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Time-domain methods based on Exponential Evolution Operator approximation for the solution of Maxwell's equations

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4 Author(s)
Fei Xiao ; The EHF Key Laboratory of Fundamental Science, School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan, China, 610054 ; Xiaohong Tang ; Ling Wang ; Tao Wu

Some time-domain methods available for the solution of 3-D Maxwell's equations, including explicit methods such as the Yee-FDTD method, the Symplectic-FDTD method and the Turkel-FDTD method, and implicit methods such as the ADI-FDTD method, can be derived through different approximation schemes of the Exponential Evolution Operator (EEO) in Maxwell's equations. In addition, another new unconditionally stable LOD-FDTD method is recently proposed. In this paper, the analysis shows that this LOD-FDTD method can also be derived out from the approximation of the EEO. The stability and numerical dispersion analysis of this new LOD-FDTD method is done in this paper.

Published in:

2009 Asia Pacific Microwave Conference

Date of Conference:

7-10 Dec. 2009