THEORY OF R.F. ACCELERATION IN FIXED FIELD CIRCULAR ACCELERATORS. Consequences of the Energy Oscillations of Phase Instable Particles. The Occurrence of Buckets in Multiple Gap Accelerators
Technical Report
·
OSTI ID:4334915
Report No. 5 of Studty Programme on Beam Stacking Processes. The concept of moving buckets containlng those trajectories on the 14, gamma ) phase cylinder that are representative of particles which are phase stable with respect to some specific subharmonic of the accelerating gap voltage is discussed. If the buckets are to be used for stacking particles at a given energy level in the accelerator, then the phase unstable trajectories outside the bucket become as important as the phase stable ones inside. The reason is that the already stacked particles will find themselves outside the oncoming buckets, and will be influenced in such a way as to increase the energy spread among the stacked particles in proportion to the number of buckets used in the stacking process. In certain unfavorable cases one may even expect heavy losses of stacked particles as a consequence of a resonance between their betatron oscillations and the oscillations which are executed due to the presence of a nearby bucket (r-f knockout). Even the phase stable particles trapped inside a certain bucket may simultaneously be affected also by these. The order of magnitude of this effect, which is actually the error introduced by the approximations involved in the basic equations, may be calculated. This allows a statement on the limit of applicability of the Bucket Theory to be made. (M.H.R.)
- Research Organization:
- European Organization for Nuclear Research, Geneva
- NSA Number:
- NSA-12-012801
- OSTI ID:
- 4334915
- Report Number(s):
- CERN-58-9
- Country of Publication:
- Switzerland
- Language:
- English
Similar Records
Suppression of betatron oscillation excitation (R.F. knockout) by the R.F. accelerating system of a fixed field accelerator
THEORY OF R.F. ACCELERATION IN FIXED FIELD CIRCULAR ACCELERATORS. The Effect of Radially Varying Accelerating Gap-voltages on the Synchrotron Oscillations
Phase stability in surfatron acceleration
Technical Report
·
Wed Feb 06 23:00:00 EST 1957
·
OSTI ID:4330983
THEORY OF R.F. ACCELERATION IN FIXED FIELD CIRCULAR ACCELERATORS. The Effect of Radially Varying Accelerating Gap-voltages on the Synchrotron Oscillations
Technical Report
·
Mon May 12 00:00:00 EDT 1958
·
OSTI ID:4314106
Phase stability in surfatron acceleration
Conference
·
Fri Dec 31 23:00:00 EST 1982
·
OSTI ID:5690675