========================================================
| |
| HYDROLIGHT Version 5.1.0 (MAIN CODE) |
| Copyright (c) 2013 by Curtis D. Mobley |
| |
| This copy of HE5 is licensed solely to |
| U Maine Optics Summer Class 2013 |
| |
| S/N Maine-500-31Aug2013 |
| |
| THIS PROGRAM IS EXPERIMENTAL AND IS LICENSED "AS IS" |
| WITHOUT REPRESENTATION OF WARRANTY OF ANY KIND, |
| EITHER EXPRESS OR IMPLIED. THE ENTIRE RISK AS TO |
| THE QUALITY AND PERFORMANCE OF HYDROLIGHT IS WITH |
| THE USER. HYDROLIGHT IS NOT FAULT TOLERANT. |
| |
========================================================
RUN TITLE: R1 (07/17/2013 17:44)
Run started on 07/17/2013 at 17:44:09.8
The radiance distribution is computed on the following (Theta,Phi,Depth,Wavelength) grid:
I Theta Mu J Phi K zeta z L Lambda
(deg) (deg) (m) (nm)
1 87.500 0.0436 1 0.00 1 0.000 1 360.00
2 80.000 0.1730 2 15.00 2 0.010 2 380.00
3 70.000 0.3407 3 30.00 3 10.000 3 400.00
4 60.000 0.4981 4 45.00 4 10.010 4 420.00
5 50.000 0.6403 5 60.00 5 20.000 5 440.00
6 40.000 0.7631 6 75.00 6 20.010 6 460.00
7 30.000 0.8627 7 90.00 7 480.00
8 20.000 0.9361 8 105.00 8 500.00
9 10.000 0.9811 9 120.00 9 520.00
10 0.000 0.9981 10 135.00 10 540.00
11 150.00 11 560.00
12 165.00 12 580.00
13 180.00 13 600.00
14 195.00 14 620.00
15 210.00 15 640.00
16 225.00 16 660.00
17 240.00 17 680.00
18 255.00 18 700.00
19 270.00 19 720.00
20 285.00 20 740.00
21 300.00
22 315.00
23 330.00
24 345.00
***** BEGIN IOP MODEL SPECIFICATIONS *****
The IOP routine "abNewCase1" is being used:
Absorption and scattering coefficients for case 1 water (Morel et al. bio-optical models) are used.
component 1 is pure water
component 2 is small particles
component 3 is large particles
component 4 is CDOM
Pure water a and b values are obtained from the file:
..\data\H2OabDefaults.txt
(Linear interpolation is used to define values at all wavelengths)
The data file header records from ..\data\H2OabDefaults.txt are:
Default "pure water" absorption (a) and scattering (b) coefficients. Based on:
200-300 nm: R.C. Smith and K. Baker, 1981. Appl. Optics 20(2), 177-184.
191 records read
The phase function for component 1 comes from a file titled
pure sea water (Rayleigh-like phase function); standard quad partition; 7 Sept 98
The chlorophyll concentration is constant with depth with a value of 2.30 (mg/m^3)
The phase function for component 2 comes from a file titled
Morel Small Particle Case 1 phase function; (Jul 2004)
The chlorophyll values at the requested output depths are:
depth Chl
(m) (mg/m^3)
0.000 2.300
10.000 2.300
20.000 2.300
chlorophyll AE filename: ..\data\AE_midUVabs.txt
***** END IOP MODEL SPECIFICATIONS *****
***** BEGIN INELASTIC SCATTER AND INTERNAL SOURCE SPECIFICATIONS *****
Chlorophyll fluorescence is included in this run
Chl fluorescent quantum efficiency set to 0.020
CDOM fluorescence is included in this run
Raman scattering is included in this run
Raman scattering cross-section set to 2.40E-04 m-1
at reference wavelength 488.0 nm
***** END INELASTIC SCATTER AND INTERNAL SOURCE SPECIFICATIONS *****
***** BEGIN ATMOSPHERIC MODEL SPECIFICATIONS *****
Normalized sky radiances are computed using sky model "HCNRAD" (Harrison and Coombes Normalized RADiances)
The cloud fraction is cloud = 0.0 (0 for a clear sky to 1 for a heavy overcast)
The sun is placed in quad Q(r,s) = Q( 9, 1) centered at (theta, phi) = (10.000, 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 = 198
latitude = 60.0000 degrees (N is positive)
longitude = -68.0000 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 = 10.0 degrees
Pressure = 29.9 in. mercury
Day of year = 198
Air mass type = 1.0
Relative Humidity = 80.0 %
Precipitable water = 2.5 cm
24-hr wind speed = 5.0 m/sec
Current wind speed = 5.0 m/sec
Visibility = 15.0 km
Total ozone = 338.6 Dobson units
Irradiances are computed just above the sea surface
Aerosol optical thickness at 550 nm = 0.261
***** END ATMOSPHERIC MODEL SPECIFICATIONS *****
***** BEGIN AIR-WATER SURFACE SPECIFICATIONS *****
The air-water surface is for a wind speed of 5.0 m/s
Index of refraction is constant for all wavelengths with the value: 1.340
***** END AIR-WATER SURFACE SPECIFICATIONS *****
***** BEGIN BOTTOM BOUNDARY SPECIFICATIONS *****
The bottom boundary is an infinitely deep, homogeneous water body below depth 20.00 m
The actual depth at which the infinitely deep bottom boundary condition will be applied
will be determined dynamically from the IOPs to insure a good solution at the
requested output depths
***** END BOTTOM BOUNDARY SPECIFICATIONS *****
Initialization of Hydrolight Completed in 0.2 sec.
* * * * * Output for wavelength band 1 (350.0 to 370.0 nm; nominal wavelength = 360.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
The infinitely deep bottom boundary condition is applied at 43.1 m at 360.0 nm
RADTRANX clear-sky spectral irradiances averaged over the band from 350.0 nm to 370.0 nm:
Ed(diffuse) = 3.234E-01 Ed(direct) = 4.407E-01 Ed(total) = 7.641E-01
Absorption Coefficients of Individual Components at 360.0 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 0.0156 0.0699 0.0000 0.0541 0.1395
3 9.389 10.000 0.0156 0.0699 0.0000 0.0541 0.1395
5 18.777 20.000 0.0156 0.0699 0.0000 0.0541 0.1395
Scattering Coefficients of Individual Components at 360.0 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 0.0119 0.2757 0.5116 0.0000 0.7993
3 9.389 10.000 0.0119 0.2757 0.5116 0.0000 0.7993
5 18.777 20.000 0.0119 0.2757 0.5116 0.0000 0.7993
Backscattering Coefficients of Individual Components at 360.0 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 0.00597 0.00387 0.00090 0.00000 0.01074
3 9.389 10.000 0.00597 0.00387 0.00090 0.00000 0.01074
5 18.777 20.000 0.00597 0.00387 0.00090 0.00000 0.01074
Summary of Inherent Optical Properties at 360.0 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 0.1395 0.7993 0.9389 0.8514 0.01074 0.01343
3 9.389 10.000 0.1395 0.7993 0.9389 0.8514 0.01074 0.01343
5 18.777 20.000 0.1395 0.7993 0.9389 0.8514 0.01074 0.01343
The shape of the asymptotic radiance distribution is given by
u theta Linf(theta)
10 0.00 1.0000E+00
9 10.00 9.4449E-01
8 20.00 8.0948E-01
7 30.00 6.3219E-01
6 40.00 4.5479E-01
5 50.00 3.0601E-01
4 60.00 1.9639E-01
3 70.00 1.2304E-01
2 80.00 7.7538E-02
1 87.50 5.5089E-02
1 92.50 4.3150E-02
2 100.00 3.1984E-02
3 110.00 2.2999E-02
4 120.00 1.7589E-02
5 130.00 1.4359E-02
6 140.00 1.2422E-02
7 150.00 1.1263E-02
8 160.00 1.0589E-02
9 170.00 1.0236E-02
10 180.00 1.0113E-02
Asymptotic AOP values are
MUu(inf) = 0.3719
MUd(inf) = 0.7234
MU(inf) = 0.6509
R(inf) = 0.0365
Lu(inf)/Ed(inf) = 0.007530 (1/sr)
k(inf) = 0.2144 (1/m)
absorp(check) = 0.1395 = k(inf)*MU(inf)
Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 360.0 nm
iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed
in air 1.0283E-01 1.0481E+00 1.1510E+00 3.6359E-02 7.6409E-01 0.3536 0.7290 0.6323 4.7585E-02
1 0.00 0.00 4.7452E-02 8.3091E-01 8.7836E-01 2.0861E-02 7.4859E-01 0.4396 0.9009 0.8285 2.7867E-02
3 9.39 10.00 1.0078E-02 1.4914E-01 1.5922E-01 3.8868E-03 1.1396E-01 0.3857 0.7642 0.6914 3.4106E-02
5 18.78 20.00 1.3694E-03 1.9545E-02 2.0914E-02 5.1384E-04 1.4329E-02 0.3752 0.7331 0.6606 3.5861E-02
K-functions (units of 1/meter) at 360.0 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 0.11398 0.14022 0.13881 0.12569 0.16726 0.16845 0.16194
10.000 10.010 10.005 0.18741 0.19402 0.19360 0.19243 0.20152 0.20185 0.20025
20.000 20.010 20.005 0.20758 0.20925 0.20914 0.20885 0.21117 0.21126 0.21084
Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 360.0 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 3.42429E-01 2.93246E-03 2.47358E-02 2.76683E-02 3.83785E-03 0.072236
9 1 10.0 0.0 180.0 1.50130E-01 2.98312E-03 1.14362E-02 1.44193E-02 3.90415E-03 0.076175
9 4 10.0 45.0 135.0 1.67774E-01 2.96862E-03 1.30243E-02 1.59929E-02 3.88517E-03 0.077630
9 7 10.0 90.0 90.0 2.34557E-01 2.95646E-03 1.90789E-02 2.20353E-02 3.86925E-03 0.081340
8 1 20.0 0.0 180.0 8.97504E-02 3.00907E-03 4.31418E-03 7.32325E-03 3.93811E-03 0.048069
8 4 20.0 45.0 135.0 1.00151E-01 2.97707E-03 5.35210E-03 8.32916E-03 3.89623E-03 0.053440
8 7 20.0 90.0 90.0 1.40745E-01 2.96410E-03 9.88285E-03 1.28470E-02 3.87926E-03 0.070218
7 1 30.0 0.0 180.0 6.32376E-02 3.04916E-03 1.90686E-03 4.95602E-03 3.99057E-03 0.030154
7 4 30.0 45.0 135.0 6.90588E-02 3.04288E-03 2.27588E-03 5.31875E-03 3.98236E-03 0.032956
7 7 30.0 90.0 90.0 9.07809E-02 3.01122E-03 4.01883E-03 7.03005E-03 3.94093E-03 0.044269
6 1 40.0 0.0 180.0 5.19476E-02 3.07514E-03 1.50758E-03 4.58272E-03 4.02458E-03 0.029021
6 4 40.0 45.0 135.0 5.56194E-02 3.06465E-03 1.63996E-03 4.70461E-03 4.01085E-03 0.029485
6 7 40.0 90.0 90.0 6.82775E-02 3.03157E-03 2.22007E-03 5.25164E-03 3.96756E-03 0.032515
5 1 50.0 0.0 180.0 4.81152E-02 3.12196E-03 1.94314E-03 5.06510E-03 4.08585E-03 0.040385
5 4 50.0 45.0 135.0 5.08181E-02 3.09402E-03 2.05178E-03 5.14580E-03 4.04929E-03 0.040375
5 7 50.0 90.0 90.0 5.95007E-02 3.05974E-03 2.42608E-03 5.48581E-03 4.00442E-03 0.040774
4 1 60.0 0.0 180.0 4.99064E-02 3.08619E-03 3.83048E-03 6.91668E-03 4.03904E-03 0.076753
4 4 60.0 45.0 135.0 5.20644E-02 3.05335E-03 3.94931E-03 7.00266E-03 3.99606E-03 0.075854
4 7 60.0 90.0 90.0 5.89060E-02 3.05027E-03 4.42675E-03 7.47702E-03 3.99203E-03 0.075150
3 1 70.0 0.0 180.0 5.98520E-02 2.87763E-03 9.57785E-03 1.24555E-02 3.76609E-03 0.160025
3 4 70.0 45.0 135.0 6.14339E-02 2.87561E-03 9.80604E-03 1.26817E-02 3.76345E-03 0.159619
3 7 70.0 90.0 90.0 6.69990E-02 2.86367E-03 1.06672E-02 1.35309E-02 3.74782E-03 0.159215
2 1 80.0 0.0 180.0 8.92539E-02 2.47673E-03 2.27528E-02 2.52295E-02 3.24141E-03 0.254922
2 4 80.0 45.0 135.0 8.96845E-02 2.46673E-03 2.36153E-02 2.60820E-02 3.22832E-03 0.263315
2 7 80.0 90.0 90.0 9.32483E-02 2.44920E-03 2.52827E-02 2.77319E-02 3.20538E-03 0.271133
1 1 87.5 0.0 180.0 1.34553E-01 2.00511E-03 3.96458E-02 4.16510E-02 2.62418E-03 0.294649
1 4 87.5 45.0 135.0 1.32941E-01 1.89917E-03 4.23108E-02 4.42100E-02 2.48553E-03 0.318267
1 7 87.5 90.0 90.0 1.32694E-01 2.07822E-03 4.45981E-02 4.66763E-02 2.71987E-03 0.336097
Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 360.0 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 2.767E-02 3.424E-01 8.810E-02 8.969E-02 9.598E-02 3.621E-02 1.314E+00 2.932E-03 3.838E-03
1 0.00 0.00 5.441E-03 2.711E+00 1.053E-02 1.121E-02 1.210E-02 7.269E-03 3.834E+00
3 9.39 10.00 8.502E-04 1.334E-01 2.969E-03 3.400E-03 4.066E-03 7.460E-03 4.572E+00
5 18.78 20.00 1.076E-04 1.183E-02 4.571E-04 4.983E-04 5.504E-04 7.513E-03 4.773E+00
Waveband 1 of 20 completed in 5.5 sec.
* * * * * Output for wavelength band 2 (370.0 to 390.0 nm; nominal wavelength = 380.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
The infinitely deep bottom boundary condition is applied at 43.1 m at 380.0 nm
RADTRANX clear-sky spectral irradiances averaged over the band from 370.0 nm to 390.0 nm:
Ed(diffuse) = 2.974E-01 Ed(direct) = 4.791E-01 Ed(total) = 7.766E-01
Absorption Coefficients of Individual Components at 380.0 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 0.0736 0.0000 0.0409 0.1259
3 9.227 10.000 0.0114 0.0736 0.0000 0.0409 0.1259
5 18.454 20.000 0.0114 0.0736 0.0000 0.0409 0.1259
Scattering Coefficients of Individual Components at 380.0 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 0.0095 0.2757 0.5116 0.0000 0.7968
3 9.227 10.000 0.0095 0.2757 0.5116 0.0000 0.7968
5 18.454 20.000 0.0095 0.2757 0.5116 0.0000 0.7968
Backscattering Coefficients of Individual Components at 380.0 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 0.00473 0.00387 0.00090 0.00000 0.00949
3 9.227 10.000 0.00473 0.00387 0.00090 0.00000 0.00949
5 18.454 20.000 0.00473 0.00387 0.00090 0.00000 0.00949
Summary of Inherent Optical Properties at 380.0 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 0.1259 0.7968 0.9227 0.8636 0.00949 0.01191
3 9.227 10.000 0.1259 0.7968 0.9227 0.8636 0.00949 0.01191
5 18.454 20.000 0.1259 0.7968 0.9227 0.8636 0.00949 0.01191
The shape of the asymptotic radiance distribution is given by
u theta Linf(theta)
10 0.00 1.0000E+00
9 10.00 9.4739E-01
8 20.00 8.1864E-01
7 30.00 6.4752E-01
6 40.00 4.7336E-01
5 50.00 3.2424E-01
4 60.00 2.1180E-01
3 70.00 1.3475E-01
2 80.00 8.5836E-02
1 87.50 6.1213E-02
1 92.50 4.7912E-02
2 100.00 3.5372E-02
3 110.00 2.5189E-02
4 120.00 1.8995E-02
5 130.00 1.5269E-02
6 140.00 1.3022E-02
7 150.00 1.1670E-02
8 160.00 1.0880E-02
9 170.00 1.0467E-02
10 180.00 1.0323E-02
Asymptotic AOP values are
MUu(inf) = 0.3655
MUd(inf) = 0.7163
MU(inf) = 0.6419
R(inf) = 0.0377
Lu(inf)/Ed(inf) = 0.007443 (1/sr)
k(inf) = 0.1961 (1/m)
absorp(check) = 0.1259 = k(inf)*MU(inf)
The CDOM absorption at each wavelength is constant with depth with a value of 0.00 (1/m)
Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 380.0 nm
iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed
in air 9.7881E-02 1.0393E+00 1.1371E+00 3.5813E-02 7.7657E-01 0.3659 0.7472 0.6514 4.6118E-02
1 0.00 0.00 4.8386E-02 8.4163E-01 8.9001E-01 2.1182E-02 7.6194E-01 0.4378 0.9053 0.8323 2.7800E-02
3 9.23 10.00 1.2776E-02 1.8317E-01 1.9594E-01 4.8643E-03 1.3946E-01 0.3808 0.7614 0.6869 3.4879E-02
5 18.45 20.00 2.1143E-03 2.9025E-02 3.1140E-02 7.8074E-04 2.1110E-02 0.3693 0.7273 0.6528 3.6985E-02
K-functions (units of 1/meter) at 380.0 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 0.09468 0.12354 0.12197 0.10593 0.15000 0.15126 0.14347
10.000 10.010 10.005 0.16678 0.17467 0.17415 0.17232 0.18287 0.18325 0.18120
20.000 20.010 20.005 0.18854 0.19056 0.19042 0.18997 0.19272 0.19282 0.19228
Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 380.0 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 3.14980E-01 2.92061E-03 2.61134E-02 2.90340E-02 3.76092E-03 0.082905
9 1 10.0 0.0 180.0 1.38096E-01 2.96908E-03 1.18814E-02 1.48505E-02 3.82334E-03 0.086038
9 4 10.0 45.0 135.0 1.54330E-01 2.95581E-03 1.35699E-02 1.65257E-02 3.80625E-03 0.087927
9 7 10.0 90.0 90.0 2.15725E-01 2.94668E-03 2.00416E-02 2.29883E-02 3.79450E-03 0.092904
8 1 20.0 0.0 180.0 8.25562E-02 2.99694E-03 4.31371E-03 7.31064E-03 3.85921E-03 0.052252
8 4 20.0 45.0 135.0 9.21233E-02 2.96703E-03 5.40220E-03 8.36923E-03 3.82070E-03 0.058641
8 7 20.0 90.0 90.0 1.29463E-01 2.95915E-03 1.02040E-02 1.31631E-02 3.81055E-03 0.078818
7 1 30.0 0.0 180.0 5.81685E-02 3.04051E-03 1.79761E-03 4.83812E-03 3.91533E-03 0.030903
7 4 30.0 45.0 135.0 6.35231E-02 3.03709E-03 2.17091E-03 5.20799E-03 3.91092E-03 0.034175
7 7 30.0 90.0 90.0 8.35041E-02 3.01270E-03 3.96799E-03 6.98069E-03 3.87951E-03 0.047519
6 1 40.0 0.0 180.0 4.77836E-02 3.07388E-03 1.38896E-03 4.46284E-03 3.95829E-03 0.029068
6 4 40.0 45.0 135.0 5.11611E-02 3.06732E-03 1.51352E-03 4.58084E-03 3.94984E-03 0.029583
6 7 40.0 90.0 90.0 6.28045E-02 3.04428E-03 2.07307E-03 5.11735E-03 3.92017E-03 0.033008
5 1 50.0 0.0 180.0 4.42584E-02 3.12848E-03 1.78766E-03 4.91614E-03 4.02860E-03 0.040392
5 4 50.0 45.0 135.0 4.67446E-02 3.10533E-03 1.88731E-03 4.99265E-03 3.99879E-03 0.040375
5 7 50.0 90.0 90.0 5.47312E-02 3.08347E-03 2.23302E-03 5.31649E-03 3.97064E-03 0.040800
4 1 60.0 0.0 180.0 4.59060E-02 3.10053E-03 3.52344E-03 6.62397E-03 3.99261E-03 0.076753
4 4 60.0 45.0 135.0 4.78910E-02 3.07314E-03 3.63274E-03 6.70588E-03 3.95734E-03 0.075854
4 7 60.0 90.0 90.0 5.41841E-02 3.08477E-03 4.07191E-03 7.15668E-03 3.97231E-03 0.075150
3 1 70.0 0.0 180.0 5.50544E-02 2.89870E-03 8.81010E-03 1.17088E-02 3.73271E-03 0.160025
3 4 70.0 45.0 135.0 5.65095E-02 2.90265E-03 9.02000E-03 1.19227E-02 3.73780E-03 0.159619
3 7 70.0 90.0 90.0 6.16285E-02 2.90651E-03 9.81217E-03 1.27187E-02 3.74277E-03 0.159215
2 1 80.0 0.0 180.0 8.20994E-02 2.50052E-03 2.09290E-02 2.34295E-02 3.21996E-03 0.254922
2 4 80.0 45.0 135.0 8.24955E-02 2.49616E-03 2.17223E-02 2.42185E-02 3.21435E-03 0.263315
2 7 80.0 90.0 90.0 8.57737E-02 2.49330E-03 2.32560E-02 2.57493E-02 3.21067E-03 0.271133
1 1 87.5 0.0 180.0 1.23767E-01 2.02815E-03 3.64679E-02 3.84960E-02 2.61168E-03 0.294649
1 4 87.5 45.0 135.0 1.22285E-01 1.92565E-03 3.89193E-02 4.08449E-02 2.47970E-03 0.318267
1 7 87.5 90.0 90.0 1.22058E-01 2.12084E-03 4.10232E-02 4.31440E-02 2.73104E-03 0.336097
Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 380.0 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 2.903E-02 3.150E-01 8.113E-02 8.260E-02 8.840E-02 3.739E-02 1.233E+00 2.921E-03 3.761E-03
1 0.00 0.00 5.419E-03 2.851E+00 1.065E-02 1.144E-02 1.249E-02 7.112E-03 3.909E+00
3 9.23 10.00 1.026E-03 1.634E-01 3.758E-03 4.363E-03 5.297E-03 7.356E-03 4.742E+00
5 18.45 20.00 1.567E-04 1.706E-02 7.123E-04 7.840E-04 8.748E-04 7.424E-03 4.982E+00
Waveband 2 of 20 completed in 5.3 sec.
