Active Admittance and Impedance of Hexagonally Sampled Dipole and Slot Connected Arrays

Closed-form expressions for the active admittance and impedance of connected arrays based on dipole and slot antennas, respectively, when elements are arranged in a hexagonal lattice, are introduced and discussed. The derivation is based on multilayer Green’s function spectral representation and hexagonal lattice properties. Different canonical cases of layered media are presented. The discussed formulas give insight on differences of the active impedance behavior between hexagonal and rectangular lattices, and provide a design tool for analyzing connected arrays, without resorting to full-wave simulations.