In order to obtain the tw o‐dimensional spatial information and one‐dimensional spec‐tral information within the field of view (FOV) range of ± 15° from 400 nm to 900 nm ,a kind of system for acousto‐optic tunable filter (AOTF) imaging spectrometer was designed .The working principle of AOTF was described .According to the overall plan ,the fore‐optics and post imaging system were finished .The fore‐optic system was utilized the inverted Galileo tel‐escope ,and the post had an improved‐Cooke triplet‐structure .Finally the optic system was completed .The focal length is 19 .311 mm and the F number is 12 .3 .While the spatial fre‐quency is 34 lp/mm ,the modulation transfer function (MTF) is 0 .5 .%为了在±15°视场角范围内获得工作谱段范围在400nm～900nm声光可调谐滤波器（AOTF）成像光谱仪系统的二维空间信息以及一维光谱信息，设计了一种应用于AOTF成像光谱仪的光学系统。介绍AOTF的工作原理，根据AOTF成像光谱仪总体方案，对前置系统及后置成像系统进行了设计。设计中前置系统采用倒置的伽利略望远镜结构，后置成像系统采用改进的库克三片式结构。最终完成了一个焦距为19．311mm，F数为12．3，在34lp／mm的空间频率下各视场调制传递函数（MTF）均值大于0．5的光学系统。
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