Mathematical Methods In Electromagnetism: Linear Theory And Applications
Seiten
1996
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-02-2467-7 (ISBN)
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-02-2467-7 (ISBN)
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.
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.
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 modelling of the electromagnetic field in continuous media - Maxwell equations and constitutive relations; mathematical framework for electromagnetism; stationary scattering problems with bounded obstacles; waveguide problems; stationary scattering problems on unbounded obstacles; evolution problems; appendix: differential geometry for electromagnetism.
| Erscheint lt. Verlag | 15.7.1996 |
|---|---|
| Reihe/Serie | Series on Advances in Mathematics for Applied Sciences ; 41 |
| Verlagsort | Singapore |
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Angewandte Mathematik |
| Naturwissenschaften ► Physik / Astronomie ► Elektrodynamik | |
| ISBN-10 | 981-02-2467-2 / 9810224672 |
| ISBN-13 | 978-981-02-2467-7 / 9789810224677 |
| Zustand | Neuware |
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