A time-domain direct sampling approach for inverse acoustic scattering problems

Speaker:  李宏杰 助理教授,清华大学

Title:  A time-domain direct sampling approach for inverse acoustic scattering problems

Time & Venue:  15:00-16:00  南楼N218

Abstract: This report is concerned with an inverse scattering problem of determining unknown scatterers from time-dependent acoustic measurements. A novel time-domain direct sampling method is developed to efficiently determine both the locations and shapes of inhomogeneous media. In particular, the approach is very easy to implement since only cheap space-time integrations are involved in the evaluation of the imaging functionals. Based on the Fourier-Laplace transform, we establish an inherent connection between the time-domain and frequency-domain for the direct sampling method. Moreover, rigorous theoretical justifications and numerical experiments are provided to verify the validity and feasibility of the proposed method.



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