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Cylendrical Waves, Fourier Transforms, Scattered Waves, Wiener-Hopf Technique

Love waves are surface seismic waves that cause horizontal shifting of earth during the earthquake. The particle motion of Love waves forms a horizontal line perpendicular to direction of propagation. The effect of irregularities present in the surface layer has been discussed in the present paper. The irregularity is in the form of a finite rigid barrier in the surface layer. The surface layer has been assumed to be homogeneous, isotropic and slightly dissipative. The reflected, transmitted and scattered waves have been obtained by Fourier transformations and Wiener-Hopf technique. The numerical computation has been done by taking the barriers of different sizes. The amplitude of the scattered and the reflected waves has been plotted against the wave number. The scattered waves behave as decaying cylindrical waves at distant points. The amplitude of the scattered waves falls off very rapidly as the wave number increases slowly. The amplitude of the reflected Love waves decreases rapidly with the wave number and ultimately becomes saturated which shows that the reflected love waves take a very long time to dissipate making these the most destructive waves during the earthquake.