Modified Poisson-Gauss Single-Function to Describe the GRIN of the Human Lens

Abstract

The human lens plays a crucial role in the vision process, since it is responsible for the accommodation mechanism and for the reduction of optical aberrations. Its modeling is important for the comprehension of the relationship between its physiological and optical properties, and ultimately for ophthalmic purposes. In this work we propose a modified version of the Poisson-Gauss function to construct a lens model that permits the fine-tuning of optical properties of the corresponding schematic eye. Particularly, we analyze how the refractive power of a schematic eye varies as the modification of the Poisson-Gauss function is induced. This can be useful in the modeling of personalized eyes with ophthalmic relevance.