Analytical three-dimensional magnetohydrostatic equilibrium solutions for magnetic field extrapolation allowing a transition from non-force-free to force-free magnetic fields
Date
2019Funder
Grant ID
ST/K000950/1
ST/N000609/1
ST/S000402/1
Keywords
Metadata
Show full item recordAbstract
For the extrapolation of magnetic fields into the solar corona from measurements taken in the photosphere (or chromosphere) force-free magnetic fields are typically used. This does not take into account that the lower layers of the solar atmosphere are not force-free. While some numerical extrapolation methods using magnetohydrostatic magnetic fields have been suggested, a complementary and numerically comparatively cheap method is to use analytical magnetohydrostatic equilibria to extrapolate the magnetic field. In this paper, we present a new family of solutions for a special class of analytical three-dimensional magnetohydrostatic equilibria, which can be of use for such magnetic field extrapolation. The new solutions allow for the more flexible modeling of a transition from non-force-free to (linear) force-free magnetic fields. In particular, the height and width of the region where this transition takes place can be specified by choosing appropriate model parameters.
Citation
Neukirch , T & Wiegelmann , T 2019 , ' Analytical three-dimensional magnetohydrostatic equilibrium solutions for magnetic field extrapolation allowing a transition from non-force-free to force-free magnetic fields ' , Solar Physics , vol. 294 , 171 , pp. 1-18 . https://doi.org/10.1007/s11207-019-1561-0
Publication
Solar Physics
Status
Peer reviewed
ISSN
0038-0938Type
Journal article
Description
Funding: UK Science and Technology Facilities Council (STFC), Consolidated Grants ST/K000950/1, ST/N000609/1 and ST/S000402/1 (TN).Collections
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