One-component surface waves in materials with symmetry

It has recently been established that the existence of one-component surface waves is compatible with material symmetry and that they can occur even in transversely isotropic materials. This paper deals primarily with the existence of one-component surface waves in materials with a plane of symmetry normal to the direction of propagation, with particular attention given to transversely isotropic materials in this class. Numerical results indicate that there are stable transversely isotropic materials for which one-component surface waves exist for any orientation of the symmetry axis relative to the free surface. A separate numerical search shows that the one-component surface wave is incompatible with cubic symmetry.