Abstract
In this paper, effects of the thermal, collisional, and the inhomogeneity for density of charged particles on the dielectric permittivity tensor in the long column of multilayer magnetized plasmas with confocal elliptical cross sections are investigated. The dielectric permittivity tensor elements and the generalized field equations of each region will be obtained. It will be shown that the permitivity tensor of each region can be written as sum of three parts: cold, collisional, and thermal. The field equations for hybrid modes in each region of the inhomogeneous warm plasma with coaxial elliptical cylinder boundaries are presented.
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