Abstract
A number of expressions for calculating the active impedances of the radiating elements of large linear and planar antenna arrays with allowance for the interaction of the entire set of the elements are presented. The expressions are applicable not only to the radiating elements distant from the edge of the array but also to the edge and corner elements. The expressions are based on the formulas for certain sums of elementary and higher transcendental functions that give simple closed-form expressions for the sums of mutual impedances. As an illustration, the resistances of weakly directional radiating elements in dense arrays, where the mutual coupling of the elements is extremely strong and results in important effects, are calculated.
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