.13585 25.000 25.010 25.005 0.11367 0.28666 0.25768 0.10877 0.29992 0.32872 0.10348 30.000 30.010 30.005 0.09435 0.20504 0.17306 0.09285 0.22847 0.28572 0.09071 35.000 35.010 35.005 0.08754 0.13647 0.11827 0.08648 0.15414 0.21826 0.08391 40.000 40.010 40.005 0.07245 0.10222 0.09002 0.07197 0.10925 0.16793 0.07110 45.000 45.010 45.005 0.07265 0.07869 0.07610 0.07190 0.08208 0.10361 0.06960 50.000 50.010 50.005 0.05974 0.07510 0.06842 0.05936 0.07532 0.11450 0.05869 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 615.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 2.87571E-02 3.13120E-04 6.56007E-04 9.69126E-04 4.49032E-04 0.022812 9 1 10.0 0.0 180.0 2.54395E-02 3.22108E-04 5.63838E-04 8.85946E-04 4.61921E-04 0.022164 9 4 10.0 45.0 135.0 2.62094E-02 3.19264E-04 5.83156E-04 9.02420E-04 4.57842E-04 0.022250 9 7 10.0 90.0 90.0 2.88637E-02 3.15890E-04 6.55780E-04 9.71670E-04 4.53004E-04 0.022720 8 1 20.0 0.0 180.0 2.48572E-02 3.29006E-04 5.52094E-04 8.81100E-04 4.71813E-04 0.022211 8 4 20.0 45.0 135.0 2.56451E-02 3.22770E-04 5.70696E-04 8.93466E-04 4.62870E-04 0.022254 8 7 20.0 90.0 90.0 2.94764E-02 3.17703E-04 6.67146E-04 9.84849E-04 4.55603E-04 0.022633 7 1 30.0 0.0 180.0 2.60847E-02 3.37895E-04 6.15818E-04 9.53713E-04 4.84561E-04 0.023608 7 4 30.0 45.0 135.0 2.64756E-02 3.32801E-04 6.22987E-04 9.55788E-04 4.77255E-04 0.023531 7 7 30.0 90.0 90.0 3.07332E-02 3.24215E-04 7.28144E-04 1.05236E-03 4.64943E-04 0.023692 6 1 40.0 0.0 180.0 2.95566E-02 3.46769E-04 8.40893E-04 1.18766E-03 4.97286E-04 0.028450 6 4 40.0 45.0 135.0 2.90798E-02 3.39056E-04 8.17310E-04 1.15637E-03 4.86226E-04 0.028106 6 7 40.0 90.0 90.0 3.30224E-02 3.29132E-04 9.23031E-04 1.25216E-03 4.71994E-04 0.027952 5 1 50.0 0.0 180.0 3.62255E-02 3.56535E-04 1.56692E-03 1.92346E-03 5.11291E-04 0.043255 5 4 50.0 45.0 135.0 3.42491E-02 3.45137E-04 1.46024E-03 1.80538E-03 4.94945E-04 0.042636 5 7 50.0 90.0 90.0 3.70420E-02 3.35249E-04 1.52986E-03 1.86511E-03 4.80765E-04 0.041301 4 1 60.0 0.0 180.0 4.81834E-02 3.56469E-04 4.00943E-03 4.36589E-03 5.11197E-04 0.083212 4 4 60.0 45.0 135.0 4.37420E-02 3.43157E-04 3.57292E-03 3.91608E-03 4.92106E-04 0.081682 4 7 60.0 90.0 90.0 4.41362E-02 3.37636E-04 3.48526E-03 3.82289E-03 4.84188E-04 0.078966 3 1 70.0 0.0 180.0 7.06404E-02 3.35461E-04 1.14480E-02 1.17835E-02 4.81070E-04 0.162060 3 4 70.0 45.0 135.0 6.18839E-02 3.25354E-04 1.00441E-02 1.03695E-02 4.66577E-04 0.162306 3 7 70.0 90.0 90.0 5.79526E-02 3.21439E-04 9.33777E-03 9.65921E-03 4.60962E-04 0.161128 2 1 80.0 0.0 180.0 1.19618E-01 2.91034E-04 2.87129E-02 2.90039E-02 4.17359E-04 0.240037 2 4 80.0 45.0 135.0 1.02094E-01 2.80859E-04 2.54716E-02 2.57525E-02 4.02768E-04 0.249493 2 7 80.0 90.0 90.0 8.87030E-02 2.78899E-04 2.30947E-02 2.33736E-02 3.99956E-04 0.260359 1 1 87.5 0.0 180.0 1.87195E-01 2.37363E-04 5.07721E-02 5.10095E-02 3.40393E-04 0.271225 1 4 87.5 45.0 135.0 1.57769E-01 2.17598E-04 4.63711E-02 4.65887E-02 3.12048E-04 0.293918 1 7 87.5 90.0 90.0 1.30435E-01 2.40863E-04 4.12121E-02 4.14530E-02 3.45411E-04 0.315960 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 615.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 9.691E-04 2.876E-02 1.191E-01 8.594E-02 8.187E-01 1.390E-03 5.870E+01 3.131E-04 4.490E-04 1 0.00 0.00 5.807E-04 5.188E-02 1.613E-03 1.862E-03 1.538E-02 9.027E-04 4.886E+00 3 2.74 5.00 1.439E-04 1.898E-02 3.544E-04 5.046E-04 2.017E-03 1.444E-03 4.882E+00 5 6.80 10.00 4.050E-05 5.906E-03 1.175E-04 1.783E-04 5.374E-04 2.802E-03 4.987E+00 7 12.11 15.00 1.147E-05 1.342E-03 2.849E-05 3.801E-05 6.917E-05 5.611E-03 4.179E+00 9 16.92 20.00 4.612E-06 2.625E-04 7.563E-06 8.383E-06 1.021E-05 1.418E-02 3.504E+00 11 20.68 25.00 2.529E-06 5.480E-05 3.300E-06 3.379E-06 3.520E-06 3.955E-02 3.308E+00 13 23.95 30.00 1.550E-06 1.299E-05 1.858E-06 1.867E-06 1.880E-06 9.151E-02 3.242E+00 15 26.97 35.00 9.983E-07 3.895E-06 1.153E-06 1.154E-06 1.156E-06 1.518E-01 3.203E+00 17 29.61 40.00 6.712E-07 1.627E-06 7.379E-07 7.381E-07 7.382E-07 1.938E-01 3.155E+00 19 31.97 45.00 4.718E-07 8.950E-07 5.121E-07 5.121E-07 5.121E-07 2.166E-01 3.135E+00 21 34.12 50.00 3.394E-07 5.751E-07 3.527E-07 3.527E-07 3.527E-07 2.299E-01 3.091E+00 Waveband 22 of 30 completed in 10.7 sec. * * * * * Output for wavelength band 23 (620.0 to 630.0 nm; nominal wavelength = 625.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 99.9 m at 625.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 620.0 nm to 630.0 nm: Ed(diffuse) = 2.692E-01 Ed(direct) = 4.214E-01 Ed(total) = 6.906E-01 Absorption Coefficients of Individual Components at 625.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2834 0.0050 0.0000 0.0005 0.2889 3 2.814 5.000 0.2834 0.0067 0.0000 0.0006 0.2907 5 6.947 10.000 0.2834 0.0169 0.0000 0.0012 0.3016 7 12.337 15.000 0.2834 0.0190 0.0000 0.0014 0.3037 9 17.228 20.000 0.2834 0.0120 0.0000 0.0010 0.2964 11 21.064 25.000 0.2834 0.0090 0.0000 0.0008 0.2932 13 24.408 30.000 0.2834 0.0075 0.0000 0.0007 0.2916 15 27.493 35.000 0.2834 0.0067 0.0000 0.0006 0.2907 17 30.212 40.000 0.2834 0.0042 0.0000 0.0004 0.2880 19 32.644 45.000 0.2834 0.0042 0.0000 0.0004 0.2880 21 34.867 50.000 0.2834 0.0023 0.0000 0.0003 0.2860 Scattering Coefficients of Individual Components at 625.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0011 0.1158 0.1196 0.0000 0.2365 3 2.814 5.000 0.0011 0.1416 0.1658 0.0000 0.3086 5 6.947 10.000 0.0011 0.2634 0.4710 0.0000 0.7355 7 12.337 15.000 0.0011 0.2816 0.5318 0.0000 0.8146 9 17.228 20.000 0.0011 0.2112 0.3218 0.0000 0.5341 11 21.064 25.000 0.0011 0.1745 0.2336 0.0000 0.4092 13 24.408 30.000 0.0011 0.1532 0.1886 0.0000 0.3430 15 27.493 35.000 0.0011 0.1416 0.1658 0.0000 0.3086 17 30.212 40.000 0.0011 0.1011 0.0961 0.0000 0.1983 19 32.644 45.000 0.0011 0.1011 0.0961 0.0000 0.1983 21 34.867 50.000 0.0011 0.0656 0.0481 0.0000 0.1149 Backscattering Coefficients of Individual Components at 625.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00055 0.00162 0.00021 0.00000 0.00238 3 2.814 5.000 0.00055 0.00199 0.00029 0.00000 0.00283 5 6.947 10.000 0.00055 0.00369 0.00083 0.00000 0.00507 7 12.337 15.000 0.00055 0.00395 0.00094 0.00000 0.00544 9 17.228 20.000 0.00055 0.00296 0.00057 0.00000 0.00408 11 21.064 25.000 0.00055 0.00245 0.00041 0.00000 0.00341 13 24.408 30.000 0.00055 0.00215 0.00033 0.00000 0.00303 15 27.493 35.000 0.00055 0.00199 0.00029 0.00000 0.00283 17 30.212 40.000 0.00055 0.00142 0.00017 0.00000 0.00214 19 32.644 45.000 0.00055 0.00142 0.00017 0.00000 0.00214 21 34.867 50.000 0.00055 0.00092 0.00008 0.00000 0.00156 Summary of Inherent Optical Properties at 625.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2889 0.2365 0.5254 0.4501 0.00238 0.01008 3 2.814 5.000 0.2907 0.3086 0.5993 0.5149 0.00283 0.00917 5 6.947 10.000 0.3016 0.7355 1.0371 0.7092 0.00507 0.00690 7 12.337 15.000 0.3037 0.8146 1.1183 0.7284 0.00544 0.00667 9 17.228 20.000 0.2964 0.5341 0.8305 0.6431 0.00408 0.00764 11 21.064 25.000 0.2932 0.4092 0.7024 0.5825 0.00341 0.00833 13 24.408 30.000 0.2916 0.3430 0.6345 0.5405 0.00303 0.00884 15 27.493 35.000 0.2907 0.3086 0.5993 0.5149 0.00283 0.00917 17 30.212 40.000 0.2880 0.1983 0.4863 0.4078 0.00214 0.01078 19 32.644 45.000 0.2880 0.1983 0.4863 0.4078 0.00214 0.01078 21 34.867 50.000 0.2860 0.1149 0.4009 0.2865 0.00156 0.01354 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 7.6326E-01 8 20.00 3.8272E-01 7 30.00 1.4263E-01 6 40.00 4.6002E-02 5 50.00 1.4831E-02 4 60.00 5.3309E-03 3 70.00 2.2460E-03 2 80.00 1.1119E-03 1 87.50 7.1701E-04 1 92.50 5.5633E-04 2 100.00 4.1178E-04 3 110.00 3.0588E-04 4 120.00 2.5169E-04 5 130.00 2.2365E-04 6 140.00 2.0911E-04 7 150.00 2.0174E-04 8 160.00 1.9820E-04 9 170.00 1.9663E-04 10 180.00 1.9595E-04 Asymptotic AOP values are MUu(inf) = 0.4050 MUd(inf) = 0.9095 MU(inf) = 0.9040 R(inf) = 0.0019 Lu(inf)/Ed(inf) = 0.000485 (1/sr) k(inf) = 0.3164 (1/m) absorp(check) = 0.2860 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 625.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.3918E-01 1.5681E+00 1.8073E+00 5.6207E-02 6.9061E-01 0.2350 0.4404 0.3510 8.1387E-02 1 0.00 0.00 7.1912E-03 8.4194E-01 8.4913E-01 2.5908E-03 6.3700E-01 0.3603 0.7566 0.7471 4.0671E-03 3 2.81 5.00 1.6000E-03 1.1959E-01 1.2119E-01 5.7998E-04 8.9138E-02 0.3625 0.7454 0.7308 6.5065E-03 5 6.95 10.00 4.3796E-04 1.5762E-02 1.6200E-02 1.5640E-04 1.1731E-02 0.3571 0.7443 0.7145 1.3332E-02 7 12.34 15.00 9.1265E-05 2.0034E-03 2.0946E-03 3.6661E-05 1.5136E-03 0.4017 0.7555 0.7051 2.4222E-02 9 17.23 20.00 2.7528E-05 2.9273E-04 3.2025E-04 1.2637E-05 2.2253E-04 0.4590 0.7602 0.6554 5.6785E-02 11 21.06 25.00 1.3582E-05 5.7690E-05 7.1272E-05 6.5179E-06 4.1761E-05 0.4799 0.7239 0.4945 1.5607E-01 13 24.41 30.00 7.8972E-06 1.7314E-05 2.5212E-05 3.8393E-06 1.1181E-05 0.4862 0.6458 0.2912 3.4336E-01 15 27.49 35.00 4.8679E-06 7.7960E-06 1.2664E-05 2.3782E-06 4.5341E-06 0.4885 0.5816 0.1702 5.2450E-01 17 30.21 40.00 3.0900E-06 4.3871E-06 7.4771E-06 1.5221E-06 2.4338E-06 0.4926 0.5548 0.1219 6.2540E-01 19 32.64 45.00 2.0829E-06 2.7960E-06 4.8789E-06 1.0272E-06 1.5168E-06 0.4931 0.5425 0.1004 6.7720E-01 21 34.87 50.00 1.4071E-06 1.8485E-06 3.2555E-06 6.9946E-07 9.9965E-07 0.4971 0.5408 0.0922 6.9970E-01 K-functions (units of 1/meter) at 625.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.30666 0.37610 0.37551 0.30896 0.38621 0.38652 0.32551 5.000 5.010 5.005 0.19503 0.39772 0.39504 0.20638 0.39536 0.39660 0.22972 10.000 10.010 10.005 0.33565 0.41518 0.41303 0.32122 0.41437 0.41562 0.28941 15.000 15.010 15.005 0.29731 0.40450 0.39983 0.26698 0.40289 0.40626 0.22311 20.000 20.010 20.005 0.16700 0.35962 0.34305 0.15172 0.36110 0.37372 0.13640 25.000 25.010 25.005 0.11549 0.28725 0.25450 0.11157 0.30410 0.33975 0.10718 30.000 30.010 30.005 0.09874 0.19670 0.16601 0.09756 0.22110 0.28575 0.09579 35.000 35.010 35.005 0.09378 0.13150 0.11700 0.09287 0.14651 0.20571 0.09046 40.000 40.010 40.005 0.07884 0.10437 0.09382 0.07841 0.10924 0.16074 0.07768 45.000 45.010 45.005 0.08060 0.08329 0.08214 0.07991 0.08573 0.09793 0.07761 50.000 50.010 50.005 0.06706 0.08277 0.07598 0.06667 0.08240 0.11904 0.06597 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 625.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 2.82801E-02 2.84156E-04 6.45125E-04 9.29281E-04 4.11456E-04 0.022812 9 1 10.0 0.0 180.0 2.50175E-02 2.92306E-04 5.54485E-04 8.46791E-04 4.23258E-04 0.022164 9 4 10.0 45.0 135.0 2.57746E-02 2.89730E-04 5.73482E-04 8.63212E-04 4.19527E-04 0.022250 9 7 10.0 90.0 90.0 2.83849E-02 2.86685E-04 6.44902E-04 9.31587E-04 4.15119E-04 0.022720 8 1 20.0 0.0 180.0 2.44449E-02 2.98587E-04 5.42936E-04 8.41523E-04 4.32352E-04 0.022211 8 4 20.0 45.0 135.0 2.52197E-02 2.92932E-04 5.61229E-04 8.54161E-04 4.24163E-04 0.022254 8 7 20.0 90.0 90.0 2.89875E-02 2.88361E-04 6.56080E-04 9.44441E-04 4.17545E-04 0.022633 7 1 30.0 0.0 180.0 2.56520E-02 3.06688E-04 6.05603E-04 9.12291E-04 4.44083E-04 0.023608 7 4 30.0 45.0 135.0 2.60364E-02 3.02067E-04 6.12653E-04 9.14720E-04 4.37392E-04 0.023531 7 7 30.0 90.0 90.0 3.02234E-02 2.94316E-04 7.16065E-04 1.01038E-03 4.26167E-04 0.023692 6 1 40.0 0.0 180.0 2.90663E-02 3.14807E-04 8.26944E-04 1.14175E-03 4.55839E-04 0.028450 6 4 40.0 45.0 135.0 2.85974E-02 3.07807E-04 8.03752E-04 1.11156E-03 4.45703E-04 0.028106 6 7 40.0 90.0 90.0 3.24746E-02 2.98862E-04 9.07720E-04 1.20658E-03 4.32751E-04 0.027952 5 1 50.0 0.0 180.0 3.56246E-02 3.23750E-04 1.54093E-03 1.86468E-03 4.68789E-04 0.043255 5 4 50.0 45.0 135.0 3.36810E-02 3.13402E-04 1.43602E-03 1.74942E-03 4.53805E-04 0.042636 5 7 50.0 90.0 90.0 3.64275E-02 3.04521E-04 1.50448E-03 1.80900E-03 4.40944E-04 0.041301 4 1 60.0 0.0 180.0 4.73841E-02 3.23775E-04 3.94292E-03 4.26669E-03 4.68824E-04 0.083212 4 4 60.0 45.0 135.0 4.30165E-02 3.11688E-04 3.51365E-03 3.82534E-03 4.51323E-04 0.081681 4 7 60.0 90.0 90.0 4.34033E-02 3.06807E-04 3.42744E-03 3.73425E-03 4.44255E-04 0.078967 3 1 70.0 0.0 180.0 6.94686E-02 3.04793E-04 1.12581E-02 1.15629E-02 4.41338E-04 0.162060 3 4 70.0 45.0 135.0 6.08573E-02 2.95627E-04 9.87753E-03 1.01732E-02 4.28066E-04 0.162306 3 7 70.0 90.0 90.0 5.69913E-02 2.92247E-04 9.18287E-03 9.47511E-03 4.23173E-04 0.161128 2 1 80.0 0.0 180.0 1.17634E-01 2.64515E-04 2.82366E-02 2.85011E-02 3.83016E-04 0.240037 2 4 80.0 45.0 135.0 1.00400E-01 2.55295E-04 2.50491E-02 2.53044E-02 3.69666E-04 0.249493 2 7 80.0 90.0 90.0 8.72316E-02 2.53710E-04 2.27116E-02 2.29653E-02 3.67370E-04 0.260359 1 1 87.5 0.0 180.0 1.84090E-01 2.15818E-04 4.99299E-02 5.01457E-02 3.12503E-04 0.271225 1 4 87.5 45.0 135.0 1.55152E-01 1.97877E-04 4.56019E-02 4.57998E-02 2.86525E-04 0.293918 1 7 87.5 90.0 90.0 1.28271E-01 2.19252E-04 4.05285E-02 4.07477E-02 3.17476E-04 0.315960 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 625.