* * * * * Output for wavelength band 3 (390.0 to 410.0 nm; nominal wavelength = 400.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
The infinitely deep bottom boundary condition is applied at 43.1 m at 400.0 nm
RADTRANX clear-sky spectral irradiances averaged over the band from 390.0 nm to 410.0 nm:
Ed(diffuse) = 3.786E-01 Ed(direct) = 7.044E-01 Ed(total) = 1.083E+00
Absorption Coefficients of Individual Components at 400.0 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 0.0066 0.0777 0.0000 0.0309 0.1153
3 9.102 10.000 0.0066 0.0777 0.0000 0.0309 0.1153
5 18.204 20.000 0.0066 0.0777 0.0000 0.0309 0.1153
Scattering Coefficients of Individual Components at 400.0 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 0.0076 0.2757 0.5116 0.0000 0.7949
3 9.102 10.000 0.0076 0.2757 0.5116 0.0000 0.7949
5 18.204 20.000 0.0076 0.2757 0.5116 0.0000 0.7949
Backscattering Coefficients of Individual Components at 400.0 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 0.00379 0.00387 0.00090 0.00000 0.00855
3 9.102 10.000 0.00379 0.00387 0.00090 0.00000 0.00855
5 18.204 20.000 0.00379 0.00387 0.00090 0.00000 0.00855
Summary of Inherent Optical Properties at 400.0 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 0.1153 0.7949 0.9102 0.8734 0.00855 0.01076
3 9.102 10.000 0.1153 0.7949 0.9102 0.8734 0.00855 0.01076
5 18.204 20.000 0.1153 0.7949 0.9102 0.8734 0.00855 0.01076
The shape of the asymptotic radiance distribution is given by
u theta Linf(theta)
10 0.00 1.0000E+00
9 10.00 9.4974E-01
8 20.00 8.2614E-01
7 30.00 6.6023E-01
6 40.00 4.8905E-01
5 50.00 3.3998E-01
4 60.00 2.2543E-01
3 70.00 1.4535E-01
2 80.00 9.3524E-02
1 87.50 6.6976E-02
1 92.50 5.2444E-02
2 100.00 3.8639E-02
3 110.00 2.7330E-02
4 120.00 2.0386E-02
5 130.00 1.6179E-02
6 140.00 1.3625E-02
7 150.00 1.2083E-02
8 160.00 1.1179E-02
9 170.00 1.0704E-02
10 180.00 1.0540E-02
Asymptotic AOP values are
MUu(inf) = 0.3605
MUd(inf) = 0.7102
MU(inf) = 0.6338
R(inf) = 0.0390
Lu(inf)/Ed(inf) = 0.007398 (1/sr)
k(inf) = 0.1819 (1/m)
absorp(check) = 0.1153 = k(inf)*MU(inf)
Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 400.0 nm
iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed
in air 1.2931E-01 1.4191E+00 1.5484E+00 4.8888E-02 1.0829E+00 0.3781 0.7631 0.6678 4.5144E-02
1 0.00 0.00 6.8883E-02 1.1713E+00 1.2402E+00 3.0087E-02 1.0641E+00 0.4368 0.9085 0.8338 2.8274E-02
3 9.10 10.00 2.1483E-02 2.9643E-01 3.1792E-01 8.1106E-03 2.2492E-01 0.3775 0.7588 0.6820 3.6060E-02
5 18.20 20.00 4.1439E-03 5.4531E-02 5.8675E-02 1.5128E-03 3.9376E-02 0.3651 0.7221 0.6453 3.8418E-02
K-functions (units of 1/meter) at 400.0 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 0.08169 0.11083 0.10921 0.09169 0.13656 0.13787 0.12986
10.000 10.010 10.005 0.15077 0.15944 0.15885 0.15682 0.16826 0.16868 0.16667
20.000 20.010 20.005 0.17375 0.17589 0.17574 0.17535 0.17825 0.17836 0.17801
Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 400.0 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 4.00900E-01 4.08685E-03 3.75448E-02 4.16317E-02 3.77391E-03 0.093651
9 1 10.0 0.0 180.0 1.75765E-01 4.15073E-03 1.68686E-02 2.10194E-02 3.83290E-03 0.095972
9 4 10.0 45.0 135.0 1.96435E-01 4.13404E-03 1.93094E-02 2.34434E-02 3.81749E-03 0.098299
9 7 10.0 90.0 90.0 2.74532E-01 4.12598E-03 2.87037E-02 3.28296E-02 3.81005E-03 0.104555
8 1 20.0 0.0 180.0 1.05076E-01 4.19125E-03 5.93316E-03 1.01244E-02 3.87032E-03 0.056466
8 4 20.0 45.0 135.0 1.17253E-01 4.15255E-03 7.49007E-03 1.16426E-02 3.83459E-03 0.063880
8 7 20.0 90.0 90.0 1.64778E-01 4.14936E-03 1.44148E-02 1.85642E-02 3.83164E-03 0.087480
7 1 30.0 0.0 180.0 7.40357E-02 4.25584E-03 2.34385E-03 6.59969E-03 3.92997E-03 0.031658
7 4 30.0 45.0 135.0 8.08509E-02 4.25547E-03 2.86239E-03 7.11787E-03 3.92963E-03 0.035403
7 7 30.0 90.0 90.0 1.06282E-01 4.23234E-03 5.39821E-03 9.63056E-03 3.90827E-03 0.050791
6 1 40.0 0.0 180.0 6.08179E-02 4.31064E-03 1.77069E-03 6.08133E-03 3.98057E-03 0.029115
6 4 40.0 45.0 135.0 6.51167E-02 4.30744E-03 1.93281E-03 6.24025E-03 3.97761E-03 0.029682
6 7 40.0 90.0 90.0 7.99362E-02 4.29016E-03 2.67826E-03 6.96841E-03 3.96165E-03 0.033505
5 1 50.0 0.0 180.0 5.63311E-02 4.39576E-03 2.27566E-03 6.67142E-03 4.05918E-03 0.040398
5 4 50.0 45.0 135.0 5.94955E-02 4.37048E-03 2.40213E-03 6.77262E-03 4.03583E-03 0.040375
5 7 50.0 90.0 90.0 6.96607E-02 4.35805E-03 2.84395E-03 7.20201E-03 4.02435E-03 0.040826
4 1 60.0 0.0 180.0 5.84281E-02 4.36508E-03 4.48456E-03 8.84964E-03 4.03084E-03 0.076753
4 4 60.0 45.0 135.0 6.09546E-02 4.33473E-03 4.62367E-03 8.95840E-03 4.00281E-03 0.075854
4 7 60.0 90.0 90.0 6.89644E-02 4.37223E-03 5.18264E-03 9.55487E-03 4.03744E-03 0.075150
3 1 70.0 0.0 180.0 7.00720E-02 4.08904E-03 1.12133E-02 1.53023E-02 3.77594E-03 0.160025
3 4 70.0 45.0 135.0 7.19240E-02 4.10321E-03 1.14805E-02 1.55837E-02 3.78902E-03 0.159619
3 7 70.0 90.0 90.0 7.84394E-02 4.13090E-03 1.24887E-02 1.66196E-02 3.81459E-03 0.159215
2 1 80.0 0.0 180.0 1.04494E-01 3.53313E-03 2.66380E-02 3.01711E-02 3.26260E-03 0.254922
2 4 80.0 45.0 135.0 1.04999E-01 3.53501E-03 2.76477E-02 3.11827E-02 3.26433E-03 0.263315
2 7 80.0 90.0 90.0 1.09171E-01 3.55141E-03 2.95998E-02 3.31512E-02 3.27948E-03 0.271133
1 1 87.5 0.0 180.0 1.57528E-01 2.86929E-03 4.64156E-02 4.92848E-02 2.64958E-03 0.294649
1 4 87.5 45.0 135.0 1.55642E-01 2.73072E-03 4.95356E-02 5.22663E-02 2.52163E-03 0.318267
1 7 87.5 90.0 90.0 1.55352E-01 3.02585E-03 5.22134E-02 5.52393E-02 2.79416E-03 0.336097
Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 400.0 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 4.163E-02 4.009E-01 1.034E-01 1.053E-01 1.127E-01 3.844E-02 1.174E+00 4.087E-03 3.774E-03
1 0.00 0.00 7.582E-03 4.087E+00 1.502E-02 1.626E-02 1.793E-02 7.125E-03 3.968E+00
3 9.10 10.00 1.661E-03 2.636E-01 6.283E-03 7.370E-03 9.053E-03 7.384E-03 4.884E+00
5 18.20 20.00 2.931E-04 3.126E-02 1.400E-03 1.553E-03 1.747E-03 7.443E-03 5.162E+00
Waveband 3 of 20 completed in 5.2 sec.
* * * * * Output for wavelength band 4 (410.0 to 430.0 nm; nominal wavelength = 420.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
The infinitely deep bottom boundary condition is applied at 43.1 m at 420.0 nm
RADTRANX clear-sky spectral irradiances averaged over the band from 410.0 nm to 430.0 nm:
Ed(diffuse) = 4.360E-01 Ed(direct) = 8.979E-01 Ed(total) = 1.334E+00
Absorption Coefficients of Individual Components at 420.0 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 0.0045 0.0866 0.0000 0.0234 0.1145
3 9.080 10.000 0.0045 0.0866 0.0000 0.0234 0.1145
5 18.159 20.000 0.0045 0.0866 0.0000 0.0234 0.1145
Scattering Coefficients of Individual Components at 420.0 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 0.0061 0.2757 0.5116 0.0000 0.7935
3 9.080 10.000 0.0061 0.2757 0.5116 0.0000 0.7935
5 18.159 20.000 0.0061 0.2757 0.5116 0.0000 0.7935
Backscattering Coefficients of Individual Components at 420.0 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 0.00307 0.00387 0.00090 0.00000 0.00783
3 9.080 10.000 0.00307 0.00387 0.00090 0.00000 0.00783
5 18.159 20.000 0.00307 0.00387 0.00090 0.00000 0.00783
Summary of Inherent Optical Properties at 420.0 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 0.1145 0.7935 0.9080 0.8739 0.00783 0.00987
3 9.080 10.000 0.1145 0.7935 0.9080 0.8739 0.00783 0.00987
5 18.159 20.000 0.1145 0.7935 0.9080 0.8739 0.00783 0.00987
The shape of the asymptotic radiance distribution is given by
u theta Linf(theta)
10 0.00 1.0000E+00
9 10.00 9.4989E-01
8 20.00 8.2658E-01
7 30.00 6.6092E-01
6 40.00 4.8977E-01
5 50.00 3.4050E-01
4 60.00 2.2562E-01
3 70.00 1.4520E-01
2 80.00 9.3110E-02
1 87.50 6.6411E-02
1 92.50 5.1790E-02
2 100.00 3.7911E-02
3 110.00 2.6556E-02
4 120.00 1.9596E-02
5 130.00 1.5385E-02
6 140.00 1.2835E-02
7 150.00 1.1298E-02
8 160.00 1.0397E-02
9 170.00 9.9247E-03
10 180.00 9.7613E-03
Asymptotic AOP values are
MUu(inf) = 0.3557
MUd(inf) = 0.7105
MU(inf) = 0.6366
R(inf) = 0.0373
Lu(inf)/Ed(inf) = 0.006846 (1/sr)
k(inf) = 0.1798 (1/m)
absorp(check) = 0.1145 = k(inf)*MU(inf)
Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 420.0 nm
iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed
in air 1.5080E-01 1.7227E+00 1.8735E+00 5.8048E-02 1.3339E+00 0.3849 0.7743 0.6810 4.3519E-02
1 0.00 0.00 7.9875E-02 1.4359E+00 1.5157E+00 3.4710E-02 1.3105E+00 0.4345 0.9127 0.8417 2.6485E-02
3 9.08 10.00 2.6079E-02 3.7316E-01 3.9924E-01 9.7393E-03 2.8379E-01 0.3734 0.7605 0.6864 3.4318E-02
5 18.16 20.00 5.1766E-03 7.0308E-02 7.5485E-02 1.8665E-03 5.0814E-02 0.3606 0.7227 0.6484 3.6732E-02
K-functions (units of 1/meter) at 420.0 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 0.07573 0.10795 0.10625 0.08675 0.13425 0.13554 0.12679
10.000 10.010 10.005 0.14733 0.15685 0.15623 0.15365 0.16590 0.16634 0.16410
20.000 20.010 20.005 0.17129 0.17364 0.17347 0.17296 0.17607 0.17618 0.17580
Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 420.0 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 4.61675E-01 4.64781E-03 4.71913E-02 5.18391E-02 3.48450E-03 0.102218
9 1 10.0 0.0 180.0 2.02411E-01 4.71776E-03 2.10288E-02 2.57466E-02 3.53693E-03 0.103892
9 4 10.0 45.0 135.0 2.26219E-01 4.70011E-03 2.41074E-02 2.88075E-02 3.52370E-03 0.106567
9 7 10.0 90.0 90.0 3.16114E-01 4.69443E-03 3.59880E-02 4.06825E-02 3.51944E-03 0.113845
8 1 20.0 0.0 180.0 1.21005E-01 4.76526E-03 7.23905E-03 1.20043E-02 3.57255E-03 0.059824
8 4 20.0 45.0 135.0 1.35028E-01 4.72353E-03 9.18941E-03 1.39129E-02 3.54126E-03 0.068056
8 7 20.0 90.0 90.0 1.89758E-01 4.72577E-03 1.79104E-02 2.26361E-02 3.54294E-03 0.094385
7 1 30.0 0.0 180.0 8.52591E-02 4.84180E-03 2.75047E-03 7.59227E-03 3.62993E-03 0.032260
7 4 30.0 45.0 135.0 9.31076E-02 4.84466E-03 3.38749E-03 8.23215E-03 3.63207E-03 0.036383
7 7 30.0 90.0 90.0 1.22394E-01 4.82669E-03 6.53587E-03 1.13626E-02 3.61860E-03 0.053400
6 1 40.0 0.0 180.0 7.00377E-02 4.91107E-03 2.04174E-03 6.95281E-03 3.68186E-03 0.029152
6 4 40.0 45.0 135.0 7.49881E-02 4.91196E-03 2.23172E-03 7.14368E-03 3.68253E-03 0.029761
6 7 40.0 90.0 90.0 9.20542E-02 4.90391E-03 3.12071E-03 8.02461E-03 3.67649E-03 0.033901
5 1 50.0 0.0 180.0 6.48706E-02 5.01587E-03 2.62097E-03 7.63684E-03 3.76043E-03 0.040403
5 4 50.0 45.0 135.0 6.85148E-02 4.99264E-03 2.76629E-03 7.75892E-03 3.74301E-03 0.040375
5 7 50.0 90.0 90.0 8.02210E-02 4.99300E-03 3.27675E-03 8.26975E-03 3.74328E-03 0.040847
4 1 60.0 0.0 180.0 6.72856E-02 4.98905E-03 5.16440E-03 1.01534E-02 3.74032E-03 0.076753
4 4 60.0 45.0 135.0 7.01951E-02 4.96085E-03 5.32460E-03 1.02855E-02 3.71918E-03 0.075854
4 7 60.0 90.0 90.0 7.94191E-02 5.02092E-03 5.96831E-03 1.09892E-02 3.76421E-03 0.075150
3 1 70.0 0.0 180.0 8.06946E-02 4.68228E-03 1.29132E-02 1.75955E-02 3.51033E-03 0.160025
3 4 70.0 45.0 135.0 8.28274E-02 4.70549E-03 1.32209E-02 1.79264E-02 3.52774E-03 0.159619
3 7 70.0 90.0 90.0 9.03305E-02 4.75590E-03 1.43820E-02 1.91379E-02 3.56553E-03 0.159215
2 1 80.0 0.0 180.0 1.20335E-01 4.05255E-03 3.06762E-02 3.47287E-02 3.03823E-03 0.254922
2 4 80.0 45.0 135.0 1.20916E-01 4.06144E-03 3.18390E-02 3.59004E-02 3.04489E-03 0.263315
2 7 80.0 90.0 90.0 1.25721E-01 4.09783E-03 3.40870E-02 3.81848E-02 3.07217E-03 0.271133
1 1 87.5 0.0 180.0 1.81409E-01 3.29631E-03 5.34520E-02 5.67483E-02 2.47127E-03 0.294649
1 4 87.5 45.0 135.0 1.79236E-01 3.14264E-03 5.70450E-02 6.01876E-02 2.35606E-03 0.318267
1 7 87.5 90.0 90.0 1.78903E-01 3.49853E-03 6.01288E-02 6.36273E-02 2.62287E-03 0.336097
Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 420.0 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 5.184E-02 4.617E-01 1.191E-01 1.213E-01 1.298E-01 3.886E-02 1.120E+00 4.648E-03 3.484E-03
1 0.00 0.00 8.622E-03 5.127E+00 1.736E-02 1.896E-02 2.109E-02 6.579E-03 4.026E+00
3 9.08 10.00 1.944E-03 3.358E-01 7.679E-03 9.097E-03 1.129E-02 6.851E-03 5.009E+00
5 18.16 20.00 3.513E-04 4.044E-02 1.772E-03 1.978E-03 2.239E-03 6.914E-03 5.313E+00
Waveband 4 of 20 completed in 5.2 sec.
* * * * * Output for wavelength band 5 (430.0 to 450.0 nm; nominal wavelength = 440.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
The infinitely deep bottom boundary condition is applied at 43.1 m at 440.0 nm
RADTRANX clear-sky spectral irradiances averaged over the band from 430.0 nm to 450.0 nm:
Ed(diffuse) = 4.466E-01 Ed(direct) = 1.008E+00 Ed(total) = 1.455E+00
Absorption Coefficients of Individual Components at 440.0 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 0.0063 0.0882 0.0000 0.0176 0.1122
3 9.046 10.000 0.0063 0.0882 0.0000 0.0176 0.1122
5 18.093 20.000 0.0063 0.0882 0.0000 0.0176 0.1122
Scattering Coefficients of Individual Components at 440.0 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 0.0050 0.2757 0.5116 0.0000 0.7924
3 9.046 10.000 0.0050 0.2757 0.5116 0.0000 0.7924
5 18.093 20.000 0.0050 0.2757 0.5116 0.0000 0.7924
Backscattering Coefficients of Individual Components at 440.0 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 0.00251 0.00387 0.00090 0.00000 0.00728
3 9.046 10.000 0.00251 0.00387 0.00090 0.00000 0.00728
5 18.093 20.000 0.00251 0.00387 0.00090 0.00000 0.00728
Summary of Inherent Optical Properties at 440.0 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 0.1122 0.7924 0.9046 0.8759 0.00728 0.00918
3 9.046 10.000 0.1122 0.7924 0.9046 0.8759 0.00728 0.00918
5 18.093 20.000 0.1122 0.7924 0.9046 0.8759 0.00728 0.00918
The shape of the asymptotic radiance distribution is given by
u theta Linf(theta)
10 0.00 1.0000E+00
9 10.00 9.5038E-01
8 20.00 8.2813E-01
7 30.00 6.6353E-01
6 40.00 4.9294E-01
5 50.00 3.4360E-01
4 60.00 2.2818E-01
3 70.00 1.4705E-01
2 80.00 9.4289E-02
1 87.50 6.7152E-02
1 92.50 5.2252E-02
2 100.00 3.8094E-02
3 110.00 2.6500E-02
4 120.00 1.9386E-02
5 130.00 1.5082E-02
6 140.00 1.2475E-02
7 150.00 1.0903E-02
8 160.00 9.9829E-03
9 170.00 9.4999E-03
10 180.00 9.3331E-03
Asymptotic AOP values are
MUu(inf) = 0.3518
MUd(inf) = 0.7095
MU(inf) = 0.6368
R(inf) = 0.0365
Lu(inf)/Ed(inf) = 0.006513 (1/sr)
k(inf) = 0.1763 (1/m)
absorp(check) = 0.1123 = k(inf)*MU(inf)
Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 440.0 nm
iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed
in air 1.5692E-01 1.8546E+00 2.0115E+00 6.1516E-02 1.4547E+00 0.3920 0.7843 0.6926 4.2289E-02
1 0.00 0.00 8.3733E-02 1.5605E+00 1.6442E+00 3.6228E-02 1.4294E+00 0.4327 0.9160 0.8473 2.5345E-02
3 9.05 10.00 2.8993E-02 4.2211E-01 4.5110E-01 1.0732E-02 3.2132E-01 0.3702 0.7612 0.6885 3.3401E-02
5 18.09 20.00 6.0121E-03 8.2655E-02 8.8667E-02 2.1462E-03 5.9700E-02 0.3570 0.7223 0.6491 3.5949E-02
K-functions (units of 1/meter) at 440.0 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 0.06797 0.10418 0.10233 0.08059 0.13076 0.13206 0.12212
10.000 10.010 10.005 0.14242 0.15285 0.15218 0.14896 0.16215 0.16261 0.15992
20.000 20.010 20.005 0.16730 0.16991 0.16973 0.16903 0.17243 0.17255 0.17201
Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 440.0 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 4.72896E-01 4.78338E-03 5.23666E-02 5.71499E-02 3.28833E-03 0.110736
9 1 10.0 0.0 180.0 2.07330E-01 4.85254E-03 2.31726E-02 2.80251E-02 3.33587E-03 0.111766
9 4 10.0 45.0 135.0 2.31723E-01 4.83583E-03 2.65989E-02 3.14347E-02 3.32438E-03 0.114787
9 7 10.0 90.0 90.0 3.23762E-01 4.83376E-03 3.98502E-02 4.46839E-02 3.32296E-03 0.123085
8 1 20.0 0.0 180.0 1.23946E-01 4.90317E-03 7.82898E-03 1.27322E-02 3.37068E-03 0.063165
8 4 20.0 45.0 135.0 1.38310E-01 4.86270E-03 9.98711E-03 1.48498E-02 3.34285E-03 0.072208
8 7 20.0 90.0 90.0 1.94370E-01 4.87134E-03 1.96803E-02 2.45516E-02 3.34879E-03 0.101252
7 1 30.0 0.0 180.0 8.73314E-02 4.98551E-03 2.86958E-03 7.85508E-03 3.42728E-03 0.032858
7 4 30.0 45.0 135.0 9.53706E-02 4.99200E-03 3.56268E-03 8.55468E-03 3.43174E-03 0.037356
7 7 30.0 90.0 90.0 1.25369E-01 4.98250E-03 7.01996E-03 1.20025E-02 3.42521E-03 0.055994
6 1 40.0 0.0 180.0 7.17400E-02 5.06457E-03 2.09403E-03 7.15860E-03 3.48163E-03 0.029189
6 4 40.0 45.0 135.0 7.68108E-02 5.07037E-03 2.29198E-03 7.36235E-03 3.48562E-03 0.029839
6 7 40.0 90.0 90.0 9.42916E-02 5.07457E-03 3.23367E-03 8.30824E-03 3.48850E-03 0.034294
5 1 50.0 0.0 180.0 6.64474E-02 5.18108E-03 2.68501E-03 7.86608E-03 3.56172E-03 0.040408
5 4 50.0 45.0 135.0 7.01801E-02 5.16308E-03 2.83352E-03 7.99661E-03 3.54935E-03 0.040375
5 7 50.0 90.0 90.0 8.21708E-02 5.17899E-03 3.35809E-03 8.53708E-03 3.56029E-03 0.040867
4 1 60.0 0.0 180.0 6.89210E-02 5.16203E-03 5.28992E-03 1.04520E-02 3.54863E-03 0.076753
4 4 60.0 45.0 135.0 7.19013E-02 5.13978E-03 5.45402E-03 1.05938E-02 3.53333E-03 0.075854
4 7 60.0 90.0 90.0 8.13495E-02 5.22021E-03 6.11337E-03 1.13336E-02 3.58862E-03 0.075150
3 1 70.0 0.0 180.0 8.26560E-02 4.85351E-03 1.32271E-02 1.80806E-02 3.33654E-03 0.160025
3 4 70.0 45.0 135.0 8.48406E-02 4.88497E-03 1.35422E-02 1.84272E-02 3.35817E-03 0.159619
3 7 70.0 90.0 90.0 9.25260E-02 4.95695E-03 1.47315E-02 1.96885E-02 3.40765E-03 0.159215
2 1 80.0 0.0 180.0 1.23260E-01 4.20753E-03 3.14218E-02 3.56293E-02 2.89246E-03 0.254922
2 4 80.0 45.0 135.0 1.23855E-01 4.22384E-03 3.26129E-02 3.68367E-02 2.90367E-03 0.263315
2 7 80.0 90.0 90.0 1.28777E-01 4.28006E-03 3.49155E-02 3.91956E-02 2.94232E-03 0.271133
1 1 87.5 0.0 180.0 1.85818E-01 3.42729E-03 5.47511E-02 5.81784E-02 2.35608E-03 0.294649
1 4 87.5 45.0 135.0 1.83593E-01 3.27326E-03 5.84315E-02 6.17048E-02 2.25020E-03 0.318267
1 7 87.5 90.0 90.0 1.83252E-01 3.66082E-03 6.15902E-02 6.52511E-02 2.51663E-03 0.336097
Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 440.0 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 5.715E-02 4.729E-01 1.220E-01 1.243E-01 1.330E-01 3.929E-02 1.076E+00 4.783E-03 3.288E-03
1 0.00 0.00 8.873E-03 5.680E+00 1.814E-02 1.995E-02 2.240E-02 6.207E-03 4.083E+00
3 9.05 10.00 2.093E-03 3.826E-01 8.562E-03 1.023E-02 1.282E-02 6.513E-03 5.128E+00
5 18.09 20.00 3.934E-04 4.746E-02 2.075E-03 2.329E-03 2.651E-03 6.590E-03 5.455E+00
Waveband 5 of 20 completed in 5.2 sec.
