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Title:
A Self-Consistent Nonlinear Force-Free Solution for a Solar Active Region Magnetic Field
Authors:
Wheatland, M. S.; Régnier, S.
Affiliation:
AA( Sydney Institute for Astronomy, School of Physics, University of Sydney, NSW 2006, Australia ), AB( School of Mathematics and Statistics, University of St Andrews, St Andrews, Fife KY16 9SS, UK )
Publication:
The Astrophysical Journal Letters, Volume 700, Issue 2, pp. L88-L91 (2009). (ApJL Homepage)
Publication Date:
08/2009
Origin:
IOP
ApJ Keywords:
Sun: corona, Sun: magnetic fields
DOI:
10.1088/0004-637X/700/2/L88
Bibliographic Code:
2009ApJ...700L..88W

Abstract

Nonlinear force-free solutions for the magnetic field in the solar corona constructed using photospheric vector magnetic field boundary data suffer from a basic problem: the observed boundary data are inconsistent with the nonlinear force-free model. Specifically, there are two possible choices of boundary conditions on vertical current provided by the data, and the two choices lead to different force-free solutions. A novel solution to this problem is described. Bayesian probability is used to modify the boundary values on current density, using field-line connectivity information from the two force-free solutions and taking into account uncertainties, so that the boundary data are more consistent with the two nonlinear force-free solutions. This procedure may be iterated until a set of self-consistent boundary data (the solutions for the two choices of boundary conditions are the same) is achieved. The approach is demonstrated to work in application to Hinode/Solar Optical Telescope observations of NOAA active region 10953.
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