Betatron frequency deviations due to magnet field impurities

Technical Report · Mon Mar 01 00:00:00 EST 1976

OSTI ID:6657108

Chao, A W; Lee, M J

Due to magnet field impurities in a storage ring the betatron frequencies for a given particle depend upon the energy and betatron amplitudes of the particle as well as the values of the energy dispersion and betatron functions at the magnets. A method has been developed to calculate the betatron frequencies for any particle in the limit of zero vertical betatron amplitude. Using this method the betatron frequency values have been calculated for a range of particle energy and horizontal betatron amplitude with measured field errors in the prototype PEP cell quadrupole magnets for a typical operation configuration. In the present study the expressions for the betatron frequencies are extended to include non-zero vertical betatron amplitudes. As an example, the field quality of the prototype PEP cell quadrupole magnets are re-examined using these expressions. 4 refs., 1 fig.

• Research Organization: Stanford Linear Accelerator Center, Menlo Park, CA (USA)
• DOE Contract Number: AC03-76SF00515
• OSTI ID: 6657108
• Report Number(s): SLAC-PEP-NOTE-212; ON: DE89004589
• Resource Relation: Other Information: Portions of this document are illegible in microfiche products
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
PEP STORAGE RINGS
BETATRON OSCILLATIONS
BEAM EMITTANCE
IMPURITIES
MAGNETIC FIELDS
QUADRUPOLAR CONFIGURATIONS
BEAM DYNAMICS
CLOSED CONFIGURATIONS
MAGNETIC FIELD CONFIGURATIONS
MULTIPOLAR CONFIGURATIONS
OSCILLATIONS
STORAGE RINGS
430200* - Particle Accelerators- Beam Dynamics
Field Calculations
& Ion Optics