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
  • Letter
  • Open Access

Few-cycle vortices from superradiant nonlinear Thomson scattering by a relativistic chirped mirror

B. H. Schaap1,*, P. W. Smorenburg2, and O. J. Luiten1

  • 1Department of Applied Physics, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands
  • 2ASML Netherlands B.V., P.O. Box 324, 5500 AH Veldhoven, The Netherlands

  • *b.h.schaap@tue.nl

Phys. Rev. Research 5, L032034 – Published 12 September, 2023

DOI: https://doi.org/10.1103/PhysRevResearch.5.L032034

Abstract

We propose a scheme to generate few-cycle vortices based on nonlinear Thomson scattering by microbunched electrons from a circularly polarized laser pulse with chirped frequency. At sufficiently high intensities, the generation of harmonics that carry orbital angular momentum occurs. At the same time, the electrons collectively act as a relativistic chirped mirror, which superradiantly reflects a chosen harmonic into a single localized beat. Calculations show that a few-cycle soft x-ray vortex with gigawatt peak power can be generated if this scheme is applied to a pC electron bunch with a few MeV kinetic beam energy.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (37)

  1. L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes, Phys. Rev. A 45, 8185 (1992).
  2. M. F. Andersen, C. Ryu, P. Cladé, V. Natarajan, A. Vaziri, K. Helmerson, and W. D. Phillips, Quantized Rotation of Atoms from Photons with Orbital Angular Momentum, Phys. Rev. Lett. 97, 170406 (2006).
  3. A. Alexandrescu, D. Cojoc, and E. Di Fabrizio, Mechanism of Angular Momentum Exchange between Molecules and Laguerre-Gaussian Beams, Phys. Rev. Lett. 96, 243001 (2006).
  4. T. Kuga, Y. Torii, N. Shiokawa, T. Hirano, Y. Shimizu, and H. Sasada, Novel Optical Trap of Atoms with a Doughnut Beam, Phys. Rev. Lett. 78, 4713 (1997).
  5. M. Padgett and R. Bowman, Tweezers with a twist, Nat. Photon. 5, 343 (2011).
  6. J. Wang, J. Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. E. Willner, Terabit free-space data transmission employing orbital angular momentum multiplexing, Nat. Photon. 6, 488 (2012).
  7. S. Fürhapter, A. Jesacher, S. Bernet and M. Ritsch-Marte, Spiral interferometry, Opt. Lett. 30, 1953 (2005).
  8. B. Jack, J. Leach, J. Romero, S. Franke-Arnold, M. Ritsch-Marte, S. M. Barnett, and M. J. Padgett, Holographic Ghost Imaging and the Violation of a Bell Inequality, Phys. Rev. Lett. 103, 083602 (2009).
  9. J. Leach, B. Jack, J. Romero, A. K. Jha, A. M. Yao, S. Franke-Arnold, D. G. Ireland, R. W. Boyd, S. M. Barnett, and M. J. Padgett, Quantum correlations in optical angle-orbital angular momentum variables, Science 329, 662 (2010).
  10. M. Malik, M. Erhard, M. Huber, M. Krenn, R. Fickler, and A. Zeilinger, Multi-photon entanglement in high dimensions, Nat. Photon. 10, 248 (2016).
  11. M. van Veenendaal and I. McNulty, Prediction of Strong Dichroism Induced by X Rays Carrying Orbital Momentum, Phys. Rev. Lett. 98, 157401 (2007).
  12. C. Stamm, N. Pontius, T. Kachel, M. Wietstruk, and H. A. Dürr, Femtosecond x-ray absorption spectroscopy of spin and orbital angular momentum in photoexcited Ni films during ultrafast demagnetization, Phys. Rev. B 81, 104425 (2010).
  13. A. Picón, J. Mompart, J. R. Vázquez de Aldana, L. Plaja, G. F. Calvo, L. Roso, L. Allen, M. V. Beijersbergen, R. J. C Spreeuw, and J. P. Woerdman, Photoionization with orbital angular momentum beams, Opt. Express 18, 3660 (2010).
  14. M. Hentschel, R. Kienberger, C. Spielmann, G. A. Reider, N. Milosevic, T. Brabec, P. Corkum, U. Heinzmann, M. Drescher, and F. Krausz, Attosecond metrology, Nature (London) 414, 509 (2001).
  15. A. P. Mancuso, A. G. Peele, B. Lai, C. Q. Tran, D. Paterson, E. Harvey, I. McNulty, J. P. Hayes, K. A. Nugent, and P. J. McMahon, Observation of an x-ray vortex, Opt. Lett. 27, 1752 (2002).
  16. K. Sueda, G. Miyaji, N. Miyanaga, M. Nakatsuka, L. Allen, M. W. Beijersbergen, R. J. C Spreeuw, and J. P. Woerdman, Laguerre-Gaussian beam generated with a multilevel spiral phase plate for high intensity laser pulses, Opt. Express 12, 3548 (2004).
  17. M. Zürch, C. Kern, P. Hansinger, A. Dreischuh, and C. Spielmann, Strong-field physics with singular light beams, Nat. Phys. 8, 743 (2012).
