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Two-color x-ray free-electron laser based on self-seeding configuration

Yixuan Liu1,2,*, Kai Hu3,*, Chuan Yang3,4,†, Tao Liu1, Dong Wang1, and Weiqing Zhang5

  • *These authors contributed equally to this work.
  • †Contact author: yangc@mail.iasf.ac.cn
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Phys. Rev. Accel. Beams 29, 060701 – Published 11 June, 2026

DOI: https://doi.org/10.1103/7457-fzgz

Abstract

Generating two-color x-ray pulses is crucial for the research of ultrafast dynamics. The development of x-ray free electron lasers (XFELs) has enabled the production of high-power ultrashort two-color x-ray pulses. In this work, we propose a two-color XFEL scheme based on a self-seeding configuration. A chirped x-ray pulse is first generated by a chirped electron beam in the first undulator. Then the chirped electron beam passes through a chicane, and the chirped x-ray pulse passes through a multilayer-based two-color filter to produce a two-color seed. Finally, this seed is amplified to saturation by the electron beam in the second undulator, yielding ultrashort two-color x-ray pulses with spectral-temporal separation. This scheme offers a novel approach for producing ultrashort two-color XFEL pulses.

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References (51)

  1. L. Young et al., Roadmap of ultrafast x-ray atomic and molecular physics, J. Phys. B 51, 032003 (2018).
  2. A. H. Zewail, Laser femtochemistry, Science 242, 1645 (1988).
  3. E. J. Takahashi, P. Lan, O. D. Mücke, Y. Nabekawa, and K. Midorikawa, Attosecond nonlinear optics using gigawatt-scale isolated attosecond pulses, Nat. Commun. 4, 2691 (2013).
  4. D. Fabris, T. Witting, W. A. Okell, D. J. Walke, P. Matia-Hernando, J. Henkel, T. R. Barillot, M. Lein, J. P. Marangos, and J. W. G. Tisch, Synchronized pulses generated at 20 eV and 90 eV for attosecond pump-probe experiments, Nat. Photonics 9, 383 (2015).
  5. J. Seres, E. Seres, A. J. Verhoef, G. Tempea, C. Streli, P. Wobrauschek, V. Yakovlev, A. Scrinzi, C. Spielmann, and F. Krausz, Source of coherent kiloelectronvolt x-rays, Nature 433, 596 (2005).
  6. T. Popmintchev, M.-C. Chen, D. Popmintchev et al., Bright coherent ultrahigh harmonics in the keV x-ray regime from mid-infrared femtosecond lasers, Science 336, 1287 (2012).
  7. B. Schütte, P. Weber, K. Kovács, E. Balogh, Bázs Major, V. Tosa, S. Han, M. J. J. Vrakking, K. Varjú, and A. Rouzée, Bright attosecond soft x-ray pulse trains by transient phase-matching in two-color high-order harmonic generation, Opt. Express 23, 33947 (2015).
  8. P. Emma, R. Akre, J. Arthur et al., First lasing and operation of an ångstrom-wavelength free-electron laser, Nat. Photonics 4, 641 (2010).
  9. T. Ishikawa, H. Aoyagi, T. Asaka et al., A compact x-ray free-electron laser emitting in the sub-ångstrom region, Nat. Photonics 6, 540 (2012).
  10. E. Allaria, D. Castronovo, P. Cinquegrana et al., Two-stage seeded soft-x-ray free-electron laser, Nat. Photonics 7, 913 (2013).
  11. H.-S. Kang, C.-K. Min et al., Hard x-ray free-electron laser with femtosecond-scale timing jitter, Nat. Photonics 11, 708 (2017).
  12. W. Decking, S. Abeghyan, P. Abramian et al., A MHz-repetition-rate hard x-ray free-electron laser driven by a superconducting linear accelerator, Nat. Photonics 14, 391 (2020).
  13. C. J. Milne, T. Schietinger, M. Aiba et al., SwissFEL: The Swiss x-ray free electron laser, Appl. Sci. 7, 720 (2017).
  14. D. A. Jaroszynski, R. Prazeres, F. Glotin, and J. M. Ortega, Two-color free-electron laser operation, Phys. Rev. Lett. 72, 2387 (1994).
  15. Y. K. Wu, J. Yan, H. Hao, J. Y. Li, S. F. Mikhailov, V. G. Popov, N. A. Vinokurov, S. Huang, and J. Wu, Widely tunable two-color free-electron laser on a storage ring, Phys. Rev. Lett. 115, 184801 (2015).
  16. A. A. Lutman, R. Coffee, Y. Ding, Z. Huang, J. Krzywinski, T. Maxwell, M. Messerschmidt, and H.-D. Nuhn, Experimental demonstration of femtosecond two-color x-ray free-electron lasers, Phys. Rev. Lett. 110, 134801 (2013).
