## Delta-gap port model for surface-volume-surface electric field integral equation

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##### Date

2019-08-15

##### Authors

Aljamal, Ammar

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##### Abstract

This thesis presents a delta-gap source model for recently introduced Surface-
Volume-Surface Electric Field Integral Equation (SVS-EFIE). The SVS-EFIE is a
class of single-source integral equations (SSIEs), which is obtained from the combination
of the volumetric equivalence principle with the conventional single-source eld
representation. The classical delta-gap port model is extended for use in SVS-EFIE for
the solution of antenna radiation problem, extraction of network parameters in 3D interconnects,
and characterization of the microwave circuits. The delta-gap source model
for SVS-EFIE is derived from the conventional delta-gap model used in the classical surface EFIE. However, due to single-source nature of the SVS-EFIE equation, the net
current in the port is determined through integration of the volumetric conductivity
current density in the port cross-section. The proposed delta-gap driven SVS-EFIE is
discretized using Method of Moments (MoM) with Rao-Wilton-Glisson (RWG) basis
functions representing the surface current and piece-wise basis functions in the
tetrahedrons discretizing the current in the conductor volume.
The proposed model of port excitation in SVS-EFIE is validated through the studies
of the current distribution and the frequency-dependent input impedance of a dipole
antenna. Extracted input impedance values obtained with SVS-EFIE are compared
against those in the classical EFIE as well as experimental values. Convergence
analysis of the computed values of the input impedance with progressively increasing
densities of the MoM meshes is performed. Input impedance extracted with delta-gap excited SVS-EFIE shows stable values upon mesh refi nement unlike those in
the standard surface EFIE driven by a delta-gap port. This mesh stability of the extracted
network parameters upon delta-gap excitation as well as the ability of the SVS-EFIE
to rigorously compute volumetric eld behaviour and, hence, loss behaviour in the
presence of skin-, corner- and proximity-effects makes it an attractive alternative to
the classical EFIE solutions for antenna analysis and circuit characterization.

##### Description

##### Keywords

(Computational Electromagnetics, Integral Equation, SVS-EFIE, Antenna, Delta-Gap)