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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 complete the project of 2 m diameter stitching infrared camera, the optical system design of the camera was completed by using the mirror combination of a circular sub-mirror and a parabolic sector-shaped mirror. In order to analyze the influence of the mismatch of stitching on the telescope system, The parabolic equation was used to derive the wave aberration expression of the splicing error. The linear relationship between the wave aberration and the interference fringes was established. Based on the ray tracing, Zernike polynomials were used to simulate the wave aberration. The linear inversion method based on Zernike polynomial is proposed to verify the stitching error. The error inversion in the process of splicing a single sub-mirror is simulated by writing Python program. The results show that when the error of splicing and translation is less than 0.1 mm (or the tilt error is less than 0.1 °), the inversion error obtained by the method of interference detection is better than 0.5% and approaches zero as the error of splicing continues to decrease.