根据高层大气遥感的应用要求，设计了一个全反射式的远紫外高光谱成像仪光学系统，该系统由扫描镜、离轴抛物面望远镜和超环面光栅光谱仪组成。提出了一种凹面超环面光栅光谱仪像差校正方法，根据凹面光栅的几何像差理论求解初始结构参数，然后利用光学设计软件Zemax进行优化，完成了超环面光栅光谱仪的设计，在工作波段内，点列图半径的方均根均小于16 μm，实现了宽波段像差同时校正，满足光谱分辨率0.6 nm的指标要求，也证明了提出的像差校正方法是可行的。运用光学设计软件Zemax对远紫外高光谱成像仪光学系统进行了光线追迹，并对设计结果进行了分析，分析结果表明，各波长的光学传递函数均达到0.8以上，完全满足设计指标要求，且结构紧凑，适合空间遥感应用。

According to the application requirements for remote sensing of upper atmosphere, a reflective optical system of spaceborne far ultraviolet hyperspectral imager is designed. Which is composed of a scan mirror, an off-axis parabolic telescope and a toroidal grating spectrometer. An aberration-correction method for concave toroidal grating is developed. The initial parameters are solved based on the geometrical aberration theory of concave grating and then optimized using the optical design software Zemax, and the toroidal gating spectrometer is designed. The root mean square of spot radius is less than 16 μm in the working waveband. Aberration is corrected simultaneously in broadband and the requirement of spectral resolution of 0.6 nm is satisfied, which indicates the aberration-correction method is feasible. Ray tracing and analysing are performed by Zemax software. Analyzed results demonstrate that the modulation transfer function for different wavelength is more than 0.8, which satisfies the design requirements. The construction is compact and suitable for application in space remote sensing.