Stability of the envelope evolution of a cold-fluid corkscrewing elliptic beam in a uniform-focusing magnetic field

Author

Roytershteyn, V. ; Chen, C. ; Pakter, R.

Author_Institution

Plasma Sci. & Fusion Center, Massachusetts Inst. of Technol., Cambridge, MA, USA

Volume

31

Issue

4

fYear

2003

Firstpage

765

Lastpage

770

Abstract

The envelope oscillations of a cold-fluid corkscrewing elliptic beam in a uniform-focusing magnetic field are studied. In particular, by linearizing the generalized beam envelope equations, the eigenmodes of small-amplitude envelope oscillations are calculated for a cold-fluid corkscrewing elliptic beam oscillating about its equilibrium. All of the eigenmodes are shown to be stable.

Keywords

eigenvalues and eigenfunctions; oscillations; particle beam stability; particle optics; plasma-beam interactions; space charge; cold-fluid corkscrewing elliptic beam; eigenmodes; envelope evolution stability; envelope oscillations; equilibrium; generalized beam envelope equations; particle beam stability; small-amplitude envelope oscillations; space-charge; uniform-focusing magnetic field; Colliding beam devices; Equations; Magnetic analysis; Magnetic fields; Nuclear and plasma sciences; Nuclear physics; Particle beams; Plasma stability; Research and development; Subcontracting;

fLanguage

English

Journal_Title

Plasma Science, IEEE Transactions on

Publisher

ieee

ISSN

0093-3813

Type

jour

DOI

10.1109/TPS.2003.815819

Filename

1221865