  17. T. Hara, Y. Inubushi, T. Katayama, T. Sato, H. Tanaka, T. Tanaka, T. Togashi, K. Togawa, K. Tono, M. Yabashi, and T. Ishikawa, Two-colour hard x-ray free-electron laser with wide tunability, Nat. Commun. 4, 2919 (2013).
  18. E. Prat, P. Dijkstal, E. Ferrari, R. Ganter, P. Juranić, A. Malyzhenkov, S. Reiche, T. Schietinger, G. Wang, A. A. Haddad, S. Augustin, C. Bostedt, G. Knopp, J. Knurr, A. S. Morillo-Candas, Z. Sun, and K. Schnorr, Widely tunable two-color x-ray free-electron laser pulses, Phys. Rev. Res. 4, L022025 (2022).
  19. S. Reiche and E. Prat, Two-color operation of a free-electron laser with a tilted beam, J. Synchrotron Radiat. 23, 869 (2016).
  20. A. A. Lutman, T. J. Maxwell, J. P. MacArthur, M. W. Guetg, N. Berrah, R. N. Coffee, Y. Ding, Z. Huang, A. Marinelli, S. Moeller, and J. C. U. Zemella, Fresh-slice multicolour x-ray free-electron lasers, Nat. Photonics 10, 745 (2016).
  21. M. W. Guetg, A. A. Lutman, Y. Ding, T. J. Maxwell, and Z. Huang, Dispersion-based fresh-slice scheme for free-electron lasers, Phys. Rev. Lett. 120, 264802 (2018).
  22. W. Qin, Y. Ding, A. A. Lutman, and Y.-C. Chao, Matching-based fresh-slice method for generating two-color x-ray free-electron lasers, Phys. Rev. Accel. Beams 20, 090701 (2017).
  23. Y.-C. Chao, W. Qin, Y. Ding, A. A. Lutman, and T. Maxwell, Control of the lasing slice by transverse mismatch in an x-ray free-electron laser, Phys. Rev. Lett. 121, 064802 (2018).
  24. T. Liu, K. Zhang, Z. Qi, S. Chen, C. Feng, H. Deng, B. Liu, and D. Wang, Matching-based two-color x-ray free-electron laser generation utilizing laser-plasma accelerated electron beam, High Power Laser Sci. Eng. 10, e1 (2022).
  25. G. Dattoli, N. S. Mirian, E. DiPalma, and V. Petrillo, Two-color free-electron laser with two orthogonal undulators, Phys. Rev. ST Accel. Beams 17, 050702 (2014).
  26. A. A. Lutman et al., Polarization control in an x-ray free-electron laser, Nat. Photonics 10, 468 (2016).
  27. J. Duris et al., Tunable isolated attosecond x-ray pulses with gigawatt peak power from a free-electron laser, Nat. Photonics 14, 30 (2020).
  28. Z. Guo et al., Experimental demonstration of attosecond pump–probe spectroscopy with an x-ray free-electron laser, Nat. Photonics 18, 691 (2024).
  29. C. Ronsivalle et al., Large-bandwidth two-color free-electron laser driven by a comb-like electron beam, New J. Phys. 16, 033018 (2014).
  30. A. Marinelli, D. Ratner, A. A. Lutman, J. Turner, J. Welch, F.-J. Decker, H. Loos, C. Behrens, S. Gilevich, A. A. Miahnahri, S. Vetter, T. J. Maxwell, Y. Ding, R. Coffee, S. Wakatsuki, and Z. Huang, High-intensity double-pulse x-ray free-electron laser, Nat. Commun. 6, 6369 (2015).
  31. Y. Ding, C. Behrens, R. Coffee, F.-J. Decker, P. Emma, C. Field, W. Helml, Z. Huang, P. Krejcik, J. Krzywinski, H. Loos, A. Lutman, A. Marinelli, T. J. Maxwell, and J. Turner, Generating femtosecond x-ray pulses using an emittance-spoiling foil in free-electron lasers, Appl. Phys. Lett. 107, 191104 (2015).
  32. A. Saá Hernández, E. Prat, and S. Reiche, Generation of two-color x-ray free-electron-laser pulses from a beam with a large energy chirp and a slotted foil, Phys. Rev. Accel. Beams 22, 030702 (2019).
  33. A. Marinelli, R. Coffee, S. Vetter, P. Hering, G. N. West, S. Gilevich, A. A. Lutman, S. Li, T. Maxwell, J. Galayda, A. Fry, and Z. Huang, Optical shaping of x-ray free-electron lasers, Phys. Rev. Lett. 116, 254801 (2016).
  34. P. Dijkstal, A. Malyzhenkov, S. Reiche, and E. Prat, Demonstration of two-color x-ray free-electron laser pulses with a sextupole magnet, Phys. Rev. Accel. Beams 23, 030703 (2020).
  35. C. Vicario, S. Bettoni, A. Lutman, A. Dax, M. Huppert, and A. Trisorio, Two-color x-ray free-electron laser by photocathode laser emittance spoiler, Phys. Rev. Accel. Beams 24, 060703 (2021).
