Acoustic Waves Propagation in Anisotropic Materials: Polarizations and Slowness Surfaces Singularities.

Lanceleur, P.; Belleval, Jean Françis de; Ribeiro, H.E.

doi:10.1016/b978-0-7506-1877-9.50098-6

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“…Calculation of the slowness vector for each direction is done by solving the extended Christoffel's equation (32), taking into account all earlier formulas for entry formation. It results in three possible values for the magnitude of the wave vector, for each considered direction and for a given frequency.…”

Section: Numerical Resultsmentioning

confidence: 99%

Sound in biased piezoelectric materials of general anisotropy

2005

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A theoretical model is presented that describes the propagation of sound in biased piezoelectric crystals of any kind of symmetry. The symmetry relations for the higher order material constants of trigonal 3m crystals, are calculated and listed in the appendix. The example of Lithium Niobate is highlighted, under influence of a bias pressure. The change of slowness (inverse velocity), because of this pressure, is calculated for every direction. Also the influence of stress on the acoustic polarization and the energy flow is outlined. Furthermore, the difference between the case where piezoelectricity is included and the case where it is omitted, is discussed. The description of changing slowness surfaces, because of a bias field, is not limited to homogeneous plane waves, but also inhomogeneous plane waves are taken into account.

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Section: Numerical Resultsmentioning

confidence: 99%