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

Dephasingless laser wakefield acceleration in a plasma waveguide

J. P. Palastro1,*, K. G. Miller1,†, C. D. Arrowsmith1, R. Almeida2, M. R. Edwards3, A. L. Elliott1, A. Kiewel1, A. Konzel1, L. S. Mack1 et al.

D. Ramsey1, D. Singh3, A. G. R. Thomas4, and J. Vieira2

  • *Contact author: jpal@lle.rochester.edu
  • †Contact author: kmill@lle.rochester.edu

Phys. Rev. Research 8, 033364 – Published 25 September, 2026

DOI: https://doi.org/10.1103/69yc-j1qh

Abstract

Laser wakefield accelerators (LWFAs) provide extremely large accelerating gradients for compact electron accelerators and photon sources but are limited by dephasing, where trapped electrons outrun the accelerating phase of the wakefield. Flying-focus pulses can eliminate dephasing by driving a wake at the vacuum speed of light, but these pulses involve trade-offs, such as varying spot size, long duration, or large plasma volume. Here, we show that a spatiotemporally structured laser pulse propagating in a plasma waveguide can drive a wakefield at the vacuum speed of light while maintaining a constant spot size and ultrashort duration. The pulse is formed by superposing plasma-waveguide modes with appropriately selected frequencies. Compared with flying-focus approaches, the waveguide substantially reduces the required plasma volume. Scaling laws and quasi-three-dimensional particle-in-cell simulations show that the single-stage energy gain increases linearly with the number of modes used to construct the pulse, enabling larger energy gains or shorter stages than standard LWFA.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (68)

  1. T. Tajima and J. M. Dawson, Laser electron accelerator, Phys. Rev. Lett. 43, 267 (1979).
  2. J. Faure, Y. Glinec, A. Pukhov, S. Kiselev, S. Gordienko, E. Zavolzsky, J.-P. Rousseau, P. d’Oliveira, and V. Malka, A laser–plasma accelerator producing monoenergetic electron beams, Nature (London) 431, 541 (2004).
  3. C. G. R. Geddes, C. Toth, J. van Tilborg, E. Esarey, C. B. Schroeder, D. Bruhwiler, C. Nieter, J. Cary, and W. P. Leemans, High-quality electron beams from a laser wakefield accelerator using plasma-channel guiding, Nature (London) 431, 538 (2004).
  4. S. P. D. Mangles, C. D. Murphy, Z. Najmudin, A. G. R. Thomas, J. L. Collier, A. E. Dangor, E. J. Divall, P. S. Foster, J. G. Gallacher, C. J. Hooke, D. A. Jaroszynski, A. J. Langley, W. B. Mori, Z. Najmudin, P. A. Norreys, F. S. Tsung, R. Viskup, B. R. Walton, and K. Krushelnick, Monoenergetic beams of relativistic electrons from intense laser–plasma interactions, Nature (London) 431, 535 (2004).
  5. W. Lu, M. Tzoufras, C. Joshi, F. Tsung, W. Mori, J. Vieira, R. Fonseca, and L. Silva, Generating multi-GeV electron bunches using single stage laser wakefield acceleration in a 3D nonlinear regime, Phys. Rev. ST. Accel. Beams 10, 061301 (2007).
  6. E. Esarey, C. B. Schroeder, and W. P. Leemans, Physics of laser-driven plasma-based electron accelerators, Rev. Mod. Phys. 81, 1229 (2009).
  7. B. Miao, J. E. Shrock, L. Feder, R. C. Hollinger, J. Morrison, R. Nedbailo, A. Picksley, H. Song, S. Wang, J. J. Rocca, and H. M. Milchberg, Multi-GeV electron bunches from an all-optical laser wakefield accelerator, Phys. Rev. X 12, 031038 (2022).
  8. A. Picksley, J. Stackhouse, C. Benedetti, K. Nakamura, H. E. Tsai, R. Li, B. Miao, J. E. Shrock, E. Rockafellow, H. M. Milchberg, C. B. Schroeder, J. van Tilborg, E. Esarey, C. G. R. Geddes, and A. J. Gonsalves, Matched guiding and controlled injection in dark-current-free, 10-GeV-class, channel-guided laser-plasma accelerators, Phys. Rev. Lett. 133, 255001 (2024).
  9. S. Steinke, J. van Tilborg, C. Benedetti, C. Geddes, C. Schroeder, J. Daniels, K. Swanson, A. Gonsalves, K. Nakamura, N. Matlis, et al., Multistage coupling of independent laser-plasma accelerators, Nature (London) 530, 190 (2016).
  10. J. Luo, M. Chen, W. Y. Wu, S. M. Weng, Z. M. Sheng, C. B. Schroeder, D. A. Jaroszynski, E. Esarey, W. P. Leemans, W. B. Mori, and J. Zhang, Multistage coupling of laser-wakefield accelerators with curved plasma channels, Phys. Rev. Lett. 120, 154801 (2018).
  11. V. B. Pathak, H. T. Kim, J. Vieira, L. O. Silva, and C. H. Nam, All optical dual stage laser wakefield acceleration driven by two-color laser pulses, Sci. Rep. 8, 11772 (2018).
  12. A. G. R. Thomas and D. Seipt, Modeling chromatic emittance growth in staged plasma wakefield acceleration to 1 TeV using nonlinear transfer matrices, Phys. Rev. Accel. Beams 24, 104602 (2021).
  13. C. Schroeder, F. Albert, C. Benedetti, J. Bromage, D. Bruhwiler, S. Bulanov, E. Campbell, N. Cook, B. Cros, M. Downer, et al., Linear colliders based on laser-plasma accelerators, J. Instrum. 18, T06001 (2023).
  14. P. Sprangle, B. Hafizi, J. R. Peñano, R. F. Hubbard, A. Ting, C. I. Moore, D. F. Gordon, A. Zigler, D. Kaganovich, and T. M. Antonsen, Wakefield generation and GeV acceleration in tapered plasma channels, Phys. Rev. E 63, 056405 (2001).
  15. S. J. Yoon, J. P. Palastro, and H. M. Milchberg, Quasi-phase-matched laser wakefield acceleration, Phys. Rev. Lett. 112, 134803 (2014).
