2016/08/30 by Kai Gao, Gao, Kai, Lianjie Huang +1
Engineering · Physics and Astronomy · #Advanced Numerical Methods in Computational Mathematics #Computational Physics (physics.comp-ph) #Electromagnetic Scattering and Analysis #Electromagnetic Simulation and Numerical Methods #FOS: Physical sciences #Geophysics (physics.geo-ph) #physics.comp-ph #physics.geo-ph
paper · pdf · doi:10.48550/arxiv.1608.08326
Rejected by journal. Therefore require extensive modifications
openalex publication_date 2016/08/30 · arxiv created 2016/12/21 · arxiv updated 2016/12/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The conventional Perfectly Matched Layer (PML) is unstable for certain kinds of anisotropic media. This instability is intrinsic and independent of PML formulation or implementation. The Multi-axial PML (MPML) removes such instability using a nonzero damping coefficient in the direction parallel with the interface between a PML and the investigated domain. The damping ratio of MPML is the ratio between the damping coefficients along the directions parallel with and perpendicular to the interface between a PML and the investigated domain. No quantitative approach is available for obtaining these damping ratios for general anisotropic media. We develop a quantitative approach to determining optimal damping ratios to not only stabilize PMLs, but also minimize the artificial reflections from MPMLs. Numerical tests based on finite-difference method show that our new method can effectively provide a set of optimal MPML damping ratios for elastic-wave propagation in 2D and 3D general anisotropic media.