在以多级微反射镜为核心器件的静态傅里叶变换红外光谱仪中，基于传统单孔径透镜组结构的缩束系统由于口径较大、透镜数量较多和整体尺寸较长等原因，其体积和重量在整个光谱仪中占有很大的比重，严重制约了光谱仪的微小型化和轻量化进程。而复眼系统以其结构紧凑、体积小、重量轻等优点有助于解决这一问题。根据三维矩阵光学理论计算了由3个微透镜阵列组成的复眼缩束系统的初始结构参数，设计了消杂光光阑阵列，并使用光学设计软件对初始结构进行了优化。最后，借助光学分析软件，对光谱仪系统进行了干涉图和光谱复原理论分析，结果显示所设计的复眼缩束系统能满足光谱仪系统的应用要求。

In a stepped-mirror-based static Fourier transform infrared spectrometer, the expansion lenses based on classical lenses has several lenses, large aperture and overall length, and its volume and mass have major proportion comparing to the whole system. That limits the development of micro- miniature and lightweight spectrometer seriously. However, compound eye is helpful to solve the problem because it has these advantages including of compact structure, smaller volume and lighter weight. In this paper, the structure parameters of compound eye consist of three microlens arrays are analyzed by the method of matrix formalism and optimized by optics design software, and the stop array for weaken the stray light is designed. Finally, the interferogram and the recovered spectrum of the spectrometer are obtained by the ray tracing software, and the result shows that the designed expansion compound eye can meet the application requirement of the spectrometer.