Limits of slow sound propagation and transparency in lossy, locally resonant periodic structures

We investigate sound propagation in lossy, locally resonant periodic structures by studying an air-filled tube periodically loaded with Helmholtz resonators and taking into account the intrinsic viscothermal losses. In particular, by tuning the resonator with the Bragg gap in this prototypical local...

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Main Authors: G Theocharis, O Richoux, V Romero García, A Merkel, V Tournat
Format: Article
Language:English
Published: IOP Publishing 2014-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/16/9/093017
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author G Theocharis
O Richoux
V Romero García
A Merkel
V Tournat
author_facet G Theocharis
O Richoux
V Romero García
A Merkel
V Tournat
author_sort G Theocharis
collection DOAJ
description We investigate sound propagation in lossy, locally resonant periodic structures by studying an air-filled tube periodically loaded with Helmholtz resonators and taking into account the intrinsic viscothermal losses. In particular, by tuning the resonator with the Bragg gap in this prototypical locally resonant structure, we study the limits and various characteristics of slow sound propagation. While in the lossless case the overlapping of the gaps results in slow-sound-induced transparency of a narrow frequency band surrounded by a strong and broadband gap, the inclusion of the unavoidable losses imposes limits to the slowdown factor and the maximum transmission. Experiments, theory, and finite element simulations have been used for the characterization of acoustic wave propagation by tuning the Helmholtz/Bragg frequencies and the total amount of loss both for infinite and finite lattices. This study contributes to the field of locally resonant acoustic metamaterials and slow sound applications.
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spelling doaj.art-cf118b838a2942f5ab9449dcd12c49982023-08-08T14:20:58ZengIOP PublishingNew Journal of Physics1367-26302014-01-0116909301710.1088/1367-2630/16/9/093017Limits of slow sound propagation and transparency in lossy, locally resonant periodic structuresG Theocharis0O Richoux1V Romero García2A Merkel3V Tournat4LUNAM Université, Université du Maine , CNRS, LAUM UMR 6613, Avenue O. Messiaen, 72085 Le Mans, FranceLUNAM Université, Université du Maine , CNRS, LAUM UMR 6613, Avenue O. Messiaen, 72085 Le Mans, FranceLUNAM Université, Université du Maine , CNRS, LAUM UMR 6613, Avenue O. Messiaen, 72085 Le Mans, FranceLUNAM Université, Université du Maine , CNRS, LAUM UMR 6613, Avenue O. Messiaen, 72085 Le Mans, FranceLUNAM Université, Université du Maine , CNRS, LAUM UMR 6613, Avenue O. Messiaen, 72085 Le Mans, FranceWe investigate sound propagation in lossy, locally resonant periodic structures by studying an air-filled tube periodically loaded with Helmholtz resonators and taking into account the intrinsic viscothermal losses. In particular, by tuning the resonator with the Bragg gap in this prototypical locally resonant structure, we study the limits and various characteristics of slow sound propagation. While in the lossless case the overlapping of the gaps results in slow-sound-induced transparency of a narrow frequency band surrounded by a strong and broadband gap, the inclusion of the unavoidable losses imposes limits to the slowdown factor and the maximum transmission. Experiments, theory, and finite element simulations have been used for the characterization of acoustic wave propagation by tuning the Helmholtz/Bragg frequencies and the total amount of loss both for infinite and finite lattices. This study contributes to the field of locally resonant acoustic metamaterials and slow sound applications.https://doi.org/10.1088/1367-2630/16/9/093017slow soundacoustic metamaterialslossy periodic structures43.20.Mv43.20.Hq43.20.Fn
spellingShingle G Theocharis
O Richoux
V Romero García
A Merkel
V Tournat
Limits of slow sound propagation and transparency in lossy, locally resonant periodic structures
New Journal of Physics
slow sound
acoustic metamaterials
lossy periodic structures
43.20.Mv
43.20.Hq
43.20.Fn
title Limits of slow sound propagation and transparency in lossy, locally resonant periodic structures
title_full Limits of slow sound propagation and transparency in lossy, locally resonant periodic structures
title_fullStr Limits of slow sound propagation and transparency in lossy, locally resonant periodic structures
title_full_unstemmed Limits of slow sound propagation and transparency in lossy, locally resonant periodic structures
title_short Limits of slow sound propagation and transparency in lossy, locally resonant periodic structures
title_sort limits of slow sound propagation and transparency in lossy locally resonant periodic structures
topic slow sound
acoustic metamaterials
lossy periodic structures
43.20.Mv
43.20.Hq
43.20.Fn
url https://doi.org/10.1088/1367-2630/16/9/093017
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AT orichoux limitsofslowsoundpropagationandtransparencyinlossylocallyresonantperiodicstructures
AT vromerogarcia limitsofslowsoundpropagationandtransparencyinlossylocallyresonantperiodicstructures
AT amerkel limitsofslowsoundpropagationandtransparencyinlossylocallyresonantperiodicstructures
AT vtournat limitsofslowsoundpropagationandtransparencyinlossylocallyresonantperiodicstructures