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In this paper, we are concerned with the inverse electromagnetic scatteringproblem of recovering a complex scatterer by the corresponding electricfar-field data. The complex scatterer consists of an inhomogeneous medium and apossibly embedded perfectly electric conducting (PEC) obstacle. The far-fielddata are collected corresponding to incident plane waves with a fixed incidentdirection and a fixed polarisation, but frequencies from an open interval. Itis shown that the embedded obstacle can be uniquely recovered by theaforementioned far-field data, independent of the surrounding medium.Furthermore, if the surrounding medium is piecewise homogeneous, then themedium can be recovered as well. Those unique recovery results are new to theliterature. Our argument is based on low-frequency expansions of theelectromagnetic fields and certain harmonic analysis techniques.

Recovery of an embedded obstacle and the surrounding medium for Maxwell's system