Scattering of a long dipole field by parallel cylindrical scatterers

The scattering of a long dipole antenna field by many conducting infinitely long circular cylinders has many engineering applications, such as the simulation of a cylindrical reflector antenna by circular cylinders, in which the feed is a long dipole. The dipole field is considered as incident on the cylinders, resulting in multiply-scattered fields between the cylinders, as well as between each cylinder and the dipole. A self-consistent method is employed for calculating the multiply-scattered fields among the cylinders, while an iterative procedure is used for the multiple scattering between the cylinders and the dipole. Examples illustrating the radiation pattern of simulated parabolic cylindrical, and corner reflector, antennas are shown. The field of a long dipole antenna perturbed by one or two cylinders is given. The paper also shows how one can improve the simulated reflector pattern over the solid reflector by proper choice of the radii and positions of the simulating cylinders along the reflector trajectory.