Some microwave applications of the Kummer confluent hypergeometric function

Examples of the application of confluent hypergeometric functions in miscellaneous areas of theoretical physics are presented. Emphasis is placed on the use of Kummer function in the field of microwaves: the cases of normal and slow rotationally symmetric TE modes propagation in the azimuthally magnetized circular ferrite waveguide are considered. Some of the properties of function mentioned in the complex (real) domain, of importance in the solution of boundary-value problem stated for normal (slow) waves, are established. A theorem for the identity of purely imaginary and real zeros of the complex resp. real Kummer function for certain parameters, is proved numerically. The terms for wave transmission are obtained as four bilaterally open intervals of variation of quantities, specifying the fields. It turns out that the normal (slow) modes may exist in one (two) region(s). The theoretically predicted phase curves for the first waves of the two TE sets examined show that the structure explored is suitable for ferrite control components design.