K-space tensor conductivity results

A review is presented of the derivation of the tensor formulation for the direct k-space frequency-domain scattering problem. This formulation is used if the scattering medium is such that surface currents as well as volume currents are present so that the scattered field is written in terms of a tensor conductivity, the Green´s tensor and the electric field. Differential cross-sections are calculated for a plane wave, with transverse magnetic polarization, incident on circular and rectangular cylindrical scatterers. The iterative k-space program of J. Nachamkin et al. (1987) was used. However, the scalar conductivity was replaced by the tensor conductivity. Two types of cylindrical scatterer are considered. The first are cylindrical shells consisting only of surface cells. The second type are full cylindrical conductors. Mie series solutions are produced for the circular cylinders. The conventional formulation (i.e., by using a scalar conductivity) was also used to calculate the cross sections for the full rectangular cylinders.<>