Journal of Xidian University

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Implementation of UPML absorbing boundary conditions in DGTD method

LI Linqian1,2;WEI Bing1,2;YANG Qian1,2;GE Debiao1,2   

  1. (1. School of Physics and Optoelectronic Engineering, Xidian Univ., Xi'an 710071, China;
    2. Collaborative Innovation Center of Information Sensing and Understanding, Xidian Univ., Xi'an 710071, China)
  • Received:2015-10-05 Online:2016-12-20 Published:2017-01-19

Abstract:

For the DGTD-UPML absorb boundary condition,the basic theory of UPML in the TM case is studied and implementationis presented. By lessons from the ideas of impedance matching, anisotropic parameters set and matched matrix in the FDTD method, based on the characteristics of the unstructured meshing and features of flux transfer among the elements, the formulas for wave propagation in the UPML are presented, and then the iterative formulas are derived. Compared with the generalreflectivity of -24dB in the first step SMABC due to the discretization of the unstructured grid in the DGTD, the double attenuation of 130dB demonstrates the good absorption of the 2D UPML layer for the electromagnetic wave.

Key words: discontinuous Galerkin time domain(DGTD), uniaxial anisotropy perfectly matched layer(UPML), TM wave


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