Estimating the Relative Helicity of Coronal Magnetic Fields

Details Estimating the Relative Helicity of Coronal Magnetic Fields Estimating the Relative Helicity of Coronal Magnetic Fields

Sep 2011

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011soph..272..243t&link_type=abstract

Solar Physics, Volume 272, Issue 2, pp.243-255

Physics

1

Helicity, Magnetic, Magnetic Fields, Corona

Scientific paper

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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