摘要
针对复杂色散介质电磁特性分析问题,提出一种新的、高稳定通用时域有限差分法.该方法从二阶复有理函数形式的极化率函数入手,将纽马克算法同时作用于极化矢量与电场的时域关系式两边,得到显式时域有限差分时域递推公式,并从理论和数值两方面对该算法的稳定性进行了分析.该方法不仅可作为处理包括复共轭极点-留数、临界点、修正洛伦兹以及二阶复有理函数等复杂色散介质问题的通用时域有限差分方法,而且具有更高的稳定性.
A novel finite-difference time-domain（FDTD）approach for analyzing a complicated dispersion model is presented.Starting from the susceptibility in the quadratic rational function form,the explicit FDTD time-step formula is obtained by applying the Newmark algorithm to both sides of the relation equation with the polarization vector and electric field in the time domain.Then,the stability of the presented algorithm is investigated from two aspects of theory and numerical computation.It is observed that this method has the advantages of generality and high stability and can thus be applied to the treatment of many complicated dispersion models,including the complex conjugate pole residue model,the critical point model,the modified Lorentz model,the complex quadratic rational function,etc.
作者
张玉强
葛德彪
ZHANG Yuqiang;GE Debiao(School of Physics and Electronic Information,Yan＇an Univ.,Yah＇an 716000,China;School of Physics and Optoelectronic Engineering,Xidian Univ.,Xi＇an 710071,China)
出处
《西安电子科技大学学报》
EI
CAS
CSCD
北大核心
2018年第4期118-122,173,共6页
Journal of Xidian University
基金
国家自然科学基金资助项目(61401344
61701428)
陕西省高水平大学建设专项资金资助项目(2015SXTS02)
关键词
复杂色散模型
纽马克算法
时域有限差分法
稳定性分析
complicated dispersive model
Newmark algorithm
finite-difference time-domain （FDTD）method
stability analysis
作者简介
张玉强（1970-）,男,副教授,博士,E-mail：ya_zyq@aliyun.com.
