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JOURNALS // Dal'nevostochnyi Matematicheskii Zhurnal // Archive

Dal'nevost. Mat. Zh., 2019 Volume 19, Number 2, Pages 206–222 (Mi dvmg409)

This article is cited in 2 papers

Determination of the coefficient of bottom scattering during multi-beam sounding of the ocean

Е. О. Kovalenkoab, I. V. Prokhorovab

a Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok
b Far Eastern Federal University, Vladivostok

Abstract: Mathematical problems of constructing sonar images of the seabed according to measurements of a multi-beam side-scan sonar are considered. In the framework of the model based on the non-stationary equation of radiation transfer, the inverse problem of finding the bottom scattering coefficient is investigated. A new method is proposed for solving the inverse problem under the assumption of single scattering and pulsed sounding mode. A numerical analysis of the quality of the images of the seabed is carried out depending on the number of sensing angles, the width of the radiation pattern of the receiving antennas and the level of volume scattering in the medium.

Key words: radiative transfer equation, inverse problem, bottom and volume scattering, multi-beam sounding.

UDC: 517.958

MSC: Primary 35Q20; Secondary 35Q60

Received: 03.10.2019



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