Convolutional Perfectly Matched Layer (CPML) for the Pseudospectral Time-Domain (PSTD) Method
关键词:
Convolutional perfectly matched layer (CPML), pseudospectral time-domain (PSTD) algorithm摘要
In this paper, a perfectly matched layer (PML) medium with complex frequency shifted (CFS) constitutive parameters is introduced into the two-dimensional pseudospectral time-domain (PSTD) algorithm. The absorbing performance and computational efficiency of the method are illustrated by comparing with the PML method. It shows that no matter what spatial discretization is used, the reflection relative error of convolutional perfectly matched layer (CPML) is almost the same as that of the PML method. The total flops counts of the PSTD-CPML method are reduced from 49 to 34 compared with that of the PSTDPML method. This corresponds to an efficiency gain of 1.44 in flops count reduction for the PSTD-CPML method.
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参考
Q. H. Liu, “The PSTD algorithm: A time-domain method requiring only two cells per wavelength,” Microwave Opt. Technol. Lett., vol. 15, pp. 158- 165, 1997.
Q. Li and Y. Chen, “Application of the PSTD for scattering analysis,” IEEE Trans. Antennas Propagat., vol. 50, pp. 1317-1319, 2002.
Q. H. Liu and G. Fan, “A frequency-dependent PSTD algorithm for general dispersive media,” IEEE Microwave Guided Wave Lett., vol. 9, pp. 51-53, 1999.
Z. Lin, Y. Jia, P. Ou, and C. Zhang, “A Fullspectrum numerical-dispersion compensation Technique for the Pseudospectral time-domain method,” IEEE Antennas and Wireless Propagation Lett., vol. 11, pp. 212-215, 2012.
J. P. Berenger, “A perfectly matched layer for the absorption of electromagnetic waves,” J. Comput. Phys., vol. 114, pp. 185-200, 1994.
J. P. Berenger, “Improved PML for the FDTD solution of wave-structure interaction problems,” IEEE Trans. Antennas Propagat., vol. 45, pp. 466- 473, 1997.
J. P. Berenger, “An effective PML for the absorption of evanescent waves in waveguides,” IEEE Microwave Guided Wave Lett., vol. 8, pp. 188-190, 1998.
J. A. Roden and S. D. Gedney, “Convolutional PML (CPML): An efficient FDTD implementation of the CFS-PML for arbitrary media,” Microwave Opt. Technol. Lett., vol. 27, pp. 334-339, 2000.
M. Kuzuoglu and R. Mittra, “Frequency dependence of the constitutive parameters of causal perfectly matched anisotropic absorbers,” IEEE Microwave Guided Wave Lett., vol. 6, pp. 447-449, 1996.
J. P. Bérenger, “Application of the CFS PML to the absorption of evanescent waves in waveguides,” IEEE Microwave and Wireless Components Lett., vol. 12, pp. 218-220, 2002.
M. F. Hadi, “Near-field PML optimization for low and high order FDTD algorithms using closedform predictive equations,” IEEE Trans. Antennas Propagat., vol. 59, pp. 2933-2941, 2011.
