4 papers · 1 filter
The Radon Transform-Based Sampling Methods for Biharmonic Sources from the Scattered Fields
Xiaodong Liu, Qingxiang Shi, Jing Wang
This paper presents three quantitative sampling methods for reconstructing extended sources of the biharmonic wave equation using scattered field data. The first method employs an…
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…
A quantitative sampling method for elastic and electromagnetic sources
Xiaodong Liu, Qingxiang Shi
This work is dedicated to a novel sampling method for accurately reconstructing elastic and electromagnetic sources from the far field patterns. We show that the proposed indicator…
Identifying point sources for biharmonic wave equation from the scattered fields at sparse sensors
Xiaodong Liu, Qingxiang Shi, Jing Wang
This work is dedicated to uniqueness and numerical algorithms for determining the point sources of the biharmonic wave equation using scattered fields at sparse sensors. We first s…