- Open Access
Robustness optimization for compact free-electron laser driven by laser wakefield accelerators
Phys. Rev. Research 8, 013204 – Published 23 February, 2026
DOI: https://doi.org/10.1103/2mn1-6tb4
Abstract
Despite the successful demonstration of compact free-electron lasers (FELs) driven by laser wakefield accelerators (LWFAs), the inherent shot-to-shot fluctuations in LWFAs, including both laser and plasma instabilities, remain a primary obstacle to realizing LWFA-driven FELs with robust operation. Here, we present a conceptual design for LWFA-driven FELs with sufficient tolerance against shot-to-shot fluctuations using the covariance matrix adaptation evolution strategy. Start-to-end simulations demonstrated that this systematic optimization resulted in a significant improvement in the robustness of FELs. With the optimized configurations, the radiation energy can be maintained above at a wavelength of approximately 25 nm, even when accounting for twice the root-mean-square ranges of these instabilities. This proposed scheme represents a substantial advancement in the development of compact LWFA-driven FEL systems, enabling robust operation and paving the way for the realization of reliable and widely accessible sources.
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References (45)
- J. M. J. Madey, Stimulated emission of bremsstrahlung in a periodic magnetic field, J. Appl. Phys. 42, 1906 (1971).
- P. Emma, R. Akre, J. Arthur, R. Bionta, C. Bostedt, J. Bozek, A. Brachmann, P. Bucksbaum, R. Coffee, F.-J. Decker, et al., First lasing and operation of an ångstrom-wavelength free-electron laser, Nat. Photon. 4, 641 (2010).
- T. Ishikawa, H. Aoyagi, T. Asaka, Y. Asano, N. Azumi, T. Bizen, H. Ego, K. Fukami, T. Fukui, Y. Furukawa, et al., A compact x-ray free-electron laser emitting in the sub-ångström region, Nat. Photon. 6, 540 (2012).
- H.-S. Kang, C.-K. Min, H. Heo, C. Kim, H. Yang, G. Kim, I. Nam, S. Y. Baek, H.-J. Choi, G. Mun, et al., Hard x-ray free-electron laser with femtosecond-scale timing jitter, Nat. Photon. 11, 708 (2017).
- W. Decking, S. Abeghyan, P. Abramian, A. Abramsky, A. Aguirre, C. Albrecht, P. Alou, M. Altarelli, P. Altmann, K. Amyan, et al., A MHz-repetition-rate hard x-ray free-electron laser driven by a superconducting linear accelerator, Nat. Photon. 14, 391 (2020).
- C. Bostedt, S. Boutet, D. M. Fritz, Z. Huang, H. J. Lee, H. T. Lemke, A. Robert, W. F. Schlotter, J. J. Turner, and G. J. Williams, Linac coherent light source: The first five years, Rev. Mod. Phys. 88, 015007 (2016).
- A. Burnett, M. Borghesi, A. Comley, M. Dean, S. Diaz-Moreno, D. Dye, J. Greenwood, A. Higginbotham, A. Kirrander, J. P. Marangos, et al., UK-XFEL science case, Project Report, Science and Technology Facilities Council, 2020.
- T. Tajima and J. M. Dawson, Laser electron accelerator, Phys. Rev. Lett. 43, 267 (1979).
- K. Nakajima, et al., Observation of ultrahigh gradient electron acceleration by a self-modulated intense short laser pulse, Phys. Rev. Lett. 74, 4428 (1995).
- R. W. Assmann, M. K. Weikum, T. Akhter, D. Alesini, A. S. Alexandrova, M. P. Anania, N. E. Andreev, I. Andriyash, M. Artioli, A. Aschikhin, et al., EuPRAXIA conceptual design report, Eur. Phys. J. Spec. Top. 229, 3675 (2020).
- E. Esarey, C. B. Schroeder, and W. P. Leemans, Physics of laser-driven plasma-based electron accelerators, Rev. Mod. Phys. 81, 1229 (2009).
