======================================================== | | | 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: classic case 1 (07/19/2011 15:19) Run started on 07/19/2011 at 15:19:55.8 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 "abcase1" is being used: Absorption and scattering coefficients for case 1 water (Gordon and Morel bio-optical models) are used. component 1 is pure water component 2 is pigmented particles component 3 is CDOM that covaries with chlorophyll Pure water a and b values are obtained from the file: ..\data\H2OabDefaults.txt (Linear interpolation is used to define values at all wavelengths) The data file header records from ..\data\H2OabDefaults.txt are: Default "pure water" absorption (a) and scattering (b) coefficients. Based on: 200-300 nm: R.C. Smith and K. Baker, 1981. Appl. Optics 20(2), 177-184. 191 records read The phase function for component 1 comes from a file titled pure sea water (Rayleigh-like phase function); standard quad partition; 7 Sept 98 Absorption for component 2 calculated from the Prieur-Sathyenranath-Morel model 141 records read The chlorophyll concentration is constant with depth with a value of 2.00 (mg/m^3) Scattering for component 2 calculated using a Power Law model b = 0.3000 X^(0.6200) * (550./wavenm)^(1.0000) The phase function for component 2 will be chosen to have a bb/b ratio of 0.0100 Chlorophyll concentrations at the requested output depths depth Chl (m) (mg/m^3) 0.000 2.000 5.000 2.000 10.000 2.000 15.000 2.000 20.000 2.000 25.000 2.000 30.000 2.000 35.000 2.000 40.000 2.000 45.000 2.000 50.000 2.000 ***** END IOP MODEL SPECIFICATIONS ***** ***** BEGIN INELASTIC SCATTER AND INTERNAL SOURCE SPECIFICATIONS ***** Chlorophyll fluorescence is included in this run Chl fluorescent quantum efficiency set to 0.020 CDOM fluorescence is included in this run Raman scattering is included in this run Raman scattering cross-section set to 2.40E-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( 7, 1) centered at (theta, phi) = (30.000, 0.000) Diffuse and Direct Sky irradiances are computed using the "RADTRANX" (RADTRAN eXtended for 300-1000 nm) model The RADTRAN clear-sky irradiances are adjusted for cloudiness by the model of Kasten and Czeplak Parameter values used in the RADTRANX model: Solar zenith angle = 30.0 degrees Pressure = 29.9 in. mercury Day of year = not set (mean earth-sun distance used) Air mass type = 1.0 Relative Humidity = 80.0 % Precipitable water = 2.5 cm 24-hr wind speed = 5.0 m/sec Current wind speed = 5.0 m/sec Visibility = 15.0 km Total ozone = 300.0 Dobson units Irradiances are computed just above the sea surface Aerosol optical thickness at 550 nm = 0.261 ***** END ATMOSPHERIC MODEL SPECIFICATIONS ***** ***** BEGIN AIR-WATER SURFACE SPECIFICATIONS ***** The air-water surface is for a wind speed of 5.0 m/s Index of refraction is constant for all wavelengths with the value: 1.340 ***** END AIR-WATER SURFACE SPECIFICATIONS ***** ***** BEGIN BOTTOM BOUNDARY SPECIFICATIONS ***** The bottom boundary is an infinitely deep, homogeneous water body below depth 50.00 m The actual depth at which the infinitely deep bottom boundary condition will be applied will be determined dynamically from the IOPs to insure a good solution at the requested output depths ***** END BOTTOM BOUNDARY SPECIFICATIONS ***** Initialization of Hydrolight Completed in 0.2 sec. * * * * * Output for wavelength band 1 (400.0 to 410.0 nm; nominal wavelength = 405.0 nm) * * * * * Index of refraction at this wavelength is 1.340 The infinitely deep bottom boundary condition is applied at 86.8 m at 405.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 400.0 nm to 410.0 nm: Ed(diffuse) = 4.287E-01 Ed(direct) = 6.992E-01 Ed(total) = 1.128E+00 Absorption Coefficients of Individual Components at 405.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0053 0.0734 0.0307 0.1095 3 3.714 5.000 0.0053 0.0734 0.0307 0.1095 5 7.428 10.000 0.0053 0.0734 0.0307 0.1095 7 11.142 15.000 0.0053 0.0734 0.0307 0.1095 9 14.856 20.000 0.0053 0.0734 0.0307 0.1095 11 18.570 25.000 0.0053 0.0734 0.0307 0.1095 13 22.284 30.000 0.0053 0.0734 0.0307 0.1095 15 25.998 35.000 0.0053 0.0734 0.0307 0.1095 17 29.712 40.000 0.0053 0.0734 0.0307 0.1095 19 33.426 45.000 0.0053 0.0734 0.0307 0.1095 21 37.140 50.000 0.0053 0.0734 0.0307 0.1095 Scattering Coefficients of Individual Components at 405.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0072 0.6261 0.0000 0.6333 3 3.714 5.000 0.0072 0.6261 0.0000 0.6333 5 7.428 10.000 0.0072 0.6261 0.0000 0.6333 7 11.142 15.000 0.0072 0.6261 0.0000 0.6333 9 14.856 20.000 0.0072 0.6261 0.0000 0.6333 11 18.570 25.000 0.0072 0.6261 0.0000 0.6333 13 22.284 30.000 0.0072 0.6261 0.0000 0.6333 15 25.998 35.000 0.0072 0.6261 0.0000 0.6333 17 29.712 40.000 0.0072 0.6261 0.0000 0.6333 19 33.426 45.000 0.0072 0.6261 0.0000 0.6333 21 37.140 50.000 0.0072 0.6261 0.0000 0.6333 Backscattering Coefficients of Individual Components at 405.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00359 0.00626 0.00000 0.00985 3 3.714 5.000 0.00359 0.00626 0.00000 0.00985 5 7.428 10.000 0.00359 0.00626 0.00000 0.00985 7 11.142 15.000 0.00359 0.00626 0.00000 0.00985 9 14.856 20.000 0.00359 0.00626 0.00000 0.00985 11 18.570 25.000 0.00359 0.00626 0.00000 0.00985 13 22.284 30.000 0.00359 0.00626 0.00000 0.00985 15 25.998 35.000 0.00359 0.00626 0.00000 0.00985 17 29.712 40.000 0.00359 0.00626 0.00000 0.00985 19 33.426 45.000 0.00359 0.00626 0.00000 0.00985 21 37.140 50.000 0.00359 0.00626 0.00000 0.00985 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 0.1095 0.6333 0.7428 0.8526 0.00985 0.01555 3 3.714 5.000 0.1095 0.6333 0.7428 0.8526 0.00985 0.01555 5 7.428 10.000 0.1095 0.6333 0.7428 0.8526 0.00985 0.01555 7 11.142 15.000 0.1095 0.6333 0.7428 0.8526 0.00985 0.01555 9 14.856 20.000 0.1095 0.6333 0.7428 0.8526 0.00985 0.01555 11 18.570 25.000 0.1095 0.6333 0.7428 0.8526 0.00985 0.01555 13 22.284 30.000 0.1095 0.6333 0.7428 0.8526 0.00985 0.01555 15 25.998 35.000 0.1095 0.6333 0.7428 0.8526 0.00985 0.01555 17 29.712 40.000 0.1095 0.6333 0.7428 0.8526 0.00985 0.01555 19 33.426 45.000 0.1095 0.6333 0.7428 0.8526 0.00985 0.01555 21 37.140 50.000 0.1095 0.6333 0.7428 0.8526 0.00985 0.01555 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3652E-01 8 20.00 7.8545E-01 7 30.00 5.9453E-01 6 40.00 4.1380E-01 5 50.00 2.7091E-01 4 60.00 1.7119E-01 3 70.00 1.0728E-01 2 80.00 6.8636E-02 1 87.50 4.9922E-02 1 92.50 4.0032E-02 2 100.00 3.0599E-02 3 110.00 2.2666E-02 4 120.00 1.7736E-02 5 130.00 1.4693E-02 6 140.00 1.2807E-02 7 150.00 1.1646E-02 8 160.00 1.0955E-02 9 170.00 1.0589E-02 10 180.00 1.0460E-02 Asymptotic AOP values are MUu(inf) = 0.3820 MUd(inf) = 0.7321 MU(inf) = 0.6541 R(inf) = 0.0393 Lu(inf)/Ed(inf) = 0.008333 (1/sr) k(inf) = 0.1674 (1/m) absorp(check) = 0.1095 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 405.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.6553E-01 1.6724E+00 1.8379E+00 5.7784E-02 1.1279E+00 0.3491 0.6745 0.5823 5.1229E-02 1 0.00 0.00 8.5793E-02 1.2888E+00 1.3746E+00 3.6436E-02 1.1066E+00 0.4247 0.8586 0.7785 3.2926E-02 3 3.71 5.00 4.8109E-02 6.7098E-01 7.1909E-01 1.9156E-02 5.2728E-01 0.3982 0.7858 0.7066 3.6331E-02 5 7.43 10.00 2.3201E-02 3.1544E-01 3.3864E-01 9.0418E-03 2.3925E-01 0.3897 0.7585 0.6798 3.7793E-02 7 11.14 15.00 1.0594E-02 1.4234E-01 1.5294E-01 4.0878E-03 1.0612E-01 0.3859 0.7455 0.6672 3.8520E-02 9 14.86 20.00 4.7130E-03 6.2957E-02 6.7670E-02 1.8097E-03 4.6531E-02 0.3840 0.7391 0.6609 3.8892E-02 11 18.57 25.00 2.0694E-03 2.7561E-02 2.9631E-02 7.9262E-04 2.0281E-02 0.3830 0.7358 0.6577 3.9083E-02 13 22.28 30.00 9.0279E-04 1.2005E-02 1.2908E-02 3.4534E-04 8.8137E-03 0.3825 0.7341 0.6560 3.9183E-02 15 26.00 35.00 3.9252E-04 5.2156E-03 5.6082E-03 1.5005E-04 3.8243E-03 0.3823 0.7332 0.6552 3.9236E-02 17 29.71 40.00 1.7036E-04 2.2627E-03 2.4331E-03 6.5102E-05 1.6580E-03 0.3821 0.7328 0.6547 3.9264E-02 19 33.43 45.00 7.3870E-05 9.8089E-04 1.0548E-03 2.8223E-05 7.1849E-04 0.3821 0.7325 0.6544 3.9280E-02 21 37.14 50.00 3.2013E-05 4.2504E-04 4.5705E-04 1.2230E-05 3.1127E-04 0.3820 0.7323 0.6543 3.9289E-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 0.08624 0.11187 0.11027 0.10629 0.13951 0.14064 0.13387 5.000 5.010 5.005 0.13665 0.14427 0.14376 0.14311 0.15450 0.15493 0.15235 10.000 10.010 10.005 0.15273 0.15606 0.15583 0.15553 0.16084 0.16104 0.15980 15.000 15.010 15.005 0.15997 0.16160 0.16148 0.16134 0.16398 0.16409 0.16346 20.000 20.010 20.005 0.16357 0.16438 0.16432 0.16425 0.16559 0.16565 0.16532 25.000 25.010 25.005 0.16539 0.16580 0.16577 0.16573 0.16642 0.16645 0.16629 30.000 30.010 30.005 0.16631 0.16653 0.16651 0.16649 0.16686 0.16687 0.16678 35.000 35.010 35.005 0.16679 0.16691 0.16690 0.16689 0.16709 0.16709 0.16705 40.000 40.010 40.005 0.16705 0.16711 0.16711 0.16710 0.16721 0.16721 0.16719 45.000 45.010 45.005 0.16719 0.16722 0.16722 0.16722 0.16728 0.16728 0.16727 50.000 50.010 50.005 0.16725 0.16728 0.16728 0.16728 0.16732 0.16732 0.16731 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 405.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.15686E-01 4.81015E-03 6.50596E-03 1.13161E-02 4.26452E-03 0.056238 9 1 10.0 0.0 180.0 7.13830E-02 4.92728E-03 2.28345E-03 7.21073E-03 4.36836E-03 0.031989 9 4 10.0 45.0 135.0 7.84307E-02 4.89290E-03 2.61264E-03 7.50554E-03 4.33788E-03 0.033311 9 7 10.0 90.0 90.0 1.05966E-01 4.85151E-03 4.91231E-03 9.76382E-03 4.30119E-03 0.046357 8 1 20.0 0.0 180.0 5.60704E-02 5.00180E-03 1.35492E-03 6.35672E-03 4.43443E-03 0.024165 8 4 20.0 45.0 135.0 6.24214E-02 4.92926E-03 1.57631E-03 6.50557E-03 4.37012E-03 0.025253 8 7 20.0 90.0 90.0 9.17877E-02 4.87416E-03 3.15324E-03 8.02741E-03 4.32127E-03 0.034354 7 1 30.0 0.0 180.0 4.86160E-02 5.10093E-03 1.17031E-03 6.27124E-03 4.52232E-03 0.024073 7 4 30.0 45.0 135.0 5.38891E-02 5.06210E-03 1.31286E-03 6.37496E-03 4.48789E-03 0.024362 7 7 30.0 90.0 90.0 7.86649E-02 4.96650E-03 2.17442E-03 7.14092E-03 4.40314E-03 0.027642 6 1 40.0 0.0 180.0 4.61458E-02 5.18311E-03 1.30124E-03 6.48435E-03 4.59517E-03 0.028198 6 4 40.0 45.0 135.0 5.04580E-02 5.12839E-03 1.41127E-03 6.53966E-03 4.54666E-03 0.027969 6 7 40.0 90.0 90.0 7.08422E-02 5.02786E-03 2.03855E-03 7.06640E-03 4.45753E-03 0.028776 5 1 50.0 0.0 180.0 4.83824E-02 5.28498E-03 2.05551E-03 7.34049E-03 4.68549E-03 0.042485 5 4 50.0 45.0 135.0 5.15579E-02 5.19677E-03 2.14146E-03 7.33823E-03 4.60728E-03 0.041535 5 7 50.0 90.0 90.0 6.85333E-02 5.10371E-03 2.76849E-03 7.87220E-03 4.52478E-03 0.040396 4 1 60.0 0.0 180.0 5.74306E-02 5.24199E-03 4.78837E-03 1.00304E-02 4.64738E-03 0.083377 4 4 60.0 45.0 135.0 5.87304E-02 5.14405E-03 4.72843E-03 9.87247E-03 4.56054E-03 0.080511 4 7 60.0 90.0 90.0 7.25243E-02 5.11852E-03 5.52173E-03 1.06403E-02 4.53791E-03 0.076136 3 1 70.0 0.0 180.0 7.96854E-02 4.89419E-03 1.32267E-02 1.81209E-02 4.33903E-03 0.165987 3 4 70.0 45.0 135.0 7.74426E-02 4.85310E-03 1.27266E-02 1.75797E-02 4.30260E-03 0.164336 3 7 70.0 90.0 90.0 8.65789E-02 4.83963E-03 1.38396E-02 1.86792E-02 4.29066E-03 0.159849 2 1 80.0 0.0 180.0 1.35387E-01 4.21414E-03 3.28778E-02 3.70919E-02 3.73611E-03 0.242843 2 4 80.0 45.0 135.0 1.25365E-01 4.16782E-03 3.17996E-02 3.59674E-02 3.69505E-03 0.253655 2 7 80.0 90.0 90.0 1.24552E-01 4.16661E-03 3.33028E-02 3.74694E-02 3.69398E-03 0.267382 1 1 87.5 0.0 180.0 2.18895E-01 3.40926E-03 5.79845E-02 6.13937E-02 3.02254E-03 0.264896 1 4 87.5 45.0 135.0 1.97088E-01 3.21011E-03 5.76265E-02 6.08366E-02 2.84598E-03 0.292389 1 7 87.5 90.0 90.0 1.79307E-01 3.55989E-03 5.89769E-02 6.25368E-02 3.15608E-03 0.328916 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 1.132E-02 1.157E-01 1.401E-01 1.209E-01 1.810E-01 1.003E-02 5.106E+00 4.810E-03 4.265E-03 1 0.00 0.00 8.924E-03 2.154E-01 1.773E-02 2.016E-02 2.727E-02 8.064E-03 4.083E+00 3 3.71 5.00 4.327E-03 2.687E-01 1.082E-02 1.373E-02 2.176E-02 8.206E-03 4.428E+00 5 7.43 10.00 1.978E-03 1.634E-01 5.616E-03 7.141E-03 1.084E-02 8.268E-03 4.571E+00 7 11.14 15.00 8.807E-04 8.067E-02 2.738E-03 3.410E-03 4.837E-03 8.299E-03 4.641E+00 9 14.86 20.00 3.869E-04 3.677E-02 1.291E-03 1.562E-03 2.067E-03 8.315E-03 4.677E+00 11 18.57 25.00 1.688E-04 1.623E-02 5.962E-04 6.986E-04 8.700E-04 8.323E-03 4.696E+00 13 22.28 30.00 7.340E-05 7.070E-03 2.711E-04 3.084E-04 3.651E-04 8.328E-03 4.705E+00 15 26.00 35.00 3.186E-05 3.066E-03 1.218E-04 1.351E-04 1.536E-04 8.330E-03 4.710E+00 17 29.71 40.00 1.381E-05 1.327E-03 5.429E-05 5.890E-05 6.494E-05 8.331E-03 4.713E+00 19 33.43 45.00 5.986E-06 5.743E-04 2.403E-05 2.561E-05 2.757E-05 8.332E-03 4.714E+00 21 37.14 50.00 2.594E-06 2.485E-04 1.058E-05 1.112E-05 1.175E-05 8.332E-03 4.715E+00 Waveband 1 of 30 completed in 7.0 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 86.8 m at 415.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 410.0 nm to 420.0 nm: Ed(diffuse) = 4.394E-01 Ed(direct) = 7.590E-01 Ed(total) = 1.198E+00 Absorption Coefficients of Individual Components at 415.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0044 0.0829 0.0267 0.1140 3 3.658 5.000 0.0044 0.0829 0.0267 0.1140 5 7.315 10.000 0.0044 0.0829 0.0267 0.1140 7 10.973 15.000 0.0044 0.0829 0.0267 0.1140 9 14.631 20.000 0.0044 0.0829 0.0267 0.1140 11 18.288 25.000 0.0044 0.0829 0.0267 0.1140 13 21.946 30.000 0.0044 0.0829 0.0267 0.1140 15 25.603 35.000 0.0044 0.0829 0.0267 0.1140 17 29.261 40.000 0.0044 0.0829 0.0267 0.1140 19 32.919 45.000 0.0044 0.0829 0.0267 0.1140 21 36.576 50.000 0.0044 0.0829 0.0267 0.1140 Scattering Coefficients of Individual Components at 415.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0065 0.6110 0.0000 0.6175 3 3.658 5.000 0.0065 0.6110 0.0000 0.6175 5 7.315 10.000 0.0065 0.6110 0.0000 0.6175 7 10.973 15.000 0.0065 0.6110 0.0000 0.6175 9 14.631 20.000 0.0065 0.6110 0.0000 0.6175 11 18.288 25.000 0.0065 0.6110 0.0000 0.6175 13 21.946 30.000 0.0065 0.6110 0.0000 0.6175 15 25.603 35.000 0.0065 0.6110 0.0000 0.6175 17 29.261 40.000 0.0065 0.6110 0.0000 0.6175 19 32.919 45.000 0.0065 0.6110 0.0000 0.6175 21 36.576 50.000 0.0065 0.6110 0.0000 0.6175 Backscattering Coefficients of Individual Components at 415.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00323 0.00611 0.00000 0.00934 3 3.658 5.000 0.00323 0.00611 0.00000 0.00934 5 7.315 10.000 0.00323 0.00611 0.00000 0.00934 7 10.973 15.000 0.00323 0.00611 0.00000 0.00934 9 14.631 20.000 0.00323 0.00611 0.00000 0.00934 11 18.288 25.000 0.00323 0.00611 0.00000 0.00934 13 21.946 30.000 0.00323 0.00611 0.00000 0.00934 15 25.603 35.000 0.00323 0.00611 0.00000 0.00934 17 29.261 40.000 0.00323 0.00611 0.00000 0.00934 19 32.919 45.000 0.00323 0.00611 0.00000 0.00934 21 36.576 50.000 0.00323 0.00611 0.00000 0.00934 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 0.1140 0.6175 0.7315 0.8441 0.00934 0.01513 3 3.658 5.000 0.1140 0.6175 0.7315 0.8441 0.00934 0.01513 5 7.315 10.000 0.1140 0.6175 0.7315 0.8441 0.00934 0.01513 7 10.973 15.000 0.1140 0.6175 0.7315 0.8441 0.00934 0.01513 9 14.631 20.000 0.1140 0.6175 0.7315 0.8441 0.00934 0.01513 11 18.288 25.000 0.1140 0.6175 0.7315 0.8441 0.00934 0.01513 13 21.946 30.000 0.1140 0.6175 0.7315 0.8441 0.00934 0.01513 15 25.603 35.000 0.1140 0.6175 0.7315 0.8441 0.00934 0.01513 17 29.261 40.000 0.1140 0.6175 0.7315 0.8441 0.00934 0.01513 19 32.919 45.000 0.1140 0.6175 0.7315 0.8441 0.00934 0.01513 21 36.576 50.000 0.1140 0.6175 0.7315 0.8441 0.00934 0.01513 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3405E-01 8 20.00 7.7791E-01 7 30.00 5.8250E-01 6 40.00 3.9999E-01 5 50.00 2.5799E-01 4 60.00 1.6058E-01 3 70.00 9.9207E-02 2 80.00 6.2682E-02 1 87.50 4.5226E-02 1 92.50 3.6094E-02 2 100.00 2.7433E-02 3 110.00 2.0202E-02 4 120.00 1.5743E-02 5 130.00 1.3010E-02 6 140.00 1.1326E-02 7 150.00 1.0293E-02 8 160.00 9.6816E-03 9 170.00 9.3586E-03 10 180.00 9.2450E-03 Asymptotic AOP values are MUu(inf) = 0.3801 MUd(inf) = 0.7382 MU(inf) = 0.6655 R(inf) = 0.0358 Lu(inf)/Ed(inf) = 0.007559 (1/sr) k(inf) = 0.1713 (1/m) absorp(check) = 0.1140 = 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 1.6907E-01 1.7632E+00 1.9323E+00 5.9232E-02 1.1984E+00 0.3503 0.6797 0.5896 4.9424E-02 1 0.00 0.00 8.3341E-02 1.3621E+00 1.4454E+00 3.5233E-02 1.1744E+00 0.4228 0.8622 0.7881 3.0000E-02 3 3.66 5.00 4.5810E-02 6.9314E-01 7.3895E-01 1.8152E-02 5.4828E-01 0.3962 0.7910 0.7174 3.3107E-02 5 7.32 10.00 2.1654E-02 3.1911E-01 3.4077E-01 8.3983E-03 2.4385E-01 0.3878 0.7642 0.6910 3.4440E-02 7 10.97 15.00 9.6938E-03 1.4112E-01 1.5081E-01 3.7226E-03 1.0604E-01 0.3840 0.7514 0.6784 3.5106E-02 9 14.63 20.00 4.2287E-03 6.1183E-02 6.5412E-02 1.6159E-03 4.5586E-02 0.3821 0.7451 0.6722 3.5447E-02 11 18.29 25.00 1.8208E-03 2.6263E-02 2.8084E-02 6.9403E-04 1.9483E-02 0.3812 0.7418 0.6690 3.5623E-02 13 21.95 30.00 7.7874E-04 1.1215E-02 1.1993E-02 2.9645E-04 8.3007E-03 0.3807 0.7402 0.6674 3.5714E-02 15 25.60 35.00 3.3196E-04 4.7765E-03 5.1085E-03 1.2629E-04 3.5312E-03 0.3804 0.7393 0.6665 3.5763E-02 17 29.26 40.00 1.4125E-04 2.0316E-03 2.1728E-03 5.3718E-05 1.5010E-03 0.3803 0.7388 0.6661 3.5789E-02 19 32.92 45.00 6.0049E-05 8.6345E-04 9.2350E-04 2.2832E-05 6.3771E-04 0.3802 0.7386 0.6658 3.5803E-02 21 36.58 50.00 2.5513E-05 3.6681E-04 3.9232E-04 9.6997E-06 2.7085E-04 0.3802 0.7384 0.6657 3.5811E-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 0.08819 0.11585 0.11425 0.10983 0.14363 0.14467 0.13791 5.000 5.010 5.005 0.14073 0.14859 0.14810 0.14715 0.15854 0.15893 0.15637 10.000 10.010 10.005 0.15670 0.16015 0.15993 0.15949 0.16482 0.16500 0.16376 15.000 15.010 15.005 0.16393 0.16561 0.16551 0.16529 0.16795 0.16805 0.16741 20.000 20.010 20.005 0.16751 0.16836 0.16831 0.16820 0.16956 0.16961 0.16928 25.000 25.010 25.005 0.16934 0.16977 0.16974 0.16969 0.17038 0.17041 0.17024 30.000 30.010 30.005 0.17027 0.17049 0.17048 0.17045 0.17081 0.17083 0.17074 35.000 35.010 35.005 0.17075 0.17087 0.17086 0.17085 0.17104 0.17105 0.17100 40.000 40.010 40.005 0.17101 0.17107 0.17107 0.17106 0.17116 0.17117 0.17114 45.000 45.010 45.005 0.17113 0.17117 0.17117 0.17117 0.17123 0.17123 0.17121 50.000 50.010 50.005 0.17121 0.17123 0.17123 0.17123 0.17127 0.17127 0.17126 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 415.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.18579E-01 4.63082E-03 6.88404E-03 1.15149E-02 3.86402E-03 0.058054 9 1 10.0 0.0 180.0 7.31681E-02 4.74461E-03 2.36947E-03 7.11408E-03 3.95896E-03 0.032384 9 4 10.0 45.0 135.0 8.03920E-02 4.71107E-03 2.71518E-03 7.42625E-03 3.93098E-03 0.033774 9 7 10.0 90.0 90.0 1.08616E-01 4.67037E-03 5.16841E-03 9.83878E-03 3.89701E-03 0.047584 8 1 20.0 0.0 180.0 5.74725E-02 4.81674E-03 1.39027E-03 6.20701E-03 4.01915E-03 0.024190 8 4 20.0 45.0 135.0 6.39824E-02 4.74612E-03 1.61952E-03 6.36564E-03 3.96022E-03 0.025312 8 7 20.0 90.0 90.0 9.40831E-02 4.69179E-03 3.28278E-03 7.97457E-03 3.91489E-03 0.034892 7 1 30.0 0.0 180.0 4.98318E-02 4.91238E-03 1.19958E-03 6.11195E-03 4.09895E-03 0.024072 7 4 30.0 45.0 135.0 5.52379E-02 4.87391E-03 1.34587E-03 6.21978E-03 4.06685E-03 0.024365 7 7 30.0 90.0 90.0 8.06253E-02 4.78031E-03 2.23876E-03 7.01907E-03 3.98876E-03 0.027767 6 1 40.0 0.0 180.0 4.72998E-02 4.99135E-03 1.33378E-03 6.32513E-03 4.16485E-03 0.028198 6 4 40.0 45.0 135.0 5.17198E-02 4.93734E-03 1.44656E-03 6.38390E-03 4.11978E-03 0.027969 6 7 40.0 90.0 90.0 7.26138E-02 4.83921E-03 2.09017E-03 6.92938E-03 4.03790E-03 0.028785 5 1 50.0 0.0 180.0 4.95923E-02 5.08926E-03 2.10691E-03 7.19616E-03 4.24654E-03 0.042485 5 4 50.0 45.0 135.0 5.28472E-02 5.00300E-03 2.19501E-03 7.19802E-03 4.17457E-03 0.041535 5 7 50.0 90.0 90.0 7.02471E-02 4.91296E-03 2.83772E-03 7.75068E-03 4.09944E-03 0.040396 4 1 60.0 0.0 180.0 5.88668E-02 5.04776E-03 4.90811E-03 9.95586E-03 4.21191E-03 0.083377 4 4 60.0 45.0 135.0 6.01990E-02 4.95229E-03 4.84667E-03 9.79896E-03 4.13225E-03 0.080511 4 7 60.0 90.0 90.0 7.43379E-02 4.92848E-03 5.65981E-03 1.05883E-02 4.11239E-03 0.076136 3 1 70.0 0.0 180.0 8.16781E-02 4.71315E-03 1.35575E-02 1.82707E-02 3.93271E-03 0.165987 3 4 70.0 45.0 135.0 7.93792E-02 4.67289E-03 1.30448E-02 1.77177E-02 3.89912E-03 0.164336 3 7 70.0 90.0 90.0 8.87440E-02 4.66255E-03 1.41856E-02 1.88482E-02 3.89049E-03 0.159849 2 1 80.0 0.0 180.0 1.38772E-01 4.05880E-03 3.36999E-02 3.77587E-02 3.38671E-03 0.242843 2 4 80.0 45.0 135.0 1.28500E-01 4.01399E-03 3.25948E-02 3.66088E-02 3.34933E-03 0.253655 2 7 80.0 90.0 90.0 1.27666E-01 4.01673E-03 3.41356E-02 3.81524E-02 3.35161E-03 0.267382 1 1 87.5 0.0 180.0 2.24369E-01 3.28444E-03 5.94345E-02 6.27189E-02 2.74058E-03 0.264896 1 4 87.5 45.0 135.0 2.02017E-01 3.09282E-03 5.90676E-02 6.21604E-02 2.58068E-03 0.292389 1 7 87.5 90.0 90.0 1.83791E-01 3.43483E-03 6.04518E-02 6.38866E-02 2.86606E-03 0.328916 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 1.151E-02 1.186E-01 1.435E-01 1.238E-01 1.854E-01 9.608E-03 5.144E+00 4.631E-03 3.864E-03 1 0.00 0.00 8.591E-03 2.207E-01 1.720E-02 1.969E-02 2.696E-02 7.315E-03 4.101E+00 3 3.66 5.00 4.082E-03 2.763E-01 1.032E-02 1.322E-02 2.124E-02 7.444E-03 4.447E+00 5 7.32 10.00 1.829E-03 1.668E-01 5.247E-03 6.734E-03 1.037E-02 7.502E-03 4.591E+00 7 10.97 15.00 7.985E-04 8.146E-02 2.508E-03 3.153E-03 4.536E-03 7.531E-03 4.662E+00 9 14.63 20.00 3.440E-04 3.663E-02 1.161E-03 1.416E-03 1.901E-03 7.545E-03 4.698E+00 11 18.29 25.00 1.471E-04 1.591E-02 5.260E-04 6.216E-04 7.838E-04 7.553E-03 4.717E+00 13 21.95 30.00 6.273E-05 6.813E-03 2.347E-04 2.691E-04 3.222E-04 7.557E-03 4.726E+00 15 25.60 35.00 2.669E-05 2.900E-03 1.036E-04 1.156E-04 1.328E-04 7.559E-03 4.731E+00 17 29.26 40.00 1.135E-05 1.232E-03 4.530E-05 4.945E-05 5.495E-05 7.560E-03 4.734E+00 19 32.92 45.00 4.822E-06 5.228E-04 1.968E-05 2.108E-05 2.285E-05 7.561E-03 4.735E+00 21 36.58 50.00 2.048E-06 2.219E-04 8.504E-06 8.975E-06 9.540E-06 7.561E-03 4.736E+00 Waveband 2 of 30 completed in 6.8 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 86.8 m at 425.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 420.0 nm to 430.0 nm: Ed(diffuse) = 4.082E-01 Ed(direct) = 7.412E-01 Ed(total) = 1.149E+00 Absorption Coefficients of Individual Components at 425.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0048 0.0876 0.0232 0.1156 3 3.590 5.000 0.0048 0.0876 0.0232 0.1156 5 7.181 10.000 0.0048 0.0876 0.0232 0.1156 7 10.771 15.000 0.0048 0.0876 0.0232 0.1156 9 14.361 20.000 0.0048 0.0876 0.0232 0.1156 11 17.952 25.000 0.0048 0.0876 0.0232 0.1156 13 21.542 30.000 0.0048 0.0876 0.0232 0.1156 15 25.133 35.000 0.0048 0.0876 0.0232 0.1156 17 28.723 40.000 0.0048 0.0876 0.0232 0.1156 19 32.313 45.000 0.0048 0.0876 0.0232 0.1156 21 35.904 50.000 0.0048 0.0876 0.0232 0.1156 Scattering Coefficients of Individual Components at 425.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0058 0.5967 0.0000 0.6025 3 3.590 5.000 0.0058 0.5967 0.0000 0.6025 5 7.181 10.000 0.0058 0.5967 0.0000 0.6025 7 10.771 15.000 0.0058 0.5967 0.0000 0.6025 9 14.361 20.000 0.0058 0.5967 0.0000 0.6025 11 17.952 25.000 0.0058 0.5967 0.0000 0.6025 13 21.542 30.000 0.0058 0.5967 0.0000 0.6025 15 25.133 35.000 0.0058 0.5967 0.0000 0.6025 17 28.723 40.000 0.0058 0.5967 0.0000 0.6025 19 32.313 45.000 0.0058 0.5967 0.0000 0.6025 21 35.904 50.000 0.0058 0.5967 0.0000 0.6025 Backscattering Coefficients of Individual Components at 425.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00291 0.00597 0.00000 0.00888 3 3.590 5.000 0.00291 0.00597 0.00000 0.00888 5 7.181 10.000 0.00291 0.00597 0.00000 0.00888 7 10.771 15.000 0.00291 0.00597 0.00000 0.00888 9 14.361 20.000 0.00291 0.00597 0.00000 0.00888 11 17.952 25.000 0.00291 0.00597 0.00000 0.00888 13 21.542 30.000 0.00291 0.00597 0.00000 0.00888 15 25.133 35.000 0.00291 0.00597 0.00000 0.00888 17 28.723 40.000 0.00291 0.00597 0.00000 0.00888 19 32.313 45.000 0.00291 0.00597 0.00000 0.00888 21 35.904 50.000 0.00291 0.00597 0.00000 0.00888 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 0.1156 0.6025 0.7181 0.8391 0.00888 0.01474 3 3.590 5.000 0.1156 0.6025 0.7181 0.8391 0.00888 0.01474 5 7.181 10.000 0.1156 0.6025 0.7181 0.8391 0.00888 0.01474 7 10.771 15.000 0.1156 0.6025 0.7181 0.8391 0.00888 0.01474 9 14.361 20.000 0.1156 0.6025 0.7181 0.8391 0.00888 0.01474 11 17.952 25.000 0.1156 0.6025 0.7181 0.8391 0.00888 0.01474 13 21.542 30.000 0.1156 0.6025 0.7181 0.8391 0.00888 0.01474 15 25.133 35.000 0.1156 0.6025 0.7181 0.8391 0.00888 0.01474 17 28.723 40.000 0.1156 0.6025 0.7181 0.8391 0.00888 0.01474 19 32.313 45.000 0.1156 0.6025 0.7181 0.8391 0.00888 0.01474 21 35.904 50.000 0.1156 0.6025 0.7181 0.8391 0.00888 0.01474 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3258E-01 8 20.00 7.7343E-01 7 30.00 5.7541E-01 6 40.00 3.9193E-01 5 50.00 2.5051E-01 4 60.00 1.5449E-01 3 70.00 9.4602E-02 2 80.00 5.9295E-02 1 87.50 4.2554E-02 1 92.50 3.3849E-02 2 100.00 2.5621E-02 3 110.00 1.8781E-02 4 120.00 1.4584E-02 5 130.00 1.2022E-02 6 140.00 1.0448E-02 7 150.00 9.4868E-03 8 160.00 8.9183E-03 9 170.00 8.6186E-03 10 180.00 8.5133E-03 Asymptotic AOP values are MUu(inf) = 0.3785 MUd(inf) = 0.7419 MU(inf) = 0.6725 R(inf) = 0.0337 Lu(inf)/Ed(inf) = 0.007069 (1/sr) k(inf) = 0.1719 (1/m) absorp(check) = 0.1156 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 425.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.5720E-01 1.6797E+00 1.8369E+00 5.5370E-02 1.1494E+00 0.3522 0.6843 0.5956 4.8173E-02 1 0.00 0.00 7.5299E-02 1.3018E+00 1.3771E+00 3.1720E-02 1.1257E+00 0.4213 0.8648 0.7944 2.8177E-02 3 3.59 5.00 4.1261E-02 6.5901E-01 7.0027E-01 1.6289E-02 5.2372E-01 0.3948 0.7947 0.7246 3.1103E-02 5 7.18 10.00 1.9462E-02 3.0248E-01 3.2194E-01 7.5195E-03 2.3231E-01 0.3864 0.7680 0.6983 3.2368E-02 7 10.77 15.00 8.6953E-03 1.3342E-01 1.4212E-01 3.3261E-03 1.0077E-01 0.3825 0.7553 0.6857 3.3006E-02 9 14.36 20.00 3.7848E-03 5.7703E-02 6.1487E-02 1.4404E-03 4.3210E-02 0.3806 0.7488 0.6793 3.3336E-02 11 17.95 25.00 1.6259E-03 2.4707E-02 2.6333E-02 6.1722E-04 1.8421E-02 0.3796 0.7456 0.6761 3.3507E-02 13 21.54 30.00 6.9376E-04 1.0525E-02 1.1218E-02 2.6301E-04 7.8287E-03 0.3791 0.7438 0.6744 3.3596E-02 15 25.13 35.00 2.9499E-04 4.4711E-03 4.7660E-03 1.1176E-04 3.3218E-03 0.3788 0.7430 0.6735 3.3643E-02 17 28.72 40.00 1.2520E-04 1.8967E-03 2.0219E-03 4.7414E-05 1.4083E-03 0.3787 0.7425 0.6730 3.3669E-02 19 32.31 45.00 5.3086E-05 8.0402E-04 8.5710E-04 2.0100E-05 5.9675E-04 0.3786 0.7422 0.6728 3.3683E-02 21 35.90 50.00 2.2497E-05 3.4068E-04 3.6318E-04 8.5174E-06 2.5281E-04 0.3786 0.7421 0.6726 3.3691E-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 0.08780 0.11689 0.11530 0.11045 0.14449 0.14548 0.13870 5.000 5.010 5.005 0.14122 0.14932 0.14884 0.14766 0.15911 0.15948 0.15690 10.000 10.010 10.005 0.15710 0.16068 0.16047 0.15992 0.16532 0.16550 0.16423 15.000 15.010 15.005 0.16433 0.16610 0.16599 0.16572 0.16844 0.16854 0.16789 20.000 20.010 20.005 0.16796 0.16885 0.16880 0.16866 0.17006 0.17011 0.16977 25.000 25.010 25.005 0.16981 0.17027 0.17024 0.17017 0.17090 0.17092 0.17074 30.000 30.010 30.005 0.17076 0.17100 0.17099 0.17095 0.17133 0.17135 0.17125 35.000 35.010 35.005 0.17126 0.17139 0.17138 0.17136 0.17156 0.17157 0.17152 40.000 40.010 40.005 0.17152 0.17159 0.17159 0.17157 0.17169 0.17169 0.17166 45.000 45.010 45.005 0.17166 0.17170 0.17170 0.17169 0.17175 0.17176 0.17174 50.000 50.010 50.005 0.17174 0.17176 0.17176 0.17175 0.17179 0.17179 0.17178 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 425.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.10138E-01 4.15021E-03 6.57864E-03 1.07288E-02 3.61079E-03 0.059731 9 1 10.0 0.0 180.0 6.79596E-02 4.25201E-03 2.22558E-03 6.47759E-03 3.69936E-03 0.032749 9 4 10.0 45.0 135.0 7.46693E-02 4.22197E-03 2.55379E-03 6.77576E-03 3.67322E-03 0.034201 9 7 10.0 90.0 90.0 1.00884E-01 4.18569E-03 4.91474E-03 9.10043E-03 3.64166E-03 0.048717 8 1 20.0 0.0 180.0 5.33813E-02 4.31668E-03 1.29256E-03 5.60924E-03 3.75562E-03 0.024214 8 4 20.0 45.0 135.0 5.94278E-02 4.25339E-03 1.50748E-03 5.76087E-03 3.70056E-03 0.025367 8 7 20.0 90.0 90.0 8.73858E-02 4.20511E-03 3.09254E-03 7.29765E-03 3.65855E-03 0.035390 7 1 30.0 0.0 180.0 4.62845E-02 4.40245E-03 1.11418E-03 5.51664E-03 3.83024E-03 0.024072 7 4 30.0 45.0 135.0 5.13067E-02 4.36798E-03 1.25022E-03 5.61820E-03 3.80025E-03 0.024368 7 7 30.0 90.0 90.0 7.48801E-02 4.28485E-03 2.08794E-03 6.37279E-03 3.72793E-03 0.027884 6 1 40.0 0.0 180.0 4.39327E-02 4.47336E-03 1.23883E-03 5.71219E-03 3.89193E-03 0.028198 6 4 40.0 45.0 135.0 4.80381E-02 4.42503E-03 1.34358E-03 5.76861E-03 3.84988E-03 0.027969 6 7 40.0 90.0 90.0 6.74447E-02 4.33860E-03 1.94194E-03 6.28054E-03 3.77469E-03 0.028793 5 1 50.0 0.0 180.0 4.60620E-02 4.56134E-03 1.95693E-03 6.51827E-03 3.96848E-03 0.042485 5 4 50.0 45.0 135.0 4.90853E-02 4.48431E-03 2.03876E-03 6.52307E-03 3.90146E-03 0.041535 5 7 50.0 90.0 90.0 6.52465E-02 4.40623E-03 2.63572E-03 7.04195E-03 3.83353E-03 0.040396 4 1 60.0 0.0 180.0 5.46763E-02 4.52449E-03 4.55872E-03 9.08322E-03 3.93642E-03 0.083377 4 4 60.0 45.0 135.0 5.59137E-02 4.43945E-03 4.50166E-03 8.94111E-03 3.86243E-03 0.080511 4 7 60.0 90.0 90.0 6.90461E-02 4.42198E-03 5.25692E-03 9.67889E-03 3.84723E-03 0.076136 3 1 70.0 0.0 180.0 7.58638E-02 4.22523E-03 1.25924E-02 1.68176E-02 3.67606E-03 0.165987 3 4 70.0 45.0 135.0 7.37285E-02 4.19003E-03 1.21162E-02 1.63063E-02 3.64543E-03 0.164336 3 7 70.0 90.0 90.0 8.24268E-02 4.18603E-03 1.31758E-02 1.73619E-02 3.64195E-03 0.159849 2 1 80.0 0.0 180.0 1.28894E-01 3.63931E-03 3.13010E-02 3.49403E-02 3.16629E-03 0.242843 2 4 80.0 45.0 135.0 1.19353E-01 3.60027E-03 3.02746E-02 3.38748E-02 3.13232E-03 0.253655 2 7 80.0 90.0 90.0 1.18578E-01 3.60858E-03 3.17057E-02 3.53143E-02 3.13955E-03 0.267382 1 1 87.5 0.0 180.0 2.08398E-01 2.94577E-03 5.52036E-02 5.81494E-02 2.56289E-03 0.264896 1 4 87.5 45.0 135.0 1.87636E-01 2.77508E-03 5.48628E-02 5.76379E-02 2.41439E-03 0.292389 1 7 87.5 90.0 90.0 1.70708E-01 3.08823E-03 5.61485E-02 5.92367E-02 2.68683E-03 0.328916 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 1.073E-02 1.101E-01 1.333E-01 1.150E-01 1.722E-01 9.334E-03 5.161E+00 4.150E-03 3.611E-03 1 0.00 0.00 7.700E-03 2.050E-01 1.550E-02 1.785E-02 2.470E-02 6.840E-03 4.120E+00 3 3.59 5.00 3.646E-03 2.604E-01 9.290E-03 1.198E-02 1.947E-02 6.962E-03 4.467E+00 5 7.18 10.00 1.630E-03 1.584E-01 4.709E-03 6.092E-03 9.494E-03 7.017E-03 4.613E+00 7 10.77 15.00 7.099E-04 7.771E-02 2.246E-03 2.847E-03 4.150E-03 7.045E-03 4.685E+00 9 14.36 20.00 3.050E-04 3.502E-02 1.038E-03 1.277E-03 1.736E-03 7.059E-03 4.722E+00 11 17.95 25.00 1.302E-04 1.522E-02 4.697E-04 5.595E-04 7.140E-04 7.067E-03 4.741E+00 13 21.54 30.00 5.535E-05 6.511E-03 2.093E-04 2.418E-04 2.926E-04 7.071E-03 4.751E+00 15 25.13 35.00 2.349E-05 2.767E-03 9.223E-05 1.037E-04 1.202E-04 7.073E-03 4.757E+00 17 28.72 40.00 9.962E-06 1.173E-03 4.028E-05 4.424E-05 4.955E-05 7.074E-03 4.760E+00 19 32.31 45.00 4.222E-06 4.967E-04 1.747E-05 1.882E-05 2.053E-05 7.075E-03 4.761E+00 21 35.90 50.00 1.789E-06 2.103E-04 7.538E-06 7.992E-06 8.542E-06 7.075E-03 4.762E+00 Waveband 3 of 30 completed in 7.0 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 86.8 m at 435.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 430.0 nm to 440.0 nm: Ed(diffuse) = 4.073E-01 Ed(direct) = 7.763E-01 Ed(total) = 1.184E+00 Absorption Coefficients of Individual Components at 435.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0053 0.0942 0.0202 0.1196 3 3.539 5.000 0.0053 0.0942 0.0202 0.1196 5 7.079 10.000 0.0053 0.0942 0.0202 0.1196 7 10.618 15.000 0.0053 0.0942 0.0202 0.1196 9 14.157 20.000 0.0053 0.0942 0.0202 0.1196 11 17.697 25.000 0.0053 0.0942 0.0202 0.1196 13 21.236 30.000 0.0053 0.0942 0.0202 0.1196 15 24.776 35.000 0.0053 0.0942 0.0202 0.1196 17 28.315 40.000 0.0053 0.0942 0.0202 0.1196 19 31.854 45.000 0.0053 0.0942 0.0202 0.1196 21 35.394 50.000 0.0053 0.0942 0.0202 0.1196 Scattering Coefficients of Individual Components at 435.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0053 0.5830 0.0000 0.5882 3 3.539 5.000 0.0053 0.5830 0.0000 0.5882 5 7.079 10.000 0.0053 0.5830 0.0000 0.5882 7 10.618 15.000 0.0053 0.5830 0.0000 0.5882 9 14.157 20.000 0.0053 0.5830 0.0000 0.5882 11 17.697 25.000 0.0053 0.5830 0.0000 0.5882 13 21.236 30.000 0.0053 0.5830 0.0000 0.5882 15 24.776 35.000 0.0053 0.5830 0.0000 0.5882 17 28.315 40.000 0.0053 0.5830 0.0000 0.5882 19 31.854 45.000 0.0053 0.5830 0.0000 0.5882 21 35.394 50.000 0.0053 0.5830 0.0000 0.5882 Backscattering Coefficients of Individual Components at 435.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00264 0.00583 0.00000 0.00847 3 3.539 5.000 0.00264 0.00583 0.00000 0.00847 5 7.079 10.000 0.00264 0.00583 0.00000 0.00847 7 10.618 15.000 0.00264 0.00583 0.00000 0.00847 9 14.157 20.000 0.00264 0.00583 0.00000 0.00847 11 17.697 25.000 0.00264 0.00583 0.00000 0.00847 13 21.236 30.000 0.00264 0.00583 0.00000 0.00847 15 24.776 35.000 0.00264 0.00583 0.00000 0.00847 17 28.315 40.000 0.00264 0.00583 0.00000 0.00847 19 31.854 45.000 0.00264 0.00583 0.00000 0.00847 21 35.394 50.000 0.00264 0.00583 0.00000 0.00847 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 0.1196 0.5882 0.7079 0.8310 0.00847 0.01439 3 3.539 5.000 0.1196 0.5882 0.7079 0.8310 0.00847 0.01439 5 7.079 10.000 0.1196 0.5882 0.7079 0.8310 0.00847 0.01439 7 10.618 15.000 0.1196 0.5882 0.7079 0.8310 0.00847 0.01439 9 14.157 20.000 0.1196 0.5882 0.7079 0.8310 0.00847 0.01439 11 17.697 25.000 0.1196 0.5882 0.7079 0.8310 0.00847 0.01439 13 21.236 30.000 0.1196 0.5882 0.7079 0.8310 0.00847 0.01439 15 24.776 35.000 0.1196 0.5882 0.7079 0.8310 0.00847 0.01439 17 28.315 40.000 0.1196 0.5882 0.7079 0.8310 0.00847 0.01439 19 31.854 45.000 0.1196 0.5882 0.7079 0.8310 0.00847 0.01439 21 35.394 50.000 0.1196 0.5882 0.7079 0.8310 0.00847 0.01439 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3025E-01 8 20.00 7.6638E-01 7 30.00 5.6439E-01 6 40.00 3.7960E-01 5 50.00 2.3930E-01 4 60.00 1.4555E-01 3 70.00 8.7998E-02 2 80.00 5.4549E-02 1 87.50 3.8876E-02 1 92.50 3.0800E-02 2 100.00 2.3201E-02 3 110.00 1.6923E-02 4 120.00 1.3097E-02 5 130.00 1.0774E-02 6 140.00 9.3547E-03 7 150.00 8.4909E-03 8 160.00 7.9819E-03 9 170.00 7.7143E-03 10 180.00 7.6204E-03 Asymptotic AOP values are MUu(inf) = 0.3770 MUd(inf) = 0.7473 MU(inf) = 0.6823 R(inf) = 0.0310 Lu(inf)/Ed(inf) = 0.006479 (1/sr) k(inf) = 0.1754 (1/m) absorp(check) = 0.1197 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 435.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.5656E-01 1.7187E+00 1.8753E+00 5.5369E-02 1.1836E+00 0.3536 0.6887 0.6016 4.6779E-02 1 0.00 0.00 7.1643E-02 1.3350E+00 1.4067E+00 3.0055E-02 1.1583E+00 0.4195 0.8676 0.8021 2.5948E-02 3 3.54 5.00 3.8532E-02 6.6197E-01 7.0051E-01 1.5148E-02 5.2900E-01 0.3931 0.7991 0.7335 2.8636E-02 5 7.08 10.00 1.7845E-02 2.9815E-01 3.1600E-01 6.8673E-03 2.3047E-01 0.3848 0.7730 0.7076 2.9797E-02 7 10.62 15.00 7.8324E-03 1.2915E-01 1.3698E-01 2.9840E-03 9.8207E-02 0.3810 0.7604 0.6952 3.0385E-02 9 14.16 20.00 3.3497E-03 5.4868E-02 5.8218E-02 1.2698E-03 4.1375E-02 0.3791 0.7541 0.6889 3.0690E-02 11 17.70 25.00 1.4136E-03 2.3075E-02 2.4489E-02 5.3447E-04 1.7326E-02 0.3781 0.7508 0.6857 3.0848E-02 13 21.24 30.00 5.9260E-04 9.6567E-03 1.0249E-02 2.2377E-04 7.2344E-03 0.3776 0.7492 0.6840 3.0931E-02 15 24.78 35.00 2.4757E-04 4.0305E-03 4.2780E-03 9.3420E-05 3.0159E-03 0.3774 0.7483 0.6831 3.0975E-02 17 28.31 40.00 1.0324E-04 1.6799E-03 1.7831E-03 3.8943E-05 1.2563E-03 0.3772 0.7478 0.6827 3.0999E-02 19 31.85 45.00 4.3012E-05 6.9968E-04 7.4269E-04 1.6222E-05 5.2306E-04 0.3771 0.7476 0.6824 3.1013E-02 21 35.39 50.00 1.7910E-05 2.9130E-04 3.0921E-04 6.7542E-06 2.1773E-04 0.3771 0.7474 0.6823 3.1021E-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 0.08995 0.12069 0.11912 0.11381 0.14824 0.14916 0.14240 5.000 5.010 5.005 0.14496 0.15322 0.15277 0.15134 0.16275 0.16308 0.16053 10.000 10.010 10.005 0.16069 0.16437 0.16416 0.16349 0.16889 0.16905 0.16779 15.000 15.010 15.005 0.16788 0.16970 0.16960 0.16926 0.17199 0.17208 0.17143 20.000 20.010 20.005 0.17149 0.17242 0.17237 0.17219 0.17360 0.17364 0.17330 25.000 25.010 25.005 0.17334 0.17382 0.17379 0.17370 0.17443 0.17445 0.17427 30.000 30.010 30.005 0.17429 0.17455 0.17453 0.17448 0.17486 0.17488 0.17478 35.000 35.010 35.005 0.17479 0.17492 0.17491 0.17488 0.17509 0.17510 0.17504 40.000 40.010 40.005 0.17504 0.17512 0.17512 0.17509 0.17521 0.17521 0.17518 45.000 45.010 45.005 0.17518 0.17522 0.17522 0.17521 0.17527 0.17528 0.17525 50.000 50.010 50.005 0.17525 0.17528 0.17528 0.17527 0.17531 0.17531 0.17529 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 435.