TY - JOUR
T1 - Simultaneously Imaging an Inhomogeneous Conductive Medium and Various Impenetrable Obstacles
AU - Qu , Fenglong
AU - Wang , Yuhao
AU - Gao , Zhen
AU - Cui , Yanli
JO - Journal of Computational Mathematics
VL - 4
SP - 771
EP - 790
PY - 2025
DA - 2025/07
SN - 43
DO - http://doi.org/10.4208/jcm.2401-m2023-016
UR - https://global-sci.org/intro/article_detail/jcm/24260.html
KW - Inverse acoustic scattering, Modified factorization method, Numerical reconstruction, Inhomogeneous medium.
AB - <p style="text-align: justify;">Consider the inverse scattering of time-harmonic acoustic waves by a mixed-type scatterer consisting of an inhomogeneous penetrable medium with a conductive transmission condition and various impenetrable obstacles with different kinds of boundary conditions. Based on the establishment of the well-posedness result of the direct problem, we intend to develop a modified factorization method to simultaneously reconstruct both the support of the inhomogeneous conductive medium and the shape and location of various impenetrable obstacles by means of the far-field data for all incident plane waves at a fixed wave number. Numerical examples are carried out to illustrate the feasibility and effectiveness of the proposed inversion algorithms.</p>