Reflection and transmission of plane elastic waves at the boundary between piezoelectric materials and water

Abstract

Reflection and transmission coefficients for plane elastic waves obliquely incident on the boundary between two isotropic materials have been known for some time. The solution for anisotropic materials, however, has not been fully treated in the literature. Here we derive these coefficients for the case of a piezoelectric ceramic in contact with water. This problem is of significant practical interest, since in a variety of applications, piezoelectric ceramics, which are inherently anisotropic, are used as transducers to radiate acoustic energy into water. Due to the anisotropy, velocities of both compressional and shear waves are functions of the angle of incidence. Piezoelectric equations are solved to find the variations of compressional and shear wave velocities with the angle of incidence. Reflection and transmission coefficients are then obtained and numerical results are presented for four piezoelectric ceramics.

Reection and refraction of plane waves at the interface between magnetoelectroelastic and liquid media

“…Exact solutions are obtained for the reflection and refraction of plane waves at the interface between linear MEE material and liquid. The solutions implicitly contain the cases for elastic material/liquid [14], piezoelectric material/liquid [1] and piezomagnetic material/liquid. tan θ (0) .…”

“…If θ (0) > θ cr , the reflected QP wave is a wave propagating along the x-axis, and the amplitude decays with the depth into the MEE medium (decreasing z). For this surface-type wave, the component cos θ (1) becomes i(c…”

“…( 16) modified in terms of Eq. ( 19) are given as: a 11 = 0, a 21 = − sin θ (0) ( e 15 ξ (1) + f 15 ζ (1) )…”

“…It is difficult to embrace all the related references and therefore just some of them are mentioned herein. Noorbehesht et al [1] studied the reflection and transmission of plane elastic waves at the boundary between piezoelectric material and water. Shana et al [2] theoretically investigated the reflection of obliquely incident shear horizontal bulk acoustic waves at the interface between a piezoelectrc crystal and a viscous conductive liquid.…”

The Effects of Piezoelectricity on the Interaction of Waves in Fluid-Loaded Poroelastic Half-Space

“…The reflection and refraction of plane waves in piezoelectric anisotropic materials have been mentioned in the texts of Auld [2], Dieulesaint and Royer [3], and Parton and Kudryavtsev [4]. Noorbehesht and Wade [5] obtained the analytical expressions for reflection and transmission coefficients of the waves at a boundary between piezoelectric materials and water and studied the effects of angle of incidence and material properties on these coefficients. Auld [6] studied the wave propagation in piezoelectric materials.…”