  36. S. Bettoni, P. Craievich, A. Dax, R. Ganter, M. W. Guetg, M. Huppert, F. Marcellini, R. Neto Pestana, S. Reiche, E. Prat, A. Trisorio, C. Vicario, and A. A. Lutman, Experimental demonstration of two-color x-ray free-electron-laser pulses via wakefield excitation, Phys. Rev. Accel. Beams 24, 082801 (2021).
  37. A. Malyzhenkov, Y. P. Arbelo, P. Craievich, P. Dijkstal, E. Ferrari, S. Reiche, T. Schietinger, P. Juranić, and E. Prat, Single- and two-color attosecond hard x-ray free-electron laser pulses with nonlinear compression, Phys. Rev. Res. 2, 042018 (2020).
  38. C. Yang, Y. Liu, C. Feng, J. Wu, and W. Zhang, Single-pass synchronized two-color attosecond x-ray free-electron laser featuring attosecond time jitter, Phys. Rev. Res. 8, 023048 (2026).
  39. B. Mahieu, E. Allaria, D. Castronovo, M. B. Danailov, A. Demidovich, G. D. Ninno, S. D. Mitri, W. M. Fawley, E. Ferrari, L. Fröhlich, D. Gauthier, L. Giannessi, N. Mahne, G. Penco, L. Raimondi, S. Spampinati, C. Spezzani, C. Svetina, M. Trovò, and M. Zangrando, Two-colour generation in a chirped seeded free-electron laser: A close look, Opt. Express 21, 22728 (2013).
  40. G. De Ninno, B. Mahieu, E. Allaria, L. Giannessi, and S. Spampinati, Chirped seeded free-electron lasers: Self-standing light sources for two-color pump-probe experiments, Phys. Rev. Lett. 110, 064801 (2013).
  41. Z. Zhao, H. Li, and Q. Jia, Generation of coherent two-color pulses at two adjacent harmonics in a seeded free-electron laser, Phys. Rev. Accel. Beams 21, 020701 (2018).
  42. A. A. Lutman, F.-J. Decker, J. Arthur, M. Chollet, Y. Feng, J. Hastings, Z. Huang, H. Lemke, H.-D. Nuhn, A. Marinelli, J. L. Turner, S. Wakatsuki, J. Welch, and D. Zhu, Demonstration of single-crystal self-seeded two-color x-ray free-electron lasers, Phys. Rev. Lett. 113, 254801 (2014).
  43. S. Roling, S. Braun, P. Gawlitza, M. Wöstmann, E. Ziegler, and H. Zacharias, Tunable two-color hard x-ray multilayer Bragg mirrors, Opt. Lett. 39, 2782 (2014).
  44. C. Wu, C. Yang, Y. Zhu, K. Hu, Z. Xing, Z. Xu, J. Wu, and W. Zhang, X-ray pulse compressors in Laue diffraction geometry, Opt. Lett. 50, 113 (2025).
  45. E. Allaria, F. Bencivenga, R. Borghes, F. Capotondi, D. Castronovo, P. Charalambous, P. Cinquegrana, M. Danailov, G. Ninno, A. Demidovich, S. Di Mitri, B. Diviacco, D. Fausti, W. Fawley, E. Ferrari, L. Fröhlich, D. Gauthier, A. Gessini, L. Giannessi, and M. Zangrando, Two-colour pump—probe experiments with a twin- pulse-seed extreme ultraviolet free-electron laser, Nat. Commun, 4, 2476 (2013).
  46. E. Ferrari, C. Spezzani, F. Fortuna, R. Delaunay, F. Vidal, I. Nikolov, P. Cinquegrana, B. Diviacco, D. Gauthier, G. Penco, P. Ribič, E. Roussel, M. Trovò, J.-B. Moussy, T. Pincelli, L. Lounis, M. Manfredda, E. Pedersoli, F. Capotondi, and M. Sacchi, Widely tunable two-colour seeded free-electron laser source for resonant-pump resonant-probe magnetic scattering, Nat. Commun. 7, 10343 (2016).
  47. C. Yang, K. Hu, Y. Zhu, X. Wang, Q. Li, Z. Xu, J. Wu, and W. Zhang, Dispersion caused by the penetration effect in x-ray compressors, Photonics 10, 484 (2023).
  48. S. Reiche, Genesis 1.3: A fully 3D time-dependent FEL simulation code, Nucl. Instrum. Methods Phys. Res., Sect. A 429, 243 (1999).
  49. Y. Zhu, C. Yang, K. Hu, C. Wu, J. Luo, Z. Hao, Z. Xing, Q. Li, Z. Xu, and W. Zhang, Furion: Modeling of FEL pulses propagation in dispersive soft x-ray beamline systems, Opt. Express 32, 5031 (2024).
  50. K. Hu, Z. Xing, C. Yang, Y. Zhu, C. Wu, Z. Xu, Q. Wang, and W. Zhang, Modeling of x-ray pulse propagation in beamline systems using a 6D phase space ray-tracing method, J. Synchrotron Radiat. 32, 942 (2025).
  51. Y. Shvyd’ko and R. Lindberg, Spatiotemporal response of crystals in x-ray Bragg diffraction, Phys. Rev. ST Accel. Beams 15, 100702 (2012).

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Phys. Rev. Accel. Beams 29, 060701– Published 11 June, 2026
  • Received 25 July 2025
  • Accepted 9 April 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.

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