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Gradient Index Profile Calculation using Cubic Splines

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Abstract

Accurately modelling the refractive index gradient of the crystalline lens is essential in understanding the optical properties of the vertebrates visual system. A method of indirectly measuring the refractive index profile in intact crystalline lenses was devised by Campbell1 (based on work2 measuring refractive index profiles in optical fibers) and subsequently used by others to measure refractive index distributions in rat3, rock bass4, bovine5 and humans6. The total deviation of a set of parallel laser beams incident on the lens parallel to the optical axis or the equator are measured. For a spherically symmetric lens the index of refraction, n(r), at a distance r from the center of the lens can be calculated from the deviation angles, ψ(y), using the following set of equations, here ρ is the lens radius and y the perpendicular distance between a ray and the optical axis.

© 1992 Optical Society of America

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