Aspherical lens design and imaging

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jan 2015Embargo end date: 01 Jul 2015Publisher:OSAJournal:Imaging and Applied Optics 2015Funded by:NSF | Monge-Ampere-type equatio...

Authors: Cristian E. Gutiérrez; Ahmad Sabra;

doi: 10.1364/freeform.2015.fth3b.2 , 10.1137/15m1030807 , 10.48550/arxiv.1507.08237

arXiv: 1507.08237

Aspherical lens design and imaging

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Abstract

We design freeform lenses refracting an arbitrarily given incident field into a given fixed direction. In the near field case, we study the existence of lenses refracting a given bright object into a predefined image. We also analyze the existence of systems of mirrors that solve the near field and the far field problems for reflection.

22 pages, 3 figures. The results in this paper were announced in the OSA Freeform Optics Meeting, Arlington, VA, June 2015. This version contains corrections and a comment on self-intersections. Article to appear in SIAM Journal on Imaging Sciences

Related Organizations

Temple University
United States

Keywords

geometric optics, Inverse problems for PDEs, 35F50, 35Q60, 78A05, 78A46, inverse problems, FOS: Physical sciences, Mathematical Physics (math-ph), Mathematics - Analysis of PDEs, partial differential equations, FOS: Mathematics, Inverse problems (including inverse scattering) in optics and electromagnetic theory, lens design, PDEs in connection with optics and electromagnetic theory, Geometric optics, Mathematical Physics, Systems of nonlinear first-order PDEs, Physics - Optics, Analysis of PDEs (math.AP), Optics (physics.optics)

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