Performance analysis of shaped beam for multiple-beam antennas with array-fed reflectors

In this paper a general study of the relation between the performance of shaped beams and beam width and spacing has been done for multiple-beam antennas with array-fed reflectors. Four parameters indicating the performance of shaped beams are first denned. On the basis of these parameters, a mathematical model of beam-shaping is presented which determines the relation between the performance of shaped beams and beam width and spacing and then this model is resolved by using functional analysis theory. Through the discussion of the solution, the mechanism of beam shaping is shown in signal and system way. Then this mechanism and the relation are illustrated by the explanation of the simulation results of a practical example. According to the relation proved above, with given performance parameters, optimum beam width and spacing can be chosen, which correspondingly determine the optimum configuration of the antenna. A very simple formulation for choosing the optimum beam width and spacing is finally obtained, as a result of the discussion in this paper.