Phasic Synthesis of the Antennas with Random Phasic Errors in the Radiating Array

The problems to be solved by modern radio electronic systems become more and more complicated and diversified. This process is accompanied by the growing of different demands for such systems’ characteristics and, respectively, active searching of considerable improvement of these characteristics. There the importance of the accidental factors (errors) of amplitude-phase distribution (APD) of antenna sources on parameters and potential characteristics of transmitting antenna and system at all plays an important role. This circumstance leads to working out and development of the statistic antenna theory – the theory of antennas with random sources. Concerning the statistic antenna theory, many works were published. The most comprehensive one is [1]. Also are discussed the methods and algorithms of the synthesis of phase distribution needed for the operation of the transmitting apertures when the receiving antenna is situated near the Fresnel area. This case takes place in the Wireless Power Transmission (WPT) problems. The problems of phase synthesis are complex nonlinear approximating problems that as well as for any non-linear ones, makes more difficult the elaboration of the methods of their solution. They created the problems of existence and uniqueness of the solution (i.e. required phase distribution) and also of the indicating of the iteration processes. The following algorithm appeared to be rather effective. The iterating process was used, on each step of which the linear sub problem was decided by using the method of low squares (with usage of the pseudo inverse of matrix) for the linear phase distribution (a set of values of the phases on each sub aperture)