Abstract

We propose a complete methodology to develop custom monofocal Intraocular Lens (IOL) designs and evaluate their performance on-axis based on an analytical formulation. The analytical formulation was based on Gaussian and primary aberration theory applied to custom (individual biometric data) and realistic (multilayer cornea and thick IOL) pseudoaphakic eye models. Gradient-based optimization algorithms were performed to search for optimal designs. Using two parameters, the best design was obtained by directly minimizing the wavefront variance. We showed, in a case example, that custom designs achieved better final performance than generic IOL designs. Tolerances analysis allowed an evaluation of the implications of the manufacturing errors of the different parameters.

© 2007 Optical Society of America

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    [CrossRef] [PubMed]

2007 (5)

S. Marcos, P. Rosales, L. Llorente, and I. Jimenez-Alfaro, "Change in corneal aberrations after cataract surgery with 2 types of aspherical intraocular lenses," J. Cataract. Refract. Surg. 33, 217-226 (2007).
[CrossRef] [PubMed]

A. de Castro, P. Rosales, and S. Marcos, "Tilt and decentration of intraocular lenses in vivo from Purkinje and Scheimpflug imaging," J. Cataract. Refract. Surg. 33,418-429 (2007).
[CrossRef] [PubMed]

A. Franchini, "Compromise between spherical and chromatic aberration and depth of focus in aspheric intraocular lenses," J. Cataract. Refract. Surg. 33, 497-509 (2007).
[CrossRef] [PubMed]

J. Tabernero, P. Piers, and P. Artal, "Intraocular lens to correct corneal coma," Opt. Lett. 32,406-408 (2007).
[CrossRef] [PubMed]

P. Rosales, and S. Marcos, "Customized computer models of eyes with intraocular lenses," Opt. Express 15, 2204-2218 (2007), http://www.opticsinfobase.org/abstract.cfm?URI=oe-15-5-2204.
[CrossRef] [PubMed]

2006 (5)

2005 (2)

D. A. Atchison, and G. Smith, "Chromatic dispersions of the ocular media of human eyes," J. Opt. Soc. Am. 22, 29-37 (2005).
[CrossRef]

G. E. MacKenzie, "Compensation of aniseikonia in astigmatic pseudophakic eyes," Ophthalmic Physiol. Opt. 25,576-581 (2005).
[CrossRef] [PubMed]

2004 (2)

A. Guirao, J. Tejedor, and P. Artal, "Corneal aberrations before and after small-incision cataract surgery," Invest. Ophthalmol. Visual Sci. 45,4312-4319 (2004).
[CrossRef]

X. Cheng, A. Bradley, and L. N. Thibos, "Predicting subjective judgment of best focus with objective image quality metrics," J. Vision 4,310-321 (2004).
[CrossRef]

2003 (2)

S. Barbero, S. Marcos, and I. Jimenez-Alfaro, "Optical aberrations of intraocular lenses measured in vivo and in vitro," J. Opt. Soc. Am. A 20, 1841-1851 (2003).
[CrossRef]

A. Guirao, and D. R. Williams, "A method to predict refractive errors from wave aberration data," Optom. Vision Sci. 80,36-42 (2003).
[CrossRef]

2002 (4)

S. Barbero, S. Marcos, J. Merayo-Lloves, and E. Moreno-Barriuso, "Validation of the estimation of corneal aberrations from videokeratography in keratoconus," J. Refractive Surg. 18, 263-270 (2002).

J. S. McLellan, S. Marcos, P. M. Prieto, and S. A. Burns, "Imperfect optics may be the eye’s defence against chromatic blur," Nature 417,174-176 (2002).
[CrossRef] [PubMed]

L. N. Thibos, X. Hong, A. Bradley, and X. Cheng, "Statistical variation of aberration structure and image quality in a normal population of healthy eyes," J. Opt. Soc. Am. A 19,2329-2348 (2002).
[CrossRef]

P. R. Preusner, J. Wahl, H. Lahdo, B. Dick, and O. Findl, "Ray tracing for intraocular lens calculation," J. Cataract. Refract. Surg. 28,1412-1419 (2002).
[CrossRef] [PubMed]

2001 (1)

J. C. Erie, M. H. Bandhauer, and J. W. McLaren, "Analysis of postoperative glare and intraocular lens design," J. Cataract. Refract. Surg. 27, 614-621 (2001).
[CrossRef] [PubMed]

2000 (2)

P. R. Preussner, and J. Wahl, "Consistent numerical calculation of the optics of the pseudophakie eye," Ophthalmologe 97,126-141 (2000).
[CrossRef]

A. Stockman, and L. T. Sharpe, "The spectral sensitivities of the middle- and long-wavelength-sensitive cones derived from measurements in observers of known genotype," Vision Res. 40, 1711 (2000).
[CrossRef] [PubMed]

1999 (1)

S. Marcos, and S. A. Burns, "Cone spacing and waveguide properties from cone directionality measurements," J. Opt. Soc. Am. 16,995-1004 (1999).
[CrossRef]

