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Applied Optics

Applied Optics


  • Vol. 44, Iss. 13 — May. 1, 2005
  • pp: 2626–2637

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

Hongwu Ren, Richard Dekany, and Matthew Britton  »View Author Affiliations

Applied Optics, Vol. 44, Issue 13, pp. 2626-2637 (2005)

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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.

© 2005 Optical Society of America

OCIS Codes
(010.1080) Atmospheric and oceanic optics : Active or adaptive optics
(010.7350) Atmospheric and oceanic optics : Wave-front sensing

Hongwu Ren, Richard Dekany, and Matthew Britton, "Large-scale wave-front reconstruction for adaptive optics systems by use of a recursive filtering algorithm," Appl. Opt. 44, 2626-2637 (2005)

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