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The 2-D electromagnetic scattering of a plane wave by a perfectly conducting cylinder buried in a lossy medium is presented. The problem of reflection and transmission of both the plane wave and the cylindrical wave at the interface with a dissipative medium has been faced, taking into account the general case of inhomogeneous waves. The scattering problem has been solved with the cylindrical-wave approach. The theoretical solution has been numerically implemented in a Fortran code, and the numerical results have been compared with both the literature and simulations with a commercial software.