Far Field Radiation of a Point Source on the Free Surface of Semi-Infinite Anisotropic Solids

Abstract

A common approach to study the acoustic field in an isotropic elastic half-space has been to use the equations of linear, isotropic elasticity together with Fourier or Hankel transforms [1,2]. The result is a definiteintegral representation of the field at an arbitrary point in the half-space owing to a prescribed stress applied to the free surface. The complicated integral can be evaluated asymptotically to give the far field radiation. Furthermore, the theoretical expressions for the directivity patterns from a variety of acoustic sources, radiating into an isotropic elastic half-space have been presented by several authors [1–4]. A similar theoretical analysis applied to an anisotropic solid medium fails because the potential theory method is not applicable to the anisotropic problem.