Abstract

To gain an understanding of the sparsely explored time domain (TD) behavior of periodic arrays of radiating or scattering elements (phased array antennas, frequency selective surfaces and related applications), we have initiated a systematic investigation of relevant canonical TD dipole-excited Green's functions (GF), which so far include those for infinite and truncated line periodic arrays, as well as for infinite planar periodic arrays. Such Green's functions have been parameterized in terms of TD-Floquet waves (FW) of cylindrical and planar type, and truncation-induced TD-FW-modulated diffractions. Such waves on semi-infinite and finite square arrays of dipoles have been investigated in the frequency domain (FD), and shown to be useful in practical array applications. The present contribution extends our TD studies to an infinite periodic sequentially pulsed semi-infinite planar array. The phenomenology associated with truncated TD-FW and truncation-induced diffraction is explained in terms of instantaneous frequencies aided by asymptotic parameterization. Preliminary numerical results demonstrate the efficiency of the TD-FW algorithms.

Highlights

  • To gain a n understanding of the sparsely explored time domain (TD) behavior of periodic arrays of radiating or scattering elements, we have initiated a systematic investigation of relevant canonical T D dipoleexcited Green’s functions (GF), which so far include those for infinite and truncated line periodic arrays [l],[2], as well as for infinite planar periodic arrays [3].Such Green’s functions have been parameterized in terms of TDFloquet waves (FW) of cylindrical [l] and planar type [3], and truncation-induced TD-FW-modulated diffractions [Z]. Such waves on semi-infinite and finite square arrays of dipoles have been investigated in the frequency domain (FD) [4], and shown to be useful in practical array applications [5]

  • The phenomenology associated with truncated TD-FW and truncation-induced diffraction is explained in terms of instantaneous frequencies aided by asymptotic parameterization

  • Preliminary numerical results demonstrate the efficiency of the TD-FW algorithms

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Summary

Introduction

To gain a n understanding of the sparsely explored time domain (TD) behavior of periodic arrays of radiating or scattering elements (phased array antennas, frequency selective surfaces and related applications), we have initiated a systematic investigation of relevant canonical T D dipoleexcited Green’s functions (GF), which so far include those for infinite and truncated line periodic arrays [l],[2], as well as for infinite planar periodic arrays [3].Such Green’s functions have been parameterized in terms of TDFloquet waves (FW) of cylindrical [l] and planar type [3], and truncation-induced TD-FW-modulated diffractions [Z].Such waves on semi-infinite and finite square arrays of dipoles have been investigated in the frequency domain (FD) [4], and shown to be useful in practical array applications [5]. Title Pulsed radiation by a phased semi-infinite periodic planar array of dipoles Pulsed Radiation by a Phased Semi-Infinite Periodic Planar Array of Dipoles

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