Concerning Resonant Beam Knock-Out from an A-G Synchrotron
- Iowa State Univ., Ames, IA (United States)
The efficacy of various types of field-index perturbations in effecting an instability potentially helpful for beam utilization is examined analytically for an alternating-gradient particle accelerator and the results illustrated by computational examples. The perturbations of interest open up a stop-band, at the frequency $$\nu_x$$, within which the solution to the equations for the radial betatron oscillations soon become dominated by a solution of exponentially- increasing amplitude. A field-index perturbation containing circular functions can open up such a stop-band. The azimuthal dependence of the perturbation can also serve to influence the form of the unstable solution.
- Research Organization:
- Midwestern Universities Research Association (MURA), Madison, WI (United States)
- Sponsoring Organization:
- US Atomic Energy Commission (AEC)
- NSA Number:
- NSA-13-011936
- OSTI ID:
- 4244877
- Report Number(s):
- MURA--445
- Country of Publication:
- United States
- Language:
- English
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