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 9.293E-04 2.828E-02 1.171E-01 8.451E-02 8.097E-01 1.346E-03 6.048E+01 2.842E-04 4.115E-04 1 0.00 0.00 5.270E-04 5.102E-02 1.492E-03 1.726E-03 1.495E-02 8.273E-04 4.916E+00 3 2.81 5.00 1.191E-04 1.720E-02 2.937E-04 4.196E-04 1.681E-03 1.336E-03 4.870E+00 5 6.95 10.00 3.191E-05 4.902E-03 9.061E-05 1.366E-04 4.075E-04 2.720E-03 4.901E+00 7 12.34 15.00 9.016E-06 1.017E-03 2.108E-05 2.757E-05 4.871E-05 5.957E-03 4.066E+00 9 17.23 20.00 3.656E-06 1.828E-04 5.686E-06 6.190E-06 7.303E-06 1.643E-02 3.457E+00 11 21.06 25.00 1.981E-06 3.561E-05 2.525E-06 2.569E-06 2.647E-06 4.743E-02 3.290E+00 13 24.41 30.00 1.187E-06 8.150E-06 1.410E-06 1.414E-06 1.421E-06 1.062E-01 3.234E+00 15 27.49 35.00 7.430E-07 2.491E-06 8.567E-07 8.572E-07 8.579E-07 1.639E-01 3.201E+00 17 30.21 40.00 4.828E-07 1.087E-06 5.311E-07 5.312E-07 5.312E-07 1.984E-01 3.152E+00 19 32.64 45.00 3.275E-07 6.102E-07 3.571E-07 3.571E-07 3.571E-07 2.159E-01 3.136E+00 21 34.87 50.00 2.264E-07 3.884E-07 2.360E-07 2.360E-07 2.360E-07 2.265E-01 3.089E+00 Waveband 23 of 30 completed in 10.9 sec. * * * * * Output for wavelength band 24 (630.0 to 640.0 nm; nominal wavelength = 635.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 97.9 m at 635.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 630.0 nm to 640.0 nm: Ed(diffuse) = 2.655E-01 Ed(direct) = 4.204E-01 Ed(total) = 6.859E-01 Absorption Coefficients of Individual Components at 635.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3012 0.0053 0.0000 0.0004 0.3070 3 2.898 5.000 0.3012 0.0071 0.0000 0.0005 0.3088 5 7.120 10.000 0.3012 0.0179 0.0000 0.0011 0.3201 7 12.602 15.000 0.3012 0.0200 0.0000 0.0012 0.3224 9 17.585 20.000 0.3012 0.0127 0.0000 0.0008 0.3147 11 21.508 25.000 0.3012 0.0095 0.0000 0.0007 0.3114 13 24.937 30.000 0.3012 0.0079 0.0000 0.0006 0.3097 15 28.106 35.000 0.3012 0.0071 0.0000 0.0005 0.3088 17 30.910 40.000 0.3012 0.0044 0.0000 0.0004 0.3060 19 33.425 45.000 0.3012 0.0044 0.0000 0.0004 0.3060 21 35.733 50.000 0.3012 0.0025 0.0000 0.0002 0.3039 Scattering Coefficients of Individual Components at 635.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0010 0.1152 0.1191 0.0000 0.2353 3 2.898 5.000 0.0010 0.1411 0.1653 0.0000 0.3074 5 7.120 10.000 0.0010 0.2634 0.4710 0.0000 0.7354 7 12.602 15.000 0.0010 0.2816 0.5318 0.0000 0.8145 9 17.585 20.000 0.0010 0.2110 0.3214 0.0000 0.5334 11 21.508 25.000 0.0010 0.1740 0.2331 0.0000 0.4082 13 24.937 30.000 0.0010 0.1527 0.1880 0.0000 0.3418 15 28.106 35.000 0.0010 0.1411 0.1653 0.0000 0.3074 17 30.910 40.000 0.0010 0.1005 0.0956 0.0000 0.1971 19 33.425 45.000 0.0010 0.1005 0.0956 0.0000 0.1971 21 35.733 50.000 0.0010 0.0651 0.0477 0.0000 0.1139 Backscattering Coefficients of Individual Components at 635.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00051 0.00162 0.00021 0.00000 0.00234 3 2.898 5.000 0.00051 0.00198 0.00029 0.00000 0.00278 5 7.120 10.000 0.00051 0.00369 0.00083 0.00000 0.00504 7 12.602 15.000 0.00051 0.00395 0.00094 0.00000 0.00540 9 17.585 20.000 0.00051 0.00296 0.00057 0.00000 0.00404 11 21.508 25.000 0.00051 0.00244 0.00041 0.00000 0.00336 13 24.937 30.000 0.00051 0.00214 0.00033 0.00000 0.00299 15 28.106 35.000 0.00051 0.00198 0.00029 0.00000 0.00278 17 30.910 40.000 0.00051 0.00141 0.00017 0.00000 0.00209 19 33.425 45.000 0.00051 0.00141 0.00017 0.00000 0.00209 21 35.733 50.000 0.00051 0.00091 0.00008 0.00000 0.00151 Summary of Inherent Optical Properties at 635.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3070 0.2353 0.5423 0.4339 0.00234 0.00994 3 2.898 5.000 0.3088 0.3074 0.6162 0.4989 0.00278 0.00906 5 7.120 10.000 0.3201 0.7354 1.0555 0.6967 0.00504 0.00685 7 12.602 15.000 0.3224 0.8145 1.1369 0.7164 0.00540 0.00663 9 17.585 20.000 0.3147 0.5334 0.8481 0.6289 0.00404 0.00757 11 21.508 25.000 0.3114 0.4082 0.7196 0.5672 0.00336 0.00824 13 24.937 30.000 0.3097 0.3418 0.6515 0.5246 0.00299 0.00874 15 28.106 35.000 0.3088 0.3074 0.6162 0.4989 0.00278 0.00906 17 30.910 40.000 0.3060 0.1971 0.5031 0.3918 0.00209 0.01061 19 33.425 45.000 0.3060 0.1971 0.5031 0.3918 0.00209 0.01061 21 35.733 50.000 0.3039 0.1139 0.4178 0.2726 0.00151 0.01327 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 7.5356E-01 8 20.00 3.6685E-01 7 30.00 1.3205E-01 6 40.00 4.1326E-02 5 50.00 1.3067E-02 4 60.00 4.6583E-03 3 70.00 1.9597E-03 2 80.00 9.7037E-04 1 87.50 6.2574E-04 1 92.50 4.8562E-04 2 100.00 3.5934E-04 3 110.00 2.6684E-04 4 120.00 2.1959E-04 5 130.00 1.9515E-04 6 140.00 1.8249E-04 7 150.00 1.7607E-04 8 160.00 1.7298E-04 9 170.00 1.7161E-04 10 180.00 1.7102E-04 Asymptotic AOP values are MUu(inf) = 0.4050 MUd(inf) = 0.9129 MU(inf) = 0.9079 R(inf) = 0.0017 Lu(inf)/Ed(inf) = 0.000441 (1/sr) k(inf) = 0.3348 (1/m) absorp(check) = 0.3039 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 635.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.3702E-01 1.5563E+00 1.7933E+00 5.5705E-02 6.8594E-01 0.2350 0.4408 0.3514 8.1210E-02 1 0.00 0.00 6.6019E-03 8.3591E-01 8.4251E-01 2.3665E-03 6.3260E-01 0.3585 0.7568 0.7480 3.7409E-03 3 2.90 5.00 1.3085E-03 1.0533E-01 1.0664E-01 4.7497E-04 7.8765E-02 0.3630 0.7478 0.7342 6.0302E-03 5 7.12 10.00 3.3432E-04 1.2389E-02 1.2723E-02 1.2137E-04 9.2715E-03 0.3630 0.7484 0.7192 1.3091E-02 7 12.60 15.00 7.1135E-05 1.4230E-03 1.4942E-03 2.9527E-05 1.0795E-03 0.4151 0.7586 0.7027 2.7351E-02 9 17.58 20.00 2.3548E-05 1.9464E-04 2.1819E-04 1.1010E-05 1.4690E-04 0.4675 0.7547 0.6228 7.4948E-02 11 21.51 25.00 1.2106E-05 3.9095E-05 5.1201E-05 5.8517E-06 2.7321E-05 0.4834 0.6988 0.4193 2.1418E-01 13 24.94 30.00 7.1140E-06 1.3076E-05 2.0190E-05 3.4719E-06 8.0266E-06 0.4880 0.6138 0.2256 4.3255E-01 15 28.11 35.00 4.3893E-06 6.4752E-06 1.0864E-05 2.1509E-06 3.6464E-06 0.4900 0.5631 0.1376 5.8987E-01 17 30.91 40.00 2.7799E-06 3.8017E-06 6.5816E-06 1.3723E-06 2.0786E-06 0.4936 0.5467 0.1073 6.6021E-01 19 33.43 45.00 1.8595E-06 2.4491E-06 4.3086E-06 9.1905E-07 1.3209E-06 0.4943 0.5393 0.0933 6.9578E-01 21 35.73 50.00 1.2464E-06 1.6175E-06 2.8639E-06 6.2059E-07 8.7224E-07 0.4979 0.5393 0.0879 7.1149E-01 K-functions (units of 1/meter) at 635.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.33415 0.40045 0.39993 0.33279 0.40985 0.41014 0.34795 5.000 5.010 5.005 0.21213 0.42103 0.41846 0.22168 0.41813 0.41933 0.24154 10.000 10.010 10.005 0.34308 0.43715 0.43468 0.32425 0.43610 0.43758 0.28693 15.000 15.010 15.005 0.28022 0.42244 0.41566 0.24944 0.42180 0.42665 0.20868 20.000 20.010 20.005 0.15361 0.36647 0.34347 0.14180 0.37181 0.39047 0.13003 25.000 25.010 25.005 0.11154 0.27254 0.23445 0.10877 0.29549 0.34645 0.10543 30.000 30.010 30.005 0.09809 0.17310 0.14666 0.09720 0.19638 0.27205 0.09569 35.000 35.010 35.005 0.09375 0.11837 0.10842 0.09299 0.12877 0.18027 0.09079 40.000 40.010 40.005 0.08040 0.09961 0.09150 0.07999 0.10212 0.14514 0.07922 45.000 45.010 45.005 0.08182 0.08299 0.08248 0.08119 0.08433 0.09151 0.07903 50.000 50.010 50.005 0.06956 0.08335 0.07735 0.06916 0.08270 0.11612 0.06841 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 635.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 2.78988E-02 2.58300E-04 6.36428E-04 8.94728E-04 3.76563E-04 0.022812 9 1 10.0 0.0 180.0 2.46802E-02 2.65692E-04 5.47010E-04 8.12702E-04 3.87340E-04 0.022164 9 4 10.0 45.0 135.0 2.54272E-02 2.63357E-04 5.65751E-04 8.29108E-04 3.83936E-04 0.022250 9 7 10.0 90.0 90.0 2.80022E-02 2.60608E-04 6.36208E-04 8.96816E-04 3.79928E-04 0.022720 8 1 20.0 0.0 180.0 2.41153E-02 2.71405E-04 5.35617E-04 8.07022E-04 3.95668E-04 0.022211 8 4 20.0 45.0 135.0 2.48797E-02 2.66273E-04 5.53663E-04 8.19936E-04 3.88187E-04 0.022254 8 7 20.0 90.0 90.0 2.85967E-02 2.62148E-04 6.47235E-04 9.09383E-04 3.82173E-04 0.022633 7 1 30.0 0.0 180.0 2.53062E-02 2.78780E-04 5.97439E-04 8.76219E-04 4.06420E-04 0.023608 7 4 30.0 45.0 135.0 2.56854E-02 2.74589E-04 6.04394E-04 8.78983E-04 4.00311E-04 0.023531 7 7 30.0 90.0 90.0 2.98160E-02 2.67585E-04 7.06412E-04 9.73997E-04 3.90099E-04 0.023692 6 1 40.0 0.0 180.0 2.86745E-02 2.86188E-04 8.15796E-04 1.10198E-03 4.17220E-04 0.028450 6 4 40.0 45.0 135.0 2.82119E-02 2.79837E-04 7.92917E-04 1.07275E-03 4.07961E-04 0.028106 6 7 40.0 90.0 90.0 3.20368E-02 2.71765E-04 8.95483E-04 1.16725E-03 3.96193E-04 0.027952 5 1 50.0 0.0 180.0 3.51443E-02 2.94360E-04 1.52016E-03 1.81452E-03 4.29133E-04 0.043255 5 4 50.0 45.0 135.0 3.32269E-02 2.84964E-04 1.41666E-03 1.70163E-03 4.15435E-04 0.042636 5 7 50.0 90.0 90.0 3.59365E-02 2.76971E-04 1.48420E-03 1.76117E-03 4.03782E-04 0.041301 4 1 60.0 0.0 180.0 4.67453E-02 2.94428E-04 3.88976E-03 4.18419E-03 4.29233E-04 0.083212 4 4 60.0 45.0 135.0 4.24368E-02 2.83453E-04 3.46629E-03 3.74974E-03 4.13232E-04 0.081681 4 7 60.0 90.0 90.0 4.28175E-02 2.79121E-04 3.38123E-03 3.66035E-03 4.06917E-04 0.078968 3 1 70.0 0.0 180.0 6.85321E-02 2.77225E-04 1.11063E-02 1.13836E-02 4.04153E-04 0.162060 3 4 70.0 45.0 135.0 6.00369E-02 2.68912E-04 9.74438E-03 1.00133E-02 3.92035E-04 0.162306 3 7 70.0 90.0 90.0 5.62230E-02 2.65974E-04 9.05907E-03 9.32504E-03 3.87751E-04 0.161127 2 1 80.0 0.0 180.0 1.16048E-01 2.40644E-04 2.78559E-02 2.80966E-02 3.50823E-04 0.240037 2 4 80.0 45.0 135.0 9.90466E-02 2.32287E-04 2.47114E-02 2.49437E-02 3.38640E-04 0.249493 2 7 80.0 90.0 90.0 8.60557E-02 2.30991E-04 2.24054E-02 2.26364E-02 3.36751E-04 0.260359 1 1 87.5 0.0 180.0 1.81608E-01 1.96395E-04 4.92568E-02 4.94532E-02 2.86315E-04 0.271225 1 4 87.5 45.0 135.0 1.53060E-01 1.80100E-04 4.49872E-02 4.51673E-02 2.62560E-04 0.293918 1 7 87.5 90.0 90.0 1.26542E-01 1.99715E-04 3.99821E-02 4.01818E-02 2.91156E-04 0.315960 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 635.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 8.947E-04 2.790E-02 1.155E-01 8.336E-02 8.032E-01 1.304E-03 6.226E+01 2.583E-04 3.766E-04 1 0.00 0.00 4.790E-04 5.033E-02 1.378E-03 1.599E-03 1.456E-02 7.572E-04 4.940E+00 3 2.90 5.00 9.835E-05 1.545E-02 2.409E-04 3.443E-04 1.376E-03 1.249E-03 4.830E+00 5 7.12 10.00 2.560E-05 3.977E-03 6.915E-05 1.028E-04 2.999E-04 2.762E-03 4.740E+00 7 12.60 15.00 7.587E-06 7.441E-04 1.592E-05 2.014E-05 3.376E-05 7.028E-03 3.892E+00 9 17.58 20.00 3.250E-06 1.219E-04 4.659E-06 4.949E-06 5.584E-06 2.213E-02 3.387E+00 11 21.51 25.00 1.795E-06 2.237E-05 2.200E-06 2.223E-06 2.263E-06 6.571E-02 3.259E+00 13 24.94 30.00 1.081E-06 5.194E-06 1.254E-06 1.256E-06 1.260E-06 1.346E-01 3.213E+00 15 28.11 35.00 6.757E-07 1.767E-06 7.652E-07 7.654E-07 7.657E-07 1.853E-01 3.183E+00 17 30.91 40.00 4.373E-07 8.628E-07 4.748E-07 4.748E-07 4.748E-07 2.104E-01 3.138E+00 19 33.43 45.00 2.944E-07 5.146E-07 3.167E-07 3.167E-07 3.167E-07 2.229E-01 3.122E+00 21 35.73 50.00 2.016E-07 3.344E-07 2.081E-07 2.081E-07 2.081E-07 2.312E-01 3.078E+00 Waveband 24 of 30 completed in 11.2 sec. * * * * * Output for wavelength band 25 (640.0 to 650.0 nm; nominal wavelength = 645.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 95.4 m at 645.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 640.0 nm to 650.0 nm: Ed(diffuse) = 2.561E-01 Ed(direct) = 4.096E-01 Ed(total) = 6.657E-01 Absorption Coefficients of Individual Components at 645.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3250 0.0056 0.0000 0.0004 0.3310 3 3.013 5.000 0.3250 0.0074 0.0000 0.0005 0.3329 5 7.352 10.000 0.3250 0.0183 0.0000 0.0009 0.3443 7 12.954 15.000 0.3250 0.0204 0.0000 0.0010 0.3465 9 18.056 20.000 0.3250 0.0131 0.0000 0.0007 0.3389 11 22.095 25.000 0.3250 0.0100 0.0000 0.0006 0.3355 13 25.639 30.000 0.3250 0.0083 0.0000 0.0005 0.3338 15 28.924 35.000 0.3250 0.0074 0.0000 0.0005 0.3329 17 31.842 40.000 0.3250 0.0047 0.0000 0.0003 0.3300 19 34.472 45.000 0.3250 0.0047 0.0000 0.0003 0.3300 21 36.894 50.000 0.3250 0.0026 0.0000 0.0002 0.3279 Scattering Coefficients of Individual Components at 645.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0010 0.1147 0.1185 0.0000 0.2342 3 3.013 5.000 0.0010 0.1406 0.1647 0.0000 0.3062 5 7.352 10.000 0.0010 0.2634 0.4710 0.0000 0.7353 7 12.954 15.000 0.0010 0.2816 0.5318 0.0000 0.8144 9 18.056 20.000 0.0010 0.2107 0.3210 0.0000 0.5327 11 22.095 25.000 0.0010 0.1736 0.2325 0.0000 0.4071 13 25.639 30.000 0.0010 0.1523 0.1875 0.0000 0.3407 15 28.924 35.000 0.0010 0.1406 0.1647 0.0000 0.3062 17 31.842 40.000 0.0010 0.1000 0.0951 0.0000 0.1960 19 34.472 45.000 0.0010 0.1000 0.0951 0.0000 0.1960 21 36.894 50.000 0.0010 0.0646 0.0474 0.0000 0.1129 Backscattering Coefficients of Individual Components at 645.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00048 0.00161 0.00021 0.00000 0.00230 3 3.013 5.000 0.00048 0.00197 0.00029 0.00000 0.00274 5 7.352 10.000 0.00048 0.00369 0.00083 0.00000 0.00500 7 12.954 15.000 0.00048 0.00395 0.00094 0.00000 0.00537 9 18.056 20.000 0.00048 0.00295 0.00057 0.00000 0.00400 11 22.095 25.000 0.00048 0.00243 0.00041 0.00000 0.00332 13 25.639 30.000 0.00048 0.00213 0.00033 0.00000 0.00295 15 28.924 35.000 0.00048 0.00197 0.00029 0.00000 0.00274 17 31.842 40.000 0.00048 0.00140 0.00017 0.00000 0.00205 19 34.472 45.000 0.00048 0.00140 0.00017 0.00000 0.00205 21 36.894 50.000 0.00048 0.00091 0.00008 0.00000 0.00147 Summary of Inherent Optical Properties at 645.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3310 0.2342 0.5652 0.4143 0.00230 0.00981 3 3.013 5.000 0.3329 0.3062 0.6391 0.4792 0.00274 0.00895 5 7.352 10.000 0.3443 0.7353 1.0796 0.6811 0.00500 0.00680 7 12.954 15.000 0.3465 0.8144 1.1609 0.7015 0.00537 0.00659 9 18.056 20.000 0.3389 0.5327 0.8716 0.6112 0.00400 0.00751 11 22.095 25.000 0.3355 0.4071 0.7427 0.5482 0.00332 0.00817 13 25.639 30.000 0.3338 0.3407 0.6745 0.5051 0.00295 0.00865 15 28.924 35.000 0.3329 0.3062 0.6391 0.4792 0.00274 0.00895 17 31.842 40.000 0.3300 0.1960 0.5260 0.3726 0.00205 0.01046 19 34.472 45.000 0.3300 0.1960 0.5260 0.3726 0.00205 0.01046 21 36.894 50.000 0.3279 0.1129 0.4408 0.2562 0.00147 0.01301 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 7.4121E-01 8 20.00 3.4751E-01 7 30.00 1.1979E-01 6 40.00 3.6147E-02 5 50.00 1.1177E-02 4 60.00 3.9514E-03 3 70.00 1.6616E-03 2 80.00 8.2378E-04 1 87.50 5.3151E-04 1 92.50 4.1277E-04 2 100.00 3.0550E-04 3 110.00 2.2695E-04 4 120.00 1.8690E-04 5 130.00 1.6621E-04 6 140.00 1.5549E-04 7 150.00 1.5006E-04 8 160.00 1.4746E-04 9 170.00 1.4631E-04 10 180.00 1.4581E-04 Asymptotic AOP values are MUu(inf) = 0.4053 MUd(inf) = 0.9169 MU(inf) = 0.9124 R(inf) = 0.0016 Lu(inf)/Ed(inf) = 0.000395 (1/sr) k(inf) = 0.3594 (1/m) absorp(check) = 0.3279 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 645.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.2951E-01 1.5092E+00 1.7387E+00 5.3941E-02 6.6567E-01 0.2350 0.4411 0.3518 8.1033E-02 1 0.00 0.00 5.8418E-03 8.1083E-01 8.1668E-01 2.0836E-03 6.1382E-01 0.3567 0.7570 0.7491 3.3945E-03 3 3.01 5.00 9.9812E-04 8.7135E-02 8.8133E-02 3.6427E-04 6.5423E-02 0.3650 0.7508 0.7382 5.5680E-03 5 7.35 10.00 2.3813E-04 8.8389E-03 9.0770E-03 8.9051E-05 6.6586E-03 0.3740 0.7533 0.7238 1.3374E-02 7 12.95 15.00 5.4395E-05 8.9718E-04 9.5158E-04 2.3550E-05 6.8238E-04 0.4329 0.7606 0.6924 3.4512E-02 9 18.06 20.00 2.0199E-05 1.1594E-04 1.3614E-04 9.6087E-06 8.5796E-05 0.4757 0.7400 0.5596 1.1200E-01 11 22.10 25.00 1.0773E-05 2.5394E-05 3.6166E-05 5.2405E-06 1.6717E-05 0.4865 0.6583 0.3173 3.1349E-01 13 25.64 30.00 6.3804E-06 9.9914E-06 1.6372E-05 3.1258E-06 5.7928E-06 0.4899 0.5798 0.1629 5.3960E-01 15 28.92 35.00 3.9389E-06 5.4342E-06 9.3731E-06 1.9363E-06 2.9787E-06 0.4916 0.5481 0.1112 6.5005E-01 17 31.84 40.00 2.4899E-06 3.2942E-06 5.7841E-06 1.2323E-06 1.7812E-06 0.4949 0.5407 0.0949 6.9186E-01 19 34.47 45.00 1.6575E-06 2.1377E-06 3.7952E-06 8.2145E-07 1.1471E-06 0.4956 0.5366 0.0858 7.1613E-01 21 36.89 50.00 1.1060E-06 1.4110E-06 2.5169E-06 5.5186E-07 7.5834E-07 0.4990 0.5375 0.0820 7.2773E-01 K-functions (units of 1/meter) at 645.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.36926 0.43297 0.43251 0.36417 0.44144 0.44171 0.37723 5.000 5.010 5.005 0.23337 0.45188 0.44940 0.24001 0.44832 0.44949 0.25419 10.000 10.010 10.005 0.34440 0.46498 0.46182 0.31946 0.46382 0.46578 0.27617 15.000 15.010 15.005 0.25260 0.44272 0.43185 0.22455 0.44420 0.45206 0.19080 20.000 20.010 20.005 0.14025 0.36594 0.33243 0.13236 0.37840 0.40947 0.12424 25.000 25.010 25.005 0.10837 0.24178 0.20202 0.10658 0.27034 0.34521 0.10408 30.000 30.010 30.005 0.09764 0.14574 0.12699 0.09694 0.16338 0.24131 0.09562 35.000 35.010 35.005 0.09385 0.10749 0.10176 0.09316 0.11299 0.14984 0.09110 40.000 40.010 40.005 0.08139 0.09645 0.08997 0.08099 0.09718 0.13354 0.08019 45.000 45.010 45.005 0.08256 0.08279 0.08269 0.08195 0.08342 0.08713 0.07990 50.000 50.010 50.005 0.07104 0.08367 0.07812 0.07066 0.08289 0.11559 0.06988 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 645.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 2.69040E-02 2.26576E-04 6.13734E-04 8.40310E-04 3.40372E-04 0.022812 9 1 10.0 0.0 180.0 2.38002E-02 2.33054E-04 5.27504E-04 7.60558E-04 3.50104E-04 0.022164 9 4 10.0 45.0 135.0 2.45204E-02 2.31010E-04 5.45577E-04 7.76587E-04 3.47032E-04 0.022250 9 7 10.0 90.0 90.0 2.70037E-02 2.28603E-04 6.13522E-04 8.42125E-04 3.43418E-04 0.022720 8 1 20.0 0.0 180.0 2.32554E-02 2.38066E-04 5.16517E-04 7.54583E-04 3.57633E-04 0.022211 8 4 20.0 45.0 135.0 2.39926E-02 2.33568E-04 5.33920E-04 7.67488E-04 3.50875E-04 0.022254 8 7 20.0 90.0 90.0 2.75770E-02 2.29958E-04 6.24155E-04 8.54113E-04 3.45452E-04 0.022633 7 1 30.0 0.0 180.0 2.44038E-02 2.44538E-04 5.76135E-04 8.20673E-04 3.67355E-04 0.023608 7 4 30.0 45.0 135.0 2.47695E-02 2.40866E-04 5.82842E-04 8.23708E-04 3.61838E-04 0.023531 7 7 30.0 90.0 90.0 2.87527E-02 2.34732E-04 6.81222E-04 9.15954E-04 3.52624E-04 0.023692 6 1 40.0 0.0 180.0 2.76520E-02 2.51046E-04 7.86706E-04 1.03775E-03 3.77132E-04 0.028450 6 4 40.0 45.0 135.0 2.72059E-02 2.45478E-04 7.64642E-04 1.01012E-03 3.68767E-04 0.028106 6 7 40.0 90.0 90.0 3.08944E-02 2.38411E-04 8.63551E-04 1.10196E-03 3.58151E-04 0.027952 5 1 50.0 0.0 180.0 3.38911E-02 2.58233E-04 1.46595E-03 1.72418E-03 3.87928E-04 0.043255 5 4 50.0 45.0 135.0 3.20421E-02 2.49992E-04 1.36615E-03 1.61614E-03 3.75549E-04 0.042636 5 7 50.0 90.0 90.0 3.46550E-02 2.42999E-04 1.43127E-03 1.67427E-03 3.65043E-04 0.041301 4 1 60.0 0.0 180.0 4.50784E-02 2.58316E-04 3.75106E-03 4.00937E-03 3.88053E-04 0.083212 4 4 60.0 45.0 135.0 4.09236E-02 2.48688E-04 3.34268E-03 3.59137E-03 3.73590E-04 0.081681 4 7 60.0 90.0 90.0 4.12900E-02 2.44914E-04 3.26065E-03 3.50557E-03 3.67919E-04 0.078970 3 1 70.0 0.0 180.0 6.60884E-02 2.43252E-04 1.07103E-02 1.09535E-02 3.65424E-04 0.162060 3 4 70.0 45.0 135.0 5.78961E-02 2.35967E-04 9.39691E-03 9.63287E-03 3.54479E-04 0.162306 3 7 70.0 90.0 90.0 5.42182E-02 2.33426E-04 8.73602E-03 8.96945E-03 3.50662E-04 0.161127 2 1 80.0 0.0 180.0 1.11910E-01 2.11184E-04 2.68626E-02 2.70738E-02 3.17250E-04 0.240037 2 4 80.0 45.0 135.0 9.55147E-02 2.03864E-04 2.38303E-02 2.40341E-02 3.06253E-04 0.249493 2 7 80.0 90.0 90.0 8.29870E-02 2.02772E-04 2.16064E-02 2.18092E-02 3.04612E-04 0.260359 1 1 87.5 0.0 180.0 1.75133E-01 1.72386E-04 4.75004E-02 4.76727E-02 2.58965E-04 0.271225 1 4 87.5 45.0 135.0 1.47602E-01 1.58099E-04 4.33830E-02 4.35411E-02 2.37502E-04 0.293918 1 7 87.5 90.0 90.0 1.22029E-01 1.75375E-04 3.85564E-02 3.87317E-02 2.63455E-04 0.315960 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 645.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 8.403E-04 2.690E-02 1.114E-01 8.038E-02 7.785E-01 1.262E-03 6.419E+01 2.266E-04 3.404E-04 1 0.00 0.00 4.202E-04 4.853E-02 1.236E-03 1.435E-03 1.381E-02 6.846E-04 4.959E+00 3 3.01 5.00 7.667E-05 1.314E-02 1.843E-04 2.628E-04 1.040E-03 1.172E-03 4.751E+00 5 7.35 10.00 1.980E-05 2.958E-03 4.903E-05 7.094E-05 1.982E-04 2.973E-03 4.498E+00 7 12.95 15.00 6.367E-06 4.845E-04 1.162E-05 1.398E-05 2.150E-05 9.331E-03 3.699E+00 9 18.06 20.00 2.891E-06 7.102E-05 3.824E-06 3.962E-06 4.262E-06 3.369E-02 3.324E+00 11 22.10 25.00 1.622E-06 1.243E-05 1.917E-06 1.927E-06 1.943E-06 9.703E-02 3.231E+00 13 25.64 30.00 9.792E-07 3.150E-06 1.111E-06 1.112E-06 1.113E-06 1.690E-01 3.192E+00 15 28.92 35.00 6.118E-07 1.275E-06 6.798E-07 6.799E-07 6.800E-07 2.054E-01 3.165E+00 17 31.84 40.00 3.947E-07 6.989E-07 4.218E-07 4.218E-07 4.219E-07 2.216E-01 3.122E+00 19 34.47 45.00 2.645E-07 4.366E-07 2.800E-07 2.800E-07 2.800E-07 2.306E-01 3.106E+00 21 36.89 50.00 1.801E-07 2.875E-07 1.834E-07 1.834E-07 1.834E-07 2.375E-01 3.064E+00 Waveband 25 of 30 completed in 11.8 sec. * * * * * Output for wavelength band 26 (650.0 to 660.0 nm; nominal wavelength = 655.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 91.1 m at 655.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 650.0 nm to 660.0 nm: Ed(diffuse) = 2.439E-01 Ed(direct) = 3.940E-01 Ed(total) = 6.378E-01 Absorption Coefficients of Individual Components at 655.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3710 0.0064 0.0000 0.0003 0.3778 3 3.241 5.000 0.3710 0.0085 0.0000 0.0004 0.3799 5 7.815 10.000 0.3710 0.0207 0.0000 0.0008 0.3925 7 13.659 15.000 0.3710 0.0231 0.0000 0.0009 0.3949 9 19.000 20.000 0.3710 0.0149 0.0000 0.0006 0.3865 11 23.272 25.000 0.3710 0.0113 0.0000 0.0005 0.3828 13 27.047 30.000 0.3710 0.0094 0.0000 0.0004 0.3809 15 30.561 35.000 0.3710 0.0085 0.0000 0.0004 0.3799 17 33.707 40.000 0.3710 0.0054 0.0000 0.0003 0.3766 19 36.565 45.000 0.3710 0.0054 0.0000 0.0003 0.3766 21 39.214 50.000 0.3710 0.0030 0.0000 0.0002 0.3742 Scattering Coefficients of Individual Components at 655.