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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 19, Iss. 9 — Sep. 1, 2002
  • pp: 1817–1822

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

Luc Gilles, Curtis R. Vogel, and Brent L. Ellerbroek  »View Author Affiliations


JOSA A, Vol. 19, Issue 9, pp. 1817-1822 (2002)
http://dx.doi.org/10.1364/JOSAA.19.001817


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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

OCIS Codes
(010.1080) Atmospheric and oceanic optics : Active or adaptive optics
(010.7350) Atmospheric and oceanic optics : Wave-front sensing

History
Original Manuscript: January 31, 2002
Revised Manuscript: April 17, 2002
Manuscript Accepted: April 24, 2002
Published: September 1, 2002

Citation
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)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-19-9-1817

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