Multigrid preconditioned conjugate-gradient method for large-scale wave-front reconstruction

Details Multigrid preconditioned conjugate-gradient method for large-scale wave-front reconstruction Multigrid preconditioned conjugate-gradient method for large-scale wave-front reconstruction

Sep 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002josaa..19.1817g&link_type=abstract

Journal of the Optical Society of America A: Optics, Image Science, and Vision, vol. 19, iss. no. 9, p. 1817-1822

Physics

Optics

8

Adaptive Optics, Approximation, Conjugate Gradient Method, Convergence, Numerical Analysis, Telescopes, Wave Front Reconstruction

Scientific paper

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.

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