Filamentation instability of a relativistic hollow electron beam

Journal Article · Mon Mar 01 04:00:00 EST 1982 · Phys. Fluids; (United States)

DOI:https://doi.org/10.1063/1.863771· OSTI ID:5586691

Siambis, J G; Uhm, H S

The filamentation instability properties of a relativistic hollow electron beam confined in axial flow by a uniform magnetic field, in the absence of background plasma, in a pipe are investigated via the Vlasov--Maxwell equations. The instability is found to be have two sidebands, one with a spectrum of positive wavenumbers k and the other with a spectrum of negative wavenumbers. The spectral point k = 0, associated with the diokotron instability, is excluded from the two unstable sidebands of the filamentation instability. Only in the limit of zero axial beam flow (..gamma -->..1), does the diokotron instability become asymptotically part of the filamentation instability spectrum. In this limit, the two sidebands of the filamentation instability merge asymptotically and symmetrically toward the diokotron instability spectral point, k = 0, in agreement with the basic driving physical mechanisms and geometry configurations for these two distinct and different instabilities.

• Research Organization: Science Applications, Inc., Palo Alto, California 94304
• OSTI ID: 5586691
• Journal Information: Phys. Fluids; (United States), Journal Name: Phys. Fluids; (United States) Vol. 25:3; ISSN PFLDA
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
430200* -- Particle Accelerators-- Beam Dynamics
Field Calculations
& Ion Optics
BEAMS
BOLTZMANN-VLASOV EQUATION
DIFFERENTIAL EQUATIONS
ELECTRON BEAMS
ENERGY RANGE
EQUATIONS
FOCUSING
INSTABILITY
LEPTON BEAMS
MAGNETIC FIELDS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE BEAMS
PIPES
RELATIVISTIC RANGE