自由反射面设计中的椭流面光滑化研究  

Smoothing of ellipsoid flow patches in optical design for freeform reflector

作　　者：张航[1] 刘超[1] 马宇飞[1] 周海波[1] 苏泽宇[1] 陈钢[1] 

机构地区：[1]浙江工业大学应用物理系,浙江杭州310023

出　　处：《应用光学》2015年第5期818-822,共5页Journal of Applied Optics

摘　　要：基于配焦椭流面的光学自由曲面设计具有几何意义明确、设计灵活和优化思路清楚等优点,但也存在表面不光滑的弊端。为了将每个椭流面片尽可能地光滑拼接,从边缘一点为起始位置开始构建自由反射面,先在θ方向构建光滑的椭流面,然后通过调整能量分配的方法,减小曲面在φ方向的不连续性。通过仿真验证,此方法可在2min内完成对40 000个椭球面片的计算处理,构建的曲面保证能量在目标面上均匀分配的同时在连续光滑性上也有很大提高。The optical design based on foci mapping ellipse flow-patch method has many advantages,such as clear geometric meaning,design flexibility and explicit method of optimization,but there is a drawback that the surface is not smooth.In order to sew up each ellipse flowpatch on the freeform reflector smoothly,the surface of reflector started from one point on the edge and a smooth ellipse flow-patch was built in theθ-direction,then the discontinuity in theφ-direction could be reduced by the energy adjusting method.The time consumption for the surface reconstruction from 40 000 ellipsoid pieces with this method is only about 2min.The free-form surface cannot only ensure the energy distributed equally,but also improve the smoothness greatly.

关 键 词：几何光学 矩形均匀照明 配焦椭流面 非成像光学 自由反射面 

分 类 号：TH74[机械工程—光学工程]