SH waves in piezoelectric semiconductor film

The propagation behavior of SH waves in a transversely isotropic one-carrier piezoelectric semiconductor thin film is investigated. We establish the governing equations of SH waves with respect to the displacement, electrical potential, and perturbation of carrier density based on constitutive equations, the relationship between mechanical displacement and strain components, the relationship between electric field and electric potential, equations of motion, Gauss's law of electrostatics, and conservation of charge. The boundary conditions in an unelectroded piezoelectric semiconductor include the traction-free condition, electric continuity condition, and perturbation of the carrier density of the surface vanishing condition. An analytical dispersion equation of SH waves for the case of mechanical and electrical boundary conditions is obtained. Numerical results show that the semiconductor character can affect the phase velocity and wave attenuation phenomenon.