Kinetic equilibrium and stability properties of high-current betatrons

Journal Article · Sat Aug 01 00:00:00 EDT 1987 · Phys. Fluids; (United States)

DOI:https://doi.org/10.1063/1.866087· OSTI ID:6355339

Petillo, J J; Davidson, R C

Kinetic stability properties of an intense relativistic electron ring in modified and conventional betatron configurations are investigated using the linearized Vlasov--Maxwell equations. Included is the important influence of intense equilibrium self-fields. It is assumed that the ring is thin, and that ..nu../..gamma../sub b/<<1, where ..nu.. is Budker's parameter and ..gamma../sub b/mc/sup 2/ is the characteristic electron energy. The stability analysis is carried out for eigenfrequency ..omega.. close to harmonics of the cyclotron frequency ..omega../sub c//sub z/ in the vertical betatron field. Also included in the analysis is the influence of transverse electromagnetic effects and surface-wave perturbations. Dispersion relations for longitudinal perturbations are obtained, where it is assumed that the ring is located inside a perfectly conducting toroidal shell. There are several noteworthy points. First, transverse electromagnetic effects can completely stabilize the negative-mass instability for sufficiently high-current rings when betatron

• Research Organization: Plasma Fusion Center, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
• OSTI ID: 6355339
• Journal Information: Phys. Fluids; (United States), Journal Name: Phys. Fluids; (United States) Vol. 30:8; ISSN PFLDA
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
430200* -- Particle Accelerators-- Beam Dynamics
Field Calculations
&amp; Ion Optics
ACCELERATORS
BETATRONS
BOLTZMANN-VLASOV EQUATION
CYCLIC ACCELERATORS
DIFFERENTIAL EQUATIONS
ELECTRON RINGS
ENERGY RANGE
EQUATIONS
EQUILIBRIUM
PARTIAL DIFFERENTIAL EQUATIONS
RELATIVISTIC RANGE
STABILITY