Analysis of sextupole effects on β function beating in the SSRF storage ring

TIAN Shun-Qiang; HOU Jie; CHEN Guang-Ling; LIU Gui-Min

doi:10.1088/1674-1137/32/7/013

Chinese Physics C> 2008, Vol. 32> Issue(7) : 576-579 DOI: 10.1088/1674-1137/32/7/013

Analysis of sextupole effects on β function beating in the SSRF storage ring

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Abstract：
In a storage ring, asymmetry of the β function with momentum deviation is the main reason for asymmetry of the dynamic aperture. This paper applies simulation method based on AT code in Matlab to investigate sensitivity of the β function beating and the tune shift to quadrupole field error with the presence of bending field error in the Shanghai Synchrotron Radiation Facility (SSRF) storage ring. Sextupole effect on the variation trend is analyzed. Dynamics of the lattice for working points close to and away from the second order structural resonance stop-band are compared. These results show that the β function beating with momentum deviation doesn't lie in the influence of the second order structural resonance stop-bands completely, but it is relevant to lattice structure.

References

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. Smith S L. Proc. of the EPAC. 2002. 44-482. Senichev Yu. Proc. of the PAC. 1999. 2442-24443. FANG Shou-Xian, QIN Qing. HEP NP, 2006, 30(9): 880(in Chinese)4. ZHAO Z T, XU H J. Proc. of the EPAC. 2004. 2368-23705. LIU G M et al. HEP NP, 2006, 30(1): 144 (in Chinese)6. JIAO Y, FANG S X et al. NIM A, 2006, 566: 2707. Corbett J et al. Proc. of the EPAC. 2006. 3472-34748. Bartolini R, Jones J K, Martin I P S et al. Proc. of the EPAC. 2006. 2089-20919. Filhol J M et al. Proc. of the EPAC. 2006. 2723-272710. Terebilo A. Accelerator Toolbox for MATLAB, SLAC-PUB-8732, 2001

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TIAN Shun-Qiang, HOU Jie, CHEN Guang-Ling and LIU Gui-Min. Analysis of sextupole effects on β function beating in the SSRF storage ring[J]. Chinese Physics C, 2008, 32(7): 576-579. doi: 10.1088/1674-1137/32/7/013

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Received: 2007-08-16
Revised: 2007-09-19

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沈阳化工大学材料科学与工程学院沈阳 110142

Analysis of sextupole effects on β function beating in the SSRF storage ring

Corresponding author: TIAN Shun-Qiang,

Received Date: 2007-08-16
Accepted Date: 2007-09-19
Available Online: 2008-07-05

Abstract:

In a storage ring, asymmetry of the β function with momentum deviation is the main reason for asymmetry of the dynamic aperture. This paper applies simulation method based on AT code in Matlab to investigate sensitivity of the β function beating and the tune shift to quadrupole field error with the presence of bending field error in the Shanghai Synchrotron Radiation Facility (SSRF) storage ring. Sextupole effect on the variation trend is analyzed. Dynamics of the lattice for working points close to and away from the second order structural resonance stop-band are compared. These results show that the β function beating with momentum deviation doesn't lie in the influence of the second order structural resonance stop-bands completely, but it is relevant to lattice structure.