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A new method for finite-difference analysis of high-speed interconnects with frequency-dependent parameters is presented. A set of differential equations are derived based on the equivalent circuit models of dispersive transmission lines. The finite-difference time-domain (FDTD) method is then employed to solve them involving no convolution computations. The proposed method has the identical memory requirement and computational expense as the recursive-convolution-based algorithm, while more accurate results are obtained. The generalized two-port equivalent model of transmission lines contributes to the convenience of dealing with arbitrary termination networks. In addition, a higher order (2,4) FDTD scheme is employed to improve the accuracy and efficiency of this algorithm. The validity and accuracy of the proposed method are illustrated by several numerical examples.
Date of Publication: May 2010