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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)

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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

E. Jakeman, "Fresnel scattering by a corrugated random surface with fractal slope," J. Opt. Soc. Am. 72, 1034-1041 (1982)

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