标题： 使用单源和多源正交采样法实时反演二维弗伦耳实验数据库：横电极化波的情况 显示英文标题

标题： Real-time inversion of two-dimensional Fresnel experimental database using orthogonality sampling method with single and multiple sources: the case of transverse electric polarized waves

摘要： 本文研究了正交采样法（OSM）在实时识别二维横电极化Fresnel实验数据中小物体的应用。 首先，我们通过设计一个基于小物体存在时散射场渐近展开公式的形式函数来应用单源的OSM。 我们证明该形式函数可以表示为由整数阶第一类贝塞尔函数的无穷级数、信号接收器的范围以及发射器的位置组成。 在此基础上，我们进一步研究了所设计的OSM的适用性和局限性。 具体而言，我们发现成像性能强烈依赖于源和使用的频率。 然后，我们应用多源OSM以提高成像性能。 基于单源OSM的结构，我们设计了一个多源形式函数，并证明它可以表示为整数阶第一类贝塞尔函数的无穷级数，同时解释了使用所设计的OSM可以唯一地识别物体。 使用Fresnel实验数据集获得的数值模拟结果表明单源OSM的优缺点，并确认多源OSM提高了成像性能。 显示英文摘要

摘要： This paper concerns an application of the orthogonality sampling method (OSM) for a real-time identification of small objects from two-dimensional Fresnel experimental dataset in transverse electric polarization. First, we apply the OSM with a single source by designing an indicator function based on the asymptotic expansion formula for the scattered field in the presence of small objects. We demonstrate that the indicator function can be expressed by an infinite series of Bessel functions of integer order of the first kind, the range of the signal receiver, and the location of the emitter. Based on this, we then investigate the applicability and limitations of the designed OSM. Specifically, we find that the imaging performance is strongly dependent on the source and the applied frequency. We then apply the OSM with multiple sources to improve imaging performance. Based on the identified structure of the OSM with a single source, we design an indicator function with multiple sources and demonstrate that it can be expressed by an infinite series of the Bessel function of integer order of the first kind, and we explain that objects can be identified uniquely using the designed OSM. Numerical simulation results obtained with the Fresnel experimental dataset demonstrate the advantages and disadvantages of the OSM with a single source and confirm that the designed OSM with multiple sources improves imaging performance.