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Trapped modes in a circular cylindrical acoustic waveguide

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Publication:3984338
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DOI10.1098/rspa.1991.0162zbMath0773.35016OpenAlexW2103737909MaRDI QIDQ3984338

F. Ursell

Publication date: 27 June 1992

Published in: Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1991.0162


zbMATH Keywords

Helmholtz equationcharacteristic relationradius of the spherewavenumber of the mode


Mathematics Subject Classification ID

Series solutions to PDEs (35C10) Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)


Related Items (6)

Bound states in coupled guides. II. Three dimensions ⋮ Water wave trapping in a long array of bottomless circular cylinders ⋮ Eigenvalues and bands imbedded in the continuous spectrum for a system of resonators and a waveguide: Solvable model ⋮ Trapped modes in a wave guide with a circular cylinder ⋮ One- and two-dimensional lattice sums for the three-dimensional Helmholtz equation ⋮ On the acoustic trapped modes and their symmetry properties in a circular cylindrical waveguide with a cavity




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