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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. LOMI, 1988 Volume 173, Pages 6–19 (Mi znsl4492)

This article is cited in 1 paper

Asymptotics of the field diffracted on a smooth convex body near the edge of a nonsingular coustic

I. V. Andronov


Abstract: The standard problem method is applied to construct the acoustic field asymptotics near the edge of the caustic formed by a wave diffracted on a smooth body. The field is represented by a Fresnel part and a background. Explicit formulas for the terms being a submitance of the Fresnel part and the background are obtained. Analiticity of these terms is proved.

UDC: 517.9:534.22.094


 English version:
Journal of Soviet Mathematics, 1991, 55:3, 1645–1656

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