title: Three-dimensional ray tracing in spherical and elliptical generalized Luneburg lenses for application in the human eye lens.
abstract: 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.
authors.forename: J E
authors.initials: JE
authors.lastname: Gómez-Correa
authors.forename: V
authors.initials: V
authors.lastname: Coello
authors.forename: A
authors.initials: A
authors.lastname: Garza-Rivera
authors.forename: N P
authors.initials: NP
authors.lastname: Puente
authors.forename: S
authors.initials: S
authors.lastname: Chávez-Cerda
mesh_terms: D006801:Humans; D021621:Imaging, Three-Dimensional / Q000379:methods*; D007908:Lens, Crystalline / Q000033:anatomy & histology*; D007909:Lenses; D012031:Refractometry