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Virtual Journal for Biomedical Optics

Virtual Journal for Biomedical Optics


  • Editor: Gregory W. Faris
  • Vol. 4, Iss. 2 — Feb. 10, 2009

Modeling the eye’s optical system by ocular wavefront tomography

Xin Wei and Larry Thibos  »View Author Affiliations

Optics Express, Vol. 16, Issue 25, pp. 20490-20502 (2008)

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Purpose: Ocular wavefront tomography (OWT) is the process of using wavefront aberration maps obtained along multiple lines-of-sight (LoS) to determine the shape and position of the major refracting elements of an eye. One goal of OWT is to create a customized schematic model eye that is anatomically similar and functionally equivalent to the individual eye over a large field of view. Methods: Wavefront aberration maps along multiple LoS were used as design goals for configuring a generic, multisurface model eye with aberrations that match the measurements. The model was constrained by gross anatomical dimensions and optimized to mimic the measured eye. The method was evaluated with two test cases: (1) a physical model eye with a doublet lens measured with a clinical wavefront aberrometer along six LoS between -31 deg and +29 deg eccentricities, and (2) a mathematical model of the myopic eye for which wavefront aberrations were computed by ray tracing. Results: In case 1, the OWT algorithm successfully predicted the structure of the doublet model eye from the experimental on- and off-axis aberration measurements. In case 2, the algorithm started with a symmetric five surface model eye and optimized it to generate the on- and off-axis aberrations of a GRIN myopia model eye. The adjusted model closely mimicked the physical parameters and optical behavior of the expected myopia model eye over a large field of view. The maximum discrepancy between aberrations of the OWT optimized model and measurements was 0.05 microns RMS for test case 1 and 0.2 microns RMS for test case 2. Conclusion: Our implementation of OWT is a valid, feasible, and robust method for constructing an optical model that is anatomically and functionally similar to the eye over a wide field of view.

© 2008 Optical Society of America

OCIS Codes
(330.7325) Vision, color, and visual optics : Visual optics, metrology
(330.7326) Vision, color, and visual optics : Visual optics, modeling

ToC Category:
Vision, Color, and Visual Optics

Original Manuscript: October 3, 2008
Revised Manuscript: November 8, 2008
Manuscript Accepted: November 11, 2008
Published: November 25, 2008

Virtual Issues
Vol. 4, Iss. 2 Virtual Journal for Biomedical Optics

Xin Wei and Larry Thibos, "Modeling the eye's optical system by ocular wavefront tomography," Opt. Express 16, 20490-20502 (2008)

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  1. E. Acosta, D. Vazquez, L. Garner, and G. Smith, "Tomographic method for measurement of the gradient refractive index of the crystalline lens. I. The spherical fish lens," J. Opt. Soc. Am. 22, 424-433 (2005). [CrossRef]
  2. D. Vazquez, E. Acosta, G. Smith, and L. Garner, "Tomographic method for measurement of the gradient refractive index of the crystalline lens. II. The rotationally symmetrical lens," J. Opt. Soc. Am. 23, 2551-2565 (2006). [CrossRef]
  3. J. A. Sakamoto, H. H. Barrett, and A. V. Goncharov, "Inverse optical design of the human eye using likelihood methods and wavefront sensing," Opt. Express 16, 304-314 (2008). [CrossRef] [PubMed]
  4. A. Lambert, B. J. Birt, D. A. Atchison, and H. Guo, "Applying SLODAR to measure aberrations in the eye," Opt. Express 16, 7309-7322 (2008). [CrossRef] [PubMed]
  5. A. S. Goncharov and A. V. Larichev, "Specialized modal tomography of human eye aberrations," Proc. SPIE 6734, 67341V (2007).
  6. R. Navarro, L. Gonzalez, and J. L. Hernandez-Matamoros, "On the prediction of optical aberrations by personalized eye models," Optom Vis Sci 83, 371-381 (2006). [CrossRef] [PubMed]
  7. A. V. Goncharov and C. Dainty, "Wide-field schematic eye models with gradient-index lens," J. Opt. Soc. Am. 24, 2157-2174 (2007). [CrossRef]
  8. A. V. Goncharov, M. Nowakowski, M. T. Sheehan, and C. Dainty, "Reconstruction of the optical system of the human eye with reverse ray-tracing," Opt. Express 16, 1692-1703 (2008). [CrossRef] [PubMed]
  9. D. A. Atchison, "Optical models for human myopic eyes," Vision Res. 46, 2236-2250 (2006). [CrossRef] [PubMed]
  10. I. Escudero-Sanz and R. Navarro, "Off-axis aberrations of a wide-angle schematic eye model," J. Opt. Soc. Am. 16, 1881-1891 (1999). [CrossRef]
  11. H. Sumita, "Orthonormal expansion of the aberration difference function and its application to image evaluation," Jpn. J. Appl. Phys. 8, 1027-1036 (1969). [CrossRef]
  12. F. Roddier and C. Roddier, "Wavefront reconstruction using iterative Fourier transforms," Appl. Opt. 30, 1325-1327 (1991). [CrossRef] [PubMed]
  13. D. A. Atchison and D. H. Scott, "Monochromatic aberrations of human eyes in the horizontal visual field," J. Opt. Soc. Am. 19, 2180-2184 (2002). [CrossRef]
  14. L. Lundstrom, P. Unsbo, and J. Gustafsson, "Off-axis wave front measurements for optical correction in eccentric viewing," J. Biomed. Opt. 10, 034002 (2005). [CrossRef] [PubMed]
  15. W. Zou and J. P. Rolland, "Iterative zonal wave-front estimation algorithm for optical testing with general-shaped pupils," J. Opt. Soc. Am. 22, 938-951 (2005). [CrossRef]
  16. D. A. Atchison, D. H. Scott, and W. N. Charman, "Measuring ocular aberrations in the peripheral visual field using Hartmann-Shack aberrometry," J. Opt. Soc. Am. 24, 2963-2973 (2007). [CrossRef]
  17. Zemax User Guide (Zemax Development Corporation, 2006).
  18. R. Shannon, The Art and Science of Optical Design (Cambridge Univ Press, 1997).
  19. M. Kidger, Intermediate Optical Design (SPIE, 2004). [CrossRef]
  20. G. Smith, D. A. Atchison, C. Avudainayagam, and K. Avudainayagam, "Designing lenses to correct peripheral refractive errors of the eye," J. Opt. Soc. Am. 19, 10-18 (2002). [CrossRef]
  21. L. N. Thibos, M. Ye, X. Zhang, and A. Bradley, "Spherical aberration of the reduced schematic eye with elliptical refracting surface," Optom Vision Sci. 74, 548-556 (1997). [CrossRef]
  22. Y. Z. Wang and L. N. Thibos, "Oblique (off-axis) astigmatism of the reduced schematic eye with elliptical refracting surface," Optom Vis Sci 74, 557-562 (1997). [CrossRef] [PubMed]

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