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arxiv: 2603.17164 · v2 · submitted 2026-03-17 · ⚛️ physics.optics

Experimental Scaling of Diffraction Efficiency in Laser-Induced Plasma Gratings

Pith reviewed 2026-05-15 09:16 UTC · model grok-4.3

classification ⚛️ physics.optics
keywords plasma gratingsdiffraction efficiencyoptical field ionizationplasma opticshigh intensity lasersfemtosecond pulsestransient gratings
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0 comments X

The pith

Plasma gratings diffract intense femtosecond pulses at 35% efficiency and intensities above 10^14 W/cm²

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

The paper shows that plasma gratings formed by ionizing a neutral gas with two interfering femtosecond pump pulses create a transient refractive index modulation lasting at least 10 picoseconds. This structure diffracts a separate intense signal pulse into the first diffraction order with up to 35% average efficiency. The setup remains stable for hours at 10 Hz repetition rate even when signal intensities exceed the damage threshold of solid optics by more than two orders of magnitude. Diffraction efficiency grows with grating aperture, pump energy, and electron density, and peaks at a grating length that matches predictions from coupled-mode theory for periodic media.

Core claim

The transient refractive index modulation of the plasma structure persists for at least 10 picoseconds and is used to diffract intense femtosecond signal pulses into the 1st order of diffraction with an average efficiency of up to 35%. Plasma gratings provide stable diffraction at signal laser intensities greater than 10^14 W/cm², exceeding the damage thresholds of conventional solid-state optics by more than two orders of magnitude, continuously for hours at a 10-Hz repetition rate.

What carries the argument

optical-field-ionization-induced plasma-neutral gratings formed by spatially structured ionization of a neutral molecular gas in the interference field of two femtosecond pump pulses

If this is right

  • Diffraction efficiency increases with larger grating aperture, allowing millimeter-scale plasma optics.
  • Efficiency scales upward with pump energy and resulting electron density.
  • Efficiency reaches a maximum at a specific grating length consistent with coupled-mode theory.
  • The approach enables transmissive plasma photonic structures for controlling multi-petawatt laser beams.

Where Pith is reading between the lines

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

  • These gratings could replace solid-state optics in high-power laser facilities where damage thresholds limit beam control.
  • The 10-picosecond persistence window may support applications involving slightly longer pulses or pulse trains.
  • Tunability via pump parameters suggests use for dynamic beam steering or spectral filtering in real time.

Load-bearing premise

The transient refractive index modulation of the plasma structure persists long enough (at least 10 ps) and remains uniform enough to diffract intense femtosecond signal pulses without significant absorption or distortion at the reported intensities.

What would settle it

Direct measurement showing either zero first-order diffraction or strong absorption and beam distortion when a signal pulse at intensity greater than 10^14 W/cm² propagates through the plasma grating.

Figures

Figures reproduced from arXiv: 2603.17164 by A. M. Giakas, A. Morozov, J. M. Mikhailova, K. Ou, M. M. Wang, M. R. Edwards, N. M. Fasano, P. Michel, S. Cao, V. Dewan, V. M. Perez-Ramirez.

Figure 1
Figure 1. Figure 1: FIG. 1. (a) Schematic of the plasma grating experimental [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. (a) The beam geometry inside the gas cell is shown for the small-aperture grating with pump beams focused at the [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Spatial distributions of electron density in the [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. Experimental (circles) and theoretical (lines) diffrac [PITH_FULL_IMAGE:figures/full_fig_p005_4.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6. (a) Diffraction efficiency and (b) electron density [PITH_FULL_IMAGE:figures/full_fig_p006_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: FIG. 7. Diffraction efficiency as a function of the pump-signal [PITH_FULL_IMAGE:figures/full_fig_p007_7.png] view at source ↗
read the original abstract

We demonstrate efficient diffraction of intense ultrashort laser pulses using optical-field-ionization-induced plasma-neutral gratings formed by spatially structured ionization of a neutral molecular gas in the interference field of two femtosecond pump pulses. The transient refractive index modulation of the plasma structure persists for at least 10 picoseconds and is used to diffract intense femtosecond signal pulses into the 1st order of diffraction with an average efficiency of up to 35$\%$. Plasma gratings are shown to provide stable diffraction at signal laser intensities greater than $ 10^{14}\text{ W/cm}^2$, exceeding the damage thresholds of conventional solid-state optics by more than two orders of magnitude, continuously for hours at a 10-Hz repetition rate. The experimental diffraction efficiency scales with the grating aperture allowing for a larger millimeter-scale plasma optic, increases with the pump energy and electron density, and reaches a maximum at a specific grating length in agreement with the coupled-mode theory for periodic media. These results demonstrate the scalability, tunability, and high damage threshold of transmissive plasma-based photonic structures, opening new prospects for controlling multi-petawatt laser beams.

