Synthesizing a uniformly spaced array pattern using integral operator for removing progressive phase shift

Abstract

In this article, an analytical technique is introduced to obtain the excitation coefficients of uniformly spaced linear antenna arrays in order to achieve a desired array factor. By integration of the prescribed array factor, the array factor dependency to the progressive phase shift is eliminated. A new system of linear equations is consequently obtained whose solution represents the excitation coefficients of the array. Some examples are presented to verify the accuracy of the introduced method. The performance of this strategy is compared with those obtained by the other well-known techniques such as Woodward-Lawson and Fourier transform. It is shown that the presented method estimates the desired array pattern with a very good precision.