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