========================================================
| |
| ECOLIGHT Version 5.1.0 (MAIN CODE) |
| Copyright (c) 2008 by Curtis D. Mobley |
| |
| This copy of HE5 is licensed solely to |
| Student Version for Maine 2011 Summer Class |
| |
| S/N Maine_500_31July2011 |
| |
| THIS PROGRAM IS EXPERIMENTAL AND IS LICENSED "AS IS" |
| WITHOUT REPRESENTATION OF WARRANTY OF ANY KIND, |
| EITHER EXPRESS OR IMPLIED. THE ENTIRE RISK AS TO |
| THE QUALITY AND PERFORMANCE OF HYDROLIGHT IS WITH |
| THE USER. HYDROLIGHT IS NOT FAULT TOLERANT. |
| |
========================================================
RUN TITLE: lab 10 closure chl q1 (07/25/2011 14:34)
Run started on 07/25/2011 at 14:34:28.7
The AZIMUTHALLY AVERAGED radiance distribution is computed on the following (Theta, Depth, Wavelength) grid:
I Theta Mu K zeta z L Lambda
(deg) (m) (nm)
1 87.50 0.0436 1 0.000 1 405.00
2 80.00 0.1730 2 5.000 2 415.00
3 70.00 0.3407 3 10.000 3 425.00
4 60.00 0.4981 4 15.000 4 435.00
5 50.00 0.6403 5 20.000 5 445.00
6 40.00 0.7631 6 25.000 6 455.00
7 30.00 0.8627 7 30.000 7 465.00
8 20.00 0.9361 8 35.000 8 475.00
9 10.00 0.9811 9 40.000 9 485.00
10 0.00 0.9981 10 45.000 10 495.00
11 50.000 11 505.00
12 515.00
13 525.00
14 535.00
15 545.00
16 555.00
17 565.00
18 575.00
19 585.00
20 595.00
21 605.00
22 615.00
23 625.00
24 635.00
25 645.00
26 655.00
27 665.00
28 675.00
29 685.00
30 695.00
***** BEGIN IOP MODEL SPECIFICATIONS *****
The IOP routine "abcase1" is being used:
Absorption and scattering coefficients for case 1 water (Gordon and Morel bio-optical models) are used.
component 1 is pure water
component 2 is pigmented particles
component 3 is CDOM that covaries with chlorophyll
Pure water a and b values are obtained from the file:
..\data\H2OabDefaults.txt
(Linear interpolation is used to define values at all wavelengths)
The data file header records from ..\data\H2OabDefaults.txt are:
Default "pure water" absorption (a) and scattering (b) coefficients. Based on:
200-300 nm: R.C. Smith and K. Baker, 1981. Appl. Optics 20(2), 177-184.
191 records read
The phase function for component 1 comes from a file titled
Azimuthally averaged pure water phase function; Ecolight 3.0 standard quads (Oct 2001)
Absorption for component 2 calculated from the Prieur-Sathyenranath-Morel model
141 records read
The Chlorophyll concentration is obtained from measured values read from the file:
C:\Documents and Settings\Faculty\Desktop\Fernanda_hydrolight_files\Hydrolight_cruisesdata\Cruise2_Chl_fer.txt
(Linear interpolation is used to define Chl(z) at all depths)
The data file header records from C:\Documents and Settings\Faculty\Desktop\Fernanda_hydrolight_files\Hydrolight_cruisesdata\Cruise2_Chl_fer.txt are:
Example "chlzdata" file showing the Hydrolight "Chlorophyll-data standard format"
These files are read by Hydrolight subroutine "chlzdata" on file ..\maincode\chlzdata.f
51 records read
Scattering for component 2 calculated using a Power Law model
b = 0.3000 X^(0.6200) * (550./wavenm)^(1.0000)
The phase function for component 2 will be chosen to have a bb/b ratio of 0.0100
Chlorophyll concentrations at the requested output depths
depth Chl
(m) (mg/m^3)
0.000 0.311
5.000 0.647
10.000 1.242
15.000 1.641
20.000 2.556
25.000 1.046
30.000 0.937
35.000 1.006
40.000 0.745
45.000 0.567
50.000 0.382
***** 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 = 0.1 (0 for a clear sky to 1 for a heavy overcast)
The sun is placed in quad Q(r) = Q( 7) centered at theta = 30.000
Diffuse and Direct Sky irradiances are computed using the "RADTRANX" (RADTRAN eXtended for 300-1000 nm) model
The RADTRAN clear-sky irradiances are adjusted for cloudiness by the model of Kasten and Czeplak
Parameter values used in the RADTRANX model:
Solar zenith angle = 30.0 degrees
Pressure = 29.9 in. mercury
Day of year = not set (mean earth-sun distance used)
Air mass type = 1.0
Relative Humidity = 80.0 %
Precipitable water = 2.5 cm
24-hr wind speed = 5.0 m/sec
Current wind speed = 5.0 m/sec
Visibility = 15.0 km
Total ozone = 300.0 Dobson units
Irradiances are computed just above the sea surface
Aerosol optical thickness at 550 nm = 0.261
***** END ATMOSPHERIC MODEL SPECIFICATIONS *****
***** BEGIN AIR-WATER SURFACE SPECIFICATIONS *****
The air-water surface is for a wind speed of 5.0 m/s
Index of refraction is constant for all wavelengths with the value: 1.340
***** END AIR-WATER SURFACE SPECIFICATIONS *****
***** BEGIN BOTTOM BOUNDARY SPECIFICATIONS *****
The bottom boundary is an infinitely deep, homogeneous water body below depth 50.00 m
The actual depth at which the infinitely deep bottom boundary condition will be applied
will be determined dynamically from the IOPs to insure a good solution at the
requested output depths
***** END BOTTOM BOUNDARY SPECIFICATIONS *****
***** WARNING MESSAGES FOR INPUT DATA FILES *****
NUMBER OF FILES WITH WARNINGS: 1
Data file: C:\Documents and Settings\Faculty\Desktop\Fernanda_hydrolight_files\Hydrolight_cruisesdata\Cruise2_Chl_fer.txt
does not extend over the full range of depths and wavelengths selected for this run.
For depths less than 1.0 m the value at 1.0 m will be used
HYDROLIGHT/ECOLIGHT OUTPUTS MAY BE UNPHYSICAL OR INACCURATE
FOR DEPTHS AND WAVELENGTHS OUTSIDE THE RANGE OF THE INPUT DATA.
***** END WARNING MESSAGES FOR INPUT DATA FILES *****
Initialization of Hydrolight Completed in 0.1 sec.
* * * * * Output for wavelength band 1 (400.0 to 410.0 nm; nominal wavelength = 405.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
The infinitely deep bottom boundary condition is applied at 137.1 m at 405.0 nm
RADTRANX clear-sky spectral irradiances averaged over the band from 400.0 nm to 410.0 nm:
Ed(diffuse) = 4.287E-01 Ed(direct) = 6.992E-01 Ed(total) = 1.128E+00
Absorption Coefficients of Individual Components at 405.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0053 0.0219 0.0092 0.0364
2 1.439 5.000 0.0053 0.0353 0.0148 0.0553
3 3.666 10.000 0.0053 0.0539 0.0226 0.0817
4 6.843 15.000 0.0053 0.0646 0.0270 0.0969
5 10.672 20.000 0.0053 0.0861 0.0360 0.1275
6 13.988 25.000 0.0053 0.0482 0.0202 0.0737
7 16.302 30.000 0.0053 0.0449 0.0188 0.0689
8 18.772 35.000 0.0053 0.0470 0.0197 0.0719
9 20.976 40.000 0.0053 0.0387 0.0162 0.0601
10 22.901 45.000 0.0053 0.0324 0.0135 0.0512
11 24.491 50.000 0.0053 0.0250 0.0105 0.0408
Scattering Coefficients of Individual Components at 405.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0072 0.1977 0.0000 0.2049
2 1.439 5.000 0.0072 0.3110 0.0000 0.3182
3 3.666 10.000 0.0072 0.4660 0.0000 0.4732
4 6.843 15.000 0.0072 0.5538 0.0000 0.5610
5 10.672 20.000 0.0072 0.7289 0.0000 0.7361
6 13.988 25.000 0.0072 0.4190 0.0000 0.4262
7 16.302 30.000 0.0072 0.3914 0.0000 0.3985
8 18.772 35.000 0.0072 0.4089 0.0000 0.4161
9 20.976 40.000 0.0072 0.3395 0.0000 0.3467
10 22.901 45.000 0.0072 0.2866 0.0000 0.2938
11 24.491 50.000 0.0072 0.2244 0.0000 0.2316
Backscattering Coefficients of Individual Components at 405.0 nm
(computed from the scattering coefficients and the phase functions)
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.00359 0.00198 0.00000 0.00557
2 1.439 5.000 0.00359 0.00311 0.00000 0.00670
3 3.666 10.000 0.00359 0.00466 0.00000 0.00825
4 6.843 15.000 0.00359 0.00554 0.00000 0.00913
5 10.672 20.000 0.00359 0.00729 0.00000 0.01088
6 13.988 25.000 0.00359 0.00419 0.00000 0.00778
7 16.302 30.000 0.00359 0.00391 0.00000 0.00751
8 18.772 35.000 0.00359 0.00409 0.00000 0.00768
9 20.976 40.000 0.00359 0.00339 0.00000 0.00699
10 22.901 45.000 0.00359 0.00287 0.00000 0.00646
11 24.491 50.000 0.00359 0.00224 0.00000 0.00584
Summary of Inherent Optical Properties at 405.0 nm
iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0364 0.2049 0.2413 0.8491 0.00557 0.02718
2 1.439 5.000 0.0553 0.3182 0.3736 0.8519 0.00670 0.02106
3 3.666 10.000 0.0817 0.4732 0.5550 0.8527 0.00825 0.01744
4 6.843 15.000 0.0969 0.5610 0.6579 0.8527 0.00913 0.01627
5 10.672 20.000 0.1275 0.7361 0.8636 0.8524 0.01088 0.01478
6 13.988 25.000 0.0737 0.4262 0.4999 0.8526 0.00778 0.01826
7 16.302 30.000 0.0689 0.3985 0.4675 0.8525 0.00751 0.01883
8 18.772 35.000 0.0719 0.4161 0.4880 0.8526 0.00768 0.01846
9 20.976 40.000 0.0601 0.3467 0.4068 0.8522 0.00699 0.02015
10 22.901 45.000 0.0512 0.2938 0.3450 0.8516 0.00646 0.02198
11 24.491 50.000 0.0408 0.2316 0.2725 0.8501 0.00584 0.02520
The shape of the asymptotic radiance distribution for source-free water is given by
u theta Linf(theta)
10 0.00 1.0000E+00
9 10.00 9.3622E-01
8 20.00 7.8450E-01
7 30.00 5.9395E-01
6 40.00 4.1492E-01
5 50.00 2.7457E-01
4 60.00 1.7705E-01
3 70.00 1.1458E-01
2 80.00 7.6522E-02
1 87.50 5.7897E-02
1 92.50 4.7977E-02
2 100.00 3.8379E-02
3 110.00 3.0157E-02
4 120.00 2.4955E-02
5 130.00 2.1689E-02
6 140.00 1.9640E-02
7 150.00 1.8367E-02
8 160.00 1.7606E-02
9 170.00 1.7204E-02
10 180.00 1.7064E-02
Asymptotic source-free water AOP values are
MUu(inf) = 0.4083
MUd(inf) = 0.7250
MU(inf) = 0.6218
R(m,inf) = 0.0564
k(inf) = 0.0627 (1/m)
absorp(check) = 0.0390 = k(inf)*MU(inf)
Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 405.0 nm
iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed
in air 1.7405E-01 1.6649E+00 1.8389E+00 6.2924E-02 1.1280E+00 0.3615 0.6775 0.5792 5.5786E-02
1 0.00 0.00 1.1320E-01 1.3110E+00 1.4242E+00 4.8368E-02 1.1138E+00 0.4273 0.8496 0.7481 4.3424E-02
2 1.44 5.00 8.0943E-02 1.0202E+00 1.1012E+00 3.3292E-02 8.2769E-01 0.4113 0.8113 0.7214 4.0222E-02
3 3.67 10.00 4.9838E-02 6.6487E-01 7.1471E-01 1.9853E-02 5.1952E-01 0.3984 0.7814 0.6991 3.8215E-02
4 6.84 15.00 2.5862E-02 3.4681E-01 3.7267E-01 1.0093E-02 2.6327E-01 0.3903 0.7591 0.6794 3.8337E-02
5 10.67 20.00 1.1627E-02 1.5276E-01 1.6438E-01 4.5677E-03 1.1398E-01 0.3929 0.7461 0.6656 4.0077E-02
6 13.99 25.00 6.1612E-03 7.3836E-02 7.9997E-02 2.4400E-03 5.4521E-02 0.3960 0.7384 0.6510 4.4753E-02
7 16.30 30.00 3.6684E-03 4.3858E-02 4.7527E-02 1.4496E-03 3.2224E-02 0.3952 0.7347 0.6475 4.4985E-02
8 18.77 35.00 2.1575E-03 2.5072E-02 2.7230E-02 8.6312E-04 1.8375E-02 0.4001 0.7329 0.6431 4.6974E-02
9 20.98 40.00 1.3701E-03 1.5164E-02 1.6534E-02 5.5404E-04 1.1085E-02 0.4044 0.7310 0.6369 4.9984E-02
10 22.90 45.00 9.2741E-04 9.7302E-03 1.0658E-02 3.7909E-04 7.0980E-03 0.4088 0.7295 0.6304 5.3408E-02
11 24.49 50.00 6.6975E-04 6.7055E-03 7.3753E-03 2.7419E-04 4.8807E-03 0.4094 0.7279 0.6246 5.6179E-02
LAYER-AVERAGE K-functions (units of 1/meter) at 405.0 nm
zupper zlower zmid Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z)
0.000 5.000 2.500 0.06708 0.05016 0.05145 0.07471 0.05939 0.05872 0.08513
5.000 10.000 7.500 0.09699 0.08564 0.08645 0.10339 0.09315 0.09273 0.11262
10.000 15.000 12.500 0.13120 0.13016 0.13024 0.13530 0.13594 0.13597 0.14112
15.000 20.000 17.500 0.15989 0.16399 0.16370 0.15857 0.16744 0.16781 0.15552
20.000 25.000 22.500 0.12700 0.14540 0.14404 0.12541 0.14748 0.14846 0.12284
25.000 30.000 27.500 0.10370 0.10418 0.10414 0.10414 0.10517 0.10522 0.10333
30.000 35.000 32.500 0.10616 0.11184 0.11140 0.10369 0.11235 0.11277 0.09955
35.000 40.000 37.500 0.09081 0.10057 0.09978 0.08866 0.10108 0.10172 0.08506
40.000 45.000 42.500 0.07805 0.08874 0.08783 0.07589 0.08915 0.08987 0.07330
45.000 50.000 47.500 0.06510 0.07446 0.07363 0.06479 0.07490 0.07549 0.06464
Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 405.0 nm
iz zeta z Lu(z) Ld(z) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed
(m) (1/sr) (sr) (nadir) (1/sr)
in air 1.311E-02 1.205E-01 1.162E-02 4.801E+00 6.535E-03 5.794E-03
1 0.00 0.00 1.211E-02 2.213E-01 1.087E-02 3.994E+00
2 1.44 5.00 7.912E-03 2.763E-01 9.558E-03 4.208E+00
3 3.67 10.00 4.505E-03 2.631E-01 8.672E-03 4.407E+00
4 6.84 15.00 2.225E-03 1.745E-01 8.450E-03 4.537E+00
5 10.67 20.00 1.022E-03 8.576E-02 8.969E-03 4.468E+00
6 13.99 25.00 5.531E-04 4.271E-02 1.015E-02 4.411E+00
7 16.30 30.00 3.299E-04 2.552E-02 1.024E-02 4.393E+00
8 18.77 35.00 2.006E-04 1.463E-02 1.092E-02 4.303E+00
9 20.98 40.00 1.311E-04 8.838E-03 1.183E-02 4.226E+00
10 22.90 45.00 9.087E-05 5.657E-03 1.280E-02 4.172E+00
11 24.49 50.00 6.577E-05 3.886E-03 1.348E-02 4.169E+00
Waveband 1 of 30 completed in 0.3 sec.
* * * * * Output for wavelength band 2 (410.0 to 420.0 nm; nominal wavelength = 415.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
The infinitely deep bottom boundary condition is applied at 137.1 m at 415.0 nm
RADTRANX clear-sky spectral irradiances averaged over the band from 410.0 nm to 420.0 nm:
Ed(diffuse) = 4.394E-01 Ed(direct) = 7.590E-01 Ed(total) = 1.198E+00
Absorption Coefficients of Individual Components at 415.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0044 0.0247 0.0080 0.0372
2 1.413 5.000 0.0044 0.0398 0.0128 0.0571
3 3.602 10.000 0.0044 0.0608 0.0196 0.0848
4 6.730 15.000 0.0044 0.0728 0.0235 0.1008
5 10.501 20.000 0.0044 0.0972 0.0313 0.1329
6 13.766 25.000 0.0044 0.0544 0.0175 0.0764
7 16.041 30.000 0.0044 0.0506 0.0163 0.0714
8 18.471 35.000 0.0044 0.0530 0.0171 0.0745
9 20.639 40.000 0.0044 0.0436 0.0141 0.0621
10 22.530 45.000 0.0044 0.0365 0.0118 0.0527
11 24.092 50.000 0.0044 0.0283 0.0091 0.0418
Scattering Coefficients of Individual Components at 415.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0065 0.1929 0.0000 0.1994
2 1.413 5.000 0.0065 0.3035 0.0000 0.3100
3 3.602 10.000 0.0065 0.4548 0.0000 0.4613
4 6.730 15.000 0.0065 0.5405 0.0000 0.5469
5 10.501 20.000 0.0065 0.7113 0.0000 0.7178
6 13.766 25.000 0.0065 0.4089 0.0000 0.4154
7 16.041 30.000 0.0065 0.3819 0.0000 0.3884
8 18.471 35.000 0.0065 0.3990 0.0000 0.4055
9 20.639 40.000 0.0065 0.3313 0.0000 0.3378
10 22.530 45.000 0.0065 0.2797 0.0000 0.2862
11 24.092 50.000 0.0065 0.2190 0.0000 0.2255
Backscattering Coefficients of Individual Components at 415.0 nm
(computed from the scattering coefficients and the phase functions)
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.00323 0.00193 0.00000 0.00516
2 1.413 5.000 0.00323 0.00304 0.00000 0.00627
3 3.602 10.000 0.00323 0.00455 0.00000 0.00778
4 6.730 15.000 0.00323 0.00540 0.00000 0.00864
5 10.501 20.000 0.00323 0.00711 0.00000 0.01035
6 13.766 25.000 0.00323 0.00409 0.00000 0.00732
7 16.041 30.000 0.00323 0.00382 0.00000 0.00705
8 18.471 35.000 0.00323 0.00399 0.00000 0.00722
9 20.639 40.000 0.00323 0.00331 0.00000 0.00655
10 22.530 45.000 0.00323 0.00280 0.00000 0.00603
11 24.092 50.000 0.00323 0.00219 0.00000 0.00542
Summary of Inherent Optical Properties at 415.0 nm
iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0372 0.1994 0.2365 0.8429 0.00516 0.02589
2 1.413 5.000 0.0571 0.3100 0.3671 0.8446 0.00627 0.02022
3 3.602 10.000 0.0848 0.4613 0.5461 0.8446 0.00778 0.01687
4 6.730 15.000 0.1008 0.5469 0.6477 0.8444 0.00864 0.01579
5 10.501 20.000 0.1329 0.7178 0.8507 0.8437 0.01035 0.01441
6 13.766 25.000 0.0764 0.4154 0.4918 0.8447 0.00732 0.01763
7 16.041 30.000 0.0714 0.3884 0.4598 0.8447 0.00705 0.01816
8 18.471 35.000 0.0745 0.4055 0.4800 0.8447 0.00722 0.01781
9 20.639 40.000 0.0621 0.3378 0.3999 0.8447 0.00655 0.01938
10 22.530 45.000 0.0527 0.2862 0.3389 0.8444 0.00603 0.02107
11 24.092 50.000 0.0418 0.2255 0.2673 0.8436 0.00542 0.02405
The shape of the asymptotic radiance distribution for source-free water is given by
u theta Linf(theta)
10 0.00 1.0000E+00
9 10.00 9.3432E-01
8 20.00 7.7867E-01
7 30.00 5.8455E-01
6 40.00 4.0395E-01
5 50.00 2.6403E-01
4 60.00 1.6807E-01
3 70.00 1.0739E-01
2 80.00 7.0879E-02
1 87.50 5.3202E-02
1 92.50 4.3861E-02
2 100.00 3.4873E-02
3 110.00 2.7224E-02
4 120.00 2.2423E-02
5 130.00 1.9427E-02
6 140.00 1.7559E-02
7 150.00 1.6404E-02
8 160.00 1.5717E-02
9 170.00 1.5355E-02
10 180.00 1.5230E-02
Asymptotic source-free water AOP values are
MUu(inf) = 0.4061
MUd(inf) = 0.7304
MU(inf) = 0.6336
R(m,inf) = 0.0517
k(inf) = 0.0629 (1/m)
absorp(check) = 0.0398 = k(inf)*MU(inf)
The CDOM absorption at each wavelength is constant with depth with a value of 0.00 (1/m)
Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 415.0 nm
iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed
in air 1.7727E-01 1.7555E+00 1.9328E+00 6.4217E-02 1.1985E+00 0.3622 0.6827 0.5868 5.3583E-02
1 0.00 0.00 1.1023E-01 1.3840E+00 1.4942E+00 4.6887E-02 1.1816E+00 0.4254 0.8538 0.7594 3.9680E-02
2 1.41 5.00 7.8514E-02 1.0729E+00 1.1514E+00 3.2136E-02 8.7567E-01 0.4093 0.8162 0.7326 3.6698E-02
3 3.60 10.00 4.7890E-02 6.9273E-01 7.4062E-01 1.8983E-02 5.4502E-01 0.3964 0.7868 0.7103 3.4831E-02
4 6.73 15.00 2.4460E-02 3.5550E-01 3.7996E-01 9.4979E-03 2.7190E-01 0.3883 0.7649 0.6906 3.4931E-02
5 10.50 20.00 1.0757E-02 1.5331E-01 1.6406E-01 4.2050E-03 1.1529E-01 0.3909 0.7520 0.6771 3.6472E-02
6 13.77 25.00 5.6161E-03 7.2859E-02 7.8476E-02 2.2127E-03 5.4235E-02 0.3940 0.7444 0.6629 4.0799E-02
7 16.04 30.00 3.3150E-03 4.2902E-02 4.6217E-02 1.3029E-03 3.1775E-02 0.3930 0.7406 0.6593 4.1004E-02
8 18.47 35.00 1.9306E-03 2.4282E-02 2.6212E-02 7.6831E-04 1.7939E-02 0.3980 0.7388 0.6550 4.2830E-02
9 20.64 40.00 1.2175E-03 1.4569E-02 1.5787E-02 4.8986E-04 1.0735E-02 0.4023 0.7369 0.6490 4.5630E-02
10 22.53 45.00 8.2070E-04 9.2942E-03 1.0115E-02 3.3386E-04 6.8343E-03 0.4068 0.7353 0.6427 4.8851E-02
11 24.09 50.00 5.9208E-04 6.3850E-03 6.9770E-03 2.4117E-04 4.6842E-03 0.4073 0.7336 0.6368 5.1487E-02
LAYER-AVERAGE K-functions (units of 1/meter) at 415.0 nm
zupper zlower zmid Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z)
0.000 5.000 2.500 0.06786 0.05092 0.05212 0.07555 0.05993 0.05931 0.08596
5.000 10.000 7.500 0.09887 0.08750 0.08825 0.10528 0.09483 0.09445 0.11451
10.000 15.000 12.500 0.13437 0.13342 0.13348 0.13850 0.13907 0.13910 0.14439
15.000 20.000 17.500 0.16430 0.16822 0.16796 0.16296 0.17160 0.17192 0.15995
20.000 25.000 22.500 0.12998 0.14878 0.14749 0.12841 0.15083 0.15173 0.12590
25.000 30.000 27.500 0.10543 0.10592 0.10589 0.10593 0.10693 0.10697 0.10517
30.000 35.000 32.500 0.10813 0.11384 0.11342 0.10563 0.11434 0.11472 0.10144
35.000 40.000 37.500 0.09220 0.10216 0.10141 0.09002 0.10268 0.10327 0.08637
40.000 45.000 42.500 0.07888 0.08990 0.08903 0.07668 0.09032 0.09100 0.07406
45.000 50.000 47.500 0.06530 0.07509 0.07428 0.06504 0.07555 0.07611 0.06496
Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 415.0 nm
iz zeta z Lu(z) Ld(z) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed
(m) (1/sr) (sr) (nadir) (1/sr)
in air 1.326E-02 1.235E-01 1.106E-02 4.843E+00 6.305E-03 5.261E-03
1 0.00 0.00 1.168E-02 2.268E-01 9.887E-03 4.013E+00
2 1.41 5.00 7.601E-03 2.858E-01 8.680E-03 4.228E+00
3 3.60 10.00 4.288E-03 2.728E-01 7.867E-03 4.427E+00
4 6.73 15.00 2.083E-03 1.801E-01 7.661E-03 4.560E+00
5 10.50 20.00 9.362E-04 8.761E-02 8.121E-03 4.491E+00
6 13.77 25.00 4.989E-04 4.315E-02 9.198E-03 4.435E+00
7 16.04 30.00 2.949E-04 2.563E-02 9.280E-03 4.419E+00
8 18.47 35.00 1.776E-04 1.458E-02 9.898E-03 4.327E+00
9 20.64 40.00 1.153E-04 8.744E-03 1.074E-02 4.249E+00
10 22.53 45.00 7.961E-05 5.568E-03 1.165E-02 4.193E+00
11 24.09 50.00 5.753E-05 3.813E-03 1.228E-02 4.192E+00
Waveband 2 of 30 completed in 0.1 sec.
* * * * * Output for wavelength band 3 (420.0 to 430.0 nm; nominal wavelength = 425.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
The infinitely deep bottom boundary condition is applied at 137.1 m at 425.0 nm
RADTRANX clear-sky spectral irradiances averaged over the band from 420.0 nm to 430.0 nm:
Ed(diffuse) = 4.082E-01 Ed(direct) = 7.412E-01 Ed(total) = 1.149E+00
Absorption Coefficients of Individual Components at 425.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0048 0.0261 0.0069 0.0379
2 1.386 5.000 0.0048 0.0420 0.0112 0.0580
3 3.535 10.000 0.0048 0.0642 0.0170 0.0861
4 6.605 15.000 0.0048 0.0770 0.0204 0.1022
5 10.307 20.000 0.0048 0.1027 0.0272 0.1347
6 13.511 25.000 0.0048 0.0575 0.0152 0.0775
7 15.745 30.000 0.0048 0.0535 0.0142 0.0725
8 18.129 35.000 0.0048 0.0560 0.0149 0.0757
9 20.257 40.000 0.0048 0.0461 0.0122 0.0631
10 22.113 45.000 0.0048 0.0386 0.0102 0.0536
11 23.645 50.000 0.0048 0.0299 0.0079 0.0426
Scattering Coefficients of Individual Components at 425.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0058 0.1884 0.0000 0.1942
2 1.386 5.000 0.0058 0.2964 0.0000 0.3022
3 3.535 10.000 0.0058 0.4441 0.0000 0.4499
4 6.605 15.000 0.0058 0.5277 0.0000 0.5336
5 10.307 20.000 0.0058 0.6946 0.0000 0.7004
6 13.511 25.000 0.0058 0.3993 0.0000 0.4051
7 15.745 30.000 0.0058 0.3729 0.0000 0.3788
8 18.129 35.000 0.0058 0.3897 0.0000 0.3955
9 20.257 40.000 0.0058 0.3235 0.0000 0.3293
10 22.113 45.000 0.0058 0.2731 0.0000 0.2789
11 23.645 50.000 0.0058 0.2139 0.0000 0.2197
Backscattering Coefficients of Individual Components at 425.0 nm
(computed from the scattering coefficients and the phase functions)
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.00292 0.00188 0.00000 0.00480
2 1.386 5.000 0.00292 0.00296 0.00000 0.00588
3 3.535 10.000 0.00292 0.00444 0.00000 0.00736
4 6.605 15.000 0.00292 0.00528 0.00000 0.00819
5 10.307 20.000 0.00292 0.00695 0.00000 0.00986
6 13.511 25.000 0.00292 0.00399 0.00000 0.00691
7 15.745 30.000 0.00292 0.00373 0.00000 0.00665
8 18.129 35.000 0.00292 0.00390 0.00000 0.00681
9 20.257 40.000 0.00292 0.00323 0.00000 0.00615
10 22.113 45.000 0.00292 0.00273 0.00000 0.00565
11 23.645 50.000 0.00292 0.00214 0.00000 0.00506
Summary of Inherent Optical Properties at 425.0 nm
iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0379 0.1942 0.2321 0.8369 0.00480 0.02472
2 1.386 5.000 0.0580 0.3022 0.3602 0.8390 0.00588 0.01946
3 3.535 10.000 0.0861 0.4499 0.5360 0.8394 0.00736 0.01635
4 6.605 15.000 0.1022 0.5336 0.6358 0.8393 0.00819 0.01536
5 10.307 20.000 0.1347 0.7004 0.8351 0.8387 0.00986 0.01408
6 13.511 25.000 0.0775 0.4051 0.4826 0.8394 0.00691 0.01705
7 15.745 30.000 0.0725 0.3788 0.4512 0.8394 0.00665 0.01755
8 18.129 35.000 0.0757 0.3955 0.4711 0.8394 0.00681 0.01723
9 20.257 40.000 0.0631 0.3293 0.3924 0.8392 0.00615 0.01868
10 22.113 45.000 0.0536 0.2789 0.3325 0.8388 0.00565 0.02025
11 23.645 50.000 0.0426 0.2197 0.2623 0.8377 0.00506 0.02301
The shape of the asymptotic radiance distribution for source-free water is given by
u theta Linf(theta)
10 0.00 1.0000E+00
9 10.00 9.3258E-01
8 20.00 7.7333E-01
7 30.00 5.7603E-01
6 40.00 3.9412E-01
5 50.00 2.5471E-01
4 60.00 1.6022E-01
3 70.00 1.0118E-01
2 80.00 6.6066E-02
1 87.50 4.9224E-02
1 92.50 4.0390E-02
2 100.00 3.1929E-02
3 110.00 2.4774E-02
4 120.00 2.0312E-02
5 130.00 1.7545E-02
6 140.00 1.5828E-02
7 150.00 1.4772E-02
8 160.00 1.4146E-02
9 170.00 1.3817E-02
10 180.00 1.3703E-02
Asymptotic source-free water AOP values are
MUu(inf) = 0.4040
MUd(inf) = 0.7352
MU(inf) = 0.6441
R(m,inf) = 0.0477
k(inf) = 0.0630 (1/m)
absorp(check) = 0.0406 = k(inf)*MU(inf)
Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 425.0 nm
iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed
in air 1.6406E-01 1.6726E+00 1.8366E+00 5.9607E-02 1.1494E+00 0.3633 0.6872 0.5934 5.1860E-02
1 0.00 0.00 9.8138E-02 1.3205E+00 1.4186E+00 4.1637E-02 1.1319E+00 0.4243 0.8572 0.7686 3.6785E-02
2 1.39 5.00 7.0238E-02 1.0214E+00 1.0917E+00 2.8660E-02 8.3781E-01 0.4080 0.8202 0.7412 3.4208E-02
3 3.53 10.00 4.3005E-02 6.5829E-01 7.0129E-01 1.6990E-02 5.2069E-01 0.3951 0.7910 0.7183 3.2629E-02
4 6.61 15.00 2.1973E-02 3.3716E-01 3.5914E-01 8.5016E-03 2.5927E-01 0.3869 0.7690 0.6982 3.2791E-02
5 10.31 20.00 9.6430E-03 1.4508E-01 1.5472E-01 3.7515E-03 1.0967E-01 0.3890 0.7559 0.6846 3.4207E-02
6 13.51 25.00 5.0004E-03 6.8795E-02 7.3796E-02 1.9603E-03 5.1482E-02 0.3920 0.7483 0.6711 3.8077E-02
7 15.74 30.00 2.9471E-03 4.0445E-02 4.3392E-02 1.1525E-03 3.0119E-02 0.3910 0.7447 0.6676 3.8263E-02
8 18.13 35.00 1.7110E-03 2.2855E-02 2.4566E-02 6.7708E-04 1.6977E-02 0.3957 0.7428 0.6635 3.9882E-02
9 20.26 40.00 1.0745E-03 1.3693E-02 1.4767E-02 4.2977E-04 1.0146E-02 0.4000 0.7410 0.6580 4.2359E-02
10 22.11 45.00 7.2120E-04 8.7240E-03 9.4452E-03 2.9164E-04 6.4518E-03 0.4044 0.7395 0.6522 4.5203E-02
11 23.65 50.00 5.1842E-04 5.9859E-03 6.5044E-03 2.1001E-04 4.4178E-03 0.4051 0.7380 0.6469 4.7537E-02
LAYER-AVERAGE K-functions (units of 1/meter) at 425.0 nm
zupper zlower zmid Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z)
0.000 5.000 2.500 0.06690 0.05136 0.05239 0.07470 0.06017 0.05964 0.08522
5.000 10.000 7.500 0.09811 0.08786 0.08850 0.10458 0.09513 0.09480 0.11392
10.000 15.000 12.500 0.13430 0.13381 0.13384 0.13847 0.13946 0.13950 0.14448
15.000 20.000 17.500 0.16471 0.16866 0.16841 0.16362 0.17207 0.17237 0.16095
20.000 25.000 22.500 0.13134 0.14923 0.14807 0.12982 0.15125 0.15205 0.12731
25.000 30.000 27.500 0.10574 0.10624 0.10620 0.10624 0.10721 0.10725 0.10556
30.000 35.000 32.500 0.10875 0.11415 0.11378 0.10637 0.11466 0.11500 0.10230
35.000 40.000 37.500 0.09304 0.10246 0.10179 0.09091 0.10296 0.10347 0.08726
40.000 45.000 42.500 0.07973 0.09016 0.08938 0.07755 0.09054 0.09114 0.07484
45.000 50.000 47.500 0.06603 0.07533 0.07461 0.06568 0.07574 0.07623 0.06544
Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 425.0 nm
iz zeta z Lu(z) Ld(z) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed
(m) (1/sr) (sr) (nadir) (1/sr)
in air 1.223E-02 1.147E-01 1.064E-02 4.875E+00 5.583E-03 4.857E-03
1 0.00 0.00 1.034E-02 2.107E-01 9.138E-03 4.025E+00
2 1.39 5.00 6.755E-03 2.676E-01 8.063E-03 4.243E+00
3 3.53 10.00 3.822E-03 2.573E-01 7.339E-03 4.446E+00
4 6.61 15.00 1.856E-03 1.711E-01 7.158E-03 4.581E+00
5 10.31 20.00 8.299E-04 8.364E-02 7.567E-03 4.521E+00
6 13.51 25.00 4.391E-04 4.129E-02 8.529E-03 4.464E+00
7 15.74 30.00 2.590E-04 2.455E-02 8.600E-03 4.449E+00
8 18.13 35.00 1.553E-04 1.397E-02 9.148E-03 4.360E+00
9 20.26 40.00 1.004E-04 8.377E-03 9.895E-03 4.281E+00
10 22.11 45.00 6.905E-05 5.333E-03 1.070E-02 4.223E+00
11 23.65 50.00 4.978E-05 3.652E-03 1.127E-02 4.218E+00
Waveband 3 of 30 completed in 0.1 sec.
