Trapped modes in cylindrical waveguides

DOI10.1093/qjmam/51.3.389zbMath0909.76092OpenAlexW2070624179MaRDI QIDQ4208664

Chris M. Linton, M. McIver

Publication date: 7 April 1999

Published in: The Quarterly Journal of Mechanics and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qjmam/51.3.389

zbMATH Keywords

residue calculus methodthin obstaclecircular guideaxisymmetric obstacleexistence of trapped modesinfinite sequence of trapped modes

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (12)

Trapped modes and Fano resonances in two-dimensional acoustical duct–cavity systems ⋮ Trapped modes for off-centre structures in guides ⋮ 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 ⋮ Acoustic resonances and trapped modes in pipes and tunnels ⋮ Embedded trapped modes in water waves and acoustics ⋮ Acoustic resonances in the presence of radial fins in circular cylindrical waveguides. ⋮ Trapped continental shelf waves with a free surface ⋮ On the acoustic trapped modes and their symmetry properties in a circular cylindrical waveguide with a cavity

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