1997 (1)

E. R. Villegas, L. Carretero, and A. Fimia, "Optimum bending factor of intraocular lenses in pseudophakic eyes with high myopia," J. Mod. Opt. 44,941-952 (1997).
[CrossRef]

1996 (1)

C. Gonzalez, I. Pascual, A. Bacete, and A. Fimia, "Elimination and minimization of the spherical aberration of intraocular lenses in high myopia," Ophthalmic. Physiol. Opt. 16,19-30 (1996).
[CrossRef] [PubMed]

1994 (1)

B. Winn, D. Whitaker, D. B. Elliott, and N. J. Phillips, "Factors affecting ligtht-adapted pupil size in normal human subjects," Invest. Ophthalmol. Visual Sci. 35,1132-1137 (1994).

1992 (2)

M. J. Simpson, "Optical-Quality Of Intraocular Lenses," J. Cataract. Refract. Surg. 18,86-94 (1992).
[PubMed]

T. Olsen, "Sources Of Error In Intraocular-Lens Power Calculation," J. Cataract. Refract. Surg. 18,125-129 (1992).
[PubMed]

1991 (2)

G. Smith, and C.W. Lu, "Peripheral Power Errors And Astigmatism Of Eyes CorrectedWith Intraocular Lenses," Optom. Vision Sci. 68, 12-21 (1991).
[CrossRef]

D. A. Atchison, "Design Of Aspheric Intraocular Lenses," Ophthalmic Physiol. Opt. 11, 137-146 (1991).
[CrossRef] [PubMed]

1990 (1)

C. W. Lu, and G. Smith, "The Aspherizing Of Intraocular Lenses," Ophthalmic. Physiol. Opt. 10, 54-66 (1990).
[CrossRef] [PubMed]

1989 (4)

D. A. Atchison, "3rd-Order Aberrations Of Pseudophakic Eyes," Ophthalmic Physiol. Opt. 9, 205-211 (1989).
[CrossRef] [PubMed]

D. A. Atchison, "Optical Design Of Intraocular Lenses.2. Off-Axis Performance," Optom. Vision Sci. 66, 579-590 (1989).
[CrossRef]

D. A. Atchison, "Optical Design Of Intraocular Lenses.1. On-Axis Performance," Optom. Vision Sci. 66, 492-506 (1989).
[CrossRef]

D. A. Atchison, "Optical Design Of Intraocular Lenses.3. On-Axis Performance In The Presence Of Lens Displacement," Optom. Vision Sci. 66, 671-681 (1989).
[CrossRef]

1988 (1)

G. Smith, and C. W. Lu, "The Spherical-Aberration Of Intra-Ocular Lenses," Ophthalmic Physiol. Opt. 8,287-294 (1988).
[CrossRef] [PubMed]

1977 (1)

W. M. Rosenblum, and D. L. Shealy, "Caustic Analysis Of Interocular Lens Implants In Humans," J. Opt. Soc. Am. 67, 1427-1427 (1977).

1975 (1)

D. L. Shealy, and W. M. Rosenblum, "Caustic And Analytical Illuminance Calculations For A Model Of Human Eye," Opt. Eng. 14, 237-240 (1975).

Artal, P.

J. Tabernero, P. Piers, and P. Artal, "Intraocular lens to correct corneal coma," Opt. Lett. 32,406-408 (2007).
[CrossRef] [PubMed]

A. Guirao, J. Tejedor, and P. Artal, "Corneal aberrations before and after small-incision cataract surgery," Invest. Ophthalmol. Visual Sci. 45,4312-4319 (2004).
[CrossRef]

Atchison, D. A.

G. Smith, D. A. Atchison, and S. Barbero, "Effect of defocus on on-axis wave aberration of a centered optical system," J. Opt. Soc. Am. A 23, 2686-2689 (2006).
[CrossRef]

D. A. Atchison, and G. Smith, "Chromatic dispersions of the ocular media of human eyes," J. Opt. Soc. Am. 22, 29-37 (2005).
[CrossRef]

D. A. Atchison, "Design Of Aspheric Intraocular Lenses," Ophthalmic Physiol. Opt. 11, 137-146 (1991).
[CrossRef] [PubMed]

D. A. Atchison, "3rd-Order Aberrations Of Pseudophakic Eyes," Ophthalmic Physiol. Opt. 9, 205-211 (1989).
[CrossRef] [PubMed]

D. A. Atchison, "Optical Design Of Intraocular Lenses.3. On-Axis Performance In The Presence Of Lens Displacement," Optom. Vision Sci. 66, 671-681 (1989).
[CrossRef]

D. A. Atchison, "Optical Design Of Intraocular Lenses.1. On-Axis Performance," Optom. Vision Sci. 66, 492-506 (1989).
[CrossRef]

D. A. Atchison, "Optical Design Of Intraocular Lenses.2. Off-Axis Performance," Optom. Vision Sci. 66, 579-590 (1989).
[CrossRef]

Bacete, A.

