2014
DOI: 10.1103/physreve.90.023206
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Directional asymmetry of the nonlinear wave phenomena in a three-dimensional granular phononic crystal under gravity

Abstract: We report the experimental observation of the gravity-induced asymmetry for the nonlinear transformation of acoustic waves in a noncohesive granular phononic crystal. Because of the gravity, the contact precompression increases with depth inducing space variations of not only the linear and nonlinear elastic moduli but also of the acoustic wave dissipation. We show experimentally and explain theoretically that, in contrast to symmetric propagation of linear waves, the amplitude of the nonlinearly self-demodula… Show more

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Cited by 17 publications
(8 citation statements)
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“…Such acoustic rectifiers rely on coupling a nonlinear frequency-converting medium to a phononic crystal, which permits the passing of the nonlinear signal along one direction only [12][13][14][15][16][17]. Recent advancements along this line report on the use of two coupled nonlinear resonators [18] and propagation asymmetry induced by gravity [19]. Besides the inherent frequency conversion of these devices, the nonlinear mechanisms introduce severe signal distortions and reduced signal strength.…”
Section: Introductionmentioning
confidence: 99%
“…Such acoustic rectifiers rely on coupling a nonlinear frequency-converting medium to a phononic crystal, which permits the passing of the nonlinear signal along one direction only [12][13][14][15][16][17]. Recent advancements along this line report on the use of two coupled nonlinear resonators [18] and propagation asymmetry induced by gravity [19]. Besides the inherent frequency conversion of these devices, the nonlinear mechanisms introduce severe signal distortions and reduced signal strength.…”
Section: Introductionmentioning
confidence: 99%
“…Swapping source and receiver has long provided identical frequency responses due to reciprocity features, thus preventing the possible tuning of the transmission coefficient in opposite directions. In acoustics and elasticity, the reciprocity of wave propagation can be broken via three means: by using spatiotemporal dependent material properties [1], by combining nonlinear properties with an asymmetry [2][3][4], or by introducing an external bias [5,6]. Nonreciprocal devices and their applications have recently been reviewed in Ref.…”
Section: Introductionmentioning
confidence: 99%
“…The most commonly encountered means for breaking the reciprocity of a wave system is to induce nonlinearity into the propagation process or to have the wave interact with a localized nonlinear element 1319,21,22 . Asymmetric devices based on such wave nonlinearity typically feature a conversion stage, as assumed by a highly nonlinear medium or element, plus a selection stage via filtering by, for example, phononic or photonic crystals.…”
Section: Introductionmentioning
confidence: 99%