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: The methods presented in this paper are aimed to overcome numerical difficulties of closed mathematical solutions of the frequency-dependent line equations in the time domain.
Abstract: The parameters of transmission lines with ground return are highly dependent on the frequency. Accurate modelling of this frequency dependence over the entire frequency range of the signals is of essential importance for the correct simulation of electromagnetic transient conditions. Closed mathematical solutions of the frequency-dependent line equations in the time domain are very difficult. Numerical approximation techniques are thus required for practical solutions. The oscillatory nature of the problem, however, makes ordinary numerical techniques very susceptible to instability and to accuracy errors. The, methods presented in this paper are aimed to overcome these numerical difficulties.
876 citations
TL;DR: This paper presents a tutorial and overview of genetic algorithms for electromagnetic optimization, showing genetic-algorithm optimization to be suitable for optimizing a broad class of problems of interest to the electromagnetic community.
Abstract: This paper presents a tutorial and overview of genetic algorithms for electromagnetic optimization. Genetic-algorithm (GA) optimizers are robust, stochastic search methods modeled on the concepts of natural selection and evolution. The relationship between traditional optimization techniques and the GA is discussed. Step-by-step implementation aspects of the GA are detailed, through an example with the objective of providing useful guidelines for the potential user. Extensive use is made of sidebars and graphical presentation to facilitate understanding. The tutorial is followed by a discussion of several electromagnetic applications in which the GA has proven useful. The applications discussed include the design of lightweight, broadband microwave absorbers, the reduction of array sidelobes in thinned arrays, the design of shaped-beam antenna arrays, the extraction of natural resonance modes of radar targets from backscattered response data, and the design of broadband patch antennas. Genetic-algorithm optimization is shown to be suitable for optimizing a broad class of problems of interest to the electromagnetic community. A comprehensive list of key references, organized by application category, is also provided.
855 citations
Book•
26 Aug 2021
TL;DR: In this article, the Fast Multipole Method (FMM) was used to solve the problem of two-dimensional problems with three-dimensional surfaces, and the Matrix-Vector Product Addition Theorem (MVPIT) was applied to solve it.
Abstract: PREFACE Computational Electromagnetics Computational Electromagnetics Algorithms A Brief Review of Electromagnetics Maxwell's Equations Electromagnetic Boundary Conditions Formulations for Radiation Vector Potentials Near and Far Fields Equivalent Problems Surface Integral Equations The Method of Moments Electrostatic Problems The Method of Moments Common Two-Dimensional Basis Functions Solution of Matrix Equations Thin Wires Thin Wire Approximation Thin Wire Excitations Solving Hallen's Equation Solving Pocklington's Equation Thin Wires of Arbitrary Shape Examples two-dimensional Problems Two-Dimensional EFIE Two-Dimensional MFIE Examples Bodies of Revolution BOR Surface Descriptions Surface Current Expansion on a BOR EFIE for a Conducting BOR MFIE for a Conducting BOR Notes on Software Implementation Examples three-dimensional Problems Representation of Three-Dimensional Surfaces Surface Currents on a Triangle EFIE for Three-Dimensional Conducting Surfaces MFIE for Three-Dimensional Conducting Surfaces Notes on Software Implementation Considerations for Modeling with Triangles Examples The Fast Multipole Method The Matrix-Vector Product Addition Theorem FMM Matrix Elements One-Level Fast Multipole Algorithm Multilevel Fast Multipole Algorithm Notes on Software Implementation Preconditioning Examples Integration One-Dimensional Integration Integration over Triangles INDEX References appear at the end of each chapter.
813 citations
TL;DR: In this article, a square electromagnetic cloak and an omni-directional electromagnetic field concentrator are described and the functionality of the devices is numerically confirmed by two-dimensional finite element simulations.
Abstract: The technique of applying form-invariant, spatial coordinate transformations of Maxwell’s equations can facilitate the design of structures with unique electromagnetic or optical functionality. Here, we illustrate the transformation-optical approach in the designs of a square electromagnetic cloak and an omni-directional electromagnetic field concentrator. The transformation equations are described and the functionality of the devices is numerically confirmed by two-dimensional finite element simulations. The two devices presented demonstrate that the transformation optic approach leads to the specification of complex, anisotropic and inhomogeneous materials with well directed and distinct electromagnetic behavior.
770 citations
TL;DR: A convergent high-order accurate scheme for the solution of linear conservation laws in geometrically complex domains and demonstrates the versatility, flexibility, and robustness when solving two- and three-dimensional benchmark problems in computational electromagnetics.
763 citations