Partial Inductance Extraction with an Exponentially Damped Potential Compared to Virtual Screening

Abstract

In order to improve the e‐ciency of the PEEC method for large scale interconnect inductance extraction, enhancing robustness under matrix truncation is of vital importance. We establish the relationship between the virtual screening approach of Dammers and van der Meijs (ICCAD’99) and the damped potential method of Beattie and Pileggi (DAC’01). Each of these methods is characterized by a single parameter, a virtual screening radius r0 and a damping constant fi respectively. We show theoretically and experimentally that asymptotically, for small and large d, where d is the distance between a conductor and a return conductor, the results of both methods are identical when the damping constant is identifled as fi … 1:123 =r0. Moreover, we show that virtual screening behaves better in the intermediate regime d » r0 and that computation of matrix elements is more e‐cient.