Time domain Green´s function for a phased semi-infinite periodic line array of dipoles

We have begun a systematic investigation of the time domain (TD) behavior of Green´s functions which are relevant for the characterization of truncated planar periodic arrays, with emphasis on the TD Floquet waves (FW) in the propagating and evanescent parameter regimes. Our principal aim is to understand the TD wave physics and phenomenologies on simple prototypes, invoking various methods that synthesize the solution from different perspectives. The first prototype, an infinite phased periodic line array of axial dipole radiators arranged along the axis of a cylindrical (/spl rho/,z) coordinate system has been studied in Felsen and Capolino (1998). This prototype is a basic building block for transverse truncated plane arrays formed by a finite number of infinite line sources, which has so far been studied only in the frequency domain (Capolino et al. 1998). Truncation aIong the axis of a phased line array of dipoles is explored in this paper for the frequency domain (FD) and TD. This modification of the infinite line dipole array leads to a new set of FD and TD truncation phenomena.