Abstract
The material constants of perfectly matched layers (PMLs) for elastic waves in piezoelectric solids in orthogonal coordinates, such as the cylindrical and spherical coordinates, in the frequency domain were derived from the differential form. Using the coordinate transformation laws of tensors, the quotient rule, and complex coordinate stretching, we obtained the material parameters of PMLs in the real coordinate. Our results on stress and piezoelectric stress constants are different from the parameters determined by the analytic continuation because we include or exclude the transformation of the contravariant components in the differential form or the analytic continuation, respectively. The presented results are extensions of our results for anisotropic solids without piezoelectricity.
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