* * * * * Output for wavelength band 4 (430.0 to 440.0 nm; nominal wavelength = 435.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
The infinitely deep bottom boundary condition is applied at 137.1 m at 435.0 nm
RADTRANX clear-sky spectral irradiances averaged over the band from 430.0 nm to 440.0 nm:
Ed(diffuse) = 4.073E-01 Ed(direct) = 7.763E-01 Ed(total) = 1.184E+00
Absorption Coefficients of Individual Components at 435.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0053 0.0281 0.0060 0.0394
2 1.366 5.000 0.0053 0.0452 0.0097 0.0602
3 3.485 10.000 0.0053 0.0691 0.0148 0.0892
4 6.511 15.000 0.0053 0.0828 0.0178 0.1058
5 10.160 20.000 0.0053 0.1104 0.0237 0.1394
6 13.319 25.000 0.0053 0.0618 0.0133 0.0804
7 15.521 30.000 0.0053 0.0575 0.0123 0.0752
8 17.871 35.000 0.0053 0.0602 0.0129 0.0784
9 19.968 40.000 0.0053 0.0496 0.0106 0.0655
10 21.798 45.000 0.0053 0.0415 0.0089 0.0557
11 23.309 50.000 0.0053 0.0321 0.0069 0.0443
Scattering Coefficients of Individual Components at 435.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0053 0.1840 0.0000 0.1893
2 1.366 5.000 0.0053 0.2896 0.0000 0.2949
3 3.485 10.000 0.0053 0.4339 0.0000 0.4392
4 6.511 15.000 0.0053 0.5156 0.0000 0.5209
5 10.160 20.000 0.0053 0.6786 0.0000 0.6839
6 13.319 25.000 0.0053 0.3901 0.0000 0.3954
7 15.521 30.000 0.0053 0.3644 0.0000 0.3696
8 17.871 35.000 0.0053 0.3807 0.0000 0.3860
9 19.968 40.000 0.0053 0.3161 0.0000 0.3213
10 21.798 45.000 0.0053 0.2668 0.0000 0.2721
11 23.309 50.000 0.0053 0.2090 0.0000 0.2142
Backscattering Coefficients of Individual Components at 435.0 nm
(computed from the scattering coefficients and the phase functions)
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.00264 0.00184 0.00000 0.00448
2 1.366 5.000 0.00264 0.00290 0.00000 0.00553
3 3.485 10.000 0.00264 0.00434 0.00000 0.00698
4 6.511 15.000 0.00264 0.00516 0.00000 0.00779
5 10.160 20.000 0.00264 0.00679 0.00000 0.00942
6 13.319 25.000 0.00264 0.00390 0.00000 0.00654
7 15.521 30.000 0.00264 0.00364 0.00000 0.00628
8 17.871 35.000 0.00264 0.00381 0.00000 0.00644
9 19.968 40.000 0.00264 0.00316 0.00000 0.00580
10 21.798 45.000 0.00264 0.00267 0.00000 0.00531
11 23.309 50.000 0.00264 0.00209 0.00000 0.00473
Summary of Inherent Optical Properties at 435.0 nm
iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0394 0.1893 0.2288 0.8276 0.00448 0.02365
2 1.366 5.000 0.0602 0.2949 0.3551 0.8304 0.00553 0.01877
3 3.485 10.000 0.0892 0.4392 0.5284 0.8312 0.00698 0.01589
4 6.511 15.000 0.1058 0.5209 0.6267 0.8311 0.00779 0.01496
5 10.160 20.000 0.1394 0.6839 0.8233 0.8307 0.00942 0.01378
6 13.319 25.000 0.0804 0.3954 0.4758 0.8311 0.00654 0.01654
7 15.521 30.000 0.0752 0.3696 0.4448 0.8310 0.00628 0.01699
8 17.871 35.000 0.0784 0.3860 0.4644 0.8311 0.00644 0.01670
9 19.968 40.000 0.0655 0.3213 0.3868 0.8307 0.00580 0.01804
10 21.798 45.000 0.0557 0.2721 0.3278 0.8301 0.00531 0.01950
11 23.309 50.000 0.0443 0.2142 0.2585 0.8286 0.00473 0.02207
The shape of the asymptotic radiance distribution for source-free water is given by
u theta Linf(theta)
10 0.00 1.0000E+00
9 10.00 9.2993E-01
8 20.00 7.6528E-01
7 30.00 5.6339E-01
6 40.00 3.7986E-01
5 50.00 2.4155E-01
4 60.00 1.4947E-01
3 70.00 9.2944E-02
2 80.00 5.9865E-02
1 87.50 4.4213E-02
1 92.50 3.6087E-02
2 100.00 2.8351E-02
3 110.00 2.1858E-02
4 120.00 1.7845E-02
5 130.00 1.5374E-02
6 140.00 1.3852E-02
7 150.00 1.2921E-02
8 160.00 1.2372E-02
9 170.00 1.2085E-02
10 180.00 1.1986E-02
Asymptotic source-free water AOP values are
MUu(inf) = 0.4020
MUd(inf) = 0.7418
MU(inf) = 0.6575
R(m,inf) = 0.0431
k(inf) = 0.0643 (1/m)
absorp(check) = 0.0423 = k(inf)*MU(inf)
Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 435.0 nm
iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed
in air 1.6262E-01 1.7116E+00 1.8742E+00 5.9183E-02 1.1836E+00 0.3639 0.6915 0.6000 5.0001E-02
1 0.00 0.00 9.2142E-02 1.3518E+00 1.4440E+00 3.8987E-02 1.1639E+00 0.4231 0.8610 0.7791 3.3496E-02
2 1.37 5.00 6.5820E-02 1.0369E+00 1.1027E+00 2.6763E-02 8.5515E-01 0.4066 0.8248 0.7513 3.1297E-02
3 3.48 10.00 4.0028E-02 6.6054E-01 7.0057E-01 1.5754E-02 5.2574E-01 0.3936 0.7959 0.7280 2.9965E-02
4 6.51 15.00 2.0173E-02 3.3308E-01 3.5325E-01 7.7744E-03 2.5784E-01 0.3854 0.7741 0.7079 3.0152E-02
5 10.16 20.00 8.6866E-03 1.4072E-01 1.4940E-01 3.3624E-03 1.0710E-01 0.3871 0.7611 0.6944 3.1394E-02
6 13.32 25.00 4.4143E-03 6.5653E-02 7.0067E-02 1.7218E-03 4.9484E-02 0.3901 0.7537 0.6817 3.4796E-02
7 15.52 30.00 2.5717E-03 3.8159E-02 4.0731E-02 1.0005E-03 2.8629E-02 0.3890 0.7503 0.6783 3.4947E-02
8 17.87 35.00 1.4730E-03 2.1311E-02 2.2784E-02 5.7956E-04 1.5949E-02 0.3935 0.7484 0.6746 3.6339E-02
9 19.97 40.00 9.1274E-04 1.2630E-02 1.3543E-02 3.6293E-04 9.4312E-03 0.3976 0.7467 0.6696 3.8482E-02
10 21.80 45.00 6.0524E-04 7.9708E-03 8.5761E-03 2.4332E-04 5.9417E-03 0.4020 0.7454 0.6644 4.0952E-02
11 23.31 50.00 4.3062E-04 5.4251E-03 5.8557E-03 1.7351E-04 4.0368E-03 0.4029 0.7441 0.6598 4.2982E-02
LAYER-AVERAGE K-functions (units of 1/meter) at 435.0 nm
zupper zlower zmid Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z)
0.000 5.000 2.500 0.06728 0.05305 0.05393 0.07524 0.06166 0.06120 0.08592
5.000 10.000 7.500 0.09947 0.09018 0.09072 0.10599 0.09730 0.09702 0.11546
10.000 15.000 12.500 0.13704 0.13694 0.13694 0.14125 0.14249 0.14253 0.14738
15.000 20.000 17.500 0.16852 0.17233 0.17211 0.16764 0.17571 0.17597 0.16529
20.000 25.000 22.500 0.13538 0.15247 0.15144 0.13385 0.15442 0.15513 0.13128
25.000 30.000 27.500 0.10806 0.10852 0.10849 0.10858 0.10945 0.10948 0.10802
30.000 35.000 32.500 0.11146 0.11651 0.11619 0.10920 0.11701 0.11729 0.10524
35.000 40.000 37.500 0.09571 0.10462 0.10403 0.09361 0.10508 0.10552 0.08995
40.000 45.000 42.500 0.08217 0.09206 0.09138 0.07997 0.09241 0.09292 0.07713
45.000 50.000 47.500 0.06808 0.07695 0.07631 0.06763 0.07731 0.07773 0.06722
Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 435.0 nm
iz zeta z Lu(z) Ld(z) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed
(m) (1/sr) (sr) (nadir) (1/sr)
in air 1.204E-02 1.144E-01 1.017E-02 4.917E+00 5.217E-03 4.408E-03
1 0.00 0.00 9.667E-03 2.102E-01 8.305E-03 4.033E+00
2 1.37 5.00 6.291E-03 2.677E-01 7.356E-03 4.254E+00
3 3.48 10.00 3.532E-03 2.569E-01 6.718E-03 4.460E+00
4 6.51 15.00 1.690E-03 1.699E-01 6.556E-03 4.599E+00
5 10.16 20.00 7.397E-04 8.230E-02 6.906E-03 4.546E+00
6 13.32 25.00 3.837E-04 4.021E-02 7.754E-03 4.488E+00
7 15.52 30.00 2.236E-04 2.372E-02 7.809E-03 4.475E+00
8 17.87 35.00 1.321E-04 1.337E-02 8.282E-03 4.387E+00
9 19.97 40.00 8.425E-05 7.946E-03 8.933E-03 4.308E+00
10 21.80 45.00 5.729E-05 5.018E-03 9.642E-03 4.247E+00
11 23.31 50.00 4.094E-05 3.413E-03 1.014E-02 4.239E+00
Waveband 4 of 30 completed in 0.1 sec.
* * * * * Output for wavelength band 5 (440.0 to 450.0 nm; nominal wavelength = 445.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
The infinitely deep bottom boundary condition is applied at 137.1 m at 445.0 nm
RADTRANX clear-sky spectral irradiances averaged over the band from 440.0 nm to 450.0 nm:
Ed(diffuse) = 4.682E-01 Ed(direct) = 9.292E-01 Ed(total) = 1.397E+00
Absorption Coefficients of Individual Components at 445.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0075 0.0273 0.0052 0.0400
2 1.340 5.000 0.0075 0.0439 0.0084 0.0598
3 3.412 10.000 0.0075 0.0670 0.0129 0.0874
4 6.368 15.000 0.0075 0.0803 0.0154 0.1032
5 9.930 20.000 0.0075 0.1071 0.0206 0.1352
6 13.015 25.000 0.0075 0.0599 0.0115 0.0790
7 15.168 30.000 0.0075 0.0558 0.0107 0.0740
8 17.466 35.000 0.0075 0.0584 0.0112 0.0772
9 19.518 40.000 0.0075 0.0481 0.0092 0.0648
10 21.309 45.000 0.0075 0.0403 0.0077 0.0555
11 22.789 50.000 0.0075 0.0312 0.0060 0.0447
Scattering Coefficients of Individual Components at 445.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0048 0.1799 0.0000 0.1847
2 1.340 5.000 0.0048 0.2831 0.0000 0.2879
3 3.412 10.000 0.0048 0.4241 0.0000 0.4289
4 6.368 15.000 0.0048 0.5040 0.0000 0.5088
5 9.930 20.000 0.0048 0.6634 0.0000 0.6682
6 13.015 25.000 0.0048 0.3814 0.0000 0.3861
7 15.168 30.000 0.0048 0.3562 0.0000 0.3610
8 17.466 35.000 0.0048 0.3721 0.0000 0.3769
9 19.518 40.000 0.0048 0.3090 0.0000 0.3137
10 21.309 45.000 0.0048 0.2608 0.0000 0.2656
11 22.789 50.000 0.0048 0.2043 0.0000 0.2091
Backscattering Coefficients of Individual Components at 445.0 nm
(computed from the scattering coefficients and the phase functions)
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.00239 0.00180 0.00000 0.00419
2 1.340 5.000 0.00239 0.00283 0.00000 0.00522
3 3.412 10.000 0.00239 0.00424 0.00000 0.00663
4 6.368 15.000 0.00239 0.00504 0.00000 0.00743
5 9.930 20.000 0.00239 0.00663 0.00000 0.00902
6 13.015 25.000 0.00239 0.00381 0.00000 0.00620
7 15.168 30.000 0.00239 0.00356 0.00000 0.00595
8 17.466 35.000 0.00239 0.00372 0.00000 0.00611
9 19.518 40.000 0.00239 0.00309 0.00000 0.00548
10 21.309 45.000 0.00239 0.00261 0.00000 0.00500
11 22.789 50.000 0.00239 0.00204 0.00000 0.00443
Summary of Inherent Optical Properties at 445.0 nm
iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0400 0.1847 0.2247 0.8219 0.00419 0.02269
2 1.340 5.000 0.0598 0.2879 0.3477 0.8280 0.00522 0.01814
3 3.412 10.000 0.0874 0.4289 0.5163 0.8307 0.00663 0.01546
4 6.368 15.000 0.1032 0.5088 0.6120 0.8313 0.00743 0.01461
5 9.930 20.000 0.1352 0.6682 0.8034 0.8317 0.00902 0.01351
6 13.015 25.000 0.0790 0.3861 0.4651 0.8302 0.00620 0.01607
7 15.168 30.000 0.0740 0.3610 0.4350 0.8298 0.00595 0.01649
8 17.466 35.000 0.0772 0.3769 0.4541 0.8301 0.00611 0.01622
9 19.518 40.000 0.0648 0.3137 0.3786 0.8288 0.00548 0.01747
10 21.309 45.000 0.0555 0.2656 0.3211 0.8272 0.00500 0.01882
11 22.789 50.000 0.0447 0.2091 0.2537 0.8240 0.00443 0.02121
The shape of the asymptotic radiance distribution for source-free water is given by
u theta Linf(theta)
10 0.00 1.0000E+00
9 10.00 9.2848E-01
8 20.00 7.6088E-01
7 30.00 5.5649E-01
6 40.00 3.7212E-01
5 50.00 2.3442E-01
4 60.00 1.4363E-01
3 70.00 8.8453E-02
2 80.00 5.6459E-02
1 87.50 4.1438E-02
1 92.50 3.3685E-02
2 100.00 2.6333E-02
3 110.00 2.0192E-02
4 120.00 1.6416E-02
5 130.00 1.4102E-02
6 140.00 1.2682E-02
7 150.00 1.1816E-02
8 160.00 1.1308E-02
9 170.00 1.1042E-02
10 180.00 1.0951E-02
Asymptotic source-free water AOP values are
MUu(inf) = 0.4000
MUd(inf) = 0.7457
MU(inf) = 0.6657
R(m,inf) = 0.0402
k(inf) = 0.0641 (1/m)
absorp(check) = 0.0427 = k(inf)*MU(inf)
Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 445.0 nm
iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed
in air 1.8700E-01 2.0101E+00 2.1971E+00 6.8349E-02 1.3974E+00 0.3655 0.6952 0.6049 4.8911E-02
1 0.00 0.00 1.0299E-01 1.5906E+00 1.6936E+00 4.3595E-02 1.3733E+00 0.4233 0.8634 0.7851 3.1745E-02
2 1.34 5.00 7.5011E-02 1.2207E+00 1.2958E+00 3.0490E-02 1.0103E+00 0.4065 0.8276 0.7562 3.0177E-02
3 3.41 10.00 4.6748E-02 7.8562E-01 8.3236E-01 1.8380E-02 6.2723E-01 0.3932 0.7984 0.7315 2.9303E-02
4 6.37 15.00 2.4185E-02 4.0448E-01 4.2866E-01 9.3050E-03 3.1380E-01 0.3848 0.7758 0.7103 2.9653E-02
5 9.93 20.00 1.0724E-02 1.7571E-01 1.8643E-01 4.1321E-03 1.3389E-01 0.3853 0.7620 0.6960 3.0862E-02
6 13.01 25.00 5.4852E-03 8.3702E-02 8.9187E-02 2.1290E-03 6.3166E-02 0.3881 0.7547 0.6844 3.3704E-02
7 15.17 30.00 3.2277E-03 4.9138E-02 5.2366E-02 1.2500E-03 3.6926E-02 0.3873 0.7515 0.6813 3.3852E-02
8 17.47 35.00 1.8644E-03 2.7780E-02 2.9645E-02 7.2894E-04 2.0823E-02 0.3910 0.7496 0.6778 3.5007E-02
9 19.52 40.00 1.1561E-03 1.6613E-02 1.7769E-02 4.5643E-04 1.2428E-02 0.3948 0.7481 0.6737 3.6725E-02
10 21.31 45.00 7.6364E-04 1.0547E-02 1.1311E-02 3.0465E-04 7.8802E-03 0.3990 0.7471 0.6697 3.8661E-02
11 22.79 50.00 5.3932E-04 7.1946E-03 7.7339E-03 2.1595E-04 5.3696E-03 0.4004 0.7463 0.6664 4.0218E-02
LAYER-AVERAGE K-functions (units of 1/meter) at 445.0 nm
zupper zlower zmid Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z)
0.000 5.000 2.500 0.06339 0.05293 0.05355 0.07151 0.06138 0.06105 0.08252
5.000 10.000 7.500 0.09457 0.08815 0.08852 0.10123 0.09535 0.09517 0.11100
10.000 15.000 12.500 0.13181 0.13277 0.13272 0.13614 0.13851 0.13859 0.14248
15.000 20.000 17.500 0.16265 0.16676 0.16652 0.16235 0.17035 0.17060 0.16083
20.000 25.000 22.500 0.13408 0.14831 0.14746 0.13263 0.15025 0.15083 0.12994
25.000 30.000 27.500 0.10605 0.10653 0.10650 0.10650 0.10737 0.10740 0.10606
30.000 35.000 32.500 0.10977 0.11406 0.11379 0.10786 0.11457 0.11481 0.10428
35.000 40.000 37.500 0.09559 0.10282 0.10236 0.09363 0.10322 0.10357 0.09004
40.000 45.000 42.500 0.08294 0.09086 0.09034 0.08085 0.09112 0.09153 0.07787
45.000 50.000 47.500 0.06956 0.07651 0.07603 0.06882 0.07672 0.07704 0.06792
Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 445.0 nm
iz zeta z Lu(z) Ld(z) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed
(m) (1/sr) (sr) (nadir) (1/sr)
in air 1.386E-02 1.315E-01 9.919E-03 4.931E+00 5.832E-03 4.173E-03
1 0.00 0.00 1.081E-02 2.416E-01 7.868E-03 4.035E+00
2 1.34 5.00 7.152E-03 3.101E-01 7.079E-03 4.263E+00
3 3.41 10.00 4.106E-03 3.021E-01 6.546E-03 4.476E+00
4 6.37 15.00 2.014E-03 2.048E-01 6.418E-03 4.621E+00
5 9.93 20.00 9.011E-04 1.023E-01 6.731E-03 4.585E+00
6 13.01 25.00 4.706E-04 5.116E-02 7.450E-03 4.524E+00
7 15.17 30.00 2.769E-04 3.056E-02 7.499E-03 4.514E+00
8 17.47 35.00 1.644E-04 1.746E-02 7.895E-03 4.434E+00
9 19.52 40.00 1.048E-04 1.049E-02 8.433E-03 4.355E+00
10 21.31 45.00 7.100E-05 6.676E-03 9.010E-03 4.291E+00
11 22.79 50.00 5.056E-05 4.561E-03 9.416E-03 4.271E+00
Waveband 5 of 30 completed in 0.1 sec.
* * * * * Output for wavelength band 6 (450.0 to 460.0 nm; nominal wavelength = 455.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
The infinitely deep bottom boundary condition is applied at 137.1 m at 455.0 nm
RADTRANX clear-sky spectral irradiances averaged over the band from 450.0 nm to 460.0 nm:
Ed(diffuse) = 4.888E-01 Ed(direct) = 1.007E+00 Ed(total) = 1.495E+00
Absorption Coefficients of Individual Components at 455.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0096 0.0259 0.0046 0.0400
2 1.312 5.000 0.0096 0.0416 0.0073 0.0585
3 3.335 10.000 0.0096 0.0636 0.0112 0.0844
4 6.216 15.000 0.0096 0.0762 0.0134 0.0992
5 9.685 20.000 0.0096 0.1016 0.0179 0.1291
6 12.692 25.000 0.0096 0.0569 0.0100 0.0765
7 14.793 30.000 0.0096 0.0529 0.0093 0.0719
8 17.036 35.000 0.0096 0.0554 0.0098 0.0748
9 19.039 40.000 0.0096 0.0456 0.0080 0.0632
10 20.789 45.000 0.0096 0.0382 0.0067 0.0545
11 22.237 50.000 0.0096 0.0295 0.0052 0.0444
Scattering Coefficients of Individual Components at 455.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0043 0.1760 0.0000 0.1803
2 1.312 5.000 0.0043 0.2769 0.0000 0.2812
3 3.335 10.000 0.0043 0.4148 0.0000 0.4192
4 6.216 15.000 0.0043 0.4929 0.0000 0.4973
5 9.685 20.000 0.0043 0.6488 0.0000 0.6531
6 12.692 25.000 0.0043 0.3730 0.0000 0.3773
7 14.793 30.000 0.0043 0.3484 0.0000 0.3527
8 17.036 35.000 0.0043 0.3640 0.0000 0.3683
9 19.039 40.000 0.0043 0.3022 0.0000 0.3065
10 20.789 45.000 0.0043 0.2551 0.0000 0.2594
11 22.237 50.000 0.0043 0.1998 0.0000 0.2041
Backscattering Coefficients of Individual Components at 455.0 nm
(computed from the scattering coefficients and the phase functions)
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.00217 0.00176 0.00000 0.00393
2 1.312 5.000 0.00217 0.00277 0.00000 0.00494
3 3.335 10.000 0.00217 0.00415 0.00000 0.00632
4 6.216 15.000 0.00217 0.00493 0.00000 0.00710
5 9.685 20.000 0.00217 0.00649 0.00000 0.00866
6 12.692 25.000 0.00217 0.00373 0.00000 0.00590
7 14.793 30.000 0.00217 0.00348 0.00000 0.00566
8 17.036 35.000 0.00217 0.00364 0.00000 0.00581
9 19.039 40.000 0.00217 0.00302 0.00000 0.00519
10 20.789 45.000 0.00217 0.00255 0.00000 0.00472
11 22.237 50.000 0.00217 0.00200 0.00000 0.00417
Summary of Inherent Optical Properties at 455.0 nm
iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0400 0.1803 0.2203 0.8183 0.00393 0.02181
2 1.312 5.000 0.0585 0.2812 0.3398 0.8277 0.00494 0.01757
3 3.335 10.000 0.0844 0.4192 0.5035 0.8324 0.00632 0.01508
4 6.216 15.000 0.0992 0.4973 0.5965 0.8337 0.00710 0.01428
5 9.685 20.000 0.1291 0.6531 0.7822 0.8350 0.00866 0.01326
6 12.692 25.000 0.0765 0.3773 0.4538 0.8315 0.00590 0.01564
7 14.793 30.000 0.0719 0.3527 0.4246 0.8307 0.00566 0.01604
8 17.036 35.000 0.0748 0.3683 0.4431 0.8312 0.00581 0.01578
9 19.039 40.000 0.0632 0.3065 0.3698 0.8290 0.00519 0.01695
10 20.789 45.000 0.0545 0.2594 0.3140 0.8263 0.00472 0.01821
11 22.237 50.000 0.0444 0.2041 0.2485 0.8214 0.00417 0.02043
The shape of the asymptotic radiance distribution for source-free water is given by
u theta Linf(theta)
10 0.00 1.0000E+00
9 10.00 9.2762E-01
8 20.00 7.5829E-01
7 30.00 5.5243E-01
6 40.00 3.6753E-01
5 50.00 2.3015E-01
4 60.00 1.4010E-01
3 70.00 8.5697E-02
2 80.00 5.4333E-02
1 87.50 3.9682E-02
1 92.50 3.2147E-02
2 100.00 2.5023E-02
3 110.00 1.9092E-02
4 120.00 1.5459E-02
5 130.00 1.3239E-02
6 140.00 1.1880E-02
7 150.00 1.1054E-02
8 160.00 1.0569E-02
9 170.00 1.0316E-02
10 180.00 1.0229E-02
Asymptotic source-free water AOP values are
MUu(inf) = 0.3981
MUd(inf) = 0.7481
MU(inf) = 0.6714
R(m,inf) = 0.0382
k(inf) = 0.0634 (1/m)
absorp(check) = 0.0425 = k(inf)*MU(inf)
Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 455.0 nm
iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed
in air 1.9589E-01 2.1409E+00 2.3368E+00 7.1976E-02 1.4954E+00 0.3674 0.6985 0.6091 4.8130E-02
1 0.00 0.00 1.0619E-01 1.6982E+00 1.8044E+00 4.4991E-02 1.4691E+00 0.4237 0.8651 0.7893 3.0625E-02
2 1.31 5.00 7.9175E-02 1.3089E+00 1.3881E+00 3.2197E-02 1.0862E+00 0.4067 0.8299 0.7593 2.9641E-02
3 3.33 10.00 5.0870E-02 8.5578E-01 9.0665E-01 1.9997E-02 6.8468E-01 0.3931 0.8001 0.7331 2.9206E-02
4 6.22 15.00 2.7238E-02 4.5352E-01 4.8076E-01 1.0471E-02 3.5219E-01 0.3844 0.7766 0.7108 2.9731E-02
5 9.69 20.00 1.2560E-02 2.0457E-01 2.1713E-01 4.8208E-03 1.5584E-01 0.3838 0.7618 0.6955 3.0935E-02
6 12.69 25.00 6.5187E-03 1.0035E-01 1.0686E-01 2.5189E-03 7.5700E-02 0.3864 0.7544 0.6848 3.3275E-02
7 14.79 30.00 3.8974E-03 5.9848E-02 6.3745E-02 1.5033E-03 4.4973E-02 0.3857 0.7514 0.6819 3.3426E-02
8 17.04 35.00 2.2844E-03 3.4462E-02 3.6746E-02 8.8786E-04 2.5826E-02 0.3887 0.7494 0.6787 3.4378E-02
9 19.04 40.00 1.4249E-03 2.0910E-02 2.2334E-02 5.5879E-04 1.5644E-02 0.3922 0.7482 0.6754 3.5720E-02
10 20.79 45.00 9.4199E-04 1.3419E-02 1.4361E-02 3.7304E-04 1.0030E-02 0.3960 0.7475 0.6725 3.7191E-02
11 22.24 50.00 6.6277E-04 9.2106E-03 9.8733E-03 2.6378E-04 6.8820E-03 0.3980 0.7472 0.6703 3.8329E-02
LAYER-AVERAGE K-functions (units of 1/meter) at 455.0 nm
zupper zlower zmid Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z)
0.000 5.000 2.500 0.05870 0.05207 0.05245 0.06692 0.06039 0.06019 0.07820
5.000 10.000 7.500 0.08848 0.08499 0.08519 0.09526 0.09230 0.09221 0.10532
10.000 15.000 12.500 0.12493 0.12699 0.12688 0.12939 0.13296 0.13306 0.13596
15.000 20.000 17.500 0.15482 0.15923 0.15898 0.15514 0.16307 0.16332 0.15446
20.000 25.000 22.500 0.13117 0.14245 0.14178 0.12982 0.14441 0.14489 0.12706
25.000 30.000 27.500 0.10287 0.10336 0.10333 0.10323 0.10414 0.10418 0.10292
30.000 35.000 32.500 0.10685 0.11039 0.11017 0.10532 0.11093 0.11113 0.10211
35.000 40.000 37.500 0.09440 0.09993 0.09958 0.09261 0.10027 0.10054 0.08911
40.000 45.000 42.500 0.08277 0.08871 0.08832 0.08082 0.08889 0.08920 0.07771
45.000 50.000 47.500 0.07031 0.07526 0.07494 0.06932 0.07534 0.07558 0.06794
Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 455.0 nm
iz zeta z Lu(z) Ld(z) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed
(m) (1/sr) (sr) (nadir) (1/sr)
in air 1.459E-02 1.373E-01 9.754E-03 4.934E+00 6.015E-03 4.022E-03
1 0.00 0.00 1.115E-02 2.523E-01 7.586E-03 4.037E+00
2 1.31 5.00 7.538E-03 3.269E-01 6.940E-03 4.271E+00
3 3.33 10.00 4.452E-03 3.246E-01 6.503E-03 4.492E+00
4 6.22 15.00 2.256E-03 2.271E-01 6.406E-03 4.641E+00
5 9.69 20.00 1.042E-03 1.179E-01 6.688E-03 4.626E+00
6 12.69 25.00 5.521E-04 6.085E-02 7.294E-03 4.562E+00
7 14.79 30.00 3.300E-04 3.700E-02 7.339E-03 4.555E+00
8 17.04 35.00 1.981E-04 2.155E-02 7.669E-03 4.482E+00
9 19.04 40.00 1.269E-04 1.316E-02 8.109E-03 4.405E+00
10 20.79 45.00 8.602E-05 8.476E-03 8.576E-03 4.337E+00
11 22.24 50.00 6.124E-05 5.838E-03 8.899E-03 4.307E+00
Waveband 6 of 30 completed in 0.1 sec.
* * * * * Output for wavelength band 7 (460.0 to 470.0 nm; nominal wavelength = 465.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
The infinitely deep bottom boundary condition is applied at 137.1 m at 465.0 nm
RADTRANX clear-sky spectral irradiances averaged over the band from 460.0 nm to 470.0 nm:
Ed(diffuse) = 4.757E-01 Ed(direct) = 1.013E+00 Ed(total) = 1.489E+00
Absorption Coefficients of Individual Components at 465.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0101 0.0253 0.0040 0.0394
2 1.283 5.000 0.0101 0.0407 0.0064 0.0572
3 3.259 10.000 0.0101 0.0622 0.0097 0.0820
4 6.073 15.000 0.0101 0.0745 0.0117 0.0963
5 9.461 20.000 0.0101 0.0994 0.0156 0.1250
6 12.398 25.000 0.0101 0.0556 0.0087 0.0744
7 14.451 30.000 0.0101 0.0518 0.0081 0.0700
8 16.642 35.000 0.0101 0.0542 0.0085 0.0728
9 18.599 40.000 0.0101 0.0446 0.0070 0.0617
10 20.309 45.000 0.0101 0.0373 0.0058 0.0533
11 21.725 50.000 0.0101 0.0289 0.0045 0.0435
Scattering Coefficients of Individual Components at 465.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0040 0.1722 0.0000 0.1761
2 1.283 5.000 0.0040 0.2709 0.0000 0.2749
3 3.259 10.000 0.0040 0.4059 0.0000 0.4099
4 6.073 15.000 0.0040 0.4823 0.0000 0.4863
5 9.461 20.000 0.0040 0.6349 0.0000 0.6388
6 12.398 25.000 0.0040 0.3650 0.0000 0.3689
7 14.451 30.000 0.0040 0.3409 0.0000 0.3448
8 16.642 35.000 0.0040 0.3561 0.0000 0.3601
9 18.599 40.000 0.0040 0.2957 0.0000 0.2996
10 20.309 45.000 0.0040 0.2496 0.0000 0.2536
11 21.725 50.000 0.0040 0.1955 0.0000 0.1994
Backscattering Coefficients of Individual Components at 465.0 nm
(computed from the scattering coefficients and the phase functions)
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.00198 0.00172 0.00000 0.00370
2 1.283 5.000 0.00198 0.00271 0.00000 0.00469
3 3.259 10.000 0.00198 0.00406 0.00000 0.00604
4 6.073 15.000 0.00198 0.00482 0.00000 0.00680
5 9.461 20.000 0.00198 0.00635 0.00000 0.00833
6 12.398 25.000 0.00198 0.00365 0.00000 0.00563
7 14.451 30.000 0.00198 0.00341 0.00000 0.00539
8 16.642 35.000 0.00198 0.00356 0.00000 0.00554
9 18.599 40.000 0.00198 0.00296 0.00000 0.00493
10 20.309 45.000 0.00198 0.00250 0.00000 0.00447
11 21.725 50.000 0.00198 0.00195 0.00000 0.00393
Summary of Inherent Optical Properties at 465.0 nm
iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0394 0.1761 0.2155 0.8173 0.00370 0.02100
2 1.283 5.000 0.0572 0.2749 0.3320 0.8278 0.00469 0.01705
3 3.259 10.000 0.0820 0.4099 0.4919 0.8333 0.00604 0.01473
4 6.073 15.000 0.0963 0.4863 0.5826 0.8347 0.00680 0.01399
5 9.461 20.000 0.1250 0.6388 0.7638 0.8363 0.00833 0.01303
6 12.398 25.000 0.0744 0.3689 0.4433 0.8321 0.00563 0.01525
7 14.451 30.000 0.0700 0.3448 0.4148 0.8313 0.00539 0.01562
8 16.642 35.000 0.0728 0.3601 0.4329 0.8318 0.00554 0.01538
9 18.599 40.000 0.0617 0.2996 0.3613 0.8293 0.00493 0.01647
10 20.309 45.000 0.0533 0.2536 0.3069 0.8263 0.00447 0.01764
11 21.725 50.000 0.0435 0.1994 0.2430 0.8208 0.00393 0.01972
The shape of the asymptotic radiance distribution for source-free water is given by
u theta Linf(theta)
10 0.00 1.0000E+00
9 10.00 9.2741E-01
8 20.00 7.5762E-01
7 30.00 5.5132E-01
6 40.00 3.6617E-01
5 50.00 2.2877E-01
4 60.00 1.3884E-01
3 70.00 8.4606E-02
2 80.00 5.3410E-02
1 87.50 3.8868E-02
1 92.50 3.1401E-02
2 100.00 2.4353E-02
3 110.00 1.8498E-02
4 120.00 1.4917E-02
5 130.00 1.2734E-02
6 140.00 1.1399E-02
7 150.00 1.0588E-02
8 160.00 1.0112E-02
9 170.00 9.8641E-03
10 180.00 9.7788E-03
Asymptotic source-free water AOP values are
MUu(inf) = 0.3962
MUd(inf) = 0.7492
MU(inf) = 0.6745
R(m,inf) = 0.0369
k(inf) = 0.0619 (1/m)
absorp(check) = 0.0418 = k(inf)*MU(inf)
Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 465.0 nm
iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed
in air 1.9224E-01 2.1228E+00 2.3150E+00 7.1138E-02 1.4892E+00 0.3700 0.7015 0.6126 4.7769E-02
1 0.00 0.00 1.0517E-01 1.6900E+00 1.7951E+00 4.4551E-02 1.4633E+00 0.4236 0.8659 0.7903 3.0447E-02
2 1.28 5.00 7.9372E-02 1.3122E+00 1.3915E+00 3.2288E-02 1.0905E+00 0.4068 0.8311 0.7605 2.9609E-02
3 3.26 10.00 5.1918E-02 8.6999E-01 9.2191E-01 2.0419E-02 6.9702E-01 0.3933 0.8012 0.7339 2.9294E-02
4 6.07 15.00 2.8449E-02 4.7125E-01 4.9970E-01 1.0939E-02 3.6629E-01 0.3845 0.7773 0.7111 2.9865E-02
5 9.46 20.00 1.3489E-02 2.1841E-01 2.3190E-01 5.1736E-03 1.6642E-01 0.3835 0.7620 0.6954 3.1087E-02
6 12.40 25.00 7.1271E-03 1.0960E-01 1.1673E-01 2.7501E-03 8.2681E-02 0.3859 0.7544 0.6848 3.3262E-02
7 14.45 30.00 4.3252E-03 6.6353E-02 7.0678E-02 1.6660E-03 4.9857E-02 0.3852 0.7514 0.6818 3.3416E-02
8 16.64 35.00 2.5737E-03 3.8834E-02 4.1408E-02 9.9835E-04 2.9097E-02 0.3879 0.7493 0.6786 3.4311E-02
9 18.60 40.00 1.6235E-03 2.3895E-02 2.5519E-02 6.3515E-04 1.7873E-02 0.3912 0.7480 0.6755 3.5536E-02
10 20.31 45.00 1.0826E-03 1.5518E-02 1.6601E-02 4.2750E-04 1.1597E-02 0.3949 0.7473 0.6728 3.6863E-02
11 21.72 50.00 7.6632E-04 1.0751E-02 1.1518E-02 3.0419E-04 8.0327E-03 0.3970 0.7471 0.6710 3.7869E-02
LAYER-AVERAGE K-functions (units of 1/meter) at 465.0 nm
zupper zlower zmid Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z)
0.000 5.000 2.500 0.05628 0.05061 0.05094 0.06439 0.05881 0.05864 0.07556
5.000 10.000 7.500 0.08490 0.08219 0.08234 0.09165 0.08951 0.08945 0.10166
10.000 15.000 12.500 0.12031 0.12262 0.12249 0.12482 0.12868 0.12880 0.13142
15.000 20.000 17.500 0.14925 0.15381 0.15354 0.14976 0.15778 0.15803 0.14938
20.000 25.000 22.500 0.12760 0.13790 0.13729 0.12638 0.13991 0.14036 0.12376
25.000 30.000 27.500 0.09989 0.10037 0.10034 0.10024 0.10117 0.10120 0.09996
30.000 35.000 32.500 0.10382 0.10714 0.10693 0.10242 0.10771 0.10789 0.09937
35.000 40.000 37.500 0.09216 0.09712 0.09681 0.09045 0.09746 0.09772 0.08705
40.000 45.000 42.500 0.08105 0.08633 0.08599 0.07918 0.08651 0.08679 0.07612
45.000 50.000 47.500 0.06910 0.07340 0.07311 0.06806 0.07345 0.07366 0.06660
Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 465.0 nm
iz zeta z Lu(z) Ld(z) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed
(m) (1/sr) (sr) (nadir) (1/sr)
in air 1.446E-02 1.337E-01 9.711E-03 4.919E+00 5.946E-03 3.992E-03
1 0.00 0.00 1.102E-02 2.455E-01 7.528E-03 4.044E+00
2 1.28 5.00 7.550E-03 3.218E-01 6.923E-03 4.277E+00
3 3.26 10.00 4.541E-03 3.252E-01 6.515E-03 4.496E+00
4 6.07 15.00 2.354E-03 2.334E-01 6.426E-03 4.647E+00
5 9.46 20.00 1.115E-03 1.248E-01 6.702E-03 4.638E+00
6 12.40 25.00 6.007E-04 6.605E-02 7.266E-03 4.578E+00
7 14.45 30.00 3.644E-04 4.082E-02 7.310E-03 4.572E+00
8 16.64 35.00 2.217E-04 2.418E-02 7.621E-03 4.502E+00
9 18.60 40.00 1.435E-04 1.498E-02 8.028E-03 4.427E+00
10 20.31 45.00 9.807E-05 9.772E-03 8.456E-03 4.359E+00
11 21.72 50.00 7.029E-05 6.798E-03 8.751E-03 4.328E+00
Waveband 7 of 30 completed in 0.1 sec.
