OSA's Digital Library

Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 46, Iss. 4 — Feb. 1, 2007
  • pp: 574–580

Adaptive optics implementation with a Fourier reconstructor

Oded Glazer, Erez N. Ribak, and Leonid Mirkin  »View Author Affiliations

Applied Optics, Vol. 46, Issue 4, pp. 574-580 (2007)

View Full Text Article

Enhanced HTML    Acrobat PDF (1687 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Adaptive optics takes its servo feedback error cue from a wavefront sensor. The common Hartmann–Shack spot grid that represents the wavefront slopes is usually analyzed by finding the spot centroids. In a novel application, we used the Fourier decomposition of a spot pattern to find deviations from grid regularity. This decomposition was performed either in the Fourier domain or in the image domain, as a demodulation of the grid of spots. We analyzed the system, built a control loop for it, and tested it thoroughly. This allowed us to close the loop on wavefront errors caused by turbulence in the optical system.

© 2007 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
(100.2650) Image processing : Fringe analysis
(100.5070) Image processing : Phase retrieval

ToC Category:
Image Processing

Original Manuscript: April 13, 2006
Revised Manuscript: October 3, 2006
Manuscript Accepted: October 3, 2006

Oded Glazer, Erez N. Ribak, and Leonid Mirkin, "Adaptive optics implementation with a Fourier reconstructor," Appl. Opt. 46, 574-580 (2007)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. F. Roddier, Adaptive Optics in Astronomy (Cambridge U. Press, 1999).
  2. E. J. Fernández, I. Iglesias, and P. Artal, "Closed-loop adaptive optics in the human eye," Opt. Lett. 26, 746-748 (2001). [CrossRef]
  3. R. K. Tyson, Principles of Adaptive Optics, 2nd ed. (Academic, 1998).
  4. D. L. Fried, "Branch point problem in adaptive optics," J. Opt. Soc. Am. A 15, 2759-2768 (1998). [CrossRef]
  5. H. Takajo and T. Takahashi, "Noniterative methods for obtaining the exact solution for the normal equation in least-squares phase estimation from the phase difference," J. Opt. Soc. Am. A 5, 1818-1827 (1988). [CrossRef]
  6. 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]
  7. W. H. Southwell, "Wave-front estimation from wave-front slope measurements," J. Opt. Soc. Am. 70, 998-1005 (1980). [CrossRef]
  8. Y. Carmon and E. N. Ribak, "Phase retrieval by demodulation of a Hartmann-Shack sensor," Opt. Commun. 215, 285-288 (2003). [CrossRef]
  9. A. Talmi and E. N. Ribak, "Direct demodulation of Hartmann-Shack patterns," J. Opt. Soc. Am. A 21, 632-639 (2004). [CrossRef]
  10. O. Glazer, "Construction of a control loop for an adaptive optical system," M.Sc. thesis (Technion, Haifa, Israel, 2005).
  11. A. Talmi and E. N. Ribak, "Wavefront reconstruction from gradients," J. Opt. Soc. Am. A 23, 288-297 (2006). [CrossRef]
  12. L. A. Poyneer, B. Bauman, B. A. Macintosh, D. Dillon, and S. Severson, "Experimental demonstration of phase correction with a 32 × 32 microelectricalmechanical systems mirror and a spatially filtered wavefront sensor," Opt. Lett. 31, 293-295 (2006). [CrossRef] [PubMed]
  13. Y. Carmon and E. N. Ribak, "Fast Fourier demodulation," Appl. Phys. Lett. 84, 4656-4657 (2004). [CrossRef]
  14. K. J. Åström and B. Wittenmark, Computer-Controlled Systems: Theory and Design, 3rd ed. (Prentice-Hall, 1997), p. 512.
  15. E. N. Ribak, "Separating atmospheric layers in adaptive optics," Opt. Lett. 28, 613-615 (2003). [CrossRef] [PubMed]
  16. S. Zommer, "Simulated annealing in adaptive optics for imaging the eye retina," M.Sc. thesis (Technion, Haifa, Israel, 2005).
  17. S. Zommer, E. N. Ribak, S. G. Lipson, and J. Adler, "Simulated annealing in ocular adaptive optics," Opt. Lett. 31, 939-941 (2006).
  18. N. Zon, O. Srour, and E. N. Ribak, "Hartmann-Shack analysis errors," Opt. Express 14, 635-643 (2006). [CrossRef] [PubMed]
  19. C. Schwartz, E. N. Ribak and G. Baum, "Turbulence degraded wavefronts as fractal surfaces," J. Opt. Soc. Am. A 11, 444-452 (1994). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited