Scattering of TM waves from a cylindrical scatterer embedded inside a two-layer lossy ground under the assumption of a sinusoidal air-ground interface is investigated. The problem is formulated via an integral equation approach combined with the extended boundary conditions method. The integral equation over the cross section of the scatterer is transformed into an infinite set of linear equations for the expansion coefficients of the unknown magnetic field inside the scatterer. This set is truncated and solved numerically. The numerical results obtained for the far-zone scattered field show that it is is mainly affected by the characteristics and the position of the scatterer with respect to the dips and lifts of the rough surface as well as by the conductivity of the surrounding ground layers. In certain cases the scattering pattern provides useful information about the position and the type of possible buried scatterers.
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