Nonlinear propagation and control of acoustic waves in phononic superlattices
Abstract
The propagation of intense acoustic waves in a one-dimensional phononic crystal is studied. The medium consists in a structured fluid, formed by a periodic array of fluid layers with alternating linear acoustic properties and quadratic nonlinearity coefficient. The spacing between layers is of the order of the wavelength, therefore Bragg effects such as band gaps appear. We show that the interplay between strong dispersion and nonlinearity leads to new scenarios of wave propagation. The classical waveform distortion process typical of intense acoustic waves in homogeneous media can be strongly altered when nonlinearly generated harmonics lie inside or close to band gaps. This allows the possibility of engineer a medium in order to get a particular waveform. Examples of this include the design of media with effective (e.g., cubic) nonlinearities, or extremely linear media (where distortion can be canceled). The presented ideas open a way towards the control of acoustic wave propagation in nonlinear regime. ; Work supported by Spanish Ministry of Economy and Innovation and European Union FEDER through projects FIS2011-29731-C02-02 and MTM2012-36740-C02-02. AM and LMGR acknowledge Generalitat Valenciana under grants Santiago Grisolia program (grant 2012/029) and BEST2015/279 respectively. RP and VJSM acknowledge the Spanish Ministry of Economy and Innovation under grants CAS14/00232 and PRX14/00705 respectively. ; Jimenez, N.; Mehrem, A.; Picó Vila, R.; García-Raffi, LM.; Sánchez Morcillo, VJ. (2016). Nonlinear propagation and control of acoustic waves in phononic superlattices. Comptes Rendus Physique. 17(5):543-554. https://doi.org/10.1016/j.crhy.2016.02.004 ; S ; 543 ; 554 ; 17 ; 5
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