本論文旨在研究應用照明環帶光通量之分析方法於二次光學元件設計，並以符合節能環保要求的LED光源為對象，根據LED光源與目標配光曲線之能量分布，建立其自由曲面運算模型及數學式，採用疊代運算法計算出各曲面之關鍵結構控制點，並運用具有蒙地卡羅光跡追蹤法之光學模擬軟體驗證元件效能，研究成果之典型設計流程可應用於各類照明光學設計需求，並作為往後設計開發LED光學元件之參考。
本研究主要針對LED全反射透鏡與應用於道路照明之透鏡進行分析與設計，其中全反射透鏡包含蝙蝠翼場型、橢圓場型與一種應用於C.O.B LED之新型結構窄角透鏡，所設計之透鏡均具備高效率與高均勻特性，並可精確控制光束角；道路照明應用則包含均勻照度與均勻輝度透鏡結構分析，正確地運用道路亮度反射係數，設計具有高性能之道路照明品質，給予駕駛人安全與舒適的用路環境。
為客觀探討各類燈具選用準則與照明品質關係，針對室內照明工程，研究中建立一套性能評估函數，採量化數據評比LED照明產品光學特性與傳統螢光燈管之性能差異，結果顯示LED燈具若能具備蝙蝠翼型配光曲線之光學設計，可於室內大面積照明場所提供較佳均勻度，並達到36.7 %節能成效，在500 lux的平均照度及照度均勻比79 %的要求下，用電密度僅4.05 W/m2，遠比市售LED照明燈具優異。

The dissertation studied on secondary optical design for optical applications, the LED lighting fixtures were chosen during the research, based on lighting zonal flux analysis method. The mathematical model of the freeform surface were formulated according to luminous distributions of LED source and interested target beam pattern, then the control points on the freeform surface can be calculated by iterative method, hereafter using optical simulation software with Monte-Carlo ray tracing technique to verify the luminous performances. The design procedure proposed is suited for all lighting applications, especially applicable to design of the LED optical component.
This research is aimed at the analysis and design for LED TIR lens and street lighting. The TIR lens designed for batwing beam pattern, oval beam pattern and special narrow angle pattern for a novel LED light module, chip-on-board (COB) provide high efficiency, high uniformity and accurate beam angle luminous distributions. The lenses for street lighting are developed for different considerations, uniform illuminance and uniform luminance respectively, by combing with roadway brightness coefficient to achieve higher lighting quality satisfying safe and comfortable driving need for all drivers.
Due to objectively choose lighting fixtures and evaluate lighting quality quantitatively, we propose a systematic method to compare the performances between LED fixtures and traditional fluorescent fixtures for indoor lighting. The result shows that the newer designed and advanced LED fixture with batwing beam pattern is more suitable for large lighting area to achieve better uniformity and 36.7 % energy saving. The lighting power density (LPD), for 500 lux illuminance and 79 % in uniformity, is 4.05 W/m2 only, excellent over than all commercial LED lighting fixtures.

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