Fnite-difference time-domain modeling of acoustic propagation in piezoelectric media

The finite-difference time-domain method is used for the numerical analysis of acoustic wave in piezoelectric media. The Gauss equation in piezoelectric materials and the Newton´s equations of motion are discretized with centered finite differences in spatial and temporal domain by the FDTD method, and the numerical solutions of the acoustic propagation in the time domain can be obtained directly by the difference equations. Because only XZ plane is considered, the spatial layout needs three components on a stress node, two components on particle velocity nodes. What´s more, the perfectly matched layer (PML) boundary condition is applied to avoid artificial reflection. The flow of the proposed FDTD procedures for modeling acoustic propagation in piezoelectric media is summarized. A graphical visualization of the acoustic wave propagation in piezoelectric media is given. Numerical experiments have proved the effectiveness of the proposed algorithm.