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

doi:10.1088/1674-1056/20/11/114701

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.

Keywords: splitting plane-wave finite-difference time-domain high-order symplectic finite-difference time-domain scheme plane-wave source

Received: 31 March 2011
Revised: 09 May 2011
Accepted manuscript online:

PACS:

47.11.Bc

(Finite difference methods)

Fund: 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).

Cite this article:

Wang Hui(王辉), Huang Zhi-Xiang(黄志祥), Wu Xian-Liang(吴先良), and Ren Xin-Gang(任信钢) Perfect plane-wave source for a high-order symplectic finite-difference time-domain scheme 2011 Chin. Phys. B 20 114701

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

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