傅里叶变换光谱成像仪光谱传递函数研究

根据光学传递函数理论，定义了光谱成像仪的光谱传递函数. 针对基于Michelson干涉仪的时间调制傅里叶变换（FT）光谱成像仪，基于Sagnac干涉仪、Fresnel干涉仪、Lloyd干涉仪的空间调制FT光谱成像仪，推导出相应的光谱调制传递函数和光谱相位传递函数解析表达式，并分析了其物理意义. 光谱传递函数为评价相应光谱成像仪在光谱域的性能提供了一种量化的判据. 与空间域的光学传递函数相结合，成为反映光谱成像仪综合性能的客观依据. 关键词： 傅里叶变换 光谱成像仪 光谱传递函数

Spectral transfer function of the Fourier transform spectral imager

The spectral transfer function of the imaging spectrometer is defined on the basis of the linear system theorem. The spectral transfer functions including spectral modulation transfer functions and the spectral phase transfer functions of the temporally modulated Fourier transform spectral imager based on Michelson interferometer and those of the spatially modulated Fourier transform spectral imagers based on Sagnac interferometer,Fresnel interferometer, and Lloyd interferometer are deduced. These spectral transfer functions could be regarded as an objective criteria in the spectral domain of spectral imagers. Together with the well known optical transfer function, the performance of the imaging spectrometer could be described comprehensively.