Two-dimensional planar and crossover-free beamforming network architecture

An antenna system comprising:

• an array of antennas disposed in a predetermined non-linear pattern, the array of antennas comprising a plurality of antennas and having a two-dimensional field of view;
• and
• a two-dimensional beamforming network (BFN) disposed entirely on a single first surface, and having a one-dimensional array-side interface disposed on the first surface and a one-dimensional beam-side interface disposed on the first surface;
• wherein:
• the antennas of the array of antennas are individually communicably coupled to the array-side interface, such that segments of the beam-side interface map to respective pixels in the two-dimensional field of view;
• the predetermined non-linear pattern defines a second surface;
• the array of antennas comprises a plurality of disjoint sets of antennas;
• each disjoint set of antennas comprises a plurality of antennas of the array of antennas;
• and
• for each disjoint set of antennas, each antenna of at least a non-empty subset of the disjoint set of antennas is perpendicularly displaced a respective distance along the second surface from a longitudinal axis of a hypothetical linear array of antennas disposed on the second surface.