Abstract

The statistical properties of the estimated eye aberrations differ in general from the actual ones owing to the cross coupling and aliasing generated in the estimation process. In particular, the estimated Zernike aberration coefficients may show fictitious correlations that are not present in the incoming wavefronts. This fact should be taken into account when analyzing estimated aberration datasets, searching for correlations related to physiological eye features. We give an analytical model for this effect and evaluate its magnitude for a particular example, assuming that the true aberration statistics follows a Kolmogorov power law.

© 2006 Optical Society of America

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References

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2005 (3)

2003 (1)

2002 (1)

1998 (1)

V. Voitsekhovich, S. Bará, S. Ríos, and E. Acosta, Opt. Commun. 148, 225 (1998).
[CrossRef]

1989 (1)

1981 (1)

Acosta, E.

V. Voitsekhovich, S. Bará, S. Ríos, and E. Acosta, Opt. Commun. 148, 225 (1998).
[CrossRef]

Applegate, R. A.

L. N. Thibos, R. A. Applegate, J. T. Schwiegerling, R. Webb, and VSIA Standards Taskforce Members, Vision Sciences and Its Applications, Vol. 35 of OSA Trends in Optics and Photonics Series, V.Lakshminarayanan, ed. (Optical Society of America, 2000), pp. 232-244.

Artal, P.

Bará, S.

S. Bará, J. Opt. Soc. Am. A 20, 2237 (2003).
[CrossRef]

V. Voitsekhovich, S. Bará, S. Ríos, and E. Acosta, Opt. Commun. 148, 225 (1998).
[CrossRef]

Bará, S. X.

Cagigal, M. P.

Canales, V. F.

Castejón-Mochón, J. F.

Díaz-Santana, L.

Herrmann, J.

Hong, X.

Hu, P. H.

López-Gil, N.

Miller, D. T.

Prieto, P. M.

Ríos, S.

V. Voitsekhovich, S. Bará, S. Ríos, and E. Acosta, Opt. Commun. 148, 225 (1998).
[CrossRef]

Schwiegerling, J. T.

L. N. Thibos, R. A. Applegate, J. T. Schwiegerling, R. Webb, and VSIA Standards Taskforce Members, Vision Sciences and Its Applications, Vol. 35 of OSA Trends in Optics and Photonics Series, V.Lakshminarayanan, ed. (Optical Society of America, 2000), pp. 232-244.

Soloviev, O.

Stanley, T.

Stone, J.

Thibos, L. N.

D. T. Miller, L. N. Thibos, and X. Hong, Opt. Express 13, 275 (2005).
[CrossRef] [PubMed]

L. N. Thibos, R. A. Applegate, J. T. Schwiegerling, R. Webb, and VSIA Standards Taskforce Members, Vision Sciences and Its Applications, Vol. 35 of OSA Trends in Optics and Photonics Series, V.Lakshminarayanan, ed. (Optical Society of America, 2000), pp. 232-244.

Vdovin, G.

Voitsekhovich, V.

V. Voitsekhovich, S. Bará, S. Ríos, and E. Acosta, Opt. Commun. 148, 225 (1998).
[CrossRef]

Walker, G.

Webb, R.

L. N. Thibos, R. A. Applegate, J. T. Schwiegerling, R. Webb, and VSIA Standards Taskforce Members, Vision Sciences and Its Applications, Vol. 35 of OSA Trends in Optics and Photonics Series, V.Lakshminarayanan, ed. (Optical Society of America, 2000), pp. 232-244.

J. Opt. Soc. Am. (1)

J. Opt. Soc. Am. A (2)

Opt. Commun. (1)

V. Voitsekhovich, S. Bará, S. Ríos, and E. Acosta, Opt. Commun. 148, 225 (1998).
[CrossRef]

Opt. Express (3)

Opt. Lett. (1)

Other (1)

L. N. Thibos, R. A. Applegate, J. T. Schwiegerling, R. Webb, and VSIA Standards Taskforce Members, Vision Sciences and Its Applications, Vol. 35 of OSA Trends in Optics and Photonics Series, V.Lakshminarayanan, ed. (Optical Society of America, 2000), pp. 232-244.

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Figures (1)

Fig. 1
Fig. 1

(a) Second-moment matrix C a of actual aberration coefficients for unit-amplitude Kolmogorov power spectrum and Zernike modes 3–35 (piston and tilts not included). Base 10 logarithm of absolute values of elements of C a is shown as a grayscale map. (b) Pearson normalized correlation coefficients corresponding to C a . (c) Second-moment matrix C a ̂ of the aberration coefficients estimated with the wavefront sensor described in text, displayed with the same conventions as in (a). (d) Pearson normalized correlation coefficients corresponding to C a ̂ . [In (a) and (c) a constant bias of 0.001 has been added to each element before taking the logarithm to avoid divergence at the zeros.]

Equations (4)

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C a ̂ = RC m R T = R ( C μ + C μ ν + C ν μ + C ν ) R T .
C a ̂ = RC μ R T + σ 2 ν RR T .
C a ̂ = RAC a A T R T + σ 2 ν RR T
a ̂ i a ̂ j = p = 1 q = 1 ( RA ) i p ( A T R T ) q j a p a q + σ ν 2 ( RR T ) i j .

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