Fast iterative tomographic wavefront estimation with recursive Toeplitz reconstructor structure for large-scale systems
| Autor: | Ono, Yoshito H., Correia, Carlos, Conan, Rodolphe, Blanco, Leonardo, Neichel, Benoit, Fusco, Thierry |
|---|---|
| Přispěvatelé: | Subaru Telescope, National Astronomical Observatory of Japan (NAOJ), Laboratoire d'Astrophysique de Marseille (LAM), Centre National de la Recherche Scientifique (CNRS)-Institut national des sciences de l'Univers (INSU - CNRS)-Aix Marseille Université (AMU)-Centre National d'Études Spatiales [Toulouse] (CNES), Giant Magellan Telescope Corporation, DOTA, ONERA, Université Paris Saclay (COmUE) [Palaiseau], ONERA-Université Paris Saclay (COmUE), Aix Marseille Université (AMU)-Institut national des sciences de l'Univers (INSU - CNRS)-Centre National d'Études Spatiales [Toulouse] (CNES)-Centre National de la Recherche Scientifique (CNRS) |
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: | |
| Zdroj: | Journal of the Optical Society of America. A Optics, Image Science, and Vision Journal of the Optical Society of America. A Optics, Image Science, and Vision, Optical Society of America, 2018, 35 (8), pp.1330-1345. ⟨10.1364/JOSAA.35.001330⟩ Journal of the Optical Society of America. A Optics, Image Science, and Vision, 2018, 35 (8), pp.1330-1345. ⟨10.1364/JOSAA.35.001330⟩ |
| ISSN: | 1084-7529 1520-8532 |
| Popis: | Tomographic wave-front reconstruction is the main computational bottleneck to realize real-time correction for turbulence-induced wave-front aberrations in future laser-assisted tomographic adaptive-optics (AO) systems for ground-based Giant Segmented Mirror Telescopes (GSMT), because of its unprecedented number of degrees of freedom, $N$, i.e. the number of measurements from wave-front sensors (WFS). In this paper, we provide an efficient implementation of the minimum-mean-square error (MMSE) tomographic wave-front reconstruction mainly useful for some classes of AO systems not requiring a multi-conjugation, such as laser-tomographic AO (LTAO), multi-object AO (MOAO) and ground-layer AO (GLAO) systems, but also applicable to multi-conjugate AO (MCAO) systems. This work expands that by R. Conan [ProcSPIE, 9148, 91480R (2014)] to the multi-wave-front, tomographic case using natural and laser guide stars. The new implementation exploits the Toeplitz structure of covariance matrices used in a MMSE reconstructor, which leads to an overall $O(N\log N)$ real-time complexity compared to $O(N^2)$ of the original implementation using straight vector-matrix multiplication. We show that the Toeplitz-based algorithm leads to 60\,nm rms wave-front error improvement for the European Extremely Large Telescope Laser-Tomography AO system over a well-known sparse-based tomographic reconstruction, but the number of iterations required for suitable performance is still beyond what a real-time system can accommodate to keep up with the time-varying turbulence 16 pages, 17 figures, Paper accepted for publication in "Journal of the Optical Society of America A" |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|