Aspherical lens design and imaging

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