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

Physics of High-Charge Electron Beams in Laser-Plasma Wakefields

J. Götzfried1,2, A. Döpp1,2,*, M. F. Gilljohann1,2, F. M. Foerster1, H. Ding1,2, S. Schindler1,2, G. Schilling1, A. Buck2, L. Veisz2,3 et al.

S. Karsch1,2,†

  • 1Ludwig-Maximilians-Universität München, Am Coulombwall 1, 85748 Garching, Germany
  • 2Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Strasse 1, 85748 Garching, Germany
  • 3Department of Physics, Umeå University, SE-901 87, Umeå, Sweden

  • *a.doepp@physik.uni-muenchen.de
  • †stefan.karsch@physik.uni-muenchen.de

Phys. Rev. X 10, 041015 – Published 21 October, 2020

DOI: https://doi.org/10.1103/PhysRevX.10.041015

Abstract

Laser wakefield acceleration (LWFA) and its particle-driven counterpart, particle or plasma wakefield acceleration (PWFA), are commonly treated as separate, though related, branches of high-gradient plasma-based acceleration. However, novel proposed schemes are increasingly residing at the interface of both concepts where the understanding of their interplay becomes crucial. Here, we present a comprehensive study of this regime, which we may term laser-plasma wakefields. Using datasets of hundreds of shots, we demonstrate the influence of beam loading on the spectral shape of electron bunches. Similar results are obtained using both 100-TW-class and few-cycle lasers, highlighting the scale invariance of the involved physical processes. Furthermore, we probe the interplay of dual electron bunches in the same or in two subsequent plasma periods under the influence of beam loading. We show that, with decreasing laser intensity, beam loading transitions to a beam-dominated regime, where the first bunch acts as the main driver of the wakefield. This transition is evidenced experimentally by a varying acceleration of a low-energy witness beam with respect to the charge of a high-energy drive beam in a spatially separate gas target. Our results also present an important step in the development of LWFA using controlled injection in a shock front. The electron beams in this study reach record performance in terms of laser-to-beam energy transfer efficiency (up to 10%), spectral charge density (regularly exceeding 10  pC MeV−1), and angular charge density (beyond 300  pC μsr−1 at 220 MeV). We provide an experimental scaling for the accelerated charge per terawatt (TW) of laser power, which approaches 2 nC at 300 TW. With the expanding availability of petawatt-class (PW) lasers, these beam parameters will become widely accessible. Thus, the physics of laser-plasma wakefields is expected to become increasingly relevant, as it provides new paths toward low-emittance beam generation for future plasma-based colliders or light sources.

View figure in article

Physics Subject Headings (PhySH)

Collections

This article appears in the following collection:

Special Collection on Laser-Plasma Particle Acceleration

Physical Review X showcases the scientific vitality and diversity of the field of laser-plasma particle acceleration with a carefully curated collection of articles.

Popular Summary

Article Text

Supplemental Material

References (92)

