Abstract

Theoretical calculations of the polychromatic modulation transfer function (MTF) and wave-front aberration were performed with physiological eye models. These eye models have an amount of spherical aberration that is representative of a normal population of pseudophakic eyes implanted with two different types of intraocular lens (IOL) made from high-refractive-index silicone. These theoretical calculations were compared with the measured contrast sensitivity function (CSF) under mesopic lighting conditions and with wave-front aberration (obtained with a Hartmann–Shack wave-front sensor) collected from 37 patients bilaterally implanted with the same types of lens. The relationships between the ocular wave-front aberration and the MTF predicted by the eye models and the CSF and the ocular wave-front aberration measured in eyes implanted with IOLs were investigated. The predicted improvements in MTF and wave-front aberration correlated well with the improvements measured in practice. Physiological eye models are therefore useful tools for IOL design.

© 2004 Optical Society of America

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References

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  1. Y. K. Nio, N. M. Jansonius, E. Geraghty, S. Norrby, and A. C. Kooijman, “Spherical and irregular aberrations in eye optics may improve quality of vision after intraocular lens implantation,” J. Refract. Surg. (to be published).
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    [CrossRef]
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2003

U. Mester, P. Dillinger, and N. Anterist, J. Cataract Refract. Surg. 4, 627 (2003).

R. A. Applegate, L. N. Thibos, and D. R. Williams, Invest. Ophthalmol. Vis. Sci. (Suppl.) 44, 2124 (2003).

2002

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

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

A. Guirao, M. Redondo, E. Geraghty, P. A. Piers, N. E. S. Norrby, and P. Artal, Arch. Ophthalmol. 120, 1143 (2002).
[CrossRef] [PubMed]

2001

S. Marcos, J. Refract. Surg. 17, 596 (2001).

2000

1999

T. Oshika, S. D. Klyce, R. A. Applegate, and H. C. Howland, Invest. Ophthalmol. Vis. Sci. 40, 1351 (1999).
[PubMed]

O. Findl, W. Drexler, R. Menapace, M. Georgopuolos, G. Rainer, C. K. Hitzenberger, and A. F. Fercher, J. Cataract Refract. Surg. 25, 659 (1999).
[CrossRef] [PubMed]

I. M. Landau and C. G. Laurell, Acta Ophthalmol. Scand. 77, 394 (1999).
[CrossRef] [PubMed]

1997

1996

P. Artal, S. Marcos, I. Iglesias, and D. G. Green, Vis. Res. 36, 3575 (1996).
[CrossRef]

1994

1991

W. N. Charman, Optom. Vis. Sci. 68, 574 (1991).
[CrossRef] [PubMed]

1985

Anterist, N.

U. Mester, P. Dillinger, and N. Anterist, J. Cataract Refract. Surg. 4, 627 (2003).

Applegate, R. A.

R. A. Applegate, L. N. Thibos, and D. R. Williams, Invest. Ophthalmol. Vis. Sci. (Suppl.) 44, 2124 (2003).

T. Oshika, S. D. Klyce, R. A. Applegate, and H. C. Howland, Invest. Ophthalmol. Vis. Sci. 40, 1351 (1999).
[PubMed]

L. N. Thibos, R. A. Applegate, J. T. Schwiegerling, and R. Webb, in Vision Science and Its Applications, V. Lakshimarayanan, ed., Vol. 35 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2000), p. 110.

Artal, P.

Berrio, E.

Bescos, J.

Bille, J. F.

Charman, W. N.

W. N. Charman, Optom. Vis. Sci. 68, 574 (1991).
[CrossRef] [PubMed]

Dillinger, P.

U. Mester, P. Dillinger, and N. Anterist, J. Cataract Refract. Surg. 4, 627 (2003).

Drexler, W.

O. Findl, W. Drexler, R. Menapace, M. Georgopuolos, G. Rainer, C. K. Hitzenberger, and A. F. Fercher, J. Cataract Refract. Surg. 25, 659 (1999).
[CrossRef] [PubMed]

Fercher, A. F.

O. Findl, W. Drexler, R. Menapace, M. Georgopuolos, G. Rainer, C. K. Hitzenberger, and A. F. Fercher, J. Cataract Refract. Surg. 25, 659 (1999).
[CrossRef] [PubMed]

Findl, O.

O. Findl, W. Drexler, R. Menapace, M. Georgopuolos, G. Rainer, C. K. Hitzenberger, and A. F. Fercher, J. Cataract Refract. Surg. 25, 659 (1999).
[CrossRef] [PubMed]

Georgopuolos, M.

O. Findl, W. Drexler, R. Menapace, M. Georgopuolos, G. Rainer, C. K. Hitzenberger, and A. F. Fercher, J. Cataract Refract. Surg. 25, 659 (1999).
[CrossRef] [PubMed]

Geraghty, E.

A. Guirao, M. Redondo, E. Geraghty, P. A. Piers, N. E. S. Norrby, and P. Artal, Arch. Ophthalmol. 120, 1143 (2002).
[CrossRef] [PubMed]

Y. K. Nio, N. M. Jansonius, E. Geraghty, S. Norrby, and A. C. Kooijman, “Spherical and irregular aberrations in eye optics may improve quality of vision after intraocular lens implantation,” J. Refract. Surg. (to be published).

Goelz, S.

Green, D. G.

P. Artal, S. Marcos, I. Iglesias, and D. G. Green, Vis. Res. 36, 3575 (1996).
[CrossRef]

Grimm, B.

Guirao, A.

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. A. Piers, N. E. S. Norrby, and P. Artal, Arch. Ophthalmol. 120, 1143 (2002).
[CrossRef] [PubMed]

A. Guirao, M. Redondo, and P. Artal, J. Opt. Soc. Am. A 17, 1697 (2000).
[CrossRef]

D. R. Williams, G. Y. Yoon, A. Guirao, H. Hofer, and J. Porter, in Customized Corneal Ablation: The Quest for SuperVision, S. M. MacRae, R. R. Kreuger, and R. A. Applegate, eds. (SLACK Incorporated, Thorofare, N.J., 2001), p. 11.

Hitzenberger, C. K.

O. Findl, W. Drexler, R. Menapace, M. Georgopuolos, G. Rainer, C. K. Hitzenberger, and A. F. Fercher, J. Cataract Refract. Surg. 25, 659 (1999).
[CrossRef] [PubMed]

Hofer, H.

D. R. Williams, G. Y. Yoon, A. Guirao, H. Hofer, and J. Porter, in Customized Corneal Ablation: The Quest for SuperVision, S. M. MacRae, R. R. Kreuger, and R. A. Applegate, eds. (SLACK Incorporated, Thorofare, N.J., 2001), p. 11.

Holladay, J. T.

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

Howland, H. C.

T. Oshika, S. D. Klyce, R. A. Applegate, and H. C. Howland, Invest. Ophthalmol. Vis. Sci. 40, 1351 (1999).
[PubMed]

Iglesias, I.

P. Artal, S. Marcos, I. Iglesias, and D. G. Green, Vis. Res. 36, 3575 (1996).
[CrossRef]

Jansonius, N. M.

Y. K. Nio, N. M. Jansonius, E. Geraghty, S. Norrby, and A. C. Kooijman, “Spherical and irregular aberrations in eye optics may improve quality of vision after intraocular lens implantation,” J. Refract. Surg. (to be published).

Klyce, S. D.

T. Oshika, S. D. Klyce, R. A. Applegate, and H. C. Howland, Invest. Ophthalmol. Vis. Sci. 40, 1351 (1999).
[PubMed]

Kooijman, A. C.

Y. K. Nio, N. M. Jansonius, E. Geraghty, S. Norrby, and A. C. Kooijman, “Spherical and irregular aberrations in eye optics may improve quality of vision after intraocular lens implantation,” J. Refract. Surg. (to be published).

Koranyi, G.

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

Landau, I. M.

I. M. Landau and C. G. Laurell, Acta Ophthalmol. Scand. 77, 394 (1999).
[CrossRef] [PubMed]

Laurell, C. G.

I. M. Landau and C. G. Laurell, Acta Ophthalmol. Scand. 77, 394 (1999).
[CrossRef] [PubMed]

Liang, J.

Marcos, S.

S. Marcos, J. Refract. Surg. 17, 596 (2001).

P. Artal, S. Marcos, I. Iglesias, and D. G. Green, Vis. Res. 36, 3575 (1996).
[CrossRef]

Menapace, R.

