Three-Dimensional Structure Analysis of Electric Current Helicity in AR NOAA 10930 Associated with the X3.4 Flare of 2006 December 13

Astronomy and Astrophysics – Astronomy

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We investigate the three-dimensional (3D) electric current helicity in active region NOAA 10930 before and after the 4B/X3.4 flare of 2006 December 13. By using the optimization method (Wheatland et al. 2000) as implemented by Wiegelmann (2004), we extrapolate the 3D nonlinear force-free magnetic fields. The Hinode vector magnetograms preprocessed by the method devised by Wiegelmann et al (2006) are used as the boundary conditions for the extrapolation. The averaged unsigned current helicity is calculated in local areas of the central darkening region around the flaring magnetic polarity inversion line and a peripheral brightening region at progressively higher altitude. We also examine the spatial relationship between the unsigned current helicity and soft X-ray emission from Hinode XRT.

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