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This paper concerns an application of the orthogonality sampling method (OSM)for a real-time identification of small objects from two-dimensional Fresnelexperimental dataset in transverse electric polarization. First, we apply theOSM with a single source by designing an indicator function based on theasymptotic expansion formula for the scattered field in the presence of smallobjects. We demonstrate that the indicator function can be expressed by aninfinite series of Bessel functions of integer order of the first kind, therange 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 thesource and the applied frequency. We then apply the OSM with multiple sourcesto improve imaging performance. Based on the identified structure of the OSMwith a single source, we design an indicator function with multiple sources anddemonstrate that it can be expressed by an infinite series of the Besselfunction of integer order of the first kind, and we explain that objects can beidentified uniquely using the designed OSM. Numerical simulation resultsobtained with the Fresnel experimental dataset demonstrate the advantages anddisadvantages of the OSM with a single source and confirm that the designed OSMwith multiple sources improves imaging performance.

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