%0 Journal Article %T Acoustics of Bubble Arrays: Role Played by the Dipole Response of Bubbles %A Arnaud Tourin %A Margaux Thieury %A Nicolas Chastrette %A Olivier Lombard %A Valentin Leroy %J - %D 2018 %R https://doi.org/10.3390/fluids3040095 %X 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results show that the new expression gives a good estimate of the concentration at which the monopole model is no longer valid, but fails at properly predicting the transmission.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-Tex %K acoustics %K bubble %K metamaterial %U https://www.mdpi.com/2311-5521/3/4/95