This communication identifies and proposes the generalized templates of directivity expressions for antenna arrays with identical omnidirectional and isotropic elements. Parameters of this expression are the element patterns, interelement distances,… Click to show full abstract
This communication identifies and proposes the generalized templates of directivity expressions for antenna arrays with identical omnidirectional and isotropic elements. Parameters of this expression are the element patterns, interelement distances, and the complex excitation coefficients of all elements. It is further shown that the proposed expression can also satisfactorily calculate the directivity of antenna elements. Examples show the efficiency of the proposed expressions in terms of computational speed, accuracy, and memory requirement. Simpson’s 1/3rd rule is followed for numerical pattern integration.
               
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