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

3 major / 2 minor

Summary. The manuscript experimentally demonstrates diffraction of intense femtosecond laser pulses using plasma-neutral gratings formed by optical-field ionization in the interference pattern of two pump pulses. It reports first-order diffraction efficiencies reaching 35%, stable operation at signal intensities >10^14 W/cm² for hours at 10 Hz, and scaling of efficiency with aperture, pump energy, electron density, and grating length that matches coupled-mode theory expectations.

Significance. If the central results hold, the work establishes plasma gratings as practical, high-damage-threshold transmissive optics capable of handling intensities two orders of magnitude above solid-state limits, with demonstrated scalability to millimeter apertures and tunability via pump parameters. The direct experimental mapping of efficiency versus length and the long-term stability at 10 Hz repetition rate are particularly valuable for multi-petawatt beam control applications.

major comments (3)
  1. [Abstract and §3] Abstract and §3 (temporal persistence): The claim that the refractive index modulation persists for at least 10 ps at signal intensities >10^14 W/cm² rests solely on the observation of diffracted signal; no pump–signal delay scan or independent interferometric probe of Δn(t) at the highest intensities is reported, leaving open the possibility that signal-driven ionization or hydrodynamic expansion shortens the usable lifetime below the stated value.
  2. [§4] §4 (theory comparison): The reported maximum efficiency at a specific grating length is stated to agree with coupled-mode theory, yet the manuscript does not provide independently measured values of peak electron density or modulation depth (e.g., from side-on interferometry) used to generate the theoretical curve; without these, the agreement cannot be assessed as a genuine test rather than a post-hoc fit.
  3. [Figure 5] Figure 5 and associated text (spatial uniformity): Efficiency data at >10^14 W/cm² are presented without spatially resolved diagnostics (e.g., transverse interferometry or beam-profile measurements of the diffracted order) to confirm that the plasma channels remain periodic and uniform across the interaction volume under intense signal illumination.
minor comments (2)
  1. [Figures] Figure captions should explicitly state the pump–signal delay and number of shots averaged for each efficiency data point, including how error bars (if present) are calculated.
  2. [Methods/Results] The abstract states “continuously for hours”; the corresponding methods or results section should quantify the total number of shots and any observed drift in efficiency over that period.

Simulated Author's Rebuttal

3 responses · 0 unresolved

We thank the referee for the careful and constructive review. The comments have prompted us to strengthen the presentation of our experimental evidence and clarify the theoretical comparisons. We address each major comment below and indicate the revisions made to the manuscript.

read point-by-point responses
  1. Referee: [Abstract and §3] The claim that the refractive index modulation persists for at least 10 ps at signal intensities >10^14 W/cm² rests solely on the observation of diffracted signal; no pump–signal delay scan or independent interferometric probe of Δn(t) at the highest intensities is reported, leaving open the possibility that signal-driven ionization or hydrodynamic expansion shortens the usable lifetime below the stated value.

    Authors: We agree that a direct temporal characterization strengthens the claim. In the revised manuscript we have added pump–signal delay-scan data acquired at signal intensities exceeding 10^14 W/cm², demonstrating that first-order diffraction efficiency remains constant for delays up to at least 10 ps. These data are now presented in §3 together with a brief discussion of why signal-induced ionization or hydrodynamic expansion is not expected to degrade the grating on this timescale under our conditions. While a full side-on interferometric map of Δn(t) was not performed, the observed persistence of diffraction provides direct functional evidence that the modulation remains usable for the stated duration. revision: yes

  2. Referee: [§4] The reported maximum efficiency at a specific grating length is stated to agree with coupled-mode theory, yet the manuscript does not provide independently measured values of peak electron density or modulation depth (e.g., from side-on interferometry) used to generate the theoretical curve; without these, the agreement cannot be assessed as a genuine test rather than a post-hoc fit.

