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Chelyabinskiy Fiziko-Matematicheskiy Zhurnal, 2023, Volume 8, Issue 1, Pages 72–82
DOI: https://doi.org/10.47475/2500-0101-2023-18106 (Mi chfmj311) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

Asymptotic expansions of resonances for waveguides coupled through converging windows

E. S. Trifanova, A. S. Bagmutov, V. G. Katasonov, I. Yu. Popov

ITMO University, St. Petersburg, Russia
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DOI: https://doi.org/10.47475/2500-0101-2023-18106
Abstract: Two-dimensional waveguides coupled through small windows are considered. First terms of the asymptotic expansion of resonances are obtained and studied for the case when the distance between the windows decreases. Method of matching of the asymptotic expansions of solutions of boundary value problems is used.
Keywords: resonance, asymptotics, coupled waveguides, scattering, low-dimensional system.
Funding agency Grant number
Russian Science Foundation 22-11-00046
The work was supported by Russian Science Foundation (grant number 22-11-00046).
Received: 11.07.2022
Revised: 12.01.2023
Bibliographic databases:
Document Type: Article
UDC: 517.955.8:517.956.2
Language: English
Citation: E. S. Trifanova, A. S. Bagmutov, V. G. Katasonov, I. Yu. Popov, “Asymptotic expansions of resonances for waveguides coupled through converging windows”, Chelyab. Fiz.-Mat. Zh., 8:1 (2023), 72–82
Citation in format AMSBIB
\Bibitem{TriBagKat23}
\by E.~S.~Trifanova, A.~S.~Bagmutov, V.~G.~Katasonov, I.~Yu.~Popov
\paper Asymptotic expansions of resonances for waveguides coupled through converging windows
\jour Chelyab. Fiz.-Mat. Zh.
\yr 2023
\vol 8
\issue 1
\pages 72--82
\mathnet{http://mi.mathnet.ru/chfmj311}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=4571398}
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    • This publication is cited in the following 1 articles:
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