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高分辨率反射式转镜干涉光谱仪是一种新型傅里叶变换光谱仪,它利用倾斜旋转镜的转动产生非线性的光程差(OPD)。光程差的研究对于干涉光谱仪的性能指标分析、设计和研制具有重要意义。在介绍反射式转镜干涉光谱仪的原理基础上,描述了利用基于马吕斯定律的光线追迹法和基于镜面成像原理的像点法分析其光程差的方法。利用光线追迹法导出了任意时刻光程差的表达式,分析了影响光程差的因素和影响最大光程差的因素及其权重。像点法直接利用计算机仿真计算,是一种新的分析光程差的方法。计算结果表明,光程差与主、次转镜中心之间的空间距离、转镜倾斜角以及光线入射角密切相关;同时,用这两种方法计算光程差行之有效且结果一致。
High-resolution reflective mirror interference spectrometer is a new type of Fourier transform spectrometer, which uses tilt rotation mirror to produce nonlinear optical path difference (OPD). The study of optical path difference is of great significance to the performance analysis, design and development of interference spectrometer. Based on the introduction of the principle of reflection mirror interference spectrometer, the method of analyzing the optical path difference by using the ray tracing method based on Marius’s law and the image point method based on the principle of specular imaging is described. The expression of optical path difference at any time is deduced by ray tracing method. The factors affecting the optical path difference and the factors affecting the maximum optical path difference are analyzed. Point-like method directly using computer simulation is a new method of analyzing optical path difference. The calculation results show that the optical path difference is closely related to the spatial distance between the center of the primary mirror and the secondary mirror, the tilt angle of the mirror, and the incident angle of the light. Meanwhile, the optical path difference calculated by the two methods is effective and consistent.