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Intrabeam scattering study for longitudinal strong focusing storage rings and lattice optimization

Zhilong Pan*, Wenhui Huang, and Chuanxiang Tang

Xiujie Deng and Alexander Wu Chao

  • *Contact author: panzl@mail.tsinghua.edu.cn

Phys. Rev. Accel. Beams 28, 114201 – Published 12 November, 2025

DOI: https://doi.org/10.1103/ysdm-mzv3

Abstract

In low and medium energy electron storage rings, intrabeam scattering (IBS) is a significant collective effect that can lead to an increase in equilibrium emittance, thereby diminishing the light source’s flux. Typically, the bunch length of the electron beam in storage rings is considered constant around the ring circumference. However, in the concept of steady-state microbunching storage rings, the bunch length can vary significantly around the ring in an effort to achieve high coherence in the longitudinal dimension. In this paper, we have extended the Bjorken and Mtingwa (B-M) model to accommodate this requirement, making it versatile enough to be used for arbitrary planar storage rings. Additionally, this paper addresses the simplification of equilibrium emittance calculations involving IBS through certain approximations, making it possible to directly calculate equilibrium emittance by a formula rather than conventional iteration method. This method reveals the physical relationship between equilibrium emittance and the IBS growth rates, and also allows for the IBS effect optimization of the ring lattice by directly using equilibrium emittance as the optimization target rather than the IBS growth rate.

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References (30)

