Closed-Form Expressions for Half Power Beam Width and Steering of Two-Dimensional Rectangular Binomial Array Antenna

The article presents new theoretical knowledge in the field of two-dimensional binomial array antennas. Analytical expressions are derived to determine the Half Power Beam Width (HPBW) of the array factor in azimuth and elevation, relative to the array normal. The theory is extended with closed form expressions for Array Factor (AF) steering in azimuth and elevation directions. The derived equations are valid for inter-element distances greater than quarter-wavelength. The theoretical exposition is verified with a numerical simulation software.