C. Gonzalez, I. Pascual, A. Bacete, and A. Fimia, "Elimination and minimization of the spherical aberration of intraocular lenses in high myopia," Ophthalmic. Physiol. Opt. 16,19-30 (1996).
[CrossRef] [PubMed]

Bandhauer, M. H.

J. C. Erie, M. H. Bandhauer, and J. W. McLaren, "Analysis of postoperative glare and intraocular lens design," J. Cataract. Refract. Surg. 27, 614-621 (2001).
[CrossRef] [PubMed]

Barbero, S.

Bradley, A.

X. Cheng, A. Bradley, and L. N. Thibos, "Predicting subjective judgment of best focus with objective image quality metrics," J. Vision 4,310-321 (2004).
[CrossRef]

L. N. Thibos, X. Hong, A. Bradley, and X. Cheng, "Statistical variation of aberration structure and image quality in a normal population of healthy eyes," J. Opt. Soc. Am. A 19,2329-2348 (2002).
[CrossRef]

Burns, S. A.

J. S. McLellan, S. Marcos, P. M. Prieto, and S. A. Burns, "Imperfect optics may be the eye’s defence against chromatic blur," Nature 417,174-176 (2002).
[CrossRef] [PubMed]

S. Marcos, and S. A. Burns, "Cone spacing and waveguide properties from cone directionality measurements," J. Opt. Soc. Am. 16,995-1004 (1999).
[CrossRef]

Carretero, L.

E. R. Villegas, L. Carretero, and A. Fimia, "Optimum bending factor of intraocular lenses in pseudophakic eyes with high myopia," J. Mod. Opt. 44,941-952 (1997).
[CrossRef]

Cheng, X.

X. Cheng, A. Bradley, and L. N. Thibos, "Predicting subjective judgment of best focus with objective image quality metrics," J. Vision 4,310-321 (2004).
[CrossRef]

L. N. Thibos, X. Hong, A. Bradley, and X. Cheng, "Statistical variation of aberration structure and image quality in a normal population of healthy eyes," J. Opt. Soc. Am. A 19,2329-2348 (2002).
[CrossRef]

Dai, G. M.

de Castro, A.

A. de Castro, P. Rosales, and S. Marcos, "Tilt and decentration of intraocular lenses in vivo from Purkinje and Scheimpflug imaging," J. Cataract. Refract. Surg. 33,418-429 (2007).
[CrossRef] [PubMed]

Dick, B.

P. R. Preusner, J. Wahl, H. Lahdo, B. Dick, and O. Findl, "Ray tracing for intraocular lens calculation," J. Cataract. Refract. Surg. 28,1412-1419 (2002).
[CrossRef] [PubMed]

Elliott, D. B.

B. Winn, D. Whitaker, D. B. Elliott, and N. J. Phillips, "Factors affecting ligtht-adapted pupil size in normal human subjects," Invest. Ophthalmol. Visual Sci. 35,1132-1137 (1994).

Erie, J. C.

J. C. Erie, M. H. Bandhauer, and J. W. McLaren, "Analysis of postoperative glare and intraocular lens design," J. Cataract. Refract. Surg. 27, 614-621 (2001).
[CrossRef] [PubMed]

Fimia, A.

E. R. Villegas, L. Carretero, and A. Fimia, "Optimum bending factor of intraocular lenses in pseudophakic eyes with high myopia," J. Mod. Opt. 44,941-952 (1997).
[CrossRef]

C. Gonzalez, I. Pascual, A. Bacete, and A. Fimia, "Elimination and minimization of the spherical aberration of intraocular lenses in high myopia," Ophthalmic. Physiol. Opt. 16,19-30 (1996).
[CrossRef] [PubMed]

Findl, O.

P. R. Preusner, J. Wahl, H. Lahdo, B. Dick, and O. Findl, "Ray tracing for intraocular lens calculation," J. Cataract. Refract. Surg. 28,1412-1419 (2002).
[CrossRef] [PubMed]

Franchini, A.

A. Franchini, "Compromise between spherical and chromatic aberration and depth of focus in aspheric intraocular lenses," J. Cataract. Refract. Surg. 33, 497-509 (2007).
[CrossRef] [PubMed]

Glasser, A.

S. Kasthurirangan, and A. Glasser, "Age related changes in accommodative dynamics in humans," Vision Res. 46,1507-1519 (2006).
[CrossRef]

Gonzalez, C.

C. Gonzalez, I. Pascual, A. Bacete, and A. Fimia, "Elimination and minimization of the spherical aberration of intraocular lenses in high myopia," Ophthalmic. Physiol. Opt. 16,19-30 (1996).
[CrossRef] [PubMed]

Guirao, A.

A. Guirao, J. Tejedor, and P. Artal, "Corneal aberrations before and after small-incision cataract surgery," Invest. Ophthalmol. Visual Sci. 45,4312-4319 (2004).
[CrossRef]

A. Guirao, and D. R. Williams, "A method to predict refractive errors from wave aberration data," Optom. Vision Sci. 80,36-42 (2003).
[CrossRef]

Hong, X.

