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Chinese Physics C> 2017, Vol. 41> Issue(2) : 027001 DOI: 10.1088/1674-1137/41/2/027001

Optimizing the lattice design of a diffraction-limited storage ring with a rational combination of particle swarm and genetic algorithms

  • 1.

     Key Laboratory of Particle Acceleration Physics and Technology, Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049

  • In the lattice design of a diffraction-limited storage ring (DLSR) consisting of compact multi-bend achromats (MBAs), it is challenging to simultaneously achieve an ultralow emittance and a satisfactory nonlinear performance, due to extremely large nonlinearities and limited tuning ranges of the element parameters. Nevertheless, in this paper we show that the potential of a DLSR design can be explored with a successive and iterative implementation of the multi-objective particle swarm optimization (MOPSO) and multi-objective genetic algorithm (MOGA). For the High Energy Photon Source, a planned kilometer-scale DLSR, optimizations indicate that it is feasible to attain a natural emittance of about 50 pm·rad, and simultaneously realize a sufficient ring acceptance for on-axis longitudinal injection, by using a hybrid MBA lattice. In particular, this study demonstrates that a rational combination of the MOPSO and MOGA is more effective than either of them alone, in approaching the true global optima of an explorative multi-objective problem with many optimizing variables and local optima.

  • References

    [1] Z. Zhao, Reviews of Accelerator Science and Technology, 3:57(2010)
    [2] D. Einfeld, J. Schaper, and M. Plesko, in Proceeding of PAC'95(Dallas, USA, 1995), p. 177-179
    [3] R. Hettel, J. Synchrotron Radiat., 21:843-855(2014)
    [4] E. Al-Dmour et al, J. Synchrotron Radiat., 21:878-883(2014)
    [5] M. Johansson et al, J. Synchrotron Radiat., 21:884-903(2014)
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    [7] L. Liu et al, J. Synchrotron Radiat., 21:904-911(2014)
    [8] Y. Jiao, Y. Cai, and A. W. Chao, Phys. Rev. ST Accel. Beams, 14:054002(2011)
    [9] L. C. Teng, Fermilab Report No. TM-1269, 1984
    [10] Y. Cai, K. Bane, R. Hettel, Y. Nosochkov, M.H. Wang, and M. Borland, Phys. Rev. ST Accel. Beams, 15:054002(2012)
    [11] Y. Jiao and G. Xu, Chin. Phys. C, 37:117005(2013)
    [12] M. Borland et al, J. Synchrotron Radiat., 21:912-936(2014)
    [13] Y. Jiao and G. Xu, Chin. Phys. C, 39:067004(2015)
    [14] L. Farvacque et al, in Proceeding of IPAC2013(Shanghai, China, 2013), p. 79-81
    [15] M. Borland et al, in Proceeding of IPAC2015(Richmond, USA, 2015), p. 1776-1778
    [16] G. Xu, Y. Jiao, and Y.M. Peng, Chin. Phys. C, 40:027001(2016)
    [17] F. Willeke, in Proceeding of IPAC2015(Richmond, USA, 2015), p. 11-16
    [18] Y. Jiao and Z. Duan, Nucl. Instrum. Methods Phys. Res., Sect. A, 841:97-103(2017)
    [19] A. Terebilo, SLAC-PUB-8732, 2001
    [20] L. Nadolski and J. Laskar, Phys. Rev. ST Accel. Beams, 6:114801(2003)
    [21] G. Xu et al, in Proceeding of IPAC2016(Busan, Korea, 2016), WEOAA02
    [22] M. Aiba, M. Bge, F. Marcellini, . Sa Hernndez, and A. Streun, Phys. Rev. ST Accel. Beams, 18:020701(2015)
    [23] Y. Jiao, Chin. Phys. C, 40:077002(2016)
    [24] I. V. Bazarov and C.K. Sinclair, Phys. Rev. ST Accel. Beams, 8:034202(2005)
    [25] L. Yang et al, Nucl. Instrum. Methods Phys. Res., Sect. A, 609:50-57(2009)
    [26] M. Borland et al, in Proceeding of PAC'09(Vancouver, Canada, 2009), p. 3850-3852
    [27] L. Yang, Y. Li, W. Guo, and S. Krinsky, Phys. Rev. ST Accel. Beams, 14:054001(2011)
    [28] W. Gao, L. Wang, and W. Li, Phys. Rev. ST Accel. Beams, 14:094001(2011)
    [29] Z. Bai, L. Wang, and W. Li, in Proceeding of IPAC2011(San Sebastin, Spain, 2011), p. 2271-2273
    [30] X. Pang and L.J. Rybarcyk, Nucl. Instrum. Methods Phys. Res., Sect. A, 741:124-129(2014)
    [31] X. Huang and J. Safranek, Nucl. Instrum. Methods Phys. Res., Sect. A, 757:48-53(2014)
    [32] K. Deb, IEEE Trans. Evol. Comput., 6:182(2002)
    [33] S. K. Tian, HEPS internal report, 2016
    [34] J. Laskar, in Proceeding of PAC'03(Portland, USA, 2003), p. 378-382

  • References

    [1] Z. Zhao, Reviews of Accelerator Science and Technology, 3:57(2010)
    [2] D. Einfeld, J. Schaper, and M. Plesko, in Proceeding of PAC'95(Dallas, USA, 1995), p. 177-179
    [3] R. Hettel, J. Synchrotron Radiat., 21:843-855(2014)
    [4] E. Al-Dmour et al, J. Synchrotron Radiat., 21:878-883(2014)
    [5] M. Johansson et al, J. Synchrotron Radiat., 21:884-903(2014)
    [6] P. F. Tavares et al, J. Synchrotron Radiat., 21:862-877(2014)
    [7] L. Liu et al, J. Synchrotron Radiat., 21:904-911(2014)
    [8] Y. Jiao, Y. Cai, and A. W. Chao, Phys. Rev. ST Accel. Beams, 14:054002(2011)
    [9] L. C. Teng, Fermilab Report No. TM-1269, 1984
    [10] Y. Cai, K. Bane, R. Hettel, Y. Nosochkov, M.H. Wang, and M. Borland, Phys. Rev. ST Accel. Beams, 15:054002(2012)
    [11] Y. Jiao and G. Xu, Chin. Phys. C, 37:117005(2013)
    [12] M. Borland et al, J. Synchrotron Radiat., 21:912-936(2014)
    [13] Y. Jiao and G. Xu, Chin. Phys. C, 39:067004(2015)
    [14] L. Farvacque et al, in Proceeding of IPAC2013(Shanghai, China, 2013), p. 79-81
    [15] M. Borland et al, in Proceeding of IPAC2015(Richmond, USA, 2015), p. 1776-1778
    [16] G. Xu, Y. Jiao, and Y.M. Peng, Chin. Phys. C, 40:027001(2016)
    [17] F. Willeke, in Proceeding of IPAC2015(Richmond, USA, 2015), p. 11-16
    [18] Y. Jiao and Z. Duan, Nucl. Instrum. Methods Phys. Res., Sect. A, 841:97-103(2017)
    [19] A. Terebilo, SLAC-PUB-8732, 2001
    [20] L. Nadolski and J. Laskar, Phys. Rev. ST Accel. Beams, 6:114801(2003)
    [21] G. Xu et al, in Proceeding of IPAC2016(Busan, Korea, 2016), WEOAA02
    [22] M. Aiba, M. Bge, F. Marcellini, . Sa Hernndez, and A. Streun, Phys. Rev. ST Accel. Beams, 18:020701(2015)
    [23] Y. Jiao, Chin. Phys. C, 40:077002(2016)
    [24] I. V. Bazarov and C.K. Sinclair, Phys. Rev. ST Accel. Beams, 8:034202(2005)
    [25] L. Yang et al, Nucl. Instrum. Methods Phys. Res., Sect. A, 609:50-57(2009)
    [26] M. Borland et al, in Proceeding of PAC'09(Vancouver, Canada, 2009), p. 3850-3852
    [27] L. Yang, Y. Li, W. Guo, and S. Krinsky, Phys. Rev. ST Accel. Beams, 14:054001(2011)
    [28] W. Gao, L. Wang, and W. Li, Phys. Rev. ST Accel. Beams, 14:094001(2011)
    [29] Z. Bai, L. Wang, and W. Li, in Proceeding of IPAC2011(San Sebastin, Spain, 2011), p. 2271-2273
    [30] X. Pang and L.J. Rybarcyk, Nucl. Instrum. Methods Phys. Res., Sect. A, 741:124-129(2014)
    [31] X. Huang and J. Safranek, Nucl. Instrum. Methods Phys. Res., Sect. A, 757:48-53(2014)
    [32] K. Deb, IEEE Trans. Evol. Comput., 6:182(2002)
    [33] S. K. Tian, HEPS internal report, 2016
    [34] J. Laskar, in Proceeding of PAC'03(Portland, USA, 2003), p. 378-382

