Astronomy and Astrophysics – Astronomy
Scientific paper
May 2011
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011spd....42.2118l&link_type=abstract
American Astronomical Society, SPD meeting #42, #21.18; Bulletin of the American Astronomical Society, Vol. 43, 2011
Astronomy and Astrophysics
Astronomy
Scientific paper
The state of the art for computing the magnetic energy in an active region's corona is to extrapolate a non-linear force-free field from vector magnetic field data. This method infers coronal properties from photospheric data without direct use of any coronal information. We present here an alternative which uses the shapes of loops visible in EUV or soft X-ray images to infer coronal currents. The method of Malanushenko et al. (2009) is used to infer magnetic field strength along each coronal loop. This sparse sampling of magnetic information is used in a Monte Carlo integral to compute the total magnetic energy. We also present a method for computing the free energy (the difference between the energy of the actual field and the corresponding potential field) directly as a single Monte Carlo integral. Both integrals are estimates with known statistical uncertainties which are reasonably small for samples as small as 25 loops. We demonstrate the method using a test field and then apply it to observations of an active region.
Longcope Dana
Malanushenko Anna
Tarr Lucas
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