Abstract

We present a new methodology to obtain, to the best of our knowledge, the first intraocular lens (IOL) designed to balance the coma induced by the cornea due to the global ocular tilt. This lens is designed to mimic the situation naturally occurring in the normal healthy eye. The new proposed IOL provides an improved optical quality for all lens powers.

© 2007 Optical Society of America

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References

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  1. P. Artal and A. Guirao, Opt. Lett. 23, 1713 (1998).
    [CrossRef]
  2. P. Artal, A. Guirao, E. Berrio, and D. R. Williams, J. Vision 1, 1 (2001).
    [CrossRef]
  3. P. Artal, E. Berrio, A. Guirao, and P. Piers, J. Opt. Soc. Am. A 19, 137 (2002).
    [CrossRef]
  4. A. Guirao, M. Redondo, E. Geraghty, P. Piers, S. Norrby, and P. Artal, Arch. Ophthalmol. (Chicago) 120, 1143 (2002).
  5. J. T. Holladay, P. A. Piers, G. Koranyi, M. van der Mooren, and N. E. Norrby, J. Refract. Surg. 18, 683 (2002).
    [PubMed]
  6. S. Kelly, T. Mihashi, and H. C. Howland, J. Vision 4, 262 (2004).
    [CrossRef]
  7. P. Artal, A. Benito, and J. Tabernero, J. Vision 6, 1 (2006).
    [CrossRef]
  8. Y. Le Grand and S. G. El Hage, Physiological Optics, Springer Series in Optical Sciences (Springer, 1980).
  9. V. N. Mahajan, Aberration Theory Made Simple (SPIE, 1991).
    [CrossRef]
  10. L. N. Hazra and C. A. Delisle, J. Opt. Soc. Am. A 15, 945 (1998).
    [CrossRef]
  11. W. T. Welford, Aberrations of Optical Systems (Hilger, 1986).
  12. J. Tabernero, A. Benito, V. Nourrit, and P. Artal, Opt. Express 14, 10945 (2006).
    [CrossRef] [PubMed]
  13. J. Tabernero, P. Piers, A. Benito, M. Redondo, and P. Artal, Invest. Ophthalmol. Visual Sci. 47, 4651 (2006).
    [CrossRef]
  14. P. Artal, J. Opt. Soc. Am. A 7, 1374 (1990).
    [CrossRef] [PubMed]

2006 (3)

P. Artal, A. Benito, and J. Tabernero, J. Vision 6, 1 (2006).
[CrossRef]

J. Tabernero, A. Benito, V. Nourrit, and P. Artal, Opt. Express 14, 10945 (2006).
[CrossRef] [PubMed]

J. Tabernero, P. Piers, A. Benito, M. Redondo, and P. Artal, Invest. Ophthalmol. Visual Sci. 47, 4651 (2006).
[CrossRef]

2004 (1)

S. Kelly, T. Mihashi, and H. C. Howland, J. Vision 4, 262 (2004).
[CrossRef]

2002 (3)

P. Artal, E. Berrio, A. Guirao, and P. Piers, J. Opt. Soc. Am. A 19, 137 (2002).
[CrossRef]

A. Guirao, M. Redondo, E. Geraghty, P. Piers, S. Norrby, and P. Artal, Arch. Ophthalmol. (Chicago) 120, 1143 (2002).

J. T. Holladay, P. A. Piers, G. Koranyi, M. van der Mooren, and N. E. Norrby, J. Refract. Surg. 18, 683 (2002).
[PubMed]

2001 (1)

P. Artal, A. Guirao, E. Berrio, and D. R. Williams, J. Vision 1, 1 (2001).
[CrossRef]

1998 (2)

1990 (1)

Artal, P.

P. Artal, A. Benito, and J. Tabernero, J. Vision 6, 1 (2006).
[CrossRef]

J. Tabernero, A. Benito, V. Nourrit, and P. Artal, Opt. Express 14, 10945 (2006).
[CrossRef] [PubMed]

J. Tabernero, P. Piers, A. Benito, M. Redondo, and P. Artal, Invest. Ophthalmol. Visual Sci. 47, 4651 (2006).
[CrossRef]

P. Artal, E. Berrio, A. Guirao, and P. Piers, J. Opt. Soc. Am. A 19, 137 (2002).
[CrossRef]

A. Guirao, M. Redondo, E. Geraghty, P. Piers, S. Norrby, and P. Artal, Arch. Ophthalmol. (Chicago) 120, 1143 (2002).

P. Artal, A. Guirao, E. Berrio, and D. R. Williams, J. Vision 1, 1 (2001).
[CrossRef]

P. Artal and A. Guirao, Opt. Lett. 23, 1713 (1998).
[CrossRef]

P. Artal, J. Opt. Soc. Am. A 7, 1374 (1990).
[CrossRef] [PubMed]

Benito, A.

