New elements in the theory of the coaxial waveguide with azimuthally magnetized ferrite

The finite real positive numbers L(c, rho, n) are defined as common limits of the infinite sequences of real numbers and {|k|X^e _k,n(rho)} for {|alpha|X^e _k,n(rho)}, for k rarr -infin where X^e _k,n(rho) is the n-th positive purely imaginary root in x (n = 1,2,3,...) of the characteristic equation of the azimuthally magnetized coaxial ferrite waveguide that, sustains normal TE_0n modes, derived in terms of the difference of arguments of the complex Tricomi confluent hypergeometric functions psi(a,c;x) and psi(a,c;rhox) with complex a = c/2 - jk (k is real), c = 3, positive purely imaginary x = jz (z is real positive) and rho being central switching conductor to waveguide radius ratio (0 < rho < 1) using results of numerical analysis. These numbers are employed to deduce the equation of envelope curve, which is a new element in the phase diagram, restricting the area of propagation for negative magnetization from the side of higher frequencies, and the criterion for phaser operation of the structure for the normal TE₀₁ mode. ABCformulae for computation of the produced differential phase shift are proposed, too