* * * * * Output for wavelength band 8 (470.0 to 480.0 nm; nominal wavelength = 475.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
The infinitely deep bottom boundary condition is applied at 137.1 m at 475.0 nm
RADTRANX clear-sky spectral irradiances averaged over the band from 470.0 nm to 480.0 nm:
Ed(diffuse) = 4.727E-01 Ed(direct) = 1.039E+00 Ed(total) = 1.512E+00
Absorption Coefficients of Individual Components at 475.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0114 0.0233 0.0034 0.0382
2 1.251 5.000 0.0114 0.0375 0.0055 0.0545
3 3.173 10.000 0.0114 0.0573 0.0085 0.0772
4 5.908 15.000 0.0114 0.0687 0.0101 0.0902
5 9.199 20.000 0.0114 0.0916 0.0135 0.1166
6 12.051 25.000 0.0114 0.0513 0.0076 0.0703
7 14.049 30.000 0.0114 0.0477 0.0070 0.0662
8 16.179 35.000 0.0114 0.0500 0.0074 0.0688
9 18.083 40.000 0.0114 0.0411 0.0061 0.0586
10 19.748 45.000 0.0114 0.0344 0.0051 0.0509
11 21.128 50.000 0.0114 0.0267 0.0039 0.0420
Scattering Coefficients of Individual Components at 475.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0036 0.1685 0.0000 0.1721
2 1.251 5.000 0.0036 0.2652 0.0000 0.2688
3 3.173 10.000 0.0036 0.3974 0.0000 0.4010
4 5.908 15.000 0.0036 0.4722 0.0000 0.4758
5 9.199 20.000 0.0036 0.6215 0.0000 0.6251
6 12.051 25.000 0.0036 0.3573 0.0000 0.3609
7 14.049 30.000 0.0036 0.3337 0.0000 0.3373
8 16.179 35.000 0.0036 0.3486 0.0000 0.3522
9 18.083 40.000 0.0036 0.2894 0.0000 0.2931
10 19.748 45.000 0.0036 0.2444 0.0000 0.2480
11 21.128 50.000 0.0036 0.1914 0.0000 0.1950
Backscattering Coefficients of Individual Components at 475.0 nm
(computed from the scattering coefficients and the phase functions)
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.00180 0.00169 0.00000 0.00349
2 1.251 5.000 0.00180 0.00265 0.00000 0.00446
3 3.173 10.000 0.00180 0.00397 0.00000 0.00578
4 5.908 15.000 0.00180 0.00472 0.00000 0.00653
5 9.199 20.000 0.00180 0.00621 0.00000 0.00802
6 12.051 25.000 0.00180 0.00357 0.00000 0.00538
7 14.049 30.000 0.00180 0.00334 0.00000 0.00514
8 16.179 35.000 0.00180 0.00349 0.00000 0.00529
9 18.083 40.000 0.00180 0.00289 0.00000 0.00470
10 19.748 45.000 0.00180 0.00244 0.00000 0.00425
11 21.128 50.000 0.00180 0.00191 0.00000 0.00372
Summary of Inherent Optical Properties at 475.0 nm
iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0382 0.1721 0.2103 0.8185 0.00349 0.02027
2 1.251 5.000 0.0545 0.2688 0.3233 0.8315 0.00446 0.01658
3 3.173 10.000 0.0772 0.4010 0.4782 0.8385 0.00578 0.01441
4 5.908 15.000 0.0902 0.4758 0.5660 0.8406 0.00653 0.01372
5 9.199 20.000 0.1166 0.6251 0.7417 0.8428 0.00802 0.01283
6 12.051 25.000 0.0703 0.3609 0.4311 0.8370 0.00538 0.01490
7 14.049 30.000 0.0662 0.3373 0.4035 0.8359 0.00514 0.01524
8 16.179 35.000 0.0688 0.3522 0.4210 0.8367 0.00529 0.01502
9 18.083 40.000 0.0586 0.2931 0.3517 0.8334 0.00470 0.01603
10 19.748 45.000 0.0509 0.2480 0.2989 0.8296 0.00425 0.01713
11 21.128 50.000 0.0420 0.1950 0.2370 0.8228 0.00372 0.01907
The shape of the asymptotic radiance distribution for source-free water is given by
u theta Linf(theta)
10 0.00 1.0000E+00
9 10.00 9.2791E-01
8 20.00 7.5906E-01
7 30.00 5.5343E-01
6 40.00 3.6832E-01
5 50.00 2.3050E-01
4 60.00 1.4000E-01
3 70.00 8.5277E-02
2 80.00 5.3743E-02
1 87.50 3.9027E-02
1 92.50 3.1465E-02
2 100.00 2.4331E-02
3 110.00 1.8407E-02
4 120.00 1.4786E-02
5 130.00 1.2578E-02
6 140.00 1.1228E-02
7 150.00 1.0407E-02
8 160.00 9.9257E-03
9 170.00 9.6741E-03
10 180.00 9.5876E-03
Asymptotic source-free water AOP values are
MUu(inf) = 0.3943
MUd(inf) = 0.7488
MU(inf) = 0.6749
R(m,inf) = 0.0364
k(inf) = 0.0598 (1/m)
absorp(check) = 0.0404 = k(inf)*MU(inf)
Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 475.0 nm
iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed
in air 1.9297E-01 2.1463E+00 2.3393E+00 7.1931E-02 1.5117E+00 0.3728 0.7043 0.6155 4.7583E-02
1 0.00 0.00 1.0711E-01 1.7152E+00 1.8223E+00 4.5443E-02 1.4859E+00 0.4243 0.8663 0.7904 3.0583E-02
2 1.25 5.00 8.2970E-02 1.3472E+00 1.4302E+00 3.3809E-02 1.1207E+00 0.4075 0.8319 0.7600 3.0167E-02
3 3.17 10.00 5.6256E-02 9.1552E-01 9.7178E-01 2.2153E-02 7.3370E-01 0.3938 0.8014 0.7322 3.0194E-02
4 5.91 15.00 3.2205E-02 5.1608E-01 5.4828E-01 1.2390E-02 4.0071E-01 0.3847 0.7765 0.7082 3.0920E-02
5 9.20 20.00 1.6061E-02 2.5145E-01 2.6751E-01 6.1443E-03 1.9112E-01 0.3826 0.7601 0.6915 3.2148E-02
6 12.05 25.00 8.7223E-03 1.3144E-01 1.4016E-01 3.3542E-03 9.8874E-02 0.3846 0.7522 0.6815 3.3924E-02
7 14.05 30.00 5.4266E-03 8.1601E-02 8.7027E-02 2.0835E-03 6.1146E-02 0.3839 0.7493 0.6787 3.4074E-02
8 16.18 35.00 3.3078E-03 4.9108E-02 5.2416E-02 1.2766E-03 3.6684E-02 0.3859 0.7470 0.6755 3.4799E-02
9 18.08 40.00 2.1193E-03 3.0933E-02 3.3052E-02 8.2415E-04 2.3071E-02 0.3889 0.7459 0.6731 3.5722E-02
10 19.75 45.00 1.4274E-03 2.0476E-02 2.1904E-02 5.5984E-04 1.5263E-02 0.3922 0.7454 0.6712 3.6681E-02
11 21.13 50.00 1.0152E-03 1.4385E-02 1.5400E-02 4.0063E-04 1.0725E-02 0.3946 0.7456 0.6704 3.7356E-02
LAYER-AVERAGE K-functions (units of 1/meter) at 475.0 nm
zupper zlower zmid Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z)
0.000 5.000 2.500 0.05107 0.04830 0.04846 0.05914 0.05640 0.05632 0.07042
5.000 10.000 7.500 0.07771 0.07726 0.07728 0.08455 0.08473 0.08473 0.09477
10.000 15.000 12.500 0.11156 0.11465 0.11447 0.11622 0.12097 0.12112 0.12307
15.000 20.000 17.500 0.13915 0.14380 0.14352 0.14027 0.14806 0.14832 0.14071
20.000 25.000 22.500 0.12210 0.12974 0.12927 0.12106 0.13182 0.13218 0.11852
25.000 30.000 27.500 0.09491 0.09534 0.09531 0.09524 0.09612 0.09615 0.09510
30.000 35.000 32.500 0.09901 0.10156 0.10140 0.09797 0.10218 0.10233 0.09531
35.000 40.000 37.500 0.08904 0.09244 0.09223 0.08752 0.09275 0.09295 0.08426
40.000 45.000 42.500 0.07904 0.08251 0.08228 0.07734 0.08264 0.08283 0.07423
45.000 50.000 47.500 0.06815 0.07062 0.07046 0.06692 0.07057 0.07071 0.06511
Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 475.0 nm
iz zeta z Lu(z) Ld(z) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed
(m) (1/sr) (sr) (nadir) (1/sr)
in air 1.468E-02 1.328E-01 9.712E-03 4.899E+00 6.056E-03 4.006E-03
1 0.00 0.00 1.122E-02 2.440E-01 7.551E-03 4.050E+00
2 1.25 5.00 7.890E-03 3.245E-01 7.040E-03 4.285E+00
3 3.17 10.00 4.912E-03 3.364E-01 6.695E-03 4.510E+00
4 5.91 15.00 2.655E-03 2.513E-01 6.626E-03 4.667E+00
5 9.20 20.00 1.314E-03 1.413E-01 6.874E-03 4.677E+00
6 12.05 25.00 7.263E-04 7.789E-02 7.346E-03 4.618E+00
7 14.05 30.00 4.515E-04 4.941E-02 7.384E-03 4.615E+00
8 16.18 35.00 2.803E-04 3.010E-02 7.642E-03 4.554E+00
9 18.08 40.00 1.840E-04 1.910E-02 7.973E-03 4.480E+00
10 19.75 45.00 1.269E-04 1.271E-02 8.315E-03 4.411E+00
11 21.13 50.00 9.165E-05 8.978E-03 8.545E-03 4.371E+00
Waveband 8 of 30 completed in 0.1 sec.
* * * * * Output for wavelength band 9 (480.0 to 490.0 nm; nominal wavelength = 485.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
The infinitely deep bottom boundary condition is applied at 137.1 m at 485.0 nm
RADTRANX clear-sky spectral irradiances averaged over the band from 480.0 nm to 490.0 nm:
Ed(diffuse) = 4.491E-01 Ed(direct) = 1.015E+00 Ed(total) = 1.464E+00
Absorption Coefficients of Individual Components at 485.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0136 0.0216 0.0030 0.0382
2 1.226 5.000 0.0136 0.0348 0.0048 0.0532
3 3.105 10.000 0.0136 0.0532 0.0074 0.0742
4 5.772 15.000 0.0136 0.0637 0.0088 0.0862
5 8.978 20.000 0.0136 0.0850 0.0118 0.1104
6 11.760 25.000 0.0136 0.0476 0.0066 0.0678
7 13.711 30.000 0.0136 0.0443 0.0061 0.0640
8 15.791 35.000 0.0136 0.0464 0.0064 0.0664
9 17.651 40.000 0.0136 0.0382 0.0053 0.0570
10 19.280 45.000 0.0136 0.0320 0.0044 0.0500
11 20.632 50.000 0.0136 0.0247 0.0034 0.0417
Scattering Coefficients of Individual Components at 485.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0033 0.1651 0.0000 0.1684
2 1.226 5.000 0.0033 0.2597 0.0000 0.2630
3 3.105 10.000 0.0033 0.3892 0.0000 0.3925
4 5.772 15.000 0.0033 0.4624 0.0000 0.4657
5 8.978 20.000 0.0033 0.6087 0.0000 0.6120
6 11.760 25.000 0.0033 0.3499 0.0000 0.3532
7 13.711 30.000 0.0033 0.3268 0.0000 0.3301
8 15.791 35.000 0.0033 0.3415 0.0000 0.3447
9 17.651 40.000 0.0033 0.2835 0.0000 0.2868
10 19.280 45.000 0.0033 0.2393 0.0000 0.2426
11 20.632 50.000 0.0033 0.1874 0.0000 0.1907
Backscattering Coefficients of Individual Components at 485.0 nm
(computed from the scattering coefficients and the phase functions)
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.00165 0.00165 0.00000 0.00330
2 1.226 5.000 0.00165 0.00260 0.00000 0.00425
3 3.105 10.000 0.00165 0.00389 0.00000 0.00554
4 5.772 15.000 0.00165 0.00462 0.00000 0.00627
5 8.978 20.000 0.00165 0.00609 0.00000 0.00774
6 11.760 25.000 0.00165 0.00350 0.00000 0.00515
7 13.711 30.000 0.00165 0.00327 0.00000 0.00492
8 15.791 35.000 0.00165 0.00341 0.00000 0.00506
9 17.651 40.000 0.00165 0.00283 0.00000 0.00448
10 19.280 45.000 0.00165 0.00239 0.00000 0.00404
11 20.632 50.000 0.00165 0.00187 0.00000 0.00352
Summary of Inherent Optical Properties at 485.0 nm
iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0382 0.1684 0.2066 0.8149 0.00330 0.01960
2 1.226 5.000 0.0532 0.2630 0.3163 0.8317 0.00425 0.01614
3 3.105 10.000 0.0742 0.3925 0.4666 0.8411 0.00554 0.01412
4 5.772 15.000 0.0862 0.4657 0.5519 0.8439 0.00627 0.01347
5 8.978 20.000 0.1104 0.6120 0.7223 0.8472 0.00774 0.01264
6 11.760 25.000 0.0678 0.3532 0.4210 0.8390 0.00515 0.01457
7 13.711 30.000 0.0640 0.3301 0.3941 0.8376 0.00492 0.01489
8 15.791 35.000 0.0664 0.3447 0.4111 0.8385 0.00506 0.01469
9 17.651 40.000 0.0570 0.2868 0.3438 0.8341 0.00448 0.01563
10 19.280 45.000 0.0500 0.2426 0.2926 0.8292 0.00404 0.01666
11 20.632 50.000 0.0417 0.1907 0.2325 0.8204 0.00352 0.01847
The shape of the asymptotic radiance distribution for source-free water is given by
u theta Linf(theta)
10 0.00 1.0000E+00
9 10.00 9.2709E-01
8 20.00 7.5660E-01
7 30.00 5.4960E-01
6 40.00 3.6405E-01
5 50.00 2.2658E-01
4 60.00 1.3681E-01
3 70.00 8.2833E-02
2 80.00 5.1895E-02
1 87.50 3.7523E-02
1 92.50 3.0163E-02
2 100.00 2.3236E-02
3 110.00 1.7502E-02
4 120.00 1.4007E-02
5 130.00 1.1882E-02
6 140.00 1.0586E-02
7 150.00 9.7990E-03
8 160.00 9.3382E-03
9 170.00 9.0977E-03
10 180.00 9.0150E-03
Asymptotic source-free water AOP values are
MUu(inf) = 0.3926
MUd(inf) = 0.7510
MU(inf) = 0.6798
R(m,inf) = 0.0347
k(inf) = 0.0592 (1/m)
absorp(check) = 0.0403 = k(inf)*MU(inf)
Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 485.0 nm
iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed
in air 1.8397E-01 2.0715E+00 2.2555E+00 6.8887E-02 1.4641E+00 0.3744 0.7068 0.6186 4.7050E-02
1 0.00 0.00 1.0089E-01 1.6584E+00 1.7593E+00 4.2901E-02 1.4388E+00 0.4252 0.8676 0.7934 2.9818E-02
2 1.23 5.00 8.0000E-02 1.3071E+00 1.3871E+00 3.2654E-02 1.0896E+00 0.4082 0.8336 0.7620 2.9968E-02
3 3.10 10.00 5.5892E-02 9.0154E-01 9.5743E-01 2.2028E-02 7.2362E-01 0.3941 0.8027 0.7328 3.0441E-02
4 5.77 15.00 3.3081E-02 5.2268E-01 5.5576E-01 1.2725E-02 4.0601E-01 0.3847 0.7768 0.7077 3.1342E-02
5 8.98 20.00 1.7118E-02 2.6430E-01 2.8141E-01 6.5220E-03 2.0071E-01 0.3810 0.7594 0.6900 3.2495E-02
6 11.76 25.00 9.4068E-03 1.4216E-01 1.5157E-01 3.6012E-03 1.0684E-01 0.3828 0.7515 0.6811 3.3708E-02
7 13.71 30.00 5.9381E-03 8.9584E-02 9.5522E-02 2.2701E-03 6.7090E-02 0.3823 0.7489 0.6786 3.3837E-02
8 15.79 35.00 3.6658E-03 5.4871E-02 5.8537E-02 1.4055E-03 4.0961E-02 0.3834 0.7465 0.6757 3.4312E-02
9 17.65 40.00 2.3573E-03 3.5038E-02 3.7395E-02 9.0988E-04 2.6122E-02 0.3860 0.7456 0.6742 3.4831E-02
10 19.28 45.00 1.5857E-03 2.3425E-02 2.5011E-02 6.1688E-04 1.7461E-02 0.3890 0.7454 0.6735 3.5329E-02
11 20.63 50.00 1.1213E-03 1.6543E-02 1.7664E-02 4.3959E-04 1.2343E-02 0.3920 0.7461 0.6739 3.5615E-02
LAYER-AVERAGE K-functions (units of 1/meter) at 485.0 nm
zupper zlower zmid Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z)
0.000 5.000 2.500 0.04640 0.04761 0.04754 0.05458 0.05559 0.05562 0.06618
5.000 10.000 7.500 0.07172 0.07429 0.07414 0.07874 0.08187 0.08196 0.08935
10.000 15.000 12.500 0.10489 0.10903 0.10878 0.10974 0.11558 0.11576 0.11696
15.000 20.000 17.500 0.13177 0.13638 0.13610 0.13368 0.14091 0.14115 0.13513
20.000 25.000 22.500 0.11974 0.12402 0.12376 0.11878 0.12611 0.12636 0.11612
25.000 30.000 27.500 0.09201 0.09236 0.09234 0.09229 0.09306 0.09308 0.09237
30.000 35.000 32.500 0.09647 0.09804 0.09794 0.09589 0.09868 0.09878 0.09366
35.000 40.000 37.500 0.08830 0.08971 0.08963 0.08696 0.08997 0.09007 0.08379
40.000 45.000 42.500 0.07930 0.08052 0.08045 0.07773 0.08057 0.08067 0.07442
45.000 50.000 47.500 0.06931 0.06957 0.06956 0.06777 0.06938 0.06944 0.06543
Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 485.0 nm
iz zeta z Lu(z) Ld(z) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed
(m) (1/sr) (sr) (nadir) (1/sr)
in air 1.406E-02 1.262E-01 9.604E-03 4.899E+00 5.722E-03 3.908E-03
1 0.00 0.00 1.060E-02 2.318E-01 7.368E-03 4.047E+00
2 1.23 5.00 7.615E-03 3.102E-01 6.988E-03 4.288E+00
3 3.10 10.00 4.871E-03 3.269E-01 6.732E-03 4.522E+00
4 5.77 15.00 2.714E-03 2.515E-01 6.685E-03 4.688E+00
5 8.98 20.00 1.381E-03 1.468E-01 6.881E-03 4.722E+00
6 11.76 25.00 7.728E-04 8.339E-02 7.234E-03 4.660E+00
7 13.71 30.00 4.870E-04 5.381E-02 7.258E-03 4.662E+00
8 15.79 35.00 3.049E-04 3.340E-02 7.443E-03 4.610E+00
9 17.65 40.00 2.005E-04 2.151E-02 7.676E-03 4.538E+00
10 19.28 45.00 1.382E-04 1.448E-02 7.916E-03 4.463E+00
11 20.63 50.00 9.965E-05 1.030E-02 8.074E-03 4.411E+00
Waveband 9 of 30 completed in 0.2 sec.
* * * * * Output for wavelength band 10 (490.0 to 500.0 nm; nominal wavelength = 495.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
The infinitely deep bottom boundary condition is applied at 137.1 m at 495.0 nm
RADTRANX clear-sky spectral irradiances averaged over the band from 490.0 nm to 500.0 nm:
Ed(diffuse) = 4.478E-01 Ed(direct) = 1.039E+00 Ed(total) = 1.487E+00
Absorption Coefficients of Individual Components at 495.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0173 0.0200 0.0026 0.0399
2 1.211 5.000 0.0173 0.0321 0.0042 0.0536
3 3.055 10.000 0.0173 0.0490 0.0064 0.0727
4 5.664 15.000 0.0173 0.0588 0.0077 0.0837
5 8.797 20.000 0.0173 0.0784 0.0102 0.1059
6 11.518 25.000 0.0173 0.0439 0.0057 0.0669
7 13.432 30.000 0.0173 0.0408 0.0053 0.0635
8 15.472 35.000 0.0173 0.0428 0.0056 0.0656
9 17.299 40.000 0.0173 0.0352 0.0046 0.0571
10 18.900 45.000 0.0173 0.0295 0.0038 0.0506
11 20.233 50.000 0.0173 0.0228 0.0030 0.0431
Scattering Coefficients of Individual Components at 495.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0030 0.1617 0.0000 0.1648
2 1.211 5.000 0.0030 0.2545 0.0000 0.2575
3 3.055 10.000 0.0030 0.3813 0.0000 0.3843
4 5.664 15.000 0.0030 0.4531 0.0000 0.4561
5 8.797 20.000 0.0030 0.5964 0.0000 0.5994
6 11.518 25.000 0.0030 0.3428 0.0000 0.3459
7 13.432 30.000 0.0030 0.3202 0.0000 0.3232
8 15.472 35.000 0.0030 0.3346 0.0000 0.3376
9 17.299 40.000 0.0030 0.2778 0.0000 0.2808
10 18.900 45.000 0.0030 0.2345 0.0000 0.2375
11 20.233 50.000 0.0030 0.1836 0.0000 0.1867
Backscattering Coefficients of Individual Components at 495.0 nm
(computed from the scattering coefficients and the phase functions)
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.00151 0.00162 0.00000 0.00313
2 1.211 5.000 0.00151 0.00254 0.00000 0.00405
3 3.055 10.000 0.00151 0.00381 0.00000 0.00532
4 5.664 15.000 0.00151 0.00453 0.00000 0.00604
5 8.797 20.000 0.00151 0.00596 0.00000 0.00747
6 11.518 25.000 0.00151 0.00343 0.00000 0.00494
7 13.432 30.000 0.00151 0.00320 0.00000 0.00471
8 15.472 35.000 0.00151 0.00335 0.00000 0.00486
9 17.299 40.000 0.00151 0.00278 0.00000 0.00429
10 18.900 45.000 0.00151 0.00234 0.00000 0.00385
11 20.233 50.000 0.00151 0.00184 0.00000 0.00335
Summary of Inherent Optical Properties at 495.0 nm
iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0399 0.1648 0.2046 0.8052 0.00313 0.01898
2 1.211 5.000 0.0536 0.2575 0.3111 0.8277 0.00405 0.01574
3 3.055 10.000 0.0727 0.3843 0.4571 0.8408 0.00532 0.01385
4 5.664 15.000 0.0837 0.4561 0.5399 0.8449 0.00604 0.01324
5 8.797 20.000 0.1059 0.5994 0.7053 0.8498 0.00747 0.01247
6 11.518 25.000 0.0669 0.3459 0.4128 0.8379 0.00494 0.01428
7 13.432 30.000 0.0635 0.3232 0.3867 0.8359 0.00471 0.01458
8 15.472 35.000 0.0656 0.3376 0.4032 0.8372 0.00486 0.01438
9 17.299 40.000 0.0571 0.2808 0.3378 0.8311 0.00429 0.01527
10 18.900 45.000 0.0506 0.2375 0.2881 0.8244 0.00385 0.01623
11 20.233 50.000 0.0431 0.1867 0.2297 0.8125 0.00335 0.01792
The shape of the asymptotic radiance distribution for source-free water is given by
u theta Linf(theta)
10 0.00 1.0000E+00
9 10.00 9.2462E-01
8 20.00 7.4924E-01
7 30.00 5.3839E-01
6 40.00 3.5190E-01
5 50.00 2.1587E-01
4 60.00 1.2849E-01
3 70.00 7.6789E-02
2 80.00 4.7574E-02
1 87.50 3.4158E-02
1 92.50 2.7348E-02
2 100.00 2.0967E-02
3 110.00 1.5715E-02
4 120.00 1.2536E-02
5 130.00 1.0614E-02
6 140.00 9.4468E-03
7 150.00 8.7420E-03
8 160.00 8.3310E-03
9 170.00 8.1171E-03
10 180.00 8.0437E-03
Asymptotic source-free water AOP values are
MUu(inf) = 0.3911
MUd(inf) = 0.7565
MU(inf) = 0.6899
R(m,inf) = 0.0318
k(inf) = 0.0605 (1/m)
absorp(check) = 0.0417 = k(inf)*MU(inf)
Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 495.0 nm
iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed
in air 1.8298E-01 2.0965E+00 2.2795E+00 6.8664E-02 1.4866E+00 0.3752 0.7091 0.6220 4.6188E-02
1 0.00 0.00 9.6430E-02 1.6785E+00 1.7750E+00 4.1157E-02 1.4598E+00 0.4268 0.8697 0.7992 2.8194E-02
2 1.21 5.00 7.8127E-02 1.3153E+00 1.3934E+00 3.1965E-02 1.0999E+00 0.4091 0.8363 0.7665 2.9060E-02
3 3.05 10.00 5.6004E-02 9.1176E-01 9.6776E-01 2.2091E-02 7.3389E-01 0.3945 0.8049 0.7355 3.0101E-02
4 5.66 15.00 3.3992E-02 5.3818E-01 5.7217E-01 1.3071E-02 4.1880E-01 0.3845 0.7782 0.7091 3.1211E-02
5 8.80 20.00 1.8055E-02 2.7953E-01 2.9759E-01 6.8404E-03 2.1237E-01 0.3789 0.7597 0.6907 3.2209E-02
6 11.52 25.00 9.8791E-03 1.5309E-01 1.6297E-01 3.7619E-03 1.1514E-01 0.3808 0.7521 0.6834 3.2673E-02
7 13.43 30.00 6.2606E-03 9.6909E-02 1.0317E-01 2.3816E-03 7.2688E-02 0.3804 0.7501 0.6815 3.2764E-02
8 15.47 35.00 3.8692E-03 5.9813E-02 6.3682E-02 1.4719E-03 4.4719E-02 0.3804 0.7476 0.6791 3.2914E-02
9 17.30 40.00 2.4651E-03 3.8329E-02 4.0794E-02 9.4324E-04 2.8637E-02 0.3826 0.7471 0.6789 3.2938E-02
10 18.90 45.00 1.6340E-03 2.5621E-02 2.7255E-02 6.2981E-04 1.9151E-02 0.3854 0.7475 0.6795 3.2887E-02
11 20.23 50.00 1.1338E-03 1.8009E-02 1.9142E-02 4.4149E-04 1.3488E-02 0.3894 0.7490 0.6815 3.2733E-02
LAYER-AVERAGE K-functions (units of 1/meter) at 495.0 nm
zupper zlower zmid Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z)
0.000 5.000 2.500 0.04210 0.04878 0.04841 0.05055 0.05660 0.05678 0.06275
5.000 10.000 7.500 0.06658 0.07328 0.07290 0.07389 0.08093 0.08115 0.08513
10.000 15.000 12.500 0.09986 0.10544 0.10511 0.10495 0.11219 0.11242 0.11270
15.000 20.000 17.500 0.12654 0.13102 0.13075 0.12951 0.13581 0.13602 0.13220
20.000 25.000 22.500 0.12060 0.12042 0.12043 0.11958 0.12245 0.12254 0.11653
25.000 30.000 27.500 0.09123 0.09145 0.09143 0.09144 0.09199 0.09201 0.09180
30.000 35.000 32.500 0.09625 0.09651 0.09650 0.09624 0.09716 0.09719 0.09451
35.000 40.000 37.500 0.09016 0.08900 0.08907 0.08900 0.08914 0.08915 0.08583
40.000 45.000 42.500 0.08224 0.08056 0.08066 0.08078 0.08047 0.08046 0.07713
45.000 50.000 47.500 0.07310 0.07051 0.07066 0.07105 0.07011 0.07008 0.06788
Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 495.0 nm
iz zeta z Lu(z) Ld(z) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed
(m) (1/sr) (sr) (nadir) (1/sr)
in air 1.397E-02 1.258E-01 9.395E-03 4.916E+00 5.514E-03 3.709E-03
1 0.00 0.00 1.022E-02 2.311E-01 6.998E-03 4.029E+00
2 1.21 5.00 7.464E-03 3.085E-01 6.786E-03 4.282E+00
3 3.05 10.00 4.877E-03 3.275E-01 6.645E-03 4.530E+00
4 5.66 15.00 2.776E-03 2.570E-01 6.628E-03 4.709E+00
5 8.80 20.00 1.433E-03 1.542E-01 6.748E-03 4.773E+00
6 11.52 25.00 8.003E-04 8.944E-02 6.951E-03 4.701E+00
7 13.43 30.00 5.057E-04 5.817E-02 6.958E-03 4.709E+00
8 15.47 35.00 3.153E-04 3.644E-02 7.050E-03 4.669E+00
9 17.30 40.00 2.053E-04 2.361E-02 7.168E-03 4.595E+00
10 18.90 45.00 1.396E-04 1.594E-02 7.288E-03 4.512E+00
11 20.23 50.00 9.941E-05 1.132E-02 7.370E-03 4.441E+00
Waveband 10 of 30 completed in 0.1 sec.
* * * * * Output for wavelength band 11 (500.0 to 510.0 nm; nominal wavelength = 505.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
The infinitely deep bottom boundary condition is applied at 136.4 m at 505.0 nm
RADTRANX clear-sky spectral irradiances averaged over the band from 500.0 nm to 510.0 nm:
Ed(diffuse) = 4.326E-01 Ed(direct) = 1.028E+00 Ed(total) = 1.460E+00
Absorption Coefficients of Individual Components at 505.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0256 0.0180 0.0023 0.0459
2 1.218 5.000 0.0256 0.0289 0.0036 0.0582
3 3.050 10.000 0.0256 0.0442 0.0056 0.0754
4 5.623 15.000 0.0256 0.0530 0.0067 0.0852
5 8.704 20.000 0.0256 0.0707 0.0089 0.1052
6 11.385 25.000 0.0256 0.0395 0.0050 0.0701
7 13.286 30.000 0.0256 0.0368 0.0046 0.0670
8 15.307 35.000 0.0256 0.0385 0.0048 0.0690
9 17.122 40.000 0.0256 0.0317 0.0040 0.0613
10 18.718 45.000 0.0256 0.0266 0.0033 0.0555
11 20.054 50.000 0.0256 0.0206 0.0026 0.0487
Scattering Coefficients of Individual Components at 505.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0028 0.1585 0.0000 0.1613
2 1.218 5.000 0.0028 0.2495 0.0000 0.2522
3 3.050 10.000 0.0028 0.3738 0.0000 0.3765
4 5.623 15.000 0.0028 0.4441 0.0000 0.4469
5 8.704 20.000 0.0028 0.5846 0.0000 0.5873
6 11.385 25.000 0.0028 0.3360 0.0000 0.3388
7 13.286 30.000 0.0028 0.3139 0.0000 0.3166
8 15.307 35.000 0.0028 0.3279 0.0000 0.3307
9 17.122 40.000 0.0028 0.2723 0.0000 0.2750
10 18.718 45.000 0.0028 0.2298 0.0000 0.2326
11 20.054 50.000 0.0028 0.1800 0.0000 0.1828
Backscattering Coefficients of Individual Components at 505.0 nm
(computed from the scattering coefficients and the phase functions)
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.00138 0.00159 0.00000 0.00297
2 1.218 5.000 0.00138 0.00249 0.00000 0.00388
3 3.050 10.000 0.00138 0.00374 0.00000 0.00512
4 5.623 15.000 0.00138 0.00444 0.00000 0.00583
5 8.704 20.000 0.00138 0.00585 0.00000 0.00723
6 11.385 25.000 0.00138 0.00336 0.00000 0.00475
7 13.286 30.000 0.00138 0.00314 0.00000 0.00452
8 15.307 35.000 0.00138 0.00328 0.00000 0.00466
9 17.122 40.000 0.00138 0.00272 0.00000 0.00411
10 18.718 45.000 0.00138 0.00230 0.00000 0.00368
11 20.054 50.000 0.00138 0.00180 0.00000 0.00318
Summary of Inherent Optical Properties at 505.0 nm
iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0459 0.1613 0.2072 0.7786 0.00297 0.01841
2 1.218 5.000 0.0582 0.2522 0.3104 0.8126 0.00388 0.01538
3 3.050 10.000 0.0754 0.3765 0.4519 0.8332 0.00512 0.01360
4 5.623 15.000 0.0852 0.4469 0.5321 0.8398 0.00583 0.01304
5 8.704 20.000 0.1052 0.5873 0.6925 0.8482 0.00723 0.01231
6 11.385 25.000 0.0701 0.3388 0.4089 0.8285 0.00475 0.01400
7 13.286 30.000 0.0670 0.3166 0.3837 0.8253 0.00452 0.01429
8 15.307 35.000 0.0690 0.3307 0.3997 0.8274 0.00466 0.01410
9 17.122 40.000 0.0613 0.2750 0.3363 0.8177 0.00411 0.01493
10 18.718 45.000 0.0555 0.2326 0.2881 0.8074 0.00368 0.01583
11 20.054 50.000 0.0487 0.1828 0.2315 0.7895 0.00318 0.01742
The shape of the asymptotic radiance distribution for source-free water is given by
u theta Linf(theta)
10 0.00 1.0000E+00
9 10.00 9.1760E-01
8 20.00 7.2871E-01
7 30.00 5.0799E-01
6 40.00 3.2010E-01
5 50.00 1.8897E-01
4 60.00 1.0848E-01
3 70.00 6.2857E-02
2 80.00 3.8014E-02
1 87.50 2.6929E-02
1 92.50 2.1424E-02
2 100.00 1.6312E-02
3 110.00 1.2156E-02
4 120.00 9.6780E-03
5 130.00 8.1987E-03
6 140.00 7.3111E-03
7 150.00 6.7815E-03
8 160.00 6.4760E-03
9 170.00 6.3186E-03
10 180.00 6.2648E-03
Asymptotic source-free water AOP values are
MUu(inf) = 0.3902
MUd(inf) = 0.7703
MU(inf) = 0.7129
R(m,inf) = 0.0263
k(inf) = 0.0667 (1/m)
absorp(check) = 0.0475 = k(inf)*MU(inf)
Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 505.0 nm
iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed
in air 1.7403E-01 2.0535E+00 2.2276E+00 6.5126E-02 1.4605E+00 0.3742 0.7112 0.6264 4.4592E-02
1 0.00 0.00 8.2353E-02 1.6385E+00 1.7209E+00 3.5387E-02 1.4314E+00 0.4297 0.8736 0.8112 2.4722E-02
2 1.22 5.00 6.7708E-02 1.2450E+00 1.3127E+00 2.7809E-02 1.0470E+00 0.4107 0.8410 0.7765 2.6560E-02
3 3.05 10.00 4.9269E-02 8.4633E-01 8.9560E-01 1.9457E-02 6.8515E-01 0.3949 0.8096 0.7433 2.8398E-02
4 5.62 15.00 3.0086E-02 4.9680E-01 5.2689E-01 1.1562E-02 3.8855E-01 0.3843 0.7821 0.7155 2.9757E-02
5 8.70 20.00 1.6031E-02 2.5919E-01 2.7523E-01 6.0169E-03 1.9765E-01 0.3753 0.7625 0.6963 3.0442E-02
6 11.39 25.00 8.3823E-03 1.4101E-01 1.4939E-01 3.1689E-03 1.0658E-01 0.3780 0.7559 0.6922 2.9731E-02
7 13.29 30.00 5.1915E-03 8.7355E-02 9.2546E-02 1.9630E-03 6.5969E-02 0.3781 0.7552 0.6916 2.9757E-02
8 15.31 35.00 3.1225E-03 5.2993E-02 5.6116E-02 1.1758E-03 3.9906E-02 0.3766 0.7530 0.6902 2.9464E-02
9 17.12 40.00 1.9064E-03 3.3223E-02 3.5129E-02 7.2165E-04 2.5030E-02 0.3785 0.7534 0.6920 2.8831E-02
10 18.72 45.00 1.2038E-03 2.1641E-02 2.2845E-02 4.5888E-04 1.6334E-02 0.3812 0.7547 0.6949 2.8094E-02
11 20.05 50.00 7.9079E-04 1.4745E-02 1.5536E-02 3.0595E-04 1.1172E-02 0.3869 0.7576 0.6994 2.7387E-02
LAYER-AVERAGE K-functions (units of 1/meter) at 505.0 nm
zupper zlower zmid Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z)
0.000 5.000 2.500 0.03916 0.05494 0.05416 0.04820 0.06254 0.06292 0.06161
5.000 10.000 7.500 0.06358 0.07719 0.07646 0.07143 0.08481 0.08519 0.08389
10.000 15.000 12.500 0.09865 0.10654 0.10610 0.10409 0.11345 0.11373 0.11272
15.000 20.000 17.500 0.12591 0.13012 0.12988 0.13063 0.13519 0.13533 0.13525
20.000 25.000 22.500 0.12968 0.12175 0.12220 0.12824 0.12351 0.12336 0.12398
25.000 30.000 27.500 0.09582 0.09577 0.09577 0.09578 0.09595 0.09596 0.09647
30.000 35.000 32.500 0.10168 0.09996 0.10006 0.10252 0.10053 0.10047 0.10147
35.000 40.000 37.500 0.09868 0.09339 0.09368 0.09763 0.09329 0.09316 0.09429
40.000 45.000 42.500 0.09196 0.08572 0.08606 0.09055 0.08537 0.08522 0.08624
45.000 50.000 47.500 0.08403 0.07674 0.07712 0.08107 0.07597 0.07583 0.07641
Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 505.0 nm
iz zeta z Lu(z) Ld(z) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed
(m) (1/sr) (sr) (nadir) (1/sr)
in air 1.310E-02 1.215E-01 8.967E-03 4.973E+00 4.805E-03 3.290E-03
1 0.00 0.00 8.902E-03 2.232E-01 6.219E-03 3.975E+00
2 1.22 5.00 6.542E-03 2.904E-01 6.248E-03 4.251E+00
3 3.05 10.00 4.301E-03 3.037E-01 6.277E-03 4.524E+00
4 5.62 15.00 2.448E-03 2.379E-01 6.300E-03 4.723E+00
5 8.70 20.00 1.245E-03 1.436E-01 6.298E-03 4.834E+00
6 11.39 25.00 6.697E-04 8.324E-02 6.283E-03 4.732E+00
7 13.29 30.00 4.134E-04 5.338E-02 6.267E-03 4.748E+00
8 15.31 35.00 2.489E-04 3.300E-02 6.237E-03 4.724E+00
9 17.12 40.00 1.553E-04 2.103E-02 6.206E-03 4.646E+00
10 18.72 45.00 1.009E-04 1.390E-02 6.179E-03 4.546E+00
11 20.05 50.00 6.888E-05 9.640E-03 6.166E-03 4.442E+00
Waveband 11 of 30 completed in 0.2 sec.
* * * * * Output for wavelength band 12 (510.0 to 520.0 nm; nominal wavelength = 515.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
The infinitely deep bottom boundary condition is applied at 135.8 m at 515.0 nm
RADTRANX clear-sky spectral irradiances averaged over the band from 510.0 nm to 520.0 nm:
Ed(diffuse) = 4.102E-01 Ed(direct) = 9.960E-01 Ed(total) = 1.406E+00
Absorption Coefficients of Individual Components at 515.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0396 0.0163 0.0020 0.0579
2 1.256 5.000 0.0396 0.0262 0.0032 0.0690
3 3.109 10.000 0.0396 0.0401 0.0048 0.0845
4 5.681 15.000 0.0396 0.0480 0.0058 0.0934
5 8.746 20.000 0.0396 0.0640 0.0077 0.1114
6 11.424 25.000 0.0396 0.0358 0.0043 0.0798
7 13.343 30.000 0.0396 0.0334 0.0040 0.0770
8 15.379 35.000 0.0396 0.0349 0.0042 0.0787
9 17.215 40.000 0.0396 0.0287 0.0035 0.0718
10 18.839 45.000 0.0396 0.0241 0.0029 0.0666
11 20.210 50.000 0.0396 0.0186 0.0022 0.0605
Scattering Coefficients of Individual Components at 515.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0025 0.1555 0.0000 0.1580
2 1.256 5.000 0.0025 0.2446 0.0000 0.2472
3 3.109 10.000 0.0025 0.3665 0.0000 0.3690
4 5.681 15.000 0.0025 0.4355 0.0000 0.4381
5 8.746 20.000 0.0025 0.5732 0.0000 0.5758
6 11.424 25.000 0.0025 0.3295 0.0000 0.3321
7 13.343 30.000 0.0025 0.3078 0.0000 0.3103
8 15.379 35.000 0.0025 0.3216 0.0000 0.3241
9 17.215 40.000 0.0025 0.2670 0.0000 0.2695
10 18.839 45.000 0.0025 0.2254 0.0000 0.2279
11 20.210 50.000 0.0025 0.1765 0.0000 0.1791
Backscattering Coefficients of Individual Components at 515.0 nm
(computed from the scattering coefficients and the phase functions)
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.00127 0.00155 0.00000 0.00283
2 1.256 5.000 0.00127 0.00245 0.00000 0.00372
3 3.109 10.000 0.00127 0.00366 0.00000 0.00494
4 5.681 15.000 0.00127 0.00436 0.00000 0.00563
5 8.746 20.000 0.00127 0.00573 0.00000 0.00700
6 11.424 25.000 0.00127 0.00330 0.00000 0.00457
7 13.343 30.000 0.00127 0.00308 0.00000 0.00435
8 15.379 35.000 0.00127 0.00322 0.00000 0.00449
9 17.215 40.000 0.00127 0.00267 0.00000 0.00394
10 18.839 45.000 0.00127 0.00225 0.00000 0.00353
11 20.210 50.000 0.00127 0.00177 0.00000 0.00304
Summary of Inherent Optical Properties at 515.0 nm
iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0579 0.1580 0.2159 0.7319 0.00283 0.01789
2 1.256 5.000 0.0690 0.2472 0.3161 0.7818 0.00372 0.01504
3 3.109 10.000 0.0845 0.3690 0.4535 0.8137 0.00494 0.01338
4 5.681 15.000 0.0934 0.4381 0.5315 0.8242 0.00563 0.01285
5 8.746 20.000 0.1114 0.5758 0.6871 0.8379 0.00700 0.01217
6 11.424 25.000 0.0798 0.3321 0.4118 0.8063 0.00457 0.01375
7 13.343 30.000 0.0770 0.3103 0.3873 0.8012 0.00435 0.01402
8 15.379 35.000 0.0787 0.3241 0.4029 0.8045 0.00449 0.01385
9 17.215 40.000 0.0718 0.2695 0.3413 0.7896 0.00394 0.01463
10 18.839 45.000 0.0666 0.2279 0.2945 0.7739 0.00353 0.01547
11 20.210 50.000 0.0605 0.1791 0.2395 0.7475 0.00304 0.01696
The shape of the asymptotic radiance distribution for source-free water is given by
u theta Linf(theta)
10 0.00 1.0000E+00
9 10.00 9.0480E-01
8 20.00 6.9251E-01
7 30.00 4.5705E-01
6 40.00 2.7003E-01
5 50.00 1.4931E-01
4 60.00 8.0809E-02
3 70.00 4.4655E-02
2 80.00 2.6096E-02
1 87.50 1.8167E-02
1 92.50 1.4358E-02
2 100.00 1.0857E-02
3 110.00 8.0556E-03
4 120.00 6.4191E-03
5 130.00 5.4599E-03
6 140.00 4.8948E-03
7 150.00 4.5642E-03
8 160.00 4.3772E-03
9 170.00 4.2824E-03
10 180.00 4.2504E-03
Asymptotic source-free water AOP values are
MUu(inf) = 0.3908
MUd(inf) = 0.7919
MU(inf) = 0.7467
R(m,inf) = 0.0196
k(inf) = 0.0795 (1/m)
absorp(check) = 0.0594 = k(inf)*MU(inf)
Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 515.0 nm
iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed
in air 1.6039E-01 1.9720E+00 2.1324E+00 5.9539E-02 1.4063E+00 0.3712 0.7131 0.6315 4.2339E-02
1 0.00 0.00 6.2583E-02 1.5638E+00 1.6263E+00 2.7060E-02 1.3744E+00 0.4324 0.8789 0.8285 1.9688E-02
2 1.26 5.00 5.1065E-02 1.1124E+00 1.1634E+00 2.1039E-02 9.4290E-01 0.4120 0.8477 0.7924 2.2313E-02
3 3.11 10.00 3.6731E-02 7.1408E-01 7.5081E-01 1.4511E-02 5.8344E-01 0.3951 0.8170 0.7577 2.4872E-02
4 5.68 15.00 2.1771E-02 4.0057E-01 4.2234E-01 8.3594E-03 3.1629E-01 0.3840 0.7896 0.7291 2.6429E-02
5 8.75 20.00 1.1203E-02 2.0150E-01 2.1271E-01 4.1578E-03 1.5504E-01 0.3711 0.7694 0.7093 2.6818E-02
6 11.42 25.00 5.3094E-03 1.0456E-01 1.0987E-01 1.9936E-03 7.9936E-02 0.3755 0.7645 0.7094 2.4939E-02
7 13.34 30.00 3.0946E-03 6.1010E-02 6.4104E-02 1.1658E-03 4.6723E-02 0.3767 0.7658 0.7107 2.4951E-02
8 15.38 35.00 1.7467E-03 3.5035E-02 3.6782E-02 6.5257E-04 2.6775E-02 0.3736 0.7642 0.7102 2.4372E-02
9 17.22 40.00 9.8290E-04 2.0703E-02 2.1686E-02 3.6951E-04 1.5856E-02 0.3759 0.7659 0.7141 2.3304E-02
10 18.84 45.00 5.6936E-04 1.2671E-02 1.3240E-02 2.1566E-04 9.7373E-03 0.3788 0.7685 0.7191 2.2147E-02
11 20.21 50.00 3.4090E-04 8.0775E-03 8.4184E-03 1.3177E-04 6.2439E-03 0.3865 0.7730 0.7260 2.1105E-02
LAYER-AVERAGE K-functions (units of 1/meter) at 515.0 nm
zupper zlower zmid Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z)
0.000 5.000 2.500 0.04068 0.06812 0.06699 0.05034 0.07536 0.07590 0.06514
5.000 10.000 7.500 0.06590 0.08865 0.08759 0.07429 0.09601 0.09653 0.08816
10.000 15.000 12.500 0.10461 0.11562 0.11507 0.11031 0.12245 0.12277 0.11973
15.000 20.000 17.500 0.13288 0.13742 0.13718 0.13968 0.14260 0.14268 0.14655
20.000 25.000 22.500 0.14934 0.13120 0.13212 0.14701 0.13249 0.13210 0.14065
25.000 30.000 27.500 0.10797 0.10775 0.10776 0.10730 0.10740 0.10740 0.10800
30.000 35.000 32.500 0.11438 0.11094 0.11110 0.11605 0.11136 0.11124 0.11562
35.000 40.000 37.500 0.11500 0.10521 0.10566 0.11375 0.10479 0.10457 0.11001
40.000 45.000 42.500 0.10920 0.09819 0.09868 0.10770 0.09752 0.09728 0.10262
45.000 50.000 47.500 0.10258 0.09005 0.09057 0.09852 0.08887 0.08866 0.09199
Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 515.0 nm
iz zeta z Lu(z) Ld(z) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed
(m) (1/sr) (sr) (nadir) (1/sr)
in air 1.172E-02 1.153E-01 8.334E-03 5.080E+00 3.748E-03 2.665E-03
1 0.00 0.00 6.945E-03 2.117E-01 5.053E-03 3.897E+00
2 1.26 5.00 5.014E-03 2.599E-01 5.318E-03 4.196E+00
3 3.11 10.00 3.227E-03 2.588E-01 5.530E-03 4.497E+00
4 5.68 15.00 1.773E-03 1.952E-01 5.606E-03 4.714E+00
5 8.75 20.00 8.522E-04 1.143E-01 5.497E-03 4.879E+00
6 11.42 25.00 4.218E-04 6.382E-02 5.277E-03 4.726E+00
7 13.34 30.00 2.458E-04 3.899E-02 5.261E-03 4.743E+00
8 15.38 35.00 1.379E-04 2.298E-02 5.150E-03 4.733E+00
9 17.22 40.00 7.955E-05 1.391E-02 5.017E-03 4.645E+00
10 18.84 45.00 4.762E-05 8.713E-03 4.891E-03 4.528E+00
11 20.21 50.00 3.006E-05 5.703E-03 4.815E-03 4.383E+00
Waveband 12 of 30 completed in 0.2 sec.
