Spectral dyadic Green's function formulation for planar integrated structures

Abstract

The dyadic Green's function, transformed in the Fourier domain, is evaluated in the general case of a planar integrated structure fed by a distribution of tridimensional electrical sources arbitrarily located in the dielectric substrate. The analysis is carried out on the basis of the Maxwell's equations written for the time variation e)*' and transformed in the Fourier domain. The elements of the spectral dyadic Green's function are evaluated via the transmission-line analogy by making use of very general equivalent circuits of the planar structure determined for the case of transverse electric (TE) and transverse magnetic (TM) waves according to a general tridimensional source excitation. General properties among the elements of the Green's function are obtained, due to the electrical and geometrical symmetry of the structure, and the different roles played by the independent terms of the matrix are discussed. An expression for the power produced by the sources, evaluated through its spectral power density, is derived, and the formal representations in the Fourier domain of the input impedance for vertical and transverse sources are presented.

Design of an Active Integrated Antenna for a Pcmcia Card

“…The solution of this equation is performed here in the SD, where the Green's dyad of the isotropic grounded slab may be expressed in closed form [20], and is demanded to a Method of Moments (MoM) numerical tool [21][22][23], employing regular roof-top basis functions [22]. Due to the small metallizations of the HIGP, the number of unknowns rapidly increases with the extension of the HIGP itself, and, thus, an acceleration technique is needed.…”

“…Therefore, a proper optimization technique, based on the Genetic Algorithms (GAs) [13], has been employed to optimize the overall antenna module (radiating element + HIGP). The analysis tool is based on the Spectral Domain (SD) full-wave analysis [14] together with a Method of Moment (MoM) numerical technique [15]. For what concerns the passive and active circuitries, instead, they have been designed through AWR Microwave Office, which is a commercial tool employing harmonic balance techniques for the analysis and synthesis of RF non linear circuits.…”

Concise Spectral Formalism in the Electromagnetics of Bianisotropic Media

“…These relations are useful particularly for reciprocal medium which is invariant under complementary operation, since one can derive certain part (e.g., tp) simply from the other (e.g., pt) without having to compute everything from scratch [41,42]. Writing out explicitly, say for G C tp , we have…”

Dyadic Green's Functions for Unbounded and Two-Layered General Anisotropic Media

“…They include the Fourier transform method [6][7][8][9][10], the transition matrix method proposed by Krowne [11], the equivalent boundary method by Mesa et al [12] and the cylindrical vector wave function method by Li and his group [13,14]. The transmission line method is proposed in [15], in which an isotropic medium is analyzed based upon the decomposition of fields into TE and TM modes.…”