Scattering of shear waves by a rigid cylinder in an inhomogeneous medium (Q1088445)

We consider the problem of scattering of shear (SV) waves by a rigid circular cylinder embedded in an inhomogeneous medium, in which density and shear modulus vary as the power of the distance from the center of the cylinder. The problem is investigated by the method of dual integral transformation. The resulting integrals are evaluated asymptotically to obtain the time solution. Numerical computations are done to investigate the behaviour of reflection co-efficients and divergence factors for shear and compressional waves, respectively. The results show that the expectations in case of a homogeneous earth are also valid in the heterogeneous case.