- Editors' Suggestion
- Open Access
Data-model-guided framework for systemic emittance minimization in high-brightness photoinjectors
Phys. Rev. Accel. Beams 29, 050701 – Published 8 May, 2026
DOI: https://doi.org/10.1103/kk2s-s43l
Abstract
Bunch shaping in electron linear accelerators is of critical importance, as it enables the realization of prescribed projection profiles along specific coordinates of the bunch distribution for linac-based x-ray free-electron laser (XFEL) applications. It is evident that temporally flattop electron bunches yield more uniform slice properties, reduced emittance growth, and enhanced FEL gain compared to conventional Gaussian profiles. In this work, we present a data- and model-guided framework that consists of a physics-informed model and an inverse emittance model for minimizing the bunch emittance through laser pulse shaping and the control of laser and accelerator parameters in high-brightness photoinjectors. With a temporal flattop laser shape selected, a flat slice emittance distribution along the bunch has been experimentally obtained at the European XFEL. A measured central slice emittance of about at 250 pC is achieved using a 20 ps flattop laser pulse at the photocathode. Here we present the results of a commissioning experiment, marking a practical application of temporally flattop-shaped electron bunches for stable photon delivery in a user experiment week at the facility. Within limited tuning time, a pulse energy of 1.7 mJ has been achieved at photon energies of 7.1 and 7.6 keV for the two hard x-ray undulator beamlines, surpassing the user requirements. Such a data- and model-driven framework opens up new opportunities for end-to-end optimization of machine parameters, thereby enhancing the capabilities of large-scale FEL facilities.
Physics Subject Headings (PhySH)
Article Text
References (29)
- I. Will and G. Klemz, Generation of flat-top picosecond pulses by coherent pulse stacking in a multicrystal birefringent filter, Opt. Express 16, 14922 (2008).
- A. K. Sharma, T. Tsang, and T. Rao, Theoretical and experimental study of passive spatiotemporal shaping of picosecond laser pulses, Phys. Rev. ST Accel. Beams 12, 033501 (2009).
- S. Cialdi and I. Boscolo, A laser pulse shaper for the low-emittance radiofrequency sparc electron gun, Nucl. Instrum. Methods Phys. Res., Sect. A 526, 239 (2004).
- I. V. Bazarov, D. G. Ouzounov, B. M. Dunham, S. A. Belomestnykh, Y. Li, X. Liu, R. E. Meller, J. Sikora, C. K. Sinclair, F. W. Wise, and T. Miyajima, Efficient temporal shaping of electron distributions for high-brightness photoemission electron guns, Phys. Rev. ST Accel. Beams 11, 040702 (2008).
- M. Krasilnikov et al., Experimentally minimized beam emittance from an -band photoinjector, Phys. Rev. ST Accel. Beams 15, 100701 (2012).
- C. Limborg-Deprey and P. R. Bolton, Optimum electron distributions for space charge dominated beams in photoinjectors, Nucl. Instrum. Methods Phys. Res., Sect. A 557, 106 (2006), Energy Recovering Linacs 2005.
- D. Garzella, O. Gobert, P. Hollander, F. Lepetit, M. Perdrix, and T. Oksenhendler, Temporal analysis and shape control of UV high energy laser pulses for photoinjectors, in Proceedings of the 28th International Free Electron Laser Conference, FEL-2006, BESSY, Berlin, Germany (2006), https://epaper.kek.jp/f06/PAPERS/THPPH001.PDF.
- M. B. Danailov, A. A. Demidovich, and R. Ivanov, Design of a two-stage laser pulse shaping system for FEL photoinjectors, in Proceedings of the 28th International Free Electron Laser Conference, FEL-2006, BESSY, Berlin, Germany (2006), pp. 617–620, https://epaper.kek.jp/f06/PAPERS/THPPH026.PDF.
- H. Tomizawa, H. Dewa, H. Hanaki, and F. Matsui, Development of a yearlong maintenance-free terawatt Ti:Sapphire laser system with a 3d UV-pulse shaping system for THG, Quantum Electron. 37, 697 (2007).
- F. Zhou, D. Bohler, Y. Ding, S. Gilevich, Z. Huang, H. Loos, D. Ratner, and S. Vetter, Characterizing and optimizing photocathode laser distributions for ultra-low emittance electron beam operations, Reports No. SLAC-PUB-16436, No. SLAC-PUB-16491, SLAC National Accelerator Laboratory, 2015, https://www.slac.stanford.edu/pubs/slacpubs/16250/slac-pub-16491.pdf.
- Z. Zhang, Y. Ding, Z. Huang, and F. Zhou, Multiplexed photoinjector optimization for high-repetition-rate free-electron lasers, Front. Phys. 11, 1166216 (2023).
