L. B. Stotts,1
M. E. Hyde,1
G. W. Beaghler,1
and M. G. Chappell, Jr.1,2
1When this work was done all authors were with U.S. Naval Ocean Systems Center, Communication Research & Technology Division, San Diego, California 92152
2M. G. Chappell is now with Signetics, Sunnyvale, California 95050.
L. B. Stotts, M. E. Hyde, G. W. Beaghler, and M. G. Chappell, "Scattered radiation from a gradient particulate atmosphere in the presence of a totally absorbing earth," Appl. Opt. 18, 978-983 (1979)
This paper describes an analytical model for the background noise power produced by direct solar irradiance scattering in a gradient particulate atmosphere in the presence of a totally absorbing earth. Its intent is to provide a simple analytical tool for approximating the noise contribution of the blue sky. A comparison of model predictions with both published and unpublished experimental results is provided and is shown to be in reasonable agreement.
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Comparison of Theoretical and Measured Clear Zenith Sky Radiance Values for Cocoa Beach, Florida
Wavelength (μm)
Sun elevation angle
15°
41°
77°
1.19
0.37
3.33
18.68
(0.596)
(3.189)
(60.106)
1.94
0.058
0.29
1.63
(0.15)
(0.572)
(8.42)
2.5
0.013
0.84
5.84
(0.042)
(0.20)
(2.75)
3
0.066
0.087
0.158
(0.017)
(0.067)
(0.509)
Calculated radiance values in parentheses. All radiance data in units of W m−2 sr−1μm−1. Sun direction, earth’s normal, and receiver direction are coplanar.
Table II
Comparison of Theoretical and Measured Clear Sky Radiance Values for Colorado Springs, Colorado
Wavelength (μm)
Radiometer elevation angle
7.2°
30°
1.19
8.61
2.71
(3.13)
(3.93)
1.94
0.292
0.125
(0.365)
(0.309)
3.0
0.117
0.042
(0.037)
(0.019)
Calculated radiance values in parentheses. All radiance data in units of W m−2 sr−1μm−1. Sun direction, earth’s normal, and receiver direction are coplanar.
Table III
Comparison of Theoretical and Measured Clear Sky Radiance for San Diego, California
Comparison of Theoretical and Measured Clear Zenith Sky Radiance Values for Cocoa Beach, Florida
Wavelength (μm)
Sun elevation angle
15°
41°
77°
1.19
0.37
3.33
18.68
(0.596)
(3.189)
(60.106)
1.94
0.058
0.29
1.63
(0.15)
(0.572)
(8.42)
2.5
0.013
0.84
5.84
(0.042)
(0.20)
(2.75)
3
0.066
0.087
0.158
(0.017)
(0.067)
(0.509)
Calculated radiance values in parentheses. All radiance data in units of W m−2 sr−1μm−1. Sun direction, earth’s normal, and receiver direction are coplanar.
Table II
Comparison of Theoretical and Measured Clear Sky Radiance Values for Colorado Springs, Colorado
Wavelength (μm)
Radiometer elevation angle
7.2°
30°
1.19
8.61
2.71
(3.13)
(3.93)
1.94
0.292
0.125
(0.365)
(0.309)
3.0
0.117
0.042
(0.037)
(0.019)
Calculated radiance values in parentheses. All radiance data in units of W m−2 sr−1μm−1. Sun direction, earth’s normal, and receiver direction are coplanar.
Table III
Comparison of Theoretical and Measured Clear Sky Radiance for San Diego, California
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