Double-scattering approximation for the bathymetry problem
Vladimir A. Kan, Andrei Sushchenko, E R Lyu · 25th International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics · 2019
The research of bathymetry problem by simulation propagation of an acoustic signal in a fluctuating medium using the equation of radiative transfer has completed. The inverse problem of identifying a function describing the seabottom profile was formulated. In the double-scattering approximation and the narrow directivity pattern of the receiving antenna, the solution of the direct problem has obtained. As a solution of the inverse problem according to single-scattering approximation, a nonlinear differential equation in the сartesian coordinate system (solution1) and ordinary differential equation in the polar coordinate system are obtained (solution2). The regularization of Solution2 was investigated. Numerical analysis of the influence of the double-scattering approximation on the solution are carried out.