Mathematical Foundations For Electromagnetic Theory
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Mathematical Foundations For Electromagnetic Theory
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Author : Donald G. Dudley
language : en
Publisher: Wiley-IEEE Press
Release Date : 1994-05-18
Mathematical Foundations For Electromagnetic Theory written by Donald G. Dudley and has been published by Wiley-IEEE Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-05-18 with Science categories.
Co-published with Oxford University Press. This highly technical and thought-provoking book stresses the development of mathematical foundations for the application of the electromagnetic model to problems of research and technology. Features include in-depth coverage of linear spaces, Green's functions, spectral expansions, electromagnetic source representations, and electromagnetic boundary value problems. This book will be of interest graduate-level students in engineering, electromagnetics, physics, and applied mathematics as well as to research engineers, physicists, and scientists.
Mathematical Foundations Of Computational Electromagnetism
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Author : Franck Assous
language : en
Publisher: Springer
Release Date : 2018-06-09
Mathematical Foundations Of Computational Electromagnetism written by Franck Assous and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-09 with Mathematics categories.
This book presents an in-depth treatment of various mathematical aspects of electromagnetism and Maxwell's equations: from modeling issues to well-posedness results and the coupled models of plasma physics (Vlasov-Maxwell and Vlasov-Poisson systems) and magnetohydrodynamics (MHD). These equations and boundary conditions are discussed, including a brief review of absorbing boundary conditions. The focus then moves to well‐posedness results. The relevant function spaces are introduced, with an emphasis on boundary and topological conditions. General variational frameworks are defined for static and quasi-static problems, time-harmonic problems (including fixed frequency or Helmholtz-like problems and unknown frequency or eigenvalue problems), and time-dependent problems, with or without constraints. They are then applied to prove the well-posedness of Maxwell’s equations and their simplified models, in the various settings described above. The book is completed with a discussion of dimensionally reduced models in prismatic and axisymmetric geometries, and a survey of existence and uniqueness results for the Vlasov-Poisson, Vlasov-Maxwell and MHD equations. The book addresses mainly researchers in applied mathematics who work on Maxwell’s equations. However, it can be used for master or doctorate-level courses on mathematical electromagnetism as it requires only a bachelor-level knowledge of analysis.
Mathematical Methods Of Electromagnetic Theory
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Author : Kurt O. Friedrichs
language : en
Publisher: American Mathematical Soc.
Release Date : 2014-11-12
Mathematical Methods Of Electromagnetic Theory written by Kurt O. Friedrichs and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-12 with Science categories.
This text provides a mathematically precise but intuitive introduction to classical electromagnetic theory and wave propagation, with a brief introduction to special relativity. While written in a distinctive, modern style, Friedrichs manages to convey the physical intuition and 19th century basis of the equations, with an emphasis on conservation laws. Particularly striking features of the book include: (a) a mathematically rigorous derivation of the interaction of electromagnetic waves with matter, (b) a straightforward explanation of how to use variational principles to solve problems in electro- and magnetostatics, and (c) a thorough discussion of the central importance of the conservation of charge. It is suitable for advanced undergraduate students in mathematics and physics with a background in advanced calculus and linear algebra, as well as mechanics and electromagnetics at an undergraduate level. Apart from minor corrections to the text, the notation was updated in this edition to follow the conventions of modern vector calculus. Titles in this series are co-published with the Courant Institute of Mathematical Sciences at New York University.
Foundations Of The Mathematical Theory Of Electromagnetic Waves
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Author : Carl Müller
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Foundations Of The Mathematical Theory Of Electromagnetic Waves written by Carl Müller and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Mathematics categories.
Foundations Of The Mathematical Theory Of Electromagnetic Waves
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Author : Claus Müller
language : en
Publisher: Springer
Release Date : 1969
Foundations Of The Mathematical Theory Of Electromagnetic Waves written by Claus Müller and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Mathematics categories.
Electromagnetic Theory For Microwaves And Optoelectronics
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Author : Kequian Zhang
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Electromagnetic Theory For Microwaves And Optoelectronics written by Kequian Zhang and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Science categories.
