基于三维构建法的大视场低畸变自由曲面空间光学系统设计

为了满足空间遥感器对光学系统大幅宽、低畸变、小体积的要求，采用三维构建法设计了一个大视场离轴四反自由曲面光学系统，成像全视场为60°，相对孔径为D/f′ = 1/14 。阐述了三维构建法的设计思路，并采用该方法直接由二次非球面系统设计得到自由曲面光学系统，作为初始结构进一步优化。优化之后，光学系统的平均传递函数优于0.5(25 lp/mm)，最大相对畸变为0.54%。研究结果表明，三维构建法有效、快捷，极大地提高了自由曲面光学系统的设计效率。同时，基于三维构建法设计的大视场自由曲面光学系统，系统畸变显著减小，解决了大视场反射式光学系统传递函数(MTF)与畸变无法平衡的难题，满足空间遥感的未来发展需求。

Abstract

To meet the requirement of large-field, low-distortion and small-volume for optical system used in remote sensing field, a large-field freeform four-mirror off-axis reflective imaging system is designed with the 3D construction method, which is with the field of view of 60° and the relative aperture of 1/14. In this paper, the 3D construction method is introduced. A freeform optical system can be obtained directly from a starting point of conic system with the 3D construction method, and it can be taken as a good starting point for further optimization. In the final system, the average of the modulation transform function (MTF) of all field of view is greater than 0.5(25 lp/mm) and the maximum relative distortion is 0.54% . The 3D construction method is effective and can tremendously raise the design efficiency of freeform optical system. And the freeform largefield imaging system designed with 3D construction method shows its advantage of much lower distortion and meets the balance between the high imaging quality and low distortion of the large- field imaging system, satisfying the future development requirement of remote sensing.

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李娜, 黄颖. 基于三维构建法的大视场低畸变自由曲面空间光学系统设计[J]. 光学学报, 2016, 36(3): 0322001. Li Na, Huang Ying. Design of Large-Field and Low-Distortion Freeform Space Optical System with 3D Construction Method[J]. Acta Optica Sinica, 2016, 36(3): 0322001.

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