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The Green's function method for a special class of linear three-dimensional magnetohydrostatic equilibria
G.J.D. Petrie and
Received 28 September 1999 / Accepted 7 February 2000
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-forc e-free components. This allows the construction of MHS solutions of this class with arbitrary photospheric boundary conditions for . 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.
Key words: Sun: corona Sun: magnetic fields magnetic fields methods: analytical
Send offprint requests to: G.J.D. Petrie, (firstname.lastname@example.org)
Online publication: April 10, 2000