Tuesday, December 5, 2023

Axel Turnquist
The University of Texas at Austin

Title: 

Computing Freeform Optics Problems via Optimal Transport PDE

Abstract: 

We introduce two freeform optics inverse problems. The first is known as the reflector antenna problem and it consists of finding the shape of a reflector that redistributes a source (directional) intensity distribution to a desired far-field target intensity distribution. The second is known as the lens refractor problem, where the goal is to find the shape of a lens, with a given refractive index (relative to ambient space), that redistributes a source (directional) intensity distribution to a desired far-field target intensity distribution. We will discuss their PDE formulations, their connections with Optimal Transport, the differences in the problems, and different approaches for how one can perform numerical computations for these problems.

https://wayne-edu.zoom.us/j/99210289207?pwd=NFMvazN4WnZxWEpOQXQ5MXFlYlhLUT09