在本論文中，基於基本幾何光學原理之下，建構透鏡式與反射杯兩種自由曲面二次光學系統的初始系統模型，搭配使用 TracePro 軟體的 2D/3D 互動式優化器繪製模型，使用Downhill simplex method進行自由曲面的自動優化，將直徑 300mm 表面光源的二次光學系統收光角度設計在 9 度以內。由此方法可以避免不斷重複的調整模型和重新設置參數，大幅縮短所花費的時間，在短時間之內就能優化出精準配光的自由曲面光學元件，而設計出的自由曲面二次元件與相同尺寸之非自由曲面元件，其收光角度優化了15度~17度。;In this thesis, we built two types of initial model of free-form surface secondary optical system, lens and reflector based on principles of geometry optics. Then use 2D/3D interactive optimizer of TracePro to create initial model, and automatic optimization of free-form surfaces. The beam angle (50% lv) of the secondary optical system on 300mm diameter surface light source is 9 degrees or less. Apply this method, we avoiding repeated re-set parameters and adjust model, significantly reducing the time it takes. Finally we got the best model of high precision free-form surface secondary optical element in a shorter time.