  1. P. Raimondi, N. Carmignani, L. Carver, J. Chavanne, L. Farvacque, G. Le Bec, D. Martin, S. Liuzzo, T. Perron, and S. White, Commissioning of the hybrid multibend achromat lattice at the European Synchrotron Radiation Facility, Phys. Rev. Accel. Beams 24, 110701 (2021).
  2. Y. Jiao, G. Xu, X.-H. Cui, Z. Duan, Y.-Y. Guo, P. He, D.-H. Ji, J.-Y. Li, X.-Y. Li, C. Meng et al., The HEPS project, J. Synchrotron Radiat. 25, 1611 (2018).
  3. T. E. Fornek, Advanced photon source upgrade project preliminary design report, Technical Report No. APSU--2.01-RPT-002; 139008, Argonne National Laboratory (ANL), Funding Organization, 2017, 10.2172/1423830.
  4. A. Streun, M. Aiba, M. Böge, C. Calzolaio, M. Ehrlichman, M. Negrazus, B. Riemann, and V. Vrankovic, Swiss light source upgrade lattice design, Phys. Rev. Accel. Beams 26, 091601 (2023).
  5. C. Sun, H. Nishimura, D. Robin, F. Sannibale, C. Steier, M. Venturini, and W. Wan, Optimization of the ALS-U storage ring lattice, in Proceedings of International Particle Accelerator Conference (IPAC’16), Busan, Korea (JACoW, Geneva, Switzerland, 2016), Vol. 3, pp. 2959–2961.
  6. P. F. Tavares, S. C. Leemann, M. Sjöström, and Å. Andersson, The MAX IV storage ring project, J. Synchrotron Radiat. 21, 862 (2014).
  7. P.-H. Yang, G.-W. Liu, J.-H. Xu, W.-W. Li, T.-L. He, and Z.-H. Bai, Design and comparison of hybrid multi-bend achromat lattices for half storage ring, Nucl. Sci. Tech. 34, 107 (2023).
  8. A. Piwinski, J. D. Bjorken, and S. K. Mtingwa, Wilson prize article: Reflections on our experiences with developing the theory of intrabeam scattering, Phys. Rev. Accel. Beams 21, 114801 (2018).
  9. F. Antoniou, N. Milas, A. Streun, T. Demma, M. Aiba, M. Böge, and Y. Papaphilippou, Intrabeam scattering studies at the Swiss light source, in Proceedings of International Particle Accelerator Conference (IPAC2012), New Orleans, Louisiana, USA (2012), TUPPR057.
  10. A. Streun, M. Aiba, M. Böge, T. Garvey, V. Schlott et al., Towards an upgrade of the Swiss light source, in Proceedings of the 9th International Particle Accelerator Conference (IPAC-2018), Vancouver, BC, Canada (JACoW, Geneva, Switzerland, 2018), pp. 4358–4361.
  11. C. Steier, J. Byrd, S. De Santis, H. Nishimura, D. Robin, F. Sannibale, C. Sun, M. Venturini, and W. Wan, Physics design progress towards a diffraction limited upgrade of the ALS, in Proceedings of the 7th International Particle Accelerator Conference (IPAC2016), Busan, Korea (JACoW, Geneva, Switzerland, 2016), 10.18429/JACoW-IPAC2016-WEPOW049.
  12. A. Piwinski, Intra-beam scattering, in Frontiers of Particle Beams: Proceedings of a Topical Course, Held by the Joint US-CERN School on Particle Accelerators at South Padre Island, TX (Springer, New York, 2005), pp. 297–309.
  13. J. D. Bjorken and S. K. Mtingwa, Intrabeam scattering, Part. Accel. 13, 115 (1983).
  14. G. Parzen, Intrabeam scattering at high energies, Nucl. Instrum. Methods Phys. Res., Sect. A 256, 231 (1987).
  15. S. K. Mtingwa and A. V. Tollestrup, Intrabeam scattering formulae for asymptotic beams with unequal horizontal and vertical emittances, Technical Report No. FERMILAB-PUB-89/224, FERMILAB, Fermi National Accelerator Laboratory, 1987.
  16. K. Kubo, S. K. Mtingwa, and A. Wolski, Intrabeam scattering formulas for high energy beams, Phys. Rev. ST Accel. Beams 8, 081001 (2005).
  17. K. L. Bane, A simplified model of intrabeam scattering, arXiv:physics/0206002.
  18. A. Piwinski, Intra-beam scattering in presence of linear coupling, Technical Report No. DESY 90-113, Deutsches Elektronen-Synchrotron (DESY), 1990.
  19. V. Lebedev and S. Nagaitsev, Multiple intrabeam scattering in X-Y coupled focusing systems, arXiv:1812.09275.
  20. K. Kubo and K. Oide, Intrabeam scattering in electron storage rings, Phys. Rev. ST Accel. Beams 4, 124401 (2001).
  21. B. Nash, Analytical approach to eigen-emittance in storage rings, Ph.D. thesis, Stanford University, Stanford, 2006.
  22. K. Hirata, An introduction to sad, Proceedings of the Advanced ICFA Beam Dynamics Workshop, Lugano 1988, CERN Yellow Report (1988), http://acc-physics.kek.jp/SAD/sad.html.
  23. F. Antoniou. Optics design of intrabeam scattering dominated damping rings, Ph.D. thesis, CERN, Geneva, 2012.
  24. D. F. Ratner and A. W. Chao, Steady-state microbunching in a storage ring for generating coherent radiation, Phys. Rev. Lett. 105, 154801 (2010).
  25. A. W. Chao, Lectures on Accelerator Physics (World Scientific, Singapore, 2020).
  26. M. Borland, elegant: A flexible SDDS-compliant code for accelerator simulation, Technical Report No. LS-287, Argonne National Laboratory, Illinois, 2000.
  27. Z. Pan, Research on optimization and design of advanced laser-driving storage ring, Ph.D. thesis, Tsinghua University, Beijing, China, 2020.
  28. X. Deng, Theoretical and Experimental Studies on Steady-State Microbunching (Springer Nature, New York, 2024).
  29. S. Nagaitsev, Intrabeam scattering formulas for fast numerical evaluation, Phys. Rev. ST Accel. Beams 8, 064403 (2005).
  30. J. Xu, P. Yang, G. Liu, Z. Bai, and W. Li, Constraint handling in constrained optimization of a storage ring multi-bend-achromat lattice, Nucl. Instrum. Methods Phys. Res., Sect. A 988, 164890 (2021).

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