Extraction of SPICE-type equivalent circuits of signal via transitions using the PEEC method

Digital devices and discontinuities are typically analyzed by inserting their equivalent circuits into SPICE-type simulators. The partial element equivalent circuit (PEEC) method has been proven to be very useful for electromagnetic modeling. It can be used in both the time and the frequency domain. We employ the PEEC technique as an efficient full-wave modeling tool to derive SPICE-type equivalent circuits of signal via transition structures. A nodal analysis technique is utilized in conjunction with an optimization algorithm to extract the equivalent circuits, whose component values are the parameters optimized. The good agreement between different approaches demonstrates that the proposed approach can be a powerful tool for deriving the equivalent circuits of signal via transitions.