Mathematical methods in electromagnetism. Linear theory and applications. (English) Zbl 0917.65099

Cessenat, Michel

Series on Advances in Mathematics for Applied Sciences. 41. Singapore: World Scientific Publishers. xiv, 376 p. (1996).

Publisher’s 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.

MSC:

65Z05	Applications to the sciences
00A79	Physics
78-01	Introductory exposition (textbooks, tutorial papers, etc.) pertaining to optics and electromagnetic theory
35Q60	PDEs in connection with optics and electromagnetic theory

Keywords:

textbook; electromagnetism; integral surface methods; semigroups; variational methods; scattering; wave propagation; waveguide