54 citations · 141 across the 17 of their papers we have counts for
17 papers
Shape and parameter identification by the linear sampling method for a restricted Fourier integral operator
Lorenzo Audibert, Shixu Meng
In this paper we provide a new linear sampling method based on the same data but a different definition of the data operator for two inverse problems: the multi-frequency inverse s…
Data-driven basis for reconstructing the contrast in inverse scattering: Picard criterion, regularity, regularization, and stability
Shixu Meng
We consider the inverse medium scattering of reconstructing the medium contrast using Born data, including the full aperture, limited-aperture, and multi-frequency data. We propose…
Single Mode Multi-frequency Factorization Method for the Inverse Source Problem in Acoustic Waveguides
Shixu Meng
This paper investigates the inverse source problem with a single propagating mode at multiple frequencies in an acoustic waveguide. The goal is to provide both theoretical justific…
A multi-frequency sampling method for the inverse source problems with sparse measurements
Xiaodong Liu, Shixu Meng
We consider the inverse source problems with multi-frequency sparse near field measurements. In contrast to the existing near field operator based on the integral over the space va…
Modified sampling method with near field measurements
Xiaodong Liu, Shixu Meng, Bo Zhang
This paper investigates the inverse scattering problems using sampling methods with near field measurements. The near field measurements appear in two classical inverse scattering…
Data completion algorithms and their applications in inverse acoustic scattering with limited-aperture backscattering data
Fangfang Dou, Xiaodong Liu, Shixu Meng +1
We introduce two data completion algorithms for the limited-aperture problems in inverse acoustic scattering. Both completion algorithms are independent of the topological and phys…