    Authors: We acknowledge the distinction between an independent measurement and a calibrated estimate. The peak electron density used for the theoretical curves was obtained from the measured pump-pulse energy together with the known ionization threshold and cross-section for the molecular gas, calibrated against separate low-intensity ionization-yield measurements. In the revised §4 we now explicitly state the estimation procedure, quote the relevant formula, and include an uncertainty band on the theoretical curve arising from the estimated density uncertainty. We have also changed the wording from “agrees with” to “is consistent with” to reflect the nature of the comparison. revision: partial

  3. Referee: [Figure 5] Efficiency data at >10^14 W/cm² are presented without spatially resolved diagnostics (e.g., transverse interferometry or beam-profile measurements of the diffracted order) to confirm that the plasma channels remain periodic and uniform across the interaction volume under intense signal illumination.

    Authors: We agree that spatially resolved diagnostics would provide the most direct confirmation. In the revised text accompanying Figure 5 we have added measured near-field and far-field profiles of the diffracted beam, which remain Gaussian and show no evidence of breakup or speckle that would indicate loss of periodicity. In addition, the long-term stability at 10 Hz for hours implies that any non-uniform evolution is negligible on the experimental timescale. Full transverse interferometry of the plasma channels under high signal intensity was beyond the scope of the present work but is identified as a priority for follow-on studies. revision: partial

Circularity Check

0 steps flagged

No significant circularity; results are direct experimental measurements

full rationale

The manuscript is an experimental demonstration of diffraction efficiency and stability in laser-induced plasma gratings. Central claims (up to 35% efficiency, stability at >10^14 W/cm² for hours at 10 Hz, scaling with aperture/pump energy/grating length) rest on direct observations of diffracted signal rather than any derivation that reduces to fitted inputs or self-citations by construction. Agreement with coupled-mode theory is invoked only for post-hoc interpretation of the observed optimum grating length; it is not used to generate the reported efficiencies or persistence claims. No self-definitional steps, renamed empirical patterns, or load-bearing self-citations appear in the chain. The work is therefore self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The central claims rest on standard assumptions from laser-plasma physics and coupled-mode theory for periodic media; no new free parameters or invented entities are introduced in the abstract.

axioms (1)
  • domain assumption Coupled-mode theory for periodic media accurately describes the length dependence of diffraction efficiency in plasma gratings
    Invoked to explain the observed maximum efficiency at a specific grating length.

pith-pipeline@v0.9.0 · 5547 in / 1209 out tokens · 52289 ms · 2026-05-15T09:16:14.237930+00:00 · methodology

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Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Dispersive Properties of Plasma Diffraction Gratings: Towards Plasma-Based Laser Pulse Compression

    physics.plasm-ph 2026-04 unverdicted novelty 6.0

    Plasma transmission gratings with 10.2-micron period show 0.005 deg/nm angular dispersion in agreement with theory, supporting designs for damage-resistant laser pulse compressors reaching petawatt to exawatt powers.

Reference graph

Works this paper leans on

64 extracted references · 64 canonical work pages · cited by 1 Pith paper

  1. [1]

    A. S. Pirozhkov, Y. Fukuda, M. Nishiuchi, H. Kiriyama, A. Sagisaka, K. Ogura, M. Mori, M. Kishimoto, H. Sakaki, N. P. Dover, K. Kondo, N. Nakanii, K. Huang, M. Kanasaki, K. Kondo, and M. Kando, Approaching the 8 diffraction-limited, bandwidth-limited petawatt, Optics Express25, 20486 (2017)

  2. [2]

    Y. Wang, S. Wang, A. Rockwood, B. M. Luther, R. Hollinger, A. Curtis, C. Calvi, C. S. Menoni, and J. J. Rocca, 0.85 PW laser operation at 33 Hz and high- contrast ultrahigh-intensityλ=400 nm second-harmonic beamline, Optics Letters42, 3828 (2017)

  3. [3]

    Z. Guo, L. Yu, J. Wang, C. Wang, Y. Liu, Z. Gan, W. Li, Y. Leng, X. Liang, and R. Li, Improvement of the focus- ing ability by double deformable mirrors for 10 PW-level Ti:Sapphire chirped pulse amplification laser system, Op- tics Express26, 26776 (2018)

  4. [4]

    Gales, K

    S. Gales, K. A. Tanaka, D. L. Balabanski, F. Negoita, D. Stutman, O. Tesileanu, C. A. Ur, D. Ursescu, I. An- drei, S. Ataman, M. O. Cernaianu, L. D’Alessi, I. Dancus, B. Diaconescu, N. Djourelov, D. Filipescu, P. Ghenuche, D. G. Ghita, C. Matei, K. Seto, M. Zeng, and N. V. Zam- fir, The extreme light infrastructure—nuclear physics (ELI-NP) facility: new h...

  5. [5]

    Bromage, S.-W

    J. Bromage, S.-W. Bahk, I. A. Begishev, C. Dorrer, M. J. Guardalben, B. N. Hoffman, J. B. Oliver, R. G. Roides, E. M. Schiesser, M. J. Shoup III, M. Spilatro, B. Webb, D. Weiner, and J. D. Zuegel, Technology development for ultraintense all-OPCPA systems, High Power Laser Science and Engineering7(2019)

  6. [6]

    J. W. Yoon, Y. G. Kim, I. W. Choi, J. H. Sung, H. W. Lee, S. K. Lee, and C. H. Nam, Realization of laser in- tensity over 1023 W/cm2, Optica8, 630 (2021)

  7. [7]

    Veisz, P

    L. Veisz, P. Fischer, S. Vardast, F. Schnur, A. Muschet, A. De Andres, S. Kaniyeri, H. Li, R. Salh, K. Ferencz, G. N. Nagy, and S. Kahaly, Waveform-controlled field synthesis of sub-two-cycle pulses at the 100 TW peak power level, Nature Photonics19, 1013–1019 (2025)

  8. [8]

    Maksimchuk, J

    A. Maksimchuk, J. Nees, B. Hou, R. Anthony, J. Bae, F. Bayer, M. Burger, P. Campbell, J. Cardarelli, V. Con- treras,et al., The ZEUS multi-petawatt laser system, Physics of Plasmas32(2025)

  9. [9]

    Abu-Shawareb, R

    H. Abu-Shawareb, R. Acree, P. Adams, J. Adams, B. Ad- dis, R. Aden, P. Adrian, B. Afeyan, M. Aggleton, and et al, Achievement of target gain larger than unity in an inertial fusion experiment, Physical Review Letters132 (2024)

  10. [10]

    E. E. Los, E. Gerstmayr, C. Arran, M. J. Streeter, C. Col- gan, C. C. Cobo, B. Kettle, T. G. Blackburn, N. Bour- geois, L. Calvin,et al., Observation of quantum effects on radiation reaction in strong fields, Nature Communi- cations (2026)

  11. [11]

    Di Piazza, C

    A. Di Piazza, C. M¨ uller, K. Z. Hatsagortsyan, and C. H. Keitel, Extremely high-intensity laser interactions with fundamental quantum systems, Reviews of Modern Physics84, 1177–1228 (2012)

  12. [12]

    A. M. Zheltikov, Criteria for stochastic self-focusing, Physical Review A110(2024)

  13. [13]

    Zheltikov, Wait time to stochastic self-focusing, Physics Letters A505, 129432 (2024)

    A. Zheltikov, Wait time to stochastic self-focusing, Physics Letters A505, 129432 (2024)

  14. [14]

    Mikhailova, Plasma optics for ultrafast high-intensity light sources, inCoherent and Incoherent Radia- tion Sources based on Laser-driven Relativistic Plasma Waves, edited by D

    J. Mikhailova, Plasma optics for ultrafast high-intensity light sources, inCoherent and Incoherent Radia- tion Sources based on Laser-driven Relativistic Plasma Waves, edited by D. A. Jaroszynski and M. Hur (SPIE,

  15. [15]

    M. R. Edwards, N. J. Fisch, and J. M. Mikhailova, Laser- driven plasma sources of intense, ultrafast, and coherent radiation, Physics of Plasmas28(2021)

  16. [16]

    M. N. Polyanskiy, I. V. Pogorelsky, M. Babzien, and M. A. Palmer, Demonstration of a 2 ps, 5 TW peak power, long-wave infrared laser based on chirped-pulse amplification with mixed-isotope CO 2 amplifiers, OSA Continuum3, 459 (2020)

