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International Journal of Antennas and Propagation
Volume 2013 (2013), Article ID 689327, 7 pages
Research Article

A Compact Unconditionally Stable Method for Time-Domain Maxwell's Equations

Department of Electronics and Communication Engineering, Sun Yat-sen University, No. 132, Waihuan East Road, Guangzhou Higher Education Mega Center, Guangzhou 510006, China

Received 17 January 2013; Accepted 5 March 2013

Academic Editor: Mandeep Singh Jit Singh

Copyright © 2013 Zhuo Su 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.


Higher order unconditionally stable methods are effective ways for simulating field behaviors of electromagnetic problems since they are free of Courant-Friedrich-Levy conditions. The development of accurate schemes with less computational expenditure is desirable. A compact fourth-order split-step unconditionally-stable finite-difference time-domain method (C4OSS-FDTD) is proposed in this paper. This method is based on a four-step splitting form in time which is constructed by symmetric operator and uniform splitting. The introduction of spatial compact operator can further improve its performance. Analyses of stability and numerical dispersion are carried out. Compared with noncompact counterpart, the proposed method has reduced computational expenditure while keeping the same level of accuracy. Comparisons with other compact unconditionally-stable methods are provided. Numerical dispersion and anisotropy errors are shown to be lower than those of previous compact unconditionally-stable methods.