Reduced Order Electromagnetic Models for On-Chip Passives Based on Dual Finite Integrals Technique

Abstract

An efficient methodology to extract reduced order models for electromagnetic devices is presented. To solve field-circuits coupled problems, the electromagnetic field equations are discretized by the dual Finite Integration Technique (dFIT), a numerical method which allows the accuracy control of the extracted parameters. Several techniques are used to accelerate the extraction process, such as minimal virtual boundary, minimal mesh and minimal frequency samples set. The frequency characteristic of the device is then approximated by a rational function of appropriate degree in order to extract the reduced order model and its SPICE equivalent circuit. The behavior of the synthesized model extracted with proposed algorithm, in the case of passive on-chip devices placed on silicon substrate shows good agreement with respect to the measurements.