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.

© 2002 Optical Society of America

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