Provides the reader with basic tools to solve problems of electromagnetism in thier 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 electromagentism, stationary or time-dependent: scattering of an incident wave by an obstacle, bounded or not, by gratings; wave propogation in a waveguide, with junctions and cascades. It is the aim to present mathematical notions that will allow a better understanding of modelization in electromagnetism and emphasize the essentail features related to the geometery and nature of materials.
By:
Michel Cessenat (Cea/dam France) Imprint: World Scientific Publishing Co Pte Ltd Country of Publication: Singapore Volume: 41 Dimensions:
Height: 229mm,
Width: 152mm,
Spine: 22mm
Weight: 694g ISBN:9789810224677 ISBN 10: 9810224672 Series:Series on Advances in Mathematics for Applied Sciences Pages: 396 Publication Date:01 December 1995 Audience:
College/higher education
,
Professional and scholarly
,
Professional & Vocational
,
A / AS level
,
Further / Higher Education
Format:Hardback Publisher's Status: Active
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.