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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
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.
Received: 11.07.2022 Revised: 12.01.2023
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
Linking options:
https://www.mathnet.ru/eng/chfmj311 https://www.mathnet.ru/eng/chfmj/v8/i1/p72
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Abstract page: | 43 | Full-text PDF : | 14 | References: | 6 |
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