Skip to main content

Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.

  • Review Article
  • Published:

Energy-recovery linacs for energy-efficient particle acceleration

Abstract

Energy-recovery linacs are inherently energy-efficient because the RF power needed for acceleration is recovered during deceleration. Energy recovery enables extremely high-power beams that are not economically or ecologically possible using a simple linac. The fundamental technology is not new, but has taken on an increased importance in recent years. In this Review, I describe the positive aspects of the technology, the areas that are under active study to improve the overall efficiency and areas that need further R&D. The need for validation of the entire system is explained and the active proposals described.

Key points

  • Energy-recovery linacs (ERLs) have already demonstrated impressive efficiency in routine operation.

  • If ERLs are to move into the mainstream of high-energy colliders, these advantages need to be enhanced with targeted R&D and be demonstrated at higher energies in a multiturn configuration.

  • The cryogenic plant is the largest contributor to the electrical efficiency of an ERL facility.

  • The most effective way to reduce the energy required by the cryoplant is to reduce the cryogenic load of the superconducting RF cavities, either by decreasing the surface resistivity of the cavity material or by operating at a higher temperature of 4 K.

  • Operation at 4 K is expected to have the biggest impact on energy efficiency, and this will also benefit smaller ERLs for universities and smaller research institutes, ushering in a new era of energy-efficient electron accelerators.

  • Other R&D is directed at energy savings from the RF power.

This is a preview of subscription content, access via your institution

Access options

Buy this article

Prices may be subject to local taxes which are calculated during checkout

Fig. 1: The principle of energy-recovery linacs.
Fig. 2: The landscape of past, present and proposed energy-recovery linacs.
Fig. 3: Qualitative Sankey Diagram for an energy-recovery linac.
Fig. 4: Comparison of the best niobium cavity results at 2 K with the best Nb3Sn-coated cavity results at 2 K and 4.4 K.
Fig. 5: Calculated reduction in electrical power for the PERLE RF cavities using FE-FRTs to minimize reflected power.

Similar content being viewed by others

References

  1. Segurana, G. et al. Construction of self-consistent longitudinal matches in multipass energy recovery linacs. Phys. Rev. Accel. Beams 25, 021003 (2022).

    Article  ADS  Google Scholar 

  2. Adolphsen, C. et al. The development of energy recovery linacs. Preprint at https://arxiv.org/abs/2207.02095 (2022).

  3. Arnold, M. et al. First operation of the superconducting Darmstadt linear electron accelerator as an energy recovery linac. Phys. Rev. Accel. Beams 23, 020101 (2020).

    Article  ADS  Google Scholar 

  4. Schliessmann, F. et al. Realization of a multiturn energy recovery accelerator. Nat. Phys. 19, 597–602 (2023).

    Article  Google Scholar 

  5. Hug, F. et al. in 63rd ICFA Advanced Beam Dynamics Workshop on Energy Recovery Linacs Vol. 6 (JACoW, 2020).

  6. Schlimme, B. S. et al. Operation and characterization of a windowless gas jet target in high-intensity electron beams. Nucl. Instrum. Methods Phys. 1013, 165668 (2021).

    Article  Google Scholar 

  7. Abo-Bakr, M. et al. in 63rd ICFA Advanced Beam Dynamics Workshop on Energy Recovery Linacs (JACoW, 2020).

  8. Neumann, A. et al. in Proc. 9th Int. Particle Accelerator Conf. 1660–1663 (JACoW, 2018).

  9. Angal-Kalinin, D. et al. PERLE. Powerful energy recovery linac for experiments. Conceptual design report. J. Phys. G Nucl. Part. Phys. 45, 065003 (2018).

    Article  ADS  Google Scholar 

  10. Obina, T. et al. in Proc. 10th Int. Particle Accelerator Conf. 1482–1485 (JACoW, 2019).

  11. Sakai, H. et al. in Proc. 20th Int. Conf. on RF Superconductivity 714–717 (JACoW, 2021).

  12. Hoffstaetter, G. H. et al. CBETA design report, Cornell-BNL ERL test accelerator. Preprint at https://arxiv.org/abs/1706.04245 (2017).

  13. Berg, J. et al. in Proc. 59th ICFA Advanced Beam Dynamics Workshop 52–57 (JACoW, 2018).

  14. Brooks, S. et al. in Proc. 10th Int. Particle Accelerator Conf. 4318–4321 (JACoW, 2019).

  15. Willeke, F. et al. Electron ion collider conceptual design report 2021 (USDOE, 2021).

  16. Meot, F. et al. in Proc. 7th Int. Particle Accelerator Conf. 8–13 (JACoW, 2016).

  17. LHeC Study Group Collaboration. A large hadron electron collider at CERN: report on the physics and design concepts for machine and detector. J. Phys. G Nucl. Part. Phys. 39, 075001 (2012).

