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 

作者机构：Institute of High Energy Physics Chinese Academy of Sciences 

出 版 物：《Nuclear Science and Techniques》 (核技术（英文）)

年 卷 期：2016年第27卷第1期

页      面：5-7页

核心收录：

学科分类：08[工学] 082701[工学-核能科学与工程] 0827[工学-核科学与技术] 

基　　金：support and assistance. This work was supported by National Natural Science Foundation of China (No. 11105165) 

主　　题：解析表达式 四极杆 场误差 电场干扰 李代数方法 Tron 薄透镜 密相 

摘      要：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.