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  • Open Access

Simulations of single-cycle waveform control of undulator radiation

Jenny Morgan*, Nicholas Sudar, Claudio Emma, and Agostino Marinelli

  • *Contact author: jmorgan@slac.stanford.edu

Phys. Rev. Accel. Beams 29, 093404 – Published 25 September, 2026

DOI: https://doi.org/10.1103/g653-qmwq

Abstract

We show that plasma-accelerated electron beams enable single-cycle control of undulator radiation, including control of its polarization and time-frequency structure as described by the Wigner distribution. Using the ultrashort, high-current electron bunch produced by a plasma-wakefield accelerator reported in Emma et al. Terawatt attosecond x-ray source driven by a plasma accelerator, APL Photonics 6, 076107 (2021), we consider the regime in which the resonant radiation wavelength exceeds the effective bunch length, so that emission is coherently generated within each undulator period and follows the undulator magnetic waveform. This allows subcycle control of the electric field through undulator design, effectively turning the undulator into a tunable source of waveform-shaped radiation. Using numerical simulations, we model two compact undulator configurations: a linearly tapered undulator that produces a chirped optical waveform, and an undulator that generates radiation with controlled, cycle-to-cycle polarization variation. Together, these results establish a route to subcycle waveform and polarization control of ultrashort radiation.

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References (36)

