Diffraction of shear plane electro-elastic wave on the semi-infinite metallic layer in the piezoelectric semi-space

The diffraction of plane shear electro-elastic wave on a thin semi-infinite $\varPhi_{\infty}(x, y),\ w_{\infty}(x, y)$ metallic layer piezoelectric-vacuum space is considered in the presence of a thin infinite (ground shield) metallic layer in vacuum. The problem is reduced to the solution of a functional equation in the theory of analytical functions. The problem admits closed solution describing the wave fields in vacuum and in the piezoelectric medium. The presence of the semi-infinite metallic layer leads to a diffraction of a waves, a result of which surface electroelastic waves occur.