A novel formulation of electromagnetic scattering by lossy dielectric cylinders of arbitrary cross-section

The method of solution presented is called the state-space method. It is essentially a polarization-source formulation where the incident wave polarizes the scatterer and thus-induced polarization sources radiate into free-space. In state-space formulation the fields are represented by infinite series of cylindrical harmonics with position-dependent expansion coefficients. The differential equation system for these coefficients is in the state-space form and defines a two-point boundary value problem. This is solved with the aid of the techniques of linear system theory. The excitation considered is either a plane E-wave or a line-source parallel to the axis of the cylindrical scatterer. The material parameters (∈ and σ) can vary over the cross-section but not with the axial distance. Various cross-sectional shapes are considered. The results found are compared with the existing ones in the literature