Abstract

We provide an adjustment factor for ablation algorithms used in photorefractive laser surgery that takes into account how laser polarization in reflection losses affects the cornea. We evaluate the influence of this factor on corneal radius and asphericity after surgery, showing that it is significant for visual performance (effective visual acuity is reduced) and for the correction of eye aberrations. Our data indicate that this adjustment factor should be included in the ablation algorithms (depending on the polarization state of each laser device) that are proposed for customized corneal ablation, which need great accuracy for minimization of eye aberrations.

© 2004 Optical Society of America

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References

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  1. S. M. MacRae, J. Schwiegerling, and R. Snyder, J. Refract. Surg. 16, S230 (2000).
    [PubMed]
  2. S. Marcos, D. Cano, and S. Barbero, J. Refract. Surg. 19, S592 (2003).
    [PubMed]
  3. J. R. Jiménez, R. G. Anera, J. A. Díaz, and F. Pérez-Ocón, J. Opt. Soc. Am. A 21, 98 (2004).
    [CrossRef]
  4. M. Mrochen and T. Seiler, J. Refract. Surg. 17, S584 (2001).
    [PubMed]
  5. J. R. Jiménez, R. G. Anera, L. Jiménez del Barco, and E. Hita, Appl. Phys. Lett. 81, 1521 (2002).
    [CrossRef]
  6. T. Oshika, S. D. Klyce, M. K. Smolek, and M. B. McDonal, J. Cataract Refract. Surg. 24, 1575 (1998).
    [CrossRef] [PubMed]
  7. M. Born and E. Wolf, Principles of Optics (Pergamon, New York, 1970) pp. 40–44, 183.
  8. R. G. Anera, J. R. Jiménez, L. Jiménez del Barco, and E. Hita, Opt. Lett. 28, 417 (2003).
    [CrossRef] [PubMed]
  9. D. A. Atchison and G. Smith, Optics of the Human Eye (Butterworth-Heinemann, Stoneham, Mass., 2000), pp. 11–20, 195–210.
    [CrossRef]
  10. H. S. Ginis, V. J. Katsanevaki, and I. G. Pallikaris, J. Refract. Surg. 19, 443 (2003).
    [PubMed]

2004 (1)

2003 (3)

S. Marcos, D. Cano, and S. Barbero, J. Refract. Surg. 19, S592 (2003).
[PubMed]

H. S. Ginis, V. J. Katsanevaki, and I. G. Pallikaris, J. Refract. Surg. 19, 443 (2003).
[PubMed]

R. G. Anera, J. R. Jiménez, L. Jiménez del Barco, and E. Hita, Opt. Lett. 28, 417 (2003).
[CrossRef] [PubMed]

2002 (1)

J. R. Jiménez, R. G. Anera, L. Jiménez del Barco, and E. Hita, Appl. Phys. Lett. 81, 1521 (2002).
[CrossRef]

2001 (1)

M. Mrochen and T. Seiler, J. Refract. Surg. 17, S584 (2001).
[PubMed]

2000 (1)

S. M. MacRae, J. Schwiegerling, and R. Snyder, J. Refract. Surg. 16, S230 (2000).
[PubMed]

1998 (1)

T. Oshika, S. D. Klyce, M. K. Smolek, and M. B. McDonal, J. Cataract Refract. Surg. 24, 1575 (1998).
[CrossRef] [PubMed]

Anera, R. G.

Atchison, D. A.

D. A. Atchison and G. Smith, Optics of the Human Eye (Butterworth-Heinemann, Stoneham, Mass., 2000), pp. 11–20, 195–210.
[CrossRef]

Barbero, S.

S. Marcos, D. Cano, and S. Barbero, J. Refract. Surg. 19, S592 (2003).
[PubMed]

Born, M.

M. Born and E. Wolf, Principles of Optics (Pergamon, New York, 1970) pp. 40–44, 183.

Cano, D.

S. Marcos, D. Cano, and S. Barbero, J. Refract. Surg. 19, S592 (2003).
[PubMed]

Díaz, J. A.

Ginis, H. S.

H. S. Ginis, V. J. Katsanevaki, and I. G. Pallikaris, J. Refract. Surg. 19, 443 (2003).
[PubMed]

Hita, E.

R. G. Anera, J. R. Jiménez, L. Jiménez del Barco, and E. Hita, Opt. Lett. 28, 417 (2003).
[CrossRef] [PubMed]

J. R. Jiménez, R. G. Anera, L. Jiménez del Barco, and E. Hita, Appl. Phys. Lett. 81, 1521 (2002).
[CrossRef]

Jiménez, J. R.

Jiménez del Barco, L.

R. G. Anera, J. R. Jiménez, L. Jiménez del Barco, and E. Hita, Opt. Lett. 28, 417 (2003).
[CrossRef] [PubMed]

J. R. Jiménez, R. G. Anera, L. Jiménez del Barco, and E. Hita, Appl. Phys. Lett. 81, 1521 (2002).
[CrossRef]

Katsanevaki, V. J.

H. S. Ginis, V. J. Katsanevaki, and I. G. Pallikaris, J. Refract. Surg. 19, 443 (2003).
[PubMed]

Klyce, S. D.

