Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

Acoustic passive cloaking using thin outer resonators

Abstract : 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.
Document type :
Preprints, Working Papers, ...
Complete list of metadata

https://hal.archives-ouvertes.fr/hal-03216053
Contributor : Lucas Chesnel <>
Submitted on : Monday, May 3, 2021 - 4:53:15 PM
Last modification on : Wednesday, May 5, 2021 - 3:38:15 AM

File

ChHeNa.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-03216053, version 1

Citation

Lucas Chesnel, Jérémy Heleine, Sergei Nazarov. Acoustic passive cloaking using thin outer resonators. 2021. ⟨hal-03216053⟩

Share

Metrics

Record views

23

Files downloads

5