    Article  ADS  Google Scholar 

  18. FCC Collaboration. FCC physics opportunities: future circular collider conceptual design report volume 1. Eur. Phys. J. C 79, 474 (2019).

    Article  Google Scholar 

  19. Litvinenko, V. N., Roser, T. & Chamizo-Llatas, M. High-energy high-luminosity e+e- collider using energy-recovery linacs. Phys. Lett. B 804, 135394 (2020).

    Article  Google Scholar 

  20. Telnov, V. I. A high-luminosity superconducting twin e+e- linear collider with energy recovery. J. Instrum. 16, P12025 (2021).

    Article  Google Scholar 

  21. Curatolo, C. & Serafini, L. Electrons and X-rays to muon pairs (EXMP). Appl. Sci. 12, 3149 (2022).

    Article  Google Scholar 

  22. Bogacz, S. A. et al. SAPPHiRE: a small gamma–gamma Higgs factory. Preprint at https://arxiv.org/abs/1208.2827 (2012).

  23. Mastracci, B., et al. Commissioning of a replacement subatmospheric cold box for Jefferson Lab’s Central Helium Liquefier. IOP Conf. Ser. Mater. Sci. Eng. 1240, 012069 (2022).

    Article  Google Scholar 

  24. Knudsen, P. et al. Modifications to JLab 12 GeV refrigerator and wide range mix mode performance testing results. IOP Conf. Ser. Mater. Sci. Eng. 171, 012015 (2017).

    Article  Google Scholar 

  25. Ganni, V. & Knudsen, P. Optimal design and operation of helium refrigeration systems using the Ganni Cycle. AIP Conf. Proc. 1218, 1057 (2010).

    Article  ADS  Google Scholar 

  26. Parker, T. et al. ESS energy design report (European Spallation Source ESS AB, 2013).

  27. Krstulovich, S. F. Technical manual for calculating cooling pond performance (USDOE, 1988).

  28. Ganni, V. & Knudsen, P. Helium refrigeration considerations for cryomodule design. AIP Conf. Proc. 1573, 1814 (2014).

    Article  ADS  Google Scholar 

  29. Sheppard, K. Superconducting heavy-ion accelerating structures. Nucl. Instrum. Methods. Phys. Res. A 382, 125–131 (1996).

    Article  ADS  Google Scholar 

  30. Burrill, A. Production and performance of LCLS-II cryomodules. Presented at the 19th International Conference on RF Super conductivity (2019).

  31. Grassellino, A. et al. Nitrogen and argon doping of niobium for superconducting radio frequency cavities: a pathway to highly efficient accelerating structures. Supercond. Sci. Technol. 26, 102001 (2013).

    Article  ADS  Google Scholar 

  32. Dhakal, P. Nitrogen doping and infusion in SRF cavities: a review for history. Phys. Open 5, 100034 (2020).

    Article  Google Scholar 

  33. Giaccone, B. LCLS-II HE verification-CM cavities results after plasma processing. Presented at TTC High-Q High-G Working Group (2022).

  34. Grasselino, A. et al. Accelerating fields up to 49 MV/m in TESLA-shape superconducting RF niobium cavities via 75C vacuum bake. Preprint at https://arxiv.org/abs/1806.09824 (2018).

  35. Ito, H. et al. Influence of furnace baking on Q‒E behavior of superconducting accelerating cavities. Prog. Theor. Exp. Phys. 2021, 071G01 (2021).

    Article  Google Scholar 

  36. Porter, R. D., Banerjee, N. & Liepe, M. in 20th Int. Conf. RF Superconductivity 6–10 (JACoW, 2021).

  37. Eremeev, G. Nb3Sn multicell cavity coating system at Jefferson Lab. Rev. Sci. Instrum. 91, 07391 (2020).

    Article  Google Scholar 

  38. Eremeev, G. et al. in 19th Int. Conf. RF Superconductivity 55–59 (JACoW, 2019).

  39. Barzi, E. et al. in 2022 Snowmass Summer Study FERMILAB-CONF-22-134-TD (American Physical Society, 2022).

  40. Calatroni, S. 20 years of experience with the Nb/Cu technology for superconducting cavities and perspectives for future developments. Physica C 441, 95–101 (2005).

    Article  ADS  Google Scholar 

  41. Antoine, C. Z. in 65th ICFA Adv. Beam Dyn. Workshop High. Luminosity Circular e+ e− Collid. 159–164 (2023).

  42. Dhakal, P. et al. Flux expulsion in niobium superconducting radio-frequency cavities of different purity and essential contributions to the flux sensitivity. Phys. Rev. Accel. Beams 23, 023102 (2020).

