Recovery and analysis of Raman spectra obtained using a static Fourier transform spectrometer

The recovery of Raman spectra in the 800-1050-nm spectral range from a prototype static Fourier-transform spectrometer is described. Distortion effects introduced by the optical system of the static Fourier-transform spectrometer are studied. A method of correcting optical distortion is suggested. The proposed algorithm is tested using a monochromatic radiation source. A two-dimensional map of period distribution in the distorted interference pattern is plotted. A mapping that enables optical distortions of the two-dimensional interferogram to be corrected is proposed. The correction results are demonstrated by plotting interference fringe profiles. A comparison of various well-known phase correction methods in order to identify an optimal algorithm is presented. A matching criterion for the obtained spectra is proposed. Raman spectrum of a stilbene crystal obtained by a diffraction spectrometer with a resolution of $\delta\nu = 14$ cm$^{-1}$ is used as a reference.