Magnetic modelling and tomography: First steps towards a consistent reconstruction of the solar corona

TL;DR

This paper presents an initial approach to reconstructing the solar corona's magnetic and density structures simultaneously using magnetohydrostatic equations, tomographic data, and optimization techniques, aiming for a more consistent model.

Contribution

It introduces a novel optimization scheme that integrates tomographic data into magnetic field reconstruction and vice versa, advancing solar corona modeling.

Findings

Successful testing with analytic equilibria and models

Demonstrated integration of tomographic data improves magnetic field reconstruction

Potential application within the STEREO mission for solar observations

Abstract

We undertake a first attempt towards a consistent reconstruction of the coronal magnetic field and the coronal density structure. We consider a stationary solar corona which has to obey the equations of magnetohydrostatics. We solve these equations with help of a newly developed optimization scheme. As a first step we illustrate how tomographic information can be included into the reconstruction of coronal magnetic fields. In a second step we use coronal magnetic field information to improve the tomographic inversion process. As input the scheme requires magnetic field measurements on the photosphere from vector-magnetographs and the line-of-sight integrated density distribution from coronagraphs. We test our codes with well known analytic magnetohydrostatic equilibria and models. The program is planed for use within the STEREO mission.