* * * * * Output for wavelength band 6 (450.0 to 470.0 nm; nominal wavelength = 460.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
The infinitely deep bottom boundary condition is applied at 43.1 m at 460.0 nm
RADTRANX clear-sky spectral irradiances averaged over the band from 450.0 nm to 470.0 nm:
Ed(diffuse) = 4.909E-01 Ed(direct) = 1.188E+00 Ed(total) = 1.679E+00
Absorption Coefficients of Individual Components at 460.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total
(m) (1/m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0098 0.0743 0.0000 0.0133 0.0974
3 8.889 10.000 0.0098 0.0743 0.0000 0.0133 0.0974
5 17.778 20.000 0.0098 0.0743 0.0000 0.0133 0.0974
Scattering Coefficients of Individual Components at 460.0 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 0.0041 0.2757 0.5116 0.0000 0.7915
3 8.889 10.000 0.0041 0.2757 0.5116 0.0000 0.7915
5 17.778 20.000 0.0041 0.2757 0.5116 0.0000 0.7915
Backscattering Coefficients of Individual Components at 460.0 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 0.00207 0.00387 0.00090 0.00000 0.00684
3 8.889 10.000 0.00207 0.00387 0.00090 0.00000 0.00684
5 17.778 20.000 0.00207 0.00387 0.00090 0.00000 0.00684
Summary of Inherent Optical Properties at 460.0 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 0.0974 0.7915 0.8889 0.8904 0.00684 0.00864
3 8.889 10.000 0.0974 0.7915 0.8889 0.8904 0.00684 0.00864
5 17.778 20.000 0.0974 0.7915 0.8889 0.8904 0.00684 0.00864
The shape of the asymptotic radiance distribution is given by
u theta Linf(theta)
10 0.00 1.0000E+00
9 10.00 9.5391E-01
8 20.00 8.3955E-01
7 30.00 6.8338E-01
6 40.00 5.1824E-01
5 50.00 3.7000E-01
4 60.00 2.5211E-01
3 70.00 1.6666E-01
2 80.00 1.0935E-01
1 87.50 7.9012E-02
1 92.50 6.1979E-02
2 100.00 4.5554E-02
3 110.00 3.1854E-02
4 120.00 2.3277E-02
5 130.00 1.7998E-02
6 140.00 1.4758E-02
7 150.00 1.2783E-02
8 160.00 1.1617E-02
9 170.00 1.1002E-02
10 180.00 1.0790E-02
Asymptotic AOP values are
MUu(inf) = 0.3510
MUd(inf) = 0.6988
MU(inf) = 0.6186
R(inf) = 0.0416
Lu(inf)/Ed(inf) = 0.007212 (1/sr)
k(inf) = 0.1575 (1/m)
absorp(check) = 0.0974 = k(inf)*MU(inf)
Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 460.0 nm
iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed
in air 1.7995E-01 2.1201E+00 2.3001E+00 7.2180E-02 1.6789E+00 0.4011 0.7919 0.6986 4.2992E-02
1 0.00 0.00 1.0753E-01 1.8075E+00 1.9151E+00 4.6592E-02 1.6533E+00 0.4333 0.9147 0.8390 2.8181E-02
3 8.89 10.00 4.5262E-02 5.8993E-01 6.3519E-01 1.6761E-02 4.4519E-01 0.3703 0.7547 0.6745 3.7650E-02
5 17.78 20.00 1.1421E-02 1.4004E-01 1.5147E-01 4.0699E-03 9.9841E-02 0.3564 0.7129 0.6323 4.0764E-02
K-functions (units of 1/meter) at 460.0 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 0.05672 0.08963 0.08778 0.06468 0.11423 0.11567 0.10473
10.000 10.010 10.005 0.12241 0.13348 0.13269 0.12927 0.14345 0.14401 0.14096
20.000 20.010 20.005 0.14799 0.15079 0.15058 0.14985 0.15356 0.15372 0.15313
Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 460.0 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 5.19817E-01 6.06744E-03 6.12055E-02 6.72729E-02 3.61391E-03 0.117744
9 1 10.0 0.0 180.0 2.27902E-01 6.14787E-03 2.69484E-02 3.30962E-02 3.66182E-03 0.118246
9 4 10.0 45.0 135.0 2.54720E-01 6.13043E-03 3.09613E-02 3.70918E-02 3.65143E-03 0.121550
9 7 10.0 90.0 90.0 3.55852E-01 6.13692E-03 4.65059E-02 5.26428E-02 3.65529E-03 0.130689
8 1 20.0 0.0 180.0 1.36244E-01 6.21563E-03 8.98018E-03 1.51958E-02 3.70217E-03 0.065913
8 4 20.0 45.0 135.0 1.52033E-01 6.17042E-03 1.14975E-02 1.76679E-02 3.67525E-03 0.075625
8 7 20.0 90.0 90.0 2.13655E-01 6.19634E-03 2.28400E-02 2.90363E-02 3.69068E-03 0.106901
7 1 30.0 0.0 180.0 9.59964E-02 6.32752E-03 3.20156E-03 9.52908E-03 3.76882E-03 0.033351
7 4 30.0 45.0 135.0 1.04833E-01 6.34422E-03 4.00014E-03 1.03444E-02 3.77877E-03 0.038157
7 7 30.0 90.0 90.0 1.37808E-01 6.35297E-03 8.01061E-03 1.43636E-02 3.78398E-03 0.058129
6 1 40.0 0.0 180.0 7.88580E-02 6.44342E-03 2.30421E-03 8.74763E-03 3.83785E-03 0.029220
6 4 40.0 45.0 135.0 8.44319E-02 6.46205E-03 2.52483E-03 8.98688E-03 3.84895E-03 0.029904
6 7 40.0 90.0 90.0 1.03647E-01 6.49526E-03 3.58807E-03 1.00833E-02 3.86873E-03 0.034618
5 1 50.0 0.0 180.0 7.30402E-02 6.60661E-03 2.95171E-03 9.55833E-03 3.93505E-03 0.040412
5 4 50.0 45.0 135.0 7.71433E-02 6.59696E-03 3.11466E-03 9.71162E-03 3.92930E-03 0.040375
5 7 50.0 90.0 90.0 9.03237E-02 6.65031E-03 3.69281E-03 1.03431E-02 3.96108E-03 0.040884
4 1 60.0 0.0 180.0 7.57593E-02 6.59652E-03 5.81478E-03 1.24113E-02 3.92904E-03 0.076753
4 4 60.0 45.0 135.0 7.90352E-02 6.58284E-03 5.99517E-03 1.25780E-02 3.92089E-03 0.075854
4 7 60.0 90.0 90.0 8.94209E-02 6.72287E-03 6.71994E-03 1.34428E-02 4.00430E-03 0.075150
3 1 70.0 0.0 180.0 9.08570E-02 6.21360E-03 1.45394E-02 2.07530E-02 3.70097E-03 0.160025
3 4 70.0 45.0 135.0 9.32584E-02 6.26885E-03 1.48858E-02 2.11547E-02 3.73387E-03 0.159619
3 7 70.0 90.0 90.0 1.01706E-01 6.39891E-03 1.61932E-02 2.25921E-02 3.81134E-03 0.159215
2 1 80.0 0.0 180.0 1.35490E-01 5.39359E-03 3.45394E-02 3.99330E-02 3.21255E-03 0.254922
2 4 80.0 45.0 135.0 1.36144E-01 5.42809E-03 3.58487E-02 4.12768E-02 3.23310E-03 0.263315
2 7 80.0 90.0 90.0 1.41554E-01 5.53402E-03 3.83798E-02 4.39138E-02 3.29619E-03 0.271133
1 1 87.5 0.0 180.0 2.04255E-01 4.39614E-03 6.01835E-02 6.45796E-02 2.61844E-03 0.294649
1 4 87.5 45.0 135.0 2.01809E-01 4.20923E-03 6.42290E-02 6.84382E-02 2.50711E-03 0.318267
1 7 87.5 90.0 90.0 2.01434E-01 4.73671E-03 6.77012E-02 7.24379E-02 2.82130E-03 0.336097
Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 460.0 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 6.727E-02 5.198E-01 1.344E-01 1.369E-01 1.466E-01 4.007E-02 1.073E+00 6.067E-03 3.614E-03
1 0.00 0.00 1.125E-02 6.631E+00 2.302E-02 2.545E-02 2.871E-02 6.806E-03 4.140E+00
3 8.89 10.00 3.197E-03 5.230E-01 1.308E-02 1.571E-02 1.978E-02 7.181E-03 5.243E+00
5 17.78 20.00 7.263E-04 7.688E-02 3.878E-03 4.373E-03 5.001E-03 7.275E-03 5.603E+00
Waveband 6 of 20 completed in 5.1 sec.
* * * * * Output for wavelength band 7 (470.0 to 490.0 nm; nominal wavelength = 480.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
The infinitely deep bottom boundary condition is applied at 43.1 m at 480.0 nm
RADTRANX clear-sky spectral irradiances averaged over the band from 470.0 nm to 490.0 nm:
Ed(diffuse) = 4.668E-01 Ed(direct) = 1.200E+00 Ed(total) = 1.666E+00
Absorption Coefficients of Individual Components at 480.0 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 0.0127 0.0625 0.0000 0.0101 0.0853
3 8.761 10.000 0.0127 0.0625 0.0000 0.0101 0.0853
5 17.521 20.000 0.0127 0.0625 0.0000 0.0101 0.0853
Scattering Coefficients of Individual Components at 480.0 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 0.0034 0.2757 0.5116 0.0000 0.7908
3 8.761 10.000 0.0034 0.2757 0.5116 0.0000 0.7908
5 17.521 20.000 0.0034 0.2757 0.5116 0.0000 0.7908
Backscattering Coefficients of Individual Components at 480.0 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 0.00172 0.00387 0.00090 0.00000 0.00649
3 8.761 10.000 0.00172 0.00387 0.00090 0.00000 0.00649
5 17.521 20.000 0.00172 0.00387 0.00090 0.00000 0.00649
Summary of Inherent Optical Properties at 480.0 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 0.0853 0.7908 0.8761 0.9027 0.00649 0.00821
3 8.761 10.000 0.0853 0.7908 0.8761 0.9027 0.00649 0.00821
5 17.521 20.000 0.0853 0.7908 0.8761 0.9027 0.00649 0.00821
The shape of the asymptotic radiance distribution is given by
u theta Linf(theta)
10 0.00 1.0000E+00
9 10.00 9.5698E-01
8 20.00 8.4957E-01
7 30.00 7.0109E-01
6 40.00 5.4132E-01
5 50.00 3.9473E-01
4 60.00 2.7519E-01
3 70.00 1.8617E-01
2 80.00 1.2479E-01
1 87.50 9.1437E-02
1 92.50 7.2329E-02
2 100.00 5.3645E-02
3 110.00 3.7782E-02
4 120.00 2.7656E-02
5 130.00 2.1320E-02
6 140.00 1.7377E-02
7 150.00 1.4947E-02
8 160.00 1.3502E-02
9 170.00 1.2735E-02
10 180.00 1.2470E-02
Asymptotic AOP values are
MUu(inf) = 0.3513
MUd(inf) = 0.6889
MU(inf) = 0.6009
R(inf) = 0.0471
Lu(inf)/Ed(inf) = 0.008018 (1/sr)
k(inf) = 0.1419 (1/m)
absorp(check) = 0.0853 = k(inf)*MU(inf)
Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 480.0 nm
iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed
in air 1.7892E-01 2.0873E+00 2.2662E+00 7.3284E-02 1.6664E+00 0.4096 0.7983 0.7030 4.3977E-02
1 0.00 0.00 1.1900E-01 1.8021E+00 1.9211E+00 5.1691E-02 1.6448E+00 0.4344 0.9127 0.8293 3.1427E-02
3 8.76 10.00 5.8531E-02 6.8624E-01 7.4477E-01 2.1745E-02 5.1367E-01 0.3715 0.7485 0.6605 4.2332E-02
5 17.52 20.00 1.7363E-02 1.9110E-01 2.0847E-01 6.1966E-03 1.3460E-01 0.3569 0.7043 0.6159 4.6037E-02
K-functions (units of 1/meter) at 480.0 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 0.04925 0.07835 0.07655 0.05259 0.10077 0.10233 0.09078
10.000 10.010 10.005 0.10600 0.11745 0.11655 0.11312 0.12802 0.12868 0.12539
20.000 20.010 20.005 0.13202 0.13494 0.13470 0.13398 0.13794 0.13813 0.13749
Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 480.0 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 4.94350E-01 6.66397E-03 6.13857E-02 6.80497E-02 3.99902E-03 0.124175
9 1 10.0 0.0 180.0 2.16736E-01 6.74424E-03 2.69165E-02 3.36608E-02 4.04718E-03 0.124190
9 4 10.0 45.0 135.0 2.42246E-01 6.72909E-03 3.09482E-02 3.76773E-02 4.03809E-03 0.127756
9 7 10.0 90.0 90.0 3.38390E-01 6.74585E-03 4.65850E-02 5.33308E-02 4.04815E-03 0.137666
8 1 20.0 0.0 180.0 1.29569E-01 6.82160E-03 8.86692E-03 1.56885E-02 4.09361E-03 0.068434
8 4 20.0 45.0 135.0 1.44584E-01 6.77843E-03 1.13874E-02 1.81658E-02 4.06770E-03 0.078760
8 7 20.0 90.0 90.0 2.03188E-01 6.82265E-03 2.27742E-02 2.95969E-02 4.09424E-03 0.112084
7 1 30.0 0.0 180.0 9.12934E-02 6.95120E-03 3.08595E-03 1.00371E-02 4.17138E-03 0.033803
7 4 30.0 45.0 135.0 9.96972E-02 6.97843E-03 3.87745E-03 1.08559E-02 4.18772E-03 0.038892
7 7 30.0 90.0 90.0 1.31057E-01 7.00982E-03 7.87481E-03 1.48846E-02 4.20656E-03 0.060087
6 1 40.0 0.0 180.0 7.49946E-02 7.09267E-03 2.19343E-03 9.28609E-03 4.25627E-03 0.029248
6 4 40.0 45.0 135.0 8.02954E-02 7.12488E-03 2.40588E-03 9.53076E-03 4.27560E-03 0.029963
6 7 40.0 90.0 90.0 9.85693E-02 7.19029E-03 3.44157E-03 1.06319E-02 4.31486E-03 0.034915
5 1 50.0 0.0 180.0 6.94619E-02 7.28528E-03 2.80737E-03 1.00926E-02 4.37186E-03 0.040416
5 4 50.0 45.0 135.0 7.33639E-02 7.28832E-03 2.96207E-03 1.02504E-02 4.37368E-03 0.040375
5 7 50.0 90.0 90.0 8.58986E-02 7.38096E-03 3.51323E-03 1.08942E-02 4.42927E-03 0.040900
4 1 60.0 0.0 180.0 7.20477E-02 7.28602E-03 5.52990E-03 1.28159E-02 4.37230E-03 0.076753
4 4 60.0 45.0 135.0 7.51632E-02 7.28595E-03 5.70145E-03 1.29874E-02 4.37226E-03 0.075854
4 7 60.0 90.0 90.0 8.50400E-02 7.47830E-03 6.39071E-03 1.38690E-02 4.48769E-03 0.075150
3 1 70.0 0.0 180.0 8.64058E-02 6.87132E-03 1.38271E-02 2.06984E-02 4.12344E-03 0.160025
3 4 70.0 45.0 135.0 8.86895E-02 6.94752E-03 1.41566E-02 2.11041E-02 4.16917E-03 0.159619
3 7 70.0 90.0 90.0 9.67236E-02 7.12911E-03 1.53998E-02 2.25290E-02 4.27814E-03 0.159215
2 1 80.0 0.0 180.0 1.28852E-01 5.96889E-03 3.28473E-02 3.88162E-02 3.58190E-03 0.254922
2 4 80.0 45.0 135.0 1.29474E-01 6.02060E-03 3.40924E-02 4.01130E-02 3.61293E-03 0.263315
2 7 80.0 90.0 90.0 1.34619E-01 6.17121E-03 3.64995E-02 4.26707E-02 3.70331E-03 0.271133
1 1 87.5 0.0 180.0 1.94248E-01 4.86552E-03 5.72350E-02 6.21005E-02 2.91977E-03 0.294649
1 4 87.5 45.0 135.0 1.91922E-01 4.66917E-03 6.10823E-02 6.57515E-02 2.80194E-03 0.318267
1 7 87.5 90.0 90.0 1.91565E-01 5.28251E-03 6.43844E-02 6.96669E-02 3.17000E-03 0.336097
Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 480.0 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 6.805E-02 4.944E-01 1.282E-01 1.306E-01 1.398E-01 4.084E-02 1.077E+00 6.664E-03 3.999E-03
1 0.00 0.00 1.236E-02 6.644E+00 2.518E-02 2.796E-02 3.165E-02 7.513E-03 4.183E+00
3 8.76 10.00 4.085E-03 5.962E-01 1.653E-02 1.992E-02 2.515E-02 7.953E-03 5.323E+00
5 17.52 20.00 1.085E-03 1.008E-01 5.785E-03 6.546E-03 7.509E-03 8.061E-03 5.711E+00
Waveband 7 of 20 completed in 5.1 sec.
