Coupling of Betatron and Phase Oscillations in a Synchrotron
- Argonne National Laboratory (ANL), Argonne, IL (United States)
The coupled equations for radial position, momentum, and phase oscillations in a synchrotron are treated by use of difference equations., The effect of a radial variation in the accelerating radiofrequency voltage is included in the treatment; any resultant camping of one type of oscillation is shown necessarily to be accompanied by equal anti-damping of oscillations of the other type. A simple treatment of the adiabatic variation of parameters for systems of linear differential or difference equations is given.
- Research Organization:
- Argonne National Laboratory (ANL), Argonne, IL (United States); Midwestern Universities Research Association (MURA), Urbana, IL (United States)
- Sponsoring Organization:
- US Atomic Energy Commission (AEC)
- NSA Number:
- NSA-11-003126
- OSTI ID:
- 4336469
- Report Number(s):
- MURA--35; EAC-MH/MAC-1
- Country of Publication:
- United States
- Language:
- English
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