Theory of the L4 numbers: Existence theorem and physical interpretation

A new class of real positive numbers (the L₄ 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.