Domain Partitioning Based Parametric Models for Passive On-Chip Components

Abstract

This paper shows how to obtain models for passive integrated components that take into consideration the variability inherent to their design. To achieve this, the computational domain is split into sub-domains in which the electromagnetic circuit element (EMCE) formulation is used. The variability is described by using first order Taylor Series representation for the semi-state space matrices. The novelty of the paper is that it describes how the EMCE based parametric models can be obtained. The parametric sub-models can be interconnected afterwards to obtain a global parametric model that can be simulated or reduced. The advantage of this approach is that it bears an inherent parallelism. The sub-models can be treated independently both from the point of view of the variability, and from the point of view of electromagnetic field formulation. Both aspects are illustrated with a simple test case as well as a real benchmark designed and characterized at austriamicrosystems.