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

Effects of realistic laser intensity and phase distribution on high-charge laser wakefield acceleration

Yuhui Xia1, Zhenan Wang1, Ziyao Tang1, Jianghao Hu1, Qianyi Ma1, Yuekai Chen1, Letian Liu1, Zhiyan Yang1, Hui Zhang1 et al.

Chenxu Wang1, Haoyang Lan1,2, Di Wu1,2, Xiuhong Yang1,2, Yixing Geng1,2, Yanying Zhao1,2,*, Xueqing Yan1,2,3, and Xinlu Xu1,2,†

  • 1State Key Laboratory of Nuclear Physics and Technology, and Key Laboratory of HEDP of the Ministry of Education, CAPT, Peking University, Beijing 100871, China
  • 2Beijing Laser Acceleration Innovation Center, Beijing 100871, China
  • 3Institute of Guangdong Laser Plasma Technology, Baiyun, Guangzhou, 510540, China

  • *Contact author: zhaoyanying@pku.edu.cn
  • †Contact author: xuxinlu@pku.edu.cn

Phys. Rev. Accel. Beams 29, 051301 – Published 13 May, 2026

DOI: https://doi.org/10.1103/cgc6-75tf

Abstract

Laser wakefield acceleration (LWFA) can produce relativistic electron beams and various secondary particles in centimeter-long plasmas, making it a valuable particle source with important applications in many disciplines. In this work, we examine the effects of nonideal transverse intensity and phase distribution of laser pulses on LWFA through both experimental measurements and particle-in-cell simulations. The complex transverse profile of the 75 TW laser pulses reduces the self-focused intensity in the plasma compared with a transversely Gaussian laser pulse. Furthermore, the sheath structure of the nonlinear plasma wake excited by realistic laser pulses is wider and more complicated than that of a Gaussian laser pulse. These features hinder electron injection. As the laser pulse propagates through the plasma, its intensity profile gradually becomes elliptical and drives a plasma wake with a sharp sheath near the azimuths of the major axis, leading to electron injection. When using a realistic laser profile in simulations, both the charge and energy of injected electrons closely match experimental results (∼200  pC of charge and ∼200  MeV peak energy), whereas the Gaussian laser simulations produce much higher charge (∼500  pC). Our findings reveal differences in injection dynamics between LWFA driven by nonideal laser pulses and those driven by Gaussian pulses and are useful for applications of LWFA that demand high-charge electron beams.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (73)

  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. Lefebvre, J.-P. Rousseau, F. Burgy, 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. Mangles, C. Murphy, Z. Najmudin, A. G. R. Thomas, J. Collier, A. E. Dangor, E. Divall, P. Foster, J. Gallacher, C. Hooker et al., Monoenergetic beams of relativistic electrons from intense laser–plasma interactions, Nature (London) 431, 535 (2004).
  5. W. Leemans et al., Gev electron beams from a centimetre-scale accelerator, Nat. Phys. 2, 696 (2006).
  6. 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 et al., Petawatt laser guiding and electron beam acceleration to 8 GeV in a laser-heated capillary discharge waveguide, Phys. Rev. Lett. 122, 084801 (2019).
  7. C. Aniculaesei, T. Ha, S. Yoffe, L. Labun, S. Milton, E. McCary, M. M. Spinks, H. J. Quevedo, O. Z. Labun, R. Sain et al., The acceleration of a high-charge electron bunch to 10 GeV in a 10-cm nanoparticle-assisted wakefield accelerator, Matter Radiat. Extremes 9, 014001 (2024).
  8. 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, Phys. Rev. Lett. 133, 255001 (2024).
  9. O. Lundh, J. Lim, C. Rechatin, L. Ammoura, A. Ben-Ismaïl, X. Davoine, G. Gallot, J.-P. Goddet, E. Lefebvre, V. Malka et al., Few femtosecond, few kiloampere electron bunch produced by a laser–plasma accelerator, Nat. Phys. 7, 219 (2011).
  10. A. Buck, M. Nicolai, K. Schmid, C. M. S. Sears, A. Sävert, J. M. Mikhailova, F. Krausz, M. C. Kaluza, and L. Veisz, Real-time observation of laser-driven electron acceleration, Nat. Phys. 7, 543 (2011).
  11. A. H. Lumpkin, M. LaBerge, D. W. Rule, R. Zgadzaj, A. Hannasch, O. Zarini, B. Bowers, A. Irman, J. P. Couperus Cabadağ, A. Debus, A. Köhler, U. Schramm, and M. C. Downer, Coherent optical signatures of electron microbunching in laser-driven plasma accelerators, Phys. Rev. Lett. 125, 014801 (2020).
  12. K. Huang, Z. Jin, N. Nakanii, T. Hosokai, and M. Kando, Electro-optic 3D snapshot of a laser wakefield accelerated kilo-ampere electron bunch, Light Sci. Appl. 13, 84 (2024).
  13. M. LaBerge, B. Bowers, Y.-Y. Chang, J. Couperus Cabadağ, A. Debus, A. Hannasch, R. Pausch, S. Schöbel, J. Tiebel, P. Ufer et al., Revealing the three-dimensional structure of microbunched plasma-wakefield-accelerated electron beams, Nat. Photonics 18, 952 (2024).
  14. Y. Ma et al., Single-shot reconstruction of electron beam longitudinal phase space in a laser wakefield accelerator, Phys. Rev. X 15, 031062 (2025).
  15. W. Leemans, A. Gonsalves, H.-S. Mao, K. Nakamura, C. Benedetti, C. Schroeder, C. Tóth, J. Daniels, D. Mittelberger, S. Bulanov et al., Multi-GeV electron beams from capillary-discharge-guided subpetawatt laser pulses in the self-trapping regime, Phys. Rev. Lett. 113, 245002 (2014).
  16. Y. Ma, L. Chen, M. Li, Y. Li, J. Wang, M. Tao, Y. Han, J. Zhao, K. Huang, W. Yan et al., Multiple quasi-monoenergetic electron beams from laser-wakefield acceleration with spatially structured laser pulse, Phys. Plasmas 22, 083102 (2015).
  17. W. Wang, W. Li, J. Liu, Z. Zhang, R. Qi, C. Yu, J. Liu, M. Fang, Z. Qin, C. Wang et al., High-brightness high-energy electron beams from a laser wakefield accelerator via energy chirp control, Phys. Rev. Lett. 117, 124801 (2016).
  18. E. Esarey, C. B. Schroeder, and W. P. Leemans, Physics of laser-driven plasma-based electron accelerators, Rev. Mod. Phys. 81, 1229 (2009).
  19. C. Joshi, S. Corde, and W. B. Mori, Perspectives on the generation of electron beams from plasma-based accelerators and their near and long term applications, Phys. Plasmas 27, 070602 (2020).
  20. W. Wang, K. Feng, L. Ke, C. Yu, Y. Xu, R. Qi, Y. Chen, Z. Qin, Z. Zhang, M. Fang et al., Free-electron lasing at 27 nanometres based on a laser wakefield accelerator, Nature (London) 595, 516 (2021).
