Abstract
In this study, the extended composite right/left handed (ECRLH) transmission line equations are solved by an unconditionally stable finite-difference time-domain algorithm. The results of the proposed algorithm are verified by the conventional one. Amplification matrix of the unconditionally stable algorithm is extracted. The results show that the spectral radius of the amplification matrix of the proposed algorithm is less than one and the proposed algorithm is unconditionally stable. To overcome the numerical dispersion, the complex phasor method is applied to the ECRLH equations. The new equations are solved by the proposed algorithm and results confirm the accuracy of the new equations. By using the complex phasor method and proposed algorithm, the CPU time is reduced about 98%, which shows the efficiency of the proposed method.
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