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Volume 27 Issue 10
Oct.  2005
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Wang Yu, Yuan Nai-chang. PML Implementation for ADI-FDTD in Dispersive Media[J]. Journal of Electronics & Information Technology, 2005, 27(10): 1677-1680.
Citation: Wang Yu, Yuan Nai-chang. PML Implementation for ADI-FDTD in Dispersive Media[J]. Journal of Electronics & Information Technology, 2005, 27(10): 1677-1680.

PML Implementation for ADI-FDTD in Dispersive Media

  • Received Date: 2004-04-26
  • Rev Recd Date: 2004-11-08
  • Publish Date: 2005-10-19
  • Alternating Direction Implicit-Finite Difference Time Domain(ADI-FDTD) is unconditionally stable and the maximum time step size is not limited by the Courant stability condition, but rather by numerical error. Compared with the conventional FDTD method, the time step size of ADI-FDTD can be enlarged arbitrarily. In this paper 2D PML implementation is proposed for ADI-FDTD in dispersive media using recursive convolution method. ADI-FDTD formulations for dispersive media can be derived from the simplified Perfectly Matched Layer (PML). Numerical results of ADI-FDTD with PML for dispersive media are compared with FDTD. Good agreement is observed.
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  • Yee K S. Numerical solution of initial boundary problems involving Maxwells equations in isotropic media. IEEE Trans on AP, 1966, 14(4): 302-307.[2]Takefumi Namiki. A new FDTD algorithm based on alternating direction implicit method[J].IEEE Trans. on MTT.1999, 47(10):2003-2007[3]Takefumi Namiki. 3D ADI-FDTD methodunconditionally stable time domain algorithm for solving full vector Maxwells equations[J].IEEE Trans. on MTT.2000, 48(10):1743-1748[4]Zheng Fenghua, Chen Zhizhang, Zhang Jiazong. Toward the development of three-dimensional unconditionally stable finite difference time domain method[J].IEEE Trans. on MTT.2000, 48(9):1550-1558[5]Wang Shumin, Teixeira F L. An efficient PML implementation for the ADI-FDTD method. IEEE MGWL, 2003, 13(2): 72-74.[6]Gedney S D, et al. Perfectly matched layer media with CFS for an[7]unconditionally stable ADI-FDTD method. IEEE Trans on AP,[8]01, 49(11): 1554-1559.[9]Liu Gang, Gedney S D. Perfectly matched layer media for an unconditionally stable three-dimensional ADI-FDTD method. IEEE MGWL, 2000, 10(7): 261-263.[10]Luebbers R. A frequency-dependent finite difference time domain formulation for dispersive materials. IEEE Trans. on EMC, 1990, 32(3): 222-227.[11]Uno T. Perfectly matched layer absorbing boundary condition for dispersive medium. IEEE MGWL, 1997, 7(9): 264-266.
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