色散型光谱仪采样调制传递函数及对高斯型光谱谱线的影响

光电探测器参数的选择对色散型光谱仪性能具有重要影响,有必要对光谱仪中光电探测器的离散采样过程进行深入探讨.文章从频率域的角度出发,建立了采样模型,探讨了输入余弦信号的空间频率、光电探测器采样的像元宽度及像元的初始相位对采样结果的影响.引入取整函数,给出了统一的采样调制传递函数表达式,提出并计算了平均采样调制传递函数,消去了初始相位的影响,便于实际应用.对于色散型光谱仪光学系统产生的典型高斯型光谱谱线,将高斯谱线的傅里叶变换与平均采样调制传递函数相乘,得出了光谱仪整系统的调制传递函数表达式.在频率域分析了采样过程的平均混叠误差与空间频率的关系,研究了平均混叠误差极大值与高斯光谱谱线宽度的关系,并给出了要精确恢复谱线所需谱线宽度的阈值.该阈值对于光谱仪系统的光学参数选择有重要的参考意义.

The Analysis of the Sampling Modulation Transfer Function and the Influence on the Gaussian Spectra

As the parameters of the photoelectric detector have important effects on the performance of the dispersive spectrometers,it is necessary to detail the discrete sampling process of the photoelectric detector array.In the present paper,the sampling model was setup,and the effects on the sampling results caused by the spatial frequency of the cosine signal,the width of the sampling pixel,and the initial phase of the sampling pixel position to the crest of the input cosine signal were discussed thoroughly in t...