title: Unsplit complex frequency shifted perfectly matched layer for second-order wave equation using auxiliary differential equations.
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.
authors.affiliation: Institute 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.
authors.forename: Yingjie
authors.initials: Y
authors.lastname: Gao
authors.affiliation: Institute 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.
authors.forename: Jinhai
authors.initials: J
authors.lastname: Zhang
authors.affiliation: Institute 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.
authors.forename: Zhenxing
authors.initials: Z
authors.lastname: Yao