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5. Liu, W., Jiao, Y., Zhao, Y. et al. Multi-objective optimization of longitudinal injection based on a multi-frequency RF system for fourth-generation storage ring-based light sources[J]. Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 2023. doi: 10.1016/j.nima.2022.167712
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16. Zhao, Y., Li, Z., Liu, W. et al. Physics issues of the diffraction-limited storage ring light source | [衍射极限储存环光源相关物理问题][J]. Kexue Tongbao/Chinese Science Bulletin, 2020, 65(24): 2587-2600. doi: 10.1360/TB-2020-0165
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Get Citation
Yi Jiao and Gang Xu. Optimizing the lattice design of a diffraction-limited storage ring with a rational combination of particle swarm and genetic algorithms[J]. Chinese Physics C, 2017, 41(2): 027001. doi: 10.1088/1674-1137/41/2/027001
Yi Jiao and Gang Xu. Optimizing the lattice design of a diffraction-limited storage ring with a rational combination of particle swarm and genetic algorithms[J]. Chinese Physics C, 2017, 41(2): 027001.  doi: 10.1088/1674-1137/41/2/027001 shu
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Received: 2016-07-26
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    Supported by NSFC (11475202, 11405187) and Youth Innovation Promotion Association CAS (2015009)

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Optimizing the lattice design of a diffraction-limited storage ring with a rational combination of particle swarm and genetic algorithms

    Corresponding author: Yi Jiao,
  • 1. Key Laboratory of Particle Acceleration Physics and Technology, Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049
  • Received Date: 2016-07-26
  • Available Online: 2017-02-05
Fund Project:  Supported by NSFC (11475202, 11405187) and Youth Innovation Promotion Association CAS (2015009)

Abstract: In the lattice design of a diffraction-limited storage ring (DLSR) consisting of compact multi-bend achromats (MBAs), it is challenging to simultaneously achieve an ultralow emittance and a satisfactory nonlinear performance, due to extremely large nonlinearities and limited tuning ranges of the element parameters. Nevertheless, in this paper we show that the potential of a DLSR design can be explored with a successive and iterative implementation of the multi-objective particle swarm optimization (MOPSO) and multi-objective genetic algorithm (MOGA). For the High Energy Photon Source, a planned kilometer-scale DLSR, optimizations indicate that it is feasible to attain a natural emittance of about 50 pm·rad, and simultaneously realize a sufficient ring acceptance for on-axis longitudinal injection, by using a hybrid MBA lattice. In particular, this study demonstrates that a rational combination of the MOPSO and MOGA is more effective than either of them alone, in approaching the true global optima of an explorative multi-objective problem with many optimizing variables and local optima.

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