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  • Letter
  • Open Access

Wakefield regeneration in a plasma accelerator

J. P. Farmer*

G. Zevi Della Porta

  • CERN, Genève, Switzerland and Max-Planck-Institut für Physik, München, Germany

  • *Contact author: j.farmer@cern.ch
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Phys. Rev. Research 7, L012055 – Published 5 March, 2025

DOI: https://doi.org/10.1103/PhysRevResearch.7.L012055

Abstract

Plasma wakefields offer high acceleration gradients, orders of magnitude larger than conventional RF accelerators. However, the achievable luminosity remains relatively low, typically limited by the repetition rate and the charge accelerated per shot. In this work, we show that a train of drive bunches can be harnessed to accelerate multiple witness bunches in a single shot. We demonstrate that periodically loading the wakefields removes the limit on the energy transfer from the drive beam to the plasma, which allows the luminosity to be increased. Proof-of-concept simulations for the AWAKE scheme are carried out to demonstrate the technique, achieving a doubling of the accelerated charge while exploiting only a fraction of the drive train.

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References (55)

  1. T. Tajima and J. M. Dawson, Laser electron accelerator, Phys. Rev. Lett. 43, 267 (1979).
  2. P. Chen, J. M. Dawson, R. W. Huff, and T. Katsouleas, Acceleration of electrons by the interaction of a bunched electron beam with a plasma, Phys. Rev. Lett. 54, 693 (1985).
  3. C. A. Lindstrøm, J. M. Garland, S. Schröder, L. Boulton, G. Boyle, J. Chappell, R. D'Arcy, P. Gonzalez, A. Knetsch, V. Libov, G. Loisch, A. Martinez de la Ossa, P. Niknejadi, K. Põder, L. Schaper, B. Schmidt, B. Sheeran, S. Wesch, J. Wood, and J. Osterhoff, Energy-spread preservation and high efficiency in a plasma-wakefield accelerator, Phys. Rev. Lett. 126, 014801 (2021).
  4. R. D'Arcy, J. Chappell, J. Beinortaite, S. Diederichs, G. Boyle, B. Foster, M. J. Garland, P. G. Caminal, C. A. Lindstrøm, G. Loisch, S. Schreiber, S. Schröder, R. J. Shalloo, M. Thévenet, S. Wesch, M. Wing, and J. Osterhoff, Recovery time of a plasma-wakefield accelerator, Nature (London) 603, 58 (2022).
  5. N. E. Andreev, L. M. Gorbunov, V. I. Kirsanov, A. A. Pogosova, and R. R. Ramazashvili, Resonant excitation of wakefields by a laser pulse in a plasma, Pis'ma Zh. Eksp. Teor. Fiz. 55, 551 (1992) [JETP Lett. 55, 571 (1992)].
  6. J. Krall, A. Ting, E. Esarey, and P. Sprangle, Enhanced acceleration in a self-modulated-laser wake-field accelerator, Phys. Rev. E 48, 2157 (1993).
  7. P. Muggli, B. Allen, M. Babzien, K. Kusche, J. Park, and V. Yakimenko, Acceleration of an Electron Bunch with Narrow Energy Spread in a PWFA, in Proceedings of Particle Accelerator Conference (PAC09), Vancouver, BC, Canada (JACoW Publishing, Geneva, Switzerland, 2010), pp. 4576–4578.
  8. J. Cowley, C. Thornton, C. Arran, R. J. Shalloo, L. Corner, G. Cheung, C. D. Gregory, S. P. D. Mangles, N. H. Matlis, D. R. Symes, R. Walczak, and S. M. Hooker, Excitation and control of plasma wakefields by multiple laser pulses, Phys. Rev. Lett. 119, 044802 (2017).
