Accession Number : ADA137508

Title :   Modified Betatron Accelerator Studies.

Descriptive Note : Final rept. 1 Sep 81-31 Oct 83,


Personal Author(s) : Hughes,T P ; Godfrey,B B ; Campbell,M M

PDF Url : ADA137508

Report Date : Dec 1983

Pagination or Media Count : 158

Abstract : Results of an extensive study of the modified betatron accelerators are reported. The topics are beam injection, equilibrium and stability. Three-dimensional particle simulations of injections were performed. The results show good agreement with theory. Various types of equilibria were studied using two dimensional simulations. Results are compared to the calculations of Finn and Manheimer. Beam stability is investigated using a combination of analytic and numerical techniques. Growth rates of the negative mass, resistive wall, beam breakup, and image displacement instabilities are calculated. A new theory of the negative mass instability, keeping toroidal corrections to Maxwell's equations, is derived. Good agreement between theory and simulations is obtained. The negative mass instability is shown to be the dominant instability. Simulations show that it can disrupt the beam in a time of order one microsecond. Stabilization may require a beam of large minor radius. Work on the other instabilities show that measures can be taken to make their effect negligible. (Author)

Descriptors :   *Particle accelerators, *Betatrons, *Electron beams, *Computations, Injection, Stability, Equilibrium(General), Modification, Three dimensional, Simulation, Numerical methods and procedures, Maxwells equations, Image processing

Subject Categories : Numerical Mathematics
      Particle Accelerators

Distribution Statement : APPROVED FOR PUBLIC RELEASE