Beam Trapping in a Modified Betatron with Torsatron Windings.
Abstract
The guiding center equations for the reference electron that is located at the centroid of an intense electron ring confined in a torsatron assisted modified betatron field are derived by time averaging out its fast motion. These slow equations are integrated analytically to obtain the nonlinear orbits for the guiding center. In addition, from the guiding center equations we have obtained a nonlinear expression that predicts very accurately the ring equilibrium position even for large displacement from the minor axis of the torus. These results have provided an invaluable insight in the development of a trapping scheme. The proposed scheme is compatible with the slow acceleration of the modified betatron and is based on a low amplitude, rapidly varying magnetic field that shifts the ring equilibrium position from near the wall to the minor axis of the torus in time shorter than a beam bounce period. Keywords: Accelerators; and Modified betatron.
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 05, 1985
- Accession Number
- ADA161696
Entities
People
- Chris A. Kapetanakos
- D. Dialetis
- S. J. Marsh
Organizations
- United States Naval Research Laboratory