Peak Directivity Optimization Under Side Lobe Level Constraints in Antenna Arrays

Abstract

ABSTRACT This paper deals with a technique for the optimization of peak directivity under side lobe level constraints. The antennas treated are rectangular grid arrays of isotropic sources. The directivity of such an array may be expressed as a ratio of two functionals, called the Rayleigh quotient. By means of the projection matrix, the constrained maximization problem is transformed into the problem of an unconstrained maximization of a normalized quadratic function. A closed-form solution for the optimum peak directivity and the corresponding current distribution are found by solving for the biggest eigenvalue and the corresponding eigenvector in the generalized eigenvalue problem. Two types of arrays are considered. First, for linear arrays, the peak, directivity in the main beam is optimized under side lobe level constraints. Second, for square arrays with a rectangular grid, with the array pattern generated via the Baklanov transformation, a technique for optimizing the peak directivity under desire...