pith. machine review for the scientific record. sign in

arxiv: 2604.05771 · v1 · submitted 2026-04-07 · ⚛️ physics.acc-ph · physics.optics· physics.plasm-ph

Recognition: 2 theorem links

· Lean Theorem

Electron Acceleration in a Flying-Focus Laser Wakefield Accelerator

Authors on Pith no claims yet

Pith reviewed 2026-05-10 18:41 UTC · model grok-4.3

classification ⚛️ physics.acc-ph physics.opticsphysics.plasm-ph
keywords flying focuslaser wakefield accelerationdephasing mitigationelectron accelerationstructured lightaxiparabolawake velocity
0
0 comments X

The pith

Flying-focus laser pulses allow tuning of wakefield velocity to reach higher electron energies.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

This paper reports experiments that use a flying-focus laser pulse to drive a wakefield accelerator. Sculpting the pulse with spatio-temporal couplings and focusing it through an axiparabola creates a quasi-Bessel beam whose intensity peak travels at a chosen speed. By matching that speed to the electrons, the scheme reduces the distance over which electrons slip ahead of the accelerating field. Data show relativistic electrons whose maximum energy changes with the chosen wake speed. Optical and particle-in-cell simulations confirm that dephasing is partially suppressed.

Core claim

A flying-focus scheme in laser-wakefield acceleration permits control of the wakefield propagation velocity, which in turn raises the maximum energy electrons can reach by partially suppressing dephasing, as shown by direct experiments that accelerate electrons to relativistic energies together with supporting optical and particle-in-cell simulations.

What carries the argument

The flying-focus pulse formed by spatio-temporal couplings and an axiparabola, which produces a tunable-velocity wakefield that keeps electrons in the accelerating phase longer.

If this is right

  • Matching wake velocity to electron velocity extends the acceleration length before dephasing limits energy gain.
  • The same laser facilities can reach higher electron energies without increasing pulse power.
  • Partial dephasing suppression is already observable in current experiments.
  • Further refinement of the focus velocity profile could approach the dephasing-free limit predicted in earlier simulations.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The technique could be combined with plasma density tapering to compound the energy gain.
  • Direct measurement of the wake phase velocity inside the plasma would provide an independent check of the tuning.
  • Scaling the method to petawatt-class lasers offers a concrete path to test multi-GeV electron beams in compact setups.

Load-bearing premise

Observed electron energy changes arise from the designed tuning of wake velocity rather than from uncontrolled differences in laser intensity or plasma density.

What would settle it

If adjusting the flying-focus parameters to a predicted wake velocity produces no corresponding change in the measured electron energy spectrum while other laser and plasma parameters are held fixed, the claim of dephasing mitigation would be falsified.

Figures

Figures reproduced from arXiv: 2604.05771 by Aaron Liberman, Anda-Maria Talposi, Anton Golovanov, Sheroy Tata, Slava Smartsev, Victor Malka.

Figure 1
Figure 1. Figure 1: FIG. 1. Schematic representation of the electron acceleration experiment. A laser pulse (red disk) is focused by the axiparabola [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. (a) Typical 2D near-field profile of the laser. (b) Normalized focal spot intensity over the focal depth, in vacuum. Solid [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. (a) Ansys Fluent simulation of gas density from the nozzle. Dotted white line shows laser height. (b) 1D longitudinal [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. (a) Measured velocity of intensity peak propagation in vacuum along the optical axis for the axiparabola focused [PITH_FULL_IMAGE:figures/full_fig_p006_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5. (a–c) 20 Lanex images each for the [PITH_FULL_IMAGE:figures/full_fig_p007_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6. (a–c) Electron spectra above 225 MeV, averaged over 20 shots, for the [PITH_FULL_IMAGE:figures/full_fig_p008_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: FIG. 7. Simulated wakefield for [PITH_FULL_IMAGE:figures/full_fig_p009_7.png] view at source ↗
read the original abstract

Structured light pulses hold significant promise for their ability to overcome dephasing in laser-wakefield accelerators, that should facilitate applications in high-energy physics and XFEL. Numerical studies have shown that sculpting a pulse into a flying focus and using it to drive a wakefield can achieve dephasing-free acceleration of electrons, with gain in excess of 100\,GeV within reachable with existing laser facilities. This work reports on novel experiments using a flying-focus generated laser-wakefield accelerator to accelerate electrons to relativistic energies. The flying-focus pulse is achieved by sculpting the laser-pulse before focusing using spatio-temporal couplings and generating a quasi-Bessel beam with an axiparabola. This combination allows for the tuning of the propagation velocity of the wakefield, which, we demonstrate, has an impact on the maximum achievable electron energy. Optical and particle-in-cell simulations are used to support the data and to provide direct evidence of the partial mitigation of dephasing through this flying-focus scheme. These results are further elucidated in our companion letter [1].

