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| |
| 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. |
| |
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RUN TITLE: R1 (07/18/2013 17:01)
Run started on 07/18/2013 at 17:01:40.3
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 0.0050
The chlorophyll concentration is constant with depth with a value of 2.30 (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 0.0898 0.7971
3 4.008 1.000 0.0053 0.7918 0.5900 0.0898 0.7971
5 8.016 2.000 0.0053 0.7918 0.5900 0.0898 0.7971
7 12.024 3.000 0.0053 0.7918 0.5900 0.0898 0.7971
9 16.032 4.000 0.0053 0.7918 0.5900 0.0898 0.7971
12 20.040 5.000 0.0053 0.7918 0.5900 0.0898 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 0.01602 0.00000 0.00000 0.01961
3 4.008 1.000 0.00359 0.01602 0.00000 0.00000 0.01961
5 8.016 2.000 0.00359 0.01602 0.00000 0.00000 0.01961
7 12.024 3.000 0.00359 0.01602 0.00000 0.00000 0.01961
9 16.032 4.000 0.00359 0.01602 0.00000 0.00000 0.01961
12 20.040 5.000 0.00359 0.01602 0.00000 0.00000 0.01961
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 0.01961 0.00611
3 4.008 1.000 0.7971 3.2110 4.0081 0.8011 0.01961 0.00611
5 8.016 2.000 0.7971 3.2110 4.0081 0.8011 0.01961 0.00611
7 12.024 3.000 0.7971 3.2110 4.0081 0.8011 0.01961 0.00611
9 16.032 4.000 0.7971 3.2110 4.0081 0.8011 0.01961 0.00611
12 20.040 5.000 0.7971 3.2110 4.0081 0.8011 0.01961 0.00611
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 2.2492E-01 1.3230E+00 1.5479E+00 4.9916E-02 5.6180E-01 0.2219 0.4246 0.3307 8.8850E-02
1 0.00 0.00 1.5604E-02 6.7644E-01 6.9204E-01 5.7352E-03 5.1760E-01 0.3675 0.7652 0.7396 1.1080E-02
3 4.01 1.00 5.9622E-03 2.3254E-01 2.3851E-01 2.0437E-03 1.6994E-01 0.3428 0.7308 0.7040 1.2026E-02
5 8.02 2.00 1.9327E-03 7.4521E-02 7.6454E-02 6.6296E-04 5.4871E-02 0.3430 0.7363 0.7090 1.2082E-02
7 12.02 3.00 6.4508E-04 2.4012E-02 2.4657E-02 2.3583E-04 1.8022E-02 0.3656 0.7506 0.7214 1.3085E-02
9 16.03 4.00 3.1665E-04 7.9171E-03 8.2338E-03 1.5217E-04 6.0532E-03 0.4806 0.7646 0.7167 2.5138E-02
12 20.04 5.00 6.6794E-04 2.6952E-03 3.3631E-03 3.3397E-04 2.0778E-03 0.5000 0.7709 0.5185 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 0.75844 0.97163 0.96682 0.88737 1.07615 1.07827 1.03648
1.000 1.010 1.005 1.09342 1.12528 1.12448 1.11290 1.13213 1.13237 1.11395
2.000 2.010 2.005 1.13689 1.14067 1.14057 1.11603 1.12402 1.12411 1.01368
3.000 3.010 3.005 1.01212 1.12178 1.11891 0.87391 1.10189 1.10492 0.47023
4.000 4.010 4.005 0.20227 1.09654 1.06200 -0.16417 1.08016 1.11245 -0.43393
4.990 5.000 4.995 -3.21122 1.00193 0.17918 -1.47788 1.04984 1.52672 -0.74327
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 5.96006E-04 8.09497E-04 1.40550E-03 1.06089E-03 0.021894
9 1 10.0 0.0 180.0 3.18929E-02 6.09359E-04 6.84753E-04 1.29411E-03 1.08466E-03 0.021470
9 4 10.0 45.0 135.0 3.30452E-02 6.05149E-04 7.15863E-04 1.32101E-03 1.07716E-03 0.021663
9 7 10.0 90.0 90.0 3.69884E-02 6.01345E-04 8.05066E-04 1.40641E-03 1.07039E-03 0.021765
8 1 20.0 0.0 180.0 3.06264E-02 6.22078E-04 6.65656E-04 1.28773E-03 1.10730E-03 0.021735
8 4 20.0 45.0 135.0 3.18647E-02 6.13304E-04 6.90979E-04 1.30428E-03 1.09168E-03 0.021685
8 7 20.0 90.0 90.0 3.75337E-02 6.10668E-04 8.20403E-04 1.43107E-03 1.08699E-03 0.021858
7 1 30.0 0.0 180.0 3.16539E-02 6.41229E-04 7.21470E-04 1.36270E-03 1.14139E-03 0.022792
7 4 30.0 45.0 135.0 3.24543E-02 6.34394E-04 7.39244E-04 1.37364E-03 1.12922E-03 0.022778
7 7 30.0 90.0 90.0 3.87817E-02 6.30015E-04 8.83204E-04 1.51322E-03 1.12143E-03 0.022774
6 1 40.0 0.0 180.0 3.54716E-02 6.62921E-04 9.43432E-04 1.60635E-03 1.18000E-03 0.026597
6 4 40.0 45.0 135.0 3.52506E-02 6.52818E-04 9.35766E-04 1.58858E-03 1.16201E-03 0.026546
6 7 40.0 90.0 90.0 4.12494E-02 6.47380E-04 1.08810E-03 1.73548E-03 1.15233E-03 0.026378
5 1 50.0 0.0 180.0 4.32348E-02 6.88334E-04 1.61357E-03 2.30191E-03 1.22523E-03 0.037321
5 4 50.0 45.0 135.0 4.12047E-02 6.73243E-04 1.53480E-03 2.20804E-03 1.19837E-03 0.037248
5 7 50.0 90.0 90.0 4.58110E-02 6.75491E-04 1.68832E-03 2.36381E-03 1.20237E-03 0.036854
4 1 60.0 0.0 180.0 5.75089E-02 6.97920E-04 3.94725E-03 4.64517E-03 1.24230E-03 0.068637
4 4 60.0 45.0 135.0 5.24529E-02 6.79372E-04 3.57109E-03 4.25046E-03 1.20928E-03 0.068082
4 7 60.0 90.0 90.0 5.41517E-02 6.91442E-04 3.61523E-03 4.30667E-03 1.23076E-03 0.066761
3 1 70.0 0.0 180.0 8.46874E-02 6.61913E-04 1.34601E-02 1.41220E-02 1.17820E-03 0.158938
3 4 70.0 45.0 135.0 7.43046E-02 6.51951E-04 1.16671E-02 1.23190E-02 1.16047E-03 0.157017
3 7 70.0 90.0 90.0 7.05452E-02 6.67790E-04 1.08726E-02 1.15404E-02 1.18866E-03 0.154122
2 1 80.0 0.0 180.0 1.44442E-01 5.52267E-04 4.69108E-02 4.74630E-02 9.83034E-04 0.324772
2 4 80.0 45.0 135.0 1.23152E-01 5.36646E-04 4.04234E-02 4.09600E-02 9.55228E-04 0.328240
2 7 80.0 90.0 90.0 1.07486E-01 5.62532E-04 3.58725E-02 3.64350E-02 1.00131E-03 0.333740
1 1 87.5 0.0 180.0 2.27482E-01 4.14693E-04 9.89707E-02 9.93854E-02 7.38152E-04 0.435070
1 4 87.5 45.0 135.0 1.91266E-01 3.92856E-04 8.79953E-02 8.83882E-02 6.99283E-04 0.460068
1 7 87.5 90.0 90.0 1.57808E-01 4.13896E-04 7.70779E-02 7.74917E-02 7.36734E-04 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 1.406E-03 3.697E-02 1.634E-01 1.176E-01 4.792E-01 2.502E-03 3.551E+01 5.960E-04 1.061E-03
1 0.00 0.00 1.102E-03 6.633E-02 3.286E-03 4.114E-03 1.064E-02 2.128E-03 5.206E+00
3 4.01 1.00 3.699E-04 3.959E-02 1.357E-03 1.899E-03 5.846E-03 2.177E-03 5.525E+00
5 8.02 2.00 1.252E-04 1.997E-02 4.699E-04 6.703E-04 1.805E-03 2.282E-03 5.294E+00
7 12.02 3.00 5.619E-05 9.068E-03 1.605E-04 2.261E-04 5.111E-04 3.118E-03 4.197E+00
9 16.03 4.00 5.618E-05 3.839E-03 5.728E-05 7.776E-05 1.475E-04 9.280E-03 2.709E+00
12 20.04 5.00 1.063E-04 1.549E-03 7.430E-05 7.768E-05 8.751E-05 5.116E-02 3.142E+00
Waveband 1 of 30 completed in 2.1 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 0.1015 0.7084
3 3.881 1.000 0.0044 0.7040 0.5185 0.1015 0.7084
5 7.762 2.000 0.0044 0.7040 0.5185 0.1015 0.7084
7 11.643 3.000 0.0044 0.7040 0.5185 0.1015 0.7084
9 15.524 4.000 0.0044 0.7040 0.5185 0.1015 0.7084
12 19.405 5.000 0.0044 0.7040 0.5185 0.1015 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 0.01583 0.00000 0.00000 0.01906
3 3.881 1.000 0.00323 0.01583 0.00000 0.00000 0.01906
5 7.762 2.000 0.00323 0.01583 0.00000 0.00000 0.01906
7 11.643 3.000 0.00323 0.01583 0.00000 0.00000 0.01906
9 15.524 4.000 0.00323 0.01583 0.00000 0.00000 0.01906
12 19.405 5.000 0.00323 0.01583 0.00000 0.00000 0.01906
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 0.01906 0.00601
3 3.881 1.000 0.7084 3.1725 3.8809 0.8175 0.01906 0.00601
5 7.762 2.000 0.7084 3.1725 3.8809 0.8175 0.01906 0.00601
7 11.643 3.000 0.7084 3.1725 3.8809 0.8175 0.01906 0.00601
9 15.524 4.000 0.7084 3.1725 3.8809 0.8175 0.01906 0.00601
12 19.405 5.000 0.7084 3.1725 3.8809 0.8175 0.01906 0.00601
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 2.3637E-01 1.4091E+00 1.6455E+00 5.3302E-02 6.0184E-01 0.2255 0.4271 0.3334 8.8566E-02
1 0.00 0.00 1.8530E-02 7.2729E-01 7.4582E-01 6.8250E-03 5.5534E-01 0.3683 0.7636 0.7355 1.2290E-02
3 3.88 1.00 8.0322E-03 2.8209E-01 2.9012E-01 2.7533E-03 2.0487E-01 0.3428 0.7263 0.6967 1.3439E-02
5 7.76 2.00 2.9543E-03 1.0163E-01 1.0459E-01 1.0147E-03 7.4072E-02 0.3435 0.7288 0.6985 1.3699E-02
7 11.64 3.00 1.1264E-03 3.6566E-02 3.7693E-02 4.1901E-04 2.7106E-02 0.3720 0.7413 0.7080 1.5458E-02
9 15.52 4.00 6.3846E-04 1.3399E-02 1.4037E-02 3.1183E-04 1.0109E-02 0.4884 0.7544 0.6979 3.0848E-02
12 19.40 5.00 1.2934E-03 5.0580E-03 6.3514E-03 6.4669E-04 3.8452E-03 0.5000 0.7602 0.5036 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 0.64854 0.85730 0.85211 0.77299 0.96128 0.96362 0.91902
1.000 1.010 1.005 0.96514 1.00481 1.00371 0.98692 1.01647 1.01688 0.98355
2.000 2.010 2.005 1.01094 1.02719 1.02673 0.98327 1.01359 1.01401 0.84600
3.000 3.010 3.005 0.86676 1.01433 1.00991 0.70486 0.99587 1.00044 0.28686
4.000 4.010 4.005 0.10012 0.99266 0.95189 -0.22394 0.97688 1.01534 -0.42639
4.990 5.000 4.995 -2.84082 0.90167 0.15083 -1.30625 0.94808 1.39776 -0.65845
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 7.04373E-04 8.33094E-04 1.53747E-03 1.17038E-03 0.021894
9 1 10.0 0.0 180.0 3.28225E-02 7.18631E-04 7.04713E-04 1.42334E-03 1.19407E-03 0.021470
9 4 10.0 45.0 135.0 3.40085E-02 7.14131E-04 7.36731E-04 1.45086E-03 1.18659E-03 0.021663
9 7 10.0 90.0 90.0 3.80666E-02 7.10881E-04 8.28534E-04 1.53942E-03 1.18119E-03 0.021765
8 1 20.0 0.0 180.0 3.15191E-02 7.33013E-04 6.85060E-04 1.41807E-03 1.21796E-03 0.021735
8 4 20.0 45.0 135.0 3.27936E-02 7.23406E-04 7.11121E-04 1.43453E-03 1.20200E-03 0.021685
8 7 20.0 90.0 90.0 3.86278E-02 7.22309E-04 8.44318E-04 1.56663E-03 1.20018E-03 0.021858
7 1 30.0 0.0 180.0 3.25767E-02 7.55142E-04 7.42502E-04 1.49764E-03 1.25473E-03 0.022792
7 4 30.0 45.0 135.0 3.34004E-02 7.48077E-04 7.60793E-04 1.50887E-03 1.24299E-03 0.022778
7 7 30.0 90.0 90.0 3.99122E-02 7.45700E-04 9.08949E-04 1.65465E-03 1.23904E-03 0.022774
6 1 40.0 0.0 180.0 3.65056E-02 7.80400E-04 9.70933E-04 1.75133E-03 1.29670E-03 0.026597
6 4 40.0 45.0 135.0 3.62782E-02 7.69828E-04 9.63044E-04 1.73287E-03 1.27913E-03 0.026546
6 7 40.0 90.0 90.0 4.24518E-02 7.67326E-04 1.11981E-03 1.88714E-03 1.27498E-03 0.026378
5 1 50.0 0.0 180.0 4.44951E-02 8.10333E-04 1.66061E-03 2.47094E-03 1.34644E-03 0.037321
5 4 50.0 45.0 135.0 4.24058E-02 7.94119E-04 1.57954E-03 2.37366E-03 1.31950E-03 0.037248
5 7 50.0 90.0 90.0 4.71464E-02 8.01537E-04 1.73752E-03 2.53905E-03 1.33182E-03 0.036854
4 1 60.0 0.0 180.0 5.91853E-02 8.21668E-04 4.06232E-03 4.88399E-03 1.36527E-03 0.068637
4 4 60.0 45.0 135.0 5.39825E-02 8.01592E-04 3.67519E-03 4.47679E-03 1.33191E-03 0.068081
4 7 60.0 90.0 90.0 5.57264E-02 8.21414E-04 3.72056E-03 4.54198E-03 1.36485E-03 0.066765
3 1 70.0 0.0 180.0 8.71560E-02 7.79391E-04 1.38524E-02 1.46318E-02 1.29502E-03 0.158938
3 4 70.0 45.0 135.0 7.64706E-02 7.69493E-04 1.20072E-02 1.27767E-02 1.27858E-03 0.157017
3 7 70.0 90.0 90.0 7.26016E-02 7.94099E-04 1.11894E-02 1.19835E-02 1.31946E-03 0.154121
2 1 80.0 0.0 180.0 1.48653E-01 6.50374E-04 4.82782E-02 4.89286E-02 1.08065E-03 0.324772
2 4 80.0 45.0 135.0 1.26742E-01 6.33599E-04 4.16017E-02 4.22353E-02 1.05278E-03 0.328240
2 7 80.0 90.0 90.0 1.10620E-01 6.69530E-04 3.69182E-02 3.75877E-02 1.11248E-03 0.333740
1 1 87.5 0.0 180.0 2.34113E-01 4.88372E-04 1.01856E-01 1.02344E-01 8.11471E-04 0.435070
1 4 87.5 45.0 135.0 1.96842E-01 4.63874E-04 9.05604E-02 9.10243E-02 7.70765E-04 0.460068
1 7 87.5 90.0 90.0 1.62408E-01 4.92789E-04 7.93247E-02 7.98175E-02 8.18810E-04 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 1.537E-03 3.805E-02 1.682E-01 1.211E-01 4.959E-01 2.555E-03 3.467E+01 7.044E-04 1.170E-03
1 0.00 0.00 1.302E-03 6.826E-02 3.803E-03 4.817E-03 1.250E-02 2.344E-03 5.242E+00
3 3.88 1.00 4.950E-04 4.519E-02 1.774E-03 2.513E-03 7.903E-03 2.416E-03 5.563E+00
5 7.76 2.00 1.938E-04 2.531E-02 6.964E-04 1.007E-03 2.798E-03 2.616E-03 5.237E+00
7 11.64 3.00 1.050E-04 1.276E-02 2.671E-04 3.825E-04 8.964E-04 3.872E-03 3.992E+00
9 15.52 4.00 1.154E-04 5.998E-03 1.072E-04 1.478E-04 2.901E-04 1.142E-02 2.702E+00
12 19.40 5.00 2.058E-04 2.685E-03 1.462E-04 1.537E-04 1.761E-04 5.353E-02 3.142E+00
Waveband 2 of 30 completed in 1.9 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 0.1080 0.6240
3 3.769 1.000 0.0048 0.6192 0.4482 0.1080 0.6240
5 7.538 2.000 0.0048 0.6192 0.4482 0.1080 0.6240
7 11.308 3.000 0.0048 0.6192 0.4482 0.1080 0.6240
9 15.077 4.000 0.0048 0.6192 0.4482 0.1080 0.6240
12 18.846 5.000 0.0048 0.6192 0.4482 0.1080 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 0.01570 0.00000 0.00000 0.01861
3 3.769 1.000 0.00291 0.01570 0.00000 0.00000 0.01861
5 7.538 2.000 0.00291 0.01570 0.00000 0.00000 0.01861
7 11.308 3.000 0.00291 0.01570 0.00000 0.00000 0.01861
9 15.077 4.000 0.00291 0.01570 0.00000 0.00000 0.01861
12 18.846 5.000 0.00291 0.01570 0.00000 0.00000 0.01861
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 0.01861 0.00592
3 3.769 1.000 0.6240 3.1452 3.7692 0.8345 0.01861 0.00592
5 7.538 2.000 0.6240 3.1452 3.7692 0.8345 0.01861 0.00592
7 11.308 3.000 0.6240 3.1452 3.7692 0.8345 0.01861 0.00592
9 15.077 4.000 0.6240 3.1452 3.7692 0.8345 0.01861 0.00592
12 18.846 5.000 0.6240 3.1452 3.7692 0.8345 0.01861 0.00592
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 2.2474E-01 1.3553E+00 1.5800E+00 5.1485E-02 5.8191E-01 0.2291 0.4294 0.3357 8.8476E-02
1 0.00 0.00 2.0158E-02 7.0609E-01 7.2625E-01 7.4515E-03 5.3786E-01 0.3697 0.7618 0.7303 1.3854E-02
3 3.77 1.00 9.8574E-03 3.0741E-01 3.1726E-01 3.3874E-03 2.2180E-01 0.3436 0.7215 0.6884 1.5272E-02
5 7.54 2.00 4.1028E-03 1.2399E-01 1.2809E-01 1.4168E-03 8.9404E-02 0.3453 0.7211 0.6869 1.5847E-02
7 11.31 3.00 1.7818E-03 4.9633E-02 5.1415E-02 6.7569E-04 3.6311E-02 0.3792 0.7316 0.6931 1.8608E-02
9 15.08 4.00 1.1347E-03 2.0140E-02 2.1275E-02 5.5731E-04 1.4977E-02 0.4911 0.7436 0.6778 3.7212E-02
12 18.85 5.00 2.1388E-03 8.3945E-03 1.0533E-02 1.0694E-03 6.2870E-03 0.5000 0.7489 0.4953 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 0.54876 0.74928 0.74370 0.66534 0.85194 0.85456 0.80525
1.000 1.010 1.005 0.84094 0.88901 0.88752 0.86387 0.90558 0.90623 0.85114
2.000 2.010 2.005 0.88650 0.91756 0.91656 0.85031 0.90722 0.90814 0.67876
3.000 3.010 3.005 0.72997 0.91037 0.90411 0.55453 0.89364 0.90008 0.15316
4.000 4.010 4.005 0.04229 0.89228 0.84677 -0.23972 0.87738 0.92081 -0.39508
4.990 5.000 4.995 -2.44409 0.80919 0.15711 -1.13199 0.85091 1.25252 -0.57494
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 7.65420E-04 7.75774E-04 1.54119E-03 1.31535E-03 0.021894
9 1 10.0 0.0 180.0 3.05642E-02 7.78922E-04 6.56226E-04 1.43515E-03 1.33855E-03 0.021470
9 4 10.0 45.0 135.0 3.16685E-02 7.74647E-04 6.86040E-04 1.46069E-03 1.33121E-03 0.021663
9 7 10.0 90.0 90.0 3.54474E-02 7.72672E-04 7.71527E-04 1.54420E-03 1.32781E-03 0.021765
8 1 20.0 0.0 180.0 2.93505E-02 7.93588E-04 6.37925E-04 1.43151E-03 1.36376E-03 0.021735
8 4 20.0 45.0 135.0 3.05372E-02 7.84146E-04 6.62193E-04 1.44634E-03 1.34753E-03 0.021685
8 7 20.0 90.0 90.0 3.59700E-02 7.85476E-04 7.86225E-04 1.57170E-03 1.34982E-03 0.021858
7 1 30.0 0.0 180.0 3.03352E-02 8.16830E-04 6.91414E-04 1.50824E-03 1.40370E-03 0.022792
7 4 30.0 45.0 135.0 3.11023E-02 8.10489E-04 7.08447E-04 1.51894E-03 1.39280E-03 0.022778
7 7 30.0 90.0 90.0 3.71660E-02 8.11396E-04 8.46409E-04 1.65780E-03 1.39436E-03 0.022774
6 1 40.0 0.0 180.0 3.39939E-02 8.43492E-04 9.04128E-04 1.74762E-03 1.44952E-03 0.026597
6 4 40.0 45.0 135.0 3.37821E-02 8.33826E-04 8.96782E-04 1.73061E-03 1.43291E-03 0.026546
6 7 40.0 90.0 90.0 3.95310E-02 8.35967E-04 1.04276E-03 1.87873E-03 1.43658E-03 0.026378
5 1 50.0 0.0 180.0 4.14336E-02 8.75678E-04 1.54635E-03 2.42203E-03 1.50483E-03 0.037321
5 4 50.0 45.0 135.0 3.94881E-02 8.60223E-04 1.47086E-03 2.33109E-03 1.47827E-03 0.037248
5 7 50.0 90.0 90.0 4.39025E-02 8.74112E-04 1.61796E-03 2.49207E-03 1.50214E-03 0.036853
4 1 60.0 0.0 180.0 5.51131E-02 8.87795E-04 3.78282E-03 4.67062E-03 1.52565E-03 0.068637
4 4 60.0 45.0 135.0 5.02688E-02 8.68445E-04 3.42233E-03 4.29078E-03 1.49240E-03 0.068081
4 7 60.0 90.0 90.0 5.18887E-02 8.96715E-04 3.46453E-03 4.36124E-03 1.54098E-03 0.066768
3 1 70.0 0.0 180.0 8.11593E-02 8.42139E-04 1.28993E-02 1.37415E-02 1.44719E-03 0.158938
3 4 70.0 45.0 135.0 7.12091E-02 8.33866E-04 1.11810E-02 1.20149E-02 1.43297E-03 0.157017
3 7 70.0 90.0 90.0 6.76063E-02 8.67633E-04 1.04195E-02 1.12871E-02 1.49100E-03 0.154120
2 1 80.0 0.0 180.0 1.38425E-01 7.02754E-04 4.49565E-02 4.56592E-02 1.20766E-03 0.324772
2 4 80.0 45.0 135.0 1.18021E-01 6.86758E-04 3.87393E-02 3.94261E-02 1.18017E-03 0.328240
2 7 80.0 90.0 90.0 1.03008E-01 7.32085E-04 3.43780E-02 3.51101E-02 1.25807E-03 0.333739
1 1 87.5 0.0 180.0 2.18005E-01 5.27687E-04 9.48476E-02 9.53753E-02 9.06815E-04 0.435070
1 4 87.5 45.0 135.0 1.83298E-01 5.02811E-04 8.43294E-02 8.48322E-02 8.64066E-04 0.460068
1 7 87.5 90.0 90.0 1.51234E-01 5.38966E-04 7.38668E-02 7.44057E-02 9.26197E-04 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 1.541E-03 3.543E-02 1.567E-01 1.128E-01 4.643E-01 2.648E-03 3.341E+01 7.654E-04 1.315E-03
1 0.00 0.00 1.415E-03 6.357E-02 4.033E-03 5.167E-03 1.341E-02 2.630E-03 5.267E+00
3 3.77 1.00 6.083E-04 4.649E-02 2.109E-03 3.019E-03 9.652E-03 2.743E-03 5.568E+00
5 7.54 2.00 2.762E-04 2.878E-02 9.344E-04 1.369E-03 3.901E-03 3.089E-03 5.130E+00
7 11.31 3.00 1.766E-04 1.603E-02 4.013E-04 5.833E-04 1.410E-03 4.864E-03 3.826E+00
9 15.08 4.00 2.041E-04 8.320E-03 1.805E-04 2.523E-04 5.104E-04 1.363E-02 2.731E+00
12 18.85 5.00 3.404E-04 4.112E-03 2.478E-04 2.624E-04 3.075E-04 5.414E-02 3.142E+00
Waveband 3 of 30 completed in 1.8 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 0.1151 0.5423
3 3.663 1.000 0.0053 0.5370 0.3844 0.1151 0.5423
5 7.325 2.000 0.0053 0.5370 0.3844 0.1151 0.5423
7 10.988 3.000 0.0053 0.5370 0.3844 0.1151 0.5423
9 14.650 4.000 0.0053 0.5370 0.3844 0.1151 0.5423
12 18.313 5.000 0.0053 0.5370 0.3844 0.1151 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 0.01557 0.00000 0.00000 0.01821
3 3.663 1.000 0.00264 0.01557 0.00000 0.00000 0.01821
5 7.325 2.000 0.00264 0.01557 0.00000 0.00000 0.01821
7 10.988 3.000 0.00264 0.01557 0.00000 0.00000 0.01821
9 14.650 4.000 0.00264 0.01557 0.00000 0.00000 0.01821
12 18.313 5.000 0.00264 0.01557 0.00000 0.00000 0.01821
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 0.01821 0.00584
3 3.663 1.000 0.5423 3.1203 3.6626 0.8519 0.01821 0.00584
5 7.325 2.000 0.5423 3.1203 3.6626 0.8519 0.01821 0.00584
7 10.988 3.000 0.5423 3.1203 3.6626 0.8519 0.01821 0.00584
9 14.650 4.000 0.5423 3.1203 3.6626 0.8519 0.01821 0.00584
12 18.313 5.000 0.5423 3.1203 3.6626 0.8519 0.01821 0.00584
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 2.2969E-01 1.4000E+00 1.6297E+00 5.3524E-02 6.0429E-01 0.2330 0.4316 0.3380 8.8573E-02
1 0.00 0.00 2.3947E-02 7.3681E-01 7.6076E-01 8.9018E-03 5.5966E-01 0.3717 0.7596 0.7240 1.5906E-02
3 3.66 1.00 1.3164E-02 3.5890E-01 3.7207E-01 4.5520E-03 2.5715E-01 0.3458 0.7165 0.6789 1.7702E-02
5 7.33 2.00 6.2042E-03 1.6171E-01 1.6791E-01 2.1671E-03 1.1528E-01 0.3493 0.7129 0.6736 1.8799E-02
7 10.99 3.00 3.0742E-03 7.1901E-02 7.4976E-02 1.1945E-03 5.1857E-02 0.3886 0.7212 0.6757 2.3035E-02
9 14.65 4.00 2.1797E-03 3.2260E-02 3.4439E-02 1.0751E-03 2.3612E-02 0.4932 0.7319 0.6544 4.5534E-02
12 18.31 5.00 3.8148E-03 1.4824E-02 1.8639E-02 1.9074E-03 1.0919E-02 0.5000 0.7366 0.4835 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 0.45613 0.64550 0.63953 0.56175 0.74607 0.74905 0.69083
1.000 1.010 1.005 0.71786 0.77577 0.77372 0.74011 0.79749 0.79852 0.71070
2.000 2.010 2.005 0.75963 0.80970 0.80785 0.71261 0.80302 0.80475 0.50836
3.000 3.010 3.005 0.59486 0.80797 0.79922 0.41271 0.79332 0.80232 0.04710
4.000 4.010 4.005 -0.00339 0.79348 0.74286 -0.24359 0.77976 0.82884 -0.35865
4.990 5.000 4.995 -2.05915 0.71797 0.15582 -0.96474 0.75562 1.11599 -0.49496
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 9.13839E-04 7.75025E-04 1.68886E-03 1.51224E-03 0.021894
9 1 10.0 0.0 180.0 3.05347E-02 9.27081E-04 6.55593E-04 1.58267E-03 1.53416E-03 0.021470
9 4 10.0 45.0 135.0 3.16380E-02 9.22826E-04 6.85378E-04 1.60820E-03 1.52711E-03 0.021663
9 7 10.0 90.0 90.0 3.54132E-02 9.22574E-04 7.70783E-04 1.69336E-03 1.52670E-03 0.021765
8 1 20.0 0.0 180.0 2.93221E-02 9.42970E-04 6.37309E-04 1.58028E-03 1.56045E-03 0.021735
8 4 20.0 45.0 135.0 3.05077E-02 9.33095E-04 6.61554E-04 1.59465E-03 1.54411E-03 0.021685
8 7 20.0 90.0 90.0 3.59353E-02 9.38087E-04 7.85466E-04 1.72355E-03 1.55237E-03 0.021858
7 1 30.0 0.0 180.0 3.03060E-02 9.69248E-04 6.90747E-04 1.66000E-03 1.60393E-03 0.022792
7 4 30.0 45.0 135.0 3.10723E-02 9.63561E-04 7.07763E-04 1.67132E-03 1.59452E-03 0.022778
7 7 30.0 90.0 90.0 3.71302E-02 9.69340E-04 8.45592E-04 1.81493E-03 1.60409E-03 0.022774
6 1 40.0 0.0 180.0 3.39611E-02 9.99304E-04 9.03255E-04 1.90256E-03 1.65367E-03 0.026597
6 4 40.0 45.0 135.0 3.37495E-02 9.90346E-04 8.95917E-04 1.88626E-03 1.63885E-03 0.026546
6 7 40.0 90.0 90.0 3.94928E-02 9.99396E-04 1.04176E-03 2.04115E-03 1.65382E-03 0.026378
5 1 50.0 0.0 180.0 4.13936E-02 1.03673E-03 1.54486E-03 2.58159E-03 1.71560E-03 0.037321
5 4 50.0 45.0 135.0 3.94500E-02 1.02135E-03 1.46944E-03 2.49080E-03 1.69016E-03 0.037248
5 7 50.0 90.0 90.0 4.38602E-02 1.04563E-03 1.61638E-03 2.66201E-03 1.73034E-03 0.036853
4 1 60.0 0.0 180.0 5.50599E-02 1.05039E-03 3.77918E-03 4.82957E-03 1.73821E-03 0.068638
4 4 60.0 45.0 135.0 5.02209E-02 1.03080E-03 3.41904E-03 4.44983E-03 1.70579E-03 0.068080
4 7 60.0 90.0 90.0 5.18350E-02 1.07335E-03 3.46113E-03 4.53448E-03 1.77620E-03 0.066772
3 1 70.0 0.0 180.0 8.10810E-02 9.96036E-04 1.28869E-02 1.38829E-02 1.64826E-03 0.158938
3 4 70.0 45.0 135.0 7.11403E-02 9.89643E-04 1.11703E-02 1.21599E-02 1.63768E-03 0.157017
3 7 70.0 90.0 90.0 6.75410E-02 1.03902E-03 1.04094E-02 1.14484E-02 1.71940E-03 0.154119
2 1 80.0 0.0 180.0 1.38291E-01 8.30914E-04 4.49131E-02 4.57440E-02 1.37502E-03 0.324772
2 4 80.0 45.0 135.0 1.17908E-01 8.14967E-04 3.87019E-02 3.95169E-02 1.34863E-03 0.328240
2 7 80.0 90.0 90.0 1.02909E-01 8.77058E-04 3.43448E-02 3.52218E-02 1.45138E-03 0.333739
1 1 87.5 0.0 180.0 2.17795E-01 6.23788E-04 9.47560E-02 9.53798E-02 1.03226E-03 0.435070
1 4 87.5 45.0 135.0 1.83121E-01 5.96596E-04 8.42480E-02 8.48446E-02 9.87260E-04 0.460068
1 7 87.5 90.0 90.0 1.51088E-01 6.45734E-04 7.37955E-02 7.44412E-02 1.06858E-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 1.689E-03 3.540E-02 1.566E-01 1.128E-01 4.665E-01 2.795E-03 3.169E+01 9.138E-04 1.512E-03
1 0.00 0.00 1.689E-03 6.352E-02 4.666E-03 6.045E-03 1.563E-02 3.018E-03 5.270E+00
3 3.66 1.00 8.248E-04 5.122E-02 2.716E-03 3.926E-03 1.271E-02 3.208E-03 5.519E+00
5 7.33 2.00 4.380E-04 3.495E-02 1.355E-03 2.010E-03 5.855E-03 3.799E-03 4.948E+00
7 10.99 3.00 3.262E-04 2.145E-02 6.516E-04 9.603E-04 2.385E-03 6.291E-03 3.662E+00
