Higher order multipole magnet tolerances

Conference · Fri Jan 01 00:00:00 EST 1988

OSTI ID:7166977

Chao, A W; Lee, M J; Morton, P M

Due to field impurities in the magnets in a storage ring or circular accelerator the values of the betatron frequencies for a given particle in a beam are dependent upon the energy and betatron amplitude of the particle as well as the values of the energy dispersion and betatron functions at the magnets. A method has been developed for finding the values of the betatron frequencies for any particle with given field impurities. This method has been used to study the quality of several preliminary designs of some of the quadrupole magnets in PEP by comparing the variations of the betatron frequencies over the maximum expected range of values of the particle energy and betatron amplitude. The expressions for the values of betatron frequencies as functions of the various beam and machine parameters are derived. Some of the results for the evaluation of two types of the PEP magnets are also presented. A discussion of these results is given as well. 3 refs., 5 figs., 2 tabs.

• Research Organization: Stanford Linear Accelerator Center, Menlo Park, CA (USA)
• DOE Contract Number: AC03-76SF00515
• OSTI ID: 7166977
• Report Number(s): SLAC-PEP-NOTE-110; CONF-750335-3; ON: DE88013375
• Resource Relation: Conference: Particle accelerator conference, Washington, DC, USA, 12 Mar 1975; Other Information: Paper copy only, copy does not permit microfiche production
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
PEP STORAGE RINGS
BETATRON OSCILLATIONS
BEAM TRANSPORT
EQUATIONS OF MOTION
MAGNETS
MULTIPOLAR CONFIGURATIONS
BEAM DYNAMICS
CLOSED CONFIGURATIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
MAGNETIC FIELD CONFIGURATIONS
OSCILLATIONS
PARTIAL DIFFERENTIAL EQUATIONS
STORAGE RINGS
430400* - Particle Accelerators- Storage Rings