OSA's Digital Library

Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 11, Iss. 21 — Oct. 20, 2003
  • pp: 2783–2790

Analysis of the signal-to-noise ratio in the optical differentiation wavefront sensor

José E. Oti, Vidal F. Canales, and Manuel P. Cagigal  »View Author Affiliations

Optics Express, Vol. 11, Issue 21, pp. 2783-2790 (2003)

View Full Text Article

Enhanced HTML    Acrobat PDF (151 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



High resolution wavefront sensors are devices with a great practical interest since they are becoming a key part in an increasing number of applications like extreme Adaptive Optics. We describe the optical differentiation wavefront sensor, consisting of an amplitude mask placed at the intermediate focal plane of a 4-f setup. This sensor offers the advantages of high resolution and adjustable dynamic range. Furthermore, it can work with polychromatic light sources. In this paper we show that, even in adverse low-light-level conditions, its SNR compares quite well to that corresponding to the Hartmann-Shack sensor.

© 2003 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
(070.2580) Fourier optics and signal processing : Paraxial wave optics

ToC Category:
Research Papers

Original Manuscript: September 19, 2003
Revised Manuscript: October 15, 2003
Published: October 20, 2003

Jose Oti, Vidal Canales, and Manuel Cagigal, "Analysis of the signal-to-noise ratio in the optical differentiation wavefront sensor," Opt. Express 11, 2783-2790 (2003)

Sort:  Journal  |  Reset  


  1. G. Vdovin, �??Micromachined membrane deformable mirrors�?? in Adaptive Optics Engineering Handbook, R. Tyson, ed. (Marcel Dekker Inc, New York, 1998)
  2. M. A. Neil, M. J. Booth, T. Wilson, �??New modal wave-front sensor: a theoretical analysis,�?? J. Opt. Soc. Am A 17, 1098-1107 (2000) [CrossRef]
  3. E. J. Fernandez, I. Iglesias and P. Artal, �??Closed-loop adaptive optics in the human eye,�?? Opt. Lett. 26, 746-748 (2001) [CrossRef]
  4. V. F. Canales and M. P. Cagigal, �??Gain estimate for exoplanet detection with adaptive optics,�?? Astron. Astrophys. Suppl. Ser. 145, 445-449 (2000) [CrossRef]
  5. J. C. Bortz and B. J. Thompson, �??Phase retrieval by optical phase differentiation,�?? Proceedings of the SPIE 351, 71-79 (1983) [CrossRef]
  6. O. von der Lühe, �??Wavefront error measurement technique using extended, incoherent light sources,�?? Opt. Eng. 27, 1078-1087 (1988).
  7. E. N. Ribak �??Harnessing caustics for wave-front sensing,�?? Opt. Lett. 26, 1834-1836 (2001). [CrossRef]
  8. R. Ragazzoni, �??Pupil plane wavefront sensing with an oscillating prism,�?? J. Mod. Opt. 43, 289-293 (1996). [CrossRef]
  9. K. Iizuka, Engineering optics (Springer-Verlag, Berlin, 1987)
  10. J. M. Geary, Introduction to wavefront sensors (SPIE Press, Washington, 1995). [CrossRef]
  11. R. Irwan and R. G.Lane, �??Analysis of optimal centroid estimation applied to Shack-Hartmann sensing,�?? Appl. Opt. 32, 6737-6743 (1999). [CrossRef]
  12. J. Primot, G. Rousset, and J. C. Fontanella, �??Deconvolution from wave-front sensing: a new technique for compensating turbulence-degraded images,�?? J. Opt. Soc. Am A 7, 1598-1608 (1990) [CrossRef]
  13. B. M. Welsh and C. S. Gardner, �??Performance analysis of adaptive optics systems using laser guide stars and slope sensors,�?? J. Opt. Soc. Am A 12, 1913-1923 (1989) [CrossRef]
  14. N. Roddier, �??Atmospheric wavefront simulation using Zernike polynomials,�?? Opt. Eng. 29, 1174-1180 (1990) [CrossRef]
  15. R. Cubalchini, �??Modal wave-front estimation from phase derivative measurements,�?? J. Opt. Soc. Am 69, 972-977 (1979) [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.


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

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited