Geodesic
Asymptotic expansions of resonances for waveguides coupled through converging windows
Čelâbinskij fiziko-matematičeskij žurnal, Tome 8 (2023) no. 1, pp. 72-82

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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. 
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     author = {E. S. Trifanova and A. S. Bagmutov and V. G. Katasonov and I. Yu. Popov},
     title = {Asymptotic expansions of resonances for waveguides coupled through converging windows},
     journal = {\v{C}el\^abinskij fiziko-matemati\v{c}eskij \v{z}urnal},
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     publisher = {mathdoc},
     volume = {8},
     number = {1},
     year = {2023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CHFMJ_2023_8_1_a5/}
}
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E. S. Trifanova; A. S. Bagmutov; V. G. Katasonov; I. Yu. Popov. Asymptotic expansions of resonances for waveguides coupled through converging windows. Čelâbinskij fiziko-matematičeskij žurnal, Tome 8 (2023) no. 1, pp. 72-82. http://geodesic.mathdoc.fr/item/CHFMJ_2023_8_1_a5/