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0009 0.1142 0.1179 0.0000 0.2330 3 3.241 5.000 0.0009 0.1401 0.1641 0.0000 0.3051 5 7.815 10.000 0.0009 0.2634 0.4710 0.0000 0.7353 7 13.659 15.000 0.0009 0.2816 0.5318 0.0000 0.8144 9 19.000 20.000 0.0009 0.2105 0.3207 0.0000 0.5320 11 23.272 25.000 0.0009 0.1732 0.2320 0.0000 0.4061 13 27.047 30.000 0.0009 0.1518 0.1869 0.0000 0.3396 15 30.561 35.000 0.0009 0.1401 0.1641 0.0000 0.3051 17 33.707 40.000 0.0009 0.0994 0.0946 0.0000 0.1949 19 36.565 45.000 0.0009 0.0994 0.0946 0.0000 0.1949 21 39.214 50.000 0.0009 0.0641 0.0470 0.0000 0.1120 Backscattering Coefficients of Individual Components at 655.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00045 0.00160 0.00021 0.00000 0.00226 3 3.241 5.000 0.00045 0.00196 0.00029 0.00000 0.00270 5 7.815 10.000 0.00045 0.00369 0.00083 0.00000 0.00497 7 13.659 15.000 0.00045 0.00395 0.00094 0.00000 0.00533 9 19.000 20.000 0.00045 0.00295 0.00056 0.00000 0.00396 11 23.272 25.000 0.00045 0.00243 0.00041 0.00000 0.00329 13 27.047 30.000 0.00045 0.00213 0.00033 0.00000 0.00291 15 30.561 35.000 0.00045 0.00196 0.00029 0.00000 0.00270 17 33.707 40.000 0.00045 0.00139 0.00017 0.00000 0.00201 19 36.565 45.000 0.00045 0.00139 0.00017 0.00000 0.00201 21 39.214 50.000 0.00045 0.00090 0.00008 0.00000 0.00143 Summary of Inherent Optical Properties at 655.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3778 0.2330 0.6108 0.3815 0.00226 0.00969 3 3.241 5.000 0.3799 0.3051 0.6850 0.4454 0.00270 0.00886 5 7.815 10.000 0.3925 0.7353 1.1278 0.6520 0.00497 0.00676 7 13.659 15.000 0.3949 0.8144 1.2093 0.6734 0.00533 0.00655 9 19.000 20.000 0.3865 0.5320 0.9185 0.5792 0.00396 0.00745 11 23.272 25.000 0.3828 0.4061 0.7890 0.5148 0.00329 0.00809 13 27.047 30.000 0.3809 0.3396 0.7205 0.4714 0.00291 0.00856 15 30.561 35.000 0.3799 0.3051 0.6850 0.4454 0.00270 0.00886 17 33.707 40.000 0.3766 0.1949 0.5715 0.3410 0.00201 0.01032 19 36.565 45.000 0.3766 0.1949 0.5715 0.3410 0.00201 0.01032 21 39.214 50.000 0.3742 0.1120 0.4862 0.2304 0.00143 0.01278 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 7.1920E-01 8 20.00 3.1535E-01 7 30.00 1.0090E-01 6 40.00 2.8679E-02 5 50.00 8.5749E-03 4 60.00 3.0019E-03 3 70.00 1.2654E-03 2 80.00 6.3003E-04 1 87.50 4.0749E-04 1 92.50 3.1711E-04 2 100.00 2.3514E-04 3 110.00 1.7514E-04 4 120.00 1.4464E-04 5 130.00 1.2892E-04 6 140.00 1.2080E-04 7 150.00 1.1671E-04 8 160.00 1.1477E-04 9 170.00 1.1392E-04 10 180.00 1.1354E-04 Asymptotic AOP values are MUu(inf) = 0.4066 MUd(inf) = 0.9232 MU(inf) = 0.9193 R(inf) = 0.0013 Lu(inf)/Ed(inf) = 0.000336 (1/sr) k(inf) = 0.4071 (1/m) absorp(check) = 0.3743 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 655.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.1939E-01 1.4451E+00 1.6644E+00 5.1548E-02 6.3782E-01 0.2350 0.4414 0.3522 8.0818E-02 1 0.00 0.00 4.8392E-03 7.7638E-01 7.8122E-01 1.7185E-03 5.8800E-01 0.3551 0.7574 0.7505 2.9226E-03 3 3.24 5.00 6.4215E-04 6.1291E-02 6.1933E-02 2.4086E-04 4.6345E-02 0.3751 0.7562 0.7444 5.1971E-03 5 7.82 10.00 1.5571E-04 4.6846E-03 4.8404E-03 6.3703E-05 3.5628E-03 0.4091 0.7605 0.7229 1.7880E-02 7 13.66 15.00 4.6504E-05 3.9233E-04 4.3883E-04 2.1413E-05 2.9402E-04 0.4605 0.7494 0.6212 7.2830E-02 9 19.00 20.00 1.9031E-05 5.4008E-05 7.3039E-05 9.1722E-06 3.6573E-05 0.4820 0.6772 0.3751 2.5079E-01 11 23.27 25.00 1.0077E-05 1.6261E-05 2.6338E-05 4.9175E-06 9.4985E-06 0.4880 0.5841 0.1739 5.1771E-01 13 27.05 30.00 5.8546E-06 7.9926E-06 1.3847E-05 2.8729E-06 4.3612E-06 0.4907 0.5457 0.1075 6.5875E-01 15 30.56 35.00 3.5404E-06 4.6459E-06 8.1863E-06 1.7401E-06 2.4898E-06 0.4915 0.5359 0.0916 6.9891E-01 17 33.71 40.00 2.1556E-06 2.7801E-06 4.9357E-06 1.0689E-06 1.4912E-06 0.4959 0.5364 0.0855 7.1686E-01 19 36.57 45.00 1.4173E-06 1.7873E-06 3.2046E-06 7.0239E-07 9.5222E-07 0.4956 0.5328 0.0780 7.3763E-01 21 39.21 50.00 9.1330E-07 1.1460E-06 2.0593E-06 4.5667E-07 6.1381E-07 0.5000 0.5356 0.0763 7.4400E-01 K-functions (units of 1/meter) at 655.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.43849 0.49620 0.49584 0.42356 0.50291 0.50314 0.43061 5.000 5.010 5.005 0.26152 0.51142 0.50882 0.25783 0.50675 0.50805 0.25472 10.000 10.010 10.005 0.30500 0.51635 0.50954 0.27271 0.51628 0.52072 0.23068 15.000 15.010 15.005 0.20810 0.46079 0.43399 0.19422 0.47274 0.49465 0.17847 20.000 20.010 20.005 0.13467 0.32255 0.27356 0.13120 0.35043 0.42392 0.12699 25.000 25.010 25.005 0.11116 0.17988 0.15358 0.11006 0.20122 0.29916 0.10817 30.000 30.010 30.005 0.10059 0.12153 0.11267 0.10011 0.12755 0.18054 0.09914 35.000 35.010 35.005 0.10173 0.10283 0.10235 0.10109 0.10399 0.11075 0.09877 40.000 40.010 40.005 0.08288 0.10317 0.09431 0.08253 0.10242 0.15282 0.08207 45.000 45.010 45.005 0.08978 0.08378 0.08643 0.08918 0.08422 0.07025 0.08683 50.000 50.010 50.005 0.07258 0.09166 0.08319 0.07218 0.09039 0.14335 0.07146 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 655.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 2.56209E-02 1.86996E-04 5.84464E-04 7.71460E-04 2.93179E-04 0.022812 9 1 10.0 0.0 180.0 2.26651E-02 1.92352E-04 5.02347E-04 6.94699E-04 3.01576E-04 0.022164 9 4 10.0 45.0 135.0 2.33510E-02 1.90662E-04 5.19558E-04 7.10220E-04 2.98926E-04 0.022250 9 7 10.0 90.0 90.0 2.57159E-02 1.88657E-04 5.84262E-04 7.72919E-04 2.95782E-04 0.022720 8 1 20.0 0.0 180.0 2.21463E-02 1.96469E-04 4.91884E-04 6.88353E-04 3.08031E-04 0.022211 8 4 20.0 45.0 135.0 2.28483E-02 1.92754E-04 5.08457E-04 7.01211E-04 3.02206E-04 0.022254 8 7 20.0 90.0 90.0 2.62618E-02 1.89741E-04 5.94389E-04 7.84130E-04 2.97482E-04 0.022633 7 1 30.0 0.0 180.0 2.32399E-02 2.01781E-04 5.48658E-04 7.50439E-04 3.16359E-04 0.023608 7 4 30.0 45.0 135.0 2.35882E-02 1.98747E-04 5.55045E-04 7.53793E-04 3.11603E-04 0.023531 7 7 30.0 90.0 90.0 2.73815E-02 1.93634E-04 6.48734E-04 8.42368E-04 3.03586E-04 0.023692 6 1 40.0 0.0 180.0 2.63332E-02 2.07098E-04 7.49187E-04 9.56285E-04 3.24696E-04 0.028450 6 4 40.0 45.0 135.0 2.59084E-02 2.02500E-04 7.28176E-04 9.30676E-04 3.17487E-04 0.028106 6 7 40.0 90.0 90.0 2.94210E-02 1.96587E-04 8.22367E-04 1.01895E-03 3.08216E-04 0.027952 5 1 50.0 0.0 180.0 3.22748E-02 2.12980E-04 1.39604E-03 1.60902E-03 3.33917E-04 0.043255 5 4 50.0 45.0 135.0 3.05140E-02 2.06174E-04 1.30099E-03 1.50717E-03 3.23247E-04 0.042636 5 7 50.0 90.0 90.0 3.30023E-02 2.00287E-04 1.36301E-03 1.56330E-03 3.14017E-04 0.041301 4 1 60.0 0.0 180.0 4.29286E-02 2.13002E-04 3.57216E-03 3.78517E-03 3.33952E-04 0.083212 4 4 60.0 45.0 135.0 3.89720E-02 2.05049E-04 3.18327E-03 3.38832E-03 3.21483E-04 0.081681 4 7 60.0 90.0 90.0 3.93202E-02 2.01782E-04 3.10515E-03 3.30693E-03 3.16361E-04 0.078971 3 1 70.0 0.0 180.0 6.29365E-02 2.00535E-04 1.01995E-02 1.04000E-02 3.14406E-04 0.162060 3 4 70.0 45.0 135.0 5.51350E-02 1.94515E-04 8.94876E-03 9.14327E-03 3.04967E-04 0.162306 3 7 70.0 90.0 90.0 5.16324E-02 1.92234E-04 8.31938E-03 8.51162E-03 3.01391E-04 0.161127 2 1 80.0 0.0 180.0 1.06573E-01 1.74067E-04 2.55815E-02 2.57556E-02 2.72909E-04 0.240037 2 4 80.0 45.0 135.0 9.09595E-02 1.68020E-04 2.26938E-02 2.28618E-02 2.63427E-04 0.249493 2 7 80.0 90.0 90.0 7.90293E-02 1.66932E-04 2.05760E-02 2.07429E-02 2.61722E-04 0.260359 1 1 87.5 0.0 180.0 1.66780E-01 1.42071E-04 4.52350E-02 4.53771E-02 2.22744E-04 0.271225 1 4 87.5 45.0 135.0 1.40563E-01 1.30285E-04 4.13140E-02 4.14443E-02 2.04265E-04 0.293918 1 7 87.5 90.0 90.0 1.16210E-01 1.44341E-04 3.67175E-02 3.68619E-02 2.26304E-04 0.315960 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 655.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 7.715E-04 2.562E-02 1.061E-01 7.654E-02 7.451E-01 1.210E-03 6.682E+01 1.870E-04 2.932E-04 1 0.00 0.00 3.468E-04 4.622E-02 1.049E-03 1.216E-03 1.275E-02 5.898E-04 4.955E+00 3 3.24 5.00 5.368E-05 9.789E-03 1.185E-04 1.658E-04 6.281E-04 1.158E-03 4.487E+00 5 7.82 10.00 1.606E-05 1.694E-03 3.107E-05 4.078E-05 9.609E-05 4.507E-03 3.968E+00 7 13.66 15.00 6.131E-06 2.160E-04 9.157E-06 9.924E-06 1.232E-05 2.085E-02 3.493E+00 9 19.00 20.00 2.783E-06 2.720E-05 3.467E-06 3.501E-06 3.571E-06 7.610E-02 3.296E+00 11 23.27 25.00 1.524E-06 5.218E-06 1.769E-06 1.771E-06 1.774E-06 1.604E-01 3.228E+00 13 27.05 30.00 9.001E-07 1.834E-06 1.011E-06 1.011E-06 1.011E-06 2.064E-01 3.192E+00 15 30.56 35.00 5.486E-07 9.518E-07 6.095E-07 6.095E-07 6.095E-07 2.203E-01 3.172E+00 17 33.71 40.00 3.429E-07 5.620E-07 3.624E-07 3.624E-07 3.624E-07 2.300E-01 3.117E+00 19 36.57 45.00 2.258E-07 3.546E-07 2.389E-07 2.389E-07 2.389E-07 2.372E-01 3.110E+00 21 39.21 50.00 1.495E-07 2.301E-07 1.503E-07 1.503E-07 1.503E-07 2.435E-01 3.055E+00 Waveband 26 of 30 completed in 12.2 sec. * * * * * Output for wavelength band 27 (660.0 to 670.0 nm; nominal wavelength = 665.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 86.7 m at 665.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 660.0 nm to 670.0 nm: Ed(diffuse) = 2.556E-01 Ed(direct) = 4.169E-01 Ed(total) = 6.725E-01 Absorption Coefficients of Individual Components at 665.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.4290 0.0094 0.0000 0.0003 0.4387 3 3.543 5.000 0.4290 0.0124 0.0000 0.0004 0.4418 5 8.438 10.000 0.4290 0.0306 0.0000 0.0007 0.4604 7 14.624 15.000 0.4290 0.0342 0.0000 0.0008 0.4640 9 20.299 20.000 0.4290 0.0220 0.0000 0.0006 0.4515 11 24.888 25.000 0.4290 0.0166 0.0000 0.0004 0.4461 13 28.972 30.000 0.4290 0.0139 0.0000 0.0004 0.4432 15 32.791 35.000 0.4290 0.0124 0.0000 0.0004 0.4418 17 36.238 40.000 0.4290 0.0078 0.0000 0.0002 0.4371 19 39.392 45.000 0.4290 0.0078 0.0000 0.0002 0.4371 21 42.336 50.000 0.4290 0.0044 0.0000 0.0002 0.4336 Scattering Coefficients of Individual Components at 665.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0008 0.1136 0.1174 0.0000 0.2319 3 3.543 5.000 0.0008 0.1396 0.1635 0.0000 0.3040 5 8.438 10.000 0.0008 0.2634 0.4710 0.0000 0.7352 7 14.624 15.000 0.0008 0.2816 0.5318 0.0000 0.8143 9 20.299 20.000 0.0008 0.2102 0.3203 0.0000 0.5313 11 24.888 25.000 0.0008 0.1728 0.2315 0.0000 0.4052 13 28.972 30.000 0.0008 0.1513 0.1863 0.0000 0.3385 15 32.791 35.000 0.0008 0.1396 0.1635 0.0000 0.3040 17 36.238 40.000 0.0008 0.0989 0.0941 0.0000 0.1938 19 39.392 45.000 0.0008 0.0989 0.0941 0.0000 0.1938 21 42.336 50.000 0.0008 0.0636 0.0467 0.0000 0.1111 Backscattering Coefficients of Individual Components at 665.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00042 0.00159 0.00021 0.00000 0.00222 3 3.543 5.000 0.00042 0.00196 0.00029 0.00000 0.00267 5 8.438 10.000 0.00042 0.00369 0.00083 0.00000 0.00494 7 14.624 15.000 0.00042 0.00395 0.00094 0.00000 0.00531 9 20.299 20.000 0.00042 0.00295 0.00056 0.00000 0.00393 11 24.888 25.000 0.00042 0.00242 0.00041 0.00000 0.00325 13 28.972 30.000 0.00042 0.00212 0.00033 0.00000 0.00287 15 32.791 35.000 0.00042 0.00196 0.00029 0.00000 0.00267 17 36.238 40.000 0.00042 0.00139 0.00017 0.00000 0.00197 19 39.392 45.000 0.00042 0.00139 0.00017 0.00000 0.00197 21 42.336 50.000 0.00042 0.00089 0.00008 0.00000 0.00140 Summary of Inherent Optical Properties at 665.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.4387 0.2319 0.6706 0.3458 0.00222 0.00958 3 3.543 5.000 0.4418 0.3040 0.7458 0.4076 0.00267 0.00877 5 8.438 10.000 0.4604 0.7352 1.1956 0.6149 0.00494 0.00672 7 14.624 15.000 0.4640 0.8143 1.2783 0.6370 0.00531 0.00652 9 20.299 20.000 0.4515 0.5313 0.9828 0.5406 0.00393 0.00740 11 24.888 25.000 0.4461 0.4052 0.8513 0.4760 0.00325 0.00803 13 28.972 30.000 0.4432 0.3385 0.7818 0.4330 0.00287 0.00848 15 32.791 35.000 0.4418 0.3040 0.7458 0.4076 0.00267 0.00877 17 36.238 40.000 0.4371 0.1938 0.6309 0.3072 0.00197 0.01018 19 39.392 45.000 0.4371 0.1938 0.6309 0.3072 0.00197 0.01018 21 42.336 50.000 0.4336 0.1111 0.5447 0.2040 0.00140 0.01256 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 6.9276E-01 8 20.00 2.8036E-01 7 30.00 8.2381E-02 6 40.00 2.1960E-02 5 50.00 6.3587E-03 4 60.00 2.2125E-03 3 70.00 9.3728E-04 2 80.00 4.6917E-04 1 87.50 3.0428E-04 1 92.50 2.3731E-04 2 100.00 1.7635E-04 3 110.00 1.3174E-04 4 120.00 1.0914E-04 5 130.00 9.7518E-05 6 140.00 9.1536E-05 7 150.00 8.8537E-05 8 160.00 8.7132E-05 9 170.00 8.6522E-05 10 180.00 8.6246E-05 Asymptotic AOP values are MUu(inf) = 0.4080 MUd(inf) = 0.9296 MU(inf) = 0.9264 R(inf) = 0.0011 Lu(inf)/Ed(inf) = 0.000281 (1/sr) k(inf) = 0.4681 (1/m) absorp(check) = 0.4337 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 665.