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Three-dimensional ray tracing in spherical and elliptical generalized Luneburg lenses for application in the human eye lens

2016; Optica Publishing Group; Volume: 55; Issue: 8 Linguagem: Inglês

10.1364/ao.55.002002

0003-6935

J. E. Gómez-Correa, Víctor Coello, Anel Garza-Rivera, N. P. Puente, S. Chávez-Cerda,

Liquid Crystal Research Advancements

Ray tracing in spherical Luneburg lenses has always been represented in 2D. All propagation planes in a 3D spherical Luneburg lens generate the same ray tracing, due to its radial symmetry. A geometry without radial symmetry generates a different ray tracing. For this reason, a new ray tracing method in 3D through spherical and elliptical Luneburg lenses using 2D methods is proposed. The physics of the propagation is shown here, which allows us to make a ray tracing associated with a vortex beam. A 3D ray tracing in a composite modified Luneburg lens that represents the human eye lens is also presented.