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.09916E-01 3.91660E-03 6.75154E-03 1.06681E-02 3.30897E-03 0.061424 9 1 10.0 0.0 180.0 6.78230E-02 4.01332E-03 2.24609E-03 6.25941E-03 3.39068E-03 0.033117 9 4 10.0 45.0 135.0 7.45191E-02 3.98468E-03 2.58081E-03 6.56548E-03 3.36649E-03 0.034633 9 7 10.0 90.0 90.0 1.00682E-01 3.94988E-03 5.02001E-03 8.96990E-03 3.33709E-03 0.049860 8 1 20.0 0.0 180.0 5.32740E-02 4.07459E-03 1.29122E-03 5.36581E-03 3.44245E-03 0.024237 8 4 20.0 45.0 135.0 5.93083E-02 4.01433E-03 1.50772E-03 5.52205E-03 3.39154E-03 0.025422 8 7 20.0 90.0 90.0 8.72100E-02 3.96795E-03 3.13012E-03 7.09807E-03 3.35235E-03 0.035892 7 1 30.0 0.0 180.0 4.61914E-02 4.15563E-03 1.11194E-03 5.26757E-03 3.51092E-03 0.024072 7 4 30.0 45.0 135.0 5.12045E-02 4.12237E-03 1.24786E-03 5.37023E-03 3.48282E-03 0.024370 7 7 30.0 90.0 90.0 7.47236E-02 4.04295E-03 2.09235E-03 6.13531E-03 3.41572E-03 0.028001 6 1 40.0 0.0 180.0 4.38444E-02 4.22240E-03 1.23634E-03 5.45874E-03 3.56733E-03 0.028198 6 4 40.0 45.0 135.0 4.79415E-02 4.17591E-03 1.34088E-03 5.51679E-03 3.52805E-03 0.027969 6 7 40.0 90.0 90.0 6.73091E-02 4.09358E-03 1.93860E-03 6.03218E-03 3.45850E-03 0.028801 5 1 50.0 0.0 180.0 4.59694E-02 4.30528E-03 1.95299E-03 6.25827E-03 3.63735E-03 0.042485 5 4 50.0 45.0 135.0 4.89866E-02 4.23172E-03 2.03466E-03 6.26638E-03 3.57521E-03 0.041535 5 7 50.0 90.0 90.0 6.51153E-02 4.15798E-03 2.63042E-03 6.78840E-03 3.51290E-03 0.040396 4 1 60.0 0.0 180.0 5.45664E-02 4.27040E-03 4.54956E-03 8.81996E-03 3.60789E-03 0.083377 4 4 60.0 45.0 135.0 5.58013E-02 4.18942E-03 4.49261E-03 8.68203E-03 3.53947E-03 0.080511 4 7 60.0 90.0 90.0 6.89073E-02 4.17380E-03 5.24635E-03 9.42015E-03 3.52627E-03 0.076136 3 1 70.0 0.0 180.0 7.57113E-02 3.98817E-03 1.25671E-02 1.65553E-02 3.36944E-03 0.165987 3 4 70.0 45.0 135.0 7.35803E-02 3.95457E-03 1.20919E-02 1.60464E-02 3.34105E-03 0.164336 3 7 70.0 90.0 90.0 8.22610E-02 3.95306E-03 1.31493E-02 1.71024E-02 3.33978E-03 0.159849 2 1 80.0 0.0 180.0 1.28635E-01 3.43552E-03 3.12380E-02 3.46736E-02 2.90253E-03 0.242843 2 4 80.0 45.0 135.0 1.19113E-01 3.39866E-03 3.02137E-02 3.36123E-02 2.87139E-03 0.253655 2 7 80.0 90.0 90.0 1.18340E-01 3.40969E-03 3.16419E-02 3.50516E-02 2.88071E-03 0.267382 1 1 87.5 0.0 180.0 2.07978E-01 2.78146E-03 5.50926E-02 5.78741E-02 2.34994E-03 0.264896 1 4 87.5 45.0 135.0 1.87259E-01 2.62057E-03 5.47525E-02 5.73731E-02 2.21401E-03 0.292389 1 7 87.5 90.0 90.0 1.70364E-01 2.92028E-03 5.60356E-02 5.89559E-02 2.46722E-03 0.328916 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 1.067E-02 1.099E-01 1.329E-01 1.147E-01 1.717E-01 9.013E-03 5.190E+00 3.917E-03 3.309E-03 1 0.00 0.00 7.266E-03 2.046E-01 1.472E-02 1.707E-02 2.387E-02 6.273E-03 4.136E+00 3 3.54 5.00 3.378E-03 2.600E-01 8.688E-03 1.129E-02 1.857E-02 6.386E-03 4.484E+00 5 7.08 10.00 1.484E-03 1.571E-01 4.321E-03 5.633E-03 8.887E-03 6.437E-03 4.629E+00 7 10.62 15.00 6.347E-04 7.634E-02 2.024E-03 2.586E-03 3.817E-03 6.463E-03 4.701E+00 9 14.16 20.00 2.680E-04 3.400E-02 9.193E-04 1.140E-03 1.568E-03 6.476E-03 4.739E+00 11 17.70 25.00 1.123E-04 1.457E-02 4.089E-04 4.908E-04 6.335E-04 6.484E-03 4.758E+00 13 21.24 30.00 4.693E-05 6.138E-03 1.792E-04 2.085E-04 2.549E-04 6.487E-03 4.768E+00 15 24.78 35.00 1.957E-05 2.567E-03 7.766E-05 8.786E-05 1.027E-04 6.490E-03 4.773E+00 17 28.31 40.00 8.154E-06 1.070E-03 3.336E-05 3.684E-05 4.159E-05 6.491E-03 4.776E+00 19 31.85 45.00 3.396E-06 4.454E-04 1.423E-05 1.540E-05 1.691E-05 6.492E-03 4.777E+00 21 35.39 50.00 1.414E-06 1.854E-04 6.037E-06 6.429E-06 6.908E-06 6.493E-03 4.778E+00 Waveband 4 of 30 completed in 6.9 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 86.8 m at 445.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 440.0 nm to 450.0 nm: Ed(diffuse) = 4.682E-01 Ed(direct) = 9.292E-01 Ed(total) = 1.397E+00 Absorption Coefficients of Individual Components at 445.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0075 0.0913 0.0176 0.1164 3 3.455 5.000 0.0075 0.0913 0.0176 0.1164 5 6.910 10.000 0.0075 0.0913 0.0176 0.1164 7 10.365 15.000 0.0075 0.0913 0.0176 0.1164 9 13.821 20.000 0.0075 0.0913 0.0176 0.1164 11 17.276 25.000 0.0075 0.0913 0.0176 0.1164 13 20.731 30.000 0.0075 0.0913 0.0176 0.1164 15 24.186 35.000 0.0075 0.0913 0.0176 0.1164 17 27.641 40.000 0.0075 0.0913 0.0176 0.1164 19 31.096 45.000 0.0075 0.0913 0.0176 0.1164 21 34.551 50.000 0.0075 0.0913 0.0176 0.1164 Scattering Coefficients of Individual Components at 445.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0048 0.5699 0.0000 0.5746 3 3.455 5.000 0.0048 0.5699 0.0000 0.5746 5 6.910 10.000 0.0048 0.5699 0.0000 0.5746 7 10.365 15.000 0.0048 0.5699 0.0000 0.5746 9 13.821 20.000 0.0048 0.5699 0.0000 0.5746 11 17.276 25.000 0.0048 0.5699 0.0000 0.5746 13 20.731 30.000 0.0048 0.5699 0.0000 0.5746 15 24.186 35.000 0.0048 0.5699 0.0000 0.5746 17 27.641 40.000 0.0048 0.5699 0.0000 0.5746 19 31.096 45.000 0.0048 0.5699 0.0000 0.5746 21 34.551 50.000 0.0048 0.5699 0.0000 0.5746 Backscattering Coefficients of Individual Components at 445.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00239 0.00570 0.00000 0.00809 3 3.455 5.000 0.00239 0.00570 0.00000 0.00809 5 6.910 10.000 0.00239 0.00570 0.00000 0.00809 7 10.365 15.000 0.00239 0.00570 0.00000 0.00809 9 13.821 20.000 0.00239 0.00570 0.00000 0.00809 11 17.276 25.000 0.00239 0.00570 0.00000 0.00809 13 20.731 30.000 0.00239 0.00570 0.00000 0.00809 15 24.186 35.000 0.00239 0.00570 0.00000 0.00809 17 27.641 40.000 0.00239 0.00570 0.00000 0.00809 19 31.096 45.000 0.00239 0.00570 0.00000 0.00809 21 34.551 50.000 0.00239 0.00570 0.00000 0.00809 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 0.1164 0.5746 0.6910 0.8316 0.00809 0.01408 3 3.455 5.000 0.1164 0.5746 0.6910 0.8316 0.00809 0.01408 5 6.910 10.000 0.1164 0.5746 0.6910 0.8316 0.00809 0.01408 7 10.365 15.000 0.1164 0.5746 0.6910 0.8316 0.00809 0.01408 9 13.821 20.000 0.1164 0.5746 0.6910 0.8316 0.00809 0.01408 11 17.276 25.000 0.1164 0.5746 0.6910 0.8316 0.00809 0.01408 13 20.731 30.000 0.1164 0.5746 0.6910 0.8316 0.00809 0.01408 15 24.186 35.000 0.1164 0.5746 0.6910 0.8316 0.00809 0.01408 17 27.641 40.000 0.1164 0.5746 0.6910 0.8316 0.00809 0.01408 19 31.096 45.000 0.1164 0.5746 0.6910 0.8316 0.00809 0.01408 21 34.551 50.000 0.1164 0.5746 0.6910 0.8316 0.00809 0.01408 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3043E-01 8 20.00 7.6690E-01 7 30.00 5.6515E-01 6 40.00 3.8037E-01 5 50.00 2.3991E-01 4 60.00 1.4594E-01 3 70.00 8.8190E-02 2 80.00 5.4608E-02 1 87.50 3.8867E-02 1 92.50 3.0753E-02 2 100.00 2.3122E-02 3 110.00 1.6819E-02 4 120.00 1.2980E-02 5 130.00 1.0649E-02 6 140.00 9.2247E-03 7 150.00 8.3579E-03 8 160.00 7.8470E-03 9 170.00 7.5785E-03 10 180.00 7.4843E-03 Asymptotic AOP values are MUu(inf) = 0.3756 MUd(inf) = 0.7472 MU(inf) = 0.6828 R(inf) = 0.0306 Lu(inf)/Ed(inf) = 0.006355 (1/sr) k(inf) = 0.1705 (1/m) absorp(check) = 0.1164 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 445.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.8131E-01 2.0183E+00 2.1997E+00 6.4617E-02 1.3974E+00 0.3564 0.6924 0.6059 4.6241E-02 1 0.00 0.00 8.3448E-02 1.5745E+00 1.6579E+00 3.4940E-02 1.3677E+00 0.4187 0.8687 0.8039 2.5547E-02 3 3.46 5.00 4.5977E-02 7.9877E-01 8.4475E-01 1.8040E-02 6.3958E-01 0.3924 0.8007 0.7358 2.8207E-02 5 6.91 10.00 2.1864E-02 3.6902E-01 3.9088E-01 8.3938E-03 2.8569E-01 0.3839 0.7742 0.7094 2.9381E-02 7 10.37 15.00 9.8522E-03 1.6400E-01 1.7385E-01 3.7433E-03 1.2484E-01 0.3799 0.7612 0.6966 2.9985E-02 9 13.82 20.00 4.3238E-03 7.1465E-02 7.5789E-02 1.6341E-03 5.3926E-02 0.3779 0.7546 0.6900 3.0303E-02 11 17.28 25.00 1.8719E-03 3.0826E-02 3.2698E-02 7.0552E-04 2.3154E-02 0.3769 0.7511 0.6865 3.0471E-02 13 20.73 30.00 8.0470E-04 1.3226E-02 1.4031E-02 3.0285E-04 9.9102E-03 0.3764 0.7493 0.6847 3.0560E-02 15 24.19 35.00 3.4464E-04 5.6587E-03 6.0033E-03 1.2961E-04 4.2346E-03 0.3761 0.7483 0.6838 3.0607E-02 17 27.64 40.00 1.4731E-04 2.4174E-03 2.5647E-03 5.5376E-05 1.8078E-03 0.3759 0.7478 0.6833 3.0632E-02 19 31.10 45.00 6.2899E-05 1.0319E-03 1.0948E-03 2.3640E-05 7.7137E-04 0.3758 0.7475 0.6830 3.0646E-02 21 34.55 50.00 2.6842E-05 4.4029E-04 4.6713E-04 1.0087E-05 3.2906E-04 0.3758 0.7474 0.6828 3.0654E-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 0.08599 0.11686 0.11531 0.10968 0.14387 0.14477 0.13797 5.000 5.010 5.005 0.13974 0.14825 0.14779 0.14621 0.15782 0.15816 0.15553 10.000 10.010 10.005 0.15540 0.15924 0.15902 0.15828 0.16386 0.16403 0.16271 15.000 15.010 15.005 0.16265 0.16458 0.16447 0.16410 0.16697 0.16705 0.16637 20.000 20.010 20.005 0.16635 0.16735 0.16730 0.16710 0.16860 0.16865 0.16829 25.000 25.010 25.005 0.16829 0.16881 0.16878 0.16868 0.16947 0.16949 0.16930 30.000 30.010 30.005 0.16930 0.16958 0.16956 0.16951 0.16992 0.16994 0.16983 35.000 35.010 35.005 0.16983 0.16998 0.16997 0.16994 0.17017 0.17017 0.17012 40.000 40.010 40.005 0.17012 0.17020 0.17019 0.17018 0.17030 0.17030 0.17027 45.000 45.010 45.005 0.17027 0.17031 0.17031 0.17030 0.17037 0.17037 0.17035 50.000 50.010 50.005 0.17035 0.17038 0.17038 0.17037 0.17041 0.17041 0.17040 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 445.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.26342E-01 4.53204E-03 7.94837E-03 1.24804E-02 3.24318E-03 0.062911 9 1 10.0 0.0 180.0 7.79584E-02 4.64201E-03 2.60697E-03 7.24898E-03 3.32188E-03 0.033441 9 4 10.0 45.0 135.0 8.56552E-02 4.60956E-03 2.99894E-03 7.60850E-03 3.29866E-03 0.035012 9 7 10.0 90.0 90.0 1.15727E-01 4.57110E-03 5.88645E-03 1.04575E-02 3.27113E-03 0.050865 8 1 20.0 0.0 180.0 6.12352E-02 4.71240E-03 1.48545E-03 6.19785E-03 3.37225E-03 0.024258 8 4 20.0 45.0 135.0 6.81713E-02 4.64383E-03 1.73634E-03 6.38016E-03 3.32318E-03 0.025470 8 7 20.0 90.0 90.0 1.00243E-01 4.59318E-03 3.64209E-03 8.23527E-03 3.28693E-03 0.036333 7 1 30.0 0.0 180.0 5.30942E-02 4.80607E-03 1.27811E-03 6.08418E-03 3.43928E-03 0.024072 7 4 30.0 45.0 135.0 5.88574E-02 4.76916E-03 1.43450E-03 6.20366E-03 3.41287E-03 0.024372 7 7 30.0 90.0 90.0 8.58844E-02 4.68161E-03 2.41373E-03 7.09534E-03 3.35022E-03 0.028104 6 1 40.0 0.0 180.0 5.03965E-02 4.88389E-03 1.42110E-03 6.30499E-03 3.49497E-03 0.028198 6 4 40.0 45.0 135.0 5.51058E-02 4.83224E-03 1.54126E-03 6.37351E-03 3.45801E-03 0.027969 6 7 40.0 90.0 90.0 7.73677E-02 4.74312E-03 2.22887E-03 6.97199E-03 3.39424E-03 0.028809 5 1 50.0 0.0 180.0 5.28390E-02 4.98074E-03 2.24484E-03 7.22558E-03 3.56428E-03 0.042485 5 4 50.0 45.0 135.0 5.63071E-02 4.89830E-03 2.33872E-03 7.23702E-03 3.50528E-03 0.041535 5 7 50.0 90.0 90.0 7.48461E-02 4.82080E-03 3.02351E-03 7.84430E-03 3.44982E-03 0.040396 4 1 60.0 0.0 180.0 6.27208E-02 4.94153E-03 5.22944E-03 1.01710E-02 3.53621E-03 0.083377 4 4 60.0 45.0 135.0 6.41402E-02 4.85094E-03 5.16398E-03 1.00149E-02 3.47139E-03 0.080511 4 7 60.0 90.0 90.0 7.92047E-02 4.84232E-03 6.03036E-03 1.08727E-02 3.46522E-03 0.076136 3 1 70.0 0.0 180.0 8.70255E-02 4.61631E-03 1.44451E-02 1.90614E-02 3.30348E-03 0.165987 3 4 70.0 45.0 135.0 8.45761E-02 4.58086E-03 1.38989E-02 1.84797E-02 3.27812E-03 0.164336 3 7 70.0 90.0 90.0 9.45540E-02 4.58969E-03 1.51144E-02 1.97041E-02 3.28444E-03 0.159849 2 1 80.0 0.0 180.0 1.47858E-01 3.97774E-03 3.59062E-02 3.98840E-02 2.84652E-03 0.242843 2 4 80.0 45.0 135.0 1.36913E-01 3.93843E-03 3.47288E-02 3.86672E-02 2.81839E-03 0.253655 2 7 80.0 90.0 90.0 1.36024E-01 3.96150E-03 3.63705E-02 4.03320E-02 2.83490E-03 0.267382 1 1 87.5 0.0 180.0 2.39059E-01 3.22136E-03 6.33256E-02 6.65470E-02 2.30525E-03 0.264896 1 4 87.5 45.0 135.0 2.15243E-01 3.03791E-03 6.29347E-02 6.59726E-02 2.17396E-03 0.292389 1 7 87.5 90.0 90.0 1.95824E-01 3.39511E-03 6.44095E-02 6.78046E-02 2.42958E-03 0.328916 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 1.248E-02 1.263E-01 1.528E-01 1.318E-01 1.974E-01 8.931E-03 5.177E+00 4.532E-03 3.243E-03 1 0.00 0.00 8.408E-03 2.352E-01 1.707E-02 1.990E-02 2.801E-02 6.147E-03 4.156E+00 3 3.46 5.00 4.004E-03 3.092E-01 1.032E-02 1.348E-02 2.234E-02 6.261E-03 4.505E+00 5 6.91 10.00 1.803E-03 1.927E-01 5.267E-03 6.910E-03 1.100E-02 6.312E-03 4.655E+00 7 10.37 15.00 7.914E-04 9.642E-02 2.533E-03 3.260E-03 4.863E-03 6.339E-03 4.730E+00 9 13.82 20.00 3.426E-04 4.414E-02 1.181E-03 1.475E-03 2.053E-03 6.353E-03 4.770E+00 11 17.28 25.00 1.473E-04 1.942E-02 5.392E-04 6.522E-04 8.514E-04 6.360E-03 4.791E+00 13 20.73 30.00 6.307E-05 8.395E-03 2.425E-04 2.843E-04 3.512E-04 6.364E-03 4.802E+00 15 24.19 35.00 2.696E-05 3.599E-03 1.079E-04 1.229E-04 1.451E-04 6.366E-03 4.808E+00 17 27.64 40.00 1.151E-05 1.538E-03 4.754E-05 5.284E-05 6.015E-05 6.368E-03 4.811E+00 19 31.10 45.00 4.912E-06 6.562E-04 2.080E-05 2.265E-05 2.505E-05 6.368E-03 4.812E+00 21 34.55 50.00 2.096E-06 2.798E-04 9.054E-06 9.690E-06 1.048E-05 6.369E-03 4.813E+00 Waveband 5 of 30 completed in 6.6 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 86.8 m at 455.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 450.0 nm to 460.0 nm: Ed(diffuse) = 4.888E-01 Ed(direct) = 1.007E+00 Ed(total) = 1.495E+00 Absorption Coefficients of Individual Components at 455.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0096 0.0866 0.0153 0.1115 3 3.366 5.000 0.0096 0.0866 0.0153 0.1115 5 6.732 10.000 0.0096 0.0866 0.0153 0.1115 7 10.098 15.000 0.0096 0.0866 0.0153 0.1115 9 13.463 20.000 0.0096 0.0866 0.0153 0.1115 11 16.829 25.000 0.0096 0.0866 0.0153 0.1115 13 20.195 30.000 0.0096 0.0866 0.0153 0.1115 15 23.561 35.000 0.0096 0.0866 0.0153 0.1115 17 26.927 40.000 0.0096 0.0866 0.0153 0.1115 19 30.293 45.000 0.0096 0.0866 0.0153 0.1115 21 33.659 50.000 0.0096 0.0866 0.0153 0.1115 Scattering Coefficients of Individual Components at 455.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0043 0.5573 0.0000 0.5617 3 3.366 5.000 0.0043 0.5573 0.0000 0.5617 5 6.732 10.000 0.0043 0.5573 0.0000 0.5617 7 10.098 15.000 0.0043 0.5573 0.0000 0.5617 9 13.463 20.000 0.0043 0.5573 0.0000 0.5617 11 16.829 25.000 0.0043 0.5573 0.0000 0.5617 13 20.195 30.000 0.0043 0.5573 0.0000 0.5617 15 23.561 35.000 0.0043 0.5573 0.0000 0.5617 17 26.927 40.000 0.0043 0.5573 0.0000 0.5617 19 30.293 45.000 0.0043 0.5573 0.0000 0.5617 21 33.659 50.000 0.0043 0.5573 0.0000 0.5617 Backscattering Coefficients of Individual Components at 455.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00217 0.00557 0.00000 0.00774 3 3.366 5.000 0.00217 0.00557 0.00000 0.00774 5 6.732 10.000 0.00217 0.00557 0.00000 0.00774 7 10.098 15.000 0.00217 0.00557 0.00000 0.00774 9 13.463 20.000 0.00217 0.00557 0.00000 0.00774 11 16.829 25.000 0.00217 0.00557 0.00000 0.00774 13 20.195 30.000 0.00217 0.00557 0.00000 0.00774 15 23.561 35.000 0.00217 0.00557 0.00000 0.00774 17 26.927 40.000 0.00217 0.00557 0.00000 0.00774 19 30.293 45.000 0.00217 0.00557 0.00000 0.00774 21 33.659 50.000 0.00217 0.00557 0.00000 0.00774 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 0.1115 0.5617 0.6732 0.8344 0.00774 0.01379 3 3.366 5.000 0.1115 0.5617 0.6732 0.8344 0.00774 0.01379 5 6.732 10.000 0.1115 0.5617 0.6732 0.8344 0.00774 0.01379 7 10.098 15.000 0.1115 0.5617 0.6732 0.8344 0.00774 0.01379 9 13.463 20.000 0.1115 0.5617 0.6732 0.8344 0.00774 0.01379 11 16.829 25.000 0.1115 0.5617 0.6732 0.8344 0.00774 0.01379 13 20.195 30.000 0.1115 0.5617 0.6732 0.8344 0.00774 0.01379 15 23.561 35.000 0.1115 0.5617 0.6732 0.8344 0.00774 0.01379 17 26.927 40.000 0.1115 0.5617 0.6732 0.8344 0.00774 0.01379 19 30.293 45.000 0.1115 0.5617 0.6732 0.8344 0.00774 0.01379 21 33.659 50.000 0.1115 0.5617 0.6732 0.8344 0.00774 0.01379 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3124E-01 8 20.00 7.6933E-01 7 30.00 5.6889E-01 6 40.00 3.8447E-01 5 50.00 2.4351E-01 4 60.00 1.4868E-01 3 70.00 9.0095E-02 2 80.00 5.5875E-02 1 87.50 3.9779E-02 1 92.50 3.1459E-02 2 100.00 2.3629E-02 3 110.00 1.7154E-02 4 120.00 1.3203E-02 5 130.00 1.0803E-02 6 140.00 9.3343E-03 7 150.00 8.4394E-03 8 160.00 7.9115E-03 9 170.00 7.6337E-03 10 180.00 7.5364E-03 Asymptotic AOP values are MUu(inf) = 0.3744 MUd(inf) = 0.7457 MU(inf) = 0.6809 R(inf) = 0.0309 Lu(inf)/Ed(inf) = 0.006350 (1/sr) k(inf) = 0.1638 (1/m) absorp(check) = 0.1115 = 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 1.9119E-01 2.1495E+00 2.3407E+00 6.8716E-02 1.4954E+00 0.3594 0.6957 0.6095 4.5950E-02 1 0.00 0.00 8.9763E-02 1.6846E+00 1.7743E+00 3.7543E-02 1.4643E+00 0.4182 0.8692 0.8041 2.5639E-02 3 3.37 5.00 5.1122E-02 8.8271E-01 9.3383E-01 2.0039E-02 7.0752E-01 0.3920 0.8015 0.7362 2.8323E-02 5 6.73 10.00 2.5202E-02 4.2231E-01 4.4751E-01 9.6600E-03 3.2705E-01 0.3833 0.7744 0.7092 2.9537E-02 7 10.10 15.00 1.1772E-02 1.9440E-01 2.0617E-01 4.4634E-03 1.4792E-01 0.3792 0.7609 0.6958 3.0174E-02 9 13.46 20.00 5.3527E-03 8.7730E-02 9.3083E-02 2.0181E-03 6.6136E-02 0.3770 0.7539 0.6888 3.0514E-02 11 16.83 25.00 2.3997E-03 3.9175E-02 4.1574E-02 9.0203E-04 2.9385E-02 0.3759 0.7501 0.6851 3.0697E-02 13 20.20 30.00 1.0677E-03 1.7394E-02 1.8462E-02 4.0071E-04 1.3012E-02 0.3753 0.7481 0.6831 3.0794E-02 15 23.56 35.00 4.7315E-04 7.6995E-03 8.1726E-03 1.7742E-04 5.7516E-03 0.3750 0.7470 0.6821 3.0846E-02 17 26.93 40.00 2.0921E-04 3.4026E-03 3.6118E-03 7.8411E-05 2.5397E-03 0.3748 0.7464 0.6815 3.0874E-02 19 30.29 45.00 9.2407E-05 1.5024E-03 1.5948E-03 3.4623E-05 1.1209E-03 0.3747 0.7461 0.6811 3.0888E-02 21 33.66 50.00 4.0784E-05 6.6301E-04 7.0379E-04 1.5279E-05 4.9453E-04 0.3746 0.7459 0.6810 3.0896E-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 0.08088 0.11138 0.10984 0.10400 0.13773 0.13862 0.13181 5.000 5.010 5.005 0.13260 0.14136 0.14088 0.13919 0.15105 0.15139 0.14868 10.000 10.010 10.005 0.14817 0.15219 0.15196 0.15116 0.15697 0.15714 0.15577 15.000 15.010 15.005 0.15551 0.15757 0.15745 0.15704 0.16008 0.16017 0.15945 20.000 20.010 20.005 0.15933 0.16041 0.16035 0.16014 0.16175 0.16180 0.16142 25.000 25.010 25.005 0.16137 0.16193 0.16190 0.16180 0.16265 0.16268 0.16248 30.000 30.010 30.005 0.16245 0.16275 0.16273 0.16268 0.16314 0.16315 0.16306 35.000 35.010 35.005 0.16303 0.16319 0.16318 0.16316 0.16341 0.16341 0.16337 40.000 40.010 40.005 0.16335 0.16343 0.16343 0.16342 0.16355 0.16356 0.16354 45.000 45.010 45.005 0.16352 0.16357 0.16356 0.16357 0.16363 0.16364 0.16363 50.000 50.010 50.005 0.16362 0.16364 0.16364 0.16365 0.16368 0.16368 0.16369 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 455.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.31908E-01 4.84790E-03 8.48427E-03 1.33322E-02 3.24179E-03 0.064320 9 1 10.0 0.0 180.0 8.13927E-02 4.96263E-03 2.74675E-03 7.70938E-03 3.31851E-03 0.033747 9 4 10.0 45.0 135.0 8.94286E-02 4.92896E-03 3.16313E-03 8.09210E-03 3.29599E-03 0.035370 9 7 10.0 90.0 90.0 1.20826E-01 4.89045E-03 6.26069E-03 1.11511E-02 3.27024E-03 0.051816 8 1 20.0 0.0 180.0 6.39329E-02 5.03709E-03 1.55216E-03 6.58924E-03 3.36830E-03 0.024278 8 4 20.0 45.0 135.0 7.11745E-02 4.96548E-03 1.81610E-03 6.78157E-03 3.32041E-03 0.025516 8 7 20.0 90.0 90.0 1.04659E-01 4.91568E-03 3.84625E-03 8.76193E-03 3.28711E-03 0.036750 7 1 30.0 0.0 180.0 5.54332E-02 5.13702E-03 1.33441E-03 6.47143E-03 3.43512E-03 0.024072 7 4 30.0 45.0 135.0 6.14512E-02 5.09994E-03 1.49785E-03 6.59779E-03 3.41032E-03 0.024375 7 7 30.0 90.0 90.0 8.96620E-02 5.01249E-03 2.52866E-03 7.54115E-03 3.35185E-03 0.028202 6 1 40.0 0.0 180.0 5.26166E-02 5.22093E-03 1.48370E-03 6.70463E-03 3.49123E-03 0.028198 6 4 40.0 45.0 135.0 5.75335E-02 5.16891E-03 1.60916E-03 6.77807E-03 3.45645E-03 0.027969 6 7 40.0 90.0 90.0 8.07761E-02 5.08211E-03 2.32762E-03 7.40973E-03 3.39840E-03 0.028816 5 1 50.0 0.0 180.0 5.51668E-02 5.32574E-03 2.34374E-03 7.66948E-03 3.56132E-03 0.042485 5 4 50.0 45.0 135.0 5.87877E-02 5.24147E-03 2.44175E-03 7.68322E-03 3.50497E-03 0.041535 5 7 50.0 90.0 90.0 7.81434E-02 5.16906E-03 3.15670E-03 8.32577E-03 3.45655E-03 0.040396 4 1 60.0 0.0 180.0 6.54838E-02 5.28525E-03 5.45982E-03 1.07451E-02 3.53424E-03 0.083377 4 4 60.0 45.0 135.0 6.69658E-02 5.19281E-03 5.39147E-03 1.05843E-02 3.47243E-03 0.080511 4 7 60.0 90.0 90.0 8.26940E-02 5.19589E-03 6.29602E-03 1.14919E-02 3.47449E-03 0.076136 3 1 70.0 0.0 180.0 9.08593E-02 4.93906E-03 1.50815E-02 2.00205E-02 3.30274E-03 0.165987 3 4 70.0 45.0 135.0 8.83020E-02 4.90589E-03 1.45112E-02 1.94171E-02 3.28057E-03 0.164336 3 7 70.0 90.0 90.0 9.87195E-02 4.92861E-03 1.57802E-02 2.07088E-02 3.29576E-03 0.159849 2 1 80.0 0.0 180.0 1.54371E-01 4.25713E-03 3.74880E-02 4.17452E-02 2.84674E-03 0.242843 2 4 80.0 45.0 135.0 1.42945E-01 4.21959E-03 3.62587E-02 4.04783E-02 2.82163E-03 0.253655 2 7 80.0 90.0 90.0 1.42017E-01 4.25679E-03 3.79727E-02 4.22295E-02 2.84651E-03 0.267382 1 1 87.5 0.0 180.0 2.49590E-01 3.44858E-03 6.61154E-02 6.95640E-02 2.30607E-03 0.264896 1 4 87.5 45.0 135.0 2.24725E-01 3.25593E-03 6.57072E-02 6.89631E-02 2.17724E-03 0.292389 1 7 87.5 90.0 90.0 2.04450E-01 3.65025E-03 6.72470E-02 7.08972E-02 2.44092E-03 0.328916 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 1.333E-02 1.319E-01 1.596E-01 1.377E-01 2.062E-01 8.915E-03 5.154E+00 4.848E-03 3.242E-03 1 0.00 0.00 8.994E-03 2.455E-01 1.828E-02 2.140E-02 3.026E-02 6.142E-03 4.174E+00 3 3.37 5.00 4.427E-03 3.361E-01 1.139E-02 1.496E-02 2.492E-02 6.258E-03 4.526E+00 5 6.73 10.00 2.064E-03 2.177E-01 6.031E-03 7.956E-03 1.277E-02 6.311E-03 4.680E+00 7 10.10 15.00 9.377E-04 1.131E-01 3.007E-03 3.893E-03 5.866E-03 6.339E-03 4.760E+00 9 13.46 20.00 4.202E-04 5.368E-02 1.452E-03 1.827E-03 2.571E-03 6.354E-03 4.802E+00 11 16.83 25.00 1.869E-04 2.447E-02 6.871E-04 8.372E-04 1.105E-03 6.362E-03 4.825E+00 13 20.20 30.00 8.283E-05 1.094E-02 3.201E-04 3.780E-04 4.719E-04 6.365E-03 4.838E+00 15 23.56 35.00 3.662E-05 4.855E-03 1.474E-04 1.692E-04 2.016E-04 6.367E-03 4.844E+00 17 26.93 40.00 1.617E-05 2.145E-03 6.729E-05 7.529E-05 8.643E-05 6.368E-03 4.848E+00 19 30.29 45.00 7.138E-06 9.467E-04 3.049E-05 3.339E-05 3.720E-05 6.368E-03 4.850E+00 21 33.66 50.00 3.149E-06 4.174E-04 1.374E-05 1.478E-05 1.608E-05 6.368E-03 4.852E+00 Waveband 6 of 30 completed in 6.3 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 86.8 m at 465.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 460.0 nm to 470.0 nm: Ed(diffuse) = 4.757E-01 Ed(direct) = 1.013E+00 Ed(total) = 1.489E+00 Absorption Coefficients of Individual Components at 465.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0101 0.0847 0.0133 0.1081 3 3.287 5.000 0.0101 0.0847 0.0133 0.1081 5 6.574 10.000 0.0101 0.0847 0.0133 0.1081 7 9.861 15.000 0.0101 0.0847 0.0133 0.1081 9 13.148 20.000 0.0101 0.0847 0.0133 0.1081 11 16.435 25.000 0.0101 0.0847 0.0133 0.1081 13 19.722 30.000 0.0101 0.0847 0.0133 0.1081 15 23.009 35.000 0.0101 0.0847 0.0133 0.1081 17 26.296 40.000 0.0101 0.0847 0.0133 0.1081 19 29.584 45.000 0.0101 0.0847 0.0133 0.1081 21 32.871 50.000 0.0101 0.0847 0.0133 0.1081 Scattering Coefficients of Individual Components at 465.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0040 0.5453 0.0000 0.5493 3 3.287 5.000 0.0040 0.5453 0.0000 0.5493 5 6.574 10.000 0.0040 0.5453 0.0000 0.5493 7 9.861 15.000 0.0040 0.5453 0.0000 0.5493 9 13.148 20.000 0.0040 0.5453 0.0000 0.5493 11 16.435 25.000 0.0040 0.5453 0.0000 0.5493 13 19.722 30.000 0.0040 0.5453 0.0000 0.5493 15 23.009 35.000 0.0040 0.5453 0.0000 0.5493 17 26.296 40.000 0.0040 0.5453 0.0000 0.5493 19 29.584 45.000 0.0040 0.5453 0.0000 0.5493 21 32.871 50.000 0.0040 0.5453 0.0000 0.5493 Backscattering Coefficients of Individual Components at 465.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00198 0.00545 0.00000 0.00743 3 3.287 5.000 0.00198 0.00545 0.00000 0.00743 5 6.574 10.000 0.00198 0.00545 0.00000 0.00743 7 9.861 15.000 0.00198 0.00545 0.00000 0.00743 9 13.148 20.000 0.00198 0.00545 0.00000 0.00743 11 16.435 25.000 0.00198 0.00545 0.00000 0.00743 13 19.722 30.000 0.00198 0.00545 0.00000 0.00743 15 23.009 35.000 0.00198 0.00545 0.00000 0.00743 17 26.296 40.000 0.00198 0.00545 0.00000 0.00743 19 29.584 45.000 0.00198 0.00545 0.00000 0.00743 21 32.871 50.000 0.00198 0.00545 0.00000 0.00743 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 0.1081 0.5493 0.6574 0.8355 0.00743 0.01353 3 3.287 5.000 0.1081 0.5493 0.6574 0.8355 0.00743 0.01353 5 6.574 10.000 0.1081 0.5493 0.6574 0.8355 0.00743 0.01353 7 9.861 15.000 0.1081 0.5493 0.6574 0.8355 0.00743 0.01353 9 13.148 20.000 0.1081 0.5493 0.6574 0.8355 0.00743 0.01353 11 16.435 25.000 0.1081 0.5493 0.6574 0.8355 0.00743 0.01353 13 19.722 30.000 0.1081 0.5493 0.6574 0.8355 0.00743 0.01353 15 23.009 35.000 0.1081 0.5493 0.6574 0.8355 0.00743 0.01353 17 26.296 40.000 0.1081 0.5493 0.6574 0.8355 0.00743 0.01353 19 29.584 45.000 0.1081 0.5493 0.6574 0.8355 0.00743 0.01353 21 32.871 50.000 0.1081 0.5493 0.6574 0.8355 0.00743 0.01353 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3159E-01 8 20.00 7.7037E-01 7 30.00 5.7047E-01 6 40.00 3.8616E-01 5 50.00 2.4497E-01 4 60.00 1.4975E-01 3 70.00 9.0802E-02 2 80.00 5.6307E-02 1 87.50 4.0061E-02 1 92.50 3.1655E-02 2 100.00 2.3743E-02 3 110.00 1.7200E-02 4 120.00 1.3206E-02 5 130.00 1.0779E-02 6 140.00 9.2935E-03 7 150.00 8.3881E-03 8 160.00 7.8537E-03 9 170.00 7.5724E-03 10 180.00 7.4739E-03 Asymptotic AOP values are MUu(inf) = 0.3733 MUd(inf) = 0.7452 MU(inf) = 0.6806 R(inf) = 0.0307 Lu(inf)/Ed(inf) = 0.006278 (1/sr) k(inf) = 0.1589 (1/m) absorp(check) = 0.1081 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 465.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.8793E-01 2.1311E+00 2.3190E+00 6.8099E-02 1.4892E+00 0.3624 0.6988 0.6128 4.5729E-02 1 0.00 0.00 8.9964E-02 1.6773E+00 1.7673E+00 3.7623E-02 1.4587E+00 0.4182 0.8697 0.8041 2.5792E-02 3 3.29 5.00 5.2405E-02 8.9970E-01 9.5211E-01 2.0550E-02 7.2197E-01 0.3921 0.8025 0.7367 2.8464E-02 5 6.57 10.00 2.6509E-02 4.4166E-01 4.6817E-01 1.0161E-02 3.4228E-01 0.3833 0.7750 0.7094 2.9687E-02 7 9.86 15.00 1.2709E-02 2.0867E-01 2.2138E-01 4.8168E-03 1.5882E-01 0.3790 0.7611 0.6956 3.0329E-02 9 13.15 20.00 5.9297E-03 9.6637E-02 1.0257E-01 2.2340E-03 7.2836E-02 0.3767 0.7537 0.6884 3.0672E-02 11 16.44 25.00 2.7268E-03 4.4270E-02 4.6997E-02 1.0240E-03 3.3191E-02 0.3755 0.7497 0.6844 3.0851E-02 13 19.72 30.00 1.2441E-03 2.0160E-02 2.1405E-02 4.6634E-04 1.5071E-02 0.3748 0.7476 0.6823 3.0942E-02 15 23.01 35.00 5.6522E-04 9.1513E-03 9.7165E-03 2.1164E-04 6.8305E-03 0.3744 0.7464 0.6812 3.0985E-02 17 26.30 40.00 2.5618E-04 4.1465E-03 4.4027E-03 9.5867E-05 3.0922E-03 0.3742 0.7457 0.6806 3.1003E-02 19 29.58 45.00 1.1596E-04 1.8769E-03 1.9929E-03 4.3378E-05 1.3990E-03 0.3741 0.7454 0.6802 3.1006E-02 21 32.87 50.00 5.2453E-05 8.4913E-04 9.0158E-04 1.9617E-05 6.3275E-04 0.3740 0.7452 0.6801 3.1002E-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 0.07782 0.10750 0.10599 0.10034 0.13325 0.13413 0.12751 5.000 5.010 5.005 0.12758 0.13631 0.13583 0.13424 0.14605 0.14640 0.14380 10.000 10.010 10.005 0.14297 0.14699 0.14676 0.14605 0.15187 0.15205 0.15079 15.000 15.010 15.005 0.15033 0.15237 0.15225 0.15194 0.15498 0.15507 0.15447 20.000 20.010 20.005 0.15422 0.15527 0.15521 0.15509 0.15668 0.15673 0.15647 25.000 25.010 25.005 0.15632 0.15684 0.15681 0.15679 0.15761 0.15764 0.15756 30.000 30.010 30.005 0.15746 0.15771 0.15769 0.15773 0.15813 0.15814 0.15816 35.000 35.010 35.005 0.15808 0.15818 0.15818 0.15824 0.15841 0.15842 0.15849 40.000 40.010 40.005 0.15842 0.15845 0.15844 0.15852 0.15857 0.15858 0.15867 45.000 45.010 45.005 0.15861 0.15859 0.15859 0.15867 0.15867 0.15867 0.15877 50.000 50.010 50.005 0.15872 0.15868 0.15868 0.15876 0.15872 0.15872 0.15883 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 465.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.28363E-01 4.85056E-03 8.42910E-03 1.32797E-02 3.25718E-03 0.065666 9 1 10.0 0.0 180.0 7.92052E-02 4.96187E-03 2.69613E-03 7.65801E-03 3.33192E-03 0.034040 9 4 10.0 45.0 135.0 8.70251E-02 4.92933E-03 3.10798E-03 8.03730E-03 3.31007E-03 0.035714 9 7 10.0 90.0 90.0 1.17578E-01 4.89353E-03 6.19937E-03 1.10929E-02 3.28603E-03 0.052726 8 1 20.0 0.0 180.0 6.22146E-02 5.03466E-03 1.51161E-03 6.54628E-03 3.38080E-03 0.024297 8 4 20.0 45.0 135.0 6.92616E-02 4.96494E-03 1.77032E-03 6.73527E-03 3.33399E-03 0.025560 8 7 20.0 90.0 90.0 1.01846E-01 4.91961E-03 3.78355E-03 8.70316E-03 3.30355E-03 0.037150 7 1 30.0 0.0 180.0 5.39434E-02 5.13333E-03 1.29855E-03 6.43188E-03 3.44706E-03 0.024072 7 4 30.0 45.0 135.0 5.98005E-02 5.09885E-03 1.45774E-03 6.55659E-03 3.42391E-03 0.024377 7 7 30.0 90.0 90.0 8.72468E-02 5.01759E-03 2.46870E-03 7.48629E-03 3.36934E-03 0.028296 6 1 40.0 0.0 180.0 5.12025E-02 5.21636E-03 1.44382E-03 6.66019E-03 3.50282E-03 0.028198 6 4 40.0 45.0 135.0 5.59872E-02 5.16778E-03 1.56591E-03 6.73369E-03 3.47019E-03 0.027969 6 7 40.0 90.0 90.0 7.86051E-02 5.08912E-03 2.26558E-03 7.35470E-03 3.41737E-03 0.028822 5 1 50.0 0.0 180.0 5.36841E-02 5.32099E-03 2.28075E-03 7.60173E-03 3.57307E-03 0.042485 5 4 50.0 45.0 135.0 5.72076E-02 5.24077E-03 2.37612E-03 7.61689E-03 3.51921E-03 0.041535 5 7 50.0 90.0 90.0 7.60432E-02 5.17788E-03 3.07186E-03 8.24975E-03 3.47698E-03 0.040396 4 1 60.0 0.0 180.0 6.37239E-02 5.28064E-03 5.31308E-03 1.05937E-02 3.54598E-03 0.083377 4 4 60.0 45.0 135.0 6.51660E-02 5.19270E-03 5.24657E-03 1.04393E-02 3.48693E-03 0.080511 4 7 60.0 90.0 90.0 8.04715E-02 5.20639E-03 6.12680E-03 1.13332E-02 3.49612E-03 0.076136 3 1 70.0 0.0 180.0 8.84173E-02 4.93516E-03 1.46761E-02 1.96113E-02 3.31399E-03 0.165987 3 4 70.0 45.0 135.0 8.59287E-02 4.90653E-03 1.41212E-02 1.90277E-02 3.29477E-03 0.164336 3 7 70.0 90.0 90.0 9.60663E-02 4.94002E-03 1.53561E-02 2.02961E-02 3.31725E-03 0.159849 2 1 80.0 0.0 180.0 1.50222E-01 4.25413E-03 3.64805E-02 4.07346E-02 2.85667E-03 0.242843 2 4 80.0 45.0 135.0 1.39103E-01 4.22073E-03 3.52842E-02 3.95049E-02 2.83424E-03 0.253655 2 7 80.0 90.0 90.0 1.38200E-01 4.26765E-03 3.69522E-02 4.12198E-02 2.86575E-03 0.267382 1 1 87.5 0.0 180.0 2.42882E-01 3.44645E-03 6.43384E-02 6.77849E-02 2.31431E-03 0.264896 1 4 87.5 45.0 135.0 2.18685E-01 3.25720E-03 6.39412E-02 6.71984E-02 2.18723E-03 0.292389 1 7 87.5 90.0 90.0 1.98955E-01 3.66016E-03 6.54396E-02 6.90998E-02 2.45782E-03 0.328916 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 1.328E-02 1.284E-01 1.553E-01 1.340E-01 2.007E-01 8.917E-03 5.128E+00 4.851E-03 3.257E-03 1 0.00 0.00 8.998E-03 2.389E-01 1.825E-02 2.144E-02 3.036E-02 6.169E-03 4.181E+00 3 3.29 5.00 4.536E-03 3.375E-01 1.162E-02 1.528E-02 2.552E-02 6.282E-03 4.531E+00 5 6.57 10.00 2.168E-03 2.252E-01 6.309E-03 8.345E-03 1.346E-02 6.333E-03 4.688E+00 7 9.86 15.00 1.010E-03 1.204E-01 3.226E-03 4.194E-03 6.362E-03 6.358E-03 4.771E+00 9 13.15 20.00 4.639E-04 5.877E-02 1.599E-03 2.021E-03 2.867E-03 6.369E-03 4.816E+00 11 16.44 25.00 2.115E-04 2.750E-02 7.760E-04 9.506E-04 1.266E-03 6.373E-03 4.841E+00 13 19.72 30.00 9.605E-05 1.263E-02 3.709E-04 4.405E-04 5.546E-04 6.373E-03 4.855E+00 15 23.01 35.00 4.352E-05 5.744E-03 1.752E-04 2.022E-04 2.430E-04 6.371E-03 4.863E+00 17 26.30 40.00 1.969E-05 2.603E-03 8.204E-05 9.229E-05 1.067E-04 6.368E-03 4.868E+00 19 29.58 45.00 8.905E-06 1.177E-03 3.813E-05 4.197E-05 4.707E-05 6.365E-03 4.871E+00 21 32.87 50.00 4.025E-06 5.322E-04 1.762E-05 1.904E-05 2.084E-05 6.362E-03 4.873E+00 Waveband 7 of 30 completed in 6.2 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 86.8 m at 475.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 470.0 nm to 480.0 nm: Ed(diffuse) = 4.727E-01 Ed(direct) = 1.039E+00 Ed(total) = 1.512E+00 Absorption Coefficients of Individual Components at 475.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0114 0.0781 0.0115 0.1011 3 3.193 5.000 0.0114 0.0781 0.0115 0.1011 5 6.386 10.000 0.0114 0.0781 0.0115 0.1011 7 9.578 15.000 0.0114 0.0781 0.0115 0.1011 9 12.771 20.000 0.0114 0.0781 0.0115 0.1011 11 15.964 25.000 0.0114 0.0781 0.0115 0.1011 13 19.157 30.000 0.0114 0.0781 0.0115 0.1011 15 22.349 35.000 0.0114 0.0781 0.0115 0.1011 17 25.542 40.000 0.0114 0.0781 0.0115 0.1011 19 28.735 45.000 0.0114 0.0781 0.0115 0.1011 21 31.928 50.000 0.0114 0.0781 0.0115 0.1011 Scattering Coefficients of Individual Components at 475.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0036 0.5339 0.0000 0.5375 3 3.193 5.000 0.0036 0.5339 0.0000 0.5375 5 6.386 10.000 0.0036 0.5339 0.0000 0.5375 7 9.578 15.000 0.0036 0.5339 0.0000 0.5375 9 12.771 20.000 0.0036 0.5339 0.0000 0.5375 11 15.964 25.000 0.0036 0.5339 0.0000 0.5375 13 19.157 30.000 0.0036 0.5339 0.0000 0.5375 15 22.349 35.000 0.0036 0.5339 0.0000 0.5375 17 25.542 40.000 0.0036 0.5339 0.0000 0.5375 19 28.735 45.000 0.0036 0.5339 0.0000 0.5375 21 31.928 50.000 0.0036 0.5339 0.0000 0.5375 Backscattering Coefficients of Individual Components at 475.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00180 0.00534 0.00000 0.00714 3 3.193 5.000 0.00180 0.00534 0.00000 0.00714 5 6.386 10.000 0.00180 0.00534 0.00000 0.00714 7 9.578 15.000 0.00180 0.00534 0.00000 0.00714 9 12.771 20.000 0.00180 0.00534 0.00000 0.00714 11 15.964 25.000 0.00180 0.00534 0.00000 0.00714 13 19.157 30.000 0.00180 0.00534 0.00000 0.00714 15 22.349 35.000 0.00180 0.00534 0.00000 0.00714 17 25.542 40.000 0.00180 0.00534 0.00000 0.00714 19 28.735 45.000 0.00180 0.00534 0.00000 0.00714 21 31.928 50.000 0.00180 0.00534 0.00000 0.00714 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 0.1011 0.5375 0.6386 0.8417 0.00714 0.01329 3 3.193 5.000 0.1011 0.5375 0.6386 0.8417 0.00714 0.01329 5 6.386 10.000 0.1011 0.5375 0.6386 0.8417 0.00714 0.01329 7 9.578 15.000 0.1011 0.5375 0.6386 0.8417 0.00714 0.01329 9 12.771 20.000 0.1011 0.5375 0.6386 0.8417 0.00714 0.01329 11 15.964 25.000 0.1011 0.5375 0.6386 0.8417 0.00714 0.01329 13 19.157 30.000 0.1011 0.5375 0.6386 0.8417 0.00714 0.01329 15 22.349 35.000 0.1011 0.5375 0.6386 0.8417 0.00714 0.01329 17 25.542 40.000 0.1011 0.5375 0.6386 0.8417 0.00714 0.01329 19 28.735 45.000 0.1011 0.5375 0.6386 0.8417 0.00714 0.01329 21 31.928 50.000 0.1011 0.5375 0.6386 0.8417 0.00714 0.01329 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3338E-01 8 20.00 7.7576E-01 7 30.00 5.7888E-01 6 40.00 3.9553E-01 5 50.00 2.5340E-01 4 60.00 1.5637E-01 3 70.00 9.5572E-02 2 80.00 5.9616E-02 1 87.50 4.2536E-02 1 92.50 3.3642E-02 2 100.00 2.5246E-02 3 110.00 1.8277E-02 4 120.00 1.4006E-02 5 130.00 1.1401E-02 6 140.00 9.8025E-03 7 150.00 8.8251E-03 8 160.00 8.2468E-03 9 170.00 7.9418E-03 10 180.00 7.8351E-03 Asymptotic AOP values are MUu(inf) = 0.3723 MUd(inf) = 0.7414 MU(inf) = 0.6749 R(inf) = 0.0319 Lu(inf)/Ed(inf) = 0.006466 (1/sr) k(inf) = 0.1498 (1/m) absorp(check) = 0.1011 = 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 1.8953E-01 2.1546E+00 2.3442E+00 6.9345E-02 1.5117E+00 0.3659 0.7016 0.6153 4.5873E-02 1 0.00 0.00 9.4800E-02 1.7049E+00 1.7997E+00 3.9662E-02 1.4820E+00 0.4184 0.8693 0.8014 2.6763E-02 3 3.19 5.00 5.7670E-02 9.5615E-01 1.0138E+00 2.2630E-02 7.6691E-01 0.3924 0.8021 0.7341 2.9508E-02 5 6.39 10.00 3.0594E-02 4.9216E-01 5.2276E-01 1.1725E-02 3.8080E-01 0.3832 0.7737 0.7060 3.0790E-02 7 9.58 15.00 1.5383E-02 2.4385E-01 2.5924E-01 5.8249E-03 1.8511E-01 0.3787 0.7591 0.6916 3.1468E-02 9 12.77 20.00 7.5241E-03 1.1839E-01 1.2591E-01 2.8304E-03 8.8928E-02 0.3762 0.7512 0.6838 3.1828E-02 11 15.96 25.00 3.6248E-03 5.6823E-02 6.0448E-02 1.3586E-03 4.2435E-02 0.3748 0.7468 0.6795 3.2015E-02 13 19.16 30.00 1.7320E-03 2.7104E-02 2.8836E-02 6.4774E-04 2.0175E-02 0.3740 0.7444 0.6772 3.2105E-02 15 22.35 35.00 8.2366E-04 1.2881E-02 1.3705E-02 3.0765E-04 9.5711E-03 0.3735 0.7430 0.6759 3.2144E-02 17 25.54 40.00 3.9072E-04 6.1101E-03 6.5008E-03 1.4583E-04 4.5352E-03 0.3732 0.7423 0.6752 3.2155E-02 19 28.73 45.00 1.8508E-04 2.8948E-03 3.0799E-03 6.9042E-05 2.1474E-03 0.3730 0.7418 0.6748 3.2151E-02 21 31.93 50.00 8.7610E-05 1.3708E-03 1.4584E-03 3.2672E-05 1.0166E-03 0.3729 0.7416 0.6746 3.2140E-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 0.07168 0.09988 0.09840 0.09298 0.12482 0.12569 0.11938 5.000 5.010 5.005 0.11818 0.12692 0.12643 0.12501 0.13689 0.13725 0.13482 10.000 10.010 10.005 0.13342 0.13746 0.13723 0.13666 0.14257 0.14275 0.14165 15.000 15.010 15.005 0.14085 0.14289 0.14277 0.14258 0.14567 0.14577 0.14532 20.000 20.010 20.005 0.14484 0.14587 0.14581 0.14581 0.14741 0.14747 0.14736 25.000 25.010 25.005 0.14705 0.14754 0.14752 0.14760 0.14840 0.14843 0.14849 30.000 30.010 30.005 0.14827 0.14848 0.14847 0.14859 0.14896 0.14897 0.14911 35.000 35.010 35.005 0.14895 0.14901 0.14900 0.14914 0.14928 0.14928 0.14946 40.000 40.010 40.005 0.14933 0.14931 0.14931 0.14945 0.14946 0.14946 0.14965 45.000 45.010 45.005 0.14954 0.14948 0.14949 0.14962 0.14957 0.14957 0.14976 50.000 50.010 50.005 0.14966 0.14959 0.14959 0.14972 0.14964 0.14963 0.14982 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 475.