TY - JOUR
T1 - Reconstruction of a Locally Rough Interface and the Embedded Obstacle with the Reverse Time Migration
AU - Li , Jianliang
AU - Wu , Hao
AU - Yang , Jiaqing
JO - Communications in Computational Physics
VL - 5
SP - 1452
EP - 1479
PY - 2025
DA - 2025/05
SN - 37
DO - http://doi.org/10.4208/cicp.OA-2023-0296
UR - https://global-sci.org/intro/article_detail/cicp/24100.html
KW - Inverse acoustic scattering, locally rough interfaces, embedded obstacles, reverse time migration.
AB - <p style="text-align: justify;">Consider the inverse problem of time-harmonic acoustic scattering by an
unbounded locally rough interface with bounded obstacles embedded in the lower
half-space. An extended reverse time migration (RTM) is proposed to simultaneously
reconstruct the locally rough interface and embedded obstacles. By constructing a
modified Helmholtz-Kirchhoff identity associated with a planar interface and a mixed
reciprocity relation, we propose two new imaging functionals with using both the
near-field and far-field measurements. It is shown that the imaging functionals always
peak on the local perturbation of the interface and the embedded obstacle. Thus, the
two imaging functional can be used to reconstruct the location and shape of the rough
surface and the embedded obstacle. Numerical examples are presented to demonstrate
the effectiveness of the method.</p>