* * * * * Output for wavelength band 8 (490.0 to 510.0 nm; nominal wavelength = 500.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
The infinitely deep bottom boundary condition is applied at 43.1 m at 500.0 nm
RADTRANX clear-sky spectral irradiances averaged over the band from 490.0 nm to 510.0 nm:
Ed(diffuse) = 4.458E-01 Ed(direct) = 1.205E+00 Ed(total) = 1.651E+00
Absorption Coefficients of Individual Components at 500.0 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 0.0204 0.0497 0.0000 0.0076 0.0777
3 8.680 10.000 0.0204 0.0497 0.0000 0.0076 0.0777
5 17.360 20.000 0.0204 0.0497 0.0000 0.0076 0.0777
Scattering Coefficients of Individual Components at 500.0 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 0.0029 0.2757 0.5116 0.0000 0.7903
3 8.680 10.000 0.0029 0.2757 0.5116 0.0000 0.7903
5 17.360 20.000 0.0029 0.2757 0.5116 0.0000 0.7903
Backscattering Coefficients of Individual Components at 500.0 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 0.00144 0.00387 0.00090 0.00000 0.00621
3 8.680 10.000 0.00144 0.00387 0.00090 0.00000 0.00621
5 17.360 20.000 0.00144 0.00387 0.00090 0.00000 0.00621
Summary of Inherent Optical Properties at 500.0 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 0.0777 0.7903 0.8680 0.9104 0.00621 0.00786
3 8.680 10.000 0.0777 0.7903 0.8680 0.9104 0.00621 0.00786
5 17.360 20.000 0.0777 0.7903 0.8680 0.9104 0.00621 0.00786
The shape of the asymptotic radiance distribution is given by
u theta Linf(theta)
10 0.00 1.0000E+00
9 10.00 9.5897E-01
8 20.00 8.5612E-01
7 30.00 7.1280E-01
6 40.00 5.5682E-01
5 50.00 4.1167E-01
4 60.00 2.9133E-01
3 70.00 2.0010E-01
2 80.00 1.3604E-01
1 87.50 1.0062E-01
1 92.50 8.0049E-02
2 100.00 5.9743E-02
3 110.00 4.2292E-02
4 120.00 3.1001E-02
5 130.00 2.3853E-02
6 140.00 1.9362E-02
7 150.00 1.6574E-02
8 160.00 1.4905E-02
9 170.00 1.4017E-02
10 180.00 1.3709E-02
Asymptotic AOP values are
MUu(inf) = 0.3516
MUd(inf) = 0.6823
MU(inf) = 0.5888
R(inf) = 0.0512
Lu(inf)/Ed(inf) = 0.008591 (1/sr)
k(inf) = 0.1320 (1/m)
absorp(check) = 0.0777 = k(inf)*MU(inf)
Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 500.0 nm
iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed
in air 1.7703E-01 2.0542E+00 2.2312E+00 7.3688E-02 1.6510E+00 0.4163 0.8037 0.7070 4.4632E-02
1 0.00 0.00 1.2656E-01 1.7909E+00 1.9174E+00 5.5066E-02 1.6324E+00 0.4351 0.9115 0.8226 3.3733E-02
3 8.68 10.00 6.8709E-02 7.5161E-01 8.2032E-01 2.5588E-02 5.5965E-01 0.3724 0.7446 0.6510 4.5721E-02
5 17.36 20.00 2.2595E-02 2.3161E-01 2.5421E-01 8.0743E-03 1.6181E-01 0.3573 0.6986 0.6048 4.9898E-02
K-functions (units of 1/meter) at 500.0 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 0.04475 0.07153 0.06976 0.04499 0.09235 0.09400 0.08190
10.000 10.010 10.005 0.09553 0.10728 0.10629 0.10283 0.11828 0.11902 0.11549
20.000 20.010 20.005 0.12187 0.12489 0.12463 0.12390 0.12806 0.12828 0.12756
Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 500.0 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 4.72111E-01 7.04688E-03 6.13401E-02 6.83870E-02 4.26819E-03 0.129927
9 1 10.0 0.0 180.0 2.06986E-01 7.12477E-03 2.68064E-02 3.39312E-02 4.31536E-03 0.129508
9 4 10.0 45.0 135.0 2.31352E-01 7.11209E-03 3.08407E-02 3.79528E-02 4.30769E-03 0.133306
9 7 10.0 90.0 90.0 3.23143E-01 7.13793E-03 4.65034E-02 5.36414E-02 4.32333E-03 0.143910
8 1 20.0 0.0 180.0 1.23740E-01 7.20852E-03 8.74714E-03 1.59557E-02 4.36609E-03 0.070690
8 4 20.0 45.0 135.0 1.38080E-01 7.16831E-03 1.12624E-02 1.84307E-02 4.34174E-03 0.081564
8 7 20.0 90.0 90.0 1.94047E-01 7.22830E-03 2.26495E-02 2.98778E-02 4.37807E-03 0.116722
7 1 30.0 0.0 180.0 8.71863E-02 7.35048E-03 2.98235E-03 1.03328E-02 4.45208E-03 0.034207
7 4 30.0 45.0 135.0 9.52121E-02 7.38673E-03 3.76562E-03 1.11524E-02 4.47403E-03 0.039550
7 7 30.0 90.0 90.0 1.25161E-01 7.43821E-03 7.73983E-03 1.51780E-02 4.50521E-03 0.061839
6 1 40.0 0.0 180.0 7.16208E-02 7.51072E-03 2.09655E-03 9.60727E-03 4.54913E-03 0.029273
6 4 40.0 45.0 135.0 7.66832E-02 7.55463E-03 2.30170E-03 9.85633E-03 4.57572E-03 0.030016
6 7 40.0 90.0 90.0 9.41350E-02 7.64805E-03 3.31177E-03 1.09598E-02 4.63231E-03 0.035181
5 1 50.0 0.0 180.0 6.63370E-02 7.72432E-03 2.68130E-03 1.04056E-02 4.67850E-03 0.040419
5 4 50.0 45.0 135.0 7.00635E-02 7.73897E-03 2.82882E-03 1.05678E-02 4.68738E-03 0.040375
5 7 50.0 90.0 90.0 8.20343E-02 7.86545E-03 3.35633E-03 1.12218E-02 4.76399E-03 0.040914
4 1 60.0 0.0 180.0 6.88065E-02 7.73382E-03 5.28113E-03 1.30149E-02 4.68426E-03 0.076753
4 4 60.0 45.0 135.0 7.17818E-02 7.74629E-03 5.44496E-03 1.31913E-02 4.69181E-03 0.075854
4 7 60.0 90.0 90.0 8.12143E-02 7.98193E-03 6.10322E-03 1.40852E-02 4.83454E-03 0.075150
3 1 70.0 0.0 180.0 8.25187E-02 7.29944E-03 1.32051E-02 2.05045E-02 4.42116E-03 0.160025
3 4 70.0 45.0 135.0 8.46997E-02 7.39297E-03 1.35197E-02 2.09127E-02 4.47781E-03 0.159619
3 7 70.0 90.0 90.0 9.23723E-02 7.61742E-03 1.47070E-02 2.23245E-02 4.61376E-03 0.159215
2 1 80.0 0.0 180.0 1.23055E-01 6.34373E-03 3.13696E-02 3.77133E-02 3.84230E-03 0.254922
2 4 80.0 45.0 135.0 1.23649E-01 6.40997E-03 3.25587E-02 3.89686E-02 3.88242E-03 0.263315
2 7 80.0 90.0 90.0 1.28563E-01 6.59794E-03 3.48575E-02 4.14554E-02 3.99627E-03 0.271133
1 1 87.5 0.0 180.0 1.85509E-01 5.17111E-03 5.46602E-02 5.98313E-02 3.13206E-03 0.294649
1 4 87.5 45.0 135.0 1.83288E-01 4.97122E-03 5.83344E-02 6.33056E-02 3.01099E-03 0.318267
1 7 87.5 90.0 90.0 1.82947E-01 5.64783E-03 6.14879E-02 6.71357E-02 3.42080E-03 0.336097
Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 500.0 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 6.839E-02 4.721E-01 1.227E-01 1.250E-01 1.339E-01 4.142E-02 1.078E+00 7.047E-03 4.268E-03
1 0.00 0.00 1.307E-02 6.634E+00 2.655E-02 2.960E-02 3.361E-02 8.004E-03 4.214E+00
3 8.68 10.00 4.756E-03 6.451E-01 1.908E-02 2.306E-02 2.919E-02 8.499E-03 5.380E+00
5 17.36 20.00 1.395E-03 1.190E-01 7.425E-03 8.425E-03 9.688E-03 8.622E-03 5.787E+00
Waveband 8 of 20 completed in 4.9 sec.
* * * * * Output for wavelength band 9 (510.0 to 530.0 nm; nominal wavelength = 520.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
The infinitely deep bottom boundary condition is applied at 43.1 m at 520.0 nm
RADTRANX clear-sky spectral irradiances averaged over the band from 510.0 nm to 530.0 nm:
Ed(diffuse) = 4.156E-01 Ed(direct) = 1.173E+00 Ed(total) = 1.589E+00
Absorption Coefficients of Individual Components at 520.0 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 0.0409 0.0354 0.0000 0.0058 0.0821
3 8.719 10.000 0.0409 0.0354 0.0000 0.0058 0.0821
5 17.438 20.000 0.0409 0.0354 0.0000 0.0058 0.0821
Scattering Coefficients of Individual Components at 520.0 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 0.0024 0.2757 0.5116 0.0000 0.7898
3 8.719 10.000 0.0024 0.2757 0.5116 0.0000 0.7898
5 17.438 20.000 0.0024 0.2757 0.5116 0.0000 0.7898
Backscattering Coefficients of Individual Components at 520.0 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 0.00122 0.00387 0.00090 0.00000 0.00599
3 8.719 10.000 0.00122 0.00387 0.00090 0.00000 0.00599
5 17.438 20.000 0.00122 0.00387 0.00090 0.00000 0.00599
Summary of Inherent Optical Properties at 520.0 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 0.0821 0.7898 0.8719 0.9058 0.00599 0.00758
3 8.719 10.000 0.0821 0.7898 0.8719 0.9058 0.00599 0.00758
5 17.438 20.000 0.0821 0.7898 0.8719 0.9058 0.00599 0.00758
The shape of the asymptotic radiance distribution is given by
u theta Linf(theta)
10 0.00 1.0000E+00
9 10.00 9.5779E-01
8 20.00 8.5220E-01
7 30.00 7.0574E-01
6 40.00 5.4736E-01
5 50.00 4.0117E-01
4 60.00 2.8113E-01
3 70.00 1.9107E-01
2 80.00 1.2851E-01
1 87.50 9.4285E-02
1 92.50 7.4571E-02
2 100.00 5.5232E-02
3 110.00 3.8747E-02
4 120.00 2.8179E-02
5 130.00 2.1544E-02
6 140.00 1.7404E-02
7 150.00 1.4848E-02
8 160.00 1.3326E-02
9 170.00 1.2518E-02
10 180.00 1.2239E-02
Asymptotic AOP values are
MUu(inf) = 0.3483
MUd(inf) = 0.6866
MU(inf) = 0.5984
R(inf) = 0.0473
Lu(inf)/Ed(inf) = 0.007793 (1/sr)
k(inf) = 0.1372 (1/m)
absorp(check) = 0.0821 = k(inf)*MU(inf)
Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 520.0 nm
iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed
in air 1.6349E-01 1.9653E+00 2.1288E+00 6.8333E-02 1.5885E+00 0.4180 0.8083 0.7141 4.3016E-02
1 0.00 0.00 1.1166E-01 1.7137E+00 1.8254E+00 4.8347E-02 1.5686E+00 0.4330 0.9153 0.8328 3.0822E-02
3 8.72 10.00 5.8676E-02 6.8598E-01 7.4465E-01 2.1658E-02 5.1337E-01 0.3691 0.7484 0.6603 4.2187E-02
5 17.44 20.00 1.8386E-02 2.0085E-01 2.1923E-01 6.5107E-03 1.4114E-01 0.3541 0.7027 0.6141 4.6128E-02
K-functions (units of 1/meter) at 520.0 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 0.04332 0.07415 0.07227 0.04640 0.09648 0.09808 0.08539
10.000 10.010 10.005 0.10003 0.11231 0.11134 0.10738 0.12321 0.12390 0.12023
20.000 20.010 20.005 0.12691 0.13005 0.12978 0.12894 0.13317 0.13337 0.13264
Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 520.0 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 4.40127E-01 6.13440E-03 5.94347E-02 6.55691E-02 3.86165E-03 0.135040
9 1 10.0 0.0 180.0 1.92963E-01 6.20135E-03 2.59024E-02 3.21038E-02 3.90380E-03 0.134235
9 4 10.0 45.0 135.0 2.15681E-01 6.19069E-03 2.98158E-02 3.60065E-02 3.89709E-03 0.138240
9 7 10.0 90.0 90.0 3.01231E-01 6.21440E-03 4.50218E-02 5.12362E-02 3.91202E-03 0.149459
8 1 20.0 0.0 180.0 1.15357E-01 6.27485E-03 8.38580E-03 1.46606E-02 3.95007E-03 0.072694
8 4 20.0 45.0 135.0 1.28725E-01 6.24059E-03 1.08202E-02 1.70608E-02 3.92850E-03 0.084057
8 7 20.0 90.0 90.0 1.80901E-01 6.29498E-03 2.18606E-02 2.81556E-02 3.96274E-03 0.120843
7 1 30.0 0.0 180.0 8.12797E-02 6.39978E-03 2.80950E-03 9.20928E-03 4.02871E-03 0.034566
7 4 30.0 45.0 135.0 8.87618E-02 6.43253E-03 3.56238E-03 9.99491E-03 4.04933E-03 0.040134
7 7 30.0 90.0 90.0 1.16681E-01 6.48060E-03 7.39715E-03 1.38778E-02 4.07959E-03 0.063396
6 1 40.0 0.0 180.0 6.67687E-02 6.54278E-03 1.95600E-03 8.49878E-03 4.11873E-03 0.029295
6 4 40.0 45.0 135.0 7.14881E-02 6.58280E-03 2.14912E-03 8.73192E-03 4.14393E-03 0.030063
6 7 40.0 90.0 90.0 8.77576E-02 6.66908E-03 3.10814E-03 9.77722E-03 4.19824E-03 0.035417
5 1 50.0 0.0 180.0 6.18428E-02 6.73378E-03 2.49984E-03 9.23361E-03 4.23897E-03 0.040422
5 4 50.0 45.0 135.0 6.53169E-02 6.74892E-03 2.63717E-03 9.38609E-03 4.24850E-03 0.040375
5 7 50.0 90.0 90.0 7.64767E-02 6.86587E-03 3.12989E-03 9.99576E-03 4.32212E-03 0.040926
4 1 60.0 0.0 180.0 6.41450E-02 6.74773E-03 4.92335E-03 1.16711E-02 4.24775E-03 0.076753
4 4 60.0 45.0 135.0 6.69188E-02 6.76153E-03 5.07608E-03 1.18376E-02 4.25644E-03 0.075854
4 7 60.0 90.0 90.0 7.57123E-02 6.97558E-03 5.68974E-03 1.26653E-02 4.39119E-03 0.075150
3 1 70.0 0.0 180.0 7.69282E-02 6.37618E-03 1.23105E-02 1.86867E-02 4.01386E-03 0.160025
3 4 70.0 45.0 135.0 7.89615E-02 6.46128E-03 1.26038E-02 1.90651E-02 4.06743E-03 0.159619
3 7 70.0 90.0 90.0 8.61143E-02 6.66729E-03 1.37107E-02 2.03780E-02 4.19712E-03 0.159215
2 1 80.0 0.0 180.0 1.14719E-01 5.54780E-03 2.92444E-02 3.47922E-02 3.49238E-03 0.254922
2 4 80.0 45.0 135.0 1.15272E-01 5.60924E-03 3.03529E-02 3.59621E-02 3.53106E-03 0.263315
2 7 80.0 90.0 90.0 1.19853E-01 5.78345E-03 3.24960E-02 3.82794E-02 3.64073E-03 0.271133
1 1 87.5 0.0 180.0 1.72942E-01 4.52810E-03 5.09571E-02 5.54852E-02 2.85048E-03 0.294649
1 4 87.5 45.0 135.0 1.70870E-01 4.35605E-03 5.43824E-02 5.87385E-02 2.74217E-03 0.318267
1 7 87.5 90.0 90.0 1.70553E-01 4.95851E-03 5.73223E-02 6.22808E-02 3.12142E-03 0.336097
Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 520.0 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 6.557E-02 4.401E-01 1.142E-01 1.164E-01 1.246E-01 4.128E-02 1.042E+00 6.134E-03 3.862E-03
1 0.00 0.00 1.137E-02 6.424E+00 2.347E-02 2.629E-02 3.003E-02 7.251E-03 4.251E+00
3 8.72 10.00 3.968E-03 5.983E-01 1.651E-02 2.007E-02 2.555E-02 7.730E-03 5.458E+00
5 17.44 20.00 1.108E-03 1.052E-01 6.138E-03 6.985E-03 8.056E-03 7.850E-03 5.876E+00
Waveband 9 of 20 completed in 5.0 sec.
* * * * * Output for wavelength band 10 (530.0 to 550.0 nm; nominal wavelength = 540.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
The infinitely deep bottom boundary condition is applied at 43.1 m at 540.0 nm
RADTRANX clear-sky spectral irradiances averaged over the band from 530.0 nm to 550.0 nm:
Ed(diffuse) = 4.104E-01 Ed(direct) = 1.202E+00 Ed(total) = 1.612E+00
Absorption Coefficients of Individual Components at 540.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total
(m) (1/m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0474 0.0272 0.0000 0.0044 0.0789
3 8.684 10.000 0.0474 0.0272 0.0000 0.0044 0.0789
5 17.367 20.000 0.0474 0.0272 0.0000 0.0044 0.0789
Scattering Coefficients of Individual Components at 540.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total
(m) (1/m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0021 0.2757 0.5116 0.0000 0.7894
3 8.684 10.000 0.0021 0.2757 0.5116 0.0000 0.7894
5 17.367 20.000 0.0021 0.2757 0.5116 0.0000 0.7894
Backscattering Coefficients of Individual Components at 540.0 nm
(computed from the scattering coefficients and the phase functions)
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total
(m) (1/m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.00104 0.00387 0.00090 0.00000 0.00580
3 8.684 10.000 0.00104 0.00387 0.00090 0.00000 0.00580
5 17.367 20.000 0.00104 0.00387 0.00090 0.00000 0.00580
Summary of Inherent Optical Properties at 540.0 nm
iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0789 0.7894 0.8684 0.9091 0.00580 0.00735
3 8.684 10.000 0.0789 0.7894 0.8684 0.9091 0.00580 0.00735
5 17.367 20.000 0.0789 0.7894 0.8684 0.9091 0.00580 0.00735
The shape of the asymptotic radiance distribution is given by
u theta Linf(theta)
10 0.00 1.0000E+00
9 10.00 9.5864E-01
8 20.00 8.5499E-01
7 30.00 7.1071E-01
6 40.00 5.5394E-01
5 50.00 4.0835E-01
4 60.00 2.8795E-01
3 70.00 1.9693E-01
2 80.00 1.3321E-01
1 87.50 9.8089E-02
1 92.50 7.7741E-02
2 100.00 5.7699E-02
3 110.00 4.0529E-02
4 120.00 2.9459E-02
5 130.00 2.2475E-02
6 140.00 1.8101E-02
7 150.00 1.5393E-02
8 160.00 1.3776E-02
9 170.00 1.2915E-02
10 180.00 1.2618E-02
Asymptotic AOP values are
MUu(inf) = 0.3478
MUd(inf) = 0.6839
MU(inf) = 0.5937
R(inf) = 0.0487
Lu(inf)/Ed(inf) = 0.007948 (1/sr)
k(inf) = 0.1329 (1/m)
absorp(check) = 0.0789 = k(inf)*MU(inf)
Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 540.0 nm
iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed
in air 1.6442E-01 1.9852E+00 2.1496E+00 6.9392E-02 1.6123E+00 0.4221 0.8121 0.7177 4.3040E-02
1 0.00 0.00 1.1574E-01 1.7402E+00 1.8560E+00 5.0119E-02 1.5930E+00 0.4330 0.9154 0.8313 3.1462E-02
3 8.68 10.00 6.3810E-02 7.2709E-01 7.9090E-01 2.3553E-02 5.4313E-01 0.3691 0.7470 0.6569 4.3365E-02
5 17.37 20.00 2.0947E-02 2.2257E-01 2.4352E-01 7.4138E-03 1.5589E-01 0.3539 0.7004 0.6097 4.7557E-02
K-functions (units of 1/meter) at 540.0 nm (these are accurate local values only when zupper and zlower are closely spaced)
zupper zlower z Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z)
0.000 0.010 0.005 0.04042 0.07104 0.06913 0.04236 0.09280 0.09444 0.08100
10.000 10.010 10.005 0.09520 0.10782 0.10680 0.10263 0.11894 0.11968 0.11569
20.000 20.010 20.005 0.12239 0.12564 0.12536 0.12446 0.12885 0.12907 0.12823
Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 540.0 nm
[(Theta,Phi) are the directions of photon travel.
Theta is measured from 0 at the zenith.
Solar photons travel in the Phi = 180 direction (the sun is located at Phi = 0).
(Thus Phi = 45 represents the 135 degree viewing angle for minimizing sun glitter.)]
I J Theta Phi Phi-view L(sky) L(water-lv) L(refl-sky) L(total up) Rrs rho
(zenith) (Lrefl/Lsky)
10 1 0.0 0.0 0.0 4.34659E-01 6.32427E-03 6.06785E-02 6.70028E-02 3.92253E-03 0.139600
9 1 10.0 0.0 180.0 1.90566E-01 6.38930E-03 2.63840E-02 3.27733E-02 3.96286E-03 0.138451
9 4 10.0 45.0 135.0 2.13005E-01 6.38016E-03 3.03830E-02 3.67631E-02 3.95720E-03 0.142640
9 7 10.0 90.0 90.0 2.97471E-01 6.40915E-03 4.59325E-02 5.23416E-02 3.97517E-03 0.154410
8 1 20.0 0.0 180.0 1.13924E-01 6.46595E-03 8.48533E-03 1.49513E-02 4.01040E-03 0.074482
8 4 20.0 45.0 135.0 1.27126E-01 6.43367E-03 1.09684E-02 1.74021E-02 3.99038E-03 0.086280
8 7 20.0 90.0 90.0 1.78654E-01 6.49720E-03 2.22457E-02 2.87429E-02 4.02979E-03 0.124519
7 1 30.0 0.0 180.0 8.02700E-02 6.59727E-03 2.80031E-03 9.39758E-03 4.09185E-03 0.034886
7 4 30.0 45.0 135.0 8.76591E-02 6.63522E-03 3.56381E-03 1.01990E-02 4.11539E-03 0.040655
7 7 30.0 90.0 90.0 1.15232E-01 6.69514E-03 7.46529E-03 1.41604E-02 4.15255E-03 0.064785
6 1 40.0 0.0 180.0 6.59392E-02 6.75042E-03 1.93302E-03 8.68344E-03 4.18684E-03 0.029315
6 4 40.0 45.0 135.0 7.06000E-02 6.79724E-03 2.12538E-03 8.92263E-03 4.21588E-03 0.030105
6 7 40.0 90.0 90.0 8.66674E-02 6.90008E-03 3.08779E-03 9.98787E-03 4.27967E-03 0.035628
5 1 50.0 0.0 180.0 6.10746E-02 6.95295E-03 2.46895E-03 9.42190E-03 4.31246E-03 0.040425
5 4 50.0 45.0 135.0 6.45055E-02 6.97512E-03 2.60441E-03 9.57953E-03 4.32621E-03 0.040375
5 7 50.0 90.0 90.0 7.55267E-02 7.11224E-03 3.09184E-03 1.02041E-02 4.41125E-03 0.040937
4 1 60.0 0.0 180.0 6.33482E-02 6.97249E-03 4.86219E-03 1.18347E-02 4.32457E-03 0.076753
4 4 60.0 45.0 135.0 6.60875E-02 6.99399E-03 5.01302E-03 1.20070E-02 4.33791E-03 0.075854
4 7 60.0 90.0 90.0 7.47717E-02 7.23362E-03 5.61906E-03 1.28527E-02 4.48654E-03 0.075150
3 1 70.0 0.0 180.0 7.59726E-02 6.59252E-03 1.21575E-02 1.87501E-02 4.08891E-03 0.160025
3 4 70.0 45.0 135.0 7.79806E-02 6.68788E-03 1.24472E-02 1.91351E-02 4.14805E-03 0.159619
3 7 70.0 90.0 90.0 8.50446E-02 6.91970E-03 1.35404E-02 2.04601E-02 4.29183E-03 0.159215
2 1 80.0 0.0 180.0 1.13294E-01 5.73842E-03 2.88811E-02 3.46195E-02 3.55916E-03 0.254922
2 4 80.0 45.0 135.0 1.13840E-01 5.80867E-03 2.99759E-02 3.57845E-02 3.60274E-03 0.263315
2 7 80.0 90.0 90.0 1.18364E-01 6.00578E-03 3.20923E-02 3.80981E-02 3.72499E-03 0.271133
1 1 87.5 0.0 180.0 1.70793E-01 4.68455E-03 5.03241E-02 5.50086E-02 2.90552E-03 0.294649
1 4 87.5 45.0 135.0 1.68748E-01 4.51185E-03 5.37068E-02 5.82187E-02 2.79841E-03 0.318267
1 7 87.5 90.0 90.0 1.68434E-01 5.15040E-03 5.66102E-02 6.17606E-02 3.19446E-03 0.336097
Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 540.0 nm
[Here (theta,phi) are directions of photon travel relative to nadir (solar photons travel along phi=180).]
iz zeta z Lu(z) Ld(z) Lh(z,phi=0) Lh(z,phi=90) Lh(z,phi=180) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed
(m) (theta=180) (theta=0) (theta=90) (theta=90) (theta=90) (1/sr) (sr) (theta=180) (1/sr)
in air 6.700E-02 4.347E-01 1.129E-01 1.151E-01 1.232E-01 4.156E-02 1.036E+00 6.324E-03 3.923E-03
1 0.00 0.00 1.173E-02 6.555E+00 2.422E-02 2.721E-02 3.118E-02 7.361E-03 4.274E+00
3 8.68 10.00 4.281E-03 6.320E-01 1.783E-02 2.173E-02 2.773E-02 7.883E-03 5.501E+00
5 17.37 20.00 1.250E-03 1.153E-01 6.956E-03 7.932E-03 9.165E-03 8.018E-03 5.931E+00
Waveband 10 of 20 completed in 4.9 sec.
