摘要
基于Newmark算法,给出一种处理色散手征介质电磁问题的显式时域有限差分方法.根据色散手征介质电磁参数特点,在本构关系中定义了4个中间变量,并建立对应的辅助微分方程;然后,将动力学经典Newmark步进算法应用于辅助微分方程;最后,结合本构关系和麦克斯韦旋度方程实现了色散手征介质的时域有限差分显式迭代计算.计算了色散手征介质层的同极化和交叉极化反透射系数和色散手征介质球的双站雷达散射截面,与解析结果对比,表明该算法正确有效.
An explicit iteration finite-difference time-domain (FDTD) formulation, based on the Newmark algorithm, for dispersive chiral media is developed and presented. The auxiliary differential equations in terms of four intermediate variables, which are defined according to the media parameters of dispersive chiral media, are established. Then the classical Newmark algorithm is introduced in discretizing the auxiliary differential equations. Finally, combining with the constitutive relation and Maxwell's curl equations, the Newmark-FDTD formulation for dispersive chiral media is developed. The reflection and transmission coefficients including co-polarization and cross-polarization of a dispersive chiral slab and the bistatic radar cross-section of the dispersive ehiral sphere are simulated, with the validity and feasibility performed by comparing the results with those based on the exact solutions.
出处
《西安电子科技大学学报》
EI
CAS
CSCD
北大核心
2017年第1期40-44,124,共6页
Journal of Xidian University
基金
国家自然科学基金资助项目(61401344
61571348)
关键词
Newmark方法
色散手征介质
电磁散射
时域有限差分方法
Newmark algorithm
dispersive chiral media
electromagnetic scattering
finite-differencetime-domain method
作者简介
王飞(1979-)男,副教授,E-mail:wfei79@126.com.