  9. A. Caldwell and K. V. Lotov, Plasma wakefield acceleration with a modulated proton bunch, Phys. Plasmas 18, 103101 (2011).
  10. E. Adli, et al. (AWAKE Collaboration), Experimental observation of proton bunch modulation in a plasma at varying plasma densities, Phys. Rev. Lett. 122, 054802 (2019).
  11. M. N. Rosenbluth and C. S. Liu, Excitation of plasma waves by two laser beams, Phys. Rev. Lett. 29, 701 (1972).
  12. K. V. Lotov, Excitation of two-dimensional plasma wakefields by trains of equidistant particle bunches, Phys. Plasmas 20, 083119 (2013).
  13. D. Umstadter, E. Esarey, and J. Kim, Nonlinear plasma waves resonantly driven by optimized laser pulse trains, Phys. Rev. Lett. 72, 1224 (1994).
  14. E. Chiadroni, D. Alesini, M. Anania, A. Bacci, M. Bellaveglia, A. Biagioni, F. Bisesto, F. Cardelli, G. Castorina, A. Cianchi, M. Croia, A. Gallo, D. Di Giovenale, G. Di Pirro, M. Ferrario, F. Filippi, A. Giribono, A. Marocchino, A. Mostacci, M. Petrarca, L. Piersanti, S. Pioli, R. Pompili, S. Romeo, A. Rossi, J. Scifo, V. Shpakov, B. Spataro, A. Stella, C. Vaccarezza, and F. Villa, Beam manipulation for resonant plasma wakefield acceleration, Nucl. Instrum. Methods Phys. Res., Sect. A 865, 139 (2017), Physics and Applications of High Brightness Beams 2016.
  15. J. J. van de Wetering, S. M. Hooker, and R. Walczak, Multi-gev wakefield acceleration in a plasma-modulated plasma accelerator, Phys. Rev. E 109, 025206 (2024).
  16. K. V. Lotov, Physics of beam self-modulation in plasma wakefield accelerators, Phys. Plasmas 22, 103110 (2015).
  17. O. Jakobsson, S. M. Hooker, and R. Walczak, Gev-scale accelerators driven by plasma-modulated pulses from kilohertz lasers, Phys. Rev. Lett. 127, 184801 (2021).
  18. P. Schutt, T. Weiland, and V. M. Tsakanov, On the wake field acceleration using a sequence of driving bunches, in Proceedings of the Second All-Union Conference on New Methods of Charged Particle Acceleration (Springer, New York, 1989), Vol. 7, p. 12.
  19. J. G. Power, W. Gai, and A. Kanareykin, Transformer ratio enhancement using a ramped bunch train in a collinear wakefield accelerator, AIP Conf. Proc. 569, 605 (2001).
  20. T. Katsouleas, S. Wilks, P. Chen, J. M. Dawson, and J. J. Su, Beam loading efficiency in plasma accelerators, Part. Accel. 22, 81 (1987).
  21. J. B. Rosenzweig, B. Breizman, T. Katsouleas, and J. J. Su, Acceleration and focusing of electrons in two-dimensional nonlinear plasma wake fields, Phys. Rev. A 44, R6189 (1991).
  22. A. Pukhov and J. Meyer-ter-Vehn, Laser wake field acceleration: The highly non-linear broken-wave regime, Appl. Phys. B 74, 355 (2002).
  23. V. K. B. Olsen, E. Adli, and P. Muggli, Emittance preservation of an electron beam in a loaded quasilinear plasma wakefield, Phys. Rev. Accel. Beams 21, 011301 (2018).
  24. C. S. Hue, G. J. Cao, I. A. Andriyash, A. Knetsch, M. J. Hogan, E. Adli, S. Gessner, and S. Corde, Efficiency and beam quality for positron acceleration in loaded plasma wakefields, Phys. Rev. Res. 3, 043063 (2021).
  25. J. B. Rosenzweig, A. M. Cook, A. Scott, M. C. Thompson, and R. B. Yoder, Effects of ion motion in intense beam-driven plasma wakefield accelerators, Phys. Rev. Lett. 95, 195002 (2005).
