OSA's Digital Library

Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 72, Iss. 8 — Aug. 1, 1982
  • pp: 1034–1041

Fresnel scattering by a corrugated random surface with fractal slope

E. Jakeman  »View Author Affiliations


JOSA, Vol. 72, Issue 8, pp. 1034-1041 (1982)
http://dx.doi.org/10.1364/JOSA.72.001034


View Full Text Article

Acrobat PDF (1008 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Consideration of the density of rays emanating from an infinite, corrugated Gaussian surface with fractal slope reveals a hitherto unexplored shortwave scattering regime that is uncomplicated by the presence of caustics in the scattered wave field. The statistical and coherence properties of the ray-density fluctuations in this regime are calculated as a function of fractal dimension D, and it is shown that in the Brownian case (D = 1.5) the problem can be solved exactly. The properties of the intensity pattern in a coherent scattering configuration are also investigated. The contrast of the pattern is computed as a function of propagation distance, and the asymptotic behavior in the strong scattering limit is again found to be exactly solvable when D = 1.5. It is shown that the intensity fluctuations are K distributed in this case. The effects of a finite outer-scale size are evaluated and discussed.

© 1982 Optical Society of America

Citation
E. Jakeman, "Fresnel scattering by a corrugated random surface with fractal slope," J. Opt. Soc. Am. 72, 1034-1041 (1982)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-72-8-1034

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