TREATMENT AND INTERPRETATION OF EXPERIMENTAL-DATA IN APPLIED SPECTROSCOPY

The paper describes current methods of treatment and interpretation of experimental data in applied spectroscopy. The issue is reduced to th e solution of an inverse problem, which frequently proves to be an ill -posed problem of mathematical physics. To solve such problems one mus t use a priori information on the solution obtained by the experimente r (regularization of solution). The methods of solution of such one-di mensional and multidimensional problems as smoothing, differentiation (including fractional), allowance for instrument distortions, solution of Abel's and Radon's equations (emission tomography), reduction prob lems in plasma spectroscopy and atomic absorption, decomposition of an alytical signals to elementary components (Lorentzian, Gaussian, expon ential), determination of components in CARS - spectra are considered in unified terms. The efficiency of the suggested algorithms are demon strated by a number of mathematical experiments.