  1. E. Allaria, R. Appio, L. Badano, W. Barletta, S. Bassanese, S. Biedron, A. Borga, E. Busetto, D. Castronovo, P. Cinquegrana et al., Highly coherent and stable pulses from the fermi seeded free-electron laser in the extreme ultraviolet, Nat. Photonics 6, 699 (2012).
  2. W. a. Ackermann, G. Asova, V. Ayvazyan, A. Azima, N. Baboi, J. Bähr, V. Balandin, B. Beutner, A. Brandt, A. Bolzmann et al., Operation of a free-electron laser from the extreme ultraviolet to the water window, Nat. Photonics 1, 336 (2007).
  3. 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. Photonics 4, 641 (2010).
  4. 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).
  5. 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. Photonics 11, 708 (2017).
  6. E. Prat, R. Abela, M. Aiba, A. Alarcon, J. Alex, Y. Arbelo, C. Arrell, V. Arsov, C. Bacellar, C. Beard et al., A compact and cost-effective hard x-ray free-electron laser driven by a high-brightness and low-energy electron beam, Nat. Photonics 14, 748 (2020).
  7. C. Pellegrini, A. Marinelli, and S. Reiche, The physics of x-ray free-electron lasers, Rev. Mod. Phys. 88, 015006 (2016).
  8. E. Hemsing, G. Stupakov, D. Xiang, and A. Zholents, Beam by design: Laser manipulation of electrons in modern accelerators, Rev. Mod. Phys. 86, 897 (2014).
  9. A. Marinelli, D. Ratner, A. Lutman, J. Turner, J. Welch, F.-J. Decker, H. Loos, C. Behrens, S. Gilevich, A. Miahnahri et al., High-intensity double-pulse x-ray free-electron laser, Nat. Commun. 6, 6369 (2015).
  10. 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 et al., Fresh-slice multicolour x-ray free-electron lasers, Nat. Photonics 10, 745 (2016).
  11. J. Duris, S. Li, T. Driver, E. G. Champenois, J. P. MacArthur, A. A. Lutman, Z. Zhang, P. Rosenberger, J. W. Aldrich, R. Coffee et al., Tunable isolated attosecond x-ray pulses with gigawatt peak power from a free-electron laser, Nat. Photonics 14, 30 (2020).
  12. Z. Guo, T. Driver, S. Beauvarlet, D. Cesar, J. Duris, P. L. Franz, O. Alexander, D. Bohler, C. Bostedt, V. Averbukh et al., Experimental demonstration of attosecond pump–probe spectroscopy with an x-ray free-electron laser, Nat. Photonics 18, 691 (2024).
  13. E. Prat, A. Al Haddad, C. Arrell, S. Augustin, M. Boll, C. Bostedt, M. Calvi, A. L. Cavalieri, P. Craievich, A. Dax et al., An x-ray free-electron laser with a highly configurable undulator and integrated chicanes for tailored pulse properties, Nat. Commun. 14, 5069 (2023).
  14. J. Yan, W. Qin, Y. Chen, W. Decking, P. Dijkstal, M. Guetg, I. Inoue, N. Kujala, S. Liu, T. Long et al., Terawatt-attosecond hard x-ray free-electron laser at high repetition rate, Nat. Photonics 18, 1293 (2024).
  15. R. R. Robles, K. A. Larsen, D. Cesar, T. Driver, J. Duris, P. Franz, D. Garratt, V. Guo, G. Just, R. Lemons et al., Spectrotemporal shaping of attosecond x-ray pulses with a fresh-slice free-electron laser, Phys. Rev. Lett. 134, 115001 (2025).
  16. W. Hu, G. Aeppli, C. Arrell, M. Calvi, S. Carbajo, A. Dax, Y. Deng, P. Dijkstal, D. Dunning, S. Gerber et al., Demonstration of mode-locked frequency comb for an x-ray free-electron laser, Phys. Rev. Lett. 135, 265001 (2025).
  17. E. Esarey, C. B. Schroeder, and W. P. Leemans, Physics of laser-driven plasma-based electron accelerators, Rev. Mod. Phys. 81, 1229 (2009).
  18. C. Lindstrøm, S. Corde, R. d’Arcy, S. Gessner, M. Gilljohann, M. Hogan, and J. Osterhoff, Beam-driven plasma-wakefield acceleration, arXiv:2504.05558.
  19. B. Hidding, G. Pretzler, J. B. Rosenzweig, T. Königstein, D. Schiller, and D. L. Bruhwiler, Ultracold electron bunch generation via plasma photocathode emission and acceleration in a beam-driven plasma blowout, Phys. Rev. Lett. 108, 035001 (2012).
  20. X. L. Xu, F. Li, W. An, T. N. Dalichaouch, P. Yu, W. Lu, C. Joshi, and W. B. 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).
  21. C. Emma, X. Xu, A. Fisher, R. Robles, J. P. MacArthur, J. Cryan, M. J. Hogan, P. Musumeci, G. White, and A. Marinelli, Terawatt attosecond x-ray source driven by a plasma accelerator, APL Photonics 6, 076107 (2021).
  22. R. Hessami, J. Morgan, R. Robles, K. A. Larsen, A. Marinelli, and C. Emma, Wavelength scaling and multicolor operation of a plasma-driven attosecond x-ray source via harmonic generation, Phys. Rev. Accel. Beams 27, 070701 (2024).
  23. S. M. Cavaletto, D. Keefer, J. R. Rouxel, F. Aleotti, F. Segatta, M. Garavelli, and S. Mukamel, Unveiling the spatial distribution of molecular coherences at conical intersections by covariance x-ray diffraction signals, Proc. Natl. Acad. Sci. U.S.A. 118, e2105046118 (2021).
  24. O. Neufeld, N. Tancogne-Dejean, U. De Giovannini, H. Hübener, and A. Rubio, Attosecond magnetization dynamics in non-magnetic materials driven by intense femtosecond lasers, npj Comput. Mater. 9, 39 (2023).
  25. Z. Tibai, G. Tóth, M. Mechler, J. Fülöp, G. Almási, and J. Hebling, Proposal for carrier-envelope-phase stable single-cycle attosecond pulse generation in the extreme-ultraviolet range, Phys. Rev. Lett. 113, 104801 (2014).
  26. G. Shamuilov, A. Mak, P. Salén, and V. Goryashko, Analytical model of waveform-controlled single-cycle light pulses from an undulator, Opt. Lett. 43, 819 (2018).
  27. A. Hofmann, The Physics of Synchrotron Radiation (Cambridge University Press, Cambridge, UK, 2004), Vol. 20.
  28. L. T. Campbell and B. W. J. McNeil, Puffin: A three dimensional, unaveraged free electron laser simulation code, Phys. Plasmas 19, 093119 (2012).
  29. F. Arecchi and R. Bonifacio, Theory of optical maser amplifiers, IEEE J. Quantum Electron. 1, 169 (1965).
  30. S. Reiche, Genesis 1.3: A fully 3D time-dependent FEL simulation code, Nucl. Instrum. Methods Phys. Res., Sect. A 429, 243 (1999).
  31. W. M. Fawley, in Proceedings of FEL, BESSY, Berlin, Germany (JACoW, Geneva, Switzerland, 2006), pp. 218–221.
  32. P. Traczykowski, L. Campbell, and B. McNeil, Up-sampling of electron beam simulation particles with addition of shot-noise, Comput. Phys. Commun. 286, 108661 (2023).
  33. P. Elleaume, O. Chubar, and J. Chavanne, Computing 3d magnetic fields from insertion devices, in Proceedings of the 1997 particle accelerator conference (Cat. No. 97CH36167) (IEEE, New York, NY, USA, 1997), Vol. 3, pp. 3509–3511.
  34. O. Chubar, P. Elleaume, and J. Chavanne, A 3D magnetostatics computer code for insertion devices, J. Synchrotron. Rad. 5, 481 (1998).
  35. K. Halbach, Application of permanent magnets in accelerators and electron storage rings (invited), J. Appl. Phys. 57, 3605 (1984).
  36. J. A. Clarke, The Science and Technology of Undulators and Wigglers (Oxford University, Oxford, 2004), Vol. 4.

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