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