The solution of highly nonlinear inverse scattering problems is addressed. An innovative multiresolution microwave imaging technique, which leverages on the profitable integration of the contraction integral equation for inversion (CIE-I) and the iterative multiscaling approach (IMSA), is proposed. Thanks to the joint exploitation of the features of the CIE-I formulation and the IMSA, the arising IMSA-CIE-I inversion technique provides faithful reconstructions of complex-shaped strong scatterers with enhanced resolution and computational efficiency with respect to the state-of-the-art competitive alternatives. Numerical and experimental test cases verify the effectiveness and limitations of the proposed method.

中文翻译：

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求解高度非线性逆散射问题的多分辨率收缩积分方程方法

解决了高度非线性逆散射问题的解决方案。提出了一种创新的多分辨率微波成像技术，该技术利用了反演收缩积分方程 (CIE-I) 和迭代多尺度方法 (IMSA) 的有利集成。由于联合开发了 CIE-I 公式和 IMSA 的特征，出现的 IMSA-CIE-I 反演技术提供了复杂形状的强散射体的忠实重建，并具有增强的分辨率和计算效率。最先进的竞争替代品。数值和实验测试用例验证了所提出方法的有效性和局限性。