Improving Coronal Magnetic Extrapolations with Observed Loop Morphologies

Mathematics – Logic

Scientific paper

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7509 Corona, 7524 Magnetic Fields, 7529 Photosphere

Scientific paper

We present a method for improving non-linear force free field extrapolations of a coronal magnetic field from a photospheric vector magnetogram. We first calculate an initial coronal magnetic field using the non-linear force free code of McTiernan, available as a SolarSoft distribution. This method approximates a force free field using an optimization method developed by Wheatland, Sturrock, and Roumeliotis. In the initial implementation, we begin the optimization from a potential field solution. Once the solution has relaxed to a largely force free configuration, we compare it to coronal loop X-ray or EUV observations of an active region. At this stage, if there are deviations from the observed loop morphology, we apply a geometric transformation to improve morphological agreement of our field extrapolation and the oberved loops. This new configuration is then used as the initial starting point for a new optimization calculation, bringing the morphed configuration to a nearly force-free and divergence-free state. We evaluate the merits of this revised methodology for coronal magnetic field extrapolations.

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