Multigrid preconditioned conjugate-gradient method for large-scale wave-front reconstruction.
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.
Gilles
Luc
L
Department of Mathematical Sciences, Montana State University, Bozeman 59717-2400, USA.
Vogel
Curtis R
CR
Ellerbroek
Brent L
BL