The Turnstile Junction Circulator

Abstract

The first circulation condition of a classic turnstile junction circulator has been the subject of a large number of numerical and experimental calculations. Its second circulation condition, however, has been usually experimentally tackled by replacing the dielectric resonator by a gyromagnetic one. This chapter deduces the second circulation condition in closed form. It includes closed-form descriptions of the quality factor, gyrator conductance, and susceptance slope parameter of the one-port complex gyrator circuit of the junction. The counterrotating eigen-networks are short-circuited unit elements (UEs) or stubs, where admittances are pure imaginary numbers. The chapter deduces a closed-form derivation of the quality factor of the turnstile circulator. The susceptance slope parameter of the junction is constructed by forming the split admittances at the split frequencies. The gyrator conductance is the product of the susceptance slope parameter and the split frequencies without ado.