State–Space Formulation of Scattering with Application to Spherically Symmetrical Objects

Abstract

A new differential formulation of scattering from dielectric bodies is described. The problem is reduced to the solution of spatially varying state–space equations for the multipole coefficients of the scattered field. The equations are confined into the body, and the solution yields directly the scattering coefficient outside the body. The method is applied to spherically symmetrical objects. Numerical results are presented for plane wave scattering from Luneberg and Eaton lenses and a plasma-coated conducting sphere. The radiation properties of an electric and magnetic dipole antenna, respectively covered by a plasma and a dielectric layer, are studied. The numerical results show that the radiation of these antennas can be enhanced over the free-space radiation by adjusting the thickness and the density of the layer.