Sagnac棱镜角公差与干涉光谱仪光谱分辨率的关系分析

根据干涉成像光谱仪光谱分辨率对角向差的要求，通过对实体Sagnac干涉仪结构和光路进行分析，从三个相互垂直的方向出发，研究了光谱分辨率和棱镜角公差之间存在的关系；并推导了满足光谱仪光谱分辨率要求的实体Sagnac干涉棱镜的角公差公式；用实例说明了关系式的应用方法，如果不考虑棱镜变形引起的色散及棱镜的面型误差和付氏镜的残余像差的影响,而只考虑棱镜的角误差对光谱分辨率的影响,则通常情况下干涉棱镜的角公差要求较严，约20″以内.

The Analysis of the Relationship between Angle Tolerance of Sagnac Prism and the Spectrum Differentiation of the Interferometer Spectrometer

The principle of the Sagnac imaging spectrometer was introduced,and the Sagnac interferometers' working way in the imaging spectrometer was illustrated. In this thesis,the structure of the solid Sagnac interferometer were analyzed,and discussion were made which based on the angle error directions' formulas which the spectral resolution of imaging spectrometer required the angle direction error of FT lens have to be met. From three vertical directions the rays were studied which passed through the two prisms adhered by glue,the pathway variation of the rays in the entitative Sagnac interferometer,and were aralyzed the relation by formulas between the spectral resolution and the angle deviation of the prisms were shown;the angle error formulas of the entitative Sagnac interferometer prisms were deduced which could meet the requirement of the spectral resolution of the interferometer spectroscopy;using examples to show the applying method of the formulas. If the dispersive induced by deforming of the shape of the prism and error of surfaces shape of the prism were neglected,only when the angle error of the prism were accounted,the angle error of the prisms should be strictly required,generally it should be less than 20″.