Paper
12 November 2020 Reconstruction of the Lambertian surface in a weakly scattering medium
Author Affiliations +
Proceedings Volume 11560, 26th International Symposium on Atmospheric and Ocean Optics, Atmospheric Physics; 1156024 (2020) https://doi.org/10.1117/12.2575637
Event: 26th International Symposium on Atmospheric and Ocean Optics, Atmospheric Physics, 2020, Moscow, Russian Federation
Abstract
The problem of determining the sea bottom surface using a model that describes the process of radiation transfer in a randomly inhomogeneous medium was investigated. In the case of single scattering approximation, a pulsed source and the reflective properties of the reconstructable boundary obey Lambert's cosine law. As a result, a solution of the inverse problem is obtained in the form of a nonlinear differential equation for a curve function describing the bottom profile. An algorithm for solving the inverse problem based on explicit and implicit numerical schemes is developed. Using synthetic data, computational experiments were conducted comparing two approaches to solving the problem. An analysis of the effect of volume scattering on the restoration of the sea bottom surface was carried out using different methods for solving the nonlinear differential equation.
© (2020) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
V. A. Kan, A. A. Sushchenko, E. R. Liu, and P. A. Vornovskikh "Reconstruction of the Lambertian surface in a weakly scattering medium", Proc. SPIE 11560, 26th International Symposium on Atmospheric and Ocean Optics, Atmospheric Physics, 1156024 (12 November 2020); https://doi.org/10.1117/12.2575637
Advertisement
Advertisement
RIGHTS & PERMISSIONS
Get copyright permission  Get copyright permission on Copyright Marketplace
KEYWORDS
Scattering

Inverse problems

Differential equations

Mathematical modeling

Acoustics

Reflectivity

Remote sensing

RELATED CONTENT

Problem of multibeam remote sensing of sea bottom
Proceedings of SPIE (December 18 2019)
Double-scattering approximation for the bathymetry problem
Proceedings of SPIE (December 18 2019)
Determination of the bottom surface profile
Proceedings of SPIE (November 30 2017)
Remote sensing of the sea bottom
Proceedings of SPIE (December 15 2021)

Back to Top