Scattering fields of shaped beam incidence on a conducting infinite cylinder with dielectric coating

Based on the generalized Lorenz-Mie theory (GLMT) that provides the general framework and expansion of the incident shaped beam in terms of cylindrical vector wave functions, an analytic solution to the electromagnetic scattering by coated infinite cylinders is constructed, for arbitrary incidence of a shaped beam. As an example, for a tightly focused Gaussian beam propagating perpendicular to the cylinder axis, the scattering characteristics that obviously demonstrate the three-dimensional nature are described in detail.