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Experimental results of the betatron sum resonance

Conference ·
OSTI ID:10128697
; ;  [1]
  1. Indiana Univ., Bloomington, IN (United States); and others
The experimental observations of motion near the betatron sum resonance, {nu}{sub x} + 2{nu}{sub z} = 13, are presented. A fast quadrupole (Panofsky-style ferrite picture-frame magnet with a pulsed power supplier) producing a betatron tune shift of the order of 0.03 at rise time of 1 {mu}s 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{sub x} and J{sub z}, was observed. The phase space plots in the resonance frame reveal the features of particle motion near the nonlinear sum resonance region.
Research Organization:
Fermi National Accelerator Lab., Batavia, IL (United States)
Sponsoring Organization:
USDOE, Washington, DC (United States); National Science Foundation, Washington, DC (United States)
DOE Contract Number:
AC02-76CH03000
OSTI ID:
10128697
Report Number(s):
FNAL/C--93/175; CONF-930511--512; ON: DE94007396; CNN: PHY-9221402
Country of Publication:
United States
Language:
English

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