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.27561E-01 5.09480E-03 8.53835E-03 1.36332E-02 3.37029E-03 0.066936 9 1 10.0 0.0 180.0 7.87103E-02 5.20720E-03 2.70103E-03 7.90822E-03 3.44464E-03 0.034316 9 4 10.0 45.0 135.0 8.64814E-02 5.17465E-03 3.11653E-03 8.29118E-03 3.42311E-03 0.036037 9 7 10.0 90.0 90.0 1.16844E-01 5.14103E-03 6.26082E-03 1.14019E-02 3.40087E-03 0.053583 8 1 20.0 0.0 180.0 6.18259E-02 5.28217E-03 1.50327E-03 6.78544E-03 3.49423E-03 0.024315 8 4 20.0 45.0 135.0 6.88288E-02 5.21170E-03 1.76211E-03 6.97380E-03 3.44761E-03 0.025601 8 7 20.0 90.0 90.0 1.01210E-01 5.17067E-03 3.79801E-03 8.96868E-03 3.42047E-03 0.037526 7 1 30.0 0.0 180.0 5.36063E-02 5.38516E-03 1.29043E-03 6.67560E-03 3.56236E-03 0.024072 7 4 30.0 45.0 135.0 5.94277E-02 5.35273E-03 1.44877E-03 6.80150E-03 3.54091E-03 0.024379 7 7 30.0 90.0 90.0 8.66965E-02 5.27655E-03 2.46077E-03 7.73732E-03 3.49052E-03 0.028384 6 1 40.0 0.0 180.0 5.08826E-02 5.47306E-03 1.43480E-03 6.90786E-03 3.62051E-03 0.028198 6 4 40.0 45.0 135.0 5.56374E-02 5.42705E-03 1.55613E-03 6.98318E-03 3.59007E-03 0.027969 6 7 40.0 90.0 90.0 7.81140E-02 5.35663E-03 2.25191E-03 7.60854E-03 3.54349E-03 0.028829 5 1 50.0 0.0 180.0 5.33487E-02 5.58443E-03 2.26650E-03 7.85093E-03 3.69418E-03 0.042485 5 4 50.0 45.0 135.0 5.68502E-02 5.50612E-03 2.36127E-03 7.86739E-03 3.64238E-03 0.041535 5 7 50.0 90.0 90.0 7.55680E-02 5.45449E-03 3.05267E-03 8.50716E-03 3.60822E-03 0.040396 4 1 60.0 0.0 180.0 6.33257E-02 5.54387E-03 5.27988E-03 1.08238E-02 3.66735E-03 0.083377 4 4 60.0 45.0 135.0 6.47589E-02 5.45812E-03 5.21379E-03 1.06719E-02 3.61062E-03 0.080511 4 7 60.0 90.0 90.0 7.99687E-02 5.48875E-03 6.08852E-03 1.15773E-02 3.63089E-03 0.076136 3 1 70.0 0.0 180.0 8.78649E-02 5.18312E-03 1.45844E-02 1.97676E-02 3.42871E-03 0.165987 3 4 70.0 45.0 135.0 8.53918E-02 5.15980E-03 1.40329E-02 1.91927E-02 3.41328E-03 0.164336 3 7 70.0 90.0 90.0 9.54660E-02 5.21162E-03 1.52602E-02 2.04718E-02 3.44756E-03 0.159849 2 1 80.0 0.0 180.0 1.49284E-01 4.46927E-03 3.62526E-02 4.07218E-02 2.95649E-03 0.242843 2 4 80.0 45.0 135.0 1.38234E-01 4.44036E-03 3.50637E-02 3.95041E-02 2.93736E-03 0.253655 2 7 80.0 90.0 90.0 1.37336E-01 4.50467E-03 3.67213E-02 4.12260E-02 2.97990E-03 0.267382 1 1 87.5 0.0 180.0 2.41364E-01 3.62161E-03 6.39364E-02 6.75580E-02 2.39575E-03 0.264896 1 4 87.5 45.0 135.0 2.17319E-01 3.42767E-03 6.35417E-02 6.69693E-02 2.26745E-03 0.292389 1 7 87.5 90.0 90.0 1.97712E-01 3.86477E-03 6.50307E-02 6.88955E-02 2.55660E-03 0.328916 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 1.363E-02 1.276E-01 1.545E-01 1.333E-01 1.996E-01 9.019E-03 5.086E+00 5.095E-03 3.370E-03 1 0.00 0.00 9.451E-03 2.375E-01 1.913E-02 2.254E-02 3.196E-02 6.377E-03 4.196E+00 3 3.19 5.00 4.976E-03 3.519E-01 1.267E-02 1.670E-02 2.795E-02 6.488E-03 4.548E+00 5 6.39 10.00 2.488E-03 2.465E-01 7.218E-03 9.581E-03 1.553E-02 6.535E-03 4.712E+00 7 9.58 15.00 1.213E-03 1.382E-01 3.871E-03 5.057E-03 7.730E-03 6.555E-03 4.801E+00 9 12.77 20.00 5.835E-04 7.070E-02 2.011E-03 2.558E-03 3.662E-03 6.561E-03 4.851E+00 11 15.96 25.00 2.784E-04 3.465E-02 1.023E-03 1.262E-03 1.697E-03 6.560E-03 4.880E+00 13 19.16 30.00 1.323E-04 1.665E-02 5.123E-04 6.127E-04 7.794E-04 6.556E-03 4.897E+00 15 22.35 35.00 6.270E-05 7.925E-03 2.536E-04 2.947E-04 3.575E-04 6.551E-03 4.907E+00 17 25.54 40.00 2.968E-05 3.757E-03 1.244E-04 1.409E-04 1.644E-04 6.544E-03 4.913E+00 19 28.73 45.00 1.404E-05 1.778E-03 6.055E-05 6.707E-05 7.581E-05 6.538E-03 4.917E+00 21 31.93 50.00 6.640E-06 8.409E-04 2.932E-05 3.186E-05 3.511E-05 6.532E-03 4.920E+00 Waveband 8 of 30 completed in 6.0 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 86.8 m at 485.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 480.0 nm to 490.0 nm: Ed(diffuse) = 4.491E-01 Ed(direct) = 1.015E+00 Ed(total) = 1.464E+00 Absorption Coefficients of Individual Components at 485.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0136 0.0725 0.0100 0.0961 3 3.111 5.000 0.0136 0.0725 0.0100 0.0961 5 6.223 10.000 0.0136 0.0725 0.0100 0.0961 7 9.334 15.000 0.0136 0.0725 0.0100 0.0961 9 12.446 20.000 0.0136 0.0725 0.0100 0.0961 11 15.557 25.000 0.0136 0.0725 0.0100 0.0961 13 18.668 30.000 0.0136 0.0725 0.0100 0.0961 15 21.780 35.000 0.0136 0.0725 0.0100 0.0961 17 24.891 40.000 0.0136 0.0725 0.0100 0.0961 19 28.002 45.000 0.0136 0.0725 0.0100 0.0961 21 31.114 50.000 0.0136 0.0725 0.0100 0.0961 Scattering Coefficients of Individual Components at 485.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0033 0.5229 0.0000 0.5262 3 3.111 5.000 0.0033 0.5229 0.0000 0.5262 5 6.223 10.000 0.0033 0.5229 0.0000 0.5262 7 9.334 15.000 0.0033 0.5229 0.0000 0.5262 9 12.446 20.000 0.0033 0.5229 0.0000 0.5262 11 15.557 25.000 0.0033 0.5229 0.0000 0.5262 13 18.668 30.000 0.0033 0.5229 0.0000 0.5262 15 21.780 35.000 0.0033 0.5229 0.0000 0.5262 17 24.891 40.000 0.0033 0.5229 0.0000 0.5262 19 28.002 45.000 0.0033 0.5229 0.0000 0.5262 21 31.114 50.000 0.0033 0.5229 0.0000 0.5262 Backscattering Coefficients of Individual Components at 485.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00165 0.00523 0.00000 0.00688 3 3.111 5.000 0.00165 0.00523 0.00000 0.00688 5 6.223 10.000 0.00165 0.00523 0.00000 0.00688 7 9.334 15.000 0.00165 0.00523 0.00000 0.00688 9 12.446 20.000 0.00165 0.00523 0.00000 0.00688 11 15.557 25.000 0.00165 0.00523 0.00000 0.00688 13 18.668 30.000 0.00165 0.00523 0.00000 0.00688 15 21.780 35.000 0.00165 0.00523 0.00000 0.00688 17 24.891 40.000 0.00165 0.00523 0.00000 0.00688 19 28.002 45.000 0.00165 0.00523 0.00000 0.00688 21 31.114 50.000 0.00165 0.00523 0.00000 0.00688 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 0.0961 0.5262 0.6223 0.8455 0.00688 0.01307 3 3.111 5.000 0.0961 0.5262 0.6223 0.8455 0.00688 0.01307 5 6.223 10.000 0.0961 0.5262 0.6223 0.8455 0.00688 0.01307 7 9.334 15.000 0.0961 0.5262 0.6223 0.8455 0.00688 0.01307 9 12.446 20.000 0.0961 0.5262 0.6223 0.8455 0.00688 0.01307 11 15.557 25.000 0.0961 0.5262 0.6223 0.8455 0.00688 0.01307 13 18.668 30.000 0.0961 0.5262 0.6223 0.8455 0.00688 0.01307 15 21.780 35.000 0.0961 0.5262 0.6223 0.8455 0.00688 0.01307 17 24.891 40.000 0.0961 0.5262 0.6223 0.8455 0.00688 0.01307 19 28.002 45.000 0.0961 0.5262 0.6223 0.8455 0.00688 0.01307 21 31.114 50.000 0.0961 0.5262 0.6223 0.8455 0.00688 0.01307 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3449E-01 8 20.00 7.7912E-01 7 30.00 5.8417E-01 6 40.00 4.0145E-01 5 50.00 2.5878E-01 4 60.00 1.6061E-01 3 70.00 9.8634E-02 2 80.00 6.1738E-02 1 87.50 4.4117E-02 1 92.50 3.4902E-02 2 100.00 2.6190E-02 3 110.00 1.8943E-02 4 120.00 1.4490E-02 5 130.00 1.1768E-02 6 140.00 1.0094E-02 7 150.00 9.0693E-03 8 160.00 8.4619E-03 9 170.00 8.1412E-03 10 180.00 8.0291E-03 Asymptotic AOP values are MUu(inf) = 0.3715 MUd(inf) = 0.7391 MU(inf) = 0.6715 R(inf) = 0.0326 Lu(inf)/Ed(inf) = 0.006553 (1/sr) k(inf) = 0.1432 (1/m) absorp(check) = 0.0961 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 485.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.8198E-01 2.0794E+00 2.2614E+00 6.7082E-02 1.4641E+00 0.3686 0.7041 0.6178 4.5818E-02 1 0.00 0.00 9.3450E-02 1.6520E+00 1.7455E+00 3.9077E-02 1.4361E+00 0.4182 0.8693 0.8004 2.7211E-02 3 3.11 5.00 5.8644E-02 9.5631E-01 1.0150E+00 2.3006E-02 7.6734E-01 0.3923 0.8024 0.7334 2.9982E-02 5 6.22 10.00 3.2208E-02 5.0940E-01 5.4161E-01 1.2332E-02 3.9401E-01 0.3829 0.7735 0.7047 3.1299E-02 7 9.33 15.00 1.6770E-02 2.6127E-01 2.7804E-01 6.3411E-03 1.9813E-01 0.3781 0.7583 0.6898 3.2005E-02 9 12.45 20.00 8.4913E-03 1.3128E-01 1.3977E-01 3.1884E-03 9.8449E-02 0.3755 0.7499 0.6816 3.2386E-02 11 15.56 25.00 4.2335E-03 6.5196E-02 6.9430E-02 1.5833E-03 4.8587E-02 0.3740 0.7452 0.6770 3.2586E-02 13 18.67 30.00 2.0926E-03 3.2167E-02 3.4260E-02 7.8076E-04 2.3887E-02 0.3731 0.7426 0.6744 3.2685E-02 15 21.78 35.00 1.0293E-03 1.5811E-02 1.6840E-02 3.8350E-04 1.1717E-02 0.3726 0.7411 0.6730 3.2730E-02 17 24.89 40.00 5.0488E-04 7.7545E-03 8.2594E-03 1.8795E-04 5.7399E-03 0.3723 0.7402 0.6722 3.2744E-02 19 28.00 45.00 2.4726E-04 3.7984E-03 4.0456E-03 9.1996E-05 2.8096E-03 0.3721 0.7397 0.6718 3.2743E-02 21 31.11 50.00 1.2099E-04 1.8592E-03 1.9802E-03 4.4999E-05 1.3747E-03 0.3719 0.7394 0.6715 3.2734E-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 0.06714 0.09451 0.09305 0.08770 0.11878 0.11965 0.11356 5.000 5.010 5.005 0.11136 0.12018 0.11967 0.11832 0.13026 0.13063 0.12830 10.000 10.010 10.005 0.12643 0.13055 0.13031 0.12979 0.13581 0.13600 0.13498 15.000 15.010 15.005 0.13388 0.13598 0.13586 0.13571 0.13890 0.13900 0.13861 20.000 20.010 20.005 0.13795 0.13902 0.13896 0.13899 0.14067 0.14072 0.14065 25.000 25.010 25.005 0.14022 0.14075 0.14072 0.14083 0.14168 0.14171 0.14181 30.000 30.010 30.005 0.14151 0.14174 0.14173 0.14187 0.14227 0.14228 0.14245 35.000 35.010 35.005 0.14224 0.14231 0.14230 0.14245 0.14261 0.14262 0.14282 40.000 40.010 40.005 0.14265 0.14264 0.14264 0.14279 0.14282 0.14282 0.14302 45.000 45.010 45.005 0.14288 0.14283 0.14284 0.14297 0.14294 0.14294 0.14313 50.000 50.010 50.005 0.14301 0.14295 0.14295 0.14308 0.14301 0.14301 0.14318 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 485.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.21185E-01 4.99920E-03 8.25403E-03 1.32532E-02 3.41453E-03 0.068111 9 1 10.0 0.0 180.0 7.47760E-02 5.10625E-03 2.58514E-03 7.69139E-03 3.48765E-03 0.034572 9 4 10.0 45.0 135.0 8.21586E-02 5.07551E-03 2.98536E-03 8.06087E-03 3.46665E-03 0.036337 9 7 10.0 90.0 90.0 1.11003E-01 5.04547E-03 6.03602E-03 1.10815E-02 3.44613E-03 0.054377 8 1 20.0 0.0 180.0 5.87355E-02 5.17896E-03 1.42909E-03 6.60805E-03 3.53731E-03 0.024331 8 4 20.0 45.0 135.0 6.53884E-02 5.11179E-03 1.67654E-03 6.78833E-03 3.49143E-03 0.025640 8 7 20.0 90.0 90.0 9.61506E-02 5.07643E-03 3.64169E-03 8.71812E-03 3.46727E-03 0.037875 7 1 30.0 0.0 180.0 5.09268E-02 5.27982E-03 1.22593E-03 6.50575E-03 3.60620E-03 0.024072 7 4 30.0 45.0 135.0 5.64580E-02 5.25073E-03 1.37647E-03 6.62720E-03 3.58633E-03 0.024380 7 7 30.0 90.0 90.0 8.23585E-02 5.18287E-03 2.34436E-03 7.52722E-03 3.53998E-03 0.028465 6 1 40.0 0.0 180.0 4.83392E-02 5.36700E-03 1.36308E-03 6.73009E-03 3.66574E-03 0.028198 6 4 40.0 45.0 135.0 5.28563E-02 5.32551E-03 1.47835E-03 6.80386E-03 3.63741E-03 0.027969 6 7 40.0 90.0 90.0 7.42095E-02 5.26574E-03 2.13978E-03 7.40552E-03 3.59658E-03 0.028834 5 1 50.0 0.0 180.0 5.06821E-02 5.47780E-03 2.15321E-03 7.63101E-03 3.74142E-03 0.042485 5 4 50.0 45.0 135.0 5.40086E-02 5.40535E-03 2.24325E-03 7.64859E-03 3.69193E-03 0.041535 5 7 50.0 90.0 90.0 7.17908E-02 5.36597E-03 2.90008E-03 8.26606E-03 3.66504E-03 0.040396 4 1 60.0 0.0 180.0 6.01604E-02 5.43976E-03 5.01597E-03 1.04557E-02 3.71544E-03 0.083377 4 4 60.0 45.0 135.0 6.15219E-02 5.36056E-03 4.95318E-03 1.03137E-02 3.66135E-03 0.080511 4 7 60.0 90.0 90.0 7.59715E-02 5.40363E-03 5.78419E-03 1.11878E-02 3.69076E-03 0.076136 3 1 70.0 0.0 180.0 8.34730E-02 5.08768E-03 1.38554E-02 1.89431E-02 3.47496E-03 0.165987 3 4 70.0 45.0 135.0 8.11235E-02 5.06998E-03 1.33315E-02 1.84015E-02 3.46287E-03 0.164336 3 7 70.0 90.0 90.0 9.06942E-02 5.13455E-03 1.44974E-02 1.96319E-02 3.50697E-03 0.159849 2 1 80.0 0.0 180.0 1.41822E-01 4.38842E-03 3.44405E-02 3.88289E-02 2.99736E-03 0.242843 2 4 80.0 45.0 135.0 1.31324E-01 4.36486E-03 3.33111E-02 3.76760E-02 2.98127E-03 0.253655 2 7 80.0 90.0 90.0 1.30472E-01 4.44069E-03 3.48858E-02 3.93265E-02 3.03306E-03 0.267382 1 1 87.5 0.0 180.0 2.29300E-01 3.55707E-03 6.07406E-02 6.42977E-02 2.42954E-03 0.264896 1 4 87.5 45.0 135.0 2.06456E-01 3.37052E-03 6.03656E-02 6.37361E-02 2.30211E-03 0.292389 1 7 87.5 90.0 90.0 1.87830E-01 3.81165E-03 6.17802E-02 6.55918E-02 2.60341E-03 0.328916 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 1.325E-02 1.212E-01 1.468E-01 1.267E-01 1.897E-01 9.052E-03 5.062E+00 4.999E-03 3.415E-03 1 0.00 0.00 9.274E-03 2.256E-01 1.878E-02 2.220E-02 3.157E-02 6.458E-03 4.214E+00 3 3.11 5.00 5.038E-03 3.463E-01 1.280E-02 1.692E-02 2.841E-02 6.565E-03 4.567E+00 5 6.22 10.00 2.604E-03 2.516E-01 7.546E-03 1.006E-02 1.640E-02 6.610E-03 4.735E+00 7 9.33 15.00 1.313E-03 1.463E-01 4.189E-03 5.502E-03 8.480E-03 6.627E-03 4.829E+00 9 12.45 20.00 6.529E-04 7.748E-02 2.253E-03 2.884E-03 4.168E-03 6.632E-03 4.883E+00 11 15.56 25.00 3.221E-04 3.930E-02 1.186E-03 1.473E-03 2.001E-03 6.630E-03 4.915E+00 13 18.67 30.00 1.582E-04 1.953E-02 6.150E-04 7.407E-04 9.516E-04 6.625E-03 4.934E+00 15 21.78 35.00 7.755E-05 9.611E-03 3.151E-04 3.687E-04 4.515E-04 6.618E-03 4.945E+00 17 24.89 40.00 3.795E-05 4.709E-03 1.599E-04 1.823E-04 2.146E-04 6.612E-03 4.952E+00 19 28.00 45.00 1.856E-05 2.303E-03 8.058E-05 8.979E-05 1.023E-04 6.605E-03 4.957E+00 21 31.11 50.00 9.072E-06 1.126E-03 4.035E-05 4.410E-05 4.893E-05 6.599E-03 4.960E+00 Waveband 9 of 30 completed in 5.9 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 86.8 m at 495.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 490.0 nm to 500.0 nm: Ed(diffuse) = 4.478E-01 Ed(direct) = 1.039E+00 Ed(total) = 1.487E+00 Absorption Coefficients of Individual Components at 495.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0173 0.0668 0.0087 0.0929 3 3.041 5.000 0.0173 0.0668 0.0087 0.0929 5 6.082 10.000 0.0173 0.0668 0.0087 0.0929 7 9.123 15.000 0.0173 0.0668 0.0087 0.0929 9 12.164 20.000 0.0173 0.0668 0.0087 0.0929 11 15.204 25.000 0.0173 0.0668 0.0087 0.0929 13 18.245 30.000 0.0173 0.0668 0.0087 0.0929 15 21.286 35.000 0.0173 0.0668 0.0087 0.0929 17 24.327 40.000 0.0173 0.0668 0.0087 0.0929 19 27.368 45.000 0.0173 0.0668 0.0087 0.0929 21 30.409 50.000 0.0173 0.0668 0.0087 0.0929 Scattering Coefficients of Individual Components at 495.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0030 0.5123 0.0000 0.5153 3 3.041 5.000 0.0030 0.5123 0.0000 0.5153 5 6.082 10.000 0.0030 0.5123 0.0000 0.5153 7 9.123 15.000 0.0030 0.5123 0.0000 0.5153 9 12.164 20.000 0.0030 0.5123 0.0000 0.5153 11 15.204 25.000 0.0030 0.5123 0.0000 0.5153 13 18.245 30.000 0.0030 0.5123 0.0000 0.5153 15 21.286 35.000 0.0030 0.5123 0.0000 0.5153 17 24.327 40.000 0.0030 0.5123 0.0000 0.5153 19 27.368 45.000 0.0030 0.5123 0.0000 0.5153 21 30.409 50.000 0.0030 0.5123 0.0000 0.5153 Backscattering Coefficients of Individual Components at 495.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00151 0.00512 0.00000 0.00663 3 3.041 5.000 0.00151 0.00512 0.00000 0.00663 5 6.082 10.000 0.00151 0.00512 0.00000 0.00663 7 9.123 15.000 0.00151 0.00512 0.00000 0.00663 9 12.164 20.000 0.00151 0.00512 0.00000 0.00663 11 15.204 25.000 0.00151 0.00512 0.00000 0.00663 13 18.245 30.000 0.00151 0.00512 0.00000 0.00663 15 21.286 35.000 0.00151 0.00512 0.00000 0.00663 17 24.327 40.000 0.00151 0.00512 0.00000 0.00663 19 27.368 45.000 0.00151 0.00512 0.00000 0.00663 21 30.409 50.000 0.00151 0.00512 0.00000 0.00663 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 0.0929 0.5153 0.6082 0.8473 0.00663 0.01287 3 3.041 5.000 0.0929 0.5153 0.6082 0.8473 0.00663 0.01287 5 6.082 10.000 0.0929 0.5153 0.6082 0.8473 0.00663 0.01287 7 9.123 15.000 0.0929 0.5153 0.6082 0.8473 0.00663 0.01287 9 12.164 20.000 0.0929 0.5153 0.6082 0.8473 0.00663 0.01287 11 15.204 25.000 0.0929 0.5153 0.6082 0.8473 0.00663 0.01287 13 18.245 30.000 0.0929 0.5153 0.6082 0.8473 0.00663 0.01287 15 21.286 35.000 0.0929 0.5153 0.6082 0.8473 0.00663 0.01287 17 24.327 40.000 0.0929 0.5153 0.6082 0.8473 0.00663 0.01287 19 27.368 45.000 0.0929 0.5153 0.6082 0.8473 0.00663 0.01287 21 30.409 50.000 0.0929 0.5153 0.6082 0.8473 0.00663 0.01287 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3501E-01 8 20.00 7.8070E-01 7 30.00 5.8663E-01 6 40.00 4.0421E-01 5 50.00 2.6127E-01 4 60.00 1.6255E-01 3 70.00 1.0001E-01 2 80.00 6.2670E-02 1 87.50 4.4793E-02 1 92.50 3.5427E-02 2 100.00 2.6566E-02 3 110.00 1.9188E-02 4 120.00 1.4650E-02 5 130.00 1.1874E-02 6 140.00 1.0166E-02 7 150.00 9.1194E-03 8 160.00 8.4986E-03 9 170.00 8.1707E-03 10 180.00 8.0561E-03 Asymptotic AOP values are MUu(inf) = 0.3706 MUd(inf) = 0.7381 MU(inf) = 0.6702 R(inf) = 0.0327 Lu(inf)/Ed(inf) = 0.006542 (1/sr) k(inf) = 0.1386 (1/m) absorp(check) = 0.0929 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 495.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.8278E-01 2.1044E+00 2.2872E+00 6.7770E-02 1.4866E+00 0.3708 0.7064 0.6204 4.5587E-02 1 0.00 0.00 9.4998E-02 1.6770E+00 1.7720E+00 3.9680E-02 1.4585E+00 0.4177 0.8697 0.8007 2.7206E-02 3 3.04 5.00 6.0902E-02 9.9159E-01 1.0525E+00 2.3871E-02 7.9657E-01 0.3920 0.8033 0.7342 2.9967E-02 5 6.08 10.00 3.4267E-02 5.4076E-01 5.7503E-01 1.3104E-02 4.1859E-01 0.3824 0.7741 0.7052 3.1305E-02 7 9.12 15.00 1.8285E-02 2.8409E-01 3.0237E-01 6.9027E-03 2.1548E-01 0.3775 0.7585 0.6898 3.2033E-02 9 12.16 20.00 9.4871E-03 1.4620E-01 1.5569E-01 3.5556E-03 1.0963E-01 0.3748 0.7498 0.6813 3.2434E-02 11 15.20 25.00 4.8456E-03 7.4360E-02 7.9205E-02 1.8084E-03 5.5388E-02 0.3732 0.7449 0.6765 3.2650E-02 13 18.25 30.00 2.4528E-03 3.7563E-02 4.0016E-02 9.1313E-04 2.7873E-02 0.3723 0.7420 0.6737 3.2761E-02 15 21.29 35.00 1.2353E-03 1.8900E-02 2.0135E-02 4.5917E-04 1.3993E-02 0.3717 0.7404 0.6722 3.2815E-02 17 24.33 40.00 6.2027E-04 9.4873E-03 1.0108E-02 2.3035E-04 7.0151E-03 0.3714 0.7394 0.6713 3.2836E-02 19 27.37 45.00 3.1093E-04 4.7559E-03 5.0669E-03 1.1540E-04 3.5139E-03 0.3712 0.7389 0.6707 3.2841E-02 21 30.41 50.00 1.5571E-04 2.3821E-03 2.5379E-03 5.7769E-05 1.7592E-03 0.3710 0.7385 0.6704 3.2838E-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 0.06391 0.09095 0.08950 0.08407 0.11470 0.11555 0.10955 5.000 5.010 5.005 0.10664 0.11559 0.11507 0.11366 0.12571 0.12608 0.12374 10.000 10.010 10.005 0.12153 0.12578 0.12553 0.12497 0.13113 0.13133 0.13028 15.000 15.010 15.005 0.12898 0.13119 0.13105 0.13088 0.13420 0.13431 0.13388 20.000 20.010 20.005 0.13310 0.13425 0.13418 0.13419 0.13598 0.13604 0.13594 25.000 25.010 25.005 0.13544 0.13602 0.13599 0.13608 0.13701 0.13705 0.13711 30.000 30.010 30.005 0.13677 0.13705 0.13703 0.13715 0.13762 0.13764 0.13778 35.000 35.010 35.005 0.13754 0.13765 0.13764 0.13777 0.13798 0.13799 0.13816 40.000 40.010 40.005 0.13798 0.13800 0.13800 0.13813 0.13820 0.13820 0.13837 45.000 45.010 45.005 0.13824 0.13821 0.13821 0.13833 0.13833 0.13833 0.13849 50.000 50.010 50.005 0.13838 0.13834 0.13834 0.13845 0.13841 0.13841 0.13855 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 495.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.20839E-01 5.05608E-03 8.36643E-03 1.34225E-02 3.40107E-03 0.069236 9 1 10.0 0.0 180.0 7.45626E-02 5.16204E-03 2.59601E-03 7.75805E-03 3.47234E-03 0.034817 9 4 10.0 45.0 135.0 8.19242E-02 5.13179E-03 3.00032E-03 8.13212E-03 3.45200E-03 0.036623 9 7 10.0 90.0 90.0 1.10686E-01 5.10358E-03 6.10292E-03 1.12065E-02 3.43302E-03 0.055137 8 1 20.0 0.0 180.0 5.85679E-02 5.23502E-03 1.42594E-03 6.66096E-03 3.52144E-03 0.024347 8 4 20.0 45.0 135.0 6.52019E-02 5.16851E-03 1.67414E-03 6.84265E-03 3.47670E-03 0.025676 8 7 20.0 90.0 90.0 9.58762E-02 5.13636E-03 3.66329E-03 8.79965E-03 3.45507E-03 0.038209 7 1 30.0 0.0 180.0 5.07815E-02 5.33699E-03 1.22243E-03 6.55942E-03 3.59003E-03 0.024072 7 4 30.0 45.0 135.0 5.62976E-02 5.30952E-03 1.37266E-03 6.68218E-03 3.57155E-03 0.024382 7 7 30.0 90.0 90.0 8.21193E-02 5.24602E-03 2.34396E-03 7.58998E-03 3.52883E-03 0.028543 6 1 40.0 0.0 180.0 4.82013E-02 5.42600E-03 1.35919E-03 6.78520E-03 3.64990E-03 0.028198 6 4 40.0 45.0 135.0 5.27055E-02 5.38668E-03 1.47413E-03 6.86081E-03 3.62345E-03 0.027969 6 7 40.0 90.0 90.0 7.39977E-02 5.33333E-03 2.13408E-03 7.46741E-03 3.58757E-03 0.028840 5 1 50.0 0.0 180.0 5.05375E-02 5.53934E-03 2.14706E-03 7.68640E-03 3.72614E-03 0.042485 5 4 50.0 45.0 135.0 5.38545E-02 5.46927E-03 2.23684E-03 7.70612E-03 3.67901E-03 0.041535 5 7 50.0 90.0 90.0 7.15860E-02 5.43827E-03 2.89181E-03 8.33008E-03 3.65815E-03 0.040396 4 1 60.0 0.0 180.0 5.99887E-02 5.50232E-03 5.00165E-03 1.05040E-02 3.70124E-03 0.083377 4 4 60.0 45.0 135.0 6.13464E-02 5.42590E-03 4.93904E-03 1.03649E-02 3.64983E-03 0.080511 4 7 60.0 90.0 90.0 7.57547E-02 5.47988E-03 5.76768E-03 1.12476E-02 3.68615E-03 0.076136 3 1 70.0 0.0 180.0 8.32348E-02 5.14782E-03 1.38159E-02 1.89637E-02 3.46278E-03 0.165987 3 4 70.0 45.0 135.0 8.08921E-02 5.13387E-03 1.32935E-02 1.84273E-02 3.45340E-03 0.164336 3 7 70.0 90.0 90.0 9.04354E-02 5.21051E-03 1.44560E-02 1.96665E-02 3.50495E-03 0.159849 2 1 80.0 0.0 180.0 1.41417E-01 4.44157E-03 3.43422E-02 3.87838E-02 2.98770E-03 0.242843 2 4 80.0 45.0 135.0 1.30950E-01 4.42151E-03 3.32161E-02 3.76376E-02 2.97421E-03 0.253655 2 7 80.0 90.0 90.0 1.30099E-01 4.50897E-03 3.47862E-02 3.92952E-02 3.03304E-03 0.267382 1 1 87.5 0.0 180.0 2.28646E-01 3.60111E-03 6.05673E-02 6.41684E-02 2.42236E-03 0.264896 1 4 87.5 45.0 135.0 2.05867E-01 3.41539E-03 6.01933E-02 6.36087E-02 2.29742E-03 0.292389 1 7 87.5 90.0 90.0 1.87294E-01 3.87222E-03 6.16039E-02 6.54761E-02 2.60472E-03 0.328916 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 1.342E-02 1.208E-01 1.464E-01 1.264E-01 1.892E-01 9.029E-03 5.049E+00 5.056E-03 3.401E-03 1 0.00 0.00 9.379E-03 2.250E-01 1.902E-02 2.258E-02 3.223E-02 6.430E-03 4.231E+00 3 3.04 5.00 5.207E-03 3.542E-01 1.322E-02 1.754E-02 2.959E-02 6.537E-03 4.584E+00 5 6.08 10.00 2.755E-03 2.643E-01 7.984E-03 1.069E-02 1.754E-02 6.582E-03 4.756E+00 7 9.12 15.00 1.422E-03 1.578E-01 4.541E-03 5.997E-03 9.316E-03 6.600E-03 4.853E+00 9 12.16 20.00 7.241E-04 8.574E-02 2.502E-03 3.222E-03 4.700E-03 6.605E-03 4.910E+00 11 15.20 25.00 3.658E-04 4.457E-02 1.350E-03 1.687E-03 2.314E-03 6.604E-03 4.944E+00 13 18.25 30.00 1.840E-04 2.269E-02 7.170E-04 8.693E-04 1.128E-03 6.600E-03 4.964E+00 15 21.29 35.00 9.227E-05 1.143E-02 3.764E-04 4.432E-04 5.478E-04 6.594E-03 4.976E+00 17 24.33 40.00 4.622E-05 5.732E-03 1.957E-04 2.245E-04 2.664E-04 6.588E-03 4.984E+00 19 27.37 45.00 2.313E-05 2.868E-03 1.010E-04 1.132E-04 1.299E-04 6.583E-03 4.989E+00 21 30.41 50.00 1.157E-05 1.434E-03 5.180E-05 5.692E-05 6.356E-05 6.578E-03 4.992E+00 Waveband 10 of 30 completed in 5.8 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 86.8 m at 505.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 500.0 nm to 510.0 nm: Ed(diffuse) = 4.326E-01 Ed(direct) = 1.028E+00 Ed(total) = 1.460E+00 Absorption Coefficients of Individual Components at 505.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0256 0.0603 0.0076 0.0934 3 2.992 5.000 0.0256 0.0603 0.0076 0.0934 5 5.984 10.000 0.0256 0.0603 0.0076 0.0934 7 8.975 15.000 0.0256 0.0603 0.0076 0.0934 9 11.967 20.000 0.0256 0.0603 0.0076 0.0934 11 14.959 25.000 0.0256 0.0603 0.0076 0.0934 13 17.951 30.000 0.0256 0.0603 0.0076 0.0934 15 20.942 35.000 0.0256 0.0603 0.0076 0.0934 17 23.934 40.000 0.0256 0.0603 0.0076 0.0934 19 26.926 45.000 0.0256 0.0603 0.0076 0.0934 21 29.918 50.000 0.0256 0.0603 0.0076 0.0934 Scattering Coefficients of Individual Components at 505.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0028 0.5021 0.0000 0.5049 3 2.992 5.000 0.0028 0.5021 0.0000 0.5049 5 5.984 10.000 0.0028 0.5021 0.0000 0.5049 7 8.975 15.000 0.0028 0.5021 0.0000 0.5049 9 11.967 20.000 0.0028 0.5021 0.0000 0.5049 11 14.959 25.000 0.0028 0.5021 0.0000 0.5049 13 17.951 30.000 0.0028 0.5021 0.0000 0.5049 15 20.942 35.000 0.0028 0.5021 0.0000 0.5049 17 23.934 40.000 0.0028 0.5021 0.0000 0.5049 19 26.926 45.000 0.0028 0.5021 0.0000 0.5049 21 29.918 50.000 0.0028 0.5021 0.0000 0.5049 Backscattering Coefficients of Individual Components at 505.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00138 0.00502 0.00000 0.00641 3 2.992 5.000 0.00138 0.00502 0.00000 0.00641 5 5.984 10.000 0.00138 0.00502 0.00000 0.00641 7 8.975 15.000 0.00138 0.00502 0.00000 0.00641 9 11.967 20.000 0.00138 0.00502 0.00000 0.00641 11 14.959 25.000 0.00138 0.00502 0.00000 0.00641 13 17.951 30.000 0.00138 0.00502 0.00000 0.00641 15 20.942 35.000 0.00138 0.00502 0.00000 0.00641 17 23.934 40.000 0.00138 0.00502 0.00000 0.00641 19 26.926 45.000 0.00138 0.00502 0.00000 0.00641 21 29.918 50.000 0.00138 0.00502 0.00000 0.00641 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 0.0934 0.5049 0.5984 0.8438 0.00641 0.01269 3 2.992 5.000 0.0934 0.5049 0.5984 0.8438 0.00641 0.01269 5 5.984 10.000 0.0934 0.5049 0.5984 0.8438 0.00641 0.01269 7 8.975 15.000 0.0934 0.5049 0.5984 0.8438 0.00641 0.01269 9 11.967 20.000 0.0934 0.5049 0.5984 0.8438 0.00641 0.01269 11 14.959 25.000 0.0934 0.5049 0.5984 0.8438 0.00641 0.01269 13 17.951 30.000 0.0934 0.5049 0.5984 0.8438 0.00641 0.01269 15 20.942 35.000 0.0934 0.5049 0.5984 0.8438 0.00641 0.01269 17 23.934 40.000 0.0934 0.5049 0.5984 0.8438 0.00641 0.01269 19 26.926 45.000 0.0934 0.5049 0.5984 0.8438 0.00641 0.01269 21 29.918 50.000 0.0934 0.5049 0.5984 0.8438 0.00641 0.01269 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3401E-01 8 20.00 7.7764E-01 7 30.00 5.8178E-01 6 40.00 3.9867E-01 5 50.00 2.5612E-01 4 60.00 1.5836E-01 3 70.00 9.6863E-02 2 80.00 6.0376E-02 1 87.50 4.3003E-02 1 92.50 3.3938E-02 2 100.00 2.5383E-02 3 110.00 1.8281E-02 4 120.00 1.3926E-02 5 130.00 1.1270E-02 6 140.00 9.6385E-03 7 150.00 8.6409E-03 8 160.00 8.0501E-03 9 170.00 7.7384E-03 10 180.00 7.6295E-03 Asymptotic AOP values are MUu(inf) = 0.3696 MUd(inf) = 0.7405 MU(inf) = 0.6748 R(inf) = 0.0314 Lu(inf)/Ed(inf) = 0.006261 (1/sr) k(inf) = 0.1385 (1/m) absorp(check) = 0.0934 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 505.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.7650E-01 2.0611E+00 2.2376E+00 6.5615E-02 1.4605E+00 0.3717 0.7086 0.6234 4.4927E-02 1 0.00 0.00 8.9867E-02 1.6443E+00 1.7342E+00 3.7445E-02 1.4323E+00 0.4167 0.8711 0.8043 2.6143E-02 3 2.99 5.00 5.7540E-02 9.7044E-01 1.0280E+00 2.2502E-02 7.8187E-01 0.3911 0.8057 0.7387 2.8779E-02 5 5.98 10.00 3.2376E-02 5.2909E-01 5.6146E-01 1.2353E-02 4.1094E-01 0.3815 0.7767 0.7099 3.0059E-02 7 8.98 15.00 1.7285E-02 2.7804E-01 2.9533E-01 6.5101E-03 2.1164E-01 0.3766 0.7612 0.6946 3.0760E-02 9 11.97 20.00 8.9748E-03 1.4317E-01 1.5214E-01 3.3554E-03 1.0773E-01 0.3739 0.7525 0.6860 3.1147E-02 11 14.96 25.00 4.5867E-03 7.2851E-02 7.7437E-02 1.7075E-03 5.4452E-02 0.3723 0.7475 0.6811 3.1357E-02 13 17.95 30.00 2.3232E-03 3.6820E-02 3.9143E-02 8.6265E-04 2.7415E-02 0.3713 0.7446 0.6783 3.1466E-02 15 20.94 35.00 1.1706E-03 1.8535E-02 1.9706E-02 4.3401E-04 1.3770E-02 0.3707 0.7429 0.6767 3.1519E-02 17 23.93 40.00 5.8811E-04 9.3089E-03 9.8970E-03 2.1783E-04 6.9063E-03 0.3704 0.7419 0.6758 3.1541E-02 19 26.93 45.00 2.9493E-04 4.6683E-03 4.9633E-03 1.0917E-04 3.4608E-03 0.3702 0.7413 0.6753 3.1546E-02 21 29.92 50.00 1.4777E-04 2.3393E-03 2.4871E-03 5.4676E-05 1.7334E-03 0.3700 0.7410 0.6750 3.1543E-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 0.06379 0.09138 0.08995 0.08437 0.11491 0.11573 0.10982 5.000 5.010 5.005 0.10673 0.11575 0.11525 0.11373 0.12572 0.12607 0.12378 10.000 10.010 10.005 0.12146 0.12575 0.12551 0.12490 0.13106 0.13125 0.13023 15.000 15.010 15.005 0.12885 0.13110 0.13096 0.13076 0.13410 0.13420 0.13380 20.000 20.010 20.005 0.13296 0.13414 0.13407 0.13406 0.13587 0.13593 0.13584 25.000 25.010 25.005 0.13531 0.13591 0.13588 0.13596 0.13691 0.13694 0.13702 30.000 30.010 30.005 0.13666 0.13695 0.13693 0.13705 0.13753 0.13754 0.13769 35.000 35.010 35.005 0.13744 0.13755 0.13754 0.13767 0.13789 0.13790 0.13807 40.000 40.010 40.005 0.13788 0.13790 0.13790 0.13803 0.13811 0.13811 0.13828 45.000 45.010 45.005 0.13814 0.13812 0.13812 0.13824 0.13824 0.13824 0.13840 50.000 50.010 50.005 0.13829 0.13825 0.13825 0.13836 0.13832 0.13832 0.13847 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 505.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.16731E-01 4.75603E-03 8.20628E-03 1.29623E-02 3.25649E-03 0.070301 9 1 10.0 0.0 180.0 7.20279E-02 4.85542E-03 2.52445E-03 7.37986E-03 3.32454E-03 0.035048 9 4 10.0 45.0 135.0 7.91393E-02 4.82704E-03 2.91979E-03 7.74683E-03 3.30511E-03 0.036894 9 7 10.0 90.0 90.0 1.06924E-01 4.80078E-03 5.97233E-03 1.07731E-02 3.28712E-03 0.055856 8 1 20.0 0.0 180.0 5.65770E-02 4.92402E-03 1.37831E-03 6.30233E-03 3.37151E-03 0.024362 8 4 20.0 45.0 135.0 6.29854E-02 4.86156E-03 1.61942E-03 6.48097E-03 3.32874E-03 0.025711 8 7 20.0 90.0 90.0 9.26170E-02 4.83184E-03 3.56800E-03 8.39984E-03 3.30839E-03 0.038524 7 1 30.0 0.0 180.0 4.90553E-02 5.01996E-03 1.18088E-03 6.20083E-03 3.43720E-03 0.024072 7 4 30.0 45.0 135.0 5.43844E-02 4.99426E-03 1.32610E-03 6.32036E-03 3.41960E-03 0.024384 7 7 30.0 90.0 90.0 7.93238E-02 4.93538E-03 2.27003E-03 7.20541E-03 3.37929E-03 0.028617 6 1 40.0 0.0 180.0 4.65627E-02 5.10382E-03 1.31299E-03 6.41681E-03 3.49462E-03 0.028198 6 4 40.0 45.0 135.0 5.09138E-02 5.06707E-03 1.42402E-03 6.49109E-03 3.46946E-03 0.027969 6 7 40.0 90.0 90.0 7.14822E-02 5.01839E-03 2.06191E-03 7.08030E-03 3.43613E-03 0.028845 5 1 50.0 0.0 180.0 4.88195E-02 5.21073E-03 2.07407E-03 7.28481E-03 3.56782E-03 0.042485 5 4 50.0 45.0 135.0 5.20237E-02 5.14524E-03 2.16080E-03 7.30605E-03 3.52298E-03 0.041535 5 7 50.0 90.0 90.0 6.91524E-02 5.11843E-03 2.79351E-03 7.91194E-03 3.50463E-03 0.040396 4 1 60.0 0.0 180.0 5.79495E-02 5.17633E-03 4.83163E-03 1.00080E-02 3.54427E-03 0.083377 4 4 60.0 45.0 135.0 5.92610E-02 5.10507E-03 4.77115E-03 9.87621E-03 3.49548E-03 0.080511 4 7 60.0 90.0 90.0 7.31795E-02 5.15916E-03 5.57162E-03 1.07308E-02 3.53251E-03 0.076136 3 1 70.0 0.0 180.0 8.04053E-02 4.84357E-03 1.33462E-02 1.81898E-02 3.31643E-03 0.165987 3 4 70.0 45.0 135.0 7.81422E-02 4.83134E-03 1.28416E-02 1.76729E-02 3.30805E-03 0.164336 3 7 70.0 90.0 90.0 8.73611E-02 4.90778E-03 1.39646E-02 1.88724E-02 3.36039E-03 0.159849 2 1 80.0 0.0 180.0 1.36610E-01 4.17980E-03 3.31748E-02 3.73546E-02 2.86194E-03 0.242843 2 4 80.0 45.0 135.0 1.26498E-01 4.16198E-03 3.20869E-02 3.62489E-02 2.84974E-03 0.253655 2 7 80.0 90.0 90.0 1.25677E-01 4.24897E-03 3.36037E-02 3.78527E-02 2.90930E-03 0.267382 1 1 87.5 0.0 180.0 2.20873E-01 3.38968E-03 5.85083E-02 6.18980E-02 2.32094E-03 0.264896 1 4 87.5 45.0 135.0 1.98869E-01 3.21590E-03 5.81471E-02 6.13630E-02 2.20195E-03 0.292389 1 7 87.5 90.0 90.0 1.80927E-01 3.65096E-03 5.95098E-02 6.31607E-02 2.49984E-03 0.328916 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 1.296E-02 1.167E-01 1.414E-01 1.220E-01 1.828E-01 8.875E-03 5.062E+00 4.756E-03 3.256E-03 1 0.00 0.00 8.822E-03 2.173E-01 1.797E-02 2.141E-02 3.074E-02 6.160E-03 4.244E+00 3 2.99 5.00 4.894E-03 3.435E-01 1.249E-02 1.665E-02 2.824E-02 6.260E-03 4.597E+00 5 5.98 10.00 2.590E-03 2.579E-01 7.537E-03 1.014E-02 1.676E-02 6.302E-03 4.770E+00 7 8.98 15.00 1.337E-03 1.549E-01 4.287E-03 5.690E-03 8.912E-03 6.319E-03 4.868E+00 9 11.97 20.00 6.812E-04 8.451E-02 2.363E-03 3.060E-03 4.503E-03 6.324E-03 4.925E+00 11 14.96 25.00 3.443E-04 4.407E-02 1.276E-03 1.604E-03 2.220E-03 6.322E-03 4.960E+00 13 17.95 30.00 1.732E-04 2.248E-02 6.782E-04 8.271E-04 1.082E-03 6.318E-03 4.980E+00 15 20.94 35.00 8.692E-05 1.135E-02 3.563E-04 4.221E-04 5.261E-04 6.313E-03 4.993E+00 17 23.93 40.00 4.356E-05 5.697E-03 1.855E-04 2.139E-04 2.559E-04 6.307E-03 5.001E+00 19 26.93 45.00 2.181E-05 2.853E-03 9.583E-05 1.080E-04 1.248E-04 6.301E-03 5.006E+00 21 29.92 50.00 1.091E-05 1.428E-03 4.921E-05 5.432E-05 6.104E-05 6.297E-03 5.010E+00 Waveband 11 of 30 completed in 5.7 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 86.8 m at 515.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 510.0 nm to 520.0 nm: Ed(diffuse) = 4.102E-01 Ed(direct) = 9.960E-01 Ed(total) = 1.406E+00 Absorption Coefficients of Individual Components at 515.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0396 0.0546 0.0066 0.1008 3 2.979 5.000 0.0396 0.0546 0.0066 0.1008 5 5.957 10.000 0.0396 0.0546 0.0066 0.1008 7 8.936 15.000 0.0396 0.0546 0.0066 0.1008 9 11.915 20.000 0.0396 0.0546 0.0066 0.1008 11 14.893 25.000 0.0396 0.0546 0.0066 0.1008 13 17.872 30.000 0.0396 0.0546 0.0066 0.1008 15 20.851 35.000 0.0396 0.0546 0.0066 0.1008 17 23.830 40.000 0.0396 0.0546 0.0066 0.1008 19 26.808 45.000 0.0396 0.0546 0.0066 0.1008 21 29.787 50.000 0.0396 0.0546 0.0066 0.1008 Scattering Coefficients of Individual Components at 515.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0025 0.4924 0.0000 0.4949 3 2.979 5.000 0.0025 0.4924 0.0000 0.4949 5 5.957 10.000 0.0025 0.4924 0.0000 0.4949 7 8.936 15.000 0.0025 0.4924 0.0000 0.4949 9 11.915 20.000 0.0025 0.4924 0.0000 0.4949 11 14.893 25.000 0.0025 0.4924 0.0000 0.4949 13 17.872 30.000 0.0025 0.4924 0.0000 0.4949 15 20.851 35.000 0.0025 0.4924 0.0000 0.4949 17 23.830 40.000 0.0025 0.4924 0.0000 0.4949 19 26.808 45.000 0.0025 0.4924 0.0000 0.4949 21 29.787 50.000 0.0025 0.4924 0.0000 0.4949 Backscattering Coefficients of Individual Components at 515.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00127 0.00492 0.00000 0.00620 3 2.979 5.000 0.00127 0.00492 0.00000 0.00620 5 5.957 10.000 0.00127 0.00492 0.00000 0.00620 7 8.936 15.000 0.00127 0.00492 0.00000 0.00620 9 11.915 20.000 0.00127 0.00492 0.00000 0.00620 11 14.893 25.000 0.00127 0.00492 0.00000 0.00620 13 17.872 30.000 0.00127 0.00492 0.00000 0.00620 15 20.851 35.000 0.00127 0.00492 0.00000 0.00620 17 23.830 40.000 0.00127 0.00492 0.00000 0.00620 19 26.808 45.000 0.00127 0.00492 0.00000 0.00620 21 29.787 50.000 0.00127 0.00492 0.00000 0.00620 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 0.1008 0.4949 0.5957 0.8308 0.00620 0.01252 3 2.979 5.000 0.1008 0.4949 0.5957 0.8308 0.00620 0.01252 5 5.957 10.000 0.1008 0.4949 0.5957 0.8308 0.00620 0.01252 7 8.936 15.000 0.1008 0.4949 0.5957 0.8308 0.00620 0.01252 9 11.915 20.000 0.1008 0.4949 0.5957 0.8308 0.00620 0.01252 11 14.893 25.000 0.1008 0.4949 0.5957 0.8308 0.00620 0.01252 13 17.872 30.000 0.1008 0.4949 0.5957 0.8308 0.00620 0.01252 15 20.851 35.000 0.1008 0.4949 0.5957 0.8308 0.00620 0.01252 17 23.830 40.000 0.1008 0.4949 0.5957 0.8308 0.00620 0.01252 19 26.808 45.000 0.1008 0.4949 0.5957 0.8308 0.00620 0.01252 21 29.787 50.000 0.1008 0.4949 0.5957 0.8308 0.00620 0.01252 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3025E-01 8 20.00 7.6627E-01 7 30.00 5.6397E-01 6 40.00 3.7875E-01 5 50.00 2.3805E-01 4 60.00 1.4404E-01 3 70.00 8.6401E-02 2 80.00 5.2983E-02 1 87.50 3.7370E-02 1 92.50 2.9343E-02 2 100.00 2.1819E-02 3 110.00 1.5630E-02 4 120.00 1.1874E-02 5 130.00 9.6026E-03 6 140.00 8.2175E-03 7 150.00 7.3755E-03 8 160.00 6.8795E-03 9 170.00 6.6188E-03 10 180.00 6.5279E-03 Asymptotic AOP values are MUu(inf) = 0.3684 MUd(inf) = 0.7490 MU(inf) = 0.6890 R(inf) = 0.0279 Lu(inf)/Ed(inf) = 0.005565 (1/sr) k(inf) = 0.1463 (1/m) absorp(check) = 0.1008 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 515.