T. Oshika, S. D. Klyce, M. K. Smolek, and M. B. McDonal, J. Cataract Refract. Surg. 24, 1575 (1998).
[CrossRef] [PubMed]

MacRae, S. M.

S. M. MacRae, J. Schwiegerling, and R. Snyder, J. Refract. Surg. 16, S230 (2000).
[PubMed]

Marcos, S.

S. Marcos, D. Cano, and S. Barbero, J. Refract. Surg. 19, S592 (2003).
[PubMed]

McDonal, M. B.

T. Oshika, S. D. Klyce, M. K. Smolek, and M. B. McDonal, J. Cataract Refract. Surg. 24, 1575 (1998).
[CrossRef] [PubMed]

Mrochen, M.

M. Mrochen and T. Seiler, J. Refract. Surg. 17, S584 (2001).
[PubMed]

Oshika, T.

T. Oshika, S. D. Klyce, M. K. Smolek, and M. B. McDonal, J. Cataract Refract. Surg. 24, 1575 (1998).
[CrossRef] [PubMed]

Pallikaris, I. G.

H. S. Ginis, V. J. Katsanevaki, and I. G. Pallikaris, J. Refract. Surg. 19, 443 (2003).
[PubMed]

Pérez-Ocón, F.

Schwiegerling, J.

S. M. MacRae, J. Schwiegerling, and R. Snyder, J. Refract. Surg. 16, S230 (2000).
[PubMed]

Seiler, T.

M. Mrochen and T. Seiler, J. Refract. Surg. 17, S584 (2001).
[PubMed]

Smith, G.

D. A. Atchison and G. Smith, Optics of the Human Eye (Butterworth-Heinemann, Stoneham, Mass., 2000), pp. 11–20, 195–210.
[CrossRef]

Smolek, M. K.

T. Oshika, S. D. Klyce, M. K. Smolek, and M. B. McDonal, J. Cataract Refract. Surg. 24, 1575 (1998).
[CrossRef] [PubMed]

Snyder, R.

S. M. MacRae, J. Schwiegerling, and R. Snyder, J. Refract. Surg. 16, S230 (2000).
[PubMed]

Wolf, E.

M. Born and E. Wolf, Principles of Optics (Pergamon, New York, 1970) pp. 40–44, 183.

Appl. Phys. Lett. (1)

J. R. Jiménez, R. G. Anera, L. Jiménez del Barco, and E. Hita, Appl. Phys. Lett. 81, 1521 (2002).
[CrossRef]

J. Cataract Refract. Surg. (1)

T. Oshika, S. D. Klyce, M. K. Smolek, and M. B. McDonal, J. Cataract Refract. Surg. 24, 1575 (1998).
[CrossRef] [PubMed]

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

J. Refract. Surg. (4)

M. Mrochen and T. Seiler, J. Refract. Surg. 17, S584 (2001).
[PubMed]

H. S. Ginis, V. J. Katsanevaki, and I. G. Pallikaris, J. Refract. Surg. 19, 443 (2003).
[PubMed]

S. M. MacRae, J. Schwiegerling, and R. Snyder, J. Refract. Surg. 16, S230 (2000).
[PubMed]

S. Marcos, D. Cano, and S. Barbero, J. Refract. Surg. 19, S592 (2003).
[PubMed]

Opt. Lett. (1)

Other (2)

D. A. Atchison and G. Smith, Optics of the Human Eye (Butterworth-Heinemann, Stoneham, Mass., 2000), pp. 11–20, 195–210.
[CrossRef]

M. Born and E. Wolf, Principles of Optics (Pergamon, New York, 1970) pp. 40–44, 183.

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Figures (1)

Fig. 1
Fig. 1

Corneal-difference power [see Eq. (15a)] as a function of the number of diopters to correct for different values tested of g: 0.25, 0.5, and 1.0 (a=1.0, R=7.7 mm, and d=7 mm).

Equations (16)

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

dp=m lnF0/Fth,
R˜=1/21+g1.52 cos α-cos α1.52 cos α+cos α2+1-gcos α-1.52 cos αcos α+1.52 cos α2,
g=A12-A22A12+A22.
Fcorr=F0cos α1-R˜,
x2+y2+pz2-2Rz=0,
cos α=1-pz/Rpp-1z/R2+21-pz/R+11/2.
ρ=dpcorrdp=lnFcorr/FthlnF0/Fth=1+a lncos α1-R˜,
ρa,y,R,p,g1-0.0435a-ay2R20.50-0.059g+ay40.232-0.5p+g-0.017+0.059pR4.
zy=4Dy23-Dd23,
zy=ρa,y,R,p,g4Dy23-Dd23+Rp-R2-py21/2p.
zy=z0+Rp-R2-py21/2p.
fz0,R,p=0d/2zy-zy2dy.
/Rfz0,R,pzmin,pmin,Rmin=0, /pfz0,R,pzmin,pmin,Rmin=0, /z0fz0,R,pzmin,pmin,Rmin=0.
zmin=-d2D3+0.0145ad2D, 1Rmin=1R+8D3-0.116aD+ad2D3R21-0.117g, pmin=Rmin3R3p+aDRd2-0.62+1.333p+g-0.045+0.156p-1.333R21+0.62g.
Δ1/R=-0.117gad2D3R2,
Δp=aDR3R4d2g-0.045+0.156p-0.826gR2.

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