Designing double freeform surfaces for collimated beam shaping with optimal mass transportation and linear assignment problems
Abstract
We propose a method for designing refractive optical elements for collimated beam shaping. In this method, the problem of finding a ray mapping is formulated as a linear assignment problem, which is a discrete version of the corresponding mass transportation problem. A method for reconstructing optical surfaces from a computed discrete ray mapping is proposed. The method is suitable for designing continuous piecewise-smooth optical surfaces. The design of refractive optical elements transforming beams with circular cross-section to variously shaped (rectangular, triangular, and cross-shaped) beams with plane wavefront is discussed. The presented numerical simulation results confirm high efficiency of the designed optical elements.
Cite
@article{arxiv.1805.06712,
title = {Designing double freeform surfaces for collimated beam shaping with optimal mass transportation and linear assignment problems},
author = {Leonid L. Doskolovich and Dmitry A. Bykov and Evgeniy S. Andreev and Evgeni A. Bezus and Vladimir Oliker},
journal= {arXiv preprint arXiv:1805.06712},
year = {2018}
}
Comments
11 pages, 6 figures