| Summary: | An inverse electromagnetic scattering problem is to determine the support of a scatterer from the scattered field or its far-field pattern. Characterized by ill-posedness and nonlinearity, the solution to this problem has difficulty in numerical implementation. The linear sampling method (LSM) is known to be a simple and computational efficient approach to retrieve the support of scatterers using multistatic scattered field data. However, the recovered profile is always misleading, owing to the lack of robust edge detecting as well as the frequency dependence of the LSM. In this paper, free from a priori information pertaining to the geometry to be inspected, the upper and lower bounds of the profile of scatterers are pursued. All the required data are generated by the LSM, which are utilized to construct a surface presentation of the indicator function in terms of moving least square approximation. The bounds are extracted from the curvature of such surface. Moreover, with the aid of the retrieved support of the scatterers, the sensible frequency limit of the incident electromagnetic wave is estimated a posteriori. In the end, the experimental results validate the proposed method.
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