On the acoustic trapped modes and their symmetry properties in a circular cylindrical waveguide with a cavity

DOI10.1007/S10665-021-10126-2zbMath1500.35239OpenAlexW3164633232MaRDI QIDQ2061050

Masami Nakano, Mikael Langthjem

Publication date: 13 December 2021

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10665-021-10126-2

zbMATH Keywords

acousticslocalized modesexpansion chambermode alternation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Hydro- and aero-acoustics (76Q05) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (1)

Driven oscillating nonlinear acoustic waves

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Trapped modes in topographically varying elastic waveguides
• Trapped modes in elastic plates, ocean and quantum waveguides
• Wave localization in hydroelastic systems
• Coupled mode theory for acoustic resonators
• Bound states in the continuum in open acoustic resonators
• Trapped modes and Fano resonances in two-dimensional acoustical duct–cavity systems
• Fano resonances in acoustics
• Examples of embedded eigenvalues for the Dirichlet-Laplacian in domains with infinite boundaries
• Trapped modes in open channels
• Complex resonances and trapped modes in ducted domains
• Acoustic resonances and trapped modes in pipes and tunnels
• Mathematical aspects of trapping modes in the theory of surface waves
• Trapped modes in two-dimensional waveguides
• Trapped modes in a circular cylindrical acoustic waveguide
• Trapped modes in cylindrical waveguides
• Trapped modes embedded in the continuous spectrum
• Acoustic Resonance in Ducts
• TRAPPED MODE FREQUENCIES EMBEDDED IN THE CONTINUOUS SPECTRUM
• Existence theorems for trapped modes
• On the Gibbs Phenomenon and Its Resolution
• Trapped modes in a waveguide with a long obstacle
• Trapped modes of the Helmholtz equation in infinite waveguides with wall indentations and circular obstacles
• Acoustic trapped modes in a three-dimensional waveguide of slowly varying cross section
• Trapped modes in curved elastic plates
• Localized mode of sound in a waveguide with Helmholtz resonators

This page was built for publication: On the acoustic trapped modes and their symmetry properties in a circular cylindrical waveguide with a cavity