The Green's function method for a special class of linear three-dimensional magnetohydrostatic equilibria.

Thomas Neukirch, GJD Petrie

Research output: Contribution to journalArticlepeer-review

31 Citations (Scopus)

Abstract

We present the Green's function method for a special class of linear self-consistent three-dimensional solutions of the magnetohydrostatic (MHS) equations for which the current density is a combination of a linear force-free part and a part with non-fore e-free components. This allows the construction of MHS solutions of this class with arbitrary photospheric boundary conditions for B-z. These solutions can be used to extrapolate coronal magnetic fields from known longitudinal photospheric field data and provide a self-consistent description of magnetic field, plasma pressure, plasma density and plasma temperature. The method therefore allows a better comparison of models with observations of solar coronal structures. We will demonstrate how the method works by giving an illustrative example.

Original languageEnglish
Pages (from-to)735-746
Number of pages12
JournalAstronomy & Astrophysics
Volume356
Publication statusPublished - 10 Apr 2000

Keywords

  • Sun : corona
  • Sun : magnetic fields
  • magnetic fields
  • methods : analytical
  • CORONAL MAGNETIC-FIELD
  • ELECTRIC-CURRENT SYSTEMS
  • VECTOR MAGNETOGRAPH DATA
  • MAGNETOSTATIC ATMOSPHERES
  • 3-DIMENSIONAL STRUCTURES
  • CONSTANT-ALPHA
  • ACTIVE-REGION
  • BOUNDARY DATA
  • SOLAR CORONA
  • MODEL

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