Mathematical Methods of Electromagnetic Theory

Mathematical Methods of Electromagnetic Theory PDF Author: Kurt O. Friedrichs
Publisher: American Mathematical Soc.
ISBN: 1470417111
Category : Science
Languages : en
Pages : 159

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Book Description
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.

Mathematical Methods In Electromagnetism: Linear Theory And Applications

Mathematical Methods In Electromagnetism: Linear Theory And Applications PDF Author: Michel Cessenat
Publisher: World Scientific
ISBN: 9814525383
Category : Mathematics
Languages : en
Pages : 396

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Book Description
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.

Advances in Mathematical Methods for Electromagnetics

Advances in Mathematical Methods for Electromagnetics PDF Author: Kazuya Kobayashi
Publisher:
ISBN: 9781523135387
Category : Electromagnetic theory
Languages : en
Pages : 0

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Book Description
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

Mathematical Foundations for Electromagnetic Theory PDF Author: Donald G. Dudley
Publisher: Wiley-IEEE Press
ISBN: 9780780310223
Category : Science
Languages : en
Pages : 264

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Book Description
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.

Advanced Electromagnetic Wave Propagation Methods

Advanced Electromagnetic Wave Propagation Methods PDF Author: Guillermo Gonzalez
Publisher:
ISBN: 9781032114002
Category : Mathematics
Languages : en
Pages : 0

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Book Description
This textbook provides a solid foundation into the approaches used in the analysis of complex electromagnetic problems and wave propagation. The techniques discussed are essential to obtain closed-form solutions or asymptotic solutions and meet an existing need for instructors and students in electromagnetic theory.

Electromagnetic Theory and Computation

Electromagnetic Theory and Computation PDF Author: Paul W. Gross
Publisher: Cambridge University Press
ISBN: 9780521801607
Category : Mathematics
Languages : en
Pages : 296

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Book Description
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.

Parabolic Equation Methods for Electromagnetic Wave Propagation

Parabolic Equation Methods for Electromagnetic Wave Propagation PDF Author: Mireille Levy
Publisher: IET
ISBN: 9780852967645
Category : Mathematics
Languages : en
Pages : 360

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Book Description
Provides scientists and engineers with a tool for accurate assessment of diffraction and ducting on radio and radar systems. The author gives the mathematical background to parabolic equations modeling and describes simple parabolic equation algorithms before progressing to more advanced topics such as domain truncation, the treatment of impedance boundaries, and the implementation of very fast hybrid methods combining ray-tracing and parabolic equation techniques. The last three chapters are devoted to scattering problems, with application to propagation in urban environments and to radar-cross- section computation. Annotation copyrighted by Book News, Inc., Portland, OR

Electromagnetic Methods in Applied Geophysics

Electromagnetic Methods in Applied Geophysics PDF Author: Misac N. Nabighian
Publisher: SEG Books
ISBN: 1560800224
Category : Electromagnetic fields
Languages : en
Pages : 989

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Book Description
As a slag heap, the result of strip mining, creeps closer to his house in the Ohio hills, fifteen-year-old M. C. is torn between trying to get his family away and fighting for the home they love.

Optimization Methods in Electromagnetic Radiation

Optimization Methods in Electromagnetic Radiation PDF Author: Thomas S. Angell
Publisher: Springer Science & Business Media
ISBN: 0387204504
Category : Science
Languages : en
Pages : 341

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Book Description
This book considers problems of optimization arising in the design of electromagnetic radiators and receivers, presenting a systematic general theory applicable to a wide class of structures. The theory is illustrated with examples, and indications of how the results can be applied to more complicated structures. The final chapter introduces techniques from multicriteria optimization in antenna design. References to mathematics and engineering literature guide readers through the necessary mathematical background.

Electromagnetic Theory

Electromagnetic Theory PDF Author: Julius Adams Stratton
Publisher: John Wiley & Sons
ISBN: 0470131535
Category : Technology & Engineering
Languages : en
Pages : 642

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Book Description
This book is an electromagnetics classic. Originally published in 1941, it has been used by many generations of students, teachers, and researchers ever since. Since it is classic electromagnetics, every chapter continues to be referenced to this day. This classic reissue contains the entire, original edition first published in 1941. Additionally, two new forewords by Dr. Paul E. Gray (former MIT President and colleague of Dr. Stratton) and another by Dr. Donald G. Dudley, Editor of the IEEE Press Series on E/M Waves on the significance of the book's contribution to the field of Electromagnetics.