多频稀疏数据点目标识别
Identification of point like objects with multi-frequency sparse data
摘要：
研究了多频稀疏测量点目标的逆声散射问题。物体可以是点源或点状散射体的总和。我们表明，点目标的位置和散射强度可以唯一地确定在稀疏传感器采取的多频近或远场。基于这种唯一性分析，提出了一些直接法来重建散射位置和确定散射强度。数值算例表明了所提出的数值方法的有效性和鲁棒性。
英文摘要：
The inverse acoustic scattering of point objects using multi-frequency sparse measurements are studied. The objects may be a sum of point sources or point like scatterers. We show that the locations and scattering strengths of the point objects can be uniquely identified by the multi-frequency near or far fields taken at sparse sensors. Based on the uniqueness analysis, some direct methods have also been proposed for reconstructing the locations and determining the scattering strengths. The numerical examples are conducted to show the validity and robustness of the proposed numerical methods.
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