On methods employing auxiliary sources for 2-D electromagnetic scattering by noncircular shapes

NL Tsitsas, GP Zouros, G Fikioris… - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
Methods employing auxiliary sources are applied to electromagnetic scattering problems by
2-D noncircular scatterers. Specific cases are considered for which the singularities of the …

[HTML][HTML] The Method of Auxiliary Sources (MAS) in Computational Electromagnetics: A Comprehensive Review of Advancements over the Past Two Decades

PJ Papakanellos, NL Tsitsas, HT Anastassiu - Electronics, 2024 - mdpi.com
This paper presents a comprehensive review of research conducted on the Method of
Auxiliary Sources (MAS) over a period of the last 22 years, ie, since the last up-to-date …

Matrix decomposition algorithms for elliptic boundary value problems: a survey

B Bialecki, G Fairweather, A Karageorghis - Numerical algorithms, 2011 - Springer
We provide an overview of matrix decomposition algorithms (MDAs) for the solution of
systems of linear equations arising when various discretization techniques are applied in the …

Optimization of the method of auxiliary sources (MAS) for oblique incidence scattering by an infinite dielectric cylinder

NL Tsitsas, EG Alivizatos, DI Kaklamani… - Electrical …, 2007 - Springer
The analytic inversion of the Method of Auxiliary Sources (MAS) matrix plays an important
role in the rigorous investigation of the accuracy of the method. In this paper we investigate …

A combined asymptotic waveform evaluation and random auxiliary sources method for wideband solutions of general-purpose EM problems

MAM Hassan, AA Kishk - IEEE Transactions on Antennas and …, 2019 - ieeexplore.ieee.org
An asymptotic waveform evaluation (AWE) formulation for the random auxiliary sources
(RAS) method is presented to solve general-purpose electromagnetic (EM) problems. The …

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 …

A recursive algorithm for the inversion of matrices with circulant blocks

NL Tsitsas, EG Alivizatos… - Applied mathematics and …, 2007 - Elsevier
We investigate the recursive inversion of matrices with circulant blocks. Matrices of this type
appear in several applications of Computational Electromagnetics and in the numerical …

Convergence analysis of the currents and fields involved in the method of auxiliary sources applied to scattering by PEC cylinders

M Kouroublakis, NL Tsitsas… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
The method of auxiliary sources (MAS) is an established technique for the numerical
solution of electromagnetic shielding and scattering problems exhibiting an increasing …

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 block matrices associated with discrete trigonometric transforms and their use in the theory of wave propagation

NL Tsitsas - Journal of Computational Mathematics, 2010 - JSTOR
Block matrices associated with discrete Trigonometric transforms (DTT's) arise in the
mathematical modelling of several applications of wave propagation theory including …