## Departmental Colloquium

Cristian E. Gutierrez

Temple University

The refractor problem and applications

**Abstract:**The refractor problem consists in designing a surface separating two homogeneous media with different refractive indices, that refracts radiation emanating from a point source or a set of sources into a target destination with a prescribed distribution of energy. The solution of this problem yields free form lenses refracting monochromatic radiation in a prescribed manner, and it has connections with the areas of optimal mass transport and Monge-Ampere type equations. In this lecture, I will present the background for the problem and describe some results showing the connections with these areas. I will also describe an algorithm to solve the problem numerically.

Friday October 13, 2017 at 3:00 PM in SEO 636