O. Findl, W. Drexler, R. Menapace, M. Georgopuolos, G. Rainer, C. K. Hitzenberger, and A. F. Fercher, J. Cataract Refract. Surg. 25, 659 (1999).
[CrossRef] [PubMed]

Mester, U.

U. Mester, P. Dillinger, and N. Anterist, J. Cataract Refract. Surg. 4, 627 (2003).

Miller, D. T.

Navarro, R.

Nio, Y. K.

Y. K. Nio, N. M. Jansonius, E. Geraghty, S. Norrby, and A. C. Kooijman, “Spherical and irregular aberrations in eye optics may improve quality of vision after intraocular lens implantation,” J. Refract. Surg. (to be published).

Norrby, N. E. S.

A. Guirao, M. Redondo, E. Geraghty, P. A. Piers, N. E. S. Norrby, and P. Artal, Arch. Ophthalmol. 120, 1143 (2002).
[CrossRef] [PubMed]

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

Norrby, S.

Y. K. Nio, N. M. Jansonius, E. Geraghty, S. Norrby, and A. C. Kooijman, “Spherical and irregular aberrations in eye optics may improve quality of vision after intraocular lens implantation,” J. Refract. Surg. (to be published).

Oshika, T.

T. Oshika, S. D. Klyce, R. A. Applegate, and H. C. Howland, Invest. Ophthalmol. Vis. Sci. 40, 1351 (1999).
[PubMed]

Piers, P.

Piers, P. A.

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

A. Guirao, M. Redondo, E. Geraghty, P. A. Piers, N. E. S. Norrby, and P. Artal, Arch. Ophthalmol. 120, 1143 (2002).
[CrossRef] [PubMed]

Porter, J.

D. R. Williams, G. Y. Yoon, A. Guirao, H. Hofer, and J. Porter, in Customized Corneal Ablation: The Quest for SuperVision, S. M. MacRae, R. R. Kreuger, and R. A. Applegate, eds. (SLACK Incorporated, Thorofare, N.J., 2001), p. 11.

Prieto, P. M.

Rainer, G.

O. Findl, W. Drexler, R. Menapace, M. Georgopuolos, G. Rainer, C. K. Hitzenberger, and A. F. Fercher, J. Cataract Refract. Surg. 25, 659 (1999).
[CrossRef] [PubMed]

Redondo, M.

A. Guirao, M. Redondo, E. Geraghty, P. A. Piers, N. E. S. Norrby, and P. Artal, Arch. Ophthalmol. 120, 1143 (2002).
[CrossRef] [PubMed]

A. Guirao, M. Redondo, and P. Artal, J. Opt. Soc. Am. A 17, 1697 (2000).
[CrossRef]

Santamaria, J.

Schwiegerling, J. T.

L. N. Thibos, R. A. Applegate, J. T. Schwiegerling, and R. Webb, in Vision Science and Its Applications, V. Lakshimarayanan, ed., Vol. 35 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2000), p. 110.

Smith, W. J.

W. J. Smith, Modern Optical Engineering: The Design of Optical Systems, 2nd ed. (McGraw-Hill, New York, 1995).

Thibos, L. N.

R. A. Applegate, L. N. Thibos, and D. R. Williams, Invest. Ophthalmol. Vis. Sci. (Suppl.) 44, 2124 (2003).

L. N. Thibos, R. A. Applegate, J. T. Schwiegerling, and R. Webb, in Vision Science and Its Applications, V. Lakshimarayanan, ed., Vol. 35 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2000), p. 110.

van der Mooren, M.

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

Vargas-Martin, F.

Webb, R.

L. N. Thibos, R. A. Applegate, J. T. Schwiegerling, and R. Webb, in Vision Science and Its Applications, V. Lakshimarayanan, ed., Vol. 35 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2000), p. 110.

Williams, D. R.

R. A. Applegate, L. N. Thibos, and D. R. Williams, Invest. Ophthalmol. Vis. Sci. (Suppl.) 44, 2124 (2003).

J. Liang, D. R. Williams, and D. T. Miller, J. Opt. Soc. Am. A 14, 2884 (1997).
[CrossRef]

D. R. Williams, G. Y. Yoon, A. Guirao, H. Hofer, and J. Porter, in Customized Corneal Ablation: The Quest for SuperVision, S. M. MacRae, R. R. Kreuger, and R. A. Applegate, eds. (SLACK Incorporated, Thorofare, N.J., 2001), p. 11.

Yoon, G. Y.

D. R. Williams, G. Y. Yoon, A. Guirao, H. Hofer, and J. Porter, in Customized Corneal Ablation: The Quest for SuperVision, S. M. MacRae, R. R. Kreuger, and R. A. Applegate, eds. (SLACK Incorporated, Thorofare, N.J., 2001), p. 11.

Acta Ophthalmol. Scand.

I. M. Landau and C. G. Laurell, Acta Ophthalmol. Scand. 77, 394 (1999).
[CrossRef] [PubMed]

Arch. Ophthalmol.

A. Guirao, M. Redondo, E. Geraghty, P. A. Piers, N. E. S. Norrby, and P. Artal, Arch. Ophthalmol. 120, 1143 (2002).
[CrossRef] [PubMed]

Invest. Ophthalmol. Vis. Sci.

T. Oshika, S. D. Klyce, R. A. Applegate, and H. C. Howland, Invest. Ophthalmol. Vis. Sci. 40, 1351 (1999).
[PubMed]

Invest. Ophthalmol. Vis. Sci. (Suppl.)

R. A. Applegate, L. N. Thibos, and D. R. Williams, Invest. Ophthalmol. Vis. Sci. (Suppl.) 44, 2124 (2003).

J. Cataract Refract. Surg.

O. Findl, W. Drexler, R. Menapace, M. Georgopuolos, G. Rainer, C. K. Hitzenberger, and A. F. Fercher, J. Cataract Refract. Surg. 25, 659 (1999).
[CrossRef] [PubMed]

U. Mester, P. Dillinger, and N. Anterist, J. Cataract Refract. Surg. 4, 627 (2003).

J. Opt. Soc. Am. A

J. Refract. Surg.

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

S. Marcos, J. Refract. Surg. 17, 596 (2001).

Optom. Vis. Sci.

W. N. Charman, Optom. Vis. Sci. 68, 574 (1991).
[CrossRef] [PubMed]

Vis. Res.

P. Artal, S. Marcos, I. Iglesias, and D. G. Green, Vis. Res. 36, 3575 (1996).
[CrossRef]

Other

L. N. Thibos, R. A. Applegate, J. T. Schwiegerling, and R. Webb, in Vision Science and Its Applications, V. Lakshimarayanan, ed., Vol. 35 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2000), p. 110.

W. J. Smith, Modern Optical Engineering: The Design of Optical Systems, 2nd ed. (McGraw-Hill, New York, 1995).

Y. K. Nio, N. M. Jansonius, E. Geraghty, S. Norrby, and A. C. Kooijman, “Spherical and irregular aberrations in eye optics may improve quality of vision after intraocular lens implantation,” J. Refract. Surg. (to be published).

D. R. Williams, G. Y. Yoon, A. Guirao, H. Hofer, and J. Porter, in Customized Corneal Ablation: The Quest for SuperVision, S. M. MacRae, R. R. Kreuger, and R. A. Applegate, eds. (SLACK Incorporated, Thorofare, N.J., 2001), p. 11.

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Figures (3)

Fig. 1
Fig. 1

SA coefficient, Z4,0, predicted using physiological eye models containing the Z9000 lens and the SI40NB lens for a 4-mm pupil. These values are compared with the average measured Z4,0 (obtained with a Hartmann–Shack wave-front sensor and a 4-mm pupil) in patients implanted with these lenses.

Fig. 2
Fig. 2

Log of the polychromatic MTF values for a 20-D Z9000 lens and a 20-D SI40NB lens in a pseudophakic eye model for a 4-mm pupil. The MTFs calculated for λ=450,550, 650 nm are weighted using the photopic spectral luminous efficiency function Vλ of the human eye to determine the log of the polychromatic MTF.

Fig. 3
Fig. 3

Average mesopic log CSF values 3 months postoperatively for eyes implanted with the Z9000 and SI40NB lenses.

Equations (1)

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z=1/Rr21+1-Q+11/R2r21/2+adr4+aer6,

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