迈克耳孙干涉仪中的动镜倾斜分析和仿真

Analysis and Simulation of Moving Mirror Tilt in Michelson Interferometer

针对迈克耳孙干涉仪中的动镜倾斜问题,通过干涉理论分析了矩形和圆形通光孔径下干涉调制度的影响因素。仿真结果表明,干涉调制度与通光孔径r、波数■和倾斜角度θ有关。为了确保干涉仪的性能,干涉调制度应不低于90%。当波长为λ时,矩形和圆形孔径的动镜倾斜角度θ_(max)应分别小于等于λ/(16r)、λ/(14r)。在动镜倾斜角度控制范围内,用Matlab仿真了单色光对正弦倾斜误差和随机倾斜误差的影响,结果表明,动镜倾斜角度应控制在1″左右,这对光谱仪的结构设计和研制具有一定的参考价值。

Aiming at the moving mirror tilt in the Michelson interferometer,the influence factors of interference modulation degree under the rectangular and circular clear apertures are analyzed by the interference theory. Simulation results show that the interference modulation degree is related with the clear aperture r,wavenumber ■,and tilt angle θ.In order to ensure the performance of the interferometer,the degree of interference modulation should not be less than 90%. When the wavelength is λ,the tilt angle θ_(max)of the moving mirror for the rectangular and circular apertures should be less than or equal to λ/(16 r) and λ/(14 r),respectively. Within the control range of the tilt angle of the moving mirror,Matlab is used to simulate the influence of monochromatic light on the sinusoidal tilt error and random tilt error. The results show that the tilt angle of the moving mirror should be controlled at about 1″, which has certain reference value for the structural design and development of the spectrometer.