Professor Anthony Yeates anthony.yeates@durham.ac.uk
Professor
Sparse reconstruction of electric fields from radial magnetic data
Yeates, A.R.
Authors
Abstract
Accurate estimates of the horizontal electric field on the Sun's visible surface are important not only for estimating the Poynting flux of magnetic energy into the corona but also for driving time-dependent magnetohydrodynamic models of the corona. In this paper, a method is developed for estimating the horizontal electric field from a sequence of radial-component magnetic field maps. This problem of inverting Faraday's law has no unique solution. Unfortunately, the simplest solution (a divergence-free electric field) is not realistically localized in regions of non-zero magnetic field, as would be expected from Ohm's law. Our new method generates instead a localized solution, using a basis pursuit algorithm to find a sparse solution for the electric field. The method is shown to perform well on test cases where the input magnetic maps are flux balanced, in both Cartesian and spherical geometries. However, we show that if the input maps have a significant imbalance of flux - usually arising from data assimilation - then it is not possible to find a localized, realistic, electric field solution. This is the main obstacle to driving coronal models from time sequences of solar surface magnetic maps.
Citation
Yeates, A. (2017). Sparse reconstruction of electric fields from radial magnetic data. Astrophysical Journal, 836(1), Article 131. https://doi.org/10.3847/1538-4357/aa5c84
Journal Article Type | Article |
---|---|
Acceptance Date | Jan 27, 2017 |
Online Publication Date | Feb 14, 2017 |
Publication Date | Feb 14, 2017 |
Deposit Date | Jan 27, 2017 |
Publicly Available Date | Mar 29, 2024 |
Journal | Astrophysical Journal |
Print ISSN | 0004-637X |
Electronic ISSN | 1538-4357 |
Publisher | American Astronomical Society |
Peer Reviewed | Peer Reviewed |
Volume | 836 |
Issue | 1 |
Article Number | 131 |
DOI | https://doi.org/10.3847/1538-4357/aa5c84 |
Related Public URLs | https://arxiv.org/abs/1701.06780 |
Files
Accepted Journal Article
(1 Mb)
PDF
Copyright Statement
© 2017. The American Astronomical Society. All rights reserved.
Published Journal Article
(2.7 Mb)
PDF
You might also like
Surface Flux Transport on the Sun
(2023)
Journal Article
Spherical winding and helicity
(2023)
Journal Article
Eruptivity Criteria for Two-dimensional Magnetic Flux Ropes in the Solar Corona
(2022)
Journal Article
Downloadable Citations
About Durham Research Online (DRO)
Administrator e-mail: dro.admin@durham.ac.uk
This application uses the following open-source libraries:
SheetJS Community Edition
Apache License Version 2.0 (http://www.apache.org/licenses/)
PDF.js
Apache License Version 2.0 (http://www.apache.org/licenses/)
Font Awesome
SIL OFL 1.1 (http://scripts.sil.org/OFL)
MIT License (http://opensource.org/licenses/mit-license.html)
CC BY 3.0 ( http://creativecommons.org/licenses/by/3.0/)
Powered by Worktribe © 2024
Advanced Search