Near-field imaging of an unbounded elastic rough surface with a direct imaging method
Numerical Analysis
2018-04-17 v1
Abstract
This paper is concerned with the inverse scattering problem of time-harmonic elastic waves by an unbounded rigid rough surface. A direct imaging method is developed to reconstruct the unbounded rough surface from the elastic scattered near-field Cauchy data generated by point sources. A Helmholtz-Kirchhoff-type identity is derived and then used to provide a theoretical analysis of the direct imaging algorithm. Numerical experiments are presented to show that the direct imaging algorithm is fast, accurate and robust with respect to noise in the data.
Keywords
Cite
@article{arxiv.1804.05496,
title = {Near-field imaging of an unbounded elastic rough surface with a direct imaging method},
author = {Xiaoli Liu and Bo Zhang and Haiwen Zhang},
journal= {arXiv preprint arXiv:1804.05496},
year = {2018}
}