Degeneracy of low-frequency resonances in a chiral anisotropically conducting cylinder filled with a metamaterial

The paper considers the 2D problem of a cylinder, filled with a metamaterial with anisotropic surface conductivity along helical lines, excited by electric and magnetic field filaments. High- Q resonances occurring in small (as compared to the wavelength) cylinders with a permeability close to −1 are investigated. The effect of degeneracy of oscillations with various values of index m in the cos( m φ) law describing the azimuthal dependence of resonant fields is discovered. The range of parameters in which degenerate oscillations exist is determined. The spatial and polarization structures of magnetic fields are analyzed. An analytic description is proposed for resonant fields in the quasi-static approximation.