On the development of a triple‐preserving Maxwell's equations solver in non‐staggered grids |
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| Authors: | Tony W. H. Sheu Y. W. Hung M. H. Tsai P. H. Chiu J. H. Li |
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| Affiliation: | 1. Department of Engineering Science and Ocean Engineering, National Taiwan University, No. 1, Sec. 4, Roosevelt Road, Taipei, Taiwan;2. Taida Institute of Mathematical Science (TIMS), National Taiwan University, Taiwan;3. Center for Quantum Science and Engineering (CQSE), National Taiwan University, Taiwan |
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| Abstract: | We present in this paper a finite difference solver for Maxwell's equations in non‐staggered grids. The scheme formulated in time domain theoretically preserves the properties of zero‐divergence, symplecticity, and dispersion relation. The mathematically inherent Hamiltonian can be also retained all the time. Moreover, both spatial and temporal terms are approximated to yield the equal fourth‐order spatial and temporal accuracies. Through the computational exercises, modified equation analysis and Fourier analysis, it can be clearly demonstrated that the proposed triple‐preserving solver is computationally accurate and efficient for use to predict the Maxwell's solutions. Copyright © 2009 John Wiley & Sons, Ltd. |
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| Keywords: | Maxwell's equations non‐staggered grids zero‐divergence symplecticity dispersion relation fourth order triple‐preserving solver |
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