Double-scattering approximation for the bathymetry problem

V. A. Kan; A. A. Sushchenko; E. R Lyu

doi:10.1117/12.2540982

18 December 2019 Double-scattering approximation for the bathymetry problem

V. A. Kan, A. A. Sushchenko, E. R Lyu

Proceedings Volume 11208, 25th International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics; 112085Q (2019) https://doi.org/10.1117/12.2540982
Event: XXV International Symposium, Atmospheric and Ocean Optics, Atmospheric Physics, 2019, Novosibirsk, Russian Federation

Abstract

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.

Citation Download Citation

V. A. Kan, A. A. Sushchenko, and E. R Lyu "Double-scattering approximation for the bathymetry problem", Proc. SPIE 11208, 25th International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics, 112085Q (18 December 2019); https://doi.org/10.1117/12.2540982

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