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Distributed Kalman filtering compared to Fourier domain preconditioned conjugate gradient for laser guide star tomography on extremely large telescopes

Gilles, Luc and Massioni, Paolo and Kulcsár, Caroline and Raynaud, Henri-François and Ellerbroek, Brent (2013) Distributed Kalman filtering compared to Fourier domain preconditioned conjugate gradient for laser guide star tomography on extremely large telescopes. Journal of the Optical Society of America A, 30 (5). pp. 898-909. ISSN 1084-7529. https://resolver.caltech.edu/CaltechAUTHORS:20130611-095430884

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Abstract

This paper discusses the performance and cost of two computationally efficient Fourier-based tomographic wavefront reconstruction algorithms for wide-field laser guide star (LGS) adaptive optics (AO). The first algorithm is the iterative Fourier domain preconditioned conjugate gradient (FDPCG) algorithm developed by Yang et al. [Appl. Opt. 45, 5281 (2006)], combined with pseudo-open-loop control (POLC). FDPCG’s computational cost is proportional to N log(N), where N denotes the dimensionality of the tomography problem. The second algorithm is the distributed Kalman filter (DKF) developed by Massioni et al. [J. Opt. Soc. Am. A 28, 2298 (2011)], which is a noniterative spatially invariant controller. When implemented in the Fourier domain, DKF’s cost is also proportional to N log(N). Both algorithms are capable of estimating spatial frequency components of the residual phase beyond the wavefront sensor (WFS) cutoff frequency thanks to regularization, thereby reducing WFS spatial aliasing at the expense of more computations. We present performance and cost analyses for the LGS multiconjugate AO system under design for the Thirty Meter Telescope, as well as DKF’s sensitivity to uncertainties in wind profile prior information. We found that, provided the wind profile is known to better than 10% wind speed accuracy and 20 deg wind direction accuracy, DKF, despite its spatial invariance assumptions, delivers a significantly reduced wavefront error compared to the static FDPCG minimum variance estimator combined with POLC. Due to its nonsequential nature and high degree of parallelism, DKF is particularly well suited for real-time implementation on inexpensive off-the-shelf graphics processing units.


Item Type:Article
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http://dx.doi.org/10.1364/JOSAA.30.000898DOIUNSPECIFIED
http://www.opticsinfobase.org/josaa/abstract.cfm?uri=josaa-30-5-898PublisherUNSPECIFIED
Additional Information:© 2013 Optical Society of America. Received January 31, 2013; revised March 6, 2013; accepted March 6, 2013; posted March 7, 2013 (Doc. ID 178608); published April 16, 2013. The work of the second author has been supported by the Netherlands Organization for Scientific Research (NWO) and the Marie Curie COFUND Action by means of a Rubicon grant. This work has also been supported by University Paris 13 and by the French National Research Agency (ANR) through the project CHAPERSOA ANR-09-BLAN-0162-01. The authors gratefully acknowledge the support of the TMT partner institutions. They are the Association of Canadian Universities for Research in Astronomy (ACURA), the California Institute of Technology, the University of California, the National Astronomical Observatory of Japan, the National Astronomical Observatories of China and their consortium partners, and the Department of Science and Technology of India and their supported institutes. This work was supported as well by the Gordon and Betty Moore Foundation, the Canada Foundation for Innovation, the Ontario Ministry of Research and Innovation, the National Research Council of Canada, the Natural Sciences and Engineering Research Council of Canada, the British Columbia Knowledge Development Fund, the Association of Universities for Research in Astronomy (AURA), and the U.S. National Science Foundation.
Funders:
Funding AgencyGrant Number
Netherlands Organization for Scientific Research (NWO)UNSPECIFIED
Marie Curie COFUND Action Rubicon grantUNSPECIFIED
University Paris 13UNSPECIFIED
French National Research Agency (ANR) CHAPERSOAANR-09-BLAN-0162-01
Gordon and Betty Moore FoundationUNSPECIFIED
Canada Foundation for Innovation (CFI)UNSPECIFIED
Ontario Ministry of Research and InnovationUNSPECIFIED
National Research Council of CanadaUNSPECIFIED
Natural Sciences and Engineering Research Council of Canada (NSERC)UNSPECIFIED
British Columbia Knowledge Development FundUNSPECIFIED
Association of Universities for Research in Astronomy (AURA)UNSPECIFIED
NSFUNSPECIFIED
Issue or Number:5
Classification Code:OCIS codes: (010.1080) Active or adaptive optics; (010.1330) Atmospheric turbulence.
Record Number:CaltechAUTHORS:20130611-095430884
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20130611-095430884
Official Citation:Distributed Kalman filtering compared to Fourier domain preconditioned conjugate gradient for laser guide star tomography on extremely large telescopes Luc Gilles, Paolo Massioni, Caroline Kulcsár, Henri-François Raynaud, and Brent Ellerbroek JOSA A, Vol. 30, Issue 5, pp. 898-909 (2013) http://dx.doi.org/10.1364/JOSAA.30.000898
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:38888
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:11 Jun 2013 17:26
Last Modified:03 Oct 2019 05:01

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