Familiarise yourself with the various functions in FEKO using the tutorial files provided, but do not show the menus in Feko used to create the antenna patterns. Antenna geometries and radiation patterns are required. a) Provide a fairly brief (about 2 pages) explanation of the Method of Moments (MOM) on which many antenna simulation algorithms (like in FEKO) are based. b) Generate the far field power radiation pattern(s) for a \( \lambda / 2 \) dipole and a horn antenna and interpret your results.

Familiarize yourself with the array antenna facility in FEKO. a) Build a 7-element array antenna using either point sources or dipole elements. Make sure the elements are aligned in direction with the principal axis of the antenna, which needs to be in vertical direction (usually z-direction). b) Vary the element spacing (from element centre to centre) from \( 0.6 \lambda \) to \( 1 \lambda \) in \( 0.1 \lambda \) steps and show the effect on the far field power radiation pattern. c) Discuss your results.

a) Introduce a tilt angle into the main beam direction by applying a phase progression in the feed. State the phase progression equation and calculate the phase progressions for the required tilt angles below. b) Use the array with \( 0.9 \lambda \) element spacing. Vary the tilt angle from \( 0^{\circ} \) (Broadside) to \( 70^{\circ} \) in \( 10^{\circ} \) steps. c) Document the change in beam direction and shape. Supply a brief but meaningful analysis of this investigation