Spherical Near-Field to Far-Field Transformations for the Half-Space Problem with a PEC Boundary

Abstract

This paper demonstrates the equivalence of spherical near-field to far-field transformations for antennas above a perfect electric conducting (PEC) ground with that of a free-space problem when the ground is replaced by the image of the measured field on the upper hemisphere. The image of the electric field is derived exactly by invoking the equivalence principle and image theory.