  21. M. Labat, J. C. Cabadağ, A. Ghaith, A. Irman, A. Berlioux, P. Berteaud, F. Blache, S. Bock, F. Bouvet, F. Briquez et al., Seeded free-electron laser driven by a compact laser plasma accelerator, Nat. Photonics 17, 150 (2023).
  22. S. K. Barber, F. Kohrell, C. E. Doss, K. Jensen, C. Berger, F. Isono, Z. Eisentraut, S. Schröder, A. J. Gonsalves, K. Nakamura et al., Greater than 1000-fold gain in a free-electron laser driven by a laser-plasma accelerator with high reliability, Phys. Rev. Lett. 135, 055001 (2025).
  23. S. Corde, K. Ta Phuoc, G. Lambert, R. Fitour, V. Malka, A. Rousse, A. Beck, and E. Lefebvre, Femtosecond x rays from laser-plasma accelerators, Rev. Mod. Phys. 85, 1 (2013).
  24. H. Schwoerer, B. Liesfeld, H.-P. Schlenvoigt, K.-U. Amthor, and R. Sauerbrey, Thomson-backscattered x rays from laser-accelerated electrons, Phys. Rev. Lett. 96, 014802 (2006).
  25. M. A. Bake, A. Tursun, A. Aimidula, and B. Xie, Two-stage γ ray emission via ultrahigh intensity laser pulse interaction with a laser wakefield accelerated electron beam, Plasma Sci. Technol. 22, 105201 (2020).
  26. S. Fourmaux, S. Corde, K. T. Phuoc, P. Lassonde, G. Lebrun, S. Payeur, F. Martin, S. Sebban, V. Malka, A. Rousse et al., Single shot phase contrast imaging using laser-produced betatron x-ray beams, Opt. Lett. 36, 2426 (2011).
  27. J. M. Cole, D. R. Symes, N. C. Lopes, J. C. Wood, K. Poder, S. Alatabi, S. W. Botchway, P. S. Foster, S. Gratton, S. Johnson et al., High-resolution μCT of a mouse embryo using a compact laser-driven x-ray betatron source, Proc. Natl. Acad. Sci. U.S.A. 115, 6335 (2018).
  28. B. Kettle et al., Single-shot multi-keV x-ray absorption spectroscopy using an ultrashort laser-wakefield accelerator source, Phys. Rev. Lett. 123, 254801 (2019).
  29. D. Wu, H. Lan, J. Liu, H. Lu, J. Zhang, J. Lv, X. Wu, H. Zhang, Y. Xia, Q. He et al., Ultra-short lifetime isomer studies from photonuclear reactions using laser-driven ultra-intense γ-ray, arXiv:2402.15187.
  30. M. Zeng and O. Tesileanu, High-flux electron beams from laser wakefield accelerators driven by petawatt lasers, Plasma Sci. Technol. 19, 070502 (2017).
  31. C. McGuffey, T. Matsuoka, S. Kneip, W. Schumaker, F. Dollar, C. Zulick, V. Chvykov, G. Kalintchenko, V. Yanovsky, A. Maksimchuk et al., Experimental laser wakefield acceleration scalings exceeding 100 TW, Phys. Plasmas 19, 063113 (2012).
  32. Y. Li, D. Li, K. Huang, M. Tao, M. Li, J. Zhao, Y. Ma, X. Guo, J. Wang, M. Chen et al., Generation of 20 kA electron beam from a laser wakefield accelerator, Phys. Plasmas 24, 023108 (2017).
  33. J. Couperus, R. Pausch, A. Köhler, O. Zarini, J. Krämer, M. Garten, A. Huebl, R. Gebhardt, U. Helbig, S. Bock et al., Demonstration of a beam loaded nanocoulomb-class laser wakefield accelerator, Nat. Commun. 8, 487 (2017).
  34. J. Götzfried, A. Döpp, M. F. Gilljohann, F. M. Foerster, H. Ding, S. Schindler, G. Schilling, A. Buck, L. Veisz, and S. Karsch, Physics of high-charge electron beams in laser-plasma wakefields, Phys. Rev. X 10, 041015 (2020).
  35. J. Liu, H. Lu, H. Lu, H. Zhang, X. Wu, D. Wu, H. Lan, J. Zhang, J. Lv, Q. Ma et al., Generation of 400 pC electron bunches in laser wakefield acceleration utilizing a structured plasma density profile, Phys. Plasmas 30, 113103 (2023).
  36. J. Xu, L. Bae, M. Ezzat, H. T. Kim, J. M. Yang, S. H. Lee, J. W. Yoon, J. H. Sung, S. K. Lee, L. Ji et al., Nanoparticle-insertion scheme to decouple electron injection from laser evolution in laser wakefield acceleration, Sci. Rep. 12, 11128 (2022).
  37. G. Pariente, V. Gallet, A. Borot, O. Gobert, and F. Quéré, Space–time characterization of ultra-intense femtosecond laser beams, Nat. Photonics 10, 547 (2016).
