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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.NA2025
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…
math.NA2024
The high resolution sampling methods for acoustic sources from multi-frequency far field patterns at sparse observation directions
Xiaodong Liu, Qingxiang Shi
This work is dedicated to novel uniqueness results and high resolution sampling methods for source support from multi-frequency sparse far field patterns. With a single pair of obs…