Abstract
In this study, the solution of lossy multiconductor transmission lines is obtained using the numerical Time Domain Method of Lines (TDMoL). The TDMoL algorithm comprises discretizing a differential equation in the spatial dimensions and using an analytical solution in the time domain. This leads to high numerical accuracy compared with full-discretizing finite difference techniques which require a significant computational time and extensive memory. In addition, investigation of the numerical dispersion characteristics of the single and multiconductor lossy and lossless transmission lines engenders a time independent relation which proves the unconditionally stability and nondispersive property of the method. To examine the accuracy of the TDMoL, three different structures including a three-coupled uniform transmission line, a nonuniform coupled transmission line and a lossy interconnect with dynamic and functional crosstalk are evaluated. The results of the proposed methodology are validated by those of leap-frog finite difference time domain (LF-FDTD) method and ADS commercial software, and reveals up to 90% reduction in CPU time while maintaining the same degree of accuracy.
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