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 2 minor

Summary. The manuscript reports novel experiments in which a flying-focus laser pulse, generated via spatio-temporal couplings and an axiparabola to produce a quasi-Bessel beam, drives a laser-wakefield accelerator. The authors claim that tuning the wakefield propagation velocity in this scheme measurably increases the maximum electron energy relative to a standard focus, with optical and PIC simulations providing supporting evidence of partial dephasing mitigation. Results are presented as an experimental demonstration backed by simulations and are further detailed in a companion letter.

Significance. If the central experimental claim holds after addressing verification gaps, the work would constitute a valuable first demonstration of flying-focus LWFA in the laboratory, showing that structured-light techniques can influence electron energy gain by altering wake velocity. This aligns with prior numerical predictions of dephasing mitigation and could open pathways to higher energies with existing lasers for applications in high-energy physics and compact light sources. The integration of experiment with simulation is a positive feature, though the current lack of direct in-plasma diagnostics limits the strength of the attribution.

major comments (2)
  1. [Abstract] Abstract and experimental results section: The claim that the flying-focus scheme 'has an impact on the maximum achievable electron energy' and provides 'direct evidence of the partial mitigation of dephasing' is load-bearing for the paper's contribution, yet the provided description contains no quantitative energy spectra, error bars, shot statistics, or control comparisons (e.g., standard focus vs. flying focus under matched plasma conditions). This absence makes it impossible to evaluate the magnitude or statistical significance of the reported effect.
  2. [Experimental setup] Experimental setup: The central assertion that the axiparabola plus spatio-temporal couplings produces a wake propagating at the designed v_f < c (thereby reducing dephasing) rests entirely on pre-shot optical characterization and PIC simulations. No in-situ diagnostic (side-on shadowgraphy, frequency-domain interferometry, or wake-phase velocity measurement) is reported to confirm the realized propagation velocity inside the plasma or to exclude confounding effects from altered on-axis intensity, plasma density profile, or injection dynamics introduced by the focusing optics.
minor comments (2)
  1. [Introduction] The relation between this manuscript and the companion letter [1] should be stated more explicitly in the introduction or conclusions to clarify what new information each contains.
  2. [Figures] Figure captions and text should consistently report the number of shots, plasma density range, and laser parameters used for each data set to allow reproducibility assessment.

Simulated Author's Rebuttal

2 responses · 1 unresolved

We thank the referee for their careful and constructive review of our manuscript. We address each major comment below in a point-by-point manner and indicate where revisions have been made to the manuscript.

read point-by-point responses
  1. Referee: [Abstract] Abstract and experimental results section: The claim that the flying-focus scheme 'has an impact on the maximum achievable electron energy' and provides 'direct evidence of the partial mitigation of dephasing' is load-bearing for the paper's contribution, yet the provided description contains no quantitative energy spectra, error bars, shot statistics, or control comparisons (e.g., standard focus vs. flying focus under matched plasma conditions). This absence makes it impossible to evaluate the magnitude or statistical significance of the reported effect.

    Authors: We agree that the submitted version presented the experimental claims without sufficient quantitative support. In the revised manuscript we have expanded the results section to include representative electron energy spectra for both configurations, error bars based on shot-to-shot variation, the number of shots acquired under each condition, and direct side-by-side comparisons performed under matched plasma density and laser energy. These additions allow the magnitude and statistical significance of the observed energy increase to be evaluated directly from the data. revision: yes

  2. Referee: [Experimental setup] Experimental setup: The central assertion that the axiparabola plus spatio-temporal couplings produces a wake propagating at the designed v_f < c (thereby reducing dephasing) rests entirely on pre-shot optical characterization and PIC simulations. No in-situ diagnostic (side-on shadowgraphy, frequency-domain interferometry, or wake-phase velocity measurement) is reported to confirm the realized propagation velocity inside the plasma or to exclude confounding effects from altered on-axis intensity, plasma density profile, or injection dynamics introduced by the focusing optics.

