西安电子科技大学学报

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色散手征介质FDTD分析的Newmark方法

王飞1,2;魏兵1,2;杨谦1,2;李林茜1,2   

  1. (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 信息感知技术协同创新中心,陕西 西安 710071)
  • 收稿日期:2015-12-30 出版日期:2017-02-20 发布日期:2017-04-01
  • 作者简介:王飞(1979-),男,副教授,E-mail: wfei79@126.com
  • 基金资助:

    国家自然科学基金资助项目(61401344,61571348)

FDTD formulation for dispersive chiral media using the Newmark algorithm

WANG Fei1,2;WEI Bing1,2;YANG Qian1,2;LI Linqian1,2   

  1. (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:2015-12-30 Online:2017-02-20 Published:2017-04-01

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.

关键词: Newmark方法, 色散手征介质, 电磁散射, 时域有限差分方法

Abstract:

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 chiral sphere are simulated, with the validity and feasibility performed by comparing the results with those based on the exact solutions.

Key words: Newmark algorithm, dispersive chiral media, electromagnetic scattering, finite-difference time-domain method