5 papers
Characterizing nonlinear information in the linear sampling method for inverse medium scattering
Lorenzo Audibert, Shixu Meng
This work is concerned with the nonlinear information in the linear sampling method for the inverse medium scattering problem. In addition to the well-known capability in shape cha…
Low-rank-assisted inverse medium scattering: Lipschiz stability and ensemble Kalman filter
Shixu Meng
In this work we study the theoretical Lipschitz stability and propose a low-rank-assisted numerical method for the inverse medium scattering beyond the Born region. The proposed lo…
A theoretical and computational framework for three dimensional inverse medium scattering using the linearized low-rank structure
Yuyuan Zhou, Lorenzo Audibert, Shixu Meng +1
In this work we propose a theoretical and computational framework for solving the three dimensional inverse medium scattering problem, based on a set of data-driven basis arising f…
An inverse obstacle scattering problem with passive data in the time domain
Xiaoli Liu, Shixu Meng, Jialu Tian +1
This work considers a time domain inverse acoustic obstacle scattering problem due to passive data. Motivated by the Helmholtz-Kirchhoff identity in the frequency domain, we propos…
Exploring low-rank structure for an inverse scattering problem with far-field data
Yuyuan Zhou, Lorenzo Audibert, Shixu Meng +1
In this work, we introduce a novel low-rank structure tailored for solving the inverse scattering problem. The particular low-rank structure is given by the generalized prolate sph…