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Zapiski Nauchnykh Seminarov POMI, 1992, Volume 203, Pages 17–20 (Mi znsl5769)  
This article is cited in 1 scientific paper (total in 1 paper)

The construction of Gaussian beams satisfying to the wave equation with exponential exactness

V. M. Babich
Full-text PDF (211 kB) Citations (1)
Abstract: A function $V$ having Gaussian beam asymptotic (the frequency $\omega\to+\infty$) is obtained. The expression $(\Delta+\frac{\omega^2}{c^2(x)})V$ is exponentialy small in the the neighbourhood of axial ray of Gaussian beam. The velocity $c(x)$ is analitical.
English version:
Journal of Mathematical Sciences, 1996, Volume 79, Issue 4, Pages 1169–1171
DOI: https://doi.org/10.1007/BF02362882
Bibliographic databases:
Document Type: Article
UDC: 534.231
Language: Russian
Citation: V. M. Babich, “The construction of Gaussian beams satisfying to the wave equation with exponential exactness”, Mathematical problems in the theory of wave propagation. Part 22, Zap. Nauchn. Sem. POMI, 203, Nauka, St. Petersburg, 1992, 17–20; J. Math. Sci., 79:4 (1996), 1169–1171
Citation in format AMSBIB
\Bibitem{Bab92}
\by V.~M.~Babich
\paper The construction of Gaussian beams satisfying to the wave equation with exponential exactness
\inbook Mathematical problems in the theory of wave propagation. Part~22
\serial Zap. Nauchn. Sem. POMI
\yr 1992
\vol 203
\pages 17--20
\publ Nauka
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5769}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1193676}
\zmath{https://zbmath.org/?q=an:0856.35032}
\transl
\jour J. Math. Sci.
\yr 1996
\vol 79
\issue 4
\pages 1169--1171
\crossref{https://doi.org/10.1007/BF02362882}
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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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