Shape and current of neutralized monoenergetic relativistic electron beams

Journal Article · Tue May 01 04:00:00 EDT 1979 · Sov. J. Plasma Phys. (Engl. Transl.); (United States)

OSTI ID:5791551

Romanovskii, V A

A self-consistent model is introduced for a cylindrical, neutralized, monoenergetic relativistic electron beam. Within symmetry transformations, the model has a single two-dimensional electron trajectory. Analysis of the model shows, in particular, that the electron trajectory is determined by the single parameter ..nu../..gamma.., within similarity transformations. It is shown that this new model, the neutralized model of Hammer and Rostoker, and the Lawson model : despite the wide variety of beams which they describe : have essentially the same variation of the current i with the parameter ..nu../..gamma..: i=etai/sub 0/..beta nu.., where i/sub 0/=mc/sup 3//eapprox. =17kA, ..beta.. is the electron velocity (in seconds), ..nu.. the number of beam electrons over a distance equal to the classical radius of the electron, (..gamma.. is the relativistic factor, and eta=(..nu../..gamma..+1)/sup -1/2/ is a current coefficient, which determines the effective decrease in the current due to trajectory curvature. This equation holds over the entire range 0sigma..nu../..gamma..

• Research Organization: Moscow Engineering Physics Institute
• OSTI ID: 5791551
• Journal Information: Sov. J. Plasma Phys. (Engl. Transl.); (United States), Journal Name: Sov. J. Plasma Phys. (Engl. Transl.); (United States) Vol. 5:3; ISSN SJPPD
• Country of Publication: United States
• Language: English

Related Subjects

640301* -- Atomic
Molecular & Chemical Physics-- Beams & their Reactions
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BEAM NEUTRALIZATION
BEAM OPTICS
BEAMS
ELECTRON BEAMS
ELECTRON DENSITY
EQUILIBRIUM
LEPTON BEAMS
MAGNETIC FIELD CONFIGURATIONS
PARTICLE BEAMS
SPACE CHARGE
TRAJECTORIES