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: | 1-三月-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: | |
顯示於類別: | 期刊論文 |