Title :
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
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;
Journal_Title :
Plasma Science, IEEE Transactions on
DOI :
10.1109/TPS.2003.815819
