Mathematical Methods In Electromagnetism: Linear Theory And Applications

Mathematical Methods In Electromagnetism: Linear Theory And Applications
Author: Michel Cessenat
Publisher: World Scientific
Total Pages: 396
Release: 1996-07-13
Genre: Mathematics
ISBN: 9814525383
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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

Mathematical Methods of Electromagnetic Theory
Author: Kurt O. Friedrichs
Publisher: American Mathematical Soc.
Total Pages: 159
Release: 2014-11-12
Genre: Science
ISBN: 1470417111
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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.

Numerical Methods in Computational Electrodynamics

Numerical Methods in Computational Electrodynamics
Author: Ursula van Rienen
Publisher: Springer Science & Business Media
Total Pages: 404
Release: 2001
Genre: Computers
ISBN: 9783540676294
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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.

Advances in Mathematical Methods for Electromagnetics

Advances in Mathematical Methods for Electromagnetics
Author: Kazuya Kobayashi
Publisher: SciTech Publishing
Total Pages: 747
Release: 2020-12-10
Genre: Technology & Engineering
ISBN: 1785613847
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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.

Electromagnetic Theory for Electromagnetic Compatibility Engineers

Electromagnetic Theory for Electromagnetic Compatibility Engineers
Author: Tze-Chuen Toh
Publisher: CRC Press
Total Pages: 386
Release: 2013-12-05
Genre: Technology & Engineering
ISBN: 1466518154
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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.

Mathematical Methods For Physics

Mathematical Methods For Physics
Author: H. W. Wyld
Publisher: CRC Press
Total Pages: 395
Release: 2018-03-14
Genre: Science
ISBN: 0429978642
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This classic book helps students learn the basics in physics by bridging the gap between mathematics and the basic fundamental laws of physics. With supplemental material such as graphs and equations, Mathematical Methods for Physics creates a strong, solid anchor of learning. The text has three parts: Part I focuses on the use of special functions in solving the homogeneous partial differential equations of physics, and emphasizes applications to topics such as electrostatics, wave guides, and resonant cavities, vibrations of membranes, heat flow, potential flow in fluids, plane and spherical waves. Part II deals with the solution of inhomogeneous differential equations with particular emphasis on problems in electromagnetism, Green's functions for Poisson's equation, the wave equation and the diffusion equation, and the solution of integral equations by iteration, eigenfunction expansion and the Fredholm series. Finally, Part II explores complex variable techniques, including evalution of itegrals, dispersion relations, special functions in the complex plane, one-sided Fourier transforms, and Laplace transforms.

Mathematical Foundations for Electromagnetic Theory

Mathematical Foundations for Electromagnetic Theory
Author: Donald G. Dudley
Publisher: Wiley-IEEE Press
Total Pages: 264
Release: 1994-05-18
Genre: Science
ISBN: 9780780310223
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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.

Electromagnetic Theory and Computation

Electromagnetic Theory and Computation
Author: Paul W. Gross
Publisher: Cambridge University Press
Total Pages: 296
Release: 2004-06-14
Genre: Mathematics
ISBN: 9780521801607
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This book explores the connection between algebraic structures in topology and computational methods for 3-dimensional electric and magnetic field computation. The connection between topology and electromagnetism has been known since the 19th century, but there has been little exposition of its relevance to computational methods in modern topological language. This book is an effort to close that gap. It will be of interest to people working in finite element methods for electromagnetic computation and those who have an interest in numerical and industrial applications of algebraic topology.

Electromagnetism of Continuous Media

Electromagnetism of Continuous Media
Author: Mauro Fabrizio
Publisher: Oxford University Press
Total Pages: 690
Release: 2003-06-05
Genre: Mathematics
ISBN: 9780198527008
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The wide application of technologies in new mechanical, electronic and biomedical systems calls for materials and structures with non-conventional properties (e.g materials with 'memory'). Of equal importance is the understanding of the physical behaviour of these materials and consequently developing mathematical modelling techniques for prediction. This self contained text discusses the mathematical modelling used with these types of electromagnetic materials. It provides a carefully structured, coherent, and comprehensive treatment of electromagnetism of continuous media. The authors provide a systematic review of known subjects along with original results about thermodynamics of electromagnetic materials, well-posedness of initial boundary-value problems, variational settings, and wave propagation. Models of non-linear materials, non-local materials (superconductors), and hysteretic (magnetic) materials are also developed in detail.

An Introduction to Electromagnetic Inverse Scattering

An Introduction to Electromagnetic Inverse Scattering
Author: K.I. Hopcraft
Publisher: Springer Science & Business Media
Total Pages: 241
Release: 2013-03-09
Genre: Science
ISBN: 9401580146
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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.