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一维ADI-FDTD方法的数值色散分析 被引量：1

Analysis on Numerical Dispersion of One-dimensional ADI-FDTD Method
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摘要 给出了交替变向隐式时域有限差分法(ADI-FDTD)的一维差分格式,利用增长矩阵推导了数值色散关系式。将其与过去研究中给出的色散关系式进行了比较。利用牛顿迭代法对其进行了全面的分析,发现了时间步长的选取与网格、色散误差的大小有一定的联系。 The difference equations of one dimensional ADI-FDTD method are presented and the numernical dispersion relation is derived by amplification matrix method.The proposed analytical relation for 1-D ADI-FDTD is compared with the relation in the previous works.It analyses the relation by Newton's iteration method,which shows the select of the time step has a relation with the mesh size and dispersion error.
作者 夏冬 党涛 郑宏兴
机构地区 中国民用航空学院通信与信息处理研究所
出处 《中国民航学院学报》 2005年第2期38-41,共4页 Journal of Civil Aviation University of China
基金 中国博士后科学基金项目(2003033028) 国家自然科学基金项目(60472125)
关键词 时域有限差分法 交替变向隐式时域有限差分法 数值色散 牛顿迭代 色散误差 FDTD method ADI-FDTD method numerical dispersion Newton's iteration method dispersion error
分类号 O441 [理学—电磁学]
  • 相关文献

参考文献8

  • 1Taflove A.Computational Electrodynamics[M].Norwood,MA:Artech House, 1995.
  • 2Namiki T.A new FDTD algorithm based on alternating direction implicit method [ J ]. IEEE Trans. Microwave Theory Tech, 1999,47(10) :2003-2007.
  • 3Namiki T. 3-D ADI-FDTD method-unconditionally stable timedomain algorithm for solving full vector Maxwell's equations[J].IEEE Trans Microwave Theory Tech,2000,48 (10):1773--1748.
  • 4Zhao A P.Analysis of the numerical dispersion of the 2-D alternating-direction implicit FDTD method[J].IEEE Trans Microwave Theory Tech,2002,50( 4 ) : 1156--1164.
  • 5Sun Guilin,Trueman Christopher W.Analysis and numerical experiments on the numerical dispersion of two-dimensional ADI-FDTD[J].IEEE Antennas and Wireless Propagation Letters ,2003, (2) :78--81.
  • 6党涛,郑宏兴.关于二维ADI-FDTD方法的数值色散分析[J].中国民航学院学报,2004,22(2):42-46. 被引量：2
  • 7Zheng F,Chen Z.Numerical dispersion analysis of the unconditionally stable 3-D ADI-FDTD method [J].IEEE Microwave Theory Tech ,2001,49(5 ) : 1006--1009.
  • 8Sun Guilin,Trueman Christopher W.Some fundamental characteristics of the one-dimensional alternate-direction-lmplicit finite-difference time-domain method[J].IEEE Antennas and Wireless Propagation Letters ,2004,52(1) :46--52.

二级参考文献16

  • 1陈宝林.最优化理论与算法[M].北京:清华大学出版社,2002.397-431.
  • 2Taflove A.Computational Electrodynamics[M].Norwood,MA:Artech House, 1995.
  • 3Namiki T. A new FDTD algorithm based on alternating direction implicit method[J]. IEEE Trans Microwave Theory Tech,1999,47(10) :2003-2007.
  • 4Namiki T. 3-D ADI-FDTD method-unconditionally stable time-domain algorithm for solving full vector maxwell's equations[J].IEEE Trans Microwave Theory Tech,2000 , 48( 10 ) : 1743-1748.
  • 5Namiki T,ho K.Investigation of numerical errors of the two-dimensional ADI-FDTD Method[J].IEEE Trans Microwave Theory Tech, 2000,48 ( 11 ) : 1950- 1956.
  • 6Zhao A P.Analysis of the numerical dispersion of the 2-D alternating-direction implicit FDTD method[J]. IEEE Trons Microwave Theory Tech,2002,50( 4 ) : 1156-1164.
  • 7Zheng F,Chen Z. Numerical dispersion analysis of the unconditionally stable 3-D ADI-FDTD method [J]. IEEE Trans Microwave Theory Tech ,2001, 49( 5 ) : 1006-1009.
  • 8Guilin S,Christopher W T.Analysis and numerical experiments on the numerical dispersion of two-dimensional ADI-FDTD[.I].IEEE Antennas and Wireless Propagation Letters,2003,2(7):78-81.
  • 9Taflove A.Computational Electrodynamics[M].Norwood,MA:Artech House, 1995.
  • 10Namiki T. A new FDTD algorithm based on alternating direction implicit method[J]. IEEE Trans Microwave Theory Tech,1999,47(10) :2003-2007.

共引文献1

同被引文献8

  • 1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. 被引量：2
  • 2YEE K S. Numerical solution of initial boundary value prob.lems involving Maxwell′ s equations in isotropic media [J].IEEE Transactions on Antennas and Propagation, 1966, 14(3):302-307.
  • 3TAFLOVE A,HAGNESS S C. Computational electrodynamics:the finite.difference time.domain method [M]. 2nd ed. Boston:Artech House,2000.
  • 4LEE J,FORNBERG B. A split step approach for the 3.D Max.well′ s equations [J]. Journal of Computational and AppliedMathematics,2003,158(2):485-505.
  • 5SMITH G D. Numerical solution of partial differential equa.tions:finite difference methods [M]. 3rd ed. Oxford:OxfordUniversity Press,1986.
  • 6SMITH G D. Numerical solution of partial differential equa.tions [M]. Oxford:Oxford University Press,1978.
  • 7PEREDA J A,VIELVA L A,VEGAS A,et al. Analyzingthe stability of the FDTD technique by combining the VonNeumann method with the Routh.Hurwitz criterion [J]. IEEETransactions on Microwave Theory and Techniques,2001,49(2):377-381.
  • 8党涛,郑宏兴.关于二维ADI-FDTD方法的数值色散分析[J].中国民航学院学报,2004,22(2):42-46. 被引量：2

引证文献1

中国民航学院学报
2005年 第2期

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