中文摘要：

设计并优化了高效且结构紧凑的折射/全反射/反射/折射式（RIXR）LED准直系统,用于收集大角度范围内的光线获得具有较小发散角的准直光束。首先,根据非成像光学理论中的边缘光线原理以及多面同步（SMS）设计方法计算系统初始结构的面型;然后,利用Zemax光学设计软件对初始结构进行优化设计;最终得到最佳结构的LED准直系统。优化设计得到的RIXR型准直系统的半口径为20 mm、纵横比为0.25、集光角为200°。LED准直系统经反向光线追迹得到边缘视场（±3.178°）点列图的均方根半径〈2.1μm,故边缘视场达到了很好的聚焦效果。充分考虑材料的吸收损失和界面的反射损失后,光能利用率高达83.48%。实验表明,基于RIXR结构的LED准直系统具有光能利用率高、结构紧凑、体积小、便于应用等特点。

英文摘要：

A high efficient,compact,Refractive / Total internal reflection / Reflective / Refractive（RIXR） collimating system was designed and optimized to collect a wide angle range light to emit the collimating beam with a small divergence angle.Firstly,the surface of the initial structure of the system was calculated according to the edge-ray principle and Simultaneous Multiple Surfaces（SMS） method based on the non-imaging optics theory.Then,the initial structure was optimized by using Zemax optical design software.Finally,the best LED collimating system was successfully designed.According to the results of the design,the semi-diameter of the RIXR collimating system is 20 mm,aspect ratio is 0.25 and its collection angle is 200°.These results indicate that the system can completely collect the light emitted by LED sources.As the root mean square radius of a spot diagram for the edge field（± 3.178°）obtained by the reverse ray tracing is less than 2.1 μm,the edge field shows an excellent focusing effect.Furthermore,when the light absorption loss of the material and reflection loss of the interface are fully considered,the light energy utilization rate is as high as 83.48%.Experiments demonstrate that the RIXR-type collimating system has advantages in a compact structure,high light energy utilization ratio and easy to use.