This article is cited in 1 paper

Computational mathematics

Analysis of surface and volume scattering in the problem of seabottom sounding

S. Yu. Zinkov^a, A. A. Sushchenko^ba, K. V. Sushchenko<sup>a

a</sup> Far Eastern Federal University, Sukhanova st., 8, 690950, Vladivostok, Russia
^b Institute of Applied Mathematics FEB RAS, Radio st., 7, 690041, Vladivostok, Russia

Abstract: We consider the problem of seabottom reconstruction in the fluctuating ocean when the coefficients of seabootom and ocean's surface scattering are known. We studied the kinetic model of acoustic transfer radiation for solving it. The explicit formula for determination of the seabottom scattering coefficient is deduced in the case of single scattering approximation and some assumptions for the directivity pattern of the receiving antenna. Numerical experiments are done.

Keywords: radiative transfer equation, volume scattering, side-scan sonar, directivity pattern, diffusion scattering.

UDC: 517.958

MSC: 35Q72

Received March 16, 2017, published November 2, 2018

DOI: 10.17377/semi.2018.15.112

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