Interactions between electromagnetic waves and elliptically shaped metamaterials

The interaction between plane waves and multilayer elliptic cylinders with one or more layers made of metamaterials is considered. An analytical solution is proposed, which extends to double-negative metamaterials an efficient recursive procedure previously developed for double-positive dielectrics. Two cases are considered: multilayer dielectric cylinders and perfectly conducting cylinders with a lossy dielectric coating. Numerical results and comparisons are provided concerning both the internal field and the scattering cross section per unit length, allowing a significant assessment of the scattering properties of metamaterials.