Matter and Radiation at Extremes, Volume. 8, Issue 6, 065602(2023)

Characterization of hot electrons generated by laser–plasma interaction at shock ignition intensities

E. D. Filippov1、a), M. Khan2, A. Tentori3, P. Gajdos4, A. S. Martynenko1,5, R. Dudzak4,6, P. Koester7, G. Zeraouli8, D. Mancelli0,9, F. Baffigi7, L. A. Gizzi7, S. A. Pikuz0,1, Ph.D. Nicolaï3, N. C. Woolsey2, R. Fedosejevs0, M. Krus4, L. Juha6, D. Batani3, O. Renner0,4,6, and G. Cristoforetti7
Author Affiliations
  • 0Department of Electronic Engineering, Hellenic Mediterranean University, Chania, Greece
  • 0National Research Nuclear University MEPhI, Moscow 115409, Russia
  • 0The Extreme Light Infrastructure ERIC, ELI Beamlines Facility, Dolní Břežany, Czech Republic
  • 0University of Alberta, Edmonton T6G 2V4, Alberta, Canada
  • 1Joint Institute for High Temperatures RAS, Moscow 125412, Russia
  • 2York Plasma Institute, School of Physics, Engineering and Technology, University of York, York YO10 5DD, United Kingdom
  • 3Université de Bordeaux, CNRS, CEA, CELIA, Talence 33405, France
  • 4Institute of Plasma Physics of the CAS, Prague, Czech Republic
  • 5Plasma Physics Department, GSI Helmholtzzentrum für Schwerionenforschung, 64291 Darmstadt, Germany
  • 6Institute of Physics of the CAS, Prague, Czech Republic
  • 7Intense Laser Irradiation Laboratory, INO-CNR, Pisa 56124, Italy
  • 8Centro de Laseres Pulsados (CLPU), Edicio M5, Parque Científico. C Adaja, 8, Salamanca 37185, Spain
  • 9Institute of Plasma Physics and Lasers - IPPL, Centre of Research and Innovation, Hellenic Mediterranean University, Rethymnon, Greece
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    Figures & Tables(12)
    Schematic of experimental setup and target design. In the experiment, a solid layered target with a choice for the ablation layer is irradiated by an intense laser pulse, and diagnostics involving an x-ray time-resolved Cu Kα imager and time-integrated Cu Kα spectrometer, ESs, and a BSC are used simultaneously. The Cu Kα imager comprises a spherically bent quartz crystal combined with an x-ray streak camera synchronized with a frequency-tripled pickoff of the heating laser.
    (a) Example of x-ray streak camera (XRS) image measured in experiment. The white arrowed line in the image shows the laser profile, and the spatial scale is given for the detector plane at magnification M = 4 of the optical scheme. (b) Simulated Kα emission profiles obtained for different temperatures of Cu layer. The simulations were performed using the FLYCHK code with 30 keV electrons added at a level of 0.01% to stimulate the Kα excitation. The dashed gray region indicates the spectral window of the imager.
    (a) Hard x-ray spectroscopy setup inside vacuum chamber using bremsstrahlung cannon (BSC). (b) Materials and thicknesses of progressive filters for signals measured in imaging plates (IPs); not shown here are the PTFE (C2F4) filters used to stop electrons from penetrating the stack. (c) Measured dose as function of channel number, and comparison to dose fitted from model. (d) Comparison between x-ray spectrum fph(E) (black line) fitting signals in (b) and bremsstrahlung spectrum produced by 3D Maxwellian distribution of electrons fe(E) (red line) propagating through target. The photon and electron distributions calculated by GEANT4 have temperatures of 30 and 36 keV, respectively.
    (a) Experimental arrangement of hot electron (HE) spectrometers. The angles 25° (ES1), 51° (ES2), and 31° (rear, ES3) are with respect to the target normal. (b) Typical electron spectrum measured by spectrometer ES3, and Maxwellian function fitting the experimental data. The experimental spectrum is not corrected for the electron propagation through the target.
    (a) Spectra of Cu Kα group recorded in shots irradiating Cu foil (top) and composite target with Al flash + CH ablative layer (bottom). The absence of the K-shell emission from highly ionized Cu indicates a relatively low temperature of the buried diagnostic layer. (b) Temporally and spatially integrated Cu Kα1 signal collected on IP and emitted from different types of composite targets. For Ti and Ni ablators, the Kα emission cannot be extracted unambiguously from the spectral background.
    (a) Electron temperatures measured by BSC diagnostics vs laser intensity. For better readability, a typical error bar is given for only one of the points. (b) and (d) Comparison of electron temperatures estimated from BSC x-ray spectra with those obtained from ES3 spectrometer before (b) and after (d) the GEANT4 correction accounting for transport into the target (d). The electron spectra were recorded behind the rear side of the target, and the dashed lines indicate equal values for the BSC and ES3 diagnostics. (c) Modification of energy distribution of HEs along their propagation into a multilayer target with Ni ablator, obtained from GEANT4 simulations. The violet curve is the 3D Maxwellian distribution of HEs with temperature 40 keV injected into the Ni ablator; the other curves are the distributions expected at different target layer interfaces. The red curve is the electron distribution at the rear side of the target, and it is fitted by an exponential function with a temperature of 68 keV (black dashed line) in the energy range of 150–300 keV. The experimental electron spectrum for shot 55 189 (black solid line) measured by the ES3 spectrometer is overplotted in the graph, suggesting that the measured spectrum with a temperature of Te′=68 keV corresponds to an input HE population with a temperature of Te = 40 keV.
    (a) Examples of electron spectra for shots with Ni (high Z) and CH (low Z) ablation layers from front spectrometers. (b) Comparison of HE source populations registered by BSC and ES diagnostics. The dashed line corresponds to equal populations, and the ES data account for transmission through the target.
    (a) Calculated transmission of HEs emerging from rear surface of target as estimated by GEANT4 simulations. The values were calculated by injecting Maxwellian distributions of electrons with different input temperatures on the front surface of the target. Electrons were injected at 200 μm from the target surface with a spot size of 50 μm and a cone angle of 45°. The dashed rectangle shows the typical range of measured electron temperatures in the experiment. (b) Conversion efficiency of laser energy into HE energy obtained from analyzing BSC data. The dashed lines are to guide the eye and emphasize the trends for Al and parylene-C ablators, whereas the actual dependence can be different. For clarity, a typical error bar is given for only one of the data points.
    (a) Number of Kα1 photons (green) for different values of Cu layer (solid, dashed, and dotted lines) measured by Kα imager, compared to number of bremsstrahlung photons produced by collisions of HEs into target (blue line) and to the number of bremsstrahlung + recombination photons emitted by the plasma corona, calculated in 1D (black) and 3D geometry (red). The first two values were estimated by using GEANT4 simulations and the last one by post-processing the results of hydrodynamic simulations with the FLYCHK code. (b) Typical plasma conditions along density profile, derived from CHIC hydrodynamic simulations, and successively post-processed in the FLYCHK simulations. The plot corresponds to the conditions at the time of laser peak arrival on the Al ablator.
    (a) Dependence of HE population registered by rear electron spectrometer in range of 150–300 keV on Kα intensity. (b) Spatial FWHM profiles of Kα emission registered by Kα imager for different targets used in experiment.
    (a) Dependence of Kα emission duration on laser intensity for different target ablators. (b) Timing of HE generation as measured by Kα emission vs laser pulse profile observed in shots over CH, C, and Al ablators.
    • Table 1. Summary of shock ignition (SI)-relevant experiments performed at PALS facility at 1ω, i.e., at λ = 1315 nm. The target configuration and the key laser parameters used in each experiment are reported. In particular, we indicate the total laser energy Etot delivered on target and the laser intensity I. The measured HE temperature Th and the laser-to-HE energy conversion efficiency η are reported in the last two columns. If a paper considers a two-temperature distribution function, then both temperatures are indicated. In our paper, we used data from the front* and rear electron spectrometers, correspondingly.

