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
  • Open Access

First steps on plasma beam prebuncher for free electron lasers through more suitable relativistic reference-frame-based particle-in-cell tools

Driss Oumbarek Espinos1,*, Alexei Zhidkov2,3,†, Alexandre Rondepierre2,3, Masafumi Tawada1, and Mika Masuzawa1

  • 1KEK, 1-1 Oho, Tsukuba, Ibaraki 305-0801, Japan
  • 2Institute of Scientific and Industrial Research (SANKEN), Osaka University, 8-1 Mihogaoka, Ibaraki, 565-0871 Osaka, Japan
  • 3Laser Accelerator R&D, Innovative Light Sources Division, RIKEN SPring-8 Center, 1-1-1, Kouto, Sayo-cho, Sayo-gun, Hyogo, 679-5148 Osaka, Japan

  • *Contact author: doumbare@post.kek.jp
  • †Present address: National Research Nuclear University MEPhl, 115409, Kashirskoe av., 31, Moscow, Russia.

Phys. Rev. Accel. Beams 28, 060702 – Published 27 June, 2025

DOI: https://doi.org/10.1103/21b2-2gv5

Abstract

Particle-in-cell simulations are widely used in most fields of physics to investigate known and new phenomena which cannot be directly observed or measured yet. However, the computational and time resources needed for PICs make them impractical when high resolution and long time/distance simulations are required. In this work, we present a new PIC simulation code that takes advantage of the use of a relativistic reference frame and consequent time dilation and length contraction. These properties make a simulation capable of long (meter length) and high resolution simulations without the need for supercomputers. This new code is a step forward with regard to the previous tries enabling complex multiple body situations without additional filtering and smoothing of fields and currents. The usefulness of the relativistic frame PIC code is displayed by simulating electron beam bunching obtained in long undulator propagation and also the potential as a beam ”buncher” of 10 s of cm long low-density plasmas.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (60)

