%0 Generic %1 neukirch2019analytical %A Neukirch, Thomas %A Wiegelmann, Thomas %D 2019 %K fields force free to %T Analytical Three-dimensional Magnetohydrostatic Equilibrium Solutions for Magnetic Field Extrapolation Allowing a Transition from Non-force-free to Force-free Magnetic Fields %U http://arxiv.org/abs/1911.11084 %X 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 modelling 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.

@misc{neukirch2019analytical, abstract = {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 modelling 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.}, added-at = {2019-11-28T08:59:22.000+0100}, author = {Neukirch, Thomas and Wiegelmann, Thomas}, biburl = {https://www.bibsonomy.org/bibtex/2808d47db8e26f27e2a7806955ce73977/ericblackman}, description = {Analytical Three-dimensional Magnetohydrostatic Equilibrium Solutions for Magnetic Field Extrapolation Allowing a Transition from Non-force-free to Force-free Magnetic Fields}, interhash = {f8d4a0b72691d80a4066f847322c5070}, intrahash = {808d47db8e26f27e2a7806955ce73977}, keywords = {fields force free to}, note = {cite arxiv:1911.11084Comment: 21 pages, 9 figures, accepted for publication in Solar Physics}, timestamp = {2019-11-28T08:59:22.000+0100}, title = {Analytical Three-dimensional Magnetohydrostatic Equilibrium Solutions for Magnetic Field Extrapolation Allowing a Transition from Non-force-free to Force-free Magnetic Fields}, url = {http://arxiv.org/abs/1911.11084}, year = 2019 }