Dolzhykov V. Statistical analysis and synthesis of the radiation systems in the Fresnel zone

Object - the electromagnetic field in the Fresnel zone and in the far zone of the radiation systems at presence of sources fluctuations; aim - development of the statistical theory of the radiation systems in the Fresnel zone: direct problems – the statistical theory section of the aperture radiation systems development; reverse problems are development of the synthesis method of the radiation systems by the given characteristics of the electromagnetic field in the Fresnel zone taking into account fluctuations of the gain-phase sources distribution; methods – mathematical physics, statistical antenna theory, probability theory and random process theory, function theory and functional analysis theory, the reversible problems of the mathematical physics theory, calculus mathematics; results – the radiation systems statistical theory section relating to the average local field performances of the focused and unfocused circular aperture radiation systems in the Fresnel zone is developed, general method tothe definition and solution of the radiation systems synthesis problems on the given distribution of the electromagnetic field in the Fresnel and far zones including taking into the account the fluctuations of the gain-phase sources distribution is developed; novelty – the problem of the average field intensity definition in the Fresnel zone of circular aperture in any focusing distances and in any statistical parameters of the fluctuation values (dispersion and correlation coefficient) is solved, the detailed analysis of the angular and longitudinal distributions of thе average field intensity in the Fresnel zone of the circular focused and unfocused apertures at its uniform and tapered towards the aperture edges axisymmetric excitation is conducted, general method to the correct definition of the radiation systems synthesis problems on the given, in the general case on the three-dimensional, distribution of the electromagnetic field in the Fresnel and far zones taking into account the fluctuations of the gain-phase distribution is developed, the got solution sensitivity to the reproduction inaccuracy of the optimum exciting field distribution and solution stability to the problem inaccuracy of the statistical parameters of fluctuations as the basic data of problem are explored, possibility of the superdirectivity effect at the presence of the gain-phase sources distribution fluctuations in the radiation system is shown; application – is planned to application; branch – radiophysics, antenna engineering, short-range radiolocation, medical diagnostics systems and hyperthermiа