Synthesis and analysis of a planar waveguide array with two-dimensional frequency scanning focused in the Fresnel zone

A 2D array of radiators with raster frequency scanning focused in the Fresnel zone is presented. The problem of determining the radiator positions for field focusing at a finite distance from the array plane is solved. An approximate matrix model of the array antenna describing its properties as a microwave multiport and allowing determination of the distribution of radiation sources in the array aperture is proposed. The problem of improvement of the array matching in scanning ranges is considered. An approximate model describing radiation from the array is built. This model is used for determining the position and shape of the scanning surface and the field distribution inside the focal spot as well as for the analysis of the dynamics of the field maximum in the frequency scanning sector.