Theory of the L4 numbers: Existence theorem and physical interpretation

A new class of real positive numbers (the L 4 numbers), consisting of three subclasses - the L 4± , L 4± and L 4lim± numbers, is defined, using the purely imaginary zeros of special functions, constructed through combinations of given complex Kummer and Tricomi confluent hypergeometric and real ordinary or modified Bessel ones. A direct physical corollary of this fact is the appearance of envelope curves in the phase diagrams for normal TE 0n modes of the circular waveguide, containing an azimuthally magnetized ferrite toroid and a dielectric cylinder with relative permittivity, smaller than that of the ferrite, restricting the characteristics for both signs of magnetization from the side of higher frequencies.