Using the wavefront aberration theory of the plane-symmetric optical systems with respect to an astigmatic reference wavefront, the astigmatism feature of the spectroscopic system for Offner imaging spectrometer is analyzed and its initial structural parameters are determined. The designed spectroscopic system works within SWIR band, i. e. 1.0 ~2.5μm. It has the advantages of long slit (30mm) ,high speed (F/#2.5), compactness, and both objective and imagery telecentrics. Moreo-ver , either the smile or the keystone of the spectral image of its slit is less than five percent of a pixel size. And its imaging quality approaches to diffraction limit.%应用以像散面为参考波面的平面对称光学系统波像差理论,分析Ofiner型成像光谱仪分光系统的像散特性,确定其初始结构.优化设计适用于短波红外波段(1.0~2.5μm)的此型成像光谱仪分光系统,设计得到的系统具有入射狭缝长(30mm)、相对孔径大(F/#2.5)、结构紧凑、物像方远心等优点,其狭缝光谱像的弯曲畸变和色畸变均小于百分之五个像元,成像质量接近衍射极限.
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