Simulation results for a finite element-based cumulative reconstructor

Roland Wagner; Andreas Neubauer; Ronny Ramlau

doi:10.1117/1.JATIS.3.4.049001

4 October 2017 Simulation results for a finite element-based cumulative reconstructor

Roland Wagner, Andreas Neubauer, Ronny Ramlau

Journal of Astronomical Telescopes, Instruments, and Systems, Vol. 3, Issue 4, 049001 (October 2017). https://doi.org/10.1117/1.JATIS.3.4.049001

Abstract

Modern ground-based telescopes rely on adaptive optics (AO) systems for the compensation of image degradation caused by atmospheric turbulences. Within an AO system, measurements of incoming light from guide stars are used to adjust deformable mirror(s) in real time that correct for atmospheric distortions. The incoming wavefront has to be derived from sensor measurements, and this intermediate result is then translated into the shape(s) of the deformable mirror(s). Rapid changes of the atmosphere lead to the need for fast wavefront reconstruction algorithms. We review a fast matrix-free algorithm that was developed by Neubauer to reconstruct the incoming wavefront from Shack–Hartmann measurements based on a finite element discretization of the telescope aperture. The method is enhanced by a domain decomposition ansatz. We show that this algorithm reaches the quality of standard approaches in end-to-end simulation while at the same time maintaining the speed of recently introduced solvers with linear order speed.

Citation Download Citation

Roland Wagner, Andreas Neubauer, and Ronny Ramlau "Simulation results for a finite element-based cumulative reconstructor," Journal of Astronomical Telescopes, Instruments, and Systems 3(4), 049001 (4 October 2017). https://doi.org/10.1117/1.JATIS.3.4.049001

Received: 17 March 2017; Accepted: 11 September 2017; Published: 4 October 2017

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