======================================================== | | | HYDROLIGHT Version 5.1.0 (MAIN CODE) | | Copyright (c) 2013 by Curtis D. Mobley | | | | This copy of HE5 is licensed solely to | | U Maine Optics Summer Class 2013 | | | | S/N Maine-500-31Aug2013 | | | | THIS PROGRAM IS EXPERIMENTAL AND IS LICENSED "AS IS" | | WITHOUT REPRESENTATION OF WARRANTY OF ANY KIND, | | EITHER EXPRESS OR IMPLIED. THE ENTIRE RISK AS TO | | THE QUALITY AND PERFORMANCE OF HYDROLIGHT IS WITH | | THE USER. HYDROLIGHT IS NOT FAULT TOLERANT. | | | ======================================================== RUN TITLE: R1 (07/18/2013 16:58) Run started on 07/18/2013 at 16:58:10.3 The radiance distribution is computed on the following (Theta,Phi,Depth,Wavelength) grid: I Theta Mu J Phi K zeta z L Lambda (deg) (deg) (m) (nm) 1 87.500 0.0436 1 0.00 1 0.000 1 405.00 2 80.000 0.1730 2 15.00 2 0.010 2 415.00 3 70.000 0.3407 3 30.00 3 1.000 3 425.00 4 60.000 0.4981 4 45.00 4 1.010 4 435.00 5 50.000 0.6403 5 60.00 5 2.000 5 445.00 6 40.000 0.7631 6 75.00 6 2.010 6 455.00 7 30.000 0.8627 7 90.00 7 3.000 7 465.00 8 20.000 0.9361 8 105.00 8 3.010 8 475.00 9 10.000 0.9811 9 120.00 9 4.000 9 485.00 10 0.000 0.9981 10 135.00 10 4.010 10 495.00 11 150.00 11 4.990 11 505.00 12 165.00 12 5.000 12 515.00 13 180.00 13 525.00 14 195.00 14 535.00 15 210.00 15 545.00 16 225.00 16 555.00 17 240.00 17 565.00 18 255.00 18 575.00 19 270.00 19 585.00 20 285.00 20 595.00 21 300.00 21 605.00 22 315.00 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 "abacbb" is being used: Absorption and beam attenuation coefficients as obtained from a WETLabs ac-9 will be read from a file named: C:\HE5\data\user\ACs_DRE_total.txt (2D interpolation in depth and wavelength is used to define a and b at all depths and wavelengths) component 1 is pure water component 2 is "everything else" CDOM absorption values will be reported as Component 3 (only used for fluorescence calculations) Chlorophyll absorption values will be reported as Component 4 (only used for fluorescence calculations) Note: Total absorption will be given by the sum of components 1 and 2. Output for additional components are provided solely for informational purposes to indicate what values are used in the fluorescence calculations. 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 data file header records from C:\HE5\data\user\ACs_DRE_total.txt are: EXAMPLE UNFILTERED AC-9 DATA FILE showing the Hydrolight Standard Format for ac-9 data. (These data were obtained in conjunction with files AC9_filtered.txt and Hydroscat6.txt.) 2 records read ***data: 1 1 0.50 401.00 8.110E-01 3.219E+00 ***data: 1 2 0.50 406.00 7.870E-01 3.200E+00 ***data: 1 3 0.50 410.00 7.470E-01 3.183E+00 ***data: 1 4 0.50 414.00 7.130E-01 3.170E+00 ***data: 1 5 0.50 418.00 6.770E-01 3.154E+00 ***data: 1 6 0.50 423.00 6.360E-01 3.143E+00 ***data: 1 7 0.50 428.00 5.940E-01 3.134E+00 ***data: 1 8 0.50 432.00 5.580E-01 3.121E+00 ***data: 1 9 0.50 437.00 5.230E-01 3.111E+00 ***data: 1 10 0.50 441.00 4.880E-01 3.105E+00 ***data: 1 11 0.50 446.00 4.530E-01 3.098E+00 ***data: 1 12 0.50 451.00 4.230E-01 3.086E+00 ***data: 1 13 0.50 455.00 3.950E-01 3.077E+00 ***data: 1 14 0.50 460.00 3.710E-01 3.061E+00 ***data: 1 15 0.50 464.00 3.470E-01 3.050E+00 ***data: 1 16 0.50 469.00 3.260E-01 3.036E+00 ***data: 1 17 0.50 474.00 3.080E-01 3.019E+00 ***data: 1 18 0.50 479.00 2.890E-01 3.007E+00 ***data: 1 19 0.50 484.00 2.710E-01 2.996E+00 ***data: 1 20 0.50 489.00 2.550E-01 2.981E+00 ***data: 1 21 0.50 494.00 2.390E-01 2.968E+00 ***data: 1 22 0.50 498.00 2.240E-01 2.955E+00 ***data: 1 23 0.50 503.00 2.100E-01 2.940E+00 ***data: 1 24 0.50 508.00 1.960E-01 2.929E+00 ***data: 1 25 0.50 513.00 1.840E-01 2.913E+00 ***data: 1 26 0.50 518.00 1.720E-01 2.900E+00 ***data: 1 27 0.50 523.00 1.620E-01 2.885E+00 ***data: 1 28 0.50 528.00 1.520E-01 2.869E+00 ***data: 1 29 0.50 533.00 1.430E-01 2.852E+00 ***data: 1 30 0.50 538.00 1.350E-01 2.836E+00 ***data: 1 31 0.50 542.00 1.270E-01 2.821E+00 ***data: 1 32 0.50 547.00 1.200E-01 2.805E+00 ***data: 1 33 0.50 552.00 1.140E-01 2.789E+00 ***data: 1 34 0.50 557.00 1.070E-01 2.774E+00 ***data: 1 35 0.50 562.00 1.010E-01 2.760E+00 ***data: 1 36 0.50 566.00 9.500E-02 2.747E+00 ***data: 1 37 0.50 571.00 9.100E-02 2.731E+00 ***data: 1 38 0.50 575.00 8.600E-02 2.718E+00 ***data: 1 39 0.50 579.00 8.200E-02 2.704E+00 ***data: 1 40 0.50 583.00 7.800E-02 2.690E+00 ***data: 1 41 0.50 587.00 7.400E-02 2.677E+00 ***data: 1 42 0.50 592.00 7.000E-02 2.664E+00 ***data: 1 43 0.50 596.00 6.700E-02 2.650E+00 ***data: 1 44 0.50 602.00 6.100E-02 2.631E+00 ***data: 1 45 0.50 606.00 5.800E-02 2.617E+00 ***data: 1 46 0.50 611.00 5.600E-02 2.602E+00 ***data: 1 47 0.50 616.00 5.400E-02 2.588E+00 ***data: 1 48 0.50 621.00 5.300E-02 2.572E+00 ***data: 1 49 0.50 625.00 5.100E-02 2.559E+00 ***data: 1 50 0.50 630.00 5.000E-02 2.542E+00 ***data: 1 51 0.50 634.00 4.900E-02 2.529E+00 ***data: 1 52 0.50 638.00 4.700E-02 2.517E+00 ***data: 1 53 0.50 643.00 4.600E-02 2.504E+00 ***data: 1 54 0.50 647.00 4.600E-02 2.490E+00 ***data: 1 55 0.50 652.00 4.600E-02 2.475E+00 ***data: 1 56 0.50 656.00 4.800E-02 2.460E+00 ***data: 1 57 0.50 661.00 5.100E-02 2.444E+00 ***data: 1 58 0.50 665.00 5.400E-02 2.428E+00 ***data: 1 59 0.50 669.00 5.700E-02 2.415E+00 ***data: 1 60 0.50 673.00 5.800E-02 2.404E+00 ***data: 1 61 0.50 678.00 5.500E-02 2.396E+00 ***data: 1 62 0.50 681.00 5.100E-02 2.391E+00 ***data: 1 63 0.50 685.00 4.600E-02 2.385E+00 ***data: 1 64 0.50 689.00 4.000E-02 2.379E+00 ***data: 1 65 0.50 693.00 3.400E-02 2.373E+00 ***data: 1 66 0.50 696.00 2.900E-02 2.367E+00 ***data: 1 67 0.50 700.00 2.600E-02 2.359E+00 ***data: 1 68 0.50 703.00 2.300E-02 2.351E+00 ***data: 1 69 0.50 706.00 2.100E-02 2.343E+00 ***data: 1 70 0.50 709.00 2.000E-02 2.335E+00 ***data: 1 71 0.50 712.00 1.700E-02 2.328E+00 ***data: 1 72 0.50 715.00 1.500E-02 2.322E+00 ***data: 1 73 0.50 718.00 1.300E-02 2.314E+00 ***data: 1 74 0.50 722.00 1.200E-02 2.305E+00 ***data: 1 75 0.50 724.00 8.000E-03 2.299E+00 ***data: 1 76 0.50 727.00 5.000E-03 2.293E+00 ***data: 1 77 0.50 730.00 0.000E+00 2.288E+00 CDOM absorption will be obtained from FILTERED WETLabs ac-9 data and will be read from a file named: C:\HE5\data\user\ACs_DRE_filter.txt The data file header records from C:\HE5\data\user\ACs_DRE_filter.txt are: EXAMPLE UNFILTERED AC-9 DATA FILE showing the Hydrolight Standard Format for ac-9 data. (These data were obtained in conjunction with files AC9_filtered.txt and Hydroscat6.txt.) 2 records read The phase function for component 1 comes from a file titled pure sea water (Rayleigh-like phase function); standard quad partition; 7 Sept 98 The phase function for component 2 will be chosen to have a bb/b ratio of 0.0100 The chlorophyll concentration is constant with depth with a value of 1.00 (mg/m^3) Specific Absorption for component 4 read in from file: C:\HE5\data\examples\astarchl.txt 91 records read ***** 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 ***** The sun's zenith angle is computed from Julian day = 196 latitude = 44.0000 degrees (N is positive) longitude = -69.0000 degrees (E is positive) GMT = 21.00 hours The computed solar zenith angle is 57.07 degrees The computed solar azimuth angle is 269.19 degrees (relative to true north) The computed solar azimuth angle is not used by Hydolight, which places the sun at 0.00 degrees azimuth relative to the downwind direction. Normalized sky radiances are computed using sky model "HCNRAD" (Harrison and Coombes Normalized RADiances) The cloud fraction is cloud = 0.0 (0 for a clear sky to 1 for a heavy overcast) The sun is placed in quad Q(r,s) = Q( 4, 1) centered at (theta, phi) = (60.000, 0.000) Diffuse and Direct Sky irradiances are computed using the "RADTRANX" (RADTRAN eXtended for 300-1000 nm) model The RADTRAN clear-sky irradiances are adjusted for cloudiness by the model of Kasten and Czeplak The ozone concentration is computed from climatology using Day of Year = 196 latitude = 44.0000 degrees (N is positive) longitude = -69.0000 degrees (E is positive) Binned Monthly Average TOMS v8 Ozone concentrations (in Dobson units) for use in HE5; Sept 2007 Data from 2000-2004 were averaged to give 5-year climatological averages for 5 x 10 deg latitude x longitude regions. For missing data near the poles, the zonal average of the nearest valid latitude band is used. Parameter values used in the RADTRANX model: Solar zenith angle = 57.1 degrees Pressure = 29.9 in. mercury Day of year = 196 Air mass type = 1.0 Relative Humidity = 80.0 % Precipitable water = 2.5 cm 24-hr wind speed = 2.0 m/sec Current wind speed = 2.0 m/sec Visibility = 15.0 km Total ozone = 322.8 Dobson units Irradiances are computed just above the sea surface Aerosol optical thickness at 550 nm = 0.261 ***** END ATMOSPHERIC MODEL SPECIFICATIONS ***** ***** BEGIN AIR-WATER SURFACE SPECIFICATIONS ***** The air-water surface is for a wind speed of 2.0 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 opaque reflecting surface at depth 5.00 m The bottom bidirectional reflectance distribution function (BRDF) is Lambertian: BRDF(mu',phi',mu,phi) = R/pi The bottom reflectance R is obtained from measured values read from a file named: ..\data\botmrefl\avg_dark_sediment.txt (Linear interpolation is used to define R at all wavelengths) The data file header records from ..\data\botmrefl\avg_dark_sediment.txt are: Bottom reflectance spectrum for "AVERAGE DARK SEDIMENT" Based on measurements between 400 and 750 nm 141 records read ***** END BOTTOM BOUNDARY SPECIFICATIONS ***** ***** WARNING MESSAGES FOR INPUT DATA FILES ***** NUMBER OF FILES WITH WARNINGS: 2 Data file: C:\HE5\data\user\ACs_DRE_total.txt does not extend over the full range of depths and wavelengths selected for this run. For depths less than 0.5 m the value at 0.5 m will be used For depths greater than 0.5 m the value at 0.5 m will be used Data file: C:\HE5\data\user\ACs_DRE_filter.txt does not extend over the full range of depths and wavelengths selected for this run. For depths less than 0.5 m the value at 0.5 m will be used For depths greater than 0.5 m the value at 0.5 m will be used HYDROLIGHT/ECOLIGHT OUTPUTS MAY BE UNPHYSICAL OR INACCURATE FOR DEPTHS AND WAVELENGTHS OUTSIDE THE RANGE OF THE INPUT DATA. ***** END WARNING MESSAGES FOR INPUT DATA FILES ***** Initialization of Hydrolight Completed in 0.2 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 RADTRANX clear-sky spectral irradiances averaged over the band from 400.0 nm to 410.0 nm: Ed(diffuse) = 3.322E-01 Ed(direct) = 2.296E-01 Ed(total) = 5.618E-01 Absorption Coefficients of Individual Components at 405.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0053 0.7918 0.5900 0.0391 0.7971 3 4.008 1.000 0.0053 0.7918 0.5900 0.0391 0.7971 5 8.016 2.000 0.0053 0.7918 0.5900 0.0391 0.7971 7 12.024 3.000 0.0053 0.7918 0.5900 0.0391 0.7971 9 16.032 4.000 0.0053 0.7918 0.5900 0.0391 0.7971 12 20.040 5.000 0.0053 0.7918 0.5900 0.0391 0.7971 Scattering Coefficients of Individual Components at 405.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0072 3.2038 0.0000 0.0000 3.2110 3 4.008 1.000 0.0072 3.2038 0.0000 0.0000 3.2110 5 8.016 2.000 0.0072 3.2038 0.0000 0.0000 3.2110 7 12.024 3.000 0.0072 3.2038 0.0000 0.0000 3.2110 9 16.032 4.000 0.0072 3.2038 0.0000 0.0000 3.2110 12 20.040 5.000 0.0072 3.2038 0.0000 0.0000 3.2110 Backscattering Coefficients of Individual Components at 405.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00359 0.03204 0.00000 0.00000 0.03563 3 4.008 1.000 0.00359 0.03204 0.00000 0.00000 0.03563 5 8.016 2.000 0.00359 0.03204 0.00000 0.00000 0.03563 7 12.024 3.000 0.00359 0.03204 0.00000 0.00000 0.03563 9 16.032 4.000 0.00359 0.03204 0.00000 0.00000 0.03563 12 20.040 5.000 0.00359 0.03204 0.00000 0.00000 0.03563 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 0.7971 3.2110 4.0081 0.8011 0.03563 0.01110 3 4.008 1.000 0.7971 3.2110 4.0081 0.8011 0.03563 0.01110 5 8.016 2.000 0.7971 3.2110 4.0081 0.8011 0.03563 0.01110 7 12.024 3.000 0.7971 3.2110 4.0081 0.8011 0.03563 0.01110 9 16.032 4.000 0.7971 3.2110 4.0081 0.8011 0.03563 0.01110 12 20.040 5.000 0.7971 3.2110 4.0081 0.8011 0.03563 0.01110 The bottom reflectance at wavelength 405.0 nm is R = 0.161 Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 405.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.2858E-01 1.3230E+00 1.5516E+00 5.1783E-02 5.6180E-01 0.2265 0.4246 0.3287 9.2174E-02 1 0.00 0.00 2.8356E-02 6.8733E-01 7.1569E-01 1.0676E-02 5.2068E-01 0.3765 0.7575 0.7126 2.0504E-02 3 4.01 1.00 1.0382E-02 2.2656E-01 2.3694E-01 3.6254E-03 1.6084E-01 0.3492 0.7099 0.6635 2.2541E-02 5 8.02 2.00 3.0990E-03 6.7636E-02 7.0735E-02 1.0832E-03 4.8594E-02 0.3495 0.7185 0.6717 2.2292E-02 7 12.02 3.00 9.4386E-04 2.0481E-02 2.1425E-02 3.4080E-04 1.5023E-02 0.3611 0.7335 0.6853 2.2685E-02 9 16.03 4.00 3.6294E-04 6.3811E-03 6.7440E-03 1.5605E-04 4.7563E-03 0.4300 0.7454 0.6821 3.2809E-02 12 20.04 5.00 4.9420E-04 2.0559E-03 2.5501E-03 2.4710E-04 1.5374E-03 0.5000 0.7478 0.5060 1.6073E-01 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 0.69588 0.95123 0.94110 0.85855 1.11420 1.11956 1.05750 1.000 1.010 1.005 1.17624 1.19650 1.19561 1.19202 1.20117 1.20138 1.19592 2.000 2.010 2.005 1.21647 1.20750 1.20789 1.20309 1.18694 1.18658 1.14949 3.000 3.010 3.005 1.13747 1.18004 1.17817 1.06939 1.16093 1.16306 0.82558 4.000 4.010 4.005 0.61093 1.15262 1.12339 0.29627 1.14004 1.16879 -0.13520 4.990 5.000 4.995 -2.62560 1.05868 0.35520 -1.31390 1.10841 1.56568 -0.69413 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 405.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 3.69727E-02 1.11323E-03 8.09497E-04 1.92273E-03 1.98155E-03 0.021894 9 1 10.0 0.0 180.0 3.18929E-02 1.12993E-03 6.84753E-04 1.81468E-03 2.01126E-03 0.021470 9 4 10.0 45.0 135.0 3.30452E-02 1.12508E-03 7.15863E-04 1.84094E-03 2.00264E-03 0.021663 9 7 10.0 90.0 90.0 3.69884E-02 1.12491E-03 8.05066E-04 1.92998E-03 2.00233E-03 0.021765 8 1 20.0 0.0 180.0 3.06264E-02 1.15018E-03 6.65656E-04 1.81584E-03 2.04732E-03 0.021735 8 4 20.0 45.0 135.0 3.18647E-02 1.13885E-03 6.90979E-04 1.82982E-03 2.02714E-03 0.021685 8 7 20.0 90.0 90.0 3.75337E-02 1.14516E-03 8.20403E-04 1.96556E-03 2.03838E-03 0.021858 7 1 30.0 0.0 180.0 3.16539E-02 1.18331E-03 7.21470E-04 1.90478E-03 2.10630E-03 0.022792 7 4 30.0 45.0 135.0 3.24543E-02 1.17749E-03 7.39244E-04 1.91673E-03 2.09593E-03 0.022778 7 7 30.0 90.0 90.0 3.87817E-02 1.18476E-03 8.83204E-04 2.06796E-03 2.10886E-03 0.022774 6 1 40.0 0.0 180.0 3.54716E-02 1.22229E-03 9.43432E-04 2.16573E-03 2.17568E-03 0.026597 6 4 40.0 45.0 135.0 3.52506E-02 1.21308E-03 9.35766E-04 2.14884E-03 2.15927E-03 0.026546 6 7 40.0 90.0 90.0 4.12494E-02 1.22377E-03 1.08810E-03 2.31187E-03 2.17831E-03 0.026378 5 1 50.0 0.0 180.0 4.32348E-02 1.26980E-03 1.61357E-03 2.88337E-03 2.26024E-03 0.037321 5 4 50.0 45.0 135.0 4.12047E-02 1.25302E-03 1.53480E-03 2.78782E-03 2.23037E-03 0.037248 5 7 50.0 90.0 90.0 4.58110E-02 1.28123E-03 1.68832E-03 2.96955E-03 2.28059E-03 0.036854 4 1 60.0 0.0 180.0 5.75089E-02 1.28837E-03 3.94725E-03 5.23562E-03 2.29329E-03 0.068637 4 4 60.0 45.0 135.0 5.24529E-02 1.26665E-03 3.57109E-03 4.83774E-03 2.25463E-03 0.068082 4 7 60.0 90.0 90.0 5.41517E-02 1.31588E-03 3.61523E-03 4.93111E-03 2.34227E-03 0.066761 3 1 70.0 0.0 180.0 8.46874E-02 1.22296E-03 1.34601E-02 1.46830E-02 2.17686E-03 0.158938 3 4 70.0 45.0 135.0 7.43046E-02 1.21731E-03 1.16671E-02 1.28844E-02 2.16681E-03 0.157017 3 7 70.0 90.0 90.0 7.05452E-02 1.27301E-03 1.08726E-02 1.21456E-02 2.26596E-03 0.154122 2 1 80.0 0.0 180.0 1.44442E-01 1.02120E-03 4.69108E-02 4.79320E-02 1.81773E-03 0.324772 2 4 80.0 45.0 135.0 1.23152E-01 1.00338E-03 4.04234E-02 4.14267E-02 1.78601E-03 0.328240 2 7 80.0 90.0 90.0 1.07486E-01 1.07387E-03 3.58725E-02 3.69464E-02 1.91148E-03 0.333740 1 1 87.5 0.0 180.0 2.27482E-01 7.66928E-04 9.89707E-02 9.97376E-02 1.36513E-03 0.435070 1 4 87.5 45.0 135.0 1.91266E-01 7.34740E-04 8.79953E-02 8.87301E-02 1.30784E-03 0.460068 1 7 87.5 90.0 90.0 1.57808E-01 7.90143E-04 7.70779E-02 7.78680E-02 1.40645E-03 0.488429 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 1.923E-03 3.697E-02 1.636E-01 1.178E-01 4.795E-01 3.422E-03 2.693E+01 1.113E-03 1.982E-03 1 0.00 0.00 2.058E-03 6.635E-02 5.692E-03 7.242E-03 1.720E-02 3.952E-03 5.188E+00 3 4.01 1.00 6.497E-04 4.355E-02 2.334E-03 3.293E-03 8.757E-03 4.039E-03 5.580E+00 5 8.02 2.00 1.988E-04 2.097E-02 7.760E-04 1.084E-03 2.338E-03 4.092E-03 5.448E+00 7 12.02 3.00 7.086E-05 8.668E-03 2.555E-04 3.417E-04 5.995E-04 4.717E-03 4.809E+00 9 16.03 4.00 4.822E-05 3.286E-03 8.671E-05 1.096E-04 1.629E-04 1.014E-02 3.236E+00 12 20.04 5.00 7.865E-05 1.183E-03 6.320E-05 6.633E-05 7.254E-05 5.116E-02 3.142E+00 Waveband 1 of 30 completed in 2.5 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 RADTRANX clear-sky spectral irradiances averaged over the band from 410.0 nm to 420.0 nm: Ed(diffuse) = 3.418E-01 Ed(direct) = 2.600E-01 Ed(total) = 6.018E-01 Absorption Coefficients of Individual Components at 415.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0044 0.7040 0.5185 0.0442 0.7084 3 3.881 1.000 0.0044 0.7040 0.5185 0.0442 0.7084 5 7.762 2.000 0.0044 0.7040 0.5185 0.0442 0.7084 7 11.643 3.000 0.0044 0.7040 0.5185 0.0442 0.7084 9 15.524 4.000 0.0044 0.7040 0.5185 0.0442 0.7084 12 19.405 5.000 0.0044 0.7040 0.5185 0.0442 0.7084 Scattering Coefficients of Individual Components at 415.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0065 3.1660 0.0000 0.0000 3.1725 3 3.881 1.000 0.0065 3.1660 0.0000 0.0000 3.1725 5 7.762 2.000 0.0065 3.1660 0.0000 0.0000 3.1725 7 11.643 3.000 0.0065 3.1660 0.0000 0.0000 3.1725 9 15.524 4.000 0.0065 3.1660 0.0000 0.0000 3.1725 12 19.405 5.000 0.0065 3.1660 0.0000 0.0000 3.1725 Backscattering Coefficients of Individual Components at 415.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00323 0.03166 0.00000 0.00000 0.03489 3 3.881 1.000 0.00323 0.03166 0.00000 0.00000 0.03489 5 7.762 2.000 0.00323 0.03166 0.00000 0.00000 0.03489 7 11.643 3.000 0.00323 0.03166 0.00000 0.00000 0.03489 9 15.524 4.000 0.00323 0.03166 0.00000 0.00000 0.03489 12 19.405 5.000 0.00323 0.03166 0.00000 0.00000 0.03489 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 0.7084 3.1725 3.8809 0.8175 0.03489 0.01100 3 3.881 1.000 0.7084 3.1725 3.8809 0.8175 0.03489 0.01100 5 7.762 2.000 0.7084 3.1725 3.8809 0.8175 0.03489 0.01100 7 11.643 3.000 0.7084 3.1725 3.8809 0.8175 0.03489 0.01100 9 15.524 4.000 0.7084 3.1725 3.8809 0.8175 0.03489 0.01100 12 19.405 5.000 0.7084 3.1725 3.8809 0.8175 0.03489 0.01100 The bottom reflectance at wavelength 415.0 nm is R = 0.168 Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 415.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.4080E-01 1.4091E+00 1.6499E+00 5.5564E-02 6.0184E-01 0.2307 0.4271 0.3311 9.2324E-02 1 0.00 0.00 3.3791E-02 7.4032E-01 7.7411E-01 1.2779E-02 5.5903E-01 0.3782 0.7551 0.7057 2.2860E-02 3 3.88 1.00 1.4022E-02 2.7601E-01 2.9003E-01 4.9106E-03 1.9439E-01 0.3502 0.7043 0.6533 2.5261E-02 5 7.76 2.00 4.7356E-03 9.2723E-02 9.7459E-02 1.6585E-03 6.5840E-02 0.3502 0.7101 0.6586 2.5189E-02 7 11.64 3.00 1.6289E-03 3.1361E-02 3.2990E-02 5.9349E-04 2.2701E-02 0.3643 0.7239 0.6701 2.6144E-02 9 15.52 4.00 7.1547E-04 1.0870E-02 1.1585E-02 3.1264E-04 7.9927E-03 0.4370 0.7353 0.6629 3.9116E-02 12 19.40 5.00 9.6534E-04 3.8915E-03 4.8569E-03 4.8267E-04 2.8700E-03 0.5000 0.7375 0.4915 1.6818E-01 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 0.60079 0.84032 0.82985 0.75088 0.99883 1.00464 0.94271 1.000 1.010 1.005 1.04841 1.07396 1.07273 1.06712 1.08389 1.08433 1.07289 2.000 2.010 2.005 1.09642 1.09379 1.09392 1.08128 1.07568 1.07554 1.01339 3.000 3.010 3.005 1.01012 1.07204 1.06898 0.92834 1.05365 1.05701 0.65340 4.000 4.010 4.005 0.49107 1.04696 1.01254 0.19564 1.03459 1.06889 -0.17391 4.990 5.000 4.995 -2.25785 0.95768 0.32675 -1.14563 1.00404 1.43311 -0.61183 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 415.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 3.80505E-02 1.32964E-03 8.33094E-04 2.16274E-03 2.20931E-03 0.021894 9 1 10.0 0.0 180.0 3.28225E-02 1.34683E-03 7.04713E-04 2.05154E-03 2.23787E-03 0.021470 9 4 10.0 45.0 135.0 3.40085E-02 1.34194E-03 7.36731E-04 2.07867E-03 2.22975E-03 0.021663 9 7 10.0 90.0 90.0 3.80666E-02 1.34400E-03 8.28534E-04 2.17254E-03 2.23317E-03 0.021765 8 1 20.0 0.0 180.0 3.15191E-02 1.36985E-03 6.85060E-04 2.05491E-03 2.27612E-03 0.021735 8 4 20.0 45.0 135.0 3.27936E-02 1.35777E-03 7.11121E-04 2.06889E-03 2.25605E-03 0.021685 8 7 20.0 90.0 90.0 3.86278E-02 1.36896E-03 8.44318E-04 2.21328E-03 2.27465E-03 0.021858 7 1 30.0 0.0 180.0 3.25767E-02 1.40850E-03 7.42502E-04 2.15100E-03 2.34034E-03 0.022792 7 4 30.0 45.0 135.0 3.34004E-02 1.40350E-03 7.60793E-04 2.16429E-03 2.33204E-03 0.022778 7 7 30.0 90.0 90.0 3.99122E-02 1.41723E-03 9.08949E-04 2.32618E-03 2.35484E-03 0.022774 6 1 40.0 0.0 180.0 3.65056E-02 1.45429E-03 9.70933E-04 2.42522E-03 2.41643E-03 0.026597 6 4 40.0 45.0 135.0 3.62782E-02 1.44595E-03 9.63044E-04 2.40899E-03 2.40256E-03 0.026546 6 7 40.0 90.0 90.0 4.24518E-02 1.46570E-03 1.11981E-03 2.58551E-03 2.43538E-03 0.026378 5 1 50.0 0.0 180.0 4.44951E-02 1.51066E-03 1.66061E-03 3.17127E-03 2.51009E-03 0.037321 5 4 50.0 45.0 135.0 4.24058E-02 1.49376E-03 1.57954E-03 3.07330E-03 2.48201E-03 0.037248 5 7 50.0 90.0 90.0 4.71464E-02 1.53576E-03 1.73752E-03 3.27328E-03 2.55179E-03 0.036854 4 1 60.0 0.0 180.0 5.91853E-02 1.53261E-03 4.06232E-03 5.59493E-03 2.54656E-03 0.068637 4 4 60.0 45.0 135.0 5.39825E-02 1.51024E-03 3.67519E-03 5.18543E-03 2.50939E-03 0.068081 4 7 60.0 90.0 90.0 5.57264E-02 1.57855E-03 3.72056E-03 5.29912E-03 2.62290E-03 0.066765 3 1 70.0 0.0 180.0 8.71560E-02 1.45459E-03 1.38524E-02 1.53070E-02 2.41693E-03 0.158938 3 4 70.0 45.0 135.0 7.64706E-02 1.45143E-03 1.20072E-02 1.34586E-02 2.41167E-03 0.157017 3 7 70.0 90.0 90.0 7.26016E-02 1.52774E-03 1.11894E-02 1.27172E-02 2.53848E-03 0.154121 2 1 80.0 0.0 180.0 1.48653E-01 1.21444E-03 4.82782E-02 4.94927E-02 2.01789E-03 0.324772 2 4 80.0 45.0 135.0 1.26742E-01 1.19634E-03 4.16017E-02 4.27981E-02 1.98782E-03 0.328240 2 7 80.0 90.0 90.0 1.10620E-01 1.28919E-03 3.69182E-02 3.82073E-02 2.14210E-03 0.333740 1 1 87.5 0.0 180.0 2.34113E-01 9.11880E-04 1.01856E-01 1.02768E-01 1.51517E-03 0.435070 1 4 87.5 45.0 135.0 1.96842E-01 8.75917E-04 9.05604E-02 9.14363E-02 1.45541E-03 0.460068 1 7 87.5 90.0 90.0 1.62408E-01 9.48573E-04 7.93247E-02 8.02733E-02 1.57613E-03 0.488428 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 2.163E-03 3.805E-02 1.684E-01 1.213E-01 4.962E-01 3.594E-03 2.569E+01 1.330E-03 2.209E-03 1 0.00 0.00 2.458E-03 6.829E-02 6.642E-03 8.524E-03 2.025E-02 4.396E-03 5.200E+00 3 3.88 1.00 8.761E-04 5.008E-02 3.062E-03 4.359E-03 1.178E-02 4.507E-03 5.605E+00 5 7.76 2.00 3.045E-04 2.690E-02 1.153E-03 1.629E-03 3.596E-03 4.625E-03 5.447E+00 7 11.64 3.00 1.267E-04 1.239E-02 4.260E-04 5.770E-04 1.038E-03 5.583E-03 4.682E+00 9 15.52 4.00 9.797E-05 5.228E-03 1.622E-04 2.075E-04 3.151E-04 1.226E-02 3.191E+00 12 19.40 5.00 1.536E-04 2.095E-03 1.258E-04 1.327E-04 1.467E-04 5.353E-02 3.142E+00 Waveband 2 of 30 completed in 2.2 sec. * * * * * Output for wavelength band 3 (420.0 to 430.0 nm; nominal wavelength = 425.0 nm) * * * * * Index of refraction at this wavelength is 1.340 RADTRANX clear-sky spectral irradiances averaged over the band from 420.0 nm to 430.0 nm: Ed(diffuse) = 3.183E-01 Ed(direct) = 2.636E-01 Ed(total) = 5.819E-01 Absorption Coefficients of Individual Components at 425.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0048 0.6192 0.4482 0.0469 0.6240 3 3.769 1.000 0.0048 0.6192 0.4482 0.0469 0.6240 5 7.538 2.000 0.0048 0.6192 0.4482 0.0469 0.6240 7 11.308 3.000 0.0048 0.6192 0.4482 0.0469 0.6240 9 15.077 4.000 0.0048 0.6192 0.4482 0.0469 0.6240 12 18.846 5.000 0.0048 0.6192 0.4482 0.0469 0.6240 Scattering Coefficients of Individual Components at 425.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0058 3.1394 0.0000 0.0000 3.1452 3 3.769 1.000 0.0058 3.1394 0.0000 0.0000 3.1452 5 7.538 2.000 0.0058 3.1394 0.0000 0.0000 3.1452 7 11.308 3.000 0.0058 3.1394 0.0000 0.0000 3.1452 9 15.077 4.000 0.0058 3.1394 0.0000 0.0000 3.1452 12 18.846 5.000 0.0058 3.1394 0.0000 0.0000 3.1452 Backscattering Coefficients of Individual Components at 425.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00291 0.03139 0.00000 0.00000 0.03431 3 3.769 1.000 0.00291 0.03139 0.00000 0.00000 0.03431 5 7.538 2.000 0.00291 0.03139 0.00000 0.00000 0.03431 7 11.308 3.000 0.00291 0.03139 0.00000 0.00000 0.03431 9 15.077 4.000 0.00291 0.03139 0.00000 0.00000 0.03431 12 18.846 5.000 0.00291 0.03139 0.00000 0.00000 0.03431 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 0.6240 3.1452 3.7692 0.8345 0.03431 0.01091 3 3.769 1.000 0.6240 3.1452 3.7692 0.8345 0.03431 0.01091 5 7.538 2.000 0.6240 3.1452 3.7692 0.8345 0.03431 0.01091 7 11.308 3.000 0.6240 3.1452 3.7692 0.8345 0.03431 0.01091 9 15.077 4.000 0.6240 3.1452 3.7692 0.8345 0.03431 0.01091 12 18.846 5.000 0.6240 3.1452 3.7692 0.8345 0.03431 0.01091 The bottom reflectance at wavelength 425.0 nm is R = 0.170 Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 425.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.2966E-01 1.3553E+00 1.5849E+00 5.3994E-02 5.8191E-01 0.2351 0.4294 0.3331 9.2787E-02 1 0.00 0.00 3.6843E-02 7.2032E-01 7.5717E-01 1.4014E-02 5.4192E-01 0.3804 0.7523 0.6972 2.5859E-02 3 3.77 1.00 1.7216E-02 3.0215E-01 3.1937E-01 6.0584E-03 2.1101E-01 0.3519 0.6984 0.6418 2.8711E-02 5 7.54 2.00 6.5539E-03 1.1374E-01 1.2030E-01 2.3054E-03 7.9766E-02 0.3518 0.7013 0.6439 2.8903E-02 7 11.31 3.00 2.5380E-03 4.2807E-02 4.5345E-02 9.3489E-04 3.0549E-02 0.3684 0.7136 0.6531 3.0604E-02 9 15.08 4.00 1.2507E-03 1.6442E-02 1.7692E-02 5.5097E-04 1.1911E-02 0.4405 0.7245 0.6421 4.6256E-02 12 18.85 5.00 1.6093E-03 6.5103E-03 8.1196E-03 8.0467E-04 4.7306E-03 0.5000 0.7266 0.4835 1.7010E-01 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 0.51537 0.73630 0.72554 0.65046 0.88910 0.89544 0.83348 1.000 1.010 1.005 0.92560 0.95616 0.95451 0.94664 0.97141 0.97214 0.95235 2.000 2.010 2.005 0.97919 0.98395 0.98369 0.96158 0.96856 0.96876 0.87796 3.000 3.010 3.005 0.88829 0.96776 0.96331 0.79684 0.95038 0.95523 0.50967 4.000 4.010 4.005 0.40718 0.94525 0.90711 0.13987 0.93326 0.97190 -0.17646 4.990 5.000 4.995 -1.82996 0.86609 0.33746 -0.96521 0.90508 1.28414 -0.52839 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 425.