  1. C. Joshi, S. Corde, and W. Mori, Perspectives on the generation of electron beams from plasma-based accelerators and their near and long term applications, Phys. Plasmas 27, 070602 (2020).
  2. C. E. Doss, E. Adli, R. Ariniello, J. Cary, S. Corde, B. Hidding, M. J. Hogan, K. Hunt-Stone, C. Joshi, K. A. Marsh et al., Laser-ionized, beam-driven, underdense, passive thin plasma lens, Phys. Rev. Accel. Beams 22, 111001 (2019).
  3. N. Pathak, A. Zhidkov, D. O. Espinos, and T. Hosokai, Focusing and reduction of correlated energy spread of chirped electron beams in passive plasma lens, Phys. Plasmas 30, 063103 (2023).
  4. P. Luchini and H. Motz, Undulators and ree-Electron Lasers (Oxford University Press, New York, 1990).
  5. J. Rosenzweig, N. Majernik, R. Robles, G. Andonian, O. Camacho, A. Fukasawa, A. Kogar, G. Lawler, J. Miao, P. Musumeci et al., An ultra-compact x-ray free-electron laser, New J. Phys. 22, 093067 (2020).
  6. M. V. Kuzelev and A. A. Rukhadze, Basics of Plasma Free Electron Lasers (Atlantica Séguier Frontières, Gif-sur-Yvette, France, 1995).
  7. S. Rykovanov, C. Schroeder, E. Esarey, C. Geddes, and W. Leemans, Plasma undulator based on laser excitation of wakefields in a plasma channel, Phys. Rev. Lett. 114, 145003 (2015).
  8. S. Reiche and B. Faatz, Status of the 3D time-dependent FEL simulation code GENESIS 1.3, in Contributions to the FEL2001 Conference, Darmstadt, Germany, 2001 (2001).
  9. T. Tanaka, Simplex: Simulator and postprocessor for free-electron laser experiments, J. Synchrotron Radiat. 22, 1319 (2015).
  10. K. Floettmann, A Space Charge Tracking Algorithm Astra (2007), https://www.desy.de/~mpyflo/.
  11. A. B. Langdon, Evolution of particle-in-cell plasma simulation, IEEE Trans. Plasma Sci. 42, 1317 (2014).
  12. C. K. Birdsall and A. B. Langdon, Plasma Physics via Computer Simulation (CRC press, Boca Raton, FL, 1991).
  13. A. Zhidkov and A. Sasaki, Hybrid particle-in-cell (pic) simulation of heat transfer and ionization balance in overdense plasmas irradiated by subpicosecond pulse lasers, JAERI Technical Report No. JAERI-Research--98-068, 1998, p. 57.
  14. D. Oumbarek Espinos, A. Zhidkov, and R. Kodama, Langevin equation for coulomb collision in non-maxwellian plasmas, Phys. Plasmas 25, 072307 (2018).
  15. Y. Sentoku and A. J. Kemp, Numerical methods for particle simulations at extreme densities and temperatures: Weighted particles, relativistic collisions and reduced currents, J. Comput. Phys. 227, 6846 (2008).
  16. W. L. Kruer, The Physics of Laser Plasma Interaction (Addison-Wesley, New York, 1988).
  17. N. Nikitin, Third-order-accurate semi-implicit Runge–Kutta scheme for incompressible Navier–Stokes equations, Int. J. Numer. Methods Fluids 51, 221 (2006).
  18. W. F. Van Gunsteren and H. J. Berendsen, A leap-frog algorithm for stochastic dynamics, Mol. Simul. 1, 173 (1988).
  19. N. Pathak, A. Zhidkov, and T. Hosokai, Effect of pulse group velocity on charge loading in laser wakefield acceleration, Phys. Lett. A 425, 127873 (2022).
  20. T. Z. Esirkepov, Exact charge conservation scheme for particle-in-cell simulation with an arbitrary form-factor, Comput. Phys. Commun. 135, 144 (2001).
  21. T. Tajima, Computational Plasma Physics: With Applications to Fusion and Astrophysics (CRC press, Boca Raton, FL, 2018).
  22. A. F. Lifschitz, X. Davoine, E. Lefebvre, J. Faure, C. Rechatin, and V. Malka, Particle-in-cell modelling of laser–plasma interaction using fourier decomposition, J. Comput. Phys. 228, 1803 (2009).
  23. 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).
  24. J. M. Madey, Stimulated emission of bremsstrahlung in a periodic magnetic field, J. Appl. Phys. 42, 1906 (1971).,
  25. L. R. Elias, W. M. Fairbank, J. M. Madey, H. A. Schwettman, and T. I. Smith, Observation of stimulated emission of radiation by relativistic electrons in a spatially periodic transverse magnetic field, Phys. Rev. Lett. 36, 717 (1976).
  26. A. Zhidkov, J. Koga, T. Hosokai, K. Kinoshita, and M. Uesaka, Effects of plasma density on relativistic self-injection for electron laser wake-field acceleration, Phys. Plasmas 11, 5379 (2004).
  27. A. Zhidkov, T. Fujii, and K. Nemoto, Electron self-injection during interaction of tightly focused few-cycle laser pulses with underdense plasma, Phys. Rev. E 78, 036406 (2008).
  28. A. Friedman, D. A. Callahan, D. P. Grote, A. B. Langdon, and I. Haber, Warp: A 3d (+) pic code for Hif simulations, Lawrence Livermore National Lab.(LLNL), Livermore, CA, Technical Report No. UCRL-102907; No. CONF-900163-6; No. ON: DE90008368, 1990.
  29. J.-L. Vay, Noninvariance of space-and time-scale ranges under a Lorentz transformation and the implications for the study of relativistic interactions, Phys. Rev. Lett. 98, 130405 (2007).
  30. M. Kirchen, R. Lehe, B. B. Godfrey, I. Dornmair, S. Jalas, K. Peters, J.-L. Vay, and A. R. Maier, Stable discrete representation of relativistically drifting plasmas, Phys. Plasmas 23, 100704 (2016).
  31. R. Lehe, M. Kirchen, B. B. Godfrey, A. R. Maier, and J.-L. Vay, Elimination of numerical Cherenkov instability in flowing-plasma particle-in-cell simulations by using galilean coordinates, Phys. Rev. E 94, 053305 (2016).
  32. L. Fedeli, A. Huebl, F. Boillod-Cerneux, T. Clark, K. Gott, C. Hillairet, S. Jaure, A. Leblanc, R. Lehe, A. Myers et al., Pushing the frontier in the design of laser-based electron accelerators with groundbreaking mesh-refined particle-in-cell simulations on exascale-class supercomputers, in Proceedings of the SC22: International Conference for High Performance Computing, Networking, Storage and Analysis (IEEE, New York, NY, 2022), pp. 1–12, 10.1109/SC41404.2022.00008.
