Two methods of reconstructing spectrum of any radiation are described which are based on the intensity distribution measurement of Fraunhofer diffraction patterns by a single slit and an array of slits. Mathematically they consist of solving integral equations. The apparatus for the measurement is simple compared with the Fourier spectrometer for the Fabry-Perot interferometer. While these methods retain the Fellgett advantage, they lose the Jacquinot advantage. The procedure of calculation and the results by the computer experiment are presented for the far infrared spectrum.
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