Unknown

Dataset Information

0

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


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.

SUBMITTER: Maier M 

PROVIDER: S-EPMC6834021 | biostudies-literature | 2019 Oct

REPOSITORIES: biostudies-literature

altmetric image

Publications

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

Maier M M   Mattheakis M M   Kaxiras E E   Luskin M M   Margetis D D  

Proceedings. Mathematical, physical, and engineering sciences 20191009 2230


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-dim  ...[more]

Similar Datasets

| S-EPMC6491601 | biostudies-literature
| S-EPMC4346791 | biostudies-other
| S-EPMC5827799 | biostudies-other
| S-EPMC9328691 | biostudies-literature
| S-EPMC4523933 | biostudies-literature
| S-EPMC6906952 | biostudies-literature
| S-EPMC7322020 | biostudies-literature
| S-EPMC4637893 | biostudies-literature
| S-EPMC6465304 | biostudies-literature
| S-EPMC9217913 | biostudies-literature