CONTINUOUS SPECTRA RESTORATION BY AN ADAPTIVE WAY OF COMPUTING EXPERIMENTS WITH REGULARIZATION

Autor:	V. S. Sizikov, A. V. Krivykh
Jazyk:	English<br />Russian
Rok vydání:	2013
Předmět:	continuous spectrum inverse spectroscopy problem integral equation Tikhonov regularization method way of computing experiments spectrometer resolving power enhancement Optics. Light QC350-467 Electronic computers. Computer science QA75.5-76.95
Zdroj:	Naučno-tehničeskij Vestnik Informacionnyh Tehnologij, Mehaniki i Optiki, Vol 13, Iss 3, Pp 22-28 (2013)
Druh dokumentu:	article
ISSN:	2226-1494 2500-0373
Popis:	The article deals with inverse spectroscopy problem - restoration of continuous spectra by mathematical treatment of measured spectra, distorted by the spectrometer instrument function and noises. The problem is reduced to solution of the first-kind Fredholm integral equation. This problem is illegal; therefore, the Tikhonov regularization method is used for stable numerical solving of the equation. Furthermore, the adaptive way of computing experiments is used, according to which, one treats the model spectrum Q with prescribed true spectrum z and simulated measured spectrum u with regard to additional (a priori) information about the true spectrum P. This makes it possible to choose the regularization parameter a. The proposed technique can be used to enhance the spectrometer resolving power. Numerical illustrations are given.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/cb1d7c87566840cbb0e2d9976b027afa Zobrazit plný text záznamu View record in DOAJ