A theory of two-stream instability in two hollow relativistic electron beams

Journal Article · Wed Sep 01 04:00:00 EDT 1993 · Physics of Fluids B; (United States)

DOI:https://doi.org/10.1063/1.860632· OSTI ID:6213280

Uhm, H S ^[1]

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1. Naval Surface Warfare Center, 10901 New Hampshire Ave., White Oak, Silver Spring, Maryland 20903-5640 (United States)

Stability properties of two-stream instability of two hollow electron beams are investigated. The equilibrium configuration consists of two intense relativistic hollow electron beams propagating through a grounded conducting cylinder. Analysis of the longitudinal two-stream instability is carried out within the framework of the linearized Vlasov--Maxwell equations for the equilibrium distribution function, in which beam electrons have a Lorentzian distribution in the axial momentum. Dispersion relation of the longitudinal two-stream instability is derived. Stability criteria from this dispersion relation indicate that the normalized velocity difference [Delta][beta] between the beams should be within a certain range of value to be unstable. Growth rate of the instability is a substantial fraction of the real frequency, thereby indicating that the longitudinal two-stream instability is an effective means of beam current modulation. Transverse instability of hollow electron beams is also investigated. Dispersion relation of the coupled transverse oscillation of the beams is derived and numerical investigation of this dispersion relation is carried out. Growth rate of the kink instability is a substantial fraction of the diocotron frequency, which may pose a serious threat to the two-stream klystron.

• OSTI ID: 6213280
• Journal Information: Physics of Fluids B; (United States), Journal Name: Physics of Fluids B; (United States) Vol. 5:9; ISSN 0899-8221; ISSN PFBPEI
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700340* -- Plasma Waves
Oscillations
& Instabilities-- (1992-)
BEAMS
DISPERSION RELATIONS
DISTRIBUTION FUNCTIONS
ELECTROMAGNETIC RADIATION
ELECTRON BEAMS
ELECTRON TUBES
ELECTRONIC EQUIPMENT
EQUIPMENT
FUNCTIONS
INSTABILITY
INSTABILITY GROWTH RATES
KINK INSTABILITY
KLYSTRONS
LEPTON BEAMS
MICROWAVE EQUIPMENT
MICROWAVE RADIATION
MICROWAVE TUBES
PARTICLE BEAMS
PLASMA
PLASMA INSTABILITY
PLASMA MACROINSTABILITIES
PLASMA MICROINSTABILITIES
RADIATIONS
RELATIVISTIC PLASMA
TWO-STREAM INSTABILITY