55 citations · 536 across the 34 of their papers we have counts for
5 papers · 1 filter
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…
Direct sampling methods for inverse elastic scattering problems
Xia Ji, Xiaodong Liu, Yingxia Xi
We consider the inverse elastic scattering of incident plane compressional and shear waves from the knowledge of the far field patterns. Specifically, three direct sampling methods…
Data recovery: from limited-aperture to full-aperture
Xiaodong Liu, Jiguang Sun
The inverse scattering problems have been popular for the past thirty years. While very successful in many cases, progress has lagged when only {\em limited-aperture} measurement i…
A novel sampling method for multiple multiscale targets from scattering amplitudes at a fixed frequency
Xiaodong Liu
A sampling method by using scattering amplitude is proposed for shape and location reconstruction in inverse acoustic scattering problems. Only matrix multiplication is involved in…