This book is a first-year graduate text on electromagnetic fields and waves. It is the translated and revised edition of the Chinese version with the same title published by the Publishing House of Electronic Industry (PHEI) of China in 1994. The text is based on the graduate course lectures on "Advanced Elec trodynamics" given by the authors at Tsinghua University. More than 300 students from the Department of Electronic Engineering and the Depart ment of Applied Physics have taken this course during the last decade. Their particular fields are microwave and millimeterwave theory and technology, physical electronics, optoelectronics and engineering physics. As the title of the book shows, the texts and examples in the book concentrate mainly on electromagnetic theory related to microwaves and optoelectronics, or light wave technology. However, the book can also be used as an intermediate-level text or reference book on electromagnetic fields and waves for students and scientists engaged in research in neighboring fields.
Understanding Geometric Algebra For Electromagnetic Theory
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Author : John W. Arthur
language : en
Publisher: John Wiley & Sons
Release Date : 2011-10-11
Understanding Geometric Algebra For Electromagnetic Theory written by John W. Arthur and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-11 with Science categories.
This book aims to disseminate geometric algebra as a straightforward mathematical tool set for working with and understanding classical electromagnetic theory. It's target readership is anyone who has some knowledge of electromagnetic theory, predominantly ordinary scientists and engineers who use it in the course of their work, or postgraduate students and senior undergraduates who are seeking to broaden their knowledge and increase their understanding of the subject. It is assumed that the reader is not a mathematical specialist and is neither familiar with geometric algebra or its application to electromagnetic theory. The modern approach, geometric algebra, is the mathematical tool set we should all have started out with and once the reader has a grasp of the subject, he or she cannot fail to realize that traditional vector analysis is really awkward and even misleading by comparison. Professors can request a solutions manual by email: [email protected]
Methods For Electromagnetic Field Analysis
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Author : Ismo V. Lindell
language : en
Publisher: Oxford University Press, USA
Release Date : 1992
Methods For Electromagnetic Field Analysis written by Ismo V. Lindell and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with History categories.
This monograph discusses mathematical and conceptual methods used in the analysis of electromagnetic fields and waves. Dyadic algebra is reviewed and armed with new identities to be applied throughout the book. The power of dyadic operations is seen when working with boundary, sheet, and interface conditions, medium equations, field transformations, Green functions, plane wave problems, vector circuit theory, multipole and image sources. Dyadic algebra allows 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 work will interest research-level electromagnetic physicists and engineers, and applied mathematicians.
Singular Electromagnetic Fields And Sources
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Author : Jean G. Van Bladel
language : en
Publisher: Wiley-IEEE Press
Release Date : 1996-01-21
Singular Electromagnetic Fields And Sources written by Jean G. Van Bladel and has been published by Wiley-IEEE Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-01-21 with Science categories.
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
Topological Foundations Of Electromagnetism
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Author : Terence W. Barrett
language : en
Publisher: World Scientific
Release Date : 2008
Topological Foundations Of Electromagnetism written by Terence W. Barrett and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Science categories.
Topological Foundations of Electromagnetism seeks a fundamental understanding of the dynamics of electromagnetism; and marshals the evidence that in certain precisely defined topological conditions, electromagnetic theory (Maxwell''s theory) must be extended or generalized in order to provide an explanation and understanding of, until now, unusual electromagnetic phenomena. Key to this generalization is an understanding of the circumstances under which the so-called A potential fields have physical effects. Basic to the approach taken is that the topological composition of electromagnetic fields is the fundamental conditioner of the dynamics of these fields. The treatment of electromagnetism from, first, a topological perspective, continuing through group theory and gauge theory, to a differential calculus description is a major thread of the book. Suggestions for potential new technologies based on this new understanding and approach to conditional electromagnetism are also given. Sample Chapter(s). Chapter 1: Electromagnetic Phenomena Not Explained by Maxwell''s Equations260 (437 KB). Contents: Electromagnetic Phenomena Not Explained by Maxwell''s Equations; The Sagnac Effect: A Consequence of Conservation of Action Due to Gauge Field Global Conformal Invariance in a Multiply Joined Topology of Coherent Fields; Topological Approaches to Electromagnetism. Readership: Physicists; advanced undergraduate and graduate students in physics; electrical engineers.