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On angular-spectrum representations for scattering by infinite rough surfaces

✍ Scribed by J.A. DeSanto; P.A. Martin

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 845 KB
Volume: 24
Category: Article
ISSN: 0165-2125
DOI: 10.1016/s0165-2125(96)00028-5

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✦ Synopsis

A plane acoustic wave insonifies an infinite rough surface. The reflected field is written as an angular-spectrum representation (plane-wave expansion), with an unknown amplitude function A. It is pointed out that A must be considered as a generalized function, and not as a continuous function. Various decompositions of A are suggested and analysed. Energy considerations lead to relations between the coefficients in these decompositions, generalizing some known results for scattering by periodic surfaces (gratings). It is shown that the reflected field must include at least one propagating plane wave.

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