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.6529E-01 1.9792E+00 2.1445E+00 6.1305E-02 1.4062E+00 0.3709 0.7105 0.6271 4.3595E-02 1 0.00 0.00 7.7785E-02 1.5758E+00 1.6536E+00 3.2255E-02 1.3772E+00 0.4147 0.8740 0.8134 2.3421E-02 3 2.98 5.00 4.7819E-02 8.9138E-01 9.3920E-01 1.8613E-02 7.2244E-01 0.3892 0.8105 0.7494 2.5764E-02 5 5.96 10.00 2.5800E-02 4.6603E-01 4.9183E-01 9.8055E-03 3.6480E-01 0.3801 0.7828 0.7218 2.6879E-02 7 8.94 15.00 1.3218E-02 2.3505E-01 2.4827E-01 4.9614E-03 1.8052E-01 0.3753 0.7680 0.7071 2.7483E-02 9 11.91 20.00 6.5895E-03 1.1623E-01 1.2282E-01 2.4560E-03 8.8305E-02 0.3727 0.7598 0.6990 2.7813E-02 11 14.89 25.00 3.2349E-03 5.6821E-02 6.0056E-02 1.2008E-03 4.2905E-02 0.3712 0.7551 0.6944 2.7987E-02 13 17.87 30.00 1.5743E-03 2.7599E-02 2.9173E-02 5.8296E-04 2.0766E-02 0.3703 0.7524 0.6918 2.8073E-02 15 20.85 35.00 7.6238E-04 1.3354E-02 1.4117E-02 2.8189E-04 1.0028E-02 0.3697 0.7509 0.6904 2.8111E-02 17 23.83 40.00 3.6815E-04 6.4478E-03 6.8160E-03 1.3600E-04 4.8360E-03 0.3694 0.7500 0.6896 2.8122E-02 19 26.81 45.00 1.7749E-04 3.1091E-03 3.2866E-03 6.5528E-05 2.3304E-03 0.3692 0.7495 0.6891 2.8119E-02 21 29.79 50.00 8.5492E-05 1.4981E-03 1.5836E-03 3.1551E-05 1.1224E-03 0.3691 0.7492 0.6889 2.8110E-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 0.06919 0.09896 0.09755 0.09153 0.12271 0.12346 0.11749 5.000 5.010 5.005 0.11521 0.12423 0.12378 0.12202 0.13373 0.13404 0.13180 10.000 10.010 10.005 0.12978 0.13405 0.13382 0.13310 0.13906 0.13922 0.13824 15.000 15.010 15.005 0.13704 0.13924 0.13913 0.13887 0.14206 0.14215 0.14179 20.000 20.010 20.005 0.14104 0.14219 0.14213 0.14210 0.14380 0.14385 0.14380 25.000 25.010 25.005 0.14333 0.14389 0.14386 0.14395 0.14481 0.14484 0.14495 30.000 30.010 30.005 0.14462 0.14487 0.14486 0.14500 0.14540 0.14541 0.14561 35.000 35.010 35.005 0.14536 0.14544 0.14544 0.14559 0.14575 0.14575 0.14597 40.000 40.010 40.005 0.14578 0.14577 0.14577 0.14593 0.14595 0.14595 0.14617 45.000 45.010 45.005 0.14602 0.14597 0.14597 0.14612 0.14607 0.14607 0.14628 50.000 50.010 50.005 0.14616 0.14608 0.14609 0.14622 0.14614 0.14614 0.14633 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 515.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.10700E-01 4.08958E-03 7.89040E-03 1.19800E-02 2.90814E-03 0.071277 9 1 10.0 0.0 180.0 6.83067E-02 4.17756E-03 2.40853E-03 6.58609E-03 2.97071E-03 0.035261 9 4 10.0 45.0 135.0 7.50506E-02 4.15215E-03 2.78762E-03 6.93977E-03 2.95264E-03 0.037143 9 7 10.0 90.0 90.0 1.01400E-01 4.12724E-03 5.73065E-03 9.85789E-03 2.93493E-03 0.056516 8 1 20.0 0.0 180.0 5.36540E-02 4.23718E-03 1.30784E-03 5.54502E-03 3.01311E-03 0.024375 8 4 20.0 45.0 135.0 5.97313E-02 4.18176E-03 1.53765E-03 5.71941E-03 2.97369E-03 0.025743 8 7 20.0 90.0 90.0 8.78321E-02 4.15244E-03 3.40910E-03 7.56153E-03 2.95284E-03 0.038814 7 1 30.0 0.0 180.0 4.65209E-02 4.31974E-03 1.11987E-03 5.43961E-03 3.07182E-03 0.024072 7 4 30.0 45.0 135.0 5.15753E-02 4.29528E-03 1.25768E-03 5.55296E-03 3.05442E-03 0.024385 7 7 30.0 90.0 90.0 7.52222E-02 4.23956E-03 2.15775E-03 6.39732E-03 3.01480E-03 0.028685 6 1 40.0 0.0 180.0 4.41571E-02 4.39095E-03 1.24515E-03 5.63610E-03 3.12245E-03 0.028198 6 4 40.0 45.0 135.0 4.82834E-02 4.35627E-03 1.35045E-03 5.70672E-03 3.09779E-03 0.027969 6 7 40.0 90.0 90.0 6.77892E-02 4.30812E-03 1.95571E-03 6.26383E-03 3.06355E-03 0.028850 5 1 50.0 0.0 180.0 4.62973E-02 4.48173E-03 1.96692E-03 6.44865E-03 3.18701E-03 0.042485 5 4 50.0 45.0 135.0 4.93360E-02 4.42196E-03 2.04917E-03 6.47113E-03 3.14451E-03 0.041535 5 7 50.0 90.0 90.0 6.55798E-02 4.39224E-03 2.64918E-03 7.04143E-03 3.12338E-03 0.040396 4 1 60.0 0.0 180.0 5.49556E-02 4.45102E-03 4.58201E-03 9.03303E-03 3.16517E-03 0.083377 4 4 60.0 45.0 135.0 5.61993E-02 4.38611E-03 4.52465E-03 8.91076E-03 3.11902E-03 0.080511 4 7 60.0 90.0 90.0 6.93988E-02 4.42598E-03 5.28376E-03 9.70974E-03 3.14736E-03 0.076136 3 1 70.0 0.0 180.0 7.62513E-02 4.16420E-03 1.26567E-02 1.68209E-02 2.96121E-03 0.165987 3 4 70.0 45.0 135.0 7.41051E-02 4.15032E-03 1.21781E-02 1.63284E-02 2.95134E-03 0.164336 3 7 70.0 90.0 90.0 8.28477E-02 4.21057E-03 1.32431E-02 1.74537E-02 2.99418E-03 0.159849 2 1 80.0 0.0 180.0 1.29552E-01 3.59337E-03 3.14609E-02 3.50542E-02 2.55529E-03 0.242843 2 4 80.0 45.0 135.0 1.19963E-01 3.57530E-03 3.04292E-02 3.40045E-02 2.54244E-03 0.253655 2 7 80.0 90.0 90.0 1.19184E-01 3.64628E-03 3.18676E-02 3.55139E-02 2.59291E-03 0.267382 1 1 87.5 0.0 180.0 2.09462E-01 2.91455E-03 5.54856E-02 5.84001E-02 2.07257E-03 0.264896 1 4 87.5 45.0 135.0 1.88595E-01 2.76322E-03 5.51430E-02 5.79062E-02 1.96496E-03 0.292389 1 7 87.5 90.0 90.0 1.71580E-01 3.13501E-03 5.64353E-02 5.95703E-02 2.22934E-03 0.328916 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 1.198E-02 1.107E-01 1.339E-01 1.156E-01 1.732E-01 8.519E-03 5.117E+00 4.090E-03 2.908E-03 1 0.00 0.00 7.586E-03 2.061E-01 1.559E-02 1.866E-02 2.704E-02 5.508E-03 4.252E+00 3 2.98 5.00 4.045E-03 3.153E-01 1.047E-02 1.403E-02 2.403E-02 5.600E-03 4.601E+00 5 5.96 10.00 2.056E-03 2.296E-01 6.046E-03 8.175E-03 1.363E-02 5.637E-03 4.768E+00 7 8.94 15.00 1.020E-03 1.337E-01 3.297E-03 4.397E-03 6.944E-03 5.652E-03 4.862E+00 9 11.91 20.00 4.994E-04 7.061E-02 1.744E-03 2.269E-03 3.366E-03 5.656E-03 4.918E+00 11 14.89 25.00 2.426E-04 3.559E-02 9.042E-04 1.142E-03 1.593E-03 5.654E-03 4.950E+00 13 17.87 30.00 1.173E-04 1.752E-02 4.620E-04 5.658E-04 7.458E-04 5.649E-03 4.970E+00 15 20.85 35.00 5.658E-05 8.527E-03 2.333E-04 2.775E-04 3.482E-04 5.643E-03 4.982E+00 17 23.83 40.00 2.726E-05 4.125E-03 1.168E-04 1.352E-04 1.627E-04 5.636E-03 4.989E+00 19 26.81 45.00 1.312E-05 1.989E-03 5.803E-05 6.561E-05 7.622E-05 5.630E-03 4.994E+00 21 29.79 50.00 6.313E-06 9.582E-04 2.866E-05 3.174E-05 3.583E-05 5.625E-03 4.998E+00 Waveband 12 of 30 completed in 5.7 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 86.8 m at 525.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 520.0 nm to 530.0 nm: Ed(diffuse) = 4.132E-01 Ed(direct) = 1.024E+00 Ed(total) = 1.437E+00 Absorption Coefficients of Individual Components at 525.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0417 0.0471 0.0057 0.0945 3 2.899 5.000 0.0417 0.0471 0.0057 0.0945 5 5.799 10.000 0.0417 0.0471 0.0057 0.0945 7 8.698 15.000 0.0417 0.0471 0.0057 0.0945 9 11.597 20.000 0.0417 0.0471 0.0057 0.0945 11 14.497 25.000 0.0417 0.0471 0.0057 0.0945 13 17.396 30.000 0.0417 0.0471 0.0057 0.0945 15 20.295 35.000 0.0417 0.0471 0.0057 0.0945 17 23.195 40.000 0.0417 0.0471 0.0057 0.0945 19 26.094 45.000 0.0417 0.0471 0.0057 0.0945 21 28.993 50.000 0.0417 0.0471 0.0057 0.0945 Scattering Coefficients of Individual Components at 525.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0023 0.4830 0.0000 0.4854 3 2.899 5.000 0.0023 0.4830 0.0000 0.4854 5 5.799 10.000 0.0023 0.4830 0.0000 0.4854 7 8.698 15.000 0.0023 0.4830 0.0000 0.4854 9 11.597 20.000 0.0023 0.4830 0.0000 0.4854 11 14.497 25.000 0.0023 0.4830 0.0000 0.4854 13 17.396 30.000 0.0023 0.4830 0.0000 0.4854 15 20.295 35.000 0.0023 0.4830 0.0000 0.4854 17 23.195 40.000 0.0023 0.4830 0.0000 0.4854 19 26.094 45.000 0.0023 0.4830 0.0000 0.4854 21 28.993 50.000 0.0023 0.4830 0.0000 0.4854 Backscattering Coefficients of Individual Components at 525.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00117 0.00483 0.00000 0.00600 3 2.899 5.000 0.00117 0.00483 0.00000 0.00600 5 5.799 10.000 0.00117 0.00483 0.00000 0.00600 7 8.698 15.000 0.00117 0.00483 0.00000 0.00600 9 11.597 20.000 0.00117 0.00483 0.00000 0.00600 11 14.497 25.000 0.00117 0.00483 0.00000 0.00600 13 17.396 30.000 0.00117 0.00483 0.00000 0.00600 15 20.295 35.000 0.00117 0.00483 0.00000 0.00600 17 23.195 40.000 0.00117 0.00483 0.00000 0.00600 19 26.094 45.000 0.00117 0.00483 0.00000 0.00600 21 28.993 50.000 0.00117 0.00483 0.00000 0.00600 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 0.0945 0.4854 0.5799 0.8370 0.00600 0.01236 3 2.899 5.000 0.0945 0.4854 0.5799 0.8370 0.00600 0.01236 5 5.799 10.000 0.0945 0.4854 0.5799 0.8370 0.00600 0.01236 7 8.698 15.000 0.0945 0.4854 0.5799 0.8370 0.00600 0.01236 9 11.597 20.000 0.0945 0.4854 0.5799 0.8370 0.00600 0.01236 11 14.497 25.000 0.0945 0.4854 0.5799 0.8370 0.00600 0.01236 13 17.396 30.000 0.0945 0.4854 0.5799 0.8370 0.00600 0.01236 15 20.295 35.000 0.0945 0.4854 0.5799 0.8370 0.00600 0.01236 17 23.195 40.000 0.0945 0.4854 0.5799 0.8370 0.00600 0.01236 19 26.094 45.000 0.0945 0.4854 0.5799 0.8370 0.00600 0.01236 21 28.993 50.000 0.0945 0.4854 0.5799 0.8370 0.00600 0.01236 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3204E-01 8 20.00 7.7167E-01 7 30.00 5.7236E-01 6 40.00 3.8803E-01 5 50.00 2.4634E-01 4 60.00 1.5050E-01 3 70.00 9.1020E-02 2 80.00 5.6167E-02 1 87.50 3.9745E-02 1 92.50 3.1245E-02 2 100.00 2.3256E-02 3 110.00 1.6660E-02 4 120.00 1.2641E-02 5 130.00 1.0201E-02 6 140.00 8.7088E-03 7 150.00 7.7994E-03 8 160.00 7.2624E-03 9 170.00 6.9796E-03 10 180.00 6.8810E-03 Asymptotic AOP values are MUu(inf) = 0.3678 MUd(inf) = 0.7452 MU(inf) = 0.6832 R(inf) = 0.0291 Lu(inf)/Ed(inf) = 0.005763 (1/sr) k(inf) = 0.1383 (1/m) absorp(check) = 0.0945 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 525.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.6851E-01 2.0178E+00 2.1863E+00 6.2944E-02 1.4373E+00 0.3735 0.7123 0.6286 4.3792E-02 1 0.00 0.00 8.2517E-02 1.6127E+00 1.6952E+00 3.4233E-02 1.4086E+00 0.4149 0.8734 0.8107 2.4303E-02 3 2.90 5.00 5.2689E-02 9.4834E-01 1.0010E+00 2.0525E-02 7.6817E-01 0.3896 0.8100 0.7469 2.6720E-02 5 5.80 10.00 2.9642E-02 5.1673E-01 5.4637E-01 1.1267E-02 4.0386E-01 0.3801 0.7816 0.7186 2.7899E-02 7 8.70 15.00 1.5840E-02 2.7169E-01 2.8753E-01 5.9427E-03 2.0816E-01 0.3752 0.7662 0.7033 2.8549E-02 9 11.60 20.00 8.2339E-03 1.4003E-01 1.4826E-01 3.0661E-03 1.0606E-01 0.3724 0.7574 0.6946 2.8910E-02 11 14.50 25.00 4.2134E-03 7.1334E-02 7.5548E-02 1.5620E-03 5.3666E-02 0.3707 0.7523 0.6897 2.9106E-02 13 17.40 30.00 2.1364E-03 3.6091E-02 3.8227E-02 7.8990E-04 2.7045E-02 0.3697 0.7494 0.6868 2.9207E-02 15 20.30 35.00 1.0774E-03 1.8184E-02 1.9262E-02 3.9772E-04 1.3595E-02 0.3691 0.7476 0.6852 2.9254E-02 17 23.19 40.00 5.4176E-04 9.1409E-03 9.6827E-03 1.9977E-04 6.8247E-03 0.3687 0.7466 0.6842 2.9272E-02 19 26.09 45.00 2.7192E-04 4.5884E-03 4.8603E-03 1.0020E-04 3.4230E-03 0.3685 0.7460 0.6837 2.9273E-02 21 28.99 50.00 1.3634E-04 2.3012E-03 2.4375E-03 5.0219E-05 1.7159E-03 0.3683 0.7457 0.6833 2.9267E-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 0.06376 0.09227 0.09088 0.08502 0.11534 0.11609 0.11030 5.000 5.010 5.005 0.10696 0.11608 0.11560 0.11390 0.12575 0.12608 0.12386 10.000 10.010 10.005 0.12135 0.12573 0.12549 0.12480 0.13093 0.13111 0.13014 15.000 15.010 15.005 0.12863 0.13093 0.13080 0.13057 0.13391 0.13401 0.13366 20.000 20.010 20.005 0.13272 0.13394 0.13387 0.13385 0.13567 0.13573 0.13569 25.000 25.010 25.005 0.13508 0.13570 0.13567 0.13576 0.13672 0.13675 0.13687 30.000 30.010 30.005 0.13646 0.13675 0.13673 0.13687 0.13734 0.13736 0.13755 35.000 35.010 35.005 0.13725 0.13736 0.13736 0.13751 0.13771 0.13772 0.13794 40.000 40.010 40.005 0.13772 0.13773 0.13773 0.13788 0.13794 0.13794 0.13816 45.000 45.010 45.005 0.13799 0.13795 0.13795 0.13810 0.13807 0.13807 0.13828 50.000 50.010 50.005 0.13814 0.13808 0.13808 0.13822 0.13816 0.13815 0.13834 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 525.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.11508E-01 4.32526E-03 8.05409E-03 1.23793E-02 3.00919E-03 0.072229 9 1 10.0 0.0 180.0 6.88052E-02 4.41505E-03 2.44035E-03 6.85541E-03 3.07167E-03 0.035468 9 4 10.0 45.0 135.0 7.55983E-02 4.38938E-03 2.82629E-03 7.21567E-03 3.05381E-03 0.037386 9 7 10.0 90.0 90.0 1.02140E-01 4.36599E-03 5.83812E-03 1.02041E-02 3.03753E-03 0.057158 8 1 20.0 0.0 180.0 5.40455E-02 4.47718E-03 1.31810E-03 5.79528E-03 3.11489E-03 0.024389 8 4 20.0 45.0 135.0 6.01672E-02 4.42058E-03 1.55074E-03 5.97132E-03 3.07551E-03 0.025774 8 7 20.0 90.0 90.0 8.84730E-02 4.39445E-03 3.45894E-03 7.85339E-03 3.05733E-03 0.039096 7 1 30.0 0.0 180.0 4.68604E-02 4.56423E-03 1.12804E-03 5.69227E-03 3.17545E-03 0.024072 7 4 30.0 45.0 135.0 5.19522E-02 4.54114E-03 1.26695E-03 5.80809E-03 3.15939E-03 0.024387 7 7 30.0 90.0 90.0 7.57678E-02 4.48902E-03 2.17841E-03 6.66743E-03 3.12313E-03 0.028751 6 1 40.0 0.0 180.0 4.44793E-02 4.64036E-03 1.25424E-03 5.89460E-03 3.22842E-03 0.028198 6 4 40.0 45.0 135.0 4.86358E-02 4.60739E-03 1.36030E-03 5.96769E-03 3.20548E-03 0.027969 6 7 40.0 90.0 90.0 6.82839E-02 4.56557E-03 1.97030E-03 6.53587E-03 3.17639E-03 0.028855 5 1 50.0 0.0 180.0 4.66351E-02 4.73777E-03 1.98127E-03 6.71904E-03 3.29619E-03 0.042485 5 4 50.0 45.0 135.0 4.96960E-02 4.67894E-03 2.06412E-03 6.74307E-03 3.25526E-03 0.041535 5 7 50.0 90.0 90.0 6.60583E-02 4.65834E-03 2.66852E-03 7.32686E-03 3.24093E-03 0.040396 4 1 60.0 0.0 180.0 5.53566E-02 4.70689E-03 4.61544E-03 9.32234E-03 3.27471E-03 0.083377 4 4 60.0 45.0 135.0 5.66094E-02 4.64314E-03 4.55767E-03 9.20081E-03 3.23035E-03 0.080511 4 7 60.0 90.0 90.0 6.99052E-02 4.69757E-03 5.32232E-03 1.00199E-02 3.26822E-03 0.076136 3 1 70.0 0.0 180.0 7.68077E-02 4.40525E-03 1.27491E-02 1.71543E-02 3.06485E-03 0.165987 3 4 70.0 45.0 135.0 7.46458E-02 4.39560E-03 1.22670E-02 1.66626E-02 3.05813E-03 0.164336 3 7 70.0 90.0 90.0 8.34523E-02 4.47195E-03 1.33398E-02 1.78117E-02 3.11125E-03 0.159849 2 1 80.0 0.0 180.0 1.30497E-01 3.80257E-03 3.16904E-02 3.54930E-02 2.64555E-03 0.242843 2 4 80.0 45.0 135.0 1.20838E-01 3.78807E-03 3.06512E-02 3.44393E-02 2.63545E-03 0.253655 2 7 80.0 90.0 90.0 1.20054E-01 3.87459E-03 3.21002E-02 3.59748E-02 2.69565E-03 0.267382 1 1 87.5 0.0 180.0 2.10990E-01 3.08495E-03 5.58905E-02 5.89754E-02 2.14628E-03 0.264896 1 4 87.5 45.0 135.0 1.89971E-01 2.92846E-03 5.55454E-02 5.84739E-02 2.03740E-03 0.292389 1 7 87.5 90.0 90.0 1.72832E-01 3.33237E-03 5.68471E-02 6.01794E-02 2.31842E-03 0.328916 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 1.238E-02 1.115E-01 1.350E-01 1.165E-01 1.745E-01 8.613E-03 5.085E+00 4.325E-03 3.009E-03 1 0.00 0.00 8.023E-03 2.076E-01 1.646E-02 1.976E-02 2.865E-02 5.696E-03 4.267E+00 3 2.90 5.00 4.446E-03 3.298E-01 1.144E-02 1.535E-02 2.632E-02 5.787E-03 4.617E+00 5 5.80 10.00 2.352E-03 2.503E-01 6.890E-03 9.341E-03 1.563E-02 5.825E-03 4.790E+00 7 8.70 15.00 1.216E-03 1.519E-01 3.917E-03 5.246E-03 8.336E-03 5.840E-03 4.889E+00 9 11.60 20.00 6.197E-04 8.359E-02 2.160E-03 2.825E-03 4.224E-03 5.843E-03 4.948E+00 11 14.50 25.00 3.134E-04 4.388E-02 1.167E-03 1.483E-03 2.087E-03 5.840E-03 4.984E+00 13 17.40 30.00 1.578E-04 2.249E-02 6.216E-04 7.663E-04 1.019E-03 5.835E-03 5.006E+00 15 20.30 35.00 7.924E-05 1.139E-02 3.271E-04 3.916E-04 4.958E-04 5.829E-03 5.019E+00 17 23.19 40.00 3.973E-05 5.730E-03 1.706E-04 1.988E-04 2.412E-04 5.822E-03 5.028E+00 19 26.09 45.00 1.991E-05 2.876E-03 8.831E-05 1.005E-04 1.176E-04 5.816E-03 5.034E+00 21 28.99 50.00 9.969E-06 1.441E-03 4.544E-05 5.061E-05 5.754E-05 5.810E-03 5.037E+00 Waveband 13 of 30 completed in 5.5 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 86.8 m at 535.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 530.0 nm to 540.0 nm: Ed(diffuse) = 4.123E-01 Ed(direct) = 1.041E+00 Ed(total) = 1.453E+00 Absorption Coefficients of Individual Components at 535.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0452 0.0414 0.0050 0.0916 3 2.839 5.000 0.0452 0.0414 0.0050 0.0916 5 5.678 10.000 0.0452 0.0414 0.0050 0.0916 7 8.516 15.000 0.0452 0.0414 0.0050 0.0916 9 11.355 20.000 0.0452 0.0414 0.0050 0.0916 11 14.194 25.000 0.0452 0.0414 0.0050 0.0916 13 17.033 30.000 0.0452 0.0414 0.0050 0.0916 15 19.871 35.000 0.0452 0.0414 0.0050 0.0916 17 22.710 40.000 0.0452 0.0414 0.0050 0.0916 19 25.549 45.000 0.0452 0.0414 0.0050 0.0916 21 28.388 50.000 0.0452 0.0414 0.0050 0.0916 Scattering Coefficients of Individual Components at 535.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0022 0.4740 0.0000 0.4761 3 2.839 5.000 0.0022 0.4740 0.0000 0.4761 5 5.678 10.000 0.0022 0.4740 0.0000 0.4761 7 8.516 15.000 0.0022 0.4740 0.0000 0.4761 9 11.355 20.000 0.0022 0.4740 0.0000 0.4761 11 14.194 25.000 0.0022 0.4740 0.0000 0.4761 13 17.033 30.000 0.0022 0.4740 0.0000 0.4761 15 19.871 35.000 0.0022 0.4740 0.0000 0.4761 17 22.710 40.000 0.0022 0.4740 0.0000 0.4761 19 25.549 45.000 0.0022 0.4740 0.0000 0.4761 21 28.388 50.000 0.0022 0.4740 0.0000 0.4761 Backscattering Coefficients of Individual Components at 535.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00108 0.00474 0.00000 0.00582 3 2.839 5.000 0.00108 0.00474 0.00000 0.00582 5 5.678 10.000 0.00108 0.00474 0.00000 0.00582 7 8.516 15.000 0.00108 0.00474 0.00000 0.00582 9 11.355 20.000 0.00108 0.00474 0.00000 0.00582 11 14.194 25.000 0.00108 0.00474 0.00000 0.00582 13 17.033 30.000 0.00108 0.00474 0.00000 0.00582 15 19.871 35.000 0.00108 0.00474 0.00000 0.00582 17 22.710 40.000 0.00108 0.00474 0.00000 0.00582 19 25.549 45.000 0.00108 0.00474 0.00000 0.00582 21 28.388 50.000 0.00108 0.00474 0.00000 0.00582 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 0.0916 0.4761 0.5678 0.8387 0.00582 0.01222 3 2.839 5.000 0.0916 0.4761 0.5678 0.8387 0.00582 0.01222 5 5.678 10.000 0.0916 0.4761 0.5678 0.8387 0.00582 0.01222 7 8.516 15.000 0.0916 0.4761 0.5678 0.8387 0.00582 0.01222 9 11.355 20.000 0.0916 0.4761 0.5678 0.8387 0.00582 0.01222 11 14.194 25.000 0.0916 0.4761 0.5678 0.8387 0.00582 0.01222 13 17.033 30.000 0.0916 0.4761 0.5678 0.8387 0.00582 0.01222 15 19.871 35.000 0.0916 0.4761 0.5678 0.8387 0.00582 0.01222 17 22.710 40.000 0.0916 0.4761 0.5678 0.8387 0.00582 0.01222 19 25.549 45.000 0.0916 0.4761 0.5678 0.8387 0.00582 0.01222 21 28.388 50.000 0.0916 0.4761 0.5678 0.8387 0.00582 0.01222 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3252E-01 8 20.00 7.7309E-01 7 30.00 5.7457E-01 6 40.00 3.9047E-01 5 50.00 2.4851E-01 4 60.00 1.5217E-01 3 70.00 9.2194E-02 2 80.00 5.6955E-02 1 87.50 4.0315E-02 1 92.50 3.1688E-02 2 100.00 2.3575E-02 3 110.00 1.6871E-02 4 120.00 1.2782E-02 5 130.00 1.0299E-02 6 140.00 8.7788E-03 7 150.00 7.8517E-03 8 160.00 7.3040E-03 9 170.00 7.0154E-03 10 180.00 6.9148E-03 Asymptotic AOP values are MUu(inf) = 0.3671 MUd(inf) = 0.7443 MU(inf) = 0.6821 R(inf) = 0.0293 Lu(inf)/Ed(inf) = 0.005765 (1/sr) k(inf) = 0.1343 (1/m) absorp(check) = 0.0916 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 535.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.6909E-01 2.0355E+00 2.2046E+00 6.3447E-02 1.4533E+00 0.3752 0.7140 0.6304 4.3658E-02 1 0.00 0.00 8.3709E-02 1.6305E+00 1.7142E+00 3.4702E-02 1.4245E+00 0.4146 0.8737 0.8108 2.4361E-02 3 2.84 5.00 5.4440E-02 9.7658E-01 1.0310E+00 2.1199E-02 7.9175E-01 0.3894 0.8107 0.7474 2.6775E-02 5 5.68 10.00 3.1275E-02 5.4307E-01 5.7435E-01 1.1880E-02 4.2472E-01 0.3799 0.7821 0.7188 2.7972E-02 7 8.52 15.00 1.7073E-02 2.9156E-01 3.0863E-01 6.3992E-03 2.2343E-01 0.3748 0.7663 0.7032 2.8640E-02 9 11.36 20.00 9.0655E-03 1.5344E-01 1.6250E-01 3.3717E-03 1.1620E-01 0.3719 0.7573 0.6943 2.9018E-02 11 14.19 25.00 4.7372E-03 7.9799E-02 8.4536E-02 1.7538E-03 6.0007E-02 0.3702 0.7520 0.6891 2.9226E-02 13 17.03 30.00 2.4525E-03 4.1213E-02 4.3666E-02 9.0541E-04 3.0863E-02 0.3692 0.7489 0.6861 2.9336E-02 15 19.87 35.00 1.2627E-03 2.1196E-02 2.2459E-02 4.6535E-04 1.5833E-02 0.3685 0.7470 0.6843 2.9390E-02 17 22.71 40.00 6.4802E-04 1.0874E-02 1.1522E-02 2.3855E-04 8.1106E-03 0.3681 0.7459 0.6832 2.9412E-02 19 25.55 45.00 3.3193E-04 5.5697E-03 5.9017E-03 1.2210E-04 4.1507E-03 0.3679 0.7452 0.6826 2.9417E-02 21 28.39 50.00 1.6983E-04 2.8503E-03 3.0201E-03 6.2442E-05 2.1230E-03 0.3677 0.7448 0.6823 2.9412E-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 0.06105 0.08917 0.08780 0.08189 0.11178 0.11252 0.10677 5.000 5.010 5.005 0.10288 0.11211 0.11162 0.10986 0.12180 0.12212 0.11988 10.000 10.010 10.005 0.11710 0.12158 0.12134 0.12061 0.12686 0.12704 0.12604 15.000 15.010 15.005 0.12436 0.12675 0.12662 0.12635 0.12981 0.12991 0.12953 20.000 20.010 20.005 0.12850 0.12978 0.12971 0.12967 0.13158 0.13163 0.13157 25.000 25.010 25.005 0.13090 0.13157 0.13153 0.13161 0.13264 0.13267 0.13278 30.000 30.010 30.005 0.13231 0.13264 0.13262 0.13275 0.13328 0.13329 0.13348 35.000 35.010 35.005 0.13316 0.13329 0.13328 0.13343 0.13366 0.13367 0.13388 40.000 40.010 40.005 0.13364 0.13367 0.13367 0.13382 0.13390 0.13390 0.13412 45.000 45.010 45.005 0.13393 0.13391 0.13391 0.13405 0.13404 0.13404 0.13425 50.000 50.010 50.005 0.13410 0.13405 0.13405 0.13418 0.13413 0.13413 0.13432 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 535.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.11243E-01 4.37143E-03 8.13347E-03 1.25049E-02 3.00798E-03 0.073114 9 1 10.0 0.0 180.0 6.86415E-02 4.46040E-03 2.44778E-03 6.90818E-03 3.06920E-03 0.035660 9 4 10.0 45.0 135.0 7.54184E-02 4.43510E-03 2.83658E-03 7.27169E-03 3.05179E-03 0.037611 9 7 10.0 90.0 90.0 1.01897E-01 4.41307E-03 5.88520E-03 1.02983E-02 3.03663E-03 0.057757 8 1 20.0 0.0 180.0 5.39169E-02 4.52269E-03 1.31563E-03 5.83832E-03 3.11206E-03 0.024401 8 4 20.0 45.0 135.0 6.00240E-02 4.46655E-03 1.54878E-03 6.01533E-03 3.07343E-03 0.025803 8 7 20.0 90.0 90.0 8.82625E-02 4.44283E-03 3.47390E-03 7.91673E-03 3.05711E-03 0.039359 7 1 30.0 0.0 180.0 4.67489E-02 4.61051E-03 1.12535E-03 5.73586E-03 3.17249E-03 0.024072 7 4 30.0 45.0 135.0 5.18291E-02 4.58864E-03 1.26402E-03 5.85266E-03 3.15744E-03 0.024388 7 7 30.0 90.0 90.0 7.55844E-02 4.53977E-03 2.17779E-03 6.71756E-03 3.12382E-03 0.028813 6 1 40.0 0.0 180.0 4.43735E-02 4.68788E-03 1.25125E-03 5.93913E-03 3.22573E-03 0.028198 6 4 40.0 45.0 135.0 4.85201E-02 4.65654E-03 1.35706E-03 6.01360E-03 3.20416E-03 0.027969 6 7 40.0 90.0 90.0 6.81214E-02 4.61949E-03 1.96591E-03 6.58541E-03 3.17867E-03 0.028859 5 1 50.0 0.0 180.0 4.65242E-02 4.78709E-03 1.97656E-03 6.76365E-03 3.29400E-03 0.042485 5 4 50.0 45.0 135.0 4.95778E-02 4.73004E-03 2.05921E-03 6.78925E-03 3.25474E-03 0.041535 5 7 50.0 90.0 90.0 6.59011E-02 4.71564E-03 2.66217E-03 7.37781E-03 3.24483E-03 0.040396 4 1 60.0 0.0 180.0 5.52249E-02 4.75681E-03 4.60446E-03 9.36127E-03 3.27316E-03 0.083377 4 4 60.0 45.0 135.0 5.64747E-02 4.69511E-03 4.54682E-03 9.24194E-03 3.23071E-03 0.080511 4 7 60.0 90.0 90.0 6.97389E-02 4.75765E-03 5.30966E-03 1.00673E-02 3.27374E-03 0.076136 3 1 70.0 0.0 180.0 7.66250E-02 4.45302E-03 1.27188E-02 1.71718E-02 3.06412E-03 0.165987 3 4 70.0 45.0 135.0 7.44683E-02 4.44617E-03 1.22378E-02 1.66840E-02 3.05941E-03 0.164336 3 7 70.0 90.0 90.0 8.32537E-02 4.53145E-03 1.33080E-02 1.78395E-02 3.11809E-03 0.159849 2 1 80.0 0.0 180.0 1.30187E-01 3.84463E-03 3.16150E-02 3.54597E-02 2.64549E-03 0.242843 2 4 80.0 45.0 135.0 1.20551E-01 3.83272E-03 3.05783E-02 3.44110E-02 2.63730E-03 0.253655 2 7 80.0 90.0 90.0 1.19768E-01 3.92782E-03 3.20238E-02 3.59516E-02 2.70273E-03 0.267382 1 1 87.5 0.0 180.0 2.10488E-01 3.11969E-03 5.57575E-02 5.88772E-02 2.14666E-03 0.264896 1 4 87.5 45.0 135.0 1.89519E-01 2.96372E-03 5.54132E-02 5.83770E-02 2.03933E-03 0.292389 1 7 87.5 90.0 90.0 1.72420E-01 3.37941E-03 5.67118E-02 6.00912E-02 2.32537E-03 0.328916 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 1.250E-02 1.112E-01 1.347E-01 1.163E-01 1.741E-01 8.605E-03 5.074E+00 4.371E-03 3.008E-03 1 0.00 0.00 8.109E-03 2.071E-01 1.665E-02 2.004E-02 2.914E-02 5.692E-03 4.280E+00 3 2.84 5.00 4.580E-03 3.352E-01 1.176E-02 1.583E-02 2.722E-02 5.784E-03 4.629E+00 5 5.68 10.00 2.473E-03 2.603E-01 7.235E-03 9.840E-03 1.654E-02 5.822E-03 4.804E+00 7 8.52 15.00 1.304E-03 1.616E-01 4.200E-03 5.647E-03 9.029E-03 5.838E-03 4.906E+00 9 11.36 20.00 6.788E-04 9.098E-02 2.365E-03 3.108E-03 4.682E-03 5.842E-03 4.967E+00 11 14.19 25.00 3.504E-04 4.880E-02 1.305E-03 1.667E-03 2.365E-03 5.840E-03 5.005E+00 13 17.03 30.00 1.801E-04 2.555E-02 7.096E-04 8.797E-04 1.180E-03 5.835E-03 5.028E+00 15 19.87 35.00 9.228E-05 1.320E-02 3.814E-04 4.593E-04 5.862E-04 5.828E-03 5.043E+00 17 22.71 40.00 4.722E-05 6.783E-03 2.031E-04 2.380E-04 2.911E-04 5.822E-03 5.052E+00 19 25.55 45.00 2.414E-05 3.473E-03 1.074E-04 1.228E-04 1.448E-04 5.816E-03 5.058E+00 21 28.39 50.00 1.233E-05 1.776E-03 5.640E-05 6.314E-05 7.226E-05 5.810E-03 5.062E+00 Waveband 14 of 30 completed in 5.5 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 86.8 m at 545.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 540.0 nm to 550.0 nm: Ed(diffuse) = 4.017E-01 Ed(direct) = 1.032E+00 Ed(total) = 1.434E+00 Absorption Coefficients of Individual Components at 545.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0511 0.0358 0.0043 0.0912 3 2.792 5.000 0.0511 0.0358 0.0043 0.0912 5 5.585 10.000 0.0511 0.0358 0.0043 0.0912 7 8.377 15.000 0.0511 0.0358 0.0043 0.0912 9 11.170 20.000 0.0511 0.0358 0.0043 0.0912 11 13.962 25.000 0.0511 0.0358 0.0043 0.0912 13 16.755 30.000 0.0511 0.0358 0.0043 0.0912 15 19.547 35.000 0.0511 0.0358 0.0043 0.0912 17 22.340 40.000 0.0511 0.0358 0.0043 0.0912 19 25.132 45.000 0.0511 0.0358 0.0043 0.0912 21 27.925 50.000 0.0511 0.0358 0.0043 0.0912 Scattering Coefficients of Individual Components at 545.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0020 0.4653 0.0000 0.4673 3 2.792 5.000 0.0020 0.4653 0.0000 0.4673 5 5.585 10.000 0.0020 0.4653 0.0000 0.4673 7 8.377 15.000 0.0020 0.4653 0.0000 0.4673 9 11.170 20.000 0.0020 0.4653 0.0000 0.4673 11 13.962 25.000 0.0020 0.4653 0.0000 0.4673 13 16.755 30.000 0.0020 0.4653 0.0000 0.4673 15 19.547 35.000 0.0020 0.4653 0.0000 0.4673 17 22.340 40.000 0.0020 0.4653 0.0000 0.4673 19 25.132 45.000 0.0020 0.4653 0.0000 0.4673 21 27.925 50.000 0.0020 0.4653 0.0000 0.4673 Backscattering Coefficients of Individual Components at 545.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00100 0.00465 0.00000 0.00565 3 2.792 5.000 0.00100 0.00465 0.00000 0.00565 5 5.585 10.000 0.00100 0.00465 0.00000 0.00565 7 8.377 15.000 0.00100 0.00465 0.00000 0.00565 9 11.170 20.000 0.00100 0.00465 0.00000 0.00565 11 13.962 25.000 0.00100 0.00465 0.00000 0.00565 13 16.755 30.000 0.00100 0.00465 0.00000 0.00565 15 19.547 35.000 0.00100 0.00465 0.00000 0.00565 17 22.340 40.000 0.00100 0.00465 0.00000 0.00565 19 25.132 45.000 0.00100 0.00465 0.00000 0.00565 21 27.925 50.000 0.00100 0.00465 0.00000 0.00565 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 0.0912 0.4673 0.5585 0.8367 0.00565 0.01209 3 2.792 5.000 0.0912 0.4673 0.5585 0.8367 0.00565 0.01209 5 5.585 10.000 0.0912 0.4673 0.5585 0.8367 0.00565 0.01209 7 8.377 15.000 0.0912 0.4673 0.5585 0.8367 0.00565 0.01209 9 11.170 20.000 0.0912 0.4673 0.5585 0.8367 0.00565 0.01209 11 13.962 25.000 0.0912 0.4673 0.5585 0.8367 0.00565 0.01209 13 16.755 30.000 0.0912 0.4673 0.5585 0.8367 0.00565 0.01209 15 19.547 35.000 0.0912 0.4673 0.5585 0.8367 0.00565 0.01209 17 22.340 40.000 0.0912 0.4673 0.5585 0.8367 0.00565 0.01209 19 25.132 45.000 0.0912 0.4673 0.5585 0.8367 0.00565 0.01209 21 27.925 50.000 0.0912 0.4673 0.5585 0.8367 0.00565 0.01209 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3195E-01 8 20.00 7.7139E-01 7 30.00 5.7188E-01 6 40.00 3.8744E-01 5 50.00 2.4574E-01 4 60.00 1.4994E-01 3 70.00 9.0535E-02 2 80.00 5.5758E-02 1 87.50 3.9385E-02 1 92.50 3.0916E-02 2 100.00 2.2962E-02 3 110.00 1.6401E-02 4 120.00 1.2406E-02 5 130.00 9.9826E-03 6 140.00 8.5016E-03 7 150.00 7.5991E-03 8 160.00 7.0663E-03 9 170.00 6.7858E-03 10 180.00 6.6880E-03 Asymptotic AOP values are MUu(inf) = 0.3664 MUd(inf) = 0.7457 MU(inf) = 0.6846 R(inf) = 0.0286 Lu(inf)/Ed(inf) = 0.005608 (1/sr) k(inf) = 0.1332 (1/m) absorp(check) = 0.0912 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 545.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.6490E-01 2.0041E+00 2.1690E+00 6.2031E-02 1.4340E+00 0.3762 0.7155 0.6325 4.3258E-02 1 0.00 0.00 8.0680E-02 1.6070E+00 1.6877E+00 3.3390E-02 1.4053E+00 0.4139 0.8745 0.8129 2.3760E-02 3 2.79 5.00 5.2674E-02 9.6575E-01 1.0184E+00 2.0482E-02 7.8456E-01 0.3889 0.8124 0.7503 2.6106E-02 5 5.58 10.00 3.0423E-02 5.3970E-01 5.7012E-01 1.1540E-02 4.2305E-01 0.3793 0.7839 0.7218 2.7278E-02 7 8.38 15.00 1.6705E-02 2.9134E-01 3.0804E-01 6.2520E-03 2.2378E-01 0.3743 0.7681 0.7062 2.7939E-02 9 11.17 20.00 8.9227E-03 1.5419E-01 1.6311E-01 3.3135E-03 1.1702E-01 0.3714 0.7590 0.6971 2.8315E-02 11 13.96 25.00 4.6903E-03 8.0648E-02 8.5338E-02 1.7336E-03 6.0775E-02 0.3696 0.7536 0.6919 2.8524E-02 13 16.75 30.00 2.4423E-03 4.1886E-02 4.4329E-02 9.0008E-04 3.1431E-02 0.3685 0.7504 0.6887 2.8637E-02 15 19.55 35.00 1.2646E-03 2.1663E-02 2.2927E-02 4.6521E-04 1.6214E-02 0.3679 0.7485 0.6869 2.8692E-02 17 22.34 40.00 6.5262E-04 1.1175E-02 1.1827E-02 2.3981E-04 8.3511E-03 0.3675 0.7473 0.6858 2.8716E-02 19 25.13 45.00 3.3611E-04 5.7551E-03 6.0912E-03 1.2341E-04 4.2970E-03 0.3672 0.7466 0.6852 2.8721E-02 21 27.92 50.00 1.7291E-04 2.9613E-03 3.1342E-03 6.3458E-05 2.2098E-03 0.3670 0.7462 0.6848 2.8717E-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 0.06051 0.08871 0.08736 0.08128 0.11102 0.11174 0.10598 5.000 5.010 5.005 0.10190 0.11122 0.11074 0.10886 0.12081 0.12113 0.11885 10.000 10.010 10.005 0.11597 0.12053 0.12028 0.11948 0.12579 0.12596 0.12493 15.000 15.010 15.005 0.12318 0.12563 0.12550 0.12519 0.12871 0.12881 0.12840 20.000 20.010 20.005 0.12730 0.12864 0.12857 0.12850 0.13046 0.13052 0.13044 25.000 25.010 25.005 0.12973 0.13044 0.13040 0.13046 0.13153 0.13156 0.13165 30.000 30.010 30.005 0.13117 0.13152 0.13150 0.13162 0.13217 0.13219 0.13237 35.000 35.010 35.005 0.13203 0.13217 0.13217 0.13231 0.13257 0.13257 0.13279 40.000 40.010 40.005 0.13253 0.13257 0.13256 0.13272 0.13281 0.13281 0.13303 45.000 45.010 45.005 0.13284 0.13281 0.13281 0.13296 0.13295 0.13295 0.13316 50.000 50.010 50.005 0.13302 0.13296 0.13296 0.13310 0.13305 0.13305 0.13324 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 545.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.08392E-01 4.19520E-03 8.01634E-03 1.22115E-02 2.92560E-03 0.073957 9 1 10.0 0.0 180.0 6.68824E-02 4.28008E-03 2.39731E-03 6.67738E-03 2.98479E-03 0.035844 9 4 10.0 45.0 135.0 7.34857E-02 4.25596E-03 2.77967E-03 7.03562E-03 2.96797E-03 0.037826 9 7 10.0 90.0 90.0 9.92853E-02 4.23528E-03 5.79088E-03 1.00262E-02 2.95354E-03 0.058326 8 1 20.0 0.0 180.0 5.25352E-02 4.33970E-03 1.28254E-03 5.62224E-03 3.02637E-03 0.024413 8 4 20.0 45.0 135.0 5.84859E-02 4.28610E-03 1.51070E-03 5.79679E-03 2.98898E-03 0.025830 8 7 20.0 90.0 90.0 8.60007E-02 4.26414E-03 3.40636E-03 7.67050E-03 2.97367E-03 0.039609 7 1 30.0 0.0 180.0 4.55509E-02 4.42393E-03 1.09651E-03 5.52045E-03 3.08510E-03 0.024072 7 4 30.0 45.0 135.0 5.05014E-02 4.40330E-03 1.23170E-03 5.63501E-03 3.07072E-03 0.024390 7 7 30.0 90.0 90.0 7.36446E-02 4.35762E-03 2.12621E-03 6.48383E-03 3.03886E-03 0.028871 6 1 40.0 0.0 180.0 4.32364E-02 4.49828E-03 1.21919E-03 5.71747E-03 3.13695E-03 0.028198 6 4 40.0 45.0 135.0 4.72767E-02 4.46872E-03 1.32229E-03 5.79101E-03 3.11634E-03 0.027969 6 7 40.0 90.0 90.0 6.63757E-02 4.43503E-03 1.91581E-03 6.35084E-03 3.09284E-03 0.028863 5 1 50.0 0.0 180.0 4.53319E-02 4.59375E-03 1.92591E-03 6.51966E-03 3.20353E-03 0.042485 5 4 50.0 45.0 135.0 4.83073E-02 4.53970E-03 2.00644E-03 6.54614E-03 3.16584E-03 0.041535 5 7 50.0 90.0 90.0 6.42124E-02 4.52847E-03 2.59395E-03 7.12241E-03 3.15800E-03 0.040396 4 1 60.0 0.0 180.0 5.38097E-02 4.56505E-03 4.48647E-03 9.05151E-03 3.18351E-03 0.083377 4 4 60.0 45.0 135.0 5.50275E-02 4.50672E-03 4.43031E-03 8.93703E-03 3.14284E-03 0.080511 4 7 60.0 90.0 90.0 6.79517E-02 4.57008E-03 5.17359E-03 9.74367E-03 3.18702E-03 0.076136 3 1 70.0 0.0 180.0 7.46614E-02 4.27406E-03 1.23928E-02 1.66669E-02 2.98059E-03 0.165987 3 4 70.0 45.0 135.0 7.25599E-02 4.26856E-03 1.19242E-02 1.61928E-02 2.97675E-03 0.164336 3 7 70.0 90.0 90.0 8.11203E-02 4.35446E-03 1.29670E-02 1.73215E-02 3.03665E-03 0.159849 2 1 80.0 0.0 180.0 1.26851E-01 3.69065E-03 3.08049E-02 3.44955E-02 2.57374E-03 0.242843 2 4 80.0 45.0 135.0 1.17461E-01 3.68036E-03 2.97947E-02 3.34751E-02 2.56656E-03 0.253655 2 7 80.0 90.0 90.0 1.16699E-01 3.77582E-03 3.12031E-02 3.49790E-02 2.63313E-03 0.267382 1 1 87.5 0.0 180.0 2.05094E-01 2.99528E-03 5.43287E-02 5.73239E-02 2.08881E-03 0.264896 1 4 87.5 45.0 135.0 1.84662E-01 2.84656E-03 5.39932E-02 5.68398E-02 1.98510E-03 0.292389 1 7 87.5 90.0 90.0 1.68002E-01 3.24999E-03 5.52585E-02 5.85085E-02 2.26644E-03 0.328916 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 1.221E-02 1.084E-01 1.312E-01 1.133E-01 1.697E-01 8.516E-03 5.080E+00 4.195E-03 2.926E-03 1 0.00 0.00 7.782E-03 2.018E-01 1.602E-02 1.935E-02 2.826E-02 5.537E-03 4.291E+00 3 2.79 5.00 4.415E-03 3.283E-01 1.137E-02 1.535E-02 2.651E-02 5.628E-03 4.639E+00 5 5.58 10.00 2.397E-03 2.573E-01 7.026E-03 9.588E-03 1.620E-02 5.666E-03 4.814E+00 7 8.38 15.00 1.272E-03 1.613E-01 4.100E-03 5.534E-03 8.906E-03 5.682E-03 4.917E+00 9 11.17 20.00 6.655E-04 9.157E-02 2.321E-03 3.064E-03 4.649E-03 5.687E-03 4.979E+00 11 13.96 25.00 3.455E-04 4.951E-02 1.288E-03 1.654E-03 2.364E-03 5.685E-03 5.017E+00 13 16.75 30.00 1.785E-04 2.610E-02 7.046E-04 8.780E-04 1.187E-03 5.681E-03 5.041E+00 15 19.55 35.00 9.201E-05 1.358E-02 3.810E-04 4.611E-04 5.931E-04 5.675E-03 5.056E+00 17 22.34 40.00 4.734E-05 7.018E-03 2.041E-04 2.404E-04 2.961E-04 5.668E-03 5.066E+00 19 25.13 45.00 2.433E-05 3.615E-03 1.085E-04 1.247E-04 1.481E-04 5.662E-03 5.072E+00 21 27.92 50.00 1.250E-05 1.859E-03 5.735E-05 6.451E-05 7.426E-05 5.656E-03 5.077E+00 Waveband 15 of 30 completed in 5.4 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 86.8 m at 555.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 550.0 nm to 560.0 nm: Ed(diffuse) = 3.946E-01 Ed(direct) = 1.031E+00 Ed(total) = 1.425E+00 Absorption Coefficients of Individual Components at 555.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0596 0.0301 0.0038 0.0935 3 2.761 5.000 0.0596 0.0301 0.0038 0.0935 5 5.522 10.000 0.0596 0.0301 0.0038 0.0935 7 8.284 15.000 0.0596 0.0301 0.0038 0.0935 9 11.045 20.000 0.0596 0.0301 0.0038 0.0935 11 13.806 25.000 0.0596 0.0301 0.0038 0.0935 13 16.567 30.000 0.0596 0.0301 0.0038 0.0935 15 19.328 35.000 0.0596 0.0301 0.0038 0.0935 17 22.090 40.000 0.0596 0.0301 0.0038 0.0935 19 24.851 45.000 0.0596 0.0301 0.0038 0.0935 21 27.612 50.000 0.0596 0.0301 0.0038 0.0935 Scattering Coefficients of Individual Components at 555.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0018 0.4569 0.0000 0.4588 3 2.761 5.000 0.0018 0.4569 0.0000 0.4588 5 5.522 10.000 0.0018 0.4569 0.0000 0.4588 7 8.284 15.000 0.0018 0.4569 0.0000 0.4588 9 11.045 20.000 0.0018 0.4569 0.0000 0.4588 11 13.806 25.000 0.0018 0.4569 0.0000 0.4588 13 16.567 30.000 0.0018 0.4569 0.0000 0.4588 15 19.328 35.000 0.0018 0.4569 0.0000 0.4588 17 22.090 40.000 0.0018 0.4569 0.0000 0.4588 19 24.851 45.000 0.0018 0.4569 0.0000 0.4588 21 27.612 50.000 0.0018 0.4569 0.0000 0.4588 Backscattering Coefficients of Individual Components at 555.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00092 0.00457 0.00000 0.00549 3 2.761 5.000 0.00092 0.00457 0.00000 0.00549 5 5.522 10.000 0.00092 0.00457 0.00000 0.00549 7 8.284 15.000 0.00092 0.00457 0.00000 0.00549 9 11.045 20.000 0.00092 0.00457 0.00000 0.00549 11 13.806 25.000 0.00092 0.00457 0.00000 0.00549 13 16.567 30.000 0.00092 0.00457 0.00000 0.00549 15 19.328 35.000 0.00092 0.00457 0.00000 0.00549 17 22.090 40.000 0.00092 0.00457 0.00000 0.00549 19 24.851 45.000 0.00092 0.00457 0.00000 0.00549 21 27.612 50.000 0.00092 0.00457 0.00000 0.00549 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 0.0935 0.4588 0.5522 0.8307 0.00549 0.01197 3 2.761 5.000 0.0935 0.4588 0.5522 0.8307 0.00549 0.01197 5 5.522 10.000 0.0935 0.4588 0.5522 0.8307 0.00549 0.01197 7 8.284 15.000 0.0935 0.4588 0.5522 0.8307 0.00549 0.01197 9 11.045 20.000 0.0935 0.4588 0.5522 0.8307 0.00549 0.01197 11 13.806 25.000 0.0935 0.4588 0.5522 0.8307 0.00549 0.01197 13 16.567 30.000 0.0935 0.4588 0.5522 0.8307 0.00549 0.01197 15 19.328 35.000 0.0935 0.4588 0.5522 0.8307 0.00549 0.01197 17 22.090 40.000 0.0935 0.4588 0.5522 0.8307 0.00549 0.01197 19 24.851 45.000 0.0935 0.4588 0.5522 0.8307 0.00549 0.01197 21 27.612 50.000 0.0935 0.4588 0.5522 0.8307 0.00549 0.01197 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.3023E-01 8 20.00 7.6619E-01 7 30.00 5.6379E-01 6 40.00 3.7844E-01 5 50.00 2.3762E-01 4 60.00 1.4356E-01 3 70.00 8.5898E-02 2 80.00 5.2498E-02 1 87.50 3.6909E-02 1 92.50 2.8899E-02 2 100.00 2.1400E-02 3 110.00 1.5240E-02 4 120.00 1.1507E-02 5 130.00 9.2518E-03 6 140.00 7.8776E-03 7 150.00 7.0424E-03 8 160.00 6.5505E-03 9 170.00 6.2919E-03 10 180.00 6.2019E-03 Asymptotic AOP values are MUu(inf) = 0.3656 MUd(inf) = 0.7495 MU(inf) = 0.6911 R(inf) = 0.0270 Lu(inf)/Ed(inf) = 0.005291 (1/sr) k(inf) = 0.1353 (1/m) absorp(check) = 0.0935 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 555.