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 new imaging functional for solving this inverse problem. This imaging functional is very simple to implement, robust against noise in the data, and does not require regularization. The resolution and stability analysis of the imaging functional is analyzed. Our numerical study shows that the proposed sampling method is more stable than the factorization method and more efficient than the orthogonality sampling method in reconstructing periodic scattering media.
翻译：本文关注从分散的实地数据中确定可穿透周期散射器形状的反面问题。 我们提出一种具有新成像功能的抽样方法来解决反面问题。 这种成像功能非常简单,可以执行,能防止数据中的噪音,不需要规范。 对成像功能的分辨率和稳定性分析进行了分析。 我们的数字研究表明,在重建定期散射介质方面,拟议的采样方法比乘数法更稳定,比正数采样方法更有效。
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