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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2008 Volume 354, Pages 100–111 (Mi znsl1646)

This article is cited in 3 papers

Diffraction of an $H$-polarized surface wave by an abgular break of a thin dielectric slab

V. È. Grikurov, M. A. Lyalinov

Saint-Petersburg State University

Abstract: This paper reports the recent advance in applications of the Sommerfeld–Malyuzhinets technique to the diffraction problem of a surface wave by an angular break of a thin material slab. The solution is represented by the Sommerfeld intergrals which are then substituted into the boundary conditions. The unknown spectral functions satisfy coupled Malyuzhinets functional equations. The latter are then reduced to the Fredholm second kind integral equations which are solved numerically. The scattering diagram of the cylindrical wave arising from the edge of the structure is computed. Bibl. – 3 titles, fig. – 3.

UDC: 517

Received: 24.03.2008


 English version:
Journal of Mathematical Sciences (New York), 2008, 155:3, 390–396

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