The Effects of Relativistic Warm Plasma Waveguide and High Frequency Electrical Field on Beam-Plasma Interaction

Abstract

The paper is concerned with investigation of the influence of an intense high frequency electric field and relativistic warm plasma waveguide on electrostatic oscillations of nonuniform bounded plasma. The stabilizing effect of a strong high frequency (pump) electrical field on beam-plasma interaction in a cylindrical relativistic warm plasma waveguide is discussed. A new mathematical technique "separation method" was applied to the two-fluid plasma model to separate the equations, which describe the system, into two parts, time and space parts. Plasma electrons are considered to have a relativistic, thermal velocity. It is shown that a high frequency electric field has no essential influence on dispersion characteristics of unstable surface waves excited in a relativistic warm plasma waveguide by a low-density electron beam. The region of instability is only slightly narrowing and the growth rate decreases by a small parameter and this result was reduced comparing to cold, nonrelativistic plasma. Also, it is found that the plasma electrons did not affect the solution of the space part of the problem.

Low-Frequency Instabilities in the Interaction of Ion Beam With Magnetized Plasma

“…This interaction is used in many applications, including particle acceleration, microwave generation, and plasma heating [1]- [6]. On the other hand, the propagation of a charged particle beam through the plasma can drive great variety of instabilities [7]- [9]. The beam-plasma instabilities taking into account the thermal and dissipative effects have attracted much attention in the recent years.…”