Abstract

The restrictions on the applicability of ray optics in the turbulent atmosphere are investigated. Within the single-scatter approximation, the requirement that amplitude fluctuations have negligible effect compared to phase fluctuations leads to the condition <i>l</i><sub>inner</sub><sup>11/3</sup><i>l</i><sub>outer</sub><sup>1/3</sup>/λ<sup>2</sup>>>(<i>L</i>/27)<sup>2</sup> where <i>l</i><sub>inner</sub>, <i>l</i><sub>outer</sub> are the inner and outer turbulence scales and <i>L</i> is the range. This criterion is a considerable relaxation of the criterion which has been employed (<i>l</i><sub>inner</sub><sup>2</sup>/λ>><i>L</i>).

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  1. L. A. Chernov, Wave Propagation in a Random Medium (McGraw-Hill Book Company, New York, 1960).
  2. P. Beckmann, Radio Science J. Res. NBS/USNC-URSI 69D, 629 (1964).
  3. H. Hodara, Proc. IEEE 54, 368 (1966).
  4. V. I. Tatarski, Wave Propagation a Turbulent Medium (McGraw-Hill Book Company, New York, 1961).
  5. We note parenthetically that, as pointed out by Keller,8 there is an error involved in the integration along straight ray aths which causes a numerical error in the results given in Refs. 1-3.
  6. H. G. Booker and W. E. Gordon, Proc. IRE 401 (1950).
  7. J. B. Keller, in Proc. Symposia in Applied Mathematics XVI (American Mathematical Society, Providence, R. I., 1964), p. 145.
  8. J. B. Keller, in Proc. Symposia in Applied Mathematics XIII (American Mathematical Society, Providence, R. I., 1960), p. 221.
  9. L. S. Taylor, J. Opt. Soc. Am. 57, 304 (1967).
  10. R. E. Hufnagel and N. R. Stanley, J. Opt. Soc. Am. 54, 52 (1964).
  11. D. L. Fried and J. D. Cloud, in Proc. Conf. on Atmospheric Limitations to Optical Propagation, Boulder, Colorado, (1965), p. 242.

Beckmann, P.

P. Beckmann, Radio Science J. Res. NBS/USNC-URSI 69D, 629 (1964).

Booker, H. G.

H. G. Booker and W. E. Gordon, Proc. IRE 401 (1950).

Chernov, L. A.

L. A. Chernov, Wave Propagation in a Random Medium (McGraw-Hill Book Company, New York, 1960).

Cloud, J. D.

D. L. Fried and J. D. Cloud, in Proc. Conf. on Atmospheric Limitations to Optical Propagation, Boulder, Colorado, (1965), p. 242.

Fried, D. L.

D. L. Fried and J. D. Cloud, in Proc. Conf. on Atmospheric Limitations to Optical Propagation, Boulder, Colorado, (1965), p. 242.

Gordon, W. E.

H. G. Booker and W. E. Gordon, Proc. IRE 401 (1950).

Hodara, H.

H. Hodara, Proc. IEEE 54, 368 (1966).

Hufnagel, R. E.

R. E. Hufnagel and N. R. Stanley, J. Opt. Soc. Am. 54, 52 (1964).

Keller, J. B.

J. B. Keller, in Proc. Symposia in Applied Mathematics XVI (American Mathematical Society, Providence, R. I., 1964), p. 145.

J. B. Keller, in Proc. Symposia in Applied Mathematics XIII (American Mathematical Society, Providence, R. I., 1960), p. 221.

Stanley, N. R.

R. E. Hufnagel and N. R. Stanley, J. Opt. Soc. Am. 54, 52 (1964).

Tatarski, V. I.

V. I. Tatarski, Wave Propagation a Turbulent Medium (McGraw-Hill Book Company, New York, 1961).

Taylor, L. S.

L. S. Taylor, J. Opt. Soc. Am. 57, 304 (1967).

Other

L. A. Chernov, Wave Propagation in a Random Medium (McGraw-Hill Book Company, New York, 1960).

P. Beckmann, Radio Science J. Res. NBS/USNC-URSI 69D, 629 (1964).

H. Hodara, Proc. IEEE 54, 368 (1966).

V. I. Tatarski, Wave Propagation a Turbulent Medium (McGraw-Hill Book Company, New York, 1961).

We note parenthetically that, as pointed out by Keller,8 there is an error involved in the integration along straight ray aths which causes a numerical error in the results given in Refs. 1-3.

H. G. Booker and W. E. Gordon, Proc. IRE 401 (1950).

J. B. Keller, in Proc. Symposia in Applied Mathematics XVI (American Mathematical Society, Providence, R. I., 1964), p. 145.

J. B. Keller, in Proc. Symposia in Applied Mathematics XIII (American Mathematical Society, Providence, R. I., 1960), p. 221.

L. S. Taylor, J. Opt. Soc. Am. 57, 304 (1967).

R. E. Hufnagel and N. R. Stanley, J. Opt. Soc. Am. 54, 52 (1964).

D. L. Fried and J. D. Cloud, in Proc. Conf. on Atmospheric Limitations to Optical Propagation, Boulder, Colorado, (1965), p. 242.

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