The interaction of transverse (T) and longitudinal (L) polarized waves in an homogeneous and isotropic 3-dimensional continuum linear elastic medium, interacting with a dislocation segment pinned at both ends, was considered. An elastic wave which was incident upon such a dislocation segment was scattered, and the resultant scattered wave was characterized by its scattering amplitudes; that accounted for possible T-L mode conversions. The scattering amplitudes were explicitly calculated. Consequently, it was possible to calculate the resultant interference patterns of incident and scattered waves; as observed in experiments. The energy loss per cycle was also calculated by using the optical theorem. The results were shown to be in qualitative agreement with the results of numerical experiments.

Interaction between an Elastic Wave and a Single Pinned Dislocation. A.Maurel, V.Pagneux, F.Barra, F.Lund: Physical Review B, 2005, 72[17], 174110 (13pp)