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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Stephen A. Burns
  • Vol. 24, Iss. 8 — Aug. 1, 2007
  • pp: 2175–2185

Adaptive model of the gradient index of the human lens. I. Formulation and model of aging ex vivo lenses

Rafael Navarro, Fernando Palos, and Luis González  »View Author Affiliations

JOSA A, Vol. 24, Issue 8, pp. 2175-2185 (2007)

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A simple, parametric adaptive model of the refractive index distribution of the ex vivo crystalline lens is presented. It assumes conicoid (or nonrevolution quadric in 3D) iso-indical surfaces, concentric with the external surfaces of the lens. The model uses a minimum number of internal structural parameters, while the shape of the iso-indical surfaces adapts automatically to the external geometry. In this way, it is able to adapt and fit individual distributions as well as adapt to the changes of the lens shape and structure with age and accommodation. The model is fit to experimental data for individual eyes spanning ages 7 to 82 years, where for each eye the crystalline lens dimensions and iso-indical index data are known. The analysis demonstrates that only one age-dependent structural parameter is needed to replicate the internal iso-indical index structure, given age-dependent models for the external surfaces. An age-dependent-parameter global model is derived and is shown to predict age-dependent changes in the ex vivo lens power and longitudinal spherical aberration with age.

© 2007 Optical Society of America

OCIS Codes
(080.2710) Geometric optics : Inhomogeneous optical media
(330.5370) Vision, color, and visual optics : Physiological optics

ToC Category:
Vision, Color, and Visual Optics

Original Manuscript: September 13, 2006
Revised Manuscript: March 7, 2007
Manuscript Accepted: March 8, 2007
Published: July 11, 2007

Virtual Issues
Vol. 2, Iss. 9 Virtual Journal for Biomedical Optics

Rafael Navarro, Fernando Palos, and Luis González, "Adaptive model of the gradient index of the human lens. I. Formulation and model of aging ex vivo lenses," J. Opt. Soc. Am. A 24, 2175-2185 (2007)

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