A Floquet waves (FW) representation is used to efficiently calculate the active free-space Green's function. The representation interprets the radiation of a finite phased array as a superposition of FW distributions on the global aperture of the array. The Green's function of an array of dipoles which is truncated in one dimension and infinite in the other is formulated. The dipoles are considered of uniform amplitude and linearly phased for including a scan beam description. By invoking the locality of the high-frequency phenomena, the actual finite distribution may be treated by using local edges.