The Parallel Refractor
Given two homogenous and isotropic media I and II with different refractive indices n I and n II , respectively, we have a source Ω surrounded by media I and a target screen Σ surrounded by media II. We prove existence of interface surfaces between the media that refract collimated radiation emanating from Ω into Σ with prescribed input and output intensities.
Key wordsGeometric optics Optimization Refraction
The first author was partially supported by NSF grant DMS–0901430. The second author was supported by CONICET, Argentina.