- Open Access
Arbitrary-velocity laser pulses in plasma waveguides
Phys. Rev. Research 7, 023249 – Published 11 June, 2025
DOI: https://doi.org/10.1103/vysz-9pkl
Abstract
Space-time structured laser pulses feature an intensity peak that can travel at an arbitrary velocity while maintaining a near-constant profile. These pulses can propagate in uniform media, where their frequencies are correlated with continuous transverse wave vectors, or in structured media, such as a waveguide, where their frequencies are correlated with discrete mode numbers. Here, we demonstrate the formation and propagation of arbitrary-velocity laser pulses in a plasma waveguide where the intensity can be orders of magnitude higher than in a solid-state waveguide. The flexibility to control the velocity of the peak intensity in a plasma waveguide enables new configurations for plasma-based sources of radiation and energetic particles, including THz generation, laser wakefield acceleration, and direct laser acceleration.
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References (67)
- H. E. Kondakci and A. F. Abouraddy, Diffraction-free space–time light sheets, Nat. Photon. 11, 733 (2017).
- 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).
- 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, J. Katz, and J. L. Shaw, Spatiotemporal control of laser intensity, Nat. Photon. 12, 262 (2018).
- H. E. Kondakci and A. F. Abouraddy, Optical space-time wave packets having arbitrary group velocities in free space, Nat. Commun. 10, 929 (2019).
- Z. Li and J. Kawanaka, Optical wave-packet with nearly-programmable group velocities, Commun. Phys. 3, 211 (2020).
- Z. Li and J. Kawanaka, Velocity and acceleration freely tunable straight-line propagation light bullet, Sci. Rep. 10, 11481 (2020).
- C. Caizergues, S. Smartsev, V. Malka, and C. Thaury, Phase-locked laser-wakefield electron acceleration, Nat. Photon. 14, 475 (2020).
- 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).
- 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).
- M. Yessenov, J. Free, Z. Chen, E. G. Johnson, M. P. J. Lavery, M. A. Alonso, and A. F. Abouraddy, Space-time wave packets localized in all dimensions, Nat. Commun. 13, 4573 (2022).
- Z. Liang, Y. Liu, Y. Luo, H. Chen, and D. Deng, Space-time wave packets with both arbitrary transverse and longitudinal accelerations, Opt. Lett. 48, 2543 (2023).
- J. J. Pigeon, P. Franke, M. L. P. Chong, J. Katz, R. Boni, C. Dorrer, J. P. Palastro, and D. H. Froula, Ultrabroadband flying-focus using an axiparabola-echelon pair, Opt. Express 32, 576 (2024).
- A. Liberman, R. Lahaye, S. Smartsev, S. Tata, S. Benracassa, A. Golovanov, E. Levine, C. Thaury, and V. Malka, Use of spatiotemporal couplings and an axiparabola to control the velocity of peak intensity, Opt. Lett. 49, 814 (2024).
- 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).
- Z. Gong, S. Cao, J. P. Palastro, and M. R. Edwards, Laser wakefield acceleration of ions with a transverse flying focus, Phys. Rev. Lett. 133, 265002 (2024).
- C. Guo and S. Fan, Generation of guided space-time wave packets using multilevel indirect photonic transitions in integrated photonics, Phys. Rev. Res. 3, 033161 (2021).
- D.-H. Huang, C. Guo, and S. Fan, Light bullet generation via stimulated brillouin scattering, APL Photonics 9, 061301 (2024).
- X. Su, K. Zou, Y. Wang, M. Yessenov, H. Zhou, H. Song, W. Ko, R. Zeng, A. Alhaddad, M. Ramakrishnan, Y. Duan, A. F. Abouraddy, M. Tur, D. N. Christodoulides, and A. E. Willner, Space-time wave packets in multimode optical fibers with controlled dynamic motions and tunable group velocities, Nat. Commun. 16, 2027 (2025).
- D. Turnbull, S. Bucht, A. Davies, D. Haberberger, T. Kessler, J. L. Shaw, and D. H. Froula, Raman amplification with a flying focus, Phys. Rev. Lett. 120, 024801 (2018).
