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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2008 Volume 354, Pages 5–18 (Mi znsl1643)

This article is cited in 4 papers

On the scattering of the plane wave by transparent wedge

V. M. Babicha, N. V. Mokeevab

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b Saint-Petersburg State University

Abstract: It is proved in the paper, that the problem of scattering of the plane wave by transparent wedge, if the radiation conditions it should be mean in the form: it necessary to subtract from the solution the incident wave, all reflected and refracted waves. The remainder is to satisfy the radiation condition in integral form. The problem is scalar, the velocity of wave inside and outside of the wedge are not equal, the wave process is described by the classical Helmholtz equations, conjugation boundary condition take place on the sides of the wedge. Bibl. – 8 titles, fig. – 2.

UDC: 517.911

Received: 25.01.2008


 English version:
Journal of Mathematical Sciences (New York), 2008, 155:3, 335–342

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