A Time-Evolving 3D Method Dedicated to the Reconstruction of Solar plumes and Results Using Extreme Ultra-Violet Data

TL;DR

This paper introduces a novel 4D reconstruction method for solar polar plumes that accounts for their temporal evolution using a bilinear inverse problem approach, demonstrated with SOHO/EIT data.

Contribution

It presents a new model and inversion technique to incorporate time evolution into 3D solar plume reconstructions from limited data.

Findings

Method reliably estimates plume evolution from single-view data.

Simulations confirm the method's robustness.

Application to SOHO/EIT data shows improved pole reconstructions.

Abstract

An important issue in the tomographic reconstruction of the solar poles is the relatively rapid evolution of the polar plumes. We demonstrate that it is possible to take into account this temporal evolution in the reconstruction. The difficulty of this problem comes from the fact that we want a 4D reconstruction (three spatial dimensions plus time) while we only have 3D data (2D images plus time). To overcome this difficulty, we introduce a model that describes polar plumes as stationary objects whose intensity varies homogeneously with time. This assumption can be physically justified if one accepts the stability of the magnetic structure. This model leads to a bilinear inverse problem. We describe how to extend linear inversion methods to these kinds of problems. Studies of simulations show the reliability of our method. Results for SOHO/EIT data show that we are able to estimate the temporal evolution of polar plumes in order to improve the reconstruction of the solar poles from only one point of view. We expect further improvements from STEREO/EUVI data when the two probes will be separated by about 60 degrees.