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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 2, Iss. 12 — Dec. 1, 1985
  • pp: 2285–2294

Application of the phase-perturbation technique to randomly rough surfaces

Dale P. Winebrenner and Akira Ishimaru  »View Author Affiliations

JOSA A, Vol. 2, Issue 12, pp. 2285-2294 (1985)

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The phase-perturbation method for the computation of fields scattered by rough surfaces is reviewed and then a method for calculating moments of the field scattered from randomly rough surfaces is investigated. In previous work, the authors have shown that the phase-perturbation method can provide an accurate approximation to the fields scattered from deterministic rough surfaces, even in cases when the rms surface-height variation is significant compared to the radiation wavelength. The present work employs cumulants to develop a systematic averaging procedure that retains this advantage, in the case of scalar-wave scattering from surfaces on which Dirichlet boundary conditions hold. The resulting expressions for the moments of the scattered field are shown to reduce to classical small roughness and physical-optics expressions in the appropriate limits. Numerical results for the magnitude of the coherent reflection coefficient in two test cases are also presented.

© 1985 Optical Society of America

Original Manuscript: May 3, 1985
Manuscript Accepted: August 26, 1985
Published: December 1, 1985

Dale P. Winebrenner and Akira Ishimaru, "Application of the phase-perturbation technique to randomly rough surfaces," J. Opt. Soc. Am. A 2, 2285-2294 (1985)

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