The two reflector design problem for forming a flat wavefront from a point source as an optimal mass transfer problem

Abstract

The article deals with a problem of calculating two reflecting surfaces that form a given irradiance distribution with a flat wavefront, provided that a point source of light is used. A notion of a weak solution for the said problem is formulated and the equivalence of this problem and the Monge–Kantorovich mass transfer is proven.

Keywords

• geometric optics
• optical design
• nonimaging optics
• inverse problem
• monge-kantorovich mass transfer problem
• optimal mass transportation