Iterative Method for Differential Phase Shift Computation in the Azimuthally Magnetized Circular Ferrite Waveguide

A reiterative technique is developed for finding in normalized form the differential phase shift provided by the circular waveguide, completely filled with azimuthally magnetized ferrite which propagates normal TE01 mode. It consists in a repeated numerical solution of the structure’s characteristic equation, derived in terms of a definite complex Kummer confluent hypergeometric function, followed by a computation of the normalized guide radius and phase constant at a fixed value of the off-diagonal ferrite permeability tensor element. The idea of the method is to vary arbitrarily or according to a certain scheme the imaginary part of the first complex parameter of wave function until the counted numerical equivalent of the guide radius coincides with a chosen one of the same with a prescribed accuracy. The relevant value of the phase constant is accepted as the one, looked for. Calculations are performed for both signs of the imaginary part (of the ferrite magnetization), yielding the phase shift sought. The numerically presented results are discussed.