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Accueil du site > Sujets de recherche > Propagation des ondes acoustiques dans les milieux bulleux > Cristaux phononiques de bulles.

Bubble phononic crystal

In phononic crystals, the propagation of acoustic waves does not follow the same rules as in standard homogeneous media [1,2]. In particular, absolute band gaps can exist, making phononic crystals promissing candidates for applications such as acoustic filters, silent blocks or waves guides [3]. They can also exhibit resonant tunneling [4] or sub-wavelength imaging [5].

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Bubble phononic crystal
Two layers of air inclusions in an elastic matrix. Diameters are 78µm, lattice constant 200µm.

Among all the components one can think of to create a phononic crystal, the case of air bubbles in a liquid has been shown to be a very promissing choice. Theories predict indeed that crystals with air inclusions in a liquid exhibit the widest band gaps ever reported [6,7]. But the practical implementation is difficult: generating equally sized bubbles arranged on a crystal lattice is not an easy task.

We have designed phononic crystals of bubbles using soft lithography techniques. Transmission measurements confirm the existence of wide and deep minima of transmission [8]. Interestingly, the first minimum is due to the combined effect of Bragg reflections (Bragg gap, BG) and bubble resonances (hybridization gap, HG).

- [1] M. S. Kushwaha, P. Halevi, G. Martinez, L. Dobrzynski, and B. Djafari-Rouhani, Phys. Rev. B 49, 2313 (1994).
- [2] F. R. Montero de Espinosa, E. Jiménez, and M. Torres, Phys. Rev. Lett. 80, 1208 (1998).
- [3] A. Khelif, A. Choujaa, S. Benchabane, B. Djafari-Rouhani, and V. Laude, Applied Physics Letters 84, 4400 (2004).
- [4] F. V. D. Biest, A. Sukhovich, A. Tourin, J. H. Page, B. A. van Tiggelen, Z. Liu, and M. Fink, Europhysics Letters 71, 63 (2005).
- [5] A. Sukhovich, B. Merheb, K. Muralidharan, J. O. Vasseur, Y. Pennec, P. A. Deymier, and J. H. Page, Physical Review Letters 102, 154301 (2009).
- [6] M. S. Kushwaha, B. Djafari-Rouhani, and L. Dobrzynski, Physics Letters A 248, 252 (1998).
- [7] M. Kafesaki, R. S. Penciu, and E. N. Economou, Phys. Rev. Lett. 84, 6050 (2000).
- [8] V. Leroy, A. Bretagne, M. Fink, H. Willaime, P. Tabeling, A. Tourin, Applied Physic Letters 95 171904 (2009). (pdf)

- Institut Langevin, Paris, France (A. Bretagne, M. Fink, A. Tourin)
- Laboratoire MMN, Paris, France (P. Tabeling, H. Willaime)

Contact : Published on / Publié le 5 November 2010