    Authors: We acknowledge that the absence of in-situ plasma diagnostics limits the directness of the evidence for the designed wake velocity. The experiment relied on pre-shot optical characterization of the spatio-temporal couplings and axiparabola focus together with PIC simulations that incorporate the measured laser pulse. In the revised manuscript we have added further discussion of auxiliary measurements that constrain possible confounding effects on on-axis intensity and plasma density profile, and we have clarified why injection dynamics are expected to be comparable between the two focusing geometries. However, no in-situ wake-velocity diagnostic was fielded during the campaign. revision: partial

standing simulated objections not resolved
  • Direct in-situ confirmation of the wake propagation velocity inside the plasma, which was not measured in the reported experiments.

Circularity Check

0 steps flagged

No significant circularity: experimental demonstration with independent simulation support

full rationale

The paper reports experimental electron acceleration results using a flying-focus scheme generated via spatio-temporal couplings and axiparabola, supported by optical characterization and PIC simulations. No equations, predictions, or central claims reduce by construction to fitted inputs, self-definitions, or self-citation chains. The work is self-contained against external benchmarks (measured electron spectra, pre-shot pulse characterization), with no load-bearing steps that equate outputs to inputs via renaming or ansatz smuggling. Minor reference to companion letter [1] is not used to justify any uniqueness theorem or derivation.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The central claim rests on standard laser-plasma physics without new free parameters or invented entities; the experimental setup assumes established electromagnetic propagation and wakefield formation.

axioms (1)
  • domain assumption Spatio-temporal couplings and axiparabola focusing produce a controllable flying-focus pulse that tunes wakefield propagation velocity in plasma
    Invoked as the basis for the experimental scheme and its effect on dephasing.

pith-pipeline@v0.9.0 · 5502 in / 1392 out tokens · 90889 ms · 2026-05-10T18:41:58.623132+00:00 · methodology

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Lean theorems connected to this paper

Citations machine-checked in the Pith Canon. Every link opens the source theorem in the public Lean library.

What do these tags mean?
matches
The paper's claim is directly supported by a theorem in the formal canon.
supports
The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
extends
The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
uses
The paper appears to rely on the theorem as machinery.
contradicts
The paper's claim conflicts with a theorem or certificate in the canon.
unclear
Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.

Reference graph

Works this paper leans on

58 extracted references

  1. [1]

    First electron acceleration in a tunable-velocity laser wakefield,

    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., pp. –, Mar 2026

  2. [2]

    Laser electron accelera- tor,

    T. Tajima and J. M. Dawson, “Laser electron accelera- tor,”Physical Review Letters, vol. 43, pp. 267–270, July 1979

  3. [3]

    A laser–plasma accelerator producing monoenergetic elec- tron beams,

    J. Faure, Y. Glinec, A. Pukhov, S. Kiselev, S. Gordienko, E. Lefebvre, J.-P. Rousseau, F. Burgy, and V. Malka, “A laser–plasma accelerator producing monoenergetic elec- tron beams,”Nature, vol. 431, pp. 541–544, September 2004

  4. [4]

    High-quality electron beams from a laser wakefield accelerator using plasma-channel guid- ing,

    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 guid- ing,”Nature, vol. 431, pp. 538–541, September 2004

  5. [5]

    Mo- noenergetic beams of relativistic electrons from intense laser–plasma interactions,

    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. Hooker, D. A. Jaroszynski, A. J. Langley, W. B. Mori, P. A. Norreys, F. S. Tsung, R. Viskup, B. R. Walton, and K. Krushelnick, “Mo- noenergetic beams of relativistic electrons from intense laser–plasma interactions,...

  6. [6]

    Matched guiding and controlled injection in dark- current-free, 10-GeV-class, channel-guided laser-plasma accelerators,

    A. Picksley, J. Stackhouse, C. Benedetti, K. Nakamura, H. E. Tsai, R. Li, B. Miao, J. E. Shrock, E. Rockafel- low, 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., vol....

  7. [7]

    Development of a high charge 10 GeV laser electron accelerator,

    E. Rockafellow, B. Miao, J. E. Shrock, A. Sloss, M. S. Le, S. W. Hancock, S. Zahedpour, R. C. Hollinger, S. Wang, J. King, P. Zhang, J. ˇSiˇ sma, G. M. Grittani, R. Versaci, D. F. Gordon, G. J. Williams, B. A. Reagan, J. J. Rocca, and H. M. Milchberg, “Development of a high charge 10 GeV laser electron accelerator,”Physics of Plasmas, vol. 32, p. 053102, 05 2025

  8. [8]

    Radiotherapy with laser-plasma acceler- ators: Monte Carlo simulation of dose deposited by an experimental quasimonoenergetic electron beam,

    Y. Glinec, J. Faure, V. Malka, T. Fuchs, H. Szymanowski, and U. Oelfke, “Radiotherapy with laser-plasma acceler- ators: Monte Carlo simulation of dose deposited by an experimental quasimonoenergetic electron beam,”Medi- cal Physics, vol. 33, pp. 155–162, January 2006

  9. [9]

    Principles and applications of compact laser–plasma accelerators,

    V. Malka, J. Faure, Y. A. Gauduel, E. Lefebvre, A. Rousse, and K. T. Phouc, “Principles and applications of compact laser–plasma accelerators,”Nature Physics, vol. 4, pp. 447–453, June 2008

  10. [10]

    Free-electron lasing at 27 nanometres based on a laser wakefield accelerator,

    W. Wang, K. Feng, L. Ke, C. Yu, Y. Xu, R. Qi, Y. Chen, Z. Qin, Z. Zhang, M. Fang, J. Liu, K. Jiang, C. W. Hao Wang, X. Yang, F. Wu, Y. Leng, J. Liu, R. Li, and Z. Xu, “Free-electron lasing at 27 nanometres based on a laser wakefield accelerator,”Nature, vol. 595, pp. 516– 520, July 2021

  11. [11]

    Seeded free-electron laser driven by a compact laser plasma accelerator,

    M. Labat, J. C. Cabada˘ g, A. Ghaith, A. Irman, A. Berlioux, P. Berteaud, F. Blache, S. Bock, F. Bou- vet, F. Briquez, Y.-Y. Chang, S. Corde, A. De- bus, C. D. Oliveira, J.-P. Duval, Y. Dietrich, M. E. Ajjouri, C. Eisenmann, J. Gautier, R. Gebhardt, S. Grams, U. Helbig, C. Herbeaux, N. Hubert, C. Kitegi, O. Kononenko, M. Kuntzsch, M. LaBerge, S. Lˆ e, B. ...

  12. [12]

    Re- vealing the three-dimensional structure of microbunched plasma-wakefield-accelerated electron beams,

    M. LaBerge, B. Bowers, Y.-Y. Chang, J. C. Cabadag, A. Debus, A. Hannasch, R. Pausch, S. Schobel, J. Tiebel, P. Ufer, A. Willmann, O. Zarini, R. Zgadzaj, A. H. Lump- kin, U. Schramm, A. Irman, and M. C. Downer, “Re- vealing the three-dimensional structure of microbunched plasma-wakefield-accelerated electron beams,”Nature Photonics, vol. 18, pp. 952–959, July 2024

  13. [13]

    All-optical nonlinear compton scattering performed with a multi-petawatt laser,

    M. Mirzaie, C. I. Hojbota, D. Y. Kim, V. B. Pathak, T. G. Pak, C. M. Kim, H. W. Lee, J. W. Yoon, S. K. Lee, Y. J. Rhee, M. Vranic, O. Amaro, K. Y. Kim, J. H. 12 Sung, and C. H. Nam, “All-optical nonlinear compton scattering performed with a multi-petawatt laser,”Na- ture Photonics, vol. 18, pp. 1212–1217, October 2024

  14. [14]

    Technical design report for the LUXE experiment,

    L. Collaboration, “Technical design report for the LUXE experiment,”European Physics Journal Special Topics, vol. 233, pp. 1709–1974, October 2024

  15. [15]

    Ultrahigh gradient parti- cle acceleration by intense laser-driven plasma density waves,

    C. Joshi, W. B. Mori, T. Katsouleas, J. M. Dawson, J. M. Kindel, and D. W. Forslund, “Ultrahigh gradient parti- cle acceleration by intense laser-driven plasma density waves,”Nature, vol. 311, pp. 525–529, October 1984

  16. [16]

    Physics of laser-driven plasma-based electron accelerators,

    E. Esarey, C. B. Schroeder, and W. P. Leemans, “Physics of laser-driven plasma-based electron accelerators,”Re- views of Modern Physics, vol. 81, pp. 1229–1285, August 2009

  17. [17]

    Phase-locked laser-wakefield electron acceleration,

    C. Caizergues, S. Smartsev, V. Malka, and C. Thaury, “Phase-locked laser-wakefield electron acceleration,”Na- ture Photonics, vol. 14, pp. 475–479, August 2020

  18. [18]

    Dephasingless laser wakefield accel- eration,

    J. P. Palastro, J. L. Shaw, D. Ramsey, T. T. Simpson, and D. H. Froula, “Dephasingless laser wakefield accel- eration,”Physical Review Letters, vol. 124, p. 134802, March 2020

  19. [19]

    Path to a single-stage, 100-GeV electron beam via a flying- focus-driven laser-plasma accelerator,

    J. L. Shaw, M. V. Ambat, K. G. Miller, R. Boni, I. A. LaBelle, W. B. Mori, J. J. Pigeon, A. Rigatti, I. A. Set- tle, 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,”Physics of Plas- mas, vol. 32, p. 083107, 08 2025

  20. [20]

    A review of recent progress on laser-plasma ac- celeration at kHz repetition rate,

    J. Faure, D. Gustas, D. Gu´ enot, A. Vernier, F. B¨ ohle, M. Ouill´ e, S. Haessler, R. Lopez-Martens, and A. Lifs- chitz, “A review of recent progress on laser-plasma ac- celeration at kHz repetition rate,”Plasma Physics and Controlled Fusion, vol. 61, p. 014012, nov 2018

  21. [21]

    Wakefield genera- tion and GeV acceleration in tapered plasma channels,

    P. Sprangle, B. Hafizi, J. R. Pe˜ nano, R. F. Hub- bard, A. Ting, C. I. Moore, D. F. Gordon, A. Zigler, D. Kaganovich, and T. M. Antonsen, “Wakefield genera- tion and GeV acceleration in tapered plasma channels,” Physical Review E, vol. 63, p. 056405, Apr 2001

  22. [22]

    Electron rephasing in a laser- wakefield accelerator,

    E. Guillaume, A. D¨ opp, C. Thaury, K. Ta Phuoc, A. Lif- schitz, G. Grittani, J.-P. Goddet, A. Tafzi, S. W. Chou, L. Veisz, and V. Malka, “Electron rephasing in a laser- wakefield accelerator,”Physical Review Letters, vol. 115, p. 155002, Oct 2015

  23. [23]

    Combined plasma lens and rephasing stage for a laser wakefield accelerator,

    C. Gustafsson, E. Lofquist, K. Svendsen, A. Angella, A. Persson, and O. Lundh, “Combined plasma lens and rephasing stage for a laser wakefield accelerator,”Scien- tific Reports, vol. 14, November 2024

  24. [24]

    Laser-driven plasma-wave electron accelerators,

    W. Leemans and E. Esarey, “Laser-driven plasma-wave electron accelerators,”Physics Today, vol. 62, pp. 44–49, 03 2009

  25. [25]

    GeV electron beams from a centimetre-scale accelerator,

    W. P. Leemans, B. Nagler, A. J. Gonsalves, C. Toth, K. Nakamura, C. G. R. Geddes, E. Esarey, C. B. Schroeder, and S. M. Hooker, “GeV electron beams from a centimetre-scale accelerator,”Nature Physics, vol. 2, pp. 696–699, September 2006

  26. [26]

    Petawatt laser guiding and electron beam acceleration to 8 GeV in a laser-heated capillary discharge waveguide,

    A. J. Gonsalves, K. Nakamura, J. Daniels, C. Benedetti, C. Pieronek, T. C. H. de Raadt, S. Steinke, J. H. Bin, S. S. Bulanov, J. van Tilborg, C. G. R. Geddes, C. B. Schroeder, C. T´ oth, E. Esarey, K. Swanson, L. Fan- Chiang, G. Bagdasarov, N. Bobrova, V. Gasilov, G. Korn, P. Sasorov, and W. P. Leemans, “Petawatt laser guiding and electron beam accelerati...