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.3090E-01 1.5226E+00 1.7535E+00 5.4264E-02 6.7251E-01 0.2350 0.4417 0.3526 8.0689E-02 1 0.00 0.00 4.5416E-03 8.1823E-01 8.2277E-01 1.6334E-03 6.1988E-01 0.3597 0.7576 0.7514 2.6350E-03 3 3.54 5.00 6.0359E-04 4.3390E-02 4.3994E-02 2.5707E-04 3.3039E-02 0.4259 0.7614 0.7452 7.7807E-03 5 8.44 10.00 2.9715E-04 2.4841E-03 2.7812E-03 1.3859E-04 1.8482E-03 0.4664 0.7440 0.6147 7.4988E-02 7 14.62 15.00 1.2919E-04 2.8512E-04 4.1431E-04 6.0881E-05 1.7944E-04 0.4713 0.6293 0.2861 3.3929E-01 9 20.30 20.00 4.6003E-05 7.5577E-05 1.2158E-04 2.2007E-05 4.2790E-05 0.4784 0.5662 0.1709 5.1429E-01 11 24.89 25.00 2.1385E-05 3.0189E-05 5.1574E-05 1.0328E-05 1.6343E-05 0.4830 0.5414 0.1166 6.3194E-01 13 28.97 30.00 1.1406E-05 1.5058E-05 2.6464E-05 5.5416E-06 8.0074E-06 0.4858 0.5318 0.0932 6.9206E-01 15 32.79 35.00 6.4225E-06 8.4384E-06 1.4861E-05 3.1013E-06 4.4492E-06 0.4829 0.5273 0.0907 6.9703E-01 17 36.24 40.00 3.2968E-06 4.3372E-06 7.6340E-06 1.6218E-06 2.3220E-06 0.4919 0.5354 0.0917 6.9847E-01 19 39.39 45.00 2.1276E-06 2.6799E-06 4.8074E-06 1.0337E-06 1.4039E-06 0.4859 0.5239 0.0770 7.3632E-01 21 42.34 50.00 1.1437E-06 1.4747E-06 2.6184E-06 5.6787E-07 7.8996E-07 0.4965 0.5357 0.0848 7.1885E-01 K-functions (units of 1/meter) at 665.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.51118 0.57861 0.57824 0.47569 0.58298 0.58326 0.46110 5.000 5.010 5.005 0.16888 0.58675 0.58101 0.13994 0.58157 0.58504 0.11301 10.000 10.010 10.005 0.17866 0.53301 0.49509 0.16872 0.55205 0.58319 0.15942 15.000 15.010 15.005 0.20574 0.30934 0.27702 0.20648 0.35232 0.42730 0.20616 20.000 20.010 20.005 0.15667 0.23764 0.20700 0.15515 0.24560 0.34147 0.15355 25.000 25.010 25.005 0.12806 0.16558 0.15002 0.12732 0.16871 0.23980 0.12615 30.000 30.010 30.005 0.11065 0.13125 0.12237 0.11048 0.13229 0.18134 0.11075 35.000 35.010 35.005 0.13527 0.11200 0.12206 0.13554 0.11201 0.05790 0.13374 40.000 40.010 40.005 0.08094 0.14623 0.11803 0.08072 0.14341 0.28878 0.08199 45.000 45.010 45.005 0.12451 0.08269 0.10120 0.12490 0.08388 -0.03058 0.12253 50.000 50.010 50.005 0.06848 0.13931 0.10837 0.06797 0.13508 0.30687 0.06767 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 665.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 2.68580E-02 1.83541E-04 6.12685E-04 7.96226E-04 2.72919E-04 0.022812 9 1 10.0 0.0 180.0 2.37595E-02 1.88430E-04 5.26603E-04 7.15033E-04 2.80189E-04 0.022164 9 4 10.0 45.0 135.0 2.44785E-02 1.86877E-04 5.44645E-04 7.31522E-04 2.77879E-04 0.022250 9 7 10.0 90.0 90.0 2.69575E-02 1.85091E-04 6.12474E-04 7.97564E-04 2.75223E-04 0.022720 8 1 20.0 0.0 180.0 2.32157E-02 1.92057E-04 5.15635E-04 7.07692E-04 2.85582E-04 0.022211 8 4 20.0 45.0 135.0 2.39516E-02 1.88621E-04 5.33008E-04 7.21629E-04 2.80473E-04 0.022254 8 7 20.0 90.0 90.0 2.75298E-02 1.85965E-04 6.23089E-04 8.09054E-04 2.76524E-04 0.022633 7 1 30.0 0.0 180.0 2.43621E-02 1.96793E-04 5.75150E-04 7.71943E-04 2.92623E-04 0.023608 7 4 30.0 45.0 135.0 2.47272E-02 1.94126E-04 5.81846E-04 7.75972E-04 2.88658E-04 0.023531 7 7 30.0 90.0 90.0 2.87036E-02 1.89514E-04 6.80058E-04 8.69572E-04 2.81800E-04 0.023692 6 1 40.0 0.0 180.0 2.76047E-02 2.01318E-04 7.85361E-04 9.86679E-04 2.99353E-04 0.028450 6 4 40.0 45.0 135.0 2.71594E-02 1.97245E-04 7.63336E-04 9.60580E-04 2.93296E-04 0.028106 6 7 40.0 90.0 90.0 3.08416E-02 1.91905E-04 8.62075E-04 1.05398E-03 2.85356E-04 0.027952 5 1 50.0 0.0 180.0 3.38332E-02 2.06451E-04 1.46345E-03 1.66990E-03 3.06985E-04 0.043255 5 4 50.0 45.0 135.0 3.19873E-02 2.00311E-04 1.36381E-03 1.56412E-03 2.97855E-04 0.042636 5 7 50.0 90.0 90.0 3.45958E-02 1.94945E-04 1.42882E-03 1.62377E-03 2.89877E-04 0.041301 4 1 60.0 0.0 180.0 4.50014E-02 2.05900E-04 3.74465E-03 3.95055E-03 3.06166E-04 0.083212 4 4 60.0 45.0 135.0 4.08539E-02 1.98704E-04 3.33697E-03 3.53568E-03 2.95466E-04 0.081681 4 7 60.0 90.0 90.0 4.12181E-02 1.95780E-04 3.25508E-03 3.45085E-03 2.91117E-04 0.078972 3 1 70.0 0.0 180.0 6.59754E-02 1.93285E-04 1.06920E-02 1.08853E-02 2.87408E-04 0.162060 3 4 70.0 45.0 135.0 5.77972E-02 1.87953E-04 9.38085E-03 9.56880E-03 2.79479E-04 0.162306 3 7 70.0 90.0 90.0 5.41255E-02 1.85770E-04 8.72108E-03 8.90685E-03 2.76233E-04 0.161127 2 1 80.0 0.0 180.0 1.11719E-01 1.67329E-04 2.68167E-02 2.69840E-02 2.48812E-04 0.240037 2 4 80.0 45.0 135.0 9.53515E-02 1.61908E-04 2.37896E-02 2.39515E-02 2.40751E-04 0.249493 2 7 80.0 90.0 90.0 8.28452E-02 1.60711E-04 2.15695E-02 2.17302E-02 2.38971E-04 0.260359 1 1 87.5 0.0 180.0 1.74833E-01 1.36217E-04 4.74192E-02 4.75554E-02 2.02550E-04 0.271225 1 4 87.5 45.0 135.0 1.47350E-01 1.25212E-04 4.33088E-02 4.34341E-02 1.86186E-04 0.293918 1 7 87.5 90.0 90.0 1.21821E-01 1.38408E-04 3.84904E-02 3.86288E-02 2.05808E-04 0.315959 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 665.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 7.962E-04 2.686E-02 1.112E-01 8.022E-02 7.848E-01 1.184E-03 6.815E+01 1.835E-04 2.729E-04 1 0.00 0.00 3.404E-04 4.845E-02 1.010E-03 1.159E-03 1.299E-02 5.492E-04 4.798E+00 3 3.54 5.00 6.923E-05 7.467E-03 1.039E-04 1.319E-04 3.992E-04 2.095E-03 3.713E+00 5 8.44 10.00 3.980E-05 9.363E-04 5.440E-05 5.814E-05 7.877E-05 2.153E-02 3.483E+00 7 14.62 15.00 1.741E-05 1.061E-04 2.451E-05 2.470E-05 2.528E-05 9.704E-02 3.496E+00 9 20.30 20.00 6.482E-06 1.966E-05 8.486E-06 8.492E-06 8.503E-06 1.515E-01 3.395E+00 11 24.89 25.00 3.100E-06 6.444E-06 3.827E-06 3.827E-06 3.828E-06 1.897E-01 3.332E+00 13 28.97 30.00 1.681E-06 2.965E-06 2.004E-06 2.004E-06 2.004E-06 2.100E-01 3.296E+00 15 32.79 35.00 9.339E-07 1.605E-06 1.149E-06 1.149E-06 1.149E-06 2.099E-01 3.321E+00 17 36.24 40.00 5.055E-07 8.582E-07 5.613E-07 5.613E-07 5.613E-07 2.177E-01 3.208E+00 19 39.39 45.00 3.164E-07 5.025E-07 3.745E-07 3.745E-07 3.745E-07 2.254E-01 3.267E+00 21 42.34 50.00 1.813E-07 2.920E-07 1.905E-07 1.905E-07 1.905E-07 2.295E-01 3.132E+00 Waveband 27 of 30 completed in 13.1 sec. * * * * * Output for wavelength band 28 (670.0 to 680.0 nm; nominal wavelength = 675.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 85.5 m at 675.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 670.0 nm to 680.0 nm: Ed(diffuse) = 2.508E-01 Ed(direct) = 4.127E-01 Ed(total) = 6.635E-01 Absorption Coefficients of Individual Components at 675.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.4480 0.0116 0.0000 0.0002 0.4599 3 3.645 5.000 0.4480 0.0153 0.0000 0.0003 0.4636 5 8.657 10.000 0.4480 0.0377 0.0000 0.0006 0.4863 7 14.974 15.000 0.4480 0.0420 0.0000 0.0007 0.4907 9 20.775 20.000 0.4480 0.0270 0.0000 0.0005 0.4755 11 25.477 25.000 0.4480 0.0205 0.0000 0.0004 0.4689 13 29.668 30.000 0.4480 0.0171 0.0000 0.0003 0.4654 15 33.592 35.000 0.4480 0.0153 0.0000 0.0003 0.4636 17 37.140 40.000 0.4480 0.0097 0.0000 0.0002 0.4579 19 40.393 45.000 0.4480 0.0097 0.0000 0.0002 0.4579 21 43.434 50.000 0.4480 0.0055 0.0000 0.0001 0.4536 Scattering Coefficients of Individual Components at 675.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0008 0.1131 0.1169 0.0000 0.2308 3 3.645 5.000 0.0008 0.1392 0.1630 0.0000 0.3029 5 8.657 10.000 0.0008 0.2634 0.4710 0.0000 0.7352 7 14.974 15.000 0.0008 0.2816 0.5318 0.0000 0.8142 9 20.775 20.000 0.0008 0.2100 0.3199 0.0000 0.5307 11 25.477 25.000 0.0008 0.1725 0.2310 0.0000 0.4042 13 29.668 30.000 0.0008 0.1509 0.1858 0.0000 0.3375 15 33.592 35.000 0.0008 0.1392 0.1630 0.0000 0.3029 17 37.140 40.000 0.0008 0.0984 0.0936 0.0000 0.1928 19 40.393 45.000 0.0008 0.0984 0.0936 0.0000 0.1928 21 43.434 50.000 0.0008 0.0631 0.0463 0.0000 0.1103 Backscattering Coefficients of Individual Components at 675.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00040 0.00159 0.00021 0.00000 0.00219 3 3.645 5.000 0.00040 0.00195 0.00029 0.00000 0.00263 5 8.657 10.000 0.00040 0.00369 0.00083 0.00000 0.00492 7 14.974 15.000 0.00040 0.00395 0.00094 0.00000 0.00528 9 20.775 20.000 0.00040 0.00294 0.00056 0.00000 0.00390 11 25.477 25.000 0.00040 0.00242 0.00041 0.00000 0.00322 13 29.668 30.000 0.00040 0.00212 0.00033 0.00000 0.00284 15 33.592 35.000 0.00040 0.00195 0.00029 0.00000 0.00263 17 37.140 40.000 0.00040 0.00138 0.00016 0.00000 0.00194 19 40.393 45.000 0.00040 0.00138 0.00016 0.00000 0.00194 21 43.434 50.000 0.00040 0.00089 0.00008 0.00000 0.00136 Summary of Inherent Optical Properties at 675.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.4599 0.2308 0.6907 0.3342 0.00219 0.00947 3 3.645 5.000 0.4636 0.3029 0.7665 0.3952 0.00263 0.00869 5 8.657 10.000 0.4863 0.7352 1.2215 0.6019 0.00492 0.00669 7 14.974 15.000 0.4907 0.8142 1.3050 0.6240 0.00528 0.00648 9 20.775 20.000 0.4755 0.5307 1.0062 0.5274 0.00390 0.00735 11 25.477 25.000 0.4689 0.4042 0.8731 0.4630 0.00322 0.00796 13 29.668 30.000 0.4654 0.3375 0.8029 0.4203 0.00284 0.00841 15 33.592 35.000 0.4636 0.3029 0.7665 0.3952 0.00263 0.00869 17 37.140 40.000 0.4579 0.1928 0.6506 0.2963 0.00194 0.01006 19 40.393 45.000 0.4579 0.1928 0.6506 0.2963 0.00194 0.01006 21 43.434 50.000 0.4536 0.1103 0.5639 0.1955 0.00136 0.01235 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 6.8325E-01 8 20.00 2.6868E-01 7 30.00 7.6647E-02 6 40.00 1.9998E-02 5 50.00 5.7323E-03 4 60.00 1.9907E-03 3 70.00 8.4420E-04 2 80.00 4.2279E-04 1 87.50 2.7410E-04 1 92.50 2.1373E-04 2 100.00 1.5873E-04 3 110.00 1.1849E-04 4 120.00 9.8119E-05 5 130.00 8.7638E-05 6 140.00 8.2234E-05 7 150.00 7.9519E-05 8 160.00 7.8242E-05 9 170.00 7.7686E-05 10 180.00 7.7437E-05 Asymptotic AOP values are MUu(inf) = 0.4077 MUd(inf) = 0.9317 MU(inf) = 0.9287 R(inf) = 0.0010 Lu(inf)/Ed(inf) = 0.000261 (1/sr) k(inf) = 0.4885 (1/m) absorp(check) = 0.4537 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 675.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.2782E-01 1.5014E+00 1.7292E+00 5.3672E-02 6.6353E-01 0.2356 0.4419 0.3527 8.0889E-02 1 0.00 0.00 5.0574E-03 8.0780E-01 8.1286E-01 1.9204E-03 6.1178E-01 0.3797 0.7573 0.7503 3.1391E-03 3 3.65 5.00 1.2001E-03 3.7879E-02 3.9079E-02 5.7087E-04 2.8749E-02 0.4757 0.7590 0.7211 1.9857E-02 5 8.66 10.00 9.4402E-04 2.6622E-03 3.6063E-03 4.5106E-04 1.7870E-03 0.4778 0.6712 0.3704 2.5241E-01 7 14.97 15.00 4.3735E-04 6.6961E-04 1.1070E-03 2.0631E-04 3.6967E-04 0.4717 0.5521 0.1476 5.5810E-01 9 20.78 20.00 1.4702E-04 2.2750E-04 3.7451E-04 7.0089E-05 1.2456E-04 0.4767 0.5475 0.1454 5.6271E-01 11 25.48 25.00 6.5085E-05 9.1247E-05 1.5633E-04 3.1287E-05 4.8972E-05 0.4807 0.5367 0.1131 6.3887E-01 13 29.67 30.00 3.3564E-05 4.4209E-05 7.7773E-05 1.6222E-05 2.3386E-05 0.4833 0.5290 0.0921 6.9369E-01 15 33.59 35.00 1.8364E-05 2.4254E-05 4.2618E-05 8.7841E-06 1.2709E-05 0.4783 0.5240 0.0921 6.9117E-01 17 37.14 40.00 8.5938E-06 1.1507E-05 2.0101E-05 4.2000E-06 6.1570E-06 0.4887 0.5351 0.0974 6.8215E-01 19 40.39 45.00 5.5271E-06 6.9979E-06 1.2525E-05 2.6480E-06 3.6296E-06 0.4791 0.5187 0.0784 7.2955E-01 21 43.43 50.00 2.6076E-06 3.4704E-06 6.0781E-06 1.2837E-06 1.8607E-06 0.4923 0.5362 0.0949 6.8990E-01 K-functions (units of 1/meter) at 675.