Abstract

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 χ2-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

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References

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2012 (1)

2010 (1)

2009 (1)

L. N. Thibos, Ophthalmic Physiol. Opt. 29, 288 (2009).
[CrossRef]

2008 (1)

2006 (1)

2003 (1)

2002 (4)

J. F. Castejón-Mochón, N. López-Gil, A. Benito, and P. Artal, Vis. Res. 42, 1611 (2002).
[CrossRef]

L. N. Thibos, A. Bradley, and X. Hong, Ophthalmic Physiol. Opt. 22, 427 (2002).
[CrossRef]

L. N. Thibos, X. Hong, A. Bradley, and X. Cheng, J. Opt. Soc. Am. A 19, 2329 (2002).
[CrossRef]

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]

2001 (1)

1999 (1)

1996 (1)

1976 (1)

Ares, J.

Arines, J.

Artal, P.

Bara, S.

Bará, S.

Benito, A.

J. F. Castejón-Mochón, N. López-Gil, A. Benito, and P. Artal, Vis. Res. 42, 1611 (2002).
[CrossRef]

Bradley, A.

L. N. Thibos, A. Bradley, and X. Hong, Ophthalmic Physiol. Opt. 22, 427 (2002).
[CrossRef]

L. N. Thibos, X. Hong, A. Bradley, and X. Cheng, J. Opt. Soc. Am. A 19, 2329 (2002).
[CrossRef]

Cagigal, M. P.

Canales, V. F.

Castejón-Mochón, J. F.

Cheng, X.

Coburn, D.

Cox, I. G.

Dainty, C.

Dalimier, E.

Daly, E.

Devaney, N.

Diaz-Santana, L.

Farrell, T.

Guirao, A.

Hong, X.

L. N. Thibos, A. Bradley, and X. Hong, Ophthalmic Physiol. Opt. 22, 427 (2002).
[CrossRef]

L. N. Thibos, X. Hong, A. Bradley, and X. Cheng, J. Opt. Soc. Am. A 19, 2329 (2002).
[CrossRef]

Jiang, W. H.

Laurent, F.

Li, K. Y.

K. Y. Li, S. Mishra, P. Tiruveedhula, and A. Roorda, in American Control Conference (IEEE, 2009), pp. 3848–3853.

Ling, N.

López-Gil, N.

Mackey, D.

Mackey, R.

Mishra, S.

K. Y. Li, S. Mishra, P. Tiruveedhula, and A. Roorda, in American Control Conference (IEEE, 2009), pp. 3848–3853.

Noll, R. J.

Olver, F. W. J.

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.

Ommani, A.

Pailos, E.

Porter, J.

Prado, P.

Prieto, P. M.

Rao, C. H.

Roggemann, M. C.

Roorda, A.

K. Y. Li, S. Mishra, P. Tiruveedhula, and A. Roorda, in American Control Conference (IEEE, 2009), pp. 3848–3853.

Silbaugh, E. E.

Thibos, L. N.

L. N. Thibos, Ophthalmic Physiol. Opt. 29, 288 (2009).
[CrossRef]

L. N. Thibos, X. Hong, A. Bradley, and X. Cheng, J. Opt. Soc. Am. A 19, 2329 (2002).
[CrossRef]

L. N. Thibos, A. Bradley, and X. Hong, Ophthalmic Physiol. Opt. 22, 427 (2002).
[CrossRef]

Tiruveedhula, P.

K. Y. Li, S. Mishra, P. Tiruveedhula, and A. Roorda, in American Control Conference (IEEE, 2009), pp. 3848–3853.

Welsh, B. M.

Williams, D. R.

Appl. Opt. (1)

J. Opt. Soc. Am. (1)

J. Opt. Soc. Am. A (5)

Ophthalmic Physiol. Opt. (2)

L. N. Thibos, Ophthalmic Physiol. Opt. 29, 288 (2009).
[CrossRef]

L. N. Thibos, A. Bradley, and X. Hong, Ophthalmic Physiol. Opt. 22, 427 (2002).
[CrossRef]

Opt. Lett. (4)

Vis. Res. (1)

J. F. Castejón-Mochón, N. López-Gil, A. Benito, and P. Artal, Vis. Res. 42, 1611 (2002).
[CrossRef]

Other (3)

K. Y. Li, S. Mishra, P. Tiruveedhula, and A. Roorda, in American Control Conference (IEEE, 2009), pp. 3848–3853.

ANSI, “American National Standard for Ophthalmics,” (American National Standards Institute, 2004).

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.

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Figures (4)

Fig. 1.
Fig. 1.

Centroid diagram for the sample of 18 left eyes. Irradiance-centroid variations are enlarged by a factor of 7.

Fig. 2.
Fig. 2.

Experimental LSSF (squares) and TSSF (triangles) of the LE group for [(a) and (b)] the u = x and [(c) and (d)] the u = y slope component. The solid lines are the best power-law fits, obtained for β = 46 / 12 for both components. The dotted lines are fits of the defocus fluctuation model, whereas the dashed lines are for the defocus plus astigmatism model.

Fig. 3.
Fig. 3.

τ parameters for the u = y component of the RE sample. The circles are the experimental values, the solid line is the β = 46 / 12 power-law, the dotted line is the defocus fluctuation model, and the dashed line is the defocus plus astigmatism model.

Fig. 4.
Fig. 4.

Radial power spectra of the estimated aberrations for Thibos model with n min = 2 (top solid line) and n min = 4 (bottom solid line) minimum Zernike radial orders. The diamond lines correspond to the 3 exponent of individual orders. The dotted line is the contribution of the n = n = 4 terms of Eq. (3).

Equations (3)

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D μ ˜ u ( r n , r t ) = [ μ ˜ u ( r n ) μ ˜ u ( r t ) ] 2 .
P W ^ ( ν ) = ( π R p 2 ) 1 | FT [ circ ( r / R p ) W ^ ( r ) ] | 2 .
P ¯ W ^ ( ν ) = π R p 2 n , m M n m M δ m , m ( 1 ) ( n + n 2 m ) 2 ( n + 1 ) ( n + 1 ) a ^ n m a ^ n m g n , n ( R p ν ) .

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