J. Tabernero, P. Piers, A. Benito, M. Redondo, and P. Artal, Invest. Ophthalmol. Visual Sci. 47, 4651 (2006).
[CrossRef]

J. Tabernero, A. Benito, V. Nourrit, and P. Artal, Opt. Express 14, 10945 (2006).
[CrossRef] [PubMed]

P. Artal, A. Benito, and J. Tabernero, J. Vision 6, 1 (2006).
[CrossRef]

Berrio, E.

P. Artal, E. Berrio, A. Guirao, and P. Piers, J. Opt. Soc. Am. A 19, 137 (2002).
[CrossRef]

P. Artal, A. Guirao, E. Berrio, and D. R. Williams, J. Vision 1, 1 (2001).
[CrossRef]

Delisle, C. A.

El Hage, S. G.

Y. Le Grand and S. G. El Hage, Physiological Optics, Springer Series in Optical Sciences (Springer, 1980).

Geraghty, E.

A. Guirao, M. Redondo, E. Geraghty, P. Piers, S. Norrby, and P. Artal, Arch. Ophthalmol. (Chicago) 120, 1143 (2002).

Guirao, A.

A. Guirao, M. Redondo, E. Geraghty, P. Piers, S. Norrby, and P. Artal, Arch. Ophthalmol. (Chicago) 120, 1143 (2002).

P. Artal, E. Berrio, A. Guirao, and P. Piers, J. Opt. Soc. Am. A 19, 137 (2002).
[CrossRef]

P. Artal, A. Guirao, E. Berrio, and D. R. Williams, J. Vision 1, 1 (2001).
[CrossRef]

P. Artal and A. Guirao, Opt. Lett. 23, 1713 (1998).
[CrossRef]

Hazra, L. N.

Holladay, J. T.

J. T. Holladay, P. A. Piers, G. Koranyi, M. van der Mooren, and N. E. Norrby, J. Refract. Surg. 18, 683 (2002).
[PubMed]

Howland, H. C.

S. Kelly, T. Mihashi, and H. C. Howland, J. Vision 4, 262 (2004).
[CrossRef]

Kelly, S.

S. Kelly, T. Mihashi, and H. C. Howland, J. Vision 4, 262 (2004).
[CrossRef]

Koranyi, G.

J. T. Holladay, P. A. Piers, G. Koranyi, M. van der Mooren, and N. E. Norrby, J. Refract. Surg. 18, 683 (2002).
[PubMed]

Le Grand, Y.

Y. Le Grand and S. G. El Hage, Physiological Optics, Springer Series in Optical Sciences (Springer, 1980).

Mahajan, V. N.

V. N. Mahajan, Aberration Theory Made Simple (SPIE, 1991).
[CrossRef]

Mihashi, T.

S. Kelly, T. Mihashi, and H. C. Howland, J. Vision 4, 262 (2004).
[CrossRef]

Norrby, N. E.

J. T. Holladay, P. A. Piers, G. Koranyi, M. van der Mooren, and N. E. Norrby, J. Refract. Surg. 18, 683 (2002).
[PubMed]

Norrby, S.

A. Guirao, M. Redondo, E. Geraghty, P. Piers, S. Norrby, and P. Artal, Arch. Ophthalmol. (Chicago) 120, 1143 (2002).

Nourrit, V.

Piers, P.

J. Tabernero, P. Piers, A. Benito, M. Redondo, and P. Artal, Invest. Ophthalmol. Visual Sci. 47, 4651 (2006).
[CrossRef]

A. Guirao, M. Redondo, E. Geraghty, P. Piers, S. Norrby, and P. Artal, Arch. Ophthalmol. (Chicago) 120, 1143 (2002).

P. Artal, E. Berrio, A. Guirao, and P. Piers, J. Opt. Soc. Am. A 19, 137 (2002).
[CrossRef]

Piers, P. A.

J. T. Holladay, P. A. Piers, G. Koranyi, M. van der Mooren, and N. E. Norrby, J. Refract. Surg. 18, 683 (2002).
[PubMed]

Redondo, M.

J. Tabernero, P. Piers, A. Benito, M. Redondo, and P. Artal, Invest. Ophthalmol. Visual Sci. 47, 4651 (2006).
[CrossRef]

A. Guirao, M. Redondo, E. Geraghty, P. Piers, S. Norrby, and P. Artal, Arch. Ophthalmol. (Chicago) 120, 1143 (2002).

Tabernero, J.