  27. [27]

    Multi-GeV electron bunches from an all-optical laser wakefield accelerator,

    B. Miao, J. E. Shrock, L. Feder, R. C. Hollinger, J. Mor- rison, 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, vol. 12, p. 031038, Sep 2022

  28. [28]

    Controlling the velocity of ultrashort light pulses in vacuum through spatio-temporal couplings,

    A. Sainte-Marie, O. Gobert, and F. Quere, “Controlling the velocity of ultrashort light pulses in vacuum through spatio-temporal couplings,”Optica, vol. 4, pp. 1298– 1304, October 2017

  29. [29]

    Spa- tiotemporal control of laser intensity,

    D. H. Froula, D. Turnbull, A. S. Davies, T. J. Kessler, D. Haberberger, J. P. Palastro, S.-W. Bahk, I. A. Begi- shev, R. Boni, S. Bucht, J. Katz, and J. L. Shaw, “Spa- tiotemporal control of laser intensity,”Nature Photonics, vol. 12, pp. 262–265, May 2018

  30. [30]

    Cir- cumventing the dephasing and depletion limits of laser- wakefield acceleration,

    A. Debus, R. Pausch, A. Huebl, K. Steiniger, R. Widera, T. E. Cowan, U. Schramm, and M. Bussmann, “Cir- cumventing the dephasing and depletion limits of laser- wakefield acceleration,”Physical Review X, vol. 9, p. 031044, Sep 2019

  31. [31]

    Axiparabola: a long-focal-depth, high-resolution mir- ror for broadband high-intensity lasers,

    S. Smartsev, C. Caizergues, K. Oubrerie, J. Gautier, J.-P. Goddet, A. Tafzi, K. T. Phouc, V. Malka, and C. Thaury, “Axiparabola: a long-focal-depth, high-resolution mir- ror for broadband high-intensity lasers,”Optics Letters, vol. 44, pp. 3414–3417, July 2020

  32. [32]

    Axiparabola: a new tool for high-intensity optics,

    K. Oubrerie, I. A. Andriyash, R. Lahaye, S. Smartsev, V. Malka, and C. Thaury, “Axiparabola: a new tool for high-intensity optics,”Journal of Optics, vol. 24, p. 045503, March 2022

  33. [33]

    Programmable-trajectory ultrafast flying focus pulses,

    M. V. Ambat, J. L. Shaw, J. J. Pigeon, K. G. Miller, T. T. Simpson, D. H. Froula, and J. P. Palastro, “Programmable-trajectory ultrafast flying focus pulses,” Optics Express, vol. 31, pp. 31354–31368, September 2023

  34. [34]

    Use of spatiotemporal couplings and an axiparabola to control the velocity of peak intensity,

    A. Liberman, R. Lahaye, S. Smartsev, S. Tata, S. Benra- cassa, A. Golovanov, E. Levine, C. Thaury, and V. Malka, “Use of spatiotemporal couplings and an axiparabola to control the velocity of peak intensity,”Optics Letters, vol. 49, pp. 814–817, Feb 2024

  35. [35]

    Ultrabroad- band flying-focus using an axiparabola-echelon pair,

    J. J. Pigeon, P. Franke, M. L. P. Chong, J. Katz, R. Boni, C. Dorrer, J. P. Palastro, and D. H. Froula, “Ultrabroad- band flying-focus using an axiparabola-echelon pair,”Op- tics Express, vol. 32, pp. 576–585, Jan 2024

  36. [36]

    Propagation of axiparabola-focused laser pulses in uniform plasmas,

    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,”Physics of Plasmas, vol. 29, p. 112301, 11 2022

  37. [37]

    Direct observation of a wake- field generated with structured light,

    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 wake- field generated with structured light,”Nature Communi- cations, vol. 16, December 2025