  1. V. Malka, J. Faure, Y. A. Gauduel, E. Lefebvre, A. Rousse, and K. T. Phuoc, Principles and Applications of Compact Laser-Plasma Accelerators, Nat. Phys. 4, 447 (2008).
  2. S. Corde, K. T. Phuoc, G. Lambert, R. Fitour, V. Malka, A. Rousse, A. Beck, and E. Lefebvre, Femtosecond X Rays from Laser-Plasma Accelerators, Rev. Mod. Phys. 85, 1 (2013).
  3. F. Albert and A. G. R. Thomas, Applications of Laser Wakefield Accelerator-Based Light Sources, Plasma Phys. Controlled Fusion 58, 103001 (2016).
  4. W. Leemans and E. Esarey, Laser-Driven Plasma-Wave Electron Accelerators, Phys. Today 62, No. 3, 44 (2009).
  5. J. Faure, Y. Glinec, A. Pukhov, S. Kiselev, S. Gordienko, E. Lefebvre, J. P. Rousseau, F. Burgy, and V. Malka, A Laser-Plasma Accelerator Producing Monoenergetic Electron Beams, Nature (London) 431, 541 (2004).
  6. S. P. D. Mangles, C. D. Murphy, Z. Najmudin, A. G. R. Thomas, J. L. Collier, A. E. Dangor, E. J. Divall, P. S. Foster, J. G. Gallacher, C. J. Hooker, D. A. Jaroszynski, A. J. Langley, W. B. Mori, P. A. Norreys, F. S. Tsung, R. Viskup, B. R. Walton, and K. Krushelnick, Monoenergetic Beams of Relativistic Electrons from Intense Laser-Plasma Interactions, Nature (London) 431, 535 (2004).
  7. C. G. R. Geddes, C. Toth, J. van Tilborg, E. Esarey, C. B. Schroeder, D. Bruhwiler, C. Nieter, J. Cary, and W. P. Leemans, High-Quality Electron Beams from a Laser Wakefield Accelerator Using Plasma-Channel Guiding, Nature (London) 431, 538 (2004).
  8. W. P. Leemans, B. Nagler, A. J. Gonsalves, C. Tóth, K. Nakamura, C. G. R. Geddes, E. Esarey, C. B. Schroeder, and S. M. Hooker, GeV Electron Beams from a Centimetre-Scale Accelerator, Nat. Phys. 2, 696 (2006).
  9. I. Blumenfeld, C. E. Clayton, F. J. Decker, M. J. Hogan, C. K. Huang, R. Ischebeck, R. Iverson, C. Joshi, T. Katsouleas, N. Kirby, W. Lu, K. A. Marsh, W. B. Mori, P. Muggli, E. Oz, R. H. Siemann, D. Walz, and M. M. Zhou, Energy Doubling of 42 GeV Electrons in a Metre-Scale Plasma Wakefield Accelerator, Nature (London) 445, 741 (2007).
  10. X. Wang et al., Quasi-monoenergetic Laser-Plasma Acceleration of Electrons to 2 GeV, Nat. Commun. 4, 1988 (2013).
  11. M. Litos et al., High-Efficiency Acceleration of an Electron Beam in a Plasma Wakefield Accelerator, Nature (London) 515, 92 (2014).
  12. E. Adli et al., Acceleration of Electrons in the Plasma Wakefield of a Proton Bunch, Nature (London) 561, 363 (2018).
  13. A. J. Gonsalves et al., Petawatt Laser Guiding and Electron Beam Acceleration to 8 GeV in a Laser-Heated Capillary Discharge Waveguide, Phys. Rev. Lett. 122, 084801 (2019).
  14. A. Rousse, K. T. Phuoc, R. Shah, A. Pukhov, E. Lefebvre, V. Malka, S. Kiselev, F. Burgy, J. P. Rousseau, D. Umstadter, and D. Hulin, Production of a keV X-Ray Beam from Synchrotron Radiation in Relativistic Laser-Plasma Interaction, Phys. Rev. Lett. 93, 135005 (2004).
  15. S. Kneip et al., Bright Spatially Coherent Synchrotron X-Rays from a Table-Top Source, Nat. Phys. 6, 980 (2010).
  16. K. T. Phuoc, S. Corde, C. Thaury, V. Malka, A. Tafzi, J. P. Goddet, R. C. Shah, S. Sebban, and A. Rousse, All-Optical Compton Gamma-Ray Source, Nat. Photonics 6, 308 (2012).