* * * * * Output for wavelength band 13 (520.0 to 530.0 nm; nominal wavelength = 525.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
The infinitely deep bottom boundary condition is applied at 135.8 m at 525.0 nm
RADTRANX clear-sky spectral irradiances averaged over the band from 520.0 nm to 530.0 nm:
Ed(diffuse) = 4.132E-01 Ed(direct) = 1.024E+00 Ed(total) = 1.437E+00
Absorption Coefficients of Individual Components at 525.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0417 0.0141 0.0017 0.0575
2 1.233 5.000 0.0417 0.0226 0.0028 0.0671
3 3.042 10.000 0.0417 0.0345 0.0042 0.0804
4 5.549 15.000 0.0417 0.0414 0.0050 0.0881
5 8.532 20.000 0.0417 0.0552 0.0067 0.1036
6 11.140 25.000 0.0417 0.0309 0.0038 0.0764
7 13.013 30.000 0.0417 0.0288 0.0035 0.0740
8 15.001 35.000 0.0417 0.0301 0.0037 0.0755
9 16.795 40.000 0.0417 0.0248 0.0030 0.0695
10 18.383 45.000 0.0417 0.0207 0.0025 0.0650
11 19.727 50.000 0.0417 0.0161 0.0020 0.0597
Scattering Coefficients of Individual Components at 525.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0023 0.1525 0.0000 0.1548
2 1.233 5.000 0.0023 0.2399 0.0000 0.2423
3 3.042 10.000 0.0023 0.3595 0.0000 0.3619
4 5.549 15.000 0.0023 0.4272 0.0000 0.4296
5 8.532 20.000 0.0023 0.5623 0.0000 0.5646
6 11.140 25.000 0.0023 0.3232 0.0000 0.3256
7 13.013 30.000 0.0023 0.3019 0.0000 0.3042
8 15.001 35.000 0.0023 0.3154 0.0000 0.3178
9 16.795 40.000 0.0023 0.2619 0.0000 0.2642
10 18.383 45.000 0.0023 0.2211 0.0000 0.2234
11 19.727 50.000 0.0023 0.1731 0.0000 0.1755
Backscattering Coefficients of Individual Components at 525.0 nm
(computed from the scattering coefficients and the phase functions)
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.00117 0.00152 0.00000 0.00270
2 1.233 5.000 0.00117 0.00240 0.00000 0.00357
3 3.042 10.000 0.00117 0.00360 0.00000 0.00477
4 5.549 15.000 0.00117 0.00427 0.00000 0.00544
5 8.532 20.000 0.00117 0.00562 0.00000 0.00679
6 11.140 25.000 0.00117 0.00323 0.00000 0.00440
7 13.013 30.000 0.00117 0.00302 0.00000 0.00419
8 15.001 35.000 0.00117 0.00315 0.00000 0.00432
9 16.795 40.000 0.00117 0.00262 0.00000 0.00379
10 18.383 45.000 0.00117 0.00221 0.00000 0.00338
11 19.727 50.000 0.00117 0.00173 0.00000 0.00290
Summary of Inherent Optical Properties at 525.0 nm
iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0575 0.1548 0.2123 0.7293 0.00270 0.01741
2 1.233 5.000 0.0671 0.2423 0.3093 0.7832 0.00357 0.01473
3 3.042 10.000 0.0804 0.3619 0.4423 0.8181 0.00477 0.01317
4 5.549 15.000 0.0881 0.4296 0.5177 0.8298 0.00544 0.01267
5 8.532 20.000 0.1036 0.5646 0.6683 0.8449 0.00679 0.01203
6 11.140 25.000 0.0764 0.3256 0.4019 0.8100 0.00440 0.01352
7 13.013 30.000 0.0740 0.3042 0.3782 0.8044 0.00419 0.01377
8 15.001 35.000 0.0755 0.3178 0.3933 0.8081 0.00432 0.01361
9 16.795 40.000 0.0695 0.2642 0.3337 0.7918 0.00379 0.01434
10 18.383 45.000 0.0650 0.2234 0.2884 0.7747 0.00338 0.01513
11 19.727 50.000 0.0597 0.1755 0.2352 0.7461 0.00290 0.01654
The shape of the asymptotic radiance distribution for source-free water is given by
u theta Linf(theta)
10 0.00 1.0000E+00
9 10.00 9.0427E-01
8 20.00 6.9100E-01
7 30.00 4.5495E-01
6 40.00 2.6797E-01
5 50.00 1.4766E-01
4 60.00 7.9618E-02
3 70.00 4.3829E-02
2 80.00 2.5513E-02
1 87.50 1.7709E-02
1 92.50 1.3967E-02
2 100.00 1.0532E-02
3 110.00 7.7869E-03
4 120.00 6.1860E-03
5 130.00 5.2487E-03
6 140.00 4.6970E-03
7 150.00 4.3742E-03
8 160.00 4.1917E-03
9 170.00 4.0992E-03
10 180.00 4.0679E-03
Asymptotic source-free water AOP values are
MUu(inf) = 0.3894
MUd(inf) = 0.7931
MU(inf) = 0.7490
R(m,inf) = 0.0190
k(inf) = 0.0785 (1/m)
absorp(check) = 0.0588 = k(inf)*MU(inf)
Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 525.0 nm
iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed
in air 1.6232E-01 2.0106E+00 2.1729E+00 6.0532E-02 1.4374E+00 0.3729 0.7149 0.6336 4.2113E-02
1 0.00 0.00 6.3073E-02 1.5972E+00 1.6603E+00 2.7369E-02 1.4048E+00 0.4339 0.8795 0.8296 1.9482E-02
2 1.23 5.00 5.2918E-02 1.1434E+00 1.1963E+00 2.1874E-02 9.7033E-01 0.4134 0.8487 0.7928 2.2542E-02
3 3.04 10.00 3.9455E-02 7.4791E-01 7.8736E-01 1.5619E-02 6.1147E-01 0.3959 0.8176 0.7568 2.5544E-02
4 5.55 15.00 2.4341E-02 4.3400E-01 4.5834E-01 9.3519E-03 3.4249E-01 0.3842 0.7891 0.7268 2.7306E-02
5 8.53 20.00 1.3068E-02 2.2823E-01 2.4130E-01 4.8275E-03 1.7521E-01 0.3694 0.7677 0.7061 2.7552E-02
6 11.14 25.00 6.2891E-03 1.2262E-01 1.2891E-01 2.3511E-03 9.3530E-02 0.3738 0.7628 0.7073 2.5138E-02
7 13.01 30.00 3.7332E-03 7.2915E-02 7.6648E-02 1.4007E-03 5.5740E-02 0.3752 0.7645 0.7089 2.5129E-02
8 15.00 35.00 2.1428E-03 4.2802E-02 4.4945E-02 7.9552E-04 3.2648E-02 0.3713 0.7628 0.7087 2.4366E-02
9 16.80 40.00 1.2149E-03 2.5741E-02 2.6956E-02 4.5355E-04 1.9682E-02 0.3733 0.7646 0.7133 2.3043E-02
10 18.38 45.00 7.0539E-04 1.5965E-02 1.6671E-02 2.6518E-04 1.2254E-02 0.3759 0.7675 0.7191 2.1641E-02
11 19.73 50.00 4.2079E-04 1.0262E-02 1.0682E-02 1.6174E-04 7.9277E-03 0.3844 0.7726 0.7270 2.0401E-02
LAYER-AVERAGE K-functions (units of 1/meter) at 525.0 nm
zupper zlower zmid Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z)
0.000 5.000 2.500 0.03511 0.06686 0.06556 0.04483 0.07401 0.07463 0.05999
5.000 10.000 7.500 0.05872 0.08489 0.08366 0.06735 0.09236 0.09297 0.08179
10.000 15.000 12.500 0.09659 0.10885 0.10821 0.10259 0.11593 0.11629 0.11264
15.000 20.000 17.500 0.12440 0.12854 0.12832 0.13225 0.13405 0.13410 0.14017
20.000 25.000 22.500 0.14627 0.12425 0.12538 0.14388 0.12554 0.12505 0.13720
25.000 30.000 27.500 0.10431 0.10396 0.10398 0.10359 0.10352 0.10351 0.10449
30.000 35.000 32.500 0.11103 0.10654 0.10676 0.11314 0.10698 0.10682 0.11308
35.000 40.000 37.500 0.11349 0.10170 0.10224 0.11238 0.10121 0.10094 0.10866
40.000 45.000 42.500 0.10873 0.09554 0.09611 0.10734 0.09478 0.09449 0.10211
45.000 50.000 47.500 0.10332 0.08840 0.08901 0.09889 0.08709 0.08684 0.09183
Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 525.0 nm
iz zeta z Lu(z) Ld(z) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed
(m) (1/sr) (sr) (nadir) (1/sr)
in air 1.194E-02 1.161E-01 8.305E-03 5.071E+00 3.799E-03 2.643E-03
1 0.00 0.00 7.040E-03 2.132E-01 5.011E-03 3.888E+00
2 1.23 5.00 5.216E-03 2.635E-01 5.375E-03 4.194E+00
3 3.04 10.00 3.465E-03 2.673E-01 5.667E-03 4.508E+00
4 5.55 15.00 1.973E-03 2.084E-01 5.761E-03 4.740E+00
5 8.53 20.00 9.789E-04 1.274E-01 5.587E-03 4.931E+00
6 11.14 25.00 4.930E-04 7.370E-02 5.271E-03 4.769E+00
7 13.01 30.00 2.924E-04 4.597E-02 5.245E-03 4.791E+00
8 15.00 35.00 1.661E-04 2.772E-02 5.088E-03 4.789E+00
9 16.80 40.00 9.648E-05 1.710E-02 4.902E-03 4.701E+00
10 18.38 45.00 5.790E-05 1.087E-02 4.725E-03 4.580E+00
11 19.73 50.00 3.658E-05 7.186E-03 4.615E-03 4.421E+00
Waveband 13 of 30 completed in 0.2 sec.
* * * * * Output for wavelength band 14 (530.0 to 540.0 nm; nominal wavelength = 535.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
The infinitely deep bottom boundary condition is applied at 135.8 m at 535.0 nm
RADTRANX clear-sky spectral irradiances averaged over the band from 530.0 nm to 540.0 nm:
Ed(diffuse) = 4.123E-01 Ed(direct) = 1.041E+00 Ed(total) = 1.453E+00
Absorption Coefficients of Individual Components at 535.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0452 0.0124 0.0015 0.0591
2 1.220 5.000 0.0452 0.0199 0.0024 0.0675
3 3.001 10.000 0.0452 0.0304 0.0037 0.0793
4 5.459 15.000 0.0452 0.0364 0.0044 0.0860
5 8.379 20.000 0.0452 0.0486 0.0058 0.0996
6 10.935 25.000 0.0452 0.0272 0.0033 0.0757
7 12.778 30.000 0.0452 0.0253 0.0030 0.0736
8 14.732 35.000 0.0452 0.0265 0.0032 0.0749
9 16.497 40.000 0.0452 0.0218 0.0026 0.0696
10 18.063 45.000 0.0452 0.0183 0.0022 0.0657
11 19.391 50.000 0.0452 0.0141 0.0017 0.0610
Scattering Coefficients of Individual Components at 535.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0022 0.1496 0.0000 0.1518
2 1.220 5.000 0.0022 0.2355 0.0000 0.2376
3 3.001 10.000 0.0022 0.3528 0.0000 0.3550
4 5.459 15.000 0.0022 0.4192 0.0000 0.4214
5 8.379 20.000 0.0022 0.5518 0.0000 0.5539
6 10.935 25.000 0.0022 0.3172 0.0000 0.3194
7 12.778 30.000 0.0022 0.2963 0.0000 0.2984
8 14.732 35.000 0.0022 0.3095 0.0000 0.3117
9 16.497 40.000 0.0022 0.2570 0.0000 0.2591
10 18.063 45.000 0.0022 0.2170 0.0000 0.2191
11 19.391 50.000 0.0022 0.1699 0.0000 0.1721
Backscattering Coefficients of Individual Components at 535.0 nm
(computed from the scattering coefficients and the phase functions)
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.00108 0.00150 0.00000 0.00258
2 1.220 5.000 0.00108 0.00235 0.00000 0.00343
3 3.001 10.000 0.00108 0.00353 0.00000 0.00461
4 5.459 15.000 0.00108 0.00419 0.00000 0.00527
5 8.379 20.000 0.00108 0.00552 0.00000 0.00660
6 10.935 25.000 0.00108 0.00317 0.00000 0.00425
7 12.778 30.000 0.00108 0.00296 0.00000 0.00404
8 14.732 35.000 0.00108 0.00310 0.00000 0.00417
9 16.497 40.000 0.00108 0.00257 0.00000 0.00365
10 18.063 45.000 0.00108 0.00217 0.00000 0.00325
11 19.391 50.000 0.00108 0.00170 0.00000 0.00278
Summary of Inherent Optical Properties at 535.0 nm
iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0591 0.1518 0.2109 0.7199 0.00258 0.01697
2 1.220 5.000 0.0675 0.2376 0.3051 0.7788 0.00343 0.01445
3 3.001 10.000 0.0793 0.3550 0.4342 0.8175 0.00461 0.01298
4 5.459 15.000 0.0860 0.4214 0.5074 0.8305 0.00527 0.01251
5 8.379 20.000 0.0996 0.5539 0.6536 0.8476 0.00660 0.01191
6 10.935 25.000 0.0757 0.3194 0.3950 0.8085 0.00425 0.01331
7 12.778 30.000 0.0736 0.2984 0.3720 0.8023 0.00404 0.01354
8 14.732 35.000 0.0749 0.3117 0.3866 0.8063 0.00417 0.01339
9 16.497 40.000 0.0696 0.2591 0.3288 0.7882 0.00365 0.01408
10 18.063 45.000 0.0657 0.2191 0.2848 0.7694 0.00325 0.01483
11 19.391 50.000 0.0610 0.1721 0.2331 0.7382 0.00278 0.01615
The shape of the asymptotic radiance distribution for source-free water is given by
u theta Linf(theta)
10 0.00 1.0000E+00
9 10.00 9.0176E-01
8 20.00 6.8406E-01
7 30.00 4.4554E-01
6 40.00 2.5912E-01
5 50.00 1.4095E-01
4 60.00 7.5109E-02
3 70.00 4.0942E-02
2 80.00 2.3648E-02
1 87.50 1.6339E-02
1 92.50 1.2856E-02
2 100.00 9.6654E-03
3 110.00 7.1236E-03
4 120.00 5.6468E-03
5 130.00 4.7851E-03
6 140.00 4.2794E-03
7 150.00 3.9845E-03
8 160.00 3.8182E-03
9 170.00 3.7342E-03
10 180.00 3.7059E-03
Asymptotic source-free water AOP values are
MUu(inf) = 0.3884
MUd(inf) = 0.7972
MU(inf) = 0.7556
R(m,inf) = 0.0177
k(inf) = 0.0797 (1/m)
absorp(check) = 0.0602 = k(inf)*MU(inf)
Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 535.0 nm
iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed
in air 1.6176E-01 2.0282E+00 2.1900E+00 6.0450E-02 1.4533E+00 0.3737 0.7165 0.6360 4.1595E-02
1 0.00 0.00 6.0612E-02 1.6121E+00 1.6727E+00 2.6368E-02 1.4199E+00 0.4350 0.8808 0.8331 1.8571E-02
2 1.22 5.00 5.1721E-02 1.1469E+00 1.1987E+00 2.1429E-02 9.7545E-01 0.4143 0.8505 0.7959 2.1968E-02
3 3.00 10.00 3.9425E-02 7.5272E-01 7.9215E-01 1.5627E-02 6.1672E-01 0.3964 0.8193 0.7588 2.5338E-02
4 5.46 15.00 2.4859E-02 4.4338E-01 4.6824E-01 9.5516E-03 3.5041E-01 0.3842 0.7903 0.7280 2.7258E-02
5 8.38 20.00 1.3648E-02 2.3866E-01 2.5230E-01 5.0162E-03 1.8329E-01 0.3675 0.7680 0.7066 2.7367E-02
6 10.93 25.00 6.5353E-03 1.3024E-01 1.3677E-01 2.4333E-03 9.9407E-02 0.3723 0.7633 0.7090 2.4478E-02
7 12.78 30.00 3.8910E-03 7.7709E-02 8.1600E-02 1.4551E-03 5.9485E-02 0.3740 0.7655 0.7112 2.4461E-02
8 14.73 35.00 2.2373E-03 4.5894E-02 4.8132E-02 8.2621E-04 3.5055E-02 0.3693 0.7638 0.7112 2.3569E-02
9 16.50 40.00 1.2598E-03 2.7672E-02 2.8932E-02 4.6775E-04 2.1196E-02 0.3713 0.7660 0.7165 2.2067E-02
10 18.06 45.00 7.2345E-04 1.7150E-02 1.7873E-02 2.7044E-04 1.3192E-02 0.3738 0.7692 0.7230 2.0500E-02
11 19.39 50.00 4.2521E-04 1.0973E-02 1.1398E-02 1.6276E-04 8.5010E-03 0.3828 0.7747 0.7316 1.9147E-02
LAYER-AVERAGE K-functions (units of 1/meter) at 535.0 nm
zupper zlower zmid Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z)
0.000 5.000 2.500 0.03172 0.06808 0.06664 0.04148 0.07508 0.07578 0.05701
5.000 10.000 7.500 0.05429 0.08423 0.08284 0.06315 0.09170 0.09239 0.07816
10.000 15.000 12.500 0.09224 0.10585 0.10515 0.09845 0.11306 0.11346 0.10904
15.000 20.000 17.500 0.11992 0.12388 0.12367 0.12881 0.12961 0.12963 0.13774
20.000 25.000 22.500 0.14728 0.12113 0.12246 0.14469 0.12237 0.12178 0.13744
25.000 30.000 27.500 0.10371 0.10328 0.10330 0.10284 0.10270 0.10270 0.10385
30.000 35.000 32.500 0.11068 0.10532 0.10558 0.11319 0.10576 0.10558 0.11343
35.000 40.000 37.500 0.11487 0.10118 0.10180 0.11378 0.10062 0.10031 0.11000
40.000 45.000 42.500 0.11093 0.09569 0.09633 0.10957 0.09484 0.09452 0.10413
45.000 50.000 47.500 0.10629 0.08931 0.08997 0.10155 0.08789 0.08761 0.09393
Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 535.0 nm
iz zeta z Lu(z) Ld(z) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed
(m) (1/sr) (sr) (nadir) (1/sr)
in air 1.189E-02 1.158E-01 8.183E-03 5.083E+00 3.674E-03 2.528E-03
1 0.00 0.00 6.808E-03 2.127E-01 4.795E-03 3.873E+00
2 1.22 5.00 5.119E-03 2.615E-01 5.248E-03 4.186E+00
3 3.00 10.00 3.463E-03 2.665E-01 5.616E-03 4.512E+00
4 5.46 15.00 2.008E-03 2.112E-01 5.730E-03 4.757E+00
5 8.38 20.00 1.008E-03 1.323E-01 5.501E-03 4.975E+00
6 10.93 25.00 5.072E-04 7.791E-02 5.102E-03 4.798E+00
7 12.78 30.00 3.018E-04 4.892E-02 5.073E-03 4.822E+00
8 14.73 35.00 1.711E-04 2.973E-02 4.882E-03 4.828E+00
9 16.50 40.00 9.874E-05 1.843E-02 4.658E-03 4.737E+00
10 18.06 45.00 5.867E-05 1.173E-02 4.447E-03 4.610E+00
11 19.39 50.00 3.668E-05 7.739E-03 4.315E-03 4.438E+00
Waveband 14 of 30 completed in 0.2 sec.
* * * * * Output for wavelength band 15 (540.0 to 550.0 nm; nominal wavelength = 545.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
The infinitely deep bottom boundary condition is applied at 135.6 m at 545.0 nm
RADTRANX clear-sky spectral irradiances averaged over the band from 540.0 nm to 550.0 nm:
Ed(diffuse) = 4.017E-01 Ed(direct) = 1.032E+00 Ed(total) = 1.434E+00
Absorption Coefficients of Individual Components at 545.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0511 0.0107 0.0013 0.0631
2 1.221 5.000 0.0511 0.0172 0.0021 0.0704
3 2.987 10.000 0.0511 0.0263 0.0032 0.0805
4 5.409 15.000 0.0511 0.0315 0.0038 0.0864
5 8.280 20.000 0.0511 0.0420 0.0051 0.0981
6 10.798 25.000 0.0511 0.0235 0.0028 0.0774
7 12.624 30.000 0.0511 0.0219 0.0026 0.0756
8 14.557 35.000 0.0511 0.0229 0.0028 0.0768
9 16.308 40.000 0.0511 0.0188 0.0023 0.0722
10 17.864 45.000 0.0511 0.0158 0.0019 0.0688
11 19.190 50.000 0.0511 0.0122 0.0015 0.0648
Scattering Coefficients of Individual Components at 545.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0020 0.1469 0.0000 0.1489
2 1.221 5.000 0.0020 0.2311 0.0000 0.2331
3 2.987 10.000 0.0020 0.3463 0.0000 0.3483
4 5.409 15.000 0.0020 0.4115 0.0000 0.4135
5 8.280 20.000 0.0020 0.5417 0.0000 0.5437
6 10.798 25.000 0.0020 0.3114 0.0000 0.3134
7 12.624 30.000 0.0020 0.2908 0.0000 0.2928
8 14.557 35.000 0.0020 0.3039 0.0000 0.3059
9 16.308 40.000 0.0020 0.2523 0.0000 0.2543
10 17.864 45.000 0.0020 0.2130 0.0000 0.2150
11 19.190 50.000 0.0020 0.1668 0.0000 0.1688
Backscattering Coefficients of Individual Components at 545.0 nm
(computed from the scattering coefficients and the phase functions)
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.00100 0.00147 0.00000 0.00246
2 1.221 5.000 0.00100 0.00231 0.00000 0.00331
3 2.987 10.000 0.00100 0.00346 0.00000 0.00446
4 5.409 15.000 0.00100 0.00412 0.00000 0.00511
5 8.280 20.000 0.00100 0.00542 0.00000 0.00641
6 10.798 25.000 0.00100 0.00311 0.00000 0.00411
7 12.624 30.000 0.00100 0.00291 0.00000 0.00390
8 14.557 35.000 0.00100 0.00304 0.00000 0.00403
9 16.308 40.000 0.00100 0.00252 0.00000 0.00352
10 17.864 45.000 0.00100 0.00213 0.00000 0.00313
11 19.190 50.000 0.00100 0.00167 0.00000 0.00266
Summary of Inherent Optical Properties at 545.0 nm
iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0631 0.1489 0.2120 0.7024 0.00246 0.01656
2 1.221 5.000 0.0704 0.2331 0.3035 0.7682 0.00331 0.01419
3 2.987 10.000 0.0805 0.3483 0.4288 0.8122 0.00446 0.01280
4 5.409 15.000 0.0864 0.4135 0.4999 0.8272 0.00511 0.01236
5 8.280 20.000 0.0981 0.5437 0.6418 0.8471 0.00641 0.01180
6 10.798 25.000 0.0774 0.3134 0.3908 0.8019 0.00411 0.01311
7 12.624 30.000 0.0756 0.2928 0.3684 0.7948 0.00390 0.01333
8 14.557 35.000 0.0768 0.3059 0.3826 0.7994 0.00403 0.01319
9 16.308 40.000 0.0722 0.2543 0.3265 0.7788 0.00352 0.01384
10 17.864 45.000 0.0688 0.2150 0.2837 0.7576 0.00313 0.01454
11 19.190 50.000 0.0648 0.1688 0.2336 0.7226 0.00266 0.01578
The shape of the asymptotic radiance distribution for source-free water is given by
u theta Linf(theta)
10 0.00 1.0000E+00
9 10.00 8.9687E-01
8 20.00 6.7075E-01
7 30.00 4.2790E-01
6 40.00 2.4296E-01
5 50.00 1.2905E-01
4 60.00 6.7353E-02
3 70.00 3.6120E-02
2 80.00 2.0621E-02
1 87.50 1.4160E-02
1 92.50 1.1114E-02
2 100.00 8.3304E-03
3 110.00 6.1232E-03
4 120.00 4.8488E-03
5 130.00 4.1093E-03
6 140.00 3.6777E-03
7 150.00 3.4275E-03
8 160.00 3.2874E-03
9 170.00 3.2171E-03
10 180.00 3.1933E-03
Asymptotic source-free water AOP values are
MUu(inf) = 0.3879
MUd(inf) = 0.8044
MU(inf) = 0.7665
R(m,inf) = 0.0158
k(inf) = 0.0836 (1/m)
absorp(check) = 0.0641 = k(inf)*MU(inf)
Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 545.0 nm
iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed
in air 1.5661E-01 1.9970E+00 2.1536E+00 5.8520E-02 1.4340E+00 0.3737 0.7181 0.6387 4.0810E-02
1 0.00 0.00 5.4612E-02 1.5861E+00 1.6407E+00 2.3817E-02 1.3999E+00 0.4361 0.8826 0.8387 1.7013E-02
2 1.22 5.00 4.7023E-02 1.1060E+00 1.1530E+00 1.9523E-02 9.4347E-01 0.4152 0.8531 0.8013 2.0692E-02
3 2.99 10.00 3.6300E-02 7.1763E-01 7.5393E-01 1.4401E-02 5.9003E-01 0.3967 0.8222 0.7635 2.4407E-02
4 5.41 15.00 2.3088E-02 4.2269E-01 4.4578E-01 8.8704E-03 3.3515E-01 0.3842 0.7929 0.7319 2.6467E-02
5 8.28 20.00 1.2783E-02 2.2939E-01 2.4218E-01 4.6698E-03 1.7660E-01 0.3653 0.7698 0.7099 2.6443E-02
6 10.80 25.00 5.9627E-03 1.2520E-01 1.3116E-01 2.2109E-03 9.5859E-02 0.3708 0.7657 0.7140 2.3065E-02
7 12.62 30.00 3.5084E-03 7.3841E-02 7.7350E-02 1.3086E-03 5.6759E-02 0.3730 0.7687 0.7169 2.3055E-02
8 14.56 35.00 1.9922E-03 4.3240E-02 4.5232E-02 7.3227E-04 3.3171E-02 0.3676 0.7671 0.7172 2.2075E-02
9 16.31 40.00 1.0967E-03 2.5759E-02 2.6856E-02 4.0555E-04 1.9829E-02 0.3698 0.7698 0.7232 2.0453E-02
10 17.86 45.00 6.1403E-04 1.5730E-02 1.6344E-02 2.2864E-04 1.2167E-02 0.3724 0.7735 0.7304 1.8792E-02
11 19.19 50.00 3.4997E-04 9.8778E-03 1.0228E-02 1.3376E-04 7.7007E-03 0.3822 0.7796 0.7398 1.7370E-02
LAYER-AVERAGE K-functions (units of 1/meter) at 545.0 nm
zupper zlower zmid Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z)
0.000 5.000 2.500 0.02992 0.07211 0.07055 0.03977 0.07892 0.07967 0.05576
5.000 10.000 7.500 0.05177 0.08651 0.08497 0.06086 0.09388 0.09464 0.07653
10.000 15.000 12.500 0.09050 0.10586 0.10510 0.09691 0.11312 0.11354 0.10803
15.000 20.000 17.500 0.11823 0.12224 0.12203 0.12832 0.12814 0.12813 0.13845
20.000 25.000 22.500 0.15252 0.12111 0.12265 0.14954 0.12220 0.12151 0.14135
25.000 30.000 27.500 0.10607 0.10559 0.10561 0.10490 0.10481 0.10481 0.10589
30.000 35.000 32.500 0.11319 0.10703 0.10731 0.11611 0.10743 0.10723 0.11662
35.000 40.000 37.500 0.11939 0.10359 0.10426 0.11818 0.10291 0.10258 0.11420
40.000 45.000 42.500 0.11600 0.09864 0.09932 0.11462 0.09768 0.09734 0.10890
45.000 50.000 47.500 0.11244 0.09306 0.09376 0.10722 0.09149 0.09120 0.09881
Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 545.0 nm
iz zeta z Lu(z) Ld(z) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed
(m) (1/sr) (sr) (nadir) (1/sr)
in air 1.144E-02 1.129E-01 7.978E-03 5.116E+00 3.340E-03 2.329E-03
1 0.00 0.00 6.189E-03 2.072E-01 4.421E-03 3.849E+00
2 1.22 5.00 4.683E-03 2.502E-01 4.964E-03 4.169E+00
3 2.99 10.00 3.194E-03 2.528E-01 5.413E-03 4.509E+00
4 5.41 15.00 1.861E-03 2.009E-01 5.553E-03 4.766E+00
5 8.28 20.00 9.314E-04 1.271E-01 5.274E-03 5.014E+00
6 10.80 25.00 4.594E-04 7.519E-02 4.792E-03 4.813E+00
7 12.62 30.00 2.706E-04 4.690E-02 4.767E-03 4.837E+00
8 14.56 35.00 1.510E-04 2.834E-02 4.552E-03 4.849E+00
9 16.31 40.00 8.531E-05 1.741E-02 4.303E-03 4.754E+00
10 17.86 45.00 4.949E-05 1.096E-02 4.068E-03 4.620E+00
11 19.19 50.00 3.020E-05 7.122E-03 3.921E-03 4.429E+00
Waveband 15 of 30 completed in 0.2 sec.
* * * * * Output for wavelength band 16 (550.0 to 560.0 nm; nominal wavelength = 555.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
The infinitely deep bottom boundary condition is applied at 134.5 m at 555.0 nm
RADTRANX clear-sky spectral irradiances averaged over the band from 550.0 nm to 560.0 nm:
Ed(diffuse) = 3.946E-01 Ed(direct) = 1.031E+00 Ed(total) = 1.425E+00
Absorption Coefficients of Individual Components at 555.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0596 0.0090 0.0011 0.0697
2 1.236 5.000 0.0596 0.0145 0.0018 0.0759
3 3.000 10.000 0.0596 0.0221 0.0028 0.0845
4 5.402 15.000 0.0596 0.0265 0.0033 0.0894
5 8.240 20.000 0.0596 0.0353 0.0044 0.0993
6 10.734 25.000 0.0596 0.0198 0.0025 0.0818
7 12.557 30.000 0.0596 0.0184 0.0023 0.0803
8 14.484 35.000 0.0596 0.0193 0.0024 0.0813
9 16.234 40.000 0.0596 0.0159 0.0020 0.0774
10 17.796 45.000 0.0596 0.0133 0.0017 0.0745
11 19.133 50.000 0.0596 0.0103 0.0013 0.0712
Scattering Coefficients of Individual Components at 555.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0018 0.1442 0.0000 0.1461
2 1.236 5.000 0.0018 0.2270 0.0000 0.2288
3 3.000 10.000 0.0018 0.3401 0.0000 0.3419
4 5.402 15.000 0.0018 0.4041 0.0000 0.4060
5 8.240 20.000 0.0018 0.5319 0.0000 0.5337
6 10.734 25.000 0.0018 0.3058 0.0000 0.3076
7 12.557 30.000 0.0018 0.2856 0.0000 0.2874
8 14.484 35.000 0.0018 0.2984 0.0000 0.3002
9 16.234 40.000 0.0018 0.2477 0.0000 0.2496
10 17.796 45.000 0.0018 0.2091 0.0000 0.2110
11 19.133 50.000 0.0018 0.1638 0.0000 0.1656
Backscattering Coefficients of Individual Components at 555.0 nm
(computed from the scattering coefficients and the phase functions)
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.00092 0.00144 0.00000 0.00236
2 1.236 5.000 0.00092 0.00227 0.00000 0.00319
3 3.000 10.000 0.00092 0.00340 0.00000 0.00432
4 5.402 15.000 0.00092 0.00404 0.00000 0.00496
5 8.240 20.000 0.00092 0.00532 0.00000 0.00624
6 10.734 25.000 0.00092 0.00306 0.00000 0.00398
7 12.557 30.000 0.00092 0.00286 0.00000 0.00378
8 14.484 35.000 0.00092 0.00298 0.00000 0.00390
9 16.234 40.000 0.00092 0.00248 0.00000 0.00340
10 17.796 45.000 0.00092 0.00209 0.00000 0.00301
11 19.133 50.000 0.00092 0.00164 0.00000 0.00256
Summary of Inherent Optical Properties at 555.0 nm
iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0697 0.1461 0.2158 0.6769 0.00236 0.01618
2 1.236 5.000 0.0759 0.2288 0.3047 0.7510 0.00319 0.01394
3 3.000 10.000 0.0845 0.3419 0.4264 0.8019 0.00432 0.01264
4 5.402 15.000 0.0894 0.4060 0.4954 0.8195 0.00496 0.01222
5 8.240 20.000 0.0993 0.5337 0.6331 0.8431 0.00624 0.01169
6 10.734 25.000 0.0818 0.3076 0.3895 0.7899 0.00398 0.01293
7 12.557 30.000 0.0803 0.2874 0.3677 0.7816 0.00378 0.01314
8 14.484 35.000 0.0813 0.3002 0.3815 0.7869 0.00390 0.01301
9 16.234 40.000 0.0774 0.2496 0.3270 0.7632 0.00340 0.01362
10 17.796 45.000 0.0745 0.2110 0.2855 0.7389 0.00301 0.01428
11 19.133 50.000 0.0712 0.1656 0.2368 0.6995 0.00256 0.01545
The shape of the asymptotic radiance distribution for source-free water is given by
u theta Linf(theta)
10 0.00 1.0000E+00
9 10.00 8.8950E-01
8 20.00 6.5110E-01
7 30.00 4.0266E-01
6 40.00 2.2070E-01
5 50.00 1.1329E-01
4 60.00 5.7445E-02
3 70.00 3.0151E-02
2 80.00 1.6967E-02
1 87.50 1.1571E-02
1 92.50 9.0610E-03
2 100.00 6.7742E-03
3 110.00 4.9700E-03
4 120.00 3.9363E-03
5 130.00 3.3408E-03
6 140.00 2.9959E-03
7 150.00 2.7978E-03
8 160.00 2.6880E-03
9 170.00 2.6333E-03
10 180.00 2.6150E-03
Asymptotic source-free water AOP values are
MUu(inf) = 0.3881
MUd(inf) = 0.8143
MU(inf) = 0.7808
R(m,inf) = 0.0136
k(inf) = 0.0904 (1/m)
absorp(check) = 0.0706 = k(inf)*MU(inf)
Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 555.0 nm
iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed
in air 1.5216E-01 1.9808E+00 2.1330E+00 5.6743E-02 1.4251E+00 0.3729 0.7194 0.6415 3.9817E-02
1 0.00 0.00 4.7638E-02 1.5707E+00 1.6183E+00 2.0801E-02 1.3898E+00 0.4366 0.8849 0.8460 1.4967E-02
2 1.24 5.00 4.0947E-02 1.0573E+00 1.0982E+00 1.7021E-02 9.0531E-01 0.4157 0.8563 0.8089 1.8802E-02
3 3.00 10.00 3.1656E-02 6.6765E-01 6.9930E-01 1.2564E-02 5.5153E-01 0.3969 0.8261 0.7707 2.2780E-02
4 5.40 15.00 2.0024E-02 3.8692E-01 4.0695E-01 7.6927E-03 3.0832E-01 0.3842 0.7969 0.7387 2.4950E-02
5 8.24 20.00 1.1027E-02 2.0831E-01 2.1934E-01 4.0019E-03 1.6109E-01 0.3629 0.7733 0.7162 2.4843E-02
6 10.73 25.00 4.9077E-03 1.1187E-01 1.1678E-01 1.8134E-03 8.6138E-02 0.3695 0.7700 0.7221 2.1053E-02
7 12.56 30.00 2.8107E-03 6.4198E-02 6.7008E-02 1.0472E-03 4.9688E-02 0.3726 0.7740 0.7259 2.1077E-02
8 14.48 35.00 1.5542E-03 3.6697E-02 3.8252E-02 5.6975E-04 2.8357E-02 0.3666 0.7727 0.7264 2.0092E-02
9 16.23 40.00 8.2434E-04 2.1274E-02 2.2099E-02 3.0443E-04 1.6506E-02 0.3693 0.7759 0.7332 1.8443E-02
10 17.80 45.00 4.4376E-04 1.2605E-02 1.3049E-02 1.6519E-04 9.8338E-03 0.3723 0.7802 0.7410 1.6799E-02
11 19.13 50.00 2.4219E-04 7.6537E-03 7.8959E-03 9.2821E-05 6.0226E-03 0.3833 0.7869 0.7510 1.5412E-02
LAYER-AVERAGE K-functions (units of 1/meter) at 555.0 nm
zupper zlower zmid Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z)
0.000 5.000 2.500 0.03027 0.07916 0.07754 0.04010 0.08573 0.08651 0.05650
5.000 10.000 7.500 0.05147 0.09193 0.09027 0.06073 0.09911 0.09993 0.07706
10.000 15.000 12.500 0.09160 0.10911 0.10828 0.09811 0.11631 0.11676 0.10964
15.000 20.000 17.500 0.11932 0.12384 0.12361 0.13070 0.12984 0.12982 0.14212
20.000 25.000 22.500 0.16191 0.12434 0.12607 0.15831 0.12520 0.12443 0.14880
25.000 30.000 27.500 0.11147 0.11107 0.11109 0.10981 0.11004 0.11004 0.11057
30.000 35.000 32.500 0.11850 0.11185 0.11213 0.12174 0.11218 0.11198 0.12244
35.000 40.000 37.500 0.12682 0.10904 0.10973 0.12535 0.10822 0.10789 0.12099
40.000 45.000 42.500 0.12386 0.10468 0.10536 0.12227 0.10358 0.10325 0.11615
45.000 50.000 47.500 0.12111 0.09978 0.10047 0.11529 0.09806 0.09778 0.10593
Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 555.0 nm
iz zeta z Lu(z) Ld(z) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed
(m) (1/sr) (sr) (nadir) (1/sr)
in air 1.098E-02 1.109E-01 7.706E-03 5.167E+00 2.940E-03 2.063E-03
1 0.00 0.00 5.448E-03 2.035E-01 3.920E-03 3.818E+00
2 1.24 5.00 4.107E-03 2.380E-01 4.537E-03 4.144E+00
3 3.00 10.00 2.794E-03 2.350E-01 5.066E-03 4.497E+00
4 5.40 15.00 1.615E-03 1.846E-01 5.238E-03 4.764E+00
5 8.24 20.00 7.935E-04 1.162E-01 4.926E-03 5.043E+00
6 10.73 25.00 3.771E-04 6.806E-02 4.377E-03 4.809E+00
7 12.56 30.00 2.169E-04 4.158E-02 4.366E-03 4.828E+00
8 14.48 35.00 1.176E-04 2.463E-02 4.147E-03 4.844E+00
9 16.23 40.00 6.423E-05 1.479E-02 3.891E-03 4.740E+00
10 17.80 45.00 3.593E-05 9.067E-03 3.654E-03 4.597E+00
11 19.13 50.00 2.116E-05 5.724E-03 3.513E-03 4.387E+00
Waveband 16 of 30 completed in 0.2 sec.
