Title :
Experimental results of the betatron sum resonance
Author :
Wang, Y. ; Ball, M. ; Brabson, B. ; Budnick, J. ; Caussyn, D.D. ; Chao, A.W. ; Collins, J. ; Derenchuk, V. ; Dutt, S. ; East, G. ; Ellison, M. ; Friesel, D. ; Hamilton, B. ; Huang, H. ; Jones, W.P. ; Lee, S.Y. ; Li, D. ; Minty, M. ; Nagaitsev, S. ; Ng, K.
Author_Institution :
Cyclotron Facility, Indiana Univ., Bloomington, IN, USA
Abstract :
The experimental observations of motion near the betatron sum resonance, νx+2νz=13, are presented. A fast quadrupole (Panofsky-style ferrite picture-frame magnet with 8 pulsed power supplies) producing a betatron tune shift of the order of 0.03 at rise time of 1 μs was used. This quadrupole was used to produce betatron tunes which jumped past and then crossed back through a betatron sum resonance line. The beam response as function of initial betatron amplitudes were recorded turn by turn. The correlated growth of the action variables, Jx and Jz, was observed. The phase space plots in the resonance frame reveal the features of particle motion near the nonlinear sum resonance region
Keywords :
particle beam diagnostics; proton accelerators; storage rings; synchrotrons; Panofsky-style ferrite picture-frame magnet; action variables; beam response; betatron sum resonance; betatron tune shift; fast quadrupole; nonlinear sum resonance region; particle motion; phase space plots; pulsed power supplies; Boundary conditions; Chaos; Data analysis; Electron beams; Ferrites; Laboratories; Magnetic resonance; Nonlinear equations; Particle accelerators; Pulsed power supplies;
Conference_Titel :
Particle Accelerator Conference, 1993., Proceedings of the 1993
Conference_Location :
Washington, DC
Print_ISBN :
0-7803-1203-1
DOI :
10.1109/PAC.1993.308958
