Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access

Efficiency versus instability in plasma accelerators

Valeri Lebedev1,*, Alexey Burov1, and Sergei Nagaitsev1,2

  • 1Fermi National Accelerator Laboratory, P.O. Box 500, Batavia, Illinois 60510, USA
  • 2Department of Physics, The University of Chicago, Chicago, Ilinois 60637, USA

  • *val@fnal.gov

Phys. Rev. Accel. Beams 20, 121301 – Published 20 December, 2017Erratum Phys. Rev. Accel. Beams 21, 059901 (2018)

DOI: https://doi.org/10.1103/PhysRevAccelBeams.20.121301

Abstract

Plasma wakefield acceleration is one of the main technologies being developed for future high-energy colliders. Potentially, it can create a cost-effective path to the highest possible energies for e+e− or γ−γ colliders and produce a profound effect on the developments for high-energy physics. Acceleration in a blowout regime, where all plasma electrons are swept away from the axis, is presently considered to be the primary choice for beam acceleration. In this paper, we derive a universal efficiency-instability relation, between the power efficiency and the key instability parameter of the trailing bunch for beam acceleration in the blowout regime. We also show that the suppression of instability in the trailing bunch can be achieved through Balakin-Novokhatsky-Smirnov damping by the introduction of a beam energy variation along the bunch. Unfortunately, in the high-efficiency regime, the required energy variation is quite high and is not presently compatible with collider-quality beams. We would like to stress that the development of the instability imposes a fundamental limitation on the acceleration efficiency, and it is unclear how it could be overcome for high-luminosity linear colliders. With minor modifications, the considered limitation on the power efficiency is applicable to other types of acceleration.

View figure in article

Physics Subject Headings (PhySH)

Erratum

Erratum: Efficiency versus instability in plasma accelerators [Phys. Rev. Accel. Beams 20, 121301 (2017)]

Valeri Lebedev, Alexey Burov, and Sergei Nagaitsev
Phys. Rev. Accel. Beams 21, 059901 (2018)

Article Text

References (24)

  1. C. G. R. Geddes, C. Toth, J. van Tilborg, E. Esarey, C. B. Schroeder, J. Cary, and W. P. Leemans, Guiding of Relativistic Laser Pulses by Preformed Plasma Channels, Phys. Rev. Lett. 95, 145002 (2005).
  2. W. Lu, C. Huang, M. Zhou, W. B. Mori, and T. Katsouleas, Nonlinear Theory for Relativistic Plasma Wakefields in the Blowout Regime, Phys. Rev. Lett. 96, 165002 (2006).
  3. C. G. R. Geddes, K. Nakamura, G. R. Plateau, C. Toth, E. Cormier-Michel, E. Esarey, C. B. Schroeder, J. R. Cary, and W. P. Leemans, Plasma-Density-Gradient Injection of Low Absolute-Momentum-Spread Electron Bunches, Phys. Rev. Lett. 100, 215004 (2008).
  4. K. Németh, B. Shen, Y. Li, H. Shang, R. Crowell, K. C. Harkay, and J. R. Cary, Laser-Driven Coherent Betatron Oscillation in a Laser-Wakefield Cavity, Phys. Rev. Lett. 100, 095002 (2008).
  5. M. Tzoufras, W. Lu, F. S. Tsung, C. Huang, W. B. Mori, T. Katsouleas, J. Vieira, R. A. Fonseca, and L. O. Silva, Beam Loading in the Nonlinear Regime of Plasma-Based Acceleration, Phys. Rev. Lett. 101, 145002 (2008).
  6. C. Rechatin, X. Davoine, A. Lifschitz, A. B. Ismail, J. Lim, E. Lefebvre, J. Faure, and V. Malka, Observation of Beam Loading in a Laser-Plasma Accelerator, Phys. Rev. Lett. 103, 194804 (2009).
  7. C. Rechatin, J. Faure, A. Ben-Ismail, J. Lim, R. Fitour, A. Specka, H. Videau, A. Tafzi, F. Burgy, and V. Malka, Controlling the Phase-Space Volume of Injected Electrons in a Laser-Plasma Accelerator, Phys. Rev. Lett. 102, 164801 (2009).
  8. S. Kalmykov, S. A. Yi, V. Khudik, and G. Shvets, Electron Self-Injection and Trapping into an Evolving Plasma Bubble, Phys. Rev. Lett. 103, 135004 (2009).
  9. R. Gholizadeh, T. Katsouleas, P. Muggli, C. Huang, and W. Mori, Preservation of Beam Emittance in the Presence of Ion Motion in Future High-Energy Plasma-Wakefield-Based Colliders, Phys. Rev. Lett. 104, 155001 (2010).
  10. F. Li et al., Generating High-Brightness Electron Beams via Ionization Injection by Transverse Colliding Lasers in a Plasma-Wakefield Accelerator, Phys. Rev. Lett. 111, 015003 (2013).
  11. E. Adli et al., A beam driven plasma-wakefield linear collider: From Higgs factory to multi-TeV, arXiv:1308.1145.
  12. C. B. Schroeder, E. Esarey, and W. P. Leemans, Beamstrahlung considerations in laser-plasma-accelerator-based linear colliders, Phys. Rev. ST Accel. Beams 15, 051301 (2012).
  13. V. Lebedev, A. Burov, and S. Nagaitsev, in Reviews of Accelerator Science and Technology (World Scientific, Singapore, 2016), Vol. 9; arXiv:1608.02498.
  14. C. Huang et al., Hosing Instability in the Blow-Out Regime for Plasma-Wakefield Acceleration, Phys. Rev. Lett. 99, 255001 (2007).
  15. T.  J. Mehrling, R.  A. Fonseca, A. M. de la Ossa, and J. Vieira, Mitigation of the Hose Instability in Plasma-Wakefield Accelerators, Phys. Rev. Lett. 118, 174801 (2017).
  16. A. V. Fedotov, R. L. Gluckstern, and M. Venturini, Transverse impedance of a periodic array of cavities, Phys. Rev. ST Accel. Beams 2, 064401 (1999).
  17. S. S. Baturin and A. D. Kanareykin, Cherenkov Radiation from Short Relativistic Bunches: General Approach, Phys. Rev. Lett. 113, 214801 (2014).
  18. C. B. Schroeder, D. H. Whittum, and J. S. Wurtele, Multimode Analysis of the Hollow Plasma Channel Wakefield Accelerator, Phys. Rev. Lett. 82, 1177 (1999).
  19. A. Chao, Physics of Collective Beam Instabilities in High Energy Accelerators (Wiley, New York, 1993).
  20. V. Yakimenko et al., in Proceedings of IPAC2016, Busan, Korea, http://accelconf.web.cern.ch/AccelConf/ipac2016/papers/tuobb02.pdf.
  21. V. Balakin, A. Novokhatsky, and V. Smirnov, in Proceedings of the 12th International Conference on High Energy Accelerators (Fermilab, Batavia, IL, 1983), p. 119.
  22. P. Raimondi and A. Seryi, Novel Final Focus Design for Future Linear Colliders, Phys. Rev. Lett. 86, 3779 (2001).
  23. P. Muggli et al., Halo Formation and Emittance Growth of Positron Beams in Plasmas, Phys. Rev. Lett. 101, 055001 (2008).
  24. 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).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation