An Explicit and Unconditionally Stable FDTD Method for Electromagnetic Analysis

In this paper, an explicit and unconditionally stable finite-difference time-domain (FDTD) method is developed for electromagnetic analysis. Its time step is not restricted by the space step, and its accuracy is ensured for the time step chosen based on accuracy. The strength of the conventional exp...

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Bibliographic Details
Published in:IEEE transactions on microwave theory and techniques 2014-11, Vol.62 (11), p.2538-2550
Main Authors: Gaffar, Md, Dan Jiao
Format: Article
Language:English
Subjects:
Accuracy
Eigenvalues and eigenfunctions
Equations
Explicit methods
Finite difference methods
finite-difference time-domain (FDTD) method
Stability analysis
Time-domain analysis
unconditionally stable methods
Vectors
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Summary:In this paper, an explicit and unconditionally stable finite-difference time-domain (FDTD) method is developed for electromagnetic analysis. Its time step is not restricted by the space step, and its accuracy is ensured for the time step chosen based on accuracy. The strength of the conventional explicit FDTD is thus preserved in avoiding a system matrix solution, while the shortcoming of the conventional FDTD is eliminated in the time step's dependence on space step. Numerical experiments in both 2-D and 3-D simulations have demonstrated the performance of the proposed method in stability and efficiency without sacrificing accuracy.
ISSN:0018-9480
1557-9670
DOI:10.1109/TMTT.2014.2358557