Centre to limb brightness variations from ALMA full disk solar images

TL;DR

This study analyzes ALMA solar images to empirically determine and remove centre to limb brightness variations, revealing limb brightening effects and their implications for solar atmospheric properties.

Contribution

It provides the first empirical centre to limb brightness functions for ALMA solar images and introduces a method to create flattened images by removing limb brightening effects.

Findings

Limb brightening increases brightness by about 10-15% in ALMA bands.

Fitted functions describe limb brightening with small errors, confirming the method's effectiveness.

Flattened images facilitate more accurate solar feature analysis.

Abstract

Science Verification (SV) data of solar observations with Atacama Large Millimeter-submillimeter Array (ALMA) telescope were released to the scientific community. Understanding the centre to limb brightness function is necessary to compare features in full disk images. Our goals are to find the empirical centre to limb brightness functions in two available spectral bands and create flattened images with centre to limb brightness variations removed. We used second-order polynomial fit of the cosine of incidence angle to data points as a function of radial distance to the centre of the solar disk. The method also includes iterative removal of outliers based on the interquartile range. Fitting functions for all available images proved to adequately describe the data with comparatively small errors in the fitting coefficients. In both bands we found brightening towards the limb which is a consequence of increase in electron temperatures with radial distance in this region of the solar atmosphere. This study found that the $T_{b}$ of an active region has about 180 K difference between with and without the limb brightening at radial distance $\approx$0.75$R_{\odot}$ in Band 6. We also made flattened images with limb brightening removed. The limb brightening effect in ALMA images is significant enough (of the order of 10% for Band 3 and about 15% in Band 6) that it can not be neglected in further analyses. Since the effect of the side lobes was not included in this study, these values probably represent the lower limit of the limb brightening. The shape of the limb brightening function can also be used to constrain electron densities and temperatures in various layers of the solar atmosphere.