  We are concerned with the inverse problem of recovering a conductive medium
body. The conductive medium body arises in several applications of practical
importance, including the modeling of an electromagnetic object coated with a
thin layer of a highly conducting material and the magnetotellurics in
geophysics. We consider the determination of the material parameters inside the
body as well as on the conductive interface by the associated electromagnetic
far-field measurement. Under the transverse-magnetic polarisation, we derive
two novel unique identifiability results in determining a 2D piecewise
conductive medium body associated with a polygonal-nest or a polygonal-cell
geometry by a single active or passive far-field measurement.