  16. A. Debus, R. Pausch, A. Huebl, K. Steiniger, R. Widera, T. E. Cowan, U. Schramm, and M. Bussmann, Circumventing the dephasing and depletion limits of laser-wakefield acceleration, Phys. Rev. X 9, 031044 (2019).
  17. J. P. Palastro, J. L. Shaw, P. Franke, D. Ramsey, T. T. Simpson, and D. H. Froula, Dephasingless laser wakefield acceleration, Phys. Rev. Lett. 124, 134802 (2020).
  18. C. Caizergues, S. Smartsev, V. Malka, and C. Thaury, Phase-locked laser-wakefield electron acceleration, Nat. Photon. 14, 475 (2020).
  19. J. P. Palastro, B. Malaca, J. Vieira, D. Ramsey, T. T. Simpson, P. Franke, J. L. Shaw, and D. H. Froula, Laser-plasma acceleration beyond wave breaking, Phys. Plasmas 28, 013109 (2021).
  20. K. G. Miller, J. R. Pierce, M. V. Ambat, J. L. Shaw, K. Weichman, W. B. Mori, D. H. Froula, and J. P. Palastro, Dephasingless laser wakefield acceleration in the bubble regime, Sci. Rep. 13, 21306 (2023).
  21. J. R. Pierce, K. G. Miller, F. Li, J. P. Palastro, and W. B. Mori, Laser wakefield acceleration driven by a discrete flying focus, Phys. Rev. Accel. Beams 28, 101303 (2025).
  22. C. D. Arrowsmith, K. G. Miller, M. V. Ambat, S.-W. Bahk, I. A. Begishev, J. Bromage, S. Bucht, N. Dauphin, C. Dorrer, C. Jeon, et al., Dephasingless laser wakefield acceleration of electrons using a flying focus, Nat. Phys. 22, 1513 (2026).
  23. A. Liberman, A. Golovanov, S. Smartsev, A.-M. Talposi, S. Tata, and V. Malka, First electron acceleration in a tunable-velocity laser wakefield, Phys. Rev. Res. 8, L022001 (2026).
  24. A. Sainte-Marie, O. Gobert, and F. Quéré, Controlling the velocity of ultrashort light pulses in vacuum through spatio-temporal couplings, Optica 4, 1298 (2017).
  25. D. H. Froula, D. Turnbull, A. S. Davies, T. J. Kessler, D. Haberberger, J. P. Palastro, S.-W. Bahk, I. A. Begishev, R. Boni, S. Bucht, et al., Spatiotemporal control of laser intensity, Nat. Photon. 12, 262 (2018).
  26. S. W. Jolly, O. Gobert, A. Jeandet, and F. Quéré, Controlling the velocity of a femtosecond laser pulse using refractive lenses, Opt. Express 28, 4888 (2020).
  27. M. Ambat, J. Shaw, J. Pigeon, K. Miller, T. Simpson, D. Froula, and J. P. Palastro, Programmable-trajectory ultrafast flying focus pulses, Opt. Express 31, 31354 (2023).
  28. J. Pigeon, P. Franke, M. Lim Pac Chong, J. Katz, R. Boni, C. Dorrer, J. P. Palastro, and D. Froula, Ultrabroadband flying-focus using an axiparabola-echelon pair, Opt. Express 32, 576 (2024).
  29. D. Li, K. G. Miller, J. R. Pierce, W. B. Mori, A. G. R. Thomas, and J. P. Palastro, Spatiotemporal control of high-intensity laser pulses with a plasma lens, Phys. Rev. Res. 6, 013272 (2024).
  30. M. Piccardo, M. O. Cernaianu, J. P. Palastro, A. Arefiev, C. Thaury, J. Vieira, D. H. Froula, and V. Malka, Trends in relativistic laser–matter interaction: The promises of structured light, Optica 12, 732 (2025).
  31. S. Cao, D. Singh, L. S. Mack, J. P. Palastro, and M. R. Edwards, Flying focus with arbitrary directionality for spatiotemporal control of laser pulses Phys. Rev. Appl. 25, 064060 (2026).
  32. S. Smartsev, C. Caizergues, K. Oubrerie, J. Gautier, J.-P. Goddet, A. Tafzi, K. T. Phuoc, V. Malka, and C. Thaury, Axiparabola: A long-focal-depth, high-resolution mirror for broadband high-intensity lasers, Opt. Lett. 44, 3414 (2019).
  33. P.-F. Geng, M. Chen, X.-Z. Zhu, W.-Y. Liu, Z.-M. Sheng, and J. Zhang, Propagation of axiparabola-focused laser pulses in uniform plasmas, Phys. Plasmas 29, 112301 (2022).
  34. K. Oubrerie, I. A. Andriyash, R. Lahaye, S. Smartsev, V. Malka, and C. Thaury, Axiparabola: A new tool for high-intensity optics, J. Opt. 24, 045503 (2022).
  35. A. Liberman, A. Golovanov, S. Smartsev, S. Tata, I. A. Andriyash, S. Benracassa, E. Y. Levine, Y. Wan, E. Kroupp, and V. Malka, Direct observation of a wakefield generated with structured light, Nat. Commun. 16, 10957 (2025).
  36. J. L. Shaw, M. V. Ambat, K. G. Miller, R. Boni, I. A. LaBelle, W. B. Mori, J. J. Pigeon, A. Rigatti, I. A. Settle, L. S. Mack, J. P. Palastro, and D. H. Froula, Path to a single-stage, 100-GeV electron beam via a flying-focus-driven laser-plasma accelerator, Phys. Plasmas 32, 083107 (2025).
  37. C. G. Durfee and H. M. Milchberg, Light pipe for high intensity laser pulses, Phys. Rev. Lett. 71, 2409 (1993).
  38. Y. Ehrlich, C. Cohen, A. Zigler, J. Krall, P. Sprangle, and E. Esarey, Guiding of high intensity laser pulses in straight and curved plasma channel experiments, Phys. Rev. Lett. 77, 4186 (1996).
  39. T. Ditmire, R. A. Smith, and M. H. R. Hutchinson, Plasma waveguide formation in predissociated clustering gases, Opt. Lett. 23, 322 (1998).
  40. T. R. Clark and H. M. Milchberg, Optical mode structure of the plasma waveguide, Phys. Rev. E 61, 1954 (2000).
  41. V. Kumarappan, K. Y. Kim, and H. M. Milchberg, Guiding of intense laser pulses in plasma waveguides produced from efficient, femtosecond end-pumped heating of clustered gases, Phys. Rev. Lett. 94, 205004 (2005).
  42. 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).
  43. B. D. Layer, A. York, T. M. Antonsen, S. Varma, Y.-H. Chen, and H. M. Milchberg, Ultrahigh-intensity optical slow-wave structure, Phys. Rev. Lett. 99, 035001 (2007).
  44. R. J. Shalloo, C. Arran, L. Corner, J. Holloway, J. Jonnerby, R. Walczak, H. M. Milchberg, and S. M. Hooker, Hydrodynamic optical-field-ionized plasma channels, Phys. Rev. E 97, 053203 (2018).
  45. B. Miao, L. Feder, J. E. Shrock, A. Goffin, and H. M. Milchberg, Optical guiding in meter-scale plasma waveguides, Phys. Rev. Lett. 125, 074801 (2020).
  46. J. P. Palastro, K. G. Miller, M. R. Edwards, A. L. Elliott, L. S. Mack, D. Singh, and A. G. R. Thomas, Arbitrary-velocity laser pulses in plasma waveguides, Phys. Rev. Res. 7, 023249 (2025).
  47. M. Everett, A. Lal, D. Gordon, C. E. Clayton, K. A. Marsh, and C. Joshi, Trapped electron acceleration by a laser-driven relativistic plasma wave, Nature (London) 368, 527 (1994).
  48. A. Pukhov, N. E. Andreev, A. A. Golovanov, I. I. Artemenko, and I. Y. Kostyukov, Laser–plasma wake velocity control by multi-mode beatwave excitation in a channel, Plasma 6, 29 (2023).
  49. G.-Z. Sun, E. Ott, Y. C. Lee, and P. Guzdar, Self-focusing of short intense pulses in plasmas, Phys. Fluids 30, 526 (1987).
  50. W. Zhu, J. P. Palastro, and T. M. Antonsen, Pulsed mid-infrared radiation from spectral broadening in laser wakefield simulations, Phys. Plasmas 20, 073103 (2013).
  51. C. B. Schroeder, E. Esarey, C. G. R. Geddes, C. Benedetti, and W. P. Leemans, Physics considerations for laser-plasma linear colliders, Phys. Rev. ST Accel. Beams 13, 101301 (2010).
  52. D. Cruz-Delgado, S. Yerolatsitis, N. K. Fontaine, D. N. Christodoulides, R. Amezcua-Correa, and M. A. Bandres, Synthesis of ultrafast wavepackets with tailored spatiotemporal properties, Nat. Photon. 16, 686 (2022).
  53. M. Piccardo, M. de Oliveira, V. R. Policht, M. Russo, B. Ardini, M. Corti, G. Valentini, J. Vieira, C. Manzoni, G. Cerullo, and A. Ambrosio, Broadband control of topological–spectral correlations in space–time beams, Nat. Photon. 17, 822 (2023).
  54. Q. Zhan, Spatiotemporal sculpturing of light: A tutorial, Adv. Opt. Photon. 16, 163 (2024).
