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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2003 Volume 297, Pages 93–105 (Mi znsl1216)

This article is cited in 1 paper

Scattering of a plane electromagnetic wave on a small inhomogeneity in a slightly bent layer

N. Ya. Kirpichnikovaa, S. N. Kirpichnikovb, V. B. Philippovb

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

Abstract: The problem of the diffraction of the electromagnetic plane wave, scattered on a small inhomogeneity in a slightly bent layer, is investigated. The inhomogeneity is supposed to be a cylinder. A cross-section area and diameter of the cylinder are small in comparision with the length of the incident wave.
It is proved that the small inhomogeneity radiates as a point source, the power of which is proportional to the cross-section area and the jumps of the dielectric and magnetic constants on the interfaces.
The bend of the layer does rezult in variation of the exponential factors of the reflected and refracted waves and in variation of the radiation pattern of the scattered waves.

UDC: 517.10

Received: 03.03.2003


 English version:
Journal of Mathematical Sciences (New York), 2005, 127:6, 2389–2395

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© Steklov Math. Inst. of RAS, 2024