Singularities’ Distribution of the Field’s Analytical Continuation, Scattered by the Front Part of the Mirror Sphere

In this article there is investigated the character of the singularities' distribution corresponding to the analytical continuation of the field reflected by the front part of the perfect electric conductor sphere illuminated by the electromagnetic waves point source. The analysis of these singularities show, that they represent the distorted image of the incident wave source and are distributed on the caustic surface. The discrete character of the singularities, when the ratio of the sphere radius and the incident wave length is finite, is explained by the Fresnel zone method. The numerical experiments performed to determine the scattered field's singularities confirm theoretical reasoning based on geometrical optics and Fresnel's zone method.