* * * * * Output for wavelength band 17 (560.0 to 570.0 nm; nominal wavelength = 565.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
The infinitely deep bottom boundary condition is applied at 134.5 m at 565.0 nm
RADTRANX clear-sky spectral irradiances averaged over the band from 560.0 nm to 570.0 nm:
Ed(diffuse) = 3.870E-01 Ed(direct) = 1.026E+00 Ed(total) = 1.413E+00
Absorption Coefficients of Individual Components at 565.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0642 0.0076 0.0010 0.0728
2 1.233 5.000 0.0642 0.0122 0.0016 0.0780
3 2.981 10.000 0.0642 0.0187 0.0024 0.0853
4 5.348 15.000 0.0642 0.0224 0.0029 0.0894
5 8.140 20.000 0.0642 0.0298 0.0038 0.0978
6 10.598 25.000 0.0642 0.0167 0.0021 0.0830
7 12.402 30.000 0.0642 0.0155 0.0020 0.0817
8 14.308 35.000 0.0642 0.0163 0.0021 0.0826
9 16.041 40.000 0.0642 0.0134 0.0017 0.0793
10 17.592 45.000 0.0642 0.0112 0.0014 0.0768
11 18.924 50.000 0.0642 0.0087 0.0011 0.0740
Scattering Coefficients of Individual Components at 565.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0017 0.1417 0.0000 0.1434
2 1.233 5.000 0.0017 0.2230 0.0000 0.2247
3 2.981 10.000 0.0017 0.3341 0.0000 0.3358
4 5.348 15.000 0.0017 0.3970 0.0000 0.3987
5 8.140 20.000 0.0017 0.5225 0.0000 0.5242
6 10.598 25.000 0.0017 0.3004 0.0000 0.3021
7 12.402 30.000 0.0017 0.2805 0.0000 0.2822
8 14.308 35.000 0.0017 0.2931 0.0000 0.2948
9 16.041 40.000 0.0017 0.2433 0.0000 0.2450
10 17.592 45.000 0.0017 0.2054 0.0000 0.2071
11 18.924 50.000 0.0017 0.1609 0.0000 0.1626
Backscattering Coefficients of Individual Components at 565.0 nm
(computed from the scattering coefficients and the phase functions)
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.00085 0.00142 0.00000 0.00227
2 1.233 5.000 0.00085 0.00223 0.00000 0.00308
3 2.981 10.000 0.00085 0.00334 0.00000 0.00419
4 5.348 15.000 0.00085 0.00397 0.00000 0.00482
5 8.140 20.000 0.00085 0.00522 0.00000 0.00608
6 10.598 25.000 0.00085 0.00300 0.00000 0.00386
7 12.402 30.000 0.00085 0.00281 0.00000 0.00366
8 14.308 35.000 0.00085 0.00293 0.00000 0.00378
9 16.041 40.000 0.00085 0.00243 0.00000 0.00329
10 17.592 45.000 0.00085 0.00205 0.00000 0.00291
11 18.924 50.000 0.00085 0.00161 0.00000 0.00246
Summary of Inherent Optical Properties at 565.0 nm
iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0728 0.1434 0.2162 0.6634 0.00227 0.01583
2 1.233 5.000 0.0780 0.2247 0.3026 0.7423 0.00308 0.01372
3 2.981 10.000 0.0853 0.3358 0.4210 0.7975 0.00419 0.01249
4 5.348 15.000 0.0894 0.3987 0.4881 0.8168 0.00482 0.01210
5 8.140 20.000 0.0978 0.5242 0.6220 0.8427 0.00608 0.01159
6 10.598 25.000 0.0830 0.3021 0.3851 0.7844 0.00386 0.01277
7 12.402 30.000 0.0817 0.2822 0.3640 0.7754 0.00366 0.01296
8 14.308 35.000 0.0826 0.2948 0.3774 0.7812 0.00378 0.01283
9 16.041 40.000 0.0793 0.2450 0.3243 0.7555 0.00329 0.01341
10 17.592 45.000 0.0768 0.2071 0.2840 0.7294 0.00291 0.01403
11 18.924 50.000 0.0740 0.1626 0.2366 0.6873 0.00246 0.01514
The shape of the asymptotic radiance distribution for source-free water is given by
u theta Linf(theta)
10 0.00 1.0000E+00
9 10.00 8.8553E-01
8 20.00 6.4070E-01
7 30.00 3.8966E-01
6 40.00 2.0959E-01
5 50.00 1.0566E-01
4 60.00 5.2766E-02
3 70.00 2.7382E-02
2 80.00 1.5287E-02
1 87.50 1.0382E-02
1 92.50 8.1170E-03
2 100.00 6.0553E-03
3 110.00 4.4330E-03
4 120.00 3.5072E-03
5 130.00 2.9756E-03
6 140.00 2.6689E-03
7 150.00 2.4935E-03
8 160.00 2.3967E-03
9 170.00 2.3487E-03
10 180.00 2.3327E-03
Asymptotic source-free water AOP values are
MUu(inf) = 0.3876
MUd(inf) = 0.8193
MU(inf) = 0.7882
R(m,inf) = 0.0125
k(inf) = 0.0932 (1/m)
absorp(check) = 0.0735 = k(inf)*MU(inf)
Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 565.0 nm
iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed
in air 1.4870E-01 1.9607E+00 2.1094E+00 5.5493E-02 1.4132E+00 0.3732 0.7208 0.6436 3.9267E-02
1 0.00 0.00 4.3897E-02 1.5547E+00 1.5986E+00 1.9205E-02 1.3776E+00 0.4375 0.8861 0.8498 1.3941E-02
2 1.23 5.00 3.8047E-02 1.0308E+00 1.0689E+00 1.5835E-02 8.8466E-01 0.4162 0.8582 0.8129 1.7900E-02
3 2.98 10.00 2.9741E-02 6.4586E-01 6.7560E-01 1.1811E-02 5.3500E-01 0.3971 0.8284 0.7744 2.2076E-02
4 5.35 15.00 1.8979E-02 3.7486E-01 3.9384E-01 7.2909E-03 2.9951E-01 0.3842 0.7990 0.7420 2.4343E-02
5 8.14 20.00 1.0548E-02 2.0353E-01 2.1407E-01 3.8102E-03 1.5771E-01 0.3612 0.7749 0.7189 2.4159E-02
6 10.60 25.00 4.6122E-03 1.0954E-01 1.1415E-01 1.6993E-03 8.4557E-02 0.3684 0.7719 0.7259 2.0097E-02
7 12.40 30.00 2.6226E-03 6.2393E-02 6.5016E-02 9.7567E-04 4.8447E-02 0.3720 0.7765 0.7301 2.0139E-02
8 14.31 35.00 1.4402E-03 3.5485E-02 3.6925E-02 5.2653E-04 2.7511E-02 0.3656 0.7753 0.7308 1.9139E-02
9 16.04 40.00 7.5300E-04 2.0413E-02 2.1166E-02 2.7757E-04 1.5896E-02 0.3686 0.7787 0.7379 1.7461E-02
10 17.59 45.00 3.9901E-04 1.1972E-02 1.2371E-02 1.4836E-04 9.3775E-03 0.3718 0.7833 0.7460 1.5821E-02
11 18.92 50.00 2.1372E-04 7.1738E-03 7.3875E-03 8.1976E-05 5.6699E-03 0.3836 0.7904 0.7564 1.4458E-02
LAYER-AVERAGE K-functions (units of 1/meter) at 565.0 nm
zupper zlower zmid Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z)
0.000 5.000 2.500 0.02861 0.08218 0.08050 0.03859 0.08858 0.08938 0.05523
5.000 10.000 7.500 0.04926 0.09350 0.09175 0.05865 0.10059 0.10144 0.07542
10.000 15.000 12.500 0.08983 0.10881 0.10793 0.09647 0.11603 0.11649 0.10838
15.000 20.000 17.500 0.11748 0.12215 0.12192 0.12979 0.12828 0.12824 0.14207
20.000 25.000 22.500 0.16545 0.12390 0.12576 0.16149 0.12467 0.12384 0.15121
25.000 30.000 27.500 0.11291 0.11256 0.11258 0.11097 0.11139 0.11140 0.11162
30.000 35.000 32.500 0.11988 0.11287 0.11315 0.12336 0.11317 0.11297 0.12418
35.000 40.000 37.500 0.12969 0.11059 0.11130 0.12805 0.10970 0.10936 0.12343
40.000 45.000 42.500 0.12701 0.10672 0.10741 0.12529 0.10555 0.10522 0.11888
45.000 50.000 47.500 0.12487 0.10243 0.10311 0.11864 0.10063 0.10035 0.10866
Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 565.0 nm
iz zeta z Lu(z) Ld(z) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed
(m) (1/sr) (sr) (nadir) (1/sr)
in air 1.069E-02 1.087E-01 7.565E-03 5.190E+00 2.725E-03 1.928E-03
1 0.00 0.00 5.049E-03 1.996E-01 3.665E-03 3.803E+00
2 1.23 5.00 3.831E-03 2.301E-01 4.330E-03 4.133E+00
3 2.98 10.00 2.627E-03 2.258E-01 4.911E-03 4.495E+00
4 5.35 15.00 1.528E-03 1.781E-01 5.102E-03 4.771E+00
5 8.14 20.00 7.511E-04 1.134E-01 4.763E-03 5.073E+00
6 10.60 25.00 3.526E-04 6.677E-02 4.171E-03 4.819E+00
7 12.40 30.00 2.018E-04 4.064E-02 4.166E-03 4.834E+00
8 14.31 35.00 1.085E-04 2.401E-02 3.943E-03 4.854E+00
9 16.04 40.00 5.852E-05 1.434E-02 3.681E-03 4.743E+00
10 17.59 45.00 3.229E-05 8.726E-03 3.444E-03 4.594E+00
11 18.92 50.00 1.876E-05 5.451E-03 3.308E-03 4.370E+00
Waveband 17 of 30 completed in 0.2 sec.
* * * * * Output for wavelength band 18 (570.0 to 580.0 nm; nominal wavelength = 575.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
The infinitely deep bottom boundary condition is applied at 131.2 m at 575.0 nm
RADTRANX clear-sky spectral irradiances averaged over the band from 570.0 nm to 580.0 nm:
Ed(diffuse) = 3.835E-01 Ed(direct) = 1.031E+00 Ed(total) = 1.415E+00
Absorption Coefficients of Individual Components at 575.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0772 0.0073 0.0008 0.0854
2 1.280 5.000 0.0772 0.0118 0.0014 0.0903
3 3.065 10.000 0.0772 0.0180 0.0021 0.0972
4 5.458 15.000 0.0772 0.0215 0.0025 0.1012
5 8.266 20.000 0.0772 0.0287 0.0033 0.1092
6 10.748 25.000 0.0772 0.0161 0.0019 0.0951
7 12.588 30.000 0.0772 0.0150 0.0017 0.0939
8 14.529 35.000 0.0772 0.0157 0.0018 0.0947
9 16.299 40.000 0.0772 0.0129 0.0015 0.0916
10 17.890 45.000 0.0772 0.0108 0.0013 0.0892
11 19.268 50.000 0.0772 0.0083 0.0010 0.0865
Scattering Coefficients of Individual Components at 575.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0016 0.1392 0.0000 0.1408
2 1.280 5.000 0.0016 0.2191 0.0000 0.2207
3 3.065 10.000 0.0016 0.3283 0.0000 0.3298
4 5.458 15.000 0.0016 0.3901 0.0000 0.3916
5 8.266 20.000 0.0016 0.5134 0.0000 0.5150
6 10.748 25.000 0.0016 0.2951 0.0000 0.2967
7 12.588 30.000 0.0016 0.2757 0.0000 0.2772
8 14.529 35.000 0.0016 0.2880 0.0000 0.2896
9 16.299 40.000 0.0016 0.2391 0.0000 0.2407
10 17.890 45.000 0.0016 0.2019 0.0000 0.2034
11 19.268 50.000 0.0016 0.1581 0.0000 0.1597
Backscattering Coefficients of Individual Components at 575.0 nm
(computed from the scattering coefficients and the phase functions)
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.00079 0.00139 0.00000 0.00218
2 1.280 5.000 0.00079 0.00219 0.00000 0.00298
3 3.065 10.000 0.00079 0.00328 0.00000 0.00407
4 5.458 15.000 0.00079 0.00390 0.00000 0.00469
5 8.266 20.000 0.00079 0.00513 0.00000 0.00592
6 10.748 25.000 0.00079 0.00295 0.00000 0.00374
7 12.588 30.000 0.00079 0.00276 0.00000 0.00355
8 14.529 35.000 0.00079 0.00288 0.00000 0.00367
9 16.299 40.000 0.00079 0.00239 0.00000 0.00318
10 17.890 45.000 0.00079 0.00202 0.00000 0.00281
11 19.268 50.000 0.00079 0.00158 0.00000 0.00237
Summary of Inherent Optical Properties at 575.0 nm
iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0854 0.1408 0.2262 0.6226 0.00218 0.01550
2 1.280 5.000 0.0903 0.2207 0.3110 0.7096 0.00298 0.01351
3 3.065 10.000 0.0972 0.3298 0.4271 0.7723 0.00407 0.01235
4 5.458 15.000 0.1012 0.3916 0.4929 0.7946 0.00469 0.01198
5 8.266 20.000 0.1092 0.5150 0.6242 0.8250 0.00592 0.01150
6 10.748 25.000 0.0951 0.2967 0.3919 0.7572 0.00374 0.01261
7 12.588 30.000 0.0939 0.2772 0.3711 0.7470 0.00355 0.01279
8 14.529 35.000 0.0947 0.2896 0.3843 0.7536 0.00367 0.01267
9 16.299 40.000 0.0916 0.2407 0.3323 0.7244 0.00318 0.01322
10 17.890 45.000 0.0892 0.2034 0.2927 0.6951 0.00281 0.01381
11 19.268 50.000 0.0865 0.1597 0.2462 0.6486 0.00237 0.01485
The shape of the asymptotic radiance distribution for source-free water is given by
u theta Linf(theta)
10 0.00 1.0000E+00
9 10.00 8.7273E-01
8 20.00 6.0819E-01
7 30.00 3.5079E-01
6 40.00 1.7802E-01
5 50.00 8.5056E-02
4 60.00 4.0719E-02
3 70.00 2.0535E-02
2 80.00 1.1273E-02
1 87.50 7.6040E-03
1 92.50 5.9397E-03
2 100.00 4.4259E-03
3 110.00 3.2408E-03
4 120.00 2.5709E-03
5 130.00 2.1899E-03
6 140.00 1.9726E-03
7 150.00 1.8502E-03
8 160.00 1.7837E-03
9 170.00 1.7513E-03
10 180.00 1.7406E-03
Asymptotic source-free water AOP values are
MUu(inf) = 0.3890
MUd(inf) = 0.8336
MU(inf) = 0.8078
R(m,inf) = 0.0101
k(inf) = 0.1065 (1/m)
absorp(check) = 0.0860 = k(inf)*MU(inf)
Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 575.0 nm
iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed
in air 1.4473E-01 1.9597E+00 2.1044E+00 5.3733E-02 1.4148E+00 0.3713 0.7220 0.6468 3.7978E-02
1 0.00 0.00 3.5594E-02 1.5495E+00 1.5851E+00 1.5485E-02 1.3773E+00 0.4350 0.8888 0.8591 1.1243E-02
2 1.28 5.00 2.9564E-02 9.5689E-01 9.8645E-01 1.2258E-02 8.2536E-01 0.4146 0.8625 0.8243 1.4852E-02
3 3.07 10.00 2.2110E-02 5.5877E-01 5.8088E-01 8.7596E-03 4.6634E-01 0.3962 0.8346 0.7877 1.8784E-02
4 5.46 15.00 1.3322E-02 3.0294E-01 3.1626E-01 5.1157E-03 2.4438E-01 0.3840 0.8067 0.7565 2.0933E-02
5 8.27 20.00 7.0109E-03 1.5402E-01 1.6104E-01 2.5248E-03 1.2066E-01 0.3601 0.7834 0.7336 2.0924E-02
6 10.75 25.00 2.7973E-03 7.7453E-02 8.0251E-02 1.0321E-03 6.0547E-02 0.3690 0.7817 0.7416 1.7047E-02
7 12.59 30.00 1.4898E-03 4.1150E-02 4.2640E-02 5.5742E-04 3.2395E-02 0.3742 0.7872 0.7467 1.7207E-02
8 14.53 35.00 7.7014E-04 2.1873E-02 2.2643E-02 2.8361E-04 1.7203E-02 0.3683 0.7865 0.7472 1.6486E-02
9 16.30 40.00 3.7756E-04 1.1757E-02 1.2134E-02 1.4084E-04 9.2921E-03 0.3730 0.7904 0.7542 1.5157E-02
10 17.89 45.00 1.8893E-04 6.4423E-03 6.6312E-03 7.1442E-05 5.1228E-03 0.3781 0.7952 0.7618 1.3946E-02
11 19.27 50.00 9.6166E-05 3.6063E-03 3.7025E-03 3.7717E-05 2.8939E-03 0.3922 0.8024 0.7714 1.3034E-02
LAYER-AVERAGE K-functions (units of 1/meter) at 575.0 nm
zupper zlower zmid Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z)
0.000 5.000 2.500 0.03712 0.09640 0.09485 0.04674 0.10241 0.10314 0.06323
5.000 10.000 7.500 0.05810 0.10759 0.10591 0.06720 0.11418 0.11498 0.08391
10.000 15.000 12.500 0.10133 0.12244 0.12160 0.10757 0.12923 0.12967 0.11890
15.000 20.000 17.500 0.12839 0.13528 0.13499 0.14123 0.14115 0.14115 0.15423
20.000 25.000 22.500 0.18376 0.13749 0.13929 0.17891 0.13792 0.13713 0.16705
25.000 30.000 27.500 0.12600 0.12649 0.12647 0.12321 0.12508 0.12512 0.12287
30.000 35.000 32.500 0.13196 0.12639 0.12658 0.13515 0.12659 0.12644 0.13547
35.000 40.000 37.500 0.14257 0.12416 0.12476 0.13999 0.12318 0.12291 0.13425
40.000 45.000 42.500 0.13847 0.12031 0.12085 0.13575 0.11909 0.11885 0.12831
45.000 50.000 47.500 0.13506 0.11604 0.11656 0.12775 0.11422 0.11404 0.11646
Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 575.0 nm
iz zeta z Lu(z) Ld(z) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed
(m) (1/sr) (sr) (nadir) (1/sr)
in air 1.018E-02 1.077E-01 7.194E-03 5.279E+00 2.210E-03 1.562E-03
1 0.00 0.00 4.095E-03 1.978E-01 2.973E-03 3.781E+00
2 1.28 5.00 2.985E-03 2.137E-01 3.617E-03 4.106E+00
3 3.07 10.00 1.962E-03 1.972E-01 4.208E-03 4.464E+00
4 5.46 15.00 1.083E-03 1.468E-01 4.431E-03 4.724E+00
5 8.27 20.00 5.008E-04 8.836E-02 4.151E-03 5.041E+00
6 10.75 25.00 2.172E-04 4.913E-02 3.588E-03 4.751E+00
7 12.59 30.00 1.175E-04 2.814E-02 3.628E-03 4.743E+00
8 14.53 35.00 5.970E-05 1.564E-02 3.470E-03 4.751E+00
9 16.30 40.00 3.051E-05 8.783E-03 3.283E-03 4.616E+00
10 17.89 45.00 1.606E-05 5.017E-03 3.136E-03 4.448E+00
11 19.27 50.00 8.973E-06 2.941E-03 3.101E-03 4.203E+00
Waveband 18 of 30 completed in 0.2 sec.
* * * * * Output for wavelength band 19 (580.0 to 590.0 nm; nominal wavelength = 585.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
The infinitely deep bottom boundary condition is applied at 122.4 m at 585.0 nm
RADTRANX clear-sky spectral irradiances averaged over the band from 580.0 nm to 590.0 nm:
Ed(diffuse) = 3.707E-01 Ed(direct) = 1.010E+00 Ed(total) = 1.381E+00
Absorption Coefficients of Individual Components at 585.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.1100 0.0076 0.0007 0.1183
2 1.431 5.000 0.1100 0.0122 0.0012 0.1234
3 3.358 10.000 0.1100 0.0187 0.0018 0.1305
4 5.884 15.000 0.1100 0.0224 0.0022 0.1345
5 8.820 20.000 0.1100 0.0298 0.0029 0.1427
6 11.434 25.000 0.1100 0.0167 0.0016 0.1283
7 13.416 30.000 0.1100 0.0155 0.0015 0.1270
8 15.497 35.000 0.1100 0.0163 0.0016 0.1278
9 17.411 40.000 0.1100 0.0134 0.0013 0.1247
10 19.147 45.000 0.1100 0.0112 0.0011 0.1223
11 20.674 50.000 0.1100 0.0087 0.0008 0.1195
Scattering Coefficients of Individual Components at 585.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0015 0.1369 0.0000 0.1383
2 1.431 5.000 0.0015 0.2153 0.0000 0.2168
3 3.358 10.000 0.0015 0.3226 0.0000 0.3241
4 5.884 15.000 0.0015 0.3834 0.0000 0.3849
5 8.820 20.000 0.0015 0.5046 0.0000 0.5061
6 11.434 25.000 0.0015 0.2901 0.0000 0.2916
7 13.416 30.000 0.0015 0.2709 0.0000 0.2724
8 15.497 35.000 0.0015 0.2831 0.0000 0.2846
9 17.411 40.000 0.0015 0.2350 0.0000 0.2365
10 19.147 45.000 0.0015 0.1984 0.0000 0.1999
11 20.674 50.000 0.0015 0.1554 0.0000 0.1569
Backscattering Coefficients of Individual Components at 585.0 nm
(computed from the scattering coefficients and the phase functions)
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.00073 0.00137 0.00000 0.00210
2 1.431 5.000 0.00073 0.00215 0.00000 0.00289
3 3.358 10.000 0.00073 0.00323 0.00000 0.00396
4 5.884 15.000 0.00073 0.00383 0.00000 0.00457
5 8.820 20.000 0.00073 0.00505 0.00000 0.00578
6 11.434 25.000 0.00073 0.00290 0.00000 0.00363
7 13.416 30.000 0.00073 0.00271 0.00000 0.00344
8 15.497 35.000 0.00073 0.00283 0.00000 0.00356
9 17.411 40.000 0.00073 0.00235 0.00000 0.00308
10 19.147 45.000 0.00073 0.00198 0.00000 0.00272
11 20.674 50.000 0.00073 0.00155 0.00000 0.00229
Summary of Inherent Optical Properties at 585.0 nm
iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.1183 0.1383 0.2566 0.5389 0.00210 0.01520
2 1.431 5.000 0.1234 0.2168 0.3402 0.6373 0.00289 0.01332
3 3.358 10.000 0.1305 0.3241 0.4546 0.7130 0.00396 0.01222
4 5.884 15.000 0.1345 0.3849 0.5194 0.7410 0.00457 0.01187
5 8.820 20.000 0.1427 0.5061 0.6488 0.7800 0.00578 0.01142
6 11.434 25.000 0.1283 0.2916 0.4199 0.6944 0.00363 0.01247
7 13.416 30.000 0.1270 0.2724 0.3994 0.6820 0.00344 0.01264
8 15.497 35.000 0.1278 0.2846 0.4124 0.6900 0.00356 0.01253
9 17.411 40.000 0.1247 0.2365 0.3612 0.6548 0.00308 0.01304
10 19.147 45.000 0.1223 0.1999 0.3222 0.6204 0.00272 0.01360
11 20.674 50.000 0.1195 0.1569 0.2764 0.5676 0.00229 0.01458
The shape of the asymptotic radiance distribution for source-free water is given by
u theta Linf(theta)
10 0.00 1.0000E+00
9 10.00 8.4339E-01
8 20.00 5.3890E-01
7 30.00 2.7617E-01
6 40.00 1.2389E-01
5 50.00 5.3262E-02
4 60.00 2.3659E-02
3 70.00 1.1423E-02
2 80.00 6.1418E-03
1 87.50 4.1198E-03
1 92.50 3.2267E-03
2 100.00 2.4100E-03
3 110.00 1.7739E-03
4 120.00 1.4195E-03
5 130.00 1.2213E-03
6 140.00 1.1109E-03
7 150.00 1.0507E-03
8 160.00 1.0193E-03
9 170.00 1.0046E-03
10 180.00 9.9991E-04
Asymptotic source-free water AOP values are
MUu(inf) = 0.3934
MUd(inf) = 0.8595
MU(inf) = 0.8412
R(m,inf) = 0.0068
k(inf) = 0.1415 (1/m)
absorp(check) = 0.1190 = k(inf)*MU(inf)
Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 585.0 nm
iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed
in air 1.3603E-01 1.9095E+00 2.0456E+00 5.0012E-02 1.3808E+00 0.3677 0.7231 0.6506 3.6219E-02
1 0.00 0.00 2.3294E-02 1.5029E+00 1.5262E+00 1.0010E-02 1.3415E+00 0.4297 0.8926 0.8724 7.4620E-03
2 1.43 5.00 1.6736E-02 7.6917E-01 7.8590E-01 6.8873E-03 6.6894E-01 0.4115 0.8697 0.8424 1.0296E-02
3 3.36 10.00 1.0794E-02 3.7105E-01 3.8185E-01 4.2716E-03 3.1385E-01 0.3957 0.8458 0.8107 1.3610E-02
4 5.88 15.00 5.4778E-03 1.6594E-01 1.7142E-01 2.1150E-03 1.3632E-01 0.3861 0.8215 0.7829 1.5515E-02
5 8.82 20.00 2.4666E-03 6.9652E-02 7.2118E-02 8.9661E-04 5.5755E-02 0.3635 0.8005 0.7607 1.6081E-02
6 11.43 25.00 8.0511E-04 2.8925E-02 2.9730E-02 3.0407E-04 2.3172E-02 0.3777 0.8011 0.7692 1.3122E-02
7 13.42 30.00 3.6981E-04 1.2747E-02 1.3116E-02 1.4353E-04 1.0298E-02 0.3881 0.8079 0.7742 1.3937E-02
8 15.50 35.00 1.6975E-04 5.6413E-03 5.8111E-03 6.5889E-05 4.5549E-03 0.3882 0.8074 0.7725 1.4466E-02
9 17.41 40.00 7.6379E-05 2.5316E-03 2.6080E-03 3.0703E-05 2.0533E-03 0.4020 0.8111 0.7755 1.4954E-02
10 19.15 45.00 3.7265E-05 1.1631E-03 1.2004E-03 1.5560E-05 9.4763E-04 0.4176 0.8147 0.7765 1.6420E-02
11 20.67 50.00 1.9896E-05 5.4878E-04 5.6867E-04 8.7309E-06 4.4977E-04 0.4388 0.8196 0.7756 1.9412E-02
LAYER-AVERAGE K-functions (units of 1/meter) at 585.0 nm
zupper zlower zmid Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z)
0.000 5.000 2.500 0.06612 0.13397 0.13274 0.07478 0.13916 0.13974 0.08988
5.000 10.000 7.500 0.08772 0.14579 0.14436 0.09554 0.15136 0.15203 0.11079
10.000 15.000 12.500 0.13566 0.16094 0.16018 0.14058 0.16678 0.16717 0.14931
15.000 20.000 17.500 0.15957 0.17363 0.17316 0.17164 0.17881 0.17892 0.18402
20.000 25.000 22.500 0.22393 0.17576 0.17723 0.21627 0.17560 0.17500 0.20048
25.000 30.000 27.500 0.15560 0.16389 0.16366 0.15015 0.16220 0.16236 0.14578
30.000 35.000 32.500 0.15573 0.16303 0.16282 0.15571 0.16316 0.16326 0.15183
35.000 40.000 37.500 0.15973 0.16025 0.16024 0.15272 0.15935 0.15945 0.14179
40.000 45.000 42.500 0.14353 0.15555 0.15519 0.13593 0.15464 0.15494 0.12421
45.000 50.000 47.500 0.12551 0.15023 0.14942 0.11557 0.14904 0.14965 0.10320
Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 585.0 nm
iz zeta z Lu(z) Ld(z) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed
(m) (1/sr) (sr) (nadir) (1/sr)
in air 9.209E-03 1.041E-01 6.670E-03 5.431E+00 1.438E-03 1.042E-03
1 0.00 0.00 2.666E-03 1.912E-01 1.987E-03 3.755E+00
2 1.43 5.00 1.701E-03 1.743E-01 2.543E-03 4.049E+00
3 3.36 10.00 9.775E-04 1.355E-01 3.115E-03 4.370E+00
4 5.88 15.00 4.633E-04 8.492E-02 3.399E-03 4.565E+00
5 8.82 20.00 1.846E-04 4.304E-02 3.312E-03 4.856E+00
6 11.43 25.00 6.776E-05 2.015E-02 2.924E-03 4.487E+00
7 13.42 30.00 3.269E-05 9.736E-03 3.174E-03 4.390E+00
8 15.50 35.00 1.530E-05 4.556E-03 3.359E-03 4.306E+00
9 17.41 40.00 7.531E-06 2.154E-03 3.668E-03 4.077E+00
10 19.15 45.00 4.047E-06 1.037E-03 4.270E-03 3.845E+00
11 20.67 50.00 2.416E-06 5.133E-04 5.371E-03 3.614E+00
Waveband 19 of 30 completed in 0.2 sec.
* * * * * Output for wavelength band 20 (590.0 to 600.0 nm; nominal wavelength = 595.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
The infinitely deep bottom boundary condition is applied at 110.6 m at 595.0 nm
RADTRANX clear-sky spectral irradiances averaged over the band from 590.0 nm to 600.0 nm:
Ed(diffuse) = 3.536E-01 Ed(direct) = 9.762E-01 Ed(total) = 1.330E+00
Absorption Coefficients of Individual Components at 595.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.1672 0.0067 0.0006 0.1746
2 1.696 5.000 0.1672 0.0109 0.0010 0.1791
3 3.878 10.000 0.1672 0.0166 0.0016 0.1854
4 6.646 15.000 0.1672 0.0199 0.0019 0.1890
5 9.814 20.000 0.1672 0.0265 0.0025 0.1962
6 12.666 25.000 0.1672 0.0148 0.0014 0.1834
7 14.902 30.000 0.1672 0.0138 0.0013 0.1823
8 17.234 35.000 0.1672 0.0145 0.0014 0.1830
9 19.403 40.000 0.1672 0.0119 0.0011 0.1802
10 21.398 45.000 0.1672 0.0100 0.0009 0.1781
11 23.188 50.000 0.1672 0.0077 0.0007 0.1756
Scattering Coefficients of Individual Components at 595.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0014 0.1346 0.0000 0.1359
2 1.696 5.000 0.0014 0.2117 0.0000 0.2131
3 3.878 10.000 0.0014 0.3172 0.0000 0.3186
4 6.646 15.000 0.0014 0.3770 0.0000 0.3783
5 9.814 20.000 0.0014 0.4961 0.0000 0.4975
6 12.666 25.000 0.0014 0.2852 0.0000 0.2866
7 14.902 30.000 0.0014 0.2664 0.0000 0.2677
8 17.234 35.000 0.0014 0.2783 0.0000 0.2797
9 19.403 40.000 0.0014 0.2311 0.0000 0.2324
10 21.398 45.000 0.0014 0.1951 0.0000 0.1964
11 23.188 50.000 0.0014 0.1528 0.0000 0.1541
Backscattering Coefficients of Individual Components at 595.0 nm
(computed from the scattering coefficients and the phase functions)
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.00068 0.00135 0.00000 0.00203
2 1.696 5.000 0.00068 0.00212 0.00000 0.00280
3 3.878 10.000 0.00068 0.00317 0.00000 0.00385
4 6.646 15.000 0.00068 0.00377 0.00000 0.00445
5 9.814 20.000 0.00068 0.00496 0.00000 0.00564
6 12.666 25.000 0.00068 0.00285 0.00000 0.00353
7 14.902 30.000 0.00068 0.00266 0.00000 0.00335
8 17.234 35.000 0.00068 0.00278 0.00000 0.00346
9 19.403 40.000 0.00068 0.00231 0.00000 0.00299
10 21.398 45.000 0.00068 0.00195 0.00000 0.00263
11 23.188 50.000 0.00068 0.00153 0.00000 0.00221
Summary of Inherent Optical Properties at 595.0 nm
iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.1746 0.1359 0.3105 0.4377 0.00203 0.01492
2 1.696 5.000 0.1791 0.2131 0.3922 0.5433 0.00280 0.01314
3 3.878 10.000 0.1854 0.3186 0.5039 0.6322 0.00385 0.01210
4 6.646 15.000 0.1890 0.3783 0.5673 0.6669 0.00445 0.01177
5 9.814 20.000 0.1962 0.4975 0.6937 0.7172 0.00564 0.01134
6 12.666 25.000 0.1834 0.2866 0.4700 0.6097 0.00353 0.01233
7 14.902 30.000 0.1823 0.2677 0.4501 0.5949 0.00335 0.01250
8 17.234 35.000 0.1830 0.2797 0.4627 0.6044 0.00346 0.01239
9 19.403 40.000 0.1802 0.2324 0.4127 0.5633 0.00299 0.01287
10 21.398 45.000 0.1781 0.1964 0.3745 0.5245 0.00263 0.01340
11 23.188 50.000 0.1756 0.1541 0.3298 0.4674 0.00221 0.01433
The shape of the asymptotic radiance distribution for source-free water is given by
u theta Linf(theta)
10 0.00 1.0000E+00
9 10.00 7.9976E-01
8 20.00 4.4850E-01
7 30.00 1.9457E-01
6 40.00 7.4477E-02
5 50.00 2.8417E-02
4 60.00 1.1771E-02
3 70.00 5.5133E-03
2 80.00 2.9397E-03
1 87.50 1.9741E-03
1 92.50 1.5558E-03
2 100.00 1.1685E-03
3 110.00 8.6712E-04
4 120.00 7.0140E-04
5 130.00 6.1040E-04
6 140.00 5.6118E-04
7 150.00 5.3552E-04
8 160.00 5.2296E-04
9 170.00 5.1749E-04
10 180.00 5.1583E-04
Asymptotic source-free water AOP values are
MUu(inf) = 0.3989
MUd(inf) = 0.8863
MU(inf) = 0.8743
R(m,inf) = 0.0043
k(inf) = 0.2004 (1/m)
absorp(check) = 0.1752 = k(inf)*MU(inf)
Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 595.0 nm
iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed
in air 1.2711E-01 1.8362E+00 1.9633E+00 4.6402E-02 1.3298E+00 0.3650 0.7242 0.6537 3.4894E-02
1 0.00 0.00 1.4175E-02 1.4406E+00 1.4548E+00 6.0038E-03 1.2900E+00 0.4235 0.8955 0.8826 4.6540E-03
2 1.70 5.00 7.8117E-03 5.3687E-01 5.4468E-01 3.2039E-03 4.7109E-01 0.4101 0.8775 0.8590 6.8012E-03
3 3.88 10.00 3.9349E-03 1.8917E-01 1.9310E-01 1.5741E-03 1.6239E-01 0.4000 0.8584 0.8328 9.6935E-03
4 6.65 15.00 1.5576E-03 6.2136E-02 6.3694E-02 6.1709E-04 5.2062E-02 0.3962 0.8379 0.8077 1.1853E-02
5 9.81 20.00 5.7668E-04 1.9291E-02 1.9868E-02 2.2070E-04 1.5796E-02 0.3827 0.8188 0.7840 1.3972E-02
6 12.67 25.00 1.6535E-04 5.9315E-03 6.0968E-03 6.8500E-05 4.8667E-03 0.4143 0.8205 0.7870 1.4075E-02
7 14.90 30.00 7.4112E-05 1.9482E-03 2.0223E-03 3.2344E-05 1.6071E-03 0.4364 0.8249 0.7787 2.0126E-02
8 17.23 35.00 3.6624E-05 6.5523E-04 6.9185E-04 1.6466E-05 5.3573E-04 0.4496 0.8176 0.7505 3.0736E-02
9 19.40 40.00 1.9862E-05 2.2921E-04 2.4907E-04 9.2654E-06 1.8519E-04 0.4665 0.8079 0.7063 5.0032E-02
10 21.40 45.00 1.2175E-05 8.5855E-05 9.8031E-05 5.8122E-06 6.7627E-05 0.4774 0.7877 0.6306 8.5945E-02
11 23.19 50.00 8.1562E-06 3.5473E-05 4.3629E-05 3.9546E-06 2.6763E-05 0.4849 0.7545 0.5228 1.4776E-01
LAYER-AVERAGE K-functions (units of 1/meter) at 595.0 nm
zupper zlower zmid Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z)
0.000 5.000 2.500 0.11917 0.19741 0.19648 0.12560 0.20147 0.20191 0.13740
5.000 10.000 7.500 0.13715 0.20862 0.20740 0.14214 0.21301 0.21360 0.15339
10.000 15.000 12.500 0.18535 0.22266 0.22183 0.18728 0.22751 0.22794 0.19035
15.000 20.000 17.500 0.19872 0.23394 0.23300 0.20564 0.23854 0.23897 0.21106
20.000 25.000 22.500 0.24984 0.23587 0.23626 0.23400 0.23547 0.23549 0.20980
25.000 30.000 27.500 0.16050 0.22267 0.22071 0.15008 0.22160 0.22283 0.13938
30.000 35.000 32.500 0.14097 0.21794 0.21452 0.13502 0.21971 0.22189 0.12670
35.000 40.000 37.500 0.12238 0.21007 0.20433 0.11501 0.21245 0.21647 0.10627
40.000 45.000 42.500 0.09788 0.19640 0.18649 0.09327 0.20147 0.20918 0.08752
45.000 50.000 47.500 0.08013 0.17678 0.16191 0.07702 0.18540 0.19940 0.07318
Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 595.0 nm
iz zeta z Lu(z) Ld(z) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed
(m) (1/sr) (sr) (nadir) (1/sr)
in air 8.343E-03 9.936E-02 6.274E-03 5.562E+00 8.647E-04 6.503E-04
1 0.00 0.00 1.603E-03 1.824E-01 1.243E-03 3.745E+00
2 1.70 5.00 8.064E-04 1.247E-01 1.712E-03 3.973E+00
3 3.88 10.00 3.745E-04 7.269E-02 2.306E-03 4.203E+00
4 6.65 15.00 1.446E-04 3.432E-02 2.777E-03 4.268E+00
5 9.81 20.00 5.033E-05 1.313E-02 3.187E-03 4.385E+00
6 12.67 25.00 1.763E-05 4.644E-03 3.623E-03 3.885E+00
7 14.90 30.00 8.782E-06 1.691E-03 5.465E-03 3.683E+00
8 17.23 35.00 4.661E-06 5.976E-04 8.700E-03 3.533E+00
9 19.40 40.00 2.740E-06 2.143E-04 1.479E-02 3.382E+00
10 21.40 45.00 1.769E-06 7.894E-05 2.615E-02 3.286E+00
11 23.19 50.00 1.227E-06 3.038E-05 4.584E-02 3.224E+00
Waveband 20 of 30 completed in 0.3 sec.
