论文标题
定期散射介质的稳定成像的新采样指标函数
A new sampling indicator function for stable imaging of periodic scattering media
论文作者
论文摘要
本文涉及从散射场数据中确定可渗透周期散射器形状的反问题。我们提出了一种采样方法，该方法具有新的指标函数，用于解决此反问题。此指示器功能非常易于实现，并且可以在数据中对抗噪声。分析指标函数的分辨率和稳定性分析。我们的数值研究表明，在重建周期性散射器时，提出的采样方法比分解方法比分解方法更稳定，并且比直接或正交采样方法更有效。
This paper is concerned with the inverse problem of determining the shape of penetrable periodic scatterers from scattered field data. We propose a sampling method with a novel indicator function for solving this inverse problem. This indicator functionl is very simple to implement and robust against noise in the data. The resolution and stability analysis of the indicator function is analyzed. Our numerical study shows that the proposed sampling method is more stable than the factorization method and more efficient than the direct or orthogonality sampling method in reconstructing periodic scatterers.
