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Large-scale wave-front reconstruction for adaptive optics systems by use of a recursive filtering algorithm

Ren, Hongwu and Dekany, Richard and Britton, Matthew (2005) Large-scale wave-front reconstruction for adaptive optics systems by use of a recursive filtering algorithm. Applied Optics, 44 (13). pp. 2626-2637. ISSN 0003-6935.

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We propose a new recursive filtering algorithm for wave-front reconstruction in a large-scale adaptive optics system. An embedding step is used in this recursive filtering algorithm to permit fast methods to be used for wave-front reconstruction on an annular aperture. This embedding step can be used alone with a direct residual error updating procedure or used with the preconditioned conjugate-gradient method as a preconditioning step. We derive the Hudgin and Fried filters for spectral-domain filtering, using the eigenvalue decomposition method. Using Monte Carlo simulations, we compare the performance of discrete Fourier transform domain filtering, discrete cosine transform domain filtering, multigrid, and alternative-direction-implicit methods in the embedding step of the recursive filtering algorithm. We also simulate the performance of this recursive filtering in a closed-loop adaptive optics system.

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Additional Information:© 2005 Optical Society of America. Received 1 July 2004; revised manuscript received 11 December 2004; accepted 14 December 2004. We acknowledge discussions with Brent Ellerbroek, Luc Gilles, and Curt Vogel. This research has been supported in full by the National Science Foundation Science and Technology Center for Adaptive Optics, managed by the University of California at Santa Cruz under cooperative agreement AST-9876783.
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Subject Keywords:Atmospheric optics; adaptive optics; wave-front sensing
Issue or Number:13
Record Number:CaltechAUTHORS:RENao05
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:5041
Deposited By: Lindsay Cleary
Deposited On:22 Sep 2006
Last Modified:02 Oct 2019 23:18

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