Asymptotics of an eigenvalue on the continuous spectrum of two quantum waveguides coupled through narrow windows

DOI10.1134/S000143461301029XOpenAlexW1984156265MaRDI QIDQ1947795

Sergueï A. Nazarov

Publication date: 26 April 2013

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s000143461301029x

zbMATH Keywords

Laplace operatorDirichlet boundary conditionNeumann boundary conditionHelmholtz equationaugmented scattering matrixWood's anomaliesplanar waveguidewindow-coupled quantum waveguides

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Asymptotic distributions of eigenvalues in context of PDEs (35P20)

Related Items (6)

On local perturbations of waveguides ⋮ Transmission of waves through a small aperture in the cross-wall in an acoustic waveguide ⋮ Perturbation of threshold of essential spectrum for waveguides with windows. II: Asymptotics ⋮ Almost standing waves in a periodic waveguide with resonator, and near-threshold eigenvalues ⋮ Embedded eigenvalues of the Neumann problem in a strip with a box-shaped perturbation ⋮ Perturbation of threshold of essential spectrum for waveguides with windows. I: Decreasing resonance solutions

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