Matter and Radiation at Extremes, Volume. 10, Issue 3, 037403(2025)

Hot-electron generation in high-intensity laser–matter experiments with copper targets

O. Renner1,2,3、a), O. Klimo3,4, M. Krus1, Ph. Nicolaï5, [in Chinese], A. Poletaeva6, N. Bukharskii6, and V. T. Tikhonchuk3,5
Author Affiliations
  • 1Institute of Plasma Physics of the CAS, 182 00 Prague, Czech Republic
  • 2Institute of Physics of the CAS, 182 00 Prague, Czech Republic
  • 3The Extreme Light Infrastructure ERIC, ELI Beamlines Facility, 25 241 Dolní Břežany, Czech Republic
  • 4Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, 115 19 Prague, Czech Republic
  • 5Centre Lasers Intenses et Applications, Université de Bordeaux, CNRS, CEA, 33405 Talence, France
  • 6Independent researcher, Moscow, Russia
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    Figures & Tables(17)
    Schematic of experimental setup.
    Raw XSC data providing spatial and temporal characteristics of the hot-electron-induced Cu Kα radiation in the experiments: (a) and (b) with solid target; (c) with thin foil. In (b) and (c), the origin of the temporal axis is shifted to the laser profile maximum.
    (a) Temporal correlation of laser beam irradiating massive Cu target with the hot-electron (HE)-induced Cu Kα signal. (b) Spatial extent of the hot-electron interaction with the Cu target derived from the XSC signal averaged over the full Cu Kα duration.
    Time-resolved observation of hot-electron generation at laser-irradiated 1 μm-thick Cu foil. The black curve shows the laser temporal profile, the red points measurements, and the red curve an asymmetric double sigmoidal function fit.
    (a) Spatial distribution of Kα emission from a thin target at selected time moments with respect to the laser pulse maximum. The scans are integrated over 50 ps. (b) Time-integrated spatial distribution of the hot-electron-induced Kα emission from a Cu foil.
    Time dependence of the zone of Cu Kα emission from (a) a massive and (b) a thin target (black squares). The red curves represent the distributions of relative intensities of the Kα emission integrated over temporal windows of 50 ps. Laser energy and pulse duration are 557 J and 287 ps in (a) and 466 J and 318 ps in (b).
    (a) Spatial distribution of electron temperature in (x, z) plane at laser pulse maximum t = 0. The results are obtained from the hydrodynamic simulations with CHIC for the case of a massive target. The laser is incident from the right. The dashed white box shows the part of the plasma used for the PIC simulations related to hot-electron generation in Sec. IV C. The dot-dashed white box shows the part of the plasma used for the PIC simulations related to hot-electron transport in Sec. IV D, but for a thin target. (b) Temporal evolution of hot-electron flux obtained from CHIC simulations (blue curve) and PIC simulations (green squares) described in Sec. IV C. The red squares represent experimental data, and the laser pulse profile is shown by the black curve.
    (a) Spatial distribution of electron density (blue), electron temperature (red), and ion flow velocity (black) in the plasma corona along the laser axis. (b) Spatial distribution of plasma mass density (blue), electron temperature (red), and flow velocity (black) in the dense part of the 1 μm-thick foil. All profiles are obtained from the hydrodynamic simulation using CHIC at a time 100 ps after the laser maximum for a massive target (dashed curves) and a thin foil (solid curves). The laser is incident from the right.
    Spatial distribution of plasma density in the (x, z) plane obtained from a hydrodynamic simulation using CHIC of laser interaction with a 1 μm foil 100 ps after the laser maximum. The laser is incident from the right.
    Temporally integrated spectrum of light recorded at the front box boundary in runs A–D with a massive target. The spectrum includes both the laser and the reflected/backscattered radiation.
    Hot-electron energy distribution recorded by the virtual detector during the quasi-steady stage of interaction behind the critical density in runs A–D.
    Distribution of (a) magnetic field By and (b) electric field Ex obtained in run E at time t = 30.2 ps.
    Distribution of hot electrons in the (z, pz) plane, time-averaged from the start of the simulation t = 0 up to time moment t1 = 10.5 ps (a) and 22.5 ps (b). Arrows indicate the direction of electron motion.
    Time dependence of z coordinate for test particles oscillating in the charge separation field around the target. The larger the oscillation amplitude, the higher is the test particle energy.
    Dependence of the collisional energy loss of electron crossing foil (blue) and the excursion time (red) on the electron energy. The target areal density is 0.9 mg/cm2, the hot-electron temperature is 40 keV, and the density 1016 cm−3.
    • Table 1. Plasma parameters obtained from hydrodynamic simulations and used as input to PIC simulations of hot-electron generation and transport.

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      Table 1. Plasma parameters obtained from hydrodynamic simulations and used as input to PIC simulations of hot-electron generation and transport.

      Run No.Laser intensity (W/cm2)Time (ps)Density scale length (μm)Te (keV)Ti (keV)Flow velocity (mm/ns)
      A7 × 1014−350192.20.07–0.30.7–0.2
      B2.8 × 1015−250434.10.1–0.41.0–0.3
      C7 × 1015−150685.30.2–0.41.2–0.5
      D1.1 × 1016−501006.40.2–0.51.3–0.6
      E1.8 × 10160Full profile,Full profileFull profileNo flow
      μm film
    • Table 2. Characteristics of hot electrons recorded by the virtual detector beyond the critical density in PIC simulations. Subscripts 1 and 2 correspond to interpolating the electron distribution with two Maxwellian functions (1). The values of n1 and n2 are normalized to the values for run D (n1/n2 = 83 in run D), ɛp is the electron energy loss between the critical density and the plasma layer with temperature 100 eV, and fK is the fraction of electrons able to produce the observable emission.

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      Table 2. Characteristics of hot electrons recorded by the virtual detector beyond the critical density in PIC simulations. Subscripts 1 and 2 correspond to interpolating the electron distribution with two Maxwellian functions (1). The values of n1 and n2 are normalized to the values for run D (n1/n2 = 83 in run D), ɛp is the electron energy loss between the critical density and the plasma layer with temperature 100 eV, and fK is the fraction of electrons able to produce the observable emission.

      Runn1T1 (keV)n2T2 (keV)ɛp (keV)fK (%)
      A0.064130.48312.267
      B0.39101.92294.161
      C0.54120.43475.657
      D1.0111.0448.144
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    O. Renner, O. Klimo, M. Krus, Ph. Nicolaï, [in Chinese], A. Poletaeva, N. Bukharskii, V. T. Tikhonchuk. Hot-electron generation in high-intensity laser–matter experiments with copper targets[J]. Matter and Radiation at Extremes, 2025, 10(3): 037403

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    Paper Information

    Received: Oct. 31, 2024

    Accepted: Mar. 14, 2025

    Published Online: Jul. 16, 2025

    The Author Email: O. Renner (renner@fzu.cz)

    DOI:10.1063/5.0246250

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