Inversion of coronal Zeeman and Hanle Observations to reconstruct the coronal magnetic field

TL;DR

This paper explores the use of tomographic techniques to reconstruct the three-dimensional coronal magnetic field from Hanle and Zeeman effect observations, addressing the challenges posed by line-of-sight integration in the optically thin corona.

Contribution

It demonstrates that combining Zeeman and Hanle effect data from multiple vantage points enables more complete 3D magnetic field reconstructions in the solar corona.

Findings

Zeeman and Hanle data alone are sensitive only to certain magnetic structures.

Full 3D reconstruction requires combining both Zeeman and Hanle observations.

Simulated observations show potential for tomographic reconstruction of coronal magnetic fields.

Abstract

Hanle-effect observations of forbidden coronal line transitions and recently also longitudinal Zeeman-effect measurements of coronal lines show quantitative signatures of the weak coronal magnetic field. The interpretation of these observations is, however, complicated by the fact that they are the result of line-of-sight integrations through the optically thin corona. We study by means of simulated observations the possibility of applying tomographic techniques in order to reconstruct the 3D magnetic field configuration in the solar corona from these observations. The reconstruction problem relates to a family of similar problems termed vector tomography. It is shown that Zeeman data and Hanle data alone obtained from vantage points in the ecliptic plane alone are sensitive only to certain magnetic field structures. For a full reconstruction it is necessary to combine the longitudinal Zeeman and Hanle effect data.