Active Region Emissions and Coronal Field Extrapolations

Physics

Scientific paper

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Scientific paper

With vector magnetographs set to fly on the Solar--B mission, the extrapolation of photospheric magnetic fields into the corona will be increasingly important. As the techniques of coronal field extrapolations grow more sophisticated, we require a more powerful means to test them and to make full use of the information they contain. Radio data can play an important role in testing extrapolation methods. In this paper, we discuss a new test of coronal field extrapolation using the concept of field line connectivity. The motivating idea is that temperature should be nearly uniform on a given magnetic field line due to the rapid transport of physical quantities along field lines in the corona. Optically--thick gyroresonance emission provides the temperature on a surface of known magnetic field strength in the corona. As a consequence, we may expect that radio intensities observed at different frequencies at points connected by field lines should show a good correlation. This suggests that a test of a magnetic field extrapolation model is whether the field--line connectivity it predicts shows such a correlation. A second application of field--line connectivity is to try to understand the relationship between physical quantities in the photosphere at the footpoints of magnetic field lines and the heating process in the corona on the same field lines. If a particular magnetic quantity, such as shear, plays a role in coronal heating then one expects the coronal extension of field lines passing through peaks in this quantity will show the highest coronal temperatures. This idea can be used to test candidate coronal heating mechanisms. We demonstrate these ideas using the combination of high--resolution VLA observations of a complex active region together with state--of--the--art nonlinear force--free field modeling.

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