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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 56, Iss. 1 — Jan. 1, 1966
  • pp: 128–129

Average Transfer Function from Statistics of Wavefront Distortions*

EUGENE A. TRABKA  »View Author Affiliations


JOSA, Vol. 56, Issue 1, pp. 128-129 (1966)
http://dx.doi.org/10.1364/JOSA.56.000128


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EUGENE A. TRABKA, "Average Transfer Function from Statistics of Wavefront Distortions*," J. Opt. Soc. Am. 56, 128-129 (1966)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-56-1-128


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References

  1. E. L. O'Neill, Introduction to Statistical Optics (Addison-Wesley Publishing Company, Inc., Reading, Mass., 1963), pp. 99–101.
  2. L. A. Chernov, Wave Propagation in a Random Medium (McGraw-Hill Book Company, Inc., New York, 1960), Chap. VII.
  3. V. I. Tatarski, Wave Propagation in a Turbulent Mediusms (McGraw-Hill Book Company, Inc., New York, 1961), Chap. VIII.
  4. R. E. Hufnagel and N. R. Stanley, J. Opt. Soc. Am. 54, 52 (1964).
  5. There is an apparent anomaly in the fact that 〈I〉 is a monotonic increasing function of 〈ψ2〉. This would imply that the mean intensity increases with turbulent path length. Chernov attributes this to the perturbation analysis from which 〈ψ〉 = 0 is ordinarily obtained. A further consequence in this analysis is that the average transfer function as given by (5) at zero spatial frequency is also dependent on the turbulent path. Chernov points out that these effects can be removed by suitable normalization of the pupil function. Such normalization does not affect the shape of the average transfer function and is effectively accomplished when we determine K in (5) so that Tr(0,0) = 1.

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