Synthesis of Circular Antenna Arrays for Realization of Broadside Chebyshev Linear Array Patterns in the Elevation Plane

Abstract

Most of the recent state of the art circular antenna arrays (CAA) synthesis techniques attempted to synthesize the Chebyshev linear array patterns in the azimuth plane. In this paper, a new Genetic algorithm optimization-based technique for Uniform CAAs synthesis to realize a desired Chebyshev pattern in the elevation plane is introduced. The proposed technique maintains the same number of antenna elements as the linear antenna array. While the CAA diameter, elements angular distribution, and elements excitations are optimized to synthesize the desired pattern. The CAA diameter is optimized around the array size of the linear antenna array. And the angular positions of the antenna elements are non-uniformly distributed on the circle circumference using the GA optimization. While a closed-form expression for the corresponding elements excitations is derived to determine these excitations using a deterministic equation solving technique. Several simulations are performed to verify the effectiveness of the proposed technique.