Title : |
Mathematical models for dispersive electromagnetic waves: An overview |
Year : |
2017 |
Type : |
paper in peer-reviewed journal |
Authors : |
M. Cassier, P. Joly, M. Kachanovska |
Abstract : |
In this work, we investigate mathematical models for electromagnetic wave propagation in dispersive isotropic media. We emphasize the link between physical requirements and mathematical properties of the models. A particular attention is devoted to the notion of non-dissipativity and passivity. We consider successively the case of so-called local media and general passive media. The models are studied through energy techniques, spectral theory and dispersion analysis of plane waves. For making the article self-contained, we provide in appendix some useful mathematical background. |
Themes : |
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Reference : |
Computers and Mathematics with Applications - Elsevier - vol. 74 (11) (pp 2792-2830 ) |