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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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References

  1. M. C. Roggemann, B. Welsh, Imaging through Turbulence (CRC Press, Boca Raton, Fla., 1996).
  2. B. L. Ellerbroek, “Efficient computation of minimum-variance wave-front reconstructors with sparse-matrix techniques,” J. Opt. Soc. Am. A 19, 1803–1816 (2002). [CrossRef]
  3. F. U. Dowla, J. M. Brase, S. S. Olivier, C. A. Thompson, “Fast Fourier and wavelet transforms for wavefront reconstruction in adaptive optics,” in High-Resolution Wavefront Control: Methods, Devices, and Applications II, J. D. Gonglewski, M. A. Vorontsov, M. T. Gruneisen, eds, Proc. SPIE4124, 118–127 (2000).
  4. L. A. Poyneer, D. T. Gavel, J. M. Brase, “Fast wave-front reconstruction in large adaptive optics systems with the Fourier transform,” J. Opt. Soc. Am. A (to be published).
  5. D. L. Fried, “Least-squares fitting a wave-front distortion estimate to an array of phase difference measurements,” J. Opt. Soc. Am. 67, 370–375 (1977). [CrossRef]
  6. T. Fusco, J.-M. Conan, G. Rousset, L. M. Mugnier, V. Michau, “Optimal wave-front reconstruction strategies for multiconjugate adaptive optics,” J. Opt. Soc. Am. A 18, 2527–2538 (2001). [CrossRef]
  7. Y. Saad, Iterative Methods for Sparse Linear Systems (PWS, Boston, Mass., 1996).
  8. U. Trottenberg, C. W. Oosterlee, A. Schüller, Multigrid (Academic, London, 2001).
  9. B. Parlett, The Symmetric Eigenvalue Problem (SIAM, Philadelphia, Pa., 1997).

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