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Volume 15, Issue 1
A Direct Sampling Method Based on the Green’s Function for Time-Dependent Inverse Scattering Problems

Qingqing Yu, Bo Chen, Jiaru Wang & Yao Sun

DOI: 10.4208/eajam.2023-269.070124

East Asian J. Appl. Math., 15 (2025), pp. 205-224.

Published online: 2025-01

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  • Abstract

This paper is devoted to numerical simulation of time domain inverse acoustic scattering problems with a point-like scatterer, multiple point-like scatterers or normal size scatterers. Using Green’s functions and time convolution, we propose direct sampling methods to reconstruct the location of the scatterer. The methods involve only integral calculus without solving any equations and are easy to implement. Numerical experiments show the effectiveness and robustness of the methods.

  • Keywords

Inverse scattering problem, time-dependent, direct sampling method, point-like scatterer, Green’s function.

  • AMS Subject Headings

65M32

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{EAJAM-15-205, author = {Yu , QingqingChen , BoWang , Jiaru and Sun , Yao}, title = {A Direct Sampling Method Based on the Green’s Function for Time-Dependent Inverse Scattering Problems}, journal = {East Asian Journal on Applied Mathematics}, year = {2025}, volume = {15}, number = {1}, pages = {205--224}, abstract = {

This paper is devoted to numerical simulation of time domain inverse acoustic scattering problems with a point-like scatterer, multiple point-like scatterers or normal size scatterers. Using Green’s functions and time convolution, we propose direct sampling methods to reconstruct the location of the scatterer. The methods involve only integral calculus without solving any equations and are easy to implement. Numerical experiments show the effectiveness and robustness of the methods.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.2023-269.070124}, url = {http://global-sci.org/intro/article_detail/eajam/23747.html} }
TY - JOUR T1 - A Direct Sampling Method Based on the Green’s Function for Time-Dependent Inverse Scattering Problems AU - Yu , Qingqing AU - Chen , Bo AU - Wang , Jiaru AU - Sun , Yao JO - East Asian Journal on Applied Mathematics VL - 1 SP - 205 EP - 224 PY - 2025 DA - 2025/01 SN - 15 DO - http://doi.org/10.4208/eajam.2023-269.070124 UR - https://global-sci.org/intro/article_detail/eajam/23747.html KW - Inverse scattering problem, time-dependent, direct sampling method, point-like scatterer, Green’s function. AB -

This paper is devoted to numerical simulation of time domain inverse acoustic scattering problems with a point-like scatterer, multiple point-like scatterers or normal size scatterers. Using Green’s functions and time convolution, we propose direct sampling methods to reconstruct the location of the scatterer. The methods involve only integral calculus without solving any equations and are easy to implement. Numerical experiments show the effectiveness and robustness of the methods.

Yu , QingqingChen , BoWang , Jiaru and Sun , Yao. (2025). A Direct Sampling Method Based on the Green’s Function for Time-Dependent Inverse Scattering Problems. East Asian Journal on Applied Mathematics. 15 (1). 205-224. doi:10.4208/eajam.2023-269.070124
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