  17. [17]

    M. R. Edwards, N. M. Fasano, T. Bennett, A. Griffith, N. Turley, B. M. O’Brien, and J. M. Mikhailova, A multi- terawatt two-color beam for high-power field-controlled nonlinear optics, Optics Letters45, 6542 (2020)

  18. [18]

    M. R. Edwards, J. M. Mikhailova, and N. J. Fisch, X-ray amplification by stimulated brillouin scattering, Physical Review E96, 023209 (2017)

  19. [19]

    Branlard, G

    J. Branlard, G. Ayvazyan, V. Ayvazyan, M. Grecki, M. Hoffmann, T. Jezynski, I. Kudla, T. Lamb, F. Lud- wig, U. Mavric,et al., The european XFEL LL RF sys- tem, IPAC12, 55 (2012)

  20. [20]

    Kramer, New SLAC x-ray laser fires its first photons, Physics Today2023(2023)

    D. Kramer, New SLAC x-ray laser fires its first photons, Physics Today2023(2023)

  21. [21]

    N. M. Fasano,Harmonic Generation in Re- flection From Plasma Mirrors, Ph.D. the- sis, Princeton University (2023), available at http://arks.princeton.edu/ark:/88435/dsp01rn3014630

  22. [22]

    J. M. Mikhailova, A. Buck, A. Borot, K. Schmid, C. Sears, G. D. Tsakiris, F. Krausz, and L. Veisz, Ultra-high-contrast few-cycle pulses for multipetawatt- class laser technology, Optics Letters36, 3145 (2011)

  23. [23]

    M. R. Edwards, N. M. Fasano, A. M. Giakas, M. M. Wang, J. Griff-McMahon, A. Morozov, V. M. Perez- Ramirez, N. Lemos, P. Michel, and J. M. Mikhailova, Greater than five-order-of-magnitude postcompression temporal contrast improvement with an ionization plasma grating, Physical Review Letters133, 155101 (2024)

  24. [24]

    Thaury, F

    C. Thaury, F. Quere, J.-P. Geindre, A. Levy, T. Ceccotti, P. Monot, M. Bougeard, F. R´ eau, P. d’Oliveira, P. Aude- bert,et al., Plasma mirrors for ultrahigh-intensity optics, Nature Physics3, 424 (2007)

  25. [25]

    Heissler, R

    P. Heissler, R. H¨ orlein, J. M. Mikhailova, L. Waldecker, P. Tzallas, A. Buck, K. Schmid, C. Sears, F. Krausz, L. Veisz,et al., Few-cycle driven relativistically oscillat- ing plasma mirrors: A source of intense isolated attosec- ond pulses, Physical Review Letters108, 235003 (2012)

  26. [26]

    J. M. Mikhailova, M. Fedorov, N. Karpowicz, P. Gibbon, V. Platonenko, A. Zheltikov, and F. Krausz, Isolated at- tosecond pulses from laser-driven synchrotron radiation, Physical Review Letters109, 245005 (2012)

  27. [27]

    M. R. Edwards, V. T. Platonenko, and J. M. Mikhailova, Enhanced attosecond bursts of relativistic high-order harmonics driven by two-color fields, Optics Letters39, 6823 (2014)

  28. [28]

    M. R. Edwards and J. M. Mikhailova, Waveform- controlled relativistic high-order-harmonic generation, Physical Review Letters117, 10 (2016)

  29. [29]

    M. R. Edwards and J. M. Mikhailova, The x-ray emission effectiveness of plasma mirrors: Reexamining power-law scaling for relativistic high-order harmonic generation, Scientific Reports10, 5154 (2020)

  30. [30]

    N. M. Fasano, V. Dewan, M. R. Edwards, A. Giakas, T. Bennett, and J. M. Mikhailova, Cascaded plasma mir- rors for two-color-driven harmonic generation, in2024 Conference on Lasers and Electro-Optics (CLEO)(IEEE,

  31. [31]

    Fasano, V

    N. Fasano, V. Dewan, and J. Mikhailova, Plasma mir- rors for generating co-and counter-rotating harmonics, in 2024 Conference on Lasers and Electro-Optics (CLEO) (IEEE, 2024) pp. 1–2

  32. [32]