9 14.65 4.00 3.887E-04 1.226E-02 3.287E-04 4.650E-04 9.657E-04 1.646E-02 2.766E+00
12 18.31 5.00 6.072E-04 6.672E-03 4.533E-04 4.838E-04 5.809E-04 5.561E-02 3.142E+00
Waveband 4 of 30 completed in 1.7 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 0.1117 0.4675
3 3.572 1.000 0.0075 0.4600 0.3222 0.1117 0.4675
5 7.143 2.000 0.0075 0.4600 0.3222 0.1117 0.4675
7 10.715 3.000 0.0075 0.4600 0.3222 0.1117 0.4675
9 14.287 4.000 0.0075 0.4600 0.3222 0.1117 0.4675
12 17.858 5.000 0.0075 0.4600 0.3222 0.1117 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 0.01550 0.00000 0.00000 0.01789
3 3.572 1.000 0.00239 0.01550 0.00000 0.00000 0.01789
5 7.143 2.000 0.00239 0.01550 0.00000 0.00000 0.01789
7 10.715 3.000 0.00239 0.01550 0.00000 0.00000 0.01789
9 14.287 4.000 0.00239 0.01550 0.00000 0.00000 0.01789
12 17.858 5.000 0.00239 0.01550 0.00000 0.00000 0.01789
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 0.01789 0.00576
3 3.572 1.000 0.4675 3.1042 3.5717 0.8691 0.01789 0.00576
5 7.143 2.000 0.4675 3.1042 3.5717 0.8691 0.01789 0.00576
7 10.715 3.000 0.4675 3.1042 3.5717 0.8691 0.01789 0.00576
9 14.287 4.000 0.4675 3.1042 3.5717 0.8691 0.01789 0.00576
12 17.858 5.000 0.4675 3.1042 3.5717 0.8691 0.01789 0.00576
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 2.6989E-01 1.6579E+00 1.9278E+00 6.3963E-02 7.1889E-01 0.2370 0.4336 0.3397 8.8975E-02
1 0.00 0.00 3.3002E-02 8.8140E-01 9.1440E-01 1.2363E-02 6.6727E-01 0.3746 0.7571 0.7162 1.8528E-02
3 3.57 1.00 2.0213E-02 4.7606E-01 4.9628E-01 7.0644E-03 3.3863E-01 0.3495 0.7113 0.6681 2.0861E-02
5 7.14 2.00 1.0727E-02 2.3772E-01 2.4845E-01 3.8139E-03 1.6749E-01 0.3556 0.7045 0.6588 2.2772E-02
7 10.72 3.00 6.0194E-03 1.1657E-01 1.2259E-01 2.4014E-03 8.2844E-02 0.3989 0.7107 0.6562 2.8986E-02
9 14.29 4.00 4.6658E-03 5.7444E-02 6.2110E-02 2.3047E-03 4.1353E-02 0.4940 0.7199 0.6287 5.5733E-02
12 17.86 5.00 7.5737E-03 2.8915E-02 3.6489E-02 3.7869E-03 2.0924E-02 0.5000 0.7236 0.4697 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 0.37568 0.55159 0.54524 0.46643 0.64912 0.65258 0.57885
1.000 1.010 1.005 0.60179 0.67099 0.66818 0.62106 0.69780 0.69944 0.56938
2.000 2.010 2.005 0.63771 0.70933 0.70624 0.57943 0.70640 0.70936 0.35414
3.000 3.010 3.005 0.47259 0.71240 0.70061 0.29302 0.70008 0.71226 -0.02467
4.000 4.010 4.005 -0.03269 0.70120 0.64588 -0.23467 0.68898 0.74376 -0.31923
4.990 5.000 4.995 -1.69989 0.63354 0.15367 -0.81143 0.66717 0.99097 -0.42214
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 1.27651E-03 8.90555E-04 2.16707E-03 1.77567E-03 0.021894
9 1 10.0 0.0 180.0 3.50864E-02 1.29023E-03 7.53319E-04 2.04355E-03 1.79475E-03 0.021470
9 4 10.0 45.0 135.0 3.63541E-02 1.28562E-03 7.87544E-04 2.07317E-03 1.78835E-03 0.021663
9 7 10.0 90.0 90.0 4.06921E-02 1.28849E-03 8.85680E-04 2.17417E-03 1.79233E-03 0.021765
8 1 20.0 0.0 180.0 3.36931E-02 1.30928E-03 7.32310E-04 2.04159E-03 1.82125E-03 0.021735
8 4 20.0 45.0 135.0 3.50554E-02 1.29772E-03 7.60168E-04 2.05788E-03 1.80517E-03 0.021685
8 7 20.0 90.0 90.0 4.12920E-02 1.30988E-03 9.02552E-04 2.21243E-03 1.82209E-03 0.021858
7 1 30.0 0.0 180.0 3.48235E-02 1.34294E-03 7.93713E-04 2.13665E-03 1.86808E-03 0.022792
7 4 30.0 45.0 135.0 3.57041E-02 1.33802E-03 8.13267E-04 2.15129E-03 1.86123E-03 0.022778
7 7 30.0 90.0 90.0 4.26650E-02 1.35324E-03 9.71641E-04 2.32488E-03 1.88240E-03 0.022774
6 1 40.0 0.0 180.0 3.90235E-02 1.38069E-03 1.03790E-03 2.41859E-03 1.92059E-03 0.026597
6 4 40.0 45.0 135.0 3.87804E-02 1.37234E-03 1.02947E-03 2.40181E-03 1.90898E-03 0.026546
6 7 40.0 90.0 90.0 4.53798E-02 1.39479E-03 1.19705E-03 2.59183E-03 1.94020E-03 0.026378
5 1 50.0 0.0 180.0 4.75640E-02 1.43026E-03 1.77514E-03 3.20541E-03 1.98954E-03 0.037321
5 4 50.0 45.0 135.0 4.53307E-02 1.41377E-03 1.68849E-03 3.10226E-03 1.96660E-03 0.037248
5 7 50.0 90.0 90.0 5.03982E-02 1.45914E-03 1.85731E-03 3.31645E-03 2.02972E-03 0.036853
4 1 60.0 0.0 180.0 6.32675E-02 1.44695E-03 4.34254E-03 5.78949E-03 2.01277E-03 0.068638
4 4 60.0 45.0 135.0 5.77078E-02 1.42529E-03 3.92871E-03 5.35400E-03 1.98263E-03 0.068079
4 7 60.0 90.0 90.0 5.95578E-02 1.49763E-03 3.97702E-03 5.47465E-03 2.08326E-03 0.066776
3 1 70.0 0.0 180.0 9.31674E-02 1.37076E-03 1.48078E-02 1.61786E-02 1.90678E-03 0.158938
3 4 70.0 45.0 135.0 8.17449E-02 1.36740E-03 1.28354E-02 1.42028E-02 1.90211E-03 0.157017
3 7 70.0 90.0 90.0 7.76091E-02 1.44946E-03 1.19610E-02 1.34105E-02 2.01626E-03 0.154118
2 1 80.0 0.0 180.0 1.58906E-01 1.14248E-03 5.16081E-02 5.27506E-02 1.58923E-03 0.324772
2 4 80.0 45.0 135.0 1.35484E-01 1.12528E-03 4.44711E-02 4.55964E-02 1.56531E-03 0.328240
2 7 80.0 90.0 90.0 1.18249E-01 1.22328E-03 3.94643E-02 4.06876E-02 1.70163E-03 0.333738
1 1 87.5 0.0 180.0 2.50260E-01 8.57257E-04 1.08881E-01 1.09738E-01 1.19247E-03 0.435070
1 4 87.5 45.0 135.0 2.10418E-01 8.23411E-04 9.68065E-02 9.76299E-02 1.14539E-03 0.460068
1 7 87.5 90.0 90.0 1.73610E-01 9.00421E-04 8.47958E-02 8.56962E-02 1.25252E-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 2.167E-03 4.067E-02 1.800E-01 1.297E-01 5.390E-01 3.014E-03 2.952E+01 1.277E-03 1.776E-03
1 0.00 0.00 2.359E-03 7.299E-02 6.260E-03 8.200E-03 2.106E-02 3.536E-03 5.240E+00
3 3.57 1.00 1.308E-03 6.441E-02 4.007E-03 5.843E-03 1.904E-02 3.863E-03 5.401E+00
5 7.14 2.00 8.083E-04 4.807E-02 2.234E-03 3.349E-03 9.906E-03 4.826E-03 4.718E+00
7 10.72 3.00 6.809E-04 3.226E-02 1.195E-03 1.783E-03 4.517E-03 8.219E-03 3.527E+00
9 14.29 4.00 8.206E-04 2.014E-02 6.724E-04 9.601E-04 2.032E-03 1.984E-02 2.808E+00
12 17.86 5.00 1.205E-03 1.197E-02 9.245E-04 9.945E-04 1.223E-03 5.761E-02 3.142E+00
Waveband 5 of 30 completed in 1.8 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 0.1067 0.4046
3 3.486 1.000 0.0096 0.3950 0.2700 0.1067 0.4046
5 6.972 2.000 0.0096 0.3950 0.2700 0.1067 0.4046
7 10.458 3.000 0.0096 0.3950 0.2700 0.1067 0.4046
9 13.944 4.000 0.0096 0.3950 0.2700 0.1067 0.4046
12 17.430 5.000 0.0096 0.3950 0.2700 0.1067 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 0.01538 0.00000 0.00000 0.01756
3 3.486 1.000 0.00217 0.01538 0.00000 0.00000 0.01756
5 6.972 2.000 0.00217 0.01538 0.00000 0.00000 0.01756
7 10.458 3.000 0.00217 0.01538 0.00000 0.00000 0.01756
9 13.944 4.000 0.00217 0.01538 0.00000 0.00000 0.01756
12 17.430 5.000 0.00217 0.01538 0.00000 0.00000 0.01756
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 0.01756 0.00570
3 3.486 1.000 0.4046 3.0813 3.4860 0.8839 0.01756 0.00570
5 6.972 2.000 0.4046 3.0813 3.4860 0.8839 0.01756 0.00570
7 10.458 3.000 0.4046 3.0813 3.4860 0.8839 0.01756 0.00570
9 13.944 4.000 0.4046 3.0813 3.4860 0.8839 0.01756 0.00570
12 17.430 5.000 0.4046 3.0813 3.4860 0.8839 0.01756 0.00570
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 2.8794E-01 1.7796E+00 2.0676E+00 6.9440E-02 7.7497E-01 0.2412 0.4355 0.3412 8.9605E-02
1 0.00 0.00 4.1107E-02 9.5585E-01 9.9695E-01 1.5553E-02 7.2106E-01 0.3783 0.7544 0.7077 2.1569E-02
3 3.49 1.00 2.7588E-02 5.6340E-01 5.9099E-01 9.7893E-03 3.9807E-01 0.3548 0.7065 0.6570 2.4592E-02
5 6.97 2.00 1.6258E-02 3.0724E-01 3.2350E-01 5.9149E-03 2.1411E-01 0.3638 0.6969 0.6436 2.7625E-02
7 10.46 3.00 1.0167E-02 1.6391E-01 1.7408E-01 4.1658E-03 1.1488E-01 0.4097 0.7008 0.6360 3.6264E-02
9 13.94 4.00 8.4622E-03 8.7573E-02 9.6036E-02 4.1866E-03 6.2049E-02 0.4947 0.7085 0.6025 6.7473E-02
12 17.43 5.00 1.2898E-02 4.7677E-02 6.0576E-02 6.4491E-03 3.3916E-02 0.5000 0.7114 0.4534 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 0.31066 0.47396 0.46722 0.38586 0.56740 0.57141 0.47634
1.000 1.010 1.005 0.50064 0.58160 0.57782 0.51489 0.61299 0.61547 0.44003
2.000 2.010 2.005 0.52943 0.62305 0.61834 0.46156 0.62374 0.62835 0.23027
3.000 3.010 3.005 0.36998 0.63004 0.61483 0.19925 0.62011 0.63598 -0.06949
4.000 4.010 4.005 -0.05345 0.62162 0.56196 -0.22298 0.61105 0.67167 -0.28411
4.990 5.000 4.995 -1.40564 0.56074 0.14527 -0.68569 0.59125 0.88872 -0.36201
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 1.62978E-03 9.28349E-04 2.55813E-03 2.10303E-03 0.021894
9 1 10.0 0.0 180.0 3.65754E-02 1.64086E-03 7.85289E-04 2.42615E-03 2.11733E-03 0.021470
9 4 10.0 45.0 135.0 3.78969E-02 1.63664E-03 8.20967E-04 2.45761E-03 2.11189E-03 0.021663
9 7 10.0 90.0 90.0 4.24190E-02 1.64415E-03 9.23267E-04 2.56742E-03 2.12158E-03 0.021765
8 1 20.0 0.0 180.0 3.51230E-02 1.66016E-03 7.63389E-04 2.42355E-03 2.14224E-03 0.021735
8 4 20.0 45.0 135.0 3.65431E-02 1.64823E-03 7.92429E-04 2.44065E-03 2.12684E-03 0.021685
8 7 20.0 90.0 90.0 4.30444E-02 1.66996E-03 9.40855E-04 2.61082E-03 2.15488E-03 0.021858
7 1 30.0 0.0 180.0 3.63014E-02 1.69799E-03 8.27398E-04 2.52538E-03 2.19105E-03 0.022792
7 4 30.0 45.0 135.0 3.72193E-02 1.69554E-03 8.47781E-04 2.54332E-03 2.18789E-03 0.022778
7 7 30.0 90.0 90.0 4.44756E-02 1.72347E-03 1.01288E-03 2.73635E-03 2.22394E-03 0.022774
6 1 40.0 0.0 180.0 4.06796E-02 1.73817E-03 1.08195E-03 2.82011E-03 2.24289E-03 0.026597
6 4 40.0 45.0 135.0 4.04262E-02 1.73284E-03 1.07316E-03 2.80600E-03 2.23602E-03 0.026546
6 7 40.0 90.0 90.0 4.73057E-02 1.77301E-03 1.24785E-03 3.02086E-03 2.28786E-03 0.026378
5 1 50.0 0.0 180.0 4.95825E-02 1.79586E-03 1.85048E-03 3.64634E-03 2.31734E-03 0.037321
5 4 50.0 45.0 135.0 4.72544E-02 1.78120E-03 1.76015E-03 3.54135E-03 2.29843E-03 0.037248
5 7 50.0 90.0 90.0 5.25370E-02 1.85229E-03 1.93612E-03 3.78841E-03 2.39016E-03 0.036852
4 1 60.0 0.0 180.0 6.59525E-02 1.81193E-03 4.52684E-03 6.33877E-03 2.33808E-03 0.068638
4 4 60.0 45.0 135.0 6.01575E-02 1.79162E-03 4.09545E-03 5.88706E-03 2.31186E-03 0.068079
4 7 60.0 90.0 90.0 6.20813E-02 1.89849E-03 4.14574E-03 6.04423E-03 2.44977E-03 0.066779
3 1 70.0 0.0 180.0 9.71213E-02 1.71315E-03 1.54362E-02 1.71494E-02 2.21061E-03 0.158938
3 4 70.0 45.0 135.0 8.52141E-02 1.71586E-03 1.33801E-02 1.50960E-02 2.21411E-03 0.157017
3 7 70.0 90.0 90.0 8.09027E-02 1.83498E-03 1.24685E-02 1.43035E-02 2.36783E-03 0.154117
2 1 80.0 0.0 180.0 1.65649E-01 1.42517E-03 5.37983E-02 5.52235E-02 1.83901E-03 0.324772
2 4 80.0 45.0 135.0 1.41233E-01 1.40970E-03 4.63584E-02 4.77681E-02 1.81905E-03 0.328240
2 7 80.0 90.0 90.0 1.23268E-01 1.54672E-03 4.11391E-02 4.26858E-02 1.99585E-03 0.333738
1 1 87.5 0.0 180.0 2.60881E-01 1.06833E-03 1.13502E-01 1.14570E-01 1.37855E-03 0.435070
1 4 87.5 45.0 135.0 2.19348E-01 1.03059E-03 1.00915E-01 1.01945E-01 1.32986E-03 0.460068
1 7 87.5 90.0 90.0 1.80977E-01 1.13766E-03 8.83944E-02 8.95321E-02 1.46802E-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 2.558E-03 4.240E-02 1.877E-01 1.353E-01 5.649E-01 3.301E-03 2.715E+01 1.630E-03 2.103E-03
1 0.00 0.00 3.013E-03 7.610E-02 7.601E-03 1.005E-02 2.559E-02 4.178E-03 5.163E+00
3 3.49 1.00 1.877E-03 7.252E-02 5.243E-03 7.699E-03 2.516E-02 4.716E-03 5.214E+00
5 6.97 2.00 1.324E-03 5.842E-02 3.216E-03 4.862E-03 1.453E-02 6.182E-03 4.469E+00
7 10.46 3.00 1.220E-03 4.230E-02 1.890E-03 2.843E-03 7.310E-03 1.062E-02 3.416E+00
9 13.94 4.00 1.471E-03 2.849E-02 1.169E-03 1.680E-03 3.607E-03 2.371E-02 2.846E+00
12 17.43 5.00 2.053E-03 1.826E-02 1.611E-03 1.744E-03 2.188E-03 6.053E-02 3.142E+00
Waveband 6 of 30 completed in 1.7 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 0.1037 0.3529
3 3.404 1.000 0.0101 0.3428 0.2290 0.1037 0.3529
5 6.808 2.000 0.0101 0.3428 0.2290 0.1037 0.3529
7 10.212 3.000 0.0101 0.3428 0.2290 0.1037 0.3529
9 13.616 4.000 0.0101 0.3428 0.2290 0.1037 0.3529
12 17.020 5.000 0.0101 0.3428 0.2290 0.1037 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 0.01524 0.00000 0.00000 0.01721
3 3.404 1.000 0.00198 0.01524 0.00000 0.00000 0.01721
5 6.808 2.000 0.00198 0.01524 0.00000 0.00000 0.01721
7 10.212 3.000 0.00198 0.01524 0.00000 0.00000 0.01721
9 13.616 4.000 0.00198 0.01524 0.00000 0.00000 0.01721
12 17.020 5.000 0.00198 0.01524 0.00000 0.00000 0.01721
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 0.01721 0.00564
3 3.404 1.000 0.3529 3.0512 3.4041 0.8963 0.01721 0.00564
5 6.808 2.000 0.3529 3.0512 3.4041 0.8963 0.01721 0.00564
7 10.212 3.000 0.3529 3.0512 3.4041 0.8963 0.01721 0.00564
9 13.616 4.000 0.3529 3.0512 3.4041 0.8963 0.01721 0.00564
12 17.020 5.000 0.3529 3.0512 3.4041 0.8963 0.01721 0.00564
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 2.8624E-01 1.7771E+00 2.0634E+00 7.0301E-02 7.7703E-01 0.2456 0.4372 0.3425 9.0475E-02
1 0.00 0.00 4.7404E-02 9.6453E-01 1.0119E+00 1.8148E-02 7.2485E-01 0.3828 0.7515 0.6984 2.5037E-02
3 3.40 1.00 3.4260E-02 6.1107E-01 6.4533E-01 1.2381E-02 4.2911E-01 0.3614 0.7022 0.6458 2.8853E-02
5 6.81 2.00 2.2053E-02 3.5877E-01 3.8082E-01 8.2189E-03 2.4756E-01 0.3727 0.6900 0.6285 3.3200E-02
7 10.21 3.00 1.5045E-02 2.0548E-01 2.2053E-01 6.2984E-03 1.4219E-01 0.4186 0.6920 0.6162 4.4296E-02
9 13.62 4.00 1.3136E-02 1.1753E-01 1.3066E-01 6.4857E-03 8.2060E-02 0.4937 0.6982 0.5784 7.9036E-02
12 17.02 5.00 1.8842E-02 6.8332E-02 8.7174E-02 9.4208E-03 4.7853E-02 0.5000 0.7003 0.4409 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 0.26244 0.41139 0.40441 0.32112 0.49992 0.50451 0.38834
1.000 1.010 1.005 0.41595 0.50703 0.50219 0.42500 0.54236 0.54585 0.33374
2.000 2.010 2.005 0.43898 0.55051 0.54405 0.36619 0.55454 0.56102 0.14432
3.000 3.010 3.005 0.29260 0.56060 0.54230 0.13589 0.55300 0.57238 -0.08959
4.000 4.010 4.005 -0.05923 0.55460 0.49272 -0.20350 0.54562 0.61017 -0.25066
4.990 5.000 4.995 -1.14832 0.50150 0.14721 -0.57939 0.52792 0.79749 -0.31210
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 1.94647E-03 9.00747E-04 2.84722E-03 2.50503E-03 0.021894
9 1 10.0 0.0 180.0 3.54879E-02 1.95239E-03 7.61941E-04 2.71433E-03 2.51264E-03 0.021470
9 4 10.0 45.0 135.0 3.67702E-02 1.94911E-03 7.96558E-04 2.74567E-03 2.50843E-03 0.021663
9 7 10.0 90.0 90.0 4.11579E-02 1.96199E-03 8.95817E-04 2.85780E-03 2.52500E-03 0.021765
8 1 20.0 0.0 180.0 3.40787E-02 1.96890E-03 7.40692E-04 2.70959E-03 2.53389E-03 0.021735
8 4 20.0 45.0 135.0 3.54566E-02 1.95771E-03 7.68869E-04 2.72658E-03 2.51949E-03 0.021685
8 7 20.0 90.0 90.0 4.17646E-02 1.98992E-03 9.12882E-04 2.90281E-03 2.56095E-03 0.021858
7 1 30.0 0.0 180.0 3.52221E-02 2.00707E-03 8.02798E-04 2.80986E-03 2.58301E-03 0.022792
7 4 30.0 45.0 135.0 3.61127E-02 2.00835E-03 8.22575E-04 2.83093E-03 2.58467E-03 0.022778
7 7 30.0 90.0 90.0 4.31533E-02 2.05024E-03 9.82762E-04 3.03300E-03 2.63857E-03 0.022774
6 1 40.0 0.0 180.0 3.94701E-02 2.04340E-03 1.04978E-03 3.09318E-03 2.62978E-03 0.026597
6 4 40.0 45.0 135.0 3.92242E-02 2.04293E-03 1.04125E-03 3.08417E-03 2.62916E-03 0.026546
6 7 40.0 90.0 90.0 4.58992E-02 2.10224E-03 1.21074E-03 3.31299E-03 2.70550E-03 0.026378
5 1 50.0 0.0 180.0 4.81084E-02 2.10371E-03 1.79546E-03 3.89917E-03 2.70739E-03 0.037321
5 4 50.0 45.0 135.0 4.58495E-02 2.09330E-03 1.70782E-03 3.80112E-03 2.69399E-03 0.037248
5 7 50.0 90.0 90.0 5.09750E-02 2.19074E-03 1.87854E-03 4.06928E-03 2.81939E-03 0.036852
4 1 60.0 0.0 180.0 6.39916E-02 2.11463E-03 4.39226E-03 6.50689E-03 2.72144E-03 0.068638
4 4 60.0 45.0 135.0 5.83696E-02 2.09852E-03 3.97369E-03 6.07221E-03 2.70071E-03 0.068078
4 7 60.0 90.0 90.0 6.02315E-02 2.23952E-03 4.02243E-03 6.26194E-03 2.88217E-03 0.066783
3 1 70.0 0.0 180.0 9.42337E-02 1.99351E-03 1.49773E-02 1.69708E-02 2.56556E-03 0.158938
3 4 70.0 45.0 135.0 8.26805E-02 2.00433E-03 1.29823E-02 1.49866E-02 2.57949E-03 0.157017
3 7 70.0 90.0 90.0 7.84973E-02 2.15925E-03 1.20977E-02 1.42570E-02 2.77886E-03 0.154117
2 1 80.0 0.0 180.0 1.60724E-01 1.65377E-03 5.21988E-02 5.38526E-02 2.12833E-03 0.324772
2 4 80.0 45.0 135.0 1.37034E-01 1.64241E-03 4.49801E-02 4.66225E-02 2.11372E-03 0.328240
2 7 80.0 90.0 90.0 1.19603E-01 1.81586E-03 3.99159E-02 4.17318E-02 2.33694E-03 0.333738
1 1 87.5 0.0 180.0 2.53125E-01 1.23790E-03 1.10127E-01 1.11365E-01 1.59313E-03 0.435070
1 4 87.5 45.0 135.0 2.12826E-01 1.19907E-03 9.79145E-02 9.91136E-02 1.54315E-03 0.460068
1 7 87.5 90.0 90.0 1.75597E-01 1.33398E-03 8.57663E-02 8.71003E-02 1.71678E-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 2.847E-03 4.114E-02 1.822E-01 1.313E-01 5.511E-01 3.664E-03 2.469E+01 1.946E-03 2.505E-03
1 0.00 0.00 3.598E-03 7.385E-02 8.565E-03 1.141E-02 2.871E-02 4.964E-03 5.044E+00
3 3.40 1.00 2.476E-03 7.507E-02 6.243E-03 9.213E-03 3.004E-02 5.771E-03 5.000E+00
5 6.81 2.00 1.931E-03 6.447E-02 4.144E-03 6.303E-03 1.896E-02 7.799E-03 4.257E+00
7 10.21 3.00 1.880E-03 4.975E-02 2.637E-03 3.990E-03 1.037E-02 1.322E-02 3.350E+00
9 13.62 4.00 2.246E-03 3.571E-02 1.766E-03 2.547E-03 5.531E-03 2.738E-02 2.887E+00
12 17.02 5.00 2.999E-03 2.438E-02 2.405E-03 2.622E-03 3.357E-03 6.267E-02 3.142E+00
Waveband 7 of 30 completed in 1.5 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 0.0965 0.3156
3 3.336 1.000 0.0114 0.3042 0.2000 0.0965 0.3156
5 6.672 2.000 0.0114 0.3042 0.2000 0.0965 0.3156
7 10.007 3.000 0.0114 0.3042 0.2000 0.0965 0.3156
9 13.343 4.000 0.0114 0.3042 0.2000 0.0965 0.3156
12 16.679 5.000 0.0114 0.3042 0.2000 0.0965 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 0.01508 0.00000 0.00000 0.01689
3 3.336 1.000 0.00180 0.01508 0.00000 0.00000 0.01689
5 6.672 2.000 0.00180 0.01508 0.00000 0.00000 0.01689
7 10.007 3.000 0.00180 0.01508 0.00000 0.00000 0.01689
9 13.343 4.000 0.00180 0.01508 0.00000 0.00000 0.01689
12 16.679 5.000 0.00180 0.01508 0.00000 0.00000 0.01689
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 0.01689 0.00559
3 3.336 1.000 0.3156 3.0202 3.3358 0.9054 0.01689 0.00559
5 6.672 2.000 0.3156 3.0202 3.3358 0.9054 0.01689 0.00559
7 10.007 3.000 0.3156 3.0202 3.3358 0.9054 0.01689 0.00559
9 13.343 4.000 0.3156 3.0202 3.3358 0.9054 0.01689 0.00559
12 16.679 5.000 0.3156 3.0202 3.3358 0.9054 0.01689 0.00559
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 2.9009E-01 1.8083E+00 2.0984E+00 7.2499E-02 7.9368E-01 0.2499 0.4389 0.3437 9.1346E-02
1 0.00 0.00 5.4236E-02 9.9093E-01 1.0452E+00 2.0997E-02 7.4216E-01 0.3871 0.7490 0.6900 2.8292E-02
3 3.34 1.00 4.1381E-02 6.6143E-01 7.0281E-01 1.5218E-02 4.6222E-01 0.3678 0.6988 0.6360 3.2924E-02
5 6.67 2.00 2.8450E-02 4.0995E-01 4.3840E-01 1.0833E-02 2.8068E-01 0.3808 0.6847 0.6155 3.8595E-02
7 10.01 3.00 2.0674E-02 2.4742E-01 2.6809E-01 8.8039E-03 1.6949E-01 0.4258 0.6850 0.5993 5.1945E-02
9 13.34 4.00 1.8652E-02 1.4883E-01 1.6748E-01 9.2000E-03 1.0270E-01 0.4932 0.6901 0.5583 8.9582E-02
12 16.68 5.00 2.5638E-02 9.0833E-02 1.1647E-01 1.2819E-02 6.2811E-02 0.5000 0.6915 0.4292 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 0.22778 0.36722 0.35998 0.27263 0.45110 0.45630 0.31963
1.000 1.010 1.005 0.35280 0.45255 0.44667 0.35724 0.49084 0.49539 0.25641
2.000 2.010 2.005 0.37190 0.49709 0.48896 0.29717 0.50381 0.51211 0.08904
3.000 3.010 3.005 0.23817 0.50932 0.48838 0.09411 0.50366 0.52615 -0.09923
4.000 4.010 4.005 -0.06276 0.50502 0.44162 -0.18877 0.49745 0.56523 -0.22641
4.990 5.000 4.995 -0.96930 0.45772 0.14534 -0.50487 0.48132 0.73264 -0.27675
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 2.30942E-03 8.91334E-04 3.20076E-03 2.90976E-03 0.021894
9 1 10.0 0.0 180.0 3.51171E-02 2.30930E-03 7.53978E-04 3.06328E-03 2.90961E-03 0.021470
9 4 10.0 45.0 135.0 3.63859E-02 2.30701E-03 7.88234E-04 3.09524E-03 2.90672E-03 0.021663
9 7 10.0 90.0 90.0 4.07278E-02 2.32569E-03 8.86455E-04 3.21214E-03 2.93025E-03 0.021765
8 1 20.0 0.0 180.0 3.37226E-02 2.32181E-03 7.32951E-04 3.05476E-03 2.92536E-03 0.021735
8 4 20.0 45.0 135.0 3.50861E-02 2.31135E-03 7.60834E-04 3.07218E-03 2.91219E-03 0.021685
8 7 20.0 90.0 90.0 4.13282E-02 2.35501E-03 9.03342E-04 3.25836E-03 2.96720E-03 0.021858
7 1 30.0 0.0 180.0 3.48540E-02 2.35930E-03 7.94408E-04 3.15371E-03 2.97260E-03 0.022792
7 4 30.0 45.0 135.0 3.57353E-02 2.36470E-03 8.13979E-04 3.17868E-03 2.97941E-03 0.022778
7 7 30.0 90.0 90.0 4.27024E-02 2.42178E-03 9.72492E-04 3.39427E-03 3.05132E-03 0.022774
6 1 40.0 0.0 180.0 3.90577E-02 2.38884E-03 1.03881E-03 3.42764E-03 3.00982E-03 0.026597
6 4 40.0 45.0 135.0 3.88143E-02 2.39370E-03 1.03037E-03 3.42407E-03 3.01595E-03 0.026546
6 7 40.0 90.0 90.0 4.54196E-02 2.47378E-03 1.19809E-03 3.67187E-03 3.11684E-03 0.026378
5 1 50.0 0.0 180.0 4.76056E-02 2.44997E-03 1.77670E-03 4.22667E-03 3.08684E-03 0.037321
5 4 50.0 45.0 135.0 4.53704E-02 2.44419E-03 1.68998E-03 4.13417E-03 3.07956E-03 0.037248
5 7 50.0 90.0 90.0 5.04423E-02 2.57025E-03 1.85889E-03 4.42914E-03 3.23839E-03 0.036852
4 1 60.0 0.0 180.0 6.33229E-02 2.45270E-03 4.34637E-03 6.79907E-03 3.09029E-03 0.068638
4 4 60.0 45.0 135.0 5.77602E-02 2.44119E-03 3.93217E-03 6.37337E-03 3.07579E-03 0.068078
4 7 60.0 90.0 90.0 5.95981E-02 2.61928E-03 3.98034E-03 6.59962E-03 3.30017E-03 0.066786
3 1 70.0 0.0 180.0 9.32489E-02 2.30452E-03 1.48208E-02 1.71253E-02 2.90358E-03 0.158938
3 4 70.0 45.0 135.0 8.18165E-02 2.32426E-03 1.28466E-02 1.51709E-02 2.92845E-03 0.157018
3 7 70.0 90.0 90.0 7.76771E-02 2.51794E-03 1.19712E-02 1.44892E-02 3.17248E-03 0.154116
2 1 80.0 0.0 180.0 1.59045E-01 1.90563E-03 5.16534E-02 5.35590E-02 2.40100E-03 0.324773
2 4 80.0 45.0 135.0 1.35602E-01 1.89877E-03 4.45100E-02 4.64088E-02 2.39236E-03 0.328240
2 7 80.0 90.0 90.0 1.18353E-01 2.11169E-03 3.94987E-02 4.16104E-02 2.66062E-03 0.333737
1 1 87.5 0.0 180.0 2.50480E-01 1.42406E-03 1.08976E-01 1.10400E-01 1.79424E-03 0.435070
1 4 87.5 45.0 135.0 2.10602E-01 1.38400E-03 9.68913E-02 9.82753E-02 1.74378E-03 0.460068
1 7 87.5 90.0 90.0 1.73762E-01 1.54910E-03 8.48700E-02 8.64191E-02 1.95179E-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 3.201E-03 4.071E-02 1.804E-01 1.301E-01 5.483E-01 4.033E-03 2.265E+01 2.309E-03 2.910E-03
1 0.00 0.00 4.269E-03 7.310E-02 9.596E-03 1.287E-02 3.209E-02 5.752E-03 4.918E+00
3 3.34 1.00 3.167E-03 7.802E-02 7.258E-03 1.076E-02 3.502E-02 6.852E-03 4.805E+00
5 6.67 2.00 2.647E-03 7.028E-02 5.107E-03 7.805E-03 2.358E-02 9.429E-03 4.093E+00
7 10.01 3.00 2.664E-03 5.686E-02 3.449E-03 5.241E-03 1.373E-02 1.572E-02 3.305E+00
9 13.34 4.00 3.154E-03 4.277E-02 2.450E-03 3.544E-03 7.761E-03 3.071E-02 2.917E+00
12 16.68 5.00 4.080E-03 3.060E-02 3.322E-03 3.639E-03 4.732E-03 6.496E-02 3.142E+00
Waveband 8 of 30 completed in 1.5 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 0.0889 0.2814
