Robust and efficient RLGC extraction for transmission line structures with periodic three-dimensional geometries

A general method is proposed to extract frequency dependent RLGC model from simulated S-parameters for multi-conductor transmission line structures with periodic three-dimensional geometries. It is demonstrated to be robust for both short and long structures and various geometries, and highly efficient for structures with a large number of lines. The method has been tested for transmission line systems with up to 100 lines, which has not been seen in literature. A mode tracking technique is employed to obtain the unique solution for the propagation constant matrix. Equivalent lumped circuit networks are used to ensure extraction accuracy at low frequencies down to DC and provide seamless transition to the general formulation as frequency increases. The Kramers-Kronig relation is applied for causality enforcement and extraction of inductance and capacitance values at infinite frequency.