Stability and Scaling of High Current Cyclic Accelerators
Abstract
This report presents theoretical results on the stability and scaling of compact electron accelerators using continuous strong focusing in the form of stellarator windings. The work attempted to address in some considerable detail every major physics issue which would affect the design of accelerators using stellarator fields. These issues divide into two categories: beam equilibria and matching and beam stability; Beam equilibria are states in which focusing and defocusing and defocusing forces are in balance. Collections of non-interacting single particles, launched with a distribution of initial conditions, are defocused by the finite beam emittance and focused by external fields. For strong focusing systems there typically exist regions of parameter space in which particle orbits are stable, separated by so-called stopbands, in which the motion is unstable. For non-interacting particles, every collection of initial conditions, are defocused by the finite beam emittance and focused by external fields. For strong focusing systems there typically exist regions of parameter space in which particle orbits are stable, separated by so-called stopbands, in which the motion is unstable. For non-interacting particles, every collection of initial conditions in a stable system represents an equilibrium. Once space charge forces are considered, the situation becomes more complex; only in the simple case of a uniform elliptical beam can equilibria be constructed analytically. (JES)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 17, 1989
- Accession Number
- ADA213143
Entities
Organizations
- Leidos