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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. 7 — Jul. 1, 2002
  • pp: 1390–1397

Extended analysis of curvature sensing

Marcos A. van Dam and Richard G. Lane  »View Author Affiliations


JOSA A, Vol. 19, Issue 7, pp. 1390-1397 (2002)
http://dx.doi.org/10.1364/JOSAA.19.001390


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Abstract

Curvature sensors are used in adaptive optics to measure the wave-front aberrations. In practice, their performance is limited by their nonlinear behavior, which we characterize by solving simultaneously the irradiance transport equation and the accompanying wave-front transport equation. We show how the presence of nonlinear geometric terms limits the accuracy of the sensor and how diffraction effects limit the spatial resolution. The effect of photon noise on the sensor is also quantified.

© 2002 Optical Society of America

OCIS Codes
(010.1080) Atmospheric and oceanic optics : Active or adaptive optics
(010.1330) Atmospheric and oceanic optics : Atmospheric turbulence
(010.7350) Atmospheric and oceanic optics : Wave-front sensing

History
Original Manuscript: September 4, 2001
Revised Manuscript: February 15, 2002
Manuscript Accepted: February 15, 2002
Published: July 1, 2002

Citation
Marcos A. van Dam and Richard G. Lane, "Extended analysis of curvature sensing," J. Opt. Soc. Am. A 19, 1390-1397 (2002)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-19-7-1390


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References

  1. J. W. Hardy, Adaptive Optics for Astronomical Telescopes (Oxford, New York, 1998), pp. 165–168, 377–394.
  2. M. Milman, D. Redding, L. Needels, “Analysis of curvature sensing for large-aperture adaptive optics systems,” J. Opt. Soc. Am. A 13, 1226–1238 (1996). [CrossRef]
  3. D. C. Johnston, B. L. Ellerbroek, S. M. Pompea, “Curvature sensing analysis,” in Adaptive Optics in Astronomy, M. A. Ealey, F. Merkle, eds., Proc. SPIE2201, 528–538 (1994). [CrossRef]
  4. M. R. Teague, “Deterministic phase retrieval: a Green’s function solution,” J. Opt. Soc. Am. 73, 1434–1441 (1983). [CrossRef]
  5. N. Streibl, “Phase imaging by the transport equation of intensity,” Opt. Commun. 49, 6–10 (1984). [CrossRef]
  6. F. Roddier, “Curvature sensing and compensation: a new concept in adaptive optics,” Appl. Opt. 27, 1223–1225 (1988). [CrossRef] [PubMed]
  7. G. Rousset, “Wave-front sensors,” in Adaptive Optics in Astronomy, F. Roddier, ed. (Cambridge U. Press, Cambridge, UK, 1999), pp. 91–130.
  8. F. Roddier, “Wavefront sensing and the irradiance transport equation,” Appl. Opt. 29, 1402–1403 (1990). [CrossRef] [PubMed]
  9. F. Rigaut, B. L. Ellerbroek, M. J. Northcott, “Comparison of curvature-based and Shack–Hartmann-based adaptive optics for the Gemini telescope,” Appl. Opt. 36, 2856–2868 (1997). [CrossRef] [PubMed]
  10. R. J. Noll, “Zernike polynomials and atmospheric turbulence,” J. Opt. Soc. Am. 66, 207–211 (1976). [CrossRef]
  11. M. C. Roggemann, B. Welsh, Imaging through Turbulence (CRC, Boca Raton, Fla., 1996), p. 98.
  12. M. A. van Dam, R. G. Lane, “Tip/tilt estimation from defocused images,” J. Opt. Soc. Am. A 19, 745–752 (2002). [CrossRef]
  13. J. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1996), pp. 63–75.
  14. D. L. Fried, “Optical resolution through a randomly inhomogeneous medium for very long and very short exposures,” J. Opt. Soc. Am. 56, 1372–1379 (1966). [CrossRef]
  15. F. Roddier, “Error propagation in a closed-loop adaptive optics system: a comparison between Shack–Hartmann and curvature wave-front sensors,” Opt. Commun. 113, 357–359 (1995). [CrossRef]

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