论文标题
在带有无浮力远场数据的两层介质中埋葬障碍物的成像
Imaging of buried obstacles in a two-layered medium with phaseless far-field data
论文作者
论文摘要
我们认为的反问题是，从无浮力远场数据的两个维度中，在一个无界的两层介质的下半空间中重建了埋藏障碍物的位置和形状。该问题的主要困难是，不可避免的是远场模量模量的翻译不变性特性，这与同质背景媒体相似。基于将两个平面波用不同方向作为入射场的叠加的想法，我们首先开发了一种直接成像方法来定位小异常的位置并对算法进行理论分析。然后提出了频率递归的牛顿型迭代算法，以重建扩展的障碍。最后，提出了数值实验，以说明我们算法的可行性。
The inverse problem we consider is to reconstruct the location and shape of buried obstacles in the lower half-space of an unbounded two-layered medium in two dimensions from phaseless far-field data. A main difficulty of this problem is that the translation invariance property of the modulus of the far field pattern is unavoidable, which is similar to the homogenous background medium case. Based on the idea of using superpositions of two plane waves with different directions as the incident fields, we first develop a direct imaging method to locate the position of small anomalies and give a theoretical analysis of the algorithm. Then a recursive Newton-type iteration algorithm in frequencies is proposed to reconstruct extended obstacles. Finally, numerical experiments are presented to illustrate the feasibility of our algorithms.