  55. A. Rainville, M. Whittlesey, C. Pasquale, Y. Jing, M. Chen, S. Chen, H. Pei, J. Ruppe, T. Zhou, Q. Du, Z. Zhang, G. Chang, F. X. Kärtner, and A. Galvanauskas, Near-complete extraction of maximum stored energy from large-core fibers using coherent pulse stacking amplification of femtosecond pulses, Optica 11, 1540 (2024).
  56. M. R. Edwards, V. R. Munirov, A. Singh, N. M. Fasano, E. Kur, N. Lemos, J. M. Mikhailova, J. S. Wurtele, and P. Michel, Holographic plasma lenses, Phys. Rev. Lett. 128, 065003 (2022).
  57. D. H. Froula, C. E. Clayton, T. Döppner, K. A. Marsh, C. P. J. Barty, L. Divol, R. A. Fonseca, S. H. Glenzer, C. Joshi, W. Lu, et al., Measurements of the critical power for self-injection of electrons in a laser wakefield accelerator, Phys. Rev. Lett. 103, 215006 (2009).
  58. A. Pak, K. A. Marsh, S. F. Martins, W. Lu, W. B. Mori, and C. Joshi, Injection and trapping of tunnel-ionized electrons into laser-produced wakes, Phys. Rev. Lett. 104, 025003 (2010).
  59. C. McGuffey, A. G. R. Thomas, W. Schumaker, T. Matsuoka, V. Chvykov, F. J. Dollar, G. Kalintchenko, V. Yanovsky, A. Maksimchuk, K. Krushelnick, V. Y. Bychenkov, I. V. Glazyrin, and A. V. Karpeev, Ionization induced trapping in a laser wakefield accelerator, Phys. Rev. Lett. 104, 025004 (2010).
  60. Y. Wu, J. Hua, Z. Zhou, J. Zhang, S. Liu, B. Peng, Y. Fang, X. Ning, Z. Nie, F. Li, C. Zhang, C.-H. Pai, Y. Du, W. Lu, W. B. Mori, and C. Joshi, High-throughput injection–acceleration of electron bunches from a linear accelerator to a laser wakefield accelerator, Nat. Phys. 17, 801 (2021).
  61. A. Jain, J. Yan, J. R. Pierce, T. T. Simpson, M. Polyanskiy, W. Li, M. Babzien, M. Palmer, M. Downer, R. Samulyak, C. Joshi, W. B. Mori, J. P. Palastro, and N. Vafaei-Najafabadi, Collider-quality electron bunches from an all-optical plasma photoinjector, Phys. Rev. Res. 8, 023213 (2026).
  62. A. J. Gonsalves, K. Nakamura, C. Lin, D. Panasenko, S. Shiraishi, T. Sokollik, C. Benedetti, C. B. Schroeder, C. G. R. Geddes, J. van Tilborg, J. Osterhoff, E. Esarey, C. Toth, and W. P. Leemans, Tunable laser plasma accelerator based on longitudinal density tailoring, Nat. Phys. 7, 862 (2011).
  63. J. Faure, C. Rechatin, A. Norlin, A. Lifschitz, Y. Glinec, and V. Malka, Controlled injection and acceleration of electrons in plasma wakefields by colliding laser pulses, Nature (London) 444, 737 (2006).
  64. S. Hooker, R. Bartolini, S. Mangles, A. Tünnermann, L. Corner, J. Limpert, A. Seryi, and R. Walczak, Multi-pulse laser wakefield acceleration: A new route to efficient, high-repetition-rate plasma accelerators and high flux radiation sources, J. Phys. B: At. Mol. Opt. Phys. 47, 234003 (2014).
  65. 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).
  66. R. A. Fonseca, L. O. Silva, F. S. Tsung, V. K. Decyk, W. Lu, C. Ren, W. B. Mori, S. Deng, S. Lee, T. Katsouleas, and J. C. Adam, OSIRIS: A three-dimensional, fully relativistic particle in cell code for modeling plasma based accelerators, in Lecture Notes in Computer Science (Springer, Berlin, 2002), pp. 342–351.
  67. A. Davidson, A. Tableman, W. An, F. Tsung, W. Lu, J. Vieira, R. Fonseca, L. Silva, and W. Mori, Implementation of a hybrid particle code with a PIC description in r–z and a gridless description in ϕ into OSIRIS, J. Comput. Phys. 281, 1063 (2015).
  68. F. Li, K. G. Miller, X. Xu, F. S. Tsung, V. K. Decyk, W. An, R. A. Fonseca, and W. B. Mori, A new field solver for modeling of relativistic particle-laser interactions using the particle-in-cell algorithm, Comput. Phys. Commun. 258, 107580 (2021).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation