Title :
Sum betatron resonances under linear coupling of oscillations
Author :
Chirkov, P.N. ; Petrenko, I.I.
Author_Institution :
IHEP, Moscow, Russia
Abstract :
The joint effect of an arbitrary sum resonance and a linear coupling resonance Qy-Qx=0 on stability of betatron oscillations in a circular accelerator is studied. The presence of linear coupling is shown to result in splitting of the cluster of sum resonance straight-lines into a family of hyperbolic curves. The analytic results obtained are verified by numerical simulations
Keywords :
betatrons; cyclic accelerators; numerical analysis; particle accelerators; particle beam stability; analytic results; arbitrary sum resonance; betatron oscillations stability; circular accelerator; hyperbolic curves; joint effect; linear oscillations coupling; numerical simulations; sum betatron resonances; Azimuth; Couplings; Energy exchange; Linear accelerators; Magnetic analysis; Magnetic fields; Magnetic resonance; Nonlinear equations; Numerical simulation; Stability;
Conference_Titel :
Particle Accelerator Conference, 1995., Proceedings of the 1995
Conference_Location :
Dallas, TX
Print_ISBN :
0-7803-2934-1
DOI :
10.1109/PAC.1995.505695