Response of Corrugated Interface on Incident qSV-Wave in Monoclinic Elastic Half-Spaces

Abstract

This paper is concerned with the problem of reflection and transmission of elastic waves due to an incident plane qSV-wave at a corrugated interface between two dissimilar monoclinic elastic half-spaces. Due to the corrugated nature of the interface, there exist regularly and irregularly reflected and transmitted elastic waves. Using Rayleigh’s method of approximation, the reflection and transmission coefficients of regular and irregular waves are obtained for the first order of approximation. We have found that these coefficients are functions of the angle of incidence, elastic constants, corrugation and the frequency parameter. These coefficients are obtained for a special type of interface, z =d cos py . We have computed these coefficients for a particular model and discussed the effects of corrugation and frequency parameter.

Keywords

• qsv and qp-waves
• reflection and transmission coefficients
• monoclinic medium
• corrugated interface
• phase velocity