A Direct Sampling Method Based on the Green’s Function for Time-Dependent Inverse Scattering Problems
Year: 2025
Author: Qingqing Yu, Bo Chen, Jiaru Wang, Yao Sun
East Asian Journal on Applied Mathematics, Vol. 15 (2025), Iss. 1 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.2023-269.070124
East Asian Journal on Applied Mathematics, Vol. 15 (2025), Iss. 1 : pp. 205–224
Published online: 2025-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 20
Keywords: Inverse scattering problem time-dependent direct sampling method point-like scatterer Green’s function.