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Search Results (4)

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Keywords = method of auxiliary sources (MAS)

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19 pages, 1578 KiB  
Review
The Method of Auxiliary Sources (MAS) in Computational Electromagnetics: A Comprehensive Review of Advancements over the Past Two Decades
by Panagiotis J. Papakanellos, Nikolaos L. Tsitsas and Hristos T. Anastassiu
Electronics 2024, 13(17), 3520; https://doi.org/10.3390/electronics13173520 - 4 Sep 2024
Cited by 4 | Viewed by 1558
Abstract
This paper presents a comprehensive review of research conducted on the Method of Auxiliary Sources (MAS) over a period of the last 22 years, i.e., since the last up-to-date survey was published. MAS is a very attractive numerical technique due to its simple [...] Read more.
This paper presents a comprehensive review of research conducted on the Method of Auxiliary Sources (MAS) over a period of the last 22 years, i.e., since the last up-to-date survey was published. MAS is a very attractive numerical technique due to its simple algorithmic structure and the generally low computational cost it requires in terms of memory and CPU time; this is why it has been applied to a vast variety of cases, as concluded by the long citations list included. After a short introduction summarizing the fundamental concepts of the method, references since 2002 are categorized, briefly described, and commented on. This work is intended to assist every researcher who is involved in MAS computations, providing an exhaustive, to the best of the authors’ knowledge, list of related publications. Full article
(This article belongs to the Special Issue Integral and Differential Equation Methods in Electromagnetic Radiation and Scattering)
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19 pages, 3652 KiB  
Review
Advanced Numerical Methods for Graphene Simulation with Equivalent Boundary Conditions: A Review
by Yansheng Gong and Na Liu
Photonics 2023, 10(7), 712; https://doi.org/10.3390/photonics10070712 - 22 Jun 2023
Cited by 2 | Viewed by 2152
Abstract
Since the discovery of graphene, due to its excellent optical, thermal, mechanical and electrical properties, it has a broad application prospect in energy, materials, biomedicine, electromagnetism and other fields. A great quantity of researches on the physical mechanism of graphene has been applied [...] Read more.
Since the discovery of graphene, due to its excellent optical, thermal, mechanical and electrical properties, it has a broad application prospect in energy, materials, biomedicine, electromagnetism and other fields. A great quantity of researches on the physical mechanism of graphene has been applied to engineering in electromagnetism and optics. To study the properties of graphene, different kinds of numerical methods such as the mixed finite element method (Mixed FEM), the mixed spectral element method (Mixed SEM), Method of Auxiliary Sources (MAS), discontinuous Galerkin time-domain method (DGTD) and interior penalty discontinuous Galerkin time domain (IPDG) have been developed for simulating the electromagnetic field effects of graphene and equivalent boundary conditions such as impedance transmission boundary condition (ITBC), surface current boundary condition (SCBC), impedance matrix boundary condition (IMBC) and surface impedance boundary condition (SIBC) have been employed to replace graphene in the computational domain. In this work, the numerical methods with equivalent boundary conditions are reviewed, and some examples are provided to illustrate their applicability. Full article
(This article belongs to the Special Issue Recent Trends in Computational Photonics)
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16 pages, 2036 KiB  
Article
Analysis of Electromagnetic Scattering from Large Arrays of Cylinders via a Hybrid of the Method of Auxiliary Sources (MAS) with the Fast Multipole Method (FMM)
by Eleftherios Mastorakis, Panagiotis J. Papakanellos, Hristos T. Anastassiu and Nikolaos L. Tsitsas
Mathematics 2022, 10(17), 3211; https://doi.org/10.3390/math10173211 - 5 Sep 2022
Cited by 10 | Viewed by 2014
Abstract
The Method of Auxiliary Sources (MAS) is an established technique for the numerical solution of electromagnetic (EM) scattering and radiation problems. This paper presents a hybrid of MAS with the Fast Multipole Method (FMM), which provides a strategy for reducing the computational cost [...] Read more.
The Method of Auxiliary Sources (MAS) is an established technique for the numerical solution of electromagnetic (EM) scattering and radiation problems. This paper presents a hybrid of MAS with the Fast Multipole Method (FMM), which provides a strategy for reducing the computational cost and for solving large-scale problems without notable accuracy loss (and in a reasonable time). The hybrid MAS-FMM scheme is applied to the problem of EM scattering from an arbitrarily large array of lossless/lossy dielectric cylinders. Numerical results are presented to verify the MAS and MAS-FMM schemes, as well as to illuminate the improvements stemming from the proposed hybridization (especially the ones regarding the associated complexity and computational cost). A few concluding remarks offer a summary of this work, along with a list of possible future extensions. Full article
(This article belongs to the Special Issue Analytical Methods in Wave Scattering and Diffraction)
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16 pages, 3608 KiB  
Article
Electromagnetic Scattering from Surfaces with Curved Wedges Using the Method of Auxiliary Sources (MAS)
by Vissarion G. Iatropoulos, Minodora-Tatiani Anastasiadou and Hristos T. Anastassiu
Appl. Sci. 2020, 10(7), 2309; https://doi.org/10.3390/app10072309 - 27 Mar 2020
Cited by 7 | Viewed by 3021
Abstract
The method of auxiliary sources (MAS) is utilized in the analysis of Transverse Magnetic (TM) plane wave scattering from infinite, conducting, or dielectric cylinders, including curved wedges. The latter are defined as intersections of circular arcs. The artificial surface, including the auxiliary sources, [...] Read more.
The method of auxiliary sources (MAS) is utilized in the analysis of Transverse Magnetic (TM) plane wave scattering from infinite, conducting, or dielectric cylinders, including curved wedges. The latter are defined as intersections of circular arcs. The artificial surface, including the auxiliary sources, is shaped in various patterns to study the effect of its form on the MAS accuracy. In juxtaposition with the standard, conformal shape, several deformations are tested, where the auxiliary sources are forced to approach the tip of the wedge. It is shown that such a procedure significantly improves the accuracy of the numerical results. Comparisons of schemes are presented, and the optimal auxiliary source location is proposed. Full article
(This article belongs to the Special Issue Numerical and Analytical Methods in Electromagnetics)
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