  38. B. Alonso, A. Döpp, and S. W. Jolly, Space–time characterization of ultrashort laser pulses: A perspective, APL Photonics 9, 070901 (2024).
  39. S. Howard, J. Esslinger, N. Weiße, J. Schröder, C. Eberle, R. H. W. Wang, S. Karsch, P. Norreys, and A. Döpp, Single-shot spatiotemporal vector field measurements of petawatt laser pulses, Nat. Photonics 19, 898 (2025).
  40. A. R. Maier, N. M. Delbos, T. Eichner, L. Hübner, S. Jalas, L. Jeppe, S. W. Jolly, M. Kirchen, V. Leroux, P. Messner et al., Decoding sources of energy variability in a laser-plasma accelerator, Phys. Rev, X 10, 031039 (2020).
  41. C. Berger, S. Barber, F. Isono, K. Jensen, J. Natal, A. Gonsalves, and J. van Tilborg, Active nonperturbative stabilization of the laser-plasma-accelerated electron beam source, Phys. Rev. Accel. Beams 26, 032801 (2023).
  42. A. Amodio, D. Wang, C. Berger, H.-E. Tsai, S. K. Barber, J. van Tilborg, A. Picksley, Z. Eisentraut, N. R. Vora, M. Logantha, and etal and, Pointing stabilization of a 1 Hz high-power laser via machine learning, High Power Laser Sci. Eng. 13, e35 (2025).
  43. K. Jensen, S. K. Barber, C. Berger, C. E. Doss, F. Kohrell, J. van Tilborg, S. J. Coleman, N. M. Cook, J. Edelen, and J. Einstein-Curtis, Improved laser-plasma accelerator stability via high-bandwidth longitudinal focal position stabilization of a 100 TW-class laser system, Phys. Rev. Accel. Beams 28, 092802 (2025).
  44. S. Mangles, G. Genoud, S. Kneip, M. Burza, K. Cassou, B. Cros, N. Dover, C. Kamperidis, Z. Najmudin, A. Persson et al., Controlling the spectrum of x-rays generated in a laser-plasma accelerator by tailoring the laser wavefront, Appl. Phys. Lett. 95, 181106 (2009).
  45. B. Beaurepaire, A. Vernier, M. Bocoum, F. Böhle, A. Jullien, J. Rousseau, T. Lefrou, D. Douillet, G. Iaquaniello, R. Lopez-Martens et al., Effect of the laser wave front in a laser-plasma accelerator, Phys. Rev. X 5, 031012 (2015).
  46. Y. Glinec, J. Faure, A. Lifschitz, J. M. Vieira, R. A. Fonseca, L. O. Silva, and V. Malka, Direct observation of betatron oscillations in a laser-plasma electron accelerator, Europhys. Lett. 81, 64001 (2008).
  47. S. Corde, C. Thaury, A. Lifschitz, G. Lambert, K. Ta Phuoc, X. Davoine, R. Lehe, D. Douillet, A. Rousse, and V. Malka, Observation of longitudinal and transverse self-injections in laser-plasma accelerators, Nat. Commun. 4, 1 (2013).
  48. N. Nakanii, T. Hosokai, K. Iwasa, N. Pathak, S. Masuda, A. Zhidkov, H. Nakahara, N. Takeguchi, Y. Mizuta, T. Otsuka et al., Effect of halo on the stability of electron bunches in laser wakefield acceleration, Europhys. Lett. 113, 34002 (2016).
  49. J. Ferri, X. Davoine, S. Fourmaux, J. C. Kieffer, S. Corde, K. Ta Phuoc, and A. Lifschitz, Effect of experimental laser imperfections on laser wakefield acceleration and betatron source, Sci. Rep. 6, 27846 (2016).
  50. Z.-H. He, B. Hou, V. Lebailly, J. A. Nees, K. Krushelnick, and A. G. R. Thomas, Coherent control of plasma dynamics, Nat. Commun. 6, 7156 (2015).
  51. D. Oumbarek Espinos, A. Rondepierre, A. Zhidkov, N. Pathak, Z. Jin, K. Huang, N. Nakanii, I. Daito, M. Kando, and T. Hosokai, Notable improvements on LWFA through precise laser wavefront tuning, Sci. Rep. 13, 18466 (2023).
  52. F. S. Tsung, R. Narang, W. B. Mori, C. Joshi, R. A. Fonseca, and L. O. Silva, Near-gev-energy laser-wakefield acceleration of self-injected electrons in a centimeter-scale plasma channel, Phys. Rev. Lett. 93, 185002 (2004).
  53. S. Kalmykov, S. A. Yi, V. Khudik, and G. Shvets, Electron self-injection and trapping into an evolving plasma bubble, Phys. Rev. Lett. 103, 135004 (2009).
  54. W. B. Mori, The physics of the nonlinear optics of plasmas at relativistic intensities for short-pulse lasers, IEEE J. Quantum Electron. 33, 1942 (1997).
