Regular-integrand line-integral representation for the PO scattered field, suitable for an efficient numerical integration

We present a new formulation for providing an exact line integral representation for the PO radiation integral describing the scattering from an aperture in a black screen or by a flat perfectly conducting plate, illuminated by an elementary electric or magnetic dipole, which joins numerical efficiency of Asvestas to the physical appeal and ease of implementation of Rubinowicz; indeed the present formulation overcomes numerical impairments of traditional techniques preserving the physical interpretability of the result. This feature allows us to obtain an efficient tool for numerical scattering computation whose applicability range can also be extended, using typical ray heuristic approximations, to manage scattering by impenetrable or transparent impedance objects, with a well-assessed degree of confidence. Numerical examples show the effectiveness of the presented formulation.