针对规定波前误差的自由曲面光学系统在表面频率带上的表面变化分析
Surface variation analysis of freeform optical systems over surface frequency bands for prescribed wavefront errors
AI总结：
本文提出一种基于实际光线数据并考虑表面频率带斜率的自由曲面公差分析方法，可快速评估指定频率带内的表面变化并获取显著波前像差，通过单镜和离轴双镜系统验证了其可行性。
摘要：
自由曲面的表面误差反映了制造的复杂性，并显著影响所设计光学系统加工的可行性。由于自由曲面具有多个自由度，其在领域内的表面公差分析面临诸多挑战。然而，当前研究忽略了表面斜率对光线传播方向的影响。即使表面矢高变化很小，表面斜率的突然改变也会导致波前发生相应的突变。此外，在自由曲面制造领域，不同频率带上表面斜率的变化可能产生独特的表面变化。在本研究中，我们提出了一种基于实际光线数据、考虑表面频率带斜率的自由曲面表面变化公差分析方法。该方法利用实际光线数据快速评估指定表面斜率频率带内的表面变化。关键在于，与以往方法相比，我们所提出的方法能够获得具有显著波前像差的系统表面变化。通过分析一个单视场单反射镜系统和一个离轴双反射镜系统，评估了该框架的可行性和优势。我们期望将所提出的方法与自由曲面设计和制造相结合，从而拓展自由曲面光学的应用范围。
英文摘要：
The surface errors of freeform surfaces reflect the manufacturing complexities and significantly impact the feasibility of processing designed optical systems. With multiple degrees of freedom, freeform surfaces pose challenges in surface tolerance analysis in the field. Nevertheless, current research has neglected the influence of surface slopes on the directions of ray propagation. A sudden alteration in the surface slope will lead to a corresponding abrupt shift in the wavefront, even when the change in surface sag is minimal. Moreover, within the realm of freeform surface manufacturing, variation in surface slope across different frequency bands may give rise to unique surface variation. Within the context of this study, we propose a tolerance analysis method to analyze surface variation in freeform surfaces considering surface frequency band slopes based on real ray data. This approach utilizes real ray data to rapidly evaluate surface variation within a specified frequency band of surface slopes. Crucially, our proposed method yields the capability to obtain system surface variation with significant wavefront aberration, in contrast to previous methodologies. The feasibility and advantages of this framework are assessed by analyzing a single-mirror system with a single field and an off-axis two-mirror system. We expect to integrate the proposed methodology with freeform surface design and manufacturing, thereby expanding the scope of freeform optics.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