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.6128E-01 1.9877E+00 2.1490E+00 6.0692E-02 1.4251E+00 0.3763 0.7169 0.6349 4.2588E-02 1 0.00 0.00 7.6041E-02 1.5934E+00 1.6694E+00 3.1381E-02 1.3958E+00 0.4127 0.8760 0.8173 2.2483E-02 3 2.76 5.00 4.9076E-02 9.4552E-01 9.9460E-01 1.9035E-02 7.7060E-01 0.3879 0.8150 0.7556 2.4701E-02 5 5.52 10.00 2.8030E-02 5.2230E-01 5.5033E-01 1.0609E-02 4.1107E-01 0.3785 0.7870 0.7277 2.5809E-02 7 8.28 15.00 1.5227E-02 2.7886E-01 2.9409E-01 5.6877E-03 2.1515E-01 0.3735 0.7715 0.7123 2.6436E-02 9 11.04 20.00 8.0493E-03 1.4602E-01 1.5407E-01 2.9835E-03 1.1135E-01 0.3706 0.7626 0.7033 2.6795E-02 11 13.81 25.00 4.1878E-03 7.5577E-02 7.9765E-02 1.5450E-03 5.7230E-02 0.3689 0.7572 0.6981 2.6996E-02 13 16.57 30.00 2.1583E-03 3.8847E-02 4.1005E-02 7.9397E-04 2.9293E-02 0.3679 0.7541 0.6950 2.7104E-02 15 19.33 35.00 1.1061E-03 1.9884E-02 2.0990E-02 4.0618E-04 1.4956E-02 0.3672 0.7522 0.6932 2.7158E-02 17 22.09 40.00 5.6495E-04 1.0151E-02 1.0716E-02 2.0722E-04 7.6242E-03 0.3668 0.7511 0.6921 2.7180E-02 19 24.85 45.00 2.8800E-04 5.1747E-03 5.4627E-03 1.0556E-04 3.8831E-03 0.3665 0.7504 0.6915 2.7184E-02 21 27.61 50.00 1.4664E-04 2.6354E-03 2.7821E-03 5.3722E-05 1.9766E-03 0.3663 0.7500 0.6912 2.7179E-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 0.06175 0.09108 0.08974 0.08332 0.11328 0.11396 0.10809 5.000 5.010 5.005 0.10421 0.11363 0.11317 0.11108 0.12300 0.12330 0.12093 10.000 10.010 10.005 0.11814 0.12277 0.12254 0.12161 0.12792 0.12808 0.12697 15.000 15.010 15.005 0.12528 0.12779 0.12766 0.12727 0.13080 0.13090 0.13043 20.000 20.010 20.005 0.12938 0.13075 0.13068 0.13056 0.13254 0.13260 0.13247 25.000 25.010 25.005 0.13179 0.13253 0.13249 0.13251 0.13360 0.13363 0.13369 30.000 30.010 30.005 0.13323 0.13360 0.13358 0.13368 0.13424 0.13425 0.13441 35.000 35.010 35.005 0.13408 0.13424 0.13423 0.13437 0.13462 0.13463 0.13483 40.000 40.010 40.005 0.13459 0.13463 0.13463 0.13478 0.13486 0.13486 0.13508 45.000 45.010 45.005 0.13489 0.13487 0.13487 0.13501 0.13501 0.13501 0.13522 50.000 50.010 50.005 0.13507 0.13501 0.13501 0.13515 0.13510 0.13510 0.13530 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 555.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.06473E-01 3.93430E-03 7.95844E-03 1.18927E-02 2.76076E-03 0.074746 9 1 10.0 0.0 180.0 6.56983E-02 4.01464E-03 2.36614E-03 6.38078E-03 2.81714E-03 0.036015 9 4 10.0 45.0 135.0 7.21847E-02 3.99171E-03 2.74497E-03 6.73667E-03 2.80105E-03 0.038027 9 7 10.0 90.0 90.0 9.75275E-02 3.97164E-03 5.74034E-03 9.71198E-03 2.78696E-03 0.058859 8 1 20.0 0.0 180.0 5.16051E-02 4.07075E-03 1.26040E-03 5.33115E-03 2.85651E-03 0.024424 8 4 20.0 45.0 135.0 5.74504E-02 4.01994E-03 1.48543E-03 5.50536E-03 2.82086E-03 0.025856 8 7 20.0 90.0 90.0 8.44780E-02 3.99830E-03 3.36583E-03 7.36412E-03 2.80567E-03 0.039843 7 1 30.0 0.0 180.0 4.47444E-02 4.14977E-03 1.07710E-03 5.22687E-03 2.91196E-03 0.024072 7 4 30.0 45.0 135.0 4.96077E-02 4.12968E-03 1.20997E-03 5.33965E-03 2.89787E-03 0.024391 7 7 30.0 90.0 90.0 7.23380E-02 4.08549E-03 2.09245E-03 6.17794E-03 2.86685E-03 0.028926 6 1 40.0 0.0 180.0 4.24709E-02 4.21923E-03 1.19760E-03 5.41684E-03 2.96070E-03 0.028198 6 4 40.0 45.0 135.0 4.64396E-02 4.19057E-03 1.29888E-03 5.48945E-03 2.94059E-03 0.027969 6 7 40.0 90.0 90.0 6.52005E-02 4.15749E-03 1.88214E-03 6.03964E-03 2.91738E-03 0.028867 5 1 50.0 0.0 180.0 4.45293E-02 4.30848E-03 1.89181E-03 6.20028E-03 3.02333E-03 0.042485 5 4 50.0 45.0 135.0 4.74520E-02 4.25680E-03 1.97092E-03 6.22771E-03 2.98706E-03 0.041535 5 7 50.0 90.0 90.0 6.30755E-02 4.24502E-03 2.54802E-03 6.79304E-03 2.97880E-03 0.040396 4 1 60.0 0.0 180.0 5.28570E-02 4.28131E-03 4.40703E-03 8.68834E-03 3.00426E-03 0.083377 4 4 60.0 45.0 135.0 5.40532E-02 4.22565E-03 4.35187E-03 8.57752E-03 2.96521E-03 0.080511 4 7 60.0 90.0 90.0 6.67486E-02 4.28423E-03 5.08199E-03 9.36623E-03 3.00632E-03 0.076136 3 1 70.0 0.0 180.0 7.33395E-02 4.00841E-03 1.21734E-02 1.61818E-02 2.81277E-03 0.165987 3 4 70.0 45.0 135.0 7.12752E-02 4.00250E-03 1.17131E-02 1.57156E-02 2.80862E-03 0.164336 3 7 70.0 90.0 90.0 7.96840E-02 4.08306E-03 1.27374E-02 1.68205E-02 2.86515E-03 0.159849 2 1 80.0 0.0 180.0 1.24605E-01 3.46145E-03 3.02595E-02 3.37209E-02 2.42895E-03 0.242843 2 4 80.0 45.0 135.0 1.15382E-01 3.45131E-03 2.92672E-02 3.27185E-02 2.42184E-03 0.253655 2 7 80.0 90.0 90.0 1.14633E-01 3.54158E-03 3.06507E-02 3.41923E-02 2.48518E-03 0.267382 1 1 87.5 0.0 180.0 2.01463E-01 2.80968E-03 5.33668E-02 5.61764E-02 1.97160E-03 0.264896 1 4 87.5 45.0 135.0 1.81393E-01 2.66998E-03 5.30373E-02 5.57072E-02 1.87357E-03 0.292389 1 7 87.5 90.0 90.0 1.65027E-01 3.04980E-03 5.42802E-02 5.73300E-02 2.14009E-03 0.328916 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 1.189E-02 1.065E-01 1.288E-01 1.112E-01 1.666E-01 8.345E-03 5.103E+00 3.934E-03 2.761E-03 1 0.00 0.00 7.298E-03 1.982E-01 1.510E-02 1.830E-02 2.689E-02 5.229E-03 4.300E+00 3 2.76 5.00 4.097E-03 3.194E-01 1.062E-02 1.439E-02 2.500E-02 5.317E-03 4.646E+00 5 5.52 10.00 2.202E-03 2.490E-01 6.482E-03 8.880E-03 1.510E-02 5.356E-03 4.819E+00 7 8.28 15.00 1.156E-03 1.553E-01 3.740E-03 5.068E-03 8.210E-03 5.373E-03 4.920E+00 9 11.04 20.00 5.989E-04 8.762E-02 2.095E-03 2.776E-03 4.242E-03 5.379E-03 4.981E+00 11 13.81 25.00 3.078E-04 4.704E-02 1.150E-03 1.483E-03 2.135E-03 5.379E-03 5.019E+00 13 16.57 30.00 1.575E-04 2.461E-02 6.226E-04 7.793E-04 1.061E-03 5.375E-03 5.043E+00 15 19.33 35.00 8.031E-05 1.269E-02 3.332E-04 4.051E-04 5.247E-04 5.370E-03 5.057E+00 17 22.09 40.00 4.090E-05 6.501E-03 1.767E-04 2.091E-04 2.592E-04 5.364E-03 5.067E+00 19 24.85 45.00 2.081E-05 3.317E-03 9.305E-05 1.074E-04 1.283E-04 5.358E-03 5.073E+00 21 27.61 50.00 1.058E-05 1.689E-03 4.869E-05 5.498E-05 6.364E-05 5.353E-03 5.078E+00 Waveband 16 of 30 completed in 5.4 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 86.8 m at 565.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 560.0 nm to 570.0 nm: Ed(diffuse) = 3.870E-01 Ed(direct) = 1.026E+00 Ed(total) = 1.413E+00 Absorption Coefficients of Individual Components at 565.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0642 0.0254 0.0033 0.0929 3 2.717 5.000 0.0642 0.0254 0.0033 0.0929 5 5.434 10.000 0.0642 0.0254 0.0033 0.0929 7 8.151 15.000 0.0642 0.0254 0.0033 0.0929 9 10.868 20.000 0.0642 0.0254 0.0033 0.0929 11 13.585 25.000 0.0642 0.0254 0.0033 0.0929 13 16.303 30.000 0.0642 0.0254 0.0033 0.0929 15 19.020 35.000 0.0642 0.0254 0.0033 0.0929 17 21.737 40.000 0.0642 0.0254 0.0033 0.0929 19 24.454 45.000 0.0642 0.0254 0.0033 0.0929 21 27.171 50.000 0.0642 0.0254 0.0033 0.0929 Scattering Coefficients of Individual Components at 565.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0017 0.4488 0.0000 0.4505 3 2.717 5.000 0.0017 0.4488 0.0000 0.4505 5 5.434 10.000 0.0017 0.4488 0.0000 0.4505 7 8.151 15.000 0.0017 0.4488 0.0000 0.4505 9 10.868 20.000 0.0017 0.4488 0.0000 0.4505 11 13.585 25.000 0.0017 0.4488 0.0000 0.4505 13 16.303 30.000 0.0017 0.4488 0.0000 0.4505 15 19.020 35.000 0.0017 0.4488 0.0000 0.4505 17 21.737 40.000 0.0017 0.4488 0.0000 0.4505 19 24.454 45.000 0.0017 0.4488 0.0000 0.4505 21 27.171 50.000 0.0017 0.4488 0.0000 0.4505 Backscattering Coefficients of Individual Components at 565.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00085 0.00449 0.00000 0.00534 3 2.717 5.000 0.00085 0.00449 0.00000 0.00534 5 5.434 10.000 0.00085 0.00449 0.00000 0.00534 7 8.151 15.000 0.00085 0.00449 0.00000 0.00534 9 10.868 20.000 0.00085 0.00449 0.00000 0.00534 11 13.585 25.000 0.00085 0.00449 0.00000 0.00534 13 16.303 30.000 0.00085 0.00449 0.00000 0.00534 15 19.020 35.000 0.00085 0.00449 0.00000 0.00534 17 21.737 40.000 0.00085 0.00449 0.00000 0.00534 19 24.454 45.000 0.00085 0.00449 0.00000 0.00534 21 27.171 50.000 0.00085 0.00449 0.00000 0.00534 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 0.0929 0.4505 0.5434 0.8291 0.00534 0.01185 3 2.717 5.000 0.0929 0.4505 0.5434 0.8291 0.00534 0.01185 5 5.434 10.000 0.0929 0.4505 0.5434 0.8291 0.00534 0.01185 7 8.151 15.000 0.0929 0.4505 0.5434 0.8291 0.00534 0.01185 9 10.868 20.000 0.0929 0.4505 0.5434 0.8291 0.00534 0.01185 11 13.585 25.000 0.0929 0.4505 0.5434 0.8291 0.00534 0.01185 13 16.303 30.000 0.0929 0.4505 0.5434 0.8291 0.00534 0.01185 15 19.020 35.000 0.0929 0.4505 0.5434 0.8291 0.00534 0.01185 17 21.737 40.000 0.0929 0.4505 0.5434 0.8291 0.00534 0.01185 19 24.454 45.000 0.0929 0.4505 0.5434 0.8291 0.00534 0.01185 21 27.171 50.000 0.0929 0.4505 0.5434 0.8291 0.00534 0.01185 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.2976E-01 8 20.00 7.6477E-01 7 30.00 5.6158E-01 6 40.00 3.7598E-01 5 50.00 2.3541E-01 4 60.00 1.4180E-01 3 70.00 8.4612E-02 2 80.00 5.1581E-02 1 87.50 3.6202E-02 1 92.50 2.8315E-02 2 100.00 2.0938E-02 3 110.00 1.4886E-02 4 120.00 1.1225E-02 5 130.00 9.0144E-03 6 140.00 7.6691E-03 7 150.00 6.8522E-03 8 160.00 6.3713E-03 9 170.00 6.1187E-03 10 180.00 6.0308E-03 Asymptotic AOP values are MUu(inf) = 0.3650 MUd(inf) = 0.7507 MU(inf) = 0.6931 R(inf) = 0.0264 Lu(inf)/Ed(inf) = 0.005170 (1/sr) k(inf) = 0.1340 (1/m) absorp(check) = 0.0929 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 565.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.5834E-01 1.9675E+00 2.1259E+00 5.9725E-02 1.4132E+00 0.3772 0.7183 0.6367 4.2262E-02 1 0.00 0.00 7.3900E-02 1.5787E+00 1.6526E+00 3.0451E-02 1.3839E+00 0.4121 0.8767 0.8190 2.2003E-02 3 2.72 5.00 4.7929E-02 9.4089E-01 9.8882E-01 1.8568E-02 7.6817E-01 0.3874 0.8164 0.7581 2.4172E-02 5 5.43 10.00 2.7552E-02 5.2280E-01 5.5035E-01 1.0416E-02 4.1227E-01 0.3781 0.7886 0.7302 2.5266E-02 7 8.15 15.00 1.5071E-02 2.8091E-01 2.9598E-01 5.6227E-03 2.1716E-01 0.3731 0.7731 0.7147 2.5891E-02 9 10.87 20.00 8.0222E-03 1.4806E-01 1.5608E-01 2.9697E-03 1.1311E-01 0.3702 0.7640 0.7057 2.6254E-02 11 13.59 25.00 4.2025E-03 7.7139E-02 8.1341E-02 1.5484E-03 5.8516E-02 0.3684 0.7586 0.7004 2.6461E-02 13 16.30 30.00 2.1806E-03 3.9910E-02 4.2090E-02 8.0112E-04 3.0146E-02 0.3674 0.7554 0.6972 2.6575E-02 15 19.02 35.00 1.1250E-03 2.0560E-02 2.1685E-02 4.1254E-04 1.5490E-02 0.3667 0.7534 0.6953 2.6633E-02 17 21.74 40.00 5.7842E-04 1.0565E-02 1.1143E-02 2.1186E-04 7.9472E-03 0.3663 0.7522 0.6942 2.6659E-02 19 24.45 45.00 2.9679E-04 5.4202E-03 5.7170E-03 1.0862E-04 4.0735E-03 0.3660 0.7515 0.6935 2.6666E-02 21 27.17 50.00 1.5209E-04 2.7782E-03 2.9303E-03 5.5638E-05 2.0867E-03 0.3658 0.7511 0.6931 2.6663E-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 0.06088 0.09044 0.08912 0.08249 0.11234 0.11301 0.10706 5.000 5.010 5.005 0.10301 0.11255 0.11209 0.10986 0.12183 0.12213 0.11966 10.000 10.010 10.005 0.11680 0.12153 0.12130 0.12026 0.12666 0.12683 0.12563 15.000 15.010 15.005 0.12390 0.12649 0.12636 0.12589 0.12952 0.12961 0.12906 20.000 20.010 20.005 0.12799 0.12944 0.12936 0.12918 0.13125 0.13130 0.13112 25.000 25.010 25.005 0.13042 0.13122 0.13117 0.13116 0.13230 0.13234 0.13235 30.000 30.010 30.005 0.13188 0.13229 0.13227 0.13234 0.13295 0.13297 0.13309 35.000 35.010 35.005 0.13276 0.13295 0.13294 0.13305 0.13334 0.13335 0.13353 40.000 40.010 40.005 0.13329 0.13335 0.13334 0.13347 0.13358 0.13359 0.13379 45.000 45.010 45.005 0.13360 0.13359 0.13359 0.13373 0.13373 0.13373 0.13394 50.000 50.010 50.005 0.13379 0.13374 0.13374 0.13387 0.13383 0.13382 0.13402 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 565.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.04429E-01 3.80864E-03 7.88459E-03 1.16932E-02 2.69501E-03 0.075502 9 1 10.0 0.0 180.0 6.44370E-02 3.88596E-03 2.33131E-03 6.21727E-03 2.74972E-03 0.036180 9 4 10.0 45.0 135.0 7.07988E-02 3.86390E-03 2.70590E-03 6.56981E-03 2.73412E-03 0.038220 9 7 10.0 90.0 90.0 9.56551E-02 3.84489E-03 5.67898E-03 9.52387E-03 2.72066E-03 0.059369 8 1 20.0 0.0 180.0 5.06144E-02 3.94014E-03 1.23674E-03 5.17688E-03 2.78806E-03 0.024435 8 4 20.0 45.0 135.0 5.63474E-02 3.89118E-03 1.45830E-03 5.34948E-03 2.75342E-03 0.025880 8 7 20.0 90.0 90.0 8.28562E-02 3.87095E-03 3.31978E-03 7.19073E-03 2.73910E-03 0.040067 7 1 30.0 0.0 180.0 4.38854E-02 4.01657E-03 1.05642E-03 5.07299E-03 2.84215E-03 0.024072 7 4 30.0 45.0 135.0 4.86557E-02 3.99745E-03 1.18680E-03 5.18425E-03 2.82861E-03 0.024392 7 7 30.0 90.0 90.0 7.09468E-02 3.95573E-03 2.05593E-03 6.01166E-03 2.79909E-03 0.028978 6 1 40.0 0.0 180.0 4.16555E-02 4.08388E-03 1.17461E-03 5.25849E-03 2.88977E-03 0.028198 6 4 40.0 45.0 135.0 4.55481E-02 4.05659E-03 1.27394E-03 5.33053E-03 2.87046E-03 0.027969 6 7 40.0 90.0 90.0 6.39488E-02 4.02619E-03 1.84625E-03 5.87244E-03 2.84895E-03 0.028871 5 1 50.0 0.0 180.0 4.36744E-02 4.17046E-03 1.85549E-03 6.02594E-03 2.95103E-03 0.042485 5 4 50.0 45.0 135.0 4.65410E-02 4.12104E-03 1.93308E-03 6.05412E-03 2.91607E-03 0.041535 5 7 50.0 90.0 90.0 6.18645E-02 4.11189E-03 2.49910E-03 6.61100E-03 2.90959E-03 0.040396 4 1 60.0 0.0 180.0 5.18422E-02 4.14442E-03 4.32243E-03 8.46685E-03 2.93261E-03 0.083377 4 4 60.0 45.0 135.0 5.30155E-02 4.09132E-03 4.26832E-03 8.35964E-03 2.89504E-03 0.080511 4 7 60.0 90.0 90.0 6.54672E-02 4.15094E-03 4.98443E-03 9.13537E-03 2.93722E-03 0.076136 3 1 70.0 0.0 180.0 7.19315E-02 3.88067E-03 1.19397E-02 1.58204E-02 2.74598E-03 0.165987 3 4 70.0 45.0 135.0 6.99069E-02 3.87589E-03 1.14882E-02 1.53641E-02 2.74260E-03 0.164336 3 7 70.0 90.0 90.0 7.81542E-02 3.95739E-03 1.24929E-02 1.64503E-02 2.80027E-03 0.159849 2 1 80.0 0.0 180.0 1.22213E-01 3.35155E-03 2.96785E-02 3.30301E-02 2.37157E-03 0.242843 2 4 80.0 45.0 135.0 1.13166E-01 3.34272E-03 2.87053E-02 3.20480E-02 2.36533E-03 0.253655 2 7 80.0 90.0 90.0 1.12432E-01 3.43373E-03 3.00622E-02 3.34960E-02 2.42972E-03 0.267382 1 1 87.5 0.0 180.0 1.97595E-01 2.72088E-03 5.23422E-02 5.50631E-02 1.92531E-03 0.264896 1 4 87.5 45.0 135.0 1.77910E-01 2.58650E-03 5.20190E-02 5.46055E-02 1.83022E-03 0.292389 1 7 87.5 90.0 90.0 1.61859E-01 2.95804E-03 5.32381E-02 5.61961E-02 2.09312E-03 0.328916 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 1.169E-02 1.044E-01 1.263E-01 1.090E-01 1.634E-01 8.274E-03 5.108E+00 3.809E-03 2.695E-03 1 0.00 0.00 7.065E-03 1.944E-01 1.466E-02 1.781E-02 2.627E-02 5.105E-03 4.310E+00 3 2.72 5.00 3.990E-03 3.148E-01 1.036E-02 1.408E-02 2.454E-02 5.194E-03 4.654E+00 5 5.43 10.00 2.158E-03 2.478E-01 6.360E-03 8.739E-03 1.493E-02 5.234E-03 4.827E+00 7 8.15 15.00 1.141E-03 1.560E-01 3.692E-03 5.021E-03 8.180E-03 5.253E-03 4.928E+00 9 10.87 20.00 5.951E-04 8.886E-02 2.081E-03 2.769E-03 4.260E-03 5.261E-03 4.990E+00 11 13.59 25.00 3.079E-04 4.812E-02 1.150E-03 1.490E-03 2.161E-03 5.262E-03 5.029E+00 13 16.30 30.00 1.585E-04 2.537E-02 6.269E-04 7.884E-04 1.082E-03 5.259E-03 5.053E+00 15 19.02 35.00 8.140E-05 1.319E-02 3.378E-04 4.127E-04 5.384E-04 5.255E-03 5.068E+00 17 21.74 40.00 4.172E-05 6.802E-03 1.804E-04 2.145E-04 2.678E-04 5.250E-03 5.078E+00 19 24.45 45.00 2.136E-05 3.494E-03 9.565E-05 1.109E-04 1.333E-04 5.245E-03 5.084E+00 21 27.17 50.00 1.093E-05 1.791E-03 5.040E-05 5.716E-05 6.655E-05 5.239E-03 5.089E+00 Waveband 17 of 30 completed in 5.4 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 86.6 m at 575.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 570.0 nm to 580.0 nm: Ed(diffuse) = 3.835E-01 Ed(direct) = 1.031E+00 Ed(total) = 1.415E+00 Absorption Coefficients of Individual Components at 575.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0772 0.0245 0.0028 0.1045 3 2.736 5.000 0.0772 0.0245 0.0028 0.1045 5 5.471 10.000 0.0772 0.0245 0.0028 0.1045 7 8.207 15.000 0.0772 0.0245 0.0028 0.1045 9 10.942 20.000 0.0772 0.0245 0.0028 0.1045 11 13.678 25.000 0.0772 0.0245 0.0028 0.1045 13 16.414 30.000 0.0772 0.0245 0.0028 0.1045 15 19.149 35.000 0.0772 0.0245 0.0028 0.1045 17 21.885 40.000 0.0772 0.0245 0.0028 0.1045 19 24.620 45.000 0.0772 0.0245 0.0028 0.1045 21 27.356 50.000 0.0772 0.0245 0.0028 0.1045 Scattering Coefficients of Individual Components at 575.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0016 0.4410 0.0000 0.4426 3 2.736 5.000 0.0016 0.4410 0.0000 0.4426 5 5.471 10.000 0.0016 0.4410 0.0000 0.4426 7 8.207 15.000 0.0016 0.4410 0.0000 0.4426 9 10.942 20.000 0.0016 0.4410 0.0000 0.4426 11 13.678 25.000 0.0016 0.4410 0.0000 0.4426 13 16.414 30.000 0.0016 0.4410 0.0000 0.4426 15 19.149 35.000 0.0016 0.4410 0.0000 0.4426 17 21.885 40.000 0.0016 0.4410 0.0000 0.4426 19 24.620 45.000 0.0016 0.4410 0.0000 0.4426 21 27.356 50.000 0.0016 0.4410 0.0000 0.4426 Backscattering Coefficients of Individual Components at 575.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00079 0.00441 0.00000 0.00520 3 2.736 5.000 0.00079 0.00441 0.00000 0.00520 5 5.471 10.000 0.00079 0.00441 0.00000 0.00520 7 8.207 15.000 0.00079 0.00441 0.00000 0.00520 9 10.942 20.000 0.00079 0.00441 0.00000 0.00520 11 13.678 25.000 0.00079 0.00441 0.00000 0.00520 13 16.414 30.000 0.00079 0.00441 0.00000 0.00520 15 19.149 35.000 0.00079 0.00441 0.00000 0.00520 17 21.885 40.000 0.00079 0.00441 0.00000 0.00520 19 24.620 45.000 0.00079 0.00441 0.00000 0.00520 21 27.356 50.000 0.00079 0.00441 0.00000 0.00520 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 0.1045 0.4426 0.5471 0.8090 0.00520 0.01175 3 2.736 5.000 0.1045 0.4426 0.5471 0.8090 0.00520 0.01175 5 5.471 10.000 0.1045 0.4426 0.5471 0.8090 0.00520 0.01175 7 8.207 15.000 0.1045 0.4426 0.5471 0.8090 0.00520 0.01175 9 10.942 20.000 0.1045 0.4426 0.5471 0.8090 0.00520 0.01175 11 13.678 25.000 0.1045 0.4426 0.5471 0.8090 0.00520 0.01175 13 16.414 30.000 0.1045 0.4426 0.5471 0.8090 0.00520 0.01175 15 19.149 35.000 0.1045 0.4426 0.5471 0.8090 0.00520 0.01175 17 21.885 40.000 0.1045 0.4426 0.5471 0.8090 0.00520 0.01175 19 24.620 45.000 0.1045 0.4426 0.5471 0.8090 0.00520 0.01175 21 27.356 50.000 0.1045 0.4426 0.5471 0.8090 0.00520 0.01175 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.2398E-01 8 20.00 7.4760E-01 7 30.00 5.3543E-01 6 40.00 3.4772E-01 5 50.00 2.1074E-01 4 60.00 1.2302E-01 3 70.00 7.1412E-02 2 80.00 4.2581E-02 1 87.50 2.9511E-02 1 92.50 2.2943E-02 2 100.00 1.6854E-02 3 110.00 1.1917E-02 4 120.00 8.9697E-03 5 130.00 7.2096E-03 6 140.00 6.1479E-03 7 150.00 5.5085E-03 8 160.00 5.1347E-03 9 170.00 4.9394E-03 10 180.00 4.8716E-03 Asymptotic AOP values are MUu(inf) = 0.3642 MUd(inf) = 0.7626 MU(inf) = 0.7121 R(inf) = 0.0224 Lu(inf)/Ed(inf) = 0.004416 (1/sr) k(inf) = 0.1468 (1/m) absorp(check) = 0.1045 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 575.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.5399E-01 1.9664E+00 2.1204E+00 5.7797E-02 1.4148E+00 0.3753 0.7195 0.6400 4.0850E-02 1 0.00 0.00 6.3789E-02 1.5719E+00 1.6357E+00 2.6122E-02 1.3832E+00 0.4095 0.8799 0.8296 1.8886E-02 3 2.74 5.00 3.8754E-02 8.7525E-01 9.1400E-01 1.4928E-02 7.1949E-01 0.3852 0.8220 0.7709 2.0748E-02 5 5.47 10.00 2.0813E-02 4.5423E-01 4.7504E-01 7.8364E-03 3.6161E-01 0.3765 0.7961 0.7447 2.1671E-02 7 8.21 15.00 1.0647E-02 2.2817E-01 2.3882E-01 3.9605E-03 1.7839E-01 0.3720 0.7818 0.7304 2.2201E-02 9 10.94 20.00 5.3047E-03 1.1252E-01 1.1783E-01 1.9597E-03 8.7046E-02 0.3694 0.7736 0.7221 2.2513E-02 11 13.68 25.00 2.6031E-03 5.4889E-02 5.7492E-02 9.5776E-04 4.2198E-02 0.3679 0.7688 0.7173 2.2697E-02 13 16.41 30.00 1.2660E-03 2.6604E-02 2.7870E-02 4.6469E-04 2.0377E-02 0.3671 0.7660 0.7145 2.2805E-02 15 19.15 35.00 6.1248E-04 1.2845E-02 1.3458E-02 2.2450E-04 9.8176E-03 0.3665 0.7643 0.7128 2.2867E-02 17 21.88 40.00 2.9540E-04 6.1882E-03 6.4836E-03 1.0819E-04 4.7237E-03 0.3662 0.7633 0.7119 2.2903E-02 19 24.62 45.00 1.4221E-04 2.9772E-03 3.1194E-03 5.2059E-05 2.2710E-03 0.3661 0.7628 0.7113 2.2924E-02 21 27.36 50.00 6.8388E-05 1.4312E-03 1.4995E-03 2.5027E-05 1.0912E-03 0.3660 0.7625 0.7110 2.2936E-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 0.07000 0.10282 0.10154 0.09396 0.12502 0.12562 0.11925 5.000 5.010 5.005 0.11668 0.12629 0.12588 0.12316 0.13494 0.13519 0.13244 10.000 10.010 10.005 0.13030 0.13509 0.13488 0.13350 0.13979 0.13993 0.13844 15.000 15.010 15.005 0.13721 0.13988 0.13976 0.13900 0.14260 0.14268 0.14184 20.000 20.010 20.005 0.14113 0.14267 0.14260 0.14218 0.14427 0.14432 0.14385 25.000 25.010 25.005 0.14343 0.14432 0.14428 0.14405 0.14527 0.14530 0.14503 30.000 30.010 30.005 0.14479 0.14530 0.14528 0.14515 0.14586 0.14588 0.14573 35.000 35.010 35.005 0.14559 0.14588 0.14587 0.14580 0.14621 0.14622 0.14614 40.000 40.010 40.005 0.14606 0.14622 0.14622 0.14618 0.14641 0.14642 0.14637 45.000 45.010 45.005 0.14632 0.14642 0.14641 0.14639 0.14653 0.14654 0.14651 50.000 50.010 50.005 0.14648 0.14654 0.14653 0.14652 0.14660 0.14660 0.14658 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 575.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.03470E-01 3.26547E-03 7.88652E-03 1.11520E-02 2.30802E-03 0.076220 9 1 10.0 0.0 180.0 6.38454E-02 3.33545E-03 2.31989E-03 5.65534E-03 2.35748E-03 0.036336 9 4 10.0 45.0 135.0 7.01489E-02 3.31511E-03 2.69390E-03 6.00900E-03 2.34310E-03 0.038403 9 7 10.0 90.0 90.0 9.47770E-02 3.29543E-03 5.67282E-03 8.96825E-03 2.32920E-03 0.059854 8 1 20.0 0.0 180.0 5.01497E-02 3.38288E-03 1.22589E-03 4.60877E-03 2.39100E-03 0.024445 8 4 20.0 45.0 135.0 5.58301E-02 3.33848E-03 1.44622E-03 4.78469E-03 2.35962E-03 0.025904 8 7 20.0 90.0 90.0 8.20955E-02 3.31565E-03 3.30679E-03 6.62244E-03 2.34348E-03 0.040280 7 1 30.0 0.0 180.0 4.34825E-02 3.44860E-03 1.04672E-03 4.49532E-03 2.43745E-03 0.024072 7 4 30.0 45.0 135.0 4.82094E-02 3.42885E-03 1.17597E-03 4.60482E-03 2.42349E-03 0.024393 7 7 30.0 90.0 90.0 7.02931E-02 3.38560E-03 2.04050E-03 5.42610E-03 2.39292E-03 0.029028 6 1 40.0 0.0 180.0 4.12731E-02 3.50509E-03 1.16383E-03 4.66892E-03 2.47738E-03 0.028198 6 4 40.0 45.0 135.0 4.51299E-02 3.47731E-03 1.26225E-03 4.73956E-03 2.45775E-03 0.027969 6 7 40.0 90.0 90.0 6.33617E-02 3.44177E-03 1.82952E-03 5.27129E-03 2.43262E-03 0.028874 5 1 50.0 0.0 180.0 4.32735E-02 3.57761E-03 1.83845E-03 5.41606E-03 2.52864E-03 0.042485 5 4 50.0 45.0 135.0 4.61137E-02 3.53023E-03 1.91533E-03 5.44556E-03 2.49515E-03 0.041535 5 7 50.0 90.0 90.0 6.12966E-02 3.51194E-03 2.47616E-03 5.98810E-03 2.48222E-03 0.040396 4 1 60.0 0.0 180.0 5.13663E-02 3.55347E-03 4.28275E-03 7.83622E-03 2.51158E-03 0.083377 4 4 60.0 45.0 135.0 5.25288E-02 3.50258E-03 4.22913E-03 7.73172E-03 2.47561E-03 0.080511 4 7 60.0 90.0 90.0 6.48662E-02 3.54278E-03 4.93867E-03 8.48144E-03 2.50402E-03 0.076136 3 1 70.0 0.0 180.0 7.12711E-02 3.32585E-03 1.18301E-02 1.51559E-02 2.35069E-03 0.165987 3 4 70.0 45.0 135.0 6.92651E-02 3.31660E-03 1.13827E-02 1.46993E-02 2.34416E-03 0.164336 3 7 70.0 90.0 90.0 7.74367E-02 3.37661E-03 1.23782E-02 1.57548E-02 2.38657E-03 0.159849 2 1 80.0 0.0 180.0 1.21091E-01 2.87159E-03 2.94061E-02 3.22777E-02 2.02963E-03 0.242843 2 4 80.0 45.0 135.0 1.12128E-01 2.85965E-03 2.84418E-02 3.13014E-02 2.02119E-03 0.253655 2 7 80.0 90.0 90.0 1.11400E-01 2.92990E-03 2.97863E-02 3.27162E-02 2.07084E-03 0.267382 1 1 87.5 0.0 180.0 1.95781E-01 2.33122E-03 5.18617E-02 5.41929E-02 1.64770E-03 0.264896 1 4 87.5 45.0 135.0 1.76277E-01 2.21290E-03 5.15415E-02 5.37544E-02 1.56407E-03 0.292389 1 7 87.5 90.0 90.0 1.60373E-01 2.52540E-03 5.27493E-02 5.52747E-02 1.78494E-03 0.328916 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 1.115E-02 1.035E-01 1.250E-01 1.078E-01 1.616E-01 7.882E-03 5.183E+00 3.265E-03 2.308E-03 1 0.00 0.00 6.057E-03 1.926E-01 1.272E-02 1.552E-02 2.316E-02 4.379E-03 4.312E+00 3 2.74 5.00 3.212E-03 2.940E-01 8.484E-03 1.160E-02 2.044E-02 4.464E-03 4.648E+00 5 5.47 10.00 1.630E-03 2.190E-01 4.855E-03 6.702E-03 1.155E-02 4.506E-03 4.809E+00 7 8.21 15.00 8.081E-04 1.304E-01 2.632E-03 3.592E-03 5.892E-03 4.530E-03 4.901E+00 9 10.94 20.00 3.955E-04 7.022E-02 1.388E-03 1.851E-03 2.864E-03 4.543E-03 4.955E+00 11 13.68 25.00 1.920E-04 3.589E-02 7.182E-04 9.318E-04 1.358E-03 4.551E-03 4.987E+00 13 16.41 30.00 9.282E-05 1.784E-02 3.667E-04 4.618E-04 6.361E-04 4.555E-03 5.006E+00 15 19.15 35.00 4.474E-05 8.730E-03 1.852E-04 2.266E-04 2.965E-04 4.557E-03 5.018E+00 17 21.88 40.00 2.153E-05 4.236E-03 9.276E-05 1.104E-04 1.382E-04 4.558E-03 5.024E+00 19 24.62 45.00 1.035E-05 2.046E-03 4.612E-05 5.353E-05 6.450E-05 4.559E-03 5.028E+00 21 27.36 50.00 4.975E-06 9.853E-04 2.280E-05 2.588E-05 3.019E-05 4.560E-03 5.030E+00 Waveband 18 of 30 completed in 5.5 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 84.9 m at 585.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 580.0 nm to 590.0 nm: Ed(diffuse) = 3.707E-01 Ed(direct) = 1.010E+00 Ed(total) = 1.381E+00 Absorption Coefficients of Individual Components at 585.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1100 0.0254 0.0025 0.1379 3 2.864 5.000 0.1100 0.0254 0.0025 0.1379 5 5.728 10.000 0.1100 0.0254 0.0025 0.1379 7 8.593 15.000 0.1100 0.0254 0.0025 0.1379 9 11.457 20.000 0.1100 0.0254 0.0025 0.1379 11 14.321 25.000 0.1100 0.0254 0.0025 0.1379 13 17.185 30.000 0.1100 0.0254 0.0025 0.1379 15 20.049 35.000 0.1100 0.0254 0.0025 0.1379 17 22.914 40.000 0.1100 0.0254 0.0025 0.1379 19 25.778 45.000 0.1100 0.0254 0.0025 0.1379 21 28.642 50.000 0.1100 0.0254 0.0025 0.1379 Scattering Coefficients of Individual Components at 585.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0015 0.4335 0.0000 0.4349 3 2.864 5.000 0.0015 0.4335 0.0000 0.4349 5 5.728 10.000 0.0015 0.4335 0.0000 0.4349 7 8.593 15.000 0.0015 0.4335 0.0000 0.4349 9 11.457 20.000 0.0015 0.4335 0.0000 0.4349 11 14.321 25.000 0.0015 0.4335 0.0000 0.4349 13 17.185 30.000 0.0015 0.4335 0.0000 0.4349 15 20.049 35.000 0.0015 0.4335 0.0000 0.4349 17 22.914 40.000 0.0015 0.4335 0.0000 0.4349 19 25.778 45.000 0.0015 0.4335 0.0000 0.4349 21 28.642 50.000 0.0015 0.4335 0.0000 0.4349 Backscattering Coefficients of Individual Components at 585.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00073 0.00433 0.00000 0.00507 3 2.864 5.000 0.00073 0.00433 0.00000 0.00507 5 5.728 10.000 0.00073 0.00433 0.00000 0.00507 7 8.593 15.000 0.00073 0.00433 0.00000 0.00507 9 11.457 20.000 0.00073 0.00433 0.00000 0.00507 11 14.321 25.000 0.00073 0.00433 0.00000 0.00507 13 17.185 30.000 0.00073 0.00433 0.00000 0.00507 15 20.049 35.000 0.00073 0.00433 0.00000 0.00507 17 22.914 40.000 0.00073 0.00433 0.00000 0.00507 19 25.778 45.000 0.00073 0.00433 0.00000 0.00507 21 28.642 50.000 0.00073 0.00433 0.00000 0.00507 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 0.1379 0.4349 0.5728 0.7593 0.00507 0.01165 3 2.864 5.000 0.1379 0.4349 0.5728 0.7593 0.00507 0.01165 5 5.728 10.000 0.1379 0.4349 0.5728 0.7593 0.00507 0.01165 7 8.593 15.000 0.1379 0.4349 0.5728 0.7593 0.00507 0.01165 9 11.457 20.000 0.1379 0.4349 0.5728 0.7593 0.00507 0.01165 11 14.321 25.000 0.1379 0.4349 0.5728 0.7593 0.00507 0.01165 13 17.185 30.000 0.1379 0.4349 0.5728 0.7593 0.00507 0.01165 15 20.049 35.000 0.1379 0.4349 0.5728 0.7593 0.00507 0.01165 17 22.914 40.000 0.1379 0.4349 0.5728 0.7593 0.00507 0.01165 19 25.778 45.000 0.1379 0.4349 0.5728 0.7593 0.00507 0.01165 21 28.642 50.000 0.1379 0.4349 0.5728 0.7593 0.00507 0.01165 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 9.0960E-01 8 20.00 7.0622E-01 7 30.00 4.7555E-01 6 40.00 2.8692E-01 5 50.00 1.6111E-01 4 60.00 8.7636E-02 3 70.00 4.7968E-02 2 80.00 2.7364E-02 1 87.50 1.8528E-02 1 92.50 1.4270E-02 2 100.00 1.0382E-02 3 110.00 7.2929E-03 4 120.00 5.4942E-03 5 130.00 4.4411E-03 6 140.00 3.8171E-03 7 150.00 3.4475E-03 8 160.00 3.2350E-03 9 170.00 3.1253E-03 10 180.00 3.0874E-03 Asymptotic AOP values are MUu(inf) = 0.3648 MUd(inf) = 0.7882 MU(inf) = 0.7502 R(inf) = 0.0158 Lu(inf)/Ed(inf) = 0.003181 (1/sr) k(inf) = 0.1838 (1/m) absorp(check) = 0.1379 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 585.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.4376E-01 1.9161E+00 2.0598E+00 5.3351E-02 1.3808E+00 0.3711 0.7207 0.6445 3.8637E-02 1 0.00 0.00 4.5657E-02 1.5204E+00 1.5661E+00 1.8494E-02 1.3459E+00 0.4051 0.8852 0.8476 1.3740E-02 3 2.86 5.00 2.2904E-02 6.9633E-01 7.1923E-01 8.7553E-03 5.7977E-01 0.3823 0.8326 0.7939 1.5101E-02 5 5.73 10.00 1.0123E-02 2.9689E-01 3.0702E-01 3.8012E-03 2.4078E-01 0.3755 0.8110 0.7719 1.5787E-02 7 8.59 15.00 4.2805E-03 1.2279E-01 1.2707E-01 1.5946E-03 9.8187E-02 0.3725 0.7996 0.7602 1.6241E-02 9 11.46 20.00 1.7709E-03 4.9967E-02 5.1738E-02 6.5767E-04 3.9644E-02 0.3714 0.7934 0.7535 1.6590E-02 11 14.32 25.00 7.2475E-04 2.0155E-02 2.0880E-02 2.6906E-04 1.5921E-02 0.3712 0.7899 0.7496 1.6900E-02 13 17.19 30.00 2.9522E-04 8.0923E-03 8.3875E-03 1.0976E-04 6.3764E-03 0.3718 0.7880 0.7471 1.7214E-02 15 20.05 35.00 1.2015E-04 3.2418E-03 3.3619E-03 4.4795E-05 2.5507E-03 0.3728 0.7868 0.7454 1.7562E-02 17 22.91 40.00 4.8977E-05 1.2977E-03 1.3467E-03 1.8329E-05 1.0201E-03 0.3742 0.7860 0.7438 1.7969E-02 19 25.78 45.00 2.0025E-05 5.1941E-04 5.3944E-04 7.5297E-06 4.0796E-04 0.3760 0.7854 0.7423 1.8457E-02 21 28.64 50.00 8.2228E-06 2.0798E-04 2.1621E-04 3.1094E-06 1.6323E-04 0.3781 0.7848 0.7406 1.9049E-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 0.09931 0.13910 0.13794 0.12811 0.16187 0.16234 0.15471 5.000 5.010 5.005 0.15605 0.16575 0.16545 0.16143 0.17304 0.17322 0.16908 10.000 10.010 10.005 0.16886 0.17420 0.17403 0.17116 0.17795 0.17806 0.17465 15.000 15.010 15.005 0.17484 0.17852 0.17840 0.17586 0.18059 0.18067 0.17736 20.000 20.010 20.005 0.17788 0.18088 0.18078 0.17819 0.18204 0.18210 0.17855 25.000 25.010 25.005 0.17932 0.18215 0.18205 0.17919 0.18280 0.18286 0.17883 30.000 30.010 30.005 0.17981 0.18279 0.18269 0.17938 0.18317 0.18323 0.17854 35.000 35.010 35.005 0.17971 0.18308 0.18296 0.17906 0.18331 0.18339 0.17785 40.000 40.010 40.005 0.17925 0.18316 0.18301 0.17839 0.18332 0.18341 0.17687 45.000 45.010 45.005 0.17848 0.18311 0.18294 0.17744 0.18326 0.18337 0.17564 50.000 50.010 50.005 0.17750 0.18298 0.18277 0.17629 0.18314 0.18327 0.17421 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 585.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.00019E-01 2.32070E-03 7.69050E-03 1.00112E-02 1.68068E-03 0.076891 9 1 10.0 0.0 180.0 6.17156E-02 2.37601E-03 2.25150E-03 4.62751E-03 1.72074E-03 0.036482 9 4 10.0 45.0 135.0 6.78088E-02 2.35938E-03 2.61562E-03 4.97500E-03 1.70869E-03 0.038573 9 7 10.0 90.0 90.0 9.16153E-02 2.34021E-03 5.52507E-03 7.86528E-03 1.69481E-03 0.060307 8 1 20.0 0.0 180.0 4.84768E-02 2.41108E-03 1.18545E-03 3.59653E-03 1.74613E-03 0.024454 8 4 20.0 45.0 135.0 5.39677E-02 2.37583E-03 1.39915E-03 3.77498E-03 1.72061E-03 0.025926 8 7 20.0 90.0 90.0 7.93569E-02 2.35109E-03 3.21226E-03 5.56335E-03 1.70269E-03 0.040479 7 1 30.0 0.0 180.0 4.20320E-02 2.45785E-03 1.01180E-03 3.46966E-03 1.78001E-03 0.024072 7 4 30.0 45.0 135.0 4.66016E-02 2.43872E-03 1.13680E-03 3.57552E-03 1.76615E-03 0.024394 7 7 30.0 90.0 90.0 6.79461E-02 2.39624E-03 1.97553E-03 4.37177E-03 1.73539E-03 0.029075 6 1 40.0 0.0 180.0 3.98963E-02 2.49576E-03 1.12500E-03 3.62076E-03 1.80746E-03 0.028198 6 4 40.0 45.0 135.0 4.36245E-02 2.46929E-03 1.22014E-03 3.68943E-03 1.78829E-03 0.027969 6 7 40.0 90.0 90.0 6.12481E-02 2.42883E-03 1.76869E-03 4.19753E-03 1.75899E-03 0.028878 5 1 50.0 0.0 180.0 4.18299E-02 2.54411E-03 1.77713E-03 4.32123E-03 1.84248E-03 0.042485 5 4 50.0 45.0 135.0 4.45754E-02 2.50265E-03 1.85144E-03 4.35409E-03 1.81245E-03 0.041535 5 7 50.0 90.0 90.0 5.92518E-02 2.47242E-03 2.39356E-03 4.86598E-03 1.79056E-03 0.040396 4 1 60.0 0.0 180.0 4.96528E-02 2.52353E-03 4.13988E-03 6.66341E-03 1.82757E-03 0.083377 4 4 60.0 45.0 135.0 5.07765E-02 2.47892E-03 4.08806E-03 6.56697E-03 1.79526E-03 0.080511 4 7 60.0 90.0 90.0 6.27023E-02 2.48886E-03 4.77392E-03 7.26278E-03 1.80246E-03 0.076136 3 1 70.0 0.0 180.0 6.88936E-02 2.35866E-03 1.14355E-02 1.37941E-02 1.70817E-03 0.165987 3 4 70.0 45.0 135.0 6.69545E-02 2.34375E-03 1.10030E-02 1.33468E-02 1.69738E-03 0.164336 3 7 70.0 90.0 90.0 7.48536E-02 2.36864E-03 1.19653E-02 1.43339E-02 1.71540E-03 0.159849 2 1 80.0 0.0 180.0 1.17051E-01 2.03444E-03 2.84251E-02 3.04596E-02 1.47337E-03 0.242843 2 4 80.0 45.0 135.0 1.08387E-01 2.01867E-03 2.74930E-02 2.95117E-02 1.46195E-03 0.253655 2 7 80.0 90.0 90.0 1.07684E-01 2.05372E-03 2.87926E-02 3.08464E-02 1.48733E-03 0.267382 1 1 87.5 0.0 180.0 1.89250E-01 1.65072E-03 5.01317E-02 5.17824E-02 1.19548E-03 0.264896 1 4 87.5 45.0 135.0 1.70397E-01 1.56145E-03 4.98221E-02 5.13836E-02 1.13082E-03 0.292389 1 7 87.5 90.0 90.0 1.55023E-01 1.77062E-03 5.09897E-02 5.27603E-02 1.28231E-03 0.328916 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 1.001E-02 1.000E-01 1.205E-01 1.039E-01 1.559E-01 7.250E-03 5.329E+00 2.321E-03 1.681E-03 1 0.00 0.00 4.305E-03 1.861E-01 9.235E-03 1.134E-02 1.723E-02 3.199E-03 4.295E+00 3 2.86 5.00 1.903E-03 2.392E-01 5.147E-03 7.098E-03 1.269E-02 3.282E-03 4.601E+00 5 5.73 10.00 8.047E-04 1.504E-01 2.409E-03 3.336E-03 5.789E-03 3.342E-03 4.724E+00 7 8.59 15.00 3.336E-04 7.558E-02 1.076E-03 1.466E-03 2.408E-03 3.397E-03 4.781E+00 9 11.46 20.00 1.370E-04 3.425E-02 4.696E-04 6.231E-04 9.606E-04 3.455E-03 4.802E+00 11 14.32 25.00 5.604E-05 1.470E-02 2.019E-04 2.598E-04 3.758E-04 3.520E-03 4.801E+00 13 17.19 30.00 2.293E-05 6.127E-03 8.591E-05 1.071E-04 1.459E-04 3.596E-03 4.787E+00 15 20.05 35.00 9.406E-06 2.509E-03 3.627E-05 4.383E-05 5.666E-05 3.688E-03 4.762E+00 17 22.91 40.00 3.875E-06 1.018E-03 1.523E-05 1.789E-05 2.209E-05 3.799E-03 4.730E+00 19 25.78 45.00 1.605E-06 4.105E-04 6.372E-06 7.293E-06 8.659E-06 3.935E-03 4.691E+00 21 28.64 50.00 6.693E-07 1.650E-04 2.659E-06 2.976E-06 3.419E-06 4.101E-03 4.645E+00 Waveband 19 of 30 completed in 5.9 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 82.3 m at 595.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 590.0 nm to 600.0 nm: Ed(diffuse) = 3.536E-01 Ed(direct) = 9.762E-01 Ed(total) = 1.330E+00 Absorption Coefficients of Individual Components at 595.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1672 0.0226 0.0021 0.1919 3 3.098 5.000 0.1672 0.0226 0.0021 0.1919 5 6.195 10.000 0.1672 0.0226 0.0021 0.1919 7 9.293 15.000 0.1672 0.0226 0.0021 0.1919 9 12.390 20.000 0.1672 0.0226 0.0021 0.1919 11 15.488 25.000 0.1672 0.0226 0.0021 0.1919 13 18.585 30.000 0.1672 0.0226 0.0021 0.1919 15 21.683 35.000 0.1672 0.0226 0.0021 0.1919 17 24.780 40.000 0.1672 0.0226 0.0021 0.1919 19 27.878 45.000 0.1672 0.0226 0.0021 0.1919 21 30.975 50.000 0.1672 0.0226 0.0021 0.1919 Scattering Coefficients of Individual Components at 595.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0014 0.4262 0.0000 0.4276 3 3.098 5.000 0.0014 0.4262 0.0000 0.4276 5 6.195 10.000 0.0014 0.4262 0.0000 0.4276 7 9.293 15.000 0.0014 0.4262 0.0000 0.4276 9 12.390 20.000 0.0014 0.4262 0.0000 0.4276 11 15.488 25.000 0.0014 0.4262 0.0000 0.4276 13 18.585 30.000 0.0014 0.4262 0.0000 0.4276 15 21.683 35.000 0.0014 0.4262 0.0000 0.4276 17 24.780 40.000 0.0014 0.4262 0.0000 0.4276 19 27.878 45.000 0.0014 0.4262 0.0000 0.4276 21 30.975 50.000 0.0014 0.4262 0.0000 0.4276 Backscattering Coefficients of Individual Components at 595.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00068 0.00426 0.00000 0.00494 3 3.098 5.000 0.00068 0.00426 0.00000 0.00494 5 6.195 10.000 0.00068 0.00426 0.00000 0.00494 7 9.293 15.000 0.00068 0.00426 0.00000 0.00494 9 12.390 20.000 0.00068 0.00426 0.00000 0.00494 11 15.488 25.000 0.00068 0.00426 0.00000 0.00494 13 18.585 30.000 0.00068 0.00426 0.00000 0.00494 15 21.683 35.000 0.00068 0.00426 0.00000 0.00494 17 24.780 40.000 0.00068 0.00426 0.00000 0.00494 19 27.878 45.000 0.00068 0.00426 0.00000 0.00494 21 30.975 50.000 0.00068 0.00426 0.00000 0.00494 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 0.1919 0.4276 0.6195 0.6902 0.00494 0.01156 3 3.098 5.000 0.1919 0.4276 0.6195 0.6902 0.00494 0.01156 5 6.195 10.000 0.1919 0.4276 0.6195 0.6902 0.00494 0.01156 7 9.293 15.000 0.1919 0.4276 0.6195 0.6902 0.00494 0.01156 9 12.390 20.000 0.1919 0.4276 0.6195 0.6902 0.00494 0.01156 11 15.488 25.000 0.1919 0.4276 0.6195 0.6902 0.00494 0.01156 13 18.585 30.000 0.1919 0.4276 0.6195 0.6902 0.00494 0.01156 15 21.683 35.000 0.1919 0.4276 0.6195 0.6902 0.00494 0.01156 17 24.780 40.000 0.1919 0.4276 0.6195 0.6902 0.00494 0.01156 19 27.878 45.000 0.1919 0.4276 0.6195 0.6902 0.00494 0.01156 21 30.975 50.000 0.1919 0.4276 0.6195 0.6902 0.00494 0.01156 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.8877E-01 8 20.00 6.4966E-01 7 30.00 4.0065E-01 6 40.00 2.1851E-01 5 50.00 1.1108E-01 4 60.00 5.5464E-02 3 70.00 2.8451E-02 2 80.00 1.5539E-02 1 87.50 1.0314E-02 1 92.50 7.9033E-03 2 100.00 5.7209E-03 3 110.00 4.0140E-03 4 120.00 3.0422E-03 5 130.00 2.4834E-03 6 140.00 2.1584E-03 7 150.00 1.9698E-03 8 160.00 1.8635E-03 9 170.00 1.8097E-03 10 180.00 1.7911E-03 Asymptotic AOP values are MUu(inf) = 0.3676 MUd(inf) = 0.8175 MU(inf) = 0.7907 R(inf) = 0.0104 Lu(inf)/Ed(inf) = 0.002176 (1/sr) k(inf) = 0.2428 (1/m) absorp(check) = 0.1920 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 595.