Mathematical methods in electromagnetism : linear theory and applications
著者
書誌事項
Mathematical methods in electromagnetism : linear theory and applications
（Series on advances in mathematics for applied sciences, v. 41）
World Scientific, c1996
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注記
Bibliography: p. 365-372
Includes index
内容説明・目次
内容説明
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.
目次
- 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.
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