A. A. Mingazov, L. L. Doskolovich, D. A. Bykov, N. L. Kazanskiy, “The two reflector design problem for forming a flat wavefront from a point source as an optimal mass transfer problem”, Computer Optics, 2019, Volume 43, Issue 6,Pages <nobr>968

This article is cited in 5 papers

OPTO-IT

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

A. A. Mingazov^a, L. L. Doskolovich^ab, D. A. Bykov^ba, N. L. Kazanskiy^ba

^a IPSI RAS – Branch of the FSRC "Crystallography and Photonics" RAS, 443001, Russia, Samara, Molodogvardeyskaya 151
^b Samara National Research University, 443086, Russia, Samara, Moskovskoye Shosse 34

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.

Received: 20.05.2019
Accepted: 14.08.2019

DOI: 10.18287/2412-6179-2019-43-6-968-975