On the A, B, C Numbers and Their Application in the Theory of Circular Waveguide with Azimuthally Magnetized Ferrite

An iterative method is worked out and applied to calculate the A, B, C numbers positive real numbers, connected with the normalized differential phase shift, produced by the circular waveguide, containing azimuthally magnetized ferrite which sustains normal TE01 mode. It is based on the recently formulated definition of the quantities in question and uses the positive purely imaginary zeros of a certain complex Kummer confluent hypergeometric function, determined for a varying imaginary part of its first complex parameter. The results of investigation are presented graphically. The influence of the normalized guide radius and of the magnitude of off-diagonal ferrite permeability tensor element on the numbers is analyzed. A numerical example is presented, demonstrating the way of figuring out the phase shift with their help.