Parametric excitation of plasma instabilities with a density modulated relativistic electron beam. Doctoral thesis

Technical Report · Tue Jan 01 04:00:00 EST 1974

OSTI ID:7285221

Basu, B

Parametric electrostatic instabilities in a nonrelativistic, 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 methods. 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 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. (GRA)

• Research Organization: Columbia Univ., New York (USA). Plasma Lab.
• OSTI ID: 7285221
• Report Number(s): AD/A-005712
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700107* -- Fusion Energy-- Plasma Research-- Instabilities
BEAM-PLASMA SYSTEMS
BEAMS
DISTRIBUTION FUNCTIONS
ELECTRON BEAMS
ENERGY-LEVEL TRANSITIONS
EXCITATION
INSTABILITY
LEPTON BEAMS
PARAMETRIC INSTABILITIES
PARTICLE BEAMS
PLASMA
PLASMA INSTABILITY
PLASMA MACROINSTABILITIES