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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 73, Iss. 4 — Apr. 1, 1983
  • pp: 500–502

Second-order Rytov approximation

H. T. Yura, C. C. Sung, S. F. Clifford, and R. J. Hill  »View Author Affiliations


JOSA, Vol. 73, Issue 4, pp. 500-502 (1983)
http://dx.doi.org/10.1364/JOSA.73.000500


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Abstract

We obtain an explicit and useful formulation of the solution for the second-order Rytov approximation for an arbitrary source geometry. From this solution a condition of validity for the Rytov solution is obtained. We conclude that both the Born and the Rytov approximations have the same domain of validity.

© 1983 Optical Society of America

Citation
H. T. Yura, C. C. Sung, S. F. Clifford, and R. J. Hill, "Second-order Rytov approximation," J. Opt. Soc. Am. 73, 500-502 (1983)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-73-4-500


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References

  1. V. I. Tatarski, Wave Propagation in a Turbulent Medium (McGraw-Hill, New York, 1961).
  2. W. P. Brown, Jr., "Comments on the validity of the Rytov approximation," J. Opt. Soc. Am. 57, 1539–1543 (1967).
  3. R. A. Schmeltzer, "Means, variances, and covariances for laser beam propagation through a random medium," Quart. Appl. Math. 24, 339–354 (1967).
  4. V. I. Tatarski, The Effect of the Turbulent Atmosphere on Wave Propagation (National Technical Information Service, Springfield, Va., 1971).
  5. See, for more references, R. L. Fante, "Electromagnetic beam propagation in turbulent media," Proc. IEEE 63, 1669–1692 (1975).
  6. R. E. Hufnagel and N. R. Stanley, "Modulation transfer functionassociated with image transmission through turbulent media," J. Opt. Soc. Am. 54, 52–61 (1964).
  7. D. L. Fried, "A diffusion analysis for the propagation of mutual coherence," J. Opt. Soc. Am. 58, 961–969 (1968).
  8. C. C. Sung and J. D. Stettler, "Systematic perturbation approach to the propagation of an electromagnetic beam wave in a turbulent atmosphere," Opt. Lett. 6, 537–539 (1981).
  9. H. T. Yura, Electromagnetic Field and Intensity Fluctuations in a Weekly Inhomogeneous Medium, Memo RM-5697 (RandCorporation, Los Angeles, Calif., July 1968).
  10. H. T. Yura, The Second-Order Rytov Approximation, Memo RM-5787-PR (Rand Corporation, Los Angeles, Calif., February 1969).

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