Analytical expression for betatron tune shift due to field errors in lump quadrupole

Yuan CHEN; Chenghui YU; Qing QIN; Jiuqing WANG; Shouxian FANG

doi:10.1007/s41365-016-0001-1

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Analytical expression for betatron tune shift due to field errors in lump quadrupole

SYNCHROTRON RADIATION TECHNOLOGY AND APPLICATIONS | Updated：2021-02-23

- Analytical expression for betatron tune shift due to field errors in lump quadrupole
- Nuclear Science and Techniques Vol. 27, Issue 1, Article number: 6(2016)
- Affiliations：
  
  1.Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China
- Author bio：
  
  Corresponding author. chenyuan@ihep.ac.cn
- Funds：
- DOI：10.1007/s41365-016-0001-1
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Yuan CHEN, Chenghui YU, Qing QIN, et al. Analytical expression for betatron tune shift due to field errors in lump quadrupole. [J]. Nuclear Science and Techniques 27(1):6(2016)
DOI：

Yuan CHEN, Chenghui YU, Qing QIN, et al. Analytical expression for betatron tune shift due to field errors in lump quadrupole. [J]. Nuclear Science and Techniques 27(1):6(2016) DOI： 10.1007/s41365-016-0001-1.

摘要

Abstract

The integrated gradient of a quadrupole will be deviated by a close neighboring sextupole, and this is called the effect of fringe field interference. Using the Lie algebra techniques, an analytical expression for the betatron tune shift due to this effect has been derived. The process doesn’t depend on the supposition of the thin-lens quadrupoles. It can be used to estimate the tune shift differences between the designed lattice and the one including the fringe field interference. More generally, the method can be applied to other kinds of fringe field interference.

关键词

Keywords

Fringe field interferenceLie algebra techniqueBetatron tune shift

references

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