3 3.278 1.000 0.0136 0.2678 0.1736 0.0889 0.2814
5 6.555 2.000 0.0136 0.2678 0.1736 0.0889 0.2814
7 9.833 3.000 0.0136 0.2678 0.1736 0.0889 0.2814
9 13.111 4.000 0.0136 0.2678 0.1736 0.0889 0.2814
12 16.388 5.000 0.0136 0.2678 0.1736 0.0889 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 0.01497 0.00000 0.00000 0.01661
3 3.278 1.000 0.00165 0.01497 0.00000 0.00000 0.01661
5 6.555 2.000 0.00165 0.01497 0.00000 0.00000 0.01661
7 9.833 3.000 0.00165 0.01497 0.00000 0.00000 0.01661
9 13.111 4.000 0.00165 0.01497 0.00000 0.00000 0.01661
12 16.388 5.000 0.00165 0.01497 0.00000 0.00000 0.01661
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 0.01661 0.00554
3 3.278 1.000 0.2814 2.9963 3.2777 0.9141 0.01661 0.00554
5 6.555 2.000 0.2814 2.9963 3.2777 0.9141 0.01661 0.00554
7 9.833 3.000 0.2814 2.9963 3.2777 0.9141 0.01661 0.00554
9 13.111 4.000 0.2814 2.9963 3.2777 0.9141 0.01661 0.00554
12 16.388 5.000 0.2814 2.9963 3.2777 0.9141 0.01661 0.00554
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 2.8093E-01 1.7539E+00 2.0348E+00 7.1526E-02 7.7252E-01 0.2546 0.4405 0.3445 9.2588E-02
1 0.00 0.00 5.9575E-02 9.7090E-01 1.0305E+00 2.3366E-02 7.2435E-01 0.3922 0.7461 0.6803 3.2257E-02
3 3.28 1.00 4.7753E-02 6.7980E-01 7.2755E-01 1.7902E-02 4.7261E-01 0.3749 0.6952 0.6250 3.7879E-02
5 6.56 2.00 3.4848E-02 4.4296E-01 4.7781E-01 1.3551E-02 3.0087E-01 0.3889 0.6792 0.6013 4.5038E-02
7 9.83 3.00 2.6722E-02 2.8066E-01 3.0738E-01 1.1535E-02 1.9029E-01 0.4317 0.6780 0.5815 6.0619E-02
9 13.11 4.00 2.4665E-02 1.7692E-01 2.0158E-01 1.2123E-02 1.2063E-01 0.4915 0.6819 0.5383 1.0049E-01
12 16.39 5.00 3.2399E-02 1.1293E-01 1.4533E-01 1.6199E-02 7.7107E-02 0.5000 0.6828 0.4191 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 0.19778 0.32785 0.32033 0.22779 0.40642 0.41238 0.25635
1.000 1.010 1.005 0.29501 0.40236 0.39531 0.29578 0.44346 0.44928 0.19187
2.000 2.010 2.005 0.31238 0.44759 0.43772 0.23901 0.45694 0.46723 0.04965
3.000 3.010 3.005 0.19465 0.46164 0.43841 0.06482 0.45795 0.48337 -0.10054
4.000 4.010 4.005 -0.05901 0.45895 0.39543 -0.16963 0.45280 0.52258 -0.20187
4.990 5.000 4.995 -0.79285 0.41835 0.14961 -0.43407 0.43837 0.66913 -0.24392
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 2.64690E-03 8.41808E-04 3.48871E-03 3.42630E-03 0.021894
9 1 10.0 0.0 180.0 3.31658E-02 2.63905E-03 7.12084E-04 3.35113E-03 3.41614E-03 0.021470
9 4 10.0 45.0 135.0 3.43642E-02 2.63810E-03 7.44436E-04 3.38254E-03 3.41491E-03 0.021663
9 7 10.0 90.0 90.0 3.84647E-02 2.66293E-03 8.37200E-04 3.50013E-03 3.44706E-03 0.021765
8 1 20.0 0.0 180.0 3.18488E-02 2.64526E-03 6.92225E-04 3.33749E-03 3.42418E-03 0.021735
8 4 20.0 45.0 135.0 3.31365E-02 2.63630E-03 7.18559E-04 3.35486E-03 3.41258E-03 0.021685
8 7 20.0 90.0 90.0 3.90318E-02 2.69180E-03 8.53148E-04 3.54495E-03 3.48443E-03 0.021858
7 1 30.0 0.0 180.0 3.29174E-02 2.67916E-03 7.50267E-04 3.42943E-03 3.46806E-03 0.022792
7 4 30.0 45.0 135.0 3.37497E-02 2.68953E-03 7.68750E-04 3.45828E-03 3.48149E-03 0.022778
7 7 30.0 90.0 90.0 4.03296E-02 2.76234E-03 9.18456E-04 3.68079E-03 3.57573E-03 0.022774
6 1 40.0 0.0 180.0 3.68874E-02 2.69678E-03 9.81084E-04 3.67787E-03 3.49088E-03 0.026597
6 4 40.0 45.0 135.0 3.66576E-02 2.70827E-03 9.73116E-04 3.68139E-03 3.50575E-03 0.026546
6 7 40.0 90.0 90.0 4.28958E-02 2.80958E-03 1.13152E-03 3.94110E-03 3.63688E-03 0.026378
5 1 50.0 0.0 180.0 4.49604E-02 2.75403E-03 1.67798E-03 4.43201E-03 3.56497E-03 0.037321
5 4 50.0 45.0 135.0 4.28494E-02 2.75460E-03 1.59607E-03 4.35068E-03 3.56572E-03 0.037248
5 7 50.0 90.0 90.0 4.76395E-02 2.90900E-03 1.75559E-03 4.66459E-03 3.76558E-03 0.036852
4 1 60.0 0.0 180.0 5.98044E-02 2.74447E-03 4.10487E-03 6.84934E-03 3.55260E-03 0.068638
4 4 60.0 45.0 135.0 5.45514E-02 2.73961E-03 3.71369E-03 6.45330E-03 3.54631E-03 0.068077
4 7 60.0 90.0 90.0 5.62828E-02 2.95356E-03 3.75912E-03 6.71269E-03 3.82327E-03 0.066790
3 1 70.0 0.0 180.0 8.80676E-02 2.56852E-03 1.39972E-02 1.65658E-02 3.32484E-03 0.158937
3 4 70.0 45.0 135.0 7.72704E-02 2.59860E-03 1.21328E-02 1.47314E-02 3.36378E-03 0.157018
3 7 70.0 90.0 90.0 7.33610E-02 2.82903E-03 1.13060E-02 1.41350E-02 3.66206E-03 0.154115
2 1 80.0 0.0 180.0 1.50207E-01 2.11580E-03 4.87833E-02 5.08991E-02 2.73882E-03 0.324773
2 4 80.0 45.0 135.0 1.28068E-01 2.11514E-03 4.20369E-02 4.41520E-02 2.73795E-03 0.328240
2 7 80.0 90.0 90.0 1.11777E-01 2.36456E-03 3.73040E-02 3.96685E-02 3.06083E-03 0.333737
1 1 87.5 0.0 180.0 2.36562E-01 1.57794E-03 1.02921E-01 1.04499E-01 2.04258E-03 0.435070
1 4 87.5 45.0 135.0 1.98900E-01 1.53873E-03 9.15076E-02 9.30463E-02 1.99182E-03 0.460068
1 7 87.5 90.0 90.0 1.64107E-01 1.73158E-03 8.01542E-02 8.18858E-02 2.24146E-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 3.489E-03 3.845E-02 1.705E-01 1.230E-01 5.207E-01 4.516E-03 2.050E+01 2.647E-03 3.426E-03
1 0.00 0.00 4.893E-03 6.905E-02 1.032E-02 1.393E-02 3.431E-02 6.755E-03 4.775E+00
3 3.28 1.00 3.878E-03 7.715E-02 8.053E-03 1.197E-02 3.876E-02 8.205E-03 4.617E+00
5 6.56 2.00 3.421E-03 7.264E-02 5.980E-03 9.168E-03 2.771E-02 1.137E-02 3.961E+00
7 9.83 3.00 3.515E-03 6.139E-02 4.268E-03 6.502E-03 1.709E-02 1.847E-02 3.282E+00
9 13.11 4.00 4.107E-03 4.822E-02 3.197E-03 4.632E-03 1.019E-02 3.405E-02 2.952E+00
12 16.39 5.00 5.156E-03 3.601E-02 4.271E-03 4.702E-03 6.209E-03 6.687E-02 3.142E+00
Waveband 9 of 30 completed in 1.4 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 0.0825 0.2525
3 3.220 1.000 0.0173 0.2352 0.1502 0.0825 0.2525
5 6.441 2.000 0.0173 0.2352 0.1502 0.0825 0.2525
7 9.661 3.000 0.0173 0.2352 0.1502 0.0825 0.2525
9 12.881 4.000 0.0173 0.2352 0.1502 0.0825 0.2525
12 16.102 5.000 0.0173 0.2352 0.1502 0.0825 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 0.01482 0.00000 0.00000 0.01633
3 3.220 1.000 0.00151 0.01482 0.00000 0.00000 0.01633
5 6.441 2.000 0.00151 0.01482 0.00000 0.00000 0.01633
7 9.661 3.000 0.00151 0.01482 0.00000 0.00000 0.01633
9 12.881 4.000 0.00151 0.01482 0.00000 0.00000 0.01633
12 16.102 5.000 0.00151 0.01482 0.00000 0.00000 0.01633
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 0.01633 0.00550
3 3.220 1.000 0.2525 2.9678 3.2203 0.9216 0.01633 0.00550
5 6.441 2.000 0.2525 2.9678 3.2203 0.9216 0.01633 0.00550
7 9.661 3.000 0.2525 2.9678 3.2203 0.9216 0.01633 0.00550
9 12.881 4.000 0.2525 2.9678 3.2203 0.9216 0.01633 0.00550
12 16.102 5.000 0.2525 2.9678 3.2203 0.9216 0.01633 0.00550
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 2.8575E-01 1.7842E+00 2.0700E+00 7.4148E-02 7.8855E-01 0.2595 0.4420 0.3451 9.4031E-02
1 0.00 0.00 6.8111E-02 9.9775E-01 1.0659E+00 2.7071E-02 7.4146E-01 0.3975 0.7431 0.6702 3.6511E-02
3 3.22 1.00 5.6894E-02 7.2730E-01 7.8419E-01 2.1741E-02 5.0327E-01 0.3821 0.6920 0.6140 4.3200E-02
5 6.44 2.00 4.3666E-02 4.9467E-01 5.3834E-01 1.7314E-02 3.3359E-01 0.3965 0.6744 0.5875 5.1903E-02
7 9.66 3.00 3.4984E-02 3.2682E-01 3.6180E-01 1.5276E-02 2.1953E-01 0.4367 0.6717 0.5645 6.9586E-02
9 12.88 4.00 3.2848E-02 2.1451E-01 2.4736E-01 1.6093E-02 1.4468E-01 0.4899 0.6744 0.5198 1.1123E-01
12 16.10 5.00 4.1509E-02 1.4232E-01 1.8383E-01 2.0755E-02 9.6046E-02 0.5000 0.6749 0.4096 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 0.17234 0.29571 0.28782 0.18955 0.36866 0.37546 0.20285
1.000 1.010 1.005 0.24596 0.35961 0.35136 0.24398 0.40309 0.41028 0.14134
2.000 2.010 2.005 0.26267 0.40504 0.39348 0.19229 0.41680 0.42910 0.02204
3.000 3.010 3.005 0.16026 0.42052 0.39533 0.04361 0.41870 0.44681 -0.09881
4.000 4.010 4.005 -0.05452 0.41923 0.35619 -0.15245 0.41442 0.48559 -0.18085
4.990 5.000 4.995 -0.64507 0.38485 0.15321 -0.37500 0.40157 0.61458 -0.21647
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 3.16327E-03 8.34199E-04 3.99747E-03 4.01150E-03 0.021894
9 1 10.0 0.0 180.0 3.28660E-02 3.14622E-03 7.05647E-04 3.85187E-03 3.98988E-03 0.021470
9 4 10.0 45.0 135.0 3.40535E-02 3.14666E-03 7.37707E-04 3.88436E-03 3.99043E-03 0.021663
9 7 10.0 90.0 90.0 3.81171E-02 3.17933E-03 8.29632E-04 4.00896E-03 4.03186E-03 0.021765
8 1 20.0 0.0 180.0 3.15609E-02 3.14483E-03 6.85968E-04 3.83080E-03 3.98812E-03 0.021735
8 4 20.0 45.0 135.0 3.28370E-02 3.13701E-03 7.12064E-04 3.84908E-03 3.97820E-03 0.021685
8 7 20.0 90.0 90.0 3.86790E-02 3.20811E-03 8.45437E-04 4.05355E-03 4.06837E-03 0.021858
7 1 30.0 0.0 180.0 3.26198E-02 3.17529E-03 7.43486E-04 3.91877E-03 4.02674E-03 0.022792
7 4 30.0 45.0 135.0 3.34447E-02 3.19172E-03 7.61802E-04 3.95353E-03 4.04758E-03 0.022778
7 7 30.0 90.0 90.0 3.99651E-02 3.28514E-03 9.10154E-04 4.19529E-03 4.16605E-03 0.022774
6 1 40.0 0.0 180.0 3.65540E-02 3.17781E-03 9.72216E-04 4.15003E-03 4.02994E-03 0.026597
6 4 40.0 45.0 135.0 3.63263E-02 3.19730E-03 9.64319E-04 4.16162E-03 4.05465E-03 0.026546
6 7 40.0 90.0 90.0 4.25081E-02 3.32643E-03 1.12129E-03 4.44771E-03 4.21841E-03 0.026378
5 1 50.0 0.0 180.0 4.45540E-02 3.23115E-03 1.66281E-03 4.89397E-03 4.09759E-03 0.037321
5 4 50.0 45.0 135.0 4.24621E-02 3.23888E-03 1.58165E-03 4.82053E-03 4.10739E-03 0.037249
5 7 50.0 90.0 90.0 4.72089E-02 3.43131E-03 1.73971E-03 5.17102E-03 4.35142E-03 0.036851
4 1 60.0 0.0 180.0 5.92638E-02 3.20464E-03 4.06778E-03 7.27242E-03 4.06396E-03 0.068639
4 4 60.0 45.0 135.0 5.40589E-02 3.20701E-03 3.68013E-03 6.88714E-03 4.06697E-03 0.068076
4 7 60.0 90.0 90.0 5.57704E-02 3.46999E-03 3.72509E-03 7.19509E-03 4.40047E-03 0.066793
3 1 70.0 0.0 180.0 8.72716E-02 2.98648E-03 1.38707E-02 1.68572E-02 3.78730E-03 0.158937
3 4 70.0 45.0 135.0 7.65720E-02 3.02957E-03 1.20231E-02 1.50527E-02 3.84195E-03 0.157018
3 7 70.0 90.0 90.0 7.26978E-02 3.31047E-03 1.12037E-02 1.45142E-02 4.19817E-03 0.154114
2 1 80.0 0.0 180.0 1.48850E-01 2.44984E-03 4.83423E-02 5.07922E-02 3.10676E-03 0.324773
2 4 80.0 45.0 135.0 1.26910E-01 2.45607E-03 4.16569E-02 4.41130E-02 3.11467E-03 0.328240
2 7 80.0 90.0 90.0 1.10766E-01 2.75658E-03 3.69667E-02 3.97233E-02 3.49575E-03 0.333737
1 1 87.5 0.0 180.0 2.34423E-01 1.82303E-03 1.01991E-01 1.03814E-01 2.31187E-03 0.435070
1 4 87.5 45.0 135.0 1.97102E-01 1.78294E-03 9.06805E-02 9.24634E-02 2.26104E-03 0.460068
1 7 87.5 90.0 90.0 1.62623E-01 2.01476E-03 7.94297E-02 8.14445E-02 2.55502E-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 3.997E-03 3.810E-02 1.691E-01 1.220E-01 5.188E-01 5.069E-03 1.855E+01 3.163E-03 4.011E-03
1 0.00 0.00 5.848E-03 6.845E-02 1.156E-02 1.568E-02 3.819E-02 7.887E-03 4.629E+00
3 3.22 1.00 4.891E-03 7.956E-02 9.236E-03 1.376E-02 4.426E-02 9.718E-03 4.445E+00
5 6.44 2.00 4.493E-03 7.781E-02 7.181E-03 1.103E-02 3.332E-02 1.347E-02 3.854E+00
7 9.66 3.00 4.676E-03 6.827E-02 5.375E-03 8.201E-03 2.160E-02 2.130E-02 3.267E+00
9 12.88 4.00 5.396E-03 5.566E-02 4.212E-03 6.107E-03 1.349E-02 3.730E-02 2.982E+00
12 16.10 5.00 6.606E-03 4.314E-02 5.553E-03 6.141E-03 8.222E-03 6.878E-02 3.142E+00
Waveband 10 of 30 completed in 1.4 sec.
* * * * * Output for wavelength band 11 (500.0 to 510.0 nm; nominal wavelength = 505.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
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 0.0742 0.2300
3 3.168 1.000 0.0256 0.2044 0.1304 0.0742 0.2300
5 6.337 2.000 0.0256 0.2044 0.1304 0.0742 0.2300
7 9.505 3.000 0.0256 0.2044 0.1304 0.0742 0.2300
9 12.673 4.000 0.0256 0.2044 0.1304 0.0742 0.2300
12 15.842 5.000 0.0256 0.2044 0.1304 0.0742 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 0.01468 0.00000 0.00000 0.01606
3 3.168 1.000 0.00138 0.01468 0.00000 0.00000 0.01606
5 6.337 2.000 0.00138 0.01468 0.00000 0.00000 0.01606
7 9.505 3.000 0.00138 0.01468 0.00000 0.00000 0.01606
9 12.673 4.000 0.00138 0.01468 0.00000 0.00000 0.01606
12 15.842 5.000 0.00138 0.01468 0.00000 0.00000 0.01606
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 0.01606 0.00547
3 3.168 1.000 0.2300 2.9384 3.1684 0.9274 0.01606 0.00547
5 6.337 2.000 0.2300 2.9384 3.1684 0.9274 0.01606 0.00547
7 9.505 3.000 0.2300 2.9384 3.1684 0.9274 0.01606 0.00547
9 12.673 4.000 0.2300 2.9384 3.1684 0.9274 0.01606 0.00547
12 15.842 5.000 0.2300 2.9384 3.1684 0.9274 0.01606 0.00547
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 2.8076E-01 1.7520E+00 2.0328E+00 7.4232E-02 7.7681E-01 0.2644 0.4434 0.3456 9.5560E-02
1 0.00 0.00 7.4121E-02 9.8923E-01 1.0634E+00 2.9844E-02 7.3241E-01 0.4026 0.7404 0.6607 4.0748E-02
3 3.17 1.00 6.3938E-02 7.4411E-01 8.0804E-01 2.4884E-02 5.1283E-01 0.3892 0.6892 0.6039 4.8522E-02
5 6.34 2.00 5.1098E-02 5.2360E-01 5.7470E-01 2.0638E-02 3.5097E-01 0.4039 0.6703 0.5748 5.8804E-02
7 9.51 3.00 4.2430E-02 3.5769E-01 4.0012E-01 1.8747E-02 2.3838E-01 0.4418 0.6664 0.5489 7.8646E-02
9 12.67 4.00 4.0487E-02 2.4249E-01 2.8298E-01 1.9834E-02 1.6203E-01 0.4899 0.6682 0.5025 1.2241E-01
12 15.84 5.00 4.9936E-02 1.6595E-01 2.1589E-01 2.4968E-02 1.1087E-01 0.5000 0.6681 0.3979 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 0.15343 0.27145 0.26322 0.15925 0.33905 0.34669 0.16021
1.000 1.010 1.005 0.20690 0.32589 0.31647 0.20248 0.37120 0.37981 0.10249
2.000 2.010 2.005 0.22252 0.37116 0.35793 0.15492 0.38494 0.39932 0.00113
3.000 3.010 3.005 0.13154 0.38765 0.36046 0.02546 0.38746 0.41842 -0.09825
4.000 4.010 4.005 -0.05494 0.38740 0.32399 -0.14220 0.38381 0.45741 -0.16587
4.990 5.000 4.995 -0.54937 0.35680 0.14792 -0.33354 0.37200 0.57613 -0.19602
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 3.59766E-03 7.98440E-04 4.39610E-03 4.63132E-03 0.021894
9 1 10.0 0.0 180.0 3.14572E-02 3.57157E-03 6.75399E-04 4.24697E-03 4.59773E-03 0.021470
9 4 10.0 45.0 135.0 3.25938E-02 3.57327E-03 7.06085E-04 4.27936E-03 4.59993E-03 0.021663
9 7 10.0 90.0 90.0 3.64831E-02 3.61245E-03 7.94070E-04 4.40652E-03 4.65036E-03 0.021765
8 1 20.0 0.0 180.0 3.02080E-02 3.56124E-03 6.56564E-04 4.21780E-03 4.58443E-03 0.021735
8 4 20.0 45.0 135.0 3.14294E-02 3.55468E-03 6.81540E-04 4.23622E-03 4.57600E-03 0.021685
8 7 20.0 90.0 90.0 3.70210E-02 3.63875E-03 8.09196E-04 4.44794E-03 4.68421E-03 0.021858
7 1 30.0 0.0 180.0 3.12216E-02 3.58566E-03 7.11616E-04 4.29727E-03 4.61587E-03 0.022792
7 4 30.0 45.0 135.0 3.20110E-02 3.60766E-03 7.29147E-04 4.33680E-03 4.64419E-03 0.022778
7 7 30.0 90.0 90.0 3.82519E-02 3.71813E-03 8.71139E-04 4.58927E-03 4.78640E-03 0.022774
6 1 40.0 0.0 180.0 3.49871E-02 3.56907E-03 9.30541E-04 4.49961E-03 4.59452E-03 0.026597
6 4 40.0 45.0 135.0 3.47691E-02 3.59601E-03 9.22983E-04 4.51899E-03 4.62919E-03 0.026546
6 7 40.0 90.0 90.0 4.06860E-02 3.74783E-03 1.07322E-03 4.82105E-03 4.82463E-03 0.026378
5 1 50.0 0.0 180.0 4.26442E-02 3.61358E-03 1.59153E-03 5.20511E-03 4.65181E-03 0.037321
5 4 50.0 45.0 135.0 4.06419E-02 3.62825E-03 1.51385E-03 5.14210E-03 4.67070E-03 0.037249
5 7 50.0 90.0 90.0 4.51853E-02 3.85119E-03 1.66512E-03 5.51631E-03 4.95769E-03 0.036851
4 1 60.0 0.0 180.0 5.67234E-02 3.56709E-03 3.89342E-03 7.46050E-03 4.59196E-03 0.068639
4 4 60.0 45.0 135.0 5.17422E-02 3.57667E-03 3.52239E-03 7.09906E-03 4.60429E-03 0.068076
4 7 60.0 90.0 90.0 5.33762E-02 3.87850E-03 3.56537E-03 7.44387E-03 4.99285E-03 0.066797
3 1 70.0 0.0 180.0 8.35306E-02 3.30994E-03 1.32761E-02 1.65861E-02 4.26093E-03 0.158937
3 4 70.0 45.0 135.0 7.32896E-02 3.36471E-03 1.15078E-02 1.48725E-02 4.33143E-03 0.157018
3 7 70.0 90.0 90.0 6.95816E-02 3.68486E-03 1.07234E-02 1.44083E-02 4.74357E-03 0.154113
2 1 80.0 0.0 180.0 1.42469E-01 2.70357E-03 4.62701E-02 4.89737E-02 3.48035E-03 0.324773
2 4 80.0 45.0 135.0 1.21470E-01 2.71651E-03 3.98713E-02 4.25878E-02 3.49701E-03 0.328240
2 7 80.0 90.0 90.0 1.06018E-01 3.05624E-03 3.53821E-02 3.84383E-02 3.93434E-03 0.333736
1 1 87.5 0.0 180.0 2.24375E-01 2.00726E-03 9.76188E-02 9.96261E-02 2.58397E-03 0.435070
1 4 87.5 45.0 135.0 1.88654E-01 1.96766E-03 8.67934E-02 8.87610E-02 2.53300E-03 0.460068
1 7 87.5 90.0 90.0 1.55652E-01 2.22929E-03 7.60249E-02 7.82542E-02 2.86980E-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 4.396E-03 3.647E-02 1.620E-01 1.170E-01 4.993E-01 5.659E-03 1.689E+01 3.598E-03 4.631E-03
1 0.00 0.00 6.651E-03 6.554E-02 1.235E-02 1.682E-02 4.052E-02 9.082E-03 4.487E+00
3 3.17 1.00 5.802E-03 7.869E-02 1.003E-02 1.496E-02 4.778E-02 1.131E-02 4.289E+00
5 6.34 2.00 5.497E-03 7.936E-02 8.081E-03 1.243E-02 3.746E-02 1.566E-02 3.755E+00
7 9.51 3.00 5.778E-03 7.177E-02 6.286E-03 9.592E-03 2.529E-02 2.424E-02 3.245E+00
9 12.67 4.00 6.612E-03 6.029E-02 5.113E-03 7.406E-03 1.640E-02 4.081E-02 3.000E+00
12 15.84 5.00 7.948E-03 4.814E-02 6.736E-03 7.467E-03 1.008E-02 7.168E-02 3.142E+00
Waveband 11 of 30 completed in 1.4 sec.
* * * * * Output for wavelength band 12 (510.0 to 520.0 nm; nominal wavelength = 515.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
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 0.0669 0.2188
3 3.129 1.000 0.0396 0.1792 0.1138 0.0669 0.2188
5 6.258 2.000 0.0396 0.1792 0.1138 0.0669 0.2188
7 9.387 3.000 0.0396 0.1792 0.1138 0.0669 0.2188
9 12.517 4.000 0.0396 0.1792 0.1138 0.0669 0.2188
12 15.646 5.000 0.0396 0.1792 0.1138 0.0669 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 0.01454 0.00000 0.00000 0.01581
3 3.129 1.000 0.00127 0.01454 0.00000 0.00000 0.01581
5 6.258 2.000 0.00127 0.01454 0.00000 0.00000 0.01581
7 9.387 3.000 0.00127 0.01454 0.00000 0.00000 0.01581
9 12.517 4.000 0.00127 0.01454 0.00000 0.00000 0.01581
12 15.646 5.000 0.00127 0.01454 0.00000 0.00000 0.01581
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 0.01581 0.00543
3 3.129 1.000 0.2188 2.9103 3.1291 0.9301 0.01581 0.00543
5 6.258 2.000 0.2188 2.9103 3.1291 0.9301 0.01581 0.00543
7 9.387 3.000 0.2188 2.9103 3.1291 0.9301 0.01581 0.00543
9 12.517 4.000 0.2188 2.9103 3.1291 0.9301 0.01581 0.00543
12 15.646 5.000 0.2188 2.9103 3.1291 0.9301 0.01581 0.00543
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 2.7002E-01 1.6890E+00 1.9590E+00 7.2419E-02 7.5107E-01 0.2682 0.4447 0.3464 9.6421E-02
1 0.00 0.00 7.5517E-02 9.6008E-01 1.0356E+00 3.0675E-02 7.0931E-01 0.4062 0.7388 0.6553 4.3246E-02
3 3.13 1.00 6.6313E-02 7.3355E-01 7.9987E-01 2.6149E-02 5.0455E-01 0.3943 0.6878 0.5981 5.1826E-02
5 6.26 2.00 5.4301E-02 5.2522E-01 5.7952E-01 2.2260E-02 3.5099E-01 0.4099 0.6683 0.5672 6.3422E-02
7 9.39 3.00 4.6207E-02 3.6504E-01 4.1124E-01 2.0674E-02 2.4228E-01 0.4474 0.6637 0.5389 8.5332E-02
9 12.52 4.00 4.4863E-02 2.5167E-01 2.9653E-01 2.2108E-02 1.6732E-01 0.4928 0.6648 0.4897 1.3213E-01
12 15.65 5.00 5.5441E-02 1.7513E-01 2.3058E-01 2.7721E-02 1.1631E-01 0.5000 0.6641 0.3842 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 0.14232 0.25959 0.25103 0.14165 0.32414 0.33240 0.13369
1.000 1.010 1.005 0.18449 0.30879 0.29848 0.17721 0.35496 0.36468 0.07698
2.000 2.010 2.005 0.19719 0.35373 0.33905 0.12947 0.36863 0.38484 -0.01540
3.000 3.010 3.005 0.10922 0.37063 0.34122 0.00804 0.37142 0.40539 -0.10311
4.000 4.010 4.005 -0.06579 0.37075 0.30458 -0.14553 0.36801 0.44643 -0.16195
4.990 5.000 4.995 -0.54334 0.33931 0.12779 -0.32236 0.35612 0.56747 -0.18774
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 3.78823E-03 7.51293E-04 4.53952E-03 5.04374E-03 0.021894
9 1 10.0 0.0 180.0 2.95997E-02 3.75653E-03 6.35518E-04 4.39205E-03 5.00154E-03 0.021470
9 4 10.0 45.0 135.0 3.06692E-02 3.75882E-03 6.64391E-04 4.42321E-03 5.00459E-03 0.021663
9 7 10.0 90.0 90.0 3.43289E-02 3.80062E-03 7.47181E-04 4.54780E-03 5.06024E-03 0.021765
8 1 20.0 0.0 180.0 2.84243E-02 3.73893E-03 6.17794E-04 4.35672E-03 4.97810E-03 0.021735
8 4 20.0 45.0 135.0 2.95736E-02 3.73309E-03 6.41296E-04 4.37439E-03 4.97034E-03 0.021685
8 7 20.0 90.0 90.0 3.48350E-02 3.82243E-03 7.61414E-04 4.58384E-03 5.08928E-03 0.021858
7 1 30.0 0.0 180.0 2.93780E-02 3.75656E-03 6.69596E-04 4.42615E-03 5.00158E-03 0.022792
7 4 30.0 45.0 135.0 3.01208E-02 3.78125E-03 6.86091E-04 4.46734E-03 5.03445E-03 0.022778
7 7 30.0 90.0 90.0 3.59932E-02 3.89856E-03 8.19700E-04 4.71826E-03 5.19064E-03 0.022774
6 1 40.0 0.0 180.0 3.29212E-02 3.72320E-03 8.75593E-04 4.59879E-03 4.95717E-03 0.026597
6 4 40.0 45.0 135.0 3.27160E-02 3.75379E-03 8.68482E-04 4.62227E-03 4.99790E-03 0.026546
6 7 40.0 90.0 90.0 3.82835E-02 3.91438E-03 1.00985E-03 4.92422E-03 5.21170E-03 0.026378
5 1 50.0 0.0 180.0 4.01261E-02 3.75675E-03 1.49756E-03 5.25431E-03 5.00184E-03 0.037321
5 4 50.0 45.0 135.0 3.82420E-02 3.77503E-03 1.42446E-03 5.19949E-03 5.02617E-03 0.037249
5 7 50.0 90.0 90.0 4.25171E-02 4.00929E-03 1.56679E-03 5.57608E-03 5.33808E-03 0.036851
4 1 60.0 0.0 180.0 5.33740E-02 3.69427E-03 3.66352E-03 7.35780E-03 4.91865E-03 0.068639
4 4 60.0 45.0 135.0 4.86874E-02 3.70772E-03 3.31440E-03 7.02213E-03 4.93656E-03 0.068075
4 7 60.0 90.0 90.0 5.02212E-02 4.02357E-03 3.35479E-03 7.37837E-03 5.35709E-03 0.066800
3 1 70.0 0.0 180.0 7.85982E-02 3.41598E-03 1.24922E-02 1.59081E-02 4.54813E-03 0.158937
3 4 70.0 45.0 135.0 6.89620E-02 3.47609E-03 1.08283E-02 1.43043E-02 4.62815E-03 0.157018
3 7 70.0 90.0 90.0 6.54729E-02 3.80974E-03 1.00902E-02 1.38999E-02 5.07239E-03 0.154112
2 1 80.0 0.0 180.0 1.34057E-01 2.78045E-03 4.35379E-02 4.63184E-02 3.70196E-03 0.324773
2 4 80.0 45.0 135.0 1.14297E-01 2.79689E-03 3.75169E-02 4.03138E-02 3.72385E-03 0.328240
2 7 80.0 90.0 90.0 9.97579E-02 3.14963E-03 3.32928E-02 3.64424E-02 4.19350E-03 0.333736
1 1 87.5 0.0 180.0 2.11126E-01 2.06054E-03 9.18545E-02 9.39151E-02 2.74346E-03 0.435070
1 4 87.5 45.0 135.0 1.77514E-01 2.02227E-03 8.16683E-02 8.36906E-02 2.69251E-03 0.460068
1 7 87.5 90.0 90.0 1.46461E-01 2.29376E-03 7.15357E-02 7.38294E-02 3.05397E-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 4.540E-03 3.431E-02 1.525E-01 1.101E-01 4.722E-01 6.044E-03 1.595E+01 3.788E-03 5.044E-03
1 0.00 0.00 7.004E-03 6.168E-02 1.241E-02 1.695E-02 4.070E-02 9.874E-03 4.380E+00
3 3.13 1.00 6.275E-03 7.553E-02 1.014E-02 1.515E-02 4.838E-02 1.244E-02 4.167E+00
5 6.26 2.00 6.076E-03 7.752E-02 8.328E-03 1.283E-02 3.876E-02 1.731E-02 3.664E+00
7 9.39 3.00 6.455E-03 7.130E-02 6.622E-03 1.011E-02 2.674E-02 2.664E-02 3.203E+00
9 12.52 4.00 7.388E-03 6.090E-02 5.516E-03 7.980E-03 1.772E-02 4.416E-02 2.992E+00
12 15.65 5.00 8.824E-03 4.942E-02 7.450E-03 8.246E-03 1.112E-02 7.586E-02 3.142E+00
Waveband 12 of 30 completed in 1.3 sec.