* * * * * Output for wavelength band 11 (550.0 to 570.0 nm; nominal wavelength = 560.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
The infinitely deep bottom boundary condition is applied at 42.9 m at 560.0 nm
RADTRANX clear-sky spectral irradiances averaged over the band from 550.0 nm to 570.0 nm:
Ed(diffuse) = 3.936E-01 Ed(direct) = 1.190E+00 Ed(total) = 1.584E+00
Absorption Coefficients of Individual Components at 560.0 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 0.0619 0.0202 0.0000 0.0033 0.0853
3 8.745 10.000 0.0619 0.0202 0.0000 0.0033 0.0853
5 17.490 20.000 0.0619 0.0202 0.0000 0.0033 0.0853
Scattering Coefficients of Individual Components at 560.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total
(m) (1/m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0018 0.2757 0.5116 0.0000 0.7891
3 8.745 10.000 0.0018 0.2757 0.5116 0.0000 0.7891
5 17.490 20.000 0.0018 0.2757 0.5116 0.0000 0.7891
Backscattering Coefficients of Individual Components at 560.0 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 0.00089 0.00387 0.00090 0.00000 0.00565
3 8.745 10.000 0.00089 0.00387 0.00090 0.00000 0.00565
5 17.490 20.000 0.00089 0.00387 0.00090 0.00000 0.00565
Summary of Inherent Optical Properties at 560.0 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 0.0853 0.7891 0.8745 0.9024 0.00565 0.00716
3 8.745 10.000 0.0853 0.7891 0.8745 0.9024 0.00565 0.00716
5 17.490 20.000 0.0853 0.7891 0.8745 0.9024 0.00565 0.00716
The shape of the asymptotic radiance distribution is given by
u theta Linf(theta)
10 0.00 1.0000E+00
9 10.00 9.5692E-01
8 20.00 8.4933E-01
7 30.00 7.0057E-01
6 40.00 5.4045E-01
5 50.00 3.9352E-01
4 60.00 2.7368E-01
3 70.00 1.8446E-01
2 80.00 1.2297E-01
1 87.50 8.9594E-02
1 92.50 7.0482E-02
2 100.00 5.1822E-02
3 110.00 3.6018E-02
4 120.00 2.5957E-02
5 130.00 1.9681E-02
6 140.00 1.5788E-02
7 150.00 1.3395E-02
8 160.00 1.1976E-02
9 170.00 1.1223E-02
10 180.00 1.0964E-02
Asymptotic AOP values are
MUu(inf) = 0.3443
MUd(inf) = 0.6900
MU(inf) = 0.6063
R(inf) = 0.0439
Lu(inf)/Ed(inf) = 0.007064 (1/sr)
k(inf) = 0.1408 (1/m)
absorp(check) = 0.0853 = k(inf)*MU(inf)
Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 560.0 nm
iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed
in air 1.5489E-01 1.9419E+00 2.0968E+00 6.5439E-02 1.5836E+00 0.4225 0.8155 0.7240 4.1324E-02
1 0.00 0.00 1.0197E-01 1.6989E+00 1.8009E+00 4.3897E-02 1.5620E+00 0.4305 0.9194 0.8430 2.8102E-02
3 8.74 10.00 5.3100E-02 6.5935E-01 7.1245E-01 1.9407E-02 4.9569E-01 0.3655 0.7518 0.6685 3.9151E-02
5 17.49 20.00 1.6171E-02 1.8659E-01 2.0276E-01 5.6698E-03 1.3172E-01 0.3506 0.7060 0.6217 4.3043E-02
K-functions (units of 1/meter) at 560.0 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 0.03948 0.07562 0.07357 0.04534 0.09924 0.10080 0.08656
10.000 10.010 10.005 0.10238 0.11561 0.11463 0.10980 0.12651 0.12719 0.12286
20.000 20.010 20.005 0.13006 0.13351 0.13323 0.13209 0.13663 0.13683 0.13579
Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 560.0 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 4.16831E-01 5.49712E-03 5.98954E-02 6.53925E-02 3.47131E-03 0.143692
9 1 10.0 0.0 180.0 1.82750E-01 5.55419E-03 2.59932E-02 3.15474E-02 3.50734E-03 0.142234
9 4 10.0 45.0 135.0 2.04271E-01 5.54594E-03 2.99437E-02 3.54896E-02 3.50214E-03 0.146588
9 7 10.0 90.0 90.0 2.85254E-01 5.57074E-03 4.53135E-02 5.08842E-02 3.51780E-03 0.158853
8 1 20.0 0.0 180.0 1.09251E-01 5.62101E-03 8.31259E-03 1.39336E-02 3.54954E-03 0.076087
8 4 20.0 45.0 135.0 1.21912E-01 5.59261E-03 1.07617E-02 1.63543E-02 3.53161E-03 0.088275
8 7 20.0 90.0 90.0 1.71326E-01 5.64737E-03 2.18984E-02 2.75458E-02 3.56619E-03 0.127817
7 1 30.0 0.0 180.0 7.69776E-02 5.73553E-03 2.70758E-03 8.44311E-03 3.62186E-03 0.035174
7 4 30.0 45.0 135.0 8.40636E-02 5.76822E-03 3.45696E-03 9.22518E-03 3.64250E-03 0.041123
7 7 30.0 90.0 90.0 1.10505E-01 5.81994E-03 7.29681E-03 1.31167E-02 3.67516E-03 0.066031
6 1 40.0 0.0 180.0 6.32346E-02 5.87003E-03 1.85486E-03 7.72489E-03 3.70679E-03 0.029333
6 4 40.0 45.0 135.0 6.77042E-02 5.91058E-03 2.04075E-03 7.95134E-03 3.73240E-03 0.030142
6 7 40.0 90.0 90.0 8.31126E-02 6.00013E-03 2.97685E-03 8.97698E-03 3.78895E-03 0.035817
5 1 50.0 0.0 180.0 5.85695E-02 6.04914E-03 2.36782E-03 8.41696E-03 3.81990E-03 0.040428
5 4 50.0 45.0 135.0 6.18597E-02 6.06854E-03 2.49759E-03 8.56613E-03 3.83215E-03 0.040375
5 7 50.0 90.0 90.0 7.24288E-02 6.18895E-03 2.96574E-03 9.15469E-03 3.90818E-03 0.040947
4 1 60.0 0.0 180.0 6.07498E-02 6.07004E-03 4.66276E-03 1.07328E-02 3.83310E-03 0.076753
4 4 60.0 45.0 135.0 6.33768E-02 6.08922E-03 4.80740E-03 1.08966E-02 3.84521E-03 0.075854
4 7 60.0 90.0 90.0 7.17048E-02 6.30010E-03 5.38858E-03 1.16887E-02 3.97837E-03 0.075150
3 1 70.0 0.0 180.0 7.28564E-02 5.74549E-03 1.16589E-02 1.74044E-02 3.62815E-03 0.160025
3 4 70.0 45.0 135.0 7.47820E-02 5.82953E-03 1.19367E-02 1.77662E-02 3.68122E-03 0.159619
3 7 70.0 90.0 90.0 8.15563E-02 6.03534E-03 1.29850E-02 1.90203E-02 3.81118E-03 0.159215
2 1 80.0 0.0 180.0 1.08647E-01 5.00693E-03 2.76965E-02 3.27034E-02 3.16177E-03 0.254922
2 4 80.0 45.0 135.0 1.09171E-01 5.06954E-03 2.87463E-02 3.38159E-02 3.20130E-03 0.263315
2 7 80.0 90.0 90.0 1.13509E-01 5.24589E-03 3.07760E-02 3.60219E-02 3.31266E-03 0.271133
1 1 87.5 0.0 180.0 1.63788E-01 4.09314E-03 4.82599E-02 5.23531E-02 2.58473E-03 0.294649
1 4 87.5 45.0 135.0 1.61826E-01 3.94351E-03 5.15039E-02 5.54475E-02 2.49024E-03 0.318267
1 7 87.5 90.0 90.0 1.61526E-01 4.50661E-03 5.42882E-02 5.87948E-02 2.84583E-03 0.336097
Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 560.0 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 6.539E-02 4.168E-01 1.081E-01 1.102E-01 1.180E-01 4.129E-02 1.001E+00 5.497E-03 3.471E-03
1 0.00 0.00 1.019E-02 6.467E+00 2.142E-02 2.417E-02 2.786E-02 6.525E-03 4.307E+00
3 8.74 10.00 3.484E-03 5.842E-01 1.511E-02 1.850E-02 2.374E-02 7.029E-03 5.570E+00
5 17.49 20.00 9.448E-04 9.925E-02 5.475E-03 6.256E-03 7.246E-03 7.173E-03 6.001E+00
Waveband 11 of 20 completed in 5.0 sec.
* * * * * Output for wavelength band 12 (570.0 to 590.0 nm; nominal wavelength = 580.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
The infinitely deep bottom boundary condition is applied at 42.3 m at 580.0 nm
RADTRANX clear-sky spectral irradiances averaged over the band from 570.0 nm to 590.0 nm:
Ed(diffuse) = 3.785E-01 Ed(direct) = 1.177E+00 Ed(total) = 1.555E+00
Absorption Coefficients of Individual Components at 580.0 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 0.0896 0.0175 0.0000 0.0025 0.1096
3 8.985 10.000 0.0896 0.0175 0.0000 0.0025 0.1096
5 17.970 20.000 0.0896 0.0175 0.0000 0.0025 0.1096
Scattering Coefficients of Individual Components at 580.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total
(m) (1/m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0015 0.2757 0.5116 0.0000 0.7889
3 8.985 10.000 0.0015 0.2757 0.5116 0.0000 0.7889
5 17.970 20.000 0.0015 0.2757 0.5116 0.0000 0.7889
Backscattering Coefficients of Individual Components at 580.0 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 0.00076 0.00387 0.00090 0.00000 0.00553
3 8.985 10.000 0.00076 0.00387 0.00090 0.00000 0.00553
5 17.970 20.000 0.00076 0.00387 0.00090 0.00000 0.00553
Summary of Inherent Optical Properties at 580.0 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 0.1096 0.7889 0.8985 0.8780 0.00553 0.00701
3 8.985 10.000 0.1096 0.7889 0.8985 0.8780 0.00553 0.00701
5 17.970 20.000 0.1096 0.7889 0.8985 0.8780 0.00553 0.00701
The shape of the asymptotic radiance distribution is given by
u theta Linf(theta)
10 0.00 1.0000E+00
9 10.00 9.5091E-01
8 20.00 8.2978E-01
7 30.00 6.6619E-01
6 40.00 4.9593E-01
5 50.00 3.4615E-01
4 60.00 2.2979E-01
3 70.00 1.4759E-01
2 80.00 9.3926E-02
1 87.50 6.6240E-02
1 92.50 5.1005E-02
2 100.00 3.6543E-02
3 110.00 2.4726E-02
4 120.00 1.7495E-02
5 130.00 1.3137E-02
6 140.00 1.0508E-02
7 150.00 8.9287E-03
8 160.00 8.0069E-03
9 170.00 7.5240E-03
10 180.00 7.3583E-03
Asymptotic AOP values are
MUu(inf) = 0.3371
MUd(inf) = 0.7097
MU(inf) = 0.6433
R(inf) = 0.0322
Lu(inf)/Ed(inf) = 0.005114 (1/sr)
k(inf) = 0.1704 (1/m)
absorp(check) = 0.1096 = k(inf)*MU(inf)
Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 580.0 nm
iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed
in air 1.4052E-01 1.9006E+00 2.0411E+00 5.8888E-02 1.5553E+00 0.4191 0.8183 0.7332 3.7863E-02
1 0.00 0.00 7.4169E-02 1.6467E+00 1.7209E+00 3.1467E-02 1.5279E+00 0.4243 0.9278 0.8695 2.0595E-02
3 8.99 10.00 2.9881E-02 4.7980E-01 5.0968E-01 1.0686E-02 3.6743E-01 0.3576 0.7658 0.6999 2.9083E-02
5 17.97 20.00 6.7918E-03 1.0060E-01 1.0739E-01 2.3390E-03 7.2782E-02 0.3444 0.7235 0.6559 3.2137E-02
K-functions (units of 1/meter) at 580.0 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 0.04407 0.09627 0.09402 0.06240 0.12439 0.12569 0.11048
10.000 10.010 10.005 0.13142 0.14555 0.14472 0.13846 0.15553 0.15604 0.15077
20.000 20.010 20.005 0.15932 0.16340 0.16314 0.16098 0.16617 0.16634 0.16387
Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 580.0 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 4.00857E-01 3.91178E-03 5.90770E-02 6.29888E-02 2.51512E-03 0.147377
9 1 10.0 0.0 180.0 1.75747E-01 3.95686E-03 2.55957E-02 2.95525E-02 2.54411E-03 0.145640
9 4 10.0 45.0 135.0 1.96445E-01 3.94865E-03 2.94948E-02 3.34434E-02 2.53883E-03 0.150143
9 7 10.0 90.0 90.0 2.74310E-01 3.96116E-03 4.46723E-02 4.86334E-02 2.54687E-03 0.162853
8 1 20.0 0.0 180.0 1.05064E-01 4.00309E-03 8.14582E-03 1.21489E-02 2.57383E-03 0.077532
8 4 20.0 45.0 135.0 1.17240E-01 3.97933E-03 1.05599E-02 1.45392E-02 2.55855E-03 0.090071
8 7 20.0 90.0 90.0 1.64760E-01 4.01019E-03 2.15485E-02 2.55587E-02 2.57840E-03 0.130787
7 1 30.0 0.0 180.0 7.40277E-02 4.08168E-03 2.62298E-03 6.70466E-03 2.62436E-03 0.035432
7 4 30.0 45.0 135.0 8.08422E-02 4.10034E-03 3.35853E-03 7.45886E-03 2.63636E-03 0.041544
7 7 30.0 90.0 90.0 1.06271E-01 4.12628E-03 7.13643E-03 1.12627E-02 2.65303E-03 0.067153
6 1 40.0 0.0 180.0 6.08114E-02 4.17224E-03 1.78476E-03 5.95699E-03 2.68258E-03 0.029349
6 4 40.0 45.0 135.0 6.51097E-02 4.19531E-03 1.96476E-03 6.16006E-03 2.69742E-03 0.030176
6 7 40.0 90.0 90.0 7.99276E-02 4.24537E-03 2.87638E-03 7.12175E-03 2.72961E-03 0.035987
5 1 50.0 0.0 180.0 5.63250E-02 4.29722E-03 2.27720E-03 6.57443E-03 2.76295E-03 0.040430
5 4 50.0 45.0 135.0 5.94892E-02 4.30471E-03 2.40188E-03 6.70659E-03 2.76776E-03 0.040375
5 7 50.0 90.0 90.0 6.96532E-02 4.37565E-03 2.85272E-03 7.22837E-03 2.81337E-03 0.040956
4 1 60.0 0.0 180.0 5.84219E-02 4.31161E-03 4.48407E-03 8.79569E-03 2.77220E-03 0.076753
4 4 60.0 45.0 135.0 6.09481E-02 4.31877E-03 4.62318E-03 8.94195E-03 2.77680E-03 0.075854
4 7 60.0 90.0 90.0 6.89570E-02 4.45372E-03 5.18209E-03 9.63581E-03 2.86357E-03 0.075150
3 1 70.0 0.0 180.0 7.00645E-02 4.08576E-03 1.12121E-02 1.52979E-02 2.62698E-03 0.160025
3 4 70.0 45.0 135.0 7.19163E-02 4.13970E-03 1.14792E-02 1.56189E-02 2.66167E-03 0.159619
3 7 70.0 90.0 90.0 7.84310E-02 4.27324E-03 1.24874E-02 1.67606E-02 2.74753E-03 0.159215
2 1 80.0 0.0 180.0 1.04483E-01 3.56664E-03 2.66351E-02 3.02017E-02 2.29321E-03 0.254922
2 4 80.0 45.0 135.0 1.04987E-01 3.60668E-03 2.76448E-02 3.12514E-02 2.31896E-03 0.263315
2 7 80.0 90.0 90.0 1.09159E-01 3.72242E-03 2.95966E-02 3.33190E-02 2.39337E-03 0.271133
1 1 87.5 0.0 180.0 1.57511E-01 2.92376E-03 4.64106E-02 4.93343E-02 1.87986E-03 0.294649
1 4 87.5 45.0 135.0 1.55625E-01 2.81369E-03 4.95303E-02 5.23440E-02 1.80909E-03 0.318267
1 7 87.5 90.0 90.0 1.55336E-01 3.20901E-03 5.22078E-02 5.54168E-02 2.06327E-03 0.336097
Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 580.0 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 6.299E-02 4.009E-01 1.034E-01 1.054E-01 1.128E-01 4.050E-02 9.349E-01 3.912E-03 2.515E-03
1 0.00 0.00 7.254E-03 6.377E+00 1.587E-02 1.800E-02 2.095E-02 4.747E-03 4.338E+00
3 8.99 10.00 1.900E-03 4.487E-01 8.966E-03 1.105E-02 1.430E-02 5.170E-03 5.625E+00
5 17.97 20.00 3.891E-04 5.816E-02 2.418E-03 2.766E-03 3.208E-03 5.346E-03 6.011E+00
Waveband 12 of 20 completed in 5.2 sec.
* * * * * Output for wavelength band 13 (590.0 to 610.0 nm; nominal wavelength = 600.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
The infinitely deep bottom boundary condition is applied at 39.4 m at 600.0 nm
RADTRANX clear-sky spectral irradiances averaged over the band from 590.0 nm to 610.0 nm:
Ed(diffuse) = 3.584E-01 Ed(direct) = 1.142E+00 Ed(total) = 1.501E+00
Absorption Coefficients of Individual Components at 600.0 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 0.2224 0.0166 0.0000 0.0019 0.2409
3 10.296 10.000 0.2224 0.0166 0.0000 0.0019 0.2409
5 20.592 20.000 0.2224 0.0166 0.0000 0.0019 0.2409
Scattering Coefficients of Individual Components at 600.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total
(m) (1/m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0013 0.2757 0.5116 0.0000 0.7887
3 10.296 10.000 0.0013 0.2757 0.5116 0.0000 0.7887
5 20.592 20.000 0.0013 0.2757 0.5116 0.0000 0.7887
Backscattering Coefficients of Individual Components at 600.0 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 0.00066 0.00387 0.00090 0.00000 0.00542
3 10.296 10.000 0.00066 0.00387 0.00090 0.00000 0.00542
5 20.592 20.000 0.00066 0.00387 0.00090 0.00000 0.00542
Summary of Inherent Optical Properties at 600.0 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 0.2409 0.7887 1.0296 0.7660 0.00542 0.00688
3 10.296 10.000 0.2409 0.7887 1.0296 0.7660 0.00542 0.00688
5 20.592 20.000 0.2409 0.7887 1.0296 0.7660 0.00542 0.00688
The shape of the asymptotic radiance distribution is given by
u theta Linf(theta)
10 0.00 1.0000E+00
9 10.00 9.2521E-01
8 20.00 7.5009E-01
7 30.00 5.3663E-01
6 40.00 3.4435E-01
5 50.00 2.0263E-01
4 60.00 1.1237E-01
3 70.00 6.0559E-02
2 80.00 3.2930E-02
1 87.50 2.1028E-02
1 92.50 1.5328E-02
2 100.00 1.0348E-02
3 110.00 6.6597E-03
4 120.00 4.6338E-03
5 130.00 3.5132E-03
6 140.00 2.8808E-03
7 150.00 2.5197E-03
8 160.00 2.3166E-03
9 170.00 2.2129E-03
10 180.00 2.1775E-03
Asymptotic AOP values are
MUu(inf) = 0.3305
MUd(inf) = 0.7754
MU(inf) = 0.7458
R(inf) = 0.0117
Lu(inf)/Ed(inf) = 0.002002 (1/sr)
k(inf) = 0.3230 (1/m)
absorp(check) = 0.2409 = k(inf)*MU(inf)
Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 600.0 nm
iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed
in air 1.1909E-01 1.8282E+00 1.9473E+00 4.8871E-02 1.5008E+00 0.4104 0.8209 0.7456 3.2564E-02
1 0.00 0.00 2.9600E-02 1.5541E+00 1.5837E+00 1.2136E-02 1.4640E+00 0.4100 0.9421 0.9168 8.2893E-03
3 10.30 10.00 2.8294E-03 9.9678E-02 1.0251E-01 1.0127E-03 8.0754E-02 0.3579 0.8101 0.7779 1.2541E-02
5 20.59 20.00 2.0617E-04 4.5511E-03 4.7573E-03 8.0938E-05 3.5310E-03 0.3926 0.7759 0.7252 2.2922E-02
K-functions (units of 1/meter) at 600.0 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 0.11955 0.22664 0.22464 0.18033 0.26179 0.26247 0.24321
10.000 10.010 10.005 0.27139 0.29997 0.29918 0.27052 0.30695 0.30741 0.26659
20.000 20.010 20.005 0.23789 0.31187 0.30866 0.22285 0.31513 0.31730 0.20092
Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 600.0 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 3.79535E-01 1.53773E-03 5.72200E-02 5.87577E-02 1.02462E-03 0.150763
9 1 10.0 0.0 180.0 1.66398E-01 1.56042E-03 2.47552E-02 2.63156E-02 1.03974E-03 0.148771
9 4 10.0 45.0 135.0 1.85998E-01 1.55411E-03 2.85340E-02 3.00881E-02 1.03554E-03 0.153410
9 7 10.0 90.0 90.0 2.59708E-01 1.55239E-03 4.32494E-02 4.48018E-02 1.03439E-03 0.166531
8 1 20.0 0.0 180.0 9.94760E-02 1.57487E-03 7.84464E-03 9.41951E-03 1.04937E-03 0.078860
8 4 20.0 45.0 135.0 1.11004E-01 1.56087E-03 1.01815E-02 1.17423E-02 1.04004E-03 0.091722
8 7 20.0 90.0 90.0 1.55997E-01 1.56222E-03 2.08282E-02 2.23904E-02 1.04094E-03 0.133517
7 1 30.0 0.0 180.0 7.00901E-02 1.59894E-03 2.50014E-03 4.09908E-03 1.06541E-03 0.035670
7 4 30.0 45.0 135.0 7.65421E-02 1.60014E-03 3.20951E-03 4.80966E-03 1.06621E-03 0.041931
7 7 30.0 90.0 90.0 1.00618E-01 1.59545E-03 6.86061E-03 8.45606E-03 1.06308E-03 0.068185
6 1 40.0 0.0 180.0 5.75768E-02 1.62154E-03 1.69068E-03 3.31222E-03 1.08047E-03 0.029364
6 4 40.0 45.0 135.0 6.16465E-02 1.62255E-03 1.86217E-03 3.48471E-03 1.08114E-03 0.030207
6 7 40.0 90.0 90.0 7.56762E-02 1.62235E-03 2.73523E-03 4.35757E-03 1.08100E-03 0.036144
5 1 50.0 0.0 180.0 5.33291E-02 1.65861E-03 2.15618E-03 3.81480E-03 1.10517E-03 0.040432
5 4 50.0 45.0 135.0 5.63249E-02 1.65228E-03 2.27412E-03 3.92640E-03 1.10095E-03 0.040375
5 7 50.0 90.0 90.0 6.59483E-02 1.65696E-03 2.70152E-03 4.35848E-03 1.10407E-03 0.040964
4 1 60.0 0.0 180.0 5.53143E-02 1.65394E-03 4.24556E-03 5.89950E-03 1.10205E-03 0.076753
4 4 60.0 45.0 135.0 5.77062E-02 1.64669E-03 4.37727E-03 6.02396E-03 1.09722E-03 0.075854
4 7 60.0 90.0 90.0 6.52891E-02 1.67360E-03 4.90645E-03 6.58005E-03 1.11516E-03 0.075150
3 1 70.0 0.0 180.0 6.63377E-02 1.56104E-03 1.06157E-02 1.21768E-02 1.04016E-03 0.160025
3 4 70.0 45.0 135.0 6.80910E-02 1.57191E-03 1.08686E-02 1.24406E-02 1.04740E-03 0.159619
3 7 70.0 90.0 90.0 7.42592E-02 1.59861E-03 1.18232E-02 1.34218E-02 1.06519E-03 0.159215
2 1 80.0 0.0 180.0 9.89256E-02 1.36036E-03 2.52184E-02 2.65787E-02 9.06438E-04 0.254922
2 4 80.0 45.0 135.0 9.94029E-02 1.36714E-03 2.61743E-02 2.75414E-02 9.10958E-04 0.263315
2 7 80.0 90.0 90.0 1.03353E-01 1.39033E-03 2.80223E-02 2.94127E-02 9.26409E-04 0.271133
1 1 87.5 0.0 180.0 1.49133E-01 1.11696E-03 4.39420E-02 4.50589E-02 7.44252E-04 0.294649
1 4 87.5 45.0 135.0 1.47347E-01 1.06850E-03 4.68957E-02 4.79642E-02 7.11963E-04 0.318267
1 7 87.5 90.0 90.0 1.47073E-01 1.20173E-03 4.94308E-02 5.06326E-02 8.00738E-04 0.336097
Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 600.0 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 5.876E-02 3.795E-01 9.710E-02 9.885E-02 1.059E-01 3.915E-02 8.317E-01 1.538E-03 1.025E-03
1 0.00 0.00 2.853E-03 6.174E+00 6.761E-03 7.733E-03 9.149E-03 1.949E-03 4.254E+00
3 10.30 10.00 2.021E-04 1.127E-01 9.248E-04 1.133E-03 1.461E-03 2.503E-03 5.010E+00
5 20.59 20.00 1.896E-05 3.495E-03 6.510E-05 7.157E-05 7.981E-05 5.370E-03 4.268E+00
Waveband 13 of 20 completed in 6.0 sec.
