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Funktsional'nyi Analiz i ego Prilozheniya, 2015, Volume 49, Issue 1, Pages 93–96
DOI: https://doi.org/10.4213/faa3175 (Mi faa3175) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Brief communications

On Computation of Waveguide Scattering Matrices for the Maxwell System

B. A. Plamenevskiia, A. S. Poretskiiab, O. V. Sarafanova

a St. Petersburg State University, Faculty of Physics
b University of Jyväskylä
Full-text PDF (154 kB) Citations (6)
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DOI: https://doi.org/10.4213/faa3175
Abstract: The Maxwell system is considered in a waveguide with perfectly conducting boundary having several cylindrical outlets to infinity. A minimizer of a quadratic functional serves as an approximation to a row of the scattering matrix. To construct such a functional, we solve an auxiliary boundary value problem in the bounded domain obtained by cutting off, at a distance $R$, the waveguide outlets to infinity. As $R$ tends to infinity, the minimizer $a(R, k)$ tends at exponential rate to the corresponding row of the scattering matrix.
Keywords: truncated waveguide, quadratic functional, minimizer, exponential convergence.
Funding agency Grant number
Saint Petersburg State University 11.38.666.2013
Russian Foundation for Basic Research 12-01-00247а
Received: 10.10.2014
English version:
Functional Analysis and Its Applications, 2015, Volume 49, Issue 1, Pages 77–80
DOI: https://doi.org/10.1007/s10688-015-0088-x
Bibliographic databases:
Document Type: Article
UDC: 517.958+621.372.8
Language: Russian
Citation: B. A. Plamenevskii, A. S. Poretskii, O. V. Sarafanov, “On Computation of Waveguide Scattering Matrices for the Maxwell System”, Funktsional. Anal. i Prilozhen., 49:1 (2015), 93–96; Funct. Anal. Appl., 49:1 (2015), 77–80
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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