TITLE:
Separation Method in the Problem of a Beam-Plasma Interaction in a Cylindrical Warm Plasma Waveguide
AUTHORS:
Khaled H. El-Shorbagy, Abdelrahman S. Al-Fhaid, Mohamed A. Al-Ghamdi
KEYWORDS:
Separation Method, Beam-Plasma Interaction, Warm Plasma Waveguide
JOURNAL NAME:
Journal of Modern Physics,
Vol.2 No.10,
October
19,
2011
ABSTRACT: The stabilization effect of a strong HF electric field on beam-plasma instability in a cylindrical warm plasma waveguide is discussed. A mathematical technique “separation method” applied to the two-fluid plasma model to separate the equations, which describe the system, into two parts, temporal and space parts. Plasma electrons are considered to have a thermal velocity. It is shown that a HF electric field has no essential influence on dispersion characteristics of unstable surface waves excited in a warm plasma waveguide by a low-density electron beam. The region of instability only slightly narrowing and the growth rate decreases by a small parameter and this result has been reduced compared to cold plasma. Also, it is found that the plasma electrons have not affected the solution of the space part of the problem.