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.46991 0.60696 0.60610 0.41554 0.61036 0.61098 0.36948 5.000 5.010 5.005 0.01499 0.60378 0.58565 0.00143 0.60164 0.61383 -0.00009 10.000 10.010 10.005 0.14662 0.39022 0.32639 0.14622 0.44731 0.54918 0.14584 15.000 15.010 15.005 0.21097 0.18767 0.19688 0.21363 0.20678 0.19812 0.21589 20.000 20.010 20.005 0.16490 0.23091 0.20499 0.16377 0.22851 0.31187 0.16329 25.000 25.010 25.005 0.13447 0.17288 0.15688 0.13395 0.17381 0.24437 0.13346 30.000 30.010 30.005 0.11436 0.13826 0.12795 0.11440 0.13909 0.19502 0.11544 35.000 35.010 35.005 0.15100 0.11619 0.13119 0.15227 0.11614 0.03533 0.15233 40.000 40.010 40.005 0.07821 0.17137 0.13153 0.07798 0.16749 0.35988 0.08011 45.000 45.010 45.005 0.14580 0.08046 0.10929 0.14759 0.08198 -0.09479 0.14766 50.000 50.010 50.005 0.06277 0.17651 0.12769 0.06205 0.16990 0.41026 0.06179 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 675.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 2.63532E-02 2.36606E-04 6.01170E-04 8.37776E-04 3.56586E-04 0.022812 9 1 10.0 0.0 180.0 2.33129E-02 2.41500E-04 5.16706E-04 7.58205E-04 3.63962E-04 0.022164 9 4 10.0 45.0 135.0 2.40185E-02 2.39907E-04 5.34409E-04 7.74316E-04 3.61561E-04 0.022250 9 7 10.0 90.0 90.0 2.64509E-02 2.38364E-04 6.00963E-04 8.39327E-04 3.59236E-04 0.022720 8 1 20.0 0.0 180.0 2.27793E-02 2.44711E-04 5.05944E-04 7.50655E-04 3.68801E-04 0.022211 8 4 20.0 45.0 135.0 2.35014E-02 2.41087E-04 5.22991E-04 7.64077E-04 3.63339E-04 0.022254 8 7 20.0 90.0 90.0 2.70124E-02 2.38930E-04 6.11378E-04 8.50309E-04 3.60090E-04 0.022633 7 1 30.0 0.0 180.0 2.39042E-02 2.49162E-04 5.64341E-04 8.13503E-04 3.75510E-04 0.023608 7 4 30.0 45.0 135.0 2.42625E-02 2.46905E-04 5.70911E-04 8.17815E-04 3.72108E-04 0.023531 7 7 30.0 90.0 90.0 2.81642E-02 2.42695E-04 6.67277E-04 9.09972E-04 3.65764E-04 0.023692 6 1 40.0 0.0 180.0 2.70859E-02 2.52653E-04 7.70601E-04 1.02325E-03 3.80771E-04 0.028450 6 4 40.0 45.0 135.0 2.66490E-02 2.49062E-04 7.48989E-04 9.98052E-04 3.75359E-04 0.028106 6 7 40.0 90.0 90.0 3.02620E-02 2.44256E-04 8.45873E-04 1.09013E-03 3.68116E-04 0.027952 5 1 50.0 0.0 180.0 3.31973E-02 2.57124E-04 1.43594E-03 1.69307E-03 3.87509E-04 0.043255 5 4 50.0 45.0 135.0 3.13862E-02 2.51257E-04 1.33818E-03 1.58944E-03 3.78667E-04 0.042636 5 7 50.0 90.0 90.0 3.39456E-02 2.46368E-04 1.40197E-03 1.64834E-03 3.71298E-04 0.041301 4 1 60.0 0.0 180.0 4.41556E-02 2.54511E-04 3.67427E-03 3.92878E-03 3.83571E-04 0.083212 4 4 60.0 45.0 135.0 4.00862E-02 2.47557E-04 3.27426E-03 3.52182E-03 3.73090E-04 0.081681 4 7 60.0 90.0 90.0 4.04429E-02 2.45489E-04 3.19390E-03 3.43939E-03 3.69975E-04 0.078973 3 1 70.0 0.0 180.0 6.47355E-02 2.37026E-04 1.04910E-02 1.07281E-02 3.57220E-04 0.162060 3 4 70.0 45.0 135.0 5.67109E-02 2.32361E-04 9.20455E-03 9.43691E-03 3.50189E-04 0.162307 3 7 70.0 90.0 90.0 5.31083E-02 2.30549E-04 8.55717E-03 8.78772E-03 3.47458E-04 0.161127 2 1 80.0 0.0 180.0 1.09619E-01 2.03687E-04 2.63127E-02 2.65164E-02 3.06974E-04 0.240037 2 4 80.0 45.0 135.0 9.35594E-02 1.98672E-04 2.33425E-02 2.35411E-02 2.99417E-04 0.249493 2 7 80.0 90.0 90.0 8.12882E-02 1.97461E-04 2.11641E-02 2.13615E-02 2.97591E-04 0.260359 1 1 87.5 0.0 180.0 1.71547E-01 1.64594E-04 4.65280E-02 4.66926E-02 2.48058E-04 0.271225 1 4 87.5 45.0 135.0 1.44581E-01 1.52497E-04 4.24949E-02 4.26474E-02 2.29826E-04 0.293918 1 7 87.5 90.0 90.0 1.19531E-01 1.68185E-04 3.77670E-02 3.79352E-02 2.53471E-04 0.315959 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 675.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 8.378E-04 2.635E-02 1.091E-01 7.873E-02 7.735E-01 1.263E-03 6.406E+01 2.366E-04 3.566E-04 1 0.00 0.00 4.390E-04 4.754E-02 1.111E-03 1.255E-03 1.284E-02 7.175E-04 4.375E+00 3 3.65 5.00 1.736E-04 6.653E-03 1.889E-04 2.115E-04 4.263E-04 6.039E-03 3.288E+00 5 8.66 10.00 1.321E-04 8.473E-04 1.689E-04 1.715E-04 1.855E-04 7.391E-02 3.415E+00 7 14.97 15.00 5.876E-05 1.578E-04 8.268E-05 8.279E-05 8.312E-05 1.589E-01 3.511E+00 9 20.78 20.00 2.041E-05 4.899E-05 2.729E-05 2.729E-05 2.730E-05 1.639E-01 3.434E+00 11 25.48 25.00 9.253E-06 1.845E-05 1.175E-05 1.175E-05 1.175E-05 1.889E-01 3.381E+00 13 29.67 30.00 4.840E-06 8.492E-06 5.950E-06 5.950E-06 5.950E-06 2.070E-01 3.352E+00 15 33.59 35.00 2.577E-06 4.504E-06 3.348E-06 3.348E-06 3.348E-06 2.028E-01 3.409E+00 17 37.14 40.00 1.280E-06 2.257E-06 1.481E-06 1.481E-06 1.481E-06 2.079E-01 3.281E+00 19 40.39 45.00 7.805E-07 1.267E-06 1.002E-06 1.002E-06 1.002E-06 2.150E-01 3.393E+00 21 43.43 50.00 3.987E-07 6.815E-07 4.416E-07 4.416E-07 4.416E-07 2.143E-01 3.220E+00 Waveband 28 of 30 completed in 13.3 sec. * * * * * Output for wavelength band 29 (680.0 to 690.0 nm; nominal wavelength = 685.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 83.4 m at 685.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 680.0 nm to 690.0 nm: Ed(diffuse) = 2.247E-01 Ed(direct) = 3.728E-01 Ed(total) = 5.974E-01 Absorption Coefficients of Individual Components at 685.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.4860 0.0073 0.0000 0.0002 0.4935 3 3.805 5.000 0.4860 0.0098 0.0000 0.0003 0.4961 5 8.960 10.000 0.4860 0.0258 0.0000 0.0005 0.5123 7 15.404 15.000 0.4860 0.0290 0.0000 0.0006 0.5156 9 21.338 20.000 0.4860 0.0181 0.0000 0.0004 0.5045 11 26.185 25.000 0.4860 0.0135 0.0000 0.0003 0.4998 13 30.528 30.000 0.4860 0.0111 0.0000 0.0003 0.4973 15 34.608 35.000 0.4860 0.0098 0.0000 0.0003 0.4961 17 38.318 40.000 0.4860 0.0060 0.0000 0.0002 0.4922 19 41.737 45.000 0.4860 0.0060 0.0000 0.0002 0.4922 21 44.949 50.000 0.4860 0.0033 0.0000 0.0001 0.4894 Scattering Coefficients of Individual Components at 685.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0007 0.1126 0.1164 0.0000 0.2298 3 3.805 5.000 0.0007 0.1387 0.1624 0.0000 0.3019 5 8.960 10.000 0.0007 0.2634 0.4710 0.0000 0.7351 7 15.404 15.000 0.0007 0.2816 0.5318 0.0000 0.8142 9 21.338 20.000 0.0007 0.2097 0.3196 0.0000 0.5300 11 26.185 25.000 0.0007 0.1721 0.2304 0.0000 0.4033 13 30.528 30.000 0.0007 0.1505 0.1852 0.0000 0.3364 15 34.608 35.000 0.0007 0.1387 0.1624 0.0000 0.3019 17 38.318 40.000 0.0007 0.0979 0.0931 0.0000 0.1917 19 41.737 45.000 0.0007 0.0979 0.0931 0.0000 0.1917 21 44.949 50.000 0.0007 0.0627 0.0460 0.0000 0.1094 Backscattering Coefficients of Individual Components at 685.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00037 0.00158 0.00020 0.00000 0.00215 3 3.805 5.000 0.00037 0.00194 0.00029 0.00000 0.00260 5 8.960 10.000 0.00037 0.00369 0.00083 0.00000 0.00489 7 15.404 15.000 0.00037 0.00395 0.00094 0.00000 0.00526 9 21.338 20.000 0.00037 0.00294 0.00056 0.00000 0.00387 11 26.185 25.000 0.00037 0.00241 0.00041 0.00000 0.00319 13 30.528 30.000 0.00037 0.00211 0.00033 0.00000 0.00281 15 34.608 35.000 0.00037 0.00194 0.00029 0.00000 0.00260 17 38.318 40.000 0.00037 0.00137 0.00016 0.00000 0.00191 19 41.737 45.000 0.00037 0.00137 0.00016 0.00000 0.00191 21 44.949 50.000 0.00037 0.00088 0.00008 0.00000 0.00133 Summary of Inherent Optical Properties at 685.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.4935 0.2298 0.7233 0.3177 0.00215 0.00938 3 3.805 5.000 0.4961 0.3019 0.7980 0.3783 0.00260 0.00862 5 8.960 10.000 0.5123 0.7351 1.2474 0.5893 0.00489 0.00665 7 15.404 15.000 0.5156 0.8142 1.3298 0.6123 0.00526 0.00645 9 21.338 20.000 0.5045 0.5300 1.0345 0.5123 0.00387 0.00731 11 26.185 25.000 0.4998 0.4033 0.9031 0.4466 0.00319 0.00791 13 30.528 30.000 0.4973 0.3364 0.8338 0.4035 0.00281 0.00834 15 34.608 35.000 0.4961 0.3019 0.7980 0.3783 0.00260 0.00862 17 38.318 40.000 0.4922 0.1917 0.6839 0.2803 0.00191 0.00995 19 41.737 45.000 0.4922 0.1917 0.6839 0.2803 0.00191 0.00995 21 44.949 50.000 0.4894 0.1094 0.5988 0.1827 0.00133 0.01216 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 6.6761E-01 8 20.00 2.5047E-01 7 30.00 6.8159E-02 6 40.00 1.7208E-02 5 50.00 4.8630E-03 4 60.00 1.6867E-03 3 70.00 7.1740E-04 2 80.00 3.6003E-04 1 87.50 2.3353E-04 1 92.50 1.8219E-04 2 100.00 1.3533E-04 3 110.00 1.0107E-04 4 120.00 8.3740E-05 5 130.00 7.4827E-05 6 140.00 7.0229E-05 7 150.00 6.7918E-05 8 160.00 6.6832E-05 9 170.00 6.6359E-05 10 180.00 6.6149E-05 Asymptotic AOP values are MUu(inf) = 0.4079 MUd(inf) = 0.9349 MU(inf) = 0.9322 R(inf) = 0.0009 Lu(inf)/Ed(inf) = 0.000235 (1/sr) k(inf) = 0.5251 (1/m) absorp(check) = 0.4895 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 685.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.0481E-01 1.3510E+00 1.5558E+00 4.8264E-02 5.9744E-01 0.2357 0.4422 0.3530 8.0786E-02 1 0.00 0.00 4.2816E-03 7.2718E-01 7.3146E-01 1.6322E-03 5.5081E-01 0.3812 0.7575 0.7508 2.9632E-03 3 3.81 5.00 1.0333E-03 2.7663E-02 2.8697E-02 5.0160E-04 2.1040E-02 0.4854 0.7606 0.7157 2.3840E-02 5 8.96 10.00 9.0865E-04 1.9885E-03 2.8972E-03 4.3627E-04 1.2763E-03 0.4801 0.6418 0.2899 3.4182E-01 7 15.40 15.00 4.2616E-04 6.1620E-04 1.0424E-03 2.0125E-04 3.3203E-04 0.4722 0.5388 0.1255 6.0612E-01 9 21.34 20.00 1.3754E-04 2.0988E-04 3.4742E-04 6.5646E-05 1.1440E-04 0.4773 0.5451 0.1403 5.7383E-01 11 26.19 25.00 5.9355E-05 8.2191E-05 1.4155E-04 2.8568E-05 4.3981E-05 0.4813 0.5351 0.1089 6.4956E-01 13 30.53 30.00 3.0096E-05 3.9162E-05 6.9259E-05 1.4566E-05 2.0660E-05 0.4840 0.5275 0.0880 7.0504E-01 15 34.61 35.00 1.6262E-05 2.1263E-05 3.7526E-05 7.7837E-06 1.1113E-05 0.4786 0.5226 0.0887 7.0043E-01 17 38.32 40.00 7.3191E-06 9.7222E-06 1.7041E-05 3.5819E-06 5.1965E-06 0.4894 0.5345 0.0947 6.8929E-01 19 41.74 45.00 4.6911E-06 5.8804E-06 1.0572E-05 2.2480E-06 3.0406E-06 0.4792 0.5171 0.0750 7.3932E-01 21 44.95 50.00 2.1086E-06 2.7931E-06 4.9016E-06 1.0389E-06 1.4969E-06 0.4927 0.5359 0.0935 6.9400E-01 K-functions (units of 1/meter) at 685.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.50801 0.65250 0.65165 0.44019 0.65460 0.65524 0.38525 5.000 5.010 5.005 -0.02021 0.63976 0.61592 -0.03045 0.63851 0.65490 -0.02696 10.000 10.010 10.005 0.14109 0.33114 0.27150 0.14188 0.39968 0.53383 0.14255 15.000 15.010 15.005 0.21723 0.16716 0.18762 0.22016 0.17876 0.11510 0.22269 20.000 20.010 20.005 0.16950 0.23924 0.21163 0.16831 0.23562 0.32632 0.16794 25.000 25.010 25.005 0.13763 0.17834 0.16127 0.13713 0.17903 0.25673 0.13673 30.000 30.010 30.005 0.11634 0.14182 0.13075 0.11636 0.14253 0.20510 0.11738 35.000 35.010 35.005 0.15750 0.11840 0.13534 0.15898 0.11823 0.02300 0.15944 40.000 40.010 40.005 0.07835 0.18162 0.13726 0.07803 0.17767 0.39905 0.08007 45.000 45.010 45.005 0.15343 0.08034 0.11277 0.15544 0.08163 -0.12742 0.15615 50.000 50.010 50.005 0.06296 0.18960 0.13510 0.06226 0.18279 0.45670 0.06204 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 685.