  26. C. B. Schroeder, E. Esarey, C. Benedetti, and W. P. Leemans, Control of focusing forces and emittances in plasma-based accelerators using near-hollow plasma channels, Phys. Plasmas 20, 080701 (2013).
  27. S. van der Meer, Improving the power efficiency of the plasma wakefield accelerator, Technical Report CERN-PS-85-65-AA, CLIC-Note-3, CERN, Geneva, 1985.
  28. R. D. Ruth, A. W. Chao, P. L. Morton, and P. B. Wilson, A plasma wake field accelerator, Part. Accel. 17, 171 (1985).
  29. R. Maeda, T. Katsouleas, P. Muggli, C. Joshi, W. B. Mori, and W. Quillinan, Possibility of a multibunch plasma afterburner for linear colliders, Phys. Rev. ST Accel. Beams 7, 111301 (2004).
  30. E. Esarey, P. Sprangle, J. Krall, and A. Ting, Overview of plasma-based accelerator concepts, IEEE Trans. Plasma Sci. 24, 252 (1996).
  31. J. P. Farmer, R. Martorelli, and A. Pukhov, Transformer ratio saturation in a beam-driven wakefield accelerator, Phys. Plasmas 22, 123113 (2015).
  32. J. M. Dawson, Nonlinear electron oscillations in a cold plasma, Phys. Rev. 113, 383 (1959).
  33. E. Gschwendtner, K. Lotov, M. W. Patric Muggli et al. (AWAKE Collaboration), The AWAKE Run 2 programme and beyond, Symmetry 14, 1680 (2022).
  34. European Strategy for Particle Physics—Accelerator R&D Roadmap, edited by N. Mounet (CERN Yellow Reports: Monographs, 2022).
  35. J. Farmer, A. Caldwell, and A. Pukhov, Preliminary investigation of a higgs factory based on proton-driven plasma wakefield acceleration, New J. Phys. 26, 113011 (2024).
  36. K. V. Lotov, Fine wakefield structure in the blowout regime of plasma wakefield accelerators, Phys. Rev. ST Accel. Beams 6, 061301 (2003).
  37. See https://lcode.info for code description and manual.
  38. F. Batsch, P. Muggli et al. (AWAKE Collaboration), Transition between instability and seeded self-modulation of a relativistic particle bunch in plasma, Phys. Rev. Lett. 126, 164802 (2021).
  39. J. B. Rosenzweig, G. Andonian, M. Ferrario, P. Muggli, O. Williams, V. Yakimenko, and K. Xuan, Plasma wakefields in the quasi-nonlinear regime, AIP Conf. Proc. 1299, 500 (2010).
  40. R. I. Spitsyn, I. V. Timofeev, A. P. Sosedkin, and K. V. Lotov, Characterization of wavebreaking time and dissipation of weakly nonlinear wakefields due to ion motion, Phys. Plasmas 25, 103103 (2018).
  41. M. Turner, E. Walter, C. Amoedo, N. Torrado, N. Lopes, A. Sublet, M. Bergamaschi, J. Pucek, J. Mezger, N. van Gils, L. Verra, G. Z. D. Porta, J. Farmer, A. Clairembaud, F. Pannell, E. Gschwendtner, P. Muggli, and the AWAKE Collaboration, Experimental observation of motion of ions in a resonantly driven plasma wakefield accelerator, Phys. Rev. Lett. (2025) (to be published).
  42. A. Pukhov, N. Kumar, T. Tückmantel, A. Upadhyay, K. Lotov, P. Muggli, V. Khudik, C. Siemon, and G. Shvets, Phase velocity and particle injection in a self-modulated proton-driven plasma wakefield accelerator, Phys. Rev. Lett. 107, 145003 (2011).
  43. C. B. Schroeder, C. Benedetti, E. Esarey, F. J. Grüner, and W. P. Leemans, Growth and phase velocity of self-modulated beam-driven plasma waves, Phys. Rev. Lett. 107, 145002 (2011).
