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- W4318210501 abstract "In this talk, we analyse the propagation of Transverse Electric (TE) waves in a two dimensional honeycomb photonic medium. This medium consists of an homogeneous bulk of fixed permittivity and an array of high permittivity dielectric inclusions centered at the vertices of a honeycomb lattice. In this high contrast regime, we perform a mathematical study of the band structure of the photonic crystal. We use analytical ideas, together with numerical simulations, to deduce detailed local information on the crossings of the dispersion surfaces with for e.g. the existence of Dirac points as well as global behavior of the bands over the full Brillouin zone. The results presented here come from the article [1] and are sum up in the conference paper [2]. Finally, we will discuss during this presentation the essential differences between this electromagnetic setting [1] and the quantum model of graphene analysed in [3]." @default.
- W4318210501 created "2023-01-27" @default.
- W4318210501 creator A5026707674 @default.
- W4318210501 date "2022-07-07" @default.
- W4318210501 modified "2023-09-28" @default.
- W4318210501 title "Analysis of the TE band structure in high contrast honeycomb photonic crystals" @default.
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- W4318210501 doi "https://doi.org/10.52843/cassyni.c2gvqs" @default.
- W4318210501 hasPublicationYear "2022" @default.
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