New Method of Determining Spectral Line Profile Using the Fabry-Perot Interferometer

概要

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By solving an integral equation associated with the interferogram of the Fabry-Perot interferometer numerically, it is possible to reconstruct spectral lines of various profiles. The theory of Hilbert and Schmidt is applied, in which a pair of integral equations arc solved and the spectral line profile is reconstructed using their eigenfunctions and eigen values. The resolution is 0.004 cm^<-1> at about 20000 cm^<-1> when the optical path difference varies from 5×10^3 μm to 5×10^3+0.4 μm, for instance, by pressure-scanning. The range of wave number is 0.4 cm^<-1> and the reflectivity is 0.95. It is confirmed that this method gives satisfactory results in the presence of noise of Gaussian distribution of which standard deviation is 2.5×10^<-4>.
社団法人応用物理学会の論文
1986-11-20