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By using the method of computer modeling with Matlab to compute the coordinate values of discrete points of the ideal collimating lens,the parameters of cylindrical lens are solved through the method of numerical fitting and quadric surface approximation,which simplifies the design process of laser diode beam collimated by cylindrical lens and facilitates the actual operation.The analysis result shows that the cylindrical lens with quadric surface are very suitable for collimating laser diode beam,and whose surface can be selected by actual requirements.By contrast,this method is simple,and it can easily be designed,and which can quickly adjusts the parameters to optimize.At the same time,the parameters of collimating lens can be properly selected by the grade of difficulty level in the manufacture process.

为了满足空间同轴三反相机对大口径凸非球面高精度的面形质量和精确的几何参数控制要求，提出以计算机控制确定性研抛工艺为核心的多工序组合加工及检测技术。在加工阶段，首先利用超声振动磨削技术对非球面进行面形铣磨，其次应用机器人对非球面面形进行快速研磨和粗抛，最后采用离子束修形技术实现非球面的高精度加工；在检测阶段，首先利用三坐标测量机对铣磨和研磨过程中非球面的面形及几何参数进行控制，进入干涉仪测量范围后，再采用Hindle球法对非球面光学参数进行干涉检测。结合工程实例，对一口径520 mm的凸双曲面次镜进行了加工及检测，其面形精度RMS为0.015（=632.8 nm），几何参数控制精度△R误差为0.1 mm、△K优于0.1%，满足光学设计技术指标要求。