A new broadband transmission line model for accurate simulation of dispersive interconnects

Abstract

This paper presents a new method for the extraction of the frequency-dependent, per-unit-length resistance and inductance parameters of multi-conductor interconnects. The proposed extraction methodology is based on a new formulation of the magneto-quasi-static problem that allows lossy ground planes of finite thickness to be modeled rigorously. The formulation is such that the per-unit-length impedance matrix for the multi-conductor interconnect is extracted directly at a prescribed frequency. Once the matrix has been calculated over the bandwidth of interest, rational function representations of its elements are generated through a robust matrix curve-fitting process. Such a formulation enables subsequent transient analysis of interconnects through a variety of approaches, all of them compatible with general-purpose circuit simulators.