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      Table 1. Summary of shock ignition (SI)-relevant experiments performed at PALS facility at 1ω, i.e., at λ = 1315 nm. The target configuration and the key laser parameters used in each experiment are reported. In particular, we indicate the total laser energy Etot delivered on target and the laser intensity I. The measured HE temperature Th and the laser-to-HE energy conversion efficiency η are reported in the last two columns. If a paper considers a two-temperature distribution function, then both temperatures are indicated. In our paper, we used data from the front* and rear electron spectrometers, correspondingly.

      ReferenceYearTargetEtot (J)I (1015 W/cm2)Th (keV)η (%)
      102014Massive Cu or Al290–58050>502–7
      292016Cu foil + massive44020294+80.11–0.23
      112018Layered CHTiCu6501030 ± 95.320.26+6.9
      602019Layered CHTi7001040 ± 53.5 ± 0.5
      85 ± 51.8 ± 0.5
      222019Layered CHTiAl6501058 ± 105.3 ± 2
      432020Massive Cu + plastic5001058 ± 100.6–3
      This work2023Different ablators + PP + Cu + CH6003–1535 ± 70.90.5+0.8
      70 ± 20*
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    E. D. Filippov, M. Khan, A. Tentori, P. Gajdos, A. S. Martynenko, R. Dudzak, P. Koester, G. Zeraouli, D. Mancelli, F. Baffigi, L. A. Gizzi, S. A. Pikuz, Ph.D. Nicolaï, N. C. Woolsey, R. Fedosejevs, M. Krus, L. Juha, D. Batani, O. Renner, G. Cristoforetti. Characterization of hot electrons generated by laser–plasma interaction at shock ignition intensities[J]. Matter and Radiation at Extremes, 2023, 8(6): 065602

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    Paper Information

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    Received: May. 5, 2023

    Accepted: Aug. 4, 2023

    Published Online: Mar. 21, 2024

    The Author Email: Filippov E. D. (edfilippov@ihed.ras.ru)

    DOI:10.1063/5.0157168

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