Bilinear Transform Implementation of the SC-PML for General Media and General FDTD Schemes
Bilinear Transform Implementation of the SC-PML for General Media and General FDTD Schemes
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用于通用媒体和通用 FDTD 方案的 SC-PML 双线性变换实现
DOI：
10.1109/temc.2011.2175229
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发表时间：
2012-04
影响因子：
2.1
通讯作者：
中科院分区：
文献类型：
--
作者：
以基于拉伸坐标和双线性变换方法实现的复频移完全匹配层(CFS-PML)为吸收边界条件，提出了一种适用于一般FDTD空间格式和一般媒质的统一的FDTD算法。所提出的FDTD-PML算法采用了任意线性色散介质介电常数的一般表达式，并考虑了非线性效应。本文使用的双线性变换比常用的前向、后向和中心差分格式具有更好的精度。与CFS-PML的递归卷积实现相比，双线性变换实现所涉及的FDTD表达式要简单得多，并且在相同的计算量下具有更好的吸收性能。通过对各向异性媒质、德拜媒质、Drude媒质和Kerr非线性媒质的二维和三维数值模拟，验证了所提算法的有效性，并指出了CFS-PML的双线性变换实现的优越性。采用基于小波的高阶FDTD格式对洛伦兹媒质进行了仿真计算，验证了该方法的准确性和有效性。
With the complex-frequency-shifted perfectly matched layer (CFS-PML) implemented based on both the stretched coordinates and the bilinear transform method as the absorbing boundary condition (ABC), a novel unified finite-difference time-domain (FDTD) algorithm is developed for general FDTD spatial schemes and general media. The proposed FDTD-PML algorithm employs a general expression for the permittivity of arbitrary linear dispersive media and also takes the nonlinear effects into account. The bilinear transform used in this paper has better accuracy than the frequently used forward, backward, and central difference schemes. Compared with the recursive convolution implementation of the CFS-PML, the bilinear transform implementation involves much simpler FDTD expressions and has better absorbing performance with the same computational cost. Several two-dimensional (2-D) and 3-D simulations involving the anisotropic media, the Debye media, the Drude media, and the Kerr nonlinear media have been done to validate the presented algorithm, and indicate the advantages of the bilinear transform implementation of the CFS-PML. A simulation involving the Lorentz media calculated with the proposed algorithm adopting the wavelet-based high-order FDTD scheme is also included to validate the accuracy and effectiveness of the developed method.
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影响因子：
5.7
作者：
F. Teixeira
通讯作者：
F. Teixeira
DOI：
--
发表时间：
1992
期刊：
--
影响因子：
--
作者：
J. Proakis;D. Manolakis
通讯作者：
J. Proakis;D. Manolakis
DOI：
10.1364/josaa.11.001802
发表时间：
1994-06
影响因子：
1.9
作者：
C. Hulse;A. Knoesen
通讯作者：
C. Hulse;A. Knoesen
影响因子：
2.1
作者：
F. Teixeira;W. Chew;M. Oristaglio;T. Wang
通讯作者：
F. Teixeira;W. Chew;M. Oristaglio;T. Wang
影响因子：
4.1
作者：
BERENGER, JP
通讯作者：
BERENGER, JP