Fourier-domain wave-front reconstruction for large adaptive optical systems

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Scientific paper

The astronomical community has now turned its attention to the development of adaptive optical systems (AOS) with a very large number of degrees-of-freedom (DoF), of which the new XAO (Extreme AO) and MOAO (Multi-Object AO) for Extremely Large Telescopes (ELT). To tackle the wave-front reconstruction computational burden, spatial-frequency methods (FFTr) have been developed for systems featuring Shack-Hartmann wave-front sensors, which are considerably faster than standard vector-matrix multiplies (VMMr) and start being competitive in terms of performance. We review their theoretical properties and the methods of extension and circularization, for which we propose new techniques. Applicability to open- and closed-loop systems is discussed by means of simulation results. Comparison with the VMM is presented to highlight their pros and cons.

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