Showing 2026Show all
3 papers · 1 filter
math-ph2026
Quantitative Direct Sampling for Initial Acoustic Sources
Xiaodong Liu, Xianchao Wang
This paper addresses the challenge of quantitatively reconstructing initial acoustic sources from time-dependent wave measurements. We introduce novel indicator functions defined t…
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-ph2026
A Radon-transform-based formula for reconstructing acoustic sources from the scattered fields
Xiaodong Liu, Jing Wang
We propose a novel indicator function for reconstructing acoustic sources from multi-frequency near-field measurements. The theoretical basis is established by a formula relating t…