  33. J.-L. Vay, C. G. Geddes, E. Cormier-Michel, and D. P. Grote, Effects of hyperbolic rotation in Minkowski space on the modeling of plasma accelerators in a Lorentz boosted frame, Phys. Plasmas 18, 030701 (2011).
  34. J.-L. Vay, Simulation of beams or plasmas crossing at relativistic velocity, Phys. Plasmas 15, 056701 (2008).
  35. J.-L. Vay, C. G. Geddes, E. Cormier-Michel, and D. P. Grote, Numerical methods for instability mitigation in the modeling of laser wakefield accelerators in a Lorentz-boosted frame, J. Comput. Phys. 230, 5908 (2011).
  36. W. Fawley and J.-L. Vay, Full electromagnetic fel simulation via the Lorentz-boosted frame transformation, in Proceedings of the 32nd International Free Electron Laser Conference FEL, Malmo, Sweden, 2010 (2010), https://www.osti.gov/biblio/991033.
  37. R. A. Fonseca, L. O. Silva, F. S. Tsung, V. K. Decyk, W. Lu, C. Ren, W. B. Mori, S. Deng, S. Lee, T. Katsouleas et al., OSIRIS: A three-dimensional, fully relativistic particle in cell code for modeling plasma based accelerators, in Proceedings of the Computational Science-ICCS 2002: International Conference Amsterdam, The Netherlands, 2002 Proceedings, Part III (Springer, Manhattan, NY, 2002), Vol. 2, pp. 342–351.
  38. S. F. Martins, R. Fonseca, W. Lu, W. B. Mori, and L. Silva, Exploring laser-wakefield-accelerator regimes for near-term lasers using particle-in-cell simulation in Lorentz-boosted frames, Nat. Phys. 6, 311 (2010).
  39. S. F. Martins, R. A. Fonseca, L. O. Silva, W. Lu, and W. B. Mori, Numerical simulations of laser wakefield accelerators in optimal Lorentz frames, Comput. Phys. Commun. 181, 869 (2010).
  40. X. Davoine, F. Fiúza, R. Fonseca, W. B. Mori, and L. Silva, Ion-channel laser growth rate and beam quality requirements, J. Plasma Phys. 84, 905840304 (2018).
  41. A. Pukhov, X-dispersionless Maxwell solver for plasma-based particle acceleration, J. Comput. Phys. 418, 109622 (2020).
  42. B. B. Godfrey and J.-L. Vay, Suppressing the numerical Cherenkov instability in FDTD PIC codes, J. Comput. Phys. 267, 1 (2014).
  43. A. Friedman, A second-order implicit particle mover with adjustable damping, J. Comput. Phys. 90, 292 (1990).
  44. B. B. Godfrey and J.-L. Vay, Improved numerical Cherenkov instability suppression in the generalized PSTD PIC algorithm, Comput. Phys. Commun. 196, 221 (2015).
  45. A. Zhidkov, K. Nemoto, T. Nayuki, Y. Oishi, and T. Fuji, Giant electromagnetic vortex and MeV monoenergetic electrons generated by short laser pulses in underdense plasma near quarter critical density region, Phys. Rev. E 76, 016401 (2007).
  46. Y. Sentoku, T. Z. Esirkepov, K. Mima, K. Nishihara, F. Califano, F. Pegoraro, H. Sakagami, Y. Kitagawa, N. Naumova, and S. Bulanov, Bursts of superreflected laser light from inhomogeneous plasmas due to the generation of relativistic solitary waves, Phys. Rev. Lett. 83, 3434 (1999).
  47. A. Zhidkov and D. Oumbarek Espinos, EPHEMER (electron and plasma high-efficiency model within electromagnetic-fields in a relativistic-reference-frame) code (2023).
  48. R. Bonifacio, C. Pellegrini, and L. Narducci, Collective instabilities and high-gain regime in a free electron laser, Opt. Commun. 50, 373 (1984).
  49. J. Villasenor and O. Buneman, Rigorous charge conservation for local electromagnetic field solvers, Comput. Phys. Commun. 69, 306 (1992).
  50. A. Kondratenko and E. Saldin, Generating of coherent radiation by a relativistic electron beam in an ondulator, Part. Accel. 10, 207 (1980).
  51. H. A. Lorentz, Deux mémoires de henri poincaré sur la physique mathématique, Acta Math. 38, 293 (1915).
  52. C. Pellegrini and S. Reiche, Lasers, free-electron, in The Optics Encyclopedia, 1st ed. (Wiley-VCH, Germany, 2007), 10.1002/9783527600441.
  53. C. J. Doppler, Ueber das farbige Licht der Doppelsterne und einiger anderer Gestirne des Himmels [About the coloured light of the binary stars and some other stars of the heavens], in Abhandlungen der Königl. Böhm. Gesellschaft der Wissenschaften [Proceedings of the Royal Bohemian Society of Sciences. Part V] (Prague, 1842), Vol. 2, pp. 465–482.
  54. T. Ohkubo, S. Bulanov, A. Zhidkov, T. Esirkepov, J. Koga, M. Uesaka, and T. Tajima, Wave-breaking injection of electrons to a laser wake field in plasma channels at the strong focusing regime, Phys. Plasmas 13, 103101 (2006).
  55. T. Ohkubo, A. Zhidkov, T. Hosokai, K. Kinoshita, and M. Uesaka, Effects of density gradient on short-bunch injection by wave breaking in the laser wake field acceleration, Phys. Plasmas 13, 033110 (2006).
  56. R. Bonifacio, L. De Salvo, and P. Pierini, Large harmonic bunching in a high-gain free-electron laser, Nucl. Instrum. Methods Phys. Res., Sect. A 293, 627 (1990).
  57. M. Xie, Design optimization for an x-ray free electron laser driven by slac linac, in Proceedings Particle Accelerator Conference (IEEE, New York, NY, 1995), Vol. 1, pp. 183–185, 10.1109/PAC.1995.504603.
  58. K.-J. Kim, An analysis of self-amplified spontaneous emission, Nucl. Instrum. Methods Phys. Res., Sect. A 250, 396 (1986).
  59. J. Rosenzweig and P. Chen, Beam optics of a self-focusing plasma lens, Phys. Rev. D 39, 2039 (1989).
  60. A. Loulergue, M. Labat, C. Evain, C. Benabderrahmane, V. Malka, and M. Couprie, Beam manipulation for compact laser wakefield accelerator based free-electron lasers, New J. Phys. 17, 023028 (2015).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation