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Unsplit complex frequency shifted perfectly matched layer for second-order wave equation using auxiliary differential
Yingjie Gao1, Jinhai Zhang1, Zhenxing Yao1
1Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing, China gaoyingjie@mail.iggcas.ac.cn, zjh@mail.iggcas.ac.cn, yaozx@mail.iggcas.ac.cn.
Abstract:
The complex frequency shifted perfectly matched layer (CFS-PML) can improve the absorbing performance of PML for nearly grazing incident waves. However, traditional PML and CFS-PML are based on first-order wave equations; thus, they are not suitable for second-order wave equation. In this paper, an implementation of CFS-PML for second-order wave equation is presented using auxiliary differential equations. This method is free of both convolution calculations and third-order temporal derivatives. As an unsplit CFS-PML, it can reduce the nearly grazing incidence. Numerical experiments show that it has better absorption than typical PML implementations based on second-order wave equation.
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