Three-dimensional diffraction of compressional waves by a rigid cylinder in an inhomogeneous medium (Q1207754)

We consider the diffraction of compressional waves by a rigid cylinder embedded in an unbounded inhomogeneous elastic medium. The point source, generating the incident pulse, is situated at a finite distance from the obstacle. The formal solutions of displacement field are obtained in the integral form. These integrals are evaluated asymptotically by the residue Cagniard method to obtain the short-time estimate of the motion near the wave front in the shadow zone of the elastic medium.