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2013-01-16

Two Efficient Unconditionally-Stable Four-Stages Split-Step FDTD Methods with Low Numerical Dispersion

By Yong-Dan Kong, Qing-Xin Chu, and Rong-Lin Li
Progress In Electromagnetics Research B, Vol. 48, 1-22, 2013
doi:10.2528/PIERB12103011

Abstract

Two efficient unconditionally-stable four-stages split-step (SS) finite-difference time-domain (FDTD) methods based on controlling parameters are presented, which provide low numerical dispersion. Firstly, in the first proposed method, the Maxwell's matrix is split into four sub-matrices. Simultaneously, two controlling parameters are introduced to decrease the numerical dispersion error. Accordingly, the time step is divided into four sub-steps. The second proposed method is obtained by adjusting the sequence of the sub-matrices deduced in the first method. Secondly, the theoretical proofs of the unconditional stability and dispersion relations of the proposed methods are given. Furthermore, the processes of obtaining the controlling parameters for the proposed methods are shown. Thirdly, the dispersion characteristics of the proposed methods are also investigated, and numerical dispersion errors of the proposed methods can be decreased significantly. Finally, to substantiate the efficiency of the proposed methods, numerical experiments are presented.

Citation


Yong-Dan Kong, Qing-Xin Chu, and Rong-Lin Li, "Two Efficient Unconditionally-Stable Four-Stages Split-Step FDTD Methods with Low Numerical Dispersion," Progress In Electromagnetics Research B, Vol. 48, 1-22, 2013.
doi:10.2528/PIERB12103011
http://www.jpier.org/PIERB/pier.php?paper=12103011

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