Homogenization of plasmonic crystals: seeking the epsilon-near-zero effect. (9th October 2019)

• Record Type: Journal Article
• Authors: Maier, M.; Mattheakis, M.; Kaxiras, E.; Luskin, M.; Margetis, D.
• Is Part Of: Proceedings. Volume 475:Number 2230(2019)
• Publication Date: 2019-10-09
• Subjects: homogenization -- asymptotic analysis -- Maxwell's equations -- surface plasmon-polariton -- graphene -- plasmonic crystals; Physical sciences -- Periodicals; Engineering -- Periodicals; Mathematics -- Periodicals; 500
• DOI: 10.1098/rspa.2019.0220
• Languages: English
• ISSNs: 1364-5021

Abstract

Abstract : 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.