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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2001 Volume 275, Pages 85–99 (Mi znsl1393)

This article is cited in 2 papers

Diffraction of plane electromagnetic waves on a small inhomogeneity in a layer

N. Ya. Kirpichnikova, V. B. Philippov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences

Abstract: The problem of the diffraction of the electromagnetic plane wave, scattered on a small inhomogeneity in a layer is investigated. The inhomogeneity is supposed to be a circular cylinder, radius of which is small in comparision with the length of the falling wave. It is proved that the small inhomogeneity radiates as a point source, the power of wich is proportional to the cross-section area and the jumps of the dielectric and magnetic constants on the interfaces.

UDC: 517.9

Received: 25.11.2000


 English version:
Journal of Mathematical Sciences (New York), 2003, 117:2, 3936–3944

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© Steklov Math. Inst. of RAS, 2025