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

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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 does not 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.

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Acknowledgments

The authors would like to thank J.Y. Tang of IHEP and D.M. Zhou of KEK for the discussions on the subject of the Lie algebra technique. The authors also thank other colleagues in IHEP for their support and assistance. This work was supported by National Natural Science Foundation of China (No. 11105165).

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Authors and Affiliations

  1. Institute of High Energy Physics, Chinese Academy of Sciences, Beijing, 100049, China

    Yuan Chen, Cheng-Hui Yu, Qing Qin, Jiu-Qing Wang & Shou-Xian Fang

Authors
  1. Yuan Chen
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  2. Cheng-Hui Yu
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  3. Qing Qin
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  4. Jiu-Qing Wang
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  5. Shou-Xian Fang
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Correspondence to Yuan Chen.

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Chen, Y., Yu, CH., Qin, Q. et al. Analytical expression for betatron tune shift due to field errors in lump quadrupole. NUCL SCI TECH 27, 6 (2016). https://doi.org/10.1007/s41365-016-0001-1

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  • DOI: https://doi.org/10.1007/s41365-016-0001-1

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