提出了一种检测大口径、快焦比凸双曲面反射镜的补偿检验方法，补偿系统由一组小透镜和一块大口径反射标准镜组成，标准镜的口径约为被检验镜的1.8倍，该方法为极大口径光学望远镜凸非球面副镜的检验提供了一种有效的解决方案。以美国30 m望远镜(TMT)Φ3.1 m，F/1的凸双曲面副镜为例，进行了补偿光路的设计优化。设计结果表明，该方法可以直接检测到直径达3.1 m的大口径、快焦比凸双曲面副镜的整个表面质量，补偿系统像差被校正得很好，PV值约为λ/100，弥散斑直径在衍射极限范围内。关键词：

A new test for steep convex hyperboloidal secondary mirrors with large aperture and fast focus ratio is presented. It makes use of small correcting lens and an auxiliary ellipsoidal mirror which aperture is about 1.8 times as large as that of the convex mirror tested. This method is sutable for convex secondary asphere of very large aperture optical telescope. Taking TMT as an example whose surface is a convex shape with the diameter of 3.1m, fast focus ratio of F/1 and conic constant of -1.318 228, a null compensation system is successfully designed and optimized. The design results indicate that the surface quality of the steep convex hyperboloidal secondary mirror could be measured directly, in addition the aberration of the testing system is well corrected，PV is about λ/100 and the spot diameter is smaller than the diffraction limit. Analyses of the system′s wave-front error with respect to the change in the surface parameter of optical elements are described.