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.3320E-01 1.8424E+00 1.9756E+00 4.8960E-02 1.3298E+00 0.3676 0.7218 0.6483 3.6818E-02 1 0.00 0.00 3.0594E-02 1.4532E+00 1.4838E+00 1.2263E-02 1.2931E+00 0.4008 0.8898 0.8632 9.4833E-03 3 3.10 5.00 1.1277E-02 4.8645E-01 4.9773E-01 4.3029E-03 4.1079E-01 0.3816 0.8445 0.8167 1.0475E-02 5 6.20 10.00 3.7019E-03 1.5175E-01 1.5546E-01 1.4021E-03 1.2565E-01 0.3788 0.8280 0.7993 1.1159E-02 7 9.29 15.00 1.1884E-03 4.6124E-02 4.7312E-02 4.5212E-04 3.7814E-02 0.3804 0.8198 0.7897 1.1956E-02 9 12.39 20.00 3.8434E-04 1.3860E-02 1.4244E-02 1.4814E-04 1.1301E-02 0.3854 0.8153 0.7829 1.3109E-02 11 15.49 25.00 1.2787E-04 4.1505E-03 4.2784E-03 5.0312E-05 3.3715E-03 0.3935 0.8123 0.7763 1.4923E-02 13 18.59 30.00 4.4525E-05 1.2453E-03 1.2898E-03 1.7994E-05 1.0078E-03 0.4041 0.8093 0.7674 1.7854E-02 15 21.68 35.00 1.6432E-05 3.7605E-04 3.9249E-04 6.8437E-06 3.0282E-04 0.4165 0.8053 0.7541 2.2600E-02 17 24.78 40.00 6.4629E-06 1.1491E-04 1.2137E-04 2.7726E-06 9.1810E-05 0.4290 0.7990 0.7336 3.0199E-02 19 27.88 45.00 2.7015E-06 3.5773E-05 3.8475E-05 1.1891E-06 2.8236E-05 0.4402 0.7893 0.7030 4.2114E-02 21 30.98 50.00 1.1891E-06 1.1453E-05 1.2642E-05 5.3405E-07 8.8758E-06 0.4491 0.7750 0.6598 6.0170E-02 K-functions (units of 1/meter) at 595.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.15169 0.19896 0.19799 0.18482 0.22169 0.22205 0.21181 5.000 5.010 5.005 0.21742 0.22863 0.22837 0.22072 0.23428 0.23442 0.22524 10.000 10.010 10.005 0.22639 0.23626 0.23603 0.22650 0.23896 0.23910 0.22637 15.000 15.010 15.005 0.22737 0.23966 0.23935 0.22558 0.24108 0.24127 0.22249 20.000 20.010 20.005 0.22361 0.24101 0.24054 0.22024 0.24187 0.24216 0.21477 25.000 25.010 25.005 0.21611 0.24112 0.24037 0.21131 0.24181 0.24228 0.20401 30.000 30.010 30.005 0.20553 0.24028 0.23908 0.19973 0.24111 0.24186 0.19149 35.000 35.010 35.005 0.19310 0.23849 0.23659 0.18696 0.23973 0.24095 0.17888 40.000 40.010 40.005 0.18032 0.23551 0.23257 0.17471 0.23746 0.23941 0.16772 45.000 45.010 45.005 0.16893 0.23093 0.22658 0.16431 0.23393 0.23699 0.15886 50.000 50.010 50.005 0.15974 0.22423 0.21817 0.15629 0.22863 0.23326 0.15237 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 9.54262E-02 1.54897E-03 7.40045E-03 8.94942E-03 1.16482E-03 0.077552 9 1 10.0 0.0 180.0 5.88819E-02 1.58944E-03 2.15659E-03 3.74603E-03 1.19526E-03 0.036626 9 4 10.0 45.0 135.0 6.46953E-02 1.57694E-03 2.50641E-03 4.08335E-03 1.18585E-03 0.038742 9 7 10.0 90.0 90.0 8.74087E-02 1.56077E-03 5.31041E-03 6.87117E-03 1.17369E-03 0.060754 8 1 20.0 0.0 180.0 4.62509E-02 1.61361E-03 1.13145E-03 2.74505E-03 1.21343E-03 0.024463 8 4 20.0 45.0 135.0 5.14897E-02 1.58768E-03 1.33602E-03 2.92370E-03 1.19393E-03 0.025947 8 7 20.0 90.0 90.0 7.57132E-02 1.56560E-03 3.07961E-03 4.64521E-03 1.17732E-03 0.040675 7 1 30.0 0.0 180.0 4.01020E-02 1.64470E-03 9.65346E-04 2.61005E-03 1.23681E-03 0.024072 7 4 30.0 45.0 135.0 4.44621E-02 1.62861E-03 1.08466E-03 2.71326E-03 1.22471E-03 0.024395 7 7 30.0 90.0 90.0 6.48243E-02 1.59252E-03 1.88774E-03 3.48026E-03 1.19757E-03 0.029121 6 1 40.0 0.0 180.0 3.80644E-02 1.66820E-03 1.07335E-03 2.74154E-03 1.25448E-03 0.028198 6 4 40.0 45.0 135.0 4.16214E-02 1.64613E-03 1.16411E-03 2.81024E-03 1.23788E-03 0.027969 6 7 40.0 90.0 90.0 5.84358E-02 1.60902E-03 1.68767E-03 3.29669E-03 1.20998E-03 0.028881 5 1 50.0 0.0 180.0 3.99093E-02 1.69795E-03 1.69553E-03 3.39348E-03 1.27685E-03 0.042485 5 4 50.0 45.0 135.0 4.25287E-02 1.66515E-03 1.76643E-03 3.43158E-03 1.25219E-03 0.041535 5 7 50.0 90.0 90.0 5.65312E-02 1.63339E-03 2.28366E-03 3.91705E-03 1.22830E-03 0.040396 4 1 60.0 0.0 180.0 4.73729E-02 1.68151E-03 3.94979E-03 5.63130E-03 1.26449E-03 0.083377 4 4 60.0 45.0 135.0 4.84450E-02 1.64614E-03 3.90035E-03 5.54648E-03 1.23789E-03 0.080511 4 7 60.0 90.0 90.0 5.98232E-02 1.64008E-03 4.55472E-03 6.19481E-03 1.23334E-03 0.076136 3 1 70.0 0.0 180.0 6.57303E-02 1.56892E-03 1.09104E-02 1.24793E-02 1.17982E-03 0.165987 3 4 70.0 45.0 135.0 6.38802E-02 1.55337E-03 1.04978E-02 1.20512E-02 1.16813E-03 0.164336 3 7 70.0 90.0 90.0 7.14166E-02 1.55764E-03 1.14159E-02 1.29735E-02 1.17134E-03 0.159849 2 1 80.0 0.0 180.0 1.11677E-01 1.35134E-03 2.71199E-02 2.84713E-02 1.01621E-03 0.242843 2 4 80.0 45.0 135.0 1.03410E-01 1.33588E-03 2.62306E-02 2.75665E-02 1.00458E-03 0.253655 2 7 80.0 90.0 90.0 1.02739E-01 1.34874E-03 2.74706E-02 2.88193E-02 1.01425E-03 0.267382 1 1 87.5 0.0 180.0 1.80561E-01 1.09539E-03 4.78298E-02 4.89252E-02 8.23729E-04 0.264896 1 4 87.5 45.0 135.0 1.62573E-01 1.03235E-03 4.75345E-02 4.85668E-02 7.76328E-04 0.292389 1 7 87.5 90.0 90.0 1.47905E-01 1.16237E-03 4.86484E-02 4.98108E-02 8.74096E-04 0.328916 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 8.949E-03 9.543E-02 1.147E-01 9.886E-02 1.484E-01 6.730E-03 5.471E+00 1.549E-03 1.165E-03 1 0.00 0.00 2.874E-03 1.776E-01 6.304E-03 7.786E-03 1.205E-02 2.223E-03 4.267E+00 3 3.10 5.00 9.543E-04 1.727E-01 2.584E-03 3.581E-03 6.469E-03 2.323E-03 4.509E+00 5 6.20 10.00 3.079E-04 8.231E-02 8.888E-04 1.224E-03 2.118E-03 2.451E-03 4.553E+00 7 9.29 15.00 1.001E-04 3.130E-02 2.981E-04 3.995E-04 6.449E-04 2.648E-03 4.516E+00 9 12.39 20.00 3.352E-05 1.072E-02 9.989E-05 1.288E-04 1.921E-04 2.966E-03 4.419E+00 11 15.49 25.00 1.176E-05 3.470E-03 3.389E-05 4.180E-05 5.761E-05 3.487E-03 4.279E+00 13 18.59 30.00 4.373E-06 1.089E-03 1.179E-05 1.391E-05 1.777E-05 4.339E-03 4.115E+00 15 21.68 35.00 1.733E-06 3.361E-04 4.262E-06 4.814E-06 5.747E-06 5.723E-03 3.949E+00 17 24.78 40.00 7.293E-07 1.029E-04 1.615E-06 1.758E-06 1.982E-06 7.944E-03 3.802E+00 19 27.88 45.00 3.227E-07 3.144E-05 6.457E-07 6.821E-07 7.357E-07 1.143E-02 3.685E+00 21 30.98 50.00 1.484E-07 9.658E-06 2.720E-07 2.812E-07 2.941E-07 1.671E-02 3.600E+00 Waveband 20 of 30 completed in 6.8 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 78.4 m at 605.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 600.0 nm to 610.0 nm: Ed(diffuse) = 3.601E-01 Ed(direct) = 1.006E+00 Ed(total) = 1.366E+00 Absorption Coefficients of Individual Components at 605.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2577 0.0254 0.0019 0.2850 3 3.527 5.000 0.2577 0.0254 0.0019 0.2850 5 7.054 10.000 0.2577 0.0254 0.0019 0.2850 7 10.581 15.000 0.2577 0.0254 0.0019 0.2850 9 14.108 20.000 0.2577 0.0254 0.0019 0.2850 11 17.635 25.000 0.2577 0.0254 0.0019 0.2850 13 21.162 30.000 0.2577 0.0254 0.0019 0.2850 15 24.689 35.000 0.2577 0.0254 0.0019 0.2850 17 28.216 40.000 0.2577 0.0254 0.0019 0.2850 19 31.743 45.000 0.2577 0.0254 0.0019 0.2850 21 35.270 50.000 0.2577 0.0254 0.0019 0.2850 Scattering Coefficients of Individual Components at 605.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0013 0.4191 0.0000 0.4204 3 3.527 5.000 0.0013 0.4191 0.0000 0.4204 5 7.054 10.000 0.0013 0.4191 0.0000 0.4204 7 10.581 15.000 0.0013 0.4191 0.0000 0.4204 9 14.108 20.000 0.0013 0.4191 0.0000 0.4204 11 17.635 25.000 0.0013 0.4191 0.0000 0.4204 13 21.162 30.000 0.0013 0.4191 0.0000 0.4204 15 24.689 35.000 0.0013 0.4191 0.0000 0.4204 17 28.216 40.000 0.0013 0.4191 0.0000 0.4204 19 31.743 45.000 0.0013 0.4191 0.0000 0.4204 21 35.270 50.000 0.0013 0.4191 0.0000 0.4204 Backscattering Coefficients of Individual Components at 605.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00063 0.00419 0.00000 0.00483 3 3.527 5.000 0.00063 0.00419 0.00000 0.00483 5 7.054 10.000 0.00063 0.00419 0.00000 0.00483 7 10.581 15.000 0.00063 0.00419 0.00000 0.00483 9 14.108 20.000 0.00063 0.00419 0.00000 0.00483 11 17.635 25.000 0.00063 0.00419 0.00000 0.00483 13 21.162 30.000 0.00063 0.00419 0.00000 0.00483 15 24.689 35.000 0.00063 0.00419 0.00000 0.00483 17 28.216 40.000 0.00063 0.00419 0.00000 0.00483 19 31.743 45.000 0.00063 0.00419 0.00000 0.00483 21 35.270 50.000 0.00063 0.00419 0.00000 0.00483 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 0.2850 0.4204 0.7054 0.5960 0.00483 0.01148 3 3.527 5.000 0.2850 0.4204 0.7054 0.5960 0.00483 0.01148 5 7.054 10.000 0.2850 0.4204 0.7054 0.5960 0.00483 0.01148 7 10.581 15.000 0.2850 0.4204 0.7054 0.5960 0.00483 0.01148 9 14.108 20.000 0.2850 0.4204 0.7054 0.5960 0.00483 0.01148 11 17.635 25.000 0.2850 0.4204 0.7054 0.5960 0.00483 0.01148 13 21.162 30.000 0.2850 0.4204 0.7054 0.5960 0.00483 0.01148 15 24.689 35.000 0.2850 0.4204 0.7054 0.5960 0.00483 0.01148 17 28.216 40.000 0.2850 0.4204 0.7054 0.5960 0.00483 0.01148 19 31.743 45.000 0.2850 0.4204 0.7054 0.5960 0.00483 0.01148 21 35.270 50.000 0.2850 0.4204 0.7054 0.5960 0.00483 0.01148 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.5738E-01 8 20.00 5.7164E-01 7 30.00 3.0998E-01 6 40.00 1.4707E-01 5 50.00 6.5890E-02 4 60.00 2.9858E-02 3 70.00 1.4383E-02 2 80.00 7.5886E-03 1 87.50 4.9768E-03 1 92.50 3.8180E-03 2 100.00 2.7669E-03 3 110.00 1.9517E-03 4 120.00 1.4956E-03 5 130.00 1.2377E-03 6 140.00 1.0908E-03 7 150.00 1.0077E-03 8 160.00 9.6226E-04 9 170.00 9.3987E-04 10 180.00 9.3217E-04 Asymptotic AOP values are MUu(inf) = 0.3730 MUd(inf) = 0.8497 MU(inf) = 0.8321 R(inf) = 0.0064 Lu(inf)/Ed(inf) = 0.001400 (1/sr) k(inf) = 0.3425 (1/m) absorp(check) = 0.2850 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 605.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.3249E-01 1.8895E+00 2.0220E+00 4.8323E-02 1.3657E+00 0.3647 0.7228 0.6515 3.5384E-02 1 0.00 0.00 2.0478E-02 1.4834E+00 1.5039E+00 8.1250E-03 1.3255E+00 0.3968 0.8935 0.8760 6.1300E-03 3 3.53 5.00 4.5025E-03 2.9141E-01 2.9591E-01 1.7320E-03 2.5001E-01 0.3847 0.8579 0.8390 6.9279E-03 5 7.05 10.00 9.5162E-04 5.3715E-02 5.4667E-02 3.7406E-04 4.5499E-02 0.3931 0.8470 0.8254 8.2213E-03 7 10.58 15.00 2.2905E-04 9.7610E-03 9.9900E-03 9.4770E-05 8.2071E-03 0.4138 0.8408 0.8120 1.1547E-02 9 14.11 20.00 6.9302E-05 1.7905E-03 1.8598E-03 3.0528E-05 1.4910E-03 0.4405 0.8327 0.7853 2.0475E-02 11 17.64 25.00 2.6362E-05 3.4254E-04 3.6890E-04 1.2161E-05 2.7907E-04 0.4613 0.8147 0.7235 4.3575E-02 13 21.16 30.00 1.1605E-05 7.2569E-05 8.4175E-05 5.4812E-06 5.6268E-05 0.4723 0.7754 0.6033 9.7412E-02 15 24.69 35.00 5.4740E-06 1.8606E-05 2.4080E-05 2.6113E-06 1.3228E-05 0.4770 0.7110 0.4409 1.9741E-01 17 28.22 40.00 2.6558E-06 6.1059E-06 8.7617E-06 1.2721E-06 3.9266E-06 0.4790 0.6431 0.3030 3.2397E-01 19 31.74 45.00 1.3030E-06 2.4629E-06 3.7660E-06 6.2523E-07 1.4719E-06 0.4798 0.5976 0.2248 4.2477E-01 21 35.27 50.00 6.4242E-07 1.1175E-06 1.7599E-06 3.0851E-07 6.4324E-07 0.4802 0.5756 0.1902 4.7962E-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 0.24900 0.30308 0.30234 0.28461 0.32483 0.32508 0.31032 5.000 5.010 5.005 0.31542 0.33480 0.33450 0.31436 0.33859 0.33876 0.31212 10.000 10.010 10.005 0.30230 0.34046 0.33980 0.29482 0.34220 0.34260 0.28334 15.000 15.010 15.005 0.26432 0.34092 0.33916 0.25192 0.34237 0.34343 0.23531 20.000 20.010 20.005 0.21446 0.33639 0.33184 0.20293 0.33913 0.34198 0.18949 25.000 25.010 25.005 0.17580 0.32316 0.31262 0.16900 0.32975 0.33708 0.16179 30.000 30.010 30.005 0.15540 0.29429 0.27513 0.15236 0.30800 0.32481 0.14919 35.000 35.010 35.005 0.14672 0.24779 0.22481 0.14547 0.26800 0.29817 0.14413 40.000 40.010 40.005 0.14325 0.19931 0.18232 0.14274 0.21768 0.25361 0.14211 45.000 45.010 45.005 0.14184 0.16698 0.15828 0.14160 0.17773 0.20442 0.14125 50.000 50.010 50.005 0.14117 0.15121 0.14754 0.14104 0.15603 0.16985 0.14080 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 9.71580E-02 1.03376E-03 7.59453E-03 8.62829E-03 7.56966E-04 0.078167 9 1 10.0 0.0 180.0 5.99505E-02 1.06292E-03 2.20375E-03 3.26666E-03 7.78315E-04 0.036759 9 4 10.0 45.0 135.0 6.58694E-02 1.05371E-03 2.56222E-03 3.61594E-03 7.71578E-04 0.038899 9 7 10.0 90.0 90.0 8.89950E-02 1.04087E-03 5.44376E-03 6.48463E-03 7.62174E-04 0.061169 8 1 20.0 0.0 180.0 4.70903E-02 1.07950E-03 1.15239E-03 2.23189E-03 7.90457E-04 0.024472 8 4 20.0 45.0 135.0 5.24241E-02 1.06074E-03 1.36131E-03 2.42205E-03 7.76720E-04 0.025967 8 7 20.0 90.0 90.0 7.70872E-02 1.04259E-03 3.14956E-03 4.19215E-03 7.63433E-04 0.040857 7 1 30.0 0.0 180.0 4.08298E-02 1.10016E-03 9.82865E-04 2.08303E-03 8.05588E-04 0.024072 7 4 30.0 45.0 135.0 4.52693E-02 1.08739E-03 1.10439E-03 2.19178E-03 7.96233E-04 0.024396 7 7 30.0 90.0 90.0 6.59988E-02 1.05856E-03 1.92477E-03 2.98333E-03 7.75126E-04 0.029164 6 1 40.0 0.0 180.0 3.87552E-02 1.11469E-03 1.09282E-03 2.20752E-03 8.16229E-04 0.028198 6 4 40.0 45.0 135.0 4.23767E-02 1.09726E-03 1.18524E-03 2.28250E-03 8.03463E-04 0.027969 6 7 40.0 90.0 90.0 5.94963E-02 1.06628E-03 1.71848E-03 2.78476E-03 7.80781E-04 0.028884 5 1 50.0 0.0 180.0 4.06335E-02 1.13291E-03 1.72630E-03 2.85921E-03 8.29569E-04 0.042485 5 4 50.0 45.0 135.0 4.33005E-02 1.10787E-03 1.79848E-03 2.90635E-03 8.11233E-04 0.041535 5 7 50.0 90.0 90.0 5.75571E-02 1.07952E-03 2.32510E-03 3.40463E-03 7.90476E-04 0.040396 4 1 60.0 0.0 180.0 4.82326E-02 1.12016E-03 4.02147E-03 5.14163E-03 8.20229E-04 0.083377 4 4 60.0 45.0 135.0 4.93242E-02 1.09310E-03 3.97113E-03 5.06423E-03 8.00420E-04 0.080511 4 7 60.0 90.0 90.0 6.09089E-02 1.08121E-03 4.63738E-03 5.71859E-03 7.91711E-04 0.076136 3 1 70.0 0.0 180.0 6.69231E-02 1.04328E-03 1.11084E-02 1.21517E-02 7.63939E-04 0.165987 3 4 70.0 45.0 135.0 6.50395E-02 1.02945E-03 1.06883E-02 1.17178E-02 7.53807E-04 0.164336 3 7 70.0 90.0 90.0 7.27126E-02 1.02460E-03 1.16230E-02 1.26476E-02 7.50258E-04 0.159849 2 1 80.0 0.0 180.0 1.13703E-01 8.97242E-04 2.76121E-02 2.85094E-02 6.57002E-04 0.242843 2 4 80.0 45.0 135.0 1.05287E-01 8.83845E-04 2.67066E-02 2.75905E-02 6.47192E-04 0.253655 2 7 80.0 90.0 90.0 1.04604E-01 8.85810E-04 2.79691E-02 2.88549E-02 6.48631E-04 0.267382 1 1 87.5 0.0 180.0 1.83838E-01 7.26438E-04 4.86978E-02 4.94242E-02 5.31931E-04 0.264896 1 4 87.5 45.0 135.0 1.65523E-01 6.82242E-04 4.83971E-02 4.90794E-02 4.99569E-04 0.292389 1 7 87.5 90.0 90.0 1.50590E-01 7.62851E-04 4.95313E-02 5.02941E-02 5.58594E-04 0.328916 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 8.628E-03 9.716E-02 1.166E-01 1.004E-01 1.509E-01 6.318E-03 5.601E+00 1.034E-03 7.570E-04 1 0.00 0.00 1.918E-03 1.808E-01 4.330E-03 5.379E-03 8.476E-03 1.447E-03 4.236E+00 3 3.53 5.00 3.974E-04 1.088E-01 1.037E-03 1.437E-03 2.598E-03 1.589E-03 4.359E+00 5 7.05 10.00 8.886E-05 3.209E-02 2.233E-04 2.995E-04 5.016E-04 1.953E-03 4.210E+00 7 10.58 15.00 2.422E-05 7.545E-03 5.301E-05 6.628E-05 9.808E-05 2.951E-03 3.913E+00 9 14.11 20.00 8.433E-06 1.598E-03 1.515E-05 1.735E-05 2.211E-05 5.656E-03 3.620E+00 11 17.64 25.00 3.535E-06 3.222E-04 5.383E-06 5.737E-06 6.431E-06 1.267E-02 3.440E+00 13 21.16 30.00 1.633E-06 6.431E-05 2.259E-06 2.315E-06 2.415E-06 2.902E-02 3.357E+00 15 24.69 35.00 7.862E-07 1.335E-05 1.039E-06 1.048E-06 1.062E-06 5.943E-02 3.322E+00 17 28.22 40.00 3.847E-07 3.109E-06 4.985E-07 4.998E-07 5.019E-07 9.798E-02 3.306E+00 19 31.74 45.00 1.895E-07 8.877E-07 2.433E-07 2.435E-07 2.438E-07 1.288E-01 3.299E+00 21 35.27 50.00 9.365E-08 3.193E-07 1.197E-07 1.197E-07 1.197E-07 1.456E-01 3.294E+00 Waveband 21 of 30 completed in 8.0 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 78.4 m at 615.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 610.0 nm to 620.0 nm: Ed(diffuse) = 3.486E-01 Ed(direct) = 9.845E-01 Ed(total) = 1.333E+00 Absorption Coefficients of Individual Components at 615.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2678 0.0245 0.0016 0.2939 3 3.537 5.000 0.2678 0.0245 0.0016 0.2939 5 7.074 10.000 0.2678 0.0245 0.0016 0.2939 7 10.611 15.000 0.2678 0.0245 0.0016 0.2939 9 14.148 20.000 0.2678 0.0245 0.0016 0.2939 11 17.685 25.000 0.2678 0.0245 0.0016 0.2939 13 21.223 30.000 0.2678 0.0245 0.0016 0.2939 15 24.760 35.000 0.2678 0.0245 0.0016 0.2939 17 28.297 40.000 0.2678 0.0245 0.0016 0.2939 19 31.834 45.000 0.2678 0.0245 0.0016 0.2939 21 35.371 50.000 0.2678 0.0245 0.0016 0.2939 Scattering Coefficients of Individual Components at 615.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0012 0.4123 0.0000 0.4135 3 3.537 5.000 0.0012 0.4123 0.0000 0.4135 5 7.074 10.000 0.0012 0.4123 0.0000 0.4135 7 10.611 15.000 0.0012 0.4123 0.0000 0.4135 9 14.148 20.000 0.0012 0.4123 0.0000 0.4135 11 17.685 25.000 0.0012 0.4123 0.0000 0.4135 13 21.223 30.000 0.0012 0.4123 0.0000 0.4135 15 24.760 35.000 0.0012 0.4123 0.0000 0.4135 17 28.297 40.000 0.0012 0.4123 0.0000 0.4135 19 31.834 45.000 0.0012 0.4123 0.0000 0.4135 21 35.371 50.000 0.0012 0.4123 0.0000 0.4135 Backscattering Coefficients of Individual Components at 615.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00059 0.00412 0.00000 0.00471 3 3.537 5.000 0.00059 0.00412 0.00000 0.00471 5 7.074 10.000 0.00059 0.00412 0.00000 0.00471 7 10.611 15.000 0.00059 0.00412 0.00000 0.00471 9 14.148 20.000 0.00059 0.00412 0.00000 0.00471 11 17.685 25.000 0.00059 0.00412 0.00000 0.00471 13 21.223 30.000 0.00059 0.00412 0.00000 0.00471 15 24.760 35.000 0.00059 0.00412 0.00000 0.00471 17 28.297 40.000 0.00059 0.00412 0.00000 0.00471 19 31.834 45.000 0.00059 0.00412 0.00000 0.00471 21 35.371 50.000 0.00059 0.00412 0.00000 0.00471 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 0.2939 0.4135 0.7074 0.5845 0.00471 0.01140 3 3.537 5.000 0.2939 0.4135 0.7074 0.5845 0.00471 0.01140 5 7.074 10.000 0.2939 0.4135 0.7074 0.5845 0.00471 0.01140 7 10.611 15.000 0.2939 0.4135 0.7074 0.5845 0.00471 0.01140 9 14.148 20.000 0.2939 0.4135 0.7074 0.5845 0.00471 0.01140 11 17.685 25.000 0.2939 0.4135 0.7074 0.5845 0.00471 0.01140 13 21.223 30.000 0.2939 0.4135 0.7074 0.5845 0.00471 0.01140 15 24.760 35.000 0.2939 0.4135 0.7074 0.5845 0.00471 0.01140 17 28.297 40.000 0.2939 0.4135 0.7074 0.5845 0.00471 0.01140 19 31.834 45.000 0.2939 0.4135 0.7074 0.5845 0.00471 0.01140 21 35.371 50.000 0.2939 0.4135 0.7074 0.5845 0.00471 0.01140 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.5324E-01 8 20.00 5.6196E-01 7 30.00 2.9970E-01 6 40.00 1.3974E-01 5 50.00 6.1682E-02 4 60.00 2.7655E-02 3 70.00 1.3237E-02 2 80.00 6.9613E-03 1 87.50 4.5601E-03 1 92.50 3.4985E-03 2 100.00 2.5349E-03 3 110.00 1.7879E-03 4 120.00 1.3708E-03 5 130.00 1.1352E-03 6 140.00 1.0012E-03 7 150.00 9.2571E-04 8 160.00 8.8456E-04 9 170.00 8.6435E-04 10 180.00 8.5740E-04 Asymptotic AOP values are MUu(inf) = 0.3732 MUd(inf) = 0.8532 MU(inf) = 0.8365 R(inf) = 0.0060 Lu(inf)/Ed(inf) = 0.001321 (1/sr) k(inf) = 0.3514 (1/m) absorp(check) = 0.2939 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 615.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.2829E-01 1.8420E+00 1.9703E+00 4.6873E-02 1.3331E+00 0.3654 0.7237 0.6528 3.5161E-02 1 0.00 0.00 1.8904E-02 1.4470E+00 1.4659E+00 7.4827E-03 1.2937E+00 0.3958 0.8941 0.8774 5.7839E-03 3 3.54 5.00 3.9492E-03 2.7054E-01 2.7449E-01 1.5178E-03 2.3262E-01 0.3843 0.8598 0.8419 6.5247E-03 5 7.07 10.00 7.9881E-04 4.7546E-02 4.8345E-02 3.1425E-04 4.0392E-02 0.3934 0.8495 0.8290 7.7799E-03 7 10.61 15.00 1.8679E-04 8.2466E-03 8.4334E-03 7.7618E-05 6.9566E-03 0.4155 0.8436 0.8157 1.1157E-02 9 14.15 20.00 5.5922E-05 1.4463E-03 1.5022E-03 2.4782E-05 1.2081E-03 0.4431 0.8353 0.7877 2.0512E-02 11 17.69 25.00 2.1285E-05 2.6578E-04 2.8707E-04 9.8692E-06 2.1683E-04 0.4637 0.8158 0.7209 4.5516E-02 13 21.22 30.00 9.3627E-06 5.4769E-05 6.4132E-05 4.4370E-06 4.2311E-05 0.4739 0.7725 0.5906 1.0487E-01 15 24.76 35.00 4.3940E-06 1.3983E-05 1.8377E-05 2.1007E-06 9.8361E-06 0.4781 0.7034 0.4209 2.1357E-01 17 28.30 40.00 2.1146E-06 4.6340E-06 6.7486E-06 1.0145E-06 2.9406E-06 0.4797 0.6346 0.2854 3.4498E-01 19 31.83 45.00 1.0277E-06 1.8874E-06 2.9151E-06 4.9372E-07 1.1169E-06 0.4804 0.5918 0.2138 4.4204E-01 21 35.37 50.00 5.0156E-07 8.5782E-07 1.3594E-06 2.4114E-07 4.9098E-07 0.4808 0.5724 0.1838 4.9114E-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 0.25920 0.31320 0.31250 0.29479 0.33449 0.33472 0.32020 5.000 5.010 5.005 0.32504 0.34447 0.34419 0.32375 0.34806 0.34822 0.32113 10.000 10.010 10.005 0.30996 0.34989 0.34923 0.30198 0.35152 0.35191 0.28973 15.000 15.010 15.005 0.26770 0.35011 0.34828 0.25442 0.35153 0.35263 0.23698 20.000 20.010 20.005 0.21494 0.34506 0.34021 0.20328 0.34795 0.35098 0.18992 25.000 25.010 25.005 0.17554 0.33030 0.31882 0.16910 0.33750 0.34554 0.16233 30.000 30.010 30.005 0.15602 0.29785 0.27713 0.15328 0.31296 0.33168 0.15046 35.000 35.010 35.005 0.14811 0.24703 0.22337 0.14704 0.26847 0.30147 0.14588 40.000 40.010 40.005 0.14506 0.19685 0.18062 0.14463 0.21498 0.25206 0.14411 45.000 45.010 45.005 0.14384 0.16579 0.15805 0.14363 0.17563 0.20098 0.14333 50.000 50.010 50.005 0.14322 0.15162 0.14852 0.14310 0.15577 0.16800 0.14289 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 9.40678E-02 9.50411E-04 7.40839E-03 8.35880E-03 7.12929E-04 0.078756 9 1 10.0 0.0 180.0 5.80437E-02 9.77340E-04 2.14110E-03 3.11844E-03 7.33129E-04 0.036888 9 4 10.0 45.0 135.0 6.37743E-02 9.68833E-04 2.49030E-03 3.45913E-03 7.26748E-04 0.039049 9 7 10.0 90.0 90.0 8.61644E-02 9.56924E-04 5.30490E-03 6.26183E-03 7.17814E-04 0.061567 8 1 20.0 0.0 180.0 4.55925E-02 9.92642E-04 1.11611E-03 2.10875E-03 7.44607E-04 0.024480 8 4 20.0 45.0 135.0 5.07567E-02 9.75310E-04 1.31899E-03 2.29430E-03 7.31606E-04 0.025986 8 7 20.0 90.0 90.0 7.46354E-02 9.58464E-04 3.06243E-03 4.02089E-03 7.18969E-04 0.041032 7 1 30.0 0.0 180.0 3.95312E-02 1.01168E-03 9.51604E-04 1.96328E-03 7.58886E-04 0.024072 7 4 30.0 45.0 135.0 4.38298E-02 9.99813E-04 1.06931E-03 2.06912E-03 7.49986E-04 0.024397 7 7 30.0 90.0 90.0 6.38979E-02 9.73101E-04 1.86611E-03 2.83921E-03 7.29949E-04 0.029205 6 1 40.0 0.0 180.0 3.75225E-02 1.02504E-03 1.05807E-03 2.08311E-03 7.68910E-04 0.028198 6 4 40.0 45.0 135.0 4.10289E-02 1.00886E-03 1.14754E-03 2.15641E-03 7.56774E-04 0.027969 6 7 40.0 90.0 90.0 5.76039E-02 9.80155E-04 1.66399E-03 2.64414E-03 7.35241E-04 0.028887 5 1 50.0 0.0 180.0 3.93411E-02 1.04177E-03 1.67139E-03 2.71316E-03 7.81461E-04 0.042485 5 4 50.0 45.0 135.0 4.19233E-02 1.01859E-03 1.74128E-03 2.75987E-03 7.64072E-04 0.041535 5 7 50.0 90.0 90.0 5.57265E-02 9.92345E-04 2.25115E-03 3.24350E-03 7.44385E-04 0.040396 4 1 60.0 0.0 180.0 4.66985E-02 1.03002E-03 3.89357E-03 4.92359E-03 7.72648E-04 0.083377 4 4 60.0 45.0 135.0 4.77554E-02 1.00500E-03 3.84482E-03 4.84982E-03 7.53875E-04 0.080511 4 7 60.0 90.0 90.0 5.89717E-02 9.93950E-04 4.48988E-03 5.48383E-03 7.45589E-04 0.076136 3 1 70.0 0.0 180.0 6.47946E-02 9.59333E-04 1.07551E-02 1.17144E-02 7.19621E-04 0.165987 3 4 70.0 45.0 135.0 6.29709E-02 9.46490E-04 1.03484E-02 1.12949E-02 7.09987E-04 0.164336 3 7 70.0 90.0 90.0 7.03999E-02 9.42060E-04 1.12534E-02 1.21954E-02 7.06664E-04 0.159849 2 1 80.0 0.0 180.0 1.10087E-01 8.25061E-04 2.67339E-02 2.75589E-02 6.18900E-04 0.242843 2 4 80.0 45.0 135.0 1.01938E-01 8.12667E-04 2.58572E-02 2.66699E-02 6.09603E-04 0.253655 2 7 80.0 90.0 90.0 1.01277E-01 8.14615E-04 2.70795E-02 2.78941E-02 6.11064E-04 0.267382 1 1 87.5 0.0 180.0 1.77990E-01 6.68041E-04 4.71489E-02 4.78170E-02 5.01115E-04 0.264896 1 4 87.5 45.0 135.0 1.60258E-01 6.27369E-04 4.68578E-02 4.74852E-02 4.70606E-04 0.292389 1 7 87.5 90.0 90.0 1.45800E-01 7.01744E-04 4.79559E-02 4.86576E-02 5.26397E-04 0.328916 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 8.359E-03 9.407E-02 1.129E-01 9.723E-02 1.460E-01 6.270E-03 5.608E+00 9.504E-04 7.129E-04 1 0.00 0.00 1.764E-03 1.750E-01 4.006E-03 4.990E-03 7.896E-03 1.363E-03 4.243E+00 3 3.54 5.00 3.483E-04 1.006E-01 9.097E-04 1.263E-03 2.292E-03 1.497E-03 4.358E+00 5 7.07 10.00 7.487E-05 2.845E-02 1.870E-04 2.512E-04 4.215E-04 1.854E-03 4.197E+00 7 10.61 15.00 1.998E-05 6.425E-03 4.293E-05 5.358E-05 7.915E-05 2.873E-03 3.884E+00 9 14.15 20.00 6.904E-06 1.307E-03 1.209E-05 1.378E-05 1.744E-05 5.715E-03 3.589E+00 11 17.69 25.00 2.889E-06 2.529E-04 4.295E-06 4.555E-06 5.065E-06 1.332E-02 3.416E+00 13 21.22 30.00 1.328E-06 4.858E-05 1.806E-06 1.845E-06 1.915E-06 3.139E-02 3.340E+00 15 24.76 35.00 6.346E-07 9.806E-06 8.291E-07 8.349E-07 8.445E-07 6.452E-02 3.310E+00 17 28.30 40.00 3.076E-07 2.253E-06 3.951E-07 3.959E-07 3.973E-07 1.046E-01 3.297E+00 19 31.83 45.00 1.500E-07 6.485E-07 1.912E-07 1.913E-07 1.915E-07 1.343E-01 3.291E+00 21 35.37 50.00 7.335E-08 2.372E-07 9.311E-08 9.313E-08 9.315E-08 1.494E-01 3.287E+00 Waveband 22 of 30 completed in 8.1 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 77.8 m at 625.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 620.0 nm to 630.0 nm: Ed(diffuse) = 3.421E-01 Ed(direct) = 9.764E-01 Ed(total) = 1.319E+00 Absorption Coefficients of Individual Components at 625.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2834 0.0273 0.0014 0.3121 3 3.595 5.000 0.2834 0.0273 0.0014 0.3121 5 7.190 10.000 0.2834 0.0273 0.0014 0.3121 7 10.784 15.000 0.2834 0.0273 0.0014 0.3121 9 14.379 20.000 0.2834 0.0273 0.0014 0.3121 11 17.974 25.000 0.2834 0.0273 0.0014 0.3121 13 21.569 30.000 0.2834 0.0273 0.0014 0.3121 15 25.163 35.000 0.2834 0.0273 0.0014 0.3121 17 28.758 40.000 0.2834 0.0273 0.0014 0.3121 19 32.353 45.000 0.2834 0.0273 0.0014 0.3121 21 35.948 50.000 0.2834 0.0273 0.0014 0.3121 Scattering Coefficients of Individual Components at 625.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0011 0.4057 0.0000 0.4068 3 3.595 5.000 0.0011 0.4057 0.0000 0.4068 5 7.190 10.000 0.0011 0.4057 0.0000 0.4068 7 10.784 15.000 0.0011 0.4057 0.0000 0.4068 9 14.379 20.000 0.0011 0.4057 0.0000 0.4068 11 17.974 25.000 0.0011 0.4057 0.0000 0.4068 13 21.569 30.000 0.0011 0.4057 0.0000 0.4068 15 25.163 35.000 0.0011 0.4057 0.0000 0.4068 17 28.758 40.000 0.0011 0.4057 0.0000 0.4068 19 32.353 45.000 0.0011 0.4057 0.0000 0.4068 21 35.948 50.000 0.0011 0.4057 0.0000 0.4068 Backscattering Coefficients of Individual Components at 625.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00055 0.00406 0.00000 0.00461 3 3.595 5.000 0.00055 0.00406 0.00000 0.00461 5 7.190 10.000 0.00055 0.00406 0.00000 0.00461 7 10.784 15.000 0.00055 0.00406 0.00000 0.00461 9 14.379 20.000 0.00055 0.00406 0.00000 0.00461 11 17.974 25.000 0.00055 0.00406 0.00000 0.00461 13 21.569 30.000 0.00055 0.00406 0.00000 0.00461 15 25.163 35.000 0.00055 0.00406 0.00000 0.00461 17 28.758 40.000 0.00055 0.00406 0.00000 0.00461 19 32.353 45.000 0.00055 0.00406 0.00000 0.00461 21 35.948 50.000 0.00055 0.00406 0.00000 0.00461 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 0.3121 0.4068 0.7190 0.5659 0.00461 0.01133 3 3.595 5.000 0.3121 0.4068 0.7190 0.5659 0.00461 0.01133 5 7.190 10.000 0.3121 0.4068 0.7190 0.5659 0.00461 0.01133 7 10.784 15.000 0.3121 0.4068 0.7190 0.5659 0.00461 0.01133 9 14.379 20.000 0.3121 0.4068 0.7190 0.5659 0.00461 0.01133 11 17.974 25.000 0.3121 0.4068 0.7190 0.5659 0.00461 0.01133 13 21.569 30.000 0.3121 0.4068 0.7190 0.5659 0.00461 0.01133 15 25.163 35.000 0.3121 0.4068 0.7190 0.5659 0.00461 0.01133 17 28.758 40.000 0.3121 0.4068 0.7190 0.5659 0.00461 0.01133 19 32.353 45.000 0.3121 0.4068 0.7190 0.5659 0.00461 0.01133 21 35.948 50.000 0.3121 0.4068 0.7190 0.5659 0.00461 0.01133 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.4629E-01 8 20.00 5.4603E-01 7 30.00 2.8324E-01 6 40.00 1.2837E-01 5 50.00 5.5324E-02 4 60.00 2.4399E-02 3 70.00 1.1571E-02 2 80.00 6.0589E-03 1 87.50 3.9642E-03 1 92.50 3.0431E-03 2 100.00 2.2056E-03 3 110.00 1.5568E-03 4 120.00 1.1953E-03 5 130.00 9.9165E-04 6 140.00 8.7626E-04 7 150.00 8.1151E-04 8 160.00 7.7644E-04 9 170.00 7.5931E-04 10 180.00 7.5344E-04 Asymptotic AOP values are MUu(inf) = 0.3740 MUd(inf) = 0.8587 MU(inf) = 0.8434 R(inf) = 0.0055 Lu(inf)/Ed(inf) = 0.001210 (1/sr) k(inf) = 0.3701 (1/m) absorp(check) = 0.3121 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 625.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.2575E-01 1.8196E+00 1.9453E+00 4.6000E-02 1.3185E+00 0.3658 0.7246 0.6541 3.4887E-02 1 0.00 0.00 1.7173E-02 1.4298E+00 1.4469E+00 6.7787E-03 1.2793E+00 0.3947 0.8948 0.8795 5.2987E-03 3 3.59 5.00 3.2416E-03 2.4134E-01 2.4458E-01 1.2465E-03 2.0817E-01 0.3845 0.8626 0.8460 5.9879E-03 5 7.19 10.00 6.0568E-04 3.8394E-02 3.9000E-02 2.3984E-04 3.2757E-02 0.3960 0.8532 0.8338 7.3218E-03 7 10.78 15.00 1.3713E-04 6.0462E-03 6.1833E-03 5.7876E-05 5.1229E-03 0.4221 0.8473 0.8191 1.1297E-02 9 14.38 20.00 4.2002E-05 9.6933E-04 1.0113E-03 1.8968E-05 8.1153E-04 0.4516 0.8372 0.7837 2.3372E-02 11 17.97 25.00 1.6573E-05 1.6618E-04 1.8276E-04 7.7900E-06 1.3474E-04 0.4700 0.8108 0.6946 5.7817E-02 13 21.57 30.00 7.4428E-06 3.3593E-05 4.1036E-05 3.5567E-06 2.5284E-05 0.4779 0.7526 0.5295 1.4067E-01 15 25.16 35.00 3.5127E-06 9.0050E-06 1.2518E-05 1.6885E-06 6.0454E-06 0.4807 0.6713 0.3481 2.7931E-01 17 28.76 40.00 1.6866E-06 3.2324E-06 4.9190E-06 8.1250E-07 1.9635E-06 0.4817 0.6075 0.2340 4.1379E-01 19 32.35 45.00 8.1475E-07 1.3897E-06 2.2045E-06 3.9281E-07 8.0071E-07 0.4821 0.5762 0.1850 4.9058E-01 21 35.95 50.00 3.9462E-07 6.4597E-07 1.0406E-06 1.9035E-07 3.6453E-07 0.4824 0.5643 0.1674 5.2218E-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 0.27973 0.33375 0.33311 0.31510 0.35448 0.35469 0.34000 5.000 5.010 5.005 0.34375 0.36463 0.36435 0.34169 0.36790 0.36806 0.33784 10.000 10.010 10.005 0.32205 0.36956 0.36882 0.31236 0.37106 0.37149 0.29775 15.000 15.010 15.005 0.26853 0.36899 0.36676 0.25385 0.37053 0.37187 0.23505 20.000 20.010 20.005 0.20755 0.36168 0.35527 0.19638 0.36543 0.36948 0.18406 25.000 25.010 25.005 0.16959 0.34035 0.32485 0.16439 0.35032 0.36174 0.15908 30.000 30.010 30.005 0.15362 0.29450 0.26893 0.15170 0.31448 0.34115 0.14974 35.000 35.010 35.005 0.14799 0.23149 0.20805 0.14728 0.25507 0.29688 0.14653 40.000 40.010 40.005 0.14596 0.18248 0.16996 0.14568 0.19777 0.23455 0.14533 45.000 45.010 45.005 0.14523 0.15854 0.15362 0.14510 0.16513 0.18443 0.14490 50.000 50.010 50.005 0.14486 0.14937 0.14766 0.14476 0.15174 0.15937 0.14461 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 9.23208E-02 8.60104E-04 7.32262E-03 8.18272E-03 6.52323E-04 0.079317 9 1 10.0 0.0 180.0 5.69657E-02 8.84690E-04 2.10829E-03 2.99298E-03 6.70969E-04 0.037010 9 4 10.0 45.0 135.0 6.25899E-02 8.76907E-04 2.45300E-03 3.32991E-03 6.65067E-04 0.039192 9 7 10.0 90.0 90.0 8.45642E-02 8.65937E-04 5.23844E-03 6.10438E-03 6.56747E-04 0.061946 8 1 20.0 0.0 180.0 4.47458E-02 8.98610E-04 1.09573E-03 1.99434E-03 6.81527E-04 0.024488 8 4 20.0 45.0 135.0 4.98141E-02 8.82777E-04 1.29540E-03 2.17818E-03 6.69519E-04 0.026005 8 7 20.0 90.0 90.0 7.32493E-02 8.67217E-04 3.01775E-03 3.88496E-03 6.57718E-04 0.041198 7 1 30.0 0.0 180.0 3.87970E-02 9.15863E-04 9.33930E-04 1.84979E-03 6.94612E-04 0.024072 7 4 30.0 45.0 135.0 4.30160E-02 9.04921E-04 1.04950E-03 1.95442E-03 6.86313E-04 0.024398 7 7 30.0 90.0 90.0 6.27096E-02 8.80320E-04 1.83385E-03 2.71417E-03 6.67656E-04 0.029244 6 1 40.0 0.0 180.0 3.68257E-02 9.27900E-04 1.03842E-03 1.96632E-03 7.03741E-04 0.028198 6 4 40.0 45.0 135.0 4.02669E-02 9.12990E-04 1.12623E-03 2.03922E-03 6.92433E-04 0.027969 6 7 40.0 90.0 90.0 5.65341E-02 8.86491E-04 1.63324E-03 2.51973E-03 6.72336E-04 0.028890 5 1 50.0 0.0 180.0 3.86105E-02 9.42939E-04 1.64035E-03 2.58329E-03 7.15147E-04 0.042485 5 4 50.0 45.0 135.0 4.11447E-02 9.21660E-04 1.70894E-03 2.63060E-03 6.99008E-04 0.041535 5 7 50.0 90.0 90.0 5.46915E-02 8.97373E-04 2.20934E-03 3.10672E-03 6.80588E-04 0.040396 4 1 60.0 0.0 180.0 4.58313E-02 9.32191E-04 3.82126E-03 4.75345E-03 7.06996E-04 0.083377 4 4 60.0 45.0 135.0 4.68685E-02 9.09230E-04 3.77342E-03 4.68265E-03 6.89582E-04 0.080511 4 7 60.0 90.0 90.0 5.78765E-02 8.98717E-04 4.40650E-03 5.30522E-03 6.81608E-04 0.076136 3 1 70.0 0.0 180.0 6.35912E-02 8.68108E-04 1.05553E-02 1.14234E-02 6.58394E-04 0.165987 3 4 70.0 45.0 135.0 6.18014E-02 8.56200E-04 1.01562E-02 1.10124E-02 6.49362E-04 0.164336 3 7 70.0 90.0 90.0 6.90925E-02 8.51792E-04 1.10444E-02 1.18962E-02 6.46019E-04 0.159849 2 1 80.0 0.0 180.0 1.08042E-01 7.46540E-04 2.62374E-02 2.69839E-02 5.66194E-04 0.242843 2 4 80.0 45.0 135.0 1.00045E-01 7.35094E-04 2.53770E-02 2.61121E-02 5.57513E-04 0.253655 2 7 80.0 90.0 90.0 9.93957E-02 7.36608E-04 2.65766E-02 2.73132E-02 5.58661E-04 0.267382 1 1 87.5 0.0 180.0 1.74685E-01 6.04447E-04 4.62733E-02 4.68777E-02 4.58427E-04 0.264896 1 4 87.5 45.0 135.0 1.57282E-01 5.67491E-04 4.59876E-02 4.65551E-02 4.30399E-04 0.292389 1 7 87.5 90.0 90.0 1.43092E-01 6.34673E-04 4.70653E-02 4.76999E-02 4.81351E-04 0.328916 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 8.183E-03 9.232E-02 1.108E-01 9.540E-02 1.433E-01 6.206E-03 5.622E+00 8.601E-04 6.523E-04 1 0.00 0.00 1.596E-03 1.717E-01 3.657E-03 4.565E-03 7.260E-03 1.248E-03 4.247E+00 3 3.59 5.00 2.871E-04 8.977E-02 7.461E-04 1.038E-03 1.887E-03 1.379E-03 4.342E+00 5 7.19 10.00 5.788E-05 2.322E-02 1.408E-04 1.884E-04 3.150E-04 1.767E-03 4.144E+00 7 10.78 15.00 1.525E-05 4.795E-03 3.087E-05 3.801E-05 5.517E-05 2.978E-03 3.794E+00 9 14.38 20.00 5.416E-06 8.926E-04 8.779E-06 9.802E-06 1.203E-05 6.674E-03 3.502E+00 11 17.97 25.00 2.320E-06 1.587E-04 3.240E-06 3.383E-06 3.664E-06 1.722E-02 3.357E+00 13 21.57 30.00 1.077E-06 2.835E-05 1.403E-06 1.423E-06 1.458E-06 4.260E-02 3.302E+00 15 25.16 35.00 5.145E-07 5.501E-06 6.522E-07 6.548E-07 6.592E-07 8.510E-02 3.282E+00 17 28.76 40.00 2.482E-07 1.304E-06 3.112E-07 3.116E-07 3.121E-07 1.264E-01 3.274E+00 19 32.35 45.00 1.201E-07 4.110E-07 1.500E-07 1.500E-07 1.501E-07 1.500E-01 3.270E+00 21 35.95 50.00 5.826E-08 1.637E-07 7.255E-08 7.255E-08 7.256E-08 1.598E-01 3.267E+00 Waveband 23 of 30 completed in 8.3 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 77.3 m at 635.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 630.0 nm to 640.0 nm: Ed(diffuse) = 3.354E-01 Ed(direct) = 9.668E-01 Ed(total) = 1.302E+00 Absorption Coefficients of Individual Components at 635.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3012 0.0311 0.0012 0.3335 3 3.669 5.000 0.3012 0.0311 0.0012 0.3335 5 7.339 10.000 0.3012 0.0311 0.0012 0.3335 7 11.008 15.000 0.3012 0.0311 0.0012 0.3335 9 14.677 20.000 0.3012 0.0311 0.0012 0.3335 11 18.347 25.000 0.3012 0.0311 0.0012 0.3335 13 22.016 30.000 0.3012 0.0311 0.0012 0.3335 15 25.686 35.000 0.3012 0.0311 0.0012 0.3335 17 29.355 40.000 0.3012 0.0311 0.0012 0.3335 19 33.024 45.000 0.3012 0.0311 0.0012 0.3335 21 36.694 50.000 0.3012 0.0311 0.0012 0.3335 Scattering Coefficients of Individual Components at 635.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0010 0.3993 0.0000 0.4004 3 3.669 5.000 0.0010 0.3993 0.0000 0.4004 5 7.339 10.000 0.0010 0.3993 0.0000 0.4004 7 11.008 15.000 0.0010 0.3993 0.0000 0.4004 9 14.677 20.000 0.0010 0.3993 0.0000 0.4004 11 18.347 25.000 0.0010 0.3993 0.0000 0.4004 13 22.016 30.000 0.0010 0.3993 0.0000 0.4004 15 25.686 35.000 0.0010 0.3993 0.0000 0.4004 17 29.355 40.000 0.0010 0.3993 0.0000 0.4004 19 33.024 45.000 0.0010 0.3993 0.0000 0.4004 21 36.694 50.000 0.0010 0.3993 0.0000 0.4004 Backscattering Coefficients of Individual Components at 635.