title: Third-order aberrations in GRIN crystalline lens: a new method based on axial and field rays.
abstract: This paper presents a new procedure for calculating the third-order aberration of gradient-index (GRIN) lenses that combines an iterative numerical method with the Hamiltonian theory of aberrations in terms of two paraxial rays with boundary conditions on general curved end surfaces and, as a second algebraic step has been presented. Application of this new method to a GRIN human is analyzed in the framework of the bi-elliptical model. The different third-order aberrations are determined, except those that need for their calculation skew rays, because the study is made only for meridional rays.
authors.affiliation: Grupo de Microoptica y Óptica GRIN, Departamento de Física Aplicada (área de Óptica), Facultade de Óptica e Optometría (Campus Vida), 15782 Santiago de Compostela, Spain.
authors.forename: Arturo Díaz Del
authors.initials: AD
authors.lastname: Río
authors.affiliation: Grupo de Microoptica y Óptica GRIN, Departamento de Física Aplicada (área de Óptica), Facultade de Óptica e Optometría (Campus Vida), 15782 Santiago de Compostela, Spain.
authors.forename: Carlos
authors.initials: C
authors.lastname: Gómez-Reino
authors.affiliation: Grupo de Microoptica y Óptica GRIN, Departamento de Física Aplicada (área de Óptica), Facultade de Óptica e Optometría (Campus Vida), 15782 Santiago de Compostela, Spain. Electronic address: maite.flores@usc.es.
authors.forename: M Teresa
authors.initials: MT
authors.lastname: Flores-Arias
mesh_terms: D006801:Humans; D007908:Lens, Crystalline / Q000503:physiopathology*; D008027:Light; D008954:Models, Biological; D008962:Models, Theoretical; D012029:Refraction, Ocular / Q000502:physiology*; D012030:Refractive Errors / Q000503:physiopathology*; D012031:Refractometry / Q000379:methods
keywords: Aberraciones de tercer orden; Axial and field rays; Cristalino; Crystalline; Human eye; Ojo humano; Rayos axiales y de campo; Third-order aberrations