OSA's Digital Library

Optics Letters

Optics Letters


  • Editor: Xi-Cheng Zhang
  • Vol. 39, Iss. 11 — Jun. 1, 2014
  • pp: 3197–3200

Wavefront aberration statistics in normal eye populations: are they well described by the Kolmogorov model?

Eliseo Pailos and Salvador Bará  »View Author Affiliations

Optics Letters, Vol. 39, Issue 11, pp. 3197-3200 (2014)

View Full Text Article

Enhanced HTML    Acrobat PDF (478 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



This Letter studies the statistics of wavefront aberrations in a sample of eyes with normal vision. Methods relying on the statistics of the measured wavefront slopes are used, not including the aberration estimation stage. Power-law aberration models, an extension of the Kolmogorov one, are rejected by χ 2 -tests performed on fits to the slope structure function data. This is due to the large weight of defocus and astigmatism variations in normal eyes. Models of only second-order changes are not ruled out. The results are compared with previous works in the area.

© 2014 Optical Society of America

OCIS Codes
(000.5490) General : Probability theory, stochastic processes, and statistics
(330.4460) Vision, color, and visual optics : Ophthalmic optics and devices
(330.5370) Vision, color, and visual optics : Physiological optics

ToC Category:
Vision, Color, and Visual Optics

Original Manuscript: March 17, 2014
Revised Manuscript: April 24, 2014
Manuscript Accepted: April 25, 2014
Published: May 23, 2014

Virtual Issues
Vol. 9, Iss. 8 Virtual Journal for Biomedical Optics

Eliseo Pailos and Salvador Bará, "Wavefront aberration statistics in normal eye populations: are they well described by the Kolmogorov model?," Opt. Lett. 39, 3197-3200 (2014)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. J. Porter, A. Guirao, I. G. Cox, and D. R. Williams, J. Opt. Soc. Am. A 18, 1793 (2001). [CrossRef]
  2. J. F. Castejón-Mochón, N. López-Gil, A. Benito, and P. Artal, Vis. Res. 42, 1611 (2002). [CrossRef]
  3. L. N. Thibos, A. Bradley, and X. Hong, Ophthalmic Physiol. Opt. 22, 427 (2002). [CrossRef]
  4. L. N. Thibos, X. Hong, A. Bradley, and X. Cheng, J. Opt. Soc. Am. A 19, 2329 (2002). [CrossRef]
  5. M. P. Cagigal, V. F. Canales, J. F. Castejón-Mochón, P. M. Prieto, N. López-Gil, and P. Artal, Opt. Lett. 27, 37 (2002). [CrossRef]
  6. K. Y. Li, S. Mishra, P. Tiruveedhula, and A. Roorda, in American Control Conference (IEEE, 2009), pp. 3848–3853.
  7. N. Devaney, E. Dalimier, T. Farrell, D. Coburn, R. Mackey, D. Mackey, F. Laurent, E. Daly, and C. Dainty, Appl. Opt. 47, 6550 (2008). [CrossRef]
  8. S. Bará, P. Prado, J. Arines, and J. Ares, Opt. Lett. 31, 2646 (2006). [CrossRef]
  9. E. Pailos, A. Ommani, L. Diaz-Santana, and S. Bará, J. Opt. Soc. Am. A 27, 1818 (2010). [CrossRef]
  10. S. Bará, J. Opt. Soc. Am. A 20, 2237 (2003). [CrossRef]
  11. E. E. Silbaugh, B. M. Welsh, and M. C. Roggemann, J. Opt. Soc. Am. A 13, 2453 (1996). [CrossRef]
  12. C. H. Rao, W. H. Jiang, and N. Ling, Opt. Lett. 24, 1008 (1999). [CrossRef]
  13. ANSI, “American National Standard for Ophthalmics,” (American National Standards Institute, 2004).
  14. R. J. Noll, J. Opt. Soc. Am. 66, 207 (1976). [CrossRef]
  15. F. W. J. Olver, in Handbook of Mathematical Functions: With Formulas, Graphs, and Mathematical Tables, M. Abramowitz and I. A. Stegun, eds. (U.S. Department of Commerce, National Bureau of Standards, 1970), p. 364.
  16. L. N. Thibos, Ophthalmic Physiol. Opt. 29, 288 (2009). [CrossRef]
  17. S. Bara, E. Pailos, and J. Arines, Opt. Lett. 37, 2427 (2012). [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