Applying of Dolph-Chebyshev amplitude distributions by the criterion of maximum aperture efficiency for given side-lobe level

Abstract

The question of optimality Dolph-Chebyshev amplitude distributions of linear antenna arrays by the criterion of maximum aperture efficiency for given side-lobe level is considered in this article. It is shown that the beam width is not necessarily uniquely related to the magnitude of the aperture efficiency. This fact is physically justified. It based on the ratio of the coupling aperture efficiency with amplitude directivity pattern. Research of Dolph-Chebyshev amplitude distributions on expediency of its applying by the criterion of maximum value of aperture efficiency for given side-lobe level is carried out. Also, distribution data were analyzed by the specified criteria, depending on the length of the antenna array and the level of the side lobes. It is shown that the Dolph-Chebyshev amplitude distribution is optimal by the criterion of maximum aperture efficiency for given side-lobe level only in the range of the low side lobes (less than −30 dB) for almost any length of antenna array. For antenna arrays with a high level of side lobes (to −30 dB), optimal length is substantially limited, and should be considered at the stage of design in the selection of this type of distribution. Characteristics allow to determine the optimal length of antenna array are brought, for a given side lobe level and corresponding to them values of aperture efficiency.