Abstract

A widespread type of multifocal intraocular lens (MIOL) is based on expanding the depth of focus with specific amounts of spherical aberration. However, knowing the optimal wavefront aberration for multifocality does not directly provide a MIOL geometry. To overcome this issue, we present a new strategy to design MIOLs. The method optimizes directly the IOL surface geometries (aspheres with aspherical coefficients up to tenth order) using a multisurface pseudophakic eye model and a multiconfiguration approach, where the merit function jointly considers the optical quality at different object plane locations. An example of MIOL [22 diopters (D) far distance correction] was designed. For this design, the ocular modulator transfer function (MTF) at 50 cycles per millimeter remained above 0.47 for all object locations. The design provides high optical quality performance for far and intermediate distances and peak optical performance at near distances (MTF>0.57). Additionally, the design shows good performance against pupil changes (3–5 mm pupil diameter range). Finally, when the MIOL was tested on pseudophakic eye models with corneal spherical aberrations within a typical population range, the high multifocal performance was maintained in almost 40% of potential patients (ignoring asymmetric aberrations effects).

© 2013 Optical Society of America

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  1. P. de Gracia, C. Dorronsoro, A. Sanchez-Gonzalez, L. Sawides, and S. Marcos, Investig. Ophthalmol. Vis. Sci. 54, 415 (2013).
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    [CrossRef]
  3. P. de Gracia, C. Dorronsoro, and S. Marcos, Opt. Lett. 38, 3526 (2013).
    [CrossRef]
  4. G. M. Dai, Appl. Opt. 45, 4184 (2006).
    [CrossRef]
  5. J. Ares, R. Flores, S. Bará, and Z. Jaroszewicz, Optom. Vis. Sci. 82, 1071 (2005).
    [CrossRef]
  6. P. de Gracia, C. Dorronsoro, G. Marin, M. Hernández, and S. Marcos, J. Vis. 11(2), 1 (2011).
  7. S. Marcos, S. Barbero, and I. Jimenez-Alfaro, J. Refract. Surg. 21, 223 (2005).
  8. X. Hong and X. Zhang, Opt. Express 16, 20920 (2008).
    [CrossRef]
  9. D. Fernández, S. Barbero, C. Dorronsoro, and S. Marcos, “Multifocal intraocular lens providing improved visual quality,” Spanish patent applicationP201232043 (December27, 2012).
  10. S. Barbero, S. Marcos, J. Montejo, and C. Dorronsoro, Opt. Express 19, 6215 (2011).
    [CrossRef]
  11. S. Barbero and S. Marcos, Opt. Express 15, 8576 (2007).
    [CrossRef]
  12. S. Barbero and J. Rubinstein, J. Opt. 13, 125705 (2011).
    [CrossRef]
  13. L. Llorente, S. Barbero, D. Cano, C. Dorronsoro, and S. Marcos, J. Vis. 4(4), 288 (2004).
    [CrossRef]
  14. A. Guirao, M. Redondo, and P. Artal, J. Opt. Soc. Am. A 17, 1697 (2000).
    [CrossRef]
  15. D. Gatinel and Y. Houbrechts, J. Cataract Refract. Surg. 39, 1093 (2013).
    [CrossRef]
  16. P. Rosales and S. Marcos, Opt. Express 15, 2204 (2007).
    [CrossRef]
  17. H. Guo, A. V. Goncharov, and C. Dainty, Biomed. Opt. Express 3, 681 (2012).
    [CrossRef]

2013 (3)

P. de Gracia, C. Dorronsoro, A. Sanchez-Gonzalez, L. Sawides, and S. Marcos, Investig. Ophthalmol. Vis. Sci. 54, 415 (2013).
[CrossRef]

D. Gatinel and Y. Houbrechts, J. Cataract Refract. Surg. 39, 1093 (2013).
[CrossRef]

P. de Gracia, C. Dorronsoro, and S. Marcos, Opt. Lett. 38, 3526 (2013).
[CrossRef]

2012 (1)

2011 (4)

S. Barbero, S. Marcos, J. Montejo, and C. Dorronsoro, Opt. Express 19, 6215 (2011).
[CrossRef]

P. de Gracia, C. Dorronsoro, G. Marin, M. Hernández, and S. Marcos, J. Vis. 11(2), 1 (2011).

D. Gatinel, C. Pagnoulle, Y. Houbrechts, and L. Gobin, J. Cataract Refract. Surg. 37, 2060 (2011).
[CrossRef]

S. Barbero and J. Rubinstein, J. Opt. 13, 125705 (2011).
[CrossRef]

2008 (1)

2007 (2)

2006 (1)

2005 (2)

J. Ares, R. Flores, S. Bará, and Z. Jaroszewicz, Optom. Vis. Sci. 82, 1071 (2005).
[CrossRef]

S. Marcos, S. Barbero, and I. Jimenez-Alfaro, J. Refract. Surg. 21, 223 (2005).

2004 (1)

L. Llorente, S. Barbero, D. Cano, C. Dorronsoro, and S. Marcos, J. Vis. 4(4), 288 (2004).
[CrossRef]

2000 (1)

Ares, J.

J. Ares, R. Flores, S. Bará, and Z. Jaroszewicz, Optom. Vis. Sci. 82, 1071 (2005).
[CrossRef]

Artal, P.

Bará, S.

J. Ares, R. Flores, S. Bará, and Z. Jaroszewicz, Optom. Vis. Sci. 82, 1071 (2005).
[CrossRef]

Barbero, S.

S. Barbero, S. Marcos, J. Montejo, and C. Dorronsoro, Opt. Express 19, 6215 (2011).
[CrossRef]

S. Barbero and J. Rubinstein, J. Opt. 13, 125705 (2011).
[CrossRef]

S. Barbero and S. Marcos, Opt. Express 15, 8576 (2007).
[CrossRef]

S. Marcos, S. Barbero, and I. Jimenez-Alfaro, J. Refract. Surg. 21, 223 (2005).

L. Llorente, S. Barbero, D. Cano, C. Dorronsoro, and S. Marcos, J. Vis. 4(4), 288 (2004).
[CrossRef]

D. Fernández, S. Barbero, C. Dorronsoro, and S. Marcos, “Multifocal intraocular lens providing improved visual quality,” Spanish patent applicationP201232043 (December27, 2012).

Cano, D.

L. Llorente, S. Barbero, D. Cano, C. Dorronsoro, and S. Marcos, J. Vis. 4(4), 288 (2004).
[CrossRef]

Dai, G. M.

Dainty, C.

de Gracia, P.

P. de Gracia, C. Dorronsoro, and S. Marcos, Opt. Lett. 38, 3526 (2013).
[CrossRef]

P. de Gracia, C. Dorronsoro, A. Sanchez-Gonzalez, L. Sawides, and S. Marcos, Investig. Ophthalmol. Vis. Sci. 54, 415 (2013).
[CrossRef]

P. de Gracia, C. Dorronsoro, G. Marin, M. Hernández, and S. Marcos, J. Vis. 11(2), 1 (2011).

Dorronsoro, C.

P. de Gracia, C. Dorronsoro, A. Sanchez-Gonzalez, L. Sawides, and S. Marcos, Investig. Ophthalmol. Vis. Sci. 54, 415 (2013).
[CrossRef]

P. de Gracia, C. Dorronsoro, and S. Marcos, Opt. Lett. 38, 3526 (2013).
[CrossRef]

P. de Gracia, C. Dorronsoro, G. Marin, M. Hernández, and S. Marcos, J. Vis. 11(2), 1 (2011).

S. Barbero, S. Marcos, J. Montejo, and C. Dorronsoro, Opt. Express 19, 6215 (2011).
[CrossRef]

L. Llorente, S. Barbero, D. Cano, C. Dorronsoro, and S. Marcos, J. Vis. 4(4), 288 (2004).
[CrossRef]

D. Fernández, S. Barbero, C. Dorronsoro, and S. Marcos, “Multifocal intraocular lens providing improved visual quality,” Spanish patent applicationP201232043 (December27, 2012).

Fernández, D.

D. Fernández, S. Barbero, C. Dorronsoro, and S. Marcos, “Multifocal intraocular lens providing improved visual quality,” Spanish patent applicationP201232043 (December27, 2012).

Flores, R.

J. Ares, R. Flores, S. Bará, and Z. Jaroszewicz, Optom. Vis. Sci. 82, 1071 (2005).
[CrossRef]

Gatinel, D.

D. Gatinel and Y. Houbrechts, J. Cataract Refract. Surg. 39, 1093 (2013).
[CrossRef]

D. Gatinel, C. Pagnoulle, Y. Houbrechts, and L. Gobin, J. Cataract Refract. Surg. 37, 2060 (2011).
[CrossRef]

Gobin, L.

D. Gatinel, C. Pagnoulle, Y. Houbrechts, and L. Gobin, J. Cataract Refract. Surg. 37, 2060 (2011).
[CrossRef]

Goncharov, A. V.

Guirao, A.

Guo, H.

Hernández, M.

P. de Gracia, C. Dorronsoro, G. Marin, M. Hernández, and S. Marcos, J. Vis. 11(2), 1 (2011).

Hong, X.

Houbrechts, Y.

D. Gatinel and Y. Houbrechts, J. Cataract Refract. Surg. 39, 1093 (2013).
[CrossRef]

D. Gatinel, C. Pagnoulle, Y. Houbrechts, and L. Gobin, J. Cataract Refract. Surg. 37, 2060 (2011).
[CrossRef]

Jaroszewicz, Z.

J. Ares, R. Flores, S. Bará, and Z. Jaroszewicz, Optom. Vis. Sci. 82, 1071 (2005).
[CrossRef]

Jimenez-Alfaro, I.

S. Marcos, S. Barbero, and I. Jimenez-Alfaro, J. Refract. Surg. 21, 223 (2005).

Llorente, L.

L. Llorente, S. Barbero, D. Cano, C. Dorronsoro, and S. Marcos, J. Vis. 4(4), 288 (2004).
[CrossRef]

Marcos, S.

P. de Gracia, C. Dorronsoro, and S. Marcos, Opt. Lett. 38, 3526 (2013).
[CrossRef]

P. de Gracia, C. Dorronsoro, A. Sanchez-Gonzalez, L. Sawides, and S. Marcos, Investig. Ophthalmol. Vis. Sci. 54, 415 (2013).
[CrossRef]

P. de Gracia, C. Dorronsoro, G. Marin, M. Hernández, and S. Marcos, J. Vis. 11(2), 1 (2011).

S. Barbero, S. Marcos, J. Montejo, and C. Dorronsoro, Opt. Express 19, 6215 (2011).
[CrossRef]

S. Barbero and S. Marcos, Opt. Express 15, 8576 (2007).
[CrossRef]

P. Rosales and S. Marcos, Opt. Express 15, 2204 (2007).
[CrossRef]

S. Marcos, S. Barbero, and I. Jimenez-Alfaro, J. Refract. Surg. 21, 223 (2005).

L. Llorente, S. Barbero, D. Cano, C. Dorronsoro, and S. Marcos, J. Vis. 4(4), 288 (2004).
[CrossRef]

D. Fernández, S. Barbero, C. Dorronsoro, and S. Marcos, “Multifocal intraocular lens providing improved visual quality,” Spanish patent applicationP201232043 (December27, 2012).

Marin, G.

P. de Gracia, C. Dorronsoro, G. Marin, M. Hernández, and S. Marcos, J. Vis. 11(2), 1 (2011).

Montejo, J.

Pagnoulle, C.

D. Gatinel, C. Pagnoulle, Y. Houbrechts, and L. Gobin, J. Cataract Refract. Surg. 37, 2060 (2011).
[CrossRef]

Redondo, M.

