Computer-aided alignment (CAA) is a key technology for improving the assembly efficiency and performance of optical systems. However, because of the coma-free pivot point in two-mirror optical systems (TMOSs), the wavefront aberrations from multiple fields of view (FoVs) are required to compute misalignments, and this is not practical. Therefore, misalignment-caused wavefront aberrations were investigated based on the nodal aberration theory, and an analytical aberration computation model for TMOSs was derived. Based on this, an efficient misalignment calculation method based on single-FoV aberrations that introduces known misalignments was proposed and tested by conducting Monte Carlo simulations using the Hilbert telescope. The results showed that micron-level precision can be achieved for the aberration and misalignment calculation without any measurement noise and that a greater number of introduced misalignments can decrease the effect of measurement noise, thereby verifying the effectiveness of the proposed model and method. The findings of this research will open a new direction in CAA by introducing the misalignment rather than the FoV.

中文翻译：

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基于单视场波前像差的双镜光学系统错位高效计算

计算机辅助对准（CAA）是提高光学系统组装效率和性能的关键技术。然而，由于双镜光学系统 (TMOS) 中的无彗差枢轴点，需要来自多个视场 (FoV) 的波前像差来计算未对准，这是不切实际的。因此，基于节点像差理论研究了未对准引起的波前像差，并推导出了TMOS的解析像差计算模型。基于此，提出了一种基于单视场像差引入已知错位的有效错位计算方法，并通过使用希尔伯特望远镜进行蒙特卡罗模拟进行了测试。结果表明，在没有任何测量噪声的情况下，像差和错位计算可以达到微米级的精度，并且引入更多的错位可以降低测量噪声的影响，从而验证了所提出的模型和方法的有效性。这项研究的结果将通过引入错位而不是 FoV 为 CAA 开辟新的方向。