Electromagnetic scattering from elliptical structure coated by a metamaterial

The problem of electromagnetic scattering from a conducting elliptical cylinder coated by metamaterials, which have both negative permittivity and permeability, is derived rigorously by using separation of variables technique. The fields inside and outside the dielectric coating are expressed in terms of Mathieu functions. The boundary conditions at various surfaces are enforced to obtain the unknown field expansion coefficients. Numerical results for scattering by a conducting elliptical cylinder coated with metamaterial are presented graphically for the TM case. It was found that there is remarkable reduction in the scattering echo width with respect to the conventional dielectric material.