  38. [38]

    Plasma density transition-based electron injection in laser wake field ac- celeration driven by a flying focus laser,

    P.-F. Geng, M. Chen, X.-Y. An, W.-Y. Liu, X.-Z. Zhu, J.-L. Li, B.-Y. Li, and Z.-M. Sheng, “Plasma density transition-based electron injection in laser wake field ac- celeration driven by a flying focus laser,”Chinese Physics B, vol. 32, p. 044101, apr 2023

  39. [39]

    Influence of nitrogen concentration on laser wakefield acceleration of electrons driven by bessel- gauss laser beam,

    M. Abedi-Varaki, V. Tomkus, V. Girdauskas, and G. Raˇ ciukaitis, “Influence of nitrogen concentration on laser wakefield acceleration of electrons driven by bessel- gauss laser beam,”Applied Physics A, vol. 131, February 2025

  40. [40]

    Exact solutions for the electromagnetic fields of a flying focus,

    D. Ramsey, A. Di Piazza, M. Formanek, P. Franke, D. H. Froula, B. Malaca, W. B. Mori, J. R. Pierce, T. T. Simp- son, J. Vieira, M. Vranic, K. Weichman, and J. P. Palas- 13 tro, “Exact solutions for the electromagnetic fields of a flying focus,”Physical Review A, vol. 107, p. 013513, Jan 2023

  41. [41]

    Dephasingless laser wakefield acceleration in the bubble regime,

    K. G. Miller, J. R. Pierce, M. V. Ambat, J. L. Shaw, K. Weichman, W. B. Mori, D. H. Froula, and J. P. Palas- tro, “Dephasingless laser wakefield acceleration in the bubble regime,”Scientific Reports, vol. 13, p. 21306, De- cember 2023

  42. [42]

    First elec- trons from axiparabola-based LWFA,

    A. Liberman, S. Smartsev, S. Tata, A. Golovanov, S. Benracassa, I. Andriyash, R. Lahaye, E. Y. Levine, E. Kroupp, C. Thaury, and V. Malka, “First elec- trons from axiparabola-based LWFA,”CLEO 2024, vol. ATh3H.1, 2024

  43. [43]

    Probing flying-focus wakefields,

    A. Liberman, A. Golovanov, S. Tata, A.-M. Talposi, and V. Malka, “Probing flying-focus wakefields,”Reports on Progress in Physics, vol. 89, p. 038501, mar 2026

  44. [44]

    Commissioning and first results from the new 2×100 TW laser at the wis,

    E. Kroupp, S. Tata, Y. Wan, D. Levy, S. Smartsev, E. Y. Levine, O. Seemann, M. Adelberg, R. Piliposian, T. Queller, E. Segre, K. T. Phuoc, M. Kozlova, and V. Malka, “Commissioning and first results from the new 2×100 TW laser at the wis,”Matter and Radiation at Extremes, vol. 7, February 2022

  45. [45]

    Compression of amplified chirped optical pulses,

    D. Strickland and G. Mourou, “Compression of amplified chirped optical pulses,”Optics Communications, vol. 55, no. 6, pp. 447–449, 1985

  46. [46]

    Measurement and control of main spatio-temporal couplings in a CPA laser chain,

    A. Kabacinski, K. Oubrerie, J.-P. Goddet, J. Gautier, F. Tissandier, O. Kononenko, A. Tafzi, A. Leblanc, S. Sebban, and C. Thaury, “Measurement and control of main spatio-temporal couplings in a CPA laser chain,” Journal of Optics, vol. 23, p. 06LT01, apr 2021

  47. [47]

    Characterization of spatiotemporal couplings with far-field beamlet cross- correlation,

    S. Smartsev, S. Tata, A. Liberman, M. Adelberg, A. Mo- hanty, E. Levine, O. Seemann, Y. Wan, E. Kroupp, R. La- haye, C. Thaury, and V. Malka, “Characterization of spatiotemporal couplings with far-field beamlet cross- correlation,”Journal of Optics, vol. 24, p. 115503, Oc- tober 2022

  48. [48]

    Axiprop: simple-to-use optical propaga- tion tool,

    I. Andriyash, “Axiprop: simple-to-use optical propaga- tion tool,” 2024

  49. [49]