* * * * * Output for wavelength band 21 (600.0 to 610.0 nm; nominal wavelength = 605.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
The infinitely deep bottom boundary condition is applied at 97.8 m at 605.0 nm
RADTRANX clear-sky spectral irradiances averaged over the band from 600.0 nm to 610.0 nm:
Ed(diffuse) = 3.601E-01 Ed(direct) = 1.006E+00 Ed(total) = 1.366E+00
Absorption Coefficients of Individual Components at 605.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.2577 0.0076 0.0006 0.2658
2 2.140 5.000 0.2577 0.0122 0.0009 0.2708
3 4.760 10.000 0.2577 0.0187 0.0014 0.2777
4 7.960 15.000 0.2577 0.0224 0.0016 0.2817
5 11.557 20.000 0.2577 0.0298 0.0022 0.2897
6 14.842 25.000 0.2577 0.0167 0.0012 0.2756
7 17.515 30.000 0.2577 0.0155 0.0011 0.2744
8 20.284 35.000 0.2577 0.0163 0.0012 0.2752
9 22.891 40.000 0.2577 0.0134 0.0010 0.2721
10 25.327 45.000 0.2577 0.0112 0.0008 0.2697
11 27.560 50.000 0.2577 0.0087 0.0006 0.2670
Scattering Coefficients of Individual Components at 605.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0013 0.1323 0.0000 0.1336
2 2.140 5.000 0.0013 0.2082 0.0000 0.2095
3 4.760 10.000 0.0013 0.3120 0.0000 0.3132
4 7.960 15.000 0.0013 0.3707 0.0000 0.3720
5 11.557 20.000 0.0013 0.4879 0.0000 0.4892
6 14.842 25.000 0.0013 0.2805 0.0000 0.2818
7 17.515 30.000 0.0013 0.2620 0.0000 0.2633
8 20.284 35.000 0.0013 0.2737 0.0000 0.2750
9 22.891 40.000 0.0013 0.2273 0.0000 0.2285
10 25.327 45.000 0.0013 0.1919 0.0000 0.1931
11 27.560 50.000 0.0013 0.1503 0.0000 0.1515
Backscattering Coefficients of Individual Components at 605.0 nm
(computed from the scattering coefficients and the phase functions)
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.00063 0.00132 0.00000 0.00196
2 2.140 5.000 0.00063 0.00208 0.00000 0.00272
3 4.760 10.000 0.00063 0.00312 0.00000 0.00375
4 7.960 15.000 0.00063 0.00371 0.00000 0.00434
5 11.557 20.000 0.00063 0.00488 0.00000 0.00551
6 14.842 25.000 0.00063 0.00281 0.00000 0.00344
7 17.515 30.000 0.00063 0.00262 0.00000 0.00325
8 20.284 35.000 0.00063 0.00274 0.00000 0.00337
9 22.891 40.000 0.00063 0.00227 0.00000 0.00291
10 25.327 45.000 0.00063 0.00192 0.00000 0.00255
11 27.560 50.000 0.00063 0.00150 0.00000 0.00214
Summary of Inherent Optical Properties at 605.0 nm
iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.2658 0.1336 0.3994 0.3345 0.00196 0.01465
2 2.140 5.000 0.2708 0.2095 0.4803 0.4362 0.00272 0.01297
3 4.760 10.000 0.2777 0.3132 0.5910 0.5301 0.00375 0.01198
4 7.960 15.000 0.2817 0.3720 0.6537 0.5691 0.00434 0.01167
5 11.557 20.000 0.2897 0.4892 0.7789 0.6281 0.00551 0.01127
6 14.842 25.000 0.2756 0.2818 0.5574 0.5055 0.00344 0.01221
7 17.515 30.000 0.2744 0.2633 0.5376 0.4897 0.00325 0.01236
8 20.284 35.000 0.2752 0.2750 0.5502 0.4999 0.00337 0.01226
9 22.891 40.000 0.2721 0.2285 0.5006 0.4565 0.00291 0.01272
10 25.327 45.000 0.2697 0.1931 0.4628 0.4172 0.00255 0.01322
11 27.560 50.000 0.2670 0.1515 0.4185 0.3620 0.00214 0.01410
The shape of the asymptotic radiance distribution for source-free water is given by
u theta Linf(theta)
10 0.00 1.0000E+00
9 10.00 7.3908E-01
8 20.00 3.4519E-01
7 30.00 1.2123E-01
6 40.00 3.8924E-02
5 50.00 1.3336E-02
4 60.00 5.2805E-03
3 70.00 2.4510E-03
2 80.00 1.3125E-03
1 87.50 8.8676E-04
1 92.50 7.0417E-04
2 100.00 5.3238E-04
3 110.00 3.9854E-04
4 120.00 3.2578E-04
5 130.00 2.8657E-04
6 140.00 2.6608E-04
7 150.00 2.5599E-04
8 160.00 2.5147E-04
9 170.00 2.4973E-04
10 180.00 2.4926E-04
Asymptotic source-free water AOP values are
MUu(inf) = 0.4044
MUd(inf) = 0.9108
MU(inf) = 0.9031
R(m,inf) = 0.0026
k(inf) = 0.2951 (1/m)
absorp(check) = 0.2665 = k(inf)*MU(inf)
Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 605.0 nm
iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed
in air 1.2774E-01 1.8832E+00 2.0109E+00 4.6441E-02 1.3657E+00 0.3636 0.7252 0.6560 3.4006E-02
1 0.00 0.00 8.9526E-03 1.4749E+00 1.4838E+00 3.7334E-03 1.3236E+00 0.4170 0.8974 0.8895 2.8206E-03
2 2.14 5.00 3.1381E-03 3.2892E-01 3.3206E-01 1.2930E-03 2.9132E-01 0.4120 0.8857 0.8734 4.4385E-03
3 4.76 10.00 1.0941E-03 6.9395E-02 7.0490E-02 4.5472E-04 6.0484E-02 0.4156 0.8716 0.8516 7.5180E-03
4 7.96 15.00 3.4521E-04 1.3694E-02 1.4039E-02 1.4844E-04 1.1686E-02 0.4300 0.8534 0.8218 1.2702E-02
5 11.56 20.00 1.2453E-04 2.6073E-03 2.7318E-03 5.5069E-05 2.1636E-03 0.4422 0.8298 0.7718 2.5453E-02
6 14.84 25.00 4.8729E-05 5.2014E-04 5.6886E-04 2.3165E-05 4.2259E-04 0.4754 0.8125 0.7021 5.4816E-02
7 17.52 30.00 2.8028E-05 1.2755E-04 1.5558E-04 1.3553E-05 9.7648E-05 0.4836 0.7656 0.5405 1.3880E-01
8 20.28 35.00 1.6662E-05 4.1270E-05 5.7932E-05 8.0929E-06 2.8095E-05 0.4857 0.6808 0.3453 2.8806E-01
9 22.89 40.00 1.0261E-05 1.8007E-05 2.8268E-05 5.0204E-06 1.0968E-05 0.4892 0.6091 0.2104 4.5773E-01
10 25.33 45.00 6.6583E-06 9.9079E-06 1.6566E-05 3.2754E-06 5.6281E-06 0.4919 0.5680 0.1420 5.8198E-01
11 27.56 50.00 4.5255E-06 6.2072E-06 1.0733E-05 2.2393E-06 3.4149E-06 0.4948 0.5501 0.1095 6.5574E-01
LAYER-AVERAGE K-functions (units of 1/meter) at 605.0 nm
zupper zlower zmid Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z)
0.000 5.000 2.500 0.20967 0.30010 0.29941 0.21206 0.30274 0.30306 0.21771
5.000 10.000 7.500 0.21073 0.31120 0.30997 0.20901 0.31441 0.31503 0.21018
10.000 15.000 12.500 0.23071 0.32457 0.32272 0.22390 0.32879 0.32984 0.21512
15.000 20.000 17.500 0.20392 0.33173 0.32738 0.19832 0.33733 0.33993 0.19087
20.000 25.000 22.500 0.18766 0.32239 0.31382 0.17319 0.32662 0.33274 0.15601
25.000 30.000 27.500 0.11061 0.28112 0.25930 0.10720 0.29301 0.31162 0.10437
30.000 35.000 32.500 0.10402 0.22567 0.19758 0.10313 0.24916 0.28722 0.10166
35.000 40.000 37.500 0.09694 0.16588 0.14351 0.09550 0.18812 0.24257 0.09310
40.000 45.000 42.500 0.08651 0.11948 0.10687 0.08541 0.13344 0.18549 0.08333
45.000 50.000 47.500 0.07723 0.09352 0.08681 0.07606 0.09992 0.13875 0.07390
Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 605.0 nm
iz zeta z Lu(z) Ld(z) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed
(m) (1/sr) (sr) (nadir) (1/sr)
in air 8.209E-03 1.012E-01 6.011E-03 5.657E+00 5.346E-04 3.915E-04
1 0.00 0.00 9.912E-04 1.857E-01 7.488E-04 3.767E+00
2 2.14 5.00 3.337E-04 7.948E-02 1.146E-03 3.874E+00
3 4.76 10.00 1.167E-04 2.873E-02 1.929E-03 3.897E+00
4 7.96 15.00 3.980E-05 8.375E-03 3.406E-03 3.730E+00
5 11.56 20.00 1.533E-05 1.982E-03 7.083E-03 3.593E+00
6 14.84 25.00 7.025E-06 4.404E-04 1.662E-02 3.297E+00
7 17.52 30.00 4.169E-06 1.044E-04 4.269E-02 3.251E+00
8 20.28 35.00 2.508E-06 2.592E-05 8.926E-02 3.227E+00
9 22.89 40.00 1.574E-06 7.668E-06 1.435E-01 3.189E+00
10 25.33 45.00 1.038E-06 2.965E-06 1.844E-01 3.156E+00
11 27.56 50.00 7.173E-07 1.502E-06 2.101E-01 3.122E+00
Waveband 21 of 30 completed in 0.4 sec.
* * * * * Output for wavelength band 22 (610.0 to 620.0 nm; nominal wavelength = 615.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
The infinitely deep bottom boundary condition is applied at 97.0 m at 615.0 nm
RADTRANX clear-sky spectral irradiances averaged over the band from 610.0 nm to 620.0 nm:
Ed(diffuse) = 3.486E-01 Ed(direct) = 9.845E-01 Ed(total) = 1.333E+00
Absorption Coefficients of Individual Components at 615.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.2678 0.0073 0.0005 0.2756
2 2.175 5.000 0.2678 0.0118 0.0008 0.2803
3 4.822 10.000 0.2678 0.0180 0.0012 0.2870
4 8.038 15.000 0.2678 0.0215 0.0014 0.2908
5 11.643 20.000 0.2678 0.0287 0.0019 0.2984
6 14.942 25.000 0.2678 0.0161 0.0011 0.2849
7 17.641 30.000 0.2678 0.0150 0.0010 0.2837
8 20.434 35.000 0.2678 0.0157 0.0010 0.2845
9 23.068 40.000 0.2678 0.0129 0.0009 0.2815
10 25.533 45.000 0.2678 0.0108 0.0007 0.2793
11 27.799 50.000 0.2678 0.0083 0.0006 0.2767
Scattering Coefficients of Individual Components at 615.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0012 0.1302 0.0000 0.1314
2 2.175 5.000 0.0012 0.2048 0.0000 0.2060
3 4.822 10.000 0.0012 0.3069 0.0000 0.3081
4 8.038 15.000 0.0012 0.3647 0.0000 0.3659
5 11.643 20.000 0.0012 0.4800 0.0000 0.4812
6 14.942 25.000 0.0012 0.2759 0.0000 0.2771
7 17.641 30.000 0.0012 0.2577 0.0000 0.2589
8 20.434 35.000 0.0012 0.2693 0.0000 0.2705
9 23.068 40.000 0.0012 0.2236 0.0000 0.2247
10 25.533 45.000 0.0012 0.1887 0.0000 0.1899
11 27.799 50.000 0.0012 0.1478 0.0000 0.1490
Backscattering Coefficients of Individual Components at 615.0 nm
(computed from the scattering coefficients and the phase functions)
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.00059 0.00130 0.00000 0.00189
2 2.175 5.000 0.00059 0.00205 0.00000 0.00264
3 4.822 10.000 0.00059 0.00307 0.00000 0.00366
4 8.038 15.000 0.00059 0.00365 0.00000 0.00424
5 11.643 20.000 0.00059 0.00480 0.00000 0.00539
6 14.942 25.000 0.00059 0.00276 0.00000 0.00335
7 17.641 30.000 0.00059 0.00258 0.00000 0.00317
8 20.434 35.000 0.00059 0.00269 0.00000 0.00328
9 23.068 40.000 0.00059 0.00224 0.00000 0.00283
10 25.533 45.000 0.00059 0.00189 0.00000 0.00248
11 27.799 50.000 0.00059 0.00148 0.00000 0.00207
Summary of Inherent Optical Properties at 615.0 nm
iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.2756 0.1314 0.4070 0.3228 0.00189 0.01441
2 2.175 5.000 0.2803 0.2060 0.4864 0.4236 0.00264 0.01281
3 4.822 10.000 0.2870 0.3081 0.5950 0.5178 0.00366 0.01188
4 8.038 15.000 0.2908 0.3659 0.6566 0.5572 0.00424 0.01158
5 11.643 20.000 0.2984 0.4812 0.7796 0.6172 0.00539 0.01120
6 14.942 25.000 0.2849 0.2771 0.5621 0.4931 0.00335 0.01209
7 17.641 30.000 0.2837 0.2589 0.5427 0.4771 0.00317 0.01224
8 20.434 35.000 0.2845 0.2705 0.5550 0.4873 0.00328 0.01214
9 23.068 40.000 0.2815 0.2247 0.5063 0.4439 0.00283 0.01258
10 25.533 45.000 0.2793 0.1899 0.4692 0.4047 0.00248 0.01305
11 27.799 50.000 0.2767 0.1490 0.4257 0.3500 0.00207 0.01389
The shape of the asymptotic radiance distribution for source-free water is given by
u theta Linf(theta)
10 0.00 1.0000E+00
9 10.00 7.3071E-01
8 20.00 3.3278E-01
7 30.00 1.1371E-01
6 40.00 3.5754E-02
5 50.00 1.2109E-02
4 60.00 4.7741E-03
3 70.00 2.2133E-03
2 80.00 1.1844E-03
1 87.50 7.9979E-04
1 92.50 6.3500E-04
2 100.00 4.7970E-04
3 110.00 3.5869E-04
4 120.00 2.9296E-04
5 130.00 2.5758E-04
6 140.00 2.3912E-04
7 150.00 2.3006E-04
8 160.00 2.2603E-04
9 170.00 2.2449E-04
10 180.00 2.2407E-04
Asymptotic source-free water AOP values are
MUu(inf) = 0.4041
MUd(inf) = 0.9135
MU(inf) = 0.9063
R(m,inf) = 0.0024
k(inf) = 0.3048 (1/m)
absorp(check) = 0.2762 = k(inf)*MU(inf)
Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 615.0 nm
iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed
in air 1.2379E-01 1.8359E+00 1.9597E+00 4.5105E-02 1.3331E+00 0.3644 0.7261 0.6573 3.3834E-02
1 0.00 0.00 8.1315E-03 1.4391E+00 1.4472E+00 3.3782E-03 1.2920E+00 0.4154 0.8978 0.8904 2.6146E-03
2 2.17 5.00 2.7136E-03 3.0426E-01 3.0697E-01 1.1155E-03 2.6985E-01 0.4111 0.8869 0.8754 4.1337E-03
3 4.82 10.00 9.0676E-04 6.0999E-02 6.1905E-02 3.7678E-04 5.3282E-02 0.4155 0.8735 0.8546 7.0714E-03
4 8.04 15.00 2.7776E-04 1.1465E-02 1.1743E-02 1.1976E-04 9.8125E-03 0.4311 0.8558 0.8254 1.2205E-02
5 11.64 20.00 9.9131E-05 2.0865E-03 2.1856E-03 4.4009E-05 1.7365E-03 0.4440 0.8322 0.7744 2.5344E-02
6 14.94 25.00 3.8346E-05 3.9929E-04 4.3764E-04 1.8263E-05 3.2483E-04 0.4763 0.8135 0.7005 5.6223E-02
7 17.64 30.00 2.1717E-05 9.4835E-05 1.1655E-04 1.0512E-05 7.2357E-05 0.4840 0.7630 0.5306 1.4528E-01
8 20.43 35.00 1.2677E-05 3.0334E-05 4.3011E-05 6.1561E-06 2.0463E-05 0.4856 0.6746 0.3326 3.0084E-01
9 23.07 40.00 7.6158E-06 1.3163E-05 2.0779E-05 3.7237E-06 7.9534E-06 0.4889 0.6042 0.2036 4.6819E-01
10 25.53 45.00 4.8060E-06 7.1574E-06 1.1963E-05 2.3617E-06 4.0516E-06 0.4914 0.5661 0.1413 5.8290E-01
11 27.80 50.00 3.1654E-06 4.3838E-06 7.5492E-06 1.5648E-06 2.4127E-06 0.4943 0.5504 0.1123 6.4856E-01
LAYER-AVERAGE K-functions (units of 1/meter) at 615.0 nm
zupper zlower zmid Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z)
0.000 5.000 2.500 0.21949 0.31078 0.31013 0.22161 0.31322 0.31352 0.22682
5.000 10.000 7.500 0.21923 0.32140 0.32023 0.21708 0.32445 0.32504 0.21756
10.000 15.000 12.500 0.23662 0.33431 0.33247 0.22924 0.33839 0.33943 0.21976
15.000 20.000 17.500 0.20607 0.34077 0.33627 0.20021 0.34636 0.34904 0.19275
20.000 25.000 22.500 0.18996 0.33071 0.32166 0.17591 0.33526 0.34170 0.15924
25.000 30.000 27.500 0.11371 0.28751 0.26461 0.11048 0.30034 0.32016 0.10785
30.000 35.000 32.500 0.10766 0.22797 0.19937 0.10701 0.25260 0.29277 0.10587
35.000 40.000 37.500 0.10191 0.16697 0.14550 0.10055 0.18901 0.24372 0.09827
40.000 45.000 42.500 0.09207 0.12186 0.11042 0.09107 0.13490 0.18349 0.08910
45.000 50.000 47.500 0.08352 0.09805 0.09208 0.08233 0.10367 0.13793 0.08005
Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 615.0 nm
iz zeta z Lu(z) Ld(z) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed
(m) (1/sr) (sr) (nadir) (1/sr)
in air 7.968E-03 9.794E-02 5.977E-03 5.661E+00 4.817E-04 3.613E-04
1 0.00 0.00 8.930E-04 1.798E-01 6.912E-04 3.783E+00
2 2.17 5.00 2.873E-04 7.313E-02 1.065E-03 3.883E+00
3 4.82 10.00 9.681E-05 2.521E-02 1.817E-03 3.892E+00
4 8.04 15.00 3.226E-05 7.034E-03 3.288E-03 3.712E+00
5 11.64 20.00 1.231E-05 1.598E-03 7.087E-03 3.576E+00
6 14.94 25.00 5.551E-06 3.408E-04 1.709E-02 3.290E+00
7 17.64 30.00 3.237E-06 7.758E-05 4.474E-02 3.247E+00
8 20.43 35.00 1.907E-06 1.863E-05 9.318E-02 3.229E+00
9 23.07 40.00 1.166E-06 5.415E-06 1.467E-01 3.192E+00
10 25.53 45.00 7.471E-07 2.085E-06 1.844E-01 3.161E+00
11 27.80 50.00 5.007E-07 1.051E-06 2.075E-01 3.125E+00
Waveband 22 of 30 completed in 0.3 sec.
* * * * * Output for wavelength band 23 (620.0 to 630.0 nm; nominal wavelength = 625.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
The infinitely deep bottom boundary condition is applied at 95.5 m at 625.0 nm
RADTRANX clear-sky spectral irradiances averaged over the band from 620.0 nm to 630.0 nm:
Ed(diffuse) = 3.421E-01 Ed(direct) = 9.764E-01 Ed(total) = 1.319E+00
Absorption Coefficients of Individual Components at 625.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.2834 0.0082 0.0004 0.2920
2 2.245 5.000 0.2834 0.0131 0.0007 0.2972
3 4.957 10.000 0.2834 0.0200 0.0010 0.3045
4 8.234 15.000 0.2834 0.0240 0.0012 0.3086
5 11.896 20.000 0.2834 0.0320 0.0017 0.3171
6 15.255 25.000 0.2834 0.0179 0.0009 0.3022
7 18.019 30.000 0.2834 0.0167 0.0009 0.3009
8 20.876 35.000 0.2834 0.0175 0.0009 0.3018
9 23.575 40.000 0.2834 0.0144 0.0007 0.2985
10 26.108 45.000 0.2834 0.0120 0.0006 0.2961
11 28.443 50.000 0.2834 0.0093 0.0005 0.2932
Scattering Coefficients of Individual Components at 625.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0011 0.1281 0.0000 0.1292
2 2.245 5.000 0.0011 0.2016 0.0000 0.2027
3 4.957 10.000 0.0011 0.3020 0.0000 0.3031
4 8.234 15.000 0.0011 0.3589 0.0000 0.3600
5 11.896 20.000 0.0011 0.4723 0.0000 0.4734
6 15.255 25.000 0.0011 0.2715 0.0000 0.2726
7 18.019 30.000 0.0011 0.2536 0.0000 0.2547
8 20.876 35.000 0.0011 0.2650 0.0000 0.2661
9 23.575 40.000 0.0011 0.2200 0.0000 0.2211
10 26.108 45.000 0.0011 0.1857 0.0000 0.1868
11 28.443 50.000 0.0011 0.1454 0.0000 0.1465
Backscattering Coefficients of Individual Components at 625.0 nm
(computed from the scattering coefficients and the phase functions)
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.00055 0.00128 0.00000 0.00183
2 2.245 5.000 0.00055 0.00202 0.00000 0.00257
3 4.957 10.000 0.00055 0.00302 0.00000 0.00357
4 8.234 15.000 0.00055 0.00359 0.00000 0.00414
5 11.896 20.000 0.00055 0.00472 0.00000 0.00527
6 15.255 25.000 0.00055 0.00272 0.00000 0.00327
7 18.019 30.000 0.00055 0.00254 0.00000 0.00309
8 20.876 35.000 0.00055 0.00265 0.00000 0.00320
9 23.575 40.000 0.00055 0.00220 0.00000 0.00275
10 26.108 45.000 0.00055 0.00186 0.00000 0.00241
11 28.443 50.000 0.00055 0.00145 0.00000 0.00201
Summary of Inherent Optical Properties at 625.0 nm
iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.2920 0.1292 0.4212 0.3068 0.00183 0.01418
2 2.245 5.000 0.2972 0.2027 0.4998 0.4054 0.00257 0.01267
3 4.957 10.000 0.3045 0.3031 0.6076 0.4989 0.00357 0.01178
4 8.234 15.000 0.3086 0.3600 0.6686 0.5384 0.00414 0.01150
5 11.896 20.000 0.3171 0.4734 0.7905 0.5989 0.00527 0.01114
6 15.255 25.000 0.3022 0.2726 0.5749 0.4742 0.00327 0.01198
7 18.019 30.000 0.3009 0.2547 0.5556 0.4584 0.00309 0.01212
8 20.876 35.000 0.3018 0.2661 0.5678 0.4686 0.00320 0.01203
9 23.575 40.000 0.2985 0.2211 0.5196 0.4255 0.00275 0.01244
10 26.108 45.000 0.2961 0.1868 0.4829 0.3869 0.00241 0.01289
11 28.443 50.000 0.2932 0.1465 0.4397 0.3333 0.00201 0.01369
The shape of the asymptotic radiance distribution for source-free water is given by
u theta Linf(theta)
10 0.00 1.0000E+00
9 10.00 7.1843E-01
8 20.00 3.1531E-01
7 30.00 1.0360E-01
6 40.00 3.1641E-02
5 50.00 1.0558E-02
4 60.00 4.1425E-03
3 70.00 1.9193E-03
2 80.00 1.0273E-03
1 87.50 6.9366E-04
1 92.50 5.5089E-04
2 100.00 4.1601E-04
3 110.00 3.1090E-04
4 120.00 2.5387E-04
5 130.00 2.2324E-04
6 140.00 2.0732E-04
7 150.00 1.9955E-04
8 160.00 1.9613E-04
9 170.00 1.9484E-04
10 180.00 1.9450E-04
Asymptotic source-free water AOP values are
MUu(inf) = 0.4040
MUd(inf) = 0.9171
MU(inf) = 0.9106
R(m,inf) = 0.0022
k(inf) = 0.3214 (1/m)
absorp(check) = 0.2927 = k(inf)*MU(inf)
Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 625.0 nm
iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed
in air 1.2154E-01 1.8136E+00 1.9351E+00 4.4369E-02 1.3185E+00 0.3651 0.7270 0.6584 3.3650E-02
1 0.00 0.00 7.3207E-03 1.4226E+00 1.4299E+00 3.0280E-03 1.2778E+00 0.4136 0.8982 0.8915 2.3697E-03
2 2.24 5.00 2.2419E-03 2.7439E-01 2.7663E-01 9.2015E-04 2.4380E-01 0.4104 0.8885 0.8780 3.7743E-03
3 4.96 10.00 6.9751E-04 5.0096E-02 5.0793E-02 2.9102E-04 4.3885E-02 0.4172 0.8760 0.8583 6.6314E-03
4 8.23 15.00 2.0673E-04 8.5605E-03 8.7672E-03 9.0145E-05 7.3521E-03 0.4360 0.8588 0.8283 1.2261E-02
5 11.90 20.00 7.4345E-05 1.4224E-03 1.4967E-03 3.3518E-05 1.1857E-03 0.4508 0.8337 0.7698 2.8267E-02
6 15.25 25.00 2.9520E-05 2.5446E-04 2.8398E-04 1.4157E-05 2.0554E-04 0.4796 0.8078 0.6740 6.8878E-02
7 18.02 30.00 1.6630E-05 5.9551E-05 7.6182E-05 8.0775E-06 4.4232E-05 0.4857 0.7428 0.4746 1.8262E-01
8 20.88 35.00 9.5663E-06 1.9934E-05 2.9500E-05 4.6534E-06 1.2908E-05 0.4864 0.6476 0.2798 3.6049E-01
9 23.58 40.00 5.6125E-06 9.0704E-06 1.4683E-05 2.7460E-06 5.3170E-06 0.4893 0.5862 0.1751 5.1647E-01
10 26.11 45.00 3.4397E-06 5.0058E-06 8.4455E-06 1.6902E-06 2.7942E-06 0.4914 0.5582 0.1307 6.0488E-01
11 28.44 50.00 2.1877E-06 3.0246E-06 5.2123E-06 1.0811E-06 1.6578E-06 0.4942 0.5481 0.1106 6.5213E-01
LAYER-AVERAGE K-functions (units of 1/meter) at 625.0 nm
zupper zlower zmid Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z)
0.000 5.000 2.500 0.23668 0.32914 0.32854 0.23822 0.33131 0.33160 0.24252
5.000 10.000 7.500 0.23351 0.34012 0.33898 0.23023 0.34295 0.34353 0.22897
10.000 15.000 12.500 0.24322 0.35336 0.35135 0.23439 0.35732 0.35845 0.22329
15.000 20.000 17.500 0.20454 0.35897 0.35355 0.19787 0.36492 0.36819 0.19008
20.000 25.000 22.500 0.18473 0.34419 0.33243 0.17237 0.35049 0.35903 0.15771
25.000 30.000 27.500 0.11477 0.29046 0.26315 0.11223 0.30724 0.33330 0.11025
30.000 35.000 32.500 0.11060 0.21888 0.18974 0.11030 0.24631 0.29539 0.10965
35.000 40.000 37.500 0.10665 0.15748 0.13954 0.10549 0.17739 0.23331 0.10348
40.000 45.000 42.500 0.09792 0.11888 0.11061 0.09707 0.12867 0.16906 0.09533
45.000 50.000 47.500 0.09051 0.10076 0.09652 0.08937 0.10441 0.12989 0.08709
Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 625.0 nm
iz zeta z Lu(z) Ld(z) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed
(m) (1/sr) (sr) (nadir) (1/sr)
in air 7.829E-03 9.612E-02 5.938E-03 5.667E+00 4.297E-04 3.259E-04
1 0.00 0.00 7.967E-04 1.764E-01 6.235E-04 3.801E+00
2 2.24 5.00 2.370E-04 6.585E-02 9.719E-04 3.883E+00
3 4.96 10.00 7.542E-05 2.079E-02 1.719E-03 3.859E+00
4 8.23 15.00 2.469E-05 5.308E-03 3.359E-03 3.650E+00
5 11.90 20.00 9.547E-06 1.103E-03 8.051E-03 3.511E+00
6 15.25 25.00 4.339E-06 2.167E-04 2.111E-02 3.263E+00
7 18.02 30.00 2.500E-06 4.615E-05 5.653E-02 3.231E+00
8 20.88 35.00 1.445E-06 1.076E-05 1.119E-01 3.220E+00
9 23.58 40.00 8.613E-07 3.217E-06 1.620E-01 3.188E+00
10 26.11 45.00 5.348E-07 1.320E-06 1.914E-01 3.160E+00
11 28.44 50.00 3.460E-07 6.930E-07 2.087E-01 3.125E+00
Waveband 23 of 30 completed in 0.4 sec.
* * * * * Output for wavelength band 24 (630.0 to 640.0 nm; nominal wavelength = 635.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
The infinitely deep bottom boundary condition is applied at 93.8 m at 635.0 nm
RADTRANX clear-sky spectral irradiances averaged over the band from 630.0 nm to 640.0 nm:
Ed(diffuse) = 3.354E-01 Ed(direct) = 9.668E-01 Ed(total) = 1.302E+00
Absorption Coefficients of Individual Components at 635.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.3012 0.0093 0.0004 0.3108
2 2.328 5.000 0.3012 0.0149 0.0006 0.3167
3 5.120 10.000 0.3012 0.0228 0.0009 0.3249
4 8.473 15.000 0.3012 0.0273 0.0011 0.3296
5 12.210 20.000 0.3012 0.0364 0.0014 0.3391
6 15.645 25.000 0.3012 0.0204 0.0008 0.3224
7 18.489 30.000 0.3012 0.0190 0.0008 0.3209
8 21.425 35.000 0.3012 0.0199 0.0008 0.3219
9 24.204 40.000 0.3012 0.0164 0.0006 0.3182
10 26.818 45.000 0.3012 0.0137 0.0005 0.3154
11 29.235 50.000 0.3012 0.0106 0.0004 0.3122
Scattering Coefficients of Individual Components at 635.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0010 0.1261 0.0000 0.1271
2 2.328 5.000 0.0010 0.1984 0.0000 0.1994
3 5.120 10.000 0.0010 0.2972 0.0000 0.2983
4 8.473 15.000 0.0010 0.3532 0.0000 0.3542
5 12.210 20.000 0.0010 0.4649 0.0000 0.4659
6 15.645 25.000 0.0010 0.2673 0.0000 0.2683
7 18.489 30.000 0.0010 0.2496 0.0000 0.2506
8 21.425 35.000 0.0010 0.2608 0.0000 0.2618
9 24.204 40.000 0.0010 0.2165 0.0000 0.2175
10 26.818 45.000 0.0010 0.1828 0.0000 0.1838
11 29.235 50.000 0.0010 0.1432 0.0000 0.1442
Backscattering Coefficients of Individual Components at 635.0 nm
(computed from the scattering coefficients and the phase functions)
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.00051 0.00126 0.00000 0.00178
2 2.328 5.000 0.00051 0.00198 0.00000 0.00250
3 5.120 10.000 0.00051 0.00297 0.00000 0.00349
4 8.473 15.000 0.00051 0.00353 0.00000 0.00405
5 12.210 20.000 0.00051 0.00465 0.00000 0.00516
6 15.645 25.000 0.00051 0.00267 0.00000 0.00319
7 18.489 30.000 0.00051 0.00250 0.00000 0.00301
8 21.425 35.000 0.00051 0.00261 0.00000 0.00312
9 24.204 40.000 0.00051 0.00217 0.00000 0.00268
10 26.818 45.000 0.00051 0.00183 0.00000 0.00234
11 29.235 50.000 0.00051 0.00143 0.00000 0.00195
Summary of Inherent Optical Properties at 635.0 nm
iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.3108 0.1271 0.4379 0.2902 0.00178 0.01397
2 2.328 5.000 0.3167 0.1994 0.5161 0.3864 0.00250 0.01253
3 5.120 10.000 0.3249 0.2983 0.6232 0.4786 0.00349 0.01169
4 8.473 15.000 0.3296 0.3542 0.6838 0.5180 0.00405 0.01142
5 12.210 20.000 0.3391 0.4659 0.8050 0.5788 0.00516 0.01108
6 15.645 25.000 0.3224 0.2683 0.5907 0.4542 0.00319 0.01188
7 18.489 30.000 0.3209 0.2506 0.5716 0.4385 0.00301 0.01201
8 21.425 35.000 0.3219 0.2618 0.5837 0.4486 0.00312 0.01193
9 24.204 40.000 0.3182 0.2175 0.5357 0.4061 0.00268 0.01232
10 26.818 45.000 0.3154 0.1838 0.4993 0.3682 0.00234 0.01274
11 29.235 50.000 0.3122 0.1442 0.4564 0.3159 0.00195 0.01350
The shape of the asymptotic radiance distribution for source-free water is given by
u theta Linf(theta)
10 0.00 1.0000E+00
9 10.00 7.0480E-01
8 20.00 2.9691E-01
7 30.00 9.3513E-02
6 40.00 2.7711E-02
5 50.00 9.1127E-03
4 60.00 3.5612E-03
3 70.00 1.6500E-03
2 80.00 8.8354E-04
1 87.50 5.9669E-04
1 92.50 4.7407E-04
2 100.00 3.5792E-04
3 110.00 2.6738E-04
4 120.00 2.1832E-04
5 130.00 1.9203E-04
6 140.00 1.7841E-04
7 150.00 1.7181E-04
8 160.00 1.6894E-04
9 170.00 1.6788E-04
10 180.00 1.6761E-04
Asymptotic source-free water AOP values are
MUu(inf) = 0.4041
MUd(inf) = 0.9209
MU(inf) = 0.9149
R(m,inf) = 0.0020
k(inf) = 0.3406 (1/m)
absorp(check) = 0.3116 = k(inf)*MU(inf)
Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 635.0 nm
iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed
in air 1.1921E-01 1.7891E+00 1.9083E+00 4.3599E-02 1.3023E+00 0.3657 0.7279 0.6596 3.3480E-02
1 0.00 0.00 6.5686E-03 1.4044E+00 1.4109E+00 2.7063E-03 1.2620E+00 0.4120 0.8986 0.8925 2.1445E-03
2 2.33 5.00 1.8315E-03 2.4367E-01 2.4550E-01 7.5233E-04 2.1689E-01 0.4108 0.8901 0.8804 3.4687E-03
3 5.12 10.00 5.3422E-04 3.9919E-02 4.0453E-02 2.2518E-04 3.5068E-02 0.4215 0.8785 0.8613 6.4211E-03
4 8.47 15.00 1.5924E-04 6.1105E-03 6.2697E-03 7.0871E-05 5.2619E-03 0.4451 0.8611 0.8279 1.3469E-02
5 12.21 20.00 6.0696E-05 9.2041E-04 9.8110E-04 2.8027E-05 7.6523E-04 0.4618 0.8314 0.7514 3.6626E-02
6 15.64 25.00 2.6248E-05 1.5752E-04 1.8377E-04 1.2722E-05 1.2427E-04 0.4847 0.7889 0.6070 1.0237E-01
7 18.49 30.00 1.5114E-05 3.9380E-05 5.4494E-05 7.3845E-06 2.7524E-05 0.4886 0.6989 0.3696 2.6829E-01
8 21.42 35.00 8.7936E-06 1.5166E-05 2.3959E-05 4.2996E-06 9.1952E-06 0.4889 0.6063 0.2043 4.6759E-01
9 24.20 40.00 5.2020E-06 7.6679E-06 1.2870E-05 2.5553E-06 4.3240E-06 0.4912 0.5639 0.1374 5.9096E-01
10 26.82 45.00 3.1978E-06 4.4434E-06 7.6412E-06 1.5767E-06 2.4375E-06 0.4931 0.5486 0.1126 6.4687E-01
11 29.24 50.00 2.0338E-06 2.7370E-06 4.7708E-06 1.0078E-06 1.4881E-06 0.4955 0.5437 0.1007 6.7723E-01
LAYER-AVERAGE K-functions (units of 1/meter) at 635.0 nm
zupper zlower zmid Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z)
0.000 5.000 2.500 0.25543 0.35031 0.34974 0.25603 0.35221 0.35247 0.25882
5.000 10.000 7.500 0.24642 0.36179 0.36063 0.24126 0.36442 0.36502 0.23713
10.000 15.000 12.500 0.24208 0.37537 0.37288 0.23120 0.37936 0.38079 0.21796
15.000 20.000 17.500 0.19291 0.37859 0.37096 0.18554 0.38561 0.39036 0.17754
20.000 25.000 22.500 0.16766 0.35305 0.33500 0.15797 0.36354 0.37768 0.14642
25.000 30.000 27.500 0.11039 0.27726 0.24312 0.10879 0.30148 0.34236 0.10757
30.000 35.000 32.500 0.10832 0.19085 0.16435 0.10817 0.21927 0.28287 0.10770
35.000 40.000 37.500 0.10500 0.13640 0.12429 0.10407 0.15090 0.20362 0.10235
40.000 45.000 42.500 0.09732 0.10912 0.10427 0.09656 0.11464 0.14404 0.09500
45.000 50.000 47.500 0.09051 0.09692 0.09421 0.08953 0.09870 0.11667 0.08751
Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 635.0 nm
iz zeta z Lu(z) Ld(z) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed
(m) (1/sr) (sr) (nadir) (1/sr)
in air 7.686E-03 9.423E-02 5.902E-03 5.672E+00 3.826E-04 2.938E-04
1 0.00 0.00 7.092E-04 1.729E-01 5.620E-04 3.816E+00
2 2.33 5.00 1.944E-04 5.846E-02 8.964E-04 3.869E+00
3 5.12 10.00 5.941E-05 1.666E-02 1.694E-03 3.790E+00
4 8.47 15.00 1.998E-05 3.832E-03 3.797E-03 3.548E+00
5 12.21 20.00 8.223E-06 7.182E-04 1.075E-02 3.408E+00
6 15.64 25.00 3.954E-06 1.290E-04 3.182E-02 3.217E+00
7 18.49 30.00 2.309E-06 2.615E-05 8.390E-02 3.198E+00
8 21.42 35.00 1.348E-06 6.331E-06 1.466E-01 3.190E+00
9 24.20 40.00 8.079E-07 2.177E-06 1.868E-01 3.163E+00
10 26.82 45.00 5.024E-07 1.035E-06 2.061E-01 3.138E+00
11 29.24 50.00 3.244E-07 5.924E-07 2.180E-01 3.107E+00
Waveband 24 of 30 completed in 0.4 sec.
