Abstract

A model of the human eye is presented with the crystalline lens treated as having a gradient-index structure. By defining an accommodation index <i>I</i> ranging from 0 (unaccommodated) to 1 (accommodated), the optical parameters of the eye in various states of accommodation may be found. The results are in agreement with experimental values.

© 1980 Optical Society of America

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References

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  1. H. von Helmholtz, Treatise on Physiological Optics, 3rd ed., translated by J. P. C. Southall (Optical Society of America, New York, 1924).
  2. Clinical Ophthalmology, edited by T. D. Duane (Harper and Row, New York, 1978), Vol. I, Chap. 68.
  3. W. M. Rosenblum and J. L. Christensen, "Objective and subjective spherical aberration measurements in the human eye," in Progress in Optics XIII, edited by E. Wolf (North-Holland, Amsterdam, 1976), Chap. III.
  4. For an historical overview, see S. Duke-Elder and D. Abrams, System of Ophthalmology V (Mosby, St. Louis, 1970).
  5. D. T. Moore, "Design of singlets with continuously varying indices of refraction," J. Opt. Soc. Am. 61, 886–894 (1971).
  6. S. Stenstrom, "Investigation of the variation and correlation of the optical elements of the human eye. III," Am. J. Optom. Arch. Am. Acad. Optom. 25, 340–387 (1948).
  7. Reference 1, p. 340.
  8. E. F. Fincham, "The Mechanism of Accommodation," Br. J. Opthalmol., Monogr. 8, London (1937).
  9. N. Brown, "The change in shape and internal form of the lens of the eye on accommodation," Exp. Eye Res. 15, 441–459 (1973).
  10. B. Patnaik, "A photographic study of accommodative mechanisms: changes in the lens nucleus during accommodation," Invest. Ophthalmol. 6, 601–611 (1967).
  11. R. D. Binkhorst (private communication).

1973

N. Brown, "The change in shape and internal form of the lens of the eye on accommodation," Exp. Eye Res. 15, 441–459 (1973).

1971

1967

B. Patnaik, "A photographic study of accommodative mechanisms: changes in the lens nucleus during accommodation," Invest. Ophthalmol. 6, 601–611 (1967).

1948

S. Stenstrom, "Investigation of the variation and correlation of the optical elements of the human eye. III," Am. J. Optom. Arch. Am. Acad. Optom. 25, 340–387 (1948).

1937

E. F. Fincham, "The Mechanism of Accommodation," Br. J. Opthalmol., Monogr. 8, London (1937).

Abrams, D.

For an historical overview, see S. Duke-Elder and D. Abrams, System of Ophthalmology V (Mosby, St. Louis, 1970).

Binkhorst, R. D.

R. D. Binkhorst (private communication).

Brown, N.

N. Brown, "The change in shape and internal form of the lens of the eye on accommodation," Exp. Eye Res. 15, 441–459 (1973).

Christensen, J. L.

W. M. Rosenblum and J. L. Christensen, "Objective and subjective spherical aberration measurements in the human eye," in Progress in Optics XIII, edited by E. Wolf (North-Holland, Amsterdam, 1976), Chap. III.

Duke-Elder, S.

For an historical overview, see S. Duke-Elder and D. Abrams, System of Ophthalmology V (Mosby, St. Louis, 1970).

Fincham, E. F.

E. F. Fincham, "The Mechanism of Accommodation," Br. J. Opthalmol., Monogr. 8, London (1937).

Moore, D. T.

Patnaik, B.

B. Patnaik, "A photographic study of accommodative mechanisms: changes in the lens nucleus during accommodation," Invest. Ophthalmol. 6, 601–611 (1967).

Rosenblum, W. M.

W. M. Rosenblum and J. L. Christensen, "Objective and subjective spherical aberration measurements in the human eye," in Progress in Optics XIII, edited by E. Wolf (North-Holland, Amsterdam, 1976), Chap. III.

Stenstrom, S.

S. Stenstrom, "Investigation of the variation and correlation of the optical elements of the human eye. III," Am. J. Optom. Arch. Am. Acad. Optom. 25, 340–387 (1948).

vonHelmholtz, H.

H. von Helmholtz, Treatise on Physiological Optics, 3rd ed., translated by J. P. C. Southall (Optical Society of America, New York, 1924).

Am. J. Optom. Arch. Am. Acad. Optom.

S. Stenstrom, "Investigation of the variation and correlation of the optical elements of the human eye. III," Am. J. Optom. Arch. Am. Acad. Optom. 25, 340–387 (1948).

Exp. Eye Res.

N. Brown, "The change in shape and internal form of the lens of the eye on accommodation," Exp. Eye Res. 15, 441–459 (1973).

Invest. Ophthalmol.

B. Patnaik, "A photographic study of accommodative mechanisms: changes in the lens nucleus during accommodation," Invest. Ophthalmol. 6, 601–611 (1967).

J. Opt. Soc. Am.

Other

R. D. Binkhorst (private communication).

Reference 1, p. 340.

E. F. Fincham, "The Mechanism of Accommodation," Br. J. Opthalmol., Monogr. 8, London (1937).

H. von Helmholtz, Treatise on Physiological Optics, 3rd ed., translated by J. P. C. Southall (Optical Society of America, New York, 1924).

Clinical Ophthalmology, edited by T. D. Duane (Harper and Row, New York, 1978), Vol. I, Chap. 68.

W. M. Rosenblum and J. L. Christensen, "Objective and subjective spherical aberration measurements in the human eye," in Progress in Optics XIII, edited by E. Wolf (North-Holland, Amsterdam, 1976), Chap. III.

For an historical overview, see S. Duke-Elder and D. Abrams, System of Ophthalmology V (Mosby, St. Louis, 1970).

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