Acoustic Goos-Hänchen effect

Abstract

We report two models of the lateral displacement of acoustic-wave scattering on a fluid-solid interface that reveal an acoustic analog of the Goos-Hänchen effect in optics. This acoustic analog is called the acoustic Goos-Hänchen effect. Using newly proposed models, we made numerical calculations for the system of a water-Perspex interface. Specifically, in the post-critical-angle region, we observed a lateral displacement (and transition time) of the reflected P-wave with respect to the incident P-wave. The first arrival of the acoustic signal from the interface is found to be a reflected P-wave rather than the sliding-refraction P-wave usually described in traditional acoustic-logging sliding P-wave theory. For both proposed models, the effective propagation speed of the reflected P-wave along the interface depends on not only the physical properties of the interfacial media but also the incident angle. These observations are intriguing and warrant further investigation.