A GHz-MIMO perspective of shielded multi-wire transmission lines using proximity effect analysis

Abstract

Transmission lines are basically described by their per-unit-length parameters. The computation of these parameters is a critical system design step. To get a precise model of transmission line behavior above 1 GHz, geometry and material constants must be taken into account. Also, coupling of electromagnetic waves (proximity effect) has to be considered. Proximity effect computation tends to be numerically unstable in the high frequency regions of interest. To solve this problem, a numerically stable solution will be presented using asymptotic behavior of modified Bessel functions. The calculation of an eight-conductor shielded transmission line parameter set is shown as an example.