The limitations of the perfectly matched layers based onE-H fields for arbitrary anisotropic media?Reply to ?Comment on ?On the Matching Conditions of Different PML Schemes Applied to Multilayer Isotropic Dielectric Media??

2001 ◽  
Vol 32 (3) ◽  
pp. 237-241 ◽  
Author(s):  
An Ping Zhao
Keyword(s):  
Anisotropic Media ◽  
Perfectly Matched Layers ◽  
Matching Conditions ◽  
Dielectric Media ◽  
Matched Layers

scholarly journals Optimal damping profile ratios for stabilization of perfectly matched layers in general anisotropic media

Geophysics ◽  
2018 ◽  
Vol 83 (1) ◽  
pp. T15-T30 ◽  
Author(s):  
Kai Gao ◽  
Lianjie Huang
Keyword(s):  
Anisotropic Media ◽  
Complex Frequency ◽  
System Matrix ◽  
Perfectly Matched Layers ◽  
Numerical Examples ◽  
Damping Coefficients ◽  
Optimal Damping ◽  
The Stability ◽  
2D And 3D ◽  
Matched Layers

Conventional perfectly matched layers (PMLs) can be unstable for certain kinds of anisotropic media. The multiaxial PML removes such instability using nonzero damping coefficients in the directions tangential with the PML interface. Although using nonzero damping profile ratios can stabilize PMLs, it is important to obtain the smallest possible damping profile ratios to minimize artificial reflections caused by these nonzero ratios, particularly for 3D general anisotropic media. Using the eigenvectors of the PML system matrix, we have developed a straightforward and efficient numerical algorithm to determine the optimal damping profile ratios to stabilize PMLs in 2D and 3D general anisotropic media. Numerical examples indicate that our algorithm provides optimal damping profile ratios to ensure the stability of PMLs and complex-frequency-shifted PMLs for elastic-wave modeling in 2D and 3D general anisotropic media.

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