Jimenez-Alfaro, I.

S. Marcos, P. Rosales, L. Llorente, and I. Jimenez-Alfaro, "Change in corneal aberrations after cataract surgery with 2 types of aspherical intraocular lenses," J. Cataract. Refract. Surg. 33, 217-226 (2007).
[CrossRef] [PubMed]

S. Barbero, S. Marcos, and I. Jimenez-Alfaro, "Optical aberrations of intraocular lenses measured in vivo and in vitro," J. Opt. Soc. Am. A 20, 1841-1851 (2003).
[CrossRef]

Kasthurirangan, S.

S. Kasthurirangan, and A. Glasser, "Age related changes in accommodative dynamics in humans," Vision Res. 46,1507-1519 (2006).
[CrossRef]

Lahdo, H.

P. R. Preusner, J. Wahl, H. Lahdo, B. Dick, and O. Findl, "Ray tracing for intraocular lens calculation," J. Cataract. Refract. Surg. 28,1412-1419 (2002).
[CrossRef] [PubMed]

Llorente, L.

S. Marcos, P. Rosales, L. Llorente, and I. Jimenez-Alfaro, "Change in corneal aberrations after cataract surgery with 2 types of aspherical intraocular lenses," J. Cataract. Refract. Surg. 33, 217-226 (2007).
[CrossRef] [PubMed]

Lu, C. W.

C. W. Lu, and G. Smith, "The Aspherizing Of Intraocular Lenses," Ophthalmic. Physiol. Opt. 10, 54-66 (1990).
[CrossRef] [PubMed]

G. Smith, and C. W. Lu, "The Spherical-Aberration Of Intra-Ocular Lenses," Ophthalmic Physiol. Opt. 8,287-294 (1988).
[CrossRef] [PubMed]

Lu, C.W.

G. Smith, and C.W. Lu, "Peripheral Power Errors And Astigmatism Of Eyes CorrectedWith Intraocular Lenses," Optom. Vision Sci. 68, 12-21 (1991).
[CrossRef]

MacKenzie, G. E.

G. E. MacKenzie, "Compensation of aniseikonia in astigmatic pseudophakic eyes," Ophthalmic Physiol. Opt. 25,576-581 (2005).
[CrossRef] [PubMed]

Marcos, S.

A. de Castro, P. Rosales, and S. Marcos, "Tilt and decentration of intraocular lenses in vivo from Purkinje and Scheimpflug imaging," J. Cataract. Refract. Surg. 33,418-429 (2007).
[CrossRef] [PubMed]

P. Rosales, and S. Marcos, "Customized computer models of eyes with intraocular lenses," Opt. Express 15, 2204-2218 (2007), http://www.opticsinfobase.org/abstract.cfm?URI=oe-15-5-2204.
[CrossRef] [PubMed]

S. Marcos, P. Rosales, L. Llorente, and I. Jimenez-Alfaro, "Change in corneal aberrations after cataract surgery with 2 types of aspherical intraocular lenses," J. Cataract. Refract. Surg. 33, 217-226 (2007).
[CrossRef] [PubMed]

S. Barbero, S. Marcos, and I. Jimenez-Alfaro, "Optical aberrations of intraocular lenses measured in vivo and in vitro," J. Opt. Soc. Am. A 20, 1841-1851 (2003).
[CrossRef]

S. Barbero, S. Marcos, J. Merayo-Lloves, and E. Moreno-Barriuso, "Validation of the estimation of corneal aberrations from videokeratography in keratoconus," J. Refractive Surg. 18, 263-270 (2002).

J. S. McLellan, S. Marcos, P. M. Prieto, and S. A. Burns, "Imperfect optics may be the eye’s defence against chromatic blur," Nature 417,174-176 (2002).
[CrossRef] [PubMed]

S. Marcos, and S. A. Burns, "Cone spacing and waveguide properties from cone directionality measurements," J. Opt. Soc. Am. 16,995-1004 (1999).
[CrossRef]

McLaren, J. W.

J. C. Erie, M. H. Bandhauer, and J. W. McLaren, "Analysis of postoperative glare and intraocular lens design," J. Cataract. Refract. Surg. 27, 614-621 (2001).
[CrossRef] [PubMed]

McLellan, J. S.

J. S. McLellan, S. Marcos, P. M. Prieto, and S. A. Burns, "Imperfect optics may be the eye’s defence against chromatic blur," Nature 417,174-176 (2002).
[CrossRef] [PubMed]

Merayo-Lloves, J.

S. Barbero, S. Marcos, J. Merayo-Lloves, and E. Moreno-Barriuso, "Validation of the estimation of corneal aberrations from videokeratography in keratoconus," J. Refractive Surg. 18, 263-270 (2002).

Moreno-Barriuso, E.

S. Barbero, S. Marcos, J. Merayo-Lloves, and E. Moreno-Barriuso, "Validation of the estimation of corneal aberrations from videokeratography in keratoconus," J. Refractive Surg. 18, 263-270 (2002).

Olsen, T.