* * * * * Output for wavelength band 14 (610.0 to 630.0 nm; nominal wavelength = 620.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
The infinitely deep bottom boundary condition is applied at 38.5 m at 620.0 nm
RADTRANX clear-sky spectral irradiances averaged over the band from 610.0 nm to 630.0 nm:
Ed(diffuse) = 3.457E-01 Ed(direct) = 1.126E+00 Ed(total) = 1.472E+00
Absorption Coefficients of Individual Components at 620.0 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 0.2755 0.0182 0.0000 0.0014 0.2951
3 10.836 10.000 0.2755 0.0182 0.0000 0.0014 0.2951
5 21.672 20.000 0.2755 0.0182 0.0000 0.0014 0.2951
Scattering Coefficients of Individual Components at 620.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total
(m) (1/m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0011 0.2757 0.5116 0.0000 0.7885
3 10.836 10.000 0.0011 0.2757 0.5116 0.0000 0.7885
5 21.672 20.000 0.0011 0.2757 0.5116 0.0000 0.7885
Backscattering Coefficients of Individual Components at 620.0 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 0.00057 0.00387 0.00090 0.00000 0.00534
3 10.836 10.000 0.00057 0.00387 0.00090 0.00000 0.00534
5 21.672 20.000 0.00057 0.00387 0.00090 0.00000 0.00534
Summary of Inherent Optical Properties at 620.0 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 0.2951 0.7885 1.0836 0.7277 0.00534 0.00677
3 10.836 10.000 0.2951 0.7885 1.0836 0.7277 0.00534 0.00677
5 21.672 20.000 0.2951 0.7885 1.0836 0.7277 0.00534 0.00677
The shape of the asymptotic radiance distribution is given by
u theta Linf(theta)
10 0.00 1.0000E+00
9 10.00 9.1643E-01
8 20.00 7.2429E-01
7 30.00 4.9824E-01
6 40.00 3.0435E-01
5 50.00 1.6959E-01
4 60.00 8.9054E-02
3 70.00 4.5675E-02
2 80.00 2.3856E-02
1 87.50 1.4897E-02
1 92.50 1.0758E-02
2 100.00 7.1998E-03
3 110.00 4.6117E-03
4 120.00 3.2182E-03
5 130.00 2.4585E-03
6 140.00 2.0344E-03
7 150.00 1.7940E-03
8 160.00 1.6597E-03
9 170.00 1.5914E-03
10 180.00 1.5681E-03
Asymptotic AOP values are
MUu(inf) = 0.3315
MUd(inf) = 0.7924
MU(inf) = 0.7690
R(inf) = 0.0089
Lu(inf)/Ed(inf) = 0.001565 (1/sr)
k(inf) = 0.3838 (1/m)
absorp(check) = 0.2951 = k(inf)*MU(inf)
Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 620.0 nm
iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed
in air 1.1348E-01 1.7881E+00 1.9016E+00 4.6648E-02 1.4718E+00 0.4111 0.8231 0.7495 3.1694E-02
1 0.00 0.00 2.2926E-02 1.5185E+00 1.5415E+00 9.3155E-03 1.4345E+00 0.4063 0.9447 0.9246 6.4940E-03
3 10.84 10.00 1.2560E-03 5.3072E-02 5.4328E-02 4.5943E-04 4.3616E-02 0.3658 0.8218 0.7944 1.0534E-02
5 21.67 20.00 8.4142E-05 1.3549E-03 1.4390E-03 3.6446E-05 1.0600E-03 0.4332 0.7824 0.7113 3.4384E-02
K-functions (units of 1/meter) at 620.0 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 0.16084 0.28270 0.28089 0.23278 0.31840 0.31896 0.29854
10.000 10.010 10.005 0.31498 0.36113 0.36006 0.30750 0.36750 0.36814 0.29247
20.000 20.010 20.005 0.21064 0.36292 0.35401 0.19370 0.36908 0.37533 0.17459
Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 620.0 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 3.66059E-01 1.18352E-03 5.62970E-02 5.74806E-02 8.04123E-04 0.153792
9 1 10.0 0.0 180.0 1.60490E-01 1.20155E-03 2.43256E-02 2.55272E-02 8.16376E-04 0.151571
9 4 10.0 45.0 135.0 1.79395E-01 1.19628E-03 2.80453E-02 2.92416E-02 8.12792E-04 0.156332
9 7 10.0 90.0 90.0 2.50476E-01 1.19420E-03 4.25360E-02 4.37302E-02 8.11381E-04 0.169820
8 1 20.0 0.0 180.0 9.59439E-02 1.21212E-03 7.68005E-03 8.89217E-03 8.23556E-04 0.080047
8 4 20.0 45.0 135.0 1.07063E-01 1.20077E-03 9.97803E-03 1.11788E-02 8.15847E-04 0.093198
8 7 20.0 90.0 90.0 1.50458E-01 1.20060E-03 2.04560E-02 2.16566E-02 8.15728E-04 0.135959
7 1 30.0 0.0 180.0 6.76014E-02 1.22969E-03 2.42575E-03 3.65544E-03 8.35493E-04 0.035883
7 4 30.0 45.0 135.0 7.38244E-02 1.22992E-03 3.12111E-03 4.35103E-03 8.35646E-04 0.042278
7 7 30.0 90.0 90.0 9.70455E-02 1.22462E-03 6.70653E-03 7.93115E-03 8.32051E-04 0.069107
6 1 40.0 0.0 180.0 5.55324E-02 1.24534E-03 1.63138E-03 2.87672E-03 8.46124E-04 0.029377
6 4 40.0 45.0 135.0 5.94576E-02 1.24519E-03 1.79770E-03 3.04289E-03 8.46025E-04 0.030235
6 7 40.0 90.0 90.0 7.29892E-02 1.24275E-03 2.64832E-03 3.89107E-03 8.44367E-04 0.036284
5 1 50.0 0.0 180.0 5.14355E-02 1.27213E-03 2.07972E-03 3.35185E-03 8.64330E-04 0.040433
5 4 50.0 45.0 135.0 5.43249E-02 1.26620E-03 2.19337E-03 3.45957E-03 8.60299E-04 0.040375
5 7 50.0 90.0 90.0 6.36067E-02 1.26712E-03 2.60606E-03 3.87318E-03 8.60925E-04 0.040971
4 1 60.0 0.0 180.0 5.33503E-02 1.26698E-03 4.09482E-03 5.36180E-03 8.60831E-04 0.076753
4 4 60.0 45.0 135.0 5.56572E-02 1.26025E-03 4.22184E-03 5.48209E-03 8.56254E-04 0.075854
4 7 60.0 90.0 90.0 6.29709E-02 1.27791E-03 4.73223E-03 6.01014E-03 8.68254E-04 0.075150
3 1 70.0 0.0 180.0 6.39823E-02 1.19467E-03 1.02388E-02 1.14335E-02 8.11699E-04 0.160025
3 4 70.0 45.0 135.0 6.56733E-02 1.20183E-03 1.04827E-02 1.16846E-02 8.16565E-04 0.159619
3 7 70.0 90.0 90.0 7.16224E-02 1.21931E-03 1.14034E-02 1.26227E-02 8.28440E-04 0.159215
2 1 80.0 0.0 180.0 9.54131E-02 1.04052E-03 2.43229E-02 2.53635E-02 7.06964E-04 0.254922
2 4 80.0 45.0 135.0 9.58734E-02 1.04470E-03 2.52449E-02 2.62896E-02 7.09801E-04 0.263315
2 7 80.0 90.0 90.0 9.96832E-02 1.05985E-03 2.70274E-02 2.80872E-02 7.20095E-04 0.271133
1 1 87.5 0.0 180.0 1.43838E-01 8.54399E-04 4.23817E-02 4.32361E-02 5.80507E-04 0.294649
1 4 87.5 45.0 135.0 1.42115E-01 8.16565E-04 4.52306E-02 4.60472E-02 5.54802E-04 0.318267
1 7 87.5 90.0 90.0 1.41851E-01 9.16243E-04 4.76757E-02 4.85919E-02 6.22526E-04 0.336097
Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 620.0 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 5.748E-02 3.661E-01 9.354E-02 9.522E-02 1.020E-01 3.905E-02 8.115E-01 1.184E-03 8.041E-04
1 0.00 0.00 2.196E-03 6.073E+00 5.333E-03 6.124E-03 7.285E-03 1.531E-03 4.242E+00
3 10.84 10.00 9.735E-05 6.359E-02 4.061E-04 4.938E-04 6.324E-04 2.232E-03 4.719E+00
5 21.67 20.00 9.822E-06 1.108E-03 2.168E-05 2.309E-05 2.487E-05 9.266E-03 3.711E+00
Waveband 14 of 20 completed in 6.2 sec.
* * * * * Output for wavelength band 15 (630.0 to 650.0 nm; nominal wavelength = 640.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
The infinitely deep bottom boundary condition is applied at 37.8 m at 640.0 nm
RADTRANX clear-sky spectral irradiances averaged over the band from 630.0 nm to 650.0 nm:
Ed(diffuse) = 3.295E-01 Ed(direct) = 1.095E+00 Ed(total) = 1.424E+00
Absorption Coefficients of Individual Components at 640.0 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 0.3180 0.0195 0.0000 0.0011 0.3386
3 11.269 10.000 0.3180 0.0195 0.0000 0.0011 0.3386
5 22.538 20.000 0.3180 0.0195 0.0000 0.0011 0.3386
Scattering Coefficients of Individual Components at 640.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total
(m) (1/m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0010 0.2757 0.5116 0.0000 0.7884
3 11.269 10.000 0.0010 0.2757 0.5116 0.0000 0.7884
5 22.538 20.000 0.0010 0.2757 0.5116 0.0000 0.7884
Backscattering Coefficients of Individual Components at 640.0 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 0.00050 0.00387 0.00090 0.00000 0.00526
3 11.269 10.000 0.00050 0.00387 0.00090 0.00000 0.00526
5 22.538 20.000 0.00050 0.00387 0.00090 0.00000 0.00526
Summary of Inherent Optical Properties at 640.0 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 0.3386 0.7884 1.1269 0.6996 0.00526 0.00668
3 11.269 10.000 0.3386 0.7884 1.1269 0.6996 0.00526 0.00668
5 22.538 20.000 0.3386 0.7884 1.1269 0.6996 0.00526 0.00668
The shape of the asymptotic radiance distribution is given by
u theta Linf(theta)
10 0.00 1.0000E+00
9 10.00 9.0986E-01
8 20.00 7.0545E-01
7 30.00 4.7129E-01
6 40.00 2.7763E-01
5 50.00 1.4871E-01
4 60.00 7.5140E-02
3 70.00 3.7263E-02
2 80.00 1.8962E-02
1 87.50 1.1682E-02
1 92.50 8.3961E-03
2 100.00 5.5963E-03
3 110.00 3.5793E-03
4 120.00 2.5056E-03
5 130.00 1.9248E-03
6 140.00 1.6023E-03
7 150.00 1.4204E-03
8 160.00 1.3190E-03
9 170.00 1.2677E-03
10 180.00 1.2501E-03
Asymptotic AOP values are
MUu(inf) = 0.3326
MUd(inf) = 0.8037
MU(inf) = 0.7838
R(inf) = 0.0074
Lu(inf)/Ed(inf) = 0.001323 (1/sr)
k(inf) = 0.4320 (1/m)
absorp(check) = 0.3386 = k(inf)*MU(inf)
Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 640.0 nm
iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed
in air 1.0765E-01 1.7264E+00 1.8340E+00 4.4396E-02 1.4244E+00 0.4124 0.8251 0.7525 3.1167E-02
1 0.00 0.00 1.8880E-02 1.4665E+00 1.4854E+00 7.6245E-03 1.3877E+00 0.4038 0.9463 0.9291 5.4944E-03
3 11.27 10.00 6.8067E-04 3.1658E-02 3.2339E-02 2.5535E-04 2.6262E-02 0.3751 0.8296 0.8042 9.7229E-03
5 22.54 20.00 5.1014E-05 5.2573E-04 5.7675E-04 2.3423E-05 4.0883E-04 0.4591 0.7776 0.6682 5.7292E-02
K-functions (units of 1/meter) at 640.0 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 0.19652 0.32793 0.32626 0.27563 0.36374 0.36423 0.34300
10.000 10.010 10.005 0.33977 0.40939 0.40792 0.32520 0.41547 0.41636 0.29976
20.000 20.010 20.005 0.18027 0.39229 0.37352 0.16819 0.40410 0.41846 0.15637
Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 640.0 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 3.48971E-01 9.69406E-04 5.46415E-02 5.56109E-02 6.80550E-04 0.156579
9 1 10.0 0.0 180.0 1.52998E-01 9.84413E-04 2.35842E-02 2.45686E-02 6.91085E-04 0.154147
9 4 10.0 45.0 135.0 1.71022E-01 9.79896E-04 2.71961E-02 2.81760E-02 6.87915E-04 0.159021
9 7 10.0 90.0 90.0 2.38775E-01 9.77886E-04 4.12716E-02 4.22494E-02 6.86504E-04 0.172847
8 1 20.0 0.0 180.0 9.14650E-02 9.92807E-04 7.42147E-03 8.41428E-03 6.96978E-04 0.081140
8 4 20.0 45.0 135.0 1.02065E-01 9.83262E-04 9.65089E-03 1.06342E-02 6.90278E-04 0.094557
8 7 20.0 90.0 90.0 1.43434E-01 9.82626E-04 1.98233E-02 2.08059E-02 6.89831E-04 0.138205
7 1 30.0 0.0 180.0 6.44457E-02 1.00676E-03 2.32513E-03 3.33189E-03 7.06773E-04 0.036079
7 4 30.0 45.0 135.0 7.03781E-02 1.00666E-03 2.99783E-03 4.00449E-03 7.06702E-04 0.042596
7 7 30.0 90.0 90.0 9.25152E-02 1.00164E-03 6.47198E-03 7.47362E-03 7.03180E-04 0.069956
6 1 40.0 0.0 180.0 5.29400E-02 1.01881E-03 1.55587E-03 2.57468E-03 7.15235E-04 0.029389
6 4 40.0 45.0 135.0 5.66820E-02 1.01832E-03 1.71523E-03 2.73355E-03 7.14889E-04 0.030261
6 7 40.0 90.0 90.0 6.95819E-02 1.01539E-03 2.53365E-03 3.54904E-03 7.12831E-04 0.036413
5 1 50.0 0.0 180.0 4.90344E-02 1.04000E-03 1.98271E-03 3.02272E-03 7.30111E-04 0.040435
5 4 50.0 45.0 135.0 5.17889E-02 1.03471E-03 2.09098E-03 3.12569E-03 7.26398E-04 0.040375
5 7 50.0 90.0 90.0 6.06374E-02 1.03438E-03 2.48481E-03 3.51920E-03 7.26165E-04 0.040978
4 1 60.0 0.0 180.0 5.08598E-02 1.03511E-03 3.90366E-03 4.93877E-03 7.26677E-04 0.076753
4 4 60.0 45.0 135.0 5.30591E-02 1.02913E-03 4.02476E-03 5.05389E-03 7.22477E-04 0.075854
4 7 60.0 90.0 90.0 6.00313E-02 1.04236E-03 4.51132E-03 5.55369E-03 7.31769E-04 0.075150
3 1 70.0 0.0 180.0 6.09954E-02 9.75537E-04 9.76082E-03 1.07364E-02 6.84854E-04 0.160025
3 4 70.0 45.0 135.0 6.26076E-02 9.80923E-04 9.99338E-03 1.09743E-02 6.88635E-04 0.159619
3 7 70.0 90.0 90.0 6.82790E-02 9.94002E-04 1.08710E-02 1.18650E-02 6.97817E-04 0.159215
2 1 80.0 0.0 180.0 9.09590E-02 8.49430E-04 2.31875E-02 2.40369E-02 5.96323E-04 0.254922
2 4 80.0 45.0 135.0 9.13979E-02 8.52437E-04 2.40664E-02 2.49189E-02 5.98434E-04 0.263315
2 7 80.0 90.0 90.0 9.50298E-02 8.63763E-04 2.57657E-02 2.66294E-02 6.06386E-04 0.271133
1 1 87.5 0.0 180.0 1.37123E-01 6.97540E-04 4.04032E-02 4.11008E-02 4.89693E-04 0.294649
1 4 87.5 45.0 135.0 1.35481E-01 6.66352E-04 4.31191E-02 4.37855E-02 4.67798E-04 0.318267
1 7 87.5 90.0 90.0 1.35229E-01 7.46829E-04 4.54501E-02 4.61969E-02 5.24295E-04 0.336097
Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 640.0 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 5.561E-02 3.490E-01 8.911E-02 9.071E-02 9.715E-02 3.904E-02 7.983E-01 9.694E-04 6.806E-04
1 0.00 0.00 1.799E-03 5.893E+00 4.448E-03 5.124E-03 6.119E-03 1.296E-03 4.239E+00
3 11.27 10.00 5.715E-05 3.954E-02 2.146E-04 2.588E-04 3.287E-04 2.176E-03 4.468E+00
5 22.54 20.00 6.776E-06 4.376E-04 1.117E-05 1.160E-05 1.213E-05 1.657E-02 3.457E+00
Waveband 15 of 20 completed in 6.4 sec.
