Asymptotics of resonant states for two-dimensional waveguides connected by converging apertures

Title	Asymptotics of resonant states for two-dimensional waveguides connected by converging apertures
Authors	T. S. Yurova¹, I. Y. Popov¹ ¹ITMO University
Annotation	Two-dimensional waveguides coupled through small converging windows are considered. The first terms of the asymptotic expansion of resonances for the case of Dirichlet boundary conditions are obtained and investigated. The method of matching asymptotic expansions of solutions of boundary value problems is used.
Keywords	resonance, Green's function asymptotics, coupled waveguides.
Citation	Yurova T. S., Popov I. Y. ''Asymptotics of resonant states for two-dimensional waveguides connected by converging apertures'' [Electronic resource]. Mathematical modeling, numerical methods, and software systems: Collection of materials from the 12th All‑Russian Scientific Youth School‑Seminar named after E. V. Voskresensky (Saransk, July 21–24, 2026). - pp. 246-251. Available at: https://conf.svmo.ru/files/2026/papers/paper116.pdf. - Date of access: 25.09.2026.