A time domain sampling method for inverse acoustic scattering problems

JOURNAL OF COMPUTATIONAL PHYSICS

卷:314

Article

Guo, Yukun¹  Hoemberg, Dietmar²  Hu, Guanghui²  Li, Jingzhi³  Liu, Hongyu⁴ 

[1] Harbin Inst Technol, Dept Math, Harbin 150006, Peoples R China

[2] Karl Weierstrass Inst Math, Mohrenstr 39, Berlin, Germany

[3] Southern Univ Sci & Technol, Dept Math, Shenzhen, Peoples R China

[4] Hong Kong Baptist Univ, Dept Math, Kowloon, Hong Kong, Peoples R China

关键词: Inverse acoustic scattering;    Sampling method;    Time domain;    Dynamic measurements;    Kirchhoff migration;   

DOI  :  10.1016/j.jcp.2016.03.046

来源: Elsevier

【 摘 要 】

This work concerns the inverse scattering problems of imaging unknown/inaccessible scatterers by transient acoustic near-field measurements. Based on the analysis of the migration method, we propose efficient and effective sampling schemes for imaging small and extended scatterers from knowledge of time-dependent scattered data due to incident impulsive point sources. Though the inverse scattering problems are known to be nonlinear and ill-posed, the proposed imaging algorithms are totally direct involving only integral calculations on the measurement surface. Theoretical justifications are presented and numerical experiments are conducted to demonstrate the effectiveness and robustness of our methods. In particular, the proposed static imaging functionals enhance the performance of the total focusing method (TFM) and the dynamic imaging functionals show analogous behavior to the time reversal inversion but without solving time-dependent wave equations. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free