Rosales, P.

Rubinstein, J.

S. Barbero and J. Rubinstein, J. Opt. 13, 125705 (2011).
[CrossRef]

Sanchez-Gonzalez, A.

P. de Gracia, C. Dorronsoro, A. Sanchez-Gonzalez, L. Sawides, and S. Marcos, Investig. Ophthalmol. Vis. Sci. 54, 415 (2013).
[CrossRef]

Sawides, L.

P. de Gracia, C. Dorronsoro, A. Sanchez-Gonzalez, L. Sawides, and S. Marcos, Investig. Ophthalmol. Vis. Sci. 54, 415 (2013).
[CrossRef]

Zhang, X.

Appl. Opt. (1)

Biomed. Opt. Express (1)

Investig. Ophthalmol. Vis. Sci. (1)

P. de Gracia, C. Dorronsoro, A. Sanchez-Gonzalez, L. Sawides, and S. Marcos, Investig. Ophthalmol. Vis. Sci. 54, 415 (2013).
[CrossRef]

J. Cataract Refract. Surg. (2)

D. Gatinel, C. Pagnoulle, Y. Houbrechts, and L. Gobin, J. Cataract Refract. Surg. 37, 2060 (2011).
[CrossRef]

D. Gatinel and Y. Houbrechts, J. Cataract Refract. Surg. 39, 1093 (2013).
[CrossRef]

J. Opt. (1)

S. Barbero and J. Rubinstein, J. Opt. 13, 125705 (2011).
[CrossRef]

J. Opt. Soc. Am. A (1)

J. Refract. Surg. (1)

S. Marcos, S. Barbero, and I. Jimenez-Alfaro, J. Refract. Surg. 21, 223 (2005).

J. Vis. (2)

L. Llorente, S. Barbero, D. Cano, C. Dorronsoro, and S. Marcos, J. Vis. 4(4), 288 (2004).
[CrossRef]

P. de Gracia, C. Dorronsoro, G. Marin, M. Hernández, and S. Marcos, J. Vis. 11(2), 1 (2011).

Opt. Express (4)

Opt. Lett. (1)

Optom. Vis. Sci. (1)

J. Ares, R. Flores, S. Bará, and Z. Jaroszewicz, Optom. Vis. Sci. 82, 1071 (2005).
[CrossRef]

Other (1)

D. Fernández, S. Barbero, C. Dorronsoro, and S. Marcos, “Multifocal intraocular lens providing improved visual quality,” Spanish patent applicationP201232043 (December27, 2012).

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Figures (5)

Fig. 1.
Fig. 1.

(a) Cross-section profile of a designed MIOL (22 D). Solid line: optical zone. Dashed line: peripheral area beyond the optical zone. Anterior lens surface vertex located at (0, 0) mm position. (b) Local power profile calculated in eye with the pseudophakic-design eye model and therefore considering the optical coupling between the MIOL and the eye.

Fig. 2.
Fig. 2.

Predicted MTF at 50c/mm of the pseudophakic-design eye model implanted with the new MIOL (22 D) as a function of (a) object location (OL) and (b) pupil diameter (PD).

Fig. 3.
Fig. 3.

MTF of the pseudophakic-design eye model implanted with the new MIOL (22 D).

Fig. 4.
Fig. 4.

Predicted MTF at 50c/mm (5 mm pupil diameter) in four different pseudophakic eye models with different corneal geometries but the same corneal spherical aberration (Z40=0.16μm, 5 mm pupil diameter) implanted with the new MIOL (22 D), as a function of the object location.

Fig. 5.
Fig. 5.

Predicted MTF at 50c/mm of seven pseudophakic eye models with different amounts of corneal spherical aberration (Z40 in μm and 5 mm pupil diameter) implanted with the new MIOL (22 D), as a function of object location. Black circles represent the designed eye model.

Equations (1)

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z=cr21+1(1k)c2r2+a1r4+a2r6+a3r8+a4r10.

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