Electromagnetic conductor loss inclusion method in self-consistent 2D Green's function solver for inhomogeneous microstrip ferrite circulator

An extremely efficient 2D recursive Green's function procedure exists for determining s-parameters and electromagnetic fields in ferrite circulators. Here we present the electromagnetic theory necessary to obtain formulas which can effectively estimate conductor loss and be used in conjunction with the 2D computational engine. The formulas allow for different shield and ground plane characteristics, and provide an updated effective permeability mu(eq) and propagation constant k(eq) for the non-reciprocal, anisotropic ferrite material. mu(eq) and k(eq) are found for each inhomogeneous annulus in the device, computed based upon the new formulas and the radially varying demagnetization factor N-d, magnetization 4 pi M-s, and applied magnetic field H-app. Published in 1999 by John Wiley & Sons, Ltd. This article is a US Government work and is in the public domain in the U.S.