Nonlinear optimization of the modern synchrotron radiation storage ring based on frequency map analysis

  • In this paper, we present a rule to improve the nonlinear solution with frequency map analysis (FMA), and without frequently revisiting the optimization algorithm. Two aspects of FMA are emphasized. The first one is the tune shift with amplitude, which can be used to improve the solution of harmonic sextupoles, and thus obtain a large dynamic aperture. The second one is the tune diffusion rate, which can be used to select a quiet tune. Application of these ideas is carried out in the storage ring of the Shanghai Synchrotron Radiation Facility (SSRF), and the detailed processes, as well as better solutions, are presented in this paper. Discussions about the nonlinear behaviors of off-momentum particles are also presented.

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  • [1] . Sands M. SLAC TN-69-8, Stanford, 19692. Smith S L. Proceedings of the European Particle Acceler-ator Conference. France: Paris, 2002. 44-483. Tan Y R E. Proceedings of the Particle Accelerator Con-ference. Knoxville, USA: Tennessee, 2005. 407-4094. Tosi L, Bocchetta C J, Iazzourene F et al. Proceedings of the European Particle Accelerator Conference. England:London, 1994. 1006-10085. TIAN Shun-Qiang, HOU Jie, CHEN Guang-Ling, LIU Gui-Min. Chinese Physics C (HEP NP), 2008, 32: 661-6646. Owen H, Jones J, Smith S. Proceedings of the European Particle Accelerator Conference. France: Paris, 2002. 751-7537. Bengtsson J. Proceedings of the European Particle Accel-erator Conference. Scotland: Edinburgh, 2006. 3478-34808. Laskar J. Proceedings of the Particle Accelerator Confer-ence. Portland, USA: Oregon, 2003. 378-3829. Dumas H S, Laskar J. Phys. Rev. Lett., 1993, 70: 297510. Sterier C, Robin D, Nadolski L et al. Phys. Rev. E, 2002,65: 05650611. Turchetti G, Bazzani A, Bergamini F et al. Nucl. Instrum.Methods A, 2001, 464: 55112. Robin D, Krupnick J, Schlueter R et al. Nucl. Instrum.Methods A, 2005, 538: 6513. Mitri S Di, LIU G M, Tosi L. Proceedings of the European Particle Accelerator Conference. Switzerland: Lucerne,2004. 2062-206414. Kuske P. Proceedings of the Particle Accelerator Confer-ence. Knoxville, USA: Tennessee, 2005. 266-26815. JIAO Y, FANG S X, QIN Q et al. Nucl. Instrum. MethodsA, 2006, 566: 27016. Arbold V I, Kozlov V V, Neishtadt A I. Mathematical As-pects of Classical and Celestial Mechanics: Dyn. SystemsIII. New York: Springer, 198817. Nadolski L, Laskar J. Phys. Rev. ST, 2003, 6: 11480118. Bengtsson J. The Sextupole Scheme for the Swiss LightSource, SLS Note 9/9719. ZHAO Z T, XU H J. Proceedings of the European Par-ticle Accelerator Conference. Switzerland: Lucerne, 2004.2368-237020. XU H J, ZHAO Z T. Nuclear Science and Technique, 2008,19: 1-621. LIU G M, DAI Z M, LI H H et al. HEP NP, 2006,30(Supp.Ⅰ): 144 22. FANG Shou-Xian, QIN Qing. HEP NP, 2006, 30(9): 880 23. TIAN Shun-Qiang, HOU Jie, CHEN Guang-Ling, LIU Gui-Min. Chinese Physics C (HEP NP), 2008, 32: 576-579
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TIAN Shun-Qiang, LIU Gui-Min, LI Hao-Hu, HOU Jie, CHEN Guang-Ling and WAN Cheng-Lan. Nonlinear optimization of the modern synchrotron radiation storage ring based on frequency map analysis[J]. Chinese Physics C, 2009, 33(2): 127-134. doi: 10.1088/1674-1137/33/2/011
TIAN Shun-Qiang, LIU Gui-Min, LI Hao-Hu, HOU Jie, CHEN Guang-Ling and WAN Cheng-Lan. Nonlinear optimization of the modern synchrotron radiation storage ring based on frequency map analysis[J]. Chinese Physics C, 2009, 33(2): 127-134.  doi: 10.1088/1674-1137/33/2/011 shu
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Received: 2008-04-11
Revised: 2008-04-30
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Nonlinear optimization of the modern synchrotron radiation storage ring based on frequency map analysis

    Corresponding author: TIAN Shun-Qiang,

Abstract: 

In this paper, we present a rule to improve the nonlinear solution with frequency map analysis (FMA), and without frequently revisiting the optimization algorithm. Two aspects of FMA are emphasized. The first one is the tune shift with amplitude, which can be used to improve the solution of harmonic sextupoles, and thus obtain a large dynamic aperture. The second one is the tune diffusion rate, which can be used to select a quiet tune. Application of these ideas is carried out in the storage ring of the Shanghai Synchrotron Radiation Facility (SSRF), and the detailed processes, as well as better solutions, are presented in this paper. Discussions about the nonlinear behaviors of off-momentum particles are also presented.

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