T. Olsen, "Prediction of the effective postoperative (intraocular lens) anterior chamber depth," J. Cataract. Refract. Surg. 32,419-424 (2006).
[CrossRef] [PubMed]

T. Olsen, "Sources Of Error In Intraocular-Lens Power Calculation," J. Cataract. Refract. Surg. 18,125-129 (1992).
[PubMed]

Pascual, I.

C. Gonzalez, I. Pascual, A. Bacete, and A. Fimia, "Elimination and minimization of the spherical aberration of intraocular lenses in high myopia," Ophthalmic. Physiol. Opt. 16,19-30 (1996).
[CrossRef] [PubMed]

Phillips, N. J.

B. Winn, D. Whitaker, D. B. Elliott, and N. J. Phillips, "Factors affecting ligtht-adapted pupil size in normal human subjects," Invest. Ophthalmol. Visual Sci. 35,1132-1137 (1994).

Piers, P.

Preusner, P. R.

P. R. Preusner, J. Wahl, H. Lahdo, B. Dick, and O. Findl, "Ray tracing for intraocular lens calculation," J. Cataract. Refract. Surg. 28,1412-1419 (2002).
[CrossRef] [PubMed]

Preussner, P. R.

P. R. Preussner, and J. Wahl, "Consistent numerical calculation of the optics of the pseudophakie eye," Ophthalmologe 97,126-141 (2000).
[CrossRef]

Prieto, P. M.

J. S. McLellan, S. Marcos, P. M. Prieto, and S. A. Burns, "Imperfect optics may be the eye’s defence against chromatic blur," Nature 417,174-176 (2002).
[CrossRef] [PubMed]

Rosales, P.

P. Rosales, and S. Marcos, "Customized computer models of eyes with intraocular lenses," Opt. Express 15, 2204-2218 (2007), http://www.opticsinfobase.org/abstract.cfm?URI=oe-15-5-2204.
[CrossRef] [PubMed]

A. de Castro, P. Rosales, and S. Marcos, "Tilt and decentration of intraocular lenses in vivo from Purkinje and Scheimpflug imaging," J. Cataract. Refract. Surg. 33,418-429 (2007).
[CrossRef] [PubMed]

S. Marcos, P. Rosales, L. Llorente, and I. Jimenez-Alfaro, "Change in corneal aberrations after cataract surgery with 2 types of aspherical intraocular lenses," J. Cataract. Refract. Surg. 33, 217-226 (2007).
[CrossRef] [PubMed]

Rosenblum, W. M.

W. M. Rosenblum, and D. L. Shealy, "Caustic Analysis Of Interocular Lens Implants In Humans," J. Opt. Soc. Am. 67, 1427-1427 (1977).

D. L. Shealy, and W. M. Rosenblum, "Caustic And Analytical Illuminance Calculations For A Model Of Human Eye," Opt. Eng. 14, 237-240 (1975).

Sharpe, L. T.

A. Stockman, and L. T. Sharpe, "The spectral sensitivities of the middle- and long-wavelength-sensitive cones derived from measurements in observers of known genotype," Vision Res. 40, 1711 (2000).
[CrossRef] [PubMed]

Shealy, D. L.

W. M. Rosenblum, and D. L. Shealy, "Caustic Analysis Of Interocular Lens Implants In Humans," J. Opt. Soc. Am. 67, 1427-1427 (1977).

D. L. Shealy, and W. M. Rosenblum, "Caustic And Analytical Illuminance Calculations For A Model Of Human Eye," Opt. Eng. 14, 237-240 (1975).

Simpson, M. J.

M. J. Simpson, "Optical-Quality Of Intraocular Lenses," J. Cataract. Refract. Surg. 18,86-94 (1992).
[PubMed]

Smith, G.

G. Smith, D. A. Atchison, and S. Barbero, "Effect of defocus on on-axis wave aberration of a centered optical system," J. Opt. Soc. Am. A 23, 2686-2689 (2006).
[CrossRef]

D. A. Atchison, and G. Smith, "Chromatic dispersions of the ocular media of human eyes," J. Opt. Soc. Am. 22, 29-37 (2005).
[CrossRef]

G. Smith, and C.W. Lu, "Peripheral Power Errors And Astigmatism Of Eyes CorrectedWith Intraocular Lenses," Optom. Vision Sci. 68, 12-21 (1991).
[CrossRef]

C. W. Lu, and G. Smith, "The Aspherizing Of Intraocular Lenses," Ophthalmic. Physiol. Opt. 10, 54-66 (1990).
[CrossRef] [PubMed]

G. Smith, and C. W. Lu, "The Spherical-Aberration Of Intra-Ocular Lenses," Ophthalmic Physiol. Opt. 8,287-294 (1988).
[CrossRef] [PubMed]

Stockman, A.

A. Stockman, and L. T. Sharpe, "The spectral sensitivities of the middle- and long-wavelength-sensitive cones derived from measurements in observers of known genotype," Vision Res. 40, 1711 (2000).
[CrossRef] [PubMed]

Tabernero, J.

