Developing a "physical" model for vias - Part II: Coupled and ground return vias

Abstract

In a previous paper [1] the authors introduced the concept of "physical" or "physics-based" models for single-ended vias in printed circuit boards. Several comparisons to measurements showed that relatively simple equivalent circuit models can reproduce complex via behaviors up to high frequencies. The models are very concise and feature a one-to-one relationship between circuit elements and real-world features. In this paper, the physical models are extended from single-ended vias to more complex configurations including coupled vias and single-ended vias adjacent to ground return vias. Good correlation to measurements validates the proposed approach.