自由反射面设计中的椭流面光滑化研究

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，减小曲面在方向的不连续性。通过仿真验证，此方法可在2 min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。

Smoothing of ellipsoid flow patches in optical design for freeform reflector

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 flow-patch 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 the direction, then the discontinuity in the 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 2 min. The free-form surface cannot only ensure the energy distributed equally, but also improve the smoothness greatly.