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

doi:10.1007/s11207-019-1561-0

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

Applied Mathematics

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 language	English
Article number	171
Pages (from-to)	1-18
Number of pages	18
Journal	Solar Physics
Volume	294
Early online date	10 Dec 2019
DOIs	https://doi.org/10.1007/s11207-019-1561-0
Publication status	Published - 2019

Keywords

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

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10.1007/s11207-019-1561-0Licence: CC BY

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

Solar and Magnetospheric: Solar and Magnetospheric Magnetohydrodynamics and Plasmas: Theory and Application
Hood, A. W. (PI), Archontis, V. (CoI), De Moortel, I. (CoI), Mackay, D. H. (CoI), Neukirch, T. (CoI), Parnell, C. E. (CoI) & Wright, A. N. (CoI)
Science & Technology Facilities Council
1/04/19 → 31/03/22
Project: Standard
Solar and Magnetospheric - Consolidated: Solar and Magnetospheric Magnetohydrodynamics and Plasmas: Theory and Application
Hood, A. W. (PI), Archontis, V. (CoI), De Moortel, I. (CoI), Mackay, D. H. (CoI), Neukirch, T. (CoI), Parnell, C. E. (CoI) & Wright, A. N. (CoI)
Science & Technology Facilities Council
1/04/16 → 31/03/19
Project: Standard
Plasma Theory: Solar and Magnetospheric Plasma Theory
Hood, A. W. (PI), Mackay, D. H. (CoI), Neukirch, T. (CoI), Parnell, C. E. (CoI), Priest, E. (CoI), Archontis, V. (Researcher), Cargill, P. (Researcher), De Moortel, I. (Researcher) & Wright, A. N. (Researcher)
Science & Technology Facilities Council
1/04/13 → 31/03/16
Project: Standard

Cite this

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

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.",

keywords = "Magnetic fields, models, Magnetic fields, corona, Magnetic fields, chromosphere, Magnetic fields, photosphere",

author = "Thomas Neukirch and Thomas Wiegelmann",

note = "Funding: UK Science and Technology Facilities Council (STFC), Consolidated Grants ST/K000950/1, ST/N000609/1 and ST/S000402/1 (TN).",

year = "2019",

doi = "10.1007/s11207-019-1561-0",

language = "English",

volume = "294",

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journal = "Solar Physics",

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T1 - Analytical three-dimensional magnetohydrostatic equilibrium solutions for magnetic field extrapolation allowing a transition from non-force-free to force-free magnetic fields

AU - Neukirch, Thomas

AU - Wiegelmann, Thomas

N1 - Funding: UK Science and Technology Facilities Council (STFC), Consolidated Grants ST/K000950/1, ST/N000609/1 and ST/S000402/1 (TN).

PY - 2019

Y1 - 2019

N2 - 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.

AB - 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.

KW - Magnetic fields, models

KW - Magnetic fields, corona

KW - Magnetic fields, chromosphere

KW - Magnetic fields, photosphere

U2 - 10.1007/s11207-019-1561-0

DO - 10.1007/s11207-019-1561-0

M3 - Article

SN - 0038-0938

VL - 294

SP - 1

EP - 18

JO - Solar Physics

JF - Solar Physics

M1 - 171

ER -

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

Abstract

Keywords

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Projects

Solar and Magnetospheric: Solar and Magnetospheric Magnetohydrodynamics and Plasmas: Theory and Application

Solar and Magnetospheric - Consolidated: Solar and Magnetospheric Magnetohydrodynamics and Plasmas: Theory and Application

Plasma Theory: Solar and Magnetospheric Plasma Theory

Cite this