Point force excitation of an elastic infinite circular cylinder with an embedded spherical cavity

In this paper the scattering of elastic waves in an infinite circular cylinder is considered. The elastic medium of the cylinder is assumed to be homogeneous, isotropic, and linear except for a finite inhomogeneity which, for simplicity, is chosen as a spherical cavity. By applying the null field approach (or T matrix method), the scattered field is obtained as a complicated expression containing the transition matrix of the cavity, the reflection matrix of the cylinder, and the transformation function between the spherical and cylindrical vector wave functions. Numerical results, both in the frequency and time domain, are presented.