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Article

Acoustics of Bubble Arrays: Role Played by the Dipole Response of Bubbles

by
Valentin Leroy
1,*,
Nicolas Chastrette
1,
Margaux Thieury
1,2,
Olivier Lombard
1,2,† and
Arnaud Tourin
2
1
Laboratoire Matière et Systèmes Complexes, Paris-Diderot University, Centre National de la Recherche Scientifique, 75013 Paris, France
2
Institut Langevin, ESPCI Paris, Centre National de la Recherche Scientifique, Paris Sciences et Lettres University, 75005 Paris, France
*
Author to whom correspondence should be addressed.
†
Current address: Institut de Mécanique et d’Ingénierie, Université de Bordeaux-Centre National de la Recherche Scientifique-Bordeaux, F-33405 Talence, France.
Fluids 2018, 3(4), 95; https://doi.org/10.3390/fluids3040095
Submission received: 3 October 2018 / Revised: 8 November 2018 / Accepted: 13 November 2018 / Published: 20 November 2018
(This article belongs to the Special Issue Advances in Bubble Acoustics)
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Abstract

A model for acoustic transmission through a 2D square crystal of R-radius bubbles with a lattice constant L was previously proposed. Assuming a purely monopole response of the bubbles, this model offers a simple analytical expression of the transmission. However, it is not applicable when the bubbles are too close to each other (L/R < 5). This article proposes an extension of the model by including the dipole response of the bubbles. Comparisons with numerical and experimental results show that the new expression gives a good estimate of the concentration at which the monopole model is no longer valid, but fails at properly predicting the transmission.
Keywords: acoustics; bubble; metamaterial acoustics; bubble; metamaterial

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MDPI and ACS Style

Leroy, V.; Chastrette, N.; Thieury, M.; Lombard, O.; Tourin, A. Acoustics of Bubble Arrays: Role Played by the Dipole Response of Bubbles. Fluids 2018, 3, 95. https://doi.org/10.3390/fluids3040095

AMA Style

Leroy V, Chastrette N, Thieury M, Lombard O, Tourin A. Acoustics of Bubble Arrays: Role Played by the Dipole Response of Bubbles. Fluids. 2018; 3(4):95. https://doi.org/10.3390/fluids3040095

Chicago/Turabian Style

Leroy, Valentin, Nicolas Chastrette, Margaux Thieury, Olivier Lombard, and Arnaud Tourin. 2018. "Acoustics of Bubble Arrays: Role Played by the Dipole Response of Bubbles" Fluids 3, no. 4: 95. https://doi.org/10.3390/fluids3040095

APA Style

Leroy, V., Chastrette, N., Thieury, M., Lombard, O., & Tourin, A. (2018). Acoustics of Bubble Arrays: Role Played by the Dipole Response of Bubbles. Fluids, 3(4), 95. https://doi.org/10.3390/fluids3040095

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