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

  • Editor: Franco Gori
  • Vol. 28, Iss. 5 — May. 1, 2011
  • pp: 801–807

Error propagation: a comparison of Shack–Hartmann and curvature sensors

Aglaé N. Kellerer and Albrecht M. Kellerer  »View Author Affiliations


JOSA A, Vol. 28, Issue 5, pp. 801-807 (2011)
http://dx.doi.org/10.1364/JOSAA.28.000801


View Full Text Article

Enhanced HTML    Acrobat PDF (400 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Phase estimates in adaptive-optics systems are computed by use of wavefront sensors, such as Shack–Hartmann or curvature sensors. In either case, the standard error of the phase estimates is proportional to the standard error of the measurements; but the error-propagation factors are different. We calculate the ratio of these factors for curvature and Shack–Hartmann sensors in dependence on the number of sensors, n, on a circular aperture. If the sensor spacing is kept constant and the pupil is enlarged, the ratio increases as n 0.4 . When more sensing elements are accommodated on the same aperture, it increases even faster, namely, proportional to n 0.8 . With large numbers of sensing elements, this increase can limit the applicability of curvature sensors.

© 2011 Optical Society of America

OCIS Codes
(110.0115) Imaging systems : Imaging through turbulent media
(110.1080) Imaging systems : Active or adaptive optics

ToC Category:
Imaging Systems

History
Original Manuscript: January 5, 2011
Manuscript Accepted: February 15, 2011
Published: April 18, 2011

Virtual Issues
Vol. 6, Iss. 6 Virtual Journal for Biomedical Optics

Citation
Aglaé N. Kellerer and Albrecht M. Kellerer, "Error propagation: a comparison of Shack–Hartmann and curvature sensors," J. Opt. Soc. Am. A 28, 801-807 (2011)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-28-5-801


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. B. C. Platt and R. Shack, “History and principles of Shack-Hartmann wave-front sensing,” J. Refractive Surg. 17, 573–577(2001).
  2. F. Roddier, “Curvature sensing and compensation: a new concept in adaptive optics,” Appl. Opt. 27, 1223–1225 (1988). [CrossRef] [PubMed]
  3. P. Lena, “Adaptive optics: a breakthrough in astronomy,” Exp. Astron. 26, 35–48 (2009). [CrossRef]
  4. J. Liang, D. R. Williams, and D. T. Miller, “Supernormal vision and high-resolution retinal imaging through adaptive optics,” J. Opt. Soc. Am. A 14, 2884–2892 (1997). [CrossRef]
  5. F. Diaz-Douton, J. Pujol, M. Arjona, and S. O. Luque, “Curvature sensor for ocular wavefront measurement,” Opt. Lett. 31, 2245–2247 (2006). [CrossRef] [PubMed]
  6. C. Torti, S. Gruppetta, and L. Diaz-Santana, “Wavefront curvature sensing for the human eye,” J. Mod. Opt. 55, 691–702(2008). [CrossRef]
  7. M. Watanabe, S. Oya, Y. Hayano, H. Takami, M. Hattori, Y. Minowa, Y. Saito, M. Ito, N. Murakami, M. Iye, O. Guyon, S. Colley, M. Eldred, T. Golota, and M. Dinkins, “Implementation of 188-element curvature-based wavefront sensor and calibration source unit for the Subaru LGSAO system,” Proc. SPIE 7015, 701564 (2008). [CrossRef]
  8. L. C. Roberts and C. R. Neyman, “Characterization of the AEOS adaptive optics system,” Publ. Astron. Soc. Pac. 114, 1260–1266(2002). [CrossRef]
  9. R. Hudgin, “Wave-front compensation error due to finite corrector-element size,” J. Opt. Soc. Am. 67, 393–395 (1977). [CrossRef]
  10. D. Fried, “Least-square fitting a wave-front distortion estimate to an array of phase-difference measurements,” J. Opt. Soc. Am. 67, 370–375 (1977). [CrossRef]
  11. N. Roddier, “Curvature sensing for adaptive optics: a computer simulation,” Master’s thesis (University of Arizona, 1989).
  12. A. Kellerer, “Curvature sensors: noise and its propagation,” J. Opt. Soc. Am. A 27, A29–A36 (2010). [CrossRef]
  13. F. Roddier, “The effects of atmospheric turbulence in optical astronomy,” in Progress in Optics (North-Holland, 1981), Vol.  19, pp. 281–376. [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.

Figures

Fig. 1 Fig. 2 Fig. 3
 
Fig. 4 Fig. 5
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited