Abstract: With the view of the optimal approximation for the formed beams.the radiation pattern and the field distribution in the focus zone of Fresnel zone plate antenna approximation with the fields of the linear array have been studies based on the methods of weighted residue and Prony,which suit for the approximation for the real patterns of various Fresnel zone focusing configuration.The work for the design of the linear array with high performance is crucial,as well as promotes the penetrating into the mechanic investigation of the Fresnel zone focusing configuration farther.