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<p>There are observational evidences supporting the existence of twisted magnetic fields in the solar corona. The dispersive properties and resonant absorption of the fast sausage modes (FSMs) in a twisted coronal loop are investigated. The coronal loop is modeled as a structured straight magnetic cylinder with an azimuthal magnetic field throughout in addition to an axis-aligned longitudinal magnetic field. The dispersion relation (DR) of FSMs is derived by numerically solving the eigenvalue problem (EVP) resulting from the one-dimensional resistive magnetohydrodynamic (MHD) equations. Our results confirm the previous conclusion that the principal FSM exhibits no cutoff, implying that this mode can propagate with arbitrary wavelengths. The dependencies of the oscillation frequency and damping rates of FSMs on the magnetic twist and longitudinal wavenumber are examined. For the flux tube parameters considered in this paper, we find that the damping of FSMs is too weak to produce observable signals in actual observations.</p>

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Fast Sausage Waves in Twisted Coronal Loops with Continuous Equilibrium Distribution

  • 期刊论文

  • 发表日期：

    2026年7月22日

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  • Shao-Xia Chen,
  • Bo Li,
  • Mijie Shi

摘要

There are observational evidences supporting the existence of twisted magnetic fields in the solar corona. The dispersive properties and resonant absorption of the fast sausage modes (FSMs) in a twisted coronal loop are investigated. The coronal loop is modeled as a structured straight magnetic cylinder with an azimuthal magnetic field throughout in addition to an axis-aligned longitudinal magnetic field. The dispersion relation (DR) of FSMs is derived by numerically solving the eigenvalue problem (EVP) resulting from the one-dimensional resistive magnetohydrodynamic (MHD) equations. Our results confirm the previous conclusion that the principal FSM exhibits no cutoff, implying that this mode can propagate with arbitrary wavelengths. The dependencies of the oscillation frequency and damping rates of FSMs on the magnetic twist and longitudinal wavenumber are examined. For the flux tube parameters considered in this paper, we find that the damping of FSMs is too weak to produce observable signals in actual observations.