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Matem. Mod., 2015, Volume 27, Number 8, Pages 3–12 (Mi mm3634)  

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

New conception of the discrete sources method in the electromagnetic scattering problems

N. V. Grishinaa, Yu. A. Ereminb, A. G. Sveshnikova

a Lomonosov Moscow State University, Faculty of Physics
b Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics

Abstract: New concept of the Discrete Sources Method enabling to investigate penetrable scatterers with high size parameters has been suggested and realized. It has been shown that Total Scattering Cross-Section can be calculated analytically based on the discrete sourced amplitudes. Numerical results demonstrating the essential challenge of the new conception compared to the conventional one have been presented.

Keywords: electromagnetic waves scattering, penetrable particles with high size parameter, Discrete Sources Method, numerical scheme.

Full text: PDF file (436 kB)
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English version:
Mathematical Models and Computer Simulations, 2016, 8:2, 175–182

Bibliographic databases:

Document Type: Article
UDC: 535.36; 535.42
Received: 16.09.2014

Citation: N. V. Grishina, Yu. A. Eremin, A. G. Sveshnikov, “New conception of the discrete sources method in the electromagnetic scattering problems”, Matem. Mod., 27:8 (2015), 3–12; Math. Models Comput. Simul., 8:2 (2016), 175–182

Citation in format AMSBIB
\Bibitem{GriEreSve15}
\by N.~V.~Grishina, Yu.~A.~Eremin, A.~G.~Sveshnikov
\paper New conception of the discrete sources method in the electromagnetic scattering problems
\jour Matem. Mod.
\yr 2015
\vol 27
\issue 8
\pages 3--12
\mathnet{http://mi.mathnet.ru/mm3634}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3545178}
\elib{http://elibrary.ru/item.asp?id=24850082}
\transl
\jour Math. Models Comput. Simul.
\yr 2016
\vol 8
\issue 2
\pages 175--182
\crossref{https://doi.org/10.1134/S2070048216020071}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84962643074}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Yu. A. Eremin, A. G. Sveshnikov, “Near field formation via colloid particles in the problems of silicon substrates nanoprocessing”, Math. Models Comput. Simul., 10:1 (2018), 36–44  mathnet  crossref  elib
    2. Yu. A. Eremin, A. G. Sveshnikov, “Vliyanie effekta nelokalnosti na rasseivayuschie svoistva nesfericheskikh plazmonnykh nanochastits na podlozhke”, Matem. modelirovanie, 30:4 (2018), 121–138  mathnet  elib
  • Математическое моделирование
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