近年來LED應用領域迅速擴展，但由於LED光源強度多近似於Lambertian分布，能量分布角度集中，造成其照明區域小，因此尚無法取代傳統光源成為照明的主流光源。在本篇論文中，提出利用一次光學追跡優化法，使非對稱照明設計照度均勻的優化方法。由於此優化方法需使用透鏡改變光源出光強度分布，本論文進而提出建構具備該功能的複合自由曲面透鏡的方法。本論文並以此方法設計出一應用於室內照明的36W、600mm×600mm的薄型燈箱，將LED光源成功地應用於室內照明。參考一般辦公室、教室的燈具配置方法，以等間隔的陣列方式布置燈箱時，在案例一中所設計的薄型燈箱效率為76.2%，可在照明目標面垂直及水平方向分別達到94.5%和94.2%的照度均勻度。而在案例二中所設計的薄型燈箱效率為92.8%，可在照明目標面垂直及水平方向分別達到92.7%和89.4%的照度均勻度。

In recent years, the LED applications have been widely developed. However, because the radiant intensity distribution of LED is closed to the Lambertian distribution, its radiant energy is concentrated at a small angular region and its illumining area is small. Thus, the LED is still not the main illumination light source of nowadays. In this thesis, we propose to design non-symmetrical illumination systems that providing uniform illumination using the “one-time ray-tracing method.” As using the proposed method, the light source radiant intensity distribution is needed to be converted to an optimized distribution. Thus, this thesis proposes a method to build a lens possessing the function by a kind of compound freeform lens. Besides, this thesis designs a thin indoor lighting box with uniform illumination using one-time ray-tracing method, where the power of the lighting box is 36 W, and the physical size of the lighting box is 600mmx600mm. That is, this study successfully applied the LED to the indoor illuminations. In the final design, the thin lighting boxes are arranged in a general array form. In the first design case, the optical efficiency, vertical- and horizontal- illumination uniformities of the target illumination area achieved 76.2%, 94.5% and 94.2%, respectively. In the second design case, the optical efficiency, vertical- and horizontal- illumination uniformities of the target illumination area achieved 92.8%, 92.7% and 89.4%, respectively.

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