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A novel method in determining a layered periodic structure
Boundary Value Problems ( IF 1.7 ) Pub Date : 2020-12-09 , DOI: 10.1186/s13661-020-01474-6
Yanli Cui , Xiliang Li , Fenglong Qu

This paper is concerned with the inverse scattering of time-harmonic waves by a penetrable structure. By applying the integral equation method, we establish the uniform $L^{p}_{\alpha }\ (1< p\leq 2)$ estimates for the scattered and transmitted wave fields corresponding to a series of incident point sources. Based on these a priori estimates and a mixed reciprocity relation, we prove that the penetrable structure can be uniquely identified by means of the scattered field measured only above the structure induced by a countably infinite number of quasi-periodic incident plane waves.

中文翻译:

确定分层周期结构的新方法

本文关注的是可穿透结构对时谐波的逆散射。通过应用积分方程方法,我们建立了对应于一系列入射点源的散射波场和透射波场的统一$ L ^ {p} _ {\ alpha} \(1 <p \ leq 2)$估计。基于这些先验估计和混合的互易关系,我们证明可渗透的结构可以通过仅在由无数次准周期性入射平面波引起的结构上方测量的散射场来唯一识别。
更新日期:2020-12-09
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