* * * * * Output for wavelength band 16 (650.0 to 670.0 nm; nominal wavelength = 660.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
The infinitely deep bottom boundary condition is applied at 36.3 m at 660.0 nm
RADTRANX clear-sky spectral irradiances averaged over the band from 650.0 nm to 670.0 nm:
Ed(diffuse) = 3.115E-01 Ed(direct) = 1.054E+00 Ed(total) = 1.365E+00
Absorption Coefficients of Individual Components at 660.0 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 0.4100 0.0264 0.0000 0.0008 0.4372
3 12.254 10.000 0.4100 0.0264 0.0000 0.0008 0.4372
5 24.509 20.000 0.4100 0.0264 0.0000 0.0008 0.4372
Scattering Coefficients of Individual Components at 660.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total
(m) (1/m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0009 0.2757 0.5116 0.0000 0.7882
3 12.254 10.000 0.0009 0.2757 0.5116 0.0000 0.7882
5 24.509 20.000 0.0009 0.2757 0.5116 0.0000 0.7882
Backscattering Coefficients of Individual Components at 660.0 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 0.00044 0.00387 0.00090 0.00000 0.00520
3 12.254 10.000 0.00044 0.00387 0.00090 0.00000 0.00520
5 24.509 20.000 0.00044 0.00387 0.00090 0.00000 0.00520
Summary of Inherent Optical Properties at 660.0 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 0.4372 0.7882 1.2254 0.6432 0.00520 0.00660
3 12.254 10.000 0.4372 0.7882 1.2254 0.6432 0.00520 0.00660
5 24.509 20.000 0.4372 0.7882 1.2254 0.6432 0.00520 0.00660
The shape of the asymptotic radiance distribution is given by
u theta Linf(theta)
10 0.00 1.0000E+00
9 10.00 8.9612E-01
8 20.00 6.6735E-01
7 30.00 4.1951E-01
6 40.00 2.2948E-01
5 50.00 1.1364E-01
4 60.00 5.3340E-02
3 70.00 2.4895E-02
2 80.00 1.2137E-02
1 87.50 7.3342E-03
1 92.50 5.2496E-03
2 100.00 3.4927E-03
3 110.00 2.2416E-03
4 120.00 1.5860E-03
5 130.00 1.2352E-03
6 140.00 1.0420E-03
7 150.00 9.3363E-04
8 160.00 8.7358E-04
9 170.00 8.4327E-04
10 180.00 8.3290E-04
Asymptotic AOP values are
MUu(inf) = 0.3368
MUd(inf) = 0.8240
MU(inf) = 0.8092
R(inf) = 0.0053
Lu(inf)/Ed(inf) = 0.000987 (1/sr)
k(inf) = 0.5403 (1/m)
absorp(check) = 0.4372 = k(inf)*MU(inf)
Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 660.0 nm
iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed
in air 1.0110E-01 1.6510E+00 1.7521E+00 4.1810E-02 1.3653E+00 0.4135 0.8269 0.7553 3.0624E-02
1 0.00 0.00 1.4360E-02 1.4021E+00 1.4164E+00 5.8070E-03 1.3293E+00 0.4044 0.9481 0.9344 4.3686E-03
3 12.25 10.00 4.2992E-04 1.0519E-02 1.0949E-02 1.9064E-04 8.7740E-03 0.4434 0.8341 0.7840 2.1728E-02
5 24.51 20.00 8.2216E-05 1.5915E-04 2.4136E-04 3.9568E-05 9.9197E-05 0.4813 0.6233 0.2471 3.9888E-01
K-functions (units of 1/meter) at 660.0 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 0.28223 0.43148 0.42997 0.36267 0.46680 0.46726 0.42206
10.000 10.010 10.005 0.24379 0.50560 0.49531 0.22087 0.51573 0.52228 0.19648
20.000 20.010 20.005 0.13968 0.25749 0.21734 0.13904 0.29987 0.40674 0.13858
Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 660.0 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 3.29869E-01 7.53005E-04 5.25069E-02 5.32599E-02 5.51546E-04 0.159175
9 1 10.0 0.0 180.0 1.44623E-01 7.64583E-04 2.26403E-02 2.34049E-02 5.60027E-04 0.156547
9 4 10.0 45.0 135.0 1.61662E-01 7.60925E-04 2.61126E-02 2.68735E-02 5.57347E-04 0.161526
9 7 10.0 90.0 90.0 2.25697E-01 7.59108E-04 3.96475E-02 4.04066E-02 5.56016E-04 0.175667
8 1 20.0 0.0 180.0 8.64585E-02 7.70358E-04 7.10325E-03 7.87360E-03 5.64256E-04 0.082158
8 4 20.0 45.0 135.0 9.64779E-02 7.62750E-04 9.24473E-03 1.00075E-02 5.58684E-04 0.095822
8 7 20.0 90.0 90.0 1.35583E-01 7.61793E-04 1.90219E-02 1.97837E-02 5.57983E-04 0.140298
7 1 30.0 0.0 180.0 6.09181E-02 7.80107E-04 2.20896E-03 2.98907E-03 5.71398E-04 0.036261
7 4 30.0 45.0 135.0 6.65258E-02 7.79772E-04 2.85348E-03 3.63325E-03 5.71152E-04 0.042893
7 7 30.0 90.0 90.0 8.74512E-02 7.75162E-04 6.18686E-03 6.96202E-03 5.67775E-04 0.070746
6 1 40.0 0.0 180.0 5.00422E-02 7.87511E-04 1.47127E-03 2.25878E-03 5.76821E-04 0.029401
6 4 40.0 45.0 135.0 5.35794E-02 7.86727E-04 1.62262E-03 2.40935E-03 5.76246E-04 0.030284
6 7 40.0 90.0 90.0 6.57731E-02 7.83277E-04 2.40286E-03 3.18613E-03 5.73719E-04 0.036532
5 1 50.0 0.0 180.0 4.63504E-02 8.01739E-04 1.87426E-03 2.67599E-03 5.87242E-04 0.040437
5 4 50.0 45.0 135.0 4.89541E-02 7.97094E-04 1.97652E-03 2.77362E-03 5.83840E-04 0.040375
5 7 50.0 90.0 90.0 5.73183E-02 7.95180E-04 2.34916E-03 3.14434E-03 5.82438E-04 0.040985
4 1 60.0 0.0 180.0 4.80759E-02 7.95707E-04 3.68998E-03 4.48569E-03 5.82824E-04 0.076753
4 4 60.0 45.0 135.0 5.01547E-02 7.90392E-04 3.80445E-03 4.59485E-03 5.78931E-04 0.075854
4 7 60.0 90.0 90.0 5.67453E-02 7.98441E-04 4.26438E-03 5.06283E-03 5.84826E-04 0.075150
3 1 70.0 0.0 180.0 5.76567E-02 7.47449E-04 9.22654E-03 9.97399E-03 5.47477E-04 0.160025
3 4 70.0 45.0 135.0 5.91806E-02 7.50744E-04 9.44636E-03 1.01971E-02 5.49890E-04 0.159619
3 7 70.0 90.0 90.0 6.45415E-02 7.58219E-04 1.02760E-02 1.10342E-02 5.55365E-04 0.159215
2 1 80.0 0.0 180.0 8.59802E-02 6.48907E-04 2.19183E-02 2.25672E-02 4.75299E-04 0.254922
2 4 80.0 45.0 135.0 8.63950E-02 6.50340E-04 2.27491E-02 2.33994E-02 4.76348E-04 0.263315
2 7 80.0 90.0 90.0 8.98281E-02 6.56463E-04 2.43553E-02 2.50118E-02 4.80833E-04 0.271133
1 1 87.5 0.0 180.0 1.29618E-01 5.31430E-04 3.81917E-02 3.87231E-02 3.89251E-04 0.294649
1 4 87.5 45.0 135.0 1.28065E-01 5.06936E-04 4.07589E-02 4.12658E-02 3.71310E-04 0.318267
1 7 87.5 90.0 90.0 1.27827E-01 5.65678E-04 4.29623E-02 4.35280E-02 4.14337E-04 0.336097
Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 660.0 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 5.326E-02 3.299E-01 8.417E-02 8.568E-02 9.176E-02 3.901E-02 7.850E-01 7.530E-04 5.515E-04
1 0.00 0.00 1.397E-03 5.661E+00 3.439E-03 3.957E-03 4.712E-03 1.051E-03 4.156E+00
3 12.25 10.00 5.283E-05 1.388E-02 9.912E-05 1.093E-04 1.254E-04 6.021E-03 3.609E+00
5 24.51 20.00 1.182E-05 7.271E-05 1.489E-05 1.492E-05 1.496E-05 1.192E-01 3.348E+00
Waveband 16 of 20 completed in 6.9 sec.
* * * * * Output for wavelength band 17 (670.0 to 690.0 nm; nominal wavelength = 680.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
The infinitely deep bottom boundary condition is applied at 35.5 m at 680.0 nm
RADTRANX clear-sky spectral irradiances averaged over the band from 670.0 nm to 690.0 nm:
Ed(diffuse) = 2.952E-01 Ed(direct) = 1.015E+00 Ed(total) = 1.310E+00
Absorption Coefficients of Individual Components at 680.0 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 0.4650 0.0367 0.0000 0.0006 0.5023
3 12.904 10.000 0.4650 0.0367 0.0000 0.0006 0.5023
5 25.809 20.000 0.4650 0.0367 0.0000 0.0006 0.5023
Scattering Coefficients of Individual Components at 680.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total
(m) (1/m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0008 0.2757 0.5116 0.0000 0.7881
3 12.904 10.000 0.0008 0.2757 0.5116 0.0000 0.7881
5 25.809 20.000 0.0008 0.2757 0.5116 0.0000 0.7881
Backscattering Coefficients of Individual Components at 680.0 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 0.00038 0.00387 0.00090 0.00000 0.00515
3 12.904 10.000 0.00038 0.00387 0.00090 0.00000 0.00515
5 25.809 20.000 0.00038 0.00387 0.00090 0.00000 0.00515
Summary of Inherent Optical Properties at 680.0 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 0.5023 0.7881 1.2904 0.6107 0.00515 0.00653
3 12.904 10.000 0.5023 0.7881 1.2904 0.6107 0.00515 0.00653
5 25.809 20.000 0.5023 0.7881 1.2904 0.6107 0.00515 0.00653
The shape of the asymptotic radiance distribution is given by
u theta Linf(theta)
10 0.00 1.0000E+00
9 10.00 8.8774E-01
8 20.00 6.4496E-01
7 30.00 3.9077E-01
6 40.00 2.0456E-01
5 50.00 9.6807E-02
4 60.00 4.3626E-02
3 70.00 1.9732E-02
2 80.00 9.4290E-03
1 87.50 5.6534E-03
1 92.50 4.0450E-03
2 100.00 2.6932E-03
3 110.00 1.7338E-03
4 120.00 1.2342E-03
5 130.00 9.6795E-04
6 140.00 8.2179E-04
7 150.00 7.4005E-04
8 160.00 6.9482E-04
9 170.00 6.7205E-04
10 180.00 6.6425E-04
Asymptotic AOP values are
MUu(inf) = 0.3393
MUd(inf) = 0.8346
MU(inf) = 0.8220
R(inf) = 0.0044
Lu(inf)/Ed(inf) = 0.000839 (1/sr)
k(inf) = 0.6111 (1/m)
absorp(check) = 0.5023 = k(inf)*MU(inf)
Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 680.0 nm
iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed
in air 9.8383E-02 1.5809E+00 1.6792E+00 4.1152E-02 1.3097E+00 0.4183 0.8285 0.7555 3.1420E-02
1 0.00 0.00 1.8295E-02 1.3481E+00 1.3664E+00 7.8540E-03 1.2765E+00 0.4293 0.9468 0.9284 6.1530E-03
3 12.90 10.00 1.9932E-03 7.2269E-03 9.2202E-03 9.5293E-04 5.3491E-03 0.4781 0.7402 0.4768 1.7815E-01
5 25.81 20.00 4.9666E-04 6.5559E-04 1.1523E-03 2.3897E-04 3.4687E-04 0.4811 0.5291 0.0936 6.8892E-01
K-functions (units of 1/meter) at 680.0 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 0.29785 0.49941 0.49671 0.32735 0.53318 0.53446 0.34263
10.000 10.010 10.005 0.15115 0.42923 0.36905 0.14855 0.48089 0.55308 0.14570
20.000 20.010 20.005 0.14035 0.14195 0.14126 0.14051 0.14688 0.16097 0.14068
Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 680.0 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 3.12597E-01 1.10670E-03 5.04855E-02 5.15922E-02 8.44971E-04 0.161504
9 1 10.0 0.0 180.0 1.37051E-01 1.12027E-03 2.17499E-02 2.28702E-02 8.55337E-04 0.158700
9 4 10.0 45.0 135.0 1.53198E-01 1.11591E-03 2.50896E-02 2.62055E-02 8.52008E-04 0.163772
9 7 10.0 90.0 90.0 2.13873E-01 1.11481E-03 3.81114E-02 3.92262E-02 8.51165E-04 0.178196
8 1 20.0 0.0 180.0 8.19314E-02 1.12578E-03 6.80612E-03 7.93190E-03 8.59540E-04 0.083071
8 4 20.0 45.0 135.0 9.14262E-02 1.11593E-03 8.86444E-03 9.98037E-03 8.52021E-04 0.096957
8 7 20.0 90.0 90.0 1.28483E-01 1.11667E-03 1.82671E-02 1.93838E-02 8.52588E-04 0.142175
7 1 30.0 0.0 180.0 5.77283E-02 1.13652E-03 2.10274E-03 3.23927E-03 8.67744E-04 0.036425
7 4 30.0 45.0 135.0 6.30424E-02 1.13738E-03 2.72084E-03 3.85823E-03 8.68402E-04 0.043159
7 7 30.0 90.0 90.0 8.28721E-02 1.13306E-03 5.92167E-03 7.05473E-03 8.65100E-04 0.071456
6 1 40.0 0.0 180.0 4.74220E-02 1.14101E-03 1.39471E-03 2.53573E-03 8.71172E-04 0.029411
6 4 40.0 45.0 135.0 5.07739E-02 1.14116E-03 1.53875E-03 2.67991E-03 8.71282E-04 0.030306
6 7 40.0 90.0 90.0 6.23292E-02 1.13802E-03 2.28375E-03 3.42176E-03 8.68883E-04 0.036640
5 1 50.0 0.0 180.0 4.39234E-02 1.15387E-03 1.77618E-03 2.93004E-03 8.80985E-04 0.040438
5 4 50.0 45.0 135.0 4.63908E-02 1.14802E-03 1.87303E-03 3.02105E-03 8.76523E-04 0.040375
5 7 50.0 90.0 90.0 5.43170E-02 1.14545E-03 2.22646E-03 3.37191E-03 8.74557E-04 0.040990
4 1 60.0 0.0 180.0 4.55586E-02 1.13635E-03 3.49677E-03 4.63312E-03 8.67612E-04 0.076753
4 4 60.0 45.0 135.0 4.75286E-02 1.12902E-03 3.60525E-03 4.73427E-03 8.62013E-04 0.075854
4 7 60.0 90.0 90.0 5.37741E-02 1.13864E-03 4.04110E-03 5.17974E-03 8.69363E-04 0.075150
3 1 70.0 0.0 180.0 5.46377E-02 1.05585E-03 8.74342E-03 9.79928E-03 8.06153E-04 0.160025
3 4 70.0 45.0 135.0 5.60818E-02 1.05982E-03 8.95174E-03 1.00116E-02 8.09181E-04 0.159619
3 7 70.0 90.0 90.0 6.11621E-02 1.06566E-03 9.73791E-03 1.08036E-02 8.13639E-04 0.159215
2 1 80.0 0.0 180.0 8.14781E-02 9.06393E-04 2.07706E-02 2.16770E-02 6.92038E-04 0.254922
2 4 80.0 45.0 135.0 8.18712E-02 9.06868E-04 2.15579E-02 2.24648E-02 6.92401E-04 0.263315
2 7 80.0 90.0 90.0 8.51246E-02 9.09295E-04 2.30800E-02 2.39893E-02 6.94253E-04 0.271133
1 1 87.5 0.0 180.0 1.22831E-01 7.32789E-04 3.61919E-02 3.69247E-02 5.59490E-04 0.294649
1 4 87.5 45.0 135.0 1.21360E-01 6.97339E-04 3.86247E-02 3.93221E-02 5.32424E-04 0.318267
1 7 87.5 90.0 90.0 1.21134E-01 7.70613E-04 4.07127E-02 4.14833E-02 5.88369E-04 0.336097
Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 680.0 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 5.159E-02 3.126E-01 7.988E-02 8.131E-02 8.707E-02 3.939E-02 7.976E-01 1.107E-03 8.450E-04
1 0.00 0.00 2.054E-03 5.442E+00 4.181E-03 4.634E-03 5.260E-03 1.609E-03 3.824E+00
3 12.90 10.00 2.804E-04 7.262E-03 3.653E-04 3.693E-04 3.755E-04 5.242E-02 3.399E+00
5 25.81 20.00 7.064E-05 1.315E-04 8.903E-05 8.903E-05 8.904E-05 2.036E-01 3.383E+00
Waveband 17 of 20 completed in 6.9 sec.
* * * * * Output for wavelength band 18 (690.0 to 710.0 nm; nominal wavelength = 700.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
The infinitely deep bottom boundary condition is applied at 34.1 m at 700.0 nm
RADTRANX clear-sky spectral irradiances averaged over the band from 690.0 nm to 710.0 nm:
Ed(diffuse) = 2.711E-01 Ed(direct) = 9.460E-01 Ed(total) = 1.217E+00
Absorption Coefficients of Individual Components at 700.0 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 0.6240 0.0091 0.0000 0.0005 0.6335
3 14.216 10.000 0.6240 0.0091 0.0000 0.0005 0.6335
5 28.431 20.000 0.6240 0.0091 0.0000 0.0005 0.6335
Scattering Coefficients of Individual Components at 700.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total
(m) (1/m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0007 0.2757 0.5116 0.0000 0.7880
3 14.216 10.000 0.0007 0.2757 0.5116 0.0000 0.7880
5 28.431 20.000 0.0007 0.2757 0.5116 0.0000 0.7880
Backscattering Coefficients of Individual Components at 700.0 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 0.00034 0.00387 0.00090 0.00000 0.00510
3 14.216 10.000 0.00034 0.00387 0.00090 0.00000 0.00510
5 28.431 20.000 0.00034 0.00387 0.00090 0.00000 0.00510
Summary of Inherent Optical Properties at 700.0 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 0.6335 0.7880 1.4216 0.5543 0.00510 0.00648
3 14.216 10.000 0.6335 0.7880 1.4216 0.5543 0.00510 0.00648
5 28.431 20.000 0.6335 0.7880 1.4216 0.5543 0.00510 0.00648
The shape of the asymptotic radiance distribution is given by
u theta Linf(theta)
10 0.00 1.0000E+00
9 10.00 8.7213E-01
8 20.00 6.0484E-01
7 30.00 3.4232E-01
6 40.00 1.6550E-01
5 50.00 7.2358E-02
4 60.00 3.0477E-02
3 70.00 1.3143E-02
2 80.00 6.1172E-03
1 87.50 3.6404E-03
1 92.50 2.6119E-03
2 100.00 1.7471E-03
3 110.00 1.1342E-03
4 120.00 8.1737E-04
5 130.00 6.4943E-04
6 140.00 5.5760E-04
7 150.00 5.0641E-04
8 160.00 4.7819E-04
9 170.00 4.6402E-04
10 180.00 4.5916E-04
Asymptotic AOP values are
MUu(inf) = 0.3444
MUd(inf) = 0.8515
MU(inf) = 0.8419
R(inf) = 0.0033
Lu(inf)/Ed(inf) = 0.000648 (1/sr)
k(inf) = 0.7526 (1/m)
absorp(check) = 0.6336 = k(inf)*MU(inf)
Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 700.0 nm
iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed
in air 8.7485E-02 1.4664E+00 1.5539E+00 3.6394E-02 1.2171E+00 0.4160 0.8300 0.7599 2.9901E-02
1 0.00 0.00 8.8547E-03 1.2461E+00 1.2550E+00 3.5717E-03 1.1843E+00 0.4034 0.9504 0.9409 3.0158E-03
3 14.22 10.00 2.4284E-04 1.3484E-03 1.5913E-03 1.1721E-04 1.0699E-03 0.4827 0.7935 0.5987 1.0955E-01
5 28.43 20.00 6.0029E-05 7.4583E-05 1.3461E-04 2.9205E-05 3.9028E-05 0.4865 0.5233 0.0730 7.4832E-01
K-functions (units of 1/meter) at 700.0 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 0.46176 0.63843 0.63718 0.54014 0.67199 0.67239 0.58793
10.000 10.010 10.005 0.15982 0.60439 0.53641 0.15483 0.65279 0.71423 0.15026
20.000 20.010 20.005 0.14048 0.13874 0.13952 0.14070 0.14208 0.14619 0.14102
Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 700.0 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 2.87109E-01 4.70438E-04 4.70153E-02 4.74858E-02 3.86513E-04 0.163754
9 1 10.0 0.0 180.0 1.25876E-01 4.77664E-04 2.02384E-02 2.07161E-02 3.92450E-04 0.160780
9 4 10.0 45.0 135.0 1.40708E-01 4.75256E-04 2.33496E-02 2.38248E-02 3.90472E-04 0.165943
9 7 10.0 90.0 90.0 1.96429E-01 4.73973E-04 3.54832E-02 3.59572E-02 3.89418E-04 0.180641
8 1 20.0 0.0 180.0 7.52511E-02 4.80849E-04 6.31759E-03 6.79844E-03 3.95067E-04 0.083954
8 4 20.0 45.0 135.0 8.39717E-02 4.75961E-04 8.23381E-03 8.70977E-03 3.91051E-04 0.098055
8 7 20.0 90.0 90.0 1.18008E-01 4.75108E-04 1.69918E-02 1.74669E-02 3.90350E-04 0.143989
7 1 30.0 0.0 180.0 5.30214E-02 4.86325E-04 1.93968E-03 2.42600E-03 3.99566E-04 0.036583
7 4 30.0 45.0 135.0 5.79022E-02 4.85970E-04 2.51389E-03 2.99986E-03 3.99275E-04 0.043416
7 7 30.0 90.0 90.0 7.61151E-02 4.82704E-04 5.49102E-03 5.97372E-03 3.96591E-04 0.072141
6 1 40.0 0.0 180.0 4.35554E-02 4.89890E-04 1.28142E-03 1.77131E-03 4.02495E-04 0.029421
6 4 40.0 45.0 135.0 4.66340E-02 4.89182E-04 1.41425E-03 1.90343E-03 4.01914E-04 0.030327
6 7 40.0 90.0 90.0 5.72471E-02 4.86398E-04 2.10349E-03 2.58989E-03 3.99626E-04 0.036744
5 1 50.0 0.0 180.0 4.03421E-02 4.97580E-04 1.63141E-03 2.12899E-03 4.08814E-04 0.040439
5 4 50.0 45.0 135.0 4.26083E-02 4.94394E-04 1.72031E-03 2.21471E-03 4.06196E-04 0.040375
5 7 50.0 90.0 90.0 4.98882E-02 4.92339E-04 2.04520E-03 2.53754E-03 4.04508E-04 0.040996
4 1 60.0 0.0 180.0 4.18439E-02 4.92620E-04 3.21166E-03 3.70428E-03 4.04739E-04 0.076753
4 4 60.0 45.0 135.0 4.36533E-02 4.88953E-04 3.31129E-03 3.80025E-03 4.01726E-04 0.075854
4 7 60.0 90.0 90.0 4.93896E-02 4.92846E-04 3.71160E-03 4.20445E-03 4.04924E-04 0.075150
3 1 70.0 0.0 180.0 5.01828E-02 4.61434E-04 8.03053E-03 8.49196E-03 3.79115E-04 0.160025
3 4 70.0 45.0 135.0 5.15092E-02 4.63043E-04 8.22186E-03 8.68490E-03 3.80438E-04 0.159619
3 7 70.0 90.0 90.0 5.61752E-02 4.66361E-04 8.94393E-03 9.41029E-03 3.83164E-04 0.159215
2 1 80.0 0.0 180.0 7.48348E-02 3.99586E-04 1.90771E-02 1.94766E-02 3.28301E-04 0.254922
2 4 80.0 45.0 135.0 7.51958E-02 4.00032E-04 1.98002E-02 2.02002E-02 3.28668E-04 0.263315
2 7 80.0 90.0 90.0 7.81839E-02 4.02513E-04 2.11982E-02 2.16007E-02 3.30706E-04 0.271133
1 1 87.5 0.0 180.0 1.12816E-01 3.26495E-04 3.32410E-02 3.35675E-02 2.68249E-04 0.294649
1 4 87.5 45.0 135.0 1.11464E-01 3.11077E-04 3.54754E-02 3.57865E-02 2.55582E-04 0.318267
1 7 87.5 90.0 90.0 1.11257E-01 3.45845E-04 3.73932E-02 3.77390E-02 2.84148E-04 0.336097
Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 700.0 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 4.749E-02 2.871E-01 7.319E-02 7.450E-02 7.979E-02 3.901E-02 7.664E-01 4.704E-04 3.865E-04
1 0.00 0.00 8.730E-04 5.067E+00 2.184E-03 2.521E-03 3.000E-03 7.371E-04 4.091E+00
3 14.22 10.00 3.541E-05 1.709E-03 4.363E-05 4.427E-05 4.526E-05 3.310E-02 3.310E+00
5 28.43 20.00 8.854E-06 1.419E-05 1.045E-05 1.045E-05 1.045E-05 2.269E-01 3.298E+00
Waveband 18 of 20 completed in 7.3 sec.
