Computation of Astronomical Spectrograph Based on a Flat Reflective Diffraction Grating

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.