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Fluids 2018, 3(4), 95; https://doi.org/10.3390/fluids3040095

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

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
Current address: Institut de Mécanique et d’Ingénierie, Université de Bordeaux-Centre National de la Recherche Scientifique-Bordeaux, F-33405 Talence, France.
*
Author to whom correspondence should be addressed.
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results show that the new expression gives a good estimate of the concentration at which the monopole model is no longer valid, but fails at properly predicting the transmission. View Full-Text
Keywords: acoustics; bubble; metamaterial acoustics; bubble; metamaterial
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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.

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