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Obstructions in reflector designs

Banff International Research Station for Mathematical Innovation and Discovery

Optical surfaces suggested using the Minkowski optimization might face physical constraints and be impractical in industrial design. We discuss the limitation of ray obstruction. Suggested reflective models in the mathematical literature might obstruct the rays before reaching the target. This phenomena is more common in the reflective designs since the incident and reflective rays lie in the same medium. In this talk, we present different ways to overcome this limitation, and also construct a near field non concave reflector where all the rays reach a given target with prescribed energy conditions. Results presented in this talk are joint work with C.E. Gutiérrez.

Mathematics; Partial differential equations; Calculus of variations and optimal control; optimization

video/mp4

Author affiliation: University of Warsaw

2017-10-11

Attribution-NonCommercial-NoDerivatives 4.0 International

http://hdl.handle.net/2429/63241

Unreviewed

http://creativecommons.org/licenses/by-nc-nd/4.0/