3 papers
math.AP2026
Inverse Obstacle Scattering from Multi-Frequency Near-Field Backscattering Data
Jialei Li, Xiaodong Liu
This paper addresses the inverse obstacle scattering problem of simultaneously reconstructing the obstacle geometry and boundary conditions from multi-frequency near-field backscat…
math.NA2025
Identifying convex obstacles from backscattering far field data
Jialei Li, Xiaodong Liu, Qingxiang Shi
The recovery of anomalies from backscattering far field data is a long-standing open problem in inverse scattering theory. We make a first step in this direction by establishing th…
math.AP2024
Uniqueness and modified Newton method for cracks from the far field patterns with a fixed incident direction
Jialei Li, Xiaodong Liu
We consider the inverse cracks scattering problems from the far field patterns with a fixed incident direction. We firstly show that the sound-soft cracks can be uniquely determine…