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arXiv · 1804.05496

Near-field imaging of an unbounded elastic rough surface with a direct imaging method

Xiaoli Liu·Bo Zhang·Haiwen Zhang
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Abstract

This paper is concerned with the inverse scattering problem of time-harmonic elastic waves by an unbounded rigid rough surface. A direct imaging method is developed to reconstruct the unbounded rough surface from the elastic scattered near-field Cauchy data generated by point sources. A Helmholtz-Kirchhoff-type identity is derived and then used to provide a theoretical analysis of the direct imaging algorithm. Numerical experiments are presented to show that the direct imaging algorithm is fast, accurate and robust with respect to noise in the data.

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Xiaoli Liu, Bo Zhang, Haiwen Zhang. 2018-04-16. Near-field imaging of an unbounded elastic rough surface with a direct imaging method. https://arxiv.org/abs/1804.05496

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