* * * * * Output for wavelength band 13 (520.0 to 530.0 nm; nominal wavelength = 525.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
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 0.0580 0.1997
3 3.081 1.000 0.0417 0.1580 0.0996 0.0580 0.1997
5 6.161 2.000 0.0417 0.1580 0.0996 0.0580 0.1997
7 9.242 3.000 0.0417 0.1580 0.0996 0.0580 0.1997
9 12.323 4.000 0.0417 0.1580 0.0996 0.0580 0.1997
12 15.403 5.000 0.0417 0.1580 0.0996 0.0580 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 0.01439 0.00000 0.00000 0.01556
3 3.081 1.000 0.00117 0.01439 0.00000 0.00000 0.01556
5 6.161 2.000 0.00117 0.01439 0.00000 0.00000 0.01556
7 9.242 3.000 0.00117 0.01439 0.00000 0.00000 0.01556
9 12.323 4.000 0.00117 0.01439 0.00000 0.00000 0.01556
12 15.403 5.000 0.00117 0.01439 0.00000 0.00000 0.01556
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 0.01556 0.00540
3 3.081 1.000 0.1997 2.8809 3.0806 0.9352 0.01556 0.00540
5 6.161 2.000 0.1997 2.8809 3.0806 0.9352 0.01556 0.00540
7 9.242 3.000 0.1997 2.8809 3.0806 0.9352 0.01556 0.00540
9 12.323 4.000 0.1997 2.8809 3.0806 0.9352 0.01556 0.00540
12 15.403 5.000 0.1997 2.8809 3.0806 0.9352 0.01556 0.00540
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 2.7703E-01 1.7253E+00 2.0023E+00 7.5835E-02 7.6942E-01 0.2737 0.4460 0.3464 9.8561E-02
1 0.00 0.00 8.5649E-02 9.9062E-01 1.0763E+00 3.5318E-02 7.2889E-01 0.4124 0.7358 0.6444 4.8455E-02
3 3.08 1.00 7.7300E-02 7.7709E-01 8.5439E-01 3.1109E-02 5.3238E-01 0.4024 0.6851 0.5867 5.8434E-02
5 6.16 2.00 6.5580E-02 5.7288E-01 6.3846E-01 2.7424E-02 3.8064E-01 0.4182 0.6644 0.5532 7.2046E-02
7 9.24 3.00 5.7585E-02 4.0988E-01 4.6747E-01 2.6106E-02 2.7001E-01 0.4533 0.6588 0.5218 9.6684E-02
9 12.32 4.00 5.6784E-02 2.9069E-01 3.4748E-01 2.8052E-02 1.9155E-01 0.4940 0.6589 0.4705 1.4645E-01
12 15.40 5.00 6.9138E-02 2.0792E-01 2.7706E-01 3.4569E-02 1.3671E-01 0.5000 0.6575 0.3687 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 0.12629 0.24049 0.23140 0.11492 0.29907 0.30846 0.09743
1.000 1.010 1.005 0.15048 0.28006 0.26833 0.14109 0.32769 0.33928 0.04633
2.000 2.010 2.005 0.16198 0.32444 0.30774 0.09770 0.34119 0.36012 -0.03075
3.000 3.010 3.005 0.08373 0.34197 0.31013 -0.00764 0.34437 0.38212 -0.10220
4.000 4.010 4.005 -0.06912 0.34283 0.27539 -0.13909 0.34141 0.42408 -0.15015
4.990 5.000 4.995 -0.48402 0.31339 0.11500 -0.29212 0.33011 0.53982 -0.17132
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 4.52256E-03 7.48969E-04 5.27153E-03 5.87789E-03 0.021894
9 1 10.0 0.0 180.0 2.95081E-02 4.47866E-03 6.33552E-04 5.11221E-03 5.82083E-03 0.021470
9 4 10.0 45.0 135.0 3.05743E-02 4.48216E-03 6.62336E-04 5.14450E-03 5.82538E-03 0.021663
9 7 10.0 90.0 90.0 3.42227E-02 4.53261E-03 7.44869E-04 5.27748E-03 5.89095E-03 0.021765
8 1 20.0 0.0 180.0 2.83364E-02 4.44749E-03 6.15883E-04 5.06337E-03 5.78032E-03 0.021735
8 4 20.0 45.0 135.0 2.94821E-02 4.44227E-03 6.39313E-04 5.08159E-03 5.77354E-03 0.021685
8 7 20.0 90.0 90.0 3.47272E-02 4.54974E-03 7.59059E-04 5.30879E-03 5.91320E-03 0.021858
7 1 30.0 0.0 180.0 2.92871E-02 4.45622E-03 6.67524E-04 5.12375E-03 5.79167E-03 0.022792
7 4 30.0 45.0 135.0 3.00276E-02 4.48828E-03 6.83969E-04 5.17225E-03 5.83333E-03 0.022778
7 7 30.0 90.0 90.0 3.58819E-02 4.62921E-03 8.17164E-04 5.44637E-03 6.01649E-03 0.022774
6 1 40.0 0.0 180.0 3.28193E-02 4.39183E-03 8.72884E-04 5.26472E-03 5.70798E-03 0.026597
6 4 40.0 45.0 135.0 3.26148E-02 4.43223E-03 8.65795E-04 5.29803E-03 5.76048E-03 0.026546
6 7 40.0 90.0 90.0 3.81651E-02 4.62392E-03 1.00672E-03 5.63064E-03 6.00961E-03 0.026378
5 1 50.0 0.0 180.0 4.00020E-02 4.41082E-03 1.49292E-03 5.90375E-03 5.73266E-03 0.037321
5 4 50.0 45.0 135.0 3.81237E-02 4.43753E-03 1.42006E-03 5.85759E-03 5.76737E-03 0.037249
5 7 50.0 90.0 90.0 4.23856E-02 4.71470E-03 1.56193E-03 6.27663E-03 6.12761E-03 0.036850
4 1 60.0 0.0 180.0 5.32089E-02 4.31466E-03 3.65220E-03 7.96686E-03 5.60769E-03 0.068639
4 4 60.0 45.0 135.0 4.85374E-02 4.33653E-03 3.30416E-03 7.64069E-03 5.63610E-03 0.068075
4 7 60.0 90.0 90.0 5.00625E-02 4.70810E-03 3.34437E-03 8.05247E-03 6.11902E-03 0.066804
3 1 70.0 0.0 180.0 7.83551E-02 3.96960E-03 1.24535E-02 1.64231E-02 5.15921E-03 0.158937
3 4 70.0 45.0 135.0 6.87487E-02 4.04565E-03 1.07948E-02 1.48404E-02 5.25806E-03 0.157018
3 7 70.0 90.0 90.0 6.52704E-02 4.43540E-03 1.00589E-02 1.44943E-02 5.76460E-03 0.154111
2 1 80.0 0.0 180.0 1.33642E-01 3.21467E-03 4.34033E-02 4.66179E-02 4.17804E-03 0.324773
2 4 80.0 45.0 135.0 1.13944E-01 3.23907E-03 3.74009E-02 4.06399E-02 4.20976E-03 0.328240
2 7 80.0 90.0 90.0 9.94493E-02 3.64904E-03 3.31898E-02 3.68388E-02 4.74259E-03 0.333735
1 1 87.5 0.0 180.0 2.10473E-01 2.37580E-03 9.15704E-02 9.39462E-02 3.08777E-03 0.435070
1 4 87.5 45.0 135.0 1.76965E-01 2.33575E-03 8.14157E-02 8.37515E-02 3.03573E-03 0.460068
1 7 87.5 90.0 90.0 1.46008E-01 2.65088E-03 7.13144E-02 7.39653E-02 3.44530E-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 5.272E-03 3.421E-02 1.522E-01 1.100E-01 4.733E-01 6.851E-03 1.439E+01 4.523E-03 5.878E-03
1 0.00 0.00 8.362E-03 6.152E-02 1.382E-02 1.891E-02 4.481E-02 1.147E-02 4.224E+00
3 3.08 1.00 7.756E-03 7.749E-02 1.140E-02 1.704E-02 5.382E-02 1.457E-02 4.011E+00
5 6.16 2.00 7.687E-03 8.167E-02 9.664E-03 1.487E-02 4.465E-02 2.019E-02 3.568E+00
7 9.24 3.00 8.225E-03 7.710E-02 7.953E-03 1.211E-02 3.192E-02 3.046E-02 3.174E+00
9 12.32 4.00 9.349E-03 6.758E-02 6.852E-03 9.873E-03 2.187E-02 4.881E-02 3.000E+00
12 15.40 5.00 1.100E-02 5.628E-02 9.327E-03 1.033E-02 1.397E-02 8.049E-02 3.142E+00
Waveband 13 of 30 completed in 1.3 sec.
* * * * * Output for wavelength band 14 (530.0 to 540.0 nm; nominal wavelength = 535.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
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 0.0511 0.1850
3 3.033 1.000 0.0452 0.1398 0.0880 0.0511 0.1850
5 6.066 2.000 0.0452 0.1398 0.0880 0.0511 0.1850
7 9.098 3.000 0.0452 0.1398 0.0880 0.0511 0.1850
9 12.131 4.000 0.0452 0.1398 0.0880 0.0511 0.1850
12 15.164 5.000 0.0452 0.1398 0.0880 0.0511 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 0.01423 0.00000 0.00000 0.01531
3 3.033 1.000 0.00108 0.01423 0.00000 0.00000 0.01531
5 6.066 2.000 0.00108 0.01423 0.00000 0.00000 0.01531
7 9.098 3.000 0.00108 0.01423 0.00000 0.00000 0.01531
9 12.131 4.000 0.00108 0.01423 0.00000 0.00000 0.01531
12 15.164 5.000 0.00108 0.01423 0.00000 0.00000 0.01531
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 0.01531 0.00537
3 3.033 1.000 0.1850 2.8478 3.0328 0.9390 0.01531 0.00537
5 6.066 2.000 0.1850 2.8478 3.0328 0.9390 0.01531 0.00537
7 9.098 3.000 0.1850 2.8478 3.0328 0.9390 0.01531 0.00537
9 12.131 4.000 0.1850 2.8478 3.0328 0.9390 0.01531 0.00537
12 15.164 5.000 0.1850 2.8478 3.0328 0.9390 0.01531 0.00537
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 2.8098E-01 1.7423E+00 2.0232E+00 7.8398E-02 7.7910E-01 0.2790 0.4472 0.3463 1.0063E-01
1 0.00 0.00 9.4389E-02 1.0095E+00 1.1039E+00 3.9445E-02 7.4013E-01 0.4179 0.7331 0.6347 5.3294E-02
3 3.03 1.00 8.6995E-02 8.0806E-01 8.9505E-01 3.5636E-02 5.5184E-01 0.4096 0.6829 0.5767 6.4578E-02
5 6.07 2.00 7.5878E-02 6.0949E-01 6.8536E-01 3.2272E-02 4.0313E-01 0.4253 0.6614 0.5411 8.0053E-02
7 9.10 3.00 6.8279E-02 4.4618E-01 5.1446E-01 3.1302E-02 2.9216E-01 0.4584 0.6548 0.5071 1.0714E-01
9 12.13 4.00 6.8167E-02 3.2360E-01 3.9177E-01 3.3766E-02 2.1169E-01 0.4954 0.6542 0.4541 1.5951E-01
12 15.16 5.00 8.2189E-02 2.3655E-01 3.1874E-01 4.1094E-02 1.5426E-01 0.5000 0.6521 0.3551 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 0.11352 0.22643 0.21677 0.09406 0.27966 0.29012 0.07011
1.000 1.010 1.005 0.12402 0.25773 0.24473 0.11314 0.30639 0.31974 0.02416
2.000 2.010 2.005 0.13446 0.30137 0.28288 0.07346 0.31964 0.34109 -0.04137
3.000 3.010 3.005 0.06390 0.31931 0.28538 -0.01956 0.32307 0.36426 -0.10111
4.000 4.010 4.005 -0.07246 0.32070 0.25218 -0.13467 0.32043 0.40704 -0.14122
4.990 5.000 4.995 -0.44498 0.29263 0.10295 -0.27029 0.30956 0.51929 -0.15894
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 5.21446E-03 7.38863E-04 5.95332E-03 6.69292E-03 0.021894
9 1 10.0 0.0 180.0 2.91100E-02 5.15927E-03 6.25003E-04 5.78427E-03 6.62209E-03 0.021470
9 4 10.0 45.0 135.0 3.01618E-02 5.16366E-03 6.53399E-04 5.81706E-03 6.62773E-03 0.021663
9 7 10.0 90.0 90.0 3.37609E-02 5.22143E-03 7.34819E-04 5.95625E-03 6.70187E-03 0.021765
8 1 20.0 0.0 180.0 2.79540E-02 5.11420E-03 6.07573E-04 5.72177E-03 6.56423E-03 0.021735
8 4 20.0 45.0 135.0 2.90843E-02 5.10925E-03 6.30686E-04 5.73994E-03 6.55789E-03 0.021685
8 7 20.0 90.0 90.0 3.42586E-02 5.23242E-03 7.48817E-04 5.98124E-03 6.71598E-03 0.021858
7 1 30.0 0.0 180.0 2.88919E-02 5.11295E-03 6.58517E-04 5.77147E-03 6.56263E-03 0.022792
7 4 30.0 45.0 135.0 2.96225E-02 5.15158E-03 6.74740E-04 5.82632E-03 6.61222E-03 0.022778
7 7 30.0 90.0 90.0 3.53977E-02 5.31282E-03 8.06138E-04 6.11896E-03 6.81917E-03 0.022774
6 1 40.0 0.0 180.0 3.23765E-02 5.01553E-03 8.61105E-04 5.87664E-03 6.43760E-03 0.026597
6 4 40.0 45.0 135.0 3.21748E-02 5.06472E-03 8.54113E-04 5.91883E-03 6.50073E-03 0.026546
6 7 40.0 90.0 90.0 3.76501E-02 5.28281E-03 9.93139E-04 6.27595E-03 6.78066E-03 0.026378
5 1 50.0 0.0 180.0 3.94622E-02 5.01716E-03 1.47278E-03 6.48994E-03 6.43969E-03 0.037321
5 4 50.0 45.0 135.0 3.76093E-02 5.05132E-03 1.40090E-03 6.45222E-03 6.48354E-03 0.037249
5 7 50.0 90.0 90.0 4.18137E-02 5.36504E-03 1.54084E-03 6.90588E-03 6.88620E-03 0.036850
4 1 60.0 0.0 180.0 5.24909E-02 4.88540E-03 3.60293E-03 8.48833E-03 6.27057E-03 0.068639
4 4 60.0 45.0 135.0 4.78830E-02 4.91468E-03 3.25958E-03 8.17426E-03 6.30815E-03 0.068074
4 7 60.0 90.0 90.0 4.93838E-02 5.33384E-03 3.29920E-03 8.63305E-03 6.84616E-03 0.066807
3 1 70.0 0.0 180.0 7.72978E-02 4.47458E-03 1.22855E-02 1.67600E-02 5.74326E-03 0.158937
3 4 70.0 45.0 135.0 6.78210E-02 4.56489E-03 1.06491E-02 1.52140E-02 5.85919E-03 0.157018
3 7 70.0 90.0 90.0 6.43896E-02 5.00196E-03 9.92309E-03 1.49251E-02 6.42017E-03 0.154110
2 1 80.0 0.0 180.0 1.31839E-01 3.60707E-03 4.28176E-02 4.64247E-02 4.62979E-03 0.324773
2 4 80.0 45.0 135.0 1.12406E-01 3.63846E-03 3.68962E-02 4.05347E-02 4.67007E-03 0.328240
2 7 80.0 90.0 90.0 9.81074E-02 4.09688E-03 3.27419E-02 3.68388E-02 5.25847E-03 0.333735
1 1 87.5 0.0 180.0 2.07633E-01 2.65915E-03 9.03348E-02 9.29939E-02 3.41311E-03 0.435070
1 4 87.5 45.0 135.0 1.74577E-01 2.61739E-03 8.03171E-02 8.29345E-02 3.35951E-03 0.460068
1 7 87.5 90.0 90.0 1.44038E-01 2.96947E-03 7.03521E-02 7.33216E-02 3.81141E-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 5.953E-03 3.375E-02 1.503E-01 1.087E-01 4.695E-01 7.641E-03 1.317E+01 5.214E-03 6.693E-03
1 0.00 0.00 9.642E-03 6.072E-02 1.499E-02 2.054E-02 4.811E-02 1.303E-02 4.091E+00
3 3.03 1.00 9.174E-03 7.823E-02 1.244E-02 1.857E-02 5.813E-02 1.662E-02 3.885E+00
5 6.07 2.00 9.246E-03 8.422E-02 1.080E-02 1.658E-02 4.957E-02 2.293E-02 3.491E+00
7 9.10 3.00 9.938E-03 8.118E-02 9.134E-03 1.387E-02 3.647E-02 3.402E-02 3.150E+00
9 12.13 4.00 1.124E-02 7.265E-02 8.084E-03 1.160E-02 2.568E-02 5.308E-02 3.005E+00
12 15.16 5.00 1.308E-02 6.177E-02 1.111E-02 1.229E-02 1.665E-02 8.479E-02 3.142E+00
Waveband 14 of 30 completed in 1.3 sec.
* * * * * Output for wavelength band 15 (540.0 to 550.0 nm; nominal wavelength = 545.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
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 0.0442 0.1739
3 2.987 1.000 0.0511 0.1228 0.0776 0.0442 0.1739
5 5.975 2.000 0.0511 0.1228 0.0776 0.0442 0.1739
7 8.962 3.000 0.0511 0.1228 0.0776 0.0442 0.1739
9 11.949 4.000 0.0511 0.1228 0.0776 0.0442 0.1739
12 14.936 5.000 0.0511 0.1228 0.0776 0.0442 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 0.01406 0.00000 0.00000 0.01505
3 2.987 1.000 0.00100 0.01406 0.00000 0.00000 0.01505
5 5.975 2.000 0.00100 0.01406 0.00000 0.00000 0.01505
7 8.962 3.000 0.00100 0.01406 0.00000 0.00000 0.01505
9 11.949 4.000 0.00100 0.01406 0.00000 0.00000 0.01505
12 14.936 5.000 0.00100 0.01406 0.00000 0.00000 0.01505
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 0.01505 0.00535
3 2.987 1.000 0.1739 2.8134 2.9873 0.9418 0.01505 0.00535
5 5.975 2.000 0.1739 2.8134 2.9873 0.9418 0.01505 0.00535
7 8.962 3.000 0.1739 2.8134 2.9873 0.9418 0.01505 0.00535
9 11.949 4.000 0.1739 2.8134 2.9873 0.9418 0.01505 0.00535
12 14.936 5.000 0.1739 2.8134 2.9873 0.9418 0.01505 0.00535
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 2.7823E-01 1.7186E+00 1.9968E+00 7.9016E-02 7.7050E-01 0.2840 0.4483 0.3463 1.0255E-01
1 0.00 0.00 1.0002E-01 1.0040E+00 1.1040E+00 4.2304E-02 7.3378E-01 0.4230 0.7309 0.6263 5.7652E-02
3 2.99 1.00 9.3712E-02 8.1582E-01 9.0953E-01 3.9000E-02 5.5577E-01 0.4162 0.6812 0.5682 7.0173E-02
5 5.97 2.00 8.3578E-02 6.2624E-01 7.0982E-01 3.6096E-02 4.1277E-01 0.4319 0.6591 0.5307 8.7447E-02
7 8.96 3.00 7.6755E-02 4.6666E-01 5.4342E-01 3.5569E-02 3.0415E-01 0.4634 0.6517 0.4942 1.1695E-01
9 11.95 4.00 7.7535E-02 3.4442E-01 4.2196E-01 3.8558E-02 2.2401E-01 0.4973 0.6504 0.4395 1.7213E-01
12 14.94 5.00 9.3178E-02 2.5613E-01 3.4931E-01 4.6589E-02 1.6590E-01 0.5000 0.6477 0.3416 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 0.10379 0.21626 0.20607 0.07739 0.26492 0.27640 0.04860
1.000 1.010 1.005 0.10300 0.24072 0.22652 0.09072 0.29005 0.30511 0.00681
2.000 2.010 2.005 0.11203 0.28354 0.26333 0.05359 0.30302 0.32695 -0.05006
3.000 3.010 3.005 0.04679 0.30166 0.26562 -0.03037 0.30660 0.35131 -0.10111
4.000 4.010 4.005 -0.07780 0.30342 0.23326 -0.13343 0.30417 0.39540 -0.13525
4.990 5.000 4.995 -0.42878 0.27537 0.08802 -0.25668 0.29342 0.50740 -0.15010
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 5.75638E-03 7.12302E-04 6.46868E-03 7.47093E-03 0.021894
9 1 10.0 0.0 180.0 2.80635E-02 5.69215E-03 6.02535E-04 6.29468E-03 7.38757E-03 0.021470
9 4 10.0 45.0 135.0 2.90775E-02 5.69697E-03 6.29910E-04 6.32688E-03 7.39383E-03 0.021663
9 7 10.0 90.0 90.0 3.25472E-02 5.75946E-03 7.08403E-04 6.46786E-03 7.47492E-03 0.021765
8 1 20.0 0.0 180.0 2.69491E-02 5.63405E-03 5.85731E-04 6.21978E-03 7.31216E-03 0.021735
8 4 20.0 45.0 135.0 2.80387E-02 5.62901E-03 6.08013E-04 6.23702E-03 7.30562E-03 0.021685
8 7 20.0 90.0 90.0 3.30271E-02 5.76283E-03 7.21897E-04 6.48473E-03 7.47930E-03 0.021858
7 1 30.0 0.0 180.0 2.78533E-02 5.62211E-03 6.34844E-04 6.25696E-03 7.29667E-03 0.022792
7 4 30.0 45.0 135.0 2.85576E-02 5.66553E-03 6.50484E-04 6.31601E-03 7.35301E-03 0.022778
7 7 30.0 90.0 90.0 3.41252E-02 5.84033E-03 7.77158E-04 6.61749E-03 7.57989E-03 0.022774
6 1 40.0 0.0 180.0 3.12126E-02 5.49243E-03 8.30149E-04 6.32258E-03 7.12836E-03 0.026597
6 4 40.0 45.0 135.0 3.10181E-02 5.54807E-03 8.23408E-04 6.37148E-03 7.20058E-03 0.026546
6 7 40.0 90.0 90.0 3.62966E-02 5.78327E-03 9.57435E-04 6.74070E-03 7.50583E-03 0.026378
5 1 50.0 0.0 180.0 3.80436E-02 5.47462E-03 1.41983E-03 6.89446E-03 7.10525E-03 0.037321
5 4 50.0 45.0 135.0 3.62573E-02 5.51419E-03 1.35054E-03 6.86473E-03 7.15661E-03 0.037249
5 7 50.0 90.0 90.0 4.03105E-02 5.85163E-03 1.48544E-03 7.33706E-03 7.59454E-03 0.036850
4 1 60.0 0.0 180.0 5.06039E-02 5.30886E-03 3.47341E-03 8.78227E-03 6.89011E-03 0.068639
4 4 60.0 45.0 135.0 4.61621E-02 5.34352E-03 3.14241E-03 8.48593E-03 6.93510E-03 0.068073
4 7 60.0 90.0 90.0 4.76054E-02 5.79364E-03 3.18056E-03 8.97420E-03 7.51929E-03 0.066811
3 1 70.0 0.0 180.0 7.45190E-02 4.84246E-03 1.18438E-02 1.66863E-02 6.28479E-03 0.158937
3 4 70.0 45.0 135.0 6.53829E-02 4.94309E-03 1.02663E-02 1.52094E-02 6.41540E-03 0.157018
3 7 70.0 90.0 90.0 6.20749E-02 5.41002E-03 9.56631E-03 1.49763E-02 7.02141E-03 0.154109
2 1 80.0 0.0 180.0 1.27099E-01 3.88712E-03 4.12784E-02 4.51655E-02 5.04490E-03 0.324773
2 4 80.0 45.0 135.0 1.08365E-01 3.92350E-03 3.55698E-02 3.94933E-02 5.09212E-03 0.328240
2 7 80.0 90.0 90.0 9.45805E-02 4.41261E-03 3.15648E-02 3.59774E-02 5.72691E-03 0.333735
1 1 87.5 0.0 180.0 2.00168E-01 2.85896E-03 8.70873E-02 8.99463E-02 3.71051E-03 0.435070
1 4 87.5 45.0 135.0 1.68301E-01 2.81606E-03 7.74298E-02 8.02459E-02 3.65484E-03 0.460068
1 7 87.5 90.0 90.0 1.38860E-01 3.19153E-03 6.78230E-02 7.10145E-02 4.14214E-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 6.469E-03 3.253E-02 1.451E-01 1.049E-01 4.550E-01 8.395E-03 1.222E+01 5.756E-03 7.471E-03
1 0.00 0.00 1.064E-02 5.856E-02 1.566E-02 2.147E-02 4.983E-02 1.451E-02 3.974E+00
3 2.99 1.00 1.033E-02 7.685E-02 1.304E-02 1.944E-02 6.040E-02 1.859E-02 3.775E+00
5 5.97 2.00 1.055E-02 8.413E-02 1.153E-02 1.767E-02 5.262E-02 2.556E-02 3.421E+00
7 8.96 3.00 1.139E-02 8.245E-02 9.965E-03 1.508E-02 3.961E-02 3.745E-02 3.123E+00
9 11.95 4.00 1.284E-02 7.502E-02 9.018E-03 1.289E-02 2.850E-02 5.731E-02 3.004E+00
12 14.94 5.00 1.483E-02 6.484E-02 1.258E-02 1.389E-02 1.882E-02 8.939E-02 3.142E+00
Waveband 15 of 30 completed in 1.3 sec.
