This article is cited in 14 papers

On a problem of reconstructing the bottom configuration of a fluctuating ocean

I. V. Prokhorov^ab, A. A. Sushchenko^ab, V. A. Kan<sup>ba

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

Abstract: We formulated and investigate an inverse problem for nonstationary radiative transfer equation in application to the acoustic map making of the sea bottom with the use of side-scan sonars. In the single scattering approximation, we obtain a formula for determining the function that describes the small deviation of the surface from the bottom from a medium level.

Keywords: radiative transfer equation, inverse problems, bottom configuration, single-scattering approximation.

UDC: 517.958

Received: 24.03.2015

DOI: 10.17377/sibjim.2015.18.210

 English version: Journal of Applied and Industrial Mathematics, 2015, 9:3, 412–422

Bibliographic databases:

• 
•