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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2001 Volume 275, Pages 249–257 (Mi znsl1404)

Diffraction of electromagnetic wave on a small inhomogeneity elliptic form in a layer

V. B. Philippov, N. Ya. Kirpichnikova, A. S. Kirpichnikova

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

Abstract: The problem of the diffraction of the electromagnatic plane wave, scattered on a small inhomogeneity in a layer, is investigated. The inhomogeneity is supposed to be a elliptic cylinder, focal distance of which is small in comparison 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: 25.12.2000


 English version:
Journal of Mathematical Sciences (New York), 2003, 117:2, 4028–4033

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