在本論文中，為了探討YAG螢光粉封裝成白光LED的光學特性，因此建立YAG螢光粉光學模型，而光學模型可分成散射模型、吸收係數與轉換係數來討論。我們利用蒙地卡羅光追跡法結合米氏散射理論來描述光線於螢光粉膠體中的散射行為，之後藉由藍光與黃光兩次光追跡來描述白光的光學特性，再經由實驗與模擬來分析吸收係數與轉換係數，由於螢光粉對不同波長激發光的吸收能力皆不相同，故引入β參數來提高螢光粉模型在色彩表現預測的準確性，最後藉由實際封裝白光LED來驗證模型準確性。

In this thesis, we build up a precise model to describe the optical characteristic of white LEDs based on YAG phosphor. The modeling parameters include scattering model, absorption coefficient and transfer coefficient. We simulate light scattering in YAG phosphor with Mie scattering based on Monte Carlo ray tracing. The simulation includes the optical behaviors of blue lights and yellow lights. The experimental measurement results are applied to figure out the modeling parameters. Since the absorption and emission of the phosphor is a function of incident wavelength, we introduce a β factor to increase the accuracy of phosphor simulation.

書名頁 i
摘要 iii
ABSTRACT iv
誌謝 v
目錄 vii
圖目錄 ix
表目錄 xiv
第一章 緒論 1
1.1 LED背景 1
1.2 研究動機 6
1.3 論文大綱 7
第二章 基本原理 8
2.1 引言 8
2.2 LED發光原理 8
2.3 螢光粉發光原理與特性 9
2.4 混光原理 12
第三章 螢光粉模型之建立 15
3.1 引言 15
3.2 螢光粉散射模型 16
3.3 螢光粉的吸收參數 24
3.4 螢光粉的轉換參數 33
第四章 螢光粉特性分析與光學模型驗證 38
4.1 引言 38
4.2 螢光粉模型的分析 38
4.3 不同波長下的激發程度對激發光源的頻寬之影響 45
4.4 螢光粉模型的驗證 51
第五章 結論 59
中英文名詞對照表 63

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