ISSN 0021-3454 (print version)
ISSN 2500-0381 (online version)
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5
Issue
vol 60 / MAY, 2017
Article
UDC 535.33+519.642.3+517.983.54+519.682

APPLICATION OF REFERENT EXAMPLES PROCEDURE TO THE INVERSE SPECTROSCOPY PROBLEM SOLUTION BY A REGULARIZATION METHOD

A. V. Krivykh
ITMO University; student


V. S. Sizikov
ITMO University, Saint Petersburg, 197101, Russian Federation; Professor


Abstract. The inverse spectroscopy problem (restoration of the true spectrum from a measured spectrum with a known instrument function of the spectrometer by solving the first-kind Fredholm integral equation) is considered. Tikhonov regularization method is used to obtain a stable numerical solution to the being ill-posed problem equation, and the regularization parameter is chosen on the base of solutions for referent model problems. Numerical examples are presented.
Keywords: inverse problem of spectroscopy, integral equation, Tikhonov regularization method, a modeling way, spectrometer resolution, MatLab