臺灣博碩士論文加值系統

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.

目錄
中文摘要 I
ABSTRACT II
致謝 III
目錄 IV
圖表目錄 VIII
第一章 緒論 1
1.1 固態照明背景簡介 1
1.2多晶粒LED系統簡介 2
1.3 研究動機和目的 3
第二章 理論基楚 4
2.1 發光二極體原理 4
2.2光度學 6
2.2.1光通量(luminous flux) 7
2.2.2 光強度(luminous intensity) 7
2.2.3照度(luminous intensity) 8
2.2.4亮度(luminance) 9
2-3全頻譜LED照明原理 9
2-3-1 混色原理 10
2-3-2光譜重建 11
2.4 幾何光學原理 11
2.4.1 光的穿透定律 12
2.4.2光的反射定律 12
2.4.3光的折射定律 13
2.5效率與均勻度之分析 14
2.6微透鏡陣列原理 15
2.6.1微鏡片幾何光學原理 16
2.6.2 微透鏡陣列之特性 17
2-7 能量穿透與反射 18
2.7.1 夫瑞奈(Fresnel)方程式 18
2.7.2 外反射條件下的反射率 20
2.7.3內反射條件下的反射率 21
第三章 準直全反射透鏡(COLLIMATOR TIR LENS) 22
3-1發光二極體之光源特性 22
3-1-1光源距離量測面300mm高-分析面半徑200mm 23
3-1-2光源距離量測面300mm高-分析面半徑300mm 25
3.2 準直全反射透鏡自由曲面之數學圖型推導 27
3.2.1雙凸厚透鏡之設計 28
3.2.2全反射自由曲面之設計 29
3.3 準直全反射透鏡-光源系統 31
3.3.1 準直全反射透鏡-單一LED光源 31
3.3.2 準直全反射透鏡-多色LED光源 33
3-4 分析效率與光源視角 36
第四章微結構自由曲面模型 38
4-1 多色LED光源之混光不均於及多重影現象 38
4-2 微結構透鏡自由曲面之數學模型推導 39
4-2-1第一曲面之設計 40
4-2-2第二曲面之設計 42
4-2-2-1 曲面方向設計 42
4-2-2-2 曲面面積大小設計 44
4-2-3第三曲面之設計 47
4-3光源準直化後之二次光學圓形微結構設計之陣列 49
4.4 以方形微結構設計解決漏光之問題 52
4.4.1 固定角度之方形微結構設計 53
4.4.2不同角度之方形微結構設計 56
4-5 分析比較 58
第五章結論與未來展望 61
5.1結果與討論 61
5.2未來展望 62
參考文獻 63

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