Low-frequency flute instabilities in intense nonneutral electron and ion beams
The stability properties for low-frequency flute perturbations in a relativistic nonneutral electron beam are investigated within the framework of the Vlasov--Maxwell equations. It is assumed that ..nu../..gamma../sub b/<<1, where ..nu.. is Budker's parameter and ..gamma../sub b/mc/sup 2/ is the characteristic electron energy. The analysis is carried out for the rigid-rotor equilibrium distribution function in which all electrons have the same value of energy in a frame rotating with angular velocity ..omega../sub b/ and the same value of axial canonical momentum. Strong instability is found for aximuthally symmetric perturbations (partial/partialtheta=0) with radial mode numer n=2 and rotational frequency ..omega../sub b/=0.5 ..omega../sub c/b, where ..omega../sub c/b is the electron cyclotron frequency. However, the instability can easily be stabilized by slightly detuning the rotational frequency from the value ..omega../sub b/=0.5 ..omega../sub c/b. The transverse stability properties of an intense ion beam in a quadrupole magnetic field are also investigated by analogy with the electron beam stability analysis, including the important influence of rotational effects on stability behavior. It is found that the rotational motion also plays an important role in determining the stability properties of intense ion beams.
- Research Organization:
- Naval Surface Weapons Center, White Oak, Silver Spring, Maryland 20910
- OSTI ID:
- 5160489
- Journal Information:
- Phys. Fluids; (United States), Journal Name: Phys. Fluids; (United States) Vol. 23:8; ISSN PFLDA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
Molecular & Chemical Physics-- Beams & their Reactions
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BEAM OPTICS
BEAMS
BOLTZMANN-VLASOV EQUATION
CONFIGURATION
CYLINDRICAL CONFIGURATION
DIFFERENTIAL EQUATIONS
DISTRIBUTION FUNCTIONS
ELECTRON BEAMS
ENERGY RANGE
EQUATIONS
FLUTE INSTABILITY
INSTABILITY
ION BEAMS
LEPTON BEAMS
MAGNETIC FIELDS
MAXWELL EQUATIONS
MOTION
PARTICLE BEAMS
PLASMA INSTABILITY
PLASMA MACROINSTABILITIES
RELATIVISTIC RANGE
ROTATION
STABILITY
WAVEGUIDES