標題: New approach to construct freeform surface by numerically differential formulation
作者: Tsai, Yu-Lin
Chiang, Ming-Chen
Chang, Ray
Tien, Chung-Hao
Wu, Chin-Tien
應用數學系
光電工程學系
Department of Applied Mathematics
Department of Photonics
關鍵字: freeform design;uniform illumination;nonimaging optics
公開日期: 1-Mar-2014
摘要: We proposed a new design method for single freeform reflective (or refractive) surface tailored to redistribute the radiant flux onto a prescribed illumination pattern. Unlike the conventional optimization approaches based on the grid mapping, in this study we estimated each segmental freeform surface by locally solving a second-order differential equation, which formulates the energy transportation between each domain cell. With finite element method via Hermite element, we validated a series of smooth reflective/refractive surfaces to reallocate the radiant flux from a point source toward a target plane with specific patterns. The proposed technique offers a large flexibility by varying the vectors of each ray with multiple refraction (or reflection), which imposes no restriction on the target distribution, collective solid angle, or even target topography. (C) The Authors. Published by SPIE under a Creative Commons Attribution 3.0 Unported License. Distribution or reproduction of this work in whole or in part requires full attribution of the original publication, including its DOI.
URI: http://dx.doi.org/10.1117/1.OE.53.3.031307
http://hdl.handle.net/11536/23574
ISSN: 0091-3286
DOI: 10.1117/1.OE.53.3.031307
期刊: OPTICAL ENGINEERING
Volume: 53
Issue: 3
結束頁: 
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