SAW scattering by perfectly conducting elliptic disk on anisotropic piezoelectric halfspace

A surface acoustic wave (SAW) propagating in an arbitrarily anisotropic piezoelectric halfspace is considered. The wave interacts with a perfectly conducting and weightless metal disk on the substrate surface by means of the electric potential only, which is coupled to the SAW due to the substrate piezoelectricity. A perturbation theory of the scattering of the plane harmonic SAW by the disk is presented which accounts for the dielectric and elastic anisotropy of the substrate. The solution for electric charge distribution on the disk is given in the form of a fast convergent series easy for computation. The angular dependence of the scattered SAW a large distance from the disk is discussed, and it is shown that the scattering pattern main lobe lies in the shadow area