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A 3D LINEARIZED INVERSE SCATTERING METHOD FOR SCATTERERS IN A TWO LAYERED MEDIUM

机译:两层介质中散射体的3D线性反散射方法

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摘要

This paper presents a 3D linearized inverse scattering method for shape reconstruction of obstacles in a two layered medium. The problem here is to estimate the shape of an obstacle embedded in the bottom layer, using scattered waves observed at points in the top layer. Wave sources are assumed to be acoustic monopoles settled in the top layer. For this situation, two inversion formulas based on the Born and the Kirchhoff approximations are proposed with the help of the Green's function for the layered medium. In numerical examples, the two inversion formulae are tested for reconstruction of spherical and spheroidal rigid scatterers from simulated wave data. It is shown that an illuminated side of the scatterers is well reconstructed by the proposed methods.
机译:本文提出了一种用于二维介质中障碍物形状重构的3D线性逆散射方法。这里的问题是使用在顶层的点处观察到的散射波来估计嵌入底层的障碍物的形状。假定波源是驻留在顶层的声学单极子。针对这种情况,借助格林函数对层状介质提出了两个基于Born和Kirchhoff近似的反演公式。在数值示例中,测试了两个反演公式,以便根据模拟波数据重建球形和球形刚性散射体。结果表明,所提出的方法可以很好地重建散射体的照射面。

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