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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 239, Pages 211–217 (Mi znsl457)  
This article is cited in 1 scientific paper (total in 1 paper)

Transparent boundaries for the parabolic wave equation

A. V. Popov

Institute of Terrestrial Magnetism, Ionosphere and Radio Wave Propagation
Full-text PDF (138 kB) Citations (1)
Abstract: The objective of this paper was to find an exact form of boundary conditions providing full absorption of arbitrary paraxial wave packets described by the parabolic equation. It would enable us to reduce rigorously an infinite domain to a strip or cylinder for numerical calculations. We proposed a general approach to this problem and demonstrated some practical examples.
Received: 10.10.1995
English version:
Journal of Mathematical Sciences (New York), 1999, Volume 96, Issue 4, Pages 3415–3418
DOI: https://doi.org/10.1007/BF02172819
Bibliographic databases:
UDC: 519.6+533.7
Language: Russian
Citation: A. V. Popov, “Transparent boundaries for the parabolic wave equation”, Mathematical problems in the theory of wave propagation. Part 26, Zap. Nauchn. Sem. POMI, 239, POMI, St. Petersburg, 1997, 211–217; J. Math. Sci. (New York), 96:4 (1999), 3415–3418
Citation in format AMSBIB
\Bibitem{Pop97}
\by A.~V.~Popov
\paper Transparent boundaries for the parabolic wave equation
\inbook Mathematical problems in the theory of wave propagation. Part~26
\serial Zap. Nauchn. Sem. POMI
\yr 1997
\vol 239
\pages 211--217
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl457}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1700650}
\zmath{https://zbmath.org/?q=an:0939.78005}
\transl
\jour J. Math. Sci. (New York)
\yr 1999
\vol 96
\issue 4
\pages 3415--3418
\crossref{https://doi.org/10.1007/BF02172819}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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