title: Analytic design method for optimal imaging: coupling three ray sets using two free-form lens profiles.
abstract: In this work, a new two-dimensional optics design method is proposed that enables the coupling of three ray sets with two lens surfaces. The method is especially important for optical systems designed for wide field of view and with clearly separated optical surfaces. Fermat's principle is used to deduce a set of functional differential equations fully describing the entire optical system. The presented general analytic solution makes it possible to calculate the lens profiles. Ray tracing results for calculated 15th order Taylor polynomials describing the lens profiles demonstrate excellent imaging performance and the versatility of this new analytic design method.
authors.affiliation: Brussels Photonics Team, Vrije Universiteit Brussel, Pleinlaan 2, B-1050 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: D000465:Algorithms; D003198:Computer Simulation; D017076:Computer-Aided Design; D004867:Equipment Design; D019544:Equipment Failure Analysis; D007089:Image Enhancement / Q000295:instrumentation* / Q000379:methods*; D007090:Image Interpretation, Computer-Assisted / Q000379:methods*; D007909:Lenses; D008027:Light; D008962:Models, Theoretical; D012542:Scattering, Radiation