Convolution-Perfectly Matched Layer (C-PML) absorbing boundary condition for wave propagation in piezoelectric solid

Since its introduction in 1994 by Berenger for Maxwell's equations, the Perfectly Matched Layer (PML) technique has become classical in numerical simulations of wave propagation. In this study, we extend the Convolution-Perfectly Matched Layer (C-PML) method developped
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for first-order and second-order systems describing elastic waves in anisotropic solid, to the equations of elastic waves propagation in piezoelectric solids. An interpretation of the C-PML as an effective anisotropic piezoelectric solids is proposed. This formulation facilitates implementation in COMSOL Multiphysics software. It will be described in frequency (for harmonic linear wave simulations) and time domains for piezoelectric media. We illustrate the efficiency of this second-order perfectly matched layer based upon 2D benchmarks with bulk, surface waves and Lamb waves.