Obstacles in acoustic waveguides becoming "invisible" at given frequencies

Anne-Sophie Bonnet-Ben Dhia; Sergei Nazarov

doi:10.1134/S1063771013050047

Journal articles

Obstacles in acoustic waveguides becoming "invisible" at given frequencies

Anne-Sophie Bonnet-Ben Dhia ¹ Sergei Nazarov ²

1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation

Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231

2 IPME - Institute of Mechanical Engineering Problems [St. Petersburg]

Abstract : We prove the existence of gently sloping perturbations of walls of an acoustic two-dimensional waveguide, for which several waves at given frequencies pass by the created obstacle without any distortion or with only a phase shift.

Document type :

Journal articles

Domain :

Mathematics [math] / Analysis of PDEs [math.AP]

Computer Science [cs] / Modeling and Simulation

Mathematics [math] / Numerical Analysis [math.NA]

Mathematics [math] / Mathematical Physics [math-ph]

Mathematics [math] / Optimization and Control [math.OC]

Mathematics [math] / Spectral Theory [math.SP]

Complete list of metadata

https://hal.inria.fr/hal-00937689
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Submitted on : Tuesday, January 28, 2014 - 5:06:38 PM
Last modification on : Wednesday, May 11, 2022 - 12:06:04 PM

Obstacles in acoustic waveguides becoming "invisible" at given frequencies

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Obstacles in acoustic waveguides becoming "invisible" at given frequencies

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