静态傅里叶变换光谱仪的机理及干涉条纹的校正

Theory and Correction of Interference Fringe in Static Fourier Transform Spectrometer

针对高速、瞬时光谱测量要求光谱仪的结构简单、装备方便、实时性强的特点,文章介绍了一种静态傅里叶变换光谱仪,并对其原理进行了推导与剖析。针对其调整中出现的干涉条纹的倾斜校正问题,进行了详细的理论分析和干涉条纹模型的数学推导,得出倾斜镜旋转参数和光学元件最小通光口径之间的数学关系,以及倾斜镜旋转参数和干涉条纹旋转参数之间的数学关系。通过利用Matlab7.0数学工具,对所总结推导的干涉条纹模型进行模拟,对所得的各种参数之间的数学关系进行验证。分析结果表明据此数学关系所求得的β角校正精度达到1.4%,是一种有效可行的校正方法。

According to the requirement of spectrometer design, including high-speed, simplified structure, convenient fabrication and real-time measurement, a static Fourier transform spectrometer（SFTS） was introduced and its theory was derived and analyzed. In order to solve the correction problem of tilting interference fringe in the adjustment process of SFTS, mathematical derivation of the model of interference fring was systematically summarized. Meanwhile, the mathematical relationship between the rotation parameter of tilting mirror and the minimum clear aperture and that between the rotation parameter of tilting mirror and the rotation parameter of interference fringe were obtained by mathematical derivation. Besides, by using Matlab, the model of interference fringe was simulated, and the correction formula for monochromatic light was proofed. The simulation results show that the precision of tilting angle correction is 1.4%, suggesting that it is a feasible and effective correction method.