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

fYear

1993

fDate

17-20 May 1993

Firstpage

227

Abstract

The experimental observations of motion near the betatron sum resonance, ν_x+2ν_z=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, J_x and J_z, 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;

fLanguage

English

Publisher

ieee

Conference_Titel

Particle Accelerator Conference, 1993., Proceedings of the 1993

Conference_Location

Washington, DC

Print_ISBN

0-7803-1203-1

Type

conf

DOI

10.1109/PAC.1993.308958

Filename

308958