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Zapiski Nauchnykh Seminarov POMI, 2008, Volume 354, Pages 100–111 (Mi znsl1646)  

This article is cited in 3 scientific papers (total in 3 papers)

Diffraction of an $H$-polarized surface wave by an abgular break of a thin dielectric slab

V. È. Grikurov, M. A. Lyalinov

Saint-Petersburg State University
Full-text PDF (230 kB) Citations (3)
References:
Abstract: This paper reports the recent advance in applications of the Sommerfeld–Malyuzhinets technique to the diffraction problem of a surface wave by an angular break of a thin material slab. The solution is represented by the Sommerfeld intergrals which are then substituted into the boundary conditions. The unknown spectral functions satisfy coupled Malyuzhinets functional equations. The latter are then reduced to the Fredholm second kind integral equations which are solved numerically. The scattering diagram of the cylindrical wave arising from the edge of the structure is computed. Bibl. – 3 titles, fig. – 3.
Received: 24.03.2008
English version:
Journal of Mathematical Sciences (New York), 2008, Volume 155, Issue 3, Pages 390–396
DOI: https://doi.org/10.1007/s10958-008-9224-y
Bibliographic databases:
UDC: 517
Language: Russian
Citation: V. È. Grikurov, M. A. Lyalinov, “Diffraction of an $H$-polarized surface wave by an abgular break of a thin dielectric slab”, Mathematical problems in the theory of wave propagation. Part 37, Zap. Nauchn. Sem. POMI, 354, POMI, St. Petersburg, 2008, 100–111; J. Math. Sci. (N. Y.), 155:3 (2008), 390–396
Citation in format AMSBIB
\Bibitem{GriLya08}
\by V.~\`E.~Grikurov, M.~A.~Lyalinov
\paper Diffraction of an $H$-polarized surface wave by an abgular break of a~thin dielectric slab
\inbook Mathematical problems in the theory of wave propagation. Part~37
\serial Zap. Nauchn. Sem. POMI
\yr 2008
\vol 354
\pages 100--111
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1646}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2008
\vol 155
\issue 3
\pages 390--396
\crossref{https://doi.org/10.1007/s10958-008-9224-y}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-56749170533}
Linking options:
  • https://www.mathnet.ru/eng/znsl1646
  • https://www.mathnet.ru/eng/znsl/v354/p100
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:168
    Full-text PDF :60
    References:24
     
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