OSA's Digital Library

Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 59, Iss. 9 — Sep. 1, 1969
  • pp: 1134–1137

Propagation of the Fourth-Order Coherence Function in a Random Medium (a Nonperturbative Formulation)

M. J. BERAN and T. L. Ho  »View Author Affiliations


JOSA, Vol. 59, Issue 9, pp. 1134-1137 (1969)
http://dx.doi.org/10.1364/JOSA.59.001134


View Full Text Article

Acrobat PDF (444 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

In a previous paper, we considered a perturbation solution for propagation of the fourth-order coherence function in a random medium. In this paper, it is shown how under certain conditions this solution may be extended to treat the propagation problem when the field fluctuations need not be small. A differential equation governing the fourth-order coherence function is derived. A solution is obtained in the geometricoptics limit when the four points of the coherence function are distinct.

© 1969 Optical Society of America

Citation
M. J. BERAN and T. L. Ho, "Propagation of the Fourth-Order Coherence Function in a Random Medium (a Nonperturbative Formulation)," J. Opt. Soc. Am. 59, 1134-1137 (1969)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-59-9-1134


Sort:  Author  |  Journal  |  Reset

References

  1. T. L. Ho and M. J. Beran, J. Opt. Soc. Am. 58, 1335 (1968).
  2. M. J. Beran and G. B. Parrent, Jr., Theory of Partial Coherence (Prentice-Hall, Inc., Englewood Cliffs, N. J., 1964). See p. 23 for the derivation of a similar relation for the Fourier transform of the mutual coherence function.
  3. In Ref. 1 we used the notation Ľ0\z instead of {Ľ0}z.
  4. V. I. Tatarski, Wave Propagation in a Turbulent Medium (McGraw-Hill Book Co., New York 1961). See Eqs. (13.13), (7.54), and (7.56).
  5. M. J. Beran, J. Opt. Soc. Am. 56, 1475 (1966).
  6. Equation (20) can also be derived by a diagram technique, i.e., a partial summation of the infinite series representing {L⌃1}. See, V. I. Shishov, IVUZ-Radiophysics (Russian) 11, 866 (1968). Shishov used a gaussian form for the correlation function of refractive-index fluctuations.

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