Abstract
The new generation of extremely large telescopes currently under construction relies on adaptive optics techniques for the correction of image degradation due to atmospheric turbulences. A crucial part of the correction is related to atmospheric tomography, which will be analyzed in this paper. In particular, we derive a singular value type decomposition for the related operator. Despite being a limited angle problem, we show that atmospheric tomography is, in general, not ill-posed, although ill-conditioned.
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