THEORY OF R.F. ACCELERATION IN FIXED FIELD CIRCULAR ACCELERATORS. The Effect of Radially Varying Accelerating Gap-voltages on the Synchrotron Oscillations
Technical Report
·
OSTI ID:4314106
Report No. 6 on Study Programme on Beam Stacking Processes. It has been pointed out by Walkinshaw that the effect of a radially varying accelerating gap voltage amplitude, as far as the theory of r-f acceleration of charged particles in fixed field circular accelerators is concerned, may be taken into account simply by making the appropriate choice of canonical variables to describe the motion. The basic equations of motion in a single gap machine are derived as previously done, with the exception that now the gap voltage amplitude shall contain a radially dependent factor. Walkinshaw's theory is outlined. (M.H.R.)
- Research Organization:
- European Organization for Nuclear Research, Geneva
- NSA Number:
- NSA-12-012802
- OSTI ID:
- 4314106
- Report Number(s):
- CERN-58-10
- Country of Publication:
- Switzerland
- Language:
- English
Similar Records
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
Radial oscillations of a relativistic electron beam in an accelerating gap
COMPARISON OF PHASE OSCILLATIONS IN LINAC, FIXED-FIELD CIRCULAR ACCELERATOR, AND SYNCHROTRON
Technical Report
·
Mon Mar 31 23:00:00 EST 1958
·
OSTI ID:4334915
Radial oscillations of a relativistic electron beam in an accelerating gap
Journal Article
·
Tue Mar 31 23:00:00 EST 1981
· J. Appl. Phys.; (United States)
·
OSTI ID:6535055
COMPARISON OF PHASE OSCILLATIONS IN LINAC, FIXED-FIELD CIRCULAR ACCELERATOR, AND SYNCHROTRON
Technical Report
·
Tue Feb 28 23:00:00 EST 1961
·
OSTI ID:4009448