Topic
Computational electromagnetics
About: Computational electromagnetics is a research topic. Over the lifetime, 6412 publications have been published within this topic receiving 113727 citations. The topic is also known as: Electromagnetic field analysis.
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TL;DR: In this article, the authors present guidelines and quantitative recipes for adoptions of optimal higher order parameters for computational electromagnetics (CEM) modeling using the method of moments and the finite element method.
Abstract: General guidelines and quantitative recipes for adoptions of optimal higher order parameters for computational electromagnetics (CEM) modeling using the method of moments and the finite element method are established and validated, based on an exhaustive series of numerical experiments and comprehensive case studies on higher order hierarchical CEM models of metallic and dielectric scatterers. The modeling parameters considered are: electrical dimensions of elements (h -refinement), polynomial orders of basis functions (p-refinement), orders of Gauss-Legendre integration formulas (integration accuracy), and geometrical (curvature) orders of elements in the model. The goal of the study, which is the first such study of higher order parameters in CEM, is to reduce the dilemmas and uncertainties associated with the great modeling flexibility of higher order elements, basis and testing functions, and integration procedures (this flexibility is the principal advantage but also the greatest shortcoming of the higher order CEM), and to ease and facilitate the decisions to be made on how to actually use them, by both CEM developers and practitioners.
23 citations
TL;DR: The implicitly restarted generalized minimum residual method (IRGMRES) combined with the fast Fourier transform (FFT) technique is developed for solving three-dimensional weak-form volume electric field integral equation of electromagnetic scattering problems.
Abstract: The implicitly restarted generalized minimum residual method (IRGMRES) combined with the fast Fourier transform (FFT) technique is developed for solving three-dimensional (3-D) weak-form volume electric field integral equation of electromagnetic scattering problems. On several electromagnetic scattering problems, the resulted IRGMRES-FFT method converges two-three times faster than the conventional biconjugate gradient (BCG)-FFT method. Comparison with other Krylov-subspace iterative fast Fourier transforms methods also demonstrates the efficiency of the IRGMRES-FFT method.
23 citations
17 Oct 2011
TL;DR: The method uses the field transfer function computed for deterministic fields and can be combined with available electromagnetic modeling tools to computation of noisy electromagnetic fields excited by spatially distributed noise sources with arbitrary correlation.
Abstract: In this paper we present a methodology for the numerical computation of noisy electromagnetic fields excited by spatially distributed noise sources with arbitrary correlation. The method uses the field transfer function computed for deterministic fields and can be combined with available electromagnetic modeling tools.
23 citations
TL;DR: The most complex model the authors consider here is a multivariate rational function, which interpolates a number of simulation data, which minimizes both the truncation error and the number of data since each evaluation of the simulation model is computationally costly.
Abstract: The behavior of certain electromagnetic devices or components can be simulated with great detail in software. A drawback of these simulation models is that they are very time consuming. Since the accuracy required for the computational electromagnetic analysis is usually only 2-3 significant digits, an approximate analytic model is sometimes used instead, as noted by Lehmensiek and Meyer in 2001. The most complex model we consider here is a multivariate rational function, which interpolates a number of simulation data. The interpolating rational function is constructed in such a way that it minimizes both the truncation error and the number of simulation data since each evaluation of the simulation model is computationally costly.
23 citations
TL;DR: In this article, it was shown that both integral equations have exactly p linearly independent solutions where p is the topological genus of S. The authors also investigated the integral equations ±a(x) + ∝s n(x), × [x1¦x − y¦ × a(y)] dSy = 0 which are of interest in the study of the behavior of totally reflected stationary electromagnetic wave fields as the frequency tends to zero.
23 citations