- A. J. Gonsalves, K. Nakamura, C. Lin, D. Panasenko, S. Shiraishi, T. Sokollik, C. Benedetti, C. B. Schroeder, C. G. R. Geddes, J. van Tilborg, J. Osterhoff, E. Esarey, C. Toth, and W. P. Leemans, Tunable laser plasma accelerator based on longitudinal density tailoring, Nat. Phys. 7, 862 (2011).
- 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, 1501 (2013).
- A. Buck, J. Wenz, J. Xu, K. Khrennikov, K. Schmid, M. Heigoldt, J. M. Mikhailova, M. Geissler, B. Shen, F. Krausz, S. Karsch, and L. Veisz, Shock-front injector for high-quality laser-plasma acceleration, Phys. Rev. Lett. 110, 185006 (2013).
- W. T. Wang, W. T. Li, J. S. Liu, Z. J. Zhang, R. Qi, C. H. Yu, J. Q. Liu, M. Fang, Z. Y. Qin, C. Wang, Y. Xu, F. X. Wu, Y. X. Leng, R. X. Li, and Z. Z. Xu, High-brightness high-energy electron beams from a laser wakefield accelerator via energy chirp control, Phys. Rev. Lett. 117, 124801 (2016).
- M. C. Downer, R. Zgadzaj, A. Debus, U. Schramm, and M. C. Kaluza, Diagnostics for plasma-based electron accelerators, Rev. Mod. Phys. 90, 035002 (2018).
- A. R. Maier, N. M. Delbos, T. Eichner, L. Hübner, S. Jalas, L. Jeppe, S. W. Jolly, M. Kirchen, V. Leroux, P. Messner, M. Schnepp, M. Trunk, P. A. Walker, C. Werle, and P. Winkler, Decoding sources of energy variability in a laser-plasma accelerator, Phys. Rev. X 10, 031039 (2020).
- L. T. Ke, K. Feng, W. T. Wang, Z. Y. Qin, C. H. Yu, Y. Wu, Y. Chen, R. Qi, Z. J. Zhang, Y. Xu, X. J. Yang, Y. X. Leng, J. S. Liu, R. X. Li, and Z. Z. Xu, Near-GeV electron beams at a few per-mille level from a laser wakefield accelerator via density-tailored plasma, Phys. Rev. Lett. 126, 214801 (2021).
- A. Ferran Pousa, I. Agapov, S. A. Antipov, R. W. Assmann, R. Brinkmann, S. Jalas, M. Kirchen, W. P. Leemans, A. R. Maier, A. Martinez de la Ossa, J. Osterhoff, and M. Thévenet, Energy compression and stabilization of laser-plasma accelerators, Phys. Rev. Lett. 129, 094801 (2022).
- 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).
- W. Wang, K. Feng, L. Ke, C. Yu, Y. Xu, R. Qi, Y. Chen, Z. Qin, Z. Zhang, M. Fang, J. Liu, K. Jiang, H. Wang, C. 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 (London) 595, 516 (2021).
- 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. Photon. 17, 150 (2023).
- Z. Huang and K.-J. Kim, Review of x-ray free-electron laser theory, Phys. Rev. ST Accel. Beams 10, 034801 (2007).
- M. Galletti, R. Assmann, M. E. Couprie, M. Ferrario, L. Giannessi, A. Irman, R. Pompili, and W. Wang, Prospects for free-electron lasers powered by plasma-wakefield-accelerated beams, Nat. Photon. 18, 780 (2024).
- J. Duris, D. Kennedy, A. Hanuka, J. Shtalenkova, A. Edelen, P. Baxevanis, A. Egger, T. Cope, M. McIntire, S. Ermon, and D. Ratner, Bayesian optimization of a free-electron laser, Phys. Rev. Lett. 124, 124801 (2020).
- S. Jalas, M. Kirchen, P. Messner, P. Winkler, L. Hübner, J. Dirkwinkel, M. Schnepp, R. Lehe, and A. R. Maier, Bayesian optimization of a laser-plasma accelerator, Phys. Rev. Lett. 126, 104801 (2021).
- M. Kirchen, S. Jalas, P. Messner, P. Winkler, T. Eichner, L. Hübner, T. Hülsenbusch, L. Jeppe, T. Parikh, M. Schnepp, and A. R. Maier, Optimal beam loading in a laser-plasma accelerator, Phys. Rev. Lett. 126, 174801 (2021).
