## Fresnel scattering by a corrugated random surface with fractal slope

JOSA, Vol. 72, Issue 8, pp. 1034-1041 (1982)

http://dx.doi.org/10.1364/JOSA.72.001034

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### 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

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