参考点散射体无相位远场目标重建
Target reconstruction with a reference point scatterer using phaseless far field patterns
摘要:
平面波入射时无相位远场方向图的一个重要性质是平移不变性。因此,不可能重建底层散射体的位置。通过在模型中加入参考点散射体,设计了一种直接利用无相位数据的直接采样方法。参考点技术不仅克服了平移不变性,而且带来了一种实用的相位恢复算法。在此基础上,我们提出了一种新的相位恢复算法和经典的直接采样方法相结合的混合方法。二维数值算例证明了其有效性和鲁棒性。
英文摘要:
An important property of the phaseless far field patterns with incident plane waves is the translation invariance. Thus it is impossible to reconstruct the location of the underlying scatterers. By adding a reference point scatterer into the model, we design a novel direct sampling method using the phaseless data directly. The reference point technique not only overcomes the translation invariance, but also brings a practical phase retrieval algorithm. Based on this, we propose a hybrid method combining the novel phase retrieval algorithm and the classical direct sampling methods. Numerical examples in two dimensions are presented to demonstrate their effectiveness and robustness.
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