- A. J. Howard, D. Turnbull, A. S. Davies, P. Franke, D. H. Froula, and J. P. Palastro, Photon acceleration in a flying focus, Phys. Rev. Lett. 123, 124801 (2019).
- D. Turnbull, S.-W. Bahk, I. A. Begishev, R. Boni, J. Bromage, S. Bucht, A. Davies, P. Franke, D. Haberberger, J. Katz, T. J. Kessler, A. L. Milder, J. P. Palastro, J. L. Shaw, and D. H. Froula, Flying focus and its application to plasma-based laser amplifiers, Plasma Phys. Control. Fusion 61, 014022 (2019).
- 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).
- D. Ramsey, P. Franke, T. T. Simpson, D. H. Froula, and J. P. Palastro, Vacuum acceleration of electrons in a dynamic laser pulse, Phys. Rev. E 102, 043207 (2020).
- P. Franke, D. Ramsey, T. T. Simpson, D. Turnbull, D. H. Froula, and J. P. Palastro, Optical shock-enhanced self-photon acceleration, Phys. Rev. A 104, 043520 (2021).
- D. Ramsey, B. Malaca, A. Di Piazza, M. Formanek, P. Franke, D. H. Froula, M. Pardal, T. T. Simpson, J. Vieira, K. Weichman, and J. P. Palastro, Nonlinear thomson scattering with ponderomotive control, Phys. Rev. E 105, 065201 (2022).
- Z. Wu, Y. Zuo, Z. Zhang, X. Wang, J. Mu, X. D. Wang, B. Hu, J. Su, Z. Li, X. Wei, and X. Zeng, Self-compression of stimulated raman backscattering by a flying focus, Phys. Rev. E 106, 035209 (2022).
- H. Ye, Y. Gu, Q. Fan, X. Zhang, S. Wang, F. Tan, J. Zhang, Y. Yang, Y. Yan, J. Wen, Y. Wu, W. Lu, W. Huang, and W. Zhou, Enhanced Thomson scattering x-ray sources with flying focus laser pulse, AIP Adv. 13, 035330 (2023).
- 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).
- J. P. Palastro, D. Turnbull, S.-W. Bahk, R. K. Follett, J. L. Shaw, D. Haberberger, J. Bromage, and D. H. Froula, Ionization waves of arbitrary velocity driven by a flying focus, Phys. Rev. A 97, 033835 (2018).
- A. Kabacinski, E. Oliva, F. Tissandier, J. Gautier, M. Kozlová, J.-P. Goddet, I. A. Andriyash, C. Thaury, P. Zeitoun, and S. Sebban, Spatio-temporal couplings for controlling group velocity in longitudinally pumped seeded soft x-ray lasers, Nat. Photon. 17, 354 (2023).
- T. T. Simpson, J. J. Pigeon, M. V. Ambat, K. G. Miller, D. Ramsey, K. Weichman, D. H. Froula, and J. P. Palastro, Spatiotemporal control of two-color terahertz generation, Phys. Rev. Res. 6, 013041 (2024).
- T. T. Simpson, J. J. Pigeon, K. G. Miller, D. Ramsey, D. H. Froula, and J. P. Palastro, Dephasingless two-color terahertz generation, Sci. Rep. 14, 26587 (2024).
- S. Fu, B. Groussin, Y. Liu, A. Mysyrowicz, V. Tikhonchuk, and A. Houard, Steering laser-produced thz radiation in air with superluminal ionization fronts, Phys. Rev. Lett. 134, 045001 (2025).
- A. Di Piazza, Unveiling the transverse formation length of nonlinear compton scattering, Phys. Rev. A 103, 012215 (2021).
- M. Formanek, D. Ramsey, J. P. Palastro, and A. Di Piazza, Radiation reaction enhancement in flying focus pulses, Phys. Rev. A 105, L020203 (2022).
- M. Formanek, J. P. Palastro, D. Ramsey, S. Weber, and A. Di Piazza, Signatures of vacuum birefringence in low-power flying focus pulses, Phys. Rev. D 109, 056009 (2024).