* * * * * Output for wavelength band 16 (550.0 to 560.0 nm; nominal wavelength = 555.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
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 0.0369 0.1694
3 2.951 1.000 0.0596 0.1098 0.0696 0.0369 0.1694
5 5.902 2.000 0.0596 0.1098 0.0696 0.0369 0.1694
7 8.854 3.000 0.0596 0.1098 0.0696 0.0369 0.1694
9 11.805 4.000 0.0596 0.1098 0.0696 0.0369 0.1694
12 14.756 5.000 0.0596 0.1098 0.0696 0.0369 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 0.01390 0.00000 0.00000 0.01482
3 2.951 1.000 0.00092 0.01390 0.00000 0.00000 0.01482
5 5.902 2.000 0.00092 0.01390 0.00000 0.00000 0.01482
7 8.854 3.000 0.00092 0.01390 0.00000 0.00000 0.01482
9 11.805 4.000 0.00092 0.01390 0.00000 0.00000 0.01482
12 14.756 5.000 0.00092 0.01390 0.00000 0.00000 0.01482
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 0.01482 0.00533
3 2.951 1.000 0.1694 2.7818 2.9512 0.9426 0.01482 0.00533
5 5.902 2.000 0.1694 2.7818 2.9512 0.9426 0.01482 0.00533
7 8.854 3.000 0.1694 2.7818 2.9512 0.9426 0.01482 0.00533
9 11.805 4.000 0.1694 2.7818 2.9512 0.9426 0.01482 0.00533
12 14.756 5.000 0.1694 2.7818 2.9512 0.9426 0.01482 0.00533
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 2.7581E-01 1.7054E+00 1.9812E+00 7.9306E-02 7.6644E-01 0.2875 0.4494 0.3468 1.0347E-01
1 0.00 0.00 1.0240E-01 1.0012E+00 1.1036E+00 4.3662E-02 7.3078E-01 0.4264 0.7299 0.6226 5.9747E-02
3 2.95 1.00 9.6859E-02 8.1851E-01 9.1537E-01 4.0769E-02 5.5721E-01 0.4209 0.6808 0.5642 7.3166E-02
5 5.90 2.00 8.7610E-02 6.3310E-01 7.2071E-01 3.8310E-02 4.1682E-01 0.4373 0.6584 0.5252 9.1910E-02
7 8.85 3.00 8.1691E-02 4.7551E-01 5.5720E-01 3.8271E-02 3.0935E-01 0.4685 0.6506 0.4865 1.2371E-01
9 11.80 4.00 8.3616E-02 3.5373E-01 4.3735E-01 4.1866E-02 2.2949E-01 0.5007 0.6488 0.4290 1.8243E-01
12 14.76 5.00 1.0152E-01 2.6527E-01 3.6679E-01 5.0761E-02 1.7122E-01 0.5000 0.6454 0.3284 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 0.09702 0.21214 0.20145 0.06688 0.25875 0.27095 0.03403
1.000 1.010 1.005 0.09048 0.23355 0.21840 0.07607 0.28303 0.29938 -0.00621
2.000 2.010 2.005 0.09687 0.27570 0.25394 0.03853 0.29579 0.32186 -0.05876
3.000 3.010 3.005 0.03207 0.29378 0.25536 -0.04213 0.29939 0.34770 -0.10496
4.000 4.010 4.005 -0.08897 0.29547 0.22186 -0.13959 0.29695 0.39463 -0.13533
4.990 5.000 4.995 -0.45586 0.26444 0.06559 -0.25851 0.28562 0.51403 -0.14790
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 6.07357E-03 6.91339E-04 6.76491E-03 7.92436E-03 0.021894
9 1 10.0 0.0 180.0 2.72376E-02 6.00371E-03 5.84803E-04 6.58851E-03 7.83321E-03 0.021470
9 4 10.0 45.0 135.0 2.82217E-02 6.00838E-03 6.11372E-04 6.61975E-03 7.83931E-03 0.021663
9 7 10.0 90.0 90.0 3.15894E-02 6.07247E-03 6.87555E-04 6.76003E-03 7.92293E-03 0.021765
8 1 20.0 0.0 180.0 2.61560E-02 5.93548E-03 5.68494E-04 6.50397E-03 7.74419E-03 0.021735
8 4 20.0 45.0 135.0 2.72136E-02 5.92979E-03 5.90120E-04 6.51991E-03 7.73677E-03 0.021685
8 7 20.0 90.0 90.0 3.20551E-02 6.06795E-03 7.00653E-04 6.76861E-03 7.91704E-03 0.021858
7 1 30.0 0.0 180.0 2.70336E-02 5.91396E-03 6.16161E-04 6.53012E-03 7.71611E-03 0.022792
7 4 30.0 45.0 135.0 2.77171E-02 5.95936E-03 6.31340E-04 6.59070E-03 7.77535E-03 0.022778
7 7 30.0 90.0 90.0 3.31209E-02 6.13945E-03 7.54287E-04 6.89374E-03 8.01032E-03 0.022774
6 1 40.0 0.0 180.0 3.02940E-02 5.75818E-03 8.05718E-04 6.56389E-03 7.51286E-03 0.026597
6 4 40.0 45.0 135.0 3.01053E-02 5.81646E-03 7.99176E-04 6.61564E-03 7.58891E-03 0.026546
6 7 40.0 90.0 90.0 3.52284E-02 6.05778E-03 9.29258E-04 6.98704E-03 7.90377E-03 0.026378
5 1 50.0 0.0 180.0 3.69240E-02 5.72277E-03 1.37805E-03 7.10082E-03 7.46666E-03 0.037321
5 4 50.0 45.0 135.0 3.51903E-02 5.76423E-03 1.31080E-03 7.07503E-03 7.52076E-03 0.037249
5 7 50.0 90.0 90.0 3.91242E-02 6.11049E-03 1.44171E-03 7.55220E-03 7.97253E-03 0.036850
4 1 60.0 0.0 180.0 4.91147E-02 5.53068E-03 3.37120E-03 8.90188E-03 7.21604E-03 0.068639
4 4 60.0 45.0 135.0 4.48041E-02 5.56710E-03 3.04994E-03 8.61704E-03 7.26356E-03 0.068073
4 7 60.0 90.0 90.0 4.62014E-02 6.02910E-03 3.08692E-03 9.11602E-03 7.86634E-03 0.066814
3 1 70.0 0.0 180.0 7.23260E-02 5.02808E-03 1.14952E-02 1.65233E-02 6.56028E-03 0.158936
3 4 70.0 45.0 135.0 6.34587E-02 5.13292E-03 9.96417E-03 1.50971E-02 6.69707E-03 0.157018
3 7 70.0 90.0 90.0 6.02481E-02 5.61069E-03 9.28473E-03 1.48954E-02 7.32044E-03 0.154108
2 1 80.0 0.0 180.0 1.23359E-01 4.02228E-03 4.00636E-02 4.40859E-02 5.24798E-03 0.324773
2 4 80.0 45.0 135.0 1.05176E-01 4.06032E-03 3.45230E-02 3.85834E-02 5.29762E-03 0.328240
2 7 80.0 90.0 90.0 9.17971E-02 4.56094E-03 3.06358E-02 3.51968E-02 5.95079E-03 0.333734
1 1 87.5 0.0 180.0 1.94278E-01 2.95291E-03 8.45244E-02 8.74773E-02 3.85274E-03 0.435070
1 4 87.5 45.0 135.0 1.63348E-01 2.90900E-03 7.51511E-02 7.80601E-02 3.79546E-03 0.460068
1 7 87.5 90.0 90.0 1.34773E-01 3.29337E-03 6.58270E-02 6.91204E-02 4.29696E-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 6.765E-03 3.158E-02 1.409E-01 1.019E-01 4.439E-01 8.826E-03 1.172E+01 6.074E-03 7.924E-03
1 0.00 0.00 1.123E-02 5.686E-02 1.584E-02 2.175E-02 5.042E-02 1.537E-02 3.888E+00
3 2.95 1.00 1.106E-02 7.542E-02 1.320E-02 1.969E-02 6.120E-02 1.984E-02 3.687E+00
5 5.90 2.00 1.142E-02 8.333E-02 1.178E-02 1.805E-02 5.386E-02 2.739E-02 3.356E+00
7 8.85 3.00 1.240E-02 8.237E-02 1.031E-02 1.558E-02 4.101E-02 4.009E-02 3.086E+00
9 11.80 4.00 1.400E-02 7.559E-02 9.471E-03 1.350E-02 2.986E-02 6.102E-02 2.990E+00
12 14.76 5.00 1.616E-02 6.588E-02 1.359E-02 1.498E-02 2.020E-02 9.437E-02 3.142E+00
Waveband 16 of 30 completed in 1.3 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 0.0314 0.1607
3 2.913 1.000 0.0642 0.0965 0.0628 0.0314 0.1607
5 5.825 2.000 0.0642 0.0965 0.0628 0.0314 0.1607
7 8.738 3.000 0.0642 0.0965 0.0628 0.0314 0.1607
9 11.651 4.000 0.0642 0.0965 0.0628 0.0314 0.1607
12 14.563 5.000 0.0642 0.0965 0.0628 0.0314 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 0.01375 0.00000 0.00000 0.01460
3 2.913 1.000 0.00085 0.01375 0.00000 0.00000 0.01460
5 5.825 2.000 0.00085 0.01375 0.00000 0.00000 0.01460
7 8.738 3.000 0.00085 0.01375 0.00000 0.00000 0.01460
9 11.651 4.000 0.00085 0.01375 0.00000 0.00000 0.01460
12 14.563 5.000 0.00085 0.01375 0.00000 0.00000 0.01460
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 0.01460 0.00531
3 2.913 1.000 0.1607 2.7520 2.9127 0.9448 0.01460 0.00531
5 5.825 2.000 0.1607 2.7520 2.9127 0.9448 0.01460 0.00531
7 8.738 3.000 0.1607 2.7520 2.9127 0.9448 0.01460 0.00531
9 11.651 4.000 0.1607 2.7520 2.9127 0.9448 0.01460 0.00531
12 14.563 5.000 0.1607 2.7520 2.9127 0.9448 0.01460 0.00531
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 2.7394E-01 1.6854E+00 1.9593E+00 8.0127E-02 7.5922E-01 0.2925 0.4505 0.3466 1.0554E-01
1 0.00 0.00 1.0797E-01 9.9706E-01 1.1050E+00 4.6560E-02 7.2564E-01 0.4312 0.7278 0.6145 6.4165E-02
3 2.91 1.00 1.0345E-01 8.2467E-01 9.2813E-01 4.4175E-02 5.6017E-01 0.4270 0.6793 0.5560 7.8860E-02
5 5.83 2.00 9.5251E-02 6.4677E-01 7.4202E-01 4.2217E-02 4.2456E-01 0.4432 0.6564 0.5153 9.9438E-02
7 8.74 3.00 9.0255E-02 4.9272E-01 5.8298E-01 4.2681E-02 3.1927E-01 0.4729 0.6480 0.4745 1.3368E-01
9 11.65 4.00 9.3248E-02 3.7172E-01 4.6497E-01 4.6861E-02 2.3997E-01 0.5025 0.6455 0.4153 1.9528E-01
12 14.56 5.00 1.1303E-01 2.8269E-01 3.9572E-01 5.6515E-02 1.8138E-01 0.5000 0.6416 0.3155 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 0.08878 0.20480 0.19345 0.05345 0.24719 0.26049 0.01805
1.000 1.010 1.005 0.07376 0.22022 0.20388 0.05850 0.27013 0.28827 -0.01840
2.000 2.010 2.005 0.07906 0.26153 0.23808 0.02335 0.28260 0.31127 -0.06440
3.000 3.010 3.005 0.01863 0.27963 0.23918 -0.05019 0.28625 0.33827 -0.10441
4.000 4.010 4.005 -0.09346 0.28150 0.20619 -0.13867 0.28393 0.38675 -0.13056
4.990 5.000 4.995 -0.44715 0.24995 0.05133 -0.24861 0.27255 0.50754 -0.14106
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 6.64699E-03 6.68449E-04 7.31544E-03 8.75501E-03 0.021894
9 1 10.0 0.0 180.0 2.63358E-02 6.56854E-03 5.65440E-04 7.13398E-03 8.65168E-03 0.021470
9 4 10.0 45.0 135.0 2.72873E-02 6.57330E-03 5.91130E-04 7.16443E-03 8.65796E-03 0.021663
9 7 10.0 90.0 90.0 3.05435E-02 6.64136E-03 6.64790E-04 7.30615E-03 8.74760E-03 0.021765
8 1 20.0 0.0 180.0 2.52900E-02 6.48653E-03 5.49671E-04 7.03620E-03 8.54366E-03 0.021735
8 4 20.0 45.0 135.0 2.63125E-02 6.48019E-03 5.70582E-04 7.05077E-03 8.53531E-03 0.021685
8 7 20.0 90.0 90.0 3.09938E-02 6.62796E-03 6.77454E-04 7.30541E-03 8.72995E-03 0.021858
7 1 30.0 0.0 180.0 2.61385E-02 6.45344E-03 5.95760E-04 7.04920E-03 8.50008E-03 0.022792
7 4 30.0 45.0 135.0 2.67994E-02 6.50319E-03 6.10437E-04 7.11362E-03 8.56561E-03 0.022778
7 7 30.0 90.0 90.0 3.20243E-02 6.69531E-03 7.29313E-04 7.42462E-03 8.81866E-03 0.022774
6 1 40.0 0.0 180.0 2.92910E-02 6.26235E-03 7.79041E-04 7.04139E-03 8.24839E-03 0.026597
6 4 40.0 45.0 135.0 2.91085E-02 6.32651E-03 7.72715E-04 7.09922E-03 8.33289E-03 0.026546
6 7 40.0 90.0 90.0 3.40620E-02 6.58255E-03 8.98490E-04 7.48104E-03 8.67014E-03 0.026378
5 1 50.0 0.0 180.0 3.57015E-02 6.20495E-03 1.33242E-03 7.53737E-03 8.17279E-03 0.037321
5 4 50.0 45.0 135.0 3.40251E-02 6.25100E-03 1.26740E-03 7.51839E-03 8.23343E-03 0.037249
5 7 50.0 90.0 90.0 3.78288E-02 6.61807E-03 1.39397E-03 8.01204E-03 8.71693E-03 0.036849
4 1 60.0 0.0 180.0 4.74885E-02 5.97526E-03 3.25959E-03 9.23485E-03 7.87025E-03 0.068640
4 4 60.0 45.0 135.0 4.33211E-02 6.01608E-03 2.94896E-03 8.96505E-03 7.92402E-03 0.068072
4 7 60.0 90.0 90.0 4.46688E-02 6.50568E-03 2.98467E-03 9.49035E-03 8.56889E-03 0.066818
3 1 70.0 0.0 180.0 6.99313E-02 5.41227E-03 1.11146E-02 1.65269E-02 7.12872E-03 0.158936
3 4 70.0 45.0 135.0 6.13577E-02 5.52661E-03 9.63426E-03 1.51609E-02 7.27932E-03 0.157018
3 7 70.0 90.0 90.0 5.82533E-02 6.03041E-03 8.97726E-03 1.50077E-02 7.94289E-03 0.154107
2 1 80.0 0.0 180.0 1.19274E-01 4.31297E-03 3.87371E-02 4.30501E-02 5.68078E-03 0.324773
2 4 80.0 45.0 135.0 1.01694E-01 4.35509E-03 3.33800E-02 3.77351E-02 5.73626E-03 0.328240
2 7 80.0 90.0 90.0 8.87578E-02 4.88294E-03 2.96215E-02 3.45044E-02 6.43152E-03 0.333734
1 1 87.5 0.0 180.0 1.87845E-01 3.15953E-03 8.17259E-02 8.48854E-02 4.16154E-03 0.435070
1 4 87.5 45.0 135.0 1.57940E-01 3.11364E-03 7.26629E-02 7.57765E-02 4.10110E-03 0.460068
1 7 87.5 90.0 90.0 1.30311E-01 3.51880E-03 6.36475E-02 6.71663E-02 4.63476E-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 7.315E-03 3.053E-02 1.364E-01 9.874E-02 4.315E-01 9.635E-03 1.095E+01 6.647E-03 8.755E-03
1 0.00 0.00 1.229E-02 5.501E-02 1.650E-02 2.263E-02 5.198E-02 1.694E-02 3.788E+00
3 2.91 1.00 1.228E-02 7.411E-02 1.375E-02 2.047E-02 6.315E-02 2.192E-02 3.598E+00
5 5.83 2.00 1.279E-02 8.303E-02 1.245E-02 1.903E-02 5.653E-02 3.013E-02 3.300E+00
7 8.74 3.00 1.393E-02 8.319E-02 1.109E-02 1.670E-02 4.384E-02 4.363E-02 3.064E+00
9 11.65 4.00 1.568E-02 7.737E-02 1.038E-02 1.472E-02 3.250E-02 6.536E-02 2.988E+00
12 14.56 5.00 1.799E-02 6.834E-02 1.511E-02 1.661E-02 2.237E-02 9.918E-02 3.142E+00
Waveband 17 of 30 completed in 1.3 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 0.0308 0.1632
3 2.883 1.000 0.0772 0.0860 0.0570 0.0308 0.1632
5 5.766 2.000 0.0772 0.0860 0.0570 0.0308 0.1632
7 8.648 3.000 0.0772 0.0860 0.0570 0.0308 0.1632
9 11.531 4.000 0.0772 0.0860 0.0570 0.0308 0.1632
12 14.414 5.000 0.0772 0.0860 0.0570 0.0308 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 0.01359 0.00000 0.00000 0.01438
3 2.883 1.000 0.00079 0.01359 0.00000 0.00000 0.01438
5 5.766 2.000 0.00079 0.01359 0.00000 0.00000 0.01438
7 8.648 3.000 0.00079 0.01359 0.00000 0.00000 0.01438
9 11.531 4.000 0.00079 0.01359 0.00000 0.00000 0.01438
12 14.414 5.000 0.00079 0.01359 0.00000 0.00000 0.01438
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 0.01438 0.00529
3 2.883 1.000 0.1632 2.7196 2.8828 0.9434 0.01438 0.00529
5 5.766 2.000 0.1632 2.7196 2.8828 0.9434 0.01438 0.00529
7 8.648 3.000 0.1632 2.7196 2.8828 0.9434 0.01438 0.00529
9 11.531 4.000 0.1632 2.7196 2.8828 0.9434 0.01438 0.00529
12 14.414 5.000 0.1632 2.7196 2.8828 0.9434 0.01438 0.00529
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 2.7129E-01 1.6843E+00 1.9555E+00 7.9695E-02 7.6042E-01 0.2938 0.4515 0.3481 1.0480E-01
1 0.00 0.00 1.0557E-01 9.9688E-01 1.1024E+00 4.5608E-02 7.2631E-01 0.4320 0.7286 0.6175 6.2794E-02
3 2.88 1.00 1.0132E-01 8.2172E-01 9.2305E-01 4.3433E-02 5.5908E-01 0.4287 0.6804 0.5586 7.7686E-02
5 5.77 2.00 9.3668E-02 6.4254E-01 7.3621E-01 4.1777E-02 4.2255E-01 0.4460 0.6576 0.5172 9.8867E-02
7 8.65 3.00 8.9418E-02 4.8818E-01 5.7760E-01 4.2615E-02 3.1691E-01 0.4766 0.6492 0.4749 1.3447E-01
9 11.53 4.00 9.3410E-02 3.6737E-01 4.6078E-01 4.7272E-02 2.3755E-01 0.5061 0.6466 0.4130 1.9899E-01
12 14.41 5.00 1.1529E-01 2.7892E-01 3.9421E-01 5.7645E-02 1.7913E-01 0.5000 0.6422 0.3082 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 0.08553 0.20633 0.19476 0.05035 0.25006 0.26345 0.01207
1.000 1.010 1.005 0.07115 0.22343 0.20671 0.05345 0.27295 0.29146 -0.02543
2.000 2.010 2.005 0.07337 0.26432 0.24001 0.01549 0.28535 0.31500 -0.07146
3.000 3.010 3.005 0.00936 0.28224 0.23995 -0.06002 0.28895 0.34328 -0.11065
4.000 4.010 4.005 -0.10641 0.28385 0.20462 -0.14924 0.28651 0.39506 -0.13569
4.990 5.000 4.995 -0.49797 0.24806 0.03045 -0.26203 0.27423 0.52769 -0.14503
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 6.57513E-03 6.53837E-04 7.22897E-03 8.64676E-03 0.021894
9 1 10.0 0.0 180.0 2.57601E-02 6.49654E-03 5.53080E-04 7.04962E-03 8.54340E-03 0.021470
9 4 10.0 45.0 135.0 2.66908E-02 6.50066E-03 5.78208E-04 7.07886E-03 8.54882E-03 0.021663
9 7 10.0 90.0 90.0 2.98758E-02 6.56642E-03 6.50258E-04 7.21668E-03 8.63530E-03 0.021765
8 1 20.0 0.0 180.0 2.47371E-02 6.41109E-03 5.37655E-04 6.94874E-03 8.43103E-03 0.021735
8 4 20.0 45.0 135.0 2.57373E-02 6.40392E-03 5.58109E-04 6.96202E-03 8.42160E-03 0.021685
8 7 20.0 90.0 90.0 3.03162E-02 6.54752E-03 6.62645E-04 7.21017E-03 8.61045E-03 0.021858
7 1 30.0 0.0 180.0 2.55671E-02 6.37272E-03 5.82737E-04 6.95546E-03 8.38057E-03 0.022792
7 4 30.0 45.0 135.0 2.62136E-02 6.42064E-03 5.97093E-04 7.01774E-03 8.44360E-03 0.022778
7 7 30.0 90.0 90.0 3.13242E-02 6.60709E-03 7.13370E-04 7.32046E-03 8.68879E-03 0.022774
6 1 40.0 0.0 180.0 2.86507E-02 6.17165E-03 7.62010E-04 6.93366E-03 8.11615E-03 0.026597
6 4 40.0 45.0 135.0 2.84722E-02 6.23326E-03 7.55823E-04 6.98908E-03 8.19717E-03 0.026546
6 7 40.0 90.0 90.0 3.33174E-02 6.48138E-03 8.78847E-04 7.36023E-03 8.52347E-03 0.026378
5 1 50.0 0.0 180.0 3.49210E-02 6.10461E-03 1.30330E-03 7.40790E-03 8.02799E-03 0.037321
5 4 50.0 45.0 135.0 3.32813E-02 6.14808E-03 1.23969E-03 7.38777E-03 8.08516E-03 0.037249
5 7 50.0 90.0 90.0 3.70019E-02 6.50461E-03 1.36348E-03 7.86809E-03 8.55401E-03 0.036849
4 1 60.0 0.0 180.0 4.64504E-02 5.86688E-03 3.18834E-03 9.05522E-03 7.71536E-03 0.068640
4 4 60.0 45.0 135.0 4.23746E-02 5.90500E-03 2.88451E-03 8.78951E-03 7.76549E-03 0.068072
4 7 60.0 90.0 90.0 4.36894E-02 6.38130E-03 2.91939E-03 9.30068E-03 8.39185E-03 0.066821
3 1 70.0 0.0 180.0 6.84026E-02 5.30424E-03 1.08716E-02 1.61759E-02 6.97545E-03 0.158936
3 4 70.0 45.0 135.0 6.00164E-02 5.41442E-03 9.42366E-03 1.48381E-02 7.12034E-03 0.157018
3 7 70.0 90.0 90.0 5.69799E-02 5.90460E-03 8.78097E-03 1.46856E-02 7.76497E-03 0.154106
2 1 80.0 0.0 180.0 1.16667E-01 4.21871E-03 3.78903E-02 4.21090E-02 5.54790E-03 0.324773
2 4 80.0 45.0 135.0 9.94708E-02 4.25841E-03 3.26503E-02 3.69087E-02 5.60011E-03 0.328240
2 7 80.0 90.0 90.0 8.68175E-02 4.77272E-03 2.89739E-02 3.37466E-02 6.27646E-03 0.333733
1 1 87.5 0.0 180.0 1.83739E-01 3.08741E-03 7.99393E-02 8.30267E-02 4.06016E-03 0.435070
1 4 87.5 45.0 135.0 1.54487E-01 3.04157E-03 7.10745E-02 7.41160E-02 3.99988E-03 0.460068
1 7 87.5 90.0 90.0 1.27463E-01 3.43667E-03 6.22562E-02 6.56928E-02 4.51947E-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 7.229E-03 2.986E-02 1.334E-01 9.658E-02 4.240E-01 9.507E-03 1.102E+01 6.575E-03 8.647E-03
1 0.00 0.00 1.216E-02 5.381E-02 1.599E-02 2.201E-02 5.109E-02 1.674E-02 3.751E+00
3 2.88 1.00 1.222E-02 7.267E-02 1.331E-02 1.991E-02 6.210E-02 2.186E-02 3.553E+00
5 5.77 2.00 1.283E-02 8.145E-02 1.204E-02 1.848E-02 5.552E-02 3.036E-02 3.257E+00
7 8.65 3.00 1.406E-02 8.163E-02 1.074E-02 1.622E-02 4.303E-02 4.437E-02 3.030E+00
9 11.53 4.00 1.592E-02 7.591E-02 1.012E-02 1.435E-02 3.192E-02 6.703E-02 2.969E+00
12 14.41 5.00 1.835E-02 6.704E-02 1.524E-02 1.671E-02 2.241E-02 1.024E-01 3.142E+00
Waveband 18 of 30 completed in 1.2 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 0.0315 0.1860
3 2.871 1.000 0.1100 0.0760 0.0505 0.0315 0.1860
5 5.742 2.000 0.1100 0.0760 0.0505 0.0315 0.1860
7 8.613 3.000 0.1100 0.0760 0.0505 0.0315 0.1860
9 11.484 4.000 0.1100 0.0760 0.0505 0.0315 0.1860
12 14.355 5.000 0.1100 0.0760 0.0505 0.0315 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 0.01342 0.00000 0.00000 0.01415
3 2.871 1.000 0.00073 0.01342 0.00000 0.00000 0.01415
5 5.742 2.000 0.00073 0.01342 0.00000 0.00000 0.01415
7 8.613 3.000 0.00073 0.01342 0.00000 0.00000 0.01415
9 11.484 4.000 0.00073 0.01342 0.00000 0.00000 0.01415
12 14.355 5.000 0.00073 0.01342 0.00000 0.00000 0.01415
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 0.01415 0.00527
3 2.871 1.000 0.1860 2.6850 2.8710 0.9352 0.01415 0.00527
5 5.742 2.000 0.1860 2.6850 2.8710 0.9352 0.01415 0.00527
7 8.613 3.000 0.1860 2.6850 2.8710 0.9352 0.01415 0.00527
9 11.484 4.000 0.1860 2.6850 2.8710 0.9352 0.01415 0.00527
12 14.355 5.000 0.1860 2.6850 2.8710 0.9352 0.01415 0.00527
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 2.5635E-01 1.6427E+00 1.8991E+00 7.4112E-02 7.4323E-01 0.2891 0.4524 0.3523 9.9716E-02
1 0.00 0.00 8.6939E-02 9.6205E-01 1.0490E+00 3.7018E-02 7.0612E-01 0.4258 0.7340 0.6379 5.2424E-02
3 2.87 1.00 8.1879E-02 7.6897E-01 8.5085E-01 3.4641E-02 5.2725E-01 0.4231 0.6857 0.5790 6.5701E-02
5 5.74 2.00 7.4275E-02 5.8156E-01 6.5584E-01 3.3016E-02 3.8619E-01 0.4445 0.6641 0.5385 8.5493E-02
7 8.61 3.00 7.0625E-02 4.2747E-01 4.9809E-01 3.3968E-02 2.8070E-01 0.4810 0.6567 0.4953 1.2101E-01
9 11.48 4.00 7.5296E-02 3.1149E-01 3.8678E-01 3.8733E-02 2.0401E-01 0.5144 0.6550 0.4273 1.8986E-01
12 14.35 5.00 9.8793E-02 2.2968E-01 3.2847E-01 4.9397E-02 1.4932E-01 0.5000 0.6501 0.3042 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 0.09147 0.22550 0.21438 0.06582 0.27908 0.29089 0.02167
1.000 1.010 1.005 0.09340 0.25653 0.24082 0.06900 0.30412 0.32067 -0.02702
2.000 2.010 2.005 0.08666 0.29769 0.27376 0.01659 0.31679 0.34490 -0.08512
3.000 3.010 3.005 0.00223 0.31498 0.27058 -0.07855 0.32012 0.37513 -0.13235
4.000 4.010 4.005 -0.14133 0.31537 0.22630 -0.18538 0.31708 0.43519 -0.16065
4.990 5.000 4.995 -0.67444 0.26592 -0.01597 -0.32200 0.30189 0.60889 -0.16951
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 5.25295E-03 6.24762E-04 5.87771E-03 7.06772E-03 0.021894
9 1 10.0 0.0 180.0 2.46146E-02 5.19055E-03 5.28485E-04 5.71904E-03 6.98377E-03 0.021470
9 4 10.0 45.0 135.0 2.55039E-02 5.19286E-03 5.52496E-04 5.74536E-03 6.98687E-03 0.021663
9 7 10.0 90.0 90.0 2.85473E-02 5.24436E-03 6.21342E-04 5.86571E-03 7.05617E-03 0.021765
8 1 20.0 0.0 180.0 2.36371E-02 5.12184E-03 5.13747E-04 5.63559E-03 6.89132E-03 0.021735
8 4 20.0 45.0 135.0 2.45929E-02 5.11408E-03 5.33290E-04 5.64737E-03 6.88087E-03 0.021685
8 7 20.0 90.0 90.0 2.89681E-02 5.22711E-03 6.33178E-04 5.86029E-03 7.03296E-03 0.021858
7 1 30.0 0.0 180.0 2.44302E-02 5.09061E-03 5.56824E-04 5.64743E-03 6.84930E-03 0.022792
7 4 30.0 45.0 135.0 2.50479E-02 5.12570E-03 5.70541E-04 5.69624E-03 6.89651E-03 0.022778
7 7 30.0 90.0 90.0 2.99313E-02 5.27247E-03 6.81647E-04 5.95412E-03 7.09398E-03 0.022774
6 1 40.0 0.0 180.0 2.73766E-02 4.92916E-03 7.28125E-04 5.65729E-03 6.63207E-03 0.026597
6 4 40.0 45.0 135.0 2.72061E-02 4.97341E-03 7.22213E-04 5.69562E-03 6.69161E-03 0.026546
6 7 40.0 90.0 90.0 3.18359E-02 5.16976E-03 8.39766E-04 6.00952E-03 6.95579E-03 0.026378
5 1 50.0 0.0 180.0 3.33682E-02 4.87668E-03 1.24534E-03 6.12202E-03 6.56146E-03 0.037321
5 4 50.0 45.0 135.0 3.18014E-02 4.90547E-03 1.18457E-03 6.09003E-03 6.60019E-03 0.037249
5 7 50.0 90.0 90.0 3.53565E-02 5.19000E-03 1.30284E-03 6.49284E-03 6.98302E-03 0.036849
4 1 60.0 0.0 180.0 4.43848E-02 4.68837E-03 3.04657E-03 7.73494E-03 6.30809E-03 0.068640
4 4 60.0 45.0 135.0 4.04907E-02 4.71205E-03 2.75624E-03 7.46829E-03 6.33995E-03 0.068071
4 7 60.0 90.0 90.0 4.17440E-02 5.09427E-03 2.78953E-03 7.88380E-03 6.85422E-03 0.066825
3 1 70.0 0.0 180.0 6.53609E-02 4.24321E-03 1.03882E-02 1.46314E-02 5.70915E-03 0.158936
3 4 70.0 45.0 135.0 5.73475E-02 4.32471E-03 9.00461E-03 1.33293E-02 5.81880E-03 0.157018
3 7 70.0 90.0 90.0 5.44461E-02 4.72166E-03 8.39044E-03 1.31121E-02 6.35289E-03 0.154106
2 1 80.0 0.0 180.0 1.11479E-01 3.37875E-03 3.62054E-02 3.95842E-02 4.54603E-03 0.324774
2 4 80.0 45.0 135.0 9.50475E-02 3.40502E-03 3.11984E-02 3.46034E-02 4.58137E-03 0.328240
2 7 80.0 90.0 90.0 8.29569E-02 3.82330E-03 2.76855E-02 3.15088E-02 5.14417E-03 0.333733
1 1 87.5 0.0 180.0 1.75568E-01 2.47499E-03 7.63846E-02 7.88596E-02 3.33004E-03 0.435070
1 4 87.5 45.0 135.0 1.47617E-01 2.43423E-03 6.79139E-02 7.03482E-02 3.27520E-03 0.460068
1 7 87.5 90.0 90.0 1.21794E-01 2.75649E-03 5.94877E-02 6.22442E-02 3.70880E-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 5.878E-03 2.854E-02 1.272E-01 9.202E-02 4.067E-01 7.908E-03 1.261E+01 5.253E-03 7.068E-03
1 0.00 0.00 9.714E-03 5.137E-02 1.317E-02 1.830E-02 4.434E-02 1.376E-02 3.811E+00
3 2.87 1.00 9.722E-03 6.793E-02 1.086E-02 1.651E-02 5.376E-02 1.844E-02 3.563E+00
5 5.74 2.00 1.028E-02 7.438E-02 9.548E-03 1.488E-02 4.642E-02 2.663E-02 3.211E+00
7 8.61 3.00 1.148E-02 7.279E-02 8.288E-03 1.268E-02 3.473E-02 4.089E-02 2.960E+00
9 11.48 4.00 1.331E-02 6.607E-02 7.700E-03 1.100E-02 2.500E-02 6.523E-02 2.911E+00
12 14.35 5.00 1.572E-02 5.694E-02 1.266E-02 1.379E-02 1.824E-02 1.053E-01 3.142E+00
