High-frequency Green's function for a semi-infinite array of electric dipoles on an infinite grounded stratified dielectric slab: part II-spatial domain parameterization

• Published in: IEEE transactions on antennas and propagation Vol. 53; no. 4; pp. 1364 - 1376
• Main Authors: Maci, S., Toccafondi, A., Polemi, A., Felsen, L.B.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.04.2005; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Antenna arrays; Antennas; Applied sciences; Arrays; Asymptotic properties; Dielectrics; Diffraction; Exact sciences and technology; Frequency; Green's function methods; Green's functions; high frequency; Linear antenna arrays; Parametrization; patch array antennas; Phased arrays; Radiocommunications; Slabs; Spectra; Studies; Surface waves; Telecommunications; Telecommunications and information theory; Spectral method; Printed antenna; Dipole antenna arrays; Guided wave; Surface wave; Wave interaction; Phased array antenna; Leaky wave; Parameterization; Green function; Floquet method; Diffraction; Kirchhoff law; patch array antennas; Electric dipole; High frequency; Antenna array
• ISSN: 0018-926X; 1558-2221
• DOI: 10.1109/TAP.2005.844445

This second part of a three-paper sequence deals with the spatial domain parametrization and physical interpretation of the relevant asymptotic high-frequency Green's function for a semi-infinite phased array of parallel dipoles on an infinite stratified grounded dielectric slab. This array Green's function (AGF) has been previously derived using a spectral domain formulation; the relevant asymptotic solution contains contributions associated with Floquet waves (FWs), and corresponding surface, leaky and diffracted waves excited at the array edge. Both the truncated-FW series and the series of corresponding diffracted field contributions exhibit excellent convergence properties. In the present paper, through application of the Poisson summation, the AGF for a plane-stratified grounded dielectric slab is developed in terms of space domain FW-dependent Kirchhoff radiation integrals which are synthesized by superposition of periodicity-modulated phased line sources oriented parallel to the edge. The asymptotic evaluation of each Kirchhoff radiation integral leads to a grouping of various asymptotic terms, which provide physically appealing interpretations of a variety of wave processes, encompassing slab-modulated propagating (radiating) and evanescent (nonradiating) FWs, slab-guided surface waves (SWs) or leaky waves (LWs), and their edge-coupled phenomenologies. The present space domain parametrization leads to the same asymptotics as that from the spectral domain parametrization, but allows a clear description of the spatial wave interaction processes.