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 3.54324E-02 1.45735E-03 7.75774E-04 2.23313E-03 2.50442E-03 0.021894 9 1 10.0 0.0 180.0 3.05642E-02 1.47276E-03 6.56226E-04 2.12899E-03 2.53089E-03 0.021470 9 4 10.0 45.0 135.0 3.16685E-02 1.46853E-03 6.86040E-04 2.15457E-03 2.52363E-03 0.021663 9 7 10.0 90.0 90.0 3.54474E-02 1.47357E-03 7.71527E-04 2.24509E-03 2.53228E-03 0.021765 8 1 20.0 0.0 180.0 2.93505E-02 1.49643E-03 6.37925E-04 2.13435E-03 2.57157E-03 0.021735 8 4 20.0 45.0 135.0 3.05372E-02 1.48505E-03 6.62193E-04 2.14724E-03 2.55201E-03 0.021685 8 7 20.0 90.0 90.0 3.59700E-02 1.50180E-03 7.86225E-04 2.28803E-03 2.58080E-03 0.021858 7 1 30.0 0.0 180.0 3.03352E-02 1.53753E-03 6.91414E-04 2.22894E-03 2.64219E-03 0.022792 7 4 30.0 45.0 135.0 3.11023E-02 1.53456E-03 7.08447E-04 2.24301E-03 2.63710E-03 0.022778 7 7 30.0 90.0 90.0 3.71660E-02 1.55578E-03 8.46409E-04 2.40219E-03 2.67356E-03 0.022774 6 1 40.0 0.0 180.0 3.39939E-02 1.58656E-03 9.04128E-04 2.49069E-03 2.72645E-03 0.026597 6 4 40.0 45.0 135.0 3.37821E-02 1.58086E-03 8.96782E-04 2.47764E-03 2.71665E-03 0.026546 6 7 40.0 90.0 90.0 3.95310E-02 1.61098E-03 1.04276E-03 2.65374E-03 2.76842E-03 0.026378 5 1 50.0 0.0 180.0 4.14336E-02 1.64773E-03 1.54635E-03 3.19408E-03 2.83158E-03 0.037321 5 4 50.0 45.0 135.0 3.94881E-02 1.63328E-03 1.47086E-03 3.10415E-03 2.80675E-03 0.037248 5 7 50.0 90.0 90.0 4.39025E-02 1.68928E-03 1.61796E-03 3.30724E-03 2.90298E-03 0.036853 4 1 60.0 0.0 180.0 5.51131E-02 1.67137E-03 3.78282E-03 5.45420E-03 2.87220E-03 0.068637 4 4 60.0 45.0 135.0 5.02688E-02 1.65147E-03 3.42233E-03 5.07380E-03 2.83800E-03 0.068081 4 7 60.0 90.0 90.0 5.18887E-02 1.73766E-03 3.46453E-03 5.20218E-03 2.98611E-03 0.066768 3 1 70.0 0.0 180.0 8.11593E-02 1.58596E-03 1.28993E-02 1.44853E-02 2.72543E-03 0.158938 3 4 70.0 45.0 135.0 7.12091E-02 1.58710E-03 1.11810E-02 1.27681E-02 2.72738E-03 0.157017 3 7 70.0 90.0 90.0 6.76063E-02 1.68221E-03 1.04195E-02 1.21017E-02 2.89083E-03 0.154120 2 1 80.0 0.0 180.0 1.38425E-01 1.32383E-03 4.49565E-02 4.62803E-02 2.27496E-03 0.324772 2 4 80.0 45.0 135.0 1.18021E-01 1.30809E-03 3.87393E-02 4.00474E-02 2.24791E-03 0.328240 2 7 80.0 90.0 90.0 1.03008E-01 1.41985E-03 3.43780E-02 3.57978E-02 2.43998E-03 0.333739 1 1 87.5 0.0 180.0 2.18005E-01 9.93786E-04 9.48476E-02 9.58414E-02 1.70779E-03 0.435070 1 4 87.5 45.0 135.0 1.83298E-01 9.57553E-04 8.43294E-02 8.52870E-02 1.64553E-03 0.460068 1 7 87.5 90.0 90.0 1.51234E-01 1.04462E-03 7.38668E-02 7.49114E-02 1.79515E-03 0.488428 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 425.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 2.233E-03 3.543E-02 1.569E-01 1.131E-01 4.647E-01 3.838E-03 2.418E+01 1.457E-03 2.504E-03 1 0.00 0.00 2.694E-03 6.360E-02 7.096E-03 9.180E-03 2.171E-02 4.971E-03 5.203E+00 3 3.77 1.00 1.079E-03 5.190E-02 3.648E-03 5.233E-03 1.429E-02 5.116E-03 5.612E+00 5 7.54 2.00 4.256E-04 3.093E-02 1.548E-03 2.210E-03 4.967E-03 5.336E-03 5.416E+00 7 11.31 3.00 2.049E-04 1.579E-02 6.397E-04 8.765E-04 1.609E-03 6.707E-03 4.563E+00 9 15.08 4.00 1.725E-04 7.376E-03 2.721E-04 3.516E-04 5.438E-04 1.448E-02 3.195E+00 12 18.85 5.00 2.561E-04 3.271E-03 2.160E-04 2.294E-04 2.570E-04 5.414E-02 3.142E+00 Waveband 3 of 30 completed in 2.1 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 RADTRANX clear-sky spectral irradiances averaged over the band from 430.0 nm to 440.0 nm: Ed(diffuse) = 3.180E-01 Ed(direct) = 2.863E-01 Ed(total) = 6.043E-01 Absorption Coefficients of Individual Components at 435.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0053 0.5370 0.3844 0.0500 0.5423 3 3.663 1.000 0.0053 0.5370 0.3844 0.0500 0.5423 5 7.325 2.000 0.0053 0.5370 0.3844 0.0500 0.5423 7 10.988 3.000 0.0053 0.5370 0.3844 0.0500 0.5423 9 14.650 4.000 0.0053 0.5370 0.3844 0.0500 0.5423 12 18.313 5.000 0.0053 0.5370 0.3844 0.0500 0.5423 Scattering Coefficients of Individual Components at 435.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0053 3.1150 0.0000 0.0000 3.1203 3 3.663 1.000 0.0053 3.1150 0.0000 0.0000 3.1203 5 7.325 2.000 0.0053 3.1150 0.0000 0.0000 3.1203 7 10.988 3.000 0.0053 3.1150 0.0000 0.0000 3.1203 9 14.650 4.000 0.0053 3.1150 0.0000 0.0000 3.1203 12 18.313 5.000 0.0053 3.1150 0.0000 0.0000 3.1203 Backscattering Coefficients of Individual Components at 435.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00264 0.03115 0.00000 0.00000 0.03379 3 3.663 1.000 0.00264 0.03115 0.00000 0.00000 0.03379 5 7.325 2.000 0.00264 0.03115 0.00000 0.00000 0.03379 7 10.988 3.000 0.00264 0.03115 0.00000 0.00000 0.03379 9 14.650 4.000 0.00264 0.03115 0.00000 0.00000 0.03379 12 18.313 5.000 0.00264 0.03115 0.00000 0.00000 0.03379 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 0.5423 3.1203 3.6626 0.8519 0.03379 0.01083 3 3.663 1.000 0.5423 3.1203 3.6626 0.8519 0.03379 0.01083 5 7.325 2.000 0.5423 3.1203 3.6626 0.8519 0.03379 0.01083 7 10.988 3.000 0.5423 3.1203 3.6626 0.8519 0.03379 0.01083 9 14.650 4.000 0.5423 3.1203 3.6626 0.8519 0.03379 0.01083 12 18.313 5.000 0.5423 3.1203 3.6626 0.8519 0.03379 0.01083 The bottom reflectance at wavelength 435.0 nm is R = 0.175 Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 435.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.3564E-01 1.4000E+00 1.6357E+00 5.6558E-02 6.0429E-01 0.2400 0.4316 0.3349 9.3594E-02 1 0.00 0.00 4.3800E-02 7.5373E-01 7.9753E-01 1.6781E-02 5.6450E-01 0.3831 0.7489 0.6868 2.9727E-02 3 3.66 1.00 2.2943E-02 3.5457E-01 3.7752E-01 8.1334E-03 2.4537E-01 0.3545 0.6920 0.6284 3.3148E-02 5 7.33 2.00 9.8356E-03 1.4928E-01 1.5911E-01 3.4874E-03 1.0329E-01 0.3546 0.6919 0.6272 3.3765E-02 7 10.99 3.00 4.2902E-03 6.2412E-02 6.6702E-02 1.6039E-03 4.3852E-02 0.3739 0.7026 0.6334 3.6575E-02 9 14.65 4.00 2.3604E-03 2.6523E-02 2.8883E-02 1.0482E-03 1.8902E-02 0.4441 0.7127 0.6181 5.5452E-02 12 18.31 5.00 2.8950E-03 1.1593E-02 1.4488E-02 1.4475E-03 8.2860E-03 0.5000 0.7147 0.4720 1.7469E-01 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 0.43790 0.63740 0.62643 0.55537 0.78284 0.78982 0.72705 1.000 1.010 1.005 0.80497 0.84069 0.83851 0.82770 0.86152 0.86268 0.83031 2.000 2.010 2.005 0.86177 0.87582 0.87496 0.84048 0.86345 0.86426 0.73839 3.000 3.010 3.005 0.76694 0.86512 0.85881 0.66759 0.84902 0.85591 0.37927 4.000 4.010 4.005 0.33244 0.84521 0.80321 0.09533 0.83388 0.87741 -0.17140 4.990 5.000 4.995 -1.42226 0.77619 0.34076 -0.79440 0.80811 1.14404 -0.44929 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 435.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 3.53982E-02 1.74856E-03 7.75025E-04 2.52359E-03 2.89356E-03 0.021894 9 1 10.0 0.0 180.0 3.05347E-02 1.76237E-03 6.55593E-04 2.41796E-03 2.91641E-03 0.021470 9 4 10.0 45.0 135.0 3.16380E-02 1.75882E-03 6.85378E-04 2.44420E-03 2.91054E-03 0.021663 9 7 10.0 90.0 90.0 3.54132E-02 1.76854E-03 7.70783E-04 2.53932E-03 2.92662E-03 0.021765 8 1 20.0 0.0 180.0 2.93221E-02 1.78848E-03 6.37309E-04 2.42579E-03 2.95962E-03 0.021735 8 4 20.0 45.0 135.0 3.05077E-02 1.77735E-03 6.61554E-04 2.43890E-03 2.94120E-03 0.021685 8 7 20.0 90.0 90.0 3.59353E-02 1.80338E-03 7.85466E-04 2.58884E-03 2.98427E-03 0.021858 7 1 30.0 0.0 180.0 3.03060E-02 1.83585E-03 6.90747E-04 2.52659E-03 3.03800E-03 0.022792 7 4 30.0 45.0 135.0 3.10723E-02 1.83572E-03 7.07763E-04 2.54349E-03 3.03780E-03 0.022778 7 7 30.0 90.0 90.0 3.71302E-02 1.86932E-03 8.45592E-04 2.71492E-03 3.09340E-03 0.022774 6 1 40.0 0.0 180.0 3.39611E-02 1.89264E-03 9.03255E-04 2.79589E-03 3.13198E-03 0.026597 6 4 40.0 45.0 135.0 3.37495E-02 1.89052E-03 8.95917E-04 2.78644E-03 3.12848E-03 0.026546 6 7 40.0 90.0 90.0 3.94928E-02 1.93777E-03 1.04176E-03 2.97952E-03 3.20666E-03 0.026378 5 1 50.0 0.0 180.0 4.13936E-02 1.96483E-03 1.54486E-03 3.50969E-03 3.25145E-03 0.037321 5 4 50.0 45.0 135.0 3.94500E-02 1.95309E-03 1.46944E-03 3.42253E-03 3.23202E-03 0.037248 5 7 50.0 90.0 90.0 4.38602E-02 2.03322E-03 1.61638E-03 3.64960E-03 3.36462E-03 0.036853 4 1 60.0 0.0 180.0 5.50599E-02 1.99224E-03 3.77918E-03 5.77143E-03 3.29681E-03 0.068638 4 4 60.0 45.0 135.0 5.02209E-02 1.97470E-03 3.41904E-03 5.39374E-03 3.26779E-03 0.068080 4 7 60.0 90.0 90.0 5.18350E-02 2.09267E-03 3.46113E-03 5.55380E-03 3.46300E-03 0.066772 3 1 70.0 0.0 180.0 8.10810E-02 1.88968E-03 1.28869E-02 1.47765E-02 3.12709E-03 0.158938 3 4 70.0 45.0 135.0 7.11403E-02 1.89732E-03 1.11703E-02 1.30676E-02 3.13973E-03 0.157017 3 7 70.0 90.0 90.0 6.75410E-02 2.02599E-03 1.04094E-02 1.24354E-02 3.35266E-03 0.154119 2 1 80.0 0.0 180.0 1.38291E-01 1.57672E-03 4.49131E-02 4.64898E-02 2.60919E-03 0.324772 2 4 80.0 45.0 135.0 1.17908E-01 1.56341E-03 3.87019E-02 4.02654E-02 2.58717E-03 0.328240 2 7 80.0 90.0 90.0 1.02909E-01 1.71001E-03 3.43448E-02 3.60548E-02 2.82977E-03 0.333739 1 1 87.5 0.0 180.0 2.17795E-01 1.18322E-03 9.47560E-02 9.59393E-02 1.95801E-03 0.435070 1 4 87.5 45.0 135.0 1.83121E-01 1.14411E-03 8.42480E-02 8.53922E-02 1.89330E-03 0.460068 1 7 87.5 90.0 90.0 1.51088E-01 1.25781E-03 7.37955E-02 7.50533E-02 2.08145E-03 0.488428 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 2.524E-03 3.540E-02 1.569E-01 1.131E-01 4.670E-01 4.176E-03 2.241E+01 1.749E-03 2.894E-03 1 0.00 0.00 3.232E-03 6.355E-02 8.264E-03 1.077E-02 2.528E-02 5.725E-03 5.192E+00 3 3.66 1.00 1.455E-03 5.761E-02 4.703E-03 6.793E-03 1.868E-02 5.929E-03 5.591E+00 5 7.33 2.00 6.530E-04 3.799E-02 2.245E-03 3.234E-03 7.374E-03 6.322E-03 5.341E+00 7 10.99 3.00 3.626E-04 2.143E-02 1.036E-03 1.435E-03 2.681E-03 8.268E-03 4.423E+00 9 14.65 4.00 3.273E-04 1.106E-02 4.920E-04 6.416E-04 1.008E-03 1.731E-02 3.203E+00 12 18.31 5.00 4.607E-04 5.414E-03 4.004E-04 4.280E-04 4.863E-04 5.561E-02 3.142E+00 Waveband 4 of 30 completed in 2.2 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 RADTRANX clear-sky spectral irradiances averaged over the band from 440.0 nm to 450.0 nm: Ed(diffuse) = 3.654E-01 Ed(direct) = 3.535E-01 Ed(total) = 7.189E-01 Absorption Coefficients of Individual Components at 445.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0075 0.4600 0.3222 0.0486 0.4675 3 3.572 1.000 0.0075 0.4600 0.3222 0.0486 0.4675 5 7.143 2.000 0.0075 0.4600 0.3222 0.0486 0.4675 7 10.715 3.000 0.0075 0.4600 0.3222 0.0486 0.4675 9 14.287 4.000 0.0075 0.4600 0.3222 0.0486 0.4675 12 17.858 5.000 0.0075 0.4600 0.3222 0.0486 0.4675 Scattering Coefficients of Individual Components at 445.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0048 3.0994 0.0000 0.0000 3.1042 3 3.572 1.000 0.0048 3.0994 0.0000 0.0000 3.1042 5 7.143 2.000 0.0048 3.0994 0.0000 0.0000 3.1042 7 10.715 3.000 0.0048 3.0994 0.0000 0.0000 3.1042 9 14.287 4.000 0.0048 3.0994 0.0000 0.0000 3.1042 12 17.858 5.000 0.0048 3.0994 0.0000 0.0000 3.1042 Backscattering Coefficients of Individual Components at 445.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00239 0.03099 0.00000 0.00000 0.03338 3 3.572 1.000 0.00239 0.03099 0.00000 0.00000 0.03338 5 7.143 2.000 0.00239 0.03099 0.00000 0.00000 0.03338 7 10.715 3.000 0.00239 0.03099 0.00000 0.00000 0.03338 9 14.287 4.000 0.00239 0.03099 0.00000 0.00000 0.03338 12 17.858 5.000 0.00239 0.03099 0.00000 0.00000 0.03338 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 0.4675 3.1042 3.5717 0.8691 0.03338 0.01075 3 3.572 1.000 0.4675 3.1042 3.5717 0.8691 0.03338 0.01075 5 7.143 2.000 0.4675 3.1042 3.5717 0.8691 0.03338 0.01075 7 10.715 3.000 0.4675 3.1042 3.5717 0.8691 0.03338 0.01075 9 14.287 4.000 0.4675 3.1042 3.5717 0.8691 0.03338 0.01075 12 17.858 5.000 0.4675 3.1042 3.5717 0.8691 0.03338 0.01075 The bottom reflectance at wavelength 445.0 nm is R = 0.181 Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 445.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.7822E-01 1.6579E+00 1.9362E+00 6.8211E-02 7.1889E-01 0.2452 0.4336 0.3361 9.4884E-02 1 0.00 0.00 6.0304E-02 9.0462E-01 9.6493E-01 2.3305E-02 6.7396E-01 0.3865 0.7450 0.6743 3.4579E-02 3 3.57 1.00 3.5046E-02 4.7290E-01 5.0794E-01 1.2549E-02 3.2414E-01 0.3581 0.6854 0.6134 3.8715E-02 5 7.14 2.00 1.6798E-02 2.2092E-01 2.3771E-01 6.0258E-03 1.5074E-01 0.3587 0.6823 0.6088 3.9975E-02 7 10.72 3.00 8.1984E-03 1.0188E-01 1.1008E-01 3.1187E-03 7.0435E-02 0.3804 0.6914 0.6115 4.4278E-02 9 14.29 4.00 4.9687E-03 4.7583E-02 5.2552E-02 2.2202E-03 3.3329E-02 0.4468 0.7004 0.5920 6.6614E-02 12 17.86 5.00 5.7968E-03 2.2805E-02 2.8602E-02 2.8984E-03 1.6015E-02 0.5000 0.7023 0.4586 1.8098E-01 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 0.37131 0.54920 0.53807 0.47002 0.68557 0.69330 0.62792 1.000 1.010 1.005 0.69282 0.73367 0.73085 0.71621 0.76002 0.76179 0.71247 2.000 2.010 2.005 0.75041 0.77507 0.77332 0.72479 0.76587 0.76758 0.60553 3.000 3.010 3.005 0.65438 0.76936 0.76079 0.55118 0.75479 0.76423 0.27436 4.000 4.010 4.005 0.27347 0.75196 0.70662 0.06658 0.74152 0.78987 -0.15823 4.990 5.000 4.995 -1.04478 0.69360 0.34371 -0.63878 0.71834 1.01575 -0.37764 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 4.06749E-02 2.44106E-03 8.90555E-04 3.33162E-03 3.39560E-03 0.021894 9 1 10.0 0.0 180.0 3.50864E-02 2.45321E-03 7.53319E-04 3.20653E-03 3.41250E-03 0.021470 9 4 10.0 45.0 135.0 3.63541E-02 2.45056E-03 7.87544E-04 3.23810E-03 3.40881E-03 0.021663 9 7 10.0 90.0 90.0 4.06921E-02 2.46951E-03 8.85680E-04 3.35519E-03 3.43518E-03 0.021765 8 1 20.0 0.0 180.0 3.36931E-02 2.48585E-03 7.32310E-04 3.21816E-03 3.45791E-03 0.021735 8 4 20.0 45.0 135.0 3.50554E-02 2.47415E-03 7.60168E-04 3.23431E-03 3.44162E-03 0.021685 8 7 20.0 90.0 90.0 4.12920E-02 2.51917E-03 9.02552E-04 3.42172E-03 3.50426E-03 0.021858 7 1 30.0 0.0 180.0 3.48235E-02 2.54858E-03 7.93713E-04 3.34229E-03 3.54517E-03 0.022792 7 4 30.0 45.0 135.0 3.57041E-02 2.55364E-03 8.13267E-04 3.36691E-03 3.55221E-03 0.022778 7 7 30.0 90.0 90.0 4.26650E-02 2.61246E-03 9.71641E-04 3.58410E-03 3.63403E-03 0.022774 6 1 40.0 0.0 180.0 3.90235E-02 2.62385E-03 1.03790E-03 3.66175E-03 3.64987E-03 0.026597 6 4 40.0 45.0 135.0 3.87804E-02 2.62814E-03 1.02947E-03 3.65761E-03 3.65583E-03 0.026546 6 7 40.0 90.0 90.0 4.53798E-02 2.71022E-03 1.19705E-03 3.90726E-03 3.77001E-03 0.026378 5 1 50.0 0.0 180.0 4.75640E-02 2.72208E-03 1.77514E-03 4.49723E-03 3.78651E-03 0.037321 5 4 50.0 45.0 135.0 4.53307E-02 2.71427E-03 1.68849E-03 4.40276E-03 3.77564E-03 0.037248 5 7 50.0 90.0 90.0 5.03982E-02 2.84470E-03 1.85731E-03 4.70201E-03 3.95708E-03 0.036853 4 1 60.0 0.0 180.0 6.32675E-02 2.75816E-03 4.34254E-03 7.10070E-03 3.83670E-03 0.068638 4 4 60.0 45.0 135.0 5.77078E-02 2.74342E-03 3.92871E-03 6.67213E-03 3.81619E-03 0.068079 4 7 60.0 90.0 90.0 5.95578E-02 2.92873E-03 3.97702E-03 6.90575E-03 4.07397E-03 0.066776 3 1 70.0 0.0 180.0 9.31674E-02 2.61447E-03 1.48078E-02 1.74223E-02 3.63682E-03 0.158938 3 4 70.0 45.0 135.0 8.17449E-02 2.63471E-03 1.28354E-02 1.54701E-02 3.66497E-03 0.157017 3 7 70.0 90.0 90.0 7.76091E-02 2.83461E-03 1.19610E-02 1.47956E-02 3.94305E-03 0.154118 2 1 80.0 0.0 180.0 1.58906E-01 2.18008E-03 5.16081E-02 5.37882E-02 3.03257E-03 0.324772 2 4 80.0 45.0 135.0 1.35484E-01 2.17002E-03 4.44711E-02 4.66411E-02 3.01857E-03 0.328240 2 7 80.0 90.0 90.0 1.18249E-01 2.39177E-03 3.94643E-02 4.18561E-02 3.32703E-03 0.333738 1 1 87.5 0.0 180.0 2.50260E-01 1.63521E-03 1.08881E-01 1.10516E-01 2.27463E-03 0.435070 1 4 87.5 45.0 135.0 2.10418E-01 1.58734E-03 9.68065E-02 9.83939E-02 2.20804E-03 0.460068 1 7 87.5 90.0 90.0 1.73610E-01 1.75855E-03 8.47958E-02 8.65544E-02 2.44621E-03 0.488428 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 445.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 3.332E-03 4.067E-02 1.804E-01 1.301E-01 5.396E-01 4.634E-03 2.047E+01 2.441E-03 3.396E-03 1 0.00 0.00 4.512E-03 7.304E-02 1.116E-02 1.465E-02 3.396E-02 6.694E-03 5.165E+00 3 3.57 1.00 2.267E-03 7.297E-02 6.944E-03 1.008E-02 2.775E-02 6.995E-03 5.535E+00 5 7.14 2.00 1.154E-03 5.282E-02 3.697E-03 5.363E-03 1.233E-02 7.654E-03 5.223E+00 7 10.72 3.00 7.275E-04 3.265E-02 1.894E-03 2.641E-03 4.993E-03 1.033E-02 4.287E+00 9 14.29 4.00 6.896E-04 1.846E-02 9.964E-04 1.308E-03 2.078E-03 2.069E-02 3.220E+00 12 17.86 5.00 9.226E-04 9.894E-03 8.262E-04 8.889E-04 1.023E-03 5.761E-02 3.142E+00 Waveband 5 of 30 completed in 2.3 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 RADTRANX clear-sky spectral irradiances averaged over the band from 450.0 nm to 460.0 nm: Ed(diffuse) = 3.809E-01 Ed(direct) = 3.941E-01 Ed(total) = 7.750E-01 Absorption Coefficients of Individual Components at 455.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0096 0.3950 0.2700 0.0464 0.4046 3 3.486 1.000 0.0096 0.3950 0.2700 0.0464 0.4046 5 6.972 2.000 0.0096 0.3950 0.2700 0.0464 0.4046 7 10.458 3.000 0.0096 0.3950 0.2700 0.0464 0.4046 9 13.944 4.000 0.0096 0.3950 0.2700 0.0464 0.4046 12 17.430 5.000 0.0096 0.3950 0.2700 0.0464 0.4046 Scattering Coefficients of Individual Components at 455.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0043 3.0770 0.0000 0.0000 3.0813 3 3.486 1.000 0.0043 3.0770 0.0000 0.0000 3.0813 5 6.972 2.000 0.0043 3.0770 0.0000 0.0000 3.0813 7 10.458 3.000 0.0043 3.0770 0.0000 0.0000 3.0813 9 13.944 4.000 0.0043 3.0770 0.0000 0.0000 3.0813 12 17.430 5.000 0.0043 3.0770 0.0000 0.0000 3.0813 Backscattering Coefficients of Individual Components at 455.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00217 0.03077 0.00000 0.00000 0.03294 3 3.486 1.000 0.00217 0.03077 0.00000 0.00000 0.03294 5 6.972 2.000 0.00217 0.03077 0.00000 0.00000 0.03294 7 10.458 3.000 0.00217 0.03077 0.00000 0.00000 0.03294 9 13.944 4.000 0.00217 0.03077 0.00000 0.00000 0.03294 12 17.430 5.000 0.00217 0.03077 0.00000 0.00000 0.03294 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 0.4046 3.0813 3.4860 0.8839 0.03294 0.01069 3 3.486 1.000 0.4046 3.0813 3.4860 0.8839 0.03294 0.01069 5 6.972 2.000 0.4046 3.0813 3.4860 0.8839 0.03294 0.01069 7 10.458 3.000 0.4046 3.0813 3.4860 0.8839 0.03294 0.01069 9 13.944 4.000 0.4046 3.0813 3.4860 0.8839 0.03294 0.01069 12 17.430 5.000 0.4046 3.0813 3.4860 0.8839 0.03294 0.01069 The bottom reflectance at wavelength 455.0 nm is R = 0.190 Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 455.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.9840E-01 1.7796E+00 2.0780E+00 7.4771E-02 7.7497E-01 0.2506 0.4355 0.3370 9.6483E-02 1 0.00 0.00 7.4829E-02 9.8450E-01 1.0593E+00 2.9186E-02 7.2936E-01 0.3900 0.7408 0.6610 4.0015E-02 3 3.49 1.00 4.7427E-02 5.6276E-01 6.1018E-01 1.7187E-02 3.8230E-01 0.3624 0.6793 0.5984 4.4957E-02 5 6.97 2.00 2.5058E-02 2.8751E-01 3.1257E-01 9.1188E-03 1.9365E-01 0.3639 0.6735 0.5904 4.7090E-02 7 10.46 3.00 1.3496E-02 1.4431E-01 1.5781E-01 5.2308E-03 9.8255E-02 0.3876 0.6809 0.5895 5.3237E-02 9 13.94 4.00 8.8710E-03 7.3121E-02 8.1992E-02 3.9900E-03 5.0376E-02 0.4498 0.6889 0.5657 7.9204E-02 12 17.43 5.00 9.9622E-03 3.7938E-02 4.7900E-02 4.9811E-03 2.6196E-02 0.5000 0.6905 0.4429 1.9015E-01 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 0.32045 0.47750 0.46640 0.40014 0.60343 0.61191 0.54213 1.000 1.010 1.005 0.59630 0.64192 0.63837 0.61913 0.67324 0.67579 0.60651 2.000 2.010 2.005 0.65235 0.68812 0.68525 0.62228 0.68202 0.68497 0.48944 3.000 3.010 3.005 0.55711 0.68666 0.67557 0.45306 0.67369 0.68611 0.19424 4.000 4.010 4.005 0.22532 0.67145 0.62308 0.04477 0.66199 0.71526 -0.14551 4.990 5.000 4.995 -0.75152 0.62218 0.33803 -0.51556 0.64104 0.91067 -0.31962 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 4.24011E-02 3.08457E-03 9.28349E-04 4.01292E-03 3.98026E-03 0.021894 9 1 10.0 0.0 180.0 3.65754E-02 3.09123E-03 7.85289E-04 3.87652E-03 3.98886E-03 0.021470 9 4 10.0 45.0 135.0 3.78969E-02 3.09057E-03 8.20967E-04 3.91154E-03 3.98801E-03 0.021663 9 7 10.0 90.0 90.0 4.24190E-02 3.12071E-03 9.23267E-04 4.04398E-03 4.02690E-03 0.021765 8 1 20.0 0.0 180.0 3.51230E-02 3.12720E-03 7.63389E-04 3.89059E-03 4.03528E-03 0.021735 8 4 20.0 45.0 135.0 3.65431E-02 3.11696E-03 7.92429E-04 3.90939E-03 4.02206E-03 0.021685 8 7 20.0 90.0 90.0 4.30444E-02 3.18380E-03 9.40855E-04 4.12466E-03 4.10831E-03 0.021858 7 1 30.0 0.0 180.0 3.63014E-02 3.20150E-03 8.27398E-04 4.02889E-03 4.13114E-03 0.022792 7 4 30.0 45.0 135.0 3.72193E-02 3.21412E-03 8.47781E-04 4.06190E-03 4.14743E-03 0.022778 7 7 30.0 90.0 90.0 4.44756E-02 3.30205E-03 1.01288E-03 4.31493E-03 4.26090E-03 0.022774 6 1 40.0 0.0 180.0 4.06796E-02 3.28992E-03 1.08195E-03 4.37187E-03 4.24525E-03 0.026597 6 4 40.0 45.0 135.0 4.04262E-02 3.30398E-03 1.07316E-03 4.37714E-03 4.26339E-03 0.026546 6 7 40.0 90.0 90.0 4.73057E-02 3.42594E-03 1.24785E-03 4.67379E-03 4.42076E-03 0.026378 5 1 50.0 0.0 180.0 4.95825E-02 3.40942E-03 1.85048E-03 5.25990E-03 4.39944E-03 0.037321 5 4 50.0 45.0 135.0 4.72544E-02 3.40979E-03 1.76015E-03 5.16994E-03 4.39993E-03 0.037248 5 7 50.0 90.0 90.0 5.25370E-02 3.59531E-03 1.93612E-03 5.53143E-03 4.63931E-03 0.036852 4 1 60.0 0.0 180.0 6.59525E-02 3.45077E-03 4.52684E-03 7.97761E-03 4.45281E-03 0.068638 4 4 60.0 45.0 135.0 6.01575E-02 3.44380E-03 4.09545E-03 7.53924E-03 4.44380E-03 0.068079 4 7 60.0 90.0 90.0 6.20813E-02 3.70062E-03 4.14574E-03 7.84636E-03 4.77520E-03 0.066779 3 1 70.0 0.0 180.0 9.71213E-02 3.26767E-03 1.54362E-02 1.87039E-02 4.21653E-03 0.158938 3 4 70.0 45.0 135.0 8.52141E-02 3.30453E-03 1.33801E-02 1.66846E-02 4.26410E-03 0.157017 3 7 70.0 90.0 90.0 8.09027E-02 3.57894E-03 1.24685E-02 1.60475E-02 4.61820E-03 0.154117 2 1 80.0 0.0 180.0 1.65649E-01 2.72204E-03 5.37983E-02 5.65204E-02 3.51246E-03 0.324772 2 4 80.0 45.0 135.0 1.41233E-01 2.71943E-03 4.63584E-02 4.90778E-02 3.50910E-03 0.328240 2 7 80.0 90.0 90.0 1.23268E-01 3.01753E-03 4.11391E-02 4.41566E-02 3.89376E-03 0.333738 1 1 87.5 0.0 180.0 2.60881E-01 2.04038E-03 1.13502E-01 1.15542E-01 2.63286E-03 0.435070 1 4 87.5 45.0 135.0 2.19348E-01 1.98800E-03 1.00915E-01 1.02903E-01 2.56527E-03 0.460068 1 7 87.5 90.0 90.0 1.80977E-01 2.21730E-03 8.83944E-02 9.06117E-02 2.86115E-03 0.488428 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 455.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 4.013E-03 4.240E-02 1.882E-01 1.358E-01 5.657E-01 5.178E-03 1.863E+01 3.085E-03 3.980E-03 1 0.00 0.00 5.701E-03 7.616E-02 1.361E-02 1.796E-02 4.107E-02 7.817E-03 5.119E+00 3 3.49 1.00 3.158E-03 8.273E-02 9.087E-03 1.324E-02 3.635E-02 8.261E-03 5.442E+00 5 6.97 2.00 1.798E-03 6.486E-02 5.313E-03 7.745E-03 1.790E-02 9.285E-03 5.072E+00 7 10.46 3.00 1.259E-03 4.338E-02 2.979E-03 4.178E-03 7.966E-03 1.281E-02 4.155E+00 9 13.94 4.00 1.235E-03 2.652E-02 1.714E-03 2.260E-03 3.620E-03 2.452E-02 3.230E+00 12 17.43 5.00 1.586E-03 1.537E-02 1.453E-03 1.571E-03 1.827E-03 6.053E-02 3.142E+00 Waveband 6 of 30 completed in 2.0 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 RADTRANX clear-sky spectral irradiances averaged over the band from 460.0 nm to 470.0 nm: Ed(diffuse) = 3.696E-01 Ed(direct) = 4.074E-01 Ed(total) = 7.770E-01 Absorption Coefficients of Individual Components at 465.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0101 0.3428 0.2290 0.0451 0.3529 3 3.404 1.000 0.0101 0.3428 0.2290 0.0451 0.3529 5 6.808 2.000 0.0101 0.3428 0.2290 0.0451 0.3529 7 10.212 3.000 0.0101 0.3428 0.2290 0.0451 0.3529 9 13.616 4.000 0.0101 0.3428 0.2290 0.0451 0.3529 12 17.020 5.000 0.0101 0.3428 0.2290 0.0451 0.3529 Scattering Coefficients of Individual Components at 465.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0040 3.0472 0.0000 0.0000 3.0512 3 3.404 1.000 0.0040 3.0472 0.0000 0.0000 3.0512 5 6.808 2.000 0.0040 3.0472 0.0000 0.0000 3.0512 7 10.212 3.000 0.0040 3.0472 0.0000 0.0000 3.0512 9 13.616 4.000 0.0040 3.0472 0.0000 0.0000 3.0512 12 17.020 5.000 0.0040 3.0472 0.0000 0.0000 3.0512 Backscattering Coefficients of Individual Components at 465.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00198 0.03047 0.00000 0.00000 0.03245 3 3.404 1.000 0.00198 0.03047 0.00000 0.00000 0.03245 5 6.808 2.000 0.00198 0.03047 0.00000 0.00000 0.03245 7 10.212 3.000 0.00198 0.03047 0.00000 0.00000 0.03245 9 13.616 4.000 0.00198 0.03047 0.00000 0.00000 0.03245 12 17.020 5.000 0.00198 0.03047 0.00000 0.00000 0.03245 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 0.3529 3.0512 3.4041 0.8963 0.03245 0.01063 3 3.404 1.000 0.3529 3.0512 3.4041 0.8963 0.03245 0.01063 5 6.808 2.000 0.3529 3.0512 3.4041 0.8963 0.03245 0.01063 7 10.212 3.000 0.3529 3.0512 3.4041 0.8963 0.03245 0.01063 9 13.616 4.000 0.3529 3.0512 3.4041 0.8963 0.03245 0.01063 12 17.020 5.000 0.3529 3.0512 3.4041 0.8963 0.03245 0.01063 The bottom reflectance at wavelength 465.0 nm is R = 0.197 Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 465.