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为提高分光仪器的性能,采用两个椭球面镜和一个椭球面消像差光栅分光。光源发出的光线被第一个椭球面镜反射,产生特定的波前,经过光栅衍射以后,不同波长的光波被第二个椭球面镜汇聚到探测器的不同位置上。系统具有复杂的像差特性和成像特性,根据费马原理,参考第二代全息变线距光栅的制作光路和理论,建立坐标系,定义两个椭球面上的入射角和反射角,确定各元件的位置变量,确立基本几何关系,将光程函数分为两部分:由衍射引起的光程变化和几何位置引起的光程变化,将两部分都按级数展开,给出了高阶像差的解析形式。对于平面、柱面、球面光栅和反射镜也可以使用这些公式。像差的解析式和光路也可以用于各种分光仪器中。
In order to improve the performance of the spectrometer, two ellipsoidal mirrors and one ellipsoid-shaped aberration grating are used. The light emitted by the light source is reflected by the first ellipsoid mirror to produce a specific wavefront. After grating diffraction, the light waves of different wavelengths are converged by the second ellipsoidal mirror to different positions on the detector. The system has complex aberration characteristics and imaging characteristics. According to the Fermat’s principle, reference to the fabricated optical path and theory of the second generation holographic variable pitch grating, the coordinate system is established, and the angles of incidence and reflection on the two ellipsoid surfaces are defined. Component position variables to establish the basic geometric relationship, the optical path function is divided into two parts: optical path changes caused by diffraction and optical path length changes caused by the geometric position, the two parts are developed by the series, gives a high-order image Poor analytical form. These formulas can also be used for flat, cylindrical, spherical gratings and mirrors. The aberration resolution and the optical path can also be used in various spectroscopic instruments.