| 摘要: | 本研究主要是建立發光二極體(Light-emitting diodes,以下簡稱LED)整體出光效率之光學模型，主要是設計三層複合陣列微透鏡在LED上，以增加整體出光效率。三層複合陣列微透鏡皆由四面金字塔形所組成，第一層陣列微透鏡位於藍寶石基板上方；第二層陣列微透鏡位於p-GaN層上方；第三層陣列微透鏡位於封裝體(包含螢光粉)表面。主要設計的參數為各層四面金字塔形之頂角分別為0?、36?、72?108?144?和陣列週期分別為1.5μm、2.5μm、3.5μm、4.5μm、5.5μm。
本研究使用蒙地卡羅光線追跡法分析LED在不同設計參數下的整體出光效率，並利用田口方法推得最佳整體出光效率的參數設計。優化結果，參數在第一層陣列微透鏡之四面金字塔形頂角在72?、陣列週期在3.5μm；第二層陣列微透鏡之四面金字塔形頂角在144?、陣列週期在2.5μm；第三層陣列微透鏡之四面金字塔形頂角在108?、陣列週期在4.5μm時會有最佳的整體出光效率，比不加任何微透鏡的LED提升1.52倍。
The study is based light-emitting diode overall light extraction efficiency of the optical model ,it main designed three-layers composite microlens array on the LED, to increase the overall light extraction efficiency for led. Three-layers composite microlens array composed by four faces pyramids, the first layer microlens array is located above the sapphire substrate, the second layer of the microlens array is located above the p-GaN layer, the third layer microlens array is located above the package. It main design parameters for the four faces pyramids angle at apex is 0?,36?,72?,108?,144 ? and array cycle is 1.5μm, 2.5μm, 3.5μm, 4.5μm, 5.5μm.
The study used Monte Carlo ray tracing ,analysis overall light extraction efficiency of different parameters, and it used Taguchi method to get the best design parameters. Optimization results, parameters of the first layer of the micro lens array four faces pyramids’s angle at apex is 72 ?, array cycle is 3.5μm, parameters of the second layer of the micro lens array four faces pyramids’s angle at apex is 144?, array cycle is 2.5μm,and parameters of the third layer of the micro lens array four faces pyramids’s angle at apex is 108?, array cycle is 4.5μm have the best overall light extraction efficiency,than without any micro lens upgrade 1.52 times. |
