Acknowledgement
We thank Michael Borland for providing helpful information and many useful discussions through the Elegant forum. This work was supported by a Korea University Grant and also by the International Science and Business Belt Program through the Ministry of Science and ICT (2023-SB-SB-0084-02).
References
- Pantaleo Raimondi, et al., The extremely brilliant source storage ring of the European synchrotron radiation facility, Commun. Phys. 6 (82) (2023).
- MAX IV Detailed Design Report, https://www.maxiv.lu.se/accelerators-beamlines/accelerators/accelerator-documentation/max-iv-ddr/.
- L. Liu, N. Milas, A. H. C. Mukai, X. R. Resende, A. R. D. Rodriguet and F. H. Sa, Proc. Of IPAC2013, p. 1874.
- Q. Zhang, H. Li, Moea/d: a multiobjective evolutionary algorithm based on decomposition, IEEE Trans. Evol. Comput. 11 (6) (2007) 712-731. https://doi.org/10.1109/TEVC.2007.892759
- K. Deb, A. Pratap, S. Agarwal, T. Meyarivan, A fast and elitist multiobjective genetic algorithm: nsga-ii, IEEE Trans. Evol. Comput. 6 (2) (April 2002) 182-197. https://doi.org/10.1109/4235.996017
- J. Kennedy, R. Eberhart, Particle swarm optimization, Proceedings of ICNN'95 - International Conference on Neural Networks 4 (Nov 1995) 1942-1948, 4.
- M. Clerc, J. Kennedy, The particle swarm - explosion, stability, and convergence in a multidimensional complex space, IEEE Trans. Evol. Comput. 6 (1) (Feb 2002) 58-73. https://doi.org/10.1109/4235.985692
- Xiaobiao Huang, Minghao Song, Zhe Zhang, Multi-objective Multi-Generation Gaussian Process Optimizer for Design Optimization, 2019 arXiv preprint arXiv: 1907.00250.
- K. Brown, IEEE Trans. Nucl. Sci., NS- 26 (1979) 3490-3492. https://doi.org/10.1109/TNS.1979.4330076
- Pantaleo Raimondi, Simone Maria Liuzzo, Toward a diffraction limited light source, Phys. Rev. Accel. and Beams 26 (2023) 021601.
- Chao, Lecture Notes on Topics, Accelerator Physics, 9574, SLAC-PUB, 2002.
- Yunhai Cai, Karl Bane, Robert Hettel, Yuri Nosochkov, Min-Huey Wang, Ultimate storage ring based on fourth-order geometric achromats, Phys. Rev. ST Accel. and Beams 15 (2012) 054002.
- J. Bengtsson, The Sextupole Scheme for the Swiss Light Source (SLS): an Analytic Approach, 9/97, SLS Note, 1997.
- Chun-xi Wang, Explicit Formulas for 2nd-Order Driving Terms Due to Sextupoles Ans Chromatic Effects of Quadrupoles, LS-330, ANL/APS/, 2012.
- D. Trbojevic, J. Wei, S. Tepikian, S. Peggs, F. Dell, and T. Satogta, RHIC Chromatic Correction System, BNL-49656.
- Karl L. Brown, A First- and Second-Order Matrix Theory for the Design of Beam Transport Systems and Charge Particle Spectrometers, SLAC Report-75, June, 1982.
- M. Borland, Elegant: a flexible SDDS-compliant code for accelerator simulation, Advanced Photon Source LS-287 (2000).