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The conventional Perfectly Matched Layer (PML) is unstable for certain kindsof anisotropic media. This instability is intrinsic and independent of PMLformulation or implementation. The Multi-axial PML (MPML) removes suchinstability using a nonzero damping coefficient in the direction parallel withthe interface between a PML and the investigated domain. The damping ratio ofMPML is the ratio between the damping coefficients along the directionsparallel with and perpendicular to the interface between a PML and theinvestigated domain. No quantitative approach is available for obtaining thesedamping ratios for general anisotropic media. We develop a quantitativeapproach to determining optimal damping ratios to not only stabilize PMLs, butalso minimize the artificial reflections from MPMLs. Numerical tests based onfinite-difference method show that our new method can effectively provide a setof optimal MPML damping ratios for elastic-wave propagation in 2D and 3Dgeneral anisotropic media.

Optimal damping ratios of multi-axial perfectly matched layers for elastic-wave modeling in general anisotropic media