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高阶ADI-FDTD算法的数值色散分析

徐利军 袁乃昌

徐利军, 袁乃昌. 高阶ADI-FDTD算法的数值色散分析[J]. 电子与信息学报, 2005, 27(10): 1662-1665.
引用本文: 徐利军, 袁乃昌. 高阶ADI-FDTD算法的数值色散分析[J]. 电子与信息学报, 2005, 27(10): 1662-1665.
Xu Li-jun, Yuan Nai-chang. Analysis of the Numerical Dispersion of Higher Order ADI-FDTD[J]. Journal of Electronics & Information Technology, 2005, 27(10): 1662-1665.
Citation: Xu Li-jun, Yuan Nai-chang. Analysis of the Numerical Dispersion of Higher Order ADI-FDTD[J]. Journal of Electronics & Information Technology, 2005, 27(10): 1662-1665.

高阶ADI-FDTD算法的数值色散分析

Analysis of the Numerical Dispersion of Higher Order ADI-FDTD

  • 摘要: 该文给出高阶交替方向隐时域优先差分(ADI-FDTD)算法,即在ADI-FDTD迭代公式的基础上对时间的差分仍然采用二阶中心差分格式,而对空间的差分则采用四阶中心差分格式,并解析地证明了所给出的高阶ADI-FDTD算法仍然满足无条件稳定方程,同时对增长因子相位的分析,得到数值色散关系,最后对其数值色散误差进行了分析,研究表明与普通ADI-FDTD相比,其色散误差较小。
  • Yee K S. Numerical solution of initial boundary value problem involving Maxwells equations in isotropic media [J]. IEEE Trans. on AP., 1966, 14(5): 302-307.[2]Krumpholz M, Katehi L P B. MRTD: New time-domain schemes based on multiresolution analysis [J].IEEE Trans. on Microwave Theory Tech.1996, 44(4):555-571[3]Liu Q H. The pseudospectral time-domain (PSTD) method: A new algorithm for solution of Maxwells equations [C] Proc. IEEE Antennas and Propag. Soc. Int. Symp., 1997, 1: 122-125.[4]Kondylis G D, De Flaviis F, Pottie G J, et al.. A memory-efficient[5]formulation of the finite-difference time-domain method for thesolution of Maxwells equations [J]. IEEE Trans[J].on Mcrowave Theor Tech.2001, 49(7):1310-1320[6]Zheng F, Chen Z, Zhang J. A finite-difference time-domain method without the Courant stability conditions [J].IEEE Microw Guided Wave Lett.1999, 9(11):441-443[7]Zheng F, Chen Z, Zhang J. Toward the development of a three-dimensional unconditionally stable finite-difference time-do[8]main method [J]. IEEE Trans[J].on Microwave Theory Tech.2000, 48(9):1550-1558[9]Namiki T. A new FDTD algorithm based on alternating-direction[10]implicit method [J]. IEEE Trans[J].on Microwave Theory Tech.1999, 47(10):2003-2007[11]Namiki T. 3-D ADI-FDTD method Unconditionally stable time-domain algorithm for solving full vector Maxwells equations [J].IEEE Trans. on Microwave Theory Tech.2000, 48(10):1743-1748[12]Namiki T, Ito K. Investigation of numerical errors of the two-[13]dimensional ADI-FDTD method [J]. IEEE Trans[J].on Microwave Theory Tech.2000, 48(11):1950-1956[14]Georgakopoulos S V, Birtcher C B, et al.. Higher-order finite-difference schemes for electromagnetic radiation, scattering, and penetration, part I: theory[J]. IEEE Trans.on AP, Magazine, 2002, 49(1): 134-142.[15]Sun G and Trueman C W. Analysis and numerical experiments on the numerical dispersion of two-dimensional ADI-FDTD [J].IEEE Antennas and Wireless Propagation Lett.2003, 2(7):78-81
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出版历程
  • 收稿日期:  2004-05-08
  • 修回日期:  2004-08-30
  • 刊出日期:  2005-10-19

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