OSA's Digital Library

Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 62, Iss. 8 — Aug. 1, 1972
  • pp: 966–971

Fourth Moment of a Wave Propagating in a Random Medium

W. P. BROWN, JR.  »View Author Affiliations


JOSA, Vol. 62, Issue 8, pp. 966-971 (1972)
http://dx.doi.org/10.1364/JOSA.62.000966


View Full Text Article

Acrobat PDF (566 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The fourth statistical moment of a scalar wave propagating in a random medium is investigated. Starting with a partial differential equation obtained by various authors in a multiple-scattering approximation, we discuss the general properties of the fourth moment of an initially plane wave and then present numerical results for a two-dimensional plane wave. Results are presented for the variance and covariance of irradiance scintillations. Both results are shown to agree well with experiment. In particular, the variance exhibits the experimentally observed saturation phenomenon, and the covariance results indicate that the correlation length for irradiance scintillations is not proportional to (λz)½. in the saturation region and that the aperture-averaging effect is less than that predicted by results based on the Born or Rytov approximations.

Citation
W. P. BROWN, JR., "Fourth Moment of a Wave Propagating in a Random Medium," J. Opt. Soc. Am. 62, 966-971 (1972)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-62-8-966

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited