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Employed in a large number of commercial electromagnetic simulation packages, the finite element method is one of the most popular and well-established numerical techniques in engineering. This book covers the theory, development, implementation, and application of the finite element method and its hybrid versions to electromagnetics. FINITE ELEMENT METHOD FOR ELECTROMAGNETICS begins with a step-by-step textbook presentation of the finite method and its variations then goes on to provide up-to-date coverage of three dimensional formulations and modern applications to open and closed domain problems. Worked out examples are included to aid the reader with the fine features of the method and the implementation of its hybridization with other techniques for a robust simulation of large scale radiation and scattering. The crucial treatment of local boundary conditions is carefully worked out in several stages in the book. Sponsored by: IEEE Antennas and Propagation Society.
Electrical Engineering/Electromagnetics Singular Electromagnetic Fields and Sources A volume in the IEEE Series on Electromagnetic Wave Theory Donald D. Dudley, Series Editor 'I will cherish my copy of this gem.'--James R. Wait This is a companion volume to the many available graduate textbooks on electromagnetic theory. It is devoted to a study of the infinities in electromagnetic fields and in their sources. Three types of singularities are investigated: (1) Those associated with strongly concentrated sources of charge and current, the relevant densities are expressed in terms of delta-functions and derivatives. (2) Those associated with the fields resulting from strongly concentrated sources. (3) Those which occur at sharp edges and vertices of cones and sectors. The approach is both theoretical and numerical. The information presented, far from being purely formal, is of importance for practical work. It can be used, for example, to accelerate significantly the convergence of a numerical algorithm. The book is written for electrical engineers and applied physicists who have an interest in the general topic of 'Maxwell's equations' and more particularly for those who are engaged in the actual solution of electromagnetic problems. The mathematical level of the text is that of the 'applied' mathematician. An introductory chapter on 'Distribution Theory' has been written in that spirit. Also in the series Mathematical Foundations for Electromagnetic Theory Donald D. Dudley, University of Arizona, Tucson 1994 Hardcover 256 pp Methods for Electromagnetic Field Analysis Ismo V. Lindell, Helsinki University of Technology 1992 Hardcover 320 pp The Transmission Line Modeling Method: TLM Christos Christopoulos, University of Nottingham 1995 Hardcover 232 pp
Electrical Engineering/Electromagnetics Methods for Electromagnetic Field Analysis A volume in the IEEE Series on Electromagnetic Wave Theory Donald G. Dudley, Series Editor a gigantic platter of formulae of the dyadic kind.'--Akhlesh Lakhtaki, Professor, The Pennsylvania State University This monograph discusses mathematical and conceptual methods applicable in the analysis of electromagnetic fields and waves. Dyadic algebra is reviewed and armed with new identities it is applied throughout the book. The power of dyadic operations is seen when working with boundary, sheet and interface conditions, medium equations, field transformations, Greens functions, plane wave problems, vector circuit theory, multipole and image sources. Dyadic algebra offers convenience in handling problems involving chiral and bianisotropic media, of recent interest because of their wide range of potential applications. The final chapter gives, for the first time in book form, a unified presentation of EIT, the exact image theory, introduced by this author and colleagues. EIT is a general method for solving problems involving layered media by replacing them through image sources located in complex space. The main emphasis of the monograph is not on specific results but methods of analysis. The contents should be of interest to scientists doing research work in various fields of electromagnetics, as well as to graduate students. The addition of problems and answers in this reprint will enhance the teaching value of this work. Also in the series Mathematical Foundations for Electromagnetic Theory Donald D. Dudley, University of Arizona, Tucson 1994 Hardcover 256 pp Methods for Electromagnetic Wave Propagation D. S. Jones, University of Dundee 1995 Hardcover 672 pp The Transmission Line Modeling Method: TLM Christos Christopoulos, University of Nottingham 1995 Hardcover 232 pp
Filled with new approaches and basic results connected with the discontinuities of the electromagnetic field, this new book offers an important resource for graduate and undergraduate students.
Electrical Engineering/Electromagnetics Mathematical Foundations for Electromagnetic Theory A volume in the IEEE/OUP Series on Electromagnetic Wave Theory Donald G. Dudley, Series Editor This volume in the series lays the mathematical foundations for the study of advanced topics in electromagnetic theory. Important subjects covered include linear spaces, Green's functions, spectral expansions, electromagnetic source representations, and electromagnetic boundary value problems. You will find these key features: Introduction to modern linear analysis and linear operators Solution to Sturm-Liouville problems using Green's functions and spectral expansions Natural transforms and series expansions specific to a wide range of differential operators and associated boundary conditions Useful alternative representations for canonical electromagnetic sources Applications to electromagnetic boundary value problems This book will be of interest to graduate-level students in engineering, electromagnetics, physics, and applied mathematics, as well as to research engineers, physicists, and scientists. Also in the series Radiation and Scattering of Waves An IEEE Press Classic Reissue Leopold B. Felsen and Nathan Marcuvitz 1994 Hardcover 928 pp Dyadic Green Functions in Electromagnetic Theory Second Edition Chen- To Tai, University of Michigan 1994 Hardcover 360 pp Field Theory of Guided Waves Second Edition Robert E. Collin, Case Western Reserve University 1991 Hardcover 864 pp About the series Formerly the IEEE Press Series on Electromagnetic Waves, this new joint series between IEEE Press and Oxford University Press offers even better coverage of the field with new titles as well as reprintings and revisions of recognized classics that maintain long-term archival significance in electromagnetic waves and applications. Designed specifically for graduate students, practicing engineers, and researchers, this series provides affordable volumes that explore electromagnetic waves and applications beyond the undergraduate level.
