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Zapiski Nauchnykh Seminarov POMI, 2001, Volume 275, Pages 85–99 (Mi znsl1393)  
This article is cited in 2 scientific papers (total 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
Full-text PDF (225 kB) Citations (2)
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.
Received: 25.11.2000
English version:
Journal of Mathematical Sciences (New York), 2003, Volume 117, Issue 2, Pages 3936–3944
DOI: https://doi.org/10.1023/A:1024614824477
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: N. Ya. Kirpichnikova, V. B. Philippov, “Diffraction of plane electromagnetic waves on a small inhomogeneity in a layer”, Mathematical problems in the theory of wave propagation. Part 30, Zap. Nauchn. Sem. POMI, 275, POMI, St. Petersburg, 2001, 85–99; J. Math. Sci. (N. Y.), 117:2 (2003), 3936–3944
Citation in format AMSBIB
\Bibitem{KirPhi01}
\by N.~Ya.~Kirpichnikova, V.~B.~Philippov
\paper Diffraction of plane electromagnetic waves on a~small inhomogeneity in a~layer
\inbook Mathematical problems in the theory of wave propagation. Part~30
\serial Zap. Nauchn. Sem. POMI
\yr 2001
\vol 275
\pages 85--99
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1393}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1854502}
\zmath{https://zbmath.org/?q=an:1108.78010}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2003
\vol 117
\issue 2
\pages 3936--3944
\crossref{https://doi.org/10.1023/A:1024614824477}
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  • https://www.mathnet.ru/eng/znsl/v275/p85
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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