Convergence analysis and oscillations in the method of fictitious sources applied to dielectric scattering problems

CA Valagiannopoulos, NL Tsitsas… - Journal of the Optical …, 2011 - opg.optica.org
Several wave scattering phenomena in optics are modeled by the method of fictitious
sources (MFS). Despite its interesting features, the effectiveness of the MFS and its …

Radiation -Factors of Thin-Wire Dipole Arrangements

P Hazdra, M Capek, J Eichler - IEEE Antennas and Wireless …, 2011 - ieeexplore.ieee.org
In this letter, we present an investigation of the radiation Q-factors of two coupled thin dipole
antennas with sinusoidal current distribution. The approach is based on novel rigorous …

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 …

Superdirective-type near fields in the method of auxiliary sources

P Andrianesis, G Fikioris - IEEE transactions on antennas and …, 2012 - ieeexplore.ieee.org
According to recent works, when one applies the method of auxiliary sources (MAS) to
scattering problems, it is possible for the MAS currents to be strongly oscillatory. For two …

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 …

Study of convergence, divergence, and oscillations in method-of-auxiliary-sources (MAS) and extended-integral-equation (EIE) solutions to a simple cavity problem

G Fikioris, ON Bakas, GP Zouros - IEEE transactions on …, 2013 - ieeexplore.ieee.org
The Method of Auxiliary Sources (MAS) is a well-known method of computational
electromagnetics and physics. Previous studies of MAS solutions to exterior scattering …

Fundamentals of thin-wire integral equations with the finite-gap generator—Part I

I Tastsoglou, G Fikioris - IEEE transactions on antennas and …, 2013 - ieeexplore.ieee.org
We discuss certain fundamental properties of Hallén's and Pocklington's equations with the
finite-gap generator (FGG), which has long been used as a feed model for cylindrical …

On the nature of oscillations in discretizations of the extended integral equation

G Fikioris, NL Tsitsas, I Psarros - IEEE transactions on …, 2011 - ieeexplore.ieee.org
Using analytical methods, previous studies have shown that it is possible for oscillations to
occur in the auxiliary surface current determined by applying the method of auxiliary sources …

On the extended thin-wire kernel

PJ Papakanellos, P Paschalidis… - IEEE Transactions on …, 2016 - ieeexplore.ieee.org
A number of recent works have shown that moment-method solutions of Hallén's and
Pocklington's equations with the approximate kernel present undesirable and unphysical …

Surface-wave and superdirectivity aspects of effective current for linear antennas

G Fikioris, PJ Papakanellos, TK Mavrogordatos - SIAM Journal on Applied …, 2013 - SIAM
Previous papers have defined the concept of effective current for linear antennas as a
method of postprocessing the unphysical solutions obtained by applying discretization …