Numerical study of the differential phase shift in the azimuthally magnetized coaxial ferrite waveguide

An iterative method is elaborated for counting the differential phase shift produced by the coaxial waveguide, entirely filled with azimuthally magnetized ferrite, under normal TE₀₁ mode excitation. It consists in a repeated numerical solution of the characteristic equation of configuration, written by means of certain complex Kummer and Tricomi confluent hyper-geometric functions, for varying in accordance with a definite scheme imaginary part of their complex first parameters, followed by finding the normalized in an appropriate way guide radius and phase constant of the wave. In the computations the value of central switching conductor to guide radius ratio is assumed fixed and the one of the modulus of off-diagonal ferrite permeability tensor element is changed equidistantly. An end is put to the procedure when the reckoned numerical equivalent of the radius coincides with the preliminary singled out one of the same within the framework of the prescribed accuracy. The corresponding to it figured out value of the phase constant is accepted as that, sought. The calculations are accomplished for both signs of the imaginary part in question (of the ferrite magnetization) which results in the phase shift looked for in normalized form. The borders of the area of phase shifter operation of the geometry are specified, as well. The quantity of principle interest is worked out in the lower section of its existence region. The outcomes of investigation are presented in Tables. The analysis is restricted to the case of a thin central conductor.