二维DGTD方法中UPML吸收边界的实现

doi:10.3969/j.issn.1001-2400.2016.06.015

西安电子科技大学学报

二维DGTD方法中UPML吸收边界的实现

李林茜1,2;魏兵1,2;杨谦1,2;葛德彪1,2

(1. 西安电子科技大学物理与光电工程学院，陕西西安 710071;
2. 西安电子科技大学信息感知协同创新中心，陕西西安 710071)

收稿日期:2015-10-05 出版日期:2016-12-20 发布日期:2017-01-19
作者简介:李林茜(1985-)，男，西安电子科技大学博士研究生，E-mail: 395106835@qq.com．
基金资助:
国家自然科学基金资助项目(61231003，61571348，61401344)

Implementation of UPML absorbing boundary conditions in DGTD method

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

(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

摘要/Abstract

摘要：

针对二维情形单轴各向异性完全匹配层吸收边界条件，研究了横磁波情形时域离散伽略金算法单轴各向异性完全匹配层吸收边界的理论基础和实现方案．借鉴时域有限差分方法——时域离散伽略金算法中吸收边界阻抗匹配、各向异性介质参数设置和匹配矩阵等思想，结合时域离散伽略金算法空间离散网格的非结构特性和离散单元之间场量传递的特点，给出了在单轴各向异性完全匹配层中电磁场量时域迭代公式，进一步离散成为离散时域迭代计算式．由于时域离散伽略金算法网格的非结构特性，一阶SM吸收边界条件一般对入射电磁波的反射率在-24dB左右．仿真算例说明，给出的时域离散伽略金算法单轴各向异性完全匹配层吸收边界对电磁波的双重衰减达130dB，表明单轴各向异性完全匹配层具有良好的吸收效果．

关键词: 时域离散伽略金方法, 单轴各向异性完全匹配层, 横磁波

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

李林茜;魏兵;杨谦;葛德彪. 二维DGTD方法中UPML吸收边界的实现[J]. 西安电子科技大学学报, 2016, 43(6): 86-90.

LI Linqian;WEI Bing;YANG Qian;GE Debiao. Implementation of UPML absorbing boundary conditions in DGTD method[J]. Journal of Xidian University, 2016, 43(6): 86-90.

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二维DGTD方法中UPML吸收边界的实现

Implementation of UPML absorbing boundary conditions in DGTD method

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