OSA's Digital Library

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)

View Full Text Article

Acrobat PDF (669 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools


No abstract available.

EUGENE A. TRABKA, "Average Transfer Function from Statistics of Wavefront Distortions*," J. Opt. Soc. Am. 56, 128-129 (1966)

Sort:  Author  |  Journal  |  Reset


  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.

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited