Chromaticity correction in large storage rings
As the size of storage rings proposed and under construction increases, the chromaticity reaches values which require correction schemes with a new order of sophistication involving sextupoles. The very large chromaticities encountered in storage rings like PEP, PETRA and the ''Very Big Storage Rings'' produce a new set of undesirable characteristics in the beam dynamics which require a more complicated means of correction. The method of attack used at PEP to solve the problem of both satisfactory chromaticity correction and stable non-linear motion is discussed. The analytic expressions developed for calculating the dispersion function through second order in delta and for the tune shifts through third order in delta, agree well with the results of the matrix multiplication method over the range in delta of interest. Analytic expressions for the tune shift with betatron amplitude agree well with the results from the tracking programs and can be used to determine for which amplitudes the tune will be shifted to a resonance.
- Research Organization:
- California Univ., Berkeley (USA). Lawrence Berkeley Lab.; Stanford Linear Accelerator Center, Calif. (USA)
- OSTI ID:
- 5197196
- Report Number(s):
- SLAC-PUB-1910; CONF-770313-129
- Country of Publication:
- United States
- Language:
- English
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Chromaticity correction in large storage rings
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Related Subjects
430400* -- Particle Accelerators-- Storage Rings
ANALYTICAL SOLUTION
BEAM DYNAMICS
BETATRON OSCILLATIONS
CALCULATION METHODS
CHROMATIC ABERRATIONS
CORRECTIONS
DIFFERENTIAL EQUATIONS
DISPERSION RELATIONS
EQUATIONS
EQUATIONS OF MOTION
OSCILLATIONS
PEP STORAGE RINGS
STORAGE RINGS
TUNING