Geodesic
Reconstruction of vertical profiles of heavy water in atmosphere by IR–spectra of the solar light transmission
Eurasian journal of mathematical and computer applications, Tome 6 (2018) no. 1, pp. 56-64

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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. 
@article{EJMCA_2018_6_1_a5,
     author = {G. G. Skorik},
     title = {Reconstruction of vertical profiles of heavy water in atmosphere by {IR{\textendash}spectra} of the solar light transmission},
     journal = {Eurasian journal of mathematical and computer applications},
     pages = {56--64},
     publisher = {mathdoc},
     volume = {6},
     number = {1},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJMCA_2018_6_1_a5/}
}
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G. G. Skorik. Reconstruction of vertical profiles of heavy water in atmosphere by IR–spectra of the solar light transmission. Eurasian journal of mathematical and computer applications, Tome 6 (2018) no. 1, pp. 56-64. http://geodesic.mathdoc.fr/item/EJMCA_2018_6_1_a5/