Two approaches to the solution of resonance and guiding girotropic filling structures boundary value problems

The T&L methods of boundary value problems solving to concern electrodynamic girotropic filling structures have been developed in the cylindrical coordinate system. Approaches are based on two linearly independent solutions of the generalized Helmholtz equation of the gyrotropic medium. The complete resonant frequencies spectrum of a cylindrical homogeneous girotropic resonator has been obtained. The eigenwaves dispersion characteristics of a homogeneous gyrotropic radial waveguide have been calculated. The structure transforming effect of electromagnetic fields of a cylindrical homogeneous girotropic resonator eigenmodes with a non-reciprocity parameter sweeping is illustrated in the paper.