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Layer-oriented multigrid wavefront reconstruction algorithms for multiconjugate adaptive optics

Gilles, L. and Ellerbroek, B. L. and Vogel, C. R. (2003) Layer-oriented multigrid wavefront reconstruction algorithms for multiconjugate adaptive optics. In: Adaptive Optical System Technologies II. Proceedings of SPIE. No.4839. Society of Photo-optical Instrumentation Engineers (SPIE) , Bellingham, WA, pp. 1011-1022. ISBN 0819446181. https://resolver.caltech.edu/CaltechAUTHORS:20180702-161945478

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Abstract

Multi-conjugate adaptive optics (MCAO) systems with 10^4-10^5 degrees of freedom have been proposed for future giant telescopes. Using standard matrix methods to compute, optimize, and implement wavefront control algorithms for these systems is impractical, since the number of calculations required to compute and apply the reconstruction matrix scales respectively with the cube and the square of the number of AO degrees of freedom. In this paper, we develop an iterative sparse matrix implementation of minimum variance wavefront reconstruction for telescope diameters up to 32m with more than 104 actuators. The basic approach is the preconditioned conjugate gradient method, using a multigrid preconditioner incorporating a layer-oriented (block) symmetric Gauss-Seidel iterative smoothing operator. We present open-loop numerical simulation results to illustrate algorithm convergence.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1117/12.459347DOIArticle
Additional Information:© 2003 Society of Photo-optical Instrumentation Engineers (SPIE). We acknowledge the support of the US Air Force Office of Scientific Research and the Gemini Observatory, which is operated by the Association of Universities for Research in Astronomy, Inc., under a cooperative agreement with the NSF on behalf of the Gemini Partnership: the National Science Foundation (United States), the Particle Physics and Astronomy Research Council (United Kingdom), the National Research Council (Canada), CONICYT (Chile), the Australian Research Council (Australia), CNPq (Brazil), and CONICET (Argentina).
Funders:
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR)UNSPECIFIED
Gemini ObservatoryUNSPECIFIED
Subject Keywords:Multi-Conjugate Adaptive Optics, Wavefront Reconstruction, Multigrid
Series Name:Proceedings of SPIE
Issue or Number:4839
Record Number:CaltechAUTHORS:20180702-161945478
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20180702-161945478
Official Citation:Luc Gilles, Brent L. Ellerbroek, Curtis R. Vogel, "Layer-oriented multigrid wavefront reconstruction algorithms for multiconjugate adaptive optics", Proc. SPIE 4839, Adaptive Optical System Technologies II, (7 February 2003); doi: 10.1117/12.459347; https://doi.org/10.1117/12.459347
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:87536
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:03 Jul 2018 17:48
Last Modified:03 Oct 2019 19:57

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