Parametric Excitation of Plasma Instabilities with a Density Modulated Relativistic Electron Beam.
Abstract
Parametric electrostatic instabilities in a non-relativistic, stationary plasma excited by a monoenergetic, relativistic electron beam with density sinusoidally modulated along the direction of the beam flow have been theoretically investigated using multiple-time-scale perturbation expansion method. The instability occurs due to resonant energy transfer from the negative energy carrying beam-synchronous mode into the positive energy plasma oscillation mode of a uniform beam-plasma system. The resonant coupling occurs in the presence of the density modulation. The linear growth rate and the width of of the unstable spectrum have been determined. It has been found that, for a given beam to plasma density ratio, there exists an upper limit to the initial beam energy for which the instabilities can be excited.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1974
- Accession Number
- ADA005712
Entities
People
- Bamandas Basu
Organizations
- Columbia University