Investigation of surface imperfection in freeform optics with high-order XY polynomial design
Investigation of surface imperfection in freeform optics with high-order XY polynomial design
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DOI：
10.1007/s00170-023-12738-7
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发表时间：
2023-12
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影响因子：
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通讯作者：
Sumit Kumar;Wenbin Zhong;Guoyu Yu;Jufan Zhang;W. Zeng;Xiangqian Jiang
中科院分区：
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作者：
Sumit Kumar;Wenbin Zhong;Guoyu Yu;Jufan Zhang;W. Zeng;Xiangqian Jiang
自由曲面在光学领域具有潜在的应用前景，但也给制造和功能测试带来了新的挑战。根据由于光学制造的发展而改变的表面空间频率，观察到这种表面的基本描述。虽然制造和测量过程中产生的中空间频率(MSF)误差已经有了很好的记录，但我们的调查表明，这种误差不仅源于这些阶段，而且源于设计阶段的曲面构造过程，特别是对于高次XY多项式光学曲面。MSF误差的存在会显著影响各种应用中的高性能光学系统的性能。本文研究了高阶多项式自由曲面设计数据集的分辨率与精密光学生产中后续的表面缺陷之间的关系。这项研究的主要贡献是在设计阶段的表面构造中识别MSF误差，并使用二阶高斯滤波控制设计数据集中的MSF误差，这将弥补自由曲面光学设计和超精密制造之间的差距。
Freeform surfaces find potential applications in optics but pose new challenges for manufacturing and functional testing. A basic description of such surfaces is observed in terms of surface spatial frequencies which have been altered as a result of evolution in the fabrication of optics. While mid-spatial-frequency (MSF) errors arising from manufacturing and metrology processes are well documented, our investigation reveals that such errors originate not only during these stages but also during the surface construction at the design phase, particularly for high-order XY polynomial optical surfaces. The presence of MSF errors can significantly affect the performance of high-performance optical systems across various applications. The study discussed in this paper focuses on the relationship between the resolution of the design dataset of freeform surfaces with high-order polynomials and the subsequent surface imperfections in the production of precision optics. The main contributions of this investigation are the identification of MSF errors at surface construction of the design phase and the control over the MSF errors in design dataset using the 2nd-order Gaussian filtration which will bridge the gap between freeform optics design and ultra-precision manufacturing.