Theory on the laser excited wave propagation in a single piezoelectric plate under a bias electric field

The laser excited wave propagation in a single piezoelectric plate under a bias electric field is studied theoretically. The state vector approach is used to derive the differential equations for the piezoelectric plate under a bias electric field. The laser is modeled as a transient force at the boundary. By solving the state space equation, both the dispersion curves and surface displacement of the epicenter of the single piezoelectric plate under the laser ablation excitation with bias electric field are obtained. It is found that the wave propagation in the piezoelectric is influenced by the bias electric field. The numerical calculation shows that along the polarization direction, the velocity of the acoustic wave in the piezoelectric plate with positive bias electric field is larger than that without any electric field, which is just an inversed situation in the negative configuration. The theoretical findings will provide the basis for the further experimental investigation.