Waveband 19 of 30 completed in 1.3 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 0.0286 0.2349
3 2.890 1.000 0.1672 0.0678 0.0455 0.0286 0.2349
5 5.780 2.000 0.1672 0.0678 0.0455 0.0286 0.2349
7 8.669 3.000 0.1672 0.0678 0.0455 0.0286 0.2349
9 11.559 4.000 0.1672 0.0678 0.0455 0.0286 0.2349
12 14.449 5.000 0.1672 0.0678 0.0455 0.0286 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 0.01327 0.00000 0.00000 0.01395
3 2.890 1.000 0.00068 0.01327 0.00000 0.00000 0.01395
5 5.780 2.000 0.00068 0.01327 0.00000 0.00000 0.01395
7 8.669 3.000 0.00068 0.01327 0.00000 0.00000 0.01395
9 11.559 4.000 0.00068 0.01327 0.00000 0.00000 0.01395
12 14.449 5.000 0.00068 0.01327 0.00000 0.00000 0.01395
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 0.01395 0.00525
3 2.890 1.000 0.2349 2.6549 2.8898 0.9187 0.01395 0.00525
5 5.780 2.000 0.2349 2.6549 2.8898 0.9187 0.01395 0.00525
7 8.669 3.000 0.2349 2.6549 2.8898 0.9187 0.01395 0.00525
9 11.559 4.000 0.2349 2.6549 2.8898 0.9187 0.01395 0.00525
12 14.449 5.000 0.2349 2.6549 2.8898 0.9187 0.01395 0.00525
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 2.3466E-01 1.5719E+00 1.8066E+00 6.5940E-02 7.1268E-01 0.2810 0.4534 0.3580 9.2525E-02
1 0.00 0.00 6.1432E-02 9.0582E-01 9.6725E-01 2.5247E-02 6.7197E-01 0.4110 0.7418 0.6686 3.7572E-02
3 2.89 1.00 5.4704E-02 6.7713E-01 7.3183E-01 2.2308E-02 4.6983E-01 0.4078 0.6939 0.6115 4.7480E-02
5 5.78 2.00 4.6793E-02 4.7665E-01 5.2345E-01 2.0402E-02 3.2167E-01 0.4360 0.6748 0.5755 6.3426E-02
7 8.67 3.00 4.3318E-02 3.2634E-01 3.6966E-01 2.1004E-02 2.1862E-01 0.4849 0.6699 0.5346 9.6075E-02
9 11.56 4.00 4.7545E-02 2.2191E-01 2.6945E-01 2.5113E-02 1.4873E-01 0.5282 0.6702 0.4588 1.6885E-01
12 14.45 5.00 6.9842E-02 1.5348E-01 2.2332E-01 3.4921E-02 1.0210E-01 0.5000 0.6653 0.3008 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 0.11947 0.27389 0.26408 0.11654 0.34201 0.35083 0.06746
1.000 1.010 1.005 0.15802 0.32779 0.31509 0.12400 0.37131 0.38366 -0.00939
2.000 2.010 2.005 0.13415 0.36935 0.34830 0.03943 0.38430 0.40770 -0.10172
3.000 3.010 3.005 0.00358 0.38518 0.34038 -0.10391 0.38679 0.43909 -0.17265
4.000 4.010 4.005 -0.20289 0.38329 0.27961 -0.25304 0.38246 0.51205 -0.21119
4.990 5.000 4.995 -0.99685 0.31060 -0.09647 -0.43994 0.36224 0.77669 -0.22055
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 3.38153E-03 5.85443E-04 3.96697E-03 4.74483E-03 0.021894
9 1 10.0 0.0 180.0 2.30655E-02 3.34526E-03 4.95225E-04 3.84049E-03 4.69395E-03 0.021470
9 4 10.0 45.0 135.0 2.38989E-02 3.34546E-03 5.17725E-04 3.86318E-03 4.69422E-03 0.021663
9 7 10.0 90.0 90.0 2.67507E-02 3.37761E-03 5.82238E-04 3.95985E-03 4.73934E-03 0.021765
8 1 20.0 0.0 180.0 2.21495E-02 3.30710E-03 4.81415E-04 3.78851E-03 4.64040E-03 0.021735
8 4 20.0 45.0 135.0 2.30451E-02 3.29925E-03 4.99728E-04 3.79898E-03 4.62938E-03 0.021685
8 7 20.0 90.0 90.0 2.71450E-02 3.37043E-03 5.93330E-04 3.96376E-03 4.72927E-03 0.021858
7 1 30.0 0.0 180.0 2.28927E-02 3.29440E-03 5.21780E-04 3.81618E-03 4.62258E-03 0.022792
7 4 30.0 45.0 135.0 2.34716E-02 3.31257E-03 5.34635E-04 3.84720E-03 4.64807E-03 0.022778
7 7 30.0 90.0 90.0 2.80476E-02 3.40518E-03 6.38748E-04 4.04393E-03 4.77802E-03 0.022774
6 1 40.0 0.0 180.0 2.56537E-02 3.20588E-03 6.82300E-04 3.88818E-03 4.49837E-03 0.026597
6 4 40.0 45.0 135.0 2.54939E-02 3.22753E-03 6.76761E-04 3.90429E-03 4.52875E-03 0.026546
6 7 40.0 90.0 90.0 2.98323E-02 3.35326E-03 7.86915E-04 4.14018E-03 4.70518E-03 0.026378
5 1 50.0 0.0 180.0 3.12682E-02 3.18710E-03 1.16697E-03 4.35407E-03 4.47203E-03 0.037321
5 4 50.0 45.0 135.0 2.98000E-02 3.19732E-03 1.11002E-03 4.30733E-03 4.48636E-03 0.037249
5 7 50.0 90.0 90.0 3.31313E-02 3.38320E-03 1.22084E-03 4.60403E-03 4.74718E-03 0.036848
4 1 60.0 0.0 180.0 4.15915E-02 3.08178E-03 2.85484E-03 5.93661E-03 4.32423E-03 0.068640
4 4 60.0 45.0 135.0 3.79429E-02 3.08739E-03 2.58279E-03 5.67018E-03 4.33211E-03 0.068070
4 7 60.0 90.0 90.0 3.91142E-02 3.34028E-03 2.61394E-03 5.95422E-03 4.68696E-03 0.066828
3 1 70.0 0.0 180.0 6.12474E-02 2.80778E-03 9.73442E-03 1.25422E-02 3.93978E-03 0.158936
3 4 70.0 45.0 135.0 5.37384E-02 2.85188E-03 8.43792E-03 1.12898E-02 4.00166E-03 0.157018
3 7 70.0 90.0 90.0 5.10196E-02 3.11981E-03 7.86235E-03 1.09822E-02 4.37760E-03 0.154105
2 1 80.0 0.0 180.0 1.04463E-01 2.25149E-03 3.39269E-02 3.61784E-02 3.15920E-03 0.324774
2 4 80.0 45.0 135.0 8.90657E-02 2.26067E-03 2.92350E-02 3.14957E-02 3.17209E-03 0.328241
2 7 80.0 90.0 90.0 7.77361E-02 2.54581E-03 2.59431E-02 2.84889E-02 3.57218E-03 0.333733
1 1 87.5 0.0 180.0 1.64519E-01 1.65617E-03 7.15774E-02 7.32335E-02 2.32388E-03 0.435070
1 4 87.5 45.0 135.0 1.38327E-01 1.62277E-03 6.36398E-02 6.52626E-02 2.27701E-03 0.460068
1 7 87.5 90.0 90.0 1.14129E-01 1.84356E-03 5.57439E-02 5.75875E-02 2.58681E-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 3.967E-03 2.674E-02 1.189E-01 8.586E-02 3.824E-01 5.566E-03 1.662E+01 3.382E-03 4.745E-03
1 0.00 0.00 6.253E-03 4.808E-02 9.457E-03 1.332E-02 3.454E-02 9.306E-03 4.038E+00
3 2.89 1.00 6.053E-03 6.054E-02 7.580E-03 1.180E-02 4.101E-02 1.288E-02 3.685E+00
5 5.78 2.00 6.400E-03 6.288E-02 6.209E-03 9.911E-03 3.267E-02 1.990E-02 3.188E+00
7 8.67 3.00 7.357E-03 5.828E-02 5.025E-03 7.863E-03 2.257E-02 3.365E-02 2.855E+00
9 11.56 4.00 8.935E-03 5.009E-02 4.459E-03 6.455E-03 1.513E-02 6.008E-02 2.810E+00
12 14.45 5.00 1.112E-02 4.085E-02 8.530E-03 9.182E-03 1.180E-02 1.089E-01 3.142E+00
Waveband 20 of 30 completed in 1.3 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 0.0276 0.3165
3 2.938 1.000 0.2577 0.0588 0.0375 0.0276 0.3165
5 5.876 2.000 0.2577 0.0588 0.0375 0.0276 0.3165
7 8.815 3.000 0.2577 0.0588 0.0375 0.0276 0.3165
9 11.753 4.000 0.2577 0.0588 0.0375 0.0276 0.3165
12 14.691 5.000 0.2577 0.0588 0.0375 0.0276 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 0.01310 0.00000 0.00000 0.01374
3 2.938 1.000 0.00063 0.01310 0.00000 0.00000 0.01374
5 5.876 2.000 0.00063 0.01310 0.00000 0.00000 0.01374
7 8.815 3.000 0.00063 0.01310 0.00000 0.00000 0.01374
9 11.753 4.000 0.00063 0.01310 0.00000 0.00000 0.01374
12 14.691 5.000 0.00063 0.01310 0.00000 0.00000 0.01374
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 0.01374 0.00524
3 2.938 1.000 0.3165 2.6218 2.9382 0.8923 0.01374 0.00524
5 5.876 2.000 0.3165 2.6218 2.9382 0.8923 0.01374 0.00524
7 8.815 3.000 0.3165 2.6218 2.9382 0.8923 0.01374 0.00524
9 11.753 4.000 0.3165 2.6218 2.9382 0.8923 0.01374 0.00524
12 14.691 5.000 0.3165 2.6218 2.9382 0.8923 0.01374 0.00524
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 2.3397E-01 1.6319E+00 1.8659E+00 6.3992E-02 7.4132E-01 0.2735 0.4543 0.3630 8.6322E-02
1 0.00 0.00 4.3404E-02 9.2648E-01 9.6988E-01 1.6913E-02 6.9423E-01 0.3897 0.7493 0.6983 2.4362E-02
3 2.94 1.00 3.4373E-02 6.1881E-01 6.5318E-01 1.3133E-02 4.3523E-01 0.3821 0.7033 0.6462 3.0175E-02
5 5.88 2.00 2.5837E-02 3.8735E-01 4.1319E-01 1.0717E-02 2.6670E-01 0.4148 0.6885 0.6195 4.0184E-02
7 8.81 3.00 2.2025E-02 2.3636E-01 2.5839E-01 1.0609E-02 1.6247E-01 0.4817 0.6874 0.5877 6.5299E-02
9 11.75 4.00 2.4653E-02 1.4369E-01 1.6834E-01 1.3420E-02 9.9289E-02 0.5443 0.6910 0.5101 1.3516E-01
12 14.69 5.00 4.2484E-02 8.9353E-02 1.3184E-01 2.1242E-02 6.1391E-02 0.5000 0.6871 0.3045 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 0.18922 0.36585 0.35794 0.22742 0.44731 0.45281 0.19840
1.000 1.010 1.005 0.29181 0.44521 0.43714 0.25630 0.48219 0.48923 0.07562
2.000 2.010 2.005 0.25004 0.48593 0.47116 0.12408 0.49470 0.51024 -0.09559
3.000 3.010 3.005 0.04137 0.49876 0.45969 -0.11491 0.49517 0.53793 -0.22641
4.000 4.010 4.005 -0.28284 0.49376 0.37965 -0.34963 0.48864 0.62028 -0.29073
4.990 5.000 4.995 -1.45398 0.39393 -0.19783 -0.62158 0.46252 1.03137 -0.30368
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 2.01897E-03 5.95771E-04 2.61474E-03 2.72349E-03 0.021894
9 1 10.0 0.0 180.0 2.34724E-02 2.00610E-03 5.03962E-04 2.51006E-03 2.70613E-03 0.021470
9 4 10.0 45.0 135.0 2.43205E-02 2.00455E-03 5.26858E-04 2.53141E-03 2.70404E-03 0.021663
9 7 10.0 90.0 90.0 2.72226E-02 2.02195E-03 5.92510E-04 2.61446E-03 2.72751E-03 0.021765
8 1 20.0 0.0 180.0 2.25403E-02 1.99647E-03 4.89907E-04 2.48638E-03 2.69314E-03 0.021735
8 4 20.0 45.0 135.0 2.34517E-02 1.98822E-03 5.08544E-04 2.49676E-03 2.68201E-03 0.021685
8 7 20.0 90.0 90.0 2.76239E-02 2.02791E-03 6.03797E-04 2.63171E-03 2.73555E-03 0.021858
7 1 30.0 0.0 180.0 2.32965E-02 2.00458E-03 5.30985E-04 2.53557E-03 2.70408E-03 0.022792
7 4 30.0 45.0 135.0 2.38856E-02 2.01011E-03 5.44066E-04 2.55418E-03 2.71154E-03 0.022778
7 7 30.0 90.0 90.0 2.85424E-02 2.06191E-03 6.50017E-04 2.71193E-03 2.78142E-03 0.022774
6 1 40.0 0.0 180.0 2.61063E-02 1.98235E-03 6.94337E-04 2.67669E-03 2.67409E-03 0.026597
6 4 40.0 45.0 135.0 2.59436E-02 1.98727E-03 6.88700E-04 2.67597E-03 2.68073E-03 0.026546
6 7 40.0 90.0 90.0 3.03586E-02 2.05964E-03 8.00796E-04 2.86044E-03 2.77835E-03 0.026378
5 1 50.0 0.0 180.0 3.18198E-02 1.99709E-03 1.18755E-03 3.18464E-03 2.69397E-03 0.037321
5 4 50.0 45.0 135.0 3.03257E-02 1.99332E-03 1.12960E-03 3.12293E-03 2.68889E-03 0.037249
5 7 50.0 90.0 90.0 3.37158E-02 2.10518E-03 1.24237E-03 3.34755E-03 2.83978E-03 0.036848
4 1 60.0 0.0 180.0 4.23252E-02 1.96062E-03 2.90521E-03 4.86583E-03 2.64478E-03 0.068640
4 4 60.0 45.0 135.0 3.86127E-02 1.95248E-03 2.62836E-03 4.58083E-03 2.63379E-03 0.068070
4 7 60.0 90.0 90.0 3.98017E-02 2.10883E-03 2.66002E-03 4.76885E-03 2.84471E-03 0.066832
3 1 70.0 0.0 180.0 6.23279E-02 1.81230E-03 9.90613E-03 1.17184E-02 2.44470E-03 0.158936
3 4 70.0 45.0 135.0 5.46864E-02 1.82915E-03 8.58677E-03 1.04159E-02 2.46743E-03 0.157018
3 7 70.0 90.0 90.0 5.19196E-02 2.00012E-03 8.00101E-03 1.00011E-02 2.69807E-03 0.154104
2 1 80.0 0.0 180.0 1.06306E-01 1.47479E-03 3.45254E-02 3.60002E-02 1.98941E-03 0.324774
2 4 80.0 45.0 135.0 9.06370E-02 1.47092E-03 2.97507E-02 3.12217E-02 1.98420E-03 0.328241
2 7 80.0 90.0 90.0 7.91074E-02 1.65668E-03 2.64007E-02 2.80574E-02 2.23478E-03 0.333732
1 1 87.5 0.0 180.0 1.67421E-01 1.09348E-03 7.28401E-02 7.39336E-02 1.47505E-03 0.435070
1 4 87.5 45.0 135.0 1.40767E-01 1.06410E-03 6.47625E-02 6.58266E-02 1.43542E-03 0.460068
1 7 87.5 90.0 90.0 1.16143E-01 1.20901E-03 5.67273E-02 5.79363E-02 1.63089E-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 2.615E-03 2.721E-02 1.207E-01 8.704E-02 3.905E-01 3.527E-03 2.447E+01 2.019E-03 2.723E-03
1 0.00 0.00 3.733E-03 4.888E-02 6.931E-03 9.857E-03 2.755E-02 5.377E-03 4.531E+00
3 2.94 1.00 3.227E-03 5.656E-02 5.171E-03 8.228E-03 3.059E-02 7.415E-03 4.070E+00
5 5.88 2.00 3.258E-03 5.371E-02 3.730E-03 6.095E-03 2.126E-02 1.221E-02 3.290E+00
7 8.81 3.00 3.845E-03 4.545E-02 2.652E-03 4.256E-03 1.284E-02 2.367E-02 2.759E+00
9 11.75 4.00 5.004E-03 3.563E-02 2.119E-03 3.126E-03 7.606E-03 5.039E-02 2.682E+00
12 14.69 5.00 6.762E-03 2.650E-02 4.903E-03 5.206E-03 6.435E-03 1.101E-01 3.142E+00
Waveband 21 of 30 completed in 1.4 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 0.0308 0.3222
3 2.914 1.000 0.2678 0.0544 0.0334 0.0308 0.3222
5 5.828 2.000 0.2678 0.0544 0.0334 0.0308 0.3222
7 8.743 3.000 0.2678 0.0544 0.0334 0.0308 0.3222
9 11.657 4.000 0.2678 0.0544 0.0334 0.0308 0.3222
12 14.571 5.000 0.2678 0.0544 0.0334 0.0308 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 0.01295 0.00000 0.00000 0.01354
3 2.914 1.000 0.00059 0.01295 0.00000 0.00000 0.01354
5 5.828 2.000 0.00059 0.01295 0.00000 0.00000 0.01354
7 8.743 3.000 0.00059 0.01295 0.00000 0.00000 0.01354
9 11.657 4.000 0.00059 0.01295 0.00000 0.00000 0.01354
12 14.571 5.000 0.00059 0.01295 0.00000 0.00000 0.01354
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 0.01354 0.00523
3 2.914 1.000 0.3222 2.5920 2.9142 0.8894 0.01354 0.00523
5 5.828 2.000 0.3222 2.5920 2.9142 0.8894 0.01354 0.00523
7 8.743 3.000 0.3222 2.5920 2.9142 0.8894 0.01354 0.00523
9 11.657 4.000 0.3222 2.5920 2.9142 0.8894 0.01354 0.00523
12 14.571 5.000 0.3222 2.5920 2.9142 0.8894 0.01354 0.00523
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 2.2750E-01 1.6005E+00 1.8280E+00 6.2436E-02 7.2841E-01 0.2744 0.4551 0.3643 8.5715E-02
1 0.00 0.00 4.1142E-02 9.0952E-01 9.5066E-01 1.5964E-02 6.8193E-01 0.3880 0.7498 0.7005 2.3410E-02
3 2.91 1.00 3.2298E-02 6.0269E-01 6.3499E-01 1.2279E-02 4.2447E-01 0.3802 0.7043 0.6491 2.8929E-02
5 5.83 2.00 2.4054E-02 3.7446E-01 3.9851E-01 9.9323E-03 2.5828E-01 0.4129 0.6898 0.6232 3.8455E-02
7 8.74 3.00 2.0360E-02 2.2685E-01 2.4721E-01 9.7890E-03 1.5625E-01 0.4808 0.6888 0.5924 6.2650E-02
9 11.66 4.00 2.2777E-02 1.3692E-01 1.5970E-01 1.2412E-02 9.4829E-02 0.5449 0.6926 0.5161 1.3089E-01
12 14.57 5.00 3.9600E-02 8.4508E-02 1.2411E-01 1.9800E-02 5.8227E-02 0.5000 0.6890 0.3096 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 0.19309 0.37265 0.36487 0.23553 0.45444 0.45969 0.20844
1.000 1.010 1.005 0.30115 0.45292 0.44520 0.26598 0.48931 0.49597 0.08320
2.000 2.010 2.005 0.25882 0.49322 0.47906 0.13140 0.50170 0.51654 -0.09362
3.000 3.010 3.005 0.04585 0.50590 0.46793 -0.11398 0.50209 0.54341 -0.22918
4.000 4.010 4.005 -0.28653 0.50099 0.38829 -0.35505 0.49554 0.62427 -0.29571
4.990 5.000 4.995 -1.47725 0.40216 -0.19369 -0.63254 0.46971 1.03294 -0.30929
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 1.88972E-03 5.72929E-04 2.46265E-03 2.59429E-03 0.021894
9 1 10.0 0.0 180.0 2.25725E-02 1.87826E-03 4.84640E-04 2.36290E-03 2.57856E-03 0.021470
9 4 10.0 45.0 135.0 2.33880E-02 1.87667E-03 5.06659E-04 2.38333E-03 2.57638E-03 0.021663
9 7 10.0 90.0 90.0 2.61789E-02 1.89284E-03 5.69793E-04 2.46263E-03 2.59858E-03 0.021765
8 1 20.0 0.0 180.0 2.16761E-02 1.87012E-03 4.71124E-04 2.34124E-03 2.56739E-03 0.021735
8 4 20.0 45.0 135.0 2.25525E-02 1.86209E-03 4.89047E-04 2.35113E-03 2.55636E-03 0.021685
8 7 20.0 90.0 90.0 2.65648E-02 1.89905E-03 5.80647E-04 2.47970E-03 2.60711E-03 0.021858
7 1 30.0 0.0 180.0 2.24034E-02 1.87873E-03 5.10627E-04 2.38935E-03 2.57921E-03 0.022792
7 4 30.0 45.0 135.0 2.29699E-02 1.88343E-03 5.23207E-04 2.40664E-03 2.58567E-03 0.022778
7 7 30.0 90.0 90.0 2.74481E-02 1.93170E-03 6.25095E-04 2.55680E-03 2.65193E-03 0.022774
6 1 40.0 0.0 180.0 2.51054E-02 1.85978E-03 6.67715E-04 2.52749E-03 2.55319E-03 0.026597
6 4 40.0 45.0 135.0 2.49490E-02 1.86367E-03 6.62295E-04 2.52597E-03 2.55854E-03 0.026546
6 7 40.0 90.0 90.0 2.91946E-02 1.93130E-03 7.70093E-04 2.70139E-03 2.65138E-03 0.026378
5 1 50.0 0.0 180.0 3.05998E-02 1.87499E-03 1.14202E-03 3.01701E-03 2.57408E-03 0.037321
5 4 50.0 45.0 135.0 2.91630E-02 1.87060E-03 1.08629E-03 2.95689E-03 2.56805E-03 0.037249
5 7 50.0 90.0 90.0 3.24232E-02 1.97554E-03 1.19472E-03 3.17026E-03 2.71212E-03 0.036848
4 1 60.0 0.0 180.0 4.07025E-02 1.84226E-03 2.79383E-03 4.63609E-03 2.52914E-03 0.068640
4 4 60.0 45.0 135.0 3.71327E-02 1.83363E-03 2.52759E-03 4.36123E-03 2.51730E-03 0.068069
4 7 60.0 90.0 90.0 3.82732E-02 1.98066E-03 2.55800E-03 4.53866E-03 2.71915E-03 0.066835
3 1 70.0 0.0 180.0 5.99383E-02 1.70405E-03 9.52633E-03 1.12304E-02 2.33940E-03 0.158936
3 4 70.0 45.0 135.0 5.25898E-02 1.71895E-03 8.25756E-03 9.97651E-03 2.35986E-03 0.157018
3 7 70.0 90.0 90.0 4.99290E-02 1.88024E-03 7.69420E-03 9.57444E-03 2.58128E-03 0.154103
2 1 80.0 0.0 180.0 1.02230E-01 1.38763E-03 3.32017E-02 3.45894E-02 1.90501E-03 0.324774
2 4 80.0 45.0 135.0 8.71620E-02 1.38322E-03 2.86101E-02 2.99933E-02 1.89896E-03 0.328241
2 7 80.0 90.0 90.0 7.60745E-02 1.55871E-03 2.53885E-02 2.69472E-02 2.13988E-03 0.333732
1 1 87.5 0.0 180.0 1.61002E-01 1.02921E-03 7.00474E-02 7.10766E-02 1.41295E-03 0.435070
1 4 87.5 45.0 135.0 1.35370E-01 1.00101E-03 6.22795E-02 6.32805E-02 1.37423E-03 0.460068
1 7 87.5 90.0 90.0 1.11690E-01 1.13802E-03 5.45524E-02 5.56904E-02 1.56233E-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 2.463E-03 2.617E-02 1.160E-01 8.369E-02 3.773E-01 3.381E-03 2.535E+01 1.890E-03 2.594E-03
1 0.00 0.00 3.494E-03 4.700E-02 6.556E-03 9.358E-03 2.644E-02 5.124E-03 4.569E+00
3 2.91 1.00 2.993E-03 5.430E-02 4.857E-03 7.769E-03 2.921E-02 7.050E-03 4.103E+00
5 5.83 2.00 3.006E-03 5.137E-02 3.473E-03 5.706E-03 2.014E-02 1.164E-02 3.304E+00
7 8.74 3.00 3.551E-03 4.330E-02 2.448E-03 3.951E-03 1.208E-02 2.272E-02 2.757E+00
9 11.66 4.00 4.639E-03 3.381E-02 1.941E-03 2.878E-03 7.096E-03 4.892E-02 2.676E+00
12 14.57 5.00 6.303E-03 2.505E-02 4.549E-03 4.831E-03 5.986E-03 1.082E-01 3.142E+00
Waveband 22 of 30 completed in 1.4 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 0.0344 0.3344
3 2.895 1.000 0.2834 0.0510 0.0300 0.0344 0.3344
5 5.789 2.000 0.2834 0.0510 0.0300 0.0344 0.3344
7 8.684 3.000 0.2834 0.0510 0.0300 0.0344 0.3344
9 11.578 4.000 0.2834 0.0510 0.0300 0.0344 0.3344
12 14.473 5.000 0.2834 0.0510 0.0300 0.0344 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 0.01279 0.00000 0.00000 0.01335
3 2.895 1.000 0.00055 0.01279 0.00000 0.00000 0.01335
5 5.789 2.000 0.00055 0.01279 0.00000 0.00000 0.01335
7 8.684 3.000 0.00055 0.01279 0.00000 0.00000 0.01335
9 11.578 4.000 0.00055 0.01279 0.00000 0.00000 0.01335
12 14.473 5.000 0.00055 0.01279 0.00000 0.00000 0.01335
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 0.01335 0.00521
3 2.895 1.000 0.3344 2.5601 2.8945 0.8845 0.01335 0.00521
5 5.789 2.000 0.3344 2.5601 2.8945 0.8845 0.01335 0.00521
7 8.684 3.000 0.3344 2.5601 2.8945 0.8845 0.01335 0.00521
9 11.578 4.000 0.3344 2.5601 2.8945 0.8845 0.01335 0.00521
12 14.473 5.000 0.3344 2.5601 2.8945 0.8845 0.01335 0.00521
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 2.2297E-01 1.5841E+00 1.8070E+00 6.1305E-02 7.2222E-01 0.2750 0.4559 0.3658 8.4884E-02
1 0.00 0.00 3.8433E-02 9.0025E-01 9.3868E-01 1.4805E-02 6.7571E-01 0.3852 0.7506 0.7041 2.1910E-02
3 2.89 1.00 2.9611E-02 5.8659E-01 6.1620E-01 1.1155E-02 4.1403E-01 0.3767 0.7058 0.6538 2.6943E-02
5 5.79 2.00 2.1608E-02 3.5845E-01 3.8006E-01 8.8471E-03 2.4800E-01 0.4094 0.6919 0.6292 3.5674E-02
7 8.68 3.00 1.8016E-02 2.1369E-01 2.3171E-01 8.6377E-03 1.4773E-01 0.4794 0.6913 0.6003 5.8471E-02
9 11.58 4.00 2.0155E-02 1.2696E-01 1.4711E-01 1.1019E-02 8.8305E-02 0.5467 0.6955 0.5253 1.2479E-01
12 14.47 5.00 3.5784E-02 7.7138E-02 1.1292E-01 1.7892E-02 5.3411E-02 0.5000 0.6924 0.3145 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 0.20427 0.38729 0.37979 0.25322 0.46992 0.47477 0.23101
1.000 1.010 1.005 0.32170 0.46980 0.46267 0.28744 0.50511 0.51114 0.10066
2.000 2.010 2.005 0.27808 0.50954 0.49637 0.14758 0.51730 0.53100 -0.08906
3.000 3.010 3.005 0.05477 0.52178 0.48539 -0.11254 0.51741 0.55667 -0.23557
4.000 4.010 4.005 -0.29608 0.51670 0.40496 -0.36776 0.51064 0.63651 -0.30690
4.990 5.000 4.995 -1.53504 0.41716 -0.19736 -0.65765 0.48466 1.05518 -0.32148
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 1.72460E-03 5.56258E-04 2.28086E-03 2.38791E-03 0.021894
9 1 10.0 0.0 180.0 2.19157E-02 1.71550E-03 4.70538E-04 2.18604E-03 2.37531E-03 0.021470
9 4 10.0 45.0 135.0 2.27075E-02 1.71377E-03 4.91916E-04 2.20569E-03 2.37291E-03 0.021663
9 7 10.0 90.0 90.0 2.54171E-02 1.72816E-03 5.53213E-04 2.28138E-03 2.39283E-03 0.021765
8 1 20.0 0.0 180.0 2.10454E-02 1.70993E-03 4.57416E-04 2.16735E-03 2.36759E-03 0.021735
8 4 20.0 45.0 135.0 2.18963E-02 1.70202E-03 4.74817E-04 2.17683E-03 2.35663E-03 0.021685
8 7 20.0 90.0 90.0 2.57918E-02 1.73518E-03 5.63752E-04 2.29893E-03 2.40255E-03 0.021858
7 1 30.0 0.0 180.0 2.17515E-02 1.71994E-03 4.95769E-04 2.21571E-03 2.38145E-03 0.022792
7 4 30.0 45.0 135.0 2.23015E-02 1.72337E-03 5.07983E-04 2.23135E-03 2.38619E-03 0.022778
7 7 30.0 90.0 90.0 2.66494E-02 1.76668E-03 6.06906E-04 2.37358E-03 2.44616E-03 0.022774
6 1 40.0 0.0 180.0 2.43749E-02 1.70663E-03 6.48286E-04 2.35491E-03 2.36301E-03 0.026597
6 4 40.0 45.0 135.0 2.42230E-02 1.70888E-03 6.43024E-04 2.35190E-03 2.36613E-03 0.026546
6 7 40.0 90.0 90.0 2.83452E-02 1.76988E-03 7.47684E-04 2.51756E-03 2.45059E-03 0.026378
5 1 50.0 0.0 180.0 2.97094E-02 1.72362E-03 1.10879E-03 2.83242E-03 2.38655E-03 0.037321
5 4 50.0 45.0 135.0 2.83144E-02 1.71802E-03 1.05469E-03 2.77271E-03 2.37880E-03 0.037249
5 7 50.0 90.0 90.0 3.14797E-02 1.81352E-03 1.15995E-03 2.97347E-03 2.51102E-03 0.036848
4 1 60.0 0.0 180.0 3.95181E-02 1.69685E-03 2.71254E-03 4.40939E-03 2.34948E-03 0.068640
4 4 60.0 45.0 135.0 3.60526E-02 1.68713E-03 2.45405E-03 4.14118E-03 2.33602E-03 0.068069
4 7 60.0 90.0 90.0 3.71571E-02 1.82162E-03 2.48354E-03 4.30516E-03 2.52224E-03 0.066839
3 1 70.0 0.0 180.0 5.81942E-02 1.57215E-03 9.24913E-03 1.08213E-02 2.17682E-03 0.158935
3 4 70.0 45.0 135.0 5.10595E-02 1.58417E-03 8.01729E-03 9.60146E-03 2.19346E-03 0.157018
3 7 70.0 90.0 90.0 4.84762E-02 1.73248E-03 7.47028E-03 9.20276E-03 2.39881E-03 0.154102
2 1 80.0 0.0 180.0 9.92556E-02 1.28234E-03 3.22356E-02 3.35180E-02 1.77554E-03 0.324774
2 4 80.0 45.0 135.0 8.46258E-02 1.27681E-03 2.77776E-02 2.90544E-02 1.76789E-03 0.328241
2 7 80.0 90.0 90.0 7.38609E-02 1.43878E-03 2.46497E-02 2.60885E-02 1.99215E-03 0.333732
1 1 87.5 0.0 180.0 1.56318E-01 9.51916E-04 6.80092E-02 6.89611E-02 1.31803E-03 0.435070
1 4 87.5 45.0 135.0 1.31431E-01 9.24775E-04 6.04673E-02 6.13921E-02 1.28045E-03 0.460068
1 7 87.5 90.0 90.0 1.08440E-01 1.05141E-03 5.29650E-02 5.40164E-02 1.45579E-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 2.281E-03 2.541E-02 1.126E-01 8.123E-02 3.679E-01 3.158E-03 2.688E+01 1.725E-03 2.388E-03
1 0.00 0.00 3.189E-03 4.563E-02 6.131E-03 8.780E-03 2.516E-02 4.719E-03 4.643E+00
3 2.89 1.00 2.674E-03 5.223E-02 4.478E-03 7.203E-03 2.745E-02 6.459E-03 4.171E+00
5 5.79 2.00 2.656E-03 4.887E-02 3.143E-03 5.194E-03 1.858E-02 1.071E-02 3.331E+00
7 8.68 3.00 3.142E-03 4.073E-02 2.173E-03 3.530E-03 1.095E-02 2.127E-02 2.749E+00
9 11.58 4.00 4.142E-03 3.145E-02 1.694E-03 2.527E-03 6.321E-03 4.691E-02 2.660E+00
12 14.47 5.00 5.695E-03 2.303E-02 4.078E-03 4.325E-03 5.353E-03 1.066E-01 3.142E+00
Waveband 23 of 30 completed in 1.4 sec.
