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The Kirchhoff approximation and first-order perturbation theory for rough surface scattering
Journal article   Peer reviewed

The Kirchhoff approximation and first-order perturbation theory for rough surface scattering

David H. Berman and John S. Perkins
The Journal of the Acoustical Society of America, Vol.78(3), pp.1045-1051
1985
DOI: 10.1121/1.393022

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Abstract

The conventional Kirchhoff approximation for rough surface scattering does not reduce to perturbation results in the limit of small surface heights. It is shown here how to modify the conventional Kirchhoff approximation by using appropriate half-space Green’s functions. The resulting expressions for the differential cross section for scattering from rough surfaces reduce to the conventional Kirchhoff results and the perturbation results in the appropriate limits.

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