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。 Based on a solid Mach-Zehnder imaging spectrometer, its spectral inversion model is strictly deduced theoretically. The spectral inversion model focuses on the analysis of the effects of the translational plane translation errors on the spectral inversion of the system . The simulation model of imaging spectrometer was established by using Zemax software. The simulation results of spectral inversion and translation error of solid Mach-Zehnder imaging system were calculated by using the simulation model. The theoretical derivation and simulation results show that the translational error of the reflective surface in the solid Mach-Zehnder imaging spectrometer will affect the spectral inversion results of the system, and the error of the spectral inversion and the translational plane translation error of the two- Related to the sum of Therefore, in the process of developing the solid Mach-Zehnder imaging spectrometer, it is necessary to strictly control the sum of two translational errors or to restrain its influence on the measurement results by appropriate compensation so as to improve the spectral measurement accuracy of the system.