Complex gyrator circuit of 4-port single junction circulator

The adjustment of the 4-port single junction circulator involves a degeneracy between a single impedance pole, a pair of split degenerate poles and one impedance zero. The purpose of this paper is to deduce the real part of the complex gyrator circuit of this device under the assumption that the degenerate relationships between the poles and zeros of the arrangement have been met. This determines the gyrotropy of the ideal device and the adjustment of any matching network.