Nondestructive Method of Constructing Three-Dimensional Gradient Index Models for Crystalline Lenses: I. Theory and Experiment

Abstract

A nondestructive method of constructing the three-dimensional refractive index profile of crystalline lenses is presented. The technique is based on earlier work in which the refractive index profile is deduced from measuring the refraction of a set of light rays that traverse the lens in a particular plane. However, the present approach requires fewer assumptions about the form of the refractive index profile so that the deduced results are less likely to reflect preconceived notions about the form of the refractive index distribution. An accurate model for the bovine crystalline lens has been constructed with the present approach. Without further adjustable parameters, our three-dimensional model of the lens refractive index profile is able to predict accurately the refraction of meridional rays that traverse the lens in the sagittal plane. Preliminary data on human lenses are also presented.