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Journal articles
Spectral theory for Maxwell's equations at the interface of a metamaterial. Part I: Generalized Fourier transform
Abstract : We explore the spectral properties of the time-dependent Maxwell's equations for a plane interface between a metamaterial represented by the Drude model and the vacuum, which fill respectively complementary half-spaces. We construct explicitly a generalized Fourier transform which diagonalizes the Hamiltonian that describes the propagation of transverse electric waves. This transform appears as an operator of decomposition on a family of generalized eigenfunctions of the problem. It will be used in a forthcoming paper to prove both limiting absorption and limiting amplitude principles.
https://hal-ensta-paris.archives-ouvertes.fr/hal-01379118
Contributor : Christophe Hazard Connect in order to contact the contributor
Submitted on : Tuesday, October 11, 2016 - 10:17:26 AM
Last modification on : Friday, November 18, 2022 - 9:24:57 AM
Contributor : Christophe Hazard Connect in order to contact the contributor
Submitted on : Tuesday, October 11, 2016 - 10:17:26 AM
Last modification on : Friday, November 18, 2022 - 9:24:57 AM
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