Trapped modes in acoustic waveguides

DOI10.1093/qjmam/51.3.477zbMath0908.76083OpenAlexW2094406784MaRDI QIDQ4208669

Publication date: 18 March 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/51.3.477

zbMATH Keywords

eigenvalue problem Neumann boundary conditions Laplacian thin obstacle two-dimensional cylinder symmetric obstacle

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (42)

Asymptotics for a resonance-counting function for potential scattering on cylinders ⋮ Fano resonances in acoustics ⋮ From zero transmission to trapped modes in waveguides ⋮ Isobath variation and trapping of continental shelf waves ⋮ 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 ⋮ A quantum waveguide with Aharonov–Bohm magnetic field ⋮ Trapped modes and reflectionless modes as eigenfunctions of the same spectral problem ⋮ Analysis of the non-reflecting boundary condition for the time-harmonic electromagnetic wave propagation in waveguides ⋮ Bound states in straight quantum waveguides with combined boundary conditions ⋮ Bound states in coupled guides. I. Two dimensions ⋮ Bound states in coupled guides. II. Three dimensions ⋮ A Dirichlet-to-Neumann approach to the mathematical and numerical analysis in waveguides with periodic outlets at infinity ⋮ Invisibility and Perfect Reflectivity in Waveguides with Finite Length Branches ⋮ 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 ⋮ Exact zero transmission during the Fano resonance phenomenon in non-symmetric waveguides ⋮ On the vanishing electron-mass limit in plasma hydrodynamics in unbounded media ⋮ Water wave trapping in a long array of bottomless circular cylinders ⋮ Commonality and difference in the eigenfunctions of various types of acoustic trapped modes ⋮ Lifshitz tails for acoustic waves in random quantum waveguide ⋮ Embedded Rayleigh-Bloch surface waves along periodic rectangular arrays ⋮ Embedded trapped modes in water waves and acoustics ⋮ Edge resonance in an elastic semi-infinite cylinder ⋮ Spectral Confonning Model and Its Application ⋮ Waveguides with combined Dirichlet and Robin boundary conditions ⋮ Resonance scattering in a waveguide with identical thick perforated barriers ⋮ On the discrete spectrum of a spatial quantum waveguide with a disc window ⋮ Vibration of a membrane strip with a segment of higher density: analysis of trapped modes ⋮ Open quantum dots: Resonances from perturbed symmetry and bound states in strong magnetic fields ⋮ Forward and inverse scattering on manifolds with asymptotically cylindrical ends ⋮ Trapped edge waves in stratified rotating fluids: numerical and asymptotic results ⋮ Separation of variables in deformed cylinders ⋮ Computation of scattering matrices and their derivatives for waveguides ⋮ Trapped continental shelf waves with a free surface ⋮ Trapped modes in a waveguide with a thick obstacle ⋮ Error analysis of PML-FEM approximations for the Helmholtz equation in waveguides ⋮ Trapped modes in an elastic plate with a hole ⋮ Application of a complete radiation boundary condition for the Helmholtz equation in locally perturbed waveguides ⋮ On the spectrum of curved planar waveguides ⋮ Manifolds with cylindrical ends having a finite and positive number of embedded eigenvalues ⋮ Spectral properties of soft quantum waveguides

This page was built for publication: Trapped modes in acoustic waveguides