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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2007, Volume 47, Number 9, Pages 1576–1590 (Mi zvmmf251)  
This article is cited in 2 scientific papers (total in 2 papers)

Physical pattern of wave emission in a wedge-shaped region: Generalization of the transverse diffusion method

S. A. Zapunidi, A. V. Popov

Institute of Terrestrial Magnetism, Ionosphere, and Radio Wave Propagation, Russian Academy of Sciences, Troitsk, Moscow oblast, 142092, Russia
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Abstract: An analysis of the rigorous solution to the problem of waves emitted by sources arbitrarily distributed along a wedge face is used to propose a generalization of the Malyuzhinets heuristic transverse diffusion method. Mathematically, the problem is reduced to the numerical solution of a parabolic equation in ray coordinates with prescribed discontinuities on the boundaries of the shadow zone of partial plane waves or with a distributed right-hand side. The physical concept of the phase synchronism of emitted and diffracted waves is stated.
Key words: diffraction theory, Sommerfeld integral, parabolic equation, ray coordinates, phase synchronism, Malyuzhinets transverse diffusion method, numerical method for parabolic equations.
Received: 02.02.2007
English version:
Computational Mathematics and Mathematical Physics, 2007, Volume 47, Issue 9, Pages 1514–1527
DOI: https://doi.org/10.1134/S0965542507090126
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: S. A. Zapunidi, A. V. Popov, “Physical pattern of wave emission in a wedge-shaped region: Generalization of the transverse diffusion method”, Zh. Vychisl. Mat. Mat. Fiz., 47:9 (2007), 1576–1590; Comput. Math. Math. Phys., 47:9 (2007), 1514–1527
Citation in format AMSBIB
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\by S.~A.~Zapunidi, A.~V.~Popov
\paper Physical pattern of wave emission in a~wedge-shaped region: Generalization of the transverse diffusion method
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2007
\vol 47
\issue 9
\pages 1576--1590
\mathnet{http://mi.mathnet.ru/zvmmf251}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2387665}
\transl
\jour Comput. Math. Math. Phys.
\yr 2007
\vol 47
\issue 9
\pages 1514--1527
\crossref{https://doi.org/10.1134/S0965542507090126}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34848899492}
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  • https://www.mathnet.ru/eng/zvmmf/v47/i9/p1576
    • 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
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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