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Zapiski Nauchnykh Seminarov 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.
Received: 25.12.2000
English version:
Journal of Mathematical Sciences (New York), 2003, Volume 117, Issue 2, Pages 4028–4033
DOI: https://doi.org/10.1023/A:1024687313090
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: V. B. Philippov, N. Ya. Kirpichnikova, A. S. Kirpichnikova, “Diffraction of electromagnetic wave on a small inhomogeneity elliptic form in a layer”, Mathematical problems in the theory of wave propagation. Part 30, Zap. Nauchn. Sem. POMI, 275, POMI, St. Petersburg, 2001, 249–257; J. Math. Sci. (N. Y.), 117:2 (2003), 4028–4033
Citation in format AMSBIB
\Bibitem{PhiKirKir01}
\by V.~B.~Philippov, N.~Ya.~Kirpichnikova, A.~S.~Kirpichnikova
\paper Diffraction of electromagnetic wave on a~small inhomogeneity elliptic form in a~layer
\inbook Mathematical problems in the theory of wave propagation. Part~30
\serial Zap. Nauchn. Sem. POMI
\yr 2001
\vol 275
\pages 249--257
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1404}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1854513}
\zmath{https://zbmath.org/?q=an:1108.78009}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2003
\vol 117
\issue 2
\pages 4028--4033
\crossref{https://doi.org/10.1023/A:1024687313090}
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  • https://www.mathnet.ru/eng/znsl/v275/p249
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