Reflection and refraction of ultrasonic waves on a plane interface between two generally anisotropic media

Abstract

Based on the Fedorov theory, we developed a unified approach for numerical solutions for the problem of the reflection-refraction of elastic waves on interface between two generally anisotropic solids. In contrast to other studies we consider Kristoffel equations and boundary conditions for both anisotropic media in coordinate systems formed by incident and interface planes rather than in crystallographic coordinates. This makes it possible to write simple unified algorithms for finding slowness refraction vectors and unit displacement vectors. Special care was taken to include in the general algorithm the cases of propagation in directions of acoustics axes. We illustrate our results by calculation of energy reflection and refraction coefficients for two cases: (1) anisotropic stainless-steel weld and (2) nickel-nickel bicrystal interface. [This work is supported by the Department of Energy.]