Principles of the electromagnetic modelling of some microwave components, based on the circular waveguides with azimuthally magnetized ferrite

The principles of electrodynamic analysis of the characteristics of the ferrite control components (nonreciprocal digital phase shifters, cut-off switches and isolators) which use circular waveguides, entirely filled with azimuthally magnetized ferrite or containing a coaxial disc- or ring-shaped area of the medium alluded to and a dielectric one, surrounding it or taking up its hollow, resp., and work in the normal TE01 mode, are enunciated: i) employment of complex confluent hypergeometric and eventually also of real cylindrical functions; ii) indispensability of inventing of numerical methods for evaluation of some special functions of the mathematical physics: the Euler gamma function, its logarithmic derivative and the confluent functions in the complex field, as well as of the cylindrical ones in the real domain; iii) elaboration of techniques for numerical solution of complicated transcendental equations, involving complex confluent and possibly real cylindrical functions, too; iv) introduction of a new class of real numbers, called L numbers, connected with the purely imaginary roots of the equations mentioned; v) development of numerical schemes for computation of the phase curves of geometries regarded and of iterative procedures for finding the differential phase shift provided by them; vi) laying down of criteria for the operation of configurations as phase shifters, magnetically controlled cut-off switches and isolators. Each of the maxims pointed out is elucidated in detail.