  17. N. D. Powers, I. Ghebregziabher, G. Golovin, C. Liu, S. Chen, S. Banerjee, J. Zhang, and D. P. Umstadter, Quasi-monoenergetic and Tunable X-Rays from a Laser-Driven Compton Light Source, Nat. Photonics 8, 28 (2014).
  18. K. Khrennikov, J. Wenz, A. Buck, J. Xu, M. Heigoldt, L. Veisz, and S. Karsch, Tunable All-Optical Quasimonochromatic Thomson X-Ray Source in the Nonlinear Regime, Phys. Rev. Lett. 114, 195003 (2015).
  19. A. Döpp, B. Mahieu, A. Lifschitz, C. Thaury, A. Doche, E. Guillaume, G. Grittani, O. Lundh, M. Hansson, J. Gautier, M. Kozlova, J. P. Goddet, P. Rousseau, A. Tafzi, V. Malka, A. Rousse, S. Corde, and K. T. Phuoc, Stable Femtosecond X-Rays with Tunable Polarization from a Laser-Driven Accelerator, Light Sci. Appl. 6, e17086 (2017).
  20. S. Fourmaux, S. Corde, K. T. Phuoc, P. Lassonde, G. Lebrun, S. Payeur, F. Martin, S. Sebban, V. Malka, A. Rousse, and J. C. Kieffer, Single Shot Phase Contrast Imaging Using Laser-Produced Betatron X-Ray Beams, Opt. Lett. 36, 2426 (2011).
  21. S. Kneip, C. McGuffey, F. Dollar, M. S. Bloom, V. Chvykov, G. Kalintchenko, K. Krushelnick, A. Maksimchuk, S. P. D. Mangles, T. Matsuoka, Z. Najmudin, C. A. J. Palmer, J. Schreiber, W. Schumaker, A. G. R. Thomas, and V. Yanovsky, X-Ray Phase Contrast Imaging of Biological Specimens with Femtosecond Pulses of Betatron Radiation from a Compact Laser Plasma Wakefield Accelerator, Appl. Phys. Lett. 99, 093701 (2011).
  22. A. E. Hussein et al., Laser-Wakefield Accelerators for High-Resolution X-Ray Imaging of Complex Microstructures, Sci. Rep. 9, 3249 (2019).
  23. D. Guénot, K. Svendsen, J. B. Svensson, H. Ekerfelt, A. Persson, O. Lundh, and E. Berrocal, Simultaneous Laser-Driven X-Ray and Two-Photon Fluorescence Imaging of Atomizing Sprays, Optica 7, 131 (2020).
  24. J. Wenz, S. Schleede, K. Khrennikov, M. Bech, P. Thibault, M. Heigoldt, F. Pfeiffer, and S. Karsch, Quantitative X-Ray Phase-Contrast Microtomography from a Compact Laser-Driven Betatron Source, Nat. Commun. 6, 7568 (2015).
  25. J. M. Cole, J. C. Wood, N. C. Lopes, K. Poder, R. L. Abel, S. Alatabi, J. S. J. Bryant, A. Jin, S. Kneip, K. Mecseki, D. R. Symes, S. P. D. Mangles, and Z. Najmudin, Laser-Wakefield Accelerators as Hard X-Ray Sources for 3D Medical Imaging of Human Bone, Sci. Rep. 5, 13244 (2015).
  26. A. Döpp, L. Hehn, J. Götzfried, J. Wenz, M. Gilljohann, H. Ding, S. Schindler, F. Pfeiffer, and S. Karsch, Quick X-Ray Microtomography Using a Laser-Driven Betatron Source, Optica 5, 199 (2018).
  27. Z. H. He, B. Beaurepaire, J. A. Nees, G. Gallé, S. A. Scott, J. R. S. Pérez, M. G. Lagally, K. Krushelnick, A. G. R. Thomas, and J. Faure, Capturing Structural Dynamics in Crystalline Silicon Using Chirped Electrons from a Laser Wakefield Accelerator, Sci. Rep. 6, 36224 (2016).
  28. Y. A. Gauduel, Y. Glinec, J. P. Rousseau, F. Burgy, and V. Malka, High Energy Radiation Femtochemistry of Water Molecules: Early Electron-Radical Pairs Processes, Eur. Phys. J. D 60, 121 (2010).
  29. B. Mahieu, N. Jourdain, K. T. Phuoc, F. Dorchies, J. P. Goddet, A. Lifschitz, P. Renaudin, and L. Lecherbourg, Probing Warm Dense Matter Using Femtosecond X-Ray Absorption Spectroscopy with a Laser-Produced Betatron Source, Nat. Commun. 9, 3276 (2018).
