Matter and Radiation at Extremes, Volume. 7, Issue 1, 015901(2022)

Stark–Zeeman line-shape model for multi-electron radiators in hot dense plasmas subjected to large magnetic fields

Sandrine Ferria), Olivier Peyrusse, and Annette Calisti
Author Affiliations
  • Aix-Marseille Université, CNRS, PIIM, UMR7345, Marseille, France
  • show less
    Figures & Tables(12)
    Stark–Zeeman (SZ)-broadened Balmer-series lines for Ne = 1017 cm−3, Te = 5 eV, and B = (a) 100 T, (b) 500 T, and (c) 1 kT with (solid) and without (dashed) quadratic terms. The direction of observation is transverse to the B-field direction.
    G(Δω) calculated for hydrogen Lyman-α line at Ne = 1017 cm−3 and Te = 5 eV for different B-field values that modify the cutoff frequency ωL: B = 100 T (short-dash), B = 500 T (dot-dash), and B = 1 kT (double-dot-dash). For comparison, the G(Δω) functions are shown for the non-magnetized case (solid line).
    SZ Lyman-α line profiles of C VI, using the weak-field (dashed) and intermediate-field (solid) approximations for B = 100 T, Ne = 5 × 1019 cm−3, Te = 100 eV. The short-dashed line corresponds to the pure Stark profile.
    As Fig. 3 but for B = 500 T.
    As Fig. 3 but for B = 103 T.
    SZ C IV n = 4 to n = 5 polarized line profiles for Ne = 2 × 1019 cm−3, T = 10 eV, B = 0 (dot), B = 100 T (solid), B = 200 T (dash), B = 300 T (dot-dash), and B = 500 T (double-dot-dash): (a) σ components; (b) π components. The experimental results64 are plotted with solid plus signs.
    Comparisons of SZ-broadened n = 4 to n = 5 line transitions for C IV (solid), N V (dash), and O VI (dot-dash) at B = 500 T, Ne = 2 × 1018 cm−3, Te = 10 eV: (a) σ components; (b) π components.
    Polarization degree of C IV n = 4 to n = 5 lines for Ne = 2 × 1018 cm−3, Te = 10 eV, B = 100 T (solid), B = 200 T (dash), B = 300 T (dot-dash), and B = 500 T (double-dot-dash).
    SZ line shapes, σ (solid) and π (dash) components, and corresponding polarization degree of O VI n = 4 to n = 5 lines for B = 100 T at Ne = 2 × 1018 cm−3 and Te = 10 eV.
    Calculations of (a) Ar He-α and (b) He-β SZ spectral lines for Ne = 5 × 1023 cm−3, Te = 2 keV, B = 0 (solid), B = 20 kT (dash), and B = 40 kT (dot-dash). A convolution with an instrumental resolution of E/ΔE = 1800 is performed, and the observation is parallel to the magnetic field.
    • Table 1. Critical values of magnetic field at which spin–orbit interaction is of same order of magnitude as magnetic interaction. Estimations are for hydrogen-like and lithium-like ionization stages of elements of interest in this work.

      View table
      View in Article

      Table 1. Critical values of magnetic field at which spin–orbit interaction is of same order of magnitude as magnetic interaction. Estimations are for hydrogen-like and lithium-like ionization stages of elements of interest in this work.

      ElementBc (T)
      H-likeLi-like
      H (Z = 1)0.78
      C (Z = 6)103270
      Si (Z = 14)30 × 10318 × 103
      Ar (Z = 18)80 × 10355 × 103
    • Table 2. Electron density Ne and critical B-field Bh for electrons in plasmas of interest (with values of magnetic field commonly measured in these plasmas).

      View table
      View in Article

      Table 2. Electron density Ne and critical B-field Bh for electrons in plasmas of interest (with values of magnetic field commonly measured in these plasmas).

      Magnetized plasmasNe (cm−3)Bh (T)
      Tokamak edge plasmas (B ∼ a few teslas)10131
      White dwarf (B ∼ 100 T to 1 kT)1017100
      Laser plasmas (B < 500 T)10203.2 × 103
      Imploded targets (B ∼ a few kiloteslas)1023100 × 103
    Tools

    Get Citation

    Copy Citation Text

    Sandrine Ferri, Olivier Peyrusse, Annette Calisti. Stark–Zeeman line-shape model for multi-electron radiators in hot dense plasmas subjected to large magnetic fields[J]. Matter and Radiation at Extremes, 2022, 7(1): 015901

    Download Citation

    EndNote(RIS)BibTexPlain Text
    Save article for my favorites
    Paper Information

    Category: Inertial Confinement Fusion Physics

    Received: May. 31, 2021

    Accepted: Nov. 3, 2021

    Published Online: Apr. 6, 2022

    The Author Email: Sandrine Ferri (sandrine.ferri@univ-amu.fr)

    DOI:10.1063/5.0058552

    Topics