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Optical Engineering • Open Access

New approach to construct freeform surface by numerically differential formulation
Author(s): Yu-Lin Tsai; Ming-Chen Chiang; Ray Chang; Chung-Hao Tien; Chin-Tien Wu

Paper Abstract

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.

Paper Details

Date Published: 31 December 2013
PDF: 6 pages
Opt. Eng. 53(3) 031307 doi: 10.1117/1.OE.53.3.031307
Published in: Optical Engineering Volume 53, Issue 3
Show Author Affiliations
Yu-Lin Tsai, National Chiao Tung Univ. (Taiwan)
Ming-Chen Chiang, National Chiao Tung Univ. (Taiwan)
Ray Chang, National Chiao Tung Univ. (Taiwan)
Chung-Hao Tien, National Chiao Tung Univ. (Taiwan)
Chin-Tien Wu, National Chiao Tung Univ. (Taiwan)

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