Theoretical calculation of the dielectric tensor and field equations in columns with elliptical cross-sections including inhomogeneous magnetized cold collisionless drift and rotating plasmas

Abstract

In this paper the effects of the inhomogeneity of the density of charged particles and the initial axial, rotating and radial motion on the dielectric permittivity tensor and the field equations in a long column of multi-layer magnetized plasmas with confocal elliptical cross-sections are investigated. The elements of the dielectric permittivity tensor and the generalized field equations of each region are obtained. The field equations for hybrid modes in each region of the inhomogeneous plasma with coaxial elliptical cylindrical boundaries are presented.