A technique for computing the spectrograph for astrophysical studies based on the basic input and output parameters of the optical system. In the framework of the proposed technique, it is possible to determine the main properties of the spectrograph components: the focal length of the collimator, the focal length of the projection camera, the blaze angle of the grating, the frequency of the grating. The following parameters are used as the basic ones: the required spectral resolution, the spectral range studied, the spectrograph entrance aperture, the height of the detector in the direction of dispersion, and the available length of the diffraction grating. Recommendations are proposed on the choice of the schematic of the spectrograph based on the computed magnification in the optical system of the device inferred from the basic parameters.

中文翻译：

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基于平面反射衍射光栅的天文光谱仪计算

一种基于光学系统基本输入和输出参数的用于天体研究的光谱仪计算技术。在所提出技术的框架中，可以确定光谱仪组件的主要属性：准直仪的焦距，投影相机的焦距，光栅的闪耀角，光栅的频率。以下参数被用作基本参数：所需的光谱分辨率，研究的光谱范围，光谱仪的入射孔径，检测器在色散方向上的高度以及可用的衍射光栅长度。根据从基本参数得出的设备光学系统中计算出的放大倍数，提出了有关光谱仪示意图选择的建议。