Unmatched in its coverage of the topic, the first edition of GENERALIZED VECTOR AND DYADIC ANALYSIS helped revolutionize the treatment of boundary-value problems, establishing itself as a classic in the field. This expanded, revised edition is the most comprehensive book available on vector analysis founded upon the new method symbolic vector. GENERALIZED VECTOR AND DYADIC ANALYSIS presents a copious list of vector and dyadic identities, along with various forms of Green's theorems with derivations. In addition, this edition presents an historical study of the past mis-understandings and contradictions that have occurred in vector analysis presentations, furthering the reader's understanding of the subject. Sponsored by: IEEE Antennas and Propagation Society.
One of the most methodical treatments of electromagnetic wave propagation, radiation, and scattering including new applications and ideas Presented in two parts, this book takes an analytical approach on the subject and emphasizes new ideas and applications used today.
Electromagnetic Radiation, Scattering, and DiffractionDiscover a graduate-level text for students specializing in electromagnetic wave radiation, scattering, and diffraction for engineering applicationsIn Electromagnetic Radiation, Scattering and Diffraction, distinguished authors Drs. Prabhakar H. Pathak and Robert J. Burkholder deliver a thorough exploration of the behavior of electromagnetic fields in radiation, scattering, and guided wave environments. The book tackles its subject from first principles and includes coverage of low and high frequencies. It stresses physical interpretations of the electromagnetic wave phenomena along with their underlying mathematics.The authors emphasize fundamental principles and provide numerous examples to illustrate the concepts contained within. Students with a limited undergraduate electromagnetic background will rapidly and systematically advance their understanding of electromagnetic wave theory until they can complete useful and important graduate-level work on electromagnetic wave problems.Electromagnetic Radiation, Scattering and Diffraction also serves as a practical companion for students trying to simulate problems with commercial EM software and trying to better interpret their results. Readers will also benefit from the breadth and depth of topics, such as:* Basic equations governing all electromagnetic (EM) phenomena at macroscopic scales are presented systematically. Stationary and relativistic moving boundary conditions are developed. Waves in planar multilayered isotropic and anisotropic media are analyzed.* EM theorems are introduced and applied to a variety of useful antenna problems. Modal techniques are presented for analyzing guided wave and periodic structures. Potential theory and Green's function methods are developed to treat interior and exterior EM problems.* Asymptotic High Frequency methods are developed for evaluating radiation Integrals to extract ray fields. Edge and surface diffracted ray fields, as well as surface, leaky and lateral wave fields are obtained. A collective ray analysis for finite conformal antenna phased arrays is developed.* EM beams are introduced and provide useful basis functions. Integral equations and their numerical solutions via the method of moments are developed. The fast multipole method is presented. Low frequency breakdown is studied. Characteristic modes are discussed.Perfect for graduate students studying electromagnetic theory, Electromagnetic Radiation, Scattering, and Diffraction is an invaluable resource for professional electromagnetic engineers and researchers working in this area.
To complete the IEEE-Wiley offering in Electromagnetic Theory, this is an important and current revision in a field where our most current text was published in 1991. Responds to the increased interest of the electro-mechanical community in field problems by including numerous examples throughout the text.
Co-published with Oxford University Press. A volume in the "IEEE Press/OUP Electromagnetic Wave Series." Gain a thorough understanding of one of the most important simulation tools in computational electromagnetics with this comprehensive introduction to the TLM method. Written by one of the foremost researchers in the TLM method, this book covers the entire area of electromagnetics from the basic principles to advanced formulations and applications and including microwaves, antennas, RCS, electromagnetic compatibility, and electromagnetic heating, while providing a clear explanation of modeling principles from lumped components through 1, 2 and 3 dimensional complex systems.