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.9826E-01 1.7771E+00 2.0754E+00 7.6425E-02 7.7703E-01 0.2562 0.4372 0.3376 9.8356E-02 1 0.00 0.00 8.5642E-02 9.9698E-01 1.0826E+00 3.3721E-02 7.3430E-01 0.3937 0.7365 0.6471 4.5923E-02 3 3.40 1.00 5.8219E-02 6.1367E-01 6.7189E-01 2.1376E-02 4.1351E-01 0.3672 0.6738 0.5836 5.1695E-02 5 6.81 2.00 3.3396E-02 3.3809E-01 3.7149E-01 1.2339E-02 2.2504E-01 0.3695 0.6656 0.5726 5.4833E-02 7 10.21 3.00 1.9517E-02 1.8229E-01 2.0181E-01 7.6904E-03 1.2239E-01 0.3940 0.6714 0.5683 6.2835E-02 9 13.62 4.00 1.3628E-02 9.8948E-02 1.1258E-01 6.1475E-03 6.7140E-02 0.4511 0.6785 0.5418 9.1563E-02 12 17.02 5.00 1.4690E-02 5.4864E-02 6.9553E-02 7.3448E-03 3.7308E-02 0.5000 0.6800 0.4308 1.9687E-01 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 0.28310 0.42076 0.40986 0.34503 0.53541 0.54459 0.47048 1.000 1.010 1.005 0.51559 0.56492 0.56064 0.53732 0.60054 0.60399 0.51629 2.000 2.010 2.005 0.56944 0.61466 0.61060 0.53632 0.61144 0.61580 0.39767 3.000 3.010 3.005 0.47927 0.61671 0.60341 0.37869 0.60533 0.62055 0.14254 4.000 4.010 4.005 0.19548 0.60352 0.55404 0.03757 0.59498 0.65133 -0.12805 4.990 5.000 4.995 -0.49020 0.56433 0.34254 -0.40992 0.57655 0.81689 -0.27112 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 4.11404E-02 3.60840E-03 9.00747E-04 4.50915E-03 4.64387E-03 0.021894 9 1 10.0 0.0 180.0 3.54879E-02 3.60703E-03 7.61941E-04 4.36897E-03 4.64210E-03 0.021470 9 4 10.0 45.0 135.0 3.67702E-02 3.60897E-03 7.96558E-04 4.40553E-03 4.64460E-03 0.021663 9 7 10.0 90.0 90.0 4.11579E-02 3.65030E-03 8.95817E-04 4.54612E-03 4.69779E-03 0.021765 8 1 20.0 0.0 180.0 3.40787E-02 3.64278E-03 7.40692E-04 4.38347E-03 4.68811E-03 0.021735 8 4 20.0 45.0 135.0 3.54566E-02 3.63545E-03 7.68869E-04 4.40431E-03 4.67867E-03 0.021685 8 7 20.0 90.0 90.0 4.17646E-02 3.72336E-03 9.12882E-04 4.63624E-03 4.79182E-03 0.021858 7 1 30.0 0.0 180.0 3.52221E-02 3.72341E-03 8.02798E-04 4.52621E-03 4.79189E-03 0.022792 7 4 30.0 45.0 135.0 3.61127E-02 3.74458E-03 8.22575E-04 4.56715E-03 4.81912E-03 0.022778 7 7 30.0 90.0 90.0 4.31533E-02 3.86068E-03 9.82762E-04 4.84344E-03 4.96853E-03 0.022774 6 1 40.0 0.0 180.0 3.94701E-02 3.81756E-03 1.04978E-03 4.86734E-03 4.91305E-03 0.026597 6 4 40.0 45.0 135.0 3.92242E-02 3.84294E-03 1.04125E-03 4.88419E-03 4.94571E-03 0.026546 6 7 40.0 90.0 90.0 4.58992E-02 4.00311E-03 1.21074E-03 5.21386E-03 5.15185E-03 0.026378 5 1 50.0 0.0 180.0 4.81084E-02 3.95055E-03 1.79546E-03 5.74601E-03 5.08420E-03 0.037321 5 4 50.0 45.0 135.0 4.58495E-02 3.96160E-03 1.70782E-03 5.66942E-03 5.09842E-03 0.037248 5 7 50.0 90.0 90.0 5.09750E-02 4.19805E-03 1.87854E-03 6.07659E-03 5.40272E-03 0.036852 4 1 60.0 0.0 180.0 6.39916E-02 3.99249E-03 4.39226E-03 8.38475E-03 5.13818E-03 0.068638 4 4 60.0 45.0 135.0 5.83696E-02 3.99639E-03 3.97369E-03 7.97008E-03 5.14320E-03 0.068078 4 7 60.0 90.0 90.0 6.02315E-02 4.31761E-03 4.02243E-03 8.34004E-03 5.55659E-03 0.066783 3 1 70.0 0.0 180.0 9.42337E-02 3.77550E-03 1.49773E-02 1.87528E-02 4.85891E-03 0.158938 3 4 70.0 45.0 135.0 8.26805E-02 3.83013E-03 1.29823E-02 1.68124E-02 4.92922E-03 0.157017 3 7 70.0 90.0 90.0 7.84973E-02 4.17050E-03 1.20977E-02 1.62682E-02 5.36726E-03 0.154117 2 1 80.0 0.0 180.0 1.60724E-01 3.14091E-03 5.21988E-02 5.53397E-02 4.04222E-03 0.324772 2 4 80.0 45.0 135.0 1.37034E-01 3.14822E-03 4.49801E-02 4.81283E-02 4.05163E-03 0.328240 2 7 80.0 90.0 90.0 1.19603E-01 3.51214E-03 3.99159E-02 4.34281E-02 4.51999E-03 0.333738 1 1 87.5 0.0 180.0 2.53125E-01 2.35243E-03 1.10127E-01 1.12480E-01 3.02749E-03 0.435070 1 4 87.5 45.0 135.0 2.12826E-01 2.29967E-03 9.79145E-02 1.00214E-01 2.95958E-03 0.460068 1 7 87.5 90.0 90.0 1.75597E-01 2.57869E-03 8.57663E-02 8.83450E-02 3.31867E-03 0.488428 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 465.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 4.509E-03 4.114E-02 1.828E-01 1.320E-01 5.520E-01 5.803E-03 1.695E+01 3.608E-03 4.644E-03 1 0.00 0.00 6.669E-03 7.392E-02 1.535E-02 2.033E-02 4.580E-02 9.082E-03 5.056E+00 3 3.40 1.00 4.013E-03 8.620E-02 1.081E-02 1.576E-02 4.310E-02 9.705E-03 5.327E+00 5 6.81 2.00 2.507E-03 7.229E-02 6.830E-03 9.986E-03 2.315E-02 1.114E-02 4.922E+00 7 10.21 3.00 1.895E-03 5.168E-02 4.132E-03 5.817E-03 1.117E-02 1.548E-02 4.058E+00 9 13.62 4.00 1.891E-03 3.375E-02 2.560E-03 3.388E-03 5.467E-03 2.816E-02 3.251E+00 12 17.02 5.00 2.338E-03 2.089E-02 2.192E-03 2.383E-03 2.799E-03 6.267E-02 3.142E+00 Waveband 7 of 30 completed in 1.8 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 RADTRANX clear-sky spectral irradiances averaged over the band from 470.0 nm to 480.0 nm: Ed(diffuse) = 3.657E-01 Ed(direct) = 4.280E-01 Ed(total) = 7.937E-01 Absorption Coefficients of Individual Components at 475.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0114 0.3042 0.2000 0.0420 0.3156 3 3.336 1.000 0.0114 0.3042 0.2000 0.0420 0.3156 5 6.672 2.000 0.0114 0.3042 0.2000 0.0420 0.3156 7 10.007 3.000 0.0114 0.3042 0.2000 0.0420 0.3156 9 13.343 4.000 0.0114 0.3042 0.2000 0.0420 0.3156 12 16.679 5.000 0.0114 0.3042 0.2000 0.0420 0.3156 Scattering Coefficients of Individual Components at 475.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0036 3.0166 0.0000 0.0000 3.0202 3 3.336 1.000 0.0036 3.0166 0.0000 0.0000 3.0202 5 6.672 2.000 0.0036 3.0166 0.0000 0.0000 3.0202 7 10.007 3.000 0.0036 3.0166 0.0000 0.0000 3.0202 9 13.343 4.000 0.0036 3.0166 0.0000 0.0000 3.0202 12 16.679 5.000 0.0036 3.0166 0.0000 0.0000 3.0202 Backscattering Coefficients of Individual Components at 475.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00180 0.03017 0.00000 0.00000 0.03197 3 3.336 1.000 0.00180 0.03017 0.00000 0.00000 0.03197 5 6.672 2.000 0.00180 0.03017 0.00000 0.00000 0.03197 7 10.007 3.000 0.00180 0.03017 0.00000 0.00000 0.03197 9 13.343 4.000 0.00180 0.03017 0.00000 0.00000 0.03197 12 16.679 5.000 0.00180 0.03017 0.00000 0.00000 0.03197 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 0.3156 3.0202 3.3358 0.9054 0.03197 0.01058 3 3.336 1.000 0.3156 3.0202 3.3358 0.9054 0.03197 0.01058 5 6.672 2.000 0.3156 3.0202 3.3358 0.9054 0.03197 0.01058 7 10.007 3.000 0.3156 3.0202 3.3358 0.9054 0.03197 0.01058 9 13.343 4.000 0.3156 3.0202 3.3358 0.9054 0.03197 0.01058 12 16.679 5.000 0.3156 3.0202 3.3358 0.9054 0.03197 0.01058 The bottom reflectance at wavelength 475.0 nm is R = 0.204 Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 475.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 3.0373E-01 1.8083E+00 2.1120E+00 7.9440E-02 7.9368E-01 0.2616 0.4389 0.3382 1.0009E-01 1 0.00 0.00 9.7222E-02 1.0274E+00 1.1246E+00 3.8592E-02 7.5281E-01 0.3969 0.7327 0.6351 5.1263E-02 3 3.34 1.00 6.9517E-02 6.6725E-01 7.3677E-01 2.5826E-02 4.4671E-01 0.3715 0.6695 0.5713 5.7814E-02 5 6.67 2.00 4.2400E-02 3.8865E-01 4.3105E-01 1.5880E-02 2.5628E-01 0.3745 0.6594 0.5577 6.1964E-02 7 10.01 3.00 2.6325E-02 2.2096E-01 2.4729E-01 1.0516E-02 1.4671E-01 0.3995 0.6640 0.5507 7.1677E-02 9 13.34 4.00 1.9198E-02 1.2621E-01 1.4541E-01 8.6860E-03 8.4605E-02 0.4525 0.6703 0.5221 1.0267E-01 12 16.68 5.00 2.0155E-02 7.3508E-02 9.3663E-02 1.0078E-02 4.9378E-02 0.5000 0.6717 0.4196 2.0409E-01 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 0.25722 0.38140 0.37066 0.30525 0.48608 0.49586 0.41618 1.000 1.010 1.005 0.45586 0.50835 0.50340 0.47619 0.54722 0.55158 0.44807 2.000 2.010 2.005 0.50747 0.56032 0.55512 0.47229 0.55942 0.56518 0.33189 3.000 3.010 3.005 0.42250 0.56489 0.54973 0.32577 0.55485 0.57255 0.10861 4.000 4.010 4.005 0.17377 0.55321 0.50303 0.03226 0.54545 0.60433 -0.11576 4.990 5.000 4.995 -0.31861 0.52136 0.34120 -0.33859 0.52891 0.75015 -0.23743 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 4.07105E-02 4.18195E-03 8.91334E-04 5.07328E-03 5.26905E-03 0.021894 9 1 10.0 0.0 180.0 3.51171E-02 4.17183E-03 7.53978E-04 4.92581E-03 5.25631E-03 0.021470 9 4 10.0 45.0 135.0 3.63859E-02 4.17647E-03 7.88234E-04 4.96470E-03 5.26214E-03 0.021663 9 7 10.0 90.0 90.0 4.07278E-02 4.22958E-03 8.86455E-04 5.11604E-03 5.32907E-03 0.021765 8 1 20.0 0.0 180.0 3.37226E-02 4.20670E-03 7.32951E-04 4.93965E-03 5.30024E-03 0.021735 8 4 20.0 45.0 135.0 3.50861E-02 4.20230E-03 7.60834E-04 4.96314E-03 5.29470E-03 0.021685 8 7 20.0 90.0 90.0 4.13282E-02 4.31254E-03 9.03342E-04 5.21588E-03 5.43359E-03 0.021858 7 1 30.0 0.0 180.0 3.48540E-02 4.29338E-03 7.94408E-04 5.08779E-03 5.40946E-03 0.022792 7 4 30.0 45.0 135.0 3.57353E-02 4.32356E-03 8.13979E-04 5.13754E-03 5.44748E-03 0.022778 7 7 30.0 90.0 90.0 4.27024E-02 4.46944E-03 9.72492E-04 5.44193E-03 5.63128E-03 0.022774 6 1 40.0 0.0 180.0 3.90577E-02 4.39177E-03 1.03881E-03 5.43058E-03 5.53342E-03 0.026597 6 4 40.0 45.0 135.0 3.88143E-02 4.42907E-03 1.03037E-03 5.45943E-03 5.58041E-03 0.026546 6 7 40.0 90.0 90.0 4.54196E-02 4.62958E-03 1.19809E-03 5.82767E-03 5.83304E-03 0.026378 5 1 50.0 0.0 180.0 4.76056E-02 4.53776E-03 1.77670E-03 6.31446E-03 5.71735E-03 0.037321 5 4 50.0 45.0 135.0 4.53704E-02 4.55995E-03 1.68998E-03 6.24993E-03 5.74532E-03 0.037248 5 7 50.0 90.0 90.0 5.04423E-02 4.85025E-03 1.85889E-03 6.70914E-03 6.11107E-03 0.036852 4 1 60.0 0.0 180.0 6.33229E-02 4.57848E-03 4.34637E-03 8.92485E-03 5.76866E-03 0.068638 4 4 60.0 45.0 135.0 5.77602E-02 4.59370E-03 3.93217E-03 8.52588E-03 5.78784E-03 0.068078 4 7 60.0 90.0 90.0 5.95981E-02 4.98310E-03 3.98034E-03 8.96344E-03 6.27846E-03 0.066786 3 1 70.0 0.0 180.0 9.32489E-02 4.32324E-03 1.48208E-02 1.91440E-02 5.44707E-03 0.158938 3 4 70.0 45.0 135.0 8.18165E-02 4.39661E-03 1.28466E-02 1.72432E-02 5.53951E-03 0.157018 3 7 70.0 90.0 90.0 7.76771E-02 4.80671E-03 1.19712E-02 1.67780E-02 6.05622E-03 0.154116 2 1 80.0 0.0 180.0 1.59045E-01 3.59143E-03 5.16534E-02 5.52448E-02 4.52503E-03 0.324773 2 4 80.0 45.0 135.0 1.35602E-01 3.60907E-03 4.45100E-02 4.81191E-02 4.54725E-03 0.328240 2 7 80.0 90.0 90.0 1.18353E-01 4.04266E-03 3.94987E-02 4.35414E-02 5.09355E-03 0.333737 1 1 87.5 0.0 180.0 2.50480E-01 2.68759E-03 1.08976E-01 1.11664E-01 3.38623E-03 0.435070 1 4 87.5 45.0 135.0 2.10602E-01 2.63416E-03 9.68913E-02 9.95255E-02 3.31892E-03 0.460068 1 7 87.5 90.0 90.0 1.73762E-01 2.96584E-03 8.48700E-02 8.78359E-02 3.73682E-03 0.488428 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 5.073E-03 4.071E-02 1.811E-01 1.308E-01 5.494E-01 6.392E-03 1.566E+01 4.182E-03 5.269E-03 1 0.00 0.00 7.729E-03 7.317E-02 1.721E-02 2.287E-02 5.091E-02 1.027E-02 4.993E+00 3 3.34 1.00 4.952E-03 9.012E-02 1.255E-02 1.834E-02 4.996E-02 1.108E-02 5.216E+00 5 6.67 2.00 3.314E-03 7.951E-02 8.403E-03 1.231E-02 2.863E-02 1.293E-02 4.792E+00 7 10.01 3.00 2.641E-03 5.973E-02 5.379E-03 7.595E-03 1.467E-02 1.800E-02 3.982E+00 9 13.34 4.00 2.662E-03 4.098E-02 3.522E-03 4.673E-03 7.589E-03 3.146E-02 3.263E+00 12 16.68 5.00 3.208E-03 2.664E-02 3.052E-03 3.328E-03 3.942E-03 6.496E-02 3.142E+00 Waveband 8 of 30 completed in 1.9 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 RADTRANX clear-sky spectral irradiances averaged over the band from 480.0 nm to 490.0 nm: Ed(diffuse) = 3.454E-01 Ed(direct) = 4.271E-01 Ed(total) = 7.725E-01 Absorption Coefficients of Individual Components at 485.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0136 0.2678 0.1736 0.0386 0.2814 3 3.278 1.000 0.0136 0.2678 0.1736 0.0386 0.2814 5 6.555 2.000 0.0136 0.2678 0.1736 0.0386 0.2814 7 9.833 3.000 0.0136 0.2678 0.1736 0.0386 0.2814 9 13.111 4.000 0.0136 0.2678 0.1736 0.0386 0.2814 12 16.388 5.000 0.0136 0.2678 0.1736 0.0386 0.2814 Scattering Coefficients of Individual Components at 485.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0033 2.9930 0.0000 0.0000 2.9963 3 3.278 1.000 0.0033 2.9930 0.0000 0.0000 2.9963 5 6.555 2.000 0.0033 2.9930 0.0000 0.0000 2.9963 7 9.833 3.000 0.0033 2.9930 0.0000 0.0000 2.9963 9 13.111 4.000 0.0033 2.9930 0.0000 0.0000 2.9963 12 16.388 5.000 0.0033 2.9930 0.0000 0.0000 2.9963 Backscattering Coefficients of Individual Components at 485.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00165 0.02993 0.00000 0.00000 0.03158 3 3.278 1.000 0.00165 0.02993 0.00000 0.00000 0.03158 5 6.555 2.000 0.00165 0.02993 0.00000 0.00000 0.03158 7 9.833 3.000 0.00165 0.02993 0.00000 0.00000 0.03158 9 13.111 4.000 0.00165 0.02993 0.00000 0.00000 0.03158 12 16.388 5.000 0.00165 0.02993 0.00000 0.00000 0.03158 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 0.2814 2.9963 3.2777 0.9141 0.03158 0.01054 3 3.278 1.000 0.2814 2.9963 3.2777 0.9141 0.03158 0.01054 5 6.555 2.000 0.2814 2.9963 3.2777 0.9141 0.03158 0.01054 7 9.833 3.000 0.2814 2.9963 3.2777 0.9141 0.03158 0.01054 9 13.111 4.000 0.2814 2.9963 3.2777 0.9141 0.03158 0.01054 12 16.388 5.000 0.2814 2.9963 3.2777 0.9141 0.03158 0.01054 The bottom reflectance at wavelength 485.0 nm is R = 0.210 Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 485.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.9569E-01 1.7539E+00 2.0496E+00 7.9029E-02 7.7252E-01 0.2673 0.4405 0.3384 1.0230E-01 1 0.00 0.00 1.0571E-01 1.0100E+00 1.1157E+00 4.2336E-02 7.3581E-01 0.4005 0.7285 0.6216 5.7537E-02 3 3.28 1.00 7.9109E-02 6.8895E-01 7.6806E-01 2.9770E-02 4.5811E-01 0.3763 0.6649 0.5577 6.4983E-02 5 6.56 2.00 5.1039E-02 4.2249E-01 4.7352E-01 1.9387E-02 2.7596E-01 0.3798 0.6532 0.5418 7.0252E-02 7 9.83 3.00 3.3440E-02 2.5233E-01 2.8577E-01 1.3521E-02 1.6565E-01 0.4043 0.6565 0.5324 8.1621E-02 9 13.11 4.00 2.5240E-02 1.5112E-01 1.7636E-01 1.1427E-02 1.0006E-01 0.4527 0.6621 0.5026 1.1420E-01 12 16.39 5.00 2.5676E-02 9.2092E-02 1.1777E-01 1.2838E-02 6.1108E-02 0.5000 0.6635 0.4099 2.1009E-01 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 0.23491 0.34723 0.33658 0.26920 0.44093 0.45142 0.36567 1.000 1.010 1.005 0.40119 0.45622 0.45055 0.42011 0.49811 0.50353 0.38672 2.000 2.010 2.005 0.45104 0.50991 0.50356 0.41520 0.51127 0.51853 0.27788 3.000 3.010 3.005 0.37392 0.51671 0.49999 0.28330 0.50802 0.52801 0.08608 4.000 4.010 4.005 0.16062 0.50652 0.45695 0.03427 0.49954 0.55968 -0.10045 4.990 5.000 4.995 -0.14278 0.48318 0.34704 -0.26902 0.48521 0.68485 -0.20573 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 485.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 3.84485E-02 4.65778E-03 8.41808E-04 5.49959E-03 6.02931E-03 0.021894 9 1 10.0 0.0 180.0 3.31658E-02 4.63746E-03 7.12084E-04 5.34955E-03 6.00300E-03 0.021470 9 4 10.0 45.0 135.0 3.43642E-02 4.64508E-03 7.44436E-04 5.38952E-03 6.01287E-03 0.021663 9 7 10.0 90.0 90.0 3.84647E-02 4.70945E-03 8.37200E-04 5.54665E-03 6.09619E-03 0.021765 8 1 20.0 0.0 180.0 3.18488E-02 4.66874E-03 6.92225E-04 5.36097E-03 6.04349E-03 0.021735 8 4 20.0 45.0 135.0 3.31365E-02 4.66816E-03 7.18559E-04 5.38672E-03 6.04273E-03 0.021685 8 7 20.0 90.0 90.0 3.90318E-02 4.79925E-03 8.53148E-04 5.65239E-03 6.21242E-03 0.021858 7 1 30.0 0.0 180.0 3.29174E-02 4.75732E-03 7.50267E-04 5.50759E-03 6.15816E-03 0.022792 7 4 30.0 45.0 135.0 3.37497E-02 4.79690E-03 7.68750E-04 5.56565E-03 6.20939E-03 0.022778 7 7 30.0 90.0 90.0 4.03296E-02 4.97062E-03 9.18456E-04 5.88907E-03 6.43426E-03 0.022774 6 1 40.0 0.0 180.0 3.68874E-02 4.85378E-03 9.81084E-04 5.83487E-03 6.28302E-03 0.026597 6 4 40.0 45.0 135.0 3.66576E-02 4.90369E-03 9.73116E-04 5.87681E-03 6.34762E-03 0.026546 6 7 40.0 90.0 90.0 4.28958E-02 5.14155E-03 1.13152E-03 6.27307E-03 6.65552E-03 0.026378 5 1 50.0 0.0 180.0 4.49604E-02 5.00616E-03 1.67798E-03 6.68414E-03 6.48026E-03 0.037321 5 4 50.0 45.0 135.0 4.28494E-02 5.04088E-03 1.59607E-03 6.63696E-03 6.52521E-03 0.037248 5 7 50.0 90.0 90.0 4.76395E-02 5.37967E-03 1.75559E-03 7.13526E-03 6.96376E-03 0.036852 4 1 60.0 0.0 180.0 5.98044E-02 5.04152E-03 4.10487E-03 9.14639E-03 6.52603E-03 0.068638 4 4 60.0 45.0 135.0 5.45514E-02 5.06987E-03 3.71369E-03 8.78357E-03 6.56274E-03 0.068077 4 7 60.0 90.0 90.0 5.62828E-02 5.51936E-03 3.75912E-03 9.27848E-03 7.14458E-03 0.066790 3 1 70.0 0.0 180.0 8.80676E-02 4.75217E-03 1.39972E-02 1.87494E-02 6.15149E-03 0.158937 3 4 70.0 45.0 135.0 7.72704E-02 4.84446E-03 1.21328E-02 1.69773E-02 6.27096E-03 0.157018 3 7 70.0 90.0 90.0 7.33610E-02 5.31493E-03 1.13060E-02 1.66209E-02 6.87996E-03 0.154115 2 1 80.0 0.0 180.0 1.50207E-01 3.94107E-03 4.87833E-02 5.27243E-02 5.10155E-03 0.324773 2 4 80.0 45.0 135.0 1.28068E-01 3.97040E-03 4.20369E-02 4.60073E-02 5.13952E-03 0.328240 2 7 80.0 90.0 90.0 1.11777E-01 4.46291E-03 3.73040E-02 4.17669E-02 5.77705E-03 0.333737 1 1 87.5 0.0 180.0 2.36562E-01 2.94634E-03 1.02921E-01 1.05867E-01 3.81392E-03 0.435070 1 4 87.5 45.0 135.0 1.98900E-01 2.89514E-03 9.15076E-02 9.44027E-02 3.74764E-03 0.460068 1 7 87.5 90.0 90.0 1.64107E-01 3.27104E-03 8.01542E-02 8.34253E-02 4.23423E-03 0.488428 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 5.500E-03 3.845E-02 1.712E-01 1.238E-01 5.218E-01 7.119E-03 1.437E+01 4.658E-03 6.029E-03 1 0.00 0.00 8.609E-03 6.913E-02 1.850E-02 2.464E-02 5.408E-02 1.170E-02 4.918E+00 3 3.28 1.00 5.841E-03 8.965E-02 1.391E-02 2.031E-02 5.495E-02 1.275E-02 5.096E+00 5 6.56 2.00 4.149E-03 8.288E-02 9.809E-03 1.439E-02 3.342E-02 1.503E-02 4.673E+00 7 9.83 3.00 3.442E-03 6.517E-02 6.617E-03 9.355E-03 1.810E-02 2.078E-02 3.928E+00 9 13.11 4.00 3.479E-03 4.678E-02 4.554E-03 6.050E-03 9.859E-03 3.477E-02 3.284E+00 12 16.39 5.00 4.086E-03 3.181E-02 3.955E-03 4.328E-03 5.165E-03 6.687E-02 3.142E+00 Waveband 9 of 30 completed in 1.9 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 RADTRANX clear-sky spectral irradiances averaged over the band from 490.0 nm to 500.0 nm: Ed(diffuse) = 3.423E-01 Ed(direct) = 4.463E-01 Ed(total) = 7.886E-01 Absorption Coefficients of Individual Components at 495.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0173 0.2352 0.1502 0.0358 0.2525 3 3.220 1.000 0.0173 0.2352 0.1502 0.0358 0.2525 5 6.441 2.000 0.0173 0.2352 0.1502 0.0358 0.2525 7 9.661 3.000 0.0173 0.2352 0.1502 0.0358 0.2525 9 12.881 4.000 0.0173 0.2352 0.1502 0.0358 0.2525 12 16.102 5.000 0.0173 0.2352 0.1502 0.0358 0.2525 Scattering Coefficients of Individual Components at 495.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0030 2.9647 0.0000 0.0000 2.9678 3 3.220 1.000 0.0030 2.9647 0.0000 0.0000 2.9678 5 6.441 2.000 0.0030 2.9647 0.0000 0.0000 2.9678 7 9.661 3.000 0.0030 2.9647 0.0000 0.0000 2.9678 9 12.881 4.000 0.0030 2.9647 0.0000 0.0000 2.9678 12 16.102 5.000 0.0030 2.9647 0.0000 0.0000 2.9678 Backscattering Coefficients of Individual Components at 495.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00151 0.02965 0.00000 0.00000 0.03116 3 3.220 1.000 0.00151 0.02965 0.00000 0.00000 0.03116 5 6.441 2.000 0.00151 0.02965 0.00000 0.00000 0.03116 7 9.661 3.000 0.00151 0.02965 0.00000 0.00000 0.03116 9 12.881 4.000 0.00151 0.02965 0.00000 0.00000 0.03116 12 16.102 5.000 0.00151 0.02965 0.00000 0.00000 0.03116 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 0.2525 2.9678 3.2203 0.9216 0.03116 0.01050 3 3.220 1.000 0.2525 2.9678 3.2203 0.9216 0.03116 0.01050 5 6.441 2.000 0.2525 2.9678 3.2203 0.9216 0.03116 0.01050 7 9.661 3.000 0.2525 2.9678 3.2203 0.9216 0.03116 0.01050 9 12.881 4.000 0.2525 2.9678 3.2203 0.9216 0.03116 0.01050 12 16.102 5.000 0.2525 2.9678 3.2203 0.9216 0.03116 0.01050 The bottom reflectance at wavelength 495.0 nm is R = 0.216 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 3.0228E-01 1.7842E+00 2.0865E+00 8.2540E-02 7.8855E-01 0.2731 0.4420 0.3384 1.0467E-01 1 0.00 0.00 1.1948E-01 1.0413E+00 1.1607E+00 4.8264E-02 7.5426E-01 0.4040 0.7244 0.6082 6.3990E-02 3 3.22 1.00 9.2885E-02 7.4034E-01 8.3323E-01 3.5397E-02 4.8926E-01 0.3811 0.6608 0.5447 7.2349E-02 5 6.44 2.00 6.2888E-02 4.7459E-01 5.3748E-01 2.4209E-02 3.0733E-01 0.3850 0.6476 0.5268 7.8773E-02 7 9.66 3.00 4.3117E-02 2.9579E-01 3.3891E-01 1.7622E-02 1.9219E-01 0.4087 0.6498 0.5151 9.1691E-02 9 12.88 4.00 3.3465E-02 1.8456E-01 2.1803E-01 1.5159E-02 1.2083E-01 0.4530 0.6547 0.4847 1.2546E-01 12 16.10 5.00 3.3162E-02 1.1693E-01 1.5010E-01 1.6581E-02 7.6732E-02 0.5000 0.6562 0.4007 2.1609E-01 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 0.21712 0.31993 0.30934 0.23897 0.40263 0.41383 0.32195 1.000 1.010 1.005 0.35442 0.41154 0.40517 0.37197 0.45600 0.46255 0.33482 2.000 2.010 2.005 0.40271 0.46632 0.45888 0.36702 0.46979 0.47858 0.23482 3.000 3.010 3.005 0.33370 0.47501 0.45702 0.24930 0.46761 0.48967 0.06988 4.000 4.010 4.005 0.15049 0.46621 0.41769 0.03682 0.45992 0.52076 -0.08723 4.990 5.000 4.995 0.00010 0.45056 0.35121 -0.21207 0.44764 0.62873 -0.17948 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 495.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 3.81009E-02 5.39605E-03 8.34199E-04 6.23025E-03 6.84300E-03 0.021894 9 1 10.0 0.0 180.0 3.28660E-02 5.36356E-03 7.05647E-04 6.06921E-03 6.80180E-03 0.021470 9 4 10.0 45.0 135.0 3.40535E-02 5.37468E-03 7.37707E-04 6.11239E-03 6.81590E-03 0.021663 9 7 10.0 90.0 90.0 3.81171E-02 5.45391E-03 8.29632E-04 6.28354E-03 6.91637E-03 0.021765 8 1 20.0 0.0 180.0 3.15609E-02 5.39152E-03 6.85968E-04 6.07749E-03 6.83725E-03 0.021735 8 4 20.0 45.0 135.0 3.28370E-02 5.39491E-03 7.12064E-04 6.10697E-03 6.84155E-03 0.021685 8 7 20.0 90.0 90.0 3.86790E-02 5.55418E-03 8.45437E-04 6.39962E-03 7.04354E-03 0.021858 7 1 30.0 0.0 180.0 3.26198E-02 5.48514E-03 7.43486E-04 6.22863E-03 6.95598E-03 0.022792 7 4 30.0 45.0 135.0 3.34447E-02 5.53665E-03 7.61802E-04 6.29846E-03 7.02131E-03 0.022778 7 7 30.0 90.0 90.0 3.99651E-02 5.74788E-03 9.10154E-04 6.65803E-03 7.28917E-03 0.022774 6 1 40.0 0.0 180.0 3.65540E-02 5.58142E-03 9.72216E-04 6.55363E-03 7.07807E-03 0.026597 6 4 40.0 45.0 135.0 3.63263E-02 5.64723E-03 9.64319E-04 6.61155E-03 7.16153E-03 0.026546 6 7 40.0 90.0 90.0 4.25081E-02 5.93546E-03 1.12129E-03 7.05675E-03 7.52705E-03 0.026378 5 1 50.0 0.0 180.0 4.45540E-02 5.74563E-03 1.66281E-03 7.40844E-03 7.28632E-03 0.037321 5 4 50.0 45.0 135.0 4.24621E-02 5.79543E-03 1.58165E-03 7.37708E-03 7.34947E-03 0.037249 5 7 50.0 90.0 90.0 4.72089E-02 6.20092E-03 1.73971E-03 7.94063E-03 7.86370E-03 0.036851 4 1 60.0 0.0 180.0 5.92638E-02 5.77438E-03 4.06778E-03 9.84216E-03 7.32278E-03 0.068639 4 4 60.0 45.0 135.0 5.40589E-02 5.81818E-03 3.68013E-03 9.49832E-03 7.37833E-03 0.068076 4 7 60.0 90.0 90.0 5.57704E-02 6.35163E-03 3.72509E-03 1.00767E-02 8.05482E-03 0.066793 3 1 70.0 0.0 180.0 8.72716E-02 5.43270E-03 1.38707E-02 1.93034E-02 6.88948E-03 0.158937 3 4 70.0 45.0 135.0 7.65720E-02 5.54957E-03 1.20231E-02 1.75727E-02 7.03769E-03 0.157018 3 7 70.0 90.0 90.0 7.26978E-02 6.10491E-03 1.12037E-02 1.73086E-02 7.74194E-03 0.154114 2 1 80.0 0.0 180.0 1.48850E-01 4.49715E-03 4.83423E-02 5.28395E-02 5.70306E-03 0.324773 2 4 80.0 45.0 135.0 1.26910E-01 4.54036E-03 4.16569E-02 4.61973E-02 5.75786E-03 0.328240 2 7 80.0 90.0 90.0 1.10766E-01 5.11717E-03 3.69667E-02 4.20839E-02 6.48933E-03 0.333737 1 1 87.5 0.0 180.0 2.34423E-01 3.35854E-03 1.01991E-01 1.05349E-01 4.25914E-03 0.435070 1 4 87.5 45.0 135.0 1.97102E-01 3.30739E-03 9.06805E-02 9.39878E-02 4.19426E-03 0.460068 1 7 87.5 90.0 90.0 1.62623E-01 3.74680E-03 7.94297E-02 8.31765E-02 4.75150E-03 0.488428 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 6.230E-03 3.810E-02 1.699E-01 1.229E-01 5.200E-01 7.901E-03 1.325E+01 5.396E-03 6.843E-03 1 0.00 0.00 9.974E-03 6.854E-02 2.069E-02 2.761E-02 5.977E-02 1.322E-02 4.839E+00 3 3.22 1.00 7.109E-03 9.296E-02 1.592E-02 2.324E-02 6.240E-02 1.453E-02 4.979E+00 5 6.44 2.00 5.303E-03 8.951E-02 1.174E-02 1.722E-02 3.996E-02 1.726E-02 4.565E+00 7 9.66 3.00 4.538E-03 7.324E-02 8.286E-03 1.172E-02 2.273E-02 2.361E-02 3.883E+00 9 12.88 4.00 4.591E-03 5.467E-02 5.949E-03 7.912E-03 1.294E-02 3.800E-02 3.302E+00 12 16.10 5.00 5.278E-03 3.866E-02 5.179E-03 5.686E-03 6.833E-03 6.878E-02 3.142E+00 Waveband 10 of 30 completed in 2.1 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 RADTRANX clear-sky spectral irradiances averaged over the band from 500.0 nm to 510.0 nm: Ed(diffuse) = 3.276E-01 Ed(direct) = 4.492E-01 Ed(total) = 7.768E-01 Absorption Coefficients of Individual Components at 505.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0256 0.2044 0.1304 0.0323 0.2300 3 3.168 1.000 0.0256 0.2044 0.1304 0.0323 0.2300 5 6.337 2.000 0.0256 0.2044 0.1304 0.0323 0.2300 7 9.505 3.000 0.0256 0.2044 0.1304 0.0323 0.2300 9 12.673 4.000 0.0256 0.2044 0.1304 0.0323 0.2300 12 15.842 5.000 0.0256 0.2044 0.1304 0.0323 0.2300 Scattering Coefficients of Individual Components at 505.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0028 2.9356 0.0000 0.0000 2.9384 3 3.168 1.000 0.0028 2.9356 0.0000 0.0000 2.9384 5 6.337 2.000 0.0028 2.9356 0.0000 0.0000 2.9384 7 9.505 3.000 0.0028 2.9356 0.0000 0.0000 2.9384 9 12.673 4.000 0.0028 2.9356 0.0000 0.0000 2.9384 12 15.842 5.000 0.0028 2.9356 0.0000 0.0000 2.9384 Backscattering Coefficients of Individual Components at 505.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00138 0.02936 0.00000 0.00000 0.03074 3 3.168 1.000 0.00138 0.02936 0.00000 0.00000 0.03074 5 6.337 2.000 0.00138 0.02936 0.00000 0.00000 0.03074 7 9.505 3.000 0.00138 0.02936 0.00000 0.00000 0.03074 9 12.673 4.000 0.00138 0.02936 0.00000 0.00000 0.03074 12 15.842 5.000 0.00138 0.02936 0.00000 0.00000 0.03074 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 0.2300 2.9384 3.1684 0.9274 0.03074 0.01046 3 3.168 1.000 0.2300 2.9384 3.1684 0.9274 0.03074 0.01046 5 6.337 2.000 0.2300 2.9384 3.1684 0.9274 0.03074 0.01046 7 9.505 3.000 0.2300 2.9384 3.1684 0.9274 0.03074 0.01046 9 12.673 4.000 0.2300 2.9384 3.1684 0.9274 0.03074 0.01046 12 15.842 5.000 0.2300 2.9384 3.1684 0.9274 0.03074 0.01046 The bottom reflectance at wavelength 505.0 nm is R = 0.225 Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 505.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.9828E-01 1.7520E+00 2.0503E+00 8.3111E-02 7.7681E-01 0.2786 0.4434 0.3383 1.0699E-01 1 0.00 0.00 1.2842E-01 1.0353E+00 1.1637E+00 5.2285E-02 7.4597E-01 0.4071 0.7206 0.5961 7.0091E-02 3 3.17 1.00 1.0285E-01 7.6034E-01 8.6318E-01 3.9654E-02 4.9984E-01 0.3856 0.6574 0.5331 7.9333E-02 5 6.34 2.00 7.2406E-02 5.0497E-01 5.7737E-01 2.8228E-02 3.2464E-01 0.3899 0.6429 0.5134 8.6950E-02 7 9.51 3.00 5.1540E-02 3.2566E-01 3.7720E-01 2.1294E-02 2.0977E-01 0.4132 0.6442 0.4997 1.0151E-01 9 12.67 4.00 4.1024E-02 2.1000E-01 2.5103E-01 1.8642E-02 1.3617E-01 0.4544 0.6484 0.4682 1.3690E-01 12 15.84 5.00 4.0191E-02 1.3731E-01 1.7751E-01 2.0096E-02 8.9235E-02 0.5000 0.6499 0.3895 2.2520E-01 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 0.20373 0.29974 0.28914 0.21529 0.37248 0.38433 0.28627 1.000 1.010 1.005 0.31698 0.37605 0.36901 0.33301 0.42253 0.43025 0.29237 2.000 2.010 2.005 0.36327 0.43145 0.42290 0.32742 0.43668 0.44709 0.19948 3.000 3.010 3.005 0.29987 0.44155 0.42217 0.22001 0.43527 0.45962 0.05482 4.000 4.010 4.005 0.13767 0.43379 0.38533 0.03379 0.42816 0.49086 -0.08000 4.990 5.000 4.995 0.07474 0.42275 0.34406 -0.17678 0.41716 0.58914 -0.16094 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 505.