中国物理B ›› 2011, Vol. 20 ›› Issue (11): 114701-114701.doi: 10.1088/1674-1056/20/11/114701

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Perfect plane-wave source for a high-order symplectic finite-difference time-domain scheme

王辉1, 黄志祥1, 任信钢1, 吴先良2   

  1. (1)Key Laboratory of Intelligent Computing & Signal Processing of Ministry of Education, Anhui University, Hefei 230039, China; (2)Key Laboratory of Intelligent Computing & Signal Processing of Ministry of Education, Anhui University, Hefei 230039, China; Department of Physics and Electronic Engineering, Hefei Normal University, Hefei 230061, China
  • 收稿日期:2011-03-31 修回日期:2011-05-09 出版日期:2011-11-15 发布日期:2011-11-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 60931002 and 61101064) and the Universities Natural Science Foundation of Anhui Province, China (Grant Nos. KJ2011A002 and 1108085J01).

Perfect plane-wave source for a high-order symplectic finite-difference time-domain scheme

Wang Hui(王辉)a), Huang Zhi-Xiang(黄志祥)a)†, Wu Xian-Liang(吴先良)a)b), and Ren Xin-Gang(任信钢)a)   

  1. a Key Laboratory of Intelligent Computing & Signal Processing of Ministry of Education, Anhui University, Hefei 230039, China; b Department of Physics and Electronic Engineering, Hefei Normal University, Hefei 230061, China
  • Received:2011-03-31 Revised:2011-05-09 Online:2011-11-15 Published:2011-11-15
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 60931002 and 61101064) and the Universities Natural Science Foundation of Anhui Province, China (Grant Nos. KJ2011A002 and 1108085J01).

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摘要： The method of splitting a plane-wave finite-difference time-domain (SP-FDTD) algorithm is presented for the initiation of plane-wave source in the total-field / scattered-field (TF/SF) formulation of high-order symplectic finite-difference time-domain (SFDTD) scheme for the first time. By splitting the fields on one-dimensional grid and using the nature of numerical plane-wave in finite-difference time-domain (FDTD), the identical dispersion relation can be obtained and proved between the one-dimensional and three-dimensional grids. An efficient plane-wave source is simulated on one-dimensional grid and a perfect match can be achieved for a plane-wave propagating at any angle forming an integer grid cell ratio. Numerical simulations show that the method is valid for SFDTD and the residual field in SF region is shrinked down to -300 dB.

关键词: splitting plane-wave finite-difference time-domain, high-order symplectic finite-difference time-domain scheme, plane-wave source

Abstract: The method of splitting a plane-wave finite-difference time-domain (SP-FDTD) algorithm is presented for the initiation of plane-wave source in the total-field / scattered-field (TF/SF) formulation of high-order symplectic finite-difference time-domain (SFDTD) scheme for the first time. By splitting the fields on one-dimensional grid and using the nature of numerical plane-wave in finite-difference time-domain (FDTD), the identical dispersion relation can be obtained and proved between the one-dimensional and three-dimensional grids. An efficient plane-wave source is simulated on one-dimensional grid and a perfect match can be achieved for a plane-wave propagating at any angle forming an integer grid cell ratio. Numerical simulations show that the method is valid for SFDTD and the residual field in SF region is shrinked down to -300 dB.

Key words: splitting plane-wave finite-difference time-domain, high-order symplectic finite-difference time-domain scheme, plane-wave source

中图分类号:  (Finite difference methods)

  • 47.11.Bc