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 2.36064E-02 2.02742E-04 5.38508E-04 7.41250E-04 3.39353E-04 0.022812 9 1 10.0 0.0 180.0 2.08830E-02 2.06790E-04 4.62848E-04 6.69638E-04 3.46130E-04 0.022164 9 4 10.0 45.0 135.0 2.15150E-02 2.05467E-04 4.78706E-04 6.84173E-04 3.43915E-04 0.022250 9 7 10.0 90.0 90.0 2.36938E-02 2.04225E-04 5.38322E-04 7.42548E-04 3.41837E-04 0.022720 8 1 20.0 0.0 180.0 2.04050E-02 2.09399E-04 4.53208E-04 6.62606E-04 3.50496E-04 0.022211 8 4 20.0 45.0 135.0 2.10518E-02 2.06372E-04 4.68478E-04 6.74850E-04 3.45430E-04 0.022254 8 7 20.0 90.0 90.0 2.41968E-02 2.04658E-04 5.47653E-04 7.52311E-04 3.42561E-04 0.022633 7 1 30.0 0.0 180.0 2.14126E-02 2.13055E-04 5.05518E-04 7.18572E-04 3.56615E-04 0.023608 7 4 30.0 45.0 135.0 2.17335E-02 2.11234E-04 5.11403E-04 7.22637E-04 3.53569E-04 0.023531 7 7 30.0 90.0 90.0 2.52285E-02 2.07810E-04 5.97725E-04 8.05535E-04 3.47838E-04 0.023692 6 1 40.0 0.0 180.0 2.42627E-02 2.15826E-04 6.90279E-04 9.06105E-04 3.61255E-04 0.028450 6 4 40.0 45.0 135.0 2.38713E-02 2.12909E-04 6.70920E-04 8.83829E-04 3.56372E-04 0.028106 6 7 40.0 90.0 90.0 2.71077E-02 2.09014E-04 7.57705E-04 9.66719E-04 3.49852E-04 0.027952 5 1 50.0 0.0 180.0 2.97371E-02 2.19466E-04 1.28627E-03 1.50573E-03 3.67347E-04 0.043255 5 4 50.0 45.0 135.0 2.81147E-02 2.14634E-04 1.19870E-03 1.41333E-03 3.59259E-04 0.042636 5 7 50.0 90.0 90.0 3.04073E-02 2.10672E-04 1.25584E-03 1.46651E-03 3.52628E-04 0.041300 4 1 60.0 0.0 180.0 3.95532E-02 2.17063E-04 3.29129E-03 3.50835E-03 3.63325E-04 0.083212 4 4 60.0 45.0 135.0 3.59080E-02 2.11324E-04 2.93297E-03 3.14430E-03 3.53719E-04 0.081680 4 7 60.0 90.0 90.0 3.62269E-02 2.09760E-04 2.86098E-03 3.07074E-03 3.51100E-04 0.078974 3 1 70.0 0.0 180.0 5.79879E-02 2.01986E-04 9.39752E-03 9.59951E-03 3.38089E-04 0.162060 3 4 70.0 45.0 135.0 5.07998E-02 1.98201E-04 8.24513E-03 8.44333E-03 3.31753E-04 0.162307 3 7 70.0 90.0 90.0 4.75726E-02 1.96800E-04 7.66522E-03 7.86202E-03 3.29407E-04 0.161127 2 1 80.0 0.0 180.0 9.81934E-02 1.73447E-04 2.35700E-02 2.37435E-02 2.90319E-04 0.240037 2 4 80.0 45.0 135.0 8.38074E-02 1.69342E-04 2.09094E-02 2.10787E-02 2.83448E-04 0.249493 2 7 80.0 90.0 90.0 7.28153E-02 1.68395E-04 1.89581E-02 1.91265E-02 2.81863E-04 0.260359 1 1 87.5 0.0 180.0 1.53666E-01 1.40057E-04 4.16782E-02 4.18183E-02 2.34430E-04 0.271225 1 4 87.5 45.0 135.0 1.29511E-01 1.29891E-04 3.80655E-02 3.81954E-02 2.17415E-04 0.293918 1 7 87.5 90.0 90.0 1.07072E-01 1.43280E-04 3.38304E-02 3.39737E-02 2.39825E-04 0.315959 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 685.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 7.412E-04 2.361E-02 9.774E-02 7.052E-02 6.958E-01 1.241E-03 6.511E+01 2.027E-04 3.394E-04 1 0.00 0.00 3.762E-04 4.258E-02 9.502E-04 1.071E-03 1.138E-02 6.829E-04 4.339E+00 3 3.81 5.00 1.564E-04 5.035E-03 1.585E-04 1.736E-04 3.158E-04 7.433E-03 3.207E+00 5 8.96 10.00 1.286E-04 5.934E-04 1.611E-04 1.626E-04 1.704E-04 1.007E-01 3.394E+00 7 15.40 15.00 5.740E-05 1.314E-04 8.030E-05 8.036E-05 8.052E-05 1.729E-01 3.506E+00 9 21.34 20.00 1.915E-05 4.407E-05 2.543E-05 2.543E-05 2.543E-05 1.674E-01 3.427E+00 11 26.19 25.00 8.466E-06 1.641E-05 1.067E-05 1.067E-05 1.067E-05 1.925E-01 3.375E+00 13 30.53 30.00 4.356E-06 7.446E-06 5.311E-06 5.311E-06 5.311E-06 2.108E-01 3.344E+00 15 34.61 35.00 2.284E-06 3.912E-06 2.957E-06 2.957E-06 2.957E-06 2.056E-01 3.407E+00 17 38.32 40.00 1.094E-06 1.900E-06 1.256E-06 1.256E-06 1.256E-06 2.106E-01 3.273E+00 19 41.74 45.00 6.621E-07 1.053E-06 8.488E-07 8.488E-07 8.488E-07 2.178E-01 3.395E+00 21 44.95 50.00 3.229E-07 5.475E-07 3.560E-07 3.560E-07 3.560E-07 2.157E-01 3.217E+00 Waveband 29 of 30 completed in 13.5 sec. * * * * * Output for wavelength band 30 (690.0 to 700.0 nm; nominal wavelength = 695.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 79.9 m at 695.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 690.0 nm to 700.0 nm: Ed(diffuse) = 2.145E-01 Ed(direct) = 3.589E-01 Ed(total) = 5.734E-01 Absorption Coefficients of Individual Components at 695.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.5590 0.0028 0.0000 0.0002 0.5620 3 4.139 5.000 0.5590 0.0040 0.0000 0.0002 0.5632 5 9.604 10.000 0.5590 0.0115 0.0000 0.0005 0.5710 7 16.337 15.000 0.5590 0.0131 0.0000 0.0005 0.5727 9 22.569 20.000 0.5590 0.0078 0.0000 0.0004 0.5671 11 27.732 25.000 0.5590 0.0056 0.0000 0.0003 0.5649 13 32.399 30.000 0.5590 0.0045 0.0000 0.0003 0.5638 15 36.807 35.000 0.5590 0.0040 0.0000 0.0002 0.5632 17 40.853 40.000 0.5590 0.0023 0.0000 0.0002 0.5615 19 44.613 45.000 0.5590 0.0023 0.0000 0.0002 0.5615 21 48.170 50.000 0.5590 0.0012 0.0000 0.0001 0.5603 Scattering Coefficients of Individual Components at 695.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0007 0.1121 0.1159 0.0000 0.2287 3 4.139 5.000 0.0007 0.1382 0.1619 0.0000 0.3008 5 9.604 10.000 0.0007 0.2634 0.4710 0.0000 0.7351 7 16.337 15.000 0.0007 0.2816 0.5318 0.0000 0.8142 9 22.569 20.000 0.0007 0.2095 0.3192 0.0000 0.5294 11 27.732 25.000 0.0007 0.1717 0.2299 0.0000 0.4023 13 32.399 30.000 0.0007 0.1500 0.1847 0.0000 0.3354 15 36.807 35.000 0.0007 0.1382 0.1619 0.0000 0.3008 17 40.853 40.000 0.0007 0.0974 0.0926 0.0000 0.1907 19 44.613 45.000 0.0007 0.0974 0.0926 0.0000 0.1907 21 48.170 50.000 0.0007 0.0622 0.0456 0.0000 0.1086 Backscattering Coefficients of Individual Components at 695.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00035 0.00157 0.00020 0.00000 0.00212 3 4.139 5.000 0.00035 0.00194 0.00028 0.00000 0.00257 5 9.604 10.000 0.00035 0.00369 0.00083 0.00000 0.00487 7 16.337 15.000 0.00035 0.00395 0.00094 0.00000 0.00523 9 22.569 20.000 0.00035 0.00294 0.00056 0.00000 0.00385 11 27.732 25.000 0.00035 0.00241 0.00040 0.00000 0.00316 13 32.399 30.000 0.00035 0.00210 0.00033 0.00000 0.00278 15 36.807 35.000 0.00035 0.00194 0.00028 0.00000 0.00257 17 40.853 40.000 0.00035 0.00137 0.00016 0.00000 0.00188 19 44.613 45.000 0.00035 0.00137 0.00016 0.00000 0.00188 21 48.170 50.000 0.00035 0.00087 0.00008 0.00000 0.00130 Summary of Inherent Optical Properties at 695.0 nm iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.5620 0.2287 0.7908 0.2892 0.00212 0.00929 3 4.139 5.000 0.5632 0.3008 0.8640 0.3482 0.00257 0.00855 5 9.604 10.000 0.5710 0.7351 1.3061 0.5628 0.00487 0.00662 7 16.337 15.000 0.5727 0.8142 1.3868 0.5871 0.00523 0.00643 9 22.569 20.000 0.5671 0.5294 1.0965 0.4828 0.00385 0.00727 11 27.732 25.000 0.5649 0.4023 0.9672 0.4160 0.00316 0.00785 13 32.399 30.000 0.5638 0.3354 0.8992 0.3730 0.00278 0.00828 15 36.807 35.000 0.5632 0.3008 0.8640 0.3482 0.00257 0.00855 17 40.853 40.000 0.5615 0.1907 0.7522 0.2536 0.00188 0.00984 19 44.613 45.000 0.5615 0.1907 0.7522 0.2536 0.00188 0.00984 21 48.170 50.000 0.5603 0.1086 0.6688 0.1623 0.00130 0.01198 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 6.3917E-01 8 20.00 2.2030E-01 7 30.00 5.5253E-02 6 40.00 1.3225E-02 5 50.00 3.6638E-03 4 60.00 1.2722E-03 3 70.00 5.4490E-04 2 80.00 2.7479E-04 1 87.50 1.7860E-04 1 92.50 1.3955E-04 2 100.00 1.0382E-04 3 110.00 7.7720E-05 4 120.00 6.4550E-05 5 130.00 5.7782E-05 6 140.00 5.4296E-05 7 150.00 5.2549E-05 8 160.00 5.1735E-05 9 170.00 5.1383E-05 10 180.00 5.1225E-05 Asymptotic AOP values are MUu(inf) = 0.4090 MUd(inf) = 0.9401 MU(inf) = 0.9377 R(inf) = 0.0008 Lu(inf)/Ed(inf) = 0.000200 (1/sr) k(inf) = 0.5976 (1/m) absorp(check) = 0.5604 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 695.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.9589E-01 1.2959E+00 1.4918E+00 4.6065E-02 5.7338E-01 0.2352 0.4425 0.3535 8.0339E-02 1 0.00 0.00 2.9661E-03 6.9706E-01 7.0003E-01 1.0637E-03 5.2838E-01 0.3586 0.7580 0.7533 2.0131E-03 3 4.14 5.00 3.2551E-04 1.6841E-02 1.7167E-02 1.5267E-04 1.2982E-02 0.4690 0.7708 0.7473 1.1760E-02 5 9.60 10.00 2.6067E-04 7.0471E-04 9.6537E-04 1.2562E-04 4.7762E-04 0.4819 0.6778 0.3646 2.6300E-01 7 16.34 15.00 1.2296E-04 1.7444E-04 2.9740E-04 5.8364E-05 9.4162E-05 0.4747 0.5398 0.1204 6.1982E-01 9 22.57 20.00 3.8751E-05 5.6938E-05 9.5688E-05 1.8614E-05 3.0877E-05 0.4803 0.5423 0.1282 6.0282E-01 11 27.73 25.00 1.6555E-05 2.2113E-05 3.8668E-05 8.0210E-06 1.1765E-05 0.4845 0.5321 0.0968 6.8176E-01 13 32.40 30.00 8.3195E-06 1.0517E-05 1.8836E-05 4.0539E-06 5.5288E-06 0.4873 0.5257 0.0783 7.3323E-01 15 36.81 35.00 4.4725E-06 5.6810E-06 1.0154E-05 2.1596E-06 2.9644E-06 0.4829 0.5218 0.0793 7.2850E-01 17 40.85 40.00 2.0100E-06 2.5800E-06 4.5900E-06 9.9098E-07 1.3743E-06 0.4930 0.5327 0.0835 7.2107E-01 19 44.61 45.00 1.2736E-06 1.5569E-06 2.8305E-06 6.1726E-07 8.0610E-07 0.4846 0.5178 0.0667 7.6574E-01 21 48.17 50.00 5.8161E-07 7.4139E-07 1.3230E-06 2.8891E-07 3.9615E-07 0.4967 0.5343 0.0811 7.2929E-01 K-functions (units of 1/meter) at 695.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.68067 0.74550 0.74523 0.61325 0.74515 0.74542 0.57478 5.000 5.010 5.005 0.05695 0.73139 0.71856 0.02655 0.72587 0.73422 0.00809 10.000 10.010 10.005 0.14203 0.43677 0.35710 0.14175 0.50861 0.63985 0.14138 15.000 15.010 15.005 0.22198 0.17371 0.19366 0.22454 0.18990 0.13345 0.22639 20.000 20.010 20.005 0.17117 0.24645 0.21596 0.16997 0.24372 0.35576 0.16922 25.000 25.010 25.005 0.13913 0.17969 0.16233 0.13855 0.18017 0.26938 0.13790 30.000 30.010 30.005 0.11806 0.14288 0.13192 0.11795 0.14323 0.21275 0.11845 35.000 35.010 35.005 0.15783 0.12008 0.13671 0.15877 0.11967 0.01484 0.15847 40.000 40.010 40.005 0.08261 0.18006 0.13737 0.08224 0.17689 0.42200 0.08361 45.000 45.010 45.005 0.15126 0.08353 0.11400 0.15245 0.08416 -0.13875 0.15200 50.000 50.010 50.005 0.07026 0.18206 0.13289 0.06977 0.17690 0.46609 0.06982 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 695.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 2.25369E-02 1.20270E-04 5.14111E-04 6.34381E-04 2.09758E-04 0.022812 9 1 10.0 0.0 180.0 1.99369E-02 1.23316E-04 4.41878E-04 5.65195E-04 2.15071E-04 0.022164 9 4 10.0 45.0 135.0 2.05402E-02 1.22346E-04 4.57018E-04 5.79364E-04 2.13379E-04 0.022250 9 7 10.0 90.0 90.0 2.26204E-02 1.21272E-04 5.13934E-04 6.35205E-04 2.11505E-04 0.022720 8 1 20.0 0.0 180.0 1.94805E-02 1.25555E-04 4.32675E-04 5.58230E-04 2.18975E-04 0.022211 8 4 20.0 45.0 135.0 2.00980E-02 1.23391E-04 4.47253E-04 5.70644E-04 2.15201E-04 0.022254 8 7 20.0 90.0 90.0 2.31006E-02 1.21809E-04 5.22841E-04 6.44650E-04 2.12442E-04 0.022633 7 1 30.0 0.0 180.0 2.04425E-02 1.28511E-04 4.82615E-04 6.11126E-04 2.24130E-04 0.023608 7 4 30.0 45.0 135.0 2.07489E-02 1.26887E-04 4.88234E-04 6.15121E-04 2.21299E-04 0.023531 7 7 30.0 90.0 90.0 2.40855E-02 1.24082E-04 5.70645E-04 6.94727E-04 2.16406E-04 0.023692 6 1 40.0 0.0 180.0 2.31635E-02 1.31281E-04 6.59006E-04 7.90287E-04 2.28962E-04 0.028450 6 4 40.0 45.0 135.0 2.27898E-02 1.28782E-04 6.40524E-04 7.69306E-04 2.24603E-04 0.028106 6 7 40.0 90.0 90.0 2.58796E-02 1.25552E-04 7.23377E-04 8.48929E-04 2.18969E-04 0.027952 5 1 50.0 0.0 180.0 2.83898E-02 1.34482E-04 1.22799E-03 1.36248E-03 2.34544E-04 0.043255 5 4 50.0 45.0 135.0 2.68409E-02 1.30663E-04 1.14439E-03 1.27505E-03 2.27883E-04 0.042636 5 7 50.0 90.0 90.0 2.90297E-02 1.27431E-04 1.19894E-03 1.32637E-03 2.22247E-04 0.041300 4 1 60.0 0.0 180.0 3.77612E-02 1.33985E-04 3.14218E-03 3.27616E-03 2.33677E-04 0.083212 4 4 60.0 45.0 135.0 3.42812E-02 1.29499E-04 2.80010E-03 2.92960E-03 2.25853E-04 0.081680 4 7 60.0 90.0 90.0 3.45852E-02 1.27857E-04 2.73136E-03 2.85922E-03 2.22991E-04 0.078975 3 1 70.0 0.0 180.0 5.53607E-02 1.25648E-04 8.97177E-03 9.09742E-03 2.19138E-04 0.162060 3 4 70.0 45.0 135.0 4.84983E-02 1.22380E-04 7.87159E-03 7.99397E-03 2.13437E-04 0.162307 3 7 70.0 90.0 90.0 4.54173E-02 1.21179E-04 7.31794E-03 7.43912E-03 2.11342E-04 0.161127 2 1 80.0 0.0 180.0 9.37447E-02 1.08679E-04 2.25022E-02 2.26109E-02 1.89543E-04 0.240037 2 4 80.0 45.0 135.0 8.00105E-02 1.05335E-04 1.99621E-02 2.00674E-02 1.83710E-04 0.249493 2 7 80.0 90.0 90.0 6.95164E-02 1.04720E-04 1.80992E-02 1.82039E-02 1.82637E-04 0.260358 1 1 87.5 0.0 180.0 1.46705E-01 8.84043E-05 3.97900E-02 3.98784E-02 1.54182E-04 0.271225 1 4 87.5 45.0 135.0 1.23643E-01 8.14012E-05 3.63410E-02 3.64224E-02 1.41968E-04 0.293918 1 7 87.5 90.0 90.0 1.02221E-01 9.00891E-05 3.22977E-02 3.23878E-02 1.57120E-04 0.315959 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 695.