On two types of convergence in the method of auxiliary sources

G Fikioris - IEEE Transactions on Antennas and Propagation, 2006 - ieeexplore.ieee.org
The method of auxiliary sources (MAS) is often applied to problems involving an externally
illuminated, smooth, perfect electric conductor (PEC). One seeks to approximately satisfy the …

[图书][B] Mellin-transform method for integral evaluation: introduction and applications to electromagnetics

G Fikioris - 2022 - books.google.com
This book introduces the Mellin-transform method for the exact calculation of one-
dimensional definite integrals, and illustrates the application if this method to …

A Discontinuous Galerkin Surface-Wire Integral Equation for Efficient Analysis of Coaxial-Fed Antennas

BY Wu, ZL Li, Y He, CZ Yan… - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
The coaxial cable is widely employed in radio frequency (RF) engineering as a crucial
component for feeding or connecting structures that transmit RF signals or energy. Given its …

Input admittances arising from explicit solutions to integral equations for infinite-length dipole antennas

G Fikioris, C Valagiannopoulos - Progress In Electromagnetics Research, 2005 - jpier.org
When one uses integral equations to determine the input admittance of dipole antennas,
one must choose between two kernels, the exact and the approximate kernel, and also …

On the phenomenon of oscillations in the method of auxiliary sources

G Fikioris, I Psarros - IEEE transactions on antennas and …, 2007 - ieeexplore.ieee.org
When one applies the method of auxiliary sources to scattering problems involving perfect
conductors, one first seeks fictitious auxiliary currents located inside the conductor, and then …

Convergent fields generated by divergent currents in the method of auxiliary sources

G Fikioris, NL Tsitsas - The Generalized Multipole Technique for Light …, 2018 - Springer
A very simple scattering problem is considered, together with its solution obtained via the
Method of Auxiliary Sources (MAS). We show that it is possible to concurrently have …

On the oscillations appearing in numerical solutions of solvable and nonsolvable integral equations for thin-wire antennas

PJ Papakanellos, G Fikioris… - IEEE transactions on …, 2010 - ieeexplore.ieee.org
Differences between certain solvable and nonsolvable ill-posed integral equations, with the
same nonsingular kernel, are discussed. The main results come from constructing a …

Fast iterative solvers for numerical simulations of scattering and radiation on thin wires

XM Gu, TZ Huang, XL Zhao, HB Li… - Journal of Electromagnetic …, 2015 - Taylor & Francis
The method of moments for the simplified scattering and radiation on thin wire models can
lead to the large-scale linear systems with non-Hermitian Toeplitz-like coefficient matrices …

Unphysical moment-method solutions of an approximate integral equation of electrostatics [open problems in computational em]

G Fikioris, I Tastsoglou, GD Kolezas… - IEEE Antennas and …, 2017 - ieeexplore.ieee.org
The electrostatic charge distribution on a conducting cylindrical wire exactly satisfies an
integral equation. Many textbooks discuss an approximate form of this equation and solve it …

A new formulation of pocklington's equation for thin wires using the exact kernel

E Forati, AD Mueller, PG Yarandi… - IEEE transactions on …, 2011 - ieeexplore.ieee.org
Pocklington's integro-differential equation for thin wires with the exact kernel is reformulated
using a second derivative formula for improper integrals. This allows for analytical …