为完善国内星载电离层成像光谱仪研究，设计了一种适用于120~180 nm波段探测的光学系统。根据探测目标特点，结合国外方案提出了以离轴抛物镜为物镜，超环面光栅为成像光谱系统的方案；为解决传统单光栅结构像差校正不均匀、空间分辨率低等缺点，结合光栅表面方程和光程函数方程进行了理论分析，获得了全波段像差纠正的处理方法；利用Matlab编程计算初始结构，并用Zemax设计优化，成功得到了F数为6.8，焦距为102.3 mm，具有良好空间分辨率和高光谱分辨率的星载电离层成像光谱仪系统。通过对结果进行分析可知，全系统的像差得到充分校正，全视场全波段调制传递函数值在0.7以上，光谱分辨率0.56 nm，满足设计指标要求，设计方法和设计结果合理可行。

An optical system working in 120~180 nm is developed for the study of ionospheric imaging spectrometer carried by satellite in China. The scheme, that the telescope is an off-axis parabolic mirror and the imaging spectral system is a single toroidal grating, is assumed with comparing different programs in foreign countries, based on characteristics of targets. Then the theory is studied by introducing the surface equation of the grating and optical path function, to get a novel broadband aberration-corrected method to resolve the disadvantages of traditional single grating structure, non-homogeneous aberration correction and low spatial resolution. The original structure is obtained by Matlab and is simulated by Zemax. A system operating in 120~180 nm with F-number of 6.8, focal length of 102.3 mm is designed. This imaging spectrometer has high spatial resolution and spectral resolution. The results demonstrate that aberrations are totally corrected, the modulation transfer function (MTF) of all field of view is more than 0.7 in the waveband, and the spectral resolution is 0.56 nm. It proves that the design which can satisfy the requirement of the design specifications is more convenient and more predominant.