Aspherical lens design and imaging

TL;DR

This paper explores the design of freeform lenses and mirror systems to control light refraction and reflection, enabling targeted imaging and object projection in near and far fields.

Contribution

It introduces new methods for designing lenses and mirror systems that achieve specific imaging and refraction goals in both near and far field scenarios.

Findings

Existence of freeform lenses for prescribed refraction

Conditions for mirror systems to solve near and far field problems

Theoretical framework for lens and mirror design

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.