论文标题
多尺度差分收缩方法，用于与不均匀培养基的反向散射问题
Multi-Scaling Differential Contraction Integral Method for Inverse Scattering Problems with Inhomogeneous Media
论文作者
论文摘要
微波成像的实际应用通常需要解决不均匀背景的逆散射问题。为此，提出了一种新型的反转策略，该策略结合了多尺度（MS）正则化方案和差异收缩积分方程（DCIE）公式。这种综合方法减轻了问题的非线性和不良性，以获得未知散射曲线的可靠高分辨率重建。所产生的算法实现（表示为MS-DCIE）不需要计算不均匀背景的绿色功能，因此它提供了一种处理复杂方案的高效方法。 MS-DCIE的性能是通过数值和实验测试来评估的，与竞争性的最新反转策略相比。
Practical applications of microwave imaging often require the solution of inverse scattering problems with inhomogeneous backgrounds. Towards this end, a novel inversion strategy, which combines the multi-scaling (MS) regularization scheme and the Difference Contraction Integral Equation (DCIE) formulation, is proposed. Such an integrated approach mitigates the non-linearity and the ill-posedness of the problem to obtain reliable high-resolution reconstructions of the unknown scattering profiles. The arising algorithmic implementation, denoted as MS-DCIE, does not require the computation of the Green's function of the inhomogeneous background, thus it provides an efficient and effective way to deal with complex scenarios. The performance of the MS-DCIE are assessed by means of numerical and experimental tests, in comparison with competitive state-of-the-art inversion strategies, as well.
