Accurate power supply and ground plane pair models

This paper derives the theory and method for the two dimensional discrete transmission line (TL) and coupled transmission line (CTL) models, including the high frequency skin effect for an arbitrarily shaped plane pair in a multiple dielectric layer structure. The null or peak of the S parameter frequency response represents the test port interaction with the resonant standing wave of these planes at that frequency. The resultant S parameter data of these models can be condensed into a simpler N port equivalent circuit to represent a larger hierarchical power and ground plane network for fast simulation.