Aspherical lens design and imaging
Analysis of PDEs
2016-03-07 v2 Mathematical Physics
math.MP
Optics
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.
Cite
@article{arxiv.1507.08237,
title = {Aspherical lens design and imaging},
author = {Cristian E. Gutierrez and Ahmad Sabra},
journal= {arXiv preprint arXiv:1507.08237},
year = {2016}
}
Comments
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