**Authors:** Ahmed A. Kishk

**Source:** FERMAT, Volume 4, Article 1, Jul-Aug., 2014

**Abstract:** A simple and efficient procedure is
proposed to predict the performance of large finite
arrays from the measurements of a small array of
similar lattice. The procedure depends on the
knowledge of the mutual admittance matrix of the
small array from which the mutual admittance
matrix of the larger array is constructed by
ignoring the mutual coupling between the elements that
are external to the domain of the small array. Once
the admittance matrix has been constructed for the
large array, active input impedances of the array
elements under different scenarios can be predicted
easily. Also, from the active voltage terminal of the
elements, an array factor including the mutual
coupling can be computed to predict the radiation
patterns as well as the array gain. Here, an air
microstrip patch antenna excited by a hook-shaped probe
is considered as an array element. The results obtained
using the present method is verified by the full-wave
numerical analysis of the large array. The results
obtained serve to verify the concept.

**Index Terms:** Finite Array, Large Array, Microstrip
Antenna, Phased Array.

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