  30. B. Kettle et al., Single-Shot Multi-keV X-Ray Absorption Spectroscopy Using an Ultrashort Laser-Wakefield Accelerator Source, Phys. Rev. Lett. 123, 254801 (2019).
  31. T. Tajima and J. M. Dawson, Laser Electron-Accelerator, Phys. Rev. Lett. 43, 267 (1979).
  32. P. Chen and J. M. Dawson, The Plasma Wake Field Accelerator, AIP Conf. Proc. 130, 201 (1985).
  33. B. Hidding, A. Beaton, L. Boulton, S. Corde, A. Doepp, A. F. Habib, T. Heinemann, A. Irman, S. Karsch, G. Kirwan, A. Knetsch, G. G. Manahan, A. M. de la Ossa, A. Nutter, P. Scherkl, U. Schramm, and D. Ullmann, Fundamentals and Applications of Hybrid LWFA-PWFA, Appl. Sci. 9, 2626 (2019).
  34. S. Wilks, T. Katsouleas, J. M. Dawson, P. Chen, and J. J. Su, Beam Loading in Plasma-Waves, IEEE Trans. Plasma Sci. 15, 210 (1987).
  35. A. R. Maier, A. Meseck, S. Reiche, C. B. Schroeder, T. Seggebrock, and F. Grüner, Demonstration Scheme for a Laser-Plasma-Driven Free-Electron Laser, Phys. Rev. X 2, 031019 (2012).
  36. M. E. Couprie, Panorama of New Generation of Accelerator Based Short Wavelength Coherent Light Sources, Nucl. Instrum. Methods Phys. Res., Sect. B 364, 4 (2015).
  37. G. G. Manahan, A. F. Habib, P. Scherkl, P. Delinikolas, A. Beaton, A. Knetsch, O. Karger, G. Wittig, T. Heinemann, Z. M. Sheng, J. R. Cary, D. L. Bruhwiler, J. B. Rosenzweig, and B. Hidding, Single-Stage Plasma-Based Correlated Energy Spread Compensation for Ultrahigh 6D Brightness Electron Beams, Nat. Commun. 8, 15705 (2017).
  38. B. Hidding, T. Königstein, J. Osterholz, S. Karsch, O. Willi, and G. Pretzler, Monoenergetic Energy Doubling in a Hybrid Laser-Plasma Wakefield Accelerator, Phys. Rev. Lett. 104, 195002 (2010).
  39. 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).
  40. A. M. de la Ossa, J. Grebenyuk, T. Mehrling, L. Schaper, and J. Osterhoff, High-Quality Electron Beams from Beam-Driven Plasma Accelerators by Wakefield-Induced Ionization Injection, Phys. Rev. Lett. 111, 245003 (2013).
  41. A. M. de la Ossa, T. J. Mehrling, L. Schaper, M. J. V. Streeter, and J. Osterhoff, Wakefield-Induced Ionization Injection in Beam-Driven Plasma Accelerators, Phys. Plasmas 22, 093107 (2015).
  42. E. Esarey, C. B. Schroeder, and W. P. Leemans, Physics of Laser-Driven Plasma-Based Electron Accelerators, Rev. Mod. Phys. 81, 1229 (2009).
  43. V. Malka, Laser Plasma Accelerators, Phys. Plasmas 19, 055501 (2012).
  44. S. M. Hooker, Developments in Laser-Driven Plasma Accelerators, Nat. Photonics 7, 775 (2013).
  45. M. C. Downer, R. Zgadzaj, A. Debus, U. Schramm, and M. C. Kaluza, Diagnostics for Plasma-Based Electron Accelerators, Rev. Mod. Phys. 90, 035002 (2018).
  46. E. Esarey, P. Sprangle, J. Krall, and A. Ting, Overview of Plasma-Based Accelerator Concepts, IEEE Trans. Plasma Sci. 24, 252 (1996).
  47. W. Lu, C. Huang, M. Zhou, W. B. Mori, and T. Katsouleas, Nonlinear Theory for Relativistic Plasma Wakefields in the Blowout Regime, Phys. Rev. Lett. 96, 165002 (2006).
  48. A. Pukhov and J. Meyer-ter-Vehn, Laser Wake Field Acceleration: The Highly Non-linear Broken-Wave Regime, Appl. Phys. B 74, 355 (2002).
  49. I. Kostyukov, A. Pukhov, and S. Kiselev, Phenomenological Theory of Laser-Plasma Interaction in “Bubble” Regime, Phys. Plasmas 11, 5256 (2004).
  50. See Sec. 1 in Supplemental Material [51].

