The present work investigates the small amplitude oscillations in bounded beam-plasma systems with a sharp interface between two plasma media present. The dynamic character of the electromagnetic wave field is taken into account which makes it possible to go beyond the quasistatic approximation usually employed. The space charge and current of the beam travelling along the external magnetic field are assumed to be compensated. The thermal motion of plasma and beam particles is neglected. Oscillation frequency and growth rates have been found for whistlers and waves corresponding to the quasistatic approximation, in a cylindrical plasma waveguide with a low density beam moving near the axis.
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Shoucri et al. (1968) studied this question.
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