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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 58, Iss. 1 — Jan. 1, 1968
  • pp: 57–59

Validity of Ray-Optics Calculations in a Turbulent Atmosphere

LEONARD S. TAYLOR  »View Author Affiliations


JOSA, Vol. 58, Issue 1, pp. 57-59 (1968)
http://dx.doi.org/10.1364/JOSA.58.000057


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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 linner11/3louter1/32>>(L/27)2 where linner, louter are the inner and outer turbulence scales and L is the range. This criterion is a considerable relaxation of the criterion which has been employed (linner2/λ>>L).

Citation
LEONARD S. TAYLOR, "Validity of Ray-Optics Calculations in a Turbulent Atmosphere," J. Opt. Soc. Am. 58, 57-59 (1968)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-58-1-57


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References

  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.

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