Electrical Engineering Computational Methods for Electromagnetics A volume in the IEEE/OUP Series on Electromagnetic Wave Theory Donald G. Dudley, Series Editor Computational Methods for Electromagnetics is an indispensable resource for making efficient and accurate formulations for electromagnetics applications and their numerical treatment. Employing a unified and coherent approach that is unmatched in the field, the authors detail both integral and differential equations using the method of moments and finite-element procedures. In addition, readers will gain a thorough understanding of numerical solution procedures. Topics covered include: Two- and three-dimensional integral equation/method-of-moments formulationsOpen-region finite-element formulations based on the scalar and vector Helmholtz equationsFinite difference time-domain methodsDirect and iterative algorithms for the solution of linear systemsError analysis and the convergence behavior of numerical resultsRadiation boundary conditionsAcceleration methods for periodic Green' s functionsVector finite elementsDetail is provided to enable the reader to implement concepts in software and, in addition, a collection of related computer programs are available via the Internet. Computational Methods for Electromagnetics is designed for graduate-level classroom use or self-study, and every chapter includes problems. It will also be of particular interest to engineers working in the aerospace, defense, telecommunications, wireless, electromagnetic compatibility, and electronic packaging industries. About the IEEE/OUP Series on Electromagnetic Wave Theory Formerly the IEEE Press Series onElectromagnetic Waves, this joint series between IEEE Press and Oxford University Press offers outstanding coverage of the field, with new titles as well as reprintings and revisions of recognized classics that maintain long-term archival significance in electromagnetic wav
Electrical Engineering/Electromagnetics "Methods in Electromagnetic Wave Propogation," 2e A volume in the IEEE/OUP Series on Electromagnetic Wave Theory Donald D. Dudley, Series Editor "The quality of the material and the clarity of exposition make this an important reference book for research workers and lecturers." — "Nature" Modern methods of tackling problems associated with electromagnetic waves involve a judicious mixture of analysis and computation. The analysis occurs in the mathematical formulation and in establishing that it has the requisite properties. Conversion to a form suitable for the computer entails numerical analysis, whose justification may also rest on a considerable body of analysis. Therefore, the aim of this volume is to develop a suitable framework of theory and numerical analysis with applications to various aspects of the propagation of electromagnetic waves. The explanation is couched in as comprehensible a language as possible and it assumes a starting-point as early as is commensurate with the size of the text. Numerous exercises have been inserted at convenient points and some of these are open-ended so that any instructor has plenty of freedom in determining the mode of treatment. This new edition considers the analytical progress which has been made recently, and the wider availability of powerful computers. The conjugate gradient method and CGFFT are given extensive treatment. The coverage of finite methods has been expanded and conforming finite elements particularly appropriate to electromagnetic applications are described. The discussion of integral equations has been completely revised and new topics have been added, including Sobolev spaces, vector optimization, absorbing boundary conditions, and surface radiation conditions. Also in the series... "Mathematical Foundations for Electromagnetic Theory," Donald D. Dudley, University of Arizona, Tucson, 1994, Hardcover, 256 pp "Methods
"An IEEE reprinting of this classic 1968 edition, FIELD COMPUTATION BY MOMENT METHODS is the first book to explore the computation of electromagnetic fields by the most popular method for the numerical solution to electromagnetic field problems. It presents a unified approach to moment methods by employing the concepts of linear spaces and functional analysis. Written especially for those who have a minimal amount of experience in electromagnetic theory, this book illustrates theoretical and mathematical concepts to prepare all readers with the skills they need to apply the method of moments to new, engineering-related problems. Written especially for those who have a minimal amount of experience in electromagnetic theory, theoretical and mathematical concepts are illustrated by examples that prepare all readers with the skills they need to apply the method of moments to new, engineering-related problems."
Electromagnetics History, Theory, and Applications A useful reference for engineers and physicists, the IEEE reprinting of this classic text provides a deep, fundamental understanding of electromagnetics. Each chapter begins with a pertinent historical overview that shows how special relativity can be used to develop a complete electromagnetic theory from Coulomb's Law, with the needed relativity theory developed in an early chapter. Electromagnetics also contains many applications in the chapters covering electrostatics, magnetostatics, and electrodynamics, while the final three chapters of the book extend the electromagnetic theory to dielectric, magnetic, and conducting materials. Key features include: The development and use of special relativity to establish a complete electromagnetic theory based on Coulomb's Law as the sole experimental postulate Historical introductions to each chapter Extensive treatment of electrical properties of materials in the final three chapters Also in the series Field Computation by Moment Methods by Roger F. Harrington, Syracuse University An IEEE reprinting of this classic 1968 edition, Field Computation by Moment Methods is the first book to explore the computation of electromagnetic fields by the method of moments--the most popular method to date for the numerical solution of electromagnetic field problems. It presents a unified approach to moment methods by employing the concepts of linear spaces and functional analysis. Written especially for those who have a minimal amount of experience in electromagnetic theory, theoretical and mathematical concepts are illustrated by examples that prepare readers with the skills they need to apply the method of moments to new, engineering-related problems. Key topics include: Electrostatic fields Two-dimensional electromagnetic fields Wire antennas and scatterers Multiport systems Transmission lines and waveguides Resonators Antenna systems 1993 Hardcover 240 pp IEEE Order No. PC0363-2 ISBN 0-7803-1014-4 About the Series The IEEE Press Series on Electromagnetic Waves consists of new titles as well as reprints and revisions of recognized classics that maintain long-term archival significance in electromagnetic waves and applications. Designed specifically for graduate students, practicing engineers, and researchers, this series provides affordable volumes that explore electromagnetic waves and applications beyond the undergraduate level.
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