title: Multigrid preconditioned conjugate-gradient method for large-scale wave-front reconstruction.
abstract: We introduce a multigrid preconditioned conjugate-gradient (MGCG) iterative scheme for computing open-loop wave-front reconstructors for extreme adaptive optics systems. We present numerical simulations for a 17-m class telescope with n = 48756 sensor measurement grid points within the aperture, which indicate that our MGCG method has a rapid convergence rate for a wide range of subaperture average slope measurement signal-to-noise ratios. The total computational cost is of order n log n. Hence our scheme provides for fast wave-front simulation and control in large-scale adaptive optics systems.
authors.affiliation: Department of Mathematical Sciences, Montana State University, Bozeman 59717-2400, USA.
authors.forename: Luc
authors.initials: L
authors.lastname: Gilles
authors.forename: Curtis R
authors.initials: CR
authors.lastname: Vogel
authors.forename: Brent L
authors.initials: BL
authors.lastname: Ellerbroek