论文标题

线性抽样方法的近场成像和当地粗糙的界面和掩埋障碍物

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

论文作者

Li, Jianliang, Yang, Jiaqing, Zhang, Bo

论文摘要

考虑从无限的,可穿透的粗糙界面与埋在下半空间中的有界障碍物的时间谐波源的反向散射的问题,该界面被认为是平面表面的局部扰动。提出了一种新颖的采样方法,可以通过构建与特殊粗糙表面相关的修改后的近场方程来同时重建粗糙界面的局部扰动和掩埋障碍物,从而产生快速成像算法。提出了数值示例,以说明反转算法的有效性。

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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