In this study, two finite-difference time-domain algorithms are proposed for time domain analysis of the lossy nonuniform composite right/left-handed transmission line (CRLH TL). The results of the proposed algorithm are confirmed with those of the ADS commercial software. The numerical stability of the proposed algorithms is studied and a closed form formula for maximum temporal step size that guarantees algorithm stability is extracted. Finally, a new algorithm for timedomain analysis of the non-linear CRLH TLs using finite-difference time-domain is proposed. This algorithm does not impose any limitation on type of non-linearity. The results of the proposed algorithm have a good agreement with the results of the ADS commercial software.
Abstract-We present two new numerical approaches for physical modeling of high-frequency semiconductor devices using filterbank transforms and the alternating-direction implicit finite-difference time-domain method. In the first proposed approach, a preconditioner based on the filter-bank and wavelet transforms is used to facilitate the iterative solution of Poisson's equation and the other semiconductor equations discretized using implicit schemes. The second approach solves Maxwell's equations which, in conjunction with the semiconductor equations, describe the complete behavior of high-frequency active devices, with larger time-step size. These approaches lead to the significant reduction of the fullwave simulation time. For the first time, we can reach over 95% reduction in the simulation time by using these two techniques while maintaining the same degree of accuracy achieved using the conventional approach.Index Terms-Alternating-direction implicit finite-difference time-domain (ADI-FDTD) method, filter-bank transforms, full-wave analysis, global modeling, high-frequency devices, preconditioning.
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