A non-iterative sampling method for inverse elastic wave scattering by rough surfaces
Analysis of PDEs
2020-12-15 v1
Abstract
Consider the two-dimensional inverse elastic wave scattering by an infinite rough surface with a Dirichlet boundary condition. A non-interative sampling technique is proposed for detecting the rough surface by taking elastic wave measurements on a bounded line segment above the surface, based on reconstructing a modified near-field equation associated with a special surface, which generalized our pervious work for the Helmholtz equation (SIAM J. IMAGING. SCI. 10(3)(2017), 1579-1602) to the Navier equation. Several numerical examples are carried out to illustrate the effectiveness of the inversion algorithm.
Cite
@article{arxiv.2012.06832,
title = {A non-iterative sampling method for inverse elastic wave scattering by rough surfaces},
author = {Tielei Zhu and Jiaqing Yang},
journal= {arXiv preprint arXiv:2012.06832},
year = {2020}
}
Comments
19 pages, 13 figures