Incremental fringe formulation for the scattering of Complex Point Source beam expansion by pPlanar metallic objects

In many practical electromagnetic (EM) antenna and scattering problems it is often useful to efficiently describe directional wave fields. It is known that a given but arbitrary radiating wave field, such as the field radiated by an aperture antenna, may be efficiently represented in terms of a distribution of complex point sources (CPS) on a sphere. In this framework an extension of the incremental theory of diffraction (ITD) formulation for the scattering by wedges illuminated by CPS has been recently introduced, which provides a description of the CPS diffraction by objects. In order to augment the accuracy and the efficiency of the physical optics radiated field predictions, in this paper a fringe formulation of the field diffracted by edges in planar perfect electric conductor (PEC) objects when illuminated by a CPS representation of arbitrary field is presented. Numerical results relevant to the diffraction by a metallic disc are also presented and discussed.