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Mathematical Problems in Engineering
Volume 2017 (2017), Article ID 3595947, 7 pages
Research Article

A Modified AH-FDTD Unconditionally Stable Method Based on High-Order Algorithm

1National Key Laboratory on Electromagnetic Environmental Effects and Electro-Optical Engineering, PLA University of Science and Technology, Nanjing 210007, China
2Luoyang Hydraulic Engineering Technical Institute, Luoyang 471023, China

Correspondence should be addressed to Zhikai Fu; moc.621@6002iakihzuf

Received 8 October 2016; Revised 20 December 2016; Accepted 16 January 2017; Published 13 February 2017

Academic Editor: Elisa Francomano

Copyright © 2017 Zheng Pan et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The unconditionally stable method, Associated-Hermite FDTD, has attracted more and more attentions in computational electromagnetic for its time-frequency compact property. Because of the fewer orders of AH basis needed in signal reconstruction, the computational efficiency can be improved further. In order to further improve the accuracy of the traditional AH-FDTD, a high-order algorithm is introduced. Using this method, the dispersion error induced by the space grid can be reduced, which makes it possible to set coarser grid. The simulation results show that, on the condition of coarse grid, the waveforms obtained from the proposed method are matched well with the analytic result, and the accuracy of the proposed method is higher than the traditional AH-FDTD. And the efficiency of the proposed method is higher than the traditional FDTD method in analysing 2D waveguide problems with fine-structure.