Abstract

We consider a method for designing freeform mirrors generating prescribed irradiance distributions in the far field. The method is based on the formulation of the problem of calculating a ray mapping as a Monge–Kantorovich mass transportation problem and on the reduction of the latter problem to a linear assignment problem. As examples, we design freeform mirrors generating a uniform irradiance distribution in a rectangular region and a complex chessboard-shaped distribution. The mirror generating a rectangular irradiance distribution is fabricated and experimentally investigated. The experimental results are in good agreement with the numerical simulations and confirm the manufacturability of the mirrors designed using the considered method.

© 2020 Optical Society of America

Optimal mass transportation problem in the design of freeform optical elements generating far-field irradiance distributions for plane incident beam

Dmitry A. Bykov, Leonid L. Doskolovich, Albert A. Mingazov, and Evgeni A. Bezus
Appl. Opt. 58(33) 9131-9140 (2019)

Linear assignment problem in the design of freeform refractive optical elements generating prescribed irradiance distributions

Dmitry A. Bykov, Leonid L. Doskolovich, Albert A. Mingazov, Evgeni A. Bezus, and Nikolay L. Kazanskiy
Opt. Express 26(21) 27812-27825 (2018)

Optimal mass transportation and linear assignment problems in the design of freeform refractive optical elements generating far-field irradiance distributions

Leonid L. Doskolovich, Dmitry A. Bykov, Albert A. Mingazov, and Evgeni A. Bezus
Opt. Express 27(9) 13083-13097 (2019)

Prescribed irradiance distributions with freeform gradient-index optics

David H. Lippman and Greg R. Schmidt
Opt. Express 28(20) 29132-29147 (2020)

Multiscale approach and linear assignment problem in designing mirrors generating far-field irradiance distributions

Dmitry A. Bykov, Leonid L. Doskolovich, and Evgeni A. Bezus
Opt. Lett. 45(13) 3549-3552 (2020)