* * * * * Output for wavelength band 24 (630.0 to 640.0 nm; nominal wavelength = 635.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
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 0.0383 0.3497
3 2.877 1.000 0.3012 0.0485 0.0278 0.0383 0.3497
5 5.753 2.000 0.3012 0.0485 0.0278 0.0383 0.3497
7 8.630 3.000 0.3012 0.0485 0.0278 0.0383 0.3497
9 11.507 4.000 0.3012 0.0485 0.0278 0.0383 0.3497
12 14.384 5.000 0.3012 0.0485 0.0278 0.0383 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 0.01263 0.00000 0.00000 0.01314
3 2.877 1.000 0.00051 0.01263 0.00000 0.00000 0.01314
5 5.753 2.000 0.00051 0.01263 0.00000 0.00000 0.01314
7 8.630 3.000 0.00051 0.01263 0.00000 0.00000 0.01314
9 11.507 4.000 0.00051 0.01263 0.00000 0.00000 0.01314
12 14.384 5.000 0.00051 0.01263 0.00000 0.00000 0.01314
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 0.01314 0.00520
3 2.877 1.000 0.3497 2.5270 2.8767 0.8784 0.01314 0.00520
5 5.753 2.000 0.3497 2.5270 2.8767 0.8784 0.01314 0.00520
7 8.630 3.000 0.3497 2.5270 2.8767 0.8784 0.01314 0.00520
9 11.507 4.000 0.3497 2.5270 2.8767 0.8784 0.01314 0.00520
12 14.384 5.000 0.3497 2.5270 2.8767 0.8784 0.01314 0.00520
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 2.1896E-01 1.5713E+00 1.7902E+00 6.0298E-02 7.1765E-01 0.2754 0.4567 0.3672 8.4021E-02
1 0.00 0.00 3.5663E-02 8.9284E-01 9.2850E-01 1.3623E-02 6.7096E-01 0.3820 0.7515 0.7080 2.0304E-02
3 2.88 1.00 2.6829E-02 5.6961E-01 5.9644E-01 9.9973E-03 4.0303E-01 0.3726 0.7076 0.6590 2.4805E-02
5 5.75 2.00 1.9071E-02 3.4088E-01 3.5995E-01 7.7255E-03 2.3668E-01 0.4051 0.6943 0.6361 3.2641E-02
7 8.63 3.00 1.5583E-02 1.9914E-01 2.1472E-01 7.4421E-03 1.3826E-01 0.4776 0.6943 0.6093 5.3825E-02
9 11.51 4.00 1.7417E-02 1.1599E-01 1.3341E-01 9.5589E-03 8.1085E-02 0.5488 0.6990 0.5361 1.1789E-01
12 14.38 5.00 3.1730E-02 6.9106E-02 1.0084E-01 1.5865E-02 4.8128E-02 0.5000 0.6964 0.3199 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 0.21892 0.40589 0.39871 0.27576 0.48941 0.49385 0.26056
1.000 1.010 1.005 0.34793 0.49102 0.48458 0.31522 0.52504 0.53039 0.12482
2.000 2.010 2.005 0.30317 0.53009 0.51805 0.16954 0.53696 0.54938 -0.08156
3.000 3.010 3.005 0.06724 0.54176 0.50725 -0.10940 0.53669 0.57357 -0.24294
4.000 4.010 4.005 -0.30747 0.53638 0.42581 -0.38327 0.52959 0.65222 -0.32080
4.990 5.000 4.995 -1.60731 0.43570 -0.20269 -0.68911 0.50336 1.08458 -0.33673
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 1.55692E-03 5.41313E-04 2.09823E-03 2.16947E-03 0.021894
9 1 10.0 0.0 180.0 2.13268E-02 1.55036E-03 4.57896E-04 2.00825E-03 2.16033E-03 0.021470
9 4 10.0 45.0 135.0 2.20974E-02 1.54846E-03 4.78699E-04 2.02716E-03 2.15768E-03 0.021663
9 7 10.0 90.0 90.0 2.47342E-02 1.56098E-03 5.38350E-04 2.09933E-03 2.17513E-03 0.021765
8 1 20.0 0.0 180.0 2.04799E-02 1.54752E-03 4.45126E-04 1.99264E-03 2.15637E-03 0.021735
8 4 20.0 45.0 135.0 2.13080E-02 1.53969E-03 4.62059E-04 2.00175E-03 2.14547E-03 0.021685
8 7 20.0 90.0 90.0 2.50989E-02 1.56888E-03 5.48605E-04 2.11748E-03 2.18613E-03 0.021858
7 1 30.0 0.0 180.0 2.11671E-02 1.55908E-03 4.82449E-04 2.04153E-03 2.17249E-03 0.022792
7 4 30.0 45.0 135.0 2.17023E-02 1.56118E-03 4.94334E-04 2.05552E-03 2.17541E-03 0.022778
7 7 30.0 90.0 90.0 2.59334E-02 1.59930E-03 5.90600E-04 2.18990E-03 2.22853E-03 0.022774
6 1 40.0 0.0 180.0 2.37199E-02 1.55172E-03 6.30868E-04 2.18259E-03 2.16223E-03 0.026596
6 4 40.0 45.0 135.0 2.35722E-02 1.55227E-03 6.25747E-04 2.17802E-03 2.16300E-03 0.026546
6 7 40.0 90.0 90.0 2.75836E-02 1.60630E-03 7.27595E-04 2.33389E-03 2.23828E-03 0.026378
5 1 50.0 0.0 180.0 2.89112E-02 1.57068E-03 1.07900E-03 2.64969E-03 2.18865E-03 0.037321
5 4 50.0 45.0 135.0 2.75537E-02 1.56381E-03 1.02635E-03 2.59017E-03 2.17908E-03 0.037249
5 7 50.0 90.0 90.0 3.06339E-02 1.64940E-03 1.12878E-03 2.77818E-03 2.29834E-03 0.036847
4 1 60.0 0.0 180.0 3.84564E-02 1.55010E-03 2.63967E-03 4.18976E-03 2.15996E-03 0.068641
4 4 60.0 45.0 135.0 3.50843E-02 1.53922E-03 2.38812E-03 3.92734E-03 2.14481E-03 0.068068
4 7 60.0 90.0 90.0 3.61564E-02 1.66058E-03 2.41678E-03 4.07735E-03 2.31392E-03 0.066842
3 1 70.0 0.0 180.0 5.66306E-02 1.43913E-03 9.00061E-03 1.04397E-02 2.00534E-03 0.158935
3 4 70.0 45.0 135.0 4.96876E-02 1.44816E-03 7.80188E-03 9.25005E-03 2.01793E-03 0.157019
3 7 70.0 90.0 90.0 4.71737E-02 1.58283E-03 7.26952E-03 8.85235E-03 2.20558E-03 0.154101
2 1 80.0 0.0 180.0 9.65888E-02 1.17622E-03 3.13695E-02 3.25458E-02 1.63899E-03 0.324774
2 4 80.0 45.0 135.0 8.23520E-02 1.16950E-03 2.70313E-02 2.82008E-02 1.62963E-03 0.328241
2 7 80.0 90.0 90.0 7.18764E-02 1.31728E-03 2.39874E-02 2.53047E-02 1.83555E-03 0.333731
1 1 87.5 0.0 180.0 1.52118E-01 8.74033E-04 6.61819E-02 6.70559E-02 1.21791E-03 0.435070
1 4 87.5 45.0 135.0 1.27900E-01 8.47904E-04 5.88427E-02 5.96906E-02 1.18150E-03 0.460068
1 7 87.5 90.0 90.0 1.05526E-01 9.63642E-04 5.15419E-02 5.25056E-02 1.34278E-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 2.098E-03 2.472E-02 1.096E-01 7.902E-02 3.597E-01 2.924E-03 2.874E+01 1.557E-03 2.169E-03
1 0.00 0.00 2.879E-03 4.440E-02 5.702E-03 8.192E-03 2.383E-02 4.290E-03 4.733E+00
3 2.88 1.00 2.347E-03 5.017E-02 4.091E-03 6.617E-03 2.558E-02 5.824E-03 4.259E+00
5 5.75 2.00 2.293E-03 4.627E-02 2.804E-03 4.660E-03 1.691E-02 9.690E-03 3.368E+00
7 8.63 3.00 2.714E-03 3.799E-02 1.892E-03 3.094E-03 9.743E-03 1.963E-02 2.742E+00
9 11.51 4.00 3.619E-03 2.890E-02 1.443E-03 2.166E-03 5.500E-03 4.463E-02 2.641E+00
12 14.38 5.00 5.050E-03 2.084E-02 3.582E-03 3.794E-03 4.685E-03 1.049E-01 3.142E+00
Waveband 24 of 30 completed in 1.4 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 0.0375 0.3710
3 2.869 1.000 0.3250 0.0460 0.0255 0.0375 0.3710
5 5.738 2.000 0.3250 0.0460 0.0255 0.0375 0.3710
7 8.607 3.000 0.3250 0.0460 0.0255 0.0375 0.3710
9 11.476 4.000 0.3250 0.0460 0.0255 0.0375 0.3710
12 14.345 5.000 0.3250 0.0460 0.0255 0.0375 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 0.01248 0.00000 0.00000 0.01297
3 2.869 1.000 0.00048 0.01248 0.00000 0.00000 0.01297
5 5.738 2.000 0.00048 0.01248 0.00000 0.00000 0.01297
7 8.607 3.000 0.00048 0.01248 0.00000 0.00000 0.01297
9 11.476 4.000 0.00048 0.01248 0.00000 0.00000 0.01297
12 14.345 5.000 0.00048 0.01248 0.00000 0.00000 0.01297
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 0.01297 0.00519
3 2.869 1.000 0.3710 2.4980 2.8690 0.8707 0.01297 0.00519
5 5.738 2.000 0.3710 2.4980 2.8690 0.8707 0.01297 0.00519
7 8.607 3.000 0.3710 2.4980 2.8690 0.8707 0.01297 0.00519
9 11.476 4.000 0.3710 2.4980 2.8690 0.8707 0.01297 0.00519
12 14.345 5.000 0.3710 2.4980 2.8690 0.8707 0.01297 0.00519
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 2.1023E-01 1.5240E+00 1.7342E+00 5.7950E-02 6.9722E-01 0.2757 0.4575 0.3686 8.3116E-02
1 0.00 0.00 3.1914E-02 8.6551E-01 8.9742E-01 1.2075E-02 6.5133E-01 0.3784 0.7525 0.7123 1.8539E-02
3 2.87 1.00 2.3237E-02 5.3618E-01 5.5942E-01 8.5496E-03 3.8046E-01 0.3679 0.7096 0.6648 2.2471E-02
5 5.74 2.00 1.5943E-02 3.1158E-01 3.2753E-01 6.3812E-03 2.1727E-01 0.4002 0.6973 0.6439 2.9370E-02
7 8.61 3.00 1.2697E-02 1.7691E-01 1.8961E-01 6.0482E-03 1.2349E-01 0.4763 0.6981 0.6194 4.8975E-02
9 11.48 4.00 1.4232E-02 1.0023E-01 1.1446E-01 7.8677E-03 7.0509E-02 0.5528 0.7035 0.5473 1.1158E-01
12 14.34 5.00 2.6990E-02 5.8139E-02 8.5130E-02 1.3495E-02 4.0770E-02 0.5000 0.7012 0.3204 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 0.24009 0.43208 0.42524 0.30644 0.51677 0.52075 0.30066
1.000 1.010 1.005 0.38370 0.52076 0.51506 0.35283 0.55315 0.55776 0.15784
2.000 2.010 2.005 0.33659 0.55904 0.54820 0.19832 0.56466 0.57577 -0.07250
3.000 3.010 3.005 0.08119 0.56981 0.53702 -0.10818 0.56376 0.59849 -0.25501
4.000 4.010 4.005 -0.32776 0.56375 0.45247 -0.40778 0.55607 0.67779 -0.34137
4.990 5.000 4.995 -1.71799 0.45822 -0.22663 -0.73532 0.52877 1.14836 -0.35846
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 1.34962E-03 5.15444E-04 1.86506E-03 1.93572E-03 0.021894
9 1 10.0 0.0 180.0 2.03076E-02 1.34586E-03 4.36013E-04 1.78187E-03 1.93033E-03 0.021470
9 4 10.0 45.0 135.0 2.10414E-02 1.34381E-03 4.55823E-04 1.79963E-03 1.92740E-03 0.021663
9 7 10.0 90.0 90.0 2.35522E-02 1.35403E-03 5.12623E-04 1.86665E-03 1.94205E-03 0.021765
8 1 20.0 0.0 180.0 1.95012E-02 1.34581E-03 4.23854E-04 1.76966E-03 1.93026E-03 0.021735
8 4 20.0 45.0 135.0 2.02897E-02 1.33823E-03 4.39978E-04 1.77821E-03 1.91940E-03 0.021685
8 7 20.0 90.0 90.0 2.38994E-02 1.36252E-03 5.22388E-04 1.88491E-03 1.95423E-03 0.021858
7 1 30.0 0.0 180.0 2.01555E-02 1.35860E-03 4.59393E-04 1.81799E-03 1.94860E-03 0.022792
7 4 30.0 45.0 135.0 2.06652E-02 1.35927E-03 4.70711E-04 1.82998E-03 1.94957E-03 0.022778
7 7 30.0 90.0 90.0 2.46941E-02 1.39097E-03 5.62376E-04 1.95335E-03 1.99504E-03 0.022774
6 1 40.0 0.0 180.0 2.25864E-02 1.35725E-03 6.00719E-04 1.95797E-03 1.94667E-03 0.026596
6 4 40.0 45.0 135.0 2.24457E-02 1.35605E-03 5.95843E-04 1.95189E-03 1.94494E-03 0.026546
6 7 40.0 90.0 90.0 2.62654E-02 1.40133E-03 6.92823E-04 2.09415E-03 2.00990E-03 0.026378
5 1 50.0 0.0 180.0 2.75296E-02 1.37758E-03 1.02744E-03 2.40502E-03 1.97584E-03 0.037321
5 4 50.0 45.0 135.0 2.62369E-02 1.36957E-03 9.77304E-04 2.34687E-03 1.96434E-03 0.037249
5 7 50.0 90.0 90.0 2.91700E-02 1.44255E-03 1.07483E-03 2.51737E-03 2.06901E-03 0.036847
4 1 60.0 0.0 180.0 3.66186E-02 1.36358E-03 2.51352E-03 3.87711E-03 1.95576E-03 0.068641
4 4 60.0 45.0 135.0 3.34080E-02 1.35177E-03 2.27400E-03 3.62577E-03 1.93881E-03 0.068067
4 7 60.0 90.0 90.0 3.44263E-02 1.45624E-03 2.30125E-03 3.75749E-03 2.08865E-03 0.066846
3 1 70.0 0.0 180.0 5.39243E-02 1.26907E-03 8.57048E-03 9.83955E-03 1.82020E-03 0.158935
3 4 70.0 45.0 135.0 4.73131E-02 1.27482E-03 7.42905E-03 8.70386E-03 1.82844E-03 0.157019
3 7 70.0 90.0 90.0 4.49194E-02 1.39164E-03 6.92208E-03 8.31372E-03 1.99600E-03 0.154100
2 1 80.0 0.0 180.0 9.19730E-02 1.03974E-03 2.98704E-02 3.09102E-02 1.49127E-03 0.324774
2 4 80.0 45.0 135.0 7.84165E-02 1.03192E-03 2.57395E-02 2.67714E-02 1.48006E-03 0.328241
2 7 80.0 90.0 90.0 6.84415E-02 1.16097E-03 2.28410E-02 2.40020E-02 1.66516E-03 0.333731
1 1 87.5 0.0 180.0 1.44848E-01 7.73544E-04 6.30192E-02 6.37927E-02 1.10948E-03 0.435070
1 4 87.5 45.0 135.0 1.21788E-01 7.49041E-04 5.60307E-02 5.67797E-02 1.07433E-03 0.460068
1 7 87.5 90.0 90.0 1.00483E-01 8.50330E-04 4.90788E-02 4.99291E-02 1.21961E-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 1.865E-03 2.354E-02 1.043E-01 7.521E-02 3.440E-01 2.675E-03 3.107E+01 1.350E-03 1.936E-03
1 0.00 0.00 2.495E-03 4.227E-02 5.124E-03 7.380E-03 2.183E-02 3.831E-03 4.839E+00
3 2.87 1.00 1.958E-03 4.687E-02 3.584E-03 5.829E-03 2.287E-02 5.148E-03 4.365E+00
5 5.74 2.00 1.872E-03 4.230E-02 2.378E-03 3.973E-03 1.461E-02 8.617E-03 3.408E+00
7 8.61 3.00 2.221E-03 3.399E-02 1.554E-03 2.555E-03 8.154E-03 1.798E-02 2.723E+00
9 11.48 4.00 3.013E-03 2.529E-02 1.151E-03 1.737E-03 4.465E-03 4.273E-02 2.611E+00
12 14.34 5.00 4.296E-03 1.785E-02 3.007E-03 3.175E-03 3.888E-03 1.054E-01 3.142E+00
Waveband 25 of 30 completed in 1.4 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 0.0447 0.4185
3 2.883 1.000 0.3710 0.0475 0.0243 0.0447 0.4185
5 5.766 2.000 0.3710 0.0475 0.0243 0.0447 0.4185
7 8.649 3.000 0.3710 0.0475 0.0243 0.0447 0.4185
9 11.533 4.000 0.3710 0.0475 0.0243 0.0447 0.4185
12 14.416 5.000 0.3710 0.0475 0.0243 0.0447 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 0.01232 0.00000 0.00000 0.01277
3 2.883 1.000 0.00045 0.01232 0.00000 0.00000 0.01277
5 5.766 2.000 0.00045 0.01232 0.00000 0.00000 0.01277
7 8.649 3.000 0.00045 0.01232 0.00000 0.00000 0.01277
9 11.533 4.000 0.00045 0.01232 0.00000 0.00000 0.01277
12 14.416 5.000 0.00045 0.01232 0.00000 0.00000 0.01277
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 0.01277 0.00518
3 2.883 1.000 0.4185 2.4647 2.8832 0.8548 0.01277 0.00518
5 5.766 2.000 0.4185 2.4647 2.8832 0.8548 0.01277 0.00518
7 8.649 3.000 0.4185 2.4647 2.8832 0.8548 0.01277 0.00518
9 11.533 4.000 0.4185 2.4647 2.8832 0.8548 0.01277 0.00518
12 14.416 5.000 0.4185 2.4647 2.8832 0.8548 0.01277 0.00518
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 1.9871E-01 1.4590E+00 1.6577E+00 5.4693E-02 6.6857E-01 0.2752 0.4582 0.3703 8.1806E-02
1 0.00 0.00 2.6384E-02 8.2677E-01 8.5316E-01 9.8141E-03 6.2368E-01 0.3720 0.7544 0.7195 1.5736E-02
3 2.88 1.00 1.7815E-02 4.7977E-01 4.9759E-01 6.3830E-03 3.4218E-01 0.3583 0.7132 0.6748 1.8654E-02
5 5.77 2.00 1.1195E-02 2.6108E-01 2.7228E-01 4.3324E-03 1.8353E-01 0.3870 0.7030 0.6582 2.3606E-02
7 8.65 3.00 8.2334E-03 1.3910E-01 1.4733E-01 3.8434E-03 9.8120E-02 0.4668 0.7054 0.6399 3.9170E-02
9 11.53 4.00 9.0276E-03 7.4093E-02 8.3121E-02 5.0222E-03 5.2776E-02 0.5563 0.7123 0.5745 9.5162E-02
12 14.42 5.00 1.8323E-02 4.0456E-02 5.8779E-02 9.1616E-03 2.8783E-02 0.5000 0.7115 0.3338 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 0.29164 0.49125 0.48508 0.37740 0.57809 0.58130 0.40120
1.000 1.010 1.005 0.46773 0.58713 0.58286 0.44636 0.61623 0.61947 0.26028
2.000 2.010 2.005 0.42595 0.62376 0.61562 0.28825 0.62671 0.63491 -0.02112
3.000 3.010 3.005 0.14106 0.63236 0.60484 -0.07536 0.62420 0.65282 -0.26536
4.000 4.010 4.005 -0.34837 0.62473 0.51858 -0.44582 0.61507 0.72730 -0.38098
4.990 5.000 4.995 -1.92946 0.51481 -0.24075 -0.82947 0.58642 1.24072 -0.40456
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 1.04768E-03 4.84439E-04 1.53212E-03 1.56706E-03 0.021894
9 1 10.0 0.0 180.0 1.90861E-02 1.04856E-03 4.09787E-04 1.45835E-03 1.56837E-03 0.021470
9 4 10.0 45.0 135.0 1.97757E-02 1.04629E-03 4.28404E-04 1.47469E-03 1.56497E-03 0.021663
9 7 10.0 90.0 90.0 2.21355E-02 1.05302E-03 4.81788E-04 1.53481E-03 1.57504E-03 0.021765
8 1 20.0 0.0 180.0 1.83282E-02 1.05329E-03 3.98358E-04 1.45165E-03 1.57545E-03 0.021735
8 4 20.0 45.0 135.0 1.90693E-02 1.04609E-03 4.13513E-04 1.45960E-03 1.56467E-03 0.021685
8 7 20.0 90.0 90.0 2.24618E-02 1.06302E-03 4.90966E-04 1.55399E-03 1.59000E-03 0.021858
7 1 30.0 0.0 180.0 1.89431E-02 1.06868E-03 4.31760E-04 1.50044E-03 1.59847E-03 0.022792
7 4 30.0 45.0 135.0 1.94221E-02 1.06732E-03 4.42397E-04 1.50972E-03 1.59644E-03 0.022778
7 7 30.0 90.0 90.0 2.32087E-02 1.08937E-03 5.28548E-04 1.61792E-03 1.62941E-03 0.022774
6 1 40.0 0.0 180.0 2.12278E-02 1.07753E-03 5.64585E-04 1.64211E-03 1.61170E-03 0.026596
6 4 40.0 45.0 135.0 2.10955E-02 1.07385E-03 5.60002E-04 1.63386E-03 1.60620E-03 0.026546
6 7 40.0 90.0 90.0 2.46855E-02 1.10590E-03 6.51148E-04 1.75705E-03 1.65413E-03 0.026378
5 1 50.0 0.0 180.0 2.58736E-02 1.10080E-03 9.65636E-04 2.06643E-03 1.64650E-03 0.037321
5 4 50.0 45.0 135.0 2.46587E-02 1.09120E-03 9.18519E-04 2.00972E-03 1.63215E-03 0.037249
5 7 50.0 90.0 90.0 2.74154E-02 1.14507E-03 1.01017E-03 2.15524E-03 1.71273E-03 0.036847
4 1 60.0 0.0 180.0 3.44159E-02 1.09726E-03 2.36234E-03 3.45960E-03 1.64122E-03 0.068641
4 4 60.0 45.0 135.0 3.13989E-02 1.08416E-03 2.13722E-03 3.22138E-03 1.62161E-03 0.068067
4 7 60.0 90.0 90.0 3.23534E-02 1.16306E-03 2.16280E-03 3.32586E-03 1.73963E-03 0.066849
3 1 70.0 0.0 180.0 5.06807E-02 1.02680E-03 8.05494E-03 9.08174E-03 1.53582E-03 0.158935
3 4 70.0 45.0 135.0 4.44672E-02 1.02787E-03 6.98218E-03 8.01005E-03 1.53742E-03 0.157019
3 7 70.0 90.0 90.0 4.22174E-02 1.11739E-03 6.50567E-03 7.62306E-03 1.67132E-03 0.154099
2 1 80.0 0.0 180.0 8.64407E-02 8.45725E-04 2.80737E-02 2.89194E-02 1.26498E-03 0.324774
2 4 80.0 45.0 135.0 7.36997E-02 8.36314E-04 2.41912E-02 2.50276E-02 1.25091E-03 0.328241
2 7 80.0 90.0 90.0 6.43246E-02 9.36793E-04 2.14671E-02 2.24039E-02 1.40120E-03 0.333730
1 1 87.5 0.0 180.0 1.36135E-01 6.30812E-04 5.92285E-02 5.98593E-02 9.43530E-04 0.435070
1 4 87.5 45.0 135.0 1.14462E-01 6.08574E-04 5.26604E-02 5.32689E-02 9.10268E-04 0.460068
1 7 87.5 90.0 90.0 9.44393E-02 6.87737E-04 4.61266E-02 4.68144E-02 1.02867E-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 1.532E-03 2.213E-02 9.800E-02 7.063E-02 3.247E-01 2.292E-03 3.570E+01 1.048E-03 1.567E-03
1 0.00 0.00 1.937E-03 3.972E-02 4.304E-03 6.192E-03 1.872E-02 3.105E-03 5.067E+00
3 2.88 1.00 1.368E-03 4.199E-02 2.841E-03 4.635E-03 1.850E-02 3.997E-03 4.666E+00
5 5.77 2.00 1.206E-03 3.602E-02 1.753E-03 2.936E-03 1.095E-02 6.570E-03 3.593E+00
7 8.65 3.00 1.404E-03 2.749E-02 1.063E-03 1.755E-03 5.677E-03 1.431E-02 2.738E+00
9 11.53 4.00 1.957E-03 1.943E-02 7.291E-04 1.109E-03 2.894E-03 3.709E-02 2.566E+00
12 14.42 5.00 2.916E-03 1.302E-02 2.002E-03 2.105E-03 2.547E-03 1.013E-01 3.142E+00
Waveband 26 of 30 completed in 1.4 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 0.0614 0.4830
3 2.912 1.000 0.4290 0.0540 0.0250 0.0614 0.4830
5 5.824 2.000 0.4290 0.0540 0.0250 0.0614 0.4830
7 8.736 3.000 0.4290 0.0540 0.0250 0.0614 0.4830
9 11.647 4.000 0.4290 0.0540 0.0250 0.0614 0.4830
12 14.559 5.000 0.4290 0.0540 0.0250 0.0614 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 0.01214 0.00000 0.00000 0.01256
3 2.912 1.000 0.00042 0.01214 0.00000 0.00000 0.01256
5 5.824 2.000 0.00042 0.01214 0.00000 0.00000 0.01256
7 8.736 3.000 0.00042 0.01214 0.00000 0.00000 0.01256
9 11.647 4.000 0.00042 0.01214 0.00000 0.00000 0.01256
12 14.559 5.000 0.00042 0.01214 0.00000 0.00000 0.01256
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 0.01256 0.00517
3 2.912 1.000 0.4830 2.4288 2.9118 0.8341 0.01256 0.00517
5 5.824 2.000 0.4830 2.4288 2.9118 0.8341 0.01256 0.00517
7 8.736 3.000 0.4830 2.4288 2.9118 0.8341 0.01256 0.00517
9 11.647 4.000 0.4830 2.4288 2.9118 0.8341 0.01256 0.00517
12 14.559 5.000 0.4830 2.4288 2.9118 0.8341 0.01256 0.00517
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 2.0684E-01 1.5345E+00 1.7413E+00 5.6961E-02 7.0423E-01 0.2754 0.4589 0.3717 8.0884E-02
1 0.00 0.00 2.4354E-02 8.6827E-01 8.9263E-01 8.9922E-03 6.5625E-01 0.3692 0.7558 0.7251 1.3702E-02
3 2.91 1.00 1.4913E-02 4.6154E-01 4.7645E-01 5.2580E-03 3.3090E-01 0.3526 0.7170 0.6835 1.5890E-02
5 5.82 2.00 8.3570E-03 2.3016E-01 2.3852E-01 3.1151E-03 1.6322E-01 0.3728 0.7091 0.6712 1.9086E-02
7 8.74 3.00 5.3715E-03 1.1276E-01 1.1813E-01 2.3901E-03 8.0443E-02 0.4450 0.7134 0.6608 2.9711E-02
9 11.65 4.00 5.3363E-03 5.5416E-02 6.0753E-02 2.9263E-03 3.9999E-02 0.5484 0.7218 0.6102 7.3160E-02
12 14.56 5.00 1.1132E-02 2.7944E-02 3.9077E-02 5.5662E-03 2.0209E-02 0.5000 0.7232 0.3747 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 0.36812 0.57282 0.56723 0.46867 0.66095 0.66362 0.52811
1.000 1.010 1.005 0.57364 0.67567 0.67247 0.56676 0.70090 0.70306 0.43013
2.000 2.010 2.005 0.55218 0.70946 0.70394 0.43915 0.70940 0.71466 0.12703
3.000 3.010 3.005 0.27487 0.71443 0.69440 0.04466 0.70410 0.72436 -0.21740
4.000 4.010 4.005 -0.30437 0.70392 0.61495 -0.44040 0.69237 0.78233 -0.40625
4.990 5.000 4.995 -2.11651 0.60173 -0.16516 -0.92536 0.66325 1.26056 -0.45526
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 9.34754E-04 5.00382E-04 1.43514E-03 1.32734E-03 0.021894
9 1 10.0 0.0 180.0 1.97142E-02 9.40176E-04 4.23272E-04 1.36345E-03 1.33504E-03 0.021470
9 4 10.0 45.0 135.0 2.04265E-02 9.37367E-04 4.42503E-04 1.37987E-03 1.33105E-03 0.021663
9 7 10.0 90.0 90.0 2.28639E-02 9.41494E-04 4.97643E-04 1.43914E-03 1.33691E-03 0.021765
8 1 20.0 0.0 180.0 1.89313E-02 9.49397E-04 4.11468E-04 1.36087E-03 1.34813E-03 0.021735
8 4 20.0 45.0 135.0 1.96968E-02 9.41620E-04 4.27121E-04 1.36874E-03 1.33709E-03 0.021685
8 7 20.0 90.0 90.0 2.32010E-02 9.53697E-04 5.07123E-04 1.46082E-03 1.35424E-03 0.021858
7 1 30.0 0.0 180.0 1.95665E-02 9.68688E-04 4.45969E-04 1.41466E-03 1.37553E-03 0.022792
7 4 30.0 45.0 135.0 2.00613E-02 9.65688E-04 4.56955E-04 1.42264E-03 1.37127E-03 0.022778
7 7 30.0 90.0 90.0 2.39725E-02 9.81167E-04 5.45942E-04 1.52711E-03 1.39325E-03 0.022774
6 1 40.0 0.0 180.0 2.19264E-02 9.86249E-04 5.83164E-04 1.56941E-03 1.40046E-03 0.026596
6 4 40.0 45.0 135.0 2.17898E-02 9.80509E-04 5.78431E-04 1.55894E-03 1.39231E-03 0.026546
6 7 40.0 90.0 90.0 2.54979E-02 1.00324E-03 6.72576E-04 1.67582E-03 1.42459E-03 0.026378
5 1 50.0 0.0 180.0 2.67251E-02 1.01393E-03 9.97414E-04 2.01134E-03 1.43977E-03 0.037321
5 4 50.0 45.0 135.0 2.54702E-02 1.00230E-03 9.48748E-04 1.95105E-03 1.42325E-03 0.037249
5 7 50.0 90.0 90.0 2.83176E-02 1.04355E-03 1.04340E-03 2.08695E-03 1.48183E-03 0.036846
4 1 60.0 0.0 180.0 3.55485E-02 1.01740E-03 2.44008E-03 3.45748E-03 1.44469E-03 0.068641
4 4 60.0 45.0 135.0 3.24325E-02 1.00208E-03 2.20756E-03 3.20964E-03 1.42294E-03 0.068066
4 7 60.0 90.0 90.0 3.34159E-02 1.06484E-03 2.23394E-03 3.29878E-03 1.51206E-03 0.066853
3 1 70.0 0.0 180.0 5.23486E-02 9.56363E-04 8.32001E-03 9.27638E-03 1.35803E-03 0.158935
3 4 70.0 45.0 135.0 4.59305E-02 9.54062E-04 7.21196E-03 8.16602E-03 1.35476E-03 0.157019
3 7 70.0 90.0 90.0 4.36067E-02 1.02593E-03 6.71972E-03 7.74565E-03 1.45681E-03 0.154098
2 1 80.0 0.0 180.0 8.92853E-02 7.91108E-04 2.89976E-02 2.97887E-02 1.12336E-03 0.324774
2 4 80.0 45.0 135.0 7.61250E-02 7.79373E-04 2.49873E-02 2.57667E-02 1.10670E-03 0.328241
2 7 80.0 90.0 90.0 6.64415E-02 8.62302E-04 2.21735E-02 2.30358E-02 1.22446E-03 0.333730
1 1 87.5 0.0 180.0 1.40615E-01 5.91169E-04 6.11776E-02 6.17688E-02 8.39454E-04 0.435070
1 4 87.5 45.0 135.0 1.18229E-01 5.68104E-04 5.43933E-02 5.49614E-02 8.06701E-04 0.460068
1 7 87.5 90.0 90.0 9.75471E-02 6.33645E-04 4.76446E-02 4.82782E-02 8.99769E-04 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 1.435E-03 2.285E-02 1.012E-01 7.291E-02 3.369E-01 2.038E-03 3.969E+01 9.348E-04 1.327E-03
1 0.00 0.00 1.728E-03 4.102E-02 4.098E-03 5.796E-03 1.748E-02 2.633E-03 5.204E+00
3 2.91 1.00 1.051E-03 4.065E-02 2.495E-03 3.995E-03 1.581E-02 3.176E-03 5.003E+00
5 5.82 2.00 7.834E-04 3.254E-02 1.414E-03 2.308E-03 8.453E-03 4.800E-03 3.976E+00
7 8.74 3.00 8.247E-04 2.317E-02 7.875E-04 1.264E-03 3.992E-03 1.025E-02 2.898E+00
9 11.65 4.00 1.142E-03 1.528E-02 4.860E-04 7.249E-04 1.858E-03 2.855E-02 2.563E+00
12 14.56 5.00 1.772E-03 9.554E-03 1.211E-03 1.272E-03 1.531E-03 8.767E-02 3.142E+00
Waveband 27 of 30 completed in 1.5 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 0.0626 0.5048
3 2.906 1.000 0.4480 0.0568 0.0242 0.0626 0.5048
5 5.813 2.000 0.4480 0.0568 0.0242 0.0626 0.5048
