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

• 作 者: Yuan Chen Cheng-Hui Yu Qing Qin Jiu-QingWang Shou-Xian Fang
• 机 构: Institute of High Energy Physics, Chinese Academy of Sciences,
• 出 处: Nuclear Science and Techniques
• 发表日期: 2016年01期
• 关键词: Fringe field interference Lie algebra technique Betatron tune shift

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.

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.