Designing double freeform surfaces for collimated beam shaping with optimal mass transportation and linear assignment problems

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 opti...

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Bibliographic Details
Published in:arXiv.org 2018-05
Main Authors: Doskolovich, Leonid L, Bykov, Dmitry A, Andreev, Evgeniy S, Bezus, Evgeni A, Oliker, Vladimir
Format: Article
Language:English
Subjects:
Beams (radiation)
Collimation
Computer simulation
Mapping
Optical components
Transportation problem
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1805.06712