Radiative Modes of a Magnetoplasma Slab

Abstract
There exist modes of oscillation of a cold magnetoplasma slab which generate outgoing electromagnetic radiation. The dispersion equation which relates the frequency and wavenumber of these modes is derived. An analysis of this equation is made with emphasis on waves having phase velocity greater than light in vacuum. These waves are found to have complex frequencies due to radiation damping. For long wavelengths the radiation frequencies are near ωp and (ωp2 + ¼ωc2)½ ± ½ωc, where ωp and ωc are the electron plasma and cyclotron frequencies, respectively. Dispersion curves are drawn for arbitrary values of applied magnetic field. The behavior of these curves is discussed in the transition to an unbounded plasma. Temperature, ion dynamics, and collisions are neglected in the analysis.

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