TY - JOUR
T1 - Numerical Reconstruction of Locally Rough Surfaces with a Newton Iterative Algorithm
AU - Liu , Meng
AU - Yang , Jiaqing
JO - Communications in Computational Physics
VL - 3
SP - 884
EP - 911
PY - 2023
DA - 2023/04
SN - 33
DO - http://doi.org/10.4208/cicp.OA-2022-0171
UR - https://global-sci.org/intro/article_detail/cicp/21663.html
KW - Newton iterative algorithm, Fréchet derivative, inverse scattering, locally rough surface, Dirichlet condition, impedance condition, multi-frequency data.
AB - <p style="text-align: justify;">In this paper, we propose a Newton iterative algorithm to numerically reconstruct a locally rough surface with Dirichlet and impedance boundary conditions
by near-field measurements of acoustic waves. The algorithm relies on the Fréchet differentiability analysis of the locally rough surface scattering problem, which is established by reducing the original model into an equivalent boundary value problem
with compactly supported boundary data. With a slight modification, the algorithm
can be also extended to reconstruct the local perturbation of a non-local rough surface.
Finally, numerical results are presented to illustrate the effectiveness of the inversion
algorithm with the multi-frequency data.</p>