Earth bound astronomical telescopes rely on Adaptive Optics systems in order to achieve a high imaging quality. In order to observe objects like extended galaxies, a correction for a larger field of view has to be obtained. This can be achieved by the use of the measurements of incoming wavefronts of multiple guide stars that allow a tomography based correction of the incoming light of the scientific object of interest. The correction is done by a deformable mirror, that has to be controlled in realtime. New data for the correction process are measured within milliseconds, and the related inverse problems have to be solved within the same timeframe. Thus a huge amount of data has to be processed and inverted during one night. Additionally, this data can be stored and later be used for image post processing.
In the talk, we in particular focus on the analysis and numerics of the atmospheric tomography operator, which describes the impact of turbulent atmospheric layers on light passing through the atmosphere. Additionally, we show that the collected data can be used to reconstruct the pointspread function of the telescope, and estimate the amount of data that needs to be processed.
