Optimal projection of reconstructed layers onto deformable mirrors with fractal iterative method for AO tomography

E. Brunner; Cl. Béchet; M. Tallon

doi:10.1117/12.926809

13 September 2012 Optimal projection of reconstructed layers onto deformable mirrors with fractal iterative method for AO tomography

E. Brunner, Cl. Béchet, M. Tallon

Author Affiliations +

Proceedings Volume 8447, Adaptive Optics Systems III; 84475I (2012) https://doi.org/10.1117/12.926809
Event: SPIE Astronomical Telescopes + Instrumentation, 2012, Amsterdam, Netherlands

Abstract

FrIM-3D is a novel algorithm developed for high performance in Adaptive Optics (AO) on the Extremely Large Telescopes. It particularly solves the problem of the minimum-variance tomographic reconstruction involved in AO. Until recently however, it was missing an optimal projection of the reconstructed atmosphere on the space of deformable mirrors, to guarantee the best performance for every tomographic AO system. In this paper, we present a formal solution to this projection problem. For that, a formalism based on continuous functions and modeling of the AO is chosen, in order to clearly analyze the modeling approximations. The projector is defined as the solution of an optimization problem with respect to AO objectives, potentially different for every wide-field AO system. After the projector derivation, we describe a fast algorithm to apply it, and in particular how to handle the piston-removal computations. This algorithm is currently being implemented as part of FrIM-3D.

Citation Download Citation

E. Brunner, Cl. Béchet, and M. Tallon "Optimal projection of reconstructed layers onto deformable mirrors with fractal iterative method for AO tomography", Proc. SPIE 8447, Adaptive Optics Systems III, 84475I (13 September 2012); https://doi.org/10.1117/12.926809

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