Volume 30 Issue 10
Oct.  2018
Turn off MathJax
Article Contents
Wang Wenbing, Zhou Hui, Liu Yifei, et al. Performances of absorbing boundary conditions on 2-D leapfrog alternating direction implicit FDTD[J]. High Power Laser and Particle Beams, 2018, 30: 103204. doi: 10.11884/HPLPB201830.180052
Citation: Wang Wenbing, Zhou Hui, Liu Yifei, et al. Performances of absorbing boundary conditions on 2-D leapfrog alternating direction implicit FDTD[J]. High Power Laser and Particle Beams, 2018, 30: 103204. doi: 10.11884/HPLPB201830.180052

Performances of absorbing boundary conditions on 2-D leapfrog alternating direction implicit FDTD

doi: 10.11884/HPLPB201830.180052
  • Received Date: 2018-02-07
  • Rev Recd Date: 2018-06-28
  • Publish Date: 2018-10-15
  • This paper presents two kinds of absorbing boundaries for the two-dimensional (2-D) Leapfrog Alternating Direction Implicit Finite-Difference Time-Domain (Leapfrog ADI-FDTD) method—Mur boundary and CPML absorbing boundary condition. Leapfrog ADI-FDTD had unconditional stability and all the iterative equations were implicit. However, the electric and magnetic field components for the 2-D leapfrog ADI-FDTD method were updated implicitly as well as explicitly, absorbing boundary condition for difference components might keep diversity. Updating equations of CPML are presented in the paper according to its derived theory and compared with first-order Mur absorbing boundary condition. What's more, the reflection error of free space was used to represent absorbing ability of absorbing boundary condition.
  • loading
  • [1]
    葛德彪, 闫玉波. 电磁波时域有限差分法[M]. 3版. 西安: 西安电子科技大学出版社, 2011: 29-36.

    Ge Debiao, Yan Yubo. Finite-difference time-domain method for electromagnetic waves. 3rd ed. Xi'an: Xidian University Press, 2011: 29-36
    [2]
    高红友. 计算电磁学中ADI-FDTD的数值特性分析与应用[D]. 哈尔滨: 哈尔滨工程大学, 2009: 29-44.

    Gao Hongyou. The numerical characteristic analysis and application of ADI-FDTD in computational electromagnetism. Harbin: Harbin Engineering University, 2009: 29-44
    [3]
    Cooke S J, Botton M, Antonsen Jr T M, et al. A leapfrog formulation of the 3-D ADI-FDTD algorithm[J]. International Journal of Numerical Modelling, 2009, 22(2): 187-200. doi: 10.1002/jnm.707
    [4]
    Gan T H, Tan E L. Mur absorbing boundary condition for 2-D leapfrog ADI-FDTD method[C]//IEEE Asia-Pacific Conference on Antennas and Propagation. 2012: 978-979.
    [5]
    王良厚, 高春霞, 陈雨生. 卷积完全匹配层在空爆电磁脉冲2维模拟中的应用[J]. 强激光与粒子束, 2005, 17(7): 1111-1116. http://www.hplpb.com.cn/article/id/1894

    Wang Lianghou, Gao Chunxia, Chen Yusheng. Application of CPML to two-dimension numerical simulation of nuclear electromagnetic pulse from air explosions. High Power Laser and Particle Beams, 2005, 17(7): 1111-1116 http://www.hplpb.com.cn/article/id/1894
    [6]
    Wang Xianghua, Yin Wenyan, Yu Yiqiang, et al. A convolutional perfect matched layer(CPML) for one-step leapfrog ADI-FDTD method and its applications to EMC problems[J]. IEEE Trans Electromagnetic Compatibility, 2012, 54(5): 1066-1076. doi: 10.1109/TEMC.2012.2198067
    [7]
    Wang Yigang, Chen Bin, Chen Hailin, et al. One-step leapfrog ADI-FDTD method in 3-D cylindrical grids with a CPML implementation[J]. IEEE Antennas and Wireless Propagation Letters, 2014, 13: 714-717. doi: 10.1109/LAWP.2014.2315435
    [8]
    Wang Xianghua, Yin Wenyan, Chen Zhizhang. Implementation of CPML for one-step leapfrog WCS-FDTD method[J]. IEEE Microwave and Wireless Components Letters, 2015, 25(8): 496-498. doi: 10.1109/LMWC.2015.2440767
    [9]
    李志鹏, 于涛, 戚宗锋. 时域有限差分法常用吸收边界的性能分析[J]. 海军航空工程学院学报, 2016, 31(5): 506-512. https://www.cnki.com.cn/Article/CJFDTOTAL-HJHK201605002.htm

    Li Zhipeng, Yu Tao, Qi Zongfeng. Performances analysis of absorbing boundaries used commonly in finite difference time domain. Journal of Naval Aeronautical Engineering Institute, 2016, 31(5): 506-512 https://www.cnki.com.cn/Article/CJFDTOTAL-HJHK201605002.htm
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Figures(5)  / Tables(1)

    Article views (1129) PDF downloads(96) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return