Scattering by a Multilayered Infinite Cylinder Arbitrarily Illuminated With a Shaped Beam

A method of calculating the scattered electromagnetic fields of a multilayered infinite cylinder, for arbitrary incidence of a shaped beam, is presented. A complete set of coefficients, which describes the electromagnetic fields within the different regions of a multilayered infinite cylinder, is determined by solving a system of linear equations derived from the boundary conditions. As an example, for a tightly focused Gaussian beam propagating perpendicularly to the cylinder axis of a two-layered and three-layered infinite cylinder, the three-dimensional (3D) nature of the scattering problem, greatly different from the case of an incident plane wave, is described in detail, and numerical results of the normalized differential scattering cross section are evaluated.