本論文提出一個光模組的設計應用在照明系統。光模組是由多個靜態式集光器所構成，我們用多個平面反射鏡將模組內的靜態集光器所收集陽光傳導到光模組出口。由於太陽的位置會隨著時間改變，造成在中午以外的時段平面反射鏡只能反射少量靜態集光器所收集的光到光模組出口，因此我們設計一個自由曲面反射鏡來改善此問題。根據最後的模擬結果顯示，自由曲面反射鏡的設計可以提高光模組在早上十一點、中午十二點和下午一點的傳輸效率，分別提高40.6%、38.9%和52.4%。

This paper presents a solar concentrator module which is used in the daylighting system. In the module, plane mirrors are used to reflect the collected sunlight to its destination. Due to the position of the sun changes over time, the plane mirror reflects only certain angles of the light, therefore, we design the free-form mirror to improve the daylighting system performance. The simulation results show the light transmission of the solar concentrator module which uses the free-form mirror design increase 40.6%、38.9% and 52.4% at 11:00 AM、12:00 PM and 1:00 PM, respectively.

[1] Steinberg, M., "Fossil fuel decarbonization technology for mitigating global warming." International Journal of Hydrogen Energy, Vol. 24, Issue 8, pp. 771-777 (1999).
[2] Athanasios, A. D., Biberacherb, M., Dominguezc, J., Fioresed G., Gadochab, S., Gnansounouf, E., Guarisod, G., Kartalidisa A., Panichellif, L., Pinedoc, I., and Robbag, M., "Methods and tools to evaluate the availability of renewable energy sources." Renewable and Sustainable Energy Reviews, Vol. 15, Issue 2, pp. 1182-1200 (2011).
[3] Price, H., Lupfert, E., Kearney D., Zara, E., Cohen, G., Gee R., and Mahoney R., "Advances in parabolic trough solar power technology."Journal of solar energy engineering, Vol. 124, Issue 2, pp. 109-125 (2002).
[4] Weber, W. H., and Lambe, J., "Luminescent greenhouse collector for solar radiation." Applied Optics, Vol. 15, Issue 10, pp. 2299-2300 (1976).
[5] Fraas, L. M., Pyle, W. R., and Ryason, P. R.. "Concentrated and piped sunlight for indoor illumination." Applied Optics, Vol. 22, Issue 4, pp. 578-582 (1983).
[6] Benton, C. C., "Daylighting can improve the quality of light and save energy." Architectural Lighting, 1, 46-48(1986).
[7] Duguay, M. A., and Edgar, R. M., "Lighting with sunlight using sun tracking concentrators." Applied Optics, Vol. 16, Issue 5, pp. 1444-1446 (1977).
[8] Whang, A. J. W., Chen, Y. Y., Yang, S. H., Pan, P. H., Chou, K. H., Lee, Y. C., Lee, Z. Y., Chen, C. A., and Che, C. N., "Natural light illumination system." Applied Optics, Vol. 49, Issue 35, pp. 6789-6801 (2010).
[9] Martin, K. L., " An overview of daylighting systems." Solar Energy, Vol. 73, No. 2, pp. 77-82 (2002)
[10] 陳偉安，「具光學結構設計之高效率傳光管」，碩士論文，國立台灣科技大學光電工程研究所，指導教授: 黃忠偉，台北 (2012).

[11] 何友瀚，「設計可用於多光源的自由曲面透鏡應用於自然光照明系統」，碩士論文，國立台灣科技大學光電工程研究所，指導教授: 黃忠偉，台北(2013).
[12] 大田登 著，陳鴻興、陳詩涵 編譯，色彩工程學理論與應用 第2版，全華科技圖書股份有限公司，台北，第17-24頁 (2007)。
[13] Winston, R., Juan C. M., and Pablo, B., Nonimaging optics. Academic Press, pp. 3-26 (2005).
[14] Ding, Y., Liu, X., Zheng, Z. R., and Gu, P. F., "Freeform LED lens for uniform illumination." ,Optics Express, Vol. 16, Issue 17, pp. 12958-12966 (2008).
[15] Luo, Y., Feng, Z., Han, Y., and Li, H., "Design of compact and smooth free-form optical system with uniform illuminance for LED source." ,Optics express, Vol. 18, Issue 9, pp. 9055-9063 (2010).
[16] Wang, L., Qian, K., and Luo, Y., " Discontinuous free-form lens design for prescribed irradiance" , Applied Optics, Vol. 46, No. 18, pp. 9055-9063 (2007).
[17] Zhao, F., "Practical reflector design and calculation for general illumination." ,Optics & Photonics, pp. 59420J-59420J (2005).