  51. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevX.10.041015 for additional information on beam loading physics, an explanation of the central importance of the beam current, discussions on the experimental setup, and further details on the data analysis.
  52. H. Ding, A. Döpp, M. Gilljohann, J. Götzfried, S. Schindler, L. Wildgruber, G. Cheung, S. M. Hooker, and S. Karsch, Nonlinear Plasma Wavelength Scalings in a Laser Wakefield Accelerator, Phys. Rev. E 101, 023209 (2020).
  53. Details on the simulations underlying Fig. 1 are given in Supplemental Material [51].

  54. W. Lu, C. Huang, M. Zhou, M. Tzoufras, F. S. Tsung, W. B. Mori, and T. Katsouleas, A Nonlinear Theory for Multidimensional Relativistic Plasma Wave Wakefields, Phys. Plasmas 13, 056709 (2006).
  55. C. Rechatin, X. Davoine, A. Lifschitz, A. B. Ismail, J. Lim, E. Lefebvre, J. Faure, and V. Malka, Observation of Beam Loading in a Laser-Plasma Accelerator, Phys. Rev. Lett. 103, 194804 (2009).
  56. C. Rechatin, J. Faure, X. Davoine, O. Lundh, J. Lim, A. Ben-Ismail, F. Burgy, A. Tafzi, A. Lifschitz, E. Lefebvre, and V. Malka, Characterization of the Beam Loading Effects in a Laser Plasma Accelerator, New J. Phys. 12, 045023 (2010).
  57. E. Guillaume, A. Döpp, C. Thaury, A. Lifschitz, J. P. Goddet, A. Tafzi, F. Sylla, G. Iaquanello, T. Lefrou, P. Rousseau, K. T. Phuoc, and V. Malka, Physics of Fully-Loaded Laser-Plasma Accelerators, Phys. Rev. Accel. Beams 18, 061301 (2015).
  58. J. P. Couperus, R. Pausch, A. Köhler, O. Zarini, J. M. Krämer, M. Garten, A. Huebl, R. Gebhardt, U. Helbig, S. Bock, K. Zeil, A. Debus, M. Bussmann, U. Schramm, and A. Irman, Demonstration of a Beam Loaded Nanocoulomb-Class Laser Wakefield Accelerator, Nat. Commun. 8, 487 (2017).
  59. M. Tzoufras, W. Lu, F. S. Tsung, C. Huang, W. B. Mori, T. Katsouleas, J. Vieira, R. A. Fonseca, and L. O. Silva, Beam Loading by Electrons in Nonlinear Plasma Wakes, Phys. Plasmas 16, 056705 (2009).
  60. K. H. Pae, I. W. Choi, and J. Lee, Self-Mode-Transition from Laser Wakefield Accelerator to Plasma Wakefield Accelerator of Laser-Driven Plasma-Based Electron Acceleration, Phys. Plasmas 17, 123104 (2010).
  61. S. Corde, C. Thaury, K. T. Phuoc, A. Lifschitz, G. Lambert, J. Faure, O. Lundh, E. Benveniste, A. Ben-Ismail, L. Arantchuk, A. Marciniak, A. Stordeur, P. Brijesh, A. Rousse, A. Specka, and V. Malka, Mapping the X-Ray Emission Region in a Laser-Plasma Accelerator, Phys. Rev. Lett. 107, 215004 (2011).
  62. P. E. Masson-Laborde, M. Z. Mo, A. Ali, S. Fourmaux, P. Lassonde, J. C. Kieffer, W. Rozmus, D. Teychenne, and R. Fedosejevs, Giga-electronvolt Electrons due to a Transition from Laser Wakefield Acceleration to Plasma Wakefield Acceleration, Phys. Plasmas 21, 123113 (2014).
  63. M. Heigoldt, A. Popp, K. Khrennikov, J. Wenz, S. W. Chou, S. Karsch, S. I. Bajlekov, S. M. Hooker, and B. Schmidt, Temporal Evolution of Longitudinal Bunch Profile in a Laser Wakefield Accelerator, Phys. Rev. Accel. Beams 18, 121302 (2015).
