利用八级铁校正衍射极限环中的失谐效应

Xuan Shouzhi; Tian Shunqiang; Liu Xinzhong; Gong Yihao; Mao Linglong

doi:10.11884/HPLPB202537.240387

利用八级铁校正衍射极限环中的失谐效应

doi: 10.11884/HPLPB202537.240387

宣守智^1,,
田顺强^{1, 2, ,},
刘新忠¹,
龚奕豪¹,
毛凌龙^{2, 3}

1.
中国科学院上海高等研究院，上海 201204
2.
中国科学院上海应用物理研究所，上海 201800
3.
中国科学院大学，北京 100049

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中图分类号: TL54+4
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出版历程
- 收稿日期: 2024-11-17
- 修回日期: 2025-06-11
- 录用日期: 2025-04-14
- 网络出版日期: 2025-06-21

Detuning effect corrections using octupoles in diffraction-limited storage ring

1.
Shanghai Advanced Research Institute, Chinese Academy of Sciences, Shanghai 201204, China
2.
Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai 201800, China
3.
University of Chinese Academy of Sciences, Beijing 100049, China

More Information

Author Bio:
Xuan Shouzhi, xuansz@sari.ac.cn

Corresponding author: Tian Shunqiang, tiansq@sari.ac.cn。

摘要

摘要: 新一代光源具有极低发射度，产生更高亮度的同步辐射光，探索更小物质尺度。低发射度会使得四级铁强度提高，产生较高的自然色品，需要六极铁校正这些自然色品。为了达到衍射极限环要求，为上海同步辐射光源升级改造（SSRF-U）设计新磁聚焦结构，在3.5 GeV束流能量下实现了72.2 pm·rad的自然发射度。然而，由于六极铁强度高，产生高度二阶共振驱动项会引起失谐效应，降低储存环性能。为了解决这个问题，计划在SSRF-U存储环中安装八极铁。本文介绍了八极铁选择和优化方法。得到了SSRF-U存储环的最优方案，可以有效地缓解振幅相关的调谐频移项和二阶色品，从而提高动力学孔径（DA）和动量接受度（MA），提高对磁场误差的容忍度。
- 上海光源升级改造 /
- 八极铁 /
- 振幅相关频移项 /
- 动力学孔径 /
- 动量接受度
Abstract: The next generation of synchrotron radiation light sources features extremely low emittance, enabling the generation of synchrotron radiation with significantly higher brilliance, which facilitates the exploration of matter at smaller scales. However, the extremely low emittance results in stronger sextupole magnet strengths, leading to high natural chromaticity. This necessitates the use of sextupole magnets to correct the natural chromaticity. For the Shanghai Synchrotron Radiation Facility Upgrade (SSRF-U), a lattice was designed for the storage ring that can achieve an ultra-low natural emittance of 72.2 pm·rad on the beam energy of 3.5 GeV. However, the significant detuning effects, led by high second-order resonant driving terms due to strong sextupoles, will degrade performance of the facility. To resolve this issue, installation of octupoles in the SSRF-U storage ring has been planned. This paper presents the study results about configuration choosing and optimization method for the octupoles. An optimal solution for the SSRF-U storage ring was obtained to effectively mitigate the amplitude-dependent tune shift and the second-order chromaticity, consequently leading an increased dynamic aperture (DA), momentum acceptance (MA), and reduced sensitivity to magnetic errors.
- Shanghai Synchrotron Radiation Facility Upgrade /
- octupole /
- amplitude-dependent tune shift /
- dynamic aperture /
- momentum aperture

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Figure 1. Linear optical functions and magnet layout of the SSRF-U storage ring

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Figure 2. Frequency map analysis(FMA) of SSRF-U

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Figure 3. The DAs and MAs of MOPSO optimization

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Figure 4. The positions of the triple octupole and octupole quadruplet, as well as the values of βx/βy

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Figure 5. The FMA after adding octupoles

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Figure 6. The momentum acceptance of the SSRF-U in three cases

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Figure 7. The comparison between DA with and without octupoles

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Figure 8. The comparison between beam lifetime with and without octupoles

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Figure 9. The MA with 20 multipole error seeds of SSRF-U storage ring with octupoles

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Figure 10. Dynamic acceptance with 20 multipole error seeds in three cases

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Table 1. Main parameters of the SSRF-U storage ring

energy/GeV	current/mA	circumference/m	tune	natural emittance/(pm·rad)	natural chromaticity	corrected chromaticity
3.5	500	432	51.17/16.22	72.2	−98.6/-68.1	3/3

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Table 2. Values of the geometric driving terms of SSRF-U

$ h\left(21000\right) $	$ h\left(30000\right) $	$ h\left(10110\right) $	$ h\left(10020\right) $	$ h\left(10200\right) $
18.4249+9.9991i	3.4214+46.6197i	35.8782+19.5071i	123.11～105.61i	−0.2746+2.6100i

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