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Funktsional. Anal. i Prilozhen., 2015, Volume 49, Issue 1, Pages 93–96 (Mi faa3175)  

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

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


DOI: https://doi.org/10.4213/faa3175

Full text: PDF file (154 kB)
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English version:
Functional Analysis and Its Applications, 2015, 49:1, 77–80

Bibliographic databases:

UDC: 517.958+621.372.8
Received: 10.10.2014

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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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Korolkov A.I. Nazarov S.A. Shanin A.V., “Stabilizing solutions at thresholds of the continuous spectrum and anomalous transmission of waves”, ZAMM-Z. Angew. Math. Mech., 96:10 (2016), 1245–1260  crossref  mathscinet  isi  scopus
    2. S. A. Nazarov, “The asymptotic behaviour of the scattering matrix in a neighbourhood of the endpoints of a spectral gap”, Sb. Math., 208:1 (2017), 103–156  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
  • Функциональный анализ и его приложения Functional Analysis and Its Applications
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