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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 13, Iss. 22 — Oct. 31, 2005
  • pp: 8801–8818

Sampling geometries for ocular aberrometry: A model for evaluation of performance

Luis Diaz-Santana, Grace Walker, and Salvador X Bará  »View Author Affiliations


Optics Express, Vol. 13, Issue 22, pp. 8801-8818 (2005)
http://dx.doi.org/10.1364/OPEX.13.008801


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Abstract

The purpose of this work is to outline a simple model to assess the relative merits of different sampling grids for ocular aberrometry and illustrate it with an example. While in traditional Hartmann-Shack setups the sampling grid geometries have been somewhat restricted by the geometries of the available microlens arrays, other techniques such as laser ray tracing or spatially resolved refractometry allow for a greater freedom of choice. For all available setups, including HS, it is worth studying which of these choices perform better in terms of accuracy (closeness of the obtained results to the actual ones) and precision (uncertainty of the obtained results). Whilst the mathematical model presented in this paper is quite general and it can be applied to optimise existing or new aberrometers, the numerical results presented in the example are only valid for the particular aberration sample used and centroiding algorithms studied, and should not be generalised outside of these boundaries.

© 2005 Optical Society of America

OCIS Codes
(010.1080) Atmospheric and oceanic optics : Active or adaptive optics
(330.4460) Vision, color, and visual optics : Ophthalmic optics and devices
(330.5370) Vision, color, and visual optics : Physiological optics

ToC Category:
Research Papers

History
Original Manuscript: August 15, 2005
Revised Manuscript: October 7, 2005
Published: October 31, 2005

Citation
Luis Diaz-Santana, Grace Walker, and Salvador Bará, "Sampling geometries for ocular aberrometry: A model for evaluation of performance," Opt. Express 13, 8801-8818 (2005)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-13-22-8801


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References

  1. P. B. Liebelt, An Introduction to Optimal Estimation, (Addison-Wesley, Reading, MA, 1967) pg. 138.
  2. S. Bará, �??Measuring eye aberrations with Hartmann-Shack wave-front sensors: Should the irradiance distribution across the eye pupil be taken into account?,�?? J. Opt. Soc. Am. A 20, 2237�??2245 (2003). [CrossRef]
  3. B. P. Medoff, "Image reconstruction from limited data: theory and applications in computerized tomography," in Image Recovery: Theory and Application, H. Stark, ed. (Academic, New York, 1987), Chap. 9.
  4. J. Herrmann, �??Least-squares wave front errors of minimum norm,�?? J. Opt. Soc. Am. 70, 28�??35 (1980). [CrossRef]
  5. W.H. Southwell, �??Wave-front estimation from wave-front slope measurements,�?? J. Opt. Soc. Am. 70, 998�??1006 (1980). [CrossRef]
  6. L. Diaz Santana Haro, "Wavefront sensing in the human eye with a Shack-Hartmann sensor," Ph.D. thesis (Imperial College of Science Technology and Medicine, 2000).
  7. J. Schwiegerling, �??Scaling Zernike expansion coefficients to different pupil sizes,�?? J. Opt. Soc. Am. A 19, 1937�??1945 (2002). [CrossRef]

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