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Matematicheskoe modelirovanie, 2011, Volume 23, Number 8, Pages 55–64 (Mi mm3142)  

This article is cited in 2 scientific papers (total in 2 papers)

Optimal parameters of perfectly-matched layer for nanophotonics problems

A. V. Zakirov, V. D. Levchenko

Keldysh Institute of Applied Mathematics RAS
Full-text PDF (396 kB) Citations (2)
References:
Abstract: In the solution of evolutionary problems in electrodynamics numerical method FDTD with PML boundary conditions inevitably arise reflection of electromagnetic waves from the boundaries. The nature and magnitude of these reflections depend on many parameters. We demonstrated the method of calculating the coefficient of reflection for the one-dimensional case. A comparison with the real three-dimensional numerical experiments shows the high accuracy of the calculated theoretical reflection. On this basis, a method for selecting optimal parameters of the perfectly-matched layer proposed.
Keywords: Maxwell equations, FDTD (Finite Difference Time Domain), PML (Perfectly Matched Layer), numerical boundary refraction index.
Received: 14.03.2011
English version:
Mathematical Models and Computer Simulations, 2012, Volume 4, Issue 2, Pages 155–162
DOI: https://doi.org/10.1134/S2070048212020159
Bibliographic databases:
Document Type: Article
UDC: 519.633.2
Language: Russian
Citation: A. V. Zakirov, V. D. Levchenko, “Optimal parameters of perfectly-matched layer for nanophotonics problems”, Matem. Mod., 23:8 (2011), 55–64; Math. Models Comput. Simul., 4:2 (2012), 155–162
Citation in format AMSBIB
\Bibitem{ZakLev11}
\by A.~V.~Zakirov, V.~D.~Levchenko
\paper Optimal parameters of perfectly-matched layer for nanophotonics problems
\jour Matem. Mod.
\yr 2011
\vol 23
\issue 8
\pages 55--64
\mathnet{http://mi.mathnet.ru/mm3142}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2896182}
\transl
\jour Math. Models Comput. Simul.
\yr 2012
\vol 4
\issue 2
\pages 155--162
\crossref{https://doi.org/10.1134/S2070048212020159}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84928983341}
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  • https://www.mathnet.ru/eng/mm/v23/i8/p55
  • 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
    Математическое моделирование
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    Abstract page:485
    Full-text PDF :198
    References:30
    First page:8
     
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