Examples of embedded eigenvalues for problems in acoustic waveguides

DOI<479::AID-MMA950>3.0.CO;2-V 10.1002/(SICI)1099-1476(199804)21:6<479::AID-MMA950>3.0.CO;2-VzbMath0908.35084OpenAlexW1970537383MaRDI QIDQ4213562

Mark D. Groves

Publication date: 4 March 1999

Full work available at URL: https://doi.org/10.1002/(sici)1099-1476(199804)21:6<479::aid-mma950>3.0.co;2-v

zbMATH Keywords

Neumann Laplaciancompact obstacle

Mathematics Subject Classification ID

Related Items (12)

Trapped modes for off-centre structures in guides ⋮ Rotational acoustic resonances in cylindrical waveguides ⋮ A Sufficient Condition for the Absence of Two-Dimensional Instabilities of an Elastic Plate in a Duct with Compressible Flow ⋮ Bound states in coupled guides. I. Two dimensions ⋮ Bound states in coupled guides. II. Three dimensions ⋮ Acoustics of a Partially Partitioned Narrow Slit Connected to a Half-Plane: Case Study for Exponential Quasi-Bound States in the Continuum and their Resonant Excitation ⋮ Water wave trapping in a long array of bottomless circular cylinders ⋮ Commonality and difference in the eigenfunctions of various types of acoustic trapped modes ⋮ Embedded Rayleigh-Bloch surface waves along periodic rectangular arrays ⋮ Embedded trapped modes in water waves and acoustics ⋮ Bound states in the continuum in elasticity ⋮ Acoustic resonances in the presence of radial fins in circular cylindrical waveguides.

Cites Work

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• TRAPPED MODE FREQUENCIES EMBEDDED IN THE CONTINUOUS SPECTRUM
• Existence theorems for trapped modes
• The principle of limiting absorption
• Eigenfunction expansions associated with the Laplacian for certain domains with infinite boundaries. I

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