Existence of one component surface waves in anisotropic elastic media

Abstract

The search for one component surface waves has been connected with the space of simple reflection and the space of degeneracy. We demonstrate that the existence of the one component surface wave requires degeneracy in the Stroh eigenvalue problem and that the degeneracy can be either semisimple or non-semisimple. Relating the one component surface wave to the two component surface wave, we find that the one component surface wave results from a confluence between the secluded supersonic surface wave and the space of degeneracy. A sequence of theorems concerning the existence of one component supersonic surface waves is established.