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Volume 43, Issue 2
Near-Field Imaging of an Inhomogeneous Cavity with a Modified Factorization Method

Yanli Cui, Fenglong Qu & Xiliang Li

DOI: 10.4208/jcm.2210-m2022-0002

J. Comp. Math., 43 (2025), pp. 394-412.

Published online: 2024-11

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  • Abstract

This paper is concerned with the inverse problem of scattering of time-harmonic acoustic waves by an inhomogeneous cavity. We shall develop a modified factorization method to reconstruct the shape and location of the interior interface of the inhomogeneous cavity by means of many internal measurements of the near-field data. Numerical examples are carried out to illustrate the practicability of the inversion algorithm.

  • Keywords

Inverse problems, Acoustic scattering, Numerical reconstruction, Inhomogeneous cavity.

  • AMS Subject Headings

35R30, 35Q60, 35P25, 78A46

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-43-394, author = {Cui , YanliQu , Fenglong and Li , Xiliang}, title = {Near-Field Imaging of an Inhomogeneous Cavity with a Modified Factorization Method}, journal = {Journal of Computational Mathematics}, year = {2024}, volume = {43}, number = {2}, pages = {394--412}, abstract = {

This paper is concerned with the inverse problem of scattering of time-harmonic acoustic waves by an inhomogeneous cavity. We shall develop a modified factorization method to reconstruct the shape and location of the interior interface of the inhomogeneous cavity by means of many internal measurements of the near-field data. Numerical examples are carried out to illustrate the practicability of the inversion algorithm.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.2210-m2022-0002}, url = {http://global-sci.org/intro/article_detail/jcm/23543.html} }
TY - JOUR T1 - Near-Field Imaging of an Inhomogeneous Cavity with a Modified Factorization Method AU - Cui , Yanli AU - Qu , Fenglong AU - Li , Xiliang JO - Journal of Computational Mathematics VL - 2 SP - 394 EP - 412 PY - 2024 DA - 2024/11 SN - 43 DO - http://doi.org/10.4208/jcm.2210-m2022-0002 UR - https://global-sci.org/intro/article_detail/jcm/23543.html KW - Inverse problems, Acoustic scattering, Numerical reconstruction, Inhomogeneous cavity. AB -

This paper is concerned with the inverse problem of scattering of time-harmonic acoustic waves by an inhomogeneous cavity. We shall develop a modified factorization method to reconstruct the shape and location of the interior interface of the inhomogeneous cavity by means of many internal measurements of the near-field data. Numerical examples are carried out to illustrate the practicability of the inversion algorithm.

Cui , YanliQu , Fenglong and Li , Xiliang. (2024). Near-Field Imaging of an Inhomogeneous Cavity with a Modified Factorization Method. Journal of Computational Mathematics. 43 (2). 394-412. doi:10.4208/jcm.2210-m2022-0002
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