
Theoretical and practical analysis of spatial and spectral calibration of static Fourier transform infrared spectrometers
Author(s) -
Alain Kattnig
Publication year - 2019
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.27.014819
Subject(s) - superposition principle , optics , calibration , fourier transform , spectrometer , infrared , fourier transform spectroscopy , remote sensing , fourier transform infrared spectroscopy , spatial frequency , fast fourier transform , computer science , physics , algorithm , geology , quantum mechanics
Static Fourier transform spectrometers require, especially in the infrared, a spatial calibration step. Unfortunately, the superposition of fringes on the measured images has a major impact on spatial calibration and therefore on the returned spectra. We first study how to pre-process images so that spectral errors are minimized. Then, we develop a spectrum formation model that is used to correct those spectral errors. The performance, evaluated on synthetic data, is remarkable and theoretically justifies the use of this calibration concept.