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Volume 43, Issue 4
Simultaneously Imaging an Inhomogeneous Conductive Medium and Various Impenetrable Obstacles

Fenglong Qu, Yuhao Wang, Zhen Gao & Yanli Cui

DOI: 10.4208/jcm.2401-m2023-016

J. Comp. Math., 43 (2025), pp. 771-790.

Published online: 2025-07

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  • Abstract

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.

  • Keywords

Inverse acoustic scattering, Modified factorization method, Numerical reconstruction, Inhomogeneous medium.

  • AMS Subject Headings

35R30, 35Q60, 35P25, 78A46

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-43-771, author = {Qu , FenglongWang , YuhaoGao , Zhen and Cui , Yanli}, title = {Simultaneously Imaging an Inhomogeneous Conductive Medium and Various Impenetrable Obstacles}, journal = {Journal of Computational Mathematics}, year = {2025}, volume = {43}, number = {4}, pages = {771--790}, abstract = {

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.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.2401-m2023-016}, url = {http://global-sci.org/intro/article_detail/jcm/24260.html} }
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 -

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.

Qu , FenglongWang , YuhaoGao , Zhen and Cui , Yanli. (2025). Simultaneously Imaging an Inhomogeneous Conductive Medium and Various Impenetrable Obstacles. Journal of Computational Mathematics. 43 (4). 771-790. doi:10.4208/jcm.2401-m2023-016
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