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 6.344E-04 2.254E-02 9.329E-02 6.730E-02 6.671E-01 1.106E-03 7.261E+01 1.203E-04 2.098E-04 1 0.00 0.00 2.231E-04 4.065E-02 6.961E-04 7.954E-04 1.050E-02 4.222E-04 4.768E+00 3 4.14 5.00 4.641E-05 3.323E-03 5.173E-05 5.976E-05 1.336E-04 3.575E-03 3.289E+00 5 9.60 10.00 3.738E-05 2.505E-04 4.572E-05 4.626E-05 4.904E-05 7.826E-02 3.361E+00 7 16.34 15.00 1.683E-05 3.834E-05 2.286E-05 2.287E-05 2.291E-05 1.787E-01 3.468E+00 9 22.57 20.00 5.508E-06 1.180E-05 7.040E-06 7.041E-06 7.041E-06 1.784E-01 3.379E+00 11 27.73 25.00 2.414E-06 4.329E-06 2.925E-06 2.925E-06 2.925E-06 2.052E-01 3.322E+00 13 32.40 30.00 1.233E-06 1.976E-06 1.444E-06 1.444E-06 1.444E-06 2.231E-01 3.287E+00 15 36.81 35.00 6.472E-07 1.041E-06 7.961E-07 7.961E-07 7.961E-07 2.183E-01 3.337E+00 17 40.85 40.00 3.091E-07 5.010E-07 3.388E-07 3.388E-07 3.388E-07 2.249E-01 3.206E+00 19 44.61 45.00 1.869E-07 2.801E-07 2.245E-07 2.245E-07 2.245E-07 2.318E-01 3.303E+00 21 48.17 50.00 9.193E-08 1.451E-07 9.635E-08 9.635E-08 9.635E-08 2.321E-01 3.143E+00 Waveband 30 of 30 completed in 14.3 sec. Energy Eo as a function of depth and wavelength Units are W/m^2 [values are integrated over the wavelength bands] depth 405.0 415.0 425.0 435.0 445.0 455.0 465.0 475.0 485.0 495.0 505.0 515.0 525.0 535.0 545.0 555.0 565.0 575.0 585.0 595.0 605.0 615.0 625.0 635.0 645.0 655.0 665.0 675.0 685.0 695.0 in air 1.534E+01 1.630E+01 1.565E+01 1.613E+01 1.908E+01 2.047E+01 2.044E+01 2.081E+01 2.018E+01 2.053E+01 2.014E+01 1.938E+01 1.980E+01 2.000E+01 1.971E+01 1.954E+01 1.931E+01 1.927E+01 1.875E+01 1.790E+01 1.862E+01 1.827E+01 1.807E+01 1.793E+01 1.739E+01 1.664E+01 1.754E+01 1.729E+01 1.556E+01 1.492E+01 0.0 7.713E+00 8.200E+00 7.875E+00 8.117E+00 9.613E+00 1.037E+01 1.045E+01 1.071E+01 1.043E+01 1.063E+01 1.036E+01 9.778E+00 1.002E+01 1.010E+01 9.896E+00 9.719E+00 9.565E+00 9.432E+00 9.009E+00 8.479E+00 8.745E+00 8.583E+00 8.491E+00 8.425E+00 8.167E+00 7.812E+00 8.228E+00 8.129E+00 7.315E+00 7.000E+00 5.0 5.527E+00 5.887E+00 5.659E+00 5.814E+00 6.904E+00 7.562E+00 7.777E+00 8.103E+00 7.973E+00 8.166E+00 7.808E+00 6.907E+00 7.138E+00 7.147E+00 6.803E+00 6.368E+00 6.122E+00 5.526E+00 4.185E+00 2.651E+00 1.483E+00 1.360E+00 1.212E+00 1.066E+00 8.813E-01 6.193E-01 4.399E-01 3.908E-01 2.870E-01 1.717E-01 10.0 2.788E+00 2.971E+00 2.885E+00 2.968E+00 3.611E+00 4.119E+00 4.392E+00 4.745E+00 4.804E+00 5.021E+00 4.805E+00 4.061E+00 4.293E+00 4.322E+00 4.042E+00 3.650E+00 3.463E+00 2.877E+00 1.734E+00 7.478E-01 2.343E-01 2.010E-01 1.620E-01 1.272E-01 9.077E-02 4.840E-02 2.781E-02 3.606E-02 2.897E-02 9.654E-03 15.0 1.067E+00 1.134E+00 1.117E+00 1.152E+00 1.453E+00 1.748E+00 1.946E+00 2.201E+00 2.312E+00 2.481E+00 2.395E+00 1.951E+00 2.120E+00 2.158E+00 1.994E+00 1.751E+00 1.651E+00 1.272E+00 6.197E-01 1.881E-01 3.529E-02 2.842E-02 2.095E-02 1.494E-02 9.516E-03 4.388E-03 4.143E-03 1.107E-02 1.042E-02 2.974E-03 20.0 4.623E-01 4.898E-01 4.860E-01 5.004E-01 6.457E-01 8.089E-01 9.331E-01 1.093E+00 1.180E+00 1.289E+00 1.243E+00 9.661E-01 1.072E+00 1.096E+00 9.950E-01 8.452E-01 7.869E-01 5.623E-01 2.240E-01 4.904E-02 6.053E-03 4.635E-03 3.203E-03 2.182E-03 1.361E-03 7.304E-04 1.216E-03 3.745E-03 3.474E-03 9.569E-04 25.0 2.491E-01 2.634E-01 2.617E-01 2.684E-01 3.495E-01 4.484E-01 5.307E-01 6.363E-01 6.975E-01 7.699E-01 7.333E-01 5.394E-01 6.063E-01 6.184E-01 5.487E-01 4.481E-01 4.099E-01 2.717E-01 8.912E-02 1.441E-02 1.402E-03 1.046E-03 7.127E-04 5.120E-04 3.617E-04 2.634E-04 5.157E-04 1.563E-03 1.415E-03 3.867E-04 30.0 1.488E-01 1.572E-01 1.562E-01 1.594E-01 2.083E-01 2.719E-01 3.287E-01 4.010E-01 4.445E-01 4.935E-01 4.622E-01 3.207E-01 3.639E-01 3.692E-01 3.198E-01 2.507E-01 2.250E-01 1.386E-01 3.772E-02 4.663E-03 4.808E-04 3.585E-04 2.521E-04 2.019E-04 1.637E-04 1.385E-04 2.646E-04 7.777E-04 6.926E-04 1.884E-04 35.0 9.417E-02 9.942E-02 9.861E-02 1.001E-01 1.310E-01 1.732E-01 2.133E-01 2.641E-01 2.952E-01 3.288E-01 3.020E-01 1.975E-01 2.256E-01 2.275E-01 1.922E-01 1.447E-01 1.273E-01 7.299E-02 1.661E-02 1.661E-03 2.356E-04 1.760E-04 1.266E-04 1.086E-04 9.373E-05 8.186E-05 1.486E-04 4.262E-04 3.753E-04 1.015E-04 40.0 6.457E-02 6.819E-02 6.741E-02 6.804E-02 8.857E-02 1.179E-01 1.474E-01 1.842E-01 2.066E-01 2.297E-01 2.056E-01 1.260E-01 1.445E-01 1.442E-01 1.186E-01 8.557E-02 7.375E-02 3.936E-02 7.548E-03 6.680E-04 1.422E-04 1.048E-04 7.477E-05 6.582E-05 5.784E-05 4.936E-05 7.634E-05 2.010E-04 1.704E-04 4.590E-05 45.0 4.700E-02 4.971E-02 4.896E-02 4.914E-02 6.352E-02 8.479E-02 1.073E-01 1.350E-01 1.515E-01 1.678E-01 1.460E-01 8.373E-02 9.612E-02 9.492E-02 7.593E-02 5.247E-02 4.425E-02 2.202E-02 3.599E-03 3.179E-04 9.705E-05 7.006E-05 4.879E-05 4.309E-05 3.795E-05 3.205E-05 4.807E-05 1.252E-04 1.057E-04 2.830E-05 50.0 3.593E-02 3.808E-02 3.734E-02 3.724E-02 4.765E-02 6.354E-02 8.119E-02 1.025E-01 1.147E-01 1.261E-01 1.061E-01 5.675E-02 6.506E-02 6.343E-02 4.930E-02 3.261E-02 2.690E-02 1.250E-02 1.770E-03 1.773E-04 6.911E-05 4.846E-05 3.256E-05 2.864E-05 2.517E-05 2.059E-05 2.618E-05 6.078E-05 4.902E-05 1.323E-05 Quantum Eo as a function of depth and wavelength Units are (micromol photons)/(m^2 s) [values are integrated over the wavelength bands] depth 405.0 415.0 425.0 435.0 445.0 455.0 465.0 475.0 485.0 495.0 505.0 515.0 525.0 535.0 545.0 555.0 565.0 575.0 585.0 595.0 605.0 615.0 625.0 635.0 645.0 655.0 665.0 675.0 685.0 695.0 in air 5.194E+01 5.654E+01 5.558E+01 5.865E+01 7.097E+01 7.785E+01 7.946E+01 8.260E+01 8.180E+01 8.493E+01 8.502E+01 8.342E+01 8.689E+01 8.941E+01 8.979E+01 9.066E+01 9.117E+01 9.260E+01 9.169E+01 8.900E+01 9.414E+01 9.390E+01 9.441E+01 9.518E+01 9.373E+01 9.112E+01 9.746E+01 9.756E+01 8.908E+01 8.665E+01 0.0 2.611E+01 2.844E+01 2.797E+01 2.951E+01 3.575E+01 3.944E+01 4.061E+01 4.252E+01 4.228E+01 4.399E+01 4.373E+01 4.209E+01 4.397E+01 4.518E+01 4.508E+01 4.508E+01 4.517E+01 4.533E+01 4.405E+01 4.217E+01 4.422E+01 4.412E+01 4.436E+01 4.471E+01 4.403E+01 4.277E+01 4.573E+01 4.586E+01 4.188E+01 4.066E+01 5.0 1.871E+01 2.042E+01 2.010E+01 2.114E+01 2.568E+01 2.876E+01 3.023E+01 3.217E+01 3.232E+01 3.378E+01 3.296E+01 2.973E+01 3.132E+01 3.196E+01 3.099E+01 2.954E+01 2.891E+01 2.656E+01 2.046E+01 1.318E+01 7.501E+00 6.991E+00 6.331E+00 5.660E+00 4.751E+00 3.391E+00 2.445E+00 2.205E+00 1.643E+00 9.972E-01 10.0 9.436E+00 1.031E+01 1.025E+01 1.079E+01 1.343E+01 1.566E+01 1.707E+01 1.884E+01 1.947E+01 2.077E+01 2.028E+01 1.748E+01 1.884E+01 1.933E+01 1.841E+01 1.693E+01 1.635E+01 1.383E+01 8.477E+00 3.719E+00 1.185E+00 1.033E+00 8.463E-01 6.753E-01 4.893E-01 2.650E-01 1.546E-01 2.035E-01 1.659E-01 5.608E-02 15.0 3.612E+00 3.935E+00 3.968E+00 4.189E+00 5.403E+00 6.649E+00 7.565E+00 8.740E+00 9.372E+00 1.026E+01 1.011E+01 8.396E+00 9.302E+00 9.649E+00 9.081E+00 8.125E+00 7.795E+00 6.111E+00 3.030E+00 9.352E-01 1.784E-01 1.461E-01 1.094E-01 7.930E-02 5.130E-02 2.402E-02 2.303E-02 6.245E-02 5.968E-02 1.728E-02 20.0 1.565E+00 1.699E+00 1.726E+00 1.819E+00 2.401E+00 3.076E+00 3.626E+00 4.340E+00 4.781E+00 5.333E+00 5.246E+00 4.159E+00 4.704E+00 4.901E+00 4.532E+00 3.920E+00 3.716E+00 2.702E+00 1.095E+00 2.439E-01 3.061E-02 2.383E-02 1.673E-02 1.158E-02 7.339E-03 3.999E-03 6.757E-03 2.113E-02 1.989E-02 5.558E-03 25.0 8.432E-01 9.136E-01 9.297E-01 9.758E-01 1.300E+00 1.705E+00 2.063E+00 2.526E+00 2.828E+00 3.185E+00 3.095E+00 2.322E+00 2.660E+00 2.765E+00 2.499E+00 2.079E+00 1.936E+00 1.306E+00 4.358E-01 7.167E-02 7.091E-03 5.377E-03 3.723E-03 2.717E-03 1.950E-03 1.442E-03 2.867E-03 8.820E-03 8.104E-03 2.246E-03 30.0 5.038E-01 5.453E-01 5.547E-01 5.795E-01 7.748E-01 1.034E+00 1.277E+00 1.592E+00 1.802E+00 2.042E+00 1.951E+00 1.381E+00 1.597E+00 1.651E+00 1.457E+00 1.163E+00 1.063E+00 6.660E-01 1.844E-01 2.319E-02 2.431E-03 1.843E-03 1.317E-03 1.072E-03 8.826E-04 7.581E-04 1.471E-03 4.388E-03 3.965E-03 1.094E-03 35.0 3.188E-01 3.448E-01 3.503E-01 3.641E-01 4.871E-01 6.586E-01 8.291E-01 1.048E+00 1.197E+00 1.360E+00 1.275E+00 8.499E-01 9.901E-01 1.017E+00 8.754E-01 6.712E-01 6.014E-01 3.508E-01 8.120E-02 8.262E-03 1.191E-03 9.049E-04 6.615E-04 5.766E-04 5.053E-04 4.482E-04 8.260E-04 2.404E-03 2.148E-03 5.898E-04 40.0 2.186E-01 2.365E-01 2.395E-01 2.474E-01 3.294E-01 4.483E-01 5.728E-01 7.312E-01 8.374E-01 9.504E-01 8.678E-01 5.423E-01 6.339E-01 6.449E-01 5.403E-01 3.970E-01 3.482E-01 1.892E-01 3.691E-02 3.322E-03 7.190E-04 5.389E-04 3.906E-04 3.493E-04 3.118E-04 2.702E-04 4.243E-04 1.134E-03 9.757E-04 2.666E-04 45.0 1.591E-01 1.724E-01 1.739E-01 1.787E-01 2.362E-01 3.225E-01 4.171E-01 5.359E-01 6.142E-01 6.944E-01 6.163E-01 3.604E-01 4.218E-01 4.244E-01 3.459E-01 2.434E-01 2.090E-01 1.058E-01 1.760E-02 1.581E-03 4.907E-04 3.601E-04 2.549E-04 2.287E-04 2.046E-04 1.754E-04 2.672E-04 7.066E-04 6.052E-04 1.644E-04 50.0 1.216E-01 1.321E-01 1.326E-01 1.354E-01 1.772E-01 2.416E-01 3.155E-01 4.068E-01 4.651E-01 5.218E-01 4.480E-01 2.443E-01 2.855E-01 2.836E-01 2.246E-01 1.513E-01 1.270E-01 6.008E-02 8.653E-03 8.817E-04 3.495E-04 2.491E-04 1.701E-04 1.520E-04 1.357E-04 1.127E-04 1.455E-04 3.429E-04 2.806E-04 7.685E-05 PAR as a function of depth The wavelengths used for this PAR calculation were 400.0 to 700.0 nm depth PAR(from Eo) PAR(from Ed) (m) (mumol phot/m^2/s) (mumol phot/m^2/s) in air 2.5232E+03 9.4818E+02 0.00 1.2368E+03 8.8365E+02 5.00 5.8082E+02 3.7514E+02 10.00 3.0475E+02 1.8541E+02 15.00 1.3698E+02 8.3616E+01 20.00 6.5735E+01 4.1160E+01 25.00 3.6482E+01 2.3292E+01 30.00 2.1859E+01 1.4144E+01 35.00 1.3688E+01 8.9450E+00 40.00 9.0207E+00 5.9651E+00 45.00 6.2539E+00 4.1638E+00 50.00 4.4858E+00 3.0135E+00 K-function for PAR (units of 1/meter) (valid only when zupper and zlower are closely spaced) zupper zlower z KPAR(from Eo) 0.000 0.010 0.005 0.22333 5.000 5.010 5.005 0.11275 10.000 10.010 10.005 0.15333 15.000 15.010 15.005 0.16428 20.000 20.010 20.005 0.12761 25.000 25.010 25.005 0.10815 30.000 30.010 30.005 0.09689 35.000 35.010 35.005 0.09075 40.000 40.010 40.005 0.07489 45.000 45.010 45.005 0.07246 50.000 50.010 50.005 0.05923 CIE 1931 chromaticity coordinates (x,y) and (il)luminance Y for selected quantities. Output is (x,y,Y). Y is illuminance in lm/m^2 for Ed and Eu; Y is luminance in lm/(m^2 sr) for Lu and Lw depth Ed Eu Lu Lw in air (0.331, 0.343, 5.281E+04) (0.315, 0.336, 4.710E+03) (0.236, 0.302, 1.810E+02) (0.207, 0.294, 1.285E+02) 0.00 (0.329, 0.342, 4.926E+04) (0.206, 0.292, 1.160E+03) (0.207, 0.294, 2.381E+02) 5.00 (0.245, 0.332, 2.526E+04) (0.197, 0.316, 9.254E+02) (0.198, 0.315, 1.655E+02) 10.00 (0.216, 0.337, 1.286E+04) (0.198, 0.350, 6.023E+02) (0.196, 0.339, 9.447E+01) 15.00 (0.206, 0.355, 6.039E+03) (0.193, 0.363, 2.760E+02) (0.188, 0.343, 4.236E+01) 20.00 (0.199, 0.368, 3.029E+03) (0.180, 0.348, 1.190E+02) (0.177, 0.326, 1.945E+01) 25.00 (0.191, 0.368, 1.698E+03) (0.170, 0.328, 6.039E+01) (0.168, 0.307, 1.037E+01) 30.00 (0.184, 0.363, 1.009E+03) (0.162, 0.309, 3.349E+01) (0.161, 0.288, 5.958E+00) 35.00 (0.176, 0.356, 6.214E+02) (0.155, 0.284, 1.906E+01) (0.155, 0.264, 3.536E+00) 40.00 (0.169, 0.345, 3.993E+02) (0.148, 0.254, 1.122E+01) (0.149, 0.239, 2.221E+00) 45.00 (0.162, 0.331, 2.664E+02) (0.144, 0.231, 7.170E+00) (0.146, 0.219, 1.479E+00) 50.00 (0.156, 0.314, 1.831E+02) (0.140, 0.206, 4.685E+00) (0.143, 0.202, 1.029E+00) The final depth-averaged photopic alpha and K are alpha = 0.5374 1/m and K = 0.1318 1/m The final estimate for the Secchi depth is z_SD = 11.95 m Run completed on 07/20/2011 at 16:20:03.8 Total (wall clock) run time = 269.5 sec