基于Z变换的高阶完全匹配层实现

计算物理 ›› 2012, Vol. 29 ›› Issue (2): 271-276.

基于Z变换的高阶完全匹配层实现

冯乃星, 李建雄

天津工业大学电子与信息工程学院, 天津 300387

收稿日期:2011-04-25 修回日期:2011-07-27 出版日期:2012-03-25 发布日期:2012-03-25
作者简介:冯乃星,male,master,research in computational electromagnetics and FDTD algorithm,E-mail:fengnaixing@yeah.net
基金资助:
Higher Education Institutions Science & Technology Development FundPlanning Project of Tianjin(20090711);National Natural Science Foundation of China(61001042);Natural Science Foundation of Tianjin(09JCYBJC15500)

A Z-transform Implementation of Higher-order Perfectly Matched Layer

FENG Naixing, LI Jianxiong

School of Electronics and Information Engineering, Tianjin Polytechnic University, Tianjin 300387, China

Received:2011-04-25 Revised:2011-07-27 Online:2012-03-25 Published:2012-03-25
Supported by:
Higher Education Institutions Science & Technology Development FundPlanning Project of Tianjin(20090711);National Natural Science Foundation of China(61001042);Natural Science Foundation of Tianjin(09JCYBJC15500)

摘要/Abstract

摘要： 基于拉伸坐标完全匹配层(SC-PML)公式和Z变换方法,提出以非分裂场形式来实现具有多极点的高阶完全匹配层的高效算法,来截断时域有限差分(FDTD)网格.在吸收性能方面,高阶PML同时具有传统PML和复频率偏移完全匹配层(CFS-PML)二者的优点.提供的数值算例是二维TE极化电磁波与无限长且有限宽度的理想电导体(PEC)薄片的相互作用.仿真结果显示,高阶PML公式在衰减低频行波和隐失波及减少后期反射方面效果好,比传统SC-PML和复频率偏移的卷积完全匹配层(CPML)算法有更好的吸收性能.

关键词: 完全匹配层(PML), 时域有限差分法(FDTD), Z变换方法

Abstract: With stretched coordinate perfectly matched layer (SC-PML) formulations and Z-transform method,an efficient and unsplit-field implementation of higher-order PML scheme with more than one pole is proposed which truncates finite-difference time-domain (FDTD) lattices.The higher-order PML has advantages of both conventional PML and complex frequency shifted PML (CFS-PML) in terms of absorbing performances.A numerical validation of the proposed formulations is provided through a 2D TE-polarized electromagnetic wave interaction with an infinitely long perfectly electric conductor (PEC) sheet with finite width.It is shown that the proposed PML formulations with higher-order scheme are efficient in terms of attenuating low-frequency propagating waves and evanescent waves and reducing late-time reflections.It has better absorbing performances than conventional SC-PML and convolutional PML (CPML) with CFS scheme.

Key words: perfectly matched layer (PML), finite-difference time-domain (FDTD), Z-transform method

中图分类号:

O441.4

冯乃星, 李建雄. 基于Z变换的高阶完全匹配层实现[J]. 计算物理, 2012, 29(2): 271-276.

FENG Naixing, LI Jianxiong. A Z-transform Implementation of Higher-order Perfectly Matched Layer[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2012, 29(2): 271-276.