A new algorithm for the wide-band analysis of arbitrarily shaped planar circuits

摘要

An algorithm for the wideband analysis of the two-dimensional model of a planar circuit is described. The planar circuit is considered to be enclosed in a regularly shaped (rectangular or circular) resonator, and the electric and magnetic fields are derived from the Green's functions of this resonator by integrating over the periphery of the circuit not coinciding with the regular shape. The special form used for the Green's functions makes it possible to derive the Z-parameters in a special form, similar to Foster's series, but converging much more rapidly. The calculation requires the determination of a reduced number of resonances of the planar circuit, which are obtained by an integral equation approach leading to a linear eigenvalue problem. The algorithm was implemented in an efficient computer-aided design (CAD) routine, named ANAPLAN, which is briefly described.