    Article  ADS  Google Scholar 

  43. Dhuley, R. C. et al. Development of a cryocooler conduction-cooled 650 MHz SRF cavity operating at 10 MV/m CW accelerating gradient. IOP Conf. Ser. Mater. Sci. Eng. 1240, 012147 (2022).

    Article  Google Scholar 

  44. Marhauser, F. in Proc 5th Int. Particle Accelerator Conf. 3349–3351 (JACoW, 2014).

  45. Adolphsen, C. et al. in The Development of Energy Recovery Linacs Ch. 4.2 (USDOE, 2022).

  46. Bai, M. et al. C3: a ‘cool’ route to the Higgs Boson and beyond. Preprint at https://arxiv.org/abs/2110.15800 (2021).

  47. Eichhorn, R. et al. in Proc. 4th Int. Particle Accelerator Conf. 2441–2443 (JACoW, 2013).

  48. Eichhorn, R. et al. The Cornell main linac cryomodule: a full scale, high Q accelerator module for CW application. Phys. Proc. 67, 785–790 (2015).

    Article  ADS  Google Scholar 

  49. Marhauser, F. Next generation HOM-damping. Supercond. Sci. Technol. 30, 063002 (2017).

    Article  ADS  Google Scholar 

  50. Banerjee, N. et al. Active suppression of microphonics detuning in high QL cavities. Phys. Rev. Accel. Beams 22, 052002 (2019).

    Article  ADS  Google Scholar 

  51. Shipman, N. et al. in 63th ICFA Advanced Beam Dynamics Workshop on Energy Recovery Linacs 42–47 (JACoW, 2019).

  52. Shipman, N. et al. in International Workshop on Energy Recovery Linacs (Cornell Univ., 2022).

  53. Castilla, A. Ferroelectric fast tuners for SRF applications. Preproposal PRE-000003302352 to DE-FOA-0002821, Early Career Research Program (USDOE, 2023).

  54. Cai, J. et al. Beam optics study on a two-stage multibeam klystron for the future circular collider. IEEE Trans. Electron Devices 69, 4563–4571 (2022).

    Article  ADS  Google Scholar 

  55. Yu, T. C. et al. in 12th Int. Part. Acc. Conf. 3748–3751 (JACoW, 2021).

  56. Pompon, F. Design and commissioning of the MYRRHA RFQ solid state amplifier. Presented at ARIES Workshop on Energy Efficient RF Power Generation (2019).

  57. Garoby, R. et al. Corrigendum: the European spallation source design. Phys. Scr. 93, 129501 (2018).

    Article  ADS  Google Scholar 

  58. Ives, R. L. et al. High efficiency, low cost, RF sources for accelerators and colliders. J. Instrum. 18, T05003 (2023).

    Article  Google Scholar 

  59. Douglas, D. et al. in Proc. 32nd Int. Free Electron Laser Conf. 193–196 (JACoW, 2010).

  60. D’Hondt, J. et al. Innovate for Sustainable Accelerating Systems (ISAS). Proposal No. 101131435 to HORIZON-INFRA-2023-TECH-01 (European Commission, 2023).

  61. Benson, S. et al. in 2007 IEEE Particle Accelerator Conf. 79–81 (IEEE, 2007).

  62. Shevchenko, O. A. et al. The Novosibirsk free electron laser facility. AIP Conf. Proc. 2299, 020001 (2020).

    Article  Google Scholar 

  63. Mounet, N. (ed.) CERN Yellow Reports: Monograph 1 (CERN, 2022).

  64. Posen, S. Advances in Nb3Sn superconducting radiofrequency cavities towards first practical accelerator applications. Supercond. Sci. Technol. 34, 025007 (2021).

    Article  ADS  Google Scholar 

Download references

Acknowledgements

This work was supported by the U.S. Department of Energy, Office of Science, Office of Nuclear Physics under Contract No. DE-AC05-06OR23177. In developing this Review, the author has received an enormous amount of help from friends and co-workers around the world, unfortunately too many to enumerate without forgetting someone. The author thanks them all and note that any errors in the text are his alone.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Andrew Hutton.

Ethics declarations

Competing interests

The author declares no competing interests.

Peer review

Peer review information

Nature Reviews Physics thanks Hiroshi Sakai and Oliver Brüning for their contribution to the peer review of this work.

Additional information

Publisher’s note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Hutton, A. Energy-recovery linacs for energy-efficient particle acceleration. Nat Rev Phys 5, 708–716 (2023). https://doi.org/10.1038/s42254-023-00644-6

Download citation

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1038/s42254-023-00644-6

Search

Quick links

Nature Briefing Anthropocene

Sign up for the Nature Briefing: Anthropocene newsletter — what matters in anthropocene research, free to your inbox weekly.

Get the most important science stories of the day, free in your inbox. Sign up for Nature Briefing: Anthropocene