2018/09/21 by Matthias Maier, Maier, Matthias, Marios Mattheakis +7
Engineering · Materials Science · Physics and Astronomy · #35B27 #35Q60 #74Q10 #FOS: Mathematics #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Numerical Analysis (math.NA) #Optical Coatings and Gratings #Photonic Crystals and Applications #Plasmonic and Surface Plasmon Research
paper · pdf · doi:10.48550/arxiv.1809.08276
openalex publication_date 2018/09/21 · openalex created_date 2022/08/03 · openalex updated_date 2026/07/28
By using an asymptotic analysis and numerical simulations, we derive and\ninvestigate a system of homogenized Maxwell's equations for conducting material\nsheets that are periodically arranged and embedded in a heterogeneous and\nanisotropic dielectric host. This structure is motivated by the need to design\nplasmonic crystals that enable the propagation of electromagnetic waves with no\nphase delay (epsilon-near-zero effect). Our microscopic model incorporates the\nsurface conductivity of the two-dimensional (2D) material of each sheet and a\ncorresponding line charge density through a line conductivity along possible\nedges of the sheets. Our analysis generalizes averaging principles inherent in\nprevious Bloch-wave approaches. We investigate physical implications of our\nfindings. In particular, we emphasize the role of the vector-valued corrector\nfield, which expresses microscopic modes of surface waves on the 2D material.\nWe demonstrate how our homogenization procedure may set the foundation for\ncomputational investigations of: effective optical responses of reasonably\ngeneral geometries, and complicated design problems in the plasmonics of 2D\nmaterials.\n