TY - JOUR
T1 - An Integral Equation Method for the Scattering by Core-Shell Structures in a Layered Medium
AU - Bao , Gang
AU - Zhang , Lei
JO - CSIAM Transactions on Applied Mathematics
VL - 3
SP - 515
EP - 541
PY - 2023
DA - 2023/04
SN - 4
DO - http://doi.org/10.4208/csiam-am.SO-2022-0040
UR - https://global-sci.org/intro/article_detail/csiam-am/21640.html
KW - Composite scattering, Helmholtz equation, existence and uniqueness, integral equation method.
AB - <p style="text-align: justify;">The core-shell structure design is an important subject in science and engineering, which also plays a key role in wave scattering and target reconstructions.
This work aims to develop a novel boundary integral equation method for solving
the acoustic scattering from a 3D core-shell structure in a two-layered lossy medium.
The boundary integral equation contains continuous and weakly singular kernels.
The well-posedness of the scattering problem is established by combining the integral
equation, variational, and operator theory techniques. The study lays the groundwork
for future numerical methods for layered obstacles and rough surfaces composite scattering and inverse scattering problems.</p>