The relationship between chromospheric emissions and magnetic field strength

TL;DR

This study investigates the correlation between chromospheric emissions at various heights and photospheric magnetic fields using multi-instrument observational data, revealing a power-law relationship and differences between network and internetwork regions.

Contribution

It introduces the first analysis incorporating high-resolution interferometric millimeter data to study chromospheric magnetic and emission correlations.

Findings

Chromospheric brightness maps the underlying magnetic field well.

A power-law describes the relationship between magnetic field and emission.

Differences in magnetic dependence are observed between network and internetwork regions.

Abstract

Aims. We analyze observational data from 4 instruments to study the correlations between chromospheric emission, spanning the heights from the temperature minimum region to the middle chromosphere, and photospheric magnetic field. Methods: The data consist of radio images at 3.5 mm from the Berkeley-Illinois-Maryland Array (BIMA), UV images at 1600 A from TRACE, Ca II K-line filtergrams from BBSO, and MDI/SOHO longitudinal photospheric magnetograms. For the first time interferometric millimeter data with the highest currently available resolution are included in such an analysis. We determine various parameters of the intensity maps and correlate the intensities with each other and with the magnetic field. Results: The chromospheric diagnostics studied here show a pronounced similarity in their brightness structures and map out the underlying photospheric magnetic field relatively well. We find a power law to be a good representation of the relationship between photospheric magnetic field and emission from chromospheric diagnostics at all wavelengths. The dependence of chromospheric brightness on magnetic field is found to be different for network and internetwork regions.