This paper presents a theoretical treatment of scattering by a radially stratified infinite cylinder buried in an absorbing, i.e., lossy, half-space. The permeability and refractive index of the host medium and cylinder layers are generally complex. The half-space is irradiated by an arbitrarily polarized plane wave that propagates in the plane perpendicular to the axis of the cylinder. The theoretical formulation rigorously accounts for the Fresnel effect at the half-space interface, interaction of the cylinder with scattered waves that are reflected from the interface, and attenuation of the propagating waves by the host medium. Analytical formulas are derived for the electric and magnetic fields and Poynting vector of the scattered waves emerging from the half-space. Numerical results on backscattering are shown for the cases of a homogeneous and a hollow cylinder buried at various depths in an absorbing half-space.
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