Title :
Particle amplitude growth due to single or repetitive resonance crossing
Author :
Mane, S.R. ; Weng, W.T.
Author_Institution :
Brookhaven Nat. Lab., Upton, NY, USA
Abstract :
A study is made of the problem of the growth of the amplitude of a particle executing betatron oscillations in a synchrotron or storage ring, due to the crossing of a resonance line. The resonance can be crossed either only once, or repeatedly. The authors treat only one degree of freedom and assume the particles in the beam are independent. They consider some simple models of amplitude-dependent tunes, to discern the effects of detuning away from the resonance as the particle amplitude grows. The basic equation of motion treated is the harmonic oscillator equation.<>
Keywords :
harmonic oscillators; particle beam diagnostics; storage rings; synchrotrons; amplitude-dependent tunes; betatron oscillations; degree of freedom; detuning; harmonic oscillator equation; particle amplitude growth; repetitive resonance crossing; resonance line; single resonance crossing; storage ring; synchrotron; Equations; Frequency; H infinity control; Laboratories; Oscillators; Particle beams; Resonance; Storage rings; Synchrotrons; Tracking;
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.1991.164711