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 3.64677E-02 5.94104E-03 7.98440E-04 6.73948E-03 7.64799E-03 0.021894 9 1 10.0 0.0 180.0 3.14572E-02 5.89746E-03 6.75399E-04 6.57285E-03 7.59188E-03 0.021470 9 4 10.0 45.0 135.0 3.25938E-02 5.91148E-03 7.06085E-04 6.61756E-03 7.60993E-03 0.021663 9 7 10.0 90.0 90.0 3.64831E-02 6.00212E-03 7.94070E-04 6.79619E-03 7.72661E-03 0.021765 8 1 20.0 0.0 180.0 3.02080E-02 5.91989E-03 6.56564E-04 6.57646E-03 7.62077E-03 0.021735 8 4 20.0 45.0 135.0 3.14294E-02 5.92689E-03 6.81540E-04 6.60843E-03 7.62977E-03 0.021685 8 7 20.0 90.0 90.0 3.70210E-02 6.10764E-03 8.09196E-04 6.91684E-03 7.86246E-03 0.021858 7 1 30.0 0.0 180.0 3.12216E-02 6.01363E-03 7.11616E-04 6.72525E-03 7.74143E-03 0.022792 7 4 30.0 45.0 135.0 3.20110E-02 6.07492E-03 7.29147E-04 6.80406E-03 7.82033E-03 0.022778 7 7 30.0 90.0 90.0 3.82519E-02 6.31466E-03 8.71139E-04 7.18580E-03 8.12896E-03 0.022774 6 1 40.0 0.0 180.0 3.49871E-02 6.10285E-03 9.30541E-04 7.03339E-03 7.85628E-03 0.026597 6 4 40.0 45.0 135.0 3.47691E-02 6.18180E-03 9.22983E-04 7.10479E-03 7.95792E-03 0.026546 6 7 40.0 90.0 90.0 4.06860E-02 6.50798E-03 1.07322E-03 7.58120E-03 8.37781E-03 0.026378 5 1 50.0 0.0 180.0 4.26442E-02 6.27008E-03 1.59153E-03 7.86161E-03 8.07157E-03 0.037321 5 4 50.0 45.0 135.0 4.06419E-02 6.33274E-03 1.51385E-03 7.84660E-03 8.15223E-03 0.037249 5 7 50.0 90.0 90.0 4.51853E-02 6.78762E-03 1.66512E-03 8.45274E-03 8.73780E-03 0.036851 4 1 60.0 0.0 180.0 5.67234E-02 6.28818E-03 3.89342E-03 1.01816E-02 8.09486E-03 0.068639 4 4 60.0 45.0 135.0 5.17422E-02 6.34540E-03 3.52239E-03 9.86779E-03 8.16852E-03 0.068076 4 7 60.0 90.0 90.0 5.33762E-02 6.94016E-03 3.56537E-03 1.05055E-02 8.93417E-03 0.066797 3 1 70.0 0.0 180.0 8.35306E-02 5.90463E-03 1.32761E-02 1.91807E-02 7.60112E-03 0.158937 3 4 70.0 45.0 135.0 7.32896E-02 6.04123E-03 1.15078E-02 1.75490E-02 7.77696E-03 0.157018 3 7 70.0 90.0 90.0 6.95816E-02 6.65759E-03 1.07234E-02 1.73810E-02 8.57041E-03 0.154113 2 1 80.0 0.0 180.0 1.42469E-01 4.87855E-03 4.62701E-02 5.11487E-02 6.28023E-03 0.324773 2 4 80.0 45.0 135.0 1.21470E-01 4.93366E-03 3.98713E-02 4.48049E-02 6.35117E-03 0.328240 2 7 80.0 90.0 90.0 1.06018E-01 5.57017E-03 3.53821E-02 4.09523E-02 7.17056E-03 0.333736 1 1 87.5 0.0 180.0 2.24375E-01 3.63954E-03 9.76188E-02 1.01258E-01 4.68523E-03 0.435070 1 4 87.5 45.0 135.0 1.88654E-01 3.59020E-03 8.67934E-02 9.03836E-02 4.62172E-03 0.460068 1 7 87.5 90.0 90.0 1.55652E-01 4.07438E-03 7.60249E-02 8.00993E-02 5.24501E-03 0.488428 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 6.739E-03 3.647E-02 1.628E-01 1.179E-01 5.006E-01 8.676E-03 1.233E+01 5.941E-03 7.648E-03 1 0.00 0.00 1.098E-02 6.563E-02 2.204E-02 2.944E-02 6.299E-02 1.472E-02 4.761E+00 3 3.17 1.00 8.149E-03 9.243E-02 1.723E-02 2.514E-02 6.705E-02 1.630E-02 4.866E+00 5 6.34 2.00 6.328E-03 9.200E-02 1.317E-02 1.931E-02 4.475E-02 1.949E-02 4.461E+00 7 9.51 3.00 5.558E-03 7.773E-02 9.637E-03 1.363E-02 2.648E-02 2.650E-02 3.831E+00 9 12.67 4.00 5.643E-03 5.990E-02 7.164E-03 9.529E-03 1.562E-02 4.144E-02 3.304E+00 12 15.84 5.00 6.397E-03 4.372E-02 6.314E-03 6.942E-03 8.377E-03 7.168E-02 3.142E+00 Waveband 11 of 30 completed in 1.7 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 RADTRANX clear-sky spectral irradiances averaged over the band from 510.0 nm to 520.0 nm: Ed(diffuse) = 3.083E-01 Ed(direct) = 4.428E-01 Ed(total) = 7.511E-01 Absorption Coefficients of Individual Components at 515.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0396 0.1792 0.1138 0.0291 0.2188 3 3.129 1.000 0.0396 0.1792 0.1138 0.0291 0.2188 5 6.258 2.000 0.0396 0.1792 0.1138 0.0291 0.2188 7 9.387 3.000 0.0396 0.1792 0.1138 0.0291 0.2188 9 12.517 4.000 0.0396 0.1792 0.1138 0.0291 0.2188 12 15.646 5.000 0.0396 0.1792 0.1138 0.0291 0.2188 Scattering Coefficients of Individual Components at 515.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0025 2.9078 0.0000 0.0000 2.9103 3 3.129 1.000 0.0025 2.9078 0.0000 0.0000 2.9103 5 6.258 2.000 0.0025 2.9078 0.0000 0.0000 2.9103 7 9.387 3.000 0.0025 2.9078 0.0000 0.0000 2.9103 9 12.517 4.000 0.0025 2.9078 0.0000 0.0000 2.9103 12 15.646 5.000 0.0025 2.9078 0.0000 0.0000 2.9103 Backscattering Coefficients of Individual Components at 515.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00127 0.02908 0.00000 0.00000 0.03035 3 3.129 1.000 0.00127 0.02908 0.00000 0.00000 0.03035 5 6.258 2.000 0.00127 0.02908 0.00000 0.00000 0.03035 7 9.387 3.000 0.00127 0.02908 0.00000 0.00000 0.03035 9 12.517 4.000 0.00127 0.02908 0.00000 0.00000 0.03035 12 15.646 5.000 0.00127 0.02908 0.00000 0.00000 0.03035 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 0.2188 2.9103 3.1291 0.9301 0.03035 0.01043 3 3.129 1.000 0.2188 2.9103 3.1291 0.9301 0.03035 0.01043 5 6.258 2.000 0.2188 2.9103 3.1291 0.9301 0.03035 0.01043 7 9.387 3.000 0.2188 2.9103 3.1291 0.9301 0.03035 0.01043 9 12.517 4.000 0.2188 2.9103 3.1291 0.9301 0.03035 0.01043 12 15.646 5.000 0.2188 2.9103 3.1291 0.9301 0.03035 0.01043 The bottom reflectance at wavelength 515.0 nm is R = 0.238 Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 515.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.8748E-01 1.6890E+00 1.9765E+00 8.1247E-02 7.5107E-01 0.2826 0.4447 0.3389 1.0817E-01 1 0.00 0.00 1.2973E-01 1.0061E+00 1.1358E+00 5.3063E-02 7.2287E-01 0.4090 0.7185 0.5897 7.3406E-02 3 3.13 1.00 1.0557E-01 7.5108E-01 8.5665E-01 4.1013E-02 4.9249E-01 0.3885 0.6557 0.5270 8.3277E-02 5 6.26 2.00 7.6024E-02 5.0807E-01 5.8409E-01 2.9918E-02 3.2544E-01 0.3935 0.6405 0.5059 9.1932E-02 7 9.39 3.00 5.5447E-02 3.3355E-01 3.8900E-01 2.3148E-02 2.1388E-01 0.4175 0.6412 0.4903 1.0822E-01 9 12.52 4.00 4.5127E-02 2.1885E-01 2.6398E-01 2.0668E-02 1.4118E-01 0.4580 0.6451 0.4565 1.4639E-01 12 15.65 5.00 4.4843E-02 1.4561E-01 1.9045E-01 2.2421E-02 9.4077E-02 0.5000 0.6461 0.3762 2.3833E-01 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 0.19602 0.28970 0.27900 0.20218 0.35715 0.36944 0.26474 1.000 1.010 1.005 0.29607 0.35775 0.35014 0.31025 0.40527 0.41391 0.26491 2.000 2.010 2.005 0.33941 0.41328 0.40366 0.30181 0.41954 0.43146 0.17346 3.000 3.010 3.005 0.27567 0.42404 0.40288 0.19615 0.41848 0.44549 0.03833 4.000 4.010 4.005 0.11880 0.41658 0.36561 0.01987 0.41151 0.47882 -0.08358 4.990 5.000 4.995 0.03822 0.40396 0.31796 -0.17707 0.40013 0.58006 -0.15542 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 515.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 3.43143E-02 6.10040E-03 7.51293E-04 6.85169E-03 8.12223E-03 0.021894 9 1 10.0 0.0 180.0 2.95997E-02 6.05073E-03 6.35518E-04 6.68625E-03 8.05610E-03 0.021470 9 4 10.0 45.0 135.0 3.06692E-02 6.06593E-03 6.64391E-04 6.73032E-03 8.07634E-03 0.021663 9 7 10.0 90.0 90.0 3.43289E-02 6.16044E-03 7.47181E-04 6.90762E-03 8.20216E-03 0.021765 8 1 20.0 0.0 180.0 2.84243E-02 6.06740E-03 6.17794E-04 6.68519E-03 8.07829E-03 0.021735 8 4 20.0 45.0 135.0 2.95736E-02 6.07611E-03 6.41296E-04 6.71741E-03 8.08990E-03 0.021685 8 7 20.0 90.0 90.0 3.48350E-02 6.26395E-03 7.61414E-04 7.02536E-03 8.33999E-03 0.021858 7 1 30.0 0.0 180.0 2.93780E-02 6.15625E-03 6.69596E-04 6.82585E-03 8.19659E-03 0.022792 7 4 30.0 45.0 135.0 3.01208E-02 6.22131E-03 6.86091E-04 6.90740E-03 8.28321E-03 0.022778 7 7 30.0 90.0 90.0 3.59932E-02 6.47042E-03 8.19700E-04 7.29012E-03 8.61489E-03 0.022774 6 1 40.0 0.0 180.0 3.29212E-02 6.23400E-03 8.75593E-04 7.10959E-03 8.30011E-03 0.026597 6 4 40.0 45.0 135.0 3.27160E-02 6.31808E-03 8.68482E-04 7.18657E-03 8.41206E-03 0.026546 6 7 40.0 90.0 90.0 3.82835E-02 6.65646E-03 1.00985E-03 7.66631E-03 8.86259E-03 0.026378 5 1 50.0 0.0 180.0 4.01261E-02 6.39449E-03 1.49756E-03 7.89205E-03 8.51379E-03 0.037321 5 4 50.0 45.0 135.0 3.82420E-02 6.46253E-03 1.42446E-03 7.88699E-03 8.60438E-03 0.037249 5 7 50.0 90.0 90.0 4.25171E-02 6.93247E-03 1.56679E-03 8.49926E-03 9.23008E-03 0.036851 4 1 60.0 0.0 180.0 5.33740E-02 6.40179E-03 3.66352E-03 1.00653E-02 8.52352E-03 0.068639 4 4 60.0 45.0 135.0 4.86874E-02 6.46485E-03 3.31440E-03 9.77926E-03 8.60748E-03 0.068075 4 7 60.0 90.0 90.0 5.02212E-02 7.07754E-03 3.35479E-03 1.04323E-02 9.42323E-03 0.066800 3 1 70.0 0.0 180.0 7.85982E-02 6.00201E-03 1.24922E-02 1.84942E-02 7.99124E-03 0.158937 3 4 70.0 45.0 135.0 6.89620E-02 6.14576E-03 1.08283E-02 1.69740E-02 8.18262E-03 0.157018 3 7 70.0 90.0 90.0 6.54729E-02 6.77929E-03 1.00902E-02 1.68694E-02 9.02613E-03 0.154112 2 1 80.0 0.0 180.0 1.34057E-01 4.95152E-03 4.35379E-02 4.84895E-02 6.59259E-03 0.324773 2 4 80.0 45.0 135.0 1.14297E-01 5.01171E-03 3.75169E-02 4.25286E-02 6.67273E-03 0.328240 2 7 80.0 90.0 90.0 9.97579E-02 5.66409E-03 3.32928E-02 3.89569E-02 7.54132E-03 0.333736 1 1 87.5 0.0 180.0 2.11126E-01 3.69099E-03 9.18545E-02 9.55455E-02 4.91428E-03 0.435070 1 4 87.5 45.0 135.0 1.77514E-01 3.64416E-03 8.16683E-02 8.53125E-02 4.85193E-03 0.460068 1 7 87.5 90.0 90.0 1.46461E-01 4.14013E-03 7.15357E-02 7.56758E-02 5.51228E-03 0.488428 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 6.852E-03 3.431E-02 1.533E-01 1.111E-01 4.735E-01 9.123E-03 1.186E+01 6.100E-03 8.122E-03 1 0.00 0.00 1.128E-02 6.177E-02 2.211E-02 2.958E-02 6.305E-02 1.560E-02 4.706E+00 3 3.13 1.00 8.580E-03 8.910E-02 1.741E-02 2.542E-02 6.777E-02 1.742E-02 4.780E+00 5 6.26 2.00 6.847E-03 9.041E-02 1.355E-02 1.990E-02 4.625E-02 2.104E-02 4.369E+00 7 9.39 3.00 6.148E-03 7.779E-02 1.012E-02 1.434E-02 2.796E-02 2.874E-02 3.765E+00 9 12.52 4.00 6.305E-03 6.102E-02 7.690E-03 1.023E-02 1.684E-02 4.466E-02 3.278E+00 12 15.65 5.00 7.137E-03 4.532E-02 6.986E-03 7.672E-03 9.254E-03 7.586E-02 3.142E+00 Waveband 12 of 30 completed in 1.7 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 RADTRANX clear-sky spectral irradiances averaged over the band from 520.0 nm to 530.0 nm: Ed(diffuse) = 3.073E-01 Ed(direct) = 4.621E-01 Ed(total) = 7.694E-01 Absorption Coefficients of Individual Components at 525.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0417 0.1580 0.0996 0.0252 0.1997 3 3.081 1.000 0.0417 0.1580 0.0996 0.0252 0.1997 5 6.161 2.000 0.0417 0.1580 0.0996 0.0252 0.1997 7 9.242 3.000 0.0417 0.1580 0.0996 0.0252 0.1997 9 12.323 4.000 0.0417 0.1580 0.0996 0.0252 0.1997 12 15.403 5.000 0.0417 0.1580 0.0996 0.0252 0.1997 Scattering Coefficients of Individual Components at 525.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0023 2.8786 0.0000 0.0000 2.8809 3 3.081 1.000 0.0023 2.8786 0.0000 0.0000 2.8809 5 6.161 2.000 0.0023 2.8786 0.0000 0.0000 2.8809 7 9.242 3.000 0.0023 2.8786 0.0000 0.0000 2.8809 9 12.323 4.000 0.0023 2.8786 0.0000 0.0000 2.8809 12 15.403 5.000 0.0023 2.8786 0.0000 0.0000 2.8809 Backscattering Coefficients of Individual Components at 525.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00117 0.02879 0.00000 0.00000 0.02996 3 3.081 1.000 0.00117 0.02879 0.00000 0.00000 0.02996 5 6.161 2.000 0.00117 0.02879 0.00000 0.00000 0.02996 7 9.242 3.000 0.00117 0.02879 0.00000 0.00000 0.02996 9 12.323 4.000 0.00117 0.02879 0.00000 0.00000 0.02996 12 15.403 5.000 0.00117 0.02879 0.00000 0.00000 0.02996 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 0.1997 2.8809 3.0806 0.9352 0.02996 0.01040 3 3.081 1.000 0.1997 2.8809 3.0806 0.9352 0.02996 0.01040 5 6.161 2.000 0.1997 2.8809 3.0806 0.9352 0.02996 0.01040 7 9.242 3.000 0.1997 2.8809 3.0806 0.9352 0.02996 0.01040 9 12.323 4.000 0.1997 2.8809 3.0806 0.9352 0.02996 0.01040 12 15.403 5.000 0.1997 2.8809 3.0806 0.9352 0.02996 0.01040 The bottom reflectance at wavelength 525.0 nm is R = 0.253 Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 525.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.9603E-01 1.7253E+00 2.0213E+00 8.5422E-02 7.6942E-01 0.2886 0.4460 0.3384 1.1102E-01 1 0.00 0.00 1.4478E-01 1.0409E+00 1.1856E+00 5.9731E-02 7.4371E-01 0.4126 0.7145 0.5769 8.0315E-02 3 3.08 1.00 1.2084E-01 7.9854E-01 9.1938E-01 4.7552E-02 5.2097E-01 0.3935 0.6524 0.5149 9.1277E-02 5 6.16 2.00 9.0106E-02 5.5697E-01 6.4708E-01 3.5964E-02 3.5434E-01 0.3991 0.6362 0.4920 1.0150E-01 7 9.24 3.00 6.8008E-02 3.7674E-01 4.4475E-01 2.8748E-02 2.3960E-01 0.4227 0.6360 0.4741 1.1999E-01 9 12.32 4.00 5.6736E-02 2.5445E-01 3.1119E-01 2.6137E-02 1.6264E-01 0.4607 0.6392 0.4387 1.6070E-01 12 15.40 5.00 5.6342E-02 1.7412E-01 2.3046E-01 2.8171E-02 1.1141E-01 0.5000 0.6398 0.3612 2.5286E-01 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 0.18491 0.27446 0.26352 0.18148 0.33152 0.34463 0.23205 1.000 1.010 1.005 0.26319 0.32729 0.31887 0.27536 0.37646 0.38662 0.22680 2.000 2.010 2.005 0.30372 0.38290 0.37187 0.26585 0.39081 0.40493 0.14252 3.000 3.010 3.005 0.24428 0.39470 0.37168 0.16883 0.39030 0.42053 0.02445 4.000 4.010 4.005 0.10340 0.38797 0.33603 0.01307 0.38371 0.45484 -0.07967 4.990 5.000 4.995 0.06253 0.37764 0.30070 -0.15645 0.37298 0.55153 -0.14152 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 525.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 3.42082E-02 7.00465E-03 7.48969E-04 7.75362E-03 9.10380E-03 0.021894 9 1 10.0 0.0 180.0 2.95081E-02 6.94023E-03 6.33552E-04 7.57379E-03 9.02009E-03 0.021470 9 4 10.0 45.0 135.0 3.05743E-02 6.95894E-03 6.62336E-04 7.62128E-03 9.04440E-03 0.021663 9 7 10.0 90.0 90.0 3.42227E-02 7.06923E-03 7.44869E-04 7.81409E-03 9.18773E-03 0.021765 8 1 20.0 0.0 180.0 2.83364E-02 6.94910E-03 6.15883E-04 7.56499E-03 9.03161E-03 0.021735 8 4 20.0 45.0 135.0 2.94821E-02 6.96164E-03 6.39313E-04 7.60095E-03 9.04790E-03 0.021685 8 7 20.0 90.0 90.0 3.47272E-02 7.18005E-03 7.59059E-04 7.93911E-03 9.33177E-03 0.021858 7 1 30.0 0.0 180.0 2.92871E-02 7.03907E-03 6.67524E-04 7.70659E-03 9.14854E-03 0.022792 7 4 30.0 45.0 135.0 3.00276E-02 7.11739E-03 6.83969E-04 7.80136E-03 9.25034E-03 0.022778 7 7 30.0 90.0 90.0 3.58819E-02 7.40691E-03 8.17164E-04 8.22407E-03 9.62661E-03 0.022774 6 1 40.0 0.0 180.0 3.28193E-02 7.10543E-03 8.72884E-04 7.97831E-03 9.23478E-03 0.026597 6 4 40.0 45.0 135.0 3.26148E-02 7.20725E-03 8.65795E-04 8.07305E-03 9.36713E-03 0.026546 6 7 40.0 90.0 90.0 3.81651E-02 7.59921E-03 1.00672E-03 8.60593E-03 9.87654E-03 0.026378 5 1 50.0 0.0 180.0 4.00020E-02 7.27084E-03 1.49292E-03 8.76376E-03 9.44977E-03 0.037321 5 4 50.0 45.0 135.0 3.81237E-02 7.35545E-03 1.42006E-03 8.77551E-03 9.55973E-03 0.037249 5 7 50.0 90.0 90.0 4.23856E-02 7.89646E-03 1.56193E-03 9.45838E-03 1.02629E-02 0.036850 4 1 60.0 0.0 180.0 5.32089E-02 7.26017E-03 3.65220E-03 1.09124E-02 9.43590E-03 0.068639 4 4 60.0 45.0 135.0 4.85374E-02 7.34011E-03 3.30416E-03 1.06443E-02 9.53980E-03 0.068075 4 7 60.0 90.0 90.0 5.00625E-02 8.04239E-03 3.34437E-03 1.13868E-02 1.04525E-02 0.066804 3 1 70.0 0.0 180.0 7.83551E-02 6.79054E-03 1.24535E-02 1.92441E-02 8.82554E-03 0.158937 3 4 70.0 45.0 135.0 6.87487E-02 6.96165E-03 1.07948E-02 1.77564E-02 9.04792E-03 0.157018 3 7 70.0 90.0 90.0 6.52704E-02 7.68450E-03 1.00589E-02 1.77434E-02 9.98740E-03 0.154111 2 1 80.0 0.0 180.0 1.33642E-01 5.58892E-03 4.34033E-02 4.89922E-02 7.26381E-03 0.324773 2 4 80.0 45.0 135.0 1.13944E-01 5.66416E-03 3.74009E-02 4.30650E-02 7.36160E-03 0.328240 2 7 80.0 90.0 90.0 9.94493E-02 6.40545E-03 3.31898E-02 3.95952E-02 8.32504E-03 0.333735 1 1 87.5 0.0 180.0 2.10473E-01 4.16081E-03 9.15704E-02 9.57312E-02 5.40772E-03 0.435070 1 4 87.5 45.0 135.0 1.76965E-01 4.11346E-03 8.14157E-02 8.55292E-02 5.34618E-03 0.460068 1 7 87.5 90.0 90.0 1.46008E-01 4.67631E-03 7.13144E-02 7.59907E-02 6.07770E-03 0.488428 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 7.754E-03 3.421E-02 1.531E-01 1.110E-01 4.748E-01 1.008E-02 1.102E+01 7.005E-03 9.104E-03 1 0.00 0.00 1.295E-02 6.162E-02 2.448E-02 3.274E-02 6.888E-02 1.741E-02 4.613E+00 3 3.08 1.00 1.022E-02 9.187E-02 1.949E-02 2.840E-02 7.504E-02 1.961E-02 4.654E+00 5 6.16 2.00 8.450E-03 9.594E-02 1.565E-02 2.292E-02 5.309E-02 2.385E-02 4.256E+00 7 9.24 3.00 7.763E-03 8.489E-02 1.207E-02 1.706E-02 3.324E-02 3.240E-02 3.703E+00 9 12.32 4.00 7.998E-03 6.846E-02 9.460E-03 1.257E-02 2.068E-02 4.918E-02 3.268E+00 12 15.40 5.00 8.967E-03 5.226E-02 8.775E-03 9.633E-03 1.163E-02 8.049E-02 3.142E+00 Waveband 13 of 30 completed in 1.6 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 RADTRANX clear-sky spectral irradiances averaged over the band from 530.0 nm to 540.0 nm: Ed(diffuse) = 3.032E-01 Ed(direct) = 4.759E-01 Ed(total) = 7.791E-01 Absorption Coefficients of Individual Components at 535.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0452 0.1398 0.0880 0.0222 0.1850 3 3.033 1.000 0.0452 0.1398 0.0880 0.0222 0.1850 5 6.066 2.000 0.0452 0.1398 0.0880 0.0222 0.1850 7 9.098 3.000 0.0452 0.1398 0.0880 0.0222 0.1850 9 12.131 4.000 0.0452 0.1398 0.0880 0.0222 0.1850 12 15.164 5.000 0.0452 0.1398 0.0880 0.0222 0.1850 Scattering Coefficients of Individual Components at 535.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0022 2.8456 0.0000 0.0000 2.8478 3 3.033 1.000 0.0022 2.8456 0.0000 0.0000 2.8478 5 6.066 2.000 0.0022 2.8456 0.0000 0.0000 2.8478 7 9.098 3.000 0.0022 2.8456 0.0000 0.0000 2.8478 9 12.131 4.000 0.0022 2.8456 0.0000 0.0000 2.8478 12 15.164 5.000 0.0022 2.8456 0.0000 0.0000 2.8478 Backscattering Coefficients of Individual Components at 535.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00108 0.02846 0.00000 0.00000 0.02953 3 3.033 1.000 0.00108 0.02846 0.00000 0.00000 0.02953 5 6.066 2.000 0.00108 0.02846 0.00000 0.00000 0.02953 7 9.098 3.000 0.00108 0.02846 0.00000 0.00000 0.02953 9 12.131 4.000 0.00108 0.02846 0.00000 0.00000 0.02953 12 15.164 5.000 0.00108 0.02846 0.00000 0.00000 0.02953 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 0.1850 2.8478 3.0328 0.9390 0.02953 0.01037 3 3.033 1.000 0.1850 2.8478 3.0328 0.9390 0.02953 0.01037 5 6.066 2.000 0.1850 2.8478 3.0328 0.9390 0.02953 0.01037 7 9.098 3.000 0.1850 2.8478 3.0328 0.9390 0.02953 0.01037 9 12.131 4.000 0.1850 2.8478 3.0328 0.9390 0.02953 0.01037 12 15.164 5.000 0.1850 2.8478 3.0328 0.9390 0.02953 0.01037 The bottom reflectance at wavelength 535.0 nm is R = 0.266 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 3.0106E-01 1.7423E+00 2.0433E+00 8.8502E-02 7.7910E-01 0.2940 0.4472 0.3380 1.1359E-01 1 0.00 0.00 1.5714E-01 1.0630E+00 1.2201E+00 6.5315E-02 7.5589E-01 0.4157 0.7111 0.5660 8.6408E-02 3 3.03 1.00 1.3377E-01 8.3283E-01 9.6660E-01 5.3237E-02 5.4117E-01 0.3980 0.6498 0.5048 9.8372E-02 5 6.07 2.00 1.0259E-01 5.9515E-01 6.9774E-01 4.1449E-02 3.7658E-01 0.4040 0.6327 0.4803 1.1007E-01 7 9.10 3.00 7.9590E-02 4.1226E-01 4.9185E-01 3.4010E-02 2.6045E-01 0.4273 0.6318 0.4604 1.3058E-01 9 12.13 4.00 6.7752E-02 2.8493E-01 3.5268E-01 3.1384E-02 1.8076E-01 0.4632 0.6344 0.4235 1.7362E-01 12 15.16 5.00 6.7433E-02 1.9940E-01 2.6683E-01 3.3716E-02 1.2657E-01 0.5000 0.6348 0.3480 2.6639E-01 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 0.17683 0.26333 0.25219 0.16511 0.31154 0.32540 0.20567 1.000 1.010 1.005 0.23697 0.30335 0.29416 0.24735 0.35374 0.36535 0.19653 2.000 2.010 2.005 0.27498 0.35873 0.34641 0.23701 0.36805 0.38427 0.11845 3.000 3.010 3.005 0.21900 0.37131 0.34665 0.14692 0.36794 0.40118 0.01358 4.000 4.010 4.005 0.09016 0.36521 0.31232 0.00659 0.36165 0.43640 -0.07721 4.990 5.000 4.995 0.06911 0.35603 0.28360 -0.14337 0.35130 0.53032 -0.13133 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 535.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 3.37466E-02 7.79966E-03 7.38863E-04 8.53853E-03 1.00111E-02 0.021894 9 1 10.0 0.0 180.0 2.91100E-02 7.72193E-03 6.25003E-04 8.34694E-03 9.91135E-03 0.021470 9 4 10.0 45.0 135.0 3.01618E-02 7.74349E-03 6.53399E-04 8.39689E-03 9.93902E-03 0.021663 9 7 10.0 90.0 90.0 3.37609E-02 7.86685E-03 7.34819E-04 8.60167E-03 1.00974E-02 0.021765 8 1 20.0 0.0 180.0 2.79540E-02 7.72197E-03 6.07573E-04 8.32954E-03 9.91139E-03 0.021735 8 4 20.0 45.0 135.0 2.90843E-02 7.73758E-03 6.30686E-04 8.36826E-03 9.93143E-03 0.021685 8 7 20.0 90.0 90.0 3.42586E-02 7.98157E-03 7.48817E-04 8.73039E-03 1.02446E-02 0.021858 7 1 30.0 0.0 180.0 2.88919E-02 7.81032E-03 6.58517E-04 8.46884E-03 1.00248E-02 0.022792 7 4 30.0 45.0 135.0 2.96225E-02 7.89997E-03 6.74740E-04 8.57471E-03 1.01399E-02 0.022778 7 7 30.0 90.0 90.0 3.53977E-02 8.22317E-03 8.06138E-04 9.02931E-03 1.05547E-02 0.022774 6 1 40.0 0.0 180.0 3.23765E-02 7.86114E-03 8.61105E-04 8.72225E-03 1.00900E-02 0.026597 6 4 40.0 45.0 135.0 3.21748E-02 7.97815E-03 8.54113E-04 8.83226E-03 1.02402E-02 0.026546 6 7 40.0 90.0 90.0 3.76501E-02 8.41448E-03 9.93139E-04 9.40762E-03 1.08003E-02 0.026378 5 1 50.0 0.0 180.0 3.94622E-02 8.02615E-03 1.47278E-03 9.49893E-03 1.03018E-02 0.037321 5 4 50.0 45.0 135.0 3.76093E-02 8.12490E-03 1.40090E-03 9.52580E-03 1.04286E-02 0.037249 5 7 50.0 90.0 90.0 4.18137E-02 8.72470E-03 1.54084E-03 1.02655E-02 1.11984E-02 0.036850 4 1 60.0 0.0 180.0 5.24909E-02 7.99481E-03 3.60293E-03 1.15977E-02 1.02616E-02 0.068639 4 4 60.0 45.0 135.0 4.78830E-02 8.08916E-03 3.25958E-03 1.13487E-02 1.03827E-02 0.068074 4 7 60.0 90.0 90.0 4.93838E-02 8.86553E-03 3.29920E-03 1.21647E-02 1.13792E-02 0.066807 3 1 70.0 0.0 180.0 7.72978E-02 7.46093E-03 1.22855E-02 1.97464E-02 9.57635E-03 0.158937 3 4 70.0 45.0 135.0 6.78210E-02 7.65534E-03 1.06491E-02 1.83044E-02 9.82587E-03 0.157018 3 7 70.0 90.0 90.0 6.43896E-02 8.45147E-03 9.92309E-03 1.83746E-02 1.08477E-02 0.154110 2 1 80.0 0.0 180.0 1.31839E-01 6.12714E-03 4.28176E-02 4.89448E-02 7.86438E-03 0.324773 2 4 80.0 45.0 135.0 1.12406E-01 6.21519E-03 3.68962E-02 4.31114E-02 7.97739E-03 0.328240 2 7 80.0 90.0 90.0 9.81074E-02 7.02938E-03 3.27419E-02 3.97713E-02 9.02243E-03 0.333735 1 1 87.5 0.0 180.0 2.07633E-01 4.55608E-03 9.03348E-02 9.48909E-02 5.84788E-03 0.435070 1 4 87.5 45.0 135.0 1.74577E-01 4.50840E-03 8.03171E-02 8.48255E-02 5.78668E-03 0.460068 1 7 87.5 90.0 90.0 1.44038E-01 5.12604E-03 7.03521E-02 7.54781E-02 6.57944E-03 0.488427 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 8.539E-03 3.375E-02 1.513E-01 1.098E-01 4.710E-01 1.096E-02 1.036E+01 7.800E-03 1.001E-02 1 0.00 0.00 1.442E-02 6.082E-02 2.638E-02 3.527E-02 7.344E-02 1.907E-02 4.530E+00 3 3.03 1.00 1.172E-02 9.315E-02 2.117E-02 3.078E-02 8.077E-02 2.165E-02 4.544E+00 5 6.07 2.00 9.963E-03 9.958E-02 1.740E-02 2.545E-02 5.883E-02 2.646E-02 4.160E+00 7 9.10 3.00 9.318E-03 9.015E-02 1.377E-02 1.944E-02 3.789E-02 3.578E-02 3.650E+00 9 12.13 4.00 9.639E-03 7.436E-02 1.107E-02 1.469E-02 2.421E-02 5.332E-02 3.256E+00 12 15.16 5.00 1.073E-02 5.804E-02 1.048E-02 1.150E-02 1.389E-02 8.479E-02 3.142E+00 Waveband 14 of 30 completed in 1.6 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 RADTRANX clear-sky spectral irradiances averaged over the band from 540.0 nm to 550.0 nm: Ed(diffuse) = 2.923E-01 Ed(direct) = 4.782E-01 Ed(total) = 7.705E-01 Absorption Coefficients of Individual Components at 545.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0511 0.1228 0.0776 0.0192 0.1739 3 2.987 1.000 0.0511 0.1228 0.0776 0.0192 0.1739 5 5.975 2.000 0.0511 0.1228 0.0776 0.0192 0.1739 7 8.962 3.000 0.0511 0.1228 0.0776 0.0192 0.1739 9 11.949 4.000 0.0511 0.1228 0.0776 0.0192 0.1739 12 14.936 5.000 0.0511 0.1228 0.0776 0.0192 0.1739 Scattering Coefficients of Individual Components at 545.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0020 2.8114 0.0000 0.0000 2.8134 3 2.987 1.000 0.0020 2.8114 0.0000 0.0000 2.8134 5 5.975 2.000 0.0020 2.8114 0.0000 0.0000 2.8134 7 8.962 3.000 0.0020 2.8114 0.0000 0.0000 2.8134 9 11.949 4.000 0.0020 2.8114 0.0000 0.0000 2.8134 12 14.936 5.000 0.0020 2.8114 0.0000 0.0000 2.8134 Backscattering Coefficients of Individual Components at 545.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00100 0.02811 0.00000 0.00000 0.02911 3 2.987 1.000 0.00100 0.02811 0.00000 0.00000 0.02911 5 5.975 2.000 0.00100 0.02811 0.00000 0.00000 0.02911 7 8.962 3.000 0.00100 0.02811 0.00000 0.00000 0.02911 9 11.949 4.000 0.00100 0.02811 0.00000 0.00000 0.02911 12 14.936 5.000 0.00100 0.02811 0.00000 0.00000 0.02911 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 0.1739 2.8134 2.9873 0.9418 0.02911 0.01035 3 2.987 1.000 0.1739 2.8134 2.9873 0.9418 0.02911 0.01035 5 5.975 2.000 0.1739 2.8134 2.9873 0.9418 0.02911 0.01035 7 8.962 3.000 0.1739 2.8134 2.9873 0.9418 0.02911 0.01035 9 11.949 4.000 0.1739 2.8134 2.9873 0.9418 0.02911 0.01035 12 14.936 5.000 0.1739 2.8134 2.9873 0.9418 0.02911 0.01035 The bottom reflectance at wavelength 545.0 nm is R = 0.281 Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 545.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.9862E-01 1.7186E+00 2.0172E+00 8.9245E-02 7.7050E-01 0.2989 0.4483 0.3377 1.1583E-01 1 0.00 0.00 1.6417E-01 1.0587E+00 1.2229E+00 6.8680E-02 7.4992E-01 0.4183 0.7083 0.5571 9.1583E-02 3 2.99 1.00 1.4194E-01 8.4279E-01 9.8473E-01 5.7053E-02 5.4599E-01 0.4019 0.6478 0.4965 1.0450E-01 5 5.97 2.00 1.1137E-01 6.1374E-01 7.2511E-01 4.5500E-02 3.8672E-01 0.4086 0.6301 0.4706 1.1766E-01 7 8.96 3.00 8.8426E-02 4.3312E-01 5.2154E-01 3.8177E-02 2.7220E-01 0.4317 0.6285 0.4487 1.4025E-01 9 11.95 4.00 7.6673E-02 3.0482E-01 3.8149E-01 3.5740E-02 1.9222E-01 0.4661 0.6306 0.4102 1.8593E-01 12 14.94 5.00 7.6909E-02 2.1716E-01 2.9407E-01 3.8454E-02 1.3694E-01 0.5000 0.6306 0.3349 2.8082E-01 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 0.16927 0.25520 0.24366 0.15185 0.29624 0.31081 0.18382 1.000 1.010 1.005 0.21590 0.28485 0.27491 0.22444 0.33614 0.34919 0.17141 2.000 2.010 2.005 0.25126 0.33985 0.32624 0.21286 0.35036 0.36871 0.09808 3.000 3.010 3.005 0.19727 0.35301 0.32659 0.12752 0.35052 0.38694 0.00333 4.000 4.010 4.005 0.07636 0.34727 0.29276 -0.00178 0.34438 0.42360 -0.07710 4.990 5.000 4.995 0.05113 0.33762 0.26277 -0.13886 0.33397 0.51799 -0.12467 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 545.