Mathematical Methods in Electromagnetism: Linear Theory and Applications (Series on Advances in Mathematics for Applied Sciences)

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.