title: Large-scale wave-front reconstruction for adaptive optics systems by use of a recursive filtering algorithm.
abstract: 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.
authors.affiliation: Caltech Optical Observatories, Physics, Math and Astronomy Division, California Institute of Technology, Pasadena, California 91125, USA. hren@astro.caltech.edu
authors.forename: Hongwu
authors.initials: H
authors.lastname: Ren
authors.forename: Richard
authors.initials: R
authors.lastname: Dekany
authors.forename: Matthew
authors.initials: M
authors.lastname: Britton