On the singularities of the scattering kernel for the elastic wave equation in the case of mode-conversion

Abstract

For the elastic wave, there are waves of different modes and a remarkable phenomenon called ``mode-conversion'' which causes serious difficulties in the analysis of singularities of the scattering kernel. In the present paper, by considering the case of a non back-scattering, we examine singularities of the scattering kernel for the elastic wave equation in the case of mode-conversion.