Modeling of nonuniform interconnects by using differential quadrature method

This paper discusses an efficient numerical approximation technique, called the differential quadrature method (DQM), which has been adapted to model lossy nonuniform interconnects. DQM discretizes Telegrapher's equations into algebraic equations, which can be represented by compact equivalent circuit models, whose port voltages and currents are related by rational formulas in the frequency domain. Although the rationalization process in DQM is comparable with the Pade approximation of AWE, the derivation of DQM modeling avoids the process of moment-generation and moment-matching. The differential quadrature method guarantees stability. Numerical experiments show that DQM-based modeling leads to high accuracy as well as high efficiency.