Title :
On dynamic aperture (SSC accelerator)
Author_Institution :
Brookhaven Nat. Lab., Upton, NY, USA
Abstract :
An analytical method is presented to study the beam stability in large accelerators such as the SSC (Superconducting Supercollider) and an alternative to using the kick approximation (particle tracking) over large time intervals. This includes the stability factor f, which determines the convergence of the superconvergent perturbation theory, and the behavior of the system, e.g. stable if f>1, and unstable if f<1. The critical point where the system makes the transition from stable (F>1) to chaotic (f<1) behavior corresponds to f=1, the point at which the size of the beam is defined as the dynamic aperture in accelerators.<>
Keywords :
chaos; particle beam diagnostics; proton accelerators; storage rings; synchrotrons; SSC; Superconducting Supercollider; beam stability; kick approximation; particle beam diagnostics; particle tracking; stability factor; superconvergent perturbation theory; Acceleration; Apertures; Chaos; Colliding beam accelerators; Convergence; Motion analysis; Particle accelerators; Particle beams; Proton accelerators; Stability analysis;
Conference_Titel :
Particle Accelerator Conference, 1991. Accelerator Science and Technology., Conference Record of the 1991 IEEE
Conference_Location :
San Francisco, CA, USA
Print_ISBN :
0-7803-0135-8
DOI :
10.1109/PAC.1991.164811
