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Title: Higher order multipole magnet tolerances

Abstract

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.

Authors:
; ;
Publication Date:
Research Org.:
Stanford Linear Accelerator Center, Menlo Park, CA (USA)
OSTI Identifier:
7166977
Report Number(s):
SLAC-PEP-NOTE-110; CONF-750335-3
ON: DE88013375
DOE Contract Number:  
AC03-76SF00515
Resource Type:
Conference
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
Subject:
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

Citation Formats

Chao, A W, Lee, M J, and Morton, P M. Higher order multipole magnet tolerances. United States: N. p., 1988. Web.
Chao, A W, Lee, M J, & Morton, P M. Higher order multipole magnet tolerances. United States.
Chao, A W, Lee, M J, and Morton, P M. 1988. "Higher order multipole magnet tolerances". United States. https://www.osti.gov/servlets/purl/7166977.
@article{osti_7166977,
title = {Higher order multipole magnet tolerances},
author = {Chao, A W and Lee, M J and Morton, P M},
abstractNote = {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.},
doi = {},
url = {https://www.osti.gov/biblio/7166977}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Fri Jan 01 00:00:00 EST 1988},
month = {Fri Jan 01 00:00:00 EST 1988}
}

Conference:
Other availability
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