Abstract
During the past few years we have performed an effective wideband analysis for characterizing the electrodynamic behavior of phased array antennas, infinite periodic structures, frequency selective surfaces and related applications, with emphasis on gaining physical insight into the phenomenology of short-pulse radiation. The present contribution shows the current status of our network-oriented dyadic time domain Green's function (TD-GF) for a planar array of sequentially excited dipoles that constitutes a prototype study of sequentially short-pulsed radiation by infinite periodic arrays. The dispersive effects of the TD-Floquet waves (FW) and the consequences of a TE and TM field decomposition are discussed in details. In this network formulation, the equivalent TD transmission line (TL) voltages and currents excited by equivalent TD current generators are determined. An expression for the TM voltage TL-GF is provided for the first time in terms of incomplete Lipschitz-Hankel integrals and Bessel functions together with some remarks for its evaluation. As shown in previous publications for the scalar potentials, real-TD physical observables are determined by pairing TD Floquet waves with positive and negative indices. It is shown that the vectorial TD radiated field is reconstructed at any time with the superposition of a few TD-FWs.
Highlights
ENGINEERING interest in ultrawideband/short pulse phenomena pertaining to phased periodic planar arrays, suggests that an analytic framework parameterized directly in the time domain (TD) might lead to better problem-matched physics, and Manuscript received June 9, 2006; revised December 31, 2006
We have previously investigated canonical TD dipole-excited Green’s functions (GF) for infinite [1] and truncated [2] periodic line arrays, and for infinite [3] and semi-infinite [4] periodic planar arrays
Numerical examples of radiation from infinite planar arrays of dipoles with short-pulse band-limited excitation demonstrate the accuracy of the TD-Floquet waves (FW) algorithm, and illustrate the rapid convergence of the (TD-FW)-based field representation since only a few FW terms are required for describing the off-surface field radiated by the planar array
Summary
ENGINEERING interest in ultrawideband/short pulse phenomena pertaining to phased periodic planar arrays ( relevant in the contest of multilayer metamaterials), suggests that an analytic framework parameterized directly in the time domain (TD) might lead to better problem-matched physics, and Manuscript received June 9, 2006; revised December 31, 2006. A network (transmission line) approach has conventionally been utilized in the analysis and design of such structures These circumstances have motivated the present investigation of a TD network-oriented representation of the vector electromagnetic field radiated by an infinite periodic array of sequentially-pulsed electric dipoles, that constitutes a prototype study of sequentially short-pulsed radiation by infinite periodic arrays. Numerical examples of radiation from infinite planar arrays of dipoles with short-pulse band-limited excitation demonstrate the accuracy of the TD-FW algorithm, and illustrate the rapid convergence of the (TD-FW)-based field representation since only a few FW terms are required for describing the off-surface field radiated by the planar array. The nonphased case (all array dipoles simultaneously excited) of the TD analysis shown in this paper is strictly related the TD analysis of wave propagation in closed waveguides (see, for instance, [10]). The nonphased case corresponds to simultaneous excitation of all the dipoles
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