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A Frame Decomposition of the Atmospheric Tomography Operator

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arxiv 2002.00880 v2 pith:J7FLBCSV submitted 2020-02-03 math.NA cs.NA

A Frame Decomposition of the Atmospheric Tomography Operator

Simon Hubmer , Ronny Ramlau This is my paper
classification math.NA cs.NA
keywords decompositionframeatmospherictomographyoperatorwelladaptiveallowing
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We consider the problem of atmospheric tomography, as it appears for example in adaptive optics systems for extremely large telescopes. We derive a frame decomposition, i.e., a decomposition in terms of a frame, of the underlying atmospheric tomography operator, extending the singular-value-type decomposition results of Neubauer and Ramlau (2017) by allowing a mixture of both natural and laser guide stars, as well as arbitrary aperture shapes. Based on both analytical considerations as well as numerical illustrations, we provide insight into the properties of the derived frame decomposition and its building blocks.

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