Near-field imaging of a locally rough interface and buried obstacles with the linear sampling method

Jianliang Li; Jiaqing Yang; Bo Zhang

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arXiv · 2009.00379

Near-field imaging of a locally rough interface and buried obstacles with the linear sampling method

Jianliang Li·Jiaqing Yang·Bo Zhang

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Abstract

Consider the problem of inverse scattering of time-harmonic point sources from an infinite, penetrable rough interface with bounded obstacles buried in the lower half-space, where the interface is assumed to be a local perturbation of a planar surface. A novel version of the sampling method is proposed to simultaneously reconstruct the local perturbation of the rough interface and buried obstacles by constructing a modified near-field equation associated with a special rough surface, yielding a fast imaging algorithm. Numerical examples are presented to illustrate the effectiveness of the inversion algorithm.

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Jianliang Li, Jiaqing Yang, Bo Zhang. 2020-09-01. Near-field imaging of a locally rough interface and buried obstacles with the linear sampling method. https://arxiv.org/abs/2009.00379

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