Scattering of electromagnetic waves described in terms of the zeros of their far-zone patterns

Two-dimensional electromagnetic waves are discussed by means of the location of zeros of far-zone patterns on the complex plane. Examples are given for the case when the scatterers are made of polygonal cylinders. It is shown that contributions of scattering from the edges of the obstacles are well described by the infinite sequences of zeros that lead to infinity on the complex plane. The locations and directions of infinite sequences are closely related to the edge shapes in real space, so that the edge effects in high frequency scheme can be studied from geometrical considerations of these zeros.