* * * * * Output for wavelength band 25 (640.0 to 650.0 nm; nominal wavelength = 645.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
The infinitely deep bottom boundary condition is applied at 91.9 m at 645.0 nm
RADTRANX clear-sky spectral irradiances averaged over the band from 640.0 nm to 650.0 nm:
Ed(diffuse) = 3.226E-01 Ed(direct) = 9.388E-01 Ed(total) = 1.261E+00
Absorption Coefficients of Individual Components at 645.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.3250 0.0090 0.0003 0.3343
2 2.432 5.000 0.3250 0.0145 0.0005 0.3400
3 5.322 10.000 0.3250 0.0221 0.0008 0.3479
4 8.763 15.000 0.3250 0.0265 0.0009 0.3524
5 12.580 20.000 0.3250 0.0353 0.0013 0.3616
6 16.101 25.000 0.3250 0.0198 0.0007 0.3455
7 19.042 30.000 0.3250 0.0184 0.0007 0.3441
8 22.072 35.000 0.3250 0.0193 0.0007 0.3450
9 24.949 40.000 0.3250 0.0159 0.0006 0.3414
10 27.663 45.000 0.3250 0.0133 0.0005 0.3387
11 30.183 50.000 0.3250 0.0103 0.0004 0.3356
Scattering Coefficients of Individual Components at 645.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0010 0.1241 0.0000 0.1251
2 2.432 5.000 0.0010 0.1953 0.0000 0.1963
3 5.322 10.000 0.0010 0.2926 0.0000 0.2936
4 8.763 15.000 0.0010 0.3477 0.0000 0.3487
5 12.580 20.000 0.0010 0.4577 0.0000 0.4586
6 16.101 25.000 0.0010 0.2631 0.0000 0.2641
7 19.042 30.000 0.0010 0.2457 0.0000 0.2467
8 22.072 35.000 0.0010 0.2568 0.0000 0.2577
9 24.949 40.000 0.0010 0.2132 0.0000 0.2141
10 27.663 45.000 0.0010 0.1800 0.0000 0.1809
11 30.183 50.000 0.0010 0.1409 0.0000 0.1419
Backscattering Coefficients of Individual Components at 645.0 nm
(computed from the scattering coefficients and the phase functions)
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.00048 0.00124 0.00000 0.00172
2 2.432 5.000 0.00048 0.00195 0.00000 0.00243
3 5.322 10.000 0.00048 0.00293 0.00000 0.00341
4 8.763 15.000 0.00048 0.00348 0.00000 0.00396
5 12.580 20.000 0.00048 0.00458 0.00000 0.00506
6 16.101 25.000 0.00048 0.00263 0.00000 0.00311
7 19.042 30.000 0.00048 0.00246 0.00000 0.00294
8 22.072 35.000 0.00048 0.00257 0.00000 0.00305
9 24.949 40.000 0.00048 0.00213 0.00000 0.00261
10 27.663 45.000 0.00048 0.00180 0.00000 0.00228
11 30.183 50.000 0.00048 0.00141 0.00000 0.00189
Summary of Inherent Optical Properties at 645.0 nm
iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.3343 0.1251 0.4594 0.2723 0.00172 0.01377
2 2.432 5.000 0.3400 0.1963 0.5362 0.3660 0.00243 0.01240
3 5.322 10.000 0.3479 0.2936 0.6415 0.4577 0.00341 0.01161
4 8.763 15.000 0.3524 0.3487 0.7011 0.4973 0.00396 0.01135
5 12.580 20.000 0.3616 0.4586 0.8202 0.5592 0.00506 0.01103
6 16.101 25.000 0.3455 0.2641 0.6095 0.4332 0.00311 0.01179
7 19.042 30.000 0.3441 0.2467 0.5908 0.4176 0.00294 0.01191
8 22.072 35.000 0.3450 0.2577 0.6027 0.4276 0.00305 0.01183
9 24.949 40.000 0.3414 0.2141 0.5555 0.3854 0.00261 0.01220
10 27.663 45.000 0.3387 0.1809 0.5197 0.3481 0.00228 0.01261
11 30.183 50.000 0.3356 0.1419 0.4775 0.2971 0.00189 0.01332
The shape of the asymptotic radiance distribution for source-free water is given by
u theta Linf(theta)
10 0.00 1.0000E+00
9 10.00 6.8878E-01
8 20.00 2.7658E-01
7 30.00 8.3023E-02
6 40.00 2.3807E-02
5 50.00 7.7153E-03
4 60.00 3.0054E-03
3 70.00 1.3934E-03
2 80.00 7.4687E-04
1 87.50 5.0460E-04
1 92.50 4.0113E-04
2 100.00 3.0284E-04
3 110.00 2.2621E-04
4 120.00 1.8473E-04
5 130.00 1.6256E-04
6 140.00 1.5113E-04
7 150.00 1.4564E-04
8 160.00 1.4328E-04
9 170.00 1.4243E-04
10 180.00 1.4222E-04
Asymptotic source-free water AOP values are
MUu(inf) = 0.4043
MUd(inf) = 0.9249
MU(inf) = 0.9194
R(m,inf) = 0.0018
k(inf) = 0.3644 (1/m)
absorp(check) = 0.3351 = k(inf)*MU(inf)
Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 645.0 nm
iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed
in air 1.1472E-01 1.7311E+00 1.8459E+00 4.2031E-02 1.2614E+00 0.3664 0.7287 0.6606 3.3319E-02
1 0.00 0.00 5.7388E-03 1.3597E+00 1.3655E+00 2.3565E-03 1.2224E+00 0.4106 0.8990 0.8935 1.9278E-03
2 2.43 5.00 1.4414E-03 2.0725E-01 2.0870E-01 5.9436E-04 1.8483E-01 0.4123 0.8918 0.8828 3.2156E-03
3 5.32 10.00 4.0208E-04 2.9949E-02 3.0351E-02 1.7242E-04 2.6379E-02 0.4288 0.8808 0.8635 6.5361E-03
4 8.76 15.00 1.2652E-04 4.0786E-03 4.2051E-03 5.7747E-05 3.5160E-03 0.4564 0.8621 0.8224 1.6424E-02
5 12.58 20.00 5.2597E-05 5.6393E-04 6.1653E-04 2.4778E-05 4.6385E-04 0.4711 0.8225 0.7122 5.3418E-02
6 16.10 25.00 2.4227E-05 9.6718E-05 1.2095E-04 1.1831E-05 7.2949E-05 0.4883 0.7542 0.5053 1.6219E-01
7 19.04 30.00 1.4199E-05 2.7762E-05 4.1960E-05 6.9692E-06 1.7909E-05 0.4908 0.6451 0.2607 3.8914E-01
8 22.07 35.00 8.3369E-06 1.2558E-05 2.0895E-05 4.0911E-06 7.1909E-06 0.4907 0.5726 0.1484 5.6892E-01
9 24.95 40.00 4.9507E-06 6.8687E-06 1.1819E-05 2.4395E-06 3.7758E-06 0.4928 0.5497 0.1131 6.4608E-01
10 27.66 45.00 3.0460E-06 4.0950E-06 7.1410E-06 1.5061E-06 2.2220E-06 0.4945 0.5426 0.1003 6.7780E-01
11 30.18 50.00 1.9340E-06 2.5435E-06 4.4775E-06 9.6069E-07 1.3750E-06 0.4967 0.5406 0.0925 6.9869E-01
LAYER-AVERAGE K-functions (units of 1/meter) at 645.0 nm
zupper zlower zmid Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z)
0.000 5.000 2.500 0.27632 0.37622 0.37568 0.27549 0.37782 0.37808 0.27610
5.000 10.000 7.500 0.25535 0.38689 0.38561 0.24751 0.38938 0.39004 0.23978
10.000 15.000 12.500 0.23124 0.39875 0.39530 0.21877 0.40305 0.40505 0.20442
15.000 20.000 17.500 0.17556 0.39572 0.38399 0.16922 0.40510 0.41277 0.16298
20.000 25.000 22.500 0.15503 0.35263 0.32575 0.14784 0.36996 0.39437 0.13883
25.000 30.000 27.500 0.10687 0.24963 0.21172 0.10585 0.28089 0.34407 0.10513
30.000 35.000 32.500 0.10649 0.15866 0.13945 0.10654 0.18250 0.25222 0.10630
35.000 40.000 37.500 0.10423 0.12067 0.11395 0.10340 0.12884 0.16828 0.10181
40.000 45.000 42.500 0.09714 0.10344 0.10078 0.09646 0.10604 0.12482 0.09499
45.000 50.000 47.500 0.09084 0.09524 0.09336 0.08992 0.09600 0.10940 0.08799
Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 645.0 nm
iz zeta z Lu(z) Ld(z) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed
(m) (1/sr) (sr) (nadir) (1/sr)
in air 7.403E-03 9.065E-02 5.869E-03 5.677E+00 3.321E-04 2.633E-04
1 0.00 0.00 6.157E-04 1.664E-01 5.037E-04 3.828E+00
2 2.43 5.00 1.548E-04 4.981E-02 8.376E-04 3.839E+00
3 5.32 10.00 4.668E-05 1.260E-02 1.770E-03 3.693E+00
4 8.76 15.00 1.680E-05 2.585E-03 4.778E-03 3.438E+00
5 12.58 20.00 7.436E-06 4.358E-04 1.603E-02 3.332E+00
6 16.10 25.00 3.714E-06 7.210E-05 5.092E-02 3.185E+00
7 19.04 30.00 2.196E-06 1.440E-05 1.226E-01 3.174E+00
8 22.07 35.00 1.291E-06 3.955E-06 1.795E-01 3.170E+00
9 24.95 40.00 7.757E-07 1.644E-06 2.054E-01 3.145E+00
10 27.66 45.00 4.824E-07 8.841E-07 2.171E-01 3.122E+00
11 30.18 50.00 3.107E-07 5.322E-07 2.260E-01 3.092E+00
Waveband 25 of 30 completed in 0.5 sec.
* * * * * Output for wavelength band 26 (650.0 to 660.0 nm; nominal wavelength = 655.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
The infinitely deep bottom boundary condition is applied at 88.2 m at 655.0 nm
RADTRANX clear-sky spectral irradiances averaged over the band from 650.0 nm to 660.0 nm:
Ed(diffuse) = 3.062E-01 Ed(direct) = 8.991E-01 Ed(total) = 1.205E+00
Absorption Coefficients of Individual Components at 655.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.3710 0.0107 0.0003 0.3820
2 2.661 5.000 0.3710 0.0172 0.0004 0.3886
3 5.778 10.000 0.3710 0.0263 0.0007 0.3979
4 9.446 15.000 0.3710 0.0315 0.0008 0.4033
5 13.491 20.000 0.3710 0.0420 0.0011 0.4140
6 17.240 25.000 0.3710 0.0235 0.0006 0.3951
7 20.407 30.000 0.3710 0.0219 0.0006 0.3934
8 23.666 35.000 0.3710 0.0229 0.0006 0.3945
9 26.770 40.000 0.3710 0.0188 0.0005 0.3903
10 29.712 45.000 0.3710 0.0158 0.0004 0.3872
11 32.461 50.000 0.3710 0.0122 0.0003 0.3835
Scattering Coefficients of Individual Components at 655.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0009 0.1222 0.0000 0.1231
2 2.661 5.000 0.0009 0.1923 0.0000 0.1932
3 5.778 10.000 0.0009 0.2882 0.0000 0.2891
4 9.446 15.000 0.0009 0.3424 0.0000 0.3433
5 13.491 20.000 0.0009 0.4507 0.0000 0.4516
6 17.240 25.000 0.0009 0.2591 0.0000 0.2600
7 20.407 30.000 0.0009 0.2420 0.0000 0.2429
8 23.666 35.000 0.0009 0.2528 0.0000 0.2537
9 26.770 40.000 0.0009 0.2099 0.0000 0.2108
10 29.712 45.000 0.0009 0.1772 0.0000 0.1781
11 32.461 50.000 0.0009 0.1388 0.0000 0.1397
Backscattering Coefficients of Individual Components at 655.0 nm
(computed from the scattering coefficients and the phase functions)
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.00045 0.00122 0.00000 0.00167
2 2.661 5.000 0.00045 0.00192 0.00000 0.00237
3 5.778 10.000 0.00045 0.00288 0.00000 0.00333
4 9.446 15.000 0.00045 0.00342 0.00000 0.00387
5 13.491 20.000 0.00045 0.00451 0.00000 0.00496
6 17.240 25.000 0.00045 0.00259 0.00000 0.00304
7 20.407 30.000 0.00045 0.00242 0.00000 0.00287
8 23.666 35.000 0.00045 0.00253 0.00000 0.00298
9 26.770 40.000 0.00045 0.00210 0.00000 0.00255
10 29.712 45.000 0.00045 0.00177 0.00000 0.00222
11 32.461 50.000 0.00045 0.00139 0.00000 0.00184
Summary of Inherent Optical Properties at 655.0 nm
iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.3820 0.1231 0.5051 0.2438 0.00167 0.01358
2 2.661 5.000 0.3886 0.1932 0.5819 0.3321 0.00237 0.01228
3 5.778 10.000 0.3979 0.2891 0.6870 0.4208 0.00333 0.01153
4 9.446 15.000 0.4033 0.3433 0.7466 0.4599 0.00387 0.01128
5 13.491 20.000 0.4140 0.4516 0.8656 0.5217 0.00496 0.01098
6 17.240 25.000 0.3951 0.2600 0.6551 0.3969 0.00304 0.01170
7 20.407 30.000 0.3934 0.2429 0.6363 0.3817 0.00287 0.01182
8 23.666 35.000 0.3945 0.2537 0.6482 0.3914 0.00298 0.01174
9 26.770 40.000 0.3903 0.2108 0.6011 0.3507 0.00255 0.01209
10 29.712 45.000 0.3872 0.1781 0.5653 0.3151 0.00222 0.01248
11 32.461 50.000 0.3835 0.1397 0.5232 0.2670 0.00184 0.01316
The shape of the asymptotic radiance distribution for source-free water is given by
u theta Linf(theta)
10 0.00 1.0000E+00
9 10.00 6.5994E-01
8 20.00 2.4324E-01
7 30.00 6.7261E-02
6 40.00 1.8304E-02
5 50.00 5.8126E-03
4 60.00 2.2590E-03
3 70.00 1.0505E-03
2 80.00 5.6475E-04
1 87.50 3.8220E-04
1 92.50 3.0429E-04
2 100.00 2.2995E-04
3 110.00 1.7195E-04
4 120.00 1.4064E-04
5 130.00 1.2398E-04
6 140.00 1.1547E-04
7 150.00 1.1145E-04
8 160.00 1.0978E-04
9 170.00 1.0921E-04
10 180.00 1.0908E-04
Asymptotic source-free water AOP values are
MUu(inf) = 0.4051
MUd(inf) = 0.9312
MU(inf) = 0.9265
R(m,inf) = 0.0015
k(inf) = 0.4132 (1/m)
absorp(check) = 0.3829 = k(inf)*MU(inf)
Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 655.0 nm
iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed
in air 1.0888E-01 1.6524E+00 1.7613E+00 3.9953E-02 1.2053E+00 0.3669 0.7294 0.6617 3.3146E-02
1 0.00 0.00 4.7478E-03 1.2986E+00 1.3033E+00 1.9496E-03 1.1679E+00 0.4106 0.8994 0.8946 1.6693E-03
2 2.66 5.00 1.0432E-03 1.5180E-01 1.5284E-01 4.4260E-04 1.3575E-01 0.4243 0.8943 0.8853 3.2604E-03
3 5.78 10.00 3.3972E-04 1.6890E-02 1.7230E-02 1.5512E-04 1.4896E-02 0.4566 0.8820 0.8556 1.0413E-02
4 9.45 15.00 1.4514E-04 1.8504E-03 1.9956E-03 6.9278E-05 1.5648E-03 0.4773 0.8456 0.7494 4.4273E-02
5 13.49 20.00 7.2489E-05 2.6124E-04 3.3373E-04 3.4353E-05 1.9222E-04 0.4739 0.7358 0.4730 1.7872E-01
6 17.24 25.00 3.0739E-05 6.0891E-05 9.1631E-05 1.4972E-05 3.8318E-05 0.4871 0.6293 0.2548 3.9072E-01
7 20.41 30.00 1.8234E-05 2.5327E-05 4.3560E-05 8.9418E-06 1.4142E-05 0.4904 0.5584 0.1194 6.3228E-01
8 23.67 35.00 1.0673E-05 1.4371E-05 2.5044E-05 5.2009E-06 7.7233E-06 0.4873 0.5374 0.1007 6.7340E-01
9 26.77 40.00 6.0630E-06 8.0439E-06 1.4107E-05 2.9722E-06 4.3143E-06 0.4902 0.5363 0.0951 6.8892E-01
10 29.71 45.00 3.5865E-06 4.7339E-06 8.3204E-06 1.7639E-06 2.5340E-06 0.4918 0.5353 0.0926 6.9609E-01
11 32.46 50.00 2.1643E-06 2.8144E-06 4.9787E-06 1.0713E-06 1.5091E-06 0.4950 0.5362 0.0879 7.0989E-01
LAYER-AVERAGE K-functions (units of 1/meter) at 655.0 nm
zupper zlower zmid Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z)
0.000 5.000 2.500 0.30308 0.42929 0.42865 0.29654 0.43043 0.43075 0.28985
5.000 10.000 7.500 0.22439 0.43917 0.43656 0.20970 0.44194 0.44338 0.19634
10.000 15.000 12.500 0.17008 0.44226 0.43114 0.16121 0.45067 0.45764 0.15306
15.000 20.000 17.500 0.13886 0.39155 0.35767 0.14028 0.41937 0.44969 0.14383
20.000 25.000 22.500 0.17158 0.29127 0.25851 0.16611 0.32254 0.38226 0.15716
25.000 30.000 27.500 0.10446 0.17545 0.14872 0.10309 0.19935 0.30035 0.10213
30.000 35.000 32.500 0.10711 0.11333 0.11070 0.10838 0.12098 0.14470 0.10977
35.000 40.000 37.500 0.11310 0.11606 0.11479 0.11191 0.11646 0.12620 0.10965
40.000 45.000 42.500 0.10500 0.10603 0.10559 0.10435 0.10642 0.11109 0.10291
45.000 50.000 47.500 0.10102 0.10400 0.10271 0.09974 0.10366 0.11296 0.09662
Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 655.0 nm
iz zeta z Lu(z) Ld(z) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed
(m) (1/sr) (sr) (nadir) (1/sr)
in air 7.028E-03 8.603E-02 5.831E-03 5.685E+00 2.752E-04 2.283E-04
1 0.00 0.00 5.102E-04 1.579E-01 4.369E-04 3.821E+00
2 2.66 5.00 1.198E-04 3.695E-02 8.823E-04 3.695E+00
3 5.78 10.00 4.487E-05 7.266E-03 3.012E-03 3.457E+00
4 9.45 15.00 2.088E-05 1.164E-03 1.334E-02 3.319E+00
5 13.49 20.00 1.017E-05 1.623E-04 5.291E-02 3.378E+00
6 17.24 25.00 4.635E-06 2.650E-05 1.210E-01 3.230E+00
7 20.41 30.00 2.781E-06 6.934E-06 1.967E-01 3.215E+00
8 23.67 35.00 1.607E-06 3.058E-06 2.080E-01 3.237E+00
9 26.77 40.00 9.286E-07 1.638E-06 2.152E-01 3.201E+00
10 29.71 45.00 5.551E-07 9.485E-07 2.190E-01 3.178E+00
11 32.46 50.00 3.424E-07 5.659E-07 2.269E-01 3.129E+00
Waveband 26 of 30 completed in 0.5 sec.
* * * * * Output for wavelength band 27 (660.0 to 670.0 nm; nominal wavelength = 665.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
The infinitely deep bottom boundary condition is applied at 84.3 m at 665.0 nm
RADTRANX clear-sky spectral irradiances averaged over the band from 660.0 nm to 670.0 nm:
Ed(diffuse) = 3.168E-01 Ed(direct) = 9.381E-01 Ed(total) = 1.255E+00
Absorption Coefficients of Individual Components at 665.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.4290 0.0149 0.0002 0.4441
2 2.965 5.000 0.4290 0.0240 0.0004 0.4534
3 6.395 10.000 0.4290 0.0366 0.0006 0.4662
4 10.387 15.000 0.4290 0.0439 0.0007 0.4736
5 14.764 20.000 0.4290 0.0585 0.0009 0.4885
6 18.839 25.000 0.4290 0.0328 0.0005 0.4623
7 22.321 30.000 0.4290 0.0305 0.0005 0.4600
8 25.895 35.000 0.4290 0.0319 0.0005 0.4614
9 29.312 40.000 0.4290 0.0263 0.0004 0.4557
10 32.564 45.000 0.4290 0.0220 0.0004 0.4513
11 35.618 50.000 0.4290 0.0170 0.0003 0.4463
Scattering Coefficients of Individual Components at 665.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0008 0.1204 0.0000 0.1212
2 2.965 5.000 0.0008 0.1894 0.0000 0.1903
3 6.395 10.000 0.0008 0.2838 0.0000 0.2847
4 10.387 15.000 0.0008 0.3373 0.0000 0.3381
5 14.764 20.000 0.0008 0.4439 0.0000 0.4448
6 18.839 25.000 0.0008 0.2552 0.0000 0.2560
7 22.321 30.000 0.0008 0.2383 0.0000 0.2392
8 25.895 35.000 0.0008 0.2490 0.0000 0.2499
9 29.312 40.000 0.0008 0.2067 0.0000 0.2076
10 32.564 45.000 0.0008 0.1745 0.0000 0.1754
11 35.618 50.000 0.0008 0.1367 0.0000 0.1375
Backscattering Coefficients of Individual Components at 665.0 nm
(computed from the scattering coefficients and the phase functions)
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.00042 0.00120 0.00000 0.00163
2 2.965 5.000 0.00042 0.00189 0.00000 0.00232
3 6.395 10.000 0.00042 0.00284 0.00000 0.00326
4 10.387 15.000 0.00042 0.00337 0.00000 0.00379
5 14.764 20.000 0.00042 0.00444 0.00000 0.00486
6 18.839 25.000 0.00042 0.00255 0.00000 0.00297
7 22.321 30.000 0.00042 0.00238 0.00000 0.00281
8 25.895 35.000 0.00042 0.00249 0.00000 0.00291
9 29.312 40.000 0.00042 0.00207 0.00000 0.00249
10 32.564 45.000 0.00042 0.00175 0.00000 0.00217
11 35.618 50.000 0.00042 0.00137 0.00000 0.00179
Summary of Inherent Optical Properties at 665.0 nm
iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.4441 0.1212 0.5654 0.2144 0.00163 0.01341
2 2.965 5.000 0.4534 0.1903 0.6436 0.2956 0.00232 0.01217
3 6.395 10.000 0.4662 0.2847 0.7509 0.3791 0.00326 0.01145
4 10.387 15.000 0.4736 0.3381 0.8117 0.4166 0.00379 0.01122
5 14.764 20.000 0.4885 0.4448 0.9332 0.4766 0.00486 0.01093
6 18.839 25.000 0.4623 0.2560 0.7183 0.3564 0.00297 0.01161
7 22.321 30.000 0.4600 0.2392 0.6992 0.3421 0.00281 0.01173
8 25.895 35.000 0.4614 0.2499 0.7113 0.3513 0.00291 0.01165
9 29.312 40.000 0.4557 0.2076 0.6633 0.3130 0.00249 0.01199
10 32.564 45.000 0.4513 0.1754 0.6267 0.2798 0.00217 0.01236
11 35.618 50.000 0.4463 0.1375 0.5838 0.2356 0.00179 0.01300
The shape of the asymptotic radiance distribution for source-free water is given by
u theta Linf(theta)
10 0.00 1.0000E+00
9 10.00 6.2477E-01
8 20.00 2.0773E-01
7 30.00 5.2355E-02
6 40.00 1.3503E-02
5 50.00 4.2159E-03
4 60.00 1.6394E-03
3 70.00 7.6580E-04
2 80.00 4.1319E-04
1 87.50 2.8017E-04
1 92.50 2.2343E-04
2 100.00 1.6904E-04
3 110.00 1.2657E-04
4 120.00 1.0370E-04
5 130.00 9.1595E-05
6 140.00 8.5473E-05
7 150.00 8.2636E-05
8 160.00 8.1499E-05
9 170.00 8.1140E-05
10 180.00 8.1065E-05
Asymptotic source-free water AOP values are
MUu(inf) = 0.4061
MUd(inf) = 0.9376
MU(inf) = 0.9338
R(m,inf) = 0.0012
k(inf) = 0.4770 (1/m)
absorp(check) = 0.4454 = k(inf)*MU(inf)
Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 665.0 nm
iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed
in air 1.1287E-01 1.7186E+00 1.8315E+00 4.1519E-02 1.2549E+00 0.3678 0.7302 0.6625 3.3087E-02
1 0.00 0.00 4.7335E-03 1.3516E+00 1.3563E+00 1.9883E-03 1.2159E+00 0.4200 0.8996 0.8950 1.6352E-03
2 2.96 5.00 1.3634E-03 1.1212E-01 1.1348E-01 6.3070E-04 1.0033E-01 0.4626 0.8949 0.8786 6.2863E-03
3 6.40 10.00 8.4427E-04 9.3524E-03 1.0197E-02 4.0931E-04 8.0203E-03 0.4848 0.8576 0.7464 5.1034E-02
4 10.39 15.00 4.8344E-04 1.1897E-03 1.6731E-03 2.3422E-04 8.3268E-04 0.4845 0.6999 0.3577 2.8128E-01
5 14.76 20.00 2.6356E-04 4.1411E-04 6.7767E-04 1.2369E-04 2.2853E-04 0.4693 0.5518 0.1547 5.4127E-01
6 18.84 25.00 9.3535E-05 1.4633E-04 2.3987E-04 4.5072E-05 8.0599E-05 0.4819 0.5508 0.1481 5.5922E-01
7 22.32 30.00 5.5486E-05 6.8489E-05 1.2397E-04 2.7083E-05 3.6124E-05 0.4881 0.5274 0.0729 7.4973E-01
8 25.89 35.00 3.2327E-05 4.1924E-05 7.4251E-05 1.5565E-05 2.1954E-05 0.4815 0.5237 0.0860 7.0898E-01
9 29.31 40.00 1.7157E-05 2.2231E-05 3.9388E-05 8.3196E-06 1.1725E-05 0.4849 0.5274 0.0865 7.0956E-01
10 32.56 45.00 9.5459E-06 1.2532E-05 2.2078E-05 4.6379E-06 6.6118E-06 0.4858 0.5276 0.0894 7.0145E-01
11 35.62 50.00 5.2659E-06 6.8602E-06 1.2126E-05 2.5760E-06 3.6376E-06 0.4892 0.5302 0.0875 7.0815E-01
LAYER-AVERAGE K-functions (units of 1/meter) at 665.0 nm
zupper zlower zmid Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z)
0.000 5.000 2.500 0.24894 0.49790 0.49618 0.22964 0.49896 0.49990 0.21098
5.000 10.000 7.500 0.09585 0.49678 0.48191 0.08647 0.50530 0.51451 0.08216
10.000 15.000 12.500 0.11151 0.41239 0.36148 0.11165 0.45302 0.50860 0.11196
15.000 20.000 17.500 0.12133 0.21106 0.18076 0.12769 0.25860 0.34840 0.13780
20.000 25.000 22.500 0.20719 0.20805 0.20771 0.20191 0.20843 0.21642 0.19286
25.000 30.000 27.500 0.10444 0.15184 0.13200 0.10187 0.16051 0.27371 0.09944
30.000 35.000 32.500 0.10804 0.09816 0.10252 0.11078 0.09960 0.06943 0.11472
35.000 40.000 37.500 0.12670 0.12687 0.12680 0.12528 0.12544 0.12585 0.12272
40.000 45.000 42.500 0.11726 0.11464 0.11577 0.11687 0.11457 0.10906 0.11625
45.000 50.000 47.500 0.11897 0.12051 0.11985 0.11761 0.11951 0.12405 0.11359
Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 665.0 nm
iz zeta z Lu(z) Ld(z) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed
(m) (1/sr) (sr) (nadir) (1/sr)
in air 7.315E-03 8.899E-02 5.830E-03 5.676E+00 2.888E-04 2.301E-04
1 0.00 0.00 5.353E-04 1.633E-01 4.403E-04 3.714E+00
2 2.96 5.00 1.864E-04 2.775E-02 1.858E-03 3.383E+00
3 6.40 10.00 1.236E-04 3.973E-03 1.541E-02 3.311E+00
4 10.39 15.00 7.062E-05 5.251E-04 8.482E-02 3.316E+00
5 14.76 20.00 3.546E-05 1.032E-04 1.552E-01 3.488E+00
6 18.84 25.00 1.352E-05 3.255E-05 1.677E-01 3.334E+00
7 22.32 30.00 8.223E-06 1.339E-05 2.276E-01 3.294E+00
8 25.89 35.00 4.633E-06 7.753E-06 2.111E-01 3.359E+00
9 29.31 40.00 2.508E-06 4.207E-06 2.139E-01 3.317E+00
10 32.56 45.00 1.403E-06 2.362E-06 2.122E-01 3.306E+00
11 35.62 50.00 7.949E-07 1.314E-06 2.185E-01 3.241E+00
Waveband 27 of 30 completed in 0.6 sec.
* * * * * Output for wavelength band 28 (670.0 to 680.0 nm; nominal wavelength = 675.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
The infinitely deep bottom boundary condition is applied at 83.3 m at 675.0 nm
RADTRANX clear-sky spectral irradiances averaged over the band from 670.0 nm to 680.0 nm:
Ed(diffuse) = 3.090E-01 Ed(direct) = 9.226E-01 Ed(total) = 1.232E+00
Absorption Coefficients of Individual Components at 675.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.4480 0.0152 0.0002 0.4634
2 3.050 5.000 0.4480 0.0244 0.0003 0.4728
3 6.561 10.000 0.4480 0.0373 0.0005 0.4858
4 10.627 15.000 0.4480 0.0447 0.0006 0.4933
5 15.074 20.000 0.4480 0.0596 0.0008 0.5084
6 19.222 25.000 0.4480 0.0334 0.0005 0.4818
7 22.784 30.000 0.4480 0.0311 0.0004 0.4795
8 26.436 35.000 0.4480 0.0325 0.0004 0.4810
9 29.934 40.000 0.4480 0.0268 0.0004 0.4751
10 33.268 45.000 0.4480 0.0224 0.0003 0.4707
11 36.407 50.000 0.4480 0.0173 0.0002 0.4656
Scattering Coefficients of Individual Components at 675.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0008 0.1186 0.0000 0.1194
2 3.050 5.000 0.0008 0.1866 0.0000 0.1874
3 6.561 10.000 0.0008 0.2796 0.0000 0.2804
4 10.627 15.000 0.0008 0.3323 0.0000 0.3331
5 15.074 20.000 0.0008 0.4373 0.0000 0.4381
6 19.222 25.000 0.0008 0.2514 0.0000 0.2522
7 22.784 30.000 0.0008 0.2348 0.0000 0.2356
8 26.436 35.000 0.0008 0.2453 0.0000 0.2461
9 29.934 40.000 0.0008 0.2037 0.0000 0.2045
10 33.268 45.000 0.0008 0.1720 0.0000 0.1727
11 36.407 50.000 0.0008 0.1347 0.0000 0.1355
Backscattering Coefficients of Individual Components at 675.0 nm
(computed from the scattering coefficients and the phase functions)
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.00040 0.00119 0.00000 0.00158
2 3.050 5.000 0.00040 0.00187 0.00000 0.00226
3 6.561 10.000 0.00040 0.00280 0.00000 0.00319
4 10.627 15.000 0.00040 0.00332 0.00000 0.00372
5 15.074 20.000 0.00040 0.00437 0.00000 0.00477
6 19.222 25.000 0.00040 0.00251 0.00000 0.00291
7 22.784 30.000 0.00040 0.00235 0.00000 0.00274
8 26.436 35.000 0.00040 0.00245 0.00000 0.00285
9 29.934 40.000 0.00040 0.00204 0.00000 0.00243
10 33.268 45.000 0.00040 0.00172 0.00000 0.00211
11 36.407 50.000 0.00040 0.00135 0.00000 0.00174
Summary of Inherent Optical Properties at 675.0 nm
iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.4634 0.1194 0.5828 0.2049 0.00158 0.01324
2 3.050 5.000 0.4728 0.1874 0.6602 0.2839 0.00226 0.01207
3 6.561 10.000 0.4858 0.2804 0.7662 0.3660 0.00319 0.01138
4 10.627 15.000 0.4933 0.3331 0.8264 0.4030 0.00372 0.01116
5 15.074 20.000 0.5084 0.4381 0.9466 0.4629 0.00477 0.01088
6 19.222 25.000 0.4818 0.2522 0.7340 0.3436 0.00291 0.01154
7 22.784 30.000 0.4795 0.2356 0.7151 0.3295 0.00274 0.01164
8 26.436 35.000 0.4810 0.2461 0.7271 0.3385 0.00285 0.01157
9 29.934 40.000 0.4751 0.2045 0.6796 0.3009 0.00243 0.01189
10 33.268 45.000 0.4707 0.1727 0.6435 0.2685 0.00211 0.01224
11 36.407 50.000 0.4656 0.1355 0.6010 0.2254 0.00174 0.01286
The shape of the asymptotic radiance distribution for source-free water is given by
u theta Linf(theta)
10 0.00 1.0000E+00
9 10.00 6.1192E-01
8 20.00 1.9602E-01
7 30.00 4.7847E-02
6 40.00 1.2127E-02
5 50.00 3.7676E-03
4 60.00 1.4654E-03
3 70.00 6.8515E-04
2 80.00 3.6981E-04
1 87.50 2.5073E-04
1 92.50 1.9995E-04
2 100.00 1.5119E-04
3 110.00 1.1312E-04
4 120.00 9.2629E-05
5 130.00 8.1790E-05
6 140.00 7.6317E-05
7 150.00 7.3788E-05
8 160.00 7.2781E-05
9 170.00 7.2467E-05
10 180.00 7.2402E-05
Asymptotic source-free water AOP values are
MUu(inf) = 0.4059
MUd(inf) = 0.9397
MU(inf) = 0.9361
R(m,inf) = 0.0012
k(inf) = 0.4964 (1/m)
absorp(check) = 0.4647 = k(inf)*MU(inf)
Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 675.0 nm
iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed
in air 1.1103E-01 1.6851E+00 1.7962E+00 4.1058E-02 1.2316E+00 0.3698 0.7308 0.6628 3.3337E-02
1 0.00 0.00 6.0984E-03 1.3275E+00 1.3336E+00 2.6887E-03 1.1938E+00 0.4409 0.8993 0.8932 2.2522E-03
2 3.05 5.00 3.0199E-03 1.0076E-01 1.0378E-01 1.4597E-03 8.9538E-02 0.4833 0.8886 0.8487 1.6302E-02
3 6.56 10.00 2.4269E-03 9.2498E-03 1.1677E-02 1.1866E-03 7.2921E-03 0.4890 0.7883 0.5229 1.6273E-01
4 10.63 15.00 1.4505E-03 2.2229E-03 3.6735E-03 7.0316E-04 1.3058E-03 0.4848 0.5874 0.1640 5.3850E-01
5 15.07 20.00 7.9944E-04 1.1645E-03 1.9640E-03 3.7430E-04 6.1143E-04 0.4682 0.5250 0.1207 6.1217E-01
6 19.22 25.00 2.7096E-04 4.2063E-04 6.9159E-04 1.3019E-04 2.2950E-04 0.4805 0.5456 0.1436 5.6728E-01
7 22.78 30.00 1.6063E-04 1.9501E-04 3.5564E-04 7.8307E-05 1.0216E-04 0.4875 0.5239 0.0671 7.6654E-01
8 26.44 35.00 9.3576E-05 1.2053E-04 2.1411E-04 4.4921E-05 6.2823E-05 0.4801 0.5212 0.0836 7.1505E-01
9 29.93 40.00 4.8765E-05 6.2821E-05 1.1159E-04 2.3576E-05 3.2993E-05 0.4835 0.5252 0.0844 7.1457E-01
10 33.27 45.00 2.6677E-05 3.4984E-05 6.1661E-05 1.2914E-05 1.8384E-05 0.4841 0.5255 0.0887 7.0242E-01
11 36.41 50.00 1.4316E-05 1.8673E-05 3.2989E-05 6.9732E-06 9.8668E-06 0.4871 0.5284 0.0877 7.0674E-01
LAYER-AVERAGE K-functions (units of 1/meter) at 675.0 nm
zupper zlower zmid Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z)
0.000 5.000 2.500 0.14056 0.51566 0.51067 0.12217 0.51805 0.52088 0.10679
5.000 10.000 7.500 0.04372 0.47763 0.43693 0.04142 0.50157 0.53381 0.04373
10.000 15.000 12.500 0.10293 0.28516 0.23129 0.10465 0.34400 0.46313 0.10613
15.000 20.000 17.500 0.11915 0.12930 0.12523 0.12611 0.15175 0.18653 0.13720
20.000 25.000 22.500 0.21639 0.20366 0.20875 0.21121 0.19598 0.17408 0.20253
25.000 30.000 27.500 0.10457 0.15375 0.13302 0.10167 0.16188 0.28529 0.09874
30.000 35.000 32.500 0.10807 0.09622 0.10149 0.11114 0.09724 0.05738 0.11579
35.000 40.000 37.500 0.13035 0.13033 0.13034 0.12894 0.12880 0.12847 0.12648
40.000 45.000 42.500 0.12065 0.11708 0.11863 0.12039 0.11696 0.10863 0.12018
45.000 50.000 47.500 0.12448 0.12556 0.12509 0.12324 0.12447 0.12738 0.11934
Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 675.0 nm
iz zeta z Lu(z) Ld(z) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed
(m) (1/sr) (sr) (nadir) (1/sr)
in air 7.305E-03 8.681E-02 5.931E-03 5.621E+00 4.118E-04 3.344E-04
1 0.00 0.00 7.635E-04 1.593E-01 6.396E-04 3.522E+00
2 3.05 5.00 4.476E-04 2.475E-02 4.999E-03 3.261E+00
3 6.56 10.00 3.597E-04 3.458E-03 4.933E-02 3.299E+00
4 10.63 15.00 2.116E-04 6.176E-04 1.620E-01 3.323E+00
5 15.07 20.00 1.066E-04 2.238E-04 1.743E-01 3.513E+00
6 19.22 25.00 3.871E-05 8.738E-05 1.687E-01 3.363E+00
7 22.78 30.00 2.362E-05 3.696E-05 2.313E-01 3.315E+00
8 26.44 35.00 1.324E-05 2.185E-05 2.108E-01 3.393E+00
9 29.93 40.00 7.035E-06 1.170E-05 2.132E-01 3.351E+00
10 33.27 45.00 3.858E-06 6.484E-06 2.098E-01 3.348E+00
11 36.41 50.00 2.124E-06 3.523E-06 2.153E-01 3.283E+00
Waveband 28 of 30 completed in 0.5 sec.
