Mathematical Methods In Electromagnetism Linear Theory And Applications
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Mathematical Methods In Electromagnetism Linear Theory And Applications
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Author : Michel Cessenat
language : en
Publisher: World Scientific
Release Date : 1996-07-13
Mathematical Methods In Electromagnetism Linear Theory And Applications written by Michel Cessenat and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-07-13 with Mathematics categories.
This book provides the reader with basic tools to solve problems of electromagnetism in their natural functional frameworks thanks to modern mathematical methods: integral surface methods, and also semigroups, variational methods, etc., well adapted to a numerical approach.As examples of applications of these tools and concepts, we solve several fundamental problems of electromagnetism, stationary or time-dependent: scattering of an incident wave by an obstacle, bounded or not, by gratings; wave propagation in a waveguide, with junctions and cascades. We hope that mathematical notions will allow a better understanding of modelization in electromagnetism and emphasize the essential features related to the geometry and nature of materials.
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.
Non Linear Electromagnetic Systems
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Author : Volkmar Kose
language : en
Publisher: IOS Press
Release Date : 1998
Non Linear Electromagnetic Systems written by Volkmar Kose and has been published by IOS Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Science categories.
The contents is dominated by the latest problems of applied electrical engineering, micro electromechanics, biosensor technology and biomagnetism. The book covers the numerical calculation methods for the design and optimization of sensors, actuators and electric machines, as well as the treatment of inverse problems, in materials testing and in the field of medicine in particular. Other central topics are the material properties and their simulation and much consideration is given to micro-electromechanics.
Numerical Methods In Computational Electrodynamics
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Author : Ursula van Rienen
language : en
Publisher: Springer Science & Business Media
Release Date : 2001
Numerical Methods In Computational Electrodynamics written by Ursula van Rienen 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 2001 with Computers categories.
This interdisciplinary book deals with the solution of large linear systems as they typically arise in computational electrodynamics. It presents a collection of topics which are important for the solution of real life electromagnetic problems with numerical methods - covering all aspects ranging from numerical mathematics up to measurement techniques. Special highlights include a first detailed treatment of the Finite Integration Technique (FIT) in a book - in theory and applications, a documentation of most recent algorithms in use in the field of Krylov subspace methods in a unified style, a discussion on the interplay between simulation and measurement with many practical examples.
Electromagnetic Theory For Electromagnetic Compatibility Engineers
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Author : Tze-Chuen Toh
language : en
Publisher: CRC Press
Release Date : 2013-12-05
Electromagnetic Theory For Electromagnetic Compatibility Engineers written by Tze-Chuen Toh and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-05 with Technology & Engineering categories.
Engineers and scientists who develop and install electronic devices and circuits need to have a solid understanding of electromagnetic theory and the electromagnetic behavior of devices and circuits. In particular, they must be well-versed in electromagnetic compatibility, which minimizes and controls the side effects of interconnected electric devices. Designed to entice the practical engineer to explore some worthwhile mathematical methods, and to reorient the theoretical scientist to industrial applications, Electromagnetic Theory for Electromagnetic Compatibility Engineers is based on the author’s courses taught in industrial settings. The book is a mathematically rigorous exposition of electromagnetic theory with applications in electromagnetic compatibility and high-speed digital design. The topics—ranging from Maxwell's theory and multi-conductor transmission line theory to S-matrix, antenna theory, and dielectric breakdown—were chosen because they have direct relevance to current electromagnetic compatibility problems encountered in the real world. With many worked examples and problem sets, the book relates the theory to practical experiences faced by practitioners. It is written both for physicists and mathematicians new to the field of electromagnetic compatibility and high-speed digital design, as well as established researchers in the field. It is also designed as an advanced undergraduate textbook for a course in electromagnetic theory.
Optical Waveguide Theory
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Author : Yury Shestopalov
language : en
Publisher: Springer Nature
Release Date : 2022-03-26
Optical Waveguide Theory written by Yury Shestopalov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-26 with Science categories.
This book addresses the most advanced to-date mathematical approach and numerical methods in electromagnetic field theory and wave propagation. It presents the application of developed methods and techniques to the analysis of waves in various guiding structures —shielded and open metal-dielectric waveguides of arbitrary cross-section, planar and circular waveguides filled with inhomogeneous dielectrics, metamaterials, chiral media, anisotropic media and layered media with absorption. It also looks into spectral properties of wave propagation for the waveguide families being considered, and the relevant mathematical techniques such as spectral theory of non-self-adjoint operator-valued functions are described, including rigorous proofs of the existence of various types of waves. Further, numerical methods constructed on the basis of the presented mathematical approach and the results of numerical modeling for various structures are also described in depth. The book is beneficial to a broad spectrum of readers ranging from pure and applied mathematicians in electromagnetic field theory to researchers and engineers who are familiar with mathematics. Further, it is also useful as a supplementary text for upper-level undergraduate students interested in learning more advanced topics of mathematical methods in electromagnetics.
An Introduction To Electromagnetic Inverse Scattering
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Author : K.I. Hopcraft
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
An Introduction To Electromagnetic Inverse Scattering written by K.I. Hopcraft 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 2013-03-09 with Science categories.
With the advent of the comparatively new disciplines of remote sensing and non-destructive evaluation of materials, the topic of inverse scattering has broadened from its origins in elementary particle physics to encompass a diversity of applications. One such area which is of increasing importance in inverse scattering within the context of electromagnetism and this text aims to serve as an introduction to that particular speciality. The subject's development has progressed at the hands of engineers, mathematicians and physicists alike, with an inevitable disparity of emphasis and notation. One of the main objectives of this text is to distill the essence of the subject and to present it in the form of a graduated and coherent development of ideas and techniques. The text provides a physical approach to inverse scattering solutions, emphasizing the applied aspects rather than the mathematical rigour. The authors' teaching and research backgrounds in physics, electrical engineering and applied mathematics enable them to explore and stress the cross disciplinary nature of the subject. This treatment will be of use to anyone embarking on a theoretical or practical study of inverse electromagnetic scattering.
Advances In Mathematical Methods For Electromagnetics
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Author : Kazuya Kobayashi
language : en
Publisher:
Release Date : 2020
Advances In Mathematical Methods For Electromagnetics written by Kazuya Kobayashi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with Electromagnetic theory categories.
This book covers recent achievements in the area of advanced analytical and associated numerical methods as applied to various problems arising in all branches of electromagnetics. The unifying theme is the application of advanced or novel mathematical techniques to produce analytical solutions or effective analytical-numerical methods for computational electromagnetics addressing more general problems. Each chapter contains an outline of its topic, discusses its scientific context and importance, describes approaches to date, gives an exposition of the author's approach to the problem tackled in the chapter, describes the results, and concludes with a discussion of the range or class of problems where the techniques described work most appropriately and effectively. Intended primarily for researchers in the fields of electrical engineering, mathematics, physics and related disciplines, the book offers systematic and thorough coverage of this complex topic. It is hoped that the book will help to stimulate further investigation and discussion of the important problems in electromagnetics within this research community.
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.