Frequency domain modeling of multi-conductor planar integrated passive structures

This paper presents a distributed circuit model for multi-conductor integrated passive components. The differential equations for this model are found in the frequency domain and integrated directly to reduce the structure to a transmission network. A mathematical transformation is found to reduce this to a network of admittances for easy inclusion in a circuit simulator. To verify this approach, a three layer planar structure is constructed and tested with four different sets of interconnections. The predicted and measured results are closely correlated. Assuming a lossless structure, this theory may also be used to predict transients on integrated passive structures. This is experimentally verified for the step response of a two conductor series resonator.