Dispersion characteristics of circular layered zero-index anisotropic metamaterial - semiconductor waveguides

Abstract

Here we present the dispersion characteristic dependencies of main and higher eigenmodes of open (widhout the screen) cylindrical anisotropic metamaterial - semiconductor waveguides. The tensor components of metamaterial permittivity and permeability may accept values close or equal to zero. The values of tensor compenents become equal to zero at the operating frequency equal to the metamaterial electric fep=2.5 GHz or (and) magnetic fmp=2 GHz plasma frequencies. Zero-index metamaterials as well as the semiconductor material with the low electrical resistivity are dispersive media. We present here the phase and attenuation constants of the waveguide dependant on the radius of metamaterial core in the frequency range from 0.05 GHz till 2 GHz.We present also dispersion characteristics of the waveguide with the radius of metamaterial core equal to 1 mm in the frequency range 0.05-20 GHz. There are differences between dispersion characteristics of modes which propagate in the resonance for metamaterial area till 2 GHz and of usual waveguide modes which propagate in the frequency range 2-20 GHz.