Open AccessMethods of the Theory of Radiation Transfer for Bathymetry Problems
Author(s) -
A. A. Sushchenko,
E. R. Lyu,
V. A. Kan
Publication year - 2019
Publication title -
iop conference series. earth and environmental science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.179
H-Index - 26
eISSN - 1755-1307
pISSN - 1755-1315
DOI - 10.1088/1755-1315/272/2/022140
Subject(s) - inverse problem , directivity , mathematical analysis , inverse scattering problem , mathematics , plane (geometry) , nonlinear system , transfer function , function (biology) , scattering , antenna (radio) , physics , optics , geometry , computer science , telecommunications , quantum mechanics , evolutionary biology , electrical engineering , biology , engineering
Based on the mathematical model of the propagation of an acoustic signal in a fluctuating medium, the inverse problem is formulated, which includes determination a function that describes the deviation of the bottom level from the average specified horizontal plane. In the double scattering approximation and the narrow directivity pattern of the receiving antenna, the solution of the direct problem is obtained. As a solution of the inverse problem, a nonlinear differential equation is obtained for the function describing the deviation of the seabottom relief. A numerical analysis of the solution is carried out.