  44. K. Pepitone, S. Doebert, R. Apsimon, J. Bauche, M. Bernardini, C. Bracco, G. Burt, A. Chauchet, E. Chevallay, N. Chritin, S. Curt, H. Damerau, M. D. Kelisani, C. Delory, V. Fedosseev, F. Friebel, F. Galleazzi, I. Gorgisyan, E. Gschwendtner, J. Hansen, L. Jensen, F. Keeble, L. Maricalva, S. Mazzoni, G. McMonagle, O. Mete, A. Pardons, C. Pasquino, V. Verzilov, J. Schmidt, L. Soby, B. Williamson, E. Yamakawa, S. Pitman, and J. Mitchell, The electron accelerators for the awake experiment at cern-baseline and future developments, Nucl. Instrum. Methods Phys. Res., Sect. A 909, 102 (2018), 3rd European Advanced Accelerator Concepts workshop (EAAC2017).
  45. V. Khudiakov and A. Pukhov, Optimized laser-assisted electron injection into a quasilinear plasma wakefield, Phys. Rev. E 105, 035201 (2022).
  46. T. C. Wilson, J. Farmer, A. Pukhov, Z.-M. Sheng, and B. Hidding, Numerical studies of collinear laser-assisted injection from a foil for plasma wakefield accelerators, Phys. Rev. Accel. Beams 27, 071301 (2024).
  47. D. F. G. Minenna et al., EARLI: design of a laser wakefield accelerator for AWAKE, JACoW IPAC2023, TUPA089 (2023).
  48. A. Petrenko and I. Sheinman, High-Energy Micro-Buncher Based on the mm-Wavelength Dielectric Structure, in Proceedings of the Russian Particle Accelerator Conference (RuPAC'16), St. Petersburg, Russia, November, 2016, Russian Particle Accelerator Conference No. 25 (JACoW, Geneva, Switzerland, 2017), pp. 303–306.
  49. H. Ye, F. Leroi, L. Pontagnier, G. Santarelli, J. Boullet, and E. Cormier, High-power nonlinear amplification of an ultrafast electro-optic frequency comb with flexible GHz repetition rate, Opt. Express 30, 10605 (2022).
  50. R. Yang, J. Wu, H. Yang, H. Fu, L. Yu, X. Xing, Y. Dong, P. Hu, and J. Tan, Accurate and comprehensive spectrum characterization for cavity-enhanced electro-optic comb generators, Nanomaterials 12, 3907 (2022).
  51. G. Andonian, N. Burger, N. Cook, S. Doran, T. Hodgetts, S. Kim, G. Ha, W. Liu, W. Lynn, N. Majernik, J. Power, A. Pronikov, J. Rosenzweig, and E. Wisniewski, Drive bunch train for the dielectric trojan horse experiment at the argonne wakefield accelerator, Instruments 8, 28 (2024).
  52. P. Muggli, V. Yakimenko, M. Babzien, E. K. Kallos, and K. P. Kusche, Generation of trains of electron microbunches with adjustable subpicosecond spacing, Phys. Rev. Lett. 101, 054801 (2008).
  53. M. T. Hibberd, A. L. Healy, D. S. Lake, V. Georgiadis, E. J. H. Smith, O. J. Finlay, T. H. Pacey, J. K. Jones, Y. Saveliev, D. A. Walsh, E. W. Snedden, R. B. Appleby, G. Burt, D. M. Graham, and S. P. Jamison, Acceleration of relativistic beams using laser-generated terahertz pulses, Nat. Photon. 14, 755 (2020).
  54. P. Manwani, N. Majernik, M. Yadav, C. Hansel, and J. B. Rosenzweig, Resonant excitation of very high gradient plasma wakefield accelerators by optical-period bunch trains, Phys. Rev. Accel. Beams 24, 051302 (2021).
  55. www.gauss-centre.eu

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Phys. Rev. Research 7, L012055– Published 5 March, 2025
  • Received 22 April 2024
  • Accepted 17 February 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Open access publication funded by Max Planck Society.

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