7 8.719 3.000 0.4480 0.0568 0.0242 0.0626 0.5048
9 11.626 4.000 0.4480 0.0568 0.0242 0.0626 0.5048
12 14.532 5.000 0.4480 0.0568 0.0242 0.0626 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 0.01200 0.00000 0.00000 0.01240
3 2.906 1.000 0.00040 0.01200 0.00000 0.00000 0.01240
5 5.813 2.000 0.00040 0.01200 0.00000 0.00000 0.01240
7 8.719 3.000 0.00040 0.01200 0.00000 0.00000 0.01240
9 11.626 4.000 0.00040 0.01200 0.00000 0.00000 0.01240
12 14.532 5.000 0.00040 0.01200 0.00000 0.00000 0.01240
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 0.01240 0.00516
3 2.906 1.000 0.5048 2.4016 2.9064 0.8263 0.01240 0.00516
5 5.813 2.000 0.5048 2.4016 2.9064 0.8263 0.01240 0.00516
7 8.719 3.000 0.5048 2.4016 2.9064 0.8263 0.01240 0.00516
9 11.626 4.000 0.5048 2.4016 2.9064 0.8263 0.01240 0.00516
12 14.532 5.000 0.5048 2.4016 2.9064 0.8263 0.01240 0.00516
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 2.0353E-01 1.5121E+00 1.7156E+00 5.6530E-02 6.9499E-01 0.2778 0.4596 0.3722 8.1340E-02
1 0.00 0.00 2.5707E-02 8.5843E-01 8.8414E-01 9.7197E-03 6.4817E-01 0.3781 0.7551 0.7221 1.4996E-02
3 2.91 1.00 1.5439E-02 4.4421E-01 4.5965E-01 5.6151E-03 3.1845E-01 0.3637 0.7169 0.6806 1.7633E-02
5 5.81 2.00 8.5545E-03 2.1599E-01 2.2455E-01 3.2576E-03 1.5322E-01 0.3808 0.7094 0.6678 2.1262E-02
7 8.72 3.00 5.3037E-03 1.0344E-01 1.0874E-01 2.3278E-03 7.3799E-02 0.4389 0.7135 0.6573 3.1542E-02
9 11.63 4.00 4.7975E-03 4.9852E-02 5.4650E-02 2.5524E-03 3.5948E-02 0.5320 0.7211 0.6111 7.1003E-02
12 14.53 5.00 9.0531E-03 2.4720E-02 3.3774E-02 4.5266E-03 1.7846E-02 0.5000 0.7219 0.3944 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 0.40379 0.60026 0.59455 0.48902 0.68691 0.68992 0.54093
1.000 1.010 1.005 0.58601 0.70193 0.69804 0.57841 0.72647 0.72913 0.47567
2.000 2.010 2.005 0.56864 0.73353 0.72724 0.47885 0.73339 0.73893 0.23183
3.000 3.010 3.005 0.33882 0.73567 0.71628 0.14740 0.72596 0.74486 -0.10919
4.000 4.010 4.005 -0.19502 0.72178 0.64096 -0.34207 0.71157 0.79256 -0.35089
4.990 5.000 4.995 -1.99271 0.62706 -0.06847 -0.88412 0.68033 1.20650 -0.43895
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 1.05816E-03 4.84426E-04 1.54258E-03 1.52255E-03 0.021894
9 1 10.0 0.0 180.0 1.90856E-02 1.06637E-03 4.09775E-04 1.47614E-03 1.53437E-03 0.021470
9 4 10.0 45.0 135.0 1.97752E-02 1.06301E-03 4.28393E-04 1.49140E-03 1.52953E-03 0.021663
9 7 10.0 90.0 90.0 2.21349E-02 1.06609E-03 4.81774E-04 1.54786E-03 1.53396E-03 0.021765
8 1 20.0 0.0 180.0 1.83277E-02 1.07763E-03 3.98347E-04 1.47597E-03 1.55057E-03 0.021735
8 4 20.0 45.0 135.0 1.90687E-02 1.06888E-03 4.13501E-04 1.48238E-03 1.53797E-03 0.021685
8 7 20.0 90.0 90.0 2.24612E-02 1.07992E-03 4.90952E-04 1.57088E-03 1.55387E-03 0.021858
7 1 30.0 0.0 180.0 1.89426E-02 1.10012E-03 4.31748E-04 1.53187E-03 1.58293E-03 0.022792
7 4 30.0 45.0 135.0 1.94216E-02 1.09712E-03 4.42384E-04 1.53950E-03 1.57861E-03 0.022778
7 7 30.0 90.0 90.0 2.32080E-02 1.11080E-03 5.28533E-04 1.63934E-03 1.59830E-03 0.022774
6 1 40.0 0.0 180.0 2.12272E-02 1.12068E-03 5.64568E-04 1.68525E-03 1.61252E-03 0.026596
6 4 40.0 45.0 135.0 2.10950E-02 1.11509E-03 5.59987E-04 1.67507E-03 1.60447E-03 0.026546
6 7 40.0 90.0 90.0 2.46848E-02 1.13421E-03 6.51129E-04 1.78534E-03 1.63199E-03 0.026378
5 1 50.0 0.0 180.0 2.58729E-02 1.15209E-03 9.65609E-04 2.11770E-03 1.65771E-03 0.037321
5 4 50.0 45.0 135.0 2.46581E-02 1.13992E-03 9.18496E-04 2.05841E-03 1.64019E-03 0.037249
5 7 50.0 90.0 90.0 2.74146E-02 1.17675E-03 1.01012E-03 2.18687E-03 1.69319E-03 0.036846
4 1 60.0 0.0 180.0 3.44150E-02 1.15587E-03 2.36228E-03 3.51815E-03 1.66315E-03 0.068641
4 4 60.0 45.0 135.0 3.13987E-02 1.13954E-03 2.13717E-03 3.27671E-03 1.63964E-03 0.068066
4 7 60.0 90.0 90.0 3.23482E-02 1.19717E-03 2.16268E-03 3.35985E-03 1.72257E-03 0.066856
3 1 70.0 0.0 180.0 5.06793E-02 1.08553E-03 8.05471E-03 9.14024E-03 1.56194E-03 0.158935
3 4 70.0 45.0 135.0 4.44660E-02 1.08356E-03 6.98199E-03 8.06556E-03 1.55911E-03 0.157019
3 7 70.0 90.0 90.0 4.22162E-02 1.14787E-03 6.50541E-03 7.65328E-03 1.65164E-03 0.154097
2 1 80.0 0.0 180.0 8.64383E-02 8.97097E-04 2.80729E-02 2.89700E-02 1.29081E-03 0.324774
2 4 80.0 45.0 135.0 7.36976E-02 8.83981E-04 2.41906E-02 2.50746E-02 1.27193E-03 0.328241
2 7 80.0 90.0 90.0 6.43228E-02 9.60341E-04 2.14664E-02 2.24268E-02 1.38181E-03 0.333730
1 1 87.5 0.0 180.0 1.36132E-01 6.69819E-04 5.92268E-02 5.98966E-02 9.63783E-04 0.435070
1 4 87.5 45.0 135.0 1.14459E-01 6.43650E-04 5.26589E-02 5.33025E-02 9.26129E-04 0.460068
1 7 87.5 90.0 90.0 9.44366E-02 7.03731E-04 4.61253E-02 4.68291E-02 1.01258E-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 1.543E-03 2.213E-02 9.801E-02 7.063E-02 3.277E-01 2.220E-03 3.665E+01 1.058E-03 1.523E-03
1 0.00 0.00 1.956E-03 3.972E-02 4.515E-03 6.115E-03 1.717E-02 3.018E-03 4.969E+00
3 2.91 1.00 1.161E-03 3.881E-02 2.686E-03 4.053E-03 1.489E-02 3.647E-03 4.835E+00
5 5.81 2.00 8.033E-04 3.051E-02 1.524E-03 2.312E-03 7.761E-03 5.243E-03 4.055E+00
7 8.72 3.00 7.545E-04 2.130E-02 8.581E-04 1.265E-03 3.611E-03 1.022E-02 3.085E+00
9 11.63 4.00 9.610E-04 1.378E-02 5.273E-04 7.255E-04 1.672E-03 2.673E-02 2.656E+00
12 14.53 5.00 1.441E-03 8.468E-03 1.020E-03 1.070E-03 1.281E-03 8.074E-02 3.142E+00
Waveband 28 of 30 completed in 1.9 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 0.0483 0.5320
3 2.918 1.000 0.4860 0.0460 0.0190 0.0483 0.5320
5 5.835 2.000 0.4860 0.0460 0.0190 0.0483 0.5320
7 8.753 3.000 0.4860 0.0460 0.0190 0.0483 0.5320
9 11.671 4.000 0.4860 0.0460 0.0190 0.0483 0.5320
12 14.589 5.000 0.4860 0.0460 0.0190 0.0483 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 0.01193 0.00000 0.00000 0.01230
3 2.918 1.000 0.00037 0.01193 0.00000 0.00000 0.01230
5 5.835 2.000 0.00037 0.01193 0.00000 0.00000 0.01230
7 8.753 3.000 0.00037 0.01193 0.00000 0.00000 0.01230
9 11.671 4.000 0.00037 0.01193 0.00000 0.00000 0.01230
12 14.589 5.000 0.00037 0.01193 0.00000 0.00000 0.01230
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 0.01230 0.00515
3 2.918 1.000 0.5320 2.3857 2.9177 0.8177 0.01230 0.00515
5 5.835 2.000 0.5320 2.3857 2.9177 0.8177 0.01230 0.00515
7 8.753 3.000 0.5320 2.3857 2.9177 0.8177 0.01230 0.00515
9 11.671 4.000 0.5320 2.3857 2.9177 0.8177 0.01230 0.00515
12 14.589 5.000 0.5320 2.3857 2.9177 0.8177 0.01230 0.00515
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 1.8347E-01 1.3650E+00 1.5485E+00 5.1367E-02 6.2829E-01 0.2800 0.4603 0.3726 8.1757E-02
1 0.00 0.00 2.4535E-02 7.7725E-01 8.0178E-01 9.4661E-03 5.8638E-01 0.3858 0.7544 0.7195 1.6143E-02
3 2.92 1.00 1.4446E-02 3.8869E-01 4.0314E-01 5.4084E-03 2.7865E-01 0.3744 0.7169 0.6778 1.9410E-02
5 5.84 2.00 7.9529E-03 1.8294E-01 1.9089E-01 3.1160E-03 1.2984E-01 0.3918 0.7097 0.6638 2.3999E-02
7 8.75 3.00 4.8919E-03 8.5074E-02 8.9966E-02 2.1722E-03 6.0712E-02 0.4440 0.7136 0.6507 3.5779E-02
9 11.67 4.00 4.2895E-03 3.9995E-02 4.4285E-02 2.2685E-03 2.8807E-02 0.5288 0.7203 0.5993 7.8747E-02
12 14.59 5.00 7.7956E-03 1.9484E-02 2.7279E-02 3.8978E-03 1.3999E-02 0.5000 0.7185 0.3703 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 0.43751 0.63443 0.62840 0.50873 0.72008 0.72355 0.54907
1.000 1.010 1.005 0.59816 0.73566 0.73073 0.58552 0.75941 0.76286 0.49391
2.000 2.010 2.005 0.57237 0.76460 0.75659 0.49056 0.76431 0.77106 0.27894
3.000 3.010 3.005 0.35517 0.76296 0.74075 0.18749 0.75403 0.77511 -0.05047
4.000 4.010 4.005 -0.15414 0.74399 0.65665 -0.29521 0.73586 0.82449 -0.31919
4.990 5.000 4.995 -1.98306 0.63624 -0.10530 -0.87691 0.69771 1.29873 -0.43373
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 1.07313E-03 4.29962E-04 1.50309E-03 1.70801E-03 0.021894
9 1 10.0 0.0 180.0 1.69398E-02 1.08264E-03 3.63704E-04 1.44634E-03 1.72315E-03 0.021470
9 4 10.0 45.0 135.0 1.75518E-02 1.07911E-03 3.80228E-04 1.45933E-03 1.71753E-03 0.021663
9 7 10.0 90.0 90.0 1.96462E-02 1.08104E-03 4.27608E-04 1.50865E-03 1.72060E-03 0.021765
8 1 20.0 0.0 180.0 1.62671E-02 1.09404E-03 3.53561E-04 1.44760E-03 1.74130E-03 0.021735
8 4 20.0 45.0 135.0 1.69248E-02 1.08523E-03 3.67011E-04 1.45224E-03 1.72728E-03 0.021685
8 7 20.0 90.0 90.0 1.99359E-02 1.09448E-03 4.35754E-04 1.53023E-03 1.74199E-03 0.021858
7 1 30.0 0.0 180.0 1.68129E-02 1.11659E-03 3.83206E-04 1.49980E-03 1.77719E-03 0.022792
7 4 30.0 45.0 135.0 1.72380E-02 1.11388E-03 3.92647E-04 1.50653E-03 1.77287E-03 0.022778
7 7 30.0 90.0 90.0 2.05987E-02 1.12488E-03 4.69110E-04 1.59399E-03 1.79038E-03 0.022774
6 1 40.0 0.0 180.0 1.88406E-02 1.13656E-03 5.01093E-04 1.63765E-03 1.80897E-03 0.026596
6 4 40.0 45.0 135.0 1.87232E-02 1.13160E-03 4.97027E-04 1.62863E-03 1.80108E-03 0.026546
6 7 40.0 90.0 90.0 2.19095E-02 1.14604E-03 5.77921E-04 1.72396E-03 1.82406E-03 0.026378
5 1 50.0 0.0 180.0 2.29640E-02 1.16742E-03 8.57045E-04 2.02447E-03 1.85809E-03 0.037321
5 4 50.0 45.0 135.0 2.18857E-02 1.15588E-03 8.15229E-04 1.97111E-03 1.83972E-03 0.037249
5 7 50.0 90.0 90.0 2.43323E-02 1.18579E-03 8.96546E-04 2.08233E-03 1.88732E-03 0.036846
4 1 60.0 0.0 180.0 3.05457E-02 1.17011E-03 2.09669E-03 3.26680E-03 1.86236E-03 0.068641
4 4 60.0 45.0 135.0 2.78688E-02 1.15439E-03 1.89689E-03 3.05128E-03 1.83735E-03 0.068065
4 7 60.0 90.0 90.0 2.87095E-02 1.20267E-03 1.91951E-03 3.12218E-03 1.91420E-03 0.066860
3 1 70.0 0.0 180.0 4.49814E-02 1.09745E-03 7.14910E-03 8.24655E-03 1.74672E-03 0.158935
3 4 70.0 45.0 135.0 3.94666E-02 1.09596E-03 6.19700E-03 7.29296E-03 1.74434E-03 0.157019
3 7 70.0 90.0 90.0 3.74698E-02 1.14827E-03 5.77397E-03 6.92224E-03 1.82761E-03 0.154096
2 1 80.0 0.0 180.0 7.67199E-02 9.05737E-04 2.49167E-02 2.58224E-02 1.44159E-03 0.324774
2 4 80.0 45.0 135.0 6.54117E-02 8.92650E-04 2.14708E-02 2.23635E-02 1.42076E-03 0.328241
2 7 80.0 90.0 90.0 5.70910E-02 9.56772E-04 1.90529E-02 2.00097E-02 1.52282E-03 0.333729
1 1 87.5 0.0 180.0 1.20826E-01 6.75663E-04 5.25679E-02 5.32436E-02 1.07540E-03 0.435070
1 4 87.5 45.0 135.0 1.01590E-01 6.49251E-04 4.67384E-02 4.73877E-02 1.03336E-03 0.460068
1 7 87.5 90.0 90.0 8.38190E-02 6.99467E-04 4.09394E-02 4.16389E-02 1.11329E-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 1.503E-03 1.964E-02 8.703E-02 6.273E-02 2.922E-01 2.392E-03 3.417E+01 1.073E-03 1.708E-03
1 0.00 0.00 1.984E-03 3.526E-02 4.451E-03 5.827E-03 1.538E-02 3.383E-03 4.772E+00
3 2.92 1.00 1.166E-03 3.384E-02 2.585E-03 3.714E-03 1.272E-02 4.183E-03 4.640E+00
5 5.84 2.00 7.814E-04 2.597E-02 1.461E-03 2.085E-03 6.422E-03 6.018E-03 3.988E+00
7 8.75 3.00 6.936E-04 1.768E-02 8.283E-04 1.138E-03 2.932E-03 1.142E-02 3.132E+00
9 11.67 4.00 8.425E-04 1.116E-02 5.127E-04 6.582E-04 1.355E-03 2.925E-02 2.693E+00
12 14.59 5.00 1.241E-03 6.700E-03 8.944E-04 9.295E-04 1.080E-03 8.863E-02 3.142E+00
Waveband 29 of 30 completed in 1.6 sec.
* * * * * Output for wavelength band 30 (690.0 to 700.0 nm; nominal wavelength = 695.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
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 0.0301 0.5897
3 2.959 1.000 0.5590 0.0307 0.0137 0.0301 0.5897
5 5.919 2.000 0.5590 0.0307 0.0137 0.0301 0.5897
7 8.878 3.000 0.5590 0.0307 0.0137 0.0301 0.5897
9 11.837 4.000 0.5590 0.0307 0.0137 0.0301 0.5897
12 14.797 5.000 0.5590 0.0307 0.0137 0.0301 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 0.01184 0.00000 0.00000 0.01219
3 2.959 1.000 0.00035 0.01184 0.00000 0.00000 0.01219
5 5.919 2.000 0.00035 0.01184 0.00000 0.00000 0.01219
7 8.878 3.000 0.00035 0.01184 0.00000 0.00000 0.01219
9 11.837 4.000 0.00035 0.01184 0.00000 0.00000 0.01219
12 14.797 5.000 0.00035 0.01184 0.00000 0.00000 0.01219
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 0.01219 0.00515
3 2.959 1.000 0.5897 2.3697 2.9594 0.8007 0.01219 0.00515
5 5.919 2.000 0.5897 2.3697 2.9594 0.8007 0.01219 0.00515
7 8.878 3.000 0.5897 2.3697 2.9594 0.8007 0.01219 0.00515
9 11.837 4.000 0.5897 2.3697 2.9594 0.8007 0.01219 0.00515
12 14.797 5.000 0.5897 2.3697 2.9594 0.8007 0.01219 0.00515
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 1.7387E-01 1.3107E+00 1.4845E+00 4.8571E-02 6.0415E-01 0.2794 0.4609 0.3742 8.0397E-02
1 0.00 0.00 1.9492E-02 7.4423E-01 7.6373E-01 7.3838E-03 5.6295E-01 0.3788 0.7564 0.7274 1.3116E-02
3 2.96 1.00 1.0665E-02 3.4330E-01 3.5397E-01 3.9217E-03 2.4745E-01 0.3677 0.7208 0.6880 1.5848E-02
5 5.92 2.00 5.4671E-03 1.4911E-01 1.5458E-01 2.1235E-03 1.0672E-01 0.3884 0.7157 0.6767 1.9898E-02
7 8.88 3.00 3.2466E-03 6.4189E-02 6.7435E-02 1.4669E-03 4.6299E-02 0.4518 0.7213 0.6648 3.1684E-02
9 11.84 4.00 3.0323E-03 2.8033E-02 3.1065E-02 1.6718E-03 2.0437E-02 0.5513 0.7290 0.6040 8.1806E-02
12 14.80 5.00 6.6446E-03 1.2789E-02 1.9434E-02 3.3223E-03 9.2757E-03 0.5000 0.7253 0.3063 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 0.48434 0.70904 0.70330 0.57261 0.79668 0.79966 0.62001
1.000 1.010 1.005 0.67503 0.81708 0.81280 0.65770 0.83757 0.84046 0.55048
2.000 2.010 2.005 0.63321 0.84353 0.83608 0.53548 0.84061 0.84682 0.28015
3.000 3.010 3.005 0.35202 0.83851 0.81503 0.14969 0.82770 0.84996 -0.12316
4.000 4.010 4.005 -0.27986 0.81561 0.70815 -0.42233 0.80663 0.91686 -0.41439
4.990 5.000 4.995 -2.43874 0.66633 -0.38451 -1.05983 0.75911 1.75995 -0.51635
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 8.14161E-04 4.05570E-04 1.21973E-03 1.34763E-03 0.021894
9 1 10.0 0.0 180.0 1.59788E-02 8.22246E-04 3.43071E-04 1.16532E-03 1.36101E-03 0.021470
9 4 10.0 45.0 135.0 1.65561E-02 8.19202E-04 3.58657E-04 1.17786E-03 1.35597E-03 0.021663
9 7 10.0 90.0 90.0 1.85317E-02 8.20251E-04 4.03350E-04 1.22360E-03 1.35771E-03 0.021765
8 1 20.0 0.0 180.0 1.53442E-02 8.31814E-04 3.33503E-04 1.16532E-03 1.37685E-03 0.021735
8 4 20.0 45.0 135.0 1.59647E-02 8.24372E-04 3.46190E-04 1.17056E-03 1.36453E-03 0.021685
8 7 20.0 90.0 90.0 1.88049E-02 8.30719E-04 4.11033E-04 1.24175E-03 1.37503E-03 0.021858
7 1 30.0 0.0 180.0 1.58591E-02 8.49901E-04 3.61467E-04 1.21137E-03 1.40678E-03 0.022792
7 4 30.0 45.0 135.0 1.62601E-02 8.46679E-04 3.70372E-04 1.21705E-03 1.40145E-03 0.022778
7 7 30.0 90.0 90.0 1.94302E-02 8.54187E-04 4.42497E-04 1.29668E-03 1.41388E-03 0.022774
6 1 40.0 0.0 180.0 1.77718E-02 8.66547E-04 4.72666E-04 1.33921E-03 1.43434E-03 0.026596
6 4 40.0 45.0 135.0 1.76611E-02 8.61020E-04 4.68830E-04 1.32985E-03 1.42519E-03 0.026546
6 7 40.0 90.0 90.0 2.06665E-02 8.71314E-04 5.45135E-04 1.41645E-03 1.44223E-03 0.026378
5 1 50.0 0.0 180.0 2.16612E-02 8.90945E-04 8.08424E-04 1.69937E-03 1.47472E-03 0.037321
5 4 50.0 45.0 135.0 2.06441E-02 8.80092E-04 7.68982E-04 1.64907E-03 1.45676E-03 0.037249
5 7 50.0 90.0 90.0 2.29520E-02 9.02823E-04 8.45677E-04 1.74850E-03 1.49438E-03 0.036846
4 1 60.0 0.0 180.0 2.88128E-02 8.93892E-04 1.97775E-03 2.87164E-03 1.47960E-03 0.068641
4 4 60.0 45.0 135.0 2.62881E-02 8.79600E-04 1.78928E-03 2.66888E-03 1.45594E-03 0.068064
4 7 60.0 90.0 90.0 2.70789E-02 9.17155E-04 1.81059E-03 2.72774E-03 1.51810E-03 0.066863
3 1 70.0 0.0 180.0 4.24296E-02 8.39020E-04 6.74352E-03 7.58254E-03 1.38877E-03 0.158935
3 4 70.0 45.0 135.0 3.72277E-02 8.35704E-04 5.84545E-03 6.68115E-03 1.38328E-03 0.157019
3 7 70.0 90.0 90.0 3.53441E-02 8.77643E-04 5.44637E-03 6.32402E-03 1.45270E-03 0.154096
2 1 80.0 0.0 180.0 7.23676E-02 6.92962E-04 2.35031E-02 2.41961E-02 1.14701E-03 0.324775
2 4 80.0 45.0 135.0 6.17009E-02 6.81191E-04 2.02528E-02 2.09340E-02 1.12753E-03 0.328241
2 7 80.0 90.0 90.0 5.38522E-02 7.32871E-04 1.79720E-02 1.87049E-02 1.21307E-03 0.333729
1 1 87.5 0.0 180.0 1.13972E-01 5.17157E-04 4.95857E-02 5.01029E-02 8.56015E-04 0.435070
1 4 87.5 45.0 135.0 9.58270E-02 4.95702E-04 4.40869E-02 4.45826E-02 8.20501E-04 0.460068
1 7 87.5 90.0 90.0 7.90640E-02 5.36489E-04 3.86169E-02 3.91534E-02 8.88014E-04 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 1.220E-03 1.852E-02 8.204E-02 5.911E-02 2.768E-01 2.019E-03 3.982E+01 8.142E-04 1.348E-03
1 0.00 0.00 1.505E-03 3.325E-02 3.475E-03 4.653E-03 1.309E-02 2.673E-03 4.906E+00
3 2.96 1.00 8.270E-04 3.005E-02 1.892E-03 2.798E-03 1.010E-02 3.342E-03 4.742E+00
5 5.92 2.00 5.364E-04 2.164E-02 9.957E-04 1.454E-03 4.660E-03 5.026E-03 3.959E+00
7 8.88 3.00 4.942E-04 1.383E-02 5.321E-04 7.416E-04 1.957E-03 1.067E-02 2.968E+00
9 11.84 4.00 6.561E-04 8.188E-03 3.182E-04 4.092E-04 8.443E-04 3.210E-02 2.548E+00
12 14.80 5.00 1.058E-03 4.613E-03 7.219E-04 7.425E-04 8.302E-04 1.140E-01 3.142E+00
Waveband 30 of 30 completed in 1.6 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 1.548E+01 1.645E+01 1.580E+01 1.630E+01 1.928E+01 2.068E+01 2.063E+01 2.098E+01 2.035E+01 2.070E+01 2.033E+01 1.959E+01 2.002E+01 2.023E+01 1.997E+01 1.981E+01 1.959E+01 1.956E+01 1.899E+01 1.807E+01 1.866E+01 1.828E+01 1.807E+01 1.790E+01 1.734E+01 1.658E+01 1.741E+01 1.716E+01 1.548E+01 1.485E+01
0.0 6.920E+00 7.458E+00 7.262E+00 7.608E+00 9.144E+00 9.970E+00 1.012E+01 1.045E+01 1.030E+01 1.066E+01 1.063E+01 1.036E+01 1.076E+01 1.104E+01 1.104E+01 1.104E+01 1.105E+01 1.102E+01 1.049E+01 9.673E+00 9.699E+00 9.507E+00 9.387E+00 9.285E+00 8.974E+00 8.532E+00 8.926E+00 8.841E+00 8.018E+00 7.637E+00
1.0 2.385E+00 2.901E+00 3.173E+00 3.721E+00 4.963E+00 5.910E+00 6.453E+00 7.028E+00 7.275E+00 7.842E+00 8.080E+00 7.999E+00 8.544E+00 8.951E+00 9.095E+00 9.154E+00 9.281E+00 9.230E+00 8.508E+00 7.318E+00 6.532E+00 6.350E+00 6.162E+00 5.964E+00 5.594E+00 4.976E+00 4.765E+00 4.597E+00 4.031E+00 3.540E+00
2.0 7.645E-01 1.046E+00 1.281E+00 1.679E+00 2.485E+00 3.235E+00 3.808E+00 4.384E+00 4.778E+00 5.383E+00 5.747E+00 5.795E+00 6.385E+00 6.854E+00 7.098E+00 7.207E+00 7.420E+00 7.362E+00 6.558E+00 5.234E+00 4.132E+00 3.985E+00 3.801E+00 3.600E+00 3.275E+00 2.723E+00 2.385E+00 2.245E+00 1.909E+00 1.546E+00
3.0 2.466E-01 3.769E-01 5.141E-01 7.498E-01 1.226E+00 1.741E+00 2.205E+00 2.681E+00 3.074E+00 3.618E+00 4.001E+00 4.112E+00 4.675E+00 5.145E+00 5.434E+00 5.572E+00 5.830E+00 5.776E+00 4.981E+00 3.697E+00 2.584E+00 2.472E+00 2.317E+00 2.147E+00 1.896E+00 1.473E+00 1.181E+00 1.087E+00 8.997E-01 6.744E-01
4.0 8.234E-02 1.404E-01 2.127E-01 3.444E-01 6.211E-01 9.604E-01 1.307E+00 1.675E+00 2.016E+00 2.474E+00 2.830E+00 2.965E+00 3.475E+00 3.918E+00 4.220E+00 4.373E+00 4.650E+00 4.608E+00 3.868E+00 2.695E+00 1.683E+00 1.597E+00 1.471E+00 1.334E+00 1.145E+00 8.312E-01 6.075E-01 5.465E-01 4.428E-01 3.107E-01
5.0 3.363E-02 6.351E-02 1.053E-01 1.864E-01 3.649E-01 6.058E-01 8.717E-01 1.165E+00 1.453E+00 1.838E+00 2.159E+00 2.306E+00 2.771E+00 3.187E+00 3.493E+00 3.668E+00 3.957E+00 3.942E+00 3.285E+00 2.233E+00 1.318E+00 1.241E+00 1.129E+00 1.008E+00 8.513E-01 5.878E-01 3.908E-01 3.377E-01 2.728E-01 1.943E-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 5.240E+01 5.707E+01 5.612E+01 5.925E+01 7.170E+01 7.863E+01 8.019E+01 8.331E+01 8.248E+01 8.564E+01 8.580E+01 8.432E+01 8.786E+01 9.047E+01 9.096E+01 9.190E+01 9.252E+01 9.398E+01 9.286E+01 8.984E+01 9.435E+01 9.396E+01 9.439E+01 9.501E+01 9.349E+01 9.075E+01 9.678E+01 9.679E+01 8.866E+01 8.623E+01
0.0 2.343E+01 2.587E+01 2.580E+01 2.766E+01 3.401E+01 3.791E+01 3.933E+01 4.149E+01 4.177E+01 4.410E+01 4.488E+01 4.458E+01 4.723E+01 4.936E+01 5.029E+01 5.119E+01 5.218E+01 5.298E+01 5.129E+01 4.810E+01 4.904E+01 4.887E+01 4.903E+01 4.928E+01 4.838E+01 4.671E+01 4.961E+01 4.988E+01 4.590E+01 4.436E+01
1.0 8.073E+00 1.006E+01 1.127E+01 1.353E+01 1.846E+01 2.247E+01 2.508E+01 2.790E+01 2.949E+01 3.244E+01 3.411E+01 3.443E+01 3.749E+01 4.002E+01 4.143E+01 4.246E+01 4.383E+01 4.436E+01 4.160E+01 3.639E+01 3.303E+01 3.264E+01 3.219E+01 3.166E+01 3.016E+01 2.724E+01 2.648E+01 2.593E+01 2.308E+01 2.056E+01
2.0 2.588E+00 3.628E+00 4.550E+00 6.105E+00 9.241E+00 1.230E+01 1.480E+01 1.740E+01 1.937E+01 2.227E+01 2.426E+01 2.494E+01 2.802E+01 3.065E+01 3.233E+01 3.343E+01 3.504E+01 3.538E+01 3.207E+01 2.603E+01 2.089E+01 2.048E+01 1.985E+01 1.910E+01 1.766E+01 1.491E+01 1.326E+01 1.267E+01 1.093E+01 8.979E+00
3.0 8.346E-01 1.307E+00 1.826E+00 2.726E+00 4.560E+00 6.620E+00 8.571E+00 1.064E+01 1.246E+01 1.497E+01 1.689E+01 1.770E+01 2.051E+01 2.300E+01 2.475E+01 2.585E+01 2.753E+01 2.776E+01 2.435E+01 1.838E+01 1.307E+01 1.271E+01 1.210E+01 1.140E+01 1.022E+01 8.066E+00 6.566E+00 6.135E+00 5.151E+00 3.917E+00
4.0 2.787E-01 4.869E-01 7.557E-01 1.252E+00 2.310E+00 3.652E+00 5.078E+00 6.649E+00 8.171E+00 1.023E+01 1.194E+01 1.276E+01 1.525E+01 1.752E+01 1.922E+01 2.029E+01 2.196E+01 2.214E+01 1.891E+01 1.340E+01 8.512E+00 8.209E+00 7.685E+00 7.081E+00 6.171E+00 4.550E+00 3.377E+00 3.083E+00 2.535E+00 1.805E+00
5.0 1.138E-01 2.203E-01 3.742E-01 6.777E-01 1.357E+00 2.304E+00 3.388E+00 4.624E+00 5.891E+00 7.605E+00 9.112E+00 9.925E+00 1.216E+01 1.425E+01 1.591E+01 1.701E+01 1.869E+01 1.895E+01 1.606E+01 1.111E+01 6.666E+00 6.379E+00 5.899E+00 5.352E+00 4.589E+00 3.218E+00 2.172E+00 1.905E+00 1.562E+00 1.129E+00
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 2.5377E+03 9.8728E+02
0.00 1.3145E+03 9.2675E+02
1.00 8.7788E+02 5.7063E+02
2.00 5.7314E+02 3.5634E+02
3.00 3.8058E+02 2.2787E+02
4.00 2.6527E+02 1.4946E+02
5.00 2.0860E+02 1.0067E+02
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 0.39456
1.000 1.010 1.005 0.42395
2.000 2.010 2.005 0.42280
3.000 3.010 3.005 0.39095
4.000 4.010 4.005 0.32157
4.990 5.000 4.995 0.02155
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, 0.358, 5.363E+03) (0.340, 0.445, 3.768E+02) (0.349, 0.476, 3.272E+02) (0.352, 0.470, 0.000E+00)
0.00 (0.333, 0.346, 5.208E+04) (0.340, 0.454, 2.444E+03) (0.349, 0.476, 6.050E+02)
1.00 (0.341, 0.386, 3.721E+04) (0.350, 0.487, 2.193E+03) (0.362, 0.506, 5.778E+02)
2.00 (0.347, 0.421, 2.625E+04) (0.361, 0.513, 1.996E+03) (0.373, 0.523, 5.893E+02)
3.00 (0.352, 0.451, 1.850E+04) (0.372, 0.526, 1.971E+03) (0.381, 0.526, 6.440E+02)
4.00 (0.355, 0.477, 1.312E+04) (0.381, 0.524, 2.185E+03) (0.386, 0.519, 7.410E+02)
5.00 (0.358, 0.499, 9.415E+03) (0.389, 0.509, 2.757E+03) (0.389, 0.509, 8.775E+02)
The Forel-Ule number of the nadir-viewing Rrs is FU = 10
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 = 2.9697 1/m and K = 0.3378 1/m
The final estimate for the Secchi depth is z_SD = 2.42 m
Run completed on 07/18/2013 at 17:02:25.1
Total (wall clock) run time = 44.8 sec