Investigating the resonance of an elliptical solid and annular plasma column with the dielectric layer and the core

The resonance of a plasma column with an elliptical cross-section surrounded by a dielectric layer is investigated. It is assumed that the incident electromagnetic wave has a wavelength much larger than the dimensions of the assumed cross-section of the column. Using boundary conditions, the electric potentials and resonant frequencies of an elliptical plasma column covered by a dielectric for two polarisations of incident electric field are calculated. The incident electric field is considered in directions of the minor and major axes of the boundary ellipse. The limit cases are examined. The dependence of the resonant frequency on the dielectric constant and the plasma and dielectric dimensions are investigated. The obtained results are drawn and analysed. Then an elliptical plasma column with a coaxial dielectric core and a dielectric layer in scattering process by long wavelength waves is considered and the resonant frequencies of this object for two polarisations of incident electric field are calculated. The obtained results are plotted and analysed. This configuration can be presented as a plasma antenna.