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Zapiski Nauchnykh Seminarov POMI, 2002, Volume 285, Pages 5–14 (Mi znsl1548)  
This article is cited in 7 scientific papers (total in 8 papers)

Skattering of a highfrequency electromagnetic wave fieldskattered by the vertex of a perfectly conducting cone. (Singular directions.)

V. M. Babicha, D. B. Dement'evb, B. A. Samokishb, V. P. Smyshlyaeva

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b Saint-Petersburg State University
Full-text PDF (222 kB) Citations (8)
Abstract: An analitic exspression for electromagnetic wave field scattering by the vertex of a perfectly conducting cone in the singular directions is considered. The approach is a generalisation of the approach of the papers [1–3]. The spherical front of the wave, propagating from the vertex of the cone tangents the front of the wave, reflected by the cone surface in this “singular” directions. The wave field is expressed in the terms of the parabolic cylinder functions.
Received: 25.09.2001
English version:
Journal of Mathematical Sciences (New York), 2004, Volume 122, Issue 5, Pages 3453–3458
DOI: https://doi.org/10.1023/B:JOTH.0000034023.22584.75
Bibliographic databases:
UDC: 517.95
Language: Russian
Citation: V. M. Babich, D. B. Dement'ev, B. A. Samokish, V. P. Smyshlyaev, “Skattering of a highfrequency electromagnetic wave fieldskattered by the vertex of a perfectly conducting cone. (Singular directions.)”, Mathematical problems in the theory of wave propagation. Part 31, Zap. Nauchn. Sem. POMI, 285, POMI, St. Petersburg, 2002, 5–14; J. Math. Sci. (N. Y.), 122:5 (2004), 3453–3458
Citation in format AMSBIB
\Bibitem{BabDemSam02}
\by V.~M.~Babich, D.~B.~Dement'ev, B.~A.~Samokish, V.~P.~Smyshlyaev
\paper Skattering of a~highfrequency electromagnetic wave fieldskattered by the vertex of a~perfectly conducting cone. (Singular directions.)
\inbook Mathematical problems in the theory of wave propagation. Part~31
\serial Zap. Nauchn. Sem. POMI
\yr 2002
\vol 285
\pages 5--14
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1548}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1911107}
\zmath{https://zbmath.org/?q=an:1108.78007}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2004
\vol 122
\issue 5
\pages 3453--3458
\crossref{https://doi.org/10.1023/B:JOTH.0000034023.22584.75}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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