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International Journal of Antennas and Propagation
Volume 2017 (2017), Article ID 6358561, 8 pages
Research Article

Implementation of an Approximate Conformal UPML in 2-D DGTD

Linqian Li,1,2 Bing Wei,1,2 Qian Yang,1,2 and Debiao Ge1,2

1School of Physics and Optoelectronic Engineering, Xidian University, Xi’an 710071, China
2Collaborative Innovation Center of Information Sensing and Understanding, Xidian University, Xi’an 710071, China

Correspondence should be addressed to Linqian Li

Received 26 May 2017; Revised 26 October 2017; Accepted 12 November 2017; Published 17 December 2017

Academic Editor: Ikmo Park

Copyright © 2017 Linqian Li et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Using the numerical discrete technique with unstructured grids, conformal perfectly matched layer (PML) absorbing boundary in the discontinuous Galerkin time-domain (DGTD) can be set flexibly so as to save lots of computing resources. Based on the DGTD equations in an orthogonal curvilinear coordinate system, the processes of parameter transformation for 2-D UPML between the coordinate systems of elliptical and Cartesian are given; and the expressions of transition matrix are derived. The calculation scheme of conductivity distribution in elliptic cylinder absorbing layer is given, and the calculation coefficient of DGTD in elliptic UPML is calculated. Furthermore, the 2-D iterative formulas of DGTD and that of auxiliary equation in the elliptical cylinder UPML are derived; the conformal UPML calculation in DGTD is realized. Numerical results show that very good accuracy and computational efficiency are achieved by using the method in this paper. Compared to the rectangular computational region, both the memory and computation time of conformal UPML absorbing boundary are reduced by more than 20%.