Combining magneto-hydrostatic constraints with Stokes profile inversions. IV. Imposing ∇· B=0 condition
arxiv(2024)
Abstract
Inferences of the magnetic field in the solar atmosphere by means of
spectropolarimetric inversions (i.e., Stokes inversion codes) yield magnetic
fields that are non-solenoidal(∇· B 0). Because of this,
results obtained by such methods are sometimes put into question. We aim to
develop and implement a new technique that can retrieve magnetic fields that
are simultaneously consistent with observed polarization signals and with the
null divergence condition. The method used in this work strictly imposes
∇· B=0 by determining the vertical component of the magnetic
field (B_ z) from the horizontal ones (B_ x,B_ y). We
implement this solenoidal inversion into the FIRTEZ Stokes inversion code and
apply it to spectropolarimetric observations of a sunspot observed with the
Hinode/SP instrument. We show that the solenoidal inversion retrieves a
vertical component of the magnetic field that is consistent with the vertical
component of the magnetic field inferred from the non-solenoidal one. We
demonstrate that the solenoidal inversion is capable of a better overall
fitting to the observed Stokes vector than the non-solenoidal inversion. In
fact, the solenoidal magnetic field fits Stokes V worse, but this is
compensated by a better fit to Stokes I. We find a direct correlation between
the worsening in the fit to the circular polarization profiles by the
solenoidal inversion and the deviations in the inferred B_ z with
respect to the non-solenoidal inversion. These results support the idea that
common Stokes inversion techniques fail to reproduce ∇· B=0
mainly as a consequence of the uncertainties in the determination of the
individual components of the magnetic field.
MoreTranslated text
AI Read Science
Must-Reading Tree
Example
![](https://originalfileserver.aminer.cn/sys/aminer/pubs/mrt_preview.jpeg)
Generate MRT to find the research sequence of this paper
Chat Paper
Summary is being generated by the instructions you defined