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Homogenization of an array of resonators of the Helmholtz type

  • ESPCI
  • Department of Mechanics École Polytechnique

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2 Citations (Scopus)

Résumé

We present a homogenization method based on two scale matched asymptotic expansion techniques for arrays of Helmholtz resonators. In the resulting effective model, the array is replaced by a homogeneous and anisotropic medium accounting for the cavities of the resonators while jump conditions apply across a fictitious interface accounting for the necks of the resonators. We show that the model is able to describe accurately resonators open with necks at both extremities (termed two-sided) or open at a single extremity (termed one-sided). In these two cases, the effect of the array spacing is exemplified, which allows (i) to tune the resonance of perfect transmission in the former case and (ii) to realize perfect absorption in the later case.

langue originaleAnglais
titre2017 11th International Congress on Engineered Material Platforms for Novel Wave Phenomena, Metamaterials 2017
EditeurInstitute of Electrical and Electronics Engineers Inc.
Pages208-210
Nombre de pages3
ISBN (Electronique)9781538637685
Les DOIs
étatPublié - 14 nov. 2017
Evénement11th International Congress on Engineered Material Platforms for Novel Wave Phenomena, Metamaterials 2017 - Marseille, France
Durée: 28 août 20172 sept. 2017

Série de publications

Nom2017 11th International Congress on Engineered Material Platforms for Novel Wave Phenomena, Metamaterials 2017

Une conférence

Une conférence11th International Congress on Engineered Material Platforms for Novel Wave Phenomena, Metamaterials 2017
Pays/TerritoireFrance
La villeMarseille
période28/08/172/09/17

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