本研究以自由曲面之數學模型，進行準直全反射透鏡及微透鏡陣列擴散板之設計，解決多色LED系統光源中三個問題，一為過大之光源視角所造成效率損失，二為朗伯型光源效應所造成的照度不均勻，三為多色LED晶片擺放位置所產生混光不均勻。將多色LED光源(六顆晶片)，經過準直全反射透鏡後，成為近準直光源及達到效率的提升，再以準直光源進行微透鏡陣列擴散板之設計，最後以準直化光源打在微透鏡陣列擴散板，而以方形微結構-角度不同之設計為最佳之結果。微透鏡陣列擴散板，有可解決多色LED之混光不均勻，及提高均勻度之優點。

The main purpose of this thesis is to solve three major problems of Multiple chip LEDs . First problem is bigger view angle makes the low efficiency. Second problem is Lambertian light source effects the un-uniformity analysis surface. Third problem is the position of multiple chip LEDs cause by the mixed-color non-uniformity.
We used the freeform mathmatical models to design the optics device for the collimator TIR lens and micro-lens-array diffuser. In the Multiple chip LEDs (six LEDs) we utilized the designed collimator TIR lens to collimate the LED lighting source then used the collimator light source to design the micro-lens-array diffuser. Finally the ray trace of Multiple chip LEDs light source through the collimator lens and micro-lens-array diffuser. The result showed the square micro-structure in different angle has the best result.

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