P. Artal, A. Benito, and J. Tabernero, J. Vision 6, 1 (2006).
[CrossRef]

J. Tabernero, A. Benito, V. Nourrit, and P. Artal, Opt. Express 14, 10945 (2006).
[CrossRef] [PubMed]

J. Tabernero, P. Piers, A. Benito, M. Redondo, and P. Artal, Invest. Ophthalmol. Visual Sci. 47, 4651 (2006).
[CrossRef]

van der Mooren, M.

J. T. Holladay, P. A. Piers, G. Koranyi, M. van der Mooren, and N. E. Norrby, J. Refract. Surg. 18, 683 (2002).
[PubMed]

Welford, W. T.

W. T. Welford, Aberrations of Optical Systems (Hilger, 1986).

Williams, D. R.

P. Artal, A. Guirao, E. Berrio, and D. R. Williams, J. Vision 1, 1 (2001).
[CrossRef]

Arch. Ophthalmol. (Chicago) (1)

A. Guirao, M. Redondo, E. Geraghty, P. Piers, S. Norrby, and P. Artal, Arch. Ophthalmol. (Chicago) 120, 1143 (2002).

Invest. Ophthalmol. Visual Sci. (1)

J. Tabernero, P. Piers, A. Benito, M. Redondo, and P. Artal, Invest. Ophthalmol. Visual Sci. 47, 4651 (2006).
[CrossRef]

J. Opt. Soc. Am. A (3)

J. Refract. Surg. (1)

J. T. Holladay, P. A. Piers, G. Koranyi, M. van der Mooren, and N. E. Norrby, J. Refract. Surg. 18, 683 (2002).
[PubMed]

J. Vision (3)

S. Kelly, T. Mihashi, and H. C. Howland, J. Vision 4, 262 (2004).
[CrossRef]

P. Artal, A. Benito, and J. Tabernero, J. Vision 6, 1 (2006).
[CrossRef]

P. Artal, A. Guirao, E. Berrio, and D. R. Williams, J. Vision 1, 1 (2001).
[CrossRef]

Opt. Express (1)

Opt. Lett. (1)

Other (3)

W. T. Welford, Aberrations of Optical Systems (Hilger, 1986).

Y. Le Grand and S. G. El Hage, Physiological Optics, Springer Series in Optical Sciences (Springer, 1980).

V. N. Mahajan, Aberration Theory Made Simple (SPIE, 1991).
[CrossRef]

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Figures (5)

Fig. 1
Fig. 1

Schematic of a pseudophakic eye model with Gullstrand parameters for the cornea.

Fig. 2
Fig. 2

New IOL profiles obtained with the procedure described in the text specially designed to balance corneal coma and corneal SA.

Fig. 3
Fig. 3

Ab initio shape factors as a function of the final shape factors after optimization.

Fig. 4
Fig. 4

Horizontal coma (Zernike coefficient Z 8 , 5 mm pupil diameter) as a function of the horizontal field angle in an aberrated pseudophakic eye model (the corneal surface is measured from topography). Filled squares represent the case when a conventional IOL is implanted and the filled circles the situation when our new IOL design is implanted.

Fig. 5
Fig. 5

Convolution of the eye’s PSF with a Snellen optotype (50% contrast) in the eye model from Fig. 4. The same two cases are presented: with a conventional lens (CL) implanted and with the new lens (NL) design presented in this Letter.

Equations (5)

Equations on this page are rendered with MathJax. Learn more.

S coma = 1 4 n 1 h 3 K 2 u ¯ [ p 1 X 2 + p 2 Y 2 + p 3 X Y + p 4 X + p 5 Y + p 6 ] ,
X = ( n n 1 ) c 1 + ( n n 2 ) c 2 ( n n 1 ) c 1 ( n n 2 ) c 2 , Y = n 2 u + n 1 u n 2 u n 1 u .
S c ( cornea ) = 1 4 h 3 K c 2 u ¯ [ p 1 c X c 2 + ( p 3 c + p 4 c ) X c + ( p 2 c + p 5 c + p 6 c ) ] .
S c ( IOL ) = 1 3 h 3 K IOL 2 u ¯ [ p 4 IOL X IOL + p 5 IOL Y IOL ] .
X IOL Opt . = 1 p 4 IOL [ 3 4 K c 2 K IOL 2 { p 1 c X c 2 + ( p 3 c + p 4 c ) X c + ( p 2 c + p 5 c + p 6 c ) } + p 5 IOL Y IOL ] .

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