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00051 0.00399 0.00000 0.00451 3 3.669 5.000 0.00051 0.00399 0.00000 0.00451 5 7.339 10.000 0.00051 0.00399 0.00000 0.00451 7 11.008 15.000 0.00051 0.00399 0.00000 0.00451 9 14.677 20.000 0.00051 0.00399 0.00000 0.00451 11 18.347 25.000 0.00051 0.00399 0.00000 0.00451 13 22.016 30.000 0.00051 0.00399 0.00000 0.00451 15 25.686 35.000 0.00051 0.00399 0.00000 0.00451 17 29.355 40.000 0.00051 0.00399 0.00000 0.00451 19 33.024 45.000 0.00051 0.00399 0.00000 0.00451 21 36.694 50.000 0.00051 0.00399 0.00000 0.00451 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 0.3335 0.4004 0.7339 0.5456 0.00451 0.01126 3 3.669 5.000 0.3335 0.4004 0.7339 0.5456 0.00451 0.01126 5 7.339 10.000 0.3335 0.4004 0.7339 0.5456 0.00451 0.01126 7 11.008 15.000 0.3335 0.4004 0.7339 0.5456 0.00451 0.01126 9 14.677 20.000 0.3335 0.4004 0.7339 0.5456 0.00451 0.01126 11 18.347 25.000 0.3335 0.4004 0.7339 0.5456 0.00451 0.01126 13 22.016 30.000 0.3335 0.4004 0.7339 0.5456 0.00451 0.01126 15 25.686 35.000 0.3335 0.4004 0.7339 0.5456 0.00451 0.01126 17 29.355 40.000 0.3335 0.4004 0.7339 0.5456 0.00451 0.01126 19 33.024 45.000 0.3335 0.4004 0.7339 0.5456 0.00451 0.01126 21 36.694 50.000 0.3335 0.4004 0.7339 0.5456 0.00451 0.01126 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.3842E-01 8 20.00 5.2847E-01 7 30.00 2.6576E-01 6 40.00 1.1674E-01 5 50.00 4.9044E-02 4 60.00 2.1265E-02 3 70.00 9.9944E-03 2 80.00 5.2135E-03 1 87.50 3.4081E-03 1 92.50 2.6184E-03 2 100.00 1.8988E-03 3 110.00 1.3416E-03 4 120.00 1.0318E-03 5 130.00 8.5776E-04 6 140.00 7.5951E-04 7 150.00 7.0467E-04 8 160.00 6.7517E-04 9 170.00 6.6085E-04 10 180.00 6.5595E-04 Asymptotic AOP values are MUu(inf) = 0.3748 MUd(inf) = 0.8645 MU(inf) = 0.8505 R(inf) = 0.0050 Lu(inf)/Ed(inf) = 0.001103 (1/sr) k(inf) = 0.3922 (1/m) absorp(check) = 0.3335 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 635.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.2313E-01 1.7950E+00 1.9181E+00 4.5092E-02 1.3022E+00 0.3662 0.7255 0.6554 3.4627E-02 1 0.00 0.00 1.5503E-02 1.4108E+00 1.4263E+00 6.1042E-03 1.2633E+00 0.3937 0.8954 0.8814 4.8321E-03 3 3.67 5.00 2.6090E-03 2.1123E-01 2.1384E-01 1.0056E-03 1.8279E-01 0.3855 0.8654 0.8501 5.5015E-03 5 7.34 10.00 4.5268E-04 2.9905E-02 3.0358E-02 1.8168E-04 2.5624E-02 0.4013 0.8568 0.8381 7.0903E-03 7 11.01 15.00 1.0390E-04 4.2112E-03 4.3151E-03 4.5086E-05 3.5812E-03 0.4339 0.8504 0.8195 1.2590E-02 9 14.68 20.00 3.4744E-05 6.1292E-04 6.4767E-04 1.6115E-05 5.1210E-04 0.4638 0.8355 0.7658 3.1469E-02 11 18.35 25.00 1.4886E-05 1.0020E-04 1.1509E-04 7.1170E-06 7.9445E-05 0.4781 0.7928 0.6284 8.9584E-02 13 22.02 30.00 7.0348E-06 2.1531E-05 2.8565E-05 3.3974E-06 1.5258E-05 0.4829 0.7087 0.4152 2.2266E-01 15 25.69 35.00 3.4270E-06 6.7600E-06 1.0187E-05 1.6602E-06 4.2099E-06 0.4844 0.6228 0.2503 3.9436E-01 17 29.35 40.00 1.6845E-06 2.7985E-06 4.4830E-06 8.1693E-07 1.6157E-06 0.4850 0.5773 0.1782 5.0564E-01 19 33.02 45.00 8.3047E-07 1.3061E-06 2.1365E-06 4.0295E-07 7.3291E-07 0.4852 0.5612 0.1544 5.4980E-01 21 36.69 50.00 4.1001E-07 6.3433E-07 1.0443E-06 1.9901E-07 3.5286E-07 0.4854 0.5563 0.1473 5.6399E-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 0.30359 0.35787 0.35728 0.33863 0.37799 0.37818 0.36275 5.000 5.010 5.005 0.36403 0.38827 0.38797 0.36062 0.39122 0.39139 0.35456 10.000 10.010 10.005 0.32954 0.39252 0.39158 0.31678 0.39395 0.39450 0.29800 15.000 15.010 15.005 0.25599 0.39042 0.38718 0.23958 0.39240 0.39435 0.21965 20.000 20.010 20.005 0.18847 0.37781 0.36765 0.17899 0.38375 0.39041 0.16900 25.000 25.010 25.005 0.15648 0.34079 0.31693 0.15304 0.35706 0.37715 0.14959 30.000 30.010 30.005 0.14586 0.26954 0.23906 0.14479 0.29673 0.34030 0.14367 35.000 35.010 35.005 0.14271 0.19790 0.17933 0.14236 0.21949 0.26975 0.14192 40.000 40.010 40.005 0.14171 0.16031 0.15332 0.14158 0.16965 0.19838 0.14134 45.000 45.010 45.005 0.14133 0.14689 0.14473 0.14124 0.14993 0.16054 0.14107 50.000 50.010 50.005 0.14109 0.14271 0.14207 0.14102 0.14361 0.14697 0.14087 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 9.05048E-02 7.74191E-04 7.22775E-03 8.00194E-03 5.94505E-04 0.079860 9 1 10.0 0.0 180.0 5.58452E-02 7.96493E-04 2.07342E-03 2.86991E-03 6.11631E-04 0.037128 9 4 10.0 45.0 135.0 6.13587E-02 7.89416E-04 2.41324E-03 3.20266E-03 6.06197E-04 0.039330 9 7 10.0 90.0 90.0 8.29008E-02 7.79375E-04 5.16582E-03 5.94519E-03 5.98486E-04 0.062313 8 1 20.0 0.0 180.0 4.38656E-02 8.09061E-04 1.07451E-03 1.88357E-03 6.21282E-04 0.024496 8 4 20.0 45.0 135.0 4.88342E-02 7.94683E-04 1.27079E-03 2.06547E-03 6.10242E-04 0.026022 8 7 20.0 90.0 90.0 7.18084E-02 7.80404E-04 2.96995E-03 3.75036E-03 5.99276E-04 0.041359 7 1 30.0 0.0 180.0 3.80338E-02 8.24581E-04 9.15559E-04 1.74014E-03 6.33200E-04 0.024072 7 4 30.0 45.0 135.0 4.21701E-02 8.14555E-04 1.02889E-03 1.84345E-03 6.25502E-04 0.024399 7 7 30.0 90.0 90.0 6.14745E-02 7.92039E-04 1.80005E-03 2.59209E-03 6.08211E-04 0.029281 6 1 40.0 0.0 180.0 3.61013E-02 8.35313E-04 1.01799E-03 1.85330E-03 6.41441E-04 0.028198 6 4 40.0 45.0 135.0 3.94748E-02 8.21661E-04 1.10408E-03 1.92574E-03 6.30958E-04 0.027969 6 7 40.0 90.0 90.0 5.54220E-02 7.97346E-04 1.60126E-03 2.39861E-03 6.12286E-04 0.028892 5 1 50.0 0.0 180.0 3.78510E-02 8.48707E-04 1.60808E-03 2.45679E-03 6.51727E-04 0.042485 5 4 50.0 45.0 135.0 4.03354E-02 8.29293E-04 1.67533E-03 2.50462E-03 6.36819E-04 0.041535 5 7 50.0 90.0 90.0 5.36157E-02 8.06943E-04 2.16588E-03 2.97283E-03 6.19656E-04 0.040396 4 1 60.0 0.0 180.0 4.49297E-02 8.38882E-04 3.74609E-03 4.58497E-03 6.44182E-04 0.083377 4 4 60.0 45.0 135.0 4.59466E-02 8.17942E-04 3.69919E-03 4.51713E-03 6.28102E-04 0.080511 4 7 60.0 90.0 90.0 5.67380E-02 8.07990E-04 4.31982E-03 5.12781E-03 6.20460E-04 0.076136 3 1 70.0 0.0 180.0 6.23404E-02 7.81065E-04 1.03477E-02 1.11288E-02 5.99784E-04 0.165987 3 4 70.0 45.0 135.0 6.05857E-02 7.70090E-04 9.95640E-03 1.07265E-02 5.91357E-04 0.164336 3 7 70.0 90.0 90.0 6.77334E-02 7.65720E-04 1.08271E-02 1.15928E-02 5.88001E-04 0.159849 2 1 80.0 0.0 180.0 1.05917E-01 6.71587E-04 2.57213E-02 2.63929E-02 5.15716E-04 0.242843 2 4 80.0 45.0 135.0 9.80772E-02 6.61074E-04 2.48778E-02 2.55389E-02 5.07643E-04 0.253655 2 7 80.0 90.0 90.0 9.74406E-02 6.62160E-04 2.60538E-02 2.67160E-02 5.08477E-04 0.267382 1 1 87.5 0.0 180.0 1.71249E-01 5.43711E-04 4.53631E-02 4.59068E-02 4.17518E-04 0.264896 1 4 87.5 45.0 135.0 1.54188E-01 5.10320E-04 4.50830E-02 4.55933E-02 3.91877E-04 0.292389 1 7 87.5 90.0 90.0 1.40277E-01 5.70588E-04 4.61395E-02 4.67101E-02 4.38158E-04 0.328916 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 8.002E-03 9.050E-02 1.086E-01 9.349E-02 1.404E-01 6.145E-03 5.635E+00 7.742E-04 5.945E-04 1 0.00 0.00 1.437E-03 1.684E-01 3.318E-03 4.154E-03 6.636E-03 1.137E-03 4.249E+00 3 3.67 5.00 2.332E-04 7.875E-02 5.988E-04 8.335E-04 1.517E-03 1.276E-03 4.312E+00 5 7.34 10.00 4.489E-05 1.831E-02 1.037E-04 1.375E-04 2.274E-04 1.752E-03 4.047E+00 7 11.01 15.00 1.236E-05 3.403E-03 2.248E-05 2.698E-05 3.780E-05 3.451E-03 3.648E+00 9 14.68 20.00 4.762E-06 5.715E-04 6.890E-06 7.464E-06 8.711E-06 9.299E-03 3.384E+00 11 18.35 25.00 2.169E-06 9.257E-05 2.789E-06 2.861E-06 3.001E-06 2.730E-02 3.281E+00 13 22.02 30.00 1.046E-06 1.560E-05 1.287E-06 1.296E-06 1.312E-06 6.854E-02 3.249E+00 15 25.69 35.00 5.128E-07 3.125E-06 6.219E-07 6.230E-07 6.247E-07 1.218E-01 3.238E+00 17 29.35 40.00 2.527E-07 8.649E-07 3.048E-07 3.049E-07 3.051E-07 1.564E-01 3.233E+00 19 33.02 45.00 1.248E-07 3.284E-07 1.500E-07 1.501E-07 1.501E-07 1.702E-01 3.230E+00 21 36.69 50.00 6.166E-08 1.480E-07 7.401E-08 7.401E-08 7.402E-08 1.747E-01 3.228E+00 Waveband 24 of 30 completed in 8.7 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 76.7 m at 645.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 640.0 nm to 650.0 nm: Ed(diffuse) = 3.226E-01 Ed(direct) = 9.388E-01 Ed(total) = 1.261E+00 Absorption Coefficients of Individual Components at 645.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3250 0.0301 0.0011 0.3562 3 3.752 5.000 0.3250 0.0301 0.0011 0.3562 5 7.503 10.000 0.3250 0.0301 0.0011 0.3562 7 11.255 15.000 0.3250 0.0301 0.0011 0.3562 9 15.006 20.000 0.3250 0.0301 0.0011 0.3562 11 18.758 25.000 0.3250 0.0301 0.0011 0.3562 13 22.509 30.000 0.3250 0.0301 0.0011 0.3562 15 26.261 35.000 0.3250 0.0301 0.0011 0.3562 17 30.012 40.000 0.3250 0.0301 0.0011 0.3562 19 33.764 45.000 0.3250 0.0301 0.0011 0.3562 21 37.516 50.000 0.3250 0.0301 0.0011 0.3562 Scattering Coefficients of Individual Components at 645.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0010 0.3932 0.0000 0.3941 3 3.752 5.000 0.0010 0.3932 0.0000 0.3941 5 7.503 10.000 0.0010 0.3932 0.0000 0.3941 7 11.255 15.000 0.0010 0.3932 0.0000 0.3941 9 15.006 20.000 0.0010 0.3932 0.0000 0.3941 11 18.758 25.000 0.0010 0.3932 0.0000 0.3941 13 22.509 30.000 0.0010 0.3932 0.0000 0.3941 15 26.261 35.000 0.0010 0.3932 0.0000 0.3941 17 30.012 40.000 0.0010 0.3932 0.0000 0.3941 19 33.764 45.000 0.0010 0.3932 0.0000 0.3941 21 37.516 50.000 0.0010 0.3932 0.0000 0.3941 Backscattering Coefficients of Individual Components at 645.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00048 0.00393 0.00000 0.00441 3 3.752 5.000 0.00048 0.00393 0.00000 0.00441 5 7.503 10.000 0.00048 0.00393 0.00000 0.00441 7 11.255 15.000 0.00048 0.00393 0.00000 0.00441 9 15.006 20.000 0.00048 0.00393 0.00000 0.00441 11 18.758 25.000 0.00048 0.00393 0.00000 0.00441 13 22.509 30.000 0.00048 0.00393 0.00000 0.00441 15 26.261 35.000 0.00048 0.00393 0.00000 0.00441 17 30.012 40.000 0.00048 0.00393 0.00000 0.00441 19 33.764 45.000 0.00048 0.00393 0.00000 0.00441 21 37.516 50.000 0.00048 0.00393 0.00000 0.00441 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 0.3562 0.3941 0.7503 0.5253 0.00441 0.01120 3 3.752 5.000 0.3562 0.3941 0.7503 0.5253 0.00441 0.01120 5 7.503 10.000 0.3562 0.3941 0.7503 0.5253 0.00441 0.01120 7 11.255 15.000 0.3562 0.3941 0.7503 0.5253 0.00441 0.01120 9 15.006 20.000 0.3562 0.3941 0.7503 0.5253 0.00441 0.01120 11 18.758 25.000 0.3562 0.3941 0.7503 0.5253 0.00441 0.01120 13 22.509 30.000 0.3562 0.3941 0.7503 0.5253 0.00441 0.01120 15 26.261 35.000 0.3562 0.3941 0.7503 0.5253 0.00441 0.01120 17 30.012 40.000 0.3562 0.3941 0.7503 0.5253 0.00441 0.01120 19 33.764 45.000 0.3562 0.3941 0.7503 0.5253 0.00441 0.01120 21 37.516 50.000 0.3562 0.3941 0.7503 0.5253 0.00441 0.01120 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.3022E-01 8 20.00 5.1068E-01 7 30.00 2.4874E-01 6 40.00 1.0587E-01 5 50.00 4.3373E-02 4 60.00 1.8508E-02 3 70.00 8.6298E-03 2 80.00 4.4880E-03 1 87.50 2.9325E-03 1 92.50 2.2551E-03 2 100.00 1.6365E-03 3 110.00 1.1575E-03 4 120.00 8.9175E-04 5 130.00 7.4283E-04 6 140.00 6.5908E-04 7 150.00 6.1258E-04 8 160.00 5.8774E-04 9 170.00 5.7576E-04 10 180.00 5.7167E-04 Asymptotic AOP values are MUu(inf) = 0.3757 MUd(inf) = 0.8701 MU(inf) = 0.8572 R(inf) = 0.0045 Lu(inf)/Ed(inf) = 0.001006 (1/sr) k(inf) = 0.4156 (1/m) absorp(check) = 0.3562 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 645.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.1833E-01 1.7368E+00 1.8551E+00 4.3386E-02 1.2614E+00 0.3667 0.7263 0.6566 3.4394E-02 1 0.00 0.00 1.3766E-02 1.3655E+00 1.3792E+00 5.4090E-03 1.2235E+00 0.3929 0.8960 0.8831 4.4211E-03 3 3.75 5.00 2.0619E-03 1.8007E-01 1.8213E-01 7.9824E-04 1.5631E-01 0.3871 0.8681 0.8539 5.1067E-03 5 7.50 10.00 3.3838E-04 2.2540E-02 2.2878E-02 1.3843E-04 1.9388E-02 0.4091 0.8602 0.8414 7.1398E-03 7 11.25 15.00 8.2364E-05 2.8269E-03 2.9092E-03 3.6861E-05 2.4093E-03 0.4475 0.8523 0.8155 1.5300E-02 9 15.01 20.00 3.0716E-05 3.7634E-04 4.0706E-04 1.4563E-05 3.1176E-04 0.4741 0.8284 0.7301 4.6713E-02 11 18.76 25.00 1.4142E-05 6.1495E-05 7.5637E-05 6.8395E-06 4.6725E-05 0.4836 0.7598 0.5273 1.4638E-01 13 22.51 30.00 6.9409E-06 1.5264E-05 2.2205E-05 3.3750E-06 9.9901E-06 0.4863 0.6545 0.2979 3.3784E-01 15 26.26 35.00 3.4613E-06 5.7418E-06 9.2031E-06 1.6857E-06 3.3562E-06 0.4870 0.5845 0.1815 5.0224E-01 17 30.01 40.00 1.7330E-06 2.6431E-06 4.3761E-06 8.4446E-07 1.4789E-06 0.4873 0.5595 0.1450 5.7101E-01 19 33.76 45.00 8.6886E-07 1.2962E-06 2.1651E-06 4.2353E-07 7.1642E-07 0.4875 0.5527 0.1353 5.9117E-01 21 37.52 50.00 4.3598E-07 6.4669E-07 1.0827E-06 2.1258E-07 3.5634E-07 0.4876 0.5510 0.1328 5.9658E-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 0.32885 0.38347 0.38293 0.36321 0.40296 0.40314 0.38628 5.000 5.010 5.005 0.38338 0.41327 0.41293 0.37810 0.41593 0.41613 0.36907 10.000 10.010 10.005 0.33002 0.41667 0.41539 0.31354 0.41810 0.41885 0.29035 15.000 15.010 15.005 0.23494 0.41203 0.40702 0.21850 0.41490 0.41795 0.19978 20.000 20.010 20.005 0.16943 0.38966 0.37302 0.16251 0.39963 0.41127 0.15550 25.000 25.010 25.005 0.14632 0.32622 0.29256 0.14434 0.35173 0.38733 0.14234 30.000 30.010 30.005 0.14026 0.23088 0.20254 0.13969 0.26069 0.32249 0.13907 35.000 35.010 35.005 0.13872 0.16838 0.15722 0.13853 0.18300 0.22790 0.13825 40.000 40.010 40.005 0.13825 0.14617 0.14303 0.13817 0.15064 0.16724 0.13798 45.000 45.010 45.005 0.13804 0.14003 0.13923 0.13797 0.14119 0.14584 0.13781 50.000 50.010 50.005 0.13787 0.13839 0.13818 0.13780 0.13866 0.13994 0.13765 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 8.70599E-02 6.86101E-04 6.99727E-03 7.68337E-03 5.43903E-04 0.080373 9 1 10.0 0.0 180.0 5.37195E-02 7.05968E-04 2.00049E-03 2.70646E-03 5.59653E-04 0.037239 9 4 10.0 45.0 135.0 5.90232E-02 6.99649E-04 2.32910E-03 3.02875E-03 5.54643E-04 0.039461 9 7 10.0 90.0 90.0 7.97453E-02 6.90640E-04 4.99681E-03 5.68745E-03 5.47501E-04 0.062660 8 1 20.0 0.0 180.0 4.21959E-02 7.17108E-04 1.03392E-03 1.75103E-03 5.68484E-04 0.024503 8 4 20.0 45.0 135.0 4.69754E-02 7.04284E-04 1.22320E-03 1.92749E-03 5.58318E-04 0.026039 8 7 20.0 90.0 90.0 6.90751E-02 6.91445E-04 2.86741E-03 3.55886E-03 5.48139E-04 0.041511 7 1 30.0 0.0 180.0 3.65861E-02 7.30828E-04 8.80710E-04 1.61154E-03 5.79360E-04 0.024072 7 4 30.0 45.0 135.0 4.05652E-02 7.21826E-04 9.89768E-04 1.71159E-03 5.72224E-04 0.024399 7 7 30.0 90.0 90.0 5.91332E-02 7.01617E-04 1.73360E-03 2.43522E-03 5.56203E-04 0.029317 6 1 40.0 0.0 180.0 3.47272E-02 7.40220E-04 9.79240E-04 1.71946E-03 5.86806E-04 0.028198 6 4 40.0 45.0 135.0 3.79723E-02 7.27968E-04 1.06205E-03 1.79002E-03 5.77093E-04 0.027969 6 7 40.0 90.0 90.0 5.33125E-02 7.06097E-04 1.54045E-03 2.24655E-03 5.59755E-04 0.028895 5 1 50.0 0.0 180.0 3.64103E-02 7.51945E-04 1.54687E-03 2.29882E-03 5.96100E-04 0.042485 5 4 50.0 45.0 135.0 3.88001E-02 7.34565E-04 1.61156E-03 2.34612E-03 5.82322E-04 0.041535 5 7 50.0 90.0 90.0 5.15749E-02 7.14409E-04 2.08344E-03 2.79785E-03 5.66344E-04 0.040396 4 1 60.0 0.0 180.0 4.32196E-02 7.43089E-04 3.60350E-03 4.34659E-03 5.89080E-04 0.083377 4 4 60.0 45.0 135.0 4.41977E-02 7.24347E-04 3.55839E-03 4.28274E-03 5.74222E-04 0.080511 4 7 60.0 90.0 90.0 5.45784E-02 7.15167E-04 4.15539E-03 4.87056E-03 5.66945E-04 0.076136 3 1 70.0 0.0 180.0 5.99675E-02 6.91724E-04 9.95383E-03 1.06456E-02 5.48360E-04 0.165987 3 4 70.0 45.0 135.0 5.82796E-02 6.81820E-04 9.57743E-03 1.02592E-02 5.40509E-04 0.164336 3 7 70.0 90.0 90.0 6.51552E-02 6.77633E-04 1.04150E-02 1.10926E-02 5.37190E-04 0.159849 2 1 80.0 0.0 180.0 1.01886E-01 5.94662E-04 2.47423E-02 2.53369E-02 4.71415E-04 0.242843 2 4 80.0 45.0 135.0 9.43441E-02 5.85196E-04 2.39309E-02 2.45161E-02 4.63911E-04 0.253655 2 7 80.0 90.0 90.0 9.37317E-02 5.85927E-04 2.50621E-02 2.56481E-02 4.64490E-04 0.267382 1 1 87.5 0.0 180.0 1.64730E-01 4.81369E-04 4.36364E-02 4.41178E-02 3.81603E-04 0.264896 1 4 87.5 45.0 135.0 1.48319E-01 4.51697E-04 4.33670E-02 4.38187E-02 3.58080E-04 0.292389 1 7 87.5 90.0 90.0 1.34938E-01 5.04900E-04 4.43833E-02 4.48882E-02 4.00257E-04 0.328916 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 7.683E-03 8.706E-02 1.044E-01 8.991E-02 1.351E-01 6.091E-03 5.647E+00 6.861E-04 5.439E-04 1 0.00 0.00 1.273E-03 1.620E-01 2.962E-03 3.716E-03 5.958E-03 1.041E-03 4.248E+00 3 3.75 5.00 1.870E-04 6.730E-02 4.711E-04 6.549E-04 1.190E-03 1.196E-03 4.270E+00 5 7.50 10.00 3.526E-05 1.397E-02 7.583E-05 9.910E-05 1.609E-04 1.818E-03 3.926E+00 7 11.25 15.00 1.051E-05 2.322E-03 1.698E-05 1.971E-05 2.626E-05 4.364E-03 3.506E+00 9 15.01 20.00 4.417E-06 3.504E-04 5.809E-06 6.116E-06 6.783E-06 1.417E-02 3.297E+00 11 18.76 25.00 2.116E-06 5.206E-05 2.569E-06 2.603E-06 2.669E-06 4.528E-02 3.233E+00 13 22.51 30.00 1.050E-06 8.632E-06 1.244E-06 1.248E-06 1.254E-06 1.051E-01 3.215E+00 15 26.26 35.00 5.252E-07 1.963E-06 6.179E-07 6.182E-07 6.189E-07 1.565E-01 3.209E+00 17 30.01 40.00 2.634E-07 6.730E-07 3.089E-07 3.089E-07 3.090E-07 1.781E-01 3.206E+00 19 33.76 45.00 1.322E-07 2.972E-07 1.547E-07 1.547E-07 1.547E-07 1.845E-01 3.204E+00 21 37.52 50.00 6.641E-08 1.440E-07 7.759E-08 7.759E-08 7.759E-08 1.864E-01 3.201E+00 Waveband 25 of 30 completed in 9.0 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 75.1 m at 655.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 650.0 nm to 660.0 nm: Ed(diffuse) = 3.062E-01 Ed(direct) = 8.991E-01 Ed(total) = 1.205E+00 Absorption Coefficients of Individual Components at 655.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3710 0.0358 0.0009 0.4077 3 3.979 5.000 0.3710 0.0358 0.0009 0.4077 5 7.958 10.000 0.3710 0.0358 0.0009 0.4077 7 11.936 15.000 0.3710 0.0358 0.0009 0.4077 9 15.915 20.000 0.3710 0.0358 0.0009 0.4077 11 19.894 25.000 0.3710 0.0358 0.0009 0.4077 13 23.873 30.000 0.3710 0.0358 0.0009 0.4077 15 27.852 35.000 0.3710 0.0358 0.0009 0.4077 17 31.830 40.000 0.3710 0.0358 0.0009 0.4077 19 35.809 45.000 0.3710 0.0358 0.0009 0.4077 21 39.788 50.000 0.3710 0.0358 0.0009 0.4077 Scattering Coefficients of Individual Components at 655.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0009 0.3872 0.0000 0.3881 3 3.979 5.000 0.0009 0.3872 0.0000 0.3881 5 7.958 10.000 0.0009 0.3872 0.0000 0.3881 7 11.936 15.000 0.0009 0.3872 0.0000 0.3881 9 15.915 20.000 0.0009 0.3872 0.0000 0.3881 11 19.894 25.000 0.0009 0.3872 0.0000 0.3881 13 23.873 30.000 0.0009 0.3872 0.0000 0.3881 15 27.852 35.000 0.0009 0.3872 0.0000 0.3881 17 31.830 40.000 0.0009 0.3872 0.0000 0.3881 19 35.809 45.000 0.0009 0.3872 0.0000 0.3881 21 39.788 50.000 0.0009 0.3872 0.0000 0.3881 Backscattering Coefficients of Individual Components at 655.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00045 0.00387 0.00000 0.00432 3 3.979 5.000 0.00045 0.00387 0.00000 0.00432 5 7.958 10.000 0.00045 0.00387 0.00000 0.00432 7 11.936 15.000 0.00045 0.00387 0.00000 0.00432 9 15.915 20.000 0.00045 0.00387 0.00000 0.00432 11 19.894 25.000 0.00045 0.00387 0.00000 0.00432 13 23.873 30.000 0.00045 0.00387 0.00000 0.00432 15 27.852 35.000 0.00045 0.00387 0.00000 0.00432 17 31.830 40.000 0.00045 0.00387 0.00000 0.00432 19 35.809 45.000 0.00045 0.00387 0.00000 0.00432 21 39.788 50.000 0.00045 0.00387 0.00000 0.00432 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 0.4077 0.3881 0.7958 0.4877 0.00432 0.01114 3 3.979 5.000 0.4077 0.3881 0.7958 0.4877 0.00432 0.01114 5 7.958 10.000 0.4077 0.3881 0.7958 0.4877 0.00432 0.01114 7 11.936 15.000 0.4077 0.3881 0.7958 0.4877 0.00432 0.01114 9 15.915 20.000 0.4077 0.3881 0.7958 0.4877 0.00432 0.01114 11 19.894 25.000 0.4077 0.3881 0.7958 0.4877 0.00432 0.01114 13 23.873 30.000 0.4077 0.3881 0.7958 0.4877 0.00432 0.01114 15 27.852 35.000 0.4077 0.3881 0.7958 0.4877 0.00432 0.01114 17 31.830 40.000 0.4077 0.3881 0.7958 0.4877 0.00432 0.01114 19 35.809 45.000 0.4077 0.3881 0.7958 0.4877 0.00432 0.01114 21 39.788 50.000 0.4077 0.3881 0.7958 0.4877 0.00432 0.01114 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 8.1396E-01 8 20.00 4.7695E-01 7 30.00 2.1831E-01 6 40.00 8.7549E-02 5 50.00 3.4286E-02 4 60.00 1.4245E-02 3 70.00 6.5642E-03 2 80.00 3.4024E-03 1 87.50 2.2240E-03 1 92.50 1.7144E-03 2 100.00 1.2467E-03 3 110.00 8.8430E-04 4 120.00 6.8400E-04 5 130.00 5.7225E-04 6 140.00 5.0986E-04 7 150.00 4.7559E-04 8 160.00 4.5753E-04 9 170.00 4.4894E-04 10 180.00 4.4603E-04 Asymptotic AOP values are MUu(inf) = 0.3777 MUd(inf) = 0.8799 MU(inf) = 0.8690 R(inf) = 0.0038 Lu(inf)/Ed(inf) = 0.000856 (1/sr) k(inf) = 0.4692 (1/m) absorp(check) = 0.4077 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 655.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.1209E-01 1.6578E+00 1.7699E+00 4.1128E-02 1.2053E+00 0.3669 0.7271 0.6578 3.4121E-02 1 0.00 0.00 1.1515E-02 1.3033E+00 1.3148E+00 4.5342E-03 1.1687E+00 0.3938 0.8968 0.8855 3.8796E-03 3 3.98 5.00 1.4329E-03 1.2892E-01 1.3035E-01 5.7242E-04 1.1244E-01 0.3995 0.8722 0.8582 5.0908E-03 5 7.96 10.00 2.6129E-04 1.2268E-02 1.2530E-02 1.1494E-04 1.0588E-02 0.4399 0.8631 0.8359 1.0855E-02 7 11.94 15.00 8.7949E-05 1.2281E-03 1.3160E-03 4.1533E-05 1.0308E-03 0.4722 0.8394 0.7517 4.0292E-02 9 15.92 20.00 3.9969E-05 1.5874E-04 1.9871E-04 1.9271E-05 1.1999E-04 0.4821 0.7559 0.5069 1.6061E-01 11 19.89 25.00 1.9536E-05 3.7075E-05 5.6611E-05 9.4621E-06 2.3238E-05 0.4843 0.6268 0.2434 4.0717E-01 13 23.87 30.00 9.6806E-06 1.4541E-05 2.4221E-05 4.6946E-06 8.1611E-06 0.4849 0.5613 0.1431 5.7524E-01 15 27.85 35.00 4.8118E-06 6.8666E-06 1.1678E-05 2.3351E-06 3.7414E-06 0.4853 0.5449 0.1204 6.2411E-01 17 31.83 40.00 2.3958E-06 3.3834E-06 5.7792E-06 1.1633E-06 1.8327E-06 0.4856 0.5417 0.1158 6.3474E-01 19 35.81 45.00 1.1950E-06 1.6831E-06 2.8781E-06 5.8054E-07 9.1089E-07 0.4858 0.5412 0.1148 6.3734E-01 21 39.79 50.00 5.9710E-07 8.4009E-07 1.4372E-06 2.9024E-07 4.5463E-07 0.4861 0.5412 0.1144 6.3841E-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 0.38091 0.44140 0.44087 0.41147 0.45985 0.46004 0.43003 5.000 5.010 5.005 0.39830 0.46978 0.46900 0.38443 0.47212 0.47257 0.36488 10.000 10.010 10.005 0.27488 0.46887 0.46482 0.25461 0.47151 0.47390 0.23178 15.000 15.010 15.005 0.17667 0.44532 0.42734 0.16875 0.45596 0.46804 0.16091 20.000 20.010 20.005 0.14741 0.35835 0.31588 0.14554 0.39139 0.43850 0.14364 25.000 25.010 25.005 0.14144 0.22639 0.19707 0.14099 0.26041 0.34251 0.14037 30.000 30.010 30.005 0.14022 0.16026 0.15225 0.14003 0.17173 0.21467 0.13965 35.000 35.010 35.005 0.13975 0.14364 0.14204 0.13962 0.14610 0.15685 0.13929 40.000 40.010 40.005 0.13940 0.14014 0.13983 0.13925 0.14057 0.14287 0.13894 45.000 45.010 45.005 0.13899 0.13920 0.13911 0.13887 0.13925 0.13992 0.13858 50.000 50.010 50.005 0.13859 0.13873 0.13867 0.13849 0.13872 0.13911 0.13822 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 8.26289E-02 5.79699E-04 6.68238E-03 7.26208E-03 4.80943E-04 0.080872 9 1 10.0 0.0 180.0 5.09854E-02 5.96273E-04 1.90421E-03 2.50048E-03 4.94694E-04 0.037348 9 4 10.0 45.0 135.0 5.60192E-02 5.90982E-04 2.21768E-03 2.80866E-03 4.90304E-04 0.039588 9 7 10.0 90.0 90.0 7.56866E-02 5.83450E-04 4.76801E-03 5.35146E-03 4.84056E-04 0.062997 8 1 20.0 0.0 180.0 4.00483E-02 6.05432E-04 9.81576E-04 1.58701E-03 5.02292E-04 0.024510 8 4 20.0 45.0 135.0 4.45846E-02 5.94681E-04 1.16167E-03 1.75635E-03 4.93373E-04 0.026055 8 7 20.0 90.0 90.0 6.55595E-02 5.83939E-04 2.73118E-03 3.31512E-03 4.84461E-04 0.041660 7 1 30.0 0.0 180.0 3.47241E-02 6.16721E-04 8.35885E-04 1.45261E-03 5.11659E-04 0.024072 7 4 30.0 45.0 135.0 3.85009E-02 6.09223E-04 9.39428E-04 1.54865E-03 5.05438E-04 0.024400 7 7 30.0 90.0 90.0 5.61222E-02 5.92254E-04 1.64728E-03 2.23953E-03 4.91360E-04 0.029352 6 1 40.0 0.0 180.0 3.29597E-02 6.24189E-04 9.29401E-04 1.55359E-03 5.17854E-04 0.028198 6 4 40.0 45.0 135.0 3.60397E-02 6.13959E-04 1.00800E-03 1.62196E-03 5.09367E-04 0.027969 6 7 40.0 90.0 90.0 5.05991E-02 5.95505E-04 1.46217E-03 2.05768E-03 4.94057E-04 0.028897 5 1 50.0 0.0 180.0 3.45572E-02 6.33621E-04 1.46814E-03 2.10177E-03 5.25679E-04 0.042485 5 4 50.0 45.0 135.0 3.68253E-02 6.19050E-04 1.52954E-03 2.14859E-03 5.13590E-04 0.041535 5 7 50.0 90.0 90.0 4.89500E-02 6.01885E-04 1.97741E-03 2.57929E-03 4.99350E-04 0.040396 4 1 60.0 0.0 180.0 4.10199E-02 6.25687E-04 3.42010E-03 4.04578E-03 5.19096E-04 0.083377 4 4 60.0 45.0 135.0 4.19482E-02 6.09939E-04 3.37728E-03 3.98722E-03 5.06032E-04 0.080511 4 7 60.0 90.0 90.0 5.18006E-02 6.01836E-04 3.94390E-03 4.54574E-03 4.99309E-04 0.076136 3 1 70.0 0.0 180.0 5.69154E-02 5.81921E-04 9.44722E-03 1.00291E-02 4.82787E-04 0.165987 3 4 70.0 45.0 135.0 5.53134E-02 5.73557E-04 9.08998E-03 9.66353E-03 4.75848E-04 0.164336 3 7 70.0 90.0 90.0 6.18391E-02 5.69423E-04 9.88492E-03 1.04543E-02 4.72418E-04 0.159849 2 1 80.0 0.0 180.0 9.67001E-02 4.99844E-04 2.34830E-02 2.39828E-02 4.14692E-04 0.242843 2 4 80.0 45.0 135.0 8.95424E-02 4.91799E-04 2.27129E-02 2.32047E-02 4.08018E-04 0.253655 2 7 80.0 90.0 90.0 8.89611E-02 4.91698E-04 2.37866E-02 2.42783E-02 4.07934E-04 0.267382 1 1 87.5 0.0 180.0 1.56346E-01 4.04267E-04 4.14155E-02 4.18198E-02 3.35397E-04 0.264896 1 4 87.5 45.0 135.0 1.40771E-01 3.79240E-04 4.11598E-02 4.15390E-02 3.14634E-04 0.292389 1 7 87.5 90.0 90.0 1.28070E-01 4.23120E-04 4.21243E-02 4.25475E-02 3.51038E-04 0.328916 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 7.262E-03 8.263E-02 9.908E-02 8.531E-02 1.282E-01 6.025E-03 5.663E+00 5.797E-04 4.809E-04 1 0.00 0.00 1.076E-03 1.537E-01 2.502E-03 3.134E-03 5.018E-03 9.205E-04 4.215E+00 3 3.98 5.00 1.404E-04 4.896E-02 3.183E-04 4.305E-04 7.566E-04 1.248E-03 4.078E+00 5 7.96 10.00 3.179E-05 7.828E-03 5.372E-05 6.428E-05 9.221E-05 3.003E-03 3.615E+00 7 11.94 15.00 1.237E-05 1.012E-03 1.651E-05 1.744E-05 1.965E-05 1.200E-02 3.358E+00 9 15.92 20.00 5.856E-06 1.239E-04 7.233E-06 7.311E-06 7.481E-06 4.880E-02 3.291E+00 11 19.89 25.00 2.889E-06 1.769E-05 3.500E-06 3.507E-06 3.520E-06 1.243E-01 3.275E+00 13 23.87 30.00 1.437E-06 4.057E-06 1.729E-06 1.730E-06 1.731E-06 1.760E-01 3.268E+00 15 27.85 35.00 7.157E-07 1.528E-06 8.583E-07 8.584E-07 8.584E-07 1.913E-01 3.263E+00 17 31.83 40.00 3.571E-07 7.117E-07 4.268E-07 4.268E-07 4.268E-07 1.948E-01 3.258E+00 19 35.81 45.00 1.785E-07 3.502E-07 2.126E-07 2.126E-07 2.126E-07 1.959E-01 3.253E+00 21 39.79 50.00 8.934E-08 1.745E-07 1.061E-07 1.061E-07 1.061E-07 1.965E-01 3.249E+00 Waveband 26 of 30 completed in 9.6 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 73.2 m at 665.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 660.0 nm to 670.0 nm: Ed(diffuse) = 3.168E-01 Ed(direct) = 9.381E-01 Ed(total) = 1.255E+00 Absorption Coefficients of Individual Components at 665.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.4290 0.0499 0.0008 0.4797 3 4.309 5.000 0.4290 0.0499 0.0008 0.4797 5 8.619 10.000 0.4290 0.0499 0.0008 0.4797 7 12.928 15.000 0.4290 0.0499 0.0008 0.4797 9 17.238 20.000 0.4290 0.0499 0.0008 0.4797 11 21.547 25.000 0.4290 0.0499 0.0008 0.4797 13 25.856 30.000 0.4290 0.0499 0.0008 0.4797 15 30.166 35.000 0.4290 0.0499 0.0008 0.4797 17 34.475 40.000 0.4290 0.0499 0.0008 0.4797 19 38.785 45.000 0.4290 0.0499 0.0008 0.4797 21 43.094 50.000 0.4290 0.0499 0.0008 0.4797 Scattering Coefficients of Individual Components at 665.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0008 0.3813 0.0000 0.3822 3 4.309 5.000 0.0008 0.3813 0.0000 0.3822 5 8.619 10.000 0.0008 0.3813 0.0000 0.3822 7 12.928 15.000 0.0008 0.3813 0.0000 0.3822 9 17.238 20.000 0.0008 0.3813 0.0000 0.3822 11 21.547 25.000 0.0008 0.3813 0.0000 0.3822 13 25.856 30.000 0.0008 0.3813 0.0000 0.3822 15 30.166 35.000 0.0008 0.3813 0.0000 0.3822 17 34.475 40.000 0.0008 0.3813 0.0000 0.3822 19 38.785 45.000 0.0008 0.3813 0.0000 0.3822 21 43.094 50.000 0.0008 0.3813 0.0000 0.3822 Backscattering Coefficients of Individual Components at 665.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00042 0.00381 0.00000 0.00423 3 4.309 5.000 0.00042 0.00381 0.00000 0.00423 5 8.619 10.000 0.00042 0.00381 0.00000 0.00423 7 12.928 15.000 0.00042 0.00381 0.00000 0.00423 9 17.238 20.000 0.00042 0.00381 0.00000 0.00423 11 21.547 25.000 0.00042 0.00381 0.00000 0.00423 13 25.856 30.000 0.00042 0.00381 0.00000 0.00423 15 30.166 35.000 0.00042 0.00381 0.00000 0.00423 17 34.475 40.000 0.00042 0.00381 0.00000 0.00423 19 38.785 45.000 0.00042 0.00381 0.00000 0.00423 21 43.094 50.000 0.00042 0.00381 0.00000 0.00423 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 0.4797 0.3822 0.8619 0.4434 0.00423 0.01108 3 4.309 5.000 0.4797 0.3822 0.8619 0.4434 0.00423 0.01108 5 8.619 10.000 0.4797 0.3822 0.8619 0.4434 0.00423 0.01108 7 12.928 15.000 0.4797 0.3822 0.8619 0.4434 0.00423 0.01108 9 17.238 20.000 0.4797 0.3822 0.8619 0.4434 0.00423 0.01108 11 21.547 25.000 0.4797 0.3822 0.8619 0.4434 0.00423 0.01108 13 25.856 30.000 0.4797 0.3822 0.8619 0.4434 0.00423 0.01108 15 30.166 35.000 0.4797 0.3822 0.8619 0.4434 0.00423 0.01108 17 34.475 40.000 0.4797 0.3822 0.8619 0.4434 0.00423 0.01108 19 38.785 45.000 0.4797 0.3822 0.8619 0.4434 0.00423 0.01108 21 43.094 50.000 0.4797 0.3822 0.8619 0.4434 0.00423 0.01108 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 7.9273E-01 8 20.00 4.3588E-01 7 30.00 1.8441E-01 6 40.00 6.8834E-02 5 50.00 2.5624E-02 4 60.00 1.0364E-02 3 70.00 4.7301E-03 2 80.00 2.4487E-03 1 87.50 1.6032E-03 1 92.50 1.2398E-03 2 100.00 9.0397E-04 3 110.00 6.4360E-04 4 120.00 5.0018E-04 5 130.00 4.2058E-04 6 140.00 3.7653E-04 7 150.00 3.5265E-04 8 160.00 3.4029E-04 9 170.00 3.3452E-04 10 180.00 3.3256E-04 Asymptotic AOP values are MUu(inf) = 0.3801 MUd(inf) = 0.8909 MU(inf) = 0.8818 R(inf) = 0.0031 Lu(inf)/Ed(inf) = 0.000708 (1/sr) k(inf) = 0.5441 (1/m) absorp(check) = 0.4798 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 665.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.1633E-01 1.7242E+00 1.8405E+00 4.2819E-02 1.2549E+00 0.3681 0.7278 0.6585 3.4122E-02 1 0.00 0.00 1.1732E-02 1.3565E+00 1.3682E+00 4.7577E-03 1.2168E+00 0.4055 0.8970 0.8859 3.9100E-03 3 4.31 5.00 1.7760E-03 9.0810E-02 9.2586E-02 7.8695E-04 7.9264E-02 0.4431 0.8729 0.8476 9.9283E-03 5 8.62 10.00 5.9831E-04 6.3916E-03 6.9899E-03 2.8348E-04 5.3421E-03 0.4738 0.8358 0.7237 5.3065E-02 7 12.93 15.00 2.7561E-04 7.2171E-04 9.9732E-04 1.3229E-04 5.0559E-04 0.4800 0.7005 0.3743 2.6165E-01 9 17.24 20.00 1.3306E-04 2.0130E-04 3.3436E-04 6.3982E-05 1.1445E-04 0.4809 0.5685 0.1509 5.5904E-01 11 21.55 25.00 6.4506E-05 8.8332E-05 1.5284E-04 3.1033E-05 4.7300E-05 0.4811 0.5355 0.1064 6.5608E-01 13 25.86 30.00 3.1300E-05 4.2265E-05 7.3565E-05 1.5063E-05 2.2431E-05 0.4813 0.5307 0.1002 6.7153E-01 15 30.17 35.00 1.5213E-05 2.0491E-05 3.5704E-05 7.3240E-06 1.0863E-05 0.4814 0.5301 0.0991 6.7423E-01 17 34.48 40.00 7.4125E-06 9.9719E-06 1.7384E-05 3.5701E-06 5.2856E-06 0.4816 0.5301 0.0987 6.7543E-01 19 38.78 45.00 3.6221E-06 4.8669E-06 8.4891E-06 1.7452E-06 2.5797E-06 0.4818 0.5300 0.0983 6.7654E-01 21 43.09 50.00 1.7752E-06 2.3824E-06 4.1576E-06 8.5568E-07 1.2628E-06 0.4820 0.5300 0.0979 6.7763E-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 0.41597 0.52208 0.52117 0.42857 0.53909 0.53953 0.42897 5.000 5.010 5.005 0.29181 0.54353 0.53870 0.26995 0.54752 0.55031 0.24745 10.000 10.010 10.005 0.17181 0.50479 0.47625 0.16589 0.52261 0.54264 0.16043 15.000 15.010 15.005 0.14834 0.34384 0.28978 0.14744 0.39475 0.48254 0.14648 20.000 20.010 20.005 0.14552 0.18880 0.17158 0.14532 0.21359 0.30019 0.14500 25.000 25.010 25.005 0.14506 0.15073 0.14834 0.14498 0.15496 0.17402 0.14474 30.000 30.010 30.005 0.14470 0.14521 0.14499 0.14461 0.14580 0.14824 0.14438 35.000 35.010 35.005 0.14418 0.14422 0.14420 0.14409 0.14431 0.14476 0.14386 40.000 40.010 40.005 0.14357 0.14367 0.14363 0.14350 0.14370 0.14411 0.14328 45.000 45.010 45.005 0.14293 0.14313 0.14305 0.14287 0.14313 0.14369 0.14265 50.000 50.010 50.005 0.14236 0.14257 0.14248 0.14228 0.14255 0.14314 0.14207 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 8.54737E-02 6.34327E-04 6.95328E-03 7.58761E-03 5.05498E-04 0.081350 9 1 10.0 0.0 180.0 5.27408E-02 6.49935E-04 1.97525E-03 2.62518E-03 5.17937E-04 0.037452 9 4 10.0 45.0 135.0 5.79479E-02 6.44937E-04 2.30109E-03 2.94602E-03 5.13954E-04 0.039710 9 7 10.0 90.0 90.0 7.82924E-02 6.38375E-04 4.95743E-03 5.59580E-03 5.08725E-04 0.063319 8 1 20.0 0.0 180.0 4.14272E-02 6.58134E-04 1.01565E-03 1.67378E-03 5.24471E-04 0.024516 8 4 20.0 45.0 135.0 4.61196E-02 6.47750E-04 1.20238E-03 1.85013E-03 5.16196E-04 0.026071 8 7 20.0 90.0 90.0 6.78167E-02 6.38615E-04 2.83482E-03 3.47343E-03 5.08916E-04 0.041801 7 1 30.0 0.0 180.0 3.59196E-02 6.68681E-04 8.64664E-04 1.53334E-03 5.32875E-04 0.024072 7 4 30.0 45.0 135.0 3.98266E-02 6.62346E-04 9.71806E-04 1.63415E-03 5.27827E-04 0.024401 7 7 30.0 90.0 90.0 5.80532E-02 6.47160E-04 1.70588E-03 2.35304E-03 5.15725E-04 0.029385 6 1 40.0 0.0 180.0 3.40945E-02 6.74669E-04 9.61399E-04 1.63607E-03 5.37647E-04 0.028198 6 4 40.0 45.0 135.0 3.72805E-02 6.65823E-04 1.04270E-03 1.70853E-03 5.30598E-04 0.027969 6 7 40.0 90.0 90.0 5.23412E-02 6.49313E-04 1.51264E-03 2.16195E-03 5.17441E-04 0.028900 5 1 50.0 0.0 180.0 3.57469E-02 6.83053E-04 1.51869E-03 2.20174E-03 5.44329E-04 0.042485 5 4 50.0 45.0 135.0 3.80932E-02 6.69653E-04 1.58220E-03 2.25185E-03 5.33650E-04 0.041535 5 7 50.0 90.0 90.0 5.06353E-02 6.54011E-04 2.04549E-03 2.69950E-03 5.21185E-04 0.040396 4 1 60.0 0.0 180.0 4.24322E-02 6.72656E-04 3.53785E-03 4.21051E-03 5.36043E-04 0.083377 4 4 60.0 45.0 135.0 4.33925E-02 6.57963E-04 3.49356E-03 4.15152E-03 5.24334E-04 0.080511 4 7 60.0 90.0 90.0 5.35840E-02 6.51217E-04 4.07969E-03 4.73090E-03 5.18958E-04 0.076136 3 1 70.0 0.0 180.0 5.88749E-02 6.23532E-04 9.77248E-03 1.03960E-02 4.96896E-04 0.165987 3 4 70.0 45.0 135.0 5.72178E-02 6.16381E-04 9.40294E-03 1.00193E-02 4.91197E-04 0.164336 3 7 70.0 90.0 90.0 6.39682E-02 6.12200E-04 1.02252E-02 1.08375E-02 4.87866E-04 0.159849 2 1 80.0 0.0 180.0 1.00029E-01 5.33782E-04 2.42915E-02 2.48253E-02 4.25374E-04 0.242843 2 4 80.0 45.0 135.0 9.26253E-02 5.26405E-04 2.34949E-02 2.40213E-02 4.19495E-04 0.253655 2 7 80.0 90.0 90.0 9.20240E-02 5.25182E-04 2.46055E-02 2.51307E-02 4.18520E-04 0.267382 1 1 87.5 0.0 180.0 1.61729E-01 4.30063E-04 4.28414E-02 4.32715E-02 3.42720E-04 0.264896 1 4 87.5 45.0 135.0 1.45617E-01 4.04086E-04 4.25769E-02 4.29810E-02 3.22019E-04 0.292389 1 7 87.5 90.0 90.0 1.32480E-01 4.48480E-04 4.35746E-02 4.40231E-02 3.57396E-04 0.328916 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 7.588E-03 8.547E-02 1.025E-01 8.825E-02 1.326E-01 6.047E-03 5.643E+00 6.343E-04 5.055E-04 1 0.00 0.00 1.177E-03 1.590E-01 2.556E-03 3.121E-03 4.802E-03 9.675E-04 4.041E+00 3 4.31 5.00 2.162E-04 3.510E-02 3.544E-04 4.190E-04 6.062E-04 2.728E-03 3.640E+00 5 8.62 10.00 8.300E-05 3.974E-03 1.104E-04 1.144E-04 1.250E-04 1.554E-02 3.416E+00 7 12.93 15.00 3.918E-05 4.066E-04 4.986E-05 5.010E-05 5.066E-05 7.749E-02 3.377E+00 9 17.24 20.00 1.898E-05 6.074E-05 2.399E-05 2.401E-05 2.403E-05 1.659E-01 3.370E+00 11 21.55 25.00 9.216E-06 1.865E-05 1.162E-05 1.162E-05 1.162E-05 1.948E-01 3.367E+00 13 25.86 30.00 4.478E-06 8.250E-06 5.634E-06 5.634E-06 5.635E-06 1.996E-01 3.364E+00 15 30.17 35.00 2.179E-06 3.952E-06 2.736E-06 2.736E-06 2.736E-06 2.006E-01 3.361E+00 17 34.48 40.00 1.063E-06 1.920E-06 1.332E-06 1.332E-06 1.332E-06 2.012E-01 3.357E+00 19 38.78 45.00 5.204E-07 9.372E-07 6.502E-07 6.502E-07 6.502E-07 2.017E-01 3.354E+00 21 43.09 50.00 2.554E-07 4.588E-07 3.184E-07 3.184E-07 3.184E-07 2.023E-01 3.350E+00 Waveband 27 of 30 completed in 10.6 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 72.8 m at 675.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 670.0 nm to 680.0 nm: Ed(diffuse) = 3.090E-01 Ed(direct) = 9.226E-01 Ed(total) = 1.232E+00 Absorption Coefficients of Individual Components at 675.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.4480 0.0508 0.0007 0.4995 3 4.380 5.000 0.4480 0.0508 0.0007 0.4995 5 8.760 10.000 0.4480 0.0508 0.0007 0.4995 7 13.140 15.000 0.4480 0.0508 0.0007 0.4995 9 17.520 20.000 0.4480 0.0508 0.0007 0.4995 11 21.900 25.000 0.4480 0.0508 0.0007 0.4995 13 26.280 30.000 0.4480 0.0508 0.0007 0.4995 15 30.660 35.000 0.4480 0.0508 0.0007 0.4995 17 35.041 40.000 0.4480 0.0508 0.0007 0.4995 19 39.421 45.000 0.4480 0.0508 0.0007 0.4995 21 43.801 50.000 0.4480 0.0508 0.0007 0.4995 Scattering Coefficients of Individual Components at 675.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0008 0.3757 0.0000 0.3765 3 4.380 5.000 0.0008 0.3757 0.0000 0.3765 5 8.760 10.000 0.0008 0.3757 0.0000 0.3765 7 13.140 15.000 0.0008 0.3757 0.0000 0.3765 9 17.520 20.000 0.0008 0.3757 0.0000 0.3765 11 21.900 25.000 0.0008 0.3757 0.0000 0.3765 13 26.280 30.000 0.0008 0.3757 0.0000 0.3765 15 30.660 35.000 0.0008 0.3757 0.0000 0.3765 17 35.041 40.000 0.0008 0.3757 0.0000 0.3765 19 39.421 45.000 0.0008 0.3757 0.0000 0.3765 21 43.801 50.000 0.0008 0.3757 0.0000 0.3765 Backscattering Coefficients of Individual Components at 675.