Transmission and Trapping of Waves in an Acoustic Waveguide with Perforated Cross-Walls

Trapping and transmission of waves through an acoustic waveguide with a set of perforated cross-walls are studied. Eigenvalues of the corresponding spectral Neumann problem for the Laplace operator are found under geometric symmetry conditions. Almost complete transmission of the piston wave through...

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Bibliographic Details
Published in:Fluid dynamics 2021-12, Vol.56 (8), p.1070-1093
Main Authors: Nazarov, S. A., Chesnel, L.
Format: Article
Language:English
Subjects:
Acoustic waveguides
Classical and Continuum Physics
Classical Mechanics
Eigenvalues
Electromagnetic wave filters
Engineering Fluid Dynamics
Fluid- and Aerodynamics
Neumann problem
Physics
Physics and Astronomy
Pinholes
Trapping
Walls
Waveguides
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Summary:Trapping and transmission of waves through an acoustic waveguide with a set of perforated cross-walls are studied. Eigenvalues of the corresponding spectral Neumann problem for the Laplace operator are found under geometric symmetry conditions. Almost complete transmission of the piston wave through a system of small holes (an inverted Weinstein anomaly) is achieved by fine tuning of the distance between the cross-walls with a diverse configuration of the connecting holes. A criterion for the possibility of this anomaly is obtained. Related topics—in particular, primitive wave filters and the pinhole-camera effect—are discussed.
ISSN:0015-4628
1573-8507
DOI:10.1134/S0015462821080085