Computation of the capacitance matrix of manhattan geometry planar conductors embedded in multilayered substrates

Abstract

In this paper we propose an efficient technique for computation of the capacitance matrix of a set of infinitely thin conductor patches embedded in a multilayered medium. The patches present a manhattan-type shape, i.e., they can be subdivided into a finite number of rectangular regions. The generalized biconjugate gradient method (GBGM) in conjunction with FFT algorithms, is adapted to solve the convolution integral equation governing the free-charge density distribution on the conductors. Important computational improvements are achieved by including asymptotic extraction techniques in the determination of the space domain periodic Green's functions. The analysis is also applied to the quasistatic modelling of some microstrip discontinuities. © 1998 John Wiley & Sons, Inc. Int J RF and Microwave CAE 8: 386–397, 1998.