On a new condition for physical realizability of planar antennas

The behavior that all physically realizable aperture distributions (tangential electric field in an aperture consisting of holes in a perfectly conducting planar sheet) must have at their edges is shown to be as follows. The components perpendicular and parallel to the aperture edge must each vanish with distance from the edge as , with for the perpendicular component and for the parallel component. An interesting consequence of this realizability condition is that the pedestal form of edge behavior usually assumed in aperture theory is physically impossible.