    LASY: LAser manipula- tions made eaSY,

    M. Th´ evenet, I. A. Andriyash, L. Fedeli, A. F. Pousa, A. Huebl, S. Jalas, M. Kirchen, R. Lehe, R. J. Shal- loo, A. Sinn, and J.-L. Vay, “LASY: LAser manipula- tions made eaSY,”Journal of Physics: Conference Series, vol. 3124, p. 012014, 2025

  50. [50]

    A spectral, quasi-cylindrical and dispersion- free particle-in-cell algorithm,

    R. Lehe, M. Kirchen, I. A. Andriyash, B. B. Godfrey, and J.-L. Vay, “A spectral, quasi-cylindrical and dispersion- free particle-in-cell algorithm,”Computer Physics Com- munications, vol. 203, pp. 66–82, 2016

  51. [51]

    Elimination of numerical cherenkov instabil- ity in flowing-plasma particle-in-cell simulations by using Galilean coordinates,

    R. Lehe, M. Kirchen, B. B. Godfrey, A. R. Maier, and J.-L. Vay, “Elimination of numerical cherenkov instabil- ity in flowing-plasma particle-in-cell simulations by using Galilean coordinates,”Physical Review E, vol. 94, no. 5, p. 053305, 2016

  52. [52]

    Generating multi-GeV electron bunches using single stage laser wake- field acceleration in a 3D nonlinear regime,

    W. Lu, M. Tzoufras, C. Joshi, F. S. Tsung, W. B. Mori, J. Vieira, R. A. Fonseca, and L. O. Silva, “Generating multi-GeV electron bunches using single stage laser wake- field acceleration in a 3D nonlinear regime,”Physical Re- view Special Topics - Accelerators and Beams, vol. 10, p. 061301, Jun 2007

  53. [53]

    Obser- vation of beam loading in a laser-plasma accelerator,

    C. Rechatin, X. Davoine, A. Lifschitz, A. B. Ismail, J. Lim, E. Lefebvre, J. Faure, and V. Malka, “Obser- vation of beam loading in a laser-plasma accelerator,” Phys. Rev. Lett., vol. 103, p. 194804, Nov 2009

  54. [54]

    Simple few-shot method for spectrally resolving the wavefront of an ultrashort laser pulse,

    S. Smartsev, A. Liberman, I. A. Andriyash, A. Cavagna, A. Flacco, C. Giaccaglia, J. Kaur, J. Monzac, S. Tata, A. Vernier, V. Malka, R. Lopez-Martens, and J. Faure, “Simple few-shot method for spectrally resolving the wavefront of an ultrashort laser pulse,”Optics Letters, vol. 49, no. 8, pp. 1900–1903, 2024

  55. [55]

    Single-shot spatiotemporal vector field measurements of petawatt laser pulses,

    S. Howard, J. Esslinger, N. Weiße, J. Schr¨ oder, C. Eberle, R. H. W. Wang, S. Karsch, P. Norreys, and A. D¨ opp, “Single-shot spatiotemporal vector field measurements of petawatt laser pulses,”Nature Photonics, vol. 19, pp. 898–905, June 2025

  56. [56]

    High-aspect-ratio, ultratall sil- ica meta-optics for high-intensity structured light,

    B. Oliveira, P. S. M. Claveria, P. D. R. Araujo, P. Es- trela, I. Gon¸ calves, M. I. S. Nunes, R. Meirinho, M. Fa- jardo, and M. Piccardo, “High-aspect-ratio, ultratall sil- ica meta-optics for high-intensity structured light,”Op- tica, vol. 12, pp. 713–719, May 2025

  57. [57]

    Laser wakefield acceleration of ions with a transverse flying focus,

    Z. Gong, S. Cao, J. P. Palastro, and M. R. Edwards, “Laser wakefield acceleration of ions with a transverse flying focus,”Phys. Rev. Lett., vol. 133, p. 265002, Dec 2024

  58. [58]

    Nonlinear laser driven donut wakefields for positron and electron acceleration,

    J. Vieira and J. T. Mendon¸ ca, “Nonlinear laser driven donut wakefields for positron and electron acceleration,” Physical Review Letters, vol. 112, p. 215001, May 2014