Estimating the Relative Helicity of Coronal Magnetic Fields |
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| Authors: | J K Thalmann B Inhester T Wiegelmann |
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| Institution: | 1.Max-Planck-Institut für Sonnensystemforschung,Katlenburg-Lindau,Germany |
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| Abstract: | To quantify changes of the solar coronal field connectivity during eruptive events, one can use magnetic helicity, which is
a measure of the shear or twist of a current-carrying (non-potential) field. To find a physically meaningful quantity, a relative
measure, giving the helicity of a current-carrying field with respect to a reference (potential) field, is often evaluated.
This requires a knowledge of the three-dimensional vector potential. We present a method to calculate the vector potential
for a solenoidal magnetic field as the sum of a Laplacian part and a current-carrying part. The only requirements are the
divergence freeness of the Laplacian and current-carrying magnetic field and the sameness of their normal field component
on the bounding surface of the considered volume. |
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