Technical aspects of the speckle masking phase reconstruction algorithm

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astronomical Photography, Image Reconstruction, Seeing (Astronomy), Speckle Patterns, Diffraction Limited Cameras, Image Processing

Scientific paper

Technical problems that arise when the full four-dimensional speckle masking algorithm is implemented to reconstruct diffraction-limited two-dimensional images of astronomical objects are discussed, with particular emphasis on extended sources. The symmetries of the four-dimensional speckle masking bispectrum are used to relax computer memory requirements of the algorithm without loss of information. Further limits on the bispectrum reduce it to manageable sizes, but imply a loss of information. Various approaches of bispectrum truncation and the consequences for the phase recovery process are discussed, phase consistency and phase number diagrams are introduced as tools for quality assessment of the algorithm and the reconstruction. Different sequences for the phase recovery process are discussed as well. Sample reconstructions of a point source and of an extended object (a section of the solar photosphere) are presented.

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