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Gradient-index human lens as a quadratic phase transformer
Authors:Maria Teresa Flores-Arias  Maria Victoria Perez  Carmen Bao  Antonio Castelo
Affiliation:GRIN Optics Group , Department of Applied Physics , Faculty of Physics and Optics and Optometry School , Campus Sur , University of Santiago de Compostela , E15782 Santiago de Compostela, Spain
Abstract:The correspondence between the linear integral transform and the ray-transfer matrix of a first-order optical system is used to evaluate the transmittance function of gradient-index (GRIN) human lens regarded as a quadratic phase transformer. The size of the GRIN crystalline lens has been considered for redefining the effective transmittance function by the pupil function. The role that the GRIN nature of the human lens plays in the retinal image quality using the point spread function (PSF) is commented on. The simulation results show that the effective radius of the output face of the lens decreases with increasing thickness and that it is higher for flat end surfaces than for curved end faces. On the other hand, the simulation results also show, for small pupil sizes, that the GRIN nature of the human lens is a retinal image degradation source producing the spread of the PSF and that the curved end surfaces of the lens constitute a retinal image quality improve factor contributing to the narrowing of the PSF.
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