V.I. Kazakov1

1 St. Petersburg State University of Aerospace Instrumentation (St. Petersburg, Russia)

1 vasilykazakov@mail.ru

Problem Statement. The spectrometer resolution varies within one diffraction order, and the spectral sensitivity of the spectrometer's CCD arrays is also non -uniform. This requires the development of mathematical procedures for correcting photodetection results in spectrometers.

Objective. To develop a universal mathematical model for correcting spectrum reading results in a diffraction spectrometer.

Results. A mathematical model and an algorithm for digital correction of spectroscopic data recorded by a diffraction optical spectrometer have been developed. The introduction of the correction procedure is due to the non-uniformity of the formed spatial distribution of spectra in different diffraction orders, as well as the variability of the parameters of the instrumental function of the device within the spectral range under study. The proposed model reflects the key features of recording the spectral distribution of radiation and takes into account the non-linear dependence between the spectral frequency and the coordinate in the plane of a multi-element photodetector (CCD array). Based on the developed algorithm, software has been implemented that corrects the results of spectroscopic measurements. The correction includes both the conversion of the spatial to the spectral frequency scale and the consideration of variations in the sensitivity of the photodetector. The results of the numerical implementation of the algorithm are presented and its effectiveness is confirmed using the example of measuring the spectrum of a reference radiation source.

Practical significance. The obtained results allow to significantly increase the accuracy and reliability of spectral analysis in devices of this class.

Kazakov V.I. Correction of measurement results in a diffraction optical spectrometer: mathematical model and numerical implementation. Dynamics of complex systems. 2026. V. 20. № 2. P. 46−54. DOI: 10.18127/j19997493-202602-05 (in Russian).

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