Development of a new method for pattern synthesizing of the concentric ring arrays with minimum number of rings

Abstract

In this paper, a new method is proposed for pattern synthesizing of the concentric ring arrays with minimum number of rings. The method is established based on a hybrid combination of the conventional least square method and the Richardson technique. Using a sampling function, a system of linear equations is created. After that, using the QR factorization and Richardson techniques, the complex excitation coefficients of the array elements are obtained. Furthermore, it is shown that using a simple try and error process, the number of array rings can be reduced. To verify the accuracy and the advantages of the proposed technique, a few well-known patterns are investigated and the obtained results are compared.