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Matematicheskoe modelirovanie, 2013, Volume 25, Number 6, Pages 41–53 (Mi mm3372)  
This article is cited in 3 scientific papers (total in 3 papers)

Joint application of the incomplete Galerkin’s method and scattering matrix method for multilayer diffraction grating modeling

A. A. Petukhov

Lomonosov Moscow State University, Faculty of Physics, Department of Mathematics
Full-text PDF (480 kB) Citations (3)
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Abstract: A mathematical model of wave diffraction on a one-dimensional multilayer periodic grating is considered. A rigorous mathematical statement is given, where the partial radiations conditions are used for domain confinement. A complete formulation of the numerical algorithm based on a combination of the incomplete Galerkin's method and scattering matrix method is presented. The rate of convergence and computational complexity of this algorithm are analyzed and the advisable values of computational parameters are presented.
Keywords: multilayer diffraction grating, incomplete Galerkin’s method, scattering matrix method.
Received: 18.06.2012
English version:
Mathematical Models and Computer Simulations, 2014, Volume 6, Issue 1, Pages 92–100
DOI: https://doi.org/10.1134/S2070048214010128
Bibliographic databases:
Document Type: Article
UDC: 517.538.72, 541.421
Language: Russian
Citation: A. A. Petukhov, “Joint application of the incomplete Galerkin’s method and scattering matrix method for multilayer diffraction grating modeling”, Mat. Model., 25:6 (2013), 41–53; Math. Models Comput. Simul., 6:1 (2014), 92–100
Citation in format AMSBIB
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\by A.~A.~Petukhov
\paper Joint application of the incomplete Galerkin’s method and scattering matrix method for multilayer diffraction grating modeling
\jour Mat. Model.
\yr 2013
\vol 25
\issue 6
\pages 41--53
\mathnet{http://mi.mathnet.ru/mm3372}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3134793}
\transl
\jour Math. Models Comput. Simul.
\yr 2014
\vol 6
\issue 1
\pages 92--100
\crossref{https://doi.org/10.1134/S2070048214010128}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84925946131}
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  • https://www.mathnet.ru/eng/mm3372
  • https://www.mathnet.ru/eng/mm/v25/i6/p41
    • This publication is cited in the following 3 articles:
    1. D. V. Divakov, A. A. Tyutyunnik, “Symbolic Investigation of the Spectral Characteristics of Guided Modes in Smoothly Irregular Waveguides”, Program Comput Soft, 48:2 (2022), 80  crossref
    2. Divakov V D., Tiutiunnik A.A., “Symbolic Investigation of Eigenvectors For General Solution of a System of Odes With a Symbolic Coefficient Matrix”, Program. Comput. Softw., 47:1 (2021), 6–16  crossref  mathscinet  isi
    3. Dmitriy V. Divakov, Anastasiia A. Tiutiunnik, Anton L. Sevastianov, Lecture Notes in Computer Science, 12291, Computer Algebra in Scientific Computing, 2020, 228  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:480
    Full-text PDF :145
    References:73
    First page:23
     
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