- C. G. Durfee and H. M. Milchberg, Light pipe for high intensity laser pulses, Phys. Rev. Lett. 71, 2409 (1993).
- 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).
- T. Ditmire, R. A. Smith, and M. H. R. Hutchinson, Plasma waveguide formation in predissociated clustering gases, Opt. Lett. 23, 322 (1998).
- T. R. Clark and H. M. Milchberg, Optical mode structure of the plasma waveguide, Phys. Rev. E 61, 1954 (2000).
- C. G. R. Geddes, Cs. 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).
- 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).
- B. D. Layer, A. York, T. M. Antonsen, S. Varma, Y.-H. Chen, Y. Leng, and H. M. Milchberg, Ultrahigh-intensity optical slow-wave structure, Phys. Rev. Lett. 99, 035001 (2007).
- 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).
- 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).
- C. G. R. Geddes, Cs. 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).
- T. M. Antonsen, Jr., J. Palastro, and H. M. Milchberg, Excitation of terahertz radiation by laser pulses in nonuniform plasma channels, Phys. Plasmas 14, 033107 (2007).
- J. Ren, W. Cheng, S. Li, and S. Suckewer, A new method for generating ultraintense and ultrashort laser pulses, Nat. Phys. 3, 732 (2007).
- J. P. Palastro, T. M. Antonsen, S. Morshed, A. G. York, and H. M. Milchberg, Pulse propagation and electron acceleration in a corrugated plasma channel, Phys. Rev. E 77, 036405 (2008).
- C.-H. Pai, M.-W. Lin, L.-C. Ha, S.-T. Huang, Y.-C. Tsou, H.-H. Chu, J.-Y. Lin, J. Wang, and S.-Y. Chen, Backward raman amplification in a plasma waveguide, Phys. Rev. Lett. 101, 065005 (2008).
- D. Turnbull, S. Li, A. Morozov, and S. Suckewer, Possible origins of a time-resolved frequency shift in raman plasma amplifiers, Phys. Plasmas 19, 073103 (2012).
- S. M. Hooker, R. Bartolini, S. P. D. 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).
- 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).
- 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).
- 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).
- 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).
- Q. Zhan, Spatiotemporal sculpturing of light: A tutorial, Adv. Opt. Photon. 16, 163 (2024).
- 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).
- A. Picksley, A. Alejo, J. Cowley, N. Bourgeois, L. Corner, L. Feder, J. Holloway, H. Jones, J. Jonnerby, H. M. Milchberg, L. R. Reid, A. J. Ross, R. Walczak, and S. M. Hooker, Guiding of high-intensity laser pulses in 100-mm-long hydrodynamic optical-field-ionized plasma channels, Phys. Rev. Accel. Beams 23, 081303 (2020).
- F. Li, W. An, V. K. Decyk, X. Xu, M. J. Hogan, and W. B. Mori, A quasi-static particle-in-cell algorithm based on an azimuthal fourier decomposition for highly efficient simulations of plasma-based acceleration: QPAD, Comput. Phys. Commun. 261, 107784 (2021).
- F. Li, W. An, F. S. Tsung, V. K. Decyk, and W. B. Mori, Integrating a ponderomotive guiding center algorithm into a quasi-static particle-in-cell code based on azimuthal mode decomposition, J. Comput. Phys. 470, 111599 (2022).
- 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).
- 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).
- 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).
- T. C. Chiou, T. Katsouleas, C. Decker, W. B. Mori, J. S. Wurtele, G. Shvets, and J. J. Su, Laser wake-field acceleration and optical guiding in a hollow plasma channel, Phys. Plasmas 2, 310 (1995).
- 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).
- C. B. Schroeder, C. Benedetti, E. Esarey, and W. P. Leemans, Laser-plasma-based linear collider using hollow plasma channels, Nucl. Instrum. Methods Phys. Res. Sect. A 829, 113 (2016), 2nd European Advanced Accelerator Concepts Workshop - EAAC 2015.