Disorder persistent transparency within the bandgap of a periodic array of acoustic Helmholtz resonators

In this paper, the influence of disorder on 1D periodic lattice of resonant scatterers is inspected. These latter have multiple resonance frequencies which produce band gaps in the transmission spectrum. One peculiarity of the presented system is that it is chosen with a nearly perfect overlap betwe...

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Bibliographic Details
Published in:Journal of applied physics 2015-03, Vol.117 (10)
Main Authors: Richoux, O., Maurel, A., Pagneux, V.
Format: Article
Language:English
Subjects:
Applied physics
Computer simulation
Energy gap
Engineering Sciences
Helmholtz resonators
Physics
Robustness (mathematics)
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Summary:In this paper, the influence of disorder on 1D periodic lattice of resonant scatterers is inspected. These latter have multiple resonance frequencies which produce band gaps in the transmission spectrum. One peculiarity of the presented system is that it is chosen with a nearly perfect overlap between the Bragg and the second hybridization band gaps. In the case of a perfectly ordered lattice, and around this overlap, this produces a narrow transparency band within a large second bandgap. As expected, the effect of the disorder is generally to increase the width of the band gaps. Nevertheless, the transparency band appears to be robust with respect to an increase in the disorder. In this paper, we study this effect by means of experimental investigations and numerical simulations.
ISSN:0021-8979
1089-7550
DOI:10.1063/1.4914184