Nonlinear transverse electron beam dynamics in a modified betatron accelerator

Journal Article · Mon Jul 01 00:00:00 EDT 1985 · Phys. Fluids; (United States)

DOI:https://doi.org/10.1063/1.865279· OSTI ID:5562345

Kapetanakos, C A; Marsh, S J

The transverse electron beam dynamics in a modified betatron accelerator is studied using a new approach. This approach is based on the two exact constants of the motion and the potentials at the center of the beam. The main advantage of the present technique is that the ring orbits can be accurately determined over the entire minor cross section of the torus and not only near the minor axis. The results indicate that the electron ring orbits in the plane transverse to the toroidal magnetic field always close inside the vacuum chamber, and their topology is often substantially different than that predicted from the linear theory.

• Research Organization: Plasma Physics Division, Naval Research Laboratory, Washington, D. C. 20375
• OSTI ID: 5562345
• Journal Information: Phys. Fluids; (United States), Journal Name: Phys. Fluids; (United States) Vol. 28:7; ISSN PFLDA
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
430200* -- Particle Accelerators-- Beam Dynamics
Field Calculations
& Ion Optics
ACCELERATORS
ANNULAR SPACE
BEAM DYNAMICS
BEAMS
BETATRONS
CONFIGURATION
CYCLIC ACCELERATORS
DIFFERENTIAL EQUATIONS
ELECTRON BEAMS
ELECTRON RINGS
EQUATIONS
EQUATIONS OF MOTION
LEPTON BEAMS
MAGNETIC FIELDS
MODIFICATIONS
NONLINEAR PROBLEMS
ORBITS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE BEAMS
SPACE
TOROIDAL CONFIGURATION
VACUUM SYSTEMS