The Linear Sampling Method as a Way to Quantitative Inverse Scattering
The Linear Sampling Method as a Way to Quantitative Inverse Scattering
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DOI：
10.1109/tap.2012.2186250
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发表时间：
2012-04-01
影响因子：
5.7
通讯作者：
Isernia, Tommaso
中科院分区：
文献类型：
--
作者：
Crocco, Lorenzo;Catapano, Ilaria;Isernia, Tommaso
线性采样法(LSM)是一种通过解一个线性反问题来成像未知目标形状的简单而有效的方法。在本文中，我们证明了最小二乘法也可以被用来设计一种新的有效的散射现象的近似，这导致了一种新的非迭代线性反演方法来估计目标的电对比度。由于引入的近似依赖于最小二乘法的广泛适用性，因此该方法适用于处理含有非弱散射体的逆散射问题。因此，它代表了一种创新但有效的方法来解决定量成像问题。给出了数值和实验数据的算例，验证了该方法的有效性。特别是，利用菲涅尔数据集获得的结果表明，该方法能够成功地对已使用非线性迭代格式和利用频率分集进行处理的目标成像。
The linear sampling method (LSM) is a simple and effective approach to image the shape of unknown targets via the solution of a linear inverse problem. In this paper, we show that the LSM can also be exploited to devise a novel effective approximation of the scattering phenomenon, that leads to a new noniterative linear inversion method for the estimation of the target's electric contrast. Since the introduced approximation relies on the broad applicability of the LSM, the proposed inversion method is suitable to tackle inverse scattering problems involving nonweak scatterers. As such, it represents an innovative, yet effective, way to tackle quantitative imaging. Examples with numerical and experimental data are given to show the performance of the approach. In particular, results obtained with Fresnel data-sets show that the proposed method is capable of successfully imaging targets which have been so far processed using nonlinear iterative schemes and taking advantage of frequency diversity.