A new sampling indicator function for stable imaging of periodic scattering media
A new sampling indicator function for stable imaging of periodic scattering media
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DOI：
10.1088/1361-6420/acce5f
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发表时间：
2022-05
期刊：
影响因子：
2.1
通讯作者：
Dinh-Liem Nguyen;Kale Stahl;TrungDung Truong
中科院分区：
文献类型：
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作者：
Dinh-Liem Nguyen;Kale Stahl;TrungDung Truong
本文研究由散射场数据确定可穿透周期散射体形状的反问题。我们提出了一种新的指示函数的采样方法来解决这个反问题。该指示器函数实现起来非常简单，并且对数据中的噪声具有鲁棒性。分析了指示函数的分辨率和稳定性。数值研究表明，该采样方法比因子分解方法更稳定，比直接采样方法和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 function 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.