本研究以找出建構均勻度佳且大角度之背光透鏡設計方法為主軸，背光透鏡主要是用在直下式LED液晶顯示器的背光模組中，以LED作為背光模組之光源，透過背光透鏡可讓LED出光角度擴大，以減少同尺寸面板的LED顆數、減低顯示器生產時的成本，也達到綠色節能的效果。
本篇論文透過幾何光學的折射關係式，由Matlab計算出背光透鏡基礎模型的曲面座標點，再匯入光學軟體LightTools中建模，在LightTools建構簡易的背光模組結構層，分析背光透鏡的光學效果，從反覆的模擬結果中設計自由曲面且找出影響角度及均勻度較大之曲面的權重值，將權重值設為優化之變數，使模擬結果可更佳，最後將光學模擬結果與計算背光均勻度之參考文獻相比較，套用參考文獻之計算方法，分析本研究設計的背光透鏡是否有較佳的均勻度，藉由上述之設計方法可透過自由曲面解決均勻度問題，且提供出一套讓設計者較能掌握、便於運用的設計流程。

The purpose of this thesis is to construct backlight lens for excellent uniformity which includes the large angle backlight lens. Backlight lens is mainly used in direct type LED display in backlight unit using LED as backlight unit light source. Backlight lens lets LED Beam angle expand to reduce LED pieces and the size of the panel and reduces the cost of monitor. In addition, Backlight lens reaches the green energy-saving effect.
In this thesis the base model of the backlight lens surface coordinate points are calculated by Matlab with the refraction relationship of geometrical optics. We input surface coordinate points into LightTools and construct simple structural layer about backlight and modeling. After modeling we analyze effect of backlight lens. Since the simulation results of repeated freeform lens design we identify the weight value of variables about the beam angle and the uniformity of the surface to optimize the variables. We compare the final calculation of the optical simulation results to backlight uniformity of reference and use the calculation methods of reference to analyze the design of this thesis. The uniformity issues of freeform is solved through the above method, and we provides a method which allows designers to grasp better and to design easy.

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