A new method for the analysis and design of Chebyshev arrays

Traditionally, the analysis and design of Chebyshev arrays have been carried out with the help of Chebyshev polynomials. This approach has the drawback that every time the number of elements is changed a different Chebyshev polynomial needs to be considered. In the present paper, a new approach to the analysis and design of Chebyshev arrays is presented which makes no direct use of Chebyshev polynomials. The array factor is expressed in terms of cosine or cosine-hyperbolic functions based on which all analysis and design steps are carried out. A general formulation for even or odd but otherwise arbitrary number of elements is presented. The minimum number of elements required to achieve the desired beamwidth and side-lobe level is obtained in a single step without need for an iterative process. Numerical results for example cases of endfire and broadside arrays are presented