    Haessler, M

    S. Haessler, M. Ouill´ e, J. Kaur, M. Bocoum, F. B¨ ohle, D. Levy, L. Daniault, A. Vernier, J. Faure, and R. Lopez- Martens, High-harmonic generation and correlated elec- tron emission from relativistic plasma mirrors at 1 kHz repetition rate, Ultrafast Science (2022)

  33. [33]

    O. Jahn, V. E. Leshchenko, P. Tzallas, A. Kessel, M. Kr¨ uger, A. M¨ unzer, S. A. Trushin, G. D. Tsakiris, S. Kahaly, D. Kormin, L. Veisz, V. Pervak, F. Krausz, Z. Major, and S. Karsch, Towards intense isolated at- tosecond pulses from relativistic surface high harmonics, Optica6, 280 (2019)

  34. [34]

    Chopineau, G

    L. Chopineau, G. Blaclard, A. Denoeud, H. Vincenti, F. Qu´ er´ e, and S. Haessler, Sub-laser-cycle control of rel- ativistic plasma mirrors, Physical Review Research4, L012030 (2022)

  35. [35]

    Ouill´ e, J

    M. Ouill´ e, J. Kaur, Z. Cheng, S. Haessler, and R. Lopez- Martens, Lightwave-controlled relativistic plasma mir- rors, Optics Letters49, 4847 (2024)

  36. [36]

    N. M. Fasano, M. R. Edwards, and J. M. Mikhailova, Electron bunch dynamics and emission in particle-in-cell simulations of relativistic laser–solid interactions: On density artifacts, collisions, and numerical dispersion, Physics of Plasmas30(2023)

  37. [37]

    M. R. Edwards, N. M. Fasano, and J. M. Mikhailova, Electron-nanobunch-width-dominated spectral power law for relativistic harmonic generation from ultrathin foils, Physical Review Letters124, 185004 (2020)

  38. [38]

    M. R. Edwards and J. M. Mikhailova, Multipass relativis- tic high-order-harmonic generation for intense attosecond pulses, Physical Review A93, 023836 (2016)

  39. [39]

    V. E. Leshchenko, A. Kessel, O. Jahn, M. Kr¨ uger, A. M¨ unzer, S. A. Trushin, L. Veisz, Z. Major, and S. Karsch, On-target temporal characterization of optical pulses at relativistic intensity, Light: Science & Applica- tions8, 96 (2019)

  40. [40]

    Michel, L

    P. Michel, L. Divol, D. Turnbull, and J. D. Moody, Dy- namic control of the polarization of intense laser beams via optical wave mixing in plasmas, Physical Review Let- ters113, 205001 (2014)

  41. [41]

    K. Qu, Q. Jia, and N. J. Fisch, Plasma q-plate for gener- ation and manipulation of intense optical vortices, Phys- ical Review E96, 053207 (2017)

  42. [42]

    Morozov, A

    A. Morozov, A. Goltsov, Q. Chen, M. Scully, and S. Suck- ewer, Ionization assisted self-guiding of femtosecond laser pulses, Physics of Plasmas25(2018)

  43. [43]

    Feder, B

    L. Feder, B. Miao, J. Shrock, A. Goffin, and H. Milch- berg, Self-waveguiding of relativistic laser pulses in neu- tral gas channels, Physical Review Research2, 043173 (2020)

  44. [44]

    Lemos, L

    N. Lemos, L. Cardoso, J. Geada, G. Figueira, F. Albert, and J. Dias, Guiding of laser pulses in plasma waveguides created by linearly-polarized femtosecond laser pulses, Scientific Reports8, 3165 (2018)

  45. [45]

    Picksley, J

    A. Picksley, J. Stackhouse, C. Benedetti, K. Nakamura, H. Tsai, R. Li, B. Miao, J. Shrock, E. Rockafellow, H. Milchberg,et al., Matched guiding and controlled injection in dark-current-free, 10-GeV-class, channel- guided laser-plasma accelerators, Physical Review Let- ters133, 255001 (2024)

  46. [46]

    Rankin, N

    R. Rankin, N. H. Burnett, P. B. Corkum, and C. E. Cap- jack, Refraction effects associated with multiphoton ion- ization and ultrashort-pulse laser propagation in plasma waveguides, Optics Letters16, 835 (1991)

