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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 T E 01 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.

The relationis exploited to advance the class of positive real numbers 1 A by means of the ones − 1 A and + 1 A . The latter are defined with the help of the positive purely imaginary zeros of a complex Kummer function of specially picked out parameters. A method is elaborated for counting the numerical equivalents of − 1 A and + 1 A (of 1 A ). Tables and graphs illustrate the outcomes of computations. The limits of the existence domains of each of the three kinds of numbers are found, too. A formula for calculation of the differential phase shift produced by the circular waveguide with azimuthally magnetized ferrite which sustains normal 01 TE mode is suggested, employing the quantities 1 A .

An iterative method is worked out and applied to calculate the A, B, C numberspositive real numbers, connected with the normalized differential phase shift, produced by the circular waveguide, containing azimuthally magnetized ferrite which sustains normal T E 01 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.