Abnormal acoustic transmission in a waveguide with perforated screens

Lucas Chesnel (1, 2) , Sergei Nazarov (3)

1 IDEFIX - Inversion of Differential Equations For Imaging and physiX
2 CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique
3 SPbU - St Petersburg State University

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 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.

Mots clés: abnormal transmission; asymptotic analysis; perforated screens; waveguides

Domaines: Equations aux dérivées partielles [math.AP]

Lucas Chesnel, Sergei Nazarov. Abnormal acoustic transmission in a waveguide with perforated screens. Comptes Rendus. Mécanique, 2021, ⟨10.5802/crmeca.70⟩. ⟨hal-02907039⟩