Electromagnetic wave focusing with 2-D gridded parabolic reflector made of parallel circular PEC wires at oblique incidence

Abstract

We consider the two-dimensional (2-D) scattering of the TEand TM-polarized plane electromagnetic waves from a discrete grid-like parabolic re ector consisting of parallel circular perfectly electrically conducting (PEC) wires at oblique incidence. Our analysis is performed in the exact formulation, fully taking into account the wave interactions between the wires. We use the method of separation of variables in the local cylindrical coordinate systems in combination with Graf's addition formulas for cylindrical functions. The near eld in the vicinity of the re ector is calculated at different angles of incidence. The dependences of the eld amplitude at the maximum in the focal area and the position of this maximum on the angle of incidence are plotted. The far eld scattered patterns, total scattering cross-sections and backward scattering cross-sections are calculated and discussed.