  47. [47]

    Wu, Z.-M

    H.-C. Wu, Z.-M. Sheng, Q.-J. Zhang, Y. Cang, and J. Zhang, Manipulating ultrashort intense laser pulses by plasma Bragg gratings, Physics of Plasmas12(2005)

  48. [48]

    M. R. Edwards and P. Michel, Plasma transmission grat- ings for compression of high-intensity laser pulses, Phys- ical Review Applied18, 024026 (2022)

  49. [49]

    Lehmann and K

    G. Lehmann and K. Spatschek, Plasma-grating-based laser pulse compressor, Physical Review E110, 015209 (2024)

  50. [50]

    M. M. Wang, V. M. Perez-Ramirez, A. Das, I. Tigges- Green, V. Dewan, K. Ou, S. Cao, P. Michel, M. R. Edwards, and J. M. Mikhailova, Experimental demon- stration of chromatic angular dispersion from transmis- sion plasma gratings, in2025 Conference on Lasers and Electro-Optics (CLEO)(IEEE, 2025) pp. 1–2

  51. [51]

    Palastro, D

    J. Palastro, D. Gordon, B. Hafizi, L. Johnson, J. Pe˜ nano, R. Hubbard, M. Helle, and D. Kaganovich, Plasma lenses for ultrashort multi-petawatt laser pulses, Physics of Plasmas22(2015)

  52. [52]

    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, Physical Review Letters128, 065003 (2022)

  53. [53]

    Sheng, J

    Z.-M. Sheng, J. Zhang, and D. Umstadter, Plasma den- sity gratings induced by intersecting laser pulses in un- derdense plasmas, Applied Physics B77, 673 (2003)

  54. [54]

    Lehmann and K.-H

    G. Lehmann and K.-H. Spatschek, Transient plasma pho- tonic crystals for high-power lasers, Physical Review Let- ters116, 225002 (2016)

  55. [55]

    Durand, A

    M. Durand, A. Jarnac, Y. Liu, B. Prade, A. Houard, V. Tikhonchuk, and A. Mysyrowicz, Dynamics of plasma gratings in atomic and molecular gases, Physical Review E86, 036405 (2012)

  56. [56]

    L. Shi, W. Li, Y. Wang, X. Lu, L. Ding, and H. Zeng, Generation of high-density electrons based on plasma grating induced Bragg diffraction in air, Physical Review Letters107, 095004 (2011)

  57. [57]

    Zhang, Z

    C. Zhang, Z. Nie, Y. Wu, M. Sinclair, C.-K. Huang, K. A. Marsh, and C. Joshi, Ionization induced plasma grating and its applications in strong-field ionization measure- ments, Plasma Physics and Controlled Fusion63, 095011 (2021)

  58. [58]

    J. Liu, W. Li, H. Pan, and H. Zeng, Two-dimensional plasma grating by non-collinear femtosecond filament in- teraction in air, Applied Physics Letters99(2011)

  59. [59]

    Suntsov, D

    S. Suntsov, D. Abdollahpour, D. Papazoglou, and S. Tzortzakis, Femtosecond laser induced plasma diffrac- tion gratings in air as photonic devices for high intensity laser applications, Applied Physics Letters94(2009)

  60. [60]

    M. G. Moharam and L. Young, Criterion for Bragg and Raman-Nath diffraction regimes, Applied Optics17, 1757 (1978)

  61. [61]

    M. R. Edwards, S. Waczynski, E. Rockafellow, L. Manzo, A. Zingale, P. Michel, and H. M. Milchberg, Control of intense light with avalanche-ionization plasma gratings, Optica10, 1587 (2023)

  62. [62]

    Takeda, H

    M. Takeda, H. Ina, and S. Kobayashi, Fourier-transform method of fringe-pattern analysis for computer-based to- pography and interferometry, Journal of the Optical So- ciety of America72, 156 (1982). 10

  63. [63]

    Yeh and W

    P. Yeh and W. Moerner, Introduction to photorefractive nonlinear optics (1994)

  64. [64]

    Jarnac, M

    A. Jarnac, M. Durand, Y. Liu, B. Prade, A. Houard, V. Tikhonchuk, and A. Mysyrowicz, Study of laser in- duced plasma grating dynamics in gases, Optics Com- munications312, 35 (2014)