  18. C. Hernández-García, A. Picón, J. San Román, and L. Plaja, Attosecond Extreme Ultraviolet Vortices from High-Order Harmonic Generation, Phys. Rev. Lett. 111, 083602 (2013).
  19. G. Gariepy, J. Leach, K. T. Kim, T. J. Hammond, E. Frumker, R. W. Boyd, and P. B. Corkum, Creating High-Harmonic Beams with Controlled Orbital Angular Momentum, Phys. Rev. Lett. 113, 153901 (2014).
  20. A. D. Shiner, C. Trallero-Herrero, N. Kajumba, H. C. Bandulet, D. Comtois, F. Légaré, M. Giguère, J. C. Kieffer, P. B. Corkum, and D. M. Villeneuve, Wavelength Scaling of High Harmonic Generation Efficiency, Phys. Rev. Lett. 103, 073902 (2009).
  21. G. Sansone, L. Poletto, and M. Nisoli, High-energy attosecond light sources, Nat. Photon. 5, 655 (2011).
  22. J. Bahrdt, K. Holldack, P. Kuske, R. Müller, M. Scheer, and P. Schmid, First Observation of Photons Carrying Orbital Angular Momentum in Undulator Radiation, Phys. Rev. Lett. 111, 034801 (2013).
  23. E. Hemsing, A. Knyazik, M. Dunning, D. Xiang, A. Marinelli, C. Hast, and J. B. Rosenzweig, Coherent optical vortices from relativistic electron beams, Nat. Phys. 9, 549 (2013).
  24. P. R. Ribič, B. Rösner, D. Gauthier, E. Allaria, F. Döring, L. Foglia, L. Giannessi, N. Mahne, M. Manfredda, C. Masciovecchio, R. Mincigrucci, N. Mirian, E. Principi, E. Roussel, A. Simoncig, S. Spampinati, C. David, and G. De Ninno, Extreme-Ultraviolet Vortices from a Free-Electron Laser, Phys. Rev. X 7, 031036 (2017).
  25. Y. Taira, T. Hayakawa, and M. Katoh, Gamma-ray vortices from nonlinear inverse Thomson scattering of circularly polarized light, Sci. Rep. 7, 5018 (2017).
  26. E. Esarey, S. K. Ride, and P. Sprangle, Nonlinear Thomson scattering of intense laser pulses from beams and plasmas, Phys. Rev. E 48, 3003 (1993).
  27. B. H. Schaap, P. W. Smorenburg, and O. J. Luiten, Isolated attosecond x-ray pulses from superradiant thomson scattering by a relativistic chirped electron mirror, Sci. Rep. 12, 19727 (2022).
  28. J. D. Jackson, Classical electrodynamics, 3rd ed. (1998).
  29. V. Petrillo, A. Bacci, C. Curatolo, I. Drebot, A. Giribono, C. Maroli, A. R. Rossi, L. Serafini, P. Tomassini, C. Vaccarezza, and A. Variola, Polarization of x-gamma radiation produced by a Thomson and Compton inverse scattering, Phys. Rev. ST Accel. Beams 18, 110701 (2015).
  30. W. S. Graves, F. X. Kärtner, D. E. Moncton, and P. Piot, Intense Superradiant X Rays from a Compact Source Using a Nanocathode Array and Emittance Exchange, Phys. Rev. Lett. 108, 263904 (2012).
  31. B. H. Schaap, T. D. C. de Vos, P. W. Smorenburg, and O. J. Luiten, Photon yield of superradiant inverse Compton scattering from microbunched electrons, New J. Phys. 24, 033040 (2022).
  32. J. Duris, S. Li, T. Driver, E. G. Champenois, J. P. MacArthur, A. A. Lutman, Z. Zhang, P. Rosenberger, J. W. Aldrich, R. Coffee, G. Coslovich, F. J. Decker, J. M. Glownia, G. Hartmann, W. Helml, A. Kamalov, J. Knurr, J. Krzywinski, M. F. Lin, J. P. Marangos et al., Tunable isolated attosecond x-ray pulses with gigawatt peak power from a free-electron laser, Nat. Photon. 14, 30 (2020).
  33. T. Tanaka, Proposal to Generate an Isolated Monocycle X-Ray Pulse by Counteracting the Slippage Effect in Free-Electron Lasers, Phys. Rev. Lett. 114, 044801 (2015).
  34. D. Gauthier, P. R. Ribic, G. Adhikary, A. Camper, C. Chappuis, R. Cucini, L. F. Dimauro, G. Dovillaire, F. Frassetto, R. Géneaux, P. Miotti, L. Poletto, B. Ressel, C. Spezzani, M. Stupar, T. Ruchon, and G. De Ninno, Tunable orbital angular momentum in high-harmonic generation, Nat. Commun. 8, 14971 (2017).
  35. M. Kozák, T. Eckstein, N. Schönenberger, and P. Hommelhoff, Inelastic ponderomotive scattering of electrons at a high-intensity optical travelling wave in vacuum, Nat. Phys. 14, 121 (2018).
  36. B. H. Schaap, C. W. Sweers, P. W. Smorenburg, and O. J. Luiten, Ponderomotive bunching of a relativistic electron beam for a superradiant Thomson source, Phys. Rev. Accel. Beams 26, 074401 (2023).
  37. N. Schönenberger, A. Mittelbach, P. Yousefi, J. McNeur, U. Niedermayer, and P. Hommelhoff, Generation and Characterization of Attosecond Microbunched Electron Pulse Trains via Dielectric Laser Acceleration, Phys. Rev. Lett. 123, 264803 (2019).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation