固体马赫-曾德尔成像光谱仪反演模型及误差分析

Spectral Inversion Modeling and Manufacture Tolerance Analysis of a Solid Mach-Zehnder Imaging Spectrometer

基于一种固体马赫-曾德尔(Mach-Zehnder)成像光谱仪,从理论上严格推导了其光谱反演模型,通过该光谱反演模型着重分析了反射面平移误差对系统光谱反演带来的影响。运用Zemax软件建立了成像光谱仪的仿真模型,并运用该仿真模型对固体马赫-曾德尔成像光谱系统光谱反演及平移误差推导结果进行了仿真验算。理论推导及仿真结果表明,固体马赫-曾德尔成像光谱仪中反射面的平移误差将对系统的光谱反演结果带来影响,并且光谱的反演误差与两路剪切分光光路中反射面平移误差的总和相关。因此,在固体马赫-曾德尔成像光谱仪的研制过程中,需要严格控制两路平移误差的总和,或通过适当的补偿遏制其对测量结果的影响,提高系统的光谱测量精度。

A spectral inversion model of solid Mach-Zehnder imaging spectrometry is derived strictly. Based on the model, the influences of the reflector translation error on the spectral inversion are analyzed. Zemax software is used to establish the simulation model of the imaging spectrometry. The simulation model is then adopted to simulate the function of solid Mach-Zehnder imaging spectrometry and verify the validity of the theoretical derivation. Both theoretical analyses and simulation results indicate that the reflector translation error of solid Mach-Zehnder imaging spectrometry influences the spectral inversion, and the spectral inversion error relates to the sum of the reflector translation errors in the two shearing light paths. Therefore, it is necessary to strictly control the sum of two translation errors or compensate the measurement errors properly to improve the spectral accuracy of the measurement system.