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Dal'nevostochnyi Matematicheskii Zhurnal, 2022, Volume 22, Number 2, Pages 263–268
DOI: https://doi.org/10.47910/FEMJ202237 (Mi dvmg500) 		 
On the problem of determining the scattering coefficient in frequency modulated sounding of a medium

P. A. Vornovskikha, E. V. Ermolaevb, I. V. Prokhorova

a Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok
b Far Eastern Federal University, Vladivostok
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DOI: https://doi.org/10.47910/FEMJ202237
Abstract: Within the framework of the kinetic model of the transfer of linear frequency modulated radiation in a scattering medium, an inverse problem is formulated, which consists in determining the volume scattering coefficient of sound. Additional information in the problem is the frequency-averaged angular distribution of the radiation flux density at a given point in space. An analytical solution of the inverse problem is obtained in the single scattering approximation.
Key words: radiative transfer equation, linear frequency modulated sounding, scattering coefficient, inverse problem.
Funding agency Grant number
Russian Foundation for Basic Research 20-01-00173
Ministry of Science and Higher Education of the Russian Federation 075-00771-22-00
075-02-2022-880
This work was supported by the Russian Foundation for Basic Research (Project No. 20-01-00173) and by the Ministry of Science and Higher Education of the Russian Federation (Agreements No. 075-00771-22-00 and 075-02-2022-880).
Received: 16.06.2022
Bibliographic databases:
Document Type: Article
UDC: 517.958
MSC: Primary 35Q20; Secondary 35Q60
Language: English
Citation: P. A. Vornovskikh, E. V. Ermolaev, I. V. Prokhorov, “On the problem of determining the scattering coefficient in frequency modulated sounding of a medium”, Dal'nevost. Mat. Zh., 22:2 (2022), 263–268
Citation in format AMSBIB
\Bibitem{VorErmPro22}
\by P.~A.~Vornovskikh, E.~V.~Ermolaev, I.~V.~Prokhorov
\paper On the problem of determining the scattering coefficient in frequency modulated sounding of a medium
\jour Dal'nevost. Mat. Zh.
\yr 2022
\vol 22
\issue 2
\pages 263--268
\mathnet{http://mi.mathnet.ru/dvmg500}
\crossref{https://doi.org/10.47910/FEMJ202237}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4529971}
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