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Zapiski Nauchnykh Seminarov POMI, 2003, Volume 297, Pages 93–105 (Mi znsl1216)  
This article is cited in 1 scientific paper (total 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
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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.
Received: 03.03.2003
English version:
Journal of Mathematical Sciences (New York), 2005, Volume 127, Issue 6, Pages 2389–2395
DOI: https://doi.org/10.1007/s10958-005-0187-y
Bibliographic databases:
UDC: 517.10
Language: Russian
Citation: N. Ya. Kirpichnikova, S. N. Kirpichnikov, V. B. Philippov, “Scattering of a plane electromagnetic wave on a small inhomogeneity in a slightly bent layer”, Mathematical problems in the theory of wave propagation. Part 32, Zap. Nauchn. Sem. POMI, 297, POMI, St. Petersburg, 2003, 93–105; J. Math. Sci. (N. Y.), 127:6 (2005), 2389–2395
Citation in format AMSBIB
\Bibitem{KirKirPhi03}
\by N.~Ya.~Kirpichnikova, S.~N.~Kirpichnikov, V.~B.~Philippov
\paper Scattering of a~plane electromagnetic wave on a~small inhomogeneity in a~slightly bent layer
\inbook Mathematical problems in the theory of wave propagation. Part~32
\serial Zap. Nauchn. Sem. POMI
\yr 2003
\vol 297
\pages 93--105
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1216}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1981389}
\zmath{https://zbmath.org/?q=an:1116.78012}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2005
\vol 127
\issue 6
\pages 2389--2395
\crossref{https://doi.org/10.1007/s10958-005-0187-y}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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