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 <i>n</i> = 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 <i>n</i> log <i>n</i>. Hence our scheme provides for fast wave-front simulation and control in large-scale adaptive optics systems.
© 2002 Optical Society of America
Luc Gilles, Curtis R. Vogel, and Brent L. Ellerbroek, "Multigrid preconditioned conjugate-gradient method for large-scale wave-front reconstruction," J. Opt. Soc. Am. A 19, 1817-1822 (2002)