- S. Bettoni, M. Pedrozzi, and S. Reiche, Low emittance injector design for free electron lasers, Phys. Rev. ST Accel. Beams 18, 123403 (2015).
- E. Prat, P. Dijkstal, M. Aiba, S. Bettoni, P. Craievich, E. Ferrari, R. Ischebeck, F. Löhl, A. Malyzhenkov, G. L. Orlandi, S. Reiche, and T. Schietinger, Generation and characterization of intense ultralow-emittance electron beams for compact x-ray free-electron lasers, Phys. Rev. Lett. 123, 234801 (2019).
- R. Lemons, N. Neveu, J. Duris, A. Marinelli, C. Durfee, and S. Carbajo, Temporal shaping of narrow-band picosecond pulses via noncolinear sum-frequency mixing of dispersion-controlled pulses, Phys. Rev. Accel. Beams 25, 013401 (2022).
- N. Neveu, R. Lemons, J. Duris, J. Tang, Y. Ding, A. Marinelli, and S. Carbajo, Simulation of nonlinearly shaped UV pulses in lCLS-II, Nucl. Instrum. Methods Phys. Res., Sect. A 1072, 170065 (2025).
- B. Zhang, X. Li, Q. Liu, Z. Zhu, W. Zhang, Z. He, W. Liu, G. Wu, and X. Yang, High repetition-rate photoinjector laser system for S3FEL, Front. Phys. 11, 1181862 (2023).
- C. Li, X. Dai, H. Deng, L. Feng, B. Liu, J. Wang, X. Wang, and W. Zhang, Photoinjector drive laser temporal shaping for Shanghai soft x-ray free electron laser, in Proceedings of the 12th International Particle Accelerator Conference, IPAC-2021, Campinas, SP, Brazil (JACoW, Geneva, Switzerland, 2021).
- 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. Photonics 14, 391 (2020).
- D. Ilia, C. Li, U. Grosse-Wortmann, I. Hartl, Y. Jiang, C. Mahnke, H. Panuganti, F. Pressacco, H. Tavakol, and H. Tünnermann, Advanced pulse shaping for photoinjector lasers, in Frontiers in Ultrafast Optics: Biomedical, Scientific, and Industrial Applications XXV, SPIE Proceedings Vol. 13353 (SPIE-International Society for Optics and Photonics, Bellingham, WA, 2025), p. 133530F
- C. Mahnke et al., Novel photocathode lasers for the hard- and soft-x-ray free electron lasers EuXFEL and FLASH, EPJ Web Conf. 307, 04001 (2024).
- D. Ilia, N. Ay, I. Hartl, W. Hillert, and H. Tünnermann, Differentiable models for control of complex physical systems: A case study in laser pulse shaping, in Proceedings of the NeurIPS Machine Learning and the Physical Sciences Workshop (2025), https://ml4physicalsciences.github.io/2025/files/NeurIPS_ML4PS_2025_61.pdf.
- Y. Chen, I. Zagorodnov, and M. Dohlus, Beam dynamics of realistic bunches at the injector section of the European x-ray free-electron laser, Phys. Rev. Accel. Beams 23, 044201 (2020).
- K. Floettmann, A space charge tracking algorithm, astra version 4.0, https://www.desy.de/~mpyflo/ [accessed: November 30, 2024].
- P. Emma and W. Spence, Grid scans: A transfer map diagnostic, in Proceedings of the Particle Accelerator Conference, San Francisco, CA, 1991 (IEEE, New York, 1991).
- F. Brinker, Commissioning of the European XFEL injector, in Proceedings of the 7th International Particle Accelerator Conference, IPAC-2016, Busan, Korea (JACoW, Geneva, Switzerland, 2016), pp. 1044–1047, 10.18429/JACoW-IPAC2016-TUOCA03.
- M. Scholz and B. Beutner, Electron beam phase space tomography at the European XFEL injector, in Proceedings of the 8th International Particle Accelerator Conference, IPAC-2017, Copenhagen, Denmark (JACoW, Geneva, Switzerland, 2017).
- I. Zagorodnov, S. Tomin, Y. Chen, and F. Brinker, Experimental validation of collective effects modeling at injector section of x-ray free-electron laser, Nucl. Instrum. Methods Phys. Res., Sect. A 995, 165111 (2021).
- P.-W. Huang et al., Single shot cathode transverse momentum imaging in high brightness photoinjectors, Phys. Rev. Accel. Beams 23, 043401 (2020).
- D. Bazyl, Y. Chen, M. Dohlus, and T. Limberg, CW operation of the European XFEL: SC-gun injector optimization, S2E calculations and SASE performance, arXiv:2111.01756.