OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 21, Iss. 4 — Apr. 1, 2004
  • pp: 632–639

Direct demodulation of Hartmann–Shack patterns

Amos Talmi and Erez N. Ribak  »View Author Affiliations


JOSA A, Vol. 21, Issue 4, pp. 632-639 (2004)
http://dx.doi.org/10.1364/JOSAA.21.000632


View Full Text Article

Enhanced HTML    Acrobat PDF (277 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Hartmann–Shack wave-front sensors produce a distorted grid of spots whose deviation from perfection is linear with the wave-front gradient. Usually, the centroid of each spot is calculated to provide that deviation, but it is also possible to perform the calculation by Fourier demodulation of the spot pattern [Opt. Commun. 215, 285, 2003]. We show that this demodulation can be performed directly on the grid, without reverting to Fourier transforms. Tracking the motion of each centroid individually is limited to well-defined spots with motions smaller than their pitch. In contrast, our method treats the image as a whole, is not limited to nonoverlapping or sharp spots, and allows large spot motions. By replicating the array of spots slightly beyond the edge of the aperture, we reduce the chance for boundary phase dislocations in the reconstruction of the wave front. The method is especially suited to very large arrays.

© 2004 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
(150.0150) Machine vision : Machine vision
(220.4840) Optical design and fabrication : Testing

History
Original Manuscript: July 17, 2003
Revised Manuscript: October 27, 2003
Manuscript Accepted: December 3, 2003
Published: April 1, 2004

Citation
Amos Talmi and Erez N. Ribak, "Direct demodulation of Hartmann–Shack patterns," J. Opt. Soc. Am. A 21, 632-639 (2004)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-21-4-632


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. D. Malacara, ed., Optical Shop Testing (Wiley, New York, 1978).
  2. R. K. Tyson, Principles of Adaptive Optics, 2nd ed. (Academic, New York, 1998).
  3. R. K. Tyson, ed., Adaptive Optics Engineering Handbook (Marcel Decker, New York, 2000).
  4. D. L. Fried, “Least-squares fitting of a wave-front distortion estimate to an array of phase-difference measurements,” J. Opt. Soc. Am. 67, 370–375 (1977). [CrossRef]
  5. R. H. Hudgin, “Wave-front reconstruction for compensated imaging,” J. Opt. Soc. Am. 67, 375–378 (1977). [CrossRef]
  6. W. H. Southwell, “Wave-front estimation from wave-front slope measurement,” J. Opt. Soc. Am. 70, 998–1006 (1980). [CrossRef]
  7. F. Roddier, C. Roddier, “Wavefront reconstruction using iterative Fourier transforms,” Appl. Opt. 30, 1325–1327 (1991). [CrossRef] [PubMed]
  8. C. Roddier, F. Roddier, “Wave-front reconstruction from defocused images and the testing of ground-based optical telescopes,” J. Opt. Soc. Am. A 10, 2277–2287 (1993). [CrossRef]
  9. K. R. Freischlad, C. L. Koliopoulos, “Modal estimation of a wave front from difference measurements using the discrete Fourier transform,” J. Opt. Soc. Am. A 3, 1852–1861 (1986). [CrossRef]
  10. L. A. Poyneer, D. T. Gavel, J. M. Brase, “Fast wave-front reconstruction in large adaptive optics systems with use of the Fourier transform,” J. Opt. Soc. Am. A 19, 2100–2111 (2002). [CrossRef]
  11. Y. Carmon, E. N. Ribak, “Phase retrieval by demodulation of a Hartmann–Shack sensor,” Opt. Commun. 215, 285–288 (2003). [CrossRef]
  12. E. N. Ribak, “Separating atmospheric layers in adaptive optics,” Opt. Lett. 28, 613–615 (2003). [CrossRef] [PubMed]

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.

Figures

Fig. 1 Fig. 2 Fig. 3
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited