Modeling of embedded inductor on low cost multilayer laminate MCM technology and its application

Distributed embedded inductor models are developed on low cost multilayer laminate MCM technology for two different stack-ups - 50/200/50 and 35/150/35. The characterization and modeling process are summarized, and developed model equations for double-π model circuit elements are presented. The developed model is useful beyond the self-resonant frequency (SRF) and is able to be incorporated with time-domain circuit simulations as well as frequency-domain circuit simulations. Compared with the generic electromagnetic field solver, the developed double-π equivalent-circuit model dramatically reduces computation time and supports rapid performance optimization. The developed inductor model is applied to diplexer and filter designs. It enables these designs to include all parasitic effects associated with embedded inductor components.