THE ELECTRIC GAP-CROSSING RESONANCE IN A THREE-SECTOR CYCLOTRON
Technical Report
·
OSTI ID:4760312
The theory of accelerated orbits in the median plane of a sector-focused cyclotron is developed using a Lagrangrian formalism. The equation for the radial oscillations about the instantaneous equilibrium orbit is reduced, by suitable transformation, to that for a simple oscillator of frequency nu /sub r/ driven by perturbations arising from the electric gapcrossing mechanism. For a three-sector magnet and a two-sector'' dee-geometry, these perturbations have Fourier components in resonance with the radial oscillation frequency nu /sub r/ , which is always close to unity in a medium-energy machine. The effects of these perturbations are calculated and discussed. The results of computer studies of accelerated orbits in three-sector fields are presented which demonstrate the effects of the gapcrossing resonance under various conditions. These results are discussed with the aid of the theory. The data indicate that a first-harmonic correction field of 3 to 10 gauss can be used to counteract the gap-crossing resonance effects. (auth)
- Research Organization:
- Michigan State Univ., East Lansing
- NSA Number:
- NSA-17-004154
- OSTI ID:
- 4760312
- Report Number(s):
- TID-17248
- Country of Publication:
- United States
- Language:
- English
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