Acoustic passive cloaking using thin outer resonators - Centre de mathématiques appliquées (CMAP) Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2021

Acoustic passive cloaking using thin outer resonators

Résumé

We consider the propagation of acoustic waves in a 2D waveguide unbounded in one direction and containing a compact obstacle. The wavenumber is fixed so that only one mode can propagate. The goal of this work is to propose a method to cloak the obstacle. More precisely, we add to the geometry thin outer resonators of width ε and we explain how to choose their positions as well as their lengths to get a transmission coefficient approximately equal to one as if there were no obstacle. In the process we also investigate several related problems. In particular, we explain how to get zero transmission and how to design phase shifters. The approach is based on asymptotic analysis in presence of thin resonators. An essential point is that we work around resonance lengths of the resonators. This allows us to obtain effects of order one with geometrical perturbations of width ε. Various numerical experiments illustrate the theory.
Fichier principal
Vignette du fichier
ChHeNa.pdf (2.05 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03216053 , version 1 (03-05-2021)
hal-03216053 , version 2 (16-01-2023)

Identifiants

  • HAL Id : hal-03216053 , version 1

Citer

Lucas Chesnel, Jérémy Heleine, Sergei A Nazarov. Acoustic passive cloaking using thin outer resonators. 2021. ⟨hal-03216053v1⟩
98 Consultations
262 Téléchargements

Partager

Gmail Facebook X LinkedIn More