为了能够准确获取基于子孔径拼接的Hindle球检测大口径双曲面镜的Hindle球参数, 研究了Hindle球检测凸双曲面镜的理论模型, 并从几何光学入手, 讨论了基于子孔径拼接的Hindle球检测法的系统结构, 推导了符合子孔径拼接要求的小口径Hindle球的参数计算式。对一个凸双曲面镜进行了在不同测量环带数目下的基于子孔径拼接的Hindle球检测法和经典Hindle球检测法的Hindle球参数对比。结果表明该Hindle球检测方法使Hindle球参数更合理。

The paper introduces a method for testing large hyperboloidal convex mirrors with the theory of Hindle-sphere testing that involves the idea of sub-aperture stitching. In order to get the parameters of the Hindle sphere based on sub-aperture stitching, the system of Hindle-sphere testing based on sub-aperture stitching was studied through the geometric optics. The parameters of the Hindle sphere of the new method and the classic method was calculated and compared in the test of a hyperboloidal mirror. The results show that the Hindle-sphere method based on sub-aperture stitching can make the Hindle-sphere’s parameters more reasonable.