Computing Nonlinear Force-Free Coronal Magnetic Fields in Spherical Geometry |
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Authors: | T Wiegelmann |
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Institution: | (1) Max-Planck-Institut für Sonnensystemforschung, Max-Planck-Strasse 2, 37191 Katlenburg-Lindau, Germany |
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Abstract: | We describe a newly developed code for the extrapolation of nonlinear force-free coronal magnetic fields in spherical coordinates.
The program uses measured vector magnetograms on the solar photosphere as input and solves the force-free equations in the
solar corona. The method is based on an optimization principle and the heritage of the newly developed code is a corresponding
method in Cartesian geometry. We test the newly developed code with the help of a semi-analytic solution and rate the quality
of our reconstruction qualitatively by magnetic field line plots and quantitatively with a number of comparison metrics. We
find that we can reconstruct the original test field with high accuracy. The method is fast if the computation is limited
to low co-latitudes (say 30°≤θ≤150°), but it becomes significantly slower if the polar regions are included. |
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