Elsevier

Vision Research

Volume 21, Issue 7, 1981, Pages 1129-1133, 1135-1148
Vision Research

An analytic, gradient index schematic lens and eye for the rat which predicts aberrations for finite pupils

https://doi.org/10.1016/0042-6989(81)90016-XGet rights and content

Abstract

Schematic eyes with a homogeneous equivalent lens are inadequate for non-paraxial optics and available versions have been invalidly fitted to non-paraxial properties.

A new model eye is here analytically derived from the refractive index profile of the crystalline lens and anatomical measurements of the rat eye. It predicts spherical abberration, coma, paraxial properties and the variation of refractive state with pupil size in accord with experimental measurements.

The cornea counteracts the spherical aberration and linear coma of the lens so that overall aberration is reduced and the eye is of good optical quality.The nodal point is invariant with object eccentricity in a manner advantageous to a species whose visual axis is displaced from the optic axis. The potential of the model lies in its extension to a study of such off-axis optics.

Reference (39)

  • VakkurG.J. et al.

    Visual optics in the cat, including posterior nodal distance and retinal landmarks

    Vision Res.

    (1963)
  • AbramowitzM. et al.

    Handbook of Mathematical Functions

    (1970)
  • BarerR. et al.

    Refractometry of living cells

    Q. J. Microscop. Sci.

    (1954)
  • BennettA.G. et al.

    Visual Optics and optical space sense

  • BornM. et al.

    Principles of optics

    (1975)
  • CampbellM.C. et al.

    An analytic solution of the optics of the rat eye

  • ConradyA.E.

    Applied Optics and Optical Design

    (1957)
  • El HageS. et al.

    Contribution of the crystalline lens to the spherical aberration of the eye

    J. opt. Soc. Am.

    (1973)
  • GlicksteinM. et al.

    Retinoscopy and eye size

    Science

    (1970)
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