本論文旨在透過二次光學設計開發大角度折射式透鏡，並將其應用於直下式背光模組中，以在限定混光距離內設計出能疊加後達到光型均勻的效果，從而實現降低商業成本的目標。 由於所設計的折射式透鏡會使LED光源產生大角度折射，且LED封裝中的黃色螢光粉與藍色晶片的尺寸有所差異，因此在構建光源模型時，需要分別對黃光和藍光以中場擬合法進行建模和驗證，以解決實驗中遇到的黃暈問題。在黃光模型中，我們使用權重因子來建立光源模型，並進行驗證。通過二次光學設計，我們設計了三款不同的透鏡，並製作樣品進行實驗。 我們修正了第一款透鏡疊加後重疊部分造成的不均勻現象，並在第二款透鏡的實驗中發現黃光和藍光在折射率上的差異會導致模擬與實驗的差距，因此需要以不同的折射率進行模擬。最終，我們設計出了第三款透鏡，成功解決了前述問題。 ;This paper aims to develop a wide-angle refractive lens through secondary optical design and apply it to direct-lit backlight modules. The goal is to achieve uniform light distribution within a limited Optical Distance, thereby reducing commercial costs. Due to the significant refractive angles and differences in the sizes of yellow phosphor and blue chip in LED packages, separate modeling for yellow and blue light in mid-field region is required to address the yellow halo issue. A weighting factor is used for the yellow light model to establish and verify the source model. Three different lenses were designed and sampled for experiments. The first lens was corrected for overlap-induced non-uniformity. In the second lens, refractive index differences between yellow and blue light caused discrepancies between simulation and experiment, requiring simulations with varying refractive indices. The final design of the third lens successfully resolved the issues encountered.
