Abnormal acoustic transmission in a waveguide with perforated screens

Lucas Chesnel; Sergei A. Nazarov

doi:10.5802/crmeca.70

Short paper

Abnormal acoustic transmission in a waveguide with perforated screens

Lucas Chesnel ¹ ; Sergei A. Nazarov ²

¹ INRIA/Centre de mathématiques appliquées, École Polytechnique, Institut Polytechnique de Paris, Route de Saclay, 91128 Palaiseau, France
² St. Petersburg State University, Universitetskaya naberezhnaya, 7-9, 199034, St. Petersburg, Russia

Comptes Rendus. Mécanique, Volume 349 (2021) no. 1, pp. 9-19.

Abstract

We consider the propagation of the piston mode in an acoustic waveguide obstructed by two screens with small holes. In general, due to the features of the geometry, almost no energy of the incident wave is transmitted through the structure. The goal of this article is to show that by tuning carefully the distance between the two screens, which form a resonator, one can get almost complete transmission. We obtain an explicit criterion, not so obvious to intuit, for this phenomenon to happen. Numerical experiments illustrate the analysis.

Received: 2020-07-26
Revised: 2020-11-04
Accepted: 2021-01-08
Published online: 2021-02-05

DOI: 10.5802/crmeca.70

Keywords: Waveguides, Perforated screens, Asymptotic analysis, Abnormal transmission, Resonator

Author's affiliations:

Lucas Chesnel ¹; Sergei A. Nazarov ²

¹ INRIA/Centre de mathématiques appliquées, École Polytechnique, Institut Polytechnique de Paris, Route de Saclay, 91128 Palaiseau, France
² St. Petersburg State University, Universitetskaya naberezhnaya, 7-9, 199034, St. Petersburg, Russia

License:

CC-BY 4.0

Copyrights: The authors retain unrestricted copyrights and publishing rights

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     title = {Abnormal acoustic transmission in a waveguide with perforated screens},
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     year = {2021},
     doi = {10.5802/crmeca.70},
     language = {en},
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Lucas Chesnel; Sergei A. Nazarov. Abnormal acoustic transmission in a waveguide with perforated screens. Comptes Rendus. Mécanique, Volume 349 (2021) no. 1, pp. 9-19. doi : 10.5802/crmeca.70. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.70/

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