Determination of the bottom surface profile

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

doi:10.1117/12.2288753

30 November 2017 Determination of the bottom surface profile

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

Proceedings Volume 10466, 23rd International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics; 1046622 (2017) https://doi.org/10.1117/12.2288753
Event: XXIII International Symposium, Atmospheric and Ocean Optics, Atmospheric Physics, 2017, Irkutsk, Russian Federation

Abstract

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 single-scattering approximation and the narrow directivity pattern of the receiving antenna, the solution of the direct problem is obtained. As a solution to the inverse problem, a nonlinear differential equation is obtained for a function describing the deviation of the bottom relief. A numerical analysis of the solution of the equation is carried out. The dependence of the reconstruction of the lower surface on the curvature of the function describing the relief is shown.

Citation Download Citation

E. R. Lyu, V. A. Kan, I. V. Prokhorov, and A. A. Sushchenko "Determination of the bottom surface profile", Proc. SPIE 10466, 23rd International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics, 1046622 (30 November 2017); https://doi.org/10.1117/12.2288753

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