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

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....

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Bibliographic Details
Published in:Mathematical problems in engineering 2017-01, Vol.2017 (2017), p.1-7
Main Authors: Huang, Zheng-Yu, Shi, Li-Hua, Fu, Zhi-Kai, Pan, Zheng, Sun, Zheng
Format: Article
Language:English
Subjects:
Accuracy
Algorithms
Boundary conditions
Computational efficiency
Computer simulation
Efficiency
Error analysis
Fine structure
Finite difference time domain method
Mathematical analysis
Polynomials
Signal reconstruction
Simulation
Two dimensional analysis
Waveforms
Waveguides
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Summary: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.
ISSN:1024-123X
1563-5147
DOI:10.1155/2017/3595947