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Eurasian Journal of Mathematical and Computer Applications, 2018 Volume 6, Issue 1, Pages 56–64 (Mi ejmca99)

Reconstruction of vertical profiles of heavy water in atmosphere by IR–spectra of the solar light transmission

G. G. Skorik

Institute of Mathematic and Mechanic UB RAS, 16 S.Kovalevskaya Str., Yekaterinburg, 620990 Russia

Abstract: A problem of retrieval HDO vertical profiles from IR–spectra of solar light transmission through the atmosphere is investigated. This problem is reduced to the nonlinear integral equation of the first kind. To solve this equation, we propose a method based on the use of the Tikhonov regularization and the iterative process of the Newton type. For real spectra numerical experiments were carried out.

Keywords: Inverse problem, Isotopomers of water vapor, Vertical profiles, Thkhonov regularization.

MSC: 45Q05, 65R32

Received: 27.02.2018
Accepted: 02.03.2018

Language: English

DOI: 10.32523/2306-6172-2018-6-1-56-64



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