Anti-Plane Surface Disturbance

Abstract

Solution to a problem of half-space subjected to anti-plane surface disturbance via Cagniard-de Hoop method has been investigated.  The solution is very much dependent on the choice of branch cuts, branches, and their behavior along the appropriate selected contour.  Investigations show that the contour, which simplifies the inversion integral, may or may not exist in some quadrants of x-plane and is very much dependent on the position of the point x. Consequently, the solution is the Hankel function of first kind .

Key Words: Cagniard-de Hoop method. Inversion Integral. Hankel function. Anti-plane Shear. Waves propagation.  Fourier Transform.