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高阶FDTD方法在三维散射问题中的应用 被引量：2

High-order FDTD for calculating three-dimensional scattering problems
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摘要 从麦氏方程出发,详细推导了三维情形下散射问题中高阶FDTD方法的迭代公式,并实现了该方法对应的高阶PML吸收边界条件;在此基础上,对传统近远场外推公式进行了改进,将三次递归多项式理论与传统外推方法结合,提出了高阶外推方法,并将所作的改进对三维导体和介质目标的电磁散射特性进行了数值验证。 The high-order FDTD formulation of three-dimensional scattering problems based on Maxwell＇s equations is introduced in detail and the PML absorbing boundary conditions corresponding to this method is presented. To improve the accuracy, the cubic polynomial interpolation method is combined with the near-to-far field transform theory. The scattering feature of three targets is computed with the new method. Numerical results are compared with the results obtained by the traditional FDTD method.
作者 王志 江谷传
机构地区 安徽新华学院电子通信工程学院
出处 《合肥工业大学学报（自然科学版）》 CAS CSCD 北大核心 2009年第11期1776-1779,共4页 Journal of Hefei University of Technology：Natural Science
基金 国家自然科学基金资助项目(60671051)
关键词 高阶时域有限差分 理想匹配层 近远场外推 high-order finite difference time domain（FDTD） perfectly matched layer near-to-far field transform
分类号 TN011 [电子电信—物理电子学]
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参考文献7

  • 1Taflove A. Computational electrodynamics: the finite difference time domain method[M]. Norwood, MA:Artech House, 1995: 45-300.
  • 2Taflove A. Advances in computational electromagnetics: the FDTD method[M]. Norwood, MA: Arteeh House, 1998: 130-256.
  • 3Lan K, Liu YW, Lin W G. A higher order(2,4) scheme forreducing dispersion in FDTD algorithm[J]. IEEE Trans Electromagnetic Compatibility, 1999, 41 ( 2 ) 160-165.
  • 4Fang J. Time domain finite difference computation for Maxwell's equations [D]. Univ California, Berkeley, CA, 1989.
  • 5Gedney S D. An anisotropic perfectly matched layer absorbing media for the truncation of FDTD lattices[J]. IEEE Trans Antennas Propagat, 1996, AP - 44 (12) : 1630-1639.
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同被引文献18

  • 1马志华,陈红全,吴晓军.求解Euler方程的无网格与有限体积混合算法研究(英文)[J].Chinese Journal of Aeronautics,2006,19(4):286-294. 被引量：4
  • 2赵美玲,聂玉峰,林世明.电磁场计算中的MLPG-FE耦合新方法[J].电波科学学报,2006,21(6):959-964. 被引量：3
  • 3Yee 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 (5) :302-307.
  • 4Okoniewski M, Okoniewska E, St uchly M A. Three-dimen- sional subgridding algorithm for FDTD[J]. IEEE Transac- tions on Antennas and Propagation 1997,45 (3) : 422-429.
  • 5Chevalier M W, Luebbers R J, Cable V P. FDTD local gridwith materials transverse[J]. IEEE Transactions Antennas and Propagat, 1997,45(3) : 411-421.
  • 6Sullivan D M. Electromagnetic simulation using the FDTD method[M]. New York: Wiley-IEEE Press, 2000 : 34- 147.
  • 7Fang J. Time domain finite difference computation for Max- well ' s equations[D]. Berkeley: Univ California, 1989.
  • 8Yefet A, Petropoulos P G. A staggered fourth-order accu- rate explicit finite difference scheme for the time-domain Maxwell's equations[J]. Journal of Computational Physics, 2001,168(2) : 286-315.
  • 9Zhao S,Wei G W. High-order FDTD methods via derivative matching for Maxwell s equations with material interfaces [J]. Journal of Computational Physics, 2004, 200 (1): 60-103.
  • 10Georgakopoulos S V, Birtcher C R, Balanis C A, et al. HIRF penetration and PED coupling analysis for scaled fuselage models using a hybrid subgrid FDTD(2, 2)/FDTD(2, 4) method[J]. IEEE Transactions on Electromagnetic Compat- ibility, 2003,45 (2) 293 - 305.

引证文献2

合肥工业大学学报（自然科学版）
2009年 第11期

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