Asymptotic expansions of resonances for waveguides coupled through converging windows

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

Čelâbinskij fiziko-matematičeskij žurnal, Tome 8 (2023) no. 1, pp. 72-82

Résumé

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.

Détail

Keywords: resonance, asymptotics, coupled waveguides, scattering, low-dimensional system.

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