Abstract

This is a report of experimental work performed during the period of September 1956 to June 1957 on the correlation of backscattering with atmospheric transmission. Measurements were made for a variety of conditions where the meteorological range varied from less than 0.10 mile to more than 40 miles in atmospheres which were free of industrial pollution. Analysis of the data shows the following relationship:

V=C/S1.5,

where V=meteorological range, C=constant, and S=backscattered signal. The point spread about the curve indicates that meteorological range can be determined from the backscattered signal with an accuracy of 20% for all visibilities in the ranges studied.

© 1958 Optical Society of America

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References

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  1. Gumprecht, Neng-Lun, and Sliepcevish, J. Opt. Soc. Am. 42, 226–231 (1952).
    [CrossRef]
  2. Curcio, Knestrick, and Drummeter, “A Preliminary Study on the Correlation of Atmospheric Transmission with Backscattering,” , Aug.28, 1956.
  3. T. H. Cosden, “Recording Horizontal Atmospheric Transmission of Light by Night and Day,” , July8, 1955.
  4. J. M. Waldram, Quart. J. Roy. Meteorol. Soc. 71, 319–336 (1945).
    [CrossRef]

1952 (1)

1945 (1)

J. M. Waldram, Quart. J. Roy. Meteorol. Soc. 71, 319–336 (1945).
[CrossRef]

Cosden, T. H.

T. H. Cosden, “Recording Horizontal Atmospheric Transmission of Light by Night and Day,” , July8, 1955.

Curcio,

Curcio, Knestrick, and Drummeter, “A Preliminary Study on the Correlation of Atmospheric Transmission with Backscattering,” , Aug.28, 1956.

Drummeter,

Curcio, Knestrick, and Drummeter, “A Preliminary Study on the Correlation of Atmospheric Transmission with Backscattering,” , Aug.28, 1956.

Gumprecht,

Knestrick,

Curcio, Knestrick, and Drummeter, “A Preliminary Study on the Correlation of Atmospheric Transmission with Backscattering,” , Aug.28, 1956.

Neng-Lun,

Sliepcevish,

Waldram, J. M.

J. M. Waldram, Quart. J. Roy. Meteorol. Soc. 71, 319–336 (1945).
[CrossRef]

J. Opt. Soc. Am. (1)

Quart. J. Roy. Meteorol. Soc. (1)

J. M. Waldram, Quart. J. Roy. Meteorol. Soc. 71, 319–336 (1945).
[CrossRef]

Other (2)

Curcio, Knestrick, and Drummeter, “A Preliminary Study on the Correlation of Atmospheric Transmission with Backscattering,” , Aug.28, 1956.

T. H. Cosden, “Recording Horizontal Atmospheric Transmission of Light by Night and Day,” , July8, 1955.

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Figures (6)

Fig. 1
Fig. 1

Calculated angular intensity of light scattered by a spherical particle of index 1.33 (water droplet) and α=40=2πr/λ. A scattering angle of zero degrees corresponds to backward directions.

Fig. 2
Fig. 2

Intensity of light scattered directly backward (0 degrees) as a function of α=2πr/λ.

Fig. 3
Fig. 3

Curve showing relationship of backscatter to volume scatter (σ0/σv) as a function of water droplet radius (r).

Fig. 4
Fig. 4

Log-log curve of relative backscatter signal as a function of meteorological range from Arcata data showing relationship V=C/S1.5.

Fig. 5
Fig. 5

Log-log curve of relative backscatter signal as a function of meteorological range at NRL for period February 11, to June 7, 1957.

Fig. 6
Fig. 6

Composite of Arcata and NRL data normalized at 1.5 miles to give continuous straight line curve.

Equations (2)

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V = C / S 1.5 ,
σ = 2 π Σ K i r i 2 N i ,