Investigation of the Branching of Solutions of the Problems of Synthesis of Radiating Systems with Flat Aperture According to a Given Amplitude Directivity Pattern

Abstract

We continue our investigation of the nonuniqueness of solutions in the problems of synthesis of radiating systems with flat apertures depending on two parameters characterizing the size of the aperture and the solid angle in which the required amplitude directivity pattern is defined. The existence and properties of the real (primary) solutions of four types are clarified. We study the problems of branching of primary solutions of the second type. In the first approximation, we determine the analytic representations of complex-valued solutions branched from a real solution and investigate their main properties. The numerical experiments are carried out to analyze the efficiency of real and branched complexvalued solutions.