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

Laboratoire Matière et Systèmes Complexes, Paris-Diderot University, Centre National de la Recherche Scientifique, 75013 Paris, France
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;
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)
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results show that the new expression gives a good estimate of the concentration at which the monopole model is no longer valid, but fails at properly predicting the transmission. View Full-Text
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.

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.

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.

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