Transmission properties of the circular waveguide, containing an azimuthally magnetized ferrite toroid and a dielectric cylinder

The phase characteristics of the circular waveguide, taking in an azimuthally magnetized ferrite toroid and a dielectric cylinder of relative permittivity, smaller than that of the ferrite, are counted for the normal TE 01 mode. The choice of such a relation between the relative permittivities of the media necessitates the usage of three forms of the structure's characteristic equation, written through complex confluent hypergeometric and real ordinary or modified Bessel functions. Each of them provides computation of a definite part of the phase portrait of configuration. The analysis reveals that the phase curves are finite for both directions of magnetization, bounded by the cut-off frequencies and by specific envelope lines, determined by certain positive real numbers (L numbers), kindred to the roots of characteristic equation.