Propagation of SH-Waves through an irregular surface due to an infinite rigid plane boundary

Abstract

 The problem of Scattering of Love waves due to an infinite rigid plane boundary is studied. The infinite rigid plane boundary is present in the homogeneous, isotropic and slightly dissipative surface layer. The Scattered & reflected waves are obtained by Wiener – Hopf technique and Fourier transformations. Numerical computation has been done and conclusion has been drawn from the graphs of amplitudes versus wave number of the scattered Love waves. The amplitude of the scattered and the reflected waves has been plotted against the wave number. The amplitude of the scattered waves falls off very rapidly as the wave number increases slowly. The scattered waves behave as decaying cylindrical waves at distant points. The amplitude of the reflected Love wave decreases rapidly with the wave number and ultimately becomes saturated. The amplitude of the scattered  waves decreases rapidly with the increase in wave number and then it decreases at slower rate and ultimately becomes saturated which shows that love

waves take a long time to dissipate and go on moving around earth surface for a long time.