Passive guaranteed broadband equivalent circuit derivation of symmetrical multi-port systems: application to multi-conductors and RF-Inductors

In this paper a passive guaranteed wide-band equivalent circuit derivation methodology bridging physical topology considerations with SPICE model extractions is proposed. Electromagnetic modal states formalism is considered for bridging between physical topology and SPICE models. The attributes of the proposed derivation in comparison with conventional extraction techniques based on pole-residue expansion, classical Π/T models, and Broad-Band-SPICE (BBS) models are discussed. The validity of the broadband extracted scalable models is demonstrated through correlations with RF measurement carried out on CPW transmission lines and coupled self-inductors up to high frequencies.