为了完成直径2 m 拼接红外相机的项目，采用圆形子镜加抛物面扇形分块镜的主镜拼接方案，完成了相机的光学系统设计；为了分析拼接失调误差对望远镜系统的影响，通过主镜的抛物面方程导出了拼接误差的波像差表达式，由此建立了波像差与干涉亮纹之间的线性关系，并在光线追迹的基础上，利用泽尼克多项式对其进行了仿真和验证，提出了基于泽尼克多项式实现拼接误差的线性反演方法，通过编写Python 程序模拟了单个子镜拼接过程中的误差反演。结果表明当拼接平移误差小于0.1 mm(或倾斜误差小于0.1°)时，采用干涉检测的方法，得到的反演偏差优于0.5%，且随着拼接误差的继续减小而趋近于零。

In order to accomplish the project of infrared telescope with φ2 m aspheric segmented primary mirror, the infrared telescope optical system design is finished, its primary mirror consists of a circular center mirror and 8 sector-shaped segment mirrors. For the purpose of analyzing the influences of segmented mirrors′ maladjustments on whole optical system, a wavefront aberration representation is derived through aspheric surface equation, then the linear relation between wavefront aberration and interference bright fringe is established, and based on optical raying tracing, the linear relation is verified by using simulation method with fringe Zernike coefficients. A linear retrieval method of stitching errors base on Zernike coefficients is proposed, a Python-based program is compiled in order to simulate errors retrieval in the stitching process of single sector-shaped segment. The simulation results show that when the stitching translation tolerance is less than 0.1mm (or angular tolerance is less than 0.1°), testing by interference method, the retrieval deviation is better than 0.5%, and continues to decrease to near zero.