OSA's Digital Library

Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 58, Iss. 6 — Jun. 1, 1968
  • pp: 798–805

Fluctuation Distribution of Gaussian Beam Propagating Through a Random Medium

YASUAKI KINOSHITA  »View Author Affiliations

JOSA, Vol. 58, Issue 6, pp. 798-805 (1968)

View Full Text Article

Acrobat PDF (1002 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



The mean-square fluctuations of log amplitude and phase are analytically obtained for gaussian light-beam propagating through a randomly inhomogeneous medium with gaussian covariance of the refractive-index fluctuations. The beam used is radiated from an extended source with a circularly symmetric gaussian amplitude distribution and a curved wavefront (phase variation) which characterize the beam shape. The dependence of the fluctuation distribution upon the beam shape and the scale of the medium turbulence is discussed.

YASUAKI KINOSHITA, "Fluctuation Distribution of Gaussian Beam Propagating Through a Random Medium," J. Opt. Soc. Am. 58, 798-805 (1968)

Sort:  Author  |  Journal  |  Reset


  1. V. I. Tatarski, Wave Propagation in a Turbulent Medium, translated by R. A. Silverman (McGraw-Hill Book Co., New York, 1961).
  2. L. A. Chernov, Wave Propagation in a Random Medium, translated by R. A. Silverman (McGraw-Hill Book Co., New York, 1960).
  3. R. A. Schmeltzer, Quart. Appl. Math. 24, 339 (1966). 4. D. L. Fried and J. B. Seidman, J. Opt. Soc. Am. 57, 181 (1967).
  4. Y. Kinoshita, thesis, Hokkaido University, 1966. Y. Kinoshita, M. Suzuki, and T. Matsumoto, Radio Science 3, 287 (1968).
  5. H. Kogelnik and T. Li, Proc. IEEE 54, 1312 (1966).
  6. This restriction comes from both the perturbation used in Eq. (6b) and the approximation ln(φ/ φ0)≃δφ/φ0. Instead of it, another form of restriction equivalent to that of the usual Rytov approximation can be used and given in such a way that, after introducing the Rytov transform in Eq. (4), we obtain the equation of Riccati type and solve it by means of the method of smooth perturbations.1 To avoid a long procedure for that method, the present deduction was used, which leads to this restriction.
  7. For instance, see Ref.2, p.83.9. See Ref. 1, p.186.
  8. W. P. Brown, J. Opt. Soc. Am. 56, 1045 (1966).
  9. L. S. Taylor, Radio Science 2, 437 (1967).
  10. D. L. Fried, J. Opt. Soc. Am. 57, 268 (1967).
  11. D. A. deWolf, J. Opt. Soc. Am. 57, 1057 (1967).

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