Filamentation instability of a relativistic hollow electron beam. Final report

Technical Report · Tue Sep 01 00:00:00 EDT 1981

OSTI ID:5036613

Uhm, H S; Siambis, J G

The filamentation instability properties of a relativistic hollow electron beam confined in axial flow by a uniform magnetic field in a pipe are investigated via the Vlasov-Maxwell equations. The instability is found to have two side-bands, 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 filamentation instability's two unstable sidebands. Only in the limit of zero axial beam flow, the diokotron instability becomes asymptotically part of the filamentation instability spectrum. In this limit the filamentation instability's two sidebands 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: Naval Surface Weapons Center, Silver Spring, MD (USA)
• OSTI ID: 5036613
• Report Number(s): AD-A-111198/8
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
ELECTRON BEAMS
STABILITY
BEAM DYNAMICS
CROSSED FIELDS
FILAMENTS
MAXWELL EQUATIONS
RELATIVITY THEORY
BEAMS
DIFFERENTIAL EQUATIONS
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FIELD THEORIES
GENERAL RELATIVITY THEORY
LEPTON BEAMS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE BEAMS
430200* - Particle Accelerators- Beam Dynamics
Field Calculations
& Ion Optics