  55. 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 wakefield acceleration in a 3D nonlinear regime, Phys. Rev. ST Accel. Beams 10, 061301 (2007).
  56. A. Davidson, A. Tableman, W. An, F. S. Tsung, W. Lu, J. Vieira, R. A. Fonseca, L. O. Silva, and W. B. 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).
  57. R. A. Fonseca et al., High performance computing in particle accelerator science and technology-osiris: A three-dimensional, fully relativistic particle in cell code for modeling plasma based accelerators, Lect. Notes Comput. Sci. 2331, 342 (2002).
  58. G.-Z. Sun, E. Ott, Y. C. Lee, and P. Guzdar, Self-focusing of short intense pulses in plasmas, Phys. Fluids 30, 526 (1987).
  59. P. Sprangle, C.-M. Tang, and E. Esarey, Relativistic self-focusing of short-pulse radiation beams in plasmas, IEEE Trans. Plasma Sci. 15, 145 (1987).
  60. X. Xu, T. N. Dalichaouch, J. Liu, Q. Ma, J. Pierce, K. Miller, X. Yan, and W. B. Mori, Generation of ultrabright and low energy spread electron beams in laser wakefield acceleration in a uniform plasma, Phys. Rev. Accel. Beams 26, 111302 (2023).
  61. J. Wang, M. Zeng, D. Li, X. Wang, and J. Gao, High quality beam produced by tightly focused laser driven wakefield accelerators, Phys. Rev. Accel. Beams 26, 091303 (2023).
  62. X. Xu, F. Li, W. An, T. Dalichaouch, P. Yu, W. Lu, C. Joshi, and W. Mori, High quality electron bunch generation using a longitudinal density-tailored plasma-based accelerator in the three-dimensional blowout regime, Phys. Rev. Accel. Beams 20, 111303 (2017).
  63. B. Sanyasi Rao, M. H. Cho, H. T. Kim, J. H. Shin, K. H. Oh, J. H. Jeon, B. J. Yoo, S. H. Cho, J. W. Yoon, J. H. Sung, S. K. Lee, and C. H. Nam, Optical shaping of plasma cavity for controlled laser wakefield acceleration, Phys. Rev. Res. 2, 043319 (2020).
  64. T. N. Dalichaouch, X. L. Xu, A. Tableman, F. Li, F. S. Tsung, and W. B. Mori, A multi-sheath model for highly nonlinear plasma wakefields, Phys. Plasmas 28, 063103 (2021).
  65. J. E. Shrock, E. Rockafellow, B. Miao, M. Le, R. C. Hollinger, S. Wang, A. J. Gonsalves, A. Picksley, J. J. Rocca, and H. M. Milchberg, Guided mode evolution and ionization injection in meter-scale multi-GeV laser wakefield accelerators, Phys. Rev. Lett. 133, 045002 (2024).
  66. https://en.wikipedia.org/wiki/Pearson_correlation_coefficient.
  67. Y. Xia, Data and scripts for: Effects of realistic laser intensity and phase distribution on high-charge LWFA, GitHub 1.0.0 (2026), https://github.com/PKUxyh/2025-High-Charge.
  68. I. Moulanier, L. T. Dickson, C. Ballage, O. Vasilovici, A. Gremaud, S. Dobosz Dufrénoy, N. Delerue, L. Bernardi, A. Mahjoub, A. Cauchois, A. Specka, F. Massimo, G. Maynard, and B. Cros, Modeling of the driver transverse profile for laser wakefield electron acceleration at apollon research facility, Phys. Plasmas 30, 053109 (2023).
  69. I. Moulanier, L. T. Dickson, F. Massimo, G. Maynard, and B. Cros, Fast laser field reconstruction method based on a Gerchberg–Saxton algorithm with mode decomposition, J. Opt. Soc. Am. B 40, 2450 (2023).
  70. Z. Wang, A. Bovik, H. Sheikh, and E. Simoncelli, Image quality assessment: from error visibility to structural similarity, IEEE Trans. Image Process. 13, 600 (2004).
  71. A. Horé and D. Ziou, Image quality metrics: PSNR vs SSIM, in Proceedings of the 2010 20th International Conference on Pattern Recognition (2010), pp. 2366–2369, https://ieeexplore.ieee.org/document/5596999/.
  72. J. R. Fienup, Phase retrieval algorithms: A comparison, Appl. Opt. 21, 2758 (1982).
  73. I. Zemzemi, F. Massimo, and A. Beck, Azimuthal decomposition study of a realistic laser profile for efficient modeling of laser wakefield acceleration, J. Phys. Conf. Ser. 1596, 012054 (2020).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation