Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Fresnel scattering by a corrugated random surface with fractal slope

Not Accessible

Your library or personal account may give you access

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

Full Article  |  PDF Article
More Like This
Scattering from fractally corrugated surfaces

Dwight L. Jaggard and Xiaoguang Sun
J. Opt. Soc. Am. A 7(6) 1131-1139 (1990)

Speckle statistics of doubly scattered light

K. A. O’Donnell
J. Opt. Soc. Am. 72(11) 1459-1463 (1982)

Inverse scattering for unbounded fractally corrugated surfaces

Lei Zhang
J. Opt. Soc. Am. A 33(12) 2297-2304 (2016)

Cited By

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

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (5)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (64)

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

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved