中文摘要：

设计声光可调谐滤波器（AOTF）成像光谱仪时，zEMAX等软件缺乏AOTF光学表面，导致光学设计困难，本文根据波矢量匹配原理，在ZEMAX中建立了基于声光衍射效应的AOTF自定义表面模型，实验表明该模型能够实现AOTF的衍射光精确追迹。在此基础上，针对传统方法校正AOTF横向色差时残差较大的问题，提出了基于胶合棱镜的高精度横向色差校正方法，结合AOTF自定义表面，完成了胶合棱镜的玻璃组合和顶角的自动优化。结果表明，文章提出的自定义表面和胶合棱镜色差校正相结合的方法大大方便了AOTF成像光谱仪的设计，能够将横向色差控制到0．0003°，比以往方法提高了一个量级，有效抑制了光谱图像的漂移。

英文摘要：

An user defined surface function method was proposed to model the acoustcroptic interaction of AOTF based on wave- vector match principle. Assessment experiment result shows that this model can achieve accurate ray trace of AOTF diffracted beam. In addition, AOTF imaging spectrometer presents large residual lateral color when traditional chromatic aberrations cor- recting method is adopted. In order to reduce lateral chromatic aberrations, a method based on doublet prism is proposed. The optical material and angle of the prism are optimized automatically using global optimization with the help of user defined AOTF surface. Simulation result shows that the proposed method provides AOTF imaging spectrometer with great conveniences, which reduces the lateral chromatic aberration to less than 0. 000 3 degrees and improves by one order of magnitude, with spectral im- age shift effectively corrected.