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Extended sampling method for inverse elastic scattering problems using one incident wave
J Liu, X. Liu, J. Sun
We consider the inverse elastic scattering problems using the far field data due to one incident plane wave. A simple method is proposed to reconstruct the location and size of the…
Phaseless inverse source scattering problem: phase retrieval, uniqueness and direct sampling methods
Xia Ji, Xiaodong Liu, Bo Zhang
Similar to the obstacle or medium scattering problems, an important property of the phaseless far field patterns for source scattering problems is the translation invariance. Thus…
Target reconstruction with a reference point scatterer using phaseless far field patterns
Xia Ji, Xiaodong Liu, Bo Zhang
An important property of the phaseless far field patterns with incident plane waves is the translation invariance. Thus it is impossible to reconstruct the location of the underlyi…
Fast acoustic source imaging using multi-frequency sparse data
Ala Alzaalig, Guanghui Hu, Xiaodong Liu +1
We consider the acoustic source imaging problems using multiple frequency data. Using the data of one observation direction/point, we prove that some information (size and location…
Direct and inverse obstacle scattering problems in a piecewise homogeneous medium
xiaodong Liu, Bo Zhang
This paper is concerned with the problem of scattering of time-harmonic acoustic waves from an impenetrable obstacle in a piecewise homogeneous medium. The well-posedness of the di…