Scattering of compressional waves by a circular cylinder (Q1094906)

This paper deals with the scattering of compressional waves by a circular cylinder. The cylinder is embedded in an unbounded isotropic homogeneous elastic medium and it is filled with some acoustic fluid. The line source, generating the incident pulse is situated outside the cylinder parallel to its axis. The problem is investigated by the method of dual integral transformations. The resulting integrals are evaluated asymptotically to obtain the short time estimate of the motion near the wave front in the illuminated region of the elastic medium. We interpret the approximate solution in terms of geometrical optics.