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 3.25334E-02 8.34098E-03 7.12302E-04 9.05328E-03 1.08254E-02 0.021894 9 1 10.0 0.0 180.0 2.80635E-02 8.25305E-03 6.02535E-04 8.85559E-03 1.07112E-02 0.021470 9 4 10.0 45.0 135.0 2.90775E-02 8.27635E-03 6.29910E-04 8.90626E-03 1.07415E-02 0.021663 9 7 10.0 90.0 90.0 3.25472E-02 8.40775E-03 7.08403E-04 9.11615E-03 1.09120E-02 0.021765 8 1 20.0 0.0 180.0 2.69491E-02 8.24364E-03 5.85731E-04 8.82937E-03 1.06990E-02 0.021735 8 4 20.0 45.0 135.0 2.80387E-02 8.26115E-03 6.08013E-04 8.86916E-03 1.07218E-02 0.021685 8 7 20.0 90.0 90.0 3.30271E-02 8.52114E-03 7.21897E-04 9.24304E-03 1.10592E-02 0.021858 7 1 30.0 0.0 180.0 2.78533E-02 8.32653E-03 6.34844E-04 8.96137E-03 1.08066E-02 0.022792 7 4 30.0 45.0 135.0 2.85576E-02 8.42366E-03 6.50484E-04 9.07415E-03 1.09327E-02 0.022778 7 7 30.0 90.0 90.0 3.41252E-02 8.76778E-03 7.77158E-04 9.54494E-03 1.13793E-02 0.022774 6 1 40.0 0.0 180.0 3.12126E-02 8.35772E-03 8.30149E-04 9.18787E-03 1.08471E-02 0.026597 6 4 40.0 45.0 135.0 3.10181E-02 8.48484E-03 8.23408E-04 9.30825E-03 1.10121E-02 0.026546 6 7 40.0 90.0 90.0 3.62966E-02 8.94826E-03 9.57435E-04 9.90569E-03 1.16135E-02 0.026378 5 1 50.0 0.0 180.0 3.80436E-02 8.51485E-03 1.41983E-03 9.93469E-03 1.10510E-02 0.037321 5 4 50.0 45.0 135.0 3.62573E-02 8.62308E-03 1.35054E-03 9.97361E-03 1.11915E-02 0.037249 5 7 50.0 90.0 90.0 4.03105E-02 9.25848E-03 1.48544E-03 1.07439E-02 1.20161E-02 0.036850 4 1 60.0 0.0 180.0 5.06039E-02 8.46164E-03 3.47341E-03 1.19351E-02 1.09820E-02 0.068639 4 4 60.0 45.0 135.0 4.61621E-02 8.56574E-03 3.14241E-03 1.17082E-02 1.11171E-02 0.068073 4 7 60.0 90.0 90.0 4.76054E-02 9.38671E-03 3.18056E-03 1.25673E-02 1.21826E-02 0.066811 3 1 70.0 0.0 180.0 7.45190E-02 7.87967E-03 1.18438E-02 1.97235E-02 1.02266E-02 0.158937 3 4 70.0 45.0 135.0 6.53829E-02 8.08932E-03 1.02663E-02 1.83556E-02 1.04987E-02 0.157018 3 7 70.0 90.0 90.0 6.20749E-02 8.92865E-03 9.56631E-03 1.84950E-02 1.15881E-02 0.154109 2 1 80.0 0.0 180.0 1.27099E-01 6.45732E-03 4.12784E-02 4.77357E-02 8.38064E-03 0.324773 2 4 80.0 45.0 135.0 1.08365E-01 6.55393E-03 3.55698E-02 4.21238E-02 8.50603E-03 0.328240 2 7 80.0 90.0 90.0 9.45805E-02 7.41079E-03 3.15648E-02 3.89756E-02 9.61812E-03 0.333735 1 1 87.5 0.0 180.0 2.00168E-01 4.79617E-03 8.70873E-02 9.18835E-02 6.22473E-03 0.435070 1 4 87.5 45.0 135.0 1.68301E-01 4.74890E-03 7.74298E-02 8.21787E-02 6.16337E-03 0.460068 1 7 87.5 90.0 90.0 1.38860E-01 5.39852E-03 6.78230E-02 7.32215E-02 7.00648E-03 0.488427 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 9.053E-03 3.253E-02 1.460E-01 1.060E-01 4.566E-01 1.175E-02 9.858E+00 8.341E-03 1.083E-02 1 0.00 0.00 1.542E-02 5.867E-02 2.738E-02 3.661E-02 7.562E-02 2.056E-02 4.454E+00 3 2.99 1.00 1.284E-02 9.187E-02 2.209E-02 3.206E-02 8.371E-02 2.351E-02 4.445E+00 5 5.97 2.00 1.117E-02 1.001E-01 1.849E-02 2.701E-02 6.240E-02 2.889E-02 4.072E+00 7 8.96 3.00 1.062E-02 9.229E-02 1.493E-02 2.106E-02 4.112E-02 3.900E-02 3.596E+00 9 11.95 4.00 1.103E-02 7.751E-02 1.226E-02 1.625E-02 2.684E-02 5.741E-02 3.239E+00 12 14.94 5.00 1.224E-02 6.160E-02 1.188E-02 1.302E-02 1.574E-02 8.939E-02 3.142E+00 Waveband 15 of 30 completed in 1.6 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 RADTRANX clear-sky spectral irradiances averaged over the band from 550.0 nm to 560.0 nm: Ed(diffuse) = 2.837E-01 Ed(direct) = 4.828E-01 Ed(total) = 7.664E-01 Absorption Coefficients of Individual Components at 555.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0596 0.1098 0.0696 0.0160 0.1694 3 2.951 1.000 0.0596 0.1098 0.0696 0.0160 0.1694 5 5.902 2.000 0.0596 0.1098 0.0696 0.0160 0.1694 7 8.854 3.000 0.0596 0.1098 0.0696 0.0160 0.1694 9 11.805 4.000 0.0596 0.1098 0.0696 0.0160 0.1694 12 14.756 5.000 0.0596 0.1098 0.0696 0.0160 0.1694 Scattering Coefficients of Individual Components at 555.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0018 2.7800 0.0000 0.0000 2.7818 3 2.951 1.000 0.0018 2.7800 0.0000 0.0000 2.7818 5 5.902 2.000 0.0018 2.7800 0.0000 0.0000 2.7818 7 8.854 3.000 0.0018 2.7800 0.0000 0.0000 2.7818 9 11.805 4.000 0.0018 2.7800 0.0000 0.0000 2.7818 12 14.756 5.000 0.0018 2.7800 0.0000 0.0000 2.7818 Backscattering Coefficients of Individual Components at 555.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00092 0.02780 0.00000 0.00000 0.02872 3 2.951 1.000 0.00092 0.02780 0.00000 0.00000 0.02872 5 5.902 2.000 0.00092 0.02780 0.00000 0.00000 0.02872 7 8.854 3.000 0.00092 0.02780 0.00000 0.00000 0.02872 9 11.805 4.000 0.00092 0.02780 0.00000 0.00000 0.02872 12 14.756 5.000 0.00092 0.02780 0.00000 0.00000 0.02872 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 0.1694 2.7818 2.9512 0.9426 0.02872 0.01032 3 2.951 1.000 0.1694 2.7818 2.9512 0.9426 0.02872 0.01032 5 5.902 2.000 0.1694 2.7818 2.9512 0.9426 0.02872 0.01032 7 8.854 3.000 0.1694 2.7818 2.9512 0.9426 0.02872 0.01032 9 11.805 4.000 0.1694 2.7818 2.9512 0.9426 0.02872 0.01032 12 14.756 5.000 0.1694 2.7818 2.9512 0.9426 0.02872 0.01032 The bottom reflectance at wavelength 555.0 nm is R = 0.296 Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 555.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.9604E-01 1.7054E+00 2.0014E+00 8.9422E-02 7.6644E-01 0.3021 0.4494 0.3383 1.1667E-01 1 0.00 0.00 1.6661E-01 1.0561E+00 1.2228E+00 6.9963E-02 7.4697E-01 0.4199 0.7073 0.5537 9.3663E-02 3 2.95 1.00 1.4528E-01 8.4636E-01 9.9164E-01 5.8769E-02 5.4785E-01 0.4045 0.6473 0.4932 1.0727E-01 5 5.90 2.00 1.1554E-01 6.2161E-01 7.3716E-01 4.7602E-02 3.9111E-01 0.4120 0.6292 0.4660 1.2171E-01 7 8.85 3.00 9.3219E-02 4.4242E-01 5.3564E-01 4.0633E-02 2.7746E-01 0.4359 0.6272 0.4421 1.4644E-01 9 11.80 4.00 8.2213E-02 3.1400E-01 3.9621E-01 3.8642E-02 1.9749E-01 0.4700 0.6290 0.4009 1.9566E-01 12 14.76 5.00 8.4109E-02 2.2577E-01 3.0988E-01 4.2054E-02 1.4185E-01 0.5000 0.6283 0.3220 2.9647E-01 K-functions (units of 1/meter) at 555.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.16415 0.25134 0.23945 0.14403 0.28967 0.30473 0.16972 1.000 1.010 1.005 0.20404 0.27666 0.26601 0.21052 0.32834 0.34251 0.15385 2.000 2.010 2.005 0.23629 0.33127 0.31637 0.19608 0.34245 0.36275 0.08156 3.000 3.010 3.005 0.18051 0.34458 0.31601 0.11047 0.34267 0.38256 -0.00828 4.000 4.010 4.005 0.05952 0.33873 0.28073 -0.01553 0.33642 0.42223 -0.08238 4.990 5.000 4.995 -0.01394 0.32489 0.23304 -0.15066 0.32490 0.52463 -0.12466 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 555.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 3.15760E-02 8.59992E-03 6.91339E-04 9.29126E-03 1.12206E-02 0.021894 9 1 10.0 0.0 180.0 2.72376E-02 8.50602E-03 5.84803E-04 9.09082E-03 1.10981E-02 0.021470 9 4 10.0 45.0 135.0 2.82217E-02 8.52978E-03 6.11372E-04 9.14115E-03 1.11290E-02 0.021663 9 7 10.0 90.0 90.0 3.15894E-02 8.66406E-03 6.87555E-04 9.35161E-03 1.13042E-02 0.021765 8 1 20.0 0.0 180.0 2.61560E-02 8.48860E-03 5.68494E-04 9.05709E-03 1.10753E-02 0.021735 8 4 20.0 45.0 135.0 2.72136E-02 8.50648E-03 5.90120E-04 9.09660E-03 1.10987E-02 0.021685 8 7 20.0 90.0 90.0 3.20551E-02 8.77255E-03 7.00653E-04 9.47320E-03 1.14458E-02 0.021858 7 1 30.0 0.0 180.0 2.70336E-02 8.56445E-03 6.16161E-04 9.18061E-03 1.11743E-02 0.022792 7 4 30.0 45.0 135.0 2.77171E-02 8.66439E-03 6.31340E-04 9.29573E-03 1.13047E-02 0.022778 7 7 30.0 90.0 90.0 3.31209E-02 9.01631E-03 7.54287E-04 9.77059E-03 1.17638E-02 0.022774 6 1 40.0 0.0 180.0 3.02940E-02 8.57710E-03 8.05718E-04 9.38281E-03 1.11908E-02 0.026597 6 4 40.0 45.0 135.0 3.01053E-02 8.70796E-03 7.99176E-04 9.50713E-03 1.13615E-02 0.026546 6 7 40.0 90.0 90.0 3.52284E-02 9.18126E-03 9.29258E-04 1.01105E-02 1.19791E-02 0.026378 5 1 50.0 0.0 180.0 3.69240E-02 8.72297E-03 1.37805E-03 1.01010E-02 1.13811E-02 0.037321 5 4 50.0 45.0 135.0 3.51903E-02 8.83455E-03 1.31080E-03 1.01453E-02 1.15267E-02 0.037249 5 7 50.0 90.0 90.0 3.91242E-02 9.48309E-03 1.44171E-03 1.09248E-02 1.23729E-02 0.036850 4 1 60.0 0.0 180.0 4.91147E-02 8.65172E-03 3.37120E-03 1.20229E-02 1.12881E-02 0.068639 4 4 60.0 45.0 135.0 4.48041E-02 8.75925E-03 3.04994E-03 1.18092E-02 1.14284E-02 0.068073 4 7 60.0 90.0 90.0 4.62014E-02 9.59683E-03 3.08692E-03 1.26837E-02 1.25213E-02 0.066814 3 1 70.0 0.0 180.0 7.23260E-02 8.04295E-03 1.14952E-02 1.95382E-02 1.04939E-02 0.158936 3 4 70.0 45.0 135.0 6.34587E-02 8.25821E-03 9.96417E-03 1.82224E-02 1.07747E-02 0.157018 3 7 70.0 90.0 90.0 6.02481E-02 9.11348E-03 9.28473E-03 1.83982E-02 1.18906E-02 0.154108 2 1 80.0 0.0 180.0 1.23359E-01 6.58003E-03 4.00636E-02 4.66436E-02 8.58516E-03 0.324773 2 4 80.0 45.0 135.0 1.05176E-01 6.67972E-03 3.45230E-02 4.12028E-02 8.71523E-03 0.328240 2 7 80.0 90.0 90.0 9.17971E-02 7.55242E-03 3.06358E-02 3.81883E-02 9.85387E-03 0.333734 1 1 87.5 0.0 180.0 1.94278E-01 4.88308E-03 8.45244E-02 8.94075E-02 6.37110E-03 0.435070 1 4 87.5 45.0 135.0 1.63348E-01 4.83598E-03 7.51511E-02 7.99871E-02 6.30965E-03 0.460068 1 7 87.5 90.0 90.0 1.34773E-01 5.49761E-03 6.58270E-02 7.13246E-02 7.17289E-03 0.488427 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 9.291E-03 3.158E-02 1.418E-01 1.030E-01 4.454E-01 1.212E-02 9.624E+00 8.600E-03 1.122E-02 1 0.00 0.00 1.590E-02 5.696E-02 2.762E-02 3.697E-02 7.635E-02 2.128E-02 4.401E+00 3 2.95 1.00 1.345E-02 9.047E-02 2.232E-02 3.242E-02 8.481E-02 2.455E-02 4.370E+00 5 5.90 2.00 1.191E-02 9.960E-02 1.886E-02 2.757E-02 6.396E-02 3.046E-02 3.995E+00 7 8.85 3.00 1.148E-02 9.275E-02 1.540E-02 2.174E-02 4.265E-02 4.138E-02 3.539E+00 9 11.80 4.00 1.204E-02 7.865E-02 1.282E-02 1.699E-02 2.816E-02 6.095E-02 3.210E+00 12 14.76 5.00 1.339E-02 6.309E-02 1.284E-02 1.404E-02 1.694E-02 9.437E-02 3.142E+00 Waveband 16 of 30 completed in 1.6 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 RADTRANX clear-sky spectral irradiances averaged over the band from 560.0 nm to 570.0 nm: Ed(diffuse) = 2.743E-01 Ed(direct) = 4.849E-01 Ed(total) = 7.592E-01 Absorption Coefficients of Individual Components at 565.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0642 0.0965 0.0628 0.0137 0.1607 3 2.913 1.000 0.0642 0.0965 0.0628 0.0137 0.1607 5 5.825 2.000 0.0642 0.0965 0.0628 0.0137 0.1607 7 8.738 3.000 0.0642 0.0965 0.0628 0.0137 0.1607 9 11.651 4.000 0.0642 0.0965 0.0628 0.0137 0.1607 12 14.563 5.000 0.0642 0.0965 0.0628 0.0137 0.1607 Scattering Coefficients of Individual Components at 565.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0017 2.7502 0.0000 0.0000 2.7520 3 2.913 1.000 0.0017 2.7502 0.0000 0.0000 2.7520 5 5.825 2.000 0.0017 2.7502 0.0000 0.0000 2.7520 7 8.738 3.000 0.0017 2.7502 0.0000 0.0000 2.7520 9 11.651 4.000 0.0017 2.7502 0.0000 0.0000 2.7520 12 14.563 5.000 0.0017 2.7502 0.0000 0.0000 2.7520 Backscattering Coefficients of Individual Components at 565.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00085 0.02750 0.00000 0.00000 0.02835 3 2.913 1.000 0.00085 0.02750 0.00000 0.00000 0.02835 5 5.825 2.000 0.00085 0.02750 0.00000 0.00000 0.02835 7 8.738 3.000 0.00085 0.02750 0.00000 0.00000 0.02835 9 11.651 4.000 0.00085 0.02750 0.00000 0.00000 0.02835 12 14.563 5.000 0.00085 0.02750 0.00000 0.00000 0.02835 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 0.1607 2.7520 2.9127 0.9448 0.02835 0.01030 3 2.913 1.000 0.1607 2.7520 2.9127 0.9448 0.02835 0.01030 5 5.825 2.000 0.1607 2.7520 2.9127 0.9448 0.02835 0.01030 7 8.738 3.000 0.1607 2.7520 2.9127 0.9448 0.02835 0.01030 9 11.651 4.000 0.1607 2.7520 2.9127 0.9448 0.02835 0.01030 12 14.563 5.000 0.1607 2.7520 2.9127 0.9448 0.02835 0.01030 The bottom reflectance at wavelength 565.0 nm is R = 0.312 Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 565.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.9430E-01 1.6854E+00 1.9797E+00 9.0271E-02 7.5922E-01 0.3067 0.4505 0.3379 1.1890E-01 1 0.00 0.00 1.7317E-01 1.0530E+00 1.2262E+00 7.3170E-02 7.4210E-01 0.4225 0.7047 0.5455 9.8598E-02 3 2.91 1.00 1.5291E-01 8.5432E-01 1.0072E+00 6.2436E-02 5.5155E-01 0.4083 0.6456 0.4856 1.1320E-01 5 5.83 2.00 1.2393E-01 6.3696E-01 7.6089E-01 5.1587E-02 3.9935E-01 0.4163 0.6270 0.4570 1.2918E-01 7 8.74 3.00 1.0193E-01 4.6018E-01 5.6211E-01 4.4849E-02 2.8733E-01 0.4400 0.6244 0.4314 1.5609E-01 9 11.65 4.00 9.1289E-02 3.3143E-01 4.2272E-01 4.3160E-02 2.0738E-01 0.4728 0.6257 0.3885 2.0812E-01 12 14.56 5.00 9.4132E-02 2.4183E-01 3.3596E-01 4.7066E-02 1.5105E-01 0.5000 0.6246 0.3095 3.1159E-01 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 0.15802 0.24559 0.23322 0.13296 0.27762 0.29346 0.15147 1.000 1.010 1.005 0.18678 0.26204 0.25061 0.19155 0.31438 0.33007 0.13359 2.000 2.010 2.005 0.21657 0.31612 0.29990 0.17614 0.32832 0.35091 0.06573 3.000 3.010 3.005 0.16243 0.32979 0.29942 0.09463 0.32868 0.37203 -0.01601 4.000 4.010 4.005 0.04765 0.32413 0.26436 -0.02268 0.32249 0.41341 -0.08229 4.990 5.000 4.995 -0.03477 0.30900 0.21280 -0.14851 0.31069 0.51784 -0.11962 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 565.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 3.05305E-02 9.14424E-03 6.68449E-04 9.81269E-03 1.20442E-02 0.021894 9 1 10.0 0.0 180.0 2.63358E-02 9.04071E-03 5.65440E-04 9.60615E-03 1.19079E-02 0.021470 9 4 10.0 45.0 135.0 2.72873E-02 9.06576E-03 5.91130E-04 9.65689E-03 1.19409E-02 0.021663 9 7 10.0 90.0 90.0 3.05435E-02 9.20690E-03 6.64790E-04 9.87169E-03 1.21268E-02 0.021765 8 1 20.0 0.0 180.0 2.52900E-02 9.01286E-03 5.49671E-04 9.56253E-03 1.18712E-02 0.021735 8 4 20.0 45.0 135.0 2.63125E-02 9.03198E-03 5.70582E-04 9.60256E-03 1.18964E-02 0.021685 8 7 20.0 90.0 90.0 3.09938E-02 9.31215E-03 6.77454E-04 9.98960E-03 1.22654E-02 0.021858 7 1 30.0 0.0 180.0 2.61385E-02 9.08180E-03 5.95760E-04 9.67756E-03 1.19620E-02 0.022792 7 4 30.0 45.0 135.0 2.67994E-02 9.18837E-03 6.10437E-04 9.79881E-03 1.21024E-02 0.022778 7 7 30.0 90.0 90.0 3.20243E-02 9.55857E-03 7.29313E-04 1.02879E-02 1.25900E-02 0.022774 6 1 40.0 0.0 180.0 2.92910E-02 9.07128E-03 7.79041E-04 9.85032E-03 1.19481E-02 0.026597 6 4 40.0 45.0 135.0 2.91085E-02 9.21110E-03 7.72715E-04 9.98382E-03 1.21323E-02 0.026546 6 7 40.0 90.0 90.0 3.40620E-02 9.70775E-03 8.98490E-04 1.06062E-02 1.27865E-02 0.026378 5 1 50.0 0.0 180.0 3.57015E-02 9.20620E-03 1.33242E-03 1.05386E-02 1.21258E-02 0.037321 5 4 50.0 45.0 135.0 3.40251E-02 9.32592E-03 1.26740E-03 1.05933E-02 1.22835E-02 0.037249 5 7 50.0 90.0 90.0 3.78288E-02 1.00054E-02 1.39397E-03 1.13994E-02 1.31785E-02 0.036849 4 1 60.0 0.0 180.0 4.74885E-02 9.10978E-03 3.25959E-03 1.23694E-02 1.19988E-02 0.068640 4 4 60.0 45.0 135.0 4.33211E-02 9.22558E-03 2.94896E-03 1.21745E-02 1.21514E-02 0.068072 4 7 60.0 90.0 90.0 4.46688E-02 1.01022E-02 2.98467E-03 1.30869E-02 1.33061E-02 0.066818 3 1 70.0 0.0 180.0 6.99313E-02 8.45074E-03 1.11146E-02 1.95654E-02 1.11308E-02 0.158936 3 4 70.0 45.0 135.0 6.13577E-02 8.67959E-03 9.63426E-03 1.83139E-02 1.14322E-02 0.157018 3 7 70.0 90.0 90.0 5.82533E-02 9.57225E-03 8.97726E-03 1.85495E-02 1.26080E-02 0.154107 2 1 80.0 0.0 180.0 1.19274E-01 6.89898E-03 3.87371E-02 4.56361E-02 9.08692E-03 0.324773 2 4 80.0 45.0 135.0 1.01694E-01 7.00592E-03 3.33800E-02 4.03859E-02 9.22778E-03 0.328240 2 7 80.0 90.0 90.0 8.87578E-02 7.91589E-03 2.96215E-02 3.75374E-02 1.04263E-02 0.333734 1 1 87.5 0.0 180.0 1.87845E-01 5.11402E-03 8.17259E-02 8.68399E-02 6.73588E-03 0.435070 1 4 87.5 45.0 135.0 1.57940E-01 5.06658E-03 7.26629E-02 7.77295E-02 6.67339E-03 0.460068 1 7 87.5 90.0 90.0 1.30311E-01 5.75615E-03 6.36475E-02 6.94037E-02 7.58165E-03 0.488427 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 9.813E-03 3.053E-02 1.373E-01 9.986E-02 4.331E-01 1.292E-02 9.199E+00 9.144E-03 1.204E-02 1 0.00 0.00 1.690E-02 5.511E-02 2.855E-02 3.818E-02 7.828E-02 2.278E-02 4.328E+00 3 2.91 1.00 1.459E-02 8.923E-02 2.313E-02 3.354E-02 8.732E-02 2.645E-02 4.280E+00 5 5.83 2.00 1.316E-02 9.979E-02 1.983E-02 2.895E-02 6.709E-02 3.296E-02 3.919E+00 7 8.74 3.00 1.284E-02 9.433E-02 1.648E-02 2.321E-02 4.558E-02 4.469E-02 3.493E+00 9 11.65 4.00 1.351E-02 8.117E-02 1.396E-02 1.847E-02 3.063E-02 6.514E-02 3.195E+00 12 14.56 5.00 1.498E-02 6.606E-02 1.429E-02 1.560E-02 1.881E-02 9.918E-02 3.142E+00 Waveband 17 of 30 completed in 1.6 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 RADTRANX clear-sky spectral irradiances averaged over the band from 570.0 nm to 580.0 nm: Ed(diffuse) = 2.683E-01 Ed(direct) = 4.921E-01 Ed(total) = 7.604E-01 Absorption Coefficients of Individual Components at 575.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0772 0.0860 0.0570 0.0134 0.1632 3 2.883 1.000 0.0772 0.0860 0.0570 0.0134 0.1632 5 5.766 2.000 0.0772 0.0860 0.0570 0.0134 0.1632 7 8.648 3.000 0.0772 0.0860 0.0570 0.0134 0.1632 9 11.531 4.000 0.0772 0.0860 0.0570 0.0134 0.1632 12 14.414 5.000 0.0772 0.0860 0.0570 0.0134 0.1632 Scattering Coefficients of Individual Components at 575.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0016 2.7180 0.0000 0.0000 2.7196 3 2.883 1.000 0.0016 2.7180 0.0000 0.0000 2.7196 5 5.766 2.000 0.0016 2.7180 0.0000 0.0000 2.7196 7 8.648 3.000 0.0016 2.7180 0.0000 0.0000 2.7196 9 11.531 4.000 0.0016 2.7180 0.0000 0.0000 2.7196 12 14.414 5.000 0.0016 2.7180 0.0000 0.0000 2.7196 Backscattering Coefficients of Individual Components at 575.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00079 0.02718 0.00000 0.00000 0.02797 3 2.883 1.000 0.00079 0.02718 0.00000 0.00000 0.02797 5 5.766 2.000 0.00079 0.02718 0.00000 0.00000 0.02797 7 8.648 3.000 0.00079 0.02718 0.00000 0.00000 0.02797 9 11.531 4.000 0.00079 0.02718 0.00000 0.00000 0.02797 12 14.414 5.000 0.00079 0.02718 0.00000 0.00000 0.02797 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 0.1632 2.7196 2.8828 0.9434 0.02797 0.01028 3 2.883 1.000 0.1632 2.7196 2.8828 0.9434 0.02797 0.01028 5 5.766 2.000 0.1632 2.7196 2.8828 0.9434 0.02797 0.01028 7 8.648 3.000 0.1632 2.7196 2.8828 0.9434 0.02797 0.01028 9 11.531 4.000 0.1632 2.7196 2.8828 0.9434 0.02797 0.01028 12 14.414 5.000 0.1632 2.7196 2.8828 0.9434 0.02797 0.01028 The bottom reflectance at wavelength 575.0 nm is R = 0.322 Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 575.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.9104E-01 1.6843E+00 1.9753E+00 8.9513E-02 7.6042E-01 0.3076 0.4515 0.3396 1.1772E-01 1 0.00 0.00 1.6937E-01 1.0517E+00 1.2211E+00 7.1544E-02 7.4243E-01 0.4224 0.7059 0.5494 9.6364E-02 3 2.88 1.00 1.4966E-01 8.5075E-01 1.0004E+00 6.1164E-02 5.5035E-01 0.4087 0.6469 0.4890 1.1114E-01 5 5.77 2.00 1.2160E-01 6.3275E-01 7.5434E-01 5.0775E-02 3.9747E-01 0.4176 0.6282 0.4596 1.2775E-01 7 8.65 3.00 1.0060E-01 4.5607E-01 5.5667E-01 4.4524E-02 2.8526E-01 0.4426 0.6255 0.4325 1.5608E-01 9 11.53 4.00 9.1113E-02 3.2775E-01 4.1887E-01 4.3385E-02 2.0540E-01 0.4762 0.6267 0.3868 2.1122E-01 12 14.41 5.00 9.6115E-02 2.3892E-01 3.3504E-01 4.8058E-02 1.4934E-01 0.5000 0.6250 0.3023 3.2181E-01 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 0.15557 0.24530 0.23285 0.13149 0.28022 0.29610 0.14720 1.000 1.010 1.005 0.18540 0.26470 0.25283 0.18843 0.31693 0.33301 0.12636 2.000 2.010 2.005 0.21262 0.31848 0.30141 0.16959 0.33083 0.35447 0.05631 3.000 3.010 3.005 0.15420 0.33212 0.29994 0.08396 0.33115 0.37693 -0.02566 4.000 4.010 4.005 0.03325 0.32608 0.26231 -0.03670 0.32473 0.42173 -0.09033 4.990 5.000 4.995 -0.11206 0.30504 0.18556 -0.16877 0.31135 0.53837 -0.12497 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 2.98631E-02 8.97342E-03 6.53837E-04 9.62725E-03 1.18007E-02 0.021894 9 1 10.0 0.0 180.0 2.57601E-02 8.87018E-03 5.53080E-04 9.42326E-03 1.16649E-02 0.021470 9 4 10.0 45.0 135.0 2.66908E-02 8.89426E-03 5.78208E-04 9.47247E-03 1.16966E-02 0.021663 9 7 10.0 90.0 90.0 2.98758E-02 9.03181E-03 6.50258E-04 9.68207E-03 1.18775E-02 0.021765 8 1 20.0 0.0 180.0 2.47371E-02 8.83851E-03 5.37655E-04 9.37616E-03 1.16233E-02 0.021735 8 4 20.0 45.0 135.0 2.57373E-02 8.85642E-03 5.58109E-04 9.41453E-03 1.16468E-02 0.021685 8 7 20.0 90.0 90.0 3.03162E-02 9.12981E-03 6.62645E-04 9.79246E-03 1.20063E-02 0.021858 7 1 30.0 0.0 180.0 2.55671E-02 8.90070E-03 5.82737E-04 9.48343E-03 1.17050E-02 0.022792 7 4 30.0 45.0 135.0 2.62136E-02 9.00397E-03 5.97093E-04 9.60107E-03 1.18409E-02 0.022778 7 7 30.0 90.0 90.0 3.13242E-02 9.36516E-03 7.13370E-04 1.00785E-02 1.23158E-02 0.022774 6 1 40.0 0.0 180.0 2.86507E-02 8.87919E-03 7.62010E-04 9.64120E-03 1.16768E-02 0.026597 6 4 40.0 45.0 135.0 2.84722E-02 9.01445E-03 7.55823E-04 9.77027E-03 1.18546E-02 0.026546 6 7 40.0 90.0 90.0 3.33174E-02 9.49925E-03 8.78847E-04 1.03781E-02 1.24922E-02 0.026378 5 1 50.0 0.0 180.0 3.49210E-02 9.00260E-03 1.30330E-03 1.03059E-02 1.18391E-02 0.037321 5 4 50.0 45.0 135.0 3.32813E-02 9.11795E-03 1.23969E-03 1.03576E-02 1.19907E-02 0.037249 5 7 50.0 90.0 90.0 3.70019E-02 9.78200E-03 1.36348E-03 1.11455E-02 1.28640E-02 0.036849 4 1 60.0 0.0 180.0 4.64504E-02 8.89895E-03 3.18834E-03 1.20873E-02 1.17027E-02 0.068640 4 4 60.0 45.0 135.0 4.23746E-02 9.01031E-03 2.88451E-03 1.18948E-02 1.18492E-02 0.068072 4 7 60.0 90.0 90.0 4.36894E-02 9.86775E-03 2.91939E-03 1.27871E-02 1.29768E-02 0.066821 3 1 70.0 0.0 180.0 6.84026E-02 8.24815E-03 1.08716E-02 1.91198E-02 1.08469E-02 0.158936 3 4 70.0 45.0 135.0 6.00164E-02 8.47000E-03 9.42366E-03 1.78937E-02 1.11386E-02 0.157018 3 7 70.0 90.0 90.0 5.69799E-02 9.34420E-03 8.78097E-03 1.81252E-02 1.22883E-02 0.154106 2 1 80.0 0.0 180.0 1.16667E-01 6.72796E-03 3.78903E-02 4.46183E-02 8.84775E-03 0.324773 2 4 80.0 45.0 135.0 9.94708E-02 6.83118E-03 3.26503E-02 3.94815E-02 8.98349E-03 0.328240 2 7 80.0 90.0 90.0 8.68175E-02 7.72282E-03 2.89739E-02 3.66967E-02 1.01561E-02 0.333733 1 1 87.5 0.0 180.0 1.83739E-01 4.98529E-03 7.99393E-02 8.49246E-02 6.55601E-03 0.435070 1 4 87.5 45.0 135.0 1.54487E-01 4.93839E-03 7.10745E-02 7.60129E-02 6.49433E-03 0.460068 1 7 87.5 90.0 90.0 1.27463E-01 5.61453E-03 6.22562E-02 6.78707E-02 7.38351E-03 0.488427 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 9.627E-03 2.986E-02 1.343E-01 9.767E-02 4.256E-01 1.266E-02 9.298E+00 8.973E-03 1.180E-02 1 0.00 0.00 1.659E-02 5.390E-02 2.776E-02 3.726E-02 7.713E-02 2.234E-02 4.313E+00 3 2.88 1.00 1.440E-02 8.770E-02 2.247E-02 3.273E-02 8.616E-02 2.616E-02 4.248E+00 5 5.77 2.00 1.310E-02 9.823E-02 1.926E-02 2.823E-02 6.619E-02 3.296E-02 3.875E+00 7 8.65 3.00 1.290E-02 9.294E-02 1.601E-02 2.265E-02 4.495E-02 4.524E-02 3.450E+00 9 11.53 4.00 1.370E-02 8.003E-02 1.362E-02 1.806E-02 3.022E-02 6.670E-02 3.167E+00 12 14.41 5.00 1.530E-02 6.515E-02 1.439E-02 1.569E-02 1.890E-02 1.024E-01 3.142E+00 Waveband 18 of 30 completed in 1.5 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 RADTRANX clear-sky spectral irradiances averaged over the band from 580.0 nm to 590.0 nm: Ed(diffuse) = 2.564E-01 Ed(direct) = 4.869E-01 Ed(total) = 7.432E-01 Absorption Coefficients of Individual Components at 585.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1100 0.0760 0.0505 0.0137 0.1860 3 2.871 1.000 0.1100 0.0760 0.0505 0.0137 0.1860 5 5.742 2.000 0.1100 0.0760 0.0505 0.0137 0.1860 7 8.613 3.000 0.1100 0.0760 0.0505 0.0137 0.1860 9 11.484 4.000 0.1100 0.0760 0.0505 0.0137 0.1860 12 14.355 5.000 0.1100 0.0760 0.0505 0.0137 0.1860 Scattering Coefficients of Individual Components at 585.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0015 2.6835 0.0000 0.0000 2.6850 3 2.871 1.000 0.0015 2.6835 0.0000 0.0000 2.6850 5 5.742 2.000 0.0015 2.6835 0.0000 0.0000 2.6850 7 8.613 3.000 0.0015 2.6835 0.0000 0.0000 2.6850 9 11.484 4.000 0.0015 2.6835 0.0000 0.0000 2.6850 12 14.355 5.000 0.0015 2.6835 0.0000 0.0000 2.6850 Backscattering Coefficients of Individual Components at 585.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00073 0.02684 0.00000 0.00000 0.02757 3 2.871 1.000 0.00073 0.02684 0.00000 0.00000 0.02757 5 5.742 2.000 0.00073 0.02684 0.00000 0.00000 0.02757 7 8.613 3.000 0.00073 0.02684 0.00000 0.00000 0.02757 9 11.484 4.000 0.00073 0.02684 0.00000 0.00000 0.02757 12 14.355 5.000 0.00073 0.02684 0.00000 0.00000 0.02757 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 0.1860 2.6850 2.8710 0.9352 0.02757 0.01027 3 2.871 1.000 0.1860 2.6850 2.8710 0.9352 0.02757 0.01027 5 5.742 2.000 0.1860 2.6850 2.8710 0.9352 0.02757 0.01027 7 8.613 3.000 0.1860 2.6850 2.8710 0.9352 0.02757 0.01027 9 11.484 4.000 0.1860 2.6850 2.8710 0.9352 0.02757 0.01027 12 14.355 5.000 0.1860 2.6850 2.8710 0.9352 0.02757 0.01027 The bottom reflectance at wavelength 585.0 nm is R = 0.331 Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 585.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.7354E-01 1.6427E+00 1.9163E+00 8.2665E-02 7.4323E-01 0.3022 0.4524 0.3447 1.1122E-01 1 0.00 0.00 1.4294E-01 1.0102E+00 1.1532E+00 5.9689E-02 7.2024E-01 0.4176 0.7129 0.5728 8.2873E-02 3 2.87 1.00 1.2366E-01 7.9233E-01 9.1599E-01 4.9871E-02 5.1746E-01 0.4033 0.6531 0.5105 9.6377E-02 5 5.74 2.00 9.7898E-02 5.6962E-01 6.6752E-01 4.0559E-02 3.6180E-01 0.4143 0.6352 0.4812 1.1210E-01 7 8.61 3.00 7.9806E-02 3.9707E-01 4.7688E-01 3.5420E-02 2.5143E-01 0.4438 0.6332 0.4530 1.4088E-01 9 11.48 4.00 7.3018E-02 2.7629E-01 3.4930E-01 3.5241E-02 1.7542E-01 0.4826 0.6349 0.4013 2.0090E-01 12 14.35 5.00 8.1901E-02 1.9580E-01 2.7770E-01 4.0951E-02 1.2379E-01 0.5000 0.6322 0.2983 3.3082E-01 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 0.15972 0.25707 0.24500 0.14779 0.30933 0.32394 0.16713 1.000 1.010 1.005 0.21251 0.29852 0.28691 0.21295 0.34917 0.36371 0.13931 2.000 2.010 2.005 0.23514 0.35229 0.33510 0.18380 0.36324 0.38592 0.05297 3.000 3.010 3.005 0.15871 0.36509 0.33052 0.07620 0.36308 0.41020 -0.04453 4.000 4.010 4.005 0.00554 0.35744 0.28377 -0.07094 0.35578 0.46334 -0.11710 4.990 5.000 4.995 -0.32610 0.31910 0.12925 -0.23821 0.33783 0.62139 -0.15103 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 2.85352E-02 7.35232E-03 6.24762E-04 7.97709E-03 9.89238E-03 0.021894 9 1 10.0 0.0 180.0 2.46146E-02 7.26968E-03 5.28485E-04 7.79817E-03 9.78119E-03 0.021470 9 4 10.0 45.0 135.0 2.55039E-02 7.28830E-03 5.52496E-04 7.84079E-03 9.80623E-03 0.021663 9 7 10.0 90.0 90.0 2.85473E-02 7.40042E-03 6.21342E-04 8.02177E-03 9.95710E-03 0.021765 8 1 20.0 0.0 180.0 2.36371E-02 7.24674E-03 5.13747E-04 7.76049E-03 9.75032E-03 0.021735 8 4 20.0 45.0 135.0 2.45929E-02 7.25890E-03 5.33290E-04 7.79219E-03 9.76668E-03 0.021685 8 7 20.0 90.0 90.0 2.89681E-02 7.48207E-03 6.33178E-04 8.11525E-03 1.00669E-02 0.021858 7 1 30.0 0.0 180.0 2.44302E-02 7.30130E-03 5.56824E-04 7.85812E-03 9.82372E-03 0.022792 7 4 30.0 45.0 135.0 2.50479E-02 7.38193E-03 5.70541E-04 7.95247E-03 9.93221E-03 0.022778 7 7 30.0 90.0 90.0 2.99313E-02 7.67710E-03 6.81647E-04 8.35875E-03 1.03294E-02 0.022774 6 1 40.0 0.0 180.0 2.73766E-02 7.29085E-03 7.28125E-04 8.01897E-03 9.80967E-03 0.026597 6 4 40.0 45.0 135.0 2.72061E-02 7.39546E-03 7.22213E-04 8.11767E-03 9.95042E-03 0.026546 6 7 40.0 90.0 90.0 3.18359E-02 7.79384E-03 8.39766E-04 8.63361E-03 1.04864E-02 0.026378 5 1 50.0 0.0 180.0 3.33682E-02 7.39907E-03 1.24534E-03 8.64441E-03 9.95528E-03 0.037321 5 4 50.0 45.0 135.0 3.18014E-02 7.48619E-03 1.18457E-03 8.67076E-03 1.00725E-02 0.037249 5 7 50.0 90.0 90.0 3.53565E-02 8.03536E-03 1.30284E-03 9.33821E-03 1.08114E-02 0.036849 4 1 60.0 0.0 180.0 4.43848E-02 7.32172E-03 3.04657E-03 1.03683E-02 9.85121E-03 0.068640 4 4 60.0 45.0 135.0 4.04907E-02 7.40460E-03 2.75624E-03 1.01608E-02 9.96271E-03 0.068071 4 7 60.0 90.0 90.0 4.17440E-02 8.11690E-03 2.78953E-03 1.09064E-02 1.09211E-02 0.066825 3 1 70.0 0.0 180.0 6.53609E-02 6.79526E-03 1.03882E-02 1.71835E-02 9.14286E-03 0.158936 3 4 70.0 45.0 135.0 5.73475E-02 6.96964E-03 9.00461E-03 1.59743E-02 9.37749E-03 0.157018 3 7 70.0 90.0 90.0 5.44461E-02 7.70189E-03 8.39044E-03 1.60923E-02 1.03627E-02 0.154106 2 1 80.0 0.0 180.0 1.11479E-01 5.55033E-03 3.62054E-02 4.17558E-02 7.46784E-03 0.324774 2 4 80.0 45.0 135.0 9.50475E-02 5.62863E-03 3.11984E-02 3.68271E-02 7.57319E-03 0.328240 2 7 80.0 90.0 90.0 8.29569E-02 6.37820E-03 2.76855E-02 3.40637E-02 8.58172E-03 0.333733 1 1 87.5 0.0 180.0 1.75568E-01 4.11623E-03 7.63846E-02 8.05008E-02 5.53830E-03 0.435070 1 4 87.5 45.0 135.0 1.47617E-01 4.07260E-03 6.79139E-02 7.19865E-02 5.47959E-03 0.460068 1 7 87.5 90.0 90.0 1.21794E-01 4.64256E-03 5.94877E-02 6.41303E-02 6.24645E-03 0.488427 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 7.977E-03 2.854E-02 1.280E-01 9.296E-02 4.081E-01 1.073E-02 1.036E+01 7.352E-03 9.892E-03 1 0.00 0.00 1.359E-02 5.146E-02 2.332E-02 3.162E-02 6.800E-02 1.887E-02 4.391E+00 3 2.87 1.00 1.159E-02 8.198E-02 1.868E-02 2.764E-02 7.556E-02 2.240E-02 4.303E+00 5 5.74 2.00 1.049E-02 8.970E-02 1.556E-02 2.316E-02 5.609E-02 2.900E-02 3.866E+00 7 8.61 3.00 1.045E-02 8.284E-02 1.258E-02 1.804E-02 3.679E-02 4.157E-02 3.389E+00 9 11.48 4.00 1.136E-02 6.957E-02 1.051E-02 1.406E-02 2.399E-02 6.477E-02 3.102E+00 12 14.35 5.00 1.304E-02 5.521E-02 1.186E-02 1.288E-02 1.545E-02 1.053E-01 3.142E+00 Waveband 19 of 30 completed in 1.6 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 RADTRANX clear-sky spectral irradiances averaged over the band from 590.0 nm to 600.0 nm: Ed(diffuse) = 2.402E-01 Ed(direct) = 4.725E-01 Ed(total) = 7.127E-01 Absorption Coefficients of Individual Components at 595.