Analysis of multilayer circuits by an efficient iterative technique

Abstract

An efficient iterative technique based on the wave concept (WCIP) for designing multilayer planar circuits is presented. The algorithm is based on the use of a recursive relationship between incident waves and reflected waves from several planes of discontinuity, instead of an integral equation. The convergence is insured independently of the kind or number of interfaces of the structure. The method herein presented solves for the current density and the tangential electrical field on the interface. The formulation permits to solve several problems by applying dual quantities. A two-dimensional fast modal transformation (FMT) algorithm using periodic walls is used with a 2D-FFT algorithm, in order to simplify calculations and accelerate the convergence. In this sense, a program in MATLAB has been elaborated to validate this approach. The numerical results are compared with those in the available literature.