TY - GEN
T1 - Homogenization of an array of resonators of the Helmholtz type
AU - Maurel, A.
AU - Marigo, J. J.
AU - Mercier, J. F.
N1 - Publisher Copyright:
© 2017 IEEE.
PY - 2017/11/14
Y1 - 2017/11/14
N2 - 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.
AB - 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.
UR - https://www.scopus.com/pages/publications/85040529933
U2 - 10.1109/MetaMaterials.2017.8107893
DO - 10.1109/MetaMaterials.2017.8107893
M3 - Conference contribution
AN - SCOPUS:85040529933
T3 - 2017 11th International Congress on Engineered Material Platforms for Novel Wave Phenomena, Metamaterials 2017
SP - 208
EP - 210
BT - 2017 11th International Congress on Engineered Material Platforms for Novel Wave Phenomena, Metamaterials 2017
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 11th International Congress on Engineered Material Platforms for Novel Wave Phenomena, Metamaterials 2017
Y2 - 28 August 2017 through 2 September 2017
ER -