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Zapiski Nauchnykh Seminarov POMI, 2004, Volume 308, Pages 101–123 (Mi znsl830)  
This article is cited in 5 scientific papers (total in 5 papers)

On an integral equation in the problem of the plane wave diffraction by a circular transparent cone

M. A. Lyalinov

Saint-Petersburg State University
Full-text PDF (279 kB) Citations (5)
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Abstract: The problem of diffraction by a transparent convex cone is studied. The uniqueness theorem is proven in the problem of diffraction for the illumination by a compact source. For the circular cone the solution is obtained in the form of the Kontorovich–Lebedev integrals and of the Fourier series expansions. A singular integral equation is deduced for the Fourier coefficients and its reqularization is performed.
Received: 18.12.2003
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 132, Issue 1, Pages 56–68
DOI: https://doi.org/10.1007/s10958-005-0475-6
Bibliographic databases:
UDC: 527
Language: Russian
Citation: M. A. Lyalinov, “On an integral equation in the problem of the plane wave diffraction by a circular transparent cone”, Mathematical problems in the theory of wave propagation. Part 33, Zap. Nauchn. Sem. POMI, 308, POMI, St. Petersburg, 2004, 101–123; J. Math. Sci. (N. Y.), 132:1 (2006), 56–68
Citation in format AMSBIB
\Bibitem{Lya04}
\by M.~A.~Lyalinov
\paper On an integral equation in the problem of the plane wave diffraction by a~circular transparent cone
\inbook Mathematical problems in the theory of wave propagation. Part~33
\serial Zap. Nauchn. Sem. POMI
\yr 2004
\vol 308
\pages 101--123
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl830}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2092614}
\zmath{https://zbmath.org/?q=an:1130.76071}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 132
\issue 1
\pages 56--68
\crossref{https://doi.org/10.1007/s10958-005-0475-6}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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