Synthesis of a two-dimensional array antenna with elements arbitrarily distributed over the plane radiating aperture

A synthesis method is proposed in which functions describing the patterns o f the array elements and a specified pattern are transformed into even func tions. Then, the Fourier spectra of these functions are calculated using th e cosine Fourier transform. The amplitude-phase distribution over the array elements is determined by solving a system of linear equations. It is show n that the amount of calculations in this method can be reduced (in compari son to that required in the approximation synthesis methods) without any no ticeable changes in the approximation to the specified pattern. This is acc omplished by restricting the number of Fourier harmonics involved in the sy nthesis.