Abstract

A study has been made of the image blurring introduced by a thermally turbulent atmosphere under poor “seeing” conditions for horizontal sight lines. The root-mean-square radius of the blur circle is shown to increase approximately as the square root of the range up to the maximum range considered, using optical transfer techniques. This is in good agreement with a recent theoretical model of light transmission through a turbulent optical medium.

© 1965 Optical Society of America

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References

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  1. E. Djurle and A. Bäck, J. Opt. Soc. Am. 51, 1029 (1961).
    [CrossRef]
  2. R. E. Hufnagel and N. R. Stanley, J. Opt. Soc. Am. 54, 52 (1964).
    [CrossRef]
  3. S. Q. Duntley, W. H. Culver, F. Richey, and R. W. Preisendorfer, J. Opt. Soc. Am. 53, 351 (1963).
    [CrossRef]

1964 (1)

1963 (1)

1961 (1)

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Figures (2)

F. 1
F. 1

Optical transfer function of the atmosphere for a horizontal sightline of 880 yd. The experimental points are shown, and the curve is that of T(ν) = exp(−2π2η2ν2), with η = 0.062 mrad.

F. 2
F. 2

Variation of the image-blur radius of the atmosphere with object-to-observer distance for horizontal sightlines.

Tables (1)

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Table I Image blur for different object-to-observer distances.

Equations (6)

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A ( x ) = [ a ( 2 π ) 1 2 ] 1 exp ( x 2 / 2 a 2 ) .
T ( ν ) = exp ( 2 π 2 η 2 ν 2 ) .
η = k R n ,
η = k R ( 0.44 ) ,
exp ( α R ν 5 / 3 ) ,
η = k R ( 0.6 ) ,