title: Analytic free-form lens design in 3D: coupling three ray sets using two lens surfaces.
abstract: The two-dimensional analytic optics design method presented in a previous paper [Opt. Express 20, 5576-5585 (2012)] is extended in this work to the three-dimensional case, enabling the coupling of three ray sets with two free-form lens surfaces. Fermat's principle is used to deduce additional sets of functional differential equations which make it possible to calculate the lens surfaces. Ray tracing simulations demonstrate the excellent imaging performance of the resulting free-form lenses described by more than 100 coefficients.
authors.affiliation: Brussels Photonics Team, Vrije Universiteit Brussel, Brussels, Belgium. fduerr@b-phot.org
authors.forename: Fabian
authors.initials: F
authors.lastname: Duerr
authors.forename: Pablo
authors.initials: P
authors.lastname: Benítez
authors.forename: Juan C
authors.initials: JC
authors.lastname: Miñano
authors.forename: Youri
authors.initials: Y
authors.lastname: Meuret
authors.forename: Hugo
authors.initials: H
authors.lastname: Thienpont
mesh_terms: D003198:Computer Simulation; D004867:Equipment Design; D021621:Imaging, Three-Dimensional; D007909:Lenses; D015233:Models, Statistical; D008962:Models, Theoretical; D055095:Optics and Photonics; D011381:Programming Languages; D012984:Software; D013499:Surface Properties