Modeling a micro-spectrometer for numerical correction of its metrological parameters

Numerical correction of spectrograms is based on the use of mathematical models of the relationship between a measured spectrum and the output of a spectrometer used for measurements. In this paper, a method for mathematical modeling of the microspectrometer is proposed and discussed. This method is based on decomposition of the spectrometer into functional blocks and on black-box modeling of those blocks. The input-output model of the spectrometer is obtained by combining the mathematical models of its functional blocks. An example of modeling of the micro-spectrometer SD1000 (by Ocean Optics) is given. The superiority of the obtained nonlinear model over a linear one is demonstrated