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00040 0.00376 0.00000 0.00415 3 4.380 5.000 0.00040 0.00376 0.00000 0.00415 5 8.760 10.000 0.00040 0.00376 0.00000 0.00415 7 13.140 15.000 0.00040 0.00376 0.00000 0.00415 9 17.520 20.000 0.00040 0.00376 0.00000 0.00415 11 21.900 25.000 0.00040 0.00376 0.00000 0.00415 13 26.280 30.000 0.00040 0.00376 0.00000 0.00415 15 30.660 35.000 0.00040 0.00376 0.00000 0.00415 17 35.041 40.000 0.00040 0.00376 0.00000 0.00415 19 39.421 45.000 0.00040 0.00376 0.00000 0.00415 21 43.801 50.000 0.00040 0.00376 0.00000 0.00415 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 0.4995 0.3765 0.8760 0.4298 0.00415 0.01103 3 4.380 5.000 0.4995 0.3765 0.8760 0.4298 0.00415 0.01103 5 8.760 10.000 0.4995 0.3765 0.8760 0.4298 0.00415 0.01103 7 13.140 15.000 0.4995 0.3765 0.8760 0.4298 0.00415 0.01103 9 17.520 20.000 0.4995 0.3765 0.8760 0.4298 0.00415 0.01103 11 21.900 25.000 0.4995 0.3765 0.8760 0.4298 0.00415 0.01103 13 26.280 30.000 0.4995 0.3765 0.8760 0.4298 0.00415 0.01103 15 30.660 35.000 0.4995 0.3765 0.8760 0.4298 0.00415 0.01103 17 35.041 40.000 0.4995 0.3765 0.8760 0.4298 0.00415 0.01103 19 39.421 45.000 0.4995 0.3765 0.8760 0.4298 0.00415 0.01103 21 43.801 50.000 0.4995 0.3765 0.8760 0.4298 0.00415 0.01103 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 7.8563E-01 8 20.00 4.2285E-01 7 30.00 1.7436E-01 6 40.00 6.3627E-02 5 50.00 2.3329E-02 4 60.00 9.3656E-03 3 70.00 4.2642E-03 2 80.00 2.2070E-03 1 87.50 1.4455E-03 1 92.50 1.1187E-03 2 100.00 8.1609E-04 3 110.00 5.8140E-04 4 120.00 4.5225E-04 5 130.00 3.8066E-04 6 140.00 3.4114E-04 7 150.00 3.1981E-04 8 160.00 3.0882E-04 9 170.00 3.0372E-04 10 180.00 3.0199E-04 Asymptotic AOP values are MUu(inf) = 0.3806 MUd(inf) = 0.8941 MU(inf) = 0.8856 R(inf) = 0.0029 Lu(inf)/Ed(inf) = 0.000665 (1/sr) k(inf) = 0.5641 (1/m) absorp(check) = 0.4996 = k(inf)*MU(inf) Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 675.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 1.1568E-01 1.6906E+00 1.8063E+00 4.3004E-02 1.2316E+00 0.3718 0.7285 0.6580 3.4918E-02 1 0.00 0.00 1.5880E-02 1.3345E+00 1.3504E+00 6.7999E-03 1.1954E+00 0.4282 0.8957 0.8801 5.6886E-03 3 4.38 5.00 3.9689E-03 8.2980E-02 8.6949E-02 1.8506E-03 7.1450E-02 0.4663 0.8610 0.8005 2.5901E-02 5 8.76 10.00 1.7095E-03 6.6850E-03 8.3945E-03 8.1788E-04 5.0900E-03 0.4784 0.7614 0.5089 1.6068E-01 7 13.14 15.00 8.1843E-04 1.3386E-03 2.1570E-03 3.9283E-04 7.9448E-04 0.4800 0.5935 0.1862 4.9445E-01 9 17.52 20.00 3.9495E-04 5.4069E-04 9.3564E-04 1.8963E-04 2.9017E-04 0.4801 0.5367 0.1075 6.5352E-01 11 21.90 25.00 1.9039E-04 2.5484E-04 4.4522E-04 9.1423E-05 1.3470E-04 0.4802 0.5286 0.0972 6.7873E-01 13 26.28 30.00 9.1797E-05 1.2252E-04 2.1431E-04 4.4088E-05 6.4641E-05 0.4803 0.5276 0.0959 6.8205E-01 15 30.66 35.00 4.4337E-05 5.9111E-05 1.0345E-04 2.1299E-05 3.1180E-05 0.4804 0.5275 0.0955 6.8309E-01 17 35.04 40.00 2.1470E-05 2.8592E-05 5.0062E-05 1.0316E-05 1.5080E-05 0.4805 0.5274 0.0952 6.8410E-01 19 39.42 45.00 1.0427E-05 1.3870E-05 2.4297E-05 5.0115E-06 7.3140E-06 0.4806 0.5273 0.0948 6.8520E-01 21 43.80 50.00 5.0800E-06 6.7488E-06 1.1829E-05 2.4421E-06 3.5582E-06 0.4807 0.5272 0.0944 6.8633E-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 0.35441 0.54339 0.54117 0.34742 0.55951 0.56072 0.33343 5.000 5.010 5.005 0.20425 0.54804 0.53232 0.19306 0.55840 0.56813 0.18254 10.000 10.010 10.005 0.15294 0.42967 0.37326 0.15120 0.47429 0.53626 0.14952 15.000 15.010 15.005 0.14682 0.22418 0.19482 0.14656 0.26331 0.37762 0.14624 20.000 20.010 20.005 0.14644 0.15604 0.15199 0.14637 0.16339 0.19551 0.14622 25.000 25.010 25.005 0.14632 0.14689 0.14664 0.14626 0.14783 0.15114 0.14613 30.000 30.010 30.005 0.14596 0.14576 0.14584 0.14591 0.14594 0.14600 0.14578 35.000 35.010 35.005 0.14545 0.14535 0.14539 0.14538 0.14544 0.14558 0.14525 40.000 40.010 40.005 0.14482 0.14490 0.14486 0.14476 0.14494 0.14534 0.14464 45.000 45.010 45.005 0.14417 0.14431 0.14425 0.14412 0.14438 0.14493 0.14400 50.000 50.010 50.005 0.14353 0.14374 0.14365 0.14349 0.14377 0.14439 0.14338 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 8.33768E-02 9.65064E-04 6.82092E-03 7.78598E-03 7.83602E-04 0.081808 9 1 10.0 0.0 180.0 5.14469E-02 9.82600E-04 1.93192E-03 2.91452E-03 7.97840E-04 0.037552 9 4 10.0 45.0 135.0 5.65262E-02 9.76996E-04 2.25124E-03 3.22823E-03 7.93290E-04 0.039826 9 7 10.0 90.0 90.0 7.63717E-02 9.71315E-04 4.85946E-03 5.83077E-03 7.88677E-04 0.063629 8 1 20.0 0.0 180.0 4.04108E-02 9.90888E-04 9.90991E-04 1.98188E-03 8.04570E-04 0.024523 8 4 20.0 45.0 135.0 4.49881E-02 9.78573E-04 1.17356E-03 2.15213E-03 7.94571E-04 0.026086 8 7 20.0 90.0 90.0 6.61529E-02 9.71446E-04 2.77426E-03 3.74571E-03 7.88784E-04 0.041937 7 1 30.0 0.0 180.0 3.50384E-02 1.00294E-03 8.43451E-04 1.84639E-03 8.14358E-04 0.024072 7 4 30.0 45.0 135.0 3.88497E-02 9.98044E-04 9.47996E-04 1.94604E-03 8.10381E-04 0.024402 7 7 30.0 90.0 90.0 5.66278E-02 9.83775E-04 1.66580E-03 2.64958E-03 7.98795E-04 0.029417 6 1 40.0 0.0 180.0 3.32580E-02 1.00754E-03 9.37813E-04 1.94535E-03 8.18093E-04 0.028198 6 4 40.0 45.0 135.0 3.63659E-02 1.00008E-03 1.01712E-03 2.01720E-03 8.12031E-04 0.027969 6 7 40.0 90.0 90.0 5.10571E-02 9.84851E-04 1.47564E-03 2.46049E-03 7.99668E-04 0.028902 5 1 50.0 0.0 180.0 3.48699E-02 1.01650E-03 1.48143E-03 2.49794E-03 8.25369E-04 0.042485 5 4 50.0 45.0 135.0 3.71586E-02 1.00266E-03 1.54338E-03 2.54604E-03 8.14132E-04 0.041535 5 7 50.0 90.0 90.0 4.93930E-02 9.87767E-04 1.99530E-03 2.98307E-03 8.02036E-04 0.040396 4 1 60.0 0.0 180.0 4.13912E-02 9.97436E-04 3.45105E-03 4.44849E-03 8.09887E-04 0.083377 4 4 60.0 45.0 135.0 4.23279E-02 9.81688E-04 3.40785E-03 4.38954E-03 7.97100E-04 0.080511 4 7 60.0 90.0 90.0 5.22694E-02 9.78205E-04 3.97960E-03 4.95780E-03 7.94272E-04 0.076136 3 1 70.0 0.0 180.0 5.74306E-02 9.20527E-04 9.53273E-03 1.04533E-02 7.47439E-04 0.165987 3 4 70.0 45.0 135.0 5.58141E-02 9.15047E-04 9.17225E-03 1.00873E-02 7.42990E-04 0.164336 3 7 70.0 90.0 90.0 6.23988E-02 9.11409E-04 9.97439E-03 1.08858E-02 7.40036E-04 0.159849 2 1 80.0 0.0 180.0 9.75754E-02 7.84408E-04 2.36955E-02 2.44799E-02 6.36915E-04 0.242843 2 4 80.0 45.0 135.0 9.03529E-02 7.77188E-04 2.29185E-02 2.36957E-02 6.31053E-04 0.253655 2 7 80.0 90.0 90.0 8.97663E-02 7.74480E-04 2.40019E-02 2.47764E-02 6.28854E-04 0.267382 1 1 87.5 0.0 180.0 1.57761E-01 6.28561E-04 4.17903E-02 4.24189E-02 5.10372E-04 0.264896 1 4 87.5 45.0 135.0 1.42045E-01 5.92717E-04 4.15323E-02 4.21251E-02 4.81268E-04 0.292389 1 7 87.5 90.0 90.0 1.29229E-01 6.53718E-04 4.25056E-02 4.31593E-02 5.30798E-04 0.328916 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 7.786E-03 8.338E-02 1.001E-01 8.619E-02 1.294E-01 6.322E-03 5.523E+00 9.651E-04 7.836E-04 1 0.00 0.00 1.791E-03 1.551E-01 3.390E-03 3.927E-03 5.494E-03 1.498E-03 3.796E+00 3 4.38 5.00 5.318E-04 3.138E-02 7.444E-04 7.980E-04 9.531E-04 7.443E-03 3.480E+00 5 8.76 10.00 2.404E-04 3.464E-03 3.102E-04 3.132E-04 3.211E-04 4.723E-02 3.402E+00 7 13.14 15.00 1.158E-04 4.470E-04 1.478E-04 1.480E-04 1.484E-04 1.457E-01 3.393E+00 9 17.52 20.00 5.590E-05 1.166E-04 7.130E-05 7.131E-05 7.133E-05 1.927E-01 3.392E+00 11 21.90 25.00 2.696E-05 4.915E-05 3.436E-05 3.436E-05 3.436E-05 2.001E-01 3.391E+00 13 26.28 30.00 1.301E-05 2.323E-05 1.656E-05 1.656E-05 1.656E-05 2.012E-01 3.390E+00 15 30.66 35.00 6.286E-06 1.118E-05 7.995E-06 7.995E-06 7.995E-06 2.016E-01 3.388E+00 17 35.04 40.00 3.046E-06 5.405E-06 3.869E-06 3.869E-06 3.869E-06 2.020E-01 3.386E+00 19 39.42 45.00 1.481E-06 2.620E-06 1.878E-06 1.878E-06 1.878E-06 2.024E-01 3.385E+00 21 43.80 50.00 7.219E-07 1.274E-06 9.142E-07 9.142E-07 9.142E-07 2.029E-01 3.383E+00 Waveband 28 of 30 completed in 10.5 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 72.3 m at 685.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 680.0 nm to 690.0 nm: Ed(diffuse) = 2.816E-01 Ed(direct) = 8.472E-01 Ed(total) = 1.129E+00 Absorption Coefficients of Individual Components at 685.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.4860 0.0395 0.0006 0.5262 3 4.485 5.000 0.4860 0.0395 0.0006 0.5262 5 8.971 10.000 0.4860 0.0395 0.0006 0.5262 7 13.456 15.000 0.4860 0.0395 0.0006 0.5262 9 17.942 20.000 0.4860 0.0395 0.0006 0.5262 11 22.427 25.000 0.4860 0.0395 0.0006 0.5262 13 26.913 30.000 0.4860 0.0395 0.0006 0.5262 15 31.398 35.000 0.4860 0.0395 0.0006 0.5262 17 35.884 40.000 0.4860 0.0395 0.0006 0.5262 19 40.369 45.000 0.4860 0.0395 0.0006 0.5262 21 44.855 50.000 0.4860 0.0395 0.0006 0.5262 Scattering Coefficients of Individual Components at 685.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0007 0.3702 0.0000 0.3709 3 4.485 5.000 0.0007 0.3702 0.0000 0.3709 5 8.971 10.000 0.0007 0.3702 0.0000 0.3709 7 13.456 15.000 0.0007 0.3702 0.0000 0.3709 9 17.942 20.000 0.0007 0.3702 0.0000 0.3709 11 22.427 25.000 0.0007 0.3702 0.0000 0.3709 13 26.913 30.000 0.0007 0.3702 0.0000 0.3709 15 31.398 35.000 0.0007 0.3702 0.0000 0.3709 17 35.884 40.000 0.0007 0.3702 0.0000 0.3709 19 40.369 45.000 0.0007 0.3702 0.0000 0.3709 21 44.855 50.000 0.0007 0.3702 0.0000 0.3709 Backscattering Coefficients of Individual Components at 685.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00037 0.00370 0.00000 0.00407 3 4.485 5.000 0.00037 0.00370 0.00000 0.00407 5 8.971 10.000 0.00037 0.00370 0.00000 0.00407 7 13.456 15.000 0.00037 0.00370 0.00000 0.00407 9 17.942 20.000 0.00037 0.00370 0.00000 0.00407 11 22.427 25.000 0.00037 0.00370 0.00000 0.00407 13 26.913 30.000 0.00037 0.00370 0.00000 0.00407 15 31.398 35.000 0.00037 0.00370 0.00000 0.00407 17 35.884 40.000 0.00037 0.00370 0.00000 0.00407 19 40.369 45.000 0.00037 0.00370 0.00000 0.00407 21 44.855 50.000 0.00037 0.00370 0.00000 0.00407 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 0.5262 0.3709 0.8971 0.4135 0.00407 0.01098 3 4.485 5.000 0.5262 0.3709 0.8971 0.4135 0.00407 0.01098 5 8.971 10.000 0.5262 0.3709 0.8971 0.4135 0.00407 0.01098 7 13.456 15.000 0.5262 0.3709 0.8971 0.4135 0.00407 0.01098 9 17.942 20.000 0.5262 0.3709 0.8971 0.4135 0.00407 0.01098 11 22.427 25.000 0.5262 0.3709 0.8971 0.4135 0.00407 0.01098 13 26.913 30.000 0.5262 0.3709 0.8971 0.4135 0.00407 0.01098 15 31.398 35.000 0.5262 0.3709 0.8971 0.4135 0.00407 0.01098 17 35.884 40.000 0.5262 0.3709 0.8971 0.4135 0.00407 0.01098 19 40.369 45.000 0.5262 0.3709 0.8971 0.4135 0.00407 0.01098 21 44.855 50.000 0.5262 0.3709 0.8971 0.4135 0.00407 0.01098 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 7.7680E-01 8 20.00 4.0712E-01 7 30.00 1.6266E-01 6 40.00 5.7766E-02 5 50.00 2.0810E-02 4 60.00 8.2861E-03 3 70.00 3.7641E-03 2 80.00 1.9485E-03 1 87.50 1.2769E-03 1 92.50 9.8929E-04 2 100.00 7.2224E-04 3 110.00 5.1501E-04 4 120.00 4.0110E-04 5 130.00 3.3808E-04 6 140.00 3.0339E-04 7 150.00 2.8475E-04 8 160.00 2.7522E-04 9 170.00 2.7082E-04 10 180.00 2.6934E-04 Asymptotic AOP values are MUu(inf) = 0.3813 MUd(inf) = 0.8979 MU(inf) = 0.8900 R(inf) = 0.0027 Lu(inf)/Ed(inf) = 0.000617 (1/sr) k(inf) = 0.5913 (1/m) absorp(check) = 0.5262 = 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 1.0713E-01 1.5481E+00 1.6552E+00 4.0153E-02 1.1288E+00 0.3748 0.7291 0.6577 3.5572E-02 1 0.00 0.00 1.7836E-02 1.2256E+00 1.2435E+00 7.8451E-03 1.0965E+00 0.4398 0.8946 0.8755 7.1547E-03 3 4.49 5.00 5.2441E-03 6.8335E-02 7.3579E-02 2.4801E-03 5.8033E-02 0.4729 0.8492 0.7550 4.2737E-02 5 8.97 10.00 2.3807E-03 6.1426E-03 8.5232E-03 1.1429E-03 4.3130E-03 0.4801 0.7021 0.3719 2.6498E-01 7 13.46 15.00 1.1478E-03 1.6542E-03 2.8020E-03 5.5182E-04 9.2262E-04 0.4808 0.5578 0.1323 5.9810E-01 9 17.94 20.00 5.5390E-04 7.3532E-04 1.2892E-03 2.6632E-04 3.8913E-04 0.4808 0.5292 0.0953 6.8439E-01 11 22.43 25.00 2.6677E-04 3.5127E-04 6.1804E-04 1.2827E-04 1.8481E-04 0.4808 0.5261 0.0915 6.9408E-01 13 26.91 30.00 1.2849E-04 1.6902E-04 2.9751E-04 6.1793E-05 8.8874E-05 0.4809 0.5258 0.0910 6.9528E-01 15 31.40 35.00 6.1996E-05 8.1485E-05 1.4348E-04 2.9820E-05 4.2842E-05 0.4810 0.5258 0.0908 6.9604E-01 17 35.88 40.00 2.9990E-05 3.9377E-05 6.9367E-05 1.4428E-05 2.0700E-05 0.4811 0.5257 0.0904 6.9699E-01 19 40.37 45.00 1.4551E-05 1.9083E-05 3.3634E-05 7.0015E-06 1.0030E-05 0.4812 0.5256 0.0900 6.9806E-01 21 44.85 50.00 7.0816E-06 9.2766E-06 1.6358E-05 3.4083E-06 4.8748E-06 0.4813 0.5255 0.0897 6.9916E-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 0.33193 0.57228 0.56883 0.31766 0.58750 0.58945 0.30018 5.000 5.010 5.005 0.18271 0.55784 0.53105 0.17543 0.57513 0.59301 0.16853 10.000 10.010 10.005 0.14940 0.37037 0.30860 0.14847 0.42897 0.53028 0.14752 15.000 15.010 15.005 0.14653 0.18488 0.16917 0.14639 0.20913 0.30258 0.14618 20.000 20.010 20.005 0.14662 0.14955 0.14829 0.14655 0.15266 0.16592 0.14642 25.000 25.010 25.005 0.14653 0.14620 0.14634 0.14648 0.14655 0.14672 0.14637 30.000 30.010 30.005 0.14617 0.14585 0.14599 0.14612 0.14595 0.14555 0.14602 35.000 35.010 35.005 0.14566 0.14556 0.14561 0.14559 0.14562 0.14567 0.14549 40.000 40.010 40.005 0.14504 0.14509 0.14507 0.14498 0.14514 0.14551 0.14488 45.000 45.010 45.005 0.14444 0.14454 0.14450 0.14434 0.14457 0.14512 0.14424 50.000 50.010 50.005 0.14375 0.14393 0.14385 0.14370 0.14397 0.14460 0.14361 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 7.59819E-02 1.14561E-03 6.24883E-03 7.39444E-03 1.01489E-03 0.082241 9 1 10.0 0.0 180.0 4.68840E-02 1.16321E-03 1.76499E-03 2.92820E-03 1.03049E-03 0.037646 9 4 10.0 45.0 135.0 5.15128E-02 1.15759E-03 2.05725E-03 3.21484E-03 1.02551E-03 0.039937 9 7 10.0 90.0 90.0 6.95981E-02 1.15306E-03 4.44880E-03 5.60186E-03 1.02149E-03 0.063921 8 1 20.0 0.0 180.0 3.68267E-02 1.17087E-03 9.03321E-04 2.07419E-03 1.03727E-03 0.024529 8 4 20.0 45.0 135.0 4.09980E-02 1.15804E-03 1.07005E-03 2.22809E-03 1.02590E-03 0.026100 8 7 20.0 90.0 90.0 6.02856E-02 1.15306E-03 2.53594E-03 3.68900E-03 1.02149E-03 0.042065 7 1 30.0 0.0 180.0 3.19307E-02 1.18308E-03 7.68643E-04 1.95172E-03 1.04809E-03 0.024072 7 4 30.0 45.0 135.0 3.54042E-02 1.17970E-03 8.63944E-04 2.04365E-03 1.04510E-03 0.024402 7 7 30.0 90.0 90.0 5.16043E-02 1.16730E-03 1.51958E-03 2.68688E-03 1.03411E-03 0.029447 6 1 40.0 0.0 180.0 3.03083E-02 1.18616E-03 8.54636E-04 2.04079E-03 1.05082E-03 0.028198 6 4 40.0 45.0 135.0 3.31405E-02 1.18038E-03 9.26912E-04 2.10729E-03 1.04569E-03 0.027969 6 7 40.0 90.0 90.0 4.65287E-02 1.16738E-03 1.34486E-03 2.51224E-03 1.03417E-03 0.028904 5 1 50.0 0.0 180.0 3.17773E-02 1.19480E-03 1.35004E-03 2.54484E-03 1.05847E-03 0.042485 5 4 50.0 45.0 135.0 3.38629E-02 1.18173E-03 1.40649E-03 2.58823E-03 1.04689E-03 0.041535 5 7 50.0 90.0 90.0 4.50123E-02 1.16860E-03 1.81834E-03 2.98694E-03 1.03526E-03 0.040396 4 1 60.0 0.0 180.0 3.77201E-02 1.17045E-03 3.14497E-03 4.31543E-03 1.03690E-03 0.083377 4 4 60.0 45.0 135.0 3.85738E-02 1.15515E-03 3.10560E-03 4.26075E-03 1.02335E-03 0.080511 4 7 60.0 90.0 90.0 4.76335E-02 1.15447E-03 3.62664E-03 4.78111E-03 1.02275E-03 0.076136 3 1 70.0 0.0 180.0 5.23369E-02 1.07804E-03 8.68725E-03 9.76529E-03 9.55031E-04 0.165987 3 4 70.0 45.0 135.0 5.08638E-02 1.07430E-03 8.35874E-03 9.43305E-03 9.51721E-04 0.164336 3 7 70.0 90.0 90.0 5.68645E-02 1.07135E-03 9.08974E-03 1.01611E-02 9.49102E-04 0.159849 2 1 80.0 0.0 180.0 8.89212E-02 9.16702E-04 2.15939E-02 2.25106E-02 8.12104E-04 0.242843 2 4 80.0 45.0 135.0 8.23393E-02 9.10181E-04 2.08858E-02 2.17960E-02 8.06327E-04 0.253655 2 7 80.0 90.0 90.0 8.18047E-02 9.06491E-04 2.18731E-02 2.27796E-02 8.03058E-04 0.267382 1 1 87.5 0.0 180.0 1.43769E-01 7.32751E-04 3.80839E-02 3.88166E-02 6.49143E-04 0.264896 1 4 87.5 45.0 135.0 1.29447E-01 6.92092E-04 3.78487E-02 3.85408E-02 6.13123E-04 0.292389 1 7 87.5 90.0 90.0 1.17768E-01 7.61083E-04 3.87357E-02 3.94968E-02 6.74242E-04 0.328916 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 7.394E-03 7.598E-02 9.129E-02 7.863E-02 1.180E-01 6.551E-03 5.430E+00 1.146E-03 1.015E-03 1 0.00 0.00 2.126E-03 1.414E-01 3.772E-03 4.243E-03 5.592E-03 1.939E-03 3.690E+00 3 4.49 5.00 7.223E-04 2.535E-02 9.637E-04 1.003E-03 1.117E-03 1.245E-02 3.434E+00 5 8.97 10.00 3.372E-04 2.684E-03 4.286E-04 4.305E-04 4.355E-04 7.818E-02 3.389E+00 7 13.46 15.00 1.630E-04 4.273E-04 2.062E-04 2.063E-04 2.065E-04 1.766E-01 3.386E+00 9 17.94 20.00 7.866E-05 1.451E-04 9.951E-05 9.952E-05 9.953E-05 2.021E-01 3.386E+00 11 22.43 25.00 3.789E-05 6.612E-05 4.792E-05 4.792E-05 4.792E-05 2.050E-01 3.385E+00 13 26.91 30.00 1.826E-05 3.163E-05 2.307E-05 2.307E-05 2.307E-05 2.055E-01 3.384E+00 15 31.40 35.00 8.815E-06 1.524E-05 1.113E-05 1.113E-05 1.113E-05 2.058E-01 3.383E+00 17 35.88 40.00 4.267E-06 7.360E-06 5.380E-06 5.380E-06 5.380E-06 2.061E-01 3.381E+00 19 40.37 45.00 2.072E-06 3.565E-06 2.609E-06 2.609E-06 2.609E-06 2.065E-01 3.380E+00 21 44.85 50.00 1.009E-06 1.732E-06 1.269E-06 1.269E-06 1.269E-06 2.070E-01 3.378E+00 Waveband 29 of 30 completed in 10.6 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 71.1 m at 695.0 nm RADTRANX clear-sky spectral irradiances averaged over the band from 690.0 nm to 700.0 nm: Ed(diffuse) = 2.700E-01 Ed(direct) = 8.188E-01 Ed(total) = 1.089E+00 Absorption Coefficients of Individual Components at 695.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.5590 0.0245 0.0005 0.5840 3 4.748 5.000 0.5590 0.0245 0.0005 0.5840 5 9.496 10.000 0.5590 0.0245 0.0005 0.5840 7 14.244 15.000 0.5590 0.0245 0.0005 0.5840 9 18.992 20.000 0.5590 0.0245 0.0005 0.5840 11 23.739 25.000 0.5590 0.0245 0.0005 0.5840 13 28.487 30.000 0.5590 0.0245 0.0005 0.5840 15 33.235 35.000 0.5590 0.0245 0.0005 0.5840 17 37.983 40.000 0.5590 0.0245 0.0005 0.5840 19 42.731 45.000 0.5590 0.0245 0.0005 0.5840 21 47.479 50.000 0.5590 0.0245 0.0005 0.5840 Scattering Coefficients of Individual Components at 695.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0007 0.3649 0.0000 0.3656 3 4.748 5.000 0.0007 0.3649 0.0000 0.3656 5 9.496 10.000 0.0007 0.3649 0.0000 0.3656 7 14.244 15.000 0.0007 0.3649 0.0000 0.3656 9 18.992 20.000 0.0007 0.3649 0.0000 0.3656 11 23.739 25.000 0.0007 0.3649 0.0000 0.3656 13 28.487 30.000 0.0007 0.3649 0.0000 0.3656 15 33.235 35.000 0.0007 0.3649 0.0000 0.3656 17 37.983 40.000 0.0007 0.3649 0.0000 0.3656 19 42.731 45.000 0.0007 0.3649 0.0000 0.3656 21 47.479 50.000 0.0007 0.3649 0.0000 0.3656 Backscattering Coefficients of Individual Components at 695.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total (m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00035 0.00365 0.00000 0.00400 3 4.748 5.000 0.00035 0.00365 0.00000 0.00400 5 9.496 10.000 0.00035 0.00365 0.00000 0.00400 7 14.244 15.000 0.00035 0.00365 0.00000 0.00400 9 18.992 20.000 0.00035 0.00365 0.00000 0.00400 11 23.739 25.000 0.00035 0.00365 0.00000 0.00400 13 28.487 30.000 0.00035 0.00365 0.00000 0.00400 15 33.235 35.000 0.00035 0.00365 0.00000 0.00400 17 37.983 40.000 0.00035 0.00365 0.00000 0.00400 19 42.731 45.000 0.00035 0.00365 0.00000 0.00400 21 47.479 50.000 0.00035 0.00365 0.00000 0.00400 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 0.5840 0.3656 0.9496 0.3850 0.00400 0.01093 3 4.748 5.000 0.5840 0.3656 0.9496 0.3850 0.00400 0.01093 5 9.496 10.000 0.5840 0.3656 0.9496 0.3850 0.00400 0.01093 7 14.244 15.000 0.5840 0.3656 0.9496 0.3850 0.00400 0.01093 9 18.992 20.000 0.5840 0.3656 0.9496 0.3850 0.00400 0.01093 11 23.739 25.000 0.5840 0.3656 0.9496 0.3850 0.00400 0.01093 13 28.487 30.000 0.5840 0.3656 0.9496 0.3850 0.00400 0.01093 15 33.235 35.000 0.5840 0.3656 0.9496 0.3850 0.00400 0.01093 17 37.983 40.000 0.5840 0.3656 0.9496 0.3850 0.00400 0.01093 19 42.731 45.000 0.5840 0.3656 0.9496 0.3850 0.00400 0.01093 21 47.479 50.000 0.5840 0.3656 0.9496 0.3850 0.00400 0.01093 The shape of the asymptotic radiance distribution is given by u theta Linf(theta) 10 0.00 1.0000E+00 9 10.00 7.6014E-01 8 20.00 3.7890E-01 7 30.00 1.4286E-01 6 40.00 4.8343E-02 5 50.00 1.6906E-02 4 60.00 6.6490E-03 3 70.00 3.0132E-03 2 80.00 1.5616E-03 1 87.50 1.0252E-03 1 92.50 7.9590E-04 2 100.00 5.8207E-04 3 110.00 4.1598E-04 4 120.00 3.2486E-04 5 130.00 2.7461E-04 6 140.00 2.4711E-04 7 150.00 2.3247E-04 8 160.00 2.2507E-04 9 170.00 2.2171E-04 10 180.00 2.2058E-04 Asymptotic AOP values are MUu(inf) = 0.3827 MUd(inf) = 0.9045 MU(inf) = 0.8974 R(inf) = 0.0024 Lu(inf)/Ed(inf) = 0.000544 (1/sr) k(inf) = 0.6508 (1/m) absorp(check) = 0.5841 = 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 1.0113E-01 1.4919E+00 1.5930E+00 3.7696E-02 1.0888E+00 0.3728 0.7298 0.6598 3.4622E-02 1 0.00 0.00 1.2718E-02 1.1786E+00 1.1913E+00 5.5001E-03 1.0566E+00 0.4325 0.8965 0.8823 5.2056E-03 3 4.75 5.00 3.1551E-03 4.7139E-02 5.0294E-02 1.4968E-03 4.0405E-02 0.4744 0.8571 0.7736 3.7045E-02 5 9.50 10.00 1.4245E-03 3.3671E-03 4.7915E-03 6.8676E-04 2.3274E-03 0.4821 0.6912 0.3424 2.9507E-01 7 14.24 15.00 6.8828E-04 9.3469E-04 1.6230E-03 3.3221E-04 5.0921E-04 0.4827 0.5448 0.1091 6.5240E-01 9 18.99 20.00 3.3247E-04 4.2728E-04 7.5976E-04 1.6048E-04 2.2421E-04 0.4827 0.5247 0.0839 7.1575E-01 11 23.74 25.00 1.6023E-04 2.0517E-04 3.6540E-04 7.7347E-05 1.0736E-04 0.4827 0.5233 0.0821 7.2044E-01 13 28.49 30.00 7.7224E-05 9.8841E-05 1.7606E-04 3.7283E-05 5.1713E-05 0.4828 0.5232 0.0820 7.2096E-01 15 33.24 35.00 3.7280E-05 4.7685E-05 8.4966E-05 1.8002E-05 2.4948E-05 0.4829 0.5232 0.0817 7.2160E-01 17 37.98 40.00 1.8044E-05 2.3059E-05 4.1102E-05 8.7148E-06 1.2063E-05 0.4830 0.5231 0.0815 7.2246E-01 19 42.73 45.00 8.7590E-06 1.1182E-05 1.9941E-05 4.2314E-06 5.8488E-06 0.4831 0.5231 0.0811 7.2345E-01 21 47.48 50.00 4.2651E-06 5.4393E-06 9.7044E-06 2.0608E-06 2.8446E-06 0.4832 0.5230 0.0808 7.2447E-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 0.39815 0.63815 0.63558 0.38227 0.65245 0.65387 0.36057 5.000 5.010 5.005 0.18920 0.62269 0.59544 0.18068 0.63936 0.65704 0.17265 10.000 10.010 10.005 0.14882 0.38406 0.31406 0.14801 0.45248 0.58020 0.14713 15.000 15.010 15.005 0.14630 0.17453 0.16256 0.14618 0.19433 0.28478 0.14598 20.000 20.010 20.005 0.14649 0.14729 0.14694 0.14642 0.14906 0.15570 0.14629 25.000 25.010 25.005 0.14639 0.14577 0.14604 0.14636 0.14593 0.14481 0.14625 30.000 30.010 30.005 0.14607 0.14570 0.14586 0.14602 0.14575 0.14506 0.14590 35.000 35.010 35.005 0.14546 0.14543 0.14544 0.14548 0.14547 0.14543 0.14537 40.000 40.010 40.005 0.14490 0.14495 0.14493 0.14487 0.14500 0.14533 0.14476 45.000 45.010 45.005 0.14427 0.14438 0.14433 0.14423 0.14443 0.14494 0.14413 50.000 50.010 50.005 0.14365 0.14383 0.14375 0.14360 0.14383 0.14443 0.14350 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 7.28671E-02 7.91323E-04 6.02455E-03 6.81587E-03 7.26795E-04 0.082679 9 1 10.0 0.0 180.0 4.49620E-02 8.04790E-04 1.69691E-03 2.50170E-03 7.39163E-04 0.037741 9 4 10.0 45.0 135.0 4.94011E-02 8.00456E-04 1.97842E-03 2.77887E-03 7.35183E-04 0.040048 9 7 10.0 90.0 90.0 6.67449E-02 7.96353E-04 4.28615E-03 5.08250E-03 7.31415E-04 0.064217 8 1 20.0 0.0 180.0 3.53170E-02 8.10835E-04 8.66506E-04 1.67734E-03 7.44715E-04 0.024535 8 4 20.0 45.0 135.0 3.93173E-02 8.01193E-04 1.02674E-03 1.82794E-03 7.35860E-04 0.026114 8 7 20.0 90.0 90.0 5.78143E-02 7.96216E-04 2.43949E-03 3.23570E-03 7.31289E-04 0.042195 7 1 30.0 0.0 180.0 3.06217E-02 8.19928E-04 7.37133E-04 1.55706E-03 7.53067E-04 0.024072 7 4 30.0 45.0 135.0 3.39530E-02 8.16525E-04 8.28554E-04 1.64508E-03 7.49942E-04 0.024403 7 7 30.0 90.0 90.0 4.94878E-02 8.05949E-04 1.45876E-03 2.26471E-03 7.40228E-04 0.029477 6 1 40.0 0.0 180.0 2.90658E-02 8.22656E-04 8.19600E-04 1.64226E-03 7.55573E-04 0.028198 6 4 40.0 45.0 135.0 3.17819E-02 8.17306E-04 8.88913E-04 1.70622E-03 7.50659E-04 0.027969 6 7 40.0 90.0 90.0 4.46213E-02 8.06055E-04 1.28983E-03 2.09588E-03 7.40326E-04 0.028906 5 1 50.0 0.0 180.0 3.04746E-02 8.29059E-04 1.29470E-03 2.12376E-03 7.61453E-04 0.042485 5 4 50.0 45.0 135.0 3.24747E-02 8.18554E-04 1.34884E-03 2.16739E-03 7.51806E-04 0.041535 5 7 50.0 90.0 90.0 4.31670E-02 8.07412E-04 1.74379E-03 2.55121E-03 7.41572E-04 0.040396 4 1 60.0 0.0 180.0 3.61738E-02 8.12581E-04 3.01605E-03 3.82863E-03 7.46320E-04 0.083377 4 4 60.0 45.0 135.0 3.69924E-02 8.00519E-04 2.97829E-03 3.77881E-03 7.35241E-04 0.080511 4 7 60.0 90.0 90.0 4.56808E-02 7.98410E-04 3.47797E-03 4.27638E-03 7.33304E-04 0.076136 3 1 70.0 0.0 180.0 5.01914E-02 7.48940E-04 8.33112E-03 9.08006E-03 6.87868E-04 0.165987 3 4 70.0 45.0 135.0 4.87787E-02 7.45114E-04 8.01608E-03 8.76120E-03 6.84354E-04 0.164336 3 7 70.0 90.0 90.0 5.45334E-02 7.42322E-04 8.71711E-03 9.45943E-03 6.81789E-04 0.159849 2 1 80.0 0.0 180.0 8.52759E-02 6.37366E-04 2.07087E-02 2.13460E-02 5.85392E-04 0.242843 2 4 80.0 45.0 135.0 7.89638E-02 6.31933E-04 2.00296E-02 2.06615E-02 5.80402E-04 0.253655 2 7 80.0 90.0 90.0 7.84512E-02 6.29448E-04 2.09764E-02 2.16059E-02 5.78120E-04 0.267382 1 1 87.5 0.0 180.0 1.37875E-01 5.10019E-04 3.65226E-02 3.70327E-02 4.68430E-04 0.264896 1 4 87.5 45.0 135.0 1.24140E-01 4.81181E-04 3.62971E-02 3.67783E-02 4.41943E-04 0.292389 1 7 87.5 90.0 90.0 1.12940E-01 5.29995E-04 3.71477E-02 3.76777E-02 4.86776E-04 0.328916 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 6.816E-03 7.287E-02 8.745E-02 7.531E-02 1.131E-01 6.260E-03 5.531E+00 7.913E-04 7.268E-04 1 0.00 0.00 1.469E-03 1.356E-01 2.726E-03 3.131E-03 4.312E-03 1.390E-03 3.745E+00 3 4.75 5.00 4.388E-04 1.790E-02 5.744E-04 5.987E-04 6.689E-04 1.086E-02 3.411E+00 5 9.50 10.00 2.042E-04 1.448E-03 2.534E-04 2.542E-04 2.564E-04 8.774E-02 3.363E+00 7 14.24 15.00 9.887E-05 2.190E-04 1.222E-04 1.222E-04 1.223E-04 1.942E-01 3.360E+00 9 18.99 20.00 4.776E-05 8.081E-05 5.904E-05 5.904E-05 5.904E-05 2.130E-01 3.360E+00 11 23.74 25.00 2.302E-05 3.784E-05 2.845E-05 2.845E-05 2.845E-05 2.145E-01 3.359E+00 13 28.49 30.00 1.110E-05 1.819E-05 1.371E-05 1.371E-05 1.371E-05 2.147E-01 3.358E+00 15 33.24 35.00 5.363E-06 8.774E-06 6.614E-06 6.614E-06 6.614E-06 2.150E-01 3.357E+00 17 37.98 40.00 2.597E-06 4.241E-06 3.199E-06 3.199E-06 3.199E-06 2.153E-01 3.355E+00 19 42.73 45.00 1.262E-06 2.056E-06 1.552E-06 1.552E-06 1.552E-06 2.157E-01 3.353E+00 21 47.48 50.00 6.148E-07 9.997E-07 7.554E-07 7.554E-07 7.554E-07 2.161E-01 3.352E+00 Waveband 30 of 30 completed in 11.0 sec. Energy Eo as a function of depth and wavelength Units are W/m^2 [values are integrated over the wavelength bands] depth 405.0 415.0 425.0 435.0 445.0 455.0 465.0 475.0 485.0 495.0 505.0 515.0 525.0 535.0 545.0 555.0 565.0 575.0 585.0 595.0 605.0 615.0 625.0 635.0 645.0 655.0 665.0 675.0 685.0 695.0 in air 1.838E+01 1.932E+01 1.837E+01 1.875E+01 2.200E+01 2.341E+01 2.319E+01 2.344E+01 2.261E+01 2.287E+01 2.238E+01 2.145E+01 2.186E+01 2.205E+01 2.169E+01 2.149E+01 2.126E+01 2.120E+01 2.060E+01 1.976E+01 2.022E+01 1.970E+01 1.945E+01 1.918E+01 1.855E+01 1.770E+01 1.841E+01 1.806E+01 1.655E+01 1.593E+01 0.0 1.375E+01 1.445E+01 1.377E+01 1.407E+01 1.658E+01 1.774E+01 1.767E+01 1.800E+01 1.745E+01 1.772E+01 1.734E+01 1.654E+01 1.695E+01 1.714E+01 1.688E+01 1.669E+01 1.653E+01 1.636E+01 1.566E+01 1.484E+01 1.504E+01 1.466E+01 1.447E+01 1.426E+01 1.379E+01 1.315E+01 1.368E+01 1.350E+01 1.243E+01 1.191E+01 5.0 7.191E+00 7.389E+00 7.003E+00 7.005E+00 8.447E+00 9.338E+00 9.521E+00 1.014E+01 1.015E+01 1.052E+01 1.028E+01 9.392E+00 1.001E+01 1.031E+01 1.018E+01 9.946E+00 9.888E+00 9.140E+00 7.192E+00 4.977E+00 2.959E+00 2.745E+00 2.446E+00 2.138E+00 1.821E+00 1.304E+00 9.259E-01 8.695E-01 7.358E-01 5.029E-01 10.0 3.386E+00 3.408E+00 3.219E+00 3.160E+00 3.909E+00 4.475E+00 4.682E+00 5.228E+00 5.416E+00 5.750E+00 5.615E+00 4.918E+00 5.464E+00 5.743E+00 5.701E+00 5.503E+00 5.503E+00 4.750E+00 3.070E+00 1.555E+00 5.467E-01 4.834E-01 3.900E-01 3.036E-01 2.288E-01 1.253E-01 6.990E-02 8.394E-02 8.523E-02 4.792E-02 15.0 1.529E+00 1.508E+00 1.421E+00 1.370E+00 1.739E+00 2.062E+00 2.214E+00 2.592E+00 2.780E+00 3.024E+00 2.953E+00 2.483E+00 2.875E+00 3.086E+00 3.080E+00 2.941E+00 2.960E+00 2.388E+00 1.271E+00 4.731E-01 9.990E-02 8.433E-02 6.183E-02 4.315E-02 2.909E-02 1.316E-02 9.973E-03 2.157E-02 2.802E-02 1.623E-02 20.0 6.767E-01 6.541E-01 6.149E-01 5.822E-01 7.579E-01 9.308E-01 1.026E+00 1.259E+00 1.398E+00 1.557E+00 1.521E+00 1.228E+00 1.483E+00 1.625E+00 1.631E+00 1.541E+00 1.561E+00 1.178E+00 5.174E-01 1.424E-01 1.860E-02 1.502E-02 1.011E-02 6.477E-03 4.071E-03 1.987E-03 3.344E-03 9.356E-03 1.289E-02 7.598E-03 25.0 2.963E-01 2.808E-01 2.633E-01 2.449E-01 3.270E-01 4.157E-01 4.700E-01 6.045E-01 6.943E-01 7.921E-01 7.744E-01 6.006E-01 7.555E-01 8.454E-01 8.534E-01 7.977E-01 8.134E-01 5.749E-01 2.088E-01 4.278E-02 3.689E-03 2.871E-03 1.828E-03 1.151E-03 7.564E-04 5.661E-04 1.528E-03 4.452E-03 6.180E-03 3.654E-03 30.0 1.291E-01 1.199E-01 1.122E-01 1.025E-01 1.403E-01 1.846E-01 2.140E-01 2.884E-01 3.426E-01 4.002E-01 3.914E-01 2.917E-01 3.823E-01 4.367E-01 4.433E-01 4.100E-01 4.209E-01 2.787E-01 8.388E-02 1.290E-02 8.417E-04 6.413E-04 4.104E-04 2.857E-04 2.221E-04 2.422E-04 7.356E-04 2.143E-03 2.975E-03 1.761E-03 35.0 5.608E-02 5.108E-02 4.766E-02 4.278E-02 6.003E-02 8.173E-02 9.717E-02 1.371E-01 1.684E-01 2.013E-01 1.971E-01 1.412E-01 1.926E-01 2.246E-01 2.293E-01 2.099E-01 2.168E-01 1.346E-01 3.362E-02 3.925E-03 2.408E-04 1.838E-04 1.252E-04 1.019E-04 9.203E-05 1.168E-04 3.570E-04 1.034E-03 1.435E-03 8.497E-04 40.0 2.433E-02 2.173E-02 2.022E-02 1.783E-02 2.565E-02 3.612E-02 4.403E-02 6.501E-02 8.259E-02 1.011E-01 9.897E-02 6.816E-02 9.683E-02 1.152E-01 1.183E-01 1.072E-01 1.114E-01 6.484E-02 1.347E-02 1.214E-03 8.762E-05 6.749E-05 4.919E-05 4.483E-05 4.376E-05 5.779E-05 1.738E-04 5.006E-04 6.937E-04 4.110E-04 45.0 1.055E-02 9.235E-03 8.571E-03 7.427E-03 1.095E-02 1.595E-02 1.993E-02 3.080E-02 4.046E-02 5.067E-02 4.963E-02 3.287E-02 4.860E-02 5.902E-02 6.091E-02 5.463E-02 5.717E-02 3.119E-02 5.394E-03 3.847E-04 3.766E-05 2.915E-05 2.204E-05 2.137E-05 2.165E-05 2.878E-05 8.489E-05 2.430E-04 3.363E-04 1.994E-04 50.0 4.571E-03 3.923E-03 3.632E-03 3.092E-03 4.671E-03 7.038E-03 9.016E-03 1.458E-02 1.980E-02 2.538E-02 2.487E-02 1.584E-02 2.438E-02 3.020E-02 3.134E-02 2.782E-02 2.930E-02 1.500E-02 2.162E-03 1.264E-04 1.760E-05 1.359E-05 1.041E-05 1.044E-05 1.083E-05 1.437E-05 4.158E-05 1.183E-04 1.636E-04 9.704E-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 6.221E+01 6.702E+01 6.525E+01 6.818E+01 8.181E+01 8.902E+01 9.013E+01 9.307E+01 9.167E+01 9.463E+01 9.445E+01 9.231E+01 9.594E+01 9.858E+01 9.880E+01 9.969E+01 1.004E+02 1.019E+02 1.007E+02 9.825E+01 1.022E+02 1.013E+02 1.016E+02 1.018E+02 1.000E+02 9.689E+01 1.023E+02 1.019E+02 9.477E+01 9.254E+01 0.0 4.653E+01 5.014E+01 4.892E+01 5.114E+01 6.166E+01 6.748E+01 6.868E+01 7.145E+01 7.075E+01 7.331E+01 7.320E+01 7.118E+01 7.439E+01 7.665E+01 7.688E+01 7.744E+01 7.804E+01 7.861E+01 7.657E+01 7.379E+01 7.605E+01 7.535E+01 7.559E+01 7.570E+01 7.435E+01 7.198E+01 7.605E+01 7.619E+01 7.119E+01 6.920E+01 5.0 2.434E+01 2.563E+01 2.487E+01 2.547E+01 3.142E+01 3.551E+01 3.700E+01 4.025E+01 4.114E+01 4.354E+01 4.339E+01 4.043E+01 4.392E+01 4.610E+01 4.639E+01 4.614E+01 4.669E+01 4.393E+01 3.517E+01 2.475E+01 1.496E+01 1.411E+01 1.278E+01 1.135E+01 9.818E+00 7.136E+00 5.146E+00 4.905E+00 4.213E+00 2.921E+00 10.0 1.146E+01 1.182E+01 1.144E+01 1.149E+01 1.454E+01 1.702E+01 1.820E+01 2.075E+01 2.195E+01 2.379E+01 2.370E+01 2.117E+01 2.397E+01 2.568E+01 2.597E+01 2.553E+01 2.599E+01 2.283E+01 1.501E+01 7.731E+00 2.764E+00 2.485E+00 2.037E+00 1.611E+00 1.233E+00 6.859E-01 3.885E-01 4.736E-01 4.880E-01 2.783E-01 15.0 5.177E+00 5.231E+00 5.048E+00 4.980E+00 6.466E+00 7.841E+00 8.604E+00 1.029E+01 1.127E+01 1.251E+01 1.247E+01 1.069E+01 1.262E+01 1.380E+01 1.403E+01 1.364E+01 1.398E+01 1.148E+01 6.213E+00 2.353E+00 5.052E-01 4.335E-01 3.230E-01 2.290E-01 1.568E-01 7.205E-02 5.543E-02 1.217E-01 1.604E-01 9.428E-02 20.0 2.291E+00 2.269E+00 2.184E+00 2.117E+00 2.819E+00 3.540E+00 3.986E+00 4.999E+00 5.666E+00 6.441E+00 6.422E+00 5.287E+00 6.506E+00 7.266E+00 7.430E+00 7.147E+00 7.371E+00 5.663E+00 2.530E+00 7.084E-01 9.404E-02 7.722E-02 5.283E-02 3.437E-02 2.194E-02 1.088E-02 1.858E-02 5.279E-02 7.381E-02 4.413E-02 25.0 1.003E+00 9.741E-01 9.354E-01 8.904E-01 1.216E+00 1.581E+00 1.827E+00 2.400E+00 2.814E+00 3.277E+00 3.268E+00 2.585E+00 3.315E+00 3.780E+00 3.887E+00 3.700E+00 3.841E+00 2.763E+00 1.021E+00 2.128E-01 1.865E-02 1.476E-02 9.547E-03 6.108E-03 4.078E-03 3.099E-03 8.495E-03 2.512E-02 3.538E-02 2.123E-02 30.0 4.369E-01 4.160E-01 3.985E-01 3.726E-01 5.218E-01 7.021E-01 8.319E-01 1.145E+00 1.389E+00 1.656E+00 1.652E+00 1.256E+00 1.677E+00 1.953E+00 2.019E+00 1.902E+00 1.988E+00 1.339E+00 4.101E-01 6.414E-02 4.256E-03 3.297E-03 2.144E-03 1.516E-03 1.197E-03 1.326E-03 4.089E-03 1.209E-02 1.703E-02 1.023E-02 35.0 1.898E-01 1.772E-01 1.693E-01 1.555E-01 2.233E-01 3.108E-01 3.776E-01 5.441E-01 6.826E-01 8.330E-01 8.318E-01 6.076E-01 8.452E-01 1.004E+00 1.044E+00 9.737E-01 1.024E+00 6.468E-01 1.644E-01 1.952E-02 1.218E-03 9.446E-04 6.539E-04 5.407E-04 4.961E-04 6.393E-04 1.984E-03 5.836E-03 8.215E-03 4.936E-03 40.0 8.236E-02 7.537E-02 7.182E-02 6.483E-02 9.539E-02 1.374E-01 1.711E-01 2.581E-01 3.348E-01 4.182E-01 4.177E-01 2.934E-01 4.249E-01 5.152E-01 5.387E-01 4.971E-01 5.262E-01 3.116E-01 6.585E-02 6.036E-03 4.430E-04 3.469E-04 2.570E-04 2.379E-04 2.359E-04 3.164E-04 9.662E-04 2.824E-03 3.971E-03 2.388E-03 45.0 3.570E-02 3.203E-02 3.045E-02 2.700E-02 4.072E-02 6.065E-02 7.745E-02 1.223E-01 1.640E-01 2.096E-01 2.095E-01 1.415E-01 2.133E-01 2.639E-01 2.775E-01 2.534E-01 2.700E-01 1.499E-01 2.638E-02 1.913E-03 1.904E-04 1.498E-04 1.152E-04 1.134E-04 1.167E-04 1.576E-04 4.718E-04 1.371E-03 1.926E-03 1.158E-03 50.0 1.547E-02 1.361E-02 1.290E-02 1.124E-02 1.737E-02 2.676E-02 3.504E-02 5.790E-02 8.027E-02 1.050E-01 1.050E-01 6.816E-02 1.070E-01 1.350E-01 1.428E-01 1.291E-01 1.384E-01 7.207E-02 1.057E-02 6.287E-04 8.899E-05 6.987E-05 5.436E-05 5.543E-05 5.837E-05 7.868E-05 2.311E-04 6.673E-04 9.366E-04 5.637E-04 PAR as a function of depth The wavelengths used for this PAR calculation were 400.0 to 700.0 nm depth PAR(from Eo) PAR(from Ed) (m) (mumol phot/m^2/s) (mumol phot/m^2/s) in air 2.7793E+03 1.8379E+03 0.00 2.1084E+03 1.7934E+03 5.00 8.3343E+02 6.4615E+02 10.00 3.9249E+02 2.9097E+02 15.00 1.9083E+02 1.3824E+02 20.00 9.3119E+01 6.6610E+01 25.00 4.5438E+01 3.2272E+01 30.00 2.2187E+01 1.5693E+01 35.00 1.0850E+01 7.6563E+00 40.00 5.3180E+00 3.7472E+00 45.00 2.6128E+00 1.8395E+00 50.00 1.2870E+00 9.0564E-01 K-function for PAR (units of 1/meter) (valid only when zupper and zlower are closely spaced) zupper zlower z KPAR(from Eo) 0.000 0.010 0.005 0.22261 5.000 5.010 5.005 0.15964 10.000 10.010 10.005 0.14556 15.000 15.010 15.005 0.14358 20.000 20.010 20.005 0.14350 25.000 25.010 25.005 0.14347 30.000 30.010 30.005 0.14324 35.000 35.010 35.005 0.14285 40.000 40.010 40.005 0.14238 45.000 45.010 45.005 0.14188 50.000 50.010 50.005 0.14138 CIE 1931 chromaticity coordinates (x,y) and (il)luminance Y for selected quantities. Output is (x,y,Y). Y is illuminance in lm/m^2 for Ed and Eu; Y is luminance in lm/(m^2 sr) for Lu and Lw depth Ed Eu Lu Lw in air (0.328, 0.340, 1.023E+05) (0.306, 0.331, 4.209E+03) (0.299, 0.332, 8.092E+02) (0.237, 0.317, 2.376E+02) 0.00 (0.327, 0.340, 9.999E+04) (0.239, 0.321, 1.884E+03) (0.237, 0.317, 4.408E+02) 5.00 (0.269, 0.358, 4.591E+04) (0.221, 0.337, 1.063E+03) (0.220, 0.334, 2.304E+02) 10.00 (0.245, 0.377, 2.236E+04) (0.214, 0.357, 5.673E+02) (0.214, 0.353, 1.186E+02) 15.00 (0.235, 0.396, 1.110E+04) (0.213, 0.377, 2.948E+02) (0.213, 0.372, 6.037E+01) 20.00 (0.231, 0.414, 5.540E+03) (0.213, 0.397, 1.509E+02) (0.213, 0.391, 3.052E+01) 25.00 (0.229, 0.433, 2.770E+03) (0.214, 0.416, 7.655E+01) (0.214, 0.410, 1.537E+01) 30.00 (0.229, 0.450, 1.386E+03) (0.215, 0.434, 3.865E+01) (0.215, 0.429, 7.724E+00) 35.00 (0.230, 0.467, 6.946E+02) (0.217, 0.451, 1.947E+01) (0.217, 0.446, 3.879E+00) 40.00 (0.231, 0.482, 3.484E+02) (0.219, 0.468, 9.798E+00) (0.219, 0.462, 1.948E+00) 45.00 (0.232, 0.497, 1.749E+02) (0.221, 0.483, 4.930E+00) (0.220, 0.478, 9.789E-01) 50.00 (0.234, 0.511, 8.790E+01) (0.223, 0.497, 2.481E+00) (0.222, 0.492, 4.922E-01) The final depth-averaged photopic alpha and K are alpha = 0.5765 1/m and K = 0.1456 1/m The final estimate for the Secchi depth is z_SD = 11.08 m Run completed on 07/19/2011 at 15:23:31.6 Total (wall clock) run time = 215.8 sec