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Homogenization of plasmonic crystals: seeking the epsilon-near-zero effect

Maier, M. ; Mattheakis, M. ; Kaxiras, E. ; Luskin, M. ; Margetis, D.

Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences, 2019-10, Vol.475 (2230), p.20190220-20190220 [Periódico revisado por pares]

The Royal Society Publishing

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  • Título:
    Homogenization of plasmonic crystals: seeking the epsilon-near-zero effect
  • Autor: Maier, M. ; Mattheakis, M. ; Kaxiras, E. ; Luskin, M. ; Margetis, D.
  • É parte de: Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences, 2019-10, Vol.475 (2230), p.20190220-20190220
  • Notas: ObjectType-Article-1
    SourceType-Scholarly Journals-1
    ObjectType-Feature-2
    content type line 23
    Electronic supplementary material is available online at https://doi.org/10.6084/m9.figshare.c.4673213.
  • Descrição: By using an asymptotic analysis and numerical simulations, we derive and investigate a system of homogenized Maxwell's equations for conducting material sheets that are periodically arranged and embedded in a heterogeneous and anisotropic dielectric host. This structure is motivated by the need to design plasmonic crystals that enable the propagation of electromagnetic waves with no phase delay (epsilon-near-zero effect). Our microscopic model incorporates the surface conductivity of the two-dimensional (2D) material of each sheet and a corresponding line charge density through a line conductivity along possible edges of the sheets. Our analysis generalizes averaging principles inherent in previous Bloch-wave approaches. We investigate physical implications of our findings. In particular, we emphasize the role of the vector-valued corrector field, which expresses microscopic modes of surface waves on the 2D material. We demonstrate how our homogenization procedure may set the foundation for computational investigations of: effective optical responses of reasonably general geometries, and complicated design problems in the plasmonics of 2D materials.
  • Editor: The Royal Society Publishing
  • Idioma: Inglês
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