Synthesis and analysis of a frequency-scanned planar waveguide array focused in the Fresnel zone

A 2D array of radiators excited by the modes of a planar array of parallel waveguides and focused in the Fresnel zone is considered. The problem of determining the positions of array radiators for focusing the field at a finite distance from the array aperture is solved for the cases of plane and cylindrical fronts of the initial distribution of the phases of waveguide modes. A phenomenological model of the slotted-waveguide array is used to determine the position of the focal line, the aberration of the scattering spot, and the frequency scanning sector.