A method for global inversion of multi-resolution solar data

TL;DR

This paper introduces a novel global inversion method that effectively combines multi-resolution solar data from different telescopes, enhancing the analysis of the solar atmosphere's complex dynamics.

Contribution

The proposed method utilizes linear operators within a Levenberg-Marquardt framework to integrate diverse datasets, accounting for resolution differences and improving spatial information extraction.

Findings

Successfully reconstructs spatial information from simulated multi-resolution datasets.

Demonstrates no negative effects when combining data at different resolutions.

Applicable to chromospheric studies and bridging resolution gaps in solar observations.

Abstract

Understanding the complex dynamics and structure of the upper solar atmosphere benefits strongly from the use of a combination of several diagnostics. Frequently, such diverse diagnostics can only be obtained from telescopes and/or instrumentation operating at widely different spatial resolution. To optimize the utilization of such data, we propose a new method for the global inversion of data acquired at different spatial resolution. The method has its roots in the Levenberg-Marquardt algorithm but involves the use of linear operators to transform and degrade the synthetic spectra of a highly resolved guess model to account for the the effects of spatial resolution, data sampling, alignment and image rotation of each of the data sets. We have carried out a list of numerical experiments to show that our method allows extracting spatial information from two simulated datasets that have gone through two different telescope apertures and that are sampled in different spatial grids. Our results show that each dataset contributes in the inversion by constraining information at the spatial scales that are present in each of the datasets, without any negative effects derived from the combination of multiple resolution data. This method is especially relevant for chromospheric studies that attempt at combining datasets acquired with different telescopes and/or datasets acquired at different wavelengths, both limiting factors in the resolution of solar instrumentation. The techniques described in the present study will also help addressing the ever increasing resolution gap between space-borne missions and forthcoming ground-based facilities.