* * * * * Output for wavelength band 29 (680.0 to 690.0 nm; nominal wavelength = 685.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
The infinitely deep bottom boundary condition is applied at 81.6 m at 685.0 nm
RADTRANX clear-sky spectral irradiances averaged over the band from 680.0 nm to 690.0 nm:
Ed(diffuse) = 2.816E-01 Ed(direct) = 8.472E-01 Ed(total) = 1.129E+00
Absorption Coefficients of Individual Components at 685.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.4860 0.0118 0.0002 0.4980
2 3.209 5.000 0.4860 0.0190 0.0003 0.5053
3 6.860 10.000 0.4860 0.0290 0.0004 0.5155
4 11.045 15.000 0.4860 0.0348 0.0005 0.5213
5 15.594 20.000 0.4860 0.0464 0.0007 0.5331
6 19.856 25.000 0.4860 0.0260 0.0004 0.5124
7 23.557 30.000 0.4860 0.0242 0.0004 0.5105
8 27.344 35.000 0.4860 0.0253 0.0004 0.5117
9 30.983 40.000 0.4860 0.0208 0.0003 0.5071
10 34.464 45.000 0.4860 0.0174 0.0003 0.5037
11 37.758 50.000 0.4860 0.0135 0.0002 0.4997
Scattering Coefficients of Individual Components at 685.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0007 0.1169 0.0000 0.1176
2 3.209 5.000 0.0007 0.1839 0.0000 0.1846
3 6.860 10.000 0.0007 0.2755 0.0000 0.2763
4 11.045 15.000 0.0007 0.3274 0.0000 0.3282
5 15.594 20.000 0.0007 0.4310 0.0000 0.4317
6 19.856 25.000 0.0007 0.2477 0.0000 0.2485
7 23.557 30.000 0.0007 0.2314 0.0000 0.2321
8 27.344 35.000 0.0007 0.2418 0.0000 0.2425
9 30.983 40.000 0.0007 0.2007 0.0000 0.2015
10 34.464 45.000 0.0007 0.1694 0.0000 0.1702
11 37.758 50.000 0.0007 0.1327 0.0000 0.1334
Backscattering Coefficients of Individual Components at 685.0 nm
(computed from the scattering coefficients and the phase functions)
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.00037 0.00117 0.00000 0.00154
2 3.209 5.000 0.00037 0.00184 0.00000 0.00221
3 6.860 10.000 0.00037 0.00276 0.00000 0.00313
4 11.045 15.000 0.00037 0.00327 0.00000 0.00365
5 15.594 20.000 0.00037 0.00431 0.00000 0.00468
6 19.856 25.000 0.00037 0.00248 0.00000 0.00285
7 23.557 30.000 0.00037 0.00231 0.00000 0.00268
8 27.344 35.000 0.00037 0.00242 0.00000 0.00279
9 30.983 40.000 0.00037 0.00201 0.00000 0.00238
10 34.464 45.000 0.00037 0.00169 0.00000 0.00207
11 37.758 50.000 0.00037 0.00133 0.00000 0.00170
Summary of Inherent Optical Properties at 685.0 nm
iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.4980 0.1176 0.6156 0.1911 0.00154 0.01309
2 3.209 5.000 0.5053 0.1846 0.6899 0.2676 0.00221 0.01197
3 6.860 10.000 0.5155 0.2763 0.7917 0.3490 0.00313 0.01132
4 11.045 15.000 0.5213 0.3282 0.8495 0.3863 0.00365 0.01111
5 15.594 20.000 0.5331 0.4317 0.9648 0.4475 0.00468 0.01084
6 19.856 25.000 0.5124 0.2485 0.7608 0.3266 0.00285 0.01146
7 23.557 30.000 0.5105 0.2321 0.7427 0.3126 0.00268 0.01157
8 27.344 35.000 0.5117 0.2425 0.7542 0.3215 0.00279 0.01150
9 30.983 40.000 0.5071 0.2015 0.7086 0.2843 0.00238 0.01180
10 34.464 45.000 0.5037 0.1702 0.6739 0.2525 0.00207 0.01214
11 37.758 50.000 0.4997 0.1334 0.6331 0.2108 0.00170 0.01272
The shape of the asymptotic radiance distribution for source-free water is given by
u theta Linf(theta)
10 0.00 1.0000E+00
9 10.00 5.9192E-01
8 20.00 1.7904E-01
7 30.00 4.1660E-02
6 40.00 1.0304E-02
5 50.00 3.1825E-03
4 60.00 1.2394E-03
3 70.00 5.8074E-04
2 80.00 3.1386E-04
1 87.50 2.1288E-04
1 92.50 1.6984E-04
2 100.00 1.2841E-04
3 110.00 9.6051E-05
4 120.00 7.8653E-05
5 130.00 6.9466E-05
6 140.00 6.4844E-05
7 150.00 6.2723E-05
8 160.00 6.1891E-05
9 170.00 6.1639E-05
10 180.00 6.1590E-05
Asymptotic source-free water AOP values are
MUu(inf) = 0.4060
MUd(inf) = 0.9428
MU(inf) = 0.9395
R(m,inf) = 0.0010
k(inf) = 0.5311 (1/m)
absorp(check) = 0.4990 = k(inf)*MU(inf)
Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 685.0 nm
iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed
in air 1.0185E-01 1.5432E+00 1.6450E+00 3.7823E-02 1.1288E+00 0.3714 0.7315 0.6632 3.3507E-02
1 0.00 0.00 6.5314E-03 1.2173E+00 1.2239E+00 2.9506E-03 1.0945E+00 0.4518 0.8991 0.8919 2.6959E-03
2 3.21 5.00 3.9062E-03 7.8254E-02 8.2160E-02 1.9116E-03 6.9010E-02 0.4894 0.8819 0.8167 2.7700E-02
3 6.86 10.00 3.3567E-03 7.7816E-03 1.1138E-02 1.6468E-03 5.6113E-03 0.4906 0.7211 0.3559 2.9348E-01
4 11.04 15.00 2.0300E-03 2.7314E-03 4.7614E-03 9.8561E-04 1.4978E-03 0.4855 0.5484 0.1076 6.5804E-01
5 15.59 20.00 1.1288E-03 1.6087E-03 2.7375E-03 5.2896E-04 8.3510E-04 0.4686 0.5191 0.1118 6.3341E-01
6 19.86 25.00 3.7488E-04 5.7269E-04 9.4757E-04 1.8031E-04 3.1125E-04 0.4810 0.5435 0.1382 5.7931E-01
7 23.56 30.00 2.2189E-04 2.6489E-04 4.8678E-04 1.0833E-04 1.3810E-04 0.4882 0.5213 0.0612 7.8444E-01
8 27.34 35.00 1.2950E-04 1.6459E-04 2.9408E-04 6.2248E-05 8.5541E-05 0.4807 0.5197 0.0792 7.2770E-01
9 30.98 40.00 6.7032E-05 8.5108E-05 1.5214E-04 3.2448E-05 4.4549E-05 0.4841 0.5234 0.0795 7.2836E-01
10 34.46 45.00 3.6478E-05 4.7198E-05 8.3675E-05 1.7681E-05 2.4729E-05 0.4847 0.5239 0.0842 7.1497E-01
11 37.76 50.00 1.9403E-05 2.4964E-05 4.4366E-05 9.4554E-06 1.3146E-05 0.4873 0.5266 0.0832 7.1924E-01
LAYER-AVERAGE K-functions (units of 1/meter) at 685.0 nm
zupper zlower zmid Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z)
0.000 5.000 2.500 0.10281 0.54889 0.54022 0.08681 0.55275 0.55783 0.07400
5.000 10.000 7.500 0.03032 0.46164 0.39966 0.02982 0.50190 0.56576 0.03352
10.000 15.000 12.500 0.10059 0.20939 0.16997 0.10266 0.26416 0.40929 0.10439
15.000 20.000 17.500 0.11737 0.10588 0.11070 0.12447 0.11684 0.10293 0.13587
20.000 25.000 22.500 0.22046 0.20657 0.21218 0.21524 0.19739 0.16986 0.20663
25.000 30.000 27.500 0.10489 0.15421 0.13322 0.10190 0.16253 0.29626 0.09870
30.000 35.000 32.500 0.10771 0.09517 0.10079 0.11081 0.09579 0.04906 0.11565
35.000 40.000 37.500 0.13169 0.13190 0.13181 0.13030 0.13048 0.13097 0.12781
40.000 45.000 42.500 0.12170 0.11791 0.11957 0.12143 0.11772 0.10810 0.12127
45.000 50.000 47.500 0.12626 0.12738 0.12689 0.12517 0.12636 0.12938 0.12155
Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 685.0 nm
iz zeta z Lu(z) Ld(z) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed
(m) (1/sr) (sr) (nadir) (1/sr)
in air 6.778E-03 7.911E-02 6.004E-03 5.581E+00 4.629E-04 4.100E-04
1 0.00 0.00 8.582E-04 1.452E-01 7.841E-04 3.438E+00
2 3.21 5.00 5.928E-04 1.917E-02 8.590E-03 3.225E+00
3 6.86 10.00 5.013E-04 2.538E-03 8.934E-02 3.285E+00
4 11.04 15.00 2.974E-04 6.053E-04 1.986E-01 3.314E+00
5 15.59 20.00 1.508E-04 2.898E-04 1.806E-01 3.508E+00
6 19.86 25.00 5.366E-05 1.168E-04 1.724E-01 3.360E+00
7 23.56 30.00 3.276E-05 4.927E-05 2.372E-01 3.307E+00
8 27.34 35.00 1.837E-05 2.952E-05 2.148E-01 3.388E+00
9 30.98 40.00 9.698E-06 1.567E-05 2.177E-01 3.346E+00
10 34.46 45.00 5.289E-06 8.652E-06 2.139E-01 3.343E+00
11 37.76 50.00 2.880E-06 4.657E-06 2.191E-01 3.283E+00
Waveband 29 of 30 completed in 0.6 sec.
* * * * * Output for wavelength band 30 (690.0 to 700.0 nm; nominal wavelength = 695.0 nm) * * * * *
Index of refraction at this wavelength is 1.340
The infinitely deep bottom boundary condition is applied at 78.6 m at 695.0 nm
RADTRANX clear-sky spectral irradiances averaged over the band from 690.0 nm to 700.0 nm:
Ed(diffuse) = 2.700E-01 Ed(direct) = 8.188E-01 Ed(total) = 1.089E+00
Absorption Coefficients of Individual Components at 695.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.5590 0.0073 0.0002 0.5665
2 3.536 5.000 0.5590 0.0118 0.0003 0.5710
3 7.492 10.000 0.5590 0.0180 0.0004 0.5774
4 11.955 15.000 0.5590 0.0215 0.0005 0.5810
5 16.763 20.000 0.5590 0.0287 0.0006 0.5883
6 21.300 25.000 0.5590 0.0161 0.0003 0.5754
7 25.302 30.000 0.5590 0.0150 0.0003 0.5743
8 29.388 35.000 0.5590 0.0157 0.0003 0.5750
9 33.332 40.000 0.5590 0.0129 0.0003 0.5722
10 37.127 45.000 0.5590 0.0108 0.0002 0.5700
11 40.744 50.000 0.5590 0.0083 0.0002 0.5675
Scattering Coefficients of Individual Components at 695.0 nm
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.0007 0.1152 0.0000 0.1159
2 3.536 5.000 0.0007 0.1813 0.0000 0.1820
3 7.492 10.000 0.0007 0.2716 0.0000 0.2723
4 11.955 15.000 0.0007 0.3227 0.0000 0.3234
5 16.763 20.000 0.0007 0.4248 0.0000 0.4255
6 21.300 25.000 0.0007 0.2442 0.0000 0.2449
7 25.302 30.000 0.0007 0.2281 0.0000 0.2288
8 29.388 35.000 0.0007 0.2383 0.0000 0.2390
9 33.332 40.000 0.0007 0.1978 0.0000 0.1985
10 37.127 45.000 0.0007 0.1670 0.0000 0.1677
11 40.744 50.000 0.0007 0.1308 0.0000 0.1315
Backscattering Coefficients of Individual Components at 695.0 nm
(computed from the scattering coefficients and the phase functions)
iz Opt Depth Geo Depth Comp 1 Comp 2 Comp 3 Total
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.00035 0.00115 0.00000 0.00150
2 3.536 5.000 0.00035 0.00181 0.00000 0.00216
3 7.492 10.000 0.00035 0.00272 0.00000 0.00306
4 11.955 15.000 0.00035 0.00323 0.00000 0.00358
5 16.763 20.000 0.00035 0.00425 0.00000 0.00460
6 21.300 25.000 0.00035 0.00244 0.00000 0.00279
7 25.302 30.000 0.00035 0.00228 0.00000 0.00263
8 29.388 35.000 0.00035 0.00238 0.00000 0.00273
9 33.332 40.000 0.00035 0.00198 0.00000 0.00233
10 37.127 45.000 0.00035 0.00167 0.00000 0.00202
11 40.744 50.000 0.00035 0.00131 0.00000 0.00166
Summary of Inherent Optical Properties at 695.0 nm
iz Opt Depth Geo Depth total a total b total c albedo total bb total bb/b
(m) (1/m) (1/m) (1/m) (1/m)
1 0.000 0.000 0.5665 0.1159 0.6824 0.1698 0.00150 0.01295
2 3.536 5.000 0.5710 0.1820 0.7530 0.2416 0.00216 0.01188
3 7.492 10.000 0.5774 0.2723 0.8496 0.3205 0.00306 0.01125
4 11.955 15.000 0.5810 0.3234 0.9044 0.3576 0.00358 0.01106
5 16.763 20.000 0.5883 0.4255 1.0138 0.4197 0.00460 0.01080
6 21.300 25.000 0.5754 0.2449 0.8203 0.2985 0.00279 0.01139
7 25.302 30.000 0.5743 0.2288 0.8030 0.2849 0.00263 0.01149
8 29.388 35.000 0.5750 0.2390 0.8140 0.2936 0.00273 0.01143
9 33.332 40.000 0.5722 0.1985 0.7707 0.2576 0.00233 0.01172
10 37.127 45.000 0.5700 0.1677 0.7377 0.2273 0.00202 0.01204
11 40.744 50.000 0.5675 0.1315 0.6990 0.1881 0.00166 0.01260
The shape of the asymptotic radiance distribution for source-free water is given by
u theta Linf(theta)
10 0.00 1.0000E+00
9 10.00 5.5682E-01
8 20.00 1.5254E-01
7 30.00 3.2824E-02
6 40.00 7.8291E-03
5 50.00 2.4033E-03
4 60.00 9.3962E-04
3 70.00 4.4221E-04
2 80.00 2.3968E-04
1 87.50 1.6279E-04
1 92.50 1.3001E-04
2 100.00 9.8363E-05
3 110.00 7.3626E-05
4 120.00 6.0350E-05
5 130.00 5.3365E-05
6 140.00 4.9877E-05
7 150.00 4.8300E-05
8 160.00 4.7700E-05
9 170.00 4.7531E-05
10 180.00 4.7503E-05
Asymptotic source-free water AOP values are
MUu(inf) = 0.4066
MUd(inf) = 0.9475
MU(inf) = 0.9447
R(m,inf) = 0.0009
k(inf) = 0.6003 (1/m)
absorp(check) = 0.5671 = k(inf)*MU(inf)
Irradiances (units of W/m^2 nm), Mean Cosines (Mubars), and Irradiance Reflectance at 695.0 nm
iz zeta z(m) Eou Eod Eo Eu Ed MUBARu MUBARd MUBAR R = Eu/Ed
in air 9.7124E-02 1.4872E+00 1.5843E+00 3.6019E-02 1.0888E+00 0.3709 0.7321 0.6645 3.3082E-02
1 0.00 0.00 4.5660E-03 1.1728E+00 1.1773E+00 2.0229E-03 1.0553E+00 0.4430 0.8999 0.8946 1.9169E-03
2 3.54 5.00 2.2918E-03 5.1789E-02 5.4081E-02 1.1234E-03 4.5903E-02 0.4902 0.8864 0.8280 2.4473E-02
3 7.49 10.00 1.9835E-03 4.0602E-03 6.0437E-03 9.7664E-04 2.8460E-03 0.4924 0.7010 0.3093 3.4316E-01
4 11.95 15.00 1.2074E-03 1.5391E-03 2.7464E-03 5.8796E-04 8.2342E-04 0.4870 0.5350 0.0857 7.1405E-01
5 16.76 20.00 6.8003E-04 9.4522E-04 1.6253E-03 3.1989E-04 4.8810E-04 0.4704 0.5164 0.1035 6.5536E-01
6 21.30 25.00 2.2240E-04 3.2754E-04 5.4994E-04 1.0736E-04 1.7692E-04 0.4827 0.5402 0.1265 6.0679E-01
7 25.30 30.00 1.3115E-04 1.5260E-04 2.8374E-04 6.4247E-05 7.9019E-05 0.4899 0.5178 0.0521 8.1305E-01
8 29.39 35.00 7.6808E-05 9.5242E-05 1.7205E-04 3.7076E-05 4.9320E-05 0.4827 0.5178 0.0712 7.5174E-01
9 33.33 40.00 3.9575E-05 4.8923E-05 8.8497E-05 1.9229E-05 2.5482E-05 0.4859 0.5209 0.0707 7.5462E-01
10 37.13 45.00 2.1480E-05 2.7072E-05 4.8553E-05 1.0453E-05 1.4125E-05 0.4866 0.5218 0.0756 7.4004E-01
11 40.74 50.00 1.1371E-05 1.4237E-05 2.5608E-05 5.5564E-06 7.4595E-06 0.4887 0.5239 0.0743 7.4488E-01
LAYER-AVERAGE K-functions (units of 1/meter) at 695.0 nm
zupper zlower zmid Kou(z) Kod(z) Ko(z) Ku(z) Kd(z) Knet(z) KLu(z)
0.000 5.000 2.500 0.13786 0.62399 0.61611 0.11764 0.62701 0.63158 0.09995
5.000 10.000 7.500 0.02889 0.50919 0.43829 0.02800 0.55613 0.63524 0.03095
10.000 15.000 12.500 0.09929 0.19401 0.15774 0.10149 0.24804 0.41436 0.10338
15.000 20.000 17.500 0.11481 0.09750 0.10493 0.12174 0.10459 0.06725 0.13304
20.000 25.000 22.500 0.22353 0.21196 0.21672 0.21836 0.20296 0.17659 0.20996
25.000 30.000 27.500 0.10563 0.15276 0.13235 0.10268 0.16121 0.30991 0.09921
30.000 35.000 32.500 0.10700 0.09427 0.10006 0.10995 0.09427 0.03754 0.11480
35.000 40.000 37.500 0.13263 0.13323 0.13296 0.13131 0.13207 0.13440 0.12880
40.000 45.000 42.500 0.12221 0.11835 0.12007 0.12190 0.11800 0.10646 0.12164
45.000 50.000 47.500 0.12722 0.12853 0.12795 0.12639 0.12770 0.13146 0.12331
Selected Radiances (units of W/m^2 sr nm) and Radiance-Irradiance Ratios at 695.0 nm
iz zeta z Lu(z) Ld(z) Lu/Ed Q = Eu/Lu Lw(z) Rrs = Lw/Ed
(m) (1/sr) (sr) (nadir) (1/sr)
in air 6.399E-03 7.587E-02 5.877E-03 5.629E+00 3.109E-04 2.855E-04
1 0.00 0.00 5.763E-04 1.392E-01 5.461E-04 3.510E+00
2 3.54 5.00 3.496E-04 1.297E-02 7.617E-03 3.213E+00
3 7.49 10.00 2.995E-04 1.290E-03 1.052E-01 3.261E+00
4 11.95 15.00 1.786E-04 3.138E-04 2.169E-01 3.292E+00
5 16.76 20.00 9.185E-05 1.658E-04 1.882E-01 3.483E+00
6 21.30 25.00 3.215E-05 6.550E-05 1.817E-01 3.339E+00
7 25.30 30.00 1.958E-05 2.766E-05 2.477E-01 3.282E+00
8 29.39 35.00 1.103E-05 1.687E-05 2.236E-01 3.362E+00
9 33.33 40.00 5.791E-06 8.870E-06 2.273E-01 3.321E+00
10 37.13 45.00 3.152E-06 4.893E-06 2.232E-01 3.316E+00
11 40.74 50.00 1.702E-06 2.615E-06 2.281E-01 3.266E+00
Waveband 30 of 30 completed in 0.6 sec.
Energy Eo as a function of depth and wavelength
Units are W/m^2 [values are integrated over the wavelength bands]
depth 405.0 415.0 425.0 435.0 445.0 455.0 465.0 475.0 485.0 495.0 505.0 515.0 525.0 535.0 545.0 555.0 565.0 575.0 585.0 595.0 605.0 615.0 625.0 635.0 645.0 655.0 665.0 675.0 685.0 695.0
in air 1.839E+01 1.933E+01 1.837E+01 1.874E+01 2.197E+01 2.337E+01 2.315E+01 2.339E+01 2.255E+01 2.280E+01 2.228E+01 2.132E+01 2.173E+01 2.190E+01 2.154E+01 2.133E+01 2.109E+01 2.104E+01 2.046E+01 1.963E+01 2.011E+01 1.960E+01 1.935E+01 1.908E+01 1.846E+01 1.761E+01 1.831E+01 1.796E+01 1.645E+01 1.584E+01
0.0 1.424E+01 1.494E+01 1.419E+01 1.444E+01 1.694E+01 1.804E+01 1.795E+01 1.822E+01 1.759E+01 1.775E+01 1.721E+01 1.626E+01 1.660E+01 1.673E+01 1.641E+01 1.618E+01 1.599E+01 1.585E+01 1.526E+01 1.455E+01 1.484E+01 1.447E+01 1.430E+01 1.411E+01 1.365E+01 1.303E+01 1.356E+01 1.334E+01 1.224E+01 1.177E+01
5.0 1.101E+01 1.151E+01 1.092E+01 1.103E+01 1.296E+01 1.388E+01 1.392E+01 1.430E+01 1.387E+01 1.393E+01 1.313E+01 1.163E+01 1.196E+01 1.199E+01 1.153E+01 1.098E+01 1.069E+01 9.865E+00 7.859E+00 5.447E+00 3.321E+00 3.070E+00 2.766E+00 2.455E+00 2.087E+00 1.528E+00 1.135E+00 1.038E+00 8.216E-01 5.408E-01
10.0 7.147E+00 7.406E+00 7.013E+00 7.006E+00 8.324E+00 9.066E+00 9.219E+00 9.718E+00 9.574E+00 9.678E+00 8.956E+00 7.508E+00 7.874E+00 7.921E+00 7.539E+00 6.993E+00 6.756E+00 5.809E+00 3.818E+00 1.931E+00 7.049E-01 6.191E-01 5.079E-01 4.045E-01 3.035E-01 1.723E-01 1.020E-01 1.168E-01 1.114E-01 6.044E-02
15.0 3.727E+00 3.800E+00 3.591E+00 3.533E+00 4.287E+00 4.808E+00 4.997E+00 5.483E+00 5.558E+00 5.722E+00 5.269E+00 4.223E+00 4.583E+00 4.682E+00 4.458E+00 4.069E+00 3.938E+00 3.163E+00 1.714E+00 6.369E-01 1.404E-01 1.174E-01 8.767E-02 6.270E-02 4.205E-02 1.996E-02 1.673E-02 3.673E-02 4.761E-02 2.746E-02
20.0 1.644E+00 1.641E+00 1.547E+00 1.494E+00 1.864E+00 2.171E+00 2.319E+00 2.675E+00 2.814E+00 2.976E+00 2.752E+00 2.127E+00 2.413E+00 2.523E+00 2.422E+00 2.193E+00 2.141E+00 1.610E+00 7.212E-01 1.987E-01 2.732E-02 2.186E-02 1.497E-02 9.811E-03 6.165E-03 3.337E-03 6.777E-03 1.964E-02 2.738E-02 1.625E-02
25.0 8.000E-01 7.848E-01 7.380E-01 7.007E-01 8.919E-01 1.069E+00 1.167E+00 1.402E+00 1.516E+00 1.630E+00 1.494E+00 1.099E+00 1.289E+00 1.368E+00 1.312E+00 1.168E+00 1.142E+00 8.025E-01 2.973E-01 6.097E-02 5.689E-03 4.376E-03 2.840E-03 1.838E-03 1.209E-03 9.163E-04 2.399E-03 6.916E-03 9.476E-03 5.499E-03
30.0 4.753E-01 4.622E-01 4.339E-01 4.073E-01 5.237E-01 6.375E-01 7.068E-01 8.703E-01 9.552E-01 1.032E+00 9.255E-01 6.410E-01 7.665E-01 8.160E-01 7.735E-01 6.701E-01 6.502E-01 4.264E-01 1.312E-01 2.022E-02 1.556E-03 1.166E-03 7.618E-04 5.449E-04 4.196E-04 4.356E-04 1.240E-03 3.556E-03 4.868E-03 2.837E-03
35.0 2.723E-01 2.621E-01 2.457E-01 2.278E-01 2.964E-01 3.675E-01 4.141E-01 5.242E-01 5.854E-01 6.368E-01 5.612E-01 3.678E-01 4.494E-01 4.813E-01 4.523E-01 3.825E-01 3.692E-01 2.264E-01 5.811E-02 6.919E-03 5.793E-04 4.301E-04 2.950E-04 2.396E-04 2.089E-04 2.504E-04 7.425E-04 2.141E-03 2.941E-03 1.720E-03
40.0 1.653E-01 1.579E-01 1.477E-01 1.354E-01 1.777E-01 2.233E-01 2.552E-01 3.305E-01 3.739E-01 4.079E-01 3.513E-01 2.169E-01 2.696E-01 2.893E-01 2.686E-01 2.210E-01 2.117E-01 1.213E-01 2.608E-02 2.491E-03 2.827E-04 2.078E-04 1.468E-04 1.287E-04 1.182E-04 1.411E-04 3.939E-04 1.116E-03 1.521E-03 8.850E-04
45.0 1.066E-01 1.011E-01 9.445E-02 8.576E-02 1.131E-01 1.436E-01 1.660E-01 2.190E-01 2.501E-01 2.725E-01 2.285E-01 1.324E-01 1.667E-01 1.787E-01 1.634E-01 1.305E-01 1.237E-01 6.631E-02 1.200E-02 9.803E-04 1.657E-04 1.196E-04 8.446E-05 7.641E-05 7.141E-05 8.320E-05 2.208E-04 6.166E-04 8.368E-04 4.855E-04
50.0 7.375E-02 6.977E-02 6.504E-02 5.856E-02 7.734E-02 9.873E-02 1.152E-01 1.540E-01 1.766E-01 1.914E-01 1.554E-01 8.418E-02 1.068E-01 1.140E-01 1.023E-01 7.896E-02 7.387E-02 3.702E-02 5.687E-03 4.363E-04 1.073E-04 7.549E-05 5.212E-05 4.771E-05 4.478E-05 4.979E-05 1.213E-04 3.299E-04 4.437E-04 2.561E-04
Quantum Eo as a function of depth and wavelength
Units are (micromol photons)/(m^2 s) [values are integrated over the wavelength bands]
depth 405.0 415.0 425.0 435.0 445.0 455.0 465.0 475.0 485.0 495.0 505.0 515.0 525.0 535.0 545.0 555.0 565.0 575.0 585.0 595.0 605.0 615.0 625.0 635.0 645.0 655.0 665.0 675.0 685.0 695.0
in air 6.225E+01 6.704E+01 6.524E+01 6.814E+01 8.172E+01 8.887E+01 8.997E+01 9.287E+01 9.143E+01 9.431E+01 9.402E+01 9.179E+01 9.535E+01 9.793E+01 9.810E+01 9.894E+01 9.961E+01 1.011E+02 1.000E+02 9.764E+01 1.017E+02 1.007E+02 1.011E+02 1.013E+02 9.951E+01 9.642E+01 1.018E+02 1.013E+02 9.418E+01 9.203E+01
0.0 4.821E+01 5.183E+01 5.039E+01 5.250E+01 6.299E+01 6.862E+01 6.977E+01 7.235E+01 7.131E+01 7.343E+01 7.264E+01 7.000E+01 7.285E+01 7.479E+01 7.474E+01 7.507E+01 7.549E+01 7.618E+01 7.462E+01 7.235E+01 7.503E+01 7.439E+01 7.470E+01 7.488E+01 7.361E+01 7.135E+01 7.539E+01 7.524E+01 7.007E+01 6.839E+01
5.0 3.727E+01 3.994E+01 3.878E+01 4.009E+01 4.819E+01 5.279E+01 5.408E+01 5.678E+01 5.623E+01 5.765E+01 5.540E+01 5.008E+01 5.249E+01 5.360E+01 5.252E+01 5.094E+01 5.047E+01 4.741E+01 3.843E+01 2.709E+01 1.679E+01 1.578E+01 1.445E+01 1.303E+01 1.125E+01 8.367E+00 6.307E+00 5.855E+00 4.704E+00 3.141E+00
10.0 2.419E+01 2.569E+01 2.491E+01 2.547E+01 3.096E+01 3.448E+01 3.583E+01 3.858E+01 3.881E+01 4.004E+01 3.780E+01 3.232E+01 3.455E+01 3.542E+01 3.434E+01 3.244E+01 3.190E+01 2.792E+01 1.867E+01 9.603E+00 3.564E+00 3.182E+00 2.653E+00 2.147E+00 1.636E+00 9.432E-01 5.667E-01 6.588E-01 6.377E-01 3.511E-01
15.0 1.262E+01 1.318E+01 1.276E+01 1.284E+01 1.594E+01 1.828E+01 1.942E+01 2.177E+01 2.253E+01 2.367E+01 2.224E+01 1.818E+01 2.011E+01 2.094E+01 2.031E+01 1.888E+01 1.860E+01 1.520E+01 8.382E+00 3.168E+00 7.099E-01 6.036E-01 4.580E-01 3.328E-01 2.267E-01 1.092E-01 9.299E-02 2.072E-01 2.726E-01 1.595E-01
20.0 5.564E+00 5.691E+00 5.496E+00 5.432E+00 6.934E+00 8.257E+00 9.013E+00 1.062E+01 1.141E+01 1.231E+01 1.162E+01 9.156E+00 1.059E+01 1.128E+01 1.103E+01 1.017E+01 1.011E+01 7.739E+00 3.526E+00 9.880E-01 1.381E-01 1.123E-01 7.818E-02 5.207E-02 3.324E-02 1.827E-02 3.767E-02 1.108E-01 1.567E-01 9.441E-02
25.0 2.708E+00 2.722E+00 2.621E+00 2.547E+00 3.317E+00 4.064E+00 4.537E+00 5.564E+00 6.144E+00 6.742E+00 6.306E+00 4.729E+00 5.657E+00 6.116E+00 5.974E+00 5.417E+00 5.391E+00 3.857E+00 1.454E+00 3.032E-01 2.877E-02 2.250E-02 1.483E-02 9.753E-03 6.520E-03 5.016E-03 1.333E-02 3.902E-02 5.425E-02 3.195E-02
30.0 1.609E+00 1.603E+00 1.541E+00 1.481E+00 1.948E+00 2.424E+00 2.747E+00 3.455E+00 3.872E+00 4.268E+00 3.906E+00 2.759E+00 3.363E+00 3.649E+00 3.523E+00 3.108E+00 3.070E+00 2.049E+00 6.413E-01 1.006E-01 7.867E-03 5.991E-03 3.980E-03 2.892E-03 2.262E-03 2.385E-03 6.891E-03 2.006E-02 2.787E-02 1.648E-02
35.0 9.217E-01 9.092E-01 8.726E-01 8.284E-01 1.103E+00 1.397E+00 1.609E+00 2.081E+00 2.373E+00 2.635E+00 2.369E+00 1.583E+00 1.972E+00 2.152E+00 2.060E+00 1.774E+00 1.744E+00 1.088E+00 2.841E-01 3.441E-02 2.929E-03 2.211E-03 1.541E-03 1.272E-03 1.126E-03 1.371E-03 4.127E-03 1.208E-02 1.684E-02 9.994E-03
40.0 5.597E-01 5.476E-01 5.246E-01 4.924E-01 6.609E-01 8.494E-01 9.918E-01 1.312E+00 1.516E+00 1.688E+00 1.483E+00 9.335E-01 1.183E+00 1.294E+00 1.223E+00 1.025E+00 9.995E-01 5.832E-01 1.275E-01 1.239E-02 1.429E-03 1.068E-03 7.670E-04 6.831E-04 6.372E-04 7.723E-04 2.189E-03 6.295E-03 8.710E-03 5.141E-03
45.0 3.608E-01 3.508E-01 3.355E-01 3.118E-01 4.207E-01 5.461E-01 6.452E-01 8.696E-01 1.014E+00 1.128E+00 9.643E-01 5.699E-01 7.315E-01 7.992E-01 7.445E-01 6.053E-01 5.842E-01 3.187E-01 5.869E-02 4.875E-03 8.377E-04 6.149E-04 4.412E-04 4.055E-04 3.850E-04 4.555E-04 1.227E-03 3.479E-03 4.791E-03 2.820E-03
50.0 2.497E-01 2.420E-01 2.310E-01 2.129E-01 2.877E-01 3.755E-01 4.476E-01 6.114E-01 7.160E-01 7.920E-01 6.557E-01 3.624E-01 4.687E-01 5.097E-01 4.659E-01 3.663E-01 3.489E-01 1.779E-01 2.780E-02 2.170E-03 5.427E-04 3.880E-04 2.723E-04 2.532E-04 2.414E-04 2.726E-04 6.740E-04 1.861E-03 2.540E-03 1.488E-03
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 2.7664E+03 1.8379E+03
0.00 2.0932E+03 1.7925E+03
5.00 1.0599E+03 8.5569E+02
10.00 6.3027E+02 4.8491E+02
15.00 3.4218E+02 2.5363E+02
20.00 1.6777E+02 1.2117E+02
25.00 8.6396E+01 6.2051E+01
30.00 5.1216E+01 3.6734E+01
35.00 2.9845E+01 2.1337E+01
40.00 1.8033E+01 1.2897E+01
45.00 1.1379E+01 8.1438E+00
50.00 7.5597E+00 5.4203E+00
K-function for PAR (units of 1/meter)
(valid only when zupper and zlower are closely spaced)
zupper zlower z KPAR(from Eo, layer-averaged)
0.000 5.000 2.500 0.13108
5.000 10.000 7.500 0.10168
10.000 15.000 12.500 0.11850
15.000 20.000 17.500 0.13681
20.000 25.000 22.500 0.12806
25.000 30.000 27.500 0.10226
30.000 35.000 32.500 0.10546
35.000 40.000 37.500 0.09868
40.000 45.000 42.500 0.09051
45.000 50.000 47.500 0.08066
CIE 1931 chromaticity coordinates (x,y) and (il)luminance Y for selected quantities. Output is (x,y,Y).
Y is illuminance in lm/m^2 for Ed and Eu; Y is luminance in lm/(m^2 sr) for Lu and Lw
depth Ed Eu Lu Lw
in air (0.328, 0.340, 1.023E+05) (0.298, 0.318, 4.023E+03) (0.287, 0.312, 7.706E+02) (0.200, 0.254, 1.930E+02)
0.00 (0.327, 0.339, 9.973E+04) (0.197, 0.248, 1.387E+03) (0.200, 0.254, 3.577E+02)
5.00 (0.251, 0.326, 5.610E+04) (0.191, 0.263, 1.072E+03) (0.193, 0.267, 2.567E+02)
10.00 (0.220, 0.321, 3.227E+04) (0.190, 0.285, 7.537E+02) (0.191, 0.285, 1.678E+02)
15.00 (0.210, 0.331, 1.734E+04) (0.190, 0.306, 4.458E+02) (0.191, 0.302, 9.434E+01)
20.00 (0.208, 0.353, 8.710E+03) (0.190, 0.323, 2.280E+02) (0.188, 0.312, 4.624E+01)
25.00 (0.205, 0.367, 4.572E+03) (0.180, 0.308, 1.087E+02) (0.180, 0.300, 2.290E+01)
30.00 (0.198, 0.364, 2.666E+03) (0.176, 0.305, 6.428E+01) (0.176, 0.297, 1.350E+01)
35.00 (0.193, 0.364, 1.537E+03) (0.171, 0.297, 3.639E+01) (0.171, 0.287, 7.655E+00)
40.00 (0.188, 0.361, 9.134E+02) (0.165, 0.280, 2.078E+01) (0.165, 0.270, 4.464E+00)
45.00 (0.182, 0.353, 5.613E+02) (0.158, 0.259, 1.229E+01) (0.159, 0.251, 2.710E+00)
50.00 (0.175, 0.340, 3.591E+02) (0.153, 0.237, 7.640E+00) (0.154, 0.234, 1.741E+00)
The final depth-averaged photopic alpha and K are alpha = 0.3850 1/m and K = 0.1159 1/m
The final estimate for the Secchi depth is z_SD = 15.97 m
Run completed on 07/25/2011 at 14:34:37.0
Total (wall clock) run time = 8.4 sec