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Zapiski Nauchnykh Seminarov POMI, 2005, Volume 324, Pages 110–120 (Mi znsl365)  
This article is cited in 2 scientific papers (total in 2 papers)

Combined method calculating the field generated by a point source in a surface wave guide

N. Ya. Kirpichnikovaa, V. B. Philippova, S. Yu. Fadeevab

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b Saint-Petersburg State University
Full-text PDF (180 kB) Citations (2)
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Abstract: The two-dimensional problem of propagation of waves, raised by a point source, in an interior layer wave guide is investigated. The Dirichlet condition is given on the bound of the wave guide. With help of cumbersome transformation the solution is represented as a sum of the geometro-optical waves, the normal waves and the residual. The sufficient conditions for the general amount of the detached normal and geometro-optical waves are obtained. The residual is expressed by the simple formula.
Received: 18.07.2005
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 138, Issue 2, Pages 5543–5548
DOI: https://doi.org/10.1007/s10958-006-0321-5
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: N. Ya. Kirpichnikova, V. B. Philippov, S. Yu. Fadeeva, “Combined method calculating the field generated by a point source in a surface wave guide”, Mathematical problems in the theory of wave propagation. Part 34, Zap. Nauchn. Sem. POMI, 324, POMI, St. Petersburg, 2005, 110–120; J. Math. Sci. (N. Y.), 138:2 (2006), 5543–5548
Citation in format AMSBIB
\Bibitem{KirPhiFad05}
\by N.~Ya.~Kirpichnikova, V.~B.~Philippov, S.~Yu.~Fadeeva
\paper Combined method calculating the field generated by a~point source in a~surface wave guide
\inbook Mathematical problems in the theory of wave propagation. Part~34
\serial Zap. Nauchn. Sem. POMI
\yr 2005
\vol 324
\pages 110--120
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl365}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2159350}
\zmath{https://zbmath.org/?q=an:1074.78511}
\elib{https://elibrary.ru/item.asp?id=9126079}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 138
\issue 2
\pages 5543--5548
\crossref{https://doi.org/10.1007/s10958-006-0321-5}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33748560843}
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    • 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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