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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 9, Pages 1675–1681 (Mi zvmmf417)  
This article is cited in 3 scientific papers (total in 3 papers)

Computation of paraxial wave fields using transparent boundary conditions

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: The parabolic wave equation is solved numerically by applying transparent conditions used to confine the computational domain. A numerical implementation of the boundary conditions is proposed based on representing the incident wave as a superposition of Gaussian beams. A modification of the transparent conditions in the case of dielectric objects extending beyond the computational domain is described. Numerical examples are presented.
Key words: parabolic equation method, transparent boundary condition, Gaussian beam, diffraction theory.
Received: 05.12.2005
Revised: 10.03.2006
English version:
Computational Mathematics and Mathematical Physics, 2006, Volume 46, Issue 9, Pages 1595–1600
DOI: https://doi.org/10.1134/S0965542506090107
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: A. V. Popov, “Computation of paraxial wave fields using transparent boundary conditions”, Zh. Vychisl. Mat. Mat. Fiz., 46:9 (2006), 1675–1681; Comput. Math. Math. Phys., 46:9 (2006), 1595–1600
Citation in format AMSBIB
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\by A.~V.~Popov
\paper Computation of paraxial wave fields using transparent boundary conditions
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2006
\vol 46
\issue 9
\pages 1675--1681
\mathnet{http://mi.mathnet.ru/zvmmf417}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2287665}
\transl
\jour Comput. Math. Math. Phys.
\yr 2006
\vol 46
\issue 9
\pages 1595--1600
\crossref{https://doi.org/10.1134/S0965542506090107}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33749029245}
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    • 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
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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