1. Supporting quadric method for collimated beams
- Author
-
Leonid L. Doskolovich, Dmitry A. Bykov, and Albert A. Mingazov
- Subjects
Physics ,geometric optics ,non-imaging optics ,Quadric ,business.industry ,monge-kantorovich mass transfer problem ,020207 software engineering ,02 engineering and technology ,01 natural sciences ,lcsh:Q350-390 ,Atomic and Molecular Physics, and Optics ,Collimated light ,Computer Science Applications ,010309 optics ,Optics ,0103 physical sciences ,0202 electrical engineering, electronic engineering, information engineering ,lcsh:Information theory ,inverse problem ,lcsh:QC350-467 ,Electrical and Electronic Engineering ,business ,lcsh:Optics. Light - Abstract
We consider the problem of calculating a refractive element with two surfaces, forming a flat front and a given distribution of illumination. The supporting quadrics method is formulated for calculating a given optical element and it is shown that this method coincides with the gradient method for some functional related to the problem of the Monge-Kantorovich mass transfer problem. This enables adaptive selection of the step in the supporting quadric method. At the end of the article a design example is given.
- Published
- 2021