- E. J. Dolier, M. King, R. Wilson, R. J. Gray, and P. McKenna, Multi-parameter Bayesian optimisation of laser-driven ion acceleration in particle-in-cell simulations, New J. Phys. 24, 073025 (2022).
- F. Irshad, S. Karsch, and A. Döpp, Multi-objective and multi-fidelity Bayesian optimization of laser-plasma acceleration, Phys. Rev. Res. 5, 013063 (2023).
- A. Döpp, C. Eberle, S. Howard, F. Irshad, J. Lin, and M. Streeter, Data-driven science and machine learning methods in laser-plasma physics, High Power Laser Sci. Eng. 11, e55 (2023).
- M. M. Seibert, T. Ekeberg, F. R. N. C. Maia, M. Svenda, J. Andreasson, O. Jönsson, D. Odić, B. Iwan, A. Rocker, D. Westphal, et al., Single mimivirus particles intercepted and imaged with an x-ray laser, Nature (London) 470, 78 (2011).
- H. Jiang, C. Song, C.-C. Chen, R. Xu, K. S. Raines, B. P. Fahimian, C.-H. Lu, T.-K. Lee, A. Nakashima, J. Urano, T. Ishikawa, F. Tamanoi, and J. Miao, Quantitative 3D imaging of whole, unstained cells by using x-ray diffraction microscopy, Proc. Natl. Acad. Sci. USA 107, 11234 (2010).
- 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, Comput. Phys. Commun. 203, 66 (2016).
- S. Jalas, I. Dornmair, R. Lehe, H. Vincenti, J.-L. Vay, M. Kirchen, and A. R. Maier, Accurate modeling of plasma acceleration with arbitrary order pseudo-spectral particle-in-cell methods, Phys. Plasmas 24, 033115 (2017).
- K. Feng, K. Jiang, R. Hu, C. Lv, X. Chen, H. Jiang, S. Luan, W. Wang, and R. Li, High-quality electron beam generation from laser wakefield accelerators for driving compact free electron lasers, arXiv:2501.09916.
- F. Wu, Z. Zhang, X. Yang, J. Hu, P. Ji, J. Gui, C. Wang, J. Chen, Y. Peng, X. Liu, Y. Liu, X. Lu, Y. Xu, Y. Leng, R. Li, and Z. Xu, Performance improvement of a 200TW/1Hz Ti:sapphire laser for laser wakefield electron accelerator, Opt. Laser Technol. 131, 106453 (2020).
- N. Hansen, The CMA evolution strategy: A tutorial, arXiv:1604.00772.
- T. Akiba, S. Sano, T. Yanase, T. Ohta, and M. Koyama, Optuna: A next-generation hyperparameter optimization framework, in Proceedings of the 25th ACM SIGKDD International Conference on Knowledge Discovery & Data Mining, edited by A. Teredesai, V. Kumar, Y. Li, R. Rosales, E. Terzi, and G. Karypis, KDD’19 (ACM, New York, NY, 2019), pp. 2623–2631.
- M. Borland, ELEGANT: A flexible SDDS-compliant code for accelerator simulation, Technical Report, Argonne National Laboratory, IL, USA, 2000.
- S. Reiche, Genesis 1.3: A fully 3D time-dependent FEL simulation code, Nucl. Instrum. Methods Phys. Res. Sect. A 429, 243 (1999).
- Note in units of meters (m) and in units of per square meter ().
- C. Pellegrini, A. Marinelli, and S. Reiche, The physics of x-ray free-electron lasers, Rev. Mod. Phys. 88, 015006 (2016).
- Note that the pulse duration is defined as the full width at half maximum.
- H. Jiang, K. Feng, R. Hu, Q. Zhan, W. Wang, and R. Li, Robustness optimization for compact free-electron laser driven by laser wakefield accelerators, Science Data Bank, (2025), https://doi.org/10.57760/sciencedb.21678.
- Note in units of meters (m) and in units of per square meter ().