Tejedor, J.

A. Guirao, J. Tejedor, and P. Artal, "Corneal aberrations before and after small-incision cataract surgery," Invest. Ophthalmol. Visual Sci. 45,4312-4319 (2004).
[CrossRef]

Thibos, L. N.

X. Cheng, A. Bradley, and L. N. Thibos, "Predicting subjective judgment of best focus with objective image quality metrics," J. Vision 4,310-321 (2004).
[CrossRef]

L. N. Thibos, X. Hong, A. Bradley, and X. Cheng, "Statistical variation of aberration structure and image quality in a normal population of healthy eyes," J. Opt. Soc. Am. A 19,2329-2348 (2002).
[CrossRef]

Villegas, E. R.

E. R. Villegas, L. Carretero, and A. Fimia, "Optimum bending factor of intraocular lenses in pseudophakic eyes with high myopia," J. Mod. Opt. 44,941-952 (1997).
[CrossRef]

Wahl, J.

P. R. Preusner, J. Wahl, H. Lahdo, B. Dick, and O. Findl, "Ray tracing for intraocular lens calculation," J. Cataract. Refract. Surg. 28,1412-1419 (2002).
[CrossRef] [PubMed]

P. R. Preussner, and J. Wahl, "Consistent numerical calculation of the optics of the pseudophakie eye," Ophthalmologe 97,126-141 (2000).
[CrossRef]

Whitaker, D.

B. Winn, D. Whitaker, D. B. Elliott, and N. J. Phillips, "Factors affecting ligtht-adapted pupil size in normal human subjects," Invest. Ophthalmol. Visual Sci. 35,1132-1137 (1994).

Williams, D. R.

A. Guirao, and D. R. Williams, "A method to predict refractive errors from wave aberration data," Optom. Vision Sci. 80,36-42 (2003).
[CrossRef]

Winn, B.

B. Winn, D. Whitaker, D. B. Elliott, and N. J. Phillips, "Factors affecting ligtht-adapted pupil size in normal human subjects," Invest. Ophthalmol. Visual Sci. 35,1132-1137 (1994).

Appl. Opt. (1)

Invest. Ophthalmol. Visual Sci. (2)

B. Winn, D. Whitaker, D. B. Elliott, and N. J. Phillips, "Factors affecting ligtht-adapted pupil size in normal human subjects," Invest. Ophthalmol. Visual Sci. 35,1132-1137 (1994).

A. Guirao, J. Tejedor, and P. Artal, "Corneal aberrations before and after small-incision cataract surgery," Invest. Ophthalmol. Visual Sci. 45,4312-4319 (2004).
[CrossRef]

J. Cataract. Refract. Surg. (8)

S. Marcos, P. Rosales, L. Llorente, and I. Jimenez-Alfaro, "Change in corneal aberrations after cataract surgery with 2 types of aspherical intraocular lenses," J. Cataract. Refract. Surg. 33, 217-226 (2007).
[CrossRef] [PubMed]

M. J. Simpson, "Optical-Quality Of Intraocular Lenses," J. Cataract. Refract. Surg. 18,86-94 (1992).
[PubMed]

J. C. Erie, M. H. Bandhauer, and J. W. McLaren, "Analysis of postoperative glare and intraocular lens design," J. Cataract. Refract. Surg. 27, 614-621 (2001).
[CrossRef] [PubMed]

P. R. Preusner, J. Wahl, H. Lahdo, B. Dick, and O. Findl, "Ray tracing for intraocular lens calculation," J. Cataract. Refract. Surg. 28,1412-1419 (2002).
[CrossRef] [PubMed]

T. Olsen, "Sources Of Error In Intraocular-Lens Power Calculation," J. Cataract. Refract. Surg. 18,125-129 (1992).
[PubMed]

T. Olsen, "Prediction of the effective postoperative (intraocular lens) anterior chamber depth," J. Cataract. Refract. Surg. 32,419-424 (2006).
[CrossRef] [PubMed]

A. Franchini, "Compromise between spherical and chromatic aberration and depth of focus in aspheric intraocular lenses," J. Cataract. Refract. Surg. 33, 497-509 (2007).
[CrossRef] [PubMed]

A. de Castro, P. Rosales, and S. Marcos, "Tilt and decentration of intraocular lenses in vivo from Purkinje and Scheimpflug imaging," J. Cataract. Refract. Surg. 33,418-429 (2007).
[CrossRef] [PubMed]

J. Mod. Opt. (1)

E. R. Villegas, L. Carretero, and A. Fimia, "Optimum bending factor of intraocular lenses in pseudophakic eyes with high myopia," J. Mod. Opt. 44,941-952 (1997).
[CrossRef]

J. Opt. Soc. Am. (3)

D. A. Atchison, and G. Smith, "Chromatic dispersions of the ocular media of human eyes," J. Opt. Soc. Am. 22, 29-37 (2005).
[CrossRef]

W. M. Rosenblum, and D. L. Shealy, "Caustic Analysis Of Interocular Lens Implants In Humans," J. Opt. Soc. Am. 67, 1427-1427 (1977).

S. Marcos, and S. A. Burns, "Cone spacing and waveguide properties from cone directionality measurements," J. Opt. Soc. Am. 16,995-1004 (1999).
[CrossRef]

J. Opt. Soc. Am. A (4)

J. Refractive Surg. (1)

S. Barbero, S. Marcos, J. Merayo-Lloves, and E. Moreno-Barriuso, "Validation of the estimation of corneal aberrations from videokeratography in keratoconus," J. Refractive Surg. 18, 263-270 (2002).

J. Vision (1)

X. Cheng, A. Bradley, and L. N. Thibos, "Predicting subjective judgment of best focus with objective image quality metrics," J. Vision 4,310-321 (2004).
[CrossRef]

Nature (1)

J. S. McLellan, S. Marcos, P. M. Prieto, and S. A. Burns, "Imperfect optics may be the eye’s defence against chromatic blur," Nature 417,174-176 (2002).
[CrossRef] [PubMed]

Ophthalmic Physiol. Opt. (4)

G. E. MacKenzie, "Compensation of aniseikonia in astigmatic pseudophakic eyes," Ophthalmic Physiol. Opt. 25,576-581 (2005).
[CrossRef] [PubMed]

G. Smith, and C. W. Lu, "The Spherical-Aberration Of Intra-Ocular Lenses," Ophthalmic Physiol. Opt. 8,287-294 (1988).
[CrossRef] [PubMed]

D. A. Atchison, "3rd-Order Aberrations Of Pseudophakic Eyes," Ophthalmic Physiol. Opt. 9, 205-211 (1989).
[CrossRef] [PubMed]

D. A. Atchison, "Design Of Aspheric Intraocular Lenses," Ophthalmic Physiol. Opt. 11, 137-146 (1991).
[CrossRef] [PubMed]

Ophthalmic. Physiol. Opt. (2)

C. Gonzalez, I. Pascual, A. Bacete, and A. Fimia, "Elimination and minimization of the spherical aberration of intraocular lenses in high myopia," Ophthalmic. Physiol. Opt. 16,19-30 (1996).
[CrossRef] [PubMed]

C. W. Lu, and G. Smith, "The Aspherizing Of Intraocular Lenses," Ophthalmic. Physiol. Opt. 10, 54-66 (1990).
[CrossRef] [PubMed]

Ophthalmologe (1)

P. R. Preussner, and J. Wahl, "Consistent numerical calculation of the optics of the pseudophakie eye," Ophthalmologe 97,126-141 (2000).
[CrossRef]

Opt. Eng. (1)

D. L. Shealy, and W. M. Rosenblum, "Caustic And Analytical Illuminance Calculations For A Model Of Human Eye," Opt. Eng. 14, 237-240 (1975).

Opt. Express (1)

Opt. Lett. (1)

Optom. Vision Sci. (5)

A. Guirao, and D. R. Williams, "A method to predict refractive errors from wave aberration data," Optom. Vision Sci. 80,36-42 (2003).
[CrossRef]

D. A. Atchison, "Optical Design Of Intraocular Lenses.1. On-Axis Performance," Optom. Vision Sci. 66, 492-506 (1989).
[CrossRef]

D. A. Atchison, "Optical Design Of Intraocular Lenses.3. On-Axis Performance In The Presence Of Lens Displacement," Optom. Vision Sci. 66, 671-681 (1989).
[CrossRef]

D. A. Atchison, "Optical Design Of Intraocular Lenses.2. Off-Axis Performance," Optom. Vision Sci. 66, 579-590 (1989).
[CrossRef]

G. Smith, and C.W. Lu, "Peripheral Power Errors And Astigmatism Of Eyes CorrectedWith Intraocular Lenses," Optom. Vision Sci. 68, 12-21 (1991).
[CrossRef]

Vision Res. (2)

A. Stockman, and L. T. Sharpe, "The spectral sensitivities of the middle- and long-wavelength-sensitive cones derived from measurements in observers of known genotype," Vision Res. 40, 1711 (2000).
[CrossRef] [PubMed]

S. Kasthurirangan, and A. Glasser, "Age related changes in accommodative dynamics in humans," Vision Res. 46,1507-1519 (2006).
[CrossRef]

Other (7)

R. R. Fletcher, Practical methods of optimization (John Wiley & Sons Ltd, 1987).

K. S. Kamal, "Intraocular lens manufacturing process," B. L. Incorporated, ed. (USA, 2002).

M. Born, E. Wolf, and A. Joint, Principles of optics: electromagnetic theory of propagation, interference and diffraction of light, (New York, Oxford, 1980).
[PubMed]

G. O. Smith, and D. A. Atchison, The eye and visual optical instruments (Cambridge University Press, 1997).
[CrossRef]

V. V. N. Mahajan, Optical imaging and aberrations (SPIE Optical Engineering Press, 1998).

S. Norrby, P. Artal, P. A. Piers, and M. Van der Mooren, "Methods of obtaining ophthalmic lenses providing the eye with reduced aberrations," N. Pharmacia Groningen BV (2000).

H. H. J. Shammas, Intraocular lens power calculations (Slack Incorporated 2004).

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Figures (5)

Fig. 1.
Fig. 1.

Contour plots of the equivalent defocus (Me) as function of the two radii of curvature of: (a) Biconvex IOL design (b) Meniscus IOL design. The colorbar represents Me in Diopters. Contour lines are plotted every 0.25 D. The scale of the x-axis and y-axis are different to allow better visualization. Results are for the custom pseudoaphakic eye model of Table 2. Pupil radius is set to 2 mm.

Fig. 2.
Fig. 2.

Contour plots of the equivalent defocus (Me) of a biconvex IOL design as function of: (a) The anterior radius of curvature and asphericity (b) The posterior radius of curvature and asphericity. The colorbar represents Me in Diopters. Contour lines are plotted every 0.25 D. The scale of the x-axis and y-axis are different to allow better visualization. Results are for the custom pseudoaphakic eye model of Table 2. Pupil radius is set to 2 mm.

Fig. 3.
Fig. 3.

Scheme of cascade optimization steps, using different targets and different design parameters in each step. Radii of curvatures (Ra and Rp) and asphericities (Qa and Qp) were used as design parameters. IOL thickness was set as fixed parameter (custom value of Table 2). The merit function, with the target and design parameters used, is shown in the circular shaped rectangular boxes, whereas the designs obtained in each step appear in rectangular boxes and are labelled with IOL followed by a number code. See text for details.

Fig. 4.
Fig. 4.

Defocus term (W20), spherical aberration (W40) and the equivalent defocus in Diopters units as function of pupil radius (mm) using the pseudoaphakic eye model of Table 2.

Fig. 5.
Fig. 5.

Defocus term (W20), spherical aberration (W40) and the equivalent defocus in Diopters as function of the anterior chamber depth (mm) using the pseudoaphakic eye model of Table 2.

Tables (6)

Tables Icon

Table 1. Parameters of a generic pseudoaphakic eye model. C denotes a custom parameter. R denotes the apical radius. Q denotes the asphericity (or deformation factor)defined by the conic explicit formula: Y 2 = 2Rz-(1+Q)z 2. n(λ) a , n(λ) v and n(λ) c denote the refractive index dispersion formulae for the aqueous, vitreous and corneal media derived by Atchison et al[26]. I1: Air-Tear. I2: Tear-Epithelium. I3: Epithelium-Stroma. I4: Stroma-Aqueous. I5: Aqueous-IOL. I6: IOL-Vitreous

Tables Icon

Table 2. Parameters of a case example customized pseudoaphakic eye model (patient AA with an 22 D Tecnis Z9000 IOL). R denotes the apical radius. Q denotes the asphericity (or deformation factor)defined by the conic explicit formula: Y 2 = 2Rz-(1+Q)z 2. n(λ) a , n(λ) v , n(λ) c and n(λ) s denote the refractive index dispersion formulae for the aqueous, vitreous, corneal and silicon media. I1: Air-Tear. I2: Tear-Epithelium. I3: Epithelium-Stroma. I4: Stroma-Aqueous. I5: Aqueous-IOL. I6: IOL-Vitreous

Tables Icon

Table 3. Design specifications and efficiency of the optimization algorithm. Ra and Rp denote the anterior and posterior radii of curvature of the IOL. Qa and Qp denote the anterior and posterior asphericities of the IOL. Me denotes the equivalent defocus for the IOL design in the pseudoaphakic for the eye model of Table 2. N iterations denotes for the number of iterations needed by the optimization searching algorithm and N functions the number of functions evaluated

Tables Icon

Table 4. Design specifications and optical performance of the the IOL designs obtained by different procedures. Ra and Rp denote the anterior and posterior radii of curvature of the IOL. Qa and Qp denote the anterior and posterior asphericities of the IOL. W20, W40 and Me denote the equivalent defocus (D) due to the defocus term, spherical aberration and the combination of both for several IOL designs.

Tables Icon

Table 5. Tolerance limits of the pseudoaphakic eye model of Table 2 for the design parameters: anterior and posterior radii and asphericities, thickness and refractive index.

Tables Icon

Table 6. Comparison of optical performance of the custom design and the Tecnis IOL design in the more realistic pseudoaphakic eye model of Table 2. The different metrics were computed through a ray tracing analysis using Zemax (Zemax, Optima Research, 2006 Tucson). Mes: Me contribution of symmetric terms. Mea: Me contribution of asymmetric terms

Equations (4)

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

M t = R 1 * T 1 * R 2 * T 2 * R 3 * T 3 * R 4 * T 4 * R 5 * T 5 * R 6 * T 6 ,
W 20 = f ( R i , ti , λ ) ,
W 40 = g ( P , R i , Q i , ti , λ ) ,
Mew = Me ( 420.7 ) + 0.5 * ( Me ( 530.3 ) + Me ( 558.9 ) )

Metrics