The report suggests possible ways for further theoretical study of the interaction of an electron beam and the ions in a hot-electron plasma. Equations are obtained for beamplasma interaction in a filled cylindrical waveguide in which the thermal velocity distribution is longitudinal but otherwise arbitrary. An approximation is described based on these equations by using only one transverse wave number. A close resemblance is found between the approximate solutions and the theory of plane waves in an infinite beamplasma system, traveling at an angle with the direction of the beam and the magnetic field and having a certain fixed real transverse wave number. Advantage is taken of this resemblance to calculate beam- (hot-electron) plasma interaction including a transverse random velocity distribution. The theory of a filamentary beam is combined with that of a plasma-filled waveguide, using the coupling-of-modes theory, for the description of some of the weak interactions between a thin beam and a finite plasma. (Author).

Handbook on Plasma Instabilities, Volume 2 consists of four chapters on plasma instabilities. Chapter 14 discusses the various aspects of microinstabilities. Beam-plasma systems are covered in Chapter 15, while the various stabilization methods are presented in Chapter 16. This book concludes with deliberations on parametric effects in Chapter 17. Other topics discussed include the microinstabilities of a homogeneous unmagnetized plasma; kinetic theory of macroscopic instabilities; basic beam physics; and beam-plasma instabilities. The magnetic field configuration stabilization; macroscopic nonmagnetic stabilization methods; parametric instabilities in homogeneous unmagnetized plasmas; and parametric effects in bounded and inhomogeneous plasmas are also elaborated in this text. This publication is beneficial to students and researchers conducting work on unstable plasma.

The work investigates the excitation of longitudinal oscillations in a plasma consisting of two types of ions through which a stream of particles is moving under an arbitrary angle to the direction of the internal magnetic field. The dispersion relation for the plasma is analyzed and the relationship between its four roots is studied. In the presence of the stream, a new dispersion relation is written consisting of that for the plasma and the added term for the beam and for the interaction effects. This relationship is studied for the case of a cold stream under the conditions of Cerenkov resonance and for the case of a cold stream under conditions of anomalous Doppler effect. In addition, 'hot' beam interaction with the plasma is briefly discussed. The instability criteria and growth rates for the various waves are given under specified relationships between the frequencies characterizing the plasma and beam systems. (Author).