在本文中，我們利用蒙地卡羅光線追跡方法，建立LED光學萃取模型，分析LED晶片與封裝結構的改變對光萃取效率的影響。首先，我們針對微米級尺寸的LED進行分析。微米級LED擁有吸收小，出光面積大等優勢，此外，我們亦考慮了繞射效應對結構的光萃取效率之影響，圓環型LED之輝度比圓盤型LED提升約3~13%。再者，我們分析微陣列結構於晶片表面或界面的光萃取效率之影響，並針對其陣列結構進行優化，有織狀陣列結構且有環氧樹脂透鏡封裝的傳統打線式發光二極體可以達到最高的光萃取效率約76%。最後，我們也討論了陣列結構於不同封裝技術下，所造成的效應，以求達到擁有高效率的LED光源。

In this dissertation, we build the optical model for light extraction analysis based on Monte Carlo ray tracing to study light extraction efficiency with respect to LED’s chip process and package.
The first topic of the study is to analyze the light extraction of micro-LEDs. We study the effect on light extraction by the diffraction effect according to very small scale. The radiance of micro-ring LED is larger 3~13% than that of micro-disc LED. The second topic is to study the light extraction enhancement by surface texture and patterned substrate. We propose the optimal structure to obtain the highest light extraction efficiency. The light extraction enhancement of wire-bounding LED with surface texture and patterned substructure is 76%. Finally, we consider the package effect on the light extraction to meet the practical condition.

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