A Generalized Closed Form Expression of Directivity of Arbitrary Planar Antenna Arrays

A generalized unique expression for directivity of arbitrary planar antenna arrays having cos^vθ, v > -1/2 element pattern is derived. Parameters of the new equation, other than the source type, are operating frequency, location, excitation amplitude and excitation phase of each individual element on that structure. Simplicity and compactness of this equation saves the runtime, memory requirement and computer costs. Examples on three array sets have been given to illustrate the effectiveness of this expression. Result of each example is compared with that of referred work, or a standard numerical method to show the computational efficiency.