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DOI number:10.1109/ICDH57206.2022.00042

Affiliation of Author(s):Institute of Electrical and Electronics Engineers Inc.

Journal:Proceedings - 2022 9th International Conference on Digital Home, ICDH 2022

Abstract:Reflector with freeform pattern has been proved to be more challenging to design, which suffered from the inefficiency of solving nonlinear differential equations. In this paper, we propose a discrete computational algorithm for designing a reflective surface that can generate a prescribed irradiance distribution on a certain region of receiver plane for a given point light source. Fig. 1 shows an example of our results. The algorithm is based on the framework of the Monge-Kantorovich optimal mass transport theory. We use the geodesic polyhedron to discretize the spherical domain. The reflector is determined by a finite number of confocal paraboloids of revolution and is obtained via optimizing the Wassertein distance between light source and receiver plane. We incorporate two tricky strategies to accelerate the optimization process: the multi-level discretization and the cache of candidate paraboloids.

Co-author:Liu Bailve,Zhou Yuming,Gu Xianfeng

First Author:Su Kehua

Indexed by:Journal paper

Correspondence Author:Lei Na

Document Type:J

Page Number:224-232

Translation or Not:no

Date of Publication:2022-12-01

Included Journals:EI