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Computational mathematics
Localization of discontinuity surfaces of the scattering coefficient according to the time-angular distribution of the radiation flux density
P. A. Vornovskikhab, I. V. Prokhorova a Institute of Applied Mathematics FEB RAS, str. Radio, 7, Vladivostok, 690041, Russia
b Far Eastern Federal University, 10 Ajax Bay, Russky Island, Vladivostok, 690922, Russia
Abstract:
In the paper the inverse problem for the nonstationary radiative transfer equation is formulated and investigated. It consists in determining the discontinuity surfaces of the scattering coefficient by the time-angular distribution of the radiation flux density at a given point in space. A numerical method for localizing the lines of discontinuity of the required coefficient in any plane is proposed. On a number of numerical experiments applied to high-frequency acoustic sounding of an inhomogeneous fluctuating ocean, the operability of the algorithm is demonstrated and its shortcomings due to the measurement data error are indicated.
Keywords:
radiative transfer equation, inverse problem, scattering coefficient, function discontinuity surfaces.
Received November 1, 2022, published November 16, 2023
Citation:
P. A. Vornovskikh, I. V. Prokhorov, “Localization of discontinuity surfaces of the scattering coefficient according to the time-angular distribution of the radiation flux density”, Sib. Èlektron. Mat. Izv., 20:2 (2023), 1079–1092
Linking options:
https://www.mathnet.ru/eng/semr1630 https://www.mathnet.ru/eng/semr/v20/i2/p1079
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