Contributions of corner singularities of the capacitances of interconnections wires

Abstract

A significant problem in the computation of capacitance coefficients for microwave transmission and VLSI interconnection transmission systems is caused by the singularities in the electric field at the corners and edges of conductors. For two-dimensional models, a solution is given by the so called Duncan Correction, which is based on polar expansion of the field. No such exact expansion exists in the three-dimensional case. Recent research has led to some appropriate asymptotic expressions for those singularities, and these are used to derive algorithms for correcting conventional capacitance computation. This correction accounts for the singularities at the corners of the conductors. Finally we present a few examples to illustrate the three-dimensional capacitance correction procedure and computational accuracy.