Trapped modes in a waveguide with a thick obstacle

DOI10.1112/S0025579300015606zbMath1180.35184arXivmath/0111103MaRDI QIDQ5479486

Helen Hawkins, Leonid Parnovski

Publication date: 10 July 2006

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0111103

zbMATH Keywords

spectral propertiesNeumann Laplacianperturbed waveguide

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (1)

Computation of scattering matrices and their derivatives for waveguides

Cites Work

• Asymptotics of bound state for laterally coupled waveguides.
• Examples of embedded eigenvalues for the Dirichlet-Laplacian in domains with infinite boundaries
• Trapped modes in acoustic waveguides
• Existence theorems for trapped modes
• Trapped modes in a waveguide with a long obstacle
• Geometric coupling thresholds in a two-dimensional strip
• SPECTRAL ASYMPTOTICS OF THE LAPLACE OPERATOR ON MANIFOLDS WITH CYLINDRICAL ENDS

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