In this paper a study on electromagnetic scattering of coated particles is showed and a rigorous formalism based
on the Extinction Theorem, for a 2D geometry, is implemented. Through this integral Method results for the
electromagnetic scattering of systems, which consist in two coaxial circular shaped cylinders are performed for
two fundamental modes of polarization: s and p mode. The particles are filled with homogeneous linear and
isotropic media, these being able to have magnetic properties in the whole classic electromagnetic range.
Particularly in nanoparticles, results of optical cross sections vs. wavelength of the illumination are showed. A
characterization of eigenmodes (plasmons when the particles have metal) is performed.