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Analytical three-dimensional magnetohydrostatic equilibrium solutions for magnetic field extrapolation allowing a transition from non-force-free to force-free magnetic fields

Thomas Neukirch, Thomas Wiegelmann

Research output: Contribution to journal › Article › peer-review

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 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.
Original languageEnglish
Article number171
Pages (from-to)1-18
Number of pages18
JournalSolar Physics
Volume294
Early online date10 Dec 2019
DOIs
Publication statusPublished - 2019

Keywords

  • Magnetic fields, models
  • Magnetic fields, corona
  • Magnetic fields, chromosphere
  • Magnetic fields, photosphere

Access to Document

  • Neukirch-Wiegelmann2019_Article_AnalyticalThree-dimensionalMag

    © The Author(s) 2019. Open Access. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.

    Final published version, 2.19 MBLicence: CC BY

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