  64. Y. Wu, C. Yu, Z. Qin, W. Wang, Z. Zhang, R. Qi, K. Feng, L. Ke, Y. Chen, C. Wang, X. Yang, Y. Leng, J. Liu, R. Li, and Z. Xu, Energy Enhancement and Energy Spread Compression of Electron Beams in a Hybrid Laser-Plasma Wakefield Accelerator, Appl. Sci. 9, 2561 (2019).
  65. H. Suk, N. Barov, J. B. Rosenzweig, and E. Esarey, Plasma Electron Trapping and Acceleration in a Plasma Wake Field Using a Density Transition, Phys. Rev. Lett. 86, 1011 (2001).
  66. H. Suk, H. J. Lee, and I. S. Ko, Generation of High-Energy Electrons by a Femtosecond Terawatt Laser Propagating through a Sharp Downward Density Transition, J. Opt. Soc. Am. B 21, 1391 (2004).
  67. K. Schmid, A. Buck, C. M. S. Sears, J. M. Mikhailova, R. Tautz, D. Herrmann, M. Geissler, F. Krausz, and L. Veisz, Density-Transition Based Electron Injector for Laser Driven Wakefield Accelerators, Phys. Rev. Accel. Beams 13, 091301 (2010).
  68. E. Guillaume, Control of Electron Injection and Acceleration in Laser-Wakefield Accelerators, Ph.D. thesis, Ecole Polytechnique, 2015.
  69. H.-E. Tsai, K. K. Swanson, S. K. Barber, R. Lehe, H.-S. Mao, D. E. Mittelberger, S. Steinke, K. Nakamura, J. van Tilborg, C. Schroeder, E. Esarey, C. G. R. Geddes, and W. Leemans, Control of Quasi-monoenergetic Electron Beams from Laser-Plasma Accelerators with Adjustable Shock Density Profile, Phys. Plasmas 25, 043107 (2018).
  70. K. Schmid and L. Veisz, Supersonic Gas Jets for Laser-Plasma Experiments, Rev. Sci. Instrum. 83, 053304 (2012).
  71. T. Kurz, J. P. Couperus, J. M. Krämer, H. Ding, S. Kuschel, A. Köhler, O. Zarini, D. Hollatz, D. Schinkel, R. D’Arcy, J.-P. Schwinkendorf, J. Osterhoff, A. Irman, U. Schramm, and S. Karsch, Calibration and Cross-Laboratory Implementation of Scintillating Screens for Electron Bunch Charge Determination, Rev. Sci. Instrum. 89, 093303 (2018).
  72. A. Döpp, C. Thaury, E. Guillaume, F. Massimo, A. Lifschitz, I. Andriyash, J. P. Goddet, A. Tazfi, K. T. Phuoc, and V. Malka, Energy-Chirp Compensation in a Laser Wakefield Accelerator, Phys. Rev. Lett. 121, 074802 (2018).
  73. 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).
  74. W. Lu, M. Tzoufras, C. Joshi, F. Tsung, W. Mori, J. Vieira, R. Fonseca, and L. Silva, Generating Multi-GeV Electron Bunches Using Single Stage Laser Wakefield Acceleration in a 3D Nonlinear Regime, Phys. Rev. Accel. Beams 10, 061301 (2007).
  75. A. Pukhov, S. Gordienko, S. Kiselev, and I. Kostyukov, The Bubble Regime of Laser-Plasma Acceleration: Monoenergetic Electrons and the Scalability, Plasma Phys. Controlled Fusion 46, B179 (2004).
  76. M. F. Gilljohann, H. Ding, A. Döpp, J. Götzfried, S. Schindler, G. Schilling, S. Corde, A. Debus, T. Heinemann, B. Hidding, S. M. Hooker, A. Irman, O. Kononenko, T. Kurz, A. M. de la Ossa, U. Schramm, and S. Karsch, Direct Observation of Plasma Waves and Dynamics Induced by Laser-Accelerated Electron Beams, Phys. Rev. X 9, 011046 (2019).
  77. There are different ways to define scaling for laser wakefields. Pukhov et al. [75], for instance, introduce a similarity parameter α=ne/(a0ncr), while our approach uses direct scaling of all length scales in the plasma similar to Lu et al. [74].

  78. K. Schmid, L. Veisz, F. Tavella, S. Benavides, R. Tautz, D. Herrmann, A. Buck, B. Hidding, A. Marcinkevicius, U. Schramm, M. Geissler, J. Meyer-ter-Vehn, D. Habs, and F. Krausz, Few-Cycle Laser-Driven Electron Acceleration, Phys. Rev. Lett. 102, 124801 (2009).
  79. D. Guénot, D. Gustas, A. Vernier, B. Beaurepaire, F. Böhle, M. Bocoum, M. Lozano, A. Jullien, R. Lopez-Martens, A. Lifschitz, and J. Faure, Relativistic Electron Beams Driven by kHz Single-Cycle Light Pulses, Nat. Photonics 11, 293 (2017).
  80. T. André et al., Control of Laser Plasma Accelerated Electrons for Light Sources, Nat. Commun. 9, 1334 (2018).
  81. A. Buck, J. Wenz, J. Xu, K. Khrennikov, K. Schmid, M. Heigoldt, J. M. Mikhailova, M. Geissler, B. Shen, F. Krausz, S. Karsch, and L. Veisz, Shock-Front Injector for High-Quality Laser-Plasma Acceleration, Phys. Rev. Lett. 110, 185006 (2013).
  82. J. Faure, C. Rechatin, A. Norlin, A. Lifschitz, Y. Glinec, and V. Malka, Controlled Injection and Acceleration of Electrons in Plasma Wakefields by Colliding Laser Pulses, Nature (London) 444, 737 (2006).
  83. J. Wenz, A. Döpp, K. Khrennikov, S. Schindler, M. F. Gilljohann, H. Ding, J. Götzfried, A. Buck, J. Xu, M. Heigoldt, W. Helml, L. Veisz, and S. Karsch, Dual-Energy Electron Beams from a Compact Laser-Driven Accelerator, Nat. Photonics 13, 263 (2019).
  84. T. Kurz et al., Demonstration of a Compact Plasma Accelerator Powered by Laser-Accelerated Electron Beams, arXiv:1909.06676.
  85. This approach assumes that the beam at the exit has a divergence of at least the vacuum focus (f/25). In reality, this estimate is lower because of self-focusing, which induces additional wavefront curvature. Note that this estimation assumes that the beams are far away from the focus, which is not necessarily the case for the electron beam in our conditions. Close to focus, the laser intensity of a Gaussian beam evolves as I(z)∝w(z)−2 with w(z)=w01+(z/zR)2, zR=πw02/λ being the Rayleigh length and w0 denotes the focal spot radius. The electron bunch evolves according to σr=σr01+(z/β˜)2 with β˜=σr02γ/εn, σr0 being the focal spot radius of the electron bunch and εn denoting the normalized emittance.

  86. S. Chou, J. Xu, K. Khrennikov, D. E. Cardenas, J. Wenz, M. Heigoldt, L. Hofmann, L. Veisz, and S. Karsch, Collective Deceleration of Laser-Driven Electron Bunches, Phys. Rev. Lett. 117, 144801 (2016).
  87. 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).
  88. 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).
  89. C. Thaury, E. Guillaume, A. Döpp, R. Lehe, A. Lifschitz, K. T. Phuoc, J. Gautier, J. P. Goddet, A. Tafzi, A. Flacco, F. Tissandier, S. Sebban, A. Rousse, and V. Malka, Demonstration of Relativistic Electron Beam Focusing by a Laser-Plasma Lens, Nat. Commun. 6, 6860 (2015).
  90. R. Lehe, C. Thaury, A. Lifschitz, J. M. Rax, and V. Malka, Transverse Dynamics of an Intense Electron Bunch Traveling through a Pre-ionized Plasma, Phys. Plasmas 21, 043104 (2014).
  91. More details on the setup are given in Supplemental Material [51].

  92. A. Loulergue, M. Labat, C. Evain, C. Benabderrahmane, V. Malka, and M. E. 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