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.1672 0.0678 0.0455 0.0124 0.2349 3 2.890 1.000 0.1672 0.0678 0.0455 0.0124 0.2349 5 5.780 2.000 0.1672 0.0678 0.0455 0.0124 0.2349 7 8.669 3.000 0.1672 0.0678 0.0455 0.0124 0.2349 9 11.559 4.000 0.1672 0.0678 0.0455 0.0124 0.2349 12 14.449 5.000 0.1672 0.0678 0.0455 0.0124 0.2349 Scattering Coefficients of Individual Components at 595.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0014 2.6535 0.0000 0.0000 2.6549 3 2.890 1.000 0.0014 2.6535 0.0000 0.0000 2.6549 5 5.780 2.000 0.0014 2.6535 0.0000 0.0000 2.6549 7 8.669 3.000 0.0014 2.6535 0.0000 0.0000 2.6549 9 11.559 4.000 0.0014 2.6535 0.0000 0.0000 2.6549 12 14.449 5.000 0.0014 2.6535 0.0000 0.0000 2.6549 Backscattering Coefficients of Individual Components at 595.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00068 0.02653 0.00000 0.00000 0.02722 3 2.890 1.000 0.00068 0.02653 0.00000 0.00000 0.02722 5 5.780 2.000 0.00068 0.02653 0.00000 0.00000 0.02722 7 8.669 3.000 0.00068 0.02653 0.00000 0.00000 0.02722 9 11.559 4.000 0.00068 0.02653 0.00000 0.00000 0.02722 12 14.449 5.000 0.00068 0.02653 0.00000 0.00000 0.02722 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 0.2349 2.6549 2.8898 0.9187 0.02722 0.01025 3 2.890 1.000 0.2349 2.6549 2.8898 0.9187 0.02722 0.01025 5 5.780 2.000 0.2349 2.6549 2.8898 0.9187 0.02722 0.01025 7 8.669 3.000 0.2349 2.6549 2.8898 0.9187 0.02722 0.01025 9 11.559 4.000 0.2349 2.6549 2.8898 0.9187 0.02722 0.01025 12 14.449 5.000 0.2349 2.6549 2.8898 0.9187 0.02722 0.01025 The bottom reflectance at wavelength 595.0 nm is R = 0.342 Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 595.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.4816E-01 1.5719E+00 1.8201E+00 7.2685E-02 7.1268E-01 0.2929 0.4534 0.3516 1.0199E-01 1 0.00 0.00 1.0564E-01 9.4380E-01 1.0494E+00 4.3071E-02 6.8305E-01 0.4077 0.7237 0.6098 6.3056E-02 3 2.89 1.00 8.6426E-02 6.9168E-01 7.7811E-01 3.3833E-02 4.5867E-01 0.3915 0.6631 0.5460 7.3765E-02 5 5.78 2.00 6.3905E-02 4.6204E-01 5.2594E-01 2.5891E-02 2.9911E-01 0.4052 0.6474 0.5195 8.6560E-02 7 8.67 3.00 4.9686E-02 2.9972E-01 3.4940E-01 2.2004E-02 1.9403E-01 0.4429 0.6474 0.4923 1.1340E-01 9 11.56 4.00 4.5744E-02 1.9453E-01 2.4028E-01 2.2547E-02 1.2654E-01 0.4929 0.6505 0.4328 1.7818E-01 12 14.45 5.00 5.7257E-02 1.2949E-01 1.8675E-01 2.8628E-02 8.3704E-02 0.5000 0.6464 0.2949 3.4202E-01 K-functions (units of 1/meter) at 595.0 nm (these are accurate local values only when zupper and zlower are closely spaced) zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z) 0.000 0.010 0.005 0.17888 0.29368 0.28212 0.19314 0.37259 0.38468 0.22774 1.000 1.010 1.005 0.28178 0.37192 0.36190 0.28029 0.41868 0.42970 0.18951 2.000 2.010 2.005 0.29785 0.42523 0.40975 0.23277 0.43269 0.45166 0.06520 3.000 3.010 3.005 0.18470 0.43593 0.40017 0.07691 0.43129 0.47671 -0.07310 4.000 4.010 4.005 -0.03887 0.42537 0.33682 -0.13078 0.42238 0.54271 -0.16824 4.990 5.000 4.995 -0.70362 0.35678 0.03285 -0.36960 0.39670 0.79272 -0.20409 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 595.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 2.67393E-02 5.07451E-03 5.85443E-04 5.65995E-03 7.12037E-03 0.021894 9 1 10.0 0.0 180.0 2.30655E-02 5.02516E-03 4.95225E-04 5.52038E-03 7.05112E-03 0.021470 9 4 10.0 45.0 135.0 2.38989E-02 5.03590E-03 5.17725E-04 5.55362E-03 7.06619E-03 0.021663 9 7 10.0 90.0 90.0 2.67507E-02 5.11118E-03 5.82238E-04 5.69341E-03 7.17181E-03 0.021765 8 1 20.0 0.0 180.0 2.21495E-02 5.02003E-03 4.81415E-04 5.50145E-03 7.04393E-03 0.021735 8 4 20.0 45.0 135.0 2.30451E-02 5.02396E-03 4.99728E-04 5.52369E-03 7.04944E-03 0.021685 8 7 20.0 90.0 90.0 2.71450E-02 5.17473E-03 5.93330E-04 5.76806E-03 7.26099E-03 0.021858 7 1 30.0 0.0 180.0 2.28927E-02 5.07027E-03 5.21780E-04 5.59205E-03 7.11441E-03 0.022792 7 4 30.0 45.0 135.0 2.34716E-02 5.11914E-03 5.34635E-04 5.65377E-03 7.18299E-03 0.022778 7 7 30.0 90.0 90.0 2.80476E-02 5.31893E-03 6.38748E-04 5.95767E-03 7.46332E-03 0.022774 6 1 40.0 0.0 180.0 2.56537E-02 5.08701E-03 6.82300E-04 5.76931E-03 7.13791E-03 0.026597 6 4 40.0 45.0 135.0 2.54939E-02 5.14894E-03 6.76761E-04 5.82570E-03 7.22481E-03 0.026546 6 7 40.0 90.0 90.0 2.98323E-02 5.42151E-03 7.86915E-04 6.20842E-03 7.60726E-03 0.026378 5 1 50.0 0.0 180.0 3.12682E-02 5.18216E-03 1.16697E-03 6.34913E-03 7.27142E-03 0.037321 5 4 50.0 45.0 135.0 2.98000E-02 5.22990E-03 1.11002E-03 6.33992E-03 7.33840E-03 0.037249 5 7 50.0 90.0 90.0 3.31313E-02 5.61152E-03 1.22084E-03 6.83236E-03 7.87388E-03 0.036848 4 1 60.0 0.0 180.0 4.15915E-02 5.14969E-03 2.85484E-03 8.00453E-03 7.22585E-03 0.068640 4 4 60.0 45.0 135.0 3.79429E-02 5.19269E-03 2.58279E-03 7.77548E-03 7.28619E-03 0.068070 4 7 60.0 90.0 90.0 3.91142E-02 5.69304E-03 2.61394E-03 8.30698E-03 7.98827E-03 0.066828 3 1 70.0 0.0 180.0 6.12474E-02 4.79955E-03 9.73442E-03 1.45340E-02 6.73455E-03 0.158936 3 4 70.0 45.0 135.0 5.37384E-02 4.90770E-03 8.43792E-03 1.33456E-02 6.88630E-03 0.157018 3 7 70.0 90.0 90.0 5.10196E-02 5.43012E-03 7.86235E-03 1.32925E-02 7.61934E-03 0.154105 2 1 80.0 0.0 180.0 1.04463E-01 3.93678E-03 3.39269E-02 3.78637E-02 5.52395E-03 0.324774 2 4 80.0 45.0 135.0 8.90657E-02 3.97970E-03 2.92350E-02 3.32147E-02 5.58417E-03 0.328241 2 7 80.0 90.0 90.0 7.77361E-02 4.51946E-03 2.59431E-02 3.04625E-02 6.34154E-03 0.333733 1 1 87.5 0.0 180.0 1.64519E-01 2.92666E-03 7.15774E-02 7.45040E-02 4.10658E-03 0.435070 1 4 87.5 45.0 135.0 1.38327E-01 2.88642E-03 6.36398E-02 6.65262E-02 4.05012E-03 0.460068 1 7 87.5 90.0 90.0 1.14129E-01 3.29885E-03 5.57439E-02 5.90428E-02 4.62883E-03 0.488427 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 5.660E-03 2.674E-02 1.195E-01 8.659E-02 3.835E-01 7.942E-03 1.284E+01 5.075E-03 7.120E-03 1 0.00 0.00 9.381E-03 4.815E-02 1.726E-02 2.371E-02 5.426E-02 1.373E-02 4.591E+00 3 2.89 1.00 7.544E-03 7.296E-02 1.340E-02 2.029E-02 5.881E-02 1.645E-02 4.485E+00 5 5.78 2.00 6.609E-03 7.560E-02 1.042E-02 1.587E-02 4.033E-02 2.209E-02 3.918E+00 7 8.67 3.00 6.642E-03 6.603E-02 7.871E-03 1.152E-02 2.444E-02 3.423E-02 3.313E+00 9 11.56 4.00 7.527E-03 5.239E-02 6.251E-03 8.478E-03 1.485E-02 5.948E-02 2.996E+00 12 14.45 5.00 9.113E-03 3.924E-02 7.858E-03 8.473E-03 1.004E-02 1.089E-01 3.142E+00 Waveband 20 of 30 completed in 1.6 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 RADTRANX clear-sky spectral irradiances averaged over the band from 600.0 nm to 610.0 nm: Ed(diffuse) = 2.445E-01 Ed(direct) = 4.969E-01 Ed(total) = 7.413E-01 Absorption Coefficients of Individual Components at 605.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2577 0.0588 0.0375 0.0120 0.3165 3 2.938 1.000 0.2577 0.0588 0.0375 0.0120 0.3165 5 5.876 2.000 0.2577 0.0588 0.0375 0.0120 0.3165 7 8.815 3.000 0.2577 0.0588 0.0375 0.0120 0.3165 9 11.753 4.000 0.2577 0.0588 0.0375 0.0120 0.3165 12 14.691 5.000 0.2577 0.0588 0.0375 0.0120 0.3165 Scattering Coefficients of Individual Components at 605.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0013 2.6205 0.0000 0.0000 2.6218 3 2.938 1.000 0.0013 2.6205 0.0000 0.0000 2.6218 5 5.876 2.000 0.0013 2.6205 0.0000 0.0000 2.6218 7 8.815 3.000 0.0013 2.6205 0.0000 0.0000 2.6218 9 11.753 4.000 0.0013 2.6205 0.0000 0.0000 2.6218 12 14.691 5.000 0.0013 2.6205 0.0000 0.0000 2.6218 Backscattering Coefficients of Individual Components at 605.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00063 0.02620 0.00000 0.00000 0.02684 3 2.938 1.000 0.00063 0.02620 0.00000 0.00000 0.02684 5 5.876 2.000 0.00063 0.02620 0.00000 0.00000 0.02684 7 8.815 3.000 0.00063 0.02620 0.00000 0.00000 0.02684 9 11.753 4.000 0.00063 0.02620 0.00000 0.00000 0.02684 12 14.691 5.000 0.00063 0.02620 0.00000 0.00000 0.02684 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 0.3165 2.6218 2.9382 0.8923 0.02684 0.01024 3 2.938 1.000 0.3165 2.6218 2.9382 0.8923 0.02684 0.01024 5 5.876 2.000 0.3165 2.6218 2.9382 0.8923 0.02684 0.01024 7 8.815 3.000 0.3165 2.6218 2.9382 0.8923 0.02684 0.01024 9 11.753 4.000 0.3165 2.6218 2.9382 0.8923 0.02684 0.01024 12 14.691 5.000 0.3165 2.6218 2.9382 0.8923 0.02684 0.01024 The bottom reflectance at wavelength 605.0 nm is R = 0.346 Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 605.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.4460E-01 1.6319E+00 1.8765E+00 6.9347E-02 7.4132E-01 0.2835 0.4543 0.3581 9.3546E-02 1 0.00 0.00 7.8504E-02 9.5655E-01 1.0350E+00 3.0971E-02 7.0293E-01 0.3945 0.7349 0.6492 4.4061E-02 3 2.94 1.00 5.7704E-02 6.2526E-01 6.8296E-01 2.1608E-02 4.2226E-01 0.3745 0.6753 0.5866 5.1173E-02 5 5.88 2.00 3.7478E-02 3.7057E-01 4.0804E-01 1.4557E-02 2.4585E-01 0.3884 0.6634 0.5668 5.9210E-02 7 8.81 3.00 2.6208E-02 2.1404E-01 2.4025E-01 1.1403E-02 1.4269E-01 0.4351 0.6666 0.5465 7.9916E-02 9 11.75 4.00 2.3664E-02 1.2415E-01 1.4782E-01 1.1924E-02 8.3464E-02 0.5039 0.6723 0.4840 1.4286E-01 12 14.69 5.00 3.4374E-02 7.4398E-02 1.0877E-01 1.7187E-02 4.9672E-02 0.5000 0.6677 0.2987 3.4601E-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 0.22849 0.37207 0.36117 0.28233 0.47811 0.48715 0.35322 1.000 1.010 1.005 0.40967 0.49245 0.48545 0.41179 0.53240 0.53891 0.31544 2.000 2.010 2.005 0.42360 0.54325 0.53226 0.34756 0.54519 0.55764 0.12896 3.000 3.010 3.005 0.25938 0.55004 0.51829 0.11342 0.54125 0.57850 -0.09657 4.000 4.010 4.005 -0.08653 0.53602 0.43609 -0.20819 0.53009 0.65367 -0.24398 4.990 5.000 4.995 -1.21835 0.43082 -0.08742 -0.56462 0.49570 1.05218 -0.28887 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 605.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 2.72111E-02 3.41439E-03 5.95771E-04 4.01016E-03 4.60584E-03 0.021894 9 1 10.0 0.0 180.0 2.34724E-02 3.39490E-03 5.03962E-04 3.89886E-03 4.57955E-03 0.021470 9 4 10.0 45.0 135.0 2.43205E-02 3.39882E-03 5.26858E-04 3.92567E-03 4.58483E-03 0.021663 9 7 10.0 90.0 90.0 2.72226E-02 3.44429E-03 5.92510E-04 4.03680E-03 4.64617E-03 0.021765 8 1 20.0 0.0 180.0 2.25403E-02 3.40759E-03 4.89907E-04 3.89749E-03 4.59666E-03 0.021735 8 4 20.0 45.0 135.0 2.34517E-02 3.40376E-03 5.08544E-04 3.91230E-03 4.59150E-03 0.021685 8 7 20.0 90.0 90.0 2.76239E-02 3.49701E-03 6.03797E-04 4.10081E-03 4.71729E-03 0.021858 7 1 30.0 0.0 180.0 2.32965E-02 3.45968E-03 5.30985E-04 3.99066E-03 4.66693E-03 0.022792 7 4 30.0 45.0 135.0 2.38856E-02 3.48316E-03 5.44066E-04 4.02723E-03 4.69861E-03 0.022778 7 7 30.0 90.0 90.0 2.85424E-02 3.60685E-03 6.50017E-04 4.25687E-03 4.86546E-03 0.022774 6 1 40.0 0.0 180.0 2.61063E-02 3.50390E-03 6.94337E-04 4.19823E-03 4.72658E-03 0.026597 6 4 40.0 45.0 135.0 2.59436E-02 3.53177E-03 6.88700E-04 4.22047E-03 4.76418E-03 0.026546 6 7 40.0 90.0 90.0 3.03586E-02 3.70328E-03 8.00796E-04 4.50408E-03 4.99554E-03 0.026378 5 1 50.0 0.0 180.0 3.18198E-02 3.59397E-03 1.18755E-03 4.78152E-03 4.84808E-03 0.037321 5 4 50.0 45.0 135.0 3.03257E-02 3.60940E-03 1.12960E-03 4.73901E-03 4.86890E-03 0.037249 5 7 50.0 90.0 90.0 3.37158E-02 3.85752E-03 1.24237E-03 5.09989E-03 5.20360E-03 0.036848 4 1 60.0 0.0 180.0 4.23252E-02 3.59802E-03 2.90521E-03 6.50323E-03 4.85355E-03 0.068640 4 4 60.0 45.0 135.0 3.86127E-02 3.60780E-03 2.62836E-03 6.23615E-03 4.86673E-03 0.068070 4 7 60.0 90.0 90.0 3.98017E-02 3.94037E-03 2.66002E-03 6.60039E-03 5.31536E-03 0.066832 3 1 70.0 0.0 180.0 6.23279E-02 3.37551E-03 9.90613E-03 1.32816E-02 4.55340E-03 0.158936 3 4 70.0 45.0 135.0 5.46864E-02 3.43141E-03 8.58677E-03 1.20182E-02 4.62880E-03 0.157018 3 7 70.0 90.0 90.0 5.19196E-02 3.78646E-03 8.00101E-03 1.17875E-02 5.10774E-03 0.154104 2 1 80.0 0.0 180.0 1.06306E-01 2.78669E-03 3.45254E-02 3.73121E-02 3.75911E-03 0.324774 2 4 80.0 45.0 135.0 9.06370E-02 2.79994E-03 2.97507E-02 3.25507E-02 3.77698E-03 0.328241 2 7 80.0 90.0 90.0 7.91074E-02 3.17376E-03 2.64007E-02 2.95745E-02 4.28125E-03 0.333732 1 1 87.5 0.0 180.0 1.67421E-01 2.07897E-03 7.28401E-02 7.49191E-02 2.80443E-03 0.435070 1 4 87.5 45.0 135.0 1.40767E-01 2.03781E-03 6.47625E-02 6.68003E-02 2.74890E-03 0.460068 1 7 87.5 90.0 90.0 1.16143E-01 2.32551E-03 5.67273E-02 5.90528E-02 3.13699E-03 0.488427 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 4.010E-03 2.721E-02 1.212E-01 8.760E-02 3.914E-01 5.410E-03 1.729E+01 3.414E-03 4.606E-03 1 0.00 0.00 6.311E-03 4.893E-02 1.295E-02 1.801E-02 4.434E-02 8.979E-03 4.907E+00 3 2.94 1.00 4.451E-03 6.799E-02 9.378E-03 1.454E-02 4.494E-02 1.054E-02 4.855E+00 5 5.88 2.00 3.529E-03 6.427E-02 6.462E-03 1.007E-02 2.697E-02 1.435E-02 4.125E+00 7 8.81 3.00 3.478E-03 5.113E-02 4.324E-03 6.474E-03 1.435E-02 2.438E-02 3.279E+00 9 11.75 4.00 4.157E-03 3.691E-02 3.097E-03 4.273E-03 7.727E-03 4.981E-02 2.868E+00 12 14.69 5.00 5.471E-03 2.513E-02 4.426E-03 4.726E-03 5.504E-03 1.101E-01 3.142E+00 Waveband 21 of 30 completed in 1.7 sec. * * * * * Output for wavelength band 22 (610.0 to 620.0 nm; nominal wavelength = 615.0 nm) * * * * * Index of refraction at this wavelength is 1.340 RADTRANX clear-sky spectral irradiances averaged over the band from 610.0 nm to 620.0 nm: Ed(diffuse) = 2.351E-01 Ed(direct) = 4.933E-01 Ed(total) = 7.284E-01 Absorption Coefficients of Individual Components at 615.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2678 0.0544 0.0334 0.0134 0.3222 3 2.914 1.000 0.2678 0.0544 0.0334 0.0134 0.3222 5 5.828 2.000 0.2678 0.0544 0.0334 0.0134 0.3222 7 8.743 3.000 0.2678 0.0544 0.0334 0.0134 0.3222 9 11.657 4.000 0.2678 0.0544 0.0334 0.0134 0.3222 12 14.571 5.000 0.2678 0.0544 0.0334 0.0134 0.3222 Scattering Coefficients of Individual Components at 615.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0012 2.5908 0.0000 0.0000 2.5920 3 2.914 1.000 0.0012 2.5908 0.0000 0.0000 2.5920 5 5.828 2.000 0.0012 2.5908 0.0000 0.0000 2.5920 7 8.743 3.000 0.0012 2.5908 0.0000 0.0000 2.5920 9 11.657 4.000 0.0012 2.5908 0.0000 0.0000 2.5920 12 14.571 5.000 0.0012 2.5908 0.0000 0.0000 2.5920 Backscattering Coefficients of Individual Components at 615.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00059 0.02591 0.00000 0.00000 0.02650 3 2.914 1.000 0.00059 0.02591 0.00000 0.00000 0.02650 5 5.828 2.000 0.00059 0.02591 0.00000 0.00000 0.02650 7 8.743 3.000 0.00059 0.02591 0.00000 0.00000 0.02650 9 11.657 4.000 0.00059 0.02591 0.00000 0.00000 0.02650 12 14.571 5.000 0.00059 0.02591 0.00000 0.00000 0.02650 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 0.3222 2.5920 2.9142 0.8894 0.02650 0.01022 3 2.914 1.000 0.3222 2.5920 2.9142 0.8894 0.02650 0.01022 5 5.828 2.000 0.3222 2.5920 2.9142 0.8894 0.02650 0.01022 7 8.743 3.000 0.3222 2.5920 2.9142 0.8894 0.02650 0.01022 9 11.657 4.000 0.3222 2.5920 2.9142 0.8894 0.02650 0.01022 12 14.571 5.000 0.3222 2.5920 2.9142 0.8894 0.02650 0.01022 The bottom reflectance at wavelength 615.0 nm is R = 0.340 Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 615.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.3764E-01 1.6005E+00 1.8381E+00 6.7547E-02 7.2841E-01 0.2842 0.4551 0.3595 9.2732E-02 1 0.00 0.00 7.4719E-02 9.3828E-01 1.0130E+00 2.9393E-02 6.9025E-01 0.3934 0.7357 0.6524 4.2583E-02 3 2.91 1.00 5.4528E-02 6.0864E-01 6.6317E-01 2.0349E-02 4.1180E-01 0.3732 0.6766 0.5903 4.9414E-02 5 5.83 2.00 3.5132E-02 3.5819E-01 3.9332E-01 1.3594E-02 2.3814E-01 0.3869 0.6648 0.5709 5.7085E-02 7 8.74 3.00 2.4376E-02 2.0548E-01 2.2985E-01 1.0577E-02 1.3729E-01 0.4339 0.6682 0.5513 7.7043E-02 9 11.66 4.00 2.1930E-02 1.1835E-01 1.4028E-01 1.1052E-02 7.9772E-02 0.5040 0.6740 0.4899 1.3854E-01 12 14.57 5.00 3.2070E-02 7.0407E-02 1.0248E-01 1.6035E-02 4.7155E-02 0.5000 0.6698 0.3037 3.4005E-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 0.22995 0.37760 0.36670 0.28850 0.48494 0.49369 0.36153 1.000 1.010 1.005 0.41740 0.49974 0.49296 0.41999 0.53922 0.54542 0.32420 2.000 2.010 2.005 0.43187 0.55016 0.53958 0.35578 0.55193 0.56381 0.13477 3.000 3.010 3.005 0.26611 0.55695 0.52606 0.11784 0.54793 0.58392 -0.09654 4.000 4.010 4.005 -0.08697 0.54311 0.44435 -0.21133 0.53677 0.65761 -0.24803 4.990 5.000 4.995 -1.24090 0.43855 -0.08401 -0.57516 0.50274 1.05364 -0.29428 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 615.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 2.61678E-02 3.22460E-03 5.72929E-04 3.79753E-03 4.42689E-03 0.021894 9 1 10.0 0.0 180.0 2.25725E-02 3.20709E-03 4.84640E-04 3.69173E-03 4.40285E-03 0.021470 9 4 10.0 45.0 135.0 2.33880E-02 3.21049E-03 5.06659E-04 3.71715E-03 4.40751E-03 0.021663 9 7 10.0 90.0 90.0 2.61789E-02 3.25301E-03 5.69793E-04 3.82281E-03 4.46589E-03 0.021765 8 1 20.0 0.0 180.0 2.16761E-02 3.21999E-03 4.71124E-04 3.69111E-03 4.42056E-03 0.021735 8 4 20.0 45.0 135.0 2.25525E-02 3.21578E-03 4.89047E-04 3.70482E-03 4.41477E-03 0.021685 8 7 20.0 90.0 90.0 2.65648E-02 3.30317E-03 5.80647E-04 3.88382E-03 4.53476E-03 0.021858 7 1 30.0 0.0 180.0 2.24034E-02 3.27018E-03 5.10627E-04 3.78081E-03 4.48946E-03 0.022792 7 4 30.0 45.0 135.0 2.29699E-02 3.29146E-03 5.23207E-04 3.81467E-03 4.51868E-03 0.022778 7 7 30.0 90.0 90.0 2.74481E-02 3.40740E-03 6.25095E-04 4.03249E-03 4.67784E-03 0.022774 6 1 40.0 0.0 180.0 2.51054E-02 3.31352E-03 6.67715E-04 3.98123E-03 4.54896E-03 0.026597 6 4 40.0 45.0 135.0 2.49490E-02 3.33850E-03 6.62295E-04 4.00079E-03 4.58325E-03 0.026546 6 7 40.0 90.0 90.0 2.91946E-02 3.49956E-03 7.70093E-04 4.26966E-03 4.80437E-03 0.026378 5 1 50.0 0.0 180.0 3.05998E-02 3.39966E-03 1.14202E-03 4.54169E-03 4.66722E-03 0.037321 5 4 50.0 45.0 135.0 2.91630E-02 3.41263E-03 1.08629E-03 4.49893E-03 4.68503E-03 0.037249 5 7 50.0 90.0 90.0 3.24232E-02 3.64640E-03 1.19472E-03 4.84113E-03 5.00596E-03 0.036848 4 1 60.0 0.0 180.0 4.07025E-02 3.40451E-03 2.79383E-03 6.19834E-03 4.67388E-03 0.068640 4 4 60.0 45.0 135.0 3.71327E-02 3.41191E-03 2.52759E-03 5.93950E-03 4.68403E-03 0.068069 4 7 60.0 90.0 90.0 3.82732E-02 3.72593E-03 2.55800E-03 6.28393E-03 5.11513E-03 0.066835 3 1 70.0 0.0 180.0 5.99383E-02 3.19469E-03 9.52633E-03 1.27210E-02 4.38583E-03 0.158936 3 4 70.0 45.0 135.0 5.25898E-02 3.24580E-03 8.25756E-03 1.15034E-02 4.45599E-03 0.157018 3 7 70.0 90.0 90.0 4.99290E-02 3.58187E-03 7.69420E-03 1.12761E-02 4.91736E-03 0.154103 2 1 80.0 0.0 180.0 1.02230E-01 2.63799E-03 3.32017E-02 3.58397E-02 3.62157E-03 0.324774 2 4 80.0 45.0 135.0 8.71620E-02 2.64904E-03 2.86101E-02 3.12591E-02 3.63673E-03 0.328241 2 7 80.0 90.0 90.0 7.60745E-02 3.00346E-03 2.53885E-02 2.83919E-02 4.12329E-03 0.333732 1 1 87.5 0.0 180.0 1.61002E-01 1.96828E-03 7.00474E-02 7.20157E-02 2.70214E-03 0.435070 1 4 87.5 45.0 135.0 1.35370E-01 1.92823E-03 6.22795E-02 6.42078E-02 2.64716E-03 0.460068 1 7 87.5 90.0 90.0 1.11690E-01 2.20124E-03 5.45524E-02 5.67536E-02 3.02196E-03 0.488427 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 615.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 3.798E-03 2.617E-02 1.165E-01 8.422E-02 3.781E-01 5.213E-03 1.779E+01 3.225E-03 4.427E-03 1 0.00 0.00 5.960E-03 4.705E-02 1.230E-02 1.715E-02 4.265E-02 8.635E-03 4.931E+00 3 2.91 1.00 4.167E-03 6.540E-02 8.847E-03 1.378E-02 4.305E-02 1.012E-02 4.883E+00 5 5.83 2.00 3.279E-03 6.166E-02 6.050E-03 9.480E-03 2.568E-02 1.377E-02 4.146E+00 7 8.74 3.00 3.222E-03 4.891E-02 4.018E-03 6.049E-03 1.357E-02 2.347E-02 3.283E+00 9 11.66 4.00 3.860E-03 3.519E-02 2.857E-03 3.963E-03 7.251E-03 4.838E-02 2.863E+00 12 14.57 5.00 5.104E-03 2.387E-02 4.111E-03 4.393E-03 5.133E-03 1.082E-01 3.142E+00 Waveband 22 of 30 completed in 1.6 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 RADTRANX clear-sky spectral irradiances averaged over the band from 620.0 nm to 630.0 nm: Ed(diffuse) = 2.282E-01 Ed(direct) = 4.940E-01 Ed(total) = 7.222E-01 Absorption Coefficients of Individual Components at 625.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.2834 0.0510 0.0300 0.0149 0.3344 3 2.895 1.000 0.2834 0.0510 0.0300 0.0149 0.3344 5 5.789 2.000 0.2834 0.0510 0.0300 0.0149 0.3344 7 8.684 3.000 0.2834 0.0510 0.0300 0.0149 0.3344 9 11.578 4.000 0.2834 0.0510 0.0300 0.0149 0.3344 12 14.473 5.000 0.2834 0.0510 0.0300 0.0149 0.3344 Scattering Coefficients of Individual Components at 625.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0011 2.5590 0.0000 0.0000 2.5601 3 2.895 1.000 0.0011 2.5590 0.0000 0.0000 2.5601 5 5.789 2.000 0.0011 2.5590 0.0000 0.0000 2.5601 7 8.684 3.000 0.0011 2.5590 0.0000 0.0000 2.5601 9 11.578 4.000 0.0011 2.5590 0.0000 0.0000 2.5601 12 14.473 5.000 0.0011 2.5590 0.0000 0.0000 2.5601 Backscattering Coefficients of Individual Components at 625.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00055 0.02559 0.00000 0.00000 0.02614 3 2.895 1.000 0.00055 0.02559 0.00000 0.00000 0.02614 5 5.789 2.000 0.00055 0.02559 0.00000 0.00000 0.02614 7 8.684 3.000 0.00055 0.02559 0.00000 0.00000 0.02614 9 11.578 4.000 0.00055 0.02559 0.00000 0.00000 0.02614 12 14.473 5.000 0.00055 0.02559 0.00000 0.00000 0.02614 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 0.3344 2.5601 2.8945 0.8845 0.02614 0.01021 3 2.895 1.000 0.3344 2.5601 2.8945 0.8845 0.02614 0.01021 5 5.789 2.000 0.3344 2.5601 2.8945 0.8845 0.02614 0.01021 7 8.684 3.000 0.3344 2.5601 2.8945 0.8845 0.02614 0.01021 9 11.578 4.000 0.3344 2.5601 2.8945 0.8845 0.02614 0.01021 12 14.473 5.000 0.3344 2.5601 2.8945 0.8845 0.02614 0.01021 The bottom reflectance at wavelength 625.0 nm is R = 0.335 Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 625.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.3254E-01 1.5841E+00 1.8166E+00 6.6133E-02 7.2222E-01 0.2844 0.4559 0.3612 9.1569E-02 1 0.00 0.00 7.0231E-02 9.2748E-01 9.9772E-01 2.7496E-02 6.8358E-01 0.3915 0.7370 0.6576 4.0223E-02 3 2.89 1.00 5.0436E-02 5.9167E-01 6.4211E-01 1.8706E-02 4.0150E-01 0.3709 0.6786 0.5962 4.6591E-02 5 5.79 2.00 3.1902E-02 3.4257E-01 3.7448E-01 1.2263E-02 2.2860E-01 0.3844 0.6673 0.5777 5.3641E-02 7 8.68 3.00 2.1763E-02 1.9344E-01 2.1520E-01 9.4042E-03 1.2980E-01 0.4321 0.6710 0.5594 7.2454E-02 9 11.58 4.00 1.9465E-02 1.0970E-01 1.2917E-01 9.8270E-03 7.4292E-02 0.5049 0.6772 0.4991 1.3228E-01 12 14.47 5.00 2.8987E-02 6.4261E-02 9.3249E-02 1.4494E-02 4.3266E-02 0.5000 0.6733 0.3086 3.3499E-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 0.23825 0.39027 0.37956 0.30239 0.50012 0.50842 0.38018 1.000 1.010 1.005 0.43539 0.51640 0.51003 0.43885 0.55489 0.56056 0.34428 2.000 2.010 2.005 0.45040 0.56613 0.55627 0.37398 0.56735 0.57832 0.14752 3.000 3.010 3.005 0.27962 0.57255 0.54289 0.12634 0.56306 0.59725 -0.09747 4.000 4.010 4.005 -0.09094 0.55864 0.46048 -0.22034 0.55171 0.66993 -0.25798 4.990 5.000 4.995 -1.30227 0.45304 -0.08933 -0.60092 0.51746 1.07612 -0.30642 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 625.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 2.54064E-02 2.99076E-03 5.56258E-04 3.54702E-03 4.14104E-03 0.021894 9 1 10.0 0.0 180.0 2.19157E-02 2.97652E-03 4.70538E-04 3.44706E-03 4.12132E-03 0.021470 9 4 10.0 45.0 135.0 2.27075E-02 2.97909E-03 4.91916E-04 3.47100E-03 4.12488E-03 0.021663 9 7 10.0 90.0 90.0 2.54171E-02 3.01754E-03 5.53213E-04 3.57075E-03 4.17812E-03 0.021765 8 1 20.0 0.0 180.0 2.10454E-02 2.99045E-03 4.57416E-04 3.44786E-03 4.14061E-03 0.021735 8 4 20.0 45.0 135.0 2.18963E-02 2.98543E-03 4.74817E-04 3.46024E-03 4.13366E-03 0.021685 8 7 20.0 90.0 90.0 2.57918E-02 3.06491E-03 5.63752E-04 3.62866E-03 4.24370E-03 0.021858 7 1 30.0 0.0 180.0 2.17515E-02 3.03911E-03 4.95769E-04 3.53488E-03 4.20799E-03 0.022792 7 4 30.0 45.0 135.0 2.23015E-02 3.05724E-03 5.07983E-04 3.56522E-03 4.23309E-03 0.022778 7 7 30.0 90.0 90.0 2.66494E-02 3.16266E-03 6.06906E-04 3.76957E-03 4.37905E-03 0.022774 6 1 40.0 0.0 180.0 2.43749E-02 3.08279E-03 6.48286E-04 3.73108E-03 4.26847E-03 0.026597 6 4 40.0 45.0 135.0 2.42230E-02 3.10359E-03 6.43024E-04 3.74661E-03 4.29726E-03 0.026546 6 7 40.0 90.0 90.0 2.83452E-02 3.25049E-03 7.47684E-04 3.99818E-03 4.50067E-03 0.026378 5 1 50.0 0.0 180.0 2.97094E-02 3.16519E-03 1.10879E-03 4.27399E-03 4.38256E-03 0.037321 5 4 50.0 45.0 135.0 2.83144E-02 3.17438E-03 1.05469E-03 4.22906E-03 4.39528E-03 0.037249 5 7 50.0 90.0 90.0 3.14797E-02 3.38902E-03 1.15995E-03 4.54898E-03 4.69248E-03 0.036848 4 1 60.0 0.0 180.0 3.95181E-02 3.17209E-03 2.71254E-03 5.88463E-03 4.39211E-03 0.068640 4 4 60.0 45.0 135.0 3.60526E-02 3.17570E-03 2.45405E-03 5.62975E-03 4.39711E-03 0.068069 4 7 60.0 90.0 90.0 3.71571E-02 3.46529E-03 2.48354E-03 5.94883E-03 4.79808E-03 0.066839 3 1 70.0 0.0 180.0 5.81942E-02 2.97838E-03 9.24913E-03 1.22275E-02 4.12390E-03 0.158935 3 4 70.0 45.0 135.0 5.10595E-02 3.02279E-03 8.01729E-03 1.10401E-02 4.18538E-03 0.157018 3 7 70.0 90.0 90.0 4.84762E-02 3.33396E-03 7.47028E-03 1.08042E-02 4.61624E-03 0.154102 2 1 80.0 0.0 180.0 9.92556E-02 2.46081E-03 3.22356E-02 3.46965E-02 3.40727E-03 0.324774 2 4 80.0 45.0 135.0 8.46258E-02 2.46838E-03 2.77776E-02 3.02460E-02 3.41775E-03 0.328241 2 7 80.0 90.0 90.0 7.38609E-02 2.79769E-03 2.46497E-02 2.74474E-02 3.87371E-03 0.333732 1 1 87.5 0.0 180.0 1.56318E-01 1.83665E-03 6.80092E-02 6.98458E-02 2.54305E-03 0.435070 1 4 87.5 45.0 135.0 1.31431E-01 1.79730E-03 6.04673E-02 6.22646E-02 2.48856E-03 0.460068 1 7 87.5 90.0 90.0 1.08440E-01 2.05132E-03 5.29650E-02 5.50163E-02 2.84028E-03 0.488427 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 625.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 3.547E-03 2.541E-02 1.131E-01 8.173E-02 3.687E-01 4.911E-03 1.864E+01 2.991E-03 4.141E-03 1 0.00 0.00 5.528E-03 4.568E-02 1.155E-02 1.615E-02 4.072E-02 8.087E-03 4.974E+00 3 2.89 1.00 3.788E-03 6.301E-02 8.199E-03 1.284E-02 4.067E-02 9.435E-03 4.938E+00 5 5.79 2.00 2.930E-03 5.881E-02 5.511E-03 8.686E-03 2.386E-02 1.282E-02 4.185E+00 7 8.68 3.00 2.861E-03 4.616E-02 3.598E-03 5.450E-03 1.241E-02 2.205E-02 3.286E+00 9 11.58 4.00 3.449E-03 3.285E-02 2.517E-03 3.513E-03 6.514E-03 4.642E-02 2.849E+00 12 14.47 5.00 4.614E-03 2.203E-02 3.685E-03 3.937E-03 4.606E-03 1.066E-01 3.142E+00 Waveband 23 of 30 completed in 1.6 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 RADTRANX clear-sky spectral irradiances averaged over the band from 630.0 nm to 640.0 nm: Ed(diffuse) = 2.221E-01 Ed(direct) = 4.955E-01 Ed(total) = 7.177E-01 Absorption Coefficients of Individual Components at 635.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3012 0.0485 0.0278 0.0167 0.3497 3 2.877 1.000 0.3012 0.0485 0.0278 0.0167 0.3497 5 5.753 2.000 0.3012 0.0485 0.0278 0.0167 0.3497 7 8.630 3.000 0.3012 0.0485 0.0278 0.0167 0.3497 9 11.507 4.000 0.3012 0.0485 0.0278 0.0167 0.3497 12 14.384 5.000 0.3012 0.0485 0.0278 0.0167 0.3497 Scattering Coefficients of Individual Components at 635.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0010 2.5260 0.0000 0.0000 2.5270 3 2.877 1.000 0.0010 2.5260 0.0000 0.0000 2.5270 5 5.753 2.000 0.0010 2.5260 0.0000 0.0000 2.5270 7 8.630 3.000 0.0010 2.5260 0.0000 0.0000 2.5270 9 11.507 4.000 0.0010 2.5260 0.0000 0.0000 2.5270 12 14.384 5.000 0.0010 2.5260 0.0000 0.0000 2.5270 Backscattering Coefficients of Individual Components at 635.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00051 0.02526 0.00000 0.00000 0.02577 3 2.877 1.000 0.00051 0.02526 0.00000 0.00000 0.02577 5 5.753 2.000 0.00051 0.02526 0.00000 0.00000 0.02577 7 8.630 3.000 0.00051 0.02526 0.00000 0.00000 0.02577 9 11.507 4.000 0.00051 0.02526 0.00000 0.00000 0.02577 12 14.384 5.000 0.00051 0.02526 0.00000 0.00000 0.02577 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 0.3497 2.5270 2.8767 0.8784 0.02577 0.01020 3 2.877 1.000 0.3497 2.5270 2.8767 0.8784 0.02577 0.01020 5 5.753 2.000 0.3497 2.5270 2.8767 0.8784 0.02577 0.01020 7 8.630 3.000 0.3497 2.5270 2.8767 0.8784 0.02577 0.01020 9 11.507 4.000 0.3497 2.5270 2.8767 0.8784 0.02577 0.01020 12 14.384 5.000 0.3497 2.5270 2.8767 0.8784 0.02577 0.01020 The bottom reflectance at wavelength 635.0 nm is R = 0.330 Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 635.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.2793E-01 1.5713E+00 1.7992E+00 6.4828E-02 7.1765E-01 0.2844 0.4567 0.3628 9.0334E-02 1 0.00 0.00 6.5595E-02 9.1848E-01 9.8407E-01 2.5540E-02 6.7835E-01 0.3894 0.7386 0.6634 3.7651E-02 3 2.88 1.00 4.6147E-02 5.7372E-01 6.1987E-01 1.6994E-02 3.9064E-01 0.3683 0.6809 0.6028 4.3503E-02 5 5.75 2.00 2.8508E-02 3.2540E-01 3.5391E-01 1.0870E-02 2.1808E-01 0.3813 0.6702 0.5855 4.9845E-02 7 8.63 3.00 1.9026E-02 1.8011E-01 1.9914E-01 8.1782E-03 1.2146E-01 0.4298 0.6743 0.5688 6.7334E-02 9 11.51 4.00 1.6878E-02 1.0017E-01 1.1705E-01 8.5396E-03 6.8217E-02 0.5059 0.6810 0.5099 1.2518E-01 12 14.38 5.00 2.5708E-02 5.7554E-02 8.3261E-02 1.2854E-02 3.8992E-02 0.5000 0.6775 0.3139 3.2965E-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 0.24939 0.40670 0.39621 0.32015 0.51931 0.52711 0.40395 1.000 1.010 1.005 0.45832 0.53746 0.53157 0.46296 0.57473 0.57981 0.37060 2.000 2.010 2.005 0.47424 0.58636 0.57732 0.39779 0.58685 0.59677 0.16528 3.000 3.010 3.005 0.29754 0.59227 0.56408 0.13820 0.58213 0.61426 -0.09768 4.000 4.010 4.005 -0.09537 0.57810 0.48070 -0.23115 0.57050 0.68574 -0.27029 4.990 5.000 4.995 -1.38001 0.46983 -0.09768 -0.63333 0.53584 1.10581 -0.32164 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 635.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 2.47237E-02 2.75108E-03 5.41313E-04 3.29239E-03 3.83346E-03 0.021894 9 1 10.0 0.0 180.0 2.13268E-02 2.74040E-03 4.57896E-04 3.19829E-03 3.81858E-03 0.021470 9 4 10.0 45.0 135.0 2.20974E-02 2.74207E-03 4.78699E-04 3.22077E-03 3.82091E-03 0.021663 9 7 10.0 90.0 90.0 2.47342E-02 2.77620E-03 5.38350E-04 3.31455E-03 3.86846E-03 0.021765 8 1 20.0 0.0 180.0 2.04799E-02 2.75550E-03 4.45126E-04 3.20062E-03 3.83962E-03 0.021735 8 4 20.0 45.0 135.0 2.13080E-02 2.74958E-03 4.62059E-04 3.21164E-03 3.83138E-03 0.021685 8 7 20.0 90.0 90.0 2.50989E-02 2.82070E-03 5.48605E-04 3.36930E-03 3.93047E-03 0.021858 7 1 30.0 0.0 180.0 2.11671E-02 2.80271E-03 4.82449E-04 3.28516E-03 3.90541E-03 0.022792 7 4 30.0 45.0 135.0 2.17023E-02 2.81752E-03 4.94334E-04 3.31185E-03 3.92604E-03 0.022778 7 7 30.0 90.0 90.0 2.59334E-02 2.91182E-03 5.90600E-04 3.50242E-03 4.05744E-03 0.022774 6 1 40.0 0.0 180.0 2.37199E-02 2.84688E-03 6.30868E-04 3.47774E-03 3.96695E-03 0.026596 6 4 40.0 45.0 135.0 2.35722E-02 2.86328E-03 6.25747E-04 3.48903E-03 3.98981E-03 0.026546 6 7 40.0 90.0 90.0 2.75836E-02 2.99517E-03 7.27595E-04 3.72276E-03 4.17358E-03 0.026378 5 1 50.0 0.0 180.0 2.89112E-02 2.92552E-03 1.07900E-03 4.00452E-03 4.07653E-03 0.037321 5 4 50.0 45.0 135.0 2.75537E-02 2.93070E-03 1.02635E-03 3.95705E-03 4.08375E-03 0.037249 5 7 50.0 90.0 90.0 3.06339E-02 3.12509E-03 1.12878E-03 4.25386E-03 4.35462E-03 0.036847 4 1 60.0 0.0 180.0 3.84564E-02 2.93457E-03 2.63967E-03 5.57424E-03 4.08915E-03 0.068641 4 4 60.0 45.0 135.0 3.50843E-02 2.93416E-03 2.38812E-03 5.32228E-03 4.08858E-03 0.068068 4 7 60.0 90.0 90.0 3.61564E-02 3.19791E-03 2.41678E-03 5.61468E-03 4.45609E-03 0.066842 3 1 70.0 0.0 180.0 5.66306E-02 2.75735E-03 9.00061E-03 1.17580E-02 3.84220E-03 0.158935 3 4 70.0 45.0 135.0 4.96876E-02 2.79473E-03 7.80188E-03 1.05966E-02 3.89429E-03 0.157019 3 7 70.0 90.0 90.0 4.71737E-02 3.07947E-03 7.26952E-03 1.03490E-02 4.29106E-03 0.154101 2 1 80.0 0.0 180.0 9.65888E-02 2.27977E-03 3.13695E-02 3.36493E-02 3.17673E-03 0.324774 2 4 80.0 45.0 135.0 8.23520E-02 2.28364E-03 2.70313E-02 2.93149E-02 3.18211E-03 0.328241 2 7 80.0 90.0 90.0 7.18764E-02 2.58633E-03 2.39874E-02 2.65737E-02 3.60390E-03 0.333731 1 1 87.5 0.0 180.0 1.52118E-01 1.70217E-03 6.61819E-02 6.78841E-02 2.37187E-03 0.435070 1 4 87.5 45.0 135.0 1.27900E-01 1.66340E-03 5.88427E-02 6.05061E-02 2.31784E-03 0.460068 1 7 87.5 90.0 90.0 1.05526E-01 1.89728E-03 5.15419E-02 5.34392E-02 2.64374E-03 0.488427 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 3.292E-03 2.472E-02 1.100E-01 7.948E-02 3.604E-01 4.588E-03 1.969E+01 2.751E-03 3.833E-03 1 0.00 0.00 5.085E-03 4.444E-02 1.078E-02 1.512E-02 3.871E-02 7.496E-03 5.023E+00 3 2.88 1.00 3.396E-03 6.061E-02 7.528E-03 1.185E-02 3.811E-02 8.693E-03 5.004E+00 5 5.75 2.00 2.566E-03 5.579E-02 4.951E-03 7.848E-03 2.188E-02 1.177E-02 4.236E+00 7 8.63 3.00 2.484E-03 4.318E-02 3.163E-03 4.821E-03 1.114E-02 2.045E-02 3.293E+00 9 11.51 4.00 3.015E-03 3.029E-02 2.168E-03 3.044E-03 5.722E-03 4.420E-02 2.832E+00 12 14.38 5.00 4.092E-03 2.002E-02 3.234E-03 3.453E-03 4.043E-03 1.049E-01 3.142E+00 Waveband 24 of 30 completed in 1.6 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 RADTRANX clear-sky spectral irradiances averaged over the band from 640.0 nm to 650.0 nm: Ed(diffuse) = 2.115E-01 Ed(direct) = 4.857E-01 Ed(total) = 6.972E-01 Absorption Coefficients of Individual Components at 645.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3250 0.0460 0.0255 0.0163 0.3710 3 2.869 1.000 0.3250 0.0460 0.0255 0.0163 0.3710 5 5.738 2.000 0.3250 0.0460 0.0255 0.0163 0.3710 7 8.607 3.000 0.3250 0.0460 0.0255 0.0163 0.3710 9 11.476 4.000 0.3250 0.0460 0.0255 0.0163 0.3710 12 14.345 5.000 0.3250 0.0460 0.0255 0.0163 0.3710 Scattering Coefficients of Individual Components at 645.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0010 2.4970 0.0000 0.0000 2.4980 3 2.869 1.000 0.0010 2.4970 0.0000 0.0000 2.4980 5 5.738 2.000 0.0010 2.4970 0.0000 0.0000 2.4980 7 8.607 3.000 0.0010 2.4970 0.0000 0.0000 2.4980 9 11.476 4.000 0.0010 2.4970 0.0000 0.0000 2.4980 12 14.345 5.000 0.0010 2.4970 0.0000 0.0000 2.4980 Backscattering Coefficients of Individual Components at 645.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00048 0.02497 0.00000 0.00000 0.02545 3 2.869 1.000 0.00048 0.02497 0.00000 0.00000 0.02545 5 5.738 2.000 0.00048 0.02497 0.00000 0.00000 0.02545 7 8.607 3.000 0.00048 0.02497 0.00000 0.00000 0.02545 9 11.476 4.000 0.00048 0.02497 0.00000 0.00000 0.02545 12 14.345 5.000 0.00048 0.02497 0.00000 0.00000 0.02545 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 0.3710 2.4980 2.8690 0.8707 0.02545 0.01019 3 2.869 1.000 0.3710 2.4980 2.8690 0.8707 0.02545 0.01019 5 5.738 2.000 0.3710 2.4980 2.8690 0.8707 0.02545 0.01019 7 8.607 3.000 0.3710 2.4980 2.8690 0.8707 0.02545 0.01019 9 11.476 4.000 0.3710 2.4980 2.8690 0.8707 0.02545 0.01019 12 14.345 5.000 0.3710 2.4980 2.8690 0.8707 0.02545 0.01019 The bottom reflectance at wavelength 645.0 nm is R = 0.331 Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 645.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.1833E-01 1.5240E+00 1.7423E+00 6.2046E-02 6.9722E-01 0.2842 0.4575 0.3645 8.8991E-02 1 0.00 0.00 5.9099E-02 8.8879E-01 9.4789E-01 2.2863E-02 6.5802E-01 0.3868 0.7404 0.6701 3.4744E-02 3 2.87 1.00 4.0390E-02 5.3901E-01 5.7940E-01 1.4750E-02 3.6847E-01 0.3652 0.6836 0.6105 4.0030E-02 5 5.74 2.00 2.4150E-02 2.9687E-01 3.2102E-01 9.1262E-03 2.0003E-01 0.3779 0.6738 0.5947 4.5624E-02 7 8.61 3.00 1.5663E-02 1.5975E-01 1.7541E-01 6.7023E-03 1.0840E-01 0.4279 0.6786 0.5798 6.1827E-02 9 11.48 4.00 1.3806E-02 8.6440E-02 1.0025E-01 7.0256E-03 5.9286E-02 0.5089 0.6859 0.5213 1.1850E-01 12 14.34 5.00 2.1857E-02 4.8378E-02 7.0235E-02 1.0928E-02 3.3015E-02 0.5000 0.6824 0.3145 3.3101E-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 0.26481 0.43035 0.42002 0.34483 0.54642 0.55368 0.43636 1.000 1.010 1.005 0.49052 0.56735 0.56199 0.49629 0.60294 0.60739 0.40611 2.000 2.010 2.005 0.50657 0.61511 0.60694 0.42932 0.61450 0.62336 0.18761 3.000 3.010 3.005 0.31906 0.62001 0.59310 0.15072 0.60906 0.63934 -0.10142 4.000 4.010 4.005 -0.10800 0.60524 0.50671 -0.25149 0.59685 0.71145 -0.29007 4.990 5.000 4.995 -1.50671 0.48993 -0.12715 -0.68326 0.56064 1.17043 -0.34392 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 645.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 2.35422E-02 2.43568E-03 5.15444E-04 2.95112E-03 3.49343E-03 0.021894 9 1 10.0 0.0 180.0 2.03076E-02 2.42910E-03 4.36013E-04 2.86511E-03 3.48400E-03 0.021470 9 4 10.0 45.0 135.0 2.10414E-02 2.42975E-03 4.55823E-04 2.88557E-03 3.48493E-03 0.021663 9 7 10.0 90.0 90.0 2.35522E-02 2.45838E-03 5.12623E-04 2.97100E-03 3.52600E-03 0.021765 8 1 20.0 0.0 180.0 1.95012E-02 2.44501E-03 4.23854E-04 2.86886E-03 3.50682E-03 0.021735 8 4 20.0 45.0 135.0 2.02897E-02 2.43824E-03 4.39978E-04 2.87822E-03 3.49712E-03 0.021685 8 7 20.0 90.0 90.0 2.38994E-02 2.49867E-03 5.22388E-04 3.02106E-03 3.58378E-03 0.021858 7 1 30.0 0.0 180.0 2.01555E-02 2.48949E-03 4.59393E-04 2.94889E-03 3.57062E-03 0.022792 7 4 30.0 45.0 135.0 2.06652E-02 2.50042E-03 4.70711E-04 2.97113E-03 3.58629E-03 0.022778 7 7 30.0 90.0 90.0 2.46941E-02 2.58048E-03 5.62376E-04 3.14286E-03 3.70113E-03 0.022774 6 1 40.0 0.0 180.0 2.25864E-02 2.53286E-03 6.00719E-04 3.13358E-03 3.63283E-03 0.026596 6 4 40.0 45.0 135.0 2.24457E-02 2.54423E-03 5.95843E-04 3.14008E-03 3.64913E-03 0.026546 6 7 40.0 90.0 90.0 2.62654E-02 2.65671E-03 6.92823E-04 3.34953E-03 3.81045E-03 0.026378 5 1 50.0 0.0 180.0 2.75296E-02 2.60551E-03 1.02744E-03 3.63295E-03 3.73702E-03 0.037321 5 4 50.0 45.0 135.0 2.62369E-02 2.60630E-03 9.77304E-04 3.58361E-03 3.73816E-03 0.037249 5 7 50.0 90.0 90.0 2.91700E-02 2.77413E-03 1.07483E-03 3.84896E-03 3.97887E-03 0.036847 4 1 60.0 0.0 180.0 3.66186E-02 2.61638E-03 2.51352E-03 5.12991E-03 3.75261E-03 0.068641 4 4 60.0 45.0 135.0 3.34080E-02 2.61169E-03 2.27400E-03 4.88569E-03 3.74588E-03 0.068067 4 7 60.0 90.0 90.0 3.44263E-02 2.84117E-03 2.30125E-03 5.14242E-03 4.07502E-03 0.066846 3 1 70.0 0.0 180.0 5.39243E-02 2.46042E-03 8.57048E-03 1.10309E-02 3.52892E-03 0.158935 3 4 70.0 45.0 135.0 4.73131E-02 2.48946E-03 7.42905E-03 9.91851E-03 3.57058E-03 0.157019 3 7 70.0 90.0 90.0 4.49194E-02 2.73865E-03 6.92208E-03 9.66073E-03 3.92799E-03 0.154100 2 1 80.0 0.0 180.0 9.19730E-02 2.03591E-03 2.98704E-02 3.19063E-02 2.92005E-03 0.324774 2 4 80.0 45.0 135.0 7.84165E-02 2.03570E-03 2.57395E-02 2.77752E-02 2.91975E-03 0.328241 2 7 80.0 90.0 90.0 6.84415E-02 2.30224E-03 2.28410E-02 2.51433E-02 3.30205E-03 0.333731 1 1 87.5 0.0 180.0 1.44848E-01 1.52074E-03 6.30192E-02 6.45399E-02 2.18117E-03 0.435070 1 4 87.5 45.0 135.0 1.21788E-01 1.48343E-03 5.60307E-02 5.75141E-02 2.12764E-03 0.460068 1 7 87.5 90.0 90.0 1.00483E-01 1.68980E-03 4.90788E-02 5.07686E-02 2.42365E-03 0.488426 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 645.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 2.951E-03 2.354E-02 1.047E-01 7.563E-02 3.447E-01 4.233E-03 2.102E+01 2.436E-03 3.493E-03 1 0.00 0.00 4.502E-03 4.231E-02 9.714E-03 1.367E-02 3.559E-02 6.842E-03 5.078E+00 3 2.87 1.00 2.903E-03 5.668E-02 6.629E-03 1.050E-02 3.428E-02 7.879E-03 5.081E+00 5 5.74 2.00 2.127E-03 5.110E-02 4.228E-03 6.739E-03 1.907E-02 1.063E-02 4.290E+00 7 8.61 3.00 2.040E-03 3.871E-02 2.620E-03 4.018E-03 9.413E-03 1.881E-02 3.286E+00 9 11.48 4.00 2.508E-03 2.658E-02 1.748E-03 2.468E-03 4.695E-03 4.231E-02 2.801E+00 12 14.34 5.00 3.479E-03 1.718E-02 2.707E-03 2.883E-03 3.364E-03 1.054E-01 3.142E+00 Waveband 25 of 30 completed in 1.7 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 RADTRANX clear-sky spectral irradiances averaged over the band from 650.0 nm to 660.0 nm: Ed(diffuse) = 1.988E-01 Ed(direct) = 4.698E-01 Ed(total) = 6.686E-01 Absorption Coefficients of Individual Components at 655.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.3710 0.0475 0.0243 0.0194 0.4185 3 2.883 1.000 0.3710 0.0475 0.0243 0.0194 0.4185 5 5.766 2.000 0.3710 0.0475 0.0243 0.0194 0.4185 7 8.649 3.000 0.3710 0.0475 0.0243 0.0194 0.4185 9 11.533 4.000 0.3710 0.0475 0.0243 0.0194 0.4185 12 14.416 5.000 0.3710 0.0475 0.0243 0.0194 0.4185 Scattering Coefficients of Individual Components at 655.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0009 2.4638 0.0000 0.0000 2.4647 3 2.883 1.000 0.0009 2.4638 0.0000 0.0000 2.4647 5 5.766 2.000 0.0009 2.4638 0.0000 0.0000 2.4647 7 8.649 3.000 0.0009 2.4638 0.0000 0.0000 2.4647 9 11.533 4.000 0.0009 2.4638 0.0000 0.0000 2.4647 12 14.416 5.000 0.0009 2.4638 0.0000 0.0000 2.4647 Backscattering Coefficients of Individual Components at 655.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00045 0.02464 0.00000 0.00000 0.02509 3 2.883 1.000 0.00045 0.02464 0.00000 0.00000 0.02509 5 5.766 2.000 0.00045 0.02464 0.00000 0.00000 0.02509 7 8.649 3.000 0.00045 0.02464 0.00000 0.00000 0.02509 9 11.533 4.000 0.00045 0.02464 0.00000 0.00000 0.02509 12 14.416 5.000 0.00045 0.02464 0.00000 0.00000 0.02509 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 0.4185 2.4647 2.8832 0.8548 0.02509 0.01018 3 2.883 1.000 0.4185 2.4647 2.8832 0.8548 0.02509 0.01018 5 5.766 2.000 0.4185 2.4647 2.8832 0.8548 0.02509 0.01018 7 8.649 3.000 0.4185 2.4647 2.8832 0.8548 0.02509 0.01018 9 11.533 4.000 0.4185 2.4647 2.8832 0.8548 0.02509 0.01018 12 14.416 5.000 0.4185 2.4647 2.8832 0.8548 0.02509 0.01018 The bottom reflectance at wavelength 655.0 nm is R = 0.318 Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 655.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.0544E-01 1.4590E+00 1.6645E+00 5.8101E-02 6.6857E-01 0.2828 0.4582 0.3668 8.6904E-02 1 0.00 0.00 4.9200E-02 8.4631E-01 8.9551E-01 1.8808E-02 6.2926E-01 0.3823 0.7435 0.6817 2.9890E-02 3 2.88 1.00 3.1447E-02 4.8035E-01 5.1179E-01 1.1294E-02 3.3077E-01 0.3592 0.6886 0.6242 3.4146E-02 5 5.77 2.00 1.7395E-02 2.4763E-01 2.6502E-01 6.4303E-03 1.6858E-01 0.3697 0.6808 0.6118 3.8144E-02 7 8.65 3.00 1.0432E-02 1.2506E-01 1.3549E-01 4.3758E-03 8.5924E-02 0.4194 0.6871 0.6019 5.0927E-02 9 11.53 4.00 8.8234E-03 6.3633E-02 7.2456E-02 4.4988E-03 4.4266E-02 0.5099 0.6956 0.5488 1.0163E-01 12 14.42 5.00 1.4798E-02 3.3533E-02 4.8331E-02 7.3990E-03 2.3245E-02 0.5000 0.6932 0.3279 3.1830E-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 0.30377 0.48512 0.47515 0.40192 0.60753 0.61387 0.51261 1.000 1.010 1.005 0.56532 0.63468 0.63041 0.57543 0.66670 0.66993 0.50012 2.000 2.010 2.005 0.58698 0.67989 0.67379 0.51467 0.67678 0.68321 0.26660 3.000 3.010 3.005 0.38906 0.68229 0.65968 0.20757 0.66950 0.69434 -0.08511 4.000 4.010 4.005 -0.10727 0.66614 0.57163 -0.27318 0.65602 0.76168 -0.32352 4.990 5.000 4.995 -1.73000 0.54420 -0.14664 -0.77977 0.61832 1.26449 -0.39012 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 655.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 2.21261E-02 1.96190E-03 4.84439E-04 2.44634E-03 2.93449E-03 0.021894 9 1 10.0 0.0 180.0 1.90861E-02 1.96191E-03 4.09787E-04 2.37170E-03 2.93451E-03 0.021470 9 4 10.0 45.0 135.0 1.97757E-02 1.96101E-03 4.28404E-04 2.38941E-03 2.93315E-03 0.021663 9 7 10.0 90.0 90.0 2.21355E-02 1.98121E-03 4.81788E-04 2.46300E-03 2.96337E-03 0.021765 8 1 20.0 0.0 180.0 1.83282E-02 1.97946E-03 3.98358E-04 2.37782E-03 2.96075E-03 0.021735 8 4 20.0 45.0 135.0 1.90693E-02 1.97143E-03 4.13513E-04 2.38494E-03 2.94874E-03 0.021685 8 7 20.0 90.0 90.0 2.24618E-02 2.01550E-03 4.90966E-04 2.50647E-03 3.01466E-03 0.021858 7 1 30.0 0.0 180.0 1.89431E-02 2.02029E-03 4.31760E-04 2.45205E-03 3.02183E-03 0.022792 7 4 30.0 45.0 135.0 1.94221E-02 2.02545E-03 4.42397E-04 2.46785E-03 3.02954E-03 0.022778 7 7 30.0 90.0 90.0 2.32087E-02 2.08371E-03 5.28548E-04 2.61225E-03 3.11668E-03 0.022774 6 1 40.0 0.0 180.0 2.12278E-02 2.06324E-03 5.64585E-04 2.62782E-03 3.08606E-03 0.026596 6 4 40.0 45.0 135.0 2.10955E-02 2.06717E-03 5.60002E-04 2.62718E-03 3.09195E-03 0.026546 6 7 40.0 90.0 90.0 2.46855E-02 2.14977E-03 6.51148E-04 2.80092E-03 3.21549E-03 0.026378 5 1 50.0 0.0 180.0 2.58736E-02 2.12736E-03 9.65636E-04 3.09299E-03 3.18197E-03 0.037321 5 4 50.0 45.0 135.0 2.46587E-02 2.12172E-03 9.18519E-04 3.04024E-03 3.17353E-03 0.037249 5 7 50.0 90.0 90.0 2.74154E-02 2.24858E-03 1.01017E-03 3.25874E-03 3.36328E-03 0.036847 4 1 60.0 0.0 180.0 3.44159E-02 2.14140E-03 2.36234E-03 4.50374E-03 3.20298E-03 0.068641 4 4 60.0 45.0 135.0 3.13989E-02 2.13043E-03 2.13722E-03 4.26765E-03 3.18656E-03 0.068067 4 7 60.0 90.0 90.0 3.23534E-02 2.30701E-03 2.16280E-03 4.46981E-03 3.45068E-03 0.066849 3 1 70.0 0.0 180.0 5.06807E-02 2.01738E-03 8.05494E-03 1.00723E-02 3.01747E-03 0.158935 3 4 70.0 45.0 135.0 4.44672E-02 2.03405E-03 6.98218E-03 9.01623E-03 3.04241E-03 0.157019 3 7 70.0 90.0 90.0 4.22174E-02 2.22798E-03 6.50567E-03 8.73365E-03 3.33247E-03 0.154099 2 1 80.0 0.0 180.0 8.64407E-02 1.67220E-03 2.80737E-02 2.97459E-02 2.50118E-03 0.324774 2 4 80.0 45.0 135.0 7.36997E-02 1.66592E-03 2.41912E-02 2.58572E-02 2.49179E-03 0.328241 2 7 80.0 90.0 90.0 6.43246E-02 1.87627E-03 2.14671E-02 2.33434E-02 2.80641E-03 0.333730 1 1 87.5 0.0 180.0 1.36135E-01 1.25020E-03 5.92285E-02 6.04787E-02 1.86996E-03 0.435070 1 4 87.5 45.0 135.0 1.14462E-01 1.21503E-03 5.26604E-02 5.38754E-02 1.81737E-03 0.460068 1 7 87.5 90.0 90.0 9.44393E-02 1.37855E-03 4.61266E-02 4.75052E-02 2.06194E-03 0.488426 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 655.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 2.446E-03 2.213E-02 9.831E-02 7.097E-02 3.253E-01 3.659E-03 2.375E+01 1.962E-03 2.934E-03 1 0.00 0.00 3.626E-03 3.976E-02 8.131E-03 1.146E-02 3.068E-02 5.763E-03 5.187E+00 3 2.88 1.00 2.144E-03 5.078E-02 5.256E-03 8.379E-03 2.800E-02 6.482E-03 5.268E+00 5 5.77 2.00 1.435E-03 4.350E-02 3.127E-03 5.016E-03 1.447E-02 8.511E-03 4.482E+00 7 8.65 3.00 1.308E-03 3.130E-02 1.808E-03 2.792E-03 6.656E-03 1.523E-02 3.345E+00 9 11.53 4.00 1.628E-03 2.040E-02 1.125E-03 1.601E-03 3.097E-03 3.678E-02 2.764E+00 12 14.42 5.00 2.355E-03 1.252E-02 1.793E-03 1.904E-03 2.211E-03 1.013E-01 3.142E+00 Waveband 26 of 30 completed in 1.7 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 RADTRANX clear-sky spectral irradiances averaged over the band from 660.0 nm to 670.0 nm: Ed(diffuse) = 2.053E-01 Ed(direct) = 4.989E-01 Ed(total) = 7.042E-01 Absorption Coefficients of Individual Components at 665.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.4290 0.0540 0.0250 0.0267 0.4830 3 2.912 1.000 0.4290 0.0540 0.0250 0.0267 0.4830 5 5.824 2.000 0.4290 0.0540 0.0250 0.0267 0.4830 7 8.736 3.000 0.4290 0.0540 0.0250 0.0267 0.4830 9 11.647 4.000 0.4290 0.0540 0.0250 0.0267 0.4830 12 14.559 5.000 0.4290 0.0540 0.0250 0.0267 0.4830 Scattering Coefficients of Individual Components at 665.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0008 2.4280 0.0000 0.0000 2.4288 3 2.912 1.000 0.0008 2.4280 0.0000 0.0000 2.4288 5 5.824 2.000 0.0008 2.4280 0.0000 0.0000 2.4288 7 8.736 3.000 0.0008 2.4280 0.0000 0.0000 2.4288 9 11.647 4.000 0.0008 2.4280 0.0000 0.0000 2.4288 12 14.559 5.000 0.0008 2.4280 0.0000 0.0000 2.4288 Backscattering Coefficients of Individual Components at 665.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00042 0.02428 0.00000 0.00000 0.02470 3 2.912 1.000 0.00042 0.02428 0.00000 0.00000 0.02470 5 5.824 2.000 0.00042 0.02428 0.00000 0.00000 0.02470 7 8.736 3.000 0.00042 0.02428 0.00000 0.00000 0.02470 9 11.647 4.000 0.00042 0.02428 0.00000 0.00000 0.02470 12 14.559 5.000 0.00042 0.02428 0.00000 0.00000 0.02470 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 0.4830 2.4288 2.9118 0.8341 0.02470 0.01017 3 2.912 1.000 0.4830 2.4288 2.9118 0.8341 0.02470 0.01017 5 5.824 2.000 0.4830 2.4288 2.9118 0.8341 0.02470 0.01017 7 8.736 3.000 0.4830 2.4288 2.9118 0.8341 0.02470 0.01017 9 11.647 4.000 0.4830 2.4288 2.9118 0.8341 0.02470 0.01017 12 14.559 5.000 0.4830 2.4288 2.9118 0.8341 0.02470 0.01017 The bottom reflectance at wavelength 665.0 nm is R = 0.275 Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 665.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.1259E-01 1.5345E+00 1.7471E+00 5.9876E-02 7.0423E-01 0.2817 0.4589 0.3688 8.5024E-02 1 0.00 0.00 4.4326E-02 8.8540E-01 9.2973E-01 1.6765E-02 6.6111E-01 0.3782 0.7467 0.6930 2.5360E-02 3 2.91 1.00 2.5878E-02 4.5955E-01 4.8543E-01 9.1574E-03 3.1904E-01 0.3539 0.6942 0.6384 2.8703E-02 5 5.82 2.00 1.2907E-02 2.1685E-01 2.2975E-01 4.6530E-03 1.4939E-01 0.3605 0.6889 0.6300 3.1147E-02 7 8.74 3.00 6.8742E-03 1.0065E-01 1.0753E-01 2.7759E-03 7.0158E-02 0.4038 0.6970 0.6267 3.9567E-02 9 11.65 4.00 5.2349E-03 4.7216E-02 5.2450E-02 2.6230E-03 3.3387E-02 0.5011 0.7071 0.5865 7.8563E-02 12 14.56 5.00 8.9291E-03 2.2926E-02 3.1855E-02 4.4646E-03 1.6210E-02 0.5000 0.7070 0.3687 2.7543E-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 0.36282 0.56225 0.55273 0.47992 0.69046 0.69595 0.61084 1.000 1.010 1.005 0.66410 0.72501 0.72177 0.67947 0.75255 0.75471 0.63259 2.000 2.010 2.005 0.69719 0.76624 0.76236 0.64008 0.76012 0.76398 0.41723 3.000 3.010 3.005 0.51340 0.76480 0.74871 0.33406 0.74993 0.76710 -0.00445 4.000 4.010 4.005 -0.04460 0.74671 0.66745 -0.24770 0.73450 0.81869 -0.33978 4.990 5.000 4.995 -1.91751 0.63242 -0.07581 -0.87810 0.69806 1.29074 -0.44317 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 665.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 2.28543E-02 1.72196E-03 5.00382E-04 2.22234E-03 2.44517E-03 0.021894 9 1 10.0 0.0 180.0 1.97142E-02 1.72801E-03 4.23272E-04 2.15128E-03 2.45375E-03 0.021470 9 4 10.0 45.0 135.0 2.04265E-02 1.72556E-03 4.42503E-04 2.16806E-03 2.45028E-03 0.021663 9 7 10.0 90.0 90.0 2.28639E-02 1.73966E-03 4.97643E-04 2.23730E-03 2.47029E-03 0.021765 8 1 20.0 0.0 180.0 1.89313E-02 1.74810E-03 4.11468E-04 2.15957E-03 2.48228E-03 0.021735 8 4 20.0 45.0 135.0 1.96968E-02 1.73817E-03 4.27121E-04 2.16529E-03 2.46819E-03 0.021685 8 7 20.0 90.0 90.0 2.32010E-02 1.77098E-03 5.07123E-04 2.27810E-03 2.51477E-03 0.021858 7 1 30.0 0.0 180.0 1.95665E-02 1.78870E-03 4.45969E-04 2.23467E-03 2.53994E-03 0.022792 7 4 30.0 45.0 135.0 2.00613E-02 1.78925E-03 4.56955E-04 2.24620E-03 2.54071E-03 0.022778 7 7 30.0 90.0 90.0 2.39725E-02 1.83233E-03 5.45942E-04 2.37827E-03 2.60189E-03 0.022774 6 1 40.0 0.0 180.0 2.19264E-02 1.83353E-03 5.83164E-04 2.41669E-03 2.60359E-03 0.026596 6 4 40.0 45.0 135.0 2.17898E-02 1.83136E-03 5.78431E-04 2.40979E-03 2.60051E-03 0.026546 6 7 40.0 90.0 90.0 2.54979E-02 1.89309E-03 6.72576E-04 2.56567E-03 2.68817E-03 0.026378 5 1 50.0 0.0 180.0 2.67251E-02 1.89446E-03 9.97414E-04 2.89187E-03 2.69011E-03 0.037321 5 4 50.0 45.0 135.0 2.54702E-02 1.88275E-03 9.48748E-04 2.83150E-03 2.67349E-03 0.037249 5 7 50.0 90.0 90.0 2.83176E-02 1.98207E-03 1.04340E-03 3.02547E-03 2.81452E-03 0.036846 4 1 60.0 0.0 180.0 3.55485E-02 1.91101E-03 2.44008E-03 4.35109E-03 2.71361E-03 0.068641 4 4 60.0 45.0 135.0 3.24325E-02 1.89363E-03 2.20756E-03 4.10119E-03 2.68894E-03 0.068066 4 7 60.0 90.0 90.0 3.34159E-02 2.03568E-03 2.23394E-03 4.26962E-03 2.89064E-03 0.066853 3 1 70.0 0.0 180.0 5.23486E-02 1.80282E-03 8.32001E-03 1.01228E-02 2.55999E-03 0.158935 3 4 70.0 45.0 135.0 4.59305E-02 1.81004E-03 7.21196E-03 9.02200E-03 2.57024E-03 0.157019 3 7 70.0 90.0 90.0 4.36067E-02 1.96803E-03 6.71972E-03 8.68775E-03 2.79458E-03 0.154098 2 1 80.0 0.0 180.0 8.92853E-02 1.49632E-03 2.89976E-02 3.04939E-02 2.12476E-03 0.324774 2 4 80.0 45.0 135.0 7.61250E-02 1.48407E-03 2.49873E-02 2.64714E-02 2.10737E-03 0.328241 2 7 80.0 90.0 90.0 6.64415E-02 1.65902E-03 2.21735E-02 2.38325E-02 2.35579E-03 0.333730 1 1 87.5 0.0 180.0 1.40615E-01 1.11944E-03 6.11776E-02 6.22970E-02 1.58959E-03 0.435070 1 4 87.5 45.0 135.0 1.18229E-01 1.08305E-03 5.43933E-02 5.54764E-02 1.53792E-03 0.460068 1 7 87.5 90.0 90.0 9.75471E-02 1.21969E-03 4.76446E-02 4.88643E-02 1.73195E-03 0.488426 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 665.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 2.222E-03 2.285E-02 1.015E-01 7.321E-02 3.374E-01 3.156E-03 2.694E+01 1.722E-03 2.445E-03 1 0.00 0.00 3.183E-03 4.105E-02 7.403E-03 1.041E-02 2.853E-02 4.814E-03 5.268E+00 3 2.91 1.00 1.677E-03 4.907E-02 4.431E-03 7.072E-03 2.405E-02 5.257E-03 5.460E+00 5 5.82 2.00 9.703E-04 3.919E-02 2.407E-03 3.857E-03 1.126E-02 6.495E-03 4.796E+00 7 8.74 3.00 7.814E-04 2.629E-02 1.271E-03 1.961E-03 4.718E-03 1.114E-02 3.553E+00 9 11.65 4.00 9.446E-04 1.597E-02 7.159E-04 1.023E-03 2.001E-03 2.829E-02 2.777E+00 12 14.56 5.00 1.421E-03 9.132E-03 1.071E-03 1.139E-03 1.326E-03 8.767E-02 3.142E+00 Waveband 27 of 30 completed in 1.8 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 RADTRANX clear-sky spectral irradiances averaged over the band from 670.0 nm to 680.0 nm: Ed(diffuse) = 1.988E-01 Ed(direct) = 4.962E-01 Ed(total) = 6.950E-01 Absorption Coefficients of Individual Components at 675.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.4480 0.0568 0.0242 0.0272 0.5048 3 2.906 1.000 0.4480 0.0568 0.0242 0.0272 0.5048 5 5.813 2.000 0.4480 0.0568 0.0242 0.0272 0.5048 7 8.719 3.000 0.4480 0.0568 0.0242 0.0272 0.5048 9 11.626 4.000 0.4480 0.0568 0.0242 0.0272 0.5048 12 14.532 5.000 0.4480 0.0568 0.0242 0.0272 0.5048 Scattering Coefficients of Individual Components at 675.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0008 2.4008 0.0000 0.0000 2.4016 3 2.906 1.000 0.0008 2.4008 0.0000 0.0000 2.4016 5 5.813 2.000 0.0008 2.4008 0.0000 0.0000 2.4016 7 8.719 3.000 0.0008 2.4008 0.0000 0.0000 2.4016 9 11.626 4.000 0.0008 2.4008 0.0000 0.0000 2.4016 12 14.532 5.000 0.0008 2.4008 0.0000 0.0000 2.4016 Backscattering Coefficients of Individual Components at 675.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00040 0.02401 0.00000 0.00000 0.02440 3 2.906 1.000 0.00040 0.02401 0.00000 0.00000 0.02440 5 5.813 2.000 0.00040 0.02401 0.00000 0.00000 0.02440 7 8.719 3.000 0.00040 0.02401 0.00000 0.00000 0.02440 9 11.626 4.000 0.00040 0.02401 0.00000 0.00000 0.02440 12 14.532 5.000 0.00040 0.02401 0.00000 0.00000 0.02440 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 0.5048 2.4016 2.9064 0.8263 0.02440 0.01016 3 2.906 1.000 0.5048 2.4016 2.9064 0.8263 0.02440 0.01016 5 5.813 2.000 0.5048 2.4016 2.9064 0.8263 0.02440 0.01016 7 8.719 3.000 0.5048 2.4016 2.9064 0.8263 0.02440 0.01016 9 11.626 4.000 0.5048 2.4016 2.9064 0.8263 0.02440 0.01016 12 14.532 5.000 0.5048 2.4016 2.9064 0.8263 0.02440 0.01016 The bottom reflectance at wavelength 675.0 nm is R = 0.254 Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 675.0 nm iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed in air 2.0821E-01 1.5121E+00 1.7203E+00 5.8886E-02 6.9499E-01 0.2828 0.4596 0.3698 8.4729E-02 1 0.00 0.00 4.2685E-02 8.7310E-01 9.1578E-01 1.6194E-02 6.5229E-01 0.3794 0.7471 0.6946 2.4826E-02 3 2.91 1.00 2.4281E-02 4.4038E-01 4.6466E-01 8.6411E-03 3.0635E-01 0.3559 0.6956 0.6407 2.8206E-02 5 5.81 2.00 1.1834E-02 2.0224E-01 2.1407E-01 4.2833E-03 1.3972E-01 0.3620 0.6909 0.6327 3.0655E-02 7 8.72 3.00 6.1134E-03 9.1544E-02 9.7657E-02 2.4500E-03 6.4007E-02 0.4008 0.6992 0.6303 3.8277E-02 9 11.63 4.00 4.4125E-03 4.1953E-02 4.6365E-02 2.1755E-03 2.9755E-02 0.4930 0.7093 0.5948 7.3114E-02 12 14.53 5.00 7.1681E-03 1.9908E-02 2.7076E-02 3.5841E-03 1.4130E-02 0.5000 0.7098 0.3895 2.5365E-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 0.38796 0.58890 0.57953 0.50449 0.71727 0.72270 0.63226 1.000 1.010 1.005 0.68823 0.75308 0.74969 0.70236 0.77945 0.78169 0.66288 2.000 2.010 2.005 0.72131 0.79235 0.78842 0.67011 0.78573 0.78939 0.47383 3.000 3.010 3.005 0.55395 0.78894 0.77422 0.39054 0.77403 0.78932 0.06307 4.000 4.010 4.005 0.01605 0.76923 0.69731 -0.19224 0.75711 0.83238 -0.30975 4.990 5.000 4.995 -1.86869 0.66385 -0.00040 -0.87037 0.72119 1.25637 -0.44410 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 675.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 2.21255E-02 1.68206E-03 4.84426E-04 2.16649E-03 2.42027E-03 0.021894 9 1 10.0 0.0 180.0 1.90856E-02 1.69033E-03 4.09775E-04 2.10011E-03 2.43217E-03 0.021470 9 4 10.0 45.0 135.0 1.97752E-02 1.68731E-03 4.28393E-04 2.11570E-03 2.42781E-03 0.021663 9 7 10.0 90.0 90.0 2.21349E-02 1.69913E-03 4.81774E-04 2.18090E-03 2.44482E-03 0.021765 8 1 20.0 0.0 180.0 1.83277E-02 1.71088E-03 3.98347E-04 2.10923E-03 2.46173E-03 0.021735 8 4 20.0 45.0 135.0 1.90687E-02 1.70026E-03 4.13501E-04 2.11376E-03 2.44645E-03 0.021685 8 7 20.0 90.0 90.0 2.24612E-02 1.72912E-03 4.90952E-04 2.22008E-03 2.48799E-03 0.021858 7 1 30.0 0.0 180.0 1.89426E-02 1.75121E-03 4.31748E-04 2.18296E-03 2.51977E-03 0.022792 7 4 30.0 45.0 135.0 1.94216E-02 1.75059E-03 4.42384E-04 2.19298E-03 2.51888E-03 0.022778 7 7 30.0 90.0 90.0 2.32080E-02 1.78821E-03 5.28533E-04 2.31674E-03 2.57300E-03 0.022774 6 1 40.0 0.0 180.0 2.12272E-02 1.79537E-03 5.64568E-04 2.35994E-03 2.58330E-03 0.026596 6 4 40.0 45.0 135.0 2.10950E-02 1.79178E-03 5.59987E-04 2.35176E-03 2.57813E-03 0.026546 6 7 40.0 90.0 90.0 2.46848E-02 1.84544E-03 6.51129E-04 2.49657E-03 2.65535E-03 0.026378 5 1 50.0 0.0 180.0 2.58729E-02 1.85472E-03 9.65609E-04 2.82033E-03 2.66870E-03 0.037321 5 4 50.0 45.0 135.0 2.46581E-02 1.84151E-03 9.18496E-04 2.76000E-03 2.64969E-03 0.037249 5 7 50.0 90.0 90.0 2.74146E-02 1.92995E-03 1.01012E-03 2.94007E-03 2.77695E-03 0.036846 4 1 60.0 0.0 180.0 3.44150E-02 1.87050E-03 2.36228E-03 4.23278E-03 2.69141E-03 0.068641 4 4 60.0 45.0 135.0 3.13987E-02 1.85146E-03 2.13717E-03 3.98863E-03 2.66401E-03 0.068066 4 7 60.0 90.0 90.0 3.23482E-02 1.97967E-03 2.16268E-03 4.14235E-03 2.84849E-03 0.066856 3 1 70.0 0.0 180.0 5.06793E-02 1.76382E-03 8.05471E-03 9.81852E-03 2.53791E-03 0.158935 3 4 70.0 45.0 135.0 4.44660E-02 1.76864E-03 6.98199E-03 8.75063E-03 2.54484E-03 0.157019 3 7 70.0 90.0 90.0 4.22162E-02 1.91107E-03 6.50541E-03 8.41648E-03 2.74979E-03 0.154097 2 1 80.0 0.0 180.0 8.64383E-02 1.46329E-03 2.80729E-02 2.95362E-02 2.10549E-03 0.324774 2 4 80.0 45.0 135.0 7.36976E-02 1.44923E-03 2.41906E-02 2.56398E-02 2.08525E-03 0.328241 2 7 80.0 90.0 90.0 6.43228E-02 1.60881E-03 2.14664E-02 2.30752E-02 2.31486E-03 0.333730 1 1 87.5 0.0 180.0 1.36132E-01 1.09441E-03 5.92268E-02 6.03212E-02 1.57472E-03 0.435070 1 4 87.5 45.0 135.0 1.14459E-01 1.05723E-03 5.26589E-02 5.37161E-02 1.52122E-03 0.460068 1 7 87.5 90.0 90.0 9.44366E-02 1.18195E-03 4.61253E-02 4.73073E-02 1.70067E-03 0.488426 Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 675.0 nm [Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).] iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed (m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr) in air 2.166E-03 2.213E-02 9.823E-02 7.087E-02 3.281E-01 3.117E-03 2.718E+01 1.682E-03 2.420E-03 1 0.00 0.00 3.109E-03 3.974E-02 7.212E-03 1.004E-02 2.726E-02 4.766E-03 5.209E+00 3 2.91 1.00 1.600E-03 4.674E-02 4.207E-03 6.621E-03 2.229E-02 5.221E-03 5.402E+00 5 5.81 2.00 8.874E-04 3.659E-02 2.237E-03 3.522E-03 1.015E-02 6.351E-03 4.827E+00 7 8.72 3.00 6.688E-04 2.404E-02 1.162E-03 1.756E-03 4.154E-03 1.045E-02 3.663E+00 9 11.63 4.00 7.682E-04 1.432E-02 6.402E-04 8.974E-04 1.726E-03 2.582E-02 2.832E+00 12 14.53 5.00 1.141E-03 8.023E-03 8.722E-04 9.274E-04 1.082E-03 8.074E-02 3.142E+00 Waveband 28 of 30 completed in 1.8 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 RADTRANX clear-sky spectral irradiances averaged over the band from 680.0 nm to 690.0 nm: Ed(diffuse) = 1.764E-01 Ed(direct) = 4.519E-01 Ed(total) = 6.283E-01 Absorption Coefficients of Individual Components at 685.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.4860 0.0460 0.0190 0.0210 0.5320 3 2.918 1.000 0.4860 0.0460 0.0190 0.0210 0.5320 5 5.835 2.000 0.4860 0.0460 0.0190 0.0210 0.5320 7 8.753 3.000 0.4860 0.0460 0.0190 0.0210 0.5320 9 11.671 4.000 0.4860 0.0460 0.0190 0.0210 0.5320 12 14.589 5.000 0.4860 0.0460 0.0190 0.0210 0.5320 Scattering Coefficients of Individual Components at 685.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0007 2.3850 0.0000 0.0000 2.3857 3 2.918 1.000 0.0007 2.3850 0.0000 0.0000 2.3857 5 5.835 2.000 0.0007 2.3850 0.0000 0.0000 2.3857 7 8.753 3.000 0.0007 2.3850 0.0000 0.0000 2.3857 9 11.671 4.000 0.0007 2.3850 0.0000 0.0000 2.3857 12 14.589 5.000 0.0007 2.3850 0.0000 0.0000 2.3857 Backscattering Coefficients of Individual Components at 685.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00037 0.02385 0.00000 0.00000 0.02422 3 2.918 1.000 0.00037 0.02385 0.00000 0.00000 0.02422 5 5.835 2.000 0.00037 0.02385 0.00000 0.00000 0.02422 7 8.753 3.000 0.00037 0.02385 0.00000 0.00000 0.02422 9 11.671 4.000 0.00037 0.02385 0.00000 0.00000 0.02422 12 14.589 5.000 0.00037 0.02385 0.00000 0.00000 0.02422 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 0.5320 2.3857 2.9177 0.8177 0.02422 0.01015 3 2.918 1.000 0.5320 2.3857 2.9177 0.8177 0.02422 0.01015 5 5.835 2.000 0.5320 2.3857 2.9177 0.8177 0.02422 0.01015 7 8.753 3.000 0.5320 2.3857 2.9177 0.8177 0.02422 0.01015 9 11.671 4.000 0.5320 2.3857 2.9177 0.8177 0.02422 0.01015 12 14.589 5.000 0.5320 2.3857 2.9177 0.8177 0.02422 0.01015 The bottom reflectance at wavelength 685.0 nm is R = 0.278 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 1.8684E-01 1.3650E+00 1.5519E+00 5.3045E-02 6.2829E-01 0.2839 0.4603 0.3707 8.4428E-02 1 0.00 0.00 3.7527E-02 7.8858E-01 8.2610E-01 1.4286E-02 5.8952E-01 0.3807 0.7476 0.6963 2.4232E-02 3 2.92 1.00 2.0704E-02 3.8359E-01 4.0429E-01 7.4236E-03 2.6740E-01 0.3586 0.6971 0.6430 2.7762E-02 5 5.84 2.00 9.8533E-03 1.7012E-01 1.7997E-01 3.6057E-03 1.1790E-01 0.3659 0.6931 0.6351 3.0582E-02 7 8.75 3.00 5.0153E-03 7.4566E-02 7.9582E-02 2.0347E-03 5.2319E-02 0.4057 0.7016 0.6319 3.8891E-02 9 11.67 4.00 3.6204E-03 3.3191E-02 3.6811E-02 1.8049E-03 2.3613E-02 0.4985 0.7114 0.5924 7.6437E-02 12 14.59 5.00 6.0820E-03 1.5377E-02 2.1459E-02 3.0410E-03 1.0922E-02 0.5000 0.7103 0.3673 2.7843E-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 0.41650 0.62225 0.61289 0.53257 0.75142 0.75686 0.65467 1.000 1.010 1.005 0.71638 0.78912 0.78540 0.72647 0.81406 0.81656 0.68357 2.000 2.010 2.005 0.74093 0.82589 0.82124 0.68718 0.81860 0.82275 0.49444 3.000 3.010 3.005 0.56273 0.81964 0.80343 0.39942 0.80476 0.82119 0.07657 4.000 4.010 4.005 0.00306 0.79667 0.71834 -0.20220 0.78541 0.86759 -0.31535 4.990 5.000 4.995 -2.00369 0.67498 -0.07695 -0.91558 0.74378 1.37678 -0.46053 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 685.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.96379E-02 1.50368E-03 4.29962E-04 1.93364E-03 2.39329E-03 0.021894 9 1 10.0 0.0 180.0 1.69398E-02 1.51292E-03 3.63704E-04 1.87662E-03 2.40799E-03 0.021470 9 4 10.0 45.0 135.0 1.75518E-02 1.50966E-03 3.80228E-04 1.88989E-03 2.40281E-03 0.021663 9 7 10.0 90.0 90.0 1.96462E-02 1.51853E-03 4.27608E-04 1.94613E-03 2.41691E-03 0.021765 8 1 20.0 0.0 180.0 1.62671E-02 1.53170E-03 3.53561E-04 1.88527E-03 2.43789E-03 0.021735 8 4 20.0 45.0 135.0 1.69248E-02 1.52142E-03 3.67011E-04 1.88843E-03 2.42152E-03 0.021685 8 7 20.0 90.0 90.0 1.99359E-02 1.54445E-03 4.35754E-04 1.98020E-03 2.45817E-03 0.021858 7 1 30.0 0.0 180.0 1.68129E-02 1.56790E-03 3.83206E-04 1.95111E-03 2.49550E-03 0.022792 7 4 30.0 45.0 135.0 1.72380E-02 1.56637E-03 3.92647E-04 1.95902E-03 2.49306E-03 0.022778 7 7 30.0 90.0 90.0 2.05987E-02 1.59608E-03 4.69110E-04 2.06519E-03 2.54035E-03 0.022774 6 1 40.0 0.0 180.0 1.88406E-02 1.60686E-03 5.01093E-04 2.10796E-03 2.55751E-03 0.026596 6 4 40.0 45.0 135.0 1.87232E-02 1.60241E-03 4.97027E-04 2.09944E-03 2.55042E-03 0.026546 6 7 40.0 90.0 90.0 2.19095E-02 1.64455E-03 5.77921E-04 2.22247E-03 2.61749E-03 0.026378 5 1 50.0 0.0 180.0 2.29640E-02 1.65917E-03 8.57045E-04 2.51621E-03 2.64077E-03 0.037321 5 4 50.0 45.0 135.0 2.18857E-02 1.64587E-03 8.15229E-04 2.46110E-03 2.61960E-03 0.037249 5 7 50.0 90.0 90.0 2.43323E-02 1.71735E-03 8.96546E-04 2.61389E-03 2.73336E-03 0.036846 4 1 60.0 0.0 180.0 3.05457E-02 1.67235E-03 2.09669E-03 3.76904E-03 2.66174E-03 0.068641 4 4 60.0 45.0 135.0 2.78688E-02 1.65360E-03 1.89689E-03 3.55049E-03 2.63191E-03 0.068065 4 7 60.0 90.0 90.0 2.87095E-02 1.75885E-03 1.91951E-03 3.67835E-03 2.79942E-03 0.066860 3 1 70.0 0.0 180.0 4.49814E-02 1.57589E-03 7.14910E-03 8.72499E-03 2.50822E-03 0.158935 3 4 70.0 45.0 135.0 3.94666E-02 1.57829E-03 6.19700E-03 7.77529E-03 2.51204E-03 0.157019 3 7 70.0 90.0 90.0 3.74698E-02 1.69504E-03 5.77397E-03 7.46901E-03 2.69786E-03 0.154096 2 1 80.0 0.0 180.0 7.67199E-02 1.30651E-03 2.49167E-02 2.62232E-02 2.07946E-03 0.324774 2 4 80.0 45.0 135.0 6.54117E-02 1.29218E-03 2.14708E-02 2.27630E-02 2.05665E-03 0.328241 2 7 80.0 90.0 90.0 5.70910E-02 1.42470E-03 1.90529E-02 2.04776E-02 2.26758E-03 0.333729 1 1 87.5 0.0 180.0 1.20826E-01 9.76773E-04 5.25679E-02 5.35447E-02 1.55465E-03 0.435070 1 4 87.5 45.0 135.0 1.01590E-01 9.42218E-04 4.67384E-02 4.76806E-02 1.49965E-03 0.460068 1 7 87.5 90.0 90.0 8.38190E-02 1.04586E-03 4.09394E-02 4.19853E-02 1.66461E-03 0.488426 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 1.934E-03 1.964E-02 8.719E-02 6.290E-02 2.925E-01 3.078E-03 2.743E+01 1.504E-03 2.393E-03 1 0.00 0.00 2.779E-03 3.528E-02 6.411E-03 8.830E-03 2.377E-02 4.715E-03 5.140E+00 3 2.92 1.00 1.400E-03 4.065E-02 3.627E-03 5.629E-03 1.872E-02 5.237E-03 5.301E+00 5 5.84 2.00 7.613E-04 3.099E-02 1.881E-03 2.904E-03 8.217E-03 6.457E-03 4.736E+00 7 8.75 3.00 5.632E-04 1.982E-02 9.588E-04 1.414E-03 3.266E-03 1.077E-02 3.613E+00 9 11.67 4.00 6.441E-04 1.149E-02 5.229E-04 7.134E-04 1.330E-03 2.728E-02 2.802E+00 12 14.59 5.00 9.680E-04 6.269E-03 7.321E-04 7.719E-04 8.839E-04 8.863E-02 3.142E+00 Waveband 29 of 30 completed in 1.8 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 RADTRANX clear-sky spectral irradiances averaged over the band from 690.0 nm to 700.0 nm: Ed(diffuse) = 1.664E-01 Ed(direct) = 4.377E-01 Ed(total) = 6.042E-01 Absorption Coefficients of Individual Components at 695.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.5590 0.0307 0.0137 0.0131 0.5897 3 2.959 1.000 0.5590 0.0307 0.0137 0.0131 0.5897 5 5.919 2.000 0.5590 0.0307 0.0137 0.0131 0.5897 7 8.878 3.000 0.5590 0.0307 0.0137 0.0131 0.5897 9 11.837 4.000 0.5590 0.0307 0.0137 0.0131 0.5897 12 14.797 5.000 0.5590 0.0307 0.0137 0.0131 0.5897 Scattering Coefficients of Individual Components at 695.0 nm iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.0007 2.3690 0.0000 0.0000 2.3697 3 2.959 1.000 0.0007 2.3690 0.0000 0.0000 2.3697 5 5.919 2.000 0.0007 2.3690 0.0000 0.0000 2.3697 7 8.878 3.000 0.0007 2.3690 0.0000 0.0000 2.3697 9 11.837 4.000 0.0007 2.3690 0.0000 0.0000 2.3697 12 14.797 5.000 0.0007 2.3690 0.0000 0.0000 2.3697 Backscattering Coefficients of Individual Components at 695.0 nm (computed from the scattering coefficients and the phase functions) iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total (m) (1/m) (1/m) (1/m) (1/m) (1/m) 1 0.000 0.000 0.00035 0.02369 0.00000 0.00000 0.02404 3 2.959 1.000 0.00035 0.02369 0.00000 0.00000 0.02404 5 5.919 2.000 0.00035 0.02369 0.00000 0.00000 0.02404 7 8.878 3.000 0.00035 0.02369 0.00000 0.00000 0.02404 9 11.837 4.000 0.00035 0.02369 0.00000 0.00000 0.02404 12 14.797 5.000 0.00035 0.02369 0.00000 0.00000 0.02404 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 0.5897 2.3697 2.9594 0.8007 0.02404 0.01014 3 2.959 1.000 0.5897 2.3697 2.9594 0.8007 0.02404 0.01014 5 5.919 2.000 0.5897 2.3697 2.9594 0.8007 0.02404 0.01014 7 8.878 3.000 0.5897 2.3697 2.9594 0.8007 0.02404 0.01014 9 11.837 4.000 0.5897 2.3697 2.9594 0.8007 0.02404 0.01014 12 14.797 5.000 0.5897 2.3697 2.9594 0.8007 0.02404 0.01014 The bottom reflectance at wavelength 695.0 nm is R = 0.358 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 1.7703E-01 1.3107E+00 1.4877E+00 5.0160E-02 6.0415E-01 0.2833 0.4609 0.3724 8.3026E-02 1 0.00 0.00 3.1489E-02 7.5464E-01 7.8613E-01 1.1860E-02 5.6584E-01 0.3766 0.7498 0.7047 2.0960E-02 3 2.96 1.00 1.6059E-02 3.3854E-01 3.5460E-01 5.6943E-03 2.3746E-01 0.3546 0.7014 0.6536 2.3980E-02 5 5.92 2.00 7.0557E-03 1.3863E-01 1.4568E-01 2.5629E-03 9.6971E-02 0.3632 0.6995 0.6480 2.6429E-02 7 8.88 3.00 3.3949E-03 5.6328E-02 5.9723E-02 1.3926E-03 3.9969E-02 0.4102 0.7096 0.6459 3.4842E-02 9 11.84 4.00 2.5510E-03 2.3330E-02 2.5881E-02 1.3278E-03 1.6803E-02 0.5205 0.7202 0.5979 7.9020E-02 12 14.80 5.00 5.2067E-03 1.0150E-02 1.5356E-02 2.6033E-03 7.2685E-03 0.5000 0.7161 0.3038 3.5817E-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 0.46690 0.69385 0.68475 0.59902 0.82708 0.83196 0.73087 1.000 1.010 1.005 0.79930 0.87064 0.86741 0.80752 0.89196 0.89403 0.76009 2.000 2.010 2.005 0.81496 0.90368 0.89938 0.75366 0.89389 0.89770 0.53161 3.000 3.010 3.005 0.58822 0.89349 0.87611 0.39212 0.87708 0.89463 0.01883 4.000 4.010 4.005 -0.11592 0.86661 0.76933 -0.33228 0.85495 0.95747 -0.41422 4.990 5.000 4.995 -2.51355 0.69201 -0.38339 -1.10603 0.80084 1.84936 -0.53998 Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 695.0 nm [(Theta,Phi) are the directions of photon travel. Theta is measured from 0 at the zenith. Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0). (Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)] I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho (zenith) (Lrefl/Lsky) 10 1 0.0 0.0 0.0 1.85239E-02 1.23173E-03 4.05570E-04 1.63730E-03 2.03881E-03 0.021894 9 1 10.0 0.0 180.0 1.59788E-02 1.24128E-03 3.43071E-04 1.58435E-03 2.05461E-03 0.021470 9 4 10.0 45.0 135.0 1.65561E-02 1.23789E-03 3.58657E-04 1.59655E-03 2.04900E-03 0.021663 9 7 10.0 90.0 90.0 1.85317E-02 1.24380E-03 4.03350E-04 1.64715E-03 2.05878E-03 0.021765 8 1 20.0 0.0 180.0 1.53442E-02 1.25803E-03 3.33503E-04 1.59154E-03 2.08234E-03 0.021735 8 4 20.0 45.0 135.0 1.59647E-02 1.24828E-03 3.46190E-04 1.59447E-03 2.06619E-03 0.021685 8 7 20.0 90.0 90.0 1.88049E-02 1.26496E-03 4.11033E-04 1.67599E-03 2.09380E-03 0.021858 7 1 30.0 0.0 180.0 1.58591E-02 1.28899E-03 3.61467E-04 1.65045E-03 2.13357E-03 0.022792 7 4 30.0 45.0 135.0 1.62601E-02 1.28581E-03 3.70372E-04 1.65618E-03 2.12831E-03 0.022778 7 7 30.0 90.0 90.0 1.94302E-02 1.30720E-03 4.42497E-04 1.74970E-03 2.16372E-03 0.022774 6 1 40.0 0.0 180.0 1.77718E-02 1.32258E-03 4.72666E-04 1.79525E-03 2.18918E-03 0.026596 6 4 40.0 45.0 135.0 1.76611E-02 1.31613E-03 4.68830E-04 1.78496E-03 2.17849E-03 0.026546 6 7 40.0 90.0 90.0 2.06665E-02 1.34700E-03 5.45135E-04 1.89214E-03 2.22960E-03 0.026378 5 1 50.0 0.0 180.0 2.16612E-02 1.36639E-03 8.08424E-04 2.17482E-03 2.26170E-03 0.037321 5 4 50.0 45.0 135.0 2.06441E-02 1.35216E-03 7.68982E-04 2.12114E-03 2.23813E-03 0.037249 5 7 50.0 90.0 90.0 2.29520E-02 1.40711E-03 8.45677E-04 2.25278E-03 2.32909E-03 0.036846 4 1 60.0 0.0 180.0 2.88128E-02 1.37800E-03 1.97775E-03 3.35575E-03 2.28091E-03 0.068641 4 4 60.0 45.0 135.0 2.62881E-02 1.35885E-03 1.78928E-03 3.14813E-03 2.24921E-03 0.068064 4 7 60.0 90.0 90.0 2.70789E-02 1.44171E-03 1.81059E-03 3.25230E-03 2.38636E-03 0.066863 3 1 70.0 0.0 180.0 4.24296E-02 1.29896E-03 6.74352E-03 8.04249E-03 2.15008E-03 0.158935 3 4 70.0 45.0 135.0 3.72277E-02 1.29728E-03 5.84545E-03 7.14273E-03 2.14731E-03 0.157019 3 7 70.0 90.0 90.0 3.53441E-02 1.39063E-03 5.44637E-03 6.83701E-03 2.30182E-03 0.154096 2 1 80.0 0.0 180.0 7.23676E-02 1.07727E-03 2.35031E-02 2.45804E-02 1.78314E-03 0.324775 2 4 80.0 45.0 135.0 6.17009E-02 1.06238E-03 2.02528E-02 2.13151E-02 1.75849E-03 0.328241 2 7 80.0 90.0 90.0 5.38522E-02 1.16985E-03 1.79720E-02 1.91419E-02 1.93637E-03 0.333729 1 1 87.5 0.0 180.0 1.13972E-01 8.05565E-04 4.95857E-02 5.03913E-02 1.33340E-03 0.435070 1 4 87.5 45.0 135.0 9.58270E-02 7.74838E-04 4.40869E-02 4.48618E-02 1.28254E-03 0.460068 1 7 87.5 90.0 90.0 7.90640E-02 8.59307E-04 3.86169E-02 3.94762E-02 1.42235E-03 0.488426 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 1.637E-03 1.852E-02 8.218E-02 5.927E-02 2.771E-01 2.710E-03 3.064E+01 1.232E-03 2.039E-03 1 0.00 0.00 2.277E-03 3.327E-02 5.355E-03 7.440E-03 2.071E-02 4.023E-03 5.209E+00 3 2.96 1.00 1.060E-03 3.620E-02 2.823E-03 4.440E-03 1.515E-02 4.463E-03 5.373E+00 5 5.92 2.00 5.415E-04 2.591E-02 1.353E-03 2.111E-03 6.084E-03 5.584E-03 4.733E+00 7 8.88 3.00 4.039E-04 1.555E-02 6.423E-04 9.535E-04 2.227E-03 1.010E-02 3.448E+00 9 11.84 4.00 5.035E-04 8.449E-03 3.329E-04 4.535E-04 8.456E-04 2.996E-02 2.637E+00 12 14.80 5.00 8.287E-04 4.326E-03 5.918E-04 6.154E-04 6.819E-04 1.140E-01 3.142E+00 Waveband 30 of 30 completed in 1.9 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 1.552E+01 1.650E+01 1.585E+01 1.636E+01 1.936E+01 2.078E+01 2.075E+01 2.112E+01 2.050E+01 2.086E+01 2.050E+01 1.976E+01 2.021E+01 2.043E+01 2.017E+01 2.001E+01 1.980E+01 1.975E+01 1.916E+01 1.820E+01 1.877E+01 1.838E+01 1.817E+01 1.799E+01 1.742E+01 1.664E+01 1.747E+01 1.720E+01 1.552E+01 1.488E+01 0.0 7.157E+00 7.741E+00 7.572E+00 7.975E+00 9.649E+00 1.059E+01 1.083E+01 1.125E+01 1.116E+01 1.161E+01 1.164E+01 1.136E+01 1.186E+01 1.220E+01 1.223E+01 1.223E+01 1.226E+01 1.221E+01 1.153E+01 1.049E+01 1.035E+01 1.013E+01 9.977E+00 9.841E+00 9.479E+00 8.955E+00 9.297E+00 9.158E+00 8.261E+00 7.861E+00 1.0 2.369E+00 2.900E+00 3.194E+00 3.775E+00 5.079E+00 6.102E+00 6.719E+00 7.368E+00 7.681E+00 8.332E+00 8.632E+00 8.566E+00 9.194E+00 9.666E+00 9.847E+00 9.916E+00 1.007E+01 1.000E+01 9.160E+00 7.781E+00 6.830E+00 6.632E+00 6.421E+00 6.199E+00 5.794E+00 5.118E+00 4.854E+00 4.647E+00 4.043E+00 3.546E+00 2.0 7.073E-01 9.746E-01 1.203E+00 1.591E+00 2.377E+00 3.126E+00 3.715E+00 4.310E+00 4.735E+00 5.375E+00 5.774E+00 5.841E+00 6.471E+00 6.977E+00 7.251E+00 7.372E+00 7.609E+00 7.543E+00 6.675E+00 5.259E+00 4.080E+00 3.933E+00 3.745E+00 3.539E+00 3.210E+00 2.650E+00 2.298E+00 2.141E+00 1.800E+00 1.457E+00 3.0 2.143E-01 3.299E-01 4.535E-01 6.670E-01 1.101E+00 1.578E+00 2.018E+00 2.473E+00 2.858E+00 3.389E+00 3.772E+00 3.890E+00 4.448E+00 4.918E+00 5.215E+00 5.356E+00 5.621E+00 5.567E+00 4.769E+00 3.494E+00 2.403E+00 2.299E+00 2.152E+00 1.991E+00 1.754E+00 1.355E+00 1.075E+00 9.766E-01 7.958E-01 5.972E-01 4.0 6.744E-02 1.159E-01 1.769E-01 2.888E-01 5.255E-01 8.199E-01 1.126E+00 1.454E+00 1.764E+00 2.180E+00 2.510E+00 2.640E+00 3.112E+00 3.527E+00 3.815E+00 3.962E+00 4.227E+00 4.189E+00 3.493E+00 2.403E+00 1.478E+00 1.403E+00 1.292E+00 1.170E+00 1.002E+00 7.246E-01 5.245E-01 4.637E-01 3.681E-01 2.588E-01 5.0 2.550E-02 4.857E-02 8.120E-02 1.449E-01 2.860E-01 4.790E-01 6.955E-01 9.366E-01 1.178E+00 1.501E+00 1.775E+00 1.905E+00 2.305E+00 2.668E+00 2.941E+00 3.099E+00 3.360E+00 3.350E+00 2.777E+00 1.867E+00 1.088E+00 1.025E+00 9.325E-01 8.326E-01 7.023E-01 4.833E-01 3.185E-01 2.708E-01 2.146E-01 1.536E-01 Quantum Eo as a function of depth and wavelength Units are (micromol photons)/(m^2 s) [values are integrated over the wavelength bands] depth 405.0 415.0 425.0 435.0 445.0 455.0 465.0 475.0 485.0 495.0 505.0 515.0 525.0 535.0 545.0 555.0 565.0 575.0 585.0 595.0 605.0 615.0 625.0 635.0 645.0 655.0 665.0 675.0 685.0 695.0 in air 5.252E+01 5.723E+01 5.630E+01 5.947E+01 7.201E+01 7.903E+01 8.066E+01 8.385E+01 8.308E+01 8.632E+01 8.654E+01 8.507E+01 8.869E+01 9.137E+01 9.189E+01 9.284E+01 9.349E+01 9.493E+01 9.370E+01 9.051E+01 9.489E+01 9.448E+01 9.489E+01 9.549E+01 9.393E+01 9.112E+01 9.710E+01 9.705E+01 8.885E+01 8.642E+01 0.0 2.423E+01 2.685E+01 2.690E+01 2.900E+01 3.589E+01 4.029E+01 4.208E+01 4.465E+01 4.523E+01 4.802E+01 4.912E+01 4.889E+01 5.203E+01 5.456E+01 5.570E+01 5.672E+01 5.790E+01 5.868E+01 5.638E+01 5.219E+01 5.234E+01 5.207E+01 5.212E+01 5.223E+01 5.110E+01 4.902E+01 5.168E+01 5.167E+01 4.730E+01 4.566E+01 1.0 8.020E+00 1.006E+01 1.134E+01 1.373E+01 1.889E+01 2.320E+01 2.611E+01 2.925E+01 3.113E+01 3.447E+01 3.643E+01 3.687E+01 4.034E+01 4.322E+01 4.486E+01 4.600E+01 4.756E+01 4.808E+01 4.479E+01 3.870E+01 3.453E+01 3.409E+01 3.354E+01 3.290E+01 3.123E+01 2.802E+01 2.698E+01 2.621E+01 2.315E+01 2.060E+01 2.0 2.394E+00 3.380E+00 4.273E+00 5.785E+00 8.841E+00 1.189E+01 1.444E+01 1.711E+01 1.920E+01 2.224E+01 2.437E+01 2.514E+01 2.839E+01 3.120E+01 3.303E+01 3.419E+01 3.593E+01 3.625E+01 3.264E+01 2.616E+01 2.063E+01 2.022E+01 1.956E+01 1.878E+01 1.731E+01 1.451E+01 1.277E+01 1.208E+01 1.030E+01 8.463E+00 3.0 7.252E-01 1.144E+00 1.611E+00 2.425E+00 4.094E+00 6.001E+00 7.843E+00 9.818E+00 1.158E+01 1.402E+01 1.592E+01 1.674E+01 1.952E+01 2.199E+01 2.376E+01 2.485E+01 2.654E+01 2.675E+01 2.332E+01 1.738E+01 1.215E+01 1.181E+01 1.124E+01 1.057E+01 9.456E+00 7.417E+00 5.976E+00 5.510E+00 4.556E+00 3.469E+00 4.0 2.283E-01 4.018E-01 6.285E-01 1.050E+00 1.955E+00 3.118E+00 4.375E+00 5.773E+00 7.149E+00 9.020E+00 1.060E+01 1.136E+01 1.365E+01 1.577E+01 1.738E+01 1.838E+01 1.996E+01 2.013E+01 1.708E+01 1.195E+01 7.474E+00 7.211E+00 6.747E+00 6.212E+00 5.404E+00 3.967E+00 2.915E+00 2.616E+00 2.108E+00 1.503E+00 5.0 8.632E-02 1.685E-01 2.884E-01 5.268E-01 1.064E+00 1.822E+00 2.703E+00 3.718E+00 4.774E+00 6.210E+00 7.492E+00 8.198E+00 1.011E+01 1.193E+01 1.340E+01 1.437E+01 1.587E+01 1.610E+01 1.358E+01 9.287E+00 5.500E+00 5.268E+00 4.871E+00 4.419E+00 3.786E+00 2.646E+00 1.771E+00 1.528E+00 1.229E+00 8.920E-01 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 2.5537E+03 9.8728E+02 0.00 1.4105E+03 9.3963E+02 1.00 9.2432E+02 5.5438E+02 2.00 5.7147E+02 3.2946E+02 3.00 3.5819E+02 2.0116E+02 4.00 2.3612E+02 1.2653E+02 5.00 1.7360E+02 8.2045E+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 0.40036 1.000 1.010 1.005 0.47006 2.000 2.010 2.005 0.48109 3.000 3.010 3.005 0.44745 4.000 4.010 4.005 0.37767 4.990 5.000 4.995 0.17896 CIE 1931 chromaticity coordinates (x,y) and (il)luminance Y for selected quantities. Output is (x,y,Y). Y is illuminance in lm/m^2 for Ed and Eu. Y is luminance in lm/(m^2 sr) for Lu and Lw. Y is not defined for Rrs depth Ed Eu Lu Lw Rrs in air (0.332, 0.344, 5.500E+04) (0.329, 0.364, 5.981E+03) (0.335, 0.435, 5.336E+02) (0.340, 0.454, 4.840E+02) (0.343, 0.448, 0.000E+00) 0.00 (0.333, 0.348, 5.306E+04) (0.336, 0.441, 4.046E+03) (0.340, 0.454, 8.947E+02) 1.00 (0.342, 0.388, 3.642E+04) (0.345, 0.473, 3.258E+03) (0.352, 0.488, 7.254E+02) 2.00 (0.348, 0.424, 2.448E+04) (0.355, 0.502, 2.534E+03) (0.365, 0.513, 6.241E+02) 3.00 (0.353, 0.455, 1.649E+04) (0.366, 0.521, 2.110E+03) (0.377, 0.523, 5.969E+02) 4.00 (0.357, 0.481, 1.121E+04) (0.378, 0.525, 2.011E+03) (0.385, 0.521, 6.337E+02) 5.00 (0.360, 0.502, 7.744E+03) (0.391, 0.511, 2.270E+03) (0.391, 0.511, 7.225E+02) The Forel-Ule number of the nadir-viewing Rrs is FU = 9 The Forel-Ule number of the nadir-viewing, in-air Lu is FU = 9 The Forel-Ule number of the nadir-viewing Lw is FU = 9 The final depth-averaged photopic alpha and K are alpha = 2.9744 1/m and K = 0.3807 1/m The final estimate for the Secchi depth is z_SD = 2.38 m Run completed on 07/18/2013 at 16:59:04.8 Total (wall clock) run time = 54.4 sec