@Article{CiCP-19-1317,
author = {Tao Yin, Guanghui Hu and Liwei Xu},
title = {Near-Field Imaging Point-Like Scatterers and Extended Elastic Solid in a Fluid},
journal = {Communications in Computational Physics},
year = {2018},
volume = {19},
number = {5},
pages = {1317--1342},
abstract = {<p style="text-align: justify;">Consider the time-harmonic acoustic scattering from an extended elastic
body surrounded by a finite number of point-like obstacles in a fluid. We assume
point source waves are emitted from arrayed transducers and the signals of scattered
near-field data are recorded by receivers not far away from the scatterers (compared
to the incident wavelength). The forward scattering can be modeled as an interaction
problem between acoustic and elastic waves together with a multiple scattering problem
between the extend solid and point scatterers. We prove a necessary and sufficient
condition that can be used simultaneously to recover the shape of the extended elastic
solid and to locate the positions of point scatterers. The essential ingredient in our
analysis is the outgoing-to-incoming (OtI) operator applied to the resulting near-field
response matrix (or operator). In the first part, we justify the MUSIC algorithm for locating
point scatterers from near-field measurements. In the second part, we apply the
factorization method, the continuous analogue of MUSIC, to the two-scale scattering
problem for determining both extended and point scatterers. Numerical examples in
2D are demonstrated to show the validity and accuracy of our inversion algorithms.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.scpde14.17s},
url = {http://global-sci.org/intro/article_detail/cicp/11131.html}
}