A Lossy Interconnect Modeling by S Parameters Measurements using a Synthesis Method of Lossy Nonuniform Transmission Line

A modeling method of lossy interconnect by S parameters measurements is presented. In this method, interconnects are represented by the equivalent uniform or nonuniform transmission lines using the Inverse-FDTD method. This is a synthsis method to obtain lossy nonuniform transmission line per unit length parameters and has been obtained by reconstructing update equations of the one-dimensional FDTD method. Parameters distributions of the equivalent lossy nonuniform transmission line are decided by two kinds of criterias. One criteria is that the S parameters of equivalent transmission line become the same as the measured ones. Another criteria is that the refrected and transmitted waveforms of equivalent transmission line become the same as the waveforms obtained from measured ones. We show how the differences between them influence those model parameters. Moreover, how the measurement frequency range of the S parameter influences those model parameters of the equivalent circuit is shown.