* * * * * Output for wavelength band 19 (710.0 to 730.0 nm; nominal wavelength = 720.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
The infinitely deep bottom boundary condition is applied at 29.9 m at 720.0 nm
RADTRANX clear-sky spectral irradiances averaged over the band from 710.0 nm to 730.0 nm:
Ed(diffuse) = 2.375E-01 Ed(direct) = 8.398E-01 Ed(total) = 1.077E+00
Absorption Coefficients of Individual Components at 720.0 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 1.2310 0.0000 0.0000 0.0004 1.2314
3 20.193 10.000 1.2310 0.0000 0.0000 0.0004 1.2314
5 40.386 20.000 1.2310 0.0000 0.0000 0.0004 1.2314
Scattering Coefficients of Individual Components at 720.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total
(m) (1/m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0006 0.2757 0.5116 0.0000 0.7880
3 20.193 10.000 0.0006 0.2757 0.5116 0.0000 0.7880
5 40.386 20.000 0.0006 0.2757 0.5116 0.0000 0.7880
Backscattering Coefficients of Individual Components at 720.0 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 0.00030 0.00387 0.00090 0.00000 0.00507
3 20.193 10.000 0.00030 0.00387 0.00090 0.00000 0.00507
5 40.386 20.000 0.00030 0.00387 0.00090 0.00000 0.00507
Summary of Inherent Optical Properties at 720.0 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 1.2314 0.7880 2.0193 0.3902 0.00507 0.00643
3 20.193 10.000 1.2314 0.7880 2.0193 0.3902 0.00507 0.00643
5 40.386 20.000 1.2314 0.7880 2.0193 0.3902 0.00507 0.00643
The shape of the asymptotic radiance distribution is given by
u theta Linf(theta)
10 0.00 1.0000E+00
9 10.00 8.1372E-01
8 20.00 4.7273E-01
7 30.00 2.0919E-01
6 40.00 7.7506E-02
5 50.00 2.6720E-02
4 60.00 9.5008E-03
3 70.00 3.7584E-03
2 80.00 1.7105E-03
1 87.50 1.0262E-03
1 92.50 7.5150E-04
2 100.00 5.1434E-04
3 110.00 3.4449E-04
4 120.00 2.5777E-04
5 130.00 2.1220E-04
6 140.00 1.8744E-04
7 150.00 1.7373E-04
8 160.00 1.6625E-04
9 170.00 1.6255E-04
10 180.00 1.6127E-04
Asymptotic AOP values are
MUu(inf) = 0.3607
MUd(inf) = 0.8932
MU(inf) = 0.8886
R(inf) = 0.0015
Lu(inf)/Ed(inf) = 0.000321 (1/sr)
k(inf) = 1.3859 (1/m)
absorp(check) = 1.2315 = k(inf)*MU(inf)
Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 720.0 nm
iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed
in air 7.5494E-02 1.2958E+00 1.3713E+00 3.1385E-02 1.0773E+00 0.4157 0.8313 0.7627 2.9134E-02
1 0.00 0.00 3.5998E-03 1.0993E+00 1.1029E+00 1.4122E-03 1.0473E+00 0.3923 0.9527 0.9483 1.3485E-03
3 20.19 10.00 1.6809E-05 2.1055E-05 3.7864E-05 8.5311E-06 1.1807E-05 0.5075 0.5608 0.0865 7.2252E-01
5 40.39 20.00 3.6365E-06 4.1310E-06 7.7676E-06 1.8295E-06 2.1632E-06 0.5031 0.5236 0.0430 8.4573E-01
K-functions (units of 1/meter) at 720.0 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 1.13423 1.27217 1.27172 1.20832 1.29840 1.29852 1.25246
10.000 10.010 10.005 0.18441 3.30497 1.90763 0.16803 4.30786 15.96778 0.16298
20.000 20.010 20.005 0.15965 0.15231 0.15575 0.16013 0.15288 0.11318 0.16128
Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 720.0 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 2.51503E-01 1.84189E-04 4.16895E-02 4.18737E-02 1.70979E-04 0.165761
9 1 10.0 0.0 180.0 1.10266E-01 1.87326E-04 1.79332E-02 1.81205E-02 1.73891E-04 0.162636
9 4 10.0 45.0 135.0 1.23259E-01 1.86206E-04 2.06927E-02 2.08789E-02 1.72851E-04 0.167880
9 7 10.0 90.0 90.0 1.72064E-01 1.85471E-04 3.14571E-02 3.16426E-02 1.72169E-04 0.182822
8 1 20.0 0.0 180.0 6.59188E-02 1.88553E-04 5.58599E-03 5.77455E-03 1.75029E-04 0.084740
8 4 20.0 45.0 135.0 7.35579E-02 1.86428E-04 7.28467E-03 7.47110E-03 1.73057E-04 0.099033
8 7 20.0 90.0 90.0 1.03373E-01 1.85738E-04 1.50518E-02 1.52375E-02 1.72417E-04 0.145607
7 1 30.0 0.0 180.0 4.64460E-02 1.90596E-04 1.70568E-03 1.89627E-03 1.76926E-04 0.036724
7 4 30.0 45.0 135.0 5.07215E-02 1.90243E-04 2.21377E-03 2.40401E-03 1.76598E-04 0.043646
7 7 30.0 90.0 90.0 6.66757E-02 1.88489E-04 4.85081E-03 5.03930E-03 1.74970E-04 0.072752
6 1 40.0 0.0 180.0 3.81539E-02 1.91837E-04 1.12284E-03 1.31468E-03 1.78078E-04 0.029429
6 4 40.0 45.0 135.0 4.08507E-02 1.91298E-04 1.23962E-03 1.43091E-03 1.77578E-04 0.030345
6 7 40.0 90.0 90.0 5.01476E-02 1.89600E-04 1.84728E-03 2.03688E-03 1.76002E-04 0.036837
5 1 50.0 0.0 180.0 3.53391E-02 1.94721E-04 1.42913E-03 1.62385E-03 1.80755E-04 0.040441
5 4 50.0 45.0 135.0 3.73243E-02 1.93188E-04 1.50697E-03 1.70016E-03 1.79332E-04 0.040375
5 7 50.0 90.0 90.0 4.37014E-02 1.91751E-04 1.79178E-03 1.98353E-03 1.77998E-04 0.041000
4 1 60.0 0.0 180.0 3.66546E-02 1.92691E-04 2.81337E-03 3.00606E-03 1.78871E-04 0.076753
4 4 60.0 45.0 135.0 3.82396E-02 1.90965E-04 2.90064E-03 3.09161E-03 1.77269E-04 0.075854
4 7 60.0 90.0 90.0 4.32645E-02 1.91864E-04 3.25131E-03 3.44317E-03 1.78103E-04 0.075150
3 1 70.0 0.0 180.0 4.39594E-02 1.80535E-04 7.03462E-03 7.21516E-03 1.67587E-04 0.160025
3 4 70.0 45.0 135.0 4.51213E-02 1.80915E-04 7.20222E-03 7.38314E-03 1.67939E-04 0.159619
3 7 70.0 90.0 90.0 4.92086E-02 1.81669E-04 7.83475E-03 8.01642E-03 1.68639E-04 0.159215
2 1 80.0 0.0 180.0 6.55541E-02 1.56456E-04 1.67112E-02 1.68677E-02 1.45234E-04 0.254922
2 4 80.0 45.0 135.0 6.58704E-02 1.56439E-04 1.73447E-02 1.75011E-02 1.45219E-04 0.263315
2 7 80.0 90.0 90.0 6.84879E-02 1.56977E-04 1.85693E-02 1.87263E-02 1.45719E-04 0.271133
1 1 87.5 0.0 180.0 9.88247E-02 1.28050E-04 2.91186E-02 2.92467E-02 1.18866E-04 0.294649
1 4 87.5 45.0 135.0 9.76412E-02 1.21868E-04 3.10759E-02 3.11978E-02 1.13127E-04 0.318267
1 7 87.5 90.0 90.0 9.74597E-02 1.35162E-04 3.27559E-02 3.28910E-02 1.25468E-04 0.336097
Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 720.0 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 4.187E-02 2.515E-01 6.404E-02 6.518E-02 6.981E-02 3.887E-02 7.495E-01 1.842E-04 1.710E-04
1 0.00 0.00 3.418E-04 4.492E+00 9.849E-04 1.160E-03 1.387E-03 3.264E-04 4.131E+00
3 20.19 10.00 2.881E-06 7.647E-06 2.664E-06 2.664E-06 2.665E-06 2.440E-01 2.961E+00
5 40.39 20.00 6.035E-07 7.743E-07 5.837E-07 5.837E-07 5.837E-07 2.790E-01 3.032E+00
Waveband 19 of 20 completed in 10.1 sec.
* * * * * Output for wavelength band 20 (730.0 to 750.0 nm; nominal wavelength = 740.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
The infinitely deep bottom boundary condition is applied at 26.3 m at 740.0 nm
RADTRANX clear-sky spectral irradiances averaged over the band from 730.0 nm to 750.0 nm:
Ed(diffuse) = 2.480E-01 Ed(direct) = 8.885E-01 Ed(total) = 1.137E+00
Absorption Coefficients of Individual Components at 740.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total
(m) (1/m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 2.3800 0.0000 0.0000 0.0003 2.3803
3 31.682 10.000 2.3800 0.0000 0.0000 0.0003 2.3803
5 63.363 20.000 2.3800 0.0000 0.0000 0.0003 2.3803
Scattering Coefficients of Individual Components at 740.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Comp 4 Total
(m) (1/m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0005 0.2757 0.5116 0.0000 0.7879
3 31.682 10.000 0.0005 0.2757 0.5116 0.0000 0.7879
5 63.363 20.000 0.0005 0.2757 0.5116 0.0000 0.7879
Backscattering Coefficients of Individual Components at 740.0 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 0.00027 0.00387 0.00090 0.00000 0.00503
3 31.682 10.000 0.00027 0.00387 0.00090 0.00000 0.00503
5 63.363 20.000 0.00027 0.00387 0.00090 0.00000 0.00503
Summary of Inherent Optical Properties at 740.0 nm
iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 2.3803 0.7879 3.1682 0.2487 0.00503 0.00639
3 31.682 10.000 2.3803 0.7879 3.1682 0.2487 0.00503 0.00639
5 63.363 20.000 2.3803 0.7879 3.1682 0.2487 0.00503 0.00639
The shape of the asymptotic radiance distribution is given by
u theta Linf(theta)
10 0.00 1.0000E+00
9 10.00 7.2911E-01
8 20.00 3.2591E-01
7 30.00 1.0442E-01
6 40.00 2.8731E-02
5 50.00 8.0636E-03
4 60.00 2.6278E-03
3 70.00 1.0405E-03
2 80.00 4.8828E-04
1 87.50 2.9978E-04
1 92.50 2.2393E-04
2 100.00 1.5636E-04
3 110.00 1.0766E-04
4 120.00 8.3071E-05
5 130.00 7.0193E-05
6 140.00 6.3192E-05
7 150.00 5.9331E-05
8 160.00 5.7259E-05
9 170.00 5.6257E-05
10 180.00 5.5911E-05
Asymptotic AOP values are
MUu(inf) = 0.3739
MUd(inf) = 0.9248
MU(inf) = 0.9226
R(inf) = 0.0007
Lu(inf)/Ed(inf) = 0.000162 (1/sr)
k(inf) = 2.5804 (1/m)
absorp(check) = 2.3806 = k(inf)*MU(inf)
Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 740.0 nm
iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed
in air 7.8526E-02 1.3650E+00 1.4436E+00 3.2716E-02 1.1366E+00 0.4166 0.8326 0.7647 2.8785E-02
1 0.00 0.00 1.9127E-03 1.1581E+00 1.1600E+00 7.4227E-04 1.1046E+00 0.3881 0.9538 0.9516 6.7199E-04
3 31.68 10.00 2.2943E-06 8.4336E-06 1.0728E-05 1.1562E-06 4.5656E-06 0.5040 0.5414 0.3178 2.5325E-01
5 63.36 20.00 7.4238E-07 1.5312E-06 2.2735E-06 3.7470E-07 7.9963E-07 0.5047 0.5222 0.1869 4.6859E-01
K-functions (units of 1/meter) at 740.0 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 2.44808 2.49001 2.48994 2.45954 2.50139 2.50142 2.48123
10.000 10.010 10.005 1.35032 63.14128 46.34772 0.56218 66.11007 103.80639 0.28657
20.000 20.010 20.005 0.90855 66.13140 39.86811 0.40402 66.77896 244.39139 0.23253
Radiances Just Above the Water Surface (at z = a) (units of W/m^2 sr nm) at 740.0 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 2.62666E-01 9.64839E-05 4.40628E-02 4.41593E-02 8.48918E-05 0.167752
9 1 10.0 0.0 180.0 1.15160E-01 9.82197E-05 1.89411E-02 1.90393E-02 8.64191E-05 0.164476
9 4 10.0 45.0 135.0 1.28731E-01 9.75851E-05 2.18585E-02 2.19560E-02 8.58607E-05 0.169800
9 7 10.0 90.0 90.0 1.79697E-01 9.71547E-05 3.32411E-02 3.33383E-02 8.54820E-05 0.184984
8 1 20.0 0.0 180.0 6.88447E-02 9.88922E-05 5.88767E-03 5.98656E-03 8.70108E-05 0.085521
8 4 20.0 45.0 135.0 7.68229E-02 9.77291E-05 7.68255E-03 7.78028E-03 8.59874E-05 0.100003
8 7 20.0 90.0 90.0 1.07961E-01 9.72973E-05 1.58931E-02 1.59904E-02 8.56075E-05 0.147211
7 1 30.0 0.0 180.0 4.85075E-02 9.99838E-05 1.78817E-03 1.88815E-03 8.79713E-05 0.036864
7 4 30.0 45.0 135.0 5.29728E-02 9.97558E-05 2.32408E-03 2.42384E-03 8.77706E-05 0.043873
7 7 30.0 90.0 90.0 6.96351E-02 9.87392E-05 5.10833E-03 5.20707E-03 8.68762E-05 0.073358
6 1 40.0 0.0 180.0 3.98474E-02 1.00676E-04 1.17303E-03 1.27370E-03 8.85799E-05 0.029438
6 4 40.0 45.0 135.0 4.26639E-02 1.00339E-04 1.29542E-03 1.39576E-03 8.82842E-05 0.030363
6 7 40.0 90.0 90.0 5.23735E-02 9.93142E-05 1.93409E-03 2.03340E-03 8.73820E-05 0.036929
5 1 50.0 0.0 180.0 3.69076E-02 1.02210E-04 1.49261E-03 1.59482E-03 8.99303E-05 0.040442
5 4 50.0 45.0 135.0 3.89809E-02 1.01343E-04 1.57386E-03 1.67520E-03 8.91674E-05 0.040375
5 7 50.0 90.0 90.0 4.56411E-02 1.00440E-04 1.87153E-03 1.97197E-03 8.83725E-05 0.041005
4 1 60.0 0.0 180.0 3.82816E-02 1.01162E-04 2.93824E-03 3.03940E-03 8.90081E-05 0.076753
4 4 60.0 45.0 135.0 3.99369E-02 1.00188E-04 3.02939E-03 3.12958E-03 8.81511E-05 0.075854
4 7 60.0 90.0 90.0 4.51849E-02 1.00499E-04 3.39562E-03 3.49612E-03 8.84249E-05 0.075150
3 1 70.0 0.0 180.0 4.59106E-02 9.47936E-05 7.34686E-03 7.44165E-03 8.34046E-05 0.160025
3 4 70.0 45.0 135.0 4.71240E-02 9.49296E-05 7.52190E-03 7.61683E-03 8.35243E-05 0.159619
3 7 70.0 90.0 90.0 5.13928E-02 9.51633E-05 8.18250E-03 8.27766E-03 8.37299E-05 0.159215
2 1 80.0 0.0 180.0 6.84638E-02 8.21639E-05 1.74530E-02 1.75351E-02 7.22923E-05 0.254922
2 4 80.0 45.0 135.0 6.87941E-02 8.21002E-05 1.81145E-02 1.81966E-02 7.22362E-05 0.263315
2 7 80.0 90.0 90.0 7.15278E-02 8.22325E-05 1.93935E-02 1.94758E-02 7.23527E-05 0.271133
1 1 87.5 0.0 180.0 1.03211E-01 6.72635E-05 3.04111E-02 3.04783E-02 5.91821E-05 0.294649
1 4 87.5 45.0 135.0 1.01975E-01 6.39708E-05 3.24553E-02 3.25193E-02 5.62851E-05 0.318267
1 7 87.5 90.0 90.0 1.01786E-01 7.08072E-05 3.42098E-02 3.42806E-02 6.23001E-05 0.336097
Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 740.0 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 4.416E-02 2.627E-01 6.684E-02 6.803E-02 7.287E-02 3.885E-02 7.409E-01 9.648E-05 8.489E-05
1 0.00 0.00 1.791E-04 4.747E+00 5.978E-04 7.148E-04 8.406E-04 1.621E-04 4.145E+00
3 31.68 10.00 3.922E-07 2.121E-06 7.452E-07 7.452E-07 7.452E-07 8.591E-02 2.948E+00
5 63.36 20.00 1.254E-07 2.841E-07 1.686E-07 1.686E-07 1.686E-07 1.568E-01 2.988E+00
Waveband 20 of 20 completed in 12.2 sec.
Energy Eo as a function of depth and wavelength
Units are W/m^2 [values are integrated over the wavelength bands]
depth 360.0 380.0 400.0 420.0 440.0 460.0 480.0 500.0 520.0 540.0 560.0 580.0 600.0 620.0 640.0 660.0 680.0 700.0 720.0 740.0
in air 2.302E+01 2.274E+01 3.097E+01 3.747E+01 4.023E+01 4.600E+01 4.532E+01 4.462E+01 4.258E+01 4.299E+01 4.194E+01 4.082E+01 3.895E+01 3.803E+01 3.668E+01 3.504E+01 3.358E+01 3.108E+01 2.743E+01 2.887E+01
0.0 1.757E+01 1.780E+01 2.480E+01 3.031E+01 3.288E+01 3.830E+01 3.842E+01 3.835E+01 3.651E+01 3.712E+01 3.602E+01 3.442E+01 3.167E+01 3.083E+01 2.971E+01 2.833E+01 2.733E+01 2.510E+01 2.206E+01 2.320E+01
10.0 3.184E+00 3.919E+00 6.358E+00 7.985E+00 9.022E+00 1.270E+01 1.490E+01 1.641E+01 1.489E+01 1.582E+01 1.425E+01 1.019E+01 2.050E+00 1.087E+00 6.468E-01 2.190E-01 1.844E-01 3.183E-02 7.573E-04 2.146E-04
20.0 4.183E-01 6.228E-01 1.173E+00 1.510E+00 1.773E+00 3.029E+00 4.169E+00 5.084E+00 4.385E+00 4.870E+00 4.055E+00 2.148E+00 9.515E-02 2.878E-02 1.153E-02 4.827E-03 2.305E-02 2.692E-03 1.554E-04 4.547E-05
Quantum Eo as a function of depth and wavelength
Units are (micromol photons)/(m^2 s) [values are integrated over the wavelength bands]
depth 360.0 380.0 400.0 420.0 440.0 460.0 480.0 500.0 520.0 540.0 560.0 580.0 600.0 620.0 640.0 660.0 680.0 700.0 720.0 740.0
in air 6.926E+01 7.223E+01 1.035E+02 1.315E+02 1.480E+02 1.769E+02 1.818E+02 1.865E+02 1.850E+02 1.940E+02 1.963E+02 1.979E+02 1.953E+02 1.971E+02 1.962E+02 1.933E+02 1.909E+02 1.818E+02 1.650E+02 1.786E+02
0.0 5.286E+01 5.653E+01 8.292E+01 1.064E+02 1.209E+02 1.473E+02 1.541E+02 1.603E+02 1.587E+02 1.675E+02 1.686E+02 1.668E+02 1.588E+02 1.598E+02 1.589E+02 1.563E+02 1.553E+02 1.468E+02 1.327E+02 1.435E+02
10.0 9.581E+00 1.245E+01 2.126E+01 2.803E+01 3.318E+01 4.884E+01 5.976E+01 6.856E+01 6.473E+01 7.139E+01 6.669E+01 4.942E+01 1.028E+01 5.631E+00 3.460E+00 1.208E+00 1.048E+00 1.862E-01 4.557E-03 1.327E-03
20.0 1.259E+00 1.978E+00 3.923E+00 5.300E+00 6.521E+00 1.165E+01 1.673E+01 2.125E+01 1.906E+01 2.198E+01 1.898E+01 1.041E+01 4.771E-01 1.491E-01 6.170E-02 2.663E-02 1.310E-01 1.575E-02 9.349E-04 2.812E-04
PAR as a function of depth
The wavelengths used for this PAR calculation were 400.0 to 700.0 nm
depth PAR(from Eo) PAR(from Ed)
(m) (mumol phot/m^2/s) (mumol phot/m^2/s)
in air 2.8561E+03 2.1539E+03
0.00 2.3695E+03 2.1126E+03
10.00 5.3367E+02 3.7363E+02
20.00 1.3666E+02 8.8883E+01
K-function for PAR (units of 1/meter) (valid only when zupper and zlower are closely spaced)
zupper zlower z KPAR(from Eo)
0.000 0.010 0.005 0.20668
10.000 10.010 10.005 0.13259
20.000 20.010 20.005 0.13959
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 (0.327, 0.339, 1.143E+05) (0.302, 0.336, 4.520E+03) (0.325, 0.343, 4.652E+03) (0.240, 0.344, 3.363E+02) (0.243, 0.339, 0.000E+00)
0.00 (0.326, 0.339, 1.125E+05) (0.242, 0.350, 2.664E+03) (0.240, 0.344, 6.235E+02)
10.00 (0.236, 0.375, 2.808E+04) (0.213, 0.392, 1.092E+03) (0.211, 0.383, 1.988E+02)
20.00 (0.216, 0.412, 7.166E+03) (0.205, 0.430, 3.172E+02) (0.203, 0.420, 5.371E+01)
The Forel-Ule number of the nadir-viewing Rrs is FU = 5
The Forel-Ule number of the nadir-viewing, in-air Lu is FU = 7
The Forel-Ule number of the nadir-viewing Lw is FU = 5
The final depth-averaged photopic alpha and K are alpha = 0.8838 1/m and K = 0.1147 1/m
The final estimate for the Secchi depth is z_SD = 8.01 m
Run completed on 07/17/2013 at 17:46:13.5
Total (wall clock) run time = 123.8 sec