本文设计并验证了一种基于光源立体角—目标照明空间分区映射的LED 照明透镜,在目标平面上实现了高效率的均匀照明。基于对光源辐射能的微分和屏幕预期的照度能量分布之间建立映射关系,构建出透镜曲面特征的偏微分方程,反向地求解出实现该能量传递方案的透镜结构。设计实例中,光源采用1.2 mm×1.2 mm 的LED芯片,照明透镜将预定空间立体角内99%以上的能量整形为均匀性为91.67%的有效目标照明。结果与理论相互符合,证明了这是一种行之有效的设计方法。

Based on a spatial energy partition mapping, a design method of LED illumination lens is demonstrated to realize high-efficiency and high-uniformity illumination on the target screen. This method first performs the differential of the radiation source, and then establishes a relation mapping with the prescribed lighting. Lens structure can be finally achieved by solving a group of partial differential equation. For design demonstration, a high-power LED with the emitting area of 1.2 mm×1.2 mm is applied. The designed lens could offer an effective lighting on the target with the collection efficiency over 99% and the spatial uniformity of 91.67%. Simulation results agree well with the theoretical derivation.