J4 ›› 2014, Vol. 41 ›› Issue (2): 178-184.doi: 10.3969/j.issn.1001-2400.2014.02.029

• 研究论文 • 上一篇    下一篇

二维半空间时域有限差分瞬态场外推方法

姜彦南1;葛德彪2;杨利霞3;于新华1   

  1. (1. 桂林电子科技大学 广西信息科学实验中心,广西 桂林  541004;
    2. 西安电子科技大学 物理与光电工程学院,陕西 西安  710071;
    3. 江苏大学 计算机科学与通信工程学院,江苏 镇江  212013)
  • 收稿日期:2013-05-20 出版日期:2014-04-20 发布日期:2014-05-30
  • 通讯作者: 姜彦南
  • 作者简介:姜彦南(1980-),男,副教授,博士,E-mail: ynjiang@guet.edu.cn.
  • 基金资助:

    国家自然科学基金资助项目(61001020, 61072002, 61161002);广西自然科学基金资助项目(2010GXNSFB013049);广西信息科学实验中心资助项目(20130306)

Extrapolation to the transient field for FDTD in two-dimensional half-space

JIANG Yannan1;GE Debiao2;YANG Lixia3;YU Xinhua1   

  1. (1. Guangxi Experiment Center of Information Science, Guilin Univ.y of Electronic Technology, Guilin  541004, China;
    2. School of Physics and Optoelectronic Engineering, Xidian Univ., Xi'an  710071, China;
    3. School of Computer Science and Communication Engineering, Jiangsu Univ., Zhenjiang  212013, China)
  • Received:2013-05-20 Online:2014-04-20 Published:2014-05-30
  • Contact: JIANG Yannan

摘要:

提出用于二维半空间时域有限差分的瞬态场外推计算方法. 该方法把上半空间远区场分作3部分:第1部分是上半空间外推边界上电磁流辐射场沿直达波路径的贡献;第2部分是该电磁流辐射场沿反射波路径的贡献;第3部分是下半空间外推边界上电磁流辐射场沿透射波路径的贡献. 关于后两部分的计算要点是: 用斯奈尔定律确定外推边界上电磁流辐射场的反射点和透射点,并把它们投影至沿观察点方向的时间盒子中;计算电磁波从等效源至反射点或透射点所需的时间,以此确定真正的投影时间盒子;用相应极化波的反射或透射系数作为沿反射或透射路径对远场贡献的比例系数;最后用两个模型验证二维半空间瞬态场外推算法.计算结果与已报道成果具有很好的一致性.

关键词: 时域有限差分方法, 半空间, 瞬态, 外推

Abstract:

An algorithm for extrapolating the transient field in two-dimensional half-space for the finite-difference time-domain(FDTD) method is firstly presented. In this algorithm, the far-zone scattered field consists of three parts. The first two parts of the field are generated by the equivalent electromagnetic currents at the extrapolation bound in upper space, propagating along the paths of directed and reflected waves, respectively. And the third part is resulted by that currents at that bound in lower space, its propagation following the path of the transmitted wave. To caculate the latter two parts, the reflection and transmission points should be determined with the knowledge of Snell's law and then projected on to the observation time bins, moreover the proper time of the wave propagating from the equivalent source to those points should also be worked out and used to delay those bins, with the reflection or transmission coefficients used as the contribution factor to the far field. Then the proposed algorithm is validated by the applying far-zone scattered fields to two examples.

Key words: FDTD method, half-space, transient, extrapolation

中图分类号: 

  • 中图分类号:TN011