Novel closed-form expressions for MoM impedance matrix elements for numerical modeling of shielded passive components

Abstract

Recent advances in multi-layer insulating substrates have necessitated the development of efficient numerical modeling tools capable of handling complex three dimensional structures. In this paper, a closed-form solution is presented for the method of moments (MoM) impedance matrix elements obtained in the integral equation modeling of shielded passive circuits. This closed-form solution is written in terms of rapidly-computable special functions and has proven to be two orders of magnitude faster than direct numerical integration.