Unusual Parametric Effects on Line Acoustic Waves

Adler, R.; Hoskins, M.J.; Datta, Supriyo; Hunsinger, B.J.

doi:10.1109/t-su.1979.31114

Cited by 18 publications

(3 citation statements)

References 4 publications

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“…It is worth noting that the study of strongly nonlinear elastic waves propagating in a wedge-shaped waveguide and known as wedge waves is longstanding challenge [14][15][16][17][18][19]. After the theoretical prediction of wedge waves subsequent experiments confirmed presence of nonlinearities induced by the laser-based pump-probe excitations [20][21][22].…”

Section: Introductionmentioning

confidence: 93%

Possible realization of a phononic tsunami in a wedge-shaped sample

et al. 2021

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Exploiting the theory of solitons in a nonlinear elastic medium we predict a phenomenon called a phononic tsunami, which is characterized by the dramatic increase of the local amplitude of phonon modes. To elucidate the possible experimental detection of this phenomenon we propose to use a wedge-shaped sample in which a sharp edge serves for the emulation of the shoaling effect and such a local enhancement can be observed. Together with eigenfrequencies of transverse and longitudinal phonon modes of a system we find the characteristic dispersion relations that can be considered as a hallmark of a phononic tsunami. We justify our predictions by means of analytical calculations and numerical simulations showing a possible realization of this nonlinear effect in such a geometry. Our results provide the framework for the implementation of kind experiments aimed at realizing and investigating a phononic tsunami phenomenon in relevant materials.

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Section: Introductionmentioning

confidence: 93%

Possible realization of a phononic tsunami in a wedge-shaped sample

et al. 2021

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“…It is known under the name of instability of Benjamin-Feir [14]. MI qualitatively indicates the capacity for an excitation which is propagating, to be divided into packages of energy [16,17]. It is a subject of great interest in several branches of physics.…”

Section: Introductionmentioning

confidence: 99%

Modulational instability and rogue waves in one-dimensional nonlinear acoustic metamaterials: case of diatomic model

Joseph¹,

Justin²,

David³

et al. 2021

Phys. Scr.

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In this paper, by means of the expanded Taylor series and Lindstedt-Poincar ́e perturbation methods, the coupled nonlinear Schrödinger equations (CNLSE) modeling the propagation of acoustic waves in acoustic metamaterial is obtained. Using these equations, the Modulational Instability (MI) phenomenon is observed in disturbance mode. Manakov integrable system is derived with suitable parameters and we shown that the Rogue Waves (RWs) can propagate diatomic acoustic metamaterials.

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“…Elastic waves, that propagate along the wedge formed by two intersecting planes with stress free boundaries, were originally studied for elastic waves propagating along crystal structures such as acoustic phonons and surface magnons 1 and as a use for delay-lines. 2 Since their discovery, many well documented theoretical 3 and experimental [4][5][6][7][8] studies of wedge waves (WWs) have been conducted (also see review articles [9][10][11] ). WWs were found to exhibit characteristic properties that differ from other types of surface waves that make them useful for delay line applications.…”

Section: Introductionmentioning

confidence: 99%

Coupled wedge waves

Abell

Pyrak‐Nolte²

2013

The Journal of the Acoustical Society of America

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The interface between two wedges can be treated as a displacement discontinuity characterized by elastic stiffnesses. By representing the boundary between the two quarter-spaces as a displacement discontinuity, coupled wedge waves were determined theoretically to be dispersive and to depend on the specific stiffness of the non-welded contact between the two wedges. Laboratory experiments on isotropic and anisotropic aluminum confirmed the theoretical prediction that the velocity of coupled wedge waves, for a non-welded interface, ranged continuously from the single wedge wave velocity at low stress to the Rayleigh velocity as the load applied normal to the interface was increased. Elastic waves propagating along the coupled wedges of two quarter-spaces in non-welded contact are found to exist theoretically even when the material properties of the two quarter-spaces are the same.

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Unusual Parametric Effects on Line Acoustic Waves

Cited by 18 publications

References 4 publications

Possible realization of a phononic tsunami in a wedge-shaped sample

Possible realization of a phononic tsunami in a wedge-shaped sample

Modulational instability and rogue waves in one-dimensional nonlinear acoustic metamaterials: case of diatomic model

Coupled wedge waves

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