光学学报, 2016, 36 (7): 0708001, 网络出版: 2016-07-08
偏轴自由曲面光学系统像差特性研究 下载: 632次
Aberration Properties of Off-Axis Freeform Surface Optical System
几何光学 矢量像差 Zernike多项式 自由曲面 偏轴 geometric optics vector aberration Zernike polynomial freeform surface off-axis
摘要
基于矢量像差理论,提出了以Fringe Zernike多项式为表征函数的偏轴自由曲面光学系统像差分析方法,推导了偏轴自由曲面系统的三阶像散和彗差解析表达式,分析了自由曲面对偏轴系统像差节点分布的影响。根据像差分布特性,有针对性地选取和优化Zernike系数,设计了一个偏轴两反自由曲面长波红外光学系统,系统有效焦距为500 mm,口径为300 mm,采用384 pixel×288 pixel非制冷红外探测器接收,像素大小为25 μm。优化后的系统三阶像散和彗差节点被重新移至视场中,平衡了系统偏轴引起的非对称像差,系统成像质量接近衍射极限,满足使用需求。
Abstract
Based on the vector aberration theory, a method to analyze aberration field distribution induced by the Fringe Zernike polynomial off-axis freeform surface is proposed. The analytical expressions of third-order astigmatism and coma of off-axis freeform surface system are deduced. The aberration nodal distribution of off-axis system caused by the freeform surface is analyzed. According to the aberration distribution properties, with proper Zernike terms selected and optimized, an off-axis two-mirror freeform surface long-wave infrared optical system is designed, and the system has an effective focal length of 500 mm and a pupil diameter of 300 mm. The system is compatible with the uncooled infrared detector that has a format of 384 pixel×288 pixel, and the pixel size is 25 μm. The third-order astigmatism and coma nodes of the optimized system are both moved into the field of view, the asymmetric aberration induced by off-axis is balanced, and the imaging quality of the system is close to the diffraction limit that meets application requirements.
史浩东, 张新, 王灵杰, 王超, 姜会林. 偏轴自由曲面光学系统像差特性研究[J]. 光学学报, 2016, 36(7): 0708001. Shi Haodong, Zhang Xin, Wang Lingjie, Wang Chao, Jiang Huilin. Aberration Properties of Off-Axis Freeform Surface Optical System[J]. Acta Optica Sinica, 2016, 36(7): 0708001.